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- experiments/learnability/bestfirst_eval/eval_driver.log +77 -0
- experiments/learnability/bestfirst_eval/minimo_0pt_base_bf_extrinsic-95.json +1048 -0
- experiments/learnability/bestfirst_eval/minimo_0pt_base_bf_extrinsic-95.log +755 -0
- experiments/learnability/bestfirst_eval/minimo_1pt_base_bf_extrinsic-95.json +1344 -0
- experiments/learnability/bestfirst_eval/minimo_1pt_base_bf_extrinsic-95.log +755 -0
- experiments/learnability/bestfirst_eval_gold/eval_driver.log +62 -0
- experiments/learnability/run_bestfirst_eval.sh +89 -0
- experiments/learnability/run_bestfirst_eval_gold.sh +80 -0
- experiments/learnability/train_policy_only/driver.log +26 -0
- experiments/learnability/train_policy_only/minimo_0pt/s42/2026-06-28_05-29-55/summary.json +18 -0
- experiments/learnability/train_policy_only/minimo_0pt/s42/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64/1.pt +3 -0
- experiments/learnability/train_policy_only/minimo_0pt/s42/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64/ablation_config.json +8 -0
- experiments/learnability/train_policy_only/minimo_0pt/s42/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64/bf_extrinsic-95_final.json +1057 -0
- experiments/learnability/train_policy_only/minimo_0pt/s42/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64/bf_extrinsic-95_final.log +755 -0
- experiments/learnability/train_policy_only/minimo_0pt/s42/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64/bf_extrinsic-95_mid.json +1057 -0
- experiments/learnability/train_policy_only/minimo_0pt/s42/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64/bf_extrinsic-95_mid.log +755 -0
- experiments/learnability/train_policy_only/minimo_0pt/s42/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64/epoch_1.pt +3 -0
- experiments/learnability/train_policy_only/minimo_0pt/s42/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64/epoch_2.pt +3 -0
- experiments/learnability/train_policy_only/minimo_0pt/s42/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64/rollout_extrinsic-95_final.json +0 -0
- experiments/learnability/train_policy_only/minimo_0pt/s42/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64/rollout_extrinsic-95_final.log +860 -0
- experiments/learnability/train_policy_only/minimo_0pt/s42/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64/rollout_extrinsic-95_mid.log +334 -0
- experiments/learnability/train_policy_only/minimo_0pt/s42/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64/train_stats.json +3 -0
- experiments/learnability/train_policy_only/minimo_0pt/s42/train.log +40 -0
- experiments/learnability/train_policy_only/minimo_0pt/s43/2026-06-28_05-29-55/summary.json +18 -0
- experiments/learnability/train_policy_only/minimo_0pt/s43/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64/1.pt +3 -0
- experiments/learnability/train_policy_only/minimo_0pt/s43/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64/ablation_config.json +8 -0
- experiments/learnability/train_policy_only/minimo_0pt/s43/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64/bf_extrinsic-95_final.json +1057 -0
- experiments/learnability/train_policy_only/minimo_0pt/s43/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64/bf_extrinsic-95_final.log +755 -0
- experiments/learnability/train_policy_only/minimo_0pt/s43/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64/bf_extrinsic-95_mid.json +1057 -0
- experiments/learnability/train_policy_only/minimo_0pt/s43/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64/bf_extrinsic-95_mid.log +755 -0
- experiments/learnability/train_policy_only/minimo_0pt/s43/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64/epoch_1.pt +3 -0
- experiments/learnability/train_policy_only/minimo_0pt/s43/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64/epoch_2.pt +3 -0
- experiments/learnability/train_policy_only/minimo_0pt/s43/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64/rollout_extrinsic-95_final.json +0 -0
- experiments/learnability/train_policy_only/minimo_0pt/s43/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64/rollout_extrinsic-95_final.log +857 -0
- experiments/learnability/train_policy_only/minimo_0pt/s43/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64/rollout_extrinsic-95_mid.log +201 -0
- experiments/learnability/train_policy_only/minimo_0pt/s43/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64/train_stats.json +3 -0
- experiments/learnability/train_policy_only/minimo_0pt/s43/train.log +40 -0
- experiments/learnability/train_policy_only/minimo_0pt/s44/2026-06-28_05-30-13/summary.json +18 -0
- experiments/learnability/train_policy_only/minimo_0pt/s44/2026-06-28_05-30-13/updates_0_epoch_2ep_bs64/1.pt +3 -0
- experiments/learnability/train_policy_only/minimo_0pt/s44/2026-06-28_05-30-13/updates_0_epoch_2ep_bs64/ablation_config.json +8 -0
- experiments/learnability/train_policy_only/minimo_0pt/s44/2026-06-28_05-30-13/updates_0_epoch_2ep_bs64/bf_extrinsic-95_final.json +1057 -0
- experiments/learnability/train_policy_only/minimo_0pt/s44/2026-06-28_05-30-13/updates_0_epoch_2ep_bs64/bf_extrinsic-95_final.log +755 -0
- experiments/learnability/train_policy_only/minimo_0pt/s44/2026-06-28_05-30-13/updates_0_epoch_2ep_bs64/bf_extrinsic-95_mid.json +1057 -0
- experiments/learnability/train_policy_only/minimo_0pt/s44/2026-06-28_05-30-13/updates_0_epoch_2ep_bs64/bf_extrinsic-95_mid.log +755 -0
- experiments/learnability/train_policy_only/minimo_0pt/s44/2026-06-28_05-30-13/updates_0_epoch_2ep_bs64/epoch_1.pt +3 -0
- experiments/learnability/train_policy_only/minimo_0pt/s44/2026-06-28_05-30-13/updates_0_epoch_2ep_bs64/epoch_2.pt +3 -0
- experiments/learnability/train_policy_only/minimo_0pt/s44/2026-06-28_05-30-13/updates_0_epoch_2ep_bs64/rollout_extrinsic-95_final.json +0 -0
- experiments/learnability/train_policy_only/minimo_0pt/s44/2026-06-28_05-30-13/updates_0_epoch_2ep_bs64/rollout_extrinsic-95_final.log +827 -0
- experiments/learnability/train_policy_only/minimo_0pt/s44/2026-06-28_05-30-13/updates_0_epoch_2ep_bs64/rollout_extrinsic-95_mid.log +218 -0
- experiments/learnability/train_policy_only/minimo_0pt/s44/2026-06-28_05-30-13/updates_0_epoch_2ep_bs64/train_stats.json +3 -0
experiments/learnability/bestfirst_eval/eval_driver.log
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[2026-06-29 03:08:47] ===== START: 22 best-first evals (max_pops=4000 timeout=600s) on GPUs 0 1 2 3 =====
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[2026-06-29 03:08:47] EVAL [0/22] base/minimo_0pt -> gpu 0
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[2026-06-29 03:08:47] EVAL [1/22] base/minimo_1pt -> gpu 1
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[2026-06-29 03:08:47] EVAL [2/22] final/minimo_0pt/s42/2026-06-28_05-29-55 -> gpu 2
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[2026-06-29 03:08:47] EVAL [3/22] final/minimo_0pt/s43/2026-06-28_05-29-55 -> gpu 3
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[2026-06-29 03:08:54] EVAL DONE base/minimo_0pt
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[2026-06-29 03:08:55] EVAL DONE base/minimo_1pt
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[2026-06-29 03:10:56] EVAL DONE final/minimo_0pt/s43/2026-06-28_05-29-55
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[2026-06-29 03:10:56] EVAL DONE final/minimo_0pt/s42/2026-06-28_05-29-55
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[2026-06-29 03:11:16] ===== START: 22 best-first evals (max_pops=4000 timeout=600s) on GPUs 0 1 2 3 =====
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[2026-06-29 03:11:16] EVAL [0/22] base/minimo_0pt -> gpu 0
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[2026-06-29 03:11:16] EVAL [1/22] base/minimo_1pt -> gpu 1
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[2026-06-29 03:11:16] EVAL [2/22] final/minimo_0pt/s42/2026-06-28_05-29-55 -> gpu 2
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[2026-06-29 03:11:16] EVAL [3/22] final/minimo_0pt/s43/2026-06-28_05-29-55 -> gpu 3
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[2026-06-29 03:47:10] EVAL DONE base/minimo_1pt
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[2026-06-29 03:56:56] EVAL DONE final/minimo_0pt/s42/2026-06-28_05-29-55
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[2026-06-29 03:57:08] EVAL DONE final/minimo_0pt/s43/2026-06-28_05-29-55
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[2026-06-29 03:57:33] EVAL DONE base/minimo_0pt
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[2026-06-29 03:57:33] EVAL [4/22] final/minimo_0pt/s44/2026-06-28_05-30-13 -> gpu 0
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[2026-06-29 03:57:33] EVAL [5/22] final/minimo_0pt/s45/2026-06-28_05-30-13 -> gpu 1
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[2026-06-29 03:57:33] EVAL [6/22] final/minimo_0pt/s46/2026-06-28_05-30-31 -> gpu 2
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[2026-06-29 03:57:33] EVAL [7/22] final/minimo_1pt/s42/2026-06-28_05-30-31 -> gpu 3
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[2026-06-29 04:36:09] EVAL DONE final/minimo_1pt/s42/2026-06-28_05-30-31
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[2026-06-29 04:43:14] EVAL DONE final/minimo_0pt/s46/2026-06-28_05-30-31
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[2026-06-29 04:43:24] EVAL DONE final/minimo_0pt/s45/2026-06-28_05-30-13
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[2026-06-29 04:43:42] EVAL DONE final/minimo_0pt/s44/2026-06-28_05-30-13
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[2026-06-29 04:43:42] EVAL [8/22] final/minimo_1pt/s43/2026-06-28_05-30-50 -> gpu 0
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[2026-06-29 04:43:42] EVAL [9/22] final/minimo_1pt/s44/2026-06-28_05-30-50 -> gpu 1
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[2026-06-29 04:43:42] EVAL [10/22] final/minimo_1pt/s45/2026-06-28_05-31-10 -> gpu 2
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[2026-06-29 04:43:42] EVAL [11/22] final/minimo_1pt/s46/2026-06-28_05-31-10 -> gpu 3
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[2026-06-29 05:19:29] EVAL DONE final/minimo_1pt/s43/2026-06-28_05-30-50
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[2026-06-29 05:19:45] EVAL DONE final/minimo_1pt/s44/2026-06-28_05-30-50
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[2026-06-29 05:21:14] EVAL DONE final/minimo_1pt/s45/2026-06-28_05-31-10
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[2026-06-29 05:23:48] EVAL DONE final/minimo_1pt/s46/2026-06-28_05-31-10
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[2026-06-29 05:23:48] EVAL [12/22] mid/minimo_0pt/s42/2026-06-28_05-29-55 -> gpu 0
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[2026-06-29 05:23:48] EVAL [13/22] mid/minimo_0pt/s43/2026-06-28_05-29-55 -> gpu 1
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[2026-06-29 05:23:48] EVAL [14/22] mid/minimo_0pt/s44/2026-06-28_05-30-13 -> gpu 2
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[2026-06-29 05:23:48] EVAL [15/22] mid/minimo_0pt/s45/2026-06-28_05-30-13 -> gpu 3
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[2026-06-29 06:09:37] EVAL DONE mid/minimo_0pt/s44/2026-06-28_05-30-13
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[2026-06-29 06:09:43] EVAL DONE mid/minimo_0pt/s43/2026-06-28_05-29-55
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[2026-06-29 06:09:43] EVAL DONE mid/minimo_0pt/s45/2026-06-28_05-30-13
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[2026-06-29 06:10:07] EVAL DONE mid/minimo_0pt/s42/2026-06-28_05-29-55
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[2026-06-29 06:10:07] EVAL [16/22] mid/minimo_0pt/s46/2026-06-28_05-30-31 -> gpu 0
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[2026-06-29 06:10:07] EVAL [17/22] mid/minimo_1pt/s42/2026-06-28_05-30-31 -> gpu 1
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[2026-06-29 06:10:07] EVAL [18/22] mid/minimo_1pt/s43/2026-06-28_05-30-50 -> gpu 2
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[2026-06-29 06:10:07] EVAL [19/22] mid/minimo_1pt/s44/2026-06-28_05-30-50 -> gpu 3
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[2026-06-29 06:47:00] EVAL DONE mid/minimo_1pt/s44/2026-06-28_05-30-50
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[2026-06-29 06:49:32] EVAL DONE mid/minimo_1pt/s42/2026-06-28_05-30-31
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[2026-06-29 06:50:23] EVAL DONE mid/minimo_1pt/s43/2026-06-28_05-30-50
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[2026-06-29 06:56:14] EVAL DONE mid/minimo_0pt/s46/2026-06-28_05-30-31
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[2026-06-29 06:56:14] EVAL [20/22] mid/minimo_1pt/s45/2026-06-28_05-31-10 -> gpu 0
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[2026-06-29 06:56:14] EVAL [21/22] mid/minimo_1pt/s46/2026-06-28_05-31-10 -> gpu 1
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[2026-06-29 07:31:27] EVAL DONE mid/minimo_1pt/s46/2026-06-28_05-31-10
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[2026-06-29 07:31:44] EVAL DONE mid/minimo_1pt/s45/2026-06-28_05-31-10
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[2026-06-29 07:31:44] --- All evals complete ---
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experiments/learnability/bestfirst_eval/minimo_0pt_base_bf_extrinsic-95.json
ADDED
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@@ -0,0 +1,1048 @@
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|
experiments/learnability/bestfirst_eval/minimo_0pt_base_bf_extrinsic-95.log
ADDED
|
@@ -0,0 +1,755 @@
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|
| 1 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 2 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 3 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 4 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 5 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 6 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 7 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 8 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 9 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 10 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 11 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 12 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 13 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 14 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 15 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 16 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 17 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 18 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 19 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 20 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 21 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 22 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 23 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 24 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 25 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 26 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 27 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 28 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 29 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 30 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 31 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 32 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 33 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 34 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 35 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 36 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 37 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 38 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 39 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 40 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 41 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 42 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 43 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 44 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 45 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 46 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 47 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 48 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 49 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 50 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 51 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 52 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 53 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 54 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 55 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 56 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 57 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 58 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 59 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 60 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 61 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 62 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 63 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 64 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 65 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 66 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 67 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 68 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 69 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 70 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 71 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 72 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 73 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 74 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 75 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 76 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 77 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 78 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 79 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 80 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 81 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 82 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 83 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 84 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 85 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 86 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 87 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 88 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 89 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 90 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 91 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 92 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 93 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 94 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 95 |
+
[OK ] extrinsic_L0_1 (solved pops=3 evals=21 maxopen=17)
|
| 96 |
+
[OK ] extrinsic_L0_6 (solved pops=53 evals=346 maxopen=294)
|
| 97 |
+
[OK ] extrinsic_L0_2 (solved pops=55 evals=350 maxopen=296)
|
| 98 |
+
[OK ] extrinsic_L0_5 (solved pops=57 evals=353 maxopen=297)
|
| 99 |
+
[OK ] extrinsic_L0_3 (solved pops=64 evals=395 maxopen=332)
|
| 100 |
+
[OK ] extrinsic_L0_10 (solved pops=11 evals=75 maxopen=65)
|
| 101 |
+
[OK ] extrinsic_L0_7 (solved pops=55 evals=352 maxopen=298)
|
| 102 |
+
[OK ] extrinsic_L0_12 (solved pops=16 evals=89 maxopen=57)
|
| 103 |
+
[OK ] extrinsic_L0_8 (solved pops=53 evals=347 maxopen=295)
|
| 104 |
+
[OK ] extrinsic_L0_13 (solved pops=25 evals=176 maxopen=152)
|
| 105 |
+
[OK ] extrinsic_L0_9 (solved pops=53 evals=362 maxopen=294)
|
| 106 |
+
[OK ] extrinsic_L0_4 (solved pops=201 evals=1060 maxopen=860)
|
| 107 |
+
[OK ] extrinsic_L1_4 (solved pops=18 evals=121 maxopen=102)
|
| 108 |
+
[OK ] extrinsic_L0_11 (solved pops=210 evals=1157 maxopen=948)
|
| 109 |
+
[OK ] extrinsic_L1_1 (solved pops=225 evals=1196 maxopen=954)
|
| 110 |
+
[OK ] extrinsic_L1_2 (solved pops=452 evals=2444 maxopen=1993)
|
| 111 |
+
[OK ] extrinsic_L1_3 (solved pops=452 evals=2441 maxopen=1990)
|
| 112 |
+
[OK ] extrinsic_L2_1 (solved pops=1414 evals=7998 maxopen=6585)
|
| 113 |
+
[OK ] extrinsic_L2_6 (solved pops=1418 evals=8021 maxopen=6604)
|
| 114 |
+
[OK ] extrinsic_L2_7 (solved pops=898 evals=4947 maxopen=4050)
|
| 115 |
+
[ ] extrinsic_L2_2 (budget pops=4000 evals=26022 maxopen=22023)
|
| 116 |
+
[ ] extrinsic_L0_14 (budget pops=4000 evals=26308 maxopen=22309)
|
| 117 |
+
[ ] extrinsic_L2_3 (budget pops=4000 evals=26017 maxopen=22018)
|
| 118 |
+
[OK ] extrinsic_L2_11 (solved pops=22 evals=145 maxopen=122)
|
| 119 |
+
[ ] extrinsic_L2_4 (budget pops=4000 evals=26012 maxopen=22013)
|
| 120 |
+
[ ] extrinsic_L2_5 (budget pops=4000 evals=25845 maxopen=21846)
|
| 121 |
+
[OK ] extrinsic_L2_9 (solved pops=995 evals=5535 maxopen=4541)
|
| 122 |
+
[OK ] extrinsic_L2_12 (solved pops=1322 evals=7487 maxopen=6166)
|
| 123 |
+
[ ] extrinsic_L2_8 (budget pops=4000 evals=26325 maxopen=22326)
|
| 124 |
+
[ ] extrinsic_L2_10 (budget pops=4000 evals=26099 maxopen=22100)
|
| 125 |
+
[ ] extrinsic_L2_13 (budget pops=4000 evals=25708 maxopen=21709)
|
| 126 |
+
[ ] extrinsic_L3_1 (budget pops=4000 evals=26029 maxopen=22030)
|
| 127 |
+
[ ] extrinsic_L3_2 (budget pops=4000 evals=25731 maxopen=21732)
|
| 128 |
+
[ ] extrinsic_L3_3 (budget pops=4000 evals=25729 maxopen=21730)
|
| 129 |
+
[ ] extrinsic_L3_4 (budget pops=4000 evals=25927 maxopen=21928)
|
| 130 |
+
[ ] extrinsic_L3_5 (budget pops=4000 evals=25932 maxopen=21933)
|
| 131 |
+
[ ] extrinsic_L3_6 (budget pops=4000 evals=25833 maxopen=21834)
|
| 132 |
+
[ ] extrinsic_L3_7 (budget pops=4000 evals=26004 maxopen=22005)
|
| 133 |
+
[ ] extrinsic_L3_8 (budget pops=4000 evals=26146 maxopen=22147)
|
| 134 |
+
[ ] extrinsic_L3_9 (budget pops=4000 evals=26098 maxopen=22099)
|
| 135 |
+
[ ] extrinsic_L3_10 (budget pops=4000 evals=26006 maxopen=22007)
|
| 136 |
+
[OK ] extrinsic_L3_13 (solved pops=3008 evals=17936 maxopen=14929)
|
| 137 |
+
[OK ] extrinsic_L3_14 (solved pops=3163 evals=19748 maxopen=16586)
|
| 138 |
+
[ ] extrinsic_L3_11 (budget pops=4000 evals=25697 maxopen=21698)
|
| 139 |
+
[ ] extrinsic_L3_12 (budget pops=4000 evals=25704 maxopen=21705)
|
| 140 |
+
[ ] extrinsic_L3_15 (budget pops=4000 evals=26079 maxopen=22080)
|
| 141 |
+
[ ] extrinsic_L3_16 (budget pops=4000 evals=26053 maxopen=22054)
|
| 142 |
+
[ ] extrinsic_L3_17 (budget pops=4000 evals=25822 maxopen=21823)
|
| 143 |
+
[ ] extrinsic_L3_18 (budget pops=4000 evals=26002 maxopen=22003)
|
| 144 |
+
[ ] extrinsic_L3_19 (budget pops=4000 evals=25892 maxopen=21893)
|
| 145 |
+
[ ] extrinsic_L3_20 (budget pops=4000 evals=26009 maxopen=22010)
|
| 146 |
+
[ ] extrinsic_L3_21 (budget pops=4000 evals=25965 maxopen=21966)
|
| 147 |
+
[ ] extrinsic_L3_22 (budget pops=4000 evals=26014 maxopen=22015)
|
| 148 |
+
[ ] extrinsic_L3_23 (budget pops=4000 evals=26021 maxopen=22022)
|
| 149 |
+
[ ] extrinsic_L3_24 (budget pops=4000 evals=26314 maxopen=22315)
|
| 150 |
+
[ ] extrinsic_L3_26 (budget pops=4000 evals=26023 maxopen=22024)
|
| 151 |
+
[ ] extrinsic_L3_25 (budget pops=4000 evals=27014 maxopen=23015)
|
| 152 |
+
[ ] extrinsic_L3_27 (budget pops=4000 evals=25989 maxopen=21990)
|
| 153 |
+
[ ] extrinsic_L3_28 (budget pops=4000 evals=25958 maxopen=21959)
|
| 154 |
+
[ ] extrinsic_L4_1 (budget pops=4000 evals=26683 maxopen=22684)
|
| 155 |
+
[ ] extrinsic_L3_29 (budget pops=4000 evals=26769 maxopen=22770)
|
| 156 |
+
[ ] extrinsic_L4_2 (budget pops=4000 evals=25941 maxopen=21942)
|
| 157 |
+
[ ] extrinsic_L4_3 (budget pops=4000 evals=25895 maxopen=21896)
|
| 158 |
+
[ ] extrinsic_L4_4 (budget pops=4000 evals=25861 maxopen=21862)
|
| 159 |
+
[ ] extrinsic_L4_5 (budget pops=4000 evals=25952 maxopen=21953)
|
| 160 |
+
[ ] extrinsic_L4_6 (budget pops=4000 evals=25879 maxopen=21880)
|
| 161 |
+
[ ] extrinsic_L4_7 (budget pops=4000 evals=26271 maxopen=22272)
|
| 162 |
+
[ ] extrinsic_L4_8 (budget pops=4000 evals=25910 maxopen=21911)
|
| 163 |
+
[ ] extrinsic_L4_9 (budget pops=4000 evals=26151 maxopen=22152)
|
| 164 |
+
[OK ] extrinsic_L4_12 (solved pops=1261 evals=7127 maxopen=5864)
|
| 165 |
+
[ ] extrinsic_L4_10 (budget pops=4000 evals=25478 maxopen=21479)
|
| 166 |
+
[ ] extrinsic_L4_11 (budget pops=4000 evals=26382 maxopen=22383)
|
| 167 |
+
[ ] extrinsic_L4_13 (budget pops=4000 evals=25817 maxopen=21818)
|
| 168 |
+
[ ] extrinsic_L4_14 (budget pops=4000 evals=26299 maxopen=22300)
|
| 169 |
+
[ ] extrinsic_L5_1 (budget pops=4000 evals=26391 maxopen=22392)
|
| 170 |
+
[ ] extrinsic_L5_2 (budget pops=4000 evals=26218 maxopen=22219)
|
| 171 |
+
[ ] extrinsic_L5_3 (budget pops=4000 evals=26210 maxopen=22211)
|
| 172 |
+
[ ] extrinsic_L5_4 (budget pops=4000 evals=26331 maxopen=22332)
|
| 173 |
+
[ ] extrinsic_L5_5 (budget pops=4000 evals=26028 maxopen=22029)
|
| 174 |
+
[ ] extrinsic_L5_6 (budget pops=4000 evals=26112 maxopen=22113)
|
| 175 |
+
[ ] extrinsic_L5_7 (budget pops=4000 evals=26387 maxopen=22388)
|
| 176 |
+
[ ] extrinsic_L5_8 (budget pops=4000 evals=26480 maxopen=22481)
|
| 177 |
+
[ ] extrinsic_L5_9 (budget pops=4000 evals=26331 maxopen=22332)
|
| 178 |
+
[ ] extrinsic_L5_10 (budget pops=4000 evals=26648 maxopen=22649)
|
| 179 |
+
[ ] extrinsic_L6_1 (budget pops=4000 evals=26031 maxopen=22032)
|
| 180 |
+
[ ] extrinsic_L5_11 (budget pops=4000 evals=30991 maxopen=26992)
|
| 181 |
+
[ ] extrinsic_L6_4 (budget pops=4000 evals=30992 maxopen=26993)
|
| 182 |
+
[ ] extrinsic_L6_2 (budget pops=4000 evals=31039 maxopen=27040)
|
| 183 |
+
[ ] extrinsic_L6_3 (budget pops=4000 evals=30994 maxopen=26995)
|
| 184 |
+
[ ] extrinsic_L6_5 (budget pops=4000 evals=31015 maxopen=27016)
|
| 185 |
+
[ ] extrinsic_L6_6 (budget pops=4000 evals=25918 maxopen=21919)
|
| 186 |
+
[ ] extrinsic_L6_7 (budget pops=4000 evals=25846 maxopen=21847)
|
| 187 |
+
[ ] extrinsic_L6_8 (budget pops=4000 evals=31196 maxopen=27197)
|
| 188 |
+
[ ] extrinsic_L6_9 (budget pops=4000 evals=30994 maxopen=26995)
|
| 189 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 190 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 191 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 192 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 193 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 194 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 195 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 196 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 197 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 198 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 199 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 200 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 201 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 202 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 203 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 204 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 205 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 206 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 207 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 208 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 209 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 210 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 211 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 212 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 213 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 214 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 215 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 216 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 217 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 218 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 219 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 220 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 221 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 222 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 223 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 224 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 225 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 226 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 227 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 228 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 229 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 230 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 231 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 232 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 233 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 234 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 235 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 236 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 237 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 238 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 239 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 240 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 241 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 242 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 243 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 244 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 245 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 246 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 247 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 248 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 249 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 250 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 251 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 252 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 253 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 254 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 255 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 256 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 257 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 258 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 259 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 260 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 261 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 262 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 263 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 264 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 265 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 266 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 267 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 268 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 269 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 270 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 271 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 272 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 273 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 274 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 275 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 276 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 277 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 278 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 279 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 280 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 281 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 282 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 283 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 284 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 285 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 286 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 287 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 288 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 289 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 290 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 291 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 292 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 293 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 294 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 295 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 296 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 297 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 298 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 299 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 300 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 301 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 302 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 303 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 304 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 305 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 306 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 307 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 308 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 309 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 310 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 311 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 312 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 313 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 314 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 315 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 316 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 317 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 318 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 319 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 320 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 321 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 322 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 323 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 324 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 325 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 326 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 327 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 328 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 329 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 330 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 331 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 332 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 333 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 334 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 335 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 336 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 337 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 338 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 339 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 340 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 341 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 342 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 343 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 344 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 345 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 346 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 347 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 348 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 349 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 350 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 351 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 352 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 353 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 354 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 355 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 356 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 357 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 358 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 359 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 360 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 361 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 362 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 363 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 364 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 365 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 366 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 367 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 368 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 369 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 370 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 371 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 372 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 373 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 374 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 375 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 376 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 377 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 378 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 379 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 380 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 381 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 382 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 383 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 384 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 385 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 386 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 387 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 388 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 389 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 390 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 391 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 392 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 393 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 394 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 395 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 396 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 397 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 398 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 399 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 400 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 401 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 402 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 403 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 404 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 405 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 406 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 407 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 408 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 409 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 410 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 411 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 412 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 413 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 414 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 415 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 416 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 417 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 418 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 419 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 420 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 421 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 422 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 423 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 424 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 425 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 426 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 427 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 428 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 429 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 430 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 431 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 432 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 433 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 434 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 435 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 436 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 437 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 438 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 439 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 440 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 441 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 442 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 443 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 444 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 445 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 446 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 447 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 448 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 449 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 450 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 451 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 452 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 453 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 454 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 455 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 456 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 457 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 458 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 459 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 460 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 461 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 462 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 463 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 464 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 465 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 466 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 467 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 468 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 469 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 470 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 471 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 472 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 473 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 474 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 475 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 476 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 477 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 478 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 479 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 480 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 481 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 482 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 483 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 484 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 485 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 486 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 487 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 488 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 489 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 490 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 491 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 492 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 493 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 494 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 495 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 496 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 497 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 498 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 499 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 500 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 501 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 502 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 503 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 504 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 505 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 506 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 507 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 508 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 509 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 510 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 511 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 512 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 513 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 514 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 515 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 516 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 517 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 518 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 519 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 520 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 521 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 522 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 523 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 524 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 525 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 526 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 527 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 528 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 529 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 530 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 531 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 532 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 533 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 534 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 535 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 536 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 537 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 538 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 539 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 540 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 541 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 542 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 543 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 544 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 545 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 546 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 547 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 548 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 549 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 550 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 551 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 552 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 553 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 554 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 555 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 556 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 557 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 558 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 559 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 560 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 561 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 562 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 563 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 564 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 565 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 566 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 567 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 568 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 569 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 570 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 571 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 572 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 573 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 574 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 575 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 576 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 577 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 578 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 579 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 580 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 581 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 582 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 583 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 584 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 585 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 586 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 587 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 588 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 589 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 590 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 591 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 592 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 593 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 594 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 595 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 596 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 597 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 598 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 599 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 600 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 601 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 602 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 603 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 604 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 605 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 606 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 607 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 608 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 609 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 610 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 611 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 612 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 613 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 614 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 615 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 616 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 617 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 618 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 619 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 620 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 621 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 622 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 623 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 624 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 625 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 626 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 627 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 628 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 629 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 630 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 631 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 632 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 633 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 634 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 635 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 636 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 637 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 638 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 639 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 640 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 641 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 642 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 643 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 644 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 645 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 646 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 647 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 648 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 649 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 650 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 651 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 652 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 653 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 654 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 655 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 656 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 657 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 658 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 659 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 660 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 661 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 662 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 663 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 664 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 665 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 666 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 667 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 668 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 669 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 670 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 671 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 672 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 673 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 674 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 675 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 676 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 677 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 678 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 679 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 680 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 681 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 682 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 683 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 684 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 685 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 686 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 687 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 688 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 689 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 690 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 691 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 692 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 693 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 694 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 695 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 696 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 697 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 698 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 699 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 700 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 701 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 702 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 703 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 704 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 705 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 706 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 707 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 708 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 709 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 710 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 711 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 712 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 713 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 714 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 715 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 716 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 717 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 718 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 719 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 720 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 721 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 722 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 723 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 724 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 725 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 726 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 727 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 728 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 729 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 730 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 731 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 732 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 733 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 734 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 735 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 736 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 737 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 738 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 739 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 740 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 741 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 742 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 743 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 744 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 745 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 746 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 747 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 748 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 749 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 750 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 751 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 752 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 753 |
+
|
| 754 |
+
Wrote /datadrive/ayush/home/minimoX/learning/experiments/learnability/bestfirst_eval/minimo_0pt_base_bf_extrinsic-95.json
|
| 755 |
+
Solved 26/94 in 2773.7s
|
experiments/learnability/bestfirst_eval/minimo_1pt_base_bf_extrinsic-95.json
ADDED
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@@ -0,0 +1,1344 @@
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| 1 |
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| 2 |
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|
experiments/learnability/bestfirst_eval/minimo_1pt_base_bf_extrinsic-95.log
ADDED
|
@@ -0,0 +1,755 @@
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|
| 1 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 2 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 3 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 4 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 5 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 6 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 7 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 8 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 9 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 10 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 11 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 12 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 13 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 14 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 15 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 16 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 17 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 18 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 19 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 20 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 21 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 22 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 23 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 24 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 25 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 26 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 27 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 28 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 29 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 30 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 31 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 32 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 33 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 34 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 35 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 36 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 37 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 38 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 39 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 40 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 41 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 42 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 43 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 44 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 45 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 46 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 47 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 48 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 49 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 50 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 51 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 52 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 53 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 54 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 55 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 56 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 57 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 58 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 59 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 60 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 61 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 62 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 63 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 64 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 65 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 66 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 67 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 68 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 69 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 70 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 71 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 72 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 73 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 74 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 75 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 76 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 77 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 78 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 79 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 80 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 81 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 82 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 83 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 84 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 85 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 86 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 87 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 88 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 89 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 90 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 91 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 92 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 93 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 94 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 95 |
+
[OK ] extrinsic_L0_1 (solved pops=2 evals=6 maxopen=3)
|
| 96 |
+
[OK ] extrinsic_L0_3 (solved pops=5 evals=14 maxopen=10)
|
| 97 |
+
[OK ] extrinsic_L0_6 (solved pops=5 evals=14 maxopen=10)
|
| 98 |
+
[OK ] extrinsic_L0_5 (solved pops=9 evals=48 maxopen=40)
|
| 99 |
+
[OK ] extrinsic_L0_4 (solved pops=11 evals=68 maxopen=58)
|
| 100 |
+
[OK ] extrinsic_L0_2 (solved pops=14 evals=76 maxopen=63)
|
| 101 |
+
[OK ] extrinsic_L0_10 (solved pops=4 evals=9 maxopen=6)
|
| 102 |
+
[OK ] extrinsic_L0_8 (solved pops=13 evals=75 maxopen=63)
|
| 103 |
+
[OK ] extrinsic_L0_13 (solved pops=4 evals=10 maxopen=7)
|
| 104 |
+
[OK ] extrinsic_L0_9 (solved pops=11 evals=69 maxopen=43)
|
| 105 |
+
[OK ] extrinsic_L0_7 (solved pops=17 evals=84 maxopen=68)
|
| 106 |
+
[OK ] extrinsic_L0_11 (solved pops=15 evals=76 maxopen=62)
|
| 107 |
+
[OK ] extrinsic_L0_12 (solved pops=14 evals=59 maxopen=29)
|
| 108 |
+
[OK ] extrinsic_L1_4 (solved pops=4 evals=12 maxopen=7)
|
| 109 |
+
[OK ] extrinsic_L1_1 (solved pops=16 evals=97 maxopen=64)
|
| 110 |
+
[OK ] extrinsic_L1_2 (solved pops=26 evals=198 maxopen=154)
|
| 111 |
+
[OK ] extrinsic_L1_3 (solved pops=25 evals=182 maxopen=139)
|
| 112 |
+
[OK ] extrinsic_L0_14 (solved pops=44 evals=285 maxopen=242)
|
| 113 |
+
[OK ] extrinsic_L2_1 (solved pops=66 evals=351 maxopen=286)
|
| 114 |
+
[OK ] extrinsic_L2_7 (solved pops=32 evals=192 maxopen=161)
|
| 115 |
+
[OK ] extrinsic_L2_4 (solved pops=86 evals=567 maxopen=482)
|
| 116 |
+
[OK ] extrinsic_L2_3 (solved pops=104 evals=679 maxopen=576)
|
| 117 |
+
[OK ] extrinsic_L2_9 (solved pops=47 evals=356 maxopen=310)
|
| 118 |
+
[OK ] extrinsic_L2_11 (solved pops=5 evals=13 maxopen=7)
|
| 119 |
+
[OK ] extrinsic_L2_10 (solved pops=46 evals=313 maxopen=268)
|
| 120 |
+
[OK ] extrinsic_L2_6 (solved pops=148 evals=852 maxopen=705)
|
| 121 |
+
[OK ] extrinsic_L2_8 (solved pops=100 evals=597 maxopen=498)
|
| 122 |
+
[OK ] extrinsic_L3_1 (solved pops=61 evals=445 maxopen=385)
|
| 123 |
+
[OK ] extrinsic_L2_12 (solved pops=109 evals=652 maxopen=544)
|
| 124 |
+
[OK ] extrinsic_L3_3 (solved pops=40 evals=266 maxopen=227)
|
| 125 |
+
[OK ] extrinsic_L3_4 (solved pops=82 evals=587 maxopen=485)
|
| 126 |
+
[OK ] extrinsic_L3_5 (solved pops=83 evals=618 maxopen=515)
|
| 127 |
+
[OK ] extrinsic_L2_2 (solved pops=410 evals=2108 maxopen=1699)
|
| 128 |
+
[OK ] extrinsic_L3_2 (solved pops=473 evals=2519 maxopen=2047)
|
| 129 |
+
[OK ] extrinsic_L2_5 (solved pops=795 evals=4382 maxopen=3588)
|
| 130 |
+
[OK ] extrinsic_L3_6 (solved pops=740 evals=4100 maxopen=3361)
|
| 131 |
+
[OK ] extrinsic_L3_11 (solved pops=252 evals=1326 maxopen=1072)
|
| 132 |
+
[OK ] extrinsic_L3_12 (solved pops=217 evals=1157 maxopen=941)
|
| 133 |
+
[OK ] extrinsic_L3_13 (solved pops=30 evals=185 maxopen=156)
|
| 134 |
+
[OK ] extrinsic_L3_14 (solved pops=46 evals=338 maxopen=293)
|
| 135 |
+
[OK ] extrinsic_L3_15 (solved pops=1663 evals=9917 maxopen=8255)
|
| 136 |
+
[OK ] extrinsic_L3_16 (solved pops=181 evals=979 maxopen=799)
|
| 137 |
+
[ ] extrinsic_L2_13 (budget pops=4000 evals=25210 maxopen=21211)
|
| 138 |
+
[ ] extrinsic_L3_7 (budget pops=4000 evals=24794 maxopen=20795)
|
| 139 |
+
[OK ] extrinsic_L3_18 (solved pops=592 evals=3428 maxopen=2816)
|
| 140 |
+
[OK ] extrinsic_L3_17 (solved pops=1359 evals=8178 maxopen=6801)
|
| 141 |
+
[ ] extrinsic_L3_8 (budget pops=4000 evals=28200 maxopen=24201)
|
| 142 |
+
[ ] extrinsic_L3_9 (budget pops=4000 evals=25416 maxopen=21417)
|
| 143 |
+
[ ] extrinsic_L3_10 (budget pops=4000 evals=26882 maxopen=22883)
|
| 144 |
+
[OK ] extrinsic_L3_23 (solved pops=477 evals=2990 maxopen=2514)
|
| 145 |
+
[OK ] extrinsic_L3_25 (solved pops=495 evals=2874 maxopen=2360)
|
| 146 |
+
[ ] extrinsic_L3_19 (budget pops=4000 evals=23887 maxopen=19888)
|
| 147 |
+
[ ] extrinsic_L3_24 (budget pops=4000 evals=27030 maxopen=23031)
|
| 148 |
+
[ ] extrinsic_L3_20 (budget pops=4000 evals=25074 maxopen=21075)
|
| 149 |
+
[ ] extrinsic_L3_21 (budget pops=4000 evals=24618 maxopen=20619)
|
| 150 |
+
[ ] extrinsic_L3_22 (budget pops=4000 evals=24240 maxopen=20241)
|
| 151 |
+
[ ] extrinsic_L3_26 (budget pops=4000 evals=28211 maxopen=24212)
|
| 152 |
+
[OK ] extrinsic_L4_3 (solved pops=989 evals=5608 maxopen=4620)
|
| 153 |
+
[ ] extrinsic_L4_1 (budget pops=4000 evals=26839 maxopen=22840)
|
| 154 |
+
[OK ] extrinsic_L4_2 (solved pops=3886 evals=32218 maxopen=28333)
|
| 155 |
+
[ ] extrinsic_L3_27 (budget pops=4000 evals=26923 maxopen=22924)
|
| 156 |
+
[ ] extrinsic_L3_28 (budget pops=4000 evals=26199 maxopen=22200)
|
| 157 |
+
[ ] extrinsic_L4_4 (budget pops=4000 evals=28098 maxopen=24099)
|
| 158 |
+
[ ] extrinsic_L3_29 (budget pops=4000 evals=33376 maxopen=29377)
|
| 159 |
+
[ ] extrinsic_L4_5 (budget pops=4000 evals=29691 maxopen=25692)
|
| 160 |
+
[ ] extrinsic_L4_6 (budget pops=4000 evals=28385 maxopen=24386)
|
| 161 |
+
[OK ] extrinsic_L4_12 (solved pops=139 evals=808 maxopen=667)
|
| 162 |
+
[ ] extrinsic_L4_7 (budget pops=4000 evals=24224 maxopen=20225)
|
| 163 |
+
[ ] extrinsic_L4_8 (budget pops=4000 evals=27966 maxopen=23967)
|
| 164 |
+
[ ] extrinsic_L4_9 (budget pops=4000 evals=24187 maxopen=20188)
|
| 165 |
+
[ ] extrinsic_L4_10 (budget pops=4000 evals=28454 maxopen=24455)
|
| 166 |
+
[ ] extrinsic_L4_13 (budget pops=4000 evals=27712 maxopen=23713)
|
| 167 |
+
[ ] extrinsic_L4_11 (budget pops=4000 evals=32557 maxopen=28558)
|
| 168 |
+
[ ] extrinsic_L4_14 (budget pops=4000 evals=27657 maxopen=23658)
|
| 169 |
+
[ ] extrinsic_L5_1 (budget pops=4000 evals=30373 maxopen=26374)
|
| 170 |
+
[ ] extrinsic_L5_2 (budget pops=4000 evals=29841 maxopen=25842)
|
| 171 |
+
[ ] extrinsic_L5_3 (budget pops=4000 evals=30605 maxopen=26606)
|
| 172 |
+
[ ] extrinsic_L5_6 (budget pops=4000 evals=23774 maxopen=19775)
|
| 173 |
+
[ ] extrinsic_L5_5 (budget pops=4000 evals=30765 maxopen=26766)
|
| 174 |
+
[ ] extrinsic_L5_4 (budget pops=4000 evals=30439 maxopen=26440)
|
| 175 |
+
[OK ] extrinsic_L6_1 (solved pops=344 evals=1958 maxopen=1615)
|
| 176 |
+
[ ] extrinsic_L5_7 (budget pops=4000 evals=30080 maxopen=26081)
|
| 177 |
+
[ ] extrinsic_L5_11 (budget pops=4000 evals=30864 maxopen=26865)
|
| 178 |
+
[ ] extrinsic_L5_8 (budget pops=4000 evals=31602 maxopen=27603)
|
| 179 |
+
[ ] extrinsic_L5_9 (budget pops=4000 evals=30833 maxopen=26834)
|
| 180 |
+
[ ] extrinsic_L5_10 (budget pops=4000 evals=33105 maxopen=29106)
|
| 181 |
+
[ ] extrinsic_L6_2 (budget pops=4000 evals=29263 maxopen=25264)
|
| 182 |
+
[ ] extrinsic_L6_3 (budget pops=4000 evals=27721 maxopen=23722)
|
| 183 |
+
[ ] extrinsic_L6_4 (budget pops=4000 evals=27734 maxopen=23735)
|
| 184 |
+
[ ] extrinsic_L6_5 (budget pops=4000 evals=28157 maxopen=24158)
|
| 185 |
+
[ ] extrinsic_L6_6 (budget pops=4000 evals=25708 maxopen=21709)
|
| 186 |
+
[ ] extrinsic_L6_7 (budget pops=4000 evals=24357 maxopen=20358)
|
| 187 |
+
[ ] extrinsic_L6_9 (budget pops=4000 evals=24500 maxopen=20501)
|
| 188 |
+
[ ] extrinsic_L6_8 (budget pops=4000 evals=25221 maxopen=21222)
|
| 189 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 190 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 191 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 192 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 193 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 194 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 195 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 196 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 197 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 198 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 199 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 200 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 201 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 202 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 203 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 204 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 205 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 206 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 207 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 208 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 209 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 210 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 211 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 212 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 213 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 214 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 215 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 216 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 217 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 218 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 219 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 220 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 221 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 222 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 223 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 224 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 225 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 226 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 227 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 228 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 229 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 230 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 231 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 232 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 233 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 234 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 235 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 236 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 237 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 238 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 239 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 240 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 241 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 242 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 243 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 244 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 245 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 246 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 247 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 248 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 249 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 250 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 251 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 252 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 253 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 254 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 255 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 256 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 257 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 258 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 259 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 260 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 261 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 262 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 263 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 264 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 265 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 266 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 267 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 268 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 269 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 270 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 271 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 272 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 273 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 274 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 275 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 276 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 277 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 278 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 279 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 280 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 281 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 282 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 283 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 284 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 285 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 286 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 287 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 288 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 289 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 290 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 291 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 292 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 293 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 294 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 295 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 296 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 297 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 298 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 299 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 300 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 301 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 302 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 303 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 304 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 305 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 306 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 307 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 308 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 309 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 310 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 311 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 312 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 313 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 314 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 315 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 316 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 317 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 318 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 319 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 320 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 321 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 322 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 323 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 324 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 325 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 326 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 327 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 328 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 329 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 330 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 331 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 332 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 333 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 334 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 335 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 336 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 337 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 338 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 339 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 340 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 341 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 342 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 343 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 344 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 345 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 346 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 347 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 348 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 349 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 350 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 351 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 352 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 353 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 354 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 355 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 356 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 357 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 358 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 359 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 360 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 361 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 362 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 363 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 364 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 365 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 366 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 367 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 368 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 369 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 370 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 371 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 372 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 373 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 374 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 375 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 376 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 377 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 378 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 379 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 380 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 381 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 382 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 383 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 384 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 385 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 386 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 387 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 388 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 389 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 390 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 391 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 392 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 393 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 394 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 395 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 396 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 397 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 398 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 399 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 400 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 401 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 402 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 403 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 404 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 405 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 406 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 407 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 408 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 409 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 410 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 411 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 412 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 413 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 414 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 415 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 416 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 417 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 418 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 419 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 420 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 421 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 422 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 423 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 424 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 425 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 426 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 427 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 428 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 429 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 430 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 431 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 432 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 433 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 434 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 435 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 436 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 437 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 438 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 439 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 440 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 441 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 442 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 443 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 444 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 445 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 446 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 447 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 448 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 449 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 450 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 451 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 452 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 453 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 454 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 455 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 456 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 457 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 458 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 459 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 460 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 461 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 462 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 463 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 464 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 465 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 466 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 467 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 468 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 469 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 470 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 471 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 472 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 473 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 474 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 475 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 476 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 477 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 478 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 479 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 480 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 481 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 482 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 483 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 484 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 485 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 486 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 487 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 488 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 489 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 490 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 491 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 492 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 493 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 494 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 495 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 496 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 497 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 498 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 499 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 500 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 501 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 502 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 503 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 504 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 505 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 506 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 507 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 508 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 509 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 510 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 511 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 512 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 513 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 514 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 515 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 516 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 517 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 518 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 519 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 520 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 521 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 522 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 523 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 524 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 525 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 526 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 527 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 528 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 529 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 530 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 531 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 532 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 533 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 534 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 535 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 536 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 537 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 538 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 539 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 540 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 541 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 542 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 543 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 544 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 545 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 546 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 547 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 548 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 549 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 550 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 551 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 552 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 553 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 554 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 555 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 556 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 557 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 558 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 559 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 560 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 561 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 562 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 563 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 564 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 565 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 566 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 567 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 568 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 569 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 570 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 571 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 572 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 573 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 574 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 575 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 576 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 577 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 578 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 579 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 580 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 581 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 582 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 583 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 584 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 585 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 586 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 587 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 588 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 589 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 590 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 591 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 592 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 593 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 594 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 595 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 596 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 597 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 598 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 599 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 600 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 601 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 602 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 603 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 604 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 605 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 606 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 607 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 608 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 609 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 610 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 611 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 612 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 613 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 614 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 615 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 616 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 617 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 618 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 619 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 620 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 621 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 622 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 623 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 624 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 625 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 626 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 627 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 628 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 629 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 630 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 631 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 632 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 633 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 634 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 635 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 636 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 637 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 638 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 639 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 640 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 641 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 642 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 643 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 644 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 645 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 646 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 647 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 648 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 649 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 650 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 651 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 652 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 653 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 654 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 655 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 656 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 657 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 658 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 659 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 660 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 661 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 662 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 663 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 664 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 665 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 666 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 667 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 668 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 669 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 670 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 671 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 672 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 673 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 674 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 675 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 676 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 677 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 678 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 679 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 680 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 681 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 682 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 683 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 684 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 685 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 686 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 687 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 688 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 689 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 690 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 691 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 692 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 693 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 694 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 695 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 696 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 697 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 698 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 699 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 700 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 701 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 702 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 703 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 704 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 705 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 706 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 707 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 708 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 709 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 710 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 711 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 712 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 713 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 714 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 715 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 716 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 717 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 718 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 719 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 720 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 721 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 722 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 723 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 724 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 725 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 726 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 727 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 728 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 729 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 730 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 731 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 732 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 733 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 734 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 735 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 736 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 737 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 738 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 739 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 740 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 741 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 742 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 743 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 744 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 745 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 746 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 747 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 748 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 749 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 750 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 751 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 752 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 753 |
+
|
| 754 |
+
Wrote /datadrive/ayush/home/minimoX/learning/experiments/learnability/bestfirst_eval/minimo_1pt_base_bf_extrinsic-95.json
|
| 755 |
+
Solved 50/94 in 2150.7s
|
experiments/learnability/bestfirst_eval_gold/eval_driver.log
ADDED
|
@@ -0,0 +1,62 @@
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| 1 |
+
[2026-06-29 17:15:58] ===== START: 20 gold best-first evals (max_pops=4000 timeout=600s) on GPUs 0 1 2 3 =====
|
| 2 |
+
[2026-06-29 17:15:58] EVAL [0/20] final/gold_0pt/s42/2026-06-29_07-09-16 -> gpu 0
|
| 3 |
+
[2026-06-29 17:15:58] EVAL [1/20] final/gold_0pt/s43/2026-06-29_07-09-16 -> gpu 1
|
| 4 |
+
[2026-06-29 17:15:58] EVAL [2/20] final/gold_0pt/s44/2026-06-29_07-09-16 -> gpu 2
|
| 5 |
+
[2026-06-29 17:15:58] EVAL [3/20] final/gold_0pt/s45/2026-06-29_07-09-27 -> gpu 3
|
| 6 |
+
[2026-06-29 18:01:44] EVAL DONE final/gold_0pt/s44/2026-06-29_07-09-16
|
| 7 |
+
[2026-06-29 18:01:50] EVAL DONE final/gold_0pt/s45/2026-06-29_07-09-27
|
| 8 |
+
[2026-06-29 18:01:56] EVAL DONE final/gold_0pt/s43/2026-06-29_07-09-16
|
| 9 |
+
[2026-06-29 18:02:13] EVAL DONE final/gold_0pt/s42/2026-06-29_07-09-16
|
| 10 |
+
[2026-06-29 18:02:13] EVAL [4/20] final/gold_0pt/s46/2026-06-29_07-09-27 -> gpu 0
|
| 11 |
+
[2026-06-29 18:02:13] EVAL [5/20] final/gold_1pt/s42/2026-06-29_07-09-27 -> gpu 1
|
| 12 |
+
[2026-06-29 18:02:13] EVAL [6/20] final/gold_1pt/s43/2026-06-29_07-09-43 -> gpu 2
|
| 13 |
+
[2026-06-29 18:02:13] EVAL [7/20] final/gold_1pt/s44/2026-06-29_07-09-43 -> gpu 3
|
| 14 |
+
[2026-06-29 18:44:56] EVAL DONE final/gold_1pt/s44/2026-06-29_07-09-43
|
| 15 |
+
[2026-06-29 18:46:19] EVAL DONE final/gold_1pt/s43/2026-06-29_07-09-43
|
| 16 |
+
[2026-06-29 18:47:32] EVAL DONE final/gold_1pt/s42/2026-06-29_07-09-27
|
| 17 |
+
[2026-06-29 18:48:39] EVAL DONE final/gold_0pt/s46/2026-06-29_07-09-27
|
| 18 |
+
[2026-06-29 18:48:39] EVAL [8/20] final/gold_1pt/s45/2026-06-29_07-09-43 -> gpu 0
|
| 19 |
+
[2026-06-29 18:48:39] EVAL [9/20] final/gold_1pt/s46/2026-06-29_07-10-05 -> gpu 1
|
| 20 |
+
[2026-06-29 18:48:39] EVAL [10/20] mid/gold_0pt/s42/2026-06-29_07-09-16 -> gpu 2
|
| 21 |
+
[2026-06-29 18:48:39] EVAL [11/20] mid/gold_0pt/s43/2026-06-29_07-09-16 -> gpu 3
|
| 22 |
+
[2026-06-29 19:32:23] EVAL DONE final/gold_1pt/s45/2026-06-29_07-09-43
|
| 23 |
+
[2026-06-29 19:34:20] EVAL DONE mid/gold_0pt/s42/2026-06-29_07-09-16
|
| 24 |
+
[2026-06-29 19:34:22] EVAL DONE mid/gold_0pt/s43/2026-06-29_07-09-16
|
| 25 |
+
[2026-06-29 19:34:59] EVAL DONE final/gold_1pt/s46/2026-06-29_07-10-05
|
| 26 |
+
[2026-06-29 19:34:59] EVAL [12/20] mid/gold_0pt/s44/2026-06-29_07-09-16 -> gpu 0
|
| 27 |
+
[2026-06-29 19:34:59] EVAL [13/20] mid/gold_0pt/s45/2026-06-29_07-09-27 -> gpu 1
|
| 28 |
+
[2026-06-29 19:34:59] EVAL [14/20] mid/gold_0pt/s46/2026-06-29_07-09-27 -> gpu 2
|
| 29 |
+
[2026-06-29 19:34:59] EVAL [15/20] mid/gold_1pt/s42/2026-06-29_07-09-27 -> gpu 3
|
| 30 |
+
[2026-06-29 20:09:44] EVAL DONE mid/gold_1pt/s42/2026-06-29_07-09-27
|
| 31 |
+
[2026-06-29 20:20:36] EVAL DONE mid/gold_0pt/s46/2026-06-29_07-09-27
|
| 32 |
+
[2026-06-29 20:20:45] EVAL DONE mid/gold_0pt/s45/2026-06-29_07-09-27
|
| 33 |
+
[2026-06-29 20:21:13] EVAL DONE mid/gold_0pt/s44/2026-06-29_07-09-16
|
| 34 |
+
[2026-06-29 20:21:13] EVAL [16/20] mid/gold_1pt/s43/2026-06-29_07-09-43 -> gpu 0
|
| 35 |
+
[2026-06-29 20:21:13] EVAL [17/20] mid/gold_1pt/s44/2026-06-29_07-09-43 -> gpu 1
|
| 36 |
+
[2026-06-29 20:21:13] EVAL [18/20] mid/gold_1pt/s45/2026-06-29_07-09-43 -> gpu 2
|
| 37 |
+
[2026-06-29 20:21:13] EVAL [19/20] mid/gold_1pt/s46/2026-06-29_07-10-05 -> gpu 3
|
| 38 |
+
[2026-06-29 20:55:08] EVAL DONE mid/gold_1pt/s45/2026-06-29_07-09-43
|
| 39 |
+
[2026-06-29 20:56:18] EVAL DONE mid/gold_1pt/s46/2026-06-29_07-10-05
|
| 40 |
+
[2026-06-29 20:56:31] EVAL DONE mid/gold_1pt/s43/2026-06-29_07-09-43
|
| 41 |
+
[2026-06-29 20:56:43] EVAL DONE mid/gold_1pt/s44/2026-06-29_07-09-43
|
| 42 |
+
[2026-06-29 20:56:43] --- All gold best-first evals complete ---
|
| 43 |
+
27 / 94 /datadrive/ayush/home/minimoX/learning/experiments/learnability/train_policy_only_gold/gold_0pt/s42/2026-06-29_07-09-16/updates_0_epoch_2ep_bs64/bf_extrinsic-95_final.json
|
| 44 |
+
26 / 94 /datadrive/ayush/home/minimoX/learning/experiments/learnability/train_policy_only_gold/gold_0pt/s42/2026-06-29_07-09-16/updates_0_epoch_2ep_bs64/bf_extrinsic-95_mid.json
|
| 45 |
+
27 / 94 /datadrive/ayush/home/minimoX/learning/experiments/learnability/train_policy_only_gold/gold_0pt/s43/2026-06-29_07-09-16/updates_0_epoch_2ep_bs64/bf_extrinsic-95_final.json
|
| 46 |
+
26 / 94 /datadrive/ayush/home/minimoX/learning/experiments/learnability/train_policy_only_gold/gold_0pt/s43/2026-06-29_07-09-16/updates_0_epoch_2ep_bs64/bf_extrinsic-95_mid.json
|
| 47 |
+
27 / 94 /datadrive/ayush/home/minimoX/learning/experiments/learnability/train_policy_only_gold/gold_0pt/s44/2026-06-29_07-09-16/updates_0_epoch_2ep_bs64/bf_extrinsic-95_final.json
|
| 48 |
+
26 / 94 /datadrive/ayush/home/minimoX/learning/experiments/learnability/train_policy_only_gold/gold_0pt/s44/2026-06-29_07-09-16/updates_0_epoch_2ep_bs64/bf_extrinsic-95_mid.json
|
| 49 |
+
27 / 94 /datadrive/ayush/home/minimoX/learning/experiments/learnability/train_policy_only_gold/gold_0pt/s45/2026-06-29_07-09-27/updates_0_epoch_2ep_bs64/bf_extrinsic-95_final.json
|
| 50 |
+
26 / 94 /datadrive/ayush/home/minimoX/learning/experiments/learnability/train_policy_only_gold/gold_0pt/s45/2026-06-29_07-09-27/updates_0_epoch_2ep_bs64/bf_extrinsic-95_mid.json
|
| 51 |
+
27 / 94 /datadrive/ayush/home/minimoX/learning/experiments/learnability/train_policy_only_gold/gold_0pt/s46/2026-06-29_07-09-27/updates_0_epoch_2ep_bs64/bf_extrinsic-95_final.json
|
| 52 |
+
26 / 94 /datadrive/ayush/home/minimoX/learning/experiments/learnability/train_policy_only_gold/gold_0pt/s46/2026-06-29_07-09-27/updates_0_epoch_2ep_bs64/bf_extrinsic-95_mid.json
|
| 53 |
+
51 / 94 /datadrive/ayush/home/minimoX/learning/experiments/learnability/train_policy_only_gold/gold_1pt/s42/2026-06-29_07-09-27/updates_1_epoch_2ep_bs64/bf_extrinsic-95_final.json
|
| 54 |
+
49 / 94 /datadrive/ayush/home/minimoX/learning/experiments/learnability/train_policy_only_gold/gold_1pt/s42/2026-06-29_07-09-27/updates_1_epoch_2ep_bs64/bf_extrinsic-95_mid.json
|
| 55 |
+
53 / 94 /datadrive/ayush/home/minimoX/learning/experiments/learnability/train_policy_only_gold/gold_1pt/s43/2026-06-29_07-09-43/updates_1_epoch_2ep_bs64/bf_extrinsic-95_final.json
|
| 56 |
+
49 / 94 /datadrive/ayush/home/minimoX/learning/experiments/learnability/train_policy_only_gold/gold_1pt/s43/2026-06-29_07-09-43/updates_1_epoch_2ep_bs64/bf_extrinsic-95_mid.json
|
| 57 |
+
51 / 94 /datadrive/ayush/home/minimoX/learning/experiments/learnability/train_policy_only_gold/gold_1pt/s44/2026-06-29_07-09-43/updates_1_epoch_2ep_bs64/bf_extrinsic-95_final.json
|
| 58 |
+
49 / 94 /datadrive/ayush/home/minimoX/learning/experiments/learnability/train_policy_only_gold/gold_1pt/s44/2026-06-29_07-09-43/updates_1_epoch_2ep_bs64/bf_extrinsic-95_mid.json
|
| 59 |
+
52 / 94 /datadrive/ayush/home/minimoX/learning/experiments/learnability/train_policy_only_gold/gold_1pt/s45/2026-06-29_07-09-43/updates_1_epoch_2ep_bs64/bf_extrinsic-95_final.json
|
| 60 |
+
49 / 94 /datadrive/ayush/home/minimoX/learning/experiments/learnability/train_policy_only_gold/gold_1pt/s45/2026-06-29_07-09-43/updates_1_epoch_2ep_bs64/bf_extrinsic-95_mid.json
|
| 61 |
+
50 / 94 /datadrive/ayush/home/minimoX/learning/experiments/learnability/train_policy_only_gold/gold_1pt/s46/2026-06-29_07-10-05/updates_1_epoch_2ep_bs64/bf_extrinsic-95_final.json
|
| 62 |
+
51 / 94 /datadrive/ayush/home/minimoX/learning/experiments/learnability/train_policy_only_gold/gold_1pt/s46/2026-06-29_07-10-05/updates_1_epoch_2ep_bs64/bf_extrinsic-95_mid.json
|
experiments/learnability/run_bestfirst_eval.sh
ADDED
|
@@ -0,0 +1,89 @@
|
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|
|
|
|
| 1 |
+
#!/bin/bash
|
| 2 |
+
# =============================================================================
|
| 3 |
+
# Best-first eval driver (value-free, no MCTS). Sibling of run_policy_only_eval.sh.
|
| 4 |
+
#
|
| 5 |
+
# Evaluates the SAME checkpoints with bestfirst_search.py (priority = cumulative
|
| 6 |
+
# log policy prob; budget = --max-pops, mirrors MCTS max_mcts_nodes=4000).
|
| 7 |
+
#
|
| 8 |
+
# eval set: base minimo_0pt (0.pt), base minimo_1pt (1.pt), and every
|
| 9 |
+
# policy-only finetuned epoch_2.pt (final) + epoch_1.pt (mid).
|
| 10 |
+
# eval: bestfirst_search.py, extrinsic-95, --max-pops 4000, --timeout 600.
|
| 11 |
+
# Action cap OFF (faithful to MCTS).
|
| 12 |
+
#
|
| 13 |
+
# Uses all 4 GPUs, one eval per GPU at a time.
|
| 14 |
+
# =============================================================================
|
| 15 |
+
set -u
|
| 16 |
+
|
| 17 |
+
LEARN=/datadrive/ayush/home/minimoX/learning
|
| 18 |
+
cd "$LEARN" || exit 1
|
| 19 |
+
|
| 20 |
+
source "$(conda info --base)/etc/profile.d/conda.sh"
|
| 21 |
+
conda activate minimo_new
|
| 22 |
+
export WANDB_MODE=offline
|
| 23 |
+
|
| 24 |
+
CKPT0=/datadrive/ayush/home/minimoX/learning/checkpoints/dnn3_bootstrap_bs_800_para/2026-03-12_23-41-21/0.pt
|
| 25 |
+
CKPT1=/datadrive/ayush/home/minimoX/learning/checkpoints/dnn3_bootstrap_bs_800_para/2026-03-12_23-41-21/1.pt
|
| 26 |
+
TRAIN_BASE=$LEARN/experiments/learnability/train_policy_only
|
| 27 |
+
BF_EVAL=$LEARN/experiments/learnability/bestfirst_eval
|
| 28 |
+
mkdir -p "$BF_EVAL"
|
| 29 |
+
|
| 30 |
+
PROBLEMSET=extrinsic-95
|
| 31 |
+
BF_MAXPOPS=4000
|
| 32 |
+
BF_WORKERS=6
|
| 33 |
+
BF_TIMEOUT=600 # per-problem wall-clock budget (s)
|
| 34 |
+
GPUS=(0 1 2 3)
|
| 35 |
+
NGPU=${#GPUS[@]}
|
| 36 |
+
|
| 37 |
+
LOG=$BF_EVAL/eval_driver.log
|
| 38 |
+
ts() { date +"%Y-%m-%d %H:%M:%S"; }
|
| 39 |
+
log() { echo "[$(ts)] $*" | tee -a "$LOG"; }
|
| 40 |
+
|
| 41 |
+
# ---- Build eval job table (parallel arrays) --------------------------------
|
| 42 |
+
E_CKPT=(); E_JSON=(); E_LOG=(); E_LABEL=()
|
| 43 |
+
add_eval() { E_CKPT+=("$1"); E_JSON+=("$2"); E_LOG+=("$3"); E_LABEL+=("$4"); }
|
| 44 |
+
|
| 45 |
+
add_eval "$CKPT0" "$BF_EVAL/minimo_0pt_base_bf_${PROBLEMSET}.json" \
|
| 46 |
+
"$BF_EVAL/minimo_0pt_base_bf_${PROBLEMSET}.log" "base/minimo_0pt"
|
| 47 |
+
add_eval "$CKPT1" "$BF_EVAL/minimo_1pt_base_bf_${PROBLEMSET}.json" \
|
| 48 |
+
"$BF_EVAL/minimo_1pt_base_bf_${PROBLEMSET}.log" "base/minimo_1pt"
|
| 49 |
+
|
| 50 |
+
for CKPT_NAME in epoch_2.pt epoch_1.pt; do
|
| 51 |
+
TAG=$([[ $CKPT_NAME == epoch_2.pt ]] && echo final || echo mid)
|
| 52 |
+
while IFS= read -r ckpt; do
|
| 53 |
+
[[ -z "$ckpt" ]] && continue
|
| 54 |
+
ckpt=$(realpath "$ckpt")
|
| 55 |
+
label=$(echo "$ckpt" | sed "s#.*train_policy_only/##; s#/updates.*##")
|
| 56 |
+
add_eval "$ckpt" \
|
| 57 |
+
"$(dirname "$ckpt")/bf_${PROBLEMSET}_${TAG}.json" \
|
| 58 |
+
"$(dirname "$ckpt")/bf_${PROBLEMSET}_${TAG}.log" \
|
| 59 |
+
"$TAG/$label"
|
| 60 |
+
done < <(find "$TRAIN_BASE" -name "$CKPT_NAME" -path "*updates_*" 2>/dev/null | sort)
|
| 61 |
+
done
|
| 62 |
+
|
| 63 |
+
NJOBS=${#E_CKPT[@]}
|
| 64 |
+
log "===== START: $NJOBS best-first evals (max_pops=${BF_MAXPOPS} timeout=${BF_TIMEOUT}s) on GPUs ${GPUS[*]} ====="
|
| 65 |
+
|
| 66 |
+
k=0
|
| 67 |
+
for ((j=0; j<NJOBS; j++)); do
|
| 68 |
+
gpu=${GPUS[$((k % NGPU))]}
|
| 69 |
+
log "EVAL [$k/$NJOBS] ${E_LABEL[$j]} -> gpu $gpu"
|
| 70 |
+
(
|
| 71 |
+
CUDA_VISIBLE_DEVICES=$gpu python -u bestfirst_search.py \
|
| 72 |
+
--agent "${E_CKPT[$j]}" \
|
| 73 |
+
--problemset "$PROBLEMSET" \
|
| 74 |
+
--max-pops "$BF_MAXPOPS" \
|
| 75 |
+
--workers "$BF_WORKERS" \
|
| 76 |
+
--timeout "$BF_TIMEOUT" \
|
| 77 |
+
--output "${E_JSON[$j]}" \
|
| 78 |
+
> "${E_LOG[$j]}" 2>&1
|
| 79 |
+
echo "[$(ts)] EVAL DONE ${E_LABEL[$j]}" >> "$LOG"
|
| 80 |
+
) &
|
| 81 |
+
k=$((k + 1))
|
| 82 |
+
if (( k % NGPU == 0 )); then wait; fi
|
| 83 |
+
done
|
| 84 |
+
wait
|
| 85 |
+
log "--- All evals complete ---"
|
| 86 |
+
|
| 87 |
+
for f in $(find "$BF_EVAL" "$TRAIN_BASE" -name "bf_${PROBLEMSET}_*.json" -o -name "minimo_*_base_bf_${PROBLEMSET}.json" 2>/dev/null | sort); do
|
| 88 |
+
python -c "import json;d=json.load(open('$f'));print(d['num_solved'],'/',d['num_problems'],'$f')" 2>/dev/null | tee -a "$LOG"
|
| 89 |
+
done
|
experiments/learnability/run_bestfirst_eval_gold.sh
ADDED
|
@@ -0,0 +1,80 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
#!/bin/bash
|
| 2 |
+
# =============================================================================
|
| 3 |
+
# Best-first eval driver for the POLICY-ONLY GOLD checkpoints.
|
| 4 |
+
# Sibling of run_bestfirst_eval.sh; evaluates only the gold finetuned models
|
| 5 |
+
# (base 0/1.pt are already covered by run_bestfirst_eval.sh).
|
| 6 |
+
#
|
| 7 |
+
# eval set: every policy-only-gold epoch_2.pt (final) + epoch_1.pt (mid)
|
| 8 |
+
# under train_policy_only_gold/.
|
| 9 |
+
# eval: bestfirst_search.py, extrinsic-95, --max-pops 4000, --timeout 600.
|
| 10 |
+
# Action cap OFF (faithful to MCTS).
|
| 11 |
+
#
|
| 12 |
+
# Uses all 4 GPUs, one eval per GPU at a time.
|
| 13 |
+
# =============================================================================
|
| 14 |
+
set -u
|
| 15 |
+
|
| 16 |
+
LEARN=/datadrive/ayush/home/minimoX/learning
|
| 17 |
+
cd "$LEARN" || exit 1
|
| 18 |
+
|
| 19 |
+
source "$(conda info --base)/etc/profile.d/conda.sh"
|
| 20 |
+
conda activate minimo_new
|
| 21 |
+
export WANDB_MODE=offline
|
| 22 |
+
|
| 23 |
+
TRAIN_BASE=$LEARN/experiments/learnability/train_policy_only_gold
|
| 24 |
+
BF_EVAL=$LEARN/experiments/learnability/bestfirst_eval_gold
|
| 25 |
+
mkdir -p "$BF_EVAL"
|
| 26 |
+
|
| 27 |
+
PROBLEMSET=extrinsic-95
|
| 28 |
+
BF_MAXPOPS=4000
|
| 29 |
+
BF_WORKERS=6
|
| 30 |
+
BF_TIMEOUT=600
|
| 31 |
+
GPUS=(0 1 2 3)
|
| 32 |
+
NGPU=${#GPUS[@]}
|
| 33 |
+
|
| 34 |
+
LOG=$BF_EVAL/eval_driver.log
|
| 35 |
+
ts() { date +"%Y-%m-%d %H:%M:%S"; }
|
| 36 |
+
log() { echo "[$(ts)] $*" | tee -a "$LOG"; }
|
| 37 |
+
|
| 38 |
+
E_CKPT=(); E_JSON=(); E_LOG=(); E_LABEL=()
|
| 39 |
+
add_eval() { E_CKPT+=("$1"); E_JSON+=("$2"); E_LOG+=("$3"); E_LABEL+=("$4"); }
|
| 40 |
+
|
| 41 |
+
for CKPT_NAME in epoch_2.pt epoch_1.pt; do
|
| 42 |
+
TAG=$([[ $CKPT_NAME == epoch_2.pt ]] && echo final || echo mid)
|
| 43 |
+
while IFS= read -r ckpt; do
|
| 44 |
+
[[ -z "$ckpt" ]] && continue
|
| 45 |
+
ckpt=$(realpath "$ckpt")
|
| 46 |
+
label=$(echo "$ckpt" | sed "s#.*train_policy_only_gold/##; s#/updates.*##")
|
| 47 |
+
add_eval "$ckpt" \
|
| 48 |
+
"$(dirname "$ckpt")/bf_${PROBLEMSET}_${TAG}.json" \
|
| 49 |
+
"$(dirname "$ckpt")/bf_${PROBLEMSET}_${TAG}.log" \
|
| 50 |
+
"$TAG/$label"
|
| 51 |
+
done < <(find "$TRAIN_BASE" -name "$CKPT_NAME" -path "*updates_*" 2>/dev/null | sort)
|
| 52 |
+
done
|
| 53 |
+
|
| 54 |
+
NJOBS=${#E_CKPT[@]}
|
| 55 |
+
log "===== START: $NJOBS gold best-first evals (max_pops=${BF_MAXPOPS} timeout=${BF_TIMEOUT}s) on GPUs ${GPUS[*]} ====="
|
| 56 |
+
|
| 57 |
+
k=0
|
| 58 |
+
for ((j=0; j<NJOBS; j++)); do
|
| 59 |
+
gpu=${GPUS[$((k % NGPU))]}
|
| 60 |
+
log "EVAL [$k/$NJOBS] ${E_LABEL[$j]} -> gpu $gpu"
|
| 61 |
+
(
|
| 62 |
+
CUDA_VISIBLE_DEVICES=$gpu python -u bestfirst_search.py \
|
| 63 |
+
--agent "${E_CKPT[$j]}" \
|
| 64 |
+
--problemset "$PROBLEMSET" \
|
| 65 |
+
--max-pops "$BF_MAXPOPS" \
|
| 66 |
+
--workers "$BF_WORKERS" \
|
| 67 |
+
--timeout "$BF_TIMEOUT" \
|
| 68 |
+
--output "${E_JSON[$j]}" \
|
| 69 |
+
> "${E_LOG[$j]}" 2>&1
|
| 70 |
+
echo "[$(ts)] EVAL DONE ${E_LABEL[$j]}" >> "$LOG"
|
| 71 |
+
) &
|
| 72 |
+
k=$((k + 1))
|
| 73 |
+
if (( k % NGPU == 0 )); then wait; fi
|
| 74 |
+
done
|
| 75 |
+
wait
|
| 76 |
+
log "--- All gold best-first evals complete ---"
|
| 77 |
+
|
| 78 |
+
for f in $(find "$TRAIN_BASE" -name "bf_${PROBLEMSET}_*.json" 2>/dev/null | sort); do
|
| 79 |
+
python -c "import json;d=json.load(open('$f'));print(d['num_solved'],'/',d['num_problems'],'$f')" 2>/dev/null | tee -a "$LOG"
|
| 80 |
+
done
|
experiments/learnability/train_policy_only/driver.log
ADDED
|
@@ -0,0 +1,26 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
[2026-06-28 05:29:53] ===== START: 10 policy-only training jobs on GPUs 2 3 =====
|
| 2 |
+
[2026-06-28 05:29:53] --- Phase 1: training (policy-only) ---
|
| 3 |
+
[2026-06-28 05:29:53] TRAIN [0/10] minimo_0pt/s42 (seed=42) -> gpu 2
|
| 4 |
+
[2026-06-28 05:29:53] TRAIN [1/10] minimo_0pt/s43 (seed=43) -> gpu 3
|
| 5 |
+
[2026-06-28 05:30:10] TRAIN DONE minimo_0pt/s43
|
| 6 |
+
[2026-06-28 05:30:11] TRAIN DONE minimo_0pt/s42
|
| 7 |
+
[2026-06-28 05:30:11] TRAIN [2/10] minimo_0pt/s44 (seed=44) -> gpu 2
|
| 8 |
+
[2026-06-28 05:30:11] TRAIN [3/10] minimo_0pt/s45 (seed=45) -> gpu 3
|
| 9 |
+
[2026-06-28 05:30:28] TRAIN DONE minimo_0pt/s44
|
| 10 |
+
[2026-06-28 05:30:29] TRAIN DONE minimo_0pt/s45
|
| 11 |
+
[2026-06-28 05:30:29] TRAIN [4/10] minimo_0pt/s46 (seed=46) -> gpu 2
|
| 12 |
+
[2026-06-28 05:30:29] TRAIN [5/10] minimo_1pt/s42 (seed=42) -> gpu 3
|
| 13 |
+
[2026-06-28 05:30:48] TRAIN DONE minimo_0pt/s46
|
| 14 |
+
[2026-06-28 05:30:48] TRAIN DONE minimo_1pt/s42
|
| 15 |
+
[2026-06-28 05:30:48] TRAIN [6/10] minimo_1pt/s43 (seed=43) -> gpu 2
|
| 16 |
+
[2026-06-28 05:30:48] TRAIN [7/10] minimo_1pt/s44 (seed=44) -> gpu 3
|
| 17 |
+
[2026-06-28 05:31:08] TRAIN DONE minimo_1pt/s44
|
| 18 |
+
[2026-06-28 05:31:08] TRAIN DONE minimo_1pt/s43
|
| 19 |
+
[2026-06-28 05:31:08] TRAIN [8/10] minimo_1pt/s45 (seed=45) -> gpu 2
|
| 20 |
+
[2026-06-28 05:31:08] TRAIN [9/10] minimo_1pt/s46 (seed=46) -> gpu 3
|
| 21 |
+
[2026-06-28 05:31:27] TRAIN DONE minimo_1pt/s45
|
| 22 |
+
[2026-06-28 05:31:27] TRAIN DONE minimo_1pt/s46
|
| 23 |
+
[2026-06-28 05:31:28] --- Phase 1 complete ---
|
| 24 |
+
[2026-06-28 05:31:28] --- Eval phase (final, epoch_2.pt, value-free rollout) ---
|
| 25 |
+
[2026-06-28 05:31:28] EVAL-final [0] minimo_0pt/s42 (epoch_2.pt) -> gpu 2
|
| 26 |
+
[2026-06-28 05:31:28] EVAL-final [1] minimo_0pt/s43 (epoch_2.pt) -> gpu 3
|
experiments/learnability/train_policy_only/minimo_0pt/s42/2026-06-28_05-29-55/summary.json
ADDED
|
@@ -0,0 +1,18 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
{
|
| 2 |
+
"checkpoint": "/datadrive/ayush/home/minimoX/learning/outputs/bootstrap_bs_800_para/2026-03-12_23-41-21/0.pt",
|
| 3 |
+
"examples": "/datadrive/ayush/home/minimoX/learning/experiments/learnability/minimo_0pt/examples_policy_only.json",
|
| 4 |
+
"configs": [
|
| 5 |
+
{
|
| 6 |
+
"mode": "epoch",
|
| 7 |
+
"batch_size": 64,
|
| 8 |
+
"n_epochs": 2,
|
| 9 |
+
"save_every": 1
|
| 10 |
+
}
|
| 11 |
+
],
|
| 12 |
+
"results": {
|
| 13 |
+
"updates_0_epoch_2ep_bs64": {
|
| 14 |
+
"path": "/datadrive/ayush/home/minimoX/learning/experiments/learnability/train_policy_only/minimo_0pt/s42/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64/1.pt",
|
| 15 |
+
"total_gradient_steps": 50
|
| 16 |
+
}
|
| 17 |
+
}
|
| 18 |
+
}
|
experiments/learnability/train_policy_only/minimo_0pt/s42/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64/1.pt
ADDED
|
@@ -0,0 +1,3 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
version https://git-lfs.github.com/spec/v1
|
| 2 |
+
oid sha256:af843825cafed59cbb9825a289204059fea59da30c218c2ffe841cda240fa257
|
| 3 |
+
size 318254491
|
experiments/learnability/train_policy_only/minimo_0pt/s42/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64/ablation_config.json
ADDED
|
@@ -0,0 +1,8 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
{
|
| 2 |
+
"mode": "epoch",
|
| 3 |
+
"batch_size": 64,
|
| 4 |
+
"n_epochs": 2,
|
| 5 |
+
"save_every": 1,
|
| 6 |
+
"checkpoint": "/datadrive/ayush/home/minimoX/learning/outputs/bootstrap_bs_800_para/2026-03-12_23-41-21/0.pt",
|
| 7 |
+
"examples": "/datadrive/ayush/home/minimoX/learning/experiments/learnability/minimo_0pt/examples_policy_only.json"
|
| 8 |
+
}
|
experiments/learnability/train_policy_only/minimo_0pt/s42/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64/bf_extrinsic-95_final.json
ADDED
|
@@ -0,0 +1,1057 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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| 1 |
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{
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| 2 |
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"agent_path": "/datadrive/ayush/home/minimoX/learning/experiments/learnability/train_policy_only/minimo_0pt/s42/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64/epoch_2.pt",
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"problemset": "extrinsic-95",
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experiments/learnability/train_policy_only/minimo_0pt/s42/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64/bf_extrinsic-95_final.log
ADDED
|
@@ -0,0 +1,755 @@
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|
| 1 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 2 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 3 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 4 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 5 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 6 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 7 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 8 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 9 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 10 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 11 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 12 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 13 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 14 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 15 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 16 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 17 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 18 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 19 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 20 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 21 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 22 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 23 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 24 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 25 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 26 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 27 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 28 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 29 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 30 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 31 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 32 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 33 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 34 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 35 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 36 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 37 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 38 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 39 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 40 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 41 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 42 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 43 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 44 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 45 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 46 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 47 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 48 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 49 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 50 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 51 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 52 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 53 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 54 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 55 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 56 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 57 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 58 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 59 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 60 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 61 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 62 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 63 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 64 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 65 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 66 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 67 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 68 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 69 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 70 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 71 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 72 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 73 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 74 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 75 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 76 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 77 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 78 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 79 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 80 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 81 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 82 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 83 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 84 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 85 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 86 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 87 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 88 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 89 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 90 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 91 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 92 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 93 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 94 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 95 |
+
[OK ] extrinsic_L0_1 (solved pops=5 evals=25 maxopen=19)
|
| 96 |
+
[OK ] extrinsic_L0_2 (solved pops=55 evals=352 maxopen=298)
|
| 97 |
+
[OK ] extrinsic_L0_5 (solved pops=56 evals=368 maxopen=313)
|
| 98 |
+
[OK ] extrinsic_L0_3 (solved pops=61 evals=368 maxopen=308)
|
| 99 |
+
[OK ] extrinsic_L0_6 (solved pops=57 evals=353 maxopen=297)
|
| 100 |
+
[OK ] extrinsic_L0_10 (solved pops=7 evals=41 maxopen=35)
|
| 101 |
+
[OK ] extrinsic_L0_7 (solved pops=55 evals=353 maxopen=299)
|
| 102 |
+
[OK ] extrinsic_L0_12 (solved pops=16 evals=89 maxopen=57)
|
| 103 |
+
[OK ] extrinsic_L0_13 (solved pops=20 evals=152 maxopen=133)
|
| 104 |
+
[OK ] extrinsic_L0_8 (solved pops=57 evals=358 maxopen=302)
|
| 105 |
+
[OK ] extrinsic_L0_9 (solved pops=50 evals=327 maxopen=278)
|
| 106 |
+
[OK ] extrinsic_L0_4 (solved pops=210 evals=1122 maxopen=913)
|
| 107 |
+
[OK ] extrinsic_L1_4 (solved pops=15 evals=100 maxopen=84)
|
| 108 |
+
[OK ] extrinsic_L0_11 (solved pops=210 evals=1128 maxopen=919)
|
| 109 |
+
[OK ] extrinsic_L1_1 (solved pops=220 evals=1197 maxopen=978)
|
| 110 |
+
[OK ] extrinsic_L1_2 (solved pops=453 evals=2391 maxopen=1939)
|
| 111 |
+
[OK ] extrinsic_L1_3 (solved pops=453 evals=2388 maxopen=1936)
|
| 112 |
+
[OK ] extrinsic_L2_1 (solved pops=1258 evals=6879 maxopen=5622)
|
| 113 |
+
[OK ] extrinsic_L2_6 (solved pops=1632 evals=9480 maxopen=7849)
|
| 114 |
+
[OK ] extrinsic_L2_7 (solved pops=1018 evals=5729 maxopen=4712)
|
| 115 |
+
[ ] extrinsic_L2_2 (budget pops=4000 evals=25975 maxopen=21976)
|
| 116 |
+
[OK ] extrinsic_L0_14 (solved pops=3961 evals=25978 maxopen=22018)
|
| 117 |
+
[ ] extrinsic_L2_3 (budget pops=4000 evals=25929 maxopen=21930)
|
| 118 |
+
[OK ] extrinsic_L2_11 (solved pops=22 evals=145 maxopen=122)
|
| 119 |
+
[ ] extrinsic_L2_4 (budget pops=4000 evals=25924 maxopen=21925)
|
| 120 |
+
[ ] extrinsic_L2_5 (budget pops=4000 evals=25762 maxopen=21763)
|
| 121 |
+
[OK ] extrinsic_L2_9 (solved pops=982 evals=5486 maxopen=4505)
|
| 122 |
+
[OK ] extrinsic_L2_12 (solved pops=1372 evals=7859 maxopen=6488)
|
| 123 |
+
[ ] extrinsic_L2_8 (budget pops=4000 evals=25957 maxopen=21958)
|
| 124 |
+
[ ] extrinsic_L2_10 (budget pops=4000 evals=26423 maxopen=22424)
|
| 125 |
+
[ ] extrinsic_L2_13 (budget pops=4000 evals=25801 maxopen=21802)
|
| 126 |
+
[ ] extrinsic_L3_1 (budget pops=4000 evals=25943 maxopen=21944)
|
| 127 |
+
[ ] extrinsic_L3_2 (budget pops=4000 evals=25834 maxopen=21835)
|
| 128 |
+
[ ] extrinsic_L3_3 (budget pops=4000 evals=25838 maxopen=21839)
|
| 129 |
+
[ ] extrinsic_L3_4 (budget pops=4000 evals=26051 maxopen=22052)
|
| 130 |
+
[ ] extrinsic_L3_5 (budget pops=4000 evals=26026 maxopen=22027)
|
| 131 |
+
[ ] extrinsic_L3_6 (budget pops=4000 evals=25763 maxopen=21764)
|
| 132 |
+
[ ] extrinsic_L3_7 (budget pops=4000 evals=25865 maxopen=21866)
|
| 133 |
+
[ ] extrinsic_L3_8 (budget pops=4000 evals=26009 maxopen=22010)
|
| 134 |
+
[ ] extrinsic_L3_9 (budget pops=4000 evals=26172 maxopen=22173)
|
| 135 |
+
[ ] extrinsic_L3_10 (budget pops=4000 evals=25980 maxopen=21981)
|
| 136 |
+
[ ] extrinsic_L3_11 (budget pops=4000 evals=26132 maxopen=22133)
|
| 137 |
+
[OK ] extrinsic_L3_14 (solved pops=3258 evals=19954 maxopen=16697)
|
| 138 |
+
[OK ] extrinsic_L3_13 (solved pops=3540 evals=22824 maxopen=19285)
|
| 139 |
+
[ ] extrinsic_L3_12 (budget pops=4000 evals=26150 maxopen=22151)
|
| 140 |
+
[ ] extrinsic_L3_15 (budget pops=4000 evals=26074 maxopen=22075)
|
| 141 |
+
[ ] extrinsic_L3_16 (budget pops=4000 evals=26067 maxopen=22068)
|
| 142 |
+
[ ] extrinsic_L3_17 (budget pops=4000 evals=25715 maxopen=21716)
|
| 143 |
+
[ ] extrinsic_L3_18 (budget pops=4000 evals=25421 maxopen=21422)
|
| 144 |
+
[ ] extrinsic_L3_19 (budget pops=4000 evals=26015 maxopen=22016)
|
| 145 |
+
[ ] extrinsic_L3_20 (budget pops=4000 evals=26112 maxopen=22113)
|
| 146 |
+
[ ] extrinsic_L3_21 (budget pops=4000 evals=26108 maxopen=22109)
|
| 147 |
+
[ ] extrinsic_L3_22 (budget pops=4000 evals=25824 maxopen=21825)
|
| 148 |
+
[ ] extrinsic_L3_23 (budget pops=4000 evals=26312 maxopen=22313)
|
| 149 |
+
[ ] extrinsic_L3_24 (budget pops=4000 evals=26026 maxopen=22027)
|
| 150 |
+
[ ] extrinsic_L3_25 (budget pops=4000 evals=26895 maxopen=22896)
|
| 151 |
+
[ ] extrinsic_L3_26 (budget pops=4000 evals=25928 maxopen=21929)
|
| 152 |
+
[ ] extrinsic_L3_27 (budget pops=4000 evals=26273 maxopen=22274)
|
| 153 |
+
[ ] extrinsic_L3_28 (budget pops=4000 evals=25782 maxopen=21783)
|
| 154 |
+
[ ] extrinsic_L4_1 (budget pops=4000 evals=25492 maxopen=21493)
|
| 155 |
+
[ ] extrinsic_L3_29 (budget pops=4000 evals=26809 maxopen=22810)
|
| 156 |
+
[ ] extrinsic_L4_3 (budget pops=4000 evals=26063 maxopen=22064)
|
| 157 |
+
[ ] extrinsic_L4_2 (budget pops=4000 evals=25825 maxopen=21826)
|
| 158 |
+
[ ] extrinsic_L4_4 (budget pops=4000 evals=25916 maxopen=21917)
|
| 159 |
+
[ ] extrinsic_L4_5 (budget pops=4000 evals=26129 maxopen=22130)
|
| 160 |
+
[ ] extrinsic_L4_6 (budget pops=4000 evals=25949 maxopen=21950)
|
| 161 |
+
[ ] extrinsic_L4_7 (budget pops=4000 evals=26691 maxopen=22692)
|
| 162 |
+
[ ] extrinsic_L4_9 (budget pops=4000 evals=26648 maxopen=22649)
|
| 163 |
+
[ ] extrinsic_L4_8 (budget pops=4000 evals=26170 maxopen=22171)
|
| 164 |
+
[OK ] extrinsic_L4_12 (solved pops=1359 evals=7543 maxopen=6182)
|
| 165 |
+
[ ] extrinsic_L4_10 (budget pops=4000 evals=25514 maxopen=21515)
|
| 166 |
+
[ ] extrinsic_L4_11 (budget pops=4000 evals=26263 maxopen=22264)
|
| 167 |
+
[ ] extrinsic_L4_13 (budget pops=4000 evals=26113 maxopen=22114)
|
| 168 |
+
[ ] extrinsic_L4_14 (budget pops=4000 evals=26299 maxopen=22300)
|
| 169 |
+
[ ] extrinsic_L5_1 (budget pops=4000 evals=25763 maxopen=21764)
|
| 170 |
+
[ ] extrinsic_L5_2 (budget pops=4000 evals=26236 maxopen=22237)
|
| 171 |
+
[ ] extrinsic_L5_3 (budget pops=4000 evals=26293 maxopen=22294)
|
| 172 |
+
[ ] extrinsic_L5_4 (budget pops=4000 evals=25736 maxopen=21737)
|
| 173 |
+
[ ] extrinsic_L5_5 (budget pops=4000 evals=26570 maxopen=22571)
|
| 174 |
+
[ ] extrinsic_L5_6 (budget pops=4000 evals=26095 maxopen=22096)
|
| 175 |
+
[ ] extrinsic_L5_7 (budget pops=4000 evals=26521 maxopen=22522)
|
| 176 |
+
[ ] extrinsic_L5_8 (budget pops=4000 evals=26315 maxopen=22316)
|
| 177 |
+
[ ] extrinsic_L5_9 (budget pops=4000 evals=26292 maxopen=22293)
|
| 178 |
+
[ ] extrinsic_L5_10 (budget pops=4000 evals=26492 maxopen=22493)
|
| 179 |
+
[ ] extrinsic_L6_1 (budget pops=4000 evals=26085 maxopen=22086)
|
| 180 |
+
[ ] extrinsic_L5_11 (budget pops=4000 evals=31467 maxopen=27468)
|
| 181 |
+
[ ] extrinsic_L6_2 (budget pops=4000 evals=31314 maxopen=27315)
|
| 182 |
+
[ ] extrinsic_L6_3 (budget pops=4000 evals=31270 maxopen=27271)
|
| 183 |
+
[ ] extrinsic_L6_4 (budget pops=4000 evals=31101 maxopen=27102)
|
| 184 |
+
[ ] extrinsic_L6_5 (budget pops=4000 evals=31006 maxopen=27007)
|
| 185 |
+
[ ] extrinsic_L6_6 (budget pops=4000 evals=25933 maxopen=21934)
|
| 186 |
+
[ ] extrinsic_L6_7 (budget pops=4000 evals=26066 maxopen=22067)
|
| 187 |
+
[ ] extrinsic_L6_8 (budget pops=4000 evals=31380 maxopen=27381)
|
| 188 |
+
[ ] extrinsic_L6_9 (budget pops=4000 evals=31159 maxopen=27160)
|
| 189 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 190 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 191 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 192 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 193 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 194 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 195 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 196 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 197 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 198 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 199 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 200 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 201 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 202 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 203 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 204 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 205 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 206 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 207 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 208 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 209 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 210 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 211 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 212 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 213 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 214 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 215 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 216 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 217 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 218 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 219 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 220 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 221 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 222 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 223 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 224 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 225 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 226 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 227 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 228 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 229 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 230 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 231 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 232 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 233 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 234 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 235 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 236 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 237 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 238 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 239 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 240 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 241 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 242 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 243 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 244 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 245 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 246 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 247 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 248 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 249 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 250 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 251 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 252 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 253 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 254 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 255 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 256 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 257 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 258 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 259 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 260 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 261 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 262 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 263 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 264 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 265 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 266 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 267 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 268 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 269 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 270 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 271 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 272 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 273 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 274 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 275 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 276 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 277 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 278 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 279 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 280 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 281 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 282 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 283 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 284 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 285 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 286 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 287 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 288 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 289 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 290 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 291 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 292 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 293 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 294 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 295 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 296 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 297 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 298 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 299 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 300 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 301 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 302 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 303 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 304 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 305 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 306 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 307 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 308 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 309 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 310 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 311 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 312 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 313 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 314 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 315 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 316 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 317 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 318 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 319 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 320 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 321 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 322 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 323 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 324 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 325 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 326 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 327 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 328 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 329 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 330 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 331 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 332 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 333 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 334 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 335 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 336 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 337 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 338 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 339 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 340 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 341 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 342 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 343 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 344 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 345 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 346 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 347 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 348 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 349 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 350 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 351 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 352 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 353 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 354 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 355 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 356 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 357 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 358 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 359 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 360 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 361 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 362 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 363 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 364 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 365 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 366 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 367 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 368 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 369 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 370 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 371 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 372 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 373 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 374 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 375 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 376 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 377 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 378 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 379 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 380 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 381 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 382 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 383 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 384 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 385 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 386 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 387 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 388 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 389 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 390 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 391 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 392 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 393 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 394 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 395 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 396 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 397 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 398 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 399 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 400 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 401 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 402 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 403 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 404 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 405 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 406 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 407 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 408 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 409 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 410 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 411 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 412 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 413 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 414 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 415 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 416 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 417 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 418 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 419 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 420 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 421 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 422 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 423 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 424 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 425 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 426 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 427 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 428 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 429 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 430 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 431 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 432 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 433 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 434 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 435 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 436 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 437 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 438 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 439 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 440 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 441 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 442 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 443 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 444 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 445 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 446 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 447 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 448 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 449 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 450 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 451 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 452 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 453 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 454 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 455 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 456 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 457 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 458 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 459 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 460 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 461 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 462 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 463 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 464 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 465 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 466 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 467 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 468 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 469 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 470 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 471 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 472 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 473 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 474 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 475 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 476 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 477 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 478 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 479 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 480 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 481 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 482 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 483 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 484 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 485 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 486 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 487 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 488 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 489 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 490 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 491 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 492 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 493 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 494 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 495 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 496 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 497 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 498 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 499 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 500 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 501 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 502 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 503 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 504 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 505 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 506 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 507 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 508 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 509 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 510 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 511 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 512 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 513 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 514 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 515 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 516 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 517 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 518 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 519 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 520 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 521 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 522 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 523 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 524 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 525 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 526 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 527 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 528 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 529 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 530 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 531 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 532 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 533 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 534 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 535 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 536 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 537 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 538 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 539 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 540 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 541 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 542 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 543 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 544 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 545 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 546 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 547 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 548 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 549 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 550 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 551 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 552 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 553 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 554 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 555 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 556 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 557 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 558 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 559 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 560 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 561 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 562 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 563 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 564 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 565 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 566 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 567 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 568 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 569 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 570 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 571 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 572 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 573 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 574 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 575 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 576 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 577 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 578 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 579 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 580 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 581 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 582 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 583 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 584 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 585 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 586 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 587 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 588 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 589 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 590 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 591 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 592 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 593 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 594 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 595 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 596 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 597 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 598 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 599 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 600 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 601 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 602 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 603 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 604 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 605 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 606 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 607 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 608 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 609 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 610 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 611 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 612 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 613 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 614 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 615 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 616 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 617 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 618 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 619 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 620 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 621 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 622 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 623 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 624 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 625 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 626 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 627 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 628 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 629 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 630 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 631 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 632 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 633 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 634 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 635 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 636 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 637 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 638 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 639 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 640 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 641 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 642 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 643 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 644 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 645 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 646 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 647 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 648 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 649 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 650 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 651 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 652 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 653 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 654 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 655 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 656 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 657 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 658 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 659 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 660 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 661 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 662 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 663 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 664 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 665 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 666 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 667 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 668 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 669 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 670 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 671 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 672 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 673 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 674 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 675 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 676 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 677 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 678 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 679 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 680 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 681 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 682 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 683 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 684 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 685 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 686 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 687 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 688 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 689 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 690 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 691 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 692 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 693 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 694 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 695 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 696 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 697 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 698 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 699 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 700 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 701 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 702 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 703 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 704 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 705 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 706 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 707 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 708 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 709 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 710 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 711 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 712 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 713 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 714 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 715 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 716 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 717 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 718 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 719 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 720 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 721 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 722 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 723 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 724 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 725 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 726 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 727 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 728 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 729 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 730 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 731 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 732 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 733 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 734 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 735 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 736 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 737 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 738 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 739 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 740 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 741 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 742 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 743 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 744 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 745 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 746 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 747 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 748 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 749 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 750 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 751 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 752 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 753 |
+
|
| 754 |
+
Wrote /datadrive/ayush/home/minimoX/learning/experiments/learnability/train_policy_only/minimo_0pt/s42/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64/bf_extrinsic-95_final.json
|
| 755 |
+
Solved 27/94 in 2736.7s
|
experiments/learnability/train_policy_only/minimo_0pt/s42/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64/bf_extrinsic-95_mid.json
ADDED
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experiments/learnability/train_policy_only/minimo_0pt/s42/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64/bf_extrinsic-95_mid.log
ADDED
|
@@ -0,0 +1,755 @@
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|
| 1 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 2 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 3 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 4 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 5 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 6 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 7 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 8 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 9 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 10 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 11 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 12 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 13 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 14 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 15 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 16 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 17 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 18 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 19 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 20 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 21 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 22 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 23 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 24 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 25 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 26 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 27 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 28 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 29 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 30 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 31 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 32 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 33 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 34 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 35 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 36 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 37 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 38 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 39 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 40 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 41 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 42 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 43 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 44 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 45 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 46 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 47 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 48 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 49 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 50 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 51 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 52 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 53 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 54 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 55 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 56 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 57 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 58 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 59 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 60 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 61 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 62 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 63 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 64 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 65 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 66 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 67 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 68 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 69 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 70 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 71 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 72 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 73 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 74 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 75 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 76 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 77 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 78 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 79 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 80 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 81 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 82 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 83 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 84 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 85 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 86 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 87 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 88 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 89 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 90 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 91 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 92 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 93 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 94 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 95 |
+
[OK ] extrinsic_L0_1 (solved pops=3 evals=21 maxopen=17)
|
| 96 |
+
[OK ] extrinsic_L0_2 (solved pops=55 evals=352 maxopen=298)
|
| 97 |
+
[OK ] extrinsic_L0_3 (solved pops=79 evals=452 maxopen=374)
|
| 98 |
+
[OK ] extrinsic_L0_5 (solved pops=51 evals=317 maxopen=267)
|
| 99 |
+
[OK ] extrinsic_L0_10 (solved pops=8 evals=56 maxopen=49)
|
| 100 |
+
[OK ] extrinsic_L0_6 (solved pops=51 evals=316 maxopen=266)
|
| 101 |
+
[OK ] extrinsic_L0_9 (solved pops=49 evals=328 maxopen=264)
|
| 102 |
+
[OK ] extrinsic_L0_7 (solved pops=55 evals=354 maxopen=300)
|
| 103 |
+
[OK ] extrinsic_L0_12 (solved pops=16 evals=89 maxopen=57)
|
| 104 |
+
[OK ] extrinsic_L0_8 (solved pops=53 evals=349 maxopen=297)
|
| 105 |
+
[OK ] extrinsic_L0_13 (solved pops=21 evals=167 maxopen=147)
|
| 106 |
+
[OK ] extrinsic_L0_4 (solved pops=223 evals=1221 maxopen=999)
|
| 107 |
+
[OK ] extrinsic_L1_4 (solved pops=15 evals=101 maxopen=85)
|
| 108 |
+
[OK ] extrinsic_L0_11 (solved pops=224 evals=1214 maxopen=991)
|
| 109 |
+
[OK ] extrinsic_L1_1 (solved pops=214 evals=1175 maxopen=944)
|
| 110 |
+
[OK ] extrinsic_L1_2 (solved pops=505 evals=2731 maxopen=2227)
|
| 111 |
+
[OK ] extrinsic_L1_3 (solved pops=505 evals=2728 maxopen=2224)
|
| 112 |
+
[OK ] extrinsic_L2_1 (solved pops=1263 evals=7083 maxopen=5821)
|
| 113 |
+
[OK ] extrinsic_L2_6 (solved pops=1678 evals=9802 maxopen=8125)
|
| 114 |
+
[OK ] extrinsic_L2_7 (solved pops=1003 evals=5742 maxopen=4740)
|
| 115 |
+
[OK ] extrinsic_L0_14 (solved pops=3830 evals=25318 maxopen=21489)
|
| 116 |
+
[ ] extrinsic_L2_2 (budget pops=4000 evals=25996 maxopen=21997)
|
| 117 |
+
[ ] extrinsic_L2_3 (budget pops=4000 evals=25896 maxopen=21897)
|
| 118 |
+
[OK ] extrinsic_L2_11 (solved pops=24 evals=177 maxopen=152)
|
| 119 |
+
[ ] extrinsic_L2_4 (budget pops=4000 evals=25891 maxopen=21892)
|
| 120 |
+
[ ] extrinsic_L2_5 (budget pops=4000 evals=25724 maxopen=21725)
|
| 121 |
+
[OK ] extrinsic_L2_9 (solved pops=971 evals=5490 maxopen=4520)
|
| 122 |
+
[OK ] extrinsic_L2_12 (solved pops=1247 evals=6885 maxopen=5639)
|
| 123 |
+
[ ] extrinsic_L2_8 (budget pops=4000 evals=26332 maxopen=22333)
|
| 124 |
+
[ ] extrinsic_L2_10 (budget pops=4000 evals=26314 maxopen=22315)
|
| 125 |
+
[ ] extrinsic_L2_13 (budget pops=4000 evals=25647 maxopen=21648)
|
| 126 |
+
[ ] extrinsic_L3_1 (budget pops=4000 evals=25894 maxopen=21895)
|
| 127 |
+
[ ] extrinsic_L3_2 (budget pops=4000 evals=25646 maxopen=21647)
|
| 128 |
+
[ ] extrinsic_L3_3 (budget pops=4000 evals=25681 maxopen=21682)
|
| 129 |
+
[ ] extrinsic_L3_4 (budget pops=4000 evals=25846 maxopen=21847)
|
| 130 |
+
[ ] extrinsic_L3_5 (budget pops=4000 evals=25853 maxopen=21854)
|
| 131 |
+
[ ] extrinsic_L3_6 (budget pops=4000 evals=25712 maxopen=21713)
|
| 132 |
+
[ ] extrinsic_L3_8 (budget pops=4000 evals=26043 maxopen=22044)
|
| 133 |
+
[ ] extrinsic_L3_7 (budget pops=4000 evals=25835 maxopen=21836)
|
| 134 |
+
[ ] extrinsic_L3_9 (budget pops=4000 evals=26079 maxopen=22080)
|
| 135 |
+
[ ] extrinsic_L3_10 (budget pops=4000 evals=26043 maxopen=22044)
|
| 136 |
+
[ ] extrinsic_L3_11 (budget pops=4000 evals=25936 maxopen=21937)
|
| 137 |
+
[OK ] extrinsic_L3_14 (solved pops=3165 evals=19528 maxopen=16364)
|
| 138 |
+
[ ] extrinsic_L3_12 (budget pops=4000 evals=25922 maxopen=21923)
|
| 139 |
+
[OK ] extrinsic_L3_13 (solved pops=3648 evals=23484 maxopen=19837)
|
| 140 |
+
[ ] extrinsic_L3_15 (budget pops=4000 evals=25968 maxopen=21969)
|
| 141 |
+
[ ] extrinsic_L3_16 (budget pops=4000 evals=25945 maxopen=21946)
|
| 142 |
+
[ ] extrinsic_L3_17 (budget pops=4000 evals=25674 maxopen=21675)
|
| 143 |
+
[ ] extrinsic_L3_18 (budget pops=4000 evals=25094 maxopen=21095)
|
| 144 |
+
[ ] extrinsic_L3_20 (budget pops=4000 evals=25985 maxopen=21986)
|
| 145 |
+
[ ] extrinsic_L3_19 (budget pops=4000 evals=25871 maxopen=21872)
|
| 146 |
+
[ ] extrinsic_L3_21 (budget pops=4000 evals=26016 maxopen=22017)
|
| 147 |
+
[ ] extrinsic_L3_22 (budget pops=4000 evals=25824 maxopen=21825)
|
| 148 |
+
[ ] extrinsic_L3_23 (budget pops=4000 evals=26115 maxopen=22116)
|
| 149 |
+
[ ] extrinsic_L3_24 (budget pops=4000 evals=26224 maxopen=22225)
|
| 150 |
+
[ ] extrinsic_L3_25 (budget pops=4000 evals=27031 maxopen=23032)
|
| 151 |
+
[ ] extrinsic_L3_26 (budget pops=4000 evals=26110 maxopen=22111)
|
| 152 |
+
[ ] extrinsic_L3_27 (budget pops=4000 evals=26197 maxopen=22198)
|
| 153 |
+
[ ] extrinsic_L3_28 (budget pops=4000 evals=25838 maxopen=21839)
|
| 154 |
+
[ ] extrinsic_L3_29 (budget pops=4000 evals=26689 maxopen=22690)
|
| 155 |
+
[ ] extrinsic_L4_1 (budget pops=4000 evals=26020 maxopen=22021)
|
| 156 |
+
[ ] extrinsic_L4_3 (budget pops=4000 evals=25859 maxopen=21860)
|
| 157 |
+
[ ] extrinsic_L4_2 (budget pops=4000 evals=26972 maxopen=22973)
|
| 158 |
+
[ ] extrinsic_L4_4 (budget pops=4000 evals=25794 maxopen=21795)
|
| 159 |
+
[ ] extrinsic_L4_5 (budget pops=4000 evals=26119 maxopen=22120)
|
| 160 |
+
[ ] extrinsic_L4_6 (budget pops=4000 evals=25770 maxopen=21771)
|
| 161 |
+
[ ] extrinsic_L4_7 (budget pops=4000 evals=26812 maxopen=22813)
|
| 162 |
+
[ ] extrinsic_L4_9 (budget pops=4000 evals=26349 maxopen=22350)
|
| 163 |
+
[ ] extrinsic_L4_8 (budget pops=4000 evals=26020 maxopen=22021)
|
| 164 |
+
[ ] extrinsic_L4_10 (budget pops=4000 evals=25854 maxopen=21855)
|
| 165 |
+
[OK ] extrinsic_L4_12 (solved pops=1318 evals=7592 maxopen=6272)
|
| 166 |
+
[ ] extrinsic_L4_11 (budget pops=4000 evals=26238 maxopen=22239)
|
| 167 |
+
[ ] extrinsic_L4_13 (budget pops=4000 evals=25882 maxopen=21883)
|
| 168 |
+
[ ] extrinsic_L4_14 (budget pops=4000 evals=26340 maxopen=22341)
|
| 169 |
+
[ ] extrinsic_L5_1 (budget pops=4000 evals=25473 maxopen=21474)
|
| 170 |
+
[ ] extrinsic_L5_2 (budget pops=4000 evals=26131 maxopen=22132)
|
| 171 |
+
[ ] extrinsic_L5_3 (budget pops=4000 evals=26205 maxopen=22206)
|
| 172 |
+
[ ] extrinsic_L5_4 (budget pops=4000 evals=25443 maxopen=21444)
|
| 173 |
+
[ ] extrinsic_L5_5 (budget pops=4000 evals=26459 maxopen=22460)
|
| 174 |
+
[ ] extrinsic_L5_6 (budget pops=4000 evals=26130 maxopen=22131)
|
| 175 |
+
[ ] extrinsic_L5_7 (budget pops=4000 evals=26402 maxopen=22403)
|
| 176 |
+
[ ] extrinsic_L5_8 (budget pops=4000 evals=26271 maxopen=22272)
|
| 177 |
+
[ ] extrinsic_L5_9 (budget pops=4000 evals=26532 maxopen=22533)
|
| 178 |
+
[ ] extrinsic_L5_10 (budget pops=4000 evals=26596 maxopen=22597)
|
| 179 |
+
[ ] extrinsic_L6_1 (budget pops=4000 evals=25735 maxopen=21736)
|
| 180 |
+
[ ] extrinsic_L5_11 (budget pops=4000 evals=31081 maxopen=27082)
|
| 181 |
+
[ ] extrinsic_L6_3 (budget pops=4000 evals=31181 maxopen=27182)
|
| 182 |
+
[ ] extrinsic_L6_2 (budget pops=4000 evals=31216 maxopen=27217)
|
| 183 |
+
[ ] extrinsic_L6_4 (budget pops=4000 evals=30910 maxopen=26911)
|
| 184 |
+
[ ] extrinsic_L6_5 (budget pops=4000 evals=30805 maxopen=26806)
|
| 185 |
+
[ ] extrinsic_L6_6 (budget pops=4000 evals=25755 maxopen=21756)
|
| 186 |
+
[ ] extrinsic_L6_7 (budget pops=4000 evals=25697 maxopen=21698)
|
| 187 |
+
[ ] extrinsic_L6_9 (budget pops=4000 evals=30989 maxopen=26990)
|
| 188 |
+
[ ] extrinsic_L6_8 (budget pops=4000 evals=31211 maxopen=27212)
|
| 189 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 190 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 191 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 192 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 193 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 194 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 195 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 196 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 197 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 198 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 199 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 200 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 201 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 202 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 203 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 204 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 205 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 206 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 207 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 208 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 209 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 210 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 211 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 212 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 213 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 214 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 215 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 216 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 217 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 218 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 219 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 220 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 221 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 222 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 223 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 224 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 225 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 226 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 227 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 228 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 229 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 230 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 231 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 232 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 233 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 234 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 235 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 236 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 237 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 238 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 239 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 240 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 241 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 242 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 243 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 244 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 245 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 246 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 247 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 248 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 249 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 250 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 251 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 252 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 253 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 254 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 255 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 256 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 257 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 258 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 259 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 260 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 261 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 262 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 263 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 264 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 265 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 266 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 267 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 268 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 269 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 270 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 271 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 272 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 273 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 274 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 275 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 276 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 277 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 278 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 279 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 280 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 281 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 282 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 283 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 284 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 285 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 286 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 287 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 288 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 289 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 290 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 291 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 292 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 293 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 294 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 295 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 296 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 297 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 298 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 299 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 300 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 301 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 302 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 303 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 304 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 305 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 306 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 307 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 308 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 309 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 310 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 311 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 312 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 313 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 314 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 315 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 316 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 317 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 318 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 319 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 320 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 321 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 322 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 323 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 324 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 325 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 326 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 327 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 328 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 329 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 330 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 331 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 332 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 333 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 334 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 335 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 336 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 337 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 338 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 339 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 340 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 341 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 342 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 343 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 344 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 345 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 346 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 347 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 348 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 349 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 350 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 351 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 352 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 353 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 354 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 355 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 356 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 357 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 358 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 359 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 360 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 361 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 362 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 363 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 364 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 365 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 366 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 367 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 368 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 369 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 370 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 371 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 372 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 373 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 374 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 375 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 376 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 377 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 378 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 379 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 380 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 381 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 382 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 383 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 384 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 385 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 386 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 387 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 388 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 389 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 390 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 391 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 392 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 393 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 394 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 395 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 396 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 397 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 398 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 399 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 400 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 401 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 402 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 403 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 404 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 405 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 406 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 407 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 408 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 409 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 410 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 411 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 412 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 413 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 414 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 415 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 416 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 417 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 418 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 419 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 420 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 421 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 422 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 423 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 424 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 425 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 426 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 427 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 428 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 429 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 430 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 431 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 432 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 433 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 434 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 435 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 436 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 437 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 438 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 439 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 440 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 441 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 442 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 443 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 444 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 445 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 446 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 447 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 448 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 449 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 450 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 451 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 452 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 453 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 454 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 455 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 456 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 457 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 458 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 459 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 460 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 461 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 462 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 463 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 464 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 465 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 466 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 467 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 468 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 469 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 470 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 471 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 472 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 473 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 474 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 475 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 476 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 477 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 478 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 479 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 480 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 481 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 482 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 483 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 484 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 485 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 486 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 487 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 488 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 489 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 490 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 491 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 492 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 493 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 494 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 495 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 496 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 497 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 498 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 499 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 500 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 501 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 502 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 503 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 504 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 505 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 506 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 507 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 508 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 509 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 510 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 511 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 512 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 513 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 514 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 515 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 516 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 517 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 518 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 519 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 520 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 521 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 522 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 523 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 524 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 525 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 526 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 527 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 528 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 529 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 530 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 531 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 532 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 533 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 534 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 535 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 536 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 537 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 538 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 539 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 540 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 541 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 542 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 543 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 544 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 545 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 546 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 547 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 548 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 549 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 550 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 551 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 552 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 553 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 554 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 555 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 556 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 557 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 558 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 559 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 560 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 561 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 562 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 563 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 564 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 565 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 566 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 567 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 568 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 569 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 570 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 571 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 572 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 573 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 574 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 575 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 576 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 577 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 578 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 579 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 580 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 581 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 582 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 583 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 584 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 585 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 586 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 587 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 588 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 589 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 590 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 591 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 592 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 593 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 594 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 595 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 596 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 597 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 598 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 599 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 600 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 601 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 602 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 603 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 604 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 605 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 606 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 607 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 608 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 609 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 610 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 611 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 612 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 613 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 614 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 615 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 616 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 617 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 618 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 619 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 620 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 621 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 622 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 623 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 624 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 625 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 626 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 627 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 628 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 629 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 630 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 631 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 632 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 633 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 634 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 635 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 636 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 637 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 638 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 639 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 640 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 641 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 642 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 643 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 644 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 645 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 646 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 647 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 648 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 649 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 650 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 651 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 652 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 653 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 654 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 655 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 656 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 657 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 658 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 659 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 660 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 661 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 662 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 663 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 664 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 665 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 666 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 667 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 668 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 669 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 670 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 671 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 672 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 673 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 674 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 675 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 676 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 677 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 678 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 679 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 680 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 681 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 682 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 683 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 684 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 685 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 686 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 687 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 688 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 689 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 690 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 691 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 692 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 693 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 694 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 695 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 696 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 697 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 698 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 699 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 700 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 701 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 702 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 703 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 704 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 705 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 706 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 707 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 708 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 709 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 710 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 711 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 712 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 713 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 714 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 715 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 716 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 717 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 718 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 719 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 720 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 721 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 722 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 723 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 724 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 725 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 726 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 727 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 728 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 729 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 730 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 731 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 732 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 733 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 734 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 735 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 736 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 737 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 738 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 739 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 740 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 741 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 742 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 743 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 744 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 745 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 746 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 747 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 748 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 749 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 750 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 751 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 752 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 753 |
+
|
| 754 |
+
Wrote /datadrive/ayush/home/minimoX/learning/experiments/learnability/train_policy_only/minimo_0pt/s42/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64/bf_extrinsic-95_mid.json
|
| 755 |
+
Solved 27/94 in 2775.5s
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experiments/learnability/train_policy_only/minimo_0pt/s42/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64/epoch_1.pt
ADDED
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@@ -0,0 +1,3 @@
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| 1 |
+
version https://git-lfs.github.com/spec/v1
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| 2 |
+
oid sha256:adbe5f6d3b6e35d80859d918e4f70a48e68365bacce3aa8e53cfbc19ea561c28
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| 3 |
+
size 318283327
|
experiments/learnability/train_policy_only/minimo_0pt/s42/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64/epoch_2.pt
ADDED
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@@ -0,0 +1,3 @@
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| 1 |
+
version https://git-lfs.github.com/spec/v1
|
| 2 |
+
oid sha256:b3bc4294662f1c048d36b9dd9da75f400916096fe312b19c58db5c4c1a30ad17
|
| 3 |
+
size 318283327
|
experiments/learnability/train_policy_only/minimo_0pt/s42/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64/rollout_extrinsic-95_final.json
ADDED
|
The diff for this file is too large to render.
See raw diff
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|
experiments/learnability/train_policy_only/minimo_0pt/s42/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64/rollout_extrinsic-95_final.log
ADDED
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@@ -0,0 +1,860 @@
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|
|
|
|
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|
|
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|
|
|
|
|
|
|
|
|
|
| 1 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 2 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 3 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 4 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 5 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 6 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 7 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 8 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 9 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 10 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 11 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 12 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 13 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 14 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 15 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 16 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 17 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 18 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 19 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 20 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 21 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 22 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 23 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 24 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 25 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 26 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 27 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 28 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 29 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 30 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 31 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 32 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 33 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 34 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 35 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 36 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 37 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 38 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 39 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 40 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 41 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 42 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 43 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 44 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 45 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 46 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 47 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 48 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 49 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 50 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 51 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 52 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 53 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 54 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 55 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 56 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 57 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 58 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 59 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 60 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 61 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 62 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 63 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 64 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 65 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 66 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 67 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 68 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 69 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 70 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 71 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 72 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 73 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 74 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 75 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 76 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 77 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 78 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 79 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 80 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 81 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 82 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 83 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 84 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 85 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 86 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 87 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 88 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 89 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 90 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 91 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 92 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 93 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 94 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 95 |
+
[OK ] g extrinsic_L0_4 (traces=1 evals=157)
|
| 96 |
+
|
| 97 |
+
thread '<unnamed>' (641608) panicked at src/universe/term.rs:851:75:
|
| 98 |
+
mid > len
|
| 99 |
+
note: run with `RUST_BACKTRACE=1` environment variable to display a backtrace
|
| 100 |
+
[ ] - extrinsic_L0_3 (traces=17 evals=13363)
|
| 101 |
+
|
| 102 |
+
thread '<unnamed>' (641610) panicked at src/universe/term.rs:851:75:
|
| 103 |
+
mid > len
|
| 104 |
+
note: run with `RUST_BACKTRACE=1` environment variable to display a backtrace
|
| 105 |
+
|
| 106 |
+
thread '<unnamed>' (641610) panicked at src/universe/term.rs:851:75:
|
| 107 |
+
mid > len
|
| 108 |
+
[ ] - extrinsic_L0_6 (traces=17 evals=39669)
|
| 109 |
+
[ ] - extrinsic_L0_5 (traces=17 evals=19034)
|
| 110 |
+
[ ] - extrinsic_L0_2 (traces=16 evals=28619)
|
| 111 |
+
[ ] - extrinsic_L0_7 (traces=17 evals=16461)
|
| 112 |
+
[ ] - extrinsic_L0_1 (traces=17 evals=20568)
|
| 113 |
+
[OK ] - extrinsic_L0_10 (traces=5 evals=12418)
|
| 114 |
+
[ ] - extrinsic_L0_8 (traces=17 evals=33606)
|
| 115 |
+
[ ] - extrinsic_L0_9 (traces=14 evals=29498)
|
| 116 |
+
[ ] - extrinsic_L0_11 (traces=13 evals=30617)
|
| 117 |
+
[ ] - extrinsic_L0_13 (traces=13 evals=19180)
|
| 118 |
+
[ ] - extrinsic_L0_12 (traces=13 evals=26858)
|
| 119 |
+
[ ] - extrinsic_L0_14 (traces=14 evals=19836)
|
| 120 |
+
[ ] - extrinsic_L1_1 (traces=17 evals=23815)
|
| 121 |
+
|
| 122 |
+
thread '<unnamed>' (641610) panicked at src/universe/term.rs:851:75:
|
| 123 |
+
mid > len
|
| 124 |
+
|
| 125 |
+
thread '<unnamed>' (641610) panicked at src/universe/term.rs:851:75:
|
| 126 |
+
mid > len
|
| 127 |
+
|
| 128 |
+
thread '<unnamed>' (641608) panicked at src/universe/term.rs:851:75:
|
| 129 |
+
mid > len
|
| 130 |
+
|
| 131 |
+
thread '<unnamed>' (641607) panicked at src/universe/term.rs:851:75:
|
| 132 |
+
mid > len
|
| 133 |
+
note: run with `RUST_BACKTRACE=1` environment variable to display a backtrace
|
| 134 |
+
|
| 135 |
+
thread '<unnamed>' (641608) panicked at src/universe/term.rs:851:75:
|
| 136 |
+
mid > len
|
| 137 |
+
|
| 138 |
+
thread '<unnamed>' (641607) panicked at src/universe/term.rs:851:75:
|
| 139 |
+
mid > len
|
| 140 |
+
[ ] - extrinsic_L2_1 (traces=17 evals=19613)
|
| 141 |
+
[ ] - extrinsic_L1_3 (traces=17 evals=25230)
|
| 142 |
+
[ ] - extrinsic_L1_2 (traces=15 evals=27942)
|
| 143 |
+
[ ] - extrinsic_L1_4 (traces=14 evals=28335)
|
| 144 |
+
|
| 145 |
+
thread '<unnamed>' (641604) panicked at src/universe/term.rs:851:75:
|
| 146 |
+
mid > len
|
| 147 |
+
note: run with `RUST_BACKTRACE=1` environment variable to display a backtrace
|
| 148 |
+
|
| 149 |
+
thread '<unnamed>' (641604) panicked at src/universe/term.rs:851:75:
|
| 150 |
+
mid > len
|
| 151 |
+
[ ] - extrinsic_L2_2 (traces=15 evals=28335)
|
| 152 |
+
[ ] - extrinsic_L2_3 (traces=14 evals=25720)
|
| 153 |
+
[ ] - extrinsic_L2_4 (traces=17 evals=20171)
|
| 154 |
+
[ ] - extrinsic_L2_6 (traces=17 evals=16593)
|
| 155 |
+
[ ] - extrinsic_L2_5 (traces=7 evals=14596)
|
| 156 |
+
[ ] - extrinsic_L2_7 (traces=14 evals=20837)
|
| 157 |
+
[ ] - extrinsic_L2_9 (traces=17 evals=20825)
|
| 158 |
+
[ ] - extrinsic_L2_10 (traces=17 evals=28960)
|
| 159 |
+
[ ] - extrinsic_L2_8 (traces=14 evals=22102)
|
| 160 |
+
|
| 161 |
+
thread '<unnamed>' (641608) panicked at src/universe/term.rs:851:75:
|
| 162 |
+
mid > len
|
| 163 |
+
|
| 164 |
+
thread '<unnamed>' (641608) panicked at src/universe/term.rs:851:75:
|
| 165 |
+
mid > len
|
| 166 |
+
[ ] - extrinsic_L2_11 (traces=14 evals=17432)
|
| 167 |
+
[ ] - extrinsic_L2_12 (traces=17 evals=27171)
|
| 168 |
+
[ ] - extrinsic_L2_13 (traces=13 evals=20910)
|
| 169 |
+
[ ] - extrinsic_L3_1 (traces=17 evals=34124)
|
| 170 |
+
|
| 171 |
+
thread '<unnamed>' (641611) panicked at src/universe/term.rs:851:75:
|
| 172 |
+
mid > len
|
| 173 |
+
note: run with `RUST_BACKTRACE=1` environment variable to display a backtrace
|
| 174 |
+
|
| 175 |
+
thread '<unnamed>' (641611) panicked at src/universe/term.rs:851:75:
|
| 176 |
+
mid > len
|
| 177 |
+
[ ] - extrinsic_L3_2 (traces=11 evals=7855)
|
| 178 |
+
[ ] - extrinsic_L3_3 (traces=15 evals=26080)
|
| 179 |
+
|
| 180 |
+
thread '<unnamed>' (641610) panicked at src/universe/term.rs:851:75:
|
| 181 |
+
mid > len
|
| 182 |
+
|
| 183 |
+
thread '<unnamed>' (641610) panicked at src/universe/term.rs:851:75:
|
| 184 |
+
mid > len
|
| 185 |
+
[ ] - extrinsic_L3_4 (traces=17 evals=26696)
|
| 186 |
+
[ ] - extrinsic_L3_5 (traces=12 evals=25859)
|
| 187 |
+
[ ] - extrinsic_L3_6 (traces=17 evals=19873)
|
| 188 |
+
[ ] - extrinsic_L3_7 (traces=13 evals=28622)
|
| 189 |
+
[ ] - extrinsic_L3_8 (traces=17 evals=26577)
|
| 190 |
+
|
| 191 |
+
thread '<unnamed>' (641610) panicked at src/universe/term.rs:851:75:
|
| 192 |
+
mid > len
|
| 193 |
+
|
| 194 |
+
thread '<unnamed>' (641610) panicked at src/universe/term.rs:851:75:
|
| 195 |
+
mid > len
|
| 196 |
+
[ ] - extrinsic_L3_9 (traces=17 evals=32833)
|
| 197 |
+
[ ] - extrinsic_L3_12 (traces=17 evals=16216)
|
| 198 |
+
[ ] - extrinsic_L3_10 (traces=17 evals=22955)
|
| 199 |
+
[ ] - extrinsic_L3_11 (traces=17 evals=24714)
|
| 200 |
+
[ ] - extrinsic_L3_13 (traces=13 evals=18428)
|
| 201 |
+
|
| 202 |
+
thread '<unnamed>' (641609) panicked at src/universe/term.rs:851:75:
|
| 203 |
+
mid > len
|
| 204 |
+
note: run with `RUST_BACKTRACE=1` environment variable to display a backtrace
|
| 205 |
+
|
| 206 |
+
thread '<unnamed>' (641609) panicked at src/universe/term.rs:851:75:
|
| 207 |
+
mid > len
|
| 208 |
+
|
| 209 |
+
thread '<unnamed>' (641609) panicked at src/universe/term.rs:851:75:
|
| 210 |
+
mid > len
|
| 211 |
+
[ ] - extrinsic_L3_14 (traces=17 evals=30855)
|
| 212 |
+
[ ] - extrinsic_L3_15 (traces=16 evals=25111)
|
| 213 |
+
[ ] - extrinsic_L3_17 (traces=17 evals=23629)
|
| 214 |
+
[ ] - extrinsic_L3_16 (traces=13 evals=20904)
|
| 215 |
+
[ ] - extrinsic_L3_18 (traces=17 evals=25080)
|
| 216 |
+
[ ] - extrinsic_L3_19 (traces=11 evals=17350)
|
| 217 |
+
|
| 218 |
+
thread '<unnamed>' (641610) panicked at src/universe/term.rs:851:75:
|
| 219 |
+
mid > len
|
| 220 |
+
|
| 221 |
+
thread '<unnamed>' (641610) panicked at src/universe/term.rs:851:75:
|
| 222 |
+
mid > len
|
| 223 |
+
[ ] - extrinsic_L3_20 (traces=11 evals=18780)
|
| 224 |
+
|
| 225 |
+
thread '<unnamed>' (641611) panicked at src/universe/term.rs:851:75:
|
| 226 |
+
mid > len
|
| 227 |
+
[ ] - extrinsic_L3_23 (traces=17 evals=30618)
|
| 228 |
+
[ ] - extrinsic_L3_21 (traces=13 evals=26941)
|
| 229 |
+
[ ] - extrinsic_L3_22 (traces=17 evals=20569)
|
| 230 |
+
[ ] - extrinsic_L3_24 (traces=9 evals=25569)
|
| 231 |
+
[ ] - extrinsic_L3_25 (traces=17 evals=11448)
|
| 232 |
+
|
| 233 |
+
thread '<unnamed>' (641610) panicked at src/universe/term.rs:851:75:
|
| 234 |
+
mid > len
|
| 235 |
+
|
| 236 |
+
thread '<unnamed>' (641610) panicked at src/universe/term.rs:851:75:
|
| 237 |
+
mid > len
|
| 238 |
+
|
| 239 |
+
thread '<unnamed>' (641610) panicked at src/universe/term.rs:851:75:
|
| 240 |
+
mid > len
|
| 241 |
+
[ ] - extrinsic_L3_26 (traces=17 evals=17614)
|
| 242 |
+
[ ] - extrinsic_L3_27 (traces=14 evals=28104)
|
| 243 |
+
[ ] - extrinsic_L3_28 (traces=17 evals=11882)
|
| 244 |
+
[ ] - extrinsic_L3_29 (traces=14 evals=28432)
|
| 245 |
+
[ ] - extrinsic_L4_1 (traces=14 evals=20370)
|
| 246 |
+
[ ] - extrinsic_L4_2 (traces=17 evals=20918)
|
| 247 |
+
|
| 248 |
+
thread '<unnamed>' (641609) panicked at src/universe/term.rs:851:75:
|
| 249 |
+
mid > len
|
| 250 |
+
|
| 251 |
+
thread '<unnamed>' (641609) panicked at src/universe/term.rs:851:75:
|
| 252 |
+
mid > len
|
| 253 |
+
[ ] - extrinsic_L4_6 (traces=17 evals=25934)
|
| 254 |
+
[ ] - extrinsic_L4_3 (traces=8 evals=25486)
|
| 255 |
+
|
| 256 |
+
thread '<unnamed>' (641611) panicked at src/universe/term.rs:851:75:
|
| 257 |
+
mid > len
|
| 258 |
+
[ ] - extrinsic_L4_5 (traces=13 evals=27705)
|
| 259 |
+
[ ] - extrinsic_L4_4 (traces=15 evals=25738)
|
| 260 |
+
[ ] - extrinsic_L4_7 (traces=13 evals=20448)
|
| 261 |
+
[ ] - extrinsic_L4_8 (traces=13 evals=32357)
|
| 262 |
+
[ ] - extrinsic_L4_9 (traces=17 evals=30127)
|
| 263 |
+
[ ] - extrinsic_L4_10 (traces=13 evals=24078)
|
| 264 |
+
[ ] - extrinsic_L4_11 (traces=14 evals=23992)
|
| 265 |
+
[ ] - extrinsic_L4_12 (traces=14 evals=25135)
|
| 266 |
+
[ ] - extrinsic_L4_13 (traces=13 evals=41908)
|
| 267 |
+
[ ] - extrinsic_L4_14 (traces=13 evals=27561)
|
| 268 |
+
[ ] - extrinsic_L5_1 (traces=17 evals=19484)
|
| 269 |
+
[ ] - extrinsic_L5_4 (traces=17 evals=13022)
|
| 270 |
+
[ ] - extrinsic_L5_2 (traces=3 evals=19680)
|
| 271 |
+
[ ] - extrinsic_L5_3 (traces=17 evals=30755)
|
| 272 |
+
[ ] - extrinsic_L5_5 (traces=11 evals=27855)
|
| 273 |
+
[ ] - extrinsic_L5_6 (traces=17 evals=28951)
|
| 274 |
+
[ ] - extrinsic_L5_7 (traces=17 evals=29261)
|
| 275 |
+
[ ] - extrinsic_L5_8 (traces=17 evals=26971)
|
| 276 |
+
|
| 277 |
+
thread '<unnamed>' (641607) panicked at src/universe/term.rs:851:75:
|
| 278 |
+
mid > len
|
| 279 |
+
|
| 280 |
+
thread '<unnamed>' (641607) panicked at src/universe/term.rs:851:75:
|
| 281 |
+
mid > len
|
| 282 |
+
[ ] - extrinsic_L5_9 (traces=13 evals=26518)
|
| 283 |
+
[ ] - extrinsic_L5_10 (traces=8 evals=30444)
|
| 284 |
+
[ ] - extrinsic_L5_11 (traces=12 evals=18475)
|
| 285 |
+
[ ] - extrinsic_L6_1 (traces=11 evals=11532)
|
| 286 |
+
[ ] - extrinsic_L6_3 (traces=6 evals=21172)
|
| 287 |
+
[ ] - extrinsic_L6_2 (traces=15 evals=34885)
|
| 288 |
+
[ ] - extrinsic_L6_4 (traces=2 evals=39874)
|
| 289 |
+
[ ] - extrinsic_L6_6 (traces=1 evals=166)
|
| 290 |
+
[ ] - extrinsic_L6_5 (traces=6 evals=45417)
|
| 291 |
+
[ ] - extrinsic_L6_7 (traces=11 evals=16887)
|
| 292 |
+
[ ] - extrinsic_L6_8 (traces=6 evals=53697)
|
| 293 |
+
[ ] - extrinsic_L6_9 (traces=11 evals=44023)
|
| 294 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 295 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 296 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 297 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 298 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 299 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 300 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 301 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 302 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 303 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 304 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 305 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 306 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 307 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 308 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 309 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 310 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 311 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 312 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 313 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 314 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 315 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 316 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 317 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 318 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 319 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 320 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 321 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 322 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 323 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 324 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 325 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 326 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 327 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 328 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 329 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 330 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 331 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 332 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 333 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 334 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 335 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 336 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 337 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 338 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 339 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 340 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 341 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 342 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 343 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 344 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 345 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 346 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 347 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 348 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 349 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 350 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 351 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 352 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 353 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 354 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 355 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 356 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 357 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 358 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 359 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 360 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 361 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 362 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 363 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 364 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 365 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 366 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 367 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 368 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 369 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 370 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 371 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 372 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 373 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 374 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 375 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 376 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 377 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 378 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 379 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 380 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 381 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 382 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 383 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 384 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 385 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 386 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 387 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 388 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 389 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 390 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 391 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 392 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 393 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 394 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 395 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 396 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 397 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 398 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 399 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 400 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 401 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 402 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 403 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 404 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 405 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 406 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 407 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 408 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 409 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 410 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 411 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 412 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 413 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 414 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 415 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 416 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 417 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 418 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 419 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 420 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 421 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 422 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 423 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 424 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 425 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 426 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 427 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 428 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 429 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 430 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 431 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 432 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 433 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 434 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 435 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 436 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 437 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 438 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 439 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 440 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 441 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 442 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 443 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 444 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 445 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 446 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 447 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 448 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 449 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 450 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 451 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 452 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 453 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 454 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 455 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 456 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 457 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 458 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 459 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 460 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 461 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 462 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 463 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 464 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 465 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 466 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 467 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 468 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 469 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 470 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 471 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 472 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 473 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 474 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 475 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 476 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 477 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 478 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 479 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 480 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 481 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 482 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 483 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 484 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 485 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 486 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 487 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 488 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 489 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 490 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 491 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 492 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 493 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 494 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 495 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 496 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 497 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 498 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 499 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 500 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 501 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 502 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 503 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 504 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 505 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 506 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 507 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 508 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 509 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 510 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 511 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 512 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 513 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 514 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 515 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 516 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 517 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 518 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 519 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 520 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 521 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 522 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 523 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 524 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 525 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 526 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 527 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 528 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 529 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 530 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 531 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 532 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 533 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 534 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 535 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 536 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 537 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 538 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 539 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 540 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 541 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 542 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 543 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 544 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 545 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 546 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 547 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 548 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 549 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 550 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 551 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 552 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 553 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 554 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 555 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 556 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 557 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 558 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 559 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 560 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 561 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 562 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 563 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 564 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 565 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 566 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 567 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 568 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 569 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 570 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 571 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 572 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 573 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 574 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 575 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 576 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 577 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 578 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 579 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 580 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 581 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 582 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 583 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 584 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 585 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 586 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 587 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 588 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 589 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 590 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 591 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 592 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 593 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 594 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 595 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 596 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 597 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 598 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 599 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 600 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 601 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 602 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 603 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 604 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 605 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 606 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 607 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 608 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 609 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 610 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 611 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 612 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 613 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 614 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 615 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 616 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 617 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 618 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 619 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 620 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 621 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 622 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 623 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 624 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 625 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 626 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 627 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 628 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 629 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 630 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 631 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 632 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 633 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 634 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 635 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 636 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 637 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 638 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 639 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 640 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 641 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 642 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 643 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 644 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 645 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 646 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 647 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 648 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 649 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 650 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 651 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 652 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 653 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 654 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 655 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 656 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 657 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 658 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 659 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 660 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 661 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 662 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 663 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 664 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 665 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 666 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 667 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 668 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 669 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 670 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 671 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 672 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 673 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 674 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 675 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 676 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 677 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 678 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 679 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 680 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 681 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 682 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 683 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 684 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 685 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 686 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 687 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 688 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 689 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 690 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 691 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 692 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 693 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 694 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 695 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 696 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 697 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 698 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 699 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 700 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 701 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 702 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 703 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 704 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 705 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 706 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 707 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 708 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 709 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 710 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 711 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 712 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 713 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 714 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 715 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 716 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 717 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 718 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 719 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 720 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 721 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 722 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 723 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 724 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 725 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 726 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 727 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 728 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 729 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 730 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 731 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 732 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 733 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 734 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 735 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 736 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 737 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 738 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 739 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 740 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 741 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 742 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 743 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 744 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 745 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 746 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 747 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 748 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 749 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 750 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 751 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 752 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 753 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 754 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 755 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 756 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 757 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 758 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 759 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 760 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 761 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 762 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 763 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 764 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 765 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 766 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 767 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 768 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 769 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 770 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 771 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 772 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 773 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 774 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 775 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 776 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 777 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 778 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 779 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 780 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 781 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 782 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 783 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 784 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 785 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 786 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 787 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 788 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 789 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 790 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 791 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 792 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 793 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 794 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 795 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 796 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 797 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 798 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 799 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 800 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 801 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 802 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 803 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 804 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 805 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 806 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 807 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 808 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 809 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 810 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 811 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 812 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 813 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 814 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 815 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 816 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 817 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 818 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 819 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 820 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 821 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 822 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 823 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 824 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 825 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 826 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 827 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 828 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 829 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 830 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 831 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 832 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 833 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 834 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 835 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 836 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 837 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 838 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 839 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 840 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 841 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 842 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 843 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 844 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 845 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 846 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 847 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 848 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 849 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 850 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 851 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 852 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 853 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 854 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 855 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 856 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 857 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 858 |
+
|
| 859 |
+
Wrote /datadrive/ayush/home/minimoX/learning/experiments/learnability/train_policy_only/minimo_0pt/s42/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64/rollout_extrinsic-95_final.json
|
| 860 |
+
Solved 2/94 in 9103.4s
|
experiments/learnability/train_policy_only/minimo_0pt/s42/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64/rollout_extrinsic-95_mid.log
ADDED
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|
| 1 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 2 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 3 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 4 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 5 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 6 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 7 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 8 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 9 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 10 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 11 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 12 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 13 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 14 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 15 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 16 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 17 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 18 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 19 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 20 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 21 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 22 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 23 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 24 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 25 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 26 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 27 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 28 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 29 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 30 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 31 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 32 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 33 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 34 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 35 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 36 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 37 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 38 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 39 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 40 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 41 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 42 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 43 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 44 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 45 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 46 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 47 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 48 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 49 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 50 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 51 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 52 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 53 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 54 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 55 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 56 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 57 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 58 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 59 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 60 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 61 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 62 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 63 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 64 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 65 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 66 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 67 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 68 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 69 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 70 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 71 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 72 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 73 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 74 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 75 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 76 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 77 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 78 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 79 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 80 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 81 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 82 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 83 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 84 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 85 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 86 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 87 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 88 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 89 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 90 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 91 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 92 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 93 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 94 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 95 |
+
[ ] - extrinsic_L0_2 (traces=17 evals=19642)
|
| 96 |
+
[ ] - extrinsic_L0_5 (traces=17 evals=20732)
|
| 97 |
+
[ ] - extrinsic_L0_4 (traces=17 evals=21760)
|
| 98 |
+
[ ] - extrinsic_L0_3 (traces=17 evals=21603)
|
| 99 |
+
[ ] - extrinsic_L0_1 (traces=17 evals=27361)
|
| 100 |
+
[ ] - extrinsic_L0_6 (traces=17 evals=33858)
|
| 101 |
+
[OK ] - extrinsic_L0_10 (traces=5 evals=12230)
|
| 102 |
+
[ ] - extrinsic_L0_8 (traces=17 evals=12521)
|
| 103 |
+
[ ] - extrinsic_L0_9 (traces=17 evals=19042)
|
| 104 |
+
[ ] - extrinsic_L0_7 (traces=15 evals=28101)
|
| 105 |
+
|
| 106 |
+
thread '<unnamed>' (924233) panicked at src/universe/term.rs:851:75:
|
| 107 |
+
mid > len
|
| 108 |
+
note: run with `RUST_BACKTRACE=1` environment variable to display a backtrace
|
| 109 |
+
|
| 110 |
+
thread '<unnamed>' (924233) panicked at src/universe/term.rs:851:75:
|
| 111 |
+
mid > len
|
| 112 |
+
|
| 113 |
+
thread '<unnamed>' (924233) panicked at src/universe/term.rs:851:75:
|
| 114 |
+
mid > len
|
| 115 |
+
|
| 116 |
+
thread '<unnamed>' (924233) panicked at src/universe/term.rs:851:75:
|
| 117 |
+
mid > len
|
| 118 |
+
|
| 119 |
+
thread '<unnamed>' (924233) panicked at src/universe/term.rs:851:75:
|
| 120 |
+
mid > len
|
| 121 |
+
|
| 122 |
+
thread '<unnamed>' (924233) panicked at src/universe/term.rs:851:75:
|
| 123 |
+
mid > len
|
| 124 |
+
|
| 125 |
+
thread '<unnamed>' (924233) panicked at src/universe/term.rs:851:75:
|
| 126 |
+
mid > len
|
| 127 |
+
|
| 128 |
+
thread '<unnamed>' (924233) panicked at src/universe/term.rs:851:75:
|
| 129 |
+
mid > len
|
| 130 |
+
|
| 131 |
+
thread '<unnamed>' (924233) panicked at src/universe/term.rs:851:75:
|
| 132 |
+
mid > len
|
| 133 |
+
|
| 134 |
+
thread '<unnamed>' (924233) panicked at src/universe/term.rs:851:75:
|
| 135 |
+
mid > len
|
| 136 |
+
|
| 137 |
+
thread '<unnamed>' (924233) panicked at src/universe/term.rs:851:75:
|
| 138 |
+
mid > len
|
| 139 |
+
|
| 140 |
+
thread '<unnamed>' (924233) panicked at src/universe/term.rs:851:75:
|
| 141 |
+
mid > len
|
| 142 |
+
|
| 143 |
+
thread '<unnamed>' (924233) panicked at src/universe/term.rs:851:75:
|
| 144 |
+
mid > len
|
| 145 |
+
|
| 146 |
+
thread '<unnamed>' (924233) panicked at src/universe/term.rs:851:75:
|
| 147 |
+
mid > len
|
| 148 |
+
|
| 149 |
+
thread '<unnamed>' (924233) panicked at src/universe/term.rs:851:75:
|
| 150 |
+
mid > len
|
| 151 |
+
|
| 152 |
+
thread '<unnamed>' (924233) panicked at src/universe/term.rs:851:75:
|
| 153 |
+
mid > len
|
| 154 |
+
|
| 155 |
+
thread '<unnamed>' (924233) panicked at src/universe/term.rs:851:75:
|
| 156 |
+
mid > len
|
| 157 |
+
|
| 158 |
+
thread '<unnamed>' (924233) panicked at src/universe/term.rs:851:75:
|
| 159 |
+
mid > len
|
| 160 |
+
|
| 161 |
+
thread '<unnamed>' (924233) panicked at src/universe/term.rs:851:75:
|
| 162 |
+
mid > len
|
| 163 |
+
|
| 164 |
+
thread '<unnamed>' (924233) panicked at src/universe/term.rs:851:75:
|
| 165 |
+
mid > len
|
| 166 |
+
|
| 167 |
+
thread '<unnamed>' (924233) panicked at src/universe/term.rs:851:75:
|
| 168 |
+
mid > len
|
| 169 |
+
|
| 170 |
+
thread '<unnamed>' (924233) panicked at src/universe/term.rs:851:75:
|
| 171 |
+
mid > len
|
| 172 |
+
|
| 173 |
+
thread '<unnamed>' (924233) panicked at src/universe/term.rs:851:75:
|
| 174 |
+
mid > len
|
| 175 |
+
|
| 176 |
+
thread '<unnamed>' (924233) panicked at src/universe/term.rs:851:75:
|
| 177 |
+
mid > len
|
| 178 |
+
|
| 179 |
+
thread '<unnamed>' (924233) panicked at src/universe/term.rs:851:75:
|
| 180 |
+
mid > len
|
| 181 |
+
|
| 182 |
+
thread '<unnamed>' (924233) panicked at src/universe/term.rs:851:75:
|
| 183 |
+
mid > len
|
| 184 |
+
|
| 185 |
+
thread '<unnamed>' (924233) panicked at src/universe/term.rs:851:75:
|
| 186 |
+
mid > len
|
| 187 |
+
|
| 188 |
+
thread '<unnamed>' (924233) panicked at src/universe/term.rs:851:75:
|
| 189 |
+
mid > len
|
| 190 |
+
|
| 191 |
+
thread '<unnamed>' (924233) panicked at src/universe/term.rs:851:75:
|
| 192 |
+
mid > len
|
| 193 |
+
|
| 194 |
+
thread '<unnamed>' (924233) panicked at src/universe/term.rs:851:75:
|
| 195 |
+
mid > len
|
| 196 |
+
|
| 197 |
+
thread '<unnamed>' (924233) panicked at src/universe/term.rs:851:75:
|
| 198 |
+
mid > len
|
| 199 |
+
|
| 200 |
+
thread '<unnamed>' (924233) panicked at src/universe/term.rs:851:75:
|
| 201 |
+
mid > len
|
| 202 |
+
|
| 203 |
+
thread '<unnamed>' (924233) panicked at src/universe/term.rs:851:75:
|
| 204 |
+
mid > len
|
| 205 |
+
|
| 206 |
+
thread '<unnamed>' (924233) panicked at src/universe/term.rs:851:75:
|
| 207 |
+
mid > len
|
| 208 |
+
|
| 209 |
+
thread '<unnamed>' (924233) panicked at src/universe/term.rs:851:75:
|
| 210 |
+
mid > len
|
| 211 |
+
|
| 212 |
+
thread '<unnamed>' (924233) panicked at src/universe/term.rs:851:75:
|
| 213 |
+
mid > len
|
| 214 |
+
|
| 215 |
+
thread '<unnamed>' (924233) panicked at src/universe/term.rs:851:75:
|
| 216 |
+
mid > len
|
| 217 |
+
|
| 218 |
+
thread '<unnamed>' (924233) panicked at src/universe/term.rs:851:75:
|
| 219 |
+
mid > len
|
| 220 |
+
[ ] - extrinsic_L0_11 (traces=10 evals=18491)
|
| 221 |
+
[ ] - extrinsic_L0_12 (traces=13 evals=18203)
|
| 222 |
+
[ ] - extrinsic_L0_13 (traces=17 evals=33424)
|
| 223 |
+
|
| 224 |
+
thread '<unnamed>' (924234) panicked at src/universe/term.rs:851:75:
|
| 225 |
+
mid > len
|
| 226 |
+
note: run with `RUST_BACKTRACE=1` environment variable to display a backtrace
|
| 227 |
+
[ ] - extrinsic_L1_2 (traces=17 evals=25381)
|
| 228 |
+
[ ] - extrinsic_L1_1 (traces=13 evals=27060)
|
| 229 |
+
[ ] - extrinsic_L0_14 (traces=5 evals=21845)
|
| 230 |
+
[ ] - extrinsic_L2_1 (traces=17 evals=12326)
|
| 231 |
+
[ ] - extrinsic_L1_3 (traces=17 evals=22986)
|
| 232 |
+
|
| 233 |
+
thread '<unnamed>' (924232) panicked at src/universe/term.rs:851:75:
|
| 234 |
+
mid > len
|
| 235 |
+
note: run with `RUST_BACKTRACE=1` environment variable to display a backtrace
|
| 236 |
+
[ ] - extrinsic_L1_4 (traces=9 evals=19442)
|
| 237 |
+
[ ] - extrinsic_L2_2 (traces=17 evals=14009)
|
| 238 |
+
[ ] - extrinsic_L2_3 (traces=17 evals=19636)
|
| 239 |
+
[ ] - extrinsic_L2_6 (traces=17 evals=16192)
|
| 240 |
+
[ ] - extrinsic_L2_4 (traces=17 evals=24776)
|
| 241 |
+
[ ] - extrinsic_L2_5 (traces=11 evals=16943)
|
| 242 |
+
[ ] - extrinsic_L2_7 (traces=17 evals=26530)
|
| 243 |
+
[ ] - extrinsic_L2_9 (traces=17 evals=17255)
|
| 244 |
+
[ ] - extrinsic_L2_8 (traces=14 evals=22887)
|
| 245 |
+
[ ] - extrinsic_L2_11 (traces=17 evals=22956)
|
| 246 |
+
[ ] - extrinsic_L2_13 (traces=17 evals=22915)
|
| 247 |
+
[ ] - extrinsic_L2_10 (traces=17 evals=32997)
|
| 248 |
+
[ ] - extrinsic_L2_12 (traces=8 evals=25562)
|
| 249 |
+
[ ] - extrinsic_L3_1 (traces=17 evals=20553)
|
| 250 |
+
[ ] - extrinsic_L3_2 (traces=17 evals=30162)
|
| 251 |
+
[ ] - extrinsic_L3_3 (traces=9 evals=10053)
|
| 252 |
+
[ ] - extrinsic_L3_4 (traces=14 evals=43202)
|
| 253 |
+
[ ] - extrinsic_L3_5 (traces=13 evals=29001)
|
| 254 |
+
[ ] - extrinsic_L3_6 (traces=17 evals=18446)
|
| 255 |
+
[ ] - extrinsic_L3_7 (traces=12 evals=18240)
|
| 256 |
+
[ ] - extrinsic_L3_8 (traces=17 evals=29391)
|
| 257 |
+
[ ] - extrinsic_L3_9 (traces=17 evals=18076)
|
| 258 |
+
[ ] - extrinsic_L3_10 (traces=17 evals=22273)
|
| 259 |
+
[ ] - extrinsic_L3_12 (traces=17 evals=18201)
|
| 260 |
+
|
| 261 |
+
thread '<unnamed>' (924233) panicked at src/universe/term.rs:851:75:
|
| 262 |
+
mid > len
|
| 263 |
+
[ ] - extrinsic_L3_11 (traces=17 evals=26120)
|
| 264 |
+
[ ] - extrinsic_L3_13 (traces=13 evals=16010)
|
| 265 |
+
[ ] - extrinsic_L3_14 (traces=17 evals=20498)
|
| 266 |
+
[ ] - extrinsic_L3_15 (traces=13 evals=20798)
|
| 267 |
+
[ ] - extrinsic_L3_16 (traces=17 evals=27943)
|
| 268 |
+
[ ] - extrinsic_L3_17 (traces=17 evals=25831)
|
| 269 |
+
[ ] - extrinsic_L3_18 (traces=17 evals=17967)
|
| 270 |
+
[ ] - extrinsic_L3_19 (traces=11 evals=8232)
|
| 271 |
+
[ ] - extrinsic_L3_20 (traces=14 evals=25164)
|
| 272 |
+
[ ] - extrinsic_L3_22 (traces=17 evals=21439)
|
| 273 |
+
[ ] - extrinsic_L3_21 (traces=11 evals=9918)
|
| 274 |
+
[ ] - extrinsic_L3_24 (traces=17 evals=37569)
|
| 275 |
+
[ ] - extrinsic_L3_23 (traces=11 evals=16985)
|
| 276 |
+
[ ] - extrinsic_L3_26 (traces=17 evals=19119)
|
| 277 |
+
|
| 278 |
+
thread '<unnamed>' (924232) panicked at src/universe/term.rs:851:75:
|
| 279 |
+
mid > len
|
| 280 |
+
[ ] - extrinsic_L3_25 (traces=14 evals=23385)
|
| 281 |
+
[ ] - extrinsic_L3_28 (traces=17 evals=15839)
|
| 282 |
+
|
| 283 |
+
thread '<unnamed>' (924232) panicked at src/universe/term.rs:851:75:
|
| 284 |
+
mid > len
|
| 285 |
+
|
| 286 |
+
thread '<unnamed>' (924232) panicked at src/universe/term.rs:851:75:
|
| 287 |
+
mid > len
|
| 288 |
+
|
| 289 |
+
thread '<unnamed>' (924232) panicked at src/universe/term.rs:851:75:
|
| 290 |
+
mid > len
|
| 291 |
+
|
| 292 |
+
thread '<unnamed>' (924232) panicked at src/universe/term.rs:851:75:
|
| 293 |
+
mid > len
|
| 294 |
+
[ ] - extrinsic_L3_27 (traces=17 evals=20472)
|
| 295 |
+
[ ] - extrinsic_L4_2 (traces=17 evals=19878)
|
| 296 |
+
[ ] - extrinsic_L4_1 (traces=17 evals=27410)
|
| 297 |
+
[ ] - extrinsic_L3_29 (traces=8 evals=11557)
|
| 298 |
+
[ ] - extrinsic_L4_4 (traces=17 evals=20998)
|
| 299 |
+
[ ] - extrinsic_L4_3 (traces=17 evals=27883)
|
| 300 |
+
[ ] - extrinsic_L4_5 (traces=17 evals=26622)
|
| 301 |
+
[ ] - extrinsic_L4_6 (traces=17 evals=23860)
|
| 302 |
+
[ ] - extrinsic_L4_7 (traces=14 evals=26034)
|
| 303 |
+
[ ] - extrinsic_L4_8 (traces=15 evals=23885)
|
| 304 |
+
[ ] - extrinsic_L4_9 (traces=17 evals=27019)
|
| 305 |
+
[ ] - extrinsic_L4_10 (traces=14 evals=24636)
|
| 306 |
+
[ ] - extrinsic_L4_11 (traces=14 evals=27601)
|
| 307 |
+
[ ] - extrinsic_L4_12 (traces=14 evals=28420)
|
| 308 |
+
[ ] - extrinsic_L4_13 (traces=16 evals=30625)
|
| 309 |
+
[ ] - extrinsic_L4_14 (traces=16 evals=32670)
|
| 310 |
+
[ ] - extrinsic_L5_1 (traces=13 evals=24552)
|
| 311 |
+
[ ] - extrinsic_L5_2 (traces=16 evals=23174)
|
| 312 |
+
[ ] - extrinsic_L5_3 (traces=17 evals=18201)
|
| 313 |
+
[ ] - extrinsic_L5_4 (traces=17 evals=14427)
|
| 314 |
+
[ ] - extrinsic_L5_7 (traces=17 evals=31669)
|
| 315 |
+
[ ] - extrinsic_L5_6 (traces=11 evals=23160)
|
| 316 |
+
[ ] - extrinsic_L5_5 (traces=15 evals=22233)
|
| 317 |
+
|
| 318 |
+
thread '<unnamed>' (924228) panicked at src/universe/term.rs:851:75:
|
| 319 |
+
mid > len
|
| 320 |
+
note: run with `RUST_BACKTRACE=1` environment variable to display a backtrace
|
| 321 |
+
|
| 322 |
+
thread '<unnamed>' (924228) panicked at src/universe/term.rs:851:75:
|
| 323 |
+
mid > len
|
| 324 |
+
|
| 325 |
+
thread '<unnamed>' (924228) panicked at src/universe/term.rs:851:75:
|
| 326 |
+
mid > len
|
| 327 |
+
[ ] - extrinsic_L5_8 (traces=15 evals=22522)
|
| 328 |
+
[ ] - extrinsic_L5_9 (traces=13 evals=18763)
|
| 329 |
+
[ ] - extrinsic_L5_10 (traces=11 evals=21560)
|
| 330 |
+
[ ] - extrinsic_L6_1 (traces=15 evals=17141)
|
| 331 |
+
[ ] - extrinsic_L6_2 (traces=9 evals=45141)
|
| 332 |
+
[ ] - extrinsic_L6_4 (traces=17 evals=19005)
|
| 333 |
+
[ ] - extrinsic_L5_11 (traces=7 evals=77505)
|
| 334 |
+
[ ] - extrinsic_L6_3 (traces=6 evals=26291)
|
experiments/learnability/train_policy_only/minimo_0pt/s42/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64/train_stats.json
ADDED
|
@@ -0,0 +1,3 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
{
|
| 2 |
+
"total_gradient_steps": 50
|
| 3 |
+
}
|
experiments/learnability/train_policy_only/minimo_0pt/s42/train.log
ADDED
|
@@ -0,0 +1,40 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
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|
|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
wandb: WARNING Using a boolean value for 'reinit' is deprecated. Use 'return_previous' or 'finish_previous' instead.
|
| 2 |
+
wandb: Tracking run with wandb version 0.24.0
|
| 3 |
+
wandb: W&B syncing is set to `offline` in this directory. Run `wandb online` or set WANDB_MODE=online to enable cloud syncing.
|
| 4 |
+
wandb: Run data is saved locally in /datadrive/ayush/home/minimoX/learning/wandb/offline-run-20260628_052959-70wbe9fe
|
| 5 |
+
[2026-06-28T05:29:55.233022] Seeded RNGs with seed=42
|
| 6 |
+
[2026-06-28T05:29:55.233313] Loading checkpoint from /datadrive/ayush/home/minimoX/learning/outputs/bootstrap_bs_800_para/2026-03-12_23-41-21/0.pt
|
| 7 |
+
[2026-06-28T05:29:58.908114] Loading examples from /datadrive/ayush/home/minimoX/learning/experiments/learnability/minimo_0pt/examples_policy_only.json
|
| 8 |
+
1567 training examples loaded.
|
| 9 |
+
|
| 10 |
+
============================================================
|
| 11 |
+
[2026-06-28T05:29:58.910140] Starting ablation: updates_0_epoch_2ep_bs64 (mode=epoch)
|
| 12 |
+
n_steps=8000, batch_size=64, lr=None
|
| 13 |
+
output -> /datadrive/ayush/home/minimoX/learning/experiments/learnability/train_policy_only/minimo_0pt/s42/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64
|
| 14 |
+
============================================================
|
| 15 |
+
Dedup: 1567 -> 1567 unique examples
|
| 16 |
+
|
| 17 |
+
|
| 18 |
+
[2026-06-28T05:30:04.741231] Saved checkpoint at epoch 1 -> /datadrive/ayush/home/minimoX/learning/experiments/learnability/train_policy_only/minimo_0pt/s42/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64/epoch_1.pt
|
| 19 |
+
|
| 20 |
+
wandb:
|
| 21 |
+
wandb: Run history:
|
| 22 |
+
wandb: epoch ▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁████████████████████
|
| 23 |
+
wandb: train_loss █▆▅▄▃▃▃▃▃▂▂▂▂▂▂▂▁▂▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
|
| 24 |
+
wandb:
|
| 25 |
+
wandb: Run summary:
|
| 26 |
+
wandb: epoch 2
|
| 27 |
+
wandb: train_loss 0.72926
|
| 28 |
+
wandb:
|
| 29 |
+
wandb: You can sync this run to the cloud by running:
|
| 30 |
+
wandb: wandb sync /datadrive/ayush/home/minimoX/learning/wandb/offline-run-20260628_052959-70wbe9fe
|
| 31 |
+
wandb: Find logs at: ./wandb/offline-run-20260628_052959-70wbe9fe/logs
|
| 32 |
+
[2026-06-28T05:30:09.712384] Saved checkpoint at epoch 2 -> /datadrive/ayush/home/minimoX/learning/experiments/learnability/train_policy_only/minimo_0pt/s42/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64/epoch_2.pt
|
| 33 |
+
Done: 2 epoch(s), 50 total steps, 1567 unique examples (batch_size=64)
|
| 34 |
+
[2026-06-28T05:30:09.912146] Saved trained agent to /datadrive/ayush/home/minimoX/learning/experiments/learnability/train_policy_only/minimo_0pt/s42/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64/1.pt
|
| 35 |
+
|
| 36 |
+
============================================================
|
| 37 |
+
[2026-06-28T05:30:09.922251] All ablations complete.
|
| 38 |
+
============================================================
|
| 39 |
+
Summary saved to /datadrive/ayush/home/minimoX/learning/experiments/learnability/train_policy_only/minimo_0pt/s42/2026-06-28_05-29-55/summary.json
|
| 40 |
+
updates_0_epoch_2ep_bs64: {'path': '/datadrive/ayush/home/minimoX/learning/experiments/learnability/train_policy_only/minimo_0pt/s42/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64/1.pt', 'total_gradient_steps': 50}
|
experiments/learnability/train_policy_only/minimo_0pt/s43/2026-06-28_05-29-55/summary.json
ADDED
|
@@ -0,0 +1,18 @@
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|
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|
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|
|
|
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|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
{
|
| 2 |
+
"checkpoint": "/datadrive/ayush/home/minimoX/learning/outputs/bootstrap_bs_800_para/2026-03-12_23-41-21/0.pt",
|
| 3 |
+
"examples": "/datadrive/ayush/home/minimoX/learning/experiments/learnability/minimo_0pt/examples_policy_only.json",
|
| 4 |
+
"configs": [
|
| 5 |
+
{
|
| 6 |
+
"mode": "epoch",
|
| 7 |
+
"batch_size": 64,
|
| 8 |
+
"n_epochs": 2,
|
| 9 |
+
"save_every": 1
|
| 10 |
+
}
|
| 11 |
+
],
|
| 12 |
+
"results": {
|
| 13 |
+
"updates_0_epoch_2ep_bs64": {
|
| 14 |
+
"path": "/datadrive/ayush/home/minimoX/learning/experiments/learnability/train_policy_only/minimo_0pt/s43/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64/1.pt",
|
| 15 |
+
"total_gradient_steps": 50
|
| 16 |
+
}
|
| 17 |
+
}
|
| 18 |
+
}
|
experiments/learnability/train_policy_only/minimo_0pt/s43/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64/1.pt
ADDED
|
@@ -0,0 +1,3 @@
|
|
|
|
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|
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|
|
|
|
|
| 1 |
+
version https://git-lfs.github.com/spec/v1
|
| 2 |
+
oid sha256:dbb4bd67e1de7f82ad15e2780652350ee1cce2d58c200f92094e29bce4036c2d
|
| 3 |
+
size 318254491
|
experiments/learnability/train_policy_only/minimo_0pt/s43/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64/ablation_config.json
ADDED
|
@@ -0,0 +1,8 @@
|
|
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|
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|
|
|
|
|
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|
|
|
|
|
|
|
|
|
|
|
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|
| 1 |
+
{
|
| 2 |
+
"mode": "epoch",
|
| 3 |
+
"batch_size": 64,
|
| 4 |
+
"n_epochs": 2,
|
| 5 |
+
"save_every": 1,
|
| 6 |
+
"checkpoint": "/datadrive/ayush/home/minimoX/learning/outputs/bootstrap_bs_800_para/2026-03-12_23-41-21/0.pt",
|
| 7 |
+
"examples": "/datadrive/ayush/home/minimoX/learning/experiments/learnability/minimo_0pt/examples_policy_only.json"
|
| 8 |
+
}
|
experiments/learnability/train_policy_only/minimo_0pt/s43/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64/bf_extrinsic-95_final.json
ADDED
|
@@ -0,0 +1,1057 @@
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experiments/learnability/train_policy_only/minimo_0pt/s43/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64/bf_extrinsic-95_final.log
ADDED
|
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|
| 1 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 2 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 3 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 4 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 5 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 6 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 7 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 8 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 9 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 10 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 11 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 12 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 13 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 14 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 15 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 16 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 17 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 18 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 19 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 20 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 21 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 22 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 23 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 24 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 25 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 26 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 27 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 28 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 29 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 30 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 31 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 32 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 33 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 34 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 35 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 36 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 37 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 38 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 39 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 40 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 41 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 42 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 43 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 44 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 45 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 46 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 47 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 48 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 49 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 50 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 51 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 52 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 53 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 54 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 55 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 56 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 57 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 58 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 59 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 60 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 61 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 62 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 63 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 64 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 65 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 66 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 67 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 68 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 69 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 70 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 71 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 72 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 73 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 74 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 75 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 76 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 77 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 78 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 79 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 80 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 81 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 82 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 83 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 84 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 85 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 86 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 87 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 88 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 89 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 90 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 91 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 92 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 93 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 94 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 95 |
+
[OK ] extrinsic_L0_1 (solved pops=5 evals=25 maxopen=19)
|
| 96 |
+
[OK ] extrinsic_L0_2 (solved pops=55 evals=352 maxopen=298)
|
| 97 |
+
[OK ] extrinsic_L0_5 (solved pops=56 evals=368 maxopen=313)
|
| 98 |
+
[OK ] extrinsic_L0_6 (solved pops=57 evals=353 maxopen=297)
|
| 99 |
+
[OK ] extrinsic_L0_3 (solved pops=61 evals=368 maxopen=308)
|
| 100 |
+
[OK ] extrinsic_L0_7 (solved pops=56 evals=356 maxopen=301)
|
| 101 |
+
[OK ] extrinsic_L0_10 (solved pops=7 evals=41 maxopen=35)
|
| 102 |
+
[OK ] extrinsic_L0_12 (solved pops=16 evals=89 maxopen=57)
|
| 103 |
+
[OK ] extrinsic_L0_13 (solved pops=20 evals=152 maxopen=133)
|
| 104 |
+
[OK ] extrinsic_L0_9 (solved pops=50 evals=327 maxopen=278)
|
| 105 |
+
[OK ] extrinsic_L0_8 (solved pops=58 evals=361 maxopen=304)
|
| 106 |
+
[OK ] extrinsic_L0_4 (solved pops=206 evals=1114 maxopen=909)
|
| 107 |
+
[OK ] extrinsic_L1_4 (solved pops=16 evals=116 maxopen=99)
|
| 108 |
+
[OK ] extrinsic_L0_11 (solved pops=208 evals=1124 maxopen=917)
|
| 109 |
+
[OK ] extrinsic_L1_1 (solved pops=214 evals=1155 maxopen=942)
|
| 110 |
+
[OK ] extrinsic_L1_2 (solved pops=461 evals=2467 maxopen=2007)
|
| 111 |
+
[OK ] extrinsic_L1_3 (solved pops=461 evals=2464 maxopen=2004)
|
| 112 |
+
[OK ] extrinsic_L2_1 (solved pops=1255 evals=6827 maxopen=5573)
|
| 113 |
+
[OK ] extrinsic_L2_6 (solved pops=1581 evals=9164 maxopen=7584)
|
| 114 |
+
[OK ] extrinsic_L2_7 (solved pops=999 evals=5573 maxopen=4575)
|
| 115 |
+
[ ] extrinsic_L2_2 (budget pops=4000 evals=26089 maxopen=22090)
|
| 116 |
+
[OK ] extrinsic_L0_14 (solved pops=3997 evals=26361 maxopen=22365)
|
| 117 |
+
[ ] extrinsic_L2_3 (budget pops=4000 evals=25961 maxopen=21962)
|
| 118 |
+
[OK ] extrinsic_L2_11 (solved pops=22 evals=145 maxopen=122)
|
| 119 |
+
[ ] extrinsic_L2_4 (budget pops=4000 evals=25956 maxopen=21957)
|
| 120 |
+
[ ] extrinsic_L2_5 (budget pops=4000 evals=25801 maxopen=21802)
|
| 121 |
+
[OK ] extrinsic_L2_9 (solved pops=1002 evals=5617 maxopen=4616)
|
| 122 |
+
[OK ] extrinsic_L2_12 (solved pops=1369 evals=7783 maxopen=6415)
|
| 123 |
+
[ ] extrinsic_L2_8 (budget pops=4000 evals=26033 maxopen=22034)
|
| 124 |
+
[ ] extrinsic_L2_10 (budget pops=4000 evals=26421 maxopen=22422)
|
| 125 |
+
[ ] extrinsic_L2_13 (budget pops=4000 evals=25833 maxopen=21834)
|
| 126 |
+
[ ] extrinsic_L3_1 (budget pops=4000 evals=25962 maxopen=21963)
|
| 127 |
+
[ ] extrinsic_L3_2 (budget pops=4000 evals=25843 maxopen=21844)
|
| 128 |
+
[ ] extrinsic_L3_3 (budget pops=4000 evals=25862 maxopen=21863)
|
| 129 |
+
[ ] extrinsic_L3_4 (budget pops=4000 evals=26019 maxopen=22020)
|
| 130 |
+
[ ] extrinsic_L3_5 (budget pops=4000 evals=26019 maxopen=22020)
|
| 131 |
+
[ ] extrinsic_L3_6 (budget pops=4000 evals=25802 maxopen=21803)
|
| 132 |
+
[ ] extrinsic_L3_7 (budget pops=4000 evals=25949 maxopen=21950)
|
| 133 |
+
[ ] extrinsic_L3_8 (budget pops=4000 evals=25981 maxopen=21982)
|
| 134 |
+
[ ] extrinsic_L3_9 (budget pops=4000 evals=26138 maxopen=22139)
|
| 135 |
+
[ ] extrinsic_L3_10 (budget pops=4000 evals=25955 maxopen=21956)
|
| 136 |
+
[ ] extrinsic_L3_11 (budget pops=4000 evals=26180 maxopen=22181)
|
| 137 |
+
[OK ] extrinsic_L3_13 (solved pops=3442 evals=21594 maxopen=18153)
|
| 138 |
+
[OK ] extrinsic_L3_14 (solved pops=3143 evals=19167 maxopen=16025)
|
| 139 |
+
[ ] extrinsic_L3_12 (budget pops=4000 evals=26181 maxopen=22182)
|
| 140 |
+
[ ] extrinsic_L3_15 (budget pops=4000 evals=25975 maxopen=21976)
|
| 141 |
+
[ ] extrinsic_L3_16 (budget pops=4000 evals=26013 maxopen=22014)
|
| 142 |
+
[ ] extrinsic_L3_17 (budget pops=4000 evals=25760 maxopen=21761)
|
| 143 |
+
[ ] extrinsic_L3_18 (budget pops=4000 evals=25900 maxopen=21901)
|
| 144 |
+
[ ] extrinsic_L3_19 (budget pops=4000 evals=26010 maxopen=22011)
|
| 145 |
+
[ ] extrinsic_L3_20 (budget pops=4000 evals=26116 maxopen=22117)
|
| 146 |
+
[ ] extrinsic_L3_21 (budget pops=4000 evals=26117 maxopen=22118)
|
| 147 |
+
[ ] extrinsic_L3_22 (budget pops=4000 evals=25919 maxopen=21920)
|
| 148 |
+
[ ] extrinsic_L3_23 (budget pops=4000 evals=26272 maxopen=22273)
|
| 149 |
+
[ ] extrinsic_L3_24 (budget pops=4000 evals=26160 maxopen=22161)
|
| 150 |
+
[ ] extrinsic_L3_26 (budget pops=4000 evals=25902 maxopen=21903)
|
| 151 |
+
[ ] extrinsic_L3_25 (budget pops=4000 evals=26648 maxopen=22649)
|
| 152 |
+
[ ] extrinsic_L3_27 (budget pops=4000 evals=26284 maxopen=22285)
|
| 153 |
+
[ ] extrinsic_L3_28 (budget pops=4000 evals=25815 maxopen=21816)
|
| 154 |
+
[ ] extrinsic_L4_1 (budget pops=4000 evals=26132 maxopen=22133)
|
| 155 |
+
[ ] extrinsic_L3_29 (budget pops=4000 evals=26832 maxopen=22833)
|
| 156 |
+
[ ] extrinsic_L4_2 (budget pops=4000 evals=25903 maxopen=21904)
|
| 157 |
+
[ ] extrinsic_L4_3 (budget pops=4000 evals=26088 maxopen=22089)
|
| 158 |
+
[ ] extrinsic_L4_4 (budget pops=4000 evals=25953 maxopen=21954)
|
| 159 |
+
[ ] extrinsic_L4_6 (budget pops=4000 evals=25955 maxopen=21956)
|
| 160 |
+
[ ] extrinsic_L4_5 (budget pops=4000 evals=26104 maxopen=22105)
|
| 161 |
+
[ ] extrinsic_L4_7 (budget pops=4000 evals=26766 maxopen=22767)
|
| 162 |
+
[ ] extrinsic_L4_8 (budget pops=4000 evals=26233 maxopen=22234)
|
| 163 |
+
[ ] extrinsic_L4_9 (budget pops=4000 evals=26734 maxopen=22735)
|
| 164 |
+
[OK ] extrinsic_L4_12 (solved pops=1305 evals=7204 maxopen=5897)
|
| 165 |
+
[ ] extrinsic_L4_10 (budget pops=4000 evals=25355 maxopen=21356)
|
| 166 |
+
[ ] extrinsic_L4_11 (budget pops=4000 evals=26260 maxopen=22261)
|
| 167 |
+
[ ] extrinsic_L4_13 (budget pops=4000 evals=25890 maxopen=21891)
|
| 168 |
+
[ ] extrinsic_L4_14 (budget pops=4000 evals=26328 maxopen=22329)
|
| 169 |
+
[ ] extrinsic_L5_1 (budget pops=4000 evals=26321 maxopen=22322)
|
| 170 |
+
[ ] extrinsic_L5_2 (budget pops=4000 evals=26251 maxopen=22252)
|
| 171 |
+
[ ] extrinsic_L5_3 (budget pops=4000 evals=26322 maxopen=22323)
|
| 172 |
+
[ ] extrinsic_L5_4 (budget pops=4000 evals=26288 maxopen=22289)
|
| 173 |
+
[ ] extrinsic_L5_5 (budget pops=4000 evals=26563 maxopen=22564)
|
| 174 |
+
[ ] extrinsic_L5_6 (budget pops=4000 evals=26097 maxopen=22098)
|
| 175 |
+
[ ] extrinsic_L5_7 (budget pops=4000 evals=26504 maxopen=22505)
|
| 176 |
+
[ ] extrinsic_L5_8 (budget pops=4000 evals=26444 maxopen=22445)
|
| 177 |
+
[ ] extrinsic_L5_9 (budget pops=4000 evals=26261 maxopen=22262)
|
| 178 |
+
[ ] extrinsic_L5_10 (budget pops=4000 evals=26637 maxopen=22638)
|
| 179 |
+
[ ] extrinsic_L5_11 (budget pops=4000 evals=31384 maxopen=27385)
|
| 180 |
+
[ ] extrinsic_L6_1 (budget pops=4000 evals=25972 maxopen=21973)
|
| 181 |
+
[ ] extrinsic_L6_2 (budget pops=4000 evals=31299 maxopen=27300)
|
| 182 |
+
[ ] extrinsic_L6_3 (budget pops=4000 evals=31247 maxopen=27248)
|
| 183 |
+
[ ] extrinsic_L6_4 (budget pops=4000 evals=31136 maxopen=27137)
|
| 184 |
+
[ ] extrinsic_L6_5 (budget pops=4000 evals=31005 maxopen=27006)
|
| 185 |
+
[ ] extrinsic_L6_6 (budget pops=4000 evals=26088 maxopen=22089)
|
| 186 |
+
[ ] extrinsic_L6_7 (budget pops=4000 evals=26015 maxopen=22016)
|
| 187 |
+
[ ] extrinsic_L6_8 (budget pops=4000 evals=31337 maxopen=27338)
|
| 188 |
+
[ ] extrinsic_L6_9 (budget pops=4000 evals=31122 maxopen=27123)
|
| 189 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 190 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 191 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 192 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 193 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 194 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 195 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 196 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 197 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 198 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 199 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 200 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 201 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 202 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 203 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 204 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 205 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 206 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 207 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 208 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 209 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 210 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 211 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 212 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 213 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 214 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 215 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 216 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 217 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 218 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 219 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 220 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 221 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 222 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 223 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 224 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 225 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 226 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 227 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 228 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 229 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 230 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 231 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 232 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 233 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 234 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 235 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 236 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 237 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 238 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 239 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 240 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 241 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 242 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 243 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 244 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 245 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 246 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 247 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 248 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 249 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 250 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 251 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 252 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 253 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 254 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 255 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 256 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 257 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 258 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 259 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 260 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 261 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 262 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 263 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 264 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 265 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 266 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 267 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 268 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 269 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 270 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 271 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 272 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 273 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 274 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 275 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 276 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 277 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 278 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 279 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 280 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 281 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 282 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 283 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 284 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 285 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 286 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 287 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 288 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 289 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 290 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 291 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 292 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 293 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 294 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 295 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 296 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 297 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 298 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 299 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 300 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 301 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 302 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 303 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 304 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 305 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 306 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 307 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 308 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 309 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 310 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 311 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 312 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 313 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 314 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 315 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 316 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 317 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 318 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 319 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 320 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 321 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 322 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 323 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 324 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 325 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 326 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 327 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 328 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 329 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 330 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 331 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 332 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 333 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 334 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 335 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 336 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 337 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 338 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 339 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 340 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 341 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 342 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 343 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 344 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 345 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 346 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 347 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 348 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 349 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 350 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 351 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 352 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 353 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 354 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 355 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 356 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 357 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 358 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 359 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 360 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 361 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 362 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 363 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 364 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 365 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 366 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 367 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 368 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 369 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 370 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 371 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 372 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 373 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 374 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 375 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 376 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 377 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 378 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 379 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 380 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 381 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 382 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 383 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 384 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 385 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 386 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 387 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 388 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 389 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 390 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 391 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 392 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 393 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 394 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 395 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 396 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 397 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 398 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 399 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 400 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 401 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 402 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 403 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 404 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 405 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 406 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 407 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 408 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 409 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 410 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 411 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 412 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 413 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 414 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 415 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 416 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 417 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 418 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 419 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 420 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 421 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 422 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 423 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 424 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 425 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 426 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 427 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 428 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 429 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 430 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 431 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 432 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 433 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 434 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 435 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 436 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 437 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 438 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 439 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 440 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 441 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 442 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 443 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 444 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 445 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 446 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 447 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 448 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 449 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 450 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 451 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 452 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 453 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 454 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 455 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 456 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 457 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 458 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 459 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 460 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 461 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 462 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 463 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 464 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 465 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 466 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 467 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 468 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 469 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 470 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 471 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 472 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 473 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 474 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 475 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 476 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 477 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 478 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 479 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 480 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 481 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 482 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 483 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 484 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 485 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 486 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 487 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 488 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 489 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 490 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 491 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 492 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 493 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 494 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 495 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 496 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 497 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 498 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 499 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 500 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 501 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 502 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 503 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 504 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 505 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 506 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 507 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 508 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 509 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 510 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 511 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 512 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 513 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 514 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 515 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 516 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 517 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 518 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 519 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 520 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 521 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 522 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 523 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 524 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 525 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 526 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 527 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 528 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 529 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 530 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 531 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 532 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 533 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 534 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 535 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 536 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 537 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 538 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 539 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 540 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 541 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 542 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 543 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 544 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 545 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 546 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 547 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 548 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 549 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 550 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 551 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 552 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 553 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 554 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 555 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 556 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 557 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 558 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 559 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 560 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 561 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 562 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 563 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 564 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 565 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 566 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 567 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 568 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 569 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 570 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 571 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 572 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 573 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 574 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 575 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 576 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 577 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 578 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 579 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 580 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 581 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 582 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 583 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 584 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 585 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 586 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 587 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 588 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 589 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 590 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 591 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 592 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 593 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 594 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 595 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 596 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 597 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 598 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 599 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 600 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 601 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 602 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 603 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 604 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 605 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 606 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 607 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 608 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 609 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 610 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 611 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 612 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 613 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 614 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 615 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 616 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 617 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 618 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 619 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 620 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 621 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 622 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 623 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 624 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 625 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 626 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 627 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 628 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 629 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 630 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 631 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 632 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 633 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 634 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 635 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 636 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 637 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 638 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 639 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 640 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 641 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 642 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 643 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 644 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 645 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 646 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 647 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 648 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 649 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 650 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 651 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 652 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 653 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 654 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 655 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 656 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 657 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 658 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 659 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 660 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 661 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 662 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 663 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 664 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 665 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 666 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 667 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 668 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 669 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 670 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 671 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 672 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 673 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 674 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 675 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 676 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 677 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 678 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 679 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 680 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 681 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 682 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 683 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 684 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 685 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 686 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 687 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 688 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 689 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 690 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 691 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 692 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 693 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 694 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 695 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 696 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 697 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 698 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 699 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 700 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 701 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 702 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 703 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 704 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 705 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 706 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 707 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 708 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 709 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 710 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 711 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 712 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 713 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 714 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 715 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 716 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 717 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 718 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 719 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 720 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 721 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 722 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 723 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 724 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 725 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 726 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 727 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 728 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 729 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 730 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 731 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 732 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 733 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 734 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 735 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 736 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 737 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 738 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 739 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 740 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 741 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 742 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 743 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 744 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 745 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 746 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 747 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 748 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 749 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 750 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 751 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 752 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 753 |
+
|
| 754 |
+
Wrote /datadrive/ayush/home/minimoX/learning/experiments/learnability/train_policy_only/minimo_0pt/s43/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64/bf_extrinsic-95_final.json
|
| 755 |
+
Solved 27/94 in 2748.4s
|
experiments/learnability/train_policy_only/minimo_0pt/s43/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64/bf_extrinsic-95_mid.json
ADDED
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@@ -0,0 +1,1057 @@
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experiments/learnability/train_policy_only/minimo_0pt/s43/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64/bf_extrinsic-95_mid.log
ADDED
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|
| 1 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 2 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 3 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 4 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 5 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 6 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 7 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 8 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 9 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 10 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 11 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 12 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 13 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 14 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 15 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 16 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 17 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 18 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 19 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 20 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 21 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 22 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 23 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 24 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 25 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 26 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 27 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 28 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 29 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 30 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 31 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 32 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 33 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 34 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 35 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 36 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 37 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 38 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 39 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 40 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 41 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 42 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 43 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 44 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 45 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 46 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 47 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 48 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 49 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 50 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 51 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 52 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 53 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 54 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 55 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 56 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 57 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 58 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 59 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 60 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 61 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 62 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 63 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 64 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 65 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 66 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 67 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 68 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 69 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 70 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 71 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 72 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 73 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 74 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 75 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 76 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 77 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 78 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 79 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 80 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 81 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 82 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 83 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 84 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 85 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 86 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 87 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 88 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 89 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 90 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 91 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 92 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 93 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 94 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 95 |
+
[OK ] extrinsic_L0_1 (solved pops=3 evals=21 maxopen=17)
|
| 96 |
+
[OK ] extrinsic_L0_5 (solved pops=53 evals=321 maxopen=269)
|
| 97 |
+
[OK ] extrinsic_L0_2 (solved pops=55 evals=352 maxopen=298)
|
| 98 |
+
[OK ] extrinsic_L0_3 (solved pops=81 evals=461 maxopen=381)
|
| 99 |
+
[OK ] extrinsic_L0_9 (solved pops=47 evals=324 maxopen=262)
|
| 100 |
+
[OK ] extrinsic_L0_10 (solved pops=8 evals=56 maxopen=49)
|
| 101 |
+
[OK ] extrinsic_L0_8 (solved pops=53 evals=349 maxopen=297)
|
| 102 |
+
[OK ] extrinsic_L0_6 (solved pops=51 evals=316 maxopen=266)
|
| 103 |
+
[OK ] extrinsic_L0_7 (solved pops=55 evals=354 maxopen=300)
|
| 104 |
+
[OK ] extrinsic_L0_12 (solved pops=16 evals=89 maxopen=57)
|
| 105 |
+
[OK ] extrinsic_L0_13 (solved pops=21 evals=167 maxopen=147)
|
| 106 |
+
[OK ] extrinsic_L0_4 (solved pops=214 evals=1162 maxopen=949)
|
| 107 |
+
[OK ] extrinsic_L1_4 (solved pops=17 evals=105 maxopen=87)
|
| 108 |
+
[OK ] extrinsic_L0_11 (solved pops=216 evals=1171 maxopen=956)
|
| 109 |
+
[OK ] extrinsic_L1_1 (solved pops=216 evals=1179 maxopen=946)
|
| 110 |
+
[OK ] extrinsic_L1_2 (solved pops=511 evals=2775 maxopen=2265)
|
| 111 |
+
[OK ] extrinsic_L1_3 (solved pops=511 evals=2772 maxopen=2262)
|
| 112 |
+
[OK ] extrinsic_L2_1 (solved pops=1267 evals=6975 maxopen=5709)
|
| 113 |
+
[OK ] extrinsic_L2_6 (solved pops=1665 evals=9709 maxopen=8045)
|
| 114 |
+
[OK ] extrinsic_L2_7 (solved pops=979 evals=5549 maxopen=4571)
|
| 115 |
+
[OK ] extrinsic_L0_14 (solved pops=3924 evals=25896 maxopen=21973)
|
| 116 |
+
[ ] extrinsic_L2_2 (budget pops=4000 evals=26030 maxopen=22031)
|
| 117 |
+
[ ] extrinsic_L2_3 (budget pops=4000 evals=25892 maxopen=21893)
|
| 118 |
+
[OK ] extrinsic_L2_11 (solved pops=24 evals=177 maxopen=152)
|
| 119 |
+
[ ] extrinsic_L2_4 (budget pops=4000 evals=25885 maxopen=21886)
|
| 120 |
+
[ ] extrinsic_L2_5 (budget pops=4000 evals=25689 maxopen=21690)
|
| 121 |
+
[OK ] extrinsic_L2_9 (solved pops=971 evals=5469 maxopen=4499)
|
| 122 |
+
[OK ] extrinsic_L2_12 (solved pops=1216 evals=6736 maxopen=5521)
|
| 123 |
+
[ ] extrinsic_L2_8 (budget pops=4000 evals=26366 maxopen=22367)
|
| 124 |
+
[ ] extrinsic_L2_10 (budget pops=4000 evals=26159 maxopen=22160)
|
| 125 |
+
[ ] extrinsic_L2_13 (budget pops=4000 evals=25751 maxopen=21752)
|
| 126 |
+
[ ] extrinsic_L3_1 (budget pops=4000 evals=25890 maxopen=21891)
|
| 127 |
+
[ ] extrinsic_L3_2 (budget pops=4000 evals=25724 maxopen=21725)
|
| 128 |
+
[ ] extrinsic_L3_3 (budget pops=4000 evals=25765 maxopen=21766)
|
| 129 |
+
[ ] extrinsic_L3_4 (budget pops=4000 evals=25849 maxopen=21850)
|
| 130 |
+
[ ] extrinsic_L3_5 (budget pops=4000 evals=25842 maxopen=21843)
|
| 131 |
+
[ ] extrinsic_L3_6 (budget pops=4000 evals=25690 maxopen=21691)
|
| 132 |
+
[ ] extrinsic_L3_7 (budget pops=4000 evals=25843 maxopen=21844)
|
| 133 |
+
[ ] extrinsic_L3_8 (budget pops=4000 evals=25997 maxopen=21998)
|
| 134 |
+
[ ] extrinsic_L3_9 (budget pops=4000 evals=26077 maxopen=22078)
|
| 135 |
+
[ ] extrinsic_L3_10 (budget pops=4000 evals=25928 maxopen=21929)
|
| 136 |
+
[ ] extrinsic_L3_11 (budget pops=4000 evals=25861 maxopen=21862)
|
| 137 |
+
[OK ] extrinsic_L3_14 (solved pops=3108 evals=19169 maxopen=16062)
|
| 138 |
+
[OK ] extrinsic_L3_13 (solved pops=3498 evals=22590 maxopen=19093)
|
| 139 |
+
[ ] extrinsic_L3_12 (budget pops=4000 evals=25866 maxopen=21867)
|
| 140 |
+
[ ] extrinsic_L3_15 (budget pops=4000 evals=26017 maxopen=22018)
|
| 141 |
+
[ ] extrinsic_L3_16 (budget pops=4000 evals=26009 maxopen=22010)
|
| 142 |
+
[ ] extrinsic_L3_17 (budget pops=4000 evals=25758 maxopen=21759)
|
| 143 |
+
[ ] extrinsic_L3_18 (budget pops=4000 evals=25576 maxopen=21577)
|
| 144 |
+
[ ] extrinsic_L3_19 (budget pops=4000 evals=25793 maxopen=21794)
|
| 145 |
+
[ ] extrinsic_L3_20 (budget pops=4000 evals=25871 maxopen=21872)
|
| 146 |
+
[ ] extrinsic_L3_21 (budget pops=4000 evals=25881 maxopen=21882)
|
| 147 |
+
[ ] extrinsic_L3_22 (budget pops=4000 evals=25825 maxopen=21826)
|
| 148 |
+
[ ] extrinsic_L3_23 (budget pops=4000 evals=26191 maxopen=22192)
|
| 149 |
+
[ ] extrinsic_L3_24 (budget pops=4000 evals=26160 maxopen=22161)
|
| 150 |
+
[ ] extrinsic_L3_26 (budget pops=4000 evals=26047 maxopen=22048)
|
| 151 |
+
[ ] extrinsic_L3_25 (budget pops=4000 evals=26907 maxopen=22908)
|
| 152 |
+
[ ] extrinsic_L3_27 (budget pops=4000 evals=26054 maxopen=22055)
|
| 153 |
+
[ ] extrinsic_L3_28 (budget pops=4000 evals=25913 maxopen=21914)
|
| 154 |
+
[ ] extrinsic_L4_1 (budget pops=4000 evals=26091 maxopen=22092)
|
| 155 |
+
[ ] extrinsic_L3_29 (budget pops=4000 evals=26713 maxopen=22714)
|
| 156 |
+
[ ] extrinsic_L4_3 (budget pops=4000 evals=25875 maxopen=21876)
|
| 157 |
+
[ ] extrinsic_L4_2 (budget pops=4000 evals=26947 maxopen=22948)
|
| 158 |
+
[ ] extrinsic_L4_4 (budget pops=4000 evals=25805 maxopen=21806)
|
| 159 |
+
[ ] extrinsic_L4_5 (budget pops=4000 evals=26110 maxopen=22111)
|
| 160 |
+
[ ] extrinsic_L4_6 (budget pops=4000 evals=25825 maxopen=21826)
|
| 161 |
+
[ ] extrinsic_L4_7 (budget pops=4000 evals=26759 maxopen=22760)
|
| 162 |
+
[ ] extrinsic_L4_9 (budget pops=4000 evals=26366 maxopen=22367)
|
| 163 |
+
[ ] extrinsic_L4_8 (budget pops=4000 evals=25831 maxopen=21832)
|
| 164 |
+
[OK ] extrinsic_L4_12 (solved pops=1249 evals=7180 maxopen=5929)
|
| 165 |
+
[ ] extrinsic_L4_10 (budget pops=4000 evals=25750 maxopen=21751)
|
| 166 |
+
[ ] extrinsic_L4_11 (budget pops=4000 evals=26316 maxopen=22317)
|
| 167 |
+
[ ] extrinsic_L4_13 (budget pops=4000 evals=25916 maxopen=21917)
|
| 168 |
+
[ ] extrinsic_L4_14 (budget pops=4000 evals=26306 maxopen=22307)
|
| 169 |
+
[ ] extrinsic_L5_1 (budget pops=4000 evals=26000 maxopen=22001)
|
| 170 |
+
[ ] extrinsic_L5_2 (budget pops=4000 evals=26127 maxopen=22128)
|
| 171 |
+
[ ] extrinsic_L5_3 (budget pops=4000 evals=26200 maxopen=22201)
|
| 172 |
+
[ ] extrinsic_L5_4 (budget pops=4000 evals=25999 maxopen=22000)
|
| 173 |
+
[ ] extrinsic_L5_6 (budget pops=4000 evals=26146 maxopen=22147)
|
| 174 |
+
[ ] extrinsic_L5_5 (budget pops=4000 evals=26479 maxopen=22480)
|
| 175 |
+
[ ] extrinsic_L5_7 (budget pops=4000 evals=26276 maxopen=22277)
|
| 176 |
+
[ ] extrinsic_L5_8 (budget pops=4000 evals=26322 maxopen=22323)
|
| 177 |
+
[ ] extrinsic_L5_9 (budget pops=4000 evals=26665 maxopen=22666)
|
| 178 |
+
[ ] extrinsic_L5_10 (budget pops=4000 evals=26566 maxopen=22567)
|
| 179 |
+
[ ] extrinsic_L6_1 (budget pops=4000 evals=25820 maxopen=21821)
|
| 180 |
+
[ ] extrinsic_L5_11 (budget pops=4000 evals=31108 maxopen=27109)
|
| 181 |
+
[ ] extrinsic_L6_2 (budget pops=4000 evals=31119 maxopen=27120)
|
| 182 |
+
[ ] extrinsic_L6_4 (budget pops=4000 evals=30893 maxopen=26894)
|
| 183 |
+
[ ] extrinsic_L6_3 (budget pops=4000 evals=31128 maxopen=27129)
|
| 184 |
+
[ ] extrinsic_L6_5 (budget pops=4000 evals=30855 maxopen=26856)
|
| 185 |
+
[ ] extrinsic_L6_6 (budget pops=4000 evals=25854 maxopen=21855)
|
| 186 |
+
[ ] extrinsic_L6_7 (budget pops=4000 evals=25725 maxopen=21726)
|
| 187 |
+
[ ] extrinsic_L6_9 (budget pops=4000 evals=31110 maxopen=27111)
|
| 188 |
+
[ ] extrinsic_L6_8 (budget pops=4000 evals=31215 maxopen=27216)
|
| 189 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 190 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 191 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 192 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 193 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 194 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 195 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 196 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 197 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 198 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 199 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 200 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 201 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 202 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 203 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 204 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 205 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 206 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 207 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 208 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 209 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 210 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 211 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 212 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 213 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 214 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 215 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 216 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 217 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 218 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 219 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 220 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 221 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 222 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 223 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 224 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 225 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 226 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 227 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 228 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 229 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 230 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 231 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 232 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 233 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 234 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 235 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 236 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 237 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 238 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 239 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 240 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 241 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 242 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 243 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 244 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 245 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 246 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 247 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 248 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 249 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 250 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 251 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 252 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 253 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 254 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 255 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 256 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 257 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 258 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 259 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 260 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 261 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 262 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 263 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 264 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 265 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 266 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 267 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 268 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 269 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 270 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 271 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 272 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 273 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 274 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 275 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 276 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 277 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 278 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 279 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 280 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 281 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 282 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 283 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 284 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 285 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 286 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 287 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 288 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 289 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 290 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 291 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 292 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 293 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 294 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 295 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 296 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 297 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 298 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 299 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 300 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 301 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 302 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 303 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 304 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 305 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 306 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 307 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 308 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 309 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 310 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 311 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 312 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 313 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 314 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 315 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 316 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 317 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 318 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 319 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 320 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 321 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 322 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 323 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 324 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 325 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 326 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 327 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 328 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 329 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 330 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 331 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 332 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 333 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 334 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 335 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 336 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 337 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 338 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 339 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 340 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 341 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 342 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 343 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 344 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 345 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 346 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 347 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 348 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 349 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 350 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 351 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 352 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 353 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 354 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 355 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 356 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 357 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 358 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 359 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 360 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 361 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 362 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 363 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 364 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 365 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 366 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 367 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 368 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 369 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 370 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 371 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 372 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 373 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 374 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 375 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 376 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 377 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 378 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 379 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 380 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 381 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 382 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 383 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 384 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 385 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 386 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 387 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 388 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 389 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 390 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 391 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 392 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 393 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 394 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 395 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 396 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 397 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 398 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 399 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 400 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 401 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 402 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 403 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 404 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 405 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 406 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 407 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 408 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 409 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 410 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 411 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 412 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 413 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 414 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 415 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 416 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 417 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 418 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 419 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 420 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 421 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 422 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 423 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 424 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 425 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 426 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 427 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 428 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 429 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 430 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 431 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 432 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 433 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 434 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 435 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 436 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 437 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 438 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 439 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 440 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 441 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 442 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 443 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 444 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 445 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 446 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 447 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 448 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 449 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 450 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 451 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 452 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 453 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 454 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 455 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 456 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 457 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 458 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 459 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 460 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 461 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 462 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 463 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 464 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 465 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 466 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 467 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 468 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 469 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 470 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 471 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 472 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 473 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 474 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 475 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 476 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 477 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 478 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 479 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 480 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 481 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 482 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 483 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 484 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 485 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 486 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 487 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 488 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 489 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 490 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 491 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 492 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 493 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 494 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 495 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 496 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 497 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 498 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 499 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 500 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 501 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 502 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 503 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 504 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 505 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 506 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 507 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 508 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 509 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 510 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 511 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 512 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 513 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 514 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 515 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 516 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 517 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 518 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 519 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 520 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 521 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 522 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 523 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 524 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 525 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 526 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 527 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 528 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 529 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 530 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 531 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 532 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 533 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 534 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 535 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 536 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 537 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 538 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 539 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 540 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 541 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 542 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 543 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 544 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 545 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 546 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 547 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 548 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 549 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 550 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 551 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 552 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 553 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 554 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 555 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 556 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 557 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 558 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 559 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 560 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 561 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 562 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 563 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 564 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 565 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 566 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 567 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 568 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 569 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 570 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 571 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 572 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 573 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 574 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 575 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 576 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 577 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 578 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 579 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 580 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 581 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 582 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 583 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 584 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 585 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 586 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 587 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 588 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 589 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 590 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 591 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 592 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 593 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 594 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 595 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 596 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 597 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 598 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 599 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 600 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 601 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 602 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 603 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 604 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 605 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 606 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 607 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 608 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 609 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 610 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 611 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 612 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 613 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 614 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 615 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 616 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 617 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 618 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 619 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 620 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 621 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 622 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 623 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 624 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 625 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 626 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 627 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 628 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 629 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 630 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 631 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 632 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 633 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 634 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 635 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 636 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 637 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 638 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 639 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 640 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 641 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 642 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 643 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 644 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 645 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 646 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 647 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 648 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 649 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 650 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 651 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 652 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 653 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 654 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 655 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 656 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 657 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 658 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 659 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 660 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 661 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 662 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 663 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 664 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 665 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 666 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 667 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 668 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 669 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 670 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 671 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 672 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 673 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 674 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 675 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 676 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 677 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 678 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 679 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 680 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 681 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 682 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 683 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 684 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 685 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 686 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 687 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 688 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 689 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 690 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 691 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 692 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 693 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 694 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 695 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 696 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 697 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 698 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 699 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 700 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 701 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 702 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 703 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 704 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 705 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 706 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 707 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 708 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 709 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 710 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 711 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 712 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 713 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 714 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 715 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 716 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 717 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 718 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 719 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 720 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 721 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 722 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 723 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 724 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 725 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 726 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 727 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 728 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 729 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 730 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 731 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 732 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 733 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 734 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 735 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 736 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 737 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 738 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 739 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 740 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 741 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 742 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 743 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 744 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 745 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 746 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 747 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 748 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 749 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 750 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 751 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 752 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 753 |
+
|
| 754 |
+
Wrote /datadrive/ayush/home/minimoX/learning/experiments/learnability/train_policy_only/minimo_0pt/s43/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64/bf_extrinsic-95_mid.json
|
| 755 |
+
Solved 27/94 in 2751.4s
|
experiments/learnability/train_policy_only/minimo_0pt/s43/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64/epoch_1.pt
ADDED
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@@ -0,0 +1,3 @@
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| 1 |
+
version https://git-lfs.github.com/spec/v1
|
| 2 |
+
oid sha256:73095e1e95b8a9a03b7b2418a8d52b3f9d5f65303ce93c7ae2c9c3c8df75937e
|
| 3 |
+
size 318283327
|
experiments/learnability/train_policy_only/minimo_0pt/s43/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64/epoch_2.pt
ADDED
|
@@ -0,0 +1,3 @@
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| 1 |
+
version https://git-lfs.github.com/spec/v1
|
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+
oid sha256:bd9da73675d030e57c171c83df0ec392d9a3809ec12d6da086b102c4c0699eeb
|
| 3 |
+
size 318283327
|
experiments/learnability/train_policy_only/minimo_0pt/s43/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64/rollout_extrinsic-95_final.json
ADDED
|
The diff for this file is too large to render.
See raw diff
|
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|
experiments/learnability/train_policy_only/minimo_0pt/s43/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64/rollout_extrinsic-95_final.log
ADDED
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@@ -0,0 +1,857 @@
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|
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|
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|
|
|
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|
|
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|
|
|
|
|
|
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|
|
|
|
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|
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|
|
|
|
|
|
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|
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|
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|
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|
|
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|
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|
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|
|
|
|
|
|
|
|
|
| 1 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 2 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 3 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 4 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 5 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 6 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 7 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 8 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 9 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 10 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 11 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 12 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 13 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 14 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 15 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 16 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 17 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 18 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 19 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 20 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 21 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 22 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 23 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 24 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 25 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 26 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 27 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 28 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 29 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 30 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 31 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 32 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 33 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 34 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 35 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 36 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 37 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 38 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 39 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 40 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 41 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 42 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 43 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 44 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 45 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 46 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 47 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 48 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 49 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 50 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 51 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 52 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 53 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 54 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 55 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 56 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 57 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 58 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 59 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 60 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 61 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 62 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 63 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 64 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 65 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 66 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 67 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 68 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 69 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 70 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 71 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 72 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 73 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 74 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 75 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 76 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 77 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 78 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 79 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 80 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 81 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 82 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 83 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 84 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 85 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 86 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 87 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 88 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 89 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 90 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 91 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 92 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 93 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 94 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 95 |
+
[ ] - extrinsic_L0_3 (traces=17 evals=17468)
|
| 96 |
+
[ ] - extrinsic_L0_4 (traces=17 evals=26328)
|
| 97 |
+
[ ] - extrinsic_L0_5 (traces=17 evals=33165)
|
| 98 |
+
[ ] - extrinsic_L0_1 (traces=8 evals=14103)
|
| 99 |
+
[ ] - extrinsic_L0_2 (traces=15 evals=32920)
|
| 100 |
+
[ ] - extrinsic_L0_6 (traces=14 evals=24865)
|
| 101 |
+
[OK ] - extrinsic_L0_10 (traces=5 evals=3606)
|
| 102 |
+
[ ] - extrinsic_L0_7 (traces=17 evals=18890)
|
| 103 |
+
[ ] - extrinsic_L0_8 (traces=17 evals=25269)
|
| 104 |
+
[ ] - extrinsic_L0_9 (traces=15 evals=30330)
|
| 105 |
+
[ ] - extrinsic_L0_11 (traces=14 evals=26718)
|
| 106 |
+
[ ] - extrinsic_L0_12 (traces=15 evals=27563)
|
| 107 |
+
[ ] - extrinsic_L0_13 (traces=14 evals=39559)
|
| 108 |
+
[ ] - extrinsic_L0_14 (traces=6 evals=26670)
|
| 109 |
+
|
| 110 |
+
thread '<unnamed>' (641618) panicked at src/universe/term.rs:851:75:
|
| 111 |
+
mid > len
|
| 112 |
+
note: run with `RUST_BACKTRACE=1` environment variable to display a backtrace
|
| 113 |
+
[ ] - extrinsic_L1_1 (traces=17 evals=27112)
|
| 114 |
+
|
| 115 |
+
thread '<unnamed>' (641618) panicked at src/universe/term.rs:851:75:
|
| 116 |
+
mid > len
|
| 117 |
+
[ ] - extrinsic_L1_2 (traces=10 evals=15783)
|
| 118 |
+
|
| 119 |
+
thread '<unnamed>' (641613) panicked at src/universe/term.rs:851:75:
|
| 120 |
+
mid > len
|
| 121 |
+
note: run with `RUST_BACKTRACE=1` environment variable to display a backtrace
|
| 122 |
+
|
| 123 |
+
thread '<unnamed>' (641613) panicked at src/universe/term.rs:851:75:
|
| 124 |
+
mid > len
|
| 125 |
+
[ ] - extrinsic_L1_3 (traces=13 evals=25023)
|
| 126 |
+
|
| 127 |
+
thread '<unnamed>' (641617) panicked at src/universe/term.rs:851:75:
|
| 128 |
+
mid > len
|
| 129 |
+
note: run with `RUST_BACKTRACE=1` environment variable to display a backtrace
|
| 130 |
+
[ ] - extrinsic_L1_4 (traces=13 evals=25885)
|
| 131 |
+
|
| 132 |
+
thread '<unnamed>' (641617) panicked at src/universe/term.rs:851:75:
|
| 133 |
+
mid > len
|
| 134 |
+
[ ] - extrinsic_L2_1 (traces=17 evals=33949)
|
| 135 |
+
[ ] - extrinsic_L2_2 (traces=15 evals=25764)
|
| 136 |
+
[ ] - extrinsic_L2_3 (traces=17 evals=29357)
|
| 137 |
+
|
| 138 |
+
thread '<unnamed>' (641613) panicked at src/universe/term.rs:851:75:
|
| 139 |
+
mid > len
|
| 140 |
+
|
| 141 |
+
thread '<unnamed>' (641613) panicked at src/universe/term.rs:851:75:
|
| 142 |
+
mid > len
|
| 143 |
+
[ ] - extrinsic_L2_7 (traces=17 evals=16619)
|
| 144 |
+
|
| 145 |
+
thread '<unnamed>' (641618) panicked at src/universe/term.rs:851:75:
|
| 146 |
+
mid > len
|
| 147 |
+
|
| 148 |
+
thread '<unnamed>' (641618) panicked at src/universe/term.rs:851:75:
|
| 149 |
+
mid > len
|
| 150 |
+
[ ] - extrinsic_L2_4 (traces=17 evals=11809)
|
| 151 |
+
[ ] - extrinsic_L2_5 (traces=15 evals=28023)
|
| 152 |
+
[ ] - extrinsic_L2_6 (traces=15 evals=16621)
|
| 153 |
+
[ ] - extrinsic_L2_8 (traces=15 evals=17982)
|
| 154 |
+
[ ] - extrinsic_L2_9 (traces=10 evals=16911)
|
| 155 |
+
|
| 156 |
+
thread '<unnamed>' (641619) panicked at src/universe/term.rs:851:75:
|
| 157 |
+
mid > len
|
| 158 |
+
note: run with `RUST_BACKTRACE=1` environment variable to display a backtrace
|
| 159 |
+
|
| 160 |
+
thread '<unnamed>' (641619) panicked at src/universe/term.rs:851:75:
|
| 161 |
+
mid > len
|
| 162 |
+
|
| 163 |
+
thread '<unnamed>' (641619) panicked at src/universe/term.rs:851:75:
|
| 164 |
+
mid > len
|
| 165 |
+
|
| 166 |
+
thread '<unnamed>' (641619) panicked at src/universe/term.rs:851:75:
|
| 167 |
+
mid > len
|
| 168 |
+
[ ] - extrinsic_L2_10 (traces=17 evals=19538)
|
| 169 |
+
|
| 170 |
+
thread '<unnamed>' (641620) panicked at src/universe/term.rs:851:75:
|
| 171 |
+
mid > len
|
| 172 |
+
note: run with `RUST_BACKTRACE=1` environment variable to display a backtrace
|
| 173 |
+
[ ] - extrinsic_L2_11 (traces=14 evals=28861)
|
| 174 |
+
|
| 175 |
+
thread '<unnamed>' (641620) panicked at src/universe/term.rs:851:75:
|
| 176 |
+
mid > len
|
| 177 |
+
[ ] - extrinsic_L2_12 (traces=14 evals=20923)
|
| 178 |
+
[ ] - extrinsic_L2_13 (traces=14 evals=26441)
|
| 179 |
+
[ ] - extrinsic_L3_1 (traces=14 evals=20190)
|
| 180 |
+
[ ] - extrinsic_L3_2 (traces=11 evals=8024)
|
| 181 |
+
|
| 182 |
+
thread '<unnamed>' (641613) panicked at src/universe/term.rs:851:75:
|
| 183 |
+
mid > len
|
| 184 |
+
|
| 185 |
+
thread '<unnamed>' (641613) panicked at src/universe/term.rs:851:75:
|
| 186 |
+
mid > len
|
| 187 |
+
[ ] - extrinsic_L3_3 (traces=11 evals=14171)
|
| 188 |
+
[ ] - extrinsic_L3_4 (traces=14 evals=20668)
|
| 189 |
+
[ ] - extrinsic_L3_5 (traces=17 evals=23789)
|
| 190 |
+
[ ] - extrinsic_L3_6 (traces=17 evals=31451)
|
| 191 |
+
|
| 192 |
+
thread '<unnamed>' (641616) panicked at src/universe/term.rs:851:75:
|
| 193 |
+
mid > len
|
| 194 |
+
note: run with `RUST_BACKTRACE=1` environment variable to display a backtrace
|
| 195 |
+
|
| 196 |
+
thread '<unnamed>' (641616) panicked at src/universe/term.rs:851:75:
|
| 197 |
+
mid > len
|
| 198 |
+
[ ] - extrinsic_L3_7 (traces=17 evals=24278)
|
| 199 |
+
[ ] - extrinsic_L3_8 (traces=17 evals=28826)
|
| 200 |
+
[ ] - extrinsic_L3_12 (traces=17 evals=13054)
|
| 201 |
+
[ ] - extrinsic_L3_11 (traces=17 evals=22712)
|
| 202 |
+
[ ] - extrinsic_L3_9 (traces=14 evals=22292)
|
| 203 |
+
[ ] - extrinsic_L3_10 (traces=12 evals=14762)
|
| 204 |
+
[ ] - extrinsic_L3_14 (traces=17 evals=12940)
|
| 205 |
+
[ ] - extrinsic_L3_13 (traces=17 evals=23922)
|
| 206 |
+
[ ] - extrinsic_L3_15 (traces=13 evals=24137)
|
| 207 |
+
[ ] - extrinsic_L3_16 (traces=12 evals=20341)
|
| 208 |
+
[ ] - extrinsic_L3_17 (traces=16 evals=29903)
|
| 209 |
+
[ ] - extrinsic_L3_19 (traces=10 evals=8509)
|
| 210 |
+
[ ] - extrinsic_L3_18 (traces=17 evals=25211)
|
| 211 |
+
[ ] - extrinsic_L3_20 (traces=13 evals=28468)
|
| 212 |
+
[ ] - extrinsic_L3_25 (traces=17 evals=12456)
|
| 213 |
+
[ ] - extrinsic_L3_23 (traces=17 evals=20322)
|
| 214 |
+
[ ] - extrinsic_L3_21 (traces=17 evals=16636)
|
| 215 |
+
[ ] - extrinsic_L3_22 (traces=15 evals=28074)
|
| 216 |
+
[ ] - extrinsic_L3_24 (traces=17 evals=27131)
|
| 217 |
+
[ ] - extrinsic_L3_27 (traces=17 evals=22169)
|
| 218 |
+
[ ] - extrinsic_L3_26 (traces=13 evals=26364)
|
| 219 |
+
|
| 220 |
+
thread '<unnamed>' (641620) panicked at src/universe/term.rs:851:75:
|
| 221 |
+
mid > len
|
| 222 |
+
[ ] - extrinsic_L3_28 (traces=6 evals=10338)
|
| 223 |
+
[ ] - extrinsic_L3_29 (traces=13 evals=21458)
|
| 224 |
+
[ ] - extrinsic_L4_1 (traces=17 evals=22940)
|
| 225 |
+
[ ] - extrinsic_L4_2 (traces=14 evals=29056)
|
| 226 |
+
[ ] - extrinsic_L4_3 (traces=15 evals=30105)
|
| 227 |
+
[ ] - extrinsic_L4_6 (traces=17 evals=24703)
|
| 228 |
+
[ ] - extrinsic_L4_4 (traces=13 evals=24738)
|
| 229 |
+
[ ] - extrinsic_L4_5 (traces=14 evals=28608)
|
| 230 |
+
[ ] - extrinsic_L4_7 (traces=13 evals=30565)
|
| 231 |
+
[ ] - extrinsic_L4_8 (traces=13 evals=27467)
|
| 232 |
+
|
| 233 |
+
thread '<unnamed>' (641619) panicked at src/universe/term.rs:851:75:
|
| 234 |
+
mid > len
|
| 235 |
+
|
| 236 |
+
thread '<unnamed>' (641619) panicked at src/universe/term.rs:851:75:
|
| 237 |
+
mid > len
|
| 238 |
+
[ ] - extrinsic_L4_9 (traces=17 evals=39896)
|
| 239 |
+
[ ] - extrinsic_L4_10 (traces=14 evals=29847)
|
| 240 |
+
[ ] - extrinsic_L4_11 (traces=14 evals=21127)
|
| 241 |
+
|
| 242 |
+
thread '<unnamed>' (641619) panicked at src/universe/term.rs:851:75:
|
| 243 |
+
mid > len
|
| 244 |
+
|
| 245 |
+
thread '<unnamed>' (641619) panicked at src/universe/term.rs:851:75:
|
| 246 |
+
mid > len
|
| 247 |
+
|
| 248 |
+
thread '<unnamed>' (641613) panicked at src/universe/term.rs:851:75:
|
| 249 |
+
mid > len
|
| 250 |
+
[ ] - extrinsic_L4_12 (traces=15 evals=22444)
|
| 251 |
+
[ ] - extrinsic_L4_14 (traces=17 evals=15336)
|
| 252 |
+
[ ] - extrinsic_L4_13 (traces=15 evals=28156)
|
| 253 |
+
[ ] - extrinsic_L5_2 (traces=17 evals=26111)
|
| 254 |
+
[ ] - extrinsic_L5_1 (traces=8 evals=13447)
|
| 255 |
+
[ ] - extrinsic_L5_3 (traces=17 evals=19103)
|
| 256 |
+
[ ] - extrinsic_L5_4 (traces=15 evals=24550)
|
| 257 |
+
[ ] - extrinsic_L5_5 (traces=14 evals=12223)
|
| 258 |
+
[ ] - extrinsic_L5_6 (traces=14 evals=32235)
|
| 259 |
+
[ ] - extrinsic_L5_7 (traces=10 evals=24275)
|
| 260 |
+
|
| 261 |
+
thread '<unnamed>' (641617) panicked at src/universe/term.rs:851:75:
|
| 262 |
+
mid > len
|
| 263 |
+
|
| 264 |
+
thread '<unnamed>' (641617) panicked at src/universe/term.rs:851:75:
|
| 265 |
+
mid > len
|
| 266 |
+
|
| 267 |
+
thread '<unnamed>' (641617) panicked at src/universe/term.rs:851:75:
|
| 268 |
+
mid > len
|
| 269 |
+
[ ] - extrinsic_L5_9 (traces=13 evals=19324)
|
| 270 |
+
[ ] - extrinsic_L5_8 (traces=8 evals=14718)
|
| 271 |
+
[ ] - extrinsic_L5_10 (traces=17 evals=19236)
|
| 272 |
+
[ ] - extrinsic_L6_1 (traces=7 evals=12250)
|
| 273 |
+
[ ] - extrinsic_L5_11 (traces=8 evals=134377)
|
| 274 |
+
[ ] - extrinsic_L6_2 (traces=8 evals=31384)
|
| 275 |
+
|
| 276 |
+
thread '<unnamed>' (641618) panicked at src/universe/term.rs:851:75:
|
| 277 |
+
mid > len
|
| 278 |
+
|
| 279 |
+
thread '<unnamed>' (641618) panicked at src/universe/term.rs:851:75:
|
| 280 |
+
mid > len
|
| 281 |
+
|
| 282 |
+
thread '<unnamed>' (641619) panicked at src/universe/term.rs:851:75:
|
| 283 |
+
mid > len
|
| 284 |
+
[ ] - extrinsic_L6_4 (traces=13 evals=33518)
|
| 285 |
+
[ ] - extrinsic_L6_6 (traces=17 evals=16891)
|
| 286 |
+
[ ] - extrinsic_L6_5 (traces=15 evals=20183)
|
| 287 |
+
[ ] - extrinsic_L6_8 (traces=17 evals=20637)
|
| 288 |
+
[ ] - extrinsic_L6_7 (traces=17 evals=22722)
|
| 289 |
+
[ ] - extrinsic_L6_9 (traces=9 evals=54789)
|
| 290 |
+
[ ] - extrinsic_L6_3 (traces=3 evals=62457)
|
| 291 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 292 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 293 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 294 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 295 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 296 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 297 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 298 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 299 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 300 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 301 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 302 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 303 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 304 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 305 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 306 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 307 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 308 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 309 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 310 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 311 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 312 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 313 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 314 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 315 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 316 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 317 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 318 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 319 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 320 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 321 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 322 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 323 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 324 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 325 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 326 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 327 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 328 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 329 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 330 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 331 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 332 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 333 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 334 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 335 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 336 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 337 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 338 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 339 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 340 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 341 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 342 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 343 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 344 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 345 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 346 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 347 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 348 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 349 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 350 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 351 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 352 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 353 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 354 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 355 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 356 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 357 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 358 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 359 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 360 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 361 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 362 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 363 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 364 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 365 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 366 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 367 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 368 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 369 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 370 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 371 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 372 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 373 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 374 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 375 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 376 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 377 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 378 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 379 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 380 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 381 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 382 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 383 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 384 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 385 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 386 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 387 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 388 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 389 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 390 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 391 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 392 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 393 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 394 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 395 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 396 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 397 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 398 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 399 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 400 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 401 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 402 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 403 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 404 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 405 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 406 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 407 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 408 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 409 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 410 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 411 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 412 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 413 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 414 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 415 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 416 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 417 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 418 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 419 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 420 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 421 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 422 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 423 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 424 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 425 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 426 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 427 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 428 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 429 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 430 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 431 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 432 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 433 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 434 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 435 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 436 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 437 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 438 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 439 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 440 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 441 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 442 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 443 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 444 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 445 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 446 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 447 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 448 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 449 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 450 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 451 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 452 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 453 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 454 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 455 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 456 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 457 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 458 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 459 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 460 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 461 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 462 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 463 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 464 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 465 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 466 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 467 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 468 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 469 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 470 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 471 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 472 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 473 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 474 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 475 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 476 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 477 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 478 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 479 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 480 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 481 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 482 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 483 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 484 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 485 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 486 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 487 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 488 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 489 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 490 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 491 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 492 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 493 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 494 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 495 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 496 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 497 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 498 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 499 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 500 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 501 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 502 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 503 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 504 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 505 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 506 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 507 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 508 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 509 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 510 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 511 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 512 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 513 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 514 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 515 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 516 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 517 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 518 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 519 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 520 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 521 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 522 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 523 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 524 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 525 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 526 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 527 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 528 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 529 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 530 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 531 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 532 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 533 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 534 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 535 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 536 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 537 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 538 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 539 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 540 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 541 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 542 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 543 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 544 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 545 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 546 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 547 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 548 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 549 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 550 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 551 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 552 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 553 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 554 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 555 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 556 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 557 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 558 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 559 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 560 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 561 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 562 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 563 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 564 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 565 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 566 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 567 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 568 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 569 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 570 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 571 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 572 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 573 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 574 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 575 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 576 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 577 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 578 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 579 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 580 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 581 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 582 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 583 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 584 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 585 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 586 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 587 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 588 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 589 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 590 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 591 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 592 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 593 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 594 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 595 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 596 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 597 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 598 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 599 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 600 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 601 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 602 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 603 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 604 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 605 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 606 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 607 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 608 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 609 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 610 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 611 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 612 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 613 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 614 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 615 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 616 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 617 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 618 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 619 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 620 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 621 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 622 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 623 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 624 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 625 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 626 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 627 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 628 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 629 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 630 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 631 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 632 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 633 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 634 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 635 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 636 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 637 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 638 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 639 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 640 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 641 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 642 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 643 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 644 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 645 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 646 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 647 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 648 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 649 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 650 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 651 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 652 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 653 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 654 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 655 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 656 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 657 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 658 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 659 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 660 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 661 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 662 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 663 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 664 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 665 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 666 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 667 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 668 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 669 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 670 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 671 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 672 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 673 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 674 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 675 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 676 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 677 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 678 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 679 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 680 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 681 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 682 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 683 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 684 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 685 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 686 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 687 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 688 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 689 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 690 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 691 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 692 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 693 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 694 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 695 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 696 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 697 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 698 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 699 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 700 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 701 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 702 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 703 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 704 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 705 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 706 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 707 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 708 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 709 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 710 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 711 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 712 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 713 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 714 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 715 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 716 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 717 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 718 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 719 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 720 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 721 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 722 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 723 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 724 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 725 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 726 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 727 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 728 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 729 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 730 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 731 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 732 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 733 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 734 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 735 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 736 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 737 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 738 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 739 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 740 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 741 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 742 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 743 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 744 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 745 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 746 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 747 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 748 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 749 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 750 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 751 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 752 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 753 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 754 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 755 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 756 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 757 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 758 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 759 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 760 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 761 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 762 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 763 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 764 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 765 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 766 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 767 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 768 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 769 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 770 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 771 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 772 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 773 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 774 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 775 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 776 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 777 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 778 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 779 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 780 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 781 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 782 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 783 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 784 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 785 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 786 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 787 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 788 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 789 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 790 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 791 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 792 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 793 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 794 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 795 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 796 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 797 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 798 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 799 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 800 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 801 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 802 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 803 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 804 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 805 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 806 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 807 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 808 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 809 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 810 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 811 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 812 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 813 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 814 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 815 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 816 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 817 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 818 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 819 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 820 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 821 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 822 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 823 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 824 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 825 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 826 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 827 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 828 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 829 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 830 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 831 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 832 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 833 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 834 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 835 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 836 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 837 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 838 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 839 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 840 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 841 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 842 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 843 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 844 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 845 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 846 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 847 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 848 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 849 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 850 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 851 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 852 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 853 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 854 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 855 |
+
|
| 856 |
+
Wrote /datadrive/ayush/home/minimoX/learning/experiments/learnability/train_policy_only/minimo_0pt/s43/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64/rollout_extrinsic-95_final.json
|
| 857 |
+
Solved 1/94 in 9474.0s
|
experiments/learnability/train_policy_only/minimo_0pt/s43/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64/rollout_extrinsic-95_mid.log
ADDED
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|
|
|
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|
|
|
|
|
|
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|
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|
|
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|
|
|
|
|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
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|
|
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|
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|
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|
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|
|
|
|
|
|
|
|
|
| 1 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 2 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 3 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 4 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 5 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 6 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 7 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 8 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 9 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 10 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 11 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 12 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 13 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 14 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 15 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 16 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 17 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 18 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 19 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 20 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 21 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 22 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 23 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 24 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 25 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 26 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 27 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 28 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 29 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 30 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 31 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 32 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 33 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 34 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 35 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 36 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 37 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 38 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 39 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 40 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 41 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 42 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 43 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 44 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 45 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 46 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 47 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 48 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 49 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 50 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 51 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 52 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 53 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 54 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 55 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 56 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 57 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 58 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 59 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 60 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 61 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 62 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 63 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 64 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 65 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 66 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 67 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 68 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 69 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 70 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 71 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 72 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 73 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 74 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 75 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 76 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 77 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 78 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 79 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 80 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 81 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 82 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 83 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 84 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 85 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 86 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 87 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 88 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 89 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 90 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 91 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 92 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 93 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 94 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 95 |
+
[ ] - extrinsic_L0_3 (traces=17 evals=16983)
|
| 96 |
+
[ ] - extrinsic_L0_1 (traces=17 evals=24092)
|
| 97 |
+
[ ] - extrinsic_L0_4 (traces=17 evals=28357)
|
| 98 |
+
[ ] - extrinsic_L0_2 (traces=17 evals=29752)
|
| 99 |
+
[ ] - extrinsic_L0_5 (traces=17 evals=33176)
|
| 100 |
+
[ ] - extrinsic_L0_6 (traces=14 evals=38101)
|
| 101 |
+
[OK ] - extrinsic_L0_10 (traces=5 evals=2759)
|
| 102 |
+
[ ] - extrinsic_L0_7 (traces=17 evals=17761)
|
| 103 |
+
[ ] - extrinsic_L0_8 (traces=17 evals=23140)
|
| 104 |
+
[ ] - extrinsic_L0_11 (traces=17 evals=27159)
|
| 105 |
+
[ ] - extrinsic_L0_9 (traces=13 evals=25433)
|
| 106 |
+
[ ] - extrinsic_L0_12 (traces=17 evals=26007)
|
| 107 |
+
[ ] - extrinsic_L0_13 (traces=11 evals=27934)
|
| 108 |
+
[ ] - extrinsic_L0_14 (traces=17 evals=24756)
|
| 109 |
+
[ ] - extrinsic_L1_2 (traces=17 evals=14665)
|
| 110 |
+
[ ] - extrinsic_L1_3 (traces=17 evals=20667)
|
| 111 |
+
[ ] - extrinsic_L1_1 (traces=17 evals=24701)
|
| 112 |
+
[ ] - extrinsic_L2_1 (traces=17 evals=21921)
|
| 113 |
+
[ ] - extrinsic_L1_4 (traces=15 evals=26322)
|
| 114 |
+
[ ] - extrinsic_L2_2 (traces=10 evals=17657)
|
| 115 |
+
[ ] - extrinsic_L2_4 (traces=17 evals=20561)
|
| 116 |
+
[ ] - extrinsic_L2_3 (traces=16 evals=18800)
|
| 117 |
+
|
| 118 |
+
thread '<unnamed>' (924242) panicked at src/universe/term.rs:851:75:
|
| 119 |
+
mid > len
|
| 120 |
+
note: run with `RUST_BACKTRACE=1` environment variable to display a backtrace
|
| 121 |
+
[ ] - extrinsic_L2_5 (traces=15 evals=25025)
|
| 122 |
+
[ ] - extrinsic_L2_6 (traces=16 evals=27272)
|
| 123 |
+
[ ] - extrinsic_L2_7 (traces=17 evals=38208)
|
| 124 |
+
[ ] - extrinsic_L2_9 (traces=17 evals=18208)
|
| 125 |
+
[ ] - extrinsic_L2_8 (traces=16 evals=24102)
|
| 126 |
+
[ ] - extrinsic_L2_10 (traces=12 evals=24565)
|
| 127 |
+
[ ] - extrinsic_L2_11 (traces=17 evals=25759)
|
| 128 |
+
[ ] - extrinsic_L2_12 (traces=12 evals=17512)
|
| 129 |
+
[ ] - extrinsic_L2_13 (traces=13 evals=23544)
|
| 130 |
+
[ ] - extrinsic_L3_1 (traces=8 evals=5593)
|
| 131 |
+
[ ] - extrinsic_L3_2 (traces=15 evals=38367)
|
| 132 |
+
[ ] - extrinsic_L3_3 (traces=15 evals=26138)
|
| 133 |
+
[ ] - extrinsic_L3_6 (traces=17 evals=22848)
|
| 134 |
+
[ ] - extrinsic_L3_4 (traces=13 evals=25676)
|
| 135 |
+
[ ] - extrinsic_L3_5 (traces=17 evals=26556)
|
| 136 |
+
[ ] - extrinsic_L3_7 (traces=17 evals=19759)
|
| 137 |
+
[ ] - extrinsic_L3_8 (traces=17 evals=19802)
|
| 138 |
+
[ ] - extrinsic_L3_9 (traces=17 evals=29064)
|
| 139 |
+
[ ] - extrinsic_L3_11 (traces=17 evals=26500)
|
| 140 |
+
[ ] - extrinsic_L3_12 (traces=17 evals=19253)
|
| 141 |
+
[ ] - extrinsic_L3_10 (traces=12 evals=29304)
|
| 142 |
+
[ ] - extrinsic_L3_13 (traces=17 evals=28131)
|
| 143 |
+
|
| 144 |
+
thread '<unnamed>' (924243) panicked at src/universe/term.rs:851:75:
|
| 145 |
+
mid > len
|
| 146 |
+
note: run with `RUST_BACKTRACE=1` environment variable to display a backtrace
|
| 147 |
+
[ ] - extrinsic_L3_16 (traces=17 evals=20646)
|
| 148 |
+
[ ] - extrinsic_L3_14 (traces=15 evals=23906)
|
| 149 |
+
[ ] - extrinsic_L3_15 (traces=13 evals=27193)
|
| 150 |
+
[ ] - extrinsic_L3_17 (traces=13 evals=33214)
|
| 151 |
+
[ ] - extrinsic_L3_18 (traces=17 evals=23161)
|
| 152 |
+
[ ] - extrinsic_L3_19 (traces=17 evals=23849)
|
| 153 |
+
[ ] - extrinsic_L3_20 (traces=14 evals=30658)
|
| 154 |
+
[ ] - extrinsic_L3_21 (traces=8 evals=17834)
|
| 155 |
+
[ ] - extrinsic_L3_22 (traces=14 evals=23593)
|
| 156 |
+
[ ] - extrinsic_L3_24 (traces=17 evals=27248)
|
| 157 |
+
[ ] - extrinsic_L3_23 (traces=11 evals=19272)
|
| 158 |
+
[ ] - extrinsic_L3_25 (traces=17 evals=25297)
|
| 159 |
+
[ ] - extrinsic_L3_28 (traces=17 evals=15333)
|
| 160 |
+
|
| 161 |
+
thread '<unnamed>' (924244) panicked at src/universe/term.rs:851:75:
|
| 162 |
+
mid > len
|
| 163 |
+
note: run with `RUST_BACKTRACE=1` environment variable to display a backtrace
|
| 164 |
+
[ ] - extrinsic_L3_27 (traces=15 evals=29349)
|
| 165 |
+
[ ] - extrinsic_L3_26 (traces=4 evals=7442)
|
| 166 |
+
[ ] - extrinsic_L3_29 (traces=11 evals=15777)
|
| 167 |
+
[ ] - extrinsic_L4_1 (traces=15 evals=19399)
|
| 168 |
+
|
| 169 |
+
thread '<unnamed>' (924241) panicked at src/universe/term.rs:851:75:
|
| 170 |
+
mid > len
|
| 171 |
+
note: run with `RUST_BACKTRACE=1` environment variable to display a backtrace
|
| 172 |
+
[ ] - extrinsic_L4_2 (traces=17 evals=24335)
|
| 173 |
+
[ ] - extrinsic_L4_3 (traces=17 evals=26881)
|
| 174 |
+
[ ] - extrinsic_L4_5 (traces=17 evals=32550)
|
| 175 |
+
[ ] - extrinsic_L4_6 (traces=17 evals=24300)
|
| 176 |
+
[ ] - extrinsic_L4_4 (traces=14 evals=22777)
|
| 177 |
+
[ ] - extrinsic_L4_7 (traces=15 evals=22386)
|
| 178 |
+
[ ] - extrinsic_L4_9 (traces=17 evals=15327)
|
| 179 |
+
[ ] - extrinsic_L4_8 (traces=13 evals=26824)
|
| 180 |
+
[ ] - extrinsic_L4_10 (traces=17 evals=24277)
|
| 181 |
+
[ ] - extrinsic_L4_11 (traces=12 evals=20666)
|
| 182 |
+
|
| 183 |
+
thread '<unnamed>' (924240) panicked at src/universe/term.rs:851:75:
|
| 184 |
+
mid > len
|
| 185 |
+
note: run with `RUST_BACKTRACE=1` environment variable to display a backtrace
|
| 186 |
+
[ ] - extrinsic_L4_12 (traces=17 evals=28269)
|
| 187 |
+
[ ] - extrinsic_L4_14 (traces=17 evals=19413)
|
| 188 |
+
[ ] - extrinsic_L4_13 (traces=14 evals=27560)
|
| 189 |
+
[ ] - extrinsic_L5_1 (traces=15 evals=28487)
|
| 190 |
+
[ ] - extrinsic_L5_2 (traces=12 evals=25008)
|
| 191 |
+
[ ] - extrinsic_L5_3 (traces=17 evals=23071)
|
| 192 |
+
[ ] - extrinsic_L5_4 (traces=15 evals=28678)
|
| 193 |
+
[ ] - extrinsic_L5_6 (traces=17 evals=27319)
|
| 194 |
+
[ ] - extrinsic_L5_7 (traces=3 evals=25819)
|
| 195 |
+
[ ] - extrinsic_L5_8 (traces=11 evals=26584)
|
| 196 |
+
[ ] - extrinsic_L5_5 (traces=1 evals=608)
|
| 197 |
+
[ ] - extrinsic_L5_9 (traces=15 evals=30147)
|
| 198 |
+
[ ] - extrinsic_L5_10 (traces=3 evals=18367)
|
| 199 |
+
[ ] - extrinsic_L5_11 (traces=8 evals=51016)
|
| 200 |
+
[ ] - extrinsic_L6_1 (traces=17 evals=17707)
|
| 201 |
+
[ ] - extrinsic_L6_2 (traces=17 evals=20689)
|
experiments/learnability/train_policy_only/minimo_0pt/s43/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64/train_stats.json
ADDED
|
@@ -0,0 +1,3 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
{
|
| 2 |
+
"total_gradient_steps": 50
|
| 3 |
+
}
|
experiments/learnability/train_policy_only/minimo_0pt/s43/train.log
ADDED
|
@@ -0,0 +1,40 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
wandb: WARNING Using a boolean value for 'reinit' is deprecated. Use 'return_previous' or 'finish_previous' instead.
|
| 2 |
+
wandb: Tracking run with wandb version 0.24.0
|
| 3 |
+
wandb: W&B syncing is set to `offline` in this directory. Run `wandb online` or set WANDB_MODE=online to enable cloud syncing.
|
| 4 |
+
wandb: Run data is saved locally in /datadrive/ayush/home/minimoX/learning/wandb/offline-run-20260628_052958-svhdp7dy
|
| 5 |
+
[2026-06-28T05:29:55.270533] Seeded RNGs with seed=43
|
| 6 |
+
[2026-06-28T05:29:55.270820] Loading checkpoint from /datadrive/ayush/home/minimoX/learning/outputs/bootstrap_bs_800_para/2026-03-12_23-41-21/0.pt
|
| 7 |
+
[2026-06-28T05:29:58.588605] Loading examples from /datadrive/ayush/home/minimoX/learning/experiments/learnability/minimo_0pt/examples_policy_only.json
|
| 8 |
+
1567 training examples loaded.
|
| 9 |
+
|
| 10 |
+
============================================================
|
| 11 |
+
[2026-06-28T05:29:58.590957] Starting ablation: updates_0_epoch_2ep_bs64 (mode=epoch)
|
| 12 |
+
n_steps=8000, batch_size=64, lr=None
|
| 13 |
+
output -> /datadrive/ayush/home/minimoX/learning/experiments/learnability/train_policy_only/minimo_0pt/s43/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64
|
| 14 |
+
============================================================
|
| 15 |
+
Dedup: 1567 -> 1567 unique examples
|
| 16 |
+
|
| 17 |
+
|
| 18 |
+
[2026-06-28T05:30:04.269840] Saved checkpoint at epoch 1 -> /datadrive/ayush/home/minimoX/learning/experiments/learnability/train_policy_only/minimo_0pt/s43/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64/epoch_1.pt
|
| 19 |
+
|
| 20 |
+
wandb:
|
| 21 |
+
wandb: Run history:
|
| 22 |
+
wandb: epoch ▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁████████████████████
|
| 23 |
+
wandb: train_loss █▆▅▄▃▃▃▃▃▂▂▂▂▂▂▂▁▁▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
|
| 24 |
+
wandb:
|
| 25 |
+
wandb: Run summary:
|
| 26 |
+
wandb: epoch 2
|
| 27 |
+
wandb: train_loss 0.7858
|
| 28 |
+
wandb:
|
| 29 |
+
wandb: You can sync this run to the cloud by running:
|
| 30 |
+
wandb: wandb sync /datadrive/ayush/home/minimoX/learning/wandb/offline-run-20260628_052958-svhdp7dy
|
| 31 |
+
wandb: Find logs at: ./wandb/offline-run-20260628_052958-svhdp7dy/logs
|
| 32 |
+
[2026-06-28T05:30:09.082063] Saved checkpoint at epoch 2 -> /datadrive/ayush/home/minimoX/learning/experiments/learnability/train_policy_only/minimo_0pt/s43/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64/epoch_2.pt
|
| 33 |
+
Done: 2 epoch(s), 50 total steps, 1567 unique examples (batch_size=64)
|
| 34 |
+
[2026-06-28T05:30:09.268462] Saved trained agent to /datadrive/ayush/home/minimoX/learning/experiments/learnability/train_policy_only/minimo_0pt/s43/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64/1.pt
|
| 35 |
+
|
| 36 |
+
============================================================
|
| 37 |
+
[2026-06-28T05:30:09.276070] All ablations complete.
|
| 38 |
+
============================================================
|
| 39 |
+
Summary saved to /datadrive/ayush/home/minimoX/learning/experiments/learnability/train_policy_only/minimo_0pt/s43/2026-06-28_05-29-55/summary.json
|
| 40 |
+
updates_0_epoch_2ep_bs64: {'path': '/datadrive/ayush/home/minimoX/learning/experiments/learnability/train_policy_only/minimo_0pt/s43/2026-06-28_05-29-55/updates_0_epoch_2ep_bs64/1.pt', 'total_gradient_steps': 50}
|
experiments/learnability/train_policy_only/minimo_0pt/s44/2026-06-28_05-30-13/summary.json
ADDED
|
@@ -0,0 +1,18 @@
|
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|
|
|
|
| 1 |
+
{
|
| 2 |
+
"checkpoint": "/datadrive/ayush/home/minimoX/learning/outputs/bootstrap_bs_800_para/2026-03-12_23-41-21/0.pt",
|
| 3 |
+
"examples": "/datadrive/ayush/home/minimoX/learning/experiments/learnability/minimo_0pt/examples_policy_only.json",
|
| 4 |
+
"configs": [
|
| 5 |
+
{
|
| 6 |
+
"mode": "epoch",
|
| 7 |
+
"batch_size": 64,
|
| 8 |
+
"n_epochs": 2,
|
| 9 |
+
"save_every": 1
|
| 10 |
+
}
|
| 11 |
+
],
|
| 12 |
+
"results": {
|
| 13 |
+
"updates_0_epoch_2ep_bs64": {
|
| 14 |
+
"path": "/datadrive/ayush/home/minimoX/learning/experiments/learnability/train_policy_only/minimo_0pt/s44/2026-06-28_05-30-13/updates_0_epoch_2ep_bs64/1.pt",
|
| 15 |
+
"total_gradient_steps": 50
|
| 16 |
+
}
|
| 17 |
+
}
|
| 18 |
+
}
|
experiments/learnability/train_policy_only/minimo_0pt/s44/2026-06-28_05-30-13/updates_0_epoch_2ep_bs64/1.pt
ADDED
|
@@ -0,0 +1,3 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
version https://git-lfs.github.com/spec/v1
|
| 2 |
+
oid sha256:4e073297d1344de9ba1c332da3a4d65296f70bc67655505e4523bd0a497c140b
|
| 3 |
+
size 318254491
|
experiments/learnability/train_policy_only/minimo_0pt/s44/2026-06-28_05-30-13/updates_0_epoch_2ep_bs64/ablation_config.json
ADDED
|
@@ -0,0 +1,8 @@
|
|
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|
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|
|
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|
| 1 |
+
{
|
| 2 |
+
"mode": "epoch",
|
| 3 |
+
"batch_size": 64,
|
| 4 |
+
"n_epochs": 2,
|
| 5 |
+
"save_every": 1,
|
| 6 |
+
"checkpoint": "/datadrive/ayush/home/minimoX/learning/outputs/bootstrap_bs_800_para/2026-03-12_23-41-21/0.pt",
|
| 7 |
+
"examples": "/datadrive/ayush/home/minimoX/learning/experiments/learnability/minimo_0pt/examples_policy_only.json"
|
| 8 |
+
}
|
experiments/learnability/train_policy_only/minimo_0pt/s44/2026-06-28_05-30-13/updates_0_epoch_2ep_bs64/bf_extrinsic-95_final.json
ADDED
|
@@ -0,0 +1,1057 @@
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| 1 |
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{
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| 2 |
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"agent_path": "/datadrive/ayush/home/minimoX/learning/experiments/learnability/train_policy_only/minimo_0pt/s44/2026-06-28_05-30-13/updates_0_epoch_2ep_bs64/epoch_2.pt",
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| 11 |
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| 12 |
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{
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"solved": true,
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| 14 |
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{
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{
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| 52 |
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"problem": "extrinsic_L0_3"
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{
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| 1030 |
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| 1031 |
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| 1048 |
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|
experiments/learnability/train_policy_only/minimo_0pt/s44/2026-06-28_05-30-13/updates_0_epoch_2ep_bs64/bf_extrinsic-95_final.log
ADDED
|
@@ -0,0 +1,755 @@
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|
|
| 1 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 2 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 3 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 4 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 5 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 6 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 7 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 8 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 9 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 10 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 11 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 12 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 13 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 14 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 15 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 16 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 17 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 18 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 19 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 20 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 21 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 22 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 23 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 24 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 25 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 26 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 27 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 28 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 29 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 30 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 31 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 32 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 33 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 34 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 35 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 36 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 37 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 38 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 39 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 40 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 41 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 42 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 43 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 44 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 45 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 46 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 47 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 48 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 49 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 50 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 51 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 52 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 53 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 54 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 55 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 56 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 57 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 58 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 59 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 60 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 61 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 62 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 63 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 64 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 65 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 66 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 67 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 68 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 69 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 70 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 71 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 72 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 73 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 74 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 75 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 76 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 77 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 78 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 79 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 80 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 81 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 82 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 83 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 84 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 85 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 86 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 87 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 88 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 89 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 90 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 91 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 92 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 93 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 94 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 95 |
+
[OK ] extrinsic_L0_1 (solved pops=5 evals=25 maxopen=19)
|
| 96 |
+
[OK ] extrinsic_L0_2 (solved pops=55 evals=352 maxopen=298)
|
| 97 |
+
[OK ] extrinsic_L0_3 (solved pops=62 evals=371 maxopen=310)
|
| 98 |
+
[OK ] extrinsic_L0_5 (solved pops=56 evals=368 maxopen=313)
|
| 99 |
+
[OK ] extrinsic_L0_10 (solved pops=7 evals=41 maxopen=35)
|
| 100 |
+
[OK ] extrinsic_L0_6 (solved pops=57 evals=353 maxopen=297)
|
| 101 |
+
[OK ] extrinsic_L0_9 (solved pops=54 evals=352 maxopen=283)
|
| 102 |
+
[OK ] extrinsic_L0_7 (solved pops=56 evals=356 maxopen=301)
|
| 103 |
+
[OK ] extrinsic_L0_8 (solved pops=58 evals=361 maxopen=304)
|
| 104 |
+
[OK ] extrinsic_L0_12 (solved pops=16 evals=89 maxopen=57)
|
| 105 |
+
[OK ] extrinsic_L0_13 (solved pops=22 evals=156 maxopen=135)
|
| 106 |
+
[OK ] extrinsic_L0_4 (solved pops=209 evals=1104 maxopen=896)
|
| 107 |
+
[OK ] extrinsic_L1_4 (solved pops=20 evals=124 maxopen=103)
|
| 108 |
+
[OK ] extrinsic_L0_11 (solved pops=211 evals=1143 maxopen=933)
|
| 109 |
+
[OK ] extrinsic_L1_1 (solved pops=222 evals=1220 maxopen=981)
|
| 110 |
+
[OK ] extrinsic_L1_2 (solved pops=462 evals=2457 maxopen=1996)
|
| 111 |
+
[OK ] extrinsic_L1_3 (solved pops=462 evals=2454 maxopen=1993)
|
| 112 |
+
[OK ] extrinsic_L2_1 (solved pops=1256 evals=6845 maxopen=5590)
|
| 113 |
+
[OK ] extrinsic_L2_6 (solved pops=1632 evals=9398 maxopen=7767)
|
| 114 |
+
[OK ] extrinsic_L2_7 (solved pops=1027 evals=5748 maxopen=4722)
|
| 115 |
+
[ ] extrinsic_L2_2 (budget pops=4000 evals=25960 maxopen=21961)
|
| 116 |
+
[OK ] extrinsic_L0_14 (solved pops=3964 evals=25999 maxopen=22036)
|
| 117 |
+
[ ] extrinsic_L2_3 (budget pops=4000 evals=25844 maxopen=21845)
|
| 118 |
+
[OK ] extrinsic_L2_11 (solved pops=22 evals=145 maxopen=122)
|
| 119 |
+
[ ] extrinsic_L2_4 (budget pops=4000 evals=25839 maxopen=21840)
|
| 120 |
+
[ ] extrinsic_L2_5 (budget pops=4000 evals=25734 maxopen=21735)
|
| 121 |
+
[OK ] extrinsic_L2_9 (solved pops=1015 evals=5694 maxopen=4680)
|
| 122 |
+
[OK ] extrinsic_L2_12 (solved pops=1352 evals=7666 maxopen=6315)
|
| 123 |
+
[ ] extrinsic_L2_8 (budget pops=4000 evals=26006 maxopen=22007)
|
| 124 |
+
[ ] extrinsic_L2_10 (budget pops=4000 evals=26379 maxopen=22380)
|
| 125 |
+
[ ] extrinsic_L2_13 (budget pops=4000 evals=25815 maxopen=21816)
|
| 126 |
+
[ ] extrinsic_L3_1 (budget pops=4000 evals=25859 maxopen=21860)
|
| 127 |
+
[ ] extrinsic_L3_2 (budget pops=4000 evals=25853 maxopen=21854)
|
| 128 |
+
[ ] extrinsic_L3_3 (budget pops=4000 evals=25903 maxopen=21904)
|
| 129 |
+
[ ] extrinsic_L3_4 (budget pops=4000 evals=26045 maxopen=22046)
|
| 130 |
+
[ ] extrinsic_L3_5 (budget pops=4000 evals=26039 maxopen=22040)
|
| 131 |
+
[ ] extrinsic_L3_6 (budget pops=4000 evals=25736 maxopen=21737)
|
| 132 |
+
[ ] extrinsic_L3_7 (budget pops=4000 evals=25835 maxopen=21836)
|
| 133 |
+
[ ] extrinsic_L3_8 (budget pops=4000 evals=25975 maxopen=21976)
|
| 134 |
+
[ ] extrinsic_L3_9 (budget pops=4000 evals=26186 maxopen=22187)
|
| 135 |
+
[ ] extrinsic_L3_10 (budget pops=4000 evals=25952 maxopen=21953)
|
| 136 |
+
[ ] extrinsic_L3_11 (budget pops=4000 evals=26206 maxopen=22207)
|
| 137 |
+
[OK ] extrinsic_L3_13 (solved pops=3497 evals=22185 maxopen=18689)
|
| 138 |
+
[OK ] extrinsic_L3_14 (solved pops=3216 evals=19687 maxopen=16472)
|
| 139 |
+
[ ] extrinsic_L3_12 (budget pops=4000 evals=26210 maxopen=22211)
|
| 140 |
+
[ ] extrinsic_L3_15 (budget pops=4000 evals=26009 maxopen=22010)
|
| 141 |
+
[ ] extrinsic_L3_16 (budget pops=4000 evals=26033 maxopen=22034)
|
| 142 |
+
[ ] extrinsic_L3_17 (budget pops=4000 evals=25733 maxopen=21734)
|
| 143 |
+
[ ] extrinsic_L3_18 (budget pops=4000 evals=25410 maxopen=21411)
|
| 144 |
+
[ ] extrinsic_L3_19 (budget pops=4000 evals=26010 maxopen=22011)
|
| 145 |
+
[ ] extrinsic_L3_20 (budget pops=4000 evals=26157 maxopen=22158)
|
| 146 |
+
[ ] extrinsic_L3_21 (budget pops=4000 evals=26056 maxopen=22057)
|
| 147 |
+
[ ] extrinsic_L3_22 (budget pops=4000 evals=25817 maxopen=21818)
|
| 148 |
+
[ ] extrinsic_L3_23 (budget pops=4000 evals=26296 maxopen=22297)
|
| 149 |
+
[ ] extrinsic_L3_24 (budget pops=4000 evals=26105 maxopen=22106)
|
| 150 |
+
[ ] extrinsic_L3_25 (budget pops=4000 evals=26647 maxopen=22648)
|
| 151 |
+
[ ] extrinsic_L3_26 (budget pops=4000 evals=25955 maxopen=21956)
|
| 152 |
+
[ ] extrinsic_L3_27 (budget pops=4000 evals=26274 maxopen=22275)
|
| 153 |
+
[ ] extrinsic_L3_28 (budget pops=4000 evals=25796 maxopen=21797)
|
| 154 |
+
[ ] extrinsic_L4_1 (budget pops=4000 evals=25551 maxopen=21552)
|
| 155 |
+
[ ] extrinsic_L3_29 (budget pops=4000 evals=26838 maxopen=22839)
|
| 156 |
+
[ ] extrinsic_L4_2 (budget pops=4000 evals=25864 maxopen=21865)
|
| 157 |
+
[ ] extrinsic_L4_3 (budget pops=4000 evals=26040 maxopen=22041)
|
| 158 |
+
[ ] extrinsic_L4_4 (budget pops=4000 evals=25965 maxopen=21966)
|
| 159 |
+
[ ] extrinsic_L4_5 (budget pops=4000 evals=26132 maxopen=22133)
|
| 160 |
+
[ ] extrinsic_L4_6 (budget pops=4000 evals=25952 maxopen=21953)
|
| 161 |
+
[ ] extrinsic_L4_7 (budget pops=4000 evals=26675 maxopen=22676)
|
| 162 |
+
[ ] extrinsic_L4_8 (budget pops=4000 evals=26501 maxopen=22502)
|
| 163 |
+
[ ] extrinsic_L4_9 (budget pops=4000 evals=26704 maxopen=22705)
|
| 164 |
+
[OK ] extrinsic_L4_12 (solved pops=1317 evals=7264 maxopen=5945)
|
| 165 |
+
[ ] extrinsic_L4_10 (budget pops=4000 evals=25310 maxopen=21311)
|
| 166 |
+
[ ] extrinsic_L4_11 (budget pops=4000 evals=26341 maxopen=22342)
|
| 167 |
+
[ ] extrinsic_L4_13 (budget pops=4000 evals=25919 maxopen=21920)
|
| 168 |
+
[ ] extrinsic_L4_14 (budget pops=4000 evals=26367 maxopen=22368)
|
| 169 |
+
[ ] extrinsic_L5_1 (budget pops=4000 evals=25871 maxopen=21872)
|
| 170 |
+
[ ] extrinsic_L5_2 (budget pops=4000 evals=26198 maxopen=22199)
|
| 171 |
+
[ ] extrinsic_L5_3 (budget pops=4000 evals=26268 maxopen=22269)
|
| 172 |
+
[ ] extrinsic_L5_4 (budget pops=4000 evals=25788 maxopen=21789)
|
| 173 |
+
[ ] extrinsic_L5_5 (budget pops=4000 evals=26518 maxopen=22519)
|
| 174 |
+
[ ] extrinsic_L5_6 (budget pops=4000 evals=26094 maxopen=22095)
|
| 175 |
+
[ ] extrinsic_L5_7 (budget pops=4000 evals=26493 maxopen=22494)
|
| 176 |
+
[ ] extrinsic_L5_8 (budget pops=4000 evals=26439 maxopen=22440)
|
| 177 |
+
[ ] extrinsic_L5_9 (budget pops=4000 evals=26269 maxopen=22270)
|
| 178 |
+
[ ] extrinsic_L5_10 (budget pops=4000 evals=26546 maxopen=22547)
|
| 179 |
+
[ ] extrinsic_L6_1 (budget pops=4000 evals=26057 maxopen=22058)
|
| 180 |
+
[ ] extrinsic_L5_11 (budget pops=4000 evals=31246 maxopen=27247)
|
| 181 |
+
[ ] extrinsic_L6_2 (budget pops=4000 evals=31327 maxopen=27328)
|
| 182 |
+
[ ] extrinsic_L6_3 (budget pops=4000 evals=31305 maxopen=27306)
|
| 183 |
+
[ ] extrinsic_L6_4 (budget pops=4000 evals=31217 maxopen=27218)
|
| 184 |
+
[ ] extrinsic_L6_5 (budget pops=4000 evals=30982 maxopen=26983)
|
| 185 |
+
[ ] extrinsic_L6_6 (budget pops=4000 evals=25985 maxopen=21986)
|
| 186 |
+
[ ] extrinsic_L6_7 (budget pops=4000 evals=25980 maxopen=21981)
|
| 187 |
+
[ ] extrinsic_L6_8 (budget pops=4000 evals=31332 maxopen=27333)
|
| 188 |
+
[ ] extrinsic_L6_9 (budget pops=4000 evals=31061 maxopen=27062)
|
| 189 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 190 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 191 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 192 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 193 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 194 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 195 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 196 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 197 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 198 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 199 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 200 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 201 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 202 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 203 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 204 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 205 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 206 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 207 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 208 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 209 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 210 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 211 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 212 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 213 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 214 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 215 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 216 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 217 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 218 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 219 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 220 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 221 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 222 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 223 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 224 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 225 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 226 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 227 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 228 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 229 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 230 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 231 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 232 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 233 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 234 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 235 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 236 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 237 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 238 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 239 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 240 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 241 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 242 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 243 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 244 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 245 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 246 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 247 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 248 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 249 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 250 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 251 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 252 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 253 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 254 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 255 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 256 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 257 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 258 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 259 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 260 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 261 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 262 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 263 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 264 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 265 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 266 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 267 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 268 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 269 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 270 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 271 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 272 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 273 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 274 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 275 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 276 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 277 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 278 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 279 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 280 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 281 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 282 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 283 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 284 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 285 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 286 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 287 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 288 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 289 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 290 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 291 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 292 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 293 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 294 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 295 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 296 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 297 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 298 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 299 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 300 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 301 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 302 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 303 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 304 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 305 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 306 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 307 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 308 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 309 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 310 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 311 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 312 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 313 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 314 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 315 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 316 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 317 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 318 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 319 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 320 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 321 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 322 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 323 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 324 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 325 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 326 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 327 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 328 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 329 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 330 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 331 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 332 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 333 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 334 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 335 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 336 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 337 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 338 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 339 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 340 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 341 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 342 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 343 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 344 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 345 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 346 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 347 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 348 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 349 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 350 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 351 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 352 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 353 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 354 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 355 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 356 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 357 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 358 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 359 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 360 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 361 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 362 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 363 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 364 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 365 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 366 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 367 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 368 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 369 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 370 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 371 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 372 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 373 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 374 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 375 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 376 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 377 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 378 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 379 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 380 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 381 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 382 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 383 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 384 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 385 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 386 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 387 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 388 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 389 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 390 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 391 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 392 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 393 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 394 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 395 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 396 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 397 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 398 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 399 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 400 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 401 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 402 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 403 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 404 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 405 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 406 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 407 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 408 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 409 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 410 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 411 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 412 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 413 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 414 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 415 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 416 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 417 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 418 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 419 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 420 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 421 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 422 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 423 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 424 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 425 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 426 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 427 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 428 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 429 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 430 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 431 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 432 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 433 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 434 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 435 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 436 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 437 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 438 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 439 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 440 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 441 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 442 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 443 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 444 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 445 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 446 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 447 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 448 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 449 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 450 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 451 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 452 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 453 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 454 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 455 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 456 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 457 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 458 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 459 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 460 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 461 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 462 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 463 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 464 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 465 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 466 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 467 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 468 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 469 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 470 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 471 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 472 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 473 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 474 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 475 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 476 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 477 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 478 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 479 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 480 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 481 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 482 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 483 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 484 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 485 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 486 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 487 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 488 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 489 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 490 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 491 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 492 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 493 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 494 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 495 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 496 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 497 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 498 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 499 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 500 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 501 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 502 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 503 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 504 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 505 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 506 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 507 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 508 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 509 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 510 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 511 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 512 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 513 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 514 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 515 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 516 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 517 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 518 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 519 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 520 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 521 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 522 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 523 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 524 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 525 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 526 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 527 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 528 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 529 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 530 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 531 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 532 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 533 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 534 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 535 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 536 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 537 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 538 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 539 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 540 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 541 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 542 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 543 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 544 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 545 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 546 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 547 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 548 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 549 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 550 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 551 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 552 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 553 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 554 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 555 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 556 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 557 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 558 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 559 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 560 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 561 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 562 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 563 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 564 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 565 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 566 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 567 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 568 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 569 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 570 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 571 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 572 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 573 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 574 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 575 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 576 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 577 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 578 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 579 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 580 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 581 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 582 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 583 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 584 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 585 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 586 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 587 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 588 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 589 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 590 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 591 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 592 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 593 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 594 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 595 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 596 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 597 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 598 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 599 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 600 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 601 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 602 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 603 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 604 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 605 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 606 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 607 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 608 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 609 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 610 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 611 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 612 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 613 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 614 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 615 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 616 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 617 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 618 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 619 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 620 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 621 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 622 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 623 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 624 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 625 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 626 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 627 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 628 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 629 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 630 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 631 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 632 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 633 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 634 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 635 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 636 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 637 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 638 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 639 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 640 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 641 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 642 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 643 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 644 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 645 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 646 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 647 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 648 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 649 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 650 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 651 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 652 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 653 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 654 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 655 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 656 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 657 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 658 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 659 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 660 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 661 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 662 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 663 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 664 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 665 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 666 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 667 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 668 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 669 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 670 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 671 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 672 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 673 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 674 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 675 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 676 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 677 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 678 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 679 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 680 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 681 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 682 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 683 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 684 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 685 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 686 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 687 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 688 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 689 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 690 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 691 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 692 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 693 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 694 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 695 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 696 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 697 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 698 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 699 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 700 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 701 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 702 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 703 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 704 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 705 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 706 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 707 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 708 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 709 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 710 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 711 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 712 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 713 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 714 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 715 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 716 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 717 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 718 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 719 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 720 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 721 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 722 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 723 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 724 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 725 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 726 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 727 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 728 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 729 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 730 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 731 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 732 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 733 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 734 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 735 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 736 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 737 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 738 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 739 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 740 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 741 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 742 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 743 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 744 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 745 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 746 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 747 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 748 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 749 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 750 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 751 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 752 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 753 |
+
|
| 754 |
+
Wrote /datadrive/ayush/home/minimoX/learning/experiments/learnability/train_policy_only/minimo_0pt/s44/2026-06-28_05-30-13/updates_0_epoch_2ep_bs64/bf_extrinsic-95_final.json
|
| 755 |
+
Solved 27/94 in 2765.9s
|
experiments/learnability/train_policy_only/minimo_0pt/s44/2026-06-28_05-30-13/updates_0_epoch_2ep_bs64/bf_extrinsic-95_mid.json
ADDED
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|
| 1 |
+
{
|
| 2 |
+
"agent_path": "/datadrive/ayush/home/minimoX/learning/experiments/learnability/train_policy_only/minimo_0pt/s44/2026-06-28_05-30-13/updates_0_epoch_2ep_bs64/epoch_1.pt",
|
| 3 |
+
"problemset": "extrinsic-95",
|
| 4 |
+
"max_pops": 4000,
|
| 5 |
+
"max_actions": 0,
|
| 6 |
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"timeout": 600.0,
|
| 7 |
+
"workers": 6,
|
| 8 |
+
"num_problems": 94,
|
| 9 |
+
"num_solved": 27,
|
| 10 |
+
"elapsed_sec": 2745.3385853767395,
|
| 11 |
+
"results": [
|
| 12 |
+
{
|
| 13 |
+
"solved": true,
|
| 14 |
+
"outcome": "solved",
|
| 15 |
+
"pops_used": 3,
|
| 16 |
+
"evals_used": 21,
|
| 17 |
+
"max_open": 17,
|
| 18 |
+
"solution_actions": [
|
| 19 |
+
"intro.",
|
| 20 |
+
"intro."
|
| 21 |
+
],
|
| 22 |
+
"problem": "extrinsic_L0_1"
|
| 23 |
+
},
|
| 24 |
+
{
|
| 25 |
+
"solved": true,
|
| 26 |
+
"outcome": "solved",
|
| 27 |
+
"pops_used": 55,
|
| 28 |
+
"evals_used": 352,
|
| 29 |
+
"max_open": 298,
|
| 30 |
+
"solution_actions": [
|
| 31 |
+
"intro.",
|
| 32 |
+
"intro.",
|
| 33 |
+
"intro.",
|
| 34 |
+
"c and_el",
|
| 35 |
+
"=> (and_el x x0 x1)."
|
| 36 |
+
],
|
| 37 |
+
"problem": "extrinsic_L0_2"
|
| 38 |
+
},
|
| 39 |
+
{
|
| 40 |
+
"solved": true,
|
| 41 |
+
"outcome": "solved",
|
| 42 |
+
"pops_used": 78,
|
| 43 |
+
"evals_used": 449,
|
| 44 |
+
"max_open": 372,
|
| 45 |
+
"solution_actions": [
|
| 46 |
+
"intro.",
|
| 47 |
+
"intro.",
|
| 48 |
+
"intro.",
|
| 49 |
+
"c and_er",
|
| 50 |
+
"=> (and_er x x0 x1)."
|
| 51 |
+
],
|
| 52 |
+
"problem": "extrinsic_L0_3"
|
| 53 |
+
},
|
| 54 |
+
{
|
| 55 |
+
"solved": true,
|
| 56 |
+
"outcome": "solved",
|
| 57 |
+
"pops_used": 224,
|
| 58 |
+
"evals_used": 1209,
|
| 59 |
+
"max_open": 986,
|
| 60 |
+
"solution_actions": [
|
| 61 |
+
"intro.",
|
| 62 |
+
"intro.",
|
| 63 |
+
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|
experiments/learnability/train_policy_only/minimo_0pt/s44/2026-06-28_05-30-13/updates_0_epoch_2ep_bs64/bf_extrinsic-95_mid.log
ADDED
|
@@ -0,0 +1,755 @@
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|
| 1 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 2 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 3 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 4 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 5 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 6 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 7 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 8 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 9 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 10 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 11 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 12 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 13 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 14 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 15 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 16 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 17 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 18 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 19 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 20 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 21 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 22 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 23 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 24 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 25 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 26 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 27 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 28 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 29 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 30 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 31 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 32 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 33 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 34 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 35 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 36 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 37 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 38 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 39 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 40 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 41 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 42 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 43 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 44 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 45 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 46 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 47 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 48 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 49 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 50 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 51 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 52 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 53 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 54 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 55 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 56 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 57 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 58 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 59 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 60 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 61 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 62 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 63 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 64 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 65 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 66 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 67 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 68 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 69 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 70 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 71 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 72 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 73 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 74 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 75 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 76 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 77 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 78 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 79 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 80 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 81 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 82 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 83 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 84 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 85 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 86 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 87 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 88 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 89 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 90 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 91 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 92 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 93 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 94 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 95 |
+
[OK ] extrinsic_L0_1 (solved pops=3 evals=21 maxopen=17)
|
| 96 |
+
[OK ] extrinsic_L0_5 (solved pops=53 evals=321 maxopen=269)
|
| 97 |
+
[OK ] extrinsic_L0_2 (solved pops=55 evals=352 maxopen=298)
|
| 98 |
+
[OK ] extrinsic_L0_7 (solved pops=55 evals=354 maxopen=300)
|
| 99 |
+
[OK ] extrinsic_L0_6 (solved pops=51 evals=316 maxopen=266)
|
| 100 |
+
[OK ] extrinsic_L0_10 (solved pops=8 evals=56 maxopen=49)
|
| 101 |
+
[OK ] extrinsic_L0_12 (solved pops=16 evals=89 maxopen=57)
|
| 102 |
+
[OK ] extrinsic_L0_3 (solved pops=78 evals=449 maxopen=372)
|
| 103 |
+
[OK ] extrinsic_L0_13 (solved pops=23 evals=171 maxopen=149)
|
| 104 |
+
[OK ] extrinsic_L0_9 (solved pops=49 evals=328 maxopen=264)
|
| 105 |
+
[OK ] extrinsic_L0_8 (solved pops=53 evals=349 maxopen=297)
|
| 106 |
+
[OK ] extrinsic_L0_4 (solved pops=224 evals=1209 maxopen=986)
|
| 107 |
+
[OK ] extrinsic_L1_4 (solved pops=17 evals=105 maxopen=87)
|
| 108 |
+
[OK ] extrinsic_L0_11 (solved pops=224 evals=1213 maxopen=990)
|
| 109 |
+
[OK ] extrinsic_L1_1 (solved pops=221 evals=1204 maxopen=966)
|
| 110 |
+
[OK ] extrinsic_L1_2 (solved pops=510 evals=2758 maxopen=2249)
|
| 111 |
+
[OK ] extrinsic_L1_3 (solved pops=511 evals=2772 maxopen=2262)
|
| 112 |
+
[OK ] extrinsic_L2_1 (solved pops=1257 evals=6961 maxopen=5705)
|
| 113 |
+
[OK ] extrinsic_L2_6 (solved pops=1690 evals=9917 maxopen=8228)
|
| 114 |
+
[OK ] extrinsic_L2_7 (solved pops=998 evals=5686 maxopen=4689)
|
| 115 |
+
[OK ] extrinsic_L0_14 (solved pops=3878 evals=25170 maxopen=21293)
|
| 116 |
+
[ ] extrinsic_L2_2 (budget pops=4000 evals=25898 maxopen=21899)
|
| 117 |
+
[ ] extrinsic_L2_3 (budget pops=4000 evals=25890 maxopen=21891)
|
| 118 |
+
[OK ] extrinsic_L2_11 (solved pops=24 evals=177 maxopen=152)
|
| 119 |
+
[ ] extrinsic_L2_5 (budget pops=4000 evals=25754 maxopen=21755)
|
| 120 |
+
[ ] extrinsic_L2_4 (budget pops=4000 evals=25888 maxopen=21889)
|
| 121 |
+
[OK ] extrinsic_L2_9 (solved pops=984 evals=5621 maxopen=4638)
|
| 122 |
+
[OK ] extrinsic_L2_12 (solved pops=1221 evals=6780 maxopen=5560)
|
| 123 |
+
[ ] extrinsic_L2_8 (budget pops=4000 evals=26277 maxopen=22278)
|
| 124 |
+
[ ] extrinsic_L2_10 (budget pops=4000 evals=26184 maxopen=22185)
|
| 125 |
+
[ ] extrinsic_L2_13 (budget pops=4000 evals=25705 maxopen=21706)
|
| 126 |
+
[ ] extrinsic_L3_1 (budget pops=4000 evals=25905 maxopen=21906)
|
| 127 |
+
[ ] extrinsic_L3_2 (budget pops=4000 evals=25716 maxopen=21717)
|
| 128 |
+
[ ] extrinsic_L3_3 (budget pops=4000 evals=25751 maxopen=21752)
|
| 129 |
+
[ ] extrinsic_L3_4 (budget pops=4000 evals=25952 maxopen=21953)
|
| 130 |
+
[ ] extrinsic_L3_5 (budget pops=4000 evals=25955 maxopen=21956)
|
| 131 |
+
[ ] extrinsic_L3_6 (budget pops=4000 evals=25755 maxopen=21756)
|
| 132 |
+
[ ] extrinsic_L3_7 (budget pops=4000 evals=25827 maxopen=21828)
|
| 133 |
+
[ ] extrinsic_L3_8 (budget pops=4000 evals=26057 maxopen=22058)
|
| 134 |
+
[ ] extrinsic_L3_9 (budget pops=4000 evals=26035 maxopen=22036)
|
| 135 |
+
[ ] extrinsic_L3_10 (budget pops=4000 evals=25950 maxopen=21951)
|
| 136 |
+
[ ] extrinsic_L3_11 (budget pops=4000 evals=25825 maxopen=21826)
|
| 137 |
+
[OK ] extrinsic_L3_14 (solved pops=3163 evals=19551 maxopen=16389)
|
| 138 |
+
[OK ] extrinsic_L3_13 (solved pops=3511 evals=22659 maxopen=19149)
|
| 139 |
+
[ ] extrinsic_L3_12 (budget pops=4000 evals=25875 maxopen=21876)
|
| 140 |
+
[ ] extrinsic_L3_15 (budget pops=4000 evals=25850 maxopen=21851)
|
| 141 |
+
[ ] extrinsic_L3_16 (budget pops=4000 evals=25868 maxopen=21869)
|
| 142 |
+
[ ] extrinsic_L3_17 (budget pops=4000 evals=25773 maxopen=21774)
|
| 143 |
+
[ ] extrinsic_L3_18 (budget pops=4000 evals=25233 maxopen=21234)
|
| 144 |
+
[ ] extrinsic_L3_19 (budget pops=4000 evals=25620 maxopen=21621)
|
| 145 |
+
[ ] extrinsic_L3_20 (budget pops=4000 evals=25796 maxopen=21797)
|
| 146 |
+
[ ] extrinsic_L3_21 (budget pops=4000 evals=25835 maxopen=21836)
|
| 147 |
+
[ ] extrinsic_L3_22 (budget pops=4000 evals=25799 maxopen=21800)
|
| 148 |
+
[ ] extrinsic_L3_23 (budget pops=4000 evals=26133 maxopen=22134)
|
| 149 |
+
[ ] extrinsic_L3_24 (budget pops=4000 evals=26028 maxopen=22029)
|
| 150 |
+
[ ] extrinsic_L3_26 (budget pops=4000 evals=25909 maxopen=21910)
|
| 151 |
+
[ ] extrinsic_L3_25 (budget pops=4000 evals=26889 maxopen=22890)
|
| 152 |
+
[ ] extrinsic_L3_27 (budget pops=4000 evals=26023 maxopen=22024)
|
| 153 |
+
[ ] extrinsic_L3_28 (budget pops=4000 evals=25775 maxopen=21776)
|
| 154 |
+
[ ] extrinsic_L4_1 (budget pops=4000 evals=25995 maxopen=21996)
|
| 155 |
+
[ ] extrinsic_L3_29 (budget pops=4000 evals=26751 maxopen=22752)
|
| 156 |
+
[ ] extrinsic_L4_3 (budget pops=4000 evals=25719 maxopen=21720)
|
| 157 |
+
[ ] extrinsic_L4_2 (budget pops=4000 evals=26958 maxopen=22959)
|
| 158 |
+
[ ] extrinsic_L4_4 (budget pops=4000 evals=25855 maxopen=21856)
|
| 159 |
+
[ ] extrinsic_L4_6 (budget pops=4000 evals=25852 maxopen=21853)
|
| 160 |
+
[ ] extrinsic_L4_5 (budget pops=4000 evals=26175 maxopen=22176)
|
| 161 |
+
[ ] extrinsic_L4_7 (budget pops=4000 evals=26732 maxopen=22733)
|
| 162 |
+
[ ] extrinsic_L4_9 (budget pops=4000 evals=26357 maxopen=22358)
|
| 163 |
+
[ ] extrinsic_L4_8 (budget pops=4000 evals=25837 maxopen=21838)
|
| 164 |
+
[OK ] extrinsic_L4_12 (solved pops=1311 evals=7556 maxopen=6243)
|
| 165 |
+
[ ] extrinsic_L4_10 (budget pops=4000 evals=25655 maxopen=21656)
|
| 166 |
+
[ ] extrinsic_L4_11 (budget pops=4000 evals=26245 maxopen=22246)
|
| 167 |
+
[ ] extrinsic_L4_13 (budget pops=4000 evals=25836 maxopen=21837)
|
| 168 |
+
[ ] extrinsic_L4_14 (budget pops=4000 evals=26090 maxopen=22091)
|
| 169 |
+
[ ] extrinsic_L5_1 (budget pops=4000 evals=25586 maxopen=21587)
|
| 170 |
+
[ ] extrinsic_L5_2 (budget pops=4000 evals=26097 maxopen=22098)
|
| 171 |
+
[ ] extrinsic_L5_3 (budget pops=4000 evals=26193 maxopen=22194)
|
| 172 |
+
[ ] extrinsic_L5_4 (budget pops=4000 evals=25519 maxopen=21520)
|
| 173 |
+
[ ] extrinsic_L5_5 (budget pops=4000 evals=26445 maxopen=22446)
|
| 174 |
+
[ ] extrinsic_L5_6 (budget pops=4000 evals=26105 maxopen=22106)
|
| 175 |
+
[ ] extrinsic_L5_7 (budget pops=4000 evals=26276 maxopen=22277)
|
| 176 |
+
[ ] extrinsic_L5_8 (budget pops=4000 evals=26328 maxopen=22329)
|
| 177 |
+
[ ] extrinsic_L5_9 (budget pops=4000 evals=26495 maxopen=22496)
|
| 178 |
+
[ ] extrinsic_L5_10 (budget pops=4000 evals=26538 maxopen=22539)
|
| 179 |
+
[ ] extrinsic_L5_11 (budget pops=4000 evals=31221 maxopen=27222)
|
| 180 |
+
[ ] extrinsic_L6_1 (budget pops=4000 evals=25906 maxopen=21907)
|
| 181 |
+
[ ] extrinsic_L6_2 (budget pops=4000 evals=31096 maxopen=27097)
|
| 182 |
+
[ ] extrinsic_L6_3 (budget pops=4000 evals=31055 maxopen=27056)
|
| 183 |
+
[ ] extrinsic_L6_4 (budget pops=4000 evals=30916 maxopen=26917)
|
| 184 |
+
[ ] extrinsic_L6_5 (budget pops=4000 evals=30829 maxopen=26830)
|
| 185 |
+
[ ] extrinsic_L6_6 (budget pops=4000 evals=25805 maxopen=21806)
|
| 186 |
+
[ ] extrinsic_L6_7 (budget pops=4000 evals=25755 maxopen=21756)
|
| 187 |
+
[ ] extrinsic_L6_9 (budget pops=4000 evals=30989 maxopen=26990)
|
| 188 |
+
[ ] extrinsic_L6_8 (budget pops=4000 evals=31336 maxopen=27337)
|
| 189 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 190 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 191 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 192 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 193 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 194 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 195 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 196 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 197 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 198 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 199 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 200 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 201 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 202 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 203 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 204 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 205 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 206 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 207 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 208 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 209 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 210 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 211 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 212 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 213 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 214 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 215 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 216 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 217 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 218 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 219 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 220 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 221 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 222 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 223 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 224 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 225 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 226 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 227 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 228 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 229 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 230 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 231 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 232 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 233 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 234 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 235 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 236 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 237 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 238 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 239 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 240 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 241 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 242 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 243 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 244 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 245 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 246 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 247 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 248 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 249 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 250 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 251 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 252 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 253 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 254 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 255 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 256 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 257 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 258 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 259 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 260 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 261 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 262 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 263 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 264 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 265 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 266 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 267 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 268 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 269 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 270 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 271 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 272 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 273 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 274 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 275 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 276 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 277 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 278 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 279 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 280 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 281 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 282 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 283 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 284 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 285 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 286 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 287 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 288 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 289 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 290 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 291 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 292 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 293 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 294 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 295 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 296 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 297 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 298 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 299 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 300 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 301 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 302 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 303 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 304 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 305 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 306 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 307 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 308 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 309 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 310 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 311 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 312 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 313 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 314 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 315 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 316 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 317 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 318 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 319 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 320 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 321 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 322 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 323 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 324 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 325 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 326 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 327 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 328 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 329 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 330 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 331 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 332 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 333 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 334 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 335 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 336 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 337 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 338 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 339 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 340 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 341 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 342 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 343 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 344 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 345 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 346 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 347 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 348 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 349 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 350 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 351 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 352 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 353 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 354 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 355 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 356 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 357 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 358 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 359 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 360 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 361 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 362 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 363 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 364 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 365 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 366 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 367 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 368 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 369 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 370 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 371 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 372 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 373 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 374 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 375 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 376 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 377 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 378 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 379 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 380 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 381 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 382 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 383 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 384 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 385 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 386 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 387 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 388 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 389 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 390 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 391 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 392 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 393 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 394 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 395 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 396 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 397 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 398 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 399 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 400 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 401 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 402 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 403 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 404 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 405 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 406 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 407 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 408 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 409 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 410 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 411 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 412 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 413 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 414 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 415 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 416 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 417 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 418 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 419 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 420 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 421 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 422 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 423 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 424 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 425 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 426 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 427 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 428 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 429 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 430 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 431 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 432 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 433 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 434 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 435 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 436 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 437 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 438 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 439 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 440 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 441 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 442 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 443 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 444 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 445 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 446 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 447 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 448 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 449 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 450 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 451 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 452 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 453 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 454 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 455 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 456 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 457 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 458 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 459 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 460 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 461 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 462 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 463 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 464 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 465 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 466 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 467 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 468 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 469 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 470 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 471 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 472 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 473 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 474 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 475 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 476 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 477 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 478 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 479 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 480 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 481 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 482 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 483 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 484 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 485 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 486 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 487 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 488 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 489 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 490 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 491 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 492 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 493 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 494 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 495 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 496 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 497 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 498 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 499 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 500 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 501 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 502 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 503 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 504 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 505 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 506 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 507 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 508 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 509 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 510 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 511 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 512 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 513 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 514 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 515 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 516 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 517 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 518 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 519 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 520 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 521 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 522 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 523 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 524 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 525 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 526 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 527 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 528 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 529 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 530 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 531 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 532 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 533 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 534 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 535 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 536 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 537 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 538 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 539 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 540 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 541 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 542 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 543 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 544 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 545 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 546 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 547 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 548 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 549 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 550 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 551 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 552 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 553 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 554 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 555 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 556 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 557 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 558 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 559 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 560 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 561 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 562 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 563 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 564 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 565 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 566 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 567 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 568 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 569 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 570 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 571 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 572 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 573 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 574 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 575 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 576 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 577 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 578 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 579 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 580 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 581 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 582 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 583 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 584 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 585 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 586 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 587 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 588 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 589 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 590 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 591 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 592 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 593 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 594 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 595 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 596 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 597 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 598 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 599 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 600 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 601 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 602 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 603 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 604 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 605 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 606 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 607 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 608 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 609 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 610 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 611 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 612 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 613 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 614 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 615 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 616 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 617 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 618 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 619 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 620 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 621 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 622 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 623 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 624 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 625 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 626 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 627 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 628 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 629 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 630 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 631 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 632 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 633 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 634 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 635 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 636 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 637 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 638 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 639 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 640 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 641 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 642 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 643 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 644 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 645 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 646 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 647 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 648 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 649 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 650 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 651 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 652 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 653 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 654 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 655 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 656 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 657 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 658 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 659 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 660 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 661 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 662 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 663 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 664 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 665 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 666 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 667 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 668 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 669 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 670 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 671 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 672 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 673 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 674 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 675 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 676 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 677 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 678 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 679 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 680 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 681 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 682 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 683 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 684 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 685 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 686 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 687 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 688 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 689 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 690 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 691 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 692 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 693 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 694 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 695 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 696 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 697 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 698 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 699 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 700 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 701 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 702 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 703 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 704 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 705 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 706 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 707 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 708 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 709 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 710 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 711 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 712 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 713 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 714 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 715 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 716 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 717 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 718 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 719 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 720 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 721 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 722 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 723 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 724 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 725 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 726 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 727 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 728 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 729 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 730 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 731 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 732 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 733 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 734 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 735 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 736 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 737 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 738 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 739 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 740 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 741 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 742 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 743 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 744 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 745 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 746 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 747 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 748 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 749 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 750 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 751 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 752 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 753 |
+
|
| 754 |
+
Wrote /datadrive/ayush/home/minimoX/learning/experiments/learnability/train_policy_only/minimo_0pt/s44/2026-06-28_05-30-13/updates_0_epoch_2ep_bs64/bf_extrinsic-95_mid.json
|
| 755 |
+
Solved 27/94 in 2745.3s
|
experiments/learnability/train_policy_only/minimo_0pt/s44/2026-06-28_05-30-13/updates_0_epoch_2ep_bs64/epoch_1.pt
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version https://git-lfs.github.com/spec/v1
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oid sha256:598187eac98dc9518c6b11a4647cffcb6625428f3fccbc0dd463fb772956ca12
|
| 3 |
+
size 318283327
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experiments/learnability/train_policy_only/minimo_0pt/s44/2026-06-28_05-30-13/updates_0_epoch_2ep_bs64/epoch_2.pt
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version https://git-lfs.github.com/spec/v1
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oid sha256:fd1805955cd6a6df4a1002b6b87dd85c0bd3bce0968a8222aa5619ee6920e487
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| 3 |
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size 318283327
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experiments/learnability/train_policy_only/minimo_0pt/s44/2026-06-28_05-30-13/updates_0_epoch_2ep_bs64/rollout_extrinsic-95_final.json
ADDED
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experiments/learnability/train_policy_only/minimo_0pt/s44/2026-06-28_05-30-13/updates_0_epoch_2ep_bs64/rollout_extrinsic-95_final.log
ADDED
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@@ -0,0 +1,827 @@
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|
| 1 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 2 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 3 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 4 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 5 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 6 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 7 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 8 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 9 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 10 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 11 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 12 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 13 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 14 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 15 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 16 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 17 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 18 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 19 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 20 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 21 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 22 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 23 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 24 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 25 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 26 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 27 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 28 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 29 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 30 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 31 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 32 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 33 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 34 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 35 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 36 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 37 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 38 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 39 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 40 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 41 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 42 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 43 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 44 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 45 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 46 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 47 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 48 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 49 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 50 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 51 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 52 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 53 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 54 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 55 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 56 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 57 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 58 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 59 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 60 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 61 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 62 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 63 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 64 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 65 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 66 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 67 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 68 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 69 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 70 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 71 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 72 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 73 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 74 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 75 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 76 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 77 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 78 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 79 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 80 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 81 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 82 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 83 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 84 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 85 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 86 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 87 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 88 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 89 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 90 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 91 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 92 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 93 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 94 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 95 |
+
[ ] - extrinsic_L0_3 (traces=17 evals=21053)
|
| 96 |
+
[ ] - extrinsic_L0_4 (traces=17 evals=24119)
|
| 97 |
+
[ ] - extrinsic_L0_2 (traces=17 evals=28158)
|
| 98 |
+
[ ] - extrinsic_L0_1 (traces=17 evals=23163)
|
| 99 |
+
[ ] - extrinsic_L0_6 (traces=13 evals=20141)
|
| 100 |
+
[ ] - extrinsic_L0_5 (traces=7 evals=13001)
|
| 101 |
+
[ ] - extrinsic_L0_7 (traces=17 evals=15057)
|
| 102 |
+
[OK ] - extrinsic_L0_10 (traces=5 evals=12173)
|
| 103 |
+
[ ] - extrinsic_L0_8 (traces=17 evals=17868)
|
| 104 |
+
|
| 105 |
+
thread '<unnamed>' (744561) panicked at src/universe/term.rs:872:33:
|
| 106 |
+
Ill-typed term (and_el [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C] [[('P : prop) -> ('Q : prop) -> ['P -> 'Q] -> ['Q -> 'P] -> (iff 'P 'Q)] -> (iff [('P : prop) -> ('Q : prop) -> ['P -> 'Q] -> ['Q -> 'P] -> (iff 'P 'Q)] false)] (x0 [('P : prop) -> ('Q : prop) -> ('R : prop) -> (or 'P 'Q) -> ['P -> 'R] -> ['Q -> 'R] -> 'R] [('P : prop) -> ('Q : prop) -> (iff 'P 'Q) -> ['P -> 'Q]] or_e iff_el)): parameter type (and [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C] [[('P : prop) -> ('Q : prop) -> ['P -> 'Q] -> ['Q -> 'P] -> (iff 'P 'Q)] -> (iff [('P : prop) -> ('Q : prop) -> ['P -> 'Q] -> ['Q -> 'P] -> (iff 'P 'Q)] false)]) and value type (and [('P : prop) -> ('Q : prop) -> ('R : prop) -> (or 'P 'Q) -> ['P -> 'R] -> ['Q -> 'R] -> 'R] [('P : prop) -> ('Q : prop) -> (iff 'P 'Q) -> ['P -> 'Q]]) did not unify.
|
| 107 |
+
note: run with `RUST_BACKTRACE=1` environment variable to display a backtrace
|
| 108 |
+
|
| 109 |
+
thread '<unnamed>' (744561) panicked at src/universe/term.rs:872:33:
|
| 110 |
+
Ill-typed term (and_el [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C] [[('P : prop) -> ('Q : prop) -> ['P -> 'Q] -> ['Q -> 'P] -> (iff 'P 'Q)] -> (iff [('P : prop) -> ('Q : prop) -> ['P -> 'Q] -> ['Q -> 'P] -> (iff 'P 'Q)] false)] (x0 [('P : prop) -> ('Q : prop) -> ('R : prop) -> (or 'P 'Q) -> ['P -> 'R] -> ['Q -> 'R] -> 'R] [('P : prop) -> ('Q : prop) -> (iff 'P 'Q) -> ['P -> 'Q]] or_e iff_el)): parameter type (and [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C] [[('P : prop) -> ('Q : prop) -> ['P -> 'Q] -> ['Q -> 'P] -> (iff 'P 'Q)] -> (iff [('P : prop) -> ('Q : prop) -> ['P -> 'Q] -> ['Q -> 'P] -> (iff 'P 'Q)] false)]) and value type (and [('P : prop) -> ('Q : prop) -> ('R : prop) -> (or 'P 'Q) -> ['P -> 'R] -> ['Q -> 'R] -> 'R] [('P : prop) -> ('Q : prop) -> (iff 'P 'Q) -> ['P -> 'Q]]) did not unify.
|
| 111 |
+
[ ] - extrinsic_L0_9 (traces=17 evals=17132)
|
| 112 |
+
|
| 113 |
+
thread '<unnamed>' (744558) panicked at src/universe/term.rs:872:33:
|
| 114 |
+
Ill-typed term (and_el [('A : prop) -> ['A -> false] -> (not 'A)] [('P : prop) -> ['P -> false] -> (not 'P)] (x0 [('P : prop) -> ['P -> false] -> (not 'P)] [('P : prop) -> ('Q : prop) -> (iff 'P 'Q) -> ['Q -> 'P]] not_i iff_er)): parameter type (and [('A : prop) -> ['A -> false] -> (not 'A)] [('P : prop) -> ['P -> false] -> (not 'P)]) and value type (and [('P : prop) -> ['P -> false] -> (not 'P)] [('P : prop) -> ('Q : prop) -> (iff 'P 'Q) -> ['Q -> 'P]]) did not unify.
|
| 115 |
+
note: run with `RUST_BACKTRACE=1` environment variable to display a backtrace
|
| 116 |
+
[ ] - extrinsic_L0_12 (traces=13 evals=29302)
|
| 117 |
+
[ ] - extrinsic_L0_11 (traces=7 evals=19927)
|
| 118 |
+
[ ] - extrinsic_L0_13 (traces=15 evals=28101)
|
| 119 |
+
[ ] - extrinsic_L0_14 (traces=4 evals=20606)
|
| 120 |
+
[ ] - extrinsic_L1_1 (traces=11 evals=25234)
|
| 121 |
+
|
| 122 |
+
thread '<unnamed>' (744560) panicked at src/universe/term.rs:851:75:
|
| 123 |
+
mid > len
|
| 124 |
+
note: run with `RUST_BACKTRACE=1` environment variable to display a backtrace
|
| 125 |
+
|
| 126 |
+
thread '<unnamed>' (744560) panicked at src/universe/term.rs:851:75:
|
| 127 |
+
mid > len
|
| 128 |
+
|
| 129 |
+
thread '<unnamed>' (744554) panicked at src/universe/term.rs:851:75:
|
| 130 |
+
mid > len
|
| 131 |
+
note: run with `RUST_BACKTRACE=1` environment variable to display a backtrace
|
| 132 |
+
[ ] - extrinsic_L1_2 (traces=13 evals=29667)
|
| 133 |
+
[ ] - extrinsic_L1_4 (traces=17 evals=26726)
|
| 134 |
+
[ ] - extrinsic_L2_2 (traces=17 evals=23676)
|
| 135 |
+
[ ] - extrinsic_L1_3 (traces=16 evals=35411)
|
| 136 |
+
[ ] - extrinsic_L2_1 (traces=17 evals=29100)
|
| 137 |
+
[ ] - extrinsic_L2_7 (traces=17 evals=12131)
|
| 138 |
+
[ ] - extrinsic_L2_3 (traces=12 evals=14984)
|
| 139 |
+
|
| 140 |
+
thread '<unnamed>' (744554) panicked at src/universe/term.rs:851:75:
|
| 141 |
+
mid > len
|
| 142 |
+
[ ] - extrinsic_L2_4 (traces=13 evals=23928)
|
| 143 |
+
[ ] - extrinsic_L2_5 (traces=14 evals=27990)
|
| 144 |
+
[ ] - extrinsic_L2_6 (traces=13 evals=26608)
|
| 145 |
+
[ ] - extrinsic_L2_8 (traces=17 evals=15136)
|
| 146 |
+
|
| 147 |
+
thread '<unnamed>' (744560) panicked at src/universe/term.rs:851:75:
|
| 148 |
+
mid > len
|
| 149 |
+
[ ] - extrinsic_L2_9 (traces=17 evals=20292)
|
| 150 |
+
[ ] - extrinsic_L2_10 (traces=17 evals=16061)
|
| 151 |
+
[ ] - extrinsic_L2_12 (traces=17 evals=16690)
|
| 152 |
+
|
| 153 |
+
thread '<unnamed>' (744558) panicked at src/universe/term.rs:851:75:
|
| 154 |
+
mid > len
|
| 155 |
+
[ ] - extrinsic_L2_11 (traces=14 evals=29501)
|
| 156 |
+
[ ] - extrinsic_L3_1 (traces=17 evals=22401)
|
| 157 |
+
[ ] - extrinsic_L2_13 (traces=11 evals=11950)
|
| 158 |
+
[ ] - extrinsic_L3_4 (traces=17 evals=16294)
|
| 159 |
+
|
| 160 |
+
thread '<unnamed>' (744560) panicked at src/universe/term.rs:851:75:
|
| 161 |
+
mid > len
|
| 162 |
+
|
| 163 |
+
thread '<unnamed>' (744557) panicked at src/universe/term.rs:851:75:
|
| 164 |
+
mid > len
|
| 165 |
+
note: run with `RUST_BACKTRACE=1` environment variable to display a backtrace
|
| 166 |
+
|
| 167 |
+
thread '<unnamed>' (744560) panicked at src/universe/term.rs:851:75:
|
| 168 |
+
mid > len
|
| 169 |
+
|
| 170 |
+
thread '<unnamed>' (744557) panicked at src/universe/term.rs:851:75:
|
| 171 |
+
mid > len
|
| 172 |
+
[ ] - extrinsic_L3_2 (traces=15 evals=26435)
|
| 173 |
+
[ ] - extrinsic_L3_3 (traces=17 evals=24133)
|
| 174 |
+
|
| 175 |
+
thread '<unnamed>' (744559) panicked at src/universe/term.rs:851:75:
|
| 176 |
+
mid > len
|
| 177 |
+
note: run with `RUST_BACKTRACE=1` environment variable to display a backtrace
|
| 178 |
+
[ ] - extrinsic_L3_5 (traces=11 evals=18558)
|
| 179 |
+
|
| 180 |
+
thread '<unnamed>' (744559) panicked at src/universe/term.rs:851:75:
|
| 181 |
+
mid > len
|
| 182 |
+
|
| 183 |
+
thread '<unnamed>' (744560) panicked at src/universe/term.rs:851:75:
|
| 184 |
+
mid > len
|
| 185 |
+
|
| 186 |
+
thread '<unnamed>' (744560) panicked at src/universe/term.rs:851:75:
|
| 187 |
+
mid > len
|
| 188 |
+
[ ] - extrinsic_L3_6 (traces=11 evals=23067)
|
| 189 |
+
[ ] - extrinsic_L3_7 (traces=14 evals=17225)
|
| 190 |
+
[ ] - extrinsic_L3_8 (traces=17 evals=28746)
|
| 191 |
+
[ ] - extrinsic_L3_9 (traces=17 evals=25356)
|
| 192 |
+
[ ] - extrinsic_L3_10 (traces=17 evals=31367)
|
| 193 |
+
[ ] - extrinsic_L3_11 (traces=17 evals=14297)
|
| 194 |
+
[ ] - extrinsic_L3_12 (traces=17 evals=20196)
|
| 195 |
+
[ ] - extrinsic_L3_13 (traces=14 evals=24628)
|
| 196 |
+
[ ] - extrinsic_L3_14 (traces=16 evals=16837)
|
| 197 |
+
[ ] - extrinsic_L3_15 (traces=11 evals=21989)
|
| 198 |
+
[ ] - extrinsic_L3_16 (traces=17 evals=29321)
|
| 199 |
+
[ ] - extrinsic_L3_18 (traces=17 evals=25147)
|
| 200 |
+
[ ] - extrinsic_L3_17 (traces=14 evals=27679)
|
| 201 |
+
[ ] - extrinsic_L3_19 (traces=11 evals=7599)
|
| 202 |
+
[ ] - extrinsic_L3_20 (traces=13 evals=22588)
|
| 203 |
+
[ ] - extrinsic_L3_22 (traces=17 evals=17712)
|
| 204 |
+
[ ] - extrinsic_L3_21 (traces=6 evals=2767)
|
| 205 |
+
[ ] - extrinsic_L3_23 (traces=15 evals=24355)
|
| 206 |
+
[ ] - extrinsic_L3_24 (traces=17 evals=25969)
|
| 207 |
+
[ ] - extrinsic_L3_25 (traces=17 evals=21241)
|
| 208 |
+
[ ] - extrinsic_L3_26 (traces=11 evals=6228)
|
| 209 |
+
[ ] - extrinsic_L3_27 (traces=14 evals=22217)
|
| 210 |
+
[ ] - extrinsic_L3_28 (traces=8 evals=13633)
|
| 211 |
+
[ ] - extrinsic_L3_29 (traces=8 evals=15179)
|
| 212 |
+
[ ] - extrinsic_L4_1 (traces=17 evals=27278)
|
| 213 |
+
[ ] - extrinsic_L4_3 (traces=17 evals=13363)
|
| 214 |
+
[ ] - extrinsic_L4_2 (traces=17 evals=30759)
|
| 215 |
+
[ ] - extrinsic_L4_4 (traces=17 evals=23169)
|
| 216 |
+
[ ] - extrinsic_L4_5 (traces=15 evals=28417)
|
| 217 |
+
|
| 218 |
+
thread '<unnamed>' (744558) panicked at src/universe/term.rs:851:75:
|
| 219 |
+
mid > len
|
| 220 |
+
[ ] - extrinsic_L4_6 (traces=13 evals=18387)
|
| 221 |
+
[ ] - extrinsic_L4_7 (traces=17 evals=33037)
|
| 222 |
+
|
| 223 |
+
thread '<unnamed>' (744559) panicked at src/universe/term.rs:851:75:
|
| 224 |
+
mid > len
|
| 225 |
+
|
| 226 |
+
thread '<unnamed>' (744559) panicked at src/universe/term.rs:851:75:
|
| 227 |
+
mid > len
|
| 228 |
+
|
| 229 |
+
thread '<unnamed>' (744559) panicked at src/universe/term.rs:851:75:
|
| 230 |
+
mid > len
|
| 231 |
+
[ ] - extrinsic_L4_8 (traces=13 evals=20950)
|
| 232 |
+
[ ] - extrinsic_L4_9 (traces=13 evals=18139)
|
| 233 |
+
[ ] - extrinsic_L4_10 (traces=11 evals=28504)
|
| 234 |
+
|
| 235 |
+
thread '<unnamed>' (744554) panicked at src/universe/term.rs:851:75:
|
| 236 |
+
mid > len
|
| 237 |
+
[ ] - extrinsic_L4_11 (traces=13 evals=26366)
|
| 238 |
+
[ ] - extrinsic_L4_12 (traces=15 evals=22012)
|
| 239 |
+
[ ] - extrinsic_L4_13 (traces=17 evals=23191)
|
| 240 |
+
[ ] - extrinsic_L4_14 (traces=14 evals=27286)
|
| 241 |
+
[ ] - extrinsic_L5_1 (traces=17 evals=30991)
|
| 242 |
+
[ ] - extrinsic_L5_2 (traces=17 evals=24222)
|
| 243 |
+
[ ] - extrinsic_L5_3 (traces=17 evals=15322)
|
| 244 |
+
[ ] - extrinsic_L5_5 (traces=17 evals=24010)
|
| 245 |
+
[ ] - extrinsic_L5_4 (traces=17 evals=20723)
|
| 246 |
+
[ ] - extrinsic_L5_8 (traces=17 evals=18620)
|
| 247 |
+
[ ] - extrinsic_L5_7 (traces=17 evals=19938)
|
| 248 |
+
[ ] - extrinsic_L5_6 (traces=17 evals=35188)
|
| 249 |
+
[ ] - extrinsic_L5_10 (traces=17 evals=18503)
|
| 250 |
+
[ ] - extrinsic_L5_9 (traces=11 evals=18193)
|
| 251 |
+
[ ] - extrinsic_L5_11 (traces=8 evals=64602)
|
| 252 |
+
[ ] - extrinsic_L6_1 (traces=11 evals=26892)
|
| 253 |
+
[ ] - extrinsic_L6_2 (traces=11 evals=47136)
|
| 254 |
+
[ ] - extrinsic_L6_5 (traces=13 evals=26481)
|
| 255 |
+
[ ] - extrinsic_L6_4 (traces=8 evals=19284)
|
| 256 |
+
[ ] - extrinsic_L6_3 (traces=6 evals=53270)
|
| 257 |
+
[ ] - extrinsic_L6_6 (traces=1 evals=214)
|
| 258 |
+
[ ] - extrinsic_L6_7 (traces=17 evals=26892)
|
| 259 |
+
[ ] - extrinsic_L6_9 (traces=17 evals=22413)
|
| 260 |
+
[ ] - extrinsic_L6_8 (traces=3 evals=56056)
|
| 261 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 262 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 263 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 264 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 265 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 266 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 267 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 268 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 269 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 270 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 271 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 272 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 273 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 274 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 275 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 276 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 277 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 278 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 279 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 280 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 281 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 282 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 283 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 284 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 285 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 286 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 287 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 288 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 289 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 290 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 291 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 292 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 293 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 294 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 295 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 296 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 297 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 298 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 299 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 300 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 301 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 302 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 303 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 304 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 305 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 306 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 307 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 308 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 309 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 310 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 311 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 312 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 313 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 314 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 315 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 316 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 317 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 318 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 319 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 320 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 321 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 322 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 323 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 324 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 325 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 326 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 327 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 328 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 329 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 330 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 331 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 332 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 333 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 334 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 335 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 336 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 337 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 338 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 339 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 340 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 341 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 342 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 343 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 344 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 345 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 346 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 347 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 348 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 349 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 350 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 351 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 352 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 353 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 354 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 355 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 356 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 357 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 358 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 359 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 360 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 361 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 362 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 363 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 364 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 365 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 366 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 367 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 368 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 369 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 370 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 371 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 372 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 373 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 374 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 375 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 376 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 377 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 378 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 379 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 380 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 381 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 382 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 383 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 384 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 385 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 386 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 387 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 388 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 389 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 390 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 391 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 392 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 393 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 394 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 395 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 396 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 397 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 398 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 399 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 400 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 401 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 402 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 403 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 404 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 405 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 406 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 407 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 408 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 409 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 410 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 411 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 412 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 413 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 414 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 415 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 416 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 417 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 418 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 419 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 420 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 421 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 422 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 423 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 424 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 425 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 426 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 427 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 428 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 429 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 430 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 431 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 432 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 433 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 434 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 435 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 436 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 437 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 438 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 439 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 440 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 441 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 442 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 443 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 444 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 445 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 446 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 447 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 448 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 449 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 450 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 451 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 452 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 453 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 454 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 455 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 456 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 457 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 458 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 459 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 460 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 461 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 462 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 463 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 464 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 465 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 466 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 467 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 468 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 469 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 470 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 471 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 472 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 473 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 474 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 475 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 476 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 477 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 478 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 479 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 480 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 481 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 482 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 483 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 484 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 485 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 486 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 487 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 488 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 489 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 490 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 491 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 492 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 493 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 494 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 495 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 496 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 497 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 498 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 499 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 500 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 501 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 502 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 503 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 504 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 505 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 506 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 507 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 508 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 509 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 510 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 511 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 512 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 513 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 514 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 515 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 516 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 517 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 518 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 519 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 520 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 521 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 522 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 523 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 524 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 525 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 526 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 527 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 528 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 529 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 530 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 531 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 532 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 533 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 534 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 535 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 536 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 537 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 538 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 539 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 540 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 541 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 542 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 543 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 544 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 545 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 546 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 547 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 548 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 549 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 550 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 551 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 552 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 553 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 554 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 555 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 556 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 557 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 558 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 559 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 560 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 561 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 562 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 563 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 564 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 565 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 566 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 567 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 568 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 569 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 570 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 571 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 572 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 573 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 574 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 575 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 576 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 577 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 578 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 579 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 580 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 581 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 582 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 583 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 584 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 585 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 586 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 587 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 588 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 589 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 590 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 591 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 592 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 593 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 594 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 595 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 596 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 597 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 598 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 599 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 600 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 601 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 602 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 603 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 604 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 605 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 606 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 607 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 608 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 609 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 610 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 611 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 612 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 613 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 614 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 615 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 616 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 617 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 618 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 619 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 620 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 621 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 622 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 623 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 624 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 625 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 626 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 627 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 628 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 629 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 630 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 631 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 632 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 633 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 634 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 635 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 636 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 637 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 638 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 639 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 640 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 641 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 642 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 643 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 644 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 645 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 646 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 647 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 648 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 649 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 650 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 651 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 652 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 653 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 654 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 655 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 656 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 657 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 658 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 659 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 660 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 661 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 662 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 663 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 664 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 665 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 666 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 667 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 668 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 669 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 670 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 671 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 672 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 673 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 674 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 675 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 676 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 677 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 678 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 679 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 680 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 681 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 682 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 683 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 684 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 685 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 686 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 687 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 688 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 689 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 690 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 691 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 692 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 693 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 694 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 695 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 696 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 697 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 698 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 699 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 700 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 701 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 702 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 703 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 704 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 705 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 706 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 707 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 708 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 709 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 710 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 711 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 712 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 713 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 714 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 715 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 716 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 717 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 718 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 719 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 720 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 721 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 722 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 723 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 724 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 725 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 726 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 727 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 728 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 729 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 730 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 731 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 732 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 733 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 734 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 735 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 736 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 737 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 738 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 739 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 740 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 741 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 742 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 743 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 744 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 745 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 746 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 747 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 748 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 749 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 750 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 751 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 752 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 753 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 754 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 755 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 756 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 757 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 758 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 759 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 760 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 761 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 762 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 763 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 764 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 765 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 766 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 767 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 768 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 769 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 770 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 771 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 772 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 773 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 774 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 775 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 776 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 777 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 778 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 779 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 780 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 781 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 782 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 783 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 784 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 785 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 786 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 787 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 788 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 789 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 790 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 791 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 792 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 793 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 794 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 795 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 796 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 797 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 798 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 799 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 800 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 801 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 802 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 803 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 804 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 805 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 806 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 807 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 808 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 809 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 810 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 811 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 812 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 813 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 814 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 815 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 816 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 817 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 818 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 819 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 820 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 821 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 822 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 823 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 824 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 825 |
+
|
| 826 |
+
Wrote /datadrive/ayush/home/minimoX/learning/experiments/learnability/train_policy_only/minimo_0pt/s44/2026-06-28_05-30-13/updates_0_epoch_2ep_bs64/rollout_extrinsic-95_final.json
|
| 827 |
+
Solved 1/94 in 9116.4s
|
experiments/learnability/train_policy_only/minimo_0pt/s44/2026-06-28_05-30-13/updates_0_epoch_2ep_bs64/rollout_extrinsic-95_mid.log
ADDED
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|
| 1 |
+
L0_1 [('A : prop) -> ['A -> 'A]]
|
| 2 |
+
L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A]
|
| 3 |
+
L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B]
|
| 4 |
+
L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)]
|
| 5 |
+
L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)]
|
| 6 |
+
L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)]
|
| 7 |
+
L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]]
|
| 8 |
+
L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]]
|
| 9 |
+
L0_9 [('A : prop) -> (not 'A) -> 'A -> false]
|
| 10 |
+
L0_10 [false -> ('A : prop) -> 'A]
|
| 11 |
+
L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)]
|
| 12 |
+
L0_12 [('A : prop) -> (or 'A (not 'A))]
|
| 13 |
+
L0_13 [('A : prop) -> ['A -> false] -> (not 'A)]
|
| 14 |
+
L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C]
|
| 15 |
+
L1_1 [('A : prop) -> 'A -> (not (not 'A))]
|
| 16 |
+
L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]]
|
| 17 |
+
L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]]
|
| 18 |
+
L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]]
|
| 19 |
+
L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)]
|
| 20 |
+
L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)]
|
| 21 |
+
L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]]
|
| 22 |
+
L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]]
|
| 23 |
+
L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]]
|
| 24 |
+
L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B]
|
| 25 |
+
L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)]
|
| 26 |
+
L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)]
|
| 27 |
+
L2_9 [('A : prop) -> (iff (and 'A false) false)]
|
| 28 |
+
L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))]
|
| 29 |
+
L2_11 [('A : prop) -> (iff 'A 'A)]
|
| 30 |
+
L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)]
|
| 31 |
+
L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)]
|
| 32 |
+
L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]]
|
| 33 |
+
L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]]
|
| 34 |
+
L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]]
|
| 35 |
+
L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]]
|
| 36 |
+
L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]]
|
| 37 |
+
L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]]
|
| 38 |
+
L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]]
|
| 39 |
+
L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))]
|
| 40 |
+
L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))]
|
| 41 |
+
L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))]
|
| 42 |
+
L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]]
|
| 43 |
+
L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]]
|
| 44 |
+
L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]]
|
| 45 |
+
L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])]
|
| 46 |
+
L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)]
|
| 47 |
+
L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)]
|
| 48 |
+
L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)]
|
| 49 |
+
L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)]
|
| 50 |
+
L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))]
|
| 51 |
+
L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))]
|
| 52 |
+
L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))]
|
| 53 |
+
L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)]
|
| 54 |
+
L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B]
|
| 55 |
+
L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false]
|
| 56 |
+
L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))]
|
| 57 |
+
L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]]
|
| 58 |
+
L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]]
|
| 59 |
+
L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))]
|
| 60 |
+
L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))]
|
| 61 |
+
L4_1 [('A : prop) -> (iff 'A (not (not 'A)))]
|
| 62 |
+
L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]]
|
| 63 |
+
L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B]
|
| 64 |
+
L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]]
|
| 65 |
+
L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]]
|
| 66 |
+
L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]]
|
| 67 |
+
L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]]
|
| 68 |
+
L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))]
|
| 69 |
+
L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]]
|
| 70 |
+
L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])]
|
| 71 |
+
L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A]
|
| 72 |
+
L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A]
|
| 73 |
+
L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])]
|
| 74 |
+
L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]]
|
| 75 |
+
L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))]
|
| 76 |
+
L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))]
|
| 77 |
+
L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)]
|
| 78 |
+
L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)]
|
| 79 |
+
L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))]
|
| 80 |
+
L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))]
|
| 81 |
+
L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))]
|
| 82 |
+
L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))]
|
| 83 |
+
L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))]
|
| 84 |
+
L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))]
|
| 85 |
+
L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])]
|
| 86 |
+
L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)]
|
| 87 |
+
L6_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or (and 'A 'B) (and (not 'A) 'C)) (and (or 'A 'C) (or (not 'A) 'B)))]
|
| 88 |
+
L6_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (and (or 'A 'B) (or (not 'A) 'C)) (or (and 'A 'C) (and (not 'A) 'B)))]
|
| 89 |
+
L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))]
|
| 90 |
+
L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))]
|
| 91 |
+
L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]]
|
| 92 |
+
L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]]
|
| 93 |
+
L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))]
|
| 94 |
+
L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]]
|
| 95 |
+
[ ] - extrinsic_L0_4 (traces=17 evals=23155)
|
| 96 |
+
[ ] - extrinsic_L0_5 (traces=17 evals=28348)
|
| 97 |
+
[OK ] g extrinsic_L0_8 (traces=1 evals=15)
|
| 98 |
+
[ ] - extrinsic_L0_3 (traces=17 evals=28393)
|
| 99 |
+
[ ] - extrinsic_L0_2 (traces=17 evals=23558)
|
| 100 |
+
[OK ] - extrinsic_L0_10 (traces=5 evals=5212)
|
| 101 |
+
[ ] - extrinsic_L0_1 (traces=15 evals=20974)
|
| 102 |
+
[ ] - extrinsic_L0_6 (traces=7 evals=18090)
|
| 103 |
+
|
| 104 |
+
thread '<unnamed>' (924253) panicked at src/universe/term.rs:872:33:
|
| 105 |
+
Ill-typed term (and_el [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C] [[('P : prop) -> ('Q : prop) -> ['P -> 'Q] -> ['Q -> 'P] -> (iff 'P 'Q)] -> (iff [('P : prop) -> ('Q : prop) -> ['P -> 'Q] -> ['Q -> 'P] -> (iff 'P 'Q)] false)] (x0 [('P : prop) -> ('Q : prop) -> ('R : prop) -> (or 'P 'Q) -> ['P -> 'R] -> ['Q -> 'R] -> 'R] [('P : prop) -> ('Q : prop) -> (iff 'P 'Q) -> ['P -> 'Q]] or_e iff_el)): parameter type (and [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C] [[('P : prop) -> ('Q : prop) -> ['P -> 'Q] -> ['Q -> 'P] -> (iff 'P 'Q)] -> (iff [('P : prop) -> ('Q : prop) -> ['P -> 'Q] -> ['Q -> 'P] -> (iff 'P 'Q)] false)]) and value type (and [('P : prop) -> ('Q : prop) -> ('R : prop) -> (or 'P 'Q) -> ['P -> 'R] -> ['Q -> 'R] -> 'R] [('P : prop) -> ('Q : prop) -> (iff 'P 'Q) -> ['P -> 'Q]]) did not unify.
|
| 106 |
+
note: run with `RUST_BACKTRACE=1` environment variable to display a backtrace
|
| 107 |
+
|
| 108 |
+
thread '<unnamed>' (924253) panicked at src/universe/term.rs:872:33:
|
| 109 |
+
Ill-typed term (and_el [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C] [[('P : prop) -> ('Q : prop) -> ['P -> 'Q] -> ['Q -> 'P] -> (iff 'P 'Q)] -> (iff [('P : prop) -> ('Q : prop) -> ['P -> 'Q] -> ['Q -> 'P] -> (iff 'P 'Q)] false)] (x0 [('P : prop) -> ('Q : prop) -> ('R : prop) -> (or 'P 'Q) -> ['P -> 'R] -> ['Q -> 'R] -> 'R] [('P : prop) -> ('Q : prop) -> (iff 'P 'Q) -> ['P -> 'Q]] or_e iff_el)): parameter type (and [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C] [[('P : prop) -> ('Q : prop) -> ['P -> 'Q] -> ['Q -> 'P] -> (iff 'P 'Q)] -> (iff [('P : prop) -> ('Q : prop) -> ['P -> 'Q] -> ['Q -> 'P] -> (iff 'P 'Q)] false)]) and value type (and [('P : prop) -> ('Q : prop) -> ('R : prop) -> (or 'P 'Q) -> ['P -> 'R] -> ['Q -> 'R] -> 'R] [('P : prop) -> ('Q : prop) -> (iff 'P 'Q) -> ['P -> 'Q]]) did not unify.
|
| 110 |
+
[ ] - extrinsic_L0_7 (traces=17 evals=22545)
|
| 111 |
+
[ ] - extrinsic_L0_9 (traces=17 evals=22341)
|
| 112 |
+
[ ] - extrinsic_L0_13 (traces=17 evals=23041)
|
| 113 |
+
[ ] - extrinsic_L0_11 (traces=17 evals=32451)
|
| 114 |
+
[ ] - extrinsic_L0_12 (traces=17 evals=28679)
|
| 115 |
+
[ ] - extrinsic_L0_14 (traces=5 evals=13608)
|
| 116 |
+
|
| 117 |
+
thread '<unnamed>' (924246) panicked at src/universe/term.rs:851:75:
|
| 118 |
+
mid > len
|
| 119 |
+
note: run with `RUST_BACKTRACE=1` environment variable to display a backtrace
|
| 120 |
+
[ ] - extrinsic_L1_1 (traces=17 evals=26875)
|
| 121 |
+
[ ] - extrinsic_L1_2 (traces=17 evals=29230)
|
| 122 |
+
[ ] - extrinsic_L1_3 (traces=17 evals=29832)
|
| 123 |
+
[ ] - extrinsic_L1_4 (traces=17 evals=31861)
|
| 124 |
+
[ ] - extrinsic_L2_1 (traces=17 evals=27431)
|
| 125 |
+
[ ] - extrinsic_L2_2 (traces=17 evals=28764)
|
| 126 |
+
[ ] - extrinsic_L2_4 (traces=17 evals=14329)
|
| 127 |
+
[ ] - extrinsic_L2_3 (traces=15 evals=23037)
|
| 128 |
+
[ ] - extrinsic_L2_6 (traces=17 evals=26885)
|
| 129 |
+
[ ] - extrinsic_L2_5 (traces=11 evals=14412)
|
| 130 |
+
[ ] - extrinsic_L2_8 (traces=17 evals=18367)
|
| 131 |
+
[ ] - extrinsic_L2_7 (traces=14 evals=17103)
|
| 132 |
+
[ ] - extrinsic_L2_9 (traces=14 evals=29705)
|
| 133 |
+
[ ] - extrinsic_L2_10 (traces=15 evals=29551)
|
| 134 |
+
[ ] - extrinsic_L2_12 (traces=17 evals=22008)
|
| 135 |
+
[ ] - extrinsic_L3_1 (traces=17 evals=26728)
|
| 136 |
+
[ ] - extrinsic_L2_11 (traces=13 evals=26370)
|
| 137 |
+
[ ] - extrinsic_L2_13 (traces=9 evals=12173)
|
| 138 |
+
[ ] - extrinsic_L3_2 (traces=12 evals=12569)
|
| 139 |
+
[ ] - extrinsic_L3_3 (traces=6 evals=16980)
|
| 140 |
+
[ ] - extrinsic_L3_6 (traces=17 evals=11451)
|
| 141 |
+
[ ] - extrinsic_L3_4 (traces=13 evals=28124)
|
| 142 |
+
[ ] - extrinsic_L3_5 (traces=13 evals=17425)
|
| 143 |
+
[ ] - extrinsic_L3_7 (traces=17 evals=22739)
|
| 144 |
+
[ ] - extrinsic_L3_8 (traces=17 evals=19219)
|
| 145 |
+
[ ] - extrinsic_L3_9 (traces=17 evals=30355)
|
| 146 |
+
[ ] - extrinsic_L3_11 (traces=17 evals=17216)
|
| 147 |
+
[ ] - extrinsic_L3_10 (traces=17 evals=28814)
|
| 148 |
+
[ ] - extrinsic_L3_12 (traces=17 evals=20673)
|
| 149 |
+
[ ] - extrinsic_L3_13 (traces=13 evals=31594)
|
| 150 |
+
[ ] - extrinsic_L3_14 (traces=17 evals=22505)
|
| 151 |
+
|
| 152 |
+
thread '<unnamed>' (924246) panicked at src/universe/term.rs:851:75:
|
| 153 |
+
mid > len
|
| 154 |
+
[ ] - extrinsic_L3_18 (traces=17 evals=20429)
|
| 155 |
+
[ ] - extrinsic_L3_15 (traces=6 evals=26336)
|
| 156 |
+
[ ] - extrinsic_L3_16 (traces=14 evals=34861)
|
| 157 |
+
[ ] - extrinsic_L3_17 (traces=13 evals=33041)
|
| 158 |
+
[ ] - extrinsic_L3_19 (traces=17 evals=28739)
|
| 159 |
+
[ ] - extrinsic_L3_20 (traces=17 evals=22939)
|
| 160 |
+
[ ] - extrinsic_L3_23 (traces=17 evals=18999)
|
| 161 |
+
[ ] - extrinsic_L3_24 (traces=17 evals=25875)
|
| 162 |
+
[ ] - extrinsic_L3_21 (traces=11 evals=22170)
|
| 163 |
+
[ ] - extrinsic_L3_22 (traces=15 evals=18561)
|
| 164 |
+
[ ] - extrinsic_L3_25 (traces=17 evals=23845)
|
| 165 |
+
[ ] - extrinsic_L3_26 (traces=10 evals=11257)
|
| 166 |
+
[ ] - extrinsic_L3_29 (traces=17 evals=17710)
|
| 167 |
+
[ ] - extrinsic_L3_27 (traces=11 evals=17496)
|
| 168 |
+
[ ] - extrinsic_L3_28 (traces=7 evals=18106)
|
| 169 |
+
[ ] - extrinsic_L4_1 (traces=14 evals=24344)
|
| 170 |
+
[ ] - extrinsic_L4_3 (traces=17 evals=16554)
|
| 171 |
+
[ ] - extrinsic_L4_2 (traces=17 evals=24130)
|
| 172 |
+
|
| 173 |
+
thread '<unnamed>' (924250) panicked at src/universe/term.rs:851:75:
|
| 174 |
+
mid > len
|
| 175 |
+
note: run with `RUST_BACKTRACE=1` environment variable to display a backtrace
|
| 176 |
+
|
| 177 |
+
thread '<unnamed>' (924250) panicked at src/universe/term.rs:851:75:
|
| 178 |
+
mid > len
|
| 179 |
+
|
| 180 |
+
thread '<unnamed>' (924250) panicked at src/universe/term.rs:851:75:
|
| 181 |
+
mid > len
|
| 182 |
+
[ ] - extrinsic_L4_4 (traces=16 evals=20779)
|
| 183 |
+
[ ] - extrinsic_L4_5 (traces=13 evals=26088)
|
| 184 |
+
[ ] - extrinsic_L4_6 (traces=11 evals=19343)
|
| 185 |
+
[ ] - extrinsic_L4_7 (traces=11 evals=27689)
|
| 186 |
+
[ ] - extrinsic_L4_8 (traces=13 evals=14955)
|
| 187 |
+
[ ] - extrinsic_L4_10 (traces=17 evals=18043)
|
| 188 |
+
[ ] - extrinsic_L4_9 (traces=16 evals=20268)
|
| 189 |
+
[ ] - extrinsic_L4_13 (traces=17 evals=22809)
|
| 190 |
+
[ ] - extrinsic_L4_11 (traces=17 evals=29398)
|
| 191 |
+
[ ] - extrinsic_L4_14 (traces=17 evals=21910)
|
| 192 |
+
[ ] - extrinsic_L4_12 (traces=15 evals=20439)
|
| 193 |
+
[ ] - extrinsic_L5_1 (traces=17 evals=25854)
|
| 194 |
+
|
| 195 |
+
thread '<unnamed>' (924252) panicked at src/universe/term.rs:851:75:
|
| 196 |
+
mid > len
|
| 197 |
+
note: run with `RUST_BACKTRACE=1` environment variable to display a backtrace
|
| 198 |
+
[ ] - extrinsic_L5_6 (traces=17 evals=23350)
|
| 199 |
+
[ ] - extrinsic_L5_2 (traces=3 evals=19561)
|
| 200 |
+
[ ] - extrinsic_L5_3 (traces=12 evals=24236)
|
| 201 |
+
[ ] - extrinsic_L5_4 (traces=9 evals=14453)
|
| 202 |
+
[ ] - extrinsic_L5_5 (traces=11 evals=30233)
|
| 203 |
+
[ ] - extrinsic_L5_7 (traces=17 evals=19676)
|
| 204 |
+
[ ] - extrinsic_L5_8 (traces=17 evals=18994)
|
| 205 |
+
|
| 206 |
+
thread '<unnamed>' (924253) panicked at src/universe/term.rs:851:75:
|
| 207 |
+
mid > len
|
| 208 |
+
|
| 209 |
+
thread '<unnamed>' (924253) panicked at src/universe/term.rs:851:75:
|
| 210 |
+
mid > len
|
| 211 |
+
|
| 212 |
+
thread '<unnamed>' (924253) panicked at src/universe/term.rs:851:75:
|
| 213 |
+
mid > len
|
| 214 |
+
[ ] - extrinsic_L5_9 (traces=13 evals=30688)
|
| 215 |
+
[ ] - extrinsic_L5_10 (traces=7 evals=22307)
|
| 216 |
+
[ ] - extrinsic_L5_11 (traces=15 evals=23897)
|
| 217 |
+
[ ] - extrinsic_L6_1 (traces=14 evals=9991)
|
| 218 |
+
[ ] - extrinsic_L6_2 (traces=17 evals=24958)
|
experiments/learnability/train_policy_only/minimo_0pt/s44/2026-06-28_05-30-13/updates_0_epoch_2ep_bs64/train_stats.json
ADDED
|
@@ -0,0 +1,3 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
{
|
| 2 |
+
"total_gradient_steps": 50
|
| 3 |
+
}
|