| L0_1 [('A : prop) -> ['A -> 'A]] |
| L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A] |
| L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B] |
| L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)] |
| L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)] |
| L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)] |
| L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]] |
| L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]] |
| L0_9 [('A : prop) -> (not 'A) -> 'A -> false] |
| L0_10 [false -> ('A : prop) -> 'A] |
| L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)] |
| L0_12 [('A : prop) -> (or 'A (not 'A))] |
| L0_13 [('A : prop) -> ['A -> false] -> (not 'A)] |
| L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C] |
| L1_1 [('A : prop) -> 'A -> (not (not 'A))] |
| L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]] |
| L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]] |
| L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]] |
| L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)] |
| L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)] |
| L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]] |
| L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]] |
| L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]] |
| L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B] |
| L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)] |
| L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)] |
| L2_9 [('A : prop) -> (iff (and 'A false) false)] |
| L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))] |
| L2_11 [('A : prop) -> (iff 'A 'A)] |
| L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)] |
| L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)] |
| L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]] |
| L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]] |
| L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]] |
| L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]] |
| L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]] |
| L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]] |
| L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]] |
| L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))] |
| L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))] |
| L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))] |
| L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]] |
| L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]] |
| L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]] |
| L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])] |
| L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)] |
| L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)] |
| L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)] |
| L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)] |
| L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))] |
| L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))] |
| L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))] |
| L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)] |
| L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B] |
| L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false] |
| L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))] |
| L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]] |
| L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]] |
| L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))] |
| L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))] |
| L4_1 [('A : prop) -> (iff 'A (not (not 'A)))] |
| L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]] |
| L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B] |
| L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]] |
| L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]] |
| L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]] |
| L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]] |
| L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))] |
| L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]] |
| L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])] |
| L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A] |
| L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A] |
| L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])] |
| L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]] |
| L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))] |
| L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))] |
| L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)] |
| L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)] |
| L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))] |
| L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))] |
| L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))] |
| L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))] |
| L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))] |
| L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))] |
| L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])] |
| L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)] |
| 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)))] |
| 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)))] |
| L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))] |
| L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))] |
| L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]] |
| L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]] |
| L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))] |
| L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]] |
| [OK ] extrinsic_L0_1 (solved pops=2 evals=6 maxopen=3) |
| [OK ] extrinsic_L0_3 (solved pops=5 evals=14 maxopen=10) |
| [OK ] extrinsic_L0_6 (solved pops=5 evals=14 maxopen=10) |
| [OK ] extrinsic_L0_5 (solved pops=9 evals=48 maxopen=40) |
| [OK ] extrinsic_L0_4 (solved pops=11 evals=68 maxopen=58) |
| [OK ] extrinsic_L0_2 (solved pops=14 evals=76 maxopen=63) |
| [OK ] extrinsic_L0_10 (solved pops=4 evals=9 maxopen=6) |
| [OK ] extrinsic_L0_8 (solved pops=13 evals=75 maxopen=63) |
| [OK ] extrinsic_L0_13 (solved pops=4 evals=10 maxopen=7) |
| [OK ] extrinsic_L0_9 (solved pops=11 evals=69 maxopen=43) |
| [OK ] extrinsic_L0_7 (solved pops=17 evals=84 maxopen=68) |
| [OK ] extrinsic_L0_11 (solved pops=15 evals=76 maxopen=62) |
| [OK ] extrinsic_L0_12 (solved pops=14 evals=59 maxopen=29) |
| [OK ] extrinsic_L1_4 (solved pops=4 evals=12 maxopen=7) |
| [OK ] extrinsic_L1_1 (solved pops=16 evals=97 maxopen=64) |
| [OK ] extrinsic_L1_2 (solved pops=26 evals=198 maxopen=154) |
| [OK ] extrinsic_L1_3 (solved pops=25 evals=182 maxopen=139) |
| [OK ] extrinsic_L0_14 (solved pops=44 evals=285 maxopen=242) |
| [OK ] extrinsic_L2_1 (solved pops=66 evals=351 maxopen=286) |
| [OK ] extrinsic_L2_7 (solved pops=32 evals=192 maxopen=161) |
| [OK ] extrinsic_L2_4 (solved pops=86 evals=567 maxopen=482) |
| [OK ] extrinsic_L2_3 (solved pops=104 evals=679 maxopen=576) |
| [OK ] extrinsic_L2_9 (solved pops=47 evals=356 maxopen=310) |
| [OK ] extrinsic_L2_11 (solved pops=5 evals=13 maxopen=7) |
| [OK ] extrinsic_L2_10 (solved pops=46 evals=313 maxopen=268) |
| [OK ] extrinsic_L2_6 (solved pops=148 evals=852 maxopen=705) |
| [OK ] extrinsic_L2_8 (solved pops=100 evals=597 maxopen=498) |
| [OK ] extrinsic_L3_1 (solved pops=61 evals=445 maxopen=385) |
| [OK ] extrinsic_L2_12 (solved pops=109 evals=652 maxopen=544) |
| [OK ] extrinsic_L3_3 (solved pops=40 evals=266 maxopen=227) |
| [OK ] extrinsic_L3_4 (solved pops=82 evals=587 maxopen=485) |
| [OK ] extrinsic_L3_5 (solved pops=83 evals=618 maxopen=515) |
| [OK ] extrinsic_L2_2 (solved pops=410 evals=2108 maxopen=1699) |
| [OK ] extrinsic_L3_2 (solved pops=473 evals=2519 maxopen=2047) |
| [OK ] extrinsic_L2_5 (solved pops=795 evals=4382 maxopen=3588) |
| [OK ] extrinsic_L3_6 (solved pops=740 evals=4100 maxopen=3361) |
| [OK ] extrinsic_L3_11 (solved pops=252 evals=1326 maxopen=1072) |
| [OK ] extrinsic_L3_12 (solved pops=217 evals=1157 maxopen=941) |
| [OK ] extrinsic_L3_13 (solved pops=30 evals=185 maxopen=156) |
| [OK ] extrinsic_L3_14 (solved pops=46 evals=338 maxopen=293) |
| [OK ] extrinsic_L3_15 (solved pops=1663 evals=9917 maxopen=8255) |
| [OK ] extrinsic_L3_16 (solved pops=181 evals=979 maxopen=799) |
| [ ] extrinsic_L2_13 (budget pops=4000 evals=25210 maxopen=21211) |
| [ ] extrinsic_L3_7 (budget pops=4000 evals=24794 maxopen=20795) |
| [OK ] extrinsic_L3_18 (solved pops=592 evals=3428 maxopen=2816) |
| [OK ] extrinsic_L3_17 (solved pops=1359 evals=8178 maxopen=6801) |
| [ ] extrinsic_L3_8 (budget pops=4000 evals=28200 maxopen=24201) |
| [ ] extrinsic_L3_9 (budget pops=4000 evals=25416 maxopen=21417) |
| [ ] extrinsic_L3_10 (budget pops=4000 evals=26882 maxopen=22883) |
| [OK ] extrinsic_L3_23 (solved pops=477 evals=2990 maxopen=2514) |
| [OK ] extrinsic_L3_25 (solved pops=495 evals=2874 maxopen=2360) |
| [ ] extrinsic_L3_19 (budget pops=4000 evals=23887 maxopen=19888) |
| [ ] extrinsic_L3_24 (budget pops=4000 evals=27030 maxopen=23031) |
| [ ] extrinsic_L3_20 (budget pops=4000 evals=25074 maxopen=21075) |
| [ ] extrinsic_L3_21 (budget pops=4000 evals=24618 maxopen=20619) |
| [ ] extrinsic_L3_22 (budget pops=4000 evals=24240 maxopen=20241) |
| [ ] extrinsic_L3_26 (budget pops=4000 evals=28211 maxopen=24212) |
| [OK ] extrinsic_L4_3 (solved pops=989 evals=5608 maxopen=4620) |
| [ ] extrinsic_L4_1 (budget pops=4000 evals=26839 maxopen=22840) |
| [OK ] extrinsic_L4_2 (solved pops=3886 evals=32218 maxopen=28333) |
| [ ] extrinsic_L3_27 (budget pops=4000 evals=26923 maxopen=22924) |
| [ ] extrinsic_L3_28 (budget pops=4000 evals=26199 maxopen=22200) |
| [ ] extrinsic_L4_4 (budget pops=4000 evals=28098 maxopen=24099) |
| [ ] extrinsic_L3_29 (budget pops=4000 evals=33376 maxopen=29377) |
| [ ] extrinsic_L4_5 (budget pops=4000 evals=29691 maxopen=25692) |
| [ ] extrinsic_L4_6 (budget pops=4000 evals=28385 maxopen=24386) |
| [OK ] extrinsic_L4_12 (solved pops=139 evals=808 maxopen=667) |
| [ ] extrinsic_L4_7 (budget pops=4000 evals=24224 maxopen=20225) |
| [ ] extrinsic_L4_8 (budget pops=4000 evals=27966 maxopen=23967) |
| [ ] extrinsic_L4_9 (budget pops=4000 evals=24187 maxopen=20188) |
| [ ] extrinsic_L4_10 (budget pops=4000 evals=28454 maxopen=24455) |
| [ ] extrinsic_L4_13 (budget pops=4000 evals=27712 maxopen=23713) |
| [ ] extrinsic_L4_11 (budget pops=4000 evals=32557 maxopen=28558) |
| [ ] extrinsic_L4_14 (budget pops=4000 evals=27657 maxopen=23658) |
| [ ] extrinsic_L5_1 (budget pops=4000 evals=30373 maxopen=26374) |
| [ ] extrinsic_L5_2 (budget pops=4000 evals=29841 maxopen=25842) |
| [ ] extrinsic_L5_3 (budget pops=4000 evals=30605 maxopen=26606) |
| [ ] extrinsic_L5_6 (budget pops=4000 evals=23774 maxopen=19775) |
| [ ] extrinsic_L5_5 (budget pops=4000 evals=30765 maxopen=26766) |
| [ ] extrinsic_L5_4 (budget pops=4000 evals=30439 maxopen=26440) |
| [OK ] extrinsic_L6_1 (solved pops=344 evals=1958 maxopen=1615) |
| [ ] extrinsic_L5_7 (budget pops=4000 evals=30080 maxopen=26081) |
| [ ] extrinsic_L5_11 (budget pops=4000 evals=30864 maxopen=26865) |
| [ ] extrinsic_L5_8 (budget pops=4000 evals=31602 maxopen=27603) |
| [ ] extrinsic_L5_9 (budget pops=4000 evals=30833 maxopen=26834) |
| [ ] extrinsic_L5_10 (budget pops=4000 evals=33105 maxopen=29106) |
| [ ] extrinsic_L6_2 (budget pops=4000 evals=29263 maxopen=25264) |
| [ ] extrinsic_L6_3 (budget pops=4000 evals=27721 maxopen=23722) |
| [ ] extrinsic_L6_4 (budget pops=4000 evals=27734 maxopen=23735) |
| [ ] extrinsic_L6_5 (budget pops=4000 evals=28157 maxopen=24158) |
| [ ] extrinsic_L6_6 (budget pops=4000 evals=25708 maxopen=21709) |
| [ ] extrinsic_L6_7 (budget pops=4000 evals=24357 maxopen=20358) |
| [ ] extrinsic_L6_9 (budget pops=4000 evals=24500 maxopen=20501) |
| [ ] extrinsic_L6_8 (budget pops=4000 evals=25221 maxopen=21222) |
| L0_1 [('A : prop) -> ['A -> 'A]] |
| L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A] |
| L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B] |
| L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)] |
| L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)] |
| L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)] |
| L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]] |
| L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]] |
| L0_9 [('A : prop) -> (not 'A) -> 'A -> false] |
| L0_10 [false -> ('A : prop) -> 'A] |
| L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)] |
| L0_12 [('A : prop) -> (or 'A (not 'A))] |
| L0_13 [('A : prop) -> ['A -> false] -> (not 'A)] |
| L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C] |
| L1_1 [('A : prop) -> 'A -> (not (not 'A))] |
| L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]] |
| L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]] |
| L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]] |
| L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)] |
| L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)] |
| L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]] |
| L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]] |
| L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]] |
| L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B] |
| L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)] |
| L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)] |
| L2_9 [('A : prop) -> (iff (and 'A false) false)] |
| L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))] |
| L2_11 [('A : prop) -> (iff 'A 'A)] |
| L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)] |
| L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)] |
| L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]] |
| L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]] |
| L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]] |
| L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]] |
| L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]] |
| L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]] |
| L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]] |
| L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))] |
| L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))] |
| L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))] |
| L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]] |
| L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]] |
| L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]] |
| L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])] |
| L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)] |
| L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)] |
| L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)] |
| L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)] |
| L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))] |
| L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))] |
| L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))] |
| L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)] |
| L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B] |
| L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false] |
| L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))] |
| L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]] |
| L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]] |
| L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))] |
| L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))] |
| L4_1 [('A : prop) -> (iff 'A (not (not 'A)))] |
| L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]] |
| L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B] |
| L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]] |
| L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]] |
| L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]] |
| L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]] |
| L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))] |
| L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]] |
| L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])] |
| L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A] |
| L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A] |
| L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])] |
| L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]] |
| L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))] |
| L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))] |
| L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)] |
| L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)] |
| L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))] |
| L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))] |
| L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))] |
| L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))] |
| L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))] |
| L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))] |
| L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])] |
| L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)] |
| 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)))] |
| 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)))] |
| L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))] |
| L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))] |
| L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]] |
| L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]] |
| L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))] |
| L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]] |
| L0_1 [('A : prop) -> ['A -> 'A]] |
| L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A] |
| L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B] |
| L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)] |
| L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)] |
| L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)] |
| L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]] |
| L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]] |
| L0_9 [('A : prop) -> (not 'A) -> 'A -> false] |
| L0_10 [false -> ('A : prop) -> 'A] |
| L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)] |
| L0_12 [('A : prop) -> (or 'A (not 'A))] |
| L0_13 [('A : prop) -> ['A -> false] -> (not 'A)] |
| L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C] |
| L1_1 [('A : prop) -> 'A -> (not (not 'A))] |
| L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]] |
| L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]] |
| L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]] |
| L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)] |
| L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)] |
| L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]] |
| L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]] |
| L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]] |
| L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B] |
| L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)] |
| L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)] |
| L2_9 [('A : prop) -> (iff (and 'A false) false)] |
| L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))] |
| L2_11 [('A : prop) -> (iff 'A 'A)] |
| L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)] |
| L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)] |
| L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]] |
| L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]] |
| L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]] |
| L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]] |
| L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]] |
| L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]] |
| L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]] |
| L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))] |
| L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))] |
| L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))] |
| L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]] |
| L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]] |
| L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]] |
| L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])] |
| L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)] |
| L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)] |
| L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)] |
| L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)] |
| L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))] |
| L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))] |
| L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))] |
| L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)] |
| L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B] |
| L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false] |
| L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))] |
| L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]] |
| L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]] |
| L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))] |
| L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))] |
| L4_1 [('A : prop) -> (iff 'A (not (not 'A)))] |
| L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]] |
| L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B] |
| L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]] |
| L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]] |
| L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]] |
| L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]] |
| L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))] |
| L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]] |
| L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])] |
| L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A] |
| L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A] |
| L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])] |
| L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]] |
| L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))] |
| L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))] |
| L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)] |
| L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)] |
| L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))] |
| L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))] |
| L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))] |
| L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))] |
| L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))] |
| L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))] |
| L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])] |
| L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)] |
| 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)))] |
| 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)))] |
| L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))] |
| L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))] |
| L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]] |
| L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]] |
| L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))] |
| L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]] |
| L0_1 [('A : prop) -> ['A -> 'A]] |
| L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A] |
| L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B] |
| L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)] |
| L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)] |
| L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)] |
| L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]] |
| L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]] |
| L0_9 [('A : prop) -> (not 'A) -> 'A -> false] |
| L0_10 [false -> ('A : prop) -> 'A] |
| L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)] |
| L0_12 [('A : prop) -> (or 'A (not 'A))] |
| L0_13 [('A : prop) -> ['A -> false] -> (not 'A)] |
| L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C] |
| L1_1 [('A : prop) -> 'A -> (not (not 'A))] |
| L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]] |
| L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]] |
| L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]] |
| L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)] |
| L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)] |
| L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]] |
| L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]] |
| L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]] |
| L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B] |
| L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)] |
| L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)] |
| L2_9 [('A : prop) -> (iff (and 'A false) false)] |
| L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))] |
| L2_11 [('A : prop) -> (iff 'A 'A)] |
| L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)] |
| L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)] |
| L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]] |
| L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]] |
| L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]] |
| L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]] |
| L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]] |
| L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]] |
| L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]] |
| L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))] |
| L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))] |
| L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))] |
| L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]] |
| L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]] |
| L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]] |
| L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])] |
| L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)] |
| L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)] |
| L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)] |
| L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)] |
| L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))] |
| L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))] |
| L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))] |
| L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)] |
| L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B] |
| L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false] |
| L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))] |
| L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]] |
| L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]] |
| L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))] |
| L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))] |
| L4_1 [('A : prop) -> (iff 'A (not (not 'A)))] |
| L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]] |
| L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B] |
| L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]] |
| L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]] |
| L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]] |
| L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]] |
| L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))] |
| L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]] |
| L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])] |
| L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A] |
| L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A] |
| L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])] |
| L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]] |
| L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))] |
| L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))] |
| L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)] |
| L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)] |
| L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))] |
| L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))] |
| L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))] |
| L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))] |
| L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))] |
| L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))] |
| L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])] |
| L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)] |
| 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)))] |
| 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)))] |
| L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))] |
| L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))] |
| L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]] |
| L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]] |
| L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))] |
| L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]] |
| L0_1 [('A : prop) -> ['A -> 'A]] |
| L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A] |
| L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B] |
| L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)] |
| L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)] |
| L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)] |
| L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]] |
| L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]] |
| L0_9 [('A : prop) -> (not 'A) -> 'A -> false] |
| L0_10 [false -> ('A : prop) -> 'A] |
| L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)] |
| L0_12 [('A : prop) -> (or 'A (not 'A))] |
| L0_13 [('A : prop) -> ['A -> false] -> (not 'A)] |
| L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C] |
| L1_1 [('A : prop) -> 'A -> (not (not 'A))] |
| L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]] |
| L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]] |
| L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]] |
| L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)] |
| L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)] |
| L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]] |
| L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]] |
| L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]] |
| L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B] |
| L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)] |
| L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)] |
| L2_9 [('A : prop) -> (iff (and 'A false) false)] |
| L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))] |
| L2_11 [('A : prop) -> (iff 'A 'A)] |
| L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)] |
| L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)] |
| L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]] |
| L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]] |
| L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]] |
| L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]] |
| L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]] |
| L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]] |
| L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]] |
| L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))] |
| L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))] |
| L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))] |
| L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]] |
| L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]] |
| L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]] |
| L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])] |
| L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)] |
| L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)] |
| L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)] |
| L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)] |
| L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))] |
| L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))] |
| L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))] |
| L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)] |
| L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B] |
| L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false] |
| L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))] |
| L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]] |
| L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]] |
| L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))] |
| L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))] |
| L4_1 [('A : prop) -> (iff 'A (not (not 'A)))] |
| L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]] |
| L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B] |
| L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]] |
| L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]] |
| L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]] |
| L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]] |
| L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))] |
| L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]] |
| L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])] |
| L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A] |
| L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A] |
| L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])] |
| L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]] |
| L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))] |
| L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))] |
| L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)] |
| L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)] |
| L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))] |
| L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))] |
| L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))] |
| L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))] |
| L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))] |
| L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))] |
| L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])] |
| L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)] |
| 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)))] |
| 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)))] |
| L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))] |
| L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))] |
| L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]] |
| L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]] |
| L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))] |
| L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]] |
| L0_1 [('A : prop) -> ['A -> 'A]] |
| L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A] |
| L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B] |
| L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)] |
| L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)] |
| L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)] |
| L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]] |
| L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]] |
| L0_9 [('A : prop) -> (not 'A) -> 'A -> false] |
| L0_10 [false -> ('A : prop) -> 'A] |
| L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)] |
| L0_12 [('A : prop) -> (or 'A (not 'A))] |
| L0_13 [('A : prop) -> ['A -> false] -> (not 'A)] |
| L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C] |
| L1_1 [('A : prop) -> 'A -> (not (not 'A))] |
| L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]] |
| L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]] |
| L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]] |
| L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)] |
| L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)] |
| L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]] |
| L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]] |
| L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]] |
| L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B] |
| L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)] |
| L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)] |
| L2_9 [('A : prop) -> (iff (and 'A false) false)] |
| L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))] |
| L2_11 [('A : prop) -> (iff 'A 'A)] |
| L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)] |
| L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)] |
| L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]] |
| L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]] |
| L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]] |
| L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]] |
| L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]] |
| L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]] |
| L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]] |
| L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))] |
| L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))] |
| L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))] |
| L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]] |
| L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]] |
| L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]] |
| L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])] |
| L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)] |
| L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)] |
| L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)] |
| L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)] |
| L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))] |
| L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))] |
| L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))] |
| L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)] |
| L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B] |
| L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false] |
| L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))] |
| L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]] |
| L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]] |
| L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))] |
| L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))] |
| L4_1 [('A : prop) -> (iff 'A (not (not 'A)))] |
| L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]] |
| L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B] |
| L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]] |
| L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]] |
| L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]] |
| L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]] |
| L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))] |
| L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]] |
| L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])] |
| L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A] |
| L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A] |
| L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])] |
| L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]] |
| L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))] |
| L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))] |
| L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)] |
| L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)] |
| L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))] |
| L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))] |
| L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))] |
| L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))] |
| L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))] |
| L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))] |
| L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])] |
| L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)] |
| 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)))] |
| 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)))] |
| L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))] |
| L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))] |
| L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]] |
| L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]] |
| L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))] |
| L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]] |
| L0_1 [('A : prop) -> ['A -> 'A]] |
| L0_2 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'A] |
| L0_3 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> 'B] |
| L0_4 [('A : prop) -> ('B : prop) -> 'A -> 'B -> (and 'A 'B)] |
| L0_5 [('A : prop) -> ('B : prop) -> 'A -> (or 'A 'B)] |
| L0_6 [('A : prop) -> ('B : prop) -> 'B -> (or 'A 'B)] |
| L0_7 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['A -> 'B]] |
| L0_8 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> ['B -> 'A]] |
| L0_9 [('A : prop) -> (not 'A) -> 'A -> false] |
| L0_10 [false -> ('A : prop) -> 'A] |
| L0_11 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['B -> 'A] -> (iff 'A 'B)] |
| L0_12 [('A : prop) -> (or 'A (not 'A))] |
| L0_13 [('A : prop) -> ['A -> false] -> (not 'A)] |
| L0_14 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A 'B) -> ['A -> 'C] -> ['B -> 'C] -> 'C] |
| L1_1 [('A : prop) -> 'A -> (not (not 'A))] |
| L1_2 [('A : prop) -> ('B : prop) -> [(not 'A) -> ['A -> 'B]]] |
| L1_3 [('A : prop) -> ('B : prop) -> ['A -> [(not 'A) -> 'B]]] |
| L1_4 [('A : prop) -> ('B : prop) -> ['B -> ['A -> 'B]]] |
| L2_1 [('A : prop) -> ('B : prop) -> (and 'A 'B) -> (and 'B 'A)] |
| L2_2 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> (or 'B 'A)] |
| L2_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['B -> 'C] -> ['A -> 'C]]] |
| L2_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [['C -> 'A] -> ['C -> 'B]]] |
| L2_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'C 'A) -> (and 'C 'B)]] |
| L2_6 [('A : prop) -> ('B : prop) -> (and (not 'A) 'A) -> 'B] |
| L2_7 [('A : prop) -> (iff (and 'A 'A) 'A)] |
| L2_8 [('A : prop) -> (iff (or 'A 'A) 'A)] |
| L2_9 [('A : prop) -> (iff (and 'A false) false)] |
| L2_10 [('A : prop) -> ('B : prop) -> 'A -> (iff 'B (and 'A 'B))] |
| L2_11 [('A : prop) -> (iff 'A 'A)] |
| L2_12 [('A : prop) -> ('B : prop) -> (iff 'A 'B) -> (iff 'B 'A)] |
| L2_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff 'A 'B) -> (iff 'B 'C) -> (iff 'A 'C)] |
| L3_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> ['B -> ['A -> 'C]]] |
| L3_2 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(and 'A 'B) -> 'C]] |
| L3_3 [('A : prop) -> ('B : prop) -> ('C : prop) -> [(and 'A 'B) -> 'C] -> ['A -> ['B -> 'C]]] |
| L3_4 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'B) -> (not 'A)]] |
| L3_5 [('A : prop) -> ('B : prop) -> ['A -> (not 'B)] -> ['B -> (not 'A)]] |
| L3_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(and 'A 'C) -> (and 'B 'C)]] |
| L3_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> [(or 'A 'C) -> (or 'B 'C)]] |
| L3_8 [('A : prop) -> ('B : prop) -> (not (or 'A 'B)) -> (and (not 'A) (not 'B))] |
| L3_9 [('A : prop) -> ('B : prop) -> (and (not 'A) (not 'B)) -> (not (or 'A 'B))] |
| L3_10 [('A : prop) -> ('B : prop) -> (or (not 'A) (not 'B)) -> (not (and 'A 'B))] |
| L3_11 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'A) -> 'B]] |
| L3_12 [('A : prop) -> ('B : prop) -> (or 'A 'B) -> [(not 'B) -> 'A]] |
| L3_13 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'C] -> ['B -> 'C] -> [(or 'A 'B) -> 'C]] |
| L3_14 [('A : prop) -> (iff (not 'A) ['A -> false])] |
| L3_15 [('A : prop) -> ('B : prop) -> (iff (or 'A (and 'A 'B)) 'A)] |
| L3_16 [('A : prop) -> ('B : prop) -> (iff (and 'A (or 'A 'B)) 'A)] |
| L3_17 [('A : prop) -> (not (not (not 'A))) -> (not 'A)] |
| L3_18 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> ['A -> (not 'B)] -> (not 'A)] |
| L3_19 [('A : prop) -> ('B : prop) -> ('C : prop) -> (and 'A (or 'B 'C)) -> (or (and 'A 'B) (and 'A 'C))] |
| L3_20 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A 'B) (and 'A 'C)) -> (and 'A (or 'B 'C))] |
| L3_21 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (and 'B 'C)) -> (and (or 'A 'B) (or 'A 'C))] |
| L3_22 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or 'A (or 'B 'C)) -> (or (or 'A 'B) 'C)] |
| L3_23 [('A : prop) -> ('B : prop) -> (or (and 'A 'B) (and (not 'A) 'B)) -> 'B] |
| L3_24 [('A : prop) -> (iff 'A (not 'A)) -> false] |
| L3_25 [('A : prop) -> (not (not (or 'A (not 'A))))] |
| L3_26 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> ['B -> 'C]] -> [(not (not 'A)) -> [(not (not 'B)) -> (not (not 'C))]]] |
| L3_27 [('A : prop) -> ('B : prop) -> (not (not ['A -> 'B])) -> [(not (not 'A)) -> (not (not 'B))]] |
| L3_28 [('A : prop) -> ('B : prop) -> ('C : prop) -> (not (not ['A -> 'B])) -> (not (not ['B -> 'C])) -> (not (not ['A -> 'C]))] |
| L3_29 [('A : prop) -> ('B : prop) -> (iff (not (not (and 'A 'B))) (and (not (not 'A)) (not (not 'B))))] |
| L4_1 [('A : prop) -> (iff 'A (not (not 'A)))] |
| L4_2 [('A : prop) -> [(not (not 'A)) -> 'A]] |
| L4_3 [('A : prop) -> ('B : prop) -> ['A -> 'B] -> [(not 'A) -> 'B] -> 'B] |
| L4_4 [('A : prop) -> ('B : prop) -> [(not 'A) -> (not 'B)] -> ['B -> 'A]] |
| L4_5 [('A : prop) -> ('B : prop) -> [[(not 'B) -> (not 'A)] -> ['A -> 'B]]] |
| L4_6 [('A : prop) -> ('B : prop) -> [(not 'A) -> 'B] -> [(not 'B) -> 'A]] |
| L4_7 [('A : prop) -> ('B : prop) -> [(not (and 'A 'B)) -> (or (not 'A) (not 'B))]] |
| L4_8 [('A : prop) -> ('B : prop) -> (iff ['A -> 'B] (or (not 'A) 'B))] |
| L4_9 [('A : prop) -> ('B : prop) -> [['A -> 'B] -> (or (not 'A) 'B)]] |
| L4_10 [('A : prop) -> ('B : prop) -> (or 'A ['A -> 'B])] |
| L4_11 [('A : prop) -> (not ['A -> (not 'A)]) -> 'A] |
| L4_12 [('A : prop) -> [(not 'A) -> 'A] -> 'A] |
| L4_13 [('A : prop) -> ('B : prop) -> (or ['A -> 'B] ['B -> 'A])] |
| L4_14 [('A : prop) -> ('B : prop) -> [[['A -> 'B] -> 'A] -> 'A]] |
| L5_1 [('A : prop) -> ('B : prop) -> (iff (or 'A (and (not 'A) 'B)) (or 'A 'B))] |
| L5_2 [('A : prop) -> ('B : prop) -> (iff (and 'A (or (not 'A) 'B)) (and 'A 'B))] |
| L5_3 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and 'A (not 'B))) 'A)] |
| L5_4 [('A : prop) -> ('B : prop) -> (iff (and (or 'A 'B) (or 'A (not 'B))) 'A)] |
| L5_5 [('A : prop) -> ('B : prop) -> (iff (not ['A -> 'B]) (and 'A (not 'B)))] |
| L5_6 [('A : prop) -> ('B : prop) -> (or (iff 'A 'B) (iff 'A (not 'B)))] |
| L5_7 [('A : prop) -> ('B : prop) -> (iff (not (iff 'A 'B)) (iff 'A (not 'B)))] |
| L5_8 [('A : prop) -> ('B : prop) -> (iff (iff 'A 'B) (and (or 'A (not 'B)) (or (not 'A) 'B)))] |
| L5_9 [('A : prop) -> ('B : prop) -> (iff (or (and 'A 'B) (and (not 'A) (not 'B))) (iff 'A 'B))] |
| L5_10 [('A : prop) -> ('B : prop) -> (iff (or (and 'A (not 'B)) (and (not 'A) 'B)) (not (iff 'A 'B)))] |
| L5_11 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or ['A -> 'B] ['B -> 'C])] |
| L6_1 [('A : prop) -> ('B : prop) -> ('C : prop) -> ['A -> 'B] -> ['B -> 'C] -> ['C -> 'A] -> (iff 'A 'B)] |
| 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)))] |
| 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)))] |
| L6_4 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (iff 'A (iff 'B 'C)) (iff (iff 'A 'B) 'C))] |
| L6_5 [('A : prop) -> ('B : prop) -> ('C : prop) -> (iff (or 'A (iff 'B 'C)) (iff (or 'A 'B) (or 'A 'C)))] |
| L6_6 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(and 'A 'C) -> (and 'B 'D)]] |
| L6_7 [('A : prop) -> ('B : prop) -> ('C : prop) -> ('D : prop) -> ['A -> 'B] -> ['C -> 'D] -> [(or 'A 'C) -> (or 'B 'D)]] |
| L6_8 [('A : prop) -> ('B : prop) -> ('C : prop) -> (or (and 'A (and 'B 'C)) (or (not 'A) (or (not 'B) (not 'C))))] |
| L6_9 [('A : prop) -> ('B : prop) -> ('C : prop) -> [[(or 'A 'B) -> (or 'A 'C)] -> (or 'A ['B -> 'C])]] |
|
|
| Wrote /datadrive/ayush/home/minimoX/learning/experiments/learnability/bestfirst_eval/minimo_1pt_base_bf_extrinsic-95.json |
| Solved 50/94 in 2150.7s |
|
|
