Hugging Face's logo

Datasets:
MilaAI4Math
/
OpenExpDatasets

Dataset card Files
xet
 Community
OpenExpDatasets / experiments /learnability /bestfirst_eval /minimo_0pt_base_bf_extrinsic-95.log
ayush1801's picture
ayush1801
Upload folder using huggingface_hub
0a351ee verified
Raw
History Blame Contribute Delete
56.7 kB
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=3 evals=21 maxopen=17)
[OK ] extrinsic_L0_6 (solved pops=53 evals=346 maxopen=294)
[OK ] extrinsic_L0_2 (solved pops=55 evals=350 maxopen=296)
[OK ] extrinsic_L0_5 (solved pops=57 evals=353 maxopen=297)
[OK ] extrinsic_L0_3 (solved pops=64 evals=395 maxopen=332)
[OK ] extrinsic_L0_10 (solved pops=11 evals=75 maxopen=65)
[OK ] extrinsic_L0_7 (solved pops=55 evals=352 maxopen=298)
[OK ] extrinsic_L0_12 (solved pops=16 evals=89 maxopen=57)
[OK ] extrinsic_L0_8 (solved pops=53 evals=347 maxopen=295)
[OK ] extrinsic_L0_13 (solved pops=25 evals=176 maxopen=152)
[OK ] extrinsic_L0_9 (solved pops=53 evals=362 maxopen=294)
[OK ] extrinsic_L0_4 (solved pops=201 evals=1060 maxopen=860)
[OK ] extrinsic_L1_4 (solved pops=18 evals=121 maxopen=102)
[OK ] extrinsic_L0_11 (solved pops=210 evals=1157 maxopen=948)
[OK ] extrinsic_L1_1 (solved pops=225 evals=1196 maxopen=954)
[OK ] extrinsic_L1_2 (solved pops=452 evals=2444 maxopen=1993)
[OK ] extrinsic_L1_3 (solved pops=452 evals=2441 maxopen=1990)
[OK ] extrinsic_L2_1 (solved pops=1414 evals=7998 maxopen=6585)
[OK ] extrinsic_L2_6 (solved pops=1418 evals=8021 maxopen=6604)
[OK ] extrinsic_L2_7 (solved pops=898 evals=4947 maxopen=4050)
[ ] extrinsic_L2_2 (budget pops=4000 evals=26022 maxopen=22023)
[ ] extrinsic_L0_14 (budget pops=4000 evals=26308 maxopen=22309)
[ ] extrinsic_L2_3 (budget pops=4000 evals=26017 maxopen=22018)
[OK ] extrinsic_L2_11 (solved pops=22 evals=145 maxopen=122)
[ ] extrinsic_L2_4 (budget pops=4000 evals=26012 maxopen=22013)
[ ] extrinsic_L2_5 (budget pops=4000 evals=25845 maxopen=21846)
[OK ] extrinsic_L2_9 (solved pops=995 evals=5535 maxopen=4541)
[OK ] extrinsic_L2_12 (solved pops=1322 evals=7487 maxopen=6166)
[ ] extrinsic_L2_8 (budget pops=4000 evals=26325 maxopen=22326)
[ ] extrinsic_L2_10 (budget pops=4000 evals=26099 maxopen=22100)
[ ] extrinsic_L2_13 (budget pops=4000 evals=25708 maxopen=21709)
[ ] extrinsic_L3_1 (budget pops=4000 evals=26029 maxopen=22030)
[ ] extrinsic_L3_2 (budget pops=4000 evals=25731 maxopen=21732)
[ ] extrinsic_L3_3 (budget pops=4000 evals=25729 maxopen=21730)
[ ] extrinsic_L3_4 (budget pops=4000 evals=25927 maxopen=21928)
[ ] extrinsic_L3_5 (budget pops=4000 evals=25932 maxopen=21933)
[ ] extrinsic_L3_6 (budget pops=4000 evals=25833 maxopen=21834)
[ ] extrinsic_L3_7 (budget pops=4000 evals=26004 maxopen=22005)
[ ] extrinsic_L3_8 (budget pops=4000 evals=26146 maxopen=22147)
[ ] extrinsic_L3_9 (budget pops=4000 evals=26098 maxopen=22099)
[ ] extrinsic_L3_10 (budget pops=4000 evals=26006 maxopen=22007)
[OK ] extrinsic_L3_13 (solved pops=3008 evals=17936 maxopen=14929)
[OK ] extrinsic_L3_14 (solved pops=3163 evals=19748 maxopen=16586)
[ ] extrinsic_L3_11 (budget pops=4000 evals=25697 maxopen=21698)
[ ] extrinsic_L3_12 (budget pops=4000 evals=25704 maxopen=21705)
[ ] extrinsic_L3_15 (budget pops=4000 evals=26079 maxopen=22080)
[ ] extrinsic_L3_16 (budget pops=4000 evals=26053 maxopen=22054)
[ ] extrinsic_L3_17 (budget pops=4000 evals=25822 maxopen=21823)
[ ] extrinsic_L3_18 (budget pops=4000 evals=26002 maxopen=22003)
[ ] extrinsic_L3_19 (budget pops=4000 evals=25892 maxopen=21893)
[ ] extrinsic_L3_20 (budget pops=4000 evals=26009 maxopen=22010)
[ ] extrinsic_L3_21 (budget pops=4000 evals=25965 maxopen=21966)
[ ] extrinsic_L3_22 (budget pops=4000 evals=26014 maxopen=22015)
[ ] extrinsic_L3_23 (budget pops=4000 evals=26021 maxopen=22022)
[ ] extrinsic_L3_24 (budget pops=4000 evals=26314 maxopen=22315)
[ ] extrinsic_L3_26 (budget pops=4000 evals=26023 maxopen=22024)
[ ] extrinsic_L3_25 (budget pops=4000 evals=27014 maxopen=23015)
[ ] extrinsic_L3_27 (budget pops=4000 evals=25989 maxopen=21990)
[ ] extrinsic_L3_28 (budget pops=4000 evals=25958 maxopen=21959)
[ ] extrinsic_L4_1 (budget pops=4000 evals=26683 maxopen=22684)
[ ] extrinsic_L3_29 (budget pops=4000 evals=26769 maxopen=22770)
[ ] extrinsic_L4_2 (budget pops=4000 evals=25941 maxopen=21942)
[ ] extrinsic_L4_3 (budget pops=4000 evals=25895 maxopen=21896)
[ ] extrinsic_L4_4 (budget pops=4000 evals=25861 maxopen=21862)
[ ] extrinsic_L4_5 (budget pops=4000 evals=25952 maxopen=21953)
[ ] extrinsic_L4_6 (budget pops=4000 evals=25879 maxopen=21880)
[ ] extrinsic_L4_7 (budget pops=4000 evals=26271 maxopen=22272)
[ ] extrinsic_L4_8 (budget pops=4000 evals=25910 maxopen=21911)
[ ] extrinsic_L4_9 (budget pops=4000 evals=26151 maxopen=22152)
[OK ] extrinsic_L4_12 (solved pops=1261 evals=7127 maxopen=5864)
[ ] extrinsic_L4_10 (budget pops=4000 evals=25478 maxopen=21479)
[ ] extrinsic_L4_11 (budget pops=4000 evals=26382 maxopen=22383)
[ ] extrinsic_L4_13 (budget pops=4000 evals=25817 maxopen=21818)
[ ] extrinsic_L4_14 (budget pops=4000 evals=26299 maxopen=22300)
[ ] extrinsic_L5_1 (budget pops=4000 evals=26391 maxopen=22392)
[ ] extrinsic_L5_2 (budget pops=4000 evals=26218 maxopen=22219)
[ ] extrinsic_L5_3 (budget pops=4000 evals=26210 maxopen=22211)
[ ] extrinsic_L5_4 (budget pops=4000 evals=26331 maxopen=22332)
[ ] extrinsic_L5_5 (budget pops=4000 evals=26028 maxopen=22029)
[ ] extrinsic_L5_6 (budget pops=4000 evals=26112 maxopen=22113)
[ ] extrinsic_L5_7 (budget pops=4000 evals=26387 maxopen=22388)
[ ] extrinsic_L5_8 (budget pops=4000 evals=26480 maxopen=22481)
[ ] extrinsic_L5_9 (budget pops=4000 evals=26331 maxopen=22332)
[ ] extrinsic_L5_10 (budget pops=4000 evals=26648 maxopen=22649)
[ ] extrinsic_L6_1 (budget pops=4000 evals=26031 maxopen=22032)
[ ] extrinsic_L5_11 (budget pops=4000 evals=30991 maxopen=26992)
[ ] extrinsic_L6_4 (budget pops=4000 evals=30992 maxopen=26993)
[ ] extrinsic_L6_2 (budget pops=4000 evals=31039 maxopen=27040)
[ ] extrinsic_L6_3 (budget pops=4000 evals=30994 maxopen=26995)
[ ] extrinsic_L6_5 (budget pops=4000 evals=31015 maxopen=27016)
[ ] extrinsic_L6_6 (budget pops=4000 evals=25918 maxopen=21919)
[ ] extrinsic_L6_7 (budget pops=4000 evals=25846 maxopen=21847)
[ ] extrinsic_L6_8 (budget pops=4000 evals=31196 maxopen=27197)
[ ] extrinsic_L6_9 (budget pops=4000 evals=30994 maxopen=26995)
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_0pt_base_bf_extrinsic-95.json
Solved 26/94 in 2773.7s