TSTP Solution File: SEU811^1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU811^1 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 03:51:44 EDT 2024
% Result : Theorem 6.67s 1.43s
% Output : Refutation 6.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU811^1 : TPTP v8.2.0. Released v3.7.0.
% 0.03/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n024.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun May 19 18:07:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a TH0_THM_EQU_NAR problem
% 0.14/0.35 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.40 % (12952)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.21/0.40 % (12954)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.21/0.40 % (12953)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.40 % (12955)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.40 % (12956)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.40 % (12957)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.21/0.40 % (12959)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.40 % (12958)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.21/0.40 % (12955)Instruction limit reached!
% 0.21/0.40 % (12955)------------------------------
% 0.21/0.40 % (12955)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (12955)Termination reason: Unknown
% 0.21/0.40 % (12955)Termination phase: shuffling
% 0.21/0.40 % (12956)Instruction limit reached!
% 0.21/0.40 % (12956)------------------------------
% 0.21/0.40 % (12956)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40
% 0.21/0.40 % (12955)Memory used [KB]: 1663
% 0.21/0.40 % (12955)Time elapsed: 0.003 s
% 0.21/0.40 % (12955)Instructions burned: 2 (million)
% 0.21/0.40 % (12955)------------------------------
% 0.21/0.40 % (12955)------------------------------
% 0.21/0.40 % (12956)Termination reason: Unknown
% 0.21/0.40 % (12956)Termination phase: shuffling
% 0.21/0.40
% 0.21/0.40 % (12956)Memory used [KB]: 1663
% 0.21/0.40 % (12956)Time elapsed: 0.003 s
% 0.21/0.40 % (12956)Instructions burned: 2 (million)
% 0.21/0.40 % (12956)------------------------------
% 0.21/0.40 % (12956)------------------------------
% 0.21/0.40 % (12953)Instruction limit reached!
% 0.21/0.40 % (12953)------------------------------
% 0.21/0.40 % (12953)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (12953)Termination reason: Unknown
% 0.21/0.40 % (12953)Termination phase: shuffling
% 0.21/0.40
% 0.21/0.40 % (12953)Memory used [KB]: 1663
% 0.21/0.40 % (12953)Time elapsed: 0.004 s
% 0.21/0.40 % (12953)Instructions burned: 4 (million)
% 0.21/0.40 % (12953)------------------------------
% 0.21/0.40 % (12953)------------------------------
% 0.21/0.40 % (12959)Instruction limit reached!
% 0.21/0.40 % (12959)------------------------------
% 0.21/0.40 % (12959)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (12959)Termination reason: Unknown
% 0.21/0.40 % (12959)Termination phase: shuffling
% 0.21/0.40
% 0.21/0.40 % (12959)Memory used [KB]: 1663
% 0.21/0.40 % (12959)Time elapsed: 0.004 s
% 0.21/0.40 % (12959)Instructions burned: 4 (million)
% 0.21/0.40 % (12959)------------------------------
% 0.21/0.40 % (12959)------------------------------
% 0.21/0.41 % (12958)Instruction limit reached!
% 0.21/0.41 % (12958)------------------------------
% 0.21/0.41 % (12958)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (12958)Termination reason: Unknown
% 0.21/0.41 % (12958)Termination phase: shuffling
% 0.21/0.41
% 0.21/0.41 % (12958)Memory used [KB]: 1918
% 0.21/0.41 % (12958)Time elapsed: 0.014 s
% 0.21/0.41 % (12958)Instructions burned: 19 (million)
% 0.21/0.41 % (12958)------------------------------
% 0.21/0.41 % (12958)------------------------------
% 0.21/0.42 % (12954)Instruction limit reached!
% 0.21/0.42 % (12954)------------------------------
% 0.21/0.42 % (12954)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (12954)Termination reason: Unknown
% 0.21/0.42 % (12954)Termination phase: shuffling
% 0.21/0.42
% 0.21/0.42 % (12954)Memory used [KB]: 2046
% 0.21/0.42 % (12954)Time elapsed: 0.016 s
% 0.21/0.42 % (12954)Instructions burned: 28 (million)
% 0.21/0.42 % (12954)------------------------------
% 0.21/0.42 % (12954)------------------------------
% 0.21/0.42 % (12961)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.21/0.42 % (12962)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.42 % (12963)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.21/0.42 % (12962)Instruction limit reached!
% 0.21/0.42 % (12962)------------------------------
% 0.21/0.42 % (12962)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (12962)Termination reason: Unknown
% 0.21/0.42 % (12962)Termination phase: shuffling
% 0.21/0.42
% 0.21/0.42 % (12962)Memory used [KB]: 1663
% 0.21/0.42 % (12962)Time elapsed: 0.004 s
% 0.21/0.42 % (12962)Instructions burned: 3 (million)
% 0.21/0.42 % (12962)------------------------------
% 0.21/0.42 % (12962)------------------------------
% 0.21/0.42 % (12960)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.43 % (12961)Instruction limit reached!
% 0.21/0.43 % (12961)------------------------------
% 0.21/0.43 % (12961)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (12961)Termination reason: Unknown
% 0.21/0.43 % (12961)Termination phase: shuffling
% 0.21/0.43
% 0.21/0.43 % (12961)Memory used [KB]: 1918
% 0.21/0.43 % (12961)Time elapsed: 0.012 s
% 0.21/0.43 % (12961)Instructions burned: 15 (million)
% 0.21/0.43 % (12961)------------------------------
% 0.21/0.43 % (12961)------------------------------
% 0.21/0.43 % (12964)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.43 % (12965)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.43 % (12964)Instruction limit reached!
% 0.21/0.43 % (12964)------------------------------
% 0.21/0.43 % (12964)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (12964)Termination reason: Unknown
% 0.21/0.43 % (12964)Termination phase: shuffling
% 0.21/0.43
% 0.21/0.43 % (12964)Memory used [KB]: 1663
% 0.21/0.43 % (12964)Time elapsed: 0.006 s
% 0.21/0.43 % (12964)Instructions burned: 7 (million)
% 0.21/0.43 % (12964)------------------------------
% 0.21/0.43 % (12964)------------------------------
% 0.21/0.44 % (12966)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.44 % (12966)Instruction limit reached!
% 0.21/0.44 % (12966)------------------------------
% 0.21/0.44 % (12966)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (12966)Termination reason: Unknown
% 0.21/0.44 % (12966)Termination phase: shuffling
% 0.21/0.44
% 0.21/0.44 % (12966)Memory used [KB]: 1663
% 0.21/0.44 % (12966)Time elapsed: 0.003 s
% 0.21/0.44 % (12966)Instructions burned: 3 (million)
% 0.21/0.44 % (12966)------------------------------
% 0.21/0.44 % (12966)------------------------------
% 0.21/0.44 % (12965)Instruction limit reached!
% 0.21/0.44 % (12965)------------------------------
% 0.21/0.44 % (12965)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (12965)Termination reason: Unknown
% 0.21/0.44 % (12965)Termination phase: shuffling
% 0.21/0.44
% 0.21/0.44 % (12965)Memory used [KB]: 1918
% 0.21/0.44 % (12965)Time elapsed: 0.011 s
% 0.21/0.44 % (12965)Instructions burned: 17 (million)
% 0.21/0.44 % (12965)------------------------------
% 0.21/0.44 % (12965)------------------------------
% 0.21/0.44 % (12960)Instruction limit reached!
% 0.21/0.44 % (12960)------------------------------
% 0.21/0.44 % (12960)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (12960)Termination reason: Unknown
% 0.21/0.44 % (12960)Termination phase: shuffling
% 0.21/0.44
% 0.21/0.44 % (12960)Memory used [KB]: 2430
% 0.21/0.44 % (12960)Time elapsed: 0.021 s
% 0.21/0.44 % (12960)Instructions burned: 38 (million)
% 0.21/0.44 % (12960)------------------------------
% 0.21/0.44 % (12960)------------------------------
% 0.21/0.44 % (12967)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.45 % (12967)Instruction limit reached!
% 0.21/0.45 % (12967)------------------------------
% 0.21/0.45 % (12967)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (12967)Termination reason: Unknown
% 0.21/0.45 % (12967)Termination phase: shuffling
% 0.21/0.45
% 0.21/0.45 % (12967)Memory used [KB]: 1663
% 0.21/0.45 % (12967)Time elapsed: 0.004 s
% 0.21/0.45 % (12967)Instructions burned: 3 (million)
% 0.21/0.45 % (12967)------------------------------
% 0.21/0.45 % (12967)------------------------------
% 0.21/0.45 % (12968)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.45 % (12968)Instruction limit reached!
% 0.21/0.45 % (12968)------------------------------
% 0.21/0.45 % (12968)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (12968)Termination reason: Unknown
% 0.21/0.45 % (12968)Termination phase: shuffling
% 0.21/0.45
% 0.21/0.45 % (12968)Memory used [KB]: 1663
% 0.21/0.45 % (12968)Time elapsed: 0.006 s
% 0.21/0.45 % (12968)Instructions burned: 8 (million)
% 0.21/0.45 % (12968)------------------------------
% 0.21/0.45 % (12968)------------------------------
% 0.21/0.45 % (12969)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.45 % (12969)Instruction limit reached!
% 0.21/0.45 % (12969)------------------------------
% 0.21/0.45 % (12969)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (12969)Termination reason: Unknown
% 0.21/0.45 % (12969)Termination phase: shuffling
% 0.21/0.45
% 0.21/0.45 % (12969)Memory used [KB]: 1663
% 0.21/0.45 % (12969)Time elapsed: 0.003 s
% 0.21/0.45 % (12969)Instructions burned: 3 (million)
% 0.21/0.45 % (12969)------------------------------
% 0.21/0.45 % (12969)------------------------------
% 0.21/0.46 % (12970)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.46 % (12971)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.21/0.46 % (12970)Instruction limit reached!
% 0.21/0.46 % (12970)------------------------------
% 0.21/0.46 % (12970)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.46 % (12970)Termination reason: Unknown
% 0.21/0.46 % (12970)Termination phase: shuffling
% 0.21/0.46
% 0.21/0.46 % (12970)Memory used [KB]: 1663
% 0.21/0.46 % (12970)Time elapsed: 0.005 s
% 0.21/0.46 % (12970)Instructions burned: 5 (million)
% 0.21/0.46 % (12970)------------------------------
% 0.21/0.46 % (12970)------------------------------
% 0.21/0.46 % (12972)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.21/0.47 % (12971)Instruction limit reached!
% 0.21/0.47 % (12971)------------------------------
% 0.21/0.47 % (12971)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.47 % (12971)Termination reason: Unknown
% 0.21/0.47 % (12971)Termination phase: shuffling
% 0.21/0.47
% 0.21/0.47 % (12971)Memory used [KB]: 2046
% 0.21/0.47 % (12971)Time elapsed: 0.011 s
% 0.21/0.47 % (12971)Instructions burned: 18 (million)
% 0.21/0.47 % (12971)------------------------------
% 0.21/0.47 % (12971)------------------------------
% 0.21/0.47 % (12973)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.47 % (12973)Instruction limit reached!
% 0.21/0.47 % (12973)------------------------------
% 0.21/0.47 % (12973)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.47 % (12973)Termination reason: Unknown
% 0.21/0.47 % (12973)Termination phase: shuffling
% 0.21/0.47
% 0.21/0.47 % (12973)Memory used [KB]: 1663
% 0.21/0.47 % (12973)Time elapsed: 0.004 s
% 0.21/0.47 % (12973)Instructions burned: 8 (million)
% 0.21/0.47 % (12973)------------------------------
% 0.21/0.47 % (12973)------------------------------
% 0.21/0.47 % (12974)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2999ds/902Mi)
% 0.21/0.47 % (12975)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.21/0.48 % (12977)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2998ds/6Mi)
% 0.21/0.48 % (12977)Instruction limit reached!
% 0.21/0.48 % (12977)------------------------------
% 0.21/0.48 % (12977)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.48 % (12977)Termination reason: Unknown
% 0.21/0.48 % (12977)Termination phase: shuffling
% 0.21/0.48
% 0.21/0.48 % (12977)Memory used [KB]: 1791
% 0.21/0.48 % (12977)Time elapsed: 0.004 s
% 0.21/0.48 % (12977)Instructions burned: 8 (million)
% 0.21/0.48 % (12977)------------------------------
% 0.21/0.48 % (12977)------------------------------
% 0.21/0.48 % (12976)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.21/0.48 % (12976)Instruction limit reached!
% 0.21/0.48 % (12976)------------------------------
% 0.21/0.48 % (12976)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.48 % (12976)Termination reason: Unknown
% 0.21/0.48 % (12976)Termination phase: shuffling
% 0.21/0.48
% 0.21/0.48 % (12976)Memory used [KB]: 1663
% 0.21/0.48 % (12976)Time elapsed: 0.005 s
% 0.21/0.48 % (12976)Instructions burned: 5 (million)
% 0.21/0.48 % (12976)------------------------------
% 0.21/0.48 % (12976)------------------------------
% 0.21/0.48 % (12975)Instruction limit reached!
% 0.21/0.48 % (12975)------------------------------
% 0.21/0.48 % (12975)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.48 % (12975)Termination reason: Unknown
% 0.21/0.48 % (12975)Termination phase: shuffling
% 0.21/0.48
% 0.21/0.48 % (12975)Memory used [KB]: 2046
% 0.21/0.48 % (12975)Time elapsed: 0.014 s
% 0.21/0.48 % (12975)Instructions burned: 22 (million)
% 0.21/0.48 % (12975)------------------------------
% 0.21/0.48 % (12975)------------------------------
% 0.21/0.49 % (12952)Instruction limit reached!
% 0.21/0.49 % (12952)------------------------------
% 0.21/0.49 % (12952)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.49 % (12952)Termination reason: Unknown
% 0.21/0.49 % (12952)Termination phase: Property scanning
% 0.21/0.49
% 0.21/0.49 % (12952)Memory used [KB]: 3070
% 0.21/0.49 % (12952)Time elapsed: 0.088 s
% 0.21/0.49 % (12952)Instructions burned: 184 (million)
% 0.21/0.49 % (12952)------------------------------
% 0.21/0.49 % (12952)------------------------------
% 0.21/0.49 % (12978)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.21/0.50 % (12980)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2998ds/19Mi)
% 0.21/0.50 % (12979)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2998ds/779Mi)
% 0.21/0.50 % (12981)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2998ds/879Mi)
% 0.21/0.51 % (12980)Instruction limit reached!
% 0.21/0.51 % (12980)------------------------------
% 0.21/0.51 % (12980)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.51 % (12980)Termination reason: Unknown
% 0.21/0.51 % (12980)Termination phase: shuffling
% 0.21/0.51
% 0.21/0.51 % (12980)Memory used [KB]: 2046
% 0.21/0.51 % (12980)Time elapsed: 0.010 s
% 0.21/0.51 % (12980)Instructions burned: 22 (million)
% 0.21/0.51 % (12980)------------------------------
% 0.21/0.51 % (12980)------------------------------
% 0.21/0.51 % (12982)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.21/0.52 % (12982)Instruction limit reached!
% 0.21/0.52 % (12982)------------------------------
% 0.21/0.52 % (12982)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.52 % (12982)Termination reason: Unknown
% 0.21/0.52 % (12982)Termination phase: shuffling
% 0.21/0.52
% 0.21/0.52 % (12982)Memory used [KB]: 1918
% 0.21/0.52 % (12982)Time elapsed: 0.007 s
% 0.21/0.52 % (12982)Instructions burned: 18 (million)
% 0.21/0.52 % (12982)------------------------------
% 0.21/0.52 % (12982)------------------------------
% 0.21/0.53 % (12983)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.21/0.53 % (12983)Instruction limit reached!
% 0.21/0.53 % (12983)------------------------------
% 0.21/0.53 % (12983)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.53 % (12983)Termination reason: Unknown
% 0.21/0.53 % (12983)Termination phase: shuffling
% 0.21/0.53
% 0.21/0.53 % (12983)Memory used [KB]: 1663
% 0.21/0.53 % (12983)Time elapsed: 0.003 s
% 0.21/0.53 % (12983)Instructions burned: 5 (million)
% 0.21/0.53 % (12983)------------------------------
% 0.21/0.53 % (12983)------------------------------
% 0.21/0.53 % (12957)Instruction limit reached!
% 0.21/0.53 % (12957)------------------------------
% 0.21/0.53 % (12957)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.53 % (12957)Termination reason: Unknown
% 0.21/0.53 % (12957)Termination phase: Saturation
% 0.21/0.53
% 0.21/0.53 % (12957)Memory used [KB]: 6140
% 0.21/0.53 % (12957)Time elapsed: 0.132 s
% 0.21/0.53 % (12957)Instructions burned: 276 (million)
% 0.21/0.53 % (12957)------------------------------
% 0.21/0.53 % (12957)------------------------------
% 1.33/0.54 % (12984)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 1.33/0.54 % (12985)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2998ds/127Mi)
% 1.33/0.55 % (12984)Instruction limit reached!
% 1.33/0.55 % (12984)------------------------------
% 1.33/0.55 % (12984)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.33/0.55 % (12984)Termination reason: Unknown
% 1.33/0.55 % (12984)Termination phase: shuffling
% 1.33/0.55
% 1.33/0.55 % (12984)Memory used [KB]: 2174
% 1.33/0.55 % (12984)Time elapsed: 0.010 s
% 1.33/0.55 % (12984)Instructions burned: 30 (million)
% 1.33/0.55 % (12984)------------------------------
% 1.33/0.55 % (12984)------------------------------
% 1.46/0.56 % (12986)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.46/0.58 % (12985)Instruction limit reached!
% 1.46/0.58 % (12985)------------------------------
% 1.46/0.58 % (12985)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.46/0.58 % (12985)Termination reason: Unknown
% 1.46/0.58 % (12985)Termination phase: Property scanning
% 1.46/0.58
% 1.46/0.58 % (12985)Memory used [KB]: 3070
% 1.46/0.58 % (12985)Time elapsed: 0.037 s
% 1.46/0.58 % (12985)Instructions burned: 127 (million)
% 1.46/0.58 % (12985)------------------------------
% 1.46/0.58 % (12985)------------------------------
% 1.46/0.58 % (12986)Instruction limit reached!
% 1.46/0.58 % (12986)------------------------------
% 1.46/0.58 % (12986)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.46/0.58 % (12986)Termination reason: Unknown
% 1.46/0.58 % (12986)Termination phase: Naming
% 1.46/0.58
% 1.46/0.58 % (12986)Memory used [KB]: 2814
% 1.46/0.58 % (12986)Time elapsed: 0.029 s
% 1.46/0.58 % (12986)Instructions burned: 100 (million)
% 1.46/0.58 % (12986)------------------------------
% 1.46/0.58 % (12986)------------------------------
% 1.46/0.59 % (12987)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on theBenchmark for (2997ds/3Mi)
% 1.46/0.59 % (12987)Instruction limit reached!
% 1.46/0.59 % (12987)------------------------------
% 1.46/0.59 % (12987)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.46/0.59 % (12987)Termination reason: Unknown
% 1.46/0.59 % (12987)Termination phase: shuffling
% 1.46/0.59
% 1.46/0.59 % (12987)Memory used [KB]: 1663
% 1.46/0.59 % (12987)Time elapsed: 0.003 s
% 1.46/0.59 % (12987)Instructions burned: 5 (million)
% 1.46/0.59 % (12987)------------------------------
% 1.46/0.59 % (12987)------------------------------
% 1.46/0.59 % (12988)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on theBenchmark for (2997ds/20Mi)
% 1.46/0.59 % (12978)Instruction limit reached!
% 1.46/0.59 % (12978)------------------------------
% 1.46/0.59 % (12978)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.46/0.59 % (12978)Termination reason: Unknown
% 1.46/0.59 % (12978)Termination phase: Saturation
% 1.46/0.59
% 1.46/0.59 % (12978)Memory used [KB]: 9594
% 1.46/0.59 % (12978)Time elapsed: 0.107 s
% 1.46/0.59 % (12978)Instructions burned: 378 (million)
% 1.46/0.59 % (12978)------------------------------
% 1.46/0.59 % (12978)------------------------------
% 1.46/0.60 % (12989)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on theBenchmark for (2997ds/86Mi)
% 1.46/0.60 % (12988)Instruction limit reached!
% 1.46/0.60 % (12988)------------------------------
% 1.46/0.60 % (12988)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.46/0.60 % (12988)Termination reason: Unknown
% 1.46/0.60 % (12988)Termination phase: shuffling
% 1.46/0.60
% 1.46/0.60 % (12988)Memory used [KB]: 2046
% 1.46/0.60 % (12988)Time elapsed: 0.009 s
% 1.46/0.60 % (12988)Instructions burned: 22 (million)
% 1.46/0.60 % (12988)------------------------------
% 1.46/0.60 % (12988)------------------------------
% 1.46/0.60 % (12990)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on theBenchmark for (2997ds/107Mi)
% 1.46/0.61 % (12991)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on theBenchmark for (2997ds/39Mi)
% 1.46/0.62 % (12991)Instruction limit reached!
% 1.46/0.62 % (12991)------------------------------
% 1.46/0.62 % (12991)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.46/0.62 % (12991)Termination reason: Unknown
% 1.46/0.62 % (12991)Termination phase: shuffling
% 1.46/0.62
% 1.46/0.62 % (12991)Memory used [KB]: 2430
% 1.46/0.62 % (12991)Time elapsed: 0.013 s
% 1.46/0.62 % (12991)Instructions burned: 41 (million)
% 1.46/0.62 % (12991)------------------------------
% 1.46/0.62 % (12991)------------------------------
% 1.46/0.62 % (12989)Instruction limit reached!
% 1.46/0.62 % (12989)------------------------------
% 1.46/0.62 % (12989)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.46/0.62 % (12989)Termination reason: Unknown
% 1.46/0.62 % (12989)Termination phase: Property scanning
% 1.46/0.62
% 1.46/0.62 % (12989)Memory used [KB]: 2814
% 1.46/0.62 % (12989)Time elapsed: 0.026 s
% 1.46/0.62 % (12989)Instructions burned: 88 (million)
% 1.46/0.62 % (12989)------------------------------
% 1.46/0.62 % (12989)------------------------------
% 2.03/0.63 % (12992)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on theBenchmark for (2997ds/448Mi)
% 2.03/0.63 % (12993)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on theBenchmark for (2997ds/46Mi)
% 2.03/0.63 % (12990)Instruction limit reached!
% 2.03/0.63 % (12990)------------------------------
% 2.03/0.63 % (12990)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.03/0.63 % (12990)Termination reason: Unknown
% 2.03/0.63 % (12990)Termination phase: SInE selection
% 2.03/0.63
% 2.03/0.63 % (12990)Memory used [KB]: 2814
% 2.03/0.63 % (12990)Time elapsed: 0.031 s
% 2.03/0.63 % (12990)Instructions burned: 107 (million)
% 2.03/0.63 % (12990)------------------------------
% 2.03/0.63 % (12990)------------------------------
% 2.03/0.64 % (12994)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on theBenchmark for (2997ds/98Mi)
% 2.03/0.65 % (12993)Instruction limit reached!
% 2.03/0.65 % (12993)------------------------------
% 2.03/0.65 % (12993)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.03/0.65 % (12993)Termination reason: Unknown
% 2.03/0.65 % (12993)Termination phase: shuffling
% 2.03/0.65
% 2.03/0.65 % (12993)Memory used [KB]: 2430
% 2.03/0.65 % (12993)Time elapsed: 0.015 s
% 2.03/0.65 % (12993)Instructions burned: 46 (million)
% 2.03/0.65 % (12993)------------------------------
% 2.03/0.65 % (12993)------------------------------
% 2.03/0.65 % (12995)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on theBenchmark for (2997ds/507Mi)
% 2.30/0.67 % (12994)Instruction limit reached!
% 2.30/0.67 % (12994)------------------------------
% 2.30/0.67 % (12994)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.30/0.67 % (12994)Termination reason: Unknown
% 2.30/0.67 % (12994)Termination phase: Property scanning
% 2.30/0.67
% 2.30/0.67 % (12994)Memory used [KB]: 2814
% 2.30/0.67 % (12994)Time elapsed: 0.029 s
% 2.30/0.67 % (12994)Instructions burned: 101 (million)
% 2.30/0.67 % (12994)------------------------------
% 2.30/0.67 % (12994)------------------------------
% 2.30/0.68 % (12996)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on theBenchmark for (2996ds/149Mi)
% 2.30/0.70 % (12979)Instruction limit reached!
% 2.30/0.70 % (12979)------------------------------
% 2.30/0.70 % (12979)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.30/0.70 % (12979)Termination reason: Unknown
% 2.30/0.70 % (12979)Termination phase: Saturation
% 2.30/0.70
% 2.30/0.70 % (12979)Memory used [KB]: 7931
% 2.30/0.70 % (12979)Time elapsed: 0.207 s
% 2.30/0.70 % (12979)Instructions burned: 781 (million)
% 2.30/0.70 % (12979)------------------------------
% 2.30/0.70 % (12979)------------------------------
% 2.30/0.71 % (12997)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2996ds/39Mi)
% 2.30/0.72 % (12996)Instruction limit reached!
% 2.30/0.72 % (12996)------------------------------
% 2.30/0.72 % (12996)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.30/0.72 % (12996)Termination reason: Unknown
% 2.30/0.72 % (12996)Termination phase: Function definition elimination
% 2.30/0.72
% 2.30/0.72 % (12996)Memory used [KB]: 2942
% 2.30/0.72 % (12996)Time elapsed: 0.043 s
% 2.30/0.72 % (12996)Instructions burned: 152 (million)
% 2.30/0.72 % (12996)------------------------------
% 2.30/0.72 % (12996)------------------------------
% 2.30/0.72 % (12972)Instruction limit reached!
% 2.30/0.72 % (12972)------------------------------
% 2.30/0.72 % (12972)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.30/0.72 % (12972)Termination reason: Unknown
% 2.30/0.72 % (12972)Termination phase: Saturation
% 2.30/0.72
% 2.30/0.72 % (12972)Memory used [KB]: 11897
% 2.30/0.72 % (12972)Time elapsed: 0.263 s
% 2.30/0.72 % (12972)Instructions burned: 710 (million)
% 2.30/0.72 % (12972)------------------------------
% 2.30/0.72 % (12972)------------------------------
% 2.30/0.72 % (12997)Instruction limit reached!
% 2.30/0.72 % (12997)------------------------------
% 2.30/0.72 % (12997)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.30/0.72 % (12997)Termination reason: Unknown
% 2.30/0.72 % (12997)Termination phase: shuffling
% 2.30/0.72
% 2.30/0.72 % (12997)Memory used [KB]: 2430
% 2.30/0.72 % (12997)Time elapsed: 0.014 s
% 2.30/0.72 % (12997)Instructions burned: 42 (million)
% 2.30/0.72 % (12997)------------------------------
% 2.30/0.72 % (12997)------------------------------
% 2.30/0.73 % (12963)Instruction limit reached!
% 2.30/0.73 % (12963)------------------------------
% 2.30/0.73 % (12963)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.30/0.73 % (12963)Termination reason: Unknown
% 2.30/0.73 % (12963)Termination phase: Saturation
% 2.30/0.73
% 2.30/0.73 % (12963)Memory used [KB]: 18933
% 2.30/0.73 % (12963)Time elapsed: 0.310 s
% 2.30/0.73 % (12963)Instructions burned: 1042 (million)
% 2.30/0.73 % (12963)------------------------------
% 2.30/0.73 % (12963)------------------------------
% 2.30/0.73 % (12998)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2996ds/6Mi)
% 2.30/0.73 % (12998)Instruction limit reached!
% 2.30/0.73 % (12998)------------------------------
% 2.30/0.73 % (12998)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.30/0.73 % (12998)Termination reason: Unknown
% 2.30/0.73 % (12998)Termination phase: shuffling
% 2.30/0.73
% 2.30/0.73 % (12999)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on theBenchmark for (2996ds/1087Mi)
% 2.30/0.73 % (12998)Memory used [KB]: 1791
% 2.30/0.73 % (12998)Time elapsed: 0.004 s
% 2.30/0.73 % (12998)Instructions burned: 9 (million)
% 2.30/0.73 % (12998)------------------------------
% 2.30/0.73 % (12998)------------------------------
% 2.30/0.73 % (13000)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on theBenchmark for (2996ds/47Mi)
% 2.30/0.74 % (13001)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on theBenchmark for (2996ds/44Mi)
% 2.76/0.74 % (13002)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on theBenchmark for (2996ds/432Mi)
% 2.76/0.74 % (12992)Instruction limit reached!
% 2.76/0.74 % (12992)------------------------------
% 2.76/0.74 % (12992)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.76/0.74 % (12992)Termination reason: Unknown
% 2.76/0.74 % (12992)Termination phase: Saturation
% 2.76/0.74
% 2.76/0.74 % (12992)Memory used [KB]: 7803
% 2.76/0.74 % (12992)Time elapsed: 0.113 s
% 2.76/0.74 % (12992)Instructions burned: 448 (million)
% 2.76/0.74 % (12992)------------------------------
% 2.76/0.74 % (12992)------------------------------
% 2.76/0.75 % (13000)Instruction limit reached!
% 2.76/0.75 % (13000)------------------------------
% 2.76/0.75 % (13000)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.76/0.75 % (13000)Termination reason: Unknown
% 2.76/0.75 % (13000)Termination phase: shuffling
% 2.76/0.75
% 2.76/0.75 % (13000)Memory used [KB]: 2558
% 2.76/0.75 % (13000)Time elapsed: 0.015 s
% 2.76/0.75 % (13000)Instructions burned: 47 (million)
% 2.76/0.75 % (13000)------------------------------
% 2.76/0.75 % (13000)------------------------------
% 2.76/0.75 % (13001)Instruction limit reached!
% 2.76/0.75 % (13001)------------------------------
% 2.76/0.75 % (13001)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.76/0.75 % (13001)Termination reason: Unknown
% 2.76/0.75 % (13001)Termination phase: shuffling
% 2.76/0.75
% 2.76/0.75 % (13001)Memory used [KB]: 2430
% 2.76/0.75 % (13001)Time elapsed: 0.014 s
% 2.76/0.75 % (13001)Instructions burned: 44 (million)
% 2.76/0.75 % (13001)------------------------------
% 2.76/0.75 % (13001)------------------------------
% 2.76/0.75 % (13003)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on theBenchmark for (2996ds/62Mi)
% 2.76/0.76 % (13004)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on theBenchmark for (2996ds/31Mi)
% 2.76/0.76 % (13005)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on theBenchmark for (2996ds/96Mi)
% 2.76/0.77 % (13004)Instruction limit reached!
% 2.76/0.77 % (13004)------------------------------
% 2.76/0.77 % (13004)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.76/0.77 % (13004)Termination reason: Unknown
% 2.76/0.77 % (13004)Termination phase: shuffling
% 2.76/0.77
% 2.76/0.77 % (13004)Memory used [KB]: 2302
% 2.76/0.77 % (13004)Time elapsed: 0.011 s
% 2.76/0.77 % (13004)Instructions burned: 33 (million)
% 2.76/0.77 % (13004)------------------------------
% 2.76/0.77 % (13004)------------------------------
% 2.99/0.77 % (13003)Instruction limit reached!
% 2.99/0.77 % (13003)------------------------------
% 2.99/0.77 % (13003)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.99/0.77 % (13003)Termination reason: Unknown
% 2.99/0.77 % (13003)Termination phase: shuffling
% 2.99/0.77
% 2.99/0.77 % (13003)Memory used [KB]: 2686
% 2.99/0.77 % (13003)Time elapsed: 0.019 s
% 2.99/0.77 % (13003)Instructions burned: 63 (million)
% 2.99/0.77 % (13003)------------------------------
% 2.99/0.77 % (13003)------------------------------
% 2.99/0.77 % (13006)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on theBenchmark for (2995ds/453Mi)
% 2.99/0.78 % (13007)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on theBenchmark for (2995ds/71Mi)
% 2.99/0.79 % (13005)Instruction limit reached!
% 2.99/0.79 % (13005)------------------------------
% 2.99/0.79 % (13005)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.99/0.79 % (13005)Termination reason: Unknown
% 2.99/0.79 % (13005)Termination phase: Property scanning
% 2.99/0.79
% 2.99/0.79 % (13005)Memory used [KB]: 2814
% 2.99/0.79 % (13005)Time elapsed: 0.028 s
% 2.99/0.79 % (13005)Instructions burned: 97 (million)
% 2.99/0.79 % (13005)------------------------------
% 2.99/0.79 % (13005)------------------------------
% 2.99/0.79 % (12981)Instruction limit reached!
% 2.99/0.79 % (12981)------------------------------
% 2.99/0.79 % (12981)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.99/0.79 % (12981)Termination reason: Unknown
% 2.99/0.79 % (12981)Termination phase: Saturation
% 2.99/0.79
% 2.99/0.79 % (12981)Memory used [KB]: 10746
% 2.99/0.79 % (12981)Time elapsed: 0.282 s
% 2.99/0.79 % (12981)Instructions burned: 881 (million)
% 2.99/0.79 % (12981)------------------------------
% 2.99/0.79 % (12981)------------------------------
% 2.99/0.79 % (12974)Instruction limit reached!
% 2.99/0.79 % (12974)------------------------------
% 2.99/0.79 % (12974)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.99/0.79 % (12974)Termination reason: Unknown
% 2.99/0.79 % (12974)Termination phase: Saturation
% 2.99/0.79
% 2.99/0.79 % (12974)Memory used [KB]: 13432
% 2.99/0.79 % (12974)Time elapsed: 0.324 s
% 2.99/0.79 % (12974)Instructions burned: 902 (million)
% 2.99/0.79 % (12974)------------------------------
% 2.99/0.79 % (12974)------------------------------
% 2.99/0.79 % (13008)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on theBenchmark for (2995ds/83Mi)
% 2.99/0.80 % (13007)Instruction limit reached!
% 2.99/0.80 % (13007)------------------------------
% 2.99/0.80 % (13007)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.99/0.80 % (13007)Termination reason: Unknown
% 2.99/0.80 % (13007)Termination phase: Property scanning
% 2.99/0.80
% 2.99/0.80 % (13007)Memory used [KB]: 2814
% 2.99/0.80 % (13007)Time elapsed: 0.022 s
% 2.99/0.80 % (13007)Instructions burned: 72 (million)
% 2.99/0.80 % (13007)------------------------------
% 2.99/0.80 % (13007)------------------------------
% 2.99/0.80 % (13009)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on theBenchmark for (2995ds/11Mi)
% 2.99/0.80 % (13010)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on theBenchmark for (2995ds/41Mi)
% 2.99/0.80 % (13009)Instruction limit reached!
% 2.99/0.80 % (13009)------------------------------
% 2.99/0.80 % (13009)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.99/0.80 % (13009)Termination reason: Unknown
% 2.99/0.80 % (13009)Termination phase: shuffling
% 2.99/0.80
% 2.99/0.80 % (13009)Memory used [KB]: 1918
% 2.99/0.80 % (13009)Time elapsed: 0.005 s
% 2.99/0.80 % (13009)Instructions burned: 13 (million)
% 2.99/0.80 % (13009)------------------------------
% 2.99/0.80 % (13009)------------------------------
% 2.99/0.81 % (13011)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2995ds/6Mi)
% 2.99/0.81 % (13011)Instruction limit reached!
% 2.99/0.81 % (13011)------------------------------
% 2.99/0.81 % (13011)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.99/0.81 % (13011)Termination reason: Unknown
% 2.99/0.81 % (13011)Termination phase: shuffling
% 2.99/0.81
% 2.99/0.81 % (13011)Memory used [KB]: 1663
% 2.99/0.81 % (13011)Time elapsed: 0.003 s
% 2.99/0.81 % (13011)Instructions burned: 6 (million)
% 2.99/0.81 % (13011)------------------------------
% 2.99/0.81 % (13011)------------------------------
% 2.99/0.81 % (13012)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on theBenchmark for (2995ds/150Mi)
% 2.99/0.81 % (13010)Instruction limit reached!
% 2.99/0.81 % (13010)------------------------------
% 2.99/0.81 % (13010)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.99/0.81 % (13010)Termination reason: Unknown
% 2.99/0.81 % (13010)Termination phase: shuffling
% 2.99/0.81
% 2.99/0.81 % (13010)Memory used [KB]: 2430
% 2.99/0.81 % (13010)Time elapsed: 0.013 s
% 2.99/0.81 % (13010)Instructions burned: 41 (million)
% 2.99/0.81 % (13010)------------------------------
% 2.99/0.81 % (13010)------------------------------
% 2.99/0.82 % (12995)Instruction limit reached!
% 2.99/0.82 % (12995)------------------------------
% 2.99/0.82 % (12995)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.99/0.82 % (12995)Termination reason: Unknown
% 2.99/0.82 % (12995)Termination phase: Saturation
% 2.99/0.82
% 2.99/0.82 % (12995)Memory used [KB]: 8443
% 2.99/0.82 % (12995)Time elapsed: 0.163 s
% 2.99/0.82 % (12995)Instructions burned: 509 (million)
% 2.99/0.82 % (12995)------------------------------
% 2.99/0.82 % (12995)------------------------------
% 2.99/0.82 % (13013)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on theBenchmark for (2995ds/343Mi)
% 2.99/0.82 % (13008)Instruction limit reached!
% 2.99/0.82 % (13008)------------------------------
% 2.99/0.82 % (13008)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.99/0.82 % (13008)Termination reason: Unknown
% 2.99/0.82 % (13008)Termination phase: Property scanning
% 2.99/0.82
% 2.99/0.82 % (13008)Memory used [KB]: 2814
% 2.99/0.82 % (13008)Time elapsed: 0.025 s
% 2.99/0.82 % (13008)Instructions burned: 85 (million)
% 2.99/0.82 % (13008)------------------------------
% 2.99/0.82 % (13008)------------------------------
% 2.99/0.82 % (13014)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=109:si=on:rtra=on_0 on theBenchmark for (2995ds/109Mi)
% 3.39/0.83 % (13015)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=253:si=on:rtra=on_0 on theBenchmark for (2995ds/253Mi)
% 3.39/0.83 % (13016)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on theBenchmark for (2995ds/140Mi)
% 3.39/0.85 % (13002)Instruction limit reached!
% 3.39/0.85 % (13002)------------------------------
% 3.39/0.85 % (13002)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.39/0.85 % (13002)Termination reason: Unknown
% 3.39/0.85 % (13002)Termination phase: Saturation
% 3.39/0.85
% 3.39/0.85 % (13002)Memory used [KB]: 3326
% 3.39/0.85 % (13002)Time elapsed: 0.107 s
% 3.39/0.85 % (13002)Instructions burned: 432 (million)
% 3.39/0.85 % (13002)------------------------------
% 3.39/0.85 % (13002)------------------------------
% 3.50/0.85 % (13014)Instruction limit reached!
% 3.50/0.85 % (13014)------------------------------
% 3.50/0.85 % (13014)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.50/0.85 % (13014)Termination reason: Unknown
% 3.50/0.85 % (13014)Termination phase: SInE selection
% 3.50/0.85
% 3.50/0.85 % (13014)Memory used [KB]: 2814
% 3.50/0.85 % (13014)Time elapsed: 0.032 s
% 3.50/0.85 % (13014)Instructions burned: 112 (million)
% 3.50/0.85 % (13014)------------------------------
% 3.50/0.85 % (13014)------------------------------
% 3.50/0.85 % (13017)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=614:si=on:rtra=on_0 on theBenchmark for (2995ds/614Mi)
% 3.50/0.86 % (13012)Instruction limit reached!
% 3.50/0.86 % (13012)------------------------------
% 3.50/0.86 % (13012)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.50/0.86 % (13012)Termination reason: Unknown
% 3.50/0.86 % (13012)Termination phase: Property scanning
% 3.50/0.86
% 3.50/0.86 % (13012)Memory used [KB]: 5628
% 3.50/0.86 % (13012)Time elapsed: 0.049 s
% 3.50/0.86 % (13012)Instructions burned: 153 (million)
% 3.50/0.86 % (13012)------------------------------
% 3.50/0.86 % (13012)------------------------------
% 3.50/0.86 % (13018)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=202:si=on:rtra=on_0 on theBenchmark for (2995ds/202Mi)
% 3.50/0.86 % (13016)Instruction limit reached!
% 3.50/0.86 % (13016)------------------------------
% 3.50/0.86 % (13016)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.50/0.86 % (13016)Termination reason: Unknown
% 3.50/0.86 % (13016)Termination phase: Property scanning
% 3.50/0.86
% 3.50/0.86 % (13016)Memory used [KB]: 2942
% 3.50/0.86 % (13016)Time elapsed: 0.039 s
% 3.50/0.86 % (13016)Instructions burned: 140 (million)
% 3.50/0.86 % (13016)------------------------------
% 3.50/0.86 % (13016)------------------------------
% 3.50/0.87 % (13019)dis+1002_1:1_au=on:cs=on:ins=3:kws=inv_frequency:nwc=10.0:ss=axioms:st=3.0:i=339:si=on:rtra=on_0 on theBenchmark for (2995ds/339Mi)
% 3.50/0.87 % (13021)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=283:si=on:rtra=on_0 on theBenchmark for (2995ds/283Mi)
% 3.50/0.89 % (13006)Instruction limit reached!
% 3.50/0.89 % (13006)------------------------------
% 3.50/0.89 % (13006)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.50/0.89 % (13006)Termination reason: Unknown
% 3.50/0.89 % (13006)Termination phase: Saturation
% 3.50/0.89
% 3.50/0.89 % (13006)Memory used [KB]: 7803
% 3.50/0.89 % (13006)Time elapsed: 0.114 s
% 3.50/0.89 % (13006)Instructions burned: 455 (million)
% 3.50/0.89 % (13006)------------------------------
% 3.50/0.89 % (13006)------------------------------
% 3.50/0.90 % (13022)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on theBenchmark for (2994ds/134Mi)
% 3.50/0.90 % (13015)Instruction limit reached!
% 3.50/0.90 % (13015)------------------------------
% 3.50/0.90 % (13015)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.50/0.90 % (13015)Termination reason: Unknown
% 3.50/0.90 % (13015)Termination phase: Property scanning
% 3.50/0.90
% 3.50/0.90 % (13015)Memory used [KB]: 6012
% 3.50/0.90 % (13015)Time elapsed: 0.079 s
% 3.50/0.90 % (13015)Instructions burned: 253 (million)
% 3.50/0.90 % (13015)------------------------------
% 3.50/0.90 % (13015)------------------------------
% 3.50/0.91 % (13013)Instruction limit reached!
% 3.50/0.91 % (13013)------------------------------
% 3.50/0.91 % (13013)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.50/0.91 % (13013)Termination reason: Unknown
% 3.50/0.91 % (13013)Termination phase: Saturation
% 3.50/0.91
% 3.50/0.91 % (13013)Memory used [KB]: 8571
% 3.50/0.91 % (13013)Time elapsed: 0.089 s
% 3.50/0.91 % (13013)Instructions burned: 345 (million)
% 3.50/0.91 % (13013)------------------------------
% 3.50/0.91 % (13013)------------------------------
% 3.50/0.91 % (13023)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on theBenchmark for (2994ds/298Mi)
% 3.50/0.91 % (13024)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on theBenchmark for (2994ds/192Mi)
% 3.50/0.92 % (13018)Instruction limit reached!
% 3.50/0.92 % (13018)------------------------------
% 3.50/0.92 % (13018)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.50/0.92 % (13018)Termination reason: Unknown
% 3.50/0.92 % (13018)Termination phase: Property scanning
% 3.50/0.92
% 3.50/0.92 % (13018)Memory used [KB]: 5756
% 3.50/0.92 % (13018)Time elapsed: 0.059 s
% 3.50/0.92 % (13018)Instructions burned: 204 (million)
% 3.50/0.92 % (13018)------------------------------
% 3.50/0.92 % (13018)------------------------------
% 4.02/0.93 % (13025)lrs+10_1:1_bd=off:hud=1:nm=0:prag=on:sd=2:sgt=32:sos=all:ss=axioms:i=258:si=on:rtra=on_0 on theBenchmark for (2994ds/258Mi)
% 4.02/0.93 % (13022)Instruction limit reached!
% 4.02/0.93 % (13022)------------------------------
% 4.02/0.93 % (13022)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.02/0.93 % (13022)Termination reason: Unknown
% 4.02/0.93 % (13022)Termination phase: Property scanning
% 4.02/0.93
% 4.02/0.93 % (13022)Memory used [KB]: 2942
% 4.02/0.93 % (13022)Time elapsed: 0.036 s
% 4.02/0.93 % (13022)Instructions burned: 137 (million)
% 4.02/0.93 % (13022)------------------------------
% 4.02/0.93 % (13022)------------------------------
% 4.02/0.94 % (13026)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on theBenchmark for (2994ds/90Mi)
% 4.02/0.94 % (13021)Instruction limit reached!
% 4.02/0.94 % (13021)------------------------------
% 4.02/0.94 % (13021)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.02/0.94 % (13021)Termination reason: Unknown
% 4.02/0.94 % (13021)Termination phase: Saturation
% 4.02/0.94
% 4.02/0.94 % (13021)Memory used [KB]: 7675
% 4.02/0.94 % (13021)Time elapsed: 0.068 s
% 4.02/0.94 % (13021)Instructions burned: 287 (million)
% 4.02/0.94 % (13021)------------------------------
% 4.02/0.94 % (13021)------------------------------
% 4.02/0.95 % (13027)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on theBenchmark for (2994ds/231Mi)
% 4.02/0.96 % (13024)Instruction limit reached!
% 4.02/0.96 % (13024)------------------------------
% 4.02/0.96 % (13024)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.02/0.96 % (13024)Termination reason: Unknown
% 4.02/0.96 % (13024)Termination phase: Saturation
% 4.02/0.96
% 4.02/0.96 % (13024)Memory used [KB]: 7547
% 4.02/0.96 % (13024)Time elapsed: 0.048 s
% 4.02/0.96 % (13024)Instructions burned: 192 (million)
% 4.02/0.96 % (13024)------------------------------
% 4.02/0.96 % (13024)------------------------------
% 4.02/0.96 % (13019)Instruction limit reached!
% 4.02/0.96 % (13019)------------------------------
% 4.02/0.96 % (13019)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.02/0.96 % (13019)Termination reason: Unknown
% 4.02/0.96 % (13019)Termination phase: Saturation
% 4.02/0.96
% 4.02/0.96 % (13019)Memory used [KB]: 8571
% 4.02/0.96 % (13019)Time elapsed: 0.094 s
% 4.02/0.96 % (13019)Instructions burned: 340 (million)
% 4.02/0.96 % (13019)------------------------------
% 4.02/0.96 % (13019)------------------------------
% 4.02/0.96 % (13026)Instruction limit reached!
% 4.02/0.96 % (13026)------------------------------
% 4.02/0.96 % (13026)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.02/0.96 % (13026)Termination reason: Unknown
% 4.02/0.96 % (13026)Termination phase: Property scanning
% 4.02/0.96
% 4.02/0.96 % (13026)Memory used [KB]: 2814
% 4.02/0.96 % (13026)Time elapsed: 0.025 s
% 4.02/0.96 % (13026)Instructions burned: 92 (million)
% 4.02/0.96 % (13026)------------------------------
% 4.02/0.96 % (13026)------------------------------
% 4.32/0.97 % (13028)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=458:si=on:rtra=on_0 on theBenchmark for (2994ds/458Mi)
% 4.32/0.97 % (13029)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on theBenchmark for (2994ds/31Mi)
% 4.32/0.97 % (13030)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on theBenchmark for (2994ds/297Mi)
% 4.32/0.98 % (13029)Instruction limit reached!
% 4.32/0.98 % (13029)------------------------------
% 4.32/0.98 % (13029)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.32/0.98 % (13029)Termination reason: Unknown
% 4.32/0.98 % (13029)Termination phase: shuffling
% 4.32/0.98
% 4.32/0.98 % (13029)Memory used [KB]: 2302
% 4.32/0.98 % (13029)Time elapsed: 0.010 s
% 4.32/0.98 % (13029)Instructions burned: 32 (million)
% 4.32/0.98 % (13029)------------------------------
% 4.32/0.98 % (13029)------------------------------
% 4.32/0.98 % (13023)Instruction limit reached!
% 4.32/0.98 % (13023)------------------------------
% 4.32/0.98 % (13023)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.32/0.98 % (13023)Termination reason: Unknown
% 4.32/0.98 % (13023)Termination phase: Saturation
% 4.32/0.98
% 4.32/0.98 % (13023)Memory used [KB]: 7675
% 4.32/0.98 % (13023)Time elapsed: 0.072 s
% 4.32/0.98 % (13023)Instructions burned: 302 (million)
% 4.32/0.98 % (13023)------------------------------
% 4.32/0.98 % (13023)------------------------------
% 4.32/0.99 % (13031)dis+2_1:4_amm=off:au=on:cbe=off:cnfonf=lazy_gen:hfaw=0:hfsq=on:hfsql=off:plsq=on:plsqc=1:plsqr=35,4:sac=on:i=987:si=on:rtra=on_0 on theBenchmark for (2994ds/987Mi)
% 4.32/0.99 % (13032)lrs+10_1:1024_avsq=on:avsqc=4:avsqr=584411,1048576:bd=off:bet=on:br=off:chr=on:fsd=on:fsdmm=1:hud=10:nm=0:ntd=on:nwc=9.0:piset=or:plsq=on:plsqc=2:plsql=on:plsqr=852219,1048576:rawr=on:sp=const_frequency:spb=units:i=182:si=on:rtra=on_0 on theBenchmark for (2993ds/182Mi)
% 4.32/0.99 % (13025)Instruction limit reached!
% 4.32/0.99 % (13025)------------------------------
% 4.32/0.99 % (13025)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.32/0.99 % (13025)Termination reason: Unknown
% 4.32/0.99 % (13025)Termination phase: Saturation
% 4.32/0.99
% 4.32/0.99 % (13025)Memory used [KB]: 8059
% 4.32/0.99 % (13025)Time elapsed: 0.065 s
% 4.32/0.99 % (13025)Instructions burned: 260 (million)
% 4.32/0.99 % (13025)------------------------------
% 4.32/0.99 % (13025)------------------------------
% 4.32/1.00 % (13033)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=182:si=on:rtra=on_0 on theBenchmark for (2993ds/182Mi)
% 4.32/1.01 % (13027)Instruction limit reached!
% 4.32/1.01 % (13027)------------------------------
% 4.32/1.01 % (13027)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.32/1.01 % (13027)Termination reason: Unknown
% 4.32/1.01 % (13027)Termination phase: Property scanning
% 4.32/1.01
% 4.32/1.01 % (13027)Memory used [KB]: 4349
% 4.32/1.01 % (13027)Time elapsed: 0.059 s
% 4.32/1.01 % (13027)Instructions burned: 233 (million)
% 4.32/1.01 % (13027)------------------------------
% 4.32/1.01 % (13027)------------------------------
% 4.32/1.02 % (13034)dis+10_1:8_cha=on:cnfonf=lazy_pi_sigma_gen:fe=axiom:hud=5:plsq=on:plsqr=32,1:prag=on:sos=all:i=154:si=on:rtra=on_0 on theBenchmark for (2993ds/154Mi)
% 4.32/1.03 % (13017)Instruction limit reached!
% 4.32/1.03 % (13017)------------------------------
% 4.32/1.03 % (13017)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.32/1.03 % (13017)Termination reason: Unknown
% 4.32/1.03 % (13017)Termination phase: Saturation
% 4.32/1.03
% 4.32/1.03 % (13017)Memory used [KB]: 10490
% 4.32/1.03 % (13017)Time elapsed: 0.173 s
% 4.32/1.03 % (13017)Instructions burned: 616 (million)
% 4.32/1.03 % (13017)------------------------------
% 4.32/1.03 % (13017)------------------------------
% 4.32/1.03 % (13035)dis+1003_1:64_atotf=0.4:au=on:fsr=off:hflw=5:hfsq=on:hfsqc=20:hfsql=off:plsq=on:plsqc=1:plsqr=32,1:i=79:si=on:rtra=on_0 on theBenchmark for (2993ds/79Mi)
% 4.32/1.03 % (13032)Instruction limit reached!
% 4.32/1.03 % (13032)------------------------------
% 4.32/1.03 % (13032)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.32/1.03 % (13032)Termination reason: Unknown
% 4.32/1.03 % (13032)Termination phase: Property scanning
% 4.32/1.03
% 4.32/1.03 % (13032)Memory used [KB]: 3070
% 4.32/1.03 % (13032)Time elapsed: 0.046 s
% 4.32/1.03 % (13032)Instructions burned: 183 (million)
% 4.32/1.03 % (13032)------------------------------
% 4.32/1.03 % (13032)------------------------------
% 4.78/1.04 % (13030)Instruction limit reached!
% 4.78/1.04 % (13030)------------------------------
% 4.78/1.04 % (13030)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.78/1.04 % (13030)Termination reason: Unknown
% 4.78/1.04 % (13030)Termination phase: Saturation
% 4.78/1.04
% 4.78/1.04 % (13030)Memory used [KB]: 7675
% 4.78/1.04 % (13030)Time elapsed: 0.072 s
% 4.78/1.04 % (13030)Instructions burned: 301 (million)
% 4.78/1.04 % (13030)------------------------------
% 4.78/1.04 % (13030)------------------------------
% 4.78/1.04 % (13036)dis+1010_5:2_anc=all_dependent:awrs=converge:bd=off:bet=on:c=on:cha=on:cnfonf=lazy_not_gen_be_off:fe=axiom:hud=5:kws=precedence:piset=and:prag=on:s2a=on:sac=on:slsq=on:slsqc=1:sp=reverse_arity:ss=axioms:st=1.5:i=216:si=on:rtra=on_0 on theBenchmark for (2993ds/216Mi)
% 4.78/1.05 % (13037)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on theBenchmark for (2993ds/114Mi)
% 4.78/1.05 % (13033)Instruction limit reached!
% 4.78/1.05 % (13033)------------------------------
% 4.78/1.05 % (13033)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.78/1.05 % (13033)Termination reason: Unknown
% 4.78/1.05 % (13033)Termination phase: Property scanning
% 4.78/1.05
% 4.78/1.05 % (13033)Memory used [KB]: 5628
% 4.78/1.05 % (13033)Time elapsed: 0.054 s
% 4.78/1.05 % (13033)Instructions burned: 184 (million)
% 4.78/1.05 % (13033)------------------------------
% 4.78/1.05 % (13033)------------------------------
% 4.78/1.05 % (13034)Instruction limit reached!
% 4.78/1.05 % (13034)------------------------------
% 4.78/1.05 % (13034)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.78/1.05 % (13034)Termination reason: Unknown
% 4.78/1.05 % (13034)Termination phase: Function definition elimination
% 4.78/1.05
% 4.78/1.05 % (13034)Memory used [KB]: 3198
% 4.78/1.05 % (13034)Time elapsed: 0.039 s
% 4.78/1.05 % (13034)Instructions burned: 155 (million)
% 4.78/1.05 % (13034)------------------------------
% 4.78/1.05 % (13034)------------------------------
% 4.78/1.06 % (13035)Instruction limit reached!
% 4.78/1.06 % (13035)------------------------------
% 4.78/1.06 % (13035)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.78/1.06 % (13035)Termination reason: Unknown
% 4.78/1.06 % (13035)Termination phase: Property scanning
% 4.78/1.06
% 4.78/1.06 % (13035)Memory used [KB]: 2814
% 4.78/1.06 % (13035)Time elapsed: 0.023 s
% 4.78/1.06 % (13035)Instructions burned: 83 (million)
% 4.78/1.06 % (13035)------------------------------
% 4.78/1.06 % (13035)------------------------------
% 4.78/1.06 % (13038)dis+1002_1:1_acc=on:au=on:bd=off:e2e=on:sgt=8:ss=axioms:i=922:si=on:rtra=on_0 on theBenchmark for (2993ds/922Mi)
% 4.78/1.06 % (13039)lrs+10_1:128_au=on:bd=off:cnfonf=lazy_not_gen_be_off:nwc=10.0:piset=and:i=182:si=on:rtra=on_0 on theBenchmark for (2993ds/182Mi)
% 4.78/1.06 % (13040)ott+1010_1:1024_au=on:av=off:c=on:cnfonf=conj_eager:piset=equals:s2a=on:sp=occurrence:spb=units:ss=axioms:i=164:si=on:rtra=on_0 on theBenchmark for (2993ds/164Mi)
% 5.65/1.08 % (13037)Instruction limit reached!
% 5.65/1.08 % (13037)------------------------------
% 5.65/1.08 % (13037)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.65/1.08 % (13037)Termination reason: Unknown
% 5.65/1.08 % (13037)Termination phase: Property scanning
% 5.65/1.08
% 5.65/1.08 % (13037)Memory used [KB]: 2942
% 5.65/1.08 % (13037)Time elapsed: 0.031 s
% 5.65/1.08 % (13037)Instructions burned: 116 (million)
% 5.65/1.08 % (13037)------------------------------
% 5.65/1.08 % (13037)------------------------------
% 5.65/1.08 % (13028)Instruction limit reached!
% 5.65/1.08 % (13028)------------------------------
% 5.65/1.08 % (13028)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.65/1.08 % (13028)Termination reason: Unknown
% 5.65/1.08 % (13028)Termination phase: Saturation
% 5.65/1.08
% 5.65/1.08 % (13028)Memory used [KB]: 9978
% 5.65/1.08 % (13028)Time elapsed: 0.118 s
% 5.65/1.08 % (13028)Instructions burned: 461 (million)
% 5.65/1.08 % (13028)------------------------------
% 5.65/1.08 % (13028)------------------------------
% 5.65/1.09 % (12999)Instruction limit reached!
% 5.65/1.09 % (12999)------------------------------
% 5.65/1.09 % (12999)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.65/1.09 % (12999)Termination reason: Unknown
% 5.65/1.09 % (12999)Termination phase: Saturation
% 5.65/1.09
% 5.65/1.09 % (12999)Memory used [KB]: 13176
% 5.65/1.09 % (12999)Time elapsed: 0.355 s
% 5.65/1.09 % (12999)Instructions burned: 1087 (million)
% 5.65/1.09 % (12999)------------------------------
% 5.65/1.09 % (12999)------------------------------
% 5.65/1.09 % (13041)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=50:si=on:rtra=on_0 on theBenchmark for (2992ds/50Mi)
% 5.65/1.09 % (13042)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on theBenchmark for (2992ds/368Mi)
% 5.65/1.09 % (13043)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on theBenchmark for (2992ds/1021Mi)
% 5.65/1.10 % (13041)Instruction limit reached!
% 5.65/1.10 % (13041)------------------------------
% 5.65/1.10 % (13041)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.65/1.10 % (13041)Termination reason: Unknown
% 5.65/1.10 % (13041)Termination phase: shuffling
% 5.65/1.10
% 5.65/1.10 % (13041)Memory used [KB]: 2558
% 5.65/1.10 % (13041)Time elapsed: 0.015 s
% 5.65/1.10 % (13041)Instructions burned: 51 (million)
% 5.65/1.10 % (13041)------------------------------
% 5.65/1.10 % (13041)------------------------------
% 5.65/1.10 % (13039)Instruction limit reached!
% 5.65/1.10 % (13039)------------------------------
% 5.65/1.10 % (13039)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.65/1.10 % (13039)Termination reason: Unknown
% 5.65/1.10 % (13039)Termination phase: Property scanning
% 5.65/1.10
% 5.65/1.10 % (13039)Memory used [KB]: 3198
% 5.65/1.10 % (13039)Time elapsed: 0.045 s
% 5.65/1.10 % (13039)Instructions burned: 184 (million)
% 5.65/1.10 % (13039)------------------------------
% 5.65/1.10 % (13039)------------------------------
% 5.65/1.10 % (13036)Instruction limit reached!
% 5.65/1.10 % (13036)------------------------------
% 5.65/1.10 % (13036)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.65/1.10 % (13036)Termination reason: Unknown
% 5.65/1.10 % (13036)Termination phase: Property scanning
% 5.65/1.10
% 5.65/1.11 % (13036)Memory used [KB]: 3198
% 5.65/1.11 % (13036)Time elapsed: 0.056 s
% 5.65/1.11 % (13036)Instructions burned: 218 (million)
% 5.65/1.11 % (13036)------------------------------
% 5.65/1.11 % (13036)------------------------------
% 5.65/1.11 % (13040)Instruction limit reached!
% 5.65/1.11 % (13040)------------------------------
% 5.65/1.11 % (13040)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.65/1.11 % (13040)Termination reason: Unknown
% 5.65/1.11 % (13040)Termination phase: Property scanning
% 5.65/1.11
% 5.65/1.11 % (13040)Memory used [KB]: 2942
% 5.65/1.11 % (13040)Time elapsed: 0.043 s
% 5.65/1.11 % (13040)Instructions burned: 167 (million)
% 5.65/1.11 % (13040)------------------------------
% 5.65/1.11 % (13040)------------------------------
% 5.65/1.11 % (13044)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=267:si=on:rtra=on_0 on theBenchmark for (2992ds/267Mi)
% 5.65/1.11 % (13045)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=204:si=on:rtra=on_0 on theBenchmark for (2992ds/204Mi)
% 5.65/1.11 % (13046)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on theBenchmark for (2992ds/26Mi)
% 5.65/1.11 % (13047)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=53:si=on:rtra=on_0 on theBenchmark for (2992ds/53Mi)
% 5.65/1.12 % (13046)Instruction limit reached!
% 5.65/1.12 % (13046)------------------------------
% 5.65/1.12 % (13046)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.65/1.12 % (13046)Termination reason: Unknown
% 5.65/1.12 % (13046)Termination phase: shuffling
% 5.65/1.12
% 5.65/1.12 % (13046)Memory used [KB]: 2174
% 5.65/1.12 % (13046)Time elapsed: 0.009 s
% 5.65/1.12 % (13046)Instructions burned: 28 (million)
% 5.65/1.12 % (13046)------------------------------
% 5.65/1.12 % (13046)------------------------------
% 5.65/1.13 % (13047)Instruction limit reached!
% 5.65/1.13 % (13047)------------------------------
% 5.65/1.13 % (13047)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.65/1.13 % (13047)Termination reason: Unknown
% 5.65/1.13 % (13047)Termination phase: shuffling
% 5.65/1.13
% 5.65/1.13 % (13047)Memory used [KB]: 2558
% 5.65/1.13 % (13047)Time elapsed: 0.016 s
% 5.65/1.13 % (13047)Instructions burned: 55 (million)
% 5.65/1.13 % (13047)------------------------------
% 5.65/1.13 % (13047)------------------------------
% 5.65/1.13 % (13048)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=4436:si=on:rtra=on_0 on theBenchmark for (2992ds/4436Mi)
% 5.96/1.14 % (13049)dis+1010_1:1_acc=model:avsq=on:ixr=off:prag=on:s2a=on:sac=on:i=1539:si=on:rtra=on_0 on theBenchmark for (2992ds/1539Mi)
% 5.96/1.16 % (13045)Instruction limit reached!
% 5.96/1.16 % (13045)------------------------------
% 5.96/1.16 % (13045)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.96/1.16 % (13045)Termination reason: Unknown
% 5.96/1.16 % (13045)Termination phase: Property scanning
% 5.96/1.16
% 5.96/1.16 % (13045)Memory used [KB]: 3198
% 5.96/1.16 % (13045)Time elapsed: 0.051 s
% 5.96/1.16 % (13045)Instructions burned: 207 (million)
% 5.96/1.16 % (13045)------------------------------
% 5.96/1.16 % (13045)------------------------------
% 6.02/1.17 % (13044)Instruction limit reached!
% 6.02/1.17 % (13044)------------------------------
% 6.02/1.17 % (13044)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.02/1.17 % (13044)Termination reason: Unknown
% 6.02/1.17 % (13044)Termination phase: Saturation
% 6.02/1.17
% 6.02/1.17 % (13044)Memory used [KB]: 7675
% 6.02/1.17 % (13044)Time elapsed: 0.064 s
% 6.02/1.17 % (13044)Instructions burned: 267 (million)
% 6.02/1.17 % (13044)------------------------------
% 6.02/1.17 % (13044)------------------------------
% 6.02/1.17 % (13050)lrs+2_1:1_bd=off:e2e=on:fde=none:kws=inv_precedence:plsq=on:plsqr=32,1:sos=on:i=408:si=on:rtra=on_0 on theBenchmark for (2992ds/408Mi)
% 6.02/1.18 % (13051)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=5205:si=on:rtra=on_0 on theBenchmark for (2991ds/5205Mi)
% 6.02/1.19 % (13042)Instruction limit reached!
% 6.02/1.19 % (13042)------------------------------
% 6.02/1.19 % (13042)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.02/1.19 % (13042)Termination reason: Unknown
% 6.02/1.19 % (13042)Termination phase: Saturation
% 6.02/1.19
% 6.02/1.19 % (13042)Memory used [KB]: 9594
% 6.02/1.19 % (13042)Time elapsed: 0.095 s
% 6.02/1.19 % (13042)Instructions burned: 369 (million)
% 6.02/1.19 % (13042)------------------------------
% 6.02/1.19 % (13042)------------------------------
% 6.02/1.19 % (13052)dis+1010_1:4_au=on:av=off:cbe=off:nwc=10.0:s2a=on:s2at=3.0:sd=2:ss=axioms:st=5.0:i=1913:si=on:rtra=on_0 on theBenchmark for (2991ds/1913Mi)
% 6.02/1.22 % (13031)Instruction limit reached!
% 6.02/1.22 % (13031)------------------------------
% 6.02/1.22 % (13031)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.02/1.22 % (13031)Termination reason: Unknown
% 6.02/1.22 % (13031)Termination phase: Saturation
% 6.02/1.22
% 6.02/1.22 % (13031)Memory used [KB]: 13304
% 6.02/1.22 % (13031)Time elapsed: 0.232 s
% 6.02/1.22 % (13031)Instructions burned: 987 (million)
% 6.02/1.22 % (13031)------------------------------
% 6.02/1.22 % (13031)------------------------------
% 6.37/1.22 % (13053)lrs+2_1:1_bd=off:cbe=off:piset=equals:sd=1:sgt=20:sos=all:ss=axioms:i=4350:si=on:rtra=on_0 on theBenchmark for (2991ds/4350Mi)
% 6.41/1.29 % (13050)Instruction limit reached!
% 6.41/1.29 % (13050)------------------------------
% 6.41/1.29 % (13050)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.41/1.29 % (13050)Termination reason: Unknown
% 6.41/1.29 % (13050)Termination phase: Saturation
% 6.41/1.29
% 6.41/1.29 % (13050)Memory used [KB]: 12153
% 6.41/1.29 % (13050)Time elapsed: 0.121 s
% 6.41/1.29 % (13050)Instructions burned: 410 (million)
% 6.41/1.29 % (13050)------------------------------
% 6.41/1.29 % (13050)------------------------------
% 6.41/1.30 % (13054)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=68:si=on:rtra=on_0 on theBenchmark for (2990ds/68Mi)
% 6.41/1.32 % (13054)Instruction limit reached!
% 6.41/1.32 % (13054)------------------------------
% 6.41/1.32 % (13054)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.41/1.32 % (13054)Termination reason: Unknown
% 6.41/1.32 % (13054)Termination phase: Property scanning
% 6.41/1.32
% 6.41/1.32 % (13054)Memory used [KB]: 2814
% 6.41/1.32 % (13054)Time elapsed: 0.020 s
% 6.41/1.32 % (13054)Instructions burned: 68 (million)
% 6.41/1.32 % (13054)------------------------------
% 6.41/1.32 % (13054)------------------------------
% 6.41/1.32 % (13055)dis+10_1:1_au=on:nwc=5.0:s2a=on:s2at=2.0:sac=on:sd=7:ss=axioms:st=2.0:i=358:si=on:rtra=on_0 on theBenchmark for (2990ds/358Mi)
% 6.64/1.34 % (13038)Instruction limit reached!
% 6.64/1.34 % (13038)------------------------------
% 6.64/1.34 % (13038)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.64/1.34 % (13038)Termination reason: Unknown
% 6.64/1.34 % (13038)Termination phase: Saturation
% 6.64/1.34
% 6.64/1.34 % (13038)Memory used [KB]: 12920
% 6.64/1.34 % (13038)Time elapsed: 0.286 s
% 6.64/1.34 % (13038)Instructions burned: 922 (million)
% 6.64/1.34 % (13038)------------------------------
% 6.64/1.34 % (13038)------------------------------
% 6.64/1.35 % (13056)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on theBenchmark for (2990ds/31Mi)
% 6.64/1.36 % (13056)Instruction limit reached!
% 6.64/1.36 % (13056)------------------------------
% 6.64/1.36 % (13056)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.64/1.36 % (13056)Termination reason: Unknown
% 6.64/1.36 % (13056)Termination phase: shuffling
% 6.64/1.36
% 6.64/1.36 % (13056)Memory used [KB]: 2174
% 6.64/1.36 % (13056)Time elapsed: 0.010 s
% 6.64/1.36 % (13056)Instructions burned: 31 (million)
% 6.64/1.36 % (13056)------------------------------
% 6.64/1.36 % (13056)------------------------------
% 6.67/1.37 % (13057)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on theBenchmark for (2990ds/279Mi)
% 6.67/1.41 % (13055)Instruction limit reached!
% 6.67/1.41 % (13055)------------------------------
% 6.67/1.41 % (13055)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.67/1.41 % (13055)Termination reason: Unknown
% 6.67/1.41 % (13055)Termination phase: Saturation
% 6.67/1.41
% 6.67/1.41 % (13055)Memory used [KB]: 8699
% 6.67/1.41 % (13055)Time elapsed: 0.091 s
% 6.67/1.41 % (13055)Instructions burned: 361 (million)
% 6.67/1.41 % (13055)------------------------------
% 6.67/1.41 % (13055)------------------------------
% 6.67/1.41 % (13043)Instruction limit reached!
% 6.67/1.41 % (13043)------------------------------
% 6.67/1.41 % (13043)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.67/1.41 % (13043)Termination reason: Unknown
% 6.67/1.41 % (13043)Termination phase: Saturation
% 6.67/1.41
% 6.67/1.41 % (13043)Memory used [KB]: 13432
% 6.67/1.41 % (13043)Time elapsed: 0.322 s
% 6.67/1.41 % (13043)Instructions burned: 1023 (million)
% 6.67/1.41 % (13043)------------------------------
% 6.67/1.41 % (13043)------------------------------
% 6.67/1.42 % (13058)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on theBenchmark for (2989ds/258Mi)
% 6.67/1.42 % (13059)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on theBenchmark for (2989ds/26Mi)
% 6.67/1.43 % (13049)First to succeed.
% 6.67/1.43 % (13049)Refutation found. Thanks to Tanya!
% 6.67/1.43 % SZS status Theorem for theBenchmark
% 6.67/1.43 % SZS output start Proof for theBenchmark
% 6.67/1.43 thf(func_def_0, type, in: $i > $i > $o).
% 6.67/1.43 thf(func_def_1, type, exu: ($i > $o) > $o).
% 6.67/1.43 thf(func_def_6, type, setadjoin: $i > $i > $i).
% 6.67/1.43 thf(func_def_8, type, powerset: $i > $i).
% 6.67/1.43 thf(func_def_10, type, setunion: $i > $i).
% 6.67/1.43 thf(func_def_19, type, descr: ($i > $o) > $i).
% 6.67/1.43 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i).
% 6.67/1.43 thf(func_def_26, type, prop2set: $o > $i).
% 6.67/1.43 thf(func_def_36, type, nonempty: $i > $o).
% 6.67/1.43 thf(func_def_69, type, set2prop: $i > $o).
% 6.67/1.43 thf(func_def_88, type, subset: $i > $i > $o).
% 6.67/1.43 thf(func_def_89, type, disjoint: $i > $i > $o).
% 6.67/1.43 thf(func_def_90, type, setsmeet: $i > $i > $o).
% 6.67/1.43 thf(func_def_114, type, binunion: $i > $i > $i).
% 6.67/1.43 thf(func_def_122, type, binintersect: $i > $i > $i).
% 6.67/1.43 thf(func_def_135, type, regular: $i > $o).
% 6.67/1.43 thf(func_def_136, type, setminus: $i > $i > $i).
% 6.67/1.43 thf(func_def_147, type, symdiff: $i > $i > $i).
% 6.67/1.43 thf(func_def_153, type, iskpair: $i > $o).
% 6.67/1.43 thf(func_def_158, type, kpair: $i > $i > $i).
% 6.67/1.43 thf(func_def_160, type, cartprod: $i > $i > $i).
% 6.67/1.43 thf(func_def_177, type, singleton: $i > $o).
% 6.67/1.43 thf(func_def_179, type, ex1: $i > ($i > $o) > $o).
% 6.67/1.43 thf(func_def_184, type, atmost1p: $i > $o).
% 6.67/1.43 thf(func_def_185, type, atleast2p: $i > $o).
% 6.67/1.43 thf(func_def_186, type, atmost2p: $i > $o).
% 6.67/1.43 thf(func_def_187, type, upairsetp: $i > $o).
% 6.67/1.43 thf(func_def_191, type, kfst: $i > $i).
% 6.67/1.43 thf(func_def_203, type, ksnd: $i > $i).
% 6.67/1.43 thf(func_def_213, type, breln: $i > $i > $i > $o).
% 6.67/1.43 thf(func_def_214, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i).
% 6.67/1.43 thf(func_def_222, type, func: $i > $i > $i > $o).
% 6.67/1.43 thf(func_def_223, type, funcSet: $i > $i > $i).
% 6.67/1.43 thf(func_def_226, type, ap: $i > $i > $i > $i > $i).
% 6.67/1.43 thf(func_def_232, type, lam: $i > $i > ($i > $i) > $i).
% 6.67/1.43 thf(func_def_259, type, if: $i > $o > $i > $i > $i).
% 6.67/1.43 thf(func_def_323, type, breln1: $i > $i > $o).
% 6.67/1.43 thf(func_def_325, type, breln1Set: $i > $i).
% 6.67/1.43 thf(func_def_327, type, transitive: $i > $i > $o).
% 6.67/1.43 thf(func_def_328, type, antisymmetric: $i > $i > $o).
% 6.67/1.43 thf(func_def_329, type, reflexive: $i > $i > $o).
% 6.67/1.43 thf(func_def_330, type, refltransitive: $i > $i > $o).
% 6.67/1.43 thf(func_def_331, type, refllinearorder: $i > $i > $o).
% 6.67/1.43 thf(func_def_332, type, reflwellordering: $i > $i > $o).
% 6.67/1.43 thf(func_def_338, type, breln1invset: $i > $i > $i).
% 6.67/1.43 thf(func_def_342, type, breln1compset: $i > $i > $i > $i).
% 6.67/1.43 thf(func_def_360, type, image1: $i > ($i > $i) > $i).
% 6.67/1.43 thf(func_def_364, type, injective: $i > $i > $i > $o).
% 6.67/1.43 thf(func_def_365, type, injFuncSet: $i > $i > $i).
% 6.67/1.43 thf(func_def_369, type, surjective: $i > $i > $i > $o).
% 6.67/1.43 thf(func_def_370, type, surjFuncSet: $i > $i > $i).
% 6.67/1.43 thf(func_def_378, type, omegaS: $i > $i).
% 6.67/1.43 thf(func_def_382, type, peano3: $i > $i > $i > $o).
% 6.67/1.43 thf(func_def_383, type, peano4: $i > $i > $i > $o).
% 6.67/1.43 thf(func_def_384, type, peano5: $i > $i > $i > $o).
% 6.67/1.43 thf(func_def_406, type, sK3: $i > $i > $i > $i).
% 6.67/1.43 thf(func_def_407, type, sK4: $i > $i > $i > $i).
% 6.67/1.43 thf(func_def_408, type, sK5: $i > $i > $i > $i).
% 6.67/1.43 thf(func_def_409, type, sK6: $i > $i > $i > $i).
% 6.67/1.43 thf(func_def_410, type, sK7: $i > $i > $i > $i).
% 6.67/1.43 thf(func_def_411, type, sK8: $i > $i > $i > $i).
% 6.67/1.43 thf(func_def_412, type, sK9: $i > $i > $i > $i).
% 6.67/1.43 thf(func_def_413, type, sK10: $i > $i).
% 6.67/1.43 thf(func_def_414, type, sK11: $i > $i > $i).
% 6.67/1.43 thf(func_def_415, type, sK12: $i > $i > $i).
% 6.67/1.43 thf(func_def_416, type, sK13: ($i > $o) > $i > $i).
% 6.67/1.43 thf(func_def_417, type, sK14: ($i > $o) > $i > $i).
% 6.67/1.43 thf(func_def_418, type, sK15: ($i > $o) > $i).
% 6.67/1.43 thf(func_def_419, type, sK16: ($i > $o) > $i > $i).
% 6.67/1.43 thf(func_def_420, type, sK17: ($i > $o) > $i).
% 6.67/1.43 thf(func_def_421, type, sK18: ($i > $o) > $i).
% 6.67/1.43 thf(func_def_422, type, sK19: ($i > $o) > $i).
% 6.67/1.43 thf(func_def_423, type, sK20: ($i > $o) > $i).
% 6.67/1.43 thf(func_def_424, type, sK21: ($i > $o) > $i > $i).
% 6.67/1.43 thf(func_def_425, type, sK22: ($i > $i > $o) > $i > $i).
% 6.67/1.43 thf(func_def_426, type, sK23: ($i > $i > $o) > $i > $i).
% 6.67/1.43 thf(func_def_427, type, sK24: ($i > $i > $o) > $i > $i).
% 6.67/1.43 thf(func_def_428, type, sK25: $i > ($i > $i > $o) > $i > $i).
% 6.67/1.43 thf(func_def_429, type, sK26: ($i > $o) > ($i > $o) > $i).
% 6.67/1.43 thf(func_def_430, type, sK27: ($i > $o) > ($i > $o) > $i).
% 6.67/1.43 thf(func_def_431, type, sK28: ($i > $o) > ($i > $o) > $i > $i > $i).
% 6.67/1.43 thf(func_def_432, type, sK29: $i > $i > ($i > $o) > ($i > $o) > $i).
% 6.67/1.43 thf(func_def_433, type, sK30: $i > $i > $i).
% 6.67/1.43 thf(func_def_434, type, sK31: $i > $i).
% 6.67/1.43 thf(func_def_435, type, sK32: $i > ($i > $i) > $i > $i).
% 6.67/1.43 thf(func_def_436, type, sK33: $i > $i > $i > $i).
% 6.67/1.43 thf(func_def_437, type, sK34: $i > ($i > $i) > $i > $i).
% 6.67/1.43 thf(func_def_438, type, sK35: $i > ($i > $i) > $i > $i > $i).
% 6.67/1.43 thf(func_def_439, type, sK36: $i > ($i > $i) > $i > $i > $i).
% 6.67/1.43 thf(func_def_440, type, sK37: $i > $i > $i).
% 6.67/1.43 thf(func_def_441, type, sK38: ($i > $o) > $i > $i).
% 6.67/1.43 thf(func_def_442, type, sK39: ($i > $o) > $i).
% 6.67/1.43 thf(func_def_443, type, sK40: $i > ($i > $o) > $i).
% 6.67/1.43 thf(func_def_444, type, sK41: $i > $i > $i).
% 6.67/1.43 thf(func_def_445, type, sK42: $i > $i > $i > $i > $i).
% 6.67/1.43 thf(func_def_446, type, sK43: $i > $i > $i > $i > $i).
% 6.67/1.43 thf(func_def_447, type, sK44: $i > $i > $i > $i > $i).
% 6.67/1.43 thf(func_def_448, type, sK45: $i > $i > $i > $i > $i).
% 6.67/1.43 thf(func_def_449, type, sK46: $i > $i > $i > $i > $i).
% 6.67/1.43 thf(func_def_450, type, sK47: $i > $i > $i > $i > $i).
% 6.67/1.43 thf(func_def_451, type, sK48: $i > $i > $i > $i > $i).
% 6.67/1.43 thf(func_def_452, type, sK49: $i > $i > $i > $i > $i).
% 6.67/1.43 thf(func_def_453, type, sK50: ($i > $o) > $i > $i).
% 6.67/1.43 thf(func_def_454, type, sK51: $i > $i > ($i > $i) > $i).
% 6.67/1.43 thf(func_def_455, type, sK52: $i > ($i > $o) > $i > $i).
% 6.67/1.43 thf(func_def_456, type, sK53: $i > $i > $i > $i > $i).
% 6.67/1.43 thf(func_def_457, type, sK54: $i > $i).
% 6.67/1.43 thf(func_def_458, type, sK55: $i > $i > $i).
% 6.67/1.43 thf(func_def_459, type, sK56: $i > $i > $i).
% 6.67/1.43 thf(func_def_460, type, sK57: $i > $i > $i).
% 6.67/1.43 thf(func_def_461, type, sK58: $i > $i > $i).
% 6.67/1.43 thf(func_def_462, type, sK59: $i > $i > $i > $i).
% 6.67/1.43 thf(func_def_463, type, sK60: $i > ($i > $o) > $i).
% 6.67/1.43 thf(func_def_464, type, sK61: $i > $i > $i > $i > $i).
% 6.67/1.43 thf(func_def_465, type, sK62: $i > $i > $i > $i > $i).
% 6.67/1.43 thf(func_def_466, type, sK63: $i > $i > $i).
% 6.67/1.43 thf(func_def_467, type, sK64: $i > $i > $o > $i).
% 6.67/1.43 thf(func_def_468, type, sK65: $i > $i > ($i > $i) > $i).
% 6.67/1.43 thf(func_def_469, type, sK66: $i > ($i > $i) > $i > $i).
% 6.67/1.43 thf(func_def_470, type, sK67: ($i > $i) > $i > $i).
% 6.67/1.43 thf(func_def_471, type, sK68: $i > $i > $i).
% 6.67/1.43 thf(func_def_472, type, sK69: ($i > $o) > $i > $i).
% 6.67/1.43 thf(func_def_473, type, sK70: $i > $i > ($i > $i) > $i).
% 6.67/1.43 thf(func_def_474, type, sK71: $i > ($i > $o) > $i).
% 6.67/1.43 thf(func_def_475, type, sK72: ($i > $o) > ($i > $o) > $i).
% 6.67/1.43 thf(func_def_476, type, sK73: ($i > $o) > ($i > $o) > $i).
% 6.67/1.43 thf(func_def_477, type, sK74: ($i > $o) > $i > $i).
% 6.67/1.43 thf(func_def_478, type, sK75: ($i > $o) > $i > $i).
% 6.67/1.43 thf(func_def_479, type, sK76: ($i > $o) > $i > $i).
% 6.67/1.43 thf(func_def_480, type, sK77: ($i > $o) > $i > $i).
% 6.67/1.43 thf(func_def_481, type, sK78: ($i > $o) > $i > $i).
% 6.67/1.43 thf(func_def_482, type, sK79: $i > ($i > $i) > $i).
% 6.67/1.43 thf(func_def_483, type, sK80: $i > $i > ($i > $i) > $i).
% 6.67/1.43 thf(func_def_484, type, sK81: ($i > $o) > $i > $i).
% 6.67/1.43 thf(func_def_485, type, sK82: $i > $i > $i > $i).
% 6.67/1.43 thf(func_def_486, type, sK83: $i > $i > $i > $i).
% 6.67/1.43 thf(func_def_487, type, sK84: $i > $i > $i > $i).
% 6.67/1.43 thf(func_def_488, type, sK85: $i > ($i > $o) > $i).
% 6.67/1.43 thf(func_def_489, type, sK86: ($i > $i > $o) > $i > $i > $i).
% 6.67/1.43 thf(func_def_490, type, sK87: $i > $i > $i > $i).
% 6.67/1.43 thf(func_def_491, type, sK88: $i > $i > $i > $i).
% 6.67/1.43 thf(func_def_492, type, sK89: $i > $i > $i > $i > $i > $i).
% 6.67/1.43 thf(func_def_493, type, sK90: $i > $i > $i > ($i > $o) > $i).
% 6.67/1.43 thf(func_def_494, type, sK91: $i > $i > ($i > $o) > $i > $i).
% 6.67/1.43 thf(func_def_495, type, sK92: $i > $i).
% 6.67/1.43 thf(func_def_496, type, sK93: ($i > $o) > $i > $i).
% 6.67/1.43 thf(func_def_497, type, sK94: $i > $i > $i).
% 6.67/1.43 thf(func_def_498, type, sK95: $i > $i > ($i > $o) > $i).
% 6.67/1.43 thf(func_def_499, type, sK96: $i > $i > ($i > $o) > $i).
% 6.67/1.43 thf(func_def_500, type, sK97: $i > ($i > $o) > $i).
% 6.67/1.43 thf(func_def_501, type, sK98: $i > ($i > $o) > $i).
% 6.67/1.43 thf(func_def_502, type, sK99: $i > $i > $i > $o > $i > $i > $i).
% 6.67/1.43 thf(func_def_503, type, sK100: $i > $i).
% 6.67/1.43 thf(func_def_504, type, sK101: $i > $i).
% 6.67/1.43 thf(func_def_505, type, sK102: $i > $i > ($i > $i) > $i).
% 6.67/1.43 thf(func_def_506, type, sK103: $i > ($i > $o) > $i > $i).
% 6.67/1.43 thf(func_def_507, type, sK104: $i > ($i > $o) > $i > $i).
% 6.67/1.43 thf(func_def_508, type, sK105: $i > ($i > $o) > $i).
% 6.67/1.43 thf(func_def_509, type, sK106: $i > ($i > $o) > $i).
% 6.67/1.43 thf(func_def_510, type, sK107: $i > $i).
% 6.67/1.43 thf(func_def_511, type, sK108: $i > $i).
% 6.67/1.43 thf(func_def_512, type, sK109: $i > $i > $i > $i).
% 6.67/1.43 thf(func_def_513, type, sK110: $i > $i > $i > $i).
% 6.67/1.43 thf(func_def_514, type, sK111: $i > $i > ($i > $o) > $i > $i).
% 6.67/1.43 thf(func_def_515, type, sK112: $i > $i > ($i > $o) > $i > $i).
% 6.67/1.43 thf(func_def_516, type, sK113: $i > $i > $i > $i > $i).
% 6.67/1.43 thf(func_def_517, type, sK114: $i > $i > $i > $i > $i).
% 6.67/1.43 thf(func_def_518, type, ph115: !>[X0: $tType]:(X0)).
% 6.67/1.43 thf(f8181,plain,(
% 6.67/1.43 $false),
% 6.67/1.43 inference(avatar_sat_refutation,[],[f5532,f5542,f5681,f5701,f7728,f8077,f8179,f8180])).
% 6.67/1.43 thf(f8180,plain,(
% 6.67/1.43 ((in @ sK0 @ sK1) != $true) | ($false != (in @ sK0 @ sK1)) | ($false = $true)),
% 6.67/1.43 introduced(theory_tautology_sat_conflict,[])).
% 6.67/1.43 thf(f8179,plain,(
% 6.67/1.43 spl2_32 | spl2_1 | ~spl2_7),
% 6.67/1.43 inference(avatar_split_clause,[],[f8159,f5678,f5529,f8176])).
% 6.67/1.43 thf(f8176,plain,(
% 6.67/1.43 spl2_32 <=> ((in @ sK0 @ sK1) = $true)),
% 6.67/1.43 introduced(avatar_definition,[new_symbols(naming,[spl2_32])])).
% 6.67/1.43 thf(f5529,plain,(
% 6.67/1.43 spl2_1 <=> (sK0 = sK1)),
% 6.67/1.43 introduced(avatar_definition,[new_symbols(naming,[spl2_1])])).
% 6.67/1.43 thf(f5678,plain,(
% 6.67/1.43 spl2_7 <=> ((setadjoin @ sK0 @ sK0) = (setadjoin @ sK1 @ sK1))),
% 6.67/1.43 introduced(avatar_definition,[new_symbols(naming,[spl2_7])])).
% 6.67/1.43 thf(f8159,plain,(
% 6.67/1.43 ((in @ sK0 @ sK1) = $true) | (spl2_1 | ~spl2_7)),
% 6.67/1.43 inference(subsumption_resolution,[],[f8153,f5531])).
% 6.67/1.43 thf(f5531,plain,(
% 6.67/1.43 (sK0 != sK1) | spl2_1),
% 6.67/1.43 inference(avatar_component_clause,[],[f5529])).
% 6.67/1.43 thf(f8153,plain,(
% 6.67/1.43 ((in @ sK0 @ sK1) = $true) | (sK0 = sK1) | ~spl2_7),
% 6.67/1.43 inference(trivial_inequality_removal,[],[f8125])).
% 6.67/1.43 thf(f8125,plain,(
% 6.67/1.43 ((in @ sK0 @ sK1) = $true) | ($false = $true) | (sK0 = sK1) | ~spl2_7),
% 6.67/1.43 inference(superposition,[],[f4174,f7621])).
% 6.67/1.43 thf(f7621,plain,(
% 6.67/1.43 ( ! [X0 : $i] : (($false = (in @ X0 @ (setadjoin @ sK0 @ sK0))) | ((in @ X0 @ sK1) = $true) | (sK1 = X0)) ) | ~spl2_7),
% 6.67/1.43 inference(superposition,[],[f4128,f5680])).
% 6.67/1.43 thf(f5680,plain,(
% 6.67/1.43 ((setadjoin @ sK0 @ sK0) = (setadjoin @ sK1 @ sK1)) | ~spl2_7),
% 6.67/1.43 inference(avatar_component_clause,[],[f5678])).
% 6.67/1.43 thf(f4128,plain,(
% 6.67/1.43 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((in @ X3 @ (setadjoin @ X1 @ X2)) = $false) | ((in @ X3 @ X2) = $true) | (X1 = X3)) )),
% 6.67/1.43 inference(equality_proxy_clausification,[],[f4127])).
% 6.67/1.43 thf(f4127,plain,(
% 6.67/1.43 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((X3 = X1) = $true) | ((in @ X3 @ (setadjoin @ X1 @ X2)) = $false) | ((in @ X3 @ X2) = $true)) )),
% 6.67/1.43 inference(binary_proxy_clausification,[],[f4126])).
% 6.67/1.43 thf(f4126,plain,(
% 6.67/1.43 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((in @ X3 @ (setadjoin @ X1 @ X2)) = $false) | (((X3 = X1) | (in @ X3 @ X2)) = $true)) )),
% 6.67/1.43 inference(binary_proxy_clausification,[],[f4125])).
% 6.67/1.43 thf(f4125,plain,(
% 6.67/1.43 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((in @ X3 @ (setadjoin @ X1 @ X2)) => ((X3 = X1) | (in @ X3 @ X2))) = $true)) )),
% 6.67/1.43 inference(beta_eta_normalization,[],[f4124])).
% 6.67/1.43 thf(f4124,plain,(
% 6.67/1.43 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((^[Y0 : $i]: ((in @ Y0 @ (setadjoin @ X1 @ X2)) => ((Y0 = X1) | (in @ Y0 @ X2)))) @ X3) = $true)) )),
% 6.67/1.43 inference(pi_clausification,[],[f4123])).
% 6.67/1.43 thf(f4123,plain,(
% 6.67/1.43 ( ! [X2 : $i,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ (setadjoin @ X1 @ X2)) => ((Y0 = X1) | (in @ Y0 @ X2))))) = $true)) )),
% 6.67/1.43 inference(beta_eta_normalization,[],[f4122])).
% 6.67/1.43 thf(f4122,plain,(
% 6.67/1.43 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (setadjoin @ X1 @ Y0)) => ((Y1 = X1) | (in @ Y1 @ Y0)))))) @ X2) = $true)) )),
% 6.67/1.43 inference(pi_clausification,[],[f4121])).
% 6.67/1.43 thf(f4121,plain,(
% 6.67/1.43 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (setadjoin @ X1 @ Y0)) => ((Y1 = X1) | (in @ Y1 @ Y0))))))) = $true)) )),
% 6.67/1.43 inference(beta_eta_normalization,[],[f4120])).
% 6.67/1.43 thf(f4120,plain,(
% 6.67/1.43 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (setadjoin @ Y0 @ Y1)) => ((Y2 = Y0) | (in @ Y2 @ Y1)))))))) @ X1) = $true)) )),
% 6.67/1.43 inference(pi_clausification,[],[f1909])).
% 6.67/1.43 thf(f1909,plain,(
% 6.67/1.43 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (setadjoin @ Y0 @ Y1)) => ((Y2 = Y0) | (in @ Y2 @ Y1))))))))) = $true)),
% 6.67/1.43 inference(definition_unfolding,[],[f1570,f1230])).
% 6.67/1.43 thf(f1230,plain,(
% 6.67/1.43 (setadjoinOr = $true)),
% 6.67/1.43 inference(cnf_transformation,[],[f994])).
% 6.67/1.43 thf(f994,plain,(
% 6.67/1.43 (woz2Ex = $true) & (funcextLem = $true) & (singletoninpowerset = $true) & (binintersectSubset5 = $true) & (ex1I = $true) & (setextT = $true) & (demorgan2a2 = $true) & (complementT_lem = $true) & (eqimpsubset1 = $true) & (contrasubsetT1 = $true) & (vacuousDall = $true) & (powersetE1 = $true) & (binunionLsub = $true) & (breln1unionprop = $true) & (lam2p = $true) & (symdiffIneg2 = $true) & (emptysetsubset = $true) & (setminusELneg = $true) & (binintersectSubset2 = $true) & (subset2powerset = $true) & (omega0Ax = $true) & (emptysetAx = $true) & (subsetI1 = $true) & (woz1_1 = $true) & (setbeta = $true) & (breln1unionIL = $true) & (binintersectI = $true) & (surjFuncSetFuncIn = $true) & (binintersectER = $true) & (subsetE = $true) & (((in @ sK0 @ omega) = $true) & ((sK0 != sK1) & ((in @ sK1 @ omega) = $true) & ((omegaS @ sK0) = (omegaS @ sK1)))) & (breln1invE = $true) & (disjointsetsI1 = $true) & (inCongP = $true) & (powersetT_lem = $true) & (exuE3e = $true) & (woz1_4 = $true) & (exuEu = $true) & (upairsetE = $true) & (inIntersectImpInUnion = $true) & (setadjoinE = $true) & (funcGraphProp2 = $true) & (iftrue = $true) & (cartprodfstin = $true) & (setminusEL = $true) & (dsetconstrER = $true) & (setukpairIL = $true) & (cartprodsndpairEq = $true) & (powersetAx = $true) & (ifp = $true) & (injFuncSetFuncInj = $true) & (exuI2 = $true) & (setukpairinjL2 = $true) & (omegaSclos = $true) & (setminusSubset1 = $true) & (quantDeMorgan3 = $true) & (complementUnionInPowersetComplement = $true) & (setunionI = $true) & (exuI1 = $true) & (beta1 = $true) & (demorgan1b = $true) & (binunionT_lem = $true) & (setunionAx = $true) & (doubleComplementI1 = $true) & (notinsingleton = $true) & (ubforcartprodlem1 = $true) & (leftInvIsSurj = $true) & (uniqinunit = $true) & (inIntersectImpInUnion2 = $true) & (choice2fnsingleton = $true) & (doubleComplementEq = $true) & (dpsetconstrER = $true) & (setminusILneg = $true) & (surjFuncSetFuncSurj = $true) & (complementTI1 = $true) & (intersectInPowersetIntersectUnions = $true) & (prop2setE = $true) & (kfstsingleton = $true) & (binintersectRsub = $true) & (setunionsingleton2 = $true) & (setminusLsub = $true) & (exuE1 = $true) & (singletonsubset = $true) & (emptyset__Cong = $true) & (woz13rule1 = $true) & (subsetemptysetimpeq = $true) & (ubforcartprodlem2 = $true) & (brelnall2 = $true) & (secondinupair = $true) & (complementTnotintersectT = $true) & (emptysetimpfalse = $true) & (complementInPowersetComplementIntersect = $true) & (breln1all2 = $true) & (woz1_3 = $true) & (upairsetIL = $true) & (setextsub = $true) & (iftrueorfalse = $true) & (powerset__Cong = $true) & (symdiffIneg1 = $true) & (setunionE2 = $true) & (inComplementUnionImpInComplement1 = $true) & (setminusER = $true) & (dpsetconstrEL1 = $true) & (exuE2 = $true) & (demorgan1 = $true) & (inComplementUnionImpNotIn1 = $true) & (surjCantorThm = $true) & (dpsetconstrI = $true) & (powersetI1 = $true) & (breln1invprop = $true) & (doubleComplementE1 = $true) & (ksndsingleton = $true) & (powersetI = $true) & (replAx = $true) & (theeq = $true) & (contraSubsetComplement = $true) & (symdiffI2 = $true) & (funcGraphProp1 = $true) & (notsubsetI = $true) & (setOfPairsIsBReln = $true) & (setukpairinjR11 = $true) & (noeltsimpempty = $true) & (kpairsurjEq = $true) & (binintersectLsub = $true) & (setukpairinjR12 = $true) & (injFuncInInjFuncSet = $true) & (cartprodpairsurjEq = $true) & (descrp = $true) & (lam2lamEq = $true) & (funcinfuncset = $true) & (ex1E2 = $true) & (setukpairinjL = $true) & (lamp = $true) & (ap2apEq1 = $true) & (eqinunit = $true) & (breln1compprop = $true) & (inIntersectImpInIntersectUnions = $true) & (foundation2 = $true) & (singletonprop = $true) & (wellorderingAx = $true) & (setadjoin__Cong = $true) & (infuncsetfunc = $true) & (setunion__Cong = $true) & (emptyinunitempty = $true) & (binunionE = $true) & (upairset2IR = $true) & (woz13rule4 = $true) & (complementSubsetComplementIntersect = $true) & (emptyI = $true) & (setext = $true) & (powersetTI1 = $true) & (singletonsuniq = $true) & (binunionTIRcontra = $true) & (upairequniteq = $true) & (ap2apEq2 = $true) & (cartprodpairin = $true) & (ksndpairEq = $true) & (cartprodmempair = $true) & (setadjoinSub = $true) & (demorgan2b2 = $true) & (doubleComplementSub2 = $true) & (dpsetconstrERa = $true) & (setukpairinjR = $true) & (ex1I2 = $true) & (iftrueProp2 = $true) & (image1E = $true) & (notinself2 = $true) & (contrasubsetT = $true) & (setminusT_lem = $true) & (complementTE1 = $true) & (ap2p = $true) & (brelnall1 = $true) & (breln1compEex = $true) & (inPowerset = $true) & (emptysetE = $true) & (image1Ex = $true) & (breln1invI = $true) & (injFuncSetFuncIn = $true) & (setextAx = $true) & (woz1_5 = $true) & (nonemptyI1 = $true) & (contrasubsetT2 = $true) & (woz2B = $true) & (dsetconstrI = $true) & (eqbreln = $true) & (dpsetconstrEL2 = $true) & (binunionTEcontra = $true) & (setunionsingleton1 = $true) & (breln1compE = $true) & (dsetconstrEL = $true) & (omegaSp = $true) & (setminusERneg = $true) & (setadjoinIR = $true) & (binunionTILcontra = $true) & (setadjoinIL = $true) & (dpsetconstrSub = $true) & (complementTcontraSubset = $true) & (setukpairinjR2 = $true) & (funcext = $true) & (upairset2E = $true) & (foundationAx = $true) & (dsetconstr__Cong = $true) & (notequalI1 = $true) & (beta2 = $true) & (binunionIR = $true) & (funcext2 = $true) & (quantDeMorgan1 = $true) & (iftrueProp1 = $true) & (nonemptyImpWitness = $true) & (app = $true) & (upairsubunion = $true) & (cartprodsndin = $true) & (binintersectSubset3 = $true) & (sepSubset = $true) & (cartprodpairmemER = $true) & (upairsetIR = $true) & (quantDeMorgan2 = $true) & (emptyE1 = $true) & (binintersectEL = $true) & (binintersectSubset4 = $true) & (setadjoinSub2 = $true) & (eta2 = $true) & (kfstpairEq = $true) & (setadjoinAx = $true) & (powersetsubset = $true) & (ex1E1 = $true) & (breln1unionIR = $true) & (emptyInPowerset = $true) & (breln1unionE = $true) & (subPowSU = $true) & (binunionEcases = $true) & (binintersectSubset1 = $true) & (emptyinPowerset = $true) & (omegaSAx = $true) & (apProp = $true) & (complementImpComplementIntersect = $true) & (subsetTrans = $true) & (notinemptyset = $true) & (image1I = $true) & (omegaIndAx = $true) & (setminusSubset2 = $true) & (setukpairinjR1 = $true) & (breln1unionCommutes = $true) & (theprop = $true) & (exuI3 = $true) & (funcGraphProp4 = $true) & (powersetTE1 = $true) & (binintersectT_lem = $true) & (peano0notS = $true) & (binunionTE = $true) & (kpairp = $true) & (image1Equiv = $true) & (binunionIL = $true) & (subbreln = $true) & (lamProp = $true) & (contrasubsetT3 = $true) & (nonemptyI = $true) & (demorgan2b = $true) & (setminusIRneg = $true) & (singletonsswitch = $true) & (eta1 = $true) & (binunionRsub = $true) & (bs114d = $true) & (descr__Cong = $true) & (iffalse = $true) & (cartprodmempair1 = $true) & (woz1_2 = $true) & (iffalseProp2 = $true) & (subsetRefl = $true) & (iffalseProp1 = $true) & (prop2set2propI = $true) & (subsetTI = $true) & (nonemptyE1 = $true) & (eqimpsubset2 = $true) & (woz13rule0 = $true) & (in__Cong = $true) & (demorgan2 = $true) & (subsetE2 = $true) & (singletoninpowunion = $true) & (notdexE = $true) & (image1Ex1 = $true) & (upairinpowunion = $true) & (funcGraphProp3 = $true) & (sepInPowerset = $true) & (setukpairinjL1 = $true) & (demorgan1a = $true) & (binintersectTERcontra = $true) & (powersetE = $true) & (exuE3u = $true) & (notdallE = $true) & (ifSingleton = $true) & (eqbreln1 = $true) & (kpairiskpair = $true) & (setunionE = $true) & (setminusI = $true) & (breln1unionEcases = $true) & (omega__Cong = $true) & (breln1unionI = $true) & (funcImageSingleton = $true) & (doubleComplementSub1 = $true) & (symdiffE = $true) & (setOfPairsIsBReln1 = $true) & (ubforcartprodlem3 = $true) & (setadjoinOr = $true) & (woz13rule2 = $true) & (woz2A = $true) & (cartprodpairmemEL = $true) & (symdiffI1 = $true) & (breln1compI = $true) & (quantDeMorgan4 = $true) & (breln1all1 = $true) & (cartprodfstpairEq = $true) & (setukpairIR = $true) & (woz13rule3 = $true) & (demorgan2a = $true) & (subbreln1 = $true) & (notequalI2 = $true) & (exu__Cong = $true) & (setoftrueEq = $true) & (setunionsingleton = $true) & (binintersectTELcontra = $true) & (woz2W = $true) & (subsetI2 = $true) & (demorgan2a1 = $true) & (breln1SetBreln1 = $true) & (cartprodmempaircEq = $true) & (notinself = $true) & (prop2setI = $true)),
% 6.67/1.43 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f991,f993,f992])).
% 6.67/1.43 thf(f992,plain,(
% 6.67/1.43 ? [X0] : (((in @ X0 @ omega) = $true) & ? [X1] : ((X0 != X1) & ((in @ X1 @ omega) = $true) & ((omegaS @ X1) = (omegaS @ X0)))) => (((in @ sK0 @ omega) = $true) & ? [X1] : ((sK0 != X1) & ((in @ X1 @ omega) = $true) & ((omegaS @ X1) = (omegaS @ sK0))))),
% 6.67/1.43 introduced(choice_axiom,[])).
% 6.67/1.43 thf(f993,plain,(
% 6.67/1.43 ? [X1] : ((sK0 != X1) & ((in @ X1 @ omega) = $true) & ((omegaS @ X1) = (omegaS @ sK0))) => ((sK0 != sK1) & ((in @ sK1 @ omega) = $true) & ((omegaS @ sK0) = (omegaS @ sK1)))),
% 6.67/1.43 introduced(choice_axiom,[])).
% 6.67/1.43 thf(f991,plain,(
% 6.67/1.43 (woz2Ex = $true) & (funcextLem = $true) & (singletoninpowerset = $true) & (binintersectSubset5 = $true) & (ex1I = $true) & (setextT = $true) & (demorgan2a2 = $true) & (complementT_lem = $true) & (eqimpsubset1 = $true) & (contrasubsetT1 = $true) & (vacuousDall = $true) & (powersetE1 = $true) & (binunionLsub = $true) & (breln1unionprop = $true) & (lam2p = $true) & (symdiffIneg2 = $true) & (emptysetsubset = $true) & (setminusELneg = $true) & (binintersectSubset2 = $true) & (subset2powerset = $true) & (omega0Ax = $true) & (emptysetAx = $true) & (subsetI1 = $true) & (woz1_1 = $true) & (setbeta = $true) & (breln1unionIL = $true) & (binintersectI = $true) & (surjFuncSetFuncIn = $true) & (binintersectER = $true) & (subsetE = $true) & ? [X0] : (((in @ X0 @ omega) = $true) & ? [X1] : ((X0 != X1) & ((in @ X1 @ omega) = $true) & ((omegaS @ X1) = (omegaS @ X0)))) & (breln1invE = $true) & (disjointsetsI1 = $true) & (inCongP = $true) & (powersetT_lem = $true) & (exuE3e = $true) & (woz1_4 = $true) & (exuEu = $true) & (upairsetE = $true) & (inIntersectImpInUnion = $true) & (setadjoinE = $true) & (funcGraphProp2 = $true) & (iftrue = $true) & (cartprodfstin = $true) & (setminusEL = $true) & (dsetconstrER = $true) & (setukpairIL = $true) & (cartprodsndpairEq = $true) & (powersetAx = $true) & (ifp = $true) & (injFuncSetFuncInj = $true) & (exuI2 = $true) & (setukpairinjL2 = $true) & (omegaSclos = $true) & (setminusSubset1 = $true) & (quantDeMorgan3 = $true) & (complementUnionInPowersetComplement = $true) & (setunionI = $true) & (exuI1 = $true) & (beta1 = $true) & (demorgan1b = $true) & (binunionT_lem = $true) & (setunionAx = $true) & (doubleComplementI1 = $true) & (notinsingleton = $true) & (ubforcartprodlem1 = $true) & (leftInvIsSurj = $true) & (uniqinunit = $true) & (inIntersectImpInUnion2 = $true) & (choice2fnsingleton = $true) & (doubleComplementEq = $true) & (dpsetconstrER = $true) & (setminusILneg = $true) & (surjFuncSetFuncSurj = $true) & (complementTI1 = $true) & (intersectInPowersetIntersectUnions = $true) & (prop2setE = $true) & (kfstsingleton = $true) & (binintersectRsub = $true) & (setunionsingleton2 = $true) & (setminusLsub = $true) & (exuE1 = $true) & (singletonsubset = $true) & (emptyset__Cong = $true) & (woz13rule1 = $true) & (subsetemptysetimpeq = $true) & (ubforcartprodlem2 = $true) & (brelnall2 = $true) & (secondinupair = $true) & (complementTnotintersectT = $true) & (emptysetimpfalse = $true) & (complementInPowersetComplementIntersect = $true) & (breln1all2 = $true) & (woz1_3 = $true) & (upairsetIL = $true) & (setextsub = $true) & (iftrueorfalse = $true) & (powerset__Cong = $true) & (symdiffIneg1 = $true) & (setunionE2 = $true) & (inComplementUnionImpInComplement1 = $true) & (setminusER = $true) & (dpsetconstrEL1 = $true) & (exuE2 = $true) & (demorgan1 = $true) & (inComplementUnionImpNotIn1 = $true) & (surjCantorThm = $true) & (dpsetconstrI = $true) & (powersetI1 = $true) & (breln1invprop = $true) & (doubleComplementE1 = $true) & (ksndsingleton = $true) & (powersetI = $true) & (replAx = $true) & (theeq = $true) & (contraSubsetComplement = $true) & (symdiffI2 = $true) & (funcGraphProp1 = $true) & (notsubsetI = $true) & (setOfPairsIsBReln = $true) & (setukpairinjR11 = $true) & (noeltsimpempty = $true) & (kpairsurjEq = $true) & (binintersectLsub = $true) & (setukpairinjR12 = $true) & (injFuncInInjFuncSet = $true) & (cartprodpairsurjEq = $true) & (descrp = $true) & (lam2lamEq = $true) & (funcinfuncset = $true) & (ex1E2 = $true) & (setukpairinjL = $true) & (lamp = $true) & (ap2apEq1 = $true) & (eqinunit = $true) & (breln1compprop = $true) & (inIntersectImpInIntersectUnions = $true) & (foundation2 = $true) & (singletonprop = $true) & (wellorderingAx = $true) & (setadjoin__Cong = $true) & (infuncsetfunc = $true) & (setunion__Cong = $true) & (emptyinunitempty = $true) & (binunionE = $true) & (upairset2IR = $true) & (woz13rule4 = $true) & (complementSubsetComplementIntersect = $true) & (emptyI = $true) & (setext = $true) & (powersetTI1 = $true) & (singletonsuniq = $true) & (binunionTIRcontra = $true) & (upairequniteq = $true) & (ap2apEq2 = $true) & (cartprodpairin = $true) & (ksndpairEq = $true) & (cartprodmempair = $true) & (setadjoinSub = $true) & (demorgan2b2 = $true) & (doubleComplementSub2 = $true) & (dpsetconstrERa = $true) & (setukpairinjR = $true) & (ex1I2 = $true) & (iftrueProp2 = $true) & (image1E = $true) & (notinself2 = $true) & (contrasubsetT = $true) & (setminusT_lem = $true) & (complementTE1 = $true) & (ap2p = $true) & (brelnall1 = $true) & (breln1compEex = $true) & (inPowerset = $true) & (emptysetE = $true) & (image1Ex = $true) & (breln1invI = $true) & (injFuncSetFuncIn = $true) & (setextAx = $true) & (woz1_5 = $true) & (nonemptyI1 = $true) & (contrasubsetT2 = $true) & (woz2B = $true) & (dsetconstrI = $true) & (eqbreln = $true) & (dpsetconstrEL2 = $true) & (binunionTEcontra = $true) & (setunionsingleton1 = $true) & (breln1compE = $true) & (dsetconstrEL = $true) & (omegaSp = $true) & (setminusERneg = $true) & (setadjoinIR = $true) & (binunionTILcontra = $true) & (setadjoinIL = $true) & (dpsetconstrSub = $true) & (complementTcontraSubset = $true) & (setukpairinjR2 = $true) & (funcext = $true) & (upairset2E = $true) & (foundationAx = $true) & (dsetconstr__Cong = $true) & (notequalI1 = $true) & (beta2 = $true) & (binunionIR = $true) & (funcext2 = $true) & (quantDeMorgan1 = $true) & (iftrueProp1 = $true) & (nonemptyImpWitness = $true) & (app = $true) & (upairsubunion = $true) & (cartprodsndin = $true) & (binintersectSubset3 = $true) & (sepSubset = $true) & (cartprodpairmemER = $true) & (upairsetIR = $true) & (quantDeMorgan2 = $true) & (emptyE1 = $true) & (binintersectEL = $true) & (binintersectSubset4 = $true) & (setadjoinSub2 = $true) & (eta2 = $true) & (kfstpairEq = $true) & (setadjoinAx = $true) & (powersetsubset = $true) & (ex1E1 = $true) & (breln1unionIR = $true) & (emptyInPowerset = $true) & (breln1unionE = $true) & (subPowSU = $true) & (binunionEcases = $true) & (binintersectSubset1 = $true) & (emptyinPowerset = $true) & (omegaSAx = $true) & (apProp = $true) & (complementImpComplementIntersect = $true) & (subsetTrans = $true) & (notinemptyset = $true) & (image1I = $true) & (omegaIndAx = $true) & (setminusSubset2 = $true) & (setukpairinjR1 = $true) & (breln1unionCommutes = $true) & (theprop = $true) & (exuI3 = $true) & (funcGraphProp4 = $true) & (powersetTE1 = $true) & (binintersectT_lem = $true) & (peano0notS = $true) & (binunionTE = $true) & (kpairp = $true) & (image1Equiv = $true) & (binunionIL = $true) & (subbreln = $true) & (lamProp = $true) & (contrasubsetT3 = $true) & (nonemptyI = $true) & (demorgan2b = $true) & (setminusIRneg = $true) & (singletonsswitch = $true) & (eta1 = $true) & (binunionRsub = $true) & (bs114d = $true) & (descr__Cong = $true) & (iffalse = $true) & (cartprodmempair1 = $true) & (woz1_2 = $true) & (iffalseProp2 = $true) & (subsetRefl = $true) & (iffalseProp1 = $true) & (prop2set2propI = $true) & (subsetTI = $true) & (nonemptyE1 = $true) & (eqimpsubset2 = $true) & (woz13rule0 = $true) & (in__Cong = $true) & (demorgan2 = $true) & (subsetE2 = $true) & (singletoninpowunion = $true) & (notdexE = $true) & (image1Ex1 = $true) & (upairinpowunion = $true) & (funcGraphProp3 = $true) & (sepInPowerset = $true) & (setukpairinjL1 = $true) & (demorgan1a = $true) & (binintersectTERcontra = $true) & (powersetE = $true) & (exuE3u = $true) & (notdallE = $true) & (ifSingleton = $true) & (eqbreln1 = $true) & (kpairiskpair = $true) & (setunionE = $true) & (setminusI = $true) & (breln1unionEcases = $true) & (omega__Cong = $true) & (breln1unionI = $true) & (funcImageSingleton = $true) & (doubleComplementSub1 = $true) & (symdiffE = $true) & (setOfPairsIsBReln1 = $true) & (ubforcartprodlem3 = $true) & (setadjoinOr = $true) & (woz13rule2 = $true) & (woz2A = $true) & (cartprodpairmemEL = $true) & (symdiffI1 = $true) & (breln1compI = $true) & (quantDeMorgan4 = $true) & (breln1all1 = $true) & (cartprodfstpairEq = $true) & (setukpairIR = $true) & (woz13rule3 = $true) & (demorgan2a = $true) & (subbreln1 = $true) & (notequalI2 = $true) & (exu__Cong = $true) & (setoftrueEq = $true) & (setunionsingleton = $true) & (binintersectTELcontra = $true) & (woz2W = $true) & (subsetI2 = $true) & (demorgan2a1 = $true) & (breln1SetBreln1 = $true) & (cartprodmempaircEq = $true) & (notinself = $true) & (prop2setI = $true)),
% 6.67/1.43 inference(flattening,[],[f990])).
% 6.67/1.43 thf(f990,plain,(
% 6.67/1.43 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0] : (? [X1] : (((X0 != X1) & ((omegaS @ X1) = (omegaS @ X0))) & ((in @ X1 @ omega) = $true)) & ((in @ X0 @ omega) = $true)) & (peano0notS = $true)) & (omegaSclos = $true)) & (omegaSp = $true)) & (notinself2 = $true)) & (notinself = $true)) & (foundation2 = $true)) & (surjCantorThm = $true)) & (leftInvIsSurj = $true)) & (surjFuncSetFuncSurj = $true)) & (surjFuncSetFuncIn = $true)) & (injFuncSetFuncInj = $true)) & (injFuncSetFuncIn = $true)) & (injFuncInInjFuncSet = $true)) & (image1I = $true)) & (image1E = $true)) & (image1Equiv = $true)) & (image1Ex1 = $true)) & (image1Ex = $true)) & (woz2B = $true)) & (woz2A = $true)) & (woz2W = $true)) & (woz2Ex = $true)) & (breln1unionCommutes = $true)) & (breln1unionEcases = $true)) & (breln1unionE = $true)) & (breln1unionI = $true)) & (breln1unionIR = $true)) & (breln1unionIL = $true)) & (breln1unionprop = $true)) & (breln1compEex = $true)) & (breln1compE = $true)) & (breln1compI = $true)) & (breln1compprop = $true)) & (breln1invE = $true)) & (breln1invI = $true)) & (breln1invprop = $true)) & (eqbreln1 = $true)) & (subbreln1 = $true)) & (breln1all1 = $true)) & (setOfPairsIsBReln1 = $true)) & (choice2fnsingleton = $true)) & (breln1SetBreln1 = $true)) & (breln1all2 = $true)) & (woz1_5 = $true)) & (woz1_4 = $true)) & (woz1_3 = $true)) & (woz1_2 = $true)) & (woz1_1 = $true)) & (woz13rule4 = $true)) & (woz13rule3 = $true)) & (woz13rule2 = $true)) & (woz13rule1 = $true)) & (woz13rule0 = $true)) & (demorgan2 = $true)) & (demorgan2b = $true)) & (demorgan2b2 = $true)) & (demorgan2a = $true)) & (demorgan1 = $true)) & (demorgan1b = $true)) & (demorgan1a = $true)) & (demorgan2a2 = $true)) & (complementUnionInPowersetComplement = $true)) & (demorgan2a1 = $true)) & (binunionTEcontra = $true)) & (binunionTE = $true)) & (inComplementUnionImpInComplement1 = $true)) & (inComplementUnionImpNotIn1 = $true)) & (intersectInPowersetIntersectUnions = $true)) & (inIntersectImpInIntersectUnions = $true)) & (inIntersectImpInUnion2 = $true)) & (inIntersectImpInUnion = $true)) & (binunionTIRcontra = $true)) & (binunionTILcontra = $true)) & (complementTcontraSubset = $true)) & (contraSubsetComplement = $true)) & (complementInPowersetComplementIntersect = $true)) & (complementSubsetComplementIntersect = $true)) & (complementImpComplementIntersect = $true)) & (complementTnotintersectT = $true)) & (doubleComplementEq = $true)) & (doubleComplementSub2 = $true)) & (doubleComplementSub1 = $true)) & (doubleComplementE1 = $true)) & (doubleComplementI1 = $true)) & (contrasubsetT3 = $true)) & (contrasubsetT2 = $true)) & (contrasubsetT1 = $true)) & (contrasubsetT = $true)) & (binintersectTERcontra = $true)) & (binintersectTELcontra = $true)) & (complementTE1 = $true)) & (complementTI1 = $true)) & (powersetTE1 = $true)) & (powersetTI1 = $true)) & (subsetTI = $true)) & (setextT = $true)) & (complementT_lem = $true)) & (setminusT_lem = $true)) & (powersetT_lem = $true)) & (binunionT_lem = $true)) & (binintersectT_lem = $true)) & (iftrueorfalse = $true)) & (iffalse = $true)) & (iftrue = $true)) & (theeq = $true)) & (ifp = $true)) & (ifSingleton = $true)) & (iftrueProp2 = $true)) & (iftrueProp1 = $true)) & (iffalseProp2 = $true)) & (iffalseProp1 = $true)) & (eta2 = $true)) & (beta2 = $true)) & (lam2lamEq = $true)) & (eta1 = $true)) & (beta1 = $true)) & (ap2apEq2 = $true)) & (ap2apEq1 = $true)) & (funcext2 = $true)) & (funcext = $true)) & (eqbreln = $true)) & (subbreln = $true)) & (funcGraphProp4 = $true)) & (funcextLem = $true)) & (funcGraphProp2 = $true)) & (funcGraphProp3 = $true)) & (funcGraphProp1 = $true)) & (ex1E2 = $true)) & (brelnall2 = $true)) & (brelnall1 = $true)) & (lam2p = $true)) & (lamp = $true)) & (lamProp = $true)) & (funcinfuncset = $true)) & (ap2p = $true)) & (infuncsetfunc = $true)) & (app = $true)) & (apProp = $true)) & (funcImageSingleton = $true)) & (dpsetconstrER = $true)) & (dpsetconstrEL2 = $true)) & (dpsetconstrEL1 = $true)) & (dpsetconstrERa = $true)) & (setOfPairsIsBReln = $true)) & (dpsetconstrSub = $true)) & (dpsetconstrI = $true)) & (cartprodpairsurjEq = $true)) & (cartprodsndpairEq = $true)) & (cartprodfstpairEq = $true)) & (cartprodmempaircEq = $true)) & (cartprodpairmemER = $true)) & (cartprodpairmemEL = $true)) & (cartprodsndin = $true)) & (kpairsurjEq = $true)) & (ksndpairEq = $true)) & (ksndsingleton = $true)) & (setukpairinjR = $true)) & (setukpairinjR2 = $true)) & (upairequniteq = $true)) & (setukpairinjR1 = $true)) & (setukpairinjR12 = $true)) & (setukpairinjR11 = $true)) & (setukpairinjL = $true)) & (setukpairinjL2 = $true)) & (cartprodfstin = $true)) & (kfstpairEq = $true)) & (theprop = $true)) & (kfstsingleton = $true)) & (setukpairinjL1 = $true)) & (singletonsuniq = $true)) & (ex1I2 = $true)) & (ex1I = $true)) & (ex1E1 = $true)) & (singletonprop = $true)) & (setunionsingleton = $true)) & (setunionsingleton2 = $true)) & (setunionsingleton1 = $true)) & (setunionE2 = $true)) & (cartprodmempair = $true)) & (cartprodmempair1 = $true)) & (cartprodpairin = $true)) & (ubforcartprodlem3 = $true)) & (ubforcartprodlem2 = $true)) & (ubforcartprodlem1 = $true)) & (upairinpowunion = $true)) & (upairsubunion = $true)) & (upairset2E = $true)) & (singletoninpowunion = $true)) & (singletoninpowerset = $true)) & (singletonsubset = $true)) & (kpairp = $true)) & (kpairiskpair = $true)) & (setukpairIR = $true)) & (setukpairIL = $true)) & (secondinupair = $true)) & (symdiffIneg2 = $true)) & (symdiffIneg1 = $true)) & (symdiffI2 = $true)) & (symdiffI1 = $true)) & (symdiffE = $true)) & (setminusSubset1 = $true)) & (setminusLsub = $true)) & (setminusIRneg = $true)) & (setminusILneg = $true)) & (setminusELneg = $true)) & (setminusERneg = $true)) & (setminusSubset2 = $true)) & (setminusER = $true)) & (setminusEL = $true)) & (setminusI = $true)) & (bs114d = $true)) & (binintersectSubset1 = $true)) & (binintersectSubset4 = $true)) & (binintersectRsub = $true)) & (disjointsetsI1 = $true)) & (binintersectER = $true)) & (binintersectSubset3 = $true)) & (binintersectSubset2 = $true)) & (binintersectLsub = $true)) & (binintersectEL = $true)) & (binintersectSubset5 = $true)) & (binintersectI = $true)) & (binunionRsub = $true)) & (binunionLsub = $true)) & (binunionE = $true)) & (binunionEcases = $true)) & (binunionIR = $true)) & (upairset2IR = $true)) & (binunionIL = $true)) & (sepSubset = $true)) & (sepInPowerset = $true)) & (powersetsubset = $true)) & (inPowerset = $true)) & (powersetE1 = $true)) & (powersetI1 = $true)) & (subsetemptysetimpeq = $true)) & (setextsub = $true)) & (subset2powerset = $true)) & (setadjoinSub2 = $true)) & (setadjoinSub = $true)) & (subsetTrans = $true)) & (subsetRefl = $true)) & (notequalI2 = $true)) & (notequalI1 = $true)) & (notsubsetI = $true)) & (subsetE2 = $true)) & (subsetE = $true)) & (emptysetsubset = $true)) & (subsetI2 = $true)) & (eqimpsubset1 = $true)) & (eqimpsubset2 = $true)) & (subsetI1 = $true)) & (dsetconstr__Cong = $true)) & (descr__Cong = $true)) & (exuEu = $true)) & (omega__Cong = $true)) & (setunion__Cong = $true)) & (powerset__Cong = $true)) & (setadjoin__Cong = $true)) & (emptyset__Cong = $true)) & (exu__Cong = $true)) & (exuE3u = $true)) & (in__Cong = $true)) & (inCongP = $true)) & (exuI2 = $true)) & (exuI3 = $true)) & (exuI1 = $true)) & (notdallE = $true)) & (notdexE = $true)) & (prop2set2propI = $true)) & (prop2setI = $true)) & (quantDeMorgan4 = $true)) & (quantDeMorgan3 = $true)) & (quantDeMorgan2 = $true)) & (quantDeMorgan1 = $true)) & (vacuousDall = $true)) & (emptyE1 = $true)) & (upairsetIR = $true)) & (upairsetIL = $true)) & (upairsetE = $true)) & (singletonsswitch = $true)) & (eqinunit = $true)) & (notinsingleton = $true)) & (uniqinunit = $true)) & (nonemptyImpWitness = $true)) & (exuE2 = $true)) & (subPowSU = $true)) & (setunionE = $true)) & (setunionI = $true)) & (powersetE = $true)) & (emptyInPowerset = $true)) & (emptyinPowerset = $true)) & (powersetI = $true)) & (setoftrueEq = $true)) & (setadjoinOr = $true)) & (setadjoinE = $true)) & (setadjoinIR = $true)) & (emptyinunitempty = $true)) & (setadjoinIL = $true)) & (nonemptyI1 = $true)) & (nonemptyI = $true)) & (nonemptyE1 = $true)) & (setbeta = $true)) & (noeltsimpempty = $true)) & (emptyI = $true)) & (setext = $true)) & (exuE3e = $true)) & (notinemptyset = $true)) & (emptysetimpfalse = $true)) & (emptysetE = $true)) & (prop2setE = $true)) & (exuE1 = $true)) & (dsetconstrER = $true)) & (dsetconstrEL = $true)) & (dsetconstrI = $true)) & (descrp = $true)) & (wellorderingAx = $true)) & (foundationAx = $true)) & (replAx = $true)) & (omegaIndAx = $true)) & (omegaSAx = $true)) & (omega0Ax = $true)) & (setunionAx = $true)) & (powersetAx = $true)) & (setadjoinAx = $true)) & (emptysetAx = $true)) & (setextAx = $true)),
% 6.67/1.43 inference(ennf_transformation,[],[f599])).
% 6.67/1.43 thf(f599,plain,(
% 6.67/1.43 ~((setextAx = $true) => ((emptysetAx = $true) => ((setadjoinAx = $true) => ((powersetAx = $true) => ((setunionAx = $true) => ((omega0Ax = $true) => ((omegaSAx = $true) => ((omegaIndAx = $true) => ((replAx = $true) => ((foundationAx = $true) => ((wellorderingAx = $true) => ((descrp = $true) => ((dsetconstrI = $true) => ((dsetconstrEL = $true) => ((dsetconstrER = $true) => ((exuE1 = $true) => ((prop2setE = $true) => ((emptysetE = $true) => ((emptysetimpfalse = $true) => ((notinemptyset = $true) => ((exuE3e = $true) => ((setext = $true) => ((emptyI = $true) => ((noeltsimpempty = $true) => ((setbeta = $true) => ((nonemptyE1 = $true) => ((nonemptyI = $true) => ((nonemptyI1 = $true) => ((setadjoinIL = $true) => ((emptyinunitempty = $true) => ((setadjoinIR = $true) => ((setadjoinE = $true) => ((setadjoinOr = $true) => ((setoftrueEq = $true) => ((powersetI = $true) => ((emptyinPowerset = $true) => ((emptyInPowerset = $true) => ((powersetE = $true) => ((setunionI = $true) => ((setunionE = $true) => ((subPowSU = $true) => ((exuE2 = $true) => ((nonemptyImpWitness = $true) => ((uniqinunit = $true) => ((notinsingleton = $true) => ((eqinunit = $true) => ((singletonsswitch = $true) => ((upairsetE = $true) => ((upairsetIL = $true) => ((upairsetIR = $true) => ((emptyE1 = $true) => ((vacuousDall = $true) => ((quantDeMorgan1 = $true) => ((quantDeMorgan2 = $true) => ((quantDeMorgan3 = $true) => ((quantDeMorgan4 = $true) => ((prop2setI = $true) => ((prop2set2propI = $true) => ((notdexE = $true) => ((notdallE = $true) => ((exuI1 = $true) => ((exuI3 = $true) => ((exuI2 = $true) => ((inCongP = $true) => ((in__Cong = $true) => ((exuE3u = $true) => ((exu__Cong = $true) => ((emptyset__Cong = $true) => ((setadjoin__Cong = $true) => ((powerset__Cong = $true) => ((setunion__Cong = $true) => ((omega__Cong = $true) => ((exuEu = $true) => ((descr__Cong = $true) => ((dsetconstr__Cong = $true) => ((subsetI1 = $true) => ((eqimpsubset2 = $true) => ((eqimpsubset1 = $true) => ((subsetI2 = $true) => ((emptysetsubset = $true) => ((subsetE = $true) => ((subsetE2 = $true) => ((notsubsetI = $true) => ((notequalI1 = $true) => ((notequalI2 = $true) => ((subsetRefl = $true) => ((subsetTrans = $true) => ((setadjoinSub = $true) => ((setadjoinSub2 = $true) => ((subset2powerset = $true) => ((setextsub = $true) => ((subsetemptysetimpeq = $true) => ((powersetI1 = $true) => ((powersetE1 = $true) => ((inPowerset = $true) => ((powersetsubset = $true) => ((sepInPowerset = $true) => ((sepSubset = $true) => ((binunionIL = $true) => ((upairset2IR = $true) => ((binunionIR = $true) => ((binunionEcases = $true) => ((binunionE = $true) => ((binunionLsub = $true) => ((binunionRsub = $true) => ((binintersectI = $true) => ((binintersectSubset5 = $true) => ((binintersectEL = $true) => ((binintersectLsub = $true) => ((binintersectSubset2 = $true) => ((binintersectSubset3 = $true) => ((binintersectER = $true) => ((disjointsetsI1 = $true) => ((binintersectRsub = $true) => ((binintersectSubset4 = $true) => ((binintersectSubset1 = $true) => ((bs114d = $true) => ((setminusI = $true) => ((setminusEL = $true) => ((setminusER = $true) => ((setminusSubset2 = $true) => ((setminusERneg = $true) => ((setminusELneg = $true) => ((setminusILneg = $true) => ((setminusIRneg = $true) => ((setminusLsub = $true) => ((setminusSubset1 = $true) => ((symdiffE = $true) => ((symdiffI1 = $true) => ((symdiffI2 = $true) => ((symdiffIneg1 = $true) => ((symdiffIneg2 = $true) => ((secondinupair = $true) => ((setukpairIL = $true) => ((setukpairIR = $true) => ((kpairiskpair = $true) => ((kpairp = $true) => ((singletonsubset = $true) => ((singletoninpowerset = $true) => ((singletoninpowunion = $true) => ((upairset2E = $true) => ((upairsubunion = $true) => ((upairinpowunion = $true) => ((ubforcartprodlem1 = $true) => ((ubforcartprodlem2 = $true) => ((ubforcartprodlem3 = $true) => ((cartprodpairin = $true) => ((cartprodmempair1 = $true) => ((cartprodmempair = $true) => ((setunionE2 = $true) => ((setunionsingleton1 = $true) => ((setunionsingleton2 = $true) => ((setunionsingleton = $true) => ((singletonprop = $true) => ((ex1E1 = $true) => ((ex1I = $true) => ((ex1I2 = $true) => ((singletonsuniq = $true) => ((setukpairinjL1 = $true) => ((kfstsingleton = $true) => ((theprop = $true) => ((kfstpairEq = $true) => ((cartprodfstin = $true) => ((setukpairinjL2 = $true) => ((setukpairinjL = $true) => ((setukpairinjR11 = $true) => ((setukpairinjR12 = $true) => ((setukpairinjR1 = $true) => ((upairequniteq = $true) => ((setukpairinjR2 = $true) => ((setukpairinjR = $true) => ((ksndsingleton = $true) => ((ksndpairEq = $true) => ((kpairsurjEq = $true) => ((cartprodsndin = $true) => ((cartprodpairmemEL = $true) => ((cartprodpairmemER = $true) => ((cartprodmempaircEq = $true) => ((cartprodfstpairEq = $true) => ((cartprodsndpairEq = $true) => ((cartprodpairsurjEq = $true) => ((dpsetconstrI = $true) => ((dpsetconstrSub = $true) => ((setOfPairsIsBReln = $true) => ((dpsetconstrERa = $true) => ((dpsetconstrEL1 = $true) => ((dpsetconstrEL2 = $true) => ((dpsetconstrER = $true) => ((funcImageSingleton = $true) => ((apProp = $true) => ((app = $true) => ((infuncsetfunc = $true) => ((ap2p = $true) => ((funcinfuncset = $true) => ((lamProp = $true) => ((lamp = $true) => ((lam2p = $true) => ((brelnall1 = $true) => ((brelnall2 = $true) => ((ex1E2 = $true) => ((funcGraphProp1 = $true) => ((funcGraphProp3 = $true) => ((funcGraphProp2 = $true) => ((funcextLem = $true) => ((funcGraphProp4 = $true) => ((subbreln = $true) => ((eqbreln = $true) => ((funcext = $true) => ((funcext2 = $true) => ((ap2apEq1 = $true) => ((ap2apEq2 = $true) => ((beta1 = $true) => ((eta1 = $true) => ((lam2lamEq = $true) => ((beta2 = $true) => ((eta2 = $true) => ((iffalseProp1 = $true) => ((iffalseProp2 = $true) => ((iftrueProp1 = $true) => ((iftrueProp2 = $true) => ((ifSingleton = $true) => ((ifp = $true) => ((theeq = $true) => ((iftrue = $true) => ((iffalse = $true) => ((iftrueorfalse = $true) => ((binintersectT_lem = $true) => ((binunionT_lem = $true) => ((powersetT_lem = $true) => ((setminusT_lem = $true) => ((complementT_lem = $true) => ((setextT = $true) => ((subsetTI = $true) => ((powersetTI1 = $true) => ((powersetTE1 = $true) => ((complementTI1 = $true) => ((complementTE1 = $true) => ((binintersectTELcontra = $true) => ((binintersectTERcontra = $true) => ((contrasubsetT = $true) => ((contrasubsetT1 = $true) => ((contrasubsetT2 = $true) => ((contrasubsetT3 = $true) => ((doubleComplementI1 = $true) => ((doubleComplementE1 = $true) => ((doubleComplementSub1 = $true) => ((doubleComplementSub2 = $true) => ((doubleComplementEq = $true) => ((complementTnotintersectT = $true) => ((complementImpComplementIntersect = $true) => ((complementSubsetComplementIntersect = $true) => ((complementInPowersetComplementIntersect = $true) => ((contraSubsetComplement = $true) => ((complementTcontraSubset = $true) => ((binunionTILcontra = $true) => ((binunionTIRcontra = $true) => ((inIntersectImpInUnion = $true) => ((inIntersectImpInUnion2 = $true) => ((inIntersectImpInIntersectUnions = $true) => ((intersectInPowersetIntersectUnions = $true) => ((inComplementUnionImpNotIn1 = $true) => ((inComplementUnionImpInComplement1 = $true) => ((binunionTE = $true) => ((binunionTEcontra = $true) => ((demorgan2a1 = $true) => ((complementUnionInPowersetComplement = $true) => ((demorgan2a2 = $true) => ((demorgan1a = $true) => ((demorgan1b = $true) => ((demorgan1 = $true) => ((demorgan2a = $true) => ((demorgan2b2 = $true) => ((demorgan2b = $true) => ((demorgan2 = $true) => ((woz13rule0 = $true) => ((woz13rule1 = $true) => ((woz13rule2 = $true) => ((woz13rule3 = $true) => ((woz13rule4 = $true) => ((woz1_1 = $true) => ((woz1_2 = $true) => ((woz1_3 = $true) => ((woz1_4 = $true) => ((woz1_5 = $true) => ((breln1all2 = $true) => ((breln1SetBreln1 = $true) => ((choice2fnsingleton = $true) => ((setOfPairsIsBReln1 = $true) => ((breln1all1 = $true) => ((subbreln1 = $true) => ((eqbreln1 = $true) => ((breln1invprop = $true) => ((breln1invI = $true) => ((breln1invE = $true) => ((breln1compprop = $true) => ((breln1compI = $true) => ((breln1compE = $true) => ((breln1compEex = $true) => ((breln1unionprop = $true) => ((breln1unionIL = $true) => ((breln1unionIR = $true) => ((breln1unionI = $true) => ((breln1unionE = $true) => ((breln1unionEcases = $true) => ((breln1unionCommutes = $true) => ((woz2Ex = $true) => ((woz2W = $true) => ((woz2A = $true) => ((woz2B = $true) => ((image1Ex = $true) => ((image1Ex1 = $true) => ((image1Equiv = $true) => ((image1E = $true) => ((image1I = $true) => ((injFuncInInjFuncSet = $true) => ((injFuncSetFuncIn = $true) => ((injFuncSetFuncInj = $true) => ((surjFuncSetFuncIn = $true) => ((surjFuncSetFuncSurj = $true) => ((leftInvIsSurj = $true) => ((surjCantorThm = $true) => ((foundation2 = $true) => ((notinself = $true) => ((notinself2 = $true) => ((omegaSp = $true) => ((omegaSclos = $true) => ((peano0notS = $true) => ! [X0] : (((in @ X0 @ omega) = $true) => ! [X1] : (((in @ X1 @ omega) = $true) => (((omegaS @ X1) = (omegaS @ X0)) => (X0 = X1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 6.67/1.43 inference(fool_elimination,[],[f598])).
% 6.67/1.43 thf(f598,plain,(
% 6.67/1.43 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (woz1_2 => (woz1_3 => (woz1_4 => (woz1_5 => (breln1all2 => (breln1SetBreln1 => (choice2fnsingleton => (setOfPairsIsBReln1 => (breln1all1 => (subbreln1 => (eqbreln1 => (breln1invprop => (breln1invI => (breln1invE => (breln1compprop => (breln1compI => (breln1compE => (breln1compEex => (breln1unionprop => (breln1unionIL => (breln1unionIR => (breln1unionI => (breln1unionE => (breln1unionEcases => (breln1unionCommutes => (woz2Ex => (woz2W => (woz2A => (woz2B => (image1Ex => (image1Ex1 => (image1Equiv => (image1E => (image1I => (injFuncInInjFuncSet => (injFuncSetFuncIn => (injFuncSetFuncInj => (surjFuncSetFuncIn => (surjFuncSetFuncSurj => (leftInvIsSurj => (surjCantorThm => (foundation2 => (notinself => (notinself2 => (omegaSp => (omegaSclos => (peano0notS => ! [X0] : ((in @ X0 @ omega) => ! [X1] : ((in @ X1 @ omega) => (((omegaS @ X1) = (omegaS @ X0)) => (X0 = X1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 6.67/1.43 inference(rectify,[],[f332])).
% 6.67/1.43 thf(f332,negated_conjecture,(
% 6.67/1.43 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (woz1_2 => (woz1_3 => (woz1_4 => (woz1_5 => (breln1all2 => (breln1SetBreln1 => (choice2fnsingleton => (setOfPairsIsBReln1 => (breln1all1 => (subbreln1 => (eqbreln1 => (breln1invprop => (breln1invI => (breln1invE => (breln1compprop => (breln1compI => (breln1compE => (breln1compEex => (breln1unionprop => (breln1unionIL => (breln1unionIR => (breln1unionI => (breln1unionE => (breln1unionEcases => (breln1unionCommutes => (woz2Ex => (woz2W => (woz2A => (woz2B => (image1Ex => (image1Ex1 => (image1Equiv => (image1E => (image1I => (injFuncInInjFuncSet => (injFuncSetFuncIn => (injFuncSetFuncInj => (surjFuncSetFuncIn => (surjFuncSetFuncSurj => (leftInvIsSurj => (surjCantorThm => (foundation2 => (notinself => (notinself2 => (omegaSp => (omegaSclos => (peano0notS => ! [X1] : ((in @ X1 @ omega) => ! [X2] : ((in @ X2 @ omega) => (((omegaS @ X1) = (omegaS @ X2)) => (X1 = X2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 6.67/1.43 inference(negated_conjecture,[],[f331])).
% 6.67/1.43 thf(f331,conjecture,(
% 6.67/1.43 setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (woz1_2 => (woz1_3 => (woz1_4 => (woz1_5 => (breln1all2 => (breln1SetBreln1 => (choice2fnsingleton => (setOfPairsIsBReln1 => (breln1all1 => (subbreln1 => (eqbreln1 => (breln1invprop => (breln1invI => (breln1invE => (breln1compprop => (breln1compI => (breln1compE => (breln1compEex => (breln1unionprop => (breln1unionIL => (breln1unionIR => (breln1unionI => (breln1unionE => (breln1unionEcases => (breln1unionCommutes => (woz2Ex => (woz2W => (woz2A => (woz2B => (image1Ex => (image1Ex1 => (image1Equiv => (image1E => (image1I => (injFuncInInjFuncSet => (injFuncSetFuncIn => (injFuncSetFuncInj => (surjFuncSetFuncIn => (surjFuncSetFuncSurj => (leftInvIsSurj => (surjCantorThm => (foundation2 => (notinself => (notinself2 => (omegaSp => (omegaSclos => (peano0notS => ! [X1] : ((in @ X1 @ omega) => ! [X2] : ((in @ X2 @ omega) => (((omegaS @ X1) = (omegaS @ X2)) => (X1 = X2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 6.67/1.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',peanoSinj)).
% 6.67/1.43 thf(f1570,plain,(
% 6.67/1.43 (setadjoinOr = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (setadjoin @ Y0 @ Y1)) => ((Y2 = Y0) | (in @ Y2 @ Y1))))))))))),
% 6.67/1.43 inference(cnf_transformation,[],[f402])).
% 6.67/1.43 thf(f402,plain,(
% 6.67/1.43 (setadjoinOr = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (setadjoin @ Y0 @ Y1)) => ((Y2 = Y0) | (in @ Y2 @ Y1))))))))))),
% 6.67/1.43 inference(fool_elimination,[],[f401])).
% 6.67/1.43 thf(f401,plain,(
% 6.67/1.43 (setadjoinOr = ! [X0,X1,X2] : ((in @ X0 @ (setadjoin @ X2 @ X1)) => ((in @ X0 @ X1) | (X0 = X2))))),
% 6.67/1.43 inference(rectify,[],[f35])).
% 6.67/1.43 thf(f35,axiom,(
% 6.67/1.43 (setadjoinOr = ! [X2,X3,X1] : ((in @ X2 @ (setadjoin @ X1 @ X3)) => ((in @ X2 @ X3) | (X1 = X2))))),
% 6.67/1.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setadjoinOr)).
% 6.67/1.43 thf(f4174,plain,(
% 6.67/1.43 ( ! [X2 : $i,X1 : $i] : (((in @ X1 @ (setadjoin @ X1 @ X2)) = $true)) )),
% 6.67/1.43 inference(beta_eta_normalization,[],[f4173])).
% 6.67/1.43 thf(f4173,plain,(
% 6.67/1.43 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: (in @ X1 @ (setadjoin @ X1 @ Y0))) @ X2) = $true)) )),
% 6.67/1.43 inference(pi_clausification,[],[f4172])).
% 6.67/1.43 thf(f4172,plain,(
% 6.67/1.43 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (in @ X1 @ (setadjoin @ X1 @ Y0)))) = $true)) )),
% 6.67/1.43 inference(beta_eta_normalization,[],[f4171])).
% 6.67/1.43 thf(f4171,plain,(
% 6.67/1.43 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (in @ Y0 @ (setadjoin @ Y0 @ Y1))))) @ X1) = $true)) )),
% 6.67/1.43 inference(pi_clausification,[],[f1790])).
% 6.67/1.43 thf(f1790,plain,(
% 6.67/1.43 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (in @ Y0 @ (setadjoin @ Y0 @ Y1)))))) = $true)),
% 6.67/1.43 inference(definition_unfolding,[],[f1339,f1168])).
% 6.67/1.43 thf(f1168,plain,(
% 6.67/1.43 (setadjoinIL = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (in @ Y0 @ (setadjoin @ Y0 @ Y1)))))))),
% 6.67/1.43 inference(cnf_transformation,[],[f681])).
% 6.67/1.43 thf(f681,plain,(
% 6.67/1.43 (setadjoinIL = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (in @ Y0 @ (setadjoin @ Y0 @ Y1)))))))),
% 6.67/1.43 inference(fool_elimination,[],[f680])).
% 6.67/1.43 thf(f680,plain,(
% 6.67/1.43 (setadjoinIL = ! [X0,X1] : (in @ X1 @ (setadjoin @ X1 @ X0)))),
% 6.67/1.43 inference(rectify,[],[f31])).
% 6.67/1.43 thf(f31,axiom,(
% 6.67/1.43 (setadjoinIL = ! [X2,X1] : (in @ X1 @ (setadjoin @ X1 @ X2)))),
% 6.67/1.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setadjoinIL)).
% 6.67/1.43 thf(f1339,plain,(
% 6.67/1.43 (setadjoinIL = $true)),
% 6.67/1.43 inference(cnf_transformation,[],[f994])).
% 6.67/1.43 thf(f8077,plain,(
% 6.67/1.43 spl2_31 | ~spl2_30),
% 6.67/1.43 inference(avatar_split_clause,[],[f8019,f7680,f8073])).
% 6.67/1.43 thf(f8073,plain,(
% 6.67/1.43 spl2_31 <=> ($false = (in @ sK0 @ sK1))),
% 6.67/1.43 introduced(avatar_definition,[new_symbols(naming,[spl2_31])])).
% 6.67/1.43 thf(f7680,plain,(
% 6.67/1.43 spl2_30 <=> ((in @ sK1 @ sK0) = $true)),
% 6.67/1.43 introduced(avatar_definition,[new_symbols(naming,[spl2_30])])).
% 6.67/1.43 thf(f8019,plain,(
% 6.67/1.43 ($false = (in @ sK0 @ sK1)) | ~spl2_30),
% 6.67/1.43 inference(trivial_inequality_removal,[],[f8009])).
% 6.67/1.43 thf(f8009,plain,(
% 6.67/1.43 ($false = (in @ sK0 @ sK1)) | ($false = $true) | ~spl2_30),
% 6.67/1.43 inference(superposition,[],[f2559,f7682])).
% 6.67/1.43 thf(f7682,plain,(
% 6.67/1.43 ((in @ sK1 @ sK0) = $true) | ~spl2_30),
% 6.67/1.43 inference(avatar_component_clause,[],[f7680])).
% 6.67/1.43 thf(f2559,plain,(
% 6.67/1.43 ( ! [X2 : $i,X1 : $i] : (($false = (in @ X2 @ X1)) | ($false = (in @ X1 @ X2))) )),
% 6.67/1.43 inference(not_proxy_clausification,[],[f2558])).
% 6.67/1.43 thf(f2558,plain,(
% 6.67/1.43 ( ! [X2 : $i,X1 : $i] : (((~ (in @ X2 @ X1)) = $true) | ($false = (in @ X1 @ X2))) )),
% 6.67/1.43 inference(binary_proxy_clausification,[],[f2557])).
% 6.67/1.43 thf(f2557,plain,(
% 6.67/1.43 ( ! [X2 : $i,X1 : $i] : ((((in @ X1 @ X2) => (~ (in @ X2 @ X1))) = $true)) )),
% 6.67/1.43 inference(beta_eta_normalization,[],[f2556])).
% 6.67/1.43 thf(f2556,plain,(
% 6.67/1.43 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((in @ X1 @ Y0) => (~ (in @ Y0 @ X1)))) @ X2) = $true)) )),
% 6.67/1.43 inference(pi_clausification,[],[f2555])).
% 6.67/1.43 thf(f2555,plain,(
% 6.67/1.43 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((in @ X1 @ Y0) => (~ (in @ Y0 @ X1))))) = $true)) )),
% 6.67/1.43 inference(beta_eta_normalization,[],[f2554])).
% 6.67/1.43 thf(f2554,plain,(
% 6.67/1.43 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ Y1) => (~ (in @ Y1 @ Y0)))))) @ X1) = $true)) )),
% 6.67/1.43 inference(pi_clausification,[],[f1774])).
% 6.67/1.43 thf(f1774,plain,(
% 6.67/1.43 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ Y1) => (~ (in @ Y1 @ Y0))))))) = $true)),
% 6.67/1.43 inference(definition_unfolding,[],[f1367,f1080])).
% 6.67/1.43 thf(f1080,plain,(
% 6.67/1.43 (notinself2 = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ Y1) => (~ (in @ Y1 @ Y0))))))))),
% 6.67/1.43 inference(cnf_transformation,[],[f889])).
% 6.67/1.43 thf(f889,plain,(
% 6.67/1.43 (notinself2 = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ Y1) => (~ (in @ Y1 @ Y0))))))))),
% 6.67/1.43 inference(fool_elimination,[],[f888])).
% 6.67/1.43 thf(f888,plain,(
% 6.67/1.43 (! [X0,X1] : ((in @ X1 @ X0) => ~(in @ X0 @ X1)) = notinself2)),
% 6.67/1.43 inference(rectify,[],[f326])).
% 6.67/1.43 thf(f326,axiom,(
% 6.67/1.43 (! [X4,X3] : ((in @ X3 @ X4) => ~(in @ X4 @ X3)) = notinself2)),
% 6.67/1.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',notinself2)).
% 6.67/1.43 thf(f1367,plain,(
% 6.67/1.43 (notinself2 = $true)),
% 6.67/1.43 inference(cnf_transformation,[],[f994])).
% 6.67/1.43 thf(f7728,plain,(
% 6.67/1.43 spl2_30 | spl2_1 | ~spl2_8),
% 6.67/1.43 inference(avatar_split_clause,[],[f7678,f5698,f5529,f7680])).
% 6.67/1.43 thf(f5698,plain,(
% 6.67/1.43 spl2_8 <=> ((in @ sK1 @ (setadjoin @ sK0 @ sK0)) = $true)),
% 6.67/1.43 introduced(avatar_definition,[new_symbols(naming,[spl2_8])])).
% 6.67/1.43 thf(f7678,plain,(
% 6.67/1.43 ((in @ sK1 @ sK0) = $true) | (spl2_1 | ~spl2_8)),
% 6.67/1.43 inference(subsumption_resolution,[],[f7665,f5531])).
% 6.67/1.43 thf(f7665,plain,(
% 6.67/1.43 (sK0 = sK1) | ((in @ sK1 @ sK0) = $true) | ~spl2_8),
% 6.67/1.43 inference(trivial_inequality_removal,[],[f7646])).
% 6.67/1.43 thf(f7646,plain,(
% 6.67/1.43 ((in @ sK1 @ sK0) = $true) | ($false = $true) | (sK0 = sK1) | ~spl2_8),
% 6.67/1.43 inference(superposition,[],[f5700,f4128])).
% 6.67/1.43 thf(f5700,plain,(
% 6.67/1.43 ((in @ sK1 @ (setadjoin @ sK0 @ sK0)) = $true) | ~spl2_8),
% 6.67/1.43 inference(avatar_component_clause,[],[f5698])).
% 6.67/1.43 thf(f5701,plain,(
% 6.67/1.43 spl2_8 | ~spl2_7),
% 6.67/1.43 inference(avatar_split_clause,[],[f5682,f5678,f5698])).
% 6.67/1.43 thf(f5682,plain,(
% 6.67/1.43 ((in @ sK1 @ (setadjoin @ sK0 @ sK0)) = $true) | ~spl2_7),
% 6.67/1.43 inference(superposition,[],[f4174,f5680])).
% 6.67/1.43 thf(f5681,plain,(
% 6.67/1.43 spl2_7),
% 6.67/1.43 inference(avatar_split_clause,[],[f5498,f5678])).
% 6.67/1.43 thf(f5498,plain,(
% 6.67/1.43 ((setadjoin @ sK0 @ sK0) = (setadjoin @ sK1 @ sK1))),
% 6.67/1.43 inference(beta_eta_normalization,[],[f1686])).
% 6.67/1.43 thf(f1686,plain,(
% 6.67/1.43 (((^[Y0 : $i]: (setadjoin @ Y0 @ Y0)) @ sK0) = ((^[Y0 : $i]: (setadjoin @ Y0 @ Y0)) @ sK1))),
% 6.67/1.43 inference(definition_unfolding,[],[f1503,f1115,f1115])).
% 6.67/1.43 thf(f1115,plain,(
% 6.67/1.43 (omegaS = (^[Y0 : $i]: (setadjoin @ Y0 @ Y0)))),
% 6.67/1.43 inference(cnf_transformation,[],[f621])).
% 6.67/1.43 thf(f621,plain,(
% 6.67/1.43 (omegaS = (^[Y0 : $i]: (setadjoin @ Y0 @ Y0)))),
% 6.67/1.43 inference(fool_elimination,[],[f620])).
% 6.67/1.43 thf(f620,plain,(
% 6.67/1.43 (omegaS = (^[X0 : $i] : (setadjoin @ X0 @ X0)))),
% 6.67/1.43 inference(rectify,[],[f327])).
% 6.67/1.43 thf(f327,axiom,(
% 6.67/1.43 (omegaS = (^[X1 : $i] : (setadjoin @ X1 @ X1)))),
% 6.67/1.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',omegaS)).
% 6.67/1.43 thf(f1503,plain,(
% 6.67/1.43 ((omegaS @ sK0) = (omegaS @ sK1))),
% 6.67/1.43 inference(cnf_transformation,[],[f994])).
% 6.67/1.43 thf(f5542,plain,(
% 6.67/1.43 ~spl2_3),
% 6.67/1.43 inference(avatar_split_clause,[],[f333,f5539])).
% 6.67/1.43 thf(f5539,plain,(
% 6.67/1.43 spl2_3 <=> ($false = $true)),
% 6.67/1.43 introduced(avatar_definition,[new_symbols(naming,[spl2_3])])).
% 6.67/1.43 thf(f333,plain,(
% 6.67/1.43 ($false != $true)),
% 6.67/1.43 introduced(fool_axiom,[])).
% 6.67/1.43 thf(f5532,plain,(
% 6.67/1.43 ~spl2_1),
% 6.67/1.43 inference(avatar_split_clause,[],[f1505,f5529])).
% 6.67/1.43 thf(f1505,plain,(
% 6.67/1.43 (sK0 != sK1)),
% 6.67/1.43 inference(cnf_transformation,[],[f994])).
% 6.67/1.43 % SZS output end Proof for theBenchmark
% 6.67/1.43 % (13049)------------------------------
% 6.67/1.43 % (13049)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.67/1.43 % (13049)Termination reason: Refutation
% 6.67/1.43
% 6.67/1.43 % (13049)Memory used [KB]: 11001
% 6.67/1.43 % (13049)Time elapsed: 0.295 s
% 6.67/1.43 % (13049)Instructions burned: 974 (million)
% 6.67/1.43 % (13049)------------------------------
% 6.67/1.43 % (13049)------------------------------
% 6.67/1.43 % (12951)Success in time 1.058 s
% 6.67/1.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------