TSTP Solution File: SEU648^1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU648^1 : 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 : n005.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 03:50:18 EDT 2024
% Result : Theorem 0.21s 0.55s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.13 % Problem : SEU648^1 : TPTP v8.2.0. Released v3.7.0.
% 0.13/0.14 % 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 : n005.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 16:12:23 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
% 0.14/0.39 % (13811)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)
% 0.14/0.39 % (13808)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)
% 0.14/0.39 % (13807)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.14/0.39 % (13813)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.14/0.39 % (13812)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)
% 0.14/0.39 % (13814)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)
% 0.14/0.39 % (13810)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.39 % (13809)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)
% 0.14/0.39 % (13810)Instruction limit reached!
% 0.14/0.39 % (13810)------------------------------
% 0.14/0.39 % (13810)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (13810)Termination reason: Unknown
% 0.14/0.39 % (13810)Termination phase: shuffling
% 0.14/0.39 % (13811)Instruction limit reached!
% 0.14/0.39 % (13811)------------------------------
% 0.14/0.39 % (13811)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (13811)Termination reason: Unknown
% 0.14/0.39 % (13811)Termination phase: shuffling
% 0.14/0.39
% 0.14/0.39 % (13811)Memory used [KB]: 1279
% 0.14/0.39 % (13811)Time elapsed: 0.003 s
% 0.14/0.39 % (13811)Instructions burned: 2 (million)
% 0.14/0.39 % (13811)------------------------------
% 0.14/0.39 % (13811)------------------------------
% 0.14/0.39
% 0.14/0.39 % (13810)Memory used [KB]: 1279
% 0.14/0.39 % (13810)Time elapsed: 0.003 s
% 0.14/0.39 % (13810)Instructions burned: 2 (million)
% 0.14/0.39 % (13810)------------------------------
% 0.14/0.39 % (13810)------------------------------
% 0.14/0.39 % (13814)Instruction limit reached!
% 0.14/0.39 % (13814)------------------------------
% 0.14/0.39 % (13814)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (13814)Termination reason: Unknown
% 0.14/0.39 % (13814)Termination phase: shuffling
% 0.14/0.39
% 0.14/0.39 % (13814)Memory used [KB]: 1279
% 0.14/0.39 % (13814)Time elapsed: 0.003 s
% 0.14/0.39 % (13814)Instructions burned: 3 (million)
% 0.14/0.39 % (13814)------------------------------
% 0.14/0.39 % (13814)------------------------------
% 0.14/0.39 % (13808)Instruction limit reached!
% 0.14/0.39 % (13808)------------------------------
% 0.14/0.39 % (13808)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (13808)Termination reason: Unknown
% 0.14/0.39 % (13808)Termination phase: shuffling
% 0.14/0.39
% 0.14/0.39 % (13808)Memory used [KB]: 1279
% 0.14/0.39 % (13808)Time elapsed: 0.004 s
% 0.14/0.39 % (13808)Instructions burned: 4 (million)
% 0.14/0.39 % (13808)------------------------------
% 0.14/0.39 % (13808)------------------------------
% 0.14/0.40 % (13813)Instruction limit reached!
% 0.14/0.40 % (13813)------------------------------
% 0.14/0.40 % (13813)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (13813)Termination reason: Unknown
% 0.14/0.40 % (13813)Termination phase: Property scanning
% 0.14/0.40
% 0.14/0.40 % (13813)Memory used [KB]: 1535
% 0.14/0.40 % (13813)Time elapsed: 0.012 s
% 0.14/0.40 % (13813)Instructions burned: 18 (million)
% 0.14/0.40 % (13813)------------------------------
% 0.14/0.40 % (13813)------------------------------
% 0.14/0.40 % (13809)Instruction limit reached!
% 0.14/0.40 % (13809)------------------------------
% 0.14/0.40 % (13809)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (13809)Termination reason: Unknown
% 0.14/0.40 % (13809)Termination phase: Property scanning
% 0.14/0.40
% 0.14/0.40 % (13809)Memory used [KB]: 1791
% 0.14/0.40 % (13809)Time elapsed: 0.016 s
% 0.14/0.40 % (13809)Instructions burned: 27 (million)
% 0.14/0.40 % (13809)------------------------------
% 0.14/0.40 % (13809)------------------------------
% 0.14/0.40 % (13816)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)
% 0.14/0.40 % (13815)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)
% 0.14/0.40 % (13817)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)
% 0.14/0.41 % (13818)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)
% 0.14/0.41 % (13817)Instruction limit reached!
% 0.14/0.41 % (13817)------------------------------
% 0.14/0.41 % (13817)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41 % (13817)Termination reason: Unknown
% 0.14/0.41 % (13817)Termination phase: shuffling
% 0.14/0.41
% 0.14/0.41 % (13817)Memory used [KB]: 1279
% 0.14/0.41 % (13817)Time elapsed: 0.003 s
% 0.14/0.41 % (13817)Instructions burned: 3 (million)
% 0.14/0.41 % (13817)------------------------------
% 0.14/0.41 % (13817)------------------------------
% 0.14/0.41 % (13816)Instruction limit reached!
% 0.14/0.41 % (13816)------------------------------
% 0.14/0.41 % (13816)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41 % (13816)Termination reason: Unknown
% 0.14/0.41 % (13816)Termination phase: Property scanning
% 0.14/0.41
% 0.14/0.41 % (13816)Memory used [KB]: 1535
% 0.14/0.41 % (13816)Time elapsed: 0.010 s
% 0.14/0.41 % (13816)Instructions burned: 15 (million)
% 0.14/0.41 % (13816)------------------------------
% 0.14/0.41 % (13816)------------------------------
% 0.14/0.41 % (13820)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.14/0.42 % (13821)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.14/0.42 % (13820)Instruction limit reached!
% 0.14/0.42 % (13820)------------------------------
% 0.14/0.42 % (13820)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.42 % (13820)Termination reason: Unknown
% 0.14/0.42 % (13820)Termination phase: shuffling
% 0.14/0.42
% 0.14/0.42 % (13820)Memory used [KB]: 1407
% 0.14/0.42 % (13820)Time elapsed: 0.006 s
% 0.14/0.42 % (13820)Instructions burned: 8 (million)
% 0.14/0.42 % (13820)------------------------------
% 0.14/0.42 % (13820)------------------------------
% 0.14/0.42 % (13822)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)
% 0.14/0.42 % (13822)Instruction limit reached!
% 0.14/0.42 % (13822)------------------------------
% 0.14/0.42 % (13822)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.42 % (13822)Termination reason: Unknown
% 0.14/0.42 % (13822)Termination phase: shuffling
% 0.14/0.42
% 0.14/0.42 % (13822)Memory used [KB]: 1279
% 0.14/0.42 % (13822)Time elapsed: 0.003 s
% 0.14/0.42 % (13822)Instructions burned: 3 (million)
% 0.14/0.42 % (13822)------------------------------
% 0.14/0.42 % (13822)------------------------------
% 0.14/0.42 % (13815)Instruction limit reached!
% 0.14/0.42 % (13815)------------------------------
% 0.14/0.42 % (13815)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.42 % (13815)Termination reason: Unknown
% 0.14/0.42 % (13815)Termination phase: Property scanning
% 0.14/0.42
% 0.14/0.42 % (13815)Memory used [KB]: 1791
% 0.14/0.42 % (13815)Time elapsed: 0.021 s
% 0.14/0.42 % (13815)Instructions burned: 37 (million)
% 0.14/0.42 % (13815)------------------------------
% 0.14/0.42 % (13815)------------------------------
% 0.14/0.43 % (13821)Instruction limit reached!
% 0.14/0.43 % (13821)------------------------------
% 0.14/0.43 % (13821)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.43 % (13821)Termination reason: Unknown
% 0.14/0.43 % (13821)Termination phase: shuffling
% 0.14/0.43
% 0.14/0.43 % (13821)Memory used [KB]: 1663
% 0.14/0.43 % (13821)Time elapsed: 0.010 s
% 0.14/0.43 % (13821)Instructions burned: 16 (million)
% 0.14/0.43 % (13821)------------------------------
% 0.14/0.43 % (13821)------------------------------
% 0.14/0.43 % (13823)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)
% 0.21/0.43 % (13823)Instruction limit reached!
% 0.21/0.43 % (13823)------------------------------
% 0.21/0.43 % (13823)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (13823)Termination reason: Unknown
% 0.21/0.43 % (13823)Termination phase: shuffling
% 0.21/0.43
% 0.21/0.43 % (13823)Memory used [KB]: 1279
% 0.21/0.43 % (13823)Time elapsed: 0.003 s
% 0.21/0.43 % (13823)Instructions burned: 3 (million)
% 0.21/0.43 % (13823)------------------------------
% 0.21/0.43 % (13823)------------------------------
% 0.21/0.43 % (13824)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)
% 0.21/0.44 % (13824)Instruction limit reached!
% 0.21/0.44 % (13824)------------------------------
% 0.21/0.44 % (13824)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (13824)Termination reason: Unknown
% 0.21/0.44 % (13824)Termination phase: shuffling
% 0.21/0.44
% 0.21/0.44 % (13824)Memory used [KB]: 1407
% 0.21/0.44 % (13824)Time elapsed: 0.005 s
% 0.21/0.44 % (13824)Instructions burned: 7 (million)
% 0.21/0.44 % (13824)------------------------------
% 0.21/0.44 % (13824)------------------------------
% 0.21/0.44 % (13825)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)
% 0.21/0.44 % (13826)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.44 % (13825)Instruction limit reached!
% 0.21/0.44 % (13825)------------------------------
% 0.21/0.44 % (13825)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (13825)Termination reason: Unknown
% 0.21/0.44 % (13825)Termination phase: shuffling
% 0.21/0.44
% 0.21/0.44 % (13825)Memory used [KB]: 1279
% 0.21/0.44 % (13825)Time elapsed: 0.003 s
% 0.21/0.44 % (13825)Instructions burned: 3 (million)
% 0.21/0.44 % (13825)------------------------------
% 0.21/0.44 % (13825)------------------------------
% 0.21/0.44 % (13826)Instruction limit reached!
% 0.21/0.44 % (13826)------------------------------
% 0.21/0.44 % (13826)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (13826)Termination reason: Unknown
% 0.21/0.44 % (13826)Termination phase: shuffling
% 0.21/0.44
% 0.21/0.44 % (13826)Memory used [KB]: 1279
% 0.21/0.44 % (13826)Time elapsed: 0.004 s
% 0.21/0.44 % (13826)Instructions burned: 4 (million)
% 0.21/0.44 % (13826)------------------------------
% 0.21/0.44 % (13826)------------------------------
% 0.21/0.44 % (13827)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)
% 0.21/0.45 % (13828)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.21/0.45 % (13827)Instruction limit reached!
% 0.21/0.45 % (13827)------------------------------
% 0.21/0.45 % (13827)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (13827)Termination reason: Unknown
% 0.21/0.45 % (13827)Termination phase: shuffling
% 0.21/0.45
% 0.21/0.45 % (13827)Memory used [KB]: 1663
% 0.21/0.45 % (13827)Time elapsed: 0.011 s
% 0.21/0.45 % (13827)Instructions burned: 19 (million)
% 0.21/0.45 % (13827)------------------------------
% 0.21/0.45 % (13827)------------------------------
% 0.21/0.45 % (13829)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.45 % (13830)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)
% 0.21/0.46 % (13831)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)
% 0.21/0.46 % (13829)Instruction limit reached!
% 0.21/0.46 % (13829)------------------------------
% 0.21/0.46 % (13829)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.46 % (13829)Termination reason: Unknown
% 0.21/0.46 % (13829)Termination phase: shuffling
% 0.21/0.46
% 0.21/0.46 % (13829)Memory used [KB]: 1407
% 0.21/0.46 % (13829)Time elapsed: 0.005 s
% 0.21/0.46 % (13829)Instructions burned: 7 (million)
% 0.21/0.46 % (13829)------------------------------
% 0.21/0.46 % (13829)------------------------------
% 0.21/0.47 % (13832)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.21/0.47 % (13831)Instruction limit reached!
% 0.21/0.47 % (13831)------------------------------
% 0.21/0.47 % (13831)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.47 % (13831)Termination reason: Unknown
% 0.21/0.47 % (13831)Termination phase: shuffling
% 0.21/0.47
% 0.21/0.47 % (13831)Memory used [KB]: 1791
% 0.21/0.47 % (13831)Time elapsed: 0.013 s
% 0.21/0.47 % (13831)Instructions burned: 21 (million)
% 0.21/0.47 % (13831)------------------------------
% 0.21/0.47 % (13831)------------------------------
% 0.21/0.47 % (13832)Instruction limit reached!
% 0.21/0.47 % (13832)------------------------------
% 0.21/0.47 % (13832)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.47 % (13832)Termination reason: Unknown
% 0.21/0.47 % (13832)Termination phase: shuffling
% 0.21/0.47
% 0.21/0.47 % (13832)Memory used [KB]: 1279
% 0.21/0.47 % (13832)Time elapsed: 0.004 s
% 0.21/0.47 % (13832)Instructions burned: 5 (million)
% 0.21/0.47 % (13832)------------------------------
% 0.21/0.47 % (13832)------------------------------
% 0.21/0.47 % (13833)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)
% 0.21/0.47 % (13833)Instruction limit reached!
% 0.21/0.47 % (13833)------------------------------
% 0.21/0.47 % (13833)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.47 % (13833)Termination reason: Unknown
% 0.21/0.47 % (13833)Termination phase: shuffling
% 0.21/0.47
% 0.21/0.47 % (13833)Memory used [KB]: 1407
% 0.21/0.47 % (13833)Time elapsed: 0.005 s
% 0.21/0.47 % (13833)Instructions burned: 7 (million)
% 0.21/0.47 % (13833)------------------------------
% 0.21/0.47 % (13833)------------------------------
% 0.21/0.48 % (13834)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.21/0.48 % (13835)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)
% 0.21/0.49 % (13807)Instruction limit reached!
% 0.21/0.49 % (13807)------------------------------
% 0.21/0.49 % (13807)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.49 % (13807)Termination reason: Unknown
% 0.21/0.49 % (13807)Termination phase: Saturation
% 0.21/0.49
% 0.21/0.49 % (13807)Memory used [KB]: 7419
% 0.21/0.49 % (13807)Time elapsed: 0.104 s
% 0.21/0.49 % (13807)Instructions burned: 183 (million)
% 0.21/0.49 % (13807)------------------------------
% 0.21/0.49 % (13807)------------------------------
% 0.21/0.49 % (13836)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 % (13836)Instruction limit reached!
% 0.21/0.50 % (13836)------------------------------
% 0.21/0.50 % (13836)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.50 % (13836)Termination reason: Unknown
% 0.21/0.50 % (13836)Termination phase: shuffling
% 0.21/0.50
% 0.21/0.50 % (13836)Memory used [KB]: 1663
% 0.21/0.50 % (13836)Time elapsed: 0.012 s
% 0.21/0.50 % (13836)Instructions burned: 19 (million)
% 0.21/0.50 % (13836)------------------------------
% 0.21/0.50 % (13836)------------------------------
% 0.21/0.51 % (13837)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)
% 0.21/0.52 % (13838)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.21/0.53 % (13838)Instruction limit reached!
% 0.21/0.53 % (13838)------------------------------
% 0.21/0.53 % (13838)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.53 % (13838)Termination reason: Unknown
% 0.21/0.53 % (13838)Termination phase: shuffling
% 0.21/0.53
% 0.21/0.53 % (13838)Memory used [KB]: 1663
% 0.21/0.53 % (13838)Time elapsed: 0.012 s
% 0.21/0.53 % (13838)Instructions burned: 18 (million)
% 0.21/0.53 % (13838)------------------------------
% 0.21/0.53 % (13838)------------------------------
% 0.21/0.54 % (13812)First to succeed.
% 0.21/0.54 % (13839)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.21/0.54 % (13839)Instruction limit reached!
% 0.21/0.54 % (13839)------------------------------
% 0.21/0.54 % (13839)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.54 % (13839)Termination reason: Unknown
% 0.21/0.54 % (13839)Termination phase: shuffling
% 0.21/0.54
% 0.21/0.54 % (13839)Memory used [KB]: 1279
% 0.21/0.54 % (13839)Time elapsed: 0.004 s
% 0.21/0.54 % (13839)Instructions burned: 4 (million)
% 0.21/0.54 % (13839)------------------------------
% 0.21/0.54 % (13839)------------------------------
% 0.21/0.55 % (13812)Refutation found. Thanks to Tanya!
% 0.21/0.55 % SZS status Theorem for theBenchmark
% 0.21/0.55 % SZS output start Proof for theBenchmark
% 0.21/0.55 thf(func_def_0, type, in: $i > $i > $o).
% 0.21/0.55 thf(func_def_1, type, exu: ($i > $o) > $o).
% 0.21/0.55 thf(func_def_6, type, setadjoin: $i > $i > $i).
% 0.21/0.55 thf(func_def_8, type, powerset: $i > $i).
% 0.21/0.55 thf(func_def_10, type, setunion: $i > $i).
% 0.21/0.55 thf(func_def_19, type, descr: ($i > $o) > $i).
% 0.21/0.55 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i).
% 0.21/0.55 thf(func_def_26, type, prop2set: $o > $i).
% 0.21/0.55 thf(func_def_36, type, nonempty: $i > $o).
% 0.21/0.55 thf(func_def_69, type, set2prop: $i > $o).
% 0.21/0.55 thf(func_def_88, type, subset: $i > $i > $o).
% 0.21/0.55 thf(func_def_89, type, disjoint: $i > $i > $o).
% 0.21/0.55 thf(func_def_90, type, setsmeet: $i > $i > $o).
% 0.21/0.55 thf(func_def_114, type, binunion: $i > $i > $i).
% 0.21/0.55 thf(func_def_122, type, binintersect: $i > $i > $i).
% 0.21/0.55 thf(func_def_135, type, regular: $i > $o).
% 0.21/0.55 thf(func_def_136, type, setminus: $i > $i > $i).
% 0.21/0.55 thf(func_def_147, type, symdiff: $i > $i > $i).
% 0.21/0.55 thf(func_def_153, type, iskpair: $i > $o).
% 0.21/0.55 thf(func_def_158, type, kpair: $i > $i > $i).
% 0.21/0.55 thf(func_def_160, type, cartprod: $i > $i > $i).
% 0.21/0.55 thf(func_def_177, type, singleton: $i > $o).
% 0.21/0.55 thf(func_def_179, type, ex1: $i > ($i > $o) > $o).
% 0.21/0.55 thf(func_def_184, type, atmost1p: $i > $o).
% 0.21/0.55 thf(func_def_185, type, atleast2p: $i > $o).
% 0.21/0.55 thf(func_def_186, type, atmost2p: $i > $o).
% 0.21/0.55 thf(func_def_187, type, upairsetp: $i > $o).
% 0.21/0.55 thf(func_def_191, type, kfst: $i > $i).
% 0.21/0.55 thf(func_def_207, type, sP0: $o > $i > $i > $i > $o).
% 0.21/0.55 thf(func_def_210, type, sP3: $i > $i > $o).
% 0.21/0.55 thf(func_def_211, type, sP4: $i > $o).
% 0.21/0.55 thf(func_def_212, type, sP5: $i > $i > $o).
% 0.21/0.55 thf(func_def_213, type, sP6: $i > $i > $o).
% 0.21/0.55 thf(func_def_221, type, sK14: ($i > $o) > ($i > $o) > $i).
% 0.21/0.55 thf(func_def_222, type, sK15: ($i > $o) > ($i > $o) > $i).
% 0.21/0.55 thf(func_def_223, type, sK16: $i > $o).
% 0.21/0.55 thf(func_def_224, type, sK17: $i > $o).
% 0.21/0.55 thf(func_def_227, type, sK20: ($i > $o) > $i > $i).
% 0.21/0.55 thf(func_def_229, type, sK22: $i > $o).
% 0.21/0.55 thf(func_def_242, type, sK35: $i > $o).
% 0.21/0.55 thf(func_def_243, type, sK36: $o > $i > $i > $i).
% 0.21/0.55 thf(func_def_259, type, sK52: $i > $o).
% 0.21/0.55 thf(func_def_263, type, sK56: ($i > $o) > $i).
% 0.21/0.55 thf(func_def_264, type, sK57: $i > $o).
% 0.21/0.55 thf(func_def_265, type, sK58: $i > $i).
% 0.21/0.55 thf(func_def_271, type, sK64: $i > $i).
% 0.21/0.55 thf(func_def_286, type, sK79: $i > $o).
% 0.21/0.55 thf(func_def_288, type, sK81: ($i > $o) > $i > $i).
% 0.21/0.55 thf(func_def_297, type, sK90: $i > $i).
% 0.21/0.55 thf(func_def_315, type, sK108: $i > $i > $i).
% 0.21/0.55 thf(func_def_317, type, sK110: $i > $i > $i).
% 0.21/0.55 thf(func_def_327, type, sK120: $i > ($i > $o) > $i).
% 0.21/0.55 thf(func_def_328, type, sK121: $i > $o).
% 0.21/0.55 thf(func_def_330, type, sK123: $i > $o).
% 0.21/0.55 thf(func_def_331, type, sK124: ($i > $o) > $i > $i).
% 0.21/0.55 thf(func_def_333, type, sK126: $i > $o).
% 0.21/0.55 thf(func_def_344, type, sK137: $i > $i > $i).
% 0.21/0.55 thf(func_def_349, type, sK142: $i > $o).
% 0.21/0.55 thf(func_def_354, type, sK147: $i > $i > $i).
% 0.21/0.55 thf(func_def_355, type, sK148: $i > $i > $i).
% 0.21/0.55 thf(func_def_362, type, sK155: $i > ($i > $o) > $i).
% 0.21/0.55 thf(func_def_363, type, sK156: $i > $o).
% 0.21/0.55 thf(func_def_366, type, sK159: $i > $o).
% 0.21/0.55 thf(func_def_369, type, sK162: $i > ($i > $o) > $i).
% 0.21/0.55 thf(func_def_386, type, sK179: $i > $i > $i).
% 0.21/0.55 thf(func_def_398, type, sK191: $i > $i > $i).
% 0.21/0.55 thf(func_def_399, type, sK192: $i > $i > $o).
% 0.21/0.55 thf(func_def_401, type, sK194: $i > $i).
% 0.21/0.55 thf(func_def_402, type, sK195: $i > $i).
% 0.21/0.55 thf(func_def_403, type, sK196: $i > ($i > $i > $o) > $i).
% 0.21/0.55 thf(func_def_404, type, sK197: $i > $i > ($i > $i > $o) > $i).
% 0.21/0.55 thf(func_def_405, type, sK198: $i > ($i > $i > $o) > $i).
% 0.21/0.55 thf(func_def_420, type, sK213: $i > $o).
% 0.21/0.55 thf(func_def_442, type, sK235: $i > $o).
% 0.21/0.55 thf(func_def_444, type, sK237: ($i > $o) > $i > $i).
% 0.21/0.55 thf(func_def_445, type, sK238: ($i > $o) > $i > $i).
% 0.21/0.55 thf(func_def_446, type, sK239: ($i > $o) > ($i > $o) > $i > $i > $i).
% 0.21/0.55 thf(func_def_447, type, sK240: ($i > $o) > ($i > $o) > $i > $i > $i).
% 0.21/0.55 thf(func_def_450, type, sK243: $i > $o).
% 0.21/0.55 thf(func_def_451, type, sK244: $i > $o).
% 0.21/0.55 thf(func_def_452, type, sK245: $i > $i > $i).
% 0.21/0.55 thf(func_def_453, type, sK246: $i > $i > $i).
% 0.21/0.55 thf(func_def_454, type, sK247: $i > $i > $i).
% 0.21/0.55 thf(func_def_455, type, sK248: $i > $i > $i).
% 0.21/0.55 thf(func_def_456, type, sK249: $i > $i > $i).
% 0.21/0.55 thf(func_def_457, type, sK250: $i > $i > $i > $i).
% 0.21/0.55 thf(func_def_458, type, sK251: $i > $i).
% 0.21/0.55 thf(func_def_459, type, sK252: $i > $i).
% 0.21/0.55 thf(func_def_460, type, sK253: $i > $i).
% 0.21/0.55 thf(func_def_461, type, sK254: $i > $i).
% 0.21/0.55 thf(func_def_462, type, sK255: $i > $i > $i).
% 0.21/0.55 thf(func_def_463, type, sK256: $i > $i > $i > $i).
% 0.21/0.55 thf(func_def_464, type, sK257: $i > $i > $i > $i).
% 0.21/0.55 thf(func_def_465, type, sK258: $i > $i > $i).
% 0.21/0.55 thf(func_def_466, type, sK259: $i > $i > $i).
% 0.21/0.55 thf(func_def_467, type, sK260: $i > $i).
% 0.21/0.55 thf(func_def_469, type, sK262: $i > $i).
% 0.21/0.55 thf(func_def_470, type, sK263: $i > $i).
% 0.21/0.55 thf(func_def_471, type, sK264: ($i > $o) > $i).
% 0.21/0.55 thf(func_def_472, type, sK265: ($i > $o) > $i).
% 0.21/0.55 thf(func_def_473, type, sK266: $i > $o).
% 0.21/0.55 thf(func_def_483, type, sK276: $i > $i > $i).
% 0.21/0.55 thf(func_def_520, type, sK313: $i > $i > $i > $i).
% 0.21/0.55 thf(func_def_521, type, sK314: $i > $i > $i > $i).
% 0.21/0.55 thf(func_def_527, type, sK320: $i > $i).
% 0.21/0.55 thf(func_def_541, type, sK334: $i > $o).
% 0.21/0.55 thf(func_def_543, type, sK336: ($i > $o) > $i > $i).
% 0.21/0.55 thf(func_def_544, type, sK337: ($i > $o) > $i > $i).
% 0.21/0.55 thf(func_def_545, type, sK338: $i > $o).
% 0.21/0.55 thf(func_def_546, type, sK339: $i > $i).
% 0.21/0.55 thf(func_def_547, type, sK340: ($i > $o) > $i).
% 0.21/0.55 thf(func_def_548, type, sK341: $i > $o).
% 0.21/0.55 thf(func_def_550, type, sK343: $i > ($i > $o) > $i).
% 0.21/0.55 thf(func_def_552, type, sK345: $i > $o).
% 0.21/0.55 thf(func_def_564, type, sK357: $i > $o).
% 0.21/0.55 thf(func_def_567, type, sK360: $i > $i > ($i > $o) > $i).
% 0.21/0.55 thf(func_def_569, type, sK362: $i > $o).
% 0.21/0.55 thf(func_def_578, type, sK371: $i > $i > $i).
% 0.21/0.55 thf(func_def_585, type, sK378: $i > $i > $i).
% 0.21/0.55 thf(func_def_586, type, sK379: ($i > $o) > $i > $i).
% 0.21/0.55 thf(func_def_588, type, sK381: $i > $o).
% 0.21/0.55 thf(func_def_606, type, sK399: $i > $i).
% 0.21/0.55 thf(func_def_611, type, sK404: $i > $o).
% 0.21/0.55 thf(func_def_612, type, sK405: ($i > $o) > $i).
% 0.21/0.55 thf(func_def_614, type, sK407: $i > $o).
% 0.21/0.55 thf(func_def_615, type, sK408: ($i > $o) > $i > $i).
% 0.21/0.55 thf(func_def_621, type, sK414: $i > $i).
% 0.21/0.55 thf(func_def_623, type, sK416: $i > $o).
% 0.21/0.55 thf(func_def_628, type, sK421: $i > $i).
% 0.21/0.55 thf(func_def_629, type, sK422: $i > $i).
% 0.21/0.55 thf(func_def_634, type, sK427: $i > $o).
% 0.21/0.55 thf(func_def_644, type, sK437: $i > $o).
% 0.21/0.55 thf(func_def_656, type, sK449: $i > $o).
% 0.21/0.55 thf(func_def_658, type, sK451: $i > $o).
% 0.21/0.55 thf(func_def_662, type, sK455: ($i > $o) > ($i > $o) > $i).
% 0.21/0.55 thf(func_def_663, type, sK456: ($i > $o) > ($i > $o) > $i).
% 0.21/0.55 thf(func_def_664, type, sK457: $i > $o).
% 0.21/0.55 thf(func_def_665, type, sK458: $i > $o).
% 0.21/0.55 thf(func_def_667, type, ph460: !>[X0: $tType]:(X0)).
% 0.21/0.55 thf(f3509,plain,(
% 0.21/0.55 $false),
% 0.21/0.55 inference(subsumption_resolution,[],[f3508,f2081])).
% 0.21/0.55 thf(f2081,plain,(
% 0.21/0.55 (sK326 != sK329)),
% 0.21/0.55 inference(cnf_transformation,[],[f1275])).
% 0.21/0.55 thf(f1275,plain,(
% 0.21/0.55 (kfstsingleton = $true) & (setadjoinSub2 = $true) & (notinsingleton = $true) & (subsetE = $true) & (dsetconstrEL = $true) & (binintersectSubset4 = $true) & (vacuousDall = $true) & (setunion__Cong = $true) & (cartprodmempair1 = $true) & (descr__Cong = $true) & (subsetTrans = $true) & (singletonsswitch = $true) & (nonemptyI = $true) & (powersetAx = $true) & (quantDeMorgan4 = $true) & (emptyinPowerset = $true) & (symdiffI2 = $true) & (setminusSubset1 = $true) & (setminusIRneg = $true) & (subsetE2 = $true) & (setextAx = $true) & (exuE3e = $true) & (binintersectSubset3 = $true) & (binunionLsub = $true) & (binunionE = $true) & (ex1I = $true) & ((sK326 != sK329) & ((kpair @ sK326 @ sK327) = (kpair @ sK329 @ sK328))) & (cartprodmempair = $true) & (inPowerset = $true) & (cartprodfstin = $true) & (setadjoinIL = $true) & (setext = $true) & (ubforcartprodlem2 = $true) & (binintersectI = $true) & (dsetconstrER = $true) & (setunionAx = $true) & (singletonprop = $true) & (emptyInPowerset = $true) & (setunionE = $true) & (symdiffIneg1 = $true) & (setadjoinSub = $true) & (bs114d = $true) & (foundationAx = $true) & (setminusERneg = $true) & (notequalI1 = $true) & (notdallE = $true) & (cartprodpairin = $true) & (setadjoinE = $true) & (emptysetAx = $true) & (setminusELneg = $true) & (setminusI = $true) & (inCongP = $true) & (symdiffE = $true) & (notsubsetI = $true) & (binintersectER = $true) & (omega0Ax = $true) & (exuEu = $true) & (singletonsuniq = $true) & (kpairiskpair = $true) & (omegaSAx = $true) & (quantDeMorgan2 = $true) & (notinemptyset = $true) & (setbeta = $true) & (binunionIR = $true) & (setminusILneg = $true) & (ubforcartprodlem1 = $true) & (upairsetIR = $true) & (exuI3 = $true) & (nonemptyImpWitness = $true) & (setadjoinOr = $true) & (binunionIL = $true) & (binintersectSubset5 = $true) & (in__Cong = $true) & (symdiffI1 = $true) & (sepInPowerset = $true) & (setextsub = $true) & (powersetsubset = $true) & (emptyinunitempty = $true) & (binintersectSubset2 = $true) & (singletoninpowerset = $true) & (exuE1 = $true) & (sepSubset = $true) & (setunionE2 = $true) & (subPowSU = $true) & (subsetI1 = $true) & (subsetI2 = $true) & (binintersectLsub = $true) & (setadjoinAx = $true) & (setadjoinIR = $true) & (exu__Cong = $true) & (setukpairIR = $true) & (eqimpsubset2 = $true) & (upairset2E = $true) & (setukpairIL = $true) & (exuE3u = $true) & (disjointsetsI1 = $true) & (singletonsubset = $true) & (notdexE = $true) & (dsetconstr__Cong = $true) & (prop2set2propI = $true) & (binintersectEL = $true) & (setminusLsub = $true) & (replAx = $true) & (exuI1 = $true) & (setunionsingleton = $true) & (setukpairinjL2 = $true) & (powersetE = $true) & (uniqinunit = $true) & (descrp = $true) & (setoftrueEq = $true) & (omega__Cong = $true) & (powersetI1 = $true) & (setukpairinjL1 = $true) & (upairset2IR = $true) & (noeltsimpempty = $true) & (notequalI2 = $true) & (setminusEL = $true) & (setminusER = $true) & (kpairp = $true) & (eqimpsubset1 = $true) & (emptysetimpfalse = $true) & (ex1I2 = $true) & (upairsetE = $true) & (prop2setE = $true) & (omegaIndAx = $true) & (setadjoin__Cong = $true) & (emptyI = $true) & (ubforcartprodlem3 = $true) & (upairsubunion = $true) & (nonemptyI1 = $true) & (secondinupair = $true) & (setunionsingleton2 = $true) & (quantDeMorgan1 = $true) & (subset2powerset = $true) & (subsetemptysetimpeq = $true) & (subsetRefl = $true) & (nonemptyE1 = $true) & (powersetI = $true) & (kfstpairEq = $true) & (dsetconstrI = $true) & (binintersectRsub = $true) & (quantDeMorgan3 = $true) & (emptysetE = $true) & (ex1E1 = $true) & (powersetE1 = $true) & (setminusSubset2 = $true) & (exuI2 = $true) & (setunionsingleton1 = $true) & (singletoninpowunion = $true) & (binunionRsub = $true) & (upairinpowunion = $true) & (prop2setI = $true) & (eqinunit = $true) & (emptysetsubset = $true) & (theprop = $true) & (exuE2 = $true) & (symdiffIneg2 = $true) & (emptyE1 = $true) & (setunionI = $true) & (binintersectSubset1 = $true) & (emptyset__Cong = $true) & (binunionEcases = $true) & (powerset__Cong = $true) & (upairsetIL = $true) & (wellorderingAx = $true)),
% 0.21/0.55 inference(skolemisation,[status(esa),new_symbols(skolem,[sK326,sK327,sK328,sK329])],[f652,f1274])).
% 0.21/0.55 thf(f1274,plain,(
% 0.21/0.55 ? [X0,X1,X2,X3] : ((X0 != X3) & ((kpair @ X3 @ X2) = (kpair @ X0 @ X1))) => ((sK326 != sK329) & ((kpair @ sK326 @ sK327) = (kpair @ sK329 @ sK328)))),
% 0.21/0.55 introduced(choice_axiom,[])).
% 0.21/0.55 thf(f652,plain,(
% 0.21/0.55 (kfstsingleton = $true) & (setadjoinSub2 = $true) & (notinsingleton = $true) & (subsetE = $true) & (dsetconstrEL = $true) & (binintersectSubset4 = $true) & (vacuousDall = $true) & (setunion__Cong = $true) & (cartprodmempair1 = $true) & (descr__Cong = $true) & (subsetTrans = $true) & (singletonsswitch = $true) & (nonemptyI = $true) & (powersetAx = $true) & (quantDeMorgan4 = $true) & (emptyinPowerset = $true) & (symdiffI2 = $true) & (setminusSubset1 = $true) & (setminusIRneg = $true) & (subsetE2 = $true) & (setextAx = $true) & (exuE3e = $true) & (binintersectSubset3 = $true) & (binunionLsub = $true) & (binunionE = $true) & (ex1I = $true) & ? [X0,X1,X2,X3] : ((X0 != X3) & ((kpair @ X3 @ X2) = (kpair @ X0 @ X1))) & (cartprodmempair = $true) & (inPowerset = $true) & (cartprodfstin = $true) & (setadjoinIL = $true) & (setext = $true) & (ubforcartprodlem2 = $true) & (binintersectI = $true) & (dsetconstrER = $true) & (setunionAx = $true) & (singletonprop = $true) & (emptyInPowerset = $true) & (setunionE = $true) & (symdiffIneg1 = $true) & (setadjoinSub = $true) & (bs114d = $true) & (foundationAx = $true) & (setminusERneg = $true) & (notequalI1 = $true) & (notdallE = $true) & (cartprodpairin = $true) & (setadjoinE = $true) & (emptysetAx = $true) & (setminusELneg = $true) & (setminusI = $true) & (inCongP = $true) & (symdiffE = $true) & (notsubsetI = $true) & (binintersectER = $true) & (omega0Ax = $true) & (exuEu = $true) & (singletonsuniq = $true) & (kpairiskpair = $true) & (omegaSAx = $true) & (quantDeMorgan2 = $true) & (notinemptyset = $true) & (setbeta = $true) & (binunionIR = $true) & (setminusILneg = $true) & (ubforcartprodlem1 = $true) & (upairsetIR = $true) & (exuI3 = $true) & (nonemptyImpWitness = $true) & (setadjoinOr = $true) & (binunionIL = $true) & (binintersectSubset5 = $true) & (in__Cong = $true) & (symdiffI1 = $true) & (sepInPowerset = $true) & (setextsub = $true) & (powersetsubset = $true) & (emptyinunitempty = $true) & (binintersectSubset2 = $true) & (singletoninpowerset = $true) & (exuE1 = $true) & (sepSubset = $true) & (setunionE2 = $true) & (subPowSU = $true) & (subsetI1 = $true) & (subsetI2 = $true) & (binintersectLsub = $true) & (setadjoinAx = $true) & (setadjoinIR = $true) & (exu__Cong = $true) & (setukpairIR = $true) & (eqimpsubset2 = $true) & (upairset2E = $true) & (setukpairIL = $true) & (exuE3u = $true) & (disjointsetsI1 = $true) & (singletonsubset = $true) & (notdexE = $true) & (dsetconstr__Cong = $true) & (prop2set2propI = $true) & (binintersectEL = $true) & (setminusLsub = $true) & (replAx = $true) & (exuI1 = $true) & (setunionsingleton = $true) & (setukpairinjL2 = $true) & (powersetE = $true) & (uniqinunit = $true) & (descrp = $true) & (setoftrueEq = $true) & (omega__Cong = $true) & (powersetI1 = $true) & (setukpairinjL1 = $true) & (upairset2IR = $true) & (noeltsimpempty = $true) & (notequalI2 = $true) & (setminusEL = $true) & (setminusER = $true) & (kpairp = $true) & (eqimpsubset1 = $true) & (emptysetimpfalse = $true) & (ex1I2 = $true) & (upairsetE = $true) & (prop2setE = $true) & (omegaIndAx = $true) & (setadjoin__Cong = $true) & (emptyI = $true) & (ubforcartprodlem3 = $true) & (upairsubunion = $true) & (nonemptyI1 = $true) & (secondinupair = $true) & (setunionsingleton2 = $true) & (quantDeMorgan1 = $true) & (subset2powerset = $true) & (subsetemptysetimpeq = $true) & (subsetRefl = $true) & (nonemptyE1 = $true) & (powersetI = $true) & (kfstpairEq = $true) & (dsetconstrI = $true) & (binintersectRsub = $true) & (quantDeMorgan3 = $true) & (emptysetE = $true) & (ex1E1 = $true) & (powersetE1 = $true) & (setminusSubset2 = $true) & (exuI2 = $true) & (setunionsingleton1 = $true) & (singletoninpowunion = $true) & (binunionRsub = $true) & (upairinpowunion = $true) & (prop2setI = $true) & (eqinunit = $true) & (emptysetsubset = $true) & (theprop = $true) & (exuE2 = $true) & (symdiffIneg2 = $true) & (emptyE1 = $true) & (setunionI = $true) & (binintersectSubset1 = $true) & (emptyset__Cong = $true) & (binunionEcases = $true) & (powerset__Cong = $true) & (upairsetIL = $true) & (wellorderingAx = $true)),
% 0.21/0.55 inference(flattening,[],[f651])).
% 0.21/0.55 thf(f651,plain,(
% 0.21/0.55 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1,X2,X3] : ((X0 != X3) & ((kpair @ X3 @ X2) = (kpair @ X0 @ X1))) & (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)),
% 0.21/0.55 inference(ennf_transformation,[],[f317])).
% 0.21/0.55 thf(f317,plain,(
% 0.21/0.55 ~((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) => ! [X0,X1,X2,X3] : (((kpair @ X3 @ X2) = (kpair @ X0 @ X1)) => (X0 = X3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.21/0.55 inference(fool_elimination,[],[f316])).
% 0.21/0.55 thf(f316,plain,(
% 0.21/0.55 ~(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 => ! [X0,X1,X2,X3] : (((kpair @ X3 @ X2) = (kpair @ X0 @ X1)) => (X0 = X3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.21/0.55 inference(rectify,[],[f172])).
% 0.21/0.55 thf(f172,negated_conjecture,(
% 0.21/0.55 ~(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 => ! [X8,X10,X2,X1] : (((kpair @ X1 @ X2) = (kpair @ X8 @ X10)) => (X1 = X8))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.21/0.55 inference(negated_conjecture,[],[f171])).
% 0.21/0.55 thf(f171,conjecture,(
% 0.21/0.55 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 => ! [X8,X10,X2,X1] : (((kpair @ X1 @ X2) = (kpair @ X8 @ X10)) => (X1 = X8)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.21/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setukpairinjL)).
% 0.21/0.55 thf(f3508,plain,(
% 0.21/0.55 (sK326 = sK329)),
% 0.21/0.55 inference(forward_demodulation,[],[f3506,f3146])).
% 0.21/0.55 thf(f3146,plain,(
% 0.21/0.55 ( ! [X0 : $i,X1 : $i] : (((kfst @ (kpair @ X1 @ X0)) = X1)) )),
% 0.21/0.55 inference(trivial_inequality_removal,[],[f2308])).
% 0.21/0.55 thf(f2308,plain,(
% 0.21/0.55 ( ! [X0 : $i,X1 : $i] : (((kfst @ (kpair @ X1 @ X0)) = X1) | ($true != $true)) )),
% 0.21/0.55 inference(definition_unfolding,[],[f1510,f1968])).
% 0.21/0.55 thf(f1968,plain,(
% 0.21/0.55 (kfstpairEq = $true)),
% 0.21/0.55 inference(cnf_transformation,[],[f1275])).
% 0.21/0.55 thf(f1510,plain,(
% 0.21/0.55 ( ! [X0 : $i,X1 : $i] : (((kfst @ (kpair @ X1 @ X0)) = X1) | (kfstpairEq != $true)) )),
% 0.21/0.55 inference(cnf_transformation,[],[f770])).
% 0.21/0.55 thf(f770,plain,(
% 0.21/0.55 (! [X0,X1] : ((kfst @ (kpair @ X1 @ X0)) = X1) | (kfstpairEq != $true)) & ((kfstpairEq = $true) | ((kfst @ (kpair @ sK31 @ sK30)) != sK31))),
% 0.21/0.55 inference(skolemisation,[status(esa),new_symbols(skolem,[sK30,sK31])],[f768,f769])).
% 0.21/0.55 thf(f769,plain,(
% 0.21/0.55 ? [X2,X3] : ((kfst @ (kpair @ X3 @ X2)) != X3) => ((kfst @ (kpair @ sK31 @ sK30)) != sK31)),
% 0.21/0.55 introduced(choice_axiom,[])).
% 0.21/0.55 thf(f768,plain,(
% 0.21/0.55 (! [X0,X1] : ((kfst @ (kpair @ X1 @ X0)) = X1) | (kfstpairEq != $true)) & ((kfstpairEq = $true) | ? [X2,X3] : ((kfst @ (kpair @ X3 @ X2)) != X3))),
% 0.21/0.55 inference(rectify,[],[f767])).
% 0.21/0.55 thf(f767,plain,(
% 0.21/0.55 (! [X0,X1] : ((kfst @ (kpair @ X1 @ X0)) = X1) | (kfstpairEq != $true)) & ((kfstpairEq = $true) | ? [X0,X1] : ((kfst @ (kpair @ X1 @ X0)) != X1))),
% 0.21/0.55 inference(nnf_transformation,[],[f505])).
% 0.21/0.55 thf(f505,plain,(
% 0.21/0.55 ! [X0,X1] : ((kfst @ (kpair @ X1 @ X0)) = X1) <=> (kfstpairEq = $true)),
% 0.21/0.55 inference(fool_elimination,[],[f504])).
% 0.21/0.55 thf(f504,plain,(
% 0.21/0.55 (! [X0,X1] : ((kfst @ (kpair @ X1 @ X0)) = X1) = kfstpairEq)),
% 0.21/0.55 inference(rectify,[],[f168])).
% 0.21/0.55 thf(f168,axiom,(
% 0.21/0.55 (! [X2,X1] : ((kfst @ (kpair @ X1 @ X2)) = X1) = kfstpairEq)),
% 0.21/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kfstpairEq)).
% 0.21/0.55 thf(f3506,plain,(
% 0.21/0.55 ((kfst @ (kpair @ sK326 @ sK327)) = sK329)),
% 0.21/0.55 inference(superposition,[],[f3146,f2080])).
% 0.21/0.55 thf(f2080,plain,(
% 0.21/0.55 ((kpair @ sK326 @ sK327) = (kpair @ sK329 @ sK328))),
% 0.21/0.55 inference(cnf_transformation,[],[f1275])).
% 0.21/0.55 % SZS output end Proof for theBenchmark
% 0.21/0.55 % (13812)------------------------------
% 0.21/0.55 % (13812)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.55 % (13812)Termination reason: Refutation
% 0.21/0.55
% 0.21/0.55 % (13812)Memory used [KB]: 8315
% 0.21/0.55 % (13812)Time elapsed: 0.159 s
% 0.21/0.55 % (13812)Instructions burned: 250 (million)
% 0.21/0.55 % (13812)------------------------------
% 0.21/0.55 % (13812)------------------------------
% 0.21/0.55 % (13806)Success in time 0.189 s
% 0.21/0.55 % Vampire---4.8 exiting
%------------------------------------------------------------------------------