TSTP Solution File: SEU659^1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU659^1 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n002.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 03:50:24 EDT 2024
% Result : Theorem 1.60s 0.57s
% Output : Refutation 1.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU659^1 : TPTP v8.2.0. Released v3.7.0.
% 0.07/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.37 % Computer : n002.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Sun May 19 18:10:07 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a TH0_THM_EQU_NAR problem
% 0.16/0.37 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/sandbox/benchmark/theBenchmark.p
% 0.16/0.40 % (6783)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)
% 0.16/0.40 % (6777)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)
% 0.16/0.40 % (6779)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.40 % (6778)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)
% 0.16/0.40 % (6781)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)
% 0.16/0.40 % (6776)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.16/0.40 % (6780)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)
% 0.16/0.40 % (6782)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.16/0.40 % (6783)Instruction limit reached!
% 0.16/0.40 % (6783)------------------------------
% 0.16/0.40 % (6783)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40 % (6783)Termination reason: Unknown
% 0.16/0.40 % (6783)Termination phase: shuffling
% 0.16/0.40
% 0.16/0.40 % (6783)Memory used [KB]: 1279
% 0.16/0.40 % (6783)Time elapsed: 0.004 s
% 0.16/0.40 % (6783)Instructions burned: 5 (million)
% 0.16/0.40 % (6783)------------------------------
% 0.16/0.40 % (6783)------------------------------
% 0.16/0.40 % (6779)Instruction limit reached!
% 0.16/0.40 % (6779)------------------------------
% 0.16/0.40 % (6779)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40 % (6779)Termination reason: Unknown
% 0.16/0.40 % (6779)Termination phase: shuffling
% 0.16/0.40 % (6780)Instruction limit reached!
% 0.16/0.40 % (6780)------------------------------
% 0.16/0.40 % (6780)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40
% 0.16/0.40 % (6779)Memory used [KB]: 1279
% 0.16/0.40 % (6779)Time elapsed: 0.004 s
% 0.16/0.40 % (6779)Instructions burned: 3 (million)
% 0.16/0.40 % (6779)------------------------------
% 0.16/0.40 % (6779)------------------------------
% 0.16/0.40 % (6780)Termination reason: Unknown
% 0.16/0.40 % (6780)Termination phase: shuffling
% 0.16/0.40
% 0.16/0.40 % (6780)Memory used [KB]: 1279
% 0.16/0.40 % (6780)Time elapsed: 0.003 s
% 0.16/0.40 % (6780)Instructions burned: 3 (million)
% 0.16/0.40 % (6780)------------------------------
% 0.16/0.40 % (6780)------------------------------
% 0.16/0.40 % (6777)Instruction limit reached!
% 0.16/0.40 % (6777)------------------------------
% 0.16/0.40 % (6777)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40 % (6777)Termination reason: Unknown
% 0.16/0.40 % (6777)Termination phase: shuffling
% 0.16/0.40
% 0.16/0.40 % (6777)Memory used [KB]: 1407
% 0.16/0.40 % (6777)Time elapsed: 0.004 s
% 0.16/0.40 % (6777)Instructions burned: 5 (million)
% 0.16/0.40 % (6777)------------------------------
% 0.16/0.40 % (6777)------------------------------
% 0.23/0.41 % (6782)Instruction limit reached!
% 0.23/0.41 % (6782)------------------------------
% 0.23/0.41 % (6782)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.41 % (6782)Termination reason: Unknown
% 0.23/0.41 % (6782)Termination phase: Property scanning
% 0.23/0.41
% 0.23/0.41 % (6782)Memory used [KB]: 1663
% 0.23/0.41 % (6782)Time elapsed: 0.013 s
% 0.23/0.41 % (6782)Instructions burned: 19 (million)
% 0.23/0.41 % (6782)------------------------------
% 0.23/0.41 % (6782)------------------------------
% 0.23/0.42 % (6778)Instruction limit reached!
% 0.23/0.42 % (6778)------------------------------
% 0.23/0.42 % (6778)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.42 % (6778)Termination reason: Unknown
% 0.23/0.42 % (6778)Termination phase: Property scanning
% 0.23/0.42
% 0.23/0.42 % (6778)Memory used [KB]: 1791
% 0.23/0.42 % (6778)Time elapsed: 0.016 s
% 0.23/0.42 % (6778)Instructions burned: 28 (million)
% 0.23/0.42 % (6778)------------------------------
% 0.23/0.42 % (6778)------------------------------
% 0.23/0.42 % (6784)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)
% 0.23/0.42 % (6785)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)
% 0.23/0.42 % (6786)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)
% 0.23/0.42 % (6786)Instruction limit reached!
% 0.23/0.42 % (6786)------------------------------
% 0.23/0.42 % (6786)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.42 % (6786)Termination reason: Unknown
% 0.23/0.42 % (6786)Termination phase: shuffling
% 0.23/0.42
% 0.23/0.42 % (6786)Memory used [KB]: 1279
% 0.23/0.42 % (6786)Time elapsed: 0.004 s
% 0.23/0.42 % (6786)Instructions burned: 3 (million)
% 0.23/0.42 % (6786)------------------------------
% 0.23/0.42 % (6786)------------------------------
% 0.23/0.43 % (6785)Instruction limit reached!
% 0.23/0.43 % (6785)------------------------------
% 0.23/0.43 % (6785)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.43 % (6785)Termination reason: Unknown
% 0.23/0.43 % (6785)Termination phase: Property scanning
% 0.23/0.43
% 0.23/0.43 % (6785)Memory used [KB]: 1663
% 0.23/0.43 % (6785)Time elapsed: 0.012 s
% 0.23/0.43 % (6785)Instructions burned: 16 (million)
% 0.23/0.43 % (6785)------------------------------
% 0.23/0.43 % (6785)------------------------------
% 0.23/0.43 % (6788)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.23/0.43 % (6787)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)
% 0.23/0.43 % (6788)Instruction limit reached!
% 0.23/0.43 % (6788)------------------------------
% 0.23/0.43 % (6788)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.43 % (6788)Termination reason: Unknown
% 0.23/0.43 % (6788)Termination phase: shuffling
% 0.23/0.43
% 0.23/0.43 % (6788)Memory used [KB]: 1407
% 0.23/0.43 % (6788)Time elapsed: 0.006 s
% 0.23/0.43 % (6788)Instructions burned: 7 (million)
% 0.23/0.43 % (6788)------------------------------
% 0.23/0.43 % (6788)------------------------------
% 0.23/0.43 % (6784)Instruction limit reached!
% 0.23/0.43 % (6784)------------------------------
% 0.23/0.43 % (6784)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.43 % (6784)Termination reason: Unknown
% 0.23/0.43 % (6784)Termination phase: Property scanning
% 0.23/0.43
% 0.23/0.43 % (6784)Memory used [KB]: 1791
% 0.23/0.43 % (6784)Time elapsed: 0.018 s
% 0.23/0.43 % (6784)Instructions burned: 37 (million)
% 0.23/0.43 % (6784)------------------------------
% 0.23/0.43 % (6784)------------------------------
% 0.23/0.43 % (6789)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.23/0.43 % (6790)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)
% 0.23/0.44 % (6790)Instruction limit reached!
% 0.23/0.44 % (6790)------------------------------
% 0.23/0.44 % (6790)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44 % (6790)Termination reason: Unknown
% 0.23/0.44 % (6790)Termination phase: shuffling
% 0.23/0.44
% 0.23/0.44 % (6790)Memory used [KB]: 1279
% 0.23/0.44 % (6790)Time elapsed: 0.004 s
% 0.23/0.44 % (6790)Instructions burned: 3 (million)
% 0.23/0.44 % (6790)------------------------------
% 0.23/0.44 % (6790)------------------------------
% 0.23/0.44 % (6789)Instruction limit reached!
% 0.23/0.44 % (6789)------------------------------
% 0.23/0.44 % (6789)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44 % (6789)Termination reason: Unknown
% 0.23/0.44 % (6789)Termination phase: shuffling
% 0.23/0.44
% 0.23/0.44 % (6789)Memory used [KB]: 1663
% 0.23/0.44 % (6789)Time elapsed: 0.010 s
% 0.23/0.44 % (6789)Instructions burned: 16 (million)
% 0.23/0.44 % (6789)------------------------------
% 0.23/0.44 % (6789)------------------------------
% 0.23/0.44 % (6791)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)
% 0.23/0.44 % (6791)Instruction limit reached!
% 0.23/0.44 % (6791)------------------------------
% 0.23/0.44 % (6791)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44 % (6791)Termination reason: Unknown
% 0.23/0.44 % (6791)Termination phase: shuffling
% 0.23/0.44
% 0.23/0.44 % (6791)Memory used [KB]: 1279
% 0.23/0.44 % (6791)Time elapsed: 0.004 s
% 0.23/0.44 % (6791)Instructions burned: 4 (million)
% 0.23/0.44 % (6791)------------------------------
% 0.23/0.44 % (6791)------------------------------
% 0.23/0.45 % (6793)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)
% 0.23/0.45 % (6792)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)
% 0.23/0.45 % (6793)Instruction limit reached!
% 0.23/0.45 % (6793)------------------------------
% 0.23/0.45 % (6793)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.45 % (6793)Termination reason: Unknown
% 0.23/0.45 % (6793)Termination phase: shuffling
% 0.23/0.45
% 0.23/0.45 % (6793)Memory used [KB]: 1407
% 0.23/0.45 % (6793)Time elapsed: 0.003 s
% 0.23/0.45 % (6793)Instructions burned: 5 (million)
% 0.23/0.45 % (6793)------------------------------
% 0.23/0.45 % (6793)------------------------------
% 0.23/0.45 % (6792)Instruction limit reached!
% 0.23/0.45 % (6792)------------------------------
% 0.23/0.45 % (6792)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.45 % (6792)Termination reason: Unknown
% 0.23/0.45 % (6792)Termination phase: shuffling
% 0.23/0.45
% 0.23/0.45 % (6792)Memory used [KB]: 1407
% 0.23/0.45 % (6792)Time elapsed: 0.006 s
% 0.23/0.45 % (6792)Instructions burned: 7 (million)
% 0.23/0.45 % (6792)------------------------------
% 0.23/0.45 % (6792)------------------------------
% 0.23/0.45 % (6794)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.23/0.45 % (6794)Instruction limit reached!
% 0.23/0.45 % (6794)------------------------------
% 0.23/0.45 % (6794)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.45 % (6794)Termination reason: Unknown
% 0.23/0.45 % (6794)Termination phase: shuffling
% 0.23/0.45
% 0.23/0.45 % (6794)Memory used [KB]: 1407
% 0.23/0.45 % (6794)Time elapsed: 0.005 s
% 0.23/0.45 % (6794)Instructions burned: 5 (million)
% 0.23/0.45 % (6794)------------------------------
% 0.23/0.45 % (6794)------------------------------
% 0.23/0.46 % (6797)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.23/0.46 % (6797)Instruction limit reached!
% 0.23/0.46 % (6797)------------------------------
% 0.23/0.46 % (6797)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.46 % (6797)Termination reason: Unknown
% 0.23/0.46 % (6797)Termination phase: shuffling
% 0.23/0.46
% 0.23/0.46 % (6797)Memory used [KB]: 1407
% 0.23/0.46 % (6797)Time elapsed: 0.004 s
% 0.23/0.46 % (6797)Instructions burned: 9 (million)
% 0.23/0.46 % (6797)------------------------------
% 0.23/0.46 % (6797)------------------------------
% 0.23/0.46 % (6796)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.23/0.46 % (6795)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)
% 0.23/0.47 % (6798)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)
% 0.23/0.47 % (6800)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.23/0.47 % (6800)Instruction limit reached!
% 0.23/0.47 % (6800)------------------------------
% 0.23/0.47 % (6800)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.47 % (6800)Termination reason: Unknown
% 0.23/0.47 % (6800)Termination phase: shuffling
% 0.23/0.47
% 0.23/0.47 % (6800)Memory used [KB]: 1407
% 0.23/0.47 % (6800)Time elapsed: 0.003 s
% 0.23/0.47 % (6800)Instructions burned: 6 (million)
% 0.23/0.47 % (6800)------------------------------
% 0.23/0.47 % (6800)------------------------------
% 0.23/0.47 % (6799)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)
% 0.23/0.48 % (6801)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 (2999ds/6Mi)
% 0.23/0.48 % (6795)Instruction limit reached!
% 0.23/0.48 % (6795)------------------------------
% 0.23/0.48 % (6795)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.48 % (6795)Termination reason: Unknown
% 0.23/0.48 % (6795)Termination phase: shuffling
% 0.23/0.48
% 0.23/0.48 % (6795)Memory used [KB]: 1663
% 0.23/0.48 % (6795)Time elapsed: 0.014 s
% 0.23/0.48 % (6795)Instructions burned: 18 (million)
% 0.23/0.48 % (6795)------------------------------
% 0.23/0.48 % (6795)------------------------------
% 0.23/0.48 % (6801)Instruction limit reached!
% 0.23/0.48 % (6801)------------------------------
% 0.23/0.48 % (6801)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.48 % (6801)Termination reason: Unknown
% 0.23/0.48 % (6801)Termination phase: shuffling
% 0.23/0.48
% 0.23/0.48 % (6801)Memory used [KB]: 1407
% 0.23/0.48 % (6801)Time elapsed: 0.003 s
% 0.23/0.48 % (6801)Instructions burned: 6 (million)
% 0.23/0.48 % (6801)------------------------------
% 0.23/0.48 % (6801)------------------------------
% 0.23/0.48 % (6799)Instruction limit reached!
% 0.23/0.48 % (6799)------------------------------
% 0.23/0.48 % (6799)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.48 % (6799)Termination reason: Unknown
% 0.23/0.48 % (6799)Termination phase: shuffling
% 0.23/0.48
% 0.23/0.48 % (6799)Memory used [KB]: 1663
% 0.23/0.48 % (6799)Time elapsed: 0.013 s
% 0.23/0.48 % (6799)Instructions burned: 22 (million)
% 0.23/0.48 % (6799)------------------------------
% 0.23/0.48 % (6799)------------------------------
% 0.23/0.48 % (6803)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 (2999ds/779Mi)
% 0.23/0.49 % (6802)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.23/0.49 % (6776)Instruction limit reached!
% 0.23/0.49 % (6776)------------------------------
% 0.23/0.49 % (6776)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.49 % (6776)Termination reason: Unknown
% 0.23/0.49 % (6776)Termination phase: Saturation
% 0.23/0.49
% 0.23/0.49 % (6776)Memory used [KB]: 7547
% 0.23/0.49 % (6776)Time elapsed: 0.092 s
% 0.23/0.49 % (6776)Instructions burned: 183 (million)
% 0.23/0.49 % (6776)------------------------------
% 0.23/0.49 % (6776)------------------------------
% 0.23/0.49 % (6804)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 (2999ds/19Mi)
% 0.23/0.50 % (6804)Instruction limit reached!
% 0.23/0.50 % (6804)------------------------------
% 0.23/0.50 % (6804)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.50 % (6804)Termination reason: Unknown
% 0.23/0.50 % (6804)Termination phase: shuffling
% 0.23/0.50
% 0.23/0.50 % (6804)Memory used [KB]: 1663
% 0.23/0.50 % (6804)Time elapsed: 0.009 s
% 0.23/0.50 % (6804)Instructions burned: 20 (million)
% 0.23/0.50 % (6804)------------------------------
% 0.23/0.50 % (6804)------------------------------
% 0.23/0.50 % (6805)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)
% 0.23/0.51 % (6806)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.23/0.51 % (6806)Instruction limit reached!
% 0.23/0.51 % (6806)------------------------------
% 0.23/0.51 % (6806)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.51 % (6806)Termination reason: Unknown
% 0.23/0.51 % (6806)Termination phase: shuffling
% 0.23/0.51
% 0.23/0.51 % (6806)Memory used [KB]: 1663
% 0.23/0.51 % (6806)Time elapsed: 0.007 s
% 0.23/0.51 % (6806)Instructions burned: 17 (million)
% 0.23/0.51 % (6806)------------------------------
% 0.23/0.51 % (6806)------------------------------
% 0.23/0.52 % (6807)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.23/0.52 % (6807)Instruction limit reached!
% 0.23/0.52 % (6807)------------------------------
% 0.23/0.52 % (6807)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.52 % (6807)Termination reason: Unknown
% 0.23/0.52 % (6807)Termination phase: shuffling
% 0.23/0.52
% 0.23/0.53 % (6807)Memory used [KB]: 1407
% 0.23/0.53 % (6807)Time elapsed: 0.003 s
% 0.23/0.53 % (6807)Instructions burned: 6 (million)
% 0.23/0.53 % (6807)------------------------------
% 0.23/0.53 % (6807)------------------------------
% 0.23/0.53 % (6808)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.23/0.54 % (6781)Instruction limit reached!
% 0.23/0.54 % (6781)------------------------------
% 0.23/0.54 % (6781)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.54 % (6781)Termination reason: Unknown
% 0.23/0.54 % (6781)Termination phase: Saturation
% 0.23/0.54
% 0.23/0.54 % (6781)Memory used [KB]: 8315
% 0.23/0.54 % (6781)Time elapsed: 0.140 s
% 0.23/0.54 % (6781)Instructions burned: 276 (million)
% 0.23/0.54 % (6781)------------------------------
% 0.23/0.54 % (6781)------------------------------
% 0.23/0.54 % (6808)Instruction limit reached!
% 0.23/0.54 % (6808)------------------------------
% 0.23/0.54 % (6808)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.54 % (6808)Termination reason: Unknown
% 0.23/0.54 % (6808)Termination phase: Property scanning
% 0.23/0.54
% 0.23/0.54 % (6808)Memory used [KB]: 1791
% 0.23/0.54 % (6808)Time elapsed: 0.010 s
% 0.23/0.54 % (6808)Instructions burned: 30 (million)
% 0.23/0.54 % (6808)------------------------------
% 0.23/0.54 % (6808)------------------------------
% 0.23/0.55 % (6809)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)
% 0.23/0.55 % (6810)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)
% 0.23/0.57 % (6798)First to succeed.
% 1.60/0.57 % (6798)Refutation found. Thanks to Tanya!
% 1.60/0.57 % SZS status Theorem for theBenchmark
% 1.60/0.57 % SZS output start Proof for theBenchmark
% 1.60/0.57 thf(func_def_0, type, in: $i > $i > $o).
% 1.60/0.57 thf(func_def_1, type, exu: ($i > $o) > $o).
% 1.60/0.57 thf(func_def_6, type, setadjoin: $i > $i > $i).
% 1.60/0.57 thf(func_def_8, type, powerset: $i > $i).
% 1.60/0.57 thf(func_def_10, type, setunion: $i > $i).
% 1.60/0.57 thf(func_def_19, type, descr: ($i > $o) > $i).
% 1.60/0.57 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i).
% 1.60/0.57 thf(func_def_26, type, prop2set: $o > $i).
% 1.60/0.57 thf(func_def_36, type, nonempty: $i > $o).
% 1.60/0.57 thf(func_def_69, type, set2prop: $i > $o).
% 1.60/0.57 thf(func_def_88, type, subset: $i > $i > $o).
% 1.60/0.57 thf(func_def_89, type, disjoint: $i > $i > $o).
% 1.60/0.57 thf(func_def_90, type, setsmeet: $i > $i > $o).
% 1.60/0.57 thf(func_def_114, type, binunion: $i > $i > $i).
% 1.60/0.57 thf(func_def_122, type, binintersect: $i > $i > $i).
% 1.60/0.57 thf(func_def_135, type, regular: $i > $o).
% 1.60/0.57 thf(func_def_136, type, setminus: $i > $i > $i).
% 1.60/0.57 thf(func_def_147, type, symdiff: $i > $i > $i).
% 1.60/0.57 thf(func_def_153, type, iskpair: $i > $o).
% 1.60/0.57 thf(func_def_158, type, kpair: $i > $i > $i).
% 1.60/0.57 thf(func_def_160, type, cartprod: $i > $i > $i).
% 1.60/0.57 thf(func_def_177, type, singleton: $i > $o).
% 1.60/0.57 thf(func_def_179, type, ex1: $i > ($i > $o) > $o).
% 1.60/0.57 thf(func_def_184, type, atmost1p: $i > $o).
% 1.60/0.57 thf(func_def_185, type, atleast2p: $i > $o).
% 1.60/0.57 thf(func_def_186, type, atmost2p: $i > $o).
% 1.60/0.57 thf(func_def_187, type, upairsetp: $i > $o).
% 1.60/0.57 thf(func_def_191, type, kfst: $i > $i).
% 1.60/0.57 thf(func_def_203, type, ksnd: $i > $i).
% 1.60/0.57 thf(func_def_221, type, sP2: $i > $i > $o).
% 1.60/0.57 thf(func_def_222, type, sP3: $i > $o).
% 1.60/0.57 thf(func_def_223, type, sP4: $i > $i > $o).
% 1.60/0.57 thf(func_def_224, type, sP5: $i > $i > $o).
% 1.60/0.57 thf(func_def_225, type, sP6: $o > $i > $i > $i > $o).
% 1.60/0.57 thf(func_def_229, type, sK10: $i > $i > $i).
% 1.60/0.57 thf(func_def_234, type, sK15: $i > $i > $i).
% 1.60/0.57 thf(func_def_259, type, sK40: $i > $i).
% 1.60/0.57 thf(func_def_260, type, sK41: $i > $i).
% 1.60/0.57 thf(func_def_261, type, sK42: $i > $o).
% 1.60/0.57 thf(func_def_270, type, sK51: $i > $o).
% 1.60/0.57 thf(func_def_272, type, sK53: ($i > $o) > $i).
% 1.60/0.57 thf(func_def_273, type, sK54: ($i > $o) > $i).
% 1.60/0.57 thf(func_def_274, type, sK55: $i > $o).
% 1.60/0.57 thf(func_def_296, type, sK77: $i > $o).
% 1.60/0.57 thf(func_def_297, type, sK78: $i > $i).
% 1.60/0.57 thf(func_def_298, type, sK79: ($i > $o) > $i).
% 1.60/0.57 thf(func_def_300, type, sK81: $i > $o).
% 1.60/0.57 thf(func_def_306, type, sK87: $i > $o).
% 1.60/0.57 thf(func_def_309, type, sK90: $i > $o).
% 1.60/0.57 thf(func_def_312, type, sK93: $i > ($i > $o) > $i).
% 1.60/0.57 thf(func_def_325, type, sK106: $i > $i > $i).
% 1.60/0.57 thf(func_def_330, type, sK111: $i > $o).
% 1.60/0.57 thf(func_def_340, type, sK121: $i > $o).
% 1.60/0.57 thf(func_def_343, type, sK124: $i > ($i > $o) > $i).
% 1.60/0.57 thf(func_def_344, type, sK125: $i > ($i > $o) > $i).
% 1.60/0.57 thf(func_def_346, type, sK127: $i > $o).
% 1.60/0.57 thf(func_def_348, type, sK129: $i > ($i > $o) > $i).
% 1.60/0.57 thf(func_def_375, type, sK156: $i > $o).
% 1.60/0.57 thf(func_def_378, type, sK159: $i > ($i > $o) > $i).
% 1.60/0.57 thf(func_def_379, type, sK160: $i > ($i > $o) > $i).
% 1.60/0.57 thf(func_def_383, type, sK164: $i > $i > $i).
% 1.60/0.57 thf(func_def_384, type, sK165: $i > $i > $i).
% 1.60/0.57 thf(func_def_385, type, sK166: $i > $i > $i).
% 1.60/0.57 thf(func_def_386, type, sK167: $i > $i > $i).
% 1.60/0.57 thf(func_def_387, type, sK168: $i > $i > $i > $i).
% 1.60/0.57 thf(func_def_388, type, sK169: $i > $i).
% 1.60/0.57 thf(func_def_389, type, sK170: $i > $i).
% 1.60/0.57 thf(func_def_390, type, sK171: $i > $i).
% 1.60/0.57 thf(func_def_391, type, sK172: $i > $i).
% 1.60/0.57 thf(func_def_392, type, sK173: $i > $i > $i).
% 1.60/0.57 thf(func_def_393, type, sK174: $i > $i > $i > $i).
% 1.60/0.57 thf(func_def_394, type, sK175: $i > $i > $i > $i).
% 1.60/0.57 thf(func_def_395, type, sK176: $i > $i > $i).
% 1.60/0.57 thf(func_def_396, type, sK177: $i > $i > $i).
% 1.60/0.57 thf(func_def_397, type, sK178: $i > $i).
% 1.60/0.57 thf(func_def_398, type, sK179: $i > $i > $i).
% 1.60/0.57 thf(func_def_400, type, sK181: $i > $i).
% 1.60/0.57 thf(func_def_401, type, sK182: $i > $i).
% 1.60/0.57 thf(func_def_404, type, sK185: $i > $i > $i).
% 1.60/0.57 thf(func_def_424, type, sK205: $i > $o).
% 1.60/0.57 thf(func_def_427, type, sK208: $i > $i > ($i > $o) > $i).
% 1.60/0.57 thf(func_def_432, type, sK213: $i > $o).
% 1.60/0.57 thf(func_def_434, type, sK215: $i > $i > $i).
% 1.60/0.57 thf(func_def_438, type, sK219: $o > $i > $i > $i).
% 1.60/0.57 thf(func_def_446, type, sK227: $i > $i).
% 1.60/0.57 thf(func_def_461, type, sK242: $i > $o).
% 1.60/0.57 thf(func_def_476, type, sK257: ($i > $o) > ($i > $o) > $i).
% 1.60/0.57 thf(func_def_477, type, sK258: ($i > $o) > ($i > $o) > $i).
% 1.60/0.57 thf(func_def_478, type, sK259: $i > $o).
% 1.60/0.57 thf(func_def_479, type, sK260: $i > $o).
% 1.60/0.57 thf(func_def_484, type, sK265: $i > $o).
% 1.60/0.57 thf(func_def_485, type, sK266: $i > $o).
% 1.60/0.57 thf(func_def_486, type, sK267: ($i > $o) > ($i > $o) > $i).
% 1.60/0.57 thf(func_def_487, type, sK268: ($i > $o) > ($i > $o) > $i).
% 1.60/0.57 thf(func_def_490, type, sK271: $i > $i > $i).
% 1.60/0.57 thf(func_def_517, type, sK298: $i > $i).
% 1.60/0.57 thf(func_def_534, type, sK315: $i > $o).
% 1.60/0.57 thf(func_def_535, type, sK316: $i > $i).
% 1.60/0.57 thf(func_def_536, type, sK317: ($i > $o) > $i).
% 1.60/0.57 thf(func_def_538, type, sK319: $i > $o).
% 1.60/0.57 thf(func_def_540, type, sK321: ($i > $o) > $i > $i).
% 1.60/0.57 thf(func_def_543, type, sK324: $i > ($i > $o) > $i).
% 1.60/0.57 thf(func_def_544, type, sK325: $i > $o).
% 1.60/0.57 thf(func_def_547, type, sK328: $i > $i).
% 1.60/0.57 thf(func_def_558, type, sK339: $i > $i > $i).
% 1.60/0.57 thf(func_def_561, type, sK342: $i > $i > $i).
% 1.60/0.57 thf(func_def_573, type, sK354: ($i > $o) > $i > $i).
% 1.60/0.57 thf(func_def_575, type, sK356: $i > $o).
% 1.60/0.57 thf(func_def_578, type, sK359: $i > $o).
% 1.60/0.57 thf(func_def_602, type, sK383: $i > $o).
% 1.60/0.57 thf(func_def_604, type, sK385: ($i > $o) > $i > $i).
% 1.60/0.57 thf(func_def_614, type, sK395: $i > ($i > $o) > $i).
% 1.60/0.57 thf(func_def_615, type, sK396: $i > $o).
% 1.60/0.57 thf(func_def_617, type, sK398: $i > $o).
% 1.60/0.57 thf(func_def_619, type, sK400: $i > ($i > $o) > $i).
% 1.60/0.57 thf(func_def_620, type, sK401: $i > $o).
% 1.60/0.57 thf(func_def_623, type, sK404: $i > $o).
% 1.60/0.57 thf(func_def_626, type, sK407: $i > $o).
% 1.60/0.57 thf(func_def_628, type, sK409: $i > $i > $o).
% 1.60/0.57 thf(func_def_630, type, sK411: $i > $i).
% 1.60/0.57 thf(func_def_631, type, sK412: $i > $i).
% 1.60/0.57 thf(func_def_632, type, sK413: $i > ($i > $i > $o) > $i).
% 1.60/0.57 thf(func_def_633, type, sK414: $i > ($i > $i > $o) > $i).
% 1.60/0.57 thf(func_def_634, type, sK415: $i > $i > ($i > $i > $o) > $i).
% 1.60/0.57 thf(func_def_637, type, sK418: $i > $o).
% 1.60/0.57 thf(func_def_640, type, sK421: $i > $o).
% 1.60/0.57 thf(func_def_641, type, sK422: ($i > $o) > $i).
% 1.60/0.57 thf(func_def_662, type, sK443: $i > $i > $i).
% 1.60/0.57 thf(func_def_663, type, sK444: $i > $i > $i).
% 1.60/0.57 thf(func_def_671, type, sK452: $i > $o).
% 1.60/0.57 thf(func_def_672, type, sK453: $i > $o).
% 1.60/0.57 thf(func_def_673, type, sK454: ($i > $o) > ($i > $o) > $i > $i > $i).
% 1.60/0.57 thf(func_def_674, type, sK455: ($i > $o) > ($i > $o) > $i > $i > $i).
% 1.60/0.57 thf(func_def_684, type, sK465: $i > $i).
% 1.60/0.57 thf(func_def_685, type, sK466: $i > $i).
% 1.60/0.57 thf(func_def_687, type, sK468: $i > $i > $i > $i).
% 1.60/0.57 thf(func_def_688, type, sK469: $i > $i > $i > $i).
% 1.60/0.57 thf(func_def_696, type, sK477: $i > $o).
% 1.60/0.57 thf(func_def_699, type, sK480: $i > ($i > $o) > $i).
% 1.60/0.57 thf(func_def_710, type, ph491: !>[X0: $tType]:(X0)).
% 1.60/0.57 thf(f3966,plain,(
% 1.60/0.57 $false),
% 1.60/0.57 inference(avatar_sat_refutation,[],[f3964,f3965])).
% 1.60/0.57 thf(f3965,plain,(
% 1.60/0.57 spl490_23),
% 1.60/0.57 inference(avatar_split_clause,[],[f2785,f3236])).
% 1.60/0.57 thf(f3236,plain,(
% 1.60/0.57 spl490_23 <=> ($true = (in @ sK134 @ sK137))),
% 1.60/0.57 introduced(avatar_definition,[new_symbols(naming,[spl490_23])])).
% 1.60/0.57 thf(f2785,plain,(
% 1.60/0.57 ($true = (in @ sK134 @ sK137))),
% 1.60/0.57 inference(trivial_inequality_removal,[],[f2784])).
% 1.60/0.57 thf(f2784,plain,(
% 1.60/0.57 ($true = (in @ sK134 @ sK137)) | ($true != $true)),
% 1.60/0.57 inference(forward_demodulation,[],[f2779,f1879])).
% 1.60/0.57 thf(f1879,plain,(
% 1.60/0.57 (kfstpairEq = $true)),
% 1.60/0.57 inference(cnf_transformation,[],[f984])).
% 1.60/0.57 thf(f984,plain,(
% 1.60/0.57 (setukpairinjR11 = $true) & (setukpairinjL1 = $true) & (subsetRefl = $true) & (foundationAx = $true) & (setadjoinAx = $true) & (notdallE = $true) & (ex1I = $true) & (setunionsingleton1 = $true) & (binintersectSubset3 = $true) & (subsetE2 = $true) & (notequalI1 = $true) & (binunionIL = $true) & (powersetI1 = $true) & (upairsetIL = $true) & (emptysetsubset = $true) & (setukpairinjR12 = $true) & (binunionIR = $true) & (setadjoinSub2 = $true) & (upairset2E = $true) & (kfstsingleton = $true) & (setadjoinIL = $true) & (ksndsingleton = $true) & (notequalI2 = $true) & (setadjoinOr = $true) & (quantDeMorgan3 = $true) & (cartprodmempair1 = $true) & (powersetE = $true) & (quantDeMorgan1 = $true) & (setadjoin__Cong = $true) & (singletoninpowunion = $true) & (noeltsimpempty = $true) & (kpairsurjEq = $true) & (symdiffI2 = $true) & (powersetE1 = $true) & (binintersectER = $true) & (emptyinunitempty = $true) & (descrp = $true) & (setunionsingleton2 = $true) & (exuE3u = $true) & (sepInPowerset = $true) & (kfstpairEq = $true) & (exuE2 = $true) & (upairinpowunion = $true) & (singletonprop = $true) & (upairset2IR = $true) & (setukpairinjL2 = $true) & (binintersectI = $true) & (descr__Cong = $true) & (powersetsubset = $true) & (cartprodmempair = $true) & (binintersectSubset5 = $true) & (setextAx = $true) & (($true != (in @ sK134 @ sK137)) & ($true = (in @ (kpair @ sK134 @ sK136) @ (cartprod @ sK137 @ sK135)))) & (upairsetE = $true) & (setukpairIL = $true) & (binintersectRsub = $true) & (nonemptyE1 = $true) & (singletoninpowerset = $true) & (setukpairinjL = $true) & (dsetconstr__Cong = $true) & (symdiffI1 = $true) & (omegaSAx = $true) & (vacuousDall = $true) & (subsetI2 = $true) & (prop2setE = $true) & (theprop = $true) & (setukpairinjR1 = $true) & (inPowerset = $true) & (setunionAx = $true) & (binunionEcases = $true) & (powersetAx = $true) & (eqimpsubset2 = $true) & (sepSubset = $true) & (cartprodfstin = $true) & (eqimpsubset1 = $true) & (setadjoinSub = $true) & (setunionI = $true) & (upairsubunion = $true) & (ubforcartprodlem2 = $true) & (replAx = $true) & (upairequniteq = $true) & (binunionE = $true) & (wellorderingAx = $true) & (binintersectSubset1 = $true) & (exuE3e = $true) & (binintersectEL = $true) & (prop2set2propI = $true) & (exuI1 = $true) & (setadjoinIR = $true) & (prop2setI = $true) & (powerset__Cong = $true) & (symdiffIneg2 = $true) & (notsubsetI = $true) & (ubforcartprodlem3 = $true) & (emptyE1 = $true) & (setminusER = $true) & (notinsingleton = $true) & (inCongP = $true) & (omega__Cong = $true) & (setadjoinE = $true) & (ex1I2 = $true) & (emptyInPowerset = $true) & (emptyset__Cong = $true) & (symdiffIneg1 = $true) & (dsetconstrI = $true) & (setunion__Cong = $true) & (binintersectSubset4 = $true) & (setminusELneg = $true) & (in__Cong = $true) & (subsetE = $true) & (kpairp = $true) & (setminusILneg = $true) & (setunionE = $true) & (setminusEL = $true) & (exuI2 = $true) & (omegaIndAx = $true) & (emptysetE = $true) & (setminusERneg = $true) & (eqinunit = $true) & (setextsub = $true) & (emptyI = $true) & (uniqinunit = $true) & (setminusIRneg = $true) & (nonemptyI = $true) & (setukpairinjR = $true) & (subsetI1 = $true) & (quantDeMorgan2 = $true) & (binintersectSubset2 = $true) & (nonemptyImpWitness = $true) & (emptyinPowerset = $true) & (singletonsubset = $true) & (subPowSU = $true) & (ex1E1 = $true) & (setbeta = $true) & (powersetI = $true) & (bs114d = $true) & (omega0Ax = $true) & (notdexE = $true) & (quantDeMorgan4 = $true) & (nonemptyI1 = $true) & (singletonsswitch = $true) & (setunionsingleton = $true) & (setminusSubset2 = $true) & (setminusI = $true) & (cartprodpairin = $true) & (dsetconstrEL = $true) & (subsetTrans = $true) & (singletonsuniq = $true) & (binunionLsub = $true) & (setukpairIR = $true) & (exuI3 = $true) & (cartprodsndin = $true) & (emptysetAx = $true) & (disjointsetsI1 = $true) & (setext = $true) & (subset2powerset = $true) & (ubforcartprodlem1 = $true) & (exu__Cong = $true) & (notinemptyset = $true) & (binunionRsub = $true) & (dsetconstrER = $true) & (symdiffE = $true) & (upairsetIR = $true) & (setminusSubset1 = $true) & (setoftrueEq = $true) & (exuEu = $true) & (kpairiskpair = $true) & (setminusLsub = $true) & (binintersectLsub = $true) & (setunionE2 = $true) & (setukpairinjR2 = $true) & (ksndpairEq = $true) & (exuE1 = $true) & (emptysetimpfalse = $true) & (secondinupair = $true) & (subsetemptysetimpeq = $true)),
% 1.60/0.57 inference(skolemisation,[status(esa),new_symbols(skolem,[sK134,sK135,sK136,sK137])],[f615,f983])).
% 1.60/0.57 thf(f983,plain,(
% 1.60/0.57 ? [X0,X1,X2,X3] : (($true != (in @ X0 @ X3)) & ($true = (in @ (kpair @ X0 @ X2) @ (cartprod @ X3 @ X1)))) => (($true != (in @ sK134 @ sK137)) & ($true = (in @ (kpair @ sK134 @ sK136) @ (cartprod @ sK137 @ sK135))))),
% 1.60/0.57 introduced(choice_axiom,[])).
% 1.60/0.57 thf(f615,plain,(
% 1.60/0.57 (setukpairinjR11 = $true) & (setukpairinjL1 = $true) & (subsetRefl = $true) & (foundationAx = $true) & (setadjoinAx = $true) & (notdallE = $true) & (ex1I = $true) & (setunionsingleton1 = $true) & (binintersectSubset3 = $true) & (subsetE2 = $true) & (notequalI1 = $true) & (binunionIL = $true) & (powersetI1 = $true) & (upairsetIL = $true) & (emptysetsubset = $true) & (setukpairinjR12 = $true) & (binunionIR = $true) & (setadjoinSub2 = $true) & (upairset2E = $true) & (kfstsingleton = $true) & (setadjoinIL = $true) & (ksndsingleton = $true) & (notequalI2 = $true) & (setadjoinOr = $true) & (quantDeMorgan3 = $true) & (cartprodmempair1 = $true) & (powersetE = $true) & (quantDeMorgan1 = $true) & (setadjoin__Cong = $true) & (singletoninpowunion = $true) & (noeltsimpempty = $true) & (kpairsurjEq = $true) & (symdiffI2 = $true) & (powersetE1 = $true) & (binintersectER = $true) & (emptyinunitempty = $true) & (descrp = $true) & (setunionsingleton2 = $true) & (exuE3u = $true) & (sepInPowerset = $true) & (kfstpairEq = $true) & (exuE2 = $true) & (upairinpowunion = $true) & (singletonprop = $true) & (upairset2IR = $true) & (setukpairinjL2 = $true) & (binintersectI = $true) & (descr__Cong = $true) & (powersetsubset = $true) & (cartprodmempair = $true) & (binintersectSubset5 = $true) & (setextAx = $true) & ? [X0,X1,X2,X3] : (($true != (in @ X0 @ X3)) & ($true = (in @ (kpair @ X0 @ X2) @ (cartprod @ X3 @ X1)))) & (upairsetE = $true) & (setukpairIL = $true) & (binintersectRsub = $true) & (nonemptyE1 = $true) & (singletoninpowerset = $true) & (setukpairinjL = $true) & (dsetconstr__Cong = $true) & (symdiffI1 = $true) & (omegaSAx = $true) & (vacuousDall = $true) & (subsetI2 = $true) & (prop2setE = $true) & (theprop = $true) & (setukpairinjR1 = $true) & (inPowerset = $true) & (setunionAx = $true) & (binunionEcases = $true) & (powersetAx = $true) & (eqimpsubset2 = $true) & (sepSubset = $true) & (cartprodfstin = $true) & (eqimpsubset1 = $true) & (setadjoinSub = $true) & (setunionI = $true) & (upairsubunion = $true) & (ubforcartprodlem2 = $true) & (replAx = $true) & (upairequniteq = $true) & (binunionE = $true) & (wellorderingAx = $true) & (binintersectSubset1 = $true) & (exuE3e = $true) & (binintersectEL = $true) & (prop2set2propI = $true) & (exuI1 = $true) & (setadjoinIR = $true) & (prop2setI = $true) & (powerset__Cong = $true) & (symdiffIneg2 = $true) & (notsubsetI = $true) & (ubforcartprodlem3 = $true) & (emptyE1 = $true) & (setminusER = $true) & (notinsingleton = $true) & (inCongP = $true) & (omega__Cong = $true) & (setadjoinE = $true) & (ex1I2 = $true) & (emptyInPowerset = $true) & (emptyset__Cong = $true) & (symdiffIneg1 = $true) & (dsetconstrI = $true) & (setunion__Cong = $true) & (binintersectSubset4 = $true) & (setminusELneg = $true) & (in__Cong = $true) & (subsetE = $true) & (kpairp = $true) & (setminusILneg = $true) & (setunionE = $true) & (setminusEL = $true) & (exuI2 = $true) & (omegaIndAx = $true) & (emptysetE = $true) & (setminusERneg = $true) & (eqinunit = $true) & (setextsub = $true) & (emptyI = $true) & (uniqinunit = $true) & (setminusIRneg = $true) & (nonemptyI = $true) & (setukpairinjR = $true) & (subsetI1 = $true) & (quantDeMorgan2 = $true) & (binintersectSubset2 = $true) & (nonemptyImpWitness = $true) & (emptyinPowerset = $true) & (singletonsubset = $true) & (subPowSU = $true) & (ex1E1 = $true) & (setbeta = $true) & (powersetI = $true) & (bs114d = $true) & (omega0Ax = $true) & (notdexE = $true) & (quantDeMorgan4 = $true) & (nonemptyI1 = $true) & (singletonsswitch = $true) & (setunionsingleton = $true) & (setminusSubset2 = $true) & (setminusI = $true) & (cartprodpairin = $true) & (dsetconstrEL = $true) & (subsetTrans = $true) & (singletonsuniq = $true) & (binunionLsub = $true) & (setukpairIR = $true) & (exuI3 = $true) & (cartprodsndin = $true) & (emptysetAx = $true) & (disjointsetsI1 = $true) & (setext = $true) & (subset2powerset = $true) & (ubforcartprodlem1 = $true) & (exu__Cong = $true) & (notinemptyset = $true) & (binunionRsub = $true) & (dsetconstrER = $true) & (symdiffE = $true) & (upairsetIR = $true) & (setminusSubset1 = $true) & (setoftrueEq = $true) & (exuEu = $true) & (kpairiskpair = $true) & (setminusLsub = $true) & (binintersectLsub = $true) & (setunionE2 = $true) & (setukpairinjR2 = $true) & (ksndpairEq = $true) & (exuE1 = $true) & (emptysetimpfalse = $true) & (secondinupair = $true) & (subsetemptysetimpeq = $true)),
% 1.60/0.57 inference(flattening,[],[f614])).
% 1.60/0.57 thf(f614,plain,(
% 1.60/0.57 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1,X2,X3] : (($true != (in @ X0 @ X3)) & ($true = (in @ (kpair @ X0 @ X2) @ (cartprod @ X3 @ X1)))) & (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)),
% 1.60/0.57 inference(ennf_transformation,[],[f194])).
% 1.60/0.57 thf(f194,plain,(
% 1.60/0.57 ~((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 = $true) => ! [X0,X1,X2,X3] : (($true = (in @ (kpair @ X0 @ X2) @ (cartprod @ X3 @ X1))) => ($true = (in @ X0 @ X3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 1.60/0.57 inference(fool_elimination,[],[f193])).
% 1.60/0.57 thf(f193,plain,(
% 1.60/0.57 ~(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 => ! [X0,X1,X2,X3] : ((in @ (kpair @ X0 @ X2) @ (cartprod @ X3 @ X1)) => (in @ X0 @ X3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 1.60/0.57 inference(rectify,[],[f181])).
% 1.60/0.57 thf(f181,negated_conjecture,(
% 1.60/0.57 ~(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 => ! [X1,X4,X2,X3] : ((in @ (kpair @ X1 @ X2) @ (cartprod @ X3 @ X4)) => (in @ X1 @ X3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 1.60/0.57 inference(negated_conjecture,[],[f180])).
% 1.60/0.57 thf(f180,conjecture,(
% 1.60/0.57 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 => ! [X1,X4,X2,X3] : ((in @ (kpair @ X1 @ X2) @ (cartprod @ X3 @ X4)) => (in @ X1 @ X3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 1.60/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartprodpairmemEL)).
% 1.60/0.57 thf(f2779,plain,(
% 1.60/0.57 ($true = (in @ sK134 @ sK137)) | (kfstpairEq != $true)),
% 1.60/0.57 inference(superposition,[],[f2564,f1594])).
% 1.60/0.57 thf(f1594,plain,(
% 1.60/0.57 ( ! [X0 : $i,X1 : $i] : (((kfst @ (kpair @ X0 @ X1)) = X0) | (kfstpairEq != $true)) )),
% 1.60/0.57 inference(cnf_transformation,[],[f800])).
% 1.60/0.57 thf(f800,plain,(
% 1.60/0.57 (! [X0,X1] : ((kfst @ (kpair @ X0 @ X1)) = X0) | (kfstpairEq != $true)) & ((kfstpairEq = $true) | ((kfst @ (kpair @ sK23 @ sK24)) != sK23))),
% 1.60/0.57 inference(skolemisation,[status(esa),new_symbols(skolem,[sK23,sK24])],[f798,f799])).
% 1.60/0.57 thf(f799,plain,(
% 1.60/0.57 ? [X2,X3] : ((kfst @ (kpair @ X2 @ X3)) != X2) => ((kfst @ (kpair @ sK23 @ sK24)) != sK23)),
% 1.60/0.57 introduced(choice_axiom,[])).
% 1.60/0.57 thf(f798,plain,(
% 1.60/0.57 (! [X0,X1] : ((kfst @ (kpair @ X0 @ X1)) = X0) | (kfstpairEq != $true)) & ((kfstpairEq = $true) | ? [X2,X3] : ((kfst @ (kpair @ X2 @ X3)) != X2))),
% 1.60/0.57 inference(rectify,[],[f797])).
% 1.60/0.57 thf(f797,plain,(
% 1.60/0.57 (! [X0,X1] : ((kfst @ (kpair @ X0 @ X1)) = X0) | (kfstpairEq != $true)) & ((kfstpairEq = $true) | ? [X0,X1] : ((kfst @ (kpair @ X0 @ X1)) != X0))),
% 1.60/0.57 inference(nnf_transformation,[],[f321])).
% 1.60/0.57 thf(f321,plain,(
% 1.60/0.57 ! [X0,X1] : ((kfst @ (kpair @ X0 @ X1)) = X0) <=> (kfstpairEq = $true)),
% 1.60/0.57 inference(fool_elimination,[],[f320])).
% 1.60/0.57 thf(f320,plain,(
% 1.60/0.57 (! [X0,X1] : ((kfst @ (kpair @ X0 @ X1)) = X0) = kfstpairEq)),
% 1.60/0.57 inference(rectify,[],[f166])).
% 1.60/0.57 thf(f166,axiom,(
% 1.60/0.57 (! [X1,X2] : ((kfst @ (kpair @ X1 @ X2)) = X1) = kfstpairEq)),
% 1.60/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p',kfstpairEq)).
% 1.60/0.57 thf(f2564,plain,(
% 1.60/0.57 ($true = (in @ (kfst @ (kpair @ sK134 @ sK136)) @ sK137))),
% 1.60/0.57 inference(trivial_inequality_removal,[],[f2563])).
% 1.60/0.57 thf(f2563,plain,(
% 1.60/0.57 ($true != $true) | ($true = (in @ (kfst @ (kpair @ sK134 @ sK136)) @ sK137))),
% 1.60/0.57 inference(forward_demodulation,[],[f2559,f1845])).
% 1.60/0.57 thf(f1845,plain,(
% 1.60/0.57 (cartprodfstin = $true)),
% 1.60/0.57 inference(cnf_transformation,[],[f984])).
% 1.60/0.57 thf(f2559,plain,(
% 1.60/0.57 ($true = (in @ (kfst @ (kpair @ sK134 @ sK136)) @ sK137)) | (cartprodfstin != $true)),
% 1.60/0.57 inference(trivial_inequality_removal,[],[f2554])).
% 1.60/0.57 thf(f2554,plain,(
% 1.60/0.57 ($true != $true) | ($true = (in @ (kfst @ (kpair @ sK134 @ sK136)) @ sK137)) | (cartprodfstin != $true)),
% 1.60/0.57 inference(superposition,[],[f2089,f1866])).
% 1.60/0.57 thf(f1866,plain,(
% 1.60/0.57 ($true = (in @ (kpair @ sK134 @ sK136) @ (cartprod @ sK137 @ sK135)))),
% 1.60/0.57 inference(cnf_transformation,[],[f984])).
% 1.60/0.57 thf(f2089,plain,(
% 1.60/0.57 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != (in @ X2 @ (cartprod @ X1 @ X0))) | ($true = (in @ (kfst @ X2) @ X1)) | (cartprodfstin != $true)) )),
% 1.60/0.57 inference(cnf_transformation,[],[f1170])).
% 1.60/0.57 thf(f1170,plain,(
% 1.60/0.57 (! [X0,X1,X2] : (($true != (in @ X2 @ (cartprod @ X1 @ X0))) | ($true = (in @ (kfst @ X2) @ X1))) | (cartprodfstin != $true)) & ((cartprodfstin = $true) | (((in @ sK246 @ (cartprod @ sK245 @ sK244)) = $true) & ($true != (in @ (kfst @ sK246) @ sK245))))),
% 1.60/0.57 inference(skolemisation,[status(esa),new_symbols(skolem,[sK244,sK245,sK246])],[f1168,f1169])).
% 1.60/0.57 thf(f1169,plain,(
% 1.60/0.57 ? [X3,X4,X5] : (($true = (in @ X5 @ (cartprod @ X4 @ X3))) & ((in @ (kfst @ X5) @ X4) != $true)) => (((in @ sK246 @ (cartprod @ sK245 @ sK244)) = $true) & ($true != (in @ (kfst @ sK246) @ sK245)))),
% 1.60/0.57 introduced(choice_axiom,[])).
% 1.60/0.57 thf(f1168,plain,(
% 1.60/0.57 (! [X0,X1,X2] : (($true != (in @ X2 @ (cartprod @ X1 @ X0))) | ($true = (in @ (kfst @ X2) @ X1))) | (cartprodfstin != $true)) & ((cartprodfstin = $true) | ? [X3,X4,X5] : (($true = (in @ X5 @ (cartprod @ X4 @ X3))) & ((in @ (kfst @ X5) @ X4) != $true)))),
% 1.60/0.57 inference(rectify,[],[f1167])).
% 1.60/0.57 thf(f1167,plain,(
% 1.60/0.57 (! [X0,X1,X2] : (($true != (in @ X2 @ (cartprod @ X1 @ X0))) | ($true = (in @ (kfst @ X2) @ X1))) | (cartprodfstin != $true)) & ((cartprodfstin = $true) | ? [X0,X1,X2] : (($true = (in @ X2 @ (cartprod @ X1 @ X0))) & ($true != (in @ (kfst @ X2) @ X1))))),
% 1.60/0.57 inference(nnf_transformation,[],[f607])).
% 1.60/0.57 thf(f607,plain,(
% 1.60/0.57 ! [X0,X1,X2] : (($true != (in @ X2 @ (cartprod @ X1 @ X0))) | ($true = (in @ (kfst @ X2) @ X1))) <=> (cartprodfstin = $true)),
% 1.60/0.57 inference(ennf_transformation,[],[f424])).
% 1.60/0.57 thf(f424,plain,(
% 1.60/0.57 ! [X0,X1,X2] : (($true = (in @ X2 @ (cartprod @ X1 @ X0))) => ($true = (in @ (kfst @ X2) @ X1))) <=> (cartprodfstin = $true)),
% 1.60/0.57 inference(fool_elimination,[],[f423])).
% 1.60/0.57 thf(f423,plain,(
% 1.60/0.57 (cartprodfstin = ! [X0,X1,X2] : ((in @ X2 @ (cartprod @ X1 @ X0)) => (in @ (kfst @ X2) @ X1)))),
% 1.60/0.57 inference(rectify,[],[f167])).
% 1.60/0.57 thf(f167,axiom,(
% 1.60/0.57 (cartprodfstin = ! [X4,X3,X10] : ((in @ X10 @ (cartprod @ X3 @ X4)) => (in @ (kfst @ X10) @ X3)))),
% 1.60/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartprodfstin)).
% 1.60/0.57 thf(f3964,plain,(
% 1.60/0.57 ~spl490_23),
% 1.60/0.57 inference(avatar_split_clause,[],[f2764,f3236])).
% 1.60/0.57 thf(f2764,plain,(
% 1.60/0.57 ($true != (in @ sK134 @ sK137))),
% 1.60/0.57 inference(trivial_inequality_removal,[],[f2763])).
% 1.60/0.57 thf(f2763,plain,(
% 1.60/0.57 ($true != $true) | ($true != (in @ sK134 @ sK137))),
% 1.60/0.57 inference(forward_demodulation,[],[f2738,f1847])).
% 1.60/0.57 thf(f1847,plain,(
% 1.60/0.57 (eqimpsubset2 = $true)),
% 1.60/0.57 inference(cnf_transformation,[],[f984])).
% 1.60/0.57 thf(f2738,plain,(
% 1.60/0.57 (eqimpsubset2 != $true) | ($true != (in @ sK134 @ sK137))),
% 1.60/0.57 inference(trivial_inequality_removal,[],[f2720])).
% 1.60/0.57 thf(f2720,plain,(
% 1.60/0.57 ($true != (in @ sK134 @ sK137)) | (eqimpsubset2 != $true) | ($true != $true)),
% 1.60/0.57 inference(superposition,[],[f2552,f2428])).
% 1.60/0.57 thf(f2428,plain,(
% 1.60/0.57 ( ! [X1 : $i] : (($true = (subset @ X1 @ X1)) | (eqimpsubset2 != $true)) )),
% 1.60/0.57 inference(equality_resolution,[],[f1956])).
% 1.60/0.57 thf(f1956,plain,(
% 1.60/0.57 ( ! [X0 : $i,X1 : $i] : ((X0 != X1) | ($true = (subset @ X1 @ X0)) | (eqimpsubset2 != $true)) )),
% 1.60/0.57 inference(cnf_transformation,[],[f1029])).
% 1.60/0.57 thf(f1029,plain,(
% 1.60/0.57 (! [X0,X1] : ((X0 != X1) | ($true = (subset @ X1 @ X0))) | (eqimpsubset2 != $true)) & ((eqimpsubset2 = $true) | ((sK161 = sK162) & ($true != (subset @ sK162 @ sK161))))),
% 1.60/0.57 inference(skolemisation,[status(esa),new_symbols(skolem,[sK161,sK162])],[f1027,f1028])).
% 1.60/0.57 thf(f1028,plain,(
% 1.60/0.57 ? [X2,X3] : ((X2 = X3) & ($true != (subset @ X3 @ X2))) => ((sK161 = sK162) & ($true != (subset @ sK162 @ sK161)))),
% 1.60/0.57 introduced(choice_axiom,[])).
% 1.60/0.57 thf(f1027,plain,(
% 1.60/0.57 (! [X0,X1] : ((X0 != X1) | ($true = (subset @ X1 @ X0))) | (eqimpsubset2 != $true)) & ((eqimpsubset2 = $true) | ? [X2,X3] : ((X2 = X3) & ($true != (subset @ X3 @ X2))))),
% 1.60/0.57 inference(rectify,[],[f1026])).
% 1.60/0.57 thf(f1026,plain,(
% 1.60/0.57 (! [X0,X1] : ((X0 != X1) | ($true = (subset @ X1 @ X0))) | (eqimpsubset2 != $true)) & ((eqimpsubset2 = $true) | ? [X0,X1] : ((X0 = X1) & ($true != (subset @ X1 @ X0))))),
% 1.60/0.57 inference(nnf_transformation,[],[f695])).
% 1.60/0.57 thf(f695,plain,(
% 1.60/0.57 ! [X0,X1] : ((X0 != X1) | ($true = (subset @ X1 @ X0))) <=> (eqimpsubset2 = $true)),
% 1.60/0.57 inference(ennf_transformation,[],[f412])).
% 1.60/0.57 thf(f412,plain,(
% 1.60/0.57 ! [X0,X1] : ((X0 = X1) => ($true = (subset @ X1 @ X0))) <=> (eqimpsubset2 = $true)),
% 1.60/0.57 inference(fool_elimination,[],[f411])).
% 1.60/0.57 thf(f411,plain,(
% 1.60/0.57 (! [X0,X1] : ((X0 = X1) => (subset @ X1 @ X0)) = eqimpsubset2)),
% 1.60/0.57 inference(rectify,[],[f79])).
% 1.60/0.57 thf(f79,axiom,(
% 1.60/0.57 (! [X3,X4] : ((X3 = X4) => (subset @ X4 @ X3)) = eqimpsubset2)),
% 1.60/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p',eqimpsubset2)).
% 1.60/0.57 thf(f2552,plain,(
% 1.60/0.57 ( ! [X0 : $i] : (($true != (subset @ X0 @ sK137)) | ($true != (in @ sK134 @ X0))) )),
% 1.60/0.57 inference(trivial_inequality_removal,[],[f2551])).
% 1.60/0.57 thf(f2551,plain,(
% 1.60/0.57 ( ! [X0 : $i] : (($true != (in @ sK134 @ X0)) | ($true != (subset @ X0 @ sK137)) | ($true != $true)) )),
% 1.60/0.57 inference(forward_demodulation,[],[f2542,f1809])).
% 1.60/0.57 thf(f1809,plain,(
% 1.60/0.57 (subsetE = $true)),
% 1.60/0.57 inference(cnf_transformation,[],[f984])).
% 1.60/0.57 thf(f2542,plain,(
% 1.60/0.57 ( ! [X0 : $i] : ((subsetE != $true) | ($true != (subset @ X0 @ sK137)) | ($true != (in @ sK134 @ X0))) )),
% 1.60/0.57 inference(trivial_inequality_removal,[],[f2539])).
% 1.60/0.57 thf(f2539,plain,(
% 1.60/0.57 ( ! [X0 : $i] : ((subsetE != $true) | ($true != (subset @ X0 @ sK137)) | ($true != $true) | ($true != (in @ sK134 @ X0))) )),
% 1.60/0.57 inference(superposition,[],[f1867,f1605])).
% 1.60/0.57 thf(f1605,plain,(
% 1.60/0.57 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = (in @ X1 @ X2)) | ($true != (subset @ X0 @ X2)) | ($true != (in @ X1 @ X0)) | (subsetE != $true)) )),
% 1.60/0.57 inference(cnf_transformation,[],[f812])).
% 1.60/0.57 thf(f812,plain,(
% 1.60/0.57 (! [X0,X1,X2] : (($true = (in @ X1 @ X2)) | ($true != (in @ X1 @ X0)) | ($true != (subset @ X0 @ X2))) | (subsetE != $true)) & ((subsetE = $true) | (($true != (in @ sK31 @ sK32)) & ($true = (in @ sK31 @ sK30)) & ($true = (subset @ sK30 @ sK32))))),
% 1.60/0.57 inference(skolemisation,[status(esa),new_symbols(skolem,[sK30,sK31,sK32])],[f810,f811])).
% 1.60/0.57 thf(f811,plain,(
% 1.60/0.57 ? [X3,X4,X5] : (($true != (in @ X4 @ X5)) & ((in @ X4 @ X3) = $true) & ((subset @ X3 @ X5) = $true)) => (($true != (in @ sK31 @ sK32)) & ($true = (in @ sK31 @ sK30)) & ($true = (subset @ sK30 @ sK32)))),
% 1.60/0.57 introduced(choice_axiom,[])).
% 1.60/0.57 thf(f810,plain,(
% 1.60/0.57 (! [X0,X1,X2] : (($true = (in @ X1 @ X2)) | ($true != (in @ X1 @ X0)) | ($true != (subset @ X0 @ X2))) | (subsetE != $true)) & ((subsetE = $true) | ? [X3,X4,X5] : (($true != (in @ X4 @ X5)) & ((in @ X4 @ X3) = $true) & ((subset @ X3 @ X5) = $true)))),
% 1.60/0.57 inference(rectify,[],[f809])).
% 1.60/0.57 thf(f809,plain,(
% 1.60/0.57 (! [X0,X1,X2] : (($true = (in @ X1 @ X2)) | ($true != (in @ X1 @ X0)) | ($true != (subset @ X0 @ X2))) | (subsetE != $true)) & ((subsetE = $true) | ? [X0,X1,X2] : (($true != (in @ X1 @ X2)) & ($true = (in @ X1 @ X0)) & ($true = (subset @ X0 @ X2))))),
% 1.60/0.57 inference(nnf_transformation,[],[f667])).
% 1.60/0.57 thf(f667,plain,(
% 1.60/0.57 ! [X0,X1,X2] : (($true = (in @ X1 @ X2)) | ($true != (in @ X1 @ X0)) | ($true != (subset @ X0 @ X2))) <=> (subsetE = $true)),
% 1.60/0.57 inference(flattening,[],[f666])).
% 1.60/0.57 thf(f666,plain,(
% 1.60/0.57 (subsetE = $true) <=> ! [X0,X1,X2] : ((($true = (in @ X1 @ X2)) | ($true != (in @ X1 @ X0))) | ($true != (subset @ X0 @ X2)))),
% 1.60/0.57 inference(ennf_transformation,[],[f347])).
% 1.60/0.57 thf(f347,plain,(
% 1.60/0.57 (subsetE = $true) <=> ! [X0,X1,X2] : (($true = (subset @ X0 @ X2)) => (($true = (in @ X1 @ X0)) => ($true = (in @ X1 @ X2))))),
% 1.60/0.57 inference(fool_elimination,[],[f346])).
% 1.60/0.57 thf(f346,plain,(
% 1.60/0.57 (subsetE = ! [X0,X1,X2] : ((subset @ X0 @ X2) => ((in @ X1 @ X0) => (in @ X1 @ X2))))),
% 1.60/0.57 inference(rectify,[],[f83])).
% 1.60/0.57 thf(f83,axiom,(
% 1.60/0.57 (subsetE = ! [X3,X1,X4] : ((subset @ X3 @ X4) => ((in @ X1 @ X3) => (in @ X1 @ X4))))),
% 1.60/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p',subsetE)).
% 1.60/0.57 thf(f1867,plain,(
% 1.60/0.57 ($true != (in @ sK134 @ sK137))),
% 1.60/0.57 inference(cnf_transformation,[],[f984])).
% 1.60/0.57 % SZS output end Proof for theBenchmark
% 1.60/0.57 % (6798)------------------------------
% 1.60/0.57 % (6798)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.60/0.57 % (6798)Termination reason: Refutation
% 1.60/0.57
% 1.60/0.57 % (6798)Memory used [KB]: 8827
% 1.60/0.57 % (6798)Time elapsed: 0.108 s
% 1.60/0.57 % (6798)Instructions burned: 287 (million)
% 1.60/0.57 % (6798)------------------------------
% 1.60/0.57 % (6798)------------------------------
% 1.60/0.57 % (6775)Success in time 0.185 s
% 1.60/0.57 % Vampire---4.8 exiting
%------------------------------------------------------------------------------