TSTP Solution File: SEU521^1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU521^1 : 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 : n020.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 03:49:19 EDT 2024
% Result : Theorem 0.21s 0.49s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU521^1 : TPTP v8.2.0. Released v3.7.0.
% 0.13/0.13 % 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
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun May 19 17:57:53 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 This is a TH0_THM_EQU_NAR problem
% 0.20/0.35 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/sandbox/benchmark/theBenchmark.p
% 0.20/0.37 % (16845)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.37 % (16843)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)
% 0.20/0.37 % (16842)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.20/0.37 % (16846)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)
% 0.20/0.37 % (16847)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)
% 0.20/0.37 % (16848)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.20/0.37 % (16845)Instruction limit reached!
% 0.20/0.37 % (16845)------------------------------
% 0.20/0.37 % (16845)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.37 % (16845)Termination reason: Unknown
% 0.20/0.37 % (16845)Termination phase: shuffling
% 0.20/0.37 % (16846)Instruction limit reached!
% 0.20/0.37 % (16846)------------------------------
% 0.20/0.37 % (16846)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.37 % (16846)Termination reason: Unknown
% 0.20/0.37 % (16846)Termination phase: shuffling
% 0.20/0.37
% 0.20/0.37 % (16846)Memory used [KB]: 1023
% 0.20/0.37 % (16846)Time elapsed: 0.003 s
% 0.20/0.37 % (16846)Instructions burned: 2 (million)
% 0.20/0.37 % (16846)------------------------------
% 0.20/0.37 % (16846)------------------------------
% 0.20/0.37
% 0.20/0.37 % (16845)Memory used [KB]: 1023
% 0.20/0.37 % (16845)Time elapsed: 0.003 s
% 0.20/0.37 % (16845)Instructions burned: 2 (million)
% 0.20/0.37 % (16845)------------------------------
% 0.20/0.37 % (16845)------------------------------
% 0.20/0.37 % (16849)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)
% 0.20/0.37 % (16843)Instruction limit reached!
% 0.20/0.37 % (16843)------------------------------
% 0.20/0.37 % (16843)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.37 % (16843)Termination reason: Unknown
% 0.20/0.37 % (16843)Termination phase: shuffling
% 0.20/0.37
% 0.20/0.37 % (16843)Memory used [KB]: 1151
% 0.20/0.37 % (16843)Time elapsed: 0.006 s
% 0.20/0.37 % (16843)Instructions burned: 5 (million)
% 0.20/0.37 % (16843)------------------------------
% 0.20/0.37 % (16843)------------------------------
% 0.20/0.37 % (16849)Instruction limit reached!
% 0.20/0.37 % (16849)------------------------------
% 0.20/0.37 % (16849)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.37 % (16849)Termination reason: Unknown
% 0.20/0.37 % (16849)Termination phase: shuffling
% 0.20/0.37
% 0.20/0.37 % (16849)Memory used [KB]: 1023
% 0.20/0.37 % (16849)Time elapsed: 0.004 s
% 0.20/0.37 % (16849)Instructions burned: 4 (million)
% 0.20/0.37 % (16849)------------------------------
% 0.20/0.37 % (16849)------------------------------
% 0.20/0.38 % (16848)Instruction limit reached!
% 0.20/0.38 % (16848)------------------------------
% 0.20/0.38 % (16848)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.38 % (16848)Termination reason: Unknown
% 0.20/0.38 % (16848)Termination phase: Property scanning
% 0.20/0.38
% 0.20/0.38 % (16848)Memory used [KB]: 1535
% 0.20/0.38 % (16848)Time elapsed: 0.012 s
% 0.20/0.38 % (16848)Instructions burned: 18 (million)
% 0.20/0.38 % (16848)------------------------------
% 0.20/0.38 % (16848)------------------------------
% 0.20/0.38 % (16844)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)
% 0.20/0.38 % (16850)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)
% 0.20/0.39 % (16852)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)
% 0.20/0.39 % (16851)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)
% 0.20/0.39 % (16852)Instruction limit reached!
% 0.20/0.39 % (16852)------------------------------
% 0.20/0.39 % (16852)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.39 % (16852)Termination reason: Unknown
% 0.20/0.39 % (16852)Termination phase: shuffling
% 0.20/0.39
% 0.20/0.39 % (16852)Memory used [KB]: 1151
% 0.20/0.39 % (16852)Time elapsed: 0.004 s
% 0.20/0.39 % (16852)Instructions burned: 4 (million)
% 0.20/0.39 % (16852)------------------------------
% 0.20/0.39 % (16852)------------------------------
% 0.20/0.39 % (16853)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)
% 0.20/0.39 % (16844)Instruction limit reached!
% 0.20/0.39 % (16844)------------------------------
% 0.20/0.39 % (16844)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.39 % (16844)Termination reason: Unknown
% 0.20/0.39 % (16844)Termination phase: Saturation
% 0.20/0.39
% 0.20/0.39 % (16844)Memory used [KB]: 5756
% 0.20/0.39 % (16844)Time elapsed: 0.016 s
% 0.20/0.39 % (16844)Instructions burned: 28 (million)
% 0.20/0.39 % (16844)------------------------------
% 0.20/0.39 % (16844)------------------------------
% 0.20/0.39 % (16851)Instruction limit reached!
% 0.20/0.39 % (16851)------------------------------
% 0.20/0.39 % (16851)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.39 % (16851)Termination reason: Unknown
% 0.20/0.39 % (16851)Termination phase: Preprocessing 3
% 0.20/0.39
% 0.20/0.39 % (16851)Memory used [KB]: 1407
% 0.20/0.39 % (16851)Time elapsed: 0.011 s
% 0.20/0.39 % (16851)Instructions burned: 15 (million)
% 0.20/0.39 % (16851)------------------------------
% 0.20/0.39 % (16851)------------------------------
% 0.20/0.40 % (16855)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.41 % (16854)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.41 % (16856)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)
% 0.20/0.41 % (16854)Instruction limit reached!
% 0.20/0.41 % (16854)------------------------------
% 0.20/0.41 % (16854)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (16854)Termination reason: Unknown
% 0.20/0.41 % (16854)Termination phase: Property scanning
% 0.20/0.41
% 0.20/0.41 % (16854)Memory used [KB]: 1151
% 0.20/0.41 % (16854)Time elapsed: 0.005 s
% 0.20/0.41 % (16854)Instructions burned: 7 (million)
% 0.20/0.41 % (16854)------------------------------
% 0.20/0.41 % (16854)------------------------------
% 0.20/0.41 % (16856)Instruction limit reached!
% 0.20/0.41 % (16856)------------------------------
% 0.20/0.41 % (16856)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (16856)Termination reason: Unknown
% 0.20/0.41 % (16856)Termination phase: shuffling
% 0.20/0.41
% 0.20/0.41 % (16856)Memory used [KB]: 1151
% 0.20/0.41 % (16856)Time elapsed: 0.004 s
% 0.20/0.41 % (16856)Instructions burned: 4 (million)
% 0.20/0.41 % (16856)------------------------------
% 0.20/0.41 % (16856)------------------------------
% 0.20/0.41 % (16857)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)
% 0.20/0.41 % (16855)Instruction limit reached!
% 0.20/0.41 % (16855)------------------------------
% 0.20/0.41 % (16855)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (16855)Termination reason: Unknown
% 0.20/0.41 % (16855)Termination phase: Twee Goal Transformation
% 0.20/0.41
% 0.20/0.41 % (16855)Memory used [KB]: 1279
% 0.20/0.41 % (16855)Time elapsed: 0.010 s
% 0.20/0.41 % (16855)Instructions burned: 17 (million)
% 0.20/0.41 % (16855)------------------------------
% 0.20/0.41 % (16855)------------------------------
% 0.20/0.41 % (16857)Instruction limit reached!
% 0.20/0.41 % (16857)------------------------------
% 0.20/0.41 % (16857)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (16857)Termination reason: Unknown
% 0.20/0.41 % (16857)Termination phase: shuffling
% 0.20/0.41
% 0.20/0.41 % (16857)Memory used [KB]: 1023
% 0.20/0.41 % (16857)Time elapsed: 0.004 s
% 0.20/0.41 % (16857)Instructions burned: 4 (million)
% 0.20/0.41 % (16857)------------------------------
% 0.20/0.41 % (16857)------------------------------
% 0.20/0.41 % (16850)Instruction limit reached!
% 0.20/0.41 % (16850)------------------------------
% 0.20/0.41 % (16850)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (16850)Termination reason: Unknown
% 0.20/0.41 % (16850)Termination phase: Saturation
% 0.20/0.41
% 0.20/0.41 % (16850)Memory used [KB]: 6012
% 0.20/0.41 % (16850)Time elapsed: 0.045 s
% 0.20/0.41 % (16850)Instructions burned: 38 (million)
% 0.20/0.41 % (16850)------------------------------
% 0.20/0.41 % (16850)------------------------------
% 0.20/0.42 % (16858)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)
% 0.20/0.42 % (16860)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.42 % (16858)Instruction limit reached!
% 0.20/0.42 % (16858)------------------------------
% 0.20/0.42 % (16858)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (16858)Termination reason: Unknown
% 0.20/0.43 % (16858)Termination phase: Property scanning
% 0.20/0.43
% 0.20/0.43 % (16858)Memory used [KB]: 1151
% 0.20/0.43 % (16858)Time elapsed: 0.005 s
% 0.20/0.43 % (16858)Instructions burned: 8 (million)
% 0.20/0.43 % (16858)------------------------------
% 0.20/0.43 % (16858)------------------------------
% 0.20/0.43 % (16859)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)
% 0.20/0.43 % (16861)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)
% 0.20/0.43 % (16860)Instruction limit reached!
% 0.20/0.43 % (16860)------------------------------
% 0.20/0.43 % (16860)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (16860)Termination reason: Unknown
% 0.20/0.43 % (16860)Termination phase: shuffling
% 0.20/0.43
% 0.20/0.43 % (16860)Memory used [KB]: 1151
% 0.20/0.43 % (16860)Time elapsed: 0.004 s
% 0.20/0.43 % (16860)Instructions burned: 4 (million)
% 0.20/0.43 % (16860)------------------------------
% 0.20/0.43 % (16860)------------------------------
% 0.20/0.43 % (16859)Instruction limit reached!
% 0.20/0.43 % (16859)------------------------------
% 0.20/0.43 % (16859)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (16859)Termination reason: Unknown
% 0.20/0.43 % (16859)Termination phase: shuffling
% 0.20/0.43
% 0.20/0.43 % (16859)Memory used [KB]: 1023
% 0.20/0.43 % (16859)Time elapsed: 0.003 s
% 0.20/0.43 % (16859)Instructions burned: 3 (million)
% 0.20/0.43 % (16859)------------------------------
% 0.20/0.43 % (16859)------------------------------
% 0.20/0.43 % (16862)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.21/0.43 % (16861)Instruction limit reached!
% 0.21/0.43 % (16861)------------------------------
% 0.21/0.43 % (16861)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (16861)Termination reason: Unknown
% 0.21/0.43 % (16861)Termination phase: Saturation
% 0.21/0.43
% 0.21/0.43 % (16861)Memory used [KB]: 5756
% 0.21/0.43 % (16861)Time elapsed: 0.011 s
% 0.21/0.43 % (16861)Instructions burned: 18 (million)
% 0.21/0.43 % (16861)------------------------------
% 0.21/0.43 % (16861)------------------------------
% 0.21/0.44 % (16863)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.44 % (16863)Instruction limit reached!
% 0.21/0.44 % (16863)------------------------------
% 0.21/0.44 % (16863)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (16863)Termination reason: Unknown
% 0.21/0.44 % (16863)Termination phase: shuffling
% 0.21/0.44
% 0.21/0.44 % (16863)Memory used [KB]: 1151
% 0.21/0.44 % (16863)Time elapsed: 0.004 s
% 0.21/0.44 % (16863)Instructions burned: 6 (million)
% 0.21/0.44 % (16863)------------------------------
% 0.21/0.44 % (16863)------------------------------
% 0.21/0.44 % (16864)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)
% 0.21/0.44 % (16865)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)
% 0.21/0.45 % (16866)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.21/0.45 % (16866)Instruction limit reached!
% 0.21/0.45 % (16866)------------------------------
% 0.21/0.45 % (16866)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (16866)Termination reason: Unknown
% 0.21/0.45 % (16866)Termination phase: shuffling
% 0.21/0.45
% 0.21/0.45 % (16866)Memory used [KB]: 1151
% 0.21/0.45 % (16866)Time elapsed: 0.005 s
% 0.21/0.45 % (16866)Instructions burned: 7 (million)
% 0.21/0.45 % (16866)------------------------------
% 0.21/0.45 % (16866)------------------------------
% 0.21/0.45 % (16865)Instruction limit reached!
% 0.21/0.45 % (16865)------------------------------
% 0.21/0.45 % (16865)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (16865)Termination reason: Unknown
% 0.21/0.45 % (16865)Termination phase: Saturation
% 0.21/0.45
% 0.21/0.45 % (16865)Memory used [KB]: 5756
% 0.21/0.45 % (16865)Time elapsed: 0.013 s
% 0.21/0.45 % (16865)Instructions burned: 22 (million)
% 0.21/0.45 % (16865)------------------------------
% 0.21/0.45 % (16865)------------------------------
% 0.21/0.45 % (16867)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)
% 0.21/0.46 % (16867)Instruction limit reached!
% 0.21/0.46 % (16867)------------------------------
% 0.21/0.46 % (16867)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.46 % (16867)Termination reason: Unknown
% 0.21/0.46 % (16867)Termination phase: Property scanning
% 0.21/0.46
% 0.21/0.46 % (16867)Memory used [KB]: 1151
% 0.21/0.46 % (16867)Time elapsed: 0.005 s
% 0.21/0.46 % (16867)Instructions burned: 8 (million)
% 0.21/0.46 % (16867)------------------------------
% 0.21/0.46 % (16867)------------------------------
% 0.21/0.47 % (16868)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.21/0.47 % (16869)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)
% 0.21/0.47 % (16870)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)
% 0.21/0.48 % (16870)Instruction limit reached!
% 0.21/0.48 % (16870)------------------------------
% 0.21/0.48 % (16870)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.48 % (16870)Termination reason: Unknown
% 0.21/0.48 % (16870)Termination phase: Property scanning
% 0.21/0.48
% 0.21/0.48 % (16870)Memory used [KB]: 1279
% 0.21/0.48 % (16870)Time elapsed: 0.007 s
% 0.21/0.48 % (16870)Instructions burned: 21 (million)
% 0.21/0.48 % (16870)------------------------------
% 0.21/0.48 % (16870)------------------------------
% 0.21/0.48 % (16864)First to succeed.
% 0.21/0.48 % (16871)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)
% 0.21/0.49 % (16864)Refutation found. Thanks to Tanya!
% 0.21/0.49 % SZS status Theorem for theBenchmark
% 0.21/0.49 % SZS output start Proof for theBenchmark
% 0.21/0.49 thf(func_def_0, type, in: $i > $i > $o).
% 0.21/0.49 thf(func_def_1, type, exu: ($i > $o) > $o).
% 0.21/0.49 thf(func_def_6, type, setadjoin: $i > $i > $i).
% 0.21/0.49 thf(func_def_8, type, powerset: $i > $i).
% 0.21/0.49 thf(func_def_10, type, setunion: $i > $i).
% 0.21/0.49 thf(func_def_19, type, descr: ($i > $o) > $i).
% 0.21/0.49 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i).
% 0.21/0.49 thf(func_def_26, type, prop2set: $o > $i).
% 0.21/0.49 thf(func_def_36, type, nonempty: $i > $o).
% 0.21/0.49 thf(func_def_62, type, sP1: $i > $i > $o).
% 0.21/0.49 thf(func_def_63, type, sP2: $i > $o).
% 0.21/0.49 thf(func_def_64, type, sP3: $i > $i > $o).
% 0.21/0.49 thf(func_def_65, type, sP4: $i > $i > $o).
% 0.21/0.49 thf(func_def_68, type, sK7: $i > $i > $i).
% 0.21/0.49 thf(func_def_69, type, sK8: $i > $i > $i).
% 0.21/0.49 thf(func_def_78, type, sK17: $i > $i).
% 0.21/0.49 thf(func_def_82, type, sK21: $i > $o).
% 0.21/0.49 thf(func_def_86, type, sK25: $i > $i).
% 0.21/0.49 thf(func_def_90, type, sK29: $i > $i > $o).
% 0.21/0.49 thf(func_def_91, type, sK30: $i > $i).
% 0.21/0.49 thf(func_def_92, type, sK31: $i > $i).
% 0.21/0.49 thf(func_def_93, type, sK32: ($i > $i > $o) > $i > $i).
% 0.21/0.49 thf(func_def_94, type, sK33: ($i > $i > $o) > $i > $i).
% 0.21/0.49 thf(func_def_95, type, sK34: $i > ($i > $i > $o) > $i > $i).
% 0.21/0.49 thf(func_def_96, type, sK35: $i > $i > $i).
% 0.21/0.49 thf(func_def_97, type, sK36: $i > $i > $i).
% 0.21/0.49 thf(func_def_98, type, sK37: $i > $i > $i).
% 0.21/0.49 thf(func_def_99, type, sK38: $i > $i > $i).
% 0.21/0.49 thf(func_def_100, type, sK39: $i > $i > $i).
% 0.21/0.49 thf(func_def_101, type, sK40: $i > $i > $i > $i).
% 0.21/0.49 thf(func_def_102, type, sK41: $i > $i).
% 0.21/0.49 thf(func_def_103, type, sK42: $i > $i).
% 0.21/0.49 thf(func_def_104, type, sK43: $i > $i).
% 0.21/0.49 thf(func_def_105, type, sK44: $i > $i).
% 0.21/0.49 thf(func_def_106, type, sK45: $i > $i > $i).
% 0.21/0.49 thf(func_def_107, type, sK46: $i > $i > $i > $i).
% 0.21/0.49 thf(func_def_108, type, sK47: $i > $i > $i > $i).
% 0.21/0.49 thf(func_def_109, type, sK48: $i > $i > $i).
% 0.21/0.49 thf(func_def_110, type, sK49: $i > $i > $i).
% 0.21/0.49 thf(func_def_111, type, sK50: $i > $i).
% 0.21/0.49 thf(func_def_113, type, sK52: $i > $i).
% 0.21/0.49 thf(func_def_114, type, sK53: $i > $i).
% 0.21/0.49 thf(func_def_115, type, sK54: $i > $o).
% 0.21/0.49 thf(func_def_119, type, sK58: $i > $i > $i).
% 0.21/0.49 thf(func_def_125, type, sK64: $i > $i > $i).
% 0.21/0.49 thf(func_def_126, type, sK65: $i > $i > $i).
% 0.21/0.49 thf(func_def_130, type, sK69: $i > $i).
% 0.21/0.49 thf(func_def_133, type, sK72: $i > $o).
% 0.21/0.49 thf(func_def_140, type, sK79: $i > $o).
% 0.21/0.49 thf(func_def_141, type, sK80: ($i > $o) > $i).
% 0.21/0.49 thf(func_def_142, type, sK81: $i > $i).
% 0.21/0.49 thf(func_def_145, type, sK84: $i > $i).
% 0.21/0.49 thf(func_def_146, type, sK85: $i > $i).
% 0.21/0.49 thf(func_def_152, type, sK91: $i > $o).
% 0.21/0.49 thf(func_def_159, type, sK98: $i > $i > $i).
% 0.21/0.49 thf(func_def_167, type, sK106: $i > $o).
% 0.21/0.49 thf(func_def_171, type, sK110: $i > $o).
% 0.21/0.49 thf(func_def_172, type, sK111: ($i > $o) > $i).
% 0.21/0.49 thf(func_def_173, type, sK112: $i > $o).
% 0.21/0.49 thf(func_def_174, type, sK113: $i > $i).
% 0.21/0.49 thf(func_def_176, type, ph115: !>[X0: $tType]:(X0)).
% 0.21/0.49 thf(f879,plain,(
% 0.21/0.49 $false),
% 0.21/0.49 inference(trivial_inequality_removal,[],[f876])).
% 0.21/0.49 thf(f876,plain,(
% 0.21/0.49 ($true != $true)),
% 0.21/0.49 inference(superposition,[],[f639,f557])).
% 0.21/0.49 thf(f557,plain,(
% 0.21/0.49 ((in @ sK103 @ sK104) = $true)),
% 0.21/0.49 inference(cnf_transformation,[],[f355])).
% 0.21/0.49 thf(f355,plain,(
% 0.21/0.49 (setadjoinAx = $true) & (setoftrueEq = $true) & (setext = $true) & (setadjoinIL = $true) & (omegaSAx = $true) & (nonemptyE1 = $true) & (emptyInPowerset = $true) & (replAx = $true) & (omegaIndAx = $true) & (dsetconstrER = $true) & (powersetAx = $true) & (emptyinunitempty = $true) & (setadjoinE = $true) & (setbeta = $true) & (($true = (in @ sK104 @ (powerset @ sK102))) & ($true != (in @ sK103 @ sK102)) & ((in @ sK103 @ sK104) = $true)) & (emptysetimpfalse = $true) & (nonemptyI = $true) & (prop2setE = $true) & (setextAx = $true) & (powersetI = $true) & (emptyI = $true) & (exuE3e = $true) & (foundationAx = $true) & (dsetconstrI = $true) & (noeltsimpempty = $true) & (emptysetE = $true) & (dsetconstrEL = $true) & (emptyinPowerset = $true) & (setadjoinIR = $true) & (notinemptyset = $true) & (emptysetAx = $true) & (omega0Ax = $true) & (descrp = $true) & (setadjoinOr = $true) & (setunionAx = $true) & (exuE1 = $true) & (nonemptyI1 = $true) & (wellorderingAx = $true)),
% 0.21/0.49 inference(skolemisation,[status(esa),new_symbols(skolem,[sK102,sK103,sK104])],[f154,f354])).
% 0.21/0.49 thf(f354,plain,(
% 0.21/0.49 ? [X0,X1,X2] : (($true = (in @ X2 @ (powerset @ X0))) & ($true != (in @ X1 @ X0)) & ($true = (in @ X1 @ X2))) => (($true = (in @ sK104 @ (powerset @ sK102))) & ($true != (in @ sK103 @ sK102)) & ((in @ sK103 @ sK104) = $true))),
% 0.21/0.49 introduced(choice_axiom,[])).
% 0.21/0.49 thf(f154,plain,(
% 0.21/0.49 (setadjoinAx = $true) & (setoftrueEq = $true) & (setext = $true) & (setadjoinIL = $true) & (omegaSAx = $true) & (nonemptyE1 = $true) & (emptyInPowerset = $true) & (replAx = $true) & (omegaIndAx = $true) & (dsetconstrER = $true) & (powersetAx = $true) & (emptyinunitempty = $true) & (setadjoinE = $true) & (setbeta = $true) & ? [X0,X1,X2] : (($true = (in @ X2 @ (powerset @ X0))) & ($true != (in @ X1 @ X0)) & ($true = (in @ X1 @ X2))) & (emptysetimpfalse = $true) & (nonemptyI = $true) & (prop2setE = $true) & (setextAx = $true) & (powersetI = $true) & (emptyI = $true) & (exuE3e = $true) & (foundationAx = $true) & (dsetconstrI = $true) & (noeltsimpempty = $true) & (emptysetE = $true) & (dsetconstrEL = $true) & (emptyinPowerset = $true) & (setadjoinIR = $true) & (notinemptyset = $true) & (emptysetAx = $true) & (omega0Ax = $true) & (descrp = $true) & (setadjoinOr = $true) & (setunionAx = $true) & (exuE1 = $true) & (nonemptyI1 = $true) & (wellorderingAx = $true)),
% 0.21/0.49 inference(flattening,[],[f153])).
% 0.21/0.49 thf(f153,plain,(
% 0.21/0.49 ((((((((((((((((((((((((((((((((((((? [X0,X1,X2] : ((($true != (in @ X1 @ X0)) & ($true = (in @ X1 @ X2))) & ($true = (in @ X2 @ (powerset @ X0)))) & (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)),
% 0.21/0.49 inference(ennf_transformation,[],[f104])).
% 0.21/0.49 thf(f104,plain,(
% 0.21/0.49 ~((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 = $true) => ! [X0,X1,X2] : (($true = (in @ X2 @ (powerset @ X0))) => (($true = (in @ X1 @ X2)) => ($true = (in @ X1 @ X0)))))))))))))))))))))))))))))))))))))))))),
% 0.21/0.49 inference(fool_elimination,[],[f103])).
% 0.21/0.49 thf(f103,plain,(
% 0.21/0.49 ~(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 => ! [X0,X1,X2] : ((in @ X2 @ (powerset @ X0)) => ((in @ X1 @ X2) => (in @ X1 @ X0))))))))))))))))))))))))))))))))))))))))),
% 0.21/0.49 inference(rectify,[],[f42])).
% 0.21/0.49 thf(f42,negated_conjecture,(
% 0.21/0.49 ~(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 => ! [X3,X1,X4] : ((in @ X4 @ (powerset @ X3)) => ((in @ X1 @ X4) => (in @ X1 @ X3))))))))))))))))))))))))))))))))))))))))),
% 0.21/0.49 inference(negated_conjecture,[],[f41])).
% 0.21/0.49 thf(f41,conjecture,(
% 0.21/0.49 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 => ! [X3,X1,X4] : ((in @ X4 @ (powerset @ X3)) => ((in @ X1 @ X4) => (in @ X1 @ X3)))))))))))))))))))))))))))))))))))))))),
% 0.21/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',powersetE)).
% 0.21/0.49 thf(f639,plain,(
% 0.21/0.49 ((in @ sK103 @ sK104) != $true)),
% 0.21/0.49 inference(trivial_inequality_removal,[],[f638])).
% 0.21/0.49 thf(f638,plain,(
% 0.21/0.49 ($true != $true) | ((in @ sK103 @ sK104) != $true)),
% 0.21/0.49 inference(superposition,[],[f558,f625])).
% 0.21/0.49 thf(f625,plain,(
% 0.21/0.49 ( ! [X0 : $i] : (($true = (in @ X0 @ sK102)) | ($true != (in @ X0 @ sK104))) )),
% 0.21/0.49 inference(trivial_inequality_removal,[],[f624])).
% 0.21/0.49 thf(f624,plain,(
% 0.21/0.49 ( ! [X0 : $i] : (($true != $true) | ($true != (in @ X0 @ sK104)) | ($true = (in @ X0 @ sK102))) )),
% 0.21/0.49 inference(forward_demodulation,[],[f620,f563])).
% 0.21/0.49 thf(f563,plain,(
% 0.21/0.49 (powersetAx = $true)),
% 0.21/0.49 inference(cnf_transformation,[],[f355])).
% 0.21/0.49 thf(f620,plain,(
% 0.21/0.49 ( ! [X0 : $i] : (($true != (in @ X0 @ sK104)) | (powersetAx != $true) | ($true = (in @ X0 @ sK102))) )),
% 0.21/0.49 inference(trivial_inequality_removal,[],[f618])).
% 0.21/0.49 thf(f618,plain,(
% 0.21/0.49 ( ! [X0 : $i] : (($true != $true) | ($true = (in @ X0 @ sK102)) | (powersetAx != $true) | ($true != (in @ X0 @ sK104))) )),
% 0.21/0.49 inference(superposition,[],[f379,f559])).
% 0.21/0.49 thf(f559,plain,(
% 0.21/0.49 ($true = (in @ sK104 @ (powerset @ sK102)))),
% 0.21/0.49 inference(cnf_transformation,[],[f355])).
% 0.21/0.49 thf(f379,plain,(
% 0.21/0.49 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != (in @ X0 @ (powerset @ X1))) | ($true = (in @ X2 @ X1)) | ($true != (in @ X2 @ X0)) | (powersetAx != $true)) )),
% 0.21/0.49 inference(cnf_transformation,[],[f182])).
% 0.21/0.49 thf(f182,plain,(
% 0.21/0.49 (! [X0,X1] : ((! [X2] : (($true != (in @ X2 @ X0)) | ($true = (in @ X2 @ X1))) | ($true != (in @ X0 @ (powerset @ X1)))) & (($true = (in @ X0 @ (powerset @ X1))) | (($true = (in @ (sK8 @ X1 @ X0) @ X0)) & ($true != (in @ (sK8 @ X1 @ X0) @ X1))))) | (powersetAx != $true)) & ((powersetAx = $true) | ((($true != (in @ sK9 @ (powerset @ sK10))) | (($true = (in @ sK11 @ sK9)) & ($true != (in @ sK11 @ sK10)))) & (($true = (in @ sK9 @ (powerset @ sK10))) | ! [X7] : (($true != (in @ X7 @ sK9)) | ($true = (in @ X7 @ sK10))))))),
% 0.21/0.49 inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10,sK11])],[f178,f181,f180,f179])).
% 0.21/0.49 thf(f179,plain,(
% 0.21/0.49 ! [X0,X1] : (? [X3] : (($true = (in @ X3 @ X0)) & ($true != (in @ X3 @ X1))) => (($true = (in @ (sK8 @ X1 @ X0) @ X0)) & ($true != (in @ (sK8 @ X1 @ X0) @ X1))))),
% 0.21/0.49 introduced(choice_axiom,[])).
% 0.21/0.49 thf(f180,plain,(
% 0.21/0.49 ? [X4,X5] : ((((in @ X4 @ (powerset @ X5)) != $true) | ? [X6] : (((in @ X6 @ X4) = $true) & ($true != (in @ X6 @ X5)))) & (((in @ X4 @ (powerset @ X5)) = $true) | ! [X7] : (((in @ X7 @ X4) != $true) | ((in @ X7 @ X5) = $true)))) => ((($true != (in @ sK9 @ (powerset @ sK10))) | ? [X6] : (($true = (in @ X6 @ sK9)) & ($true != (in @ X6 @ sK10)))) & (($true = (in @ sK9 @ (powerset @ sK10))) | ! [X7] : (($true != (in @ X7 @ sK9)) | ($true = (in @ X7 @ sK10)))))),
% 0.21/0.49 introduced(choice_axiom,[])).
% 0.21/0.49 thf(f181,plain,(
% 0.21/0.49 ? [X6] : (($true = (in @ X6 @ sK9)) & ($true != (in @ X6 @ sK10))) => (($true = (in @ sK11 @ sK9)) & ($true != (in @ sK11 @ sK10)))),
% 0.21/0.49 introduced(choice_axiom,[])).
% 0.21/0.49 thf(f178,plain,(
% 0.21/0.49 (! [X0,X1] : ((! [X2] : (($true != (in @ X2 @ X0)) | ($true = (in @ X2 @ X1))) | ($true != (in @ X0 @ (powerset @ X1)))) & (($true = (in @ X0 @ (powerset @ X1))) | ? [X3] : (($true = (in @ X3 @ X0)) & ($true != (in @ X3 @ X1))))) | (powersetAx != $true)) & ((powersetAx = $true) | ? [X4,X5] : ((((in @ X4 @ (powerset @ X5)) != $true) | ? [X6] : (((in @ X6 @ X4) = $true) & ($true != (in @ X6 @ X5)))) & (((in @ X4 @ (powerset @ X5)) = $true) | ! [X7] : (((in @ X7 @ X4) != $true) | ((in @ X7 @ X5) = $true)))))),
% 0.21/0.49 inference(rectify,[],[f177])).
% 0.21/0.49 thf(f177,plain,(
% 0.21/0.49 (! [X0,X1] : ((! [X2] : (($true != (in @ X2 @ X0)) | ($true = (in @ X2 @ X1))) | ($true != (in @ X0 @ (powerset @ X1)))) & (($true = (in @ X0 @ (powerset @ X1))) | ? [X2] : (($true = (in @ X2 @ X0)) & ($true != (in @ X2 @ X1))))) | (powersetAx != $true)) & ((powersetAx = $true) | ? [X0,X1] : ((($true != (in @ X0 @ (powerset @ X1))) | ? [X2] : (($true = (in @ X2 @ X0)) & ($true != (in @ X2 @ X1)))) & (($true = (in @ X0 @ (powerset @ X1))) | ! [X2] : (($true != (in @ X2 @ X0)) | ($true = (in @ X2 @ X1))))))),
% 0.21/0.49 inference(nnf_transformation,[],[f156])).
% 0.21/0.49 thf(f156,plain,(
% 0.21/0.49 ! [X0,X1] : (! [X2] : (($true != (in @ X2 @ X0)) | ($true = (in @ X2 @ X1))) <=> ($true = (in @ X0 @ (powerset @ X1)))) <=> (powersetAx = $true)),
% 0.21/0.49 inference(ennf_transformation,[],[f108])).
% 0.21/0.49 thf(f108,plain,(
% 0.21/0.49 (powersetAx = $true) <=> ! [X0,X1] : (! [X2] : (($true = (in @ X2 @ X0)) => ($true = (in @ X2 @ X1))) <=> ($true = (in @ X0 @ (powerset @ X1))))),
% 0.21/0.49 inference(fool_elimination,[],[f107])).
% 0.21/0.49 thf(f107,plain,(
% 0.21/0.49 (powersetAx = ! [X0,X1] : ((in @ X0 @ (powerset @ X1)) <=> ! [X2] : ((in @ X2 @ X0) => (in @ X2 @ X1))))),
% 0.21/0.49 inference(rectify,[],[f5])).
% 0.21/0.49 thf(f5,axiom,(
% 0.21/0.49 (powersetAx = ! [X4,X3] : ((in @ X4 @ (powerset @ X3)) <=> ! [X1] : ((in @ X1 @ X4) => (in @ X1 @ X3))))),
% 0.21/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',powersetAx)).
% 0.21/0.49 thf(f558,plain,(
% 0.21/0.49 ($true != (in @ sK103 @ sK102))),
% 0.21/0.49 inference(cnf_transformation,[],[f355])).
% 0.21/0.49 % SZS output end Proof for theBenchmark
% 0.21/0.49 % (16864)------------------------------
% 0.21/0.49 % (16864)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.49 % (16864)Termination reason: Refutation
% 0.21/0.49
% 0.21/0.49 % (16864)Memory used [KB]: 6396
% 0.21/0.49 % (16864)Time elapsed: 0.045 s
% 0.21/0.49 % (16864)Instructions burned: 70 (million)
% 0.21/0.49 % (16864)------------------------------
% 0.21/0.49 % (16864)------------------------------
% 0.21/0.49 % (16841)Success in time 0.136 s
% 0.21/0.49 % Vampire---4.8 exiting
%------------------------------------------------------------------------------