TSTP Solution File: SEU656^2 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SEU656^2 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n027.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 : Mon Jun 24 15:42:06 EDT 2024
% Result : Theorem 1.67s 0.58s
% Output : Refutation 1.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU656^2 : TPTP v8.2.0. Released v3.7.0.
% 0.00/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 21 12:04:24 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.35 This is a TH0_THM_EQU_NAR problem
% 0.19/0.36 Running higher-order theorem proving
% 0.19/0.36 Running /export/starexec/sandbox2/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/benchmark/theBenchmark.p -m 16384 -t 300
% 0.19/0.38 % (18451)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.38 % (18450)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)
% 0.19/0.38 % (18449)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)
% 0.19/0.38 % (18452)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)
% 0.19/0.38 % (18448)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.19/0.38 % (18454)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.19/0.38 % (18451)Instruction limit reached!
% 0.19/0.38 % (18451)------------------------------
% 0.19/0.38 % (18451)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.38 % (18451)Termination reason: Unknown
% 0.19/0.38 % (18451)Termination phase: Property scanning
% 0.19/0.38
% 0.19/0.38 % (18451)Memory used [KB]: 1023
% 0.19/0.38 % (18451)Time elapsed: 0.004 s
% 0.19/0.38 % (18451)Instructions burned: 2 (million)
% 0.19/0.38 % (18451)------------------------------
% 0.19/0.38 % (18451)------------------------------
% 0.19/0.38 % (18452)Instruction limit reached!
% 0.19/0.38 % (18452)------------------------------
% 0.19/0.38 % (18452)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.38 % (18452)Termination reason: Unknown
% 0.19/0.38 % (18452)Termination phase: Property scanning
% 0.19/0.38
% 0.19/0.38 % (18452)Memory used [KB]: 1023
% 0.19/0.38 % (18452)Time elapsed: 0.004 s
% 0.19/0.38 % (18452)Instructions burned: 3 (million)
% 0.19/0.38 % (18452)------------------------------
% 0.19/0.38 % (18452)------------------------------
% 0.19/0.38 % (18453)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)
% 0.19/0.38 % (18449)Instruction limit reached!
% 0.19/0.38 % (18449)------------------------------
% 0.19/0.38 % (18449)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.38 % (18449)Termination reason: Unknown
% 0.19/0.38 % (18449)Termination phase: shuffling
% 0.19/0.38
% 0.19/0.38 % (18449)Memory used [KB]: 1023
% 0.19/0.38 % (18449)Time elapsed: 0.005 s
% 0.19/0.38 % (18449)Instructions burned: 4 (million)
% 0.19/0.38 % (18449)------------------------------
% 0.19/0.38 % (18449)------------------------------
% 0.19/0.38 % (18453)Refutation not found, incomplete strategy
% 0.19/0.38 % (18453)------------------------------
% 0.19/0.38 % (18453)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.38 % (18453)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.38
% 0.19/0.38
% 0.19/0.38 % (18453)Memory used [KB]: 5628
% 0.19/0.38 % (18453)Time elapsed: 0.008 s
% 0.19/0.38 % (18453)Instructions burned: 8 (million)
% 0.19/0.38 % (18453)------------------------------
% 0.19/0.38 % (18453)------------------------------
% 0.19/0.39 % (18454)Instruction limit reached!
% 0.19/0.39 % (18454)------------------------------
% 0.19/0.39 % (18454)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.39 % (18454)Termination reason: Unknown
% 0.19/0.39 % (18454)Termination phase: Saturation
% 0.19/0.39
% 0.19/0.39 % (18454)Memory used [KB]: 5628
% 0.19/0.39 % (18454)Time elapsed: 0.014 s
% 0.19/0.39 % (18454)Instructions burned: 19 (million)
% 0.19/0.39 % (18454)------------------------------
% 0.19/0.39 % (18454)------------------------------
% 0.19/0.39 % (18450)Instruction limit reached!
% 0.19/0.39 % (18450)------------------------------
% 0.19/0.39 % (18450)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.39 % (18450)Termination reason: Unknown
% 0.19/0.39 % (18450)Termination phase: Saturation
% 0.19/0.39
% 0.19/0.39 % (18450)Memory used [KB]: 5756
% 0.19/0.39 % (18450)Time elapsed: 0.020 s
% 0.19/0.39 % (18450)Instructions burned: 28 (million)
% 0.19/0.39 % (18450)------------------------------
% 0.19/0.39 % (18450)------------------------------
% 0.19/0.39 % (18463)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)
% 0.19/0.39 % (18465)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)
% 0.19/0.39 % (18466)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)
% 0.19/0.40 % (18463)Instruction limit reached!
% 0.19/0.40 % (18463)------------------------------
% 0.19/0.40 % (18463)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.40 % (18463)Termination reason: Unknown
% 0.19/0.40 % (18463)Termination phase: Property scanning
% 0.19/0.40
% 0.19/0.40 % (18463)Memory used [KB]: 1023
% 0.19/0.40 % (18463)Time elapsed: 0.004 s
% 0.19/0.40 % (18463)Instructions burned: 3 (million)
% 0.19/0.40 % (18463)------------------------------
% 0.19/0.40 % (18463)------------------------------
% 0.19/0.40 % (18470)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)
% 0.19/0.40 % (18470)Instruction limit reached!
% 0.19/0.40 % (18470)------------------------------
% 0.19/0.40 % (18470)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.40 % (18470)Termination reason: Unknown
% 0.19/0.40 % (18470)Termination phase: Property scanning
% 0.19/0.40
% 0.19/0.40 % (18470)Memory used [KB]: 1023
% 0.19/0.40 % (18470)Time elapsed: 0.004 s
% 0.19/0.40 % (18470)Instructions burned: 3 (million)
% 0.19/0.40 % (18470)------------------------------
% 0.19/0.40 % (18470)------------------------------
% 0.19/0.40 % (18473)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)
% 0.19/0.40 % (18466)Instruction limit reached!
% 0.19/0.40 % (18466)------------------------------
% 0.19/0.40 % (18466)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.40 % (18466)Termination reason: Unknown
% 0.19/0.40 % (18466)Termination phase: Saturation
% 0.19/0.40
% 0.19/0.40 % (18466)Memory used [KB]: 5628
% 0.19/0.40 % (18466)Time elapsed: 0.012 s
% 0.19/0.40 % (18466)Instructions burned: 15 (million)
% 0.19/0.40 % (18466)------------------------------
% 0.19/0.40 % (18466)------------------------------
% 0.19/0.41 % (18475)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.41 % (18476)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.41 % (18475)Instruction limit reached!
% 0.19/0.41 % (18475)------------------------------
% 0.19/0.41 % (18475)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.41 % (18475)Termination reason: Unknown
% 0.19/0.41 % (18475)Termination phase: Saturation
% 0.19/0.41
% 0.19/0.41 % (18475)Memory used [KB]: 1023
% 0.19/0.41 % (18475)Time elapsed: 0.006 s
% 0.19/0.41 % (18475)Instructions burned: 7 (million)
% 0.19/0.41 % (18475)------------------------------
% 0.19/0.41 % (18475)------------------------------
% 0.19/0.42 % (18465)Instruction limit reached!
% 0.19/0.42 % (18465)------------------------------
% 0.19/0.42 % (18465)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.42 % (18465)Termination reason: Unknown
% 0.19/0.42 % (18465)Termination phase: Saturation
% 0.19/0.42
% 0.19/0.42 % (18465)Memory used [KB]: 5756
% 0.19/0.42 % (18465)Time elapsed: 0.025 s
% 0.19/0.42 % (18465)Instructions burned: 38 (million)
% 0.19/0.42 % (18465)------------------------------
% 0.19/0.42 % (18465)------------------------------
% 0.19/0.42 % (18478)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)
% 0.19/0.42 % (18480)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)
% 0.19/0.42 % (18478)Instruction limit reached!
% 0.19/0.42 % (18478)------------------------------
% 0.19/0.42 % (18478)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.42 % (18478)Termination reason: Unknown
% 0.19/0.42 % (18478)Termination phase: Property scanning
% 0.19/0.42
% 0.19/0.42 % (18478)Memory used [KB]: 1023
% 0.19/0.42 % (18478)Time elapsed: 0.004 s
% 0.19/0.42 % (18478)Instructions burned: 3 (million)
% 0.19/0.42 % (18478)------------------------------
% 0.19/0.42 % (18478)------------------------------
% 0.19/0.42 % (18480)Instruction limit reached!
% 0.19/0.42 % (18480)------------------------------
% 0.19/0.42 % (18480)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.42 % (18480)Termination reason: Unknown
% 0.19/0.42 % (18480)Termination phase: Property scanning
% 0.19/0.42
% 0.19/0.42 % (18480)Memory used [KB]: 1023
% 0.19/0.42 % (18480)Time elapsed: 0.004 s
% 0.19/0.42 % (18480)Instructions burned: 3 (million)
% 0.19/0.42 % (18480)------------------------------
% 0.19/0.42 % (18480)------------------------------
% 0.19/0.42 % (18476)Instruction limit reached!
% 0.19/0.42 % (18476)------------------------------
% 0.19/0.42 % (18476)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.42 % (18476)Termination reason: Unknown
% 0.19/0.42 % (18476)Termination phase: Saturation
% 0.19/0.42
% 0.19/0.42 % (18476)Memory used [KB]: 5884
% 0.19/0.42 % (18476)Time elapsed: 0.014 s
% 0.19/0.42 % (18476)Instructions burned: 16 (million)
% 0.19/0.42 % (18476)------------------------------
% 0.19/0.42 % (18476)------------------------------
% 0.22/0.43 % (18485)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)
% 0.22/0.43 % (18487)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)
% 0.22/0.43 % (18485)Refutation not found, incomplete strategy
% 0.22/0.43 % (18485)------------------------------
% 0.22/0.43 % (18485)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.43 % (18485)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.43
% 0.22/0.43
% 0.22/0.43 % (18485)Memory used [KB]: 5500
% 0.22/0.43 % (18485)Time elapsed: 0.007 s
% 0.22/0.43 % (18485)Instructions burned: 6 (million)
% 0.22/0.43 % (18485)------------------------------
% 0.22/0.43 % (18485)------------------------------
% 0.22/0.43 % (18487)Instruction limit reached!
% 0.22/0.43 % (18487)------------------------------
% 0.22/0.43 % (18487)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.43 % (18487)Termination reason: Unknown
% 0.22/0.43 % (18487)Termination phase: Property scanning
% 0.22/0.43
% 0.22/0.43 % (18487)Memory used [KB]: 1023
% 0.22/0.43 % (18487)Time elapsed: 0.004 s
% 0.22/0.43 % (18487)Instructions burned: 3 (million)
% 0.22/0.43 % (18487)------------------------------
% 0.22/0.43 % (18487)------------------------------
% 0.22/0.44 % (18490)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.22/0.44 % (18492)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)
% 0.22/0.44 % (18490)Instruction limit reached!
% 0.22/0.44 % (18490)------------------------------
% 0.22/0.44 % (18490)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.44 % (18490)Termination reason: Unknown
% 0.22/0.44 % (18490)Termination phase: Saturation
% 0.22/0.44
% 0.22/0.44 % (18490)Memory used [KB]: 5500
% 0.22/0.44 % (18490)Time elapsed: 0.005 s
% 0.22/0.44 % (18490)Instructions burned: 5 (million)
% 0.22/0.44 % (18490)------------------------------
% 0.22/0.44 % (18490)------------------------------
% 0.22/0.44 % (18493)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.22/0.45 % (18492)Instruction limit reached!
% 0.22/0.45 % (18492)------------------------------
% 0.22/0.45 % (18492)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.45 % (18492)Termination reason: Unknown
% 0.22/0.45 % (18492)Termination phase: Saturation
% 0.22/0.45
% 0.22/0.45 % (18492)Memory used [KB]: 5628
% 0.22/0.45 % (18492)Time elapsed: 0.014 s
% 0.22/0.45 % (18492)Instructions burned: 18 (million)
% 0.22/0.45 % (18492)------------------------------
% 0.22/0.45 % (18492)------------------------------
% 0.22/0.45 % (18499)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.22/0.45 % (18500)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)
% 0.22/0.45 % (18499)Instruction limit reached!
% 0.22/0.45 % (18499)------------------------------
% 0.22/0.45 % (18499)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.45 % (18499)Termination reason: Unknown
% 0.22/0.45 % (18499)Termination phase: Saturation
% 0.22/0.45
% 0.22/0.45 % (18499)Memory used [KB]: 5500
% 0.22/0.45 % (18499)Time elapsed: 0.006 s
% 0.22/0.45 % (18499)Instructions burned: 7 (million)
% 0.22/0.45 % (18499)------------------------------
% 0.22/0.45 % (18499)------------------------------
% 0.22/0.45 % (18500)Refutation not found, incomplete strategy
% 0.22/0.45 % (18500)------------------------------
% 0.22/0.45 % (18500)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.45 % (18500)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.45
% 0.22/0.45
% 0.22/0.45 % (18500)Memory used [KB]: 5500
% 0.22/0.45 % (18500)Time elapsed: 0.006 s
% 0.22/0.45 % (18500)Instructions burned: 4 (million)
% 0.22/0.45 % (18500)------------------------------
% 0.22/0.45 % (18500)------------------------------
% 0.22/0.46 % (18502)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)
% 0.22/0.47 % (18505)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.22/0.47 % (18505)Instruction limit reached!
% 0.22/0.47 % (18505)------------------------------
% 0.22/0.47 % (18505)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.47 % (18505)Termination reason: Unknown
% 0.22/0.47 % (18505)Termination phase: Saturation
% 0.22/0.47
% 0.22/0.47 % (18505)Memory used [KB]: 5500
% 0.22/0.47 % (18505)Time elapsed: 0.005 s
% 0.22/0.47 % (18505)Instructions burned: 5 (million)
% 0.22/0.47 % (18505)------------------------------
% 0.22/0.47 % (18505)------------------------------
% 0.22/0.47 % (18502)Instruction limit reached!
% 0.22/0.47 % (18502)------------------------------
% 0.22/0.47 % (18502)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.47 % (18502)Termination reason: Unknown
% 0.22/0.47 % (18502)Termination phase: Saturation
% 0.22/0.47
% 0.22/0.47 % (18502)Memory used [KB]: 5628
% 0.22/0.47 % (18502)Time elapsed: 0.017 s
% 0.22/0.47 % (18502)Instructions burned: 21 (million)
% 0.22/0.47 % (18502)------------------------------
% 0.22/0.47 % (18502)------------------------------
% 0.22/0.47 % (18507)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)
% 0.22/0.47 % (18509)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.22/0.47 % (18507)Instruction limit reached!
% 0.22/0.47 % (18507)------------------------------
% 0.22/0.47 % (18507)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.47 % (18507)Termination reason: Unknown
% 0.22/0.47 % (18507)Termination phase: Saturation
% 0.22/0.47
% 0.22/0.47 % (18507)Memory used [KB]: 5500
% 0.22/0.47 % (18507)Time elapsed: 0.006 s
% 0.22/0.47 % (18507)Instructions burned: 7 (million)
% 0.22/0.47 % (18507)------------------------------
% 0.22/0.47 % (18507)------------------------------
% 0.22/0.48 % (18448)Instruction limit reached!
% 0.22/0.48 % (18448)------------------------------
% 0.22/0.48 % (18448)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.48 % (18448)Termination reason: Unknown
% 0.22/0.48 % (18448)Termination phase: Saturation
% 0.22/0.48
% 0.22/0.48 % (18448)Memory used [KB]: 6524
% 0.22/0.48 % (18448)Time elapsed: 0.108 s
% 0.22/0.48 % (18448)Instructions burned: 183 (million)
% 0.22/0.48 % (18448)------------------------------
% 0.22/0.48 % (18448)------------------------------
% 0.22/0.48 % (18519)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)
% 0.22/0.49 % (18523)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)
% 0.22/0.49 % (18526)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)
% 0.22/0.49 % (18523)Refutation not found, incomplete strategy
% 0.22/0.49 % (18523)------------------------------
% 0.22/0.49 % (18523)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.49 % (18523)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.49
% 0.22/0.49
% 0.22/0.49 % (18523)Memory used [KB]: 5628
% 0.22/0.49 % (18523)Time elapsed: 0.008 s
% 0.22/0.49 % (18523)Instructions burned: 10 (million)
% 0.22/0.49 % (18523)------------------------------
% 0.22/0.49 % (18523)------------------------------
% 0.22/0.50 % (18531)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.22/0.50 % (18537)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.22/0.50 % (18537)Instruction limit reached!
% 0.22/0.50 % (18537)------------------------------
% 0.22/0.50 % (18537)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.50 % (18537)Termination reason: Unknown
% 0.22/0.50 % (18537)Termination phase: Property scanning
% 0.22/0.50
% 0.22/0.50 % (18537)Memory used [KB]: 1023
% 0.22/0.50 % (18537)Time elapsed: 0.003 s
% 0.22/0.50 % (18537)Instructions burned: 5 (million)
% 0.22/0.50 % (18537)------------------------------
% 0.22/0.50 % (18537)------------------------------
% 0.22/0.51 % (18531)Instruction limit reached!
% 0.22/0.51 % (18531)------------------------------
% 0.22/0.51 % (18531)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.51 % (18531)Termination reason: Unknown
% 0.22/0.51 % (18531)Termination phase: Saturation
% 0.22/0.51
% 0.22/0.51 % (18531)Memory used [KB]: 5756
% 0.22/0.51 % (18531)Time elapsed: 0.009 s
% 0.22/0.51 % (18531)Instructions burned: 17 (million)
% 0.22/0.51 % (18531)------------------------------
% 0.22/0.51 % (18531)------------------------------
% 0.22/0.51 % (18548)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.22/0.52 % (18551)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)
% 0.22/0.52 % (18548)Refutation not found, incomplete strategy
% 0.22/0.52 % (18548)------------------------------
% 0.22/0.52 % (18548)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.52 % (18548)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.52
% 0.22/0.52
% 0.22/0.52 % (18548)Memory used [KB]: 5500
% 0.22/0.52 % (18548)Time elapsed: 0.007 s
% 0.22/0.52 % (18548)Instructions burned: 16 (million)
% 0.22/0.52 % (18548)------------------------------
% 0.22/0.52 % (18548)------------------------------
% 0.22/0.53 % (18558)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)
% 0.22/0.56 % (18551)Instruction limit reached!
% 0.22/0.56 % (18551)------------------------------
% 0.22/0.56 % (18551)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.56 % (18551)Termination reason: Unknown
% 0.22/0.56 % (18551)Termination phase: Saturation
% 0.22/0.56
% 0.22/0.56 % (18551)Memory used [KB]: 5884
% 0.22/0.56 % (18551)Time elapsed: 0.068 s
% 0.22/0.56 % (18551)Instructions burned: 129 (million)
% 0.22/0.56 % (18551)------------------------------
% 0.22/0.56 % (18551)------------------------------
% 1.55/0.56 % (18558)Instruction limit reached!
% 1.55/0.56 % (18558)------------------------------
% 1.55/0.56 % (18558)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.55/0.56 % (18558)Termination reason: Unknown
% 1.55/0.56 % (18558)Termination phase: Saturation
% 1.55/0.56
% 1.55/0.56 % (18558)Memory used [KB]: 6012
% 1.55/0.56 % (18558)Time elapsed: 0.057 s
% 1.55/0.56 % (18558)Instructions burned: 101 (million)
% 1.55/0.56 % (18558)------------------------------
% 1.55/0.56 % (18558)------------------------------
% 1.55/0.57 % (18582)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 1.55/0.57 % (18582)Instruction limit reached!
% 1.55/0.57 % (18582)------------------------------
% 1.55/0.57 % (18582)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.55/0.57 % (18582)Termination reason: Unknown
% 1.55/0.57 % (18582)Termination phase: Function definition elimination
% 1.55/0.57
% 1.55/0.57 % (18582)Memory used [KB]: 1023
% 1.55/0.57 % (18582)Time elapsed: 0.003 s
% 1.55/0.57 % (18582)Instructions burned: 4 (million)
% 1.55/0.57 % (18582)------------------------------
% 1.55/0.57 % (18582)------------------------------
% 1.55/0.57 % (18585)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on theBenchmark for (2997ds/20Mi)
% 1.55/0.58 % (18585)First to succeed.
% 1.55/0.58 % (18591)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on theBenchmark for (2997ds/86Mi)
% 1.67/0.58 % (18585)Refutation found. Thanks to Tanya!
% 1.67/0.58 % SZS status Theorem for theBenchmark
% 1.67/0.58 % SZS output start Proof for theBenchmark
% 1.67/0.58 thf(func_def_0, type, in: $i > $i > $o).
% 1.67/0.58 thf(func_def_2, type, setadjoin: $i > $i > $i).
% 1.67/0.58 thf(func_def_3, type, setunion: $i > $i).
% 1.67/0.58 thf(func_def_4, type, dsetconstr: $i > ($i > $o) > $i).
% 1.67/0.58 thf(func_def_7, type, iskpair: $i > $o).
% 1.67/0.58 thf(func_def_8, type, kpair: $i > $i > $i).
% 1.67/0.58 thf(func_def_10, type, singleton: $i > $o).
% 1.67/0.58 thf(func_def_12, type, kfst: $i > $i).
% 1.67/0.58 thf(func_def_15, type, ksnd: $i > $i).
% 1.67/0.58 thf(func_def_27, type, sK2: $i > $o).
% 1.67/0.58 thf(func_def_38, type, sP13: $o > $o).
% 1.67/0.58 thf(func_def_39, type, sP14: $o > $o).
% 1.67/0.58 thf(func_def_40, type, sP15: $o > $o).
% 1.67/0.58 thf(func_def_41, type, sP16: $o > $o).
% 1.67/0.58 thf(func_def_42, type, sP17: $i > $o).
% 1.67/0.58 thf(func_def_45, type, ph19: !>[X0: $tType]:(X0)).
% 1.67/0.58 thf(f137,plain,(
% 1.67/0.58 $false),
% 1.67/0.58 inference(trivial_inequality_removal,[],[f136])).
% 1.67/0.58 thf(f136,plain,(
% 1.67/0.58 ($true = $false)),
% 1.67/0.58 inference(backward_demodulation,[],[f106,f135])).
% 1.67/0.58 thf(f135,plain,(
% 1.67/0.58 ((sP17 @ sK12) = $false)),
% 1.67/0.58 inference(backward_demodulation,[],[f108,f132])).
% 1.67/0.58 thf(f132,plain,(
% 1.67/0.58 ( ! [X0 : $i,X1 : $i] : (((setunion @ (dsetconstr @ (setunion @ (kpair @ X0 @ X1)) @ (^[Y0 : $i]: ((kpair @ (kfst @ (kpair @ X0 @ X1)) @ Y0) = (kpair @ X0 @ X1))))) = X1)) )),
% 1.67/0.58 inference(equality_resolution,[],[f128])).
% 1.67/0.58 thf(f128,plain,(
% 1.67/0.58 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((kpair @ X2 @ X3) != (kpair @ X0 @ X1)) | ((setunion @ (dsetconstr @ (setunion @ (kpair @ X0 @ X1)) @ (^[Y0 : $i]: ((kpair @ (kfst @ (kpair @ X0 @ X1)) @ Y0) = (kpair @ X0 @ X1))))) = X3)) )),
% 1.67/0.58 inference(superposition,[],[f112,f123])).
% 1.67/0.58 thf(f123,plain,(
% 1.67/0.58 ( ! [X0 : $i,X1 : $i] : (((kpair @ X0 @ X1) = (kpair @ (kfst @ (kpair @ X0 @ X1)) @ (setunion @ (dsetconstr @ (setunion @ (kpair @ X0 @ X1)) @ (^[Y0 : $i]: ((kpair @ (kfst @ (kpair @ X0 @ X1)) @ Y0) = (kpair @ X0 @ X1)))))))) )),
% 1.67/0.58 inference(equality_proxy_clausification,[],[f122])).
% 1.67/0.58 thf(f122,plain,(
% 1.67/0.58 ( ! [X0 : $i,X1 : $i] : ((((kpair @ (kfst @ (kpair @ X0 @ X1)) @ (setunion @ (dsetconstr @ (setunion @ (kpair @ X0 @ X1)) @ (^[Y0 : $i]: ((kpair @ (kfst @ (kpair @ X0 @ X1)) @ Y0) = (kpair @ X0 @ X1)))))) = (kpair @ X0 @ X1)) = $true)) )),
% 1.67/0.58 inference(beta_eta_normalization,[],[f121])).
% 1.67/0.58 thf(f121,plain,(
% 1.67/0.58 ( ! [X0 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((kpair @ (kfst @ (kpair @ X0 @ X1)) @ Y0) = (kpair @ X0 @ X1))) @ (setunion @ (dsetconstr @ (setunion @ (kpair @ X0 @ X1)) @ (^[Y0 : $i]: ((kpair @ (kfst @ (kpair @ X0 @ X1)) @ Y0) = (kpair @ X0 @ X1)))))))) )),
% 1.67/0.58 inference(trivial_inequality_removal,[],[f120])).
% 1.67/0.58 thf(f120,plain,(
% 1.67/0.58 ( ! [X0 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((kpair @ (kfst @ (kpair @ X0 @ X1)) @ Y0) = (kpair @ X0 @ X1))) @ (setunion @ (dsetconstr @ (setunion @ (kpair @ X0 @ X1)) @ (^[Y0 : $i]: ((kpair @ (kfst @ (kpair @ X0 @ X1)) @ Y0) = (kpair @ X0 @ X1))))))) | ($true != $true)) )),
% 1.67/0.58 inference(superposition,[],[f110,f119])).
% 1.67/0.58 thf(f119,plain,(
% 1.67/0.58 ( ! [X0 : $i,X1 : $i] : (((in @ (setunion @ (dsetconstr @ (setunion @ (kpair @ X0 @ X1)) @ (^[Y0 : $i]: ((kpair @ (kfst @ (kpair @ X0 @ X1)) @ Y0) = (kpair @ X0 @ X1))))) @ (dsetconstr @ (setunion @ (kpair @ X0 @ X1)) @ (^[Y0 : $i]: ((kpair @ (kfst @ (kpair @ X0 @ X1)) @ Y0) = (kpair @ X0 @ X1))))) = $true)) )),
% 1.67/0.58 inference(trivial_inequality_removal,[],[f118])).
% 1.67/0.58 thf(f118,plain,(
% 1.67/0.58 ( ! [X0 : $i,X1 : $i] : (((in @ (setunion @ (dsetconstr @ (setunion @ (kpair @ X0 @ X1)) @ (^[Y0 : $i]: ((kpair @ (kfst @ (kpair @ X0 @ X1)) @ Y0) = (kpair @ X0 @ X1))))) @ (dsetconstr @ (setunion @ (kpair @ X0 @ X1)) @ (^[Y0 : $i]: ((kpair @ (kfst @ (kpair @ X0 @ X1)) @ Y0) = (kpair @ X0 @ X1))))) = $true) | ($true != $true)) )),
% 1.67/0.58 inference(superposition,[],[f113,f117])).
% 1.67/0.58 thf(f117,plain,(
% 1.67/0.58 ( ! [X0 : $i,X1 : $i] : (((singleton @ (dsetconstr @ (setunion @ (kpair @ X0 @ X1)) @ (^[Y0 : $i]: ((kpair @ (kfst @ (kpair @ X0 @ X1)) @ Y0) = (kpair @ X0 @ X1))))) = $true)) )),
% 1.67/0.58 inference(trivial_inequality_removal,[],[f116])).
% 1.67/0.58 thf(f116,plain,(
% 1.67/0.58 ( ! [X0 : $i,X1 : $i] : (((singleton @ (dsetconstr @ (setunion @ (kpair @ X0 @ X1)) @ (^[Y0 : $i]: ((kpair @ (kfst @ (kpair @ X0 @ X1)) @ Y0) = (kpair @ X0 @ X1))))) = $true) | ($true != $true)) )),
% 1.67/0.58 inference(superposition,[],[f107,f111])).
% 1.67/0.58 thf(f111,plain,(
% 1.67/0.58 ( ! [X0 : $i,X1 : $i] : (((iskpair @ (kpair @ X1 @ X0)) = $true)) )),
% 1.67/0.58 inference(trivial_inequality_removal,[],[f88])).
% 1.67/0.58 thf(f88,plain,(
% 1.67/0.58 ( ! [X0 : $i,X1 : $i] : (($true != $true) | ((iskpair @ (kpair @ X1 @ X0)) = $true)) )),
% 1.67/0.58 inference(definition_unfolding,[],[f68,f76])).
% 1.67/0.58 thf(f76,plain,(
% 1.67/0.58 (kpairp = $true)),
% 1.67/0.58 inference(cnf_transformation,[],[f60])).
% 1.67/0.58 thf(f60,plain,(
% 1.67/0.58 (ksndsingleton = $true) & (dsetconstrER = $true) & (setukpairinjR = $true) & (theprop = $true) & (kpairp = $true) & ((ksnd @ (kpair @ sK11 @ sK12)) != sK12)),
% 1.67/0.58 inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12])],[f35,f59])).
% 1.67/0.58 thf(f59,plain,(
% 1.67/0.58 ? [X0,X1] : ((ksnd @ (kpair @ X0 @ X1)) != X1) => ((ksnd @ (kpair @ sK11 @ sK12)) != sK12)),
% 1.67/0.58 introduced(choice_axiom,[])).
% 1.67/0.58 thf(f35,plain,(
% 1.67/0.58 (ksndsingleton = $true) & (dsetconstrER = $true) & (setukpairinjR = $true) & (theprop = $true) & (kpairp = $true) & ? [X0,X1] : ((ksnd @ (kpair @ X0 @ X1)) != X1)),
% 1.67/0.58 inference(flattening,[],[f34])).
% 1.67/0.58 thf(f34,plain,(
% 1.67/0.58 ((((? [X0,X1] : ((ksnd @ (kpair @ X0 @ X1)) != X1) & (ksndsingleton = $true)) & (setukpairinjR = $true)) & (theprop = $true)) & (kpairp = $true)) & (dsetconstrER = $true)),
% 1.67/0.58 inference(ennf_transformation,[],[f24])).
% 1.67/0.58 thf(f24,plain,(
% 1.67/0.58 ~((dsetconstrER = $true) => ((kpairp = $true) => ((theprop = $true) => ((setukpairinjR = $true) => ((ksndsingleton = $true) => ! [X0,X1] : ((ksnd @ (kpair @ X0 @ X1)) = X1))))))),
% 1.67/0.58 inference(fool_elimination,[],[f23])).
% 1.67/0.58 thf(f23,plain,(
% 1.67/0.58 ~(dsetconstrER => (kpairp => (theprop => (setukpairinjR => (ksndsingleton => ! [X0,X1] : ((ksnd @ (kpair @ X0 @ X1)) = X1))))))),
% 1.67/0.58 inference(rectify,[],[f11])).
% 1.67/0.58 thf(f11,negated_conjecture,(
% 1.67/0.58 ~(dsetconstrER => (kpairp => (theprop => (setukpairinjR => (ksndsingleton => ! [X2,X3] : ((ksnd @ (kpair @ X2 @ X3)) = X3))))))),
% 1.67/0.58 inference(negated_conjecture,[],[f10])).
% 1.67/0.58 thf(f10,conjecture,(
% 1.67/0.58 dsetconstrER => (kpairp => (theprop => (setukpairinjR => (ksndsingleton => ! [X2,X3] : ((ksnd @ (kpair @ X2 @ X3)) = X3)))))),
% 1.67/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ksndpairEq)).
% 1.67/0.58 thf(f68,plain,(
% 1.67/0.58 ( ! [X0 : $i,X1 : $i] : (((iskpair @ (kpair @ X1 @ X0)) = $true) | (kpairp != $true)) )),
% 1.67/0.58 inference(cnf_transformation,[],[f50])).
% 1.67/0.58 thf(f50,plain,(
% 1.67/0.58 (! [X0,X1] : ((iskpair @ (kpair @ X1 @ X0)) = $true) | (kpairp != $true)) & ((kpairp = $true) | ((iskpair @ (kpair @ sK5 @ sK4)) != $true))),
% 1.67/0.58 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f48,f49])).
% 1.67/0.58 thf(f49,plain,(
% 1.67/0.58 ? [X2,X3] : ((iskpair @ (kpair @ X3 @ X2)) != $true) => ((iskpair @ (kpair @ sK5 @ sK4)) != $true)),
% 1.67/0.58 introduced(choice_axiom,[])).
% 1.67/0.58 thf(f48,plain,(
% 1.67/0.58 (! [X0,X1] : ((iskpair @ (kpair @ X1 @ X0)) = $true) | (kpairp != $true)) & ((kpairp = $true) | ? [X2,X3] : ((iskpair @ (kpair @ X3 @ X2)) != $true))),
% 1.67/0.58 inference(rectify,[],[f47])).
% 1.67/0.58 thf(f47,plain,(
% 1.67/0.58 (! [X0,X1] : ((iskpair @ (kpair @ X1 @ X0)) = $true) | (kpairp != $true)) & ((kpairp = $true) | ? [X0,X1] : ((iskpair @ (kpair @ X1 @ X0)) != $true))),
% 1.67/0.58 inference(nnf_transformation,[],[f32])).
% 1.67/0.58 thf(f32,plain,(
% 1.67/0.58 ! [X0,X1] : ((iskpair @ (kpair @ X1 @ X0)) = $true) <=> (kpairp = $true)),
% 1.67/0.58 inference(fool_elimination,[],[f31])).
% 1.67/0.58 thf(f31,plain,(
% 1.67/0.58 (kpairp = ! [X0,X1] : (iskpair @ (kpair @ X1 @ X0)))),
% 1.67/0.58 inference(rectify,[],[f4])).
% 1.67/0.58 thf(f4,axiom,(
% 1.67/0.58 (kpairp = ! [X3,X2] : (iskpair @ (kpair @ X2 @ X3)))),
% 1.67/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kpairp)).
% 1.67/0.58 thf(f107,plain,(
% 1.67/0.58 ( ! [X0 : $i] : (($true != (iskpair @ X0)) | ($true = (singleton @ (dsetconstr @ (setunion @ X0) @ (^[Y0 : $i]: ((kpair @ (kfst @ X0) @ Y0) = X0)))))) )),
% 1.67/0.58 inference(trivial_inequality_removal,[],[f82])).
% 1.67/0.58 thf(f82,plain,(
% 1.67/0.58 ( ! [X0 : $i] : (($true != (iskpair @ X0)) | ($true = (singleton @ (dsetconstr @ (setunion @ X0) @ (^[Y0 : $i]: ((kpair @ (kfst @ X0) @ Y0) = X0))))) | ($true != $true)) )),
% 1.67/0.58 inference(definition_unfolding,[],[f63,f80])).
% 1.67/0.58 thf(f80,plain,(
% 1.67/0.58 (ksndsingleton = $true)),
% 1.67/0.58 inference(cnf_transformation,[],[f60])).
% 1.67/0.58 thf(f63,plain,(
% 1.67/0.58 ( ! [X0 : $i] : (($true != (iskpair @ X0)) | ($true = (singleton @ (dsetconstr @ (setunion @ X0) @ (^[Y0 : $i]: ((kpair @ (kfst @ X0) @ Y0) = X0))))) | (ksndsingleton != $true)) )),
% 1.67/0.58 inference(cnf_transformation,[],[f42])).
% 1.67/0.58 thf(f42,plain,(
% 1.67/0.58 (! [X0] : (($true != (iskpair @ X0)) | ($true = (singleton @ (dsetconstr @ (setunion @ X0) @ (^[Y0 : $i]: ((kpair @ (kfst @ X0) @ Y0) = X0)))))) | (ksndsingleton != $true)) & ((ksndsingleton = $true) | (($true = (iskpair @ sK0)) & ($true != (singleton @ (dsetconstr @ (setunion @ sK0) @ (^[Y0 : $i]: ((kpair @ (kfst @ sK0) @ Y0) = sK0)))))))),
% 1.67/0.58 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f40,f41])).
% 1.67/0.58 thf(f41,plain,(
% 1.67/0.58 ? [X1] : (($true = (iskpair @ X1)) & ((singleton @ (dsetconstr @ (setunion @ X1) @ (^[Y0 : $i]: ((kpair @ (kfst @ X1) @ Y0) = X1)))) != $true)) => (($true = (iskpair @ sK0)) & ($true != (singleton @ (dsetconstr @ (setunion @ sK0) @ (^[Y0 : $i]: ((kpair @ (kfst @ sK0) @ Y0) = sK0))))))),
% 1.67/0.58 introduced(choice_axiom,[])).
% 1.67/0.58 thf(f40,plain,(
% 1.67/0.58 (! [X0] : (($true != (iskpair @ X0)) | ($true = (singleton @ (dsetconstr @ (setunion @ X0) @ (^[Y0 : $i]: ((kpair @ (kfst @ X0) @ Y0) = X0)))))) | (ksndsingleton != $true)) & ((ksndsingleton = $true) | ? [X1] : (($true = (iskpair @ X1)) & ((singleton @ (dsetconstr @ (setunion @ X1) @ (^[Y0 : $i]: ((kpair @ (kfst @ X1) @ Y0) = X1)))) != $true)))),
% 1.67/0.58 inference(rectify,[],[f39])).
% 1.67/0.58 thf(f39,plain,(
% 1.67/0.58 (! [X0] : (($true != (iskpair @ X0)) | ($true = (singleton @ (dsetconstr @ (setunion @ X0) @ (^[Y0 : $i]: ((kpair @ (kfst @ X0) @ Y0) = X0)))))) | (ksndsingleton != $true)) & ((ksndsingleton = $true) | ? [X0] : (($true = (iskpair @ X0)) & ($true != (singleton @ (dsetconstr @ (setunion @ X0) @ (^[Y0 : $i]: ((kpair @ (kfst @ X0) @ Y0) = X0)))))))),
% 1.67/0.58 inference(nnf_transformation,[],[f38])).
% 1.67/0.58 thf(f38,plain,(
% 1.67/0.58 ! [X0] : (($true != (iskpair @ X0)) | ($true = (singleton @ (dsetconstr @ (setunion @ X0) @ (^[Y0 : $i]: ((kpair @ (kfst @ X0) @ Y0) = X0)))))) <=> (ksndsingleton = $true)),
% 1.67/0.58 inference(ennf_transformation,[],[f14])).
% 1.67/0.58 thf(f14,plain,(
% 1.67/0.58 (ksndsingleton = $true) <=> ! [X0] : (($true = (iskpair @ X0)) => ($true = (singleton @ (dsetconstr @ (setunion @ X0) @ (^[Y0 : $i]: ((kpair @ (kfst @ X0) @ Y0) = X0))))))),
% 1.67/0.58 inference(fool_elimination,[],[f13])).
% 1.67/0.58 thf(f13,plain,(
% 1.67/0.58 (! [X0] : ((iskpair @ X0) => (singleton @ (dsetconstr @ (setunion @ X0) @ (^[X1 : $i] : (((kpair @ (kfst @ X0) @ X1) = X0)))))) = ksndsingleton)),
% 1.67/0.58 inference(rectify,[],[f8])).
% 1.67/0.58 thf(f8,axiom,(
% 1.67/0.58 (! [X6] : ((iskpair @ X6) => (singleton @ (dsetconstr @ (setunion @ X6) @ (^[X2 : $i] : (((kpair @ (kfst @ X6) @ X2) = X6)))))) = ksndsingleton)),
% 1.67/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ksndsingleton)).
% 1.67/0.58 thf(f113,plain,(
% 1.67/0.58 ( ! [X1 : $i] : (((singleton @ X1) != $true) | ($true = (in @ (setunion @ X1) @ X1))) )),
% 1.67/0.58 inference(trivial_inequality_removal,[],[f95])).
% 1.67/0.58 thf(f95,plain,(
% 1.67/0.58 ( ! [X1 : $i] : (($true != $true) | ($true = (in @ (setunion @ X1) @ X1)) | ((singleton @ X1) != $true)) )),
% 1.67/0.58 inference(definition_unfolding,[],[f72,f77])).
% 1.67/0.58 thf(f77,plain,(
% 1.67/0.58 (theprop = $true)),
% 1.67/0.58 inference(cnf_transformation,[],[f60])).
% 1.67/0.58 thf(f72,plain,(
% 1.67/0.58 ( ! [X1 : $i] : (((singleton @ X1) != $true) | ($true = (in @ (setunion @ X1) @ X1)) | (theprop != $true)) )),
% 1.67/0.58 inference(cnf_transformation,[],[f58])).
% 1.67/0.58 thf(f58,plain,(
% 1.67/0.58 ((theprop = $true) | (((singleton @ sK10) = $true) & ($true != (in @ (setunion @ sK10) @ sK10)))) & (! [X1] : (((singleton @ X1) != $true) | ($true = (in @ (setunion @ X1) @ X1))) | (theprop != $true))),
% 1.67/0.58 inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f56,f57])).
% 1.67/0.58 thf(f57,plain,(
% 1.67/0.58 ? [X0] : (($true = (singleton @ X0)) & ($true != (in @ (setunion @ X0) @ X0))) => (((singleton @ sK10) = $true) & ($true != (in @ (setunion @ sK10) @ sK10)))),
% 1.67/0.58 introduced(choice_axiom,[])).
% 1.67/0.58 thf(f56,plain,(
% 1.67/0.58 ((theprop = $true) | ? [X0] : (($true = (singleton @ X0)) & ($true != (in @ (setunion @ X0) @ X0)))) & (! [X1] : (((singleton @ X1) != $true) | ($true = (in @ (setunion @ X1) @ X1))) | (theprop != $true))),
% 1.67/0.58 inference(rectify,[],[f55])).
% 1.67/0.58 thf(f55,plain,(
% 1.67/0.58 ((theprop = $true) | ? [X0] : (($true = (singleton @ X0)) & ($true != (in @ (setunion @ X0) @ X0)))) & (! [X0] : (($true != (singleton @ X0)) | ($true = (in @ (setunion @ X0) @ X0))) | (theprop != $true))),
% 1.67/0.58 inference(nnf_transformation,[],[f33])).
% 1.67/0.58 thf(f33,plain,(
% 1.67/0.58 (theprop = $true) <=> ! [X0] : (($true != (singleton @ X0)) | ($true = (in @ (setunion @ X0) @ X0)))),
% 1.67/0.58 inference(ennf_transformation,[],[f16])).
% 1.67/0.58 thf(f16,plain,(
% 1.67/0.58 (theprop = $true) <=> ! [X0] : (($true = (singleton @ X0)) => ($true = (in @ (setunion @ X0) @ X0)))),
% 1.67/0.58 inference(fool_elimination,[],[f15])).
% 1.67/0.58 thf(f15,plain,(
% 1.67/0.58 (theprop = ! [X0] : ((singleton @ X0) => (in @ (setunion @ X0) @ X0)))),
% 1.67/0.58 inference(rectify,[],[f6])).
% 1.67/0.58 thf(f6,axiom,(
% 1.67/0.58 (theprop = ! [X4] : ((singleton @ X4) => (in @ (setunion @ X4) @ X4)))),
% 1.67/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theprop)).
% 1.67/0.58 thf(f110,plain,(
% 1.67/0.58 ( ! [X3 : $i,X4 : $i > $o,X5 : $i] : (($true != (in @ X3 @ (dsetconstr @ X5 @ X4))) | ($true = (X4 @ X3))) )),
% 1.67/0.58 inference(beta_eta_normalization,[],[f109])).
% 1.67/0.58 thf(f109,plain,(
% 1.67/0.58 ( ! [X3 : $i,X4 : $i > $o,X5 : $i] : (($true = (X4 @ X3)) | ((in @ X3 @ (dsetconstr @ X5 @ (^[Y0 : $i]: (X4 @ Y0)))) != $true)) )),
% 1.67/0.58 inference(trivial_inequality_removal,[],[f87])).
% 1.67/0.58 thf(f87,plain,(
% 1.67/0.58 ( ! [X3 : $i,X4 : $i > $o,X5 : $i] : (((in @ X3 @ (dsetconstr @ X5 @ (^[Y0 : $i]: (X4 @ Y0)))) != $true) | ($true != $true) | ($true = (X4 @ X3))) )),
% 1.67/0.58 inference(definition_unfolding,[],[f64,f79])).
% 1.67/0.58 thf(f79,plain,(
% 1.67/0.58 (dsetconstrER = $true)),
% 1.67/0.58 inference(cnf_transformation,[],[f60])).
% 1.67/0.58 thf(f64,plain,(
% 1.67/0.58 ( ! [X3 : $i,X4 : $i > $o,X5 : $i] : (($true = (X4 @ X3)) | ((in @ X3 @ (dsetconstr @ X5 @ (^[Y0 : $i]: (X4 @ Y0)))) != $true) | (dsetconstrER != $true)) )),
% 1.67/0.58 inference(cnf_transformation,[],[f46])).
% 1.67/0.58 thf(f46,plain,(
% 1.67/0.58 ((dsetconstrER = $true) | (((sK2 @ sK1) != $true) & ((in @ sK1 @ (dsetconstr @ sK3 @ (^[Y0 : $i]: (sK2 @ Y0)))) = $true))) & (! [X3,X4 : $i > $o,X5] : (($true = (X4 @ X3)) | ((in @ X3 @ (dsetconstr @ X5 @ (^[Y0 : $i]: (X4 @ Y0)))) != $true)) | (dsetconstrER != $true))),
% 1.67/0.58 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f44,f45])).
% 1.67/0.58 thf(f45,plain,(
% 1.67/0.58 ? [X0,X1 : $i > $o,X2] : (((X1 @ X0) != $true) & ((in @ X0 @ (dsetconstr @ X2 @ (^[Y0 : $i]: (X1 @ Y0)))) = $true)) => (((sK2 @ sK1) != $true) & ((in @ sK1 @ (dsetconstr @ sK3 @ (^[Y0 : $i]: (sK2 @ Y0)))) = $true))),
% 1.67/0.58 introduced(choice_axiom,[])).
% 1.67/0.58 thf(f44,plain,(
% 1.67/0.58 ((dsetconstrER = $true) | ? [X0,X1 : $i > $o,X2] : (((X1 @ X0) != $true) & ((in @ X0 @ (dsetconstr @ X2 @ (^[Y0 : $i]: (X1 @ Y0)))) = $true))) & (! [X3,X4 : $i > $o,X5] : (($true = (X4 @ X3)) | ((in @ X3 @ (dsetconstr @ X5 @ (^[Y0 : $i]: (X4 @ Y0)))) != $true)) | (dsetconstrER != $true))),
% 1.67/0.58 inference(rectify,[],[f43])).
% 1.67/0.58 thf(f43,plain,(
% 1.67/0.58 ((dsetconstrER = $true) | ? [X0,X1 : $i > $o,X2] : (((X1 @ X0) != $true) & ((in @ X0 @ (dsetconstr @ X2 @ (^[Y0 : $i]: (X1 @ Y0)))) = $true))) & (! [X0,X1 : $i > $o,X2] : (((X1 @ X0) = $true) | ((in @ X0 @ (dsetconstr @ X2 @ (^[Y0 : $i]: (X1 @ Y0)))) != $true)) | (dsetconstrER != $true))),
% 1.67/0.58 inference(nnf_transformation,[],[f36])).
% 1.67/0.58 thf(f36,plain,(
% 1.67/0.58 (dsetconstrER = $true) <=> ! [X0,X1 : $i > $o,X2] : (((X1 @ X0) = $true) | ((in @ X0 @ (dsetconstr @ X2 @ (^[Y0 : $i]: (X1 @ Y0)))) != $true))),
% 1.67/0.58 inference(ennf_transformation,[],[f30])).
% 1.67/0.58 thf(f30,plain,(
% 1.67/0.58 ! [X0,X1 : $i > $o,X2] : (((in @ X0 @ (dsetconstr @ X2 @ (^[Y0 : $i]: (X1 @ Y0)))) = $true) => ((X1 @ X0) = $true)) <=> (dsetconstrER = $true)),
% 1.67/0.58 inference(fool_elimination,[],[f29])).
% 1.67/0.58 thf(f29,plain,(
% 1.67/0.58 (dsetconstrER = ! [X0,X1 : $i > $o,X2] : ((in @ X0 @ (dsetconstr @ X2 @ (^[X3 : $i] : (X1 @ X3)))) => (X1 @ X0)))),
% 1.67/0.58 inference(rectify,[],[f1])).
% 1.67/0.58 thf(f1,axiom,(
% 1.67/0.58 (dsetconstrER = ! [X2,X1 : $i > $o,X0] : ((in @ X2 @ (dsetconstr @ X0 @ (^[X3 : $i] : (X1 @ X3)))) => (X1 @ X2)))),
% 1.67/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dsetconstrER)).
% 1.67/0.58 thf(f112,plain,(
% 1.67/0.58 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((kpair @ X2 @ X0) != (kpair @ X1 @ X3)) | (X0 = X3)) )),
% 1.67/0.58 inference(trivial_inequality_removal,[],[f90])).
% 1.67/0.58 thf(f90,plain,(
% 1.67/0.58 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((kpair @ X2 @ X0) != (kpair @ X1 @ X3)) | ($true != $true) | (X0 = X3)) )),
% 1.67/0.58 inference(definition_unfolding,[],[f71,f78])).
% 1.67/0.58 thf(f78,plain,(
% 1.67/0.58 (setukpairinjR = $true)),
% 1.67/0.58 inference(cnf_transformation,[],[f60])).
% 1.67/0.58 thf(f71,plain,(
% 1.67/0.58 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : ((X0 = X3) | ((kpair @ X2 @ X0) != (kpair @ X1 @ X3)) | (setukpairinjR != $true)) )),
% 1.67/0.58 inference(cnf_transformation,[],[f54])).
% 1.67/0.58 thf(f54,plain,(
% 1.67/0.58 (! [X0,X1,X2,X3] : ((X0 = X3) | ((kpair @ X2 @ X0) != (kpair @ X1 @ X3))) | (setukpairinjR != $true)) & ((setukpairinjR = $true) | ((sK9 != sK6) & ((kpair @ sK8 @ sK6) = (kpair @ sK7 @ sK9))))),
% 1.67/0.58 inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9])],[f52,f53])).
% 1.67/0.58 thf(f53,plain,(
% 1.67/0.58 ? [X4,X5,X6,X7] : ((X4 != X7) & ((kpair @ X6 @ X4) = (kpair @ X5 @ X7))) => ((sK9 != sK6) & ((kpair @ sK8 @ sK6) = (kpair @ sK7 @ sK9)))),
% 1.67/0.58 introduced(choice_axiom,[])).
% 1.67/0.58 thf(f52,plain,(
% 1.67/0.58 (! [X0,X1,X2,X3] : ((X0 = X3) | ((kpair @ X2 @ X0) != (kpair @ X1 @ X3))) | (setukpairinjR != $true)) & ((setukpairinjR = $true) | ? [X4,X5,X6,X7] : ((X4 != X7) & ((kpair @ X6 @ X4) = (kpair @ X5 @ X7))))),
% 1.67/0.58 inference(rectify,[],[f51])).
% 1.67/0.58 thf(f51,plain,(
% 1.67/0.58 (! [X0,X1,X2,X3] : ((X0 = X3) | ((kpair @ X2 @ X0) != (kpair @ X1 @ X3))) | (setukpairinjR != $true)) & ((setukpairinjR = $true) | ? [X0,X1,X2,X3] : ((X0 != X3) & ((kpair @ X2 @ X0) = (kpair @ X1 @ X3))))),
% 1.67/0.58 inference(nnf_transformation,[],[f37])).
% 1.67/0.58 thf(f37,plain,(
% 1.67/0.58 ! [X0,X1,X2,X3] : ((X0 = X3) | ((kpair @ X2 @ X0) != (kpair @ X1 @ X3))) <=> (setukpairinjR = $true)),
% 1.67/0.58 inference(ennf_transformation,[],[f28])).
% 1.67/0.58 thf(f28,plain,(
% 1.67/0.58 (setukpairinjR = $true) <=> ! [X0,X1,X2,X3] : (((kpair @ X2 @ X0) = (kpair @ X1 @ X3)) => (X0 = X3))),
% 1.67/0.58 inference(fool_elimination,[],[f27])).
% 1.67/0.58 thf(f27,plain,(
% 1.67/0.58 (! [X0,X1,X2,X3] : (((kpair @ X2 @ X0) = (kpair @ X1 @ X3)) => (X0 = X3)) = setukpairinjR)),
% 1.67/0.58 inference(rectify,[],[f7])).
% 1.67/0.58 thf(f7,axiom,(
% 1.67/0.58 (! [X3,X5,X2,X6] : (((kpair @ X2 @ X3) = (kpair @ X5 @ X6)) => (X3 = X6)) = setukpairinjR)),
% 1.67/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setukpairinjR)).
% 1.67/0.58 thf(f108,plain,(
% 1.67/0.58 ((sP17 @ (setunion @ (dsetconstr @ (setunion @ (kpair @ sK11 @ sK12)) @ (^[Y0 : $i]: ((kpair @ (kfst @ (kpair @ sK11 @ sK12)) @ Y0) = (kpair @ sK11 @ sK12)))))) = $false)),
% 1.67/0.58 inference(beta_eta_normalization,[],[f105])).
% 1.67/0.58 thf(f105,plain,(
% 1.67/0.58 ((sP17 @ ((^[Y0 : $i]: (setunion @ (dsetconstr @ (setunion @ Y0) @ (^[Y1 : $i]: ((kpair @ (kfst @ Y0) @ Y1) = Y0))))) @ (kpair @ sK11 @ sK12))) = $false)),
% 1.67/0.58 introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP17])])).
% 1.67/0.58 thf(f106,plain,(
% 1.67/0.58 ((sP17 @ sK12) = $true)),
% 1.67/0.58 inference(inequality_splitting,[],[f96,f105])).
% 1.67/0.58 thf(f96,plain,(
% 1.67/0.58 (((^[Y0 : $i]: (setunion @ (dsetconstr @ (setunion @ Y0) @ (^[Y1 : $i]: ((kpair @ (kfst @ Y0) @ Y1) = Y0))))) @ (kpair @ sK11 @ sK12)) != sK12)),
% 1.67/0.58 inference(definition_unfolding,[],[f75,f81])).
% 1.67/0.58 thf(f81,plain,(
% 1.67/0.58 (ksnd = (^[Y0 : $i]: (setunion @ (dsetconstr @ (setunion @ Y0) @ (^[Y1 : $i]: ((kpair @ (kfst @ Y0) @ Y1) = Y0))))))),
% 1.67/0.58 inference(cnf_transformation,[],[f26])).
% 1.67/0.58 thf(f26,plain,(
% 1.67/0.58 (ksnd = (^[Y0 : $i]: (setunion @ (dsetconstr @ (setunion @ Y0) @ (^[Y1 : $i]: ((kpair @ (kfst @ Y0) @ Y1) = Y0))))))),
% 1.67/0.58 inference(fool_elimination,[],[f25])).
% 1.67/0.58 thf(f25,plain,(
% 1.67/0.58 ((^[X0 : $i] : (setunion @ (dsetconstr @ (setunion @ X0) @ (^[X1 : $i] : (((kpair @ (kfst @ X0) @ X1) = X0)))))) = ksnd)),
% 1.67/0.58 inference(rectify,[],[f9])).
% 1.67/0.58 thf(f9,axiom,(
% 1.67/0.58 ((^[X6 : $i] : (setunion @ (dsetconstr @ (setunion @ X6) @ (^[X2 : $i] : (((kpair @ (kfst @ X6) @ X2) = X6)))))) = ksnd)),
% 1.67/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ksnd)).
% 1.67/0.58 thf(f75,plain,(
% 1.67/0.58 ((ksnd @ (kpair @ sK11 @ sK12)) != sK12)),
% 1.67/0.58 inference(cnf_transformation,[],[f60])).
% 1.67/0.58 % SZS output end Proof for theBenchmark
% 1.67/0.58 % (18585)------------------------------
% 1.67/0.58 % (18585)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.67/0.58 % (18585)Termination reason: Refutation
% 1.67/0.58
% 1.67/0.58 % (18585)Memory used [KB]: 5628
% 1.67/0.58 % (18585)Time elapsed: 0.009 s
% 1.67/0.58 % (18585)Instructions burned: 17 (million)
% 1.67/0.58 % (18585)------------------------------
% 1.67/0.58 % (18585)------------------------------
% 1.67/0.58 % (18445)Success in time 0.227 s
%------------------------------------------------------------------------------