TSTP Solution File: SEU708^2 by Vampire---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SEU708^2 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n023.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 15:42:40 EDT 2024
% Result : Theorem 1.17s 0.51s
% Output : Refutation 1.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU708^2 : TPTP v8.2.0. Released v3.7.0.
% 0.07/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n023.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 14:31:09 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.35 This is a TH0_THM_EQU_NAR problem
% 0.12/0.36 Running higher-order theorem proving
% 0.12/0.36 Running /export/starexec/sandbox/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/benchmark/theBenchmark.p -m 16384 -t 300
% 0.12/0.38 % (6565)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)
% 0.12/0.38 % (6564)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)
% 0.12/0.38 % (6566)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.12/0.38 % (6567)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)
% 0.12/0.38 % (6563)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.12/0.38 % (6568)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)
% 0.12/0.38 % (6569)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.12/0.38 % (6566)Instruction limit reached!
% 0.12/0.38 % (6566)------------------------------
% 0.12/0.38 % (6566)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.38 % (6566)Termination reason: Unknown
% 0.12/0.38 % (6566)Termination phase: Preprocessing 3
% 0.12/0.38
% 0.12/0.38 % (6566)Memory used [KB]: 1023
% 0.12/0.38 % (6566)Time elapsed: 0.004 s
% 0.12/0.38 % (6566)Instructions burned: 2 (million)
% 0.12/0.38 % (6566)------------------------------
% 0.12/0.38 % (6566)------------------------------
% 0.12/0.38 % (6567)Instruction limit reached!
% 0.12/0.38 % (6567)------------------------------
% 0.12/0.38 % (6567)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.38 % (6567)Termination reason: Unknown
% 0.12/0.38 % (6567)Termination phase: Property scanning
% 0.12/0.38
% 0.12/0.38 % (6567)Memory used [KB]: 1023
% 0.12/0.38 % (6567)Time elapsed: 0.004 s
% 0.12/0.38 % (6567)Instructions burned: 3 (million)
% 0.12/0.38 % (6567)------------------------------
% 0.12/0.38 % (6567)------------------------------
% 0.12/0.38 % (6564)Instruction limit reached!
% 0.12/0.38 % (6564)------------------------------
% 0.12/0.38 % (6564)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.38 % (6564)Termination reason: Unknown
% 0.12/0.38 % (6564)Termination phase: Saturation
% 0.12/0.38
% 0.12/0.38 % (6564)Memory used [KB]: 1023
% 0.12/0.38 % (6564)Time elapsed: 0.004 s
% 0.12/0.38 % (6564)Instructions burned: 4 (million)
% 0.12/0.38 % (6564)------------------------------
% 0.12/0.38 % (6564)------------------------------
% 0.12/0.38 % (6568)Refutation not found, incomplete strategy
% 0.12/0.38 % (6568)------------------------------
% 0.12/0.38 % (6568)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.38 % (6568)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.38
% 0.12/0.38
% 0.12/0.38 % (6568)Memory used [KB]: 5628
% 0.12/0.38 % (6568)Time elapsed: 0.008 s
% 0.12/0.38 % (6568)Instructions burned: 7 (million)
% 0.12/0.38 % (6568)------------------------------
% 0.12/0.38 % (6568)------------------------------
% 0.12/0.39 % (6565)Refutation not found, incomplete strategy
% 0.12/0.39 % (6565)------------------------------
% 0.12/0.39 % (6565)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.39 % (6565)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.39
% 0.12/0.39
% 0.12/0.39 % (6565)Memory used [KB]: 5628
% 0.12/0.39 % (6565)Time elapsed: 0.010 s
% 0.12/0.39 % (6565)Instructions burned: 12 (million)
% 0.12/0.39 % (6565)------------------------------
% 0.12/0.39 % (6565)------------------------------
% 0.12/0.39 % (6569)Instruction limit reached!
% 0.12/0.39 % (6569)------------------------------
% 0.12/0.39 % (6569)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.39 % (6569)Termination reason: Unknown
% 0.12/0.39 % (6569)Termination phase: Saturation
% 0.12/0.39
% 0.12/0.39 % (6569)Memory used [KB]: 5628
% 0.12/0.39 % (6569)Time elapsed: 0.015 s
% 0.12/0.39 % (6569)Instructions burned: 18 (million)
% 0.12/0.39 % (6569)------------------------------
% 0.12/0.39 % (6569)------------------------------
% 0.21/0.39 % (6570)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.39 % (6571)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.40 % (6572)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.21/0.40 % (6570)Instruction limit reached!
% 0.21/0.40 % (6570)------------------------------
% 0.21/0.40 % (6570)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.40 % (6570)Termination reason: Unknown
% 0.21/0.40 % (6570)Termination phase: Property scanning
% 0.21/0.40
% 0.21/0.40 % (6570)Memory used [KB]: 1023
% 0.21/0.40 % (6570)Time elapsed: 0.004 s
% 0.21/0.40 % (6570)Instructions burned: 3 (million)
% 0.21/0.40 % (6570)------------------------------
% 0.21/0.40 % (6570)------------------------------
% 0.21/0.40 % (6573)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.40 % (6573)Instruction limit reached!
% 0.21/0.40 % (6573)------------------------------
% 0.21/0.40 % (6573)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.40 % (6573)Termination reason: Unknown
% 0.21/0.40 % (6573)Termination phase: Property scanning
% 0.21/0.40
% 0.21/0.40 % (6573)Memory used [KB]: 1023
% 0.21/0.40 % (6573)Time elapsed: 0.004 s
% 0.21/0.40 % (6573)Instructions burned: 3 (million)
% 0.21/0.40 % (6573)------------------------------
% 0.21/0.40 % (6573)------------------------------
% 0.21/0.40 % (6574)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.21/0.40 % (6572)Refutation not found, incomplete strategy
% 0.21/0.40 % (6572)------------------------------
% 0.21/0.40 % (6572)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.40 % (6572)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.40
% 0.21/0.40
% 0.21/0.40 % (6572)Memory used [KB]: 5628
% 0.21/0.40 % (6572)Time elapsed: 0.011 s
% 0.21/0.40 % (6572)Instructions burned: 10 (million)
% 0.21/0.40 % (6572)------------------------------
% 0.21/0.40 % (6572)------------------------------
% 0.21/0.41 % (6575)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.41 % (6575)Instruction limit reached!
% 0.21/0.41 % (6575)------------------------------
% 0.21/0.41 % (6575)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.41 % (6575)Termination reason: Unknown
% 0.21/0.41 % (6575)Termination phase: Saturation
% 0.21/0.41
% 0.21/0.41 % (6575)Memory used [KB]: 1023
% 0.21/0.41 % (6575)Time elapsed: 0.007 s
% 0.21/0.41 % (6575)Instructions burned: 8 (million)
% 0.21/0.41 % (6575)------------------------------
% 0.21/0.41 % (6575)------------------------------
% 0.21/0.41 % (6576)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.42 % (6571)Instruction limit reached!
% 0.21/0.42 % (6571)------------------------------
% 0.21/0.42 % (6571)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.42 % (6571)Termination reason: Unknown
% 0.21/0.42 % (6571)Termination phase: Saturation
% 0.21/0.42
% 0.21/0.42 % (6571)Memory used [KB]: 5756
% 0.21/0.42 % (6571)Time elapsed: 0.025 s
% 0.21/0.42 % (6571)Instructions burned: 37 (million)
% 0.21/0.42 % (6571)------------------------------
% 0.21/0.42 % (6571)------------------------------
% 0.21/0.42 % (6577)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.42 % (6577)Instruction limit reached!
% 0.21/0.42 % (6577)------------------------------
% 0.21/0.42 % (6577)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.42 % (6577)Termination reason: Unknown
% 0.21/0.42 % (6577)Termination phase: Property scanning
% 0.21/0.42
% 0.21/0.42 % (6577)Memory used [KB]: 1023
% 0.21/0.42 % (6577)Time elapsed: 0.004 s
% 0.21/0.42 % (6577)Instructions burned: 3 (million)
% 0.21/0.42 % (6577)------------------------------
% 0.21/0.42 % (6577)------------------------------
% 0.21/0.42 % (6578)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.42 % (6578)Instruction limit reached!
% 0.21/0.42 % (6578)------------------------------
% 0.21/0.42 % (6578)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.42 % (6578)Termination reason: Unknown
% 0.21/0.42 % (6578)Termination phase: Property scanning
% 0.21/0.42
% 0.21/0.42 % (6578)Memory used [KB]: 1023
% 0.21/0.42 % (6578)Time elapsed: 0.004 s
% 0.21/0.42 % (6578)Instructions burned: 3 (million)
% 0.21/0.42 % (6578)------------------------------
% 0.21/0.42 % (6578)------------------------------
% 0.21/0.42 % (6576)Instruction limit reached!
% 0.21/0.42 % (6576)------------------------------
% 0.21/0.42 % (6576)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.42 % (6576)Termination reason: Unknown
% 0.21/0.42 % (6576)Termination phase: Saturation
% 0.21/0.42
% 0.21/0.42 % (6576)Memory used [KB]: 5884
% 0.21/0.42 % (6576)Time elapsed: 0.014 s
% 0.21/0.42 % (6576)Instructions burned: 16 (million)
% 0.21/0.42 % (6576)------------------------------
% 0.21/0.42 % (6576)------------------------------
% 0.21/0.43 % (6579)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.43 % (6579)Refutation not found, incomplete strategy
% 0.21/0.43 % (6579)------------------------------
% 0.21/0.43 % (6579)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.43 % (6579)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.43
% 0.21/0.43
% 0.21/0.43 % (6579)Memory used [KB]: 5500
% 0.21/0.43 % (6579)Time elapsed: 0.005 s
% 0.21/0.43 % (6579)Instructions burned: 4 (million)
% 0.21/0.43 % (6579)------------------------------
% 0.21/0.43 % (6579)------------------------------
% 0.21/0.43 % (6580)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.43 % (6580)Instruction limit reached!
% 0.21/0.43 % (6580)------------------------------
% 0.21/0.43 % (6580)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.43 % (6580)Termination reason: Unknown
% 0.21/0.43 % (6580)Termination phase: Property scanning
% 0.21/0.43
% 0.21/0.43 % (6580)Memory used [KB]: 1023
% 0.21/0.43 % (6580)Time elapsed: 0.004 s
% 0.21/0.43 % (6580)Instructions burned: 3 (million)
% 0.21/0.43 % (6580)------------------------------
% 0.21/0.43 % (6580)------------------------------
% 0.21/0.44 % (6581)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.44 % (6582)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.21/0.44 % (6581)Instruction limit reached!
% 0.21/0.44 % (6581)------------------------------
% 0.21/0.44 % (6581)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.44 % (6581)Termination reason: Unknown
% 0.21/0.44 % (6581)Termination phase: Saturation
% 0.21/0.44
% 0.21/0.44 % (6581)Memory used [KB]: 5500
% 0.21/0.44 % (6581)Time elapsed: 0.005 s
% 0.21/0.44 % (6581)Instructions burned: 4 (million)
% 0.21/0.44 % (6581)------------------------------
% 0.21/0.44 % (6581)------------------------------
% 0.21/0.44 % (6583)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.21/0.45 % (6585)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.45 % (6585)Instruction limit reached!
% 0.21/0.45 % (6585)------------------------------
% 0.21/0.45 % (6585)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.45 % (6585)Termination reason: Unknown
% 0.21/0.45 % (6585)Termination phase: Saturation
% 0.21/0.45
% 0.21/0.45 % (6585)Memory used [KB]: 5500
% 0.21/0.45 % (6585)Time elapsed: 0.006 s
% 0.21/0.45 % (6585)Instructions burned: 6 (million)
% 0.21/0.45 % (6585)------------------------------
% 0.21/0.45 % (6585)------------------------------
% 0.21/0.45 % (6582)Instruction limit reached!
% 0.21/0.45 % (6582)------------------------------
% 0.21/0.45 % (6582)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.45 % (6582)Termination reason: Unknown
% 0.21/0.45 % (6582)Termination phase: Saturation
% 0.21/0.45
% 0.21/0.45 % (6582)Memory used [KB]: 5628
% 0.21/0.45 % (6582)Time elapsed: 0.014 s
% 0.21/0.45 % (6582)Instructions burned: 18 (million)
% 0.21/0.45 % (6582)------------------------------
% 0.21/0.45 % (6582)------------------------------
% 0.21/0.45 % (6586)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)
% 0.21/0.45 % (6587)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 % (6586)Refutation not found, incomplete strategy
% 0.21/0.45 % (6586)------------------------------
% 0.21/0.45 % (6586)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.45 % (6586)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.45
% 0.21/0.45
% 0.21/0.45 % (6586)Memory used [KB]: 5500
% 0.21/0.45 % (6586)Time elapsed: 0.006 s
% 0.21/0.45 % (6586)Instructions burned: 5 (million)
% 0.21/0.45 % (6586)------------------------------
% 0.21/0.45 % (6586)------------------------------
% 0.21/0.46 % (6589)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 % (6588)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.21/0.47 % (6587)Instruction limit reached!
% 0.21/0.47 % (6587)------------------------------
% 0.21/0.47 % (6587)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.47 % (6587)Termination reason: Unknown
% 0.21/0.47 % (6587)Termination phase: Saturation
% 0.21/0.47
% 0.21/0.47 % (6587)Memory used [KB]: 5628
% 0.21/0.47 % (6587)Time elapsed: 0.015 s
% 0.21/0.47 % (6587)Instructions burned: 21 (million)
% 0.21/0.47 % (6587)------------------------------
% 0.21/0.47 % (6587)------------------------------
% 0.21/0.47 % (6588)Instruction limit reached!
% 0.21/0.47 % (6588)------------------------------
% 0.21/0.47 % (6588)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.47 % (6588)Termination reason: Unknown
% 0.21/0.47 % (6588)Termination phase: Saturation
% 0.21/0.47
% 0.21/0.47 % (6588)Memory used [KB]: 5500
% 0.21/0.47 % (6588)Time elapsed: 0.005 s
% 0.21/0.47 % (6588)Instructions burned: 6 (million)
% 0.21/0.47 % (6588)------------------------------
% 0.21/0.47 % (6588)------------------------------
% 0.21/0.47 % (6589)Instruction limit reached!
% 0.21/0.47 % (6589)------------------------------
% 0.21/0.47 % (6589)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.47 % (6589)Termination reason: Unknown
% 0.21/0.47 % (6589)Termination phase: Saturation
% 0.21/0.47
% 0.21/0.47 % (6589)Memory used [KB]: 5500
% 0.21/0.47 % (6589)Time elapsed: 0.005 s
% 0.21/0.47 % (6589)Instructions burned: 8 (million)
% 0.21/0.47 % (6589)------------------------------
% 0.21/0.47 % (6589)------------------------------
% 0.21/0.47 % (6590)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.21/0.48 % (6590)Refutation not found, incomplete strategy
% 0.21/0.48 % (6590)------------------------------
% 0.21/0.48 % (6590)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.48 % (6590)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.48
% 0.21/0.48
% 0.21/0.48 % (6590)Memory used [KB]: 5628
% 0.21/0.48 % (6590)Time elapsed: 0.007 s
% 0.21/0.48 % (6590)Instructions burned: 11 (million)
% 0.21/0.48 % (6590)------------------------------
% 0.21/0.48 % (6590)------------------------------
% 0.21/0.48 % (6591)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)
% 0.21/0.48 % (6593)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2999ds/879Mi)
% 0.21/0.48 % (6593)Refutation not found, incomplete strategy
% 0.21/0.48 % (6593)------------------------------
% 0.21/0.48 % (6593)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.48 % (6593)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.48
% 0.21/0.48
% 0.21/0.48 % (6593)Memory used [KB]: 5628
% 0.21/0.48 % (6593)Time elapsed: 0.005 s
% 0.21/0.48 % (6593)Instructions burned: 10 (million)
% 0.21/0.48 % (6593)------------------------------
% 0.21/0.48 % (6593)------------------------------
% 0.21/0.48 % (6563)Instruction limit reached!
% 0.21/0.48 % (6563)------------------------------
% 0.21/0.48 % (6563)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.48 % (6563)Termination reason: Unknown
% 0.21/0.48 % (6563)Termination phase: Saturation
% 0.21/0.48
% 0.21/0.48 % (6563)Memory used [KB]: 6140
% 0.21/0.48 % (6563)Time elapsed: 0.107 s
% 0.21/0.48 % (6563)Instructions burned: 184 (million)
% 0.21/0.48 % (6563)------------------------------
% 0.21/0.48 % (6563)------------------------------
% 0.21/0.48 % (6592)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)
% 0.21/0.49 % (6594)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.21/0.49 % (6595)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.21/0.49 % (6596)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.21/0.49 % (6595)Instruction limit reached!
% 0.21/0.49 % (6595)------------------------------
% 0.21/0.49 % (6595)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.49 % (6595)Termination reason: Unknown
% 0.21/0.49 % (6595)Termination phase: Property scanning
% 0.21/0.49
% 0.21/0.49 % (6595)Memory used [KB]: 1023
% 0.21/0.49 % (6595)Time elapsed: 0.003 s
% 0.21/0.49 % (6595)Instructions burned: 4 (million)
% 0.21/0.49 % (6594)Instruction limit reached!
% 0.21/0.49 % (6594)------------------------------
% 0.21/0.49 % (6594)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.49 % (6595)------------------------------
% 0.21/0.49 % (6595)------------------------------
% 0.21/0.49 % (6594)Termination reason: Unknown
% 0.21/0.49 % (6594)Termination phase: Saturation
% 0.21/0.49
% 0.21/0.49 % (6594)Memory used [KB]: 5628
% 0.21/0.49 % (6594)Time elapsed: 0.008 s
% 0.21/0.49 % (6594)Instructions burned: 19 (million)
% 0.21/0.49 % (6594)------------------------------
% 0.21/0.49 % (6594)------------------------------
% 0.21/0.49 % (6592)Refutation not found, incomplete strategy
% 0.21/0.49 % (6592)------------------------------
% 0.21/0.49 % (6592)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.49 % (6592)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.49
% 0.21/0.49
% 0.21/0.49 % (6592)Memory used [KB]: 5628
% 0.21/0.49 % (6592)Time elapsed: 0.013 s
% 0.21/0.49 % (6592)Instructions burned: 17 (million)
% 0.21/0.49 % (6592)------------------------------
% 0.21/0.49 % (6592)------------------------------
% 0.21/0.49 % (6596)Refutation not found, incomplete strategy
% 0.21/0.49 % (6596)------------------------------
% 0.21/0.49 % (6596)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.49 % (6596)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.49
% 0.21/0.49
% 0.21/0.49 % (6596)Memory used [KB]: 5500
% 0.21/0.49 % (6596)Time elapsed: 0.004 s
% 0.21/0.49 % (6596)Instructions burned: 6 (million)
% 0.21/0.49 % (6596)------------------------------
% 0.21/0.49 % (6596)------------------------------
% 0.21/0.50 % (6591)Refutation not found, incomplete strategy
% 0.21/0.50 % (6591)------------------------------
% 0.21/0.50 % (6591)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.50 % (6591)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.50
% 0.21/0.50
% 0.21/0.50 % (6591)Memory used [KB]: 5756
% 0.21/0.50 % (6591)Time elapsed: 0.022 s
% 0.21/0.50 % (6591)Instructions burned: 68 (million)
% 0.21/0.50 % (6591)------------------------------
% 0.21/0.50 % (6591)------------------------------
% 0.21/0.50 % (6598)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)
% 0.21/0.50 % (6600)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 (2998ds/20Mi)
% 0.21/0.50 % (6597)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)
% 0.21/0.51 % (6601)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 (2998ds/86Mi)
% 0.21/0.51 % (6598)First to succeed.
% 0.21/0.51 % (6599)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)
% 1.17/0.51 % (6598)Refutation found. Thanks to Tanya!
% 1.17/0.51 % SZS status Theorem for theBenchmark
% 1.17/0.51 % SZS output start Proof for theBenchmark
% 1.17/0.51 thf(func_def_0, type, in: $i > $i > $o).
% 1.17/0.51 thf(func_def_1, type, setunion: $i > $i).
% 1.17/0.51 thf(func_def_2, type, dsetconstr: $i > ($i > $o) > $i).
% 1.17/0.51 thf(func_def_3, type, singleton: $i > $o).
% 1.17/0.51 thf(func_def_7, type, if: $i > $o > $i > $i > $i).
% 1.17/0.51 thf(func_def_28, type, ph5: !>[X0: $tType]:(X0)).
% 1.17/0.51 thf(f128,plain,(
% 1.17/0.51 $false),
% 1.17/0.51 inference(trivial_inequality_removal,[],[f127])).
% 1.17/0.51 thf(f127,plain,(
% 1.17/0.51 ($false = $true)),
% 1.17/0.51 inference(backward_demodulation,[],[f27,f126])).
% 1.17/0.51 thf(f126,plain,(
% 1.17/0.51 ((in @ sK3 @ sK0) = $false)),
% 1.17/0.51 inference(trivial_inequality_removal,[],[f125])).
% 1.17/0.51 thf(f125,plain,(
% 1.17/0.51 ($false = $true) | ((in @ sK3 @ sK0) = $false)),
% 1.17/0.51 inference(forward_demodulation,[],[f124,f26])).
% 1.17/0.51 thf(f26,plain,(
% 1.17/0.51 ((in @ sK2 @ sK0) = $true)),
% 1.17/0.51 inference(cnf_transformation,[],[f23])).
% 1.17/0.51 thf(f23,plain,(
% 1.17/0.51 (ifSingleton = $true) & (iffalseProp1 = $true) & (theeq = $true) & (((sK1 != $true) & (sK3 != (if @ sK0 @ sK1 @ sK2 @ sK3)) & ((in @ sK3 @ sK0) = $true)) & ((in @ sK2 @ sK0) = $true))),
% 1.17/0.51 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f20,f22,f21])).
% 1.17/0.51 thf(f21,plain,(
% 1.17/0.51 ? [X0,X1 : $o,X2] : (? [X3] : (($true != X1) & ((if @ X0 @ X1 @ X2 @ X3) != X3) & ((in @ X3 @ X0) = $true)) & ((in @ X2 @ X0) = $true)) => (? [X3] : ((sK1 != $true) & ((if @ sK0 @ sK1 @ sK2 @ X3) != X3) & ((in @ X3 @ sK0) = $true)) & ((in @ sK2 @ sK0) = $true))),
% 1.17/0.51 introduced(choice_axiom,[])).
% 1.17/0.51 thf(f22,plain,(
% 1.17/0.51 ? [X3] : ((sK1 != $true) & ((if @ sK0 @ sK1 @ sK2 @ X3) != X3) & ((in @ X3 @ sK0) = $true)) => ((sK1 != $true) & (sK3 != (if @ sK0 @ sK1 @ sK2 @ sK3)) & ((in @ sK3 @ sK0) = $true))),
% 1.17/0.51 introduced(choice_axiom,[])).
% 1.17/0.51 thf(f20,plain,(
% 1.17/0.51 (ifSingleton = $true) & (iffalseProp1 = $true) & (theeq = $true) & ? [X0,X1 : $o,X2] : (? [X3] : (($true != X1) & ((if @ X0 @ X1 @ X2 @ X3) != X3) & ((in @ X3 @ X0) = $true)) & ((in @ X2 @ X0) = $true))),
% 1.17/0.51 inference(flattening,[],[f19])).
% 1.17/0.51 thf(f19,plain,(
% 1.17/0.51 ((? [X0,X1 : $o,X2] : (? [X3] : ((((if @ X0 @ X1 @ X2 @ X3) != X3) & ($true != X1)) & ((in @ X3 @ X0) = $true)) & ((in @ X2 @ X0) = $true)) & (theeq = $true)) & (ifSingleton = $true)) & (iffalseProp1 = $true)),
% 1.17/0.51 inference(ennf_transformation,[],[f18])).
% 1.17/0.51 thf(f18,plain,(
% 1.17/0.51 ~((iffalseProp1 = $true) => ((ifSingleton = $true) => ((theeq = $true) => ! [X0,X1 : $o,X2] : (((in @ X2 @ X0) = $true) => ! [X3] : (((in @ X3 @ X0) = $true) => (($true != X1) => ((if @ X0 @ X1 @ X2 @ X3) = X3)))))))),
% 1.17/0.51 inference(flattening,[],[f9])).
% 1.17/0.51 thf(f9,plain,(
% 1.17/0.51 ~((iffalseProp1 = $true) => ((ifSingleton = $true) => ((theeq = $true) => ! [X0,X1 : $o,X2] : (((in @ X2 @ X0) = $true) => ! [X3] : (((in @ X3 @ X0) = $true) => (~($true = X1) => ((if @ X0 @ X1 @ X2 @ X3) = X3)))))))),
% 1.17/0.51 inference(fool_elimination,[],[f8])).
% 1.17/0.51 thf(f8,plain,(
% 1.17/0.51 ~(iffalseProp1 => (ifSingleton => (theeq => ! [X0,X1 : $o,X2] : ((in @ X2 @ X0) => ! [X3] : ((in @ X3 @ X0) => (~X1 => ((if @ X0 @ X1 @ X2 @ X3) = X3)))))))),
% 1.17/0.51 inference(rectify,[],[f6])).
% 1.17/0.51 thf(f6,negated_conjecture,(
% 1.17/0.51 ~(iffalseProp1 => (ifSingleton => (theeq => ! [X0,X1 : $o,X2] : ((in @ X2 @ X0) => ! [X3] : ((in @ X3 @ X0) => (~X1 => ((if @ X0 @ X1 @ X2 @ X3) = X3)))))))),
% 1.17/0.51 inference(negated_conjecture,[],[f5])).
% 1.17/0.51 thf(f5,conjecture,(
% 1.17/0.51 iffalseProp1 => (ifSingleton => (theeq => ! [X0,X1 : $o,X2] : ((in @ X2 @ X0) => ! [X3] : ((in @ X3 @ X0) => (~X1 => ((if @ X0 @ X1 @ X2 @ X3) = X3))))))),
% 1.17/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',iffalse)).
% 1.17/0.51 thf(f124,plain,(
% 1.17/0.51 ((in @ sK2 @ sK0) = $false) | ((in @ sK3 @ sK0) = $false)),
% 1.17/0.51 inference(subsumption_resolution,[],[f123,f29])).
% 1.17/0.51 thf(f29,plain,(
% 1.17/0.51 (sK1 != $true)),
% 1.17/0.51 inference(cnf_transformation,[],[f23])).
% 1.17/0.51 thf(f123,plain,(
% 1.17/0.51 ((in @ sK3 @ sK0) = $false) | (sK1 = $true) | ((in @ sK2 @ sK0) = $false)),
% 1.17/0.51 inference(trivial_inequality_removal,[],[f122])).
% 1.17/0.51 thf(f122,plain,(
% 1.17/0.51 (sK1 = $true) | (sK3 != sK3) | ((in @ sK3 @ sK0) = $false) | ((in @ sK2 @ sK0) = $false)),
% 1.17/0.51 inference(superposition,[],[f39,f105])).
% 1.17/0.51 thf(f105,plain,(
% 1.17/0.51 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $o] : (((setunion @ (dsetconstr @ X0 @ (^[Y0 : $i]: (((~ X1) & (X2 = Y0)) | ((X3 = Y0) & X1))))) = X2) | ($true = X1) | ((in @ X2 @ X0) = $false) | ((in @ X3 @ X0) = $false)) )),
% 1.17/0.51 inference(trivial_inequality_removal,[],[f104])).
% 1.17/0.51 thf(f104,plain,(
% 1.17/0.51 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $o] : (((setunion @ (dsetconstr @ X0 @ (^[Y0 : $i]: (((~ X1) & (X2 = Y0)) | ((X3 = Y0) & X1))))) = X2) | ($false = $true) | ($true = X1) | ((in @ X3 @ X0) = $false) | ((in @ X2 @ X0) = $false)) )),
% 1.17/0.51 inference(duplicate_literal_removal,[],[f100])).
% 1.17/0.51 thf(f100,plain,(
% 1.17/0.51 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $o] : (((in @ X3 @ X0) = $false) | ((setunion @ (dsetconstr @ X0 @ (^[Y0 : $i]: (((~ X1) & (X2 = Y0)) | ((X3 = Y0) & X1))))) = X2) | ($true = X1) | ($false = $true) | ((in @ X2 @ X0) = $false) | ((in @ X3 @ X0) = $false) | ((in @ X2 @ X0) = $false)) )),
% 1.17/0.51 inference(superposition,[],[f99,f49])).
% 1.17/0.51 thf(f49,plain,(
% 1.17/0.51 ( ! [X2 : $i,X3 : $o,X1 : $i,X4 : $i] : (((singleton @ (dsetconstr @ X1 @ (^[Y0 : $i]: (((~ X3) & (X4 = Y0)) | ((X2 = Y0) & X3))))) = $true) | ($false = (in @ X2 @ X1)) | ((in @ X4 @ X1) = $false)) )),
% 1.17/0.51 inference(binary_proxy_clausification,[],[f48])).
% 1.17/0.51 thf(f48,plain,(
% 1.17/0.51 ( ! [X2 : $i,X3 : $o,X1 : $i,X4 : $i] : (($true = ((in @ X4 @ X1) => (singleton @ (dsetconstr @ X1 @ (^[Y0 : $i]: (((~ X3) & (X4 = Y0)) | ((X2 = Y0) & X3))))))) | ($false = (in @ X2 @ X1))) )),
% 1.17/0.51 inference(beta_eta_normalization,[],[f47])).
% 1.17/0.51 thf(f47,plain,(
% 1.17/0.51 ( ! [X2 : $i,X3 : $o,X1 : $i,X4 : $i] : ((((^[Y0 : $i]: ((in @ Y0 @ X1) => (singleton @ (dsetconstr @ X1 @ (^[Y1 : $i]: (((~ X3) & (Y0 = Y1)) | ((X2 = Y1) & X3))))))) @ X4) = $true) | ($false = (in @ X2 @ X1))) )),
% 1.17/0.51 inference(pi_clausification,[],[f46])).
% 1.17/0.51 thf(f46,plain,(
% 1.17/0.51 ( ! [X2 : $i,X3 : $o,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ X1) => (singleton @ (dsetconstr @ X1 @ (^[Y1 : $i]: (((~ X3) & (Y0 = Y1)) | ((X2 = Y1) & X3))))))))) | ($false = (in @ X2 @ X1))) )),
% 1.17/0.51 inference(binary_proxy_clausification,[],[f45])).
% 1.17/0.51 thf(f45,plain,(
% 1.17/0.51 ( ! [X2 : $i,X3 : $o,X1 : $i] : ((((in @ X2 @ X1) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ X1) => (singleton @ (dsetconstr @ X1 @ (^[Y1 : $i]: (((~ X3) & (Y0 = Y1)) | ((X2 = Y1) & X3))))))))) = $true)) )),
% 1.17/0.51 inference(beta_eta_normalization,[],[f44])).
% 1.17/0.51 thf(f44,plain,(
% 1.17/0.51 ( ! [X2 : $i,X3 : $o,X1 : $i] : ((((^[Y0 : $o]: ((in @ X2 @ X1) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ X1) => (singleton @ (dsetconstr @ X1 @ (^[Y2 : $i]: (((~ Y0) & (Y1 = Y2)) | ((X2 = Y2) & Y0)))))))))) @ X3) = $true)) )),
% 1.17/0.51 inference(pi_clausification,[],[f43])).
% 1.17/0.51 thf(f43,plain,(
% 1.17/0.51 ( ! [X2 : $i,X1 : $i] : (((!! @ $o @ (^[Y0 : $o]: ((in @ X2 @ X1) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ X1) => (singleton @ (dsetconstr @ X1 @ (^[Y2 : $i]: (((~ Y0) & (Y1 = Y2)) | ((X2 = Y2) & Y0))))))))))) = $true)) )),
% 1.17/0.51 inference(beta_eta_normalization,[],[f42])).
% 1.17/0.51 thf(f42,plain,(
% 1.17/0.51 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: (!! @ $o @ (^[Y1 : $o]: ((in @ Y0 @ X1) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ X1) => (singleton @ (dsetconstr @ X1 @ (^[Y3 : $i]: (((~ Y1) & (Y2 = Y3)) | ((Y0 = Y3) & Y1)))))))))))) @ X2) = $true)) )),
% 1.17/0.51 inference(pi_clausification,[],[f41])).
% 1.17/0.51 thf(f41,plain,(
% 1.17/0.51 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $o @ (^[Y1 : $o]: ((in @ Y0 @ X1) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ X1) => (singleton @ (dsetconstr @ X1 @ (^[Y3 : $i]: (((~ Y1) & (Y2 = Y3)) | ((Y0 = Y3) & Y1))))))))))))))) )),
% 1.17/0.51 inference(beta_eta_normalization,[],[f40])).
% 1.17/0.51 thf(f40,plain,(
% 1.17/0.51 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $o @ (^[Y2 : $o]: ((in @ Y1 @ Y0) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ Y0) => (singleton @ (dsetconstr @ Y0 @ (^[Y4 : $i]: (((~ Y2) & (Y3 = Y4)) | ((Y1 = Y4) & Y2)))))))))))))) @ X1) = $true)) )),
% 1.17/0.51 inference(pi_clausification,[],[f38])).
% 1.17/0.51 thf(f38,plain,(
% 1.17/0.51 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $o @ (^[Y2 : $o]: ((in @ Y1 @ Y0) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ Y0) => (singleton @ (dsetconstr @ Y0 @ (^[Y4 : $i]: (((~ Y2) & (Y3 = Y4)) | ((Y1 = Y4) & Y2))))))))))))))) = $true)),
% 1.17/0.51 inference(definition_unfolding,[],[f34,f32])).
% 1.17/0.51 thf(f32,plain,(
% 1.17/0.51 (ifSingleton = $true)),
% 1.17/0.51 inference(cnf_transformation,[],[f23])).
% 1.17/0.51 thf(f34,plain,(
% 1.17/0.51 (ifSingleton = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $o @ (^[Y2 : $o]: ((in @ Y1 @ Y0) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ Y0) => (singleton @ (dsetconstr @ Y0 @ (^[Y4 : $i]: (((~ Y2) & (Y3 = Y4)) | ((Y1 = Y4) & Y2))))))))))))))))),
% 1.17/0.51 inference(cnf_transformation,[],[f17])).
% 1.17/0.51 thf(f17,plain,(
% 1.17/0.51 (ifSingleton = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $o @ (^[Y2 : $o]: ((in @ Y1 @ Y0) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ Y0) => (singleton @ (dsetconstr @ Y0 @ (^[Y4 : $i]: (((~ Y2) & (Y3 = Y4)) | ((Y1 = Y4) & Y2))))))))))))))))),
% 1.17/0.51 inference(fool_elimination,[],[f16])).
% 1.17/0.51 thf(f16,plain,(
% 1.17/0.51 (! [X0 : $o,X1,X2] : ((in @ X1 @ X2) => ! [X3] : ((in @ X3 @ X2) => (singleton @ (dsetconstr @ X2 @ (^[X4 : $i] : ((X0 & (X1 = X4)) | ((X3 = X4) & ~X0))))))) = ifSingleton)),
% 1.17/0.51 inference(rectify,[],[f2])).
% 1.17/0.51 thf(f2,axiom,(
% 1.17/0.51 (! [X1 : $o,X2,X0] : ((in @ X2 @ X0) => ! [X3] : ((in @ X3 @ X0) => (singleton @ (dsetconstr @ X0 @ (^[X4 : $i] : ((X1 & (X2 = X4)) | ((X3 = X4) & ~X1))))))) = ifSingleton)),
% 1.17/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifSingleton)).
% 1.17/0.51 thf(f99,plain,(
% 1.17/0.51 ( ! [X2 : $o,X3 : $i,X0 : $i,X1 : $i] : (((singleton @ (dsetconstr @ X1 @ (^[Y0 : $i]: (((~ X2) & (X0 = Y0)) | ((X3 = Y0) & X2))))) = $false) | ((setunion @ (dsetconstr @ X1 @ (^[Y0 : $i]: (((~ X2) & (X0 = Y0)) | ((X3 = Y0) & X2))))) = X0) | ((in @ X0 @ X1) = $false) | ($true = X2) | ((in @ X3 @ X1) = $false)) )),
% 1.17/0.51 inference(trivial_inequality_removal,[],[f96])).
% 1.17/0.51 thf(f96,plain,(
% 1.17/0.51 ( ! [X2 : $o,X3 : $i,X0 : $i,X1 : $i] : (((singleton @ (dsetconstr @ X1 @ (^[Y0 : $i]: (((~ X2) & (X0 = Y0)) | ((X3 = Y0) & X2))))) = $false) | ($true = X2) | ($false = $true) | ((in @ X3 @ X1) = $false) | ((in @ X0 @ X1) = $false) | ((setunion @ (dsetconstr @ X1 @ (^[Y0 : $i]: (((~ X2) & (X0 = Y0)) | ((X3 = Y0) & X2))))) = X0)) )),
% 1.17/0.51 inference(superposition,[],[f61,f68])).
% 1.17/0.51 thf(f68,plain,(
% 1.17/0.51 ( ! [X2 : $i,X1 : $i] : (($false = (in @ X2 @ X1)) | ((singleton @ X1) = $false) | ((setunion @ X1) = X2)) )),
% 1.17/0.51 inference(equality_proxy_clausification,[],[f67])).
% 1.17/0.51 thf(f67,plain,(
% 1.17/0.51 ( ! [X2 : $i,X1 : $i] : (((singleton @ X1) = $false) | ($false = (in @ X2 @ X1)) | (((setunion @ X1) = X2) = $true)) )),
% 1.17/0.51 inference(binary_proxy_clausification,[],[f66])).
% 1.17/0.51 thf(f66,plain,(
% 1.17/0.51 ( ! [X2 : $i,X1 : $i] : (((singleton @ X1) = $false) | (((in @ X2 @ X1) => ((setunion @ X1) = X2)) = $true)) )),
% 1.17/0.51 inference(beta_eta_normalization,[],[f65])).
% 1.17/0.51 thf(f65,plain,(
% 1.17/0.51 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((in @ Y0 @ X1) => ((setunion @ X1) = Y0))) @ X2) = $true) | ((singleton @ X1) = $false)) )),
% 1.17/0.51 inference(pi_clausification,[],[f64])).
% 1.17/0.51 thf(f64,plain,(
% 1.17/0.51 ( ! [X1 : $i] : (((singleton @ X1) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ X1) => ((setunion @ X1) = Y0)))) = $true)) )),
% 1.17/0.51 inference(binary_proxy_clausification,[],[f63])).
% 1.17/0.51 thf(f63,plain,(
% 1.17/0.51 ( ! [X1 : $i] : ((((singleton @ X1) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ X1) => ((setunion @ X1) = Y0))))) = $true)) )),
% 1.17/0.51 inference(beta_eta_normalization,[],[f62])).
% 1.17/0.51 thf(f62,plain,(
% 1.17/0.51 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((singleton @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ Y0) => ((setunion @ Y0) = Y1)))))) @ X1))) )),
% 1.17/0.51 inference(pi_clausification,[],[f37])).
% 1.17/0.51 thf(f37,plain,(
% 1.17/0.51 ((!! @ $i @ (^[Y0 : $i]: ((singleton @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ Y0) => ((setunion @ Y0) = Y1))))))) = $true)),
% 1.17/0.51 inference(definition_unfolding,[],[f33,f30])).
% 1.17/0.51 thf(f30,plain,(
% 1.17/0.51 (theeq = $true)),
% 1.17/0.51 inference(cnf_transformation,[],[f23])).
% 1.17/0.51 thf(f33,plain,(
% 1.17/0.51 (theeq = (!! @ $i @ (^[Y0 : $i]: ((singleton @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ Y0) => ((setunion @ Y0) = Y1))))))))),
% 1.17/0.51 inference(cnf_transformation,[],[f13])).
% 1.17/0.51 thf(f13,plain,(
% 1.17/0.51 (theeq = (!! @ $i @ (^[Y0 : $i]: ((singleton @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ Y0) => ((setunion @ Y0) = Y1))))))))),
% 1.17/0.51 inference(fool_elimination,[],[f12])).
% 1.17/0.51 thf(f12,plain,(
% 1.17/0.51 (! [X0] : ((singleton @ X0) => ! [X1] : ((in @ X1 @ X0) => ((setunion @ X0) = X1))) = theeq)),
% 1.17/0.51 inference(rectify,[],[f4])).
% 1.17/0.51 thf(f4,axiom,(
% 1.17/0.51 (! [X5] : ((singleton @ X5) => ! [X2] : ((in @ X2 @ X5) => ((setunion @ X5) = X2))) = theeq)),
% 1.17/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',theeq)).
% 1.17/0.51 thf(f61,plain,(
% 1.17/0.51 ( ! [X2 : $i,X3 : $o,X1 : $i,X4 : $i] : (((in @ X4 @ (dsetconstr @ X2 @ (^[Y0 : $i]: (((~ X3) & (X4 = Y0)) | ((X1 = Y0) & X3))))) = $true) | ((in @ X4 @ X2) = $false) | ((in @ X1 @ X2) = $false) | ($true = X3)) )),
% 1.17/0.51 inference(not_proxy_clausification,[],[f60])).
% 1.17/0.51 thf(f60,plain,(
% 1.17/0.51 ( ! [X2 : $i,X3 : $o,X1 : $i,X4 : $i] : (((in @ X1 @ X2) = $false) | ((in @ X4 @ X2) = $false) | ((~ X3) = $false) | ((in @ X4 @ (dsetconstr @ X2 @ (^[Y0 : $i]: (((~ X3) & (X4 = Y0)) | ((X1 = Y0) & X3))))) = $true)) )),
% 1.17/0.51 inference(binary_proxy_clausification,[],[f59])).
% 1.17/0.51 thf(f59,plain,(
% 1.17/0.51 ( ! [X2 : $i,X3 : $o,X1 : $i,X4 : $i] : ((((~ X3) => (in @ X4 @ (dsetconstr @ X2 @ (^[Y0 : $i]: (((~ X3) & (X4 = Y0)) | ((X1 = Y0) & X3)))))) = $true) | ((in @ X4 @ X2) = $false) | ((in @ X1 @ X2) = $false)) )),
% 1.17/0.51 inference(binary_proxy_clausification,[],[f58])).
% 1.17/0.51 thf(f58,plain,(
% 1.17/0.51 ( ! [X2 : $i,X3 : $o,X1 : $i,X4 : $i] : ((((in @ X4 @ X2) => ((~ X3) => (in @ X4 @ (dsetconstr @ X2 @ (^[Y0 : $i]: (((~ X3) & (X4 = Y0)) | ((X1 = Y0) & X3))))))) = $true) | ((in @ X1 @ X2) = $false)) )),
% 1.17/0.51 inference(beta_eta_normalization,[],[f57])).
% 1.17/0.51 thf(f57,plain,(
% 1.17/0.51 ( ! [X2 : $i,X3 : $o,X1 : $i,X4 : $i] : ((((^[Y0 : $i]: ((in @ Y0 @ X2) => ((~ X3) => (in @ Y0 @ (dsetconstr @ X2 @ (^[Y1 : $i]: (((~ X3) & (Y0 = Y1)) | ((X1 = Y1) & X3)))))))) @ X4) = $true) | ((in @ X1 @ X2) = $false)) )),
% 1.17/0.51 inference(pi_clausification,[],[f56])).
% 1.17/0.51 thf(f56,plain,(
% 1.17/0.51 ( ! [X2 : $i,X3 : $o,X1 : $i] : (((in @ X1 @ X2) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ X2) => ((~ X3) => (in @ Y0 @ (dsetconstr @ X2 @ (^[Y1 : $i]: (((~ X3) & (Y0 = Y1)) | ((X1 = Y1) & X3))))))))) = $true)) )),
% 1.17/0.51 inference(binary_proxy_clausification,[],[f55])).
% 1.17/0.51 thf(f55,plain,(
% 1.17/0.51 ( ! [X2 : $i,X3 : $o,X1 : $i] : ((((in @ X1 @ X2) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ X2) => ((~ X3) => (in @ Y0 @ (dsetconstr @ X2 @ (^[Y1 : $i]: (((~ X3) & (Y0 = Y1)) | ((X1 = Y1) & X3)))))))))) = $true)) )),
% 1.17/0.51 inference(beta_eta_normalization,[],[f54])).
% 1.17/0.51 thf(f54,plain,(
% 1.17/0.51 ( ! [X2 : $i,X3 : $o,X1 : $i] : ((((^[Y0 : $o]: ((in @ X1 @ X2) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ X2) => ((~ Y0) => (in @ Y1 @ (dsetconstr @ X2 @ (^[Y2 : $i]: (((~ Y0) & (Y1 = Y2)) | ((X1 = Y2) & Y0))))))))))) @ X3) = $true)) )),
% 1.17/0.51 inference(pi_clausification,[],[f53])).
% 1.17/0.51 thf(f53,plain,(
% 1.17/0.51 ( ! [X2 : $i,X1 : $i] : (((!! @ $o @ (^[Y0 : $o]: ((in @ X1 @ X2) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ X2) => ((~ Y0) => (in @ Y1 @ (dsetconstr @ X2 @ (^[Y2 : $i]: (((~ Y0) & (Y1 = Y2)) | ((X1 = Y2) & Y0)))))))))))) = $true)) )),
% 1.17/0.51 inference(beta_eta_normalization,[],[f52])).
% 1.17/0.51 thf(f52,plain,(
% 1.17/0.51 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: (!! @ $o @ (^[Y1 : $o]: ((in @ X1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) => ((~ Y1) => (in @ Y2 @ (dsetconstr @ Y0 @ (^[Y3 : $i]: (((~ Y1) & (Y2 = Y3)) | ((X1 = Y3) & Y1))))))))))))) @ X2) = $true)) )),
% 1.17/0.51 inference(pi_clausification,[],[f51])).
% 1.17/0.51 thf(f51,plain,(
% 1.17/0.51 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (!! @ $o @ (^[Y1 : $o]: ((in @ X1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) => ((~ Y1) => (in @ Y2 @ (dsetconstr @ Y0 @ (^[Y3 : $i]: (((~ Y1) & (Y2 = Y3)) | ((X1 = Y3) & Y1)))))))))))))) = $true)) )),
% 1.17/0.51 inference(beta_eta_normalization,[],[f50])).
% 1.17/0.51 thf(f50,plain,(
% 1.17/0.51 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $o @ (^[Y2 : $o]: ((in @ Y0 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ Y1) => ((~ Y2) => (in @ Y3 @ (dsetconstr @ Y1 @ (^[Y4 : $i]: (((~ Y2) & (Y3 = Y4)) | ((Y0 = Y4) & Y2))))))))))))))) @ X1) = $true)) )),
% 1.17/0.51 inference(pi_clausification,[],[f35])).
% 1.17/0.51 thf(f35,plain,(
% 1.17/0.51 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $o @ (^[Y2 : $o]: ((in @ Y0 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ Y1) => ((~ Y2) => (in @ Y3 @ (dsetconstr @ Y1 @ (^[Y4 : $i]: (((~ Y2) & (Y3 = Y4)) | ((Y0 = Y4) & Y2)))))))))))))))) = $true)),
% 1.17/0.51 inference(definition_unfolding,[],[f31,f24])).
% 1.17/0.51 thf(f24,plain,(
% 1.17/0.51 (iffalseProp1 = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $o @ (^[Y2 : $o]: ((in @ Y0 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ Y1) => ((~ Y2) => (in @ Y3 @ (dsetconstr @ Y1 @ (^[Y4 : $i]: (((~ Y2) & (Y3 = Y4)) | ((Y0 = Y4) & Y2)))))))))))))))))),
% 1.17/0.51 inference(cnf_transformation,[],[f15])).
% 1.17/0.51 thf(f15,plain,(
% 1.17/0.51 (iffalseProp1 = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $o @ (^[Y2 : $o]: ((in @ Y0 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ Y1) => ((~ Y2) => (in @ Y3 @ (dsetconstr @ Y1 @ (^[Y4 : $i]: (((~ Y2) & (Y3 = Y4)) | ((Y0 = Y4) & Y2)))))))))))))))))),
% 1.17/0.51 inference(fool_elimination,[],[f14])).
% 1.17/0.51 thf(f14,plain,(
% 1.17/0.51 (! [X0 : $o,X1,X2] : ((in @ X2 @ X1) => ! [X3] : ((in @ X3 @ X1) => (~X0 => (in @ X3 @ (dsetconstr @ X1 @ (^[X4 : $i] : ((X0 & (X2 = X4)) | ((X3 = X4) & ~X0)))))))) = iffalseProp1)),
% 1.17/0.51 inference(rectify,[],[f1])).
% 1.17/0.51 thf(f1,axiom,(
% 1.17/0.51 (! [X1 : $o,X0,X2] : ((in @ X2 @ X0) => ! [X3] : ((in @ X3 @ X0) => (~X1 => (in @ X3 @ (dsetconstr @ X0 @ (^[X4 : $i] : ((X1 & (X2 = X4)) | ((X3 = X4) & ~X1)))))))) = iffalseProp1)),
% 1.17/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',iffalseProp1)).
% 1.17/0.51 thf(f31,plain,(
% 1.17/0.51 (iffalseProp1 = $true)),
% 1.17/0.51 inference(cnf_transformation,[],[f23])).
% 1.17/0.51 thf(f39,plain,(
% 1.17/0.51 ((setunion @ (dsetconstr @ sK0 @ (^[Y0 : $i]: (((~ sK1) & (sK3 = Y0)) | ((sK2 = Y0) & sK1))))) != sK3)),
% 1.17/0.51 inference(beta_eta_normalization,[],[f36])).
% 1.17/0.51 thf(f36,plain,(
% 1.17/0.51 (sK3 != ((^[Y0 : $i]: ((^[Y1 : $o]: ((^[Y2 : $i]: ((^[Y3 : $i]: (setunion @ (dsetconstr @ Y0 @ (^[Y4 : $i]: (((~ Y1) & (Y3 = Y4)) | ((Y2 = Y4) & Y1)))))))))))) @ sK0 @ sK1 @ sK2 @ sK3))),
% 1.17/0.51 inference(definition_unfolding,[],[f28,f25])).
% 1.17/0.51 thf(f25,plain,(
% 1.17/0.51 (if = (^[Y0 : $i]: ((^[Y1 : $o]: ((^[Y2 : $i]: ((^[Y3 : $i]: (setunion @ (dsetconstr @ Y0 @ (^[Y4 : $i]: (((~ Y1) & (Y3 = Y4)) | ((Y2 = Y4) & Y1)))))))))))))),
% 1.17/0.51 inference(cnf_transformation,[],[f11])).
% 1.17/0.51 thf(f11,plain,(
% 1.17/0.51 (if = (^[Y0 : $i]: ((^[Y1 : $o]: ((^[Y2 : $i]: ((^[Y3 : $i]: (setunion @ (dsetconstr @ Y0 @ (^[Y4 : $i]: (((~ Y1) & (Y3 = Y4)) | ((Y2 = Y4) & Y1)))))))))))))),
% 1.17/0.51 inference(fool_elimination,[],[f10])).
% 1.17/0.51 thf(f10,plain,(
% 1.17/0.51 ((^[X0 : $i, X1 : $o, X2 : $i, X3 : $i] : (setunion @ (dsetconstr @ X0 @ (^[X4 : $i] : ((X1 & (X2 = X4)) | ((X3 = X4) & ~X1)))))) = if)),
% 1.17/0.51 inference(rectify,[],[f3])).
% 1.17/0.51 thf(f3,axiom,(
% 1.17/0.51 ((^[X0 : $i, X1 : $o, X2 : $i, X3 : $i] : (setunion @ (dsetconstr @ X0 @ (^[X4 : $i] : ((X1 & (X2 = X4)) | ((X3 = X4) & ~X1)))))) = if)),
% 1.17/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',if)).
% 1.17/0.51 thf(f28,plain,(
% 1.17/0.51 (sK3 != (if @ sK0 @ sK1 @ sK2 @ sK3))),
% 1.17/0.51 inference(cnf_transformation,[],[f23])).
% 1.17/0.51 thf(f27,plain,(
% 1.17/0.51 ((in @ sK3 @ sK0) = $true)),
% 1.17/0.51 inference(cnf_transformation,[],[f23])).
% 1.17/0.51 % SZS output end Proof for theBenchmark
% 1.17/0.51 % (6598)------------------------------
% 1.17/0.51 % (6598)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.17/0.51 % (6598)Termination reason: Refutation
% 1.17/0.51
% 1.17/0.51 % (6598)Memory used [KB]: 5628
% 1.17/0.51 % (6598)Time elapsed: 0.033 s
% 1.17/0.51 % (6598)Instructions burned: 17 (million)
% 1.17/0.51 % (6598)------------------------------
% 1.17/0.51 % (6598)------------------------------
% 1.17/0.51 % (6562)Success in time 0.144 s
%------------------------------------------------------------------------------