%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI707_1 : TPTP v9.3.1. Released v6.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:35:07 AM UTC 2026
% Result : Theorem 7.43s 1.32s
% Output : Refutation 7.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ARI707_1 : TPTP v9.3.1. Released v6.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.17 % Computer : n018.cluster.edu
% 0.12/0.17 % Model : x86_64 x86_64
% 0.12/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.17 % Memory : 8046.5625MB
% 0.12/0.17 % OS : Linux 6.8.0-71-generic
% 0.12/0.17 % CPULimit : 300
% 0.12/0.17 % WCLimit : 300
% 0.12/0.17 % DateTime : Mon Sep 28 21:00:10 UTC 2026
% 0.12/0.17 % CPUTime :
% 0.12/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.20 Running first-order model finding
% 0.12/0.20 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.25/0.78 % (3777331)Will run a generic schedule for satisfiability detection.
% 3.25/0.78 % (3777342)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3874522496:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 3.25/0.78 % (3777337)% WARNING: option uhcvi not known.
% 3.25/0.78 % (3777340)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4080534557:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 3.25/0.78 % (3777338)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=254085106:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 3.25/0.78 % (3777339)dis+10_1_sil=32000:sp=arity:random_seed=1521789526:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 3.25/0.78 % (3777341)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3430591683:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 3.25/0.78 % (3777336)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3474346784_2999 on theBenchmark for (2999ds/0Mi)
% 3.25/0.78 % (3777337)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1196595679:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 3.25/0.78 % (3777336)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 3.25/0.78 % (3777336)Terminated due to inappropriate strategy.
% 3.25/0.78 % (3777336)------------------------------
% 3.25/0.78 % (3777336)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.25/0.78 % (3777336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.25/0.78 % (3777336)CaDiCaL version: 2.1.3
% 3.25/0.78 % (3777336)Termination reason: Inappropriate
% 3.25/0.78 % (3777336)Time elapsed: 0.0000 s
% 3.25/0.78 % (3777336)Peak memory usage: 10 MB
% 3.25/0.78 % (3777336)------------------------------
% 3.25/0.78 % (3777336)------------------------------
% 3.25/0.78 % (3777350)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1996111792:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 3.25/0.78 % (3777350)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 3.25/0.78 % (3777350)Terminated due to inappropriate strategy.
% 3.25/0.78 % (3777350)------------------------------
% 3.25/0.78 % (3777350)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.25/0.78 % (3777350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.25/0.78 % (3777350)CaDiCaL version: 2.1.3
% 3.25/0.78 % (3777350)Termination reason: Inappropriate
% 3.25/0.78 % (3777350)Time elapsed: 0.001 s
% 3.25/0.78 % (3777350)Peak memory usage: 10 MB
% 3.25/0.78 % (3777350)------------------------------
% 3.25/0.78 % (3777350)------------------------------
% 3.25/0.78 % (3777352)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2061887323:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 3.25/0.78 % (3777342)Instruction limit reached!
% 3.25/0.78 % (3777342)------------------------------
% 3.25/0.78 % (3777342)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.25/0.78 % (3777342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.25/0.78 % (3777342)CaDiCaL version: 2.1.3
% 3.25/0.78 % (3777342)Termination reason: Instruction limit
% 3.25/0.78 % (3777342)Termination phase: Saturation
% 3.25/0.78 % (3777342)Time elapsed: 0.053 s
% 3.25/0.78 % (3777342)Peak memory usage: 13 MB
% 3.25/0.78 % (3777342)Instructions burned: 160 (million)
% 3.25/0.78 % (3777354)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1490790016:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 3.25/0.78 % (3777339)Instruction limit reached!
% 3.25/0.78 % (3777339)------------------------------
% 3.25/0.78 % (3777339)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.25/0.78 % (3777339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.25/0.78 % (3777339)CaDiCaL version: 2.1.3
% 3.25/0.78 % (3777339)Termination reason: Instruction limit
% 3.25/0.78 % (3777339)Termination phase: Saturation
% 3.25/0.78 % (3777339)Time elapsed: 0.065 s
% 3.25/0.78 % (3777339)Peak memory usage: 12 MB
% 3.25/0.78 % (3777339)Instructions burned: 104 (million)
% 3.25/0.78 % (3777340)Instruction limit reached!
% 3.25/0.78 % (3777340)------------------------------
% 3.25/0.78 % (3777340)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.25/0.78 % (3777340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.43/1.32 % (3777340)CaDiCaL version: 2.1.3
% 7.43/1.32 % (3777340)Termination reason: Instruction limit
% 7.43/1.32 % (3777340)Termination phase: Saturation
% 7.43/1.32 % (3777340)Time elapsed: 0.069 s
% 7.43/1.32 % (3777340)Peak memory usage: 12 MB
% 7.43/1.32 % (3777340)Instructions burned: 117 (million)
% 7.43/1.32 % (3777341)Instruction limit reached!
% 7.43/1.32 % (3777341)------------------------------
% 7.43/1.32 % (3777341)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.43/1.32 % (3777341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.43/1.32 % (3777341)CaDiCaL version: 2.1.3
% 7.43/1.32 % (3777341)Termination reason: Instruction limit
% 7.43/1.32 % (3777341)Termination phase: Saturation
% 7.43/1.32 % (3777341)Time elapsed: 0.081 s
% 7.43/1.32 % (3777341)Peak memory usage: 12 MB
% 7.43/1.32 % (3777341)Instructions burned: 131 (million)
% 7.43/1.32 % (3777356)ott-21_1_sil=16000:fs=off:random_seed=3803997262:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.43/1.32 % (3777357)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2525042969:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 7.43/1.32 % (3777358)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3641231377:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 7.43/1.32 % (3777358)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 7.43/1.32 % (3777358)Terminated due to inappropriate strategy.
% 7.43/1.32 % (3777358)------------------------------
% 7.43/1.32 % (3777358)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.43/1.32 % (3777358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.43/1.32 % (3777358)CaDiCaL version: 2.1.3
% 7.43/1.32 % (3777358)Termination reason: Inappropriate
% 7.43/1.32 % (3777358)Time elapsed: 0.0000 s
% 7.43/1.32 % (3777358)Peak memory usage: 10 MB
% 7.43/1.32 % (3777358)------------------------------
% 7.43/1.32 % (3777358)------------------------------
% 7.43/1.32 % (3777362)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1038351446:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 7.43/1.32 % (3777352)Instruction limit reached!
% 7.43/1.32 % (3777352)------------------------------
% 7.43/1.32 % (3777352)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.43/1.32 % (3777352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.43/1.32 % (3777352)CaDiCaL version: 2.1.3
% 7.43/1.32 % (3777352)Termination reason: Instruction limit
% 7.43/1.32 % (3777352)Termination phase: Saturation
% 7.43/1.32 % (3777352)Time elapsed: 0.091 s
% 7.43/1.32 % (3777352)Peak memory usage: 13 MB
% 7.43/1.32 % (3777352)Instructions burned: 132 (million)
% 7.43/1.32 % (3777364)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=490133136:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 7.43/1.32 % (3777364)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 7.43/1.32 % (3777364)Terminated due to inappropriate strategy.
% 7.43/1.32 % (3777364)------------------------------
% 7.43/1.32 % (3777364)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.43/1.32 % (3777364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.43/1.32 % (3777364)CaDiCaL version: 2.1.3
% 7.43/1.32 % (3777364)Termination reason: Inappropriate
% 7.43/1.32 % (3777364)Time elapsed: 0.001 s
% 7.43/1.32 % (3777364)Peak memory usage: 10 MB
% 7.43/1.32 % (3777364)------------------------------
% 7.43/1.32 % (3777364)------------------------------
% 7.43/1.32 % (3777356)Instruction limit reached!
% 7.43/1.32 % (3777356)------------------------------
% 7.43/1.32 % (3777356)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.43/1.32 % (3777356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.43/1.32 % (3777356)CaDiCaL version: 2.1.3
% 7.43/1.32 % (3777356)Termination reason: Instruction limit
% 7.43/1.32 % (3777356)Termination phase: Saturation
% 7.43/1.32 % (3777356)Time elapsed: 0.079 s
% 7.43/1.32 % (3777356)Peak memory usage: 12 MB
% 7.43/1.32 % (3777356)Instructions burned: 180 (million)
% 7.43/1.32 % (3777366)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=4013884840:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2998 on theBenchmark for (2998ds/692Mi)
% 7.43/1.32 % (3777367)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=419971658:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 7.43/1.32 % (3777354)Instruction limit reached!
% 7.43/1.32 % (3777354)------------------------------
% 7.43/1.32 % (3777354)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.43/1.32 % (3777354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.43/1.32 % (3777354)CaDiCaL version: 2.1.3
% 7.43/1.32 % (3777354)Termination reason: Instruction limit
% 7.43/1.32 % (3777354)Termination phase: Saturation
% 7.43/1.32 % (3777354)Time elapsed: 0.215 s
% 7.43/1.32 % (3777354)Peak memory usage: 17 MB
% 7.43/1.32 % (3777354)Instructions burned: 685 (million)
% 7.43/1.32 % (3777395)fmb+10_1_sil=64000:random_seed=3998023097:i=22061:nm=2:gsp=on_2996 on theBenchmark for (2996ds/22061Mi)
% 7.43/1.32 % (3777395)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 7.43/1.32 % (3777395)Terminated due to inappropriate strategy.
% 7.43/1.32 % (3777395)------------------------------
% 7.43/1.32 % (3777395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.43/1.32 % (3777395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.43/1.32 % (3777395)CaDiCaL version: 2.1.3
% 7.43/1.32 % (3777395)Termination reason: Inappropriate
% 7.43/1.32 % (3777395)Time elapsed: 0.0000 s
% 7.43/1.32 % (3777395)Peak memory usage: 10 MB
% 7.43/1.32 % (3777395)------------------------------
% 7.43/1.32 % (3777395)------------------------------
% 7.43/1.32 % (3777403)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=4042013727:i=9515:nm=5_2996 on theBenchmark for (2996ds/9515Mi)
% 7.43/1.32 % (3777403)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 7.43/1.32 % (3777403)Terminated due to inappropriate strategy.
% 7.43/1.32 % (3777403)------------------------------
% 7.43/1.32 % (3777403)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.43/1.32 % (3777403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.43/1.32 % (3777403)CaDiCaL version: 2.1.3
% 7.43/1.32 % (3777403)Termination reason: Inappropriate
% 7.43/1.32 % (3777403)Time elapsed: 0.0000 s
% 7.43/1.32 % (3777403)Peak memory usage: 10 MB
% 7.43/1.32 % (3777403)------------------------------
% 7.43/1.32 % (3777403)------------------------------
% 7.43/1.32 % (3777408)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2799803688:fmbsr=1.7:i=920_2996 on theBenchmark for (2996ds/920Mi)
% 7.43/1.32 % (3777408)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 7.43/1.32 % (3777408)Terminated due to inappropriate strategy.
% 7.43/1.32 % (3777408)------------------------------
% 7.43/1.32 % (3777408)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.43/1.32 % (3777408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.43/1.32 % (3777408)CaDiCaL version: 2.1.3
% 7.43/1.32 % (3777408)Termination reason: Inappropriate
% 7.43/1.32 % (3777408)Time elapsed: 0.0000 s
% 7.43/1.32 % (3777408)Peak memory usage: 10 MB
% 7.43/1.32 % (3777408)------------------------------
% 7.43/1.32 % (3777408)------------------------------
% 7.43/1.32 % (3777414)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1533220801:i=5131_2996 on theBenchmark for (2996ds/5131Mi)
% 7.43/1.32 % (3777357)Instruction limit reached!
% 7.43/1.32 % (3777357)------------------------------
% 7.43/1.32 % (3777357)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.43/1.32 % (3777357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.43/1.32 % (3777357)CaDiCaL version: 2.1.3
% 7.43/1.32 % (3777357)Termination reason: Instruction limit
% 7.43/1.32 % (3777357)Termination phase: Saturation
% 7.43/1.32 % (3777357)Time elapsed: 0.286 s
% 7.43/1.32 % (3777357)Peak memory usage: 14 MB
% 7.43/1.32 % (3777357)Instructions burned: 478 (million)
% 7.43/1.32 % (3777438)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2968624829:i=1472:ins=7:fdi=8:gsp=on_2995 on theBenchmark for (2995ds/1472Mi)
% 7.43/1.32 % (3777366)Instruction limit reached!
% 7.43/1.32 % (3777366)------------------------------
% 7.43/1.32 % (3777366)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.43/1.32 % (3777366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.43/1.32 % (3777366)CaDiCaL version: 2.1.3
% 7.43/1.32 % (3777366)Termination reason: Instruction limit
% 7.43/1.32 % (3777366)Termination phase: Saturation
% 7.43/1.32 % (3777366)Time elapsed: 0.362 s
% 7.43/1.32 % (3777366)Peak memory usage: 16 MB
% 7.43/1.32 % (3777366)Instructions burned: 692 (million)
% 7.43/1.32 % (3777472)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2209691624:i=6324_2994 on theBenchmark for (2994ds/6324Mi)
% 7.43/1.32 % (3777472)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 7.43/1.32 % (3777472)Terminated due to inappropriate strategy.
% 7.43/1.32 % (3777472)------------------------------
% 7.43/1.32 % (3777472)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.43/1.32 % (3777472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.43/1.32 % (3777472)CaDiCaL version: 2.1.3
% 7.43/1.32 % (3777472)Termination reason: Inappropriate
% 7.43/1.32 % (3777472)Time elapsed: 0.0000 s
% 7.43/1.32 % (3777472)Peak memory usage: 10 MB
% 7.43/1.32 % (3777472)------------------------------
% 7.43/1.32 % (3777472)------------------------------
% 7.43/1.32 % (3777481)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2908679200:fmbsr=2.30978:i=2174_2993 on theBenchmark for (2993ds/2174Mi)
% 7.43/1.32 % (3777481)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 7.43/1.32 % (3777481)Terminated due to inappropriate strategy.
% 7.43/1.32 % (3777481)------------------------------
% 7.43/1.32 % (3777481)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.43/1.32 % (3777481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.43/1.32 % (3777481)CaDiCaL version: 2.1.3
% 7.43/1.32 % (3777481)Termination reason: Inappropriate
% 7.43/1.32 % (3777481)Time elapsed: 0.0000 s
% 7.43/1.32 % (3777481)Peak memory usage: 10 MB
% 7.43/1.32 % (3777481)------------------------------
% 7.43/1.32 % (3777481)------------------------------
% 7.43/1.32 % (3777487)ott-2_1_sil=16000:newcnf=on:random_seed=1893105331:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2993 on theBenchmark for (2993ds/869Mi)
% 7.43/1.32 % (3777367)Instruction limit reached!
% 7.43/1.32 % (3777367)------------------------------
% 7.43/1.32 % (3777367)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.43/1.32 % (3777367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.43/1.32 % (3777367)CaDiCaL version: 2.1.3
% 7.43/1.32 % (3777367)Termination reason: Instruction limit
% 7.43/1.32 % (3777367)Termination phase: Saturation
% 7.43/1.32 % (3777367)Time elapsed: 0.505 s
% 7.43/1.32 % (3777367)Peak memory usage: 19 MB
% 7.43/1.32 % (3777367)Instructions burned: 879 (million)
% 7.43/1.32 % (3777507)ott+10_1_sil=32000:tgt=ground:random_seed=3565510178:i=5114:av=off_2992 on theBenchmark for (2992ds/5114Mi)
% 7.43/1.32 % (3777362)Instruction limit reached!
% 7.43/1.32 % (3777362)------------------------------
% 7.43/1.32 % (3777362)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.43/1.32 % (3777362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.43/1.32 % (3777362)CaDiCaL version: 2.1.3
% 7.43/1.32 % (3777362)Termination reason: Instruction limit
% 7.43/1.32 % (3777362)Termination phase: Saturation
% 7.43/1.32 % (3777362)Time elapsed: 0.607 s
% 7.43/1.32 % (3777362)Peak memory usage: 16 MB
% 7.43/1.32 % (3777362)Instructions burned: 1179 (million)
% 7.43/1.32 % (3777525)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=676235535:i=54282_2992 on theBenchmark for (2992ds/54282Mi)
% 7.43/1.32 % (3777525)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 7.43/1.32 % (3777525)Terminated due to inappropriate strategy.
% 7.43/1.32 % (3777525)------------------------------
% 7.43/1.32 % (3777525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.43/1.32 % (3777525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.43/1.32 % (3777525)CaDiCaL version: 2.1.3
% 7.43/1.32 % (3777525)Termination reason: Inappropriate
% 7.43/1.32 % (3777525)Time elapsed: 0.0000 s
% 7.43/1.32 % (3777525)Peak memory usage: 10 MB
% 7.43/1.32 % (3777525)------------------------------
% 7.43/1.32 % (3777525)------------------------------
% 7.43/1.32 % (3777529)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2731405544:i=3512:aac=none_2992 on theBenchmark for (2992ds/3512Mi)
% 7.43/1.32 % (3777414) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3777331-3777414"...
% 7.43/1.32 % (3777414)...printing done.
% 7.43/1.32 % (3777414)Refutation found. Thanks to Tanya!
% 7.43/1.32 % SZS status Theorem for theBenchmark
% 7.43/1.32 % SZS output start Proof for theBenchmark
% 7.43/1.32 tff(func_def_0, type, d: $int).
% 7.43/1.32 tff(func_def_1, type, c: $int).
% 7.43/1.32 tff(f1,axiom,(
% 7.43/1.32 $sum($product(d,d),c) = $product($product(2,d),d)),
% 7.43/1.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p',eq)).
% 7.43/1.32 tff(f2,conjecture,(
% 7.43/1.32 $product($product(c,d),d) = $product(c,c)),
% 7.43/1.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj)).
% 7.43/1.32 tff(f3,negated_conjecture,(
% 7.43/1.32 ~ $product($product(c,d),d) = $product(c,c)),
% 7.43/1.32 inference(negated_conjecture,[status(cth)],[f2])).
% 7.43/1.32 tff(f4,definition,(
% 7.43/1.32 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 7.43/1.32 introduced(theory,[tha_commutativity])).
% 7.43/1.32 tff(f9,definition,(
% 7.43/1.32 ( ! [X0 : $int] : (~$less(X0,X0)) )),
% 7.43/1.32 introduced(theory,[tha_non-reflexivity])).
% 7.43/1.32 tff(f11,definition,(
% 7.43/1.32 ( ! [X0 : $int,X1 : $int] : ($less(X1,X0) | $less(X0,X1) | X0 = X1) )),
% 7.43/1.32 introduced(theory,[tha_order_totality])).
% 7.43/1.32 tff(f12,definition,(
% 7.43/1.32 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less($sum(X0,X2),$sum(X1,X2)) | ~$less(X0,X1)) )),
% 7.43/1.32 introduced(theory,[tha_order_monotonicity])).
% 7.43/1.32 tff(f15,definition,(
% 7.43/1.32 ( ! [X0 : $int,X1 : $int] : ($product(X0,X1) = $product(X1,X0)) )),
% 7.43/1.32 introduced(theory,[tha_commutativity])).
% 7.43/1.32 tff(f16,definition,(
% 7.43/1.32 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$product(X1,X2)) = $product($product(X0,X1),X2)) )),
% 7.43/1.32 introduced(theory,[tha_associativity])).
% 7.43/1.32 tff(f17,definition,(
% 7.43/1.32 ( ! [X0 : $int] : ($product(X0,1) = X0) )),
% 7.43/1.32 introduced(theory,[tha_right_identity])).
% 7.43/1.32 tff(f19,definition,(
% 7.43/1.32 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2))) )),
% 7.43/1.32 introduced(theory,[tha_distributivity])).
% 7.43/1.32 tff(f22,plain,(
% 7.43/1.32 $product($product(c,d),d) != $product(c,c)),
% 7.43/1.32 inference(flattening,[],[f3])).
% 7.43/1.32 tff(f23,plain,(
% 7.43/1.32 $sum($product(d,d),c) = $product($product(2,d),d)),
% 7.43/1.32 inference(cnf_transformation,[],[f1])).
% 7.43/1.32 tff(f24,plain,(
% 7.43/1.32 $product($product(c,d),d) != $product(c,c)),
% 7.43/1.32 inference(cnf_transformation,[],[f22])).
% 7.43/1.32 tff(f140,plain,(
% 7.43/1.32 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$product(X1,X2)) = $product(X1,$product(X2,X0))) )),
% 7.43/1.32 inference(superposition,[],[f16,f15])).
% 7.43/1.32 tff(f144,plain,(
% 7.43/1.32 $product(c,c) != $product(c,$product(d,d))),
% 7.43/1.32 inference(superposition,[],[f24,f16])).
% 7.43/1.32 tff(f151,plain,(
% 7.43/1.32 $sum($product(d,d),c) = $product(d,$product(2,d))),
% 7.43/1.32 inference(forward_demodulation,[],[f23,f15])).
% 7.43/1.32 tff(f152,plain,(
% 7.43/1.32 $product(d,$product(2,d)) = $sum(c,$product(d,d))),
% 7.43/1.32 inference(superposition,[],[f151,f4])).
% 7.43/1.32 tff(f168,plain,(
% 7.43/1.32 ( ! [X0 : $int,X1 : $int] : ($product(X0,$sum(1,X1)) = $sum(X0,$product(X0,X1))) )),
% 7.43/1.32 inference(superposition,[],[f19,f17])).
% 7.43/1.32 tff(f961,plain,(
% 7.43/1.32 $sum(c,$product(d,d)) = $product(2,$product(d,d))),
% 7.43/1.32 inference(forward_demodulation,[],[f152,f140])).
% 7.43/1.32 tff(f1013,plain,(
% 7.43/1.32 ( ! [X0 : $int] : ($product(X0,$sum(1,1)) = $sum(X0,X0)) )),
% 7.43/1.32 inference(superposition,[],[f168,f17])).
% 7.43/1.32 tff(f1047,plain,(
% 7.43/1.32 ( ! [X0 : $int] : ($sum(X0,X0) = $product(X0,2)) )),
% 7.43/1.32 inference(evaluation,[],[f1013])).
% 7.43/1.32 tff(f1235,plain,(
% 7.43/1.32 ( ! [X0 : $int] : ($less($sum(X0,$product(d,d)),$product(2,$product(d,d))) | ~$less(X0,c)) )),
% 7.43/1.32 inference(superposition,[],[f12,f961])).
% 7.43/1.32 tff(f1236,plain,(
% 7.43/1.32 ( ! [X0 : $int] : ($less($product(2,$product(d,d)),$sum(X0,$product(d,d))) | ~$less(c,X0)) )),
% 7.43/1.32 inference(superposition,[],[f12,f961])).
% 7.43/1.32 tff(f56618,plain,(
% 7.43/1.32 $less($product($product(d,d),2),$product(2,$product(d,d))) | ~$less($product(d,d),c)),
% 7.43/1.32 inference(superposition,[],[f1235,f1047])).
% 7.43/1.32 tff(f56643,plain,(
% 7.43/1.32 $less($product(2,$product(d,d)),$product(2,$product(d,d))) | ~$less($product(d,d),c)),
% 7.43/1.32 inference(forward_demodulation,[],[f56618,f15])).
% 7.43/1.32 tff(f56652,plain,(
% 7.43/1.32 ~$less($product(d,d),c)),
% 7.43/1.32 inference(forward_subsumption_resolution,[],[f56643,f9])).
% 7.43/1.32 tff(f56685,plain,(
% 7.43/1.32 $less($product(2,$product(d,d)),$product($product(d,d),2)) | ~$less(c,$product(d,d))),
% 7.43/1.32 inference(superposition,[],[f1236,f1047])).
% 7.43/1.32 tff(f56708,plain,(
% 7.43/1.32 $less($product(2,$product(d,d)),$product(2,$product(d,d))) | ~$less(c,$product(d,d))),
% 7.43/1.32 inference(forward_demodulation,[],[f56685,f15])).
% 7.43/1.32 tff(f56715,plain,(
% 7.43/1.32 ~$less(c,$product(d,d))),
% 7.43/1.32 inference(forward_subsumption_resolution,[],[f56708,f9])).
% 7.43/1.32 tff(f56717,plain,(
% 7.43/1.32 $less($product(d,d),c) | $product(d,d) = c),
% 7.43/1.32 inference(resolution,[],[f56715,f11])).
% 7.43/1.32 tff(f56728,plain,(
% 7.43/1.32 $product(d,d) = c),
% 7.43/1.32 inference(forward_subsumption_resolution,[],[f56717,f56652])).
% 7.43/1.32 tff(f56730,plain,(
% 7.43/1.32 $product(c,c) != $product(c,c)),
% 7.43/1.32 inference(superposition,[],[f144,f56728])).
% 7.43/1.32 tff(f56806,plain,(
% 7.43/1.32 $false),
% 7.43/1.32 inference(trivial_inequality_removal,[],[f56730])).
% 7.43/1.32 % SZS output end Proof for theBenchmark
% 7.43/1.32 % (3777414)------------------------------
% 7.43/1.32 % (3777414)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.43/1.32 % (3777414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.43/1.32 % (3777414)CaDiCaL version: 2.1.3
% 7.43/1.32 % (3777414)Termination reason: Refutation
% 7.43/1.32 % (3777414)Time elapsed: 0.744 s
% 7.43/1.32 % (3777414)Peak memory usage: 27 MB
% 7.43/1.32 % (3777414)Instructions burned: 2510 (million)
% 7.43/1.32 % (3777331)Success in time 1.118 s
% 7.43/1.32 % Vampire exiting
%------------------------------------------------------------------------------