%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI174_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n009.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 09:34:08 AM UTC 2026
% Result : Theorem 22.24s 3.44s
% Output : Refutation 22.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI174_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.19 % Computer : n009.cluster.edu
% 0.11/0.19 % Model : x86_64 x86_64
% 0.11/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.19 % Memory : 8046.5625MB
% 0.11/0.19 % OS : Linux 6.8.0-71-generic
% 0.11/0.19 % CPULimit : 300
% 0.11/0.19 % WCLimit : 300
% 0.11/0.19 % DateTime : Mon Sep 28 20:43:45 UTC 2026
% 0.11/0.19 % CPUTime :
% 0.11/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.22 Running first-order model finding
% 0.11/0.22 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
% 4.43/1.03 % (3438607)Will run a generic schedule for satisfiability detection.
% 4.43/1.03 % (3438612)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4004856480_2999 on theBenchmark for (2999ds/0Mi)
% 4.43/1.03 % (3438612)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 4.43/1.03 % (3438612)Terminated due to inappropriate strategy.
% 4.43/1.03 % (3438612)------------------------------
% 4.43/1.03 % (3438612)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.43/1.03 % (3438612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.43/1.03 % (3438612)CaDiCaL version: 2.1.3
% 4.43/1.03 % (3438612)Termination reason: Inappropriate
% 4.43/1.03 % (3438612)Time elapsed: 0.0000 s
% 4.43/1.03 % (3438612)Peak memory usage: 10 MB
% 4.43/1.03 % (3438612)------------------------------
% 4.43/1.03 % (3438612)------------------------------
% 4.43/1.03 % (3438613)% WARNING: option uhcvi not known.
% 4.43/1.03 % (3438616)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1538145116:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.43/1.03 % (3438613)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3951101976:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.43/1.03 % (3438614)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3951162411:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.43/1.03 % (3438615)dis+10_1_sil=32000:sp=arity:random_seed=1753601636:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.43/1.03 % (3438618)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3893711387:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.43/1.03 % (3438620)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1275610769:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.43/1.03 % (3438620)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 4.43/1.03 % (3438620)Terminated due to inappropriate strategy.
% 4.43/1.03 % (3438620)------------------------------
% 4.43/1.03 % (3438620)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.43/1.03 % (3438620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.43/1.03 % (3438620)CaDiCaL version: 2.1.3
% 4.43/1.03 % (3438620)Termination reason: Inappropriate
% 4.43/1.03 % (3438620)Time elapsed: 0.0000 s
% 4.43/1.03 % (3438620)Peak memory usage: 10 MB
% 4.43/1.03 % (3438620)------------------------------
% 4.43/1.03 % (3438620)------------------------------
% 4.43/1.03 % (3438617)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2454332814:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.43/1.03 % (3438627)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2003029513:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 4.43/1.03 % (3438627)Instruction limit reached!
% 4.43/1.03 % (3438627)------------------------------
% 4.43/1.03 % (3438627)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.43/1.03 % (3438627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.43/1.03 % (3438615)Instruction limit reached!
% 4.43/1.03 % (3438615)------------------------------
% 4.43/1.03 % (3438615)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.43/1.03 % (3438615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.43/1.03 % (3438627)CaDiCaL version: 2.1.3
% 4.43/1.03 % (3438615)CaDiCaL version: 2.1.3
% 4.43/1.03 % (3438627)Termination reason: Instruction limit
% 4.43/1.03 % (3438627)Termination phase: Saturation
% 4.43/1.03 % (3438615)Termination reason: Instruction limit
% 4.43/1.03 % (3438615)Termination phase: Saturation
% 4.43/1.03 % (3438627)Time elapsed: 0.046 s
% 4.43/1.03 % (3438615)Time elapsed: 0.061 s
% 4.43/1.03 % (3438627)Peak memory usage: 13 MB
% 4.43/1.03 % (3438615)Peak memory usage: 12 MB
% 4.43/1.03 % (3438627)Instructions burned: 133 (million)
% 4.43/1.03 % (3438615)Instructions burned: 103 (million)
% 4.43/1.03 % (3438616)Instruction limit reached!
% 4.43/1.03 % (3438616)------------------------------
% 4.43/1.03 % (3438616)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.43/1.03 % (3438616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.43/1.03 % (3438616)CaDiCaL version: 2.1.3
% 4.43/1.03 % (3438616)Termination reason: Instruction limit
% 4.43/1.03 % (3438616)Termination phase: Saturation
% 4.43/1.03 % (3438616)Time elapsed: 0.069 s
% 7.29/1.32 % (3438616)Peak memory usage: 12 MB
% 7.29/1.32 % (3438616)Instructions burned: 116 (million)
% 7.29/1.32 % (3438631)ott-21_1_sil=16000:fs=off:random_seed=984653128:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 7.29/1.32 % (3438630)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=4104263913:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 7.29/1.32 % (3438632)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3231265673:i=477:bd=all_2999 on theBenchmark for (2999ds/477Mi)
% 7.29/1.32 % (3438618)Instruction limit reached!
% 7.29/1.32 % (3438618)------------------------------
% 7.29/1.32 % (3438618)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.29/1.32 % (3438618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.29/1.32 % (3438618)CaDiCaL version: 2.1.3
% 7.29/1.32 % (3438618)Termination reason: Instruction limit
% 7.29/1.32 % (3438618)Termination phase: Saturation
% 7.29/1.32 % (3438618)Time elapsed: 0.096 s
% 7.29/1.32 % (3438618)Peak memory usage: 13 MB
% 7.29/1.32 % (3438618)Instructions burned: 159 (million)
% 7.29/1.32 % (3438636)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1725730677:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 7.29/1.32 % (3438636)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 7.29/1.32 % (3438636)Terminated due to inappropriate strategy.
% 7.29/1.32 % (3438636)------------------------------
% 7.29/1.32 % (3438636)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.29/1.32 % (3438636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.29/1.32 % (3438636)CaDiCaL version: 2.1.3
% 7.29/1.32 % (3438636)Termination reason: Inappropriate
% 7.29/1.32 % (3438636)Time elapsed: 0.0000 s
% 7.29/1.32 % (3438636)Peak memory usage: 10 MB
% 7.29/1.32 % (3438636)------------------------------
% 7.29/1.32 % (3438636)------------------------------
% 7.29/1.32 % (3438638)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4158150464:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 7.29/1.32 % (3438617)Instruction limit reached!
% 7.29/1.32 % (3438617)------------------------------
% 7.29/1.32 % (3438617)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.29/1.32 % (3438617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.29/1.32 % (3438617)CaDiCaL version: 2.1.3
% 7.29/1.32 % (3438617)Termination reason: Instruction limit
% 7.29/1.32 % (3438617)Termination phase: Saturation
% 7.29/1.32 % (3438617)Time elapsed: 0.130 s
% 7.29/1.32 % (3438617)Peak memory usage: 13 MB
% 7.29/1.32 % (3438617)Instructions burned: 132 (million)
% 7.29/1.32 % (3438631)Instruction limit reached!
% 7.29/1.32 % (3438631)------------------------------
% 7.29/1.32 % (3438631)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.29/1.32 % (3438631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.29/1.32 % (3438631)CaDiCaL version: 2.1.3
% 7.29/1.32 % (3438631)Termination reason: Instruction limit
% 7.29/1.32 % (3438631)Termination phase: Saturation
% 7.29/1.32 % (3438631)Time elapsed: 0.079 s
% 7.29/1.32 % (3438631)Peak memory usage: 12 MB
% 7.29/1.32 % (3438631)Instructions burned: 181 (million)
% 7.29/1.32 % (3438640)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3055852026:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 7.29/1.32 % (3438640)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 7.29/1.32 % (3438640)Terminated due to inappropriate strategy.
% 7.29/1.32 % (3438640)------------------------------
% 7.29/1.32 % (3438640)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.29/1.32 % (3438640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.29/1.32 % (3438640)CaDiCaL version: 2.1.3
% 7.29/1.32 % (3438640)Termination reason: Inappropriate
% 7.29/1.32 % (3438640)Time elapsed: 0.0000 s
% 7.29/1.32 % (3438640)Peak memory usage: 10 MB
% 7.29/1.32 % (3438640)------------------------------
% 7.29/1.32 % (3438640)------------------------------
% 7.29/1.32 % (3438641)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=1530043318: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)
% 7.29/1.32 % (3438643)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=896819509:i=879:kws=inv_precedence:fsr=off_2998 on theBenchmark for (2998ds/879Mi)
% 22.24/3.44 % (3438630)Instruction limit reached!
% 22.24/3.44 % (3438630)------------------------------
% 22.24/3.44 % (3438630)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.24/3.44 % (3438630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.24/3.44 % (3438630)CaDiCaL version: 2.1.3
% 22.24/3.44 % (3438630)Termination reason: Instruction limit
% 22.24/3.44 % (3438630)Termination phase: Saturation
% 22.24/3.44 % (3438630)Time elapsed: 0.295 s
% 22.24/3.44 % (3438630)Peak memory usage: 15 MB
% 22.24/3.44 % (3438630)Instructions burned: 686 (million)
% 22.24/3.44 % (3438655)fmb+10_1_sil=64000:random_seed=631247184:i=22061:nm=2:gsp=on_2995 on theBenchmark for (2995ds/22061Mi)
% 22.24/3.44 % (3438655)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 22.24/3.44 % (3438655)Terminated due to inappropriate strategy.
% 22.24/3.44 % (3438655)------------------------------
% 22.24/3.44 % (3438655)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.24/3.44 % (3438655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.24/3.44 % (3438655)CaDiCaL version: 2.1.3
% 22.24/3.44 % (3438655)Termination reason: Inappropriate
% 22.24/3.44 % (3438655)Time elapsed: 0.0000 s
% 22.24/3.44 % (3438655)Peak memory usage: 10 MB
% 22.24/3.44 % (3438655)------------------------------
% 22.24/3.44 % (3438655)------------------------------
% 22.24/3.44 % (3438657)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2745978566:i=9515:nm=5_2995 on theBenchmark for (2995ds/9515Mi)
% 22.24/3.44 % (3438657)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 22.24/3.44 % (3438657)Terminated due to inappropriate strategy.
% 22.24/3.44 % (3438657)------------------------------
% 22.24/3.44 % (3438657)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.24/3.44 % (3438657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.24/3.44 % (3438657)CaDiCaL version: 2.1.3
% 22.24/3.44 % (3438657)Termination reason: Inappropriate
% 22.24/3.44 % (3438657)Time elapsed: 0.001 s
% 22.24/3.44 % (3438657)Peak memory usage: 10 MB
% 22.24/3.44 % (3438657)------------------------------
% 22.24/3.44 % (3438657)------------------------------
% 22.24/3.44 % (3438632)Instruction limit reached!
% 22.24/3.44 % (3438632)------------------------------
% 22.24/3.44 % (3438632)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.24/3.44 % (3438632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.24/3.44 % (3438632)CaDiCaL version: 2.1.3
% 22.24/3.44 % (3438632)Termination reason: Instruction limit
% 22.24/3.44 % (3438632)Termination phase: Saturation
% 22.24/3.44 % (3438632)Time elapsed: 0.353 s
% 22.24/3.44 % (3438632)Peak memory usage: 14 MB
% 22.24/3.44 % (3438632)Instructions burned: 478 (million)
% 22.24/3.44 % (3438665)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1908861438:i=5131_2995 on theBenchmark for (2995ds/5131Mi)
% 22.24/3.44 % (3438664)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1551836186:fmbsr=1.7:i=920_2995 on theBenchmark for (2995ds/920Mi)
% 22.24/3.44 % (3438664)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 22.24/3.44 % (3438664)Terminated due to inappropriate strategy.
% 22.24/3.44 % (3438664)------------------------------
% 22.24/3.44 % (3438664)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.24/3.44 % (3438664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.24/3.44 % (3438664)CaDiCaL version: 2.1.3
% 22.24/3.44 % (3438664)Termination reason: Inappropriate
% 22.24/3.44 % (3438664)Time elapsed: 0.0000 s
% 22.24/3.44 % (3438664)Peak memory usage: 10 MB
% 22.24/3.44 % (3438664)------------------------------
% 22.24/3.44 % (3438664)------------------------------
% 22.24/3.44 % (3438668)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3963448943:i=1472:ins=7:fdi=8:gsp=on_2994 on theBenchmark for (2994ds/1472Mi)
% 22.24/3.44 % (3438641)Instruction limit reached!
% 22.24/3.44 % (3438641)------------------------------
% 22.24/3.44 % (3438641)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.24/3.44 % (3438641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.24/3.44 % (3438641)CaDiCaL version: 2.1.3
% 22.24/3.44 % (3438641)Termination reason: Instruction limit
% 22.24/3.44 % (3438641)Termination phase: Saturation
% 22.24/3.44 % (3438641)Time elapsed: 0.597 s
% 22.24/3.44 % (3438641)Peak memory usage: 16 MB
% 22.24/3.44 % (3438641)Instructions burned: 692 (million)
% 22.24/3.44 % (3438675)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=547931118:i=6324_2991 on theBenchmark for (2991ds/6324Mi)
% 22.24/3.44 % (3438675)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 22.24/3.44 % (3438675)Terminated due to inappropriate strategy.
% 22.24/3.44 % (3438675)------------------------------
% 22.24/3.44 % (3438675)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.24/3.44 % (3438675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.24/3.44 % (3438675)CaDiCaL version: 2.1.3
% 22.24/3.44 % (3438675)Termination reason: Inappropriate
% 22.24/3.44 % (3438675)Time elapsed: 0.0000 s
% 22.24/3.44 % (3438675)Peak memory usage: 10 MB
% 22.24/3.44 % (3438675)------------------------------
% 22.24/3.44 % (3438675)------------------------------
% 22.24/3.44 % (3438677)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1336258584:fmbsr=2.30978:i=2174_2991 on theBenchmark for (2991ds/2174Mi)
% 22.24/3.44 % (3438677)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 22.24/3.44 % (3438677)Terminated due to inappropriate strategy.
% 22.24/3.44 % (3438677)------------------------------
% 22.24/3.44 % (3438677)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.24/3.44 % (3438677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.24/3.44 % (3438677)CaDiCaL version: 2.1.3
% 22.24/3.44 % (3438677)Termination reason: Inappropriate
% 22.24/3.44 % (3438677)Time elapsed: 0.0000 s
% 22.24/3.44 % (3438677)Peak memory usage: 10 MB
% 22.24/3.44 % (3438677)------------------------------
% 22.24/3.44 % (3438677)------------------------------
% 22.24/3.44 % (3438679)ott-2_1_sil=16000:newcnf=on:random_seed=896035201:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2991 on theBenchmark for (2991ds/869Mi)
% 22.24/3.44 % (3438643)Instruction limit reached!
% 22.24/3.44 % (3438643)------------------------------
% 22.24/3.44 % (3438643)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.24/3.44 % (3438643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.24/3.44 % (3438643)CaDiCaL version: 2.1.3
% 22.24/3.44 % (3438643)Termination reason: Instruction limit
% 22.24/3.44 % (3438643)Termination phase: Saturation
% 22.24/3.44 % (3438643)Time elapsed: 0.709 s
% 22.24/3.44 % (3438643)Peak memory usage: 18 MB
% 22.24/3.44 % (3438643)Instructions burned: 881 (million)
% 22.24/3.44 % (3438682)ott+10_1_sil=32000:tgt=ground:random_seed=954702546:i=5114:av=off_2990 on theBenchmark for (2990ds/5114Mi)
% 22.24/3.44 % (3438638)Instruction limit reached!
% 22.24/3.44 % (3438638)------------------------------
% 22.24/3.44 % (3438638)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.24/3.44 % (3438638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.24/3.44 % (3438638)CaDiCaL version: 2.1.3
% 22.24/3.44 % (3438638)Termination reason: Instruction limit
% 22.24/3.44 % (3438638)Termination phase: Saturation
% 22.24/3.44 % (3438638)Time elapsed: 0.862 s
% 22.24/3.44 % (3438638)Peak memory usage: 17 MB
% 22.24/3.44 % (3438638)Instructions burned: 1179 (million)
% 22.24/3.44 % (3438684)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2576772595:i=54282_2989 on theBenchmark for (2989ds/54282Mi)
% 22.24/3.44 % (3438684)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 22.24/3.44 % (3438684)Terminated due to inappropriate strategy.
% 22.24/3.44 % (3438684)------------------------------
% 22.24/3.44 % (3438684)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.24/3.44 % (3438684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.24/3.44 % (3438684)CaDiCaL version: 2.1.3
% 22.24/3.44 % (3438684)Termination reason: Inappropriate
% 22.24/3.44 % (3438684)Time elapsed: 0.0000 s
% 22.24/3.44 % (3438684)Peak memory usage: 10 MB
% 22.24/3.44 % (3438684)------------------------------
% 22.24/3.44 % (3438684)------------------------------
% 22.24/3.44 % (3438686)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2951861470:i=3512:aac=none_2989 on theBenchmark for (2989ds/3512Mi)
% 22.24/3.44 % (3438668)Instruction limit reached!
% 22.24/3.44 % (3438668)------------------------------
% 22.24/3.44 % (3438668)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.24/3.44 % (3438668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.24/3.44 % (3438668)CaDiCaL version: 2.1.3
% 22.24/3.44 % (3438668)Termination reason: Instruction limit
% 22.24/3.44 % (3438668)Termination phase: Saturation
% 22.24/3.44 % (3438668)Time elapsed: 0.566 s
% 22.24/3.44 % (3438668)Peak memory usage: 24 MB
% 22.24/3.44 % (3438668)Instructions burned: 1473 (million)
% 22.24/3.44 % (3438688)dis+21_1_sil=32000:sas=cadical:random_seed=129268795:i=3773:amm=off_2989 on theBenchmark for (2989ds/3773Mi)
% 22.24/3.44 % (3438679)Instruction limit reached!
% 22.24/3.44 % (3438679)------------------------------
% 22.24/3.44 % (3438679)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.24/3.44 % (3438679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.24/3.44 % (3438679)CaDiCaL version: 2.1.3
% 22.24/3.44 % (3438679)Termination reason: Instruction limit
% 22.24/3.44 % (3438679)Termination phase: Saturation
% 22.24/3.44 % (3438679)Time elapsed: 0.519 s
% 22.24/3.44 % (3438679)Peak memory usage: 17 MB
% 22.24/3.44 % (3438679)Instructions burned: 870 (million)
% 22.24/3.44 % (3438730)ott+11_1_sil=16000:gs=on:random_seed=1920362818:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2985 on theBenchmark for (2985ds/2251Mi)
% 22.24/3.44 % (3438688)Instruction limit reached!
% 22.24/3.44 % (3438688)------------------------------
% 22.24/3.44 % (3438688)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.24/3.44 % (3438688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.24/3.44 % (3438688)CaDiCaL version: 2.1.3
% 22.24/3.44 % (3438688)Termination reason: Instruction limit
% 22.24/3.44 % (3438688)Termination phase: Saturation
% 22.24/3.44 % (3438688)Time elapsed: 1.037 s
% 22.24/3.44 % (3438688)Peak memory usage: 31 MB
% 22.24/3.44 % (3438688)Instructions burned: 3775 (million)
% 22.24/3.44 % (3438845)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=4026990940:fmbsr=1.6:i=67534_2978 on theBenchmark for (2978ds/67534Mi)
% 22.24/3.44 % (3438845)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 22.24/3.44 % (3438845)Terminated due to inappropriate strategy.
% 22.24/3.44 % (3438845)------------------------------
% 22.24/3.44 % (3438845)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.24/3.44 % (3438845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.24/3.44 % (3438845)CaDiCaL version: 2.1.3
% 22.24/3.44 % (3438845)Termination reason: Inappropriate
% 22.24/3.44 % (3438845)Time elapsed: 0.0000 s
% 22.24/3.44 % (3438845)Peak memory usage: 10 MB
% 22.24/3.44 % (3438845)------------------------------
% 22.24/3.44 % (3438845)------------------------------
% 22.24/3.44 % (3438847)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=1185876200:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2978 on theBenchmark for (2978ds/4591Mi)
% 22.24/3.44 % (3438730)Instruction limit reached!
% 22.24/3.44 % (3438730)------------------------------
% 22.24/3.44 % (3438730)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.24/3.44 % (3438730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.24/3.44 % (3438730)CaDiCaL version: 2.1.3
% 22.24/3.44 % (3438730)Termination reason: Instruction limit
% 22.24/3.44 % (3438730)Termination phase: Saturation
% 22.24/3.44 % (3438730)Time elapsed: 1.184 s
% 22.24/3.44 % (3438730)Peak memory usage: 23 MB
% 22.24/3.44 % (3438730)Instructions burned: 2251 (million)
% 22.24/3.44 % (3438849)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=2210805824:i=29340_2973 on theBenchmark for (2973ds/29340Mi)
% 22.24/3.44 % (3438686)Instruction limit reached!
% 22.24/3.44 % (3438686)------------------------------
% 22.24/3.44 % (3438686)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.24/3.44 % (3438686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.24/3.44 % (3438686)CaDiCaL version: 2.1.3
% 22.24/3.44 % (3438686)Termination reason: Instruction limit
% 22.24/3.44 % (3438686)Termination phase: Saturation
% 22.24/3.44 % (3438686)Time elapsed: 1.802 s
% 22.24/3.44 % (3438686)Peak memory usage: 29 MB
% 22.24/3.44 % (3438686)Instructions burned: 3513 (million)
% 22.24/3.44 % (3438851)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=1378629867:i=5211_2971 on theBenchmark for (2971ds/5211Mi)
% 22.24/3.44 % (3438849) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3438607-3438849"...
% 22.24/3.44 % (3438849)...printing done.
% 22.24/3.44 % (3438849)Refutation found. Thanks to Tanya!
% 22.24/3.44 % SZS status Theorem for theBenchmark
% 22.24/3.44 % SZS output start Proof for theBenchmark
% 22.24/3.44 tff(f1,conjecture,(
% 22.24/3.44 ? [X0 : $int,X1 : $int] : $sum($product(3,X0),$product(5,X1)) = 24),
% 22.24/3.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)).
% 22.24/3.44 tff(f2,negated_conjecture,(
% 22.24/3.44 ~ ? [X0 : $int,X1 : $int] : $sum($product(3,X0),$product(5,X1)) = 24),
% 22.24/3.44 inference(negated_conjecture,[status(cth)],[f1])).
% 22.24/3.44 tff(f3,definition,(
% 22.24/3.44 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 22.24/3.44 introduced(theory,[tha_commutativity])).
% 22.24/3.44 tff(f4,definition,(
% 22.24/3.44 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 22.24/3.44 introduced(theory,[tha_associativity])).
% 22.24/3.44 tff(f14,definition,(
% 22.24/3.44 ( ! [X0 : $int,X1 : $int] : ($product(X0,X1) = $product(X1,X0)) )),
% 22.24/3.44 introduced(theory,[tha_commutativity])).
% 22.24/3.44 tff(f16,definition,(
% 22.24/3.44 ( ! [X0 : $int] : ($product(X0,1) = X0) )),
% 22.24/3.44 introduced(theory,[tha_right_identity])).
% 22.24/3.44 tff(f18,definition,(
% 22.24/3.44 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2))) )),
% 22.24/3.44 introduced(theory,[tha_distributivity])).
% 22.24/3.44 tff(f21,plain,(
% 22.24/3.44 ! [X0 : $int,X1 : $int] : $sum($product(3,X0),$product(5,X1)) != 24),
% 22.24/3.44 inference(ennf_transformation,[],[f2])).
% 22.24/3.44 tff(f22,plain,(
% 22.24/3.44 ( ! [X0 : $int,X1 : $int] : ($sum($product(3,X0),$product(5,X1)) != 24) )),
% 22.24/3.44 inference(cnf_transformation,[],[f21])).
% 22.24/3.44 tff(f77,plain,(
% 22.24/3.44 ( ! [X0 : $int,X1 : $int] : (24 != $sum($product(3,X1),$product(X0,5))) )),
% 22.24/3.44 inference(superposition,[],[f22,f14])).
% 22.24/3.44 tff(f7227,plain,(
% 22.24/3.44 ( ! [X0 : $int,X1 : $int] : ($product(X0,$sum(1,X1)) = $sum(X0,$product(X0,X1))) )),
% 22.24/3.44 inference(superposition,[],[f18,f16])).
% 22.24/3.44 tff(f7232,plain,(
% 22.24/3.44 ( ! [X0 : $int,X1 : $int] : ($product(X0,$sum(X1,1)) = $sum($product(X0,X1),X0)) )),
% 22.24/3.44 inference(superposition,[],[f18,f16])).
% 22.24/3.44 tff(f7266,plain,(
% 22.24/3.44 ( ! [X0 : $int,X1 : $int] : ($sum(X0,$product(X0,X1)) = $product(X0,$sum(X1,1))) )),
% 22.24/3.44 inference(forward_demodulation,[],[f7232,f3])).
% 22.24/3.44 tff(f20672,plain,(
% 22.24/3.44 ( ! [X0 : $int,X1 : $int] : (24 != $sum($sum(3,$product(3,X0)),$product(X1,5))) )),
% 22.24/3.44 inference(superposition,[],[f77,f7266])).
% 22.24/3.44 tff(f21481,plain,(
% 22.24/3.44 ( ! [X0 : $int,X1 : $int] : (24 != $sum(3,$sum($product(3,X0),$product(X1,5)))) )),
% 22.24/3.44 inference(forward_demodulation,[],[f20672,f4])).
% 22.24/3.44 tff(f21804,plain,(
% 22.24/3.44 ( ! [X0 : $int,X1 : $int] : (24 != $sum(3,$sum($sum(3,$product(3,X0)),$product(X1,5)))) )),
% 22.24/3.44 inference(superposition,[],[f21481,f7266])).
% 22.24/3.44 tff(f21824,plain,(
% 22.24/3.44 ( ! [X0 : $int,X1 : $int] : (24 != $sum(3,$sum(3,$sum($product(3,X0),$product(X1,5))))) )),
% 22.24/3.44 inference(forward_demodulation,[],[f21804,f4])).
% 22.24/3.44 tff(f25141,plain,(
% 22.24/3.44 ( ! [X0 : $int] : (24 != $sum(3,$sum(3,$sum(3,$product(X0,5))))) )),
% 22.24/3.44 inference(superposition,[],[f21824,f16])).
% 22.24/3.44 tff(f25165,plain,(
% 22.24/3.44 24 != $sum(3,$sum(3,$product(3,$sum(1,5))))),
% 22.24/3.44 inference(superposition,[],[f25141,f7227])).
% 22.24/3.44 tff(f25166,plain,(
% 22.24/3.44 $false),
% 22.24/3.44 inference(evaluation,[],[f25165])).
% 22.24/3.44 % SZS output end Proof for theBenchmark
% 22.24/3.44 % (3438849)------------------------------
% 22.24/3.44 % (3438849)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.24/3.44 % (3438849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.24/3.44 % (3438849)CaDiCaL version: 2.1.3
% 22.24/3.44 % (3438849)Termination reason: Refutation
% 22.24/3.44 % (3438849)Time elapsed: 0.572 s
% 22.24/3.44 % (3438849)Peak memory usage: 18 MB
% 22.24/3.44 % (3438849)Instructions burned: 1116 (million)
% 22.24/3.44 % (3438607)Success in time 3.215 s
% 22.24/3.44 % Vampire exiting
%------------------------------------------------------------------------------