%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : DAT101_1 : TPTP v9.3.1. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 09:48:08 AM UTC 2026
% Result : Theorem 4.10s 1.03s
% Output : Refutation 4.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : DAT101_1 : TPTP v9.3.1. Released v6.1.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.22 % Computer : n018.cluster.edu
% 0.10/0.22 % Model : x86_64 x86_64
% 0.10/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.22 % Memory : 8046.5625MB
% 0.10/0.22 % OS : Linux 6.8.0-71-generic
% 0.10/0.23 % CPULimit : 300
% 0.10/0.23 % WCLimit : 300
% 0.10/0.23 % DateTime : Tue Sep 29 00:10:41 UTC 2026
% 0.10/0.23 % CPUTime :
% 0.10/0.23 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.26 Running first-order model finding
% 0.10/0.26 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.58/0.87 % (3914758)Will run a generic schedule for satisfiability detection.
% 3.58/0.87 % (3914769)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=291754098:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 3.58/0.87 % (3914764)% WARNING: option uhcvi not known.
% 3.58/0.87 % (3914763)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3181383552_3000 on theBenchmark for (3000ds/0Mi)
% 3.58/0.87 % (3914764)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=914602706:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 3.58/0.87 % (3914765)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=454942953:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 3.58/0.87 % (3914766)dis+10_1_sil=32000:sp=arity:random_seed=3347323395:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 3.58/0.87 % (3914767)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3446488494:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 3.58/0.87 % (3914768)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1109602100:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 3.58/0.87 % (3914763)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 3.58/0.87 % (3914763)Terminated due to inappropriate strategy.
% 3.58/0.87 % (3914763)------------------------------
% 3.58/0.87 % (3914763)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.58/0.87 % (3914763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/0.87 % (3914763)CaDiCaL version: 2.1.3
% 3.58/0.87 % (3914763)Termination reason: Inappropriate
% 3.58/0.87 % (3914763)Time elapsed: 0.001 s
% 3.58/0.87 % (3914763)Peak memory usage: 10 MB
% 3.58/0.87 % (3914763)------------------------------
% 3.58/0.87 % (3914763)------------------------------
% 3.58/0.87 % (3914777)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2081891897:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 3.58/0.87 % (3914777)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 3.58/0.87 % (3914777)Terminated due to inappropriate strategy.
% 3.58/0.87 % (3914777)------------------------------
% 3.58/0.87 % (3914777)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.58/0.87 % (3914777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/0.87 % (3914777)CaDiCaL version: 2.1.3
% 3.58/0.87 % (3914777)Termination reason: Inappropriate
% 3.58/0.87 % (3914777)Time elapsed: 0.001 s
% 3.58/0.87 % (3914777)Peak memory usage: 11 MB
% 3.58/0.87 % (3914777)------------------------------
% 3.58/0.87 % (3914777)------------------------------
% 3.58/0.87 % (3914779)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2805948396:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 3.58/0.87 % (3914769)Instruction limit reached!
% 3.58/0.87 % (3914769)------------------------------
% 3.58/0.87 % (3914769)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.58/0.87 % (3914769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/0.87 % (3914769)CaDiCaL version: 2.1.3
% 3.58/0.87 % (3914769)Termination reason: Instruction limit
% 3.58/0.87 % (3914769)Termination phase: Saturation
% 3.58/0.87 % (3914769)Time elapsed: 0.054 s
% 3.58/0.87 % (3914769)Peak memory usage: 14 MB
% 3.58/0.87 % (3914769)Instructions burned: 161 (million)
% 3.58/0.87 % (3914781)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=896554504:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 3.58/0.87 % (3914766)Instruction limit reached!
% 3.58/0.87 % (3914766)------------------------------
% 3.58/0.87 % (3914766)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.58/0.87 % (3914766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/0.87 % (3914766)CaDiCaL version: 2.1.3
% 3.58/0.87 % (3914766)Termination reason: Instruction limit
% 3.58/0.87 % (3914766)Termination phase: Saturation
% 3.58/0.87 % (3914766)Time elapsed: 0.061 s
% 3.58/0.87 % (3914766)Peak memory usage: 12 MB
% 3.58/0.87 % (3914766)Instructions burned: 103 (million)
% 3.58/0.87 % (3914767)Instruction limit reached!
% 3.58/0.87 % (3914767)------------------------------
% 3.58/0.87 % (3914767)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.58/0.87 % (3914767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.03 % (3914767)CaDiCaL version: 2.1.3
% 4.10/1.03 % (3914767)Termination reason: Instruction limit
% 4.10/1.03 % (3914767)Termination phase: Saturation
% 4.10/1.03 % (3914767)Time elapsed: 0.070 s
% 4.10/1.03 % (3914767)Peak memory usage: 12 MB
% 4.10/1.03 % (3914767)Instructions burned: 116 (million)
% 4.10/1.03 % (3914786)ott-21_1_sil=16000:fs=off:random_seed=3237013026:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 4.10/1.03 % (3914768)Instruction limit reached!
% 4.10/1.03 % (3914768)------------------------------
% 4.10/1.03 % (3914768)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.10/1.03 % (3914768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.03 % (3914768)CaDiCaL version: 2.1.3
% 4.10/1.03 % (3914768)Termination reason: Instruction limit
% 4.10/1.03 % (3914768)Termination phase: Saturation
% 4.10/1.03 % (3914768)Time elapsed: 0.084 s
% 4.10/1.03 % (3914768)Peak memory usage: 13 MB
% 4.10/1.03 % (3914768)Instructions burned: 132 (million)
% 4.10/1.03 % (3914791)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2183167687:i=477:bd=all_2999 on theBenchmark for (2999ds/477Mi)
% 4.10/1.03 % (3914800)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=110100783:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 4.10/1.03 % (3914800)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 4.10/1.03 % (3914800)Terminated due to inappropriate strategy.
% 4.10/1.03 % (3914800)------------------------------
% 4.10/1.03 % (3914800)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.10/1.03 % (3914800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.03 % (3914800)CaDiCaL version: 2.1.3
% 4.10/1.03 % (3914800)Termination reason: Inappropriate
% 4.10/1.03 % (3914800)Time elapsed: 0.0000 s
% 4.10/1.03 % (3914800)Peak memory usage: 10 MB
% 4.10/1.03 % (3914800)------------------------------
% 4.10/1.03 % (3914800)------------------------------
% 4.10/1.03 % (3914812)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=784588127:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 4.10/1.03 % (3914779)Instruction limit reached!
% 4.10/1.03 % (3914779)------------------------------
% 4.10/1.03 % (3914779)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.10/1.03 % (3914779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.03 % (3914779)CaDiCaL version: 2.1.3
% 4.10/1.03 % (3914779)Termination reason: Instruction limit
% 4.10/1.03 % (3914779)Termination phase: Saturation
% 4.10/1.03 % (3914779)Time elapsed: 0.087 s
% 4.10/1.03 % (3914779)Peak memory usage: 12 MB
% 4.10/1.03 % (3914779)Instructions burned: 131 (million)
% 4.10/1.03 % (3914827)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=444814269:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 4.10/1.03 % (3914827)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 4.10/1.03 % (3914827)Terminated due to inappropriate strategy.
% 4.10/1.03 % (3914827)------------------------------
% 4.10/1.03 % (3914827)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.10/1.03 % (3914827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.03 % (3914827)CaDiCaL version: 2.1.3
% 4.10/1.03 % (3914827)Termination reason: Inappropriate
% 4.10/1.03 % (3914827)Time elapsed: 0.001 s
% 4.10/1.03 % (3914827)Peak memory usage: 10 MB
% 4.10/1.03 % (3914827)------------------------------
% 4.10/1.03 % (3914827)------------------------------
% 4.10/1.03 % (3914786)Instruction limit reached!
% 4.10/1.03 % (3914786)------------------------------
% 4.10/1.03 % (3914786)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.10/1.03 % (3914786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.03 % (3914786)CaDiCaL version: 2.1.3
% 4.10/1.03 % (3914786)Termination reason: Instruction limit
% 4.10/1.03 % (3914786)Termination phase: Saturation
% 4.10/1.03 % (3914786)Time elapsed: 0.081 s
% 4.10/1.03 % (3914786)Peak memory usage: 12 MB
% 4.10/1.03 % (3914786)Instructions burned: 180 (million)
% 4.10/1.03 % (3914833)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=2826744478: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)
% 4.10/1.03 % (3914839)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=4125608456:i=879:kws=inv_precedence:fsr=off_2998 on theBenchmark for (2998ds/879Mi)
% 4.10/1.03 % (3914781)Instruction limit reached!
% 4.10/1.03 % (3914781)------------------------------
% 4.10/1.03 % (3914781)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.10/1.03 % (3914781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.03 % (3914781)CaDiCaL version: 2.1.3
% 4.10/1.03 % (3914781)Termination reason: Instruction limit
% 4.10/1.03 % (3914781)Termination phase: Saturation
% 4.10/1.03 % (3914781)Time elapsed: 0.188 s
% 4.10/1.03 % (3914781)Peak memory usage: 16 MB
% 4.10/1.03 % (3914781)Instructions burned: 687 (million)
% 4.10/1.03 % (3914876)fmb+10_1_sil=64000:random_seed=116964157:i=22061:nm=2:gsp=on_2997 on theBenchmark for (2997ds/22061Mi)
% 4.10/1.03 % (3914876)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 4.10/1.03 % (3914876)Terminated due to inappropriate strategy.
% 4.10/1.03 % (3914876)------------------------------
% 4.10/1.03 % (3914876)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.10/1.03 % (3914876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.03 % (3914876)CaDiCaL version: 2.1.3
% 4.10/1.03 % (3914876)Termination reason: Inappropriate
% 4.10/1.03 % (3914876)Time elapsed: 0.0000 s
% 4.10/1.03 % (3914876)Peak memory usage: 10 MB
% 4.10/1.03 % (3914876)------------------------------
% 4.10/1.03 % (3914876)------------------------------
% 4.10/1.03 % (3914884)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3568591157:i=9515:nm=5_2997 on theBenchmark for (2997ds/9515Mi)
% 4.10/1.03 % (3914884)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 4.10/1.03 % (3914884)Terminated due to inappropriate strategy.
% 4.10/1.03 % (3914884)------------------------------
% 4.10/1.03 % (3914884)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.10/1.03 % (3914884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.03 % (3914884)CaDiCaL version: 2.1.3
% 4.10/1.03 % (3914884)Termination reason: Inappropriate
% 4.10/1.03 % (3914884)Time elapsed: 0.0000 s
% 4.10/1.03 % (3914884)Peak memory usage: 10 MB
% 4.10/1.03 % (3914884)------------------------------
% 4.10/1.03 % (3914884)------------------------------
% 4.10/1.03 % (3914891)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1258231709:fmbsr=1.7:i=920_2997 on theBenchmark for (2997ds/920Mi)
% 4.10/1.03 % (3914891)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 4.10/1.03 % (3914891)Terminated due to inappropriate strategy.
% 4.10/1.03 % (3914891)------------------------------
% 4.10/1.03 % (3914891)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.10/1.03 % (3914891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.03 % (3914891)CaDiCaL version: 2.1.3
% 4.10/1.03 % (3914891)Termination reason: Inappropriate
% 4.10/1.03 % (3914891)Time elapsed: 0.0000 s
% 4.10/1.03 % (3914891)Peak memory usage: 10 MB
% 4.10/1.03 % (3914891)------------------------------
% 4.10/1.03 % (3914891)------------------------------
% 4.10/1.03 % (3914895)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=518109665:i=5131_2996 on theBenchmark for (2996ds/5131Mi)
% 4.10/1.03 % (3914791)Instruction limit reached!
% 4.10/1.03 % (3914791)------------------------------
% 4.10/1.03 % (3914791)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.10/1.03 % (3914791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.03 % (3914791)CaDiCaL version: 2.1.3
% 4.10/1.03 % (3914791)Termination reason: Instruction limit
% 4.10/1.03 % (3914791)Termination phase: Saturation
% 4.10/1.03 % (3914791)Time elapsed: 0.280 s
% 4.10/1.03 % (3914791)Peak memory usage: 14 MB
% 4.10/1.03 % (3914791)Instructions burned: 477 (million)
% 4.10/1.03 % (3914910)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2662039963:i=1472:ins=7:fdi=8:gsp=on_2996 on theBenchmark for (2996ds/1472Mi)
% 4.10/1.03 % (3914833)Instruction limit reached!
% 4.10/1.03 % (3914833)------------------------------
% 4.10/1.03 % (3914833)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.10/1.03 % (3914833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.03 % (3914833)CaDiCaL version: 2.1.3
% 4.10/1.03 % (3914833)Termination reason: Instruction limit
% 4.10/1.03 % (3914833)Termination phase: Saturation
% 4.10/1.03 % (3914833)Time elapsed: 0.419 s
% 4.10/1.03 % (3914833)Peak memory usage: 17 MB
% 4.10/1.03 % (3914833)Instructions burned: 692 (million)
% 4.10/1.03 % (3914959)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=822017236:i=6324_2993 on theBenchmark for (2993ds/6324Mi)
% 4.10/1.03 % (3914959)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 4.10/1.03 % (3914959)Terminated due to inappropriate strategy.
% 4.10/1.03 % (3914959)------------------------------
% 4.10/1.03 % (3914959)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.10/1.03 % (3914959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.03 % (3914959)CaDiCaL version: 2.1.3
% 4.10/1.03 % (3914959)Termination reason: Inappropriate
% 4.10/1.03 % (3914959)Time elapsed: 0.001 s
% 4.10/1.03 % (3914959)Peak memory usage: 10 MB
% 4.10/1.03 % (3914959)------------------------------
% 4.10/1.03 % (3914959)------------------------------
% 4.10/1.03 % (3914961)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2630544148:fmbsr=2.30978:i=2174_2993 on theBenchmark for (2993ds/2174Mi)
% 4.10/1.03 % (3914961)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 4.10/1.03 % (3914961)Terminated due to inappropriate strategy.
% 4.10/1.03 % (3914961)------------------------------
% 4.10/1.03 % (3914961)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.10/1.03 % (3914961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.03 % (3914961)CaDiCaL version: 2.1.3
% 4.10/1.03 % (3914961)Termination reason: Inappropriate
% 4.10/1.03 % (3914961)Time elapsed: 0.0000 s
% 4.10/1.03 % (3914961)Peak memory usage: 10 MB
% 4.10/1.03 % (3914961)------------------------------
% 4.10/1.03 % (3914961)------------------------------
% 4.10/1.03 % (3914963)ott-2_1_sil=16000:newcnf=on:random_seed=1695453615:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2993 on theBenchmark for (2993ds/869Mi)
% 4.10/1.03 % (3914839)Instruction limit reached!
% 4.10/1.03 % (3914839)------------------------------
% 4.10/1.03 % (3914839)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.10/1.03 % (3914839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.03 % (3914839)CaDiCaL version: 2.1.3
% 4.10/1.03 % (3914839)Termination reason: Instruction limit
% 4.10/1.03 % (3914839)Termination phase: Saturation
% 4.10/1.03 % (3914839)Time elapsed: 0.523 s
% 4.10/1.03 % (3914839)Peak memory usage: 18 MB
% 4.10/1.03 % (3914839)Instructions burned: 881 (million)
% 4.10/1.03 % (3914965)ott+10_1_sil=32000:tgt=ground:random_seed=2905831390:i=5114:av=off_2992 on theBenchmark for (2992ds/5114Mi)
% 4.10/1.03 % (3914965) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3914758-3914965"...
% 4.10/1.03 % (3914965)...printing done.
% 4.10/1.03 % (3914965)Refutation found. Thanks to Tanya!
% 4.10/1.03 % SZS status Theorem for theBenchmark
% 4.10/1.03 % SZS output start Proof for theBenchmark
% 4.10/1.03 tff(type_def_5, type, list: $tType).
% 4.10/1.03 tff(func_def_0, type, nil: list).
% 4.10/1.03 tff(func_def_1, type, cons: ($int * list) > list).
% 4.10/1.03 tff(func_def_2, type, head: list > $int).
% 4.10/1.03 tff(func_def_3, type, tail: list > list).
% 4.10/1.03 tff(func_def_11, type, sK0: ($int * list) > $int).
% 4.10/1.03 tff(func_def_12, type, sK1: ($int * list) > list).
% 4.10/1.03 tff(func_def_13, type, sF2: list).
% 4.10/1.03 tff(func_def_14, type, sF3: list).
% 4.10/1.03 tff(func_def_15, type, sF4: list).
% 4.10/1.03 tff(pred_def_1, type, inRange: ($int * list) > $o).
% 4.10/1.03 tff(f1,axiom,(
% 4.10/1.03 ! [X0 : $int,X1 : list] : head(cons(X0,X1)) = X0),
% 4.10/1.03 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1)).
% 4.10/1.03 tff(f2,axiom,(
% 4.10/1.03 ! [X0 : $int,X1 : list] : tail(cons(X0,X1)) = X1),
% 4.10/1.03 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l2)).
% 4.10/1.03 tff(f4,axiom,(
% 4.10/1.03 ! [X0 : $int,X1 : list] : cons(X0,X1) != nil),
% 4.10/1.03 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l4)).
% 4.10/1.03 tff(f5,axiom,(
% 4.10/1.03 ! [X0 : $int,X1 : list] : (inRange(X0,X1) <=> (X1 = nil | ? [X2 : $int,X3 : list] : (X1 = cons(X2,X3) & $lesseq(0,X2) & $less(X2,X0) & inRange(X0,X3))))),
% 4.10/1.03 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inRange)).
% 4.10/1.03 tff(f6,conjecture,(
% 4.10/1.03 ~ ! [X0 : $int] : ($greatereq(X0,4) => inRange(X0,cons(1,cons(5,cons(2,nil)))))),
% 4.10/1.03 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c)).
% 4.10/1.03 tff(f7,negated_conjecture,(
% 4.10/1.03 ~ ~ ! [X0 : $int] : ($greatereq(X0,4) => inRange(X0,cons(1,cons(5,cons(2,nil)))))),
% 4.10/1.03 inference(negated_conjecture,[status(cth)],[f6])).
% 4.10/1.03 tff(f8,plain,(
% 4.10/1.03 ! [X0 : $int,X1 : list] : (inRange(X0,X1) <=> (X1 = nil | ? [X2 : $int,X3 : list] : (X1 = cons(X2,X3) & ~$less(X2,0) & $less(X2,X0) & inRange(X0,X3))))),
% 4.10/1.03 inference(theory_normalization,[],[f5])).
% 4.10/1.03 tff(f9,plain,(
% 4.10/1.03 ! [X0 : $int] : (~$less(X0,4) => inRange(X0,cons(1,cons(5,cons(2,nil)))))),
% 4.10/1.03 inference(theory_normalization,[],[f7])).
% 4.10/1.03 tff(f15,definition,(
% 4.10/1.03 ( ! [X0 : $int] : (~$less(X0,X0)) )),
% 4.10/1.03 introduced(theory,[tha_non-reflexivity])).
% 4.10/1.03 tff(f22,plain,(
% 4.10/1.03 ! [X0 : $int] : (inRange(X0,cons(1,cons(5,cons(2,nil)))) | $less(X0,4))),
% 4.10/1.03 inference(ennf_transformation,[],[f9])).
% 4.10/1.03 tff(f23,plain,(
% 4.10/1.03 ! [X0 : $int,X1 : list] : ((inRange(X0,X1) | (nil != X1 & ! [X2 : $int,X3 : list] : (cons(X2,X3) != X1 | $less(X2,0) | ~$less(X2,X0) | ~inRange(X0,X3)))) & ((X1 = nil | ? [X2 : $int,X3 : list] : (X1 = cons(X2,X3) & ~$less(X2,0) & $less(X2,X0) & inRange(X0,X3))) | ~inRange(X0,X1)))),
% 4.10/1.03 inference(nnf_transformation,[],[f8])).
% 4.10/1.03 tff(f24,plain,(
% 4.10/1.03 ! [X0 : $int,X1 : list] : ((inRange(X0,X1) | (nil != X1 & ! [X2 : $int,X3 : list] : (cons(X2,X3) != X1 | $less(X2,0) | ~$less(X2,X0) | ~inRange(X0,X3)))) & (X1 = nil | ? [X2 : $int,X3 : list] : (X1 = cons(X2,X3) & ~$less(X2,0) & $less(X2,X0) & inRange(X0,X3)) | ~inRange(X0,X1)))),
% 4.10/1.03 inference(flattening,[],[f23])).
% 4.10/1.03 tff(f25,plain,(
% 4.10/1.03 ! [X0 : $int,X1 : list] : ((inRange(X0,X1) | (nil != X1 & ! [X2 : $int,X3 : list] : (cons(X2,X3) != X1 | $less(X2,0) | ~$less(X2,X0) | ~inRange(X0,X3)))) & (X1 = nil | ? [X4 : $int,X5 : list] : (cons(X4,X5) = X1 & ~$less(X4,0) & $less(X4,X0) & inRange(X0,X5)) | ~inRange(X0,X1)))),
% 4.10/1.03 inference(rectify,[],[f24])).
% 4.10/1.03 tff(f26,plain,(
% 4.10/1.03 ! [X0 : $int,X1 : list] : ((inRange(X0,X1) | (nil != X1 & ! [X2 : $int,X3 : list] : (cons(X2,X3) != X1 | $less(X2,0) | ~$less(X2,X0) | ~inRange(X0,X3)))) & (X1 = nil | (cons(sK0(X0,X1),sK1(X0,X1)) = X1 & ~$less(sK0(X0,X1),0) & $less(sK0(X0,X1),X0) & inRange(X0,sK1(X0,X1))) | ~inRange(X0,X1)))),
% 4.10/1.03 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X4,sK0(X0,X1)),skolemize(X5,sK1(X0,X1))],[f25])).
% 4.10/1.03 tff(f27,plain,(
% 4.10/1.03 ( ! [X0 : $int,X1 : list] : (head(cons(X0,X1)) = X0) )),
% 4.10/1.03 inference(cnf_transformation,[],[f1])).
% 4.10/1.03 tff(f28,plain,(
% 4.10/1.03 ( ! [X0 : $int,X1 : list] : (tail(cons(X0,X1)) = X1) )),
% 4.10/1.03 inference(cnf_transformation,[],[f2])).
% 4.10/1.03 tff(f30,plain,(
% 4.10/1.03 ( ! [X0 : $int,X1 : list] : (cons(X0,X1) != nil) )),
% 4.10/1.03 inference(cnf_transformation,[],[f4])).
% 4.10/1.03 tff(f31,plain,(
% 4.10/1.03 ( ! [X0 : $int,X1 : list] : (inRange(X0,sK1(X0,X1)) | nil = X1 | ~inRange(X0,X1)) )),
% 4.10/1.03 inference(cnf_transformation,[],[f26])).
% 4.10/1.03 tff(f32,plain,(
% 4.10/1.03 ( ! [X0 : $int,X1 : list] : (~inRange(X0,X1) | $less(sK0(X0,X1),X0) | nil = X1) )),
% 4.10/1.03 inference(cnf_transformation,[],[f26])).
% 4.10/1.03 tff(f34,plain,(
% 4.10/1.03 ( ! [X0 : $int,X1 : list] : (~inRange(X0,X1) | cons(sK0(X0,X1),sK1(X0,X1)) = X1 | nil = X1) )),
% 4.10/1.03 inference(cnf_transformation,[],[f26])).
% 4.10/1.03 tff(f37,plain,(
% 4.10/1.03 ( ! [X0 : $int] : (inRange(X0,cons(1,cons(5,cons(2,nil)))) | $less(X0,4)) )),
% 4.10/1.03 inference(cnf_transformation,[],[f22])).
% 4.10/1.03 tff(f40,definition,(
% 4.10/1.03 sF2 = cons(2,nil)),
% 4.10/1.03 introduced(definition,[new_symbols(definition,[sF2])],[function_definition])).
% 4.10/1.03 tff(f41,plain,(
% 4.10/1.03 cons(2,nil) = sF2),
% 4.10/1.03 inference(reorient_equations,[],[f40])).
% 4.10/1.03 tff(f42,definition,(
% 4.10/1.03 sF3 = cons(5,sF2)),
% 4.10/1.03 introduced(definition,[new_symbols(definition,[sF3])],[function_definition])).
% 4.10/1.03 tff(f43,plain,(
% 4.10/1.03 cons(5,sF2) = sF3),
% 4.10/1.03 inference(reorient_equations,[],[f42])).
% 4.10/1.03 tff(f44,definition,(
% 4.10/1.03 sF4 = cons(1,sF3)),
% 4.10/1.03 introduced(definition,[new_symbols(definition,[sF4])],[function_definition])).
% 4.10/1.03 tff(f45,plain,(
% 4.10/1.03 cons(1,sF3) = sF4),
% 4.10/1.03 inference(reorient_equations,[],[f44])).
% 4.10/1.03 tff(f46,plain,(
% 4.10/1.03 ( ! [X0 : $int] : (inRange(X0,sF4) | $less(X0,4)) )),
% 4.10/1.03 inference(definition_folding,[],[f37,f45,f43,f41])).
% 4.10/1.03 tff(f48,plain,(
% 4.10/1.03 nil != sF3),
% 4.10/1.03 inference(superposition,[],[f30,f43])).
% 4.10/1.03 tff(f49,plain,(
% 4.10/1.03 nil != sF4),
% 4.10/1.03 inference(superposition,[],[f30,f45])).
% 4.10/1.03 tff(f53,plain,(
% 4.10/1.03 5 = head(sF3)),
% 4.10/1.03 inference(superposition,[],[f27,f43])).
% 4.10/1.03 tff(f57,plain,(
% 4.10/1.03 sF3 = tail(sF4)),
% 4.10/1.03 inference(superposition,[],[f28,f45])).
% 4.10/1.03 tff(f212,plain,(
% 4.10/1.03 ( ! [X0 : $int] : (sF4 = cons(sK0(X0,sF4),sK1(X0,sF4)) | nil = sF4 | $less(X0,4)) )),
% 4.10/1.03 inference(resolution,[],[f34,f46])).
% 4.10/1.03 tff(f213,plain,(
% 4.10/1.03 ( ! [X0 : $int] : ($less(X0,4) | sF4 = cons(sK0(X0,sF4),sK1(X0,sF4))) )),
% 4.10/1.03 inference(forward_subsumption_resolution,[],[f212,f49])).
% 4.10/1.03 tff(f215,plain,(
% 4.10/1.03 sF4 = cons(sK0(4,sF4),sK1(4,sF4))),
% 4.10/1.03 inference(resolution,[],[f213,f15])).
% 4.10/1.03 tff(f229,plain,(
% 4.10/1.03 tail(sF4) = sK1(4,sF4)),
% 4.10/1.03 inference(superposition,[],[f28,f215])).
% 4.10/1.03 tff(f233,plain,(
% 4.10/1.03 sF3 = sK1(4,sF4)),
% 4.10/1.03 inference(forward_demodulation,[],[f229,f57])).
% 4.10/1.03 tff(f270,plain,(
% 4.10/1.03 inRange(4,sF3) | nil = sF4 | ~inRange(4,sF4)),
% 4.10/1.03 inference(superposition,[],[f31,f233])).
% 4.10/1.03 tff(f271,plain,(
% 4.10/1.03 ~inRange(4,sF4) | inRange(4,sF3)),
% 4.10/1.03 inference(forward_subsumption_resolution,[],[f270,f49])).
% 4.10/1.03 tff(f297,plain,(
% 4.10/1.03 inRange(4,sF3) | $less(4,4)),
% 4.10/1.03 inference(resolution,[],[f271,f46])).
% 4.10/1.03 tff(f298,plain,(
% 4.10/1.03 inRange(4,sF3)),
% 4.10/1.03 inference(evaluation,[],[f297])).
% 4.10/1.03 tff(f310,plain,(
% 4.10/1.03 sF3 = cons(sK0(4,sF3),sK1(4,sF3)) | nil = sF3),
% 4.10/1.03 inference(resolution,[],[f298,f34])).
% 4.10/1.03 tff(f311,plain,(
% 4.10/1.03 $less(sK0(4,sF3),4) | nil = sF3),
% 4.10/1.03 inference(resolution,[],[f298,f32])).
% 4.10/1.03 tff(f312,plain,(
% 4.10/1.03 $less(sK0(4,sF3),4)),
% 4.10/1.03 inference(forward_subsumption_resolution,[],[f311,f48])).
% 4.10/1.03 tff(f313,plain,(
% 4.10/1.03 sF3 = cons(sK0(4,sF3),sK1(4,sF3))),
% 4.10/1.03 inference(forward_subsumption_resolution,[],[f310,f48])).
% 4.10/1.03 tff(f476,plain,(
% 4.10/1.03 head(sF3) = sK0(4,sF3)),
% 4.10/1.03 inference(superposition,[],[f27,f313])).
% 4.10/1.03 tff(f478,plain,(
% 4.10/1.03 5 = sK0(4,sF3)),
% 4.10/1.03 inference(forward_demodulation,[],[f476,f53])).
% 4.10/1.03 tff(f563,plain,(
% 4.10/1.03 $less(5,4)),
% 4.10/1.03 inference(superposition,[],[f312,f478])).
% 4.10/1.03 tff(f565,plain,(
% 4.10/1.03 $false),
% 4.10/1.03 inference(evaluation,[],[f563])).
% 4.10/1.03 % SZS output end Proof for theBenchmark
% 4.10/1.03 % (3914965)------------------------------
% 4.10/1.03 % (3914965)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.10/1.03 % (3914965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.03 % (3914965)CaDiCaL version: 2.1.3
% 4.10/1.03 % (3914965)Termination reason: Refutation
% 4.10/1.03 % (3914965)Time elapsed: 0.016 s
% 4.10/1.03 % (3914965)Peak memory usage: 11 MB
% 4.10/1.03 % (3914965)Instructions burned: 22 (million)
% 4.10/1.03 % (3914758)Success in time 0.764 s
% 4.10/1.03 % Vampire exiting
%------------------------------------------------------------------------------