%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI734_1 : TPTP v9.3.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n016.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 09:35:09 AM UTC 2026
% Result : Theorem 29.37s 4.46s
% Output : Refutation 29.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI734_1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 % Computer : n016.cluster.edu
% 0.09/0.22 % Model : x86_64 x86_64
% 0.09/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.22 % Memory : 8046.5625MB
% 0.09/0.22 % OS : Linux 6.8.0-71-generic
% 0.09/0.22 % CPULimit : 300
% 0.09/0.22 % WCLimit : 300
% 0.09/0.22 % DateTime : Mon Sep 28 21:06:34 UTC 2026
% 0.09/0.22 % CPUTime :
% 0.09/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.25/0.27 Running first-order model finding
% 0.25/0.27 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
% 7.34/1.34 % (4005783)Will run a generic schedule for satisfiability detection.
% 7.34/1.34 % (4005794)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1456716317:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 7.34/1.34 % (4005790)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=706764983:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 7.34/1.34 % (4005789)% WARNING: option uhcvi not known.
% 7.34/1.34 % (4005788)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3620825682_3000 on theBenchmark for (3000ds/0Mi)
% 7.34/1.34 % (4005789)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=286698238:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 7.34/1.34 % (4005792)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1424565651:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 7.34/1.34 % (4005791)dis+10_1_sil=32000:sp=arity:random_seed=3878553416:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 7.34/1.34 % (4005788)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 7.34/1.34 % (4005788)Terminated due to inappropriate strategy.
% 7.34/1.34 % (4005788)------------------------------
% 7.34/1.34 % (4005788)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.34/1.34 % (4005788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.34/1.34 % (4005788)CaDiCaL version: 2.1.3
% 7.34/1.34 % (4005788)Termination reason: Inappropriate
% 7.34/1.34 % (4005788)Time elapsed: 0.001 s
% 7.34/1.34 % (4005788)Peak memory usage: 10 MB
% 7.34/1.34 % (4005793)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=963061793:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 7.34/1.34 % (4005788)------------------------------
% 7.34/1.34 % (4005788)------------------------------
% 7.34/1.34 % (4005803)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3829599270:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 7.34/1.34 % (4005803)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 7.34/1.34 % (4005803)Terminated due to inappropriate strategy.
% 7.34/1.34 % (4005803)------------------------------
% 7.34/1.34 % (4005803)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.34/1.34 % (4005803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.34/1.34 % (4005803)CaDiCaL version: 2.1.3
% 7.34/1.34 % (4005803)Termination reason: Inappropriate
% 7.34/1.34 % (4005803)Time elapsed: 0.001 s
% 7.34/1.34 % (4005803)Peak memory usage: 10 MB
% 7.34/1.34 % (4005803)------------------------------
% 7.34/1.34 % (4005803)------------------------------
% 7.34/1.34 % (4005806)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3232168171:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 7.34/1.34 % (4005794)Instruction limit reached!
% 7.34/1.34 % (4005794)------------------------------
% 7.34/1.34 % (4005794)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.34/1.34 % (4005794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.34/1.34 % (4005794)CaDiCaL version: 2.1.3
% 7.34/1.34 % (4005794)Termination reason: Instruction limit
% 7.34/1.34 % (4005794)Termination phase: Saturation
% 7.34/1.34 % (4005794)Time elapsed: 0.089 s
% 7.34/1.34 % (4005794)Peak memory usage: 13 MB
% 7.34/1.34 % (4005794)Instructions burned: 160 (million)
% 7.34/1.34 % (4005808)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=4089726089:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 7.34/1.34 % (4005791)Instruction limit reached!
% 7.34/1.34 % (4005791)------------------------------
% 7.34/1.34 % (4005791)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.34/1.34 % (4005791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.34/1.34 % (4005791)CaDiCaL version: 2.1.3
% 7.34/1.34 % (4005791)Termination reason: Instruction limit
% 7.34/1.34 % (4005791)Termination phase: Saturation
% 7.34/1.34 % (4005791)Time elapsed: 0.105 s
% 7.34/1.34 % (4005791)Peak memory usage: 12 MB
% 7.34/1.34 % (4005791)Instructions burned: 103 (million)
% 7.34/1.34 % (4005792)Instruction limit reached!
% 7.34/1.34 % (4005792)------------------------------
% 7.34/1.34 % (4005792)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.34/1.34 % (4005792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.76/2.22 % (4005792)CaDiCaL version: 2.1.3
% 13.76/2.22 % (4005792)Termination reason: Instruction limit
% 13.76/2.22 % (4005792)Termination phase: Saturation
% 13.76/2.22 % (4005792)Time elapsed: 0.113 s
% 13.76/2.22 % (4005792)Peak memory usage: 12 MB
% 13.76/2.22 % (4005792)Instructions burned: 117 (million)
% 13.76/2.22 % (4005810)ott-21_1_sil=16000:fs=off:random_seed=38061921:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 13.76/2.22 % (4005793)Instruction limit reached!
% 13.76/2.22 % (4005793)------------------------------
% 13.76/2.22 % (4005793)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.76/2.22 % (4005793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.76/2.22 % (4005793)CaDiCaL version: 2.1.3
% 13.76/2.22 % (4005793)Termination reason: Instruction limit
% 13.76/2.22 % (4005793)Termination phase: Saturation
% 13.76/2.22 % (4005793)Time elapsed: 0.136 s
% 13.76/2.22 % (4005793)Peak memory usage: 13 MB
% 13.76/2.22 % (4005793)Instructions burned: 131 (million)
% 13.76/2.22 % (4005811)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4202088989:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 13.76/2.22 % (4005814)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=4195783700:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 13.76/2.22 % (4005814)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 13.76/2.22 % (4005814)Terminated due to inappropriate strategy.
% 13.76/2.22 % (4005814)------------------------------
% 13.76/2.22 % (4005814)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.76/2.22 % (4005814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.76/2.22 % (4005814)CaDiCaL version: 2.1.3
% 13.76/2.22 % (4005814)Termination reason: Inappropriate
% 13.76/2.22 % (4005814)Time elapsed: 0.001 s
% 13.76/2.22 % (4005814)Peak memory usage: 10 MB
% 13.76/2.22 % (4005814)------------------------------
% 13.76/2.22 % (4005814)------------------------------
% 13.76/2.22 % (4005820)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2970665105:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 13.76/2.22 % (4005806)Instruction limit reached!
% 13.76/2.22 % (4005806)------------------------------
% 13.76/2.22 % (4005806)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.76/2.22 % (4005806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.76/2.22 % (4005806)CaDiCaL version: 2.1.3
% 13.76/2.22 % (4005806)Termination reason: Instruction limit
% 13.76/2.22 % (4005806)Termination phase: Saturation
% 13.76/2.22 % (4005806)Time elapsed: 0.149 s
% 13.76/2.22 % (4005806)Peak memory usage: 13 MB
% 13.76/2.22 % (4005806)Instructions burned: 132 (million)
% 13.76/2.22 % (4005822)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2948737726:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 13.76/2.22 % (4005822)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 13.76/2.22 % (4005822)Terminated due to inappropriate strategy.
% 13.76/2.22 % (4005822)------------------------------
% 13.76/2.22 % (4005822)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.76/2.22 % (4005822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.76/2.22 % (4005822)CaDiCaL version: 2.1.3
% 13.76/2.22 % (4005822)Termination reason: Inappropriate
% 13.76/2.22 % (4005822)Time elapsed: 0.001 s
% 13.76/2.22 % (4005822)Peak memory usage: 10 MB
% 13.76/2.22 % (4005822)Instructions burned: 1 (million)
% 13.76/2.22 % (4005822)------------------------------
% 13.76/2.22 % (4005822)------------------------------
% 13.76/2.22 % (4005810)Instruction limit reached!
% 13.76/2.22 % (4005810)------------------------------
% 13.76/2.22 % (4005810)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.76/2.22 % (4005810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.76/2.22 % (4005810)CaDiCaL version: 2.1.3
% 13.76/2.22 % (4005810)Termination reason: Instruction limit
% 13.76/2.22 % (4005810)Termination phase: Saturation
% 13.76/2.22 % (4005810)Time elapsed: 0.143 s
% 13.76/2.22 % (4005810)Peak memory usage: 12 MB
% 13.76/2.22 % (4005810)Instructions burned: 181 (million)
% 13.76/2.22 % (4005826)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=573205072:i=879:kws=inv_precedence:fsr=off_2996 on theBenchmark for (2996ds/879Mi)
% 13.76/2.22 % (4005825)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=1097036320:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 29.37/4.45 % (4005808)Instruction limit reached!
% 29.37/4.45 % (4005808)------------------------------
% 29.37/4.45 % (4005808)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.37/4.45 % (4005808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.37/4.45 % (4005808)CaDiCaL version: 2.1.3
% 29.37/4.45 % (4005808)Termination reason: Instruction limit
% 29.37/4.45 % (4005808)Termination phase: Saturation
% 29.37/4.45 % (4005808)Time elapsed: 0.370 s
% 29.37/4.45 % (4005808)Peak memory usage: 17 MB
% 29.37/4.45 % (4005808)Instructions burned: 685 (million)
% 29.37/4.45 % (4005830)fmb+10_1_sil=64000:random_seed=2323514013:i=22061:nm=2:gsp=on_2995 on theBenchmark for (2995ds/22061Mi)
% 29.37/4.45 % (4005830)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 29.37/4.45 % (4005830)Terminated due to inappropriate strategy.
% 29.37/4.45 % (4005830)------------------------------
% 29.37/4.45 % (4005830)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.37/4.45 % (4005830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.37/4.45 % (4005830)CaDiCaL version: 2.1.3
% 29.37/4.45 % (4005830)Termination reason: Inappropriate
% 29.37/4.45 % (4005830)Time elapsed: 0.001 s
% 29.37/4.45 % (4005830)Peak memory usage: 11 MB
% 29.37/4.45 % (4005830)------------------------------
% 29.37/4.45 % (4005830)------------------------------
% 29.37/4.45 % (4005832)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1111601534:i=9515:nm=5_2994 on theBenchmark for (2994ds/9515Mi)
% 29.37/4.45 % (4005832)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 29.37/4.45 % (4005832)Terminated due to inappropriate strategy.
% 29.37/4.45 % (4005832)------------------------------
% 29.37/4.45 % (4005832)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.37/4.45 % (4005832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.37/4.45 % (4005832)CaDiCaL version: 2.1.3
% 29.37/4.45 % (4005832)Termination reason: Inappropriate
% 29.37/4.45 % (4005832)Time elapsed: 0.001 s
% 29.37/4.45 % (4005832)Peak memory usage: 10 MB
% 29.37/4.45 % (4005832)------------------------------
% 29.37/4.45 % (4005832)------------------------------
% 29.37/4.45 % (4005834)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2454448197:fmbsr=1.7:i=920_2994 on theBenchmark for (2994ds/920Mi)
% 29.37/4.45 % (4005834)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 29.37/4.45 % (4005834)Terminated due to inappropriate strategy.
% 29.37/4.45 % (4005834)------------------------------
% 29.37/4.45 % (4005834)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.37/4.45 % (4005834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.37/4.45 % (4005834)CaDiCaL version: 2.1.3
% 29.37/4.45 % (4005834)Termination reason: Inappropriate
% 29.37/4.45 % (4005834)Time elapsed: 0.001 s
% 29.37/4.45 % (4005834)Peak memory usage: 10 MB
% 29.37/4.45 % (4005834)------------------------------
% 29.37/4.45 % (4005834)------------------------------
% 29.37/4.45 % (4005836)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3731552324:i=5131_2994 on theBenchmark for (2994ds/5131Mi)
% 29.37/4.45 % (4005811)Instruction limit reached!
% 29.37/4.45 % (4005811)------------------------------
% 29.37/4.45 % (4005811)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.37/4.45 % (4005811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.37/4.45 % (4005811)CaDiCaL version: 2.1.3
% 29.37/4.45 % (4005811)Termination reason: Instruction limit
% 29.37/4.45 % (4005811)Termination phase: Saturation
% 29.37/4.45 % (4005811)Time elapsed: 0.509 s
% 29.37/4.45 % (4005811)Peak memory usage: 14 MB
% 29.37/4.45 % (4005811)Instructions burned: 477 (million)
% 29.37/4.45 % (4005838)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=4209177895:i=1472:ins=7:fdi=8:gsp=on_2993 on theBenchmark for (2993ds/1472Mi)
% 29.37/4.45 % (4005825)Instruction limit reached!
% 29.37/4.45 % (4005825)------------------------------
% 29.37/4.45 % (4005825)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.37/4.45 % (4005825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.37/4.45 % (4005825)CaDiCaL version: 2.1.3
% 29.37/4.45 % (4005825)Termination reason: Instruction limit
% 29.37/4.45 % (4005825)Termination phase: Saturation
% 29.37/4.45 % (4005825)Time elapsed: 0.730 s
% 29.37/4.45 % (4005825)Peak memory usage: 19 MB
% 29.37/4.45 % (4005825)Instructions burned: 693 (million)
% 29.37/4.45 % (4005842)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1067356723:i=6324_2989 on theBenchmark for (2989ds/6324Mi)
% 29.37/4.45 % (4005842)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 29.37/4.45 % (4005842)Terminated due to inappropriate strategy.
% 29.37/4.45 % (4005842)------------------------------
% 29.37/4.45 % (4005842)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.37/4.45 % (4005842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.37/4.45 % (4005842)CaDiCaL version: 2.1.3
% 29.37/4.45 % (4005842)Termination reason: Inappropriate
% 29.37/4.45 % (4005842)Time elapsed: 0.001 s
% 29.37/4.45 % (4005842)Peak memory usage: 10 MB
% 29.37/4.45 % (4005842)------------------------------
% 29.37/4.45 % (4005842)------------------------------
% 29.37/4.45 % (4005844)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2376057471:fmbsr=2.30978:i=2174_2989 on theBenchmark for (2989ds/2174Mi)
% 29.37/4.45 % (4005844)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 29.37/4.45 % (4005844)Terminated due to inappropriate strategy.
% 29.37/4.45 % (4005844)------------------------------
% 29.37/4.45 % (4005844)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.37/4.45 % (4005844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.37/4.45 % (4005844)CaDiCaL version: 2.1.3
% 29.37/4.45 % (4005844)Termination reason: Inappropriate
% 29.37/4.45 % (4005844)Time elapsed: 0.001 s
% 29.37/4.45 % (4005844)Peak memory usage: 10 MB
% 29.37/4.45 % (4005844)------------------------------
% 29.37/4.45 % (4005844)------------------------------
% 29.37/4.45 % (4005826)Instruction limit reached!
% 29.37/4.45 % (4005826)------------------------------
% 29.37/4.45 % (4005826)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.37/4.45 % (4005826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.37/4.45 % (4005826)CaDiCaL version: 2.1.3
% 29.37/4.45 % (4005826)Termination reason: Instruction limit
% 29.37/4.45 % (4005826)Termination phase: Saturation
% 29.37/4.45 % (4005826)Time elapsed: 0.825 s
% 29.37/4.45 % (4005826)Peak memory usage: 19 MB
% 29.37/4.45 % (4005826)Instructions burned: 879 (million)
% 29.37/4.45 % (4005846)ott-2_1_sil=16000:newcnf=on:random_seed=3990789133:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2988 on theBenchmark for (2988ds/869Mi)
% 29.37/4.45 % (4005848)ott+10_1_sil=32000:tgt=ground:random_seed=3025166424:i=5114:av=off_2988 on theBenchmark for (2988ds/5114Mi)
% 29.37/4.45 % (4005820)Instruction limit reached!
% 29.37/4.45 % (4005820)------------------------------
% 29.37/4.45 % (4005820)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.37/4.45 % (4005820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.37/4.45 % (4005820)CaDiCaL version: 2.1.3
% 29.37/4.45 % (4005820)Termination reason: Instruction limit
% 29.37/4.45 % (4005820)Termination phase: Saturation
% 29.37/4.45 % (4005820)Time elapsed: 0.963 s
% 29.37/4.45 % (4005820)Peak memory usage: 15 MB
% 29.37/4.45 % (4005820)Instructions burned: 1180 (million)
% 29.37/4.45 % (4005850)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2917019953:i=54282_2987 on theBenchmark for (2987ds/54282Mi)
% 29.37/4.46 % (4005850)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 29.37/4.46 % (4005850)Terminated due to inappropriate strategy.
% 29.37/4.46 % (4005850)------------------------------
% 29.37/4.46 % (4005850)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.37/4.46 % (4005850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.37/4.46 % (4005850)CaDiCaL version: 2.1.3
% 29.37/4.46 % (4005850)Termination reason: Inappropriate
% 29.37/4.46 % (4005850)Time elapsed: 0.001 s
% 29.37/4.46 % (4005850)Peak memory usage: 10 MB
% 29.37/4.46 % (4005850)------------------------------
% 29.37/4.46 % (4005850)------------------------------
% 29.37/4.46 % (4005852)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1324591660:i=3512:aac=none_2987 on theBenchmark for (2987ds/3512Mi)
% 29.37/4.46 % (4005846)Instruction limit reached!
% 29.37/4.46 % (4005846)------------------------------
% 29.37/4.46 % (4005846)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.37/4.46 % (4005846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.37/4.46 % (4005846)CaDiCaL version: 2.1.3
% 29.37/4.46 % (4005846)Termination reason: Instruction limit
% 29.37/4.46 % (4005846)Termination phase: Saturation
% 29.37/4.46 % (4005846)Time elapsed: 0.789 s
% 29.37/4.46 % (4005846)Peak memory usage: 15 MB
% 29.37/4.46 % (4005846)Instructions burned: 870 (million)
% 29.37/4.46 % (4005858)dis+21_1_sil=32000:sas=cadical:random_seed=1667530954:i=3773:amm=off_2980 on theBenchmark for (2980ds/3773Mi)
% 29.37/4.46 % (4005838)Instruction limit reached!
% 29.37/4.46 % (4005838)------------------------------
% 29.37/4.46 % (4005838)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.37/4.46 % (4005838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.37/4.46 % (4005838)CaDiCaL version: 2.1.3
% 29.37/4.46 % (4005838)Termination reason: Instruction limit
% 29.37/4.46 % (4005838)Termination phase: Saturation
% 29.37/4.46 % (4005838)Time elapsed: 1.322 s
% 29.37/4.46 % (4005838)Peak memory usage: 23 MB
% 29.37/4.46 % (4005838)Instructions burned: 1472 (million)
% 29.37/4.46 % (4005860)ott+11_1_sil=16000:gs=on:random_seed=1188124351:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2979 on theBenchmark for (2979ds/2251Mi)
% 29.37/4.46 % (4005836)Instruction limit reached!
% 29.37/4.46 % (4005836)------------------------------
% 29.37/4.46 % (4005836)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.37/4.46 % (4005836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.37/4.46 % (4005836)CaDiCaL version: 2.1.3
% 29.37/4.46 % (4005836)Termination reason: Instruction limit
% 29.37/4.46 % (4005836)Termination phase: Saturation
% 29.37/4.46 % (4005836)Time elapsed: 2.529 s
% 29.37/4.46 % (4005836)Peak memory usage: 41 MB
% 29.37/4.46 % (4005836)Instructions burned: 5136 (million)
% 29.37/4.46 % (4005862)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=3024507366:fmbsr=1.6:i=67534_2968 on theBenchmark for (2968ds/67534Mi)
% 29.37/4.46 % (4005862)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 29.37/4.46 % (4005862)Terminated due to inappropriate strategy.
% 29.37/4.46 % (4005862)------------------------------
% 29.37/4.46 % (4005862)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.37/4.46 % (4005862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.37/4.46 % (4005862)CaDiCaL version: 2.1.3
% 29.37/4.46 % (4005862)Termination reason: Inappropriate
% 29.37/4.46 % (4005862)Time elapsed: 0.001 s
% 29.37/4.46 % (4005862)Peak memory usage: 10 MB
% 29.37/4.46 % (4005862)Instructions burned: 1 (million)
% 29.37/4.46 % (4005862)------------------------------
% 29.37/4.46 % (4005862)------------------------------
% 29.37/4.46 % (4005864)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=845659803:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2968 on theBenchmark for (2968ds/4591Mi)
% 29.37/4.46 % (4005789) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4005783-4005789"...
% 29.37/4.46 % (4005789)...printing done.
% 29.37/4.46 % (4005789)Refutation found. Thanks to Tanya!
% 29.37/4.46 % SZS status Theorem for theBenchmark
% 29.37/4.46 % SZS output start Proof for theBenchmark
% 29.37/4.46 tff(func_def_7, type, sK0: $int).
% 29.37/4.46 tff(f1,conjecture,(
% 29.37/4.46 ! [X0 : $int] : ($greatereq(X0,0) => ? [X1 : $int] : (? [X2 : $int] : (? [X3 : $int] : (X3 = $difference(X0,1) & X2 = $product(2,X3)) & (X0 = 0 => X1 = 0) & (X0 != 0 => X1 = $sum(X2,2))) & X1 = $product(2,X0)))),
% 29.37/4.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula)).
% 29.37/4.46 tff(f2,negated_conjecture,(
% 29.37/4.46 ~ ! [X0 : $int] : ($greatereq(X0,0) => ? [X1 : $int] : (? [X2 : $int] : (? [X3 : $int] : (X3 = $difference(X0,1) & X2 = $product(2,X3)) & (X0 = 0 => X1 = 0) & (X0 != 0 => X1 = $sum(X2,2))) & X1 = $product(2,X0)))),
% 29.37/4.46 inference(negated_conjecture,[status(cth)],[f1])).
% 29.37/4.46 tff(f3,plain,(
% 29.37/4.46 ~ ! [X0 : $int] : (~$less(X0,0) => ? [X1 : $int] : (? [X2 : $int] : (? [X3 : $int] : ($sum(X0,$uminus(1)) = X3 & X2 = $product(2,X3)) & (X0 = 0 => X1 = 0) & (X0 != 0 => X1 = $sum(X2,2))) & X1 = $product(2,X0)))),
% 29.37/4.46 inference(theory_normalization,[],[f2])).
% 29.37/4.46 tff(f5,definition,(
% 29.37/4.46 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 29.37/4.46 introduced(theory,[tha_associativity])).
% 29.37/4.46 tff(f17,definition,(
% 29.37/4.46 ( ! [X0 : $int] : ($product(X0,1) = X0) )),
% 29.37/4.46 introduced(theory,[tha_right_identity])).
% 29.37/4.46 tff(f19,definition,(
% 29.37/4.46 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2))) )),
% 29.37/4.46 introduced(theory,[tha_distributivity])).
% 29.37/4.46 tff(f22,plain,(
% 29.37/4.46 ? [X0 : $int] : (! [X1 : $int] : (! [X2 : $int] : (! [X3 : $int] : ($sum(X0,$uminus(1)) != X3 | $product(2,X3) != X2) | (0 != X1 & X0 = 0) | ($sum(X2,2) != X1 & X0 != 0)) | $product(2,X0) != X1) & ~$less(X0,0))),
% 29.37/4.46 inference(ennf_transformation,[],[f3])).
% 29.37/4.46 tff(f24,plain,(
% 29.37/4.46 ( ! [X2 : $int,X3 : $int,X1 : $int] : ($product(2,sK0) != X1 | $sum(X2,2) != X1 | 0 != X1 | $product(2,X3) != X2 | $sum(sK0,$uminus(1)) != X3) )),
% 29.37/4.46 inference(cnf_transformation,[],[f22])).
% 29.37/4.46 tff(f25,plain,(
% 29.37/4.46 ( ! [X2 : $int,X3 : $int,X1 : $int] : ($product(2,sK0) != X1 | $sum(X2,2) != X1 | 0 = sK0 | $product(2,X3) != X2 | $sum(sK0,$uminus(1)) != X3) )),
% 29.37/4.46 inference(cnf_transformation,[],[f22])).
% 29.37/4.46 tff(f28,plain,(
% 29.37/4.46 ( ! [X2 : $int,X3 : $int] : ($sum(X2,2) != $product(2,sK0) | 0 = sK0 | $product(2,X3) != X2 | $sum(sK0,$uminus(1)) != X3) )),
% 29.37/4.46 inference(equality_resolution,[],[f25])).
% 29.37/4.46 tff(f29,plain,(
% 29.37/4.46 ( ! [X3 : $int] : ($product(2,sK0) != $sum($product(2,X3),2) | 0 = sK0 | $sum(sK0,$uminus(1)) != X3) )),
% 29.37/4.46 inference(equality_resolution,[],[f28])).
% 29.37/4.46 tff(f30,plain,(
% 29.37/4.46 $product(2,sK0) != $sum($product(2,$sum(sK0,$uminus(1))),2) | 0 = sK0),
% 29.37/4.46 inference(equality_resolution,[],[f29])).
% 29.37/4.46 tff(f31,plain,(
% 29.37/4.46 ( ! [X2 : $int,X3 : $int] : ($sum(X2,2) != $product(2,sK0) | 0 != $product(2,sK0) | $product(2,X3) != X2 | $sum(sK0,$uminus(1)) != X3) )),
% 29.37/4.46 inference(equality_resolution,[],[f24])).
% 29.37/4.46 tff(f32,plain,(
% 29.37/4.46 ( ! [X3 : $int] : ($product(2,sK0) != $sum($product(2,X3),2) | 0 != $product(2,sK0) | $sum(sK0,$uminus(1)) != X3) )),
% 29.37/4.46 inference(equality_resolution,[],[f31])).
% 29.37/4.46 tff(f33,plain,(
% 29.37/4.46 $product(2,sK0) != $sum($product(2,$sum(sK0,$uminus(1))),2) | 0 != $product(2,sK0)),
% 29.37/4.46 inference(equality_resolution,[],[f32])).
% 29.37/4.46 tff(f37,plain,(
% 29.37/4.46 $product(2,sK0) != $sum($product(2,$sum(sK0,-1)),2) | 0 != $product(2,sK0)),
% 29.37/4.46 inference(evaluation,[],[f33])).
% 29.37/4.46 tff(f38,plain,(
% 29.37/4.46 $product(2,sK0) != $sum($product(2,$sum(sK0,-1)),2) | 0 = sK0),
% 29.37/4.46 inference(evaluation,[],[f30])).
% 29.37/4.46 tff(f40,definition,(
% 29.37/4.46 spl1_1 <=> 0 = $product(2,sK0)),
% 29.37/4.46 introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition])).
% 29.37/4.46 tff(f42,plain,(
% 29.37/4.46 0 != $product(2,sK0) | spl1_1),
% 29.37/4.46 inference(avatar_component_clause,[],[f40])).
% 29.37/4.46 tff(f44,definition,(
% 29.37/4.46 spl1_2 <=> 0 = sK0),
% 29.37/4.46 introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition])).
% 29.37/4.46 tff(f45,plain,(
% 29.37/4.46 0 = sK0 | ~spl1_2),
% 29.37/4.46 inference(avatar_component_clause,[],[f44])).
% 29.37/4.46 tff(f49,definition,(
% 29.37/4.46 spl1_3 <=> $product(2,sK0) = $sum($product(2,$sum(sK0,-1)),2)),
% 29.37/4.46 introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition])).
% 29.37/4.46 tff(f51,plain,(
% 29.37/4.46 $product(2,sK0) != $sum($product(2,$sum(sK0,-1)),2) | spl1_3),
% 29.37/4.46 inference(avatar_component_clause,[],[f49])).
% 29.37/4.46 tff(f52,plain,(
% 29.37/4.46 ~spl1_1 | ~spl1_3),
% 29.37/4.46 inference(avatar_split_clause,[],[f37,f49,f40])).
% 29.37/4.46 tff(f53,plain,(
% 29.37/4.46 spl1_2 | ~spl1_3),
% 29.37/4.46 inference(avatar_split_clause,[],[f38,f49,f44])).
% 29.37/4.46 tff(f168,plain,(
% 29.37/4.46 ( ! [X0 : $int,X1 : $int] : ($product(X0,$sum(X1,1)) = $sum($product(X0,X1),X0)) )),
% 29.37/4.46 inference(superposition,[],[f19,f17])).
% 29.37/4.46 tff(f175,plain,(
% 29.37/4.46 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int] : ($sum($product(X0,X1),$sum($product(X0,X2),X3)) = $sum($product(X0,$sum(X1,X2)),X3)) )),
% 29.37/4.46 inference(superposition,[],[f5,f19])).
% 29.37/4.46 tff(f250,plain,(
% 29.37/4.46 0 != $product(2,0) | (spl1_1 | ~spl1_2)),
% 29.37/4.46 inference(superposition,[],[f42,f45])).
% 29.37/4.46 tff(f260,plain,(
% 29.37/4.46 $false | (spl1_1 | ~spl1_2)),
% 29.37/4.46 inference(evaluation,[],[f250])).
% 29.37/4.46 tff(f261,plain,(
% 29.37/4.46 spl1_1 | ~spl1_2),
% 29.37/4.46 inference(avatar_contradiction_clause,[],[f260])).
% 29.37/4.46 tff(f1533,plain,(
% 29.37/4.46 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum($product(X0,$sum(X2,X1)),X0) = $sum($product(X0,X2),$product(X0,$sum(X1,1)))) )),
% 29.37/4.46 inference(superposition,[],[f175,f168])).
% 29.37/4.46 tff(f1582,plain,(
% 29.37/4.46 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum($product(X0,$sum(X2,X1)),X0) = $product(X0,$sum(X2,$sum(X1,1)))) )),
% 29.37/4.46 inference(forward_demodulation,[],[f1533,f19])).
% 29.37/4.46 tff(f78600,plain,(
% 29.37/4.46 $product(2,sK0) != $product(2,$sum(sK0,$sum(-1,1))) | spl1_3),
% 29.37/4.46 inference(superposition,[],[f51,f1582])).
% 29.37/4.46 tff(f78893,plain,(
% 29.37/4.46 $false | spl1_3),
% 29.37/4.46 inference(evaluation,[],[f78600])).
% 29.37/4.46 tff(f78894,plain,(
% 29.37/4.46 spl1_3),
% 29.37/4.46 inference(avatar_contradiction_clause,[],[f78893])).
% 29.37/4.46 cnf(s2, plain, ~spl1_1 | ~spl1_3, inference(sat_conversion,[],[f52])).
% 29.37/4.46 cnf(s3, plain, spl1_2 | ~spl1_3, inference(sat_conversion,[],[f53])).
% 29.37/4.46 cnf(s11, plain, spl1_1 | ~spl1_2, inference(sat_conversion,[],[f261])).
% 29.37/4.46 cnf(s275, plain, spl1_3, inference(sat_conversion,[],[f78894])).
% 29.37/4.46 cnf(s276, plain, spl1_2, inference(rat,[],[s3,s275])).
% 29.37/4.46 cnf(s277, plain, spl1_1, inference(rat,[],[s11,s276])).
% 29.37/4.46 cnf(s278, plain, $false, inference(rat,[],[s2,s275,s277])).
% 29.37/4.46 tff(f79347,plain,(
% 29.37/4.46 $false),
% 29.37/4.46 inference(avatar_sat_refutation,[],[s278])).
% 29.37/4.46 % SZS output end Proof for theBenchmark
% 29.37/4.46 % (4005789)------------------------------
% 29.37/4.46 % (4005789)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.37/4.46 % (4005789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.37/4.46 % (4005789)CaDiCaL version: 2.1.3
% 29.37/4.46 % (4005789)Termination reason: Refutation
% 29.37/4.46 % (4005789)Time elapsed: 4.123 s
% 29.37/4.46 % (4005789)Peak memory usage: 40 MB
% 29.37/4.46 % (4005789)Instructions burned: 4441 (million)
% 29.37/4.46 % (4005783)Success in time 4.173 s
% 29.37/4.46 % Vampire exiting
%------------------------------------------------------------------------------