%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI105_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 : n014.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 09:34:03 AM UTC 2026
% Result : Theorem 18.44s 2.80s
% Output : Refutation 18.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ARI105_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.16 % Computer : n014.cluster.edu
% 0.10/0.16 % Model : x86_64 x86_64
% 0.10/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.16 % Memory : 8046.5625MB
% 0.10/0.16 % OS : Linux 6.8.0-71-generic
% 0.10/0.16 % CPULimit : 300
% 0.10/0.16 % WCLimit : 300
% 0.10/0.16 % DateTime : Mon Sep 28 20:42:45 UTC 2026
% 0.10/0.17 % CPUTime :
% 0.10/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.19 Running first-order model finding
% 0.10/0.19 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.41/0.80 % (2150157)Will run a generic schedule for satisfiability detection.
% 3.41/0.80 % (2150173)dis+10_1_sil=32000:sp=arity:random_seed=803403187:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 3.41/0.80 % (2150171)% WARNING: option uhcvi not known.
% 3.41/0.80 % (2150170)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3516287018_2999 on theBenchmark for (2999ds/0Mi)
% 3.41/0.80 % (2150174)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=664698003:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 3.41/0.80 % (2150172)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3488490242:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 3.41/0.80 % (2150175)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3848462399:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 3.41/0.80 % (2150170)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 3.41/0.80 % (2150170)Terminated due to inappropriate strategy.
% 3.41/0.80 % (2150170)------------------------------
% 3.41/0.80 % (2150170)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.41/0.80 % (2150176)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3393088679:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 3.41/0.80 % (2150170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.41/0.80 % (2150170)CaDiCaL version: 2.1.3
% 3.41/0.80 % (2150170)Termination reason: Inappropriate
% 3.41/0.80 % (2150170)Time elapsed: 0.0000 s
% 3.41/0.80 % (2150170)Peak memory usage: 10 MB
% 3.41/0.80 % (2150171)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2009415486:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 3.41/0.80 % (2150170)------------------------------
% 3.41/0.80 % (2150170)------------------------------
% 3.41/0.80 % (2150194)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2828185333:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 3.41/0.80 % (2150194)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 3.41/0.80 % (2150194)Terminated due to inappropriate strategy.
% 3.41/0.80 % (2150194)------------------------------
% 3.41/0.80 % (2150194)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.41/0.80 % (2150194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.41/0.80 % (2150194)CaDiCaL version: 2.1.3
% 3.41/0.80 % (2150194)Termination reason: Inappropriate
% 3.41/0.80 % (2150194)Time elapsed: 0.0000 s
% 3.41/0.80 % (2150194)Peak memory usage: 10 MB
% 3.41/0.80 % (2150194)------------------------------
% 3.41/0.80 % (2150194)------------------------------
% 3.41/0.80 % (2150173)Instruction limit reached!
% 3.41/0.80 % (2150173)------------------------------
% 3.41/0.80 % (2150173)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.41/0.80 % (2150173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.41/0.80 % (2150173)CaDiCaL version: 2.1.3
% 3.41/0.80 % (2150173)Termination reason: Instruction limit
% 3.41/0.80 % (2150173)Termination phase: Saturation
% 3.41/0.80 % (2150173)Time elapsed: 0.033 s
% 3.41/0.80 % (2150173)Peak memory usage: 12 MB
% 3.41/0.80 % (2150173)Instructions burned: 104 (million)
% 3.41/0.80 % (2150203)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=3268460588:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 3.41/0.80 % (2150202)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1101066460:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 3.41/0.80 % (2150174)Instruction limit reached!
% 3.41/0.80 % (2150174)------------------------------
% 3.41/0.80 % (2150174)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.41/0.80 % (2150174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.41/0.80 % (2150174)CaDiCaL version: 2.1.3
% 3.41/0.80 % (2150174)Termination reason: Instruction limit
% 3.41/0.80 % (2150174)Termination phase: Saturation
% 3.41/0.80 % (2150174)Time elapsed: 0.072 s
% 3.41/0.80 % (2150174)Peak memory usage: 12 MB
% 3.41/0.80 % (2150174)Instructions burned: 117 (million)
% 3.41/0.80 % (2150175)Instruction limit reached!
% 3.41/0.80 % (2150175)------------------------------
% 3.41/0.80 % (2150175)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.41/0.80 % (2150175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.91/1.29 % (2150175)CaDiCaL version: 2.1.3
% 6.91/1.29 % (2150175)Termination reason: Instruction limit
% 6.91/1.29 % (2150175)Termination phase: Saturation
% 6.91/1.29 % (2150175)Time elapsed: 0.079 s
% 6.91/1.29 % (2150175)Peak memory usage: 13 MB
% 6.91/1.29 % (2150175)Instructions burned: 131 (million)
% 6.91/1.29 % (2150215)ott-21_1_sil=16000:fs=off:random_seed=1651570458:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 6.91/1.29 % (2150217)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2758812162:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 6.91/1.29 % (2150176)Instruction limit reached!
% 6.91/1.29 % (2150176)------------------------------
% 6.91/1.29 % (2150176)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.91/1.29 % (2150176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.91/1.29 % (2150176)CaDiCaL version: 2.1.3
% 6.91/1.29 % (2150176)Termination reason: Instruction limit
% 6.91/1.29 % (2150176)Termination phase: Saturation
% 6.91/1.29 % (2150176)Time elapsed: 0.100 s
% 6.91/1.29 % (2150176)Peak memory usage: 13 MB
% 6.91/1.29 % (2150176)Instructions burned: 159 (million)
% 6.91/1.29 % (2150226)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=448201616:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 6.91/1.29 % (2150226)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 6.91/1.29 % (2150226)Terminated due to inappropriate strategy.
% 6.91/1.29 % (2150226)------------------------------
% 6.91/1.29 % (2150226)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.91/1.29 % (2150226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.91/1.29 % (2150226)CaDiCaL version: 2.1.3
% 6.91/1.29 % (2150226)Termination reason: Inappropriate
% 6.91/1.29 % (2150226)Time elapsed: 0.0000 s
% 6.91/1.29 % (2150226)Peak memory usage: 10 MB
% 6.91/1.29 % (2150226)------------------------------
% 6.91/1.29 % (2150226)------------------------------
% 6.91/1.29 % (2150202)Instruction limit reached!
% 6.91/1.29 % (2150202)------------------------------
% 6.91/1.29 % (2150202)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.91/1.29 % (2150202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.91/1.29 % (2150202)CaDiCaL version: 2.1.3
% 6.91/1.29 % (2150202)Termination reason: Instruction limit
% 6.91/1.29 % (2150202)Termination phase: Saturation
% 6.91/1.29 % (2150202)Time elapsed: 0.085 s
% 6.91/1.29 % (2150202)Peak memory usage: 13 MB
% 6.91/1.29 % (2150202)Instructions burned: 132 (million)
% 6.91/1.29 % (2150236)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1393487330:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 6.91/1.29 % (2150237)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1905974919:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 6.91/1.29 % (2150237)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 6.91/1.29 % (2150237)Terminated due to inappropriate strategy.
% 6.91/1.29 % (2150237)------------------------------
% 6.91/1.29 % (2150237)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.91/1.29 % (2150237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.91/1.29 % (2150237)CaDiCaL version: 2.1.3
% 6.91/1.29 % (2150237)Termination reason: Inappropriate
% 6.91/1.29 % (2150237)Time elapsed: 0.0000 s
% 6.91/1.29 % (2150237)Peak memory usage: 10 MB
% 6.91/1.29 % (2150237)------------------------------
% 6.91/1.29 % (2150237)------------------------------
% 6.91/1.29 % (2150245)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=208114619: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)
% 6.91/1.29 % (2150215)Instruction limit reached!
% 6.91/1.29 % (2150215)------------------------------
% 6.91/1.29 % (2150215)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.91/1.29 % (2150215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.91/1.29 % (2150215)CaDiCaL version: 2.1.3
% 6.91/1.29 % (2150215)Termination reason: Instruction limit
% 6.91/1.29 % (2150215)Termination phase: Saturation
% 6.91/1.29 % (2150215)Time elapsed: 0.082 s
% 6.91/1.29 % (2150215)Peak memory usage: 12 MB
% 6.91/1.29 % (2150215)Instructions burned: 181 (million)
% 6.91/1.29 % (2150256)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2313449669:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 16.98/2.80 % (2150203)Instruction limit reached!
% 16.98/2.80 % (2150203)------------------------------
% 16.98/2.80 % (2150203)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.98/2.80 % (2150203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.98/2.80 % (2150203)CaDiCaL version: 2.1.3
% 16.98/2.80 % (2150203)Termination reason: Instruction limit
% 16.98/2.80 % (2150203)Termination phase: Saturation
% 16.98/2.80 % (2150203)Time elapsed: 0.209 s
% 16.98/2.80 % (2150203)Peak memory usage: 18 MB
% 16.98/2.80 % (2150203)Instructions burned: 685 (million)
% 16.98/2.80 % (2150286)fmb+10_1_sil=64000:random_seed=524479720:i=22061:nm=2:gsp=on_2997 on theBenchmark for (2997ds/22061Mi)
% 16.98/2.80 % (2150286)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 16.98/2.80 % (2150286)Terminated due to inappropriate strategy.
% 16.98/2.80 % (2150286)------------------------------
% 16.98/2.80 % (2150286)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.98/2.80 % (2150286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.98/2.80 % (2150286)CaDiCaL version: 2.1.3
% 16.98/2.80 % (2150286)Termination reason: Inappropriate
% 16.98/2.80 % (2150286)Time elapsed: 0.0000 s
% 16.98/2.80 % (2150286)Peak memory usage: 10 MB
% 16.98/2.80 % (2150286)------------------------------
% 16.98/2.80 % (2150286)------------------------------
% 16.98/2.80 % (2150296)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1302727166:i=9515:nm=5_2997 on theBenchmark for (2997ds/9515Mi)
% 16.98/2.80 % (2150296)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 16.98/2.80 % (2150296)Terminated due to inappropriate strategy.
% 16.98/2.80 % (2150296)------------------------------
% 16.98/2.80 % (2150296)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.98/2.80 % (2150296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.98/2.80 % (2150296)CaDiCaL version: 2.1.3
% 16.98/2.80 % (2150296)Termination reason: Inappropriate
% 16.98/2.80 % (2150296)Time elapsed: 0.0000 s
% 16.98/2.80 % (2150296)Peak memory usage: 10 MB
% 16.98/2.80 % (2150296)------------------------------
% 16.98/2.80 % (2150296)------------------------------
% 16.98/2.80 % (2150303)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=513583756:fmbsr=1.7:i=920_2996 on theBenchmark for (2996ds/920Mi)
% 16.98/2.80 % (2150303)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 16.98/2.80 % (2150303)Terminated due to inappropriate strategy.
% 16.98/2.80 % (2150303)------------------------------
% 16.98/2.80 % (2150303)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.98/2.80 % (2150303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.98/2.80 % (2150303)CaDiCaL version: 2.1.3
% 16.98/2.80 % (2150303)Termination reason: Inappropriate
% 16.98/2.80 % (2150303)Time elapsed: 0.0000 s
% 16.98/2.80 % (2150303)Peak memory usage: 10 MB
% 16.98/2.80 % (2150303)------------------------------
% 16.98/2.80 % (2150303)------------------------------
% 16.98/2.80 % (2150307)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=296511559:i=5131_2996 on theBenchmark for (2996ds/5131Mi)
% 16.98/2.80 % (2150217)Instruction limit reached!
% 16.98/2.80 % (2150217)------------------------------
% 16.98/2.80 % (2150217)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.98/2.80 % (2150217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.98/2.80 % (2150217)CaDiCaL version: 2.1.3
% 16.98/2.80 % (2150217)Termination reason: Instruction limit
% 16.98/2.80 % (2150217)Termination phase: Saturation
% 16.98/2.80 % (2150217)Time elapsed: 0.271 s
% 16.98/2.80 % (2150217)Peak memory usage: 13 MB
% 16.98/2.80 % (2150217)Instructions burned: 478 (million)
% 16.98/2.80 % (2150313)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=4054501794:i=1472:ins=7:fdi=8:gsp=on_2995 on theBenchmark for (2995ds/1472Mi)
% 16.98/2.80 % (2150245)Instruction limit reached!
% 16.98/2.80 % (2150245)------------------------------
% 16.98/2.80 % (2150245)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.98/2.80 % (2150245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.98/2.80 % (2150245)CaDiCaL version: 2.1.3
% 16.98/2.80 % (2150245)Termination reason: Instruction limit
% 16.98/2.80 % (2150245)Termination phase: Saturation
% 16.98/2.80 % (2150245)Time elapsed: 0.393 s
% 16.98/2.80 % (2150245)Peak memory usage: 21 MB
% 16.98/2.80 % (2150245)Instructions burned: 692 (million)
% 16.98/2.80 % (2150315)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2372610804:i=6324_2994 on theBenchmark for (2994ds/6324Mi)
% 16.98/2.80 % (2150315)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 16.98/2.80 % (2150315)Terminated due to inappropriate strategy.
% 16.98/2.80 % (2150315)------------------------------
% 16.98/2.80 % (2150315)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.98/2.80 % (2150315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.98/2.80 % (2150315)CaDiCaL version: 2.1.3
% 16.98/2.80 % (2150315)Termination reason: Inappropriate
% 16.98/2.80 % (2150315)Time elapsed: 0.0000 s
% 16.98/2.80 % (2150315)Peak memory usage: 10 MB
% 16.98/2.80 % (2150315)------------------------------
% 16.98/2.80 % (2150315)------------------------------
% 16.98/2.80 % (2150317)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3759178457:fmbsr=2.30978:i=2174_2993 on theBenchmark for (2993ds/2174Mi)
% 16.98/2.80 % (2150317)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 16.98/2.80 % (2150317)Terminated due to inappropriate strategy.
% 16.98/2.80 % (2150317)------------------------------
% 16.98/2.80 % (2150317)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.98/2.80 % (2150317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.98/2.80 % (2150317)CaDiCaL version: 2.1.3
% 16.98/2.80 % (2150317)Termination reason: Inappropriate
% 16.98/2.80 % (2150317)Time elapsed: 0.0000 s
% 16.98/2.80 % (2150317)Peak memory usage: 10 MB
% 16.98/2.80 % (2150317)------------------------------
% 16.98/2.80 % (2150317)------------------------------
% 16.98/2.80 % (2150319)ott-2_1_sil=16000:newcnf=on:random_seed=2614744514:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2993 on theBenchmark for (2993ds/869Mi)
% 16.98/2.80 % (2150256)Instruction limit reached!
% 16.98/2.80 % (2150256)------------------------------
% 16.98/2.80 % (2150256)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.98/2.80 % (2150256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.98/2.80 % (2150256)CaDiCaL version: 2.1.3
% 16.98/2.80 % (2150256)Termination reason: Instruction limit
% 16.98/2.80 % (2150256)Termination phase: Saturation
% 16.98/2.80 % (2150256)Time elapsed: 0.480 s
% 16.98/2.80 % (2150256)Peak memory usage: 19 MB
% 16.98/2.80 % (2150256)Instructions burned: 880 (million)
% 16.98/2.80 % (2150321)ott+10_1_sil=32000:tgt=ground:random_seed=592010173:i=5114:av=off_2992 on theBenchmark for (2992ds/5114Mi)
% 16.98/2.80 % (2150236)Instruction limit reached!
% 16.98/2.80 % (2150236)------------------------------
% 16.98/2.80 % (2150236)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.98/2.80 % (2150236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.98/2.80 % (2150236)CaDiCaL version: 2.1.3
% 16.98/2.80 % (2150236)Termination reason: Instruction limit
% 16.98/2.80 % (2150236)Termination phase: Saturation
% 16.98/2.80 % (2150236)Time elapsed: 0.691 s
% 16.98/2.80 % (2150236)Peak memory usage: 19 MB
% 16.98/2.80 % (2150236)Instructions burned: 1180 (million)
% 16.98/2.80 % (2150323)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=386769610:i=54282_2991 on theBenchmark for (2991ds/54282Mi)
% 16.98/2.80 % (2150323)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 16.98/2.80 % (2150323)Terminated due to inappropriate strategy.
% 16.98/2.80 % (2150323)------------------------------
% 16.98/2.80 % (2150323)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.98/2.80 % (2150323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.98/2.80 % (2150323)CaDiCaL version: 2.1.3
% 16.98/2.80 % (2150323)Termination reason: Inappropriate
% 16.98/2.80 % (2150323)Time elapsed: 0.0000 s
% 16.98/2.80 % (2150323)Peak memory usage: 10 MB
% 16.98/2.80 % (2150323)------------------------------
% 16.98/2.80 % (2150323)------------------------------
% 16.98/2.80 % (2150325)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2241969849:i=3512:aac=none_2991 on theBenchmark for (2991ds/3512Mi)
% 16.98/2.80 % (2150319)Instruction limit reached!
% 16.98/2.80 % (2150319)------------------------------
% 16.98/2.80 % (2150319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.98/2.80 % (2150319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.44/2.80 % (2150319)CaDiCaL version: 2.1.3
% 18.44/2.80 % (2150319)Termination reason: Instruction limit
% 18.44/2.80 % (2150319)Termination phase: Saturation
% 18.44/2.80 % (2150319)Time elapsed: 0.428 s
% 18.44/2.80 % (2150319)Peak memory usage: 16 MB
% 18.44/2.80 % (2150319)Instructions burned: 871 (million)
% 18.44/2.80 % (2150327)dis+21_1_sil=32000:sas=cadical:random_seed=716638520:i=3773:amm=off_2989 on theBenchmark for (2989ds/3773Mi)
% 18.44/2.80 % (2150313)Instruction limit reached!
% 18.44/2.80 % (2150313)------------------------------
% 18.44/2.80 % (2150313)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.44/2.80 % (2150313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.44/2.80 % (2150313)CaDiCaL version: 2.1.3
% 18.44/2.80 % (2150313)Termination reason: Instruction limit
% 18.44/2.80 % (2150313)Termination phase: Saturation
% 18.44/2.80 % (2150313)Time elapsed: 0.768 s
% 18.44/2.80 % (2150313)Peak memory usage: 23 MB
% 18.44/2.80 % (2150313)Instructions burned: 1474 (million)
% 18.44/2.80 % (2150329)ott+11_1_sil=16000:gs=on:random_seed=4055222360:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2988 on theBenchmark for (2988ds/2251Mi)
% 18.44/2.80 % (2150307)Instruction limit reached!
% 18.44/2.80 % (2150307)------------------------------
% 18.44/2.80 % (2150307)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.44/2.80 % (2150307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.44/2.80 % (2150307)CaDiCaL version: 2.1.3
% 18.44/2.80 % (2150307)Termination reason: Instruction limit
% 18.44/2.80 % (2150307)Termination phase: Saturation
% 18.44/2.80 % (2150307)Time elapsed: 1.447 s
% 18.44/2.80 % (2150307)Peak memory usage: 46 MB
% 18.44/2.80 % (2150307)Instructions burned: 5132 (million)
% 18.44/2.80 % (2150331)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=1449514695:fmbsr=1.6:i=67534_2982 on theBenchmark for (2982ds/67534Mi)
% 18.44/2.80 % (2150331)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 18.44/2.80 % (2150331)Terminated due to inappropriate strategy.
% 18.44/2.80 % (2150331)------------------------------
% 18.44/2.80 % (2150331)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.44/2.80 % (2150331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.44/2.80 % (2150331)CaDiCaL version: 2.1.3
% 18.44/2.80 % (2150331)Termination reason: Inappropriate
% 18.44/2.80 % (2150331)Time elapsed: 0.0000 s
% 18.44/2.80 % (2150331)Peak memory usage: 10 MB
% 18.44/2.80 % (2150331)------------------------------
% 18.44/2.80 % (2150331)------------------------------
% 18.44/2.80 % (2150333)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=3073310376:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2982 on theBenchmark for (2982ds/4591Mi)
% 18.44/2.80 % (2150329)Instruction limit reached!
% 18.44/2.80 % (2150329)------------------------------
% 18.44/2.80 % (2150329)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.44/2.80 % (2150329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.44/2.80 % (2150329)CaDiCaL version: 2.1.3
% 18.44/2.80 % (2150329)Termination reason: Instruction limit
% 18.44/2.80 % (2150329)Termination phase: Saturation
% 18.44/2.80 % (2150329)Time elapsed: 1.228 s
% 18.44/2.80 % (2150329)Peak memory usage: 27 MB
% 18.44/2.80 % (2150329)Instructions burned: 2252 (million)
% 18.44/2.80 % (2150335)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=540231299:i=29340_2975 on theBenchmark for (2975ds/29340Mi)
% 18.44/2.80 % (2150335) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2150157-2150335"...
% 18.44/2.80 % (2150335)...printing done.
% 18.44/2.80 % (2150335)Refutation found. Thanks to Tanya!
% 18.44/2.80 % SZS status Theorem for theBenchmark
% 18.44/2.80 % SZS output start Proof for theBenchmark
% 18.44/2.80 tff(func_def_8, type, sK0: $int).
% 18.44/2.80 tff(f1,conjecture,(
% 18.44/2.80 ! [X0 : $int] : ($product(X0,3) = 6 => X0 = 2)),
% 18.44/2.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_only_2_3_6)).
% 18.44/2.80 tff(f2,negated_conjecture,(
% 18.44/2.80 ~ ! [X0 : $int] : ($product(X0,3) = 6 => X0 = 2)),
% 18.44/2.80 inference(negated_conjecture,[status(cth)],[f1])).
% 18.44/2.80 tff(f14,definition,(
% 18.44/2.80 ( ! [X0 : $int,X1 : $int] : ($product(X0,X1) = $product(X1,X0)) )),
% 18.44/2.80 introduced(theory,[tha_commutativity])).
% 18.44/2.80 tff(f19,definition,(
% 18.44/2.80 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int] : (0 = X0 | $product(X0,X2) != X1 | $product(X0,X3) != X1 | X2 = X3) )),
% 18.44/2.80 introduced(theory,[tha_divisibility])).
% 18.44/2.80 tff(f21,plain,(
% 18.44/2.80 ? [X0 : $int] : (2 != X0 & $product(X0,3) = 6)),
% 18.44/2.80 inference(ennf_transformation,[],[f2])).
% 18.44/2.80 tff(f22,plain,(
% 18.44/2.80 2 != sK0 & 6 = $product(sK0,3)),
% 18.44/2.80 inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f21])).
% 18.44/2.80 tff(f23,plain,(
% 18.44/2.80 6 = $product(sK0,3)),
% 18.44/2.80 inference(cnf_transformation,[],[f22])).
% 18.44/2.80 tff(f24,plain,(
% 18.44/2.80 2 != sK0),
% 18.44/2.80 inference(cnf_transformation,[],[f22])).
% 18.44/2.80 tff(f25,plain,(
% 18.44/2.80 ( ! [X2 : $int,X3 : $int,X0 : $int] : ($product(X0,X2) != $product(X0,X3) | 0 = X0 | X2 = X3) )),
% 18.44/2.80 inference(equality_resolution,[],[f19])).
% 18.44/2.80 tff(f38,plain,(
% 18.44/2.80 6 = $product(3,sK0)),
% 18.44/2.80 inference(superposition,[],[f14,f23])).
% 18.44/2.80 tff(f7718,plain,(
% 18.44/2.80 ( ! [X0 : $int] : (6 != $product(3,X0) | 3 = 0 | sK0 = X0) )),
% 18.44/2.80 inference(superposition,[],[f25,f38])).
% 18.44/2.80 tff(f7840,plain,(
% 18.44/2.80 ( ! [X0 : $int] : (6 != $product(3,X0) | sK0 = X0) )),
% 18.44/2.80 inference(evaluation,[],[f7718])).
% 18.44/2.80 tff(f7934,plain,(
% 18.44/2.80 6 != $product(3,2)),
% 18.44/2.80 inference(unit_resulting_resolution,[],[f7840,f24])).
% 18.44/2.80 tff(f7949,plain,(
% 18.44/2.80 $false),
% 18.44/2.80 inference(evaluation,[],[f7934])).
% 18.44/2.80 % SZS output end Proof for theBenchmark
% 18.44/2.80 % (2150335)------------------------------
% 18.44/2.80 % (2150335)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.44/2.80 % (2150335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.44/2.80 % (2150335)CaDiCaL version: 2.1.3
% 18.44/2.80 % (2150335)Termination reason: Refutation
% 18.44/2.80 % (2150335)Time elapsed: 0.118 s
% 18.44/2.80 % (2150335)Peak memory usage: 13 MB
% 18.44/2.80 % (2150335)Instructions burned: 224 (million)
% 18.44/2.80 % (2150157)Success in time 2.595 s
% 18.44/2.80 % Vampire exiting
%------------------------------------------------------------------------------