%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI106_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n010.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 16.26s 2.65s
% Output : Refutation 16.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI106_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 % Computer : n010.cluster.edu
% 0.09/0.21 % Model : x86_64 x86_64
% 0.09/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.21 % Memory : 8046.5625MB
% 0.09/0.21 % OS : Linux 6.8.0-71-generic
% 0.09/0.21 % CPULimit : 300
% 0.09/0.21 % WCLimit : 300
% 0.09/0.21 % DateTime : Mon Sep 28 20:43:18 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.24 Running first-order model finding
% 0.09/0.24 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
% 3.12/0.72 % (2294569)Will run a generic schedule for satisfiability detection.
% 3.12/0.72 % (2294574)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1560299792_2999 on theBenchmark for (2999ds/0Mi)
% 3.12/0.72 % (2294574)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 3.12/0.72 % (2294574)Terminated due to inappropriate strategy.
% 3.12/0.72 % (2294574)------------------------------
% 3.12/0.72 % (2294574)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.12/0.72 % (2294574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.12/0.72 % (2294574)CaDiCaL version: 2.1.3
% 3.12/0.72 % (2294574)Termination reason: Inappropriate
% 3.12/0.72 % (2294574)Time elapsed: 0.0000 s
% 3.12/0.72 % (2294574)Peak memory usage: 10 MB
% 3.12/0.72 % (2294574)------------------------------
% 3.12/0.72 % (2294574)------------------------------
% 3.12/0.72 % (2294575)% WARNING: option uhcvi not known.
% 3.12/0.72 % (2294578)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=211335983:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 3.12/0.72 % (2294575)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2425817023:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 3.12/0.72 % (2294576)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=642490741:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 3.12/0.72 % (2294577)dis+10_1_sil=32000:sp=arity:random_seed=3135411313:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 3.12/0.72 % (2294579)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1509581731:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 3.12/0.72 % (2294580)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=162305584:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 3.12/0.72 % (2294582)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3582059914:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 3.12/0.72 % (2294582)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 3.12/0.72 % (2294582)Terminated due to inappropriate strategy.
% 3.12/0.72 % (2294582)------------------------------
% 3.12/0.72 % (2294582)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.12/0.72 % (2294582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.12/0.72 % (2294582)CaDiCaL version: 2.1.3
% 3.12/0.72 % (2294582)Termination reason: Inappropriate
% 3.12/0.72 % (2294582)Time elapsed: 0.0000 s
% 3.12/0.72 % (2294582)Peak memory usage: 10 MB
% 3.12/0.72 % (2294582)------------------------------
% 3.12/0.72 % (2294582)------------------------------
% 3.12/0.72 % (2294590)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3930319683:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 3.12/0.72 % (2294577)Instruction limit reached!
% 3.12/0.72 % (2294577)------------------------------
% 3.12/0.72 % (2294577)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.12/0.72 % (2294577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.12/0.72 % (2294577)CaDiCaL version: 2.1.3
% 3.12/0.72 % (2294577)Termination reason: Instruction limit
% 3.12/0.72 % (2294577)Termination phase: Saturation
% 3.12/0.72 % (2294577)Time elapsed: 0.059 s
% 3.12/0.72 % (2294577)Peak memory usage: 12 MB
% 3.12/0.72 % (2294577)Instructions burned: 103 (million)
% 3.12/0.72 % (2294590)Instruction limit reached!
% 3.12/0.72 % (2294590)------------------------------
% 3.12/0.72 % (2294590)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.12/0.72 % (2294590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.12/0.72 % (2294590)CaDiCaL version: 2.1.3
% 3.12/0.72 % (2294590)Termination reason: Instruction limit
% 3.12/0.72 % (2294590)Termination phase: Saturation
% 3.12/0.72 % (2294590)Time elapsed: 0.046 s
% 3.12/0.72 % (2294590)Peak memory usage: 13 MB
% 3.12/0.72 % (2294590)Instructions burned: 133 (million)
% 3.12/0.72 % (2294578)Instruction limit reached!
% 3.12/0.72 % (2294578)------------------------------
% 3.12/0.72 % (2294578)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.12/0.72 % (2294578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.12/0.72 % (2294578)CaDiCaL version: 2.1.3
% 3.12/0.72 % (2294578)Termination reason: Instruction limit
% 3.12/0.72 % (2294578)Termination phase: Saturation
% 3.12/0.72 % (2294578)Time elapsed: 0.069 s
% 5.58/1.11 % (2294578)Peak memory usage: 12 MB
% 5.58/1.11 % (2294578)Instructions burned: 116 (million)
% 5.58/1.11 % (2294593)ott-21_1_sil=16000:fs=off:random_seed=2133247242:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 5.58/1.11 % (2294592)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=1377975423:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 5.58/1.11 % (2294579)Instruction limit reached!
% 5.58/1.11 % (2294579)------------------------------
% 5.58/1.11 % (2294579)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.58/1.11 % (2294579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.58/1.11 % (2294579)CaDiCaL version: 2.1.3
% 5.58/1.11 % (2294579)Termination reason: Instruction limit
% 5.58/1.11 % (2294579)Termination phase: Saturation
% 5.58/1.11 % (2294579)Time elapsed: 0.079 s
% 5.58/1.11 % (2294579)Peak memory usage: 13 MB
% 5.58/1.11 % (2294579)Instructions burned: 132 (million)
% 5.58/1.11 % (2294594)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2108455499:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 5.58/1.11 % (2294580)Instruction limit reached!
% 5.58/1.11 % (2294580)------------------------------
% 5.58/1.11 % (2294580)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.58/1.11 % (2294580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.58/1.11 % (2294580)CaDiCaL version: 2.1.3
% 5.58/1.11 % (2294580)Termination reason: Instruction limit
% 5.58/1.11 % (2294580)Termination phase: Saturation
% 5.58/1.11 % (2294580)Time elapsed: 0.091 s
% 5.58/1.11 % (2294580)Peak memory usage: 13 MB
% 5.58/1.11 % (2294580)Instructions burned: 159 (million)
% 5.58/1.11 % (2294597)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3861033196:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 5.58/1.11 % (2294597)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 5.58/1.11 % (2294597)Terminated due to inappropriate strategy.
% 5.58/1.11 % (2294597)------------------------------
% 5.58/1.11 % (2294597)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.58/1.11 % (2294597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.58/1.11 % (2294597)CaDiCaL version: 2.1.3
% 5.58/1.11 % (2294597)Termination reason: Inappropriate
% 5.58/1.11 % (2294597)Time elapsed: 0.0000 s
% 5.58/1.11 % (2294597)Peak memory usage: 10 MB
% 5.58/1.11 % (2294597)------------------------------
% 5.58/1.11 % (2294597)------------------------------
% 5.58/1.11 % (2294599)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3701190096:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 5.58/1.11 % (2294593)Instruction limit reached!
% 5.58/1.11 % (2294593)------------------------------
% 5.58/1.11 % (2294593)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.58/1.11 % (2294593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.58/1.11 % (2294593)CaDiCaL version: 2.1.3
% 5.58/1.11 % (2294593)Termination reason: Instruction limit
% 5.58/1.11 % (2294593)Termination phase: Saturation
% 5.58/1.11 % (2294593)Time elapsed: 0.044 s
% 5.58/1.11 % (2294593)Peak memory usage: 12 MB
% 5.58/1.11 % (2294593)Instructions burned: 184 (million)
% 5.58/1.11 % (2294601)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2005182677:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 5.58/1.11 % (2294601)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 5.58/1.11 % (2294601)Terminated due to inappropriate strategy.
% 5.58/1.11 % (2294601)------------------------------
% 5.58/1.11 % (2294601)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.58/1.11 % (2294601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.58/1.11 % (2294601)CaDiCaL version: 2.1.3
% 5.58/1.11 % (2294601)Termination reason: Inappropriate
% 5.58/1.11 % (2294601)Time elapsed: 0.0000 s
% 5.58/1.11 % (2294601)Peak memory usage: 10 MB
% 5.58/1.11 % (2294601)------------------------------
% 5.58/1.11 % (2294601)------------------------------
% 5.58/1.11 % (2294603)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=2303243849: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)
% 5.58/1.11 % (2294605)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3949620828:i=879:kws=inv_precedence:fsr=off_2998 on theBenchmark for (2998ds/879Mi)
% 16.26/2.65 % (2294603)Instruction limit reached!
% 16.26/2.65 % (2294603)------------------------------
% 16.26/2.65 % (2294603)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.26/2.65 % (2294603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.26/2.65 % (2294603)CaDiCaL version: 2.1.3
% 16.26/2.65 % (2294603)Termination reason: Instruction limit
% 16.26/2.65 % (2294603)Termination phase: Saturation
% 16.26/2.65 % (2294603)Time elapsed: 0.203 s
% 16.26/2.65 % (2294603)Peak memory usage: 17 MB
% 16.26/2.65 % (2294603)Instructions burned: 693 (million)
% 16.26/2.65 % (2294608)fmb+10_1_sil=64000:random_seed=2641568148:i=22061:nm=2:gsp=on_2996 on theBenchmark for (2996ds/22061Mi)
% 16.26/2.65 % (2294608)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 16.26/2.65 % (2294608)Terminated due to inappropriate strategy.
% 16.26/2.65 % (2294608)------------------------------
% 16.26/2.65 % (2294608)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.26/2.65 % (2294608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.26/2.65 % (2294608)CaDiCaL version: 2.1.3
% 16.26/2.65 % (2294608)Termination reason: Inappropriate
% 16.26/2.65 % (2294608)Time elapsed: 0.0000 s
% 16.26/2.65 % (2294608)Peak memory usage: 10 MB
% 16.26/2.65 % (2294608)------------------------------
% 16.26/2.65 % (2294608)------------------------------
% 16.26/2.65 % (2294610)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=416497254:i=9515:nm=5_2996 on theBenchmark for (2996ds/9515Mi)
% 16.26/2.65 % (2294610)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 16.26/2.65 % (2294610)Terminated due to inappropriate strategy.
% 16.26/2.65 % (2294610)------------------------------
% 16.26/2.65 % (2294610)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.26/2.65 % (2294610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.26/2.65 % (2294610)CaDiCaL version: 2.1.3
% 16.26/2.65 % (2294610)Termination reason: Inappropriate
% 16.26/2.65 % (2294610)Time elapsed: 0.0000 s
% 16.26/2.65 % (2294610)Peak memory usage: 10 MB
% 16.26/2.65 % (2294610)------------------------------
% 16.26/2.65 % (2294610)------------------------------
% 16.26/2.65 % (2294594)Instruction limit reached!
% 16.26/2.65 % (2294594)------------------------------
% 16.26/2.65 % (2294594)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.26/2.65 % (2294594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.26/2.65 % (2294594)CaDiCaL version: 2.1.3
% 16.26/2.65 % (2294594)Termination reason: Instruction limit
% 16.26/2.65 % (2294594)Termination phase: Saturation
% 16.26/2.65 % (2294594)Time elapsed: 0.268 s
% 16.26/2.65 % (2294594)Peak memory usage: 14 MB
% 16.26/2.65 % (2294594)Instructions burned: 477 (million)
% 16.26/2.65 % (2294612)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1758851727:fmbsr=1.7:i=920_2996 on theBenchmark for (2996ds/920Mi)
% 16.26/2.65 % (2294612)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 16.26/2.65 % (2294612)Terminated due to inappropriate strategy.
% 16.26/2.65 % (2294612)------------------------------
% 16.26/2.65 % (2294612)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.26/2.65 % (2294612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.26/2.65 % (2294612)CaDiCaL version: 2.1.3
% 16.26/2.65 % (2294612)Termination reason: Inappropriate
% 16.26/2.65 % (2294612)Time elapsed: 0.0000 s
% 16.26/2.65 % (2294612)Peak memory usage: 10 MB
% 16.26/2.65 % (2294612)------------------------------
% 16.26/2.65 % (2294612)------------------------------
% 16.26/2.65 % (2294615)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=494901348:i=1472:ins=7:fdi=8:gsp=on_2996 on theBenchmark for (2996ds/1472Mi)
% 16.26/2.65 % (2294613)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2250649582:i=5131_2996 on theBenchmark for (2996ds/5131Mi)
% 16.26/2.65 % (2294592)Instruction limit reached!
% 16.26/2.65 % (2294592)------------------------------
% 16.26/2.65 % (2294592)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.26/2.65 % (2294592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.26/2.65 % (2294592)CaDiCaL version: 2.1.3
% 16.26/2.65 % (2294592)Termination reason: Instruction limit
% 16.26/2.65 % (2294592)Termination phase: Saturation
% 16.26/2.65 % (2294592)Time elapsed: 0.363 s
% 16.26/2.65 % (2294592)Peak memory usage: 17 MB
% 16.26/2.65 % (2294592)Instructions burned: 684 (million)
% 16.26/2.65 % (2294618)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3908859047:i=6324_2995 on theBenchmark for (2995ds/6324Mi)
% 16.26/2.65 % (2294618)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 16.26/2.65 % (2294618)Terminated due to inappropriate strategy.
% 16.26/2.65 % (2294618)------------------------------
% 16.26/2.65 % (2294618)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.26/2.65 % (2294618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.26/2.65 % (2294618)CaDiCaL version: 2.1.3
% 16.26/2.65 % (2294618)Termination reason: Inappropriate
% 16.26/2.65 % (2294618)Time elapsed: 0.0000 s
% 16.26/2.65 % (2294618)Peak memory usage: 10 MB
% 16.26/2.65 % (2294618)------------------------------
% 16.26/2.65 % (2294618)------------------------------
% 16.26/2.65 % (2294620)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=333318652:fmbsr=2.30978:i=2174_2995 on theBenchmark for (2995ds/2174Mi)
% 16.26/2.65 % (2294620)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 16.26/2.65 % (2294620)Terminated due to inappropriate strategy.
% 16.26/2.65 % (2294620)------------------------------
% 16.26/2.65 % (2294620)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.26/2.65 % (2294620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.26/2.65 % (2294620)CaDiCaL version: 2.1.3
% 16.26/2.65 % (2294620)Termination reason: Inappropriate
% 16.26/2.65 % (2294620)Time elapsed: 0.0000 s
% 16.26/2.65 % (2294620)Peak memory usage: 10 MB
% 16.26/2.65 % (2294620)------------------------------
% 16.26/2.65 % (2294620)------------------------------
% 16.26/2.65 % (2294622)ott-2_1_sil=16000:newcnf=on:random_seed=920357971:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2994 on theBenchmark for (2994ds/869Mi)
% 16.26/2.65 % (2294605)Instruction limit reached!
% 16.26/2.65 % (2294605)------------------------------
% 16.26/2.65 % (2294605)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.26/2.65 % (2294605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.26/2.65 % (2294605)CaDiCaL version: 2.1.3
% 16.26/2.65 % (2294605)Termination reason: Instruction limit
% 16.26/2.65 % (2294605)Termination phase: Saturation
% 16.26/2.65 % (2294605)Time elapsed: 0.467 s
% 16.26/2.65 % (2294605)Peak memory usage: 19 MB
% 16.26/2.65 % (2294605)Instructions burned: 881 (million)
% 16.26/2.65 % (2294624)ott+10_1_sil=32000:tgt=ground:random_seed=3280174199:i=5114:av=off_2993 on theBenchmark for (2993ds/5114Mi)
% 16.26/2.65 % (2294599)Instruction limit reached!
% 16.26/2.65 % (2294599)------------------------------
% 16.26/2.65 % (2294599)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.26/2.65 % (2294599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.26/2.65 % (2294599)CaDiCaL version: 2.1.3
% 16.26/2.65 % (2294599)Termination reason: Instruction limit
% 16.26/2.65 % (2294599)Termination phase: Saturation
% 16.26/2.65 % (2294599)Time elapsed: 0.684 s
% 16.26/2.65 % (2294599)Peak memory usage: 19 MB
% 16.26/2.65 % (2294599)Instructions burned: 1180 (million)
% 16.26/2.65 % (2294626)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2619157243:i=54282_2991 on theBenchmark for (2991ds/54282Mi)
% 16.26/2.65 % (2294626)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 16.26/2.65 % (2294626)Terminated due to inappropriate strategy.
% 16.26/2.65 % (2294626)------------------------------
% 16.26/2.65 % (2294626)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.26/2.65 % (2294626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.26/2.65 % (2294626)CaDiCaL version: 2.1.3
% 16.26/2.65 % (2294626)Termination reason: Inappropriate
% 16.26/2.65 % (2294626)Time elapsed: 0.0000 s
% 16.26/2.65 % (2294626)Peak memory usage: 11 MB
% 16.26/2.65 % (2294626)------------------------------
% 16.26/2.65 % (2294626)------------------------------
% 16.26/2.65 % (2294615)Instruction limit reached!
% 16.26/2.65 % (2294615)------------------------------
% 16.26/2.65 % (2294615)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.26/2.65 % (2294615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.26/2.65 % (2294615)CaDiCaL version: 2.1.3
% 16.26/2.65 % (2294615)Termination reason: Instruction limit
% 16.26/2.65 % (2294615)Termination phase: Saturation
% 16.26/2.65 % (2294615)Time elapsed: 0.456 s
% 16.26/2.65 % (2294615)Peak memory usage: 25 MB
% 16.26/2.65 % (2294615)Instructions burned: 1475 (million)
% 16.26/2.65 % (2294628)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=613069187:i=3512:aac=none_2991 on theBenchmark for (2991ds/3512Mi)
% 16.26/2.65 % (2294629)dis+21_1_sil=32000:sas=cadical:random_seed=3005178615:i=3773:amm=off_2991 on theBenchmark for (2991ds/3773Mi)
% 16.26/2.65 % (2294622)Instruction limit reached!
% 16.26/2.65 % (2294622)------------------------------
% 16.26/2.65 % (2294622)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.26/2.65 % (2294622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.26/2.65 % (2294622)CaDiCaL version: 2.1.3
% 16.26/2.65 % (2294622)Termination reason: Instruction limit
% 16.26/2.65 % (2294622)Termination phase: Saturation
% 16.26/2.65 % (2294622)Time elapsed: 0.451 s
% 16.26/2.65 % (2294622)Peak memory usage: 15 MB
% 16.26/2.65 % (2294622)Instructions burned: 870 (million)
% 16.26/2.65 % (2294632)ott+11_1_sil=16000:gs=on:random_seed=2206120825:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2990 on theBenchmark for (2990ds/2251Mi)
% 16.26/2.65 % (2294629)Instruction limit reached!
% 16.26/2.65 % (2294629)------------------------------
% 16.26/2.65 % (2294629)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.26/2.65 % (2294629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.26/2.65 % (2294629)CaDiCaL version: 2.1.3
% 16.26/2.65 % (2294629)Termination reason: Instruction limit
% 16.26/2.65 % (2294629)Termination phase: Saturation
% 16.26/2.65 % (2294629)Time elapsed: 1.089 s
% 16.26/2.65 % (2294629)Peak memory usage: 36 MB
% 16.26/2.65 % (2294629)Instructions burned: 3774 (million)
% 16.26/2.65 % (2294634)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=3610661239:fmbsr=1.6:i=67534_2980 on theBenchmark for (2980ds/67534Mi)
% 16.26/2.65 % (2294634)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 16.26/2.65 % (2294634)Terminated due to inappropriate strategy.
% 16.26/2.65 % (2294634)------------------------------
% 16.26/2.65 % (2294634)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.26/2.65 % (2294634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.26/2.65 % (2294634)CaDiCaL version: 2.1.3
% 16.26/2.65 % (2294634)Termination reason: Inappropriate
% 16.26/2.65 % (2294634)Time elapsed: 0.0000 s
% 16.26/2.65 % (2294634)Peak memory usage: 10 MB
% 16.26/2.65 % (2294634)------------------------------
% 16.26/2.65 % (2294634)------------------------------
% 16.26/2.65 % (2294636)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=2657598545:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2980 on theBenchmark for (2980ds/4591Mi)
% 16.26/2.65 % (2294632)Instruction limit reached!
% 16.26/2.65 % (2294632)------------------------------
% 16.26/2.65 % (2294632)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.26/2.65 % (2294632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.26/2.65 % (2294632)CaDiCaL version: 2.1.3
% 16.26/2.65 % (2294632)Termination reason: Instruction limit
% 16.26/2.65 % (2294632)Termination phase: Saturation
% 16.26/2.65 % (2294632)Time elapsed: 1.244 s
% 16.26/2.65 % (2294632)Peak memory usage: 24 MB
% 16.26/2.65 % (2294632)Instructions burned: 2252 (million)
% 16.26/2.65 % (2294638)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=714778852:i=29340_2977 on theBenchmark for (2977ds/29340Mi)
% 16.26/2.65 % (2294638) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2294569-2294638"...
% 16.26/2.65 % (2294638)...printing done.
% 16.26/2.65 % (2294638)Refutation found. Thanks to Tanya!
% 16.26/2.65 % SZS status Theorem for theBenchmark
% 16.26/2.65 % SZS output start Proof for theBenchmark
% 16.26/2.65 tff(func_def_8, type, sK0: $int).
% 16.26/2.65 tff(f1,conjecture,(
% 16.26/2.65 ! [X0 : $int] : ($product(2,X0) = 6 => X0 = 3)),
% 16.26/2.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_2_only_3_6)).
% 16.26/2.65 tff(f2,negated_conjecture,(
% 16.26/2.65 ~ ! [X0 : $int] : ($product(2,X0) = 6 => X0 = 3)),
% 16.26/2.65 inference(negated_conjecture,[status(cth)],[f1])).
% 16.26/2.65 tff(f19,definition,(
% 16.26/2.65 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int] : (0 = X0 | $product(X0,X2) != X1 | $product(X0,X3) != X1 | X2 = X3) )),
% 16.26/2.65 introduced(theory,[tha_divisibility])).
% 16.26/2.65 tff(f21,plain,(
% 16.26/2.65 ? [X0 : $int] : (3 != X0 & $product(2,X0) = 6)),
% 16.26/2.65 inference(ennf_transformation,[],[f2])).
% 16.26/2.65 tff(f22,plain,(
% 16.26/2.65 3 != sK0 & 6 = $product(2,sK0)),
% 16.26/2.65 inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f21])).
% 16.26/2.65 tff(f23,plain,(
% 16.26/2.65 6 = $product(2,sK0)),
% 16.26/2.65 inference(cnf_transformation,[],[f22])).
% 16.26/2.65 tff(f24,plain,(
% 16.26/2.65 3 != sK0),
% 16.26/2.65 inference(cnf_transformation,[],[f22])).
% 16.26/2.65 tff(f25,plain,(
% 16.26/2.65 ( ! [X2 : $int,X3 : $int,X0 : $int] : ($product(X0,X2) != $product(X0,X3) | 0 = X0 | X2 = X3) )),
% 16.26/2.65 inference(equality_resolution,[],[f19])).
% 16.26/2.65 tff(f7401,plain,(
% 16.26/2.65 ( ! [X0 : $int] : ($product(2,X0) != 6 | 2 = 0 | sK0 = X0) )),
% 16.26/2.65 inference(superposition,[],[f25,f23])).
% 16.26/2.65 tff(f7506,plain,(
% 16.26/2.65 ( ! [X0 : $int] : ($product(2,X0) != 6 | sK0 = X0) )),
% 16.26/2.65 inference(evaluation,[],[f7401])).
% 16.26/2.65 tff(f7595,plain,(
% 16.26/2.65 6 != $product(2,3)),
% 16.26/2.65 inference(unit_resulting_resolution,[],[f7506,f24])).
% 16.26/2.65 tff(f7611,plain,(
% 16.26/2.65 $false),
% 16.26/2.65 inference(evaluation,[],[f7595])).
% 16.26/2.65 % SZS output end Proof for theBenchmark
% 16.26/2.65 % (2294638)------------------------------
% 16.26/2.65 % (2294638)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.26/2.65 % (2294638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.26/2.65 % (2294638)CaDiCaL version: 2.1.3
% 16.26/2.65 % (2294638)Termination reason: Refutation
% 16.26/2.65 % (2294638)Time elapsed: 0.109 s
% 16.26/2.65 % (2294638)Peak memory usage: 13 MB
% 16.26/2.65 % (2294638)Instructions burned: 210 (million)
% 16.26/2.65 % (2294569)Success in time 2.398 s
% 16.26/2.65 % Vampire exiting
%------------------------------------------------------------------------------