%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI184_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 : n001.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 09:34:09 AM UTC 2026
% Result : Theorem 5.72s 1.09s
% Output : Refutation 5.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ARI184_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n001.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 20:50:19 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 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
% 3.94/0.87 % (714527)Will run a generic schedule for satisfiability detection.
% 3.94/0.87 % (714536)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2864246449:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 3.94/0.87 % (714533)% WARNING: option uhcvi not known.
% 3.94/0.87 % (714532)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1162114111_2999 on theBenchmark for (2999ds/0Mi)
% 3.94/0.87 % (714533)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2747886316:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 3.94/0.87 % (714534)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3469609073:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 3.94/0.87 % (714535)dis+10_1_sil=32000:sp=arity:random_seed=4110501726:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 3.94/0.87 % (714537)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1566252979:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 3.94/0.87 % (714532)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 3.94/0.87 % (714538)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2590841017:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 3.94/0.87 % (714532)Terminated due to inappropriate strategy.
% 3.94/0.87 % (714532)------------------------------
% 3.94/0.87 % (714532)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.94/0.87 % (714532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/0.87 % (714532)CaDiCaL version: 2.1.3
% 3.94/0.87 % (714532)Termination reason: Inappropriate
% 3.94/0.87 % (714532)Time elapsed: 0.0000 s
% 3.94/0.87 % (714532)Peak memory usage: 10 MB
% 3.94/0.87 % (714532)------------------------------
% 3.94/0.87 % (714532)------------------------------
% 3.94/0.87 % (714546)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1322809161:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 3.94/0.87 % (714546)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 3.94/0.87 % (714546)Terminated due to inappropriate strategy.
% 3.94/0.87 % (714546)------------------------------
% 3.94/0.87 % (714546)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.94/0.87 % (714546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/0.87 % (714546)CaDiCaL version: 2.1.3
% 3.94/0.87 % (714546)Termination reason: Inappropriate
% 3.94/0.87 % (714546)Time elapsed: 0.0000 s
% 3.94/0.87 % (714546)Peak memory usage: 10 MB
% 3.94/0.87 % (714546)------------------------------
% 3.94/0.87 % (714546)------------------------------
% 3.94/0.87 % (714536)Instruction limit reached!
% 3.94/0.87 % (714536)------------------------------
% 3.94/0.87 % (714536)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.94/0.87 % (714536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/0.87 % (714536)CaDiCaL version: 2.1.3
% 3.94/0.87 % (714536)Termination reason: Instruction limit
% 3.94/0.87 % (714536)Termination phase: Saturation
% 3.94/0.87 % (714536)Time elapsed: 0.040 s
% 3.94/0.87 % (714536)Peak memory usage: 12 MB
% 3.94/0.87 % (714536)Instructions burned: 118 (million)
% 3.94/0.87 % (714548)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1229421570:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 3.94/0.87 % (714549)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=2633943873:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 3.94/0.87 % (714535)Instruction limit reached!
% 3.94/0.87 % (714535)------------------------------
% 3.94/0.87 % (714535)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.94/0.87 % (714535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/0.87 % (714535)CaDiCaL version: 2.1.3
% 3.94/0.87 % (714535)Termination reason: Instruction limit
% 3.94/0.87 % (714535)Termination phase: Saturation
% 3.94/0.87 % (714535)Time elapsed: 0.064 s
% 3.94/0.87 % (714535)Peak memory usage: 12 MB
% 3.94/0.87 % (714535)Instructions burned: 104 (million)
% 3.94/0.87 % (714537)Instruction limit reached!
% 3.94/0.87 % (714537)------------------------------
% 3.94/0.87 % (714537)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.94/0.87 % (714537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.72/1.09 % (714537)CaDiCaL version: 2.1.3
% 5.72/1.09 % (714537)Termination reason: Instruction limit
% 5.72/1.09 % (714537)Termination phase: Saturation
% 5.72/1.09 % (714537)Time elapsed: 0.083 s
% 5.72/1.09 % (714537)Peak memory usage: 12 MB
% 5.72/1.09 % (714537)Instructions burned: 132 (million)
% 5.72/1.09 % (714552)ott-21_1_sil=16000:fs=off:random_seed=3017048096:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 5.72/1.09 % (714553)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1522096108:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 5.72/1.09 % (714538)Instruction limit reached!
% 5.72/1.09 % (714538)------------------------------
% 5.72/1.09 % (714538)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.72/1.09 % (714538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.72/1.09 % (714538)CaDiCaL version: 2.1.3
% 5.72/1.09 % (714538)Termination reason: Instruction limit
% 5.72/1.09 % (714538)Termination phase: Saturation
% 5.72/1.09 % (714538)Time elapsed: 0.110 s
% 5.72/1.09 % (714538)Peak memory usage: 13 MB
% 5.72/1.09 % (714538)Instructions burned: 160 (million)
% 5.72/1.09 % (714556)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=60922892:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 5.72/1.09 % (714548)Instruction limit reached!
% 5.72/1.09 % (714548)------------------------------
% 5.72/1.09 % (714548)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.72/1.09 % (714548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.72/1.09 % (714548)CaDiCaL version: 2.1.3
% 5.72/1.09 % (714548)Termination reason: Instruction limit
% 5.72/1.09 % (714548)Termination phase: Saturation
% 5.72/1.09 % (714548)Time elapsed: 0.087 s
% 5.72/1.09 % (714548)Peak memory usage: 13 MB
% 5.72/1.09 % (714548)Instructions burned: 131 (million)
% 5.72/1.09 % (714556)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 5.72/1.09 % (714556)Terminated due to inappropriate strategy.
% 5.72/1.09 % (714556)------------------------------
% 5.72/1.09 % (714556)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.72/1.09 % (714556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.72/1.09 % (714556)CaDiCaL version: 2.1.3
% 5.72/1.09 % (714556)Termination reason: Inappropriate
% 5.72/1.09 % (714556)Time elapsed: 0.0000 s
% 5.72/1.09 % (714556)Peak memory usage: 10 MB
% 5.72/1.09 % (714556)------------------------------
% 5.72/1.09 % (714556)------------------------------
% 5.72/1.09 % (714558)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1501833266:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 5.72/1.09 % (714559)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=511836381:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 5.72/1.09 % (714559)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 5.72/1.09 % (714559)Terminated due to inappropriate strategy.
% 5.72/1.09 % (714559)------------------------------
% 5.72/1.09 % (714559)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.72/1.09 % (714559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.72/1.09 % (714559)CaDiCaL version: 2.1.3
% 5.72/1.09 % (714559)Termination reason: Inappropriate
% 5.72/1.09 % (714559)Time elapsed: 0.0000 s
% 5.72/1.09 % (714559)Peak memory usage: 10 MB
% 5.72/1.09 % (714559)------------------------------
% 5.72/1.09 % (714559)------------------------------
% 5.72/1.09 % (714552)Instruction limit reached!
% 5.72/1.09 % (714552)------------------------------
% 5.72/1.09 % (714552)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.72/1.09 % (714552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.72/1.09 % (714552)CaDiCaL version: 2.1.3
% 5.72/1.09 % (714552)Termination reason: Instruction limit
% 5.72/1.09 % (714552)Termination phase: Saturation
% 5.72/1.09 % (714552)Time elapsed: 0.078 s
% 5.72/1.09 % (714552)Peak memory usage: 12 MB
% 5.72/1.09 % (714552)Instructions burned: 180 (million)
% 5.72/1.09 % (714562)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=2624271811: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)
% 5.72/1.09 % (714563)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=4228785961:i=879:kws=inv_precedence:fsr=off_2998 on theBenchmark for (2998ds/879Mi)
% 5.72/1.09 % (714549)Instruction limit reached!
% 5.72/1.09 % (714549)------------------------------
% 5.72/1.09 % (714549)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.72/1.09 % (714549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.72/1.09 % (714549)CaDiCaL version: 2.1.3
% 5.72/1.09 % (714549)Termination reason: Instruction limit
% 5.72/1.09 % (714549)Termination phase: Saturation
% 5.72/1.09 % (714549)Time elapsed: 0.181 s
% 5.72/1.09 % (714549)Peak memory usage: 16 MB
% 5.72/1.09 % (714549)Instructions burned: 686 (million)
% 5.72/1.09 % (714566)fmb+10_1_sil=64000:random_seed=1531090127:i=22061:nm=2:gsp=on_2997 on theBenchmark for (2997ds/22061Mi)
% 5.72/1.09 % (714566)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 5.72/1.09 % (714566)Terminated due to inappropriate strategy.
% 5.72/1.09 % (714566)------------------------------
% 5.72/1.09 % (714566)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.72/1.09 % (714566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.72/1.09 % (714566)CaDiCaL version: 2.1.3
% 5.72/1.09 % (714566)Termination reason: Inappropriate
% 5.72/1.09 % (714566)Time elapsed: 0.0000 s
% 5.72/1.09 % (714566)Peak memory usage: 10 MB
% 5.72/1.09 % (714566)------------------------------
% 5.72/1.09 % (714566)------------------------------
% 5.72/1.09 % (714568)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2897601081:i=9515:nm=5_2997 on theBenchmark for (2997ds/9515Mi)
% 5.72/1.09 % (714568)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 5.72/1.09 % (714568)Terminated due to inappropriate strategy.
% 5.72/1.09 % (714568)------------------------------
% 5.72/1.09 % (714568)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.72/1.09 % (714568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.72/1.09 % (714568)CaDiCaL version: 2.1.3
% 5.72/1.09 % (714568)Termination reason: Inappropriate
% 5.72/1.09 % (714568)Time elapsed: 0.0000 s
% 5.72/1.09 % (714568)Peak memory usage: 10 MB
% 5.72/1.09 % (714568)------------------------------
% 5.72/1.09 % (714568)------------------------------
% 5.72/1.09 % (714570)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=219764519:fmbsr=1.7:i=920_2997 on theBenchmark for (2997ds/920Mi)
% 5.72/1.09 % (714570)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 5.72/1.09 % (714570)Terminated due to inappropriate strategy.
% 5.72/1.09 % (714570)------------------------------
% 5.72/1.09 % (714570)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.72/1.09 % (714570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.72/1.09 % (714570)CaDiCaL version: 2.1.3
% 5.72/1.09 % (714570)Termination reason: Inappropriate
% 5.72/1.09 % (714570)Time elapsed: 0.0000 s
% 5.72/1.09 % (714570)Peak memory usage: 10 MB
% 5.72/1.09 % (714570)------------------------------
% 5.72/1.09 % (714570)------------------------------
% 5.72/1.09 % (714572)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=121821616:i=5131_2997 on theBenchmark for (2997ds/5131Mi)
% 5.72/1.09 % (714553)Instruction limit reached!
% 5.72/1.09 % (714553)------------------------------
% 5.72/1.09 % (714553)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.72/1.09 % (714553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.72/1.09 % (714553)CaDiCaL version: 2.1.3
% 5.72/1.09 % (714553)Termination reason: Instruction limit
% 5.72/1.09 % (714553)Termination phase: Saturation
% 5.72/1.09 % (714553)Time elapsed: 0.291 s
% 5.72/1.09 % (714553)Peak memory usage: 14 MB
% 5.72/1.09 % (714553)Instructions burned: 478 (million)
% 5.72/1.09 % (714574)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=543562881:i=1472:ins=7:fdi=8:gsp=on_2995 on theBenchmark for (2995ds/1472Mi)
% 5.72/1.09 % (714562)Instruction limit reached!
% 5.72/1.09 % (714562)------------------------------
% 5.72/1.09 % (714562)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.72/1.09 % (714562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.72/1.09 % (714562)CaDiCaL version: 2.1.3
% 5.72/1.09 % (714562)Termination reason: Instruction limit
% 5.72/1.09 % (714562)Termination phase: Saturation
% 5.72/1.09 % (714562)Time elapsed: 0.422 s
% 5.72/1.09 % (714562)Peak memory usage: 18 MB
% 5.72/1.09 % (714562)Instructions burned: 692 (million)
% 5.72/1.09 % (714576)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=4174836640:i=6324_2993 on theBenchmark for (2993ds/6324Mi)
% 5.72/1.09 % (714576)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 5.72/1.09 % (714576)Terminated due to inappropriate strategy.
% 5.72/1.09 % (714576)------------------------------
% 5.72/1.09 % (714576)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.72/1.09 % (714576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.72/1.09 % (714576)CaDiCaL version: 2.1.3
% 5.72/1.09 % (714576)Termination reason: Inappropriate
% 5.72/1.09 % (714576)Time elapsed: 0.0000 s
% 5.72/1.09 % (714576)Peak memory usage: 10 MB
% 5.72/1.09 % (714576)------------------------------
% 5.72/1.09 % (714576)------------------------------
% 5.72/1.09 % (714578)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3180963576:fmbsr=2.30978:i=2174_2993 on theBenchmark for (2993ds/2174Mi)
% 5.72/1.09 % (714578)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 5.72/1.09 % (714578)Terminated due to inappropriate strategy.
% 5.72/1.09 % (714578)------------------------------
% 5.72/1.09 % (714578)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.72/1.09 % (714578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.72/1.09 % (714578)CaDiCaL version: 2.1.3
% 5.72/1.09 % (714578)Termination reason: Inappropriate
% 5.72/1.09 % (714578)Time elapsed: 0.0000 s
% 5.72/1.09 % (714578)Peak memory usage: 10 MB
% 5.72/1.09 % (714578)------------------------------
% 5.72/1.09 % (714578)------------------------------
% 5.72/1.09 % (714580)ott-2_1_sil=16000:newcnf=on:random_seed=2433080346:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2993 on theBenchmark for (2993ds/869Mi)
% 5.72/1.09 % (714563)Instruction limit reached!
% 5.72/1.09 % (714563)------------------------------
% 5.72/1.09 % (714563)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.72/1.09 % (714563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.72/1.09 % (714563)CaDiCaL version: 2.1.3
% 5.72/1.09 % (714563)Termination reason: Instruction limit
% 5.72/1.09 % (714563)Termination phase: Saturation
% 5.72/1.09 % (714563)Time elapsed: 0.502 s
% 5.72/1.09 % (714563)Peak memory usage: 19 MB
% 5.72/1.09 % (714563)Instructions burned: 879 (million)
% 5.72/1.09 % (714582)ott+10_1_sil=32000:tgt=ground:random_seed=2618452167:i=5114:av=off_2992 on theBenchmark for (2992ds/5114Mi)
% 5.72/1.09 % (714582) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-714527-714582"...
% 5.72/1.09 % (714582)...printing done.
% 5.72/1.09 % (714582)Refutation found. Thanks to Tanya!
% 5.72/1.09 % SZS status Theorem for theBenchmark
% 5.72/1.09 % SZS output start Proof for theBenchmark
% 5.72/1.09 tff(func_def_0, type, f: $int > $int).
% 5.72/1.09 tff(func_def_6, type, sK0: $int).
% 5.72/1.09 tff(func_def_7, type, sF1: $int).
% 5.72/1.09 tff(func_def_8, type, sF2: $int).
% 5.72/1.09 tff(func_def_9, type, sF3: $int).
% 5.72/1.09 tff(func_def_10, type, sF4: $int).
% 5.72/1.09 tff(func_def_11, type, sF5: $int).
% 5.72/1.09 tff(f1,conjecture,(
% 5.72/1.09 ! [X0 : $int,X1 : $int] : ($less(X0,X1) => $less(f(X0),f(X1))) => ! [X2 : $int] : $greater(f($sum(f(X2),2)),$sum(f(f(X2)),1))),
% 5.72/1.09 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)).
% 5.72/1.09 tff(f2,negated_conjecture,(
% 5.72/1.09 ~(! [X0 : $int,X1 : $int] : ($less(X0,X1) => $less(f(X0),f(X1))) => ! [X2 : $int] : $greater(f($sum(f(X2),2)),$sum(f(f(X2)),1)))),
% 5.72/1.09 inference(negated_conjecture,[status(cth)],[f1])).
% 5.72/1.09 tff(f3,plain,(
% 5.72/1.09 ~(! [X0 : $int,X1 : $int] : ($less(X0,X1) => $less(f(X0),f(X1))) => ! [X2 : $int] : $less($sum(f(f(X2)),1),f($sum(f(X2),2))))),
% 5.72/1.09 inference(theory_normalization,[],[f2])).
% 5.72/1.09 tff(f4,definition,(
% 5.72/1.09 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 5.72/1.09 introduced(theory,[tha_commutativity])).
% 5.72/1.09 tff(f9,definition,(
% 5.72/1.09 ( ! [X0 : $int] : (~$less(X0,X0)) )),
% 5.72/1.09 introduced(theory,[tha_non-reflexivity])).
% 5.72/1.09 tff(f10,definition,(
% 5.72/1.09 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X1,X2) | ~$less(X0,X1) | $less(X0,X2)) )),
% 5.72/1.09 introduced(theory,[tha_transitivity])).
% 5.72/1.09 tff(f11,definition,(
% 5.72/1.09 ( ! [X0 : $int,X1 : $int] : ($less(X1,X0) | $less(X0,X1) | X0 = X1) )),
% 5.72/1.09 introduced(theory,[tha_order_totality])).
% 5.72/1.09 tff(f12,definition,(
% 5.72/1.09 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less($sum(X0,X2),$sum(X1,X2)) | ~$less(X0,X1)) )),
% 5.72/1.09 introduced(theory,[tha_order_monotonicity])).
% 5.72/1.09 tff(f13,definition,(
% 5.72/1.09 ( ! [X0 : $int,X1 : $int] : ($less(X1,$sum(X0,1)) | $less(X0,X1)) )),
% 5.72/1.09 introduced(theory,[tha_order_plus_one_dichotomy])).
% 5.72/1.09 tff(f15,definition,(
% 5.72/1.09 ( ! [X0 : $int,X1 : $int] : (~$less(X1,$sum(X0,1)) | ~$less(X0,X1)) )),
% 5.72/1.09 introduced(theory,[tha_extra_integer_ordering])).
% 5.72/1.09 tff(f16,plain,(
% 5.72/1.09 ? [X2 : $int] : ~$less($sum(f(f(X2)),1),f($sum(f(X2),2))) & ! [X0 : $int,X1 : $int] : ($less(f(X0),f(X1)) | ~$less(X0,X1))),
% 5.72/1.09 inference(ennf_transformation,[],[f3])).
% 5.72/1.09 tff(f17,plain,(
% 5.72/1.09 ? [X0 : $int] : ~$less($sum(f(f(X0)),1),f($sum(f(X0),2))) & ! [X1 : $int,X2 : $int] : ($less(f(X1),f(X2)) | ~$less(X1,X2))),
% 5.72/1.09 inference(rectify,[],[f16])).
% 5.72/1.09 tff(f18,plain,(
% 5.72/1.09 ~$less($sum(f(f(sK0)),1),f($sum(f(sK0),2))) & ! [X1 : $int,X2 : $int] : ($less(f(X1),f(X2)) | ~$less(X1,X2))),
% 5.72/1.09 inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f17])).
% 5.72/1.09 tff(f19,plain,(
% 5.72/1.09 ( ! [X2 : $int,X1 : $int] : ($less(f(X1),f(X2)) | ~$less(X1,X2)) )),
% 5.72/1.09 inference(cnf_transformation,[],[f18])).
% 5.72/1.09 tff(f20,plain,(
% 5.72/1.09 ~$less($sum(f(f(sK0)),1),f($sum(f(sK0),2)))),
% 5.72/1.09 inference(cnf_transformation,[],[f18])).
% 5.72/1.09 tff(f21,definition,(
% 5.72/1.09 sF1 = f(sK0)),
% 5.72/1.09 introduced(definition,[new_symbols(definition,[sF1])],[function_definition])).
% 5.72/1.09 tff(f22,plain,(
% 5.72/1.09 f(sK0) = sF1),
% 5.72/1.09 inference(reorient_equations,[],[f21])).
% 5.72/1.09 tff(f23,definition,(
% 5.72/1.09 sF2 = f(sF1)),
% 5.72/1.09 introduced(definition,[new_symbols(definition,[sF2])],[function_definition])).
% 5.72/1.09 tff(f24,plain,(
% 5.72/1.09 f(sF1) = sF2),
% 5.72/1.09 inference(reorient_equations,[],[f23])).
% 5.72/1.09 tff(f25,definition,(
% 5.72/1.09 sF3 = $sum(sF2,1)),
% 5.72/1.09 introduced(definition,[new_symbols(definition,[sF3])],[function_definition])).
% 5.72/1.09 tff(f26,plain,(
% 5.72/1.09 $sum(sF2,1) = sF3),
% 5.72/1.09 inference(reorient_equations,[],[f25])).
% 5.72/1.09 tff(f27,definition,(
% 5.72/1.09 sF4 = $sum(sF1,2)),
% 5.72/1.09 introduced(definition,[new_symbols(definition,[sF4])],[function_definition])).
% 5.72/1.09 tff(f28,plain,(
% 5.72/1.09 $sum(sF1,2) = sF4),
% 5.72/1.09 inference(reorient_equations,[],[f27])).
% 5.72/1.09 tff(f29,definition,(
% 5.72/1.09 sF5 = f(sF4)),
% 5.72/1.09 introduced(definition,[new_symbols(definition,[sF5])],[function_definition])).
% 5.72/1.09 tff(f30,plain,(
% 5.72/1.09 f(sF4) = sF5),
% 5.72/1.09 inference(reorient_equations,[],[f29])).
% 5.72/1.09 tff(f31,plain,(
% 5.72/1.09 ~$less(sF3,sF5)),
% 5.72/1.09 inference(definition_folding,[],[f20,f30,f28,f22,f26,f24,f22])).
% 5.72/1.09 tff(f32,plain,(
% 5.72/1.09 sF3 = $sum(1,sF2)),
% 5.72/1.09 inference(forward_demodulation,[],[f26,f4])).
% 5.72/1.09 tff(f33,plain,(
% 5.72/1.09 sF4 = $sum(2,sF1)),
% 5.72/1.09 inference(forward_demodulation,[],[f28,f4])).
% 5.72/1.09 tff(f40,plain,(
% 5.72/1.09 ( ! [X0 : $int] : ($less(sF2,f(X0)) | ~$less(sF1,X0)) )),
% 5.72/1.09 inference(superposition,[],[f19,f24])).
% 5.72/1.09 tff(f42,plain,(
% 5.72/1.09 ( ! [X0 : $int] : ($less(f(X0),sF5) | ~$less(X0,sF4)) )),
% 5.72/1.09 inference(superposition,[],[f19,f30])).
% 5.72/1.09 tff(f43,plain,(
% 5.72/1.09 ( ! [X0 : $int] : ($less(sF5,f(X0)) | ~$less(sF4,X0)) )),
% 5.72/1.09 inference(superposition,[],[f19,f30])).
% 5.72/1.09 tff(f58,plain,(
% 5.72/1.09 ~$less(sF1,sF4) | $less(sF2,sF5)),
% 5.72/1.09 inference(superposition,[],[f40,f30])).
% 5.72/1.09 tff(f59,plain,(
% 5.72/1.09 ( ! [X0 : $int] : ($less(X0,$sum(X0,1))) )),
% 5.72/1.09 inference(resolution,[],[f13,f9])).
% 5.72/1.09 tff(f61,plain,(
% 5.72/1.09 ( ! [X0 : $int,X1 : $int] : ($less(X1,$sum(1,X0)) | $less(X0,X1)) )),
% 5.72/1.09 inference(superposition,[],[f13,f4])).
% 5.72/1.09 tff(f64,plain,(
% 5.72/1.09 ( ! [X0 : $int,X1 : $int] : (~$less(X1,$sum(1,X0)) | ~$less(X0,X1)) )),
% 5.72/1.09 inference(superposition,[],[f15,f4])).
% 5.72/1.09 tff(f72,plain,(
% 5.72/1.09 ( ! [X0 : $int,X1 : $int] : (~$less(X0,f(X1)) | $less(X0,sF5) | ~$less(X1,sF4)) )),
% 5.72/1.09 inference(resolution,[],[f10,f42])).
% 5.72/1.09 tff(f120,plain,(
% 5.72/1.09 ( ! [X0 : $int] : ($less($sum(X0,sF1),sF4) | ~$less(X0,2)) )),
% 5.72/1.09 inference(superposition,[],[f12,f33])).
% 5.72/1.09 tff(f163,plain,(
% 5.72/1.09 ( ! [X0 : $int] : ($less(X0,$sum(1,X0))) )),
% 5.72/1.09 inference(superposition,[],[f59,f4])).
% 5.72/1.09 tff(f196,plain,(
% 5.72/1.09 ( ! [X0 : $int] : (~$less(sF2,X0) | ~$less(X0,sF3)) )),
% 5.72/1.09 inference(superposition,[],[f64,f32])).
% 5.72/1.09 tff(f1464,plain,(
% 5.72/1.09 ( ! [X0 : $int] : ($less(sF5,sF5) | ~$less(X0,sF4) | ~$less(sF4,X0)) )),
% 5.72/1.09 inference(resolution,[],[f72,f43])).
% 5.72/1.09 tff(f1468,plain,(
% 5.72/1.09 ( ! [X0 : $int] : (~$less(sF4,X0) | ~$less(X0,sF4)) )),
% 5.72/1.09 inference(forward_subsumption_resolution,[],[f1464,f9])).
% 5.72/1.09 tff(f1473,plain,(
% 5.72/1.09 ( ! [X0 : $int] : (~$less($sum(1,X0),sF4) | $less(X0,sF4)) )),
% 5.72/1.09 inference(resolution,[],[f1468,f61])).
% 5.72/1.09 tff(f1735,plain,(
% 5.72/1.09 $less(sF1,sF4) | ~$less(1,2)),
% 5.72/1.09 inference(resolution,[],[f1473,f120])).
% 5.72/1.09 tff(f1751,plain,(
% 5.72/1.09 $less(sF1,sF4)),
% 5.72/1.09 inference(evaluation,[],[f1735])).
% 5.72/1.09 tff(f1794,plain,(
% 5.72/1.09 $less(sF2,sF5)),
% 5.72/1.09 inference(resolution,[],[f1751,f58])).
% 5.72/1.09 tff(f2443,plain,(
% 5.72/1.09 ( ! [X0 : $int] : (~$less(f(X0),sF3) | ~$less(sF1,X0)) )),
% 5.72/1.09 inference(resolution,[],[f196,f40])).
% 5.72/1.09 tff(f2447,plain,(
% 5.72/1.09 ~$less(sF5,sF3)),
% 5.72/1.09 inference(resolution,[],[f196,f1794])).
% 5.72/1.09 tff(f2477,plain,(
% 5.72/1.09 $less(sF3,sF5) | sF3 = sF5),
% 5.72/1.09 inference(resolution,[],[f2447,f11])).
% 5.72/1.09 tff(f2478,plain,(
% 5.72/1.09 sF3 = sF5),
% 5.72/1.09 inference(forward_subsumption_resolution,[],[f2477,f31])).
% 5.72/1.09 tff(f2506,plain,(
% 5.72/1.09 ( ! [X0 : $int] : ($less(f(X0),sF3) | ~$less(X0,sF4)) )),
% 5.72/1.09 inference(superposition,[],[f42,f2478])).
% 5.72/1.09 tff(f3338,plain,(
% 5.72/1.09 ( ! [X0 : $int] : (~$less(sF1,X0) | ~$less(X0,sF4)) )),
% 5.72/1.09 inference(resolution,[],[f2506,f2443])).
% 5.72/1.09 tff(f3456,plain,(
% 5.72/1.09 ~$less($sum(1,sF1),sF4)),
% 5.72/1.09 inference(resolution,[],[f3338,f163])).
% 5.72/1.09 tff(f3616,plain,(
% 5.72/1.09 ~$less(1,2)),
% 5.72/1.09 inference(resolution,[],[f3456,f120])).
% 5.72/1.09 tff(f3619,plain,(
% 5.72/1.09 $false),
% 5.72/1.09 inference(evaluation,[],[f3616])).
% 5.72/1.09 % SZS output end Proof for theBenchmark
% 5.72/1.09 % (714582)------------------------------
% 5.72/1.09 % (714582)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.72/1.09 % (714582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.72/1.09 % (714582)CaDiCaL version: 2.1.3
% 5.72/1.09 % (714582)Termination reason: Refutation
% 5.72/1.09 % (714582)Time elapsed: 0.117 s
% 5.72/1.09 % (714582)Peak memory usage: 13 MB
% 5.72/1.09 % (714582)Instructions burned: 186 (million)
% 5.72/1.09 % (714527)Success in time 0.858 s
% 5.72/1.09 % Vampire exiting
%------------------------------------------------------------------------------