%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI120_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 : n015.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 09:34:05 AM UTC 2026
% Result : Theorem 3.76s 0.82s
% Output : Refutation 3.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI120_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n015.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 20:46:32 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 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
% 2.87/0.75 % (2985186)Will run a generic schedule for satisfiability detection.
% 2.87/0.75 % (2985201)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3061928161_2999 on theBenchmark for (2999ds/0Mi)
% 2.87/0.75 % (2985201)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 2.87/0.75 % (2985201)Terminated due to inappropriate strategy.
% 2.87/0.75 % (2985201)------------------------------
% 2.87/0.75 % (2985201)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.87/0.75 % (2985201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/0.75 % (2985201)CaDiCaL version: 2.1.3
% 2.87/0.75 % (2985201)Termination reason: Inappropriate
% 2.87/0.75 % (2985201)Time elapsed: 0.0000 s
% 2.87/0.75 % (2985201)Peak memory usage: 10 MB
% 2.87/0.75 % (2985201)------------------------------
% 2.87/0.75 % (2985201)------------------------------
% 2.87/0.75 % (2985202)% WARNING: option uhcvi not known.
% 2.87/0.75 % (2985202)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2962854959:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.87/0.75 % (2985205)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2945159467:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.87/0.75 % (2985206)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=454123988:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.87/0.75 % (2985204)dis+10_1_sil=32000:sp=arity:random_seed=106990170:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.87/0.75 % (2985207)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4233700757:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.87/0.75 % (2985203)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4925079:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.87/0.75 % (2985209)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1384114627:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.87/0.75 % (2985209)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 2.87/0.75 % (2985209)Terminated due to inappropriate strategy.
% 2.87/0.75 % (2985209)------------------------------
% 2.87/0.75 % (2985209)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.87/0.75 % (2985209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/0.75 % (2985209)CaDiCaL version: 2.1.3
% 2.87/0.75 % (2985209)Termination reason: Inappropriate
% 2.87/0.75 % (2985209)Time elapsed: 0.0000 s
% 2.87/0.75 % (2985209)Peak memory usage: 10 MB
% 2.87/0.75 % (2985209)------------------------------
% 2.87/0.75 % (2985209)------------------------------
% 2.87/0.75 % (2985219)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2160302069:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 2.87/0.75 % (2985204)Instruction limit reached!
% 2.87/0.75 % (2985204)------------------------------
% 2.87/0.75 % (2985204)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.87/0.75 % (2985204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/0.75 % (2985204)CaDiCaL version: 2.1.3
% 2.87/0.75 % (2985204)Termination reason: Instruction limit
% 2.87/0.75 % (2985204)Termination phase: Saturation
% 2.87/0.75 % (2985204)Time elapsed: 0.056 s
% 2.87/0.75 % (2985204)Peak memory usage: 12 MB
% 2.87/0.75 % (2985204)Instructions burned: 104 (million)
% 2.87/0.75 % (2985219)Instruction limit reached!
% 2.87/0.75 % (2985219)------------------------------
% 2.87/0.75 % (2985219)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.87/0.75 % (2985219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/0.75 % (2985219)CaDiCaL version: 2.1.3
% 2.87/0.75 % (2985219)Termination reason: Instruction limit
% 2.87/0.75 % (2985219)Termination phase: Saturation
% 2.87/0.75 % (2985219)Time elapsed: 0.040 s
% 2.87/0.75 % (2985219)Peak memory usage: 12 MB
% 2.87/0.75 % (2985219)Instructions burned: 131 (million)
% 2.87/0.75 % (2985205)Instruction limit reached!
% 2.87/0.75 % (2985205)------------------------------
% 2.87/0.75 % (2985205)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.87/0.75 % (2985205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/0.75 % (2985205)CaDiCaL version: 2.1.3
% 2.87/0.75 % (2985205)Termination reason: Instruction limit
% 2.87/0.75 % (2985205)Termination phase: Saturation
% 2.87/0.75 % (2985205)Time elapsed: 0.065 s
% 3.76/0.82 % (2985205)Peak memory usage: 12 MB
% 3.76/0.82 % (2985205)Instructions burned: 117 (million)
% 3.76/0.82 % (2985234)ott-21_1_sil=16000:fs=off:random_seed=1618680071:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 3.76/0.82 % (2985206)Instruction limit reached!
% 3.76/0.82 % (2985206)------------------------------
% 3.76/0.82 % (2985206)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.76/0.82 % (2985206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/0.82 % (2985206)CaDiCaL version: 2.1.3
% 3.76/0.82 % (2985206)Termination reason: Instruction limit
% 3.76/0.82 % (2985206)Termination phase: Saturation
% 3.76/0.82 % (2985206)Time elapsed: 0.079 s
% 3.76/0.82 % (2985206)Peak memory usage: 12 MB
% 3.76/0.82 % (2985206)Instructions burned: 136 (million)
% 3.76/0.82 % (2985232)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=2911501144:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 3.76/0.82 % (2985237)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3026439775:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 3.76/0.82 % (2985242)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3239219360:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 3.76/0.82 % (2985242)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 3.76/0.82 % (2985242)Terminated due to inappropriate strategy.
% 3.76/0.82 % (2985242)------------------------------
% 3.76/0.82 % (2985242)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.76/0.82 % (2985242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/0.82 % (2985242)CaDiCaL version: 2.1.3
% 3.76/0.82 % (2985242)Termination reason: Inappropriate
% 3.76/0.82 % (2985242)Time elapsed: 0.0000 s
% 3.76/0.82 % (2985242)Peak memory usage: 10 MB
% 3.76/0.82 % (2985242)------------------------------
% 3.76/0.82 % (2985242)------------------------------
% 3.76/0.82 % (2985207)Instruction limit reached!
% 3.76/0.82 % (2985207)------------------------------
% 3.76/0.82 % (2985207)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.76/0.82 % (2985207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/0.82 % (2985207)CaDiCaL version: 2.1.3
% 3.76/0.82 % (2985207)Termination reason: Instruction limit
% 3.76/0.82 % (2985207)Termination phase: Saturation
% 3.76/0.82 % (2985207)Time elapsed: 0.102 s
% 3.76/0.82 % (2985207)Peak memory usage: 13 MB
% 3.76/0.82 % (2985207)Instructions burned: 159 (million)
% 3.76/0.82 % (2985248)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3839827958:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 3.76/0.82 % (2985250)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2267430944:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 3.76/0.82 % (2985234)Instruction limit reached!
% 3.76/0.82 % (2985234)------------------------------
% 3.76/0.82 % (2985234)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.76/0.82 % (2985234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/0.82 % (2985234)CaDiCaL version: 2.1.3
% 3.76/0.82 % (2985234)Termination reason: Instruction limit
% 3.76/0.82 % (2985234)Termination phase: Saturation
% 3.76/0.82 % (2985234)Time elapsed: 0.051 s
% 3.76/0.82 % (2985234)Peak memory usage: 12 MB
% 3.76/0.82 % (2985234)Instructions burned: 180 (million)
% 3.76/0.82 % (2985250)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 3.76/0.82 % (2985250)Terminated due to inappropriate strategy.
% 3.76/0.82 % (2985250)------------------------------
% 3.76/0.82 % (2985250)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.76/0.82 % (2985250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/0.82 % (2985250)CaDiCaL version: 2.1.3
% 3.76/0.82 % (2985250)Termination reason: Inappropriate
% 3.76/0.82 % (2985250)Time elapsed: 0.0000 s
% 3.76/0.82 % (2985250)Peak memory usage: 10 MB
% 3.76/0.82 % (2985250)------------------------------
% 3.76/0.82 % (2985250)------------------------------
% 3.76/0.82 % (2985259)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=322966899:i=879:kws=inv_precedence:fsr=off_2998 on theBenchmark for (2998ds/879Mi)
% 3.76/0.82 % (2985258)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=211821618: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)
% 3.76/0.82 % (2985237)Instruction limit reached!
% 3.76/0.82 % (2985237)------------------------------
% 3.76/0.82 % (2985237)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.76/0.82 % (2985237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/0.82 % (2985237)CaDiCaL version: 2.1.3
% 3.76/0.82 % (2985237)Termination reason: Instruction limit
% 3.76/0.82 % (2985237)Termination phase: Saturation
% 3.76/0.82 % (2985237)Time elapsed: 0.243 s
% 3.76/0.82 % (2985237)Peak memory usage: 15 MB
% 3.76/0.82 % (2985237)Instructions burned: 477 (million)
% 3.76/0.82 % (2985262)fmb+10_1_sil=64000:random_seed=669791357:i=22061:nm=2:gsp=on_2996 on theBenchmark for (2996ds/22061Mi)
% 3.76/0.82 % (2985262)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 3.76/0.82 % (2985262)Terminated due to inappropriate strategy.
% 3.76/0.82 % (2985262)------------------------------
% 3.76/0.82 % (2985262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.76/0.82 % (2985262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/0.82 % (2985262)CaDiCaL version: 2.1.3
% 3.76/0.82 % (2985262)Termination reason: Inappropriate
% 3.76/0.82 % (2985262)Time elapsed: 0.0000 s
% 3.76/0.82 % (2985262)Peak memory usage: 10 MB
% 3.76/0.82 % (2985262)------------------------------
% 3.76/0.82 % (2985262)------------------------------
% 3.76/0.82 % (2985264)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2975334097:i=9515:nm=5_2996 on theBenchmark for (2996ds/9515Mi)
% 3.76/0.82 % (2985264)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 3.76/0.82 % (2985264)Terminated due to inappropriate strategy.
% 3.76/0.82 % (2985264)------------------------------
% 3.76/0.82 % (2985264)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.76/0.82 % (2985264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/0.82 % (2985264)CaDiCaL version: 2.1.3
% 3.76/0.82 % (2985264)Termination reason: Inappropriate
% 3.76/0.82 % (2985264)Time elapsed: 0.0000 s
% 3.76/0.82 % (2985264)Peak memory usage: 10 MB
% 3.76/0.82 % (2985264)------------------------------
% 3.76/0.82 % (2985264)------------------------------
% 3.76/0.82 % (2985266)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2433716604:fmbsr=1.7:i=920_2995 on theBenchmark for (2995ds/920Mi)
% 3.76/0.82 % (2985266)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 3.76/0.82 % (2985266)Terminated due to inappropriate strategy.
% 3.76/0.82 % (2985266)------------------------------
% 3.76/0.82 % (2985266)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.76/0.82 % (2985266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/0.82 % (2985266)CaDiCaL version: 2.1.3
% 3.76/0.82 % (2985266)Termination reason: Inappropriate
% 3.76/0.82 % (2985266)Time elapsed: 0.0000 s
% 3.76/0.82 % (2985266)Peak memory usage: 10 MB
% 3.76/0.82 % (2985266)------------------------------
% 3.76/0.82 % (2985266)------------------------------
% 3.76/0.82 % (2985268)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2029613724:i=5131_2995 on theBenchmark for (2995ds/5131Mi)
% 3.76/0.82 % (2985232)Instruction limit reached!
% 3.76/0.82 % (2985232)------------------------------
% 3.76/0.82 % (2985232)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.76/0.82 % (2985232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/0.82 % (2985232)CaDiCaL version: 2.1.3
% 3.76/0.82 % (2985232)Termination reason: Instruction limit
% 3.76/0.82 % (2985232)Termination phase: Saturation
% 3.76/0.82 % (2985232)Time elapsed: 0.347 s
% 3.76/0.82 % (2985232)Peak memory usage: 14 MB
% 3.76/0.82 % (2985232)Instructions burned: 685 (million)
% 3.76/0.82 % (2985270)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=559952395:i=1472:ins=7:fdi=8:gsp=on_2995 on theBenchmark for (2995ds/1472Mi)
% 3.76/0.82 % (2985258)Instruction limit reached!
% 3.76/0.82 % (2985258)------------------------------
% 3.76/0.82 % (2985258)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.76/0.82 % (2985258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/0.82 % (2985258)CaDiCaL version: 2.1.3
% 3.76/0.82 % (2985258)Termination reason: Instruction limit
% 3.76/0.82 % (2985258)Termination phase: Saturation
% 3.76/0.82 % (2985258)Time elapsed: 0.322 s
% 3.76/0.82 % (2985258)Peak memory usage: 14 MB
% 3.76/0.82 % (2985258)Instructions burned: 694 (million)
% 3.76/0.82 % (2985272)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3099311208:i=6324_2994 on theBenchmark for (2994ds/6324Mi)
% 3.76/0.82 % (2985272)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 3.76/0.82 % (2985272)Terminated due to inappropriate strategy.
% 3.76/0.82 % (2985272)------------------------------
% 3.76/0.82 % (2985272)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.76/0.82 % (2985272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/0.82 % (2985272)CaDiCaL version: 2.1.3
% 3.76/0.82 % (2985272)Termination reason: Inappropriate
% 3.76/0.82 % (2985272)Time elapsed: 0.001 s
% 3.76/0.82 % (2985272)Peak memory usage: 11 MB
% 3.76/0.82 % (2985272)------------------------------
% 3.76/0.82 % (2985272)------------------------------
% 3.76/0.82 % (2985282)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=735308199:fmbsr=2.30978:i=2174_2994 on theBenchmark for (2994ds/2174Mi)
% 3.76/0.82 % (2985282)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 3.76/0.82 % (2985282)Terminated due to inappropriate strategy.
% 3.76/0.82 % (2985282)------------------------------
% 3.76/0.82 % (2985282)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.76/0.82 % (2985282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/0.82 % (2985282)CaDiCaL version: 2.1.3
% 3.76/0.82 % (2985282)Termination reason: Inappropriate
% 3.76/0.82 % (2985282)Time elapsed: 0.0000 s
% 3.76/0.82 % (2985282)Peak memory usage: 10 MB
% 3.76/0.82 % (2985282)------------------------------
% 3.76/0.82 % (2985282)------------------------------
% 3.76/0.82 % (2985284)ott-2_1_sil=16000:newcnf=on:random_seed=441216419:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2994 on theBenchmark for (2994ds/869Mi)
% 3.76/0.82 % (2985248) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2985186-2985248"...
% 3.76/0.82 % (2985248)...printing done.
% 3.76/0.82 % (2985248)Refutation found. Thanks to Tanya!
% 3.76/0.82 % SZS status Theorem for theBenchmark
% 3.76/0.82 % SZS output start Proof for theBenchmark
% 3.76/0.82 tff(func_def_7, type, sF0: $int > $int).
% 3.76/0.82 tff(pred_def_1, type, p: $int > $o).
% 3.76/0.82 tff(f1,conjecture,(
% 3.76/0.82 p(2) => ? [X0 : $int,X1 : $int] : (p(X0) & X0 != X1 & $product(X1,X1) = 4)),
% 3.76/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_X_X_4_predicate)).
% 3.76/0.82 tff(f2,negated_conjecture,(
% 3.76/0.82 ~(p(2) => ? [X0 : $int,X1 : $int] : (p(X0) & X0 != X1 & $product(X1,X1) = 4))),
% 3.76/0.82 inference(negated_conjecture,[status(cth)],[f1])).
% 3.76/0.82 tff(f3,definition,(
% 3.76/0.82 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 3.76/0.82 introduced(theory,[tha_commutativity])).
% 3.76/0.82 tff(f4,definition,(
% 3.76/0.82 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 3.76/0.82 introduced(theory,[tha_associativity])).
% 3.76/0.82 tff(f7,definition,(
% 3.76/0.82 ( ! [X0 : $int] : (0 = $sum(X0,$uminus(X0))) )),
% 3.76/0.82 introduced(theory,[tha_inverse_op_unit])).
% 3.76/0.82 tff(f14,definition,(
% 3.76/0.82 ( ! [X0 : $int,X1 : $int] : ($product(X0,X1) = $product(X1,X0)) )),
% 3.76/0.82 introduced(theory,[tha_commutativity])).
% 3.76/0.82 tff(f15,definition,(
% 3.76/0.82 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$product(X1,X2)) = $product($product(X0,X1),X2)) )),
% 3.76/0.82 introduced(theory,[tha_associativity])).
% 3.76/0.82 tff(f16,definition,(
% 3.76/0.82 ( ! [X0 : $int] : ($product(X0,1) = X0) )),
% 3.76/0.82 introduced(theory,[tha_right_identity])).
% 3.76/0.82 tff(f18,definition,(
% 3.76/0.82 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2))) )),
% 3.76/0.82 introduced(theory,[tha_distributivity])).
% 3.76/0.82 tff(f21,plain,(
% 3.76/0.82 ! [X0 : $int,X1 : $int] : (~p(X0) | X0 = X1 | $product(X1,X1) != 4) & p(2)),
% 3.76/0.82 inference(ennf_transformation,[],[f2])).
% 3.76/0.82 tff(f22,plain,(
% 3.76/0.82 p(2)),
% 3.76/0.82 inference(cnf_transformation,[],[f21])).
% 3.76/0.82 tff(f23,plain,(
% 3.76/0.82 ( ! [X0 : $int,X1 : $int] : (~p(X0) | X0 = X1 | $product(X1,X1) != 4) )),
% 3.76/0.82 inference(cnf_transformation,[],[f21])).
% 3.76/0.82 tff(f25,definition,(
% 3.76/0.82 ( ! [X1 : $int] : (sF0(X1) = $product(X1,X1)) )),
% 3.76/0.82 introduced(definition,[new_symbols(definition,[sF0])],[function_definition])).
% 3.76/0.82 tff(f26,plain,(
% 3.76/0.82 ( ! [X1 : $int] : ($product(X1,X1) = sF0(X1)) )),
% 3.76/0.82 inference(reorient_equations,[],[f25])).
% 3.76/0.82 tff(f27,plain,(
% 3.76/0.82 ( ! [X0 : $int,X1 : $int] : (4 != sF0(X1) | X0 = X1 | ~p(X0)) )),
% 3.76/0.82 inference(definition_folding,[],[f23,f26])).
% 3.76/0.82 tff(f30,plain,(
% 3.76/0.82 ( ! [X0 : $int,X1 : $int] : (4 != $product(X0,X0) | X0 = X1 | ~p(X1)) )),
% 3.76/0.82 inference(superposition,[],[f27,f26])).
% 3.76/0.82 tff(f108,plain,(
% 3.76/0.82 ( ! [X0 : $int,X1 : $int] : ($sum(0,X1) = $sum(X0,$sum($uminus(X0),X1))) )),
% 3.76/0.82 inference(superposition,[],[f4,f7])).
% 3.76/0.82 tff(f110,plain,(
% 3.76/0.82 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum($sum(X0,X1),X2) = $sum(X1,$sum(X0,X2))) )),
% 3.76/0.82 inference(superposition,[],[f4,f3])).
% 3.76/0.82 tff(f126,plain,(
% 3.76/0.82 ( ! [X0 : $int,X1 : $int] : ($sum(X0,$sum($uminus(X0),X1)) = X1) )),
% 3.76/0.82 inference(evaluation,[],[f108])).
% 3.76/0.82 tff(f157,plain,(
% 3.76/0.82 ( ! [X2 : $int,X0 : $int,X1 : $int] : (4 != $product(X0,$product(X1,$product(X0,X1))) | $product(X0,X1) = X2 | ~p(X2)) )),
% 3.76/0.82 inference(superposition,[],[f30,f15])).
% 3.76/0.82 tff(f159,plain,(
% 3.76/0.82 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$product(X1,X2)) = $product(X2,$product(X0,X1))) )),
% 3.76/0.82 inference(superposition,[],[f14,f15])).
% 3.76/0.82 tff(f175,plain,(
% 3.76/0.82 ( ! [X0 : $int,X1 : $int] : ($product(X0,$sum(1,X1)) = $sum(X0,$product(X0,X1))) )),
% 3.76/0.82 inference(superposition,[],[f18,f16])).
% 3.76/0.82 tff(f249,plain,(
% 3.76/0.82 ( ! [X0 : $int,X1 : $int] : ($sum(X1,$sum(X0,$uminus(X1))) = X0) )),
% 3.76/0.82 inference(superposition,[],[f126,f3])).
% 3.76/0.82 tff(f1367,plain,(
% 3.76/0.82 ( ! [X2 : $int,X0 : $int,X1 : $int] : (4 != $product(X1,$product(X0,$product(X0,X1))) | $product(X1,X0) = X2 | ~p(X2)) )),
% 3.76/0.82 inference(superposition,[],[f157,f159])).
% 3.76/0.82 tff(f1679,plain,(
% 3.76/0.82 ( ! [X0 : $int] : ($product(X0,$sum(1,1)) = $sum(X0,X0)) )),
% 3.76/0.82 inference(superposition,[],[f175,f16])).
% 3.76/0.82 tff(f1710,plain,(
% 3.76/0.82 ( ! [X2 : $int,X0 : $int,X1 : $int] : (4 != $product($sum(1,X1),$product(X0,$sum(X0,$product(X0,X1)))) | $product($sum(1,X1),X0) = X2 | ~p(X2)) )),
% 3.76/0.82 inference(superposition,[],[f1367,f175])).
% 3.76/0.82 tff(f1732,plain,(
% 3.76/0.82 ( ! [X0 : $int] : ($sum(X0,X0) = $product(X0,2)) )),
% 3.76/0.82 inference(evaluation,[],[f1679])).
% 3.76/0.82 tff(f5097,plain,(
% 3.76/0.82 ( ! [X2 : $int,X0 : $int,X1 : $int] : (4 != $product(X0,$product(X1,$sum(X1,$product(X1,$sum(X0,$uminus(1)))))) | $product(X0,X1) = X2 | ~p(X2)) )),
% 3.76/0.82 inference(superposition,[],[f1710,f249])).
% 3.76/0.82 tff(f5109,plain,(
% 3.76/0.82 ( ! [X2 : $int,X0 : $int,X1 : $int] : (4 != $product(X0,$product(X1,$sum(X1,$product(X1,$sum(X0,-1))))) | $product(X0,X1) = X2 | ~p(X2)) )),
% 3.76/0.82 inference(evaluation,[],[f5097])).
% 3.76/0.82 tff(f5400,plain,(
% 3.76/0.82 ( ! [X2 : $int,X0 : $int,X1 : $int] : (4 != $product(X0,$product(X1,$sum(X1,$product($sum(X0,-1),X1)))) | $product(X0,X1) = X2 | ~p(X2)) )),
% 3.76/0.82 inference(superposition,[],[f5109,f14])).
% 3.76/0.82 tff(f5893,plain,(
% 3.76/0.82 ( ! [X0 : $int,X1 : $int] : (4 != $product(X0,$product(1,$sum(1,$sum(X0,-1)))) | $product(X0,1) = X1 | ~p(X1)) )),
% 3.76/0.82 inference(superposition,[],[f5400,f16])).
% 3.76/0.82 tff(f5908,plain,(
% 3.76/0.82 ( ! [X0 : $int,X1 : $int] : (4 != $product(X0,$sum(1,$sum(X0,-1))) | X0 = X1 | ~p(X1)) )),
% 3.76/0.82 inference(evaluation,[],[f5893])).
% 3.76/0.82 tff(f5993,plain,(
% 3.76/0.82 ( ! [X2 : $int,X0 : $int,X1 : $int] : (4 != $product($sum(X1,X0),$sum(1,$sum(X0,$sum(X1,-1)))) | $sum(X1,X0) = X2 | ~p(X2)) )),
% 3.76/0.82 inference(superposition,[],[f5908,f110])).
% 3.76/0.82 tff(f9461,plain,(
% 3.76/0.82 ( ! [X0 : $int,X1 : $int] : (4 != $product($sum(-1,X0),$sum(1,$sum(X0,$product(-1,2)))) | $sum(-1,X0) = X1 | ~p(X1)) )),
% 3.76/0.82 inference(superposition,[],[f5993,f1732])).
% 3.76/0.82 tff(f9491,plain,(
% 3.76/0.82 ( ! [X0 : $int,X1 : $int] : (4 != $product($sum(-1,X0),$sum(1,$sum(X0,-2))) | $sum(-1,X0) = X1 | ~p(X1)) )),
% 3.76/0.82 inference(evaluation,[],[f9461])).
% 3.76/0.82 tff(f10174,plain,(
% 3.76/0.82 ( ! [X0 : $int] : (4 != $product($sum(-1,$uminus(1)),-2) | $sum(-1,$uminus(1)) = X0 | ~p(X0)) )),
% 3.76/0.82 inference(superposition,[],[f9491,f126])).
% 3.76/0.82 tff(f10188,plain,(
% 3.76/0.82 ( ! [X0 : $int] : (~p(X0) | -2 = X0) )),
% 3.76/0.82 inference(evaluation,[],[f10174])).
% 3.76/0.82 tff(f11062,plain,(
% 3.76/0.82 2 = -2),
% 3.76/0.82 inference(resolution,[],[f10188,f22])).
% 3.76/0.82 tff(f11063,plain,(
% 3.76/0.82 $false),
% 3.76/0.82 inference(evaluation,[],[f11062])).
% 3.76/0.82 % SZS output end Proof for theBenchmark
% 3.76/0.82 % (2985248)------------------------------
% 3.76/0.82 % (2985248)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.76/0.82 % (2985248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/0.82 % (2985248)CaDiCaL version: 2.1.3
% 3.76/0.82 % (2985248)Termination reason: Refutation
% 3.76/0.82 % (2985248)Time elapsed: 0.417 s
% 3.76/0.82 % (2985248)Peak memory usage: 16 MB
% 3.76/0.82 % (2985248)Instructions burned: 714 (million)
% 3.76/0.82 % (2985186)Success in time 0.588 s
% 3.76/0.82 % Vampire exiting
%------------------------------------------------------------------------------