%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI695_1 : TPTP v9.3.1. Released v6.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:35:05 AM UTC 2026
% Result : Theorem 110.13s 15.87s
% Output : Refutation 110.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI695_1 : TPTP v9.3.1. Released v6.3.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.23 % Computer : n011.cluster.edu
% 0.10/0.23 % Model : x86_64 x86_64
% 0.10/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.23 % Memory : 8046.5625MB
% 0.10/0.23 % OS : Linux 6.8.0-71-generic
% 0.10/0.23 % CPULimit : 300
% 0.10/0.23 % WCLimit : 300
% 0.10/0.23 % DateTime : Mon Sep 28 20:58:01 UTC 2026
% 0.10/0.24 % CPUTime :
% 0.10/0.24 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.24/0.28 Running first-order model finding
% 0.24/0.28 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
% 5.45/1.13 % (3780058)Will run a generic schedule for satisfiability detection.
% 5.45/1.13 % (3780064)% WARNING: option uhcvi not known.
% 5.45/1.13 % (3780066)dis+10_1_sil=32000:sp=arity:random_seed=632518228:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 5.45/1.13 % (3780064)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=672486298:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 5.45/1.13 % (3780068)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4125214347:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 5.45/1.13 % (3780065)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=904860698:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 5.45/1.13 % (3780063)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1203074716_3000 on theBenchmark for (3000ds/0Mi)
% 5.45/1.13 % (3780067)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3533835405:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 5.45/1.13 % (3780069)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=717853501:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 5.45/1.13 % (3780063)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 5.45/1.13 % (3780063)Terminated due to inappropriate strategy.
% 5.45/1.13 % (3780063)------------------------------
% 5.45/1.13 % (3780063)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.45/1.13 % (3780063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.13 % (3780063)CaDiCaL version: 2.1.3
% 5.45/1.13 % (3780063)Termination reason: Inappropriate
% 5.45/1.13 % (3780063)Time elapsed: 0.001 s
% 5.45/1.13 % (3780063)Peak memory usage: 10 MB
% 5.45/1.13 % (3780063)------------------------------
% 5.45/1.13 % (3780063)------------------------------
% 5.45/1.13 % (3780077)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2883188921:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 5.45/1.13 % (3780077)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 5.45/1.13 % (3780077)Terminated due to inappropriate strategy.
% 5.45/1.13 % (3780077)------------------------------
% 5.45/1.13 % (3780077)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.45/1.13 % (3780077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.13 % (3780077)CaDiCaL version: 2.1.3
% 5.45/1.13 % (3780077)Termination reason: Inappropriate
% 5.45/1.13 % (3780077)Time elapsed: 0.001 s
% 5.45/1.13 % (3780077)Peak memory usage: 10 MB
% 5.45/1.13 % (3780077)------------------------------
% 5.45/1.13 % (3780077)------------------------------
% 5.45/1.13 % (3780066)Instruction limit reached!
% 5.45/1.13 % (3780066)------------------------------
% 5.45/1.13 % (3780066)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.45/1.13 % (3780066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.13 % (3780066)CaDiCaL version: 2.1.3
% 5.45/1.13 % (3780066)Termination reason: Instruction limit
% 5.45/1.13 % (3780066)Termination phase: Saturation
% 5.45/1.13 % (3780066)Time elapsed: 0.054 s
% 5.45/1.13 % (3780066)Peak memory usage: 12 MB
% 5.45/1.13 % (3780066)Instructions burned: 104 (million)
% 5.45/1.13 % (3780079)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2033715876:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 5.45/1.13 % (3780080)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=3449967308:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 5.45/1.13 % (3780067)Instruction limit reached!
% 5.45/1.13 % (3780067)------------------------------
% 5.45/1.13 % (3780067)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.45/1.13 % (3780067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.13 % (3780067)CaDiCaL version: 2.1.3
% 5.45/1.13 % (3780067)Termination reason: Instruction limit
% 5.45/1.13 % (3780067)Termination phase: Saturation
% 5.45/1.13 % (3780067)Time elapsed: 0.114 s
% 5.45/1.13 % (3780067)Peak memory usage: 12 MB
% 5.45/1.13 % (3780067)Instructions burned: 116 (million)
% 5.45/1.13 % (3780068)Instruction limit reached!
% 5.45/1.13 % (3780068)------------------------------
% 5.45/1.13 % (3780068)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.45/1.13 % (3780068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.93/1.65 % (3780068)CaDiCaL version: 2.1.3
% 7.93/1.65 % (3780068)Termination reason: Instruction limit
% 7.93/1.65 % (3780068)Termination phase: Saturation
% 7.93/1.65 % (3780068)Time elapsed: 0.127 s
% 7.93/1.65 % (3780068)Peak memory usage: 13 MB
% 7.93/1.65 % (3780068)Instructions burned: 131 (million)
% 7.93/1.65 % (3780083)ott-21_1_sil=16000:fs=off:random_seed=178762840:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.93/1.65 % (3780079)Instruction limit reached!
% 7.93/1.65 % (3780079)------------------------------
% 7.93/1.65 % (3780079)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.93/1.65 % (3780079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.93/1.65 % (3780079)CaDiCaL version: 2.1.3
% 7.93/1.65 % (3780079)Termination reason: Instruction limit
% 7.93/1.65 % (3780079)Termination phase: Saturation
% 7.93/1.65 % (3780079)Time elapsed: 0.089 s
% 7.93/1.65 % (3780079)Peak memory usage: 12 MB
% 7.93/1.65 % (3780079)Instructions burned: 132 (million)
% 7.93/1.65 % (3780069)Instruction limit reached!
% 7.93/1.65 % (3780069)------------------------------
% 7.93/1.65 % (3780069)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.93/1.65 % (3780069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.93/1.65 % (3780069)CaDiCaL version: 2.1.3
% 7.93/1.65 % (3780069)Termination reason: Instruction limit
% 7.93/1.65 % (3780069)Termination phase: Saturation
% 7.93/1.65 % (3780069)Time elapsed: 0.158 s
% 7.93/1.65 % (3780069)Peak memory usage: 12 MB
% 7.93/1.65 % (3780069)Instructions burned: 159 (million)
% 7.93/1.65 % (3780084)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=784887880:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 7.93/1.65 % (3780086)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3783180784:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 7.93/1.65 % (3780086)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 7.93/1.65 % (3780086)Terminated due to inappropriate strategy.
% 7.93/1.65 % (3780086)------------------------------
% 7.93/1.65 % (3780086)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.93/1.65 % (3780086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.93/1.65 % (3780086)CaDiCaL version: 2.1.3
% 7.93/1.65 % (3780086)Termination reason: Inappropriate
% 7.93/1.65 % (3780086)Time elapsed: 0.0000 s
% 7.93/1.65 % (3780086)Peak memory usage: 10 MB
% 7.93/1.65 % (3780086)------------------------------
% 7.93/1.65 % (3780086)------------------------------
% 7.93/1.65 % (3780088)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2355046269:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 7.93/1.65 % (3780090)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1705034363:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 7.93/1.65 % (3780090)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 7.93/1.65 % (3780090)Terminated due to inappropriate strategy.
% 7.93/1.65 % (3780090)------------------------------
% 7.93/1.65 % (3780090)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.93/1.65 % (3780090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.93/1.65 % (3780090)CaDiCaL version: 2.1.3
% 7.93/1.65 % (3780090)Termination reason: Inappropriate
% 7.93/1.65 % (3780090)Time elapsed: 0.0000 s
% 7.93/1.65 % (3780090)Peak memory usage: 10 MB
% 7.93/1.65 % (3780090)------------------------------
% 7.93/1.65 % (3780090)------------------------------
% 7.93/1.65 % (3780093)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=3857703041:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 7.93/1.65 % (3780083)Instruction limit reached!
% 7.93/1.65 % (3780083)------------------------------
% 7.93/1.65 % (3780083)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.93/1.65 % (3780083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.93/1.65 % (3780083)CaDiCaL version: 2.1.3
% 7.93/1.65 % (3780083)Termination reason: Instruction limit
% 7.93/1.65 % (3780083)Termination phase: Saturation
% 7.93/1.65 % (3780083)Time elapsed: 0.147 s
% 7.93/1.65 % (3780083)Peak memory usage: 11 MB
% 7.93/1.65 % (3780083)Instructions burned: 180 (million)
% 7.93/1.65 % (3780095)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3215160164:i=879:kws=inv_precedence:fsr=off_2996 on theBenchmark for (2996ds/879Mi)
% 36.97/5.59 % (3780084)Instruction limit reached!
% 36.97/5.59 % (3780084)------------------------------
% 36.97/5.59 % (3780084)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.97/5.59 % (3780084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.97/5.59 % (3780084)CaDiCaL version: 2.1.3
% 36.97/5.59 % (3780084)Termination reason: Instruction limit
% 36.97/5.59 % (3780084)Termination phase: Saturation
% 36.97/5.59 % (3780084)Time elapsed: 0.463 s
% 36.97/5.59 % (3780084)Peak memory usage: 14 MB
% 36.97/5.59 % (3780084)Instructions burned: 477 (million)
% 36.97/5.59 % (3780080)Instruction limit reached!
% 36.97/5.59 % (3780080)------------------------------
% 36.97/5.59 % (3780080)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.97/5.59 % (3780080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.97/5.59 % (3780080)CaDiCaL version: 2.1.3
% 36.97/5.59 % (3780080)Termination reason: Instruction limit
% 36.97/5.59 % (3780080)Termination phase: Saturation
% 36.97/5.59 % (3780080)Time elapsed: 0.570 s
% 36.97/5.59 % (3780080)Peak memory usage: 14 MB
% 36.97/5.59 % (3780080)Instructions burned: 685 (million)
% 36.97/5.59 % (3780097)fmb+10_1_sil=64000:random_seed=1313664550:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 36.97/5.59 % (3780097)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 36.97/5.59 % (3780097)Terminated due to inappropriate strategy.
% 36.97/5.59 % (3780097)------------------------------
% 36.97/5.59 % (3780097)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.97/5.59 % (3780097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.97/5.59 % (3780097)CaDiCaL version: 2.1.3
% 36.97/5.59 % (3780097)Termination reason: Inappropriate
% 36.97/5.59 % (3780097)Time elapsed: 0.001 s
% 36.97/5.59 % (3780097)Peak memory usage: 10 MB
% 36.97/5.59 % (3780097)------------------------------
% 36.97/5.59 % (3780097)------------------------------
% 36.97/5.59 % (3780100)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=706615822:fmbsr=1.7:i=920_2993 on theBenchmark for (2993ds/920Mi)
% 36.97/5.59 % (3780100)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 36.97/5.59 % (3780100)Terminated due to inappropriate strategy.
% 36.97/5.59 % (3780100)------------------------------
% 36.97/5.59 % (3780100)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.97/5.59 % (3780100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.97/5.59 % (3780100)CaDiCaL version: 2.1.3
% 36.97/5.59 % (3780100)Termination reason: Inappropriate
% 36.97/5.59 % (3780100)Time elapsed: 0.001 s
% 36.97/5.59 % (3780100)Peak memory usage: 10 MB
% 36.97/5.59 % (3780100)------------------------------
% 36.97/5.59 % (3780100)------------------------------
% 36.97/5.59 % (3780098)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1435167463:i=9515:nm=5_2993 on theBenchmark for (2993ds/9515Mi)
% 36.97/5.59 % (3780098)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 36.97/5.59 % (3780098)Terminated due to inappropriate strategy.
% 36.97/5.59 % (3780098)------------------------------
% 36.97/5.59 % (3780098)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.97/5.59 % (3780098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.97/5.59 % (3780098)CaDiCaL version: 2.1.3
% 36.97/5.59 % (3780098)Termination reason: Inappropriate
% 36.97/5.59 % (3780098)Time elapsed: 0.001 s
% 36.97/5.59 % (3780098)Peak memory usage: 10 MB
% 36.97/5.59 % (3780098)------------------------------
% 36.97/5.59 % (3780098)------------------------------
% 36.97/5.59 % (3780102)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=966699567:i=5131_2992 on theBenchmark for (2992ds/5131Mi)
% 36.97/5.59 % (3780104)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3383429830:i=1472:ins=7:fdi=8:gsp=on_2992 on theBenchmark for (2992ds/1472Mi)
% 36.97/5.59 % (3780088)Instruction limit reached!
% 36.97/5.59 % (3780088)------------------------------
% 36.97/5.59 % (3780088)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.97/5.59 % (3780088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.97/5.59 % (3780088)CaDiCaL version: 2.1.3
% 36.97/5.59 % (3780088)Termination reason: Instruction limit
% 66.12/9.62 % (3780088)Termination phase: Saturation
% 66.12/9.62 % (3780088)Time elapsed: 0.617 s
% 66.12/9.62 % (3780088)Peak memory usage: 18 MB
% 66.12/9.62 % (3780088)Instructions burned: 1180 (million)
% 66.12/9.62 % (3780107)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=216230429:i=6324_2991 on theBenchmark for (2991ds/6324Mi)
% 66.12/9.62 % (3780107)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 66.12/9.62 % (3780107)Terminated due to inappropriate strategy.
% 66.12/9.62 % (3780107)------------------------------
% 66.12/9.62 % (3780107)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.12/9.62 % (3780107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.12/9.62 % (3780107)CaDiCaL version: 2.1.3
% 66.12/9.62 % (3780107)Termination reason: Inappropriate
% 66.12/9.62 % (3780107)Time elapsed: 0.001 s
% 66.12/9.62 % (3780107)Peak memory usage: 10 MB
% 66.12/9.62 % (3780107)------------------------------
% 66.12/9.62 % (3780107)------------------------------
% 66.12/9.62 % (3780109)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=989677425:fmbsr=2.30978:i=2174_2991 on theBenchmark for (2991ds/2174Mi)
% 66.12/9.62 % (3780109)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 66.12/9.62 % (3780109)Terminated due to inappropriate strategy.
% 66.12/9.62 % (3780109)------------------------------
% 66.12/9.62 % (3780109)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.12/9.62 % (3780109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.12/9.62 % (3780109)CaDiCaL version: 2.1.3
% 66.12/9.62 % (3780109)Termination reason: Inappropriate
% 66.12/9.62 % (3780109)Time elapsed: 0.001 s
% 66.12/9.62 % (3780109)Peak memory usage: 10 MB
% 66.12/9.62 % (3780109)------------------------------
% 66.12/9.62 % (3780109)------------------------------
% 66.12/9.62 % (3780111)ott-2_1_sil=16000:newcnf=on:random_seed=3417888269:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2991 on theBenchmark for (2991ds/869Mi)
% 66.12/9.62 % (3780093)Instruction limit reached!
% 66.12/9.62 % (3780093)------------------------------
% 66.12/9.62 % (3780093)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.12/9.62 % (3780093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.12/9.62 % (3780093)CaDiCaL version: 2.1.3
% 66.12/9.62 % (3780093)Termination reason: Instruction limit
% 66.12/9.62 % (3780093)Termination phase: Saturation
% 66.12/9.62 % (3780093)Time elapsed: 0.681 s
% 66.12/9.62 % (3780093)Peak memory usage: 16 MB
% 66.12/9.62 % (3780093)Instructions burned: 692 (million)
% 66.12/9.62 % (3780113)ott+10_1_sil=32000:tgt=ground:random_seed=4172960652:i=5114:av=off_2990 on theBenchmark for (2990ds/5114Mi)
% 66.12/9.62 % (3780095)Instruction limit reached!
% 66.12/9.62 % (3780095)------------------------------
% 66.12/9.62 % (3780095)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.12/9.62 % (3780095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.12/9.62 % (3780095)CaDiCaL version: 2.1.3
% 66.12/9.62 % (3780095)Termination reason: Instruction limit
% 66.12/9.62 % (3780095)Termination phase: Saturation
% 66.12/9.62 % (3780095)Time elapsed: 0.812 s
% 66.12/9.62 % (3780095)Peak memory usage: 19 MB
% 66.12/9.62 % (3780095)Instructions burned: 879 (million)
% 66.12/9.62 % (3780115)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=576458160:i=54282_2988 on theBenchmark for (2988ds/54282Mi)
% 66.12/9.62 % (3780115)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 66.12/9.62 % (3780115)Terminated due to inappropriate strategy.
% 66.12/9.62 % (3780115)------------------------------
% 66.12/9.62 % (3780115)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.12/9.62 % (3780115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.12/9.62 % (3780115)CaDiCaL version: 2.1.3
% 66.12/9.62 % (3780115)Termination reason: Inappropriate
% 66.12/9.62 % (3780115)Time elapsed: 0.001 s
% 66.12/9.62 % (3780115)Peak memory usage: 10 MB
% 66.12/9.62 % (3780115)------------------------------
% 66.12/9.62 % (3780115)------------------------------
% 66.12/9.62 % (3780117)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3794735095:i=3512:aac=none_2988 on theBenchmark for (2988ds/3512Mi)
% 66.12/9.62 % (3780111)Instruction limit reached!
% 66.12/9.62 % (3780111)------------------------------
% 66.12/9.62 % (3780111)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.12/9.62 % (3780111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.13/15.87 % (3780111)CaDiCaL version: 2.1.3
% 110.13/15.87 % (3780111)Termination reason: Instruction limit
% 110.13/15.87 % (3780111)Termination phase: Saturation
% 110.13/15.87 % (3780111)Time elapsed: 0.456 s
% 110.13/15.87 % (3780111)Peak memory usage: 16 MB
% 110.13/15.87 % (3780111)Instructions burned: 869 (million)
% 110.13/15.87 % (3780119)dis+21_1_sil=32000:sas=cadical:random_seed=1735934938:i=3773:amm=off_2986 on theBenchmark for (2986ds/3773Mi)
% 110.13/15.87 % (3780104)Instruction limit reached!
% 110.13/15.87 % (3780104)------------------------------
% 110.13/15.87 % (3780104)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 110.13/15.87 % (3780104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.13/15.87 % (3780104)CaDiCaL version: 2.1.3
% 110.13/15.87 % (3780104)Termination reason: Instruction limit
% 110.13/15.87 % (3780104)Termination phase: Saturation
% 110.13/15.87 % (3780104)Time elapsed: 1.341 s
% 110.13/15.87 % (3780104)Peak memory usage: 25 MB
% 110.13/15.87 % (3780104)Instructions burned: 1474 (million)
% 110.13/15.87 % (3780134)ott+11_1_sil=16000:gs=on:random_seed=130160010:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2979 on theBenchmark for (2979ds/2251Mi)
% 110.13/15.87 % (3780119)Instruction limit reached!
% 110.13/15.87 % (3780119)------------------------------
% 110.13/15.87 % (3780119)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 110.13/15.87 % (3780119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.13/15.87 % (3780119)CaDiCaL version: 2.1.3
% 110.13/15.87 % (3780119)Termination reason: Instruction limit
% 110.13/15.87 % (3780119)Termination phase: Saturation
% 110.13/15.87 % (3780119)Time elapsed: 1.791 s
% 110.13/15.87 % (3780119)Peak memory usage: 35 MB
% 110.13/15.87 % (3780119)Instructions burned: 3773 (million)
% 110.13/15.87 % (3780141)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=2240832159:fmbsr=1.6:i=67534_2968 on theBenchmark for (2968ds/67534Mi)
% 110.13/15.87 % (3780141)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 110.13/15.87 % (3780141)Terminated due to inappropriate strategy.
% 110.13/15.87 % (3780141)------------------------------
% 110.13/15.87 % (3780141)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 110.13/15.87 % (3780141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.13/15.87 % (3780141)CaDiCaL version: 2.1.3
% 110.13/15.87 % (3780141)Termination reason: Inappropriate
% 110.13/15.87 % (3780141)Time elapsed: 0.001 s
% 110.13/15.87 % (3780141)Peak memory usage: 10 MB
% 110.13/15.87 % (3780141)------------------------------
% 110.13/15.87 % (3780141)------------------------------
% 110.13/15.87 % (3780143)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=2028307369:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2967 on theBenchmark for (2967ds/4591Mi)
% 110.13/15.87 % (3780134)Instruction limit reached!
% 110.13/15.87 % (3780134)------------------------------
% 110.13/15.87 % (3780134)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 110.13/15.87 % (3780134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.13/15.87 % (3780134)CaDiCaL version: 2.1.3
% 110.13/15.87 % (3780134)Termination reason: Instruction limit
% 110.13/15.87 % (3780134)Termination phase: Saturation
% 110.13/15.87 % (3780134)Time elapsed: 2.165 s
% 110.13/15.87 % (3780134)Peak memory usage: 24 MB
% 110.13/15.87 % (3780134)Instructions burned: 2251 (million)
% 110.13/15.87 % (3780147)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=3562977751:i=29340_2957 on theBenchmark for (2957ds/29340Mi)
% 110.13/15.87 % (3780117)Instruction limit reached!
% 110.13/15.87 % (3780117)------------------------------
% 110.13/15.87 % (3780117)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 110.13/15.87 % (3780117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.13/15.87 % (3780117)CaDiCaL version: 2.1.3
% 110.13/15.87 % (3780117)Termination reason: Instruction limit
% 110.13/15.87 % (3780117)Termination phase: Saturation
% 110.13/15.87 % (3780117)Time elapsed: 3.190 s
% 110.13/15.87 % (3780117)Peak memory usage: 29 MB
% 110.13/15.87 % (3780117)Instructions burned: 3512 (million)
% 110.13/15.87 % (3780149)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=1161346264:i=5211_2955 on theBenchmark for (2955ds/5211Mi)
% 110.13/15.87 % (3780102)Instruction limit reached!
% 110.13/15.87 % (3780102)------------------------------
% 110.13/15.87 % (3780102)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 110.13/15.87 % (3780102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.13/15.87 % (3780102)CaDiCaL version: 2.1.3
% 110.13/15.87 % (3780102)Termination reason: Instruction limit
% 110.13/15.87 % (3780102)Termination phase: Saturation
% 110.13/15.87 % (3780102)Time elapsed: 4.552 s
% 110.13/15.87 % (3780102)Peak memory usage: 41 MB
% 110.13/15.87 % (3780102)Instructions burned: 5132 (million)
% 110.13/15.87 % (3780151)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=3203292187:i=5497:nm=2_2946 on theBenchmark for (2946ds/5497Mi)
% 110.13/15.87 % (3780151)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 110.13/15.87 % (3780151)Terminated due to inappropriate strategy.
% 110.13/15.87 % (3780151)------------------------------
% 110.13/15.87 % (3780151)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 110.13/15.87 % (3780151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.13/15.87 % (3780151)CaDiCaL version: 2.1.3
% 110.13/15.87 % (3780151)Termination reason: Inappropriate
% 110.13/15.87 % (3780151)Time elapsed: 0.001 s
% 110.13/15.87 % (3780151)Peak memory usage: 10 MB
% 110.13/15.87 % (3780151)------------------------------
% 110.13/15.87 % (3780151)------------------------------
% 110.13/15.87 % (3780153)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=828939591:fmbsr=2:i=46332_2946 on theBenchmark for (2946ds/46332Mi)
% 110.13/15.87 % (3780153)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 110.13/15.87 % (3780153)Terminated due to inappropriate strategy.
% 110.13/15.87 % (3780153)------------------------------
% 110.13/15.87 % (3780153)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 110.13/15.87 % (3780153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.13/15.87 % (3780153)CaDiCaL version: 2.1.3
% 110.13/15.87 % (3780153)Termination reason: Inappropriate
% 110.13/15.87 % (3780153)Time elapsed: 0.001 s
% 110.13/15.87 % (3780153)Peak memory usage: 10 MB
% 110.13/15.87 % (3780153)------------------------------
% 110.13/15.87 % (3780153)------------------------------
% 110.13/15.87 % (3780155)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=196707833:i=14071_2946 on theBenchmark for (2946ds/14071Mi)
% 110.13/15.87 % (3780155)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 110.13/15.87 % (3780155)Terminated due to inappropriate strategy.
% 110.13/15.87 % (3780155)------------------------------
% 110.13/15.87 % (3780155)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 110.13/15.87 % (3780155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.13/15.87 % (3780155)CaDiCaL version: 2.1.3
% 110.13/15.87 % (3780155)Termination reason: Inappropriate
% 110.13/15.87 % (3780155)Time elapsed: 0.001 s
% 110.13/15.87 % (3780155)Peak memory usage: 10 MB
% 110.13/15.87 % (3780155)------------------------------
% 110.13/15.87 % (3780155)------------------------------
% 110.13/15.87 % (3780143)Instruction limit reached!
% 110.13/15.87 % (3780143)------------------------------
% 110.13/15.87 % (3780143)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 110.13/15.87 % (3780143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.13/15.87 % (3780143)CaDiCaL version: 2.1.3
% 110.13/15.87 % (3780143)Termination reason: Instruction limit
% 110.13/15.87 % (3780143)Termination phase: Saturation
% 110.13/15.87 % (3780143)Time elapsed: 2.189 s
% 110.13/15.87 % (3780143)Peak memory usage: 35 MB
% 110.13/15.87 % (3780143)Instructions burned: 4591 (million)
% 110.13/15.87 % (3780157)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1310159225:i=22565:add=on:rawr=on_2945 on theBenchmark for (2945ds/22565Mi)
% 110.13/15.87 % (3780158)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=3582554337:i=8173:av=off_2945 on theBenchmark for (2945ds/8173Mi)
% 110.13/15.87 % (3780113)Instruction limit reached!
% 110.13/15.87 % (3780113)------------------------------
% 110.13/15.87 % (3780113)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 110.13/15.87 % (3780113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.13/15.87 % (3780113)CaDiCaL version: 2.1.3
% 110.13/15.87 % (3780113)Termination reason: Instruction limit
% 110.13/15.87 % (3780113)Termination phase: Saturation
% 110.13/15.87 % (3780113)Time elapsed: 5.200 s
% 110.13/15.87 % (3780113)Peak memory usage: 38 MB
% 110.13/15.87 % (3780113)Instructions burned: 5114 (million)
% 110.13/15.87 % (3780161)dis+10_16:1_sil=16000:random_seed=3974715865:i=9155:fsr=off_2938 on theBenchmark for (2938ds/9155Mi)
% 110.13/15.87 % (3780149)Instruction limit reached!
% 110.13/15.87 % (3780149)------------------------------
% 110.13/15.87 % (3780149)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 110.13/15.87 % (3780149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.13/15.87 % (3780149)CaDiCaL version: 2.1.3
% 110.13/15.87 % (3780149)Termination reason: Instruction limit
% 110.13/15.87 % (3780149)Termination phase: Saturation
% 110.13/15.87 % (3780149)Time elapsed: 4.873 s
% 110.13/15.87 % (3780149)Peak memory usage: 50 MB
% 110.13/15.87 % (3780149)Instructions burned: 5211 (million)
% 110.13/15.87 % (3780163)ott-3_8_sil=64000:random_seed=1919585740:i=20139:bs=on_2906 on theBenchmark for (2906ds/20139Mi)
% 110.13/15.87 % (3780158)Instruction limit reached!
% 110.13/15.87 % (3780158)------------------------------
% 110.13/15.87 % (3780158)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 110.13/15.87 % (3780158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.13/15.87 % (3780158)CaDiCaL version: 2.1.3
% 110.13/15.87 % (3780158)Termination reason: Instruction limit
% 110.13/15.87 % (3780158)Termination phase: Saturation
% 110.13/15.87 % (3780158)Time elapsed: 4.377 s
% 110.13/15.87 % (3780158)Peak memory usage: 53 MB
% 110.13/15.87 % (3780158)Instructions burned: 8174 (million)
% 110.13/15.87 % (3780165)fmb+10_1_sil=64000:tgt=ground:sas=cadical:bce=on:fmbss=9:random_seed=1086261948:fmbsr=2:i=32576_2901 on theBenchmark for (2901ds/32576Mi)
% 110.13/15.87 % (3780165)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 110.13/15.87 % (3780165)Terminated due to inappropriate strategy.
% 110.13/15.87 % (3780165)------------------------------
% 110.13/15.87 % (3780165)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 110.13/15.87 % (3780165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.13/15.87 % (3780165)CaDiCaL version: 2.1.3
% 110.13/15.87 % (3780165)Termination reason: Inappropriate
% 110.13/15.87 % (3780165)Time elapsed: 0.0000 s
% 110.13/15.87 % (3780165)Peak memory usage: 10 MB
% 110.13/15.87 % (3780165)------------------------------
% 110.13/15.87 % (3780165)------------------------------
% 110.13/15.87 % (3780167)ott+10_8:1_sil=16000:sp=arity:gs=on:random_seed=1720999907:i=11404_2901 on theBenchmark for (2901ds/11404Mi)
% 110.13/15.87 % (3780161)Instruction limit reached!
% 110.13/15.87 % (3780161)------------------------------
% 110.13/15.87 % (3780161)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 110.13/15.87 % (3780161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.13/15.87 % (3780161)CaDiCaL version: 2.1.3
% 110.13/15.87 % (3780161)Termination reason: Instruction limit
% 110.13/15.87 % (3780161)Termination phase: Saturation
% 110.13/15.87 % (3780161)Time elapsed: 8.092 s
% 110.13/15.87 % (3780161)Peak memory usage: 51 MB
% 110.13/15.87 % (3780161)Instructions burned: 9155 (million)
% 110.13/15.87 % (3780187)ott-11_1_sil=16000:alpa=false:sac=on:random_seed=4215474015:i=14134_2856 on theBenchmark for (2856ds/14134Mi)
% 110.13/15.87 % (3780064) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3780058-3780064"...
% 110.13/15.87 % (3780064)...printing done.
% 110.13/15.87 % (3780064)Refutation found. Thanks to Tanya!
% 110.13/15.87 % SZS status Theorem for theBenchmark
% 110.13/15.87 % SZS output start Proof for theBenchmark
% 110.13/15.87 tff(func_def_0, type, d: $int).
% 110.13/15.87 tff(func_def_1, type, c: $int).
% 110.13/15.87 tff(f1,conjecture,(
% 110.13/15.87 $sum($product($product(-1,d),$sum(2,c)),$product(-1,$product(d,$difference($product(-1,2),c)))) = 0),
% 110.13/15.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj)).
% 110.13/15.87 tff(f2,negated_conjecture,(
% 110.13/15.87 ~ $sum($product($product(-1,d),$sum(2,c)),$product(-1,$product(d,$difference($product(-1,2),c)))) = 0),
% 110.13/15.87 inference(negated_conjecture,[status(cth)],[f1])).
% 110.13/15.87 tff(f3,plain,(
% 110.13/15.87 ~ 0 = $sum($product($product(-1,d),$sum(2,c)),$product(-1,$product(d,$sum($product(-1,2),$uminus(c)))))),
% 110.13/15.87 inference(theory_normalization,[],[f2])).
% 110.13/15.87 tff(f4,definition,(
% 110.13/15.87 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 110.13/15.87 introduced(theory,[tha_commutativity])).
% 110.13/15.87 tff(f5,definition,(
% 110.13/15.87 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 110.13/15.87 introduced(theory,[tha_associativity])).
% 110.13/15.87 tff(f7,definition,(
% 110.13/15.87 ( ! [X0 : $int,X1 : $int] : ($uminus($sum(X0,X1)) = $sum($uminus(X1),$uminus(X0))) )),
% 110.13/15.87 introduced(theory,[tha_inverse_op_op_inverses])).
% 110.13/15.87 tff(f8,definition,(
% 110.13/15.87 ( ! [X0 : $int] : (0 = $sum(X0,$uminus(X0))) )),
% 110.13/15.87 introduced(theory,[tha_inverse_op_unit])).
% 110.13/15.87 tff(f14,definition,(
% 110.13/15.87 ( ! [X0 : $int] : ($uminus($uminus(X0)) = X0) )),
% 110.13/15.87 introduced(theory,[tha_minus_minus_x])).
% 110.13/15.87 tff(f15,definition,(
% 110.13/15.87 ( ! [X0 : $int,X1 : $int] : ($product(X0,X1) = $product(X1,X0)) )),
% 110.13/15.87 introduced(theory,[tha_commutativity])).
% 110.13/15.87 tff(f19,definition,(
% 110.13/15.87 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2))) )),
% 110.13/15.87 introduced(theory,[tha_distributivity])).
% 110.13/15.87 tff(f22,plain,(
% 110.13/15.87 0 != $sum($product($product(-1,d),$sum(2,c)),$product(-1,$product(d,$sum($product(-1,2),$uminus(c)))))),
% 110.13/15.87 inference(flattening,[],[f3])).
% 110.13/15.87 tff(f23,plain,(
% 110.13/15.87 0 != $sum($product($product(-1,d),$sum(2,c)),$product(-1,$product(d,$sum($product(-1,2),$uminus(c)))))),
% 110.13/15.87 inference(cnf_transformation,[],[f22])).
% 110.13/15.87 tff(f25,plain,(
% 110.13/15.87 0 != $sum($product($uminus(d),$sum(2,c)),$uminus($product(d,$sum(-2,$uminus(c)))))),
% 110.13/15.87 inference(evaluation,[],[f23])).
% 110.13/15.87 tff(f26,plain,(
% 110.13/15.87 ( ! [X0 : $int] : (0 = $sum($uminus(X0),X0)) )),
% 110.13/15.87 inference(superposition,[],[f8,f14])).
% 110.13/15.87 tff(f91,plain,(
% 110.13/15.87 ( ! [X0 : $int,X1 : $int] : ($uminus($sum(X1,$uminus(X0))) = $sum(X0,$uminus(X1))) )),
% 110.13/15.87 inference(superposition,[],[f7,f14])).
% 110.13/15.87 tff(f155,plain,(
% 110.13/15.87 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X1,$sum(X0,X2)) = $sum($product(X0,X1),$product(X1,X2))) )),
% 110.13/15.87 inference(superposition,[],[f19,f15])).
% 110.13/15.87 tff(f163,plain,(
% 110.13/15.87 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum($product(X0,X1),$product(X0,X2)) = $product(X0,$sum(X2,X1))) )),
% 110.13/15.87 inference(superposition,[],[f19,f4])).
% 110.13/15.87 tff(f165,plain,(
% 110.13/15.87 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int] : ($sum($product(X0,X1),$sum($product(X0,X2),X3)) = $sum($product(X0,$sum(X1,X2)),X3)) )),
% 110.13/15.87 inference(superposition,[],[f5,f19])).
% 110.13/15.87 tff(f1239,plain,(
% 110.13/15.87 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X1,$sum(X2,X0)) = $sum($product(X2,X1),$product(X0,X1))) )),
% 110.13/15.87 inference(superposition,[],[f155,f15])).
% 110.13/15.87 tff(f1340,plain,(
% 110.13/15.87 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$sum(X1,X2)) = $product(X0,$sum(X2,X1))) )),
% 110.13/15.87 inference(superposition,[],[f163,f19])).
% 110.13/15.87 tff(f1572,plain,(
% 110.13/15.87 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum($product(X0,X1),0) = $sum($product(X0,$sum(X1,X2)),$uminus($product(X0,X2)))) )),
% 110.13/15.87 inference(superposition,[],[f165,f8])).
% 110.13/15.87 tff(f1593,plain,(
% 110.13/15.87 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,X1) = $sum($product(X0,$sum(X1,X2)),$uminus($product(X0,X2)))) )),
% 110.13/15.87 inference(evaluation,[],[f1572])).
% 110.13/15.87 tff(f28885,plain,(
% 110.13/15.87 ( ! [X0 : $int,X1 : $int] : ($product(X0,$uminus(X1)) = $sum($product(X0,0),$uminus($product(X0,X1)))) )),
% 110.13/15.87 inference(superposition,[],[f1593,f26])).
% 110.13/15.87 tff(f29011,plain,(
% 110.13/15.87 ( ! [X0 : $int,X1 : $int] : ($uminus($product(X0,X1)) = $product(X0,$uminus(X1))) )),
% 110.13/15.87 inference(evaluation,[],[f28885])).
% 110.13/15.87 tff(f255402,plain,(
% 110.13/15.87 0 != $sum($product($uminus(d),$sum(2,c)),$product(d,$uminus($sum(-2,$uminus(c)))))),
% 110.13/15.87 inference(superposition,[],[f25,f29011])).
% 110.13/15.87 tff(f255534,plain,(
% 110.13/15.87 0 != $sum($product($uminus(d),$sum(2,c)),$product(d,$sum(c,$uminus(-2))))),
% 110.13/15.87 inference(forward_demodulation,[],[f255402,f91])).
% 110.13/15.87 tff(f255535,plain,(
% 110.13/15.87 0 != $sum($product($uminus(d),$sum(2,c)),$product(d,$sum(c,2)))),
% 110.13/15.87 inference(evaluation,[],[f255534])).
% 110.13/15.87 tff(f255587,plain,(
% 110.13/15.87 0 != $sum($product($uminus(d),$sum(2,c)),$product(d,$sum(2,c)))),
% 110.13/15.87 inference(forward_demodulation,[],[f255535,f1340])).
% 110.13/15.87 tff(f256021,plain,(
% 110.13/15.87 0 != $product($sum(2,c),$sum($uminus(d),d))),
% 110.13/15.87 inference(superposition,[],[f255587,f1239])).
% 110.13/15.87 tff(f256024,plain,(
% 110.13/15.87 0 != $product($sum(2,c),$sum(d,$uminus(d)))),
% 110.13/15.87 inference(forward_demodulation,[],[f256021,f4])).
% 110.13/15.87 tff(f256025,plain,(
% 110.13/15.87 0 != $product($sum(2,c),0)),
% 110.13/15.87 inference(forward_demodulation,[],[f256024,f8])).
% 110.13/15.87 tff(f256026,plain,(
% 110.13/15.87 $false),
% 110.13/15.87 inference(evaluation,[],[f256025])).
% 110.13/15.87 % SZS output end Proof for theBenchmark
% 110.13/15.87 % (3780064)------------------------------
% 110.13/15.87 % (3780064)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 110.13/15.87 % (3780064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.13/15.87 % (3780064)CaDiCaL version: 2.1.3
% 110.13/15.87 % (3780064)Termination reason: Refutation
% 110.13/15.87 % (3780064)Time elapsed: 15.515 s
% 110.13/15.87 % (3780064)Peak memory usage: 99 MB
% 110.13/15.87 % (3780064)Instructions burned: 17427 (million)
% 110.13/15.87 % (3780058)Success in time 15.578 s
% 110.13/15.87 % Vampire exiting
%------------------------------------------------------------------------------