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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : GEG025_1 : TPTP v9.3.1. Bugfixed v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n012.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 09:50:04 AM UTC 2026

% Result   : Theorem 0.07s 0.42s
% Output   : Refutation 0.07s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : GEG025_1 : TPTP v9.3.1. Bugfixed v5.2.0.
% 0.00/0.03  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.04/0.31  % Computer : n012.cluster.edu
% 0.04/0.31  % Model    : x86_64 x86_64
% 0.04/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31  % Memory   : 8046.5625MB
% 0.04/0.31  % OS       : Linux 6.8.0-71-generic
% 0.04/0.31  % CPULimit : 300
% 0.04/0.31  % WCLimit  : 300
% 0.04/0.31  % DateTime : Sun Sep 27 06:29:35 UTC 2026
% 0.04/0.31  % CPUTime  : 
% 0.04/0.31  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.33  Running first-order model finding
% 0.07/0.33  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
% 0.07/0.42  % (2011804)Will run a generic schedule for satisfiability detection.
% 0.07/0.42  % (2011810)% WARNING: option uhcvi not known.
% 0.07/0.42  % (2011809)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=269664097_2999 on theBenchmark for (2999ds/0Mi)
% 0.07/0.42  % (2011810)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3072163845:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.07/0.42  % (2011811)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1278329554:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.07/0.42  % (2011812)dis+10_1_sil=32000:sp=arity:random_seed=3227792413:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.07/0.42  % (2011813)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1360398975:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.07/0.42  % (2011814)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1785158620:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.07/0.42  % (2011815)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1367598720:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.07/0.42  % (2011809)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.07/0.42  % (2011809)Terminated due to inappropriate strategy.
% 0.07/0.42  % (2011809)------------------------------
% 0.07/0.42  % (2011809)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.42  % (2011809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.42  % (2011809)CaDiCaL version: 2.1.3
% 0.07/0.42  % (2011809)Termination reason: Inappropriate
% 0.07/0.42  % (2011809)Time elapsed: 0.0000 s
% 0.07/0.42  % (2011809)Peak memory usage: 10 MB
% 0.07/0.42  % (2011809)------------------------------
% 0.07/0.42  % (2011809)------------------------------
% 0.07/0.42  % (2011823)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1779090234:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.07/0.42  % (2011823)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.07/0.42  % (2011823)Terminated due to inappropriate strategy.
% 0.07/0.42  % (2011823)------------------------------
% 0.07/0.42  % (2011823)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.42  % (2011823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.42  % (2011823)CaDiCaL version: 2.1.3
% 0.07/0.42  % (2011823)Termination reason: Inappropriate
% 0.07/0.42  % (2011823)Time elapsed: 0.0000 s
% 0.07/0.42  % (2011823)Peak memory usage: 10 MB
% 0.07/0.42  % (2011823)------------------------------
% 0.07/0.42  % (2011823)------------------------------
% 0.07/0.42  % (2011825)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3800837902:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.07/0.42  % (2011812)Instruction limit reached! 
% 0.07/0.42  % (2011812)------------------------------
% 0.07/0.42  % (2011812)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.42  % (2011812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.42  % (2011812)CaDiCaL version: 2.1.3
% 0.07/0.42  % (2011812)Termination reason: Instruction limit
% 0.07/0.42  % (2011812)Termination phase: Saturation
% 0.07/0.42  % (2011812)Time elapsed: 0.034 s
% 0.07/0.42  % (2011812)Peak memory usage: 13 MB
% 0.07/0.42  % (2011812)Instructions burned: 105 (million)
% 0.07/0.42  % (2011813)Instruction limit reached! 
% 0.07/0.42  % (2011813)------------------------------
% 0.07/0.42  % (2011813)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.42  % (2011813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.42  % (2011813)CaDiCaL version: 2.1.3
% 0.07/0.42  % (2011813)Termination reason: Instruction limit
% 0.07/0.42  % (2011813)Termination phase: Saturation
% 0.07/0.42  % (2011813)Time elapsed: 0.039 s
% 0.07/0.42  % (2011813)Peak memory usage: 13 MB
% 0.07/0.42  % (2011813)Instructions burned: 118 (million)
% 0.07/0.42  % (2011814)Instruction limit reached! 
% 0.07/0.42  % (2011814)------------------------------
% 0.07/0.42  % (2011814)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.42  % (2011814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.42  % (2011814)CaDiCaL version: 2.1.3
% 0.07/0.42  % (2011814)Termination reason: Instruction limit
% 0.07/0.42  % (2011814)Termination phase: Saturation
% 0.07/0.42  % (2011814)Time elapsed: 0.045 s
% 0.07/0.42  % (2011814)Peak memory usage: 13 MB
% 0.07/0.42  % (2011814)Instructions burned: 131 (million)
% 0.07/0.42  % (2011827)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=1009394784:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 0.07/0.42  % (2011828)ott-21_1_sil=16000:fs=off:random_seed=734089546:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 0.07/0.42  % (2011830)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2736705750:i=477:bd=all_2999 on theBenchmark for (2999ds/477Mi)
% 0.07/0.42  % (2011811) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2011804-2011811"...
% 0.07/0.42  % (2011811)...printing done.
% 0.07/0.42  % (2011815)Instruction limit reached! 
% 0.07/0.42  % (2011815)------------------------------
% 0.07/0.42  % (2011815)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.42  % (2011815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.42  % (2011815)CaDiCaL version: 2.1.3
% 0.07/0.42  % (2011815)Termination reason: Instruction limit
% 0.07/0.42  % (2011815)Termination phase: Saturation
% 0.07/0.42  % (2011815)Time elapsed: 0.058 s
% 0.07/0.42  % (2011815)Peak memory usage: 14 MB
% 0.07/0.42  % (2011815)Instructions burned: 159 (million)
% 0.07/0.42  % (2011811)Refutation found. Thanks to Tanya!
% 0.07/0.42  % SZS status Theorem for theBenchmark
% 0.07/0.42  % SZS output start Proof for theBenchmark
% 0.07/0.42  tff(type_def_5, type, city: $tType).
% 0.07/0.42  tff(func_def_0, type, d: (city * city) > $int).
% 0.07/0.42  tff(func_def_1, type, inh: city > $int).
% 0.07/0.42  tff(func_def_2, type, kiel: city).
% 0.07/0.42  tff(func_def_3, type, hamburg: city).
% 0.07/0.42  tff(func_def_4, type, berlin: city).
% 0.07/0.42  tff(func_def_5, type, cologne: city).
% 0.07/0.42  tff(func_def_6, type, frankfurt: city).
% 0.07/0.42  tff(func_def_7, type, saarbruecken: city).
% 0.07/0.42  tff(func_def_8, type, munich: city).
% 0.07/0.42  tff(f1,conjecture,(
% 0.07/0.42    (! [X0 : city,X1 : city] : d(X0,X1) = d(X1,X0) & ! [X0 : city,X1 : city,X2 : city] : $lesseq(d(X0,X2),$sum(d(X0,X1),d(X1,X2))) & ! [X0 : city] : d(X0,X0) = 0 & d(berlin,munich) = 510 & d(berlin,cologne) = 480 & d(berlin,frankfurt) = 420 & d(saarbruecken,frankfurt) = 160 & d(saarbruecken,cologne) = 190 & d(hamburg,cologne) = 360 & d(hamburg,frankfurt) = 390 & d(cologne,frankfurt) = 150 & d(hamburg,kiel) = 90 & d(hamburg,berlin) = 250 & d(munich,frankfurt) = 300 & d(munich,saarbruecken) = 360 & inh(berlin) = 3442675 & inh(hamburg) = 1774224 & inh(munich) = 1330440 & inh(cologne) = 998105 & inh(frankfurt) = 671927 & inh(saarbruecken) = 175810 & inh(kiel) = 238281) => ? [X0 : city] : ($lesseq(d(saarbruecken,X0),600) & $lesseq(3000000,inh(X0)))),
% 0.07/0.42    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exists_big_city_distance_2)).
% 0.07/0.42  tff(f2,negated_conjecture,(
% 0.07/0.42    ~((! [X0 : city,X1 : city] : d(X0,X1) = d(X1,X0) & ! [X0 : city,X1 : city,X2 : city] : $lesseq(d(X0,X2),$sum(d(X0,X1),d(X1,X2))) & ! [X0 : city] : d(X0,X0) = 0 & d(berlin,munich) = 510 & d(berlin,cologne) = 480 & d(berlin,frankfurt) = 420 & d(saarbruecken,frankfurt) = 160 & d(saarbruecken,cologne) = 190 & d(hamburg,cologne) = 360 & d(hamburg,frankfurt) = 390 & d(cologne,frankfurt) = 150 & d(hamburg,kiel) = 90 & d(hamburg,berlin) = 250 & d(munich,frankfurt) = 300 & d(munich,saarbruecken) = 360 & inh(berlin) = 3442675 & inh(hamburg) = 1774224 & inh(munich) = 1330440 & inh(cologne) = 998105 & inh(frankfurt) = 671927 & inh(saarbruecken) = 175810 & inh(kiel) = 238281) => ? [X0 : city] : ($lesseq(d(saarbruecken,X0),600) & $lesseq(3000000,inh(X0))))),
% 0.07/0.42    inference(negated_conjecture,[status(cth)],[f1])).
% 0.07/0.42  tff(f3,plain,(
% 0.07/0.42    ~((! [X0 : city,X1 : city] : d(X0,X1) = d(X1,X0) & ! [X0 : city,X1 : city,X2 : city] : ~$less($sum(d(X0,X1),d(X1,X2)),d(X0,X2)) & ! [X0 : city] : d(X0,X0) = 0 & d(berlin,munich) = 510 & d(berlin,cologne) = 480 & d(berlin,frankfurt) = 420 & d(saarbruecken,frankfurt) = 160 & d(saarbruecken,cologne) = 190 & d(hamburg,cologne) = 360 & d(hamburg,frankfurt) = 390 & d(cologne,frankfurt) = 150 & d(hamburg,kiel) = 90 & d(hamburg,berlin) = 250 & d(munich,frankfurt) = 300 & d(munich,saarbruecken) = 360 & inh(berlin) = 3442675 & inh(hamburg) = 1774224 & inh(munich) = 1330440 & inh(cologne) = 998105 & inh(frankfurt) = 671927 & inh(saarbruecken) = 175810 & inh(kiel) = 238281) => ? [X0 : city] : (~$less(600,d(saarbruecken,X0)) & ~$less(inh(X0),3000000)))),
% 0.07/0.42    inference(theory_normalization,[],[f2])).
% 0.07/0.42  tff(f10,definition,(
% 0.07/0.42    ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X1,X2) | ~$less(X0,X1) | $less(X0,X2)) )),
% 0.07/0.42    introduced(theory,[tha_transitivity])).
% 0.07/0.42  tff(f16,plain,(
% 0.07/0.42    ~((! [X0 : city,X1 : city] : d(X0,X1) = d(X1,X0) & ! [X2 : city,X3 : city,X4 : city] : ~$less($sum(d(X2,X3),d(X3,X4)),d(X2,X4)) & ! [X5 : city] : 0 = d(X5,X5) & d(berlin,munich) = 510 & d(berlin,cologne) = 480 & d(berlin,frankfurt) = 420 & d(saarbruecken,frankfurt) = 160 & d(saarbruecken,cologne) = 190 & d(hamburg,cologne) = 360 & d(hamburg,frankfurt) = 390 & d(cologne,frankfurt) = 150 & d(hamburg,kiel) = 90 & d(hamburg,berlin) = 250 & d(munich,frankfurt) = 300 & d(munich,saarbruecken) = 360 & inh(berlin) = 3442675 & inh(hamburg) = 1774224 & inh(munich) = 1330440 & inh(cologne) = 998105 & inh(frankfurt) = 671927 & inh(saarbruecken) = 175810 & inh(kiel) = 238281) => ? [X6 : city] : (~$less(600,d(saarbruecken,X6)) & ~$less(inh(X6),3000000)))),
% 0.07/0.42    inference(rectify,[],[f3])).
% 0.07/0.42  tff(f17,plain,(
% 0.07/0.42    ! [X6 : city] : ($less(600,d(saarbruecken,X6)) | $less(inh(X6),3000000)) & (! [X0 : city,X1 : city] : d(X0,X1) = d(X1,X0) & ! [X2 : city,X3 : city,X4 : city] : ~$less($sum(d(X2,X3),d(X3,X4)),d(X2,X4)) & ! [X5 : city] : 0 = d(X5,X5) & d(berlin,munich) = 510 & d(berlin,cologne) = 480 & d(berlin,frankfurt) = 420 & d(saarbruecken,frankfurt) = 160 & d(saarbruecken,cologne) = 190 & d(hamburg,cologne) = 360 & d(hamburg,frankfurt) = 390 & d(cologne,frankfurt) = 150 & d(hamburg,kiel) = 90 & d(hamburg,berlin) = 250 & d(munich,frankfurt) = 300 & d(munich,saarbruecken) = 360 & inh(berlin) = 3442675 & inh(hamburg) = 1774224 & inh(munich) = 1330440 & inh(cologne) = 998105 & inh(frankfurt) = 671927 & inh(saarbruecken) = 175810 & inh(kiel) = 238281)),
% 0.07/0.42    inference(ennf_transformation,[],[f16])).
% 0.07/0.42  tff(f18,plain,(
% 0.07/0.42    ! [X6 : city] : ($less(600,d(saarbruecken,X6)) | $less(inh(X6),3000000)) & ! [X0 : city,X1 : city] : d(X0,X1) = d(X1,X0) & ! [X2 : city,X3 : city,X4 : city] : ~$less($sum(d(X2,X3),d(X3,X4)),d(X2,X4)) & ! [X5 : city] : 0 = d(X5,X5) & d(berlin,munich) = 510 & d(berlin,cologne) = 480 & d(berlin,frankfurt) = 420 & d(saarbruecken,frankfurt) = 160 & d(saarbruecken,cologne) = 190 & d(hamburg,cologne) = 360 & d(hamburg,frankfurt) = 390 & d(cologne,frankfurt) = 150 & d(hamburg,kiel) = 90 & d(hamburg,berlin) = 250 & d(munich,frankfurt) = 300 & d(munich,saarbruecken) = 360 & inh(berlin) = 3442675 & inh(hamburg) = 1774224 & inh(munich) = 1330440 & inh(cologne) = 998105 & inh(frankfurt) = 671927 & inh(saarbruecken) = 175810 & inh(kiel) = 238281),
% 0.07/0.42    inference(flattening,[],[f17])).
% 0.07/0.42  tff(f19,plain,(
% 0.07/0.42    ! [X0 : city] : ($less(600,d(saarbruecken,X0)) | $less(inh(X0),3000000)) & ! [X1 : city,X2 : city] : d(X1,X2) = d(X2,X1) & ! [X3 : city,X4 : city,X5 : city] : ~$less($sum(d(X3,X4),d(X4,X5)),d(X3,X5)) & ! [X6 : city] : 0 = d(X6,X6) & d(berlin,munich) = 510 & d(berlin,cologne) = 480 & d(berlin,frankfurt) = 420 & d(saarbruecken,frankfurt) = 160 & d(saarbruecken,cologne) = 190 & d(hamburg,cologne) = 360 & d(hamburg,frankfurt) = 390 & d(cologne,frankfurt) = 150 & d(hamburg,kiel) = 90 & d(hamburg,berlin) = 250 & d(munich,frankfurt) = 300 & d(munich,saarbruecken) = 360 & inh(berlin) = 3442675 & inh(hamburg) = 1774224 & inh(munich) = 1330440 & inh(cologne) = 998105 & inh(frankfurt) = 671927 & inh(saarbruecken) = 175810 & inh(kiel) = 238281),
% 0.07/0.42    inference(rectify,[],[f18])).
% 0.07/0.42  tff(f26,plain,(
% 0.07/0.42    inh(berlin) = 3442675),
% 0.07/0.42    inference(cnf_transformation,[],[f19])).
% 0.07/0.42  tff(f35,plain,(
% 0.07/0.42    d(saarbruecken,frankfurt) = 160),
% 0.07/0.42    inference(cnf_transformation,[],[f19])).
% 0.07/0.42  tff(f36,plain,(
% 0.07/0.42    d(berlin,frankfurt) = 420),
% 0.07/0.42    inference(cnf_transformation,[],[f19])).
% 0.07/0.42  tff(f40,plain,(
% 0.07/0.42    ( ! [X3 : city,X4 : city,X5 : city] : (~$less($sum(d(X3,X4),d(X4,X5)),d(X3,X5))) )),
% 0.07/0.42    inference(cnf_transformation,[],[f19])).
% 0.07/0.42  tff(f41,plain,(
% 0.07/0.42    ( ! [X2 : city,X1 : city] : (d(X1,X2) = d(X2,X1)) )),
% 0.07/0.42    inference(cnf_transformation,[],[f19])).
% 0.07/0.42  tff(f42,plain,(
% 0.07/0.42    ( ! [X0 : city] : ($less(600,d(saarbruecken,X0)) | $less(inh(X0),3000000)) )),
% 0.07/0.42    inference(cnf_transformation,[],[f19])).
% 0.07/0.42  tff(f78,plain,(
% 0.07/0.42    ( ! [X0 : city] : (~$less($sum(420,d(frankfurt,X0)),d(berlin,X0))) )),
% 0.07/0.42    inference(superposition,[],[f40,f36])).
% 0.07/0.42  tff(f892,plain,(
% 0.07/0.42    ( ! [X0 : city] : (~$less($sum(420,d(X0,frankfurt)),d(berlin,X0))) )),
% 0.07/0.42    inference(superposition,[],[f78,f41])).
% 0.07/0.42  tff(f3254,plain,(
% 0.07/0.42    ( ! [X0 : city] : (~$less($sum(420,d(X0,frankfurt)),d(X0,berlin))) )),
% 0.07/0.42    inference(superposition,[],[f892,f41])).
% 0.07/0.42  tff(f8685,plain,(
% 0.07/0.42    ( ! [X0 : $int,X1 : city] : ($less(X0,d(saarbruecken,X1)) | ~$less(X0,600) | $less(inh(X1),3000000)) )),
% 0.07/0.42    inference(resolution,[],[f10,f42])).
% 0.07/0.42  tff(f8764,plain,(
% 0.07/0.42    ~$less($sum(420,d(saarbruecken,frankfurt)),600) | $less(inh(berlin),3000000)),
% 0.07/0.42    inference(resolution,[],[f8685,f3254])).
% 0.07/0.42  tff(f8882,plain,(
% 0.07/0.42    ~$less($sum(420,160),600) | $less(inh(berlin),3000000)),
% 0.07/0.42    inference(forward_demodulation,[],[f8764,f35])).
% 0.07/0.42  tff(f8883,plain,(
% 0.07/0.42    $less(inh(berlin),3000000)),
% 0.07/0.42    inference(evaluation,[],[f8882])).
% 0.07/0.42  tff(f8963,plain,(
% 0.07/0.42    $less(3442675,3000000)),
% 0.07/0.42    inference(forward_demodulation,[],[f8883,f26])).
% 0.07/0.42  tff(f8964,plain,(
% 0.07/0.42    $false),
% 0.07/0.42    inference(evaluation,[],[f8963])).
% 0.07/0.42  % SZS output end Proof for theBenchmark
% 0.07/0.42  % (2011811)------------------------------
% 0.07/0.42  % (2011811)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.42  % (2011811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.42  % (2011811)CaDiCaL version: 2.1.3
% 0.07/0.42  % (2011811)Termination reason: Refutation
% 0.07/0.42  % (2011811)Time elapsed: 0.058 s
% 0.07/0.42  % (2011811)Peak memory usage: 13 MB
% 0.07/0.42  % (2011811)Instructions burned: 184 (million)
% 0.07/0.42  % (2011804)Success in time 0.081 s
% 0.07/0.42  % Vampire exiting
%------------------------------------------------------------------------------