%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ALG003-1 : TPTP v9.3.1. Bugfixed v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n004.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 09:20:02 AM UTC 2026
% Result : Unsatisfiable 82.42s 11.96s
% Output : Refutation 82.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 4
% Syntax : Number of formulae : 25 ( 23 unt; 0 def)
% Number of atoms : 28 ( 27 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 24 ( 21 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 52 ( 52 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] :
( multiply(X0,X1) != X2
| multiply(X3,X1) != X2
| X0 = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_cancellation) ).
fof(f3,axiom,
! [X2,X3,X0,X1] : multiply(multiply(X0,X1),multiply(X2,X3)) = multiply(multiply(X0,X2),multiply(X1,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',medial_law) ).
fof(f4,axiom,
multiply(an_element,an_element) = an_element,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotent_element) ).
fof(f5,plain,
an_element = multiply(an_element,an_element),
inference(reorient_equations,[],[f4]) ).
fof(f6,negated_conjecture,
multiply(multiply(a,multiply(d,c)),multiply(multiply(b,e),f)) != multiply(multiply(a,multiply(b,c)),multiply(multiply(d,e),f)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f7,plain,
! [X3,X0,X1] :
( multiply(X0,X1) != multiply(X3,X1)
| X0 = X3 ),
inference(equality_resolution,[],[f1]) ).
fof(f9,plain,
! [X0] : multiply(multiply(multiply(a,multiply(d,c)),multiply(multiply(b,e),f)),X0) != multiply(multiply(multiply(a,multiply(b,c)),multiply(multiply(d,e),f)),X0),
inference(unit_resulting_resolution,[],[f7,f6]) ).
fof(f147,plain,
! [X0,X1] : multiply(multiply(X0,an_element),multiply(X1,an_element)) = multiply(multiply(X0,X1),an_element),
inference(superposition,[],[f3,f5]) ).
fof(f156,plain,
! [X0,X1] : multiply(multiply(multiply(a,multiply(d,c)),X0),multiply(multiply(multiply(b,e),f),X1)) != multiply(multiply(multiply(a,multiply(b,c)),multiply(multiply(d,e),f)),multiply(X0,X1)),
inference(superposition,[],[f9,f3]) ).
fof(f612,plain,
! [X0,X1] : multiply(multiply(multiply(a,multiply(d,c)),X0),multiply(multiply(multiply(b,e),f),X1)) != multiply(multiply(multiply(a,multiply(b,c)),X0),multiply(multiply(multiply(d,e),f),X1)),
inference(superposition,[],[f156,f3]) ).
fof(f632,plain,
! [X2,X0,X1] : multiply(multiply(multiply(a,X0),multiply(multiply(d,c),X1)),multiply(multiply(multiply(b,e),f),X2)) != multiply(multiply(multiply(a,multiply(b,c)),multiply(X0,X1)),multiply(multiply(multiply(d,e),f),X2)),
inference(superposition,[],[f612,f3]) ).
fof(f1078,plain,
! [X2,X0,X1] : multiply(multiply(multiply(a,multiply(b,c)),multiply(X0,X1)),multiply(multiply(multiply(d,e),f),X2)) != multiply(multiply(multiply(a,X0),multiply(multiply(b,e),f)),multiply(multiply(multiply(d,c),X1),X2)),
inference(superposition,[],[f632,f3]) ).
fof(f1557,plain,
! [X2,X0,X1] : multiply(multiply(multiply(a,X0),multiply(multiply(b,c),X1)),multiply(multiply(multiply(d,e),f),X2)) != multiply(multiply(multiply(a,X0),multiply(multiply(b,e),f)),multiply(multiply(multiply(d,c),X1),X2)),
inference(superposition,[],[f1078,f3]) ).
fof(f2169,plain,
! [X2,X0,X1] : multiply(multiply(multiply(a,X0),multiply(multiply(b,e),f)),multiply(multiply(multiply(d,c),X1),X2)) != multiply(multiply(multiply(a,X0),multiply(multiply(d,e),f)),multiply(multiply(multiply(b,c),X1),X2)),
inference(superposition,[],[f1557,f3]) ).
fof(f4161,plain,
! [X2,X0,X1] : multiply(multiply(multiply(a,X0),multiply(multiply(d,e),f)),multiply(multiply(multiply(b,c),X1),X2)) != multiply(multiply(multiply(a,multiply(b,e)),multiply(X0,f)),multiply(multiply(multiply(d,c),X1),X2)),
inference(superposition,[],[f2169,f3]) ).
fof(f4705,plain,
! [X2,X0,X1] : multiply(multiply(multiply(a,multiply(b,e)),multiply(X0,f)),multiply(multiply(multiply(d,c),X1),X2)) != multiply(multiply(multiply(a,multiply(d,e)),multiply(X0,f)),multiply(multiply(multiply(b,c),X1),X2)),
inference(superposition,[],[f4161,f3]) ).
fof(f5275,plain,
! [X0,X1] : multiply(multiply(multiply(a,multiply(b,e)),multiply(X0,f)),multiply(multiply(multiply(d,an_element),multiply(c,an_element)),X1)) != multiply(multiply(multiply(a,multiply(d,e)),multiply(X0,f)),multiply(multiply(multiply(b,c),an_element),X1)),
inference(superposition,[],[f4705,f147]) ).
fof(f5298,plain,
! [X0,X1] : multiply(multiply(multiply(a,multiply(b,e)),multiply(X0,f)),multiply(multiply(multiply(d,an_element),multiply(c,an_element)),X1)) != multiply(multiply(multiply(a,multiply(d,e)),multiply(multiply(b,c),an_element)),multiply(multiply(X0,f),X1)),
inference(forward_demodulation,[],[f5275,f3]) ).
fof(f5302,plain,
! [X0,X1] : multiply(multiply(multiply(a,multiply(b,e)),multiply(X0,f)),multiply(multiply(multiply(d,an_element),multiply(c,an_element)),X1)) != multiply(multiply(multiply(a,multiply(b,c)),multiply(multiply(d,e),an_element)),multiply(multiply(X0,f),X1)),
inference(forward_demodulation,[],[f5298,f3]) ).
fof(f5306,plain,
! [X0,X1] : multiply(multiply(multiply(a,multiply(b,e)),multiply(X0,f)),multiply(multiply(multiply(d,an_element),multiply(c,an_element)),X1)) != multiply(multiply(multiply(a,multiply(b,c)),multiply(multiply(d,an_element),multiply(e,an_element))),multiply(multiply(X0,f),X1)),
inference(forward_demodulation,[],[f5302,f147]) ).
fof(f5309,plain,
! [X0,X1] : multiply(multiply(multiply(a,multiply(b,e)),multiply(X0,f)),multiply(multiply(multiply(d,an_element),multiply(c,an_element)),X1)) != multiply(multiply(multiply(a,multiply(d,an_element)),multiply(multiply(b,c),multiply(e,an_element))),multiply(multiply(X0,f),X1)),
inference(forward_demodulation,[],[f5306,f3]) ).
fof(f5310,plain,
! [X0,X1] : multiply(multiply(multiply(a,multiply(b,e)),multiply(multiply(d,an_element),multiply(c,an_element))),multiply(multiply(X0,f),X1)) != multiply(multiply(multiply(a,multiply(d,an_element)),multiply(multiply(b,c),multiply(e,an_element))),multiply(multiply(X0,f),X1)),
inference(forward_demodulation,[],[f5309,f3]) ).
fof(f5311,plain,
! [X0,X1] : multiply(multiply(multiply(a,multiply(d,an_element)),multiply(multiply(b,e),multiply(c,an_element))),multiply(multiply(X0,f),X1)) != multiply(multiply(multiply(a,multiply(d,an_element)),multiply(multiply(b,c),multiply(e,an_element))),multiply(multiply(X0,f),X1)),
inference(forward_demodulation,[],[f5310,f3]) ).
fof(f5312,plain,
! [X0,X1] : multiply(multiply(multiply(a,multiply(d,an_element)),multiply(multiply(b,c),multiply(e,an_element))),multiply(multiply(X0,f),X1)) != multiply(multiply(multiply(a,multiply(d,an_element)),multiply(multiply(b,c),multiply(e,an_element))),multiply(multiply(X0,f),X1)),
inference(forward_demodulation,[],[f5311,f3]) ).
fof(f5313,plain,
$false,
inference(trivial_inequality_removal,[],[f5312]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG003-1 : TPTP v9.3.1. Bugfixed v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n004.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 19:16:52 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 25.98/4.02 % (668779)Will run a generic schedule for satisfiability detection.
% 25.98/4.02 % (668784)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3570709615_2999 on theBenchmark for (2999ds/0Mi)
% 25.98/4.02 % TRYING [1]
% 25.98/4.02 % TRYING [2]
% 25.98/4.02 % TRYING [3]
% 25.98/4.02 % (668785)% WARNING: option uhcvi not known.
% 25.98/4.02 % (668787)dis+10_1_sil=32000:sp=arity:random_seed=1025744791:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 25.98/4.02 % (668785)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1391907579:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 25.98/4.02 % (668786)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4052995176:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 25.98/4.02 % (668789)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=360373868:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 25.98/4.02 % (668788)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=218757506:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 25.98/4.02 % (668790)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2989333107:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 25.98/4.02 % TRYING [4]
% 25.98/4.02 % (668787)Instruction limit reached!
% 25.98/4.02 % (668787)------------------------------
% 25.98/4.02 % (668787)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.98/4.02 % (668787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.98/4.02 % (668787)CaDiCaL version: 2.1.3
% 25.98/4.02 % (668787)Termination reason: Instruction limit
% 25.98/4.02 % (668787)Termination phase: Saturation
% 25.98/4.02 % (668787)Time elapsed: 0.053 s
% 25.98/4.02 % (668787)Peak memory usage: 11 MB
% 25.98/4.02 % (668787)Instructions burned: 103 (million)
% 25.98/4.02 % (668788)Instruction limit reached!
% 25.98/4.02 % (668788)------------------------------
% 25.98/4.02 % (668788)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.98/4.02 % (668788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.98/4.02 % (668788)CaDiCaL version: 2.1.3
% 25.98/4.02 % (668788)Termination reason: Instruction limit
% 25.98/4.02 % (668788)Termination phase: Saturation
% 25.98/4.02 % (668788)Time elapsed: 0.068 s
% 25.98/4.02 % (668788)Peak memory usage: 12 MB
% 25.98/4.02 % (668788)Instructions burned: 116 (million)
% 25.98/4.02 % (668798)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1429609306:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 25.98/4.02 % TRYING [1]
% 25.98/4.02 % TRYING [2]
% 25.98/4.02 % TRYING [3]
% 25.98/4.02 % (668789)Instruction limit reached!
% 25.98/4.02 % (668789)------------------------------
% 25.98/4.02 % (668789)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.98/4.02 % (668789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.98/4.02 % (668789)CaDiCaL version: 2.1.3
% 25.98/4.02 % (668789)Termination reason: Instruction limit
% 25.98/4.02 % (668789)Termination phase: Saturation
% 25.98/4.02 % (668789)Time elapsed: 0.078 s
% 25.98/4.02 % (668789)Peak memory usage: 12 MB
% 25.98/4.02 % (668789)Instructions burned: 131 (million)
% 25.98/4.02 % (668799)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4229012260:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 25.98/4.02 % (668790)Instruction limit reached!
% 25.98/4.02 % (668790)------------------------------
% 25.98/4.02 % (668790)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.98/4.02 % (668790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.98/4.02 % (668790)CaDiCaL version: 2.1.3
% 25.98/4.02 % (668790)Termination reason: Instruction limit
% 25.98/4.02 % (668790)Termination phase: Saturation
% 25.98/4.02 % (668790)Time elapsed: 0.094 s
% 25.98/4.02 % (668790)Peak memory usage: 13 MB
% 25.98/4.02 % (668790)Instructions burned: 160 (million)
% 25.98/4.02 % (668801)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=3413658542:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 25.98/4.02 % TRYING [4]
% 25.98/4.02 % (668804)ott-21_1_sil=16000:fs=off:random_seed=651998592:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 25.98/4.02 % (668799)Instruction limit reached!
% 25.98/4.02 % (668799)------------------------------
% 25.98/4.02 % (668799)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.98/4.02 % (668799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.81/7.43 % (668799)CaDiCaL version: 2.1.3
% 50.81/7.43 % (668799)Termination reason: Instruction limit
% 50.81/7.43 % (668799)Termination phase: Saturation
% 50.81/7.43 % (668799)Time elapsed: 0.081 s
% 50.81/7.43 % (668799)Peak memory usage: 13 MB
% 50.81/7.43 % (668799)Instructions burned: 134 (million)
% 50.81/7.43 % (668806)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1385545490:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 50.81/7.43 % (668804)Instruction limit reached!
% 50.81/7.43 % (668804)------------------------------
% 50.81/7.43 % (668804)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.81/7.43 % (668804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.81/7.43 % (668804)CaDiCaL version: 2.1.3
% 50.81/7.43 % (668804)Termination reason: Instruction limit
% 50.81/7.43 % (668804)Termination phase: Saturation
% 50.81/7.43 % (668804)Time elapsed: 0.085 s
% 50.81/7.43 % (668804)Peak memory usage: 12 MB
% 50.81/7.43 % (668804)Instructions burned: 181 (million)
% 50.81/7.43 % (668808)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3906231816:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 50.81/7.43 % TRYING [1]
% 50.81/7.43 % TRYING [2]
% 50.81/7.43 % TRYING [3]
% 50.81/7.43 % TRYING [4]
% 50.81/7.43 % (668806)Instruction limit reached!
% 50.81/7.43 % (668806)------------------------------
% 50.81/7.43 % (668806)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.81/7.43 % (668806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.81/7.43 % (668806)CaDiCaL version: 2.1.3
% 50.81/7.43 % (668806)Termination reason: Instruction limit
% 50.81/7.43 % (668806)Termination phase: Saturation
% 50.81/7.43 % (668806)Time elapsed: 0.251 s
% 50.81/7.43 % (668806)Peak memory usage: 13 MB
% 50.81/7.43 % (668806)Instructions burned: 478 (million)
% 50.81/7.43 % (668801)Instruction limit reached!
% 50.81/7.43 % (668801)------------------------------
% 50.81/7.43 % (668801)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.81/7.43 % (668801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.81/7.43 % (668801)CaDiCaL version: 2.1.3
% 50.81/7.43 % (668801)Termination reason: Instruction limit
% 50.81/7.43 % (668801)Termination phase: Saturation
% 50.81/7.43 % (668801)Time elapsed: 0.361 s
% 50.81/7.43 % (668801)Peak memory usage: 15 MB
% 50.81/7.43 % (668801)Instructions burned: 686 (million)
% 50.81/7.43 % (668810)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1092455864:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 50.81/7.43 % (668798)Instruction limit reached!
% 50.81/7.43 % (668798)------------------------------
% 50.81/7.43 % (668798)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.81/7.43 % (668811)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1198819699:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 50.81/7.43 % (668798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.81/7.43 % (668798)CaDiCaL version: 2.1.3
% 50.81/7.43 % (668798)Termination reason: Instruction limit
% 50.81/7.43 % (668798)Termination phase: Finite model building SAT solving
% 50.81/7.43 % (668798)Time elapsed: 0.406 s
% 50.81/7.43 % (668798)Peak memory usage: 14 MB
% 50.81/7.43 % (668798)Instructions burned: 715 (million)
% 50.81/7.43 % (668814)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=2389130426:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 50.81/7.43 % TRYING [14]
% 50.81/7.43 % (668808)Instruction limit reached!
% 50.81/7.43 % (668808)------------------------------
% 50.81/7.43 % (668808)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.81/7.43 % (668808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.81/7.43 % (668808)CaDiCaL version: 2.1.3
% 50.81/7.43 % (668808)Termination reason: Instruction limit
% 50.81/7.43 % (668808)Termination phase: Finite model building SAT solving
% 50.81/7.43 % (668808)Time elapsed: 0.461 s
% 50.81/7.43 % (668808)Peak memory usage: 12 MB
% 50.81/7.43 % (668808)Instructions burned: 865 (million)
% 50.81/7.43 % (668816)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2777128417:i=879:kws=inv_precedence:fsr=off_2992 on theBenchmark for (2992ds/879Mi)
% 50.81/7.43 % (668811)Instruction limit reached!
% 50.81/7.43 % (668811)------------------------------
% 50.81/7.43 % (668811)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.81/7.43 % (668811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 82.42/11.96 % (668811)CaDiCaL version: 2.1.3
% 82.42/11.96 % (668811)Termination reason: Instruction limit
% 82.42/11.96 % (668811)Termination phase: Finite model building constraint generation
% 82.42/11.96 % (668811)Time elapsed: 0.321 s
% 82.42/11.96 % (668811)Peak memory usage: 75 MB
% 82.42/11.96 % (668811)Instructions burned: 889 (million)
% 82.42/11.96 % (668818)fmb+10_1_sil=64000:random_seed=1856246426:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 82.42/11.96 % TRYING [1]
% 82.42/11.96 % TRYING [2]
% 82.42/11.96 % TRYING [3]
% 82.42/11.96 % TRYING [4]
% 82.42/11.96 % (668814)Instruction limit reached!
% 82.42/11.96 % (668814)------------------------------
% 82.42/11.96 % (668814)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 82.42/11.96 % (668814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 82.42/11.96 % (668814)CaDiCaL version: 2.1.3
% 82.42/11.96 % (668814)Termination reason: Instruction limit
% 82.42/11.96 % (668814)Termination phase: Saturation
% 82.42/11.96 % (668814)Time elapsed: 0.425 s
% 82.42/11.96 % (668814)Peak memory usage: 17 MB
% 82.42/11.96 % (668814)Instructions burned: 692 (million)
% 82.42/11.96 % (668820)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=4061166917:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 82.42/11.96 % TRYING [20]
% 82.42/11.96 % (668810)Instruction limit reached!
% 82.42/11.96 % (668810)------------------------------
% 82.42/11.96 % (668810)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 82.42/11.96 % (668810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 82.42/11.96 % (668810)CaDiCaL version: 2.1.3
% 82.42/11.96 % (668810)Termination reason: Instruction limit
% 82.42/11.96 % (668810)Termination phase: Saturation
% 82.42/11.96 % (668810)Time elapsed: 0.630 s
% 82.42/11.96 % (668810)Peak memory usage: 20 MB
% 82.42/11.96 % (668810)Instructions burned: 1181 (million)
% 82.42/11.96 % (668822)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=644713458:fmbsr=1.7:i=920_2988 on theBenchmark for (2988ds/920Mi)
% 82.42/11.96 % TRYING [8]
% 82.42/11.96 % (668816)Instruction limit reached!
% 82.42/11.96 % (668816)------------------------------
% 82.42/11.96 % (668816)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 82.42/11.96 % (668816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 82.42/11.96 % (668816)CaDiCaL version: 2.1.3
% 82.42/11.96 % (668816)Termination reason: Instruction limit
% 82.42/11.96 % (668816)Termination phase: Saturation
% 82.42/11.96 % (668816)Time elapsed: 0.460 s
% 82.42/11.96 % (668816)Peak memory usage: 17 MB
% 82.42/11.96 % (668816)Instructions burned: 879 (million)
% 82.42/11.96 % (668824)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=4179396911:i=5131_2987 on theBenchmark for (2987ds/5131Mi)
% 82.42/11.96 % TRYING [5]
% 82.42/11.96 % (668822)Instruction limit reached!
% 82.42/11.96 % (668822)------------------------------
% 82.42/11.96 % (668822)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 82.42/11.96 % (668822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 82.42/11.96 % (668822)CaDiCaL version: 2.1.3
% 82.42/11.96 % (668822)Termination reason: Instruction limit
% 82.42/11.96 % (668822)Termination phase: Finite model building constraint generation
% 82.42/11.96 % (668822)Time elapsed: 0.335 s
% 82.42/11.96 % (668822)Peak memory usage: 62 MB
% 82.42/11.96 % (668822)Instructions burned: 922 (million)
% 82.42/11.96 % (668826)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=595294380:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 82.42/11.96 % (668826)Instruction limit reached!
% 82.42/11.96 % (668826)------------------------------
% 82.42/11.96 % (668826)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 82.42/11.96 % (668826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 82.42/11.96 % (668826)CaDiCaL version: 2.1.3
% 82.42/11.96 % (668826)Termination reason: Instruction limit
% 82.42/11.96 % (668826)Termination phase: Saturation
% 82.42/11.96 % (668826)Time elapsed: 0.749 s
% 82.42/11.96 % (668826)Peak memory usage: 31 MB
% 82.42/11.96 % (668826)Instructions burned: 1474 (million)
% 82.42/11.96 % (668828)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2615987984:i=6324_2977 on theBenchmark for (2977ds/6324Mi)
% 82.42/11.96 % TRYING [77]
% 82.42/11.96 % (668824)Instruction limit reached!
% 82.42/11.96 % (668824)------------------------------
% 82.42/11.96 % (668824)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 82.42/11.96 % (668824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 82.42/11.96 % (668824)CaDiCaL version: 2.1.3
% 82.42/11.96 % (668824)Termination reason: Instruction limit
% 82.42/11.96 % (668824)Termination phase: Saturation
% 82.42/11.96 % (668824)Time elapsed: 2.554 s
% 82.42/11.96 % (668824)Peak memory usage: 36 MB
% 82.42/11.96 % (668824)Instructions burned: 5131 (million)
% 82.42/11.96 % (668830)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=945180854:fmbsr=2.30978:i=2174_2962 on theBenchmark for (2962ds/2174Mi)
% 82.42/11.96 % TRYING [16]
% 82.42/11.96 % (668820)Instruction limit reached!
% 82.42/11.96 % (668820)------------------------------
% 82.42/11.96 % (668820)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 82.42/11.96 % (668820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 82.42/11.96 % (668820)CaDiCaL version: 2.1.3
% 82.42/11.96 % (668820)Termination reason: Instruction limit
% 82.42/11.96 % (668820)Termination phase: Finite model building constraint generation
% 82.42/11.96 % (668820)Time elapsed: 3.408 s
% 82.42/11.96 % (668820)Peak memory usage: 664 MB
% 82.42/11.96 % (668820)Instructions burned: 9517 (million)
% 82.42/11.96 % (668832)ott-2_1_sil=16000:newcnf=on:random_seed=3503614613:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2955 on theBenchmark for (2955ds/869Mi)
% 82.42/11.96 % (668830)Instruction limit reached!
% 82.42/11.96 % (668830)------------------------------
% 82.42/11.96 % (668830)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 82.42/11.96 % (668830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 82.42/11.96 % (668830)CaDiCaL version: 2.1.3
% 82.42/11.96 % (668830)Termination reason: Instruction limit
% 82.42/11.96 % (668830)Termination phase: Finite model building constraint generation
% 82.42/11.96 % (668830)Time elapsed: 0.725 s
% 82.42/11.96 % (668830)Peak memory usage: 133 MB
% 82.42/11.96 % (668830)Instructions burned: 2175 (million)
% 82.42/11.96 % (668834)ott+10_1_sil=32000:tgt=ground:random_seed=1948492556:i=5114:av=off_2954 on theBenchmark for (2954ds/5114Mi)
% 82.42/11.96 % (668828)Instruction limit reached!
% 82.42/11.96 % (668828)------------------------------
% 82.42/11.96 % (668828)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 82.42/11.96 % (668828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 82.42/11.96 % (668828)CaDiCaL version: 2.1.3
% 82.42/11.96 % (668828)Termination reason: Instruction limit
% 82.42/11.96 % (668828)Termination phase: Finite model building constraint generation
% 82.42/11.96 % (668828)Time elapsed: 2.311 s
% 82.42/11.96 % (668828)Peak memory usage: 471 MB
% 82.42/11.96 % (668828)Instructions burned: 6324 (million)
% 82.42/11.96 % (668836)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=369328785:i=54282_2953 on theBenchmark for (2953ds/54282Mi)
% 82.42/11.96 % TRYING [1]
% 82.42/11.96 % TRYING [2]
% 82.42/11.96 % TRYING [3]
% 82.42/11.96 % TRYING [4]
% 82.42/11.96 % (668832)Instruction limit reached!
% 82.42/11.96 % (668832)------------------------------
% 82.42/11.96 % (668832)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 82.42/11.96 % (668832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 82.42/11.96 % (668832)CaDiCaL version: 2.1.3
% 82.42/11.96 % (668832)Termination reason: Instruction limit
% 82.42/11.96 % (668832)Termination phase: Saturation
% 82.42/11.96 % (668832)Time elapsed: 0.516 s
% 82.42/11.96 % (668832)Peak memory usage: 18 MB
% 82.42/11.96 % (668832)Instructions burned: 870 (million)
% 82.42/11.96 % (668838)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2746240507:i=3512:aac=none_2949 on theBenchmark for (2949ds/3512Mi)
% 82.42/11.96 % TRYING [5]
% 82.42/11.96 % (668838)Instruction limit reached!
% 82.42/11.96 % (668838)------------------------------
% 82.42/11.96 % (668838)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 82.42/11.96 % (668838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 82.42/11.96 % (668838)CaDiCaL version: 2.1.3
% 82.42/11.96 % (668838)Termination reason: Instruction limit
% 82.42/11.96 % (668838)Termination phase: Saturation
% 82.42/11.96 % (668838)Time elapsed: 1.722 s
% 82.42/11.96 % (668838)Peak memory usage: 26 MB
% 82.42/11.96 % (668838)Instructions burned: 3513 (million)
% 82.42/11.96 % (668840)dis+21_1_sil=32000:sas=cadical:random_seed=32509715:i=3773:amm=off_2932 on theBenchmark for (2932ds/3773Mi)
% 82.42/11.96 % TRYING [5]
% 82.42/11.96 % (668834)Instruction limit reached!
% 82.42/11.96 % (668834)------------------------------
% 82.42/11.96 % (668834)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 82.42/11.96 % (668834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 82.42/11.96 % (668834)CaDiCaL version: 2.1.3
% 82.42/11.96 % (668834)Termination reason: Instruction limit
% 82.42/11.96 % (668834)Termination phase: Saturation
% 82.42/11.96 % (668834)Time elapsed: 2.629 s
% 82.42/11.96 % (668834)Peak memory usage: 51 MB
% 82.42/11.96 % (668834)Instructions burned: 5116 (million)
% 82.42/11.96 % (668842)ott+11_1_sil=16000:gs=on:random_seed=410340501:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2928 on theBenchmark for (2928ds/2251Mi)
% 82.42/11.96 % (668842)Instruction limit reached!
% 82.42/11.96 % (668842)------------------------------
% 82.42/11.96 % (668842)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 82.42/11.96 % (668842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 82.42/11.96 % (668842)CaDiCaL version: 2.1.3
% 82.42/11.96 % (668842)Termination reason: Instruction limit
% 82.42/11.96 % (668842)Termination phase: Saturation
% 82.42/11.96 % (668842)Time elapsed: 1.368 s
% 82.42/11.96 % (668842)Peak memory usage: 27 MB
% 82.42/11.96 % (668842)Instructions burned: 2252 (million)
% 82.42/11.96 % (668844)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=1638486954:fmbsr=1.6:i=67534_2914 on theBenchmark for (2914ds/67534Mi)
% 82.42/11.96 % TRYING [7]
% 82.42/11.96 % (668840)Instruction limit reached!
% 82.42/11.96 % (668840)------------------------------
% 82.42/11.96 % (668840)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 82.42/11.96 % (668840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 82.42/11.96 % (668840)CaDiCaL version: 2.1.3
% 82.42/11.96 % (668840)Termination reason: Instruction limit
% 82.42/11.96 % (668840)Termination phase: Saturation
% 82.42/11.96 % (668840)Time elapsed: 1.874 s
% 82.42/11.96 % (668840)Peak memory usage: 28 MB
% 82.42/11.96 % (668840)Instructions burned: 3775 (million)
% 82.42/11.96 % (668846)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=1588164373:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2913 on theBenchmark for (2913ds/4591Mi)
% 82.42/11.96 % (668846)Instruction limit reached!
% 82.42/11.96 % (668846)------------------------------
% 82.42/11.96 % (668846)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 82.42/11.96 % (668846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 82.42/11.96 % (668846)CaDiCaL version: 2.1.3
% 82.42/11.96 % (668846)Termination reason: Instruction limit
% 82.42/11.96 % (668846)Termination phase: Saturation
% 82.42/11.96 % (668846)Time elapsed: 2.684 s
% 82.42/11.96 % (668846)Peak memory usage: 90 MB
% 82.42/11.96 % (668846)Instructions burned: 4592 (million)
% 82.42/11.96 % (668848)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=534781273:i=29340_2886 on theBenchmark for (2886ds/29340Mi)
% 82.42/11.96 % (668848) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-668779-668848"...
% 82.42/11.96 % (668848)...printing done.
% 82.42/11.96 % (668848)Refutation found. Thanks to Tanya!
% 82.42/11.96 % SZS status Unsatisfiable for theBenchmark
% 82.42/11.96 % SZS output start Proof for theBenchmark
% See solution above
% 82.42/11.96 % (668848)------------------------------
% 82.42/11.96 % (668848)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 82.42/11.96 % (668848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 82.42/11.96 % (668848)CaDiCaL version: 2.1.3
% 82.42/11.96 % (668848)Termination reason: Refutation
% 82.42/11.96 % (668848)Time elapsed: 0.295 s
% 82.42/11.96 % (668848)Peak memory usage: 14 MB
% 82.42/11.96 % (668848)Instructions burned: 628 (million)
% 82.42/11.96 % (668779)Success in time 11.725 s
% 82.42/11.96 % Vampire exiting
%------------------------------------------------------------------------------