%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : FLD025-2 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n018.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 09:49:36 AM UTC 2026
% Result : Unsatisfiable 4.40s 0.98s
% Output : Refutation 4.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of formulae : 30 ( 19 unt; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 29 ( 15 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0,X1] :
( ~ defined(X0)
| equalish(multiply(X0,X1),multiply(X1,X0))
| ~ defined(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',commutativity_multiplication) ).
fof(f22,axiom,
! [X0,X1] :
( ~ equalish(X1,X0)
| equalish(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',symmetry_of_equality) ).
fof(f23,axiom,
! [X2,X0,X1] :
( ~ equalish(X0,X2)
| equalish(X0,X1)
| ~ equalish(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',transitivity_of_equality) ).
fof(f25,axiom,
! [X2,X0,X1] :
( ~ defined(X1)
| equalish(multiply(X0,X1),multiply(X2,X1))
| ~ equalish(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',compatibility_of_equality_and_multiplication) ).
fof(f29,axiom,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).
fof(f30,axiom,
defined(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_is_defined) ).
fof(f34,negated_conjecture,
equalish(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_equals_b_7) ).
fof(f35,negated_conjecture,
equalish(c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_equals_d_8) ).
fof(f36,negated_conjecture,
equalish(multiply(a,c),u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_equals_u_9) ).
fof(f37,negated_conjecture,
equalish(multiply(d,b),v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_equals_v_10) ).
fof(f38,negated_conjecture,
~ equalish(v,u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_not_equal_to_u_11) ).
fof(f47,plain,
equalish(u,multiply(a,c)),
inference(resolution,[],[f22,f36]) ).
fof(f48,plain,
equalish(v,multiply(d,b)),
inference(resolution,[],[f22,f37]) ).
fof(f52,plain,
equalish(d,c),
inference(resolution,[],[f22,f35]) ).
fof(f106,plain,
! [X0] :
( ~ equalish(multiply(a,c),X0)
| equalish(u,X0) ),
inference(resolution,[],[f23,f47]) ).
fof(f108,plain,
! [X0] :
( ~ equalish(multiply(d,b),X0)
| equalish(v,X0) ),
inference(resolution,[],[f23,f48]) ).
fof(f118,plain,
! [X0] :
( ~ defined(X0)
| equalish(multiply(b,X0),multiply(X0,b)) ),
inference(resolution,[],[f8,f29]) ).
fof(f135,plain,
! [X0,X1] :
( ~ equalish(X0,X1)
| equalish(multiply(X0,b),multiply(X1,b)) ),
inference(resolution,[],[f25,f29]) ).
fof(f136,plain,
! [X0,X1] :
( ~ equalish(X0,X1)
| equalish(multiply(X0,c),multiply(X1,c)) ),
inference(resolution,[],[f25,f30]) ).
fof(f1937,plain,
equalish(multiply(b,c),multiply(c,b)),
inference(resolution,[],[f118,f30]) ).
fof(f4878,plain,
equalish(multiply(d,b),multiply(c,b)),
inference(resolution,[],[f135,f52]) ).
fof(f4896,plain,
equalish(v,multiply(c,b)),
inference(resolution,[],[f4878,f108]) ).
fof(f4904,plain,
! [X0] :
( ~ equalish(multiply(c,b),X0)
| equalish(v,X0) ),
inference(resolution,[],[f4896,f23]) ).
fof(f4960,plain,
equalish(multiply(a,c),multiply(b,c)),
inference(resolution,[],[f136,f34]) ).
fof(f4973,plain,
equalish(u,multiply(b,c)),
inference(resolution,[],[f4960,f106]) ).
fof(f4983,plain,
! [X0] :
( ~ equalish(multiply(b,c),X0)
| equalish(u,X0) ),
inference(resolution,[],[f4973,f23]) ).
fof(f9113,plain,
equalish(u,multiply(c,b)),
inference(resolution,[],[f1937,f4983]) ).
fof(f9128,plain,
equalish(multiply(c,b),u),
inference(resolution,[],[f9113,f22]) ).
fof(f9137,plain,
equalish(v,u),
inference(resolution,[],[f9128,f4904]) ).
fof(f9146,plain,
$false,
inference(forward_subsumption_resolution,[],[f9137,f38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD025-2 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.19 % Computer : n018.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Sep 29 00:30:41 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.22 Running first-order model finding
% 0.07/0.22 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
% 4.40/0.98 % (3941293)Will run a generic schedule for satisfiability detection.
% 4.40/0.98 % (3941303)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2057010358:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.40/0.98 % (3941299)% WARNING: option uhcvi not known.
% 4.40/0.98 % (3941301)dis+10_1_sil=32000:sp=arity:random_seed=3111293689:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.40/0.98 % (3941298)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=337529740_2999 on theBenchmark for (2999ds/0Mi)
% 4.40/0.98 % (3941299)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2762230347:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.40/0.98 % (3941300)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1943733674:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.40/0.98 % (3941304)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2686453996:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.40/0.98 % (3941302)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1544374862:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.40/0.98 % TRYING [1]
% 4.40/0.98 % TRYING [2]
% 4.40/0.98 % TRYING [3]
% 4.40/0.98 % TRYING [4]
% 4.40/0.98 % (3941303)Instruction limit reached!
% 4.40/0.98 % (3941303)------------------------------
% 4.40/0.98 % (3941303)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.40/0.98 % (3941303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.40/0.98 % (3941303)CaDiCaL version: 2.1.3
% 4.40/0.98 % (3941303)Termination reason: Instruction limit
% 4.40/0.98 % (3941303)Termination phase: Saturation
% 4.40/0.98 % (3941303)Time elapsed: 0.043 s
% 4.40/0.98 % (3941303)Peak memory usage: 15 MB
% 4.40/0.98 % (3941303)Instructions burned: 134 (million)
% 4.40/0.98 % (3941312)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2819276950:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.40/0.98 % TRYING [1]
% 4.40/0.98 % TRYING [2]
% 4.40/0.98 % TRYING [3]
% 4.40/0.98 % TRYING [4]
% 4.40/0.98 % (3941301)Instruction limit reached!
% 4.40/0.98 % (3941301)------------------------------
% 4.40/0.98 % (3941301)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.40/0.98 % (3941302)Instruction limit reached!
% 4.40/0.98 % (3941302)------------------------------
% 4.40/0.98 % (3941302)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.40/0.98 % (3941301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.40/0.98 % (3941301)CaDiCaL version: 2.1.3
% 4.40/0.98 % (3941301)Termination reason: Instruction limit
% 4.40/0.98 % (3941301)Termination phase: Saturation
% 4.40/0.98 % (3941301)Time elapsed: 0.074 s
% 4.40/0.98 % (3941301)Peak memory usage: 12 MB
% 4.40/0.98 % (3941301)Instructions burned: 116 (million)
% 4.40/0.98 % (3941302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.40/0.98 % (3941302)CaDiCaL version: 2.1.3
% 4.40/0.98 % (3941302)Termination reason: Instruction limit
% 4.40/0.98 % (3941302)Termination phase: Saturation
% 4.40/0.98 % (3941302)Time elapsed: 0.073 s
% 4.40/0.98 % (3941302)Peak memory usage: 12 MB
% 4.40/0.98 % (3941302)Instructions burned: 128 (million)
% 4.40/0.98 % (3941315)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3669823883:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 4.40/0.98 % (3941316)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=1706751733:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 4.40/0.98 % TRYING [5]
% 4.40/0.98 % TRYING [5]
% 4.40/0.98 % (3941304)Instruction limit reached!
% 4.40/0.98 % (3941304)------------------------------
% 4.40/0.98 % (3941304)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.40/0.98 % (3941304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.40/0.98 % (3941304)CaDiCaL version: 2.1.3
% 4.40/0.98 % (3941304)Termination reason: Instruction limit
% 4.40/0.98 % (3941304)Termination phase: Saturation
% 4.40/0.98 % (3941304)Time elapsed: 0.107 s
% 4.40/0.98 % (3941304)Peak memory usage: 13 MB
% 4.40/0.98 % (3941304)Instructions burned: 159 (million)
% 4.40/0.98 % (3941319)ott-21_1_sil=16000:fs=off:random_seed=4239265238:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 4.40/0.98 % (3941315)Instruction limit reached!
% 4.40/0.98 % (3941315)------------------------------
% 4.40/0.98 % (3941315)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.40/0.98 % (3941315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.40/0.98 % (3941315)CaDiCaL version: 2.1.3
% 4.40/0.98 % (3941315)Termination reason: Instruction limit
% 4.40/0.98 % (3941315)Termination phase: Saturation
% 4.40/0.98 % (3941315)Time elapsed: 0.071 s
% 4.40/0.98 % (3941315)Peak memory usage: 15 MB
% 4.40/0.98 % (3941315)Instructions burned: 131 (million)
% 4.40/0.98 % TRYING [6]
% 4.40/0.98 % (3941321)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3118510346:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 4.40/0.98 % (3941319)Instruction limit reached!
% 4.40/0.98 % (3941319)------------------------------
% 4.40/0.98 % (3941319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.40/0.98 % (3941319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.40/0.98 % (3941319)CaDiCaL version: 2.1.3
% 4.40/0.98 % (3941319)Termination reason: Instruction limit
% 4.40/0.98 % (3941319)Termination phase: Saturation
% 4.40/0.98 % (3941319)Time elapsed: 0.101 s
% 4.40/0.98 % (3941319)Peak memory usage: 12 MB
% 4.40/0.98 % (3941319)Instructions burned: 181 (million)
% 4.40/0.98 % (3941312)Instruction limit reached!
% 4.40/0.98 % (3941312)------------------------------
% 4.40/0.98 % (3941312)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.40/0.98 % (3941312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.40/0.98 % (3941312)CaDiCaL version: 2.1.3
% 4.40/0.98 % (3941312)Termination reason: Instruction limit
% 4.40/0.98 % (3941312)Termination phase: Finite model building SAT solving
% 4.40/0.98 % (3941312)Time elapsed: 0.190 s
% 4.40/0.98 % (3941312)Peak memory usage: 25 MB
% 4.40/0.98 % (3941312)Instructions burned: 716 (million)
% 4.40/0.98 % (3941323)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3881857040:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 4.40/0.98 % (3941324)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1719751574:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 4.40/0.98 % TRYING [1]
% 4.40/0.98 % TRYING [2]
% 4.40/0.98 % TRYING [3]
% 4.40/0.98 % TRYING [4]
% 4.40/0.98 % TRYING [5]
% 4.40/0.98 % TRYING [6]
% 4.40/0.98 % TRYING [6]
% 4.40/0.98 % (3941316)Instruction limit reached!
% 4.40/0.98 % (3941316)------------------------------
% 4.40/0.98 % (3941316)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.40/0.98 % (3941316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.40/0.98 % (3941316)CaDiCaL version: 2.1.3
% 4.40/0.98 % (3941316)Termination reason: Instruction limit
% 4.40/0.98 % (3941316)Termination phase: Saturation
% 4.40/0.98 % (3941316)Time elapsed: 0.379 s
% 4.40/0.98 % (3941316)Peak memory usage: 19 MB
% 4.40/0.98 % (3941316)Instructions burned: 684 (million)
% 4.40/0.98 % (3941321)Instruction limit reached!
% 4.40/0.98 % (3941321)------------------------------
% 4.40/0.98 % (3941321)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.40/0.98 % (3941321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.40/0.98 % (3941321)CaDiCaL version: 2.1.3
% 4.40/0.98 % (3941321)Termination reason: Instruction limit
% 4.40/0.98 % (3941321)Termination phase: Saturation
% 4.40/0.98 % (3941321)Time elapsed: 0.300 s
% 4.40/0.98 % (3941321)Peak memory usage: 15 MB
% 4.40/0.98 % (3941321)Instructions burned: 477 (million)
% 4.40/0.98 % (3941327)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1321596022:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 4.40/0.98 % (3941328)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=612877860: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)
% 4.40/0.98 % (3941323)Instruction limit reached!
% 4.40/0.98 % (3941323)------------------------------
% 4.40/0.98 % (3941323)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.40/0.98 % (3941323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.40/0.98 % (3941323)CaDiCaL version: 2.1.3
% 4.40/0.98 % (3941323)Termination reason: Instruction limit
% 4.40/0.98 % (3941323)Termination phase: Finite model building SAT solving
% 4.40/0.98 % (3941323)Time elapsed: 0.327 s
% 4.40/0.98 % (3941323)Peak memory usage: 21 MB
% 4.40/0.98 % (3941323)Instructions burned: 866 (million)
% 4.40/0.98 % TRYING [14]
% 4.40/0.98 % (3941331)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=101721559:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 4.40/0.98 % (3941324)Instruction limit reached!
% 4.40/0.98 % (3941324)------------------------------
% 4.40/0.98 % (3941324)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.40/0.98 % (3941324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.40/0.98 % (3941324)CaDiCaL version: 2.1.3
% 4.40/0.98 % (3941324)Termination reason: Instruction limit
% 4.40/0.98 % (3941324)Termination phase: Saturation
% 4.40/0.98 % (3941324)Time elapsed: 0.378 s
% 4.40/0.98 % (3941324)Peak memory usage: 31 MB
% 4.40/0.98 % (3941324)Instructions burned: 1181 (million)
% 4.40/0.98 % (3941333)fmb+10_1_sil=64000:random_seed=2608074649:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 4.40/0.98 % TRYING [1]
% 4.40/0.98 % TRYING [2]
% 4.40/0.98 % TRYING [3]
% 4.40/0.98 % TRYING [4]
% 4.40/0.98 % TRYING [5]
% 4.40/0.98 % (3941328) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3941293-3941328"...
% 4.40/0.98 % (3941328)...printing done.
% 4.40/0.98 % (3941328)Refutation found. Thanks to Tanya!
% 4.40/0.98 % SZS status Unsatisfiable for theBenchmark
% 4.40/0.98 % SZS output start Proof for theBenchmark
% See solution above
% 4.40/0.98 % (3941328)------------------------------
% 4.40/0.98 % (3941328)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.40/0.98 % (3941328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.40/0.98 % (3941328)CaDiCaL version: 2.1.3
% 4.40/0.98 % (3941328)Termination reason: Refutation
% 4.40/0.98 % (3941328)Time elapsed: 0.201 s
% 4.40/0.98 % (3941328)Peak memory usage: 20 MB
% 4.40/0.98 % (3941328)Instructions burned: 355 (million)
% 4.40/0.98 % (3941293)Success in time 0.75 s
% 4.40/0.98 % Vampire exiting
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