%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : FLD025-1 : 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 : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:49:36 AM UTC 2026
% Result : Unsatisfiable 3.83s 0.86s
% Output : Refutation 3.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 29 ( 15 unt; 2 def)
% Number of atoms : 52 ( 4 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 48 ( 25 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0,X1] :
( equalish(multiply(X0,X1),multiply(X1,X0))
| ~ defined(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(X2,X1)
| ~ equalish(X0,X2)
| equalish(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',transitivity_of_equality) ).
fof(f25,axiom,
! [X2,X0,X1] :
( equalish(multiply(X0,X1),multiply(X2,X1))
| ~ defined(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(f32,negated_conjecture,
equalish(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_equals_b_5) ).
fof(f33,negated_conjecture,
equalish(c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_equals_d_6) ).
fof(f34,negated_conjecture,
~ equalish(multiply(a,c),multiply(d,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_not_equal_to_multiply_7) ).
fof(f35,definition,
sF0 = multiply(a,c),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f36,plain,
multiply(a,c) = sF0,
inference(reorient_equations,[],[f35]) ).
fof(f37,definition,
sF1 = multiply(d,b),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f38,plain,
multiply(d,b) = sF1,
inference(reorient_equations,[],[f37]) ).
fof(f39,plain,
~ equalish(sF0,sF1),
inference(definition_folding,[],[f34,f38,f36]) ).
fof(f114,plain,
! [X2,X0,X1] :
( ~ equalish(X2,multiply(X0,X1))
| ~ defined(X1)
| ~ defined(X0)
| equalish(X2,multiply(X1,X0)) ),
inference(resolution,[],[f8,f23]) ).
fof(f186,plain,
! [X2,X0,X1] :
( ~ equalish(X1,X2)
| ~ defined(X0)
| equalish(multiply(X2,X0),multiply(X1,X0)) ),
inference(resolution,[],[f25,f22]) ).
fof(f190,plain,
! [X0] :
( equalish(multiply(X0,b),sF1)
| ~ defined(b)
| ~ equalish(X0,d) ),
inference(superposition,[],[f25,f38]) ).
fof(f191,plain,
! [X0] :
( equalish(multiply(X0,b),sF1)
| ~ equalish(X0,d) ),
inference(forward_subsumption_resolution,[],[f190,f29]) ).
fof(f522,plain,
! [X0,X1] :
( ~ equalish(X1,multiply(X0,b))
| ~ equalish(X0,d)
| equalish(X1,sF1) ),
inference(resolution,[],[f191,f23]) ).
fof(f1203,plain,
! [X0] :
( equalish(multiply(b,X0),multiply(a,X0))
| ~ defined(X0) ),
inference(resolution,[],[f186,f32]) ).
fof(f1946,plain,
( equalish(multiply(b,c),sF0)
| ~ defined(c) ),
inference(superposition,[],[f1203,f36]) ).
fof(f1949,plain,
equalish(multiply(b,c),sF0),
inference(forward_subsumption_resolution,[],[f1946,f30]) ).
fof(f1957,plain,
equalish(sF0,multiply(b,c)),
inference(resolution,[],[f1949,f22]) ).
fof(f2086,plain,
( ~ defined(c)
| ~ defined(b)
| equalish(sF0,multiply(c,b)) ),
inference(resolution,[],[f1957,f114]) ).
fof(f2092,plain,
( ~ defined(b)
| equalish(sF0,multiply(c,b)) ),
inference(forward_subsumption_resolution,[],[f2086,f30]) ).
fof(f2094,plain,
equalish(sF0,multiply(c,b)),
inference(forward_subsumption_resolution,[],[f2092,f29]) ).
fof(f7382,plain,
( ~ equalish(c,d)
| equalish(sF0,sF1) ),
inference(resolution,[],[f522,f2094]) ).
fof(f7391,plain,
equalish(sF0,sF1),
inference(forward_subsumption_resolution,[],[f7382,f33]) ).
fof(f7412,plain,
$false,
inference(forward_subsumption_resolution,[],[f7391,f39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD025-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n015.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 00:31:32 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 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
% 3.83/0.86 % (3197234)Will run a generic schedule for satisfiability detection.
% 3.83/0.86 % (3197240)% WARNING: option uhcvi not known.
% 3.83/0.86 % (3197240)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1413309826:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 3.83/0.86 % (3197244)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=266028605:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 3.83/0.86 % (3197241)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2739100133:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 3.83/0.86 % (3197239)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2825669572_2999 on theBenchmark for (2999ds/0Mi)
% 3.83/0.86 % (3197242)dis+10_1_sil=32000:sp=arity:random_seed=1468990906:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 3.83/0.86 % (3197243)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1427996500:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 3.83/0.86 % (3197245)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2308176831:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 3.83/0.86 % TRYING [1]
% 3.83/0.86 % TRYING [2]
% 3.83/0.86 % TRYING [3]
% 3.83/0.86 % TRYING [4]
% 3.83/0.86 % (3197242)Instruction limit reached!
% 3.83/0.86 % (3197242)------------------------------
% 3.83/0.86 % (3197242)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.83/0.86 % (3197242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.83/0.86 % (3197242)CaDiCaL version: 2.1.3
% 3.83/0.86 % (3197242)Termination reason: Instruction limit
% 3.83/0.86 % (3197242)Termination phase: Saturation
% 3.83/0.86 % (3197242)Time elapsed: 0.064 s
% 3.83/0.86 % (3197242)Peak memory usage: 12 MB
% 3.83/0.86 % (3197242)Instructions burned: 104 (million)
% 3.83/0.86 % (3197243)Instruction limit reached!
% 3.83/0.86 % (3197243)------------------------------
% 3.83/0.86 % (3197243)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.83/0.86 % (3197243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.83/0.86 % (3197243)CaDiCaL version: 2.1.3
% 3.83/0.86 % (3197243)Termination reason: Instruction limit
% 3.83/0.86 % (3197243)Termination phase: Saturation
% 3.83/0.86 % (3197243)Time elapsed: 0.064 s
% 3.83/0.86 % (3197243)Peak memory usage: 12 MB
% 3.83/0.86 % (3197243)Instructions burned: 116 (million)
% 3.83/0.86 % (3197244)Instruction limit reached!
% 3.83/0.86 % (3197244)------------------------------
% 3.83/0.86 % (3197244)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.83/0.86 % (3197244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.83/0.86 % (3197244)CaDiCaL version: 2.1.3
% 3.83/0.86 % (3197244)Termination reason: Instruction limit
% 3.83/0.86 % (3197244)Termination phase: Saturation
% 3.83/0.86 % (3197244)Time elapsed: 0.073 s
% 3.83/0.86 % (3197244)Peak memory usage: 16 MB
% 3.83/0.86 % (3197244)Instructions burned: 132 (million)
% 3.83/0.86 % TRYING [5]
% 3.83/0.86 % (3197254)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4137955606:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 3.83/0.86 % (3197253)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1788481525:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 3.83/0.86 % TRYING [1]
% 3.83/0.86 % TRYING [2]
% 3.83/0.86 % TRYING [3]
% 3.83/0.86 % (3197255)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=1240352978:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 3.83/0.86 % TRYING [4]
% 3.83/0.86 % (3197245)Instruction limit reached!
% 3.83/0.86 % (3197245)------------------------------
% 3.83/0.86 % (3197245)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.83/0.86 % (3197245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.83/0.86 % (3197245)CaDiCaL version: 2.1.3
% 3.83/0.86 % (3197245)Termination reason: Instruction limit
% 3.83/0.86 % (3197245)Termination phase: Saturation
% 3.83/0.86 % (3197245)Time elapsed: 0.101 s
% 3.83/0.86 % (3197245)Peak memory usage: 14 MB
% 3.83/0.86 % (3197245)Instructions burned: 159 (million)
% 3.83/0.86 % (3197259)ott-21_1_sil=16000:fs=off:random_seed=1710752399:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 3.83/0.86 % (3197254)Instruction limit reached!
% 3.83/0.86 % (3197254)------------------------------
% 3.83/0.86 % (3197254)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.83/0.86 % (3197254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.83/0.86 % (3197254)CaDiCaL version: 2.1.3
% 3.83/0.86 % (3197254)Termination reason: Instruction limit
% 3.83/0.86 % (3197254)Termination phase: Saturation
% 3.83/0.86 % (3197254)Time elapsed: 0.074 s
% 3.83/0.86 % (3197254)Peak memory usage: 15 MB
% 3.83/0.86 % (3197254)Instructions burned: 132 (million)
% 3.83/0.86 % TRYING [5]
% 3.83/0.86 % (3197261)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1797588151:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 3.83/0.86 % (3197259)Instruction limit reached!
% 3.83/0.86 % (3197259)------------------------------
% 3.83/0.86 % (3197259)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.83/0.86 % (3197259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.83/0.86 % (3197259)CaDiCaL version: 2.1.3
% 3.83/0.86 % (3197259)Termination reason: Instruction limit
% 3.83/0.86 % (3197259)Termination phase: Saturation
% 3.83/0.86 % (3197259)Time elapsed: 0.100 s
% 3.83/0.86 % (3197259)Peak memory usage: 12 MB
% 3.83/0.86 % (3197259)Instructions burned: 181 (million)
% 3.83/0.86 % TRYING [6]
% 3.83/0.86 % (3197263)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2958198406:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 3.83/0.86 % TRYING [1]
% 3.83/0.86 % TRYING [2]
% 3.83/0.86 % TRYING [3]
% 3.83/0.86 % TRYING [4]
% 3.83/0.86 % TRYING [5]
% 3.83/0.86 % TRYING [6]
% 3.83/0.86 % (3197253)Instruction limit reached!
% 3.83/0.86 % (3197253)------------------------------
% 3.83/0.86 % (3197253)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.83/0.86 % (3197253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.83/0.86 % (3197253)CaDiCaL version: 2.1.3
% 3.83/0.86 % (3197253)Termination reason: Instruction limit
% 3.83/0.86 % (3197253)Termination phase: Finite model building SAT solving
% 3.83/0.86 % (3197253)Time elapsed: 0.355 s
% 3.83/0.86 % (3197253)Peak memory usage: 24 MB
% 3.83/0.86 % (3197253)Instructions burned: 715 (million)
% 3.83/0.86 % TRYING [6]
% 3.83/0.86 % (3197265)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2012847373:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 3.83/0.86 % (3197255)Instruction limit reached!
% 3.83/0.86 % (3197255)------------------------------
% 3.83/0.86 % (3197255)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.83/0.86 % (3197255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.83/0.86 % (3197255)CaDiCaL version: 2.1.3
% 3.83/0.86 % (3197255)Termination reason: Instruction limit
% 3.83/0.86 % (3197255)Termination phase: Saturation
% 3.83/0.86 % (3197255)Time elapsed: 0.384 s
% 3.83/0.86 % (3197255)Peak memory usage: 19 MB
% 3.83/0.86 % (3197255)Instructions burned: 685 (million)
% 3.83/0.86 % (3197261)Instruction limit reached!
% 3.83/0.86 % (3197261)------------------------------
% 3.83/0.86 % (3197261)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.83/0.86 % (3197261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.83/0.86 % (3197261)CaDiCaL version: 2.1.3
% 3.83/0.86 % (3197261)Termination reason: Instruction limit
% 3.83/0.86 % (3197261)Termination phase: Saturation
% 3.83/0.86 % (3197261)Time elapsed: 0.300 s
% 3.83/0.86 % (3197261)Peak memory usage: 15 MB
% 3.83/0.86 % (3197261)Instructions burned: 478 (million)
% 3.83/0.86 % (3197267)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2225591813:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 3.83/0.86 % (3197268)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=2456710589: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)
% 3.83/0.86 % (3197265) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3197234-3197265"...
% 3.83/0.86 % (3197265)...printing done.
% 3.83/0.86 % (3197265)Refutation found. Thanks to Tanya!
% 3.83/0.86 % SZS status Unsatisfiable for theBenchmark
% 3.83/0.86 % SZS output start Proof for theBenchmark
% See solution above
% 3.83/0.86 % (3197265)------------------------------
% 3.83/0.86 % (3197265)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.83/0.86 % (3197265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.83/0.86 % (3197265)CaDiCaL version: 2.1.3
% 3.83/0.86 % (3197265)Termination reason: Refutation
% 3.83/0.86 % (3197265)Time elapsed: 0.111 s
% 3.83/0.86 % (3197265)Peak memory usage: 15 MB
% 3.83/0.86 % (3197265)Instructions burned: 166 (million)
% 3.83/0.86 % (3197234)Success in time 0.618 s
% 3.83/0.86 % Vampire exiting
%------------------------------------------------------------------------------