%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : FLD025-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n026.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 3.86s 0.82s
% Output : Refutation 3.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 27 ( 16 unt; 1 def)
% Number of atoms : 46 ( 2 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 41 ( 22 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X4,X1,X5)
| ~ product(X3,X4,X0)
| product(X0,X1,X2)
| ~ product(X3,X5,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',associativity_multiplication_2) ).
fof(f8,axiom,
! [X0] :
( product(multiplicative_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_identity_multiplication) ).
fof(f10,axiom,
! [X2,X0,X1] :
( ~ product(X1,X0,X2)
| product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',commutativity_multiplication) ).
fof(f20,axiom,
! [X0,X1] :
( product(X0,X1,multiply(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',totality_of_multiplication) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
fof(f28,axiom,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).
fof(f29,axiom,
defined(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_is_defined) ).
fof(f31,negated_conjecture,
product(multiplicative_identity,a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_5) ).
fof(f32,negated_conjecture,
product(multiplicative_identity,c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_6) ).
fof(f33,negated_conjecture,
~ product(d,b,multiply(a,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_product_7) ).
fof(f34,definition,
sF0 = multiply(a,c),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f35,plain,
multiply(a,c) = sF0,
inference(reorient_equations,[],[f34]) ).
fof(f36,plain,
~ product(d,b,sF0),
inference(definition_folding,[],[f33,f35]) ).
fof(f40,plain,
product(a,multiplicative_identity,b),
inference(resolution,[],[f10,f31]) ).
fof(f41,plain,
product(c,multiplicative_identity,d),
inference(resolution,[],[f10,f32]) ).
fof(f54,plain,
( product(a,c,sF0)
| ~ defined(a)
| ~ defined(c) ),
inference(superposition,[],[f20,f35]) ).
fof(f55,plain,
( product(a,c,sF0)
| ~ defined(c) ),
inference(forward_subsumption_resolution,[],[f54,f27]) ).
fof(f56,plain,
product(a,c,sF0),
inference(forward_subsumption_resolution,[],[f55,f29]) ).
fof(f243,plain,
! [X2,X3,X0,X1] :
( ~ product(X0,multiplicative_identity,X1)
| product(X1,X2,X3)
| ~ product(X0,X2,X3)
| ~ defined(X2) ),
inference(resolution,[],[f7,f8]) ).
fof(f828,plain,
! [X0,X1] :
( ~ product(a,X0,X1)
| product(b,X0,X1)
| ~ defined(X0) ),
inference(resolution,[],[f243,f40]) ).
fof(f830,plain,
! [X0,X1] :
( ~ product(c,X0,X1)
| product(d,X0,X1)
| ~ defined(X0) ),
inference(resolution,[],[f243,f41]) ).
fof(f1578,plain,
( product(b,c,sF0)
| ~ defined(c) ),
inference(resolution,[],[f828,f56]) ).
fof(f1590,plain,
product(b,c,sF0),
inference(forward_subsumption_resolution,[],[f1578,f29]) ).
fof(f1596,plain,
product(c,b,sF0),
inference(resolution,[],[f1590,f10]) ).
fof(f1687,plain,
( product(d,b,sF0)
| ~ defined(b) ),
inference(resolution,[],[f1596,f830]) ).
fof(f1704,plain,
~ defined(b),
inference(forward_subsumption_resolution,[],[f1687,f36]) ).
fof(f1705,plain,
$false,
inference(forward_subsumption_resolution,[],[f1704,f28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD025-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.20 % Computer : n026.cluster.edu
% 0.07/0.20 % Model : x86_64 x86_64
% 0.07/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.20 % Memory : 8046.5625MB
% 0.07/0.20 % OS : Linux 6.8.0-71-generic
% 0.07/0.20 % CPULimit : 300
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Tue Sep 29 00:31:12 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.23 Running first-order model finding
% 0.07/0.23 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
% 3.86/0.82 % (246470)Will run a generic schedule for satisfiability detection.
% 3.86/0.82 % (246475)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=622211559_2999 on theBenchmark for (2999ds/0Mi)
% 3.86/0.82 % TRYING [1]
% 3.86/0.82 % TRYING [2]
% 3.86/0.82 % TRYING [3]
% 3.86/0.82 % (246476)% WARNING: option uhcvi not known.
% 3.86/0.82 % TRYING [4]
% 3.86/0.82 % (246480)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2852139804:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 3.86/0.82 % (246476)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3573320344:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 3.86/0.82 % (246477)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2004671842:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 3.86/0.82 % (246478)dis+10_1_sil=32000:sp=arity:random_seed=2574003721:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 3.86/0.82 % (246479)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2039979445:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 3.86/0.82 % (246481)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=270569658:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 3.86/0.82 % TRYING [5]
% 3.86/0.82 % (246479)Instruction limit reached!
% 3.86/0.82 % (246479)------------------------------
% 3.86/0.82 % (246479)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.86/0.82 % (246479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.86/0.82 % (246479)CaDiCaL version: 2.1.3
% 3.86/0.82 % (246479)Termination reason: Instruction limit
% 3.86/0.82 % (246479)Termination phase: Saturation
% 3.86/0.82 % (246479)Time elapsed: 0.064 s
% 3.86/0.82 % (246479)Peak memory usage: 11 MB
% 3.86/0.82 % (246479)Instructions burned: 117 (million)
% 3.86/0.82 % (246478)Instruction limit reached!
% 3.86/0.82 % (246478)------------------------------
% 3.86/0.82 % (246478)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.86/0.82 % (246478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.86/0.82 % (246478)CaDiCaL version: 2.1.3
% 3.86/0.82 % (246478)Termination reason: Instruction limit
% 3.86/0.82 % (246478)Termination phase: Saturation
% 3.86/0.82 % (246478)Time elapsed: 0.065 s
% 3.86/0.82 % (246478)Peak memory usage: 12 MB
% 3.86/0.82 % (246478)Instructions burned: 104 (million)
% 3.86/0.82 % (246480)Instruction limit reached!
% 3.86/0.82 % (246480)------------------------------
% 3.86/0.82 % (246480)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.86/0.82 % (246480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.86/0.82 % (246480)CaDiCaL version: 2.1.3
% 3.86/0.82 % (246480)Termination reason: Instruction limit
% 3.86/0.82 % (246480)Termination phase: Saturation
% 3.86/0.82 % (246480)Time elapsed: 0.075 s
% 3.86/0.82 % (246480)Peak memory usage: 15 MB
% 3.86/0.82 % (246480)Instructions burned: 133 (million)
% 3.86/0.82 % (246489)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1777260129:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 3.86/0.82 % (246490)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3290458557:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 3.86/0.82 % TRYING [1]
% 3.86/0.82 % TRYING [2]
% 3.86/0.82 % TRYING [3]
% 3.86/0.82 % (246491)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=649830347:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 3.86/0.82 % TRYING [4]
% 3.86/0.82 % (246481)Instruction limit reached!
% 3.86/0.82 % (246481)------------------------------
% 3.86/0.82 % (246481)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.86/0.82 % (246481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.86/0.82 % (246481)CaDiCaL version: 2.1.3
% 3.86/0.82 % (246481)Termination reason: Instruction limit
% 3.86/0.82 % (246481)Termination phase: Saturation
% 3.86/0.82 % (246481)Time elapsed: 0.113 s
% 3.86/0.82 % (246481)Peak memory usage: 14 MB
% 3.86/0.82 % (246481)Instructions burned: 159 (million)
% 3.86/0.82 % (246495)ott-21_1_sil=16000:fs=off:random_seed=1222169014:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 3.86/0.82 % (246490)Instruction limit reached!
% 3.86/0.82 % (246490)------------------------------
% 3.86/0.82 % (246490)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.86/0.82 % (246490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.86/0.82 % (246490)CaDiCaL version: 2.1.3
% 3.86/0.82 % (246490)Termination reason: Instruction limit
% 3.86/0.82 % (246490)Termination phase: Saturation
% 3.86/0.82 % (246490)Time elapsed: 0.072 s
% 3.86/0.82 % (246490)Peak memory usage: 16 MB
% 3.86/0.82 % (246490)Instructions burned: 133 (million)
% 3.86/0.82 % TRYING [5]
% 3.86/0.82 % (246497)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3062309411:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 3.86/0.82 % (246495)Instruction limit reached!
% 3.86/0.82 % (246495)------------------------------
% 3.86/0.82 % (246495)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.86/0.82 % (246495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.86/0.82 % (246495)CaDiCaL version: 2.1.3
% 3.86/0.82 % (246495)Termination reason: Instruction limit
% 3.86/0.82 % (246495)Termination phase: Saturation
% 3.86/0.82 % (246495)Time elapsed: 0.091 s
% 3.86/0.82 % (246495)Peak memory usage: 11 MB
% 3.86/0.82 % (246495)Instructions burned: 181 (million)
% 3.86/0.82 % (246499)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1346406950:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 3.86/0.82 % TRYING [1]
% 3.86/0.82 % TRYING [2]
% 3.86/0.82 % TRYING [3]
% 3.86/0.82 % TRYING [6]
% 3.86/0.82 % TRYING [4]
% 3.86/0.82 % TRYING [5]
% 3.86/0.82 % TRYING [6]
% 3.86/0.82 % (246497)Instruction limit reached!
% 3.86/0.82 % (246497)------------------------------
% 3.86/0.82 % (246497)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.86/0.82 % (246497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.86/0.82 % (246497)CaDiCaL version: 2.1.3
% 3.86/0.82 % (246497)Termination reason: Instruction limit
% 3.86/0.82 % (246497)Termination phase: Saturation
% 3.86/0.82 % (246497)Time elapsed: 0.289 s
% 3.86/0.82 % (246497)Peak memory usage: 14 MB
% 3.86/0.82 % (246497)Instructions burned: 478 (million)
% 3.86/0.82 % (246501)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2746589894:i=1179_2994 on theBenchmark for (2994ds/1179Mi)
% 3.86/0.82 % (246491)Instruction limit reached!
% 3.86/0.82 % (246491)------------------------------
% 3.86/0.82 % (246491)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.86/0.82 % (246491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.86/0.82 % (246491)CaDiCaL version: 2.1.3
% 3.86/0.82 % (246491)Termination reason: Instruction limit
% 3.86/0.82 % (246491)Termination phase: Saturation
% 3.86/0.82 % (246491)Time elapsed: 0.402 s
% 3.86/0.82 % (246491)Peak memory usage: 20 MB
% 3.86/0.82 % (246491)Instructions burned: 685 (million)
% 3.86/0.82 % (246489)Instruction limit reached!
% 3.86/0.82 % (246489)------------------------------
% 3.86/0.82 % (246489)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.86/0.82 % (246489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.86/0.82 % (246489)CaDiCaL version: 2.1.3
% 3.86/0.82 % (246489)Termination reason: Instruction limit
% 3.86/0.82 % (246489)Termination phase: Finite model building SAT solving
% 3.86/0.82 % (246489)Time elapsed: 0.411 s
% 3.86/0.82 % (246489)Peak memory usage: 22 MB
% 3.86/0.82 % (246489)Instructions burned: 715 (million)
% 3.86/0.82 % (246503)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2166520816:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 3.86/0.82 % (246504)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=625932984: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)
% 3.86/0.82 % (246501) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-246470-246501"...
% 3.86/0.82 % (246501)...printing done.
% 3.86/0.82 % (246501)Refutation found. Thanks to Tanya!
% 3.86/0.82 % SZS status Unsatisfiable for theBenchmark
% 3.86/0.82 % SZS output start Proof for theBenchmark
% See solution above
% 3.86/0.83 % (246501)------------------------------
% 3.86/0.83 % (246501)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.86/0.83 % (246501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.86/0.83 % (246501)CaDiCaL version: 2.1.3
% 3.86/0.83 % (246501)Termination reason: Refutation
% 3.86/0.83 % (246501)Time elapsed: 0.045 s
% 3.86/0.83 % (246501)Peak memory usage: 12 MB
% 3.86/0.83 % (246501)Instructions burned: 69 (million)
% 3.86/0.83 % (246470)Success in time 0.582 s
% 3.86/0.83 % Vampire exiting
%------------------------------------------------------------------------------