%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : FLD030-3 : 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 : n009.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 09:49:37 AM UTC 2026
% Result : Unsatisfiable 1.09s 0.44s
% Output : Refutation 1.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 20 ( 9 unt; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 38 ( 14 ~; 24 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X3,X5,X2)
| ~ product(X3,X4,X0)
| ~ product(X4,X1,X5)
| product(X0,X1,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(f30,negated_conjecture,
product(multiplicative_identity,a,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_4) ).
fof(f31,negated_conjecture,
~ product(d,b,multiply(a,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_product_5) ).
fof(f34,plain,
! [X0] :
( product(multiplicative_identity,X0,X0)
| defined(X0) ),
inference(consistent_polarity_flipping,[],[f8]) ).
fof(f43,plain,
! [X0,X1] :
( product(X0,X1,multiply(X0,X1))
| defined(X0)
| defined(X1) ),
inference(consistent_polarity_flipping,[],[f20]) ).
fof(f49,plain,
~ defined(a),
inference(consistent_polarity_flipping,[],[f27]) ).
fof(f50,plain,
~ defined(b),
inference(consistent_polarity_flipping,[],[f28]) ).
fof(f54,plain,
product(a,multiplicative_identity,d),
inference(resolution,[],[f10,f30]) ).
fof(f150,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X1,X3,X4)
| ~ product(X0,X1,X2)
| product(X2,X3,multiply(X0,X4))
| defined(X0)
| defined(X4) ),
inference(resolution,[],[f7,f43]) ).
fof(f428,plain,
! [X2,X0,X1] :
( ~ product(X0,multiplicative_identity,X1)
| product(X1,X2,multiply(X0,X2))
| defined(X0)
| defined(X2)
| defined(X2) ),
inference(resolution,[],[f150,f34]) ).
fof(f436,plain,
! [X2,X0,X1] :
( ~ product(X0,multiplicative_identity,X1)
| product(X1,X2,multiply(X0,X2))
| defined(X0)
| defined(X2) ),
inference(duplicate_literal_removal,[],[f428]) ).
fof(f1746,plain,
! [X0] :
( product(d,X0,multiply(a,X0))
| defined(a)
| defined(X0) ),
inference(resolution,[],[f436,f54]) ).
fof(f1756,plain,
! [X0] :
( product(d,X0,multiply(a,X0))
| defined(X0) ),
inference(forward_subsumption_resolution,[],[f1746,f49]) ).
fof(f9988,plain,
defined(b),
inference(resolution,[],[f1756,f31]) ).
fof(f10047,plain,
$false,
inference(forward_subsumption_resolution,[],[f9988,f50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD030-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.05/0.17 % Computer : n009.cluster.edu
% 0.05/0.17 % Model : x86_64 x86_64
% 0.05/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.17 % Memory : 8046.5625MB
% 0.05/0.17 % OS : Linux 6.8.0-71-generic
% 0.05/0.17 % CPULimit : 300
% 0.05/0.17 % WCLimit : 300
% 0.05/0.17 % DateTime : Tue Sep 29 00:30:15 UTC 2026
% 0.05/0.17 % CPUTime :
% 0.05/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.05/0.20 Running first-order model finding
% 0.05/0.20 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
% 1.09/0.44 % (3654554)Will run a generic schedule for satisfiability detection.
% 1.09/0.44 % (3654564)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3516499883:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.09/0.44 % (3654560)% WARNING: option uhcvi not known.
% 1.09/0.44 % (3654559)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3179203567_2999 on theBenchmark for (2999ds/0Mi)
% 1.09/0.44 % (3654563)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3666906713:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.09/0.44 % (3654560)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2898957051:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.09/0.44 % (3654562)dis+10_1_sil=32000:sp=arity:random_seed=1472543286:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.09/0.44 % (3654565)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1996938529:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.09/0.44 % (3654561)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1353598416:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.09/0.44 % TRYING [1]
% 1.09/0.44 % TRYING [2]
% 1.09/0.44 % TRYING [3]
% 1.09/0.44 % TRYING [4]
% 1.09/0.44 % (3654564)Instruction limit reached!
% 1.09/0.44 % (3654564)------------------------------
% 1.09/0.44 % (3654564)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.44 % (3654564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.44 % (3654564)CaDiCaL version: 2.1.3
% 1.09/0.44 % (3654564)Termination reason: Instruction limit
% 1.09/0.44 % (3654564)Termination phase: Saturation
% 1.09/0.44 % (3654564)Time elapsed: 0.044 s
% 1.09/0.44 % (3654564)Peak memory usage: 15 MB
% 1.09/0.44 % (3654564)Instructions burned: 132 (million)
% 1.09/0.44 % (3654573)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3094123336:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.09/0.44 % TRYING [1]
% 1.09/0.44 % TRYING [2]
% 1.09/0.44 % TRYING [3]
% 1.09/0.44 % TRYING [4]
% 1.09/0.44 % TRYING [5]
% 1.09/0.44 % (3654563)Instruction limit reached!
% 1.09/0.44 % (3654563)------------------------------
% 1.09/0.44 % (3654563)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.44 % (3654563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.44 % (3654563)CaDiCaL version: 2.1.3
% 1.09/0.44 % (3654563)Termination reason: Instruction limit
% 1.09/0.44 % (3654563)Termination phase: Saturation
% 1.09/0.44 % (3654563)Time elapsed: 0.065 s
% 1.09/0.44 % (3654563)Peak memory usage: 12 MB
% 1.09/0.44 % (3654563)Instructions burned: 118 (million)
% 1.09/0.44 % (3654562)Instruction limit reached!
% 1.09/0.44 % (3654562)------------------------------
% 1.09/0.44 % (3654562)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.44 % (3654562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.44 % (3654562)CaDiCaL version: 2.1.3
% 1.09/0.44 % (3654562)Termination reason: Instruction limit
% 1.09/0.44 % (3654562)Termination phase: Saturation
% 1.09/0.44 % (3654562)Time elapsed: 0.067 s
% 1.09/0.44 % (3654562)Peak memory usage: 12 MB
% 1.09/0.44 % (3654562)Instructions burned: 104 (million)
% 1.09/0.44 % TRYING [5]
% 1.09/0.44 % (3654575)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3497681653:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.09/0.44 % (3654576)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=3739508363:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 1.09/0.44 % (3654565)Instruction limit reached!
% 1.09/0.44 % (3654565)------------------------------
% 1.09/0.44 % (3654565)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.44 % (3654565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.44 % (3654565)CaDiCaL version: 2.1.3
% 1.09/0.44 % (3654565)Termination reason: Instruction limit
% 1.09/0.44 % (3654565)Termination phase: Saturation
% 1.09/0.44 % (3654565)Time elapsed: 0.094 s
% 1.09/0.44 % (3654565)Peak memory usage: 13 MB
% 1.09/0.44 % (3654565)Instructions burned: 160 (million)
% 1.09/0.44 % (3654579)ott-21_1_sil=16000:fs=off:random_seed=707360775:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.09/0.44 % (3654575)Instruction limit reached!
% 1.09/0.44 % (3654575)------------------------------
% 1.09/0.44 % (3654575)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.44 % (3654575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.44 % (3654575)CaDiCaL version: 2.1.3
% 1.09/0.44 % (3654575)Termination reason: Instruction limit
% 1.09/0.44 % (3654575)Termination phase: Saturation
% 1.09/0.44 % (3654575)Time elapsed: 0.075 s
% 1.09/0.44 % (3654575)Peak memory usage: 15 MB
% 1.09/0.44 % (3654575)Instructions burned: 132 (million)
% 1.09/0.44 % TRYING [6]
% 1.09/0.44 % (3654581)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2242539091:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.09/0.44 % (3654560) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3654554-3654560"...
% 1.09/0.44 % (3654560)...printing done.
% 1.09/0.44 % (3654560)Refutation found. Thanks to Tanya!
% 1.09/0.44 % SZS status Unsatisfiable for theBenchmark
% 1.09/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 1.09/0.44 % (3654560)------------------------------
% 1.09/0.44 % (3654560)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.44 % (3654560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.44 % (3654560)CaDiCaL version: 2.1.3
% 1.09/0.44 % (3654560)Termination reason: Refutation
% 1.09/0.44 % (3654560)Time elapsed: 0.189 s
% 1.09/0.44 % (3654560)Peak memory usage: 14 MB
% 1.09/0.44 % (3654560)Instructions burned: 306 (million)
% 1.09/0.44 % (3654554)Success in time 0.225 s
% 1.09/0.44 % Vampire exiting
%------------------------------------------------------------------------------