%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : FLD019-1 : 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 : n020.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 09:49:34 AM UTC 2026
% Result : Unsatisfiable 3.89s 0.83s
% Output : Refutation 3.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 10
% Syntax : Number of formulae : 32 ( 10 unt; 0 def)
% Number of atoms : 62 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 60 ( 30 ~; 30 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 31 ( 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] :
( equalish(add(additive_identity,X0),X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',existence_of_identity_addition) ).
fof(f3,axiom,
! [X0] :
( equalish(add(X0,additive_inverse(X0)),additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',existence_of_inverse_addition) ).
fof(f4,axiom,
! [X0,X1] :
( equalish(add(X0,X1),add(X1,X0))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',commutativity_addition) ).
fof(f12,axiom,
! [X0] :
( ~ defined(X0)
| defined(additive_inverse(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',well_definedness_of_additive_inverse) ).
fof(f22,axiom,
! [X0,X1] :
( equalish(X0,X1)
| ~ equalish(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',symmetry_of_equality) ).
fof(f23,axiom,
! [X2,X0,X1] :
( equalish(X0,X1)
| ~ equalish(X0,X2)
| ~ equalish(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',transitivity_of_equality) ).
fof(f24,axiom,
! [X2,X0,X1] :
( equalish(add(X0,X1),add(X2,X1))
| ~ defined(X1)
| ~ equalish(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',compatibility_of_equality_and_addition) ).
fof(f28,axiom,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
fof(f29,negated_conjecture,
equalish(additive_inverse(a),additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_inverse_equals_additive_identity_2) ).
fof(f30,negated_conjecture,
~ equalish(a,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_equal_to_additive_identity_3) ).
fof(f32,plain,
! [X0] :
( ~ equalish(add(additive_identity,X0),X0)
| ~ defined(X0) ),
inference(consistent_polarity_flipping,[],[f2]) ).
fof(f33,plain,
! [X0] :
( ~ equalish(add(X0,additive_inverse(X0)),additive_identity)
| ~ defined(X0) ),
inference(consistent_polarity_flipping,[],[f3]) ).
fof(f34,plain,
! [X0,X1] :
( ~ equalish(add(X0,X1),add(X1,X0))
| ~ defined(X0)
| ~ defined(X1) ),
inference(consistent_polarity_flipping,[],[f4]) ).
fof(f43,plain,
! [X0,X1] :
( ~ equalish(X0,X1)
| equalish(X1,X0) ),
inference(consistent_polarity_flipping,[],[f22]) ).
fof(f44,plain,
! [X2,X0,X1] :
( ~ equalish(X0,X1)
| equalish(X0,X2)
| equalish(X2,X1) ),
inference(consistent_polarity_flipping,[],[f23]) ).
fof(f45,plain,
! [X2,X0,X1] :
( ~ equalish(add(X0,X1),add(X2,X1))
| ~ defined(X1)
| equalish(X0,X2) ),
inference(consistent_polarity_flipping,[],[f24]) ).
fof(f49,plain,
~ equalish(additive_inverse(a),additive_identity),
inference(consistent_polarity_flipping,[],[f29]) ).
fof(f50,plain,
equalish(a,additive_identity),
inference(consistent_polarity_flipping,[],[f30]) ).
fof(f171,plain,
! [X0] :
( equalish(a,X0)
| equalish(X0,additive_identity) ),
inference(resolution,[],[f44,f50]) ).
fof(f180,plain,
! [X0] :
( ~ defined(X0)
| equalish(a,add(X0,additive_inverse(X0))) ),
inference(resolution,[],[f171,f33]) ).
fof(f281,plain,
equalish(a,add(a,additive_inverse(a))),
inference(resolution,[],[f180,f28]) ).
fof(f284,plain,
! [X0] :
( equalish(X0,add(a,additive_inverse(a)))
| equalish(a,X0) ),
inference(resolution,[],[f281,f44]) ).
fof(f816,plain,
( equalish(a,add(additive_inverse(a),a))
| ~ defined(additive_inverse(a))
| ~ defined(a) ),
inference(resolution,[],[f284,f34]) ).
fof(f823,plain,
( equalish(a,add(additive_inverse(a),a))
| ~ defined(a) ),
inference(forward_subsumption_resolution,[],[f816,f12]) ).
fof(f824,plain,
equalish(a,add(additive_inverse(a),a)),
inference(forward_subsumption_resolution,[],[f823,f28]) ).
fof(f826,plain,
equalish(add(additive_inverse(a),a),a),
inference(resolution,[],[f824,f43]) ).
fof(f827,plain,
! [X0] :
( equalish(add(additive_inverse(a),a),X0)
| equalish(X0,a) ),
inference(resolution,[],[f826,f44]) ).
fof(f1365,plain,
! [X0] :
( equalish(add(X0,a),a)
| ~ defined(a)
| equalish(additive_inverse(a),X0) ),
inference(resolution,[],[f827,f45]) ).
fof(f1369,plain,
! [X0] :
( equalish(add(X0,a),a)
| equalish(additive_inverse(a),X0) ),
inference(forward_subsumption_resolution,[],[f1365,f28]) ).
fof(f1502,plain,
( equalish(additive_inverse(a),additive_identity)
| ~ defined(a) ),
inference(resolution,[],[f1369,f32]) ).
fof(f1505,plain,
~ defined(a),
inference(forward_subsumption_resolution,[],[f1502,f49]) ).
fof(f1506,plain,
$false,
inference(forward_subsumption_resolution,[],[f1505,f28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD019-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18 % Computer : n020.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Sep 29 00:28:50 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21 Running first-order model finding
% 0.07/0.21 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
% 3.89/0.82 % (731262)Will run a generic schedule for satisfiability detection.
% 3.89/0.82 % (731267)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1664469823_2999 on theBenchmark for (2999ds/0Mi)
% 3.89/0.82 % TRYING [1]
% 3.89/0.82 % TRYING [2]
% 3.89/0.82 % TRYING [3]
% 3.89/0.82 % TRYING [4]
% 3.89/0.82 % (731268)% WARNING: option uhcvi not known.
% 3.89/0.82 % (731268)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2932253479:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 3.89/0.82 % (731269)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3364303227:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 3.89/0.82 % (731270)dis+10_1_sil=32000:sp=arity:random_seed=99314118:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 3.89/0.82 % (731271)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=452861157:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 3.89/0.82 % (731272)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4105044648:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 3.89/0.82 % (731273)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2364439780:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 3.89/0.82 % TRYING [5]
% 3.89/0.82 % TRYING [6]
% 3.89/0.82 % (731271)Instruction limit reached!
% 3.89/0.82 % (731271)------------------------------
% 3.89/0.82 % (731271)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.89/0.82 % (731271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.89/0.82 % (731271)CaDiCaL version: 2.1.3
% 3.89/0.82 % (731271)Termination reason: Instruction limit
% 3.89/0.82 % (731271)Termination phase: Saturation
% 3.89/0.82 % (731271)Time elapsed: 0.065 s
% 3.89/0.82 % (731271)Peak memory usage: 11 MB
% 3.89/0.82 % (731271)Instructions burned: 117 (million)
% 3.89/0.82 % (731270)Instruction limit reached!
% 3.89/0.82 % (731270)------------------------------
% 3.89/0.82 % (731270)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.89/0.82 % (731270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.89/0.82 % (731270)CaDiCaL version: 2.1.3
% 3.89/0.82 % (731270)Termination reason: Instruction limit
% 3.89/0.82 % (731270)Termination phase: Saturation
% 3.89/0.82 % (731270)Time elapsed: 0.065 s
% 3.89/0.82 % (731270)Peak memory usage: 12 MB
% 3.89/0.82 % (731270)Instructions burned: 103 (million)
% 3.89/0.82 % (731272)Instruction limit reached!
% 3.89/0.82 % (731272)------------------------------
% 3.89/0.82 % (731272)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.89/0.82 % (731272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.89/0.82 % (731272)CaDiCaL version: 2.1.3
% 3.89/0.82 % (731272)Termination reason: Instruction limit
% 3.89/0.82 % (731272)Termination phase: Saturation
% 3.89/0.82 % (731272)Time elapsed: 0.079 s
% 3.89/0.82 % (731272)Peak memory usage: 15 MB
% 3.89/0.82 % (731272)Instructions burned: 136 (million)
% 3.89/0.82 % (731282)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=583779:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 3.89/0.82 % (731281)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=82562145:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 3.89/0.82 % TRYING [1]
% 3.89/0.82 % TRYING [2]
% 3.89/0.82 % TRYING [3]
% 3.89/0.82 % TRYING [4]
% 3.89/0.82 % TRYING [7]
% 3.89/0.82 % (731283)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=3938195992:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 3.89/0.83 % (731273)Instruction limit reached!
% 3.89/0.83 % (731273)------------------------------
% 3.89/0.83 % (731273)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.89/0.83 % (731273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.89/0.83 % (731273)CaDiCaL version: 2.1.3
% 3.89/0.83 % (731273)Termination reason: Instruction limit
% 3.89/0.83 % (731273)Termination phase: Saturation
% 3.89/0.83 % (731273)Time elapsed: 0.102 s
% 3.89/0.83 % (731273)Peak memory usage: 15 MB
% 3.89/0.83 % (731273)Instructions burned: 159 (million)
% 3.89/0.83 % TRYING [5]
% 3.89/0.83 % (731287)ott-21_1_sil=16000:fs=off:random_seed=3149817774:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 3.89/0.83 % (731282)Instruction limit reached!
% 3.89/0.83 % (731282)------------------------------
% 3.89/0.83 % (731282)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.89/0.83 % (731282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.89/0.83 % (731282)CaDiCaL version: 2.1.3
% 3.89/0.83 % (731282)Termination reason: Instruction limit
% 3.89/0.83 % (731282)Termination phase: Saturation
% 3.89/0.83 % (731282)Time elapsed: 0.076 s
% 3.89/0.83 % (731282)Peak memory usage: 15 MB
% 3.89/0.83 % (731282)Instructions burned: 132 (million)
% 3.89/0.83 % TRYING [6]
% 3.89/0.83 % (731289)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3258487775:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 3.89/0.83 % (731287)Instruction limit reached!
% 3.89/0.83 % (731287)------------------------------
% 3.89/0.83 % (731287)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.89/0.83 % (731287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.89/0.83 % (731287)CaDiCaL version: 2.1.3
% 3.89/0.83 % (731287)Termination reason: Instruction limit
% 3.89/0.83 % (731287)Termination phase: Saturation
% 3.89/0.83 % (731287)Time elapsed: 0.100 s
% 3.89/0.83 % (731287)Peak memory usage: 12 MB
% 3.89/0.83 % (731287)Instructions burned: 180 (million)
% 3.89/0.83 % (731291)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2797065178:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 3.89/0.83 % TRYING [1]
% 3.89/0.83 % TRYING [2]
% 3.89/0.83 % TRYING [3]
% 3.89/0.83 % TRYING [8]
% 3.89/0.83 % TRYING [4]
% 3.89/0.83 % TRYING [5]
% 3.89/0.83 % TRYING [7]
% 3.89/0.83 % (731281)Instruction limit reached!
% 3.89/0.83 % (731281)------------------------------
% 3.89/0.83 % (731281)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.89/0.83 % (731281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.89/0.83 % (731281)CaDiCaL version: 2.1.3
% 3.89/0.83 % (731281)Termination reason: Instruction limit
% 3.89/0.83 % (731281)Termination phase: Finite model building constraint generation
% 3.89/0.83 % (731281)Time elapsed: 0.300 s
% 3.89/0.83 % (731281)Peak memory usage: 28 MB
% 3.89/0.83 % (731281)Instructions burned: 715 (million)
% 3.89/0.83 % TRYING [6]
% 3.89/0.83 % (731293)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=97610592:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 3.89/0.83 % (731289)Instruction limit reached!
% 3.89/0.83 % (731289)------------------------------
% 3.89/0.83 % (731289)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.89/0.83 % (731289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.89/0.83 % (731289)CaDiCaL version: 2.1.3
% 3.89/0.83 % (731289)Termination reason: Instruction limit
% 3.89/0.83 % (731289)Termination phase: Saturation
% 3.89/0.83 % (731289)Time elapsed: 0.321 s
% 3.89/0.83 % (731289)Peak memory usage: 15 MB
% 3.89/0.83 % (731289)Instructions burned: 478 (million)
% 3.89/0.83 % (731283)Instruction limit reached!
% 3.89/0.83 % (731283)------------------------------
% 3.89/0.83 % (731283)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.89/0.83 % (731283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.89/0.83 % (731283)CaDiCaL version: 2.1.3
% 3.89/0.83 % (731283)Termination reason: Instruction limit
% 3.89/0.83 % (731283)Termination phase: Saturation
% 3.89/0.83 % (731283)Time elapsed: 0.411 s
% 3.89/0.83 % (731283)Peak memory usage: 18 MB
% 3.89/0.83 % (731283)Instructions burned: 685 (million)
% 3.89/0.83 % (731295)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=796479219:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 3.89/0.83 % (731296)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=524806508: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)
% 3.89/0.83 % (731291)Instruction limit reached!
% 3.89/0.83 % (731291)------------------------------
% 3.89/0.83 % (731291)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.89/0.83 % (731291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.89/0.83 % (731291)CaDiCaL version: 2.1.3
% 3.89/0.83 % (731291)Termination reason: Instruction limit
% 3.89/0.83 % (731291)Termination phase: Finite model building SAT solving
% 3.89/0.83 % (731291)Time elapsed: 0.313 s
% 3.89/0.83 % (731291)Peak memory usage: 21 MB
% 3.89/0.83 % (731291)Instructions burned: 867 (million)
% 3.89/0.83 % (731296) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-731262-731296"...
% 3.89/0.83 % (731296)...printing done.
% 3.89/0.83 % (731296)Refutation found. Thanks to Tanya!
% 3.89/0.83 % SZS status Unsatisfiable for theBenchmark
% 3.89/0.83 % SZS output start Proof for theBenchmark
% See solution above
% 3.89/0.83 % (731296)------------------------------
% 3.89/0.83 % (731296)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.89/0.83 % (731296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.89/0.83 % (731296)CaDiCaL version: 2.1.3
% 3.89/0.83 % (731296)Termination reason: Refutation
% 3.89/0.83 % (731296)Time elapsed: 0.030 s
% 3.89/0.83 % (731296)Peak memory usage: 13 MB
% 3.89/0.83 % (731296)Instructions burned: 44 (million)
% 3.89/0.83 % (731262)Success in time 0.607 s
% 3.89/0.83 % Vampire exiting
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