%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD038-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 09:49:08 AM UTC 2026
% Result : Unsatisfiable 6.13s 1.82s
% Output : Refutation 8.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 53
% Number of leaves : 18
% Syntax : Number of formulae : 102 ( 22 unt; 4 def)
% Number of atoms : 292 ( 4 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 366 ( 176 ~; 188 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 83 ( 0 sgn 83 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X2,X0,X1] :
( equalish(multiply(X0,multiply(X1,X2)),multiply(multiply(X0,X1),X2))
| ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_multiplication) ).
fof(f6,axiom,
! [X0] :
( equalish(multiply(multiplicative_identity,X0),X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_identity_multiplication) ).
fof(f7,axiom,
! [X0] :
( equalish(multiply(X0,multiplicative_inverse(X0)),multiplicative_identity)
| ~ defined(X0)
| equalish(X0,additive_identity) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_inverse_multiplication) ).
fof(f8,axiom,
! [X0,X1] :
( equalish(multiply(X0,X1),multiply(X1,X0))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_multiplication) ).
fof(f13,axiom,
! [X0,X1] :
( defined(multiply(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_multiplication) ).
fof(f15,axiom,
! [X0] :
( equalish(X0,additive_identity)
| ~ defined(X0)
| defined(multiplicative_inverse(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_multiplicative_inverse) ).
fof(f22,axiom,
! [X0,X1] :
( ~ equalish(X1,X0)
| equalish(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_equality) ).
fof(f23,axiom,
! [X2,X0,X1] :
( ~ equalish(X2,X1)
| ~ equalish(X0,X2)
| equalish(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_equality) ).
fof(f25,axiom,
! [X2,X0,X1] :
( equalish(multiply(X0,X1),multiply(X2,X1))
| ~ defined(X1)
| ~ equalish(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatibility_of_equality_and_multiplication) ).
fof(f28,axiom,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
fof(f29,axiom,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).
fof(f30,negated_conjecture,
~ equalish(a,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_equal_to_additive_identity_3) ).
fof(f31,negated_conjecture,
equalish(multiplicative_identity,multiply(b,multiplicative_inverse(a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_identity_equals_multiply_4) ).
fof(f32,negated_conjecture,
~ equalish(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_equal_to_b_5) ).
fof(f33,definition,
sF0 = multiplicative_inverse(a),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f34,plain,
multiplicative_inverse(a) = sF0,
inference(reorient_equations,[],[f33]) ).
fof(f35,definition,
sF1 = multiply(b,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f36,plain,
multiply(b,sF0) = sF1,
inference(reorient_equations,[],[f35]) ).
fof(f37,plain,
equalish(multiplicative_identity,sF1),
inference(definition_folding,[],[f31,f36,f34]) ).
fof(f38,plain,
equalish(sF1,multiplicative_identity),
inference(resolution,[],[f22,f37]) ).
fof(f48,definition,
( spl2_1
<=> defined(sF0) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
fof(f49,plain,
( defined(sF0)
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f50,plain,
( ~ defined(sF0)
| spl2_1 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f60,plain,
! [X0,X1] :
( ~ equalish(X0,multiply(multiplicative_identity,X1))
| equalish(X0,X1)
| ~ defined(X1) ),
inference(resolution,[],[f23,f6]) ).
fof(f61,plain,
! [X0,X1] :
( ~ equalish(X0,multiply(X1,multiplicative_inverse(X1)))
| equalish(X0,multiplicative_identity)
| ~ defined(X1)
| equalish(X1,additive_identity) ),
inference(resolution,[],[f23,f7]) ).
fof(f63,plain,
! [X0,X1] :
( equalish(multiply(X0,X1),X1)
| ~ defined(X1)
| ~ defined(X1)
| ~ equalish(X0,multiplicative_identity) ),
inference(resolution,[],[f60,f25]) ).
fof(f65,plain,
! [X0,X1] :
( equalish(multiply(X0,X1),X1)
| ~ defined(X1)
| ~ equalish(X0,multiplicative_identity) ),
inference(duplicate_literal_removal,[],[f63]) ).
fof(f66,plain,
( ~ defined(a)
| defined(multiplicative_inverse(a)) ),
inference(resolution,[],[f15,f30]) ).
fof(f69,plain,
defined(multiplicative_inverse(a)),
inference(forward_subsumption_resolution,[],[f66,f28]) ).
fof(f70,plain,
defined(sF0),
inference(forward_demodulation,[],[f69,f34]) ).
fof(f71,plain,
( $false
| spl2_1 ),
inference(forward_subsumption_resolution,[],[f70,f50]) ).
fof(f72,plain,
spl2_1,
inference(avatar_contradiction_clause,[],[f71]) ).
fof(f73,plain,
! [X2,X0,X1] :
( ~ equalish(X2,multiply(X1,X0))
| ~ equalish(X1,multiplicative_identity)
| ~ defined(X0)
| equalish(X2,X0) ),
inference(resolution,[],[f65,f23]) ).
fof(f74,plain,
! [X0,X1] :
( equalish(X0,multiply(X1,X0))
| ~ equalish(X1,multiplicative_identity)
| ~ defined(X0) ),
inference(resolution,[],[f65,f22]) ).
fof(f182,plain,
! [X0] :
( equalish(multiply(multiplicative_inverse(X0),X0),multiplicative_identity)
| ~ defined(X0)
| equalish(X0,additive_identity)
| ~ defined(multiplicative_inverse(X0))
| ~ defined(X0) ),
inference(resolution,[],[f61,f8]) ).
fof(f188,plain,
! [X0] :
( equalish(multiply(multiplicative_inverse(X0),X0),multiplicative_identity)
| ~ defined(X0)
| equalish(X0,additive_identity)
| ~ defined(multiplicative_inverse(X0)) ),
inference(duplicate_literal_removal,[],[f182]) ).
fof(f189,plain,
! [X0] :
( equalish(multiply(multiplicative_inverse(X0),X0),multiplicative_identity)
| ~ defined(X0)
| equalish(X0,additive_identity) ),
inference(forward_subsumption_resolution,[],[f188,f15]) ).
fof(f210,plain,
( equalish(multiply(sF0,a),multiplicative_identity)
| ~ defined(a)
| equalish(a,additive_identity) ),
inference(superposition,[],[f189,f34]) ).
fof(f211,plain,
( equalish(multiply(sF0,a),multiplicative_identity)
| equalish(a,additive_identity) ),
inference(forward_subsumption_resolution,[],[f210,f28]) ).
fof(f212,plain,
equalish(multiply(sF0,a),multiplicative_identity),
inference(forward_subsumption_resolution,[],[f211,f30]) ).
fof(f215,plain,
equalish(multiplicative_identity,multiply(sF0,a)),
inference(resolution,[],[f212,f22]) ).
fof(f239,plain,
! [X2,X3,X0,X1] :
( ~ equalish(X3,multiply(X0,multiply(X1,X2)))
| ~ defined(X1)
| ~ defined(X2)
| ~ defined(X0)
| equalish(X3,multiply(multiply(X0,X1),X2)) ),
inference(resolution,[],[f5,f23]) ).
fof(f255,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2)
| equalish(multiply(multiply(X0,X1),X2),multiply(multiply(X2,X0),X1))
| ~ defined(multiply(X0,X1))
| ~ defined(X2) ),
inference(resolution,[],[f239,f8]) ).
fof(f262,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2)
| equalish(multiply(multiply(X0,X1),X2),multiply(multiply(X2,X0),X1))
| ~ defined(multiply(X0,X1)) ),
inference(duplicate_literal_removal,[],[f255]) ).
fof(f265,plain,
! [X2,X0,X1] :
( equalish(multiply(multiply(X0,X1),X2),multiply(multiply(X2,X0),X1))
| ~ defined(X1)
| ~ defined(X2)
| ~ defined(X0) ),
inference(forward_subsumption_resolution,[],[f262,f13]) ).
fof(f279,plain,
! [X0] :
( equalish(multiply(multiply(sF0,X0),b),multiply(sF1,X0))
| ~ defined(X0)
| ~ defined(b)
| ~ defined(sF0) ),
inference(superposition,[],[f265,f36]) ).
fof(f283,plain,
! [X0] :
( equalish(multiply(multiply(sF0,X0),b),multiply(sF1,X0))
| ~ defined(X0)
| ~ defined(sF0) ),
inference(forward_subsumption_resolution,[],[f279,f29]) ).
fof(f288,plain,
( ! [X0] :
( equalish(multiply(multiply(sF0,X0),b),multiply(sF1,X0))
| ~ defined(X0) )
| ~ spl2_1 ),
inference(forward_subsumption_resolution,[],[f283,f49]) ).
fof(f294,plain,
( ! [X0] :
( ~ defined(X0)
| ~ equalish(sF1,multiplicative_identity)
| ~ defined(X0)
| equalish(multiply(multiply(sF0,X0),b),X0) )
| ~ spl2_1 ),
inference(resolution,[],[f288,f73]) ).
fof(f300,plain,
( ! [X0] :
( ~ defined(X0)
| ~ equalish(sF1,multiplicative_identity)
| equalish(multiply(multiply(sF0,X0),b),X0) )
| ~ spl2_1 ),
inference(duplicate_literal_removal,[],[f294]) ).
fof(f305,plain,
( ! [X0] :
( equalish(multiply(multiply(sF0,X0),b),X0)
| ~ defined(X0) )
| ~ spl2_1 ),
inference(forward_subsumption_resolution,[],[f300,f38]) ).
fof(f319,plain,
( ! [X0,X1] :
( ~ equalish(X1,multiply(multiply(sF0,X0),b))
| ~ defined(X0)
| equalish(X1,X0) )
| ~ spl2_1 ),
inference(resolution,[],[f305,f23]) ).
fof(f329,plain,
( ! [X0,X1] :
( ~ defined(X0)
| equalish(multiply(X1,b),X0)
| ~ defined(b)
| ~ equalish(X1,multiply(sF0,X0)) )
| ~ spl2_1 ),
inference(resolution,[],[f319,f25]) ).
fof(f343,plain,
( ! [X0,X1] :
( ~ equalish(X1,multiply(sF0,X0))
| equalish(multiply(X1,b),X0)
| ~ defined(X0) )
| ~ spl2_1 ),
inference(forward_subsumption_resolution,[],[f329,f29]) ).
fof(f355,plain,
( equalish(multiply(multiplicative_identity,b),a)
| ~ defined(a)
| ~ spl2_1 ),
inference(resolution,[],[f343,f215]) ).
fof(f359,plain,
( equalish(multiply(multiplicative_identity,b),a)
| ~ spl2_1 ),
inference(forward_subsumption_resolution,[],[f355,f28]) ).
fof(f362,plain,
( ! [X0] :
( ~ equalish(X0,multiply(multiplicative_identity,b))
| equalish(X0,a) )
| ~ spl2_1 ),
inference(resolution,[],[f359,f23]) ).
fof(f365,plain,
( ! [X0] :
( equalish(multiply(X0,b),a)
| ~ defined(b)
| ~ equalish(X0,multiplicative_identity) )
| ~ spl2_1 ),
inference(resolution,[],[f362,f25]) ).
fof(f399,plain,
( ! [X0] :
( equalish(multiply(X0,b),a)
| ~ equalish(X0,multiplicative_identity) )
| ~ spl2_1 ),
inference(forward_subsumption_resolution,[],[f365,f29]) ).
fof(f402,plain,
( ! [X0,X1] :
( ~ equalish(X1,multiply(X0,b))
| ~ equalish(X0,multiplicative_identity)
| equalish(X1,a) )
| ~ spl2_1 ),
inference(resolution,[],[f399,f23]) ).
fof(f409,plain,
( ~ equalish(sF1,multiplicative_identity)
| equalish(multiply(multiply(sF0,b),b),a)
| ~ defined(b)
| ~ spl2_1 ),
inference(resolution,[],[f402,f288]) ).
fof(f416,plain,
( equalish(multiply(multiply(sF0,b),b),a)
| ~ defined(b)
| ~ spl2_1 ),
inference(forward_subsumption_resolution,[],[f409,f38]) ).
fof(f422,plain,
( equalish(multiply(multiply(sF0,b),b),a)
| ~ spl2_1 ),
inference(forward_subsumption_resolution,[],[f416,f29]) ).
fof(f424,definition,
( spl2_22
<=> equalish(b,a) ),
introduced(definition,[new_symbols(definition,[spl2_22])],[avatar_definition]) ).
fof(f425,plain,
( ~ equalish(b,a)
| spl2_22 ),
inference(avatar_component_clause,[],[f424]) ).
fof(f426,plain,
( equalish(b,a)
| ~ spl2_22 ),
inference(avatar_component_clause,[],[f424]) ).
fof(f432,plain,
( ! [X0] :
( ~ equalish(X0,multiply(multiply(sF0,b),b))
| equalish(X0,a) )
| ~ spl2_1 ),
inference(resolution,[],[f422,f23]) ).
fof(f438,plain,
( equalish(multiply(multiply(b,b),sF0),a)
| ~ defined(b)
| ~ defined(sF0)
| ~ defined(b)
| ~ spl2_1 ),
inference(resolution,[],[f432,f265]) ).
fof(f444,plain,
( equalish(multiply(multiply(b,b),sF0),a)
| ~ defined(b)
| ~ defined(sF0)
| ~ spl2_1 ),
inference(duplicate_literal_removal,[],[f438]) ).
fof(f472,plain,
( equalish(multiply(multiply(b,b),sF0),a)
| ~ defined(sF0)
| ~ spl2_1 ),
inference(forward_subsumption_resolution,[],[f444,f29]) ).
fof(f476,plain,
( equalish(multiply(multiply(b,b),sF0),a)
| ~ spl2_1 ),
inference(forward_subsumption_resolution,[],[f472,f49]) ).
fof(f489,plain,
( equalish(a,b)
| ~ spl2_22 ),
inference(resolution,[],[f426,f22]) ).
fof(f490,plain,
( $false
| ~ spl2_22 ),
inference(forward_subsumption_resolution,[],[f489,f32]) ).
fof(f491,plain,
~ spl2_22,
inference(avatar_contradiction_clause,[],[f490]) ).
fof(f493,plain,
( ! [X0] :
( ~ equalish(X0,multiply(multiply(b,b),sF0))
| equalish(X0,a) )
| ~ spl2_1 ),
inference(resolution,[],[f476,f23]) ).
fof(f499,plain,
( equalish(multiply(multiply(b,sF0),b),a)
| ~ defined(sF0)
| ~ defined(b)
| ~ defined(b)
| ~ spl2_1 ),
inference(resolution,[],[f493,f265]) ).
fof(f505,plain,
( equalish(multiply(multiply(b,sF0),b),a)
| ~ defined(sF0)
| ~ defined(b)
| ~ spl2_1 ),
inference(duplicate_literal_removal,[],[f499]) ).
fof(f521,plain,
( equalish(multiply(multiply(b,sF0),b),a)
| ~ defined(b)
| ~ spl2_1 ),
inference(forward_subsumption_resolution,[],[f505,f49]) ).
fof(f524,plain,
( equalish(multiply(multiply(b,sF0),b),a)
| ~ spl2_1 ),
inference(forward_subsumption_resolution,[],[f521,f29]) ).
fof(f526,plain,
( equalish(multiply(sF1,b),a)
| ~ spl2_1 ),
inference(forward_demodulation,[],[f524,f36]) ).
fof(f529,plain,
( ! [X0] :
( ~ equalish(X0,multiply(sF1,b))
| equalish(X0,a) )
| ~ spl2_1 ),
inference(resolution,[],[f526,f23]) ).
fof(f532,plain,
( ! [X0] :
( equalish(multiply(X0,b),a)
| ~ defined(b)
| ~ equalish(X0,sF1) )
| ~ spl2_1 ),
inference(resolution,[],[f529,f25]) ).
fof(f554,plain,
( ! [X0] :
( equalish(multiply(X0,b),a)
| ~ equalish(X0,sF1) )
| ~ spl2_1 ),
inference(forward_subsumption_resolution,[],[f532,f29]) ).
fof(f556,plain,
( ! [X0,X1] :
( ~ equalish(X1,multiply(X0,b))
| ~ equalish(X0,sF1)
| equalish(X1,a) )
| ~ spl2_1 ),
inference(resolution,[],[f554,f23]) ).
fof(f559,plain,
( ! [X0,X1] :
( ~ equalish(X0,sF1)
| equalish(multiply(X1,b),a)
| ~ defined(b)
| ~ equalish(X1,X0) )
| ~ spl2_1 ),
inference(resolution,[],[f556,f25]) ).
fof(f572,plain,
( ! [X0,X1] :
( ~ equalish(X1,X0)
| equalish(multiply(X1,b),a)
| ~ equalish(X0,sF1) )
| ~ spl2_1 ),
inference(forward_subsumption_resolution,[],[f559,f29]) ).
fof(f649,plain,
( ! [X0] :
( equalish(multiply(multiply(X0,multiplicative_inverse(X0)),b),a)
| ~ equalish(multiplicative_identity,sF1)
| ~ defined(X0)
| equalish(X0,additive_identity) )
| ~ spl2_1 ),
inference(resolution,[],[f572,f7]) ).
fof(f704,plain,
( ! [X0] :
( equalish(multiply(multiply(X0,multiplicative_inverse(X0)),b),a)
| ~ defined(X0)
| equalish(X0,additive_identity) )
| ~ spl2_1 ),
inference(forward_subsumption_resolution,[],[f649,f37]) ).
fof(f754,plain,
( ! [X0,X1] :
( ~ equalish(X1,multiply(multiply(X0,multiplicative_inverse(X0)),b))
| equalish(X0,additive_identity)
| ~ defined(X0)
| equalish(X1,a) )
| ~ spl2_1 ),
inference(resolution,[],[f704,f23]) ).
fof(f757,plain,
( ! [X0] :
( equalish(X0,additive_identity)
| ~ defined(X0)
| equalish(b,a)
| ~ equalish(multiply(X0,multiplicative_inverse(X0)),multiplicative_identity)
| ~ defined(b) )
| ~ spl2_1 ),
inference(resolution,[],[f754,f74]) ).
fof(f775,plain,
( ! [X0] :
( equalish(X0,additive_identity)
| ~ defined(X0)
| equalish(b,a)
| ~ defined(b) )
| ~ spl2_1 ),
inference(forward_subsumption_resolution,[],[f757,f7]) ).
fof(f779,plain,
( ! [X0] :
( equalish(X0,additive_identity)
| ~ defined(X0)
| ~ defined(b) )
| ~ spl2_1
| spl2_22 ),
inference(forward_subsumption_resolution,[],[f775,f425]) ).
fof(f780,plain,
( ! [X0] :
( equalish(X0,additive_identity)
| ~ defined(X0) )
| ~ spl2_1
| spl2_22 ),
inference(forward_subsumption_resolution,[],[f779,f29]) ).
fof(f951,plain,
( ~ defined(a)
| ~ spl2_1
| spl2_22 ),
inference(resolution,[],[f780,f30]) ).
fof(f956,plain,
( $false
| ~ spl2_1
| spl2_22 ),
inference(forward_subsumption_resolution,[],[f951,f28]) ).
fof(f957,plain,
( ~ spl2_1
| spl2_22 ),
inference(avatar_contradiction_clause,[],[f956]) ).
cnf(s3,plain,
spl2_1,
inference(sat_conversion,[],[f72]) ).
cnf(s23,plain,
~ spl2_22,
inference(sat_conversion,[],[f491]) ).
cnf(s51,plain,
( ~ spl2_1
| spl2_22 ),
inference(sat_conversion,[],[f957]) ).
cnf(s52,plain,
~ spl2_1,
inference(rat,[],[s51,s23]) ).
cnf(s53,plain,
$false,
inference(rat,[],[s3,s52]) ).
fof(f958,plain,
$false,
inference(avatar_sat_refutation,[],[s53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD038-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n010.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 00:33:48 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.13/1.82 % (2517757)Input is clausal, will run a generic CNF schedule.
% 6.13/1.82 % (2517766)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=476955497:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.13/1.82 % (2517766)Instruction limit reached!
% 6.13/1.82 % (2517766)------------------------------
% 6.13/1.82 % (2517766)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.13/1.82 % (2517766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.13/1.82 % (2517766)CaDiCaL version: 2.1.3
% 6.13/1.82 % (2517766)Termination reason: Instruction limit
% 6.13/1.82 % (2517766)Termination phase: Saturation
% 6.13/1.82 % (2517766)Time elapsed: 0.038 s
% 6.13/1.82 % (2517766)Peak memory usage: 88 MB
% 6.13/1.82 % (2517766)Instructions burned: 116 (million)
% 6.13/1.82 % (2517767)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=12415165:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.13/1.82 % (2517768)dis-21_1_sil=8000:lcm=predicate:random_seed=145193402:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 6.13/1.82 % (2517763)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2504080969:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.13/1.82 % (2517764)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2296151607:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.13/1.82 % (2517765)lrs+10_1_sil=8000:sp=occurrence:random_seed=2965631437:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.13/1.82 % (2517762)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3987104978:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.13/1.82 % (2517765)Instruction limit reached!
% 6.13/1.82 % (2517765)------------------------------
% 6.13/1.82 % (2517765)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.13/1.82 % (2517765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.13/1.82 % (2517765)CaDiCaL version: 2.1.3
% 6.13/1.82 % (2517765)Termination reason: Instruction limit
% 6.13/1.82 % (2517765)Termination phase: Saturation
% 6.13/1.82 % (2517765)Time elapsed: 0.071 s
% 6.13/1.82 % (2517765)Peak memory usage: 89 MB
% 6.13/1.82 % (2517765)Instructions burned: 108 (million)
% 6.13/1.82 % (2517768)Instruction limit reached!
% 6.13/1.82 % (2517768)------------------------------
% 6.13/1.82 % (2517768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.13/1.82 % (2517768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.13/1.82 % (2517768)CaDiCaL version: 2.1.3
% 6.13/1.82 % (2517768)Termination reason: Instruction limit
% 6.13/1.82 % (2517768)Termination phase: Saturation
% 6.13/1.82 % (2517768)Time elapsed: 0.075 s
% 6.13/1.82 % (2517768)Peak memory usage: 89 MB
% 6.13/1.82 % (2517768)Instructions burned: 117 (million)
% 6.13/1.82 % (2517776)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=1760572387:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 6.13/1.82 % (2517767)Instruction limit reached!
% 6.13/1.82 % (2517767)------------------------------
% 6.13/1.82 % (2517767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.13/1.82 % (2517767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.13/1.82 % (2517767)CaDiCaL version: 2.1.3
% 6.13/1.82 % (2517767)Termination reason: Instruction limit
% 6.13/1.82 % (2517767)Termination phase: Saturation
% 6.13/1.82 % (2517767)Time elapsed: 0.122 s
% 6.13/1.82 % (2517767)Peak memory usage: 89 MB
% 6.13/1.82 % (2517767)Instructions burned: 181 (million)
% 6.13/1.82 % (2517776)Instruction limit reached!
% 6.13/1.82 % (2517776)------------------------------
% 6.13/1.82 % (2517776)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.13/1.82 % (2517776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.13/1.82 % (2517776)CaDiCaL version: 2.1.3
% 6.13/1.82 % (2517776)Termination reason: Instruction limit
% 6.13/1.82 % (2517776)Termination phase: Saturation
% 6.13/1.82 % (2517776)Time elapsed: 0.047 s
% 6.13/1.82 % (2517776)Peak memory usage: 89 MB
% 6.13/1.82 % (2517776)Instructions burned: 144 (million)
% 6.13/1.82 % (2517777)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=633182855:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 6.13/1.82 % (2517778)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1498226087:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.13/1.82 % (2517780)lrs+10_64_to=lpo:sil=8000:random_seed=2519111127:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 6.13/1.82 % (2517781)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=940501464:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 6.13/1.82 % (2517777)Instruction limit reached!
% 6.13/1.82 % (2517777)------------------------------
% 6.13/1.82 % (2517777)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.13/1.82 % (2517777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.13/1.82 % (2517777)CaDiCaL version: 2.1.3
% 6.13/1.82 % (2517777)Termination reason: Instruction limit
% 6.13/1.82 % (2517777)Termination phase: Saturation
% 6.13/1.82 % (2517777)Time elapsed: 0.095 s
% 6.13/1.82 % (2517777)Peak memory usage: 94 MB
% 6.13/1.82 % (2517777)Instructions burned: 189 (million)
% 6.13/1.82 % (2517781)Instruction limit reached!
% 6.13/1.82 % (2517781)------------------------------
% 6.13/1.82 % (2517781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.13/1.82 % (2517781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.13/1.82 % (2517781)CaDiCaL version: 2.1.3
% 6.13/1.82 % (2517781)Termination reason: Instruction limit
% 6.13/1.82 % (2517781)Termination phase: Saturation
% 6.13/1.82 % (2517781)Time elapsed: 0.068 s
% 6.13/1.82 % (2517781)Peak memory usage: 90 MB
% 6.13/1.82 % (2517781)Instructions burned: 194 (million)
% 6.13/1.82 % (2517780)Instruction limit reached!
% 6.13/1.82 % (2517780)------------------------------
% 6.13/1.82 % (2517780)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.13/1.82 % (2517780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.13/1.82 % (2517780)CaDiCaL version: 2.1.3
% 6.13/1.82 % (2517780)Termination reason: Instruction limit
% 6.13/1.82 % (2517780)Termination phase: Saturation
% 6.13/1.82 % (2517780)Time elapsed: 0.080 s
% 6.13/1.82 % (2517780)Peak memory usage: 90 MB
% 6.13/1.82 % (2517780)Instructions burned: 127 (million)
% 6.13/1.82 % (2517778)Instruction limit reached!
% 6.13/1.82 % (2517778)------------------------------
% 6.13/1.82 % (2517778)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.13/1.82 % (2517778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.13/1.82 % (2517778)CaDiCaL version: 2.1.3
% 6.13/1.82 % (2517778)Termination reason: Instruction limit
% 6.13/1.82 % (2517778)Termination phase: Saturation
% 6.13/1.82 % (2517778)Time elapsed: 0.139 s
% 6.13/1.82 % (2517778)Peak memory usage: 90 MB
% 6.13/1.82 % (2517778)Instructions burned: 220 (million)
% 6.13/1.82 % (2517787)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=119123128:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 6.13/1.82 % (2517786)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1761424989:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 6.13/1.82 % (2517788)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=2254590282:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 6.13/1.82 % (2517789)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=312145003:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 6.13/1.82 % (2517788)Instruction limit reached!
% 6.13/1.82 % (2517788)------------------------------
% 6.13/1.82 % (2517788)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.13/1.82 % (2517788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.13/1.82 % (2517788)CaDiCaL version: 2.1.3
% 6.13/1.82 % (2517788)Termination reason: Instruction limit
% 6.13/1.82 % (2517788)Termination phase: Saturation
% 6.13/1.82 % (2517788)Time elapsed: 0.056 s
% 6.13/1.82 % (2517788)Peak memory usage: 90 MB
% 6.13/1.82 % (2517788)Instructions burned: 108 (million)
% 6.13/1.82 % (2517786)Instruction limit reached!
% 6.13/1.82 % (2517786)------------------------------
% 6.13/1.82 % (2517786)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.13/1.82 % (2517786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.13/1.82 % (2517786)CaDiCaL version: 2.1.3
% 6.13/1.82 % (2517786)Termination reason: Instruction limit
% 6.13/1.82 % (2517786)Termination phase: Saturation
% 6.13/1.82 % (2517786)Time elapsed: 0.112 s
% 6.13/1.82 % (2517786)Peak memory usage: 91 MB
% 6.13/1.82 % (2517786)Instructions burned: 158 (million)
% 6.13/1.82 % (2517789)Instruction limit reached!
% 6.13/1.82 % (2517789)------------------------------
% 6.13/1.82 % (2517789)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.13/1.82 % (2517789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.13/1.82 % (2517789)CaDiCaL version: 2.1.3
% 6.13/1.82 % (2517789)Termination reason: Instruction limit
% 6.13/1.82 % (2517789)Termination phase: Saturation
% 6.13/1.82 % (2517789)Time elapsed: 0.065 s
% 6.13/1.82 % (2517789)Peak memory usage: 89 MB
% 6.13/1.82 % (2517789)Instructions burned: 107 (million)
% 6.13/1.82 % (2517794)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1798767964:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 6.13/1.82 % (2517762)First to succeed.
% 6.13/1.82 % (2517762)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2517757"
% 6.13/1.82 % (2517795)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=239253522:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 6.13/1.82 % (2517796)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2169133942:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 6.13/1.82 % (2517787)Also succeeded, but the first one will report.
% 6.13/1.82 % (2517796)Instruction limit reached!
% 6.13/1.82 % (2517796)------------------------------
% 6.13/1.82 % (2517796)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.13/1.82 % (2517796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.13/1.82 % (2517796)CaDiCaL version: 2.1.3
% 6.13/1.82 % (2517796)Termination reason: Instruction limit
% 6.13/1.82 % (2517796)Termination phase: Saturation
% 6.13/1.82 % (2517796)Time elapsed: 0.088 s
% 6.13/1.82 % (2517796)Peak memory usage: 90 MB
% 6.13/1.82 % (2517796)Instructions burned: 134 (million)
% 6.13/1.82 % (2517794)Instruction limit reached!
% 6.13/1.82 % (2517794)------------------------------
% 6.13/1.82 % (2517794)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.13/1.82 % (2517794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.13/1.82 % (2517794)CaDiCaL version: 2.1.3
% 6.13/1.82 % (2517794)Termination reason: Instruction limit
% 6.13/1.82 % (2517794)Termination phase: Saturation
% 6.13/1.82 % (2517794)Time elapsed: 0.167 s
% 6.13/1.82 % (2517794)Peak memory usage: 89 MB
% 6.13/1.82 % (2517794)Instructions burned: 242 (million)
% 6.13/1.82 % (2517762)Refutation found. Thanks to Tanya!
% 6.13/1.82 % SZS status Unsatisfiable for theBenchmark
% 6.13/1.82 % SZS output start Proof for theBenchmark
% See solution above
% 8.69/2.01 % (2517762)------------------------------
% 8.69/2.01 % (2517762)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.69/2.01 % (2517762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/2.01 % (2517762)CaDiCaL version: 2.1.3
% 8.69/2.01 % (2517762)Termination reason: Refutation
% 8.69/2.01 % (2517762)Time elapsed: 0.718 s
% 8.69/2.01 % (2517762)Peak memory usage: 128 MB
% 8.69/2.01 % (2517762)Instructions burned: 1050 (million)
% 8.69/2.01 % (2517762)------------------------------
% 8.69/2.01 % (2517762)------------------------------
% 8.69/2.01 % (2517757)Success in time 1.152 s
% 8.69/2.01 % Vampire exiting
%------------------------------------------------------------------------------