%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD012-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 09:48:59 AM UTC 2026
% Result : Unsatisfiable 9.02s 1.86s
% Output : Refutation 10.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 33
% Syntax : Number of formulae : 158 ( 49 unt; 15 def)
% Number of atoms : 342 ( 10 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 361 ( 177 ~; 174 |; 0 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 11 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 90 ( 0 sgn 90 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X4,X5,X2)
| ~ sum(X0,X3,X4)
| ~ sum(X3,X5,X1)
| sum(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_addition_1) ).
fof(f3,axiom,
! [X0] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_addition) ).
fof(f4,axiom,
! [X0] :
( sum(additive_inverse(X0),X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_inverse_addition) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ sum(X1,X0,X2)
| sum(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_addition) ).
fof(f6,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X4,X5,X2)
| ~ product(X0,X3,X4)
| ~ product(X3,X5,X1)
| product(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_multiplication_1) ).
fof(f8,axiom,
! [X0] :
( product(multiplicative_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_multiplication) ).
fof(f9,axiom,
! [X0] :
( product(multiplicative_inverse(X0),X0,multiplicative_identity)
| sum(additive_identity,X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_inverse_multiplication) ).
fof(f10,axiom,
! [X2,X0,X1] :
( ~ product(X1,X0,X2)
| product(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_multiplication) ).
fof(f11,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X5,X6,X2)
| ~ sum(X3,X4,X5)
| sum(X0,X1,X2)
| ~ product(X3,X6,X0)
| ~ product(X4,X6,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity_1) ).
fof(f16,axiom,
! [X0,X1] :
( defined(multiply(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_multiplication) ).
fof(f17,axiom,
defined(multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_multiplicative_identity) ).
fof(f18,axiom,
! [X0] :
( sum(additive_identity,X0,additive_identity)
| ~ defined(X0)
| defined(multiplicative_inverse(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_multiplicative_inverse) ).
fof(f20,axiom,
! [X0,X1] :
( product(X0,X1,multiply(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',totality_of_multiplication) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
fof(f28,axiom,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).
fof(f29,negated_conjecture,
~ sum(additive_identity,a,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_3) ).
fof(f30,negated_conjecture,
~ sum(additive_identity,b,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_4) ).
fof(f31,negated_conjecture,
~ product(multiplicative_identity,multiplicative_inverse(multiply(a,b)),multiply(multiplicative_inverse(a),multiplicative_inverse(b))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_product_5) ).
fof(f32,definition,
sF0 = multiply(a,b),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f33,plain,
multiply(a,b) = sF0,
inference(reorient_equations,[],[f32]) ).
fof(f34,definition,
sF1 = multiplicative_inverse(sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f35,plain,
multiplicative_inverse(sF0) = sF1,
inference(reorient_equations,[],[f34]) ).
fof(f36,definition,
sF2 = multiplicative_inverse(a),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f37,plain,
multiplicative_inverse(a) = sF2,
inference(reorient_equations,[],[f36]) ).
fof(f38,definition,
sF3 = multiplicative_inverse(b),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f39,plain,
multiplicative_inverse(b) = sF3,
inference(reorient_equations,[],[f38]) ).
fof(f40,definition,
sF4 = multiply(sF2,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f41,plain,
multiply(sF2,sF3) = sF4,
inference(reorient_equations,[],[f40]) ).
fof(f42,plain,
~ product(multiplicative_identity,sF1,sF4),
inference(definition_folding,[],[f31,f41,f39,f37,f35,f33]) ).
fof(f43,plain,
( product(sF3,b,multiplicative_identity)
| sum(additive_identity,b,additive_identity)
| ~ defined(b) ),
inference(superposition,[],[f9,f39]) ).
fof(f44,plain,
( product(sF2,a,multiplicative_identity)
| sum(additive_identity,a,additive_identity)
| ~ defined(a) ),
inference(superposition,[],[f9,f37]) ).
fof(f45,plain,
( product(sF2,a,multiplicative_identity)
| ~ defined(a) ),
inference(forward_subsumption_resolution,[],[f44,f29]) ).
fof(f46,plain,
( product(sF3,b,multiplicative_identity)
| ~ defined(b) ),
inference(forward_subsumption_resolution,[],[f43,f30]) ).
fof(f47,plain,
product(sF2,a,multiplicative_identity),
inference(forward_subsumption_resolution,[],[f45,f27]) ).
fof(f48,plain,
product(sF3,b,multiplicative_identity),
inference(forward_subsumption_resolution,[],[f46,f28]) ).
fof(f49,plain,
( product(sF1,sF0,multiplicative_identity)
| sum(additive_identity,sF0,additive_identity)
| ~ defined(sF0) ),
inference(superposition,[],[f9,f35]) ).
fof(f51,definition,
( spl5_1
<=> defined(sF0) ),
introduced(definition,[new_symbols(definition,[spl5_1])],[avatar_definition]) ).
fof(f53,plain,
( ~ defined(sF0)
| spl5_1 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f55,definition,
( spl5_2
<=> sum(additive_identity,sF0,additive_identity) ),
introduced(definition,[new_symbols(definition,[spl5_2])],[avatar_definition]) ).
fof(f57,plain,
( sum(additive_identity,sF0,additive_identity)
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f59,definition,
( spl5_3
<=> product(sF1,sF0,multiplicative_identity) ),
introduced(definition,[new_symbols(definition,[spl5_3])],[avatar_definition]) ).
fof(f61,plain,
( product(sF1,sF0,multiplicative_identity)
| ~ spl5_3 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f62,plain,
( ~ spl5_1
| spl5_2
| spl5_3 ),
inference(avatar_split_clause,[],[f49,f59,f55,f51]) ).
fof(f64,plain,
product(a,sF2,multiplicative_identity),
inference(resolution,[],[f10,f47]) ).
fof(f65,plain,
product(b,sF3,multiplicative_identity),
inference(resolution,[],[f10,f48]) ).
fof(f67,plain,
( product(a,b,sF0)
| ~ defined(a)
| ~ defined(b) ),
inference(superposition,[],[f20,f33]) ).
fof(f68,plain,
( product(sF2,sF3,sF4)
| ~ defined(sF2)
| ~ defined(sF3) ),
inference(superposition,[],[f20,f41]) ).
fof(f70,definition,
( spl5_4
<=> defined(sF3) ),
introduced(definition,[new_symbols(definition,[spl5_4])],[avatar_definition]) ).
fof(f72,plain,
( ~ defined(sF3)
| spl5_4 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f74,definition,
( spl5_5
<=> defined(sF2) ),
introduced(definition,[new_symbols(definition,[spl5_5])],[avatar_definition]) ).
fof(f75,plain,
( defined(sF2)
| ~ spl5_5 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f78,definition,
( spl5_6
<=> product(sF2,sF3,sF4) ),
introduced(definition,[new_symbols(definition,[spl5_6])],[avatar_definition]) ).
fof(f80,plain,
( product(sF2,sF3,sF4)
| ~ spl5_6 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f81,plain,
( ~ spl5_4
| ~ spl5_5
| spl5_6 ),
inference(avatar_split_clause,[],[f68,f78,f74,f70]) ).
fof(f82,plain,
( product(a,b,sF0)
| ~ defined(b) ),
inference(forward_subsumption_resolution,[],[f67,f27]) ).
fof(f83,plain,
product(a,b,sF0),
inference(forward_subsumption_resolution,[],[f82,f28]) ).
fof(f84,plain,
product(b,a,sF0),
inference(resolution,[],[f83,f10]) ).
fof(f86,plain,
( ~ defined(b)
| defined(multiplicative_inverse(b)) ),
inference(resolution,[],[f18,f30]) ).
fof(f87,plain,
( ~ defined(a)
| defined(multiplicative_inverse(a)) ),
inference(resolution,[],[f18,f29]) ).
fof(f88,plain,
defined(multiplicative_inverse(a)),
inference(forward_subsumption_resolution,[],[f87,f27]) ).
fof(f89,plain,
defined(multiplicative_inverse(b)),
inference(forward_subsumption_resolution,[],[f86,f28]) ).
fof(f90,plain,
defined(sF2),
inference(forward_demodulation,[],[f88,f37]) ).
fof(f91,plain,
defined(sF3),
inference(forward_demodulation,[],[f89,f39]) ).
fof(f92,plain,
spl5_5,
inference(avatar_split_clause,[],[f90,f74]) ).
fof(f93,plain,
( $false
| spl5_4 ),
inference(forward_subsumption_resolution,[],[f91,f72]) ).
fof(f94,plain,
spl5_4,
inference(avatar_contradiction_clause,[],[f93]) ).
fof(f117,plain,
( ! [X2,X0,X1] :
( ~ product(X1,sF3,X2)
| ~ product(X0,X1,sF2)
| product(X0,X2,sF4) )
| ~ spl5_6 ),
inference(resolution,[],[f80,f6]) ).
fof(f120,plain,
! [X2,X3,X0,X1] :
( ~ product(X2,X0,X3)
| ~ product(X1,X2,multiplicative_identity)
| ~ defined(X0)
| product(X1,X3,X0) ),
inference(resolution,[],[f8,f6]) ).
fof(f145,plain,
! [X0] :
( ~ product(X0,sF2,multiplicative_identity)
| ~ defined(a)
| product(X0,multiplicative_identity,a) ),
inference(resolution,[],[f120,f47]) ).
fof(f149,plain,
! [X0] :
( ~ product(X0,a,multiplicative_identity)
| ~ defined(b)
| product(X0,sF0,b) ),
inference(resolution,[],[f120,f83]) ).
fof(f150,plain,
! [X0] :
( ~ product(X0,b,multiplicative_identity)
| ~ defined(a)
| product(X0,sF0,a) ),
inference(resolution,[],[f120,f84]) ).
fof(f157,plain,
! [X0] :
( ~ product(X0,b,multiplicative_identity)
| product(X0,sF0,a) ),
inference(forward_subsumption_resolution,[],[f150,f27]) ).
fof(f158,plain,
! [X0] :
( ~ product(X0,a,multiplicative_identity)
| product(X0,sF0,b) ),
inference(forward_subsumption_resolution,[],[f149,f28]) ).
fof(f160,plain,
! [X0] :
( ~ product(X0,sF2,multiplicative_identity)
| product(X0,multiplicative_identity,a) ),
inference(forward_subsumption_resolution,[],[f145,f27]) ).
fof(f184,plain,
product(sF2,sF0,b),
inference(resolution,[],[f158,f47]) ).
fof(f191,plain,
product(sF0,sF2,b),
inference(resolution,[],[f184,f10]) ).
fof(f207,plain,
product(a,multiplicative_identity,a),
inference(resolution,[],[f64,f160]) ).
fof(f217,plain,
product(multiplicative_identity,a,a),
inference(resolution,[],[f207,f10]) ).
fof(f222,plain,
( defined(sF0)
| ~ defined(a)
| ~ defined(b) ),
inference(superposition,[],[f16,f33]) ).
fof(f225,plain,
( ~ defined(a)
| ~ defined(b)
| spl5_1 ),
inference(forward_subsumption_resolution,[],[f222,f53]) ).
fof(f227,plain,
( ~ defined(b)
| spl5_1 ),
inference(forward_subsumption_resolution,[],[f225,f27]) ).
fof(f228,plain,
( $false
| spl5_1 ),
inference(forward_subsumption_resolution,[],[f227,f28]) ).
fof(f229,plain,
spl5_1,
inference(avatar_contradiction_clause,[],[f228]) ).
fof(f252,plain,
! [X2,X3,X0,X1] :
( ~ sum(X1,X2,X3)
| ~ sum(X0,X1,additive_identity)
| sum(X0,X3,X2)
| ~ defined(X2) ),
inference(resolution,[],[f1,f3]) ).
fof(f255,plain,
product(sF3,sF0,a),
inference(resolution,[],[f157,f48]) ).
fof(f262,plain,
product(sF0,sF3,a),
inference(resolution,[],[f255,f10]) ).
fof(f311,plain,
! [X0] :
( ~ product(X0,sF0,multiplicative_identity)
| ~ defined(sF2)
| product(X0,b,sF2) ),
inference(resolution,[],[f191,f120]) ).
fof(f315,plain,
( ! [X0] :
( ~ product(X0,sF0,multiplicative_identity)
| product(X0,b,sF2) )
| ~ spl5_5 ),
inference(forward_subsumption_resolution,[],[f311,f75]) ).
fof(f319,plain,
! [X0] :
( sum(X0,additive_inverse(X0),additive_identity)
| ~ defined(X0) ),
inference(resolution,[],[f4,f5]) ).
fof(f320,plain,
! [X2,X3,X0,X1] :
( ~ sum(X2,additive_inverse(X0),X3)
| ~ sum(X1,X2,X0)
| ~ defined(X0)
| sum(X1,X3,additive_identity) ),
inference(resolution,[],[f319,f1]) ).
fof(f323,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X1,X4,X3)
| sum(X2,X3,X4)
| ~ product(X0,X4,X2)
| ~ sum(X0,X1,multiplicative_identity)
| ~ defined(X4) ),
inference(resolution,[],[f11,f8]) ).
fof(f327,plain,
! [X2,X3,X0,X1] :
( ~ product(X1,sF3,X3)
| sum(X2,X3,multiplicative_identity)
| ~ product(X0,sF3,X2)
| ~ sum(X0,X1,b) ),
inference(resolution,[],[f11,f65]) ).
fof(f330,plain,
! [X2,X3,X0,X1] :
( ~ product(X1,a,X3)
| sum(X2,X3,multiplicative_identity)
| ~ product(X0,a,X2)
| ~ sum(X0,X1,sF2) ),
inference(resolution,[],[f11,f47]) ).
fof(f465,plain,
( ! [X0] :
( ~ product(X0,b,sF2)
| product(X0,multiplicative_identity,sF4) )
| ~ spl5_6 ),
inference(resolution,[],[f117,f65]) ).
fof(f486,plain,
! [X0,X1] :
( ~ sum(X0,additive_identity,additive_identity)
| sum(X0,X1,X1)
| ~ defined(X1)
| ~ defined(X1) ),
inference(resolution,[],[f252,f3]) ).
fof(f493,plain,
! [X0,X1] :
( ~ sum(X0,additive_identity,additive_identity)
| sum(X0,X1,X1)
| ~ defined(X1) ),
inference(duplicate_literal_removal,[],[f486]) ).
fof(f554,plain,
! [X0,X1] :
( sum(X0,multiplicative_identity,sF2)
| ~ product(X1,sF2,X0)
| ~ sum(X1,a,multiplicative_identity)
| ~ defined(sF2) ),
inference(resolution,[],[f323,f64]) ).
fof(f602,plain,
( ! [X0,X1] :
( ~ product(X1,sF2,X0)
| sum(X0,multiplicative_identity,sF2)
| ~ sum(X1,a,multiplicative_identity) )
| ~ spl5_5 ),
inference(forward_subsumption_resolution,[],[f554,f75]) ).
fof(f757,plain,
! [X0,X1] :
( ~ product(X1,sF3,X0)
| sum(X0,a,multiplicative_identity)
| ~ sum(X1,sF0,b) ),
inference(resolution,[],[f327,f262]) ).
fof(f927,plain,
( sum(sF2,multiplicative_identity,sF2)
| ~ sum(multiplicative_identity,a,multiplicative_identity)
| ~ defined(sF2)
| ~ spl5_5 ),
inference(resolution,[],[f602,f8]) ).
fof(f963,plain,
( sum(sF2,multiplicative_identity,sF2)
| ~ sum(multiplicative_identity,a,multiplicative_identity)
| ~ spl5_5 ),
inference(forward_subsumption_resolution,[],[f927,f75]) ).
fof(f965,definition,
( spl5_53
<=> sum(multiplicative_identity,a,multiplicative_identity) ),
introduced(definition,[new_symbols(definition,[spl5_53])],[avatar_definition]) ).
fof(f967,plain,
( ~ sum(multiplicative_identity,a,multiplicative_identity)
| spl5_53 ),
inference(avatar_component_clause,[],[f965]) ).
fof(f969,definition,
( spl5_54
<=> sum(sF2,multiplicative_identity,sF2) ),
introduced(definition,[new_symbols(definition,[spl5_54])],[avatar_definition]) ).
fof(f971,plain,
( sum(sF2,multiplicative_identity,sF2)
| ~ spl5_54 ),
inference(avatar_component_clause,[],[f969]) ).
fof(f972,plain,
( ~ spl5_53
| spl5_54
| ~ spl5_5 ),
inference(avatar_split_clause,[],[f963,f74,f969,f965]) ).
fof(f973,plain,
! [X0,X1] :
( ~ sum(X0,X1,X1)
| ~ defined(X1)
| sum(X0,additive_identity,additive_identity)
| ~ defined(X1) ),
inference(resolution,[],[f320,f319]) ).
fof(f977,plain,
! [X0,X1] :
( ~ sum(X0,X1,X1)
| ~ defined(X1)
| sum(X0,additive_identity,additive_identity) ),
inference(duplicate_literal_removal,[],[f973]) ).
fof(f1028,definition,
( spl5_60
<=> sum(a,multiplicative_identity,multiplicative_identity) ),
introduced(definition,[new_symbols(definition,[spl5_60])],[avatar_definition]) ).
fof(f1029,plain,
( ~ sum(a,multiplicative_identity,multiplicative_identity)
| spl5_60 ),
inference(avatar_component_clause,[],[f1028]) ).
fof(f1030,plain,
( sum(a,multiplicative_identity,multiplicative_identity)
| ~ spl5_60 ),
inference(avatar_component_clause,[],[f1028]) ).
fof(f1102,plain,
( sum(multiplicative_identity,a,multiplicative_identity)
| ~ sum(b,sF0,b) ),
inference(resolution,[],[f757,f65]) ).
fof(f1119,plain,
( ~ sum(b,sF0,b)
| spl5_53 ),
inference(forward_subsumption_resolution,[],[f1102,f967]) ).
fof(f1165,plain,
( product(sF1,b,sF2)
| ~ spl5_3
| ~ spl5_5 ),
inference(resolution,[],[f315,f61]) ).
fof(f1170,plain,
( product(sF1,multiplicative_identity,sF4)
| ~ spl5_3
| ~ spl5_5
| ~ spl5_6 ),
inference(resolution,[],[f1165,f465]) ).
fof(f1192,plain,
( product(multiplicative_identity,sF1,sF4)
| ~ spl5_3
| ~ spl5_5
| ~ spl5_6 ),
inference(resolution,[],[f1170,f10]) ).
fof(f1200,plain,
( $false
| ~ spl5_3
| ~ spl5_5
| ~ spl5_6 ),
inference(forward_subsumption_resolution,[],[f1192,f42]) ).
fof(f1201,plain,
( ~ spl5_3
| ~ spl5_5
| ~ spl5_6 ),
inference(avatar_contradiction_clause,[],[f1200]) ).
fof(f1206,plain,
( sum(sF0,additive_identity,additive_identity)
| ~ spl5_2 ),
inference(resolution,[],[f57,f5]) ).
fof(f1209,plain,
( ! [X0] :
( sum(sF0,X0,X0)
| ~ defined(X0) )
| ~ spl5_2 ),
inference(resolution,[],[f1206,f493]) ).
fof(f1392,definition,
( spl5_88
<=> sum(multiplicative_identity,sF2,sF2) ),
introduced(definition,[new_symbols(definition,[spl5_88])],[avatar_definition]) ).
fof(f1393,plain,
( ~ sum(multiplicative_identity,sF2,sF2)
| spl5_88 ),
inference(avatar_component_clause,[],[f1392]) ).
fof(f1402,plain,
! [X0,X1] :
( ~ product(X1,a,X0)
| sum(X0,multiplicative_identity,multiplicative_identity)
| ~ sum(X1,sF2,sF2) ),
inference(resolution,[],[f330,f47]) ).
fof(f1418,plain,
( sum(a,multiplicative_identity,multiplicative_identity)
| ~ sum(multiplicative_identity,sF2,sF2) ),
inference(resolution,[],[f1402,f217]) ).
fof(f1423,plain,
( ~ sum(multiplicative_identity,sF2,sF2)
| spl5_60 ),
inference(forward_subsumption_resolution,[],[f1418,f1029]) ).
fof(f1431,plain,
( ~ spl5_88
| spl5_60 ),
inference(avatar_split_clause,[],[f1423,f1028,f1392]) ).
fof(f1607,plain,
( ! [X0] :
( sum(X0,sF0,X0)
| ~ defined(X0) )
| ~ spl5_2 ),
inference(resolution,[],[f1209,f5]) ).
fof(f3742,plain,
( ~ defined(b)
| ~ spl5_2
| spl5_53 ),
inference(resolution,[],[f1607,f1119]) ).
fof(f3750,plain,
( $false
| ~ spl5_2
| spl5_53 ),
inference(forward_subsumption_resolution,[],[f3742,f28]) ).
fof(f3751,plain,
( ~ spl5_2
| spl5_53 ),
inference(avatar_contradiction_clause,[],[f3750]) ).
fof(f3785,plain,
( sum(multiplicative_identity,sF2,sF2)
| ~ spl5_54 ),
inference(resolution,[],[f971,f5]) ).
fof(f3786,plain,
( $false
| ~ spl5_54
| spl5_88 ),
inference(forward_subsumption_resolution,[],[f3785,f1393]) ).
fof(f3787,plain,
( ~ spl5_54
| spl5_88 ),
inference(avatar_contradiction_clause,[],[f3786]) ).
fof(f3800,plain,
( ~ defined(multiplicative_identity)
| sum(a,additive_identity,additive_identity)
| ~ spl5_60 ),
inference(resolution,[],[f1030,f977]) ).
fof(f3810,plain,
( sum(a,additive_identity,additive_identity)
| ~ spl5_60 ),
inference(forward_subsumption_resolution,[],[f3800,f17]) ).
fof(f3825,plain,
( sum(additive_identity,a,additive_identity)
| ~ spl5_60 ),
inference(resolution,[],[f3810,f5]) ).
fof(f3826,plain,
( $false
| ~ spl5_60 ),
inference(forward_subsumption_resolution,[],[f3825,f29]) ).
fof(f3827,plain,
~ spl5_60,
inference(avatar_contradiction_clause,[],[f3826]) ).
cnf(s1,plain,
( ~ spl5_1
| spl5_2
| spl5_3 ),
inference(sat_conversion,[],[f62]) ).
cnf(s2,plain,
( ~ spl5_4
| ~ spl5_5
| spl5_6 ),
inference(sat_conversion,[],[f81]) ).
cnf(s3,plain,
spl5_5,
inference(sat_conversion,[],[f92]) ).
cnf(s4,plain,
spl5_4,
inference(sat_conversion,[],[f94]) ).
cnf(s8,plain,
spl5_1,
inference(sat_conversion,[],[f229]) ).
cnf(s33,plain,
( ~ spl5_5
| ~ spl5_53
| spl5_54 ),
inference(sat_conversion,[],[f972]) ).
cnf(s45,plain,
( ~ spl5_3
| ~ spl5_5
| ~ spl5_6 ),
inference(sat_conversion,[],[f1201]) ).
cnf(s65,plain,
( spl5_60
| ~ spl5_88 ),
inference(sat_conversion,[],[f1431]) ).
cnf(s122,plain,
( ~ spl5_2
| spl5_53 ),
inference(sat_conversion,[],[f3751]) ).
cnf(s126,plain,
( ~ spl5_54
| spl5_88 ),
inference(sat_conversion,[],[f3787]) ).
cnf(s128,plain,
~ spl5_60,
inference(sat_conversion,[],[f3827]) ).
cnf(s129,plain,
~ spl5_88,
inference(rat,[],[s65,s128]) ).
cnf(s130,plain,
~ spl5_54,
inference(rat,[],[s126,s129]) ).
cnf(s132,plain,
( ~ spl5_5
| ~ spl5_53 ),
inference(rat,[],[s33,s130]) ).
cnf(s133,plain,
~ spl5_53,
inference(rat,[],[s132,s3]) ).
cnf(s134,plain,
~ spl5_2,
inference(rat,[],[s122,s133]) ).
cnf(s135,plain,
spl5_6,
inference(rat,[],[s2,s3,s4]) ).
cnf(s136,plain,
~ spl5_3,
inference(rat,[],[s45,s3,s135]) ).
cnf(s137,plain,
$false,
inference(rat,[],[s1,s136,s134,s8]) ).
fof(f3833,plain,
$false,
inference(avatar_sat_refutation,[],[s137]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD012-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.17 % Computer : n011.cluster.edu
% 0.06/0.17 % Model : x86_64 x86_64
% 0.06/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.17 % Memory : 8046.5625MB
% 0.06/0.17 % OS : Linux 6.8.0-71-generic
% 0.06/0.17 % CPULimit : 300
% 0.06/0.17 % WCLimit : 300
% 0.06/0.17 % DateTime : Tue Sep 29 00:25:06 UTC 2026
% 0.06/0.17 % CPUTime :
% 0.06/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.20 Running first-order theorem proving
% 0.06/0.20 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.61/1.61 % (3947699)Input is clausal, will run a generic CNF schedule.
% 7.61/1.61 % (3947709)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3235902477:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 7.61/1.61 % (3947710)dis-21_1_sil=8000:lcm=predicate:random_seed=2353004545: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)
% 7.61/1.61 % (3947707)lrs+10_1_sil=8000:sp=occurrence:random_seed=3588916017:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 7.61/1.61 % (3947705)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1064306529:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 7.61/1.61 % (3947708)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3779778160:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 7.61/1.61 % (3947706)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=979598720:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 7.61/1.61 % (3947704)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=3801475346:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 7.61/1.61 % (3947709)Instruction limit reached!
% 7.61/1.61 % (3947709)------------------------------
% 7.61/1.61 % (3947709)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.61/1.61 % (3947709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.61/1.61 % (3947709)CaDiCaL version: 2.1.3
% 7.61/1.61 % (3947709)Termination reason: Instruction limit
% 7.61/1.61 % (3947709)Termination phase: Saturation
% 7.61/1.61 % (3947709)Time elapsed: 0.058 s
% 7.61/1.61 % (3947709)Peak memory usage: 89 MB
% 7.61/1.61 % (3947709)Instructions burned: 183 (million)
% 7.61/1.61 % (3947708)Instruction limit reached!
% 7.61/1.61 % (3947708)------------------------------
% 7.61/1.61 % (3947708)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.61/1.61 % (3947708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.61/1.61 % (3947708)CaDiCaL version: 2.1.3
% 7.61/1.61 % (3947708)Termination reason: Instruction limit
% 7.61/1.61 % (3947708)Termination phase: Saturation
% 7.61/1.61 % (3947708)Time elapsed: 0.066 s
% 7.61/1.61 % (3947708)Peak memory usage: 88 MB
% 7.61/1.61 % (3947708)Instructions burned: 115 (million)
% 7.61/1.61 % (3947707)Instruction limit reached!
% 7.61/1.61 % (3947707)------------------------------
% 7.61/1.61 % (3947707)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.61/1.61 % (3947707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.61/1.61 % (3947707)CaDiCaL version: 2.1.3
% 7.61/1.61 % (3947707)Termination reason: Instruction limit
% 7.61/1.61 % (3947707)Termination phase: Saturation
% 7.61/1.61 % (3947707)Time elapsed: 0.067 s
% 7.61/1.61 % (3947707)Peak memory usage: 88 MB
% 7.61/1.61 % (3947707)Instructions burned: 108 (million)
% 7.61/1.61 % (3947710)Instruction limit reached!
% 7.61/1.61 % (3947710)------------------------------
% 7.61/1.61 % (3947710)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.61/1.61 % (3947710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.61/1.61 % (3947710)CaDiCaL version: 2.1.3
% 7.61/1.61 % (3947710)Termination reason: Instruction limit
% 7.61/1.61 % (3947710)Termination phase: Saturation
% 7.61/1.61 % (3947710)Time elapsed: 0.073 s
% 7.61/1.61 % (3947710)Peak memory usage: 89 MB
% 7.61/1.61 % (3947710)Instructions burned: 118 (million)
% 7.61/1.61 % (3947718)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=525865134:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 7.61/1.61 % (3947718)Instruction limit reached!
% 7.61/1.61 % (3947718)------------------------------
% 7.61/1.61 % (3947718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.61/1.61 % (3947718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.61/1.61 % (3947718)CaDiCaL version: 2.1.3
% 7.61/1.61 % (3947718)Termination reason: Instruction limit
% 7.61/1.61 % (3947718)Termination phase: Saturation
% 7.61/1.61 % (3947718)Time elapsed: 0.030 s
% 7.61/1.61 % (3947718)Peak memory usage: 88 MB
% 7.61/1.61 % (3947718)Instructions burned: 148 (million)
% 7.61/1.61 % (3947721)lrs+10_64_to=lpo:sil=8000:random_seed=4126241877:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 9.02/1.85 % (3947720)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2978419614:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 9.02/1.85 % (3947719)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3273793344: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)
% 9.02/1.85 % (3947723)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2863940261:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 9.02/1.85 % (3947721)Instruction limit reached!
% 9.02/1.85 % (3947721)------------------------------
% 9.02/1.85 % (3947721)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.02/1.85 % (3947721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.02/1.85 % (3947721)CaDiCaL version: 2.1.3
% 9.02/1.85 % (3947721)Termination reason: Instruction limit
% 9.02/1.85 % (3947721)Termination phase: Saturation
% 9.02/1.85 % (3947721)Time elapsed: 0.074 s
% 9.02/1.85 % (3947721)Peak memory usage: 89 MB
% 9.02/1.85 % (3947721)Instructions burned: 126 (million)
% 9.02/1.85 % (3947719)Instruction limit reached!
% 9.02/1.85 % (3947719)------------------------------
% 9.02/1.85 % (3947719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.02/1.85 % (3947719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.02/1.85 % (3947719)CaDiCaL version: 2.1.3
% 9.02/1.85 % (3947719)Termination reason: Instruction limit
% 9.02/1.85 % (3947719)Termination phase: Saturation
% 9.02/1.85 % (3947719)Time elapsed: 0.098 s
% 9.02/1.85 % (3947719)Peak memory usage: 93 MB
% 9.02/1.85 % (3947719)Instructions burned: 191 (million)
% 9.02/1.85 % (3947723)Instruction limit reached!
% 9.02/1.85 % (3947723)------------------------------
% 9.02/1.85 % (3947723)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.02/1.85 % (3947723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.02/1.85 % (3947723)CaDiCaL version: 2.1.3
% 9.02/1.85 % (3947723)Termination reason: Instruction limit
% 9.02/1.85 % (3947723)Termination phase: Saturation
% 9.02/1.85 % (3947723)Time elapsed: 0.067 s
% 9.02/1.85 % (3947723)Peak memory usage: 89 MB
% 9.02/1.85 % (3947723)Instructions burned: 196 (million)
% 9.02/1.85 % (3947720)Instruction limit reached!
% 9.02/1.85 % (3947720)------------------------------
% 9.02/1.85 % (3947720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.02/1.85 % (3947720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.02/1.85 % (3947720)CaDiCaL version: 2.1.3
% 9.02/1.85 % (3947720)Termination reason: Instruction limit
% 9.02/1.85 % (3947720)Termination phase: Saturation
% 9.02/1.85 % (3947720)Time elapsed: 0.130 s
% 9.02/1.85 % (3947720)Peak memory usage: 88 MB
% 9.02/1.85 % (3947720)Instructions burned: 220 (million)
% 9.02/1.85 % (3947728)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2742347619:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 9.02/1.85 % (3947730)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=4202961906:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 9.02/1.85 % (3947729)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1448132433:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 9.02/1.85 % (3947730)Instruction limit reached!
% 9.02/1.85 % (3947730)------------------------------
% 9.02/1.85 % (3947730)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.02/1.85 % (3947730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.02/1.85 % (3947730)CaDiCaL version: 2.1.3
% 9.02/1.85 % (3947730)Termination reason: Instruction limit
% 9.02/1.85 % (3947730)Termination phase: Saturation
% 9.02/1.85 % (3947730)Time elapsed: 0.029 s
% 9.02/1.85 % (3947730)Peak memory usage: 89 MB
% 9.02/1.85 % (3947730)Instructions burned: 109 (million)
% 9.02/1.85 % (3947731)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1562565349:i=107_2995 on theBenchmark for (2995ds/107Mi)
% 9.02/1.85 % (3947731)Refutation not found, incomplete strategy
% 9.02/1.85 % (3947731)------------------------------
% 9.02/1.85 % (3947731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.02/1.85 % (3947731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.02/1.85 % (3947731)CaDiCaL version: 2.1.3
% 9.02/1.85 % (3947731)Termination reason: Refutation not found, incomplete strategy
% 9.02/1.85 % (3947731)Time elapsed: 0.001 s
% 9.02/1.85 % (3947731)Peak memory usage: 87 MB
% 9.02/1.85 % (3947731)Instructions burned: 1 (million)
% 9.02/1.85 % (3947728)Instruction limit reached!
% 9.02/1.85 % (3947728)------------------------------
% 9.02/1.85 % (3947728)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.02/1.85 % (3947728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.02/1.85 % (3947728)CaDiCaL version: 2.1.3
% 9.02/1.85 % (3947728)Termination reason: Instruction limit
% 9.02/1.85 % (3947728)Termination phase: Saturation
% 9.02/1.85 % (3947728)Time elapsed: 0.110 s
% 9.02/1.85 % (3947728)Peak memory usage: 90 MB
% 9.02/1.85 % (3947728)Instructions burned: 158 (million)
% 9.02/1.85 % (3947735)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=155614951:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2994 on theBenchmark for (2994ds/242Mi)
% 9.02/1.86 % (3947735)Instruction limit reached!
% 9.02/1.86 % (3947735)------------------------------
% 9.02/1.86 % (3947735)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.02/1.86 % (3947735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.02/1.86 % (3947735)CaDiCaL version: 2.1.3
% 9.02/1.86 % (3947735)Termination reason: Instruction limit
% 9.02/1.86 % (3947735)Termination phase: Saturation
% 9.02/1.86 % (3947735)Time elapsed: 0.080 s
% 9.02/1.86 % (3947735)Peak memory usage: 89 MB
% 9.02/1.86 % (3947735)Instructions burned: 243 (million)
% 9.02/1.86 % (3947737)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1241300579:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 9.02/1.86 % (3947731)------------------------------
% 9.02/1.86 % (3947731)------------------------------
% 9.02/1.86 % (3947739)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=405614387:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 9.02/1.86 % (3947739)Instruction limit reached!
% 9.02/1.86 % (3947739)------------------------------
% 9.02/1.86 % (3947739)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.02/1.86 % (3947739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.02/1.86 % (3947739)CaDiCaL version: 2.1.3
% 9.02/1.86 % (3947739)Termination reason: Instruction limit
% 9.02/1.86 % (3947739)Termination phase: Saturation
% 9.02/1.86 % (3947739)Time elapsed: 0.045 s
% 9.02/1.86 % (3947739)Peak memory usage: 89 MB
% 9.02/1.86 % (3947739)Instructions burned: 134 (million)
% 9.02/1.86 % (3947743)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=4229705557:i=191:fgj=on:bd=all_2991 on theBenchmark for (2991ds/191Mi)
% 9.02/1.86 % (3947741)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3120737471:i=499:bd=all_2991 on theBenchmark for (2991ds/499Mi)
% 9.02/1.86 % (3947743)Instruction limit reached!
% 9.02/1.86 % (3947743)------------------------------
% 9.02/1.86 % (3947743)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.02/1.86 % (3947743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.02/1.86 % (3947743)CaDiCaL version: 2.1.3
% 9.02/1.86 % (3947743)Termination reason: Instruction limit
% 9.02/1.86 % (3947743)Termination phase: Saturation
% 9.02/1.86 % (3947743)Time elapsed: 0.055 s
% 9.02/1.86 % (3947743)Peak memory usage: 91 MB
% 9.02/1.86 % (3947743)Instructions burned: 193 (million)
% 9.02/1.86 % (3947746)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1883716223:i=264:kws=precedence:fsr=off_2989 on theBenchmark for (2989ds/264Mi)
% 9.02/1.86 % (3947704)First to succeed.
% 9.02/1.86 % (3947704)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3947699"
% 9.02/1.86 % (3947746)Instruction limit reached!
% 9.02/1.86 % (3947746)------------------------------
% 9.02/1.86 % (3947746)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.02/1.86 % (3947746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.02/1.86 % (3947746)CaDiCaL version: 2.1.3
% 9.02/1.86 % (3947746)Termination reason: Instruction limit
% 9.02/1.86 % (3947746)Termination phase: Saturation
% 9.02/1.86 % (3947746)Time elapsed: 0.087 s
% 9.02/1.86 % (3947746)Peak memory usage: 90 MB
% 9.02/1.86 % (3947746)Instructions burned: 265 (million)
% 9.02/1.86 % (3947741)Instruction limit reached!
% 9.02/1.86 % (3947741)------------------------------
% 9.02/1.86 % (3947741)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.02/1.86 % (3947741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.02/1.86 % (3947741)CaDiCaL version: 2.1.3
% 9.02/1.86 % (3947741)Termination reason: Instruction limit
% 9.02/1.86 % (3947741)Termination phase: Saturation
% 9.02/1.86 % (3947741)Time elapsed: 0.268 s
% 9.02/1.86 % (3947741)Peak memory usage: 104 MB
% 9.02/1.86 % (3947741)Instructions burned: 500 (million)
% 9.02/1.86 % (3947748)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=2251653967:cond=on:i=156:bs=on:gtg=exists_all:er=known_2987 on theBenchmark for (2987ds/156Mi)
% 9.02/1.86 % (3947749)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=4127129068:i=3256:kws=precedence:bd=preordered:av=off_2987 on theBenchmark for (2987ds/3256Mi)
% 9.02/1.86 % (3947748)Instruction limit reached!
% 9.02/1.86 % (3947748)------------------------------
% 9.02/1.86 % (3947748)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.02/1.86 % (3947748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.02/1.86 % (3947748)CaDiCaL version: 2.1.3
% 9.02/1.86 % (3947748)Termination reason: Instruction limit
% 9.02/1.86 % (3947748)Termination phase: Saturation
% 9.02/1.86 % (3947748)Time elapsed: 0.066 s
% 9.02/1.86 % (3947748)Peak memory usage: 88 MB
% 9.02/1.86 % (3947748)Instructions burned: 158 (million)
% 9.02/1.86 % (3947704)Refutation found. Thanks to Tanya!
% 9.02/1.86 % SZS status Unsatisfiable for theBenchmark
% 9.02/1.86 % SZS output start Proof for theBenchmark
% See solution above
% 10.70/2.06 % (3947704)------------------------------
% 10.70/2.06 % (3947704)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.70/2.06 % (3947704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.70/2.06 % (3947704)CaDiCaL version: 2.1.3
% 10.70/2.06 % (3947704)Termination reason: Refutation
% 10.70/2.06 % (3947704)Time elapsed: 1.064 s
% 10.70/2.06 % (3947704)Peak memory usage: 134 MB
% 10.70/2.06 % (3947704)Instructions burned: 1584 (million)
% 10.70/2.06 % (3947704)------------------------------
% 10.70/2.06 % (3947704)------------------------------
% 10.70/2.06 % (3947699)Success in time 1.457 s
% 10.70/2.06 % Vampire exiting
%------------------------------------------------------------------------------