%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KLE027+4 : TPTP v9.3.1. Released v4.0.0.
% 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 11:40:41 AM UTC 2026
% Result : Theorem 56.59s 9.81s
% Output : Refutation 56.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 28
% Syntax : Number of formulae : 206 ( 42 unt; 12 def)
% Number of atoms : 506 ( 135 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 558 ( 258 ~; 266 |; 11 &)
% ( 17 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 17 ( 15 usr; 13 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 129 ( 0 sgn 118 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_commutativity) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_identity) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_idempotence) ).
fof(f5,axiom,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_associativity) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_right_identity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_left_identity) ).
fof(f8,axiom,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',right_distributivity) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',left_distributivity) ).
fof(f11,axiom,
! [X0] : multiplication(zero,X0) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',left_annihilation) ).
fof(f12,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',order) ).
fof(f13,axiom,
! [X0] :
( test(X0)
<=> ? [X1] : complement(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_1) ).
fof(f14,axiom,
! [X0,X1] :
( complement(X1,X0)
<=> ( multiplication(X0,X1) = zero
& multiplication(X1,X0) = zero
& addition(X0,X1) = one ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_2) ).
fof(f15,axiom,
! [X0,X1] :
( test(X0)
=> ( c(X0) = X1
<=> complement(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_3) ).
fof(f16,axiom,
! [X0] :
( ~ test(X0)
=> c(X0) = zero ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_4) ).
fof(f18,axiom,
! [X0,X1] :
( ( test(X0)
& test(X1) )
=> c(multiplication(X0,X1)) = addition(c(X0),c(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+2.ax',test_deMorgan2) ).
fof(f19,conjecture,
! [X0,X1,X2,X3,X4] :
( ( test(X3)
& test(X4) )
=> ( leq(addition(multiplication(X3,addition(multiplication(X3,X0),multiplication(c(X3),X1))),multiplication(c(X3),X2)),addition(multiplication(X3,X0),multiplication(c(X3),X2)))
& leq(addition(multiplication(X3,X0),multiplication(c(X3),X2)),addition(multiplication(X3,addition(multiplication(X3,X0),multiplication(c(X3),X1))),multiplication(c(X3),X2))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f20,negated_conjecture,
~ ! [X0,X1,X2,X3,X4] :
( ( test(X3)
& test(X4) )
=> ( leq(addition(multiplication(X3,addition(multiplication(X3,X0),multiplication(c(X3),X1))),multiplication(c(X3),X2)),addition(multiplication(X3,X0),multiplication(c(X3),X2)))
& leq(addition(multiplication(X3,X0),multiplication(c(X3),X2)),addition(multiplication(X3,addition(multiplication(X3,X0),multiplication(c(X3),X1))),multiplication(c(X3),X2))) ) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f21,plain,
! [X0,X1] :
( addition(X0,X1) = X1
=> leq(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f12]) ).
fof(f22,plain,
! [X0,X1] :
( leq(X0,X1)
| addition(X0,X1) != X1 ),
inference(ennf_transformation,[],[f21]) ).
fof(f23,plain,
! [X0,X1] :
( ( c(X0) = X1
<=> complement(X0,X1) )
| ~ test(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f24,plain,
! [X0] :
( c(X0) = zero
| test(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f27,plain,
! [X0,X1] :
( c(multiplication(X0,X1)) = addition(c(X0),c(X1))
| ~ test(X0)
| ~ test(X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f28,plain,
! [X0,X1] :
( c(multiplication(X0,X1)) = addition(c(X0),c(X1))
| ~ test(X0)
| ~ test(X1) ),
inference(flattening,[],[f27]) ).
fof(f29,plain,
? [X0,X1,X2,X3,X4] :
( ( ~ leq(addition(multiplication(X3,addition(multiplication(X3,X0),multiplication(c(X3),X1))),multiplication(c(X3),X2)),addition(multiplication(X3,X0),multiplication(c(X3),X2)))
| ~ leq(addition(multiplication(X3,X0),multiplication(c(X3),X2)),addition(multiplication(X3,addition(multiplication(X3,X0),multiplication(c(X3),X1))),multiplication(c(X3),X2))) )
& test(X3)
& test(X4) ),
inference(ennf_transformation,[],[f20]) ).
fof(f30,plain,
? [X0,X1,X2,X3,X4] :
( ( ~ leq(addition(multiplication(X3,addition(multiplication(X3,X0),multiplication(c(X3),X1))),multiplication(c(X3),X2)),addition(multiplication(X3,X0),multiplication(c(X3),X2)))
| ~ leq(addition(multiplication(X3,X0),multiplication(c(X3),X2)),addition(multiplication(X3,addition(multiplication(X3,X0),multiplication(c(X3),X1))),multiplication(c(X3),X2))) )
& test(X3)
& test(X4) ),
inference(flattening,[],[f29]) ).
fof(f31,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f33,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f34,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f35,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f36,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f37,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f38,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f39,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f41,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f42,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f43,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| test(X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f44,plain,
! [X0] :
( complement(sK0(X0),X0)
| ~ test(X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f45,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(cnf_transformation,[],[f14]) ).
fof(f46,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X1,X0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f47,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X0,X1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f48,plain,
! [X0,X1] :
( zero != multiplication(X1,X0)
| addition(X0,X1) != one
| zero != multiplication(X0,X1)
| complement(X1,X0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f49,plain,
! [X0,X1] :
( ~ complement(X0,X1)
| ~ test(X0)
| c(X0) = X1 ),
inference(cnf_transformation,[],[f23]) ).
fof(f50,plain,
! [X0,X1] :
( ~ test(X0)
| complement(X0,X1)
| c(X0) != X1 ),
inference(cnf_transformation,[],[f23]) ).
fof(f51,plain,
! [X0] :
( test(X0)
| zero = c(X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f53,plain,
! [X0,X1] :
( ~ test(X1)
| ~ test(X0)
| c(multiplication(X0,X1)) = addition(c(X0),c(X1)) ),
inference(cnf_transformation,[],[f28]) ).
fof(f54,plain,
( ~ leq(addition(multiplication(sK4,sK1),multiplication(c(sK4),sK3)),addition(multiplication(sK4,addition(multiplication(sK4,sK1),multiplication(c(sK4),sK2))),multiplication(c(sK4),sK3)))
| ~ leq(addition(multiplication(sK4,addition(multiplication(sK4,sK1),multiplication(c(sK4),sK2))),multiplication(c(sK4),sK3)),addition(multiplication(sK4,sK1),multiplication(c(sK4),sK3))) ),
inference(cnf_transformation,[],[f30]) ).
fof(f56,plain,
test(sK4),
inference(cnf_transformation,[],[f30]) ).
fof(f57,plain,
! [X0] :
( complement(X0,c(X0))
| ~ test(X0) ),
inference(equality_resolution,[],[f50]) ).
fof(f59,definition,
( spl6_1
<=> leq(addition(multiplication(sK4,addition(multiplication(sK4,sK1),multiplication(c(sK4),sK2))),multiplication(c(sK4),sK3)),addition(multiplication(sK4,sK1),multiplication(c(sK4),sK3))) ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
fof(f61,plain,
( ~ leq(addition(multiplication(sK4,addition(multiplication(sK4,sK1),multiplication(c(sK4),sK2))),multiplication(c(sK4),sK3)),addition(multiplication(sK4,sK1),multiplication(c(sK4),sK3)))
| spl6_1 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f63,definition,
( spl6_2
<=> leq(addition(multiplication(sK4,sK1),multiplication(c(sK4),sK3)),addition(multiplication(sK4,addition(multiplication(sK4,sK1),multiplication(c(sK4),sK2))),multiplication(c(sK4),sK3))) ),
introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).
fof(f65,plain,
( ~ leq(addition(multiplication(sK4,sK1),multiplication(c(sK4),sK3)),addition(multiplication(sK4,addition(multiplication(sK4,sK1),multiplication(c(sK4),sK2))),multiplication(c(sK4),sK3)))
| spl6_2 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f66,plain,
( ~ spl6_1
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f54,f63,f59]) ).
fof(f67,plain,
( ~ leq(addition(multiplication(c(sK4),sK3),multiplication(sK4,addition(multiplication(sK4,sK1),multiplication(c(sK4),sK2)))),addition(multiplication(sK4,sK1),multiplication(c(sK4),sK3)))
| spl6_1 ),
inference(forward_demodulation,[],[f61,f31]) ).
fof(f69,plain,
! [X0] :
( test(c(X0))
| ~ test(X0) ),
inference(resolution,[],[f57,f43]) ).
fof(f73,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f33,f31]) ).
fof(f79,plain,
! [X0] :
( X0 != X0
| leq(X0,X0) ),
inference(superposition,[],[f42,f34]) ).
fof(f84,plain,
! [X0] : leq(X0,X0),
inference(trivial_inequality_removal,[],[f79]) ).
fof(f85,plain,
! [X0] :
( ~ test(X0)
| one = addition(X0,sK0(X0)) ),
inference(resolution,[],[f45,f44]) ).
fof(f88,plain,
! [X0] :
( ~ test(X0)
| zero = multiplication(sK0(X0),X0) ),
inference(resolution,[],[f46,f44]) ).
fof(f90,plain,
! [X0] :
( ~ test(X0)
| zero = multiplication(X0,sK0(X0)) ),
inference(resolution,[],[f47,f44]) ).
fof(f104,plain,
one = addition(sK4,sK0(sK4)),
inference(resolution,[],[f85,f56]) ).
fof(f141,definition,
( spl6_6
<=> one = sK4 ),
introduced(definition,[new_symbols(definition,[spl6_6])],[avatar_definition]) ).
fof(f142,plain,
( one = sK4
| ~ spl6_6 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f143,plain,
( one != sK4
| spl6_6 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f274,plain,
! [X0] :
( ~ test(X0)
| c(multiplication(X0,sK4)) = addition(c(X0),c(sK4)) ),
inference(resolution,[],[f53,f56]) ).
fof(f342,definition,
( spl6_12
<=> zero = c(sK4) ),
introduced(definition,[new_symbols(definition,[spl6_12])],[avatar_definition]) ).
fof(f343,plain,
( zero = c(sK4)
| ~ spl6_12 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f344,plain,
( zero != c(sK4)
| spl6_12 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f411,plain,
addition(c(sK4),c(sK4)) = c(multiplication(sK4,sK4)),
inference(resolution,[],[f274,f56]) ).
fof(f414,plain,
c(sK4) = c(multiplication(sK4,sK4)),
inference(forward_demodulation,[],[f411,f34]) ).
fof(f415,plain,
( test(c(sK4))
| ~ test(multiplication(sK4,sK4)) ),
inference(superposition,[],[f69,f414]) ).
fof(f416,plain,
( complement(multiplication(sK4,sK4),c(sK4))
| ~ test(multiplication(sK4,sK4)) ),
inference(superposition,[],[f57,f414]) ).
fof(f418,definition,
( spl6_20
<=> test(multiplication(sK4,sK4)) ),
introduced(definition,[new_symbols(definition,[spl6_20])],[avatar_definition]) ).
fof(f420,plain,
( ~ test(multiplication(sK4,sK4))
| spl6_20 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f422,definition,
( spl6_21
<=> complement(multiplication(sK4,sK4),c(sK4)) ),
introduced(definition,[new_symbols(definition,[spl6_21])],[avatar_definition]) ).
fof(f424,plain,
( complement(multiplication(sK4,sK4),c(sK4))
| ~ spl6_21 ),
inference(avatar_component_clause,[],[f422]) ).
fof(f425,plain,
( ~ spl6_20
| spl6_21 ),
inference(avatar_split_clause,[],[f416,f422,f418]) ).
fof(f427,definition,
( spl6_22
<=> test(c(sK4)) ),
introduced(definition,[new_symbols(definition,[spl6_22])],[avatar_definition]) ).
fof(f429,plain,
( test(c(sK4))
| ~ spl6_22 ),
inference(avatar_component_clause,[],[f427]) ).
fof(f430,plain,
( ~ spl6_20
| spl6_22 ),
inference(avatar_split_clause,[],[f415,f427,f418]) ).
fof(f431,plain,
( zero = c(multiplication(sK4,sK4))
| spl6_20 ),
inference(resolution,[],[f420,f51]) ).
fof(f432,plain,
( zero = c(sK4)
| spl6_20 ),
inference(superposition,[],[f431,f414]) ).
fof(f438,plain,
( $false
| spl6_12
| spl6_20 ),
inference(forward_subsumption_resolution,[],[f432,f344]) ).
fof(f439,plain,
( spl6_12
| spl6_20 ),
inference(avatar_contradiction_clause,[],[f438]) ).
fof(f446,plain,
( complement(sK4,zero)
| ~ test(sK4)
| ~ spl6_12 ),
inference(superposition,[],[f57,f343]) ).
fof(f447,plain,
( complement(sK4,zero)
| ~ spl6_12 ),
inference(forward_subsumption_resolution,[],[f446,f56]) ).
fof(f487,plain,
( one = addition(zero,sK4)
| ~ spl6_12 ),
inference(resolution,[],[f447,f45]) ).
fof(f489,plain,
( one = sK4
| ~ spl6_12 ),
inference(forward_demodulation,[],[f487,f73]) ).
fof(f491,plain,
( $false
| spl6_6
| ~ spl6_12 ),
inference(forward_subsumption_resolution,[],[f489,f143]) ).
fof(f492,plain,
( spl6_6
| ~ spl6_12 ),
inference(avatar_contradiction_clause,[],[f491]) ).
fof(f493,plain,
( ! [X0] : multiplication(X0,sK4) = X0
| ~ spl6_6 ),
inference(superposition,[],[f36,f142]) ).
fof(f535,plain,
( ~ test(sK4)
| ~ spl6_6
| spl6_20 ),
inference(superposition,[],[f420,f493]) ).
fof(f536,plain,
( $false
| ~ spl6_6
| spl6_20 ),
inference(forward_subsumption_resolution,[],[f535,f56]) ).
fof(f537,plain,
( ~ spl6_6
| spl6_20 ),
inference(avatar_contradiction_clause,[],[f536]) ).
fof(f548,plain,
( one = addition(c(sK4),sK0(c(sK4)))
| ~ spl6_22 ),
inference(resolution,[],[f429,f85]) ).
fof(f601,plain,
( zero = multiplication(c(sK4),multiplication(sK4,sK4))
| ~ spl6_21 ),
inference(resolution,[],[f424,f47]) ).
fof(f602,plain,
( zero = multiplication(multiplication(sK4,sK4),c(sK4))
| ~ spl6_21 ),
inference(resolution,[],[f424,f46]) ).
fof(f603,plain,
( one = addition(c(sK4),multiplication(sK4,sK4))
| ~ spl6_21 ),
inference(resolution,[],[f424,f45]) ).
fof(f605,plain,
( zero = multiplication(sK4,multiplication(sK4,c(sK4)))
| ~ spl6_21 ),
inference(forward_demodulation,[],[f602,f35]) ).
fof(f635,plain,
( zero != zero
| one != addition(multiplication(sK4,sK4),c(sK4))
| zero != multiplication(multiplication(sK4,sK4),c(sK4))
| complement(c(sK4),multiplication(sK4,sK4))
| ~ spl6_21 ),
inference(superposition,[],[f48,f601]) ).
fof(f641,plain,
( one != addition(multiplication(sK4,sK4),c(sK4))
| zero != multiplication(multiplication(sK4,sK4),c(sK4))
| complement(c(sK4),multiplication(sK4,sK4))
| ~ spl6_21 ),
inference(trivial_inequality_removal,[],[f635]) ).
fof(f647,plain,
( one != addition(c(sK4),multiplication(sK4,sK4))
| zero != multiplication(multiplication(sK4,sK4),c(sK4))
| complement(c(sK4),multiplication(sK4,sK4))
| ~ spl6_21 ),
inference(forward_demodulation,[],[f641,f31]) ).
fof(f649,plain,
( zero != multiplication(multiplication(sK4,sK4),c(sK4))
| complement(c(sK4),multiplication(sK4,sK4))
| ~ spl6_21 ),
inference(forward_subsumption_resolution,[],[f647,f603]) ).
fof(f650,plain,
( zero != multiplication(sK4,multiplication(sK4,c(sK4)))
| complement(c(sK4),multiplication(sK4,sK4))
| ~ spl6_21 ),
inference(forward_demodulation,[],[f649,f35]) ).
fof(f651,plain,
( complement(c(sK4),multiplication(sK4,sK4))
| ~ spl6_21 ),
inference(forward_subsumption_resolution,[],[f650,f605]) ).
fof(f652,plain,
( ~ test(c(sK4))
| multiplication(sK4,sK4) = c(c(sK4))
| ~ spl6_21 ),
inference(resolution,[],[f651,f49]) ).
fof(f659,plain,
( multiplication(sK4,sK4) = c(c(sK4))
| ~ spl6_21
| ~ spl6_22 ),
inference(forward_subsumption_resolution,[],[f652,f429]) ).
fof(f5139,plain,
( zero = multiplication(sK0(c(sK4)),c(sK4))
| ~ spl6_22 ),
inference(resolution,[],[f88,f429]) ).
fof(f5141,plain,
zero = multiplication(sK0(sK4),sK4),
inference(resolution,[],[f88,f56]) ).
fof(f5165,definition,
( spl6_176
<=> zero = multiplication(c(sK4),sK0(c(sK4))) ),
introduced(definition,[new_symbols(definition,[spl6_176])],[avatar_definition]) ).
fof(f5166,plain,
( zero = multiplication(c(sK4),sK0(c(sK4)))
| ~ spl6_176 ),
inference(avatar_component_clause,[],[f5165]) ).
fof(f5167,plain,
( zero != multiplication(c(sK4),sK0(c(sK4)))
| spl6_176 ),
inference(avatar_component_clause,[],[f5165]) ).
fof(f5549,plain,
! [X0] : multiplication(zero,X0) = multiplication(sK0(sK4),multiplication(sK4,X0)),
inference(superposition,[],[f35,f5141]) ).
fof(f5554,plain,
( zero != zero
| one != addition(sK4,sK0(sK4))
| zero != multiplication(sK4,sK0(sK4))
| complement(sK0(sK4),sK4) ),
inference(superposition,[],[f48,f5141]) ).
fof(f5556,plain,
( one != addition(sK4,sK0(sK4))
| zero != multiplication(sK4,sK0(sK4))
| complement(sK0(sK4),sK4) ),
inference(trivial_inequality_removal,[],[f5554]) ).
fof(f5557,plain,
( zero != multiplication(sK4,sK0(sK4))
| complement(sK0(sK4),sK4) ),
inference(forward_subsumption_resolution,[],[f5556,f104]) ).
fof(f5562,plain,
! [X0] : zero = multiplication(sK0(sK4),multiplication(sK4,X0)),
inference(forward_demodulation,[],[f5549,f41]) ).
fof(f5564,definition,
( spl6_183
<=> complement(sK0(sK4),sK4) ),
introduced(definition,[new_symbols(definition,[spl6_183])],[avatar_definition]) ).
fof(f5566,plain,
( complement(sK0(sK4),sK4)
| ~ spl6_183 ),
inference(avatar_component_clause,[],[f5564]) ).
fof(f5568,definition,
( spl6_184
<=> zero = multiplication(sK4,sK0(sK4)) ),
introduced(definition,[new_symbols(definition,[spl6_184])],[avatar_definition]) ).
fof(f5569,plain,
( zero = multiplication(sK4,sK0(sK4))
| ~ spl6_184 ),
inference(avatar_component_clause,[],[f5568]) ).
fof(f5570,plain,
( zero != multiplication(sK4,sK0(sK4))
| spl6_184 ),
inference(avatar_component_clause,[],[f5568]) ).
fof(f5571,plain,
( spl6_183
| ~ spl6_184 ),
inference(avatar_split_clause,[],[f5557,f5568,f5564]) ).
fof(f6343,plain,
( zero = multiplication(c(sK4),sK0(c(sK4)))
| ~ spl6_22 ),
inference(resolution,[],[f90,f429]) ).
fof(f6345,plain,
zero = multiplication(sK4,sK0(sK4)),
inference(resolution,[],[f90,f56]) ).
fof(f6349,plain,
( $false
| spl6_184 ),
inference(forward_subsumption_resolution,[],[f6345,f5570]) ).
fof(f6350,plain,
spl6_184,
inference(avatar_contradiction_clause,[],[f6349]) ).
fof(f6353,plain,
( $false
| ~ spl6_22
| spl6_176 ),
inference(forward_subsumption_resolution,[],[f6343,f5167]) ).
fof(f6354,plain,
( ~ spl6_22
| spl6_176 ),
inference(avatar_contradiction_clause,[],[f6353]) ).
fof(f6364,plain,
( ~ test(sK0(sK4))
| sK4 = c(sK0(sK4))
| ~ spl6_183 ),
inference(resolution,[],[f5566,f49]) ).
fof(f6370,definition,
( spl6_195
<=> sK4 = c(sK0(sK4)) ),
introduced(definition,[new_symbols(definition,[spl6_195])],[avatar_definition]) ).
fof(f6372,plain,
( sK4 = c(sK0(sK4))
| ~ spl6_195 ),
inference(avatar_component_clause,[],[f6370]) ).
fof(f6374,definition,
( spl6_196
<=> test(sK0(sK4)) ),
introduced(definition,[new_symbols(definition,[spl6_196])],[avatar_definition]) ).
fof(f6376,plain,
( ~ test(sK0(sK4))
| spl6_196 ),
inference(avatar_component_clause,[],[f6374]) ).
fof(f6377,plain,
( spl6_195
| ~ spl6_196
| ~ spl6_183 ),
inference(avatar_split_clause,[],[f6364,f5564,f6374,f6370]) ).
fof(f6394,plain,
( ! [X0] : multiplication(zero,X0) = multiplication(sK4,multiplication(sK0(sK4),X0))
| ~ spl6_184 ),
inference(superposition,[],[f35,f5569]) ).
fof(f6399,plain,
( zero != zero
| one != addition(sK0(sK4),sK4)
| zero != multiplication(sK0(sK4),sK4)
| complement(sK4,sK0(sK4))
| ~ spl6_184 ),
inference(superposition,[],[f48,f5569]) ).
fof(f6402,plain,
( one != addition(sK0(sK4),sK4)
| zero != multiplication(sK0(sK4),sK4)
| complement(sK4,sK0(sK4))
| ~ spl6_184 ),
inference(trivial_inequality_removal,[],[f6399]) ).
fof(f6404,plain,
( one != addition(sK0(sK4),sK4)
| complement(sK4,sK0(sK4))
| ~ spl6_184 ),
inference(forward_subsumption_resolution,[],[f6402,f5141]) ).
fof(f6409,plain,
( ! [X0] : zero = multiplication(sK4,multiplication(sK0(sK4),X0))
| ~ spl6_184 ),
inference(forward_demodulation,[],[f6394,f41]) ).
fof(f6411,plain,
( one != addition(sK4,sK0(sK4))
| complement(sK4,sK0(sK4))
| ~ spl6_184 ),
inference(forward_demodulation,[],[f6404,f31]) ).
fof(f6412,plain,
( complement(sK4,sK0(sK4))
| ~ spl6_184 ),
inference(forward_subsumption_resolution,[],[f6411,f104]) ).
fof(f6413,plain,
( ~ test(sK4)
| c(sK4) = sK0(sK4)
| ~ spl6_184 ),
inference(resolution,[],[f6412,f49]) ).
fof(f6417,plain,
( test(sK0(sK4))
| ~ spl6_184 ),
inference(resolution,[],[f6412,f43]) ).
fof(f6418,plain,
( $false
| ~ spl6_184
| spl6_196 ),
inference(forward_subsumption_resolution,[],[f6417,f6376]) ).
fof(f6419,plain,
( ~ spl6_184
| spl6_196 ),
inference(avatar_contradiction_clause,[],[f6418]) ).
fof(f6421,plain,
( c(sK4) = sK0(sK4)
| ~ spl6_184 ),
inference(forward_subsumption_resolution,[],[f6413,f56]) ).
fof(f6422,plain,
( sK4 = c(c(sK4))
| ~ spl6_184
| ~ spl6_195 ),
inference(forward_demodulation,[],[f6372,f6421]) ).
fof(f6463,plain,
( sK4 = multiplication(sK4,sK4)
| ~ spl6_21
| ~ spl6_22
| ~ spl6_184
| ~ spl6_195 ),
inference(superposition,[],[f659,f6422]) ).
fof(f6528,plain,
( ! [X0,X1] : addition(multiplication(sK4,X0),zero) = multiplication(sK4,addition(X0,multiplication(sK0(sK4),X1)))
| ~ spl6_184 ),
inference(superposition,[],[f38,f6409]) ).
fof(f6539,plain,
( ! [X0,X1] : addition(multiplication(sK4,X0),zero) = multiplication(sK4,addition(X0,multiplication(c(sK4),X1)))
| ~ spl6_184 ),
inference(forward_demodulation,[],[f6528,f6421]) ).
fof(f6546,plain,
( ! [X0,X1] : multiplication(sK4,X0) = multiplication(sK4,addition(X0,multiplication(c(sK4),X1)))
| ~ spl6_184 ),
inference(forward_demodulation,[],[f6539,f33]) ).
fof(f6606,plain,
! [X0,X1] : multiplication(addition(sK0(sK4),X0),multiplication(sK4,X1)) = addition(zero,multiplication(X0,multiplication(sK4,X1))),
inference(superposition,[],[f39,f5562]) ).
fof(f6613,plain,
! [X0,X1] : multiplication(X0,multiplication(sK4,X1)) = multiplication(addition(sK0(sK4),X0),multiplication(sK4,X1)),
inference(forward_demodulation,[],[f6606,f73]) ).
fof(f6620,plain,
( ! [X0,X1] : multiplication(X0,multiplication(sK4,X1)) = multiplication(addition(c(sK4),X0),multiplication(sK4,X1))
| ~ spl6_184 ),
inference(forward_demodulation,[],[f6613,f6421]) ).
fof(f7165,plain,
( ! [X0] : multiplication(sK4,X0) = multiplication(sK4,multiplication(sK4,X0))
| ~ spl6_21
| ~ spl6_22
| ~ spl6_184
| ~ spl6_195 ),
inference(superposition,[],[f35,f6463]) ).
fof(f7314,plain,
( ! [X0] : multiplication(sK0(c(sK4)),multiplication(sK4,X0)) = multiplication(one,multiplication(sK4,X0))
| ~ spl6_22
| ~ spl6_184 ),
inference(superposition,[],[f6620,f548]) ).
fof(f7362,plain,
( ! [X0] : multiplication(sK4,X0) = multiplication(sK0(c(sK4)),multiplication(sK4,X0))
| ~ spl6_22
| ~ spl6_184 ),
inference(forward_demodulation,[],[f7314,f37]) ).
fof(f8777,plain,
( zero != zero
| one != addition(sK0(c(sK4)),c(sK4))
| zero != multiplication(sK0(c(sK4)),c(sK4))
| complement(c(sK4),sK0(c(sK4)))
| ~ spl6_176 ),
inference(superposition,[],[f48,f5166]) ).
fof(f8780,plain,
( one != addition(sK0(c(sK4)),c(sK4))
| zero != multiplication(sK0(c(sK4)),c(sK4))
| complement(c(sK4),sK0(c(sK4)))
| ~ spl6_176 ),
inference(trivial_inequality_removal,[],[f8777]) ).
fof(f8782,plain,
( one != addition(sK0(c(sK4)),c(sK4))
| complement(c(sK4),sK0(c(sK4)))
| ~ spl6_22
| ~ spl6_176 ),
inference(forward_subsumption_resolution,[],[f8780,f5139]) ).
fof(f8789,plain,
( one != addition(c(sK4),sK0(c(sK4)))
| complement(c(sK4),sK0(c(sK4)))
| ~ spl6_22
| ~ spl6_176 ),
inference(forward_demodulation,[],[f8782,f31]) ).
fof(f8790,plain,
( complement(c(sK4),sK0(c(sK4)))
| ~ spl6_22
| ~ spl6_176 ),
inference(forward_subsumption_resolution,[],[f8789,f548]) ).
fof(f8791,plain,
( ~ test(c(sK4))
| c(c(sK4)) = sK0(c(sK4))
| ~ spl6_22
| ~ spl6_176 ),
inference(resolution,[],[f8790,f49]) ).
fof(f8799,plain,
( c(c(sK4)) = sK0(c(sK4))
| ~ spl6_22
| ~ spl6_176 ),
inference(forward_subsumption_resolution,[],[f8791,f429]) ).
fof(f8800,plain,
( multiplication(sK4,sK4) = sK0(c(sK4))
| ~ spl6_21
| ~ spl6_22
| ~ spl6_176 ),
inference(forward_demodulation,[],[f8799,f659]) ).
fof(f8801,plain,
( sK4 = sK0(c(sK4))
| ~ spl6_21
| ~ spl6_22
| ~ spl6_176
| ~ spl6_184
| ~ spl6_195 ),
inference(forward_demodulation,[],[f8800,f6463]) ).
fof(f14646,plain,
( ! [X0,X1] : multiplication(sK0(c(sK4)),addition(multiplication(sK4,X0),X1)) = addition(multiplication(sK4,X0),multiplication(sK0(c(sK4)),X1))
| ~ spl6_22
| ~ spl6_184 ),
inference(superposition,[],[f38,f7362]) ).
fof(f14659,plain,
( ! [X0,X1] : addition(multiplication(sK4,X0),multiplication(sK4,X1)) = multiplication(sK4,addition(multiplication(sK4,X0),X1))
| ~ spl6_21
| ~ spl6_22
| ~ spl6_176
| ~ spl6_184
| ~ spl6_195 ),
inference(forward_demodulation,[],[f14646,f8801]) ).
fof(f14670,plain,
( ! [X0,X1] : multiplication(sK4,addition(X0,X1)) = multiplication(sK4,addition(multiplication(sK4,X0),X1))
| ~ spl6_21
| ~ spl6_22
| ~ spl6_176
| ~ spl6_184
| ~ spl6_195 ),
inference(forward_demodulation,[],[f14659,f38]) ).
fof(f22812,plain,
( ~ leq(addition(multiplication(c(sK4),sK3),multiplication(sK4,multiplication(sK4,sK1))),addition(multiplication(sK4,sK1),multiplication(c(sK4),sK3)))
| spl6_1
| ~ spl6_184 ),
inference(superposition,[],[f67,f6546]) ).
fof(f22843,plain,
( ~ leq(addition(multiplication(c(sK4),sK3),multiplication(sK4,sK1)),addition(multiplication(sK4,sK1),multiplication(c(sK4),sK3)))
| spl6_1
| ~ spl6_21
| ~ spl6_22
| ~ spl6_184
| ~ spl6_195 ),
inference(forward_demodulation,[],[f22812,f7165]) ).
fof(f22859,plain,
( ~ leq(addition(multiplication(sK4,sK1),multiplication(c(sK4),sK3)),addition(multiplication(sK4,sK1),multiplication(c(sK4),sK3)))
| spl6_1
| ~ spl6_21
| ~ spl6_22
| ~ spl6_184
| ~ spl6_195 ),
inference(forward_demodulation,[],[f22843,f31]) ).
fof(f22864,plain,
( $false
| spl6_1
| ~ spl6_21
| ~ spl6_22
| ~ spl6_184
| ~ spl6_195 ),
inference(forward_subsumption_resolution,[],[f22859,f84]) ).
fof(f22865,plain,
( spl6_1
| ~ spl6_21
| ~ spl6_22
| ~ spl6_184
| ~ spl6_195 ),
inference(avatar_contradiction_clause,[],[f22864]) ).
fof(f22868,plain,
( ~ leq(addition(multiplication(sK4,sK1),multiplication(c(sK4),sK3)),addition(multiplication(c(sK4),sK3),multiplication(sK4,addition(multiplication(sK4,sK1),multiplication(c(sK4),sK2)))))
| spl6_2 ),
inference(forward_demodulation,[],[f65,f31]) ).
fof(f22870,plain,
( ~ leq(addition(multiplication(sK4,sK1),multiplication(c(sK4),sK3)),addition(multiplication(c(sK4),sK3),multiplication(sK4,addition(sK1,multiplication(c(sK4),sK2)))))
| spl6_2
| ~ spl6_21
| ~ spl6_22
| ~ spl6_176
| ~ spl6_184
| ~ spl6_195 ),
inference(forward_demodulation,[],[f22868,f14670]) ).
fof(f22872,plain,
( ~ leq(addition(multiplication(sK4,sK1),multiplication(c(sK4),sK3)),addition(multiplication(c(sK4),sK3),multiplication(sK4,sK1)))
| spl6_2
| ~ spl6_21
| ~ spl6_22
| ~ spl6_176
| ~ spl6_184
| ~ spl6_195 ),
inference(forward_demodulation,[],[f22870,f6546]) ).
fof(f22874,plain,
( ~ leq(addition(multiplication(sK4,sK1),multiplication(c(sK4),sK3)),addition(multiplication(sK4,sK1),multiplication(c(sK4),sK3)))
| spl6_2
| ~ spl6_21
| ~ spl6_22
| ~ spl6_176
| ~ spl6_184
| ~ spl6_195 ),
inference(forward_demodulation,[],[f22872,f31]) ).
fof(f22875,plain,
( $false
| spl6_2
| ~ spl6_21
| ~ spl6_22
| ~ spl6_176
| ~ spl6_184
| ~ spl6_195 ),
inference(forward_subsumption_resolution,[],[f22874,f84]) ).
fof(f22876,plain,
( spl6_2
| ~ spl6_21
| ~ spl6_22
| ~ spl6_176
| ~ spl6_184
| ~ spl6_195 ),
inference(avatar_contradiction_clause,[],[f22875]) ).
cnf(s1,plain,
( ~ spl6_1
| ~ spl6_2 ),
inference(sat_conversion,[],[f66]) ).
cnf(s9,plain,
( ~ spl6_20
| spl6_21 ),
inference(sat_conversion,[],[f425]) ).
cnf(s10,plain,
( ~ spl6_20
| spl6_22 ),
inference(sat_conversion,[],[f430]) ).
cnf(s12,plain,
( spl6_12
| spl6_20 ),
inference(sat_conversion,[],[f439]) ).
cnf(s15,plain,
( spl6_6
| ~ spl6_12 ),
inference(sat_conversion,[],[f492]) ).
cnf(s17,plain,
( ~ spl6_6
| spl6_20 ),
inference(sat_conversion,[],[f537]) ).
cnf(s214,plain,
( spl6_183
| ~ spl6_184 ),
inference(sat_conversion,[],[f5571]) ).
cnf(s221,plain,
spl6_184,
inference(sat_conversion,[],[f6350]) ).
cnf(s223,plain,
( ~ spl6_22
| spl6_176 ),
inference(sat_conversion,[],[f6354]) ).
cnf(s226,plain,
( ~ spl6_183
| spl6_195
| ~ spl6_196 ),
inference(sat_conversion,[],[f6377]) ).
cnf(s228,plain,
( ~ spl6_184
| spl6_196 ),
inference(sat_conversion,[],[f6419]) ).
cnf(s321,plain,
( spl6_1
| ~ spl6_21
| ~ spl6_22
| ~ spl6_184
| ~ spl6_195 ),
inference(sat_conversion,[],[f22865]) ).
cnf(s322,plain,
( spl6_2
| ~ spl6_21
| ~ spl6_22
| ~ spl6_176
| ~ spl6_184
| ~ spl6_195 ),
inference(sat_conversion,[],[f22876]) ).
cnf(s323,plain,
spl6_196,
inference(rat,[],[s228,s221]) ).
cnf(s327,plain,
spl6_183,
inference(rat,[],[s214,s221]) ).
cnf(s328,plain,
spl6_195,
inference(rat,[],[s226,s323,s327]) ).
cnf(s332,plain,
( ~ spl6_20
| spl6_2 ),
inference(rat,[],[s322,s223,s9,s10,s221,s328]) ).
cnf(s333,plain,
spl6_20,
inference(rat,[],[s15,s12,s17]) ).
cnf(s336,plain,
spl6_22,
inference(rat,[],[s10,s333]) ).
cnf(s337,plain,
spl6_21,
inference(rat,[],[s9,s333]) ).
cnf(s338,plain,
spl6_2,
inference(rat,[],[s332,s333]) ).
cnf(s341,plain,
spl6_1,
inference(rat,[],[s321,s328,s221,s337,s336]) ).
cnf(s344,plain,
$false,
inference(rat,[],[s1,s338,s341]) ).
fof(f22877,plain,
$false,
inference(avatar_sat_refutation,[],[s344]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : KLE027+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.18/0.45 % Computer : n009.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Sun Sep 27 13:04:30 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.23/0.51 Running first-order model finding
% 0.23/0.51 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
% 28.44/4.60 % (2017568)Will run a generic schedule for satisfiability detection.
% 28.44/4.60 % (2017573)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=685763462_2999 on theBenchmark for (2999ds/0Mi)
% 28.44/4.60 % TRYING [1]
% 28.44/4.60 % TRYING [2]
% 28.44/4.60 % TRYING [3]
% 28.44/4.60 % (2017574)% WARNING: option uhcvi not known.
% 28.44/4.60 % TRYING [4]
% 28.44/4.60 % (2017574)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4131825806:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 28.44/4.60 % (2017575)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1186844767:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 28.44/4.60 % (2017576)dis+10_1_sil=32000:sp=arity:random_seed=220426170:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 28.44/4.60 % (2017577)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2605339250:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 28.44/4.60 % (2017578)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1176753550:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 28.44/4.60 % (2017579)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3998845994:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 28.44/4.60 % TRYING [5]
% 28.44/4.60 % TRYING [6]
% 28.44/4.60 % (2017576)Instruction limit reached!
% 28.44/4.60 % (2017576)------------------------------
% 28.44/4.60 % (2017576)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.44/4.60 % (2017576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.44/4.60 % (2017576)CaDiCaL version: 2.1.3
% 28.44/4.60 % (2017576)Termination reason: Instruction limit
% 28.44/4.60 % (2017576)Termination phase: Saturation
% 28.44/4.60 % (2017576)Time elapsed: 0.108 s
% 28.44/4.60 % (2017576)Peak memory usage: 13 MB
% 28.44/4.60 % (2017576)Instructions burned: 103 (million)
% 28.44/4.60 % (2017577)Instruction limit reached!
% 28.44/4.60 % (2017577)------------------------------
% 28.44/4.60 % (2017577)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.44/4.60 % (2017577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.44/4.60 % (2017577)CaDiCaL version: 2.1.3
% 28.44/4.60 % (2017577)Termination reason: Instruction limit
% 28.44/4.60 % (2017577)Termination phase: Saturation
% 28.44/4.60 % (2017577)Time elapsed: 0.117 s
% 28.44/4.60 % (2017577)Peak memory usage: 13 MB
% 28.44/4.60 % (2017577)Instructions burned: 117 (million)
% 28.44/4.60 % (2017578)Instruction limit reached!
% 28.44/4.60 % (2017578)------------------------------
% 28.44/4.60 % (2017578)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.44/4.60 % (2017578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.44/4.60 % (2017578)CaDiCaL version: 2.1.3
% 28.44/4.60 % (2017578)Termination reason: Instruction limit
% 28.44/4.60 % (2017578)Termination phase: Saturation
% 28.44/4.60 % (2017578)Time elapsed: 0.123 s
% 28.44/4.60 % (2017578)Peak memory usage: 13 MB
% 28.44/4.60 % (2017578)Instructions burned: 131 (million)
% 28.44/4.60 % (2017587)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3858426844:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 28.44/4.60 % (2017588)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3025920507:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 28.44/4.60 % TRYING [1]
% 28.44/4.60 % TRYING [2]
% 28.44/4.60 % TRYING [3]
% 28.44/4.60 % TRYING [4]
% 28.44/4.60 % (2017589)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=2591951928:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 28.44/4.60 % (2017579)Instruction limit reached!
% 28.44/4.60 % (2017579)------------------------------
% 28.44/4.60 % (2017579)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.44/4.60 % (2017579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.44/4.60 % (2017579)CaDiCaL version: 2.1.3
% 28.44/4.60 % (2017579)Termination reason: Instruction limit
% 28.44/4.60 % (2017579)Termination phase: Saturation
% 28.44/4.60 % (2017579)Time elapsed: 0.175 s
% 28.44/4.60 % (2017579)Peak memory usage: 13 MB
% 28.44/4.60 % (2017579)Instructions burned: 159 (million)
% 28.44/4.60 % TRYING [5]
% 28.44/4.60 % (2017593)ott-21_1_sil=16000:fs=off:random_seed=3054316272:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 28.44/4.60 % (2017588)Instruction limit reached!
% 28.44/4.60 % (2017588)------------------------------
% 28.44/4.60 % (2017588)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.59/9.81 % (2017588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.59/9.81 % (2017588)CaDiCaL version: 2.1.3
% 56.59/9.81 % (2017588)Termination reason: Instruction limit
% 56.59/9.81 % (2017588)Termination phase: Saturation
% 56.59/9.81 % (2017588)Time elapsed: 0.139 s
% 56.59/9.81 % (2017588)Peak memory usage: 13 MB
% 56.59/9.81 % (2017588)Instructions burned: 131 (million)
% 56.59/9.81 % TRYING [7]
% 56.59/9.81 % (2017595)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1246315931:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 56.59/9.81 % TRYING [6]
% 56.59/9.81 % (2017593)Instruction limit reached!
% 56.59/9.81 % (2017593)------------------------------
% 56.59/9.81 % (2017593)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.59/9.81 % (2017593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.59/9.81 % (2017593)CaDiCaL version: 2.1.3
% 56.59/9.81 % (2017593)Termination reason: Instruction limit
% 56.59/9.81 % (2017593)Termination phase: Saturation
% 56.59/9.81 % (2017593)Time elapsed: 0.149 s
% 56.59/9.81 % (2017593)Peak memory usage: 12 MB
% 56.59/9.81 % (2017593)Instructions burned: 180 (million)
% 56.59/9.81 % (2017597)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1802976870:fmbsr=1.3:i=865:ins=25_2995 on theBenchmark for (2995ds/865Mi)
% 56.59/9.81 % TRYING [1]
% 56.59/9.81 % TRYING [2]
% 56.59/9.81 % TRYING [3]
% 56.59/9.81 % TRYING [4]
% 56.59/9.81 % TRYING [5]
% 56.59/9.81 % TRYING [6]
% 56.59/9.81 % (2017587)Instruction limit reached!
% 56.59/9.81 % (2017587)------------------------------
% 56.59/9.81 % (2017587)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.59/9.81 % (2017587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.59/9.81 % (2017587)CaDiCaL version: 2.1.3
% 56.59/9.81 % (2017587)Termination reason: Instruction limit
% 56.59/9.81 % (2017587)Termination phase: Finite model building SAT solving
% 56.59/9.81 % (2017587)Time elapsed: 0.597 s
% 56.59/9.81 % (2017587)Peak memory usage: 31 MB
% 56.59/9.81 % (2017587)Instructions burned: 715 (million)
% 56.59/9.81 % (2017599)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2396315255:i=1179_2992 on theBenchmark for (2992ds/1179Mi)
% 56.59/9.81 % (2017595)Instruction limit reached!
% 56.59/9.81 % (2017595)------------------------------
% 56.59/9.81 % (2017595)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.59/9.81 % (2017595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.59/9.81 % (2017595)CaDiCaL version: 2.1.3
% 56.59/9.81 % (2017595)Termination reason: Instruction limit
% 56.59/9.81 % (2017595)Termination phase: Saturation
% 56.59/9.81 % (2017595)Time elapsed: 0.476 s
% 56.59/9.81 % (2017595)Peak memory usage: 15 MB
% 56.59/9.81 % (2017595)Instructions burned: 478 (million)
% 56.59/9.81 % (2017589)Instruction limit reached!
% 56.59/9.81 % (2017589)------------------------------
% 56.59/9.81 % (2017589)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.59/9.81 % (2017589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.59/9.81 % (2017589)CaDiCaL version: 2.1.3
% 56.59/9.81 % (2017589)Termination reason: Instruction limit
% 56.59/9.81 % (2017589)Termination phase: Saturation
% 56.59/9.81 % (2017589)Time elapsed: 0.639 s
% 56.59/9.81 % (2017589)Peak memory usage: 18 MB
% 56.59/9.81 % (2017589)Instructions burned: 684 (million)
% 56.59/9.81 % (2017601)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=802267964:i=889:ins=1_2991 on theBenchmark for (2991ds/889Mi)
% 56.59/9.81 % (2017602)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=4088418186:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2991 on theBenchmark for (2991ds/692Mi)
% 56.59/9.81 % (2017597)Instruction limit reached!
% 56.59/9.81 % (2017597)------------------------------
% 56.59/9.81 % (2017597)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.59/9.81 % (2017597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.59/9.81 % (2017597)CaDiCaL version: 2.1.3
% 56.59/9.81 % (2017597)Termination reason: Instruction limit
% 56.59/9.81 % (2017597)Termination phase: Finite model building SAT solving
% 56.59/9.81 % (2017597)Time elapsed: 0.633 s
% 56.59/9.81 % (2017597)Peak memory usage: 25 MB
% 56.59/9.81 % (2017597)Instructions burned: 866 (million)
% 56.59/9.81 % (2017605)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2406760995:i=879:kws=inv_precedence:fsr=off_2989 on theBenchmark for (2989ds/879Mi)
% 56.59/9.81 % TRYING [14]
% 56.59/9.81 % TRYING [8]
% 56.59/9.81 % (2017602)Instruction limit reached!
% 56.59/9.81 % (2017602)------------------------------
% 56.59/9.81 % (2017602)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.59/9.81 % (2017602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.59/9.81 % (2017602)CaDiCaL version: 2.1.3
% 56.59/9.81 % (2017602)Termination reason: Instruction limit
% 56.59/9.81 % (2017602)Termination phase: Saturation
% 56.59/9.81 % (2017602)Time elapsed: 0.611 s
% 56.59/9.81 % (2017602)Peak memory usage: 20 MB
% 56.59/9.81 % (2017602)Instructions burned: 693 (million)
% 56.59/9.81 % (2017609)fmb+10_1_sil=64000:random_seed=3781694241:i=22061:nm=2:gsp=on_2984 on theBenchmark for (2984ds/22061Mi)
% 56.59/9.81 % TRYING [1]
% 56.59/9.81 % TRYING [2]
% 56.59/9.81 % TRYING [3]
% 56.59/9.81 % (2017601)Instruction limit reached!
% 56.59/9.81 % (2017601)------------------------------
% 56.59/9.81 % (2017601)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.59/9.81 % (2017601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.59/9.81 % (2017601)CaDiCaL version: 2.1.3
% 56.59/9.81 % (2017601)Termination reason: Instruction limit
% 56.59/9.81 % (2017601)Termination phase: Finite model building constraint generation
% 56.59/9.81 % (2017601)Time elapsed: 0.691 s
% 56.59/9.81 % (2017601)Peak memory usage: 80 MB
% 56.59/9.81 % (2017601)Instructions burned: 889 (million)
% 56.59/9.81 % TRYING [4]
% 56.59/9.81 % (2017611)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=693154315:i=9515:nm=5_2984 on theBenchmark for (2984ds/9515Mi)
% 56.59/9.81 % TRYING [20]
% 56.59/9.81 % TRYING [5]
% 56.59/9.81 % (2017599)Instruction limit reached!
% 56.59/9.81 % (2017599)------------------------------
% 56.59/9.81 % (2017599)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.59/9.81 % (2017599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.59/9.81 % (2017599)CaDiCaL version: 2.1.3
% 56.59/9.81 % (2017599)Termination reason: Instruction limit
% 56.59/9.81 % (2017599)Termination phase: Saturation
% 56.59/9.81 % (2017599)Time elapsed: 0.982 s
% 56.59/9.81 % (2017599)Peak memory usage: 20 MB
% 56.59/9.81 % (2017599)Instructions burned: 1179 (million)
% 56.59/9.81 % (2017613)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2748332475:fmbsr=1.7:i=920_2982 on theBenchmark for (2982ds/920Mi)
% 56.59/9.81 % TRYING [8]
% 56.59/9.81 % TRYING [6]
% 56.59/9.81 % (2017605)Instruction limit reached!
% 56.59/9.81 % (2017605)------------------------------
% 56.59/9.81 % (2017605)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.59/9.81 % (2017605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.59/9.81 % (2017605)CaDiCaL version: 2.1.3
% 56.59/9.81 % (2017605)Termination reason: Instruction limit
% 56.59/9.81 % (2017605)Termination phase: Saturation
% 56.59/9.81 % (2017605)Time elapsed: 0.854 s
% 56.59/9.81 % (2017605)Peak memory usage: 19 MB
% 56.59/9.81 % (2017605)Instructions burned: 880 (million)
% 56.59/9.81 % (2017617)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=172132079:i=5131_2980 on theBenchmark for (2980ds/5131Mi)
% 56.59/9.81 % TRYING [7]
% 56.59/9.81 % (2017613)Instruction limit reached!
% 56.59/9.81 % (2017613)------------------------------
% 56.59/9.81 % (2017613)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.59/9.81 % (2017613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.59/9.81 % (2017613)CaDiCaL version: 2.1.3
% 56.59/9.81 % (2017613)Termination reason: Instruction limit
% 56.59/9.81 % (2017613)Termination phase: Finite model building constraint generation
% 56.59/9.81 % (2017613)Time elapsed: 0.656 s
% 56.59/9.81 % (2017613)Peak memory usage: 66 MB
% 56.59/9.81 % (2017613)Instructions burned: 921 (million)
% 56.59/9.81 % (2017619)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3466964295:i=1472:ins=7:fdi=8:gsp=on_2975 on theBenchmark for (2975ds/1472Mi)
% 56.59/9.81 % (2017619)Instruction limit reached!
% 56.59/9.81 % (2017619)------------------------------
% 56.59/9.81 % (2017619)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.59/9.81 % (2017619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.59/9.81 % (2017619)CaDiCaL version: 2.1.3
% 56.59/9.81 % (2017619)Termination reason: Instruction limit
% 56.59/9.81 % (2017619)Termination phase: Saturation
% 56.59/9.81 % (2017619)Time elapsed: 1.492 s
% 56.59/9.81 % (2017619)Peak memory usage: 36 MB
% 56.59/9.81 % (2017619)Instructions burned: 1472 (million)
% 56.59/9.81 % (2017621)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2954543719:i=6324_2959 on theBenchmark for (2959ds/6324Mi)
% 56.59/9.81 % TRYING [77]
% 56.59/9.81 % TRYING [8]
% 56.59/9.81 % (2017617)Instruction limit reached!
% 56.59/9.81 % (2017617)------------------------------
% 56.59/9.81 % (2017617)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.59/9.81 % (2017617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.59/9.81 % (2017617)CaDiCaL version: 2.1.3
% 56.59/9.81 % (2017617)Termination reason: Instruction limit
% 56.59/9.81 % (2017617)Termination phase: Saturation
% 56.59/9.81 % (2017617)Time elapsed: 4.784 s
% 56.59/9.81 % (2017617)Peak memory usage: 44 MB
% 56.59/9.81 % (2017617)Instructions burned: 5131 (million)
% 56.59/9.81 % (2017625)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2200150763:fmbsr=2.30978:i=2174_2931 on theBenchmark for (2931ds/2174Mi)
% 56.59/9.81 % TRYING [16]
% 56.59/9.81 % (2017625)Instruction limit reached!
% 56.59/9.81 % (2017625)------------------------------
% 56.59/9.81 % (2017625)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.59/9.81 % (2017625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.59/9.81 % (2017625)CaDiCaL version: 2.1.3
% 56.59/9.81 % (2017625)Termination reason: Instruction limit
% 56.59/9.81 % (2017625)Termination phase: Finite model building constraint generation
% 56.59/9.81 % (2017625)Time elapsed: 1.528 s
% 56.59/9.81 % (2017625)Peak memory usage: 135 MB
% 56.59/9.81 % (2017625)Instructions burned: 2175 (million)
% 56.59/9.81 % (2017627)ott-2_1_sil=16000:newcnf=on:random_seed=3862420098:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2915 on theBenchmark for (2915ds/869Mi)
% 56.59/9.81 % (2017621)Instruction limit reached!
% 56.59/9.81 % (2017621)------------------------------
% 56.59/9.81 % (2017621)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.59/9.81 % (2017621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.59/9.81 % (2017621)CaDiCaL version: 2.1.3
% 56.59/9.81 % (2017621)Termination reason: Instruction limit
% 56.59/9.81 % (2017621)Termination phase: Finite model building constraint generation
% 56.59/9.81 % (2017621)Time elapsed: 4.551 s
% 56.59/9.81 % (2017621)Peak memory usage: 516 MB
% 56.59/9.81 % (2017621)Instructions burned: 6325 (million)
% 56.59/9.81 % (2017611)Instruction limit reached!
% 56.59/9.81 % (2017611)------------------------------
% 56.59/9.81 % (2017611)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.59/9.81 % (2017611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.59/9.81 % (2017611)CaDiCaL version: 2.1.3
% 56.59/9.81 % (2017611)Termination reason: Instruction limit
% 56.59/9.81 % (2017611)Termination phase: Finite model building constraint generation
% 56.59/9.81 % (2017611)Time elapsed: 7.031 s
% 56.59/9.81 % (2017611)Peak memory usage: 664 MB
% 56.59/9.81 % (2017611)Instructions burned: 9515 (million)
% 56.59/9.81 % (2017629)ott+10_1_sil=32000:tgt=ground:random_seed=1761607286:i=5114:av=off_2912 on theBenchmark for (2912ds/5114Mi)
% 56.59/9.81 % (2017631)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=4248034486:i=54282_2911 on theBenchmark for (2911ds/54282Mi)
% 56.59/9.81 % TRYING [1]
% 56.59/9.81 % TRYING [2]
% 56.59/9.81 % TRYING [3]
% 56.59/9.81 % TRYING [4]
% 56.59/9.81 % TRYING [5]
% 56.59/9.81 % TRYING [6]
% 56.59/9.81 % (2017627) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2017568-2017627"...
% 56.59/9.81 % (2017627)...printing done.
% 56.59/9.81 % (2017627)Refutation found. Thanks to Tanya!
% 56.59/9.81 % SZS status Theorem for theBenchmark
% 56.59/9.81 % SZS output start Proof for theBenchmark
% See solution above
% 56.59/9.81 % (2017627)------------------------------
% 56.59/9.81 % (2017627)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.59/9.81 % (2017627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.59/9.81 % (2017627)CaDiCaL version: 2.1.3
% 56.59/9.81 % (2017627)Termination reason: Refutation
% 56.59/9.81 % (2017627)Time elapsed: 0.803 s
% 56.59/9.81 % (2017627)Peak memory usage: 21 MB
% 56.59/9.81 % (2017627)Instructions burned: 759 (million)
% 56.59/9.81 % (2017568)Success in time 9.29 s
% 56.59/9.81 % Vampire exiting
%------------------------------------------------------------------------------