%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KLE024+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n005.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 11:40:40 AM UTC 2026
% Result : Theorem 29.30s 5.14s
% Output : Refutation 29.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 21
% Syntax : Number of formulae : 172 ( 45 unt; 7 def)
% Number of atoms : 377 ( 135 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 374 ( 169 ~; 176 |; 11 &)
% ( 11 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 11 ( 9 usr; 8 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 103 ( 0 sgn 96 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_associativity) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_identity) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_associativity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/KLE001+0.ax',right_distributivity) ).
fof(f11,axiom,
! [X0] : multiplication(zero,X0) = zero,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',left_annihilation) ).
fof(f13,axiom,
! [X0] :
( test(X0)
<=> ? [X1] : complement(X1,X0) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/KLE001+1.ax',test_2) ).
fof(f15,axiom,
! [X0,X1] :
( test(X0)
=> ( c(X0) = X1
<=> complement(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_3) ).
fof(f16,axiom,
! [X0] :
( ~ test(X0)
=> c(X0) = zero ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/KLE001+2.ax',test_deMorgan2) ).
fof(f19,conjecture,
! [X0,X1,X2] :
( ( test(X1)
& test(X2) )
=> ( addition(multiplication(X0,c(X2)),multiplication(c(X1),X0)) = multiplication(c(X1),X0)
=> multiplication(multiplication(X1,X0),c(X2)) = zero ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f20,negated_conjecture,
~ ! [X0,X1,X2] :
( ( test(X1)
& test(X2) )
=> ( addition(multiplication(X0,c(X2)),multiplication(c(X1),X0)) = multiplication(c(X1),X0)
=> multiplication(multiplication(X1,X0),c(X2)) = zero ) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f21,plain,
! [X0,X1] :
( ( c(X0) = X1
<=> complement(X0,X1) )
| ~ test(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f22,plain,
! [X0] :
( c(X0) = zero
| test(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f25,plain,
! [X0,X1] :
( c(multiplication(X0,X1)) = addition(c(X0),c(X1))
| ~ test(X0)
| ~ test(X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f26,plain,
! [X0,X1] :
( c(multiplication(X0,X1)) = addition(c(X0),c(X1))
| ~ test(X0)
| ~ test(X1) ),
inference(flattening,[],[f25]) ).
fof(f27,plain,
? [X0,X1,X2] :
( zero != multiplication(multiplication(X1,X0),c(X2))
& addition(multiplication(X0,c(X2)),multiplication(c(X1),X0)) = multiplication(c(X1),X0)
& test(X1)
& test(X2) ),
inference(ennf_transformation,[],[f20]) ).
fof(f28,plain,
? [X0,X1,X2] :
( zero != multiplication(multiplication(X1,X0),c(X2))
& addition(multiplication(X0,c(X2)),multiplication(c(X1),X0)) = multiplication(c(X1),X0)
& test(X1)
& test(X2) ),
inference(flattening,[],[f27]) ).
fof(f29,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f30,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f31,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f32,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f33,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f35,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f36,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f39,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f40,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| test(X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f41,plain,
! [X0] :
( complement(sK0(X0),X0)
| ~ test(X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f42,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(cnf_transformation,[],[f14]) ).
fof(f43,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X1,X0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f44,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X0,X1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f45,plain,
! [X0,X1] :
( zero != multiplication(X1,X0)
| addition(X0,X1) != one
| zero != multiplication(X0,X1)
| complement(X1,X0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f46,plain,
! [X0,X1] :
( ~ complement(X0,X1)
| ~ test(X0)
| c(X0) = X1 ),
inference(cnf_transformation,[],[f21]) ).
fof(f47,plain,
! [X0,X1] :
( ~ test(X0)
| complement(X0,X1)
| c(X0) != X1 ),
inference(cnf_transformation,[],[f21]) ).
fof(f48,plain,
! [X0] :
( test(X0)
| zero = c(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f50,plain,
! [X0,X1] :
( ~ test(X1)
| ~ test(X0)
| c(multiplication(X0,X1)) = addition(c(X0),c(X1)) ),
inference(cnf_transformation,[],[f26]) ).
fof(f52,plain,
test(sK2),
inference(cnf_transformation,[],[f28]) ).
fof(f53,plain,
multiplication(c(sK2),sK1) = addition(multiplication(sK1,c(sK3)),multiplication(c(sK2),sK1)),
inference(cnf_transformation,[],[f28]) ).
fof(f54,plain,
zero != multiplication(multiplication(sK2,sK1),c(sK3)),
inference(cnf_transformation,[],[f28]) ).
fof(f55,plain,
! [X0] :
( complement(X0,c(X0))
| ~ test(X0) ),
inference(equality_resolution,[],[f47]) ).
fof(f57,plain,
! [X0] :
( test(c(X0))
| ~ test(X0) ),
inference(resolution,[],[f55,f40]) ).
fof(f61,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f31,f29]) ).
fof(f66,plain,
! [X0] :
( ~ test(X0)
| one = addition(X0,sK0(X0)) ),
inference(resolution,[],[f42,f41]) ).
fof(f69,plain,
! [X0] :
( ~ test(X0)
| zero = multiplication(sK0(X0),X0) ),
inference(resolution,[],[f43,f41]) ).
fof(f71,plain,
! [X0] :
( ~ test(X0)
| zero = multiplication(X0,sK0(X0)) ),
inference(resolution,[],[f44,f41]) ).
fof(f75,plain,
one = addition(sK2,sK0(sK2)),
inference(resolution,[],[f66,f52]) ).
fof(f86,plain,
! [X0] : addition(multiplication(c(sK2),sK1),X0) = addition(multiplication(sK1,c(sK3)),addition(multiplication(c(sK2),sK1),X0)),
inference(superposition,[],[f30,f53]) ).
fof(f87,plain,
! [X0] : addition(sK2,addition(sK0(sK2),X0)) = addition(one,X0),
inference(superposition,[],[f30,f75]) ).
fof(f106,plain,
zero != multiplication(sK2,multiplication(sK1,c(sK3))),
inference(superposition,[],[f54,f33]) ).
fof(f148,plain,
addition(sK2,sK0(sK2)) = addition(one,sK0(sK2)),
inference(superposition,[],[f87,f32]) ).
fof(f150,plain,
! [X0] : addition(one,X0) = addition(sK2,addition(X0,sK0(sK2))),
inference(superposition,[],[f87,f29]) ).
fof(f153,plain,
one = addition(one,sK0(sK2)),
inference(forward_demodulation,[],[f148,f75]) ).
fof(f208,plain,
! [X0] :
( ~ test(X0)
| c(multiplication(X0,sK2)) = addition(c(X0),c(sK2)) ),
inference(resolution,[],[f50,f52]) ).
fof(f212,plain,
! [X0] :
( ~ test(X0)
| c(multiplication(sK2,X0)) = addition(c(sK2),c(X0)) ),
inference(resolution,[],[f50,f52]) ).
fof(f237,plain,
addition(one,one) = addition(sK2,one),
inference(superposition,[],[f150,f153]) ).
fof(f241,plain,
addition(one,one) = addition(one,sK2),
inference(forward_demodulation,[],[f237,f29]) ).
fof(f245,plain,
one = addition(one,sK2),
inference(forward_demodulation,[],[f241,f32]) ).
fof(f277,definition,
( spl4_2
<=> zero = c(sK2) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
fof(f278,plain,
( zero = c(sK2)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f279,plain,
( zero != c(sK2)
| spl4_2 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f338,plain,
addition(c(sK2),c(sK2)) = c(multiplication(sK2,sK2)),
inference(resolution,[],[f208,f52]) ).
fof(f341,plain,
c(sK2) = c(multiplication(sK2,sK2)),
inference(forward_demodulation,[],[f338,f32]) ).
fof(f342,plain,
( test(c(sK2))
| ~ test(multiplication(sK2,sK2)) ),
inference(superposition,[],[f57,f341]) ).
fof(f343,plain,
( complement(multiplication(sK2,sK2),c(sK2))
| ~ test(multiplication(sK2,sK2)) ),
inference(superposition,[],[f55,f341]) ).
fof(f345,definition,
( spl4_7
<=> test(multiplication(sK2,sK2)) ),
introduced(definition,[new_symbols(definition,[spl4_7])],[avatar_definition]) ).
fof(f347,plain,
( ~ test(multiplication(sK2,sK2))
| spl4_7 ),
inference(avatar_component_clause,[],[f345]) ).
fof(f349,definition,
( spl4_8
<=> complement(multiplication(sK2,sK2),c(sK2)) ),
introduced(definition,[new_symbols(definition,[spl4_8])],[avatar_definition]) ).
fof(f351,plain,
( complement(multiplication(sK2,sK2),c(sK2))
| ~ spl4_8 ),
inference(avatar_component_clause,[],[f349]) ).
fof(f352,plain,
( ~ spl4_7
| spl4_8 ),
inference(avatar_split_clause,[],[f343,f349,f345]) ).
fof(f354,definition,
( spl4_9
<=> test(c(sK2)) ),
introduced(definition,[new_symbols(definition,[spl4_9])],[avatar_definition]) ).
fof(f356,plain,
( test(c(sK2))
| ~ spl4_9 ),
inference(avatar_component_clause,[],[f354]) ).
fof(f357,plain,
( ~ spl4_7
| spl4_9 ),
inference(avatar_split_clause,[],[f342,f354,f345]) ).
fof(f358,plain,
( zero = c(multiplication(sK2,sK2))
| spl4_7 ),
inference(resolution,[],[f347,f48]) ).
fof(f359,plain,
( zero = c(sK2)
| spl4_7 ),
inference(superposition,[],[f358,f341]) ).
fof(f365,plain,
( $false
| spl4_2
| spl4_7 ),
inference(forward_subsumption_resolution,[],[f359,f279]) ).
fof(f366,plain,
( spl4_2
| spl4_7 ),
inference(avatar_contradiction_clause,[],[f365]) ).
fof(f392,plain,
( multiplication(zero,sK1) = addition(multiplication(sK1,c(sK3)),multiplication(zero,sK1))
| ~ spl4_2 ),
inference(superposition,[],[f53,f278]) ).
fof(f394,plain,
( complement(sK2,zero)
| ~ test(sK2)
| ~ spl4_2 ),
inference(superposition,[],[f55,f278]) ).
fof(f395,plain,
( complement(sK2,zero)
| ~ spl4_2 ),
inference(forward_subsumption_resolution,[],[f394,f52]) ).
fof(f397,plain,
( multiplication(zero,sK1) = addition(multiplication(zero,sK1),multiplication(sK1,c(sK3)))
| ~ spl4_2 ),
inference(forward_demodulation,[],[f392,f29]) ).
fof(f398,plain,
( zero = addition(zero,multiplication(sK1,c(sK3)))
| ~ spl4_2 ),
inference(forward_demodulation,[],[f397,f39]) ).
fof(f399,plain,
( zero = multiplication(sK1,c(sK3))
| ~ spl4_2 ),
inference(forward_demodulation,[],[f398,f61]) ).
fof(f431,plain,
( one = addition(zero,sK2)
| ~ spl4_2 ),
inference(resolution,[],[f395,f42]) ).
fof(f433,plain,
( one = sK2
| ~ spl4_2 ),
inference(forward_demodulation,[],[f431,f61]) ).
fof(f437,plain,
( zero != multiplication(multiplication(one,sK1),c(sK3))
| ~ spl4_2 ),
inference(superposition,[],[f54,f433]) ).
fof(f458,plain,
( zero != multiplication(one,multiplication(sK1,c(sK3)))
| ~ spl4_2 ),
inference(forward_demodulation,[],[f437,f33]) ).
fof(f466,plain,
( zero != multiplication(sK1,c(sK3))
| ~ spl4_2 ),
inference(forward_demodulation,[],[f458,f35]) ).
fof(f468,plain,
( $false
| ~ spl4_2 ),
inference(forward_subsumption_resolution,[],[f466,f399]) ).
fof(f469,plain,
~ spl4_2,
inference(avatar_contradiction_clause,[],[f468]) ).
fof(f529,plain,
( zero = multiplication(c(sK2),multiplication(sK2,sK2))
| ~ spl4_8 ),
inference(resolution,[],[f351,f44]) ).
fof(f530,plain,
( zero = multiplication(multiplication(sK2,sK2),c(sK2))
| ~ spl4_8 ),
inference(resolution,[],[f351,f43]) ).
fof(f531,plain,
( one = addition(c(sK2),multiplication(sK2,sK2))
| ~ spl4_8 ),
inference(resolution,[],[f351,f42]) ).
fof(f533,plain,
( zero = multiplication(sK2,multiplication(sK2,c(sK2)))
| ~ spl4_8 ),
inference(forward_demodulation,[],[f530,f33]) ).
fof(f670,plain,
( zero != zero
| one != addition(multiplication(sK2,sK2),c(sK2))
| zero != multiplication(multiplication(sK2,sK2),c(sK2))
| complement(c(sK2),multiplication(sK2,sK2))
| ~ spl4_8 ),
inference(superposition,[],[f45,f529]) ).
fof(f676,plain,
( one != addition(multiplication(sK2,sK2),c(sK2))
| zero != multiplication(multiplication(sK2,sK2),c(sK2))
| complement(c(sK2),multiplication(sK2,sK2))
| ~ spl4_8 ),
inference(trivial_inequality_removal,[],[f670]) ).
fof(f682,plain,
( one != addition(c(sK2),multiplication(sK2,sK2))
| zero != multiplication(multiplication(sK2,sK2),c(sK2))
| complement(c(sK2),multiplication(sK2,sK2))
| ~ spl4_8 ),
inference(forward_demodulation,[],[f676,f29]) ).
fof(f684,plain,
( zero != multiplication(multiplication(sK2,sK2),c(sK2))
| complement(c(sK2),multiplication(sK2,sK2))
| ~ spl4_8 ),
inference(forward_subsumption_resolution,[],[f682,f531]) ).
fof(f685,plain,
( zero != multiplication(sK2,multiplication(sK2,c(sK2)))
| complement(c(sK2),multiplication(sK2,sK2))
| ~ spl4_8 ),
inference(forward_demodulation,[],[f684,f33]) ).
fof(f686,plain,
( complement(c(sK2),multiplication(sK2,sK2))
| ~ spl4_8 ),
inference(forward_subsumption_resolution,[],[f685,f533]) ).
fof(f687,plain,
( ~ test(c(sK2))
| multiplication(sK2,sK2) = c(c(sK2))
| ~ spl4_8 ),
inference(resolution,[],[f686,f46]) ).
fof(f694,plain,
( multiplication(sK2,sK2) = c(c(sK2))
| ~ spl4_8
| ~ spl4_9 ),
inference(forward_subsumption_resolution,[],[f687,f356]) ).
fof(f750,plain,
( addition(c(sK2),c(c(sK2))) = c(multiplication(sK2,c(sK2)))
| ~ spl4_9 ),
inference(resolution,[],[f212,f356]) ).
fof(f755,plain,
( addition(c(sK2),multiplication(sK2,sK2)) = c(multiplication(sK2,c(sK2)))
| ~ spl4_8
| ~ spl4_9 ),
inference(forward_demodulation,[],[f750,f694]) ).
fof(f759,plain,
( one = c(multiplication(sK2,c(sK2)))
| ~ spl4_8
| ~ spl4_9 ),
inference(forward_demodulation,[],[f755,f531]) ).
fof(f771,plain,
( complement(multiplication(sK2,c(sK2)),one)
| ~ test(multiplication(sK2,c(sK2)))
| ~ spl4_8
| ~ spl4_9 ),
inference(superposition,[],[f55,f759]) ).
fof(f773,definition,
( spl4_18
<=> test(multiplication(sK2,c(sK2))) ),
introduced(definition,[new_symbols(definition,[spl4_18])],[avatar_definition]) ).
fof(f775,plain,
( ~ test(multiplication(sK2,c(sK2)))
| spl4_18 ),
inference(avatar_component_clause,[],[f773]) ).
fof(f777,definition,
( spl4_19
<=> complement(multiplication(sK2,c(sK2)),one) ),
introduced(definition,[new_symbols(definition,[spl4_19])],[avatar_definition]) ).
fof(f779,plain,
( complement(multiplication(sK2,c(sK2)),one)
| ~ spl4_19 ),
inference(avatar_component_clause,[],[f777]) ).
fof(f780,plain,
( ~ spl4_18
| spl4_19
| ~ spl4_8
| ~ spl4_9 ),
inference(avatar_split_clause,[],[f771,f354,f349,f777,f773]) ).
fof(f786,plain,
( zero = c(multiplication(sK2,c(sK2)))
| spl4_18 ),
inference(resolution,[],[f775,f48]) ).
fof(f820,plain,
( zero = one
| ~ spl4_8
| ~ spl4_9
| spl4_18 ),
inference(superposition,[],[f759,f786]) ).
fof(f838,plain,
( zero = addition(zero,sK2)
| ~ spl4_8
| ~ spl4_9
| spl4_18 ),
inference(superposition,[],[f245,f820]) ).
fof(f841,plain,
( zero = sK2
| ~ spl4_8
| ~ spl4_9
| spl4_18 ),
inference(forward_demodulation,[],[f838,f61]) ).
fof(f864,plain,
( zero != c(zero)
| spl4_2
| ~ spl4_8
| ~ spl4_9
| spl4_18 ),
inference(superposition,[],[f279,f841]) ).
fof(f874,plain,
( one = addition(c(zero),multiplication(zero,zero))
| ~ spl4_8
| ~ spl4_9
| spl4_18 ),
inference(superposition,[],[f531,f841]) ).
fof(f886,plain,
( one = addition(c(zero),zero)
| ~ spl4_8
| ~ spl4_9
| spl4_18 ),
inference(forward_demodulation,[],[f874,f39]) ).
fof(f906,plain,
( one = c(zero)
| ~ spl4_8
| ~ spl4_9
| spl4_18 ),
inference(forward_demodulation,[],[f886,f31]) ).
fof(f915,plain,
( zero = c(zero)
| ~ spl4_8
| ~ spl4_9
| spl4_18 ),
inference(forward_demodulation,[],[f906,f820]) ).
fof(f917,plain,
( $false
| spl4_2
| ~ spl4_8
| ~ spl4_9
| spl4_18 ),
inference(forward_subsumption_resolution,[],[f915,f864]) ).
fof(f918,plain,
( spl4_2
| ~ spl4_8
| ~ spl4_9
| spl4_18 ),
inference(avatar_contradiction_clause,[],[f917]) ).
fof(f1017,plain,
( zero = multiplication(one,multiplication(sK2,c(sK2)))
| ~ spl4_19 ),
inference(resolution,[],[f779,f44]) ).
fof(f1022,plain,
( zero = multiplication(sK2,c(sK2))
| ~ spl4_19 ),
inference(forward_demodulation,[],[f1017,f35]) ).
fof(f1258,plain,
( ! [X0] : multiplication(zero,X0) = multiplication(sK2,multiplication(c(sK2),X0))
| ~ spl4_19 ),
inference(superposition,[],[f33,f1022]) ).
fof(f1260,plain,
( ! [X0] : zero = multiplication(sK2,multiplication(c(sK2),X0))
| ~ spl4_19 ),
inference(forward_demodulation,[],[f1258,f39]) ).
fof(f5472,plain,
zero = multiplication(sK0(sK2),sK2),
inference(resolution,[],[f69,f52]) ).
fof(f6308,definition,
( spl4_105
<=> zero = multiplication(sK2,sK0(sK2)) ),
introduced(definition,[new_symbols(definition,[spl4_105])],[avatar_definition]) ).
fof(f6309,plain,
( zero = multiplication(sK2,sK0(sK2))
| ~ spl4_105 ),
inference(avatar_component_clause,[],[f6308]) ).
fof(f6310,plain,
( zero != multiplication(sK2,sK0(sK2))
| spl4_105 ),
inference(avatar_component_clause,[],[f6308]) ).
fof(f6645,plain,
( ! [X0,X1] : addition(multiplication(sK2,X0),zero) = multiplication(sK2,addition(X0,multiplication(c(sK2),X1)))
| ~ spl4_19 ),
inference(superposition,[],[f36,f1260]) ).
fof(f6646,plain,
( ! [X0,X1] : addition(zero,multiplication(sK2,X1)) = multiplication(sK2,addition(multiplication(c(sK2),X0),X1))
| ~ spl4_19 ),
inference(superposition,[],[f36,f1260]) ).
fof(f6650,plain,
( ! [X0,X1] : multiplication(sK2,X1) = multiplication(sK2,addition(multiplication(c(sK2),X0),X1))
| ~ spl4_19 ),
inference(forward_demodulation,[],[f6646,f61]) ).
fof(f6651,plain,
( ! [X0,X1] : multiplication(sK2,X0) = multiplication(sK2,addition(X0,multiplication(c(sK2),X1)))
| ~ spl4_19 ),
inference(forward_demodulation,[],[f6645,f31]) ).
fof(f7569,plain,
zero = multiplication(sK2,sK0(sK2)),
inference(resolution,[],[f71,f52]) ).
fof(f7573,plain,
( $false
| spl4_105 ),
inference(forward_subsumption_resolution,[],[f7569,f6310]) ).
fof(f7574,plain,
spl4_105,
inference(avatar_contradiction_clause,[],[f7573]) ).
fof(f7660,plain,
( zero != zero
| one != addition(sK0(sK2),sK2)
| zero != multiplication(sK0(sK2),sK2)
| complement(sK2,sK0(sK2))
| ~ spl4_105 ),
inference(superposition,[],[f45,f6309]) ).
fof(f7663,plain,
( ! [X0] : addition(multiplication(sK2,X0),zero) = multiplication(sK2,addition(X0,sK0(sK2)))
| ~ spl4_105 ),
inference(superposition,[],[f36,f6309]) ).
fof(f7666,plain,
( one != addition(sK0(sK2),sK2)
| zero != multiplication(sK0(sK2),sK2)
| complement(sK2,sK0(sK2))
| ~ spl4_105 ),
inference(trivial_inequality_removal,[],[f7660]) ).
fof(f7669,plain,
( ! [X0] : multiplication(sK2,X0) = multiplication(sK2,addition(X0,sK0(sK2)))
| ~ spl4_105 ),
inference(forward_demodulation,[],[f7663,f31]) ).
fof(f7672,plain,
( one != addition(sK0(sK2),sK2)
| complement(sK2,sK0(sK2))
| ~ spl4_105 ),
inference(forward_subsumption_resolution,[],[f7666,f5472]) ).
fof(f7673,plain,
( one != addition(sK2,sK0(sK2))
| complement(sK2,sK0(sK2))
| ~ spl4_105 ),
inference(forward_demodulation,[],[f7672,f29]) ).
fof(f7674,plain,
( complement(sK2,sK0(sK2))
| ~ spl4_105 ),
inference(forward_subsumption_resolution,[],[f7673,f75]) ).
fof(f7694,plain,
( ~ test(sK2)
| c(sK2) = sK0(sK2)
| ~ spl4_105 ),
inference(resolution,[],[f7674,f46]) ).
fof(f7702,plain,
( c(sK2) = sK0(sK2)
| ~ spl4_105 ),
inference(forward_subsumption_resolution,[],[f7694,f52]) ).
fof(f7840,plain,
( ! [X0,X1] : multiplication(sK2,addition(X0,X1)) = multiplication(sK2,addition(X0,addition(X1,sK0(sK2))))
| ~ spl4_105 ),
inference(superposition,[],[f7669,f30]) ).
fof(f7862,plain,
( ! [X0,X1] : multiplication(sK2,addition(X0,X1)) = multiplication(sK2,addition(X0,addition(X1,c(sK2))))
| ~ spl4_105 ),
inference(forward_demodulation,[],[f7840,f7702]) ).
fof(f12542,plain,
( multiplication(sK2,addition(multiplication(sK1,c(sK3)),multiplication(c(sK2),sK1))) = multiplication(sK2,addition(multiplication(c(sK2),sK1),c(sK2)))
| ~ spl4_105 ),
inference(superposition,[],[f7862,f86]) ).
fof(f12592,plain,
( multiplication(sK2,c(sK2)) = multiplication(sK2,addition(multiplication(sK1,c(sK3)),multiplication(c(sK2),sK1)))
| ~ spl4_19
| ~ spl4_105 ),
inference(forward_demodulation,[],[f12542,f6650]) ).
fof(f12608,plain,
( multiplication(sK2,multiplication(sK1,c(sK3))) = multiplication(sK2,c(sK2))
| ~ spl4_19
| ~ spl4_105 ),
inference(forward_demodulation,[],[f12592,f6651]) ).
fof(f12617,plain,
( zero = multiplication(sK2,multiplication(sK1,c(sK3)))
| ~ spl4_19
| ~ spl4_105 ),
inference(forward_demodulation,[],[f12608,f1022]) ).
fof(f12624,plain,
( $false
| ~ spl4_19
| ~ spl4_105 ),
inference(forward_subsumption_resolution,[],[f12617,f106]) ).
fof(f12625,plain,
( ~ spl4_19
| ~ spl4_105 ),
inference(avatar_contradiction_clause,[],[f12624]) ).
cnf(s3,plain,
( ~ spl4_7
| spl4_8 ),
inference(sat_conversion,[],[f352]) ).
cnf(s4,plain,
( ~ spl4_7
| spl4_9 ),
inference(sat_conversion,[],[f357]) ).
cnf(s6,plain,
( spl4_2
| spl4_7 ),
inference(sat_conversion,[],[f366]) ).
cnf(s12,plain,
~ spl4_2,
inference(sat_conversion,[],[f469]) ).
cnf(s22,plain,
( ~ spl4_8
| ~ spl4_9
| ~ spl4_18
| spl4_19 ),
inference(sat_conversion,[],[f780]) ).
cnf(s31,plain,
( spl4_2
| ~ spl4_8
| ~ spl4_9
| spl4_18 ),
inference(sat_conversion,[],[f918]) ).
cnf(s142,plain,
spl4_105,
inference(sat_conversion,[],[f7574]) ).
cnf(s179,plain,
( ~ spl4_19
| ~ spl4_105 ),
inference(sat_conversion,[],[f12625]) ).
cnf(s180,plain,
~ spl4_19,
inference(rat,[],[s179,s142]) ).
cnf(s188,plain,
( ~ spl4_8
| ~ spl4_9
| ~ spl4_18 ),
inference(rat,[],[s22,s180]) ).
cnf(s203,plain,
spl4_7,
inference(rat,[],[s6,s12]) ).
cnf(s204,plain,
spl4_9,
inference(rat,[],[s4,s203]) ).
cnf(s209,plain,
spl4_8,
inference(rat,[],[s3,s203]) ).
cnf(s210,plain,
spl4_18,
inference(rat,[],[s31,s204,s12,s209]) ).
cnf(s211,plain,
$false,
inference(rat,[],[s188,s204,s210,s209]) ).
fof(f12626,plain,
$false,
inference(avatar_sat_refutation,[],[s211]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KLE024+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n005.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 13:03:17 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.10/2.43 % (3972976)Will run a generic schedule for satisfiability detection.
% 14.10/2.43 % (3972984)dis+10_1_sil=32000:sp=arity:random_seed=261719751:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 14.10/2.43 % (3972981)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2549561987_2999 on theBenchmark for (2999ds/0Mi)
% 14.10/2.43 % (3972986)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1568217845:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 14.10/2.43 % (3972983)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4273503059:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 14.10/2.43 % (3972985)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2141118907:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 14.10/2.43 % (3972982)% WARNING: option uhcvi not known.
% 14.10/2.43 % (3972987)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3014054726:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 14.10/2.43 % TRYING [1]
% 14.10/2.43 % TRYING [2]
% 14.10/2.43 % TRYING [3]
% 14.10/2.43 % (3972982)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=629336932:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 14.10/2.43 % TRYING [4]
% 14.10/2.43 % (3972984)Instruction limit reached!
% 14.10/2.43 % (3972984)------------------------------
% 14.10/2.43 % (3972984)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.10/2.43 % (3972984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.10/2.43 % (3972984)CaDiCaL version: 2.1.3
% 14.10/2.43 % (3972984)Termination reason: Instruction limit
% 14.10/2.43 % (3972984)Termination phase: Saturation
% 14.10/2.43 % (3972984)Time elapsed: 0.034 s
% 14.10/2.43 % (3972984)Peak memory usage: 13 MB
% 14.10/2.43 % (3972984)Instructions burned: 104 (million)
% 14.10/2.43 % TRYING [5]
% 14.10/2.43 % (3972995)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3257164881:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 14.10/2.43 % TRYING [1]
% 14.10/2.43 % TRYING [2]
% 14.10/2.43 % TRYING [3]
% 14.10/2.43 % TRYING [4]
% 14.10/2.43 % TRYING [5]
% 14.10/2.43 % (3972985)Instruction limit reached!
% 14.10/2.43 % (3972985)------------------------------
% 14.10/2.43 % (3972985)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.10/2.43 % (3972985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.10/2.43 % (3972985)CaDiCaL version: 2.1.3
% 14.10/2.43 % (3972985)Termination reason: Instruction limit
% 14.10/2.43 % (3972985)Termination phase: Saturation
% 14.10/2.43 % (3972985)Time elapsed: 0.070 s
% 14.10/2.43 % (3972985)Peak memory usage: 13 MB
% 14.10/2.43 % (3972985)Instructions burned: 117 (million)
% 14.10/2.43 % (3972986)Instruction limit reached!
% 14.10/2.43 % (3972986)------------------------------
% 14.10/2.43 % (3972986)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.10/2.43 % (3972986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.10/2.43 % (3972986)CaDiCaL version: 2.1.3
% 14.10/2.43 % (3972986)Termination reason: Instruction limit
% 14.10/2.43 % (3972986)Termination phase: Saturation
% 14.10/2.43 % (3972986)Time elapsed: 0.074 s
% 14.10/2.43 % (3972986)Peak memory usage: 13 MB
% 14.10/2.43 % (3972986)Instructions burned: 132 (million)
% 14.10/2.43 % TRYING [6]
% 14.10/2.43 % TRYING [6]
% 14.10/2.43 % (3972997)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1834378968:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 14.10/2.43 % (3972998)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=488127435:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 14.10/2.43 % (3972987)Instruction limit reached!
% 14.10/2.43 % (3972987)------------------------------
% 14.10/2.43 % (3972987)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.10/2.43 % (3972987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.10/2.43 % (3972987)CaDiCaL version: 2.1.3
% 14.10/2.43 % (3972987)Termination reason: Instruction limit
% 14.10/2.43 % (3972987)Termination phase: Saturation
% 14.10/2.43 % (3972987)Time elapsed: 0.101 s
% 14.10/2.43 % (3972987)Peak memory usage: 13 MB
% 14.10/2.43 % (3972987)Instructions burned: 160 (million)
% 14.10/2.43 % (3973001)ott-21_1_sil=16000:fs=off:random_seed=2869031028:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 14.10/2.43 % TRYING [7]
% 14.10/2.43 % (3972997)Instruction limit reached!
% 14.10/2.43 % (3972997)------------------------------
% 14.10/2.43 % (3972997)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.30/5.14 % (3972997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.30/5.14 % (3972997)CaDiCaL version: 2.1.3
% 29.30/5.14 % (3972997)Termination reason: Instruction limit
% 29.30/5.14 % (3972997)Termination phase: Saturation
% 29.30/5.14 % (3972997)Time elapsed: 0.086 s
% 29.30/5.14 % (3972997)Peak memory usage: 13 MB
% 29.30/5.14 % (3972997)Instructions burned: 131 (million)
% 29.30/5.14 % (3972995)Instruction limit reached!
% 29.30/5.14 % (3972995)------------------------------
% 29.30/5.14 % (3972995)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.30/5.14 % (3972995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.30/5.14 % (3972995)CaDiCaL version: 2.1.3
% 29.30/5.14 % (3972995)Termination reason: Instruction limit
% 29.30/5.14 % (3972995)Termination phase: Finite model building constraint generation
% 29.30/5.14 % (3972995)Time elapsed: 0.153 s
% 29.30/5.14 % (3972995)Peak memory usage: 31 MB
% 29.30/5.14 % (3972995)Instructions burned: 718 (million)
% 29.30/5.14 % (3973003)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1313036768:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 29.30/5.14 % (3973001)Instruction limit reached!
% 29.30/5.14 % (3973001)------------------------------
% 29.30/5.14 % (3973001)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.30/5.14 % (3973001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.30/5.14 % (3973001)CaDiCaL version: 2.1.3
% 29.30/5.14 % (3973001)Termination reason: Instruction limit
% 29.30/5.14 % (3973001)Termination phase: Saturation
% 29.30/5.14 % (3973001)Time elapsed: 0.080 s
% 29.30/5.14 % (3973001)Peak memory usage: 12 MB
% 29.30/5.14 % (3973001)Instructions burned: 182 (million)
% 29.30/5.14 % (3973004)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3842555568:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 29.30/5.14 % TRYING [1]
% 29.30/5.14 % TRYING [2]
% 29.30/5.14 % TRYING [3]
% 29.30/5.14 % TRYING [4]
% 29.30/5.14 % (3973006)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=685058416:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 29.30/5.14 % TRYING [5]
% 29.30/5.14 % TRYING [7]
% 29.30/5.14 % TRYING [6]
% 29.30/5.14 % (3973004)Instruction limit reached!
% 29.30/5.14 % (3973004)------------------------------
% 29.30/5.14 % (3973004)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.30/5.14 % (3973004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.30/5.14 % (3973004)CaDiCaL version: 2.1.3
% 29.30/5.14 % (3973004)Termination reason: Instruction limit
% 29.30/5.14 % (3973004)Termination phase: Finite model building SAT solving
% 29.30/5.14 % (3973004)Time elapsed: 0.177 s
% 29.30/5.14 % (3973004)Peak memory usage: 25 MB
% 29.30/5.14 % (3973004)Instructions burned: 868 (million)
% 29.30/5.14 % (3973009)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2365804235:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 29.30/5.14 % (3972998)Instruction limit reached!
% 29.30/5.14 % (3972998)------------------------------
% 29.30/5.14 % (3972998)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.30/5.14 % (3972998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.30/5.14 % (3972998)CaDiCaL version: 2.1.3
% 29.30/5.14 % (3972998)Termination reason: Instruction limit
% 29.30/5.14 % (3972998)Termination phase: Saturation
% 29.30/5.14 % (3972998)Time elapsed: 0.362 s
% 29.30/5.14 % (3972998)Peak memory usage: 18 MB
% 29.30/5.14 % (3972998)Instructions burned: 684 (million)
% 29.30/5.14 % TRYING [14]
% 29.30/5.14 % (3973003)Instruction limit reached!
% 29.30/5.14 % (3973003)------------------------------
% 29.30/5.14 % (3973003)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.30/5.14 % (3973003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.30/5.14 % (3973003)CaDiCaL version: 2.1.3
% 29.30/5.14 % (3973003)Termination reason: Instruction limit
% 29.30/5.14 % (3973003)Termination phase: Saturation
% 29.30/5.14 % (3973003)Time elapsed: 0.275 s
% 29.30/5.14 % (3973003)Peak memory usage: 14 MB
% 29.30/5.14 % (3973003)Instructions burned: 478 (million)
% 29.30/5.14 % (3973011)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=2344891140:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 29.30/5.14 % (3973013)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2658363269:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 29.30/5.14 % (3973009)Instruction limit reached!
% 29.30/5.14 % (3973009)------------------------------
% 29.30/5.14 % (3973009)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.30/5.14 % (3973009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.30/5.14 % (3973009)CaDiCaL version: 2.1.3
% 29.30/5.14 % (3973009)Termination reason: Instruction limit
% 29.30/5.14 % (3973009)Termination phase: Finite model building constraint generation
% 29.30/5.14 % (3973009)Time elapsed: 0.189 s
% 29.30/5.14 % (3973009)Peak memory usage: 81 MB
% 29.30/5.14 % (3973009)Instructions burned: 894 (million)
% 29.30/5.14 % (3973015)fmb+10_1_sil=64000:random_seed=2226945656:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 29.30/5.14 % TRYING [1]
% 29.30/5.14 % TRYING [2]
% 29.30/5.14 % TRYING [3]
% 29.30/5.14 % TRYING [4]
% 29.30/5.14 % TRYING [5]
% 29.30/5.14 % TRYING [8]
% 29.30/5.14 % TRYING [6]
% 29.30/5.14 % (3973011)Instruction limit reached!
% 29.30/5.14 % (3973011)------------------------------
% 29.30/5.14 % (3973011)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.30/5.14 % (3973011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.30/5.14 % (3973011)CaDiCaL version: 2.1.3
% 29.30/5.14 % (3973011)Termination reason: Instruction limit
% 29.30/5.14 % (3973011)Termination phase: Saturation
% 29.30/5.14 % (3973011)Time elapsed: 0.355 s
% 29.30/5.14 % (3973011)Peak memory usage: 14 MB
% 29.30/5.14 % (3973011)Instructions burned: 694 (million)
% 29.30/5.14 % TRYING [7]
% 29.30/5.14 % (3973006)Instruction limit reached!
% 29.30/5.14 % (3973006)------------------------------
% 29.30/5.14 % (3973006)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.30/5.14 % (3973006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.30/5.14 % (3973006)CaDiCaL version: 2.1.3
% 29.30/5.14 % (3973006)Termination reason: Instruction limit
% 29.30/5.14 % (3973006)Termination phase: Saturation
% 29.30/5.14 % (3973006)Time elapsed: 0.622 s
% 29.30/5.14 % (3973006)Peak memory usage: 18 MB
% 29.30/5.14 % (3973006)Instructions burned: 1181 (million)
% 29.30/5.14 % (3973017)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3958938669:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 29.30/5.14 % TRYING [20]
% 29.30/5.14 % (3973018)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=597214128:fmbsr=1.7:i=920_2991 on theBenchmark for (2991ds/920Mi)
% 29.30/5.14 % TRYING [8]
% 29.30/5.14 % (3973013)Instruction limit reached!
% 29.30/5.14 % (3973013)------------------------------
% 29.30/5.14 % (3973013)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.30/5.14 % (3973013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.30/5.14 % (3973013)CaDiCaL version: 2.1.3
% 29.30/5.14 % (3973013)Termination reason: Instruction limit
% 29.30/5.14 % (3973013)Termination phase: Saturation
% 29.30/5.14 % (3973013)Time elapsed: 0.486 s
% 29.30/5.14 % (3973013)Peak memory usage: 18 MB
% 29.30/5.14 % (3973013)Instructions burned: 879 (million)
% 29.30/5.14 % (3973021)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=248816048:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 29.30/5.14 % TRYING [8]
% 29.30/5.14 % (3973018)Instruction limit reached!
% 29.30/5.14 % (3973018)------------------------------
% 29.30/5.14 % (3973018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.30/5.14 % (3973018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.30/5.14 % (3973018)CaDiCaL version: 2.1.3
% 29.30/5.14 % (3973018)Termination reason: Instruction limit
% 29.30/5.14 % (3973018)Termination phase: Finite model building constraint generation
% 29.30/5.14 % (3973018)Time elapsed: 0.353 s
% 29.30/5.14 % (3973018)Peak memory usage: 66 MB
% 29.30/5.14 % (3973018)Instructions burned: 920 (million)
% 29.30/5.14 % (3973023)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1185923822:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 29.30/5.14 % TRYING [9]
% 29.30/5.14 % TRYING [9]
% 29.30/5.14 % (3973023)Instruction limit reached!
% 29.30/5.14 % (3973023)------------------------------
% 29.30/5.14 % (3973023)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.30/5.14 % (3973023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.30/5.14 % (3973023)CaDiCaL version: 2.1.3
% 29.30/5.14 % (3973023)Termination reason: Instruction limit
% 29.30/5.14 % (3973023)Termination phase: Saturation
% 29.30/5.14 % (3973023)Time elapsed: 0.715 s
% 29.30/5.14 % (3973023)Peak memory usage: 27 MB
% 29.30/5.14 % (3973023)Instructions burned: 1473 (million)
% 29.30/5.14 % (3973025)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=137547087:i=6324_2980 on theBenchmark for (2980ds/6324Mi)
% 29.30/5.14 % TRYING [77]
% 29.30/5.14 % (3973021)Instruction limit reached!
% 29.30/5.14 % (3973021)------------------------------
% 29.30/5.14 % (3973021)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.30/5.14 % (3973021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.30/5.14 % (3973021)CaDiCaL version: 2.1.3
% 29.30/5.14 % (3973021)Termination reason: Instruction limit
% 29.30/5.14 % (3973021)Termination phase: Saturation
% 29.30/5.14 % (3973021)Time elapsed: 2.740 s
% 29.30/5.14 % (3973021)Peak memory usage: 47 MB
% 29.30/5.14 % (3973021)Instructions burned: 5131 (million)
% 29.30/5.14 % TRYING [10]
% 29.30/5.14 % (3973027)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1274434847:fmbsr=2.30978:i=2174_2962 on theBenchmark for (2962ds/2174Mi)
% 29.30/5.14 % TRYING [16]
% 29.30/5.14 % (3973017)Instruction limit reached!
% 29.30/5.14 % (3973017)------------------------------
% 29.30/5.14 % (3973017)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.30/5.14 % (3973017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.30/5.14 % (3973017)CaDiCaL version: 2.1.3
% 29.30/5.14 % (3973017)Termination reason: Instruction limit
% 29.30/5.14 % (3973017)Termination phase: Finite model building constraint generation
% 29.30/5.14 % (3973017)Time elapsed: 3.456 s
% 29.30/5.14 % (3973017)Peak memory usage: 664 MB
% 29.30/5.14 % (3973017)Instructions burned: 9516 (million)
% 29.30/5.14 % (3973025)Instruction limit reached!
% 29.30/5.14 % (3973025)------------------------------
% 29.30/5.14 % (3973025)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.30/5.14 % (3973025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.30/5.14 % (3973025)CaDiCaL version: 2.1.3
% 29.30/5.14 % (3973025)Termination reason: Instruction limit
% 29.30/5.14 % (3973025)Termination phase: Finite model building constraint generation
% 29.30/5.14 % (3973025)Time elapsed: 2.347 s
% 29.30/5.14 % (3973025)Peak memory usage: 516 MB
% 29.30/5.14 % (3973025)Instructions burned: 6326 (million)
% 29.30/5.14 % (3973029)ott-2_1_sil=16000:newcnf=on:random_seed=3458229246:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2955 on theBenchmark for (2955ds/869Mi)
% 29.30/5.14 % (3973030)ott+10_1_sil=32000:tgt=ground:random_seed=2256952199:i=5114:av=off_2955 on theBenchmark for (2955ds/5114Mi)
% 29.30/5.14 % (3973027)Instruction limit reached!
% 29.30/5.14 % (3973027)------------------------------
% 29.30/5.14 % (3973027)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.30/5.14 % (3973027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.30/5.14 % (3973027)CaDiCaL version: 2.1.3
% 29.30/5.14 % (3973027)Termination reason: Instruction limit
% 29.30/5.14 % (3973027)Termination phase: Finite model building constraint generation
% 29.30/5.14 % (3973027)Time elapsed: 0.739 s
% 29.30/5.14 % (3973027)Peak memory usage: 135 MB
% 29.30/5.14 % (3973027)Instructions burned: 2176 (million)
% 29.30/5.14 % (3973033)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=989604060:i=54282_2954 on theBenchmark for (2954ds/54282Mi)
% 29.30/5.14 % TRYING [1]
% 29.30/5.14 % TRYING [2]
% 29.30/5.14 % TRYING [3]
% 29.30/5.14 % TRYING [4]
% 29.30/5.14 % TRYING [5]
% 29.30/5.14 % TRYING [6]
% 29.30/5.14 % (3973029) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3972976-3973029"...
% 29.30/5.14 % (3973029)...printing done.
% 29.30/5.14 % (3973029)Refutation found. Thanks to Tanya!
% 29.30/5.14 % SZS status Theorem for theBenchmark
% 29.30/5.14 % SZS output start Proof for theBenchmark
% See solution above
% 29.30/5.14 % (3973029)------------------------------
% 29.30/5.14 % (3973029)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.30/5.14 % (3973029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.30/5.14 % (3973029)CaDiCaL version: 2.1.3
% 29.30/5.14 % (3973029)Termination reason: Refutation
% 29.30/5.14 % (3973029)Time elapsed: 0.243 s
% 29.30/5.14 % (3973029)Peak memory usage: 18 MB
% 29.30/5.14 % (3973029)Instructions burned: 393 (million)
% 29.30/5.14 % (3972976)Success in time 4.722 s
% 29.30/5.14 % Vampire exiting
%------------------------------------------------------------------------------