%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KLE008+1 : 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 : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:40:35 AM UTC 2026
% Result : Theorem 32.64s 5.13s
% Output : Refutation 32.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 17
% Syntax : Number of formulae : 139 ( 74 unt; 3 def)
% Number of atoms : 265 ( 130 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 206 ( 80 ~; 89 |; 26 &)
% ( 7 <=>; 3 =>; 0 <=; 1 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 136 ( 124 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_associativity) ).
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(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(f17,conjecture,
! [X0,X1,X2] :
( test(X2)
=> ( leq(X0,multiplication(X2,X1))
<=> ( leq(X0,X1)
& leq(multiplication(c(X2),X0),zero) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0,X1,X2] :
( test(X2)
=> ( leq(X0,multiplication(X2,X1))
<=> ( leq(X0,X1)
& leq(multiplication(c(X2),X0),zero) ) ) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
! [X0,X1] :
( ( c(X0) = X1
<=> complement(X0,X1) )
| ~ test(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f21,plain,
? [X0,X1,X2] :
( ( leq(X0,multiplication(X2,X1))
<~> ( leq(X0,X1)
& leq(multiplication(c(X2),X0),zero) ) )
& test(X2) ),
inference(ennf_transformation,[],[f18]) ).
fof(f22,plain,
! [X0,X1] :
( ( leq(X0,X1)
| addition(X0,X1) != X1 )
& ( addition(X0,X1) = X1
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f23,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( ? [X1] : complement(X1,X0)
| ~ test(X0) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f24,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( ? [X2] : complement(X2,X0)
| ~ test(X0) ) ),
inference(rectify,[],[f23]) ).
fof(f25,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( complement(sK0(X0),X0)
| ~ test(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0))],[f24]) ).
fof(f26,plain,
! [X0,X1] :
( ( complement(X1,X0)
| zero != multiplication(X0,X1)
| zero != multiplication(X1,X0)
| addition(X0,X1) != one )
& ( ( multiplication(X0,X1) = zero
& multiplication(X1,X0) = zero
& addition(X0,X1) = one )
| ~ complement(X1,X0) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f27,plain,
! [X0,X1] :
( ( complement(X1,X0)
| zero != multiplication(X0,X1)
| zero != multiplication(X1,X0)
| addition(X0,X1) != one )
& ( ( multiplication(X0,X1) = zero
& multiplication(X1,X0) = zero
& addition(X0,X1) = one )
| ~ complement(X1,X0) ) ),
inference(flattening,[],[f26]) ).
fof(f28,plain,
! [X0,X1] :
( ( ( c(X0) = X1
| ~ complement(X0,X1) )
& ( complement(X0,X1)
| c(X0) != X1 ) )
| ~ test(X0) ),
inference(nnf_transformation,[],[f19]) ).
fof(f29,plain,
? [X0,X1,X2] :
( ( ~ leq(X0,X1)
| ~ leq(multiplication(c(X2),X0),zero)
| ~ leq(X0,multiplication(X2,X1)) )
& ( ( leq(X0,X1)
& leq(multiplication(c(X2),X0),zero) )
| leq(X0,multiplication(X2,X1)) )
& test(X2) ),
inference(nnf_transformation,[],[f21]) ).
fof(f30,plain,
? [X0,X1,X2] :
( ( ~ leq(X0,X1)
| ~ leq(multiplication(c(X2),X0),zero)
| ~ leq(X0,multiplication(X2,X1)) )
& ( ( leq(X0,X1)
& leq(multiplication(c(X2),X0),zero) )
| leq(X0,multiplication(X2,X1)) )
& test(X2) ),
inference(flattening,[],[f29]) ).
fof(f31,plain,
( ( ~ leq(sK1,sK2)
| ~ leq(multiplication(c(sK3),sK1),zero)
| ~ leq(sK1,multiplication(sK3,sK2)) )
& ( ( leq(sK1,sK2)
& leq(multiplication(c(sK3),sK1),zero) )
| leq(sK1,multiplication(sK3,sK2)) )
& test(sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3)],[f30]) ).
fof(f32,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f33,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f34,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f35,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f36,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f38,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f39,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f40,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f42,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f43,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(cnf_transformation,[],[f22]) ).
fof(f44,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f45,plain,
! [X0] :
( complement(sK0(X0),X0)
| ~ test(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f46,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| test(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f47,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(cnf_transformation,[],[f27]) ).
fof(f48,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X1,X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f49,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f50,plain,
! [X0,X1] :
( zero != multiplication(X1,X0)
| zero != multiplication(X0,X1)
| complement(X1,X0)
| addition(X0,X1) != one ),
inference(cnf_transformation,[],[f27]) ).
fof(f51,plain,
! [X0,X1] :
( complement(X0,X1)
| c(X0) != X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f52,plain,
! [X0,X1] :
( ~ complement(X0,X1)
| c(X0) = X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f54,plain,
test(sK3),
inference(cnf_transformation,[],[f31]) ).
fof(f55,plain,
( leq(multiplication(c(sK3),sK1),zero)
| leq(sK1,multiplication(sK3,sK2)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f56,plain,
( leq(sK1,sK2)
| leq(sK1,multiplication(sK3,sK2)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f57,plain,
( ~ leq(sK1,sK2)
| ~ leq(multiplication(c(sK3),sK1),zero)
| ~ leq(sK1,multiplication(sK3,sK2)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f58,plain,
! [X0] :
( complement(X0,c(X0))
| ~ test(X0) ),
inference(equality_resolution,[],[f51]) ).
fof(f59,definition,
sF4 = c(sK3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f60,plain,
c(sK3) = sF4,
inference(reorient_equations,[],[f59]) ).
fof(f61,definition,
sF5 = multiplication(sF4,sK1),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f62,plain,
multiplication(sF4,sK1) = sF5,
inference(reorient_equations,[],[f61]) ).
fof(f63,definition,
sF6 = multiplication(sK3,sK2),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f64,plain,
multiplication(sK3,sK2) = sF6,
inference(reorient_equations,[],[f63]) ).
fof(f65,plain,
( ~ leq(sF5,zero)
| ~ leq(sK1,sK2)
| ~ leq(sK1,sF6) ),
inference(definition_folding,[],[f57,f64,f62,f60]) ).
fof(f66,plain,
( leq(sK1,sK2)
| leq(sK1,sF6) ),
inference(definition_folding,[],[f56,f64]) ).
fof(f67,plain,
( leq(sF5,zero)
| leq(sK1,sF6) ),
inference(definition_folding,[],[f55,f64,f62,f60]) ).
fof(f71,plain,
( complement(sK3,sF4)
| ~ test(sK3) ),
inference(superposition,[],[f58,f60]) ).
fof(f72,plain,
complement(sK3,sF4),
inference(forward_subsumption_resolution,[],[f71,f54]) ).
fof(f76,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f34,f32]) ).
fof(f77,plain,
test(sF4),
inference(resolution,[],[f72,f46]) ).
fof(f78,plain,
( leq(sK1,sF6)
| sK2 = addition(sK1,sK2) ),
inference(resolution,[],[f43,f66]) ).
fof(f79,plain,
( zero = addition(sF5,zero)
| leq(sK1,sF6) ),
inference(resolution,[],[f43,f67]) ).
fof(f80,plain,
( leq(sK1,sF6)
| zero = sF5 ),
inference(forward_demodulation,[],[f79,f34]) ).
fof(f81,plain,
! [X0] :
( zero != X0
| leq(X0,zero) ),
inference(superposition,[],[f44,f34]) ).
fof(f86,plain,
( sF6 = addition(sK1,sF6)
| zero = sF5 ),
inference(resolution,[],[f80,f43]) ).
fof(f87,plain,
! [X0] :
( ~ test(X0)
| one = addition(X0,sK0(X0)) ),
inference(resolution,[],[f47,f45]) ).
fof(f89,plain,
one = addition(sF4,sK3),
inference(resolution,[],[f47,f72]) ).
fof(f90,plain,
one = addition(sK3,sF4),
inference(forward_demodulation,[],[f89,f32]) ).
fof(f93,plain,
! [X0] :
( ~ test(X0)
| zero = multiplication(sK0(X0),X0) ),
inference(resolution,[],[f48,f45]) ).
fof(f95,plain,
zero = multiplication(sK3,sF4),
inference(resolution,[],[f48,f72]) ).
fof(f96,plain,
! [X0] :
( ~ test(X0)
| zero = multiplication(X0,sK0(X0)) ),
inference(resolution,[],[f49,f45]) ).
fof(f98,plain,
zero = multiplication(sF4,sK3),
inference(resolution,[],[f49,f72]) ).
fof(f104,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f33,f35]) ).
fof(f117,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1)),
inference(superposition,[],[f32,f33]) ).
fof(f120,plain,
( sK2 = addition(sK1,sK2)
| sF6 = addition(sK1,sF6) ),
inference(resolution,[],[f78,f43]) ).
fof(f129,plain,
! [X0] : multiplication(zero,X0) = multiplication(sF4,multiplication(sK3,X0)),
inference(superposition,[],[f36,f98]) ).
fof(f136,plain,
! [X0] : zero = multiplication(sF4,multiplication(sK3,X0)),
inference(forward_demodulation,[],[f129,f42]) ).
fof(f142,plain,
zero = multiplication(sF4,sF6),
inference(superposition,[],[f136,f64]) ).
fof(f156,plain,
! [X0] : multiplication(sF4,addition(sK1,X0)) = addition(sF5,multiplication(sF4,X0)),
inference(superposition,[],[f39,f62]) ).
fof(f174,plain,
! [X2,X0,X1] :
( multiplication(X0,addition(X1,X2)) != multiplication(X0,X2)
| leq(multiplication(X0,X1),multiplication(X0,X2)) ),
inference(superposition,[],[f44,f39]) ).
fof(f210,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f40,f38]) ).
fof(f214,plain,
! [X0] : multiplication(addition(sF4,X0),sK1) = addition(sF5,multiplication(X0,sK1)),
inference(superposition,[],[f40,f62]) ).
fof(f287,plain,
( zero != zero
| zero != multiplication(sK3,sF4)
| complement(sF4,sK3)
| one != addition(sK3,sF4) ),
inference(superposition,[],[f50,f98]) ).
fof(f290,plain,
( zero != multiplication(sK3,sF4)
| complement(sF4,sK3)
| one != addition(sK3,sF4) ),
inference(trivial_inequality_removal,[],[f287]) ).
fof(f296,plain,
( complement(sF4,sK3)
| one != addition(sK3,sF4) ),
inference(forward_subsumption_resolution,[],[f290,f95]) ).
fof(f305,plain,
complement(sF4,sK3),
inference(forward_subsumption_resolution,[],[f296,f90]) ).
fof(f310,plain,
( sK3 = c(sF4)
| ~ test(sF4) ),
inference(resolution,[],[f305,f52]) ).
fof(f315,plain,
sK3 = c(sF4),
inference(forward_subsumption_resolution,[],[f310,f77]) ).
fof(f412,plain,
one = addition(sK3,sK0(sK3)),
inference(resolution,[],[f87,f54]) ).
fof(f413,plain,
one = addition(sF4,sK0(sF4)),
inference(resolution,[],[f87,f77]) ).
fof(f429,plain,
zero = multiplication(sK0(sF4),sF4),
inference(resolution,[],[f93,f77]) ).
fof(f452,plain,
zero = multiplication(sF4,sK0(sF4)),
inference(resolution,[],[f96,f77]) ).
fof(f496,plain,
one = addition(sK3,one),
inference(superposition,[],[f104,f412]) ).
fof(f508,plain,
one = addition(one,sK3),
inference(forward_demodulation,[],[f496,f32]) ).
fof(f833,plain,
! [X2,X0,X1] :
( addition(X0,addition(X1,X2)) != addition(X2,X0)
| leq(X1,addition(X2,X0)) ),
inference(superposition,[],[f44,f117]) ).
fof(f1018,plain,
( zero != zero
| zero != multiplication(sK0(sF4),sF4)
| complement(sF4,sK0(sF4))
| one != addition(sK0(sF4),sF4) ),
inference(superposition,[],[f50,f452]) ).
fof(f1020,plain,
( zero != multiplication(sK0(sF4),sF4)
| complement(sF4,sK0(sF4))
| one != addition(sK0(sF4),sF4) ),
inference(trivial_inequality_removal,[],[f1018]) ).
fof(f1022,plain,
( complement(sF4,sK0(sF4))
| one != addition(sK0(sF4),sF4) ),
inference(forward_subsumption_resolution,[],[f1020,f429]) ).
fof(f1029,plain,
( one != addition(sF4,sK0(sF4))
| complement(sF4,sK0(sF4)) ),
inference(forward_demodulation,[],[f1022,f32]) ).
fof(f1030,plain,
complement(sF4,sK0(sF4)),
inference(forward_subsumption_resolution,[],[f1029,f413]) ).
fof(f1070,plain,
( c(sF4) = sK0(sF4)
| ~ test(sF4) ),
inference(resolution,[],[f1030,f52]) ).
fof(f1076,plain,
c(sF4) = sK0(sF4),
inference(forward_subsumption_resolution,[],[f1070,f77]) ).
fof(f1077,plain,
sK3 = sK0(sF4),
inference(forward_demodulation,[],[f1076,f315]) ).
fof(f1088,plain,
! [X0] :
( multiplication(sF4,X0) != multiplication(sF4,addition(sK1,X0))
| leq(sF5,multiplication(sF4,X0)) ),
inference(superposition,[],[f44,f156]) ).
fof(f1362,plain,
multiplication(addition(one,sK3),sK2) = addition(sK2,sF6),
inference(superposition,[],[f210,f64]) ).
fof(f1426,plain,
multiplication(addition(one,sK3),sK2) = addition(sF6,sK2),
inference(forward_demodulation,[],[f1362,f32]) ).
fof(f1454,plain,
addition(sF6,sK2) = multiplication(one,sK2),
inference(forward_demodulation,[],[f1426,f508]) ).
fof(f1468,plain,
sK2 = addition(sF6,sK2),
inference(forward_demodulation,[],[f1454,f38]) ).
fof(f1539,plain,
! [X0,X1] : addition(sF5,addition(multiplication(X0,sK1),X1)) = addition(multiplication(addition(sF4,X0),sK1),X1),
inference(superposition,[],[f33,f214]) ).
fof(f2321,plain,
! [X2,X0,X1] :
( multiplication(X2,addition(X0,X1)) != multiplication(X2,addition(X0,X1))
| leq(multiplication(X2,X0),multiplication(X2,addition(X0,X1))) ),
inference(superposition,[],[f174,f104]) ).
fof(f2363,plain,
! [X2,X0,X1] : leq(multiplication(X2,X0),multiplication(X2,addition(X0,X1))),
inference(trivial_inequality_removal,[],[f2321]) ).
fof(f17958,plain,
( multiplication(sF4,sF6) != multiplication(sF4,sF6)
| leq(sF5,multiplication(sF4,sF6))
| zero = sF5 ),
inference(superposition,[],[f1088,f86]) ).
fof(f17996,plain,
( leq(sF5,multiplication(sF4,sF6))
| zero = sF5 ),
inference(trivial_inequality_removal,[],[f17958]) ).
fof(f18006,plain,
( leq(sF5,zero)
| zero = sF5 ),
inference(forward_demodulation,[],[f17996,f142]) ).
fof(f18013,plain,
leq(sF5,zero),
inference(forward_subsumption_resolution,[],[f18006,f81]) ).
fof(f18018,plain,
( ~ leq(sK1,sF6)
| ~ leq(sK1,sK2) ),
inference(resolution,[],[f18013,f65]) ).
fof(f18019,plain,
zero = addition(sF5,zero),
inference(resolution,[],[f18013,f43]) ).
fof(f18020,plain,
zero = sF5,
inference(forward_demodulation,[],[f18019,f34]) ).
fof(f75687,plain,
! [X0] : addition(multiplication(one,sK1),X0) = addition(sF5,addition(multiplication(sK0(sF4),sK1),X0)),
inference(superposition,[],[f1539,f413]) ).
fof(f76413,plain,
! [X0] : addition(multiplication(one,sK1),X0) = addition(sF5,addition(multiplication(sK3,sK1),X0)),
inference(forward_demodulation,[],[f75687,f1077]) ).
fof(f76695,plain,
! [X0] : addition(multiplication(one,sK1),X0) = addition(zero,addition(multiplication(sK3,sK1),X0)),
inference(forward_demodulation,[],[f76413,f18020]) ).
fof(f76928,plain,
! [X0] : addition(multiplication(sK3,sK1),X0) = addition(multiplication(one,sK1),X0),
inference(forward_demodulation,[],[f76695,f76]) ).
fof(f77105,plain,
! [X0] : addition(sK1,X0) = addition(multiplication(sK3,sK1),X0),
inference(forward_demodulation,[],[f76928,f38]) ).
fof(f77592,plain,
addition(sK1,zero) = multiplication(sK3,sK1),
inference(superposition,[],[f34,f77105]) ).
fof(f77753,plain,
sK1 = multiplication(sK3,sK1),
inference(forward_demodulation,[],[f77592,f34]) ).
fof(f79528,plain,
! [X0] : leq(sK1,multiplication(sK3,addition(sK1,X0))),
inference(superposition,[],[f2363,f77753]) ).
fof(f83145,plain,
( leq(sK1,multiplication(sK3,sK2))
| sF6 = addition(sK1,sF6) ),
inference(superposition,[],[f79528,f120]) ).
fof(f83214,plain,
( leq(sK1,sF6)
| sF6 = addition(sK1,sF6) ),
inference(forward_demodulation,[],[f83145,f64]) ).
fof(f83216,plain,
leq(sK1,sF6),
inference(forward_subsumption_resolution,[],[f83214,f44]) ).
fof(f84535,plain,
~ leq(sK1,sK2),
inference(resolution,[],[f83216,f18018]) ).
fof(f84536,plain,
sF6 = addition(sK1,sF6),
inference(resolution,[],[f83216,f43]) ).
fof(f87607,plain,
! [X0] :
( addition(X0,sF6) != addition(sF6,X0)
| leq(sK1,addition(sF6,X0)) ),
inference(superposition,[],[f833,f84536]) ).
fof(f87646,plain,
! [X0] : leq(sK1,addition(sF6,X0)),
inference(forward_subsumption_resolution,[],[f87607,f32]) ).
fof(f88811,plain,
leq(sK1,sK2),
inference(superposition,[],[f87646,f1468]) ).
fof(f88866,plain,
$false,
inference(forward_subsumption_resolution,[],[f88811,f84535]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KLE008+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n020.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 12:59:20 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.42 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
% 7.96/1.97 % (3365764)Will run a generic schedule for satisfiability detection.
% 7.96/1.97 % (3365772)dis+10_1_sil=32000:sp=arity:random_seed=2334636163:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.96/1.97 % (3365770)% WARNING: option uhcvi not known.
% 7.96/1.97 % (3365769)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1585685006_2999 on theBenchmark for (2999ds/0Mi)
% 7.96/1.97 % (3365770)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1893030341:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.96/1.97 % (3365771)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3996682691:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.96/1.97 % (3365774)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1249197796:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.96/1.97 % (3365773)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2334395028:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.96/1.97 % (3365775)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1193450938:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.96/1.98 % TRYING [1]
% 7.96/1.98 % TRYING [2]
% 7.96/1.98 % TRYING [3]
% 7.96/1.98 % TRYING [4]
% 7.96/1.98 % TRYING [5]
% 7.96/1.98 % (3365772)Instruction limit reached!
% 7.96/1.98 % (3365772)------------------------------
% 7.96/1.98 % (3365772)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.96/1.98 % (3365772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.96/1.98 % (3365772)CaDiCaL version: 2.1.3
% 7.96/1.98 % (3365772)Termination reason: Instruction limit
% 7.96/1.98 % (3365772)Termination phase: Saturation
% 7.96/1.98 % (3365772)Time elapsed: 0.034 s
% 7.96/1.98 % (3365772)Peak memory usage: 13 MB
% 7.96/1.98 % (3365772)Instructions burned: 104 (million)
% 7.96/1.98 % (3365783)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2152600542:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 7.96/1.98 % TRYING [1]
% 7.96/1.98 % TRYING [2]
% 7.96/1.98 % TRYING [3]
% 7.96/1.98 % TRYING [4]
% 7.96/1.98 % TRYING [5]
% 7.96/1.98 % (3365773)Instruction limit reached!
% 7.96/1.98 % (3365773)------------------------------
% 7.96/1.98 % (3365773)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.96/1.98 % (3365773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.96/1.98 % (3365773)CaDiCaL version: 2.1.3
% 7.96/1.98 % (3365773)Termination reason: Instruction limit
% 7.96/1.98 % (3365773)Termination phase: Saturation
% 7.96/1.98 % (3365773)Time elapsed: 0.068 s
% 7.96/1.98 % (3365773)Peak memory usage: 13 MB
% 7.96/1.98 % (3365773)Instructions burned: 117 (million)
% 7.96/1.98 % (3365774)Instruction limit reached!
% 7.96/1.98 % (3365774)------------------------------
% 7.96/1.98 % (3365774)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.96/1.98 % (3365774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.96/1.98 % (3365774)CaDiCaL version: 2.1.3
% 7.96/1.98 % (3365774)Termination reason: Instruction limit
% 7.96/1.98 % (3365774)Termination phase: Saturation
% 7.96/1.98 % (3365774)Time elapsed: 0.072 s
% 7.96/1.98 % (3365774)Peak memory usage: 13 MB
% 7.96/1.98 % (3365774)Instructions burned: 131 (million)
% 7.96/1.98 % TRYING [6]
% 7.96/1.98 % (3365785)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4030370010:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 7.96/1.98 % (3365786)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=1205733535:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 7.96/1.98 % TRYING [6]
% 7.96/1.98 % (3365775)Instruction limit reached!
% 7.96/1.98 % (3365775)------------------------------
% 7.96/1.98 % (3365775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.96/1.98 % (3365775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.96/1.98 % (3365775)CaDiCaL version: 2.1.3
% 7.96/1.98 % (3365775)Termination reason: Instruction limit
% 7.96/1.98 % (3365775)Termination phase: Saturation
% 7.96/1.98 % (3365775)Time elapsed: 0.103 s
% 7.96/1.98 % (3365775)Peak memory usage: 13 MB
% 7.96/1.98 % (3365775)Instructions burned: 159 (million)
% 7.96/1.98 % (3365789)ott-21_1_sil=16000:fs=off:random_seed=29120247:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.96/1.98 % (3365785)Instruction limit reached!
% 7.96/1.98 % (3365785)------------------------------
% 7.96/1.98 % (3365785)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.64/5.13 % (3365785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.64/5.13 % (3365785)CaDiCaL version: 2.1.3
% 32.64/5.13 % (3365785)Termination reason: Instruction limit
% 32.64/5.13 % (3365785)Termination phase: Saturation
% 32.64/5.13 % (3365785)Time elapsed: 0.086 s
% 32.64/5.13 % (3365785)Peak memory usage: 13 MB
% 32.64/5.13 % (3365785)Instructions burned: 131 (million)
% 32.64/5.13 % (3365791)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1137879019:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 32.64/5.13 % TRYING [7]
% 32.64/5.13 % (3365789)Instruction limit reached!
% 32.64/5.13 % (3365789)------------------------------
% 32.64/5.13 % (3365789)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.64/5.13 % (3365789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.64/5.13 % (3365789)CaDiCaL version: 2.1.3
% 32.64/5.13 % (3365789)Termination reason: Instruction limit
% 32.64/5.13 % (3365789)Termination phase: Saturation
% 32.64/5.13 % (3365789)Time elapsed: 0.076 s
% 32.64/5.13 % (3365789)Peak memory usage: 12 MB
% 32.64/5.13 % (3365789)Instructions burned: 181 (million)
% 32.64/5.13 % (3365783)Instruction limit reached!
% 32.64/5.13 % (3365783)------------------------------
% 32.64/5.13 % (3365783)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.64/5.13 % (3365783)Linked with Z3 % TRYING [7]
% 32.64/5.13 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.64/5.13 % (3365783)CaDiCaL version: 2.1.3
% 32.64/5.13 % (3365783)Termination reason: Instruction limit
% 32.64/5.13 % (3365783)Termination phase: Finite model building constraint generation
% 32.64/5.13 % (3365783)Time elapsed: 0.178 s
% 32.64/5.13 % (3365783)Peak memory usage: 30 MB
% 32.64/5.13 % (3365783)Instructions burned: 716 (million)
% 32.64/5.13 % (3365793)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1494266166:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 32.64/5.13 % TRYING [1]
% 32.64/5.13 % TRYING [2]
% 32.64/5.13 % TRYING [3]
% 32.64/5.13 % (3365794)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1182738628:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 32.64/5.13 % TRYING [4]
% 32.64/5.13 % TRYING [5]
% 32.64/5.13 % TRYING [6]
% 32.64/5.13 % (3365786)Instruction limit reached!
% 32.64/5.13 % (3365786)------------------------------
% 32.64/5.13 % (3365786)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.64/5.13 % (3365786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.64/5.13 % (3365786)CaDiCaL version: 2.1.3
% 32.64/5.13 % (3365786)Termination reason: Instruction limit
% 32.64/5.13 % (3365786)Termination phase: Saturation
% 32.64/5.13 % (3365786)Time elapsed: 0.340 s
% 32.64/5.13 % (3365786)Peak memory usage: 17 MB
% 32.64/5.13 % (3365786)Instructions burned: 685 (million)
% 32.64/5.13 % (3365797)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1386894930:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 32.64/5.13 % (3365791)Instruction limit reached!
% 32.64/5.13 % (3365791)------------------------------
% 32.64/5.13 % (3365791)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.64/5.13 % (3365791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.64/5.13 % (3365791)CaDiCaL version: 2.1.3
% 32.64/5.13 % (3365791)Termination reason: Instruction limit
% 32.64/5.13 % (3365791)Termination phase: Saturation
% 32.64/5.13 % (3365791)Time elapsed: 0.289 s
% 32.64/5.13 % (3365791)Peak memory usage: 16 MB
% 32.64/5.13 % (3365791)Instructions burned: 478 (million)
% 32.64/5.13 % (3365799)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=4094132547:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 32.64/5.13 % TRYING [8]
% 32.64/5.13 % (3365794)Instruction limit reached!
% 32.64/5.13 % (3365794)------------------------------
% 32.64/5.13 % (3365794)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.64/5.13 % (3365794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.64/5.13 % (3365794)CaDiCaL version: 2.1.3
% 32.64/5.13 % (3365794)Termination reason: Instruction limit
% 32.64/5.13 % (3365794)Termination phase: Saturation
% 32.64/5.13 % (3365794)Time elapsed: 0.334 s
% 32.64/5.13 % (3365794)Peak memory usage: 17 MB
% 32.64/5.13 % (3365794)Instructions burned: 1180 (million)
% 32.64/5.13 % (3365793)Instruction limit reached!
% 32.64/5.13 % (3365793)------------------------------
% 32.64/5.13 % (3365793)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.64/5.13 % (3365793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.64/5.13 % (3365793)CaDiCaL version: 2.1.3
% 32.64/5.13 % (3365793)Termination reason: Instruction limit
% 32.64/5.13 % (3365793)Termination phase: Finite model building SAT solving
% 32.64/5.13 % (3365793)Time elapsed: 0.346 s
% 32.64/5.13 % (3365793)Peak memory usage: 24 MB
% 32.64/5.13 % (3365793)Instructions burned: 866 (million)
% 32.64/5.13 % TRYING [14]
% 32.64/5.13 % (3365801)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=4020900723:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 32.64/5.13 % (3365802)fmb+10_1_sil=64000:random_seed=1243385048:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 32.64/5.13 % TRYING [1]
% 32.64/5.13 % TRYING [2]
% 32.64/5.13 % TRYING [3]
% 32.64/5.13 % TRYING [4]
% 32.64/5.13 % TRYING [5]
% 32.64/5.13 % TRYING [6]
% 32.64/5.13 % (3365797)Instruction limit reached!
% 32.64/5.13 % (3365797)------------------------------
% 32.64/5.13 % (3365797)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.64/5.13 % (3365797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.64/5.13 % (3365797)CaDiCaL version: 2.1.3
% 32.64/5.13 % (3365797)Termination reason: Instruction limit
% 32.64/5.13 % (3365797)Termination phase: Finite model building constraint generation
% 32.64/5.13 % (3365797)Time elapsed: 0.340 s
% 32.64/5.13 % (3365797)Peak memory usage: 81 MB
% 32.64/5.13 % (3365797)Instructions burned: 892 (million)
% 32.64/5.13 % (3365805)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3954295947:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 32.64/5.13 % TRYING [20]
% 32.64/5.13 % (3365801)Instruction limit reached!
% 32.64/5.13 % (3365801)------------------------------
% 32.64/5.13 % (3365801)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.64/5.13 % (3365801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.64/5.13 % (3365801)CaDiCaL version: 2.1.3
% 32.64/5.13 % (3365801)Termination reason: Instruction limit
% 32.64/5.13 % (3365801)Termination phase: Saturation
% 32.64/5.13 % (3365801)Time elapsed: 0.273 s
% 32.64/5.13 % (3365801)Peak memory usage: 20 MB
% 32.64/5.13 % (3365801)Instructions burned: 879 (million)
% 32.64/5.13 % (3365799)Instruction limit reached!
% 32.64/5.13 % (3365799)------------------------------
% 32.64/5.13 % (3365799)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.64/5.13 % (3365799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.64/5.13 % (3365799)CaDiCaL version: 2.1.3
% 32.64/5.13 % (3365799)Termination reason: Instruction limit
% 32.64/5.13 % (3365799)Termination phase: Saturation
% 32.64/5.13 % (3365799)Time elapsed: 0.350 s
% 32.64/5.13 % (3365799)Peak memory usage: 18 MB
% 32.64/5.13 % (3365799)Instructions burned: 693 (million)
% 32.64/5.13 % (3365807)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=550513226:fmbsr=1.7:i=920_2991 on theBenchmark for (2991ds/920Mi)
% 32.64/5.13 % TRYING [8]
% 32.64/5.13 % (3365808)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1774938291:i=5131_2991 on theBenchmark for (2991ds/5131Mi)
% 32.64/5.13 % TRYING [7]
% 32.64/5.13 % (3365807)Instruction limit reached!
% 32.64/5.13 % (3365807)------------------------------
% 32.64/5.13 % (3365807)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.64/5.13 % (3365807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.64/5.13 % (3365807)CaDiCaL version: 2.1.3
% 32.64/5.13 % (3365807)Termination reason: Instruction limit
% 32.64/5.13 % (3365807)Termination phase: Finite model building constraint generation
% 32.64/5.13 % (3365807)Time elapsed: 0.195 s
% 32.64/5.13 % (3365807)Peak memory usage: 65 MB
% 32.64/5.13 % (3365807)Instructions burned: 924 (million)
% 32.64/5.13 % (3365811)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2941270910:i=1472:ins=7:fdi=8:gsp=on_2989 on theBenchmark for (2989ds/1472Mi)
% 32.64/5.13 % TRYING [9]
% 32.64/5.13 % TRYING [8]
% 32.64/5.13 % (3365811)Instruction limit reached!
% 32.64/5.13 % (3365811)------------------------------
% 32.64/5.13 % (3365811)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.64/5.13 % (3365811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.64/5.13 % (3365811)CaDiCaL version: 2.1.3
% 32.64/5.13 % (3365811)Termination reason: Instruction limit
% 32.64/5.13 % (3365811)Termination phase: Saturation
% 32.64/5.13 % (3365811)Time elapsed: 0.428 s
% 32.64/5.13 % (3365811)Peak memory usage: 34 MB
% 32.64/5.13 % (3365811)Instructions burned: 1474 (million)
% 32.64/5.13 % (3365813)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=235221316:i=6324_2984 on theBenchmark for (2984ds/6324Mi)
% 32.64/5.13 % TRYING [77]
% 32.64/5.13 % TRYING [9]
% 32.64/5.13 % (3365813)Instruction limit reached!
% 32.64/5.13 % (3365813)------------------------------
% 32.64/5.13 % (3365813)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.64/5.13 % (3365813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.64/5.13 % (3365813)CaDiCaL version: 2.1.3
% 32.64/5.13 % (3365813)Termination reason: Instruction limit
% 32.64/5.13 % (3365813)Termination phase: Finite model building constraint generation
% 32.64/5.13 % (3365813)Time elapsed: 1.299 s
% 32.64/5.13 % (3365813)Peak memory usage: 466 MB
% 32.64/5.13 % (3365813)Instructions burned: 6329 (million)
% 32.64/5.13 % (3365815)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1073079242:fmbsr=2.30978:i=2174_2971 on theBenchmark for (2971ds/2174Mi)
% 32.64/5.13 % TRYING [16]
% 32.64/5.13 % (3365815)Instruction limit reached!
% 32.64/5.13 % (3365815)------------------------------
% 32.64/5.13 % (3365815)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.64/5.13 % (3365815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.64/5.13 % (3365815)CaDiCaL version: 2.1.3
% 32.64/5.13 % (3365815)Termination reason: Instruction limit
% 32.64/5.13 % (3365815)Termination phase: Finite model building constraint generation
% 32.64/5.13 % (3365815)Time elapsed: 0.404 s
% 32.64/5.13 % (3365815)Peak memory usage: 135 MB
% 32.64/5.13 % (3365815)Instructions burned: 2175 (million)
% 32.64/5.13 % (3365817)ott-2_1_sil=16000:newcnf=on:random_seed=1555414970:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2966 on theBenchmark for (2966ds/869Mi)
% 32.64/5.13 % (3365817)Instruction limit reached!
% 32.64/5.13 % (3365817)------------------------------
% 32.64/5.13 % (3365817)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.64/5.13 % (3365817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.64/5.13 % (3365817)CaDiCaL version: 2.1.3
% 32.64/5.13 % (3365817)Termination reason: Instruction limit
% 32.64/5.13 % (3365817)Termination phase: Saturation
% 32.64/5.13 % (3365817)Time elapsed: 0.268 s
% 32.64/5.13 % (3365817)Peak memory usage: 21 MB
% 32.64/5.13 % (3365817)Instructions burned: 871 (million)
% 32.64/5.13 % (3365819)ott+10_1_sil=32000:tgt=ground:random_seed=964500928:i=5114:av=off_2964 on theBenchmark for (2964ds/5114Mi)
% 32.64/5.13 % (3365808)Instruction limit reached!
% 32.64/5.13 % (3365808)------------------------------
% 32.64/5.13 % (3365808)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.64/5.13 % (3365808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.64/5.13 % (3365808)CaDiCaL version: 2.1.3
% 32.64/5.13 % (3365808)Termination reason: Instruction limit
% 32.64/5.13 % (3365808)Termination phase: Saturation
% 32.64/5.13 % (3365808)Time elapsed: 2.711 s
% 32.64/5.13 % (3365808)Peak memory usage: 47 MB
% 32.64/5.13 % (3365808)Instructions burned: 5132 (million)
% 32.64/5.13 % (3365821)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3076276039:i=54282_2963 on theBenchmark for (2963ds/54282Mi)
% 32.64/5.13 % TRYING [1]
% 32.64/5.13 % TRYING [2]
% 32.64/5.13 % TRYING [3]
% 32.64/5.13 % TRYING [4]
% 32.64/5.13 % TRYING [5]
% 32.64/5.13 % TRYING [6]
% 32.64/5.13 % TRYING [10]
% 32.64/5.13 % TRYING [7]
% 32.64/5.13 % TRYING [8]
% 32.64/5.13 % (3365805)Instruction limit reached!
% 32.64/5.13 % (3365805)------------------------------
% 32.64/5.13 % (3365805)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.64/5.13 % (3365805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.64/5.13 % (3365805)CaDiCaL version: 2.1.3
% 32.64/5.13 % (3365805)Termination reason: Instruction limit
% 32.64/5.13 % (3365805)Termination phase: Finite model building constraint generation
% 32.64/5.13 % (3365805)Time elapsed: 3.456 s
% 32.64/5.13 % (3365805)Peak memory usage: 666 MB
% 32.64/5.13 % (3365805)Instructions burned: 9515 (million)
% 32.64/5.13 % (3365823)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=728226506:i=3512:aac=none_2956 on theBenchmark for (2956ds/3512Mi)
% 32.64/5.13 % (3365819) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3365764-3365819"...
% 32.64/5.13 % (3365819)...printing done.
% 32.64/5.13 % (3365819)Refutation found. Thanks to Tanya!
% 32.64/5.13 % SZS status Theorem for theBenchmark
% 32.64/5.13 % SZS output start Proof for theBenchmark
% See solution above
% 32.64/5.14 % (3365819)------------------------------
% 32.64/5.14 % (3365819)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.64/5.14 % (3365819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.64/5.14 % (3365819)CaDiCaL version: 2.1.3
% 32.64/5.14 % (3365819)Termination reason: Refutation
% 32.64/5.14 % (3365819)Time elapsed: 1.080 s
% 32.64/5.14 % (3365819)Peak memory usage: 34 MB
% 32.64/5.14 % (3365819)Instructions burned: 3551 (million)
% 32.64/5.14 % (3365764)Success in time 4.709 s
% 32.64/5.14 % Vampire exiting
%------------------------------------------------------------------------------