%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KLE011+2 : 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 : n006.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 11:40:37 AM UTC 2026
% Result : Theorem 2.45s 0.96s
% Output : Refutation 2.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 28
% Syntax : Number of formulae : 245 ( 171 unt; 12 def)
% Number of atoms : 370 ( 209 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 221 ( 96 ~; 91 |; 22 &)
% ( 8 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 13 con; 0-2 aty)
% Number of variables : 216 ( 0 sgn 209 !; 7 ?)
% 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(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(f10,axiom,
! [X0] : multiplication(X0,zero) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',right_annihilation) ).
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] :
( ( test(X1)
& test(X0) )
=> ( leq(one,addition(addition(multiplication(addition(X1,c(X1)),X0),multiplication(addition(X0,c(X0)),X1)),multiplication(c(X0),c(X1))))
& leq(addition(addition(multiplication(addition(X1,c(X1)),X0),multiplication(addition(X0,c(X0)),X1)),multiplication(c(X0),c(X1))),one) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0,X1] :
( ( test(X1)
& test(X0) )
=> ( leq(one,addition(addition(multiplication(addition(X1,c(X1)),X0),multiplication(addition(X0,c(X0)),X1)),multiplication(c(X0),c(X1))))
& leq(addition(addition(multiplication(addition(X1,c(X1)),X0),multiplication(addition(X0,c(X0)),X1)),multiplication(c(X0),c(X1))),one) ) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
! [X0,X1] :
( addition(X0,X1) = X1
=> leq(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f12]) ).
fof(f20,plain,
! [X0,X1] :
( leq(X0,X1)
| addition(X0,X1) != X1 ),
inference(ennf_transformation,[],[f19]) ).
fof(f21,plain,
! [X0,X1] :
( ( c(X0) = X1
<=> complement(X0,X1) )
| ~ test(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f23,plain,
? [X0,X1] :
( ( ~ leq(one,addition(addition(multiplication(addition(X1,c(X1)),X0),multiplication(addition(X0,c(X0)),X1)),multiplication(c(X0),c(X1))))
| ~ leq(addition(addition(multiplication(addition(X1,c(X1)),X0),multiplication(addition(X0,c(X0)),X1)),multiplication(c(X0),c(X1))),one) )
& test(X1)
& test(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f24,plain,
? [X0,X1] :
( ( ~ leq(one,addition(addition(multiplication(addition(X1,c(X1)),X0),multiplication(addition(X0,c(X0)),X1)),multiplication(c(X0),c(X1))))
| ~ leq(addition(addition(multiplication(addition(X1,c(X1)),X0),multiplication(addition(X0,c(X0)),X1)),multiplication(c(X0),c(X1))),one) )
& test(X1)
& test(X0) ),
inference(flattening,[],[f23]) ).
fof(f25,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( ? [X1] : complement(X1,X0)
| ~ test(X0) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f26,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( ? [X2] : complement(X2,X0)
| ~ test(X0) ) ),
inference(rectify,[],[f25]) ).
fof(f27,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))],[f26]) ).
fof(f28,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(f29,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,[],[f28]) ).
fof(f30,plain,
! [X0,X1] :
( ( ( c(X0) = X1
| ~ complement(X0,X1) )
& ( complement(X0,X1)
| c(X0) != X1 ) )
| ~ test(X0) ),
inference(nnf_transformation,[],[f21]) ).
fof(f31,plain,
( ( ~ leq(one,addition(addition(multiplication(addition(sK2,c(sK2)),sK1),multiplication(addition(sK1,c(sK1)),sK2)),multiplication(c(sK1),c(sK2))))
| ~ leq(addition(addition(multiplication(addition(sK2,c(sK2)),sK1),multiplication(addition(sK1,c(sK1)),sK2)),multiplication(c(sK1),c(sK2))),one) )
& test(sK2)
& test(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X0,sK1),skolemize(X1,sK2)],[f24]) ).
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(f37,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
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(f41,plain,
! [X0] : zero = multiplication(X0,zero),
inference(cnf_transformation,[],[f10]) ).
fof(f42,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f43,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f44,plain,
! [X0] :
( ~ test(X0)
| complement(sK0(X0),X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f45,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| test(X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f46,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(cnf_transformation,[],[f29]) ).
fof(f48,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f49,plain,
! [X0,X1] :
( zero != multiplication(X1,X0)
| zero != multiplication(X0,X1)
| complement(X1,X0)
| addition(X0,X1) != one ),
inference(cnf_transformation,[],[f29]) ).
fof(f50,plain,
! [X0,X1] :
( complement(X0,X1)
| c(X0) != X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f53,plain,
test(sK1),
inference(cnf_transformation,[],[f31]) ).
fof(f54,plain,
test(sK2),
inference(cnf_transformation,[],[f31]) ).
fof(f55,plain,
( ~ leq(one,addition(addition(multiplication(addition(sK2,c(sK2)),sK1),multiplication(addition(sK1,c(sK1)),sK2)),multiplication(c(sK1),c(sK2))))
| ~ leq(addition(addition(multiplication(addition(sK2,c(sK2)),sK1),multiplication(addition(sK1,c(sK1)),sK2)),multiplication(c(sK1),c(sK2))),one) ),
inference(cnf_transformation,[],[f31]) ).
fof(f56,plain,
! [X0] :
( ~ test(X0)
| complement(X0,c(X0)) ),
inference(equality_resolution,[],[f50]) ).
fof(f57,definition,
sF3 = c(sK2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f58,plain,
c(sK2) = sF3,
inference(reorient_equations,[],[f57]) ).
fof(f59,definition,
sF4 = addition(sK2,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f60,plain,
addition(sK2,sF3) = 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 = c(sK1),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f64,plain,
c(sK1) = sF6,
inference(reorient_equations,[],[f63]) ).
fof(f65,definition,
sF7 = addition(sK1,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f66,plain,
addition(sK1,sF6) = sF7,
inference(reorient_equations,[],[f65]) ).
fof(f67,definition,
sF8 = multiplication(sF7,sK2),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f68,plain,
multiplication(sF7,sK2) = sF8,
inference(reorient_equations,[],[f67]) ).
fof(f69,definition,
sF9 = addition(sF5,sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f70,plain,
addition(sF5,sF8) = sF9,
inference(reorient_equations,[],[f69]) ).
fof(f71,definition,
sF10 = multiplication(sF6,sF3),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f72,plain,
multiplication(sF6,sF3) = sF10,
inference(reorient_equations,[],[f71]) ).
fof(f73,definition,
sF11 = addition(sF9,sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f74,plain,
addition(sF9,sF10) = sF11,
inference(reorient_equations,[],[f73]) ).
fof(f75,plain,
( ~ leq(one,sF11)
| ~ leq(sF11,one) ),
inference(definition_folding,[],[f55,f74,f72,f58,f64,f70,f68,f66,f64,f62,f60,f58,f74,f72,f58,f64,f70,f68,f66,f64,f62,f60,f58]) ).
fof(f77,definition,
( spl12_1
<=> leq(sF11,one) ),
introduced(definition,[new_symbols(definition,[spl12_1])],[avatar_definition]) ).
fof(f79,plain,
( ~ leq(sF11,one)
| spl12_1 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f81,definition,
( spl12_2
<=> leq(one,sF11) ),
introduced(definition,[new_symbols(definition,[spl12_2])],[avatar_definition]) ).
fof(f83,plain,
( ~ leq(one,sF11)
| spl12_2 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f84,plain,
( ~ spl12_1
| ~ spl12_2 ),
inference(avatar_split_clause,[],[f75,f81,f77]) ).
fof(f85,plain,
sF4 = addition(sF3,sK2),
inference(forward_demodulation,[],[f60,f32]) ).
fof(f86,plain,
sF7 = addition(sF6,sK1),
inference(forward_demodulation,[],[f66,f32]) ).
fof(f92,plain,
complement(sK1,c(sK1)),
inference(resolution,[],[f56,f53]) ).
fof(f93,plain,
complement(sK2,c(sK2)),
inference(resolution,[],[f56,f54]) ).
fof(f95,plain,
complement(sK2,sF3),
inference(forward_demodulation,[],[f93,f58]) ).
fof(f96,plain,
complement(sK1,sF6),
inference(forward_demodulation,[],[f92,f64]) ).
fof(f101,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f34,f32]) ).
fof(f105,plain,
! [X0] :
( X0 != X0
| leq(X0,X0) ),
inference(superposition,[],[f43,f35]) ).
fof(f112,plain,
! [X0] : leq(X0,X0),
inference(trivial_inequality_removal,[],[f105]) ).
fof(f152,plain,
one = addition(sF3,sK2),
inference(resolution,[],[f46,f95]) ).
fof(f153,plain,
one = addition(sF6,sK1),
inference(resolution,[],[f46,f96]) ).
fof(f154,plain,
one = sF7,
inference(forward_demodulation,[],[f153,f86]) ).
fof(f155,plain,
one = sF4,
inference(forward_demodulation,[],[f152,f85]) ).
fof(f162,plain,
! [X0] : multiplication(sF7,X0) = X0,
inference(superposition,[],[f38,f154]) ).
fof(f167,plain,
zero = multiplication(sF3,sK2),
inference(resolution,[],[f48,f95]) ).
fof(f170,plain,
sF4 = sF7,
inference(superposition,[],[f154,f155]) ).
fof(f171,plain,
! [X0] : multiplication(sF4,X0) = X0,
inference(superposition,[],[f38,f155]) ).
fof(f172,plain,
! [X0] : multiplication(X0,sF4) = X0,
inference(superposition,[],[f37,f155]) ).
fof(f198,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f33,f35]) ).
fof(f200,plain,
! [X2,X0,X1] : addition(addition(X0,X1),X2) = addition(X1,addition(X0,X2)),
inference(superposition,[],[f33,f32]) ).
fof(f202,plain,
! [X0] : addition(sF3,addition(sK2,X0)) = addition(sF4,X0),
inference(superposition,[],[f33,f85]) ).
fof(f203,plain,
! [X0] : addition(sF5,addition(sF8,X0)) = addition(sF9,X0),
inference(superposition,[],[f33,f70]) ).
fof(f204,plain,
! [X0] : addition(sF6,addition(sK1,X0)) = addition(sF7,X0),
inference(superposition,[],[f33,f86]) ).
fof(f205,plain,
! [X0] : addition(sF9,addition(sF10,X0)) = addition(sF11,X0),
inference(superposition,[],[f33,f74]) ).
fof(f211,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X1,addition(X0,X1))),
inference(superposition,[],[f35,f33]) ).
fof(f214,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1)),
inference(superposition,[],[f32,f33]) ).
fof(f215,plain,
! [X0] : addition(sF4,X0) = addition(sF6,addition(sK1,X0)),
inference(forward_demodulation,[],[f204,f170]) ).
fof(f224,plain,
! [X0] : multiplication(sF4,multiplication(sK1,X0)) = multiplication(sF5,X0),
inference(superposition,[],[f36,f62]) ).
fof(f225,plain,
! [X0] : multiplication(sF6,multiplication(sF3,X0)) = multiplication(sF10,X0),
inference(superposition,[],[f36,f72]) ).
fof(f234,plain,
! [X0] : multiplication(sK1,X0) = multiplication(sF5,X0),
inference(forward_demodulation,[],[f224,f171]) ).
fof(f244,plain,
! [X0] : multiplication(X0,sF4) = addition(multiplication(X0,sF3),multiplication(X0,sK2)),
inference(superposition,[],[f39,f85]) ).
fof(f263,plain,
! [X0] : addition(multiplication(X0,sF3),multiplication(X0,sK2)) = X0,
inference(forward_demodulation,[],[f244,f172]) ).
fof(f278,plain,
sF8 = multiplication(sF4,sK2),
inference(superposition,[],[f68,f170]) ).
fof(f279,plain,
sK2 = sF8,
inference(forward_demodulation,[],[f278,f171]) ).
fof(f286,plain,
! [X0] : addition(multiplication(sF5,X0),multiplication(sF8,X0)) = multiplication(sF9,X0),
inference(superposition,[],[f40,f70]) ).
fof(f287,plain,
! [X0] : multiplication(sF7,X0) = addition(multiplication(sF6,X0),multiplication(sK1,X0)),
inference(superposition,[],[f40,f86]) ).
fof(f288,plain,
! [X0] : addition(multiplication(sF9,X0),multiplication(sF10,X0)) = multiplication(sF11,X0),
inference(superposition,[],[f40,f74]) ).
fof(f303,plain,
! [X0] : multiplication(sF11,X0) = addition(multiplication(sF9,X0),multiplication(sF6,multiplication(sF3,X0))),
inference(forward_demodulation,[],[f288,f225]) ).
fof(f304,plain,
! [X0] : multiplication(sF7,X0) = addition(multiplication(sF6,X0),multiplication(sF5,X0)),
inference(forward_demodulation,[],[f287,f234]) ).
fof(f313,plain,
! [X0] : multiplication(sF11,X0) = addition(multiplication(sF6,multiplication(sF3,X0)),multiplication(sF9,X0)),
inference(forward_demodulation,[],[f303,f32]) ).
fof(f314,plain,
! [X0] : multiplication(sF7,X0) = addition(multiplication(sF5,X0),multiplication(sF6,X0)),
inference(forward_demodulation,[],[f304,f32]) ).
fof(f320,plain,
! [X0] : multiplication(sF11,X0) = addition(multiplication(sF6,multiplication(sF3,X0)),addition(multiplication(sF5,X0),multiplication(sF8,X0))),
inference(forward_demodulation,[],[f313,f286]) ).
fof(f321,plain,
! [X0] : addition(multiplication(sF5,X0),multiplication(sF6,X0)) = X0,
inference(forward_demodulation,[],[f314,f162]) ).
fof(f330,plain,
! [X0] :
( zero != zero
| zero != multiplication(zero,X0)
| complement(X0,zero)
| one != addition(zero,X0) ),
inference(superposition,[],[f49,f41]) ).
fof(f340,plain,
! [X0] :
( zero != multiplication(zero,X0)
| complement(X0,zero)
| one != addition(zero,X0) ),
inference(trivial_inequality_removal,[],[f330]) ).
fof(f350,plain,
! [X0] :
( complement(X0,zero)
| one != addition(zero,X0) ),
inference(forward_subsumption_resolution,[],[f340,f42]) ).
fof(f363,plain,
! [X0] :
( one != X0
| complement(X0,zero) ),
inference(forward_demodulation,[],[f350,f101]) ).
fof(f388,plain,
! [X0] :
( sF7 != X0
| complement(X0,zero) ),
inference(forward_demodulation,[],[f363,f154]) ).
fof(f395,plain,
! [X0] :
( sF4 != X0
| complement(X0,zero) ),
inference(forward_demodulation,[],[f388,f170]) ).
fof(f449,definition,
( spl12_25
<=> test(zero) ),
introduced(definition,[new_symbols(definition,[spl12_25])],[avatar_definition]) ).
fof(f450,plain,
( test(zero)
| ~ spl12_25 ),
inference(avatar_component_clause,[],[f449]) ).
fof(f451,plain,
( ~ test(zero)
| spl12_25 ),
inference(avatar_component_clause,[],[f449]) ).
fof(f457,plain,
complement(sF4,zero),
inference(equality_resolution,[],[f395]) ).
fof(f486,plain,
sK1 = multiplication(sF5,one),
inference(superposition,[],[f37,f234]) ).
fof(f487,plain,
sK1 = sF5,
inference(forward_demodulation,[],[f486,f37]) ).
fof(f503,plain,
test(zero),
inference(resolution,[],[f457,f45]) ).
fof(f504,plain,
( $false
| spl12_25 ),
inference(forward_subsumption_resolution,[],[f503,f451]) ).
fof(f505,plain,
spl12_25,
inference(avatar_contradiction_clause,[],[f504]) ).
fof(f508,plain,
addition(sF6,sK1) = addition(sF4,zero),
inference(superposition,[],[f215,f34]) ).
fof(f511,plain,
! [X0] : addition(sF4,X0) = addition(sF6,addition(X0,sK1)),
inference(superposition,[],[f215,f32]) ).
fof(f520,plain,
! [X0] : addition(sF4,X0) = addition(sF6,addition(X0,sF5)),
inference(forward_demodulation,[],[f511,f487]) ).
fof(f523,plain,
sF4 = addition(sF6,sK1),
inference(forward_demodulation,[],[f508,f34]) ).
fof(f528,plain,
! [X0] : addition(sF4,X0) = addition(sF5,addition(sF6,X0)),
inference(forward_demodulation,[],[f520,f214]) ).
fof(f531,plain,
sF4 = addition(sF6,sF5),
inference(forward_demodulation,[],[f523,f487]) ).
fof(f534,plain,
sF4 = addition(sF5,sF6),
inference(forward_demodulation,[],[f531,f32]) ).
fof(f538,plain,
( complement(sK0(zero),zero)
| ~ spl12_25 ),
inference(resolution,[],[f450,f44]) ).
fof(f615,plain,
! [X0] : addition(sF4,X0) = addition(sF6,addition(sF5,X0)),
inference(superposition,[],[f215,f487]) ).
fof(f728,plain,
sF3 = addition(multiplication(sF5,sF3),sF10),
inference(superposition,[],[f321,f72]) ).
fof(f740,plain,
sF3 = addition(sF10,multiplication(sF5,sF3)),
inference(forward_demodulation,[],[f728,f32]) ).
fof(f1302,plain,
! [X0] : addition(multiplication(X0,sF3),X0) = X0,
inference(superposition,[],[f198,f263]) ).
fof(f1317,plain,
! [X0] : addition(sF6,addition(sK1,X0)) = addition(sF4,addition(sK1,X0)),
inference(superposition,[],[f215,f198]) ).
fof(f1320,plain,
! [X0] : addition(sF6,addition(sF5,X0)) = addition(sF4,addition(sF5,X0)),
inference(forward_demodulation,[],[f1317,f487]) ).
fof(f1330,plain,
! [X0] : addition(X0,multiplication(X0,sF3)) = X0,
inference(forward_demodulation,[],[f1302,f32]) ).
fof(f1333,plain,
! [X0] : addition(sF4,X0) = addition(sF4,addition(sF5,X0)),
inference(forward_demodulation,[],[f1320,f615]) ).
fof(f1335,plain,
! [X0] : addition(sF4,X0) = addition(sF3,addition(sF8,X0)),
inference(superposition,[],[f202,f279]) ).
fof(f1338,plain,
! [X0] : addition(sF4,X0) = addition(sF3,addition(X0,sK2)),
inference(superposition,[],[f202,f32]) ).
fof(f1339,plain,
! [X0] : addition(sF3,addition(sK2,X0)) = addition(sF4,addition(sK2,X0)),
inference(superposition,[],[f202,f198]) ).
fof(f1353,plain,
! [X0] : addition(sF4,addition(sF8,X0)) = addition(sF3,addition(sF8,X0)),
inference(forward_demodulation,[],[f1339,f279]) ).
fof(f1354,plain,
! [X0] : addition(sF4,X0) = addition(sF3,addition(X0,sF8)),
inference(forward_demodulation,[],[f1338,f279]) ).
fof(f1361,plain,
! [X0] : addition(sF4,X0) = addition(sF4,addition(sF8,X0)),
inference(forward_demodulation,[],[f1353,f1335]) ).
fof(f1386,plain,
sF11 = addition(sF5,addition(sF8,sF10)),
inference(superposition,[],[f74,f203]) ).
fof(f1522,plain,
sF10 = addition(multiplication(sF6,multiplication(sF3,sF3)),multiplication(sF10,sK2)),
inference(superposition,[],[f263,f225]) ).
fof(f1525,plain,
sF10 = addition(multiplication(sF6,multiplication(sF3,sF3)),multiplication(sF6,multiplication(sF3,sK2))),
inference(forward_demodulation,[],[f1522,f225]) ).
fof(f1540,plain,
sF10 = addition(multiplication(sF6,multiplication(sF3,sF3)),multiplication(sF6,zero)),
inference(forward_demodulation,[],[f1525,f167]) ).
fof(f1548,plain,
sF10 = addition(multiplication(sF6,zero),multiplication(sF6,multiplication(sF3,sF3))),
inference(forward_demodulation,[],[f1540,f32]) ).
fof(f1554,plain,
sF10 = addition(zero,multiplication(sF6,multiplication(sF3,sF3))),
inference(forward_demodulation,[],[f1548,f41]) ).
fof(f1557,plain,
sF10 = multiplication(sF6,multiplication(sF3,sF3)),
inference(forward_demodulation,[],[f1554,f101]) ).
fof(f1571,plain,
! [X2,X3,X0,X1] : addition(addition(X0,addition(X1,X2)),X3) = addition(X2,addition(addition(X0,X1),X3)),
inference(superposition,[],[f200,f33]) ).
fof(f1585,plain,
! [X0,X1] : addition(addition(sF9,addition(sF10,X0)),X1) = addition(X0,addition(sF11,X1)),
inference(superposition,[],[f200,f205]) ).
fof(f1592,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X1,addition(X0,X2)),
inference(superposition,[],[f33,f200]) ).
fof(f1617,plain,
! [X0,X1] : addition(addition(sF9,addition(sF10,X0)),X1) = addition(X0,addition(sF9,addition(sF10,X1))),
inference(forward_demodulation,[],[f1585,f205]) ).
fof(f1630,plain,
! [X2,X3,X0,X1] : addition(addition(X0,addition(X1,X2)),X3) = addition(X2,addition(X0,addition(X1,X3))),
inference(forward_demodulation,[],[f1571,f33]) ).
fof(f1640,plain,
! [X0,X1] : addition(addition(sF9,addition(sF10,X0)),X1) = addition(X0,addition(sF5,addition(sF8,addition(sF10,X1)))),
inference(forward_demodulation,[],[f1617,f203]) ).
fof(f1647,plain,
! [X2,X3,X0,X1] : addition(X0,addition(addition(X1,X2),X3)) = addition(X2,addition(X0,addition(X1,X3))),
inference(forward_demodulation,[],[f1630,f33]) ).
fof(f1654,plain,
! [X0,X1] : addition(sF9,addition(addition(sF10,X0),X1)) = addition(X0,addition(sF5,addition(sF8,addition(sF10,X1)))),
inference(forward_demodulation,[],[f1640,f33]) ).
fof(f1658,plain,
! [X2,X3,X0,X1] : addition(X0,addition(X1,addition(X2,X3))) = addition(X2,addition(X0,addition(X1,X3))),
inference(forward_demodulation,[],[f1647,f33]) ).
fof(f1662,plain,
! [X0,X1] : addition(sF5,addition(sF8,addition(addition(sF10,X0),X1))) = addition(X0,addition(sF5,addition(sF8,addition(sF10,X1)))),
inference(forward_demodulation,[],[f1654,f203]) ).
fof(f1663,plain,
! [X0,X1] : addition(sF5,addition(sF8,addition(sF10,addition(X0,X1)))) = addition(X0,addition(sF5,addition(sF8,addition(sF10,X1)))),
inference(forward_demodulation,[],[f1662,f33]) ).
fof(f1912,plain,
! [X2,X3,X0,X1] : addition(X3,addition(X0,addition(X1,X2))) = addition(X2,addition(X3,addition(X0,X1))),
inference(superposition,[],[f214,f33]) ).
fof(f1989,plain,
! [X0,X1] : addition(sF4,addition(X1,X0)) = addition(sF6,addition(X0,addition(sK1,X1))),
inference(superposition,[],[f215,f214]) ).
fof(f2016,plain,
! [X0,X1] : addition(sF9,addition(sF10,addition(X0,X1))) = addition(X0,addition(X1,sF11)),
inference(superposition,[],[f205,f214]) ).
fof(f2017,plain,
! [X0,X1] : addition(sF5,addition(sF8,addition(sF10,addition(X0,X1)))) = addition(X0,addition(X1,sF11)),
inference(forward_demodulation,[],[f2016,f203]) ).
fof(f2031,plain,
! [X0,X1] : addition(sF4,addition(X1,X0)) = addition(sF6,addition(X0,addition(sF5,X1))),
inference(forward_demodulation,[],[f1989,f487]) ).
fof(f2095,plain,
! [X0,X1] : addition(sF4,addition(X1,X0)) = addition(sF5,addition(sF6,addition(X0,X1))),
inference(forward_demodulation,[],[f2031,f1658]) ).
fof(f2123,plain,
! [X0,X1] : addition(sF4,addition(X0,X1)) = addition(sF4,addition(X1,X0)),
inference(forward_demodulation,[],[f2095,f528]) ).
fof(f2328,plain,
( one = addition(zero,sK0(zero))
| ~ spl12_25 ),
inference(resolution,[],[f538,f46]) ).
fof(f2330,plain,
( one = sK0(zero)
| ~ spl12_25 ),
inference(forward_demodulation,[],[f2328,f101]) ).
fof(f3071,plain,
( sF4 = sK0(zero)
| ~ spl12_25 ),
inference(superposition,[],[f155,f2330]) ).
fof(f5531,plain,
! [X0] : addition(sF3,X0) = addition(sF10,addition(multiplication(sF5,sF3),X0)),
inference(superposition,[],[f33,f740]) ).
fof(f5829,plain,
sF11 = addition(sF11,addition(multiplication(sF6,multiplication(sF3,sF3)),addition(multiplication(sF5,sF3),multiplication(sF8,sF3)))),
inference(superposition,[],[f1330,f320]) ).
fof(f5836,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(multiplication(X0,sF3),X1)),
inference(superposition,[],[f33,f1330]) ).
fof(f5849,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,addition(X0,multiplication(addition(X0,X1),sF3))),
inference(superposition,[],[f200,f1330]) ).
fof(f5869,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,addition(X0,addition(multiplication(X0,sF3),multiplication(X1,sF3)))),
inference(forward_demodulation,[],[f5849,f40]) ).
fof(f5881,plain,
sF11 = addition(multiplication(sF5,sF3),addition(sF11,addition(multiplication(sF6,multiplication(sF3,sF3)),multiplication(sF8,sF3)))),
inference(forward_demodulation,[],[f5829,f1658]) ).
fof(f5897,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,addition(X0,multiplication(X1,sF3))),
inference(forward_demodulation,[],[f5869,f5836]) ).
fof(f5903,plain,
sF11 = addition(sF11,addition(multiplication(sF5,sF3),addition(multiplication(sF6,multiplication(sF3,sF3)),multiplication(sF8,sF3)))),
inference(forward_demodulation,[],[f5881,f1592]) ).
fof(f5915,plain,
sF11 = addition(sF9,addition(sF10,addition(multiplication(sF5,sF3),addition(multiplication(sF6,multiplication(sF3,sF3)),multiplication(sF8,sF3))))),
inference(forward_demodulation,[],[f5903,f205]) ).
fof(f5923,plain,
sF11 = addition(sF5,addition(sF8,addition(sF10,addition(multiplication(sF5,sF3),addition(multiplication(sF6,multiplication(sF3,sF3)),multiplication(sF8,sF3)))))),
inference(forward_demodulation,[],[f5915,f203]) ).
fof(f5930,plain,
sF11 = addition(sF5,addition(sF8,addition(sF3,addition(multiplication(sF6,multiplication(sF3,sF3)),multiplication(sF8,sF3))))),
inference(forward_demodulation,[],[f5923,f5531]) ).
fof(f5934,plain,
sF11 = addition(sF3,addition(sF5,addition(sF8,addition(multiplication(sF6,multiplication(sF3,sF3)),multiplication(sF8,sF3))))),
inference(forward_demodulation,[],[f5930,f1658]) ).
fof(f5937,plain,
sF11 = addition(sF3,addition(sF5,addition(multiplication(sF6,multiplication(sF3,sF3)),sF8))),
inference(forward_demodulation,[],[f5934,f5897]) ).
fof(f5940,plain,
sF11 = addition(sF8,addition(sF3,addition(sF5,multiplication(sF6,multiplication(sF3,sF3))))),
inference(forward_demodulation,[],[f5937,f1912]) ).
fof(f5943,plain,
sF11 = addition(sF3,addition(sF8,addition(sF5,multiplication(sF6,multiplication(sF3,sF3))))),
inference(forward_demodulation,[],[f5940,f1592]) ).
fof(f5946,plain,
sF11 = addition(sF5,addition(sF3,addition(sF8,multiplication(sF6,multiplication(sF3,sF3))))),
inference(forward_demodulation,[],[f5943,f1658]) ).
fof(f5949,plain,
sF11 = addition(sF3,addition(sF5,addition(sF8,multiplication(sF6,multiplication(sF3,sF3))))),
inference(forward_demodulation,[],[f5946,f1592]) ).
fof(f5952,plain,
sF11 = addition(sF3,addition(sF5,addition(sF8,sF10))),
inference(forward_demodulation,[],[f5949,f1557]) ).
fof(f5955,plain,
sF11 = addition(sF3,sF11),
inference(forward_demodulation,[],[f5952,f1386]) ).
fof(f6671,plain,
addition(sF5,sF6) = addition(sF4,multiplication(sF6,sF3)),
inference(superposition,[],[f528,f1330]) ).
fof(f6714,plain,
addition(sF5,sF6) = addition(sF4,sF10),
inference(forward_demodulation,[],[f6671,f72]) ).
fof(f6745,plain,
( addition(sF5,sF6) = addition(sK0(zero),sF10)
| ~ spl12_25 ),
inference(forward_demodulation,[],[f6714,f3071]) ).
fof(f6765,plain,
( sF4 = addition(sK0(zero),sF10)
| ~ spl12_25 ),
inference(forward_demodulation,[],[f6745,f534]) ).
fof(f6776,plain,
( sK0(zero) = addition(sK0(zero),sF10)
| ~ spl12_25 ),
inference(forward_demodulation,[],[f6765,f3071]) ).
fof(f7040,plain,
( ! [X0] : addition(sK0(zero),X0) = addition(sK0(zero),addition(sF5,X0))
| ~ spl12_25 ),
inference(superposition,[],[f1333,f3071]) ).
fof(f7227,plain,
! [X0,X1] : addition(addition(sF4,X0),X1) = addition(sF3,addition(addition(X0,sF8),X1)),
inference(superposition,[],[f33,f1354]) ).
fof(f7251,plain,
! [X0,X1] : addition(addition(sF4,X0),X1) = addition(sF3,addition(X0,addition(sF8,X1))),
inference(forward_demodulation,[],[f7227,f33]) ).
fof(f7292,plain,
! [X0,X1] : addition(sF4,addition(X0,X1)) = addition(sF3,addition(X0,addition(sF8,X1))),
inference(forward_demodulation,[],[f7251,f33]) ).
fof(f7322,plain,
( ! [X0,X1] : addition(sF3,addition(X0,addition(sF8,X1))) = addition(sK0(zero),addition(X0,X1))
| ~ spl12_25 ),
inference(forward_demodulation,[],[f7292,f3071]) ).
fof(f8521,plain,
! [X0] : addition(sF4,addition(X0,sF11)) = addition(sF4,addition(sF9,addition(sF10,X0))),
inference(superposition,[],[f2123,f205]) ).
fof(f8623,plain,
! [X0] : addition(sF4,addition(X0,sF11)) = addition(sF4,addition(sF5,addition(sF8,addition(sF10,X0)))),
inference(forward_demodulation,[],[f8521,f203]) ).
fof(f8682,plain,
! [X0] : addition(sF4,addition(X0,sF11)) = addition(sF4,addition(sF8,addition(sF10,X0))),
inference(forward_demodulation,[],[f8623,f1333]) ).
fof(f8716,plain,
! [X0] : addition(sF4,addition(X0,sF11)) = addition(sF4,addition(sF10,X0)),
inference(forward_demodulation,[],[f8682,f1361]) ).
fof(f8744,plain,
( ! [X0] : addition(sK0(zero),addition(X0,sF11)) = addition(sK0(zero),addition(sF10,X0))
| ~ spl12_25 ),
inference(forward_demodulation,[],[f8716,f3071]) ).
fof(f9090,plain,
sF11 = addition(sF3,addition(sF11,sF11)),
inference(superposition,[],[f211,f5955]) ).
fof(f9101,plain,
sF11 = addition(sF5,addition(sF8,addition(sF10,addition(sF3,sF11)))),
inference(forward_demodulation,[],[f9090,f2017]) ).
fof(f9119,plain,
sF11 = addition(sF3,addition(sF5,addition(sF8,addition(sF10,sF11)))),
inference(forward_demodulation,[],[f9101,f1663]) ).
fof(f9128,plain,
( sF11 = addition(sK0(zero),addition(sF5,addition(sF10,sF11)))
| ~ spl12_25 ),
inference(forward_demodulation,[],[f9119,f7322]) ).
fof(f9137,plain,
( sF11 = addition(sK0(zero),addition(sF10,sF11))
| ~ spl12_25 ),
inference(forward_demodulation,[],[f9128,f7040]) ).
fof(f9143,plain,
( sF11 = addition(sK0(zero),addition(sF10,sF10))
| ~ spl12_25 ),
inference(forward_demodulation,[],[f9137,f8744]) ).
fof(f9145,plain,
( sF11 = addition(sK0(zero),sF10)
| ~ spl12_25 ),
inference(forward_demodulation,[],[f9143,f35]) ).
fof(f9146,plain,
( sF11 = sK0(zero)
| ~ spl12_25 ),
inference(forward_demodulation,[],[f9145,f6776]) ).
fof(f9209,plain,
( ~ leq(sK0(zero),one)
| spl12_1
| ~ spl12_25 ),
inference(superposition,[],[f79,f9146]) ).
fof(f9229,plain,
( ~ leq(sK0(zero),sF7)
| spl12_1
| ~ spl12_25 ),
inference(forward_demodulation,[],[f9209,f154]) ).
fof(f9235,plain,
( ~ leq(sK0(zero),sF4)
| spl12_1
| ~ spl12_25 ),
inference(forward_demodulation,[],[f9229,f170]) ).
fof(f9239,plain,
( ~ leq(sK0(zero),sK0(zero))
| spl12_1
| ~ spl12_25 ),
inference(forward_demodulation,[],[f9235,f3071]) ).
fof(f9240,plain,
( $false
| spl12_1
| ~ spl12_25 ),
inference(forward_subsumption_resolution,[],[f9239,f112]) ).
fof(f9241,plain,
( spl12_1
| ~ spl12_25 ),
inference(avatar_contradiction_clause,[],[f9240]) ).
fof(f9243,plain,
( ~ leq(one,sK0(zero))
| spl12_2
| ~ spl12_25 ),
inference(forward_demodulation,[],[f83,f9146]) ).
fof(f9245,plain,
( ~ leq(sF7,sK0(zero))
| spl12_2
| ~ spl12_25 ),
inference(forward_demodulation,[],[f9243,f154]) ).
fof(f9247,plain,
( ~ leq(sF4,sK0(zero))
| spl12_2
| ~ spl12_25 ),
inference(forward_demodulation,[],[f9245,f170]) ).
fof(f9249,plain,
( ~ leq(sK0(zero),sK0(zero))
| spl12_2
| ~ spl12_25 ),
inference(forward_demodulation,[],[f9247,f3071]) ).
fof(f9250,plain,
( $false
| spl12_2
| ~ spl12_25 ),
inference(forward_subsumption_resolution,[],[f9249,f112]) ).
fof(f9251,plain,
( spl12_2
| ~ spl12_25 ),
inference(avatar_contradiction_clause,[],[f9250]) ).
cnf(s1,plain,
( ~ spl12_1
| ~ spl12_2 ),
inference(sat_conversion,[],[f84]) ).
cnf(s12,plain,
spl12_25,
inference(sat_conversion,[],[f505]) ).
cnf(s58,plain,
( spl12_1
| ~ spl12_25 ),
inference(sat_conversion,[],[f9241]) ).
cnf(s59,plain,
( spl12_2
| ~ spl12_25 ),
inference(sat_conversion,[],[f9251]) ).
cnf(s61,plain,
spl12_2,
inference(rat,[],[s59,s12]) ).
cnf(s62,plain,
spl12_1,
inference(rat,[],[s58,s12]) ).
cnf(s69,plain,
$false,
inference(rat,[],[s1,s61,s62]) ).
fof(f9252,plain,
$false,
inference(avatar_sat_refutation,[],[s69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE011+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.41 % Computer : n006.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Sun Sep 27 12:58:11 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.44 Running first-order model finding
% 0.14/0.44 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
% 2.45/0.96 % (2960069)Will run a generic schedule for satisfiability detection.
% 2.45/0.96 % (2960080)dis+10_1_sil=32000:sp=arity:random_seed=4212780979:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.45/0.96 % (2960078)% WARNING: option uhcvi not known.
% 2.45/0.96 % (2960077)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3104155543_2999 on theBenchmark for (2999ds/0Mi)
% 2.45/0.96 % (2960078)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=399669069:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.45/0.96 % (2960081)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2917979338:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.45/0.96 % (2960079)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2585178970:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.45/0.96 % (2960083)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3263566625:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.45/0.96 % (2960082)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4020300055:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.45/0.96 % TRYING [1]
% 2.45/0.96 % TRYING [2]
% 2.45/0.96 % TRYING [3]
% 2.45/0.96 % TRYING [4]
% 2.45/0.96 % (2960080)Instruction limit reached!
% 2.45/0.96 % (2960080)------------------------------
% 2.45/0.96 % (2960080)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.45/0.96 % (2960080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.45/0.96 % TRYING [5]
% 2.45/0.96 % (2960080)CaDiCaL version: 2.1.3
% 2.45/0.96 % (2960080)Termination reason: Instruction limit
% 2.45/0.96 % (2960080)Termination phase: Saturation
% 2.45/0.96 % (2960080)Time elapsed: 0.034 s
% 2.45/0.96 % (2960080)Peak memory usage: 13 MB
% 2.45/0.96 % (2960080)Instructions burned: 104 (million)
% 2.45/0.96 % (2960110)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3738553986:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.45/0.96 % TRYING [1]
% 2.45/0.96 % TRYING [2]
% 2.45/0.96 % TRYING [3]
% 2.45/0.96 % TRYING [4]
% 2.45/0.96 % TRYING [5]
% 2.45/0.96 % (2960081)Instruction limit reached!
% 2.45/0.96 % (2960081)------------------------------
% 2.45/0.96 % (2960081)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.45/0.96 % (2960081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.45/0.96 % (2960081)CaDiCaL version: 2.1.3
% 2.45/0.96 % (2960081)Termination reason: Instruction limit
% 2.45/0.96 % (2960081)Termination phase: Saturation
% 2.45/0.96 % (2960081)Time elapsed: 0.068 s
% 2.45/0.96 % (2960081)Peak memory usage: 13 MB
% 2.45/0.96 % (2960081)Instructions burned: 116 (million)
% 2.45/0.96 % TRYING [6]
% 2.45/0.96 % (2960082)Instruction limit reached!
% 2.45/0.96 % (2960082)------------------------------
% 2.45/0.96 % (2960082)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.45/0.96 % (2960082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.45/0.96 % (2960082)CaDiCaL version: 2.1.3
% 2.45/0.96 % (2960082)Termination reason: Instruction limit
% 2.45/0.96 % (2960082)Termination phase: Saturation
% 2.45/0.96 % (2960082)Time elapsed: 0.072 s
% 2.45/0.96 % (2960082)Peak memory usage: 12 MB
% 2.45/0.96 % (2960082)Instructions burned: 131 (million)
% 2.45/0.96 % TRYING [6]
% 2.45/0.96 % (2960120)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4186163711:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 2.45/0.96 % (2960124)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=2936270963:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 2.45/0.96 % (2960083)Instruction limit reached!
% 2.45/0.96 % (2960083)------------------------------
% 2.45/0.96 % (2960083)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.45/0.96 % (2960083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.45/0.96 % (2960083)CaDiCaL version: 2.1.3
% 2.45/0.96 % (2960083)Termination reason: Instruction limit
% 2.45/0.96 % (2960083)Termination phase: Saturation
% 2.45/0.96 % (2960083)Time elapsed: 0.101 s
% 2.45/0.96 % (2960083)Peak memory usage: 13 MB
% 2.45/0.96 % (2960083)Instructions burned: 159 (million)
% 2.45/0.96 % (2960140)ott-21_1_sil=16000:fs=off:random_seed=4069744095:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.45/0.96 % TRYING [7]
% 2.45/0.96 % (2960120)Instruction limit reached!
% 2.45/0.96 % (2960120)------------------------------
% 2.45/0.96 % (2960120)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.45/0.96 % (2960120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.45/0.96 % (2960120)CaDiCaL version: 2.1.3
% 2.45/0.96 % (2960120)Termination reason: Instruction limit
% 2.45/0.96 % (2960120)Termination phase: Saturation
% 2.45/0.96 % (2960120)Time elapsed: 0.088 s
% 2.45/0.96 % (2960120)Peak memory usage: 13 MB
% 2.45/0.96 % (2960120)Instructions burned: 132 (million)
% 2.45/0.96 % TRYING [7]
% 2.45/0.96 % (2960110)Instruction limit reached!
% 2.45/0.96 % (2960110)------------------------------
% 2.45/0.96 % (2960110)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.45/0.96 % (2960110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.45/0.96 % (2960110)CaDiCaL version: 2.1.3
% 2.45/0.96 % (2960110)Termination reason: Instruction limit
% 2.45/0.96 % (2960110)Termination phase: Finite model building constraint generation
% 2.45/0.96 % (2960110)Time elapsed: 0.152 s
% 2.45/0.96 % (2960110)Peak memory usage: 30 MB
% 2.45/0.96 % (2960110)Instructions burned: 718 (million)
% 2.45/0.96 % (2960155)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2053356528:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 2.45/0.96 % (2960140)Instruction limit reached!
% 2.45/0.96 % (2960140)------------------------------
% 2.45/0.96 % (2960140)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.45/0.96 % (2960140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.45/0.96 % (2960140)CaDiCaL version: 2.1.3
% 2.45/0.96 % (2960140)Termination reason: Instruction limit
% 2.45/0.96 % (2960140)Termination phase: Saturation
% 2.45/0.96 % (2960140)Time elapsed: 0.079 s
% 2.45/0.96 % (2960140)Peak memory usage: 12 MB
% 2.45/0.96 % (2960140)Instructions burned: 182 (million)
% 2.45/0.96 % (2960159)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3094116362:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.45/0.96 % TRYING [1]
% 2.45/0.96 % TRYING [2]
% 2.45/0.96 % TRYING [3]
% 2.45/0.96 % TRYING [4]
% 2.45/0.96 % (2960165)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2127972890:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 2.45/0.96 % TRYING [5]
% 2.45/0.96 % TRYING [6]
% 2.45/0.96 % (2960159)Instruction limit reached!
% 2.45/0.96 % (2960159)------------------------------
% 2.45/0.96 % (2960159)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.45/0.96 % (2960159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.45/0.96 % (2960159)CaDiCaL version: 2.1.3
% 2.45/0.96 % (2960159)Termination reason: Instruction limit
% 2.45/0.96 % (2960159)Termination phase: Finite model building SAT solving
% 2.45/0.96 % (2960159)Time elapsed: 0.179 s
% 2.45/0.96 % (2960159)Peak memory usage: 24 MB
% 2.45/0.96 % (2960159)Instructions burned: 867 (million)
% 2.45/0.96 % (2960190)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=704506974:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 2.45/0.96 % (2960124)Instruction limit reached!
% 2.45/0.96 % (2960124)------------------------------
% 2.45/0.96 % (2960124)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.45/0.96 % (2960124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.45/0.96 % (2960124)CaDiCaL version: 2.1.3
% 2.45/0.96 % (2960124)Termination reason: Instruction limit
% 2.45/0.96 % (2960124)Termination phase: Saturation
% 2.45/0.96 % (2960124)Time elapsed: 0.366 s
% 2.45/0.96 % (2960124)Peak memory usage: 18 MB
% 2.45/0.96 % (2960124)Instructions burned: 685 (million)
% 2.45/0.96 % TRYING [14]
% 2.45/0.96 % (2960165) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2960069-2960165"...
% 2.45/0.96 % (2960165)...printing done.
% 2.45/0.96 % (2960165)Refutation found. Thanks to Tanya!
% 2.45/0.96 % SZS status Theorem for theBenchmark
% 2.45/0.96 % SZS output start Proof for theBenchmark
% See solution above
% 2.45/0.96 % (2960165)------------------------------
% 2.45/0.96 % (2960165)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.45/0.96 % (2960165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.45/0.96 % (2960165)CaDiCaL version: 2.1.3
% 2.45/0.96 % (2960165)Termination reason: Refutation
% 2.45/0.96 % (2960165)Time elapsed: 0.254 s
% 2.45/0.96 % (2960165)Peak memory usage: 16 MB
% 2.45/0.96 % (2960165)Instructions burned: 466 (million)
% 2.45/0.96 % (2960069)Success in time 0.505 s
% 2.45/0.96 % Vampire exiting
%------------------------------------------------------------------------------