%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KLE011+4 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n004.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 2.67s 1.00s
% Output : Refutation 2.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 59
% Number of leaves : 33
% Syntax : Number of formulae : 344 ( 174 unt; 15 def)
% Number of atoms : 636 ( 292 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 522 ( 230 ~; 252 |; 23 &)
% ( 11 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 11 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 13 con; 0-2 aty)
% Number of variables : 246 ( 0 sgn 239 !; 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(f16,axiom,
! [X0] :
( ~ test(X0)
=> c(X0) = zero ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_4) ).
fof(f17,axiom,
! [X0,X1] :
( ( test(X0)
& test(X1) )
=> c(addition(X0,X1)) = multiplication(c(X0),c(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+2.ax',test_deMorgan1) ).
fof(f19,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(f20,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)],[f19]) ).
fof(f21,plain,
! [X0,X1] :
( addition(X0,X1) = X1
=> leq(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f12]) ).
fof(f22,plain,
! [X0,X1] :
( leq(X0,X1)
| addition(X0,X1) != X1 ),
inference(ennf_transformation,[],[f21]) ).
fof(f23,plain,
! [X0,X1] :
( ( c(X0) = X1
<=> complement(X0,X1) )
| ~ test(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f24,plain,
! [X0] :
( c(X0) = zero
| test(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f25,plain,
! [X0,X1] :
( c(addition(X0,X1)) = multiplication(c(X0),c(X1))
| ~ test(X0)
| ~ test(X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f26,plain,
! [X0,X1] :
( c(addition(X0,X1)) = multiplication(c(X0),c(X1))
| ~ test(X0)
| ~ test(X1) ),
inference(flattening,[],[f25]) ).
fof(f29,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,[],[f20]) ).
fof(f30,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,[],[f29]) ).
fof(f31,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( ? [X1] : complement(X1,X0)
| ~ test(X0) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f32,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( ? [X2] : complement(X2,X0)
| ~ test(X0) ) ),
inference(rectify,[],[f31]) ).
fof(f33,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))],[f32]) ).
fof(f34,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(f35,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,[],[f34]) ).
fof(f36,plain,
! [X0,X1] :
( ( ( c(X0) = X1
| ~ complement(X0,X1) )
& ( complement(X0,X1)
| c(X0) != X1 ) )
| ~ test(X0) ),
inference(nnf_transformation,[],[f23]) ).
fof(f37,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)],[f30]) ).
fof(f38,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f39,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f40,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f41,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f42,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f43,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f44,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f45,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f46,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f47,plain,
! [X0] : zero = multiplication(X0,zero),
inference(cnf_transformation,[],[f10]) ).
fof(f48,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f49,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f50,plain,
! [X0] :
( ~ test(X0)
| complement(sK0(X0),X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f51,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| test(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f52,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(cnf_transformation,[],[f35]) ).
fof(f53,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X1,X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f54,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f55,plain,
! [X0,X1] :
( zero != multiplication(X1,X0)
| zero != multiplication(X0,X1)
| complement(X1,X0)
| addition(X0,X1) != one ),
inference(cnf_transformation,[],[f35]) ).
fof(f56,plain,
! [X0,X1] :
( complement(X0,X1)
| c(X0) != X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f57,plain,
! [X0,X1] :
( ~ complement(X0,X1)
| c(X0) = X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f58,plain,
! [X0] :
( test(X0)
| zero = c(X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f59,plain,
! [X0,X1] :
( ~ test(X1)
| ~ test(X0)
| c(addition(X0,X1)) = multiplication(c(X0),c(X1)) ),
inference(cnf_transformation,[],[f26]) ).
fof(f61,plain,
test(sK1),
inference(cnf_transformation,[],[f37]) ).
fof(f62,plain,
test(sK2),
inference(cnf_transformation,[],[f37]) ).
fof(f63,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,[],[f37]) ).
fof(f64,plain,
! [X0] :
( ~ test(X0)
| complement(X0,c(X0)) ),
inference(equality_resolution,[],[f56]) ).
fof(f65,definition,
sF3 = c(sK2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f66,plain,
c(sK2) = sF3,
inference(reorient_equations,[],[f65]) ).
fof(f67,definition,
sF4 = addition(sK2,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f68,plain,
addition(sK2,sF3) = sF4,
inference(reorient_equations,[],[f67]) ).
fof(f69,definition,
sF5 = multiplication(sF4,sK1),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f70,plain,
multiplication(sF4,sK1) = sF5,
inference(reorient_equations,[],[f69]) ).
fof(f71,definition,
sF6 = c(sK1),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f72,plain,
c(sK1) = sF6,
inference(reorient_equations,[],[f71]) ).
fof(f73,definition,
sF7 = addition(sK1,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f74,plain,
addition(sK1,sF6) = sF7,
inference(reorient_equations,[],[f73]) ).
fof(f75,definition,
sF8 = multiplication(sF7,sK2),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f76,plain,
multiplication(sF7,sK2) = sF8,
inference(reorient_equations,[],[f75]) ).
fof(f77,definition,
sF9 = addition(sF5,sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f78,plain,
addition(sF5,sF8) = sF9,
inference(reorient_equations,[],[f77]) ).
fof(f79,definition,
sF10 = multiplication(sF6,sF3),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f80,plain,
multiplication(sF6,sF3) = sF10,
inference(reorient_equations,[],[f79]) ).
fof(f81,definition,
sF11 = addition(sF9,sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f82,plain,
addition(sF9,sF10) = sF11,
inference(reorient_equations,[],[f81]) ).
fof(f83,plain,
( ~ leq(one,sF11)
| ~ leq(sF11,one) ),
inference(definition_folding,[],[f63,f82,f80,f66,f72,f78,f76,f74,f72,f70,f68,f66,f82,f80,f66,f72,f78,f76,f74,f72,f70,f68,f66]) ).
fof(f85,definition,
( spl12_1
<=> leq(sF11,one) ),
introduced(definition,[new_symbols(definition,[spl12_1])],[avatar_definition]) ).
fof(f87,plain,
( ~ leq(sF11,one)
| spl12_1 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f89,definition,
( spl12_2
<=> leq(one,sF11) ),
introduced(definition,[new_symbols(definition,[spl12_2])],[avatar_definition]) ).
fof(f91,plain,
( ~ leq(one,sF11)
| spl12_2 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f92,plain,
( ~ spl12_1
| ~ spl12_2 ),
inference(avatar_split_clause,[],[f83,f89,f85]) ).
fof(f93,plain,
sF4 = addition(sF3,sK2),
inference(forward_demodulation,[],[f68,f38]) ).
fof(f94,plain,
sF7 = addition(sF6,sK1),
inference(forward_demodulation,[],[f74,f38]) ).
fof(f95,plain,
complement(sK0(sK1),sK1),
inference(resolution,[],[f50,f61]) ).
fof(f100,plain,
complement(sK1,c(sK1)),
inference(resolution,[],[f64,f61]) ).
fof(f101,plain,
complement(sK2,c(sK2)),
inference(resolution,[],[f64,f62]) ).
fof(f102,plain,
! [X0] :
( complement(X0,c(X0))
| zero = c(X0) ),
inference(resolution,[],[f64,f58]) ).
fof(f103,plain,
complement(sK2,sF3),
inference(forward_demodulation,[],[f101,f66]) ).
fof(f104,plain,
complement(sK1,sF6),
inference(forward_demodulation,[],[f100,f72]) ).
fof(f109,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f40,f38]) ).
fof(f113,plain,
! [X0] :
( X0 != X0
| leq(X0,X0) ),
inference(superposition,[],[f49,f41]) ).
fof(f120,plain,
! [X0] : leq(X0,X0),
inference(trivial_inequality_removal,[],[f113]) ).
fof(f158,plain,
one = addition(sK1,sK0(sK1)),
inference(resolution,[],[f52,f95]) ).
fof(f160,plain,
one = addition(sF3,sK2),
inference(resolution,[],[f52,f103]) ).
fof(f161,plain,
one = addition(sF6,sK1),
inference(resolution,[],[f52,f104]) ).
fof(f162,plain,
one = sF7,
inference(forward_demodulation,[],[f161,f94]) ).
fof(f163,plain,
one = sF4,
inference(forward_demodulation,[],[f160,f93]) ).
fof(f166,plain,
zero = multiplication(sK0(sK1),sK1),
inference(resolution,[],[f53,f95]) ).
fof(f170,plain,
! [X0] : multiplication(sF7,X0) = X0,
inference(superposition,[],[f44,f162]) ).
fof(f171,plain,
! [X0] : multiplication(X0,sF7) = X0,
inference(superposition,[],[f43,f162]) ).
fof(f173,plain,
zero = multiplication(sK1,sK0(sK1)),
inference(resolution,[],[f54,f95]) ).
fof(f178,plain,
sF4 = sF7,
inference(superposition,[],[f162,f163]) ).
fof(f179,plain,
! [X0] : multiplication(sF4,X0) = X0,
inference(superposition,[],[f44,f163]) ).
fof(f180,plain,
! [X0] : multiplication(X0,sF4) = X0,
inference(superposition,[],[f43,f163]) ).
fof(f206,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f39,f41]) ).
fof(f208,plain,
! [X2,X0,X1] : addition(addition(X0,X1),X2) = addition(X1,addition(X0,X2)),
inference(superposition,[],[f39,f38]) ).
fof(f210,plain,
! [X0] : addition(sF3,addition(sK2,X0)) = addition(sF4,X0),
inference(superposition,[],[f39,f93]) ).
fof(f211,plain,
! [X0] : addition(sF5,addition(sF8,X0)) = addition(sF9,X0),
inference(superposition,[],[f39,f78]) ).
fof(f212,plain,
! [X0] : addition(sF6,addition(sK1,X0)) = addition(sF7,X0),
inference(superposition,[],[f39,f94]) ).
fof(f213,plain,
! [X0] : addition(sF9,addition(sF10,X0)) = addition(sF11,X0),
inference(superposition,[],[f39,f82]) ).
fof(f222,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1)),
inference(superposition,[],[f38,f39]) ).
fof(f223,plain,
! [X0] : addition(sF4,X0) = addition(sF6,addition(sK1,X0)),
inference(forward_demodulation,[],[f212,f178]) ).
fof(f232,plain,
! [X0] : multiplication(sF4,multiplication(sK1,X0)) = multiplication(sF5,X0),
inference(superposition,[],[f42,f70]) ).
fof(f233,plain,
! [X0] : multiplication(sF6,multiplication(sF3,X0)) = multiplication(sF10,X0),
inference(superposition,[],[f42,f80]) ).
fof(f234,plain,
! [X0] : multiplication(sF7,multiplication(sK2,X0)) = multiplication(sF8,X0),
inference(superposition,[],[f42,f76]) ).
fof(f241,plain,
! [X0] : multiplication(sK2,X0) = multiplication(sF8,X0),
inference(forward_demodulation,[],[f234,f170]) ).
fof(f242,plain,
! [X0] : multiplication(sK1,X0) = multiplication(sF5,X0),
inference(forward_demodulation,[],[f232,f179]) ).
fof(f250,plain,
! [X2,X0,X1] : addition(multiplication(X2,X1),multiplication(X2,X0)) = multiplication(X2,addition(X0,X1)),
inference(superposition,[],[f45,f38]) ).
fof(f252,plain,
! [X0] : multiplication(X0,sF4) = addition(multiplication(X0,sF3),multiplication(X0,sK2)),
inference(superposition,[],[f45,f93]) ).
fof(f254,plain,
! [X0] : multiplication(X0,sF7) = addition(multiplication(X0,sF6),multiplication(X0,sK1)),
inference(superposition,[],[f45,f94]) ).
fof(f270,plain,
! [X0] : addition(multiplication(X0,sF6),multiplication(X0,sK1)) = X0,
inference(forward_demodulation,[],[f254,f171]) ).
fof(f271,plain,
! [X0] : addition(multiplication(X0,sF3),multiplication(X0,sK2)) = X0,
inference(forward_demodulation,[],[f252,f180]) ).
fof(f286,plain,
sF8 = multiplication(sF4,sK2),
inference(superposition,[],[f76,f178]) ).
fof(f287,plain,
sK2 = sF8,
inference(forward_demodulation,[],[f286,f179]) ).
fof(f293,plain,
! [X0] : multiplication(sF4,X0) = addition(multiplication(sF3,X0),multiplication(sK2,X0)),
inference(superposition,[],[f46,f93]) ).
fof(f294,plain,
! [X0] : addition(multiplication(sF5,X0),multiplication(sF8,X0)) = multiplication(sF9,X0),
inference(superposition,[],[f46,f78]) ).
fof(f295,plain,
! [X0] : multiplication(sF7,X0) = addition(multiplication(sF6,X0),multiplication(sK1,X0)),
inference(superposition,[],[f46,f94]) ).
fof(f296,plain,
! [X0] : addition(multiplication(sF9,X0),multiplication(sF10,X0)) = multiplication(sF11,X0),
inference(superposition,[],[f46,f82]) ).
fof(f311,plain,
! [X0] : multiplication(sF11,X0) = addition(multiplication(sF9,X0),multiplication(sF6,multiplication(sF3,X0))),
inference(forward_demodulation,[],[f296,f233]) ).
fof(f312,plain,
! [X0] : multiplication(sF7,X0) = addition(multiplication(sF6,X0),multiplication(sF5,X0)),
inference(forward_demodulation,[],[f295,f242]) ).
fof(f313,plain,
! [X0] : multiplication(sF4,X0) = addition(multiplication(sF3,X0),multiplication(sF8,X0)),
inference(forward_demodulation,[],[f293,f241]) ).
fof(f321,plain,
! [X0] : multiplication(sF11,X0) = addition(multiplication(sF6,multiplication(sF3,X0)),multiplication(sF9,X0)),
inference(forward_demodulation,[],[f311,f38]) ).
fof(f322,plain,
! [X0] : multiplication(sF7,X0) = addition(multiplication(sF5,X0),multiplication(sF6,X0)),
inference(forward_demodulation,[],[f312,f38]) ).
fof(f323,plain,
! [X0] : addition(multiplication(sF3,X0),multiplication(sF8,X0)) = X0,
inference(forward_demodulation,[],[f313,f179]) ).
fof(f328,plain,
! [X0] : multiplication(sF11,X0) = addition(multiplication(sF6,multiplication(sF3,X0)),addition(multiplication(sF5,X0),multiplication(sF8,X0))),
inference(forward_demodulation,[],[f321,f294]) ).
fof(f329,plain,
! [X0] : addition(multiplication(sF5,X0),multiplication(sF6,X0)) = X0,
inference(forward_demodulation,[],[f322,f170]) ).
fof(f339,plain,
! [X0] :
( ~ test(X0)
| c(addition(X0,sK2)) = multiplication(c(X0),c(sK2)) ),
inference(resolution,[],[f59,f62]) ).
fof(f342,plain,
! [X0] :
( c(addition(X0,sK2)) = multiplication(c(X0),sF3)
| ~ test(X0) ),
inference(forward_demodulation,[],[f339,f66]) ).
fof(f344,plain,
! [X0] :
( ~ test(X0)
| multiplication(c(X0),sF3) = c(addition(X0,sF8)) ),
inference(forward_demodulation,[],[f342,f287]) ).
fof(f345,plain,
test(sF8),
inference(superposition,[],[f62,f287]) ).
fof(f346,plain,
sF3 = c(sF8),
inference(superposition,[],[f66,f287]) ).
fof(f350,plain,
complement(sF8,sF3),
inference(superposition,[],[f103,f287]) ).
fof(f371,plain,
! [X0] :
( zero != zero
| zero != multiplication(zero,X0)
| complement(X0,zero)
| one != addition(zero,X0) ),
inference(superposition,[],[f55,f47]) ).
fof(f381,plain,
! [X0] :
( zero != multiplication(zero,X0)
| complement(X0,zero)
| one != addition(zero,X0) ),
inference(trivial_inequality_removal,[],[f371]) ).
fof(f391,plain,
! [X0] :
( complement(X0,zero)
| one != addition(zero,X0) ),
inference(forward_subsumption_resolution,[],[f381,f48]) ).
fof(f404,plain,
! [X0] :
( one != X0
| complement(X0,zero) ),
inference(forward_demodulation,[],[f391,f109]) ).
fof(f416,definition,
( spl12_17
<=> zero = sF10 ),
introduced(definition,[new_symbols(definition,[spl12_17])],[avatar_definition]) ).
fof(f417,plain,
( zero = sF10
| ~ spl12_17 ),
inference(avatar_component_clause,[],[f416]) ).
fof(f418,plain,
( zero != sF10
| spl12_17 ),
inference(avatar_component_clause,[],[f416]) ).
fof(f429,plain,
! [X0] :
( sF7 != X0
| complement(X0,zero) ),
inference(forward_demodulation,[],[f404,f162]) ).
fof(f436,plain,
! [X0] :
( sF4 != X0
| complement(X0,zero) ),
inference(forward_demodulation,[],[f429,f178]) ).
fof(f474,plain,
zero = multiplication(sF8,sF3),
inference(resolution,[],[f350,f53]) ).
fof(f487,definition,
( spl12_25
<=> test(zero) ),
introduced(definition,[new_symbols(definition,[spl12_25])],[avatar_definition]) ).
fof(f488,plain,
( test(zero)
| ~ spl12_25 ),
inference(avatar_component_clause,[],[f487]) ).
fof(f489,plain,
( ~ test(zero)
| spl12_25 ),
inference(avatar_component_clause,[],[f487]) ).
fof(f495,plain,
complement(sF4,zero),
inference(equality_resolution,[],[f436]) ).
fof(f527,plain,
sK1 = multiplication(sF5,one),
inference(superposition,[],[f43,f242]) ).
fof(f528,plain,
sK1 = sF5,
inference(forward_demodulation,[],[f527,f43]) ).
fof(f544,plain,
test(zero),
inference(resolution,[],[f495,f51]) ).
fof(f545,plain,
( $false
| spl12_25 ),
inference(forward_subsumption_resolution,[],[f544,f489]) ).
fof(f546,plain,
spl12_25,
inference(avatar_contradiction_clause,[],[f545]) ).
fof(f549,plain,
addition(sF6,sK1) = addition(sF4,zero),
inference(superposition,[],[f223,f40]) ).
fof(f564,plain,
sF4 = addition(sF6,sK1),
inference(forward_demodulation,[],[f549,f40]) ).
fof(f572,plain,
sF4 = addition(sF6,sF5),
inference(forward_demodulation,[],[f564,f528]) ).
fof(f575,plain,
sF4 = addition(sF5,sF6),
inference(forward_demodulation,[],[f572,f38]) ).
fof(f581,plain,
( complement(sK0(zero),zero)
| ~ spl12_25 ),
inference(resolution,[],[f488,f50]) ).
fof(f603,plain,
! [X0,X1] : multiplication(X1,X0) = addition(multiplication(X1,multiplication(X0,sF6)),multiplication(X1,multiplication(X0,sK1))),
inference(superposition,[],[f45,f270]) ).
fof(f608,plain,
! [X0,X1] : multiplication(X1,X0) = addition(multiplication(X1,multiplication(X0,sF6)),multiplication(X1,multiplication(X0,sF5))),
inference(forward_demodulation,[],[f603,f528]) ).
fof(f624,plain,
! [X0,X1] : multiplication(X1,X0) = addition(multiplication(X1,multiplication(X0,sF5)),multiplication(X1,multiplication(X0,sF6))),
inference(forward_demodulation,[],[f608,f38]) ).
fof(f657,plain,
test(sF5),
inference(superposition,[],[f61,f528]) ).
fof(f659,plain,
sF6 = c(sF5),
inference(superposition,[],[f72,f528]) ).
fof(f754,plain,
! [X0,X1] : addition(X0,X1) = addition(multiplication(sF3,X0),addition(multiplication(sF8,X0),X1)),
inference(superposition,[],[f39,f323]) ).
fof(f782,plain,
sF3 = addition(multiplication(sF5,sF3),sF10),
inference(superposition,[],[f329,f80]) ).
fof(f794,plain,
sF3 = addition(sF10,multiplication(sF5,sF3)),
inference(forward_demodulation,[],[f782,f38]) ).
fof(f860,plain,
c(addition(sF5,sF8)) = multiplication(c(sF5),sF3),
inference(resolution,[],[f344,f657]) ).
fof(f862,plain,
multiplication(c(sF8),sF3) = c(addition(sF8,sF8)),
inference(resolution,[],[f344,f345]) ).
fof(f863,plain,
c(sF8) = multiplication(c(sF8),sF3),
inference(forward_demodulation,[],[f862,f41]) ).
fof(f864,plain,
multiplication(sF6,sF3) = c(addition(sF5,sF8)),
inference(forward_demodulation,[],[f860,f659]) ).
fof(f870,plain,
sF3 = multiplication(sF3,sF3),
inference(forward_demodulation,[],[f863,f346]) ).
fof(f871,plain,
multiplication(sF6,sF3) = c(sF9),
inference(forward_demodulation,[],[f864,f78]) ).
fof(f877,plain,
sF10 = c(sF9),
inference(forward_demodulation,[],[f871,f80]) ).
fof(f1476,plain,
! [X0] :
( zero = c(X0)
| one = addition(c(X0),X0) ),
inference(resolution,[],[f102,f52]) ).
fof(f1482,plain,
! [X0] :
( one = addition(X0,c(X0))
| zero = c(X0) ),
inference(forward_demodulation,[],[f1476,f38]) ).
fof(f1483,plain,
! [X0] :
( addition(X0,c(X0)) = sF7
| zero = c(X0) ),
inference(forward_demodulation,[],[f1482,f162]) ).
fof(f1484,plain,
! [X0] :
( addition(X0,c(X0)) = sF4
| zero = c(X0) ),
inference(forward_demodulation,[],[f1483,f178]) ).
fof(f1488,plain,
( one = addition(zero,sK0(zero))
| ~ spl12_25 ),
inference(resolution,[],[f581,f52]) ).
fof(f1490,plain,
( one = sK0(zero)
| ~ spl12_25 ),
inference(forward_demodulation,[],[f1488,f109]) ).
fof(f1514,definition,
( spl12_36
<=> sF9 = sF11 ),
introduced(definition,[new_symbols(definition,[spl12_36])],[avatar_definition]) ).
fof(f1515,plain,
( sF9 = sF11
| ~ spl12_36 ),
inference(avatar_component_clause,[],[f1514]) ).
fof(f1559,plain,
! [X0] : addition(multiplication(X0,sF3),X0) = X0,
inference(superposition,[],[f206,f271]) ).
fof(f1561,plain,
! [X0] : addition(multiplication(sF5,X0),X0) = X0,
inference(superposition,[],[f206,f329]) ).
fof(f1585,plain,
! [X0] : addition(X0,multiplication(sF5,X0)) = X0,
inference(forward_demodulation,[],[f1561,f38]) ).
fof(f1587,plain,
! [X0] : addition(X0,multiplication(X0,sF3)) = X0,
inference(forward_demodulation,[],[f1559,f38]) ).
fof(f1595,plain,
! [X0] : addition(sF4,X0) = addition(sF3,addition(X0,sK2)),
inference(superposition,[],[f210,f38]) ).
fof(f1611,plain,
! [X0] : addition(sF4,X0) = addition(sF3,addition(X0,sF8)),
inference(forward_demodulation,[],[f1595,f287]) ).
fof(f1643,plain,
sF11 = addition(sF5,addition(sF8,sF10)),
inference(superposition,[],[f82,f211]) ).
fof(f1770,plain,
( sF11 = addition(sF9,zero)
| ~ spl12_17 ),
inference(superposition,[],[f82,f417]) ).
fof(f1771,plain,
( sF9 = sF11
| ~ spl12_17 ),
inference(forward_demodulation,[],[f1770,f40]) ).
fof(f1776,plain,
( ! [X0] : multiplication(zero,X0) = multiplication(sF6,multiplication(sF3,X0))
| ~ spl12_17 ),
inference(superposition,[],[f233,f417]) ).
fof(f1811,plain,
( ! [X0] : zero = multiplication(sF6,multiplication(sF3,X0))
| ~ spl12_17 ),
inference(forward_demodulation,[],[f1776,f48]) ).
fof(f1899,plain,
! [X2,X3,X0,X1] : addition(addition(X0,addition(X1,X2)),X3) = addition(X2,addition(addition(X0,X1),X3)),
inference(superposition,[],[f208,f39]) ).
fof(f1920,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X1,addition(X0,X2)),
inference(superposition,[],[f39,f208]) ).
fof(f1958,plain,
! [X2,X3,X0,X1] : addition(addition(X0,addition(X1,X2)),X3) = addition(X2,addition(X0,addition(X1,X3))),
inference(forward_demodulation,[],[f1899,f39]) ).
fof(f1975,plain,
! [X2,X3,X0,X1] : addition(X0,addition(addition(X1,X2),X3)) = addition(X2,addition(X0,addition(X1,X3))),
inference(forward_demodulation,[],[f1958,f39]) ).
fof(f1986,plain,
! [X2,X3,X0,X1] : addition(X0,addition(X1,addition(X2,X3))) = addition(X2,addition(X0,addition(X1,X3))),
inference(forward_demodulation,[],[f1975,f39]) ).
fof(f2227,plain,
( sF4 = sK0(zero)
| ~ spl12_25 ),
inference(superposition,[],[f163,f1490]) ).
fof(f2242,plain,
! [X2,X3,X0,X1] : addition(X3,addition(X0,addition(X1,X2))) = addition(X2,addition(X3,addition(X0,X1))),
inference(superposition,[],[f222,f39]) ).
fof(f3507,plain,
! [X0,X1] : addition(X1,X0) = addition(multiplication(sF3,addition(X1,X0)),addition(multiplication(sF8,X0),multiplication(sF8,X1))),
inference(superposition,[],[f323,f250]) ).
fof(f3512,plain,
! [X0,X1] : addition(X1,X0) = addition(addition(multiplication(sF3,X1),multiplication(sF3,X0)),addition(multiplication(sF8,X0),multiplication(sF8,X1))),
inference(forward_demodulation,[],[f3507,f45]) ).
fof(f3560,plain,
! [X0,X1] : addition(X1,X0) = addition(multiplication(sF3,X1),addition(multiplication(sF3,X0),addition(multiplication(sF8,X0),multiplication(sF8,X1)))),
inference(forward_demodulation,[],[f3512,f39]) ).
fof(f3602,plain,
! [X0,X1] : addition(X1,X0) = addition(multiplication(sF3,X1),addition(X0,multiplication(sF8,X1))),
inference(forward_demodulation,[],[f3560,f754]) ).
fof(f5550,plain,
sF4 = addition(sF5,sF4),
inference(superposition,[],[f206,f575]) ).
fof(f5564,plain,
sF4 = addition(sF4,sF5),
inference(forward_demodulation,[],[f5550,f38]) ).
fof(f5571,plain,
( sK0(zero) = addition(sK0(zero),sF5)
| ~ spl12_25 ),
inference(forward_demodulation,[],[f5564,f2227]) ).
fof(f6427,plain,
( zero != zero
| zero != multiplication(sK0(sK1),sK1)
| complement(sK1,sK0(sK1))
| one != addition(sK0(sK1),sK1) ),
inference(superposition,[],[f55,f173]) ).
fof(f6437,plain,
( zero != multiplication(sK0(sK1),sK1)
| complement(sK1,sK0(sK1))
| one != addition(sK0(sK1),sK1) ),
inference(trivial_inequality_removal,[],[f6427]) ).
fof(f6447,plain,
( complement(sK1,sK0(sK1))
| one != addition(sK0(sK1),sK1) ),
inference(forward_subsumption_resolution,[],[f6437,f166]) ).
fof(f6457,plain,
( complement(sF5,sK0(sF5))
| one != addition(sK0(sK1),sK1) ),
inference(forward_demodulation,[],[f6447,f528]) ).
fof(f6464,plain,
( one != addition(sK1,sK0(sK1))
| complement(sF5,sK0(sF5)) ),
inference(forward_demodulation,[],[f6457,f38]) ).
fof(f6470,plain,
complement(sF5,sK0(sF5)),
inference(forward_subsumption_resolution,[],[f6464,f158]) ).
fof(f6490,plain,
( c(sF5) = sK0(sF5)
| ~ test(sF5) ),
inference(resolution,[],[f6470,f57]) ).
fof(f6498,plain,
c(sF5) = sK0(sF5),
inference(forward_subsumption_resolution,[],[f6490,f657]) ).
fof(f7099,plain,
sF11 = addition(sF11,addition(multiplication(sF6,multiplication(sF3,sF3)),addition(multiplication(sF5,sF3),multiplication(sF8,sF3)))),
inference(superposition,[],[f1587,f328]) ).
fof(f7151,plain,
sF11 = addition(multiplication(sF5,sF3),addition(sF11,addition(multiplication(sF6,multiplication(sF3,sF3)),multiplication(sF8,sF3)))),
inference(forward_demodulation,[],[f7099,f1986]) ).
fof(f7175,plain,
sF11 = addition(sF11,addition(multiplication(sF5,sF3),addition(multiplication(sF6,multiplication(sF3,sF3)),multiplication(sF8,sF3)))),
inference(forward_demodulation,[],[f7151,f1920]) ).
fof(f7188,plain,
sF11 = addition(sF9,addition(sF10,addition(multiplication(sF5,sF3),addition(multiplication(sF6,multiplication(sF3,sF3)),multiplication(sF8,sF3))))),
inference(forward_demodulation,[],[f7175,f213]) ).
fof(f7196,plain,
sF11 = addition(sF5,addition(sF8,addition(sF10,addition(multiplication(sF5,sF3),addition(multiplication(sF6,multiplication(sF3,sF3)),multiplication(sF8,sF3)))))),
inference(forward_demodulation,[],[f7188,f211]) ).
fof(f7203,plain,
sF11 = addition(sF5,addition(sF8,addition(sF10,addition(multiplication(sF5,sF3),addition(multiplication(sF6,multiplication(sF3,sF3)),zero))))),
inference(forward_demodulation,[],[f7196,f474]) ).
fof(f7208,plain,
sF11 = addition(sF5,addition(sF8,addition(zero,addition(sF10,addition(multiplication(sF5,sF3),multiplication(sF6,multiplication(sF3,sF3))))))),
inference(forward_demodulation,[],[f7203,f2242]) ).
fof(f7211,plain,
sF11 = addition(zero,addition(sF5,addition(sF8,addition(sF10,addition(multiplication(sF5,sF3),multiplication(sF6,multiplication(sF3,sF3))))))),
inference(forward_demodulation,[],[f7208,f1986]) ).
fof(f7214,plain,
sF11 = addition(sF5,addition(sF8,addition(sF10,addition(multiplication(sF5,sF3),multiplication(sF6,multiplication(sF3,sF3)))))),
inference(forward_demodulation,[],[f7211,f109]) ).
fof(f7217,plain,
( sF11 = addition(sF5,addition(sF8,addition(sF10,addition(multiplication(sF5,sF3),zero))))
| ~ spl12_17 ),
inference(forward_demodulation,[],[f7214,f1811]) ).
fof(f7220,plain,
( sF11 = addition(sF5,addition(zero,addition(sF8,addition(sF10,multiplication(sF5,sF3)))))
| ~ spl12_17 ),
inference(forward_demodulation,[],[f7217,f2242]) ).
fof(f7223,plain,
( sF11 = addition(zero,addition(sF5,addition(sF8,addition(sF10,multiplication(sF5,sF3)))))
| ~ spl12_17 ),
inference(forward_demodulation,[],[f7220,f1920]) ).
fof(f7226,plain,
( sF11 = addition(sF5,addition(sF8,addition(sF10,multiplication(sF5,sF3))))
| ~ spl12_17 ),
inference(forward_demodulation,[],[f7223,f109]) ).
fof(f7229,plain,
( sF11 = addition(sF5,addition(sF8,sF3))
| ~ spl12_17 ),
inference(forward_demodulation,[],[f7226,f794]) ).
fof(f7232,plain,
( sF11 = addition(sF3,addition(sF5,sF8))
| ~ spl12_17 ),
inference(forward_demodulation,[],[f7229,f222]) ).
fof(f7235,plain,
( sF11 = addition(sF4,sF5)
| ~ spl12_17 ),
inference(forward_demodulation,[],[f7232,f1611]) ).
fof(f7238,plain,
( sF11 = addition(sK0(zero),sF5)
| ~ spl12_17
| ~ spl12_25 ),
inference(forward_demodulation,[],[f7235,f2227]) ).
fof(f7241,plain,
( sF11 = sK0(zero)
| ~ spl12_17
| ~ spl12_25 ),
inference(forward_demodulation,[],[f7238,f5571]) ).
fof(f7246,plain,
( ~ leq(sK0(zero),one)
| spl12_1
| ~ spl12_17
| ~ spl12_25 ),
inference(superposition,[],[f87,f7241]) ).
fof(f7259,plain,
( ~ leq(sK0(zero),sF7)
| spl12_1
| ~ spl12_17
| ~ spl12_25 ),
inference(forward_demodulation,[],[f7246,f162]) ).
fof(f7266,plain,
( ~ leq(sK0(zero),sF4)
| spl12_1
| ~ spl12_17
| ~ spl12_25 ),
inference(forward_demodulation,[],[f7259,f178]) ).
fof(f7272,plain,
( ~ leq(sK0(zero),sK0(zero))
| spl12_1
| ~ spl12_17
| ~ spl12_25 ),
inference(forward_demodulation,[],[f7266,f2227]) ).
fof(f7276,plain,
( $false
| spl12_1
| ~ spl12_17
| ~ spl12_25 ),
inference(forward_subsumption_resolution,[],[f7272,f120]) ).
fof(f7277,plain,
( spl12_1
| ~ spl12_17
| ~ spl12_25 ),
inference(avatar_contradiction_clause,[],[f7276]) ).
fof(f7395,plain,
sF11 = addition(sF5,addition(sF8,addition(sF10,addition(multiplication(sF5,sF3),multiplication(sF6,sF3))))),
inference(forward_demodulation,[],[f7214,f870]) ).
fof(f7476,plain,
sF11 = addition(sF5,addition(sF8,addition(sF10,sF3))),
inference(forward_demodulation,[],[f7395,f329]) ).
fof(f7542,plain,
sF11 = addition(sF3,addition(sF5,addition(sF8,sF10))),
inference(forward_demodulation,[],[f7476,f2242]) ).
fof(f7603,plain,
sF11 = addition(sF3,sF11),
inference(forward_demodulation,[],[f7542,f1643]) ).
fof(f9429,plain,
( sF4 = addition(sF5,addition(sF8,c(sF9)))
| zero = c(sF9) ),
inference(superposition,[],[f211,f1484]) ).
fof(f9431,plain,
( sF4 = addition(sF5,addition(sF8,sF10))
| zero = c(sF9) ),
inference(forward_demodulation,[],[f9429,f877]) ).
fof(f9460,plain,
( sF4 = sF11
| zero = c(sF9) ),
inference(forward_demodulation,[],[f9431,f1643]) ).
fof(f9474,plain,
( sF11 = sK0(zero)
| zero = c(sF9)
| ~ spl12_25 ),
inference(forward_demodulation,[],[f9460,f2227]) ).
fof(f9480,plain,
( zero = sF10
| sF11 = sK0(zero)
| ~ spl12_25 ),
inference(forward_demodulation,[],[f9474,f877]) ).
fof(f9484,plain,
( sF11 = sK0(zero)
| spl12_17
| ~ spl12_25 ),
inference(forward_subsumption_resolution,[],[f9480,f418]) ).
fof(f9486,plain,
( ~ leq(sK0(zero),one)
| spl12_1
| spl12_17
| ~ spl12_25 ),
inference(superposition,[],[f87,f9484]) ).
fof(f9502,plain,
( ~ leq(sK0(zero),sF7)
| spl12_1
| spl12_17
| ~ spl12_25 ),
inference(forward_demodulation,[],[f9486,f162]) ).
fof(f9508,plain,
( ~ leq(sK0(zero),sF4)
| spl12_1
| spl12_17
| ~ spl12_25 ),
inference(forward_demodulation,[],[f9502,f178]) ).
fof(f9512,plain,
( ~ leq(sK0(zero),sK0(zero))
| spl12_1
| spl12_17
| ~ spl12_25 ),
inference(forward_demodulation,[],[f9508,f2227]) ).
fof(f9513,plain,
( $false
| spl12_1
| spl12_17
| ~ spl12_25 ),
inference(forward_subsumption_resolution,[],[f9512,f120]) ).
fof(f9514,plain,
( spl12_1
| spl12_17
| ~ spl12_25 ),
inference(avatar_contradiction_clause,[],[f9513]) ).
fof(f9516,plain,
( ~ leq(one,sK0(zero))
| spl12_2
| spl12_17
| ~ spl12_25 ),
inference(forward_demodulation,[],[f91,f9484]) ).
fof(f9518,plain,
( ~ leq(sF7,sK0(zero))
| spl12_2
| spl12_17
| ~ spl12_25 ),
inference(forward_demodulation,[],[f9516,f162]) ).
fof(f9520,plain,
( ~ leq(sF4,sK0(zero))
| spl12_2
| spl12_17
| ~ spl12_25 ),
inference(forward_demodulation,[],[f9518,f178]) ).
fof(f9522,plain,
( ~ leq(sK0(zero),sK0(zero))
| spl12_2
| spl12_17
| ~ spl12_25 ),
inference(forward_demodulation,[],[f9520,f2227]) ).
fof(f9523,plain,
( $false
| spl12_2
| spl12_17
| ~ spl12_25 ),
inference(forward_subsumption_resolution,[],[f9522,f120]) ).
fof(f9524,plain,
( spl12_2
| spl12_17
| ~ spl12_25 ),
inference(avatar_contradiction_clause,[],[f9523]) ).
fof(f9525,plain,
( spl12_36
| ~ spl12_17 ),
inference(avatar_split_clause,[],[f1771,f416,f1514]) ).
fof(f9526,plain,
( ~ leq(one,sF9)
| spl12_2
| ~ spl12_36 ),
inference(forward_demodulation,[],[f91,f1515]) ).
fof(f9528,plain,
( ~ leq(sF7,sF9)
| spl12_2
| ~ spl12_36 ),
inference(forward_demodulation,[],[f9526,f162]) ).
fof(f9529,plain,
( ~ leq(sF4,sF9)
| spl12_2
| ~ spl12_36 ),
inference(forward_demodulation,[],[f9528,f178]) ).
fof(f9530,plain,
( ~ leq(sK0(zero),sF9)
| spl12_2
| ~ spl12_25
| ~ spl12_36 ),
inference(forward_demodulation,[],[f9529,f2227]) ).
fof(f9532,plain,
( ! [X0] : multiplication(zero,X0) = multiplication(sF6,multiplication(sF3,X0))
| ~ spl12_17 ),
inference(superposition,[],[f233,f417]) ).
fof(f9545,plain,
( ! [X0] : zero = multiplication(sF6,multiplication(sF3,X0))
| ~ spl12_17 ),
inference(forward_demodulation,[],[f9532,f48]) ).
fof(f10586,definition,
( spl12_75
<=> sF9 = sK0(zero) ),
introduced(definition,[new_symbols(definition,[spl12_75])],[avatar_definition]) ).
fof(f10587,plain,
( sF9 = sK0(zero)
| ~ spl12_75 ),
inference(avatar_component_clause,[],[f10586]) ).
fof(f10588,plain,
( sF9 != sK0(zero)
| spl12_75 ),
inference(avatar_component_clause,[],[f10586]) ).
fof(f10938,plain,
! [X0] : multiplication(sF11,X0) = addition(multiplication(sF3,X0),multiplication(sF11,X0)),
inference(superposition,[],[f46,f7603]) ).
fof(f10959,plain,
! [X0] : addition(multiplication(sF6,multiplication(sF3,X0)),addition(multiplication(sF5,X0),multiplication(sF8,X0))) = addition(multiplication(sF3,X0),addition(multiplication(sF6,multiplication(sF3,X0)),addition(multiplication(sF5,X0),multiplication(sF8,X0)))),
inference(forward_demodulation,[],[f10938,f328]) ).
fof(f10970,plain,
! [X0] : addition(multiplication(sF6,multiplication(sF3,X0)),addition(multiplication(sF5,X0),multiplication(sF8,X0))) = addition(multiplication(sF5,X0),addition(multiplication(sF3,X0),addition(multiplication(sF6,multiplication(sF3,X0)),multiplication(sF8,X0)))),
inference(forward_demodulation,[],[f10959,f1986]) ).
fof(f10988,plain,
! [X0] : addition(multiplication(sF6,multiplication(sF3,X0)),addition(multiplication(sF5,X0),multiplication(sF8,X0))) = addition(multiplication(sF3,X0),addition(multiplication(sF5,X0),addition(multiplication(sF6,multiplication(sF3,X0)),multiplication(sF8,X0)))),
inference(forward_demodulation,[],[f10970,f1920]) ).
fof(f10997,plain,
( ! [X0] : addition(zero,addition(multiplication(sF5,X0),multiplication(sF8,X0))) = addition(multiplication(sF3,X0),addition(multiplication(sF5,X0),addition(zero,multiplication(sF8,X0))))
| ~ spl12_17 ),
inference(forward_demodulation,[],[f10988,f9545]) ).
fof(f11006,plain,
( ! [X0] : addition(zero,addition(multiplication(sF5,X0),multiplication(sF8,X0))) = addition(zero,addition(multiplication(sF3,X0),addition(multiplication(sF5,X0),multiplication(sF8,X0))))
| ~ spl12_17 ),
inference(forward_demodulation,[],[f10997,f1986]) ).
fof(f11015,plain,
( ! [X0] : addition(zero,addition(multiplication(sF5,X0),multiplication(sF8,X0))) = addition(multiplication(sF3,X0),addition(multiplication(sF5,X0),multiplication(sF8,X0)))
| ~ spl12_17 ),
inference(forward_demodulation,[],[f11006,f109]) ).
fof(f11024,plain,
( ! [X0] : addition(X0,multiplication(sF5,X0)) = addition(zero,addition(multiplication(sF5,X0),multiplication(sF8,X0)))
| ~ spl12_17 ),
inference(forward_demodulation,[],[f11015,f3602]) ).
fof(f11033,plain,
( ! [X0] : addition(multiplication(sF5,X0),multiplication(sF8,X0)) = addition(X0,multiplication(sF5,X0))
| ~ spl12_17 ),
inference(forward_demodulation,[],[f11024,f109]) ).
fof(f11041,plain,
( ! [X0] : addition(multiplication(sF5,X0),multiplication(sF8,X0)) = X0
| ~ spl12_17 ),
inference(forward_demodulation,[],[f11033,f1585]) ).
fof(f15559,plain,
sF6 = sK0(sF5),
inference(superposition,[],[f659,f6498]) ).
fof(f15867,plain,
( ! [X0] : zero = multiplication(sK0(sF5),multiplication(sF3,X0))
| ~ spl12_17 ),
inference(superposition,[],[f9545,f15559]) ).
fof(f19183,plain,
! [X0] : multiplication(sF9,X0) = addition(multiplication(sF9,multiplication(X0,sF5)),addition(multiplication(sF5,multiplication(X0,sF6)),multiplication(sF8,multiplication(X0,sF6)))),
inference(superposition,[],[f624,f294]) ).
fof(f19185,plain,
! [X0] : multiplication(sF11,X0) = addition(multiplication(sF11,multiplication(X0,sF5)),addition(multiplication(sF6,multiplication(sF3,multiplication(X0,sF6))),addition(multiplication(sF5,multiplication(X0,sF6)),multiplication(sF8,multiplication(X0,sF6))))),
inference(superposition,[],[f624,f328]) ).
fof(f19226,plain,
! [X0] : multiplication(sF11,X0) = addition(multiplication(sF11,multiplication(X0,sF5)),addition(multiplication(sF5,multiplication(X0,sF6)),addition(multiplication(sF6,multiplication(sF3,multiplication(X0,sF6))),multiplication(sF8,multiplication(X0,sF6))))),
inference(forward_demodulation,[],[f19185,f1920]) ).
fof(f19228,plain,
( ! [X0] : multiplication(sF9,X0) = addition(multiplication(sF9,multiplication(X0,sF5)),multiplication(X0,sF6))
| ~ spl12_17 ),
inference(forward_demodulation,[],[f19183,f11041]) ).
fof(f19290,plain,
! [X0] : multiplication(sF11,X0) = addition(multiplication(sF11,multiplication(X0,sF5)),addition(multiplication(sF5,multiplication(X0,sK0(sF5))),addition(multiplication(sK0(sF5),multiplication(sF3,multiplication(X0,sK0(sF5)))),multiplication(sF8,multiplication(X0,sK0(sF5)))))),
inference(forward_demodulation,[],[f19226,f15559]) ).
fof(f19292,plain,
( ! [X0] : multiplication(sF9,X0) = addition(multiplication(sF9,multiplication(X0,sF5)),multiplication(X0,sK0(sF5)))
| ~ spl12_17 ),
inference(forward_demodulation,[],[f19228,f15559]) ).
fof(f19347,plain,
( ! [X0] : multiplication(sF11,X0) = addition(multiplication(sF11,multiplication(X0,sF5)),addition(multiplication(sF5,multiplication(X0,sK0(sF5))),addition(zero,multiplication(sF8,multiplication(X0,sK0(sF5))))))
| ~ spl12_17 ),
inference(forward_demodulation,[],[f19290,f15867]) ).
fof(f19349,plain,
( ! [X0] : multiplication(sF9,X0) = addition(addition(multiplication(sF5,multiplication(X0,sF5)),multiplication(sF8,multiplication(X0,sF5))),multiplication(X0,sK0(sF5)))
| ~ spl12_17 ),
inference(forward_demodulation,[],[f19292,f294]) ).
fof(f19388,plain,
( ! [X0] : multiplication(sF11,X0) = addition(zero,addition(multiplication(sF11,multiplication(X0,sF5)),addition(multiplication(sF5,multiplication(X0,sK0(sF5))),multiplication(sF8,multiplication(X0,sK0(sF5))))))
| ~ spl12_17 ),
inference(forward_demodulation,[],[f19347,f1986]) ).
fof(f19390,plain,
( ! [X0] : multiplication(sF9,X0) = addition(multiplication(sF5,multiplication(X0,sF5)),addition(multiplication(sF8,multiplication(X0,sF5)),multiplication(X0,sK0(sF5))))
| ~ spl12_17 ),
inference(forward_demodulation,[],[f19349,f39]) ).
fof(f19421,plain,
( ! [X0] : multiplication(sF11,X0) = addition(multiplication(sF11,multiplication(X0,sF5)),addition(multiplication(sF5,multiplication(X0,sK0(sF5))),multiplication(sF8,multiplication(X0,sK0(sF5)))))
| ~ spl12_17 ),
inference(forward_demodulation,[],[f19388,f109]) ).
fof(f19423,plain,
( ! [X0] : addition(multiplication(sF5,X0),multiplication(sF8,X0)) = addition(multiplication(sF5,multiplication(X0,sF5)),addition(multiplication(sF8,multiplication(X0,sF5)),multiplication(X0,sK0(sF5))))
| ~ spl12_17 ),
inference(forward_demodulation,[],[f19390,f294]) ).
fof(f19444,plain,
( ! [X0] : multiplication(sF11,X0) = addition(multiplication(sF11,multiplication(X0,sF5)),multiplication(X0,sK0(sF5)))
| ~ spl12_17 ),
inference(forward_demodulation,[],[f19421,f11041]) ).
fof(f19445,plain,
( ! [X0] : addition(multiplication(sF5,multiplication(X0,sF5)),addition(multiplication(sF8,multiplication(X0,sF5)),multiplication(X0,sK0(sF5)))) = X0
| ~ spl12_17 ),
inference(forward_demodulation,[],[f19423,f11041]) ).
fof(f19463,plain,
( ! [X0] : multiplication(sF11,X0) = addition(addition(multiplication(sF6,multiplication(sF3,multiplication(X0,sF5))),addition(multiplication(sF5,multiplication(X0,sF5)),multiplication(sF8,multiplication(X0,sF5)))),multiplication(X0,sK0(sF5)))
| ~ spl12_17 ),
inference(forward_demodulation,[],[f19444,f328]) ).
fof(f19475,plain,
( ! [X0] : multiplication(sF11,X0) = addition(multiplication(sF6,multiplication(sF3,multiplication(X0,sF5))),addition(addition(multiplication(sF5,multiplication(X0,sF5)),multiplication(sF8,multiplication(X0,sF5))),multiplication(X0,sK0(sF5))))
| ~ spl12_17 ),
inference(forward_demodulation,[],[f19463,f39]) ).
fof(f19485,plain,
( ! [X0] : multiplication(sF11,X0) = addition(multiplication(sF6,multiplication(sF3,multiplication(X0,sF5))),addition(multiplication(sF5,multiplication(X0,sF5)),addition(multiplication(sF8,multiplication(X0,sF5)),multiplication(X0,sK0(sF5)))))
| ~ spl12_17 ),
inference(forward_demodulation,[],[f19475,f39]) ).
fof(f19491,plain,
( ! [X0] : multiplication(sF11,X0) = addition(multiplication(sF5,multiplication(X0,sF5)),addition(multiplication(sF6,multiplication(sF3,multiplication(X0,sF5))),addition(multiplication(sF8,multiplication(X0,sF5)),multiplication(X0,sK0(sF5)))))
| ~ spl12_17 ),
inference(forward_demodulation,[],[f19485,f1920]) ).
fof(f19497,plain,
( ! [X0] : multiplication(sF11,X0) = addition(multiplication(sF5,multiplication(X0,sF5)),addition(zero,addition(multiplication(sF8,multiplication(X0,sF5)),multiplication(X0,sK0(sF5)))))
| ~ spl12_17 ),
inference(forward_demodulation,[],[f19491,f9545]) ).
fof(f19503,plain,
( ! [X0] : multiplication(sF11,X0) = addition(zero,addition(multiplication(sF5,multiplication(X0,sF5)),addition(multiplication(sF8,multiplication(X0,sF5)),multiplication(X0,sK0(sF5)))))
| ~ spl12_17 ),
inference(forward_demodulation,[],[f19497,f1920]) ).
fof(f19509,plain,
( ! [X0] : multiplication(sF11,X0) = addition(multiplication(sF5,multiplication(X0,sF5)),addition(multiplication(sF8,multiplication(X0,sF5)),multiplication(X0,sK0(sF5))))
| ~ spl12_17 ),
inference(forward_demodulation,[],[f19503,f109]) ).
fof(f19515,plain,
( ! [X0] : multiplication(sF11,X0) = X0
| ~ spl12_17 ),
inference(forward_demodulation,[],[f19509,f19445]) ).
fof(f19521,plain,
( ! [X0] : multiplication(sF9,X0) = X0
| ~ spl12_17
| ~ spl12_36 ),
inference(forward_demodulation,[],[f19515,f1515]) ).
fof(f20052,plain,
( sF9 = addition(multiplication(sF9,sF6),sK1)
| ~ spl12_17
| ~ spl12_36 ),
inference(superposition,[],[f270,f19521]) ).
fof(f20111,plain,
( sF9 = addition(sK1,multiplication(sF9,sF6))
| ~ spl12_17
| ~ spl12_36 ),
inference(forward_demodulation,[],[f20052,f38]) ).
fof(f20161,plain,
( sF9 = addition(sK1,addition(multiplication(sF5,sF6),multiplication(sF8,sF6)))
| ~ spl12_17
| ~ spl12_36 ),
inference(forward_demodulation,[],[f20111,f294]) ).
fof(f20209,plain,
( addition(sK1,sF6) = sF9
| ~ spl12_17
| ~ spl12_36 ),
inference(forward_demodulation,[],[f20161,f11041]) ).
fof(f20253,plain,
( sF9 = addition(sF6,sK1)
| ~ spl12_17
| ~ spl12_36 ),
inference(forward_demodulation,[],[f20209,f38]) ).
fof(f20286,plain,
( sF7 = sF9
| ~ spl12_17
| ~ spl12_36 ),
inference(forward_demodulation,[],[f20253,f94]) ).
fof(f20309,plain,
( sF4 = sF9
| ~ spl12_17
| ~ spl12_36 ),
inference(forward_demodulation,[],[f20286,f178]) ).
fof(f20328,plain,
( sF9 = sK0(zero)
| ~ spl12_17
| ~ spl12_25
| ~ spl12_36 ),
inference(forward_demodulation,[],[f20309,f2227]) ).
fof(f20342,plain,
( $false
| ~ spl12_17
| ~ spl12_25
| ~ spl12_36
| spl12_75 ),
inference(forward_subsumption_resolution,[],[f20328,f10588]) ).
fof(f20343,plain,
( ~ spl12_17
| ~ spl12_25
| ~ spl12_36
| spl12_75 ),
inference(avatar_contradiction_clause,[],[f20342]) ).
fof(f20834,plain,
( ~ leq(sK0(zero),sK0(zero))
| spl12_2
| ~ spl12_25
| ~ spl12_36
| ~ spl12_75 ),
inference(superposition,[],[f9530,f10587]) ).
fof(f20847,plain,
( $false
| spl12_2
| ~ spl12_25
| ~ spl12_36
| ~ spl12_75 ),
inference(forward_subsumption_resolution,[],[f20834,f120]) ).
fof(f20848,plain,
( spl12_2
| ~ spl12_25
| ~ spl12_36
| ~ spl12_75 ),
inference(avatar_contradiction_clause,[],[f20847]) ).
cnf(s1,plain,
( ~ spl12_1
| ~ spl12_2 ),
inference(sat_conversion,[],[f92]) ).
cnf(s12,plain,
spl12_25,
inference(sat_conversion,[],[f546]) ).
cnf(s39,plain,
( spl12_1
| ~ spl12_17
| ~ spl12_25 ),
inference(sat_conversion,[],[f7277]) ).
cnf(s53,plain,
( spl12_1
| spl12_17
| ~ spl12_25 ),
inference(sat_conversion,[],[f9514]) ).
cnf(s54,plain,
( spl12_2
| spl12_17
| ~ spl12_25 ),
inference(sat_conversion,[],[f9524]) ).
cnf(s55,plain,
( ~ spl12_17
| spl12_36 ),
inference(sat_conversion,[],[f9525]) ).
cnf(s107,plain,
( ~ spl12_17
| ~ spl12_25
| ~ spl12_36
| spl12_75 ),
inference(sat_conversion,[],[f20343]) ).
cnf(s109,plain,
( spl12_2
| ~ spl12_25
| ~ spl12_36
| ~ spl12_75 ),
inference(sat_conversion,[],[f20848]) ).
cnf(s117,plain,
spl12_1,
inference(rat,[],[s39,s53,s12]) ).
cnf(s118,plain,
~ spl12_2,
inference(rat,[],[s1,s117]) ).
cnf(s119,plain,
spl12_17,
inference(rat,[],[s54,s12,s118]) ).
cnf(s123,plain,
spl12_36,
inference(rat,[],[s55,s119]) ).
cnf(s126,plain,
~ spl12_75,
inference(rat,[],[s109,s118,s12,s123]) ).
cnf(s127,plain,
$false,
inference(rat,[],[s107,s119,s12,s126,s123]) ).
fof(f20853,plain,
$false,
inference(avatar_sat_refutation,[],[s127]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE011+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n004.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 12:58:22 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 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
% 2.67/1.00 % (3497660)Will run a generic schedule for satisfiability detection.
% 2.67/1.00 % (3497668)dis+10_1_sil=32000:sp=arity:random_seed=1995505581:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.67/1.00 % (3497666)% WARNING: option uhcvi not known.
% 2.67/1.00 % (3497665)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1828254264_2999 on theBenchmark for (2999ds/0Mi)
% 2.67/1.00 % (3497669)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1996951419:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.67/1.00 % (3497667)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2887711513:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.67/1.00 % (3497670)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=656916327:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.67/1.00 % (3497671)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2506680848:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.67/1.00 % (3497666)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=253670256:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.67/1.00 % TRYING [1]
% 2.67/1.00 % TRYING [2]
% 2.67/1.00 % TRYING [3]
% 2.67/1.00 % TRYING [4]
% 2.67/1.00 % (3497668)Instruction limit reached!
% 2.67/1.00 % (3497668)------------------------------
% 2.67/1.00 % (3497668)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.67/1.00 % (3497668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/1.00 % (3497668)CaDiCaL version: 2.1.3
% 2.67/1.00 % (3497668)Termination reason: Instruction limit
% 2.67/1.00 % (3497668)Termination phase: Saturation
% 2.67/1.00 % (3497668)Time elapsed: 0.035 s
% 2.67/1.00 % (3497668)Peak memory usage: 13 MB
% 2.67/1.00 % (3497668)Instructions burned: 106 (million)
% 2.67/1.00 % TRYING [5]
% 2.67/1.00 % (3497679)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2104748393:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.67/1.00 % TRYING [1]
% 2.67/1.00 % TRYING [2]
% 2.67/1.00 % TRYING [3]
% 2.67/1.00 % TRYING [4]
% 2.67/1.00 % TRYING [5]
% 2.67/1.00 % (3497669)Instruction limit reached!
% 2.67/1.00 % (3497669)------------------------------
% 2.67/1.00 % (3497669)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.67/1.00 % (3497669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/1.00 % (3497669)CaDiCaL version: 2.1.3
% 2.67/1.00 % (3497669)Termination reason: Instruction limit
% 2.67/1.00 % (3497669)Termination phase: Saturation
% 2.67/1.00 % (3497669)Time elapsed: 0.069 s
% 2.67/1.00 % (3497669)Peak memory usage: 13 MB
% 2.67/1.00 % (3497669)Instructions burned: 117 (million)
% 2.67/1.00 % (3497670)Instruction limit reached!
% 2.67/1.00 % (3497670)------------------------------
% 2.67/1.00 % (3497670)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.67/1.00 % (3497670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/1.00 % (3497670)CaDiCaL version: 2.1.3
% 2.67/1.00 % (3497670)Termination reason: Instruction limit
% 2.67/1.00 % (3497670)Termination phase: Saturation
% 2.67/1.00 % (3497670)Time elapsed: 0.071 s
% 2.67/1.00 % (3497670)Peak memory usage: 13 MB
% 2.67/1.00 % (3497670)Instructions burned: 131 (million)
% 2.67/1.00 % TRYING [6]
% 2.67/1.00 % (3497681)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2658254091:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 2.67/1.00 % (3497682)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=3344690663:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.67/1.00 % TRYING [6]
% 2.67/1.00 % (3497671)Instruction limit reached!
% 2.67/1.00 % (3497671)------------------------------
% 2.67/1.00 % (3497671)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.67/1.00 % (3497671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/1.00 % (3497671)CaDiCaL version: 2.1.3
% 2.67/1.00 % (3497671)Termination reason: Instruction limit
% 2.67/1.00 % (3497671)Termination phase: Saturation
% 2.67/1.00 % (3497671)Time elapsed: 0.100 s
% 2.67/1.00 % (3497671)Peak memory usage: 13 MB
% 2.67/1.00 % (3497671)Instructions burned: 159 (million)
% 2.67/1.00 % (3497685)ott-21_1_sil=16000:fs=off:random_seed=130937497:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.67/1.00 % (3497681)Instruction limit reached!
% 2.67/1.00 % (3497681)------------------------------
% 2.67/1.00 % (3497681)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.67/1.00 % (3497681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/1.00 % (3497681)CaDiCaL version: 2.1.3
% 2.67/1.00 % (3497681)Termination reason: Instruction limit
% 2.67/1.00 % (3497681)Termination phase: Saturation
% 2.67/1.00 % (3497681)Time elapsed: 0.086 s
% 2.67/1.00 % (3497681)Peak memory usage: 13 MB
% 2.67/1.00 % (3497681)Instructions burned: 131 (million)
% 2.67/1.00 % (3497687)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3918122018:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 2.67/1.00 % TRYING [7]
% 2.67/1.00 % (3497685)Instruction limit reached!
% 2.67/1.00 % (3497685)------------------------------
% 2.67/1.00 % (3497685)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.67/1.00 % (3497685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/1.00 % (3497685)CaDiCaL version: 2.1.3
% 2.67/1.00 % (3497685)Termination reason: Instruction limit
% 2.67/1.00 % (3497685)Termination phase: Saturation
% 2.67/1.00 % (3497685)Time elapsed: 0.079 s
% 2.67/1.00 % (3497685)Peak memory usage: 12 MB
% 2.67/1.00 % (3497685)Instructions burned: 181 (million)
% 2.67/1.00 % (3497679)Instruction limit reached!
% 2.67/1.00 % (3497679)------------------------------
% 2.67/1.00 % (3497679)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.67/1.00 % (3497679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/1.00 % (3497679)CaDiCaL version: 2.1.3
% 2.67/1.00 % (3497679)Termination reason: Instruction limit
% 2.67/1.00 % (3497679)Termination phase: Finite model building constraint generation
% 2.67/1.00 % (3497679)Time elapsed: 0.166 s
% 2.67/1.00 % (3497679)Peak memory usage: 31 MB
% 2.67/1.00 % (3497679)Instructions burned: 714 (million)
% 2.67/1.00 % TRYING [7]
% 2.67/1.00 % (3497690)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3665351989:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 2.67/1.00 % (3497689)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1934233906:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.67/1.00 % TRYING [1]
% 2.67/1.00 % TRYING [2]
% 2.67/1.00 % TRYING [3]
% 2.67/1.00 % TRYING [4]
% 2.67/1.00 % TRYING [5]
% 2.67/1.00 % TRYING [6]
% 2.67/1.00 % (3497682)Instruction limit reached!
% 2.67/1.00 % (3497682)------------------------------
% 2.67/1.00 % (3497682)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.67/1.00 % (3497682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/1.00 % (3497682)CaDiCaL version: 2.1.3
% 2.67/1.00 % (3497682)Termination reason: Instruction limit
% 2.67/1.00 % (3497682)Termination phase: Saturation
% 2.67/1.00 % (3497682)Time elapsed: 0.378 s
% 2.67/1.00 % (3497682)Peak memory usage: 19 MB
% 2.67/1.00 % (3497682)Instructions burned: 684 (million)
% 2.67/1.00 % (3497687)Instruction limit reached!
% 2.67/1.00 % (3497687)------------------------------
% 2.67/1.00 % (3497687)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.67/1.00 % (3497687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/1.00 % (3497687)CaDiCaL version: 2.1.3
% 2.67/1.00 % (3497687)Termination reason: Instruction limit
% 2.67/1.00 % (3497687)Termination phase: Saturation
% 2.67/1.00 % (3497687)Time elapsed: 0.288 s
% 2.67/1.00 % (3497687)Peak memory usage: 16 MB
% 2.67/1.00 % (3497687)Instructions burned: 478 (million)
% 2.67/1.00 % (3497693)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1899446490:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 2.67/1.00 % (3497694)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=1658838524: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)
% 2.67/1.00 % TRYING [8]
% 2.67/1.00 % (3497690) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3497660-3497690"...
% 2.67/1.00 % (3497690)...printing done.
% 2.67/1.00 % (3497690)Refutation found. Thanks to Tanya!
% 2.67/1.00 % SZS status Theorem for theBenchmark
% 2.67/1.00 % SZS output start Proof for theBenchmark
% See solution above
% 2.67/1.01 % (3497690)------------------------------
% 2.67/1.01 % (3497690)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.67/1.01 % (3497690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/1.01 % (3497690)CaDiCaL version: 2.1.3
% 2.67/1.01 % (3497690)Termination reason: Refutation
% 2.67/1.01 % (3497690)Time elapsed: 0.332 s
% 2.67/1.01 % (3497690)Peak memory usage: 20 MB
% 2.67/1.01 % (3497690)Instructions burned: 1181 (million)
% 2.67/1.01 % (3497660)Success in time 0.587 s
% 2.67/1.01 % Vampire exiting
%------------------------------------------------------------------------------