TSTP Solution File: KLE027+2 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : KLE027+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 17:27:43 EDT 2022
% Result : Theorem 0.21s 0.57s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 14
% Syntax : Number of formulae : 85 ( 36 unt; 0 def)
% Number of atoms : 187 ( 75 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 166 ( 64 ~; 54 |; 33 &)
% ( 8 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 119 ( 99 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f588,plain,
$false,
inference(avatar_sat_refutation,[],[f86,f577,f587]) ).
fof(f587,plain,
( ~ spl6_1
| spl6_2 ),
inference(avatar_contradiction_clause,[],[f586]) ).
fof(f586,plain,
( $false
| ~ spl6_1
| spl6_2 ),
inference(subsumption_resolution,[],[f585,f582]) ).
fof(f582,plain,
( leq(addition(multiplication(sK2,sK4),multiplication(c(sK2),sK5)),addition(multiplication(sK2,sK4),multiplication(c(sK2),sK5)))
| ~ spl6_1 ),
inference(forward_demodulation,[],[f581,f51]) ).
fof(f51,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(rectify,[],[f23]) ).
fof(f23,plain,
! [X1,X0] : addition(X0,X1) = addition(X1,X0),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f581,plain,
( leq(addition(multiplication(c(sK2),sK5),multiplication(sK2,sK4)),addition(multiplication(sK2,sK4),multiplication(c(sK2),sK5)))
| ~ spl6_1 ),
inference(forward_demodulation,[],[f580,f560]) ).
fof(f560,plain,
! [X4] : multiplication(sK2,X4) = multiplication(sK2,multiplication(sK2,X4)),
inference(superposition,[],[f58,f511]) ).
fof(f511,plain,
multiplication(sK2,sK2) = sK2,
inference(forward_demodulation,[],[f497,f59]) ).
fof(f59,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f497,plain,
multiplication(sK2,sK2) = multiplication(sK2,one),
inference(superposition,[],[f123,f131]) ).
fof(f131,plain,
one = addition(sK2,c(sK2)),
inference(superposition,[],[f51,f94]) ).
fof(f94,plain,
one = addition(c(sK2),sK2),
inference(unit_resulting_resolution,[],[f87,f62]) ).
fof(f62,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( ( complement(X1,X0)
| addition(X0,X1) != one
| zero != multiplication(X0,X1)
| zero != multiplication(X1,X0) )
& ( ( addition(X0,X1) = one
& zero = multiplication(X0,X1)
& zero = multiplication(X1,X0) )
| ~ complement(X1,X0) ) ),
inference(rectify,[],[f42]) ).
fof(f42,plain,
! [X1,X0] :
( ( complement(X0,X1)
| addition(X1,X0) != one
| zero != multiplication(X1,X0)
| zero != multiplication(X0,X1) )
& ( ( addition(X1,X0) = one
& zero = multiplication(X1,X0)
& zero = multiplication(X0,X1) )
| ~ complement(X0,X1) ) ),
inference(flattening,[],[f41]) ).
fof(f41,plain,
! [X1,X0] :
( ( complement(X0,X1)
| addition(X1,X0) != one
| zero != multiplication(X1,X0)
| zero != multiplication(X0,X1) )
& ( ( addition(X1,X0) = one
& zero = multiplication(X1,X0)
& zero = multiplication(X0,X1) )
| ~ complement(X0,X1) ) ),
inference(nnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X1,X0] :
( complement(X0,X1)
<=> ( addition(X1,X0) = one
& zero = multiplication(X1,X0)
& zero = multiplication(X0,X1) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X4,X3] :
( complement(X4,X3)
<=> ( zero = multiplication(X3,X4)
& zero = multiplication(X4,X3)
& one = addition(X3,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',test_2) ).
fof(f87,plain,
complement(sK2,c(sK2)),
inference(unit_resulting_resolution,[],[f69,f75]) ).
fof(f75,plain,
! [X0] :
( complement(X0,c(X0))
| ~ test(X0) ),
inference(equality_resolution,[],[f67]) ).
fof(f67,plain,
! [X0,X1] :
( complement(X0,X1)
| c(X0) != X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( ( ( complement(X0,X1)
| c(X0) != X1 )
& ( c(X0) = X1
| ~ complement(X0,X1) ) )
| ~ test(X0) ),
inference(rectify,[],[f45]) ).
fof(f45,plain,
! [X1,X0] :
( ( ( complement(X1,X0)
| c(X1) != X0 )
& ( c(X1) = X0
| ~ complement(X1,X0) ) )
| ~ test(X1) ),
inference(nnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X1,X0] :
( ( complement(X1,X0)
<=> c(X1) = X0 )
| ~ test(X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1] :
( test(X1)
=> ( complement(X1,X0)
<=> c(X1) = X0 ) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X4,X3] :
( test(X3)
=> ( complement(X3,X4)
<=> c(X3) = X4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',test_3) ).
fof(f69,plain,
test(sK2),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
( test(sK3)
& ( ~ leq(addition(multiplication(sK2,addition(multiplication(sK2,sK4),multiplication(c(sK2),sK1))),multiplication(c(sK2),sK5)),addition(multiplication(sK2,sK4),multiplication(c(sK2),sK5)))
| ~ leq(addition(multiplication(sK2,sK4),multiplication(c(sK2),sK5)),addition(multiplication(sK2,addition(multiplication(sK2,sK4),multiplication(c(sK2),sK1))),multiplication(c(sK2),sK5))) )
& test(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5])],[f47,f48]) ).
fof(f48,plain,
( ? [X0,X1,X2,X3,X4] :
( test(X2)
& ( ~ leq(addition(multiplication(X1,addition(multiplication(X1,X3),multiplication(c(X1),X0))),multiplication(c(X1),X4)),addition(multiplication(X1,X3),multiplication(c(X1),X4)))
| ~ leq(addition(multiplication(X1,X3),multiplication(c(X1),X4)),addition(multiplication(X1,addition(multiplication(X1,X3),multiplication(c(X1),X0))),multiplication(c(X1),X4))) )
& test(X1) )
=> ( test(sK3)
& ( ~ leq(addition(multiplication(sK2,addition(multiplication(sK2,sK4),multiplication(c(sK2),sK1))),multiplication(c(sK2),sK5)),addition(multiplication(sK2,sK4),multiplication(c(sK2),sK5)))
| ~ leq(addition(multiplication(sK2,sK4),multiplication(c(sK2),sK5)),addition(multiplication(sK2,addition(multiplication(sK2,sK4),multiplication(c(sK2),sK1))),multiplication(c(sK2),sK5))) )
& test(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
? [X0,X1,X2,X3,X4] :
( test(X2)
& ( ~ leq(addition(multiplication(X1,addition(multiplication(X1,X3),multiplication(c(X1),X0))),multiplication(c(X1),X4)),addition(multiplication(X1,X3),multiplication(c(X1),X4)))
| ~ leq(addition(multiplication(X1,X3),multiplication(c(X1),X4)),addition(multiplication(X1,addition(multiplication(X1,X3),multiplication(c(X1),X0))),multiplication(c(X1),X4))) )
& test(X1) ),
inference(rectify,[],[f34]) ).
fof(f34,plain,
? [X1,X2,X0,X4,X3] :
( test(X0)
& ( ~ leq(addition(multiplication(X2,addition(multiplication(X2,X4),multiplication(c(X2),X1))),multiplication(c(X2),X3)),addition(multiplication(X2,X4),multiplication(c(X2),X3)))
| ~ leq(addition(multiplication(X2,X4),multiplication(c(X2),X3)),addition(multiplication(X2,addition(multiplication(X2,X4),multiplication(c(X2),X1))),multiplication(c(X2),X3))) )
& test(X2) ),
inference(flattening,[],[f33]) ).
fof(f33,plain,
? [X4,X2,X3,X1,X0] :
( ( ~ leq(addition(multiplication(X2,addition(multiplication(X2,X4),multiplication(c(X2),X1))),multiplication(c(X2),X3)),addition(multiplication(X2,X4),multiplication(c(X2),X3)))
| ~ leq(addition(multiplication(X2,X4),multiplication(c(X2),X3)),addition(multiplication(X2,addition(multiplication(X2,X4),multiplication(c(X2),X1))),multiplication(c(X2),X3))) )
& test(X0)
& test(X2) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
~ ! [X4,X2,X3,X1,X0] :
( ( test(X0)
& test(X2) )
=> ( leq(addition(multiplication(X2,addition(multiplication(X2,X4),multiplication(c(X2),X1))),multiplication(c(X2),X3)),addition(multiplication(X2,X4),multiplication(c(X2),X3)))
& leq(addition(multiplication(X2,X4),multiplication(c(X2),X3)),addition(multiplication(X2,addition(multiplication(X2,X4),multiplication(c(X2),X1))),multiplication(c(X2),X3))) ) ),
inference(rectify,[],[f18]) ).
fof(f18,negated_conjecture,
~ ! [X7,X4,X6,X5,X3] :
( ( test(X7)
& test(X6) )
=> ( leq(addition(multiplication(X6,X3),multiplication(c(X6),X5)),addition(multiplication(X6,addition(multiplication(X6,X3),multiplication(c(X6),X4))),multiplication(c(X6),X5)))
& leq(addition(multiplication(X6,addition(multiplication(X6,X3),multiplication(c(X6),X4))),multiplication(c(X6),X5)),addition(multiplication(X6,X3),multiplication(c(X6),X5))) ) ),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
! [X7,X4,X6,X5,X3] :
( ( test(X7)
& test(X6) )
=> ( leq(addition(multiplication(X6,X3),multiplication(c(X6),X5)),addition(multiplication(X6,addition(multiplication(X6,X3),multiplication(c(X6),X4))),multiplication(c(X6),X5)))
& leq(addition(multiplication(X6,addition(multiplication(X6,X3),multiplication(c(X6),X4))),multiplication(c(X6),X5)),addition(multiplication(X6,X3),multiplication(c(X6),X5))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f123,plain,
! [X0] : multiplication(sK2,X0) = multiplication(sK2,addition(X0,c(sK2))),
inference(forward_demodulation,[],[f115,f57]) ).
fof(f57,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity) ).
fof(f115,plain,
! [X0] : addition(multiplication(sK2,X0),zero) = multiplication(sK2,addition(X0,c(sK2))),
inference(superposition,[],[f64,f93]) ).
fof(f93,plain,
zero = multiplication(sK2,c(sK2)),
inference(unit_resulting_resolution,[],[f87,f60]) ).
fof(f60,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X1,X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f64,plain,
! [X2,X0,X1] : addition(multiplication(X1,X0),multiplication(X1,X2)) = multiplication(X1,addition(X0,X2)),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1,X2] : addition(multiplication(X1,X0),multiplication(X1,X2)) = multiplication(X1,addition(X0,X2)),
inference(rectify,[],[f21]) ).
fof(f21,plain,
! [X1,X2,X0] : addition(multiplication(X2,X1),multiplication(X2,X0)) = multiplication(X2,addition(X1,X0)),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X2,X1,X0] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_distributivity) ).
fof(f58,plain,
! [X2,X0,X1] : multiplication(multiplication(X2,X1),X0) = multiplication(X2,multiplication(X1,X0)),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1,X2] : multiplication(multiplication(X2,X1),X0) = multiplication(X2,multiplication(X1,X0)),
inference(rectify,[],[f26]) ).
fof(f26,plain,
! [X1,X2,X0] : multiplication(X0,multiplication(X2,X1)) = multiplication(multiplication(X0,X2),X1),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X0,X2,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_associativity) ).
fof(f580,plain,
( leq(addition(multiplication(c(sK2),sK5),multiplication(sK2,multiplication(sK2,sK4))),addition(multiplication(sK2,sK4),multiplication(c(sK2),sK5)))
| ~ spl6_1 ),
inference(forward_demodulation,[],[f80,f365]) ).
fof(f365,plain,
! [X2,X1] : multiplication(sK2,X2) = multiplication(sK2,addition(X2,multiplication(c(sK2),X1))),
inference(forward_demodulation,[],[f358,f57]) ).
fof(f358,plain,
! [X2,X1] : addition(multiplication(sK2,X2),zero) = multiplication(sK2,addition(X2,multiplication(c(sK2),X1))),
inference(superposition,[],[f64,f122]) ).
fof(f122,plain,
! [X4] : zero = multiplication(sK2,multiplication(c(sK2),X4)),
inference(forward_demodulation,[],[f119,f53]) ).
fof(f53,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] : zero = multiplication(zero,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_annihilation) ).
fof(f119,plain,
! [X4] : multiplication(zero,X4) = multiplication(sK2,multiplication(c(sK2),X4)),
inference(superposition,[],[f58,f93]) ).
fof(f80,plain,
( leq(addition(multiplication(c(sK2),sK5),multiplication(sK2,addition(multiplication(sK2,sK4),multiplication(c(sK2),sK1)))),addition(multiplication(sK2,sK4),multiplication(c(sK2),sK5)))
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f79,plain,
( spl6_1
<=> leq(addition(multiplication(c(sK2),sK5),multiplication(sK2,addition(multiplication(sK2,sK4),multiplication(c(sK2),sK1)))),addition(multiplication(sK2,sK4),multiplication(c(sK2),sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
fof(f585,plain,
( ~ leq(addition(multiplication(sK2,sK4),multiplication(c(sK2),sK5)),addition(multiplication(sK2,sK4),multiplication(c(sK2),sK5)))
| spl6_2 ),
inference(forward_demodulation,[],[f584,f51]) ).
fof(f584,plain,
( ~ leq(addition(multiplication(sK2,sK4),multiplication(c(sK2),sK5)),addition(multiplication(c(sK2),sK5),multiplication(sK2,sK4)))
| spl6_2 ),
inference(forward_demodulation,[],[f583,f560]) ).
fof(f583,plain,
( ~ leq(addition(multiplication(sK2,sK4),multiplication(c(sK2),sK5)),addition(multiplication(c(sK2),sK5),multiplication(sK2,multiplication(sK2,sK4))))
| spl6_2 ),
inference(forward_demodulation,[],[f85,f365]) ).
fof(f85,plain,
( ~ leq(addition(multiplication(sK2,sK4),multiplication(c(sK2),sK5)),addition(multiplication(c(sK2),sK5),multiplication(sK2,addition(multiplication(sK2,sK4),multiplication(c(sK2),sK1)))))
| spl6_2 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f83,plain,
( spl6_2
<=> leq(addition(multiplication(sK2,sK4),multiplication(c(sK2),sK5)),addition(multiplication(c(sK2),sK5),multiplication(sK2,addition(multiplication(sK2,sK4),multiplication(c(sK2),sK1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
fof(f577,plain,
spl6_1,
inference(avatar_contradiction_clause,[],[f576]) ).
fof(f576,plain,
( $false
| spl6_1 ),
inference(subsumption_resolution,[],[f575,f74]) ).
fof(f74,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_idempotence) ).
fof(f575,plain,
( addition(multiplication(sK2,sK4),multiplication(c(sK2),sK5)) != addition(addition(multiplication(sK2,sK4),multiplication(c(sK2),sK5)),addition(multiplication(sK2,sK4),multiplication(c(sK2),sK5)))
| spl6_1 ),
inference(forward_demodulation,[],[f567,f51]) ).
fof(f567,plain,
( addition(multiplication(sK2,sK4),multiplication(c(sK2),sK5)) != addition(addition(multiplication(sK2,sK4),multiplication(c(sK2),sK5)),addition(multiplication(c(sK2),sK5),multiplication(sK2,sK4)))
| spl6_1 ),
inference(backward_demodulation,[],[f367,f560]) ).
fof(f367,plain,
( addition(multiplication(sK2,sK4),multiplication(c(sK2),sK5)) != addition(addition(multiplication(sK2,sK4),multiplication(c(sK2),sK5)),addition(multiplication(c(sK2),sK5),multiplication(sK2,multiplication(sK2,sK4))))
| spl6_1 ),
inference(backward_demodulation,[],[f125,f365]) ).
fof(f125,plain,
( addition(multiplication(sK2,sK4),multiplication(c(sK2),sK5)) != addition(addition(multiplication(sK2,sK4),multiplication(c(sK2),sK5)),addition(multiplication(c(sK2),sK5),multiplication(sK2,addition(multiplication(sK2,sK4),multiplication(c(sK2),sK1)))))
| spl6_1 ),
inference(superposition,[],[f96,f51]) ).
fof(f96,plain,
( addition(multiplication(sK2,sK4),multiplication(c(sK2),sK5)) != addition(addition(multiplication(c(sK2),sK5),multiplication(sK2,addition(multiplication(sK2,sK4),multiplication(c(sK2),sK1)))),addition(multiplication(sK2,sK4),multiplication(c(sK2),sK5)))
| spl6_1 ),
inference(unit_resulting_resolution,[],[f81,f65]) ).
fof(f65,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1] :
( addition(X0,X1) = X1
=> leq(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f12]) ).
fof(f12,axiom,
! [X0,X1] :
( addition(X0,X1) = X1
<=> leq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',order) ).
fof(f81,plain,
( ~ leq(addition(multiplication(c(sK2),sK5),multiplication(sK2,addition(multiplication(sK2,sK4),multiplication(c(sK2),sK1)))),addition(multiplication(sK2,sK4),multiplication(c(sK2),sK5)))
| spl6_1 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f86,plain,
( ~ spl6_1
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f77,f83,f79]) ).
fof(f77,plain,
( ~ leq(addition(multiplication(sK2,sK4),multiplication(c(sK2),sK5)),addition(multiplication(c(sK2),sK5),multiplication(sK2,addition(multiplication(sK2,sK4),multiplication(c(sK2),sK1)))))
| ~ leq(addition(multiplication(c(sK2),sK5),multiplication(sK2,addition(multiplication(sK2,sK4),multiplication(c(sK2),sK1)))),addition(multiplication(sK2,sK4),multiplication(c(sK2),sK5))) ),
inference(forward_demodulation,[],[f76,f51]) ).
fof(f76,plain,
( ~ leq(addition(multiplication(c(sK2),sK5),multiplication(sK2,addition(multiplication(sK2,sK4),multiplication(c(sK2),sK1)))),addition(multiplication(sK2,sK4),multiplication(c(sK2),sK5)))
| ~ leq(addition(multiplication(sK2,sK4),multiplication(c(sK2),sK5)),addition(multiplication(sK2,addition(multiplication(sK2,sK4),multiplication(c(sK2),sK1))),multiplication(c(sK2),sK5))) ),
inference(forward_demodulation,[],[f70,f51]) ).
fof(f70,plain,
( ~ leq(addition(multiplication(sK2,addition(multiplication(sK2,sK4),multiplication(c(sK2),sK1))),multiplication(c(sK2),sK5)),addition(multiplication(sK2,sK4),multiplication(c(sK2),sK5)))
| ~ leq(addition(multiplication(sK2,sK4),multiplication(c(sK2),sK5)),addition(multiplication(sK2,addition(multiplication(sK2,sK4),multiplication(c(sK2),sK1))),multiplication(c(sK2),sK5))) ),
inference(cnf_transformation,[],[f49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : KLE027+2 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 00:26:54 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.53 % (18489)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.21/0.53 % (18488)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.21/0.54 % (18499)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.21/0.54 % (18482)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.54 % (18487)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.21/0.54 % (18482)Instruction limit reached!
% 0.21/0.54 % (18482)------------------------------
% 0.21/0.54 % (18482)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (18482)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (18482)Termination reason: Unknown
% 0.21/0.54 % (18482)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (18482)Memory used [KB]: 5884
% 0.21/0.54 % (18482)Time elapsed: 0.133 s
% 0.21/0.54 % (18482)Instructions burned: 4 (million)
% 0.21/0.54 % (18482)------------------------------
% 0.21/0.54 % (18482)------------------------------
% 0.21/0.54 % (18485)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.21/0.54 % (18497)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.54 % (18486)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.21/0.54 % (18484)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.54 % (18507)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.21/0.54 % (18500)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.21/0.54 % (18502)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.21/0.54 % (18492)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.55 % (18493)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.55 % (18503)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.21/0.55 % (18481)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.55 % (18498)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.55 % (18498)Instruction limit reached!
% 0.21/0.55 % (18498)------------------------------
% 0.21/0.55 % (18498)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (18498)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (18499)Refutation not found, incomplete strategy% (18499)------------------------------
% 0.21/0.55 % (18499)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (18499)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (18499)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.55
% 0.21/0.55 % (18499)Memory used [KB]: 5884
% 0.21/0.55 % (18499)Time elapsed: 0.142 s
% 0.21/0.55 % (18499)Instructions burned: 3 (million)
% 0.21/0.55 % (18499)------------------------------
% 0.21/0.55 % (18499)------------------------------
% 0.21/0.55 % (18498)Termination reason: Unknown
% 0.21/0.55 % (18498)Termination phase: shuffling
% 0.21/0.55
% 0.21/0.55 % (18498)Memory used [KB]: 1407
% 0.21/0.55 % (18498)Time elapsed: 0.004 s
% 0.21/0.55 % (18498)Instructions burned: 2 (million)
% 0.21/0.55 % (18498)------------------------------
% 0.21/0.55 % (18498)------------------------------
% 0.21/0.55 % (18481)Refutation not found, incomplete strategy% (18481)------------------------------
% 0.21/0.55 % (18481)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (18481)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (18481)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.55
% 0.21/0.55 % (18481)Memory used [KB]: 5884
% 0.21/0.55 % (18481)Time elapsed: 0.140 s
% 0.21/0.55 % (18481)Instructions burned: 3 (million)
% 0.21/0.55 % (18481)------------------------------
% 0.21/0.55 % (18481)------------------------------
% 0.21/0.55 % (18501)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.55 % (18490)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.21/0.55 % (18505)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.21/0.55 % (18497)Instruction limit reached!
% 0.21/0.55 % (18497)------------------------------
% 0.21/0.55 % (18497)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (18497)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (18497)Termination reason: Unknown
% 0.21/0.55 % (18497)Termination phase: Finite model building preprocessing
% 0.21/0.55
% 0.21/0.55 % (18497)Memory used [KB]: 5884
% 0.21/0.55 % (18497)Time elapsed: 0.004 s
% 0.21/0.55 % (18497)Instructions burned: 4 (million)
% 0.21/0.55 % (18497)------------------------------
% 0.21/0.55 % (18497)------------------------------
% 0.21/0.55 % (18494)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.55 % (18480)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.55 % (18504)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.55 % (18494)Instruction limit reached!
% 0.21/0.55 % (18494)------------------------------
% 0.21/0.55 % (18494)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (18494)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (18494)Termination reason: Unknown
% 0.21/0.55 % (18494)Termination phase: Saturation
% 0.21/0.55
% 0.21/0.55 % (18494)Memory used [KB]: 6012
% 0.21/0.55 % (18494)Time elapsed: 0.102 s
% 0.21/0.55 % (18494)Instructions burned: 4 (million)
% 0.21/0.55 % (18494)------------------------------
% 0.21/0.55 % (18494)------------------------------
% 0.21/0.55 % (18483)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.55 % (18504)Refutation not found, incomplete strategy% (18504)------------------------------
% 0.21/0.55 % (18504)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (18504)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (18504)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.55
% 0.21/0.55 % (18504)Memory used [KB]: 6012
% 0.21/0.55 % (18504)Time elapsed: 0.144 s
% 0.21/0.55 % (18504)Instructions burned: 4 (million)
% 0.21/0.55 % (18504)------------------------------
% 0.21/0.55 % (18504)------------------------------
% 0.21/0.55 % (18509)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.21/0.55 % (18506)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.56 % (18492)Instruction limit reached!
% 0.21/0.56 % (18492)------------------------------
% 0.21/0.56 % (18492)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (18492)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (18492)Termination reason: Unknown
% 0.21/0.56 % (18492)Termination phase: Saturation
% 0.21/0.56
% 0.21/0.56 % (18492)Memory used [KB]: 1663
% 0.21/0.56 % (18492)Time elapsed: 0.142 s
% 0.21/0.56 % (18492)Instructions burned: 17 (million)
% 0.21/0.56 % (18492)------------------------------
% 0.21/0.56 % (18492)------------------------------
% 0.21/0.56 % (18496)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.56 % (18508)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.21/0.56 % (18491)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.56 % (18484)Instruction limit reached!
% 0.21/0.56 % (18484)------------------------------
% 0.21/0.56 % (18484)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (18484)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (18484)Termination reason: Unknown
% 0.21/0.56 % (18484)Termination phase: Saturation
% 0.21/0.56
% 0.21/0.56 % (18484)Memory used [KB]: 6140
% 0.21/0.56 % (18484)Time elapsed: 0.138 s
% 0.21/0.56 % (18484)Instructions burned: 13 (million)
% 0.21/0.56 % (18484)------------------------------
% 0.21/0.56 % (18484)------------------------------
% 0.21/0.56 % (18495)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.56 % (18508)Instruction limit reached!
% 0.21/0.56 % (18508)------------------------------
% 0.21/0.56 % (18508)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (18508)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (18508)Termination reason: Unknown
% 0.21/0.56 % (18508)Termination phase: Saturation
% 0.21/0.56
% 0.21/0.56 % (18508)Memory used [KB]: 6140
% 0.21/0.56 % (18508)Time elapsed: 0.161 s
% 0.21/0.56 % (18508)Instructions burned: 10 (million)
% 0.21/0.56 % (18508)------------------------------
% 0.21/0.56 % (18508)------------------------------
% 0.21/0.56 % (18491)Instruction limit reached!
% 0.21/0.56 % (18491)------------------------------
% 0.21/0.56 % (18491)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (18491)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (18491)Termination reason: Unknown
% 0.21/0.56 % (18491)Termination phase: Saturation
% 0.21/0.56
% 0.21/0.56 % (18491)Memory used [KB]: 6012
% 0.21/0.56 % (18491)Time elapsed: 0.163 s
% 0.21/0.56 % (18491)Instructions burned: 8 (million)
% 0.21/0.56 % (18491)------------------------------
% 0.21/0.56 % (18491)------------------------------
% 0.21/0.56 % (18485)Instruction limit reached!
% 0.21/0.56 % (18485)------------------------------
% 0.21/0.56 % (18485)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (18485)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (18485)Termination reason: Unknown
% 0.21/0.56 % (18485)Termination phase: Saturation
% 0.21/0.56
% 0.21/0.56 % (18485)Memory used [KB]: 1663
% 0.21/0.56 % (18485)Time elapsed: 0.142 s
% 0.21/0.56 % (18485)Instructions burned: 15 (million)
% 0.21/0.56 % (18485)------------------------------
% 0.21/0.56 % (18485)------------------------------
% 0.21/0.56 % (18500)Refutation not found, incomplete strategy% (18500)------------------------------
% 0.21/0.56 % (18500)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (18500)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (18500)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.56
% 0.21/0.56 % (18500)Memory used [KB]: 6012
% 0.21/0.56 % (18500)Time elapsed: 0.139 s
% 0.21/0.56 % (18500)Instructions burned: 5 (million)
% 0.21/0.56 % (18500)------------------------------
% 0.21/0.56 % (18500)------------------------------
% 0.21/0.56 % (18490)Refutation not found, incomplete strategy% (18490)------------------------------
% 0.21/0.56 % (18490)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (18490)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (18490)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.56
% 0.21/0.56 % (18490)Memory used [KB]: 5884
% 0.21/0.56 % (18490)Time elapsed: 0.147 s
% 0.21/0.56 % (18490)Instructions burned: 3 (million)
% 0.21/0.56 % (18490)------------------------------
% 0.21/0.56 % (18490)------------------------------
% 0.21/0.56 % (18489)First to succeed.
% 0.21/0.57 % (18489)Refutation found. Thanks to Tanya!
% 0.21/0.57 % SZS status Theorem for theBenchmark
% 0.21/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.57 % (18489)------------------------------
% 0.21/0.57 % (18489)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (18489)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (18489)Termination reason: Refutation
% 0.21/0.57
% 0.21/0.57 % (18489)Memory used [KB]: 6396
% 0.21/0.57 % (18489)Time elapsed: 0.157 s
% 0.21/0.57 % (18489)Instructions burned: 28 (million)
% 0.21/0.57 % (18489)------------------------------
% 0.21/0.57 % (18489)------------------------------
% 0.21/0.57 % (18479)Success in time 0.205 s
%------------------------------------------------------------------------------