TSTP Solution File: SEU227+3 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU227+3 : TPTP v8.1.0. Released v3.2.0.
% 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 : n005.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 18:27:42 EDT 2022
% Result : Theorem 0.19s 0.54s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 16
% Syntax : Number of formulae : 59 ( 10 unt; 0 def)
% Number of atoms : 310 ( 29 equ)
% Maximal formula atoms : 15 ( 5 avg)
% Number of connectives : 380 ( 129 ~; 127 |; 83 &)
% ( 19 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 2 con; 0-3 aty)
% Number of variables : 217 ( 165 !; 52 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f550,plain,
$false,
inference(subsumption_resolution,[],[f536,f535]) ).
fof(f535,plain,
~ in(sK6(sK16,sK13(relation_inverse_image(sK16,relation_image(sK16,sK17)),sK17)),relation_image(sK16,sK17)),
inference(unit_resulting_resolution,[],[f157,f187,f295,f178]) ).
fof(f178,plain,
! [X0,X1,X8,X6] :
( ~ in(ordered_pair(X6,X8),X0)
| ~ in(X8,X1)
| ~ relation(X0)
| in(X6,relation_inverse_image(X0,X1)) ),
inference(equality_resolution,[],[f121]) ).
fof(f121,plain,
! [X2,X0,X1,X8,X6] :
( ~ relation(X0)
| in(X6,X2)
| ~ in(X8,X1)
| ~ in(ordered_pair(X6,X8),X0)
| relation_inverse_image(X0,X1) != X2 ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0] :
( ~ relation(X0)
| ! [X1,X2] :
( ( relation_inverse_image(X0,X1) = X2
| ( ( ~ in(sK1(X0,X1,X2),X2)
| ! [X4] :
( ~ in(X4,X1)
| ~ in(ordered_pair(sK1(X0,X1,X2),X4),X0) ) )
& ( in(sK1(X0,X1,X2),X2)
| ( in(sK2(X0,X1,X2),X1)
& in(ordered_pair(sK1(X0,X1,X2),sK2(X0,X1,X2)),X0) ) ) ) )
& ( ! [X6] :
( ( ( in(sK3(X0,X1,X6),X1)
& in(ordered_pair(X6,sK3(X0,X1,X6)),X0) )
| ~ in(X6,X2) )
& ( in(X6,X2)
| ! [X8] :
( ~ in(X8,X1)
| ~ in(ordered_pair(X6,X8),X0) ) ) )
| relation_inverse_image(X0,X1) != X2 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f76,f79,f78,f77]) ).
fof(f77,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ~ in(X3,X2)
| ! [X4] :
( ~ in(X4,X1)
| ~ in(ordered_pair(X3,X4),X0) ) )
& ( in(X3,X2)
| ? [X5] :
( in(X5,X1)
& in(ordered_pair(X3,X5),X0) ) ) )
=> ( ( ~ in(sK1(X0,X1,X2),X2)
| ! [X4] :
( ~ in(X4,X1)
| ~ in(ordered_pair(sK1(X0,X1,X2),X4),X0) ) )
& ( in(sK1(X0,X1,X2),X2)
| ? [X5] :
( in(X5,X1)
& in(ordered_pair(sK1(X0,X1,X2),X5),X0) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f78,plain,
! [X0,X1,X2] :
( ? [X5] :
( in(X5,X1)
& in(ordered_pair(sK1(X0,X1,X2),X5),X0) )
=> ( in(sK2(X0,X1,X2),X1)
& in(ordered_pair(sK1(X0,X1,X2),sK2(X0,X1,X2)),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f79,plain,
! [X0,X1,X6] :
( ? [X7] :
( in(X7,X1)
& in(ordered_pair(X6,X7),X0) )
=> ( in(sK3(X0,X1,X6),X1)
& in(ordered_pair(X6,sK3(X0,X1,X6)),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
! [X0] :
( ~ relation(X0)
| ! [X1,X2] :
( ( relation_inverse_image(X0,X1) = X2
| ? [X3] :
( ( ~ in(X3,X2)
| ! [X4] :
( ~ in(X4,X1)
| ~ in(ordered_pair(X3,X4),X0) ) )
& ( in(X3,X2)
| ? [X5] :
( in(X5,X1)
& in(ordered_pair(X3,X5),X0) ) ) ) )
& ( ! [X6] :
( ( ? [X7] :
( in(X7,X1)
& in(ordered_pair(X6,X7),X0) )
| ~ in(X6,X2) )
& ( in(X6,X2)
| ! [X8] :
( ~ in(X8,X1)
| ~ in(ordered_pair(X6,X8),X0) ) ) )
| relation_inverse_image(X0,X1) != X2 ) ) ),
inference(rectify,[],[f75]) ).
fof(f75,plain,
! [X0] :
( ~ relation(X0)
| ! [X2,X1] :
( ( relation_inverse_image(X0,X2) = X1
| ? [X3] :
( ( ~ in(X3,X1)
| ! [X4] :
( ~ in(X4,X2)
| ~ in(ordered_pair(X3,X4),X0) ) )
& ( in(X3,X1)
| ? [X4] :
( in(X4,X2)
& in(ordered_pair(X3,X4),X0) ) ) ) )
& ( ! [X3] :
( ( ? [X4] :
( in(X4,X2)
& in(ordered_pair(X3,X4),X0) )
| ~ in(X3,X1) )
& ( in(X3,X1)
| ! [X4] :
( ~ in(X4,X2)
| ~ in(ordered_pair(X3,X4),X0) ) ) )
| relation_inverse_image(X0,X2) != X1 ) ) ),
inference(nnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0] :
( ~ relation(X0)
| ! [X2,X1] :
( relation_inverse_image(X0,X2) = X1
<=> ! [X3] :
( ? [X4] :
( in(X4,X2)
& in(ordered_pair(X3,X4),X0) )
<=> in(X3,X1) ) ) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0] :
( relation(X0)
=> ! [X2,X1] :
( relation_inverse_image(X0,X2) = X1
<=> ! [X3] :
( ? [X4] :
( in(X4,X2)
& in(ordered_pair(X3,X4),X0) )
<=> in(X3,X1) ) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( relation(X0)
=> ! [X2,X1] :
( relation_inverse_image(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(X4,X1)
& in(ordered_pair(X3,X4),X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d14_relat_1) ).
fof(f295,plain,
in(ordered_pair(sK13(relation_inverse_image(sK16,relation_image(sK16,sK17)),sK17),sK6(sK16,sK13(relation_inverse_image(sK16,relation_image(sK16,sK17)),sK17))),sK16),
inference(unit_resulting_resolution,[],[f157,f206,f180]) ).
fof(f180,plain,
! [X2,X0] :
( in(ordered_pair(X2,sK6(X0,X2)),X0)
| ~ relation(X0)
| ~ in(X2,relation_dom(X0)) ),
inference(equality_resolution,[],[f134]) ).
fof(f134,plain,
! [X2,X0,X1] :
( in(ordered_pair(X2,sK6(X0,X2)),X0)
| ~ in(X2,X1)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X2,X3),X0) )
& ( in(ordered_pair(X2,sK6(X0,X2)),X0)
| ~ in(X2,X1) ) )
| relation_dom(X0) != X1 )
& ( relation_dom(X0) = X1
| ( ( ! [X6] : ~ in(ordered_pair(sK7(X0,X1),X6),X0)
| ~ in(sK7(X0,X1),X1) )
& ( in(ordered_pair(sK7(X0,X1),sK8(X0,X1)),X0)
| in(sK7(X0,X1),X1) ) ) ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8])],[f86,f89,f88,f87]) ).
fof(f87,plain,
! [X0,X2] :
( ? [X4] : in(ordered_pair(X2,X4),X0)
=> in(ordered_pair(X2,sK6(X0,X2)),X0) ),
introduced(choice_axiom,[]) ).
fof(f88,plain,
! [X0,X1] :
( ? [X5] :
( ( ! [X6] : ~ in(ordered_pair(X5,X6),X0)
| ~ in(X5,X1) )
& ( ? [X7] : in(ordered_pair(X5,X7),X0)
| in(X5,X1) ) )
=> ( ( ! [X6] : ~ in(ordered_pair(sK7(X0,X1),X6),X0)
| ~ in(sK7(X0,X1),X1) )
& ( ? [X7] : in(ordered_pair(sK7(X0,X1),X7),X0)
| in(sK7(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f89,plain,
! [X0,X1] :
( ? [X7] : in(ordered_pair(sK7(X0,X1),X7),X0)
=> in(ordered_pair(sK7(X0,X1),sK8(X0,X1)),X0) ),
introduced(choice_axiom,[]) ).
fof(f86,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X2,X3),X0) )
& ( ? [X4] : in(ordered_pair(X2,X4),X0)
| ~ in(X2,X1) ) )
| relation_dom(X0) != X1 )
& ( relation_dom(X0) = X1
| ? [X5] :
( ( ! [X6] : ~ in(ordered_pair(X5,X6),X0)
| ~ in(X5,X1) )
& ( ? [X7] : in(ordered_pair(X5,X7),X0)
| in(X5,X1) ) ) ) )
| ~ relation(X0) ),
inference(rectify,[],[f85]) ).
fof(f85,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X2,X3),X0) )
& ( ? [X3] : in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) ) )
| relation_dom(X0) != X1 )
& ( relation_dom(X0) = X1
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( ? [X3] : in(ordered_pair(X2,X3),X0)
| in(X2,X1) ) ) ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) )
<=> relation_dom(X0) = X1 )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) )
<=> relation_dom(X0) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_relat_1) ).
fof(f206,plain,
in(sK13(relation_inverse_image(sK16,relation_image(sK16,sK17)),sK17),relation_dom(sK16)),
inference(unit_resulting_resolution,[],[f158,f185,f147]) ).
fof(f147,plain,
! [X2,X0,X1] :
( ~ subset(X1,X0)
| ~ in(X2,X1)
| in(X2,X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ in(X2,X1)
| in(X2,X0) )
| ~ subset(X1,X0) )
& ( subset(X1,X0)
| ( in(sK13(X0,X1),X1)
& ~ in(sK13(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f100,f101]) ).
fof(f101,plain,
! [X0,X1] :
( ? [X3] :
( in(X3,X1)
& ~ in(X3,X0) )
=> ( in(sK13(X0,X1),X1)
& ~ in(sK13(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f100,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ in(X2,X1)
| in(X2,X0) )
| ~ subset(X1,X0) )
& ( subset(X1,X0)
| ? [X3] :
( in(X3,X1)
& ~ in(X3,X0) ) ) ),
inference(rectify,[],[f99]) ).
fof(f99,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ in(X2,X1)
| in(X2,X0) )
| ~ subset(X1,X0) )
& ( subset(X1,X0)
| ? [X2] :
( in(X2,X1)
& ~ in(X2,X0) ) ) ),
inference(nnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1] :
( ! [X2] :
( ~ in(X2,X1)
| in(X2,X0) )
<=> subset(X1,X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,plain,
! [X1,X0] :
( ! [X2] :
( in(X2,X1)
=> in(X2,X0) )
<=> subset(X1,X0) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X1,X0] :
( ! [X2] :
( in(X2,X0)
=> in(X2,X1) )
<=> subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f185,plain,
in(sK13(relation_inverse_image(sK16,relation_image(sK16,sK17)),sK17),sK17),
inference(unit_resulting_resolution,[],[f156,f146]) ).
fof(f146,plain,
! [X0,X1] :
( in(sK13(X0,X1),X1)
| subset(X1,X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f156,plain,
~ subset(sK17,relation_inverse_image(sK16,relation_image(sK16,sK17))),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
( subset(sK17,relation_dom(sK16))
& relation(sK16)
& ~ subset(sK17,relation_inverse_image(sK16,relation_image(sK16,sK17))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17])],[f109,f110]) ).
fof(f110,plain,
( ? [X0,X1] :
( subset(X1,relation_dom(X0))
& relation(X0)
& ~ subset(X1,relation_inverse_image(X0,relation_image(X0,X1))) )
=> ( subset(sK17,relation_dom(sK16))
& relation(sK16)
& ~ subset(sK17,relation_inverse_image(sK16,relation_image(sK16,sK17))) ) ),
introduced(choice_axiom,[]) ).
fof(f109,plain,
? [X0,X1] :
( subset(X1,relation_dom(X0))
& relation(X0)
& ~ subset(X1,relation_inverse_image(X0,relation_image(X0,X1))) ),
inference(rectify,[],[f53]) ).
fof(f53,plain,
? [X1,X0] :
( subset(X0,relation_dom(X1))
& relation(X1)
& ~ subset(X0,relation_inverse_image(X1,relation_image(X1,X0))) ),
inference(flattening,[],[f52]) ).
fof(f52,plain,
? [X0,X1] :
( ~ subset(X0,relation_inverse_image(X1,relation_image(X1,X0)))
& subset(X0,relation_dom(X1))
& relation(X1) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,negated_conjecture,
~ ! [X0,X1] :
( relation(X1)
=> ( subset(X0,relation_dom(X1))
=> subset(X0,relation_inverse_image(X1,relation_image(X1,X0))) ) ),
inference(negated_conjecture,[],[f32]) ).
fof(f32,conjecture,
! [X0,X1] :
( relation(X1)
=> ( subset(X0,relation_dom(X1))
=> subset(X0,relation_inverse_image(X1,relation_image(X1,X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t146_funct_1) ).
fof(f158,plain,
subset(sK17,relation_dom(sK16)),
inference(cnf_transformation,[],[f111]) ).
fof(f187,plain,
~ in(sK13(relation_inverse_image(sK16,relation_image(sK16,sK17)),sK17),relation_inverse_image(sK16,relation_image(sK16,sK17))),
inference(unit_resulting_resolution,[],[f156,f145]) ).
fof(f145,plain,
! [X0,X1] :
( ~ in(sK13(X0,X1),X0)
| subset(X1,X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f157,plain,
relation(sK16),
inference(cnf_transformation,[],[f111]) ).
fof(f536,plain,
in(sK6(sK16,sK13(relation_inverse_image(sK16,relation_image(sK16,sK17)),sK17)),relation_image(sK16,sK17)),
inference(unit_resulting_resolution,[],[f157,f185,f295,f181]) ).
fof(f181,plain,
! [X2,X0,X6,X7] :
( ~ in(ordered_pair(X7,X6),X0)
| ~ in(X7,X2)
| in(X6,relation_image(X0,X2))
| ~ relation(X0) ),
inference(equality_resolution,[],[f141]) ).
fof(f141,plain,
! [X2,X0,X1,X6,X7] :
( ~ relation(X0)
| in(X6,X1)
| ~ in(X7,X2)
| ~ in(ordered_pair(X7,X6),X0)
| relation_image(X0,X2) != X1 ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0] :
( ~ relation(X0)
| ! [X1,X2] :
( ( relation_image(X0,X2) = X1
| ( ( ! [X4] :
( ~ in(X4,X2)
| ~ in(ordered_pair(X4,sK10(X0,X1,X2)),X0) )
| ~ in(sK10(X0,X1,X2),X1) )
& ( ( in(sK11(X0,X1,X2),X2)
& in(ordered_pair(sK11(X0,X1,X2),sK10(X0,X1,X2)),X0) )
| in(sK10(X0,X1,X2),X1) ) ) )
& ( ! [X6] :
( ( in(X6,X1)
| ! [X7] :
( ~ in(X7,X2)
| ~ in(ordered_pair(X7,X6),X0) ) )
& ( ( in(sK12(X0,X2,X6),X2)
& in(ordered_pair(sK12(X0,X2,X6),X6),X0) )
| ~ in(X6,X1) ) )
| relation_image(X0,X2) != X1 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12])],[f94,f97,f96,f95]) ).
fof(f95,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ! [X4] :
( ~ in(X4,X2)
| ~ in(ordered_pair(X4,X3),X0) )
| ~ in(X3,X1) )
& ( ? [X5] :
( in(X5,X2)
& in(ordered_pair(X5,X3),X0) )
| in(X3,X1) ) )
=> ( ( ! [X4] :
( ~ in(X4,X2)
| ~ in(ordered_pair(X4,sK10(X0,X1,X2)),X0) )
| ~ in(sK10(X0,X1,X2),X1) )
& ( ? [X5] :
( in(X5,X2)
& in(ordered_pair(X5,sK10(X0,X1,X2)),X0) )
| in(sK10(X0,X1,X2),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f96,plain,
! [X0,X1,X2] :
( ? [X5] :
( in(X5,X2)
& in(ordered_pair(X5,sK10(X0,X1,X2)),X0) )
=> ( in(sK11(X0,X1,X2),X2)
& in(ordered_pair(sK11(X0,X1,X2),sK10(X0,X1,X2)),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f97,plain,
! [X0,X2,X6] :
( ? [X8] :
( in(X8,X2)
& in(ordered_pair(X8,X6),X0) )
=> ( in(sK12(X0,X2,X6),X2)
& in(ordered_pair(sK12(X0,X2,X6),X6),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f94,plain,
! [X0] :
( ~ relation(X0)
| ! [X1,X2] :
( ( relation_image(X0,X2) = X1
| ? [X3] :
( ( ! [X4] :
( ~ in(X4,X2)
| ~ in(ordered_pair(X4,X3),X0) )
| ~ in(X3,X1) )
& ( ? [X5] :
( in(X5,X2)
& in(ordered_pair(X5,X3),X0) )
| in(X3,X1) ) ) )
& ( ! [X6] :
( ( in(X6,X1)
| ! [X7] :
( ~ in(X7,X2)
| ~ in(ordered_pair(X7,X6),X0) ) )
& ( ? [X8] :
( in(X8,X2)
& in(ordered_pair(X8,X6),X0) )
| ~ in(X6,X1) ) )
| relation_image(X0,X2) != X1 ) ) ),
inference(rectify,[],[f93]) ).
fof(f93,plain,
! [X0] :
( ~ relation(X0)
| ! [X1,X2] :
( ( relation_image(X0,X2) = X1
| ? [X3] :
( ( ! [X4] :
( ~ in(X4,X2)
| ~ in(ordered_pair(X4,X3),X0) )
| ~ in(X3,X1) )
& ( ? [X4] :
( in(X4,X2)
& in(ordered_pair(X4,X3),X0) )
| in(X3,X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| ! [X4] :
( ~ in(X4,X2)
| ~ in(ordered_pair(X4,X3),X0) ) )
& ( ? [X4] :
( in(X4,X2)
& in(ordered_pair(X4,X3),X0) )
| ~ in(X3,X1) ) )
| relation_image(X0,X2) != X1 ) ) ),
inference(nnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0] :
( ~ relation(X0)
| ! [X1,X2] :
( relation_image(X0,X2) = X1
<=> ! [X3] :
( in(X3,X1)
<=> ? [X4] :
( in(X4,X2)
& in(ordered_pair(X4,X3),X0) ) ) ) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0] :
( relation(X0)
=> ! [X1,X2] :
( relation_image(X0,X2) = X1
<=> ! [X3] :
( in(X3,X1)
<=> ? [X4] :
( in(X4,X2)
& in(ordered_pair(X4,X3),X0) ) ) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( relation(X0)
=> ! [X2,X1] :
( relation_image(X0,X1) = X2
<=> ! [X3] :
( ? [X4] :
( in(X4,X1)
& in(ordered_pair(X4,X3),X0) )
<=> in(X3,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d13_relat_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU227+3 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 14:53:18 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (30905)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)
% 0.19/0.50 % (30904)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)
% 0.19/0.51 % (30913)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.52 % (30921)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)
% 0.19/0.52 % (30903)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)
% 0.19/0.52 % (30913)Instruction limit reached!
% 0.19/0.52 % (30913)------------------------------
% 0.19/0.52 % (30913)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (30912)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)
% 0.19/0.52 % (30897)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)
% 0.19/0.52 % (30896)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.52 % (30897)Refutation not found, incomplete strategy% (30897)------------------------------
% 0.19/0.52 % (30897)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (30897)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (30897)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (30897)Memory used [KB]: 6012
% 0.19/0.52 % (30897)Time elapsed: 0.108 s
% 0.19/0.52 % (30897)Instructions burned: 4 (million)
% 0.19/0.52 % (30897)------------------------------
% 0.19/0.52 % (30897)------------------------------
% 0.19/0.52 % (30913)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (30913)Termination reason: Unknown
% 0.19/0.52 % (30913)Termination phase: Property scanning
% 0.19/0.52
% 0.19/0.52 % (30913)Memory used [KB]: 1535
% 0.19/0.52 % (30913)Time elapsed: 0.004 s
% 0.19/0.52 % (30913)Instructions burned: 4 (million)
% 0.19/0.52 % (30913)------------------------------
% 0.19/0.52 % (30913)------------------------------
% 0.19/0.52 % (30900)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)
% 0.19/0.53 % (30905)First to succeed.
% 0.19/0.53 % (30906)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)
% 0.19/0.53 % (30901)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)
% 0.19/0.53 % (30924)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)
% 0.19/0.53 % (30899)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)
% 0.19/0.53 % (30899)Also succeeded, but the first one will report.
% 0.19/0.54 % (30905)Refutation found. Thanks to Tanya!
% 0.19/0.54 % SZS status Theorem for theBenchmark
% 0.19/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.54 % (30905)------------------------------
% 0.19/0.54 % (30905)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (30905)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (30905)Termination reason: Refutation
% 0.19/0.54
% 0.19/0.54 % (30905)Memory used [KB]: 6396
% 0.19/0.54 % (30905)Time elapsed: 0.114 s
% 0.19/0.54 % (30905)Instructions burned: 17 (million)
% 0.19/0.54 % (30905)------------------------------
% 0.19/0.54 % (30905)------------------------------
% 0.19/0.54 % (30895)Success in time 0.186 s
%------------------------------------------------------------------------------