TSTP Solution File: SEU227+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU227+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n006.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 : Sun May 5 09:21:14 EDT 2024
% Result : Theorem 0.61s 0.77s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 16
% Syntax : Number of formulae : 62 ( 8 unt; 0 def)
% Number of atoms : 317 ( 27 equ)
% Maximal formula atoms : 15 ( 5 avg)
% Number of connectives : 400 ( 145 ~; 143 |; 79 &)
% ( 14 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Maximal term depth : 4 ( 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 : 218 ( 170 !; 48 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f396,plain,
$false,
inference(subsumption_resolution,[],[f395,f200]) ).
fof(f200,plain,
in(sK13(sK0,relation_inverse_image(sK1,relation_image(sK1,sK0))),sK0),
inference(resolution,[],[f113,f142]) ).
fof(f142,plain,
! [X0,X1] :
( subset(X0,X1)
| in(sK13(X0,X1),X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK13(X0,X1),X1)
& in(sK13(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f98,f99]) ).
fof(f99,plain,
! [X0,X1] :
( ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) )
=> ( ~ in(sK13(X0,X1),X1)
& in(sK13(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f98,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f97]) ).
fof(f97,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.V1UhiJ8XJA/Vampire---4.8_468',d3_tarski) ).
fof(f113,plain,
~ subset(sK0,relation_inverse_image(sK1,relation_image(sK1,sK0))),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
( ~ subset(sK0,relation_inverse_image(sK1,relation_image(sK1,sK0)))
& subset(sK0,relation_dom(sK1))
& relation(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f53,f72]) ).
fof(f72,plain,
( ? [X0,X1] :
( ~ subset(X0,relation_inverse_image(X1,relation_image(X1,X0)))
& subset(X0,relation_dom(X1))
& relation(X1) )
=> ( ~ subset(sK0,relation_inverse_image(sK1,relation_image(sK1,sK0)))
& subset(sK0,relation_dom(sK1))
& relation(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
? [X0,X1] :
( ~ subset(X0,relation_inverse_image(X1,relation_image(X1,X0)))
& subset(X0,relation_dom(X1))
& relation(X1) ),
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,[],[f42]) ).
fof(f42,negated_conjecture,
~ ! [X0,X1] :
( relation(X1)
=> ( subset(X0,relation_dom(X1))
=> subset(X0,relation_inverse_image(X1,relation_image(X1,X0))) ) ),
inference(negated_conjecture,[],[f41]) ).
fof(f41,conjecture,
! [X0,X1] :
( relation(X1)
=> ( subset(X0,relation_dom(X1))
=> subset(X0,relation_inverse_image(X1,relation_image(X1,X0))) ) ),
file('/export/starexec/sandbox/tmp/tmp.V1UhiJ8XJA/Vampire---4.8_468',t146_funct_1) ).
fof(f395,plain,
~ in(sK13(sK0,relation_inverse_image(sK1,relation_image(sK1,sK0))),sK0),
inference(subsumption_resolution,[],[f388,f208]) ).
fof(f208,plain,
in(sK13(sK0,relation_inverse_image(sK1,relation_image(sK1,sK0))),relation_dom(sK1)),
inference(resolution,[],[f200,f187]) ).
fof(f187,plain,
! [X0] :
( ~ in(X0,sK0)
| in(X0,relation_dom(sK1)) ),
inference(resolution,[],[f112,f141]) ).
fof(f141,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ in(X3,X0)
| in(X3,X1) ),
inference(cnf_transformation,[],[f100]) ).
fof(f112,plain,
subset(sK0,relation_dom(sK1)),
inference(cnf_transformation,[],[f73]) ).
fof(f388,plain,
( ~ in(sK13(sK0,relation_inverse_image(sK1,relation_image(sK1,sK0))),relation_dom(sK1))
| ~ in(sK13(sK0,relation_inverse_image(sK1,relation_image(sK1,sK0))),sK0) ),
inference(resolution,[],[f274,f201]) ).
fof(f201,plain,
~ in(sK13(sK0,relation_inverse_image(sK1,relation_image(sK1,sK0))),relation_inverse_image(sK1,relation_image(sK1,sK0))),
inference(resolution,[],[f113,f143]) ).
fof(f143,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ in(sK13(X0,X1),X1) ),
inference(cnf_transformation,[],[f100]) ).
fof(f274,plain,
! [X0,X1] :
( in(X0,relation_inverse_image(sK1,relation_image(sK1,X1)))
| ~ in(X0,relation_dom(sK1))
| ~ in(X0,X1) ),
inference(duplicate_literal_removal,[],[f273]) ).
fof(f273,plain,
! [X0,X1] :
( in(X0,relation_inverse_image(sK1,relation_image(sK1,X1)))
| ~ in(X0,relation_dom(sK1))
| ~ in(X0,X1)
| ~ in(X0,relation_dom(sK1)) ),
inference(resolution,[],[f231,f222]) ).
fof(f222,plain,
! [X0,X1] :
( in(sK12(sK1,X0),relation_image(sK1,X1))
| ~ in(X0,X1)
| ~ in(X0,relation_dom(sK1)) ),
inference(resolution,[],[f179,f186]) ).
fof(f186,plain,
! [X0] :
( in(ordered_pair(X0,sK12(sK1,X0)),sK1)
| ~ in(X0,relation_dom(sK1)) ),
inference(resolution,[],[f111,f167]) ).
fof(f167,plain,
! [X0,X5] :
( ~ relation(X0)
| ~ in(X5,relation_dom(X0))
| in(ordered_pair(X5,sK12(X0,X5)),X0) ),
inference(equality_resolution,[],[f134]) ).
fof(f134,plain,
! [X0,X1,X5] :
( in(ordered_pair(X5,sK12(X0,X5)),X0)
| ~ in(X5,X1)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0] :
( ! [X1] :
( ( relation_dom(X0) = X1
| ( ( ! [X3] : ~ in(ordered_pair(sK10(X0,X1),X3),X0)
| ~ in(sK10(X0,X1),X1) )
& ( in(ordered_pair(sK10(X0,X1),sK11(X0,X1)),X0)
| in(sK10(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( in(ordered_pair(X5,sK12(X0,X5)),X0)
| ~ in(X5,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12])],[f91,f94,f93,f92]) ).
fof(f92,plain,
! [X0,X1] :
( ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X2,X4),X0)
| in(X2,X1) ) )
=> ( ( ! [X3] : ~ in(ordered_pair(sK10(X0,X1),X3),X0)
| ~ in(sK10(X0,X1),X1) )
& ( ? [X4] : in(ordered_pair(sK10(X0,X1),X4),X0)
| in(sK10(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f93,plain,
! [X0,X1] :
( ? [X4] : in(ordered_pair(sK10(X0,X1),X4),X0)
=> in(ordered_pair(sK10(X0,X1),sK11(X0,X1)),X0) ),
introduced(choice_axiom,[]) ).
fof(f94,plain,
! [X0,X5] :
( ? [X7] : in(ordered_pair(X5,X7),X0)
=> in(ordered_pair(X5,sK12(X0,X5)),X0) ),
introduced(choice_axiom,[]) ).
fof(f91,plain,
! [X0] :
( ! [X1] :
( ( relation_dom(X0) = X1
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X2,X4),X0)
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( ? [X7] : in(ordered_pair(X5,X7),X0)
| ~ in(X5,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(rectify,[],[f90]) ).
fof(f90,plain,
! [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) ) ) )
& ( ! [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(X0) ),
inference(nnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( ! [X1] :
( relation_dom(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation_dom(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.V1UhiJ8XJA/Vampire---4.8_468',d4_relat_1) ).
fof(f111,plain,
relation(sK1),
inference(cnf_transformation,[],[f73]) ).
fof(f179,plain,
! [X2,X0,X1] :
( ~ in(ordered_pair(X0,X2),sK1)
| ~ in(X0,X1)
| in(X2,relation_image(sK1,X1)) ),
inference(resolution,[],[f111,f160]) ).
fof(f160,plain,
! [X0,X1,X6,X7] :
( ~ relation(X0)
| ~ in(X7,X1)
| ~ in(ordered_pair(X7,X6),X0)
| in(X6,relation_image(X0,X1)) ),
inference(equality_resolution,[],[f116]) ).
fof(f116,plain,
! [X2,X0,X1,X6,X7] :
( in(X6,X2)
| ~ in(X7,X1)
| ~ in(ordered_pair(X7,X6),X0)
| relation_image(X0,X1) != X2
| ~ relation(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ! [X1,X2] :
( ( relation_image(X0,X1) = X2
| ( ( ! [X4] :
( ~ in(X4,X1)
| ~ in(ordered_pair(X4,sK2(X0,X1,X2)),X0) )
| ~ in(sK2(X0,X1,X2),X2) )
& ( ( in(sK3(X0,X1,X2),X1)
& in(ordered_pair(sK3(X0,X1,X2),sK2(X0,X1,X2)),X0) )
| in(sK2(X0,X1,X2),X2) ) ) )
& ( ! [X6] :
( ( in(X6,X2)
| ! [X7] :
( ~ in(X7,X1)
| ~ in(ordered_pair(X7,X6),X0) ) )
& ( ( in(sK4(X0,X1,X6),X1)
& in(ordered_pair(sK4(X0,X1,X6),X6),X0) )
| ~ in(X6,X2) ) )
| relation_image(X0,X1) != X2 ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f75,f78,f77,f76]) ).
fof(f76,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ! [X4] :
( ~ in(X4,X1)
| ~ in(ordered_pair(X4,X3),X0) )
| ~ in(X3,X2) )
& ( ? [X5] :
( in(X5,X1)
& in(ordered_pair(X5,X3),X0) )
| in(X3,X2) ) )
=> ( ( ! [X4] :
( ~ in(X4,X1)
| ~ in(ordered_pair(X4,sK2(X0,X1,X2)),X0) )
| ~ in(sK2(X0,X1,X2),X2) )
& ( ? [X5] :
( in(X5,X1)
& in(ordered_pair(X5,sK2(X0,X1,X2)),X0) )
| in(sK2(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
! [X0,X1,X2] :
( ? [X5] :
( in(X5,X1)
& in(ordered_pair(X5,sK2(X0,X1,X2)),X0) )
=> ( in(sK3(X0,X1,X2),X1)
& in(ordered_pair(sK3(X0,X1,X2),sK2(X0,X1,X2)),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f78,plain,
! [X0,X1,X6] :
( ? [X8] :
( in(X8,X1)
& in(ordered_pair(X8,X6),X0) )
=> ( in(sK4(X0,X1,X6),X1)
& in(ordered_pair(sK4(X0,X1,X6),X6),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
! [X0] :
( ! [X1,X2] :
( ( relation_image(X0,X1) = X2
| ? [X3] :
( ( ! [X4] :
( ~ in(X4,X1)
| ~ in(ordered_pair(X4,X3),X0) )
| ~ in(X3,X2) )
& ( ? [X5] :
( in(X5,X1)
& in(ordered_pair(X5,X3),X0) )
| in(X3,X2) ) ) )
& ( ! [X6] :
( ( in(X6,X2)
| ! [X7] :
( ~ in(X7,X1)
| ~ in(ordered_pair(X7,X6),X0) ) )
& ( ? [X8] :
( in(X8,X1)
& in(ordered_pair(X8,X6),X0) )
| ~ in(X6,X2) ) )
| relation_image(X0,X1) != X2 ) )
| ~ relation(X0) ),
inference(rectify,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ! [X1,X2] :
( ( relation_image(X0,X1) = X2
| ? [X3] :
( ( ! [X4] :
( ~ in(X4,X1)
| ~ in(ordered_pair(X4,X3),X0) )
| ~ in(X3,X2) )
& ( ? [X4] :
( in(X4,X1)
& in(ordered_pair(X4,X3),X0) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ! [X4] :
( ~ in(X4,X1)
| ~ in(ordered_pair(X4,X3),X0) ) )
& ( ? [X4] :
( in(X4,X1)
& in(ordered_pair(X4,X3),X0) )
| ~ in(X3,X2) ) )
| relation_image(X0,X1) != X2 ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0] :
( ! [X1,X2] :
( relation_image(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(X4,X1)
& in(ordered_pair(X4,X3),X0) ) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( relation(X0)
=> ! [X1,X2] :
( relation_image(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(X4,X1)
& in(ordered_pair(X4,X3),X0) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.V1UhiJ8XJA/Vampire---4.8_468',d13_relat_1) ).
fof(f231,plain,
! [X0,X1] :
( ~ in(sK12(sK1,X0),X1)
| in(X0,relation_inverse_image(sK1,X1))
| ~ in(X0,relation_dom(sK1)) ),
inference(resolution,[],[f182,f186]) ).
fof(f182,plain,
! [X2,X0,X1] :
( ~ in(ordered_pair(X2,X0),sK1)
| ~ in(X0,X1)
| in(X2,relation_inverse_image(sK1,X1)) ),
inference(resolution,[],[f111,f163]) ).
fof(f163,plain,
! [X0,X1,X6,X7] :
( ~ relation(X0)
| ~ in(X7,X1)
| ~ in(ordered_pair(X6,X7),X0)
| in(X6,relation_inverse_image(X0,X1)) ),
inference(equality_resolution,[],[f122]) ).
fof(f122,plain,
! [X2,X0,X1,X6,X7] :
( in(X6,X2)
| ~ in(X7,X1)
| ~ in(ordered_pair(X6,X7),X0)
| relation_inverse_image(X0,X1) != X2
| ~ relation(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0] :
( ! [X1,X2] :
( ( relation_inverse_image(X0,X1) = X2
| ( ( ! [X4] :
( ~ in(X4,X1)
| ~ in(ordered_pair(sK5(X0,X1,X2),X4),X0) )
| ~ in(sK5(X0,X1,X2),X2) )
& ( ( in(sK6(X0,X1,X2),X1)
& in(ordered_pair(sK5(X0,X1,X2),sK6(X0,X1,X2)),X0) )
| in(sK5(X0,X1,X2),X2) ) ) )
& ( ! [X6] :
( ( in(X6,X2)
| ! [X7] :
( ~ in(X7,X1)
| ~ in(ordered_pair(X6,X7),X0) ) )
& ( ( in(sK7(X0,X1,X6),X1)
& in(ordered_pair(X6,sK7(X0,X1,X6)),X0) )
| ~ in(X6,X2) ) )
| relation_inverse_image(X0,X1) != X2 ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7])],[f81,f84,f83,f82]) ).
fof(f82,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ! [X4] :
( ~ in(X4,X1)
| ~ in(ordered_pair(X3,X4),X0) )
| ~ in(X3,X2) )
& ( ? [X5] :
( in(X5,X1)
& in(ordered_pair(X3,X5),X0) )
| in(X3,X2) ) )
=> ( ( ! [X4] :
( ~ in(X4,X1)
| ~ in(ordered_pair(sK5(X0,X1,X2),X4),X0) )
| ~ in(sK5(X0,X1,X2),X2) )
& ( ? [X5] :
( in(X5,X1)
& in(ordered_pair(sK5(X0,X1,X2),X5),X0) )
| in(sK5(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
! [X0,X1,X2] :
( ? [X5] :
( in(X5,X1)
& in(ordered_pair(sK5(X0,X1,X2),X5),X0) )
=> ( in(sK6(X0,X1,X2),X1)
& in(ordered_pair(sK5(X0,X1,X2),sK6(X0,X1,X2)),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f84,plain,
! [X0,X1,X6] :
( ? [X8] :
( in(X8,X1)
& in(ordered_pair(X6,X8),X0) )
=> ( in(sK7(X0,X1,X6),X1)
& in(ordered_pair(X6,sK7(X0,X1,X6)),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
! [X0] :
( ! [X1,X2] :
( ( relation_inverse_image(X0,X1) = X2
| ? [X3] :
( ( ! [X4] :
( ~ in(X4,X1)
| ~ in(ordered_pair(X3,X4),X0) )
| ~ in(X3,X2) )
& ( ? [X5] :
( in(X5,X1)
& in(ordered_pair(X3,X5),X0) )
| in(X3,X2) ) ) )
& ( ! [X6] :
( ( in(X6,X2)
| ! [X7] :
( ~ in(X7,X1)
| ~ in(ordered_pair(X6,X7),X0) ) )
& ( ? [X8] :
( in(X8,X1)
& in(ordered_pair(X6,X8),X0) )
| ~ in(X6,X2) ) )
| relation_inverse_image(X0,X1) != X2 ) )
| ~ relation(X0) ),
inference(rectify,[],[f80]) ).
fof(f80,plain,
! [X0] :
( ! [X1,X2] :
( ( relation_inverse_image(X0,X1) = X2
| ? [X3] :
( ( ! [X4] :
( ~ in(X4,X1)
| ~ in(ordered_pair(X3,X4),X0) )
| ~ in(X3,X2) )
& ( ? [X4] :
( in(X4,X1)
& in(ordered_pair(X3,X4),X0) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ! [X4] :
( ~ in(X4,X1)
| ~ in(ordered_pair(X3,X4),X0) ) )
& ( ? [X4] :
( in(X4,X1)
& in(ordered_pair(X3,X4),X0) )
| ~ in(X3,X2) ) )
| relation_inverse_image(X0,X1) != X2 ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0] :
( ! [X1,X2] :
( relation_inverse_image(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(X4,X1)
& in(ordered_pair(X3,X4),X0) ) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [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) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.V1UhiJ8XJA/Vampire---4.8_468',d14_relat_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU227+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n006.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 11:22:34 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.V1UhiJ8XJA/Vampire---4.8_468
% 0.60/0.76 % (933)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.60/0.76 % (925)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.60/0.76 % (926)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.60/0.76 % (927)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.60/0.76 % (928)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.60/0.76 % (930)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.60/0.76 % (929)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.60/0.76 % (932)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.61/0.76 % (933)First to succeed.
% 0.61/0.76 % (933)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-763"
% 0.61/0.76 % (928)Also succeeded, but the first one will report.
% 0.61/0.77 % (933)Refutation found. Thanks to Tanya!
% 0.61/0.77 % SZS status Theorem for Vampire---4
% 0.61/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.77 % (933)------------------------------
% 0.61/0.77 % (933)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77 % (933)Termination reason: Refutation
% 0.61/0.77
% 0.61/0.77 % (933)Memory used [KB]: 1183
% 0.61/0.77 % (933)Time elapsed: 0.006 s
% 0.61/0.77 % (933)Instructions burned: 16 (million)
% 0.61/0.77 % (763)Success in time 0.391 s
% 0.61/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------