TSTP Solution File: SEU227+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU227+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n023.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 18:32:40 EDT 2022
% Result : Theorem 2.21s 0.66s
% Output : Refutation 2.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 19
% Syntax : Number of formulae : 72 ( 10 unt; 0 def)
% Number of atoms : 344 ( 32 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 422 ( 150 ~; 150 |; 83 &)
% ( 18 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 5 con; 0-3 aty)
% Number of variables : 231 ( 179 !; 52 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1009,plain,
$false,
inference(subsumption_resolution,[],[f1008,f224]) ).
fof(f224,plain,
~ subset(sK12,sF25),
inference(definition_folding,[],[f181,f223,f222]) ).
fof(f222,plain,
sF24 = relation_image(sK11,sK12),
introduced(function_definition,[]) ).
fof(f223,plain,
sF25 = relation_inverse_image(sK11,sF24),
introduced(function_definition,[]) ).
fof(f181,plain,
~ subset(sK12,relation_inverse_image(sK11,relation_image(sK11,sK12))),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
( subset(sK12,relation_dom(sK11))
& ~ subset(sK12,relation_inverse_image(sK11,relation_image(sK11,sK12)))
& relation(sK11) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12])],[f117,f118]) ).
fof(f118,plain,
( ? [X0,X1] :
( subset(X1,relation_dom(X0))
& ~ subset(X1,relation_inverse_image(X0,relation_image(X0,X1)))
& relation(X0) )
=> ( subset(sK12,relation_dom(sK11))
& ~ subset(sK12,relation_inverse_image(sK11,relation_image(sK11,sK12)))
& relation(sK11) ) ),
introduced(choice_axiom,[]) ).
fof(f117,plain,
? [X0,X1] :
( subset(X1,relation_dom(X0))
& ~ subset(X1,relation_inverse_image(X0,relation_image(X0,X1)))
& relation(X0) ),
inference(rectify,[],[f79]) ).
fof(f79,plain,
? [X1,X0] :
( subset(X0,relation_dom(X1))
& ~ subset(X0,relation_inverse_image(X1,relation_image(X1,X0)))
& relation(X1) ),
inference(flattening,[],[f78]) ).
fof(f78,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/benchmark/theBenchmark.p',t146_funct_1) ).
fof(f1008,plain,
subset(sK12,sF25),
inference(duplicate_literal_removal,[],[f1007]) ).
fof(f1007,plain,
( subset(sK12,sF25)
| subset(sK12,sF25) ),
inference(resolution,[],[f779,f153]) ).
fof(f153,plain,
! [X0,X1] :
( in(sK4(X0,X1),X1)
| subset(X1,X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X1] :
( ( subset(X1,X0)
| ( ~ in(sK4(X0,X1),X0)
& in(sK4(X0,X1),X1) ) )
& ( ! [X3] :
( in(X3,X0)
| ~ in(X3,X1) )
| ~ subset(X1,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f98,f99]) ).
fof(f99,plain,
! [X0,X1] :
( ? [X2] :
( ~ in(X2,X0)
& in(X2,X1) )
=> ( ~ in(sK4(X0,X1),X0)
& in(sK4(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f98,plain,
! [X0,X1] :
( ( subset(X1,X0)
| ? [X2] :
( ~ in(X2,X0)
& in(X2,X1) ) )
& ( ! [X3] :
( in(X3,X0)
| ~ in(X3,X1) )
| ~ subset(X1,X0) ) ),
inference(rectify,[],[f97]) ).
fof(f97,plain,
! [X1,X0] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X1,X0] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X1,X0] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f779,plain,
! [X16] :
( ~ in(sK4(sF25,X16),sK12)
| subset(X16,sF25) ),
inference(resolution,[],[f698,f154]) ).
fof(f154,plain,
! [X0,X1] :
( ~ in(sK4(X0,X1),X0)
| subset(X1,X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f698,plain,
! [X0] :
( in(X0,sF25)
| ~ in(X0,sK12) ),
inference(forward_demodulation,[],[f697,f223]) ).
fof(f697,plain,
! [X0] :
( in(X0,relation_inverse_image(sK11,sF24))
| ~ in(X0,sK12) ),
inference(subsumption_resolution,[],[f692,f288]) ).
fof(f288,plain,
! [X4] :
( ~ in(X4,sK12)
| in(X4,sF23) ),
inference(resolution,[],[f152,f221]) ).
fof(f221,plain,
subset(sK12,sF23),
inference(definition_folding,[],[f182,f220]) ).
fof(f220,plain,
relation_dom(sK11) = sF23,
introduced(function_definition,[]) ).
fof(f182,plain,
subset(sK12,relation_dom(sK11)),
inference(cnf_transformation,[],[f119]) ).
fof(f152,plain,
! [X3,X0,X1] :
( ~ subset(X1,X0)
| ~ in(X3,X1)
| in(X3,X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f692,plain,
! [X0] :
( in(X0,relation_inverse_image(sK11,sF24))
| ~ in(X0,sK12)
| ~ in(X0,sF23) ),
inference(resolution,[],[f654,f399]) ).
fof(f399,plain,
! [X0,X1] :
( ~ in(sK0(sK11,X0),X1)
| ~ in(X0,sF23)
| in(X0,relation_inverse_image(sK11,X1)) ),
inference(subsumption_resolution,[],[f392,f180]) ).
fof(f180,plain,
relation(sK11),
inference(cnf_transformation,[],[f119]) ).
fof(f392,plain,
! [X0,X1] :
( ~ in(X0,sF23)
| ~ relation(sK11)
| ~ in(sK0(sK11,X0),X1)
| in(X0,relation_inverse_image(sK11,X1)) ),
inference(resolution,[],[f319,f219]) ).
fof(f219,plain,
! [X2,X3,X0,X5] :
( ~ in(ordered_pair(X3,X5),X0)
| in(X3,relation_inverse_image(X0,X2))
| ~ relation(X0)
| ~ in(X5,X2) ),
inference(equality_resolution,[],[f201]) ).
fof(f201,plain,
! [X2,X3,X0,X1,X5] :
( in(X3,X1)
| ~ in(X5,X2)
| ~ in(ordered_pair(X3,X5),X0)
| relation_inverse_image(X0,X2) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0] :
( ! [X1,X2] :
( ( ! [X3] :
( ( ( in(sK15(X0,X2,X3),X2)
& in(ordered_pair(X3,sK15(X0,X2,X3)),X0) )
| ~ in(X3,X1) )
& ( in(X3,X1)
| ! [X5] :
( ~ in(X5,X2)
| ~ in(ordered_pair(X3,X5),X0) ) ) )
| relation_inverse_image(X0,X2) != X1 )
& ( relation_inverse_image(X0,X2) = X1
| ( ( ~ in(sK16(X0,X1,X2),X1)
| ! [X7] :
( ~ in(X7,X2)
| ~ in(ordered_pair(sK16(X0,X1,X2),X7),X0) ) )
& ( in(sK16(X0,X1,X2),X1)
| ( in(sK17(X0,X1,X2),X2)
& in(ordered_pair(sK16(X0,X1,X2),sK17(X0,X1,X2)),X0) ) ) ) ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15,sK16,sK17])],[f126,f129,f128,f127]) ).
fof(f127,plain,
! [X0,X2,X3] :
( ? [X4] :
( in(X4,X2)
& in(ordered_pair(X3,X4),X0) )
=> ( in(sK15(X0,X2,X3),X2)
& in(ordered_pair(X3,sK15(X0,X2,X3)),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f128,plain,
! [X0,X1,X2] :
( ? [X6] :
( ( ~ in(X6,X1)
| ! [X7] :
( ~ in(X7,X2)
| ~ in(ordered_pair(X6,X7),X0) ) )
& ( in(X6,X1)
| ? [X8] :
( in(X8,X2)
& in(ordered_pair(X6,X8),X0) ) ) )
=> ( ( ~ in(sK16(X0,X1,X2),X1)
| ! [X7] :
( ~ in(X7,X2)
| ~ in(ordered_pair(sK16(X0,X1,X2),X7),X0) ) )
& ( in(sK16(X0,X1,X2),X1)
| ? [X8] :
( in(X8,X2)
& in(ordered_pair(sK16(X0,X1,X2),X8),X0) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f129,plain,
! [X0,X1,X2] :
( ? [X8] :
( in(X8,X2)
& in(ordered_pair(sK16(X0,X1,X2),X8),X0) )
=> ( in(sK17(X0,X1,X2),X2)
& in(ordered_pair(sK16(X0,X1,X2),sK17(X0,X1,X2)),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f126,plain,
! [X0] :
( ! [X1,X2] :
( ( ! [X3] :
( ( ? [X4] :
( in(X4,X2)
& in(ordered_pair(X3,X4),X0) )
| ~ in(X3,X1) )
& ( in(X3,X1)
| ! [X5] :
( ~ in(X5,X2)
| ~ in(ordered_pair(X3,X5),X0) ) ) )
| relation_inverse_image(X0,X2) != X1 )
& ( relation_inverse_image(X0,X2) = X1
| ? [X6] :
( ( ~ in(X6,X1)
| ! [X7] :
( ~ in(X7,X2)
| ~ in(ordered_pair(X6,X7),X0) ) )
& ( in(X6,X1)
| ? [X8] :
( in(X8,X2)
& in(ordered_pair(X6,X8),X0) ) ) ) ) )
| ~ relation(X0) ),
inference(rectify,[],[f125]) ).
fof(f125,plain,
! [X0] :
( ! [X1,X2] :
( ( ! [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 )
& ( 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) ) ) ) ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0] :
( ! [X1,X2] :
( ! [X3] :
( ? [X4] :
( in(X4,X2)
& in(ordered_pair(X3,X4),X0) )
<=> in(X3,X1) )
<=> relation_inverse_image(X0,X2) = X1 )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0] :
( relation(X0)
=> ! [X1,X2] :
( ! [X3] :
( ? [X4] :
( in(X4,X2)
& in(ordered_pair(X3,X4),X0) )
<=> in(X3,X1) )
<=> relation_inverse_image(X0,X2) = X1 ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( relation(X0)
=> ! [X2,X1] :
( ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(ordered_pair(X3,X4),X0)
& in(X4,X1) ) )
<=> relation_inverse_image(X0,X1) = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d14_relat_1) ).
fof(f319,plain,
! [X0] :
( in(ordered_pair(X0,sK0(sK11,X0)),sK11)
| ~ in(X0,sF23) ),
inference(subsumption_resolution,[],[f316,f180]) ).
fof(f316,plain,
! [X0] :
( ~ in(X0,sF23)
| in(ordered_pair(X0,sK0(sK11,X0)),sK11)
| ~ relation(sK11) ),
inference(superposition,[],[f212,f220]) ).
fof(f212,plain,
! [X2,X0] :
( ~ in(X2,relation_dom(X0))
| ~ relation(X0)
| in(ordered_pair(X2,sK0(X0,X2)),X0) ),
inference(equality_resolution,[],[f146]) ).
fof(f146,plain,
! [X2,X0,X1] :
( in(ordered_pair(X2,sK0(X0,X2)),X0)
| ~ in(X2,X1)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ( in(ordered_pair(X2,sK0(X0,X2)),X0)
| ~ in(X2,X1) )
& ( in(X2,X1)
| ! [X4] : ~ in(ordered_pair(X2,X4),X0) ) )
| relation_dom(X0) != X1 )
& ( relation_dom(X0) = X1
| ( ( ~ in(sK1(X0,X1),X1)
| ! [X6] : ~ in(ordered_pair(sK1(X0,X1),X6),X0) )
& ( in(sK1(X0,X1),X1)
| in(ordered_pair(sK1(X0,X1),sK2(X0,X1)),X0) ) ) ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f89,f92,f91,f90]) ).
fof(f90,plain,
! [X0,X2] :
( ? [X3] : in(ordered_pair(X2,X3),X0)
=> in(ordered_pair(X2,sK0(X0,X2)),X0) ),
introduced(choice_axiom,[]) ).
fof(f91,plain,
! [X0,X1] :
( ? [X5] :
( ( ~ in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( in(X5,X1)
| ? [X7] : in(ordered_pair(X5,X7),X0) ) )
=> ( ( ~ in(sK1(X0,X1),X1)
| ! [X6] : ~ in(ordered_pair(sK1(X0,X1),X6),X0) )
& ( in(sK1(X0,X1),X1)
| ? [X7] : in(ordered_pair(sK1(X0,X1),X7),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f92,plain,
! [X0,X1] :
( ? [X7] : in(ordered_pair(sK1(X0,X1),X7),X0)
=> in(ordered_pair(sK1(X0,X1),sK2(X0,X1)),X0) ),
introduced(choice_axiom,[]) ).
fof(f89,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ( ? [X3] : in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( in(X2,X1)
| ! [X4] : ~ in(ordered_pair(X2,X4),X0) ) )
| relation_dom(X0) != X1 )
& ( relation_dom(X0) = X1
| ? [X5] :
( ( ~ in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( in(X5,X1)
| ? [X7] : in(ordered_pair(X5,X7),X0) ) ) ) )
| ~ relation(X0) ),
inference(rectify,[],[f88]) ).
fof(f88,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ( ? [X3] : in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X2,X3),X0) ) )
| relation_dom(X0) != X1 )
& ( relation_dom(X0) = X1
| ? [X2] :
( ( ~ in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X2,X3),X0) )
& ( in(X2,X1)
| ? [X3] : in(ordered_pair(X2,X3),X0) ) ) ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ? [X3] : in(ordered_pair(X2,X3),X0)
<=> in(X2,X1) )
<=> relation_dom(X0) = X1 )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( ! [X2] :
( ? [X3] : in(ordered_pair(X2,X3),X0)
<=> in(X2,X1) )
<=> relation_dom(X0) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_relat_1) ).
fof(f654,plain,
! [X0] :
( in(sK0(sK11,X0),sF24)
| ~ in(X0,sK12) ),
inference(subsumption_resolution,[],[f652,f288]) ).
fof(f652,plain,
! [X0] :
( in(sK0(sK11,X0),sF24)
| ~ in(X0,sK12)
| ~ in(X0,sF23) ),
inference(superposition,[],[f400,f222]) ).
fof(f400,plain,
! [X2,X3] :
( in(sK0(sK11,X2),relation_image(sK11,X3))
| ~ in(X2,X3)
| ~ in(X2,sF23) ),
inference(subsumption_resolution,[],[f393,f180]) ).
fof(f393,plain,
! [X2,X3] :
( ~ relation(sK11)
| ~ in(X2,X3)
| ~ in(X2,sF23)
| in(sK0(sK11,X2),relation_image(sK11,X3)) ),
inference(resolution,[],[f319,f216]) ).
fof(f216,plain,
! [X2,X0,X8,X6] :
( ~ in(ordered_pair(X8,X6),X0)
| ~ relation(X0)
| in(X6,relation_image(X0,X2))
| ~ in(X8,X2) ),
inference(equality_resolution,[],[f172]) ).
fof(f172,plain,
! [X2,X0,X1,X8,X6] :
( ~ relation(X0)
| in(X6,X1)
| ~ in(X8,X2)
| ~ in(ordered_pair(X8,X6),X0)
| relation_image(X0,X2) != X1 ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0] :
( ~ relation(X0)
| ! [X1,X2] :
( ( relation_image(X0,X2) = X1
| ( ( ~ in(sK8(X0,X1,X2),X1)
| ! [X4] :
( ~ in(X4,X2)
| ~ in(ordered_pair(X4,sK8(X0,X1,X2)),X0) ) )
& ( in(sK8(X0,X1,X2),X1)
| ( in(sK9(X0,X1,X2),X2)
& in(ordered_pair(sK9(X0,X1,X2),sK8(X0,X1,X2)),X0) ) ) ) )
& ( ! [X6] :
( ( ( in(sK10(X0,X2,X6),X2)
& in(ordered_pair(sK10(X0,X2,X6),X6),X0) )
| ~ in(X6,X1) )
& ( in(X6,X1)
| ! [X8] :
( ~ in(X8,X2)
| ~ in(ordered_pair(X8,X6),X0) ) ) )
| relation_image(X0,X2) != X1 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10])],[f111,f114,f113,f112]) ).
fof(f112,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ~ in(X3,X1)
| ! [X4] :
( ~ in(X4,X2)
| ~ in(ordered_pair(X4,X3),X0) ) )
& ( in(X3,X1)
| ? [X5] :
( in(X5,X2)
& in(ordered_pair(X5,X3),X0) ) ) )
=> ( ( ~ in(sK8(X0,X1,X2),X1)
| ! [X4] :
( ~ in(X4,X2)
| ~ in(ordered_pair(X4,sK8(X0,X1,X2)),X0) ) )
& ( in(sK8(X0,X1,X2),X1)
| ? [X5] :
( in(X5,X2)
& in(ordered_pair(X5,sK8(X0,X1,X2)),X0) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f113,plain,
! [X0,X1,X2] :
( ? [X5] :
( in(X5,X2)
& in(ordered_pair(X5,sK8(X0,X1,X2)),X0) )
=> ( in(sK9(X0,X1,X2),X2)
& in(ordered_pair(sK9(X0,X1,X2),sK8(X0,X1,X2)),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f114,plain,
! [X0,X2,X6] :
( ? [X7] :
( in(X7,X2)
& in(ordered_pair(X7,X6),X0) )
=> ( in(sK10(X0,X2,X6),X2)
& in(ordered_pair(sK10(X0,X2,X6),X6),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f111,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) ) )
& ( in(X3,X1)
| ? [X5] :
( in(X5,X2)
& in(ordered_pair(X5,X3),X0) ) ) ) )
& ( ! [X6] :
( ( ? [X7] :
( in(X7,X2)
& in(ordered_pair(X7,X6),X0) )
| ~ in(X6,X1) )
& ( in(X6,X1)
| ! [X8] :
( ~ in(X8,X2)
| ~ in(ordered_pair(X8,X6),X0) ) ) )
| relation_image(X0,X2) != X1 ) ) ),
inference(rectify,[],[f110]) ).
fof(f110,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) ) )
& ( in(X3,X1)
| ? [X4] :
( in(X4,X2)
& in(ordered_pair(X4,X3),X0) ) ) ) )
& ( ! [X3] :
( ( ? [X4] :
( in(X4,X2)
& in(ordered_pair(X4,X3),X0) )
| ~ in(X3,X1) )
& ( in(X3,X1)
| ! [X4] :
( ~ in(X4,X2)
| ~ in(ordered_pair(X4,X3),X0) ) ) )
| relation_image(X0,X2) != X1 ) ) ),
inference(nnf_transformation,[],[f86]) ).
fof(f86,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) ) ) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,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) ) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( relation(X0)
=> ! [X2,X1] :
( ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(ordered_pair(X4,X3),X0)
& in(X4,X1) ) )
<=> relation_image(X0,X1) = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d13_relat_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU227+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.15/0.36 % Computer : n023.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 : Tue Aug 30 15:14:05 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.21/0.51 % (11565)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.51 % (11555)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52 % (11552)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52 % (11557)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.52 % (11558)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52 % (11566)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.53 % (11564)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.21/0.53 TRYING [1]
% 0.21/0.53 % (11570)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.53 % (11562)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.54 TRYING [2]
% 0.21/0.54 % (11557)Instruction limit reached!
% 0.21/0.54 % (11557)------------------------------
% 0.21/0.54 % (11557)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (11557)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (11557)Termination reason: Unknown
% 0.21/0.54 % (11557)Termination phase: Clausification
% 0.21/0.54
% 0.21/0.54 % (11557)Memory used [KB]: 1023
% 0.21/0.54 % (11557)Time elapsed: 0.005 s
% 0.21/0.54 % (11557)Instructions burned: 3 (million)
% 0.21/0.54 % (11557)------------------------------
% 0.21/0.54 % (11557)------------------------------
% 0.21/0.54 % (11574)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.54 % (11573)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.54 % (11572)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.21/0.54 TRYING [1]
% 0.21/0.56 TRYING [3]
% 0.21/0.56 TRYING [2]
% 0.21/0.57 TRYING [3]
% 0.21/0.58 % (11561)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.59 % (11578)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.21/0.59 % (11555)Instruction limit reached!
% 0.21/0.59 % (11555)------------------------------
% 0.21/0.59 % (11555)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.59 % (11569)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.21/0.59 % (11553)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.60 % (11549)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.21/0.60 % (11575)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.60 % (11555)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.60 % (11555)Termination reason: Unknown
% 0.21/0.60 % (11555)Termination phase: Finite model building SAT solving
% 0.21/0.60
% 0.21/0.60 % (11555)Memory used [KB]: 8187
% 0.21/0.60 % (11555)Time elapsed: 0.155 s
% 0.21/0.60 % (11555)Instructions burned: 52 (million)
% 0.21/0.60 % (11555)------------------------------
% 0.21/0.60 % (11555)------------------------------
% 0.21/0.61 % (11552)Instruction limit reached!
% 0.21/0.61 % (11552)------------------------------
% 0.21/0.61 % (11552)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.62 % (11552)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.62 % (11552)Termination reason: Unknown
% 0.21/0.62 % (11552)Termination phase: Saturation
% 0.21/0.62
% 0.21/0.62 % (11552)Memory used [KB]: 6012
% 0.21/0.62 % (11552)Time elapsed: 0.185 s
% 0.21/0.62 % (11552)Instructions burned: 51 (million)
% 0.21/0.62 % (11552)------------------------------
% 0.21/0.62 % (11552)------------------------------
% 0.21/0.62 % (11566)Instruction limit reached!
% 0.21/0.62 % (11566)------------------------------
% 0.21/0.62 % (11566)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.62 % (11566)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.62 % (11566)Termination reason: Unknown
% 0.21/0.62 % (11566)Termination phase: Finite model building SAT solving
% 0.21/0.62
% 0.21/0.62 % (11566)Memory used [KB]: 8187
% 0.21/0.62 % (11566)Time elapsed: 0.168 s
% 0.21/0.62 % (11566)Instructions burned: 59 (million)
% 0.21/0.62 % (11566)------------------------------
% 0.21/0.62 % (11566)------------------------------
% 0.21/0.63 % (11558)Instruction limit reached!
% 0.21/0.63 % (11558)------------------------------
% 0.21/0.63 % (11558)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.63 % (11560)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.63 % (11558)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.63 % (11558)Termination reason: Unknown
% 0.21/0.63 % (11558)Termination phase: Saturation
% 0.21/0.63
% 0.21/0.63 % (11558)Memory used [KB]: 2174
% 0.21/0.63 % (11558)Time elapsed: 0.210 s
% 0.21/0.63 % (11558)Instructions burned: 51 (million)
% 0.21/0.63 % (11558)------------------------------
% 0.21/0.63 % (11558)------------------------------
% 0.21/0.63 % (11554)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.21/0.63 TRYING [1]
% 0.21/0.63 TRYING [2]
% 0.21/0.64 % (11568)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.80/0.64 % (11564)First to succeed.
% 1.80/0.64 % (11550)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.80/0.64 % (11559)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 2.21/0.66 % (11567)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.21/0.66 % (11564)Refutation found. Thanks to Tanya!
% 2.21/0.66 % SZS status Theorem for theBenchmark
% 2.21/0.66 % SZS output start Proof for theBenchmark
% See solution above
% 2.21/0.66 % (11564)------------------------------
% 2.21/0.66 % (11564)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.66 % (11564)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.66 % (11564)Termination reason: Refutation
% 2.21/0.66
% 2.21/0.66 % (11564)Memory used [KB]: 2302
% 2.21/0.66 % (11564)Time elapsed: 0.206 s
% 2.21/0.66 % (11564)Instructions burned: 65 (million)
% 2.21/0.66 % (11564)------------------------------
% 2.21/0.66 % (11564)------------------------------
% 2.21/0.66 % (11548)Success in time 0.291 s
%------------------------------------------------------------------------------