TSTP Solution File: SEU262+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU262+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_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 18:28:05 EDT 2022
% Result : Theorem 1.39s 0.53s
% Output : Refutation 1.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 17
% Syntax : Number of formulae : 91 ( 16 unt; 0 def)
% Number of atoms : 295 ( 22 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 326 ( 122 ~; 123 |; 47 &)
% ( 15 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 3 con; 0-2 aty)
% Number of variables : 231 ( 193 !; 38 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f274,plain,
$false,
inference(subsumption_resolution,[],[f270,f245]) ).
fof(f245,plain,
~ subset(relation_rng(sK5),sK4),
inference(subsumption_resolution,[],[f124,f240]) ).
fof(f240,plain,
subset(relation_dom(sK5),sK3),
inference(resolution,[],[f233,f117]) ).
fof(f117,plain,
! [X0,X1] :
( ~ in(sK1(X0,X1),X0)
| subset(X1,X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ in(X2,X1)
| in(X2,X0) )
| ~ subset(X1,X0) )
& ( subset(X1,X0)
| ( in(sK1(X0,X1),X1)
& ~ in(sK1(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f77,f78]) ).
fof(f78,plain,
! [X0,X1] :
( ? [X3] :
( in(X3,X1)
& ~ in(X3,X0) )
=> ( in(sK1(X0,X1),X1)
& ~ in(sK1(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f77,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,[],[f76]) ).
fof(f76,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,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( ! [X2] :
( ~ in(X2,X1)
| in(X2,X0) )
<=> subset(X1,X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,plain,
! [X1,X0] :
( ! [X2] :
( in(X2,X1)
=> in(X2,X0) )
<=> subset(X1,X0) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X0] :
( ! [X2] :
( in(X2,X0)
=> in(X2,X1) )
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f233,plain,
in(sK1(sK3,relation_dom(sK5)),sK3),
inference(resolution,[],[f228,f189]) ).
fof(f189,plain,
! [X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),sK5)
| in(X0,sK3) ),
inference(resolution,[],[f186,f163]) ).
fof(f163,plain,
! [X2,X3,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),cartesian_product2(X3,X0))
| in(X1,X3) ),
inference(definition_unfolding,[],[f148,f120]) ).
fof(f120,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_tarski) ).
fof(f148,plain,
! [X2,X3,X0,X1] :
( in(X1,X3)
| ~ in(ordered_pair(X1,X2),cartesian_product2(X3,X0)) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0,X1,X2,X3] :
( ( ( in(X2,X0)
& in(X1,X3) )
| ~ in(ordered_pair(X1,X2),cartesian_product2(X3,X0)) )
& ( in(ordered_pair(X1,X2),cartesian_product2(X3,X0))
| ~ in(X2,X0)
| ~ in(X1,X3) ) ),
inference(rectify,[],[f110]) ).
fof(f110,plain,
! [X2,X3,X0,X1] :
( ( ( in(X0,X2)
& in(X3,X1) )
| ~ in(ordered_pair(X3,X0),cartesian_product2(X1,X2)) )
& ( in(ordered_pair(X3,X0),cartesian_product2(X1,X2))
| ~ in(X0,X2)
| ~ in(X3,X1) ) ),
inference(flattening,[],[f109]) ).
fof(f109,plain,
! [X2,X3,X0,X1] :
( ( ( in(X0,X2)
& in(X3,X1) )
| ~ in(ordered_pair(X3,X0),cartesian_product2(X1,X2)) )
& ( in(ordered_pair(X3,X0),cartesian_product2(X1,X2))
| ~ in(X0,X2)
| ~ in(X3,X1) ) ),
inference(nnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X2,X3,X0,X1] :
( ( in(X0,X2)
& in(X3,X1) )
<=> in(ordered_pair(X3,X0),cartesian_product2(X1,X2)) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
! [X1,X2,X3,X0] :
( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
<=> ( in(X0,X2)
& in(X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t106_zfmisc_1) ).
fof(f186,plain,
! [X0] :
( in(X0,cartesian_product2(sK3,sK4))
| ~ in(X0,sK5) ),
inference(resolution,[],[f182,f119]) ).
fof(f119,plain,
! [X2,X0,X1] :
( ~ subset(X1,X0)
| ~ in(X2,X1)
| in(X2,X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f182,plain,
subset(sK5,cartesian_product2(sK3,sK4)),
inference(resolution,[],[f179,f123]) ).
fof(f123,plain,
! [X0,X1] :
( ~ element(X1,powerset(X0))
| subset(X1,X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1] :
( ( subset(X1,X0)
| ~ element(X1,powerset(X0)) )
& ( element(X1,powerset(X0))
| ~ subset(X1,X0) ) ),
inference(nnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( subset(X1,X0)
<=> element(X1,powerset(X0)) ),
inference(rectify,[],[f33]) ).
fof(f33,axiom,
! [X1,X0] :
( element(X0,powerset(X1))
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(f179,plain,
element(sK5,powerset(cartesian_product2(sK3,sK4))),
inference(resolution,[],[f125,f142]) ).
fof(f142,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X0,X1,X2)
| element(X0,powerset(cartesian_product2(X1,X2))) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1,X2] :
( ~ relation_of2_as_subset(X0,X1,X2)
| element(X0,powerset(cartesian_product2(X1,X2))) ),
inference(rectify,[],[f65]) ).
fof(f65,plain,
! [X1,X2,X0] :
( ~ relation_of2_as_subset(X1,X2,X0)
| element(X1,powerset(cartesian_product2(X2,X0))) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,plain,
! [X2,X1,X0] :
( relation_of2_as_subset(X1,X2,X0)
=> element(X1,powerset(cartesian_product2(X2,X0))) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X1,X2,X0] :
( relation_of2_as_subset(X2,X0,X1)
=> element(X2,powerset(cartesian_product2(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f125,plain,
relation_of2_as_subset(sK5,sK3,sK4),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
( relation_of2_as_subset(sK5,sK3,sK4)
& ( ~ subset(relation_rng(sK5),sK4)
| ~ subset(relation_dom(sK5),sK3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f84,f85]) ).
fof(f85,plain,
( ? [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
& ( ~ subset(relation_rng(X2),X1)
| ~ subset(relation_dom(X2),X0) ) )
=> ( relation_of2_as_subset(sK5,sK3,sK4)
& ( ~ subset(relation_rng(sK5),sK4)
| ~ subset(relation_dom(sK5),sK3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f84,plain,
? [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
& ( ~ subset(relation_rng(X2),X1)
| ~ subset(relation_dom(X2),X0) ) ),
inference(rectify,[],[f61]) ).
fof(f61,plain,
? [X0,X2,X1] :
( relation_of2_as_subset(X1,X0,X2)
& ( ~ subset(relation_rng(X1),X2)
| ~ subset(relation_dom(X1),X0) ) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,plain,
~ ! [X1,X2,X0] :
( relation_of2_as_subset(X1,X0,X2)
=> ( subset(relation_dom(X1),X0)
& subset(relation_rng(X1),X2) ) ),
inference(rectify,[],[f30]) ).
fof(f30,negated_conjecture,
~ ! [X0,X2,X1] :
( relation_of2_as_subset(X2,X0,X1)
=> ( subset(relation_rng(X2),X1)
& subset(relation_dom(X2),X0) ) ),
inference(negated_conjecture,[],[f29]) ).
fof(f29,conjecture,
! [X0,X2,X1] :
( relation_of2_as_subset(X2,X0,X1)
=> ( subset(relation_rng(X2),X1)
& subset(relation_dom(X2),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_relset_1) ).
fof(f228,plain,
in(unordered_pair(unordered_pair(sK1(sK3,relation_dom(sK5)),sK9(sK5,sK1(sK3,relation_dom(sK5)))),singleton(sK1(sK3,relation_dom(sK5)))),sK5),
inference(subsumption_resolution,[],[f224,f180]) ).
fof(f180,plain,
relation(sK5),
inference(resolution,[],[f179,f150]) ).
fof(f150,plain,
! [X2,X0,X1] :
( ~ element(X0,powerset(cartesian_product2(X2,X1)))
| relation(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0,X1,X2] :
( ~ element(X0,powerset(cartesian_product2(X2,X1)))
| relation(X0) ),
inference(rectify,[],[f55]) ).
fof(f55,plain,
! [X2,X0,X1] :
( ~ element(X2,powerset(cartesian_product2(X1,X0)))
| relation(X2) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,plain,
! [X1,X0,X2] :
( element(X2,powerset(cartesian_product2(X1,X0)))
=> relation(X2) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0,X2] :
( element(X2,powerset(cartesian_product2(X0,X1)))
=> relation(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f224,plain,
( ~ relation(sK5)
| in(unordered_pair(unordered_pair(sK1(sK3,relation_dom(sK5)),sK9(sK5,sK1(sK3,relation_dom(sK5)))),singleton(sK1(sK3,relation_dom(sK5)))),sK5) ),
inference(resolution,[],[f223,f167]) ).
fof(f167,plain,
! [X2,X0] :
( ~ in(X2,relation_dom(X0))
| ~ relation(X0)
| in(unordered_pair(unordered_pair(X2,sK9(X0,X2)),singleton(X2)),X0) ),
inference(equality_resolution,[],[f157]) ).
fof(f157,plain,
! [X2,X0,X1] :
( in(unordered_pair(unordered_pair(X2,sK9(X0,X2)),singleton(X2)),X0)
| ~ in(X2,X1)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(definition_unfolding,[],[f134,f120]) ).
fof(f134,plain,
! [X2,X0,X1] :
( in(ordered_pair(X2,sK9(X0,X2)),X0)
| ~ in(X2,X1)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ( in(ordered_pair(X2,sK9(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(sK10(X0,X1),X1)
| ! [X6] : ~ in(ordered_pair(sK10(X0,X1),X6),X0) )
& ( in(sK10(X0,X1),X1)
| in(ordered_pair(sK10(X0,X1),sK11(X0,X1)),X0) ) ) ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11])],[f94,f97,f96,f95]) ).
fof(f95,plain,
! [X0,X2] :
( ? [X3] : in(ordered_pair(X2,X3),X0)
=> in(ordered_pair(X2,sK9(X0,X2)),X0) ),
introduced(choice_axiom,[]) ).
fof(f96,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(sK10(X0,X1),X1)
| ! [X6] : ~ in(ordered_pair(sK10(X0,X1),X6),X0) )
& ( in(sK10(X0,X1),X1)
| ? [X7] : in(ordered_pair(sK10(X0,X1),X7),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f97,plain,
! [X0,X1] :
( ? [X7] : in(ordered_pair(sK10(X0,X1),X7),X0)
=> in(ordered_pair(sK10(X0,X1),sK11(X0,X1)),X0) ),
introduced(choice_axiom,[]) ).
fof(f94,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,[],[f93]) ).
fof(f93,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,[],[f69]) ).
fof(f69,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ? [X3] : in(ordered_pair(X2,X3),X0)
<=> in(X2,X1) )
<=> relation_dom(X0) = X1 )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,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(f223,plain,
in(sK1(sK3,relation_dom(sK5)),relation_dom(sK5)),
inference(subsumption_resolution,[],[f220,f118]) ).
fof(f118,plain,
! [X0,X1] :
( subset(X1,X0)
| in(sK1(X0,X1),X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f220,plain,
( in(sK1(sK3,relation_dom(sK5)),relation_dom(sK5))
| ~ subset(relation_dom(sK5),sK3) ),
inference(resolution,[],[f216,f124]) ).
fof(f216,plain,
( subset(relation_rng(sK5),sK4)
| in(sK1(sK3,relation_dom(sK5)),relation_dom(sK5)) ),
inference(resolution,[],[f215,f117]) ).
fof(f215,plain,
( in(sK1(sK4,relation_rng(sK5)),sK4)
| in(sK1(sK3,relation_dom(sK5)),relation_dom(sK5)) ),
inference(resolution,[],[f190,f206]) ).
fof(f206,plain,
( in(unordered_pair(unordered_pair(sK8(sK5,sK1(sK4,relation_rng(sK5))),sK1(sK4,relation_rng(sK5))),singleton(sK8(sK5,sK1(sK4,relation_rng(sK5))))),sK5)
| in(sK1(sK3,relation_dom(sK5)),relation_dom(sK5)) ),
inference(subsumption_resolution,[],[f202,f180]) ).
fof(f202,plain,
( in(unordered_pair(unordered_pair(sK8(sK5,sK1(sK4,relation_rng(sK5))),sK1(sK4,relation_rng(sK5))),singleton(sK8(sK5,sK1(sK4,relation_rng(sK5))))),sK5)
| in(sK1(sK3,relation_dom(sK5)),relation_dom(sK5))
| ~ relation(sK5) ),
inference(resolution,[],[f201,f166]) ).
fof(f166,plain,
! [X0,X5] :
( ~ in(X5,relation_rng(X0))
| ~ relation(X0)
| in(unordered_pair(unordered_pair(sK8(X0,X5),X5),singleton(sK8(X0,X5))),X0) ),
inference(equality_resolution,[],[f156]) ).
fof(f156,plain,
! [X0,X1,X5] :
( in(unordered_pair(unordered_pair(sK8(X0,X5),X5),singleton(sK8(X0,X5))),X0)
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(definition_unfolding,[],[f127,f120]) ).
fof(f127,plain,
! [X0,X1,X5] :
( in(ordered_pair(sK8(X0,X5),X5),X0)
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0] :
( ! [X1] :
( ( relation_rng(X0) = X1
| ( ( ! [X3] : ~ in(ordered_pair(X3,sK6(X0,X1)),X0)
| ~ in(sK6(X0,X1),X1) )
& ( in(ordered_pair(sK7(X0,X1),sK6(X0,X1)),X0)
| in(sK6(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
& ( in(ordered_pair(sK8(X0,X5),X5),X0)
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8])],[f88,f91,f90,f89]) ).
fof(f89,plain,
! [X0,X1] :
( ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X4,X2),X0)
| in(X2,X1) ) )
=> ( ( ! [X3] : ~ in(ordered_pair(X3,sK6(X0,X1)),X0)
| ~ in(sK6(X0,X1),X1) )
& ( ? [X4] : in(ordered_pair(X4,sK6(X0,X1)),X0)
| in(sK6(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f90,plain,
! [X0,X1] :
( ? [X4] : in(ordered_pair(X4,sK6(X0,X1)),X0)
=> in(ordered_pair(sK7(X0,X1),sK6(X0,X1)),X0) ),
introduced(choice_axiom,[]) ).
fof(f91,plain,
! [X0,X5] :
( ? [X7] : in(ordered_pair(X7,X5),X0)
=> in(ordered_pair(sK8(X0,X5),X5),X0) ),
introduced(choice_axiom,[]) ).
fof(f88,plain,
! [X0] :
( ! [X1] :
( ( relation_rng(X0) = X1
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X4,X2),X0)
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
& ( ? [X7] : in(ordered_pair(X7,X5),X0)
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(rectify,[],[f87]) ).
fof(f87,plain,
! [X0] :
( ! [X1] :
( ( relation_rng(X0) = X1
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) )
& ( ? [X3] : in(ordered_pair(X3,X2),X0)
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X3,X2),X0) )
& ( ? [X3] : in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0] :
( ! [X1] :
( relation_rng(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation_rng(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_relat_1) ).
fof(f201,plain,
( in(sK1(sK4,relation_rng(sK5)),relation_rng(sK5))
| in(sK1(sK3,relation_dom(sK5)),relation_dom(sK5)) ),
inference(resolution,[],[f185,f118]) ).
fof(f185,plain,
( ~ subset(relation_dom(sK5),sK3)
| in(sK1(sK4,relation_rng(sK5)),relation_rng(sK5)) ),
inference(resolution,[],[f124,f118]) ).
fof(f190,plain,
! [X2,X3] :
( ~ in(unordered_pair(unordered_pair(X2,X3),singleton(X2)),sK5)
| in(X3,sK4) ),
inference(resolution,[],[f186,f162]) ).
fof(f162,plain,
! [X2,X3,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),cartesian_product2(X3,X0))
| in(X2,X0) ),
inference(definition_unfolding,[],[f149,f120]) ).
fof(f149,plain,
! [X2,X3,X0,X1] :
( in(X2,X0)
| ~ in(ordered_pair(X1,X2),cartesian_product2(X3,X0)) ),
inference(cnf_transformation,[],[f111]) ).
fof(f124,plain,
( ~ subset(relation_rng(sK5),sK4)
| ~ subset(relation_dom(sK5),sK3) ),
inference(cnf_transformation,[],[f86]) ).
fof(f270,plain,
subset(relation_rng(sK5),sK4),
inference(resolution,[],[f262,f117]) ).
fof(f262,plain,
in(sK1(sK4,relation_rng(sK5)),sK4),
inference(resolution,[],[f257,f190]) ).
fof(f257,plain,
in(unordered_pair(unordered_pair(sK8(sK5,sK1(sK4,relation_rng(sK5))),sK1(sK4,relation_rng(sK5))),singleton(sK8(sK5,sK1(sK4,relation_rng(sK5))))),sK5),
inference(subsumption_resolution,[],[f253,f180]) ).
fof(f253,plain,
( ~ relation(sK5)
| in(unordered_pair(unordered_pair(sK8(sK5,sK1(sK4,relation_rng(sK5))),sK1(sK4,relation_rng(sK5))),singleton(sK8(sK5,sK1(sK4,relation_rng(sK5))))),sK5) ),
inference(resolution,[],[f244,f166]) ).
fof(f244,plain,
in(sK1(sK4,relation_rng(sK5)),relation_rng(sK5)),
inference(subsumption_resolution,[],[f185,f240]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU262+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 15:00:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.49 % (13480)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.49 % (13493)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)
% 0.19/0.49 % (13487)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)
% 0.19/0.50 % (13503)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)
% 0.19/0.50 % (13501)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)
% 0.19/0.50 % (13491)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)
% 0.19/0.51 % (13489)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)
% 0.19/0.51 % (13509)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)
% 0.19/0.51 % (13503)Refutation not found, incomplete strategy% (13503)------------------------------
% 0.19/0.51 % (13503)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (13502)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)
% 0.19/0.52 % (13494)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)
% 0.19/0.52 % (13484)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)
% 0.19/0.52 % (13481)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 % (13491)Instruction limit reached!
% 0.19/0.52 % (13491)------------------------------
% 0.19/0.52 % (13491)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (13483)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)
% 0.19/0.52 % (13485)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)
% 0.19/0.52 % (13482)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)
% 0.19/0.52 % (13490)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)
% 0.19/0.52 % (13492)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)
% 0.19/0.52 % (13503)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (13503)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (13503)Memory used [KB]: 1535
% 0.19/0.52 % (13503)Time elapsed: 0.117 s
% 0.19/0.52 % (13503)Instructions burned: 3 (million)
% 0.19/0.52 % (13503)------------------------------
% 0.19/0.52 % (13503)------------------------------
% 0.19/0.52 % (13494)Instruction limit reached!
% 0.19/0.52 % (13494)------------------------------
% 0.19/0.52 % (13494)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (13494)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (13494)Termination reason: Unknown
% 0.19/0.52 % (13494)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (13494)Memory used [KB]: 6012
% 0.19/0.52 % (13494)Time elapsed: 0.005 s
% 0.19/0.52 % (13494)Instructions burned: 3 (million)
% 0.19/0.52 % (13494)------------------------------
% 0.19/0.52 % (13494)------------------------------
% 0.19/0.52 % (13481)Refutation not found, incomplete strategy% (13481)------------------------------
% 0.19/0.52 % (13481)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (13481)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (13481)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (13481)Memory used [KB]: 5884
% 0.19/0.52 % (13481)Time elapsed: 0.133 s
% 0.19/0.52 % (13481)Instructions burned: 1 (million)
% 0.19/0.52 % (13481)------------------------------
% 0.19/0.52 % (13481)------------------------------
% 1.39/0.53 % (13486)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)
% 1.39/0.53 % (13492)First to succeed.
% 1.39/0.53 % (13491)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.53 % (13491)Termination reason: Unknown
% 1.39/0.53 % (13491)Termination phase: Saturation
% 1.39/0.53
% 1.39/0.53 % (13491)Memory used [KB]: 6140
% 1.39/0.53 % (13491)Time elapsed: 0.127 s
% 1.39/0.53 % (13491)Instructions burned: 7 (million)
% 1.39/0.53 % (13491)------------------------------
% 1.39/0.53 % (13491)------------------------------
% 1.39/0.53 % (13492)Refutation found. Thanks to Tanya!
% 1.39/0.53 % SZS status Theorem for theBenchmark
% 1.39/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.39/0.53 % (13492)------------------------------
% 1.39/0.53 % (13492)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.53 % (13492)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.53 % (13492)Termination reason: Refutation
% 1.39/0.53
% 1.39/0.53 % (13492)Memory used [KB]: 1663
% 1.39/0.53 % (13492)Time elapsed: 0.138 s
% 1.39/0.53 % (13492)Instructions burned: 5 (million)
% 1.39/0.53 % (13492)------------------------------
% 1.39/0.53 % (13492)------------------------------
% 1.39/0.53 % (13479)Success in time 0.184 s
%------------------------------------------------------------------------------