TSTP Solution File: SET650+3 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET650+3 : TPTP v8.1.0. Released v2.2.0.
% 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 : n026.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 18:21:45 EDT 2022
% Result : Theorem 0.19s 0.54s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 17
% Syntax : Number of formulae : 73 ( 9 unt; 0 def)
% Number of atoms : 332 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 414 ( 155 ~; 149 |; 65 &)
% ( 11 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 5 con; 0-2 aty)
% Number of variables : 148 ( 123 !; 25 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f204,plain,
$false,
inference(avatar_sat_refutation,[],[f165,f188,f203]) ).
fof(f203,plain,
spl14_2,
inference(avatar_contradiction_clause,[],[f202]) ).
fof(f202,plain,
( $false
| spl14_2 ),
inference(subsumption_resolution,[],[f196,f192]) ).
fof(f192,plain,
( ! [X0] : ~ member(ordered_pair(X0,sK12(range_of(sK2),sK1)),sK2)
| spl14_2 ),
inference(unit_resulting_resolution,[],[f145,f145,f106,f145,f145,f189,f123]) ).
fof(f123,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(ordered_pair(X2,X3),X4)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X3,set_type)
| member(X3,X1)
| ~ ilf_type(X4,relation_type(X0,X1))
| ~ ilf_type(X2,set_type) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ~ ilf_type(X3,set_type)
| ! [X4] :
( ~ member(ordered_pair(X2,X3),X4)
| ( member(X2,X0)
& member(X3,X1) )
| ~ ilf_type(X4,relation_type(X0,X1)) ) )
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f35]) ).
fof(f35,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( member(X2,X0)
& member(X3,X1) )
| ~ member(ordered_pair(X2,X3),X4)
| ~ ilf_type(X4,relation_type(X0,X1)) )
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ! [X4] :
( ilf_type(X4,relation_type(X0,X1))
=> ( member(ordered_pair(X2,X3),X4)
=> ( member(X2,X0)
& member(X3,X1) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3) ).
fof(f189,plain,
( ~ member(sK12(range_of(sK2),sK1),sK1)
| spl14_2 ),
inference(unit_resulting_resolution,[],[f145,f145,f164,f151]) ).
fof(f151,plain,
! [X0,X1] :
( ~ member(sK12(X0,X1),X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( subset(X0,X1)
| ( ~ member(sK12(X0,X1),X1)
& ilf_type(sK12(X0,X1),set_type)
& member(sK12(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ ilf_type(X3,set_type)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f97,f98]) ).
fof(f98,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& ilf_type(X2,set_type)
& member(X2,X0) )
=> ( ~ member(sK12(X0,X1),X1)
& ilf_type(sK12(X0,X1),set_type)
& member(sK12(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f97,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& ilf_type(X2,set_type)
& member(X2,X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ ilf_type(X3,set_type)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ) ) ),
inference(rectify,[],[f96]) ).
fof(f96,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& ilf_type(X2,set_type)
& member(X2,X0) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ member(X2,X0) )
| ~ subset(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ member(X2,X0) ) ) ) ),
inference(flattening,[],[f51]) ).
fof(f51,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) )
<=> subset(X0,X1) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ! [X2] :
( ilf_type(X2,set_type)
=> ( member(X2,X0)
=> member(X2,X1) ) )
<=> subset(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10) ).
fof(f164,plain,
( ~ subset(range_of(sK2),sK1)
| spl14_2 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f162,plain,
( spl14_2
<=> subset(range_of(sK2),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_2])]) ).
fof(f106,plain,
ilf_type(sK2,relation_type(sK0,sK1)),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
( ilf_type(sK1,set_type)
& ( ~ subset(range_of(sK2),sK1)
| ~ subset(domain_of(sK2),sK0) )
& ilf_type(sK2,relation_type(sK0,sK1))
& ilf_type(sK0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f55,f61,f60,f59]) ).
fof(f59,plain,
( ? [X0] :
( ? [X1] :
( ilf_type(X1,set_type)
& ? [X2] :
( ( ~ subset(range_of(X2),X1)
| ~ subset(domain_of(X2),X0) )
& ilf_type(X2,relation_type(X0,X1)) ) )
& ilf_type(X0,set_type) )
=> ( ? [X1] :
( ilf_type(X1,set_type)
& ? [X2] :
( ( ~ subset(range_of(X2),X1)
| ~ subset(domain_of(X2),sK0) )
& ilf_type(X2,relation_type(sK0,X1)) ) )
& ilf_type(sK0,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
( ? [X1] :
( ilf_type(X1,set_type)
& ? [X2] :
( ( ~ subset(range_of(X2),X1)
| ~ subset(domain_of(X2),sK0) )
& ilf_type(X2,relation_type(sK0,X1)) ) )
=> ( ilf_type(sK1,set_type)
& ? [X2] :
( ( ~ subset(range_of(X2),sK1)
| ~ subset(domain_of(X2),sK0) )
& ilf_type(X2,relation_type(sK0,sK1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f61,plain,
( ? [X2] :
( ( ~ subset(range_of(X2),sK1)
| ~ subset(domain_of(X2),sK0) )
& ilf_type(X2,relation_type(sK0,sK1)) )
=> ( ( ~ subset(range_of(sK2),sK1)
| ~ subset(domain_of(sK2),sK0) )
& ilf_type(sK2,relation_type(sK0,sK1)) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
? [X0] :
( ? [X1] :
( ilf_type(X1,set_type)
& ? [X2] :
( ( ~ subset(range_of(X2),X1)
| ~ subset(domain_of(X2),X0) )
& ilf_type(X2,relation_type(X0,X1)) ) )
& ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ( subset(domain_of(X2),X0)
& subset(range_of(X2),X1) ) ) ) ),
inference(negated_conjecture,[],[f27]) ).
fof(f27,conjecture,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ( subset(domain_of(X2),X0)
& subset(range_of(X2),X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_12) ).
fof(f145,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p26) ).
fof(f196,plain,
( member(ordered_pair(sK9(sK12(range_of(sK2),sK1),sK2),sK12(range_of(sK2),sK1)),sK2)
| spl14_2 ),
inference(unit_resulting_resolution,[],[f174,f145,f190,f134]) ).
fof(f134,plain,
! [X0,X1] :
( member(ordered_pair(sK9(X0,X1),X0),X1)
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X0,set_type)
| ~ member(X0,range_of(X1)) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0] :
( ! [X1] :
( ( ( member(X0,range_of(X1))
| ! [X2] :
( ~ member(ordered_pair(X2,X0),X1)
| ~ ilf_type(X2,set_type) ) )
& ( ( member(ordered_pair(sK9(X0,X1),X0),X1)
& ilf_type(sK9(X0,X1),set_type) )
| ~ member(X0,range_of(X1)) ) )
| ~ ilf_type(X1,binary_relation_type) )
| ~ ilf_type(X0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f85,f86]) ).
fof(f86,plain,
! [X0,X1] :
( ? [X3] :
( member(ordered_pair(X3,X0),X1)
& ilf_type(X3,set_type) )
=> ( member(ordered_pair(sK9(X0,X1),X0),X1)
& ilf_type(sK9(X0,X1),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f85,plain,
! [X0] :
( ! [X1] :
( ( ( member(X0,range_of(X1))
| ! [X2] :
( ~ member(ordered_pair(X2,X0),X1)
| ~ ilf_type(X2,set_type) ) )
& ( ? [X3] :
( member(ordered_pair(X3,X0),X1)
& ilf_type(X3,set_type) )
| ~ member(X0,range_of(X1)) ) )
| ~ ilf_type(X1,binary_relation_type) )
| ~ ilf_type(X0,set_type) ),
inference(rectify,[],[f84]) ).
fof(f84,plain,
! [X0] :
( ! [X1] :
( ( ( member(X0,range_of(X1))
| ! [X2] :
( ~ member(ordered_pair(X2,X0),X1)
| ~ ilf_type(X2,set_type) ) )
& ( ? [X2] :
( member(ordered_pair(X2,X0),X1)
& ilf_type(X2,set_type) )
| ~ member(X0,range_of(X1)) ) )
| ~ ilf_type(X1,binary_relation_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0] :
( ! [X1] :
( ( member(X0,range_of(X1))
<=> ? [X2] :
( member(ordered_pair(X2,X0),X1)
& ilf_type(X2,set_type) ) )
| ~ ilf_type(X1,binary_relation_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,binary_relation_type)
=> ( member(X0,range_of(X1))
<=> ? [X2] :
( member(ordered_pair(X2,X0),X1)
& ilf_type(X2,set_type) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2) ).
fof(f190,plain,
( member(sK12(range_of(sK2),sK1),range_of(sK2))
| spl14_2 ),
inference(unit_resulting_resolution,[],[f145,f145,f164,f149]) ).
fof(f149,plain,
! [X0,X1] :
( member(sK12(X0,X1),X0)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f174,plain,
ilf_type(sK2,binary_relation_type),
inference(unit_resulting_resolution,[],[f145,f172,f156]) ).
fof(f156,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ilf_type(X0,binary_relation_type)
| ~ relation_like(X0) ),
inference(duplicate_literal_removal,[],[f120]) ).
fof(f120,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X0,set_type)
| ilf_type(X0,binary_relation_type)
| ~ relation_like(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0)
| ~ ilf_type(X0,set_type) )
& ( ( relation_like(X0)
& ilf_type(X0,set_type) )
| ~ ilf_type(X0,binary_relation_type) ) ) ),
inference(flattening,[],[f73]) ).
fof(f73,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0)
| ~ ilf_type(X0,set_type) )
& ( ( relation_like(X0)
& ilf_type(X0,set_type) )
| ~ ilf_type(X0,binary_relation_type) ) ) ),
inference(nnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ilf_type(X0,binary_relation_type)
<=> ( relation_like(X0)
& ilf_type(X0,set_type) ) ) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( ilf_type(X0,binary_relation_type)
<=> ( relation_like(X0)
& ilf_type(X0,set_type) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p13) ).
fof(f172,plain,
relation_like(sK2),
inference(unit_resulting_resolution,[],[f145,f145,f169,f104]) ).
fof(f104,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X0,set_type)
| relation_like(X2)
| ~ ilf_type(X1,set_type) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ! [X2] :
( relation_like(X2)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1))) )
| ~ ilf_type(X1,set_type) ) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
=> relation_like(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23) ).
fof(f169,plain,
ilf_type(sK2,subset_type(cross_product(sK0,sK1))),
inference(unit_resulting_resolution,[],[f145,f145,f106,f127]) ).
fof(f127,plain,
! [X2,X0,X1] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X2,relation_type(X0,X1)) )
& ! [X3] :
( ilf_type(X3,relation_type(X0,X1))
| ~ ilf_type(X3,subset_type(cross_product(X0,X1))) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(rectify,[],[f54]) ).
fof(f54,plain,
! [X0] :
( ! [X1] :
( ( ! [X3] :
( ilf_type(X3,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X3,relation_type(X0,X1)) )
& ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X2,subset_type(cross_product(X0,X1))) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
=> ilf_type(X2,relation_type(X0,X1)) )
& ! [X3] :
( ilf_type(X3,relation_type(X0,X1))
=> ilf_type(X3,subset_type(cross_product(X0,X1))) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8) ).
fof(f188,plain,
spl14_1,
inference(avatar_contradiction_clause,[],[f187]) ).
fof(f187,plain,
( $false
| spl14_1 ),
inference(subsumption_resolution,[],[f181,f170]) ).
fof(f170,plain,
( ! [X0] : ~ member(ordered_pair(sK12(domain_of(sK2),sK0),X0),sK2)
| spl14_1 ),
inference(unit_resulting_resolution,[],[f145,f145,f106,f145,f145,f166,f124]) ).
fof(f124,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(ordered_pair(X2,X3),X4)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X4,relation_type(X0,X1))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X3,set_type)
| member(X2,X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f166,plain,
( ~ member(sK12(domain_of(sK2),sK0),sK0)
| spl14_1 ),
inference(unit_resulting_resolution,[],[f145,f145,f160,f151]) ).
fof(f160,plain,
( ~ subset(domain_of(sK2),sK0)
| spl14_1 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f158,plain,
( spl14_1
<=> subset(domain_of(sK2),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).
fof(f181,plain,
( member(ordered_pair(sK12(domain_of(sK2),sK0),sK5(sK2,sK12(domain_of(sK2),sK0))),sK2)
| spl14_1 ),
inference(unit_resulting_resolution,[],[f174,f145,f167,f114]) ).
fof(f114,plain,
! [X0,X1] :
( member(ordered_pair(X1,sK5(X0,X1)),X0)
| ~ ilf_type(X0,binary_relation_type)
| ~ member(X1,domain_of(X0))
| ~ ilf_type(X1,set_type) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( member(X1,domain_of(X0))
| ! [X2] :
( ~ member(ordered_pair(X1,X2),X0)
| ~ ilf_type(X2,set_type) ) )
& ( ( member(ordered_pair(X1,sK5(X0,X1)),X0)
& ilf_type(sK5(X0,X1),set_type) )
| ~ member(X1,domain_of(X0)) ) ) )
| ~ ilf_type(X0,binary_relation_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f70,f71]) ).
fof(f71,plain,
! [X0,X1] :
( ? [X3] :
( member(ordered_pair(X1,X3),X0)
& ilf_type(X3,set_type) )
=> ( member(ordered_pair(X1,sK5(X0,X1)),X0)
& ilf_type(sK5(X0,X1),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( member(X1,domain_of(X0))
| ! [X2] :
( ~ member(ordered_pair(X1,X2),X0)
| ~ ilf_type(X2,set_type) ) )
& ( ? [X3] :
( member(ordered_pair(X1,X3),X0)
& ilf_type(X3,set_type) )
| ~ member(X1,domain_of(X0)) ) ) )
| ~ ilf_type(X0,binary_relation_type) ),
inference(rectify,[],[f69]) ).
fof(f69,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( member(X1,domain_of(X0))
| ! [X2] :
( ~ member(ordered_pair(X1,X2),X0)
| ~ ilf_type(X2,set_type) ) )
& ( ? [X2] :
( member(ordered_pair(X1,X2),X0)
& ilf_type(X2,set_type) )
| ~ member(X1,domain_of(X0)) ) ) )
| ~ ilf_type(X0,binary_relation_type) ),
inference(nnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ( member(X1,domain_of(X0))
<=> ? [X2] :
( member(ordered_pair(X1,X2),X0)
& ilf_type(X2,set_type) ) ) )
| ~ ilf_type(X0,binary_relation_type) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( ilf_type(X0,binary_relation_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( member(X1,domain_of(X0))
<=> ? [X2] :
( member(ordered_pair(X1,X2),X0)
& ilf_type(X2,set_type) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4) ).
fof(f167,plain,
( member(sK12(domain_of(sK2),sK0),domain_of(sK2))
| spl14_1 ),
inference(unit_resulting_resolution,[],[f145,f145,f160,f149]) ).
fof(f165,plain,
( ~ spl14_1
| ~ spl14_2 ),
inference(avatar_split_clause,[],[f107,f162,f158]) ).
fof(f107,plain,
( ~ subset(range_of(sK2),sK1)
| ~ subset(domain_of(sK2),sK0) ),
inference(cnf_transformation,[],[f62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET650+3 : TPTP v8.1.0. Released v2.2.0.
% 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
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 14:24:21 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.50 % (17732)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)
% 0.19/0.50 % (17741)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)
% 0.19/0.51 % (17741)Instruction limit reached!
% 0.19/0.51 % (17741)------------------------------
% 0.19/0.51 % (17741)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (17730)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)
% 0.19/0.51 % (17749)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)
% 0.19/0.51 % (17729)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 % (17757)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)
% 0.19/0.52 % (17754)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 % (17741)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (17741)Termination reason: Unknown
% 0.19/0.52 % (17741)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (17741)Memory used [KB]: 1663
% 0.19/0.52 % (17741)Time elapsed: 0.112 s
% 0.19/0.52 % (17741)Instructions burned: 16 (million)
% 0.19/0.52 % (17741)------------------------------
% 0.19/0.52 % (17741)------------------------------
% 0.19/0.52 % (17757)Refutation not found, incomplete strategy% (17757)------------------------------
% 0.19/0.52 % (17757)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (17757)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (17757)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (17757)Memory used [KB]: 6012
% 0.19/0.52 % (17757)Time elapsed: 0.134 s
% 0.19/0.52 % (17757)Instructions burned: 4 (million)
% 0.19/0.52 % (17757)------------------------------
% 0.19/0.52 % (17757)------------------------------
% 0.19/0.52 % (17732)Instruction limit reached!
% 0.19/0.52 % (17732)------------------------------
% 0.19/0.52 % (17732)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (17732)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (17732)Termination reason: Unknown
% 0.19/0.52 % (17732)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (17732)Memory used [KB]: 6140
% 0.19/0.52 % (17732)Time elapsed: 0.128 s
% 0.19/0.52 % (17732)Instructions burned: 13 (million)
% 0.19/0.52 % (17732)------------------------------
% 0.19/0.52 % (17732)------------------------------
% 0.19/0.52 % (17728)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 % (17734)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)
% 0.19/0.52 % (17753)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)
% 0.19/0.53 % (17746)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.53 % (17744)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)
% 0.19/0.53 % (17733)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 % (17752)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)
% 0.19/0.53 % (17737)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)
% 0.19/0.53 % (17751)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)
% 0.19/0.53 % (17731)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 % (17747)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)
% 0.19/0.53 % (17746)Instruction limit reached!
% 0.19/0.53 % (17746)------------------------------
% 0.19/0.53 % (17746)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (17746)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (17746)Termination reason: Unknown
% 0.19/0.53 % (17746)Termination phase: Property scanning
% 0.19/0.53
% 0.19/0.53 % (17746)Memory used [KB]: 1535
% 0.19/0.53 % (17746)Time elapsed: 0.004 s
% 0.19/0.53 % (17746)Instructions burned: 4 (million)
% 0.19/0.53 % (17746)------------------------------
% 0.19/0.53 % (17746)------------------------------
% 0.19/0.53 % (17733)Refutation not found, incomplete strategy% (17733)------------------------------
% 0.19/0.53 % (17733)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (17733)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (17733)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (17733)Memory used [KB]: 1535
% 0.19/0.53 % (17733)Time elapsed: 0.133 s
% 0.19/0.53 % (17733)Instructions burned: 5 (million)
% 0.19/0.53 % (17733)------------------------------
% 0.19/0.53 % (17733)------------------------------
% 0.19/0.53 % (17735)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)
% 0.19/0.53 % (17755)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)
% 0.19/0.53 % (17736)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)
% 0.19/0.53 % (17739)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)
% 0.19/0.53 % (17742)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)
% 0.19/0.53 % (17729)Refutation not found, incomplete strategy% (17729)------------------------------
% 0.19/0.53 % (17729)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (17737)First to succeed.
% 0.19/0.53 % (17745)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)
% 0.19/0.53 % (17730)Instruction limit reached!
% 0.19/0.53 % (17730)------------------------------
% 0.19/0.53 % (17730)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (17730)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (17730)Termination reason: Unknown
% 0.19/0.53 % (17730)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (17730)Memory used [KB]: 1535
% 0.19/0.53 % (17730)Time elapsed: 0.003 s
% 0.19/0.53 % (17730)Instructions burned: 3 (million)
% 0.19/0.53 % (17730)------------------------------
% 0.19/0.53 % (17730)------------------------------
% 0.19/0.54 % (17743)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)
% 0.19/0.54 % (17729)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (17729)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54
% 0.19/0.54 % (17729)Memory used [KB]: 6012
% 0.19/0.54 % (17729)Time elapsed: 0.132 s
% 0.19/0.54 % (17729)Instructions burned: 5 (million)
% 0.19/0.54 % (17729)------------------------------
% 0.19/0.54 % (17729)------------------------------
% 0.19/0.54 % (17748)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)
% 0.19/0.54 % (17731)Refutation not found, incomplete strategy% (17731)------------------------------
% 0.19/0.54 % (17731)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (17737)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 % (17737)------------------------------
% 0.19/0.54 % (17737)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (17737)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (17737)Termination reason: Refutation
% 0.19/0.54
% 0.19/0.54 % (17737)Memory used [KB]: 6012
% 0.19/0.54 % (17737)Time elapsed: 0.137 s
% 0.19/0.54 % (17737)Instructions burned: 5 (million)
% 0.19/0.54 % (17737)------------------------------
% 0.19/0.54 % (17737)------------------------------
% 0.19/0.54 % (17720)Success in time 0.193 s
%------------------------------------------------------------------------------