TSTP Solution File: SET650+3 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET650+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n025.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 09:14:59 EDT 2024
% Result : Theorem 0.21s 0.45s
% Output : Refutation 0.21s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
fof(f1684,plain,
$false,
inference(avatar_sat_refutation,[],[f251,f1005,f1525,f1528,f1577,f1641,f1658,f1670,f1683]) ).
fof(f1683,plain,
( spl19_2
| ~ spl19_6 ),
inference(avatar_contradiction_clause,[],[f1682]) ).
fof(f1682,plain,
( $false
| spl19_2
| ~ spl19_6 ),
inference(subsumption_resolution,[],[f1681,f250]) ).
fof(f250,plain,
( ~ subset(range_of(sK4),sK3)
| spl19_2 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f248,plain,
( spl19_2
<=> subset(range_of(sK4),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_2])]) ).
fof(f1681,plain,
( subset(range_of(sK4),sK3)
| ~ spl19_6 ),
inference(duplicate_literal_removal,[],[f1678]) ).
fof(f1678,plain,
( subset(range_of(sK4),sK3)
| subset(range_of(sK4),sK3)
| ~ spl19_6 ),
inference(resolution,[],[f1610,f202]) ).
fof(f202,plain,
! [X0,X1] :
( ~ member(sK13(X0,X1),X1)
| subset(X0,X1) ),
inference(global_subsumption,[],[f119,f118,f117,f116,f120,f121,f122,f125,f124,f123,f128,f127,f126,f129,f178,f131,f179,f130,f180,f133,f132,f139,f138,f137,f136,f135,f134,f140,f181,f143,f182,f142,f183,f141,f184,f177,f185,f144,f186,f149,f187,f148,f188,f147,f189,f152,f190,f151,f191,f150,f192,f153,f193,f194,f154,f195,f196,f156,f197,f198,f155,f199,f200,f160,f201]) ).
fof(f201,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sK13(X0,X1),X1)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f119,f118,f117,f116,f120,f121,f122,f125,f124,f123,f128,f127,f126,f129,f178,f131,f179,f130,f180,f133,f132,f139,f138,f137,f136,f135,f134,f140,f181,f143,f182,f142,f183,f141,f184,f177,f185,f144,f186,f149,f187,f148,f188,f147,f189,f152,f190,f151,f191,f150,f192,f153,f193,f194,f154,f195,f196,f156,f197,f198,f155,f199,f200,f160]) ).
fof(f160,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sK13(X0,X1),X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0] :
( ! [X1] :
( ( ( subset(X0,X1)
| ( ~ member(sK13(X0,X1),X1)
& member(sK13(X0,X1),X0)
& ilf_type(sK13(X0,X1),set_type) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type) )
| ~ subset(X0,X1) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f99,f100]) ).
fof(f100,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0)
& ilf_type(X2,set_type) )
=> ( ~ member(sK13(X0,X1),X1)
& member(sK13(X0,X1),X0)
& ilf_type(sK13(X0,X1),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
! [X0] :
( ! [X1] :
( ( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0)
& ilf_type(X2,set_type) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type) )
| ~ subset(X0,X1) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(rectify,[],[f98]) ).
fof(f98,plain,
! [X0] :
( ! [X1] :
( ( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0)
& ilf_type(X2,set_type) ) )
& ( ! [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(nnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0] :
( ! [X1] :
( ( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f46]) ).
fof(f46,plain,
! [X0] :
( ! [X1] :
( ( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) ) )
| ~ 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)
=> ( subset(X0,X1)
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ( member(X2,X0)
=> member(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10) ).
fof(f200,plain,
! [X3,X0,X1] :
( ~ ilf_type(X3,subset_type(cross_product(X0,X1)))
| ilf_type(X3,relation_type(X0,X1)) ),
inference(global_subsumption,[],[f119,f118,f117,f116,f120,f121,f122,f125,f124,f123,f128,f127,f126,f129,f178,f131,f179,f130,f180,f133,f132,f139,f138,f137,f136,f135,f134,f140,f181,f143,f182,f142,f183,f141,f184,f177,f185,f144,f186,f149,f187,f148,f188,f147,f189,f152,f190,f151,f191,f150,f192,f153,f193,f194,f154,f195,f196,f156,f197,f198,f155,f199]) ).
fof(f199,plain,
! [X3,X0,X1] :
( ilf_type(X3,relation_type(X0,X1))
| ~ ilf_type(X3,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f119,f118,f117,f116,f120,f121,f122,f125,f124,f123,f128,f127,f126,f129,f178,f131,f179,f130,f180,f133,f132,f139,f138,f137,f136,f135,f134,f140,f181,f143,f182,f142,f183,f141,f184,f177,f185,f144,f186,f149,f187,f148,f188,f147,f189,f152,f190,f151,f191,f150,f192,f153,f193,f194,f154,f195,f196,f156,f197,f198,f155]) ).
fof(f155,plain,
! [X3,X0,X1] :
( 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(cnf_transformation,[],[f45]) ).
fof(f45,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(ennf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ilf_type(X2,subset_type(cross_product(X0,X1))) )
& ! [X3] :
( ilf_type(X3,subset_type(cross_product(X0,X1)))
=> ilf_type(X3,relation_type(X0,X1)) ) ) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ! [X3] :
( ilf_type(X3,relation_type(X0,X1))
=> ilf_type(X3,subset_type(cross_product(X0,X1))) )
& ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
=> ilf_type(X2,relation_type(X0,X1)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8) ).
fof(f198,plain,
! [X2,X0,X1] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(global_subsumption,[],[f119,f118,f117,f116,f120,f121,f122,f125,f124,f123,f128,f127,f126,f129,f178,f131,f179,f130,f180,f133,f132,f139,f138,f137,f136,f135,f134,f140,f181,f143,f182,f142,f183,f141,f184,f177,f185,f144,f186,f149,f187,f148,f188,f147,f189,f152,f190,f151,f191,f150,f192,f153,f193,f194,f154,f195,f196,f156,f197]) ).
fof(f197,plain,
! [X2,X0,X1] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f119,f118,f117,f116,f120,f121,f122,f125,f124,f123,f128,f127,f126,f129,f178,f131,f179,f130,f180,f133,f132,f139,f138,f137,f136,f135,f134,f140,f181,f143,f182,f142,f183,f141,f184,f177,f185,f144,f186,f149,f187,f148,f188,f147,f189,f152,f190,f151,f191,f150,f192,f153,f193,f194,f154,f195,f196,f156]) ).
fof(f156,plain,
! [X2,X0,X1] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f45]) ).
fof(f196,plain,
! [X0,X1] : ilf_type(ordered_pair(X0,X1),set_type),
inference(global_subsumption,[],[f119,f118,f117,f116,f120,f121,f122,f125,f124,f123,f128,f127,f126,f129,f178,f131,f179,f130,f180,f133,f132,f139,f138,f137,f136,f135,f134,f140,f181,f143,f182,f142,f183,f141,f184,f177,f185,f144,f186,f149,f187,f148,f188,f147,f189,f152,f190,f151,f191,f150,f192,f153,f193,f194,f154,f195]) ).
fof(f195,plain,
! [X0,X1] :
( ilf_type(ordered_pair(X0,X1),set_type)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f119,f118,f117,f116,f120,f121,f122,f125,f124,f123,f128,f127,f126,f129,f178,f131,f179,f130,f180,f133,f132,f139,f138,f137,f136,f135,f134,f140,f181,f143,f182,f142,f183,f141,f184,f177,f185,f144,f186,f149,f187,f148,f188,f147,f189,f152,f190,f151,f191,f150,f192,f153,f193,f194,f154]) ).
fof(f154,plain,
! [X0,X1] :
( ilf_type(ordered_pair(X0,X1),set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0] :
( ! [X1] :
( ilf_type(ordered_pair(X0,X1),set_type)
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ilf_type(ordered_pair(X0,X1),set_type) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12) ).
fof(f194,plain,
! [X0,X1] : ilf_type(cross_product(X0,X1),set_type),
inference(global_subsumption,[],[f119,f118,f117,f116,f120,f121,f122,f125,f124,f123,f128,f127,f126,f129,f178,f131,f179,f130,f180,f133,f132,f139,f138,f137,f136,f135,f134,f140,f181,f143,f182,f142,f183,f141,f184,f177,f185,f144,f186,f149,f187,f148,f188,f147,f189,f152,f190,f151,f191,f150,f192,f153,f193]) ).
fof(f193,plain,
! [X0,X1] :
( ilf_type(cross_product(X0,X1),set_type)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f119,f118,f117,f116,f120,f121,f122,f125,f124,f123,f128,f127,f126,f129,f178,f131,f179,f130,f180,f133,f132,f139,f138,f137,f136,f135,f134,f140,f181,f143,f182,f142,f183,f141,f184,f177,f185,f144,f186,f149,f187,f148,f188,f147,f189,f152,f190,f151,f191,f150,f192,f153]) ).
fof(f153,plain,
! [X0,X1] :
( ilf_type(cross_product(X0,X1),set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0] :
( ! [X1] :
( ilf_type(cross_product(X0,X1),set_type)
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ilf_type(cross_product(X0,X1),set_type) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11) ).
fof(f192,plain,
! [X0,X1] :
( ilf_type(sK12(X0,X1),set_type)
| ~ member(X0,range_of(X1))
| ~ ilf_type(X1,binary_relation_type) ),
inference(global_subsumption,[],[f119,f118,f117,f116,f120,f121,f122,f125,f124,f123,f128,f127,f126,f129,f178,f131,f179,f130,f180,f133,f132,f139,f138,f137,f136,f135,f134,f140,f181,f143,f182,f142,f183,f141,f184,f177,f185,f144,f186,f149,f187,f148,f188,f147,f189,f152,f190,f151,f191,f150]) ).
fof(f150,plain,
! [X0,X1] :
( ilf_type(sK12(X0,X1),set_type)
| ~ member(X0,range_of(X1))
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0] :
( ! [X1] :
( ( ( member(X0,range_of(X1))
| ! [X2] :
( ~ member(ordered_pair(X2,X0),X1)
| ~ ilf_type(X2,set_type) ) )
& ( ( member(ordered_pair(sK12(X0,X1),X0),X1)
& ilf_type(sK12(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,[sK12])],[f95,f96]) ).
fof(f96,plain,
! [X0,X1] :
( ? [X3] :
( member(ordered_pair(X3,X0),X1)
& ilf_type(X3,set_type) )
=> ( member(ordered_pair(sK12(X0,X1),X0),X1)
& ilf_type(sK12(X0,X1),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f95,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,[],[f94]) ).
fof(f94,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,[],[f42]) ).
fof(f42,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(f191,plain,
! [X0,X1] :
( member(ordered_pair(sK12(X0,X1),X0),X1)
| ~ member(X0,range_of(X1))
| ~ ilf_type(X1,binary_relation_type) ),
inference(global_subsumption,[],[f119,f118,f117,f116,f120,f121,f122,f125,f124,f123,f128,f127,f126,f129,f178,f131,f179,f130,f180,f133,f132,f139,f138,f137,f136,f135,f134,f140,f181,f143,f182,f142,f183,f141,f184,f177,f185,f144,f186,f149,f187,f148,f188,f147,f189,f152,f190,f151]) ).
fof(f151,plain,
! [X0,X1] :
( member(ordered_pair(sK12(X0,X1),X0),X1)
| ~ member(X0,range_of(X1))
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f97]) ).
fof(f190,plain,
! [X2,X0,X1] :
( member(X0,range_of(X1))
| ~ member(ordered_pair(X2,X0),X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,binary_relation_type) ),
inference(global_subsumption,[],[f119,f118,f117,f116,f120,f121,f122,f125,f124,f123,f128,f127,f126,f129,f178,f131,f179,f130,f180,f133,f132,f139,f138,f137,f136,f135,f134,f140,f181,f143,f182,f142,f183,f141,f184,f177,f185,f144,f186,f149,f187,f148,f188,f147,f189,f152]) ).
fof(f152,plain,
! [X2,X0,X1] :
( member(X0,range_of(X1))
| ~ member(ordered_pair(X2,X0),X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f97]) ).
fof(f189,plain,
! [X0,X1] :
( ilf_type(sK11(X0,X1),set_type)
| ~ member(X0,domain_of(X1))
| ~ ilf_type(X1,binary_relation_type) ),
inference(global_subsumption,[],[f119,f118,f117,f116,f120,f121,f122,f125,f124,f123,f128,f127,f126,f129,f178,f131,f179,f130,f180,f133,f132,f139,f138,f137,f136,f135,f134,f140,f181,f143,f182,f142,f183,f141,f184,f177,f185,f144,f186,f149,f187,f148,f188,f147]) ).
fof(f147,plain,
! [X0,X1] :
( ilf_type(sK11(X0,X1),set_type)
| ~ member(X0,domain_of(X1))
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0] :
( ! [X1] :
( ( ( member(X0,domain_of(X1))
| ! [X2] :
( ~ member(ordered_pair(X0,X2),X1)
| ~ ilf_type(X2,set_type) ) )
& ( ( member(ordered_pair(X0,sK11(X0,X1)),X1)
& ilf_type(sK11(X0,X1),set_type) )
| ~ member(X0,domain_of(X1)) ) )
| ~ ilf_type(X1,binary_relation_type) )
| ~ ilf_type(X0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f91,f92]) ).
fof(f92,plain,
! [X0,X1] :
( ? [X3] :
( member(ordered_pair(X0,X3),X1)
& ilf_type(X3,set_type) )
=> ( member(ordered_pair(X0,sK11(X0,X1)),X1)
& ilf_type(sK11(X0,X1),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f91,plain,
! [X0] :
( ! [X1] :
( ( ( member(X0,domain_of(X1))
| ! [X2] :
( ~ member(ordered_pair(X0,X2),X1)
| ~ ilf_type(X2,set_type) ) )
& ( ? [X3] :
( member(ordered_pair(X0,X3),X1)
& ilf_type(X3,set_type) )
| ~ member(X0,domain_of(X1)) ) )
| ~ ilf_type(X1,binary_relation_type) )
| ~ ilf_type(X0,set_type) ),
inference(rectify,[],[f90]) ).
fof(f90,plain,
! [X0] :
( ! [X1] :
( ( ( member(X0,domain_of(X1))
| ! [X2] :
( ~ member(ordered_pair(X0,X2),X1)
| ~ ilf_type(X2,set_type) ) )
& ( ? [X2] :
( member(ordered_pair(X0,X2),X1)
& ilf_type(X2,set_type) )
| ~ member(X0,domain_of(X1)) ) )
| ~ ilf_type(X1,binary_relation_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0] :
( ! [X1] :
( ( member(X0,domain_of(X1))
<=> ? [X2] :
( member(ordered_pair(X0,X2),X1)
& ilf_type(X2,set_type) ) )
| ~ ilf_type(X1,binary_relation_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,binary_relation_type)
=> ( member(X0,domain_of(X1))
<=> ? [X2] :
( member(ordered_pair(X0,X2),X1)
& ilf_type(X2,set_type) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
fof(f188,plain,
! [X0,X1] :
( member(ordered_pair(X0,sK11(X0,X1)),X1)
| ~ member(X0,domain_of(X1))
| ~ ilf_type(X1,binary_relation_type) ),
inference(global_subsumption,[],[f119,f118,f117,f116,f120,f121,f122,f125,f124,f123,f128,f127,f126,f129,f178,f131,f179,f130,f180,f133,f132,f139,f138,f137,f136,f135,f134,f140,f181,f143,f182,f142,f183,f141,f184,f177,f185,f144,f186,f149,f187,f148]) ).
fof(f148,plain,
! [X0,X1] :
( member(ordered_pair(X0,sK11(X0,X1)),X1)
| ~ member(X0,domain_of(X1))
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f93]) ).
fof(f187,plain,
! [X2,X0,X1] :
( member(X0,domain_of(X1))
| ~ member(ordered_pair(X0,X2),X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,binary_relation_type) ),
inference(global_subsumption,[],[f119,f118,f117,f116,f120,f121,f122,f125,f124,f123,f128,f127,f126,f129,f178,f131,f179,f130,f180,f133,f132,f139,f138,f137,f136,f135,f134,f140,f181,f143,f182,f142,f183,f141,f184,f177,f185,f144,f186,f149]) ).
fof(f149,plain,
! [X2,X0,X1] :
( member(X0,domain_of(X1))
| ~ member(ordered_pair(X0,X2),X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f93]) ).
fof(f186,plain,
! [X0] :
( ~ ilf_type(X0,binary_relation_type)
| relation_like(X0) ),
inference(global_subsumption,[],[f119,f118,f117,f116,f120,f121,f122,f125,f124,f123,f128,f127,f126,f129,f178,f131,f179,f130,f180,f133,f132,f139,f138,f137,f136,f135,f134,f140,f181,f143,f182,f142,f183,f141,f184,f177,f185,f144]) ).
fof(f144,plain,
! [X0] :
( relation_like(X0)
| ~ ilf_type(X0,binary_relation_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0] :
( ( ( ilf_type(X0,binary_relation_type)
| ~ ilf_type(X0,set_type)
| ~ relation_like(X0) )
& ( ( ilf_type(X0,set_type)
& relation_like(X0) )
| ~ ilf_type(X0,binary_relation_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f88]) ).
fof(f88,plain,
! [X0] :
( ( ( ilf_type(X0,binary_relation_type)
| ~ ilf_type(X0,set_type)
| ~ relation_like(X0) )
& ( ( ilf_type(X0,set_type)
& relation_like(X0) )
| ~ ilf_type(X0,binary_relation_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0] :
( ( ilf_type(X0,binary_relation_type)
<=> ( ilf_type(X0,set_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)
<=> ( ilf_type(X0,set_type)
& relation_like(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p13) ).
fof(f185,plain,
! [X0] :
( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0) ),
inference(global_subsumption,[],[f119,f118,f117,f116,f120,f121,f122,f125,f124,f123,f128,f127,f126,f129,f178,f131,f179,f130,f180,f133,f132,f139,f138,f137,f136,f135,f134,f140,f181,f143,f182,f142,f183,f141,f184,f177]) ).
fof(f177,plain,
! [X0] :
( ilf_type(X0,binary_relation_type)
| ~ ilf_type(X0,set_type)
| ~ relation_like(X0) ),
inference(duplicate_literal_removal,[],[f146]) ).
fof(f146,plain,
! [X0] :
( ilf_type(X0,binary_relation_type)
| ~ ilf_type(X0,set_type)
| ~ relation_like(X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f89]) ).
fof(f184,plain,
! [X2,X0] :
( ~ member(X2,X0)
| ~ ilf_type(X2,set_type)
| ~ empty(X0) ),
inference(global_subsumption,[],[f119,f118,f117,f116,f120,f121,f122,f125,f124,f123,f128,f127,f126,f129,f178,f131,f179,f130,f180,f133,f132,f139,f138,f137,f136,f135,f134,f140,f181,f143,f182,f142,f183,f141]) ).
fof(f141,plain,
! [X2,X0] :
( ~ member(X2,X0)
| ~ ilf_type(X2,set_type)
| ~ empty(X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0] :
( ( ( empty(X0)
| ( member(sK10(X0),X0)
& ilf_type(sK10(X0),set_type) ) )
& ( ! [X2] :
( ~ member(X2,X0)
| ~ ilf_type(X2,set_type) )
| ~ empty(X0) ) )
| ~ ilf_type(X0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f85,f86]) ).
fof(f86,plain,
! [X0] :
( ? [X1] :
( member(X1,X0)
& ilf_type(X1,set_type) )
=> ( member(sK10(X0),X0)
& ilf_type(sK10(X0),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f85,plain,
! [X0] :
( ( ( empty(X0)
| ? [X1] :
( member(X1,X0)
& ilf_type(X1,set_type) ) )
& ( ! [X2] :
( ~ member(X2,X0)
| ~ ilf_type(X2,set_type) )
| ~ empty(X0) ) )
| ~ ilf_type(X0,set_type) ),
inference(rectify,[],[f84]) ).
fof(f84,plain,
! [X0] :
( ( ( empty(X0)
| ? [X1] :
( member(X1,X0)
& ilf_type(X1,set_type) ) )
& ( ! [X1] :
( ~ member(X1,X0)
| ~ ilf_type(X1,set_type) )
| ~ empty(X0) ) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0] :
( ( empty(X0)
<=> ! [X1] :
( ~ member(X1,X0)
| ~ ilf_type(X1,set_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( empty(X0)
<=> ! [X1] :
( ilf_type(X1,set_type)
=> ~ member(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p24) ).
fof(f183,plain,
! [X0] :
( empty(X0)
| ilf_type(sK10(X0),set_type) ),
inference(global_subsumption,[],[f119,f118,f117,f116,f120,f121,f122,f125,f124,f123,f128,f127,f126,f129,f178,f131,f179,f130,f180,f133,f132,f139,f138,f137,f136,f135,f134,f140,f181,f143,f182,f142]) ).
fof(f142,plain,
! [X0] :
( empty(X0)
| ilf_type(sK10(X0),set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f87]) ).
fof(f182,plain,
! [X0] :
( member(sK10(X0),X0)
| empty(X0) ),
inference(global_subsumption,[],[f119,f118,f117,f116,f120,f121,f122,f125,f124,f123,f128,f127,f126,f129,f178,f131,f179,f130,f180,f133,f132,f139,f138,f137,f136,f135,f134,f140,f181,f143]) ).
fof(f143,plain,
! [X0] :
( empty(X0)
| member(sK10(X0),X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f87]) ).
fof(f181,plain,
! [X0] : sP1(X0),
inference(global_subsumption,[],[f119,f118,f117,f116,f120,f121,f122,f125,f124,f123,f128,f127,f126,f129,f178,f131,f179,f130,f180,f133,f132,f139,f138,f137,f136,f135,f134,f140]) ).
fof(f140,plain,
! [X0] :
( sP1(X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0] :
( sP1(X0)
| ~ ilf_type(X0,set_type) ),
inference(definition_folding,[],[f38,f63,f62]) ).
fof(f62,plain,
! [X0] :
( sP0(X0)
<=> ! [X1] :
( ? [X2] :
( ? [X3] :
( ordered_pair(X2,X3) = X1
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) )
| ~ member(X1,X0)
| ~ ilf_type(X1,set_type) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f63,plain,
! [X0] :
( ( relation_like(X0)
<=> sP0(X0) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f38,plain,
! [X0] :
( ( relation_like(X0)
<=> ! [X1] :
( ? [X2] :
( ? [X3] :
( ordered_pair(X2,X3) = X1
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) )
| ~ member(X1,X0)
| ~ ilf_type(X1,set_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f37]) ).
fof(f37,plain,
! [X0] :
( ( relation_like(X0)
<=> ! [X1] :
( ? [X2] :
( ? [X3] :
( ordered_pair(X2,X3) = X1
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) )
| ~ member(X1,X0)
| ~ ilf_type(X1,set_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( relation_like(X0)
<=> ! [X1] :
( ilf_type(X1,set_type)
=> ( member(X1,X0)
=> ? [X2] :
( ? [X3] :
( ordered_pair(X2,X3) = X1
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22) ).
fof(f134,plain,
! [X0,X4] :
( ilf_type(sK8(X4),set_type)
| ~ member(X4,X0)
| ~ ilf_type(X4,set_type)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0] :
( ( sP0(X0)
| ( ! [X2] :
( ! [X3] :
( ordered_pair(X2,X3) != sK7(X0)
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) )
& member(sK7(X0),X0)
& ilf_type(sK7(X0),set_type) ) )
& ( ! [X4] :
( ( ordered_pair(sK8(X4),sK9(X4)) = X4
& ilf_type(sK9(X4),set_type)
& ilf_type(sK8(X4),set_type) )
| ~ member(X4,X0)
| ~ ilf_type(X4,set_type) )
| ~ sP0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9])],[f79,f82,f81,f80]) ).
fof(f80,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ! [X3] :
( ordered_pair(X2,X3) != X1
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) )
& member(X1,X0)
& ilf_type(X1,set_type) )
=> ( ! [X2] :
( ! [X3] :
( ordered_pair(X2,X3) != sK7(X0)
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) )
& member(sK7(X0),X0)
& ilf_type(sK7(X0),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
! [X4] :
( ? [X5] :
( ? [X6] :
( ordered_pair(X5,X6) = X4
& ilf_type(X6,set_type) )
& ilf_type(X5,set_type) )
=> ( ? [X6] :
( ordered_pair(sK8(X4),X6) = X4
& ilf_type(X6,set_type) )
& ilf_type(sK8(X4),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f82,plain,
! [X4] :
( ? [X6] :
( ordered_pair(sK8(X4),X6) = X4
& ilf_type(X6,set_type) )
=> ( ordered_pair(sK8(X4),sK9(X4)) = X4
& ilf_type(sK9(X4),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f79,plain,
! [X0] :
( ( sP0(X0)
| ? [X1] :
( ! [X2] :
( ! [X3] :
( ordered_pair(X2,X3) != X1
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) )
& member(X1,X0)
& ilf_type(X1,set_type) ) )
& ( ! [X4] :
( ? [X5] :
( ? [X6] :
( ordered_pair(X5,X6) = X4
& ilf_type(X6,set_type) )
& ilf_type(X5,set_type) )
| ~ member(X4,X0)
| ~ ilf_type(X4,set_type) )
| ~ sP0(X0) ) ),
inference(rectify,[],[f78]) ).
fof(f78,plain,
! [X0] :
( ( sP0(X0)
| ? [X1] :
( ! [X2] :
( ! [X3] :
( ordered_pair(X2,X3) != X1
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) )
& member(X1,X0)
& ilf_type(X1,set_type) ) )
& ( ! [X1] :
( ? [X2] :
( ? [X3] :
( ordered_pair(X2,X3) = X1
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) )
| ~ member(X1,X0)
| ~ ilf_type(X1,set_type) )
| ~ sP0(X0) ) ),
inference(nnf_transformation,[],[f62]) ).
fof(f135,plain,
! [X0,X4] :
( ilf_type(sK9(X4),set_type)
| ~ member(X4,X0)
| ~ ilf_type(X4,set_type)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f136,plain,
! [X0,X4] :
( ordered_pair(sK8(X4),sK9(X4)) = X4
| ~ member(X4,X0)
| ~ ilf_type(X4,set_type)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f137,plain,
! [X0] :
( sP0(X0)
| ilf_type(sK7(X0),set_type) ),
inference(cnf_transformation,[],[f83]) ).
fof(f138,plain,
! [X0] :
( member(sK7(X0),X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f139,plain,
! [X2,X3,X0] :
( sP0(X0)
| ordered_pair(X2,X3) != sK7(X0)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type) ),
inference(cnf_transformation,[],[f83]) ).
fof(f132,plain,
! [X0] :
( sP0(X0)
| ~ relation_like(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0] :
( ( ( relation_like(X0)
| ~ sP0(X0) )
& ( sP0(X0)
| ~ relation_like(X0) ) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f63]) ).
fof(f133,plain,
! [X0] :
( relation_like(X0)
| ~ sP0(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f180,plain,
! [X0] : ~ empty(power_set(X0)),
inference(global_subsumption,[],[f119,f118,f117,f116,f120,f121,f122,f125,f124,f123,f128,f127,f126,f129,f178,f131,f179,f130]) ).
fof(f130,plain,
! [X0] :
( ~ empty(power_set(X0))
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0] :
( ( ilf_type(power_set(X0),set_type)
& ~ empty(power_set(X0)) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( ilf_type(power_set(X0),set_type)
& ~ empty(power_set(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19) ).
fof(f179,plain,
! [X0] : ilf_type(power_set(X0),set_type),
inference(global_subsumption,[],[f119,f118,f117,f116,f120,f121,f122,f125,f124,f123,f128,f127,f126,f129,f178,f131]) ).
fof(f131,plain,
! [X0] :
( ilf_type(power_set(X0),set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f36]) ).
fof(f178,plain,
! [X0] : subset(X0,X0),
inference(global_subsumption,[],[f119,f118,f117,f116,f120,f121,f122,f125,f124,f123,f128,f127,f126,f129]) ).
fof(f129,plain,
! [X0] :
( subset(X0,X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0] :
( subset(X0,X0)
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> subset(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17) ).
fof(f126,plain,
! [X0,X1] :
( ilf_type(sK6(X0,X1),set_type)
| ~ member(X1,domain_of(X0))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,binary_relation_type) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0] :
( ! [X1] :
( ( ( member(X1,domain_of(X0))
| ! [X2] :
( ~ member(ordered_pair(X1,X2),X0)
| ~ ilf_type(X2,set_type) ) )
& ( ( member(ordered_pair(X1,sK6(X0,X1)),X0)
& ilf_type(sK6(X0,X1),set_type) )
| ~ member(X1,domain_of(X0)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,binary_relation_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f74,f75]) ).
fof(f75,plain,
! [X0,X1] :
( ? [X3] :
( member(ordered_pair(X1,X3),X0)
& ilf_type(X3,set_type) )
=> ( member(ordered_pair(X1,sK6(X0,X1)),X0)
& ilf_type(sK6(X0,X1),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f74,plain,
! [X0] :
( ! [X1] :
( ( ( 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(X1,set_type) )
| ~ ilf_type(X0,binary_relation_type) ),
inference(rectify,[],[f73]) ).
fof(f73,plain,
! [X0] :
( ! [X1] :
( ( ( 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(X1,set_type) )
| ~ ilf_type(X0,binary_relation_type) ),
inference(nnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0] :
( ! [X1] :
( ( member(X1,domain_of(X0))
<=> ? [X2] :
( member(ordered_pair(X1,X2),X0)
& ilf_type(X2,set_type) ) )
| ~ ilf_type(X1,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(f127,plain,
! [X0,X1] :
( member(ordered_pair(X1,sK6(X0,X1)),X0)
| ~ member(X1,domain_of(X0))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,binary_relation_type) ),
inference(cnf_transformation,[],[f76]) ).
fof(f128,plain,
! [X2,X0,X1] :
( member(X1,domain_of(X0))
| ~ member(ordered_pair(X1,X2),X0)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,binary_relation_type) ),
inference(cnf_transformation,[],[f76]) ).
fof(f123,plain,
! [X0,X1] :
( ilf_type(sK5(X0,X1),set_type)
| ~ member(X1,range_of(X0))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,binary_relation_type) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0] :
( ! [X1] :
( ( ( member(X1,range_of(X0))
| ! [X2] :
( ~ member(ordered_pair(X2,X1),X0)
| ~ ilf_type(X2,set_type) ) )
& ( ( member(ordered_pair(sK5(X0,X1),X1),X0)
& ilf_type(sK5(X0,X1),set_type) )
| ~ member(X1,range_of(X0)) ) )
| ~ ilf_type(X1,set_type) )
| ~ 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(X3,X1),X0)
& ilf_type(X3,set_type) )
=> ( member(ordered_pair(sK5(X0,X1),X1),X0)
& ilf_type(sK5(X0,X1),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
! [X0] :
( ! [X1] :
( ( ( member(X1,range_of(X0))
| ! [X2] :
( ~ member(ordered_pair(X2,X1),X0)
| ~ ilf_type(X2,set_type) ) )
& ( ? [X3] :
( member(ordered_pair(X3,X1),X0)
& ilf_type(X3,set_type) )
| ~ member(X1,range_of(X0)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,binary_relation_type) ),
inference(rectify,[],[f69]) ).
fof(f69,plain,
! [X0] :
( ! [X1] :
( ( ( member(X1,range_of(X0))
| ! [X2] :
( ~ member(ordered_pair(X2,X1),X0)
| ~ ilf_type(X2,set_type) ) )
& ( ? [X2] :
( member(ordered_pair(X2,X1),X0)
& ilf_type(X2,set_type) )
| ~ member(X1,range_of(X0)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,binary_relation_type) ),
inference(nnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0] :
( ! [X1] :
( ( member(X1,range_of(X0))
<=> ? [X2] :
( member(ordered_pair(X2,X1),X0)
& ilf_type(X2,set_type) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,binary_relation_type) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( ilf_type(X0,binary_relation_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( member(X1,range_of(X0))
<=> ? [X2] :
( member(ordered_pair(X2,X1),X0)
& ilf_type(X2,set_type) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6) ).
fof(f124,plain,
! [X0,X1] :
( member(ordered_pair(sK5(X0,X1),X1),X0)
| ~ member(X1,range_of(X0))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,binary_relation_type) ),
inference(cnf_transformation,[],[f72]) ).
fof(f125,plain,
! [X2,X0,X1] :
( member(X1,range_of(X0))
| ~ member(ordered_pair(X2,X1),X0)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,binary_relation_type) ),
inference(cnf_transformation,[],[f72]) ).
fof(f122,plain,
! [X0] :
( ilf_type(domain_of(X0),set_type)
| ~ ilf_type(X0,binary_relation_type) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0] :
( ilf_type(domain_of(X0),set_type)
| ~ ilf_type(X0,binary_relation_type) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( ilf_type(X0,binary_relation_type)
=> ilf_type(domain_of(X0),set_type) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5) ).
fof(f121,plain,
! [X0] :
( ilf_type(range_of(X0),set_type)
| ~ ilf_type(X0,binary_relation_type) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0] :
( ilf_type(range_of(X0),set_type)
| ~ ilf_type(X0,binary_relation_type) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( ilf_type(X0,binary_relation_type)
=> ilf_type(range_of(X0),set_type) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7) ).
fof(f120,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(f116,plain,
ilf_type(sK2,set_type),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
( ( ~ subset(range_of(sK4),sK3)
| ~ subset(domain_of(sK4),sK2) )
& ilf_type(sK4,relation_type(sK2,sK3))
& ilf_type(sK3,set_type)
& ilf_type(sK2,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f30,f67,f66,f65]) ).
fof(f65,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ( ~ subset(range_of(X2),X1)
| ~ subset(domain_of(X2),X0) )
& ilf_type(X2,relation_type(X0,X1)) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) )
=> ( ? [X1] :
( ? [X2] :
( ( ~ subset(range_of(X2),X1)
| ~ subset(domain_of(X2),sK2) )
& ilf_type(X2,relation_type(sK2,X1)) )
& ilf_type(X1,set_type) )
& ilf_type(sK2,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f66,plain,
( ? [X1] :
( ? [X2] :
( ( ~ subset(range_of(X2),X1)
| ~ subset(domain_of(X2),sK2) )
& ilf_type(X2,relation_type(sK2,X1)) )
& ilf_type(X1,set_type) )
=> ( ? [X2] :
( ( ~ subset(range_of(X2),sK3)
| ~ subset(domain_of(X2),sK2) )
& ilf_type(X2,relation_type(sK2,sK3)) )
& ilf_type(sK3,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f67,plain,
( ? [X2] :
( ( ~ subset(range_of(X2),sK3)
| ~ subset(domain_of(X2),sK2) )
& ilf_type(X2,relation_type(sK2,sK3)) )
=> ( ( ~ subset(range_of(sK4),sK3)
| ~ subset(domain_of(sK4),sK2) )
& ilf_type(sK4,relation_type(sK2,sK3)) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ~ subset(range_of(X2),X1)
| ~ subset(domain_of(X2),X0) )
& ilf_type(X2,relation_type(X0,X1)) )
& ilf_type(X1,set_type) )
& 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(range_of(X2),X1)
& subset(domain_of(X2),X0) ) ) ) ),
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(range_of(X2),X1)
& subset(domain_of(X2),X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_12) ).
fof(f117,plain,
ilf_type(sK3,set_type),
inference(cnf_transformation,[],[f68]) ).
fof(f118,plain,
ilf_type(sK4,relation_type(sK2,sK3)),
inference(cnf_transformation,[],[f68]) ).
fof(f119,plain,
( ~ subset(range_of(sK4),sK3)
| ~ subset(domain_of(sK4),sK2) ),
inference(cnf_transformation,[],[f68]) ).
fof(f1610,plain,
( ! [X0] :
( member(sK13(range_of(sK4),X0),sK3)
| subset(range_of(sK4),X0) )
| ~ spl19_6 ),
inference(resolution,[],[f1593,f204]) ).
fof(f204,plain,
! [X0,X1] :
( member(sK13(X0,X1),X0)
| subset(X0,X1) ),
inference(global_subsumption,[],[f119,f118,f117,f116,f120,f121,f122,f125,f124,f123,f128,f127,f126,f129,f178,f131,f179,f130,f180,f133,f132,f139,f138,f137,f136,f135,f134,f140,f181,f143,f182,f142,f183,f141,f184,f177,f185,f144,f186,f149,f187,f148,f188,f147,f189,f152,f190,f151,f191,f150,f192,f153,f193,f194,f154,f195,f196,f156,f197,f198,f155,f199,f200,f160,f201,f202,f159,f203]) ).
fof(f203,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK13(X0,X1),X0)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f119,f118,f117,f116,f120,f121,f122,f125,f124,f123,f128,f127,f126,f129,f178,f131,f179,f130,f180,f133,f132,f139,f138,f137,f136,f135,f134,f140,f181,f143,f182,f142,f183,f141,f184,f177,f185,f144,f186,f149,f187,f148,f188,f147,f189,f152,f190,f151,f191,f150,f192,f153,f193,f194,f154,f195,f196,f156,f197,f198,f155,f199,f200,f160,f201,f202,f159]) ).
fof(f159,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK13(X0,X1),X0)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f101]) ).
fof(f1593,plain,
( ! [X0] :
( ~ member(X0,range_of(sK4))
| member(X0,sK3) )
| ~ spl19_6 ),
inference(subsumption_resolution,[],[f1585,f1523]) ).
fof(f1523,plain,
( ilf_type(sK4,binary_relation_type)
| ~ spl19_6 ),
inference(avatar_component_clause,[],[f1522]) ).
fof(f1522,plain,
( spl19_6
<=> ilf_type(sK4,binary_relation_type) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_6])]) ).
fof(f1585,plain,
! [X0] :
( ~ ilf_type(sK4,binary_relation_type)
| member(X0,sK3)
| ~ member(X0,range_of(sK4)) ),
inference(resolution,[],[f562,f118]) ).
fof(f562,plain,
! [X2,X3,X0,X1] :
( ~ ilf_type(X1,relation_type(X3,X2))
| ~ ilf_type(X1,binary_relation_type)
| member(X0,X2)
| ~ member(X0,range_of(X1)) ),
inference(resolution,[],[f191,f226]) ).
fof(f226,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(ordered_pair(X2,X3),X4)
| member(X3,X1)
| ~ ilf_type(X4,relation_type(X0,X1)) ),
inference(global_subsumption,[],[f119,f118,f117,f116,f120,f121,f122,f125,f124,f123,f128,f127,f126,f129,f178,f131,f179,f130,f180,f133,f132,f139,f138,f137,f136,f135,f134,f140,f181,f143,f182,f142,f183,f141,f184,f177,f185,f144,f186,f149,f187,f148,f188,f147,f189,f152,f190,f151,f191,f150,f192,f153,f193,f194,f154,f195,f196,f156,f197,f198,f155,f199,f200,f160,f201,f202,f159,f203,f204,f158,f205,f206,f157,f207,f208,f209,f164,f210,f211,f163,f212,f213,f162,f214,f215,f161,f216,f217,f218,f166,f219,f220,f165,f221,f222,f168,f223,f224,f225]) ).
fof(f225,plain,
! [X2,X3,X0,X1,X4] :
( member(X3,X1)
| ~ member(ordered_pair(X2,X3),X4)
| ~ ilf_type(X4,relation_type(X0,X1))
| ~ ilf_type(X3,set_type) ),
inference(global_subsumption,[],[f119,f118,f117,f116,f120,f121,f122,f125,f124,f123,f128,f127,f126,f129,f178,f131,f179,f130,f180,f133,f132,f139,f138,f137,f136,f135,f134,f140,f181,f143,f182,f142,f183,f141,f184,f177,f185,f144,f186,f149,f187,f148,f188,f147,f189,f152,f190,f151,f191,f150,f192,f153,f193,f194,f154,f195,f196,f156,f197,f198,f155,f199,f200,f160,f201,f202,f159,f203,f204,f158,f205,f206,f157,f207,f208,f209,f164,f210,f211,f163,f212,f213,f162,f214,f215,f161,f216,f217,f218,f166,f219,f220,f165,f221,f222,f168,f223,f224]) ).
fof(f224,plain,
! [X2,X3,X0,X1,X4] :
( 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) ),
inference(global_subsumption,[],[f119,f118,f117,f116,f120,f121,f122,f125,f124,f123,f128,f127,f126,f129,f178,f131,f179,f130,f180,f133,f132,f139,f138,f137,f136,f135,f134,f140,f181,f143,f182,f142,f183,f141,f184,f177,f185,f144,f186,f149,f187,f148,f188,f147,f189,f152,f190,f151,f191,f150,f192,f153,f193,f194,f154,f195,f196,f156,f197,f198,f155,f199,f200,f160,f201,f202,f159,f203,f204,f158,f205,f206,f157,f207,f208,f209,f164,f210,f211,f163,f212,f213,f162,f214,f215,f161,f216,f217,f218,f166,f219,f220,f165,f221,f222,f168,f223]) ).
fof(f223,plain,
! [X2,X3,X0,X1,X4] :
( 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) ),
inference(global_subsumption,[],[f119,f118,f117,f116,f120,f121,f122,f125,f124,f123,f128,f127,f126,f129,f178,f131,f179,f130,f180,f133,f132,f139,f138,f137,f136,f135,f134,f140,f181,f143,f182,f142,f183,f141,f184,f177,f185,f144,f186,f149,f187,f148,f188,f147,f189,f152,f190,f151,f191,f150,f192,f153,f193,f194,f154,f195,f196,f156,f197,f198,f155,f199,f200,f160,f201,f202,f159,f203,f204,f158,f205,f206,f157,f207,f208,f209,f164,f210,f211,f163,f212,f213,f162,f214,f215,f161,f216,f217,f218,f166,f219,f220,f165,f221,f222,f168]) ).
fof(f168,plain,
! [X2,X3,X0,X1,X4] :
( 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(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( member(X3,X1)
& member(X2,X0) )
| ~ 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(flattening,[],[f51]) ).
fof(f51,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( member(X3,X1)
& member(X2,X0) )
| ~ 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(X3,X1)
& member(X2,X0) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3) ).
fof(f222,plain,
! [X0,X1] :
( ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0)) ),
inference(global_subsumption,[],[f119,f118,f117,f116,f120,f121,f122,f125,f124,f123,f128,f127,f126,f129,f178,f131,f179,f130,f180,f133,f132,f139,f138,f137,f136,f135,f134,f140,f181,f143,f182,f142,f183,f141,f184,f177,f185,f144,f186,f149,f187,f148,f188,f147,f189,f152,f190,f151,f191,f150,f192,f153,f193,f194,f154,f195,f196,f156,f197,f198,f155,f199,f200,f160,f201,f202,f159,f203,f204,f158,f205,f206,f157,f207,f208,f209,f164,f210,f211,f163,f212,f213,f162,f214,f215,f161,f216,f217,f218,f166,f219,f220,f165,f221]) ).
fof(f221,plain,
! [X0,X1] :
( ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0))
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f119,f118,f117,f116,f120,f121,f122,f125,f124,f123,f128,f127,f126,f129,f178,f131,f179,f130,f180,f133,f132,f139,f138,f137,f136,f135,f134,f140,f181,f143,f182,f142,f183,f141,f184,f177,f185,f144,f186,f149,f187,f148,f188,f147,f189,f152,f190,f151,f191,f150,f192,f153,f193,f194,f154,f195,f196,f156,f197,f198,f155,f199,f200,f160,f201,f202,f159,f203,f204,f158,f205,f206,f157,f207,f208,f209,f164,f210,f211,f163,f212,f213,f162,f214,f215,f161,f216,f217,f218,f166,f219,f220,f165]) ).
fof(f165,plain,
! [X0,X1] :
( ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0] :
( ! [X1] :
( ( ( ilf_type(X1,subset_type(X0))
| ~ ilf_type(X1,member_type(power_set(X0))) )
& ( ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0] :
( ! [X1] :
( ( ilf_type(X1,subset_type(X0))
<=> ilf_type(X1,member_type(power_set(X0))) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ilf_type(X1,subset_type(X0))
<=> ilf_type(X1,member_type(power_set(X0))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15) ).
fof(f220,plain,
! [X0,X1] :
( ~ ilf_type(X1,member_type(power_set(X0)))
| ilf_type(X1,subset_type(X0)) ),
inference(global_subsumption,[],[f119,f118,f117,f116,f120,f121,f122,f125,f124,f123,f128,f127,f126,f129,f178,f131,f179,f130,f180,f133,f132,f139,f138,f137,f136,f135,f134,f140,f181,f143,f182,f142,f183,f141,f184,f177,f185,f144,f186,f149,f187,f148,f188,f147,f189,f152,f190,f151,f191,f150,f192,f153,f193,f194,f154,f195,f196,f156,f197,f198,f155,f199,f200,f160,f201,f202,f159,f203,f204,f158,f205,f206,f157,f207,f208,f209,f164,f210,f211,f163,f212,f213,f162,f214,f215,f161,f216,f217,f218,f166,f219]) ).
fof(f219,plain,
! [X0,X1] :
( ilf_type(X1,subset_type(X0))
| ~ ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f119,f118,f117,f116,f120,f121,f122,f125,f124,f123,f128,f127,f126,f129,f178,f131,f179,f130,f180,f133,f132,f139,f138,f137,f136,f135,f134,f140,f181,f143,f182,f142,f183,f141,f184,f177,f185,f144,f186,f149,f187,f148,f188,f147,f189,f152,f190,f151,f191,f150,f192,f153,f193,f194,f154,f195,f196,f156,f197,f198,f155,f199,f200,f160,f201,f202,f159,f203,f204,f158,f205,f206,f157,f207,f208,f209,f164,f210,f211,f163,f212,f213,f162,f214,f215,f161,f216,f217,f218,f166]) ).
fof(f166,plain,
! [X0,X1] :
( ilf_type(X1,subset_type(X0))
| ~ ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f106]) ).
fof(f218,plain,
! [X3,X0,X1] :
( ~ member(X0,power_set(X1))
| ~ member(X3,X0)
| member(X3,X1) ),
inference(global_subsumption,[],[f119,f118,f117,f116,f120,f121,f122,f125,f124,f123,f128,f127,f126,f129,f178,f131,f179,f130,f180,f133,f132,f139,f138,f137,f136,f135,f134,f140,f181,f143,f182,f142,f183,f141,f184,f177,f185,f144,f186,f149,f187,f148,f188,f147,f189,f152,f190,f151,f191,f150,f192,f153,f193,f194,f154,f195,f196,f156,f197,f198,f155,f199,f200,f160,f201,f202,f159,f203,f204,f158,f205,f206,f157,f207,f208,f209,f164,f210,f211,f163,f212,f213,f162,f214,f215,f161,f216,f217]) ).
fof(f217,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type)
| ~ member(X0,power_set(X1)) ),
inference(global_subsumption,[],[f119,f118,f117,f116,f120,f121,f122,f125,f124,f123,f128,f127,f126,f129,f178,f131,f179,f130,f180,f133,f132,f139,f138,f137,f136,f135,f134,f140,f181,f143,f182,f142,f183,f141,f184,f177,f185,f144,f186,f149,f187,f148,f188,f147,f189,f152,f190,f151,f191,f150,f192,f153,f193,f194,f154,f195,f196,f156,f197,f198,f155,f199,f200,f160,f201,f202,f159,f203,f204,f158,f205,f206,f157,f207,f208,f209,f164,f210,f211,f163,f212,f213,f162,f214,f215,f161,f216]) ).
fof(f216,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type)
| ~ member(X0,power_set(X1))
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f119,f118,f117,f116,f120,f121,f122,f125,f124,f123,f128,f127,f126,f129,f178,f131,f179,f130,f180,f133,f132,f139,f138,f137,f136,f135,f134,f140,f181,f143,f182,f142,f183,f141,f184,f177,f185,f144,f186,f149,f187,f148,f188,f147,f189,f152,f190,f151,f191,f150,f192,f153,f193,f194,f154,f195,f196,f156,f197,f198,f155,f199,f200,f160,f201,f202,f159,f203,f204,f158,f205,f206,f157,f207,f208,f209,f164,f210,f211,f163,f212,f213,f162,f214,f215,f161]) ).
fof(f161,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type)
| ~ member(X0,power_set(X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0] :
( ! [X1] :
( ( ( member(X0,power_set(X1))
| ( ~ member(sK14(X0,X1),X1)
& member(sK14(X0,X1),X0)
& ilf_type(sK14(X0,X1),set_type) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type) )
| ~ member(X0,power_set(X1)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f103,f104]) ).
fof(f104,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0)
& ilf_type(X2,set_type) )
=> ( ~ member(sK14(X0,X1),X1)
& member(sK14(X0,X1),X0)
& ilf_type(sK14(X0,X1),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f103,plain,
! [X0] :
( ! [X1] :
( ( ( member(X0,power_set(X1))
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0)
& ilf_type(X2,set_type) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type) )
| ~ member(X0,power_set(X1)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(rectify,[],[f102]) ).
fof(f102,plain,
! [X0] :
( ! [X1] :
( ( ( member(X0,power_set(X1))
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0)
& ilf_type(X2,set_type) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) )
| ~ member(X0,power_set(X1)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] :
( ! [X1] :
( ( member(X0,power_set(X1))
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f48]) ).
fof(f48,plain,
! [X0] :
( ! [X1] :
( ( member(X0,power_set(X1))
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( member(X0,power_set(X1))
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ( member(X2,X0)
=> member(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18) ).
fof(f215,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ilf_type(sK14(X0,X1),set_type) ),
inference(global_subsumption,[],[f119,f118,f117,f116,f120,f121,f122,f125,f124,f123,f128,f127,f126,f129,f178,f131,f179,f130,f180,f133,f132,f139,f138,f137,f136,f135,f134,f140,f181,f143,f182,f142,f183,f141,f184,f177,f185,f144,f186,f149,f187,f148,f188,f147,f189,f152,f190,f151,f191,f150,f192,f153,f193,f194,f154,f195,f196,f156,f197,f198,f155,f199,f200,f160,f201,f202,f159,f203,f204,f158,f205,f206,f157,f207,f208,f209,f164,f210,f211,f163,f212,f213,f162,f214]) ).
fof(f214,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ilf_type(sK14(X0,X1),set_type)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f119,f118,f117,f116,f120,f121,f122,f125,f124,f123,f128,f127,f126,f129,f178,f131,f179,f130,f180,f133,f132,f139,f138,f137,f136,f135,f134,f140,f181,f143,f182,f142,f183,f141,f184,f177,f185,f144,f186,f149,f187,f148,f188,f147,f189,f152,f190,f151,f191,f150,f192,f153,f193,f194,f154,f195,f196,f156,f197,f198,f155,f199,f200,f160,f201,f202,f159,f203,f204,f158,f205,f206,f157,f207,f208,f209,f164,f210,f211,f163,f212,f213,f162]) ).
fof(f162,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ilf_type(sK14(X0,X1),set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f105]) ).
fof(f213,plain,
! [X0,X1] :
( member(sK14(X0,X1),X0)
| member(X0,power_set(X1)) ),
inference(global_subsumption,[],[f119,f118,f117,f116,f120,f121,f122,f125,f124,f123,f128,f127,f126,f129,f178,f131,f179,f130,f180,f133,f132,f139,f138,f137,f136,f135,f134,f140,f181,f143,f182,f142,f183,f141,f184,f177,f185,f144,f186,f149,f187,f148,f188,f147,f189,f152,f190,f151,f191,f150,f192,f153,f193,f194,f154,f195,f196,f156,f197,f198,f155,f199,f200,f160,f201,f202,f159,f203,f204,f158,f205,f206,f157,f207,f208,f209,f164,f210,f211,f163,f212]) ).
fof(f212,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| member(sK14(X0,X1),X0)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f119,f118,f117,f116,f120,f121,f122,f125,f124,f123,f128,f127,f126,f129,f178,f131,f179,f130,f180,f133,f132,f139,f138,f137,f136,f135,f134,f140,f181,f143,f182,f142,f183,f141,f184,f177,f185,f144,f186,f149,f187,f148,f188,f147,f189,f152,f190,f151,f191,f150,f192,f153,f193,f194,f154,f195,f196,f156,f197,f198,f155,f199,f200,f160,f201,f202,f159,f203,f204,f158,f205,f206,f157,f207,f208,f209,f164,f210,f211,f163]) ).
fof(f163,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| member(sK14(X0,X1),X0)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f105]) ).
fof(f211,plain,
! [X0,X1] :
( ~ member(sK14(X0,X1),X1)
| member(X0,power_set(X1)) ),
inference(global_subsumption,[],[f119,f118,f117,f116,f120,f121,f122,f125,f124,f123,f128,f127,f126,f129,f178,f131,f179,f130,f180,f133,f132,f139,f138,f137,f136,f135,f134,f140,f181,f143,f182,f142,f183,f141,f184,f177,f185,f144,f186,f149,f187,f148,f188,f147,f189,f152,f190,f151,f191,f150,f192,f153,f193,f194,f154,f195,f196,f156,f197,f198,f155,f199,f200,f160,f201,f202,f159,f203,f204,f158,f205,f206,f157,f207,f208,f209,f164,f210]) ).
fof(f210,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ~ member(sK14(X0,X1),X1)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f119,f118,f117,f116,f120,f121,f122,f125,f124,f123,f128,f127,f126,f129,f178,f131,f179,f130,f180,f133,f132,f139,f138,f137,f136,f135,f134,f140,f181,f143,f182,f142,f183,f141,f184,f177,f185,f144,f186,f149,f187,f148,f188,f147,f189,f152,f190,f151,f191,f150,f192,f153,f193,f194,f154,f195,f196,f156,f197,f198,f155,f199,f200,f160,f201,f202,f159,f203,f204,f158,f205,f206,f157,f207,f208,f209,f164]) ).
fof(f164,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ~ member(sK14(X0,X1),X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f105]) ).
fof(f209,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ member(X3,X0)
| member(X3,X1) ),
inference(global_subsumption,[],[f119,f118,f117,f116,f120,f121,f122,f125,f124,f123,f128,f127,f126,f129,f178,f131,f179,f130,f180,f133,f132,f139,f138,f137,f136,f135,f134,f140,f181,f143,f182,f142,f183,f141,f184,f177,f185,f144,f186,f149,f187,f148,f188,f147,f189,f152,f190,f151,f191,f150,f192,f153,f193,f194,f154,f195,f196,f156,f197,f198,f155,f199,f200,f160,f201,f202,f159,f203,f204,f158,f205,f206,f157,f207,f208]) ).
fof(f208,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type)
| ~ subset(X0,X1) ),
inference(global_subsumption,[],[f119,f118,f117,f116,f120,f121,f122,f125,f124,f123,f128,f127,f126,f129,f178,f131,f179,f130,f180,f133,f132,f139,f138,f137,f136,f135,f134,f140,f181,f143,f182,f142,f183,f141,f184,f177,f185,f144,f186,f149,f187,f148,f188,f147,f189,f152,f190,f151,f191,f150,f192,f153,f193,f194,f154,f195,f196,f156,f197,f198,f155,f199,f200,f160,f201,f202,f159,f203,f204,f158,f205,f206,f157,f207]) ).
fof(f207,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type)
| ~ subset(X0,X1)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f119,f118,f117,f116,f120,f121,f122,f125,f124,f123,f128,f127,f126,f129,f178,f131,f179,f130,f180,f133,f132,f139,f138,f137,f136,f135,f134,f140,f181,f143,f182,f142,f183,f141,f184,f177,f185,f144,f186,f149,f187,f148,f188,f147,f189,f152,f190,f151,f191,f150,f192,f153,f193,f194,f154,f195,f196,f156,f197,f198,f155,f199,f200,f160,f201,f202,f159,f203,f204,f158,f205,f206,f157]) ).
fof(f157,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type)
| ~ subset(X0,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f101]) ).
fof(f206,plain,
! [X0,X1] :
( subset(X0,X1)
| ilf_type(sK13(X0,X1),set_type) ),
inference(global_subsumption,[],[f119,f118,f117,f116,f120,f121,f122,f125,f124,f123,f128,f127,f126,f129,f178,f131,f179,f130,f180,f133,f132,f139,f138,f137,f136,f135,f134,f140,f181,f143,f182,f142,f183,f141,f184,f177,f185,f144,f186,f149,f187,f148,f188,f147,f189,f152,f190,f151,f191,f150,f192,f153,f193,f194,f154,f195,f196,f156,f197,f198,f155,f199,f200,f160,f201,f202,f159,f203,f204,f158,f205]) ).
fof(f205,plain,
! [X0,X1] :
( subset(X0,X1)
| ilf_type(sK13(X0,X1),set_type)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f119,f118,f117,f116,f120,f121,f122,f125,f124,f123,f128,f127,f126,f129,f178,f131,f179,f130,f180,f133,f132,f139,f138,f137,f136,f135,f134,f140,f181,f143,f182,f142,f183,f141,f184,f177,f185,f144,f186,f149,f187,f148,f188,f147,f189,f152,f190,f151,f191,f150,f192,f153,f193,f194,f154,f195,f196,f156,f197,f198,f155,f199,f200,f160,f201,f202,f159,f203,f204,f158]) ).
fof(f158,plain,
! [X0,X1] :
( subset(X0,X1)
| ilf_type(sK13(X0,X1),set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f101]) ).
fof(f1670,plain,
( ~ spl19_11
| spl19_12
| ~ spl19_5
| ~ spl19_6 ),
inference(avatar_split_clause,[],[f1646,f1522,f1519,f1668,f1664]) ).
fof(f1664,plain,
( spl19_11
<=> empty(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_11])]) ).
fof(f1668,plain,
( spl19_12
<=> ! [X0] : ~ member(X0,range_of(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_12])]) ).
fof(f1519,plain,
( spl19_5
<=> ! [X0] :
( member(X0,sK2)
| ~ member(X0,domain_of(sK4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_5])]) ).
fof(f1646,plain,
( ! [X0] :
( ~ member(X0,range_of(sK4))
| ~ empty(sK2) )
| ~ spl19_5
| ~ spl19_6 ),
inference(resolution,[],[f1561,f252]) ).
fof(f252,plain,
! [X2,X0] :
( ~ member(X2,X0)
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f184,f120]) ).
fof(f1561,plain,
( ! [X0] :
( member(sK12(X0,sK4),sK2)
| ~ member(X0,range_of(sK4)) )
| ~ spl19_5
| ~ spl19_6 ),
inference(subsumption_resolution,[],[f1530,f1523]) ).
fof(f1530,plain,
( ! [X0] :
( member(sK12(X0,sK4),sK2)
| ~ ilf_type(sK4,binary_relation_type)
| ~ member(X0,range_of(sK4)) )
| ~ spl19_5 ),
inference(resolution,[],[f1520,f689]) ).
fof(f689,plain,
! [X0,X1] :
( member(sK12(X0,X1),domain_of(X1))
| ~ ilf_type(X1,binary_relation_type)
| ~ member(X0,range_of(X1)) ),
inference(duplicate_literal_removal,[],[f688]) ).
fof(f688,plain,
! [X0,X1] :
( member(sK12(X0,X1),domain_of(X1))
| ~ ilf_type(X1,binary_relation_type)
| ~ member(X0,range_of(X1))
| ~ ilf_type(X1,binary_relation_type) ),
inference(resolution,[],[f665,f191]) ).
fof(f665,plain,
! [X2,X0,X1] :
( ~ member(ordered_pair(X0,X2),X1)
| member(X0,domain_of(X1))
| ~ ilf_type(X1,binary_relation_type) ),
inference(subsumption_resolution,[],[f187,f120]) ).
fof(f1520,plain,
( ! [X0] :
( ~ member(X0,domain_of(sK4))
| member(X0,sK2) )
| ~ spl19_5 ),
inference(avatar_component_clause,[],[f1519]) ).
fof(f1658,plain,
( spl19_1
| ~ spl19_5 ),
inference(avatar_contradiction_clause,[],[f1657]) ).
fof(f1657,plain,
( $false
| spl19_1
| ~ spl19_5 ),
inference(subsumption_resolution,[],[f1656,f246]) ).
fof(f246,plain,
( ~ subset(domain_of(sK4),sK2)
| spl19_1 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f244,plain,
( spl19_1
<=> subset(domain_of(sK4),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_1])]) ).
fof(f1656,plain,
( subset(domain_of(sK4),sK2)
| ~ spl19_5 ),
inference(duplicate_literal_removal,[],[f1653]) ).
fof(f1653,plain,
( subset(domain_of(sK4),sK2)
| subset(domain_of(sK4),sK2)
| ~ spl19_5 ),
inference(resolution,[],[f1546,f202]) ).
fof(f1546,plain,
( ! [X0] :
( member(sK13(domain_of(sK4),X0),sK2)
| subset(domain_of(sK4),X0) )
| ~ spl19_5 ),
inference(resolution,[],[f1520,f204]) ).
fof(f1641,plain,
( spl19_9
| spl19_10
| ~ spl19_6 ),
inference(avatar_split_clause,[],[f1597,f1522,f1638,f1634]) ).
fof(f1634,plain,
( spl19_9
<=> sP0(range_of(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_9])]) ).
fof(f1638,plain,
( spl19_10
<=> member(sK7(range_of(sK4)),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_10])]) ).
fof(f1597,plain,
( member(sK7(range_of(sK4)),sK3)
| sP0(range_of(sK4))
| ~ spl19_6 ),
inference(resolution,[],[f1593,f138]) ).
fof(f1577,plain,
( spl19_7
| spl19_8
| ~ spl19_5 ),
inference(avatar_split_clause,[],[f1533,f1519,f1574,f1570]) ).
fof(f1570,plain,
( spl19_7
<=> sP0(domain_of(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_7])]) ).
fof(f1574,plain,
( spl19_8
<=> member(sK7(domain_of(sK4)),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_8])]) ).
fof(f1533,plain,
( member(sK7(domain_of(sK4)),sK2)
| sP0(domain_of(sK4))
| ~ spl19_5 ),
inference(resolution,[],[f1520,f138]) ).
fof(f1528,plain,
spl19_6,
inference(avatar_contradiction_clause,[],[f1527]) ).
fof(f1527,plain,
( $false
| spl19_6 ),
inference(subsumption_resolution,[],[f1526,f510]) ).
fof(f510,plain,
relation_like(sK4),
inference(resolution,[],[f498,f118]) ).
fof(f498,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,relation_type(X1,X2))
| relation_like(X0) ),
inference(resolution,[],[f497,f198]) ).
fof(f497,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| relation_like(X2) ),
inference(subsumption_resolution,[],[f496,f120]) ).
fof(f496,plain,
! [X2,X0,X1] :
( relation_like(X2)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X0,set_type) ),
inference(subsumption_resolution,[],[f169,f120]) ).
fof(f169,plain,
! [X2,X0,X1] :
( relation_like(X2)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( relation_like(X2)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1))) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,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(f1526,plain,
( ~ relation_like(sK4)
| spl19_6 ),
inference(resolution,[],[f1524,f185]) ).
fof(f1524,plain,
( ~ ilf_type(sK4,binary_relation_type)
| spl19_6 ),
inference(avatar_component_clause,[],[f1522]) ).
fof(f1525,plain,
( spl19_5
| ~ spl19_6 ),
inference(avatar_split_clause,[],[f1510,f1522,f1519]) ).
fof(f1510,plain,
! [X0] :
( ~ ilf_type(sK4,binary_relation_type)
| member(X0,sK2)
| ~ member(X0,domain_of(sK4)) ),
inference(resolution,[],[f523,f118]) ).
fof(f523,plain,
! [X2,X3,X0,X1] :
( ~ ilf_type(X1,relation_type(X2,X3))
| ~ ilf_type(X1,binary_relation_type)
| member(X0,X2)
| ~ member(X0,domain_of(X1)) ),
inference(resolution,[],[f188,f230]) ).
fof(f230,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(ordered_pair(X2,X3),X4)
| member(X2,X0)
| ~ ilf_type(X4,relation_type(X0,X1)) ),
inference(global_subsumption,[],[f119,f118,f117,f116,f120,f121,f122,f125,f124,f123,f128,f127,f126,f129,f178,f131,f179,f130,f180,f133,f132,f139,f138,f137,f136,f135,f134,f140,f181,f143,f182,f142,f183,f141,f184,f177,f185,f144,f186,f149,f187,f148,f188,f147,f189,f152,f190,f151,f191,f150,f192,f153,f193,f194,f154,f195,f196,f156,f197,f198,f155,f199,f200,f160,f201,f202,f159,f203,f204,f158,f205,f206,f157,f207,f208,f209,f164,f210,f211,f163,f212,f213,f162,f214,f215,f161,f216,f217,f218,f166,f219,f220,f165,f221,f222,f168,f223,f224,f225,f226,f167,f227,f228,f229]) ).
fof(f229,plain,
! [X2,X3,X0,X1,X4] :
( member(X2,X0)
| ~ member(ordered_pair(X2,X3),X4)
| ~ ilf_type(X4,relation_type(X0,X1))
| ~ ilf_type(X3,set_type) ),
inference(global_subsumption,[],[f119,f118,f117,f116,f120,f121,f122,f125,f124,f123,f128,f127,f126,f129,f178,f131,f179,f130,f180,f133,f132,f139,f138,f137,f136,f135,f134,f140,f181,f143,f182,f142,f183,f141,f184,f177,f185,f144,f186,f149,f187,f148,f188,f147,f189,f152,f190,f151,f191,f150,f192,f153,f193,f194,f154,f195,f196,f156,f197,f198,f155,f199,f200,f160,f201,f202,f159,f203,f204,f158,f205,f206,f157,f207,f208,f209,f164,f210,f211,f163,f212,f213,f162,f214,f215,f161,f216,f217,f218,f166,f219,f220,f165,f221,f222,f168,f223,f224,f225,f226,f167,f227,f228]) ).
fof(f228,plain,
! [X2,X3,X0,X1,X4] :
( member(X2,X0)
| ~ member(ordered_pair(X2,X3),X4)
| ~ ilf_type(X4,relation_type(X0,X1))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type) ),
inference(global_subsumption,[],[f119,f118,f117,f116,f120,f121,f122,f125,f124,f123,f128,f127,f126,f129,f178,f131,f179,f130,f180,f133,f132,f139,f138,f137,f136,f135,f134,f140,f181,f143,f182,f142,f183,f141,f184,f177,f185,f144,f186,f149,f187,f148,f188,f147,f189,f152,f190,f151,f191,f150,f192,f153,f193,f194,f154,f195,f196,f156,f197,f198,f155,f199,f200,f160,f201,f202,f159,f203,f204,f158,f205,f206,f157,f207,f208,f209,f164,f210,f211,f163,f212,f213,f162,f214,f215,f161,f216,f217,f218,f166,f219,f220,f165,f221,f222,f168,f223,f224,f225,f226,f167,f227]) ).
fof(f227,plain,
! [X2,X3,X0,X1,X4] :
( member(X2,X0)
| ~ 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) ),
inference(global_subsumption,[],[f119,f118,f117,f116,f120,f121,f122,f125,f124,f123,f128,f127,f126,f129,f178,f131,f179,f130,f180,f133,f132,f139,f138,f137,f136,f135,f134,f140,f181,f143,f182,f142,f183,f141,f184,f177,f185,f144,f186,f149,f187,f148,f188,f147,f189,f152,f190,f151,f191,f150,f192,f153,f193,f194,f154,f195,f196,f156,f197,f198,f155,f199,f200,f160,f201,f202,f159,f203,f204,f158,f205,f206,f157,f207,f208,f209,f164,f210,f211,f163,f212,f213,f162,f214,f215,f161,f216,f217,f218,f166,f219,f220,f165,f221,f222,f168,f223,f224,f225,f226,f167]) ).
fof(f167,plain,
! [X2,X3,X0,X1,X4] :
( member(X2,X0)
| ~ 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(cnf_transformation,[],[f52]) ).
fof(f1005,plain,
( spl19_3
| spl19_4 ),
inference(avatar_split_clause,[],[f647,f1003,f1000]) ).
fof(f1000,plain,
( spl19_3
<=> ! [X1] : ~ sP0(power_set(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_3])]) ).
fof(f1003,plain,
( spl19_4
<=> ! [X0] :
( ordered_pair(sK8(X0),sK9(X0)) = X0
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_4])]) ).
fof(f647,plain,
! [X0,X1] :
( ordered_pair(sK8(X0),sK9(X0)) = X0
| ~ sP0(power_set(X1))
| ~ empty(X0) ),
inference(resolution,[],[f620,f264]) ).
fof(f264,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ~ empty(X0) ),
inference(resolution,[],[f213,f252]) ).
fof(f620,plain,
! [X0,X4] :
( ~ member(X4,X0)
| ordered_pair(sK8(X4),sK9(X4)) = X4
| ~ sP0(X0) ),
inference(subsumption_resolution,[],[f136,f120]) ).
fof(f251,plain,
( ~ spl19_1
| ~ spl19_2 ),
inference(avatar_split_clause,[],[f119,f248,f244]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET650+3 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 17:04:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (30942)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (30950)WARNING: value z3 for option sas not known
% 0.14/0.38 % (30951)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (30948)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (30949)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (30952)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.38 % (30954)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.38 % (30950)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (30953)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.39 TRYING [3]
% 0.21/0.40 TRYING [1]
% 0.21/0.40 TRYING [2]
% 0.21/0.42 TRYING [4]
% 0.21/0.44 % (30950)First to succeed.
% 0.21/0.45 % (30950)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-30942"
% 0.21/0.45 TRYING [3]
% 0.21/0.45 % (30950)Refutation found. Thanks to Tanya!
% 0.21/0.45 % SZS status Theorem for theBenchmark
% 0.21/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.45 % (30950)------------------------------
% 0.21/0.45 % (30950)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.45 % (30950)Termination reason: Refutation
% 0.21/0.45
% 0.21/0.45 % (30950)Memory used [KB]: 1899
% 0.21/0.45 % (30950)Time elapsed: 0.074 s
% 0.21/0.45 % (30950)Instructions burned: 113 (million)
% 0.21/0.45 % (30942)Success in time 0.093 s
%------------------------------------------------------------------------------