TSTP Solution File: SET669+3 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET669+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 : n009.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 09:16:13 EDT 2024
% Result : Theorem 0.22s 0.46s
% Output : Refutation 0.22s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
fof(f1324,plain,
$false,
inference(avatar_sat_refutation,[],[f308,f355,f576,f592,f610,f623,f714,f723,f825,f832,f848,f852,f872,f878,f880,f882,f885,f904,f906,f908,f965,f976,f977,f1012,f1171,f1322]) ).
fof(f1322,plain,
spl19_4,
inference(avatar_contradiction_clause,[],[f1321]) ).
fof(f1321,plain,
( $false
| spl19_4 ),
inference(subsumption_resolution,[],[f1320,f1022]) ).
fof(f1022,plain,
( ~ subset(range_of(sK6),sK5)
| spl19_4 ),
inference(subsumption_resolution,[],[f1021,f435]) ).
fof(f435,plain,
( sK5 != range_of(sK6)
| spl19_4 ),
inference(superposition,[],[f354,f431]) ).
fof(f431,plain,
range(sK4,sK5,sK6) = range_of(sK6),
inference(resolution,[],[f270,f130]) ).
fof(f130,plain,
ilf_type(sK6,relation_type(sK4,sK5)),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
( ( sK5 != range(sK4,sK5,sK6)
| ~ subset(sK5,domain(sK4,sK5,sK6)) )
& subset(identity_relation_of(sK5),sK6)
& ilf_type(sK6,relation_type(sK4,sK5))
& ilf_type(sK5,set_type)
& ilf_type(sK4,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6])],[f37,f85,f84,f83]) ).
fof(f83,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ( range(X0,X1,X2) != X1
| ~ subset(X1,domain(X0,X1,X2)) )
& subset(identity_relation_of(X1),X2)
& ilf_type(X2,relation_type(X0,X1)) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) )
=> ( ? [X1] :
( ? [X2] :
( ( range(sK4,X1,X2) != X1
| ~ subset(X1,domain(sK4,X1,X2)) )
& subset(identity_relation_of(X1),X2)
& ilf_type(X2,relation_type(sK4,X1)) )
& ilf_type(X1,set_type) )
& ilf_type(sK4,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f84,plain,
( ? [X1] :
( ? [X2] :
( ( range(sK4,X1,X2) != X1
| ~ subset(X1,domain(sK4,X1,X2)) )
& subset(identity_relation_of(X1),X2)
& ilf_type(X2,relation_type(sK4,X1)) )
& ilf_type(X1,set_type) )
=> ( ? [X2] :
( ( sK5 != range(sK4,sK5,X2)
| ~ subset(sK5,domain(sK4,sK5,X2)) )
& subset(identity_relation_of(sK5),X2)
& ilf_type(X2,relation_type(sK4,sK5)) )
& ilf_type(sK5,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f85,plain,
( ? [X2] :
( ( sK5 != range(sK4,sK5,X2)
| ~ subset(sK5,domain(sK4,sK5,X2)) )
& subset(identity_relation_of(sK5),X2)
& ilf_type(X2,relation_type(sK4,sK5)) )
=> ( ( sK5 != range(sK4,sK5,sK6)
| ~ subset(sK5,domain(sK4,sK5,sK6)) )
& subset(identity_relation_of(sK5),sK6)
& ilf_type(sK6,relation_type(sK4,sK5)) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( range(X0,X1,X2) != X1
| ~ subset(X1,domain(X0,X1,X2)) )
& subset(identity_relation_of(X1),X2)
& ilf_type(X2,relation_type(X0,X1)) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( range(X0,X1,X2) != X1
| ~ subset(X1,domain(X0,X1,X2)) )
& subset(identity_relation_of(X1),X2)
& ilf_type(X2,relation_type(X0,X1)) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ( subset(identity_relation_of(X1),X2)
=> ( range(X0,X1,X2) = X1
& subset(X1,domain(X0,X1,X2)) ) ) ) ) ),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ( subset(identity_relation_of(X1),X2)
=> ( range(X0,X1,X2) = X1
& subset(X1,domain(X0,X1,X2)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_32) ).
fof(f270,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| range(X0,X1,X2) = range_of(X2) ),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158,f215,f205,f216,f161,f217,f164,f218,f219,f165,f220,f221,f167,f222,f223,f166,f224,f225,f168,f226,f227,f171,f228,f204,f229,f203,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f172,f237,f238,f239,f179,f240,f241,f178,f242,f243,f177,f244,f245,f176,f246,f247,f248,f181,f249,f250,f180,f251,f252,f202,f253,f254,f183,f255,f256,f257,f182,f258,f259,f260,f186,f261,f262,f263,f185,f264,f265,f266,f187,f267,f268,f188,f269]) ).
fof(f269,plain,
! [X2,X0,X1] :
( range(X0,X1,X2) = range_of(X2)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158,f215,f205,f216,f161,f217,f164,f218,f219,f165,f220,f221,f167,f222,f223,f166,f224,f225,f168,f226,f227,f171,f228,f204,f229,f203,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f172,f237,f238,f239,f179,f240,f241,f178,f242,f243,f177,f244,f245,f176,f246,f247,f248,f181,f249,f250,f180,f251,f252,f202,f253,f254,f183,f255,f256,f257,f182,f258,f259,f260,f186,f261,f262,f263,f185,f264,f265,f266,f187,f267,f268,f188]) ).
fof(f188,plain,
! [X2,X0,X1] :
( range(X0,X1,X2) = range_of(X2)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( range(X0,X1,X2) = range_of(X2)
| ~ ilf_type(X2,relation_type(X0,X1)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> range(X0,X1,X2) = range_of(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p30) ).
fof(f268,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| domain(X0,X1,X2) = domain_of(X2) ),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158,f215,f205,f216,f161,f217,f164,f218,f219,f165,f220,f221,f167,f222,f223,f166,f224,f225,f168,f226,f227,f171,f228,f204,f229,f203,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f172,f237,f238,f239,f179,f240,f241,f178,f242,f243,f177,f244,f245,f176,f246,f247,f248,f181,f249,f250,f180,f251,f252,f202,f253,f254,f183,f255,f256,f257,f182,f258,f259,f260,f186,f261,f262,f263,f185,f264,f265,f266,f187,f267]) ).
fof(f267,plain,
! [X2,X0,X1] :
( domain(X0,X1,X2) = domain_of(X2)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158,f215,f205,f216,f161,f217,f164,f218,f219,f165,f220,f221,f167,f222,f223,f166,f224,f225,f168,f226,f227,f171,f228,f204,f229,f203,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f172,f237,f238,f239,f179,f240,f241,f178,f242,f243,f177,f244,f245,f176,f246,f247,f248,f181,f249,f250,f180,f251,f252,f202,f253,f254,f183,f255,f256,f257,f182,f258,f259,f260,f186,f261,f262,f263,f185,f264,f265,f266,f187]) ).
fof(f187,plain,
! [X2,X0,X1] :
( domain(X0,X1,X2) = domain_of(X2)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( domain(X0,X1,X2) = domain_of(X2)
| ~ ilf_type(X2,relation_type(X0,X1)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> domain(X0,X1,X2) = domain_of(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p28) ).
fof(f266,plain,
! [X2,X3,X0,X1] :
( subset(X2,domain(X0,X1,X3))
| ~ subset(identity_relation_of(X2),X3)
| ~ ilf_type(X3,relation_type(X0,X1)) ),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158,f215,f205,f216,f161,f217,f164,f218,f219,f165,f220,f221,f167,f222,f223,f166,f224,f225,f168,f226,f227,f171,f228,f204,f229,f203,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f172,f237,f238,f239,f179,f240,f241,f178,f242,f243,f177,f244,f245,f176,f246,f247,f248,f181,f249,f250,f180,f251,f252,f202,f253,f254,f183,f255,f256,f257,f182,f258,f259,f260,f186,f261,f262,f263,f185,f264,f265]) ).
fof(f265,plain,
! [X2,X3,X0,X1] :
( subset(X2,domain(X0,X1,X3))
| ~ subset(identity_relation_of(X2),X3)
| ~ ilf_type(X3,relation_type(X0,X1))
| ~ ilf_type(X2,set_type) ),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158,f215,f205,f216,f161,f217,f164,f218,f219,f165,f220,f221,f167,f222,f223,f166,f224,f225,f168,f226,f227,f171,f228,f204,f229,f203,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f172,f237,f238,f239,f179,f240,f241,f178,f242,f243,f177,f244,f245,f176,f246,f247,f248,f181,f249,f250,f180,f251,f252,f202,f253,f254,f183,f255,f256,f257,f182,f258,f259,f260,f186,f261,f262,f263,f185,f264]) ).
fof(f264,plain,
! [X2,X3,X0,X1] :
( subset(X2,domain(X0,X1,X3))
| ~ subset(identity_relation_of(X2),X3)
| ~ ilf_type(X3,relation_type(X0,X1))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158,f215,f205,f216,f161,f217,f164,f218,f219,f165,f220,f221,f167,f222,f223,f166,f224,f225,f168,f226,f227,f171,f228,f204,f229,f203,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f172,f237,f238,f239,f179,f240,f241,f178,f242,f243,f177,f244,f245,f176,f246,f247,f248,f181,f249,f250,f180,f251,f252,f202,f253,f254,f183,f255,f256,f257,f182,f258,f259,f260,f186,f261,f262,f263,f185]) ).
fof(f185,plain,
! [X2,X3,X0,X1] :
( subset(X2,domain(X0,X1,X3))
| ~ subset(identity_relation_of(X2),X3)
| ~ ilf_type(X3,relation_type(X0,X1))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( subset(X2,range(X0,X1,X3))
& subset(X2,domain(X0,X1,X3)) )
| ~ subset(identity_relation_of(X2),X3)
| ~ ilf_type(X3,relation_type(X0,X1)) )
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( subset(X2,range(X0,X1,X3))
& subset(X2,domain(X0,X1,X3)) )
| ~ subset(identity_relation_of(X2),X3)
| ~ ilf_type(X3,relation_type(X0,X1)) )
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X0,X1))
=> ( subset(identity_relation_of(X2),X3)
=> ( subset(X2,range(X0,X1,X3))
& subset(X2,domain(X0,X1,X3)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2) ).
fof(f263,plain,
! [X2,X3,X0,X1] :
( subset(X2,range(X0,X1,X3))
| ~ subset(identity_relation_of(X2),X3)
| ~ ilf_type(X3,relation_type(X0,X1)) ),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158,f215,f205,f216,f161,f217,f164,f218,f219,f165,f220,f221,f167,f222,f223,f166,f224,f225,f168,f226,f227,f171,f228,f204,f229,f203,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f172,f237,f238,f239,f179,f240,f241,f178,f242,f243,f177,f244,f245,f176,f246,f247,f248,f181,f249,f250,f180,f251,f252,f202,f253,f254,f183,f255,f256,f257,f182,f258,f259,f260,f186,f261,f262]) ).
fof(f262,plain,
! [X2,X3,X0,X1] :
( subset(X2,range(X0,X1,X3))
| ~ subset(identity_relation_of(X2),X3)
| ~ ilf_type(X3,relation_type(X0,X1))
| ~ ilf_type(X2,set_type) ),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158,f215,f205,f216,f161,f217,f164,f218,f219,f165,f220,f221,f167,f222,f223,f166,f224,f225,f168,f226,f227,f171,f228,f204,f229,f203,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f172,f237,f238,f239,f179,f240,f241,f178,f242,f243,f177,f244,f245,f176,f246,f247,f248,f181,f249,f250,f180,f251,f252,f202,f253,f254,f183,f255,f256,f257,f182,f258,f259,f260,f186,f261]) ).
fof(f261,plain,
! [X2,X3,X0,X1] :
( subset(X2,range(X0,X1,X3))
| ~ subset(identity_relation_of(X2),X3)
| ~ ilf_type(X3,relation_type(X0,X1))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158,f215,f205,f216,f161,f217,f164,f218,f219,f165,f220,f221,f167,f222,f223,f166,f224,f225,f168,f226,f227,f171,f228,f204,f229,f203,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f172,f237,f238,f239,f179,f240,f241,f178,f242,f243,f177,f244,f245,f176,f246,f247,f248,f181,f249,f250,f180,f251,f252,f202,f253,f254,f183,f255,f256,f257,f182,f258,f259,f260,f186]) ).
fof(f186,plain,
! [X2,X3,X0,X1] :
( subset(X2,range(X0,X1,X3))
| ~ subset(identity_relation_of(X2),X3)
| ~ ilf_type(X3,relation_type(X0,X1))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f63]) ).
fof(f260,plain,
! [X2,X0,X1] :
( ~ member(ordered_pair(X1,X2),identity_relation_of(X0))
| member(X1,X0) ),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158,f215,f205,f216,f161,f217,f164,f218,f219,f165,f220,f221,f167,f222,f223,f166,f224,f225,f168,f226,f227,f171,f228,f204,f229,f203,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f172,f237,f238,f239,f179,f240,f241,f178,f242,f243,f177,f244,f245,f176,f246,f247,f248,f181,f249,f250,f180,f251,f252,f202,f253,f254,f183,f255,f256,f257,f182,f258,f259]) ).
fof(f259,plain,
! [X2,X0,X1] :
( member(X1,X0)
| ~ member(ordered_pair(X1,X2),identity_relation_of(X0))
| ~ ilf_type(X2,set_type) ),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158,f215,f205,f216,f161,f217,f164,f218,f219,f165,f220,f221,f167,f222,f223,f166,f224,f225,f168,f226,f227,f171,f228,f204,f229,f203,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f172,f237,f238,f239,f179,f240,f241,f178,f242,f243,f177,f244,f245,f176,f246,f247,f248,f181,f249,f250,f180,f251,f252,f202,f253,f254,f183,f255,f256,f257,f182,f258]) ).
fof(f258,plain,
! [X2,X0,X1] :
( member(X1,X0)
| ~ member(ordered_pair(X1,X2),identity_relation_of(X0))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158,f215,f205,f216,f161,f217,f164,f218,f219,f165,f220,f221,f167,f222,f223,f166,f224,f225,f168,f226,f227,f171,f228,f204,f229,f203,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f172,f237,f238,f239,f179,f240,f241,f178,f242,f243,f177,f244,f245,f176,f246,f247,f248,f181,f249,f250,f180,f251,f252,f202,f253,f254,f183,f255,f256,f257,f182]) ).
fof(f182,plain,
! [X2,X0,X1] :
( member(X1,X0)
| ~ member(ordered_pair(X1,X2),identity_relation_of(X0))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( member(ordered_pair(X1,X2),identity_relation_of(X0))
| X1 != X2
| ~ member(X1,X0) )
& ( ( X1 = X2
& member(X1,X0) )
| ~ member(ordered_pair(X1,X2),identity_relation_of(X0)) ) )
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f117]) ).
fof(f117,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( member(ordered_pair(X1,X2),identity_relation_of(X0))
| X1 != X2
| ~ member(X1,X0) )
& ( ( X1 = X2
& member(X1,X0) )
| ~ member(ordered_pair(X1,X2),identity_relation_of(X0)) ) )
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( member(ordered_pair(X1,X2),identity_relation_of(X0))
<=> ( X1 = X2
& member(X1,X0) ) )
| ~ 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)
=> ( member(ordered_pair(X1,X2),identity_relation_of(X0))
<=> ( X1 = X2
& member(X1,X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3) ).
fof(f257,plain,
! [X2,X0,X1] :
( ~ member(ordered_pair(X1,X2),identity_relation_of(X0))
| X1 = X2 ),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158,f215,f205,f216,f161,f217,f164,f218,f219,f165,f220,f221,f167,f222,f223,f166,f224,f225,f168,f226,f227,f171,f228,f204,f229,f203,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f172,f237,f238,f239,f179,f240,f241,f178,f242,f243,f177,f244,f245,f176,f246,f247,f248,f181,f249,f250,f180,f251,f252,f202,f253,f254,f183,f255,f256]) ).
fof(f256,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ member(ordered_pair(X1,X2),identity_relation_of(X0))
| ~ ilf_type(X2,set_type) ),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158,f215,f205,f216,f161,f217,f164,f218,f219,f165,f220,f221,f167,f222,f223,f166,f224,f225,f168,f226,f227,f171,f228,f204,f229,f203,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f172,f237,f238,f239,f179,f240,f241,f178,f242,f243,f177,f244,f245,f176,f246,f247,f248,f181,f249,f250,f180,f251,f252,f202,f253,f254,f183,f255]) ).
fof(f255,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ member(ordered_pair(X1,X2),identity_relation_of(X0))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158,f215,f205,f216,f161,f217,f164,f218,f219,f165,f220,f221,f167,f222,f223,f166,f224,f225,f168,f226,f227,f171,f228,f204,f229,f203,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f172,f237,f238,f239,f179,f240,f241,f178,f242,f243,f177,f244,f245,f176,f246,f247,f248,f181,f249,f250,f180,f251,f252,f202,f253,f254,f183]) ).
fof(f183,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ member(ordered_pair(X1,X2),identity_relation_of(X0))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f118]) ).
fof(f254,plain,
! [X2,X0] :
( member(ordered_pair(X2,X2),identity_relation_of(X0))
| ~ member(X2,X0) ),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158,f215,f205,f216,f161,f217,f164,f218,f219,f165,f220,f221,f167,f222,f223,f166,f224,f225,f168,f226,f227,f171,f228,f204,f229,f203,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f172,f237,f238,f239,f179,f240,f241,f178,f242,f243,f177,f244,f245,f176,f246,f247,f248,f181,f249,f250,f180,f251,f252,f202,f253]) ).
fof(f253,plain,
! [X2,X0] :
( member(ordered_pair(X2,X2),identity_relation_of(X0))
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) ),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158,f215,f205,f216,f161,f217,f164,f218,f219,f165,f220,f221,f167,f222,f223,f166,f224,f225,f168,f226,f227,f171,f228,f204,f229,f203,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f172,f237,f238,f239,f179,f240,f241,f178,f242,f243,f177,f244,f245,f176,f246,f247,f248,f181,f249,f250,f180,f251,f252,f202]) ).
fof(f202,plain,
! [X2,X0] :
( member(ordered_pair(X2,X2),identity_relation_of(X0))
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X0,set_type) ),
inference(duplicate_literal_removal,[],[f201]) ).
fof(f201,plain,
! [X2,X0] :
( member(ordered_pair(X2,X2),identity_relation_of(X0))
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X0,set_type) ),
inference(equality_resolution,[],[f184]) ).
fof(f184,plain,
! [X2,X0,X1] :
( member(ordered_pair(X1,X2),identity_relation_of(X0))
| X1 != X2
| ~ member(X1,X0)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f118]) ).
fof(f252,plain,
! [X0,X1] :
( ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0)) ),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158,f215,f205,f216,f161,f217,f164,f218,f219,f165,f220,f221,f167,f222,f223,f166,f224,f225,f168,f226,f227,f171,f228,f204,f229,f203,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f172,f237,f238,f239,f179,f240,f241,f178,f242,f243,f177,f244,f245,f176,f246,f247,f248,f181,f249,f250,f180,f251]) ).
fof(f251,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,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158,f215,f205,f216,f161,f217,f164,f218,f219,f165,f220,f221,f167,f222,f223,f166,f224,f225,f168,f226,f227,f171,f228,f204,f229,f203,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f172,f237,f238,f239,f179,f240,f241,f178,f242,f243,f177,f244,f245,f176,f246,f247,f248,f181,f249,f250,f180]) ).
fof(f180,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,[],[f116]) ).
fof(f116,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,[],[f60]) ).
fof(f60,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,[],[f16]) ).
fof(f16,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/sandbox/benchmark/theBenchmark.p',p16) ).
fof(f250,plain,
! [X0,X1] :
( ~ ilf_type(X1,member_type(power_set(X0)))
| ilf_type(X1,subset_type(X0)) ),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158,f215,f205,f216,f161,f217,f164,f218,f219,f165,f220,f221,f167,f222,f223,f166,f224,f225,f168,f226,f227,f171,f228,f204,f229,f203,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f172,f237,f238,f239,f179,f240,f241,f178,f242,f243,f177,f244,f245,f176,f246,f247,f248,f181,f249]) ).
fof(f249,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,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158,f215,f205,f216,f161,f217,f164,f218,f219,f165,f220,f221,f167,f222,f223,f166,f224,f225,f168,f226,f227,f171,f228,f204,f229,f203,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f172,f237,f238,f239,f179,f240,f241,f178,f242,f243,f177,f244,f245,f176,f246,f247,f248,f181]) ).
fof(f181,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,[],[f116]) ).
fof(f248,plain,
! [X3,X0,X1] :
( ~ member(X0,power_set(X1))
| ~ member(X3,X0)
| member(X3,X1) ),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158,f215,f205,f216,f161,f217,f164,f218,f219,f165,f220,f221,f167,f222,f223,f166,f224,f225,f168,f226,f227,f171,f228,f204,f229,f203,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f172,f237,f238,f239,f179,f240,f241,f178,f242,f243,f177,f244,f245,f176,f246,f247]) ).
fof(f247,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type)
| ~ member(X0,power_set(X1)) ),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158,f215,f205,f216,f161,f217,f164,f218,f219,f165,f220,f221,f167,f222,f223,f166,f224,f225,f168,f226,f227,f171,f228,f204,f229,f203,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f172,f237,f238,f239,f179,f240,f241,f178,f242,f243,f177,f244,f245,f176,f246]) ).
fof(f246,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,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158,f215,f205,f216,f161,f217,f164,f218,f219,f165,f220,f221,f167,f222,f223,f166,f224,f225,f168,f226,f227,f171,f228,f204,f229,f203,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f172,f237,f238,f239,f179,f240,f241,f178,f242,f243,f177,f244,f245,f176]) ).
fof(f176,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,[],[f115]) ).
fof(f115,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])],[f113,f114]) ).
fof(f114,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(f113,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,[],[f112]) ).
fof(f112,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,[],[f59]) ).
fof(f59,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,[],[f58]) ).
fof(f58,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,[],[f20]) ).
fof(f20,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/sandbox/benchmark/theBenchmark.p',p20) ).
fof(f245,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ilf_type(sK14(X0,X1),set_type) ),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158,f215,f205,f216,f161,f217,f164,f218,f219,f165,f220,f221,f167,f222,f223,f166,f224,f225,f168,f226,f227,f171,f228,f204,f229,f203,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f172,f237,f238,f239,f179,f240,f241,f178,f242,f243,f177,f244]) ).
fof(f244,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ilf_type(sK14(X0,X1),set_type)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158,f215,f205,f216,f161,f217,f164,f218,f219,f165,f220,f221,f167,f222,f223,f166,f224,f225,f168,f226,f227,f171,f228,f204,f229,f203,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f172,f237,f238,f239,f179,f240,f241,f178,f242,f243,f177]) ).
fof(f177,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,[],[f115]) ).
fof(f243,plain,
! [X0,X1] :
( member(sK14(X0,X1),X0)
| member(X0,power_set(X1)) ),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158,f215,f205,f216,f161,f217,f164,f218,f219,f165,f220,f221,f167,f222,f223,f166,f224,f225,f168,f226,f227,f171,f228,f204,f229,f203,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f172,f237,f238,f239,f179,f240,f241,f178,f242]) ).
fof(f242,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| member(sK14(X0,X1),X0)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158,f215,f205,f216,f161,f217,f164,f218,f219,f165,f220,f221,f167,f222,f223,f166,f224,f225,f168,f226,f227,f171,f228,f204,f229,f203,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f172,f237,f238,f239,f179,f240,f241,f178]) ).
fof(f178,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,[],[f115]) ).
fof(f241,plain,
! [X0,X1] :
( ~ member(sK14(X0,X1),X1)
| member(X0,power_set(X1)) ),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158,f215,f205,f216,f161,f217,f164,f218,f219,f165,f220,f221,f167,f222,f223,f166,f224,f225,f168,f226,f227,f171,f228,f204,f229,f203,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f172,f237,f238,f239,f179,f240]) ).
fof(f240,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ~ member(sK14(X0,X1),X1)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158,f215,f205,f216,f161,f217,f164,f218,f219,f165,f220,f221,f167,f222,f223,f166,f224,f225,f168,f226,f227,f171,f228,f204,f229,f203,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f172,f237,f238,f239,f179]) ).
fof(f179,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,[],[f115]) ).
fof(f239,plain,
! [X3,X0,X1] :
( ~ member(X3,X0)
| member(X3,X1)
| ~ subset(X0,X1) ),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158,f215,f205,f216,f161,f217,f164,f218,f219,f165,f220,f221,f167,f222,f223,f166,f224,f225,f168,f226,f227,f171,f228,f204,f229,f203,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f172,f237,f238]) ).
fof(f238,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type)
| ~ subset(X0,X1) ),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158,f215,f205,f216,f161,f217,f164,f218,f219,f165,f220,f221,f167,f222,f223,f166,f224,f225,f168,f226,f227,f171,f228,f204,f229,f203,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f172,f237]) ).
fof(f237,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,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158,f215,f205,f216,f161,f217,f164,f218,f219,f165,f220,f221,f167,f222,f223,f166,f224,f225,f168,f226,f227,f171,f228,f204,f229,f203,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f172]) ).
fof(f172,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,[],[f111]) ).
fof(f111,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])],[f109,f110]) ).
fof(f110,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(f109,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,[],[f108]) ).
fof(f108,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,[],[f57]) ).
fof(f57,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,[],[f56]) ).
fof(f56,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,[],[f7]) ).
fof(f7,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/sandbox/benchmark/theBenchmark.p',p7) ).
fof(f236,plain,
! [X0,X1] :
( subset(X0,X1)
| ilf_type(sK13(X0,X1),set_type) ),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158,f215,f205,f216,f161,f217,f164,f218,f219,f165,f220,f221,f167,f222,f223,f166,f224,f225,f168,f226,f227,f171,f228,f204,f229,f203,f230,f175,f231,f232,f174,f233,f234,f173,f235]) ).
fof(f235,plain,
! [X0,X1] :
( subset(X0,X1)
| ilf_type(sK13(X0,X1),set_type)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158,f215,f205,f216,f161,f217,f164,f218,f219,f165,f220,f221,f167,f222,f223,f166,f224,f225,f168,f226,f227,f171,f228,f204,f229,f203,f230,f175,f231,f232,f174,f233,f234,f173]) ).
fof(f173,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,[],[f111]) ).
fof(f234,plain,
! [X0,X1] :
( member(sK13(X0,X1),X0)
| subset(X0,X1) ),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158,f215,f205,f216,f161,f217,f164,f218,f219,f165,f220,f221,f167,f222,f223,f166,f224,f225,f168,f226,f227,f171,f228,f204,f229,f203,f230,f175,f231,f232,f174,f233]) ).
fof(f233,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK13(X0,X1),X0)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158,f215,f205,f216,f161,f217,f164,f218,f219,f165,f220,f221,f167,f222,f223,f166,f224,f225,f168,f226,f227,f171,f228,f204,f229,f203,f230,f175,f231,f232,f174]) ).
fof(f174,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK13(X0,X1),X0)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f111]) ).
fof(f232,plain,
! [X0,X1] :
( ~ member(sK13(X0,X1),X1)
| subset(X0,X1) ),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158,f215,f205,f216,f161,f217,f164,f218,f219,f165,f220,f221,f167,f222,f223,f166,f224,f225,f168,f226,f227,f171,f228,f204,f229,f203,f230,f175,f231]) ).
fof(f231,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sK13(X0,X1),X1)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158,f215,f205,f216,f161,f217,f164,f218,f219,f165,f220,f221,f167,f222,f223,f166,f224,f225,f168,f226,f227,f171,f228,f204,f229,f203,f230,f175]) ).
fof(f175,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sK13(X0,X1),X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f111]) ).
fof(f230,plain,
! [X1] : subset(X1,X1),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158,f215,f205,f216,f161,f217,f164,f218,f219,f165,f220,f221,f167,f222,f223,f166,f224,f225,f168,f226,f227,f171,f228,f204,f229,f203]) ).
fof(f203,plain,
! [X1] :
( subset(X1,X1)
| ~ ilf_type(X1,set_type) ),
inference(duplicate_literal_removal,[],[f200]) ).
fof(f200,plain,
! [X1] :
( subset(X1,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X1,set_type) ),
inference(equality_resolution,[],[f169]) ).
fof(f169,plain,
! [X0,X1] :
( subset(X0,X1)
| X0 != X1
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0] :
( ! [X1] :
( ( ( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) )
& ( ( subset(X1,X0)
& subset(X0,X1) )
| X0 != X1 ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f106]) ).
fof(f106,plain,
! [X0] :
( ! [X1] :
( ( ( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) )
& ( ( subset(X1,X0)
& subset(X0,X1) )
| X0 != X1 ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0] :
( ! [X1] :
( ( X0 = X1
<=> ( subset(X1,X0)
& subset(X0,X1) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( X0 = X1
<=> ( subset(X1,X0)
& subset(X0,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9) ).
fof(f229,plain,
! [X1] : subset(X1,X1),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158,f215,f205,f216,f161,f217,f164,f218,f219,f165,f220,f221,f167,f222,f223,f166,f224,f225,f168,f226,f227,f171,f228,f204]) ).
fof(f204,plain,
! [X1] :
( subset(X1,X1)
| ~ ilf_type(X1,set_type) ),
inference(duplicate_literal_removal,[],[f199]) ).
fof(f199,plain,
! [X1] :
( subset(X1,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X1,set_type) ),
inference(equality_resolution,[],[f170]) ).
fof(f170,plain,
! [X0,X1] :
( subset(X1,X0)
| X0 != X1
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f107]) ).
fof(f228,plain,
! [X0,X1] :
( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158,f215,f205,f216,f161,f217,f164,f218,f219,f165,f220,f221,f167,f222,f223,f166,f224,f225,f168,f226,f227,f171]) ).
fof(f171,plain,
! [X0,X1] :
( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f107]) ).
fof(f227,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| X0 = X1
| ~ subset(X0,X1) ),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158,f215,f205,f216,f161,f217,f164,f218,f219,f165,f220,f221,f167,f222,f223,f166,f224,f225,f168,f226]) ).
fof(f226,plain,
! [X0,X1] :
( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158,f215,f205,f216,f161,f217,f164,f218,f219,f165,f220,f221,f167,f222,f223,f166,f224,f225,f168]) ).
fof(f168,plain,
! [X0,X1] :
( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1)
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f53]) ).
fof(f53,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1)
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ( subset(X1,X0)
& subset(X0,X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
fof(f225,plain,
! [X3,X0,X1] :
( ~ ilf_type(X3,subset_type(cross_product(X0,X1)))
| ilf_type(X3,relation_type(X0,X1)) ),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158,f215,f205,f216,f161,f217,f164,f218,f219,f165,f220,f221,f167,f222,f223,f166,f224]) ).
fof(f224,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,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158,f215,f205,f216,f161,f217,f164,f218,f219,f165,f220,f221,f167,f222,f223,f166]) ).
fof(f166,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,[],[f52]) ).
fof(f52,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,[],[f35]) ).
fof(f35,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,[],[f5]) ).
fof(f5,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/sandbox/benchmark/theBenchmark.p',p5) ).
fof(f223,plain,
! [X2,X0,X1] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158,f215,f205,f216,f161,f217,f164,f218,f219,f165,f220,f221,f167,f222]) ).
fof(f222,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,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158,f215,f205,f216,f161,f217,f164,f218,f219,f165,f220,f221,f167]) ).
fof(f167,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,[],[f52]) ).
fof(f221,plain,
! [X0,X1] : ilf_type(ordered_pair(X0,X1),set_type),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158,f215,f205,f216,f161,f217,f164,f218,f219,f165,f220]) ).
fof(f220,plain,
! [X0,X1] :
( ilf_type(ordered_pair(X0,X1),set_type)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158,f215,f205,f216,f161,f217,f164,f218,f219,f165]) ).
fof(f165,plain,
! [X0,X1] :
( ilf_type(ordered_pair(X0,X1),set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0] :
( ! [X1] :
( ilf_type(ordered_pair(X0,X1),set_type)
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ilf_type(ordered_pair(X0,X1),set_type) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p13) ).
fof(f219,plain,
! [X0,X1] : ilf_type(cross_product(X0,X1),set_type),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158,f215,f205,f216,f161,f217,f164,f218]) ).
fof(f218,plain,
! [X0,X1] :
( ilf_type(cross_product(X0,X1),set_type)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158,f215,f205,f216,f161,f217,f164]) ).
fof(f164,plain,
! [X0,X1] :
( ilf_type(cross_product(X0,X1),set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,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/sandbox/benchmark/theBenchmark.p',p11) ).
fof(f217,plain,
! [X0] :
( ~ ilf_type(X0,binary_relation_type)
| relation_like(X0) ),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158,f215,f205,f216,f161]) ).
fof(f161,plain,
! [X0] :
( relation_like(X0)
| ~ ilf_type(X0,binary_relation_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,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,[],[f104]) ).
fof(f104,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,[],[f49]) ).
fof(f49,plain,
! [X0] :
( ( ilf_type(X0,binary_relation_type)
<=> ( ilf_type(X0,set_type)
& relation_like(X0) ) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( ilf_type(X0,binary_relation_type)
<=> ( ilf_type(X0,set_type)
& relation_like(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p14) ).
fof(f216,plain,
! [X0] :
( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0) ),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158,f215,f205]) ).
fof(f205,plain,
! [X0] :
( ilf_type(X0,binary_relation_type)
| ~ ilf_type(X0,set_type)
| ~ relation_like(X0) ),
inference(duplicate_literal_removal,[],[f163]) ).
fof(f163,plain,
! [X0] :
( ilf_type(X0,binary_relation_type)
| ~ ilf_type(X0,set_type)
| ~ relation_like(X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f105]) ).
fof(f215,plain,
! [X2,X0] :
( ~ member(X2,X0)
| ~ ilf_type(X2,set_type)
| ~ empty(X0) ),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158]) ).
fof(f158,plain,
! [X2,X0] :
( ~ member(X2,X0)
| ~ ilf_type(X2,set_type)
| ~ empty(X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0] :
( ( ( empty(X0)
| ( member(sK12(X0),X0)
& ilf_type(sK12(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,[sK12])],[f101,f102]) ).
fof(f102,plain,
! [X0] :
( ? [X1] :
( member(X1,X0)
& ilf_type(X1,set_type) )
=> ( member(sK12(X0),X0)
& ilf_type(sK12(X0),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f101,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,[],[f100]) ).
fof(f100,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,[],[f48]) ).
fof(f48,plain,
! [X0] :
( ( empty(X0)
<=> ! [X1] :
( ~ member(X1,X0)
| ~ ilf_type(X1,set_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( empty(X0)
<=> ! [X1] :
( ilf_type(X1,set_type)
=> ~ member(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p26) ).
fof(f214,plain,
! [X0] :
( empty(X0)
| ilf_type(sK12(X0),set_type) ),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159]) ).
fof(f159,plain,
! [X0] :
( empty(X0)
| ilf_type(sK12(X0),set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f103]) ).
fof(f213,plain,
! [X0] :
( member(sK12(X0),X0)
| empty(X0) ),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160]) ).
fof(f160,plain,
! [X0] :
( empty(X0)
| member(sK12(X0),X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f103]) ).
fof(f212,plain,
! [X0] : sP3(X0),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157]) ).
fof(f157,plain,
! [X0] :
( sP3(X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0] :
( sP3(X0)
| ~ ilf_type(X0,set_type) ),
inference(definition_folding,[],[f47,f81,f80]) ).
fof(f80,plain,
! [X0] :
( sP2(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,[sP2])]) ).
fof(f81,plain,
! [X0] :
( ( relation_like(X0)
<=> sP2(X0) )
| ~ sP3(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f47,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,[],[f46]) ).
fof(f46,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,[],[f24]) ).
fof(f24,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/sandbox/benchmark/theBenchmark.p',p24) ).
fof(f151,plain,
! [X0,X4] :
( ilf_type(sK10(X4),set_type)
| ~ member(X4,X0)
| ~ ilf_type(X4,set_type)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0] :
( ( sP2(X0)
| ( ! [X2] :
( ! [X3] :
( ordered_pair(X2,X3) != sK9(X0)
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) )
& member(sK9(X0),X0)
& ilf_type(sK9(X0),set_type) ) )
& ( ! [X4] :
( ( ordered_pair(sK10(X4),sK11(X4)) = X4
& ilf_type(sK11(X4),set_type)
& ilf_type(sK10(X4),set_type) )
| ~ member(X4,X0)
| ~ ilf_type(X4,set_type) )
| ~ sP2(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11])],[f95,f98,f97,f96]) ).
fof(f96,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) != sK9(X0)
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) )
& member(sK9(X0),X0)
& ilf_type(sK9(X0),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f97,plain,
! [X4] :
( ? [X5] :
( ? [X6] :
( ordered_pair(X5,X6) = X4
& ilf_type(X6,set_type) )
& ilf_type(X5,set_type) )
=> ( ? [X6] :
( ordered_pair(sK10(X4),X6) = X4
& ilf_type(X6,set_type) )
& ilf_type(sK10(X4),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f98,plain,
! [X4] :
( ? [X6] :
( ordered_pair(sK10(X4),X6) = X4
& ilf_type(X6,set_type) )
=> ( ordered_pair(sK10(X4),sK11(X4)) = X4
& ilf_type(sK11(X4),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f95,plain,
! [X0] :
( ( sP2(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) )
| ~ sP2(X0) ) ),
inference(rectify,[],[f94]) ).
fof(f94,plain,
! [X0] :
( ( sP2(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) )
| ~ sP2(X0) ) ),
inference(nnf_transformation,[],[f80]) ).
fof(f152,plain,
! [X0,X4] :
( ilf_type(sK11(X4),set_type)
| ~ member(X4,X0)
| ~ ilf_type(X4,set_type)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f153,plain,
! [X0,X4] :
( ordered_pair(sK10(X4),sK11(X4)) = X4
| ~ member(X4,X0)
| ~ ilf_type(X4,set_type)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f154,plain,
! [X0] :
( sP2(X0)
| ilf_type(sK9(X0),set_type) ),
inference(cnf_transformation,[],[f99]) ).
fof(f155,plain,
! [X0] :
( member(sK9(X0),X0)
| sP2(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f156,plain,
! [X2,X3,X0] :
( sP2(X0)
| ordered_pair(X2,X3) != sK9(X0)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type) ),
inference(cnf_transformation,[],[f99]) ).
fof(f149,plain,
! [X0] :
( sP2(X0)
| ~ relation_like(X0)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0] :
( ( ( relation_like(X0)
| ~ sP2(X0) )
& ( sP2(X0)
| ~ relation_like(X0) ) )
| ~ sP3(X0) ),
inference(nnf_transformation,[],[f81]) ).
fof(f150,plain,
! [X0] :
( relation_like(X0)
| ~ sP2(X0)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f211,plain,
! [X0] : ~ empty(power_set(X0)),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147]) ).
fof(f147,plain,
! [X0] :
( ~ empty(power_set(X0))
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0] :
( ( ilf_type(power_set(X0),set_type)
& ~ empty(power_set(X0)) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( ilf_type(power_set(X0),set_type)
& ~ empty(power_set(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21) ).
fof(f210,plain,
! [X0] : ilf_type(power_set(X0),set_type),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148]) ).
fof(f148,plain,
! [X0] :
( ilf_type(power_set(X0),set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f45]) ).
fof(f209,plain,
! [X0] : ilf_type(identity_relation_of(X0),binary_relation_type),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146]) ).
fof(f146,plain,
! [X0] :
( ilf_type(identity_relation_of(X0),binary_relation_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0] :
( ilf_type(identity_relation_of(X0),binary_relation_type)
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ilf_type(identity_relation_of(X0),binary_relation_type) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4) ).
fof(f208,plain,
! [X0] : subset(X0,X0),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145]) ).
fof(f145,plain,
! [X0] :
( subset(X0,X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0] :
( subset(X0,X0)
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> subset(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18) ).
fof(f144,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X0,binary_relation_type) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ! [X1] :
( sP1(X0,X1)
| ~ ilf_type(X1,binary_relation_type) )
| ~ ilf_type(X0,binary_relation_type) ),
inference(definition_folding,[],[f42,f78,f77]) ).
fof(f77,plain,
! [X1,X0] :
( sP0(X1,X0)
<=> ! [X2] :
( ! [X3] :
( member(ordered_pair(X2,X3),X1)
| ~ member(ordered_pair(X2,X3),X0)
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f78,plain,
! [X0,X1] :
( ( subset(X0,X1)
<=> sP0(X1,X0) )
| ~ sP1(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f42,plain,
! [X0] :
( ! [X1] :
( ( subset(X0,X1)
<=> ! [X2] :
( ! [X3] :
( member(ordered_pair(X2,X3),X1)
| ~ member(ordered_pair(X2,X3),X0)
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) ) )
| ~ ilf_type(X1,binary_relation_type) )
| ~ ilf_type(X0,binary_relation_type) ),
inference(flattening,[],[f41]) ).
fof(f41,plain,
! [X0] :
( ! [X1] :
( ( subset(X0,X1)
<=> ! [X2] :
( ! [X3] :
( member(ordered_pair(X2,X3),X1)
| ~ member(ordered_pair(X2,X3),X0)
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) ) )
| ~ ilf_type(X1,binary_relation_type) )
| ~ ilf_type(X0,binary_relation_type) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( ilf_type(X0,binary_relation_type)
=> ! [X1] :
( ilf_type(X1,binary_relation_type)
=> ( subset(X0,X1)
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ( member(ordered_pair(X2,X3),X0)
=> member(ordered_pair(X2,X3),X1) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8) ).
fof(f207,plain,
! [X0,X1,X4,X5] :
( ~ member(ordered_pair(X4,X5),X1)
| member(ordered_pair(X4,X5),X0)
| ~ sP0(X0,X1) ),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206]) ).
fof(f206,plain,
! [X0,X1,X4,X5] :
( member(ordered_pair(X4,X5),X0)
| ~ member(ordered_pair(X4,X5),X1)
| ~ ilf_type(X5,set_type)
| ~ sP0(X0,X1) ),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139]) ).
fof(f139,plain,
! [X0,X1,X4,X5] :
( member(ordered_pair(X4,X5),X0)
| ~ member(ordered_pair(X4,X5),X1)
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ( ~ member(ordered_pair(sK7(X0,X1),sK8(X0,X1)),X0)
& member(ordered_pair(sK7(X0,X1),sK8(X0,X1)),X1)
& ilf_type(sK8(X0,X1),set_type)
& ilf_type(sK7(X0,X1),set_type) ) )
& ( ! [X4] :
( ! [X5] :
( member(ordered_pair(X4,X5),X0)
| ~ member(ordered_pair(X4,X5),X1)
| ~ ilf_type(X5,set_type) )
| ~ ilf_type(X4,set_type) )
| ~ sP0(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8])],[f89,f91,f90]) ).
fof(f90,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( ~ member(ordered_pair(X2,X3),X0)
& member(ordered_pair(X2,X3),X1)
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) )
=> ( ? [X3] :
( ~ member(ordered_pair(sK7(X0,X1),X3),X0)
& member(ordered_pair(sK7(X0,X1),X3),X1)
& ilf_type(X3,set_type) )
& ilf_type(sK7(X0,X1),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f91,plain,
! [X0,X1] :
( ? [X3] :
( ~ member(ordered_pair(sK7(X0,X1),X3),X0)
& member(ordered_pair(sK7(X0,X1),X3),X1)
& ilf_type(X3,set_type) )
=> ( ~ member(ordered_pair(sK7(X0,X1),sK8(X0,X1)),X0)
& member(ordered_pair(sK7(X0,X1),sK8(X0,X1)),X1)
& ilf_type(sK8(X0,X1),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f89,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X2] :
( ? [X3] :
( ~ member(ordered_pair(X2,X3),X0)
& member(ordered_pair(X2,X3),X1)
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) ) )
& ( ! [X4] :
( ! [X5] :
( member(ordered_pair(X4,X5),X0)
| ~ member(ordered_pair(X4,X5),X1)
| ~ ilf_type(X5,set_type) )
| ~ ilf_type(X4,set_type) )
| ~ sP0(X0,X1) ) ),
inference(rectify,[],[f88]) ).
fof(f88,plain,
! [X1,X0] :
( ( sP0(X1,X0)
| ? [X2] :
( ? [X3] :
( ~ member(ordered_pair(X2,X3),X1)
& member(ordered_pair(X2,X3),X0)
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) ) )
& ( ! [X2] :
( ! [X3] :
( member(ordered_pair(X2,X3),X1)
| ~ member(ordered_pair(X2,X3),X0)
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) )
| ~ sP0(X1,X0) ) ),
inference(nnf_transformation,[],[f77]) ).
fof(f140,plain,
! [X0,X1] :
( sP0(X0,X1)
| ilf_type(sK7(X0,X1),set_type) ),
inference(cnf_transformation,[],[f92]) ).
fof(f141,plain,
! [X0,X1] :
( sP0(X0,X1)
| ilf_type(sK8(X0,X1),set_type) ),
inference(cnf_transformation,[],[f92]) ).
fof(f142,plain,
! [X0,X1] :
( member(ordered_pair(sK7(X0,X1),sK8(X0,X1)),X1)
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f92]) ).
fof(f143,plain,
! [X0,X1] :
( ~ member(ordered_pair(sK7(X0,X1),sK8(X0,X1)),X0)
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f92]) ).
fof(f137,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| ~ subset(X0,X1)
| sP0(X1,X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1] :
( ( ( subset(X0,X1)
| ~ sP0(X1,X0) )
& ( sP0(X1,X0)
| ~ subset(X0,X1) ) )
| ~ sP1(X0,X1) ),
inference(nnf_transformation,[],[f78]) ).
fof(f138,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| ~ sP0(X1,X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f87]) ).
fof(f136,plain,
! [X0] :
( ilf_type(domain_of(X0),set_type)
| ~ ilf_type(X0,binary_relation_type) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0] :
( ilf_type(domain_of(X0),set_type)
| ~ ilf_type(X0,binary_relation_type) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( ilf_type(X0,binary_relation_type)
=> ilf_type(domain_of(X0),set_type) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10) ).
fof(f135,plain,
! [X0] :
( ilf_type(range_of(X0),set_type)
| ~ ilf_type(X0,binary_relation_type) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0] :
( ilf_type(range_of(X0),set_type)
| ~ ilf_type(X0,binary_relation_type) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( ilf_type(X0,binary_relation_type)
=> ilf_type(range_of(X0),set_type) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12) ).
fof(f134,plain,
! [X0] :
( subset(X0,X0)
| ~ ilf_type(X0,binary_relation_type) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0] :
( subset(X0,X0)
| ~ ilf_type(X0,binary_relation_type) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( ilf_type(X0,binary_relation_type)
=> subset(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19) ).
fof(f133,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p32) ).
fof(f128,plain,
ilf_type(sK4,set_type),
inference(cnf_transformation,[],[f86]) ).
fof(f129,plain,
ilf_type(sK5,set_type),
inference(cnf_transformation,[],[f86]) ).
fof(f131,plain,
subset(identity_relation_of(sK5),sK6),
inference(cnf_transformation,[],[f86]) ).
fof(f132,plain,
( sK5 != range(sK4,sK5,sK6)
| ~ subset(sK5,domain(sK4,sK5,sK6)) ),
inference(cnf_transformation,[],[f86]) ).
fof(f354,plain,
( sK5 != range(sK4,sK5,sK6)
| spl19_4 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f352,plain,
( spl19_4
<=> sK5 = range(sK4,sK5,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_4])]) ).
fof(f1021,plain,
( sK5 = range_of(sK6)
| ~ subset(range_of(sK6),sK5) ),
inference(resolution,[],[f1014,f227]) ).
fof(f1014,plain,
subset(sK5,range_of(sK6)),
inference(resolution,[],[f864,f131]) ).
fof(f864,plain,
! [X0] :
( ~ subset(identity_relation_of(X0),sK6)
| subset(X0,range_of(sK6)) ),
inference(subsumption_resolution,[],[f861,f130]) ).
fof(f861,plain,
! [X0] :
( subset(X0,range_of(sK6))
| ~ subset(identity_relation_of(X0),sK6)
| ~ ilf_type(sK6,relation_type(sK4,sK5)) ),
inference(superposition,[],[f263,f431]) ).
fof(f1320,plain,
subset(range_of(sK6),sK5),
inference(duplicate_literal_removal,[],[f1316]) ).
fof(f1316,plain,
( subset(range_of(sK6),sK5)
| subset(range_of(sK6),sK5) ),
inference(resolution,[],[f558,f232]) ).
fof(f558,plain,
! [X0] :
( member(sK13(range_of(sK6),X0),sK5)
| subset(range_of(sK6),X0) ),
inference(resolution,[],[f539,f234]) ).
fof(f539,plain,
! [X0] :
( ~ member(X0,range_of(sK6))
| member(X0,sK5) ),
inference(resolution,[],[f495,f439]) ).
fof(f439,plain,
ilf_type(range_of(sK6),subset_type(sK5)),
inference(subsumption_resolution,[],[f437,f130]) ).
fof(f437,plain,
( ilf_type(range_of(sK6),subset_type(sK5))
| ~ ilf_type(sK6,relation_type(sK4,sK5)) ),
inference(superposition,[],[f272,f431]) ).
fof(f272,plain,
! [X2,X0,X1] :
( ilf_type(range(X0,X1,X2),subset_type(X1))
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158,f215,f205,f216,f161,f217,f164,f218,f219,f165,f220,f221,f167,f222,f223,f166,f224,f225,f168,f226,f227,f171,f228,f204,f229,f203,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f172,f237,f238,f239,f179,f240,f241,f178,f242,f243,f177,f244,f245,f176,f246,f247,f248,f181,f249,f250,f180,f251,f252,f202,f253,f254,f183,f255,f256,f257,f182,f258,f259,f260,f186,f261,f262,f263,f185,f264,f265,f266,f187,f267,f268,f188,f269,f270,f189,f271]) ).
fof(f271,plain,
! [X2,X0,X1] :
( ilf_type(range(X0,X1,X2),subset_type(X1))
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158,f215,f205,f216,f161,f217,f164,f218,f219,f165,f220,f221,f167,f222,f223,f166,f224,f225,f168,f226,f227,f171,f228,f204,f229,f203,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f172,f237,f238,f239,f179,f240,f241,f178,f242,f243,f177,f244,f245,f176,f246,f247,f248,f181,f249,f250,f180,f251,f252,f202,f253,f254,f183,f255,f256,f257,f182,f258,f259,f260,f186,f261,f262,f263,f185,f264,f265,f266,f187,f267,f268,f188,f269,f270,f189]) ).
fof(f189,plain,
! [X2,X0,X1] :
( ilf_type(range(X0,X1,X2),subset_type(X1))
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ilf_type(range(X0,X1,X2),subset_type(X1))
| ~ ilf_type(X2,relation_type(X0,X1)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ilf_type(range(X0,X1,X2),subset_type(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p31) ).
fof(f495,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,subset_type(X1))
| ~ member(X2,X0)
| member(X2,X1) ),
inference(resolution,[],[f486,f248]) ).
fof(f486,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ~ ilf_type(X0,subset_type(X1)) ),
inference(subsumption_resolution,[],[f483,f211]) ).
fof(f483,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| empty(power_set(X1))
| ~ ilf_type(X0,subset_type(X1)) ),
inference(resolution,[],[f481,f252]) ).
fof(f481,plain,
! [X0,X1] :
( ~ ilf_type(X0,member_type(X1))
| member(X0,X1)
| empty(X1) ),
inference(subsumption_resolution,[],[f278,f133]) ).
fof(f278,plain,
! [X0,X1] :
( member(X0,X1)
| ~ ilf_type(X0,member_type(X1))
| empty(X1)
| ~ ilf_type(X0,set_type) ),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158,f215,f205,f216,f161,f217,f164,f218,f219,f165,f220,f221,f167,f222,f223,f166,f224,f225,f168,f226,f227,f171,f228,f204,f229,f203,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f172,f237,f238,f239,f179,f240,f241,f178,f242,f243,f177,f244,f245,f176,f246,f247,f248,f181,f249,f250,f180,f251,f252,f202,f253,f254,f183,f255,f256,f257,f182,f258,f259,f260,f186,f261,f262,f263,f185,f264,f265,f266,f187,f267,f268,f188,f269,f270,f189,f271,f272,f190,f273,f274,f191,f192,f275,f276,f194,f277,f193]) ).
fof(f193,plain,
! [X0,X1] :
( member(X0,X1)
| ~ ilf_type(X0,member_type(X1))
| ~ ilf_type(X1,set_type)
| empty(X1)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0] :
( ! [X1] :
( ( ( ilf_type(X0,member_type(X1))
| ~ member(X0,X1) )
& ( member(X0,X1)
| ~ ilf_type(X0,member_type(X1)) ) )
| ~ ilf_type(X1,set_type)
| empty(X1) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0] :
( ! [X1] :
( ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) )
| ~ ilf_type(X1,set_type)
| empty(X1) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f70]) ).
fof(f70,plain,
! [X0] :
( ! [X1] :
( ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) )
| ~ ilf_type(X1,set_type)
| empty(X1) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ( ilf_type(X1,set_type)
& ~ empty(X1) )
=> ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p22) ).
fof(f277,plain,
! [X0,X1] :
( ilf_type(X0,member_type(X1))
| ~ member(X0,X1)
| empty(X1)
| ~ ilf_type(X0,set_type) ),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158,f215,f205,f216,f161,f217,f164,f218,f219,f165,f220,f221,f167,f222,f223,f166,f224,f225,f168,f226,f227,f171,f228,f204,f229,f203,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f172,f237,f238,f239,f179,f240,f241,f178,f242,f243,f177,f244,f245,f176,f246,f247,f248,f181,f249,f250,f180,f251,f252,f202,f253,f254,f183,f255,f256,f257,f182,f258,f259,f260,f186,f261,f262,f263,f185,f264,f265,f266,f187,f267,f268,f188,f269,f270,f189,f271,f272,f190,f273,f274,f191,f192,f275,f276,f194]) ).
fof(f194,plain,
! [X0,X1] :
( ilf_type(X0,member_type(X1))
| ~ member(X0,X1)
| ~ ilf_type(X1,set_type)
| empty(X1)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f121]) ).
fof(f276,plain,
! [X0,X1] : ilf_type(sK15(X0,X1),relation_type(X1,X0)),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158,f215,f205,f216,f161,f217,f164,f218,f219,f165,f220,f221,f167,f222,f223,f166,f224,f225,f168,f226,f227,f171,f228,f204,f229,f203,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f172,f237,f238,f239,f179,f240,f241,f178,f242,f243,f177,f244,f245,f176,f246,f247,f248,f181,f249,f250,f180,f251,f252,f202,f253,f254,f183,f255,f256,f257,f182,f258,f259,f260,f186,f261,f262,f263,f185,f264,f265,f266,f187,f267,f268,f188,f269,f270,f189,f271,f272,f190,f273,f274,f191,f192,f275]) ).
fof(f275,plain,
! [X0,X1] :
( ilf_type(sK15(X0,X1),relation_type(X1,X0))
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158,f215,f205,f216,f161,f217,f164,f218,f219,f165,f220,f221,f167,f222,f223,f166,f224,f225,f168,f226,f227,f171,f228,f204,f229,f203,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f172,f237,f238,f239,f179,f240,f241,f178,f242,f243,f177,f244,f245,f176,f246,f247,f248,f181,f249,f250,f180,f251,f252,f202,f253,f254,f183,f255,f256,f257,f182,f258,f259,f260,f186,f261,f262,f263,f185,f264,f265,f266,f187,f267,f268,f188,f269,f270,f189,f271,f272,f190,f273,f274,f191,f192]) ).
fof(f192,plain,
! [X0,X1] :
( ilf_type(sK15(X0,X1),relation_type(X1,X0))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0] :
( ! [X1] :
( ilf_type(sK15(X0,X1),relation_type(X1,X0))
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f69,f119]) ).
fof(f119,plain,
! [X0,X1] :
( ? [X2] : ilf_type(X2,relation_type(X1,X0))
=> ilf_type(sK15(X0,X1),relation_type(X1,X0)) ),
introduced(choice_axiom,[]) ).
fof(f69,plain,
! [X0] :
( ! [X1] :
( ? [X2] : ilf_type(X2,relation_type(X1,X0))
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ? [X2] : ilf_type(X2,relation_type(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6) ).
fof(f191,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,[],[f68]) ).
fof(f68,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,[],[f25]) ).
fof(f25,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/sandbox/benchmark/theBenchmark.p',p25) ).
fof(f274,plain,
! [X2,X0,X1] :
( ilf_type(domain(X0,X1,X2),subset_type(X0))
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158,f215,f205,f216,f161,f217,f164,f218,f219,f165,f220,f221,f167,f222,f223,f166,f224,f225,f168,f226,f227,f171,f228,f204,f229,f203,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f172,f237,f238,f239,f179,f240,f241,f178,f242,f243,f177,f244,f245,f176,f246,f247,f248,f181,f249,f250,f180,f251,f252,f202,f253,f254,f183,f255,f256,f257,f182,f258,f259,f260,f186,f261,f262,f263,f185,f264,f265,f266,f187,f267,f268,f188,f269,f270,f189,f271,f272,f190,f273]) ).
fof(f273,plain,
! [X2,X0,X1] :
( ilf_type(domain(X0,X1,X2),subset_type(X0))
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158,f215,f205,f216,f161,f217,f164,f218,f219,f165,f220,f221,f167,f222,f223,f166,f224,f225,f168,f226,f227,f171,f228,f204,f229,f203,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f172,f237,f238,f239,f179,f240,f241,f178,f242,f243,f177,f244,f245,f176,f246,f247,f248,f181,f249,f250,f180,f251,f252,f202,f253,f254,f183,f255,f256,f257,f182,f258,f259,f260,f186,f261,f262,f263,f185,f264,f265,f266,f187,f267,f268,f188,f269,f270,f189,f271,f272,f190]) ).
fof(f190,plain,
! [X2,X0,X1] :
( ilf_type(domain(X0,X1,X2),subset_type(X0))
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ilf_type(domain(X0,X1,X2),subset_type(X0))
| ~ ilf_type(X2,relation_type(X0,X1)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ilf_type(domain(X0,X1,X2),subset_type(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p29) ).
fof(f1171,plain,
( spl19_24
| ~ spl19_25
| ~ spl19_8 ),
inference(avatar_split_clause,[],[f1045,f589,f1168,f1164]) ).
fof(f1164,plain,
( spl19_24
<=> member(sK12(domain_of(sK6)),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_24])]) ).
fof(f1168,plain,
( spl19_25
<=> subset(sK4,range_of(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_25])]) ).
fof(f589,plain,
( spl19_8
<=> member(sK12(domain_of(sK6)),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_8])]) ).
fof(f1045,plain,
( ~ subset(sK4,range_of(sK6))
| member(sK12(domain_of(sK6)),sK5)
| ~ spl19_8 ),
inference(resolution,[],[f889,f539]) ).
fof(f889,plain,
( ! [X0] :
( member(sK12(domain_of(sK6)),X0)
| ~ subset(sK4,X0) )
| ~ spl19_8 ),
inference(resolution,[],[f591,f239]) ).
fof(f591,plain,
( member(sK12(domain_of(sK6)),sK4)
| ~ spl19_8 ),
inference(avatar_component_clause,[],[f589]) ).
fof(f1012,plain,
( ~ spl19_22
| spl19_23
| ~ spl19_3 ),
inference(avatar_split_clause,[],[f973,f348,f1009,f1005]) ).
fof(f1005,plain,
( spl19_22
<=> subset(domain_of(sK6),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_22])]) ).
fof(f1009,plain,
( spl19_23
<=> sK5 = domain_of(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_23])]) ).
fof(f348,plain,
( spl19_3
<=> subset(sK5,domain(sK4,sK5,sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_3])]) ).
fof(f973,plain,
( sK5 = domain_of(sK6)
| ~ subset(domain_of(sK6),sK5)
| ~ spl19_3 ),
inference(resolution,[],[f883,f227]) ).
fof(f883,plain,
( subset(sK5,domain_of(sK6))
| ~ spl19_3 ),
inference(forward_demodulation,[],[f349,f425]) ).
fof(f425,plain,
domain(sK4,sK5,sK6) = domain_of(sK6),
inference(resolution,[],[f268,f130]) ).
fof(f349,plain,
( subset(sK5,domain(sK4,sK5,sK6))
| ~ spl19_3 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f977,plain,
( spl19_19
| ~ spl19_3
| ~ spl19_5 ),
inference(avatar_split_clause,[],[f974,f569,f348,f829]) ).
fof(f829,plain,
( spl19_19
<=> sP2(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_19])]) ).
fof(f569,plain,
( spl19_5
<=> sP2(domain_of(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_5])]) ).
fof(f974,plain,
( sP2(sK5)
| ~ spl19_3
| ~ spl19_5 ),
inference(subsumption_resolution,[],[f968,f571]) ).
fof(f571,plain,
( sP2(domain_of(sK6))
| ~ spl19_5 ),
inference(avatar_component_clause,[],[f569]) ).
fof(f968,plain,
( ~ sP2(domain_of(sK6))
| sP2(sK5)
| ~ spl19_3 ),
inference(resolution,[],[f883,f812]) ).
fof(f812,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| ~ sP2(X1)
| sP2(X0) ),
inference(subsumption_resolution,[],[f795,f614]) ).
fof(f614,plain,
! [X2,X3,X0] :
( ordered_pair(X2,X3) != sK9(X0)
| sP2(X0) ),
inference(subsumption_resolution,[],[f613,f133]) ).
fof(f613,plain,
! [X2,X3,X0] :
( sP2(X0)
| ordered_pair(X2,X3) != sK9(X0)
| ~ ilf_type(X2,set_type) ),
inference(subsumption_resolution,[],[f156,f133]) ).
fof(f795,plain,
! [X0,X1] :
( sK9(X0) = ordered_pair(sK10(sK9(X0)),sK11(sK9(X0)))
| ~ sP2(X1)
| ~ subset(X0,X1)
| sP2(X0) ),
inference(resolution,[],[f755,f313]) ).
fof(f313,plain,
! [X0,X1] :
( member(sK9(X0),X1)
| ~ subset(X0,X1)
| sP2(X0) ),
inference(resolution,[],[f239,f155]) ).
fof(f755,plain,
! [X0,X4] :
( ~ member(X4,X0)
| ordered_pair(sK10(X4),sK11(X4)) = X4
| ~ sP2(X0) ),
inference(subsumption_resolution,[],[f153,f133]) ).
fof(f976,plain,
( ~ spl19_3
| ~ spl19_5
| spl19_19 ),
inference(avatar_contradiction_clause,[],[f975]) ).
fof(f975,plain,
( $false
| ~ spl19_3
| ~ spl19_5
| spl19_19 ),
inference(subsumption_resolution,[],[f974,f831]) ).
fof(f831,plain,
( ~ sP2(sK5)
| spl19_19 ),
inference(avatar_component_clause,[],[f829]) ).
fof(f965,plain,
spl19_3,
inference(avatar_contradiction_clause,[],[f964]) ).
fof(f964,plain,
( $false
| spl19_3 ),
inference(subsumption_resolution,[],[f962,f886]) ).
fof(f886,plain,
( ~ subset(sK5,domain_of(sK6))
| spl19_3 ),
inference(forward_demodulation,[],[f350,f425]) ).
fof(f350,plain,
( ~ subset(sK5,domain(sK4,sK5,sK6))
| spl19_3 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f962,plain,
subset(sK5,domain_of(sK6)),
inference(resolution,[],[f925,f131]) ).
fof(f925,plain,
! [X0] :
( ~ subset(identity_relation_of(X0),sK6)
| subset(X0,domain_of(sK6)) ),
inference(subsumption_resolution,[],[f923,f130]) ).
fof(f923,plain,
! [X0] :
( subset(X0,domain_of(sK6))
| ~ subset(identity_relation_of(X0),sK6)
| ~ ilf_type(sK6,relation_type(sK4,sK5)) ),
inference(superposition,[],[f266,f425]) ).
fof(f908,plain,
( spl19_3
| ~ spl19_4
| ~ spl19_11 ),
inference(avatar_contradiction_clause,[],[f907]) ).
fof(f907,plain,
( $false
| spl19_3
| ~ spl19_4
| ~ spl19_11 ),
inference(subsumption_resolution,[],[f901,f356]) ).
fof(f356,plain,
( ~ empty(sK5)
| spl19_3 ),
inference(resolution,[],[f350,f293]) ).
fof(f293,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ empty(X0) ),
inference(resolution,[],[f234,f288]) ).
fof(f288,plain,
! [X2,X0] :
( ~ member(X2,X0)
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f215,f133]) ).
fof(f901,plain,
( empty(sK5)
| ~ spl19_4
| ~ spl19_11 ),
inference(superposition,[],[f618,f891]) ).
fof(f891,plain,
( sK5 = range_of(sK6)
| ~ spl19_4 ),
inference(superposition,[],[f353,f431]) ).
fof(f353,plain,
( sK5 = range(sK4,sK5,sK6)
| ~ spl19_4 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f618,plain,
( empty(range_of(sK6))
| ~ spl19_11 ),
inference(avatar_component_clause,[],[f616]) ).
fof(f616,plain,
( spl19_11
<=> empty(range_of(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_11])]) ).
fof(f906,plain,
( ~ spl19_4
| ~ spl19_9
| spl19_19 ),
inference(avatar_contradiction_clause,[],[f905]) ).
fof(f905,plain,
( $false
| ~ spl19_4
| ~ spl19_9
| spl19_19 ),
inference(subsumption_resolution,[],[f900,f834]) ).
fof(f834,plain,
( ~ relation_like(sK5)
| spl19_19 ),
inference(resolution,[],[f831,f285]) ).
fof(f285,plain,
! [X0] :
( sP2(X0)
| ~ relation_like(X0) ),
inference(subsumption_resolution,[],[f149,f212]) ).
fof(f900,plain,
( relation_like(sK5)
| ~ spl19_4
| ~ spl19_9 ),
inference(superposition,[],[f611,f891]) ).
fof(f611,plain,
( relation_like(range_of(sK6))
| ~ spl19_9 ),
inference(resolution,[],[f605,f286]) ).
fof(f286,plain,
! [X0] :
( ~ sP2(X0)
| relation_like(X0) ),
inference(subsumption_resolution,[],[f150,f212]) ).
fof(f605,plain,
( sP2(range_of(sK6))
| ~ spl19_9 ),
inference(avatar_component_clause,[],[f603]) ).
fof(f603,plain,
( spl19_9
<=> sP2(range_of(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_9])]) ).
fof(f904,plain,
( ~ spl19_4
| ~ spl19_9
| spl19_19 ),
inference(avatar_contradiction_clause,[],[f903]) ).
fof(f903,plain,
( $false
| ~ spl19_4
| ~ spl19_9
| spl19_19 ),
inference(subsumption_resolution,[],[f898,f831]) ).
fof(f898,plain,
( sP2(sK5)
| ~ spl19_4
| ~ spl19_9 ),
inference(superposition,[],[f605,f891]) ).
fof(f885,plain,
( ~ spl19_3
| spl19_4
| ~ spl19_7
| ~ spl19_11 ),
inference(avatar_contradiction_clause,[],[f884]) ).
fof(f884,plain,
( $false
| ~ spl19_3
| spl19_4
| ~ spl19_7
| ~ spl19_11 ),
inference(global_subsumption,[],[f883,f134,f135,f136,f141,f140,f139,f206,f145,f146,f148,f210,f147,f150,f149,f156,f154,f153,f152,f151,f157,f160,f159,f214,f158,f215,f205,f161,f164,f218,f219,f165,f220,f221,f167,f222,f166,f224,f168,f226,f171,f228,f204,f229,f203,f230,f175,f231,f174,f233,f173,f235,f236,f172,f237,f238,f179,f240,f178,f242,f177,f244,f245,f176,f246,f247,f181,f249,f180,f251,f202,f253,f183,f255,f256,f182,f258,f259,f186,f261,f262,f185,f264,f265,f266,f187,f267,f188,f269,f189,f271,f190,f273,f191,f192,f275,f194,f277,f193,f278,f195,f196,f197,f212,f128,f129,f133,f198,f208,f211,f131,f130,f209,f281,f216,f217,f282,f283,f279,f285,f286,f155,f213,f276,f280,f288,f289,f232,f234,f293,f137,f138,f144,f295,f296,f227,f299,f298,f311,f239,f241,f243,f317,f319,f318,f320,f250,f329,f252,f254,f331,f332,f257,f260,f313,f335,f336,f314,f340,f341,f322,f132,f354,f324,f248,f361,f362,f363,f364,f365,f368,f369,f325,f366,f372,f374,f375,f373,f376,f367,f377,f379,f380,f223,f378,f381,f225,f385,f386,f315,f388,f390,f391,f389,f359,f396,f397,f398,f399,f400,f401,f402,f403,f404,f370,f371,f383,f409,f142,f410,f413,f414,f415,f416,f411,f412,f417,f419,f420,f421,f418,f143,f423,f424,f268,f427,f428,f425,f426,f270,f433,f434,f431,f435,f432,f272,f436,f439,f440,f441,f442,f443,f274,f444,f447,f448,f449,f450,f451,f453,f454,f458,f460,f461,f462,f463,f464,f465,f466,f467,f455,f456,f468,f469,f472,f473,f470,f457,f476,f471,f477,f478,f474,f479,f475,f480,f481,f485,f491,f486,f496,f497,f499,f500,f493,f501,f502,f503,f504,f505,f506,f507,f508,f509,f510,f511,f512,f487,f513,f515,f516,f517,f518,f519,f492,f520,f522,f523,f524,f525,f526,f495,f528,f529,f534,f535,f537,f538,f541,f543,f545,f546,f547,f548,f549,f553,f539,f555,f557,f558,f559,f560,f561,f562,f563,f564,f565,f566,f567,f540,f207,f578,f579,f580,f581,f582,f542,f587,f595,f597,f600,f554,f556,f618,f625,f626,f627,f628,f629,f630,f632,f633,f640,f634,f645,f647,f648,f649,f651,f652,f653,f654,f655,f656,f657,f614,f596,f658,f661,f659,f593,f678,f594,f679,f532,f682,f683,f684,f685,f686,f687,f688,f689,f690,f691,f692,f693,f694,f695,f544,f699,f701,f702,f700,f706,f550,f726,f551,f729,f732,f552,f733,f697,f737,f739,f743,f736,f741,f742,f740,f735,f748,f749,f750,f752,f738,f744,f757,f762,f764,f758,f772,f759,f776,f779,f760,f780,f755,f787,f788,f789,f790,f791,f792,f793,f794,f796,f797,f798,f799,f800,f801,f802,f804,f805,f806,f808,f809,f810,f811,f815,f813,f814,f812,f837,f263,f853,f854,f855,f856,f857,f858,f859,f860,f866,f863,f865,f870,f869,f781,f777,f773,f876,f765,f763]) ).
fof(f763,plain,
( ! [X0] :
( subset(domain_of(sK6),X0)
| ~ empty(sK5) )
| ~ spl19_7
| ~ spl19_11 ),
inference(resolution,[],[f757,f288]) ).
fof(f765,plain,
( ! [X0] :
( subset(domain_of(sK6),X0)
| ~ empty(sK5) )
| ~ spl19_7
| ~ spl19_11 ),
inference(resolution,[],[f764,f389]) ).
fof(f876,plain,
( ~ subset(sK5,domain_of(sK6))
| spl19_4
| ~ spl19_7
| ~ spl19_11 ),
inference(subsumption_resolution,[],[f769,f632]) ).
fof(f769,plain,
( sK5 = domain_of(sK6)
| ~ subset(sK5,domain_of(sK6))
| ~ spl19_7
| ~ spl19_11 ),
inference(resolution,[],[f764,f227]) ).
fof(f773,plain,
( ! [X0] :
( ~ subset(X0,domain_of(sK6))
| sP2(X0)
| ~ empty(sK5) )
| ~ spl19_7
| ~ spl19_11 ),
inference(resolution,[],[f758,f288]) ).
fof(f777,plain,
( ! [X0] :
( ~ subset(X0,domain_of(sK6))
| empty(X0)
| ~ empty(sK5) )
| ~ spl19_7
| ~ spl19_11 ),
inference(resolution,[],[f759,f288]) ).
fof(f781,plain,
( ! [X0] :
( ~ subset(X0,domain_of(sK6))
| empty(X0)
| ~ empty(sK5) )
| ~ spl19_7
| ~ spl19_11 ),
inference(resolution,[],[f760,f288]) ).
fof(f869,plain,
( subset(sK5,domain_of(sK6))
| ~ spl19_7
| ~ spl19_11 ),
inference(resolution,[],[f865,f131]) ).
fof(f870,plain,
( ! [X0] :
( subset(X0,domain_of(sK6))
| ~ empty(identity_relation_of(X0)) )
| ~ spl19_7
| ~ spl19_11 ),
inference(resolution,[],[f865,f293]) ).
fof(f865,plain,
( ! [X0] :
( ~ subset(identity_relation_of(X0),sK6)
| subset(X0,domain_of(sK6)) )
| ~ spl19_7
| ~ spl19_11 ),
inference(forward_demodulation,[],[f864,f630]) ).
fof(f863,plain,
( ! [X2,X0,X1] :
( subset(X2,range_of(domain_of(sK6)))
| ~ subset(identity_relation_of(X2),domain_of(sK6))
| ~ ilf_type(domain_of(sK6),relation_type(X0,X1)) )
| ~ spl19_7 ),
inference(superposition,[],[f263,f594]) ).
fof(f866,plain,
! [X2,X0,X1] :
( subset(X2,range_of(sK15(X1,X0)))
| ~ subset(identity_relation_of(X2),sK15(X1,X0)) ),
inference(subsumption_resolution,[],[f862,f276]) ).
fof(f862,plain,
! [X2,X0,X1] :
( subset(X2,range_of(sK15(X1,X0)))
| ~ subset(identity_relation_of(X2),sK15(X1,X0))
| ~ ilf_type(sK15(X1,X0),relation_type(X0,X1)) ),
inference(superposition,[],[f263,f432]) ).
fof(f860,plain,
! [X2,X3,X0,X1] :
( ~ subset(identity_relation_of(power_set(X0)),X1)
| ~ ilf_type(X1,relation_type(X2,X3))
| member(X0,range(X2,X3,X1)) ),
inference(resolution,[],[f263,f320]) ).
fof(f859,plain,
! [X2,X3,X0,X1,X4] :
( ~ subset(identity_relation_of(power_set(X0)),X1)
| ~ ilf_type(X1,relation_type(X2,X3))
| member(X4,range(X2,X3,X1))
| ~ empty(X4) ),
inference(resolution,[],[f263,f322]) ).
fof(f858,plain,
! [X2,X3,X0,X1] :
( ~ subset(identity_relation_of(X0),X1)
| ~ ilf_type(X1,relation_type(X2,X3))
| range(X2,X3,X1) = X0
| ~ subset(range(X2,X3,X1),X0) ),
inference(resolution,[],[f263,f227]) ).
fof(f857,plain,
! [X2,X3,X0,X1] :
( ~ subset(identity_relation_of(X0),X1)
| ~ ilf_type(X1,relation_type(X2,X3))
| range(X2,X3,X1) = X0
| ~ empty(range(X2,X3,X1)) ),
inference(resolution,[],[f263,f298]) ).
fof(f856,plain,
! [X2,X3,X0,X1] :
( ~ subset(identity_relation_of(X0),X1)
| ~ ilf_type(X1,relation_type(X2,X3))
| sP2(X0)
| ~ empty(range(X2,X3,X1)) ),
inference(resolution,[],[f263,f336]) ).
fof(f855,plain,
! [X2,X3,X0,X1] :
( ~ subset(identity_relation_of(X0),X1)
| ~ ilf_type(X1,relation_type(X2,X3))
| empty(X0)
| ~ empty(range(X2,X3,X1)) ),
inference(resolution,[],[f263,f341]) ).
fof(f854,plain,
! [X2,X3,X0,X1,X4] :
( ~ subset(identity_relation_of(X0),X1)
| ~ ilf_type(X1,relation_type(X2,X3))
| subset(X0,X4)
| ~ empty(range(X2,X3,X1)) ),
inference(resolution,[],[f263,f389]) ).
fof(f853,plain,
! [X2,X3,X0,X1] :
( ~ subset(identity_relation_of(X0),X1)
| ~ ilf_type(X1,relation_type(X2,X3))
| ~ sP2(range(X2,X3,X1))
| sP2(X0) ),
inference(resolution,[],[f263,f812]) ).
fof(f837,plain,
( ~ sP2(sK6)
| sP2(identity_relation_of(sK5)) ),
inference(resolution,[],[f812,f131]) ).
fof(f814,plain,
( ! [X0] :
( ~ sP2(sK5)
| ~ subset(X0,domain_of(sK6))
| sP2(X0) )
| ~ spl19_7
| ~ spl19_11 ),
inference(subsumption_resolution,[],[f807,f614]) ).
fof(f807,plain,
( ! [X0] :
( sK9(X0) = ordered_pair(sK10(sK9(X0)),sK11(sK9(X0)))
| ~ sP2(sK5)
| ~ subset(X0,domain_of(sK6))
| sP2(X0) )
| ~ spl19_7
| ~ spl19_11 ),
inference(resolution,[],[f755,f758]) ).
fof(f813,plain,
! [X0] :
( ~ sP2(sK4)
| ~ subset(X0,domain_of(sK6))
| sP2(X0) ),
inference(subsumption_resolution,[],[f803,f614]) ).
fof(f803,plain,
! [X0] :
( sK9(X0) = ordered_pair(sK10(sK9(X0)),sK11(sK9(X0)))
| ~ sP2(sK4)
| ~ subset(X0,domain_of(sK6))
| sP2(X0) ),
inference(resolution,[],[f755,f550]) ).
fof(f815,plain,
! [X0] :
( relation_like(sK12(power_set(X0)))
| ~ sP2(X0) ),
inference(resolution,[],[f811,f286]) ).
fof(f811,plain,
! [X0] :
( sP2(sK12(power_set(X0)))
| ~ sP2(X0) ),
inference(subsumption_resolution,[],[f786,f614]) ).
fof(f786,plain,
! [X0] :
( sK9(sK12(power_set(X0))) = ordered_pair(sK10(sK9(sK12(power_set(X0)))),sK11(sK9(sK12(power_set(X0)))))
| ~ sP2(X0)
| sP2(sK12(power_set(X0))) ),
inference(resolution,[],[f755,f366]) ).
fof(f810,plain,
( ! [X0] :
( sK17(X0) = ordered_pair(sK10(sK17(X0)),sK11(sK17(X0)))
| ~ sP2(sK5)
| ~ subset(X0,domain_of(sK6))
| empty(X0) )
| ~ spl19_7
| ~ spl19_11 ),
inference(resolution,[],[f755,f760]) ).
fof(f809,plain,
( ! [X0] :
( sK13(domain_of(sK6),X0) = ordered_pair(sK10(sK13(domain_of(sK6),X0)),sK11(sK13(domain_of(sK6),X0)))
| ~ sP2(sK5)
| subset(domain_of(sK6),X0) )
| ~ spl19_7
| ~ spl19_11 ),
inference(resolution,[],[f755,f757]) ).
fof(f808,plain,
( ! [X0] :
( sK12(X0) = ordered_pair(sK10(sK12(X0)),sK11(sK12(X0)))
| ~ sP2(sK5)
| ~ subset(X0,domain_of(sK6))
| empty(X0) )
| ~ spl19_7
| ~ spl19_11 ),
inference(resolution,[],[f755,f759]) ).
fof(f806,plain,
! [X0] :
( sK17(X0) = ordered_pair(sK10(sK17(X0)),sK11(sK17(X0)))
| ~ sP2(sK4)
| empty(X0)
| ~ subset(X0,domain_of(sK6)) ),
inference(resolution,[],[f755,f552]) ).
fof(f805,plain,
! [X0] :
( sK13(domain_of(sK6),X0) = ordered_pair(sK10(sK13(domain_of(sK6),X0)),sK11(sK13(domain_of(sK6),X0)))
| ~ sP2(sK4)
| subset(domain_of(sK6),X0) ),
inference(resolution,[],[f755,f544]) ).
fof(f804,plain,
! [X0] :
( sK12(X0) = ordered_pair(sK10(sK12(X0)),sK11(sK12(X0)))
| ~ sP2(sK4)
| ~ subset(X0,domain_of(sK6))
| empty(X0) ),
inference(resolution,[],[f755,f551]) ).
fof(f802,plain,
! [X0,X1] :
( ordered_pair(sK10(X0),sK11(X0)) = X0
| ~ sP2(power_set(X1))
| ~ empty(X0) ),
inference(resolution,[],[f755,f318]) ).
fof(f801,plain,
! [X0,X1] :
( ordered_pair(sK10(X0),sK11(X0)) = X0
| ~ sP2(power_set(X1))
| ~ ilf_type(X0,subset_type(X1)) ),
inference(resolution,[],[f755,f486]) ).
fof(f800,plain,
! [X0] :
( ordered_pair(sK10(X0),sK11(X0)) = X0
| ~ sP2(power_set(X0)) ),
inference(resolution,[],[f755,f319]) ).
fof(f799,plain,
! [X0,X1] :
( ordered_pair(X0,X0) = ordered_pair(sK10(ordered_pair(X0,X0)),sK11(ordered_pair(X0,X0)))
| ~ sP2(identity_relation_of(X1))
| ~ member(X0,X1) ),
inference(resolution,[],[f755,f254]) ).
fof(f798,plain,
! [X2,X0,X1] :
( sK13(X0,X1) = ordered_pair(sK10(sK13(X0,X1)),sK11(sK13(X0,X1)))
| ~ sP2(X2)
| ~ subset(X0,X2)
| subset(X0,X1) ),
inference(resolution,[],[f755,f315]) ).
fof(f797,plain,
! [X0,X1] :
( sK17(X0) = ordered_pair(sK10(sK17(X0)),sK11(sK17(X0)))
| ~ sP2(X1)
| empty(X0)
| ~ subset(X0,X1) ),
inference(resolution,[],[f755,f487]) ).
fof(f796,plain,
! [X0,X1] :
( sK12(X0) = ordered_pair(sK10(sK12(X0)),sK11(sK12(X0)))
| ~ sP2(X1)
| ~ subset(X0,X1)
| empty(X0) ),
inference(resolution,[],[f755,f314]) ).
fof(f794,plain,
! [X0,X1] :
( sK7(X0,identity_relation_of(X1)) = ordered_pair(sK10(sK7(X0,identity_relation_of(X1))),sK11(sK7(X0,identity_relation_of(X1))))
| ~ sP2(X1)
| sP0(X0,identity_relation_of(X1)) ),
inference(resolution,[],[f755,f412]) ).
fof(f793,plain,
! [X0,X1] :
( ordered_pair(sK7(X0,X1),sK8(X0,X1)) = ordered_pair(sK10(ordered_pair(sK7(X0,X1),sK8(X0,X1))),sK11(ordered_pair(sK7(X0,X1),sK8(X0,X1))))
| ~ sP2(X1)
| sP0(X0,X1) ),
inference(resolution,[],[f755,f142]) ).
fof(f792,plain,
! [X0] :
( sK17(sK12(power_set(X0))) = ordered_pair(sK10(sK17(sK12(power_set(X0)))),sK11(sK17(sK12(power_set(X0)))))
| ~ sP2(X0)
| empty(sK12(power_set(X0))) ),
inference(resolution,[],[f755,f492]) ).
fof(f791,plain,
! [X0] :
( sK17(X0) = ordered_pair(sK10(sK17(X0)),sK11(sK17(X0)))
| ~ sP2(X0)
| empty(X0) ),
inference(resolution,[],[f755,f485]) ).
fof(f790,plain,
! [X0,X1] :
( sK14(X0,X1) = ordered_pair(sK10(sK14(X0,X1)),sK11(sK14(X0,X1)))
| ~ sP2(X0)
| member(X0,power_set(X1)) ),
inference(resolution,[],[f755,f243]) ).
fof(f789,plain,
! [X0,X1] :
( sK13(X0,X1) = ordered_pair(sK10(sK13(X0,X1)),sK11(sK13(X0,X1)))
| ~ sP2(X0)
| subset(X0,X1) ),
inference(resolution,[],[f755,f234]) ).
fof(f788,plain,
! [X0] :
( sK12(sK12(power_set(X0))) = ordered_pair(sK10(sK12(sK12(power_set(X0)))),sK11(sK12(sK12(power_set(X0)))))
| ~ sP2(X0)
| empty(sK12(power_set(X0))) ),
inference(resolution,[],[f755,f367]) ).
fof(f787,plain,
! [X0] :
( sK12(X0) = ordered_pair(sK10(sK12(X0)),sK11(sK12(X0)))
| ~ sP2(X0)
| empty(X0) ),
inference(resolution,[],[f755,f213]) ).
fof(f780,plain,
( ! [X0,X1] :
( ~ subset(X0,domain_of(sK6))
| empty(X0)
| member(sK17(X0),X1)
| ~ subset(sK5,X1) )
| ~ spl19_7
| ~ spl19_11 ),
inference(resolution,[],[f760,f239]) ).
fof(f760,plain,
( ! [X0] :
( member(sK17(X0),sK5)
| ~ subset(X0,domain_of(sK6))
| empty(X0) )
| ~ spl19_7
| ~ spl19_11 ),
inference(forward_demodulation,[],[f566,f630]) ).
fof(f779,plain,
( member(domain_of(sK6),sK5)
| ~ subset(power_set(domain_of(sK6)),domain_of(sK6))
| ~ spl19_7
| ~ spl19_11 ),
inference(subsumption_resolution,[],[f778,f211]) ).
fof(f778,plain,
( member(domain_of(sK6),sK5)
| ~ subset(power_set(domain_of(sK6)),domain_of(sK6))
| empty(power_set(domain_of(sK6)))
| ~ spl19_7
| ~ spl19_11 ),
inference(superposition,[],[f759,f659]) ).
fof(f776,plain,
( ! [X0,X1] :
( ~ subset(X0,domain_of(sK6))
| empty(X0)
| member(sK12(X0),X1)
| ~ subset(sK5,X1) )
| ~ spl19_7
| ~ spl19_11 ),
inference(resolution,[],[f759,f239]) ).
fof(f759,plain,
( ! [X0] :
( member(sK12(X0),sK5)
| ~ subset(X0,domain_of(sK6))
| empty(X0) )
| ~ spl19_7
| ~ spl19_11 ),
inference(forward_demodulation,[],[f565,f630]) ).
fof(f772,plain,
( ! [X0,X1] :
( ~ subset(X0,domain_of(sK6))
| sP2(X0)
| member(sK9(X0),X1)
| ~ subset(sK5,X1) )
| ~ spl19_7
| ~ spl19_11 ),
inference(resolution,[],[f758,f239]) ).
fof(f758,plain,
( ! [X0] :
( member(sK9(X0),sK5)
| ~ subset(X0,domain_of(sK6))
| sP2(X0) )
| ~ spl19_7
| ~ spl19_11 ),
inference(forward_demodulation,[],[f564,f630]) ).
fof(f764,plain,
( subset(domain_of(sK6),sK5)
| ~ spl19_7
| ~ spl19_11 ),
inference(duplicate_literal_removal,[],[f761]) ).
fof(f761,plain,
( subset(domain_of(sK6),sK5)
| subset(domain_of(sK6),sK5)
| ~ spl19_7
| ~ spl19_11 ),
inference(resolution,[],[f757,f232]) ).
fof(f762,plain,
( ! [X0,X1] :
( subset(domain_of(sK6),X0)
| member(sK13(domain_of(sK6),X0),X1)
| ~ subset(sK5,X1) )
| ~ spl19_7
| ~ spl19_11 ),
inference(resolution,[],[f757,f239]) ).
fof(f757,plain,
( ! [X0] :
( member(sK13(domain_of(sK6),X0),sK5)
| subset(domain_of(sK6),X0) )
| ~ spl19_7
| ~ spl19_11 ),
inference(forward_demodulation,[],[f756,f630]) ).
fof(f756,plain,
( ! [X0] :
( member(sK13(domain_of(sK6),X0),sK5)
| subset(range_of(sK6),X0) )
| ~ spl19_7
| ~ spl19_11 ),
inference(forward_demodulation,[],[f558,f630]) ).
fof(f744,plain,
! [X2,X0,X1] : relation_like(domain_of(sK15(X0,cross_product(X1,X2)))),
inference(resolution,[],[f697,f448]) ).
fof(f738,plain,
! [X2,X0,X1] : relation_like(range_of(sK15(cross_product(X0,X1),X2))),
inference(resolution,[],[f697,f440]) ).
fof(f752,plain,
! [X0,X1] : relation_like(sK15(X0,X1)),
inference(resolution,[],[f735,f276]) ).
fof(f750,plain,
relation_like(sK6),
inference(resolution,[],[f735,f130]) ).
fof(f749,plain,
! [X2,X0,X1] : relation_like(range_of(sK15(cross_product(X0,X1),X2))),
inference(resolution,[],[f735,f441]) ).
fof(f748,plain,
! [X2,X0,X1] : relation_like(domain_of(sK15(X0,cross_product(X1,X2)))),
inference(resolution,[],[f735,f449]) ).
fof(f735,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,relation_type(X1,X2))
| relation_like(X0) ),
inference(resolution,[],[f697,f223]) ).
fof(f740,plain,
! [X0,X1] : relation_like(sK12(power_set(cross_product(X0,X1)))),
inference(resolution,[],[f697,f468]) ).
fof(f742,plain,
! [X0,X1] : relation_like(sK17(power_set(cross_product(X0,X1)))),
inference(resolution,[],[f697,f329]) ).
fof(f741,plain,
! [X0,X1] : relation_like(sK16(cross_product(X0,X1))),
inference(resolution,[],[f697,f279]) ).
fof(f736,plain,
! [X0,X1] : relation_like(cross_product(X0,X1)),
inference(resolution,[],[f697,f455]) ).
fof(f743,plain,
! [X2,X3,X0,X1] :
( relation_like(range(X0,cross_product(X1,X2),X3))
| ~ ilf_type(X3,relation_type(X0,cross_product(X1,X2))) ),
inference(resolution,[],[f697,f272]) ).
fof(f739,plain,
! [X0,X1] :
( relation_like(sK9(power_set(cross_product(X0,X1))))
| sP2(power_set(cross_product(X0,X1))) ),
inference(resolution,[],[f697,f457]) ).
fof(f737,plain,
! [X2,X3,X0,X1] :
( relation_like(domain(cross_product(X0,X1),X2,X3))
| ~ ilf_type(X3,relation_type(cross_product(X0,X1),X2)) ),
inference(resolution,[],[f697,f274]) ).
fof(f697,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| relation_like(X2) ),
inference(subsumption_resolution,[],[f696,f133]) ).
fof(f696,plain,
! [X2,X0,X1] :
( relation_like(X2)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X0,set_type) ),
inference(subsumption_resolution,[],[f191,f133]) ).
fof(f733,plain,
! [X0,X1] :
( empty(X0)
| ~ subset(X0,domain_of(sK6))
| member(sK17(X0),X1)
| ~ subset(sK4,X1) ),
inference(resolution,[],[f552,f239]) ).
fof(f552,plain,
! [X0] :
( member(sK17(X0),sK4)
| empty(X0)
| ~ subset(X0,domain_of(sK6)) ),
inference(resolution,[],[f538,f487]) ).
fof(f732,plain,
( member(domain_of(sK6),sK4)
| ~ subset(power_set(domain_of(sK6)),domain_of(sK6))
| ~ spl19_7 ),
inference(subsumption_resolution,[],[f731,f211]) ).
fof(f731,plain,
( member(domain_of(sK6),sK4)
| ~ subset(power_set(domain_of(sK6)),domain_of(sK6))
| empty(power_set(domain_of(sK6)))
| ~ spl19_7 ),
inference(superposition,[],[f551,f659]) ).
fof(f729,plain,
! [X0,X1] :
( ~ subset(X0,domain_of(sK6))
| empty(X0)
| member(sK12(X0),X1)
| ~ subset(sK4,X1) ),
inference(resolution,[],[f551,f239]) ).
fof(f551,plain,
! [X0] :
( member(sK12(X0),sK4)
| ~ subset(X0,domain_of(sK6))
| empty(X0) ),
inference(resolution,[],[f538,f314]) ).
fof(f726,plain,
! [X0,X1] :
( ~ subset(X0,domain_of(sK6))
| sP2(X0)
| member(sK9(X0),X1)
| ~ subset(sK4,X1) ),
inference(resolution,[],[f550,f239]) ).
fof(f550,plain,
! [X0] :
( member(sK9(X0),sK4)
| ~ subset(X0,domain_of(sK6))
| sP2(X0) ),
inference(resolution,[],[f538,f313]) ).
fof(f706,plain,
( sK4 = domain_of(sK6)
| ~ subset(sK4,domain_of(sK6)) ),
inference(resolution,[],[f701,f227]) ).
fof(f700,plain,
! [X0] :
( subset(domain_of(sK6),X0)
| ~ empty(sK4) ),
inference(resolution,[],[f544,f288]) ).
fof(f702,plain,
! [X0] :
( subset(domain_of(sK6),X0)
| ~ empty(sK4) ),
inference(resolution,[],[f701,f389]) ).
fof(f701,plain,
subset(domain_of(sK6),sK4),
inference(duplicate_literal_removal,[],[f698]) ).
fof(f698,plain,
( subset(domain_of(sK6),sK4)
| subset(domain_of(sK6),sK4) ),
inference(resolution,[],[f544,f232]) ).
fof(f699,plain,
! [X0,X1] :
( subset(domain_of(sK6),X0)
| member(sK13(domain_of(sK6),X0),X1)
| ~ subset(sK4,X1) ),
inference(resolution,[],[f544,f239]) ).
fof(f544,plain,
! [X0] :
( member(sK13(domain_of(sK6),X0),sK4)
| subset(domain_of(sK6),X0) ),
inference(resolution,[],[f538,f234]) ).
fof(f695,plain,
! [X2,X0,X1] :
( member(sK13(X0,X1),X2)
| ~ subset(X0,sK16(X2))
| subset(X0,X1) ),
inference(resolution,[],[f532,f315]) ).
fof(f694,plain,
! [X0,X1] :
( member(sK17(X0),X1)
| empty(X0)
| ~ subset(X0,sK16(X1)) ),
inference(resolution,[],[f532,f487]) ).
fof(f693,plain,
! [X0,X1] :
( member(sK12(X0),X1)
| ~ subset(X0,sK16(X1))
| empty(X0) ),
inference(resolution,[],[f532,f314]) ).
fof(f692,plain,
! [X0,X1] :
( member(sK9(X0),X1)
| ~ subset(X0,sK16(X1))
| sP2(X0) ),
inference(resolution,[],[f532,f313]) ).
fof(f691,plain,
! [X0,X1] :
( member(sK7(X0,identity_relation_of(sK16(X1))),X1)
| sP0(X0,identity_relation_of(sK16(X1))) ),
inference(resolution,[],[f532,f412]) ).
fof(f690,plain,
! [X0,X1] :
( member(ordered_pair(sK7(X0,sK16(X1)),sK8(X0,sK16(X1))),X1)
| sP0(X0,sK16(X1)) ),
inference(resolution,[],[f532,f142]) ).
fof(f689,plain,
! [X0] :
( member(sK17(sK12(power_set(sK16(X0)))),X0)
| empty(sK12(power_set(sK16(X0)))) ),
inference(resolution,[],[f532,f492]) ).
fof(f688,plain,
! [X0] :
( member(sK17(sK16(X0)),X0)
| empty(sK16(X0)) ),
inference(resolution,[],[f532,f485]) ).
fof(f687,plain,
! [X0,X1] :
( member(sK14(sK16(X0),X1),X0)
| member(sK16(X0),power_set(X1)) ),
inference(resolution,[],[f532,f243]) ).
fof(f686,plain,
! [X0,X1] :
( member(sK13(sK16(X0),X1),X0)
| subset(sK16(X0),X1) ),
inference(resolution,[],[f532,f234]) ).
fof(f685,plain,
! [X0] :
( member(sK12(sK12(power_set(sK16(X0)))),X0)
| empty(sK12(power_set(sK16(X0)))) ),
inference(resolution,[],[f532,f367]) ).
fof(f684,plain,
! [X0] :
( member(sK12(sK16(X0)),X0)
| empty(sK16(X0)) ),
inference(resolution,[],[f532,f213]) ).
fof(f683,plain,
! [X0] :
( member(sK9(sK12(power_set(sK16(X0)))),X0)
| sP2(sK12(power_set(sK16(X0)))) ),
inference(resolution,[],[f532,f366]) ).
fof(f682,plain,
! [X0] :
( member(sK9(sK16(X0)),X0)
| sP2(sK16(X0)) ),
inference(resolution,[],[f532,f155]) ).
fof(f532,plain,
! [X0,X1] :
( ~ member(X0,sK16(X1))
| member(X0,X1) ),
inference(resolution,[],[f495,f279]) ).
fof(f679,plain,
( ! [X0,X1] :
( ilf_type(range_of(domain_of(sK6)),subset_type(X1))
| ~ ilf_type(domain_of(sK6),relation_type(X0,X1)) )
| ~ spl19_7 ),
inference(superposition,[],[f272,f594]) ).
fof(f594,plain,
( ! [X0,X1] : range_of(domain_of(sK6)) = range(X0,X1,domain_of(sK6))
| ~ spl19_7 ),
inference(resolution,[],[f587,f474]) ).
fof(f678,plain,
( ! [X0,X1] :
( ilf_type(domain_of(domain_of(sK6)),subset_type(X0))
| ~ ilf_type(domain_of(sK6),relation_type(X0,X1)) )
| ~ spl19_7 ),
inference(superposition,[],[f274,f593]) ).
fof(f593,plain,
( ! [X0,X1] : domain_of(domain_of(sK6)) = domain(X0,X1,domain_of(sK6))
| ~ spl19_7 ),
inference(resolution,[],[f587,f475]) ).
fof(f659,plain,
( domain_of(sK6) = sK12(power_set(domain_of(sK6)))
| ~ spl19_7 ),
inference(resolution,[],[f596,f587]) ).
fof(f661,plain,
( domain_of(sK6) = sK12(power_set(domain_of(sK6)))
| ~ spl19_7
| ~ spl19_11 ),
inference(forward_demodulation,[],[f660,f630]) ).
fof(f660,plain,
( domain_of(sK6) = sK12(power_set(range_of(sK6)))
| ~ spl19_7
| ~ spl19_11 ),
inference(resolution,[],[f596,f618]) ).
fof(f658,plain,
( ! [X0] :
( sK12(power_set(sK12(power_set(X0)))) = domain_of(sK6)
| ~ empty(X0) )
| ~ spl19_7 ),
inference(resolution,[],[f596,f378]) ).
fof(f596,plain,
( ! [X0] :
( ~ empty(X0)
| sK12(power_set(X0)) = domain_of(sK6) )
| ~ spl19_7 ),
inference(resolution,[],[f587,f381]) ).
fof(f657,plain,
( ! [X0,X1] :
( member(sK13(X0,X1),sK5)
| ~ subset(X0,domain_of(sK6))
| subset(X0,X1) )
| ~ spl19_7
| ~ spl19_11 ),
inference(resolution,[],[f634,f315]) ).
fof(f656,plain,
( ! [X0] :
( member(sK17(X0),sK5)
| empty(X0)
| ~ subset(X0,domain_of(sK6)) )
| ~ spl19_7
| ~ spl19_11 ),
inference(resolution,[],[f634,f487]) ).
fof(f655,plain,
( ! [X0] :
( member(sK12(X0),sK5)
| ~ subset(X0,domain_of(sK6))
| empty(X0) )
| ~ spl19_7
| ~ spl19_11 ),
inference(resolution,[],[f634,f314]) ).
fof(f654,plain,
( ! [X0] :
( member(sK9(X0),sK5)
| ~ subset(X0,domain_of(sK6))
| sP2(X0) )
| ~ spl19_7
| ~ spl19_11 ),
inference(resolution,[],[f634,f313]) ).
fof(f653,plain,
( ! [X0] :
( member(sK7(X0,identity_relation_of(domain_of(sK6))),sK5)
| sP0(X0,identity_relation_of(domain_of(sK6))) )
| ~ spl19_7
| ~ spl19_11 ),
inference(resolution,[],[f634,f412]) ).
fof(f652,plain,
( ! [X0] :
( member(ordered_pair(sK7(X0,domain_of(sK6)),sK8(X0,domain_of(sK6))),sK5)
| sP0(X0,domain_of(sK6)) )
| ~ spl19_7
| ~ spl19_11 ),
inference(resolution,[],[f634,f142]) ).
fof(f651,plain,
( member(sK17(sK12(power_set(domain_of(sK6)))),sK5)
| empty(sK12(power_set(domain_of(sK6))))
| ~ spl19_7
| ~ spl19_11 ),
inference(resolution,[],[f634,f492]) ).
fof(f649,plain,
( ! [X0] :
( member(sK14(domain_of(sK6),X0),sK5)
| member(domain_of(sK6),power_set(X0)) )
| ~ spl19_7
| ~ spl19_11 ),
inference(resolution,[],[f634,f243]) ).
fof(f648,plain,
( ! [X0] :
( member(sK13(domain_of(sK6),X0),sK5)
| subset(domain_of(sK6),X0) )
| ~ spl19_7
| ~ spl19_11 ),
inference(resolution,[],[f634,f234]) ).
fof(f647,plain,
( member(sK12(sK12(power_set(domain_of(sK6)))),sK5)
| empty(sK12(power_set(domain_of(sK6))))
| ~ spl19_7
| ~ spl19_11 ),
inference(resolution,[],[f634,f367]) ).
fof(f645,plain,
( member(sK9(sK12(power_set(domain_of(sK6)))),sK5)
| sP2(sK12(power_set(domain_of(sK6))))
| ~ spl19_7
| ~ spl19_11 ),
inference(resolution,[],[f634,f366]) ).
fof(f634,plain,
( ! [X0] :
( ~ member(X0,domain_of(sK6))
| member(X0,sK5) )
| ~ spl19_7
| ~ spl19_11 ),
inference(superposition,[],[f539,f630]) ).
fof(f640,plain,
( ! [X0] :
( ~ member(X0,domain_of(sK6))
| member(X0,sK5) )
| ~ spl19_7
| ~ spl19_11 ),
inference(resolution,[],[f633,f495]) ).
fof(f633,plain,
( ilf_type(domain_of(sK6),subset_type(sK5))
| ~ spl19_7
| ~ spl19_11 ),
inference(superposition,[],[f439,f630]) ).
fof(f632,plain,
( sK5 != domain_of(sK6)
| spl19_4
| ~ spl19_7
| ~ spl19_11 ),
inference(superposition,[],[f435,f630]) ).
fof(f630,plain,
( domain_of(sK6) = range_of(sK6)
| ~ spl19_7
| ~ spl19_11 ),
inference(resolution,[],[f618,f597]) ).
fof(f629,plain,
( ! [X0,X1] : domain_of(range_of(sK6)) = domain(X0,X1,range_of(sK6))
| ~ spl19_11 ),
inference(resolution,[],[f618,f475]) ).
fof(f628,plain,
( ! [X0,X1] : range_of(range_of(sK6)) = range(X0,X1,range_of(sK6))
| ~ spl19_11 ),
inference(resolution,[],[f618,f474]) ).
fof(f627,plain,
( ! [X0] :
( ~ empty(X0)
| sK12(power_set(X0)) = sK12(power_set(range_of(sK6))) )
| ~ spl19_11 ),
inference(resolution,[],[f618,f383]) ).
fof(f626,plain,
( ! [X0] :
( sK12(power_set(X0)) = range_of(sK6)
| ~ empty(X0) )
| ~ spl19_11 ),
inference(resolution,[],[f618,f381]) ).
fof(f625,plain,
( ! [X0] :
( range_of(sK6) = X0
| ~ empty(X0) )
| ~ spl19_11 ),
inference(resolution,[],[f618,f311]) ).
fof(f556,plain,
( member(sK12(range_of(sK6)),sK5)
| empty(range_of(sK6)) ),
inference(resolution,[],[f539,f213]) ).
fof(f554,plain,
( member(sK9(range_of(sK6)),sK5)
| sP2(range_of(sK6)) ),
inference(resolution,[],[f539,f155]) ).
fof(f600,plain,
( ! [X0] :
( sK12(power_set(X0)) = domain_of(sK6)
| ~ empty(X0) )
| ~ spl19_7 ),
inference(resolution,[],[f597,f378]) ).
fof(f597,plain,
( ! [X0] :
( ~ empty(X0)
| domain_of(sK6) = X0 )
| ~ spl19_7 ),
inference(resolution,[],[f587,f311]) ).
fof(f595,plain,
( ! [X0] :
( ~ empty(X0)
| sK12(power_set(X0)) = sK12(power_set(domain_of(sK6))) )
| ~ spl19_7 ),
inference(resolution,[],[f587,f383]) ).
fof(f587,plain,
( empty(domain_of(sK6))
| ~ spl19_7 ),
inference(avatar_component_clause,[],[f585]) ).
fof(f585,plain,
( spl19_7
<=> empty(domain_of(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_7])]) ).
fof(f542,plain,
( member(sK12(domain_of(sK6)),sK4)
| empty(domain_of(sK6)) ),
inference(resolution,[],[f538,f213]) ).
fof(f582,plain,
! [X2,X3,X0,X1] :
( member(ordered_pair(X0,X1),X2)
| ~ sP0(X2,power_set(X3))
| ~ empty(ordered_pair(X0,X1)) ),
inference(resolution,[],[f207,f318]) ).
fof(f581,plain,
! [X2,X3,X0,X1] :
( member(ordered_pair(X0,X1),X2)
| ~ sP0(X2,power_set(X3))
| ~ ilf_type(ordered_pair(X0,X1),subset_type(X3)) ),
inference(resolution,[],[f207,f486]) ).
fof(f580,plain,
! [X2,X0,X1] :
( member(ordered_pair(X0,X1),X2)
| ~ sP0(X2,power_set(ordered_pair(X0,X1))) ),
inference(resolution,[],[f207,f319]) ).
fof(f579,plain,
! [X2,X0,X1] :
( member(ordered_pair(X0,X0),X1)
| ~ sP0(X1,identity_relation_of(X2))
| ~ member(X0,X2) ),
inference(resolution,[],[f207,f254]) ).
fof(f578,plain,
! [X2,X0,X1] :
( member(ordered_pair(sK7(X0,X1),sK8(X0,X1)),X2)
| ~ sP0(X2,X1)
| sP0(X0,X1) ),
inference(resolution,[],[f207,f142]) ).
fof(f540,plain,
( member(sK9(domain_of(sK6)),sK4)
| sP2(domain_of(sK6)) ),
inference(resolution,[],[f538,f155]) ).
fof(f567,plain,
! [X0,X1] :
( member(sK13(X0,X1),sK5)
| ~ subset(X0,range_of(sK6))
| subset(X0,X1) ),
inference(resolution,[],[f539,f315]) ).
fof(f566,plain,
! [X0] :
( member(sK17(X0),sK5)
| empty(X0)
| ~ subset(X0,range_of(sK6)) ),
inference(resolution,[],[f539,f487]) ).
fof(f565,plain,
! [X0] :
( member(sK12(X0),sK5)
| ~ subset(X0,range_of(sK6))
| empty(X0) ),
inference(resolution,[],[f539,f314]) ).
fof(f564,plain,
! [X0] :
( member(sK9(X0),sK5)
| ~ subset(X0,range_of(sK6))
| sP2(X0) ),
inference(resolution,[],[f539,f313]) ).
fof(f563,plain,
! [X0] :
( member(sK7(X0,identity_relation_of(range_of(sK6))),sK5)
| sP0(X0,identity_relation_of(range_of(sK6))) ),
inference(resolution,[],[f539,f412]) ).
fof(f562,plain,
! [X0] :
( member(ordered_pair(sK7(X0,range_of(sK6)),sK8(X0,range_of(sK6))),sK5)
| sP0(X0,range_of(sK6)) ),
inference(resolution,[],[f539,f142]) ).
fof(f561,plain,
( member(sK17(sK12(power_set(range_of(sK6)))),sK5)
| empty(sK12(power_set(range_of(sK6)))) ),
inference(resolution,[],[f539,f492]) ).
fof(f560,plain,
( member(sK17(range_of(sK6)),sK5)
| empty(range_of(sK6)) ),
inference(resolution,[],[f539,f485]) ).
fof(f559,plain,
! [X0] :
( member(sK14(range_of(sK6),X0),sK5)
| member(range_of(sK6),power_set(X0)) ),
inference(resolution,[],[f539,f243]) ).
fof(f557,plain,
( member(sK12(sK12(power_set(range_of(sK6)))),sK5)
| empty(sK12(power_set(range_of(sK6)))) ),
inference(resolution,[],[f539,f367]) ).
fof(f555,plain,
( member(sK9(sK12(power_set(range_of(sK6)))),sK5)
| sP2(sK12(power_set(range_of(sK6)))) ),
inference(resolution,[],[f539,f366]) ).
fof(f553,plain,
! [X0,X1] :
( member(sK13(X0,X1),sK4)
| ~ subset(X0,domain_of(sK6))
| subset(X0,X1) ),
inference(resolution,[],[f538,f315]) ).
fof(f549,plain,
! [X0] :
( member(sK7(X0,identity_relation_of(domain_of(sK6))),sK4)
| sP0(X0,identity_relation_of(domain_of(sK6))) ),
inference(resolution,[],[f538,f412]) ).
fof(f548,plain,
! [X0] :
( member(ordered_pair(sK7(X0,domain_of(sK6)),sK8(X0,domain_of(sK6))),sK4)
| sP0(X0,domain_of(sK6)) ),
inference(resolution,[],[f538,f142]) ).
fof(f547,plain,
( member(sK17(sK12(power_set(domain_of(sK6)))),sK4)
| empty(sK12(power_set(domain_of(sK6)))) ),
inference(resolution,[],[f538,f492]) ).
fof(f546,plain,
( member(sK17(domain_of(sK6)),sK4)
| empty(domain_of(sK6)) ),
inference(resolution,[],[f538,f485]) ).
fof(f545,plain,
! [X0] :
( member(sK14(domain_of(sK6),X0),sK4)
| member(domain_of(sK6),power_set(X0)) ),
inference(resolution,[],[f538,f243]) ).
fof(f543,plain,
( member(sK12(sK12(power_set(domain_of(sK6)))),sK4)
| empty(sK12(power_set(domain_of(sK6)))) ),
inference(resolution,[],[f538,f367]) ).
fof(f541,plain,
( member(sK9(sK12(power_set(domain_of(sK6)))),sK4)
| sP2(sK12(power_set(domain_of(sK6)))) ),
inference(resolution,[],[f538,f366]) ).
fof(f538,plain,
! [X0] :
( ~ member(X0,domain_of(sK6))
| member(X0,sK4) ),
inference(resolution,[],[f495,f447]) ).
fof(f537,plain,
! [X2,X3,X0,X1] :
( ~ member(X0,X1)
| member(X0,cross_product(X2,X3))
| ~ ilf_type(X1,relation_type(X2,X3)) ),
inference(resolution,[],[f495,f223]) ).
fof(f535,plain,
! [X2,X0,X1] :
( ~ member(X0,domain_of(sK15(X1,X2)))
| member(X0,X2) ),
inference(resolution,[],[f495,f448]) ).
fof(f534,plain,
! [X2,X3,X0,X1] :
( ~ member(X0,range(X1,X2,X3))
| member(X0,X2)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(resolution,[],[f495,f272]) ).
fof(f529,plain,
! [X2,X0,X1] :
( ~ member(X0,range_of(sK15(X1,X2)))
| member(X0,X1) ),
inference(resolution,[],[f495,f440]) ).
fof(f528,plain,
! [X2,X3,X0,X1] :
( ~ member(X0,domain(X1,X2,X3))
| member(X0,X1)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(resolution,[],[f495,f274]) ).
fof(f526,plain,
! [X0] :
( empty(sK12(power_set(sK17(power_set(X0)))))
| member(sK17(sK12(power_set(sK17(power_set(X0))))),X0) ),
inference(resolution,[],[f492,f493]) ).
fof(f525,plain,
! [X0] :
( empty(sK12(power_set(sK12(power_set(X0)))))
| member(sK17(sK12(power_set(sK12(power_set(X0))))),X0) ),
inference(resolution,[],[f492,f365]) ).
fof(f524,plain,
! [X0] :
( empty(sK12(power_set(sK9(power_set(X0)))))
| member(sK17(sK12(power_set(sK9(power_set(X0))))),X0)
| sP2(power_set(X0)) ),
inference(resolution,[],[f492,f359]) ).
fof(f523,plain,
! [X0,X1] :
( empty(sK12(power_set(power_set(X0))))
| ~ member(X1,sK17(sK12(power_set(power_set(X0)))))
| member(X1,X0) ),
inference(resolution,[],[f492,f248]) ).
fof(f522,plain,
! [X0] :
( empty(sK12(power_set(power_set(X0))))
| ilf_type(sK17(sK12(power_set(power_set(X0)))),subset_type(X0)) ),
inference(resolution,[],[f492,f454]) ).
fof(f520,plain,
! [X0,X1] :
( empty(sK12(power_set(X0)))
| member(sK17(sK12(power_set(X0))),X1)
| ~ subset(X0,X1) ),
inference(resolution,[],[f492,f239]) ).
fof(f492,plain,
! [X0] :
( member(sK17(sK12(power_set(X0))),X0)
| empty(sK12(power_set(X0))) ),
inference(resolution,[],[f485,f365]) ).
fof(f519,plain,
! [X0,X1] :
( empty(X0)
| ~ subset(X0,sK17(power_set(X1)))
| member(sK17(X0),X1) ),
inference(resolution,[],[f487,f493]) ).
fof(f518,plain,
! [X0,X1] :
( empty(X0)
| ~ subset(X0,sK12(power_set(X1)))
| member(sK17(X0),X1) ),
inference(resolution,[],[f487,f365]) ).
fof(f517,plain,
! [X0,X1] :
( empty(X0)
| ~ subset(X0,sK9(power_set(X1)))
| member(sK17(X0),X1)
| sP2(power_set(X1)) ),
inference(resolution,[],[f487,f359]) ).
fof(f516,plain,
! [X2,X0,X1] :
( empty(X0)
| ~ subset(X0,power_set(X1))
| ~ member(X2,sK17(X0))
| member(X2,X1) ),
inference(resolution,[],[f487,f248]) ).
fof(f515,plain,
! [X0,X1] :
( empty(X0)
| ~ subset(X0,power_set(X1))
| ilf_type(sK17(X0),subset_type(X1)) ),
inference(resolution,[],[f487,f454]) ).
fof(f513,plain,
! [X2,X0,X1] :
( empty(X0)
| ~ subset(X0,X1)
| member(sK17(X0),X2)
| ~ subset(X1,X2) ),
inference(resolution,[],[f487,f239]) ).
fof(f487,plain,
! [X0,X1] :
( member(sK17(X0),X1)
| empty(X0)
| ~ subset(X0,X1) ),
inference(resolution,[],[f485,f239]) ).
fof(f512,plain,
! [X2,X0,X1] :
( member(sK13(X0,X1),X2)
| ~ subset(X0,sK17(power_set(X2)))
| subset(X0,X1) ),
inference(resolution,[],[f493,f315]) ).
fof(f511,plain,
! [X0,X1] :
( member(sK12(X0),X1)
| ~ subset(X0,sK17(power_set(X1)))
| empty(X0) ),
inference(resolution,[],[f493,f314]) ).
fof(f510,plain,
! [X0,X1] :
( member(sK9(X0),X1)
| ~ subset(X0,sK17(power_set(X1)))
| sP2(X0) ),
inference(resolution,[],[f493,f313]) ).
fof(f509,plain,
! [X0,X1] :
( member(sK7(X0,identity_relation_of(sK17(power_set(X1)))),X1)
| sP0(X0,identity_relation_of(sK17(power_set(X1)))) ),
inference(resolution,[],[f493,f412]) ).
fof(f508,plain,
! [X0,X1] :
( member(ordered_pair(sK7(X0,sK17(power_set(X1))),sK8(X0,sK17(power_set(X1)))),X1)
| sP0(X0,sK17(power_set(X1))) ),
inference(resolution,[],[f493,f142]) ).
fof(f507,plain,
! [X0] :
( member(sK17(sK17(power_set(X0))),X0)
| empty(sK17(power_set(X0))) ),
inference(resolution,[],[f493,f485]) ).
fof(f506,plain,
! [X0,X1] :
( member(sK14(sK17(power_set(X0)),X1),X0)
| member(sK17(power_set(X0)),power_set(X1)) ),
inference(resolution,[],[f493,f243]) ).
fof(f505,plain,
! [X0,X1] :
( member(sK13(sK17(power_set(X0)),X1),X0)
| subset(sK17(power_set(X0)),X1) ),
inference(resolution,[],[f493,f234]) ).
fof(f504,plain,
! [X0] :
( member(sK12(sK12(power_set(sK17(power_set(X0))))),X0)
| empty(sK12(power_set(sK17(power_set(X0))))) ),
inference(resolution,[],[f493,f367]) ).
fof(f503,plain,
! [X0] :
( member(sK12(sK17(power_set(X0))),X0)
| empty(sK17(power_set(X0))) ),
inference(resolution,[],[f493,f213]) ).
fof(f502,plain,
! [X0] :
( member(sK9(sK12(power_set(sK17(power_set(X0))))),X0)
| sP2(sK12(power_set(sK17(power_set(X0))))) ),
inference(resolution,[],[f493,f366]) ).
fof(f501,plain,
! [X0] :
( member(sK9(sK17(power_set(X0))),X0)
| sP2(sK17(power_set(X0))) ),
inference(resolution,[],[f493,f155]) ).
fof(f493,plain,
! [X0,X1] :
( ~ member(X1,sK17(power_set(X0)))
| member(X1,X0) ),
inference(subsumption_resolution,[],[f490,f211]) ).
fof(f490,plain,
! [X0,X1] :
( empty(power_set(X0))
| ~ member(X1,sK17(power_set(X0)))
| member(X1,X0) ),
inference(resolution,[],[f485,f248]) ).
fof(f500,plain,
! [X0,X1] :
( ~ ilf_type(sK14(X0,power_set(X1)),subset_type(X1))
| member(X0,power_set(power_set(X1))) ),
inference(resolution,[],[f486,f241]) ).
fof(f499,plain,
! [X0,X1] :
( ~ ilf_type(sK13(X0,power_set(X1)),subset_type(X1))
| subset(X0,power_set(X1)) ),
inference(resolution,[],[f486,f232]) ).
fof(f497,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,subset_type(X1))
| member(X0,X2)
| ~ subset(power_set(X1),X2) ),
inference(resolution,[],[f486,f239]) ).
fof(f496,plain,
! [X0,X1] :
( ~ ilf_type(ordered_pair(sK7(power_set(X0),X1),sK8(power_set(X0),X1)),subset_type(X0))
| sP0(power_set(X0),X1) ),
inference(resolution,[],[f486,f143]) ).
fof(f491,plain,
! [X0] :
( empty(sK9(power_set(X0)))
| member(sK17(sK9(power_set(X0))),X0)
| sP2(power_set(X0)) ),
inference(resolution,[],[f485,f359]) ).
fof(f485,plain,
! [X0] :
( member(sK17(X0),X0)
| empty(X0) ),
inference(duplicate_literal_removal,[],[f482]) ).
fof(f482,plain,
! [X0] :
( member(sK17(X0),X0)
| empty(X0)
| empty(X0) ),
inference(resolution,[],[f481,f280]) ).
fof(f480,plain,
! [X2,X0,X1] :
( domain_of(sK12(power_set(X0))) = domain(X1,X2,sK12(power_set(X0)))
| ~ empty(X0) ),
inference(resolution,[],[f475,f378]) ).
fof(f475,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| domain_of(X0) = domain(X1,X2,X0) ),
inference(resolution,[],[f470,f268]) ).
fof(f479,plain,
! [X2,X0,X1] :
( range_of(sK12(power_set(X0))) = range(X1,X2,sK12(power_set(X0)))
| ~ empty(X0) ),
inference(resolution,[],[f474,f378]) ).
fof(f474,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| range_of(X0) = range(X1,X2,X0) ),
inference(resolution,[],[f470,f270]) ).
fof(f478,plain,
! [X0,X1] : domain(X0,X1,sK12(power_set(cross_product(X0,X1)))) = domain_of(sK12(power_set(cross_product(X0,X1)))),
inference(resolution,[],[f471,f268]) ).
fof(f477,plain,
! [X0,X1] : range(X0,X1,sK12(power_set(cross_product(X0,X1)))) = range_of(sK12(power_set(cross_product(X0,X1)))),
inference(resolution,[],[f471,f270]) ).
fof(f471,plain,
! [X0,X1] : ilf_type(sK12(power_set(cross_product(X0,X1))),relation_type(X0,X1)),
inference(resolution,[],[f468,f225]) ).
fof(f476,plain,
! [X0,X1] :
( sP2(power_set(cross_product(X0,X1)))
| ilf_type(sK9(power_set(cross_product(X0,X1))),relation_type(X0,X1)) ),
inference(resolution,[],[f457,f225]) ).
fof(f457,plain,
! [X0] :
( ilf_type(sK9(power_set(X0)),subset_type(X0))
| sP2(power_set(X0)) ),
inference(resolution,[],[f454,f155]) ).
fof(f470,plain,
! [X2,X0,X1] :
( ilf_type(X0,relation_type(X1,X2))
| ~ empty(X0) ),
inference(resolution,[],[f456,f225]) ).
fof(f473,plain,
! [X0,X1] : domain(X0,X1,cross_product(X0,X1)) = domain_of(cross_product(X0,X1)),
inference(resolution,[],[f469,f268]) ).
fof(f472,plain,
! [X0,X1] : range(X0,X1,cross_product(X0,X1)) = range_of(cross_product(X0,X1)),
inference(resolution,[],[f469,f270]) ).
fof(f469,plain,
! [X0,X1] : ilf_type(cross_product(X0,X1),relation_type(X0,X1)),
inference(resolution,[],[f455,f225]) ).
fof(f468,plain,
! [X0] : ilf_type(sK12(power_set(X0)),subset_type(X0)),
inference(subsumption_resolution,[],[f459,f211]) ).
fof(f459,plain,
! [X0] :
( ilf_type(sK12(power_set(X0)),subset_type(X0))
| empty(power_set(X0)) ),
inference(resolution,[],[f454,f213]) ).
fof(f456,plain,
! [X0,X1] :
( ilf_type(X0,subset_type(X1))
| ~ empty(X0) ),
inference(resolution,[],[f454,f318]) ).
fof(f455,plain,
! [X0] : ilf_type(X0,subset_type(X0)),
inference(resolution,[],[f454,f319]) ).
fof(f467,plain,
! [X2,X0,X1] :
( ilf_type(sK13(X0,X1),subset_type(X2))
| ~ subset(X0,power_set(X2))
| subset(X0,X1) ),
inference(resolution,[],[f454,f315]) ).
fof(f466,plain,
! [X0,X1] :
( ilf_type(sK12(X0),subset_type(X1))
| ~ subset(X0,power_set(X1))
| empty(X0) ),
inference(resolution,[],[f454,f314]) ).
fof(f465,plain,
! [X0,X1] :
( ilf_type(sK9(X0),subset_type(X1))
| ~ subset(X0,power_set(X1))
| sP2(X0) ),
inference(resolution,[],[f454,f313]) ).
fof(f464,plain,
! [X0,X1] :
( ilf_type(sK7(X0,identity_relation_of(power_set(X1))),subset_type(X1))
| sP0(X0,identity_relation_of(power_set(X1))) ),
inference(resolution,[],[f454,f412]) ).
fof(f463,plain,
! [X0,X1] :
( ilf_type(ordered_pair(sK7(X0,power_set(X1)),sK8(X0,power_set(X1))),subset_type(X1))
| sP0(X0,power_set(X1)) ),
inference(resolution,[],[f454,f142]) ).
fof(f462,plain,
! [X0,X1] :
( ilf_type(sK14(power_set(X0),X1),subset_type(X0))
| member(power_set(X0),power_set(X1)) ),
inference(resolution,[],[f454,f243]) ).
fof(f461,plain,
! [X0,X1] :
( ilf_type(sK13(power_set(X0),X1),subset_type(X0))
| subset(power_set(X0),X1) ),
inference(resolution,[],[f454,f234]) ).
fof(f460,plain,
! [X0] :
( ilf_type(sK12(sK12(power_set(power_set(X0)))),subset_type(X0))
| empty(sK12(power_set(power_set(X0)))) ),
inference(resolution,[],[f454,f367]) ).
fof(f458,plain,
! [X0] :
( ilf_type(sK9(sK12(power_set(power_set(X0)))),subset_type(X0))
| sP2(sK12(power_set(power_set(X0)))) ),
inference(resolution,[],[f454,f366]) ).
fof(f454,plain,
! [X0,X1] :
( ~ member(X0,power_set(X1))
| ilf_type(X0,subset_type(X1)) ),
inference(resolution,[],[f453,f250]) ).
fof(f453,plain,
! [X0,X1] :
( ilf_type(X0,member_type(X1))
| ~ member(X0,X1) ),
inference(subsumption_resolution,[],[f452,f288]) ).
fof(f452,plain,
! [X0,X1] :
( ilf_type(X0,member_type(X1))
| ~ member(X0,X1)
| empty(X1) ),
inference(subsumption_resolution,[],[f277,f133]) ).
fof(f451,plain,
! [X2,X0,X1] : domain(X0,X1,domain_of(sK15(X2,cross_product(X0,X1)))) = domain_of(domain_of(sK15(X2,cross_product(X0,X1)))),
inference(resolution,[],[f449,f268]) ).
fof(f450,plain,
! [X2,X0,X1] : range(X0,X1,domain_of(sK15(X2,cross_product(X0,X1)))) = range_of(domain_of(sK15(X2,cross_product(X0,X1)))),
inference(resolution,[],[f449,f270]) ).
fof(f449,plain,
! [X2,X0,X1] : ilf_type(domain_of(sK15(X0,cross_product(X1,X2))),relation_type(X1,X2)),
inference(resolution,[],[f448,f225]) ).
fof(f448,plain,
! [X0,X1] : ilf_type(domain_of(sK15(X1,X0)),subset_type(X0)),
inference(subsumption_resolution,[],[f446,f276]) ).
fof(f446,plain,
! [X0,X1] :
( ilf_type(domain_of(sK15(X1,X0)),subset_type(X0))
| ~ ilf_type(sK15(X1,X0),relation_type(X0,X1)) ),
inference(superposition,[],[f274,f426]) ).
fof(f447,plain,
ilf_type(domain_of(sK6),subset_type(sK4)),
inference(subsumption_resolution,[],[f445,f130]) ).
fof(f445,plain,
( ilf_type(domain_of(sK6),subset_type(sK4))
| ~ ilf_type(sK6,relation_type(sK4,sK5)) ),
inference(superposition,[],[f274,f425]) ).
fof(f444,plain,
! [X2,X3,X0,X1] :
( ~ ilf_type(X0,relation_type(cross_product(X1,X2),X3))
| ilf_type(domain(cross_product(X1,X2),X3,X0),relation_type(X1,X2)) ),
inference(resolution,[],[f274,f225]) ).
fof(f443,plain,
! [X2,X0,X1] : domain(X0,X1,range_of(sK15(cross_product(X0,X1),X2))) = domain_of(range_of(sK15(cross_product(X0,X1),X2))),
inference(resolution,[],[f441,f268]) ).
fof(f442,plain,
! [X2,X0,X1] : range(X0,X1,range_of(sK15(cross_product(X0,X1),X2))) = range_of(range_of(sK15(cross_product(X0,X1),X2))),
inference(resolution,[],[f441,f270]) ).
fof(f441,plain,
! [X2,X0,X1] : ilf_type(range_of(sK15(cross_product(X0,X1),X2)),relation_type(X0,X1)),
inference(resolution,[],[f440,f225]) ).
fof(f440,plain,
! [X0,X1] : ilf_type(range_of(sK15(X1,X0)),subset_type(X1)),
inference(subsumption_resolution,[],[f438,f276]) ).
fof(f438,plain,
! [X0,X1] :
( ilf_type(range_of(sK15(X1,X0)),subset_type(X1))
| ~ ilf_type(sK15(X1,X0),relation_type(X0,X1)) ),
inference(superposition,[],[f272,f432]) ).
fof(f436,plain,
! [X2,X3,X0,X1] :
( ~ ilf_type(X0,relation_type(X1,cross_product(X2,X3)))
| ilf_type(range(X1,cross_product(X2,X3),X0),relation_type(X2,X3)) ),
inference(resolution,[],[f272,f225]) ).
fof(f432,plain,
! [X0,X1] : range(X0,X1,sK15(X1,X0)) = range_of(sK15(X1,X0)),
inference(resolution,[],[f270,f276]) ).
fof(f434,plain,
! [X0,X1] : range(X0,X1,sK17(power_set(cross_product(X0,X1)))) = range_of(sK17(power_set(cross_product(X0,X1)))),
inference(resolution,[],[f270,f386]) ).
fof(f433,plain,
! [X0,X1] : range(X0,X1,sK16(cross_product(X0,X1))) = range_of(sK16(cross_product(X0,X1))),
inference(resolution,[],[f270,f385]) ).
fof(f426,plain,
! [X0,X1] : domain(X0,X1,sK15(X1,X0)) = domain_of(sK15(X1,X0)),
inference(resolution,[],[f268,f276]) ).
fof(f428,plain,
! [X0,X1] : domain(X0,X1,sK17(power_set(cross_product(X0,X1)))) = domain_of(sK17(power_set(cross_product(X0,X1)))),
inference(resolution,[],[f268,f386]) ).
fof(f427,plain,
! [X0,X1] : domain(X0,X1,sK16(cross_product(X0,X1))) = domain_of(sK16(cross_product(X0,X1))),
inference(resolution,[],[f268,f385]) ).
fof(f424,plain,
! [X0] : sP0(X0,X0),
inference(duplicate_literal_removal,[],[f422]) ).
fof(f422,plain,
! [X0] :
( sP0(X0,X0)
| sP0(X0,X0) ),
inference(resolution,[],[f143,f142]) ).
fof(f423,plain,
! [X0,X1] :
( sP0(power_set(X0),X1)
| ~ empty(ordered_pair(sK7(power_set(X0),X1),sK8(power_set(X0),X1))) ),
inference(resolution,[],[f143,f318]) ).
fof(f418,plain,
! [X0,X1] :
( sP0(X0,identity_relation_of(X1))
| ~ empty(X1) ),
inference(resolution,[],[f412,f288]) ).
fof(f421,plain,
! [X0,X1] :
( sP0(X0,identity_relation_of(sK12(power_set(X1))))
| member(sK7(X0,identity_relation_of(sK12(power_set(X1)))),X1) ),
inference(resolution,[],[f412,f365]) ).
fof(f420,plain,
! [X0,X1] :
( sP0(X0,identity_relation_of(sK9(power_set(X1))))
| member(sK7(X0,identity_relation_of(sK9(power_set(X1)))),X1)
| sP2(power_set(X1)) ),
inference(resolution,[],[f412,f359]) ).
fof(f419,plain,
! [X2,X0,X1] :
( sP0(X0,identity_relation_of(power_set(X1)))
| ~ member(X2,sK7(X0,identity_relation_of(power_set(X1))))
| member(X2,X1) ),
inference(resolution,[],[f412,f248]) ).
fof(f417,plain,
! [X2,X0,X1] :
( sP0(X0,identity_relation_of(X1))
| member(sK7(X0,identity_relation_of(X1)),X2)
| ~ subset(X1,X2) ),
inference(resolution,[],[f412,f239]) ).
fof(f412,plain,
! [X0,X1] :
( member(sK7(X0,identity_relation_of(X1)),X1)
| sP0(X0,identity_relation_of(X1)) ),
inference(resolution,[],[f142,f260]) ).
fof(f411,plain,
! [X0,X1] :
( sP0(X0,X1)
| ~ empty(X1) ),
inference(resolution,[],[f142,f288]) ).
fof(f416,plain,
! [X0,X1] :
( sP0(X0,sK12(power_set(X1)))
| member(ordered_pair(sK7(X0,sK12(power_set(X1))),sK8(X0,sK12(power_set(X1)))),X1) ),
inference(resolution,[],[f142,f365]) ).
fof(f415,plain,
! [X0,X1] :
( sP0(X0,sK9(power_set(X1)))
| member(ordered_pair(sK7(X0,sK9(power_set(X1))),sK8(X0,sK9(power_set(X1)))),X1)
| sP2(power_set(X1)) ),
inference(resolution,[],[f142,f359]) ).
fof(f414,plain,
! [X2,X0,X1] :
( sP0(X0,power_set(X1))
| ~ member(X2,ordered_pair(sK7(X0,power_set(X1)),sK8(X0,power_set(X1))))
| member(X2,X1) ),
inference(resolution,[],[f142,f248]) ).
fof(f413,plain,
! [X0,X1] :
( sP0(X0,identity_relation_of(X1))
| sK7(X0,identity_relation_of(X1)) = sK8(X0,identity_relation_of(X1)) ),
inference(resolution,[],[f142,f257]) ).
fof(f410,plain,
! [X2,X0,X1] :
( sP0(X0,X1)
| member(ordered_pair(sK7(X0,X1),sK8(X0,X1)),X2)
| ~ subset(X1,X2) ),
inference(resolution,[],[f142,f239]) ).
fof(f409,plain,
! [X0,X1] :
( ~ empty(X0)
| sK12(power_set(X0)) = sK12(power_set(sK12(power_set(X1))))
| ~ empty(X1) ),
inference(resolution,[],[f383,f378]) ).
fof(f383,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| sK12(power_set(X0)) = sK12(power_set(X1)) ),
inference(resolution,[],[f381,f378]) ).
fof(f371,plain,
! [X0,X1] :
( ~ subset(X0,sK12(power_set(X1)))
| member(sK12(X0),X1)
| empty(X0) ),
inference(resolution,[],[f365,f314]) ).
fof(f370,plain,
! [X0,X1] :
( ~ subset(X0,sK12(power_set(X1)))
| member(sK9(X0),X1)
| sP2(X0) ),
inference(resolution,[],[f365,f313]) ).
fof(f404,plain,
! [X2,X0,X1] :
( member(sK13(X0,X1),X2)
| sP2(power_set(X2))
| ~ subset(X0,sK9(power_set(X2)))
| subset(X0,X1) ),
inference(resolution,[],[f359,f315]) ).
fof(f403,plain,
! [X0,X1] :
( member(sK12(X0),X1)
| sP2(power_set(X1))
| ~ subset(X0,sK9(power_set(X1)))
| empty(X0) ),
inference(resolution,[],[f359,f314]) ).
fof(f402,plain,
! [X0,X1] :
( member(sK9(X0),X1)
| sP2(power_set(X1))
| ~ subset(X0,sK9(power_set(X1)))
| sP2(X0) ),
inference(resolution,[],[f359,f313]) ).
fof(f401,plain,
! [X0,X1] :
( member(sK14(sK9(power_set(X0)),X1),X0)
| sP2(power_set(X0))
| member(sK9(power_set(X0)),power_set(X1)) ),
inference(resolution,[],[f359,f243]) ).
fof(f400,plain,
! [X0,X1] :
( member(sK13(sK9(power_set(X0)),X1),X0)
| sP2(power_set(X0))
| subset(sK9(power_set(X0)),X1) ),
inference(resolution,[],[f359,f234]) ).
fof(f399,plain,
! [X0] :
( member(sK12(sK12(power_set(sK9(power_set(X0))))),X0)
| sP2(power_set(X0))
| empty(sK12(power_set(sK9(power_set(X0))))) ),
inference(resolution,[],[f359,f367]) ).
fof(f398,plain,
! [X0] :
( member(sK12(sK9(power_set(X0))),X0)
| sP2(power_set(X0))
| empty(sK9(power_set(X0))) ),
inference(resolution,[],[f359,f213]) ).
fof(f397,plain,
! [X0] :
( member(sK9(sK12(power_set(sK9(power_set(X0))))),X0)
| sP2(power_set(X0))
| sP2(sK12(power_set(sK9(power_set(X0))))) ),
inference(resolution,[],[f359,f366]) ).
fof(f396,plain,
! [X0] :
( member(sK9(sK9(power_set(X0))),X0)
| sP2(power_set(X0))
| sP2(sK9(power_set(X0))) ),
inference(resolution,[],[f359,f155]) ).
fof(f359,plain,
! [X0,X1] :
( ~ member(X0,sK9(power_set(X1)))
| member(X0,X1)
| sP2(power_set(X1)) ),
inference(resolution,[],[f248,f155]) ).
fof(f389,plain,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| subset(X0,X2)
| ~ empty(X1) ),
inference(resolution,[],[f315,f288]) ).
fof(f391,plain,
! [X2,X0,X1] :
( ~ subset(X0,sK12(power_set(X1)))
| subset(X0,X2)
| member(sK13(X0,X2),X1) ),
inference(resolution,[],[f315,f365]) ).
fof(f390,plain,
! [X2,X3,X0,X1] :
( ~ subset(X0,power_set(X1))
| subset(X0,X2)
| ~ member(X3,sK13(X0,X2))
| member(X3,X1) ),
inference(resolution,[],[f315,f248]) ).
fof(f388,plain,
! [X2,X3,X0,X1] :
( ~ subset(X0,X1)
| subset(X0,X2)
| member(sK13(X0,X2),X3)
| ~ subset(X1,X3) ),
inference(resolution,[],[f315,f239]) ).
fof(f315,plain,
! [X2,X0,X1] :
( member(sK13(X0,X1),X2)
| ~ subset(X0,X2)
| subset(X0,X1) ),
inference(resolution,[],[f239,f234]) ).
fof(f386,plain,
! [X0,X1] : ilf_type(sK17(power_set(cross_product(X0,X1))),relation_type(X0,X1)),
inference(resolution,[],[f225,f329]) ).
fof(f385,plain,
! [X0,X1] : ilf_type(sK16(cross_product(X0,X1)),relation_type(X0,X1)),
inference(resolution,[],[f225,f279]) ).
fof(f381,plain,
! [X0,X1] :
( ~ empty(X1)
| sK12(power_set(X0)) = X1
| ~ empty(X0) ),
inference(resolution,[],[f378,f311]) ).
fof(f378,plain,
! [X0] :
( empty(sK12(power_set(X0)))
| ~ empty(X0) ),
inference(resolution,[],[f367,f288]) ).
fof(f380,plain,
! [X0] :
( empty(sK12(power_set(sK12(power_set(X0)))))
| member(sK12(sK12(power_set(sK12(power_set(X0))))),X0) ),
inference(resolution,[],[f367,f365]) ).
fof(f379,plain,
! [X0,X1] :
( empty(sK12(power_set(power_set(X0))))
| ~ member(X1,sK12(sK12(power_set(power_set(X0)))))
| member(X1,X0) ),
inference(resolution,[],[f367,f248]) ).
fof(f377,plain,
! [X0,X1] :
( empty(sK12(power_set(X0)))
| member(sK12(sK12(power_set(X0))),X1)
| ~ subset(X0,X1) ),
inference(resolution,[],[f367,f239]) ).
fof(f367,plain,
! [X0] :
( member(sK12(sK12(power_set(X0))),X0)
| empty(sK12(power_set(X0))) ),
inference(resolution,[],[f365,f213]) ).
fof(f376,plain,
! [X0] :
( relation_like(sK12(power_set(X0)))
| ~ empty(X0) ),
inference(resolution,[],[f373,f286]) ).
fof(f373,plain,
! [X0] :
( sP2(sK12(power_set(X0)))
| ~ empty(X0) ),
inference(resolution,[],[f366,f288]) ).
fof(f375,plain,
! [X0] :
( sP2(sK12(power_set(sK12(power_set(X0)))))
| member(sK9(sK12(power_set(sK12(power_set(X0))))),X0) ),
inference(resolution,[],[f366,f365]) ).
fof(f374,plain,
! [X0,X1] :
( sP2(sK12(power_set(power_set(X0))))
| ~ member(X1,sK9(sK12(power_set(power_set(X0)))))
| member(X1,X0) ),
inference(resolution,[],[f366,f248]) ).
fof(f372,plain,
! [X0,X1] :
( sP2(sK12(power_set(X0)))
| member(sK9(sK12(power_set(X0))),X1)
| ~ subset(X0,X1) ),
inference(resolution,[],[f366,f239]) ).
fof(f366,plain,
! [X0] :
( member(sK9(sK12(power_set(X0))),X0)
| sP2(sK12(power_set(X0))) ),
inference(resolution,[],[f365,f155]) ).
fof(f325,plain,
! [X0,X1] :
( ~ empty(sK14(X0,power_set(X1)))
| member(X0,power_set(power_set(X1))) ),
inference(resolution,[],[f318,f241]) ).
fof(f369,plain,
! [X0,X1] :
( member(sK14(sK12(power_set(X0)),X1),X0)
| member(sK12(power_set(X0)),power_set(X1)) ),
inference(resolution,[],[f365,f243]) ).
fof(f368,plain,
! [X0,X1] :
( member(sK13(sK12(power_set(X0)),X1),X0)
| subset(sK12(power_set(X0)),X1) ),
inference(resolution,[],[f365,f234]) ).
fof(f365,plain,
! [X0,X1] :
( ~ member(X0,sK12(power_set(X1)))
| member(X0,X1) ),
inference(subsumption_resolution,[],[f360,f211]) ).
fof(f360,plain,
! [X0,X1] :
( ~ member(X0,sK12(power_set(X1)))
| member(X0,X1)
| empty(power_set(X1)) ),
inference(resolution,[],[f248,f213]) ).
fof(f364,plain,
! [X2,X0,X1] :
( ~ member(X0,sK12(X1))
| member(X0,X2)
| ~ subset(X1,power_set(X2))
| empty(X1) ),
inference(resolution,[],[f248,f314]) ).
fof(f363,plain,
! [X2,X0,X1] :
( ~ member(X0,sK9(X1))
| member(X0,X2)
| ~ subset(X1,power_set(X2))
| sP2(X1) ),
inference(resolution,[],[f248,f313]) ).
fof(f362,plain,
! [X2,X0,X1] :
( ~ member(X0,sK14(power_set(X1),X2))
| member(X0,X1)
| member(power_set(X1),power_set(X2)) ),
inference(resolution,[],[f248,f243]) ).
fof(f361,plain,
! [X2,X0,X1] :
( ~ member(X0,sK13(power_set(X1),X2))
| member(X0,X1)
| subset(power_set(X1),X2) ),
inference(resolution,[],[f248,f234]) ).
fof(f324,plain,
! [X0,X1] :
( ~ empty(sK13(X0,power_set(X1)))
| subset(X0,power_set(X1)) ),
inference(resolution,[],[f318,f232]) ).
fof(f322,plain,
! [X2,X0,X1] :
( ~ subset(power_set(X2),X1)
| member(X0,X1)
| ~ empty(X0) ),
inference(resolution,[],[f318,f239]) ).
fof(f341,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f314,f288]) ).
fof(f340,plain,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| empty(X0)
| member(sK12(X0),X2)
| ~ subset(X1,X2) ),
inference(resolution,[],[f314,f239]) ).
fof(f314,plain,
! [X0,X1] :
( member(sK12(X0),X1)
| ~ subset(X0,X1)
| empty(X0) ),
inference(resolution,[],[f239,f213]) ).
fof(f336,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| sP2(X0)
| ~ empty(X1) ),
inference(resolution,[],[f313,f288]) ).
fof(f335,plain,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| sP2(X0)
| member(sK9(X0),X2)
| ~ subset(X1,X2) ),
inference(resolution,[],[f313,f239]) ).
fof(f332,plain,
! [X0,X1] :
( ~ empty(identity_relation_of(X1))
| ~ member(X0,X1) ),
inference(resolution,[],[f254,f288]) ).
fof(f331,plain,
! [X2,X0,X1] :
( ~ subset(identity_relation_of(X1),X2)
| member(ordered_pair(X0,X0),X2)
| ~ member(X0,X1) ),
inference(resolution,[],[f254,f239]) ).
fof(f329,plain,
! [X0] : ilf_type(sK17(power_set(X0)),subset_type(X0)),
inference(subsumption_resolution,[],[f328,f211]) ).
fof(f328,plain,
! [X0] :
( ilf_type(sK17(power_set(X0)),subset_type(X0))
| empty(power_set(X0)) ),
inference(resolution,[],[f250,f280]) ).
fof(f320,plain,
! [X0,X1] :
( ~ subset(power_set(X0),X1)
| member(X0,X1) ),
inference(resolution,[],[f319,f239]) ).
fof(f318,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ~ empty(X0) ),
inference(resolution,[],[f243,f288]) ).
fof(f319,plain,
! [X0] : member(X0,power_set(X0)),
inference(duplicate_literal_removal,[],[f316]) ).
fof(f316,plain,
! [X0] :
( member(X0,power_set(X0))
| member(X0,power_set(X0)) ),
inference(resolution,[],[f243,f241]) ).
fof(f317,plain,
! [X2,X0,X1] :
( member(sK14(X0,X1),X2)
| member(X0,power_set(X1))
| ~ subset(X0,X2) ),
inference(resolution,[],[f243,f239]) ).
fof(f311,plain,
! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) ),
inference(resolution,[],[f298,f293]) ).
fof(f298,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| X0 = X1
| ~ empty(X1) ),
inference(resolution,[],[f227,f293]) ).
fof(f299,plain,
( identity_relation_of(sK5) = sK6
| ~ subset(sK6,identity_relation_of(sK5)) ),
inference(resolution,[],[f227,f131]) ).
fof(f296,plain,
! [X0,X1] :
( sP0(X0,X1)
| ~ ilf_type(X1,binary_relation_type)
| ~ subset(X1,X0)
| ~ ilf_type(X0,binary_relation_type) ),
inference(resolution,[],[f144,f137]) ).
fof(f295,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X0,binary_relation_type)
| subset(X1,X0) ),
inference(resolution,[],[f144,f138]) ).
fof(f289,plain,
! [X0] :
( sP2(X0)
| ~ empty(X0) ),
inference(resolution,[],[f288,f155]) ).
fof(f280,plain,
! [X0] :
( ilf_type(sK17(X0),member_type(X0))
| empty(X0) ),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158,f215,f205,f216,f161,f217,f164,f218,f219,f165,f220,f221,f167,f222,f223,f166,f224,f225,f168,f226,f227,f171,f228,f204,f229,f203,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f172,f237,f238,f239,f179,f240,f241,f178,f242,f243,f177,f244,f245,f176,f246,f247,f248,f181,f249,f250,f180,f251,f252,f202,f253,f254,f183,f255,f256,f257,f182,f258,f259,f260,f186,f261,f262,f263,f185,f264,f265,f266,f187,f267,f268,f188,f269,f270,f189,f271,f272,f190,f273,f274,f191,f192,f275,f276,f194,f277,f193,f278,f195,f279,f196]) ).
fof(f279,plain,
! [X0] : ilf_type(sK16(X0),subset_type(X0)),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158,f215,f205,f216,f161,f217,f164,f218,f219,f165,f220,f221,f167,f222,f223,f166,f224,f225,f168,f226,f227,f171,f228,f204,f229,f203,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f172,f237,f238,f239,f179,f240,f241,f178,f242,f243,f177,f244,f245,f176,f246,f247,f248,f181,f249,f250,f180,f251,f252,f202,f253,f254,f183,f255,f256,f257,f182,f258,f259,f260,f186,f261,f262,f263,f185,f264,f265,f266,f187,f267,f268,f188,f269,f270,f189,f271,f272,f190,f273,f274,f191,f192,f275,f276,f194,f277,f193,f278,f195]) ).
fof(f283,plain,
! [X0] : relation_like(identity_relation_of(X0)),
inference(resolution,[],[f217,f209]) ).
fof(f282,plain,
relation_like(sK18),
inference(resolution,[],[f217,f198]) ).
fof(f281,plain,
! [X0] :
( ~ empty(X0)
| relation_like(X0) ),
inference(global_subsumption,[],[f132,f131,f130,f129,f128,f133,f134,f135,f136,f138,f137,f143,f142,f141,f140,f139,f206,f207,f144,f145,f208,f146,f209,f148,f210,f147,f211,f150,f149,f156,f155,f154,f153,f152,f151,f157,f212,f160,f213,f159,f214,f158,f215,f205,f216,f161,f217,f164,f218,f219,f165,f220,f221,f167,f222,f223,f166,f224,f225,f168,f226,f227,f171,f228,f204,f229,f203,f230,f175,f231,f232,f174,f233,f234,f173,f235,f236,f172,f237,f238,f239,f179,f240,f241,f178,f242,f243,f177,f244,f245,f176,f246,f247,f248,f181,f249,f250,f180,f251,f252,f202,f253,f254,f183,f255,f256,f257,f182,f258,f259,f260,f186,f261,f262,f263,f185,f264,f265,f266,f187,f267,f268,f188,f269,f270,f189,f271,f272,f190,f273,f274,f191,f192,f275,f276,f194,f277,f193,f278,f195,f279,f196,f280,f197]) ).
fof(f198,plain,
ilf_type(sK18,binary_relation_type),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
ilf_type(sK18,binary_relation_type),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f15,f126]) ).
fof(f126,plain,
( ? [X0] : ilf_type(X0,binary_relation_type)
=> ilf_type(sK18,binary_relation_type) ),
introduced(choice_axiom,[]) ).
fof(f15,axiom,
? [X0] : ilf_type(X0,binary_relation_type),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15) ).
fof(f197,plain,
! [X0] :
( relation_like(X0)
| ~ ilf_type(X0,set_type)
| ~ empty(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0] :
( relation_like(X0)
| ~ ilf_type(X0,set_type)
| ~ empty(X0) ),
inference(flattening,[],[f75]) ).
fof(f75,plain,
! [X0] :
( relation_like(X0)
| ~ ilf_type(X0,set_type)
| ~ empty(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0] :
( ( ilf_type(X0,set_type)
& empty(X0) )
=> relation_like(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p27) ).
fof(f196,plain,
! [X0] :
( ilf_type(sK17(X0),member_type(X0))
| ~ ilf_type(X0,set_type)
| empty(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0] :
( ilf_type(sK17(X0),member_type(X0))
| ~ ilf_type(X0,set_type)
| empty(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f74,f124]) ).
fof(f124,plain,
! [X0] :
( ? [X1] : ilf_type(X1,member_type(X0))
=> ilf_type(sK17(X0),member_type(X0)) ),
introduced(choice_axiom,[]) ).
fof(f74,plain,
! [X0] :
( ? [X1] : ilf_type(X1,member_type(X0))
| ~ ilf_type(X0,set_type)
| empty(X0) ),
inference(flattening,[],[f73]) ).
fof(f73,plain,
! [X0] :
( ? [X1] : ilf_type(X1,member_type(X0))
| ~ ilf_type(X0,set_type)
| empty(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0] :
( ( ilf_type(X0,set_type)
& ~ empty(X0) )
=> ? [X1] : ilf_type(X1,member_type(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23) ).
fof(f195,plain,
! [X0] :
( ilf_type(sK16(X0),subset_type(X0))
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0] :
( ilf_type(sK16(X0),subset_type(X0))
| ~ ilf_type(X0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f72,f122]) ).
fof(f122,plain,
! [X0] :
( ? [X1] : ilf_type(X1,subset_type(X0))
=> ilf_type(sK16(X0),subset_type(X0)) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
! [X0] :
( ? [X1] : ilf_type(X1,subset_type(X0))
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ? [X1] : ilf_type(X1,subset_type(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17) ).
fof(f882,plain,
( spl19_4
| ~ spl19_7
| ~ spl19_11 ),
inference(avatar_contradiction_clause,[],[f881]) ).
fof(f881,plain,
( $false
| spl19_4
| ~ spl19_7
| ~ spl19_11 ),
inference(global_subsumption,[],[f134,f135,f136,f141,f140,f139,f206,f145,f146,f148,f210,f147,f150,f149,f156,f154,f153,f152,f151,f157,f160,f159,f214,f158,f215,f205,f161,f164,f218,f219,f165,f220,f221,f167,f222,f166,f224,f168,f226,f171,f228,f204,f229,f203,f230,f175,f231,f174,f233,f173,f235,f236,f172,f237,f238,f179,f240,f178,f242,f177,f244,f245,f176,f246,f247,f181,f249,f180,f251,f202,f253,f183,f255,f256,f182,f258,f259,f186,f261,f262,f185,f264,f265,f266,f187,f267,f188,f269,f189,f271,f190,f273,f191,f192,f275,f194,f277,f193,f278,f195,f196,f197,f212,f128,f129,f133,f198,f208,f211,f131,f130,f209,f281,f216,f217,f282,f283,f279,f285,f286,f155,f213,f276,f280,f288,f289,f232,f234,f293,f137,f138,f144,f295,f296,f227,f299,f298,f311,f239,f241,f243,f317,f319,f318,f320,f250,f329,f252,f254,f331,f332,f257,f260,f313,f335,f336,f314,f340,f341,f322,f132,f354,f324,f248,f361,f362,f363,f364,f365,f368,f369,f325,f366,f372,f374,f375,f373,f376,f367,f377,f379,f380,f223,f378,f381,f225,f385,f386,f315,f388,f390,f391,f389,f359,f396,f397,f398,f399,f400,f401,f402,f403,f404,f370,f371,f383,f409,f142,f410,f413,f414,f415,f416,f411,f412,f417,f419,f420,f421,f418,f143,f423,f424,f268,f427,f428,f425,f426,f270,f433,f434,f431,f435,f432,f272,f436,f439,f440,f441,f442,f443,f274,f444,f447,f448,f449,f450,f451,f453,f454,f458,f460,f461,f462,f463,f464,f465,f466,f467,f455,f456,f468,f469,f472,f473,f470,f457,f476,f471,f477,f478,f474,f479,f475,f480,f481,f485,f491,f486,f496,f497,f499,f500,f493,f501,f502,f503,f504,f505,f506,f507,f508,f509,f510,f511,f512,f487,f513,f515,f516,f517,f518,f519,f492,f520,f522,f523,f524,f525,f526,f495,f528,f529,f534,f535,f537,f538,f541,f543,f545,f546,f547,f548,f549,f553,f539,f555,f557,f558,f559,f560,f561,f562,f563,f564,f565,f566,f567,f540,f207,f578,f579,f580,f581,f582,f542,f587,f595,f597,f600,f554,f556,f618,f625,f626,f627,f628,f629,f630,f632,f633,f640,f634,f645,f647,f648,f649,f651,f652,f653,f654,f655,f656,f657,f614,f596,f658,f661,f659,f593,f678,f594,f679,f532,f682,f683,f684,f685,f686,f687,f688,f689,f690,f691,f692,f693,f694,f695,f544,f699,f701,f702,f700,f706,f550,f726,f551,f729,f732,f552,f733,f697,f737,f739,f743,f736,f741,f742,f740,f735,f748,f749,f750,f752,f738,f744,f757,f762,f764,f758,f772,f759,f776,f779,f760,f780,f755,f787,f788,f789,f790,f791,f792,f793,f794,f796,f797,f798,f799,f800,f801,f802,f804,f805,f806,f808,f809,f810,f811,f815,f813,f814,f812,f837,f263,f853,f854,f855,f856,f857,f858,f859,f860,f866,f863,f865,f870,f869,f781,f777,f773,f876,f765,f763]) ).
fof(f880,plain,
( spl19_4
| ~ spl19_7
| ~ spl19_11 ),
inference(avatar_contradiction_clause,[],[f879]) ).
fof(f879,plain,
( $false
| spl19_4
| ~ spl19_7
| ~ spl19_11 ),
inference(global_subsumption,[],[f134,f135,f136,f141,f140,f139,f206,f145,f146,f148,f210,f147,f150,f149,f156,f154,f153,f152,f151,f157,f160,f159,f214,f158,f215,f205,f161,f164,f218,f219,f165,f220,f221,f167,f222,f166,f224,f168,f226,f171,f228,f204,f229,f203,f230,f175,f231,f174,f233,f173,f235,f236,f172,f237,f238,f179,f240,f178,f242,f177,f244,f245,f176,f246,f247,f181,f249,f180,f251,f202,f253,f183,f255,f256,f182,f258,f259,f186,f261,f262,f185,f264,f265,f266,f187,f267,f188,f269,f189,f271,f190,f273,f191,f192,f275,f194,f277,f193,f278,f195,f196,f197,f212,f128,f129,f133,f198,f208,f211,f131,f130,f209,f281,f216,f217,f282,f283,f279,f285,f286,f155,f213,f276,f280,f288,f289,f232,f234,f293,f137,f138,f144,f295,f296,f227,f299,f298,f311,f239,f241,f243,f317,f319,f318,f320,f250,f329,f252,f254,f331,f332,f257,f260,f313,f335,f336,f314,f340,f341,f322,f132,f354,f324,f248,f361,f362,f363,f364,f365,f368,f369,f325,f366,f372,f374,f375,f373,f376,f367,f377,f379,f380,f223,f378,f381,f225,f385,f386,f315,f388,f390,f391,f389,f359,f396,f397,f398,f399,f400,f401,f402,f403,f404,f370,f371,f383,f409,f142,f410,f413,f414,f415,f416,f411,f412,f417,f419,f420,f421,f418,f143,f423,f424,f268,f427,f428,f425,f426,f270,f433,f434,f431,f435,f432,f272,f436,f439,f440,f441,f442,f443,f274,f444,f447,f448,f449,f450,f451,f453,f454,f458,f460,f461,f462,f463,f464,f465,f466,f467,f455,f456,f468,f469,f472,f473,f470,f457,f476,f471,f477,f478,f474,f479,f475,f480,f481,f485,f491,f486,f496,f497,f499,f500,f493,f501,f502,f503,f504,f505,f506,f507,f508,f509,f510,f511,f512,f487,f513,f515,f516,f517,f518,f519,f492,f520,f522,f523,f524,f525,f526,f495,f528,f529,f534,f535,f537,f538,f541,f543,f545,f546,f547,f548,f549,f553,f539,f555,f557,f558,f559,f560,f561,f562,f563,f564,f565,f566,f567,f540,f207,f578,f579,f580,f581,f582,f542,f587,f595,f597,f600,f554,f556,f618,f625,f626,f627,f628,f629,f630,f632,f633,f640,f634,f645,f647,f648,f649,f651,f652,f653,f654,f655,f656,f657,f614,f596,f658,f661,f659,f593,f678,f594,f679,f532,f682,f683,f684,f685,f686,f687,f688,f689,f690,f691,f692,f693,f694,f695,f544,f699,f701,f702,f700,f706,f550,f726,f551,f729,f732,f552,f733,f697,f737,f739,f743,f736,f741,f742,f740,f735,f748,f749,f750,f752,f738,f744,f757,f762,f764,f758,f772,f759,f776,f779,f760,f780,f755,f787,f788,f789,f790,f791,f792,f793,f794,f796,f797,f798,f799,f800,f801,f802,f804,f805,f806,f808,f809,f810,f811,f815,f813,f814,f812,f837,f263,f853,f854,f855,f856,f857,f858,f859,f860,f866,f863,f865,f870,f869,f781,f777,f773,f876,f765]) ).
fof(f878,plain,
( spl19_4
| ~ spl19_7
| ~ spl19_11 ),
inference(avatar_contradiction_clause,[],[f877]) ).
fof(f877,plain,
( $false
| spl19_4
| ~ spl19_7
| ~ spl19_11 ),
inference(global_subsumption,[],[f134,f135,f136,f141,f140,f139,f206,f145,f146,f148,f210,f147,f150,f149,f156,f154,f153,f152,f151,f157,f160,f159,f214,f158,f215,f205,f161,f164,f218,f219,f165,f220,f221,f167,f222,f166,f224,f168,f226,f171,f228,f204,f229,f203,f230,f175,f231,f174,f233,f173,f235,f236,f172,f237,f238,f179,f240,f178,f242,f177,f244,f245,f176,f246,f247,f181,f249,f180,f251,f202,f253,f183,f255,f256,f182,f258,f259,f186,f261,f262,f185,f264,f265,f266,f187,f267,f188,f269,f189,f271,f190,f273,f191,f192,f275,f194,f277,f193,f278,f195,f196,f197,f212,f128,f129,f133,f198,f208,f211,f131,f130,f209,f281,f216,f217,f282,f283,f279,f285,f286,f155,f213,f276,f280,f288,f289,f232,f234,f293,f137,f138,f144,f295,f296,f227,f299,f298,f311,f239,f241,f243,f317,f319,f318,f320,f250,f329,f252,f254,f331,f332,f257,f260,f313,f335,f336,f314,f340,f341,f322,f132,f354,f324,f248,f361,f362,f363,f364,f365,f368,f369,f325,f366,f372,f374,f375,f373,f376,f367,f377,f379,f380,f223,f378,f381,f225,f385,f386,f315,f388,f390,f391,f389,f359,f396,f397,f398,f399,f400,f401,f402,f403,f404,f370,f371,f383,f409,f142,f410,f413,f414,f415,f416,f411,f412,f417,f419,f420,f421,f418,f143,f423,f424,f268,f427,f428,f425,f426,f270,f433,f434,f431,f435,f432,f272,f436,f439,f440,f441,f442,f443,f274,f444,f447,f448,f449,f450,f451,f453,f454,f458,f460,f461,f462,f463,f464,f465,f466,f467,f455,f456,f468,f469,f472,f473,f470,f457,f476,f471,f477,f478,f474,f479,f475,f480,f481,f485,f491,f486,f496,f497,f499,f500,f493,f501,f502,f503,f504,f505,f506,f507,f508,f509,f510,f511,f512,f487,f513,f515,f516,f517,f518,f519,f492,f520,f522,f523,f524,f525,f526,f495,f528,f529,f534,f535,f537,f538,f541,f543,f545,f546,f547,f548,f549,f553,f539,f555,f557,f558,f559,f560,f561,f562,f563,f564,f565,f566,f567,f540,f207,f578,f579,f580,f581,f582,f542,f587,f595,f597,f600,f554,f556,f618,f625,f626,f627,f628,f629,f630,f632,f633,f640,f634,f645,f647,f648,f649,f651,f652,f653,f654,f655,f656,f657,f614,f596,f658,f661,f659,f593,f678,f594,f679,f532,f682,f683,f684,f685,f686,f687,f688,f689,f690,f691,f692,f693,f694,f695,f544,f699,f701,f702,f700,f706,f550,f726,f551,f729,f732,f552,f733,f697,f737,f739,f743,f736,f741,f742,f740,f735,f748,f749,f750,f752,f738,f744,f757,f762,f764,f758,f772,f759,f776,f779,f760,f780,f755,f787,f788,f789,f790,f791,f792,f793,f794,f796,f797,f798,f799,f800,f801,f802,f804,f805,f806,f808,f809,f810,f811,f815,f813,f814,f812,f837,f263,f853,f854,f855,f856,f857,f858,f859,f860,f866,f863,f865,f870,f869,f781,f777,f773,f876]) ).
fof(f872,plain,
( spl19_3
| ~ spl19_7
| ~ spl19_11 ),
inference(avatar_contradiction_clause,[],[f871]) ).
fof(f871,plain,
( $false
| spl19_3
| ~ spl19_7
| ~ spl19_11 ),
inference(subsumption_resolution,[],[f869,f429]) ).
fof(f429,plain,
( ~ subset(sK5,domain_of(sK6))
| spl19_3 ),
inference(superposition,[],[f350,f425]) ).
fof(f852,plain,
spl19_21,
inference(avatar_contradiction_clause,[],[f851]) ).
fof(f851,plain,
( $false
| spl19_21 ),
inference(subsumption_resolution,[],[f850,f750]) ).
fof(f850,plain,
( ~ relation_like(sK6)
| spl19_21 ),
inference(resolution,[],[f847,f285]) ).
fof(f847,plain,
( ~ sP2(sK6)
| spl19_21 ),
inference(avatar_component_clause,[],[f845]) ).
fof(f845,plain,
( spl19_21
<=> sP2(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_21])]) ).
fof(f848,plain,
( spl19_20
| ~ spl19_21 ),
inference(avatar_split_clause,[],[f837,f845,f841]) ).
fof(f841,plain,
( spl19_20
<=> sP2(identity_relation_of(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_20])]) ).
fof(f832,plain,
( spl19_17
| ~ spl19_19
| ~ spl19_7
| ~ spl19_11 ),
inference(avatar_split_clause,[],[f814,f616,f585,f829,f819]) ).
fof(f819,plain,
( spl19_17
<=> ! [X0] :
( ~ subset(X0,domain_of(sK6))
| sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_17])]) ).
fof(f825,plain,
( spl19_17
| ~ spl19_18 ),
inference(avatar_split_clause,[],[f813,f822,f819]) ).
fof(f822,plain,
( spl19_18
<=> sP2(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_18])]) ).
fof(f723,plain,
( ~ spl19_15
| spl19_16 ),
inference(avatar_split_clause,[],[f706,f720,f716]) ).
fof(f716,plain,
( spl19_15
<=> subset(sK4,domain_of(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_15])]) ).
fof(f720,plain,
( spl19_16
<=> sK4 = domain_of(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_16])]) ).
fof(f714,plain,
( ~ spl19_13
| spl19_14 ),
inference(avatar_split_clause,[],[f700,f712,f708]) ).
fof(f708,plain,
( spl19_13
<=> empty(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_13])]) ).
fof(f712,plain,
( spl19_14
<=> ! [X0] : subset(domain_of(sK6),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_14])]) ).
fof(f623,plain,
( spl19_11
| spl19_12 ),
inference(avatar_split_clause,[],[f556,f620,f616]) ).
fof(f620,plain,
( spl19_12
<=> member(sK12(range_of(sK6)),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_12])]) ).
fof(f610,plain,
( spl19_9
| spl19_10 ),
inference(avatar_split_clause,[],[f554,f607,f603]) ).
fof(f607,plain,
( spl19_10
<=> member(sK9(range_of(sK6)),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_10])]) ).
fof(f592,plain,
( spl19_7
| spl19_8 ),
inference(avatar_split_clause,[],[f542,f589,f585]) ).
fof(f576,plain,
( spl19_5
| spl19_6 ),
inference(avatar_split_clause,[],[f540,f573,f569]) ).
fof(f573,plain,
( spl19_6
<=> member(sK9(domain_of(sK6)),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_6])]) ).
fof(f355,plain,
( ~ spl19_3
| ~ spl19_4 ),
inference(avatar_split_clause,[],[f132,f352,f348]) ).
fof(f308,plain,
( ~ spl19_1
| spl19_2 ),
inference(avatar_split_clause,[],[f299,f305,f301]) ).
fof(f301,plain,
( spl19_1
<=> subset(sK6,identity_relation_of(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_1])]) ).
fof(f305,plain,
( spl19_2
<=> identity_relation_of(sK5) = sK6 ),
introduced(avatar_definition,[new_symbols(naming,[spl19_2])]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : SET669+3 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.16 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.37 % Computer : n009.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Fri May 3 16:40:08 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.14/0.38 % (22034)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.39 % (22040)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)
% 0.14/0.39 % (22037)WARNING: value z3 for option sas not known
% 0.14/0.39 % (22038)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.39 % (22041)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)
% 0.14/0.39 % (22037)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)
% 0.14/0.39 % (22039)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)
% 0.14/0.39 % (22036)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.40 % (22035)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.40 TRYING [1]
% 0.22/0.40 TRYING [2]
% 0.22/0.41 TRYING [3]
% 0.22/0.42 TRYING [1]
% 0.22/0.42 TRYING [4]
% 0.22/0.43 TRYING [2]
% 0.22/0.44 % (22037)First to succeed.
% 0.22/0.45 % (22037)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-22034"
% 0.22/0.46 % (22037)Refutation found. Thanks to Tanya!
% 0.22/0.46 % SZS status Theorem for theBenchmark
% 0.22/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.46 % (22037)------------------------------
% 0.22/0.46 % (22037)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.46 % (22037)Termination reason: Refutation
% 0.22/0.46
% 0.22/0.46 % (22037)Memory used [KB]: 1625
% 0.22/0.46 % (22037)Time elapsed: 0.060 s
% 0.22/0.46 % (22037)Instructions burned: 109 (million)
% 0.22/0.46 % (22034)Success in time 0.08 s
%------------------------------------------------------------------------------