TSTP Solution File: SET678+3 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET678+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 : n014.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 09:16:37 EDT 2024
% Result : Theorem 0.22s 0.43s
% Output : Refutation 0.22s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
fof(f927,plain,
$false,
inference(avatar_sat_refutation,[],[f358,f442,f445,f594,f605,f622,f633,f673,f725,f730,f754,f759,f921,f926]) ).
fof(f926,plain,
( spl20_2
| ~ spl20_3
| ~ spl20_4 ),
inference(avatar_contradiction_clause,[],[f925]) ).
fof(f925,plain,
( $false
| spl20_2
| ~ spl20_3
| ~ spl20_4 ),
inference(subsumption_resolution,[],[f924,f919]) ).
fof(f919,plain,
( relation_like(sK5)
| ~ spl20_3 ),
inference(resolution,[],[f897,f436]) ).
fof(f436,plain,
( ilf_type(sK5,relation_type(sK4,sK4))
| ~ spl20_3 ),
inference(avatar_component_clause,[],[f435]) ).
fof(f435,plain,
( spl20_3
<=> ilf_type(sK5,relation_type(sK4,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_3])]) ).
fof(f897,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,relation_type(X1,X2))
| relation_like(X0) ),
inference(resolution,[],[f820,f247]) ).
fof(f247,plain,
! [X2,X0,X1] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182,f239,f185,f240,f186,f241,f187,f242,f243,f188,f244,f245,f190,f246]) ).
fof(f246,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,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182,f239,f185,f240,f186,f241,f187,f242,f243,f188,f244,f245,f190]) ).
fof(f190,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,[],[f64]) ).
fof(f64,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,[],[f41]) ).
fof(f41,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,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ! [X3] :
( ilf_type(X3,relation_type(X0,X1))
=> ilf_type(X3,subset_type(cross_product(X0,X1))) )
& ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
=> ilf_type(X2,relation_type(X0,X1)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15) ).
fof(f245,plain,
! [X0,X1] : ilf_type(ordered_pair(X0,X1),set_type),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182,f239,f185,f240,f186,f241,f187,f242,f243,f188,f244]) ).
fof(f244,plain,
! [X0,X1] :
( ilf_type(ordered_pair(X0,X1),set_type)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182,f239,f185,f240,f186,f241,f187,f242,f243,f188]) ).
fof(f188,plain,
! [X0,X1] :
( ilf_type(ordered_pair(X0,X1),set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0] :
( ! [X1] :
( ilf_type(ordered_pair(X0,X1),set_type)
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ilf_type(ordered_pair(X0,X1),set_type) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12) ).
fof(f243,plain,
! [X0,X1] : ilf_type(cross_product(X0,X1),set_type),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182,f239,f185,f240,f186,f241,f187,f242]) ).
fof(f242,plain,
! [X0,X1] :
( ilf_type(cross_product(X0,X1),set_type)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182,f239,f185,f240,f186,f241,f187]) ).
fof(f187,plain,
! [X0,X1] :
( ilf_type(cross_product(X0,X1),set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0] :
( ! [X1] :
( ilf_type(cross_product(X0,X1),set_type)
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ilf_type(cross_product(X0,X1),set_type) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21) ).
fof(f241,plain,
! [X0,X1] :
( ~ subset(domain_of(X1),X0)
| compose(identity_relation_of(X0),X1) = X1
| ~ ilf_type(X1,binary_relation_type) ),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182,f239,f185,f240,f186]) ).
fof(f186,plain,
! [X0,X1] :
( compose(identity_relation_of(X0),X1) = X1
| ~ subset(domain_of(X1),X0)
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0] :
( ! [X1] :
( compose(identity_relation_of(X0),X1) = X1
| ~ subset(domain_of(X1),X0)
| ~ ilf_type(X1,binary_relation_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f60]) ).
fof(f60,plain,
! [X0] :
( ! [X1] :
( compose(identity_relation_of(X0),X1) = X1
| ~ subset(domain_of(X1),X0)
| ~ ilf_type(X1,binary_relation_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,binary_relation_type)
=> ( subset(domain_of(X1),X0)
=> compose(identity_relation_of(X0),X1) = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
fof(f240,plain,
! [X0,X1] :
( ~ subset(range_of(X1),X0)
| compose(X1,identity_relation_of(X0)) = X1
| ~ ilf_type(X1,binary_relation_type) ),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182,f239,f185]) ).
fof(f185,plain,
! [X0,X1] :
( compose(X1,identity_relation_of(X0)) = X1
| ~ subset(range_of(X1),X0)
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0] :
( ! [X1] :
( compose(X1,identity_relation_of(X0)) = X1
| ~ subset(range_of(X1),X0)
| ~ ilf_type(X1,binary_relation_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f58]) ).
fof(f58,plain,
! [X0] :
( ! [X1] :
( compose(X1,identity_relation_of(X0)) = X1
| ~ subset(range_of(X1),X0)
| ~ ilf_type(X1,binary_relation_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,binary_relation_type)
=> ( subset(range_of(X1),X0)
=> compose(X1,identity_relation_of(X0)) = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2) ).
fof(f239,plain,
! [X0] :
( ~ ilf_type(X0,binary_relation_type)
| relation_like(X0) ),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182]) ).
fof(f182,plain,
! [X0] :
( relation_like(X0)
| ~ ilf_type(X0,binary_relation_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,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,[],[f119]) ).
fof(f119,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,[],[f57]) ).
fof(f57,plain,
! [X0] :
( ( ilf_type(X0,binary_relation_type)
<=> ( ilf_type(X0,set_type)
& relation_like(X0) ) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( ilf_type(X0,binary_relation_type)
<=> ( ilf_type(X0,set_type)
& relation_like(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p13) ).
fof(f238,plain,
! [X0] :
( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0) ),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225]) ).
fof(f225,plain,
! [X0] :
( ilf_type(X0,binary_relation_type)
| ~ ilf_type(X0,set_type)
| ~ relation_like(X0) ),
inference(duplicate_literal_removal,[],[f184]) ).
fof(f184,plain,
! [X0] :
( ilf_type(X0,binary_relation_type)
| ~ ilf_type(X0,set_type)
| ~ relation_like(X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f120]) ).
fof(f237,plain,
! [X2,X0] :
( ~ member(X2,X0)
| ~ ilf_type(X2,set_type)
| ~ empty(X0) ),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179]) ).
fof(f179,plain,
! [X2,X0] :
( ~ member(X2,X0)
| ~ ilf_type(X2,set_type)
| ~ empty(X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,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])],[f116,f117]) ).
fof(f117,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(f116,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,[],[f115]) ).
fof(f115,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,[],[f56]) ).
fof(f56,plain,
! [X0] :
( ( empty(X0)
<=> ! [X1] :
( ~ member(X1,X0)
| ~ ilf_type(X1,set_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( empty(X0)
<=> ! [X1] :
( ilf_type(X1,set_type)
=> ~ member(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p30) ).
fof(f236,plain,
! [X0] :
( empty(X0)
| ilf_type(sK12(X0),set_type) ),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180]) ).
fof(f180,plain,
! [X0] :
( empty(X0)
| ilf_type(sK12(X0),set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f118]) ).
fof(f235,plain,
! [X0] :
( member(sK12(X0),X0)
| empty(X0) ),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181]) ).
fof(f181,plain,
! [X0] :
( empty(X0)
| member(sK12(X0),X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f118]) ).
fof(f234,plain,
! [X0] : sP3(X0),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178]) ).
fof(f178,plain,
! [X0] :
( sP3(X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0] :
( sP3(X0)
| ~ ilf_type(X0,set_type) ),
inference(definition_folding,[],[f55,f92,f91]) ).
fof(f91,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(f92,plain,
! [X0] :
( ( relation_like(X0)
<=> sP2(X0) )
| ~ sP3(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f55,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,[],[f54]) ).
fof(f54,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/sandbox2/benchmark/theBenchmark.p',p24) ).
fof(f172,plain,
! [X0,X4] :
( ilf_type(sK10(X4),set_type)
| ~ member(X4,X0)
| ~ ilf_type(X4,set_type)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,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])],[f110,f113,f112,f111]) ).
fof(f111,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(f112,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(f113,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(f110,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,[],[f109]) ).
fof(f109,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,[],[f91]) ).
fof(f173,plain,
! [X0,X4] :
( ilf_type(sK11(X4),set_type)
| ~ member(X4,X0)
| ~ ilf_type(X4,set_type)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f174,plain,
! [X0,X4] :
( ordered_pair(sK10(X4),sK11(X4)) = X4
| ~ member(X4,X0)
| ~ ilf_type(X4,set_type)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f175,plain,
! [X0] :
( sP2(X0)
| ilf_type(sK9(X0),set_type) ),
inference(cnf_transformation,[],[f114]) ).
fof(f176,plain,
! [X0] :
( member(sK9(X0),X0)
| sP2(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f177,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,[],[f114]) ).
fof(f170,plain,
! [X0] :
( sP2(X0)
| ~ relation_like(X0)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0] :
( ( ( relation_like(X0)
| ~ sP2(X0) )
& ( sP2(X0)
| ~ relation_like(X0) ) )
| ~ sP3(X0) ),
inference(nnf_transformation,[],[f92]) ).
fof(f171,plain,
! [X0] :
( relation_like(X0)
| ~ sP2(X0)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f233,plain,
! [X0] : ~ empty(power_set(X0)),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168]) ).
fof(f168,plain,
! [X0] :
( ~ empty(power_set(X0))
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0] :
( ( ilf_type(power_set(X0),set_type)
& ~ empty(power_set(X0)) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( ilf_type(power_set(X0),set_type)
& ~ empty(power_set(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p27) ).
fof(f232,plain,
! [X0] : ilf_type(power_set(X0),set_type),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169]) ).
fof(f169,plain,
! [X0] :
( ilf_type(power_set(X0),set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f53]) ).
fof(f231,plain,
! [X0] : ilf_type(identity_relation_of(X0),binary_relation_type),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167]) ).
fof(f167,plain,
! [X0] :
( ilf_type(identity_relation_of(X0),binary_relation_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0] :
( ilf_type(identity_relation_of(X0),binary_relation_type)
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ilf_type(identity_relation_of(X0),binary_relation_type) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6) ).
fof(f230,plain,
! [X0] : subset(X0,X0),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166]) ).
fof(f166,plain,
! [X0] :
( subset(X0,X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0] :
( subset(X0,X0)
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> subset(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20) ).
fof(f162,plain,
! [X2,X3,X0,X1] :
( ilf_type(sK8(X0,X1,X2,X3),set_type)
| ~ member(ordered_pair(X2,X3),compose(X0,X1))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X0,binary_relation_type) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( member(ordered_pair(X2,X3),compose(X0,X1))
| ! [X4] :
( ~ member(ordered_pair(X4,X3),X1)
| ~ member(ordered_pair(X2,X4),X0)
| ~ ilf_type(X4,set_type) ) )
& ( ( member(ordered_pair(sK8(X0,X1,X2,X3),X3),X1)
& member(ordered_pair(X2,sK8(X0,X1,X2,X3)),X0)
& ilf_type(sK8(X0,X1,X2,X3),set_type) )
| ~ member(ordered_pair(X2,X3),compose(X0,X1)) ) )
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,binary_relation_type) )
| ~ ilf_type(X0,binary_relation_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f105,f106]) ).
fof(f106,plain,
! [X0,X1,X2,X3] :
( ? [X5] :
( member(ordered_pair(X5,X3),X1)
& member(ordered_pair(X2,X5),X0)
& ilf_type(X5,set_type) )
=> ( member(ordered_pair(sK8(X0,X1,X2,X3),X3),X1)
& member(ordered_pair(X2,sK8(X0,X1,X2,X3)),X0)
& ilf_type(sK8(X0,X1,X2,X3),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f105,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( member(ordered_pair(X2,X3),compose(X0,X1))
| ! [X4] :
( ~ member(ordered_pair(X4,X3),X1)
| ~ member(ordered_pair(X2,X4),X0)
| ~ ilf_type(X4,set_type) ) )
& ( ? [X5] :
( member(ordered_pair(X5,X3),X1)
& member(ordered_pair(X2,X5),X0)
& ilf_type(X5,set_type) )
| ~ member(ordered_pair(X2,X3),compose(X0,X1)) ) )
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,binary_relation_type) )
| ~ ilf_type(X0,binary_relation_type) ),
inference(rectify,[],[f104]) ).
fof(f104,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( member(ordered_pair(X2,X3),compose(X0,X1))
| ! [X4] :
( ~ member(ordered_pair(X4,X3),X1)
| ~ member(ordered_pair(X2,X4),X0)
| ~ ilf_type(X4,set_type) ) )
& ( ? [X4] :
( member(ordered_pair(X4,X3),X1)
& member(ordered_pair(X2,X4),X0)
& ilf_type(X4,set_type) )
| ~ member(ordered_pair(X2,X3),compose(X0,X1)) ) )
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,binary_relation_type) )
| ~ ilf_type(X0,binary_relation_type) ),
inference(nnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( member(ordered_pair(X2,X3),compose(X0,X1))
<=> ? [X4] :
( member(ordered_pair(X4,X3),X1)
& member(ordered_pair(X2,X4),X0)
& ilf_type(X4,set_type) ) )
| ~ 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,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( ilf_type(X0,binary_relation_type)
=> ! [X1] :
( ilf_type(X1,binary_relation_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ( member(ordered_pair(X2,X3),compose(X0,X1))
<=> ? [X4] :
( member(ordered_pair(X4,X3),X1)
& member(ordered_pair(X2,X4),X0)
& ilf_type(X4,set_type) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3) ).
fof(f163,plain,
! [X2,X3,X0,X1] :
( member(ordered_pair(X2,sK8(X0,X1,X2,X3)),X0)
| ~ member(ordered_pair(X2,X3),compose(X0,X1))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X0,binary_relation_type) ),
inference(cnf_transformation,[],[f107]) ).
fof(f164,plain,
! [X2,X3,X0,X1] :
( member(ordered_pair(sK8(X0,X1,X2,X3),X3),X1)
| ~ member(ordered_pair(X2,X3),compose(X0,X1))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X0,binary_relation_type) ),
inference(cnf_transformation,[],[f107]) ).
fof(f165,plain,
! [X2,X3,X0,X1,X4] :
( member(ordered_pair(X2,X3),compose(X0,X1))
| ~ member(ordered_pair(X4,X3),X1)
| ~ member(ordered_pair(X2,X4),X0)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X0,binary_relation_type) ),
inference(cnf_transformation,[],[f107]) ).
fof(f161,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X0,binary_relation_type) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0] :
( ! [X1] :
( sP1(X0,X1)
| ~ ilf_type(X1,binary_relation_type) )
| ~ ilf_type(X0,binary_relation_type) ),
inference(definition_folding,[],[f49,f89,f88]) ).
fof(f88,plain,
! [X1,X0] :
( sP0(X1,X0)
<=> ! [X2] :
( ! [X3] :
( ( member(ordered_pair(X2,X3),X0)
<=> member(ordered_pair(X2,X3),X1) )
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f89,plain,
! [X0,X1] :
( ( X0 = X1
<=> sP0(X1,X0) )
| ~ sP1(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f49,plain,
! [X0] :
( ! [X1] :
( ( 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) ) )
| ~ ilf_type(X1,binary_relation_type) )
| ~ ilf_type(X0,binary_relation_type) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( ilf_type(X0,binary_relation_type)
=> ! [X1] :
( ilf_type(X1,binary_relation_type)
=> ( 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/sandbox2/benchmark/theBenchmark.p',p9) ).
fof(f229,plain,
! [X0,X1,X4,X5] :
( ~ member(ordered_pair(X4,X5),X1)
| member(ordered_pair(X4,X5),X0)
| ~ sP0(X0,X1) ),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228]) ).
fof(f228,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,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155]) ).
fof(f155,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,[],[f103]) ).
fof(f103,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ( ( ~ member(ordered_pair(sK6(X0,X1),sK7(X0,X1)),X0)
| ~ member(ordered_pair(sK6(X0,X1),sK7(X0,X1)),X1) )
& ( member(ordered_pair(sK6(X0,X1),sK7(X0,X1)),X0)
| member(ordered_pair(sK6(X0,X1),sK7(X0,X1)),X1) )
& ilf_type(sK7(X0,X1),set_type)
& ilf_type(sK6(X0,X1),set_type) ) )
& ( ! [X4] :
( ! [X5] :
( ( ( member(ordered_pair(X4,X5),X1)
| ~ member(ordered_pair(X4,X5),X0) )
& ( 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,[sK6,sK7])],[f100,f102,f101]) ).
fof(f101,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( ( ~ member(ordered_pair(X2,X3),X0)
| ~ member(ordered_pair(X2,X3),X1) )
& ( 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(sK6(X0,X1),X3),X0)
| ~ member(ordered_pair(sK6(X0,X1),X3),X1) )
& ( member(ordered_pair(sK6(X0,X1),X3),X0)
| member(ordered_pair(sK6(X0,X1),X3),X1) )
& ilf_type(X3,set_type) )
& ilf_type(sK6(X0,X1),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f102,plain,
! [X0,X1] :
( ? [X3] :
( ( ~ member(ordered_pair(sK6(X0,X1),X3),X0)
| ~ member(ordered_pair(sK6(X0,X1),X3),X1) )
& ( member(ordered_pair(sK6(X0,X1),X3),X0)
| member(ordered_pair(sK6(X0,X1),X3),X1) )
& ilf_type(X3,set_type) )
=> ( ( ~ member(ordered_pair(sK6(X0,X1),sK7(X0,X1)),X0)
| ~ member(ordered_pair(sK6(X0,X1),sK7(X0,X1)),X1) )
& ( member(ordered_pair(sK6(X0,X1),sK7(X0,X1)),X0)
| member(ordered_pair(sK6(X0,X1),sK7(X0,X1)),X1) )
& ilf_type(sK7(X0,X1),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f100,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X2] :
( ? [X3] :
( ( ~ member(ordered_pair(X2,X3),X0)
| ~ member(ordered_pair(X2,X3),X1) )
& ( 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),X1)
| ~ member(ordered_pair(X4,X5),X0) )
& ( 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,[],[f99]) ).
fof(f99,plain,
! [X1,X0] :
( ( sP0(X1,X0)
| ? [X2] :
( ? [X3] :
( ( ~ member(ordered_pair(X2,X3),X1)
| ~ member(ordered_pair(X2,X3),X0) )
& ( 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),X0)
| ~ member(ordered_pair(X2,X3),X1) )
& ( 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(flattening,[],[f98]) ).
fof(f98,plain,
! [X1,X0] :
( ( sP0(X1,X0)
| ? [X2] :
( ? [X3] :
( ( ~ member(ordered_pair(X2,X3),X1)
| ~ member(ordered_pair(X2,X3),X0) )
& ( 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),X0)
| ~ member(ordered_pair(X2,X3),X1) )
& ( 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,[],[f88]) ).
fof(f227,plain,
! [X0,X1,X4,X5] :
( ~ member(ordered_pair(X4,X5),X0)
| member(ordered_pair(X4,X5),X1)
| ~ sP0(X0,X1) ),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226]) ).
fof(f226,plain,
! [X0,X1,X4,X5] :
( member(ordered_pair(X4,X5),X1)
| ~ member(ordered_pair(X4,X5),X0)
| ~ ilf_type(X5,set_type)
| ~ sP0(X0,X1) ),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156]) ).
fof(f156,plain,
! [X0,X1,X4,X5] :
( member(ordered_pair(X4,X5),X1)
| ~ member(ordered_pair(X4,X5),X0)
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f157,plain,
! [X0,X1] :
( sP0(X0,X1)
| ilf_type(sK6(X0,X1),set_type) ),
inference(cnf_transformation,[],[f103]) ).
fof(f158,plain,
! [X0,X1] :
( sP0(X0,X1)
| ilf_type(sK7(X0,X1),set_type) ),
inference(cnf_transformation,[],[f103]) ).
fof(f159,plain,
! [X0,X1] :
( sP0(X0,X1)
| member(ordered_pair(sK6(X0,X1),sK7(X0,X1)),X0)
| member(ordered_pair(sK6(X0,X1),sK7(X0,X1)),X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f160,plain,
! [X0,X1] :
( sP0(X0,X1)
| ~ member(ordered_pair(sK6(X0,X1),sK7(X0,X1)),X0)
| ~ member(ordered_pair(sK6(X0,X1),sK7(X0,X1)),X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f154,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| ~ sP0(X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1] :
( ( ( X0 = X1
| ~ sP0(X1,X0) )
& ( sP0(X1,X0)
| X0 != X1 ) )
| ~ sP1(X0,X1) ),
inference(nnf_transformation,[],[f89]) ).
fof(f151,plain,
! [X0,X1] :
( ilf_type(compose(X0,X1),binary_relation_type)
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X0,binary_relation_type) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0] :
( ! [X1] :
( ilf_type(compose(X0,X1),binary_relation_type)
| ~ ilf_type(X1,binary_relation_type) )
| ~ ilf_type(X0,binary_relation_type) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( ilf_type(X0,binary_relation_type)
=> ! [X1] :
( ilf_type(X1,binary_relation_type)
=> ilf_type(compose(X0,X1),binary_relation_type) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4) ).
fof(f150,plain,
! [X0] :
( ilf_type(range_of(X0),set_type)
| ~ ilf_type(X0,binary_relation_type) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0] :
( ilf_type(range_of(X0),set_type)
| ~ ilf_type(X0,binary_relation_type) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( ilf_type(X0,binary_relation_type)
=> ilf_type(range_of(X0),set_type) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11) ).
fof(f149,plain,
! [X0] :
( ilf_type(domain_of(X0),set_type)
| ~ ilf_type(X0,binary_relation_type) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,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/sandbox2/benchmark/theBenchmark.p',p10) ).
fof(f147,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p38) ).
fof(f144,plain,
ilf_type(sK4,set_type),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
( ( sK5 != compose(identity_relation_of(sK4),sK5)
| sK5 != compose(sK5,identity_relation_of(sK4)) )
& ilf_type(sK5,identity_relation_of_type(sK4))
& ilf_type(sK4,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f42,f95,f94]) ).
fof(f94,plain,
( ? [X0] :
( ? [X1] :
( ( compose(identity_relation_of(X0),X1) != X1
| compose(X1,identity_relation_of(X0)) != X1 )
& ilf_type(X1,identity_relation_of_type(X0)) )
& ilf_type(X0,set_type) )
=> ( ? [X1] :
( ( compose(identity_relation_of(sK4),X1) != X1
| compose(X1,identity_relation_of(sK4)) != X1 )
& ilf_type(X1,identity_relation_of_type(sK4)) )
& ilf_type(sK4,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f95,plain,
( ? [X1] :
( ( compose(identity_relation_of(sK4),X1) != X1
| compose(X1,identity_relation_of(sK4)) != X1 )
& ilf_type(X1,identity_relation_of_type(sK4)) )
=> ( ( sK5 != compose(identity_relation_of(sK4),sK5)
| sK5 != compose(sK5,identity_relation_of(sK4)) )
& ilf_type(sK5,identity_relation_of_type(sK4)) ) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
? [X0] :
( ? [X1] :
( ( compose(identity_relation_of(X0),X1) != X1
| compose(X1,identity_relation_of(X0)) != X1 )
& ilf_type(X1,identity_relation_of_type(X0)) )
& ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,identity_relation_of_type(X0))
=> ( compose(identity_relation_of(X0),X1) = X1
& compose(X1,identity_relation_of(X0)) = X1 ) ) ),
inference(negated_conjecture,[],[f39]) ).
fof(f39,conjecture,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,identity_relation_of_type(X0))
=> ( compose(identity_relation_of(X0),X1) = X1
& compose(X1,identity_relation_of(X0)) = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_45) ).
fof(f145,plain,
ilf_type(sK5,identity_relation_of_type(sK4)),
inference(cnf_transformation,[],[f96]) ).
fof(f146,plain,
( sK5 != compose(identity_relation_of(sK4),sK5)
| sK5 != compose(sK5,identity_relation_of(sK4)) ),
inference(cnf_transformation,[],[f96]) ).
fof(f820,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| relation_like(X2) ),
inference(subsumption_resolution,[],[f819,f147]) ).
fof(f819,plain,
! [X2,X0,X1] :
( relation_like(X2)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X0,set_type) ),
inference(subsumption_resolution,[],[f212,f147]) ).
fof(f212,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,[],[f78]) ).
fof(f78,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/sandbox2/benchmark/theBenchmark.p',p25) ).
fof(f924,plain,
( ~ relation_like(sK5)
| spl20_2
| ~ spl20_3
| ~ spl20_4 ),
inference(resolution,[],[f923,f238]) ).
fof(f923,plain,
( ~ ilf_type(sK5,binary_relation_type)
| spl20_2
| ~ spl20_3
| ~ spl20_4 ),
inference(global_subsumption,[],[f660,f149,f150,f160,f159,f158,f157,f156,f226,f155,f228,f165,f164,f163,f162,f166,f167,f169,f232,f168,f171,f170,f177,f175,f174,f173,f172,f178,f181,f180,f236,f179,f237,f225,f182,f185,f186,f187,f242,f243,f188,f244,f245,f190,f246,f189,f248,f194,f250,f193,f252,f192,f254,f255,f191,f256,f257,f198,f259,f197,f261,f196,f263,f264,f195,f265,f266,f200,f268,f199,f270,f202,f272,f201,f274,f224,f276,f204,f278,f279,f203,f281,f282,f206,f284,f285,f286,f207,f287,f288,f289,f208,f290,f209,f292,f210,f294,f211,f296,f212,f213,f298,f215,f300,f214,f301,f216,f217,f218,f219,f234,f144,f147,f220,f230,f233,f145,f231,f305,f238,f239,f306,f307,f302,f303,f309,f310,f176,f235,f299,f304,f312,f313,f251,f253,f317,f154,f161,f319,f258,f260,f262,f324,f326,f325,f327,f269,f271,f335,f273,f338,f275,f277,f340,f341,f280,f283,f320,f344,f345,f321,f348,f146,f357,f349,f329,f331,f267,f367,f368,f369,f370,f371,f374,f375,f332,f372,f378,f380,f381,f379,f382,f151,f383,f373,f384,f386,f387,f385,f247,f249,f390,f392,f391,f393,f322,f395,f397,f398,f396,f365,f402,f403,f404,f405,f406,f407,f408,f409,f410,f376,f377,f291,f417,f418,f415,f416,f422,f423,f419,f421,f293,f426,f427,f424,f295,f428,f430,f432,f431,f436,f447,f433,f450,f451,f449,f452,f425,f453,f457,f458,f456,f297,f459,f461,f464,f466,f463,f468,f467,f472,f474,f475,f476,f477,f478,f479,f469,f470,f480,f481,f485,f486,f484,f487,f488,f482,f489,f492,f493,f494,f498,f504,f499,f509,f511,f512,f506,f513,f514,f515,f516,f517,f518,f519,f520,f521,f522,f471,f523,f500,f524,f526,f527,f528,f529,f530,f483,f532,f533,f531,f534,f535,f490,f536,f491,f537,f227,f538,f539,f540,f541,f505,f542,f544,f545,f546,f547,f548,f508,f550,f551,f556,f557,f559,f561,f575,f577,f579,f581,f585,f229,f609,f610,f611,f612,f574,f576,f240,f639,f640,f554,f645,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f241,f674,f675,f578,f687,f689,f582,f696,f583,f700,f584,f702,f644,f704,f708,f709,f710,f711,f712,f713,f705,f714,f706,f580,f716,f820,f899,f900,f901,f907,f908,f898,f904,f905,f902,f897,f911,f912,f914,f919,f922]) ).
fof(f922,plain,
( ~ ilf_type(sK5,binary_relation_type)
| spl20_2
| ~ spl20_3 ),
inference(subsumption_resolution,[],[f690,f357]) ).
fof(f690,plain,
( sK5 = compose(identity_relation_of(sK4),sK5)
| ~ ilf_type(sK5,binary_relation_type)
| ~ spl20_3 ),
inference(resolution,[],[f689,f241]) ).
fof(f914,plain,
! [X2,X0,X1] : relation_like(range_of(sK15(cross_product(X0,X1),X2))),
inference(resolution,[],[f897,f433]) ).
fof(f912,plain,
! [X0,X1] :
( relation_like(X0)
| ~ ilf_type(X0,identity_relation_of_type(X1)) ),
inference(resolution,[],[f897,f271]) ).
fof(f911,plain,
! [X0,X1] : relation_like(sK15(X0,X1)),
inference(resolution,[],[f897,f299]) ).
fof(f902,plain,
! [X0,X1] : relation_like(sK12(power_set(cross_product(X0,X1)))),
inference(resolution,[],[f820,f480]) ).
fof(f905,plain,
! [X0,X1] : relation_like(sK18(power_set(cross_product(X0,X1)))),
inference(resolution,[],[f820,f338]) ).
fof(f904,plain,
! [X0,X1] : relation_like(sK17(cross_product(X0,X1))),
inference(resolution,[],[f820,f303]) ).
fof(f898,plain,
! [X0,X1] : relation_like(cross_product(X0,X1)),
inference(resolution,[],[f820,f469]) ).
fof(f908,plain,
! [X2,X0,X1] : relation_like(domain_of(sK15(X0,cross_product(X1,X2)))),
inference(resolution,[],[f820,f463]) ).
fof(f907,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,[],[f820,f295]) ).
fof(f901,plain,
! [X0,X1] :
( relation_like(sK9(power_set(cross_product(X0,X1))))
| sP2(power_set(cross_product(X0,X1))) ),
inference(resolution,[],[f820,f471]) ).
fof(f900,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,[],[f820,f297]) ).
fof(f899,plain,
! [X2,X0,X1] : relation_like(range_of(sK15(cross_product(X0,X1),X2))),
inference(resolution,[],[f820,f432]) ).
fof(f716,plain,
! [X2,X3,X0] :
( ordered_pair(X2,X3) != sK9(X0)
| sP2(X0) ),
inference(subsumption_resolution,[],[f715,f147]) ).
fof(f715,plain,
! [X2,X3,X0] :
( sP2(X0)
| ordered_pair(X2,X3) != sK9(X0)
| ~ ilf_type(X2,set_type) ),
inference(subsumption_resolution,[],[f177,f147]) ).
fof(f580,plain,
( member(sK18(domain_of(sK5)),sK4)
| empty(domain_of(sK5))
| ~ spl20_3 ),
inference(resolution,[],[f561,f498]) ).
fof(f706,plain,
( sP2(sK17(domain_of(sK5)))
| member(sK9(sK17(domain_of(sK5))),sK4)
| ~ spl20_3 ),
inference(resolution,[],[f644,f561]) ).
fof(f714,plain,
! [X0] :
( relation_like(sK17(X0))
| ~ empty(X0) ),
inference(resolution,[],[f705,f310]) ).
fof(f705,plain,
! [X0] :
( sP2(sK17(X0))
| ~ empty(X0) ),
inference(resolution,[],[f644,f312]) ).
fof(f713,plain,
! [X0] :
( sP2(sK17(sK18(power_set(X0))))
| member(sK9(sK17(sK18(power_set(X0)))),X0) ),
inference(resolution,[],[f644,f506]) ).
fof(f712,plain,
! [X0] :
( sP2(sK17(sK17(X0)))
| member(sK9(sK17(sK17(X0))),X0) ),
inference(resolution,[],[f644,f554]) ).
fof(f711,plain,
! [X0] :
( sP2(sK17(sK12(power_set(X0))))
| member(sK9(sK17(sK12(power_set(X0)))),X0) ),
inference(resolution,[],[f644,f371]) ).
fof(f710,plain,
! [X0] :
( sP2(sK17(sK9(power_set(X0))))
| member(sK9(sK17(sK9(power_set(X0)))),X0)
| sP2(power_set(X0)) ),
inference(resolution,[],[f644,f365]) ).
fof(f709,plain,
! [X0,X1] :
( sP2(sK17(power_set(X0)))
| ~ member(X1,sK9(sK17(power_set(X0))))
| member(X1,X0) ),
inference(resolution,[],[f644,f267]) ).
fof(f708,plain,
! [X0] :
( sP2(sK17(power_set(X0)))
| ilf_type(sK9(sK17(power_set(X0))),subset_type(X0)) ),
inference(resolution,[],[f644,f467]) ).
fof(f704,plain,
! [X0,X1] :
( sP2(sK17(X0))
| member(sK9(sK17(X0)),X1)
| ~ subset(X0,X1) ),
inference(resolution,[],[f644,f258]) ).
fof(f644,plain,
! [X0] :
( member(sK9(sK17(X0)),X0)
| sP2(sK17(X0)) ),
inference(resolution,[],[f554,f176]) ).
fof(f702,plain,
( ! [X0,X1] :
( empty(X0)
| ~ subset(X0,domain_of(sK5))
| member(sK18(X0),X1)
| ~ subset(sK4,X1) )
| ~ spl20_3 ),
inference(resolution,[],[f584,f258]) ).
fof(f584,plain,
( ! [X0] :
( member(sK18(X0),sK4)
| empty(X0)
| ~ subset(X0,domain_of(sK5)) )
| ~ spl20_3 ),
inference(resolution,[],[f561,f500]) ).
fof(f700,plain,
( ! [X0,X1] :
( ~ subset(X0,domain_of(sK5))
| empty(X0)
| member(sK12(X0),X1)
| ~ subset(sK4,X1) )
| ~ spl20_3 ),
inference(resolution,[],[f583,f258]) ).
fof(f583,plain,
( ! [X0] :
( member(sK12(X0),sK4)
| ~ subset(X0,domain_of(sK5))
| empty(X0) )
| ~ spl20_3 ),
inference(resolution,[],[f561,f321]) ).
fof(f696,plain,
( ! [X0,X1] :
( ~ subset(X0,domain_of(sK5))
| sP2(X0)
| member(sK9(X0),X1)
| ~ subset(sK4,X1) )
| ~ spl20_3 ),
inference(resolution,[],[f582,f258]) ).
fof(f582,plain,
( ! [X0] :
( member(sK9(X0),sK4)
| ~ subset(X0,domain_of(sK5))
| sP2(X0) )
| ~ spl20_3 ),
inference(resolution,[],[f561,f320]) ).
fof(f689,plain,
( subset(domain_of(sK5),sK4)
| ~ spl20_3 ),
inference(duplicate_literal_removal,[],[f686]) ).
fof(f686,plain,
( subset(domain_of(sK5),sK4)
| subset(domain_of(sK5),sK4)
| ~ spl20_3 ),
inference(resolution,[],[f578,f251]) ).
fof(f687,plain,
( ! [X0,X1] :
( subset(domain_of(sK5),X0)
| member(sK13(domain_of(sK5),X0),X1)
| ~ subset(sK4,X1) )
| ~ spl20_3 ),
inference(resolution,[],[f578,f258]) ).
fof(f578,plain,
( ! [X0] :
( member(sK13(domain_of(sK5),X0),sK4)
| subset(domain_of(sK5),X0) )
| ~ spl20_3 ),
inference(resolution,[],[f561,f253]) ).
fof(f675,plain,
! [X0,X1] :
( compose(identity_relation_of(X0),X1) = X1
| ~ ilf_type(X1,binary_relation_type)
| ~ empty(domain_of(X1)) ),
inference(resolution,[],[f241,f317]) ).
fof(f674,plain,
! [X0] :
( compose(identity_relation_of(domain_of(X0)),X0) = X0
| ~ ilf_type(X0,binary_relation_type) ),
inference(resolution,[],[f241,f230]) ).
fof(f655,plain,
! [X2,X0,X1] :
( member(sK13(X0,X1),X2)
| ~ subset(X0,sK17(X2))
| subset(X0,X1) ),
inference(resolution,[],[f554,f322]) ).
fof(f654,plain,
! [X0,X1] :
( member(sK18(X0),X1)
| empty(X0)
| ~ subset(X0,sK17(X1)) ),
inference(resolution,[],[f554,f500]) ).
fof(f653,plain,
! [X0,X1] :
( member(sK12(X0),X1)
| ~ subset(X0,sK17(X1))
| empty(X0) ),
inference(resolution,[],[f554,f321]) ).
fof(f652,plain,
! [X0,X1] :
( member(sK9(X0),X1)
| ~ subset(X0,sK17(X1))
| sP2(X0) ),
inference(resolution,[],[f554,f320]) ).
fof(f651,plain,
! [X0] :
( member(sK18(sK12(power_set(sK17(X0)))),X0)
| empty(sK12(power_set(sK17(X0)))) ),
inference(resolution,[],[f554,f505]) ).
fof(f650,plain,
! [X0] :
( member(sK18(sK17(X0)),X0)
| empty(sK17(X0)) ),
inference(resolution,[],[f554,f498]) ).
fof(f649,plain,
! [X0,X1] :
( member(sK14(sK17(X0),X1),X0)
| member(sK17(X0),power_set(X1)) ),
inference(resolution,[],[f554,f262]) ).
fof(f648,plain,
! [X0,X1] :
( member(sK13(sK17(X0),X1),X0)
| subset(sK17(X0),X1) ),
inference(resolution,[],[f554,f253]) ).
fof(f647,plain,
! [X0] :
( member(sK12(sK12(power_set(sK17(X0)))),X0)
| empty(sK12(power_set(sK17(X0)))) ),
inference(resolution,[],[f554,f373]) ).
fof(f646,plain,
! [X0] :
( member(sK12(sK17(X0)),X0)
| empty(sK17(X0)) ),
inference(resolution,[],[f554,f235]) ).
fof(f645,plain,
! [X0] :
( member(sK9(sK12(power_set(sK17(X0)))),X0)
| sP2(sK12(power_set(sK17(X0)))) ),
inference(resolution,[],[f554,f372]) ).
fof(f554,plain,
! [X0,X1] :
( ~ member(X0,sK17(X1))
| member(X0,X1) ),
inference(resolution,[],[f508,f303]) ).
fof(f640,plain,
! [X0,X1] :
( compose(X0,identity_relation_of(X1)) = X0
| ~ ilf_type(X0,binary_relation_type)
| ~ empty(range_of(X0)) ),
inference(resolution,[],[f240,f317]) ).
fof(f639,plain,
! [X0] :
( compose(X0,identity_relation_of(range_of(X0))) = X0
| ~ ilf_type(X0,binary_relation_type) ),
inference(resolution,[],[f240,f230]) ).
fof(f576,plain,
( member(sK12(domain_of(sK5)),sK4)
| empty(domain_of(sK5))
| ~ spl20_3 ),
inference(resolution,[],[f561,f235]) ).
fof(f574,plain,
( member(sK9(domain_of(sK5)),sK4)
| sP2(domain_of(sK5))
| ~ spl20_3 ),
inference(resolution,[],[f561,f176]) ).
fof(f612,plain,
! [X2,X3,X0,X1] :
( member(ordered_pair(X0,X1),X2)
| ~ sP0(X2,power_set(X3))
| ~ empty(ordered_pair(X0,X1)) ),
inference(resolution,[],[f229,f325]) ).
fof(f611,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,[],[f229,f499]) ).
fof(f610,plain,
! [X2,X0,X1] :
( member(ordered_pair(X0,X1),X2)
| ~ sP0(X2,power_set(ordered_pair(X0,X1))) ),
inference(resolution,[],[f229,f326]) ).
fof(f609,plain,
! [X2,X0,X1] :
( member(ordered_pair(X0,X0),X1)
| ~ sP0(X1,identity_relation_of(X2))
| ~ member(X0,X2) ),
inference(resolution,[],[f229,f277]) ).
fof(f585,plain,
( ! [X0,X1] :
( member(sK13(X0,X1),sK4)
| ~ subset(X0,domain_of(sK5))
| subset(X0,X1) )
| ~ spl20_3 ),
inference(resolution,[],[f561,f322]) ).
fof(f581,plain,
( member(sK18(sK12(power_set(domain_of(sK5)))),sK4)
| empty(sK12(power_set(domain_of(sK5))))
| ~ spl20_3 ),
inference(resolution,[],[f561,f505]) ).
fof(f579,plain,
( ! [X0] :
( member(sK14(domain_of(sK5),X0),sK4)
| member(domain_of(sK5),power_set(X0)) )
| ~ spl20_3 ),
inference(resolution,[],[f561,f262]) ).
fof(f577,plain,
( member(sK12(sK12(power_set(domain_of(sK5)))),sK4)
| empty(sK12(power_set(domain_of(sK5))))
| ~ spl20_3 ),
inference(resolution,[],[f561,f373]) ).
fof(f575,plain,
( member(sK9(sK12(power_set(domain_of(sK5)))),sK4)
| sP2(sK12(power_set(domain_of(sK5))))
| ~ spl20_3 ),
inference(resolution,[],[f561,f372]) ).
fof(f561,plain,
( ! [X0] :
( ~ member(X0,domain_of(sK5))
| member(X0,sK4) )
| ~ spl20_3 ),
inference(resolution,[],[f508,f464]) ).
fof(f559,plain,
! [X2,X3,X0,X1] :
( ~ member(X0,X1)
| member(X0,cross_product(X2,X3))
| ~ ilf_type(X1,relation_type(X2,X3)) ),
inference(resolution,[],[f508,f247]) ).
fof(f557,plain,
! [X2,X0,X1] :
( ~ member(X0,domain_of(sK15(X1,X2)))
| member(X0,X2) ),
inference(resolution,[],[f508,f463]) ).
fof(f556,plain,
! [X2,X3,X0,X1] :
( ~ member(X0,range(X1,X2,X3))
| member(X0,X2)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(resolution,[],[f508,f295]) ).
fof(f551,plain,
! [X2,X3,X0,X1] :
( ~ member(X0,domain(X1,X2,X3))
| member(X0,X1)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(resolution,[],[f508,f297]) ).
fof(f550,plain,
! [X2,X0,X1] :
( ~ member(X0,range_of(sK15(X1,X2)))
| member(X0,X1) ),
inference(resolution,[],[f508,f432]) ).
fof(f508,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,subset_type(X1))
| ~ member(X2,X0)
| member(X2,X1) ),
inference(resolution,[],[f499,f267]) ).
fof(f548,plain,
! [X0] :
( empty(sK12(power_set(sK18(power_set(X0)))))
| member(sK18(sK12(power_set(sK18(power_set(X0))))),X0) ),
inference(resolution,[],[f505,f506]) ).
fof(f547,plain,
! [X0] :
( empty(sK12(power_set(sK12(power_set(X0)))))
| member(sK18(sK12(power_set(sK12(power_set(X0))))),X0) ),
inference(resolution,[],[f505,f371]) ).
fof(f546,plain,
! [X0] :
( empty(sK12(power_set(sK9(power_set(X0)))))
| member(sK18(sK12(power_set(sK9(power_set(X0))))),X0)
| sP2(power_set(X0)) ),
inference(resolution,[],[f505,f365]) ).
fof(f545,plain,
! [X0,X1] :
( empty(sK12(power_set(power_set(X0))))
| ~ member(X1,sK18(sK12(power_set(power_set(X0)))))
| member(X1,X0) ),
inference(resolution,[],[f505,f267]) ).
fof(f544,plain,
! [X0] :
( empty(sK12(power_set(power_set(X0))))
| ilf_type(sK18(sK12(power_set(power_set(X0)))),subset_type(X0)) ),
inference(resolution,[],[f505,f467]) ).
fof(f542,plain,
! [X0,X1] :
( empty(sK12(power_set(X0)))
| member(sK18(sK12(power_set(X0))),X1)
| ~ subset(X0,X1) ),
inference(resolution,[],[f505,f258]) ).
fof(f505,plain,
! [X0] :
( member(sK18(sK12(power_set(X0))),X0)
| empty(sK12(power_set(X0))) ),
inference(resolution,[],[f498,f371]) ).
fof(f541,plain,
! [X2,X3,X0,X1] :
( member(ordered_pair(X0,X1),X2)
| ~ sP0(power_set(X3),X2)
| ~ empty(ordered_pair(X0,X1)) ),
inference(resolution,[],[f227,f325]) ).
fof(f540,plain,
! [X2,X3,X0,X1] :
( member(ordered_pair(X0,X1),X2)
| ~ sP0(power_set(X3),X2)
| ~ ilf_type(ordered_pair(X0,X1),subset_type(X3)) ),
inference(resolution,[],[f227,f499]) ).
fof(f539,plain,
! [X2,X0,X1] :
( member(ordered_pair(X0,X1),X2)
| ~ sP0(power_set(ordered_pair(X0,X1)),X2) ),
inference(resolution,[],[f227,f326]) ).
fof(f538,plain,
! [X2,X0,X1] :
( member(ordered_pair(X0,X0),X1)
| ~ sP0(identity_relation_of(X2),X1)
| ~ member(X0,X2) ),
inference(resolution,[],[f227,f277]) ).
fof(f537,plain,
! [X2,X0,X1] :
( range_of(sK12(power_set(X0))) = range(X1,X2,sK12(power_set(X0)))
| ~ empty(X0) ),
inference(resolution,[],[f491,f385]) ).
fof(f491,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| range_of(X0) = range(X1,X2,X0) ),
inference(resolution,[],[f482,f291]) ).
fof(f536,plain,
! [X2,X0,X1] :
( domain_of(sK12(power_set(X0))) = domain(X1,X2,sK12(power_set(X0)))
| ~ empty(X0) ),
inference(resolution,[],[f490,f385]) ).
fof(f490,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| domain_of(X0) = domain(X1,X2,X0) ),
inference(resolution,[],[f482,f293]) ).
fof(f535,plain,
! [X0] : range_of(sK12(power_set(cross_product(X0,X0)))) = range(X0,X0,sK12(power_set(cross_product(X0,X0)))),
inference(resolution,[],[f531,f416]) ).
fof(f534,plain,
! [X0] : domain_of(sK12(power_set(cross_product(X0,X0)))) = domain(X0,X0,sK12(power_set(cross_product(X0,X0)))),
inference(resolution,[],[f531,f425]) ).
fof(f531,plain,
! [X0] : ilf_type(sK12(power_set(cross_product(X0,X0))),identity_relation_of_type(X0)),
inference(resolution,[],[f483,f269]) ).
fof(f533,plain,
! [X0,X1] : range(X0,X1,sK12(power_set(cross_product(X0,X1)))) = range_of(sK12(power_set(cross_product(X0,X1)))),
inference(resolution,[],[f483,f291]) ).
fof(f532,plain,
! [X0,X1] : domain(X0,X1,sK12(power_set(cross_product(X0,X1)))) = domain_of(sK12(power_set(cross_product(X0,X1)))),
inference(resolution,[],[f483,f293]) ).
fof(f483,plain,
! [X0,X1] : ilf_type(sK12(power_set(cross_product(X0,X1))),relation_type(X0,X1)),
inference(resolution,[],[f480,f249]) ).
fof(f530,plain,
! [X0,X1] :
( empty(X0)
| ~ subset(X0,sK18(power_set(X1)))
| member(sK18(X0),X1) ),
inference(resolution,[],[f500,f506]) ).
fof(f529,plain,
! [X0,X1] :
( empty(X0)
| ~ subset(X0,sK12(power_set(X1)))
| member(sK18(X0),X1) ),
inference(resolution,[],[f500,f371]) ).
fof(f528,plain,
! [X0,X1] :
( empty(X0)
| ~ subset(X0,sK9(power_set(X1)))
| member(sK18(X0),X1)
| sP2(power_set(X1)) ),
inference(resolution,[],[f500,f365]) ).
fof(f527,plain,
! [X2,X0,X1] :
( empty(X0)
| ~ subset(X0,power_set(X1))
| ~ member(X2,sK18(X0))
| member(X2,X1) ),
inference(resolution,[],[f500,f267]) ).
fof(f526,plain,
! [X0,X1] :
( empty(X0)
| ~ subset(X0,power_set(X1))
| ilf_type(sK18(X0),subset_type(X1)) ),
inference(resolution,[],[f500,f467]) ).
fof(f524,plain,
! [X2,X0,X1] :
( empty(X0)
| ~ subset(X0,X1)
| member(sK18(X0),X2)
| ~ subset(X1,X2) ),
inference(resolution,[],[f500,f258]) ).
fof(f500,plain,
! [X0,X1] :
( member(sK18(X0),X1)
| empty(X0)
| ~ subset(X0,X1) ),
inference(resolution,[],[f498,f258]) ).
fof(f523,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,[],[f471,f249]) ).
fof(f471,plain,
! [X0] :
( ilf_type(sK9(power_set(X0)),subset_type(X0))
| sP2(power_set(X0)) ),
inference(resolution,[],[f467,f176]) ).
fof(f522,plain,
! [X2,X0,X1] :
( member(sK13(X0,X1),X2)
| ~ subset(X0,sK18(power_set(X2)))
| subset(X0,X1) ),
inference(resolution,[],[f506,f322]) ).
fof(f521,plain,
! [X0,X1] :
( member(sK12(X0),X1)
| ~ subset(X0,sK18(power_set(X1)))
| empty(X0) ),
inference(resolution,[],[f506,f321]) ).
fof(f520,plain,
! [X0,X1] :
( member(sK9(X0),X1)
| ~ subset(X0,sK18(power_set(X1)))
| sP2(X0) ),
inference(resolution,[],[f506,f320]) ).
fof(f519,plain,
! [X0] :
( member(sK18(sK18(power_set(X0))),X0)
| empty(sK18(power_set(X0))) ),
inference(resolution,[],[f506,f498]) ).
fof(f518,plain,
! [X0,X1] :
( member(sK14(sK18(power_set(X0)),X1),X0)
| member(sK18(power_set(X0)),power_set(X1)) ),
inference(resolution,[],[f506,f262]) ).
fof(f517,plain,
! [X0,X1] :
( member(sK13(sK18(power_set(X0)),X1),X0)
| subset(sK18(power_set(X0)),X1) ),
inference(resolution,[],[f506,f253]) ).
fof(f516,plain,
! [X0] :
( member(sK12(sK12(power_set(sK18(power_set(X0))))),X0)
| empty(sK12(power_set(sK18(power_set(X0))))) ),
inference(resolution,[],[f506,f373]) ).
fof(f515,plain,
! [X0] :
( member(sK12(sK18(power_set(X0))),X0)
| empty(sK18(power_set(X0))) ),
inference(resolution,[],[f506,f235]) ).
fof(f514,plain,
! [X0] :
( member(sK9(sK12(power_set(sK18(power_set(X0))))),X0)
| sP2(sK12(power_set(sK18(power_set(X0))))) ),
inference(resolution,[],[f506,f372]) ).
fof(f513,plain,
! [X0] :
( member(sK9(sK18(power_set(X0))),X0)
| sP2(sK18(power_set(X0))) ),
inference(resolution,[],[f506,f176]) ).
fof(f506,plain,
! [X0,X1] :
( ~ member(X1,sK18(power_set(X0)))
| member(X1,X0) ),
inference(subsumption_resolution,[],[f503,f233]) ).
fof(f503,plain,
! [X0,X1] :
( empty(power_set(X0))
| ~ member(X1,sK18(power_set(X0)))
| member(X1,X0) ),
inference(resolution,[],[f498,f267]) ).
fof(f512,plain,
! [X0,X1] :
( ~ ilf_type(sK14(X0,power_set(X1)),subset_type(X1))
| member(X0,power_set(power_set(X1))) ),
inference(resolution,[],[f499,f260]) ).
fof(f511,plain,
! [X0,X1] :
( ~ ilf_type(sK13(X0,power_set(X1)),subset_type(X1))
| subset(X0,power_set(X1)) ),
inference(resolution,[],[f499,f251]) ).
fof(f509,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,subset_type(X1))
| member(X0,X2)
| ~ subset(power_set(X1),X2) ),
inference(resolution,[],[f499,f258]) ).
fof(f499,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ~ ilf_type(X0,subset_type(X1)) ),
inference(subsumption_resolution,[],[f496,f233]) ).
fof(f496,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| empty(power_set(X1))
| ~ ilf_type(X0,subset_type(X1)) ),
inference(resolution,[],[f494,f275]) ).
fof(f504,plain,
! [X0] :
( empty(sK9(power_set(X0)))
| member(sK18(sK9(power_set(X0))),X0)
| sP2(power_set(X0)) ),
inference(resolution,[],[f498,f365]) ).
fof(f498,plain,
! [X0] :
( member(sK18(X0),X0)
| empty(X0) ),
inference(duplicate_literal_removal,[],[f495]) ).
fof(f495,plain,
! [X0] :
( member(sK18(X0),X0)
| empty(X0)
| empty(X0) ),
inference(resolution,[],[f494,f304]) ).
fof(f494,plain,
! [X0,X1] :
( ~ ilf_type(X0,member_type(X1))
| member(X0,X1)
| empty(X1) ),
inference(subsumption_resolution,[],[f301,f147]) ).
fof(f493,plain,
! [X0,X1] :
( ~ empty(X0)
| range_of(X0) = range(X1,X1,X0) ),
inference(resolution,[],[f489,f416]) ).
fof(f492,plain,
! [X0,X1] :
( ~ empty(X0)
| domain_of(X0) = domain(X1,X1,X0) ),
inference(resolution,[],[f489,f425]) ).
fof(f489,plain,
! [X0,X1] :
( ilf_type(X0,identity_relation_of_type(X1))
| ~ empty(X0) ),
inference(resolution,[],[f482,f269]) ).
fof(f482,plain,
! [X2,X0,X1] :
( ilf_type(X0,relation_type(X1,X2))
| ~ empty(X0) ),
inference(resolution,[],[f470,f249]) ).
fof(f488,plain,
! [X0] : range_of(cross_product(X0,X0)) = range(X0,X0,cross_product(X0,X0)),
inference(resolution,[],[f484,f416]) ).
fof(f487,plain,
! [X0] : domain_of(cross_product(X0,X0)) = domain(X0,X0,cross_product(X0,X0)),
inference(resolution,[],[f484,f425]) ).
fof(f484,plain,
! [X0] : ilf_type(cross_product(X0,X0),identity_relation_of_type(X0)),
inference(resolution,[],[f481,f269]) ).
fof(f486,plain,
! [X0,X1] : range(X0,X1,cross_product(X0,X1)) = range_of(cross_product(X0,X1)),
inference(resolution,[],[f481,f291]) ).
fof(f485,plain,
! [X0,X1] : domain_of(cross_product(X0,X1)) = domain(X0,X1,cross_product(X0,X1)),
inference(resolution,[],[f481,f293]) ).
fof(f481,plain,
! [X0,X1] : ilf_type(cross_product(X0,X1),relation_type(X0,X1)),
inference(resolution,[],[f469,f249]) ).
fof(f480,plain,
! [X0] : ilf_type(sK12(power_set(X0)),subset_type(X0)),
inference(subsumption_resolution,[],[f473,f233]) ).
fof(f473,plain,
! [X0] :
( ilf_type(sK12(power_set(X0)),subset_type(X0))
| empty(power_set(X0)) ),
inference(resolution,[],[f467,f235]) ).
fof(f470,plain,
! [X0,X1] :
( ilf_type(X0,subset_type(X1))
| ~ empty(X0) ),
inference(resolution,[],[f467,f325]) ).
fof(f469,plain,
! [X0] : ilf_type(X0,subset_type(X0)),
inference(resolution,[],[f467,f326]) ).
fof(f479,plain,
! [X2,X0,X1] :
( ilf_type(sK13(X0,X1),subset_type(X2))
| ~ subset(X0,power_set(X2))
| subset(X0,X1) ),
inference(resolution,[],[f467,f322]) ).
fof(f478,plain,
! [X0,X1] :
( ilf_type(sK12(X0),subset_type(X1))
| ~ subset(X0,power_set(X1))
| empty(X0) ),
inference(resolution,[],[f467,f321]) ).
fof(f477,plain,
! [X0,X1] :
( ilf_type(sK9(X0),subset_type(X1))
| ~ subset(X0,power_set(X1))
| sP2(X0) ),
inference(resolution,[],[f467,f320]) ).
fof(f476,plain,
! [X0,X1] :
( ilf_type(sK14(power_set(X0),X1),subset_type(X0))
| member(power_set(X0),power_set(X1)) ),
inference(resolution,[],[f467,f262]) ).
fof(f475,plain,
! [X0,X1] :
( ilf_type(sK13(power_set(X0),X1),subset_type(X0))
| subset(power_set(X0),X1) ),
inference(resolution,[],[f467,f253]) ).
fof(f474,plain,
! [X0] :
( ilf_type(sK12(sK12(power_set(power_set(X0)))),subset_type(X0))
| empty(sK12(power_set(power_set(X0)))) ),
inference(resolution,[],[f467,f373]) ).
fof(f472,plain,
! [X0] :
( ilf_type(sK9(sK12(power_set(power_set(X0)))),subset_type(X0))
| sP2(sK12(power_set(power_set(X0)))) ),
inference(resolution,[],[f467,f372]) ).
fof(f467,plain,
! [X0,X1] :
( ~ member(X0,power_set(X1))
| ilf_type(X0,subset_type(X1)) ),
inference(resolution,[],[f466,f273]) ).
fof(f468,plain,
! [X2,X0,X1] : ilf_type(domain_of(sK15(X0,cross_product(X1,X2))),relation_type(X1,X2)),
inference(resolution,[],[f463,f249]) ).
fof(f463,plain,
! [X0,X1] : ilf_type(domain_of(sK15(X1,X0)),subset_type(X0)),
inference(subsumption_resolution,[],[f460,f299]) ).
fof(f460,plain,
! [X0,X1] :
( ilf_type(domain_of(sK15(X1,X0)),subset_type(X0))
| ~ ilf_type(sK15(X1,X0),relation_type(X0,X1)) ),
inference(superposition,[],[f297,f424]) ).
fof(f466,plain,
! [X0,X1] :
( ilf_type(X0,member_type(X1))
| ~ member(X0,X1) ),
inference(subsumption_resolution,[],[f465,f312]) ).
fof(f465,plain,
! [X0,X1] :
( ilf_type(X0,member_type(X1))
| ~ member(X0,X1)
| empty(X1) ),
inference(subsumption_resolution,[],[f300,f147]) ).
fof(f464,plain,
( ilf_type(domain_of(sK5),subset_type(sK4))
| ~ spl20_3 ),
inference(subsumption_resolution,[],[f462,f436]) ).
fof(f462,plain,
( ilf_type(domain_of(sK5),subset_type(sK4))
| ~ ilf_type(sK5,relation_type(sK4,sK4))
| ~ spl20_3 ),
inference(superposition,[],[f297,f447]) ).
fof(f461,plain,
! [X0] :
( ilf_type(domain_of(sK16(X0)),subset_type(X0))
| ~ ilf_type(sK16(X0),relation_type(X0,X0)) ),
inference(superposition,[],[f297,f456]) ).
fof(f459,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,[],[f297,f249]) ).
fof(f297,plain,
! [X2,X0,X1] :
( ilf_type(domain(X0,X1,X2),subset_type(X0))
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182,f239,f185,f240,f186,f241,f187,f242,f243,f188,f244,f245,f190,f246,f247,f189,f248,f249,f194,f250,f251,f193,f252,f253,f192,f254,f255,f191,f256,f257,f258,f198,f259,f260,f197,f261,f262,f196,f263,f264,f195,f265,f266,f267,f200,f268,f269,f199,f270,f271,f202,f272,f273,f201,f274,f275,f224,f276,f277,f204,f278,f279,f280,f203,f281,f282,f283,f206,f284,f285,f286,f207,f287,f288,f289,f208,f290,f291,f209,f292,f293,f210,f294,f295,f211,f296]) ).
fof(f456,plain,
! [X0] : domain_of(sK16(X0)) = domain(X0,X0,sK16(X0)),
inference(resolution,[],[f425,f302]) ).
fof(f458,plain,
! [X0] : domain_of(sK18(power_set(cross_product(X0,X0)))) = domain(X0,X0,sK18(power_set(cross_product(X0,X0)))),
inference(resolution,[],[f425,f393]) ).
fof(f457,plain,
! [X0] : domain_of(sK17(cross_product(X0,X0))) = domain(X0,X0,sK17(cross_product(X0,X0))),
inference(resolution,[],[f425,f392]) ).
fof(f453,plain,
! [X0,X1] : domain_of(range_of(sK15(cross_product(X0,X0),X1))) = domain(X0,X0,range_of(sK15(cross_product(X0,X0),X1))),
inference(resolution,[],[f425,f449]) ).
fof(f425,plain,
! [X0,X1] :
( ~ ilf_type(X1,identity_relation_of_type(X0))
| domain_of(X1) = domain(X0,X0,X1) ),
inference(resolution,[],[f293,f271]) ).
fof(f452,plain,
! [X0,X1] : range_of(range_of(sK15(cross_product(X0,X0),X1))) = range(X0,X0,range_of(sK15(cross_product(X0,X0),X1))),
inference(resolution,[],[f449,f416]) ).
fof(f449,plain,
! [X0,X1] : ilf_type(range_of(sK15(cross_product(X0,X0),X1)),identity_relation_of_type(X0)),
inference(resolution,[],[f433,f269]) ).
fof(f451,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,[],[f433,f291]) ).
fof(f450,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,[],[f433,f293]) ).
fof(f433,plain,
! [X2,X0,X1] : ilf_type(range_of(sK15(cross_product(X0,X1),X2)),relation_type(X0,X1)),
inference(resolution,[],[f432,f249]) ).
fof(f447,plain,
( domain_of(sK5) = domain(sK4,sK4,sK5)
| ~ spl20_3 ),
inference(resolution,[],[f436,f293]) ).
fof(f431,plain,
( ilf_type(range_of(sK5),subset_type(sK4))
| ~ ilf_type(sK5,relation_type(sK4,sK4)) ),
inference(superposition,[],[f295,f419]) ).
fof(f432,plain,
! [X0,X1] : ilf_type(range_of(sK15(X1,X0)),subset_type(X1)),
inference(subsumption_resolution,[],[f429,f299]) ).
fof(f429,plain,
! [X0,X1] :
( ilf_type(range_of(sK15(X1,X0)),subset_type(X1))
| ~ ilf_type(sK15(X1,X0),relation_type(X0,X1)) ),
inference(superposition,[],[f295,f415]) ).
fof(f430,plain,
! [X0] :
( ilf_type(range_of(sK16(X0)),subset_type(X0))
| ~ ilf_type(sK16(X0),relation_type(X0,X0)) ),
inference(superposition,[],[f295,f421]) ).
fof(f428,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,[],[f295,f249]) ).
fof(f295,plain,
! [X2,X0,X1] :
( ilf_type(range(X0,X1,X2),subset_type(X1))
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182,f239,f185,f240,f186,f241,f187,f242,f243,f188,f244,f245,f190,f246,f247,f189,f248,f249,f194,f250,f251,f193,f252,f253,f192,f254,f255,f191,f256,f257,f258,f198,f259,f260,f197,f261,f262,f196,f263,f264,f195,f265,f266,f267,f200,f268,f269,f199,f270,f271,f202,f272,f273,f201,f274,f275,f224,f276,f277,f204,f278,f279,f280,f203,f281,f282,f283,f206,f284,f285,f286,f207,f287,f288,f289,f208,f290,f291,f209,f292,f293,f210,f294]) ).
fof(f424,plain,
! [X0,X1] : domain(X0,X1,sK15(X1,X0)) = domain_of(sK15(X1,X0)),
inference(resolution,[],[f293,f299]) ).
fof(f427,plain,
! [X0,X1] : domain(X0,X1,sK18(power_set(cross_product(X0,X1)))) = domain_of(sK18(power_set(cross_product(X0,X1)))),
inference(resolution,[],[f293,f391]) ).
fof(f426,plain,
! [X0,X1] : domain(X0,X1,sK17(cross_product(X0,X1))) = domain_of(sK17(cross_product(X0,X1))),
inference(resolution,[],[f293,f390]) ).
fof(f293,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| domain(X0,X1,X2) = domain_of(X2) ),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182,f239,f185,f240,f186,f241,f187,f242,f243,f188,f244,f245,f190,f246,f247,f189,f248,f249,f194,f250,f251,f193,f252,f253,f192,f254,f255,f191,f256,f257,f258,f198,f259,f260,f197,f261,f262,f196,f263,f264,f195,f265,f266,f267,f200,f268,f269,f199,f270,f271,f202,f272,f273,f201,f274,f275,f224,f276,f277,f204,f278,f279,f280,f203,f281,f282,f283,f206,f284,f285,f286,f207,f287,f288,f289,f208,f290,f291,f209,f292]) ).
fof(f421,plain,
! [X0] : range_of(sK16(X0)) = range(X0,X0,sK16(X0)),
inference(resolution,[],[f416,f302]) ).
fof(f419,plain,
range_of(sK5) = range(sK4,sK4,sK5),
inference(resolution,[],[f416,f145]) ).
fof(f423,plain,
! [X0] : range_of(sK18(power_set(cross_product(X0,X0)))) = range(X0,X0,sK18(power_set(cross_product(X0,X0)))),
inference(resolution,[],[f416,f393]) ).
fof(f422,plain,
! [X0] : range_of(sK17(cross_product(X0,X0))) = range(X0,X0,sK17(cross_product(X0,X0))),
inference(resolution,[],[f416,f392]) ).
fof(f416,plain,
! [X0,X1] :
( ~ ilf_type(X1,identity_relation_of_type(X0))
| range_of(X1) = range(X0,X0,X1) ),
inference(resolution,[],[f291,f271]) ).
fof(f415,plain,
! [X0,X1] : range(X0,X1,sK15(X1,X0)) = range_of(sK15(X1,X0)),
inference(resolution,[],[f291,f299]) ).
fof(f418,plain,
! [X0,X1] : range(X0,X1,sK18(power_set(cross_product(X0,X1)))) = range_of(sK18(power_set(cross_product(X0,X1)))),
inference(resolution,[],[f291,f391]) ).
fof(f417,plain,
! [X0,X1] : range(X0,X1,sK17(cross_product(X0,X1))) = range_of(sK17(cross_product(X0,X1))),
inference(resolution,[],[f291,f390]) ).
fof(f291,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| range(X0,X1,X2) = range_of(X2) ),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182,f239,f185,f240,f186,f241,f187,f242,f243,f188,f244,f245,f190,f246,f247,f189,f248,f249,f194,f250,f251,f193,f252,f253,f192,f254,f255,f191,f256,f257,f258,f198,f259,f260,f197,f261,f262,f196,f263,f264,f195,f265,f266,f267,f200,f268,f269,f199,f270,f271,f202,f272,f273,f201,f274,f275,f224,f276,f277,f204,f278,f279,f280,f203,f281,f282,f283,f206,f284,f285,f286,f207,f287,f288,f289,f208,f290]) ).
fof(f377,plain,
! [X0,X1] :
( ~ subset(X0,sK12(power_set(X1)))
| member(sK12(X0),X1)
| empty(X0) ),
inference(resolution,[],[f371,f321]) ).
fof(f376,plain,
! [X0,X1] :
( ~ subset(X0,sK12(power_set(X1)))
| member(sK9(X0),X1)
| sP2(X0) ),
inference(resolution,[],[f371,f320]) ).
fof(f410,plain,
! [X2,X0,X1] :
( member(sK13(X0,X1),X2)
| sP2(power_set(X2))
| ~ subset(X0,sK9(power_set(X2)))
| subset(X0,X1) ),
inference(resolution,[],[f365,f322]) ).
fof(f409,plain,
! [X0,X1] :
( member(sK12(X0),X1)
| sP2(power_set(X1))
| ~ subset(X0,sK9(power_set(X1)))
| empty(X0) ),
inference(resolution,[],[f365,f321]) ).
fof(f408,plain,
! [X0,X1] :
( member(sK9(X0),X1)
| sP2(power_set(X1))
| ~ subset(X0,sK9(power_set(X1)))
| sP2(X0) ),
inference(resolution,[],[f365,f320]) ).
fof(f407,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,[],[f365,f262]) ).
fof(f406,plain,
! [X0,X1] :
( member(sK13(sK9(power_set(X0)),X1),X0)
| sP2(power_set(X0))
| subset(sK9(power_set(X0)),X1) ),
inference(resolution,[],[f365,f253]) ).
fof(f405,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,[],[f365,f373]) ).
fof(f404,plain,
! [X0] :
( member(sK12(sK9(power_set(X0))),X0)
| sP2(power_set(X0))
| empty(sK9(power_set(X0))) ),
inference(resolution,[],[f365,f235]) ).
fof(f403,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,[],[f365,f372]) ).
fof(f402,plain,
! [X0] :
( member(sK9(sK9(power_set(X0))),X0)
| sP2(power_set(X0))
| sP2(sK9(power_set(X0))) ),
inference(resolution,[],[f365,f176]) ).
fof(f365,plain,
! [X0,X1] :
( ~ member(X0,sK9(power_set(X1)))
| member(X0,X1)
| sP2(power_set(X1)) ),
inference(resolution,[],[f267,f176]) ).
fof(f396,plain,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| subset(X0,X2)
| ~ empty(X1) ),
inference(resolution,[],[f322,f312]) ).
fof(f398,plain,
! [X2,X0,X1] :
( ~ subset(X0,sK12(power_set(X1)))
| subset(X0,X2)
| member(sK13(X0,X2),X1) ),
inference(resolution,[],[f322,f371]) ).
fof(f397,plain,
! [X2,X3,X0,X1] :
( ~ subset(X0,power_set(X1))
| subset(X0,X2)
| ~ member(X3,sK13(X0,X2))
| member(X3,X1) ),
inference(resolution,[],[f322,f267]) ).
fof(f395,plain,
! [X2,X3,X0,X1] :
( ~ subset(X0,X1)
| subset(X0,X2)
| member(sK13(X0,X2),X3)
| ~ subset(X1,X3) ),
inference(resolution,[],[f322,f258]) ).
fof(f322,plain,
! [X2,X0,X1] :
( member(sK13(X0,X1),X2)
| ~ subset(X0,X2)
| subset(X0,X1) ),
inference(resolution,[],[f258,f253]) ).
fof(f393,plain,
! [X0] : ilf_type(sK18(power_set(cross_product(X0,X0))),identity_relation_of_type(X0)),
inference(resolution,[],[f391,f269]) ).
fof(f391,plain,
! [X0,X1] : ilf_type(sK18(power_set(cross_product(X0,X1))),relation_type(X0,X1)),
inference(resolution,[],[f249,f338]) ).
fof(f392,plain,
! [X0] : ilf_type(sK17(cross_product(X0,X0)),identity_relation_of_type(X0)),
inference(resolution,[],[f390,f269]) ).
fof(f390,plain,
! [X0,X1] : ilf_type(sK17(cross_product(X0,X1)),relation_type(X0,X1)),
inference(resolution,[],[f249,f303]) ).
fof(f249,plain,
! [X3,X0,X1] :
( ~ ilf_type(X3,subset_type(cross_product(X0,X1)))
| ilf_type(X3,relation_type(X0,X1)) ),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182,f239,f185,f240,f186,f241,f187,f242,f243,f188,f244,f245,f190,f246,f247,f189,f248]) ).
fof(f385,plain,
! [X0] :
( empty(sK12(power_set(X0)))
| ~ empty(X0) ),
inference(resolution,[],[f373,f312]) ).
fof(f387,plain,
! [X0] :
( empty(sK12(power_set(sK12(power_set(X0)))))
| member(sK12(sK12(power_set(sK12(power_set(X0))))),X0) ),
inference(resolution,[],[f373,f371]) ).
fof(f386,plain,
! [X0,X1] :
( empty(sK12(power_set(power_set(X0))))
| ~ member(X1,sK12(sK12(power_set(power_set(X0)))))
| member(X1,X0) ),
inference(resolution,[],[f373,f267]) ).
fof(f384,plain,
! [X0,X1] :
( empty(sK12(power_set(X0)))
| member(sK12(sK12(power_set(X0))),X1)
| ~ subset(X0,X1) ),
inference(resolution,[],[f373,f258]) ).
fof(f373,plain,
! [X0] :
( member(sK12(sK12(power_set(X0))),X0)
| empty(sK12(power_set(X0))) ),
inference(resolution,[],[f371,f235]) ).
fof(f383,plain,
! [X0,X1] :
( relation_like(compose(X1,X0))
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X0,binary_relation_type) ),
inference(resolution,[],[f151,f239]) ).
fof(f382,plain,
! [X0] :
( relation_like(sK12(power_set(X0)))
| ~ empty(X0) ),
inference(resolution,[],[f379,f310]) ).
fof(f379,plain,
! [X0] :
( sP2(sK12(power_set(X0)))
| ~ empty(X0) ),
inference(resolution,[],[f372,f312]) ).
fof(f381,plain,
! [X0] :
( sP2(sK12(power_set(sK12(power_set(X0)))))
| member(sK9(sK12(power_set(sK12(power_set(X0))))),X0) ),
inference(resolution,[],[f372,f371]) ).
fof(f380,plain,
! [X0,X1] :
( sP2(sK12(power_set(power_set(X0))))
| ~ member(X1,sK9(sK12(power_set(power_set(X0)))))
| member(X1,X0) ),
inference(resolution,[],[f372,f267]) ).
fof(f378,plain,
! [X0,X1] :
( sP2(sK12(power_set(X0)))
| member(sK9(sK12(power_set(X0))),X1)
| ~ subset(X0,X1) ),
inference(resolution,[],[f372,f258]) ).
fof(f372,plain,
! [X0] :
( member(sK9(sK12(power_set(X0))),X0)
| sP2(sK12(power_set(X0))) ),
inference(resolution,[],[f371,f176]) ).
fof(f332,plain,
! [X0,X1] :
( ~ empty(sK14(X0,power_set(X1)))
| member(X0,power_set(power_set(X1))) ),
inference(resolution,[],[f325,f260]) ).
fof(f375,plain,
! [X0,X1] :
( member(sK14(sK12(power_set(X0)),X1),X0)
| member(sK12(power_set(X0)),power_set(X1)) ),
inference(resolution,[],[f371,f262]) ).
fof(f374,plain,
! [X0,X1] :
( member(sK13(sK12(power_set(X0)),X1),X0)
| subset(sK12(power_set(X0)),X1) ),
inference(resolution,[],[f371,f253]) ).
fof(f371,plain,
! [X0,X1] :
( ~ member(X0,sK12(power_set(X1)))
| member(X0,X1) ),
inference(subsumption_resolution,[],[f366,f233]) ).
fof(f366,plain,
! [X0,X1] :
( ~ member(X0,sK12(power_set(X1)))
| member(X0,X1)
| empty(power_set(X1)) ),
inference(resolution,[],[f267,f235]) ).
fof(f370,plain,
! [X2,X0,X1] :
( ~ member(X0,sK12(X1))
| member(X0,X2)
| ~ subset(X1,power_set(X2))
| empty(X1) ),
inference(resolution,[],[f267,f321]) ).
fof(f369,plain,
! [X2,X0,X1] :
( ~ member(X0,sK9(X1))
| member(X0,X2)
| ~ subset(X1,power_set(X2))
| sP2(X1) ),
inference(resolution,[],[f267,f320]) ).
fof(f368,plain,
! [X2,X0,X1] :
( ~ member(X0,sK14(power_set(X1),X2))
| member(X0,X1)
| member(power_set(X1),power_set(X2)) ),
inference(resolution,[],[f267,f262]) ).
fof(f367,plain,
! [X2,X0,X1] :
( ~ member(X0,sK13(power_set(X1),X2))
| member(X0,X1)
| subset(power_set(X1),X2) ),
inference(resolution,[],[f267,f253]) ).
fof(f267,plain,
! [X3,X0,X1] :
( ~ member(X0,power_set(X1))
| ~ member(X3,X0)
| member(X3,X1) ),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182,f239,f185,f240,f186,f241,f187,f242,f243,f188,f244,f245,f190,f246,f247,f189,f248,f249,f194,f250,f251,f193,f252,f253,f192,f254,f255,f191,f256,f257,f258,f198,f259,f260,f197,f261,f262,f196,f263,f264,f195,f265,f266]) ).
fof(f331,plain,
! [X0,X1] :
( ~ empty(sK13(X0,power_set(X1)))
| subset(X0,power_set(X1)) ),
inference(resolution,[],[f325,f251]) ).
fof(f329,plain,
! [X2,X0,X1] :
( ~ subset(power_set(X2),X1)
| member(X0,X1)
| ~ empty(X0) ),
inference(resolution,[],[f325,f258]) ).
fof(f349,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f321,f312]) ).
fof(f357,plain,
( sK5 != compose(identity_relation_of(sK4),sK5)
| spl20_2 ),
inference(avatar_component_clause,[],[f355]) ).
fof(f355,plain,
( spl20_2
<=> sK5 = compose(identity_relation_of(sK4),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_2])]) ).
fof(f348,plain,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| empty(X0)
| member(sK12(X0),X2)
| ~ subset(X1,X2) ),
inference(resolution,[],[f321,f258]) ).
fof(f321,plain,
! [X0,X1] :
( member(sK12(X0),X1)
| ~ subset(X0,X1)
| empty(X0) ),
inference(resolution,[],[f258,f235]) ).
fof(f345,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| sP2(X0)
| ~ empty(X1) ),
inference(resolution,[],[f320,f312]) ).
fof(f344,plain,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| sP2(X0)
| member(sK9(X0),X2)
| ~ subset(X1,X2) ),
inference(resolution,[],[f320,f258]) ).
fof(f320,plain,
! [X0,X1] :
( member(sK9(X0),X1)
| ~ subset(X0,X1)
| sP2(X0) ),
inference(resolution,[],[f258,f176]) ).
fof(f283,plain,
! [X2,X0,X1] :
( ~ member(ordered_pair(X1,X2),identity_relation_of(X0))
| member(X1,X0) ),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182,f239,f185,f240,f186,f241,f187,f242,f243,f188,f244,f245,f190,f246,f247,f189,f248,f249,f194,f250,f251,f193,f252,f253,f192,f254,f255,f191,f256,f257,f258,f198,f259,f260,f197,f261,f262,f196,f263,f264,f195,f265,f266,f267,f200,f268,f269,f199,f270,f271,f202,f272,f273,f201,f274,f275,f224,f276,f277,f204,f278,f279,f280,f203,f281,f282]) ).
fof(f280,plain,
! [X2,X0,X1] :
( ~ member(ordered_pair(X1,X2),identity_relation_of(X0))
| X1 = X2 ),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182,f239,f185,f240,f186,f241,f187,f242,f243,f188,f244,f245,f190,f246,f247,f189,f248,f249,f194,f250,f251,f193,f252,f253,f192,f254,f255,f191,f256,f257,f258,f198,f259,f260,f197,f261,f262,f196,f263,f264,f195,f265,f266,f267,f200,f268,f269,f199,f270,f271,f202,f272,f273,f201,f274,f275,f224,f276,f277,f204,f278,f279]) ).
fof(f341,plain,
! [X0,X1] :
( ~ empty(identity_relation_of(X1))
| ~ member(X0,X1) ),
inference(resolution,[],[f277,f312]) ).
fof(f340,plain,
! [X2,X0,X1] :
( ~ member(X0,X1)
| member(ordered_pair(X0,X0),X2)
| ~ subset(identity_relation_of(X1),X2) ),
inference(resolution,[],[f277,f258]) ).
fof(f277,plain,
! [X2,X0] :
( member(ordered_pair(X2,X2),identity_relation_of(X0))
| ~ member(X2,X0) ),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182,f239,f185,f240,f186,f241,f187,f242,f243,f188,f244,f245,f190,f246,f247,f189,f248,f249,f194,f250,f251,f193,f252,f253,f192,f254,f255,f191,f256,f257,f258,f198,f259,f260,f197,f261,f262,f196,f263,f264,f195,f265,f266,f267,f200,f268,f269,f199,f270,f271,f202,f272,f273,f201,f274,f275,f224,f276]) ).
fof(f275,plain,
! [X0,X1] :
( ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0)) ),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182,f239,f185,f240,f186,f241,f187,f242,f243,f188,f244,f245,f190,f246,f247,f189,f248,f249,f194,f250,f251,f193,f252,f253,f192,f254,f255,f191,f256,f257,f258,f198,f259,f260,f197,f261,f262,f196,f263,f264,f195,f265,f266,f267,f200,f268,f269,f199,f270,f271,f202,f272,f273,f201,f274]) ).
fof(f338,plain,
! [X0] : ilf_type(sK18(power_set(X0)),subset_type(X0)),
inference(subsumption_resolution,[],[f337,f233]) ).
fof(f337,plain,
! [X0] :
( ilf_type(sK18(power_set(X0)),subset_type(X0))
| empty(power_set(X0)) ),
inference(resolution,[],[f273,f304]) ).
fof(f273,plain,
! [X0,X1] :
( ~ ilf_type(X1,member_type(power_set(X0)))
| ilf_type(X1,subset_type(X0)) ),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182,f239,f185,f240,f186,f241,f187,f242,f243,f188,f244,f245,f190,f246,f247,f189,f248,f249,f194,f250,f251,f193,f252,f253,f192,f254,f255,f191,f256,f257,f258,f198,f259,f260,f197,f261,f262,f196,f263,f264,f195,f265,f266,f267,f200,f268,f269,f199,f270,f271,f202,f272]) ).
fof(f335,plain,
! [X0] : ilf_type(sK15(X0,X0),identity_relation_of_type(X0)),
inference(resolution,[],[f269,f299]) ).
fof(f271,plain,
! [X0,X1] :
( ilf_type(X1,relation_type(X0,X0))
| ~ ilf_type(X1,identity_relation_of_type(X0)) ),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182,f239,f185,f240,f186,f241,f187,f242,f243,f188,f244,f245,f190,f246,f247,f189,f248,f249,f194,f250,f251,f193,f252,f253,f192,f254,f255,f191,f256,f257,f258,f198,f259,f260,f197,f261,f262,f196,f263,f264,f195,f265,f266,f267,f200,f268,f269,f199,f270]) ).
fof(f269,plain,
! [X0,X1] :
( ~ ilf_type(X1,relation_type(X0,X0))
| ilf_type(X1,identity_relation_of_type(X0)) ),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182,f239,f185,f240,f186,f241,f187,f242,f243,f188,f244,f245,f190,f246,f247,f189,f248,f249,f194,f250,f251,f193,f252,f253,f192,f254,f255,f191,f256,f257,f258,f198,f259,f260,f197,f261,f262,f196,f263,f264,f195,f265,f266,f267,f200,f268]) ).
fof(f327,plain,
! [X0,X1] :
( ~ subset(power_set(X0),X1)
| member(X0,X1) ),
inference(resolution,[],[f326,f258]) ).
fof(f325,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ~ empty(X0) ),
inference(resolution,[],[f262,f312]) ).
fof(f326,plain,
! [X0] : member(X0,power_set(X0)),
inference(duplicate_literal_removal,[],[f323]) ).
fof(f323,plain,
! [X0] :
( member(X0,power_set(X0))
| member(X0,power_set(X0)) ),
inference(resolution,[],[f262,f260]) ).
fof(f324,plain,
! [X2,X0,X1] :
( member(X0,power_set(X1))
| member(sK14(X0,X1),X2)
| ~ subset(X0,X2) ),
inference(resolution,[],[f262,f258]) ).
fof(f262,plain,
! [X0,X1] :
( member(sK14(X0,X1),X0)
| member(X0,power_set(X1)) ),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182,f239,f185,f240,f186,f241,f187,f242,f243,f188,f244,f245,f190,f246,f247,f189,f248,f249,f194,f250,f251,f193,f252,f253,f192,f254,f255,f191,f256,f257,f258,f198,f259,f260,f197,f261]) ).
fof(f260,plain,
! [X0,X1] :
( ~ member(sK14(X0,X1),X1)
| member(X0,power_set(X1)) ),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182,f239,f185,f240,f186,f241,f187,f242,f243,f188,f244,f245,f190,f246,f247,f189,f248,f249,f194,f250,f251,f193,f252,f253,f192,f254,f255,f191,f256,f257,f258,f198,f259]) ).
fof(f258,plain,
! [X3,X0,X1] :
( ~ member(X3,X0)
| member(X3,X1)
| ~ subset(X0,X1) ),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182,f239,f185,f240,f186,f241,f187,f242,f243,f188,f244,f245,f190,f246,f247,f189,f248,f249,f194,f250,f251,f193,f252,f253,f192,f254,f255,f191,f256,f257]) ).
fof(f319,plain,
! [X0,X1] :
( ~ ilf_type(X0,binary_relation_type)
| ~ ilf_type(X1,binary_relation_type)
| ~ sP0(X0,X1)
| X0 = X1 ),
inference(resolution,[],[f161,f154]) ).
fof(f317,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ empty(X0) ),
inference(resolution,[],[f253,f312]) ).
fof(f253,plain,
! [X0,X1] :
( member(sK13(X0,X1),X0)
| subset(X0,X1) ),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182,f239,f185,f240,f186,f241,f187,f242,f243,f188,f244,f245,f190,f246,f247,f189,f248,f249,f194,f250,f251,f193,f252]) ).
fof(f251,plain,
! [X0,X1] :
( ~ member(sK13(X0,X1),X1)
| subset(X0,X1) ),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182,f239,f185,f240,f186,f241,f187,f242,f243,f188,f244,f245,f190,f246,f247,f189,f248,f249,f194,f250]) ).
fof(f313,plain,
! [X0] :
( sP2(X0)
| ~ empty(X0) ),
inference(resolution,[],[f312,f176]) ).
fof(f312,plain,
! [X2,X0] :
( ~ member(X2,X0)
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f237,f147]) ).
fof(f304,plain,
! [X0] :
( ilf_type(sK18(X0),member_type(X0))
| empty(X0) ),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182,f239,f185,f240,f186,f241,f187,f242,f243,f188,f244,f245,f190,f246,f247,f189,f248,f249,f194,f250,f251,f193,f252,f253,f192,f254,f255,f191,f256,f257,f258,f198,f259,f260,f197,f261,f262,f196,f263,f264,f195,f265,f266,f267,f200,f268,f269,f199,f270,f271,f202,f272,f273,f201,f274,f275,f224,f276,f277,f204,f278,f279,f280,f203,f281,f282,f283,f206,f284,f285,f286,f207,f287,f288,f289,f208,f290,f291,f209,f292,f293,f210,f294,f295,f211,f296,f297,f212,f213,f298,f299,f215,f300,f214,f301,f216,f302,f217,f303,f218]) ).
fof(f299,plain,
! [X0,X1] : ilf_type(sK15(X0,X1),relation_type(X1,X0)),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182,f239,f185,f240,f186,f241,f187,f242,f243,f188,f244,f245,f190,f246,f247,f189,f248,f249,f194,f250,f251,f193,f252,f253,f192,f254,f255,f191,f256,f257,f258,f198,f259,f260,f197,f261,f262,f196,f263,f264,f195,f265,f266,f267,f200,f268,f269,f199,f270,f271,f202,f272,f273,f201,f274,f275,f224,f276,f277,f204,f278,f279,f280,f203,f281,f282,f283,f206,f284,f285,f286,f207,f287,f288,f289,f208,f290,f291,f209,f292,f293,f210,f294,f295,f211,f296,f297,f212,f213,f298]) ).
fof(f310,plain,
! [X0] :
( ~ sP2(X0)
| relation_like(X0) ),
inference(subsumption_resolution,[],[f171,f234]) ).
fof(f309,plain,
! [X0] :
( sP2(X0)
| ~ relation_like(X0) ),
inference(subsumption_resolution,[],[f170,f234]) ).
fof(f303,plain,
! [X0] : ilf_type(sK17(X0),subset_type(X0)),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182,f239,f185,f240,f186,f241,f187,f242,f243,f188,f244,f245,f190,f246,f247,f189,f248,f249,f194,f250,f251,f193,f252,f253,f192,f254,f255,f191,f256,f257,f258,f198,f259,f260,f197,f261,f262,f196,f263,f264,f195,f265,f266,f267,f200,f268,f269,f199,f270,f271,f202,f272,f273,f201,f274,f275,f224,f276,f277,f204,f278,f279,f280,f203,f281,f282,f283,f206,f284,f285,f286,f207,f287,f288,f289,f208,f290,f291,f209,f292,f293,f210,f294,f295,f211,f296,f297,f212,f213,f298,f299,f215,f300,f214,f301,f216,f302,f217]) ).
fof(f302,plain,
! [X0] : ilf_type(sK16(X0),identity_relation_of_type(X0)),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182,f239,f185,f240,f186,f241,f187,f242,f243,f188,f244,f245,f190,f246,f247,f189,f248,f249,f194,f250,f251,f193,f252,f253,f192,f254,f255,f191,f256,f257,f258,f198,f259,f260,f197,f261,f262,f196,f263,f264,f195,f265,f266,f267,f200,f268,f269,f199,f270,f271,f202,f272,f273,f201,f274,f275,f224,f276,f277,f204,f278,f279,f280,f203,f281,f282,f283,f206,f284,f285,f286,f207,f287,f288,f289,f208,f290,f291,f209,f292,f293,f210,f294,f295,f211,f296,f297,f212,f213,f298,f299,f215,f300,f214,f301,f216]) ).
fof(f307,plain,
! [X0] : relation_like(identity_relation_of(X0)),
inference(resolution,[],[f239,f231]) ).
fof(f306,plain,
relation_like(sK19),
inference(resolution,[],[f239,f220]) ).
fof(f305,plain,
! [X0] :
( ~ empty(X0)
| relation_like(X0) ),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182,f239,f185,f240,f186,f241,f187,f242,f243,f188,f244,f245,f190,f246,f247,f189,f248,f249,f194,f250,f251,f193,f252,f253,f192,f254,f255,f191,f256,f257,f258,f198,f259,f260,f197,f261,f262,f196,f263,f264,f195,f265,f266,f267,f200,f268,f269,f199,f270,f271,f202,f272,f273,f201,f274,f275,f224,f276,f277,f204,f278,f279,f280,f203,f281,f282,f283,f206,f284,f285,f286,f207,f287,f288,f289,f208,f290,f291,f209,f292,f293,f210,f294,f295,f211,f296,f297,f212,f213,f298,f299,f215,f300,f214,f301,f216,f302,f217,f303,f218,f304,f219]) ).
fof(f220,plain,
ilf_type(sK19,binary_relation_type),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
ilf_type(sK19,binary_relation_type),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f14,f142]) ).
fof(f142,plain,
( ? [X0] : ilf_type(X0,binary_relation_type)
=> ilf_type(sK19,binary_relation_type) ),
introduced(choice_axiom,[]) ).
fof(f14,axiom,
? [X0] : ilf_type(X0,binary_relation_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14) ).
fof(f219,plain,
! [X0] :
( relation_like(X0)
| ~ ilf_type(X0,set_type)
| ~ empty(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0] :
( relation_like(X0)
| ~ ilf_type(X0,set_type)
| ~ empty(X0) ),
inference(flattening,[],[f86]) ).
fof(f86,plain,
! [X0] :
( relation_like(X0)
| ~ ilf_type(X0,set_type)
| ~ empty(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] :
( ( ilf_type(X0,set_type)
& empty(X0) )
=> relation_like(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p31) ).
fof(f218,plain,
! [X0] :
( ilf_type(sK18(X0),member_type(X0))
| ~ ilf_type(X0,set_type)
| empty(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0] :
( ilf_type(sK18(X0),member_type(X0))
| ~ ilf_type(X0,set_type)
| empty(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f85,f140]) ).
fof(f140,plain,
! [X0] :
( ? [X1] : ilf_type(X1,member_type(X0))
=> ilf_type(sK18(X0),member_type(X0)) ),
introduced(choice_axiom,[]) ).
fof(f85,plain,
! [X0] :
( ? [X1] : ilf_type(X1,member_type(X0))
| ~ ilf_type(X0,set_type)
| empty(X0) ),
inference(flattening,[],[f84]) ).
fof(f84,plain,
! [X0] :
( ? [X1] : ilf_type(X1,member_type(X0))
| ~ ilf_type(X0,set_type)
| empty(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] :
( ( ilf_type(X0,set_type)
& ~ empty(X0) )
=> ? [X1] : ilf_type(X1,member_type(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p29) ).
fof(f217,plain,
! [X0] :
( ilf_type(sK17(X0),subset_type(X0))
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0] :
( ilf_type(sK17(X0),subset_type(X0))
| ~ ilf_type(X0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f83,f138]) ).
fof(f138,plain,
! [X0] :
( ? [X1] : ilf_type(X1,subset_type(X0))
=> ilf_type(sK17(X0),subset_type(X0)) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
! [X0] :
( ? [X1] : ilf_type(X1,subset_type(X0))
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ? [X1] : ilf_type(X1,subset_type(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23) ).
fof(f216,plain,
! [X0] :
( ilf_type(sK16(X0),identity_relation_of_type(X0))
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0] :
( ilf_type(sK16(X0),identity_relation_of_type(X0))
| ~ ilf_type(X0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f82,f136]) ).
fof(f136,plain,
! [X0] :
( ? [X1] : ilf_type(X1,identity_relation_of_type(X0))
=> ilf_type(sK16(X0),identity_relation_of_type(X0)) ),
introduced(choice_axiom,[]) ).
fof(f82,plain,
! [X0] :
( ? [X1] : ilf_type(X1,identity_relation_of_type(X0))
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ? [X1] : ilf_type(X1,identity_relation_of_type(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8) ).
fof(f301,plain,
! [X0,X1] :
( member(X0,X1)
| ~ ilf_type(X0,member_type(X1))
| empty(X1)
| ~ ilf_type(X0,set_type) ),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182,f239,f185,f240,f186,f241,f187,f242,f243,f188,f244,f245,f190,f246,f247,f189,f248,f249,f194,f250,f251,f193,f252,f253,f192,f254,f255,f191,f256,f257,f258,f198,f259,f260,f197,f261,f262,f196,f263,f264,f195,f265,f266,f267,f200,f268,f269,f199,f270,f271,f202,f272,f273,f201,f274,f275,f224,f276,f277,f204,f278,f279,f280,f203,f281,f282,f283,f206,f284,f285,f286,f207,f287,f288,f289,f208,f290,f291,f209,f292,f293,f210,f294,f295,f211,f296,f297,f212,f213,f298,f299,f215,f300,f214]) ).
fof(f214,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,[],[f135]) ).
fof(f135,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,[],[f81]) ).
fof(f81,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,[],[f80]) ).
fof(f80,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,[],[f28]) ).
fof(f28,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/sandbox2/benchmark/theBenchmark.p',p28) ).
fof(f300,plain,
! [X0,X1] :
( ilf_type(X0,member_type(X1))
| ~ member(X0,X1)
| empty(X1)
| ~ ilf_type(X0,set_type) ),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182,f239,f185,f240,f186,f241,f187,f242,f243,f188,f244,f245,f190,f246,f247,f189,f248,f249,f194,f250,f251,f193,f252,f253,f192,f254,f255,f191,f256,f257,f258,f198,f259,f260,f197,f261,f262,f196,f263,f264,f195,f265,f266,f267,f200,f268,f269,f199,f270,f271,f202,f272,f273,f201,f274,f275,f224,f276,f277,f204,f278,f279,f280,f203,f281,f282,f283,f206,f284,f285,f286,f207,f287,f288,f289,f208,f290,f291,f209,f292,f293,f210,f294,f295,f211,f296,f297,f212,f213,f298,f299,f215]) ).
fof(f215,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,[],[f135]) ).
fof(f298,plain,
! [X0,X1] :
( ilf_type(sK15(X0,X1),relation_type(X1,X0))
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182,f239,f185,f240,f186,f241,f187,f242,f243,f188,f244,f245,f190,f246,f247,f189,f248,f249,f194,f250,f251,f193,f252,f253,f192,f254,f255,f191,f256,f257,f258,f198,f259,f260,f197,f261,f262,f196,f263,f264,f195,f265,f266,f267,f200,f268,f269,f199,f270,f271,f202,f272,f273,f201,f274,f275,f224,f276,f277,f204,f278,f279,f280,f203,f281,f282,f283,f206,f284,f285,f286,f207,f287,f288,f289,f208,f290,f291,f209,f292,f293,f210,f294,f295,f211,f296,f297,f212,f213]) ).
fof(f213,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,[],[f134]) ).
fof(f134,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])],[f79,f133]) ).
fof(f133,plain,
! [X0,X1] :
( ? [X2] : ilf_type(X2,relation_type(X1,X0))
=> ilf_type(sK15(X0,X1),relation_type(X1,X0)) ),
introduced(choice_axiom,[]) ).
fof(f79,plain,
! [X0] :
( ! [X1] :
( ? [X2] : ilf_type(X2,relation_type(X1,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)
=> ? [X2] : ilf_type(X2,relation_type(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16) ).
fof(f296,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,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182,f239,f185,f240,f186,f241,f187,f242,f243,f188,f244,f245,f190,f246,f247,f189,f248,f249,f194,f250,f251,f193,f252,f253,f192,f254,f255,f191,f256,f257,f258,f198,f259,f260,f197,f261,f262,f196,f263,f264,f195,f265,f266,f267,f200,f268,f269,f199,f270,f271,f202,f272,f273,f201,f274,f275,f224,f276,f277,f204,f278,f279,f280,f203,f281,f282,f283,f206,f284,f285,f286,f207,f287,f288,f289,f208,f290,f291,f209,f292,f293,f210,f294,f295,f211]) ).
fof(f211,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,[],[f77]) ).
fof(f77,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,[],[f33]) ).
fof(f33,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/sandbox2/benchmark/theBenchmark.p',p33) ).
fof(f294,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,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182,f239,f185,f240,f186,f241,f187,f242,f243,f188,f244,f245,f190,f246,f247,f189,f248,f249,f194,f250,f251,f193,f252,f253,f192,f254,f255,f191,f256,f257,f258,f198,f259,f260,f197,f261,f262,f196,f263,f264,f195,f265,f266,f267,f200,f268,f269,f199,f270,f271,f202,f272,f273,f201,f274,f275,f224,f276,f277,f204,f278,f279,f280,f203,f281,f282,f283,f206,f284,f285,f286,f207,f287,f288,f289,f208,f290,f291,f209,f292,f293,f210]) ).
fof(f210,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,[],[f76]) ).
fof(f76,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,[],[f35]) ).
fof(f35,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/sandbox2/benchmark/theBenchmark.p',p35) ).
fof(f292,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,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182,f239,f185,f240,f186,f241,f187,f242,f243,f188,f244,f245,f190,f246,f247,f189,f248,f249,f194,f250,f251,f193,f252,f253,f192,f254,f255,f191,f256,f257,f258,f198,f259,f260,f197,f261,f262,f196,f263,f264,f195,f265,f266,f267,f200,f268,f269,f199,f270,f271,f202,f272,f273,f201,f274,f275,f224,f276,f277,f204,f278,f279,f280,f203,f281,f282,f283,f206,f284,f285,f286,f207,f287,f288,f289,f208,f290,f291,f209]) ).
fof(f209,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,[],[f75]) ).
fof(f75,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,[],[f32]) ).
fof(f32,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/sandbox2/benchmark/theBenchmark.p',p32) ).
fof(f290,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,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182,f239,f185,f240,f186,f241,f187,f242,f243,f188,f244,f245,f190,f246,f247,f189,f248,f249,f194,f250,f251,f193,f252,f253,f192,f254,f255,f191,f256,f257,f258,f198,f259,f260,f197,f261,f262,f196,f263,f264,f195,f265,f266,f267,f200,f268,f269,f199,f270,f271,f202,f272,f273,f201,f274,f275,f224,f276,f277,f204,f278,f279,f280,f203,f281,f282,f283,f206,f284,f285,f286,f207,f287,f288,f289,f208]) ).
fof(f208,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,[],[f74]) ).
fof(f74,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,[],[f34]) ).
fof(f34,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/sandbox2/benchmark/theBenchmark.p',p34) ).
fof(f289,plain,
! [X2,X3,X0,X1,X4] :
( ilf_type(compose5(X0,X1,X2,X3,X4),relation_type(X0,X2))
| ~ ilf_type(X4,relation_type(X1,X2))
| ~ ilf_type(X3,relation_type(X0,X1)) ),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182,f239,f185,f240,f186,f241,f187,f242,f243,f188,f244,f245,f190,f246,f247,f189,f248,f249,f194,f250,f251,f193,f252,f253,f192,f254,f255,f191,f256,f257,f258,f198,f259,f260,f197,f261,f262,f196,f263,f264,f195,f265,f266,f267,f200,f268,f269,f199,f270,f271,f202,f272,f273,f201,f274,f275,f224,f276,f277,f204,f278,f279,f280,f203,f281,f282,f283,f206,f284,f285,f286,f207,f287,f288]) ).
fof(f288,plain,
! [X2,X3,X0,X1,X4] :
( ilf_type(compose5(X0,X1,X2,X3,X4),relation_type(X0,X2))
| ~ ilf_type(X4,relation_type(X1,X2))
| ~ ilf_type(X3,relation_type(X0,X1))
| ~ ilf_type(X2,set_type) ),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182,f239,f185,f240,f186,f241,f187,f242,f243,f188,f244,f245,f190,f246,f247,f189,f248,f249,f194,f250,f251,f193,f252,f253,f192,f254,f255,f191,f256,f257,f258,f198,f259,f260,f197,f261,f262,f196,f263,f264,f195,f265,f266,f267,f200,f268,f269,f199,f270,f271,f202,f272,f273,f201,f274,f275,f224,f276,f277,f204,f278,f279,f280,f203,f281,f282,f283,f206,f284,f285,f286,f207,f287]) ).
fof(f287,plain,
! [X2,X3,X0,X1,X4] :
( ilf_type(compose5(X0,X1,X2,X3,X4),relation_type(X0,X2))
| ~ ilf_type(X4,relation_type(X1,X2))
| ~ ilf_type(X3,relation_type(X0,X1))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182,f239,f185,f240,f186,f241,f187,f242,f243,f188,f244,f245,f190,f246,f247,f189,f248,f249,f194,f250,f251,f193,f252,f253,f192,f254,f255,f191,f256,f257,f258,f198,f259,f260,f197,f261,f262,f196,f263,f264,f195,f265,f266,f267,f200,f268,f269,f199,f270,f271,f202,f272,f273,f201,f274,f275,f224,f276,f277,f204,f278,f279,f280,f203,f281,f282,f283,f206,f284,f285,f286,f207]) ).
fof(f207,plain,
! [X2,X3,X0,X1,X4] :
( ilf_type(compose5(X0,X1,X2,X3,X4),relation_type(X0,X2))
| ~ ilf_type(X4,relation_type(X1,X2))
| ~ 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,[],[f73]) ).
fof(f73,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ilf_type(compose5(X0,X1,X2,X3,X4),relation_type(X0,X2))
| ~ ilf_type(X4,relation_type(X1,X2)) )
| ~ 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,[],[f37]) ).
fof(f37,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))
=> ! [X4] :
( ilf_type(X4,relation_type(X1,X2))
=> ilf_type(compose5(X0,X1,X2,X3,X4),relation_type(X0,X2)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p37) ).
fof(f286,plain,
! [X2,X3,X0,X1,X4] :
( compose5(X0,X1,X2,X3,X4) = compose(X3,X4)
| ~ ilf_type(X4,relation_type(X1,X2))
| ~ ilf_type(X3,relation_type(X0,X1)) ),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182,f239,f185,f240,f186,f241,f187,f242,f243,f188,f244,f245,f190,f246,f247,f189,f248,f249,f194,f250,f251,f193,f252,f253,f192,f254,f255,f191,f256,f257,f258,f198,f259,f260,f197,f261,f262,f196,f263,f264,f195,f265,f266,f267,f200,f268,f269,f199,f270,f271,f202,f272,f273,f201,f274,f275,f224,f276,f277,f204,f278,f279,f280,f203,f281,f282,f283,f206,f284,f285]) ).
fof(f285,plain,
! [X2,X3,X0,X1,X4] :
( compose5(X0,X1,X2,X3,X4) = compose(X3,X4)
| ~ ilf_type(X4,relation_type(X1,X2))
| ~ ilf_type(X3,relation_type(X0,X1))
| ~ ilf_type(X2,set_type) ),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182,f239,f185,f240,f186,f241,f187,f242,f243,f188,f244,f245,f190,f246,f247,f189,f248,f249,f194,f250,f251,f193,f252,f253,f192,f254,f255,f191,f256,f257,f258,f198,f259,f260,f197,f261,f262,f196,f263,f264,f195,f265,f266,f267,f200,f268,f269,f199,f270,f271,f202,f272,f273,f201,f274,f275,f224,f276,f277,f204,f278,f279,f280,f203,f281,f282,f283,f206,f284]) ).
fof(f284,plain,
! [X2,X3,X0,X1,X4] :
( compose5(X0,X1,X2,X3,X4) = compose(X3,X4)
| ~ ilf_type(X4,relation_type(X1,X2))
| ~ ilf_type(X3,relation_type(X0,X1))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182,f239,f185,f240,f186,f241,f187,f242,f243,f188,f244,f245,f190,f246,f247,f189,f248,f249,f194,f250,f251,f193,f252,f253,f192,f254,f255,f191,f256,f257,f258,f198,f259,f260,f197,f261,f262,f196,f263,f264,f195,f265,f266,f267,f200,f268,f269,f199,f270,f271,f202,f272,f273,f201,f274,f275,f224,f276,f277,f204,f278,f279,f280,f203,f281,f282,f283,f206]) ).
fof(f206,plain,
! [X2,X3,X0,X1,X4] :
( compose5(X0,X1,X2,X3,X4) = compose(X3,X4)
| ~ ilf_type(X4,relation_type(X1,X2))
| ~ 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,[],[f72]) ).
fof(f72,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( compose5(X0,X1,X2,X3,X4) = compose(X3,X4)
| ~ ilf_type(X4,relation_type(X1,X2)) )
| ~ 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,[],[f36]) ).
fof(f36,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))
=> ! [X4] :
( ilf_type(X4,relation_type(X1,X2))
=> compose5(X0,X1,X2,X3,X4) = compose(X3,X4) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p36) ).
fof(f282,plain,
! [X2,X0,X1] :
( member(X1,X0)
| ~ member(ordered_pair(X1,X2),identity_relation_of(X0))
| ~ ilf_type(X2,set_type) ),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182,f239,f185,f240,f186,f241,f187,f242,f243,f188,f244,f245,f190,f246,f247,f189,f248,f249,f194,f250,f251,f193,f252,f253,f192,f254,f255,f191,f256,f257,f258,f198,f259,f260,f197,f261,f262,f196,f263,f264,f195,f265,f266,f267,f200,f268,f269,f199,f270,f271,f202,f272,f273,f201,f274,f275,f224,f276,f277,f204,f278,f279,f280,f203,f281]) ).
fof(f281,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,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182,f239,f185,f240,f186,f241,f187,f242,f243,f188,f244,f245,f190,f246,f247,f189,f248,f249,f194,f250,f251,f193,f252,f253,f192,f254,f255,f191,f256,f257,f258,f198,f259,f260,f197,f261,f262,f196,f263,f264,f195,f265,f266,f267,f200,f268,f269,f199,f270,f271,f202,f272,f273,f201,f274,f275,f224,f276,f277,f204,f278,f279,f280,f203]) ).
fof(f203,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,[],[f132]) ).
fof(f132,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,[],[f131]) ).
fof(f131,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,[],[f71]) ).
fof(f71,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,[],[f5]) ).
fof(f5,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/sandbox2/benchmark/theBenchmark.p',p5) ).
fof(f279,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ member(ordered_pair(X1,X2),identity_relation_of(X0))
| ~ ilf_type(X2,set_type) ),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182,f239,f185,f240,f186,f241,f187,f242,f243,f188,f244,f245,f190,f246,f247,f189,f248,f249,f194,f250,f251,f193,f252,f253,f192,f254,f255,f191,f256,f257,f258,f198,f259,f260,f197,f261,f262,f196,f263,f264,f195,f265,f266,f267,f200,f268,f269,f199,f270,f271,f202,f272,f273,f201,f274,f275,f224,f276,f277,f204,f278]) ).
fof(f278,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,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182,f239,f185,f240,f186,f241,f187,f242,f243,f188,f244,f245,f190,f246,f247,f189,f248,f249,f194,f250,f251,f193,f252,f253,f192,f254,f255,f191,f256,f257,f258,f198,f259,f260,f197,f261,f262,f196,f263,f264,f195,f265,f266,f267,f200,f268,f269,f199,f270,f271,f202,f272,f273,f201,f274,f275,f224,f276,f277,f204]) ).
fof(f204,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,[],[f132]) ).
fof(f276,plain,
! [X2,X0] :
( member(ordered_pair(X2,X2),identity_relation_of(X0))
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) ),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182,f239,f185,f240,f186,f241,f187,f242,f243,f188,f244,f245,f190,f246,f247,f189,f248,f249,f194,f250,f251,f193,f252,f253,f192,f254,f255,f191,f256,f257,f258,f198,f259,f260,f197,f261,f262,f196,f263,f264,f195,f265,f266,f267,f200,f268,f269,f199,f270,f271,f202,f272,f273,f201,f274,f275,f224]) ).
fof(f224,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,[],[f223]) ).
fof(f223,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,[],[f205]) ).
fof(f205,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,[],[f132]) ).
fof(f274,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,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182,f239,f185,f240,f186,f241,f187,f242,f243,f188,f244,f245,f190,f246,f247,f189,f248,f249,f194,f250,f251,f193,f252,f253,f192,f254,f255,f191,f256,f257,f258,f198,f259,f260,f197,f261,f262,f196,f263,f264,f195,f265,f266,f267,f200,f268,f269,f199,f270,f271,f202,f272,f273,f201]) ).
fof(f201,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,[],[f130]) ).
fof(f130,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,[],[f70]) ).
fof(f70,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,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ilf_type(X1,subset_type(X0))
<=> ilf_type(X1,member_type(power_set(X0))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22) ).
fof(f272,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,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182,f239,f185,f240,f186,f241,f187,f242,f243,f188,f244,f245,f190,f246,f247,f189,f248,f249,f194,f250,f251,f193,f252,f253,f192,f254,f255,f191,f256,f257,f258,f198,f259,f260,f197,f261,f262,f196,f263,f264,f195,f265,f266,f267,f200,f268,f269,f199,f270,f271,f202]) ).
fof(f202,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,[],[f130]) ).
fof(f270,plain,
! [X0,X1] :
( ilf_type(X1,relation_type(X0,X0))
| ~ ilf_type(X1,identity_relation_of_type(X0))
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182,f239,f185,f240,f186,f241,f187,f242,f243,f188,f244,f245,f190,f246,f247,f189,f248,f249,f194,f250,f251,f193,f252,f253,f192,f254,f255,f191,f256,f257,f258,f198,f259,f260,f197,f261,f262,f196,f263,f264,f195,f265,f266,f267,f200,f268,f269,f199]) ).
fof(f199,plain,
! [X0,X1] :
( ilf_type(X1,relation_type(X0,X0))
| ~ ilf_type(X1,identity_relation_of_type(X0))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0] :
( ! [X1] :
( ( ( ilf_type(X1,identity_relation_of_type(X0))
| ~ ilf_type(X1,relation_type(X0,X0)) )
& ( ilf_type(X1,relation_type(X0,X0))
| ~ ilf_type(X1,identity_relation_of_type(X0)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0] :
( ! [X1] :
( ( ilf_type(X1,identity_relation_of_type(X0))
<=> ilf_type(X1,relation_type(X0,X0)) )
| ~ 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)
=> ( ilf_type(X1,identity_relation_of_type(X0))
<=> ilf_type(X1,relation_type(X0,X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7) ).
fof(f268,plain,
! [X0,X1] :
( ilf_type(X1,identity_relation_of_type(X0))
| ~ ilf_type(X1,relation_type(X0,X0))
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182,f239,f185,f240,f186,f241,f187,f242,f243,f188,f244,f245,f190,f246,f247,f189,f248,f249,f194,f250,f251,f193,f252,f253,f192,f254,f255,f191,f256,f257,f258,f198,f259,f260,f197,f261,f262,f196,f263,f264,f195,f265,f266,f267,f200]) ).
fof(f200,plain,
! [X0,X1] :
( ilf_type(X1,identity_relation_of_type(X0))
| ~ ilf_type(X1,relation_type(X0,X0))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f129]) ).
fof(f266,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type)
| ~ member(X0,power_set(X1)) ),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182,f239,f185,f240,f186,f241,f187,f242,f243,f188,f244,f245,f190,f246,f247,f189,f248,f249,f194,f250,f251,f193,f252,f253,f192,f254,f255,f191,f256,f257,f258,f198,f259,f260,f197,f261,f262,f196,f263,f264,f195,f265]) ).
fof(f265,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,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182,f239,f185,f240,f186,f241,f187,f242,f243,f188,f244,f245,f190,f246,f247,f189,f248,f249,f194,f250,f251,f193,f252,f253,f192,f254,f255,f191,f256,f257,f258,f198,f259,f260,f197,f261,f262,f196,f263,f264,f195]) ).
fof(f195,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,[],[f128]) ).
fof(f128,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])],[f126,f127]) ).
fof(f127,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(f126,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,[],[f125]) ).
fof(f125,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,[],[f68]) ).
fof(f68,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,[],[f67]) ).
fof(f67,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,[],[f26]) ).
fof(f26,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( member(X0,power_set(X1))
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ( member(X2,X0)
=> member(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p26) ).
fof(f264,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ilf_type(sK14(X0,X1),set_type) ),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182,f239,f185,f240,f186,f241,f187,f242,f243,f188,f244,f245,f190,f246,f247,f189,f248,f249,f194,f250,f251,f193,f252,f253,f192,f254,f255,f191,f256,f257,f258,f198,f259,f260,f197,f261,f262,f196,f263]) ).
fof(f263,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ilf_type(sK14(X0,X1),set_type)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182,f239,f185,f240,f186,f241,f187,f242,f243,f188,f244,f245,f190,f246,f247,f189,f248,f249,f194,f250,f251,f193,f252,f253,f192,f254,f255,f191,f256,f257,f258,f198,f259,f260,f197,f261,f262,f196]) ).
fof(f196,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,[],[f128]) ).
fof(f261,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| member(sK14(X0,X1),X0)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182,f239,f185,f240,f186,f241,f187,f242,f243,f188,f244,f245,f190,f246,f247,f189,f248,f249,f194,f250,f251,f193,f252,f253,f192,f254,f255,f191,f256,f257,f258,f198,f259,f260,f197]) ).
fof(f197,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,[],[f128]) ).
fof(f259,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ~ member(sK14(X0,X1),X1)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182,f239,f185,f240,f186,f241,f187,f242,f243,f188,f244,f245,f190,f246,f247,f189,f248,f249,f194,f250,f251,f193,f252,f253,f192,f254,f255,f191,f256,f257,f258,f198]) ).
fof(f198,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,[],[f128]) ).
fof(f257,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type)
| ~ subset(X0,X1) ),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182,f239,f185,f240,f186,f241,f187,f242,f243,f188,f244,f245,f190,f246,f247,f189,f248,f249,f194,f250,f251,f193,f252,f253,f192,f254,f255,f191,f256]) ).
fof(f256,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,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182,f239,f185,f240,f186,f241,f187,f242,f243,f188,f244,f245,f190,f246,f247,f189,f248,f249,f194,f250,f251,f193,f252,f253,f192,f254,f255,f191]) ).
fof(f191,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,[],[f124]) ).
fof(f124,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])],[f122,f123]) ).
fof(f123,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(f122,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,[],[f121]) ).
fof(f121,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,[],[f66]) ).
fof(f66,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,[],[f65]) ).
fof(f65,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,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( subset(X0,X1)
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ( member(X2,X0)
=> member(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19) ).
fof(f255,plain,
! [X0,X1] :
( subset(X0,X1)
| ilf_type(sK13(X0,X1),set_type) ),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182,f239,f185,f240,f186,f241,f187,f242,f243,f188,f244,f245,f190,f246,f247,f189,f248,f249,f194,f250,f251,f193,f252,f253,f192,f254]) ).
fof(f254,plain,
! [X0,X1] :
( subset(X0,X1)
| ilf_type(sK13(X0,X1),set_type)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182,f239,f185,f240,f186,f241,f187,f242,f243,f188,f244,f245,f190,f246,f247,f189,f248,f249,f194,f250,f251,f193,f252,f253,f192]) ).
fof(f192,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,[],[f124]) ).
fof(f252,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK13(X0,X1),X0)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182,f239,f185,f240,f186,f241,f187,f242,f243,f188,f244,f245,f190,f246,f247,f189,f248,f249,f194,f250,f251,f193]) ).
fof(f193,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK13(X0,X1),X0)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f124]) ).
fof(f250,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sK13(X0,X1),X1)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182,f239,f185,f240,f186,f241,f187,f242,f243,f188,f244,f245,f190,f246,f247,f189,f248,f249,f194]) ).
fof(f194,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sK13(X0,X1),X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f124]) ).
fof(f248,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,[],[f146,f145,f144,f147,f149,f150,f151,f154,f160,f159,f158,f157,f156,f226,f227,f155,f228,f229,f161,f165,f164,f163,f162,f166,f230,f167,f231,f169,f232,f168,f233,f171,f170,f177,f176,f175,f174,f173,f172,f178,f234,f181,f235,f180,f236,f179,f237,f225,f238,f182,f239,f185,f240,f186,f241,f187,f242,f243,f188,f244,f245,f190,f246,f247,f189]) ).
fof(f189,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,[],[f64]) ).
fof(f660,plain,
( sK5 = compose(sK5,identity_relation_of(sK4))
| ~ ilf_type(sK5,binary_relation_type)
| ~ spl20_4 ),
inference(resolution,[],[f659,f240]) ).
fof(f659,plain,
( subset(range_of(sK5),sK4)
| ~ spl20_4 ),
inference(duplicate_literal_removal,[],[f656]) ).
fof(f656,plain,
( subset(range_of(sK5),sK4)
| subset(range_of(sK5),sK4)
| ~ spl20_4 ),
inference(resolution,[],[f566,f251]) ).
fof(f566,plain,
( ! [X0] :
( member(sK13(range_of(sK5),X0),sK4)
| subset(range_of(sK5),X0) )
| ~ spl20_4 ),
inference(resolution,[],[f560,f253]) ).
fof(f560,plain,
( ! [X0] :
( ~ member(X0,range_of(sK5))
| member(X0,sK4) )
| ~ spl20_4 ),
inference(resolution,[],[f508,f441]) ).
fof(f441,plain,
( ilf_type(range_of(sK5),subset_type(sK4))
| ~ spl20_4 ),
inference(avatar_component_clause,[],[f439]) ).
fof(f439,plain,
( spl20_4
<=> ilf_type(range_of(sK5),subset_type(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_4])]) ).
fof(f921,plain,
( spl20_1
| ~ spl20_3
| ~ spl20_4 ),
inference(avatar_contradiction_clause,[],[f920]) ).
fof(f920,plain,
( $false
| spl20_1
| ~ spl20_3
| ~ spl20_4 ),
inference(subsumption_resolution,[],[f919,f665]) ).
fof(f665,plain,
( ~ relation_like(sK5)
| spl20_1
| ~ spl20_4 ),
inference(resolution,[],[f664,f238]) ).
fof(f664,plain,
( ~ ilf_type(sK5,binary_relation_type)
| spl20_1
| ~ spl20_4 ),
inference(subsumption_resolution,[],[f660,f353]) ).
fof(f353,plain,
( sK5 != compose(sK5,identity_relation_of(sK4))
| spl20_1 ),
inference(avatar_component_clause,[],[f351]) ).
fof(f351,plain,
( spl20_1
<=> sK5 = compose(sK5,identity_relation_of(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_1])]) ).
fof(f759,plain,
( ~ spl20_11
| spl20_18 ),
inference(avatar_contradiction_clause,[],[f758]) ).
fof(f758,plain,
( $false
| ~ spl20_11
| spl20_18 ),
inference(subsumption_resolution,[],[f755,f628]) ).
fof(f628,plain,
( empty(domain_of(sK5))
| ~ spl20_11 ),
inference(avatar_component_clause,[],[f626]) ).
fof(f626,plain,
( spl20_11
<=> empty(domain_of(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_11])]) ).
fof(f755,plain,
( ~ empty(domain_of(sK5))
| spl20_18 ),
inference(resolution,[],[f752,f705]) ).
fof(f752,plain,
( ~ sP2(sK17(domain_of(sK5)))
| spl20_18 ),
inference(avatar_component_clause,[],[f751]) ).
fof(f751,plain,
( spl20_18
<=> sP2(sK17(domain_of(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_18])]) ).
fof(f754,plain,
( spl20_17
| spl20_18
| ~ spl20_3 ),
inference(avatar_split_clause,[],[f706,f435,f751,f747]) ).
fof(f747,plain,
( spl20_17
<=> member(sK9(sK17(domain_of(sK5))),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_17])]) ).
fof(f730,plain,
( ~ spl20_7
| spl20_16 ),
inference(avatar_contradiction_clause,[],[f729]) ).
fof(f729,plain,
( $false
| ~ spl20_7
| spl20_16 ),
inference(subsumption_resolution,[],[f726,f600]) ).
fof(f600,plain,
( empty(range_of(sK5))
| ~ spl20_7 ),
inference(avatar_component_clause,[],[f598]) ).
fof(f598,plain,
( spl20_7
<=> empty(range_of(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_7])]) ).
fof(f726,plain,
( ~ empty(range_of(sK5))
| spl20_16 ),
inference(resolution,[],[f723,f705]) ).
fof(f723,plain,
( ~ sP2(sK17(range_of(sK5)))
| spl20_16 ),
inference(avatar_component_clause,[],[f722]) ).
fof(f722,plain,
( spl20_16
<=> sP2(sK17(range_of(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_16])]) ).
fof(f725,plain,
( spl20_15
| spl20_16
| ~ spl20_4 ),
inference(avatar_split_clause,[],[f707,f439,f722,f718]) ).
fof(f718,plain,
( spl20_15
<=> member(sK9(sK17(range_of(sK5))),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_15])]) ).
fof(f707,plain,
( sP2(sK17(range_of(sK5)))
| member(sK9(sK17(range_of(sK5))),sK4)
| ~ spl20_4 ),
inference(resolution,[],[f644,f560]) ).
fof(f673,plain,
( ~ spl20_13
| spl20_14
| ~ spl20_4 ),
inference(avatar_split_clause,[],[f658,f439,f671,f667]) ).
fof(f667,plain,
( spl20_13
<=> empty(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_13])]) ).
fof(f671,plain,
( spl20_14
<=> ! [X0] : subset(range_of(sK5),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_14])]) ).
fof(f658,plain,
( ! [X0] :
( subset(range_of(sK5),X0)
| ~ empty(sK4) )
| ~ spl20_4 ),
inference(resolution,[],[f566,f312]) ).
fof(f633,plain,
( spl20_11
| spl20_12
| ~ spl20_3 ),
inference(avatar_split_clause,[],[f576,f435,f630,f626]) ).
fof(f630,plain,
( spl20_12
<=> member(sK12(domain_of(sK5)),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_12])]) ).
fof(f622,plain,
( spl20_9
| spl20_10
| ~ spl20_3 ),
inference(avatar_split_clause,[],[f574,f435,f619,f615]) ).
fof(f615,plain,
( spl20_9
<=> sP2(domain_of(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_9])]) ).
fof(f619,plain,
( spl20_10
<=> member(sK9(domain_of(sK5)),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_10])]) ).
fof(f605,plain,
( spl20_7
| spl20_8
| ~ spl20_4 ),
inference(avatar_split_clause,[],[f564,f439,f602,f598]) ).
fof(f602,plain,
( spl20_8
<=> member(sK12(range_of(sK5)),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_8])]) ).
fof(f564,plain,
( member(sK12(range_of(sK5)),sK4)
| empty(range_of(sK5))
| ~ spl20_4 ),
inference(resolution,[],[f560,f235]) ).
fof(f594,plain,
( spl20_5
| spl20_6
| ~ spl20_4 ),
inference(avatar_split_clause,[],[f562,f439,f591,f587]) ).
fof(f587,plain,
( spl20_5
<=> sP2(range_of(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_5])]) ).
fof(f591,plain,
( spl20_6
<=> member(sK9(range_of(sK5)),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_6])]) ).
fof(f562,plain,
( member(sK9(range_of(sK5)),sK4)
| sP2(range_of(sK5))
| ~ spl20_4 ),
inference(resolution,[],[f560,f176]) ).
fof(f445,plain,
spl20_3,
inference(avatar_contradiction_clause,[],[f444]) ).
fof(f444,plain,
( $false
| spl20_3 ),
inference(subsumption_resolution,[],[f443,f145]) ).
fof(f443,plain,
( ~ ilf_type(sK5,identity_relation_of_type(sK4))
| spl20_3 ),
inference(resolution,[],[f437,f271]) ).
fof(f437,plain,
( ~ ilf_type(sK5,relation_type(sK4,sK4))
| spl20_3 ),
inference(avatar_component_clause,[],[f435]) ).
fof(f442,plain,
( ~ spl20_3
| spl20_4 ),
inference(avatar_split_clause,[],[f431,f439,f435]) ).
fof(f358,plain,
( ~ spl20_1
| ~ spl20_2 ),
inference(avatar_split_clause,[],[f146,f355,f351]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SET678+3 : TPTP v8.1.2. Released v2.2.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 16:59:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (19137)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (19140)WARNING: value z3 for option sas not known
% 0.14/0.38 % (19138)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (19139)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (19141)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (19140)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (19142)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.38 % (19143)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)
% 0.14/0.38 % (19144)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 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.41 TRYING [3]
% 0.14/0.41 % (19140)First to succeed.
% 0.14/0.41 TRYING [1]
% 0.22/0.42 TRYING [2]
% 0.22/0.42 % (19140)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-19137"
% 0.22/0.43 % (19140)Refutation found. Thanks to Tanya!
% 0.22/0.43 % SZS status Theorem for theBenchmark
% 0.22/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.43 % (19140)------------------------------
% 0.22/0.43 % (19140)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.43 % (19140)Termination reason: Refutation
% 0.22/0.43
% 0.22/0.43 % (19140)Memory used [KB]: 1426
% 0.22/0.43 % (19140)Time elapsed: 0.048 s
% 0.22/0.43 % (19140)Instructions burned: 76 (million)
% 0.22/0.43 % (19137)Success in time 0.068 s
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