TSTP Solution File: SET660+3 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET660+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 : n002.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 : Tue Apr 30 15:09:45 EDT 2024
% Result : Theorem 0.21s 0.49s
% Output : Refutation 0.21s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
fof(f2169,plain,
$false,
inference(avatar_sat_refutation,[],[f329,f537,f548,f597,f606,f658,f663,f709,f914,f930,f943,f974,f1194,f1200,f1277,f1359,f1575,f1579,f1618,f1635,f2091,f2096,f2100,f2103,f2105,f2107,f2109,f2111,f2113,f2136,f2139,f2168]) ).
fof(f2168,plain,
( spl23_2
| ~ spl23_34 ),
inference(avatar_contradiction_clause,[],[f2167]) ).
fof(f2167,plain,
( $false
| spl23_2
| ~ spl23_34 ),
inference(subsumption_resolution,[],[f2165,f2158]) ).
fof(f2158,plain,
( ~ subset(range_of(sK9),sK8)
| spl23_2
| ~ spl23_34 ),
inference(subsumption_resolution,[],[f2157,f1582]) ).
fof(f1582,plain,
( sK8 != range_of(sK9)
| spl23_2 ),
inference(superposition,[],[f327,f430]) ).
fof(f430,plain,
range(sK7,sK8,sK9) = range_of(sK9),
inference(resolution,[],[f304,f154]) ).
fof(f154,plain,
ilf_type(sK9,relation_type(sK7,sK8)),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
( ( sK8 != range(sK7,sK8,sK9)
| ~ sP0(sK9,sK8) )
& ( sK8 = range(sK7,sK8,sK9)
| sP0(sK9,sK8) )
& ilf_type(sK9,relation_type(sK7,sK8))
& ilf_type(sK8,set_type)
& ilf_type(sK7,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9])],[f94,f97,f96,f95]) ).
fof(f95,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ( range(X0,X1,X2) != X1
| ~ sP0(X2,X1) )
& ( range(X0,X1,X2) = X1
| sP0(X2,X1) )
& ilf_type(X2,relation_type(X0,X1)) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) )
=> ( ? [X1] :
( ? [X2] :
( ( range(sK7,X1,X2) != X1
| ~ sP0(X2,X1) )
& ( range(sK7,X1,X2) = X1
| sP0(X2,X1) )
& ilf_type(X2,relation_type(sK7,X1)) )
& ilf_type(X1,set_type) )
& ilf_type(sK7,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f96,plain,
( ? [X1] :
( ? [X2] :
( ( range(sK7,X1,X2) != X1
| ~ sP0(X2,X1) )
& ( range(sK7,X1,X2) = X1
| sP0(X2,X1) )
& ilf_type(X2,relation_type(sK7,X1)) )
& ilf_type(X1,set_type) )
=> ( ? [X2] :
( ( sK8 != range(sK7,sK8,X2)
| ~ sP0(X2,sK8) )
& ( sK8 = range(sK7,sK8,X2)
| sP0(X2,sK8) )
& ilf_type(X2,relation_type(sK7,sK8)) )
& ilf_type(sK8,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f97,plain,
( ? [X2] :
( ( sK8 != range(sK7,sK8,X2)
| ~ sP0(X2,sK8) )
& ( sK8 = range(sK7,sK8,X2)
| sP0(X2,sK8) )
& ilf_type(X2,relation_type(sK7,sK8)) )
=> ( ( sK8 != range(sK7,sK8,sK9)
| ~ sP0(sK9,sK8) )
& ( sK8 = range(sK7,sK8,sK9)
| sP0(sK9,sK8) )
& ilf_type(sK9,relation_type(sK7,sK8)) ) ),
introduced(choice_axiom,[]) ).
fof(f94,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( range(X0,X1,X2) != X1
| ~ sP0(X2,X1) )
& ( range(X0,X1,X2) = X1
| sP0(X2,X1) )
& ilf_type(X2,relation_type(X0,X1)) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(flattening,[],[f93]) ).
fof(f93,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( range(X0,X1,X2) != X1
| ~ sP0(X2,X1) )
& ( range(X0,X1,X2) = X1
| sP0(X2,X1) )
& ilf_type(X2,relation_type(X0,X1)) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f81]) ).
fof(f81,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( sP0(X2,X1)
<~> range(X0,X1,X2) = X1 )
& ilf_type(X2,relation_type(X0,X1)) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(definition_folding,[],[f39,f80]) ).
fof(f80,plain,
! [X2,X1] :
( sP0(X2,X1)
<=> ! [X3] :
( ? [X4] :
( member(ordered_pair(X4,X3),X2)
& ilf_type(X4,set_type) )
| ~ member(X3,X1)
| ~ ilf_type(X3,set_type) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f39,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ! [X3] :
( ? [X4] :
( member(ordered_pair(X4,X3),X2)
& ilf_type(X4,set_type) )
| ~ member(X3,X1)
| ~ ilf_type(X3,set_type) )
<~> range(X0,X1,X2) = X1 )
& ilf_type(X2,relation_type(X0,X1)) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ! [X3] :
( ? [X4] :
( member(ordered_pair(X4,X3),X2)
& ilf_type(X4,set_type) )
| ~ member(X3,X1)
| ~ ilf_type(X3,set_type) )
<~> range(X0,X1,X2) = X1 )
& ilf_type(X2,relation_type(X0,X1)) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ( ! [X3] :
( ilf_type(X3,set_type)
=> ( member(X3,X1)
=> ? [X4] :
( member(ordered_pair(X4,X3),X2)
& ilf_type(X4,set_type) ) ) )
<=> range(X0,X1,X2) = X1 ) ) ) ),
inference(negated_conjecture,[],[f35]) ).
fof(f35,conjecture,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ( ! [X3] :
( ilf_type(X3,set_type)
=> ( member(X3,X1)
=> ? [X4] :
( member(ordered_pair(X4,X3),X2)
& ilf_type(X4,set_type) ) ) )
<=> range(X0,X1,X2) = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_23) ).
fof(f304,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| range_of(X2) = range(X0,X1,X2) ),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f250,f187,f251,f252,f186,f253,f254,f190,f255,f256,f189,f257,f258,f188,f259,f260,f193,f261,f262,f195,f200,f199,f198,f197,f263,f196,f264,f201,f265,f266,f205,f267,f268,f204,f269,f270,f203,f271,f272,f202,f273,f274,f275,f209,f276,f277,f208,f278,f279,f207,f280,f281,f206,f282,f283,f284,f211,f285,f286,f210,f287,f288,f213,f289,f290,f212,f291,f292,f231,f293,f294,f295,f296,f232,f297,f298,f299,f300,f216,f301,f302,f217,f303]) ).
fof(f303,plain,
! [X2,X0,X1] :
( range_of(X2) = range(X0,X1,X2)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f250,f187,f251,f252,f186,f253,f254,f190,f255,f256,f189,f257,f258,f188,f259,f260,f193,f261,f262,f195,f200,f199,f198,f197,f263,f196,f264,f201,f265,f266,f205,f267,f268,f204,f269,f270,f203,f271,f272,f202,f273,f274,f275,f209,f276,f277,f208,f278,f279,f207,f280,f281,f206,f282,f283,f284,f211,f285,f286,f210,f287,f288,f213,f289,f290,f212,f291,f292,f231,f293,f294,f295,f296,f232,f297,f298,f299,f300,f216,f301,f302,f217]) ).
fof(f217,plain,
! [X2,X0,X1] :
( range_of(X2) = range(X0,X1,X2)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( range_of(X2) = range(X0,X1,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))
=> range_of(X2) = range(X0,X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p32) ).
fof(f302,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| domain_of(X2) = domain(X0,X1,X2) ),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f250,f187,f251,f252,f186,f253,f254,f190,f255,f256,f189,f257,f258,f188,f259,f260,f193,f261,f262,f195,f200,f199,f198,f197,f263,f196,f264,f201,f265,f266,f205,f267,f268,f204,f269,f270,f203,f271,f272,f202,f273,f274,f275,f209,f276,f277,f208,f278,f279,f207,f280,f281,f206,f282,f283,f284,f211,f285,f286,f210,f287,f288,f213,f289,f290,f212,f291,f292,f231,f293,f294,f295,f296,f232,f297,f298,f299,f300,f216,f301]) ).
fof(f301,plain,
! [X2,X0,X1] :
( domain_of(X2) = domain(X0,X1,X2)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f250,f187,f251,f252,f186,f253,f254,f190,f255,f256,f189,f257,f258,f188,f259,f260,f193,f261,f262,f195,f200,f199,f198,f197,f263,f196,f264,f201,f265,f266,f205,f267,f268,f204,f269,f270,f203,f271,f272,f202,f273,f274,f275,f209,f276,f277,f208,f278,f279,f207,f280,f281,f206,f282,f283,f284,f211,f285,f286,f210,f287,f288,f213,f289,f290,f212,f291,f292,f231,f293,f294,f295,f296,f232,f297,f298,f299,f300,f216]) ).
fof(f216,plain,
! [X2,X0,X1] :
( domain_of(X2) = domain(X0,X1,X2)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( domain_of(X2) = domain(X0,X1,X2)
| ~ ilf_type(X2,relation_type(X0,X1)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> domain_of(X2) = domain(X0,X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p30) ).
fof(f300,plain,
! [X2,X3] : ordered_pair(X2,X3) = unordered_pair(unordered_pair(X2,X3),singleton(X2)),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f250,f187,f251,f252,f186,f253,f254,f190,f255,f256,f189,f257,f258,f188,f259,f260,f193,f261,f262,f195,f200,f199,f198,f197,f263,f196,f264,f201,f265,f266,f205,f267,f268,f204,f269,f270,f203,f271,f272,f202,f273,f274,f275,f209,f276,f277,f208,f278,f279,f207,f280,f281,f206,f282,f283,f284,f211,f285,f286,f210,f287,f288,f213,f289,f290,f212,f291,f292,f231,f293,f294,f295,f296,f232,f297,f298,f299]) ).
fof(f299,plain,
! [X2,X3] :
( ordered_pair(X2,X3) = unordered_pair(unordered_pair(X2,X3),singleton(X2))
| ~ ilf_type(X3,set_type) ),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f250,f187,f251,f252,f186,f253,f254,f190,f255,f256,f189,f257,f258,f188,f259,f260,f193,f261,f262,f195,f200,f199,f198,f197,f263,f196,f264,f201,f265,f266,f205,f267,f268,f204,f269,f270,f203,f271,f272,f202,f273,f274,f275,f209,f276,f277,f208,f278,f279,f207,f280,f281,f206,f282,f283,f284,f211,f285,f286,f210,f287,f288,f213,f289,f290,f212,f291,f292,f231,f293,f294,f295,f296,f232,f297,f298]) ).
fof(f298,plain,
! [X2,X3] :
( ordered_pair(X2,X3) = unordered_pair(unordered_pair(X2,X3),singleton(X2))
| ~ ilf_type(ordered_pair(X2,X3),set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type) ),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f250,f187,f251,f252,f186,f253,f254,f190,f255,f256,f189,f257,f258,f188,f259,f260,f193,f261,f262,f195,f200,f199,f198,f197,f263,f196,f264,f201,f265,f266,f205,f267,f268,f204,f269,f270,f203,f271,f272,f202,f273,f274,f275,f209,f276,f277,f208,f278,f279,f207,f280,f281,f206,f282,f283,f284,f211,f285,f286,f210,f287,f288,f213,f289,f290,f212,f291,f292,f231,f293,f294,f295,f296,f232,f297]) ).
fof(f297,plain,
! [X2,X3,X1] :
( ordered_pair(X2,X3) = unordered_pair(unordered_pair(X2,X3),singleton(X2))
| ~ ilf_type(ordered_pair(X2,X3),set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f250,f187,f251,f252,f186,f253,f254,f190,f255,f256,f189,f257,f258,f188,f259,f260,f193,f261,f262,f195,f200,f199,f198,f197,f263,f196,f264,f201,f265,f266,f205,f267,f268,f204,f269,f270,f203,f271,f272,f202,f273,f274,f275,f209,f276,f277,f208,f278,f279,f207,f280,f281,f206,f282,f283,f284,f211,f285,f286,f210,f287,f288,f213,f289,f290,f212,f291,f292,f231,f293,f294,f295,f296,f232]) ).
fof(f232,plain,
! [X2,X3,X0,X1] :
( ordered_pair(X2,X3) = unordered_pair(unordered_pair(X2,X3),singleton(X2))
| ~ ilf_type(ordered_pair(X2,X3),set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(equality_resolution,[],[f214]) ).
fof(f214,plain,
! [X2,X3,X0,X1,X4] :
( unordered_pair(unordered_pair(X2,X3),singleton(X2)) = X4
| ordered_pair(X2,X3) != X4
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( ( ordered_pair(X2,X3) = X4
| unordered_pair(unordered_pair(X2,X3),singleton(X2)) != X4 )
& ( unordered_pair(unordered_pair(X2,X3),singleton(X2)) = X4
| ordered_pair(X2,X3) != X4 ) )
| ~ ilf_type(X4,set_type) )
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( ordered_pair(X2,X3) = X4
<=> unordered_pair(unordered_pair(X2,X3),singleton(X2)) = X4 )
| ~ ilf_type(X4,set_type) )
| ~ ilf_type(X3,set_type) )
| ~ 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)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ! [X4] :
( ilf_type(X4,set_type)
=> ( ordered_pair(X2,X3) = X4
<=> unordered_pair(unordered_pair(X2,X3),singleton(X2)) = X4 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5) ).
fof(f296,plain,
! [X2,X3] :
( ordered_pair(X2,X3) = unordered_pair(unordered_pair(X2,X3),singleton(X2))
| ~ ilf_type(unordered_pair(unordered_pair(X2,X3),singleton(X2)),set_type) ),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f250,f187,f251,f252,f186,f253,f254,f190,f255,f256,f189,f257,f258,f188,f259,f260,f193,f261,f262,f195,f200,f199,f198,f197,f263,f196,f264,f201,f265,f266,f205,f267,f268,f204,f269,f270,f203,f271,f272,f202,f273,f274,f275,f209,f276,f277,f208,f278,f279,f207,f280,f281,f206,f282,f283,f284,f211,f285,f286,f210,f287,f288,f213,f289,f290,f212,f291,f292,f231,f293,f294,f295]) ).
fof(f295,plain,
! [X2,X3] :
( ordered_pair(X2,X3) = unordered_pair(unordered_pair(X2,X3),singleton(X2))
| ~ ilf_type(unordered_pair(unordered_pair(X2,X3),singleton(X2)),set_type)
| ~ ilf_type(X3,set_type) ),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f250,f187,f251,f252,f186,f253,f254,f190,f255,f256,f189,f257,f258,f188,f259,f260,f193,f261,f262,f195,f200,f199,f198,f197,f263,f196,f264,f201,f265,f266,f205,f267,f268,f204,f269,f270,f203,f271,f272,f202,f273,f274,f275,f209,f276,f277,f208,f278,f279,f207,f280,f281,f206,f282,f283,f284,f211,f285,f286,f210,f287,f288,f213,f289,f290,f212,f291,f292,f231,f293,f294]) ).
fof(f294,plain,
! [X2,X3] :
( ordered_pair(X2,X3) = unordered_pair(unordered_pair(X2,X3),singleton(X2))
| ~ ilf_type(unordered_pair(unordered_pair(X2,X3),singleton(X2)),set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type) ),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f250,f187,f251,f252,f186,f253,f254,f190,f255,f256,f189,f257,f258,f188,f259,f260,f193,f261,f262,f195,f200,f199,f198,f197,f263,f196,f264,f201,f265,f266,f205,f267,f268,f204,f269,f270,f203,f271,f272,f202,f273,f274,f275,f209,f276,f277,f208,f278,f279,f207,f280,f281,f206,f282,f283,f284,f211,f285,f286,f210,f287,f288,f213,f289,f290,f212,f291,f292,f231,f293]) ).
fof(f293,plain,
! [X2,X3,X1] :
( ordered_pair(X2,X3) = unordered_pair(unordered_pair(X2,X3),singleton(X2))
| ~ ilf_type(unordered_pair(unordered_pair(X2,X3),singleton(X2)),set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f250,f187,f251,f252,f186,f253,f254,f190,f255,f256,f189,f257,f258,f188,f259,f260,f193,f261,f262,f195,f200,f199,f198,f197,f263,f196,f264,f201,f265,f266,f205,f267,f268,f204,f269,f270,f203,f271,f272,f202,f273,f274,f275,f209,f276,f277,f208,f278,f279,f207,f280,f281,f206,f282,f283,f284,f211,f285,f286,f210,f287,f288,f213,f289,f290,f212,f291,f292,f231]) ).
fof(f231,plain,
! [X2,X3,X0,X1] :
( ordered_pair(X2,X3) = unordered_pair(unordered_pair(X2,X3),singleton(X2))
| ~ ilf_type(unordered_pair(unordered_pair(X2,X3),singleton(X2)),set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(equality_resolution,[],[f215]) ).
fof(f215,plain,
! [X2,X3,X0,X1,X4] :
( ordered_pair(X2,X3) = X4
| unordered_pair(unordered_pair(X2,X3),singleton(X2)) != X4
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f137]) ).
fof(f292,plain,
! [X2,X0,X1] :
( ~ member(ordered_pair(X0,X1),X2)
| member(X0,domain_of(X2))
| ~ ilf_type(X2,binary_relation_type) ),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f250,f187,f251,f252,f186,f253,f254,f190,f255,f256,f189,f257,f258,f188,f259,f260,f193,f261,f262,f195,f200,f199,f198,f197,f263,f196,f264,f201,f265,f266,f205,f267,f268,f204,f269,f270,f203,f271,f272,f202,f273,f274,f275,f209,f276,f277,f208,f278,f279,f207,f280,f281,f206,f282,f283,f284,f211,f285,f286,f210,f287,f288,f213,f289,f290,f212,f291]) ).
fof(f291,plain,
! [X2,X0,X1] :
( member(X0,domain_of(X2))
| ~ member(ordered_pair(X0,X1),X2)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f250,f187,f251,f252,f186,f253,f254,f190,f255,f256,f189,f257,f258,f188,f259,f260,f193,f261,f262,f195,f200,f199,f198,f197,f263,f196,f264,f201,f265,f266,f205,f267,f268,f204,f269,f270,f203,f271,f272,f202,f273,f274,f275,f209,f276,f277,f208,f278,f279,f207,f280,f281,f206,f282,f283,f284,f211,f285,f286,f210,f287,f288,f213,f289,f290,f212]) ).
fof(f212,plain,
! [X2,X0,X1] :
( member(X0,domain_of(X2))
| ~ member(ordered_pair(X0,X1),X2)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( member(X1,range_of(X2))
& member(X0,domain_of(X2)) )
| ~ member(ordered_pair(X0,X1),X2)
| ~ ilf_type(X2,binary_relation_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f64]) ).
fof(f64,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( member(X1,range_of(X2))
& member(X0,domain_of(X2)) )
| ~ member(ordered_pair(X0,X1),X2)
| ~ ilf_type(X2,binary_relation_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,binary_relation_type)
=> ( member(ordered_pair(X0,X1),X2)
=> ( member(X1,range_of(X2))
& member(X0,domain_of(X2)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3) ).
fof(f290,plain,
! [X2,X0,X1] :
( ~ member(ordered_pair(X0,X1),X2)
| member(X1,range_of(X2))
| ~ ilf_type(X2,binary_relation_type) ),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f250,f187,f251,f252,f186,f253,f254,f190,f255,f256,f189,f257,f258,f188,f259,f260,f193,f261,f262,f195,f200,f199,f198,f197,f263,f196,f264,f201,f265,f266,f205,f267,f268,f204,f269,f270,f203,f271,f272,f202,f273,f274,f275,f209,f276,f277,f208,f278,f279,f207,f280,f281,f206,f282,f283,f284,f211,f285,f286,f210,f287,f288,f213,f289]) ).
fof(f289,plain,
! [X2,X0,X1] :
( member(X1,range_of(X2))
| ~ member(ordered_pair(X0,X1),X2)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f250,f187,f251,f252,f186,f253,f254,f190,f255,f256,f189,f257,f258,f188,f259,f260,f193,f261,f262,f195,f200,f199,f198,f197,f263,f196,f264,f201,f265,f266,f205,f267,f268,f204,f269,f270,f203,f271,f272,f202,f273,f274,f275,f209,f276,f277,f208,f278,f279,f207,f280,f281,f206,f282,f283,f284,f211,f285,f286,f210,f287,f288,f213]) ).
fof(f213,plain,
! [X2,X0,X1] :
( member(X1,range_of(X2))
| ~ member(ordered_pair(X0,X1),X2)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f65]) ).
fof(f288,plain,
! [X0,X1] :
( ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0)) ),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f250,f187,f251,f252,f186,f253,f254,f190,f255,f256,f189,f257,f258,f188,f259,f260,f193,f261,f262,f195,f200,f199,f198,f197,f263,f196,f264,f201,f265,f266,f205,f267,f268,f204,f269,f270,f203,f271,f272,f202,f273,f274,f275,f209,f276,f277,f208,f278,f279,f207,f280,f281,f206,f282,f283,f284,f211,f285,f286,f210,f287]) ).
fof(f287,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,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f250,f187,f251,f252,f186,f253,f254,f190,f255,f256,f189,f257,f258,f188,f259,f260,f193,f261,f262,f195,f200,f199,f198,f197,f263,f196,f264,f201,f265,f266,f205,f267,f268,f204,f269,f270,f203,f271,f272,f202,f273,f274,f275,f209,f276,f277,f208,f278,f279,f207,f280,f281,f206,f282,f283,f284,f211,f285,f286,f210]) ).
fof(f210,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,[],[f136]) ).
fof(f136,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,[],[f63]) ).
fof(f63,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,[],[f17]) ).
fof(f17,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',p17) ).
fof(f286,plain,
! [X0,X1] :
( ~ ilf_type(X1,member_type(power_set(X0)))
| ilf_type(X1,subset_type(X0)) ),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f250,f187,f251,f252,f186,f253,f254,f190,f255,f256,f189,f257,f258,f188,f259,f260,f193,f261,f262,f195,f200,f199,f198,f197,f263,f196,f264,f201,f265,f266,f205,f267,f268,f204,f269,f270,f203,f271,f272,f202,f273,f274,f275,f209,f276,f277,f208,f278,f279,f207,f280,f281,f206,f282,f283,f284,f211,f285]) ).
fof(f285,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,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f250,f187,f251,f252,f186,f253,f254,f190,f255,f256,f189,f257,f258,f188,f259,f260,f193,f261,f262,f195,f200,f199,f198,f197,f263,f196,f264,f201,f265,f266,f205,f267,f268,f204,f269,f270,f203,f271,f272,f202,f273,f274,f275,f209,f276,f277,f208,f278,f279,f207,f280,f281,f206,f282,f283,f284,f211]) ).
fof(f211,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,[],[f136]) ).
fof(f284,plain,
! [X3,X0,X1] :
( ~ member(X0,power_set(X1))
| ~ member(X3,X0)
| member(X3,X1) ),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f250,f187,f251,f252,f186,f253,f254,f190,f255,f256,f189,f257,f258,f188,f259,f260,f193,f261,f262,f195,f200,f199,f198,f197,f263,f196,f264,f201,f265,f266,f205,f267,f268,f204,f269,f270,f203,f271,f272,f202,f273,f274,f275,f209,f276,f277,f208,f278,f279,f207,f280,f281,f206,f282,f283]) ).
fof(f283,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type)
| ~ member(X0,power_set(X1)) ),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f250,f187,f251,f252,f186,f253,f254,f190,f255,f256,f189,f257,f258,f188,f259,f260,f193,f261,f262,f195,f200,f199,f198,f197,f263,f196,f264,f201,f265,f266,f205,f267,f268,f204,f269,f270,f203,f271,f272,f202,f273,f274,f275,f209,f276,f277,f208,f278,f279,f207,f280,f281,f206,f282]) ).
fof(f282,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,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f250,f187,f251,f252,f186,f253,f254,f190,f255,f256,f189,f257,f258,f188,f259,f260,f193,f261,f262,f195,f200,f199,f198,f197,f263,f196,f264,f201,f265,f266,f205,f267,f268,f204,f269,f270,f203,f271,f272,f202,f273,f274,f275,f209,f276,f277,f208,f278,f279,f207,f280,f281,f206]) ).
fof(f206,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,[],[f135]) ).
fof(f135,plain,
! [X0] :
( ! [X1] :
( ( ( member(X0,power_set(X1))
| ( ~ member(sK18(X0,X1),X1)
& member(sK18(X0,X1),X0)
& ilf_type(sK18(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,[sK18])],[f133,f134]) ).
fof(f134,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0)
& ilf_type(X2,set_type) )
=> ( ~ member(sK18(X0,X1),X1)
& member(sK18(X0,X1),X0)
& ilf_type(sK18(X0,X1),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f133,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,[],[f132]) ).
fof(f132,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,[],[f62]) ).
fof(f62,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,[],[f61]) ).
fof(f61,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,[],[f22]) ).
fof(f22,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',p22) ).
fof(f281,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ilf_type(sK18(X0,X1),set_type) ),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f250,f187,f251,f252,f186,f253,f254,f190,f255,f256,f189,f257,f258,f188,f259,f260,f193,f261,f262,f195,f200,f199,f198,f197,f263,f196,f264,f201,f265,f266,f205,f267,f268,f204,f269,f270,f203,f271,f272,f202,f273,f274,f275,f209,f276,f277,f208,f278,f279,f207,f280]) ).
fof(f280,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ilf_type(sK18(X0,X1),set_type)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f250,f187,f251,f252,f186,f253,f254,f190,f255,f256,f189,f257,f258,f188,f259,f260,f193,f261,f262,f195,f200,f199,f198,f197,f263,f196,f264,f201,f265,f266,f205,f267,f268,f204,f269,f270,f203,f271,f272,f202,f273,f274,f275,f209,f276,f277,f208,f278,f279,f207]) ).
fof(f207,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ilf_type(sK18(X0,X1),set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f135]) ).
fof(f279,plain,
! [X0,X1] :
( member(sK18(X0,X1),X0)
| member(X0,power_set(X1)) ),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f250,f187,f251,f252,f186,f253,f254,f190,f255,f256,f189,f257,f258,f188,f259,f260,f193,f261,f262,f195,f200,f199,f198,f197,f263,f196,f264,f201,f265,f266,f205,f267,f268,f204,f269,f270,f203,f271,f272,f202,f273,f274,f275,f209,f276,f277,f208,f278]) ).
fof(f278,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| member(sK18(X0,X1),X0)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f250,f187,f251,f252,f186,f253,f254,f190,f255,f256,f189,f257,f258,f188,f259,f260,f193,f261,f262,f195,f200,f199,f198,f197,f263,f196,f264,f201,f265,f266,f205,f267,f268,f204,f269,f270,f203,f271,f272,f202,f273,f274,f275,f209,f276,f277,f208]) ).
fof(f208,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| member(sK18(X0,X1),X0)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f135]) ).
fof(f277,plain,
! [X0,X1] :
( ~ member(sK18(X0,X1),X1)
| member(X0,power_set(X1)) ),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f250,f187,f251,f252,f186,f253,f254,f190,f255,f256,f189,f257,f258,f188,f259,f260,f193,f261,f262,f195,f200,f199,f198,f197,f263,f196,f264,f201,f265,f266,f205,f267,f268,f204,f269,f270,f203,f271,f272,f202,f273,f274,f275,f209,f276]) ).
fof(f276,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ~ member(sK18(X0,X1),X1)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f250,f187,f251,f252,f186,f253,f254,f190,f255,f256,f189,f257,f258,f188,f259,f260,f193,f261,f262,f195,f200,f199,f198,f197,f263,f196,f264,f201,f265,f266,f205,f267,f268,f204,f269,f270,f203,f271,f272,f202,f273,f274,f275,f209]) ).
fof(f209,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ~ member(sK18(X0,X1),X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f135]) ).
fof(f275,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ member(X3,X0)
| member(X3,X1) ),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f250,f187,f251,f252,f186,f253,f254,f190,f255,f256,f189,f257,f258,f188,f259,f260,f193,f261,f262,f195,f200,f199,f198,f197,f263,f196,f264,f201,f265,f266,f205,f267,f268,f204,f269,f270,f203,f271,f272,f202,f273,f274]) ).
fof(f274,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type)
| ~ subset(X0,X1) ),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f250,f187,f251,f252,f186,f253,f254,f190,f255,f256,f189,f257,f258,f188,f259,f260,f193,f261,f262,f195,f200,f199,f198,f197,f263,f196,f264,f201,f265,f266,f205,f267,f268,f204,f269,f270,f203,f271,f272,f202,f273]) ).
fof(f273,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,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f250,f187,f251,f252,f186,f253,f254,f190,f255,f256,f189,f257,f258,f188,f259,f260,f193,f261,f262,f195,f200,f199,f198,f197,f263,f196,f264,f201,f265,f266,f205,f267,f268,f204,f269,f270,f203,f271,f272,f202]) ).
fof(f202,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,[],[f131]) ).
fof(f131,plain,
! [X0] :
( ! [X1] :
( ( ( subset(X0,X1)
| ( ~ member(sK17(X0,X1),X1)
& member(sK17(X0,X1),X0)
& ilf_type(sK17(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,[sK17])],[f129,f130]) ).
fof(f130,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0)
& ilf_type(X2,set_type) )
=> ( ~ member(sK17(X0,X1),X1)
& member(sK17(X0,X1),X0)
& ilf_type(sK17(X0,X1),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f129,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,[],[f128]) ).
fof(f128,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,[],[f60]) ).
fof(f60,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,[],[f59]) ).
fof(f59,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,[],[f20]) ).
fof(f20,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',p20) ).
fof(f272,plain,
! [X0,X1] :
( subset(X0,X1)
| ilf_type(sK17(X0,X1),set_type) ),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f250,f187,f251,f252,f186,f253,f254,f190,f255,f256,f189,f257,f258,f188,f259,f260,f193,f261,f262,f195,f200,f199,f198,f197,f263,f196,f264,f201,f265,f266,f205,f267,f268,f204,f269,f270,f203,f271]) ).
fof(f271,plain,
! [X0,X1] :
( subset(X0,X1)
| ilf_type(sK17(X0,X1),set_type)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f250,f187,f251,f252,f186,f253,f254,f190,f255,f256,f189,f257,f258,f188,f259,f260,f193,f261,f262,f195,f200,f199,f198,f197,f263,f196,f264,f201,f265,f266,f205,f267,f268,f204,f269,f270,f203]) ).
fof(f203,plain,
! [X0,X1] :
( subset(X0,X1)
| ilf_type(sK17(X0,X1),set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f131]) ).
fof(f270,plain,
! [X0,X1] :
( member(sK17(X0,X1),X0)
| subset(X0,X1) ),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f250,f187,f251,f252,f186,f253,f254,f190,f255,f256,f189,f257,f258,f188,f259,f260,f193,f261,f262,f195,f200,f199,f198,f197,f263,f196,f264,f201,f265,f266,f205,f267,f268,f204,f269]) ).
fof(f269,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK17(X0,X1),X0)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f250,f187,f251,f252,f186,f253,f254,f190,f255,f256,f189,f257,f258,f188,f259,f260,f193,f261,f262,f195,f200,f199,f198,f197,f263,f196,f264,f201,f265,f266,f205,f267,f268,f204]) ).
fof(f204,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK17(X0,X1),X0)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f131]) ).
fof(f268,plain,
! [X0,X1] :
( ~ member(sK17(X0,X1),X1)
| subset(X0,X1) ),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f250,f187,f251,f252,f186,f253,f254,f190,f255,f256,f189,f257,f258,f188,f259,f260,f193,f261,f262,f195,f200,f199,f198,f197,f263,f196,f264,f201,f265,f266,f205,f267]) ).
fof(f267,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sK17(X0,X1),X1)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f250,f187,f251,f252,f186,f253,f254,f190,f255,f256,f189,f257,f258,f188,f259,f260,f193,f261,f262,f195,f200,f199,f198,f197,f263,f196,f264,f201,f265,f266,f205]) ).
fof(f205,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sK17(X0,X1),X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f131]) ).
fof(f266,plain,
! [X0,X1] : sP4(X0,X1),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f250,f187,f251,f252,f186,f253,f254,f190,f255,f256,f189,f257,f258,f188,f259,f260,f193,f261,f262,f195,f200,f199,f198,f197,f263,f196,f264,f201,f265]) ).
fof(f265,plain,
! [X0,X1] :
( sP4(X0,X1)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f250,f187,f251,f252,f186,f253,f254,f190,f255,f256,f189,f257,f258,f188,f259,f260,f193,f261,f262,f195,f200,f199,f198,f197,f263,f196,f264,f201]) ).
fof(f201,plain,
! [X0,X1] :
( sP4(X0,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0] :
( ! [X1] :
( sP4(X0,X1)
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(definition_folding,[],[f58,f86,f85]) ).
fof(f85,plain,
! [X1,X0] :
( sP3(X1,X0)
<=> ! [X2] :
( ( member(X2,X0)
<=> member(X2,X1) )
| ~ ilf_type(X2,set_type) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f86,plain,
! [X0,X1] :
( ( X0 = X1
<=> sP3(X1,X0) )
| ~ sP4(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f58,plain,
! [X0] :
( ! [X1] :
( ( X0 = X1
<=> ! [X2] :
( ( member(X2,X0)
<=> member(X2,X1) )
| ~ 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)
=> ( X0 = X1
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ( member(X2,X0)
<=> member(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19) ).
fof(f264,plain,
! [X3,X0,X1] :
( ~ sP3(X0,X1)
| ~ member(X3,X1)
| member(X3,X0) ),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f250,f187,f251,f252,f186,f253,f254,f190,f255,f256,f189,f257,f258,f188,f259,f260,f193,f261,f262,f195,f200,f199,f198,f197,f263,f196]) ).
fof(f196,plain,
! [X3,X0,X1] :
( member(X3,X0)
| ~ member(X3,X1)
| ~ ilf_type(X3,set_type)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0,X1] :
( ( sP3(X0,X1)
| ( ( ~ member(sK16(X0,X1),X0)
| ~ member(sK16(X0,X1),X1) )
& ( member(sK16(X0,X1),X0)
| member(sK16(X0,X1),X1) )
& ilf_type(sK16(X0,X1),set_type) ) )
& ( ! [X3] :
( ( ( member(X3,X1)
| ~ member(X3,X0) )
& ( member(X3,X0)
| ~ member(X3,X1) ) )
| ~ ilf_type(X3,set_type) )
| ~ sP3(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f125,f126]) ).
fof(f126,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ member(X2,X0)
| ~ member(X2,X1) )
& ( member(X2,X0)
| member(X2,X1) )
& ilf_type(X2,set_type) )
=> ( ( ~ member(sK16(X0,X1),X0)
| ~ member(sK16(X0,X1),X1) )
& ( member(sK16(X0,X1),X0)
| member(sK16(X0,X1),X1) )
& ilf_type(sK16(X0,X1),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f125,plain,
! [X0,X1] :
( ( sP3(X0,X1)
| ? [X2] :
( ( ~ member(X2,X0)
| ~ member(X2,X1) )
& ( member(X2,X0)
| member(X2,X1) )
& ilf_type(X2,set_type) ) )
& ( ! [X3] :
( ( ( member(X3,X1)
| ~ member(X3,X0) )
& ( member(X3,X0)
| ~ member(X3,X1) ) )
| ~ ilf_type(X3,set_type) )
| ~ sP3(X0,X1) ) ),
inference(rectify,[],[f124]) ).
fof(f124,plain,
! [X1,X0] :
( ( sP3(X1,X0)
| ? [X2] :
( ( ~ member(X2,X1)
| ~ member(X2,X0) )
& ( member(X2,X1)
| member(X2,X0) )
& ilf_type(X2,set_type) ) )
& ( ! [X2] :
( ( ( member(X2,X0)
| ~ member(X2,X1) )
& ( member(X2,X1)
| ~ member(X2,X0) ) )
| ~ ilf_type(X2,set_type) )
| ~ sP3(X1,X0) ) ),
inference(flattening,[],[f123]) ).
fof(f123,plain,
! [X1,X0] :
( ( sP3(X1,X0)
| ? [X2] :
( ( ~ member(X2,X1)
| ~ member(X2,X0) )
& ( member(X2,X1)
| member(X2,X0) )
& ilf_type(X2,set_type) ) )
& ( ! [X2] :
( ( ( member(X2,X0)
| ~ member(X2,X1) )
& ( member(X2,X1)
| ~ member(X2,X0) ) )
| ~ ilf_type(X2,set_type) )
| ~ sP3(X1,X0) ) ),
inference(nnf_transformation,[],[f85]) ).
fof(f263,plain,
! [X3,X0,X1] :
( ~ sP3(X0,X1)
| ~ member(X3,X0)
| member(X3,X1) ),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f250,f187,f251,f252,f186,f253,f254,f190,f255,f256,f189,f257,f258,f188,f259,f260,f193,f261,f262,f195,f200,f199,f198,f197]) ).
fof(f197,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f127]) ).
fof(f198,plain,
! [X0,X1] :
( sP3(X0,X1)
| ilf_type(sK16(X0,X1),set_type) ),
inference(cnf_transformation,[],[f127]) ).
fof(f199,plain,
! [X0,X1] :
( member(sK16(X0,X1),X1)
| member(sK16(X0,X1),X0)
| sP3(X0,X1) ),
inference(cnf_transformation,[],[f127]) ).
fof(f200,plain,
! [X0,X1] :
( ~ member(sK16(X0,X1),X1)
| ~ member(sK16(X0,X1),X0)
| sP3(X0,X1) ),
inference(cnf_transformation,[],[f127]) ).
fof(f195,plain,
! [X0,X1] :
( X0 = X1
| ~ sP3(X1,X0)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0,X1] :
( ( ( X0 = X1
| ~ sP3(X1,X0) )
& ( sP3(X1,X0)
| X0 != X1 ) )
| ~ sP4(X0,X1) ),
inference(nnf_transformation,[],[f86]) ).
fof(f262,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| X0 = X1
| ~ subset(X0,X1) ),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f250,f187,f251,f252,f186,f253,f254,f190,f255,f256,f189,f257,f258,f188,f259,f260,f193,f261]) ).
fof(f261,plain,
! [X0,X1] :
( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f250,f187,f251,f252,f186,f253,f254,f190,f255,f256,f189,f257,f258,f188,f259,f260,f193]) ).
fof(f193,plain,
! [X0,X1] :
( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0] :
( ! [X1] :
( ( ( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) )
& ( ( subset(X1,X0)
& subset(X0,X1) )
| X0 != X1 ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f120]) ).
fof(f120,plain,
! [X0] :
( ! [X1] :
( ( ( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) )
& ( ( subset(X1,X0)
& subset(X0,X1) )
| X0 != X1 ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0] :
( ! [X1] :
( ( X0 = X1
<=> ( subset(X1,X0)
& subset(X0,X1) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( X0 = X1
<=> ( subset(X1,X0)
& subset(X0,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9) ).
fof(f260,plain,
! [X0,X1] :
( X0 = X1
| ilf_type(sK15(X0,X1),set_type) ),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f250,f187,f251,f252,f186,f253,f254,f190,f255,f256,f189,f257,f258,f188,f259]) ).
fof(f259,plain,
! [X0,X1] :
( X0 = X1
| ilf_type(sK15(X0,X1),set_type)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f250,f187,f251,f252,f186,f253,f254,f190,f255,f256,f189,f257,f258,f188]) ).
fof(f188,plain,
! [X0,X1] :
( X0 = X1
| ilf_type(sK15(X0,X1),set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ( ( ~ member(sK15(X0,X1),X1)
| ~ member(sK15(X0,X1),X0) )
& ( member(sK15(X0,X1),X1)
| member(sK15(X0,X1),X0) )
& ilf_type(sK15(X0,X1),set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f117,f118]) ).
fof(f118,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ member(X2,X1)
| ~ member(X2,X0) )
& ( member(X2,X1)
| member(X2,X0) )
& ilf_type(X2,set_type) )
=> ( ( ~ member(sK15(X0,X1),X1)
| ~ member(sK15(X0,X1),X0) )
& ( member(sK15(X0,X1),X1)
| member(sK15(X0,X1),X0) )
& ilf_type(sK15(X0,X1),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f117,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ? [X2] :
( ( ~ member(X2,X1)
| ~ member(X2,X0) )
& ( member(X2,X1)
| member(X2,X0) )
& ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f116]) ).
fof(f116,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ? [X2] :
( ( ~ member(X2,X1)
| ~ member(X2,X0) )
& ( member(X2,X1)
| member(X2,X0) )
& ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ? [X2] :
( ( member(X2,X0)
<~> member(X2,X1) )
& ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f55]) ).
fof(f55,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ? [X2] :
( ( member(X2,X0)
<~> member(X2,X1) )
& ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ! [X2] :
( ilf_type(X2,set_type)
=> ( member(X2,X0)
<=> member(X2,X1) ) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4) ).
fof(f258,plain,
! [X0,X1] :
( member(sK15(X0,X1),X1)
| member(sK15(X0,X1),X0)
| X0 = X1 ),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f250,f187,f251,f252,f186,f253,f254,f190,f255,f256,f189,f257]) ).
fof(f257,plain,
! [X0,X1] :
( X0 = X1
| member(sK15(X0,X1),X1)
| member(sK15(X0,X1),X0)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f250,f187,f251,f252,f186,f253,f254,f190,f255,f256,f189]) ).
fof(f189,plain,
! [X0,X1] :
( X0 = X1
| member(sK15(X0,X1),X1)
| member(sK15(X0,X1),X0)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f119]) ).
fof(f256,plain,
! [X0,X1] :
( ~ member(sK15(X0,X1),X1)
| X0 = X1
| ~ member(sK15(X0,X1),X0) ),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f250,f187,f251,f252,f186,f253,f254,f190,f255]) ).
fof(f255,plain,
! [X0,X1] :
( X0 = X1
| ~ member(sK15(X0,X1),X1)
| ~ member(sK15(X0,X1),X0)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f250,f187,f251,f252,f186,f253,f254,f190]) ).
fof(f190,plain,
! [X0,X1] :
( X0 = X1
| ~ member(sK15(X0,X1),X1)
| ~ member(sK15(X0,X1),X0)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f119]) ).
fof(f254,plain,
! [X3,X0,X1] :
( ~ ilf_type(X3,subset_type(cross_product(X0,X1)))
| ilf_type(X3,relation_type(X0,X1)) ),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f250,f187,f251,f252,f186,f253]) ).
fof(f253,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,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f250,f187,f251,f252,f186]) ).
fof(f186,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,[],[f54]) ).
fof(f54,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,[],[f37]) ).
fof(f37,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,[],[f7]) ).
fof(f7,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',p7) ).
fof(f252,plain,
! [X2,X0,X1] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f250,f187,f251]) ).
fof(f251,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,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f250,f187]) ).
fof(f187,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,[],[f54]) ).
fof(f250,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249]) ).
fof(f249,plain,
! [X0,X1] :
( unordered_pair(X0,X1) = unordered_pair(X1,X0)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185]) ).
fof(f185,plain,
! [X0,X1] :
( unordered_pair(X0,X1) = unordered_pair(X1,X0)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0] :
( ! [X1] :
( unordered_pair(X0,X1) = unordered_pair(X1,X0)
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> unordered_pair(X0,X1) = unordered_pair(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14) ).
fof(f248,plain,
! [X0,X1] : ilf_type(ordered_pair(X0,X1),set_type),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247]) ).
fof(f247,plain,
! [X0,X1] :
( ilf_type(ordered_pair(X0,X1),set_type)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184]) ).
fof(f184,plain,
! [X0,X1] :
( ilf_type(ordered_pair(X0,X1),set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0] :
( ! [X1] :
( ilf_type(ordered_pair(X0,X1),set_type)
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ilf_type(ordered_pair(X0,X1),set_type) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6) ).
fof(f246,plain,
! [X0,X1] : ilf_type(unordered_pair(X0,X1),set_type),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245]) ).
fof(f245,plain,
! [X0,X1] :
( ilf_type(unordered_pair(X0,X1),set_type)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183]) ).
fof(f183,plain,
! [X0,X1] :
( ilf_type(unordered_pair(X0,X1),set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0] :
( ! [X1] :
( ilf_type(unordered_pair(X0,X1),set_type)
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ilf_type(unordered_pair(X0,X1),set_type) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p13) ).
fof(f244,plain,
! [X0,X1] : ilf_type(cross_product(X0,X1),set_type),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243]) ).
fof(f243,plain,
! [X0,X1] :
( ilf_type(cross_product(X0,X1),set_type)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182]) ).
fof(f182,plain,
! [X0,X1] :
( ilf_type(cross_product(X0,X1),set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0] :
( ! [X1] :
( ilf_type(cross_product(X0,X1),set_type)
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,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',p12) ).
fof(f242,plain,
! [X0] :
( ~ ilf_type(X0,binary_relation_type)
| relation_like(X0) ),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179]) ).
fof(f179,plain,
! [X0] :
( relation_like(X0)
| ~ ilf_type(X0,binary_relation_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,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,[],[f114]) ).
fof(f114,plain,
! [X0] :
( ( ( ilf_type(X0,binary_relation_type)
| ~ ilf_type(X0,set_type)
| ~ relation_like(X0) )
& ( ( ilf_type(X0,set_type)
& relation_like(X0) )
| ~ ilf_type(X0,binary_relation_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] :
( ( ilf_type(X0,binary_relation_type)
<=> ( ilf_type(X0,set_type)
& relation_like(X0) ) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,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',p15) ).
fof(f241,plain,
! [X0] :
( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0) ),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233]) ).
fof(f233,plain,
! [X0] :
( ilf_type(X0,binary_relation_type)
| ~ ilf_type(X0,set_type)
| ~ relation_like(X0) ),
inference(duplicate_literal_removal,[],[f181]) ).
fof(f181,plain,
! [X0] :
( ilf_type(X0,binary_relation_type)
| ~ ilf_type(X0,set_type)
| ~ relation_like(X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f115]) ).
fof(f240,plain,
! [X2,X0] :
( ~ member(X2,X0)
| ~ ilf_type(X2,set_type)
| ~ empty(X0) ),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176]) ).
fof(f176,plain,
! [X2,X0] :
( ~ member(X2,X0)
| ~ ilf_type(X2,set_type)
| ~ empty(X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0] :
( ( ( empty(X0)
| ( member(sK14(X0),X0)
& ilf_type(sK14(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,[sK14])],[f111,f112]) ).
fof(f112,plain,
! [X0] :
( ? [X1] :
( member(X1,X0)
& ilf_type(X1,set_type) )
=> ( member(sK14(X0),X0)
& ilf_type(sK14(X0),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f111,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,[],[f110]) ).
fof(f110,plain,
! [X0] :
( ( ( empty(X0)
| ? [X1] :
( member(X1,X0)
& ilf_type(X1,set_type) ) )
& ( ! [X1] :
( ~ member(X1,X0)
| ~ ilf_type(X1,set_type) )
| ~ empty(X0) ) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0] :
( ( empty(X0)
<=> ! [X1] :
( ~ member(X1,X0)
| ~ ilf_type(X1,set_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,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',p28) ).
fof(f239,plain,
! [X0] :
( empty(X0)
| ilf_type(sK14(X0),set_type) ),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177]) ).
fof(f177,plain,
! [X0] :
( empty(X0)
| ilf_type(sK14(X0),set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f113]) ).
fof(f238,plain,
! [X0] :
( member(sK14(X0),X0)
| empty(X0) ),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178]) ).
fof(f178,plain,
! [X0] :
( empty(X0)
| member(sK14(X0),X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f113]) ).
fof(f237,plain,
! [X0] : sP2(X0),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175]) ).
fof(f175,plain,
! [X0] :
( sP2(X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0] :
( sP2(X0)
| ~ ilf_type(X0,set_type) ),
inference(definition_folding,[],[f47,f83,f82]) ).
fof(f82,plain,
! [X0] :
( sP1(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,[sP1])]) ).
fof(f83,plain,
! [X0] :
( ( relation_like(X0)
<=> sP1(X0) )
| ~ sP2(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f47,plain,
! [X0] :
( ( relation_like(X0)
<=> ! [X1] :
( ? [X2] :
( ? [X3] :
( ordered_pair(X2,X3) = X1
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) )
| ~ member(X1,X0)
| ~ ilf_type(X1,set_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f46]) ).
fof(f46,plain,
! [X0] :
( ( relation_like(X0)
<=> ! [X1] :
( ? [X2] :
( ? [X3] :
( ordered_pair(X2,X3) = X1
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) )
| ~ member(X1,X0)
| ~ ilf_type(X1,set_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,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',p26) ).
fof(f169,plain,
! [X0,X4] :
( ilf_type(sK12(X4),set_type)
| ~ member(X4,X0)
| ~ ilf_type(X4,set_type)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0] :
( ( sP1(X0)
| ( ! [X2] :
( ! [X3] :
( ordered_pair(X2,X3) != sK11(X0)
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) )
& member(sK11(X0),X0)
& ilf_type(sK11(X0),set_type) ) )
& ( ! [X4] :
( ( ordered_pair(sK12(X4),sK13(X4)) = X4
& ilf_type(sK13(X4),set_type)
& ilf_type(sK12(X4),set_type) )
| ~ member(X4,X0)
| ~ ilf_type(X4,set_type) )
| ~ sP1(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12,sK13])],[f105,f108,f107,f106]) ).
fof(f106,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) != sK11(X0)
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) )
& member(sK11(X0),X0)
& ilf_type(sK11(X0),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f107,plain,
! [X4] :
( ? [X5] :
( ? [X6] :
( ordered_pair(X5,X6) = X4
& ilf_type(X6,set_type) )
& ilf_type(X5,set_type) )
=> ( ? [X6] :
( ordered_pair(sK12(X4),X6) = X4
& ilf_type(X6,set_type) )
& ilf_type(sK12(X4),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f108,plain,
! [X4] :
( ? [X6] :
( ordered_pair(sK12(X4),X6) = X4
& ilf_type(X6,set_type) )
=> ( ordered_pair(sK12(X4),sK13(X4)) = X4
& ilf_type(sK13(X4),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f105,plain,
! [X0] :
( ( sP1(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) )
| ~ sP1(X0) ) ),
inference(rectify,[],[f104]) ).
fof(f104,plain,
! [X0] :
( ( sP1(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) )
| ~ sP1(X0) ) ),
inference(nnf_transformation,[],[f82]) ).
fof(f170,plain,
! [X0,X4] :
( ilf_type(sK13(X4),set_type)
| ~ member(X4,X0)
| ~ ilf_type(X4,set_type)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f171,plain,
! [X0,X4] :
( ordered_pair(sK12(X4),sK13(X4)) = X4
| ~ member(X4,X0)
| ~ ilf_type(X4,set_type)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f172,plain,
! [X0] :
( sP1(X0)
| ilf_type(sK11(X0),set_type) ),
inference(cnf_transformation,[],[f109]) ).
fof(f173,plain,
! [X0] :
( member(sK11(X0),X0)
| sP1(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f174,plain,
! [X2,X3,X0] :
( sP1(X0)
| ordered_pair(X2,X3) != sK11(X0)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type) ),
inference(cnf_transformation,[],[f109]) ).
fof(f167,plain,
! [X0] :
( sP1(X0)
| ~ relation_like(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0] :
( ( ( relation_like(X0)
| ~ sP1(X0) )
& ( sP1(X0)
| ~ relation_like(X0) ) )
| ~ sP2(X0) ),
inference(nnf_transformation,[],[f83]) ).
fof(f168,plain,
! [X0] :
( relation_like(X0)
| ~ sP1(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f236,plain,
! [X0] : ~ empty(power_set(X0)),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165]) ).
fof(f165,plain,
! [X0] :
( ~ empty(power_set(X0))
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0] :
( ( ilf_type(power_set(X0),set_type)
& ~ empty(power_set(X0)) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,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',p23) ).
fof(f235,plain,
! [X0] : ilf_type(power_set(X0),set_type),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166]) ).
fof(f166,plain,
! [X0] :
( ilf_type(power_set(X0),set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f45]) ).
fof(f234,plain,
! [X0] : ilf_type(singleton(X0),set_type),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164]) ).
fof(f164,plain,
! [X0] :
( ilf_type(singleton(X0),set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0] :
( ilf_type(singleton(X0),set_type)
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ilf_type(singleton(X0),set_type) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11) ).
fof(f160,plain,
! [X0,X1] :
( ilf_type(sK10(X0,X1),set_type)
| ~ member(X1,range_of(X0))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,binary_relation_type) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0] :
( ! [X1] :
( ( ( member(X1,range_of(X0))
| ! [X2] :
( ~ member(ordered_pair(X2,X1),X0)
| ~ ilf_type(X2,set_type) ) )
& ( ( member(ordered_pair(sK10(X0,X1),X1),X0)
& ilf_type(sK10(X0,X1),set_type) )
| ~ member(X1,range_of(X0)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,binary_relation_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f100,f101]) ).
fof(f101,plain,
! [X0,X1] :
( ? [X3] :
( member(ordered_pair(X3,X1),X0)
& ilf_type(X3,set_type) )
=> ( member(ordered_pair(sK10(X0,X1),X1),X0)
& ilf_type(sK10(X0,X1),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f100,plain,
! [X0] :
( ! [X1] :
( ( ( member(X1,range_of(X0))
| ! [X2] :
( ~ member(ordered_pair(X2,X1),X0)
| ~ ilf_type(X2,set_type) ) )
& ( ? [X3] :
( member(ordered_pair(X3,X1),X0)
& ilf_type(X3,set_type) )
| ~ member(X1,range_of(X0)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,binary_relation_type) ),
inference(rectify,[],[f99]) ).
fof(f99,plain,
! [X0] :
( ! [X1] :
( ( ( member(X1,range_of(X0))
| ! [X2] :
( ~ member(ordered_pair(X2,X1),X0)
| ~ ilf_type(X2,set_type) ) )
& ( ? [X2] :
( member(ordered_pair(X2,X1),X0)
& ilf_type(X2,set_type) )
| ~ member(X1,range_of(X0)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,binary_relation_type) ),
inference(nnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0] :
( ! [X1] :
( ( member(X1,range_of(X0))
<=> ? [X2] :
( member(ordered_pair(X2,X1),X0)
& ilf_type(X2,set_type) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,binary_relation_type) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ilf_type(X0,binary_relation_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( member(X1,range_of(X0))
<=> ? [X2] :
( member(ordered_pair(X2,X1),X0)
& ilf_type(X2,set_type) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
fof(f161,plain,
! [X0,X1] :
( member(ordered_pair(sK10(X0,X1),X1),X0)
| ~ member(X1,range_of(X0))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,binary_relation_type) ),
inference(cnf_transformation,[],[f102]) ).
fof(f162,plain,
! [X2,X0,X1] :
( member(X1,range_of(X0))
| ~ member(ordered_pair(X2,X1),X0)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,binary_relation_type) ),
inference(cnf_transformation,[],[f102]) ).
fof(f159,plain,
! [X0] :
( ilf_type(range_of(X0),set_type)
| ~ ilf_type(X0,binary_relation_type) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0] :
( ilf_type(range_of(X0),set_type)
| ~ ilf_type(X0,binary_relation_type) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( ilf_type(X0,binary_relation_type)
=> ilf_type(range_of(X0),set_type) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2) ).
fof(f158,plain,
! [X0] :
( ilf_type(domain_of(X0),set_type)
| ~ ilf_type(X0,binary_relation_type) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0] :
( ilf_type(domain_of(X0),set_type)
| ~ ilf_type(X0,binary_relation_type) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( ilf_type(X0,binary_relation_type)
=> ilf_type(domain_of(X0),set_type) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10) ).
fof(f157,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p34) ).
fof(f152,plain,
ilf_type(sK7,set_type),
inference(cnf_transformation,[],[f98]) ).
fof(f153,plain,
ilf_type(sK8,set_type),
inference(cnf_transformation,[],[f98]) ).
fof(f155,plain,
( sK8 = range(sK7,sK8,sK9)
| sP0(sK9,sK8) ),
inference(cnf_transformation,[],[f98]) ).
fof(f156,plain,
( sK8 != range(sK7,sK8,sK9)
| ~ sP0(sK9,sK8) ),
inference(cnf_transformation,[],[f98]) ).
fof(f147,plain,
! [X0,X1,X4] :
( ilf_type(sK6(X0,X4),set_type)
| ~ member(X4,X1)
| ~ ilf_type(X4,set_type)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ( ! [X3] :
( ~ member(ordered_pair(X3,sK5(X0,X1)),X0)
| ~ ilf_type(X3,set_type) )
& member(sK5(X0,X1),X1)
& ilf_type(sK5(X0,X1),set_type) ) )
& ( ! [X4] :
( ( member(ordered_pair(sK6(X0,X4),X4),X0)
& ilf_type(sK6(X0,X4),set_type) )
| ~ member(X4,X1)
| ~ ilf_type(X4,set_type) )
| ~ sP0(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f89,f91,f90]) ).
fof(f90,plain,
! [X0,X1] :
( ? [X2] :
( ! [X3] :
( ~ member(ordered_pair(X3,X2),X0)
| ~ ilf_type(X3,set_type) )
& member(X2,X1)
& ilf_type(X2,set_type) )
=> ( ! [X3] :
( ~ member(ordered_pair(X3,sK5(X0,X1)),X0)
| ~ ilf_type(X3,set_type) )
& member(sK5(X0,X1),X1)
& ilf_type(sK5(X0,X1),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f91,plain,
! [X0,X4] :
( ? [X5] :
( member(ordered_pair(X5,X4),X0)
& ilf_type(X5,set_type) )
=> ( member(ordered_pair(sK6(X0,X4),X4),X0)
& ilf_type(sK6(X0,X4),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f89,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X2] :
( ! [X3] :
( ~ member(ordered_pair(X3,X2),X0)
| ~ ilf_type(X3,set_type) )
& member(X2,X1)
& ilf_type(X2,set_type) ) )
& ( ! [X4] :
( ? [X5] :
( member(ordered_pair(X5,X4),X0)
& ilf_type(X5,set_type) )
| ~ member(X4,X1)
| ~ ilf_type(X4,set_type) )
| ~ sP0(X0,X1) ) ),
inference(rectify,[],[f88]) ).
fof(f88,plain,
! [X2,X1] :
( ( sP0(X2,X1)
| ? [X3] :
( ! [X4] :
( ~ member(ordered_pair(X4,X3),X2)
| ~ ilf_type(X4,set_type) )
& member(X3,X1)
& ilf_type(X3,set_type) ) )
& ( ! [X3] :
( ? [X4] :
( member(ordered_pair(X4,X3),X2)
& ilf_type(X4,set_type) )
| ~ member(X3,X1)
| ~ ilf_type(X3,set_type) )
| ~ sP0(X2,X1) ) ),
inference(nnf_transformation,[],[f80]) ).
fof(f148,plain,
! [X0,X1,X4] :
( member(ordered_pair(sK6(X0,X4),X4),X0)
| ~ member(X4,X1)
| ~ ilf_type(X4,set_type)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f92]) ).
fof(f149,plain,
! [X0,X1] :
( sP0(X0,X1)
| ilf_type(sK5(X0,X1),set_type) ),
inference(cnf_transformation,[],[f92]) ).
fof(f150,plain,
! [X0,X1] :
( member(sK5(X0,X1),X1)
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f92]) ).
fof(f151,plain,
! [X3,X0,X1] :
( sP0(X0,X1)
| ~ member(ordered_pair(X3,sK5(X0,X1)),X0)
| ~ ilf_type(X3,set_type) ),
inference(cnf_transformation,[],[f92]) ).
fof(f327,plain,
( sK8 != range(sK7,sK8,sK9)
| spl23_2 ),
inference(avatar_component_clause,[],[f326]) ).
fof(f326,plain,
( spl23_2
<=> sK8 = range(sK7,sK8,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_2])]) ).
fof(f2157,plain,
( sK8 = range_of(sK9)
| ~ subset(range_of(sK9),sK8)
| ~ spl23_34 ),
inference(resolution,[],[f2154,f262]) ).
fof(f2154,plain,
( subset(sK8,range_of(sK9))
| ~ spl23_34 ),
inference(duplicate_literal_removal,[],[f2153]) ).
fof(f2153,plain,
( subset(sK8,range_of(sK9))
| subset(sK8,range_of(sK9))
| ~ spl23_34 ),
inference(resolution,[],[f2149,f270]) ).
fof(f2149,plain,
( ! [X0] :
( ~ member(sK17(X0,range_of(sK9)),sK8)
| subset(X0,range_of(sK9)) )
| ~ spl23_34 ),
inference(resolution,[],[f2135,f268]) ).
fof(f2135,plain,
( ! [X0] :
( member(X0,range_of(sK9))
| ~ member(X0,sK8) )
| ~ spl23_34 ),
inference(avatar_component_clause,[],[f2134]) ).
fof(f2134,plain,
( spl23_34
<=> ! [X0] :
( ~ member(X0,sK8)
| member(X0,range_of(sK9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_34])]) ).
fof(f2165,plain,
subset(range_of(sK9),sK8),
inference(duplicate_literal_removal,[],[f2162]) ).
fof(f2162,plain,
( subset(range_of(sK9),sK8)
| subset(range_of(sK9),sK8) ),
inference(resolution,[],[f1600,f268]) ).
fof(f1600,plain,
! [X0] :
( member(sK17(range_of(sK9),X0),sK8)
| subset(range_of(sK9),X0) ),
inference(resolution,[],[f1585,f270]) ).
fof(f1585,plain,
! [X0] :
( ~ member(X0,range_of(sK9))
| member(X0,sK8) ),
inference(resolution,[],[f1584,f485]) ).
fof(f485,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,subset_type(X1))
| ~ member(X2,X0)
| member(X2,X1) ),
inference(resolution,[],[f477,f284]) ).
fof(f477,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ~ ilf_type(X0,subset_type(X1)) ),
inference(subsumption_resolution,[],[f474,f236]) ).
fof(f474,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| empty(power_set(X1))
| ~ ilf_type(X0,subset_type(X1)) ),
inference(resolution,[],[f472,f288]) ).
fof(f472,plain,
! [X0,X1] :
( ~ ilf_type(X0,member_type(X1))
| member(X0,X1)
| empty(X1) ),
inference(subsumption_resolution,[],[f312,f157]) ).
fof(f312,plain,
! [X0,X1] :
( member(X0,X1)
| ~ ilf_type(X0,member_type(X1))
| empty(X1)
| ~ ilf_type(X0,set_type) ),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f250,f187,f251,f252,f186,f253,f254,f190,f255,f256,f189,f257,f258,f188,f259,f260,f193,f261,f262,f195,f200,f199,f198,f197,f263,f196,f264,f201,f265,f266,f205,f267,f268,f204,f269,f270,f203,f271,f272,f202,f273,f274,f275,f209,f276,f277,f208,f278,f279,f207,f280,f281,f206,f282,f283,f284,f211,f285,f286,f210,f287,f288,f213,f289,f290,f212,f291,f292,f231,f293,f294,f295,f296,f232,f297,f298,f299,f300,f216,f301,f302,f217,f303,f304,f218,f305,f306,f219,f307,f308,f220,f221,f309,f310,f223,f311,f222]) ).
fof(f222,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,[],[f140]) ).
fof(f140,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,[],[f74]) ).
fof(f74,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,[],[f73]) ).
fof(f73,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,[],[f24]) ).
fof(f24,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',p24) ).
fof(f311,plain,
! [X0,X1] :
( ilf_type(X0,member_type(X1))
| ~ member(X0,X1)
| empty(X1)
| ~ ilf_type(X0,set_type) ),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f250,f187,f251,f252,f186,f253,f254,f190,f255,f256,f189,f257,f258,f188,f259,f260,f193,f261,f262,f195,f200,f199,f198,f197,f263,f196,f264,f201,f265,f266,f205,f267,f268,f204,f269,f270,f203,f271,f272,f202,f273,f274,f275,f209,f276,f277,f208,f278,f279,f207,f280,f281,f206,f282,f283,f284,f211,f285,f286,f210,f287,f288,f213,f289,f290,f212,f291,f292,f231,f293,f294,f295,f296,f232,f297,f298,f299,f300,f216,f301,f302,f217,f303,f304,f218,f305,f306,f219,f307,f308,f220,f221,f309,f310,f223]) ).
fof(f223,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,[],[f140]) ).
fof(f310,plain,
! [X0,X1] : ilf_type(sK19(X0,X1),relation_type(X1,X0)),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f250,f187,f251,f252,f186,f253,f254,f190,f255,f256,f189,f257,f258,f188,f259,f260,f193,f261,f262,f195,f200,f199,f198,f197,f263,f196,f264,f201,f265,f266,f205,f267,f268,f204,f269,f270,f203,f271,f272,f202,f273,f274,f275,f209,f276,f277,f208,f278,f279,f207,f280,f281,f206,f282,f283,f284,f211,f285,f286,f210,f287,f288,f213,f289,f290,f212,f291,f292,f231,f293,f294,f295,f296,f232,f297,f298,f299,f300,f216,f301,f302,f217,f303,f304,f218,f305,f306,f219,f307,f308,f220,f221,f309]) ).
fof(f309,plain,
! [X0,X1] :
( ilf_type(sK19(X0,X1),relation_type(X1,X0))
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f250,f187,f251,f252,f186,f253,f254,f190,f255,f256,f189,f257,f258,f188,f259,f260,f193,f261,f262,f195,f200,f199,f198,f197,f263,f196,f264,f201,f265,f266,f205,f267,f268,f204,f269,f270,f203,f271,f272,f202,f273,f274,f275,f209,f276,f277,f208,f278,f279,f207,f280,f281,f206,f282,f283,f284,f211,f285,f286,f210,f287,f288,f213,f289,f290,f212,f291,f292,f231,f293,f294,f295,f296,f232,f297,f298,f299,f300,f216,f301,f302,f217,f303,f304,f218,f305,f306,f219,f307,f308,f220,f221]) ).
fof(f221,plain,
! [X0,X1] :
( ilf_type(sK19(X0,X1),relation_type(X1,X0))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0] :
( ! [X1] :
( ilf_type(sK19(X0,X1),relation_type(X1,X0))
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f72,f138]) ).
fof(f138,plain,
! [X0,X1] :
( ? [X2] : ilf_type(X2,relation_type(X1,X0))
=> ilf_type(sK19(X0,X1),relation_type(X1,X0)) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
! [X0] :
( ! [X1] :
( ? [X2] : ilf_type(X2,relation_type(X1,X0))
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ? [X2] : ilf_type(X2,relation_type(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8) ).
fof(f220,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,[],[f71]) ).
fof(f71,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,[],[f27]) ).
fof(f27,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',p27) ).
fof(f308,plain,
! [X2,X0,X1] :
( ilf_type(range(X0,X1,X2),subset_type(X1))
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f250,f187,f251,f252,f186,f253,f254,f190,f255,f256,f189,f257,f258,f188,f259,f260,f193,f261,f262,f195,f200,f199,f198,f197,f263,f196,f264,f201,f265,f266,f205,f267,f268,f204,f269,f270,f203,f271,f272,f202,f273,f274,f275,f209,f276,f277,f208,f278,f279,f207,f280,f281,f206,f282,f283,f284,f211,f285,f286,f210,f287,f288,f213,f289,f290,f212,f291,f292,f231,f293,f294,f295,f296,f232,f297,f298,f299,f300,f216,f301,f302,f217,f303,f304,f218,f305,f306,f219,f307]) ).
fof(f307,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,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f250,f187,f251,f252,f186,f253,f254,f190,f255,f256,f189,f257,f258,f188,f259,f260,f193,f261,f262,f195,f200,f199,f198,f197,f263,f196,f264,f201,f265,f266,f205,f267,f268,f204,f269,f270,f203,f271,f272,f202,f273,f274,f275,f209,f276,f277,f208,f278,f279,f207,f280,f281,f206,f282,f283,f284,f211,f285,f286,f210,f287,f288,f213,f289,f290,f212,f291,f292,f231,f293,f294,f295,f296,f232,f297,f298,f299,f300,f216,f301,f302,f217,f303,f304,f218,f305,f306,f219]) ).
fof(f219,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,[],[f70]) ).
fof(f70,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,[],[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(range(X0,X1,X2),subset_type(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p33) ).
fof(f306,plain,
! [X2,X0,X1] :
( ilf_type(domain(X0,X1,X2),subset_type(X0))
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f250,f187,f251,f252,f186,f253,f254,f190,f255,f256,f189,f257,f258,f188,f259,f260,f193,f261,f262,f195,f200,f199,f198,f197,f263,f196,f264,f201,f265,f266,f205,f267,f268,f204,f269,f270,f203,f271,f272,f202,f273,f274,f275,f209,f276,f277,f208,f278,f279,f207,f280,f281,f206,f282,f283,f284,f211,f285,f286,f210,f287,f288,f213,f289,f290,f212,f291,f292,f231,f293,f294,f295,f296,f232,f297,f298,f299,f300,f216,f301,f302,f217,f303,f304,f218,f305]) ).
fof(f305,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,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f250,f187,f251,f252,f186,f253,f254,f190,f255,f256,f189,f257,f258,f188,f259,f260,f193,f261,f262,f195,f200,f199,f198,f197,f263,f196,f264,f201,f265,f266,f205,f267,f268,f204,f269,f270,f203,f271,f272,f202,f273,f274,f275,f209,f276,f277,f208,f278,f279,f207,f280,f281,f206,f282,f283,f284,f211,f285,f286,f210,f287,f288,f213,f289,f290,f212,f291,f292,f231,f293,f294,f295,f296,f232,f297,f298,f299,f300,f216,f301,f302,f217,f303,f304,f218]) ).
fof(f218,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,[],[f69]) ).
fof(f69,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,[],[f31]) ).
fof(f31,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ilf_type(domain(X0,X1,X2),subset_type(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p31) ).
fof(f1584,plain,
ilf_type(range_of(sK9),subset_type(sK8)),
inference(subsumption_resolution,[],[f1583,f154]) ).
fof(f1583,plain,
( ilf_type(range_of(sK9),subset_type(sK8))
| ~ ilf_type(sK9,relation_type(sK7,sK8)) ),
inference(superposition,[],[f308,f430]) ).
fof(f2139,plain,
spl23_33,
inference(avatar_contradiction_clause,[],[f2138]) ).
fof(f2138,plain,
( $false
| spl23_33 ),
inference(subsumption_resolution,[],[f2137,f961]) ).
fof(f961,plain,
relation_like(sK9),
inference(resolution,[],[f947,f154]) ).
fof(f947,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,relation_type(X1,X2))
| relation_like(X0) ),
inference(resolution,[],[f946,f252]) ).
fof(f946,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| relation_like(X2) ),
inference(subsumption_resolution,[],[f945,f157]) ).
fof(f945,plain,
! [X2,X0,X1] :
( relation_like(X2)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X0,set_type) ),
inference(subsumption_resolution,[],[f220,f157]) ).
fof(f2137,plain,
( ~ relation_like(sK9)
| spl23_33 ),
inference(resolution,[],[f2132,f241]) ).
fof(f2132,plain,
( ~ ilf_type(sK9,binary_relation_type)
| spl23_33 ),
inference(avatar_component_clause,[],[f2130]) ).
fof(f2130,plain,
( spl23_33
<=> ilf_type(sK9,binary_relation_type) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_33])]) ).
fof(f2136,plain,
( ~ spl23_33
| spl23_34
| ~ spl23_1 ),
inference(avatar_split_clause,[],[f1624,f322,f2134,f2130]) ).
fof(f322,plain,
( spl23_1
<=> sP0(sK9,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_1])]) ).
fof(f1624,plain,
( ! [X0] :
( ~ member(X0,sK8)
| member(X0,range_of(sK9))
| ~ ilf_type(sK9,binary_relation_type) )
| ~ spl23_1 ),
inference(resolution,[],[f1581,f290]) ).
fof(f1581,plain,
( ! [X0] :
( member(ordered_pair(sK6(sK9,X0),X0),sK9)
| ~ member(X0,sK8) )
| ~ spl23_1 ),
inference(resolution,[],[f324,f1133]) ).
fof(f1133,plain,
! [X0,X1,X4] :
( ~ sP0(X0,X1)
| ~ member(X4,X1)
| member(ordered_pair(sK6(X0,X4),X4),X0) ),
inference(subsumption_resolution,[],[f148,f157]) ).
fof(f324,plain,
( sP0(sK9,sK8)
| ~ spl23_1 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f2113,plain,
( spl23_27
| ~ spl23_29
| spl23_31 ),
inference(avatar_contradiction_clause,[],[f2112]) ).
fof(f2112,plain,
( $false
| spl23_27
| ~ spl23_29
| spl23_31 ),
inference(global_subsumption,[],[f1612,f151,f149,f148,f147,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f168,f167,f174,f172,f171,f170,f169,f175,f178,f177,f239,f176,f240,f233,f179,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f187,f251,f186,f253,f190,f255,f189,f257,f188,f259,f260,f193,f261,f195,f198,f197,f196,f201,f265,f205,f267,f204,f269,f203,f271,f272,f202,f273,f274,f209,f276,f208,f278,f207,f280,f281,f206,f282,f283,f211,f285,f210,f287,f213,f289,f212,f291,f231,f293,f294,f295,f296,f232,f297,f298,f299,f216,f301,f217,f303,f218,f305,f219,f307,f220,f221,f309,f223,f311,f222,f312,f224,f225,f226,f237,f152,f153,f157,f227,f236,f266,f154,f315,f241,f242,f316,f313,f318,f319,f173,f238,f155,f250,f310,f314,f150,f330,f331,f333,f268,f270,f338,f337,f339,f262,f341,f343,f263,f264,f275,f277,f279,f348,f347,f286,f354,f288,f351,f284,f363,f366,f367,f368,f300,f370,f371,f373,f374,f375,f369,f378,f379,f381,f382,f383,f384,f372,f385,f386,f387,f388,f389,f390,f391,f252,f352,f364,f393,f394,f392,f395,f365,f397,f398,f396,f399,f380,f404,f405,f406,f407,f408,f409,f410,f254,f412,f413,f358,f414,f415,f416,f417,f418,f419,f420,f401,f421,f290,f422,f423,f292,f424,f425,f302,f428,f429,f426,f427,f304,f432,f433,f431,f306,f435,f438,f439,f440,f441,f442,f308,f443,f449,f447,f450,f455,f457,f458,f459,f460,f452,f453,f461,f462,f465,f466,f463,f454,f469,f464,f470,f471,f472,f476,f481,f477,f487,f488,f489,f490,f483,f492,f494,f495,f496,f497,f498,f467,f499,f468,f500,f482,f502,f503,f504,f505,f506,f485,f509,f515,f517,f518,f520,f522,f539,f572,f573,f512,f576,f578,f579,f580,f582,f583,f524,f586,f585,f589,f528,f199,f611,f612,f613,f614,f615,f616,f617,f619,f620,f621,f622,f623,f624,f625,f626,f631,f632,f633,f634,f635,f636,f637,f630,f575,f643,f644,f645,f646,f647,f648,f641,f649,f642,f200,f669,f670,f674,f577,f680,f681,f682,f683,f684,f685,f678,f688,f689,f690,f691,f256,f729,f730,f581,f755,f756,f757,f758,f759,f760,f687,f764,f525,f769,f258,f785,f786,f787,f788,f789,f790,f791,f794,f795,f796,f797,f798,f799,f800,f508,f840,f841,f842,f843,f844,f845,f846,f847,f849,f850,f851,f852,f853,f854,f855,f856,f514,f857,f858,f859,f860,f861,f862,f863,f864,f866,f867,f868,f869,f870,f871,f872,f873,f766,f874,f876,f527,f754,f526,f679,f918,f521,f946,f951,f956,f948,f953,f954,f952,f947,f959,f961,f963,f949,f955,f523,f1003,f1052,f1053,f1054,f1055,f1056,f1058,f1059,f1060,f1061,f1062,f1063,f1064,f1065,f1067,f1068,f1069,f1070,f1075,f1076,f1080,f1081,f1079,f1084,f610,f1099,f1101,f1103,f1104,f1105,f1106,f1107,f1108,f1109,f1100,f1102,f1115,f618,f1119,f1121,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1122,f1131,f784,f1135,f1137,f1139,f1140,f1141,f1142,f1143,f1144,f1145,f1138,f1148,f793,f1152,f1154,f1156,f1157,f1158,f1159,f1160,f1161,f1162,f1155,f1164,f1066,f1167,f451,f1169,f1170,f491,f1173,f1175,f1176,f1177,f1178,f1179,f1180,f1181,f1172,f1182,f1183,f1184,f1133,f1174,f493,f1204,f1206,f1208,f1209,f1210,f1211,f1212,f1213,f1214,f1205,f1217,f1218,f1219,f1220,f1221,f1222,f1216,f1265,f1267,f1268,f1207,f1262,f1310,f1325,f1311,f1314,f1315,f1316,f1317,f1318,f1319,f1320,f1321,f1322,f1326,f1327,f1337,f1338,f1339,f1343,f1344,f1345,f1347,f1348,f1349,f1350,f1328,f1332,f1362,f1363,f1364,f1365,f1366,f1367,f1368,f1369,f1382,f1360,f1341,f1394,f1395,f1346,f1330,f1334,f1401,f1402,f1403,f1404,f1405,f1406,f1407,f1408,f1421,f1399,f1342,f1440,f1329,f1333,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f1465,f1438,f1477,f1331,f1335,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1502,f1443,f1480,f1336,f1557,f1558,f1560,f1561,f1562,f1563,f1564,f1309,f1568,f1569,f156,f430,f1584,f1585,f1586,f1588,f1589,f1590,f1592,f1593,f1594,f1595,f1596,f1597,f1598,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1587,f1591,f1630,f1639,f1640,f1642,f1643,f1637,f1670,f1672,f1677,f1665,f1683,f1687,f1680,f1688,f360,f1729,f1730,f1731,f1732,f1733,f1734,f1735,f1736,f1737,f1738,f1739,f1740,f1741,f1743,f1744,f1745,f1746,f1747,f1748,f1749,f1750,f1751,f1752,f1675,f1774,f1776,f1778,f1780,f1781,f1782,f362,f1820,f1821,f1822,f1823,f1824,f1825,f1826,f1827,f1828,f1829,f1830,f1831,f1832,f1834,f1835,f1836,f1837,f1838,f1839,f1840,f1841,f1842,f1843,f1638,f1844,f1846,f1848,f1850,f1851,f1852,f1656,f1854,f1856,f1858,f1859,f1860,f1861,f1862,f1676,f1864,f1866,f1868,f1869,f1870,f1871,f1872,f1679,f1876,f1878,f1880,f1881,f1882,f1883,f1884,f1684,f1889,f1891,f1893,f1894,f1895,f1896,f1897,f1324,f1902,f1903,f1904,f1905,f1779,f1965,f1967,f1969,f1970,f1971,f1972,f1973,f1978,f1979,f1641,f1980,f361,f1981,f1982,f1983,f1984,f1985,f1986,f1987,f1988,f1989,f1990,f1991,f1992,f1993,f1995,f1996,f1997,f1998,f1999,f2000,f2001,f2002,f2003,f2004,f1674,f2006,f2008,f2010,f2011,f2012,f2013,f2014,f1678,f2018,f2020,f2022,f2023,f2024,f2025,f2026,f1681,f2030,f2032,f2034,f2035,f2036,f2037,f2038,f1685,f2042,f2044,f2046,f2047,f2048,f2049,f2050,f1686,f2056,f2058,f2060,f2061,f2062,f2063,f2064,f1849,f2068,f2070,f2072,f2073,f2074,f2075,f2076,f1706,f950,f2093,f2086,f2094,f1636]) ).
fof(f1636,plain,
( relation_like(range_of(sK9))
| ~ spl23_29 ),
inference(resolution,[],[f1630,f315]) ).
fof(f2094,plain,
( ~ relation_like(range_of(sK9))
| spl23_31 ),
inference(resolution,[],[f2086,f241]) ).
fof(f2086,plain,
( ~ ilf_type(range_of(sK9),binary_relation_type)
| spl23_31 ),
inference(avatar_component_clause,[],[f2084]) ).
fof(f2084,plain,
( spl23_31
<=> ilf_type(range_of(sK9),binary_relation_type) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_31])]) ).
fof(f2093,plain,
( ! [X2,X0,X1] :
( relation_like(domain_of(range_of(sK9)))
| ~ ilf_type(range_of(sK9),relation_type(cross_product(X0,X1),X2)) )
| ~ spl23_29 ),
inference(superposition,[],[f950,f1641]) ).
fof(f950,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,[],[f946,f306]) ).
fof(f1706,plain,
( sP0(range_of(sK9),range_of(sK9))
| ~ ilf_type(range_of(sK9),binary_relation_type)
| ~ spl23_29 ),
inference(superposition,[],[f1568,f1680]) ).
fof(f2076,plain,
( ! [X0] :
( range_of(sK9) = sK14(power_set(sK20(sK21(power_set(range_of(X0))))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1849,f1335]) ).
fof(f2075,plain,
( ! [X0] :
( range_of(sK9) = sK14(power_set(sK20(sK21(power_set(X0)))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1849,f1205]) ).
fof(f2074,plain,
( ! [X0] :
( range_of(sK9) = sK14(power_set(sK20(sK20(range_of(X0)))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1849,f1334]) ).
fof(f2073,plain,
( ! [X0] :
( range_of(sK9) = sK14(power_set(sK20(sK20(X0))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1849,f678]) ).
fof(f2072,plain,
( ! [X0] :
( range_of(sK9) = sK14(power_set(sK20(sK14(power_set(range_of(X0))))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1849,f1333]) ).
fof(f2070,plain,
( ! [X0] :
( range_of(sK9) = sK14(power_set(sK20(sK14(power_set(X0)))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1849,f396]) ).
fof(f2068,plain,
( ! [X0] :
( range_of(sK9) = sK14(power_set(sK20(range_of(X0))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1849,f1332]) ).
fof(f1849,plain,
( ! [X0] :
( ~ empty(X0)
| range_of(sK9) = sK14(power_set(sK20(X0))) )
| ~ spl23_29 ),
inference(resolution,[],[f1638,f678]) ).
fof(f2064,plain,
( ! [X0] :
( range_of(sK9) = range_of(sK21(power_set(sK21(power_set(range_of(X0))))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1686,f1335]) ).
fof(f2063,plain,
( ! [X0] :
( range_of(sK9) = range_of(sK21(power_set(sK21(power_set(X0)))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1686,f1205]) ).
fof(f2062,plain,
( ! [X0] :
( range_of(sK9) = range_of(sK21(power_set(sK20(range_of(X0)))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1686,f1334]) ).
fof(f2061,plain,
( ! [X0] :
( range_of(sK9) = range_of(sK21(power_set(sK20(X0))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1686,f678]) ).
fof(f2060,plain,
( ! [X0] :
( range_of(sK9) = range_of(sK21(power_set(sK14(power_set(range_of(X0))))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1686,f1333]) ).
fof(f2058,plain,
( ! [X0] :
( range_of(sK9) = range_of(sK21(power_set(sK14(power_set(X0)))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1686,f396]) ).
fof(f2056,plain,
( ! [X0] :
( range_of(sK9) = range_of(sK21(power_set(range_of(X0))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1686,f1332]) ).
fof(f1686,plain,
( ! [X0] :
( ~ empty(X0)
| range_of(sK9) = range_of(sK21(power_set(X0))) )
| ~ spl23_29 ),
inference(resolution,[],[f1665,f1205]) ).
fof(f2050,plain,
( ! [X0] :
( range_of(sK9) = range_of(sK20(range_of(sK21(power_set(range_of(X0))))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1685,f1335]) ).
fof(f2049,plain,
( ! [X0] :
( range_of(sK9) = range_of(sK20(range_of(sK21(power_set(X0)))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1685,f1205]) ).
fof(f2048,plain,
( ! [X0] :
( range_of(sK9) = range_of(sK20(range_of(sK20(range_of(X0)))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1685,f1334]) ).
fof(f2047,plain,
( ! [X0] :
( range_of(sK9) = range_of(sK20(range_of(sK20(X0))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1685,f678]) ).
fof(f2046,plain,
( ! [X0] :
( range_of(sK9) = range_of(sK20(range_of(sK14(power_set(range_of(X0))))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1685,f1333]) ).
fof(f2044,plain,
( ! [X0] :
( range_of(sK9) = range_of(sK20(range_of(sK14(power_set(X0)))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1685,f396]) ).
fof(f2042,plain,
( ! [X0] :
( range_of(sK9) = range_of(sK20(range_of(range_of(X0))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1685,f1332]) ).
fof(f1685,plain,
( ! [X0] :
( ~ empty(X0)
| range_of(sK9) = range_of(sK20(range_of(X0))) )
| ~ spl23_29 ),
inference(resolution,[],[f1665,f1334]) ).
fof(f2038,plain,
( ! [X0] :
( range_of(sK9) = range_of(sK14(power_set(sK21(power_set(range_of(X0))))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1681,f1335]) ).
fof(f2037,plain,
( ! [X0] :
( range_of(sK9) = range_of(sK14(power_set(sK21(power_set(X0)))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1681,f1205]) ).
fof(f2036,plain,
( ! [X0] :
( range_of(sK9) = range_of(sK14(power_set(sK20(range_of(X0)))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1681,f1334]) ).
fof(f2035,plain,
( ! [X0] :
( range_of(sK9) = range_of(sK14(power_set(sK20(X0))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1681,f678]) ).
fof(f2034,plain,
( ! [X0] :
( range_of(sK9) = range_of(sK14(power_set(sK14(power_set(range_of(X0))))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1681,f1333]) ).
fof(f2032,plain,
( ! [X0] :
( range_of(sK9) = range_of(sK14(power_set(sK14(power_set(X0)))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1681,f396]) ).
fof(f2030,plain,
( ! [X0] :
( range_of(sK9) = range_of(sK14(power_set(range_of(X0))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1681,f1332]) ).
fof(f1681,plain,
( ! [X0] :
( ~ empty(X0)
| range_of(sK9) = range_of(sK14(power_set(X0))) )
| ~ spl23_29 ),
inference(resolution,[],[f1665,f396]) ).
fof(f2026,plain,
( ! [X0] :
( range_of(sK9) = sK21(power_set(range_of(sK21(power_set(range_of(X0))))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1678,f1335]) ).
fof(f2025,plain,
( ! [X0] :
( range_of(sK9) = sK21(power_set(range_of(sK21(power_set(X0)))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1678,f1205]) ).
fof(f2024,plain,
( ! [X0] :
( range_of(sK9) = sK21(power_set(range_of(sK20(range_of(X0)))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1678,f1334]) ).
fof(f2023,plain,
( ! [X0] :
( range_of(sK9) = sK21(power_set(range_of(sK20(X0))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1678,f678]) ).
fof(f2022,plain,
( ! [X0] :
( range_of(sK9) = sK21(power_set(range_of(sK14(power_set(range_of(X0))))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1678,f1333]) ).
fof(f2020,plain,
( ! [X0] :
( range_of(sK9) = sK21(power_set(range_of(sK14(power_set(X0)))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1678,f396]) ).
fof(f2018,plain,
( ! [X0] :
( range_of(sK9) = sK21(power_set(range_of(range_of(X0))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1678,f1332]) ).
fof(f1678,plain,
( ! [X0] :
( ~ empty(X0)
| range_of(sK9) = sK21(power_set(range_of(X0))) )
| ~ spl23_29 ),
inference(resolution,[],[f1637,f1335]) ).
fof(f2014,plain,
( ! [X0] :
( range_of(sK9) = sK14(power_set(range_of(sK21(power_set(range_of(X0))))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1674,f1335]) ).
fof(f2013,plain,
( ! [X0] :
( range_of(sK9) = sK14(power_set(range_of(sK21(power_set(X0)))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1674,f1205]) ).
fof(f2012,plain,
( ! [X0] :
( range_of(sK9) = sK14(power_set(range_of(sK20(range_of(X0)))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1674,f1334]) ).
fof(f2011,plain,
( ! [X0] :
( range_of(sK9) = sK14(power_set(range_of(sK20(X0))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1674,f678]) ).
fof(f2010,plain,
( ! [X0] :
( range_of(sK9) = sK14(power_set(range_of(sK14(power_set(range_of(X0))))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1674,f1333]) ).
fof(f2008,plain,
( ! [X0] :
( range_of(sK9) = sK14(power_set(range_of(sK14(power_set(X0)))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1674,f396]) ).
fof(f2006,plain,
( ! [X0] :
( range_of(sK9) = sK14(power_set(range_of(range_of(X0))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1674,f1332]) ).
fof(f1674,plain,
( ! [X0] :
( ~ empty(X0)
| range_of(sK9) = sK14(power_set(range_of(X0))) )
| ~ spl23_29 ),
inference(resolution,[],[f1637,f1333]) ).
fof(f2004,plain,
! [X2,X0,X1] :
( member(sK15(X0,sK18(power_set(X1),X2)),X1)
| member(power_set(X1),power_set(X2))
| member(sK15(X0,sK18(power_set(X1),X2)),X0)
| sK18(power_set(X1),X2) = X0 ),
inference(resolution,[],[f361,f258]) ).
fof(f2003,plain,
! [X2,X0,X1] :
( member(sK15(X0,sK18(power_set(X1),X2)),X1)
| member(power_set(X1),power_set(X2))
| sK18(power_set(X1),X2) = X0
| ~ empty(X0) ),
inference(resolution,[],[f361,f793]) ).
fof(f2002,plain,
! [X2,X0,X1] :
( member(sK16(X0,sK18(power_set(X1),X2)),X1)
| member(power_set(X1),power_set(X2))
| member(sK16(X0,sK18(power_set(X1),X2)),X0)
| sP3(X0,sK18(power_set(X1),X2)) ),
inference(resolution,[],[f361,f199]) ).
fof(f2001,plain,
! [X2,X0,X1] :
( member(sK16(X0,sK18(power_set(X1),X2)),X1)
| member(power_set(X1),power_set(X2))
| sP3(X0,sK18(power_set(X1),X2))
| ~ empty(X0) ),
inference(resolution,[],[f361,f618]) ).
fof(f2000,plain,
! [X2,X0,X1] :
( member(sK5(X0,sK18(power_set(X1),X2)),X1)
| member(power_set(X1),power_set(X2))
| sP0(X0,sK18(power_set(X1),X2)) ),
inference(resolution,[],[f361,f150]) ).
fof(f1999,plain,
! [X0,X1] :
( member(sK21(sK20(sK18(power_set(X0),X1))),X0)
| member(power_set(X0),power_set(X1))
| empty(sK20(sK18(power_set(X0),X1))) ),
inference(resolution,[],[f361,f581]) ).
fof(f1998,plain,
! [X0,X1] :
( member(sK21(sK14(power_set(sK18(power_set(X0),X1)))),X0)
| member(power_set(X0),power_set(X1))
| empty(sK14(power_set(sK18(power_set(X0),X1)))) ),
inference(resolution,[],[f361,f482]) ).
fof(f1997,plain,
! [X0,X1] :
( member(sK21(sK18(power_set(X0),X1)),X0)
| member(power_set(X0),power_set(X1))
| empty(sK18(power_set(X0),X1)) ),
inference(resolution,[],[f361,f476]) ).
fof(f1996,plain,
! [X2,X0,X1] :
( member(sK18(sK18(power_set(X0),X1),X2),X0)
| member(power_set(X0),power_set(X1))
| member(sK18(power_set(X0),X1),power_set(X2)) ),
inference(resolution,[],[f361,f279]) ).
fof(f1995,plain,
! [X2,X0,X1] :
( member(sK17(sK18(power_set(X0),X1),X2),X0)
| member(power_set(X0),power_set(X1))
| subset(sK18(power_set(X0),X1),X2) ),
inference(resolution,[],[f361,f270]) ).
fof(f1993,plain,
! [X2,X0,X1] :
( member(sK16(sK18(power_set(X0),X1),X2),X0)
| member(power_set(X0),power_set(X1))
| member(sK16(sK18(power_set(X0),X1),X2),X2)
| sP3(sK18(power_set(X0),X1),X2) ),
inference(resolution,[],[f361,f199]) ).
fof(f1992,plain,
! [X2,X0,X1] :
( member(sK16(sK18(power_set(X0),X1),X2),X0)
| member(power_set(X0),power_set(X1))
| sP3(sK18(power_set(X0),X1),X2)
| ~ empty(X2) ),
inference(resolution,[],[f361,f610]) ).
fof(f1991,plain,
! [X2,X0,X1] :
( member(sK15(sK18(power_set(X0),X1),X2),X0)
| member(power_set(X0),power_set(X1))
| member(sK15(sK18(power_set(X0),X1),X2),X2)
| sK18(power_set(X0),X1) = X2 ),
inference(resolution,[],[f361,f258]) ).
fof(f1990,plain,
! [X2,X0,X1] :
( member(sK15(sK18(power_set(X0),X1),X2),X0)
| member(power_set(X0),power_set(X1))
| sK18(power_set(X0),X1) = X2
| ~ empty(X2) ),
inference(resolution,[],[f361,f784]) ).
fof(f1989,plain,
! [X0,X1] :
( member(sK14(sK21(power_set(sK18(power_set(X0),X1)))),X0)
| member(power_set(X0),power_set(X1))
| empty(sK21(power_set(sK18(power_set(X0),X1)))) ),
inference(resolution,[],[f361,f493]) ).
fof(f1988,plain,
! [X0,X1] :
( member(sK14(sK20(sK18(power_set(X0),X1))),X0)
| member(power_set(X0),power_set(X1))
| empty(sK20(sK18(power_set(X0),X1))) ),
inference(resolution,[],[f361,f577]) ).
fof(f1987,plain,
! [X0,X1] :
( member(sK14(sK14(power_set(sK18(power_set(X0),X1)))),X0)
| member(power_set(X0),power_set(X1))
| empty(sK14(power_set(sK18(power_set(X0),X1)))) ),
inference(resolution,[],[f361,f365]) ).
fof(f1986,plain,
! [X0,X1] :
( member(sK14(sK18(power_set(X0),X1)),X0)
| member(power_set(X0),power_set(X1))
| empty(sK18(power_set(X0),X1)) ),
inference(resolution,[],[f361,f238]) ).
fof(f1985,plain,
! [X0,X1] :
( member(sK11(sK21(power_set(sK18(power_set(X0),X1)))),X0)
| member(power_set(X0),power_set(X1))
| sP1(sK21(power_set(sK18(power_set(X0),X1)))) ),
inference(resolution,[],[f361,f491]) ).
fof(f1984,plain,
! [X0,X1] :
( member(sK11(sK20(sK18(power_set(X0),X1))),X0)
| member(power_set(X0),power_set(X1))
| sP1(sK20(sK18(power_set(X0),X1))) ),
inference(resolution,[],[f361,f575]) ).
fof(f1983,plain,
! [X0,X1] :
( member(sK11(sK14(power_set(sK18(power_set(X0),X1)))),X0)
| member(power_set(X0),power_set(X1))
| sP1(sK14(power_set(sK18(power_set(X0),X1)))) ),
inference(resolution,[],[f361,f364]) ).
fof(f1982,plain,
! [X0,X1] :
( member(sK11(sK18(power_set(X0),X1)),X0)
| member(power_set(X0),power_set(X1))
| sP1(sK18(power_set(X0),X1)) ),
inference(resolution,[],[f361,f173]) ).
fof(f1981,plain,
! [X2,X0,X1] :
( member(ordered_pair(sK10(sK18(power_set(X0),X1),X2),X2),X0)
| member(power_set(X0),power_set(X1))
| ~ member(X2,range_of(sK18(power_set(X0),X1)))
| ~ ilf_type(sK18(power_set(X0),X1),binary_relation_type) ),
inference(resolution,[],[f361,f1262]) ).
fof(f361,plain,
! [X2,X0,X1] :
( ~ member(X0,sK18(power_set(X1),X2))
| member(X0,X1)
| member(power_set(X1),power_set(X2)) ),
inference(resolution,[],[f284,f279]) ).
fof(f1980,plain,
( ! [X0,X1] :
( ilf_type(domain_of(range_of(sK9)),subset_type(X0))
| ~ ilf_type(range_of(sK9),relation_type(X0,X1)) )
| ~ spl23_29 ),
inference(superposition,[],[f306,f1641]) ).
fof(f1641,plain,
( ! [X0,X1] : domain_of(range_of(sK9)) = domain(X0,X1,range_of(sK9))
| ~ spl23_29 ),
inference(resolution,[],[f1630,f468]) ).
fof(f1979,plain,
( ! [X0,X1] :
( ilf_type(range_of(sK9),subset_type(X1))
| ~ ilf_type(range_of(sK9),relation_type(X0,X1)) )
| ~ spl23_29 ),
inference(superposition,[],[f308,f1978]) ).
fof(f1978,plain,
( ! [X0,X1] : range_of(sK9) = range(X0,X1,range_of(sK9))
| ~ spl23_29 ),
inference(forward_demodulation,[],[f1640,f1680]) ).
fof(f1973,plain,
( ! [X0] :
( range_of(sK9) = sK20(sK20(sK21(power_set(range_of(X0)))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1779,f1335]) ).
fof(f1972,plain,
( ! [X0] :
( range_of(sK9) = sK20(sK20(sK21(power_set(X0))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1779,f1205]) ).
fof(f1971,plain,
( ! [X0] :
( range_of(sK9) = sK20(sK20(sK20(range_of(X0))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1779,f1334]) ).
fof(f1970,plain,
( ! [X0] :
( range_of(sK9) = sK20(sK20(sK20(X0)))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1779,f678]) ).
fof(f1969,plain,
( ! [X0] :
( range_of(sK9) = sK20(sK20(sK14(power_set(range_of(X0)))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1779,f1333]) ).
fof(f1967,plain,
( ! [X0] :
( range_of(sK9) = sK20(sK20(sK14(power_set(X0))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1779,f396]) ).
fof(f1965,plain,
( ! [X0] :
( range_of(sK9) = sK20(sK20(range_of(X0)))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1779,f1332]) ).
fof(f1779,plain,
( ! [X0] :
( ~ empty(X0)
| range_of(sK9) = sK20(sK20(X0)) )
| ~ spl23_29 ),
inference(resolution,[],[f1675,f678]) ).
fof(f1905,plain,
! [X0,X1] :
( ~ ilf_type(X0,binary_relation_type)
| ~ member(X1,range_of(X0))
| ~ empty(domain_of(X0)) ),
inference(resolution,[],[f1324,f330]) ).
fof(f1904,plain,
! [X0,X1] :
( ~ ilf_type(X0,binary_relation_type)
| ~ member(X1,range_of(X0))
| sK10(X0,X1) = ordered_pair(sK12(sK10(X0,X1)),sK13(sK10(X0,X1)))
| ~ sP1(domain_of(X0)) ),
inference(resolution,[],[f1324,f1003]) ).
fof(f1903,plain,
! [X2,X0,X1] :
( ~ ilf_type(sK19(X0,X1),binary_relation_type)
| ~ member(X2,range_of(sK19(X0,X1)))
| member(sK10(sK19(X0,X1),X2),X1) ),
inference(resolution,[],[f1324,f514]) ).
fof(f1902,plain,
! [X0] :
( ~ ilf_type(sK9,binary_relation_type)
| ~ member(X0,range_of(sK9))
| member(sK10(sK9,X0),sK7) ),
inference(resolution,[],[f1324,f518]) ).
fof(f1324,plain,
! [X0,X1] :
( member(sK10(X1,X0),domain_of(X1))
| ~ ilf_type(X1,binary_relation_type)
| ~ member(X0,range_of(X1)) ),
inference(duplicate_literal_removal,[],[f1312]) ).
fof(f1312,plain,
! [X0,X1] :
( ~ member(X0,range_of(X1))
| ~ ilf_type(X1,binary_relation_type)
| member(sK10(X1,X0),domain_of(X1))
| ~ ilf_type(X1,binary_relation_type) ),
inference(resolution,[],[f1262,f292]) ).
fof(f1897,plain,
( ! [X0] :
( range_of(sK9) = range_of(sK20(sK21(power_set(range_of(X0)))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1684,f1335]) ).
fof(f1896,plain,
( ! [X0] :
( range_of(sK9) = range_of(sK20(sK21(power_set(X0))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1684,f1205]) ).
fof(f1895,plain,
( ! [X0] :
( range_of(sK9) = range_of(sK20(sK20(range_of(X0))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1684,f1334]) ).
fof(f1894,plain,
( ! [X0] :
( range_of(sK9) = range_of(sK20(sK20(X0)))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1684,f678]) ).
fof(f1893,plain,
( ! [X0] :
( range_of(sK9) = range_of(sK20(sK14(power_set(range_of(X0)))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1684,f1333]) ).
fof(f1891,plain,
( ! [X0] :
( range_of(sK9) = range_of(sK20(sK14(power_set(X0))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1684,f396]) ).
fof(f1889,plain,
( ! [X0] :
( range_of(sK9) = range_of(sK20(range_of(X0)))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1684,f1332]) ).
fof(f1684,plain,
( ! [X0] :
( ~ empty(X0)
| range_of(sK9) = range_of(sK20(X0)) )
| ~ spl23_29 ),
inference(resolution,[],[f1665,f678]) ).
fof(f1884,plain,
( ! [X0] :
( range_of(sK9) = range_of(range_of(sK21(power_set(range_of(X0)))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1679,f1335]) ).
fof(f1883,plain,
( ! [X0] :
( range_of(sK9) = range_of(range_of(sK21(power_set(X0))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1679,f1205]) ).
fof(f1882,plain,
( ! [X0] :
( range_of(sK9) = range_of(range_of(sK20(range_of(X0))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1679,f1334]) ).
fof(f1881,plain,
( ! [X0] :
( range_of(sK9) = range_of(range_of(sK20(X0)))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1679,f678]) ).
fof(f1880,plain,
( ! [X0] :
( range_of(sK9) = range_of(range_of(sK14(power_set(range_of(X0)))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1679,f1333]) ).
fof(f1878,plain,
( ! [X0] :
( range_of(sK9) = range_of(range_of(sK14(power_set(X0))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1679,f396]) ).
fof(f1876,plain,
( ! [X0] :
( range_of(sK9) = range_of(range_of(range_of(X0)))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1679,f1332]) ).
fof(f1679,plain,
( ! [X0] :
( ~ empty(X0)
| range_of(sK9) = range_of(range_of(X0)) )
| ~ spl23_29 ),
inference(resolution,[],[f1665,f1332]) ).
fof(f1872,plain,
( ! [X0] :
( range_of(sK9) = sK20(range_of(sK21(power_set(range_of(X0)))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1676,f1335]) ).
fof(f1871,plain,
( ! [X0] :
( range_of(sK9) = sK20(range_of(sK21(power_set(X0))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1676,f1205]) ).
fof(f1870,plain,
( ! [X0] :
( range_of(sK9) = sK20(range_of(sK20(range_of(X0))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1676,f1334]) ).
fof(f1869,plain,
( ! [X0] :
( range_of(sK9) = sK20(range_of(sK20(X0)))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1676,f678]) ).
fof(f1868,plain,
( ! [X0] :
( range_of(sK9) = sK20(range_of(sK14(power_set(range_of(X0)))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1676,f1333]) ).
fof(f1866,plain,
( ! [X0] :
( range_of(sK9) = sK20(range_of(sK14(power_set(X0))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1676,f396]) ).
fof(f1864,plain,
( ! [X0] :
( range_of(sK9) = sK20(range_of(range_of(X0)))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1676,f1332]) ).
fof(f1676,plain,
( ! [X0] :
( ~ empty(X0)
| range_of(sK9) = sK20(range_of(X0)) )
| ~ spl23_29 ),
inference(resolution,[],[f1637,f1334]) ).
fof(f1862,plain,
( ! [X0] :
( range_of(sK9) = sK21(power_set(sK21(power_set(range_of(X0)))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1656,f1335]) ).
fof(f1861,plain,
( ! [X0] :
( range_of(sK9) = sK21(power_set(sK21(power_set(X0))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1656,f1205]) ).
fof(f1860,plain,
( ! [X0] :
( range_of(sK9) = sK21(power_set(sK20(range_of(X0))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1656,f1334]) ).
fof(f1859,plain,
( ! [X0] :
( range_of(sK9) = sK21(power_set(sK20(X0)))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1656,f678]) ).
fof(f1858,plain,
( ! [X0] :
( range_of(sK9) = sK21(power_set(sK14(power_set(range_of(X0)))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1656,f1333]) ).
fof(f1856,plain,
( ! [X0] :
( range_of(sK9) = sK21(power_set(sK14(power_set(X0))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1656,f396]) ).
fof(f1854,plain,
( ! [X0] :
( range_of(sK9) = sK21(power_set(range_of(X0)))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1656,f1332]) ).
fof(f1656,plain,
( ! [X0] :
( ~ empty(X0)
| sK21(power_set(X0)) = range_of(sK9) )
| ~ spl23_29 ),
inference(resolution,[],[f1630,f1216]) ).
fof(f1852,plain,
( ! [X0] :
( range_of(sK9) = sK14(power_set(sK21(power_set(range_of(X0)))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1638,f1335]) ).
fof(f1851,plain,
( ! [X0] :
( range_of(sK9) = sK14(power_set(sK21(power_set(X0))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1638,f1205]) ).
fof(f1850,plain,
( ! [X0] :
( range_of(sK9) = sK14(power_set(sK20(range_of(X0))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1638,f1334]) ).
fof(f1848,plain,
( ! [X0] :
( range_of(sK9) = sK14(power_set(sK14(power_set(range_of(X0)))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1638,f1333]) ).
fof(f1846,plain,
( ! [X0] :
( sK14(power_set(sK14(power_set(X0)))) = range_of(sK9)
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1638,f396]) ).
fof(f1844,plain,
( ! [X0] :
( range_of(sK9) = sK14(power_set(range_of(X0)))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1638,f1332]) ).
fof(f1638,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(X0)) = range_of(sK9) )
| ~ spl23_29 ),
inference(resolution,[],[f1630,f399]) ).
fof(f1843,plain,
! [X2,X0,X1] :
( member(sK15(X0,sK5(X1,power_set(X2))),X2)
| sP0(X1,power_set(X2))
| member(sK15(X0,sK5(X1,power_set(X2))),X0)
| sK5(X1,power_set(X2)) = X0 ),
inference(resolution,[],[f362,f258]) ).
fof(f1842,plain,
! [X2,X0,X1] :
( member(sK15(X0,sK5(X1,power_set(X2))),X2)
| sP0(X1,power_set(X2))
| sK5(X1,power_set(X2)) = X0
| ~ empty(X0) ),
inference(resolution,[],[f362,f793]) ).
fof(f1841,plain,
! [X2,X0,X1] :
( member(sK16(X0,sK5(X1,power_set(X2))),X2)
| sP0(X1,power_set(X2))
| member(sK16(X0,sK5(X1,power_set(X2))),X0)
| sP3(X0,sK5(X1,power_set(X2))) ),
inference(resolution,[],[f362,f199]) ).
fof(f1840,plain,
! [X2,X0,X1] :
( member(sK16(X0,sK5(X1,power_set(X2))),X2)
| sP0(X1,power_set(X2))
| sP3(X0,sK5(X1,power_set(X2)))
| ~ empty(X0) ),
inference(resolution,[],[f362,f618]) ).
fof(f1839,plain,
! [X2,X0,X1] :
( member(sK5(X0,sK5(X1,power_set(X2))),X2)
| sP0(X1,power_set(X2))
| sP0(X0,sK5(X1,power_set(X2))) ),
inference(resolution,[],[f362,f150]) ).
fof(f1838,plain,
! [X0,X1] :
( member(sK21(sK20(sK5(X0,power_set(X1)))),X1)
| sP0(X0,power_set(X1))
| empty(sK20(sK5(X0,power_set(X1)))) ),
inference(resolution,[],[f362,f581]) ).
fof(f1837,plain,
! [X0,X1] :
( member(sK21(sK14(power_set(sK5(X0,power_set(X1))))),X1)
| sP0(X0,power_set(X1))
| empty(sK14(power_set(sK5(X0,power_set(X1))))) ),
inference(resolution,[],[f362,f482]) ).
fof(f1836,plain,
! [X0,X1] :
( member(sK21(sK5(X0,power_set(X1))),X1)
| sP0(X0,power_set(X1))
| empty(sK5(X0,power_set(X1))) ),
inference(resolution,[],[f362,f476]) ).
fof(f1835,plain,
! [X2,X0,X1] :
( member(sK18(sK5(X0,power_set(X1)),X2),X1)
| sP0(X0,power_set(X1))
| member(sK5(X0,power_set(X1)),power_set(X2)) ),
inference(resolution,[],[f362,f279]) ).
fof(f1834,plain,
! [X2,X0,X1] :
( member(sK17(sK5(X0,power_set(X1)),X2),X1)
| sP0(X0,power_set(X1))
| subset(sK5(X0,power_set(X1)),X2) ),
inference(resolution,[],[f362,f270]) ).
fof(f1832,plain,
! [X2,X0,X1] :
( member(sK16(sK5(X0,power_set(X1)),X2),X1)
| sP0(X0,power_set(X1))
| member(sK16(sK5(X0,power_set(X1)),X2),X2)
| sP3(sK5(X0,power_set(X1)),X2) ),
inference(resolution,[],[f362,f199]) ).
fof(f1831,plain,
! [X2,X0,X1] :
( member(sK16(sK5(X0,power_set(X1)),X2),X1)
| sP0(X0,power_set(X1))
| sP3(sK5(X0,power_set(X1)),X2)
| ~ empty(X2) ),
inference(resolution,[],[f362,f610]) ).
fof(f1830,plain,
! [X2,X0,X1] :
( member(sK15(sK5(X0,power_set(X1)),X2),X1)
| sP0(X0,power_set(X1))
| member(sK15(sK5(X0,power_set(X1)),X2),X2)
| sK5(X0,power_set(X1)) = X2 ),
inference(resolution,[],[f362,f258]) ).
fof(f1829,plain,
! [X2,X0,X1] :
( member(sK15(sK5(X0,power_set(X1)),X2),X1)
| sP0(X0,power_set(X1))
| sK5(X0,power_set(X1)) = X2
| ~ empty(X2) ),
inference(resolution,[],[f362,f784]) ).
fof(f1828,plain,
! [X0,X1] :
( member(sK14(sK21(power_set(sK5(X0,power_set(X1))))),X1)
| sP0(X0,power_set(X1))
| empty(sK21(power_set(sK5(X0,power_set(X1))))) ),
inference(resolution,[],[f362,f493]) ).
fof(f1827,plain,
! [X0,X1] :
( member(sK14(sK20(sK5(X0,power_set(X1)))),X1)
| sP0(X0,power_set(X1))
| empty(sK20(sK5(X0,power_set(X1)))) ),
inference(resolution,[],[f362,f577]) ).
fof(f1826,plain,
! [X0,X1] :
( member(sK14(sK14(power_set(sK5(X0,power_set(X1))))),X1)
| sP0(X0,power_set(X1))
| empty(sK14(power_set(sK5(X0,power_set(X1))))) ),
inference(resolution,[],[f362,f365]) ).
fof(f1825,plain,
! [X0,X1] :
( member(sK14(sK5(X0,power_set(X1))),X1)
| sP0(X0,power_set(X1))
| empty(sK5(X0,power_set(X1))) ),
inference(resolution,[],[f362,f238]) ).
fof(f1824,plain,
! [X0,X1] :
( member(sK11(sK21(power_set(sK5(X0,power_set(X1))))),X1)
| sP0(X0,power_set(X1))
| sP1(sK21(power_set(sK5(X0,power_set(X1))))) ),
inference(resolution,[],[f362,f491]) ).
fof(f1823,plain,
! [X0,X1] :
( member(sK11(sK20(sK5(X0,power_set(X1)))),X1)
| sP0(X0,power_set(X1))
| sP1(sK20(sK5(X0,power_set(X1)))) ),
inference(resolution,[],[f362,f575]) ).
fof(f1822,plain,
! [X0,X1] :
( member(sK11(sK14(power_set(sK5(X0,power_set(X1))))),X1)
| sP0(X0,power_set(X1))
| sP1(sK14(power_set(sK5(X0,power_set(X1))))) ),
inference(resolution,[],[f362,f364]) ).
fof(f1821,plain,
! [X0,X1] :
( member(sK11(sK5(X0,power_set(X1))),X1)
| sP0(X0,power_set(X1))
| sP1(sK5(X0,power_set(X1))) ),
inference(resolution,[],[f362,f173]) ).
fof(f1820,plain,
! [X2,X0,X1] :
( member(ordered_pair(sK10(sK5(X0,power_set(X1)),X2),X2),X1)
| sP0(X0,power_set(X1))
| ~ member(X2,range_of(sK5(X0,power_set(X1))))
| ~ ilf_type(sK5(X0,power_set(X1)),binary_relation_type) ),
inference(resolution,[],[f362,f1262]) ).
fof(f362,plain,
! [X2,X0,X1] :
( ~ member(X0,sK5(X1,power_set(X2)))
| member(X0,X2)
| sP0(X1,power_set(X2)) ),
inference(resolution,[],[f284,f150]) ).
fof(f1782,plain,
( ! [X0] :
( range_of(sK9) = sK20(sK21(power_set(range_of(X0))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1675,f1335]) ).
fof(f1781,plain,
( ! [X0] :
( range_of(sK9) = sK20(sK21(power_set(X0)))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1675,f1205]) ).
fof(f1780,plain,
( ! [X0] :
( range_of(sK9) = sK20(sK20(range_of(X0)))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1675,f1334]) ).
fof(f1778,plain,
( ! [X0] :
( range_of(sK9) = sK20(sK14(power_set(range_of(X0))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1675,f1333]) ).
fof(f1776,plain,
( ! [X0] :
( range_of(sK9) = sK20(sK14(power_set(X0)))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1675,f396]) ).
fof(f1774,plain,
( ! [X0] :
( range_of(sK9) = sK20(range_of(X0))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1675,f1332]) ).
fof(f1675,plain,
( ! [X0] :
( ~ empty(X0)
| sK20(X0) = range_of(sK9) )
| ~ spl23_29 ),
inference(resolution,[],[f1637,f678]) ).
fof(f1752,plain,
! [X2,X0,X1] :
( member(sK15(X0,sK17(power_set(X1),X2)),X1)
| subset(power_set(X1),X2)
| member(sK15(X0,sK17(power_set(X1),X2)),X0)
| sK17(power_set(X1),X2) = X0 ),
inference(resolution,[],[f360,f258]) ).
fof(f1751,plain,
! [X2,X0,X1] :
( member(sK15(X0,sK17(power_set(X1),X2)),X1)
| subset(power_set(X1),X2)
| sK17(power_set(X1),X2) = X0
| ~ empty(X0) ),
inference(resolution,[],[f360,f793]) ).
fof(f1750,plain,
! [X2,X0,X1] :
( member(sK16(X0,sK17(power_set(X1),X2)),X1)
| subset(power_set(X1),X2)
| member(sK16(X0,sK17(power_set(X1),X2)),X0)
| sP3(X0,sK17(power_set(X1),X2)) ),
inference(resolution,[],[f360,f199]) ).
fof(f1749,plain,
! [X2,X0,X1] :
( member(sK16(X0,sK17(power_set(X1),X2)),X1)
| subset(power_set(X1),X2)
| sP3(X0,sK17(power_set(X1),X2))
| ~ empty(X0) ),
inference(resolution,[],[f360,f618]) ).
fof(f1748,plain,
! [X2,X0,X1] :
( member(sK5(X0,sK17(power_set(X1),X2)),X1)
| subset(power_set(X1),X2)
| sP0(X0,sK17(power_set(X1),X2)) ),
inference(resolution,[],[f360,f150]) ).
fof(f1747,plain,
! [X0,X1] :
( member(sK21(sK20(sK17(power_set(X0),X1))),X0)
| subset(power_set(X0),X1)
| empty(sK20(sK17(power_set(X0),X1))) ),
inference(resolution,[],[f360,f581]) ).
fof(f1746,plain,
! [X0,X1] :
( member(sK21(sK14(power_set(sK17(power_set(X0),X1)))),X0)
| subset(power_set(X0),X1)
| empty(sK14(power_set(sK17(power_set(X0),X1)))) ),
inference(resolution,[],[f360,f482]) ).
fof(f1745,plain,
! [X0,X1] :
( member(sK21(sK17(power_set(X0),X1)),X0)
| subset(power_set(X0),X1)
| empty(sK17(power_set(X0),X1)) ),
inference(resolution,[],[f360,f476]) ).
fof(f1744,plain,
! [X2,X0,X1] :
( member(sK18(sK17(power_set(X0),X1),X2),X0)
| subset(power_set(X0),X1)
| member(sK17(power_set(X0),X1),power_set(X2)) ),
inference(resolution,[],[f360,f279]) ).
fof(f1743,plain,
! [X2,X0,X1] :
( member(sK17(sK17(power_set(X0),X1),X2),X0)
| subset(power_set(X0),X1)
| subset(sK17(power_set(X0),X1),X2) ),
inference(resolution,[],[f360,f270]) ).
fof(f1741,plain,
! [X2,X0,X1] :
( member(sK16(sK17(power_set(X0),X1),X2),X0)
| subset(power_set(X0),X1)
| member(sK16(sK17(power_set(X0),X1),X2),X2)
| sP3(sK17(power_set(X0),X1),X2) ),
inference(resolution,[],[f360,f199]) ).
fof(f1740,plain,
! [X2,X0,X1] :
( member(sK16(sK17(power_set(X0),X1),X2),X0)
| subset(power_set(X0),X1)
| sP3(sK17(power_set(X0),X1),X2)
| ~ empty(X2) ),
inference(resolution,[],[f360,f610]) ).
fof(f1739,plain,
! [X2,X0,X1] :
( member(sK15(sK17(power_set(X0),X1),X2),X0)
| subset(power_set(X0),X1)
| member(sK15(sK17(power_set(X0),X1),X2),X2)
| sK17(power_set(X0),X1) = X2 ),
inference(resolution,[],[f360,f258]) ).
fof(f1738,plain,
! [X2,X0,X1] :
( member(sK15(sK17(power_set(X0),X1),X2),X0)
| subset(power_set(X0),X1)
| sK17(power_set(X0),X1) = X2
| ~ empty(X2) ),
inference(resolution,[],[f360,f784]) ).
fof(f1737,plain,
! [X0,X1] :
( member(sK14(sK21(power_set(sK17(power_set(X0),X1)))),X0)
| subset(power_set(X0),X1)
| empty(sK21(power_set(sK17(power_set(X0),X1)))) ),
inference(resolution,[],[f360,f493]) ).
fof(f1736,plain,
! [X0,X1] :
( member(sK14(sK20(sK17(power_set(X0),X1))),X0)
| subset(power_set(X0),X1)
| empty(sK20(sK17(power_set(X0),X1))) ),
inference(resolution,[],[f360,f577]) ).
fof(f1735,plain,
! [X0,X1] :
( member(sK14(sK14(power_set(sK17(power_set(X0),X1)))),X0)
| subset(power_set(X0),X1)
| empty(sK14(power_set(sK17(power_set(X0),X1)))) ),
inference(resolution,[],[f360,f365]) ).
fof(f1734,plain,
! [X0,X1] :
( member(sK14(sK17(power_set(X0),X1)),X0)
| subset(power_set(X0),X1)
| empty(sK17(power_set(X0),X1)) ),
inference(resolution,[],[f360,f238]) ).
fof(f1733,plain,
! [X0,X1] :
( member(sK11(sK21(power_set(sK17(power_set(X0),X1)))),X0)
| subset(power_set(X0),X1)
| sP1(sK21(power_set(sK17(power_set(X0),X1)))) ),
inference(resolution,[],[f360,f491]) ).
fof(f1732,plain,
! [X0,X1] :
( member(sK11(sK20(sK17(power_set(X0),X1))),X0)
| subset(power_set(X0),X1)
| sP1(sK20(sK17(power_set(X0),X1))) ),
inference(resolution,[],[f360,f575]) ).
fof(f1731,plain,
! [X0,X1] :
( member(sK11(sK14(power_set(sK17(power_set(X0),X1)))),X0)
| subset(power_set(X0),X1)
| sP1(sK14(power_set(sK17(power_set(X0),X1)))) ),
inference(resolution,[],[f360,f364]) ).
fof(f1730,plain,
! [X0,X1] :
( member(sK11(sK17(power_set(X0),X1)),X0)
| subset(power_set(X0),X1)
| sP1(sK17(power_set(X0),X1)) ),
inference(resolution,[],[f360,f173]) ).
fof(f1729,plain,
! [X2,X0,X1] :
( member(ordered_pair(sK10(sK17(power_set(X0),X1),X2),X2),X0)
| subset(power_set(X0),X1)
| ~ member(X2,range_of(sK17(power_set(X0),X1)))
| ~ ilf_type(sK17(power_set(X0),X1),binary_relation_type) ),
inference(resolution,[],[f360,f1262]) ).
fof(f360,plain,
! [X2,X0,X1] :
( ~ member(X0,sK17(power_set(X1),X2))
| member(X0,X1)
| subset(power_set(X1),X2) ),
inference(resolution,[],[f284,f270]) ).
fof(f1688,plain,
( ! [X0] :
( ~ member(sK5(range_of(sK9),X0),range_of(sK9))
| ~ ilf_type(range_of(sK9),binary_relation_type)
| sP0(range_of(sK9),X0) )
| ~ spl23_29 ),
inference(superposition,[],[f1309,f1680]) ).
fof(f1680,plain,
( range_of(sK9) = range_of(range_of(sK9))
| ~ spl23_29 ),
inference(resolution,[],[f1665,f1630]) ).
fof(f1687,plain,
( ! [X0] :
( range_of(sK9) = range_of(sK21(power_set(range_of(X0))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1665,f1335]) ).
fof(f1683,plain,
( ! [X0] :
( range_of(sK9) = range_of(sK14(power_set(range_of(X0))))
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1665,f1333]) ).
fof(f1665,plain,
( ! [X0] :
( ~ empty(X0)
| range_of(X0) = range_of(sK9) )
| ~ spl23_29 ),
inference(resolution,[],[f1630,f1336]) ).
fof(f1677,plain,
( ! [X0] :
( sK21(power_set(X0)) = range_of(sK9)
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1637,f1205]) ).
fof(f1672,plain,
( ! [X0] :
( sK14(power_set(X0)) = range_of(sK9)
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1637,f396]) ).
fof(f1670,plain,
( ! [X0] :
( range_of(X0) = range_of(sK9)
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1637,f1332]) ).
fof(f1637,plain,
( ! [X0] :
( ~ empty(X0)
| range_of(sK9) = X0 )
| ~ spl23_29 ),
inference(resolution,[],[f1630,f343]) ).
fof(f1643,plain,
( ! [X0] :
( ~ empty(X0)
| sK20(X0) = sK20(range_of(sK9)) )
| ~ spl23_29 ),
inference(resolution,[],[f1630,f766]) ).
fof(f1642,plain,
( ! [X0] :
( sK20(X0) = range_of(sK9)
| ~ empty(X0) )
| ~ spl23_29 ),
inference(resolution,[],[f1630,f687]) ).
fof(f1640,plain,
( ! [X0,X1] : range_of(range_of(sK9)) = range(X0,X1,range_of(sK9))
| ~ spl23_29 ),
inference(resolution,[],[f1630,f467]) ).
fof(f1639,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(X0)) = sK14(power_set(range_of(sK9))) )
| ~ spl23_29 ),
inference(resolution,[],[f1630,f401]) ).
fof(f1630,plain,
( empty(range_of(sK9))
| ~ spl23_29 ),
inference(avatar_component_clause,[],[f1628]) ).
fof(f1628,plain,
( spl23_29
<=> empty(range_of(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_29])]) ).
fof(f1591,plain,
( member(sK14(range_of(sK9)),sK8)
| empty(range_of(sK9)) ),
inference(resolution,[],[f1585,f238]) ).
fof(f1587,plain,
( member(sK11(range_of(sK9)),sK8)
| sP1(range_of(sK9)) ),
inference(resolution,[],[f1585,f173]) ).
fof(f1609,plain,
! [X0] :
( member(sK15(X0,range_of(sK9)),sK8)
| member(sK15(X0,range_of(sK9)),X0)
| range_of(sK9) = X0 ),
inference(resolution,[],[f1585,f258]) ).
fof(f1608,plain,
! [X0] :
( member(sK15(X0,range_of(sK9)),sK8)
| range_of(sK9) = X0
| ~ empty(X0) ),
inference(resolution,[],[f1585,f793]) ).
fof(f1607,plain,
! [X0] :
( member(sK16(X0,range_of(sK9)),sK8)
| member(sK16(X0,range_of(sK9)),X0)
| sP3(X0,range_of(sK9)) ),
inference(resolution,[],[f1585,f199]) ).
fof(f1606,plain,
! [X0] :
( member(sK16(X0,range_of(sK9)),sK8)
| sP3(X0,range_of(sK9))
| ~ empty(X0) ),
inference(resolution,[],[f1585,f618]) ).
fof(f1605,plain,
! [X0] :
( member(sK5(X0,range_of(sK9)),sK8)
| sP0(X0,range_of(sK9)) ),
inference(resolution,[],[f1585,f150]) ).
fof(f1604,plain,
( member(sK21(sK20(range_of(sK9))),sK8)
| empty(sK20(range_of(sK9))) ),
inference(resolution,[],[f1585,f581]) ).
fof(f1603,plain,
( member(sK21(sK14(power_set(range_of(sK9)))),sK8)
| empty(sK14(power_set(range_of(sK9)))) ),
inference(resolution,[],[f1585,f482]) ).
fof(f1602,plain,
( member(sK21(range_of(sK9)),sK8)
| empty(range_of(sK9)) ),
inference(resolution,[],[f1585,f476]) ).
fof(f1601,plain,
! [X0] :
( member(sK18(range_of(sK9),X0),sK8)
| member(range_of(sK9),power_set(X0)) ),
inference(resolution,[],[f1585,f279]) ).
fof(f1598,plain,
! [X0] :
( member(sK16(range_of(sK9),X0),sK8)
| member(sK16(range_of(sK9),X0),X0)
| sP3(range_of(sK9),X0) ),
inference(resolution,[],[f1585,f199]) ).
fof(f1597,plain,
! [X0] :
( member(sK16(range_of(sK9),X0),sK8)
| sP3(range_of(sK9),X0)
| ~ empty(X0) ),
inference(resolution,[],[f1585,f610]) ).
fof(f1596,plain,
! [X0] :
( member(sK15(range_of(sK9),X0),sK8)
| member(sK15(range_of(sK9),X0),X0)
| range_of(sK9) = X0 ),
inference(resolution,[],[f1585,f258]) ).
fof(f1595,plain,
! [X0] :
( member(sK15(range_of(sK9),X0),sK8)
| range_of(sK9) = X0
| ~ empty(X0) ),
inference(resolution,[],[f1585,f784]) ).
fof(f1594,plain,
( member(sK14(sK21(power_set(range_of(sK9)))),sK8)
| empty(sK21(power_set(range_of(sK9)))) ),
inference(resolution,[],[f1585,f493]) ).
fof(f1593,plain,
( member(sK14(sK20(range_of(sK9))),sK8)
| empty(sK20(range_of(sK9))) ),
inference(resolution,[],[f1585,f577]) ).
fof(f1592,plain,
( member(sK14(sK14(power_set(range_of(sK9)))),sK8)
| empty(sK14(power_set(range_of(sK9)))) ),
inference(resolution,[],[f1585,f365]) ).
fof(f1590,plain,
( member(sK11(sK21(power_set(range_of(sK9)))),sK8)
| sP1(sK21(power_set(range_of(sK9)))) ),
inference(resolution,[],[f1585,f491]) ).
fof(f1589,plain,
( member(sK11(sK20(range_of(sK9))),sK8)
| sP1(sK20(range_of(sK9))) ),
inference(resolution,[],[f1585,f575]) ).
fof(f1588,plain,
( member(sK11(sK14(power_set(range_of(sK9)))),sK8)
| sP1(sK14(power_set(range_of(sK9)))) ),
inference(resolution,[],[f1585,f364]) ).
fof(f1586,plain,
! [X0] :
( member(ordered_pair(sK10(range_of(sK9),X0),X0),sK8)
| ~ member(X0,range_of(range_of(sK9)))
| ~ ilf_type(range_of(sK9),binary_relation_type) ),
inference(resolution,[],[f1585,f1262]) ).
fof(f1569,plain,
! [X0,X1] :
( ~ ilf_type(X0,binary_relation_type)
| ~ member(X1,range_of(X0))
| member(ordered_pair(sK6(X0,X1),X1),X0) ),
inference(resolution,[],[f1568,f1133]) ).
fof(f1568,plain,
! [X0] :
( sP0(X0,range_of(X0))
| ~ ilf_type(X0,binary_relation_type) ),
inference(duplicate_literal_removal,[],[f1565]) ).
fof(f1565,plain,
! [X0] :
( ~ ilf_type(X0,binary_relation_type)
| sP0(X0,range_of(X0))
| sP0(X0,range_of(X0)) ),
inference(resolution,[],[f1309,f150]) ).
fof(f1309,plain,
! [X0,X1] :
( ~ member(sK5(X0,X1),range_of(X0))
| ~ ilf_type(X0,binary_relation_type)
| sP0(X0,X1) ),
inference(resolution,[],[f1262,f539]) ).
fof(f1564,plain,
! [X0,X1] :
( range_of(X0) = sK21(power_set(range_of(X1)))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1336,f1335]) ).
fof(f1563,plain,
! [X0,X1] :
( range_of(X0) = sK21(power_set(X1))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1336,f1205]) ).
fof(f1562,plain,
! [X0,X1] :
( range_of(X0) = sK20(range_of(X1))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1336,f1334]) ).
fof(f1561,plain,
! [X0,X1] :
( range_of(X0) = sK20(X1)
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1336,f678]) ).
fof(f1560,plain,
! [X0,X1] :
( range_of(X0) = sK14(power_set(range_of(X1)))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1336,f1333]) ).
fof(f1558,plain,
! [X0,X1] :
( range_of(X0) = sK14(power_set(X1))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1336,f396]) ).
fof(f1557,plain,
! [X0,X1] :
( range_of(X0) = range_of(X1)
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1336,f1332]) ).
fof(f1336,plain,
! [X0,X1] :
( ~ empty(X1)
| range_of(X0) = X1
| ~ empty(X0) ),
inference(resolution,[],[f1326,f784]) ).
fof(f1480,plain,
! [X0] :
( relation_like(sK21(power_set(range_of(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f1331,f319]) ).
fof(f1443,plain,
! [X0] :
( relation_like(sK14(power_set(range_of(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f1329,f319]) ).
fof(f1502,plain,
! [X0,X1] :
( ~ empty(X0)
| sK21(power_set(X1)) = sK21(power_set(range_of(X0)))
| ~ empty(X1) ),
inference(resolution,[],[f1335,f1216]) ).
fof(f1489,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ empty(X1)
| sK20(X1) = sK20(sK21(power_set(range_of(X0)))) ),
inference(resolution,[],[f1335,f766]) ).
fof(f1488,plain,
! [X0,X1] :
( ~ empty(X0)
| sK20(X1) = sK21(power_set(range_of(X0)))
| ~ empty(X1) ),
inference(resolution,[],[f1335,f687]) ).
fof(f1487,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| domain_of(sK21(power_set(range_of(X0)))) = domain(X1,X2,sK21(power_set(range_of(X0)))) ),
inference(resolution,[],[f1335,f468]) ).
fof(f1486,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| range_of(sK21(power_set(range_of(X0)))) = range(X1,X2,sK21(power_set(range_of(X0)))) ),
inference(resolution,[],[f1335,f467]) ).
fof(f1485,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ empty(X1)
| sK14(power_set(X1)) = sK14(power_set(sK21(power_set(range_of(X0))))) ),
inference(resolution,[],[f1335,f401]) ).
fof(f1484,plain,
! [X0,X1] :
( ~ empty(X0)
| sK14(power_set(X1)) = sK21(power_set(range_of(X0)))
| ~ empty(X1) ),
inference(resolution,[],[f1335,f399]) ).
fof(f1483,plain,
! [X0,X1] :
( ~ empty(X0)
| sK21(power_set(range_of(X0))) = X1
| ~ empty(X1) ),
inference(resolution,[],[f1335,f343]) ).
fof(f1482,plain,
! [X0] :
( ~ empty(X0)
| relation_like(sK21(power_set(range_of(X0)))) ),
inference(resolution,[],[f1335,f315]) ).
fof(f1335,plain,
! [X0] :
( empty(sK21(power_set(range_of(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f1326,f493]) ).
fof(f1331,plain,
! [X0] :
( sP1(sK21(power_set(range_of(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f1326,f491]) ).
fof(f1477,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| ilf_type(range_of(X0),relation_type(X1,X2)) ),
inference(resolution,[],[f1438,f254]) ).
fof(f1438,plain,
! [X0,X1] :
( ilf_type(range_of(X0),subset_type(X1))
| ~ empty(X0) ),
inference(resolution,[],[f1342,f450]) ).
fof(f1465,plain,
! [X0,X1] :
( ~ empty(X0)
| sK21(power_set(X1)) = sK14(power_set(range_of(X0)))
| ~ empty(X1) ),
inference(resolution,[],[f1333,f1216]) ).
fof(f1452,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ empty(X1)
| sK20(X1) = sK20(sK14(power_set(range_of(X0)))) ),
inference(resolution,[],[f1333,f766]) ).
fof(f1451,plain,
! [X0,X1] :
( ~ empty(X0)
| sK20(X1) = sK14(power_set(range_of(X0)))
| ~ empty(X1) ),
inference(resolution,[],[f1333,f687]) ).
fof(f1450,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| domain_of(sK14(power_set(range_of(X0)))) = domain(X1,X2,sK14(power_set(range_of(X0)))) ),
inference(resolution,[],[f1333,f468]) ).
fof(f1449,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| range_of(sK14(power_set(range_of(X0)))) = range(X1,X2,sK14(power_set(range_of(X0)))) ),
inference(resolution,[],[f1333,f467]) ).
fof(f1448,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ empty(X1)
| sK14(power_set(X1)) = sK14(power_set(sK14(power_set(range_of(X0))))) ),
inference(resolution,[],[f1333,f401]) ).
fof(f1447,plain,
! [X0,X1] :
( ~ empty(X0)
| sK14(power_set(X1)) = sK14(power_set(range_of(X0)))
| ~ empty(X1) ),
inference(resolution,[],[f1333,f399]) ).
fof(f1446,plain,
! [X0,X1] :
( ~ empty(X0)
| sK14(power_set(range_of(X0))) = X1
| ~ empty(X1) ),
inference(resolution,[],[f1333,f343]) ).
fof(f1445,plain,
! [X0] :
( ~ empty(X0)
| relation_like(sK14(power_set(range_of(X0)))) ),
inference(resolution,[],[f1333,f315]) ).
fof(f1333,plain,
! [X0] :
( empty(sK14(power_set(range_of(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f1326,f365]) ).
fof(f1329,plain,
! [X0] :
( sP1(sK14(power_set(range_of(X0))))
| ~ empty(X0) ),
inference(resolution,[],[f1326,f364]) ).
fof(f1440,plain,
! [X0,X1] :
( ~ empty(X0)
| range_of(X0) = ordered_pair(sK12(range_of(X0)),sK13(range_of(X0)))
| ~ sP1(power_set(X1)) ),
inference(resolution,[],[f1342,f1003]) ).
fof(f1342,plain,
! [X0,X1] :
( member(range_of(X0),power_set(X1))
| ~ empty(X0) ),
inference(resolution,[],[f1326,f279]) ).
fof(f1399,plain,
! [X0] :
( relation_like(sK20(range_of(X0)))
| ~ empty(X0) ),
inference(resolution,[],[f1330,f319]) ).
fof(f1421,plain,
! [X0,X1] :
( ~ empty(X0)
| sK21(power_set(X1)) = sK20(range_of(X0))
| ~ empty(X1) ),
inference(resolution,[],[f1334,f1216]) ).
fof(f1408,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ empty(X1)
| sK20(X1) = sK20(sK20(range_of(X0))) ),
inference(resolution,[],[f1334,f766]) ).
fof(f1407,plain,
! [X0,X1] :
( ~ empty(X0)
| sK20(X1) = sK20(range_of(X0))
| ~ empty(X1) ),
inference(resolution,[],[f1334,f687]) ).
fof(f1406,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| domain_of(sK20(range_of(X0))) = domain(X1,X2,sK20(range_of(X0))) ),
inference(resolution,[],[f1334,f468]) ).
fof(f1405,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| range_of(sK20(range_of(X0))) = range(X1,X2,sK20(range_of(X0))) ),
inference(resolution,[],[f1334,f467]) ).
fof(f1404,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ empty(X1)
| sK14(power_set(X1)) = sK14(power_set(sK20(range_of(X0)))) ),
inference(resolution,[],[f1334,f401]) ).
fof(f1403,plain,
! [X0,X1] :
( ~ empty(X0)
| sK14(power_set(X1)) = sK20(range_of(X0))
| ~ empty(X1) ),
inference(resolution,[],[f1334,f399]) ).
fof(f1402,plain,
! [X0,X1] :
( ~ empty(X0)
| sK20(range_of(X0)) = X1
| ~ empty(X1) ),
inference(resolution,[],[f1334,f343]) ).
fof(f1401,plain,
! [X0] :
( ~ empty(X0)
| relation_like(sK20(range_of(X0))) ),
inference(resolution,[],[f1334,f315]) ).
fof(f1334,plain,
! [X0] :
( empty(sK20(range_of(X0)))
| ~ empty(X0) ),
inference(resolution,[],[f1326,f577]) ).
fof(f1330,plain,
! [X0] :
( sP1(sK20(range_of(X0)))
| ~ empty(X0) ),
inference(resolution,[],[f1326,f575]) ).
fof(f1346,plain,
! [X0,X1] :
( sP0(X1,range_of(X0))
| ~ empty(X0) ),
inference(resolution,[],[f1326,f150]) ).
fof(f1395,plain,
! [X0,X1] :
( ~ empty(X0)
| range_of(X0) = X1
| ~ subset(X1,range_of(X0)) ),
inference(resolution,[],[f1341,f262]) ).
fof(f1394,plain,
! [X0,X1] :
( ~ empty(X0)
| range_of(X0) = X1
| ~ empty(X1) ),
inference(resolution,[],[f1341,f341]) ).
fof(f1341,plain,
! [X0,X1] :
( subset(range_of(X0),X1)
| ~ empty(X0) ),
inference(resolution,[],[f1326,f270]) ).
fof(f1360,plain,
! [X0] :
( relation_like(range_of(X0))
| ~ empty(X0) ),
inference(resolution,[],[f1328,f319]) ).
fof(f1382,plain,
! [X0,X1] :
( ~ empty(X0)
| range_of(X0) = sK21(power_set(X1))
| ~ empty(X1) ),
inference(resolution,[],[f1332,f1216]) ).
fof(f1369,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ empty(X1)
| sK20(X1) = sK20(range_of(X0)) ),
inference(resolution,[],[f1332,f766]) ).
fof(f1368,plain,
! [X0,X1] :
( ~ empty(X0)
| range_of(X0) = sK20(X1)
| ~ empty(X1) ),
inference(resolution,[],[f1332,f687]) ).
fof(f1367,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| domain_of(range_of(X0)) = domain(X1,X2,range_of(X0)) ),
inference(resolution,[],[f1332,f468]) ).
fof(f1366,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| range_of(range_of(X0)) = range(X1,X2,range_of(X0)) ),
inference(resolution,[],[f1332,f467]) ).
fof(f1365,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ empty(X1)
| sK14(power_set(X1)) = sK14(power_set(range_of(X0))) ),
inference(resolution,[],[f1332,f401]) ).
fof(f1364,plain,
! [X0,X1] :
( ~ empty(X0)
| range_of(X0) = sK14(power_set(X1))
| ~ empty(X1) ),
inference(resolution,[],[f1332,f399]) ).
fof(f1363,plain,
! [X0,X1] :
( ~ empty(X0)
| range_of(X0) = X1
| ~ empty(X1) ),
inference(resolution,[],[f1332,f343]) ).
fof(f1362,plain,
! [X0] :
( ~ empty(X0)
| relation_like(range_of(X0)) ),
inference(resolution,[],[f1332,f315]) ).
fof(f1332,plain,
! [X0] :
( empty(range_of(X0))
| ~ empty(X0) ),
inference(resolution,[],[f1326,f238]) ).
fof(f1328,plain,
! [X0] :
( sP1(range_of(X0))
| ~ empty(X0) ),
inference(resolution,[],[f1326,f173]) ).
fof(f1350,plain,
! [X0,X1] :
( ~ empty(X0)
| member(sK15(X1,range_of(X0)),X1)
| range_of(X0) = X1 ),
inference(resolution,[],[f1326,f258]) ).
fof(f1349,plain,
! [X0,X1] :
( ~ empty(X0)
| range_of(X0) = X1
| ~ empty(X1) ),
inference(resolution,[],[f1326,f793]) ).
fof(f1348,plain,
! [X0,X1] :
( ~ empty(X0)
| member(sK16(X1,range_of(X0)),X1)
| sP3(X1,range_of(X0)) ),
inference(resolution,[],[f1326,f199]) ).
fof(f1347,plain,
! [X0,X1] :
( ~ empty(X0)
| sP3(X1,range_of(X0))
| ~ empty(X1) ),
inference(resolution,[],[f1326,f618]) ).
fof(f1345,plain,
! [X0] :
( ~ empty(X0)
| empty(sK20(range_of(X0))) ),
inference(resolution,[],[f1326,f581]) ).
fof(f1344,plain,
! [X0] :
( ~ empty(X0)
| empty(sK14(power_set(range_of(X0)))) ),
inference(resolution,[],[f1326,f482]) ).
fof(f1343,plain,
! [X0] :
( ~ empty(X0)
| empty(range_of(X0)) ),
inference(resolution,[],[f1326,f476]) ).
fof(f1339,plain,
! [X0,X1] :
( ~ empty(X0)
| member(sK16(range_of(X0),X1),X1)
| sP3(range_of(X0),X1) ),
inference(resolution,[],[f1326,f199]) ).
fof(f1338,plain,
! [X0,X1] :
( ~ empty(X0)
| sP3(range_of(X0),X1)
| ~ empty(X1) ),
inference(resolution,[],[f1326,f610]) ).
fof(f1337,plain,
! [X0,X1] :
( ~ empty(X0)
| member(sK15(range_of(X0),X1),X1)
| range_of(X0) = X1 ),
inference(resolution,[],[f1326,f258]) ).
fof(f1327,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ member(X1,range_of(range_of(X0)))
| ~ ilf_type(range_of(X0),binary_relation_type) ),
inference(resolution,[],[f1326,f1262]) ).
fof(f1326,plain,
! [X0,X1] :
( ~ member(X0,range_of(X1))
| ~ empty(X1) ),
inference(global_subsumption,[],[f151,f149,f148,f147,f156,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f168,f167,f174,f172,f171,f170,f169,f175,f178,f177,f239,f176,f240,f233,f179,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f187,f251,f186,f253,f190,f255,f189,f257,f188,f259,f260,f193,f261,f195,f198,f197,f196,f201,f265,f205,f267,f204,f269,f203,f271,f272,f202,f273,f274,f209,f276,f208,f278,f207,f280,f281,f206,f282,f283,f211,f285,f210,f287,f213,f289,f212,f291,f231,f293,f294,f295,f296,f232,f297,f298,f299,f216,f301,f217,f303,f218,f305,f219,f307,f220,f221,f309,f223,f311,f222,f312,f224,f225,f226,f237,f152,f153,f157,f227,f236,f266,f154,f315,f241,f242,f316,f313,f318,f319,f173,f238,f155,f250,f310,f314,f150,f330,f331,f333,f268,f270,f338,f337,f339,f262,f341,f343,f263,f264,f275,f277,f279,f348,f347,f286,f354,f288,f351,f284,f360,f361,f362,f363,f366,f367,f368,f300,f370,f371,f373,f374,f375,f369,f378,f379,f381,f382,f383,f384,f372,f385,f386,f387,f388,f389,f390,f391,f252,f352,f364,f393,f394,f392,f395,f365,f397,f398,f396,f399,f380,f404,f405,f406,f407,f408,f409,f410,f254,f412,f413,f358,f414,f415,f416,f417,f418,f419,f420,f401,f421,f290,f422,f423,f292,f424,f425,f302,f428,f429,f426,f427,f304,f432,f433,f431,f306,f435,f438,f439,f440,f441,f442,f308,f443,f449,f447,f450,f455,f457,f458,f459,f460,f452,f453,f461,f462,f465,f466,f463,f454,f469,f464,f470,f471,f472,f476,f481,f477,f487,f488,f489,f490,f483,f492,f494,f495,f496,f497,f498,f467,f499,f468,f500,f482,f502,f503,f504,f505,f506,f485,f509,f515,f517,f518,f520,f522,f539,f572,f573,f512,f576,f578,f579,f580,f582,f583,f524,f586,f585,f589,f528,f199,f611,f612,f613,f614,f615,f616,f617,f619,f620,f621,f622,f623,f624,f625,f626,f631,f632,f633,f634,f635,f636,f637,f630,f575,f643,f644,f645,f646,f647,f648,f641,f649,f642,f200,f669,f670,f674,f577,f680,f681,f682,f683,f684,f685,f678,f688,f689,f690,f691,f256,f729,f730,f581,f755,f756,f757,f758,f759,f760,f687,f764,f525,f769,f258,f785,f786,f787,f788,f789,f790,f791,f794,f795,f796,f797,f798,f799,f800,f508,f840,f841,f842,f843,f844,f845,f846,f847,f849,f850,f851,f852,f853,f854,f855,f856,f514,f857,f858,f859,f860,f861,f862,f863,f864,f866,f867,f868,f869,f870,f871,f872,f873,f766,f874,f876,f527,f754,f526,f679,f918,f521,f946,f950,f951,f956,f948,f953,f954,f952,f947,f959,f961,f963,f949,f955,f523,f1003,f1052,f1053,f1054,f1055,f1056,f1058,f1059,f1060,f1061,f1062,f1063,f1064,f1065,f1067,f1068,f1069,f1070,f1075,f1076,f1080,f1081,f1079,f1084,f610,f1099,f1101,f1103,f1104,f1105,f1106,f1107,f1108,f1109,f1100,f1102,f1115,f618,f1119,f1121,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1122,f1131,f784,f1135,f1137,f1139,f1140,f1141,f1142,f1143,f1144,f1145,f1138,f1148,f793,f1152,f1154,f1156,f1157,f1158,f1159,f1160,f1161,f1162,f1155,f1164,f1066,f1167,f451,f1169,f1170,f491,f1173,f1175,f1176,f1177,f1178,f1179,f1180,f1181,f1172,f1182,f1183,f1184,f1133,f1174,f493,f1204,f1206,f1208,f1209,f1210,f1211,f1212,f1213,f1214,f1205,f1217,f1218,f1219,f1220,f1221,f1222,f1216,f1265,f1267,f1268,f1207,f1262,f1309,f1310,f1325,f1311]) ).
fof(f1322,plain,
! [X0,X1] :
( ~ member(X0,range_of(sK21(power_set(X1))))
| ~ ilf_type(sK21(power_set(X1)),binary_relation_type)
| member(ordered_pair(sK10(sK21(power_set(X1)),X0),X0),X1) ),
inference(resolution,[],[f1262,f483]) ).
fof(f1321,plain,
! [X0,X1] :
( ~ member(X0,range_of(sK20(X1)))
| ~ ilf_type(sK20(X1),binary_relation_type)
| member(ordered_pair(sK10(sK20(X1),X0),X0),X1) ),
inference(resolution,[],[f1262,f512]) ).
fof(f1320,plain,
! [X0,X1] :
( ~ member(X0,range_of(sK14(power_set(X1))))
| ~ ilf_type(sK14(power_set(X1)),binary_relation_type)
| member(ordered_pair(sK10(sK14(power_set(X1)),X0),X0),X1) ),
inference(resolution,[],[f1262,f363]) ).
fof(f1319,plain,
! [X0,X1] :
( ~ member(X0,range_of(sK11(power_set(X1))))
| ~ ilf_type(sK11(power_set(X1)),binary_relation_type)
| member(ordered_pair(sK10(sK11(power_set(X1)),X0),X0),X1)
| sP1(power_set(X1)) ),
inference(resolution,[],[f1262,f358]) ).
fof(f1318,plain,
! [X2,X0,X1] :
( ~ member(X0,range_of(power_set(X1)))
| ~ ilf_type(power_set(X1),binary_relation_type)
| ~ member(X2,ordered_pair(sK10(power_set(X1),X0),X0))
| member(X2,X1) ),
inference(resolution,[],[f1262,f284]) ).
fof(f1317,plain,
! [X0,X1] :
( ~ member(X0,range_of(power_set(X1)))
| ~ ilf_type(power_set(X1),binary_relation_type)
| ilf_type(ordered_pair(sK10(power_set(X1),X0),X0),subset_type(X1)) ),
inference(resolution,[],[f1262,f450]) ).
fof(f1316,plain,
! [X2,X0,X1] :
( ~ member(X0,range_of(domain_of(sK19(X1,X2))))
| ~ ilf_type(domain_of(sK19(X1,X2)),binary_relation_type)
| member(ordered_pair(sK10(domain_of(sK19(X1,X2)),X0),X0),X2) ),
inference(resolution,[],[f1262,f514]) ).
fof(f1315,plain,
! [X0] :
( ~ member(X0,range_of(domain_of(sK9)))
| ~ ilf_type(domain_of(sK9),binary_relation_type)
| member(ordered_pair(sK10(domain_of(sK9),X0),X0),sK7) ),
inference(resolution,[],[f1262,f518]) ).
fof(f1314,plain,
! [X2,X0,X1] :
( ~ member(X0,range_of(range_of(sK19(X1,X2))))
| ~ ilf_type(range_of(sK19(X1,X2)),binary_relation_type)
| member(ordered_pair(sK10(range_of(sK19(X1,X2)),X0),X0),X1) ),
inference(resolution,[],[f1262,f508]) ).
fof(f1311,plain,
! [X0,X1] :
( ~ member(X0,range_of(X1))
| ~ ilf_type(X1,binary_relation_type)
| ~ empty(X1) ),
inference(resolution,[],[f1262,f330]) ).
fof(f1325,plain,
! [X0,X1] :
( ~ member(X0,range_of(X1))
| ordered_pair(sK10(X1,X0),X0) = ordered_pair(sK12(ordered_pair(sK10(X1,X0),X0)),sK13(ordered_pair(sK10(X1,X0),X0)))
| ~ sP1(X1) ),
inference(global_subsumption,[],[f151,f149,f148,f147,f156,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f168,f167,f174,f172,f171,f170,f169,f175,f178,f177,f239,f176,f240,f233,f179,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f187,f251,f186,f253,f190,f255,f189,f257,f188,f259,f260,f193,f261,f195,f198,f197,f196,f201,f265,f205,f267,f204,f269,f203,f271,f272,f202,f273,f274,f209,f276,f208,f278,f207,f280,f281,f206,f282,f283,f211,f285,f210,f287,f213,f289,f212,f291,f231,f293,f294,f295,f296,f232,f297,f298,f299,f216,f301,f217,f303,f218,f305,f219,f307,f220,f221,f309,f223,f311,f222,f312,f224,f225,f226,f237,f152,f153,f157,f227,f236,f266,f154,f315,f241,f242,f316,f313,f318,f319,f173,f238,f155,f250,f310,f314,f150,f330,f331,f333,f268,f270,f338,f337,f339,f262,f341,f343,f263,f264,f275,f277,f279,f348,f347,f286,f354,f288,f351,f284,f360,f361,f362,f363,f366,f367,f368,f300,f370,f371,f373,f374,f375,f369,f378,f379,f381,f382,f383,f384,f372,f385,f386,f387,f388,f389,f390,f391,f252,f352,f364,f393,f394,f392,f395,f365,f397,f398,f396,f399,f380,f404,f405,f406,f407,f408,f409,f410,f254,f412,f413,f358,f414,f415,f416,f417,f418,f419,f420,f401,f421,f290,f422,f423,f292,f424,f425,f302,f428,f429,f426,f427,f304,f432,f433,f431,f306,f435,f438,f439,f440,f441,f442,f308,f443,f449,f447,f450,f455,f457,f458,f459,f460,f452,f453,f461,f462,f465,f466,f463,f454,f469,f464,f470,f471,f472,f476,f481,f477,f487,f488,f489,f490,f483,f492,f494,f495,f496,f497,f498,f467,f499,f468,f500,f482,f502,f503,f504,f505,f506,f485,f509,f515,f517,f518,f520,f522,f539,f572,f573,f512,f576,f578,f579,f580,f582,f583,f524,f586,f585,f589,f528,f199,f611,f612,f613,f614,f615,f616,f617,f619,f620,f621,f622,f623,f624,f625,f626,f631,f632,f633,f634,f635,f636,f637,f630,f575,f643,f644,f645,f646,f647,f648,f641,f649,f642,f200,f669,f670,f674,f577,f680,f681,f682,f683,f684,f685,f678,f688,f689,f690,f691,f256,f729,f730,f581,f755,f756,f757,f758,f759,f760,f687,f764,f525,f769,f258,f785,f786,f787,f788,f789,f790,f791,f794,f795,f796,f797,f798,f799,f800,f508,f840,f841,f842,f843,f844,f845,f846,f847,f849,f850,f851,f852,f853,f854,f855,f856,f514,f857,f858,f859,f860,f861,f862,f863,f864,f866,f867,f868,f869,f870,f871,f872,f873,f766,f874,f876,f527,f754,f526,f679,f918,f521,f946,f950,f951,f956,f948,f953,f954,f952,f947,f959,f961,f963,f949,f955,f523,f1003,f1052,f1053,f1054,f1055,f1056,f1058,f1059,f1060,f1061,f1062,f1063,f1064,f1065,f1067,f1068,f1069,f1070,f1075,f1076,f1080,f1081,f1079,f1084,f610,f1099,f1101,f1103,f1104,f1105,f1106,f1107,f1108,f1109,f1100,f1102,f1115,f618,f1119,f1121,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1122,f1131,f784,f1135,f1137,f1139,f1140,f1141,f1142,f1143,f1144,f1145,f1138,f1148,f793,f1152,f1154,f1156,f1157,f1158,f1159,f1160,f1161,f1162,f1155,f1164,f1066,f1167,f451,f1169,f1170,f491,f1173,f1175,f1176,f1177,f1178,f1179,f1180,f1181,f1172,f1182,f1183,f1184,f1133,f1174,f493,f1204,f1206,f1208,f1209,f1210,f1211,f1212,f1213,f1214,f1205,f1217,f1218,f1219,f1220,f1221,f1222,f1216,f1265,f1267,f1268,f1207,f1262,f1309,f1310]) ).
fof(f1310,plain,
! [X0,X1] :
( ~ member(X0,range_of(X1))
| ~ ilf_type(X1,binary_relation_type)
| ordered_pair(sK10(X1,X0),X0) = ordered_pair(sK12(ordered_pair(sK10(X1,X0),X0)),sK13(ordered_pair(sK10(X1,X0),X0)))
| ~ sP1(X1) ),
inference(resolution,[],[f1262,f1003]) ).
fof(f1262,plain,
! [X0,X1] :
( member(ordered_pair(sK10(X0,X1),X1),X0)
| ~ member(X1,range_of(X0))
| ~ ilf_type(X0,binary_relation_type) ),
inference(subsumption_resolution,[],[f161,f157]) ).
fof(f1207,plain,
( empty(sK21(power_set(domain_of(sK9))))
| member(sK14(sK21(power_set(domain_of(sK9)))),sK7) ),
inference(resolution,[],[f493,f518]) ).
fof(f1268,plain,
! [X0,X1] :
( sK21(power_set(X0)) = sK21(power_set(X1))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1216,f1205]) ).
fof(f1267,plain,
! [X0,X1] :
( sK21(power_set(X0)) = sK20(X1)
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1216,f678]) ).
fof(f1265,plain,
! [X0,X1] :
( sK21(power_set(X0)) = sK14(power_set(X1))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f1216,f396]) ).
fof(f1216,plain,
! [X0,X1] :
( ~ empty(X1)
| sK21(power_set(X0)) = X1
| ~ empty(X0) ),
inference(resolution,[],[f1205,f343]) ).
fof(f1222,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ empty(X1)
| sK20(X1) = sK20(sK21(power_set(X0))) ),
inference(resolution,[],[f1205,f766]) ).
fof(f1221,plain,
! [X0,X1] :
( ~ empty(X0)
| sK21(power_set(X0)) = sK20(X1)
| ~ empty(X1) ),
inference(resolution,[],[f1205,f687]) ).
fof(f1220,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| domain_of(sK21(power_set(X0))) = domain(X1,X2,sK21(power_set(X0))) ),
inference(resolution,[],[f1205,f468]) ).
fof(f1219,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| range_of(sK21(power_set(X0))) = range(X1,X2,sK21(power_set(X0))) ),
inference(resolution,[],[f1205,f467]) ).
fof(f1218,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ empty(X1)
| sK14(power_set(X1)) = sK14(power_set(sK21(power_set(X0)))) ),
inference(resolution,[],[f1205,f401]) ).
fof(f1217,plain,
! [X0,X1] :
( ~ empty(X0)
| sK21(power_set(X0)) = sK14(power_set(X1))
| ~ empty(X1) ),
inference(resolution,[],[f1205,f399]) ).
fof(f1205,plain,
! [X0] :
( empty(sK21(power_set(X0)))
| ~ empty(X0) ),
inference(resolution,[],[f493,f330]) ).
fof(f1214,plain,
! [X0] :
( empty(sK21(power_set(sK21(power_set(X0)))))
| member(sK14(sK21(power_set(sK21(power_set(X0))))),X0) ),
inference(resolution,[],[f493,f483]) ).
fof(f1213,plain,
! [X0] :
( empty(sK21(power_set(sK20(X0))))
| member(sK14(sK21(power_set(sK20(X0)))),X0) ),
inference(resolution,[],[f493,f512]) ).
fof(f1212,plain,
! [X0] :
( empty(sK21(power_set(sK14(power_set(X0)))))
| member(sK14(sK21(power_set(sK14(power_set(X0))))),X0) ),
inference(resolution,[],[f493,f363]) ).
fof(f1211,plain,
! [X0] :
( empty(sK21(power_set(sK11(power_set(X0)))))
| member(sK14(sK21(power_set(sK11(power_set(X0))))),X0)
| sP1(power_set(X0)) ),
inference(resolution,[],[f493,f358]) ).
fof(f1210,plain,
! [X0,X1] :
( empty(sK21(power_set(power_set(X0))))
| ~ member(X1,sK14(sK21(power_set(power_set(X0)))))
| member(X1,X0) ),
inference(resolution,[],[f493,f284]) ).
fof(f1209,plain,
! [X0] :
( empty(sK21(power_set(power_set(X0))))
| ilf_type(sK14(sK21(power_set(power_set(X0)))),subset_type(X0)) ),
inference(resolution,[],[f493,f450]) ).
fof(f1208,plain,
! [X0,X1] :
( empty(sK21(power_set(domain_of(sK19(X0,X1)))))
| member(sK14(sK21(power_set(domain_of(sK19(X0,X1))))),X1) ),
inference(resolution,[],[f493,f514]) ).
fof(f1206,plain,
! [X0,X1] :
( empty(sK21(power_set(range_of(sK19(X0,X1)))))
| member(sK14(sK21(power_set(range_of(sK19(X0,X1))))),X0) ),
inference(resolution,[],[f493,f508]) ).
fof(f1204,plain,
! [X0] :
( empty(sK21(power_set(X0)))
| sK14(sK21(power_set(X0))) = ordered_pair(sK12(sK14(sK21(power_set(X0)))),sK13(sK14(sK21(power_set(X0)))))
| ~ sP1(X0) ),
inference(resolution,[],[f493,f1003]) ).
fof(f493,plain,
! [X0] :
( member(sK14(sK21(power_set(X0))),X0)
| empty(sK21(power_set(X0))) ),
inference(resolution,[],[f483,f238]) ).
fof(f1174,plain,
( sP1(sK21(power_set(domain_of(sK9))))
| member(sK11(sK21(power_set(domain_of(sK9)))),sK7) ),
inference(resolution,[],[f491,f518]) ).
fof(f1184,plain,
! [X0] :
( relation_like(sK21(power_set(X0)))
| ~ sP1(X0) ),
inference(resolution,[],[f1182,f319]) ).
fof(f1183,plain,
! [X0] :
( relation_like(sK21(power_set(X0)))
| ~ empty(X0) ),
inference(resolution,[],[f1172,f319]) ).
fof(f1182,plain,
! [X0] :
( sP1(sK21(power_set(X0)))
| ~ sP1(X0) ),
inference(subsumption_resolution,[],[f1171,f918]) ).
fof(f1171,plain,
! [X0] :
( sP1(sK21(power_set(X0)))
| sK11(sK21(power_set(X0))) = ordered_pair(sK12(sK11(sK21(power_set(X0)))),sK13(sK11(sK21(power_set(X0)))))
| ~ sP1(X0) ),
inference(resolution,[],[f491,f1003]) ).
fof(f1172,plain,
! [X0] :
( sP1(sK21(power_set(X0)))
| ~ empty(X0) ),
inference(resolution,[],[f491,f330]) ).
fof(f1181,plain,
! [X0] :
( sP1(sK21(power_set(sK21(power_set(X0)))))
| member(sK11(sK21(power_set(sK21(power_set(X0))))),X0) ),
inference(resolution,[],[f491,f483]) ).
fof(f1180,plain,
! [X0] :
( sP1(sK21(power_set(sK20(X0))))
| member(sK11(sK21(power_set(sK20(X0)))),X0) ),
inference(resolution,[],[f491,f512]) ).
fof(f1179,plain,
! [X0] :
( sP1(sK21(power_set(sK14(power_set(X0)))))
| member(sK11(sK21(power_set(sK14(power_set(X0))))),X0) ),
inference(resolution,[],[f491,f363]) ).
fof(f1178,plain,
! [X0] :
( sP1(sK21(power_set(sK11(power_set(X0)))))
| member(sK11(sK21(power_set(sK11(power_set(X0))))),X0)
| sP1(power_set(X0)) ),
inference(resolution,[],[f491,f358]) ).
fof(f1177,plain,
! [X0,X1] :
( sP1(sK21(power_set(power_set(X0))))
| ~ member(X1,sK11(sK21(power_set(power_set(X0)))))
| member(X1,X0) ),
inference(resolution,[],[f491,f284]) ).
fof(f1176,plain,
! [X0] :
( sP1(sK21(power_set(power_set(X0))))
| ilf_type(sK11(sK21(power_set(power_set(X0)))),subset_type(X0)) ),
inference(resolution,[],[f491,f450]) ).
fof(f1175,plain,
! [X0,X1] :
( sP1(sK21(power_set(domain_of(sK19(X0,X1)))))
| member(sK11(sK21(power_set(domain_of(sK19(X0,X1))))),X1) ),
inference(resolution,[],[f491,f514]) ).
fof(f1173,plain,
! [X0,X1] :
( sP1(sK21(power_set(range_of(sK19(X0,X1)))))
| member(sK11(sK21(power_set(range_of(sK19(X0,X1))))),X0) ),
inference(resolution,[],[f491,f508]) ).
fof(f491,plain,
! [X0] :
( member(sK11(sK21(power_set(X0))),X0)
| sP1(sK21(power_set(X0))) ),
inference(resolution,[],[f483,f173]) ).
fof(f1170,plain,
! [X2,X0,X1] : domain_of(range_of(sK19(cross_product(X0,X1),X2))) = domain(X0,X1,range_of(sK19(cross_product(X0,X1),X2))),
inference(resolution,[],[f451,f302]) ).
fof(f1169,plain,
! [X2,X0,X1] : range_of(range_of(sK19(cross_product(X0,X1),X2))) = range(X0,X1,range_of(sK19(cross_product(X0,X1),X2))),
inference(resolution,[],[f451,f304]) ).
fof(f451,plain,
! [X2,X0,X1] : ilf_type(range_of(sK19(cross_product(X0,X1),X2)),relation_type(X0,X1)),
inference(resolution,[],[f447,f254]) ).
fof(f1167,plain,
! [X0] :
( ordered_pair(sK12(X0),sK13(X0)) = X0
| ~ relation_like(power_set(X0)) ),
inference(resolution,[],[f1066,f318]) ).
fof(f1066,plain,
! [X0] :
( ~ sP1(power_set(X0))
| ordered_pair(sK12(X0),sK13(X0)) = X0 ),
inference(resolution,[],[f1003,f348]) ).
fof(f1164,plain,
! [X0] :
( ~ empty(X0)
| domain_of(sK9) = X0
| sK15(X0,domain_of(sK9)) = ordered_pair(sK12(sK15(X0,domain_of(sK9))),sK13(sK15(X0,domain_of(sK9))))
| ~ sP1(sK7) ),
inference(resolution,[],[f1155,f1003]) ).
fof(f1155,plain,
! [X0] :
( member(sK15(X0,domain_of(sK9)),sK7)
| ~ empty(X0)
| domain_of(sK9) = X0 ),
inference(resolution,[],[f793,f518]) ).
fof(f1162,plain,
! [X0,X1] :
( sK21(power_set(X1)) = X0
| ~ empty(X0)
| member(sK15(X0,sK21(power_set(X1))),X1) ),
inference(resolution,[],[f793,f483]) ).
fof(f1161,plain,
! [X0,X1] :
( sK20(X1) = X0
| ~ empty(X0)
| member(sK15(X0,sK20(X1)),X1) ),
inference(resolution,[],[f793,f512]) ).
fof(f1160,plain,
! [X0,X1] :
( sK14(power_set(X1)) = X0
| ~ empty(X0)
| member(sK15(X0,sK14(power_set(X1))),X1) ),
inference(resolution,[],[f793,f363]) ).
fof(f1159,plain,
! [X0,X1] :
( sK11(power_set(X1)) = X0
| ~ empty(X0)
| member(sK15(X0,sK11(power_set(X1))),X1)
| sP1(power_set(X1)) ),
inference(resolution,[],[f793,f358]) ).
fof(f1158,plain,
! [X2,X0,X1] :
( power_set(X1) = X0
| ~ empty(X0)
| ~ member(X2,sK15(X0,power_set(X1)))
| member(X2,X1) ),
inference(resolution,[],[f793,f284]) ).
fof(f1157,plain,
! [X0,X1] :
( power_set(X1) = X0
| ~ empty(X0)
| ilf_type(sK15(X0,power_set(X1)),subset_type(X1)) ),
inference(resolution,[],[f793,f450]) ).
fof(f1156,plain,
! [X2,X0,X1] :
( domain_of(sK19(X1,X2)) = X0
| ~ empty(X0)
| member(sK15(X0,domain_of(sK19(X1,X2))),X2) ),
inference(resolution,[],[f793,f514]) ).
fof(f1154,plain,
! [X2,X0,X1] :
( range_of(sK19(X1,X2)) = X0
| ~ empty(X0)
| member(sK15(X0,range_of(sK19(X1,X2))),X1) ),
inference(resolution,[],[f793,f508]) ).
fof(f1152,plain,
! [X0,X1] :
( X0 = X1
| ~ empty(X0)
| sK15(X0,X1) = ordered_pair(sK12(sK15(X0,X1)),sK13(sK15(X0,X1)))
| ~ sP1(X1) ),
inference(resolution,[],[f793,f1003]) ).
fof(f793,plain,
! [X0,X1] :
( member(sK15(X0,X1),X1)
| X0 = X1
| ~ empty(X0) ),
inference(resolution,[],[f258,f330]) ).
fof(f1148,plain,
! [X0] :
( ~ empty(X0)
| domain_of(sK9) = X0
| sK15(domain_of(sK9),X0) = ordered_pair(sK12(sK15(domain_of(sK9),X0)),sK13(sK15(domain_of(sK9),X0)))
| ~ sP1(sK7) ),
inference(resolution,[],[f1138,f1003]) ).
fof(f1138,plain,
! [X0] :
( member(sK15(domain_of(sK9),X0),sK7)
| ~ empty(X0)
| domain_of(sK9) = X0 ),
inference(resolution,[],[f784,f518]) ).
fof(f1145,plain,
! [X0,X1] :
( sK21(power_set(X0)) = X1
| ~ empty(X1)
| member(sK15(sK21(power_set(X0)),X1),X0) ),
inference(resolution,[],[f784,f483]) ).
fof(f1144,plain,
! [X0,X1] :
( sK20(X0) = X1
| ~ empty(X1)
| member(sK15(sK20(X0),X1),X0) ),
inference(resolution,[],[f784,f512]) ).
fof(f1143,plain,
! [X0,X1] :
( sK14(power_set(X0)) = X1
| ~ empty(X1)
| member(sK15(sK14(power_set(X0)),X1),X0) ),
inference(resolution,[],[f784,f363]) ).
fof(f1142,plain,
! [X0,X1] :
( sK11(power_set(X0)) = X1
| ~ empty(X1)
| member(sK15(sK11(power_set(X0)),X1),X0)
| sP1(power_set(X0)) ),
inference(resolution,[],[f784,f358]) ).
fof(f1141,plain,
! [X2,X0,X1] :
( power_set(X0) = X1
| ~ empty(X1)
| ~ member(X2,sK15(power_set(X0),X1))
| member(X2,X0) ),
inference(resolution,[],[f784,f284]) ).
fof(f1140,plain,
! [X0,X1] :
( power_set(X0) = X1
| ~ empty(X1)
| ilf_type(sK15(power_set(X0),X1),subset_type(X0)) ),
inference(resolution,[],[f784,f450]) ).
fof(f1139,plain,
! [X2,X0,X1] :
( domain_of(sK19(X0,X1)) = X2
| ~ empty(X2)
| member(sK15(domain_of(sK19(X0,X1)),X2),X1) ),
inference(resolution,[],[f784,f514]) ).
fof(f1137,plain,
! [X2,X0,X1] :
( range_of(sK19(X0,X1)) = X2
| ~ empty(X2)
| member(sK15(range_of(sK19(X0,X1)),X2),X0) ),
inference(resolution,[],[f784,f508]) ).
fof(f1135,plain,
! [X0,X1] :
( X0 = X1
| ~ empty(X1)
| sK15(X0,X1) = ordered_pair(sK12(sK15(X0,X1)),sK13(sK15(X0,X1)))
| ~ sP1(X0) ),
inference(resolution,[],[f784,f1003]) ).
fof(f784,plain,
! [X0,X1] :
( member(sK15(X0,X1),X0)
| X0 = X1
| ~ empty(X1) ),
inference(resolution,[],[f258,f330]) ).
fof(f1131,plain,
! [X0] :
( ~ empty(X0)
| sP3(X0,domain_of(sK9))
| sK16(X0,domain_of(sK9)) = ordered_pair(sK12(sK16(X0,domain_of(sK9))),sK13(sK16(X0,domain_of(sK9))))
| ~ sP1(sK7) ),
inference(resolution,[],[f1122,f1003]) ).
fof(f1122,plain,
! [X0] :
( member(sK16(X0,domain_of(sK9)),sK7)
| ~ empty(X0)
| sP3(X0,domain_of(sK9)) ),
inference(resolution,[],[f618,f518]) ).
fof(f1129,plain,
! [X0,X1] :
( sP3(X0,sK21(power_set(X1)))
| ~ empty(X0)
| member(sK16(X0,sK21(power_set(X1))),X1) ),
inference(resolution,[],[f618,f483]) ).
fof(f1128,plain,
! [X0,X1] :
( sP3(X0,sK20(X1))
| ~ empty(X0)
| member(sK16(X0,sK20(X1)),X1) ),
inference(resolution,[],[f618,f512]) ).
fof(f1127,plain,
! [X0,X1] :
( sP3(X0,sK14(power_set(X1)))
| ~ empty(X0)
| member(sK16(X0,sK14(power_set(X1))),X1) ),
inference(resolution,[],[f618,f363]) ).
fof(f1126,plain,
! [X0,X1] :
( sP3(X0,sK11(power_set(X1)))
| ~ empty(X0)
| member(sK16(X0,sK11(power_set(X1))),X1)
| sP1(power_set(X1)) ),
inference(resolution,[],[f618,f358]) ).
fof(f1125,plain,
! [X2,X0,X1] :
( sP3(X0,power_set(X1))
| ~ empty(X0)
| ~ member(X2,sK16(X0,power_set(X1)))
| member(X2,X1) ),
inference(resolution,[],[f618,f284]) ).
fof(f1124,plain,
! [X0,X1] :
( sP3(X0,power_set(X1))
| ~ empty(X0)
| ilf_type(sK16(X0,power_set(X1)),subset_type(X1)) ),
inference(resolution,[],[f618,f450]) ).
fof(f1123,plain,
! [X2,X0,X1] :
( sP3(X0,domain_of(sK19(X1,X2)))
| ~ empty(X0)
| member(sK16(X0,domain_of(sK19(X1,X2))),X2) ),
inference(resolution,[],[f618,f514]) ).
fof(f1121,plain,
! [X2,X0,X1] :
( sP3(X0,range_of(sK19(X1,X2)))
| ~ empty(X0)
| member(sK16(X0,range_of(sK19(X1,X2))),X1) ),
inference(resolution,[],[f618,f508]) ).
fof(f1119,plain,
! [X0,X1] :
( sP3(X0,X1)
| ~ empty(X0)
| sK16(X0,X1) = ordered_pair(sK12(sK16(X0,X1)),sK13(sK16(X0,X1)))
| ~ sP1(X1) ),
inference(resolution,[],[f618,f1003]) ).
fof(f618,plain,
! [X0,X1] :
( member(sK16(X0,X1),X1)
| sP3(X0,X1)
| ~ empty(X0) ),
inference(resolution,[],[f199,f330]) ).
fof(f1115,plain,
! [X0] :
( ~ empty(X0)
| sP3(domain_of(sK9),X0)
| sK16(domain_of(sK9),X0) = ordered_pair(sK12(sK16(domain_of(sK9),X0)),sK13(sK16(domain_of(sK9),X0)))
| ~ sP1(sK7) ),
inference(resolution,[],[f1102,f1003]) ).
fof(f1102,plain,
! [X0] :
( member(sK16(domain_of(sK9),X0),sK7)
| ~ empty(X0)
| sP3(domain_of(sK9),X0) ),
inference(resolution,[],[f610,f518]) ).
fof(f1100,plain,
! [X0,X1] :
( sP3(X0,X1)
| ~ empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f610,f330]) ).
fof(f1109,plain,
! [X0,X1] :
( sP3(sK21(power_set(X0)),X1)
| ~ empty(X1)
| member(sK16(sK21(power_set(X0)),X1),X0) ),
inference(resolution,[],[f610,f483]) ).
fof(f1108,plain,
! [X0,X1] :
( sP3(sK20(X0),X1)
| ~ empty(X1)
| member(sK16(sK20(X0),X1),X0) ),
inference(resolution,[],[f610,f512]) ).
fof(f1107,plain,
! [X0,X1] :
( sP3(sK14(power_set(X0)),X1)
| ~ empty(X1)
| member(sK16(sK14(power_set(X0)),X1),X0) ),
inference(resolution,[],[f610,f363]) ).
fof(f1106,plain,
! [X0,X1] :
( sP3(sK11(power_set(X0)),X1)
| ~ empty(X1)
| member(sK16(sK11(power_set(X0)),X1),X0)
| sP1(power_set(X0)) ),
inference(resolution,[],[f610,f358]) ).
fof(f1105,plain,
! [X2,X0,X1] :
( sP3(power_set(X0),X1)
| ~ empty(X1)
| ~ member(X2,sK16(power_set(X0),X1))
| member(X2,X0) ),
inference(resolution,[],[f610,f284]) ).
fof(f1104,plain,
! [X0,X1] :
( sP3(power_set(X0),X1)
| ~ empty(X1)
| ilf_type(sK16(power_set(X0),X1),subset_type(X0)) ),
inference(resolution,[],[f610,f450]) ).
fof(f1103,plain,
! [X2,X0,X1] :
( sP3(domain_of(sK19(X0,X1)),X2)
| ~ empty(X2)
| member(sK16(domain_of(sK19(X0,X1)),X2),X1) ),
inference(resolution,[],[f610,f514]) ).
fof(f1101,plain,
! [X2,X0,X1] :
( sP3(range_of(sK19(X0,X1)),X2)
| ~ empty(X2)
| member(sK16(range_of(sK19(X0,X1)),X2),X0) ),
inference(resolution,[],[f610,f508]) ).
fof(f1099,plain,
! [X0,X1] :
( sP3(X0,X1)
| ~ empty(X1)
| sK16(X0,X1) = ordered_pair(sK12(sK16(X0,X1)),sK13(sK16(X0,X1)))
| ~ sP1(X0) ),
inference(resolution,[],[f610,f1003]) ).
fof(f610,plain,
! [X0,X1] :
( member(sK16(X0,X1),X0)
| sP3(X0,X1)
| ~ empty(X1) ),
inference(resolution,[],[f199,f330]) ).
fof(f1084,plain,
! [X0] :
( relation_like(sK14(power_set(X0)))
| ~ sP1(X0) ),
inference(resolution,[],[f1079,f319]) ).
fof(f1079,plain,
! [X0] :
( sP1(sK14(power_set(X0)))
| ~ sP1(X0) ),
inference(subsumption_resolution,[],[f1050,f918]) ).
fof(f1050,plain,
! [X0] :
( sK11(sK14(power_set(X0))) = ordered_pair(sK12(sK11(sK14(power_set(X0)))),sK13(sK11(sK14(power_set(X0)))))
| ~ sP1(X0)
| sP1(sK14(power_set(X0))) ),
inference(resolution,[],[f1003,f364]) ).
fof(f1081,plain,
! [X0] :
( relation_like(sK20(X0))
| ~ sP1(X0) ),
inference(resolution,[],[f1080,f319]) ).
fof(f1080,plain,
! [X0] :
( sP1(sK20(X0))
| ~ sP1(X0) ),
inference(subsumption_resolution,[],[f1051,f918]) ).
fof(f1051,plain,
! [X0] :
( sK11(sK20(X0)) = ordered_pair(sK12(sK11(sK20(X0))),sK13(sK11(sK20(X0))))
| ~ sP1(X0)
| sP1(sK20(X0)) ),
inference(resolution,[],[f1003,f575]) ).
fof(f1076,plain,
! [X0] :
( sK18(domain_of(sK9),X0) = ordered_pair(sK12(sK18(domain_of(sK9),X0)),sK13(sK18(domain_of(sK9),X0)))
| ~ sP1(sK7)
| member(domain_of(sK9),power_set(X0)) ),
inference(resolution,[],[f1003,f525]) ).
fof(f1075,plain,
! [X0] :
( sK17(domain_of(sK9),X0) = ordered_pair(sK12(sK17(domain_of(sK9),X0)),sK13(sK17(domain_of(sK9),X0)))
| ~ sP1(sK7)
| subset(domain_of(sK9),X0) ),
inference(resolution,[],[f1003,f524]) ).
fof(f1070,plain,
! [X0] :
( sK5(X0,domain_of(sK9)) = ordered_pair(sK12(sK5(X0,domain_of(sK9))),sK13(sK5(X0,domain_of(sK9))))
| ~ sP1(sK7)
| sP0(X0,domain_of(sK9)) ),
inference(resolution,[],[f1003,f528]) ).
fof(f1069,plain,
( domain_of(sK9) = ordered_pair(sK12(domain_of(sK9)),sK13(domain_of(sK9)))
| ~ sP1(power_set(sK7)) ),
inference(resolution,[],[f1003,f769]) ).
fof(f1068,plain,
! [X0,X1] :
( ordered_pair(sK12(X0),sK13(X0)) = X0
| ~ sP1(power_set(X1))
| ~ empty(X0) ),
inference(resolution,[],[f1003,f347]) ).
fof(f1067,plain,
! [X0,X1] :
( ordered_pair(sK12(X0),sK13(X0)) = X0
| ~ sP1(power_set(X1))
| ~ ilf_type(X0,subset_type(X1)) ),
inference(resolution,[],[f1003,f477]) ).
fof(f1065,plain,
! [X0,X1] :
( sK15(X0,X1) = ordered_pair(sK12(sK15(X0,X1)),sK13(sK15(X0,X1)))
| ~ sP1(X1)
| member(sK15(X0,X1),X0)
| X0 = X1 ),
inference(resolution,[],[f1003,f258]) ).
fof(f1064,plain,
! [X0,X1] :
( sK16(X0,X1) = ordered_pair(sK12(sK16(X0,X1)),sK13(sK16(X0,X1)))
| ~ sP1(X1)
| member(sK16(X0,X1),X0)
| sP3(X0,X1) ),
inference(resolution,[],[f1003,f199]) ).
fof(f1063,plain,
! [X0,X1] :
( sK5(X0,X1) = ordered_pair(sK12(sK5(X0,X1)),sK13(sK5(X0,X1)))
| ~ sP1(X1)
| sP0(X0,X1) ),
inference(resolution,[],[f1003,f150]) ).
fof(f1062,plain,
! [X0] :
( sK21(sK20(X0)) = ordered_pair(sK12(sK21(sK20(X0))),sK13(sK21(sK20(X0))))
| ~ sP1(X0)
| empty(sK20(X0)) ),
inference(resolution,[],[f1003,f581]) ).
fof(f1061,plain,
! [X0] :
( sK21(sK14(power_set(X0))) = ordered_pair(sK12(sK21(sK14(power_set(X0)))),sK13(sK21(sK14(power_set(X0)))))
| ~ sP1(X0)
| empty(sK14(power_set(X0))) ),
inference(resolution,[],[f1003,f482]) ).
fof(f1060,plain,
! [X0] :
( sK21(X0) = ordered_pair(sK12(sK21(X0)),sK13(sK21(X0)))
| ~ sP1(X0)
| empty(X0) ),
inference(resolution,[],[f1003,f476]) ).
fof(f1059,plain,
! [X0,X1] :
( sK18(X0,X1) = ordered_pair(sK12(sK18(X0,X1)),sK13(sK18(X0,X1)))
| ~ sP1(X0)
| member(X0,power_set(X1)) ),
inference(resolution,[],[f1003,f279]) ).
fof(f1058,plain,
! [X0,X1] :
( sK17(X0,X1) = ordered_pair(sK12(sK17(X0,X1)),sK13(sK17(X0,X1)))
| ~ sP1(X0)
| subset(X0,X1) ),
inference(resolution,[],[f1003,f270]) ).
fof(f1056,plain,
! [X0,X1] :
( sK16(X0,X1) = ordered_pair(sK12(sK16(X0,X1)),sK13(sK16(X0,X1)))
| ~ sP1(X0)
| member(sK16(X0,X1),X1)
| sP3(X0,X1) ),
inference(resolution,[],[f1003,f199]) ).
fof(f1055,plain,
! [X0,X1] :
( sK15(X0,X1) = ordered_pair(sK12(sK15(X0,X1)),sK13(sK15(X0,X1)))
| ~ sP1(X0)
| member(sK15(X0,X1),X1)
| X0 = X1 ),
inference(resolution,[],[f1003,f258]) ).
fof(f1054,plain,
! [X0] :
( sK14(sK20(X0)) = ordered_pair(sK12(sK14(sK20(X0))),sK13(sK14(sK20(X0))))
| ~ sP1(X0)
| empty(sK20(X0)) ),
inference(resolution,[],[f1003,f577]) ).
fof(f1053,plain,
! [X0] :
( sK14(sK14(power_set(X0))) = ordered_pair(sK12(sK14(sK14(power_set(X0)))),sK13(sK14(sK14(power_set(X0)))))
| ~ sP1(X0)
| empty(sK14(power_set(X0))) ),
inference(resolution,[],[f1003,f365]) ).
fof(f1052,plain,
! [X0] :
( sK14(X0) = ordered_pair(sK12(sK14(X0)),sK13(sK14(X0)))
| ~ sP1(X0)
| empty(X0) ),
inference(resolution,[],[f1003,f238]) ).
fof(f1003,plain,
! [X0,X4] :
( ~ member(X4,X0)
| ordered_pair(sK12(X4),sK13(X4)) = X4
| ~ sP1(X0) ),
inference(subsumption_resolution,[],[f171,f157]) ).
fof(f523,plain,
( member(sK14(sK14(power_set(domain_of(sK9)))),sK7)
| empty(sK14(power_set(domain_of(sK9)))) ),
inference(resolution,[],[f518,f365]) ).
fof(f955,plain,
! [X2,X0,X1] : relation_like(domain_of(sK19(X0,cross_product(X1,X2)))),
inference(resolution,[],[f946,f439]) ).
fof(f949,plain,
! [X2,X0,X1] : relation_like(range_of(sK19(cross_product(X0,X1),X2))),
inference(resolution,[],[f946,f447]) ).
fof(f963,plain,
! [X0,X1] : relation_like(sK19(X0,X1)),
inference(resolution,[],[f947,f310]) ).
fof(f959,plain,
! [X2,X0,X1] : relation_like(domain_of(sK19(X0,cross_product(X1,X2)))),
inference(resolution,[],[f947,f440]) ).
fof(f952,plain,
! [X0,X1] : relation_like(sK14(power_set(cross_product(X0,X1)))),
inference(resolution,[],[f946,f461]) ).
fof(f954,plain,
! [X0,X1] : relation_like(sK21(power_set(cross_product(X0,X1)))),
inference(resolution,[],[f946,f354]) ).
fof(f953,plain,
! [X0,X1] : relation_like(sK20(cross_product(X0,X1))),
inference(resolution,[],[f946,f313]) ).
fof(f948,plain,
! [X0,X1] : relation_like(cross_product(X0,X1)),
inference(resolution,[],[f946,f452]) ).
fof(f956,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,[],[f946,f308]) ).
fof(f951,plain,
! [X0,X1] :
( relation_like(sK11(power_set(cross_product(X0,X1))))
| sP1(power_set(cross_product(X0,X1))) ),
inference(resolution,[],[f946,f454]) ).
fof(f521,plain,
( member(sK11(sK14(power_set(domain_of(sK9)))),sK7)
| sP1(sK14(power_set(domain_of(sK9)))) ),
inference(resolution,[],[f518,f364]) ).
fof(f918,plain,
! [X2,X3,X0] :
( ordered_pair(X2,X3) != sK11(X0)
| sP1(X0) ),
inference(subsumption_resolution,[],[f917,f157]) ).
fof(f917,plain,
! [X2,X3,X0] :
( sP1(X0)
| ordered_pair(X2,X3) != sK11(X0)
| ~ ilf_type(X2,set_type) ),
inference(subsumption_resolution,[],[f174,f157]) ).
fof(f679,plain,
( empty(sK20(domain_of(sK9)))
| member(sK14(sK20(domain_of(sK9))),sK7) ),
inference(resolution,[],[f577,f518]) ).
fof(f526,plain,
( member(sK21(domain_of(sK9)),sK7)
| empty(domain_of(sK9)) ),
inference(resolution,[],[f518,f476]) ).
fof(f754,plain,
( empty(sK20(domain_of(sK9)))
| member(sK21(sK20(domain_of(sK9))),sK7) ),
inference(resolution,[],[f581,f518]) ).
fof(f527,plain,
( member(sK21(sK14(power_set(domain_of(sK9)))),sK7)
| empty(sK14(power_set(domain_of(sK9)))) ),
inference(resolution,[],[f518,f482]) ).
fof(f876,plain,
! [X0,X1] :
( ~ empty(X0)
| sK20(X0) = sK20(sK20(X1))
| ~ empty(X1) ),
inference(resolution,[],[f766,f678]) ).
fof(f874,plain,
! [X0,X1] :
( ~ empty(X0)
| sK20(X0) = sK20(sK14(power_set(X1)))
| ~ empty(X1) ),
inference(resolution,[],[f766,f396]) ).
fof(f766,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| sK20(X0) = sK20(X1) ),
inference(resolution,[],[f687,f678]) ).
fof(f873,plain,
! [X2,X0,X1] :
( member(sK15(X0,domain_of(sK19(X1,X2))),X2)
| member(sK15(X0,domain_of(sK19(X1,X2))),X0)
| domain_of(sK19(X1,X2)) = X0 ),
inference(resolution,[],[f514,f258]) ).
fof(f872,plain,
! [X2,X0,X1] :
( member(sK16(X0,domain_of(sK19(X1,X2))),X2)
| member(sK16(X0,domain_of(sK19(X1,X2))),X0)
| sP3(X0,domain_of(sK19(X1,X2))) ),
inference(resolution,[],[f514,f199]) ).
fof(f871,plain,
! [X2,X0,X1] :
( member(sK5(X0,domain_of(sK19(X1,X2))),X2)
| sP0(X0,domain_of(sK19(X1,X2))) ),
inference(resolution,[],[f514,f150]) ).
fof(f870,plain,
! [X0,X1] :
( member(sK21(sK20(domain_of(sK19(X0,X1)))),X1)
| empty(sK20(domain_of(sK19(X0,X1)))) ),
inference(resolution,[],[f514,f581]) ).
fof(f869,plain,
! [X0,X1] :
( member(sK21(sK14(power_set(domain_of(sK19(X0,X1))))),X1)
| empty(sK14(power_set(domain_of(sK19(X0,X1))))) ),
inference(resolution,[],[f514,f482]) ).
fof(f868,plain,
! [X0,X1] :
( member(sK21(domain_of(sK19(X0,X1))),X1)
| empty(domain_of(sK19(X0,X1))) ),
inference(resolution,[],[f514,f476]) ).
fof(f867,plain,
! [X2,X0,X1] :
( member(sK18(domain_of(sK19(X0,X1)),X2),X1)
| member(domain_of(sK19(X0,X1)),power_set(X2)) ),
inference(resolution,[],[f514,f279]) ).
fof(f866,plain,
! [X2,X0,X1] :
( member(sK17(domain_of(sK19(X0,X1)),X2),X1)
| subset(domain_of(sK19(X0,X1)),X2) ),
inference(resolution,[],[f514,f270]) ).
fof(f864,plain,
! [X2,X0,X1] :
( member(sK16(domain_of(sK19(X0,X1)),X2),X1)
| member(sK16(domain_of(sK19(X0,X1)),X2),X2)
| sP3(domain_of(sK19(X0,X1)),X2) ),
inference(resolution,[],[f514,f199]) ).
fof(f863,plain,
! [X2,X0,X1] :
( member(sK15(domain_of(sK19(X0,X1)),X2),X1)
| member(sK15(domain_of(sK19(X0,X1)),X2),X2)
| domain_of(sK19(X0,X1)) = X2 ),
inference(resolution,[],[f514,f258]) ).
fof(f862,plain,
! [X0,X1] :
( member(sK14(sK20(domain_of(sK19(X0,X1)))),X1)
| empty(sK20(domain_of(sK19(X0,X1)))) ),
inference(resolution,[],[f514,f577]) ).
fof(f861,plain,
! [X0,X1] :
( member(sK14(sK14(power_set(domain_of(sK19(X0,X1))))),X1)
| empty(sK14(power_set(domain_of(sK19(X0,X1))))) ),
inference(resolution,[],[f514,f365]) ).
fof(f860,plain,
! [X0,X1] :
( member(sK14(domain_of(sK19(X0,X1))),X1)
| empty(domain_of(sK19(X0,X1))) ),
inference(resolution,[],[f514,f238]) ).
fof(f859,plain,
! [X0,X1] :
( member(sK11(sK20(domain_of(sK19(X0,X1)))),X1)
| sP1(sK20(domain_of(sK19(X0,X1)))) ),
inference(resolution,[],[f514,f575]) ).
fof(f858,plain,
! [X0,X1] :
( member(sK11(sK14(power_set(domain_of(sK19(X0,X1))))),X1)
| sP1(sK14(power_set(domain_of(sK19(X0,X1))))) ),
inference(resolution,[],[f514,f364]) ).
fof(f857,plain,
! [X0,X1] :
( member(sK11(domain_of(sK19(X0,X1))),X1)
| sP1(domain_of(sK19(X0,X1))) ),
inference(resolution,[],[f514,f173]) ).
fof(f514,plain,
! [X2,X0,X1] :
( ~ member(X0,domain_of(sK19(X1,X2)))
| member(X0,X2) ),
inference(resolution,[],[f485,f439]) ).
fof(f856,plain,
! [X2,X0,X1] :
( member(sK15(X0,range_of(sK19(X1,X2))),X1)
| member(sK15(X0,range_of(sK19(X1,X2))),X0)
| range_of(sK19(X1,X2)) = X0 ),
inference(resolution,[],[f508,f258]) ).
fof(f855,plain,
! [X2,X0,X1] :
( member(sK16(X0,range_of(sK19(X1,X2))),X1)
| member(sK16(X0,range_of(sK19(X1,X2))),X0)
| sP3(X0,range_of(sK19(X1,X2))) ),
inference(resolution,[],[f508,f199]) ).
fof(f854,plain,
! [X2,X0,X1] :
( member(sK5(X0,range_of(sK19(X1,X2))),X1)
| sP0(X0,range_of(sK19(X1,X2))) ),
inference(resolution,[],[f508,f150]) ).
fof(f853,plain,
! [X0,X1] :
( member(sK21(sK20(range_of(sK19(X0,X1)))),X0)
| empty(sK20(range_of(sK19(X0,X1)))) ),
inference(resolution,[],[f508,f581]) ).
fof(f852,plain,
! [X0,X1] :
( member(sK21(sK14(power_set(range_of(sK19(X0,X1))))),X0)
| empty(sK14(power_set(range_of(sK19(X0,X1))))) ),
inference(resolution,[],[f508,f482]) ).
fof(f851,plain,
! [X0,X1] :
( member(sK21(range_of(sK19(X0,X1))),X0)
| empty(range_of(sK19(X0,X1))) ),
inference(resolution,[],[f508,f476]) ).
fof(f850,plain,
! [X2,X0,X1] :
( member(sK18(range_of(sK19(X0,X1)),X2),X0)
| member(range_of(sK19(X0,X1)),power_set(X2)) ),
inference(resolution,[],[f508,f279]) ).
fof(f849,plain,
! [X2,X0,X1] :
( member(sK17(range_of(sK19(X0,X1)),X2),X0)
| subset(range_of(sK19(X0,X1)),X2) ),
inference(resolution,[],[f508,f270]) ).
fof(f847,plain,
! [X2,X0,X1] :
( member(sK16(range_of(sK19(X0,X1)),X2),X0)
| member(sK16(range_of(sK19(X0,X1)),X2),X2)
| sP3(range_of(sK19(X0,X1)),X2) ),
inference(resolution,[],[f508,f199]) ).
fof(f846,plain,
! [X2,X0,X1] :
( member(sK15(range_of(sK19(X0,X1)),X2),X0)
| member(sK15(range_of(sK19(X0,X1)),X2),X2)
| range_of(sK19(X0,X1)) = X2 ),
inference(resolution,[],[f508,f258]) ).
fof(f845,plain,
! [X0,X1] :
( member(sK14(sK20(range_of(sK19(X0,X1)))),X0)
| empty(sK20(range_of(sK19(X0,X1)))) ),
inference(resolution,[],[f508,f577]) ).
fof(f844,plain,
! [X0,X1] :
( member(sK14(sK14(power_set(range_of(sK19(X0,X1))))),X0)
| empty(sK14(power_set(range_of(sK19(X0,X1))))) ),
inference(resolution,[],[f508,f365]) ).
fof(f843,plain,
! [X0,X1] :
( member(sK14(range_of(sK19(X0,X1))),X0)
| empty(range_of(sK19(X0,X1))) ),
inference(resolution,[],[f508,f238]) ).
fof(f842,plain,
! [X0,X1] :
( member(sK11(sK20(range_of(sK19(X0,X1)))),X0)
| sP1(sK20(range_of(sK19(X0,X1)))) ),
inference(resolution,[],[f508,f575]) ).
fof(f841,plain,
! [X0,X1] :
( member(sK11(sK14(power_set(range_of(sK19(X0,X1))))),X0)
| sP1(sK14(power_set(range_of(sK19(X0,X1))))) ),
inference(resolution,[],[f508,f364]) ).
fof(f840,plain,
! [X0,X1] :
( member(sK11(range_of(sK19(X0,X1))),X0)
| sP1(range_of(sK19(X0,X1))) ),
inference(resolution,[],[f508,f173]) ).
fof(f508,plain,
! [X2,X0,X1] :
( ~ member(X0,range_of(sK19(X1,X2)))
| member(X0,X1) ),
inference(resolution,[],[f485,f447]) ).
fof(f800,plain,
! [X0,X1] :
( member(sK15(sK21(power_set(X0)),X1),X1)
| sK21(power_set(X0)) = X1
| member(sK15(sK21(power_set(X0)),X1),X0) ),
inference(resolution,[],[f258,f483]) ).
fof(f799,plain,
! [X0,X1] :
( member(sK15(sK20(X0),X1),X1)
| sK20(X0) = X1
| member(sK15(sK20(X0),X1),X0) ),
inference(resolution,[],[f258,f512]) ).
fof(f798,plain,
! [X0,X1] :
( member(sK15(sK14(power_set(X0)),X1),X1)
| sK14(power_set(X0)) = X1
| member(sK15(sK14(power_set(X0)),X1),X0) ),
inference(resolution,[],[f258,f363]) ).
fof(f797,plain,
! [X0,X1] :
( member(sK15(sK11(power_set(X0)),X1),X1)
| sK11(power_set(X0)) = X1
| member(sK15(sK11(power_set(X0)),X1),X0)
| sP1(power_set(X0)) ),
inference(resolution,[],[f258,f358]) ).
fof(f796,plain,
! [X2,X0,X1] :
( member(sK15(power_set(X0),X1),X1)
| power_set(X0) = X1
| ~ member(X2,sK15(power_set(X0),X1))
| member(X2,X0) ),
inference(resolution,[],[f258,f284]) ).
fof(f795,plain,
! [X0,X1] :
( member(sK15(power_set(X0),X1),X1)
| power_set(X0) = X1
| ilf_type(sK15(power_set(X0),X1),subset_type(X0)) ),
inference(resolution,[],[f258,f450]) ).
fof(f794,plain,
! [X0] :
( member(sK15(domain_of(sK9),X0),X0)
| domain_of(sK9) = X0
| member(sK15(domain_of(sK9),X0),sK7) ),
inference(resolution,[],[f258,f518]) ).
fof(f791,plain,
! [X0,X1] :
( member(sK15(X0,sK21(power_set(X1))),X0)
| sK21(power_set(X1)) = X0
| member(sK15(X0,sK21(power_set(X1))),X1) ),
inference(resolution,[],[f258,f483]) ).
fof(f790,plain,
! [X0,X1] :
( member(sK15(X0,sK20(X1)),X0)
| sK20(X1) = X0
| member(sK15(X0,sK20(X1)),X1) ),
inference(resolution,[],[f258,f512]) ).
fof(f789,plain,
! [X0,X1] :
( member(sK15(X0,sK14(power_set(X1))),X0)
| sK14(power_set(X1)) = X0
| member(sK15(X0,sK14(power_set(X1))),X1) ),
inference(resolution,[],[f258,f363]) ).
fof(f788,plain,
! [X0,X1] :
( member(sK15(X0,sK11(power_set(X1))),X0)
| sK11(power_set(X1)) = X0
| member(sK15(X0,sK11(power_set(X1))),X1)
| sP1(power_set(X1)) ),
inference(resolution,[],[f258,f358]) ).
fof(f787,plain,
! [X2,X0,X1] :
( member(sK15(X0,power_set(X1)),X0)
| power_set(X1) = X0
| ~ member(X2,sK15(X0,power_set(X1)))
| member(X2,X1) ),
inference(resolution,[],[f258,f284]) ).
fof(f786,plain,
! [X0,X1] :
( member(sK15(X0,power_set(X1)),X0)
| power_set(X1) = X0
| ilf_type(sK15(X0,power_set(X1)),subset_type(X1)) ),
inference(resolution,[],[f258,f450]) ).
fof(f785,plain,
! [X0] :
( member(sK15(X0,domain_of(sK9)),X0)
| domain_of(sK9) = X0
| member(sK15(X0,domain_of(sK9)),sK7) ),
inference(resolution,[],[f258,f518]) ).
fof(f769,plain,
member(domain_of(sK9),power_set(sK7)),
inference(duplicate_literal_removal,[],[f767]) ).
fof(f767,plain,
( member(domain_of(sK9),power_set(sK7))
| member(domain_of(sK9),power_set(sK7)) ),
inference(resolution,[],[f525,f277]) ).
fof(f525,plain,
! [X0] :
( member(sK18(domain_of(sK9),X0),sK7)
| member(domain_of(sK9),power_set(X0)) ),
inference(resolution,[],[f518,f279]) ).
fof(f764,plain,
! [X0,X1] :
( sK20(X0) = sK14(power_set(X1))
| ~ empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f687,f396]) ).
fof(f687,plain,
! [X0,X1] :
( ~ empty(X1)
| sK20(X0) = X1
| ~ empty(X0) ),
inference(resolution,[],[f678,f343]) ).
fof(f760,plain,
! [X0] :
( empty(sK20(sK21(power_set(X0))))
| member(sK21(sK20(sK21(power_set(X0)))),X0) ),
inference(resolution,[],[f581,f483]) ).
fof(f759,plain,
! [X0] :
( empty(sK20(sK20(X0)))
| member(sK21(sK20(sK20(X0))),X0) ),
inference(resolution,[],[f581,f512]) ).
fof(f758,plain,
! [X0] :
( empty(sK20(sK14(power_set(X0))))
| member(sK21(sK20(sK14(power_set(X0)))),X0) ),
inference(resolution,[],[f581,f363]) ).
fof(f757,plain,
! [X0] :
( empty(sK20(sK11(power_set(X0))))
| member(sK21(sK20(sK11(power_set(X0)))),X0)
| sP1(power_set(X0)) ),
inference(resolution,[],[f581,f358]) ).
fof(f756,plain,
! [X0,X1] :
( empty(sK20(power_set(X0)))
| ~ member(X1,sK21(sK20(power_set(X0))))
| member(X1,X0) ),
inference(resolution,[],[f581,f284]) ).
fof(f755,plain,
! [X0] :
( empty(sK20(power_set(X0)))
| ilf_type(sK21(sK20(power_set(X0))),subset_type(X0)) ),
inference(resolution,[],[f581,f450]) ).
fof(f581,plain,
! [X0] :
( member(sK21(sK20(X0)),X0)
| empty(sK20(X0)) ),
inference(resolution,[],[f512,f476]) ).
fof(f730,plain,
! [X0,X1] :
( power_set(X1) = X0
| ~ member(sK15(X0,power_set(X1)),X0)
| ~ empty(sK15(X0,power_set(X1))) ),
inference(resolution,[],[f256,f347]) ).
fof(f729,plain,
! [X0,X1] :
( power_set(X1) = X0
| ~ member(sK15(X0,power_set(X1)),X0)
| ~ ilf_type(sK15(X0,power_set(X1)),subset_type(X1)) ),
inference(resolution,[],[f256,f477]) ).
fof(f691,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| domain_of(sK20(X0)) = domain(X1,X2,sK20(X0)) ),
inference(resolution,[],[f678,f468]) ).
fof(f690,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| range_of(sK20(X0)) = range(X1,X2,sK20(X0)) ),
inference(resolution,[],[f678,f467]) ).
fof(f689,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ empty(X1)
| sK14(power_set(X1)) = sK14(power_set(sK20(X0))) ),
inference(resolution,[],[f678,f401]) ).
fof(f688,plain,
! [X0,X1] :
( ~ empty(X0)
| sK20(X0) = sK14(power_set(X1))
| ~ empty(X1) ),
inference(resolution,[],[f678,f399]) ).
fof(f678,plain,
! [X0] :
( empty(sK20(X0))
| ~ empty(X0) ),
inference(resolution,[],[f577,f330]) ).
fof(f685,plain,
! [X0] :
( empty(sK20(sK21(power_set(X0))))
| member(sK14(sK20(sK21(power_set(X0)))),X0) ),
inference(resolution,[],[f577,f483]) ).
fof(f684,plain,
! [X0] :
( empty(sK20(sK20(X0)))
| member(sK14(sK20(sK20(X0))),X0) ),
inference(resolution,[],[f577,f512]) ).
fof(f683,plain,
! [X0] :
( empty(sK20(sK14(power_set(X0))))
| member(sK14(sK20(sK14(power_set(X0)))),X0) ),
inference(resolution,[],[f577,f363]) ).
fof(f682,plain,
! [X0] :
( empty(sK20(sK11(power_set(X0))))
| member(sK14(sK20(sK11(power_set(X0)))),X0)
| sP1(power_set(X0)) ),
inference(resolution,[],[f577,f358]) ).
fof(f681,plain,
! [X0,X1] :
( empty(sK20(power_set(X0)))
| ~ member(X1,sK14(sK20(power_set(X0))))
| member(X1,X0) ),
inference(resolution,[],[f577,f284]) ).
fof(f680,plain,
! [X0] :
( empty(sK20(power_set(X0)))
| ilf_type(sK14(sK20(power_set(X0))),subset_type(X0)) ),
inference(resolution,[],[f577,f450]) ).
fof(f577,plain,
! [X0] :
( member(sK14(sK20(X0)),X0)
| empty(sK20(X0)) ),
inference(resolution,[],[f512,f238]) ).
fof(f674,plain,
! [X0] : sP3(X0,X0),
inference(subsumption_resolution,[],[f672,f626]) ).
fof(f672,plain,
! [X0] :
( ~ member(sK16(X0,X0),X0)
| sP3(X0,X0) ),
inference(duplicate_literal_removal,[],[f667]) ).
fof(f667,plain,
! [X0] :
( ~ member(sK16(X0,X0),X0)
| sP3(X0,X0)
| sP3(X0,X0) ),
inference(resolution,[],[f200,f626]) ).
fof(f670,plain,
! [X0,X1] :
( ~ member(sK16(X0,power_set(X1)),X0)
| sP3(X0,power_set(X1))
| ~ empty(sK16(X0,power_set(X1))) ),
inference(resolution,[],[f200,f347]) ).
fof(f669,plain,
! [X0,X1] :
( ~ member(sK16(X0,power_set(X1)),X0)
| sP3(X0,power_set(X1))
| ~ ilf_type(sK16(X0,power_set(X1)),subset_type(X1)) ),
inference(resolution,[],[f200,f477]) ).
fof(f642,plain,
( sP1(sK20(domain_of(sK9)))
| member(sK11(sK20(domain_of(sK9))),sK7) ),
inference(resolution,[],[f575,f518]) ).
fof(f649,plain,
! [X0] :
( relation_like(sK20(X0))
| ~ empty(X0) ),
inference(resolution,[],[f641,f319]) ).
fof(f641,plain,
! [X0] :
( sP1(sK20(X0))
| ~ empty(X0) ),
inference(resolution,[],[f575,f330]) ).
fof(f648,plain,
! [X0] :
( sP1(sK20(sK21(power_set(X0))))
| member(sK11(sK20(sK21(power_set(X0)))),X0) ),
inference(resolution,[],[f575,f483]) ).
fof(f647,plain,
! [X0] :
( sP1(sK20(sK20(X0)))
| member(sK11(sK20(sK20(X0))),X0) ),
inference(resolution,[],[f575,f512]) ).
fof(f646,plain,
! [X0] :
( sP1(sK20(sK14(power_set(X0))))
| member(sK11(sK20(sK14(power_set(X0)))),X0) ),
inference(resolution,[],[f575,f363]) ).
fof(f645,plain,
! [X0] :
( sP1(sK20(sK11(power_set(X0))))
| member(sK11(sK20(sK11(power_set(X0)))),X0)
| sP1(power_set(X0)) ),
inference(resolution,[],[f575,f358]) ).
fof(f644,plain,
! [X0,X1] :
( sP1(sK20(power_set(X0)))
| ~ member(X1,sK11(sK20(power_set(X0))))
| member(X1,X0) ),
inference(resolution,[],[f575,f284]) ).
fof(f643,plain,
! [X0] :
( sP1(sK20(power_set(X0)))
| ilf_type(sK11(sK20(power_set(X0))),subset_type(X0)) ),
inference(resolution,[],[f575,f450]) ).
fof(f575,plain,
! [X0] :
( member(sK11(sK20(X0)),X0)
| sP1(sK20(X0)) ),
inference(resolution,[],[f512,f173]) ).
fof(f630,plain,
! [X0] :
( sP3(X0,X0)
| ~ empty(X0) ),
inference(resolution,[],[f626,f330]) ).
fof(f637,plain,
! [X0] :
( sP3(sK21(power_set(X0)),sK21(power_set(X0)))
| member(sK16(sK21(power_set(X0)),sK21(power_set(X0))),X0) ),
inference(resolution,[],[f626,f483]) ).
fof(f636,plain,
! [X0] :
( sP3(sK20(X0),sK20(X0))
| member(sK16(sK20(X0),sK20(X0)),X0) ),
inference(resolution,[],[f626,f512]) ).
fof(f635,plain,
! [X0] :
( sP3(sK14(power_set(X0)),sK14(power_set(X0)))
| member(sK16(sK14(power_set(X0)),sK14(power_set(X0))),X0) ),
inference(resolution,[],[f626,f363]) ).
fof(f634,plain,
! [X0] :
( sP3(sK11(power_set(X0)),sK11(power_set(X0)))
| member(sK16(sK11(power_set(X0)),sK11(power_set(X0))),X0)
| sP1(power_set(X0)) ),
inference(resolution,[],[f626,f358]) ).
fof(f633,plain,
! [X0,X1] :
( sP3(power_set(X0),power_set(X0))
| ~ member(X1,sK16(power_set(X0),power_set(X0)))
| member(X1,X0) ),
inference(resolution,[],[f626,f284]) ).
fof(f632,plain,
! [X0] :
( sP3(power_set(X0),power_set(X0))
| ilf_type(sK16(power_set(X0),power_set(X0)),subset_type(X0)) ),
inference(resolution,[],[f626,f450]) ).
fof(f631,plain,
( sP3(domain_of(sK9),domain_of(sK9))
| member(sK16(domain_of(sK9),domain_of(sK9)),sK7) ),
inference(resolution,[],[f626,f518]) ).
fof(f626,plain,
! [X0] :
( member(sK16(X0,X0),X0)
| sP3(X0,X0) ),
inference(factoring,[],[f199]) ).
fof(f625,plain,
! [X0,X1] :
( member(sK16(sK21(power_set(X0)),X1),X1)
| sP3(sK21(power_set(X0)),X1)
| member(sK16(sK21(power_set(X0)),X1),X0) ),
inference(resolution,[],[f199,f483]) ).
fof(f624,plain,
! [X0,X1] :
( member(sK16(sK20(X0),X1),X1)
| sP3(sK20(X0),X1)
| member(sK16(sK20(X0),X1),X0) ),
inference(resolution,[],[f199,f512]) ).
fof(f623,plain,
! [X0,X1] :
( member(sK16(sK14(power_set(X0)),X1),X1)
| sP3(sK14(power_set(X0)),X1)
| member(sK16(sK14(power_set(X0)),X1),X0) ),
inference(resolution,[],[f199,f363]) ).
fof(f622,plain,
! [X0,X1] :
( member(sK16(sK11(power_set(X0)),X1),X1)
| sP3(sK11(power_set(X0)),X1)
| member(sK16(sK11(power_set(X0)),X1),X0)
| sP1(power_set(X0)) ),
inference(resolution,[],[f199,f358]) ).
fof(f621,plain,
! [X2,X0,X1] :
( member(sK16(power_set(X0),X1),X1)
| sP3(power_set(X0),X1)
| ~ member(X2,sK16(power_set(X0),X1))
| member(X2,X0) ),
inference(resolution,[],[f199,f284]) ).
fof(f620,plain,
! [X0,X1] :
( member(sK16(power_set(X0),X1),X1)
| sP3(power_set(X0),X1)
| ilf_type(sK16(power_set(X0),X1),subset_type(X0)) ),
inference(resolution,[],[f199,f450]) ).
fof(f619,plain,
! [X0] :
( member(sK16(domain_of(sK9),X0),X0)
| sP3(domain_of(sK9),X0)
| member(sK16(domain_of(sK9),X0),sK7) ),
inference(resolution,[],[f199,f518]) ).
fof(f617,plain,
! [X0,X1] :
( member(sK16(X0,sK21(power_set(X1))),X0)
| sP3(X0,sK21(power_set(X1)))
| member(sK16(X0,sK21(power_set(X1))),X1) ),
inference(resolution,[],[f199,f483]) ).
fof(f616,plain,
! [X0,X1] :
( member(sK16(X0,sK20(X1)),X0)
| sP3(X0,sK20(X1))
| member(sK16(X0,sK20(X1)),X1) ),
inference(resolution,[],[f199,f512]) ).
fof(f615,plain,
! [X0,X1] :
( member(sK16(X0,sK14(power_set(X1))),X0)
| sP3(X0,sK14(power_set(X1)))
| member(sK16(X0,sK14(power_set(X1))),X1) ),
inference(resolution,[],[f199,f363]) ).
fof(f614,plain,
! [X0,X1] :
( member(sK16(X0,sK11(power_set(X1))),X0)
| sP3(X0,sK11(power_set(X1)))
| member(sK16(X0,sK11(power_set(X1))),X1)
| sP1(power_set(X1)) ),
inference(resolution,[],[f199,f358]) ).
fof(f613,plain,
! [X2,X0,X1] :
( member(sK16(X0,power_set(X1)),X0)
| sP3(X0,power_set(X1))
| ~ member(X2,sK16(X0,power_set(X1)))
| member(X2,X1) ),
inference(resolution,[],[f199,f284]) ).
fof(f612,plain,
! [X0,X1] :
( member(sK16(X0,power_set(X1)),X0)
| sP3(X0,power_set(X1))
| ilf_type(sK16(X0,power_set(X1)),subset_type(X1)) ),
inference(resolution,[],[f199,f450]) ).
fof(f611,plain,
! [X0] :
( member(sK16(X0,domain_of(sK9)),X0)
| sP3(X0,domain_of(sK9))
| member(sK16(X0,domain_of(sK9)),sK7) ),
inference(resolution,[],[f199,f518]) ).
fof(f528,plain,
! [X0] :
( member(sK5(X0,domain_of(sK9)),sK7)
| sP0(X0,domain_of(sK9)) ),
inference(resolution,[],[f518,f150]) ).
fof(f589,plain,
( sK7 = domain_of(sK9)
| ~ subset(sK7,domain_of(sK9)) ),
inference(resolution,[],[f586,f262]) ).
fof(f585,plain,
! [X0] :
( subset(domain_of(sK9),X0)
| ~ empty(sK7) ),
inference(resolution,[],[f524,f330]) ).
fof(f586,plain,
subset(domain_of(sK9),sK7),
inference(duplicate_literal_removal,[],[f584]) ).
fof(f584,plain,
( subset(domain_of(sK9),sK7)
| subset(domain_of(sK9),sK7) ),
inference(resolution,[],[f524,f268]) ).
fof(f524,plain,
! [X0] :
( member(sK17(domain_of(sK9),X0),sK7)
| subset(domain_of(sK9),X0) ),
inference(resolution,[],[f518,f270]) ).
fof(f583,plain,
! [X0,X1] :
( member(sK5(X0,sK20(X1)),X1)
| sP0(X0,sK20(X1)) ),
inference(resolution,[],[f512,f150]) ).
fof(f582,plain,
! [X0] :
( member(sK21(sK14(power_set(sK20(X0)))),X0)
| empty(sK14(power_set(sK20(X0)))) ),
inference(resolution,[],[f512,f482]) ).
fof(f580,plain,
! [X0,X1] :
( member(sK18(sK20(X0),X1),X0)
| member(sK20(X0),power_set(X1)) ),
inference(resolution,[],[f512,f279]) ).
fof(f579,plain,
! [X0,X1] :
( member(sK17(sK20(X0),X1),X0)
| subset(sK20(X0),X1) ),
inference(resolution,[],[f512,f270]) ).
fof(f578,plain,
! [X0] :
( member(sK14(sK14(power_set(sK20(X0)))),X0)
| empty(sK14(power_set(sK20(X0)))) ),
inference(resolution,[],[f512,f365]) ).
fof(f576,plain,
! [X0] :
( member(sK11(sK14(power_set(sK20(X0)))),X0)
| sP1(sK14(power_set(sK20(X0)))) ),
inference(resolution,[],[f512,f364]) ).
fof(f512,plain,
! [X0,X1] :
( ~ member(X0,sK20(X1))
| member(X0,X1) ),
inference(resolution,[],[f485,f313]) ).
fof(f573,plain,
! [X2,X0,X1] :
( sP0(power_set(X0),X1)
| ~ empty(ordered_pair(X2,sK5(power_set(X0),X1))) ),
inference(resolution,[],[f539,f347]) ).
fof(f572,plain,
! [X2,X0,X1] :
( sP0(power_set(X0),X1)
| ~ ilf_type(ordered_pair(X2,sK5(power_set(X0),X1)),subset_type(X0)) ),
inference(resolution,[],[f539,f477]) ).
fof(f539,plain,
! [X3,X0,X1] :
( ~ member(ordered_pair(X3,sK5(X0,X1)),X0)
| sP0(X0,X1) ),
inference(subsumption_resolution,[],[f151,f157]) ).
fof(f522,plain,
( member(sK14(domain_of(sK9)),sK7)
| empty(domain_of(sK9)) ),
inference(resolution,[],[f518,f238]) ).
fof(f520,plain,
( member(sK11(domain_of(sK9)),sK7)
| sP1(domain_of(sK9)) ),
inference(resolution,[],[f518,f173]) ).
fof(f518,plain,
! [X0] :
( ~ member(X0,domain_of(sK9))
| member(X0,sK7) ),
inference(resolution,[],[f485,f438]) ).
fof(f517,plain,
! [X2,X3,X0,X1] :
( ~ member(X0,X1)
| member(X0,cross_product(X2,X3))
| ~ ilf_type(X1,relation_type(X2,X3)) ),
inference(resolution,[],[f485,f252]) ).
fof(f515,plain,
! [X2,X3,X0,X1] :
( ~ member(X0,range(X1,X2,X3))
| member(X0,X2)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(resolution,[],[f485,f308]) ).
fof(f509,plain,
! [X2,X3,X0,X1] :
( ~ member(X0,domain(X1,X2,X3))
| member(X0,X1)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(resolution,[],[f485,f306]) ).
fof(f506,plain,
! [X0] :
( empty(sK14(power_set(sK21(power_set(X0)))))
| member(sK21(sK14(power_set(sK21(power_set(X0))))),X0) ),
inference(resolution,[],[f482,f483]) ).
fof(f505,plain,
! [X0] :
( empty(sK14(power_set(sK14(power_set(X0)))))
| member(sK21(sK14(power_set(sK14(power_set(X0))))),X0) ),
inference(resolution,[],[f482,f363]) ).
fof(f504,plain,
! [X0] :
( empty(sK14(power_set(sK11(power_set(X0)))))
| member(sK21(sK14(power_set(sK11(power_set(X0))))),X0)
| sP1(power_set(X0)) ),
inference(resolution,[],[f482,f358]) ).
fof(f503,plain,
! [X0,X1] :
( empty(sK14(power_set(power_set(X0))))
| ~ member(X1,sK21(sK14(power_set(power_set(X0)))))
| member(X1,X0) ),
inference(resolution,[],[f482,f284]) ).
fof(f502,plain,
! [X0] :
( empty(sK14(power_set(power_set(X0))))
| ilf_type(sK21(sK14(power_set(power_set(X0)))),subset_type(X0)) ),
inference(resolution,[],[f482,f450]) ).
fof(f482,plain,
! [X0] :
( member(sK21(sK14(power_set(X0))),X0)
| empty(sK14(power_set(X0))) ),
inference(resolution,[],[f476,f363]) ).
fof(f500,plain,
! [X2,X0,X1] :
( domain_of(sK14(power_set(X0))) = domain(X1,X2,sK14(power_set(X0)))
| ~ empty(X0) ),
inference(resolution,[],[f468,f396]) ).
fof(f468,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| domain_of(X0) = domain(X1,X2,X0) ),
inference(resolution,[],[f463,f302]) ).
fof(f499,plain,
! [X2,X0,X1] :
( range_of(sK14(power_set(X0))) = range(X1,X2,sK14(power_set(X0)))
| ~ empty(X0) ),
inference(resolution,[],[f467,f396]) ).
fof(f467,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| range_of(X0) = range(X1,X2,X0) ),
inference(resolution,[],[f463,f304]) ).
fof(f498,plain,
! [X0,X1] :
( member(sK5(X0,sK21(power_set(X1))),X1)
| sP0(X0,sK21(power_set(X1))) ),
inference(resolution,[],[f483,f150]) ).
fof(f497,plain,
! [X0] :
( member(sK21(sK21(power_set(X0))),X0)
| empty(sK21(power_set(X0))) ),
inference(resolution,[],[f483,f476]) ).
fof(f496,plain,
! [X0,X1] :
( member(sK18(sK21(power_set(X0)),X1),X0)
| member(sK21(power_set(X0)),power_set(X1)) ),
inference(resolution,[],[f483,f279]) ).
fof(f495,plain,
! [X0,X1] :
( member(sK17(sK21(power_set(X0)),X1),X0)
| subset(sK21(power_set(X0)),X1) ),
inference(resolution,[],[f483,f270]) ).
fof(f494,plain,
! [X0] :
( member(sK14(sK14(power_set(sK21(power_set(X0))))),X0)
| empty(sK14(power_set(sK21(power_set(X0))))) ),
inference(resolution,[],[f483,f365]) ).
fof(f492,plain,
! [X0] :
( member(sK11(sK14(power_set(sK21(power_set(X0))))),X0)
| sP1(sK14(power_set(sK21(power_set(X0))))) ),
inference(resolution,[],[f483,f364]) ).
fof(f483,plain,
! [X0,X1] :
( ~ member(X1,sK21(power_set(X0)))
| member(X1,X0) ),
inference(subsumption_resolution,[],[f480,f236]) ).
fof(f480,plain,
! [X0,X1] :
( empty(power_set(X0))
| ~ member(X1,sK21(power_set(X0)))
| member(X1,X0) ),
inference(resolution,[],[f476,f284]) ).
fof(f490,plain,
! [X2,X0,X1] :
( ~ ilf_type(ordered_pair(X0,X1),subset_type(X2))
| member(X1,range_of(power_set(X2)))
| ~ ilf_type(power_set(X2),binary_relation_type) ),
inference(resolution,[],[f477,f290]) ).
fof(f489,plain,
! [X2,X0,X1] :
( ~ ilf_type(ordered_pair(X0,X1),subset_type(X2))
| member(X0,domain_of(power_set(X2)))
| ~ ilf_type(power_set(X2),binary_relation_type) ),
inference(resolution,[],[f477,f292]) ).
fof(f488,plain,
! [X0,X1] :
( ~ ilf_type(sK18(X0,power_set(X1)),subset_type(X1))
| member(X0,power_set(power_set(X1))) ),
inference(resolution,[],[f477,f277]) ).
fof(f487,plain,
! [X0,X1] :
( ~ ilf_type(sK17(X0,power_set(X1)),subset_type(X1))
| subset(X0,power_set(X1)) ),
inference(resolution,[],[f477,f268]) ).
fof(f481,plain,
! [X0] :
( empty(sK11(power_set(X0)))
| member(sK21(sK11(power_set(X0))),X0)
| sP1(power_set(X0)) ),
inference(resolution,[],[f476,f358]) ).
fof(f476,plain,
! [X0] :
( member(sK21(X0),X0)
| empty(X0) ),
inference(duplicate_literal_removal,[],[f473]) ).
fof(f473,plain,
! [X0] :
( member(sK21(X0),X0)
| empty(X0)
| empty(X0) ),
inference(resolution,[],[f472,f314]) ).
fof(f471,plain,
! [X0,X1] : domain_of(sK14(power_set(cross_product(X0,X1)))) = domain(X0,X1,sK14(power_set(cross_product(X0,X1)))),
inference(resolution,[],[f464,f302]) ).
fof(f470,plain,
! [X0,X1] : range_of(sK14(power_set(cross_product(X0,X1)))) = range(X0,X1,sK14(power_set(cross_product(X0,X1)))),
inference(resolution,[],[f464,f304]) ).
fof(f464,plain,
! [X0,X1] : ilf_type(sK14(power_set(cross_product(X0,X1))),relation_type(X0,X1)),
inference(resolution,[],[f461,f254]) ).
fof(f469,plain,
! [X0,X1] :
( sP1(power_set(cross_product(X0,X1)))
| ilf_type(sK11(power_set(cross_product(X0,X1))),relation_type(X0,X1)) ),
inference(resolution,[],[f454,f254]) ).
fof(f454,plain,
! [X0] :
( ilf_type(sK11(power_set(X0)),subset_type(X0))
| sP1(power_set(X0)) ),
inference(resolution,[],[f450,f173]) ).
fof(f463,plain,
! [X2,X0,X1] :
( ilf_type(X0,relation_type(X1,X2))
| ~ empty(X0) ),
inference(resolution,[],[f453,f254]) ).
fof(f466,plain,
! [X0,X1] : domain_of(cross_product(X0,X1)) = domain(X0,X1,cross_product(X0,X1)),
inference(resolution,[],[f462,f302]) ).
fof(f465,plain,
! [X0,X1] : range_of(cross_product(X0,X1)) = range(X0,X1,cross_product(X0,X1)),
inference(resolution,[],[f462,f304]) ).
fof(f462,plain,
! [X0,X1] : ilf_type(cross_product(X0,X1),relation_type(X0,X1)),
inference(resolution,[],[f452,f254]) ).
fof(f461,plain,
! [X0] : ilf_type(sK14(power_set(X0)),subset_type(X0)),
inference(subsumption_resolution,[],[f456,f236]) ).
fof(f456,plain,
! [X0] :
( ilf_type(sK14(power_set(X0)),subset_type(X0))
| empty(power_set(X0)) ),
inference(resolution,[],[f450,f238]) ).
fof(f453,plain,
! [X0,X1] :
( ilf_type(X0,subset_type(X1))
| ~ empty(X0) ),
inference(resolution,[],[f450,f347]) ).
fof(f452,plain,
! [X0] : ilf_type(X0,subset_type(X0)),
inference(resolution,[],[f450,f348]) ).
fof(f460,plain,
! [X0,X1] :
( ilf_type(sK5(X0,power_set(X1)),subset_type(X1))
| sP0(X0,power_set(X1)) ),
inference(resolution,[],[f450,f150]) ).
fof(f459,plain,
! [X0,X1] :
( ilf_type(sK18(power_set(X0),X1),subset_type(X0))
| member(power_set(X0),power_set(X1)) ),
inference(resolution,[],[f450,f279]) ).
fof(f458,plain,
! [X0,X1] :
( ilf_type(sK17(power_set(X0),X1),subset_type(X0))
| subset(power_set(X0),X1) ),
inference(resolution,[],[f450,f270]) ).
fof(f457,plain,
! [X0] :
( ilf_type(sK14(sK14(power_set(power_set(X0)))),subset_type(X0))
| empty(sK14(power_set(power_set(X0)))) ),
inference(resolution,[],[f450,f365]) ).
fof(f455,plain,
! [X0] :
( ilf_type(sK11(sK14(power_set(power_set(X0)))),subset_type(X0))
| sP1(sK14(power_set(power_set(X0)))) ),
inference(resolution,[],[f450,f364]) ).
fof(f450,plain,
! [X0,X1] :
( ~ member(X0,power_set(X1))
| ilf_type(X0,subset_type(X1)) ),
inference(resolution,[],[f449,f286]) ).
fof(f447,plain,
! [X0,X1] : ilf_type(range_of(sK19(X1,X0)),subset_type(X1)),
inference(subsumption_resolution,[],[f445,f310]) ).
fof(f445,plain,
! [X0,X1] :
( ilf_type(range_of(sK19(X1,X0)),subset_type(X1))
| ~ ilf_type(sK19(X1,X0),relation_type(X0,X1)) ),
inference(superposition,[],[f308,f431]) ).
fof(f449,plain,
! [X0,X1] :
( ilf_type(X0,member_type(X1))
| ~ member(X0,X1) ),
inference(subsumption_resolution,[],[f448,f330]) ).
fof(f448,plain,
! [X0,X1] :
( ilf_type(X0,member_type(X1))
| ~ member(X0,X1)
| empty(X1) ),
inference(subsumption_resolution,[],[f311,f157]) ).
fof(f443,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,[],[f308,f254]) ).
fof(f442,plain,
! [X2,X0,X1] : domain_of(domain_of(sK19(X0,cross_product(X1,X2)))) = domain(X1,X2,domain_of(sK19(X0,cross_product(X1,X2)))),
inference(resolution,[],[f440,f302]) ).
fof(f441,plain,
! [X2,X0,X1] : range_of(domain_of(sK19(X0,cross_product(X1,X2)))) = range(X1,X2,domain_of(sK19(X0,cross_product(X1,X2)))),
inference(resolution,[],[f440,f304]) ).
fof(f440,plain,
! [X2,X0,X1] : ilf_type(domain_of(sK19(X0,cross_product(X1,X2))),relation_type(X1,X2)),
inference(resolution,[],[f439,f254]) ).
fof(f439,plain,
! [X0,X1] : ilf_type(domain_of(sK19(X1,X0)),subset_type(X0)),
inference(subsumption_resolution,[],[f437,f310]) ).
fof(f437,plain,
! [X0,X1] :
( ilf_type(domain_of(sK19(X1,X0)),subset_type(X0))
| ~ ilf_type(sK19(X1,X0),relation_type(X0,X1)) ),
inference(superposition,[],[f306,f427]) ).
fof(f438,plain,
ilf_type(domain_of(sK9),subset_type(sK7)),
inference(subsumption_resolution,[],[f436,f154]) ).
fof(f436,plain,
( ilf_type(domain_of(sK9),subset_type(sK7))
| ~ ilf_type(sK9,relation_type(sK7,sK8)) ),
inference(superposition,[],[f306,f426]) ).
fof(f435,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,[],[f306,f254]) ).
fof(f431,plain,
! [X0,X1] : range_of(sK19(X0,X1)) = range(X1,X0,sK19(X0,X1)),
inference(resolution,[],[f304,f310]) ).
fof(f433,plain,
! [X0,X1] : range_of(sK21(power_set(cross_product(X0,X1)))) = range(X0,X1,sK21(power_set(cross_product(X0,X1)))),
inference(resolution,[],[f304,f413]) ).
fof(f432,plain,
! [X0,X1] : range_of(sK20(cross_product(X0,X1))) = range(X0,X1,sK20(cross_product(X0,X1))),
inference(resolution,[],[f304,f412]) ).
fof(f427,plain,
! [X0,X1] : domain_of(sK19(X0,X1)) = domain(X1,X0,sK19(X0,X1)),
inference(resolution,[],[f302,f310]) ).
fof(f426,plain,
domain_of(sK9) = domain(sK7,sK8,sK9),
inference(resolution,[],[f302,f154]) ).
fof(f429,plain,
! [X0,X1] : domain_of(sK21(power_set(cross_product(X0,X1)))) = domain(X0,X1,sK21(power_set(cross_product(X0,X1)))),
inference(resolution,[],[f302,f413]) ).
fof(f428,plain,
! [X0,X1] : domain_of(sK20(cross_product(X0,X1))) = domain(X0,X1,sK20(cross_product(X0,X1))),
inference(resolution,[],[f302,f412]) ).
fof(f425,plain,
! [X2,X0,X1] :
( member(X0,domain_of(power_set(X1)))
| ~ ilf_type(power_set(X1),binary_relation_type)
| ~ empty(ordered_pair(X0,X2)) ),
inference(resolution,[],[f292,f347]) ).
fof(f424,plain,
! [X0,X1] :
( member(X0,domain_of(power_set(ordered_pair(X0,X1))))
| ~ ilf_type(power_set(ordered_pair(X0,X1)),binary_relation_type) ),
inference(resolution,[],[f292,f348]) ).
fof(f423,plain,
! [X2,X0,X1] :
( member(X0,range_of(power_set(X1)))
| ~ ilf_type(power_set(X1),binary_relation_type)
| ~ empty(ordered_pair(X2,X0)) ),
inference(resolution,[],[f290,f347]) ).
fof(f422,plain,
! [X0,X1] :
( member(X0,range_of(power_set(ordered_pair(X1,X0))))
| ~ ilf_type(power_set(ordered_pair(X1,X0)),binary_relation_type) ),
inference(resolution,[],[f290,f348]) ).
fof(f421,plain,
! [X0,X1] :
( ~ empty(X0)
| sK14(power_set(X0)) = sK14(power_set(sK14(power_set(X1))))
| ~ empty(X1) ),
inference(resolution,[],[f401,f396]) ).
fof(f401,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ empty(X0)
| sK14(power_set(X0)) = sK14(power_set(X1)) ),
inference(resolution,[],[f399,f396]) ).
fof(f420,plain,
! [X0,X1] :
( member(sK5(X0,sK11(power_set(X1))),X1)
| sP1(power_set(X1))
| sP0(X0,sK11(power_set(X1))) ),
inference(resolution,[],[f358,f150]) ).
fof(f419,plain,
! [X0,X1] :
( member(sK18(sK11(power_set(X0)),X1),X0)
| sP1(power_set(X0))
| member(sK11(power_set(X0)),power_set(X1)) ),
inference(resolution,[],[f358,f279]) ).
fof(f418,plain,
! [X0,X1] :
( member(sK17(sK11(power_set(X0)),X1),X0)
| sP1(power_set(X0))
| subset(sK11(power_set(X0)),X1) ),
inference(resolution,[],[f358,f270]) ).
fof(f417,plain,
! [X0] :
( member(sK14(sK14(power_set(sK11(power_set(X0))))),X0)
| sP1(power_set(X0))
| empty(sK14(power_set(sK11(power_set(X0))))) ),
inference(resolution,[],[f358,f365]) ).
fof(f416,plain,
! [X0] :
( member(sK14(sK11(power_set(X0))),X0)
| sP1(power_set(X0))
| empty(sK11(power_set(X0))) ),
inference(resolution,[],[f358,f238]) ).
fof(f415,plain,
! [X0] :
( member(sK11(sK14(power_set(sK11(power_set(X0))))),X0)
| sP1(power_set(X0))
| sP1(sK14(power_set(sK11(power_set(X0))))) ),
inference(resolution,[],[f358,f364]) ).
fof(f414,plain,
! [X0] :
( member(sK11(sK11(power_set(X0))),X0)
| sP1(power_set(X0))
| sP1(sK11(power_set(X0))) ),
inference(resolution,[],[f358,f173]) ).
fof(f358,plain,
! [X0,X1] :
( ~ member(X0,sK11(power_set(X1)))
| member(X0,X1)
| sP1(power_set(X1)) ),
inference(resolution,[],[f284,f173]) ).
fof(f413,plain,
! [X0,X1] : ilf_type(sK21(power_set(cross_product(X0,X1))),relation_type(X0,X1)),
inference(resolution,[],[f254,f354]) ).
fof(f412,plain,
! [X0,X1] : ilf_type(sK20(cross_product(X0,X1)),relation_type(X0,X1)),
inference(resolution,[],[f254,f313]) ).
fof(f410,plain,
! [X0,X1] : unordered_pair(ordered_pair(X0,X1),singleton(singleton(X0))) = ordered_pair(singleton(X0),unordered_pair(X1,X0)),
inference(superposition,[],[f300,f380]) ).
fof(f409,plain,
! [X0,X1] : ordered_pair(unordered_pair(X1,X0),singleton(X0)) = unordered_pair(ordered_pair(X0,X1),singleton(unordered_pair(X1,X0))),
inference(superposition,[],[f369,f380]) ).
fof(f408,plain,
! [X0,X1] : unordered_pair(singleton(singleton(X0)),ordered_pair(X0,X1)) = ordered_pair(singleton(X0),unordered_pair(X1,X0)),
inference(superposition,[],[f372,f380]) ).
fof(f407,plain,
! [X0,X1] : ordered_pair(unordered_pair(X1,X0),singleton(X0)) = unordered_pair(singleton(unordered_pair(X1,X0)),ordered_pair(X0,X1)),
inference(superposition,[],[f380,f380]) ).
fof(f406,plain,
! [X0,X1] : ordered_pair(unordered_pair(X0,X1),singleton(X0)) = unordered_pair(singleton(unordered_pair(X0,X1)),ordered_pair(X0,X1)),
inference(superposition,[],[f380,f372]) ).
fof(f405,plain,
! [X0,X1] : ordered_pair(singleton(X1),unordered_pair(X0,X1)) = unordered_pair(singleton(singleton(X1)),ordered_pair(X1,X0)),
inference(superposition,[],[f380,f369]) ).
fof(f404,plain,
! [X0,X1] : ordered_pair(singleton(X0),unordered_pair(X0,X1)) = unordered_pair(singleton(singleton(X0)),ordered_pair(X0,X1)),
inference(superposition,[],[f380,f300]) ).
fof(f380,plain,
! [X0,X1] : ordered_pair(X1,X0) = unordered_pair(singleton(X1),unordered_pair(X0,X1)),
inference(superposition,[],[f369,f250]) ).
fof(f399,plain,
! [X0,X1] :
( ~ empty(X1)
| sK14(power_set(X0)) = X1
| ~ empty(X0) ),
inference(resolution,[],[f396,f343]) ).
fof(f396,plain,
! [X0] :
( empty(sK14(power_set(X0)))
| ~ empty(X0) ),
inference(resolution,[],[f365,f330]) ).
fof(f398,plain,
! [X0] :
( empty(sK14(power_set(sK14(power_set(X0)))))
| member(sK14(sK14(power_set(sK14(power_set(X0))))),X0) ),
inference(resolution,[],[f365,f363]) ).
fof(f397,plain,
! [X0,X1] :
( empty(sK14(power_set(power_set(X0))))
| ~ member(X1,sK14(sK14(power_set(power_set(X0)))))
| member(X1,X0) ),
inference(resolution,[],[f365,f284]) ).
fof(f365,plain,
! [X0] :
( member(sK14(sK14(power_set(X0))),X0)
| empty(sK14(power_set(X0))) ),
inference(resolution,[],[f363,f238]) ).
fof(f395,plain,
! [X0] :
( relation_like(sK14(power_set(X0)))
| ~ empty(X0) ),
inference(resolution,[],[f392,f319]) ).
fof(f392,plain,
! [X0] :
( sP1(sK14(power_set(X0)))
| ~ empty(X0) ),
inference(resolution,[],[f364,f330]) ).
fof(f394,plain,
! [X0] :
( sP1(sK14(power_set(sK14(power_set(X0)))))
| member(sK11(sK14(power_set(sK14(power_set(X0))))),X0) ),
inference(resolution,[],[f364,f363]) ).
fof(f393,plain,
! [X0,X1] :
( sP1(sK14(power_set(power_set(X0))))
| ~ member(X1,sK11(sK14(power_set(power_set(X0)))))
| member(X1,X0) ),
inference(resolution,[],[f364,f284]) ).
fof(f364,plain,
! [X0] :
( member(sK11(sK14(power_set(X0))),X0)
| sP1(sK14(power_set(X0))) ),
inference(resolution,[],[f363,f173]) ).
fof(f352,plain,
! [X0,X1] :
( ~ empty(sK18(X0,power_set(X1)))
| member(X0,power_set(power_set(X1))) ),
inference(resolution,[],[f347,f277]) ).
fof(f391,plain,
! [X0,X1] : ordered_pair(singleton(X0),unordered_pair(X0,X1)) = unordered_pair(ordered_pair(X0,X1),singleton(singleton(X0))),
inference(superposition,[],[f300,f372]) ).
fof(f390,plain,
! [X0,X1] : ordered_pair(unordered_pair(X0,X1),singleton(X0)) = unordered_pair(ordered_pair(X0,X1),singleton(unordered_pair(X0,X1))),
inference(superposition,[],[f369,f372]) ).
fof(f389,plain,
! [X0,X1] : ordered_pair(singleton(X0),unordered_pair(X0,X1)) = unordered_pair(singleton(singleton(X0)),ordered_pair(X0,X1)),
inference(superposition,[],[f372,f372]) ).
fof(f388,plain,
! [X0,X1] : ordered_pair(unordered_pair(X0,X1),singleton(X1)) = unordered_pair(singleton(unordered_pair(X0,X1)),ordered_pair(X1,X0)),
inference(superposition,[],[f372,f369]) ).
fof(f387,plain,
! [X0,X1] : ordered_pair(unordered_pair(X0,X1),singleton(X0)) = unordered_pair(singleton(unordered_pair(X0,X1)),ordered_pair(X0,X1)),
inference(superposition,[],[f372,f300]) ).
fof(f386,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton(X0),unordered_pair(X1,X0)),
inference(superposition,[],[f372,f250]) ).
fof(f385,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton(X0),unordered_pair(X1,X0)),
inference(superposition,[],[f372,f250]) ).
fof(f372,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton(X0),unordered_pair(X0,X1)),
inference(superposition,[],[f300,f250]) ).
fof(f384,plain,
! [X0,X1] : ordered_pair(X1,X0) = unordered_pair(singleton(X1),unordered_pair(X0,X1)),
inference(superposition,[],[f250,f369]) ).
fof(f383,plain,
! [X0,X1] : ordered_pair(X1,X0) = unordered_pair(singleton(X1),unordered_pair(X0,X1)),
inference(superposition,[],[f250,f369]) ).
fof(f382,plain,
! [X0,X1] : ordered_pair(unordered_pair(X0,X1),singleton(X1)) = unordered_pair(ordered_pair(X1,X0),singleton(unordered_pair(X0,X1))),
inference(superposition,[],[f300,f369]) ).
fof(f381,plain,
! [X0,X1] : ordered_pair(X1,X0) = unordered_pair(singleton(X1),unordered_pair(X0,X1)),
inference(superposition,[],[f369,f250]) ).
fof(f379,plain,
! [X0,X1] : ordered_pair(singleton(X1),unordered_pair(X0,X1)) = unordered_pair(ordered_pair(X1,X0),singleton(singleton(X1))),
inference(superposition,[],[f369,f369]) ).
fof(f378,plain,
! [X0,X1] : ordered_pair(singleton(X0),unordered_pair(X0,X1)) = unordered_pair(ordered_pair(X0,X1),singleton(singleton(X0))),
inference(superposition,[],[f369,f300]) ).
fof(f369,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X1,X0),singleton(X0)),
inference(superposition,[],[f300,f250]) ).
fof(f375,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton(X0),unordered_pair(X0,X1)),
inference(superposition,[],[f250,f300]) ).
fof(f374,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton(X0),unordered_pair(X0,X1)),
inference(superposition,[],[f250,f300]) ).
fof(f373,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton(X0),unordered_pair(X0,X1)),
inference(superposition,[],[f300,f250]) ).
fof(f371,plain,
! [X0,X1] : ordered_pair(unordered_pair(X0,X1),singleton(X0)) = unordered_pair(ordered_pair(X0,X1),singleton(unordered_pair(X0,X1))),
inference(superposition,[],[f300,f300]) ).
fof(f370,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X1,X0),singleton(X0)),
inference(superposition,[],[f300,f250]) ).
fof(f368,plain,
! [X0,X1] :
( member(sK5(X0,sK14(power_set(X1))),X1)
| sP0(X0,sK14(power_set(X1))) ),
inference(resolution,[],[f363,f150]) ).
fof(f367,plain,
! [X0,X1] :
( member(sK18(sK14(power_set(X0)),X1),X0)
| member(sK14(power_set(X0)),power_set(X1)) ),
inference(resolution,[],[f363,f279]) ).
fof(f366,plain,
! [X0,X1] :
( member(sK17(sK14(power_set(X0)),X1),X0)
| subset(sK14(power_set(X0)),X1) ),
inference(resolution,[],[f363,f270]) ).
fof(f363,plain,
! [X0,X1] :
( ~ member(X0,sK14(power_set(X1)))
| member(X0,X1) ),
inference(subsumption_resolution,[],[f359,f236]) ).
fof(f359,plain,
! [X0,X1] :
( ~ member(X0,sK14(power_set(X1)))
| member(X0,X1)
| empty(power_set(X1)) ),
inference(resolution,[],[f284,f238]) ).
fof(f351,plain,
! [X0,X1] :
( ~ empty(sK17(X0,power_set(X1)))
| subset(X0,power_set(X1)) ),
inference(resolution,[],[f347,f268]) ).
fof(f354,plain,
! [X0] : ilf_type(sK21(power_set(X0)),subset_type(X0)),
inference(subsumption_resolution,[],[f353,f236]) ).
fof(f353,plain,
! [X0] :
( ilf_type(sK21(power_set(X0)),subset_type(X0))
| empty(power_set(X0)) ),
inference(resolution,[],[f286,f314]) ).
fof(f347,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ~ empty(X0) ),
inference(resolution,[],[f279,f330]) ).
fof(f348,plain,
! [X0] : member(X0,power_set(X0)),
inference(duplicate_literal_removal,[],[f346]) ).
fof(f346,plain,
! [X0] :
( member(X0,power_set(X0))
| member(X0,power_set(X0)) ),
inference(resolution,[],[f279,f277]) ).
fof(f343,plain,
! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) ),
inference(resolution,[],[f341,f337]) ).
fof(f341,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| X0 = X1
| ~ empty(X1) ),
inference(resolution,[],[f262,f337]) ).
fof(f339,plain,
! [X0,X1] :
( ~ sP3(X1,X0)
| X0 = X1 ),
inference(subsumption_resolution,[],[f195,f266]) ).
fof(f337,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ empty(X0) ),
inference(resolution,[],[f270,f330]) ).
fof(f338,plain,
! [X0] : subset(X0,X0),
inference(duplicate_literal_removal,[],[f336]) ).
fof(f336,plain,
! [X0] :
( subset(X0,X0)
| subset(X0,X0) ),
inference(resolution,[],[f270,f268]) ).
fof(f333,plain,
! [X0,X1] :
( sP0(X1,X0)
| ~ empty(X0) ),
inference(resolution,[],[f330,f150]) ).
fof(f331,plain,
! [X0] :
( sP1(X0)
| ~ empty(X0) ),
inference(resolution,[],[f330,f173]) ).
fof(f330,plain,
! [X2,X0] :
( ~ member(X2,X0)
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f240,f157]) ).
fof(f314,plain,
! [X0] :
( ilf_type(sK21(X0),member_type(X0))
| empty(X0) ),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f250,f187,f251,f252,f186,f253,f254,f190,f255,f256,f189,f257,f258,f188,f259,f260,f193,f261,f262,f195,f200,f199,f198,f197,f263,f196,f264,f201,f265,f266,f205,f267,f268,f204,f269,f270,f203,f271,f272,f202,f273,f274,f275,f209,f276,f277,f208,f278,f279,f207,f280,f281,f206,f282,f283,f284,f211,f285,f286,f210,f287,f288,f213,f289,f290,f212,f291,f292,f231,f293,f294,f295,f296,f232,f297,f298,f299,f300,f216,f301,f302,f217,f303,f304,f218,f305,f306,f219,f307,f308,f220,f221,f309,f310,f223,f311,f222,f312,f224,f313,f225]) ).
fof(f319,plain,
! [X0] :
( ~ sP1(X0)
| relation_like(X0) ),
inference(subsumption_resolution,[],[f168,f237]) ).
fof(f318,plain,
! [X0] :
( sP1(X0)
| ~ relation_like(X0) ),
inference(subsumption_resolution,[],[f167,f237]) ).
fof(f313,plain,
! [X0] : ilf_type(sK20(X0),subset_type(X0)),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f250,f187,f251,f252,f186,f253,f254,f190,f255,f256,f189,f257,f258,f188,f259,f260,f193,f261,f262,f195,f200,f199,f198,f197,f263,f196,f264,f201,f265,f266,f205,f267,f268,f204,f269,f270,f203,f271,f272,f202,f273,f274,f275,f209,f276,f277,f208,f278,f279,f207,f280,f281,f206,f282,f283,f284,f211,f285,f286,f210,f287,f288,f213,f289,f290,f212,f291,f292,f231,f293,f294,f295,f296,f232,f297,f298,f299,f300,f216,f301,f302,f217,f303,f304,f218,f305,f306,f219,f307,f308,f220,f221,f309,f310,f223,f311,f222,f312,f224]) ).
fof(f316,plain,
relation_like(sK22),
inference(resolution,[],[f242,f227]) ).
fof(f315,plain,
! [X0] :
( ~ empty(X0)
| relation_like(X0) ),
inference(global_subsumption,[],[f151,f150,f149,f148,f147,f156,f155,f154,f153,f152,f157,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f236,f168,f167,f174,f173,f172,f171,f170,f169,f175,f237,f178,f238,f177,f239,f176,f240,f233,f241,f179,f242,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f250,f187,f251,f252,f186,f253,f254,f190,f255,f256,f189,f257,f258,f188,f259,f260,f193,f261,f262,f195,f200,f199,f198,f197,f263,f196,f264,f201,f265,f266,f205,f267,f268,f204,f269,f270,f203,f271,f272,f202,f273,f274,f275,f209,f276,f277,f208,f278,f279,f207,f280,f281,f206,f282,f283,f284,f211,f285,f286,f210,f287,f288,f213,f289,f290,f212,f291,f292,f231,f293,f294,f295,f296,f232,f297,f298,f299,f300,f216,f301,f302,f217,f303,f304,f218,f305,f306,f219,f307,f308,f220,f221,f309,f310,f223,f311,f222,f312,f224,f313,f225,f314,f226]) ).
fof(f227,plain,
ilf_type(sK22,binary_relation_type),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
ilf_type(sK22,binary_relation_type),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f16,f145]) ).
fof(f145,plain,
( ? [X0] : ilf_type(X0,binary_relation_type)
=> ilf_type(sK22,binary_relation_type) ),
introduced(choice_axiom,[]) ).
fof(f16,axiom,
? [X0] : ilf_type(X0,binary_relation_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16) ).
fof(f226,plain,
! [X0] :
( relation_like(X0)
| ~ ilf_type(X0,set_type)
| ~ empty(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0] :
( relation_like(X0)
| ~ ilf_type(X0,set_type)
| ~ empty(X0) ),
inference(flattening,[],[f78]) ).
fof(f78,plain,
! [X0] :
( relation_like(X0)
| ~ ilf_type(X0,set_type)
| ~ empty(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] :
( ( ilf_type(X0,set_type)
& empty(X0) )
=> relation_like(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p29) ).
fof(f225,plain,
! [X0] :
( ilf_type(sK21(X0),member_type(X0))
| ~ ilf_type(X0,set_type)
| empty(X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
! [X0] :
( ilf_type(sK21(X0),member_type(X0))
| ~ ilf_type(X0,set_type)
| empty(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f77,f143]) ).
fof(f143,plain,
! [X0] :
( ? [X1] : ilf_type(X1,member_type(X0))
=> ilf_type(sK21(X0),member_type(X0)) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
! [X0] :
( ? [X1] : ilf_type(X1,member_type(X0))
| ~ ilf_type(X0,set_type)
| empty(X0) ),
inference(flattening,[],[f76]) ).
fof(f76,plain,
! [X0] :
( ? [X1] : ilf_type(X1,member_type(X0))
| ~ ilf_type(X0,set_type)
| empty(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0] :
( ( ilf_type(X0,set_type)
& ~ empty(X0) )
=> ? [X1] : ilf_type(X1,member_type(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25) ).
fof(f224,plain,
! [X0] :
( ilf_type(sK20(X0),subset_type(X0))
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0] :
( ilf_type(sK20(X0),subset_type(X0))
| ~ ilf_type(X0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f75,f141]) ).
fof(f141,plain,
! [X0] :
( ? [X1] : ilf_type(X1,subset_type(X0))
=> ilf_type(sK20(X0),subset_type(X0)) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
! [X0] :
( ? [X1] : ilf_type(X1,subset_type(X0))
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ? [X1] : ilf_type(X1,subset_type(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18) ).
fof(f1612,plain,
( ~ sP1(range_of(sK9))
| spl23_27 ),
inference(avatar_component_clause,[],[f1611]) ).
fof(f1611,plain,
( spl23_27
<=> sP1(range_of(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_27])]) ).
fof(f2111,plain,
( ~ spl23_28
| ~ spl23_29
| spl23_31 ),
inference(avatar_contradiction_clause,[],[f2110]) ).
fof(f2110,plain,
( $false
| ~ spl23_28
| ~ spl23_29
| spl23_31 ),
inference(global_subsumption,[],[f1617,f151,f149,f148,f147,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f168,f167,f174,f172,f171,f170,f169,f175,f178,f177,f239,f176,f240,f233,f179,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f187,f251,f186,f253,f190,f255,f189,f257,f188,f259,f260,f193,f261,f195,f198,f197,f196,f201,f265,f205,f267,f204,f269,f203,f271,f272,f202,f273,f274,f209,f276,f208,f278,f207,f280,f281,f206,f282,f283,f211,f285,f210,f287,f213,f289,f212,f291,f231,f293,f294,f295,f296,f232,f297,f298,f299,f216,f301,f217,f303,f218,f305,f219,f307,f220,f221,f309,f223,f311,f222,f312,f224,f225,f226,f237,f152,f153,f157,f227,f236,f266,f154,f315,f241,f242,f316,f313,f318,f319,f173,f238,f155,f250,f310,f314,f150,f330,f331,f333,f268,f270,f338,f337,f339,f262,f341,f343,f263,f264,f275,f277,f279,f348,f347,f286,f354,f288,f351,f284,f363,f366,f367,f368,f300,f370,f371,f373,f374,f375,f369,f378,f379,f381,f382,f383,f384,f372,f385,f386,f387,f388,f389,f390,f391,f252,f352,f364,f393,f394,f392,f395,f365,f397,f398,f396,f399,f380,f404,f405,f406,f407,f408,f409,f410,f254,f412,f413,f358,f414,f415,f416,f417,f418,f419,f420,f401,f421,f290,f422,f423,f292,f424,f425,f302,f428,f429,f426,f427,f304,f432,f433,f431,f306,f435,f438,f439,f440,f441,f442,f308,f443,f449,f447,f450,f455,f457,f458,f459,f460,f452,f453,f461,f462,f465,f466,f463,f454,f469,f464,f470,f471,f472,f476,f481,f477,f487,f488,f489,f490,f483,f492,f494,f495,f496,f497,f498,f467,f499,f468,f500,f482,f502,f503,f504,f505,f506,f485,f509,f515,f517,f518,f520,f522,f539,f572,f573,f512,f576,f578,f579,f580,f582,f583,f524,f586,f585,f589,f528,f199,f611,f612,f613,f614,f615,f616,f617,f619,f620,f621,f622,f623,f624,f625,f626,f631,f632,f633,f634,f635,f636,f637,f630,f575,f643,f644,f645,f646,f647,f648,f641,f649,f642,f200,f669,f670,f674,f577,f680,f681,f682,f683,f684,f685,f678,f688,f689,f690,f691,f256,f729,f730,f581,f755,f756,f757,f758,f759,f760,f687,f764,f525,f769,f258,f785,f786,f787,f788,f789,f790,f791,f794,f795,f796,f797,f798,f799,f800,f508,f840,f841,f842,f843,f844,f845,f846,f847,f849,f850,f851,f852,f853,f854,f855,f856,f514,f857,f858,f859,f860,f861,f862,f863,f864,f866,f867,f868,f869,f870,f871,f872,f873,f766,f874,f876,f527,f754,f526,f679,f918,f521,f946,f951,f956,f948,f953,f954,f952,f947,f959,f961,f963,f949,f955,f523,f1003,f1052,f1053,f1054,f1055,f1056,f1058,f1059,f1060,f1061,f1062,f1063,f1064,f1065,f1067,f1068,f1069,f1070,f1075,f1076,f1080,f1081,f1079,f1084,f610,f1099,f1101,f1103,f1104,f1105,f1106,f1107,f1108,f1109,f1100,f1102,f1115,f618,f1119,f1121,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1122,f1131,f784,f1135,f1137,f1139,f1140,f1141,f1142,f1143,f1144,f1145,f1138,f1148,f793,f1152,f1154,f1156,f1157,f1158,f1159,f1160,f1161,f1162,f1155,f1164,f1066,f1167,f451,f1169,f1170,f491,f1173,f1175,f1176,f1177,f1178,f1179,f1180,f1181,f1172,f1182,f1183,f1184,f1133,f1174,f493,f1204,f1206,f1208,f1209,f1210,f1211,f1212,f1213,f1214,f1205,f1217,f1218,f1219,f1220,f1221,f1222,f1216,f1265,f1267,f1268,f1207,f1262,f1310,f1325,f1311,f1314,f1315,f1316,f1317,f1318,f1319,f1320,f1321,f1322,f1326,f1327,f1337,f1338,f1339,f1343,f1344,f1345,f1347,f1348,f1349,f1350,f1328,f1332,f1362,f1363,f1364,f1365,f1366,f1367,f1368,f1369,f1382,f1360,f1341,f1394,f1395,f1346,f1330,f1334,f1401,f1402,f1403,f1404,f1405,f1406,f1407,f1408,f1421,f1399,f1342,f1440,f1329,f1333,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f1465,f1438,f1477,f1331,f1335,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1502,f1443,f1480,f1336,f1557,f1558,f1560,f1561,f1562,f1563,f1564,f1309,f1568,f1569,f156,f430,f1584,f1585,f1586,f1588,f1589,f1590,f1592,f1593,f1594,f1595,f1596,f1597,f1598,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1587,f1591,f1630,f1639,f1640,f1642,f1643,f1637,f1670,f1672,f1677,f1665,f1683,f1687,f1680,f1688,f360,f1729,f1730,f1731,f1732,f1733,f1734,f1735,f1736,f1737,f1738,f1739,f1740,f1741,f1743,f1744,f1745,f1746,f1747,f1748,f1749,f1750,f1751,f1752,f1675,f1774,f1776,f1778,f1780,f1781,f1782,f362,f1820,f1821,f1822,f1823,f1824,f1825,f1826,f1827,f1828,f1829,f1830,f1831,f1832,f1834,f1835,f1836,f1837,f1838,f1839,f1840,f1841,f1842,f1843,f1638,f1844,f1846,f1848,f1850,f1851,f1852,f1656,f1854,f1856,f1858,f1859,f1860,f1861,f1862,f1676,f1864,f1866,f1868,f1869,f1870,f1871,f1872,f1679,f1876,f1878,f1880,f1881,f1882,f1883,f1884,f1684,f1889,f1891,f1893,f1894,f1895,f1896,f1897,f1324,f1902,f1903,f1904,f1905,f1779,f1965,f1967,f1969,f1970,f1971,f1972,f1973,f1978,f1979,f1641,f1980,f361,f1981,f1982,f1983,f1984,f1985,f1986,f1987,f1988,f1989,f1990,f1991,f1992,f1993,f1995,f1996,f1997,f1998,f1999,f2000,f2001,f2002,f2003,f2004,f1674,f2006,f2008,f2010,f2011,f2012,f2013,f2014,f1678,f2018,f2020,f2022,f2023,f2024,f2025,f2026,f1681,f2030,f2032,f2034,f2035,f2036,f2037,f2038,f1685,f2042,f2044,f2046,f2047,f2048,f2049,f2050,f1686,f2056,f2058,f2060,f2061,f2062,f2063,f2064,f1849,f2068,f2070,f2072,f2073,f2074,f2075,f2076,f1706,f950,f2093,f2086,f2094,f1636]) ).
fof(f1617,plain,
( member(sK11(range_of(sK9)),sK8)
| ~ spl23_28 ),
inference(avatar_component_clause,[],[f1615]) ).
fof(f1615,plain,
( spl23_28
<=> member(sK11(range_of(sK9)),sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_28])]) ).
fof(f2109,plain,
( ~ spl23_29
| spl23_31 ),
inference(avatar_contradiction_clause,[],[f2108]) ).
fof(f2108,plain,
( $false
| ~ spl23_29
| spl23_31 ),
inference(global_subsumption,[],[f151,f149,f148,f147,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f168,f167,f174,f172,f171,f170,f169,f175,f178,f177,f239,f176,f240,f233,f179,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f187,f251,f186,f253,f190,f255,f189,f257,f188,f259,f260,f193,f261,f195,f198,f197,f196,f201,f265,f205,f267,f204,f269,f203,f271,f272,f202,f273,f274,f209,f276,f208,f278,f207,f280,f281,f206,f282,f283,f211,f285,f210,f287,f213,f289,f212,f291,f231,f293,f294,f295,f296,f232,f297,f298,f299,f216,f301,f217,f303,f218,f305,f219,f307,f220,f221,f309,f223,f311,f222,f312,f224,f225,f226,f237,f152,f153,f157,f227,f236,f266,f154,f315,f241,f242,f316,f313,f318,f319,f173,f238,f155,f250,f310,f314,f150,f330,f331,f333,f268,f270,f338,f337,f339,f262,f341,f343,f263,f264,f275,f277,f279,f348,f347,f286,f354,f288,f351,f284,f363,f366,f367,f368,f300,f370,f371,f373,f374,f375,f369,f378,f379,f381,f382,f383,f384,f372,f385,f386,f387,f388,f389,f390,f391,f252,f352,f364,f393,f394,f392,f395,f365,f397,f398,f396,f399,f380,f404,f405,f406,f407,f408,f409,f410,f254,f412,f413,f358,f414,f415,f416,f417,f418,f419,f420,f401,f421,f290,f422,f423,f292,f424,f425,f302,f428,f429,f426,f427,f304,f432,f433,f431,f306,f435,f438,f439,f440,f441,f442,f308,f443,f449,f447,f450,f455,f457,f458,f459,f460,f452,f453,f461,f462,f465,f466,f463,f454,f469,f464,f470,f471,f472,f476,f481,f477,f487,f488,f489,f490,f483,f492,f494,f495,f496,f497,f498,f467,f499,f468,f500,f482,f502,f503,f504,f505,f506,f485,f509,f515,f517,f518,f520,f522,f539,f572,f573,f512,f576,f578,f579,f580,f582,f583,f524,f586,f585,f589,f528,f199,f611,f612,f613,f614,f615,f616,f617,f619,f620,f621,f622,f623,f624,f625,f626,f631,f632,f633,f634,f635,f636,f637,f630,f575,f643,f644,f645,f646,f647,f648,f641,f649,f642,f200,f669,f670,f674,f577,f680,f681,f682,f683,f684,f685,f678,f688,f689,f690,f691,f256,f729,f730,f581,f755,f756,f757,f758,f759,f760,f687,f764,f525,f769,f258,f785,f786,f787,f788,f789,f790,f791,f794,f795,f796,f797,f798,f799,f800,f508,f840,f841,f842,f843,f844,f845,f846,f847,f849,f850,f851,f852,f853,f854,f855,f856,f514,f857,f858,f859,f860,f861,f862,f863,f864,f866,f867,f868,f869,f870,f871,f872,f873,f766,f874,f876,f527,f754,f526,f679,f918,f521,f946,f951,f956,f948,f953,f954,f952,f947,f959,f961,f963,f949,f955,f523,f1003,f1052,f1053,f1054,f1055,f1056,f1058,f1059,f1060,f1061,f1062,f1063,f1064,f1065,f1067,f1068,f1069,f1070,f1075,f1076,f1080,f1081,f1079,f1084,f610,f1099,f1101,f1103,f1104,f1105,f1106,f1107,f1108,f1109,f1100,f1102,f1115,f618,f1119,f1121,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1122,f1131,f784,f1135,f1137,f1139,f1140,f1141,f1142,f1143,f1144,f1145,f1138,f1148,f793,f1152,f1154,f1156,f1157,f1158,f1159,f1160,f1161,f1162,f1155,f1164,f1066,f1167,f451,f1169,f1170,f491,f1173,f1175,f1176,f1177,f1178,f1179,f1180,f1181,f1172,f1182,f1183,f1184,f1133,f1174,f493,f1204,f1206,f1208,f1209,f1210,f1211,f1212,f1213,f1214,f1205,f1217,f1218,f1219,f1220,f1221,f1222,f1216,f1265,f1267,f1268,f1207,f1262,f1310,f1325,f1311,f1314,f1315,f1316,f1317,f1318,f1319,f1320,f1321,f1322,f1326,f1327,f1337,f1338,f1339,f1343,f1344,f1345,f1347,f1348,f1349,f1350,f1328,f1332,f1362,f1363,f1364,f1365,f1366,f1367,f1368,f1369,f1382,f1360,f1341,f1394,f1395,f1346,f1330,f1334,f1401,f1402,f1403,f1404,f1405,f1406,f1407,f1408,f1421,f1399,f1342,f1440,f1329,f1333,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f1465,f1438,f1477,f1331,f1335,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1502,f1443,f1480,f1336,f1557,f1558,f1560,f1561,f1562,f1563,f1564,f1309,f1568,f1569,f156,f430,f1584,f1585,f1586,f1588,f1589,f1590,f1592,f1593,f1594,f1595,f1596,f1597,f1598,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1587,f1591,f1630,f1639,f1640,f1642,f1643,f1637,f1670,f1672,f1677,f1665,f1683,f1687,f1680,f1688,f360,f1729,f1730,f1731,f1732,f1733,f1734,f1735,f1736,f1737,f1738,f1739,f1740,f1741,f1743,f1744,f1745,f1746,f1747,f1748,f1749,f1750,f1751,f1752,f1675,f1774,f1776,f1778,f1780,f1781,f1782,f362,f1820,f1821,f1822,f1823,f1824,f1825,f1826,f1827,f1828,f1829,f1830,f1831,f1832,f1834,f1835,f1836,f1837,f1838,f1839,f1840,f1841,f1842,f1843,f1638,f1844,f1846,f1848,f1850,f1851,f1852,f1656,f1854,f1856,f1858,f1859,f1860,f1861,f1862,f1676,f1864,f1866,f1868,f1869,f1870,f1871,f1872,f1679,f1876,f1878,f1880,f1881,f1882,f1883,f1884,f1684,f1889,f1891,f1893,f1894,f1895,f1896,f1897,f1324,f1902,f1903,f1904,f1905,f1779,f1965,f1967,f1969,f1970,f1971,f1972,f1973,f1978,f1979,f1641,f1980,f361,f1981,f1982,f1983,f1984,f1985,f1986,f1987,f1988,f1989,f1990,f1991,f1992,f1993,f1995,f1996,f1997,f1998,f1999,f2000,f2001,f2002,f2003,f2004,f1674,f2006,f2008,f2010,f2011,f2012,f2013,f2014,f1678,f2018,f2020,f2022,f2023,f2024,f2025,f2026,f1681,f2030,f2032,f2034,f2035,f2036,f2037,f2038,f1685,f2042,f2044,f2046,f2047,f2048,f2049,f2050,f1686,f2056,f2058,f2060,f2061,f2062,f2063,f2064,f1849,f2068,f2070,f2072,f2073,f2074,f2075,f2076,f1706,f950,f2093,f2086,f2094,f1636]) ).
fof(f2107,plain,
( ~ spl23_17
| ~ spl23_19
| ~ spl23_29
| spl23_31 ),
inference(avatar_contradiction_clause,[],[f2106]) ).
fof(f2106,plain,
( $false
| ~ spl23_17
| ~ spl23_19
| ~ spl23_29
| spl23_31 ),
inference(global_subsumption,[],[f151,f149,f148,f147,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f168,f167,f174,f172,f171,f170,f169,f175,f178,f177,f239,f176,f240,f233,f179,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f187,f251,f186,f253,f190,f255,f189,f257,f188,f259,f260,f193,f261,f195,f198,f197,f196,f201,f265,f205,f267,f204,f269,f203,f271,f272,f202,f273,f274,f209,f276,f208,f278,f207,f280,f281,f206,f282,f283,f211,f285,f210,f287,f213,f289,f212,f291,f231,f293,f294,f295,f296,f232,f297,f298,f299,f216,f301,f217,f303,f218,f305,f219,f307,f220,f221,f309,f223,f311,f222,f312,f224,f225,f226,f237,f152,f153,f157,f227,f236,f266,f154,f315,f241,f242,f316,f313,f318,f319,f173,f238,f155,f250,f310,f314,f150,f330,f331,f333,f268,f270,f338,f337,f339,f262,f341,f343,f263,f264,f275,f277,f279,f348,f347,f286,f354,f288,f351,f284,f363,f366,f367,f368,f300,f370,f371,f373,f374,f375,f369,f378,f379,f381,f382,f383,f384,f372,f385,f386,f387,f388,f389,f390,f391,f252,f352,f364,f393,f394,f392,f395,f365,f397,f398,f396,f399,f380,f404,f405,f406,f407,f408,f409,f410,f254,f412,f413,f358,f414,f415,f416,f417,f418,f419,f420,f401,f421,f290,f422,f423,f292,f424,f425,f302,f428,f429,f426,f427,f304,f432,f433,f431,f306,f435,f438,f439,f440,f441,f442,f308,f443,f449,f447,f450,f455,f457,f458,f459,f460,f452,f453,f461,f462,f465,f466,f463,f454,f469,f464,f470,f471,f472,f476,f481,f477,f487,f488,f489,f490,f483,f492,f494,f495,f496,f497,f498,f467,f499,f468,f500,f482,f502,f503,f504,f505,f506,f485,f509,f515,f517,f518,f520,f522,f539,f572,f573,f512,f576,f578,f579,f580,f582,f583,f524,f586,f585,f589,f528,f199,f611,f612,f613,f614,f615,f616,f617,f619,f620,f621,f622,f623,f624,f625,f626,f631,f632,f633,f634,f635,f636,f637,f630,f575,f643,f644,f645,f646,f647,f648,f641,f649,f642,f200,f669,f670,f674,f577,f680,f681,f682,f683,f684,f685,f678,f688,f689,f690,f691,f256,f729,f730,f581,f755,f756,f757,f758,f759,f760,f687,f764,f525,f769,f258,f785,f786,f787,f788,f789,f790,f791,f794,f795,f796,f797,f798,f799,f800,f508,f840,f841,f842,f843,f844,f845,f846,f847,f849,f850,f851,f852,f853,f854,f855,f856,f514,f857,f858,f859,f860,f861,f862,f863,f864,f866,f867,f868,f869,f870,f871,f872,f873,f766,f874,f876,f527,f754,f526,f679,f918,f521,f938,f944,f946,f951,f956,f948,f953,f954,f952,f947,f959,f961,f963,f949,f955,f523,f969,f978,f979,f980,f981,f982,f976,f983,f985,f977,f987,f988,f990,f991,f1021,f986,f1025,f1006,f1029,f989,f1035,f1037,f1023,f1039,f1041,f1004,f1044,f1046,f1003,f1052,f1053,f1054,f1055,f1056,f1058,f1059,f1060,f1061,f1062,f1063,f1064,f1065,f1067,f1068,f1069,f1070,f1075,f1076,f1080,f1081,f1079,f1084,f1027,f1087,f1089,f1031,f1092,f1094,f610,f1099,f1101,f1103,f1104,f1105,f1106,f1107,f1108,f1109,f1100,f1102,f1115,f618,f1119,f1121,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1122,f1131,f784,f1135,f1137,f1139,f1140,f1141,f1142,f1143,f1144,f1145,f1138,f1148,f793,f1152,f1154,f1156,f1157,f1158,f1159,f1160,f1161,f1162,f1155,f1164,f1066,f1167,f451,f1169,f1170,f491,f1173,f1175,f1176,f1177,f1178,f1179,f1180,f1181,f1172,f1182,f1183,f1184,f1133,f1174,f493,f1204,f1206,f1208,f1209,f1210,f1211,f1212,f1213,f1214,f1205,f1217,f1218,f1219,f1220,f1221,f1222,f1226,f1228,f1229,f1230,f1231,f1232,f1233,f1234,f1223,f1225,f1239,f1240,f1242,f1236,f1237,f1257,f1259,f1260,f1256,f1216,f1265,f1267,f1268,f1207,f1224,f1281,f1283,f1284,f1235,f1286,f1288,f1289,f1238,f1291,f1293,f1294,f1227,f1296,f1298,f1299,f1241,f1303,f1305,f1306,f1262,f1310,f1325,f1311,f1314,f1315,f1316,f1317,f1318,f1319,f1320,f1321,f1322,f1326,f1327,f1337,f1338,f1339,f1343,f1344,f1345,f1347,f1348,f1349,f1350,f1328,f1332,f1362,f1363,f1364,f1365,f1366,f1367,f1368,f1369,f1371,f1372,f1373,f1374,f1375,f1376,f1377,f1378,f1379,f1380,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1388,f1389,f1390,f1360,f1341,f1394,f1395,f1346,f1330,f1334,f1401,f1402,f1403,f1404,f1405,f1406,f1407,f1408,f1410,f1411,f1412,f1413,f1414,f1415,f1416,f1417,f1418,f1419,f1420,f1421,f1422,f1423,f1424,f1425,f1426,f1427,f1428,f1429,f1399,f1370,f1433,f1436,f1437,f1342,f1440,f1329,f1333,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f1453,f1454,f1455,f1456,f1457,f1458,f1459,f1460,f1461,f1462,f1463,f1464,f1465,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1474,f1438,f1477,f1331,f1335,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1490,f1491,f1492,f1493,f1494,f1495,f1496,f1497,f1498,f1499,f1500,f1501,f1502,f1503,f1504,f1505,f1506,f1507,f1508,f1509,f1510,f1511,f1443,f1480,f1409,f1515,f1516,f1517,f1518,f1519,f1520,f1521,f1522,f1432,f1523,f1524,f1525,f1526,f1527,f1528,f1529,f1530,f1434,f1435,f1548,f1549,f1551,f1552,f1553,f1554,f1555,f1336,f1557,f1558,f1560,f1561,f1562,f1563,f1564,f1309,f1567,f1568,f1569,f1571,f156,f430,f1584,f1585,f1586,f1588,f1589,f1590,f1592,f1593,f1594,f1595,f1596,f1597,f1598,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1587,f1591,f1630,f1639,f1640,f1642,f1643,f1645,f1646,f1647,f1648,f1649,f1650,f1651,f1652,f1653,f1654,f1655,f1657,f1658,f1659,f1660,f1661,f1662,f1663,f1664,f1666,f1667,f1668,f1669,f1637,f1670,f1672,f1673,f1677,f1665,f1682,f1683,f1687,f1680,f1688,f1644,f360,f1729,f1730,f1731,f1732,f1733,f1734,f1735,f1736,f1737,f1738,f1739,f1740,f1741,f1743,f1744,f1745,f1746,f1747,f1748,f1749,f1750,f1751,f1752,f1723,f1753,f1728,f1755,f1756,f1712,f1675,f1774,f1776,f1778,f1780,f1781,f1782,f1713,f1714,f1817,f1715,f362,f1820,f1821,f1822,f1823,f1824,f1825,f1826,f1827,f1828,f1829,f1830,f1831,f1832,f1834,f1835,f1836,f1837,f1838,f1839,f1840,f1841,f1842,f1843,f1638,f1844,f1846,f1848,f1850,f1851,f1852,f1656,f1854,f1856,f1858,f1859,f1860,f1861,f1862,f1676,f1864,f1866,f1868,f1869,f1870,f1871,f1872,f1679,f1876,f1878,f1880,f1881,f1882,f1883,f1884,f1684,f1889,f1891,f1893,f1894,f1895,f1896,f1897,f1324,f1902,f1903,f1904,f1905,f1717,f1910,f1911,f1912,f1913,f1914,f1915,f1916,f1907,f1942,f1928,f1929,f1930,f1932,f1933,f1937,f1938,f1939,f1941,f1779,f1965,f1967,f1969,f1970,f1971,f1972,f1973,f1978,f1979,f1641,f1980,f361,f1981,f1982,f1983,f1984,f1985,f1986,f1987,f1988,f1989,f1990,f1991,f1992,f1993,f1995,f1996,f1997,f1998,f1999,f2000,f2001,f2002,f2003,f2004,f1674,f2006,f2008,f2010,f2011,f2012,f2013,f2014,f1678,f2018,f2020,f2022,f2023,f2024,f2025,f2026,f1681,f2030,f2032,f2034,f2035,f2036,f2037,f2038,f1685,f2042,f2044,f2046,f2047,f2048,f2049,f2050,f1686,f2056,f2058,f2060,f2061,f2062,f2063,f2064,f1849,f2068,f2070,f2072,f2073,f2074,f2075,f2076,f1706,f950,f2093,f2086,f2094,f1709,f1707]) ).
fof(f1707,plain,
( sP1(range_of(sK9))
| ~ spl23_17
| ~ spl23_19
| ~ spl23_29 ),
inference(superposition,[],[f938,f1644]) ).
fof(f1709,plain,
( relation_like(range_of(sK9))
| ~ spl23_17
| ~ spl23_19
| ~ spl23_29 ),
inference(superposition,[],[f944,f1644]) ).
fof(f1941,plain,
( ! [X0] :
( member(sK15(X0,range_of(sK9)),sK7)
| member(sK15(X0,range_of(sK9)),X0)
| range_of(sK9) = X0 )
| ~ spl23_19
| ~ spl23_29 ),
inference(resolution,[],[f1907,f258]) ).
fof(f1939,plain,
( ! [X0] :
( member(sK16(X0,range_of(sK9)),sK7)
| member(sK16(X0,range_of(sK9)),X0)
| sP3(X0,range_of(sK9)) )
| ~ spl23_19
| ~ spl23_29 ),
inference(resolution,[],[f1907,f199]) ).
fof(f1938,plain,
( ! [X0] :
( member(sK16(X0,range_of(sK9)),sK7)
| sP3(X0,range_of(sK9))
| ~ empty(X0) )
| ~ spl23_19
| ~ spl23_29 ),
inference(resolution,[],[f1907,f618]) ).
fof(f1937,plain,
( ! [X0] :
( member(sK5(X0,range_of(sK9)),sK7)
| sP0(X0,range_of(sK9)) )
| ~ spl23_19
| ~ spl23_29 ),
inference(resolution,[],[f1907,f150]) ).
fof(f1933,plain,
( ! [X0] :
( member(sK18(range_of(sK9),X0),sK7)
| member(range_of(sK9),power_set(X0)) )
| ~ spl23_19
| ~ spl23_29 ),
inference(resolution,[],[f1907,f279]) ).
fof(f1932,plain,
( ! [X0] :
( member(sK17(range_of(sK9),X0),sK7)
| subset(range_of(sK9),X0) )
| ~ spl23_19
| ~ spl23_29 ),
inference(resolution,[],[f1907,f270]) ).
fof(f1930,plain,
( ! [X0] :
( member(sK16(range_of(sK9),X0),sK7)
| member(sK16(range_of(sK9),X0),X0)
| sP3(range_of(sK9),X0) )
| ~ spl23_19
| ~ spl23_29 ),
inference(resolution,[],[f1907,f199]) ).
fof(f1929,plain,
( ! [X0] :
( member(sK16(range_of(sK9),X0),sK7)
| sP3(range_of(sK9),X0)
| ~ empty(X0) )
| ~ spl23_19
| ~ spl23_29 ),
inference(resolution,[],[f1907,f610]) ).
fof(f1928,plain,
( ! [X0] :
( member(sK15(range_of(sK9),X0),sK7)
| member(sK15(range_of(sK9),X0),X0)
| range_of(sK9) = X0 )
| ~ spl23_19
| ~ spl23_29 ),
inference(resolution,[],[f1907,f258]) ).
fof(f1942,plain,
( ! [X0] :
( ~ member(X0,range_of(sK9))
| member(ordered_pair(sK10(range_of(sK9),X0),X0),sK7)
| ~ ilf_type(range_of(sK9),binary_relation_type) )
| ~ spl23_19
| ~ spl23_29 ),
inference(forward_demodulation,[],[f1918,f1680]) ).
fof(f1918,plain,
( ! [X0] :
( member(ordered_pair(sK10(range_of(sK9),X0),X0),sK7)
| ~ member(X0,range_of(range_of(sK9)))
| ~ ilf_type(range_of(sK9),binary_relation_type) )
| ~ spl23_19
| ~ spl23_29 ),
inference(resolution,[],[f1907,f1262]) ).
fof(f1907,plain,
( ! [X0] :
( ~ member(X0,range_of(sK9))
| member(X0,sK7) )
| ~ spl23_19
| ~ spl23_29 ),
inference(resolution,[],[f1717,f518]) ).
fof(f1916,plain,
( ! [X0,X1] :
( ~ member(ordered_pair(X0,X1),range_of(sK9))
| member(X1,range_of(domain_of(sK9)))
| ~ ilf_type(domain_of(sK9),binary_relation_type) )
| ~ spl23_19
| ~ spl23_29 ),
inference(resolution,[],[f1717,f290]) ).
fof(f1915,plain,
( ! [X0,X1] :
( ~ member(ordered_pair(X0,X1),range_of(sK9))
| member(X0,domain_of(domain_of(sK9)))
| ~ ilf_type(domain_of(sK9),binary_relation_type) )
| ~ spl23_19
| ~ spl23_29 ),
inference(resolution,[],[f1717,f292]) ).
fof(f1914,plain,
( ! [X0] :
( ~ member(sK18(X0,domain_of(sK9)),range_of(sK9))
| member(X0,power_set(domain_of(sK9))) )
| ~ spl23_19
| ~ spl23_29 ),
inference(resolution,[],[f1717,f277]) ).
fof(f1913,plain,
( ! [X0] :
( ~ member(sK17(X0,domain_of(sK9)),range_of(sK9))
| subset(X0,domain_of(sK9)) )
| ~ spl23_19
| ~ spl23_29 ),
inference(resolution,[],[f1717,f268]) ).
fof(f1912,plain,
( ! [X0] :
( ~ member(sK16(X0,domain_of(sK9)),range_of(sK9))
| ~ member(sK16(X0,domain_of(sK9)),X0)
| sP3(X0,domain_of(sK9)) )
| ~ spl23_19
| ~ spl23_29 ),
inference(resolution,[],[f1717,f200]) ).
fof(f1911,plain,
( ! [X0] :
( ~ member(sK15(X0,domain_of(sK9)),range_of(sK9))
| domain_of(sK9) = X0
| ~ member(sK15(X0,domain_of(sK9)),X0) )
| ~ spl23_19
| ~ spl23_29 ),
inference(resolution,[],[f1717,f256]) ).
fof(f1910,plain,
( ! [X0,X1] :
( ~ member(ordered_pair(X0,sK5(domain_of(sK9),X1)),range_of(sK9))
| sP0(domain_of(sK9),X1) )
| ~ spl23_19
| ~ spl23_29 ),
inference(resolution,[],[f1717,f539]) ).
fof(f1717,plain,
( ! [X0] :
( member(X0,domain_of(sK9))
| ~ member(X0,range_of(sK9)) )
| ~ spl23_19
| ~ spl23_29 ),
inference(superposition,[],[f363,f1644]) ).
fof(f1715,plain,
( ilf_type(range_of(sK9),member_type(power_set(range_of(sK9))))
| ~ spl23_19
| ~ spl23_29 ),
inference(superposition,[],[f1256,f1644]) ).
fof(f1817,plain,
( ilf_type(range_of(sK9),member_type(power_set(range_of(sK9))))
| ~ spl23_19
| ~ spl23_29 ),
inference(subsumption_resolution,[],[f1814,f236]) ).
fof(f1814,plain,
( ilf_type(range_of(sK9),member_type(power_set(range_of(sK9))))
| empty(power_set(range_of(sK9)))
| ~ spl23_19
| ~ spl23_29 ),
inference(superposition,[],[f314,f1714]) ).
fof(f1714,plain,
( range_of(sK9) = sK21(power_set(range_of(sK9)))
| ~ spl23_19
| ~ spl23_29 ),
inference(superposition,[],[f1236,f1644]) ).
fof(f1713,plain,
( range_of(sK9) = sK14(power_set(range_of(sK9)))
| ~ spl23_19
| ~ spl23_29 ),
inference(superposition,[],[f990,f1644]) ).
fof(f1712,plain,
( range_of(sK9) = sK20(range_of(sK9))
| ~ spl23_19
| ~ spl23_29 ),
inference(superposition,[],[f987,f1644]) ).
fof(f1756,plain,
( range_of(sK9) = ordered_pair(sK12(range_of(sK9)),sK13(range_of(sK9)))
| ~ sP1(power_set(domain_of(sK9)))
| ~ spl23_19
| ~ spl23_29 ),
inference(resolution,[],[f1728,f1003]) ).
fof(f1755,plain,
( ! [X0] :
( ~ member(X0,range_of(sK9))
| member(X0,domain_of(sK9)) )
| ~ spl23_19
| ~ spl23_29 ),
inference(resolution,[],[f1728,f284]) ).
fof(f1728,plain,
( member(range_of(sK9),power_set(domain_of(sK9)))
| ~ spl23_19
| ~ spl23_29 ),
inference(subsumption_resolution,[],[f1727,f236]) ).
fof(f1727,plain,
( member(range_of(sK9),power_set(domain_of(sK9)))
| empty(power_set(domain_of(sK9)))
| ~ spl23_19
| ~ spl23_29 ),
inference(superposition,[],[f238,f1644]) ).
fof(f1753,plain,
( ! [X0] :
( ~ member(X0,range_of(sK9))
| member(X0,domain_of(sK9)) )
| ~ spl23_19
| ~ spl23_29 ),
inference(resolution,[],[f1723,f485]) ).
fof(f1723,plain,
( ilf_type(range_of(sK9),subset_type(domain_of(sK9)))
| ~ spl23_19
| ~ spl23_29 ),
inference(superposition,[],[f461,f1644]) ).
fof(f1644,plain,
( range_of(sK9) = sK14(power_set(domain_of(sK9)))
| ~ spl23_19
| ~ spl23_29 ),
inference(resolution,[],[f1630,f976]) ).
fof(f1682,plain,
( range_of(sK9) = range_of(sK14(power_set(domain_of(sK9))))
| ~ spl23_19
| ~ spl23_29 ),
inference(resolution,[],[f1665,f969]) ).
fof(f1673,plain,
( range_of(sK9) = sK14(power_set(domain_of(sK9)))
| ~ spl23_19
| ~ spl23_29 ),
inference(resolution,[],[f1637,f969]) ).
fof(f1669,plain,
( sK14(power_set(domain_of(sK9))) = range_of(sK20(range_of(sK9)))
| ~ spl23_19
| ~ spl23_29 ),
inference(resolution,[],[f1630,f1435]) ).
fof(f1668,plain,
( sK14(power_set(domain_of(sK9))) = range_of(range_of(range_of(sK9)))
| ~ spl23_19
| ~ spl23_29 ),
inference(resolution,[],[f1630,f1432]) ).
fof(f1667,plain,
( sK14(power_set(domain_of(sK9))) = sK20(range_of(range_of(sK9)))
| ~ spl23_19
| ~ spl23_29 ),
inference(resolution,[],[f1630,f1409]) ).
fof(f1666,plain,
( sK14(power_set(domain_of(sK9))) = range_of(range_of(sK9))
| ~ spl23_19
| ~ spl23_29 ),
inference(resolution,[],[f1630,f1370]) ).
fof(f1664,plain,
( sK14(power_set(domain_of(sK9))) = sK20(sK21(power_set(sK20(range_of(sK9)))))
| ~ spl23_19
| ~ spl23_29 ),
inference(resolution,[],[f1630,f1241]) ).
fof(f1663,plain,
( sK14(power_set(domain_of(sK9))) = sK21(power_set(sK21(power_set(range_of(sK9)))))
| ~ spl23_19
| ~ spl23_29 ),
inference(resolution,[],[f1630,f1238]) ).
fof(f1662,plain,
( sK14(power_set(domain_of(sK9))) = sK21(power_set(sK20(range_of(sK9))))
| ~ spl23_19
| ~ spl23_29 ),
inference(resolution,[],[f1630,f1237]) ).
fof(f1661,plain,
( sK14(power_set(domain_of(sK9))) = sK21(power_set(sK14(power_set(range_of(sK9)))))
| ~ spl23_19
| ~ spl23_29 ),
inference(resolution,[],[f1630,f1235]) ).
fof(f1660,plain,
( sK14(power_set(domain_of(sK9))) = sK20(sK20(sK21(power_set(range_of(sK9)))))
| ~ spl23_19
| ~ spl23_29 ),
inference(resolution,[],[f1630,f1227]) ).
fof(f1659,plain,
( sK14(power_set(domain_of(sK9))) = sK20(sK21(power_set(range_of(sK9))))
| ~ spl23_19
| ~ spl23_29 ),
inference(resolution,[],[f1630,f1225]) ).
fof(f1658,plain,
( sK14(power_set(domain_of(sK9))) = sK14(power_set(sK21(power_set(range_of(sK9)))))
| ~ spl23_19
| ~ spl23_29 ),
inference(resolution,[],[f1630,f1224]) ).
fof(f1657,plain,
( sK14(power_set(domain_of(sK9))) = sK21(power_set(range_of(sK9)))
| ~ spl23_19
| ~ spl23_29 ),
inference(resolution,[],[f1630,f1223]) ).
fof(f1655,plain,
( sK14(power_set(domain_of(sK9))) = sK20(sK20(sK20(sK20(range_of(sK9)))))
| ~ spl23_19
| ~ spl23_29 ),
inference(resolution,[],[f1630,f1031]) ).
fof(f1654,plain,
( sK14(power_set(domain_of(sK9))) = sK20(sK14(power_set(sK20(range_of(sK9)))))
| ~ spl23_19
| ~ spl23_29 ),
inference(resolution,[],[f1630,f1027]) ).
fof(f1653,plain,
( sK14(power_set(domain_of(sK9))) = sK14(power_set(sK20(sK20(range_of(sK9)))))
| ~ spl23_19
| ~ spl23_29 ),
inference(resolution,[],[f1630,f1023]) ).
fof(f1652,plain,
( sK14(power_set(domain_of(sK9))) = sK20(sK20(sK20(range_of(sK9))))
| ~ spl23_19
| ~ spl23_29 ),
inference(resolution,[],[f1630,f1006]) ).
fof(f1651,plain,
( sK14(power_set(domain_of(sK9))) = sK20(sK20(sK14(power_set(range_of(sK9)))))
| ~ spl23_19
| ~ spl23_29 ),
inference(resolution,[],[f1630,f1004]) ).
fof(f1650,plain,
( sK14(power_set(domain_of(sK9))) = sK14(power_set(sK20(range_of(sK9))))
| ~ spl23_19
| ~ spl23_29 ),
inference(resolution,[],[f1630,f991]) ).
fof(f1649,plain,
( sK14(power_set(domain_of(sK9))) = sK14(power_set(sK14(power_set(range_of(sK9)))))
| ~ spl23_19
| ~ spl23_29 ),
inference(resolution,[],[f1630,f989]) ).
fof(f1648,plain,
( sK14(power_set(domain_of(sK9))) = sK20(sK20(range_of(sK9)))
| ~ spl23_19
| ~ spl23_29 ),
inference(resolution,[],[f1630,f988]) ).
fof(f1647,plain,
( sK14(power_set(domain_of(sK9))) = sK20(sK14(power_set(range_of(sK9))))
| ~ spl23_19
| ~ spl23_29 ),
inference(resolution,[],[f1630,f986]) ).
fof(f1646,plain,
( sK14(power_set(domain_of(sK9))) = sK20(range_of(sK9))
| ~ spl23_19
| ~ spl23_29 ),
inference(resolution,[],[f1630,f985]) ).
fof(f1645,plain,
( sK14(power_set(domain_of(sK9))) = sK14(power_set(range_of(sK9)))
| ~ spl23_19
| ~ spl23_29 ),
inference(resolution,[],[f1630,f977]) ).
fof(f1571,plain,
( sP0(sK14(power_set(domain_of(sK9))),sK14(power_set(domain_of(sK9))))
| ~ ilf_type(sK14(power_set(domain_of(sK9))),binary_relation_type)
| ~ spl23_19 ),
inference(superposition,[],[f1568,f1434]) ).
fof(f1567,plain,
( ! [X0] :
( ~ member(sK5(sK14(power_set(domain_of(sK9))),X0),sK14(power_set(domain_of(sK9))))
| ~ ilf_type(sK14(power_set(domain_of(sK9))),binary_relation_type)
| sP0(sK14(power_set(domain_of(sK9))),X0) )
| ~ spl23_19 ),
inference(superposition,[],[f1309,f1434]) ).
fof(f1555,plain,
( ! [X0] :
( sK14(power_set(domain_of(sK9))) = range_of(sK20(sK21(power_set(range_of(X0)))))
| ~ empty(X0) )
| ~ spl23_19 ),
inference(resolution,[],[f1435,f1335]) ).
fof(f1554,plain,
( ! [X0] :
( sK14(power_set(domain_of(sK9))) = range_of(sK20(sK21(power_set(X0))))
| ~ empty(X0) )
| ~ spl23_19 ),
inference(resolution,[],[f1435,f1205]) ).
fof(f1553,plain,
( ! [X0] :
( sK14(power_set(domain_of(sK9))) = range_of(sK20(sK20(range_of(X0))))
| ~ empty(X0) )
| ~ spl23_19 ),
inference(resolution,[],[f1435,f1334]) ).
fof(f1552,plain,
( ! [X0] :
( sK14(power_set(domain_of(sK9))) = range_of(sK20(sK20(X0)))
| ~ empty(X0) )
| ~ spl23_19 ),
inference(resolution,[],[f1435,f678]) ).
fof(f1551,plain,
( ! [X0] :
( sK14(power_set(domain_of(sK9))) = range_of(sK20(sK14(power_set(range_of(X0)))))
| ~ empty(X0) )
| ~ spl23_19 ),
inference(resolution,[],[f1435,f1333]) ).
fof(f1549,plain,
( ! [X0] :
( sK14(power_set(domain_of(sK9))) = range_of(sK20(sK14(power_set(X0))))
| ~ empty(X0) )
| ~ spl23_19 ),
inference(resolution,[],[f1435,f396]) ).
fof(f1548,plain,
( ! [X0] :
( sK14(power_set(domain_of(sK9))) = range_of(sK20(range_of(X0)))
| ~ empty(X0) )
| ~ spl23_19 ),
inference(resolution,[],[f1435,f1332]) ).
fof(f1435,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = range_of(sK20(X0)) )
| ~ spl23_19 ),
inference(resolution,[],[f1370,f678]) ).
fof(f1434,plain,
( sK14(power_set(domain_of(sK9))) = range_of(sK14(power_set(domain_of(sK9))))
| ~ spl23_19 ),
inference(resolution,[],[f1370,f969]) ).
fof(f1530,plain,
( ! [X0] :
( sK14(power_set(domain_of(sK9))) = range_of(range_of(sK21(power_set(range_of(X0)))))
| ~ empty(X0) )
| ~ spl23_19 ),
inference(resolution,[],[f1432,f1335]) ).
fof(f1529,plain,
( ! [X0] :
( sK14(power_set(domain_of(sK9))) = range_of(range_of(sK21(power_set(X0))))
| ~ empty(X0) )
| ~ spl23_19 ),
inference(resolution,[],[f1432,f1205]) ).
fof(f1528,plain,
( ! [X0] :
( sK14(power_set(domain_of(sK9))) = range_of(range_of(sK20(range_of(X0))))
| ~ empty(X0) )
| ~ spl23_19 ),
inference(resolution,[],[f1432,f1334]) ).
fof(f1527,plain,
( ! [X0] :
( sK14(power_set(domain_of(sK9))) = range_of(range_of(sK20(X0)))
| ~ empty(X0) )
| ~ spl23_19 ),
inference(resolution,[],[f1432,f678]) ).
fof(f1526,plain,
( ! [X0] :
( sK14(power_set(domain_of(sK9))) = range_of(range_of(sK14(power_set(range_of(X0)))))
| ~ empty(X0) )
| ~ spl23_19 ),
inference(resolution,[],[f1432,f1333]) ).
fof(f1525,plain,
( sK14(power_set(domain_of(sK9))) = range_of(range_of(sK14(power_set(domain_of(sK9)))))
| ~ spl23_19 ),
inference(resolution,[],[f1432,f969]) ).
fof(f1524,plain,
( ! [X0] :
( sK14(power_set(domain_of(sK9))) = range_of(range_of(sK14(power_set(X0))))
| ~ empty(X0) )
| ~ spl23_19 ),
inference(resolution,[],[f1432,f396]) ).
fof(f1523,plain,
( ! [X0] :
( sK14(power_set(domain_of(sK9))) = range_of(range_of(range_of(X0)))
| ~ empty(X0) )
| ~ spl23_19 ),
inference(resolution,[],[f1432,f1332]) ).
fof(f1432,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = range_of(range_of(X0)) )
| ~ spl23_19 ),
inference(resolution,[],[f1370,f1332]) ).
fof(f1522,plain,
( ! [X0] :
( sK14(power_set(domain_of(sK9))) = sK20(range_of(sK21(power_set(range_of(X0)))))
| ~ empty(X0) )
| ~ spl23_19 ),
inference(resolution,[],[f1409,f1335]) ).
fof(f1521,plain,
( ! [X0] :
( sK14(power_set(domain_of(sK9))) = sK20(range_of(sK21(power_set(X0))))
| ~ empty(X0) )
| ~ spl23_19 ),
inference(resolution,[],[f1409,f1205]) ).
fof(f1520,plain,
( ! [X0] :
( sK14(power_set(domain_of(sK9))) = sK20(range_of(sK20(range_of(X0))))
| ~ empty(X0) )
| ~ spl23_19 ),
inference(resolution,[],[f1409,f1334]) ).
fof(f1519,plain,
( ! [X0] :
( sK14(power_set(domain_of(sK9))) = sK20(range_of(sK20(X0)))
| ~ empty(X0) )
| ~ spl23_19 ),
inference(resolution,[],[f1409,f678]) ).
fof(f1518,plain,
( ! [X0] :
( sK14(power_set(domain_of(sK9))) = sK20(range_of(sK14(power_set(range_of(X0)))))
| ~ empty(X0) )
| ~ spl23_19 ),
inference(resolution,[],[f1409,f1333]) ).
fof(f1517,plain,
( sK14(power_set(domain_of(sK9))) = sK20(range_of(sK14(power_set(domain_of(sK9)))))
| ~ spl23_19 ),
inference(resolution,[],[f1409,f969]) ).
fof(f1516,plain,
( ! [X0] :
( sK14(power_set(domain_of(sK9))) = sK20(range_of(sK14(power_set(X0))))
| ~ empty(X0) )
| ~ spl23_19 ),
inference(resolution,[],[f1409,f396]) ).
fof(f1515,plain,
( ! [X0] :
( sK14(power_set(domain_of(sK9))) = sK20(range_of(range_of(X0)))
| ~ empty(X0) )
| ~ spl23_19 ),
inference(resolution,[],[f1409,f1332]) ).
fof(f1409,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK20(range_of(X0)) )
| ~ spl23_19 ),
inference(resolution,[],[f1334,f976]) ).
fof(f1511,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = range_of(sK21(power_set(range_of(X0)))) )
| ~ spl23_19 ),
inference(resolution,[],[f1335,f1370]) ).
fof(f1510,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK20(sK21(power_set(sK20(sK21(power_set(range_of(X0))))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1335,f1241]) ).
fof(f1509,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK21(power_set(sK21(power_set(sK21(power_set(range_of(X0))))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1335,f1238]) ).
fof(f1508,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK21(power_set(sK20(sK21(power_set(range_of(X0)))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1335,f1237]) ).
fof(f1507,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK21(power_set(sK14(power_set(sK21(power_set(range_of(X0))))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1335,f1235]) ).
fof(f1506,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK20(sK20(sK21(power_set(sK21(power_set(range_of(X0))))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1335,f1227]) ).
fof(f1505,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK20(sK21(power_set(sK21(power_set(range_of(X0)))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1335,f1225]) ).
fof(f1504,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK14(power_set(sK21(power_set(sK21(power_set(range_of(X0))))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1335,f1224]) ).
fof(f1503,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK21(power_set(sK21(power_set(range_of(X0))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1335,f1223]) ).
fof(f1501,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK20(sK20(sK20(sK20(sK21(power_set(range_of(X0))))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1335,f1031]) ).
fof(f1500,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK20(sK14(power_set(sK20(sK21(power_set(range_of(X0))))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1335,f1027]) ).
fof(f1499,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK14(power_set(sK20(sK20(sK21(power_set(range_of(X0))))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1335,f1023]) ).
fof(f1498,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK20(sK20(sK20(sK21(power_set(range_of(X0)))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1335,f1006]) ).
fof(f1497,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK20(sK20(sK14(power_set(sK21(power_set(range_of(X0))))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1335,f1004]) ).
fof(f1496,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK14(power_set(sK20(sK21(power_set(range_of(X0)))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1335,f991]) ).
fof(f1495,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK14(power_set(sK14(power_set(sK21(power_set(range_of(X0))))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1335,f989]) ).
fof(f1494,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK20(sK20(sK21(power_set(range_of(X0))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1335,f988]) ).
fof(f1493,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK20(sK14(power_set(sK21(power_set(range_of(X0)))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1335,f986]) ).
fof(f1492,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK20(sK21(power_set(range_of(X0)))) )
| ~ spl23_19 ),
inference(resolution,[],[f1335,f985]) ).
fof(f1491,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK14(power_set(sK21(power_set(range_of(X0))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1335,f977]) ).
fof(f1490,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK21(power_set(range_of(X0))) )
| ~ spl23_19 ),
inference(resolution,[],[f1335,f976]) ).
fof(f1474,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = range_of(sK14(power_set(range_of(X0)))) )
| ~ spl23_19 ),
inference(resolution,[],[f1333,f1370]) ).
fof(f1473,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK20(sK21(power_set(sK20(sK14(power_set(range_of(X0))))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1333,f1241]) ).
fof(f1472,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK21(power_set(sK21(power_set(sK14(power_set(range_of(X0))))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1333,f1238]) ).
fof(f1471,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK21(power_set(sK20(sK14(power_set(range_of(X0)))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1333,f1237]) ).
fof(f1470,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK21(power_set(sK14(power_set(sK14(power_set(range_of(X0))))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1333,f1235]) ).
fof(f1469,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK20(sK20(sK21(power_set(sK14(power_set(range_of(X0))))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1333,f1227]) ).
fof(f1468,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK20(sK21(power_set(sK14(power_set(range_of(X0)))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1333,f1225]) ).
fof(f1467,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK14(power_set(sK21(power_set(sK14(power_set(range_of(X0))))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1333,f1224]) ).
fof(f1466,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK21(power_set(sK14(power_set(range_of(X0))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1333,f1223]) ).
fof(f1464,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK20(sK20(sK20(sK20(sK14(power_set(range_of(X0))))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1333,f1031]) ).
fof(f1463,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK20(sK14(power_set(sK20(sK14(power_set(range_of(X0))))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1333,f1027]) ).
fof(f1462,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK14(power_set(sK20(sK20(sK14(power_set(range_of(X0))))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1333,f1023]) ).
fof(f1461,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK20(sK20(sK20(sK14(power_set(range_of(X0)))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1333,f1006]) ).
fof(f1460,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK20(sK20(sK14(power_set(sK14(power_set(range_of(X0))))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1333,f1004]) ).
fof(f1459,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK14(power_set(sK20(sK14(power_set(range_of(X0)))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1333,f991]) ).
fof(f1458,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK14(power_set(sK14(power_set(sK14(power_set(range_of(X0))))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1333,f989]) ).
fof(f1457,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK20(sK20(sK14(power_set(range_of(X0))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1333,f988]) ).
fof(f1456,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK20(sK14(power_set(sK14(power_set(range_of(X0)))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1333,f986]) ).
fof(f1455,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK20(sK14(power_set(range_of(X0)))) )
| ~ spl23_19 ),
inference(resolution,[],[f1333,f985]) ).
fof(f1454,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK14(power_set(sK14(power_set(range_of(X0))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1333,f977]) ).
fof(f1453,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK14(power_set(range_of(X0))) )
| ~ spl23_19 ),
inference(resolution,[],[f1333,f976]) ).
fof(f1437,plain,
( ! [X0] :
( sK14(power_set(domain_of(sK9))) = range_of(sK21(power_set(X0)))
| ~ empty(X0) )
| ~ spl23_19 ),
inference(resolution,[],[f1370,f1205]) ).
fof(f1436,plain,
( ! [X0] :
( sK14(power_set(domain_of(sK9))) = range_of(sK20(range_of(X0)))
| ~ empty(X0) )
| ~ spl23_19 ),
inference(resolution,[],[f1370,f1334]) ).
fof(f1433,plain,
( ! [X0] :
( range_of(sK14(power_set(X0))) = sK14(power_set(domain_of(sK9)))
| ~ empty(X0) )
| ~ spl23_19 ),
inference(resolution,[],[f1370,f396]) ).
fof(f1370,plain,
( ! [X0] :
( ~ empty(X0)
| range_of(X0) = sK14(power_set(domain_of(sK9))) )
| ~ spl23_19 ),
inference(resolution,[],[f1332,f976]) ).
fof(f1429,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK20(sK21(power_set(sK20(sK20(range_of(X0)))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1334,f1241]) ).
fof(f1428,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK21(power_set(sK21(power_set(sK20(range_of(X0)))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1334,f1238]) ).
fof(f1427,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK21(power_set(sK20(sK20(range_of(X0))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1334,f1237]) ).
fof(f1426,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK21(power_set(sK14(power_set(sK20(range_of(X0)))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1334,f1235]) ).
fof(f1425,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK20(sK20(sK21(power_set(sK20(range_of(X0)))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1334,f1227]) ).
fof(f1424,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK20(sK21(power_set(sK20(range_of(X0))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1334,f1225]) ).
fof(f1423,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK14(power_set(sK21(power_set(sK20(range_of(X0)))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1334,f1224]) ).
fof(f1422,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK21(power_set(sK20(range_of(X0)))) )
| ~ spl23_19 ),
inference(resolution,[],[f1334,f1223]) ).
fof(f1420,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK20(sK20(sK20(sK20(sK20(range_of(X0)))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1334,f1031]) ).
fof(f1419,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK20(sK14(power_set(sK20(sK20(range_of(X0)))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1334,f1027]) ).
fof(f1418,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK14(power_set(sK20(sK20(sK20(range_of(X0)))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1334,f1023]) ).
fof(f1417,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK20(sK20(sK20(sK20(range_of(X0))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1334,f1006]) ).
fof(f1416,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK20(sK20(sK14(power_set(sK20(range_of(X0)))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1334,f1004]) ).
fof(f1415,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK14(power_set(sK20(sK20(range_of(X0))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1334,f991]) ).
fof(f1414,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK14(power_set(sK14(power_set(sK20(range_of(X0)))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1334,f989]) ).
fof(f1413,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK20(sK20(sK20(range_of(X0)))) )
| ~ spl23_19 ),
inference(resolution,[],[f1334,f988]) ).
fof(f1412,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK20(sK14(power_set(sK20(range_of(X0))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1334,f986]) ).
fof(f1411,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK20(sK20(range_of(X0))) )
| ~ spl23_19 ),
inference(resolution,[],[f1334,f985]) ).
fof(f1410,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK14(power_set(sK20(range_of(X0)))) )
| ~ spl23_19 ),
inference(resolution,[],[f1334,f977]) ).
fof(f1390,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK20(sK21(power_set(sK20(range_of(X0))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1332,f1241]) ).
fof(f1389,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK21(power_set(sK21(power_set(range_of(X0))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1332,f1238]) ).
fof(f1388,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK21(power_set(sK20(range_of(X0)))) )
| ~ spl23_19 ),
inference(resolution,[],[f1332,f1237]) ).
fof(f1387,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK21(power_set(sK14(power_set(range_of(X0))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1332,f1235]) ).
fof(f1386,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK20(sK20(sK21(power_set(range_of(X0))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1332,f1227]) ).
fof(f1385,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK20(sK21(power_set(range_of(X0)))) )
| ~ spl23_19 ),
inference(resolution,[],[f1332,f1225]) ).
fof(f1384,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK14(power_set(sK21(power_set(range_of(X0))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1332,f1224]) ).
fof(f1383,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK21(power_set(range_of(X0))) )
| ~ spl23_19 ),
inference(resolution,[],[f1332,f1223]) ).
fof(f1381,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK20(sK20(sK20(sK20(range_of(X0))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1332,f1031]) ).
fof(f1380,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK20(sK14(power_set(sK20(range_of(X0))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1332,f1027]) ).
fof(f1379,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK14(power_set(sK20(sK20(range_of(X0))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1332,f1023]) ).
fof(f1378,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK20(sK20(sK20(range_of(X0)))) )
| ~ spl23_19 ),
inference(resolution,[],[f1332,f1006]) ).
fof(f1377,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK20(sK20(sK14(power_set(range_of(X0))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1332,f1004]) ).
fof(f1376,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK14(power_set(sK20(range_of(X0)))) )
| ~ spl23_19 ),
inference(resolution,[],[f1332,f991]) ).
fof(f1375,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK14(power_set(sK14(power_set(range_of(X0))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1332,f989]) ).
fof(f1374,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK20(sK20(range_of(X0))) )
| ~ spl23_19 ),
inference(resolution,[],[f1332,f988]) ).
fof(f1373,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK20(sK14(power_set(range_of(X0)))) )
| ~ spl23_19 ),
inference(resolution,[],[f1332,f986]) ).
fof(f1372,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK20(range_of(X0)) )
| ~ spl23_19 ),
inference(resolution,[],[f1332,f985]) ).
fof(f1371,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK14(power_set(range_of(X0))) )
| ~ spl23_19 ),
inference(resolution,[],[f1332,f977]) ).
fof(f1306,plain,
( ! [X0] :
( sK14(power_set(domain_of(sK9))) = sK20(sK21(power_set(sK20(sK21(power_set(X0))))))
| ~ empty(X0) )
| ~ spl23_19 ),
inference(resolution,[],[f1241,f1205]) ).
fof(f1305,plain,
( ! [X0] :
( sK14(power_set(domain_of(sK9))) = sK20(sK21(power_set(sK20(sK20(X0)))))
| ~ empty(X0) )
| ~ spl23_19 ),
inference(resolution,[],[f1241,f678]) ).
fof(f1303,plain,
( ! [X0] :
( sK14(power_set(domain_of(sK9))) = sK20(sK21(power_set(sK20(sK14(power_set(X0))))))
| ~ empty(X0) )
| ~ spl23_19 ),
inference(resolution,[],[f1241,f396]) ).
fof(f1241,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK20(sK21(power_set(sK20(X0)))) )
| ~ spl23_19 ),
inference(resolution,[],[f1225,f678]) ).
fof(f1299,plain,
( ! [X0] :
( sK14(power_set(domain_of(sK9))) = sK20(sK20(sK21(power_set(sK21(power_set(X0))))))
| ~ empty(X0) )
| ~ spl23_19 ),
inference(resolution,[],[f1227,f1205]) ).
fof(f1298,plain,
( ! [X0] :
( sK14(power_set(domain_of(sK9))) = sK20(sK20(sK21(power_set(sK20(X0)))))
| ~ empty(X0) )
| ~ spl23_19 ),
inference(resolution,[],[f1227,f678]) ).
fof(f1296,plain,
( ! [X0] :
( sK14(power_set(domain_of(sK9))) = sK20(sK20(sK21(power_set(sK14(power_set(X0))))))
| ~ empty(X0) )
| ~ spl23_19 ),
inference(resolution,[],[f1227,f396]) ).
fof(f1227,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK20(sK20(sK21(power_set(X0)))) )
| ~ spl23_19 ),
inference(resolution,[],[f1205,f988]) ).
fof(f1294,plain,
( ! [X0] :
( sK14(power_set(domain_of(sK9))) = sK21(power_set(sK21(power_set(sK21(power_set(X0))))))
| ~ empty(X0) )
| ~ spl23_19 ),
inference(resolution,[],[f1238,f1205]) ).
fof(f1293,plain,
( ! [X0] :
( sK14(power_set(domain_of(sK9))) = sK21(power_set(sK21(power_set(sK20(X0)))))
| ~ empty(X0) )
| ~ spl23_19 ),
inference(resolution,[],[f1238,f678]) ).
fof(f1291,plain,
( ! [X0] :
( sK14(power_set(domain_of(sK9))) = sK21(power_set(sK21(power_set(sK14(power_set(X0))))))
| ~ empty(X0) )
| ~ spl23_19 ),
inference(resolution,[],[f1238,f396]) ).
fof(f1238,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK21(power_set(sK21(power_set(X0)))) )
| ~ spl23_19 ),
inference(resolution,[],[f1223,f1205]) ).
fof(f1289,plain,
( ! [X0] :
( sK14(power_set(domain_of(sK9))) = sK21(power_set(sK14(power_set(sK21(power_set(X0))))))
| ~ empty(X0) )
| ~ spl23_19 ),
inference(resolution,[],[f1235,f1205]) ).
fof(f1288,plain,
( ! [X0] :
( sK14(power_set(domain_of(sK9))) = sK21(power_set(sK14(power_set(sK20(X0)))))
| ~ empty(X0) )
| ~ spl23_19 ),
inference(resolution,[],[f1235,f678]) ).
fof(f1286,plain,
( ! [X0] :
( sK14(power_set(domain_of(sK9))) = sK21(power_set(sK14(power_set(sK14(power_set(X0))))))
| ~ empty(X0) )
| ~ spl23_19 ),
inference(resolution,[],[f1235,f396]) ).
fof(f1235,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK21(power_set(sK14(power_set(X0)))) )
| ~ spl23_19 ),
inference(resolution,[],[f1223,f396]) ).
fof(f1284,plain,
( ! [X0] :
( sK14(power_set(domain_of(sK9))) = sK14(power_set(sK21(power_set(sK21(power_set(X0))))))
| ~ empty(X0) )
| ~ spl23_19 ),
inference(resolution,[],[f1224,f1205]) ).
fof(f1283,plain,
( ! [X0] :
( sK14(power_set(domain_of(sK9))) = sK14(power_set(sK21(power_set(sK20(X0)))))
| ~ empty(X0) )
| ~ spl23_19 ),
inference(resolution,[],[f1224,f678]) ).
fof(f1281,plain,
( ! [X0] :
( sK14(power_set(domain_of(sK9))) = sK14(power_set(sK21(power_set(sK14(power_set(X0))))))
| ~ empty(X0) )
| ~ spl23_19 ),
inference(resolution,[],[f1224,f396]) ).
fof(f1224,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(sK21(power_set(X0)))) = sK14(power_set(domain_of(sK9))) )
| ~ spl23_19 ),
inference(resolution,[],[f1205,f977]) ).
fof(f1256,plain,
( ilf_type(sK14(power_set(domain_of(sK9))),member_type(power_set(sK14(power_set(domain_of(sK9))))))
| ~ spl23_19 ),
inference(subsumption_resolution,[],[f1253,f236]) ).
fof(f1253,plain,
( ilf_type(sK14(power_set(domain_of(sK9))),member_type(power_set(sK14(power_set(domain_of(sK9))))))
| empty(power_set(sK14(power_set(domain_of(sK9)))))
| ~ spl23_19 ),
inference(superposition,[],[f314,f1236]) ).
fof(f1260,plain,
( ! [X0] :
( sK14(power_set(domain_of(sK9))) = sK21(power_set(sK20(sK21(power_set(X0)))))
| ~ empty(X0) )
| ~ spl23_19 ),
inference(resolution,[],[f1237,f1205]) ).
fof(f1259,plain,
( ! [X0] :
( sK14(power_set(domain_of(sK9))) = sK21(power_set(sK20(sK20(X0))))
| ~ empty(X0) )
| ~ spl23_19 ),
inference(resolution,[],[f1237,f678]) ).
fof(f1257,plain,
( ! [X0] :
( sK14(power_set(domain_of(sK9))) = sK21(power_set(sK20(sK14(power_set(X0)))))
| ~ empty(X0) )
| ~ spl23_19 ),
inference(resolution,[],[f1237,f396]) ).
fof(f1237,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK21(power_set(sK20(X0))) )
| ~ spl23_19 ),
inference(resolution,[],[f1223,f678]) ).
fof(f1236,plain,
( sK14(power_set(domain_of(sK9))) = sK21(power_set(sK14(power_set(domain_of(sK9)))))
| ~ spl23_19 ),
inference(resolution,[],[f1223,f969]) ).
fof(f1242,plain,
( ! [X0] :
( sK14(power_set(domain_of(sK9))) = sK20(sK21(power_set(sK21(power_set(X0)))))
| ~ empty(X0) )
| ~ spl23_19 ),
inference(resolution,[],[f1225,f1205]) ).
fof(f1240,plain,
( sK14(power_set(domain_of(sK9))) = sK20(sK21(power_set(sK14(power_set(domain_of(sK9))))))
| ~ spl23_19 ),
inference(resolution,[],[f1225,f969]) ).
fof(f1239,plain,
( ! [X0] :
( sK14(power_set(domain_of(sK9))) = sK20(sK21(power_set(sK14(power_set(X0)))))
| ~ empty(X0) )
| ~ spl23_19 ),
inference(resolution,[],[f1225,f396]) ).
fof(f1225,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK20(sK21(power_set(X0))) )
| ~ spl23_19 ),
inference(resolution,[],[f1205,f985]) ).
fof(f1223,plain,
( ! [X0] :
( ~ empty(X0)
| sK21(power_set(X0)) = sK14(power_set(domain_of(sK9))) )
| ~ spl23_19 ),
inference(resolution,[],[f1205,f976]) ).
fof(f1234,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK20(sK20(sK20(sK20(sK21(power_set(X0)))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1205,f1031]) ).
fof(f1233,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK20(sK14(power_set(sK20(sK21(power_set(X0)))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1205,f1027]) ).
fof(f1232,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK14(power_set(sK20(sK20(sK21(power_set(X0)))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1205,f1023]) ).
fof(f1231,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK20(sK20(sK20(sK21(power_set(X0))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1205,f1006]) ).
fof(f1230,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK20(sK20(sK14(power_set(sK21(power_set(X0)))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1205,f1004]) ).
fof(f1229,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK14(power_set(sK20(sK21(power_set(X0))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1205,f991]) ).
fof(f1228,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK14(power_set(sK14(power_set(sK21(power_set(X0)))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1205,f989]) ).
fof(f1226,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK20(sK14(power_set(sK21(power_set(X0))))) )
| ~ spl23_19 ),
inference(resolution,[],[f1205,f986]) ).
fof(f1094,plain,
( ! [X0] :
( sK14(power_set(domain_of(sK9))) = sK20(sK20(sK20(sK20(sK20(X0)))))
| ~ empty(X0) )
| ~ spl23_19 ),
inference(resolution,[],[f1031,f678]) ).
fof(f1092,plain,
( ! [X0] :
( sK14(power_set(domain_of(sK9))) = sK20(sK20(sK20(sK20(sK14(power_set(X0))))))
| ~ empty(X0) )
| ~ spl23_19 ),
inference(resolution,[],[f1031,f396]) ).
fof(f1031,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK20(sK20(sK20(sK20(X0)))) )
| ~ spl23_19 ),
inference(resolution,[],[f1006,f678]) ).
fof(f1089,plain,
( ! [X0] :
( sK14(power_set(domain_of(sK9))) = sK20(sK14(power_set(sK20(sK20(X0)))))
| ~ empty(X0) )
| ~ spl23_19 ),
inference(resolution,[],[f1027,f678]) ).
fof(f1087,plain,
( ! [X0] :
( sK14(power_set(domain_of(sK9))) = sK20(sK14(power_set(sK20(sK14(power_set(X0))))))
| ~ empty(X0) )
| ~ spl23_19 ),
inference(resolution,[],[f1027,f396]) ).
fof(f1027,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK20(sK14(power_set(sK20(X0)))) )
| ~ spl23_19 ),
inference(resolution,[],[f986,f678]) ).
fof(f1046,plain,
( ! [X0] :
( sK14(power_set(domain_of(sK9))) = sK20(sK20(sK14(power_set(sK20(X0)))))
| ~ empty(X0) )
| ~ spl23_19 ),
inference(resolution,[],[f1004,f678]) ).
fof(f1044,plain,
( ! [X0] :
( sK14(power_set(domain_of(sK9))) = sK20(sK20(sK14(power_set(sK14(power_set(X0))))))
| ~ empty(X0) )
| ~ spl23_19 ),
inference(resolution,[],[f1004,f396]) ).
fof(f1004,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK20(sK20(sK14(power_set(X0)))) )
| ~ spl23_19 ),
inference(resolution,[],[f988,f396]) ).
fof(f1041,plain,
( ! [X0] :
( sK14(power_set(domain_of(sK9))) = sK14(power_set(sK20(sK20(sK20(X0)))))
| ~ empty(X0) )
| ~ spl23_19 ),
inference(resolution,[],[f1023,f678]) ).
fof(f1039,plain,
( ! [X0] :
( sK14(power_set(domain_of(sK9))) = sK14(power_set(sK20(sK20(sK14(power_set(X0))))))
| ~ empty(X0) )
| ~ spl23_19 ),
inference(resolution,[],[f1023,f396]) ).
fof(f1023,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK14(power_set(sK20(sK20(X0)))) )
| ~ spl23_19 ),
inference(resolution,[],[f991,f678]) ).
fof(f1037,plain,
( ! [X0] :
( sK14(power_set(domain_of(sK9))) = sK14(power_set(sK14(power_set(sK20(X0)))))
| ~ empty(X0) )
| ~ spl23_19 ),
inference(resolution,[],[f989,f678]) ).
fof(f1035,plain,
( ! [X0] :
( sK14(power_set(domain_of(sK9))) = sK14(power_set(sK14(power_set(sK14(power_set(X0))))))
| ~ empty(X0) )
| ~ spl23_19 ),
inference(resolution,[],[f989,f396]) ).
fof(f989,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(sK14(power_set(X0)))) = sK14(power_set(domain_of(sK9))) )
| ~ spl23_19 ),
inference(resolution,[],[f977,f396]) ).
fof(f1029,plain,
( ! [X0] :
( sK14(power_set(domain_of(sK9))) = sK20(sK20(sK20(sK14(power_set(X0)))))
| ~ empty(X0) )
| ~ spl23_19 ),
inference(resolution,[],[f1006,f396]) ).
fof(f1006,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK20(sK20(sK20(X0))) )
| ~ spl23_19 ),
inference(resolution,[],[f988,f678]) ).
fof(f1025,plain,
( ! [X0] :
( sK14(power_set(domain_of(sK9))) = sK20(sK14(power_set(sK14(power_set(X0)))))
| ~ empty(X0) )
| ~ spl23_19 ),
inference(resolution,[],[f986,f396]) ).
fof(f986,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK20(sK14(power_set(X0))) )
| ~ spl23_19 ),
inference(resolution,[],[f985,f396]) ).
fof(f1021,plain,
( ! [X0] :
( sK14(power_set(domain_of(sK9))) = sK14(power_set(sK20(sK14(power_set(X0)))))
| ~ empty(X0) )
| ~ spl23_19 ),
inference(resolution,[],[f991,f396]) ).
fof(f991,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK14(power_set(sK20(X0))) )
| ~ spl23_19 ),
inference(resolution,[],[f977,f678]) ).
fof(f990,plain,
( sK14(power_set(domain_of(sK9))) = sK14(power_set(sK14(power_set(domain_of(sK9)))))
| ~ spl23_19 ),
inference(resolution,[],[f977,f969]) ).
fof(f988,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = sK20(sK20(X0)) )
| ~ spl23_19 ),
inference(resolution,[],[f985,f678]) ).
fof(f987,plain,
( sK14(power_set(domain_of(sK9))) = sK20(sK14(power_set(domain_of(sK9))))
| ~ spl23_19 ),
inference(resolution,[],[f985,f969]) ).
fof(f977,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(X0)) = sK14(power_set(domain_of(sK9))) )
| ~ spl23_19 ),
inference(resolution,[],[f969,f399]) ).
fof(f985,plain,
( ! [X0] :
( ~ empty(X0)
| sK20(X0) = sK14(power_set(domain_of(sK9))) )
| ~ spl23_19 ),
inference(resolution,[],[f976,f678]) ).
fof(f983,plain,
( ! [X0] :
( sK14(power_set(X0)) = sK14(power_set(domain_of(sK9)))
| ~ empty(X0) )
| ~ spl23_19 ),
inference(resolution,[],[f976,f396]) ).
fof(f976,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(domain_of(sK9))) = X0 )
| ~ spl23_19 ),
inference(resolution,[],[f969,f343]) ).
fof(f982,plain,
( ! [X0] :
( ~ empty(X0)
| sK20(X0) = sK20(sK14(power_set(domain_of(sK9)))) )
| ~ spl23_19 ),
inference(resolution,[],[f969,f766]) ).
fof(f981,plain,
( ! [X0] :
( sK20(X0) = sK14(power_set(domain_of(sK9)))
| ~ empty(X0) )
| ~ spl23_19 ),
inference(resolution,[],[f969,f687]) ).
fof(f980,plain,
( ! [X0,X1] : domain_of(sK14(power_set(domain_of(sK9)))) = domain(X0,X1,sK14(power_set(domain_of(sK9))))
| ~ spl23_19 ),
inference(resolution,[],[f969,f468]) ).
fof(f979,plain,
( ! [X0,X1] : range_of(sK14(power_set(domain_of(sK9)))) = range(X0,X1,sK14(power_set(domain_of(sK9))))
| ~ spl23_19 ),
inference(resolution,[],[f969,f467]) ).
fof(f978,plain,
( ! [X0] :
( ~ empty(X0)
| sK14(power_set(X0)) = sK14(power_set(sK14(power_set(domain_of(sK9))))) )
| ~ spl23_19 ),
inference(resolution,[],[f969,f401]) ).
fof(f969,plain,
( empty(sK14(power_set(domain_of(sK9))))
| ~ spl23_19 ),
inference(avatar_component_clause,[],[f967]) ).
fof(f967,plain,
( spl23_19
<=> empty(sK14(power_set(domain_of(sK9)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_19])]) ).
fof(f944,plain,
( relation_like(sK14(power_set(domain_of(sK9))))
| ~ spl23_17 ),
inference(resolution,[],[f938,f319]) ).
fof(f938,plain,
( sP1(sK14(power_set(domain_of(sK9))))
| ~ spl23_17 ),
inference(avatar_component_clause,[],[f936]) ).
fof(f936,plain,
( spl23_17
<=> sP1(sK14(power_set(domain_of(sK9)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_17])]) ).
fof(f2105,plain,
( ~ spl23_17
| ~ spl23_19
| ~ spl23_29
| spl23_31 ),
inference(avatar_contradiction_clause,[],[f2104]) ).
fof(f2104,plain,
( $false
| ~ spl23_17
| ~ spl23_19
| ~ spl23_29
| spl23_31 ),
inference(global_subsumption,[],[f151,f149,f148,f147,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f168,f167,f174,f172,f171,f170,f169,f175,f178,f177,f239,f176,f240,f233,f179,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f187,f251,f186,f253,f190,f255,f189,f257,f188,f259,f260,f193,f261,f195,f198,f197,f196,f201,f265,f205,f267,f204,f269,f203,f271,f272,f202,f273,f274,f209,f276,f208,f278,f207,f280,f281,f206,f282,f283,f211,f285,f210,f287,f213,f289,f212,f291,f231,f293,f294,f295,f296,f232,f297,f298,f299,f216,f301,f217,f303,f218,f305,f219,f307,f220,f221,f309,f223,f311,f222,f312,f224,f225,f226,f237,f152,f153,f157,f227,f236,f266,f154,f315,f241,f242,f316,f313,f318,f319,f173,f238,f155,f250,f310,f314,f150,f330,f331,f333,f268,f270,f338,f337,f339,f262,f341,f343,f263,f264,f275,f277,f279,f348,f347,f286,f354,f288,f351,f284,f363,f366,f367,f368,f300,f370,f371,f373,f374,f375,f369,f378,f379,f381,f382,f383,f384,f372,f385,f386,f387,f388,f389,f390,f391,f252,f352,f364,f393,f394,f392,f395,f365,f397,f398,f396,f399,f380,f404,f405,f406,f407,f408,f409,f410,f254,f412,f413,f358,f414,f415,f416,f417,f418,f419,f420,f401,f421,f290,f422,f423,f292,f424,f425,f302,f428,f429,f426,f427,f304,f432,f433,f431,f306,f435,f438,f439,f440,f441,f442,f308,f443,f449,f447,f450,f455,f457,f458,f459,f460,f452,f453,f461,f462,f465,f466,f463,f454,f469,f464,f470,f471,f472,f476,f481,f477,f487,f488,f489,f490,f483,f492,f494,f495,f496,f497,f498,f467,f499,f468,f500,f482,f502,f503,f504,f505,f506,f485,f509,f515,f517,f518,f520,f522,f539,f572,f573,f512,f576,f578,f579,f580,f582,f583,f524,f586,f585,f589,f528,f199,f611,f612,f613,f614,f615,f616,f617,f619,f620,f621,f622,f623,f624,f625,f626,f631,f632,f633,f634,f635,f636,f637,f630,f575,f643,f644,f645,f646,f647,f648,f641,f649,f642,f200,f669,f670,f674,f577,f680,f681,f682,f683,f684,f685,f678,f688,f689,f690,f691,f256,f729,f730,f581,f755,f756,f757,f758,f759,f760,f687,f764,f525,f769,f258,f785,f786,f787,f788,f789,f790,f791,f794,f795,f796,f797,f798,f799,f800,f508,f840,f841,f842,f843,f844,f845,f846,f847,f849,f850,f851,f852,f853,f854,f855,f856,f514,f857,f858,f859,f860,f861,f862,f863,f864,f866,f867,f868,f869,f870,f871,f872,f873,f766,f874,f876,f527,f754,f526,f679,f918,f521,f938,f944,f946,f951,f956,f948,f953,f954,f952,f947,f959,f961,f963,f949,f955,f523,f969,f978,f979,f980,f981,f982,f976,f983,f985,f977,f987,f988,f990,f991,f1021,f986,f1025,f1006,f1029,f989,f1035,f1037,f1023,f1039,f1041,f1004,f1044,f1046,f1003,f1052,f1053,f1054,f1055,f1056,f1058,f1059,f1060,f1061,f1062,f1063,f1064,f1065,f1067,f1068,f1069,f1070,f1075,f1076,f1080,f1081,f1079,f1084,f1027,f1087,f1089,f1031,f1092,f1094,f610,f1099,f1101,f1103,f1104,f1105,f1106,f1107,f1108,f1109,f1100,f1102,f1115,f618,f1119,f1121,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1122,f1131,f784,f1135,f1137,f1139,f1140,f1141,f1142,f1143,f1144,f1145,f1138,f1148,f793,f1152,f1154,f1156,f1157,f1158,f1159,f1160,f1161,f1162,f1155,f1164,f1066,f1167,f451,f1169,f1170,f491,f1173,f1175,f1176,f1177,f1178,f1179,f1180,f1181,f1172,f1182,f1183,f1184,f1133,f1174,f493,f1204,f1206,f1208,f1209,f1210,f1211,f1212,f1213,f1214,f1205,f1217,f1218,f1219,f1220,f1221,f1222,f1226,f1228,f1229,f1230,f1231,f1232,f1233,f1234,f1223,f1225,f1239,f1240,f1242,f1236,f1237,f1257,f1259,f1260,f1256,f1216,f1265,f1267,f1268,f1207,f1224,f1281,f1283,f1284,f1235,f1286,f1288,f1289,f1238,f1291,f1293,f1294,f1227,f1296,f1298,f1299,f1241,f1303,f1305,f1306,f1262,f1310,f1325,f1311,f1314,f1315,f1316,f1317,f1318,f1319,f1320,f1321,f1322,f1326,f1327,f1337,f1338,f1339,f1343,f1344,f1345,f1347,f1348,f1349,f1350,f1328,f1332,f1362,f1363,f1364,f1365,f1366,f1367,f1368,f1369,f1371,f1372,f1373,f1374,f1375,f1376,f1377,f1378,f1379,f1380,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1388,f1389,f1390,f1360,f1341,f1394,f1395,f1346,f1330,f1334,f1401,f1402,f1403,f1404,f1405,f1406,f1407,f1408,f1410,f1411,f1412,f1413,f1414,f1415,f1416,f1417,f1418,f1419,f1420,f1421,f1422,f1423,f1424,f1425,f1426,f1427,f1428,f1429,f1399,f1370,f1433,f1436,f1437,f1342,f1440,f1329,f1333,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f1453,f1454,f1455,f1456,f1457,f1458,f1459,f1460,f1461,f1462,f1463,f1464,f1465,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1474,f1438,f1477,f1331,f1335,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1490,f1491,f1492,f1493,f1494,f1495,f1496,f1497,f1498,f1499,f1500,f1501,f1502,f1503,f1504,f1505,f1506,f1507,f1508,f1509,f1510,f1511,f1443,f1480,f1409,f1515,f1516,f1517,f1518,f1519,f1520,f1521,f1522,f1432,f1523,f1524,f1525,f1526,f1527,f1528,f1529,f1530,f1434,f1435,f1548,f1549,f1551,f1552,f1553,f1554,f1555,f1336,f1557,f1558,f1560,f1561,f1562,f1563,f1564,f1309,f1567,f1568,f1569,f1571,f156,f430,f1584,f1585,f1586,f1588,f1589,f1590,f1592,f1593,f1594,f1595,f1596,f1597,f1598,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1587,f1591,f1630,f1639,f1640,f1642,f1643,f1645,f1646,f1647,f1648,f1649,f1650,f1651,f1652,f1653,f1654,f1655,f1657,f1658,f1659,f1660,f1661,f1662,f1663,f1664,f1666,f1667,f1668,f1669,f1637,f1670,f1672,f1673,f1677,f1665,f1682,f1683,f1687,f1680,f1688,f1644,f360,f1729,f1730,f1731,f1732,f1733,f1734,f1735,f1736,f1737,f1738,f1739,f1740,f1741,f1743,f1744,f1745,f1746,f1747,f1748,f1749,f1750,f1751,f1752,f1723,f1753,f1728,f1755,f1756,f1712,f1675,f1774,f1776,f1778,f1780,f1781,f1782,f1713,f1714,f1817,f1715,f362,f1820,f1821,f1822,f1823,f1824,f1825,f1826,f1827,f1828,f1829,f1830,f1831,f1832,f1834,f1835,f1836,f1837,f1838,f1839,f1840,f1841,f1842,f1843,f1638,f1844,f1846,f1848,f1850,f1851,f1852,f1656,f1854,f1856,f1858,f1859,f1860,f1861,f1862,f1676,f1864,f1866,f1868,f1869,f1870,f1871,f1872,f1679,f1876,f1878,f1880,f1881,f1882,f1883,f1884,f1684,f1889,f1891,f1893,f1894,f1895,f1896,f1897,f1324,f1902,f1903,f1904,f1905,f1717,f1910,f1911,f1912,f1913,f1914,f1915,f1916,f1907,f1942,f1928,f1929,f1930,f1932,f1933,f1937,f1938,f1939,f1941,f1779,f1965,f1967,f1969,f1970,f1971,f1972,f1973,f1978,f1979,f1641,f1980,f361,f1981,f1982,f1983,f1984,f1985,f1986,f1987,f1988,f1989,f1990,f1991,f1992,f1993,f1995,f1996,f1997,f1998,f1999,f2000,f2001,f2002,f2003,f2004,f1674,f2006,f2008,f2010,f2011,f2012,f2013,f2014,f1678,f2018,f2020,f2022,f2023,f2024,f2025,f2026,f1681,f2030,f2032,f2034,f2035,f2036,f2037,f2038,f1685,f2042,f2044,f2046,f2047,f2048,f2049,f2050,f1686,f2056,f2058,f2060,f2061,f2062,f2063,f2064,f1849,f2068,f2070,f2072,f2073,f2074,f2075,f2076,f1706,f950,f2093,f2086,f2094,f1709]) ).
fof(f2103,plain,
( ~ spl23_3
| ~ spl23_19
| ~ spl23_29
| spl23_31 ),
inference(avatar_contradiction_clause,[],[f2102]) ).
fof(f2102,plain,
( $false
| ~ spl23_3
| ~ spl23_19
| ~ spl23_29
| spl23_31 ),
inference(global_subsumption,[],[f151,f149,f148,f147,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f168,f167,f174,f172,f171,f170,f169,f175,f178,f177,f239,f176,f240,f233,f179,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f187,f251,f186,f253,f190,f255,f189,f257,f188,f259,f260,f193,f261,f195,f198,f197,f196,f201,f265,f205,f267,f204,f269,f203,f271,f272,f202,f273,f274,f209,f276,f208,f278,f207,f280,f281,f206,f282,f283,f211,f285,f210,f287,f213,f289,f212,f291,f231,f293,f294,f295,f296,f232,f297,f298,f299,f216,f301,f217,f303,f218,f305,f219,f307,f220,f221,f309,f223,f311,f222,f312,f224,f225,f226,f237,f152,f153,f157,f227,f236,f266,f154,f315,f241,f242,f316,f313,f318,f319,f173,f238,f155,f250,f310,f314,f150,f330,f331,f333,f268,f270,f338,f337,f339,f262,f341,f343,f263,f264,f275,f277,f279,f348,f347,f286,f354,f288,f351,f284,f363,f366,f367,f368,f300,f370,f371,f373,f374,f375,f369,f378,f379,f381,f382,f383,f384,f372,f385,f386,f387,f388,f389,f390,f391,f252,f352,f364,f393,f394,f392,f395,f365,f397,f398,f396,f399,f380,f404,f405,f406,f407,f408,f409,f410,f254,f412,f413,f358,f414,f415,f416,f417,f418,f419,f420,f401,f421,f290,f422,f423,f292,f424,f425,f302,f428,f429,f426,f427,f304,f432,f433,f431,f306,f435,f438,f439,f440,f441,f442,f308,f443,f449,f447,f450,f455,f457,f458,f459,f460,f452,f453,f461,f462,f465,f466,f463,f454,f469,f464,f470,f471,f472,f476,f481,f477,f487,f488,f489,f490,f483,f492,f494,f495,f496,f497,f498,f467,f499,f468,f500,f482,f502,f503,f504,f505,f506,f485,f509,f515,f517,f518,f520,f532,f538,f522,f539,f572,f573,f512,f576,f578,f579,f580,f582,f583,f524,f586,f585,f589,f528,f199,f611,f612,f613,f614,f615,f616,f617,f619,f620,f621,f622,f623,f624,f625,f626,f631,f632,f633,f634,f635,f636,f637,f630,f575,f643,f644,f645,f646,f647,f648,f641,f649,f642,f200,f669,f670,f674,f577,f680,f681,f682,f683,f684,f685,f678,f688,f689,f690,f691,f256,f729,f730,f581,f755,f756,f757,f758,f759,f760,f687,f764,f525,f769,f258,f785,f786,f787,f788,f789,f790,f791,f794,f795,f796,f797,f798,f799,f800,f508,f840,f841,f842,f843,f844,f845,f846,f847,f849,f850,f851,f852,f853,f854,f855,f856,f514,f857,f858,f859,f860,f861,f862,f863,f864,f866,f867,f868,f869,f870,f871,f872,f873,f766,f874,f876,f527,f754,f526,f679,f918,f521,f946,f951,f956,f948,f953,f954,f952,f947,f959,f961,f963,f949,f955,f523,f969,f978,f979,f980,f981,f982,f976,f983,f985,f977,f987,f988,f990,f991,f1021,f986,f1025,f1006,f1029,f989,f1035,f1037,f1023,f1039,f1041,f1004,f1044,f1046,f1003,f1052,f1053,f1054,f1055,f1056,f1058,f1059,f1060,f1061,f1062,f1063,f1064,f1065,f1067,f1068,f1069,f1070,f1075,f1076,f1080,f1081,f1079,f1084,f1027,f1087,f1089,f1031,f1092,f1094,f610,f1099,f1101,f1103,f1104,f1105,f1106,f1107,f1108,f1109,f1100,f1102,f1115,f618,f1119,f1121,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1122,f1131,f784,f1135,f1137,f1139,f1140,f1141,f1142,f1143,f1144,f1145,f1138,f1148,f793,f1152,f1154,f1156,f1157,f1158,f1159,f1160,f1161,f1162,f1155,f1164,f1066,f1167,f451,f1169,f1170,f491,f1173,f1175,f1176,f1177,f1178,f1179,f1180,f1181,f1172,f1182,f1183,f1184,f1133,f1174,f493,f1204,f1206,f1208,f1209,f1210,f1211,f1212,f1213,f1214,f1205,f1217,f1218,f1219,f1220,f1221,f1222,f1226,f1228,f1229,f1230,f1231,f1232,f1233,f1234,f1223,f1225,f1239,f1240,f1242,f1236,f1237,f1257,f1259,f1260,f1256,f1216,f1265,f1267,f1268,f1207,f1224,f1281,f1283,f1284,f1235,f1286,f1288,f1289,f1238,f1291,f1293,f1294,f1227,f1296,f1298,f1299,f1241,f1303,f1305,f1306,f1262,f1310,f1325,f1311,f1314,f1315,f1316,f1317,f1318,f1319,f1320,f1321,f1322,f1326,f1327,f1337,f1338,f1339,f1343,f1344,f1345,f1347,f1348,f1349,f1350,f1328,f1332,f1362,f1363,f1364,f1365,f1366,f1367,f1368,f1369,f1371,f1372,f1373,f1374,f1375,f1376,f1377,f1378,f1379,f1380,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1388,f1389,f1390,f1360,f1341,f1394,f1395,f1346,f1330,f1334,f1401,f1402,f1403,f1404,f1405,f1406,f1407,f1408,f1410,f1411,f1412,f1413,f1414,f1415,f1416,f1417,f1418,f1419,f1420,f1421,f1422,f1423,f1424,f1425,f1426,f1427,f1428,f1429,f1399,f1370,f1433,f1436,f1437,f1342,f1440,f1329,f1333,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f1453,f1454,f1455,f1456,f1457,f1458,f1459,f1460,f1461,f1462,f1463,f1464,f1465,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1474,f1438,f1477,f1331,f1335,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1490,f1491,f1492,f1493,f1494,f1495,f1496,f1497,f1498,f1499,f1500,f1501,f1502,f1503,f1504,f1505,f1506,f1507,f1508,f1509,f1510,f1511,f1443,f1480,f1409,f1515,f1516,f1517,f1518,f1519,f1520,f1521,f1522,f1432,f1523,f1524,f1525,f1526,f1527,f1528,f1529,f1530,f1434,f1435,f1548,f1549,f1551,f1552,f1553,f1554,f1555,f1336,f1557,f1558,f1560,f1561,f1562,f1563,f1564,f1309,f1567,f1568,f1569,f1571,f156,f430,f1584,f1585,f1586,f1588,f1589,f1590,f1592,f1593,f1594,f1595,f1596,f1597,f1598,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1587,f1591,f1630,f1639,f1640,f1642,f1643,f1645,f1646,f1647,f1648,f1649,f1650,f1651,f1652,f1653,f1654,f1655,f1657,f1658,f1659,f1660,f1661,f1662,f1663,f1664,f1666,f1667,f1668,f1669,f1637,f1670,f1672,f1673,f1677,f1665,f1682,f1683,f1687,f1680,f1688,f1644,f360,f1729,f1730,f1731,f1732,f1733,f1734,f1735,f1736,f1737,f1738,f1739,f1740,f1741,f1743,f1744,f1745,f1746,f1747,f1748,f1749,f1750,f1751,f1752,f1723,f1753,f1728,f1755,f1756,f1712,f1675,f1774,f1776,f1778,f1780,f1781,f1782,f1713,f1714,f1817,f1715,f362,f1820,f1821,f1822,f1823,f1824,f1825,f1826,f1827,f1828,f1829,f1830,f1831,f1832,f1834,f1835,f1836,f1837,f1838,f1839,f1840,f1841,f1842,f1843,f1638,f1844,f1846,f1848,f1850,f1851,f1852,f1656,f1854,f1856,f1858,f1859,f1860,f1861,f1862,f1676,f1864,f1866,f1868,f1869,f1870,f1871,f1872,f1679,f1876,f1878,f1880,f1881,f1882,f1883,f1884,f1684,f1889,f1891,f1893,f1894,f1895,f1896,f1897,f1324,f1902,f1903,f1904,f1905,f1717,f1917,f1910,f1911,f1912,f1913,f1914,f1915,f1916,f1907,f1942,f1928,f1929,f1930,f1932,f1933,f1937,f1938,f1939,f1941,f1779,f1965,f1967,f1969,f1970,f1971,f1972,f1973,f1978,f1979,f1641,f1980,f361,f1981,f1982,f1983,f1984,f1985,f1986,f1987,f1988,f1989,f1990,f1991,f1992,f1993,f1995,f1996,f1997,f1998,f1999,f2000,f2001,f2002,f2003,f2004,f1674,f2006,f2008,f2010,f2011,f2012,f2013,f2014,f1678,f2018,f2020,f2022,f2023,f2024,f2025,f2026,f1681,f2030,f2032,f2034,f2035,f2036,f2037,f2038,f1685,f2042,f2044,f2046,f2047,f2048,f2049,f2050,f1686,f2056,f2058,f2060,f2061,f2062,f2063,f2064,f1849,f2068,f2070,f2072,f2073,f2074,f2075,f2076,f1706,f950,f2093,f2086,f2094,f2098,f2101]) ).
fof(f2101,plain,
( sP1(range_of(sK9))
| ~ spl23_3
| ~ spl23_19
| ~ spl23_29 ),
inference(subsumption_resolution,[],[f1725,f532]) ).
fof(f1725,plain,
( sP1(range_of(sK9))
| ~ sP1(domain_of(sK9))
| ~ spl23_19
| ~ spl23_29 ),
inference(superposition,[],[f1079,f1644]) ).
fof(f2098,plain,
( relation_like(range_of(sK9))
| ~ spl23_3
| ~ spl23_19
| ~ spl23_29 ),
inference(subsumption_resolution,[],[f1726,f532]) ).
fof(f1726,plain,
( relation_like(range_of(sK9))
| ~ sP1(domain_of(sK9))
| ~ spl23_19
| ~ spl23_29 ),
inference(superposition,[],[f1084,f1644]) ).
fof(f1917,plain,
( ! [X0] :
( ~ member(X0,range_of(sK9))
| ordered_pair(sK12(X0),sK13(X0)) = X0 )
| ~ spl23_3
| ~ spl23_19
| ~ spl23_29 ),
inference(subsumption_resolution,[],[f1908,f532]) ).
fof(f1908,plain,
( ! [X0] :
( ~ member(X0,range_of(sK9))
| ordered_pair(sK12(X0),sK13(X0)) = X0
| ~ sP1(domain_of(sK9)) )
| ~ spl23_19
| ~ spl23_29 ),
inference(resolution,[],[f1717,f1003]) ).
fof(f538,plain,
( relation_like(domain_of(sK9))
| ~ spl23_3 ),
inference(resolution,[],[f532,f319]) ).
fof(f532,plain,
( sP1(domain_of(sK9))
| ~ spl23_3 ),
inference(avatar_component_clause,[],[f530]) ).
fof(f530,plain,
( spl23_3
<=> sP1(domain_of(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_3])]) ).
fof(f2100,plain,
( ~ spl23_3
| ~ spl23_19
| ~ spl23_29
| spl23_31 ),
inference(avatar_contradiction_clause,[],[f2099]) ).
fof(f2099,plain,
( $false
| ~ spl23_3
| ~ spl23_19
| ~ spl23_29
| spl23_31 ),
inference(global_subsumption,[],[f151,f149,f148,f147,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f168,f167,f174,f172,f171,f170,f169,f175,f178,f177,f239,f176,f240,f233,f179,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f187,f251,f186,f253,f190,f255,f189,f257,f188,f259,f260,f193,f261,f195,f198,f197,f196,f201,f265,f205,f267,f204,f269,f203,f271,f272,f202,f273,f274,f209,f276,f208,f278,f207,f280,f281,f206,f282,f283,f211,f285,f210,f287,f213,f289,f212,f291,f231,f293,f294,f295,f296,f232,f297,f298,f299,f216,f301,f217,f303,f218,f305,f219,f307,f220,f221,f309,f223,f311,f222,f312,f224,f225,f226,f237,f152,f153,f157,f227,f236,f266,f154,f315,f241,f242,f316,f313,f318,f319,f173,f238,f155,f250,f310,f314,f150,f330,f331,f333,f268,f270,f338,f337,f339,f262,f341,f343,f263,f264,f275,f277,f279,f348,f347,f286,f354,f288,f351,f284,f363,f366,f367,f368,f300,f370,f371,f373,f374,f375,f369,f378,f379,f381,f382,f383,f384,f372,f385,f386,f387,f388,f389,f390,f391,f252,f352,f364,f393,f394,f392,f395,f365,f397,f398,f396,f399,f380,f404,f405,f406,f407,f408,f409,f410,f254,f412,f413,f358,f414,f415,f416,f417,f418,f419,f420,f401,f421,f290,f422,f423,f292,f424,f425,f302,f428,f429,f426,f427,f304,f432,f433,f431,f306,f435,f438,f439,f440,f441,f442,f308,f443,f449,f447,f450,f455,f457,f458,f459,f460,f452,f453,f461,f462,f465,f466,f463,f454,f469,f464,f470,f471,f472,f476,f481,f477,f487,f488,f489,f490,f483,f492,f494,f495,f496,f497,f498,f467,f499,f468,f500,f482,f502,f503,f504,f505,f506,f485,f509,f515,f517,f518,f520,f532,f538,f522,f539,f572,f573,f512,f576,f578,f579,f580,f582,f583,f524,f586,f585,f589,f528,f199,f611,f612,f613,f614,f615,f616,f617,f619,f620,f621,f622,f623,f624,f625,f626,f631,f632,f633,f634,f635,f636,f637,f630,f575,f643,f644,f645,f646,f647,f648,f641,f649,f642,f200,f669,f670,f674,f577,f680,f681,f682,f683,f684,f685,f678,f688,f689,f690,f691,f256,f729,f730,f581,f755,f756,f757,f758,f759,f760,f687,f764,f525,f769,f258,f785,f786,f787,f788,f789,f790,f791,f794,f795,f796,f797,f798,f799,f800,f508,f840,f841,f842,f843,f844,f845,f846,f847,f849,f850,f851,f852,f853,f854,f855,f856,f514,f857,f858,f859,f860,f861,f862,f863,f864,f866,f867,f868,f869,f870,f871,f872,f873,f766,f874,f876,f527,f754,f526,f679,f918,f521,f946,f951,f956,f948,f953,f954,f952,f947,f959,f961,f963,f949,f955,f523,f969,f978,f979,f980,f981,f982,f976,f983,f985,f977,f987,f988,f990,f991,f1021,f986,f1025,f1006,f1029,f989,f1035,f1037,f1023,f1039,f1041,f1004,f1044,f1046,f1003,f1052,f1053,f1054,f1055,f1056,f1058,f1059,f1060,f1061,f1062,f1063,f1064,f1065,f1067,f1068,f1069,f1070,f1075,f1076,f1080,f1081,f1079,f1084,f1027,f1087,f1089,f1031,f1092,f1094,f610,f1099,f1101,f1103,f1104,f1105,f1106,f1107,f1108,f1109,f1100,f1102,f1115,f618,f1119,f1121,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1122,f1131,f784,f1135,f1137,f1139,f1140,f1141,f1142,f1143,f1144,f1145,f1138,f1148,f793,f1152,f1154,f1156,f1157,f1158,f1159,f1160,f1161,f1162,f1155,f1164,f1066,f1167,f451,f1169,f1170,f491,f1173,f1175,f1176,f1177,f1178,f1179,f1180,f1181,f1172,f1182,f1183,f1184,f1133,f1174,f493,f1204,f1206,f1208,f1209,f1210,f1211,f1212,f1213,f1214,f1205,f1217,f1218,f1219,f1220,f1221,f1222,f1226,f1228,f1229,f1230,f1231,f1232,f1233,f1234,f1223,f1225,f1239,f1240,f1242,f1236,f1237,f1257,f1259,f1260,f1256,f1216,f1265,f1267,f1268,f1207,f1224,f1281,f1283,f1284,f1235,f1286,f1288,f1289,f1238,f1291,f1293,f1294,f1227,f1296,f1298,f1299,f1241,f1303,f1305,f1306,f1262,f1310,f1325,f1311,f1314,f1315,f1316,f1317,f1318,f1319,f1320,f1321,f1322,f1326,f1327,f1337,f1338,f1339,f1343,f1344,f1345,f1347,f1348,f1349,f1350,f1328,f1332,f1362,f1363,f1364,f1365,f1366,f1367,f1368,f1369,f1371,f1372,f1373,f1374,f1375,f1376,f1377,f1378,f1379,f1380,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1388,f1389,f1390,f1360,f1341,f1394,f1395,f1346,f1330,f1334,f1401,f1402,f1403,f1404,f1405,f1406,f1407,f1408,f1410,f1411,f1412,f1413,f1414,f1415,f1416,f1417,f1418,f1419,f1420,f1421,f1422,f1423,f1424,f1425,f1426,f1427,f1428,f1429,f1399,f1370,f1433,f1436,f1437,f1342,f1440,f1329,f1333,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f1453,f1454,f1455,f1456,f1457,f1458,f1459,f1460,f1461,f1462,f1463,f1464,f1465,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1474,f1438,f1477,f1331,f1335,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1490,f1491,f1492,f1493,f1494,f1495,f1496,f1497,f1498,f1499,f1500,f1501,f1502,f1503,f1504,f1505,f1506,f1507,f1508,f1509,f1510,f1511,f1443,f1480,f1409,f1515,f1516,f1517,f1518,f1519,f1520,f1521,f1522,f1432,f1523,f1524,f1525,f1526,f1527,f1528,f1529,f1530,f1434,f1435,f1548,f1549,f1551,f1552,f1553,f1554,f1555,f1336,f1557,f1558,f1560,f1561,f1562,f1563,f1564,f1309,f1567,f1568,f1569,f1571,f156,f430,f1584,f1585,f1586,f1588,f1589,f1590,f1592,f1593,f1594,f1595,f1596,f1597,f1598,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1587,f1591,f1630,f1639,f1640,f1642,f1643,f1645,f1646,f1647,f1648,f1649,f1650,f1651,f1652,f1653,f1654,f1655,f1657,f1658,f1659,f1660,f1661,f1662,f1663,f1664,f1666,f1667,f1668,f1669,f1637,f1670,f1672,f1673,f1677,f1665,f1682,f1683,f1687,f1680,f1688,f1644,f360,f1729,f1730,f1731,f1732,f1733,f1734,f1735,f1736,f1737,f1738,f1739,f1740,f1741,f1743,f1744,f1745,f1746,f1747,f1748,f1749,f1750,f1751,f1752,f1723,f1753,f1728,f1755,f1756,f1712,f1675,f1774,f1776,f1778,f1780,f1781,f1782,f1713,f1714,f1817,f1715,f362,f1820,f1821,f1822,f1823,f1824,f1825,f1826,f1827,f1828,f1829,f1830,f1831,f1832,f1834,f1835,f1836,f1837,f1838,f1839,f1840,f1841,f1842,f1843,f1638,f1844,f1846,f1848,f1850,f1851,f1852,f1656,f1854,f1856,f1858,f1859,f1860,f1861,f1862,f1676,f1864,f1866,f1868,f1869,f1870,f1871,f1872,f1679,f1876,f1878,f1880,f1881,f1882,f1883,f1884,f1684,f1889,f1891,f1893,f1894,f1895,f1896,f1897,f1324,f1902,f1903,f1904,f1905,f1717,f1917,f1910,f1911,f1912,f1913,f1914,f1915,f1916,f1907,f1942,f1928,f1929,f1930,f1932,f1933,f1937,f1938,f1939,f1941,f1779,f1965,f1967,f1969,f1970,f1971,f1972,f1973,f1978,f1979,f1641,f1980,f361,f1981,f1982,f1983,f1984,f1985,f1986,f1987,f1988,f1989,f1990,f1991,f1992,f1993,f1995,f1996,f1997,f1998,f1999,f2000,f2001,f2002,f2003,f2004,f1674,f2006,f2008,f2010,f2011,f2012,f2013,f2014,f1678,f2018,f2020,f2022,f2023,f2024,f2025,f2026,f1681,f2030,f2032,f2034,f2035,f2036,f2037,f2038,f1685,f2042,f2044,f2046,f2047,f2048,f2049,f2050,f1686,f2056,f2058,f2060,f2061,f2062,f2063,f2064,f1849,f2068,f2070,f2072,f2073,f2074,f2075,f2076,f1706,f950,f2093,f2086,f2094,f2098]) ).
fof(f2096,plain,
( ~ spl23_27
| spl23_31 ),
inference(avatar_contradiction_clause,[],[f2095]) ).
fof(f2095,plain,
( $false
| ~ spl23_27
| spl23_31 ),
inference(subsumption_resolution,[],[f2094,f1619]) ).
fof(f1619,plain,
( relation_like(range_of(sK9))
| ~ spl23_27 ),
inference(resolution,[],[f1613,f319]) ).
fof(f1613,plain,
( sP1(range_of(sK9))
| ~ spl23_27 ),
inference(avatar_component_clause,[],[f1611]) ).
fof(f2091,plain,
( ~ spl23_31
| spl23_32
| ~ spl23_29 ),
inference(avatar_split_clause,[],[f1706,f1628,f2088,f2084]) ).
fof(f2088,plain,
( spl23_32
<=> sP0(range_of(sK9),range_of(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_32])]) ).
fof(f1635,plain,
( spl23_29
| spl23_30 ),
inference(avatar_split_clause,[],[f1591,f1632,f1628]) ).
fof(f1632,plain,
( spl23_30
<=> member(sK14(range_of(sK9)),sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_30])]) ).
fof(f1618,plain,
( spl23_27
| spl23_28 ),
inference(avatar_split_clause,[],[f1587,f1615,f1611]) ).
fof(f1579,plain,
( ~ spl23_1
| ~ spl23_2 ),
inference(avatar_contradiction_clause,[],[f1578]) ).
fof(f1578,plain,
( $false
| ~ spl23_1
| ~ spl23_2 ),
inference(global_subsumption,[],[f151,f149,f148,f147,f156,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f168,f167,f174,f172,f171,f170,f169,f175,f178,f177,f239,f176,f240,f233,f179,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f187,f251,f186,f253,f190,f255,f189,f257,f188,f259,f260,f193,f261,f195,f198,f197,f196,f201,f265,f205,f267,f204,f269,f203,f271,f272,f202,f273,f274,f209,f276,f208,f278,f207,f280,f281,f206,f282,f283,f211,f285,f210,f287,f213,f289,f212,f291,f231,f293,f294,f295,f296,f232,f297,f298,f299,f216,f301,f217,f303,f218,f305,f219,f307,f220,f221,f309,f223,f311,f222,f312,f224,f225,f226,f237,f152,f153,f157,f227,f236,f266,f154,f315,f241,f242,f316,f313,f318,f319,f173,f238,f155,f328,f250,f310,f314,f150,f330,f331,f333,f268,f270,f338,f337,f339,f262,f341,f343,f263,f264,f275,f277,f279,f348,f347,f286,f354,f288,f351,f284,f360,f361,f362,f363,f366,f367,f368,f300,f370,f371,f373,f374,f375,f369,f378,f379,f381,f382,f383,f384,f372,f385,f386,f387,f388,f389,f390,f391,f252,f352,f364,f393,f394,f392,f395,f365,f397,f398,f396,f399,f380,f404,f405,f406,f407,f408,f409,f410,f254,f412,f413,f358,f414,f415,f416,f417,f418,f419,f420,f401,f421,f290,f422,f423,f292,f424,f425,f302,f428,f429,f426,f427,f304,f432,f433,f434,f431,f306,f435,f438,f439,f440,f441,f442,f308,f443,f446,f449,f447,f450,f455,f457,f458,f459,f460,f452,f453,f461,f462,f465,f466,f463,f454,f469,f464,f470,f471,f472,f476,f481,f477,f487,f488,f489,f490,f483,f492,f494,f495,f496,f497,f498,f467,f499,f468,f500,f482,f502,f503,f504,f505,f506,f485,f509,f515,f517,f518,f520,f522,f539,f572,f573,f512,f576,f578,f579,f580,f582,f583,f524,f586,f585,f589,f528,f199,f611,f612,f613,f614,f615,f616,f617,f619,f620,f621,f622,f623,f624,f625,f626,f631,f632,f633,f634,f635,f636,f637,f630,f575,f643,f644,f645,f646,f647,f648,f641,f649,f642,f200,f669,f670,f674,f577,f680,f681,f682,f683,f684,f685,f678,f688,f689,f690,f691,f256,f729,f730,f581,f755,f756,f757,f758,f759,f760,f687,f764,f525,f769,f258,f785,f786,f787,f788,f789,f790,f791,f794,f795,f796,f797,f798,f799,f800,f508,f840,f841,f842,f843,f844,f845,f846,f847,f849,f850,f851,f852,f853,f854,f855,f856,f514,f857,f858,f859,f860,f861,f862,f863,f864,f866,f867,f868,f869,f870,f871,f872,f873,f766,f874,f876,f527,f754,f526,f679,f918,f521,f946,f950,f951,f956,f948,f953,f954,f952,f947,f959,f961,f963,f949,f955,f523,f1003,f1052,f1053,f1054,f1055,f1056,f1058,f1059,f1060,f1061,f1062,f1063,f1064,f1065,f1067,f1068,f1069,f1070,f1075,f1076,f1080,f1081,f1079,f1084,f610,f1099,f1101,f1103,f1104,f1105,f1106,f1107,f1108,f1109,f1100,f1102,f1115,f618,f1119,f1121,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1122,f1131,f784,f1135,f1137,f1139,f1140,f1141,f1142,f1143,f1144,f1145,f1138,f1148,f793,f1152,f1154,f1156,f1157,f1158,f1159,f1160,f1161,f1162,f1155,f1164,f1066,f1167,f451,f1169,f1170,f491,f1173,f1175,f1176,f1177,f1178,f1179,f1180,f1181,f1172,f1182,f1183,f1184,f1133,f1174,f493,f1204,f1206,f1208,f1209,f1210,f1211,f1212,f1213,f1214,f1205,f1217,f1218,f1219,f1220,f1221,f1222,f1216,f1265,f1267,f1268,f1207,f1262,f1310,f1325,f1311,f1324,f1314,f1315,f1316,f1317,f1318,f1319,f1320,f1321,f1322,f1326,f1327,f1337,f1338,f1339,f1343,f1344,f1345,f1347,f1348,f1349,f1350,f1351,f1328,f1332,f1362,f1363,f1364,f1365,f1366,f1367,f1368,f1369,f1382,f1360,f1341,f1394,f1395,f1346,f1330,f1334,f1401,f1402,f1403,f1404,f1405,f1406,f1407,f1408,f1421,f1399,f1342,f1440,f1329,f1333,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f1465,f1438,f1477,f1331,f1335,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1502,f1443,f1480,f1336,f1557,f1558,f1560,f1561,f1562,f1563,f1564,f1309,f1566,f1568,f1569,f1570,f1576,f1577,f324]) ).
fof(f1577,plain,
( ~ sP0(sK9,sK8)
| ~ spl23_2 ),
inference(subsumption_resolution,[],[f156,f328]) ).
fof(f1576,plain,
( ~ ilf_type(sK9,binary_relation_type)
| ~ spl23_2 ),
inference(global_subsumption,[],[f151,f149,f148,f147,f156,f158,f159,f162,f161,f160,f164,f234,f166,f235,f165,f168,f167,f174,f172,f171,f170,f169,f175,f178,f177,f239,f176,f240,f233,f179,f182,f243,f244,f183,f245,f246,f184,f247,f248,f185,f249,f187,f251,f186,f253,f190,f255,f189,f257,f188,f259,f260,f193,f261,f195,f198,f197,f196,f201,f265,f205,f267,f204,f269,f203,f271,f272,f202,f273,f274,f209,f276,f208,f278,f207,f280,f281,f206,f282,f283,f211,f285,f210,f287,f213,f289,f212,f291,f231,f293,f294,f295,f296,f232,f297,f298,f299,f216,f301,f217,f303,f218,f305,f219,f307,f220,f221,f309,f223,f311,f222,f312,f224,f225,f226,f237,f152,f153,f157,f227,f236,f266,f154,f315,f241,f242,f316,f313,f318,f319,f173,f238,f155,f328,f250,f310,f314,f150,f330,f331,f333,f268,f270,f338,f337,f339,f262,f341,f343,f263,f264,f275,f277,f279,f348,f347,f286,f354,f288,f351,f284,f360,f361,f362,f363,f366,f367,f368,f300,f370,f371,f373,f374,f375,f369,f378,f379,f381,f382,f383,f384,f372,f385,f386,f387,f388,f389,f390,f391,f252,f352,f364,f393,f394,f392,f395,f365,f397,f398,f396,f399,f380,f404,f405,f406,f407,f408,f409,f410,f254,f412,f413,f358,f414,f415,f416,f417,f418,f419,f420,f401,f421,f290,f422,f423,f292,f424,f425,f302,f428,f429,f426,f427,f304,f432,f433,f434,f431,f306,f435,f438,f439,f440,f441,f442,f308,f443,f446,f449,f447,f450,f455,f457,f458,f459,f460,f452,f453,f461,f462,f465,f466,f463,f454,f469,f464,f470,f471,f472,f476,f481,f477,f487,f488,f489,f490,f483,f492,f494,f495,f496,f497,f498,f467,f499,f468,f500,f482,f502,f503,f504,f505,f506,f485,f509,f515,f517,f518,f520,f522,f539,f572,f573,f512,f576,f578,f579,f580,f582,f583,f524,f586,f585,f589,f528,f199,f611,f612,f613,f614,f615,f616,f617,f619,f620,f621,f622,f623,f624,f625,f626,f631,f632,f633,f634,f635,f636,f637,f630,f575,f643,f644,f645,f646,f647,f648,f641,f649,f642,f200,f669,f670,f674,f577,f680,f681,f682,f683,f684,f685,f678,f688,f689,f690,f691,f256,f729,f730,f581,f755,f756,f757,f758,f759,f760,f687,f764,f525,f769,f258,f785,f786,f787,f788,f789,f790,f791,f794,f795,f796,f797,f798,f799,f800,f508,f840,f841,f842,f843,f844,f845,f846,f847,f849,f850,f851,f852,f853,f854,f855,f856,f514,f857,f858,f859,f860,f861,f862,f863,f864,f866,f867,f868,f869,f870,f871,f872,f873,f766,f874,f876,f527,f754,f526,f679,f918,f521,f946,f950,f951,f956,f948,f953,f954,f952,f947,f959,f961,f963,f949,f955,f523,f1003,f1052,f1053,f1054,f1055,f1056,f1058,f1059,f1060,f1061,f1062,f1063,f1064,f1065,f1067,f1068,f1069,f1070,f1075,f1076,f1080,f1081,f1079,f1084,f610,f1099,f1101,f1103,f1104,f1105,f1106,f1107,f1108,f1109,f1100,f1102,f1115,f618,f1119,f1121,f1123,f1124,f1125,f1126,f1127,f1128,f1129,f1122,f1131,f784,f1135,f1137,f1139,f1140,f1141,f1142,f1143,f1144,f1145,f1138,f1148,f793,f1152,f1154,f1156,f1157,f1158,f1159,f1160,f1161,f1162,f1155,f1164,f1066,f1167,f451,f1169,f1170,f491,f1173,f1175,f1176,f1177,f1178,f1179,f1180,f1181,f1172,f1182,f1183,f1184,f1133,f1174,f493,f1204,f1206,f1208,f1209,f1210,f1211,f1212,f1213,f1214,f1205,f1217,f1218,f1219,f1220,f1221,f1222,f1216,f1265,f1267,f1268,f1207,f1262,f1310,f1325,f1311,f1324,f1314,f1315,f1316,f1317,f1318,f1319,f1320,f1321,f1322,f1326,f1327,f1337,f1338,f1339,f1343,f1344,f1345,f1347,f1348,f1349,f1350,f1351,f1328,f1332,f1362,f1363,f1364,f1365,f1366,f1367,f1368,f1369,f1382,f1360,f1341,f1394,f1395,f1346,f1330,f1334,f1401,f1402,f1403,f1404,f1405,f1406,f1407,f1408,f1421,f1399,f1342,f1440,f1329,f1333,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f1465,f1438,f1477,f1331,f1335,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1502,f1443,f1480,f1336,f1557,f1558,f1560,f1561,f1562,f1563,f1564,f1309,f1566,f1568,f1569,f1570]) ).
fof(f1570,plain,
( sP0(sK9,sK8)
| ~ ilf_type(sK9,binary_relation_type)
| ~ spl23_2 ),
inference(superposition,[],[f1568,f434]) ).
fof(f1566,plain,
( ! [X0] :
( ~ member(sK5(sK9,X0),sK8)
| ~ ilf_type(sK9,binary_relation_type)
| sP0(sK9,X0) )
| ~ spl23_2 ),
inference(superposition,[],[f1309,f434]) ).
fof(f1351,plain,
( ! [X0] :
( ~ member(X0,sK8)
| ~ empty(sK9) )
| ~ spl23_2 ),
inference(superposition,[],[f1326,f434]) ).
fof(f446,plain,
( ilf_type(sK8,subset_type(sK8))
| ~ spl23_2 ),
inference(subsumption_resolution,[],[f444,f154]) ).
fof(f444,plain,
( ilf_type(sK8,subset_type(sK8))
| ~ ilf_type(sK9,relation_type(sK7,sK8))
| ~ spl23_2 ),
inference(superposition,[],[f308,f328]) ).
fof(f434,plain,
( sK8 = range_of(sK9)
| ~ spl23_2 ),
inference(forward_demodulation,[],[f430,f328]) ).
fof(f328,plain,
( sK8 = range(sK7,sK8,sK9)
| ~ spl23_2 ),
inference(avatar_component_clause,[],[f326]) ).
fof(f1575,plain,
( spl23_1
| ~ spl23_2 ),
inference(avatar_contradiction_clause,[],[f1574]) ).
fof(f1574,plain,
( $false
| spl23_1
| ~ spl23_2 ),
inference(subsumption_resolution,[],[f1573,f961]) ).
fof(f1573,plain,
( ~ relation_like(sK9)
| spl23_1
| ~ spl23_2 ),
inference(resolution,[],[f1572,f241]) ).
fof(f1572,plain,
( ~ ilf_type(sK9,binary_relation_type)
| spl23_1
| ~ spl23_2 ),
inference(subsumption_resolution,[],[f1570,f323]) ).
fof(f323,plain,
( ~ sP0(sK9,sK8)
| spl23_1 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f1359,plain,
( ~ spl23_25
| spl23_26
| ~ spl23_2 ),
inference(avatar_split_clause,[],[f1351,f326,f1357,f1353]) ).
fof(f1353,plain,
( spl23_25
<=> empty(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_25])]) ).
fof(f1357,plain,
( spl23_26
<=> ! [X0] : ~ member(X0,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_26])]) ).
fof(f1277,plain,
( spl23_23
| spl23_24 ),
inference(avatar_split_clause,[],[f1207,f1274,f1270]) ).
fof(f1270,plain,
( spl23_23
<=> member(sK14(sK21(power_set(domain_of(sK9)))),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_23])]) ).
fof(f1274,plain,
( spl23_24
<=> empty(sK21(power_set(domain_of(sK9)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_24])]) ).
fof(f1200,plain,
( ~ spl23_3
| spl23_22 ),
inference(avatar_contradiction_clause,[],[f1199]) ).
fof(f1199,plain,
( $false
| ~ spl23_3
| spl23_22 ),
inference(subsumption_resolution,[],[f1195,f532]) ).
fof(f1195,plain,
( ~ sP1(domain_of(sK9))
| spl23_22 ),
inference(resolution,[],[f1192,f1182]) ).
fof(f1192,plain,
( ~ sP1(sK21(power_set(domain_of(sK9))))
| spl23_22 ),
inference(avatar_component_clause,[],[f1191]) ).
fof(f1191,plain,
( spl23_22
<=> sP1(sK21(power_set(domain_of(sK9)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_22])]) ).
fof(f1194,plain,
( spl23_21
| spl23_22 ),
inference(avatar_split_clause,[],[f1174,f1191,f1187]) ).
fof(f1187,plain,
( spl23_21
<=> member(sK11(sK21(power_set(domain_of(sK9)))),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_21])]) ).
fof(f974,plain,
( spl23_19
| spl23_20 ),
inference(avatar_split_clause,[],[f523,f971,f967]) ).
fof(f971,plain,
( spl23_20
<=> member(sK14(sK14(power_set(domain_of(sK9)))),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_20])]) ).
fof(f943,plain,
( spl23_17
| spl23_18 ),
inference(avatar_split_clause,[],[f521,f940,f936]) ).
fof(f940,plain,
( spl23_18
<=> member(sK11(sK14(power_set(domain_of(sK9)))),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_18])]) ).
fof(f930,plain,
( spl23_15
| spl23_16 ),
inference(avatar_split_clause,[],[f679,f927,f923]) ).
fof(f923,plain,
( spl23_15
<=> member(sK14(sK20(domain_of(sK9))),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_15])]) ).
fof(f927,plain,
( spl23_16
<=> empty(sK20(domain_of(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_16])]) ).
fof(f914,plain,
( spl23_13
| spl23_14
| ~ spl23_5 ),
inference(avatar_split_clause,[],[f890,f541,f912,f908]) ).
fof(f908,plain,
( spl23_13
<=> sP1(domain_of(domain_of(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_13])]) ).
fof(f912,plain,
( spl23_14
<=> ! [X0] : member(sK11(domain_of(domain_of(sK9))),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_14])]) ).
fof(f541,plain,
( spl23_5
<=> empty(domain_of(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_5])]) ).
fof(f890,plain,
( ! [X0] :
( member(sK11(domain_of(domain_of(sK9))),X0)
| sP1(domain_of(domain_of(sK9))) )
| ~ spl23_5 ),
inference(resolution,[],[f887,f173]) ).
fof(f887,plain,
( ! [X0,X1] :
( ~ member(X0,domain_of(domain_of(sK9)))
| member(X0,X1) )
| ~ spl23_5 ),
inference(resolution,[],[f885,f485]) ).
fof(f885,plain,
( ! [X0] : ilf_type(domain_of(domain_of(sK9)),subset_type(X0))
| ~ spl23_5 ),
inference(subsumption_resolution,[],[f884,f543]) ).
fof(f543,plain,
( empty(domain_of(sK9))
| ~ spl23_5 ),
inference(avatar_component_clause,[],[f541]) ).
fof(f884,plain,
( ! [X0] :
( ilf_type(domain_of(domain_of(sK9)),subset_type(X0))
| ~ empty(domain_of(sK9)) )
| ~ spl23_5 ),
inference(resolution,[],[f571,f463]) ).
fof(f571,plain,
( ! [X0,X1] :
( ~ ilf_type(domain_of(sK9),relation_type(X0,X1))
| ilf_type(domain_of(domain_of(sK9)),subset_type(X0)) )
| ~ spl23_5 ),
inference(superposition,[],[f306,f549]) ).
fof(f549,plain,
( ! [X0,X1] : domain_of(domain_of(sK9)) = domain(X0,X1,domain_of(sK9))
| ~ spl23_5 ),
inference(resolution,[],[f543,f468]) ).
fof(f709,plain,
( spl23_4
| ~ spl23_5
| ~ spl23_11 ),
inference(avatar_contradiction_clause,[],[f708]) ).
fof(f708,plain,
( $false
| spl23_4
| ~ spl23_5
| ~ spl23_11 ),
inference(subsumption_resolution,[],[f698,f535]) ).
fof(f535,plain,
( ~ member(sK11(domain_of(sK9)),sK7)
| spl23_4 ),
inference(avatar_component_clause,[],[f534]) ).
fof(f534,plain,
( spl23_4
<=> member(sK11(domain_of(sK9)),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_4])]) ).
fof(f698,plain,
( member(sK11(domain_of(sK9)),sK7)
| ~ spl23_5
| ~ spl23_11 ),
inference(superposition,[],[f653,f696]) ).
fof(f696,plain,
( domain_of(sK9) = sK20(domain_of(sK9))
| ~ spl23_5 ),
inference(resolution,[],[f693,f543]) ).
fof(f693,plain,
( ! [X0] :
( ~ empty(X0)
| sK20(X0) = domain_of(sK9) )
| ~ spl23_5 ),
inference(resolution,[],[f678,f553]) ).
fof(f553,plain,
( ! [X0] :
( ~ empty(X0)
| domain_of(sK9) = X0 )
| ~ spl23_5 ),
inference(resolution,[],[f543,f343]) ).
fof(f653,plain,
( member(sK11(sK20(domain_of(sK9))),sK7)
| ~ spl23_11 ),
inference(avatar_component_clause,[],[f651]) ).
fof(f651,plain,
( spl23_11
<=> member(sK11(sK20(domain_of(sK9))),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_11])]) ).
fof(f663,plain,
( ~ spl23_5
| spl23_12 ),
inference(avatar_contradiction_clause,[],[f662]) ).
fof(f662,plain,
( $false
| ~ spl23_5
| spl23_12 ),
inference(subsumption_resolution,[],[f659,f543]) ).
fof(f659,plain,
( ~ empty(domain_of(sK9))
| spl23_12 ),
inference(resolution,[],[f656,f641]) ).
fof(f656,plain,
( ~ sP1(sK20(domain_of(sK9)))
| spl23_12 ),
inference(avatar_component_clause,[],[f655]) ).
fof(f655,plain,
( spl23_12
<=> sP1(sK20(domain_of(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_12])]) ).
fof(f658,plain,
( spl23_11
| spl23_12 ),
inference(avatar_split_clause,[],[f642,f655,f651]) ).
fof(f606,plain,
( ~ spl23_9
| spl23_10 ),
inference(avatar_split_clause,[],[f589,f603,f599]) ).
fof(f599,plain,
( spl23_9
<=> subset(sK7,domain_of(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_9])]) ).
fof(f603,plain,
( spl23_10
<=> sK7 = domain_of(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_10])]) ).
fof(f597,plain,
( ~ spl23_7
| spl23_8 ),
inference(avatar_split_clause,[],[f585,f595,f591]) ).
fof(f591,plain,
( spl23_7
<=> empty(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_7])]) ).
fof(f595,plain,
( spl23_8
<=> ! [X0] : subset(domain_of(sK9),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_8])]) ).
fof(f548,plain,
( spl23_5
| spl23_6 ),
inference(avatar_split_clause,[],[f522,f545,f541]) ).
fof(f545,plain,
( spl23_6
<=> member(sK14(domain_of(sK9)),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_6])]) ).
fof(f537,plain,
( spl23_3
| spl23_4 ),
inference(avatar_split_clause,[],[f520,f534,f530]) ).
fof(f329,plain,
( spl23_1
| spl23_2 ),
inference(avatar_split_clause,[],[f155,f326,f322]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : SET660+3 : TPTP v8.1.2. Released v2.2.0.
% 0.03/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.37 % Computer : n002.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Tue Apr 30 01:35:39 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.14/0.37 % (25617)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.39 % (25620)WARNING: value z3 for option sas not known
% 0.21/0.39 % (25622)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)
% 0.21/0.39 % (25621)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.39 % (25624)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)
% 0.21/0.39 % (25619)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.39 % (25623)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.21/0.39 % (25620)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)
% 0.21/0.39 % (25618)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.40 TRYING [1]
% 0.21/0.40 TRYING [2]
% 0.21/0.41 TRYING [3]
% 0.21/0.42 TRYING [1]
% 0.21/0.43 TRYING [2]
% 0.21/0.44 TRYING [4]
% 0.21/0.46 % (25620)First to succeed.
% 0.21/0.48 TRYING [3]
% 0.21/0.49 % (25620)Refutation found. Thanks to Tanya!
% 0.21/0.49 % SZS status Theorem for theBenchmark
% 0.21/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.49 % (25620)------------------------------
% 0.21/0.49 % (25620)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.49 % (25620)Termination reason: Refutation
% 0.21/0.49
% 0.21/0.49 % (25620)Memory used [KB]: 2101
% 0.21/0.49 % (25620)Time elapsed: 0.096 s
% 0.21/0.49 % (25620)Instructions burned: 211 (million)
% 0.21/0.49 % (25620)------------------------------
% 0.21/0.49 % (25620)------------------------------
% 0.21/0.49 % (25617)Success in time 0.118 s
%------------------------------------------------------------------------------