TSTP Solution File: NUM537+2 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM537+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 08:37:16 EDT 2024
% Result : Theorem 0.20s 0.43s
% Output : Refutation 0.20s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
fof(f1636,plain,
$false,
inference(avatar_sat_refutation,[],[f198,f211,f237,f276,f294,f299,f373,f404,f406,f408,f410,f412,f414,f416,f418,f420,f422,f424,f426,f428,f430,f432,f434,f436,f438,f440,f442,f444,f446,f448,f450,f452,f454,f456,f458,f460,f462,f464,f507,f537,f541,f600,f645,f690,f694,f698,f704,f706,f709,f711,f713,f715,f731,f790,f794,f828,f994,f1042,f1094,f1098,f1102,f1104,f1106,f1108,f1110,f1112,f1114,f1116,f1118,f1142,f1200,f1204,f1270,f1272,f1281,f1348,f1349,f1369,f1375,f1414,f1436,f1574,f1589,f1608,f1634]) ).
fof(f1634,plain,
( spl16_2
| spl16_17
| ~ spl16_18
| ~ spl16_30 ),
inference(avatar_contradiction_clause,[],[f1633]) ).
fof(f1633,plain,
( $false
| spl16_2
| spl16_17
| ~ spl16_18
| ~ spl16_30 ),
inference(subsumption_resolution,[],[f1632,f684]) ).
fof(f684,plain,
( xx != sK11
| spl16_17 ),
inference(avatar_component_clause,[],[f683]) ).
fof(f683,plain,
( spl16_17
<=> xx = sK11 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_17])]) ).
fof(f1632,plain,
( xx = sK11
| spl16_2
| ~ spl16_18
| ~ spl16_30 ),
inference(subsumption_resolution,[],[f1629,f688]) ).
fof(f688,plain,
( aElementOf0(sK11,sdtpldt0(xS,xx))
| ~ spl16_18 ),
inference(avatar_component_clause,[],[f687]) ).
fof(f687,plain,
( spl16_18
<=> aElementOf0(sK11,sdtpldt0(xS,xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_18])]) ).
fof(f1629,plain,
( ~ aElementOf0(sK11,sdtpldt0(xS,xx))
| xx = sK11
| spl16_2
| ~ spl16_30 ),
inference(resolution,[],[f1435,f490]) ).
fof(f490,plain,
( ~ aElementOf0(sK11,sdtmndt0(sdtpldt0(xS,xx),xx))
| spl16_2 ),
inference(global_subsumption,[],[f121,f119,f177,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f115,f465,f113,f466,f111,f467,f133,f469,f123,f470,f134,f471,f124,f472,f128,f473,f118,f474,f386,f178,f476,f220,f176,f478,f132,f479,f122,f480,f116,f109,f481,f112,f482,f106,f483,f110,f484,f104,f485,f117,f108,f486,f107,f487,f105,f488,f196,f114,f489,f127]) ).
fof(f127,plain,
( ~ aElementOf0(sK11,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ sP2 ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
( ( ~ aElementOf0(sK11,sdtmndt0(sdtpldt0(xS,xx),xx))
& aElementOf0(sK11,xS) )
| ~ sP2 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f71,f72]) ).
fof(f72,plain,
( ? [X0] :
( ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
& aElementOf0(X0,xS) )
=> ( ~ aElementOf0(sK11,sdtmndt0(sdtpldt0(xS,xx),xx))
& aElementOf0(sK11,xS) ) ),
introduced(choice_axiom,[]) ).
fof(f71,plain,
( ? [X0] :
( ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
& aElementOf0(X0,xS) )
| ~ sP2 ),
inference(rectify,[],[f70]) ).
fof(f70,plain,
( ? [X5] :
( ~ aElementOf0(X5,sdtmndt0(sdtpldt0(xS,xx),xx))
& aElementOf0(X5,xS) )
| ~ sP2 ),
inference(nnf_transformation,[],[f48]) ).
fof(f48,plain,
( ? [X5] :
( ~ aElementOf0(X5,sdtmndt0(sdtpldt0(xS,xx),xx))
& aElementOf0(X5,xS) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f489,plain,
( sP2
| spl16_2 ),
inference(global_subsumption,[],[f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f115,f465,f113,f466,f111,f467,f133,f469,f123,f470,f134,f471,f124,f472,f128,f473,f118,f474,f386,f178,f476,f220,f176,f478,f132,f479,f122,f480,f116,f109,f481,f112,f482,f106,f483,f110,f484,f104,f485,f117,f108,f486,f107,f487,f105,f488,f196,f114]) ).
fof(f114,plain,
( sP2
| ~ sP6 ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
( ( ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
& sP2
& sP1
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& sP0
& aSet0(sdtpldt0(xS,xx)) )
| ~ sP6 ),
inference(nnf_transformation,[],[f52]) ).
fof(f52,plain,
( ( ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
& sP2
& sP1
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& sP0
& aSet0(sdtpldt0(xS,xx)) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f196,plain,
( ~ sP7
| spl16_2 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f195,plain,
( spl16_2
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_2])]) ).
fof(f488,plain,
( ~ sP7
| spl16_2 ),
inference(global_subsumption,[],[f114,f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f196,f115,f465,f113,f466,f111,f467,f133,f469,f123,f470,f134,f471,f124,f472,f128,f473,f118,f474,f386,f178,f476,f220,f176,f478,f132,f479,f122,f480,f116,f109,f481,f112,f482,f106,f483,f110,f484,f104,f485,f117,f108,f486,f107,f487,f105]) ).
fof(f105,plain,
( sP3
| ~ sP7 ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
( ( ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
& sP5
& sP4
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& sP3
& aSet0(sdtpldt0(xS,xx)) )
| ~ sP7 ),
inference(nnf_transformation,[],[f53]) ).
fof(f53,plain,
( ( ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
& sP5
& sP4
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& sP3
& aSet0(sdtpldt0(xS,xx)) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f487,plain,
( ~ sP7
| spl16_2 ),
inference(global_subsumption,[],[f114,f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f196,f105,f115,f465,f113,f466,f111,f467,f133,f469,f123,f470,f134,f471,f124,f472,f128,f473,f118,f474,f386,f178,f476,f220,f176,f478,f132,f479,f122,f480,f116,f109,f481,f112,f482,f106,f483,f110,f484,f104,f485,f117,f108,f486,f107]) ).
fof(f107,plain,
( sP4
| ~ sP7 ),
inference(cnf_transformation,[],[f59]) ).
fof(f486,plain,
( ~ sP7
| spl16_2 ),
inference(global_subsumption,[],[f114,f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f196,f105,f107,f115,f465,f113,f466,f111,f467,f133,f469,f123,f470,f134,f471,f124,f472,f128,f473,f118,f474,f386,f178,f476,f220,f176,f478,f132,f479,f122,f480,f116,f109,f481,f112,f482,f106,f483,f110,f484,f104,f485,f117,f108]) ).
fof(f108,plain,
( sP5
| ~ sP7 ),
inference(cnf_transformation,[],[f59]) ).
fof(f117,plain,
( ~ aElementOf0(sK10,xS)
| ~ sP5 ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
( ( ~ aElementOf0(sK10,xS)
& aElementOf0(sK10,sdtmndt0(sdtpldt0(xS,xx),xx)) )
| ~ sP5 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f62,f63]) ).
fof(f63,plain,
( ? [X0] :
( ~ aElementOf0(X0,xS)
& aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
=> ( ~ aElementOf0(sK10,xS)
& aElementOf0(sK10,sdtmndt0(sdtpldt0(xS,xx),xx)) ) ),
introduced(choice_axiom,[]) ).
fof(f62,plain,
( ? [X0] :
( ~ aElementOf0(X0,xS)
& aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
| ~ sP5 ),
inference(rectify,[],[f61]) ).
fof(f61,plain,
( ? [X2] :
( ~ aElementOf0(X2,xS)
& aElementOf0(X2,sdtmndt0(sdtpldt0(xS,xx),xx)) )
| ~ sP5 ),
inference(nnf_transformation,[],[f51]) ).
fof(f51,plain,
( ? [X2] :
( ~ aElementOf0(X2,xS)
& aElementOf0(X2,sdtmndt0(sdtpldt0(xS,xx),xx)) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f485,plain,
( ~ sP7
| spl16_2 ),
inference(global_subsumption,[],[f114,f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f196,f105,f107,f108,f117,f115,f465,f113,f466,f111,f467,f133,f469,f123,f470,f134,f471,f124,f472,f128,f473,f118,f474,f386,f178,f476,f220,f176,f478,f132,f479,f122,f480,f116,f109,f481,f112,f482,f106,f483,f110,f484,f104]) ).
fof(f104,plain,
( aSet0(sdtpldt0(xS,xx))
| ~ sP7 ),
inference(cnf_transformation,[],[f59]) ).
fof(f484,plain,
( aSet0(sdtpldt0(xS,xx))
| spl16_2 ),
inference(global_subsumption,[],[f114,f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f196,f105,f107,f108,f117,f104,f115,f465,f113,f466,f111,f467,f133,f469,f123,f470,f134,f471,f124,f472,f128,f473,f118,f474,f386,f178,f476,f220,f176,f478,f132,f479,f122,f480,f116,f109,f481,f112,f482,f106,f483,f110]) ).
fof(f110,plain,
( aSet0(sdtpldt0(xS,xx))
| ~ sP6 ),
inference(cnf_transformation,[],[f60]) ).
fof(f483,plain,
( ~ sP7
| spl16_2 ),
inference(global_subsumption,[],[f114,f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f196,f105,f107,f108,f117,f104,f110,f115,f465,f113,f466,f111,f467,f133,f469,f123,f470,f134,f471,f124,f472,f128,f473,f118,f474,f386,f178,f476,f220,f176,f478,f132,f479,f122,f480,f116,f109,f481,f112,f482,f106]) ).
fof(f106,plain,
( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ sP7 ),
inference(cnf_transformation,[],[f59]) ).
fof(f482,plain,
( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| spl16_2 ),
inference(global_subsumption,[],[f114,f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f196,f105,f107,f108,f117,f104,f110,f106,f115,f465,f113,f466,f111,f467,f133,f469,f123,f470,f134,f471,f124,f472,f128,f473,f118,f474,f386,f178,f476,f220,f176,f478,f132,f479,f122,f480,f116,f109,f481,f112]) ).
fof(f112,plain,
( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ sP6 ),
inference(cnf_transformation,[],[f60]) ).
fof(f481,plain,
( ~ sP7
| spl16_2 ),
inference(global_subsumption,[],[f114,f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f196,f105,f107,f108,f117,f104,f110,f106,f112,f115,f465,f113,f466,f111,f467,f133,f469,f123,f470,f134,f471,f124,f472,f128,f473,f118,f474,f386,f178,f476,f220,f176,f478,f132,f479,f122,f480,f116,f109]) ).
fof(f109,plain,
( ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
| ~ sP7 ),
inference(cnf_transformation,[],[f59]) ).
fof(f116,plain,
( aElementOf0(sK10,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ sP5 ),
inference(cnf_transformation,[],[f64]) ).
fof(f480,plain,
( ! [X0] :
( aElement0(X0)
| ~ aElementOf0(X0,sdtpldt0(xS,xx)) )
| spl16_2 ),
inference(global_subsumption,[],[f114,f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f196,f105,f107,f108,f117,f104,f110,f106,f112,f109,f116,f115,f465,f113,f466,f111,f467,f133,f469,f123,f470,f134,f471,f124,f472,f128,f473,f118,f474,f386,f178,f476,f220,f176,f478,f132,f479,f122]) ).
fof(f122,plain,
! [X0] :
( aElement0(X0)
| ~ aElementOf0(X0,sdtpldt0(xS,xx))
| ~ sP3 ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
( ! [X0] :
( ( aElementOf0(X0,sdtpldt0(xS,xx))
| ( xx != X0
& ~ aElementOf0(X0,xS) )
| ~ aElement0(X0) )
& ( ( ( xx = X0
| aElementOf0(X0,xS) )
& aElement0(X0) )
| ~ aElementOf0(X0,sdtpldt0(xS,xx)) ) )
| ~ sP3 ),
inference(flattening,[],[f68]) ).
fof(f68,plain,
( ! [X0] :
( ( aElementOf0(X0,sdtpldt0(xS,xx))
| ( xx != X0
& ~ aElementOf0(X0,xS) )
| ~ aElement0(X0) )
& ( ( ( xx = X0
| aElementOf0(X0,xS) )
& aElement0(X0) )
| ~ aElementOf0(X0,sdtpldt0(xS,xx)) ) )
| ~ sP3 ),
inference(nnf_transformation,[],[f49]) ).
fof(f49,plain,
( ! [X0] :
( aElementOf0(X0,sdtpldt0(xS,xx))
<=> ( ( xx = X0
| aElementOf0(X0,xS) )
& aElement0(X0) ) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f479,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtpldt0(xS,xx))
| aElement0(X0) )
| spl16_2 ),
inference(global_subsumption,[],[f114,f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f196,f105,f107,f108,f117,f104,f110,f106,f112,f109,f116,f122,f115,f465,f113,f466,f111,f467,f133,f469,f123,f470,f134,f471,f124,f472,f128,f473,f118,f474,f386,f178,f476,f220,f176,f478,f132]) ).
fof(f132,plain,
! [X0] :
( aElement0(X0)
| ~ aElementOf0(X0,sdtpldt0(xS,xx))
| ~ sP0 ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
( ! [X0] :
( ( aElementOf0(X0,sdtpldt0(xS,xx))
| ( xx != X0
& ~ aElementOf0(X0,xS) )
| ~ aElement0(X0) )
& ( ( ( xx = X0
| aElementOf0(X0,xS) )
& aElement0(X0) )
| ~ aElementOf0(X0,sdtpldt0(xS,xx)) ) )
| ~ sP0 ),
inference(rectify,[],[f78]) ).
fof(f78,plain,
( ! [X3] :
( ( aElementOf0(X3,sdtpldt0(xS,xx))
| ( xx != X3
& ~ aElementOf0(X3,xS) )
| ~ aElement0(X3) )
& ( ( ( xx = X3
| aElementOf0(X3,xS) )
& aElement0(X3) )
| ~ aElementOf0(X3,sdtpldt0(xS,xx)) ) )
| ~ sP0 ),
inference(flattening,[],[f77]) ).
fof(f77,plain,
( ! [X3] :
( ( aElementOf0(X3,sdtpldt0(xS,xx))
| ( xx != X3
& ~ aElementOf0(X3,xS) )
| ~ aElement0(X3) )
& ( ( ( xx = X3
| aElementOf0(X3,xS) )
& aElement0(X3) )
| ~ aElementOf0(X3,sdtpldt0(xS,xx)) ) )
| ~ sP0 ),
inference(nnf_transformation,[],[f46]) ).
fof(f46,plain,
( ! [X3] :
( aElementOf0(X3,sdtpldt0(xS,xx))
<=> ( ( xx = X3
| aElementOf0(X3,xS) )
& aElement0(X3) ) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f478,plain,
( ~ aElementOf0(xx,sdtmndt0(sdtpldt0(xS,xx),xx))
| spl16_2 ),
inference(global_subsumption,[],[f114,f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f196,f105,f107,f108,f117,f104,f110,f106,f112,f109,f116,f122,f132,f115,f465,f113,f466,f111,f467,f133,f469,f123,f470,f134,f471,f124,f472,f128,f473,f118,f474,f386,f178,f476,f220,f176]) ).
fof(f176,plain,
( ~ aElementOf0(xx,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ sP4 ),
inference(equality_resolution,[],[f120]) ).
fof(f120,plain,
! [X0] :
( xx != X0
| ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ sP4 ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
( ! [X0] :
( ( aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
| xx = X0
| ~ aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aElement0(X0) )
& ( ( xx != X0
& aElementOf0(X0,sdtpldt0(xS,xx))
& aElement0(X0) )
| ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) ) )
| ~ sP4 ),
inference(rectify,[],[f66]) ).
fof(f66,plain,
( ! [X1] :
( ( aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
| xx = X1
| ~ aElementOf0(X1,sdtpldt0(xS,xx))
| ~ aElement0(X1) )
& ( ( xx != X1
& aElementOf0(X1,sdtpldt0(xS,xx))
& aElement0(X1) )
| ~ aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx)) ) )
| ~ sP4 ),
inference(flattening,[],[f65]) ).
fof(f65,plain,
( ! [X1] :
( ( aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
| xx = X1
| ~ aElementOf0(X1,sdtpldt0(xS,xx))
| ~ aElement0(X1) )
& ( ( xx != X1
& aElementOf0(X1,sdtpldt0(xS,xx))
& aElement0(X1) )
| ~ aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx)) ) )
| ~ sP4 ),
inference(nnf_transformation,[],[f50]) ).
fof(f50,plain,
( ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
<=> ( xx != X1
& aElementOf0(X1,sdtpldt0(xS,xx))
& aElement0(X1) ) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f220,plain,
( aElementOf0(xx,sdtpldt0(xS,xx))
| ~ sP3 ),
inference(subsumption_resolution,[],[f177,f138]) ).
fof(f476,plain,
( ~ aElementOf0(xx,sdtmndt0(sdtpldt0(xS,xx),xx))
| spl16_2 ),
inference(global_subsumption,[],[f114,f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f196,f105,f107,f108,f117,f104,f110,f106,f112,f109,f116,f122,f132,f176,f220,f115,f465,f113,f466,f111,f467,f133,f469,f123,f470,f134,f471,f124,f472,f128,f473,f118,f474,f386,f178]) ).
fof(f178,plain,
( ~ aElementOf0(xx,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ sP1 ),
inference(equality_resolution,[],[f130]) ).
fof(f130,plain,
! [X0] :
( xx != X0
| ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ sP1 ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
( ! [X0] :
( ( aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
| xx = X0
| ~ aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aElement0(X0) )
& ( ( xx != X0
& aElementOf0(X0,sdtpldt0(xS,xx))
& aElement0(X0) )
| ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) ) )
| ~ sP1 ),
inference(rectify,[],[f75]) ).
fof(f75,plain,
( ! [X4] :
( ( aElementOf0(X4,sdtmndt0(sdtpldt0(xS,xx),xx))
| xx = X4
| ~ aElementOf0(X4,sdtpldt0(xS,xx))
| ~ aElement0(X4) )
& ( ( xx != X4
& aElementOf0(X4,sdtpldt0(xS,xx))
& aElement0(X4) )
| ~ aElementOf0(X4,sdtmndt0(sdtpldt0(xS,xx),xx)) ) )
| ~ sP1 ),
inference(flattening,[],[f74]) ).
fof(f74,plain,
( ! [X4] :
( ( aElementOf0(X4,sdtmndt0(sdtpldt0(xS,xx),xx))
| xx = X4
| ~ aElementOf0(X4,sdtpldt0(xS,xx))
| ~ aElement0(X4) )
& ( ( xx != X4
& aElementOf0(X4,sdtpldt0(xS,xx))
& aElement0(X4) )
| ~ aElementOf0(X4,sdtmndt0(sdtpldt0(xS,xx),xx)) ) )
| ~ sP1 ),
inference(nnf_transformation,[],[f47]) ).
fof(f47,plain,
( ! [X4] :
( aElementOf0(X4,sdtmndt0(sdtpldt0(xS,xx),xx))
<=> ( xx != X4
& aElementOf0(X4,sdtpldt0(xS,xx))
& aElement0(X4) ) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f386,plain,
( aElementOf0(xx,sdtpldt0(xS,xx))
| ~ sP0 ),
inference(subsumption_resolution,[],[f179,f138]) ).
fof(f474,plain,
( ! [X0] :
( aElement0(X0)
| ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
| spl16_2 ),
inference(global_subsumption,[],[f114,f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f196,f105,f107,f108,f117,f104,f110,f106,f112,f109,f116,f122,f132,f176,f220,f178,f386,f115,f465,f113,f466,f111,f467,f133,f469,f123,f470,f134,f471,f124,f472,f128,f473,f118]) ).
fof(f118,plain,
! [X0] :
( aElement0(X0)
| ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ sP4 ),
inference(cnf_transformation,[],[f67]) ).
fof(f473,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElement0(X0) )
| spl16_2 ),
inference(global_subsumption,[],[f114,f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f196,f105,f107,f108,f117,f104,f110,f106,f112,f109,f116,f122,f132,f176,f220,f178,f386,f118,f115,f465,f113,f466,f111,f467,f133,f469,f123,f470,f134,f471,f124,f472,f128]) ).
fof(f128,plain,
! [X0] :
( aElement0(X0)
| ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ sP1 ),
inference(cnf_transformation,[],[f76]) ).
fof(f472,plain,
( ! [X0] :
( aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aElementOf0(X0,xS)
| ~ aElement0(X0) )
| spl16_2 ),
inference(global_subsumption,[],[f114,f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f196,f105,f107,f108,f117,f104,f110,f106,f112,f109,f116,f122,f132,f176,f220,f178,f386,f118,f128,f115,f465,f113,f466,f111,f467,f133,f469,f123,f470,f134,f471,f124]) ).
fof(f124,plain,
! [X0] :
( aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aElementOf0(X0,xS)
| ~ aElement0(X0)
| ~ sP3 ),
inference(cnf_transformation,[],[f69]) ).
fof(f471,plain,
( ! [X0] :
( aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aElementOf0(X0,xS)
| ~ aElement0(X0) )
| spl16_2 ),
inference(global_subsumption,[],[f114,f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f196,f105,f107,f108,f117,f104,f110,f106,f112,f109,f116,f122,f132,f176,f220,f178,f386,f118,f128,f124,f115,f465,f113,f466,f111,f467,f133,f469,f123,f470,f134]) ).
fof(f134,plain,
! [X0] :
( aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aElementOf0(X0,xS)
| ~ aElement0(X0)
| ~ sP0 ),
inference(cnf_transformation,[],[f79]) ).
fof(f470,plain,
( ! [X0] :
( xx = X0
| aElementOf0(X0,xS)
| ~ aElementOf0(X0,sdtpldt0(xS,xx)) )
| spl16_2 ),
inference(global_subsumption,[],[f114,f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f196,f105,f107,f108,f117,f104,f110,f106,f112,f109,f116,f122,f132,f176,f220,f178,f386,f118,f128,f124,f134,f115,f465,f113,f466,f111,f467,f133,f469,f123]) ).
fof(f123,plain,
! [X0] :
( xx = X0
| aElementOf0(X0,xS)
| ~ aElementOf0(X0,sdtpldt0(xS,xx))
| ~ sP3 ),
inference(cnf_transformation,[],[f69]) ).
fof(f469,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtpldt0(xS,xx))
| aElementOf0(X0,xS)
| xx = X0 )
| spl16_2 ),
inference(global_subsumption,[],[f114,f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f196,f105,f107,f108,f117,f104,f110,f106,f112,f109,f116,f122,f132,f176,f220,f178,f386,f118,f128,f124,f134,f123,f115,f465,f113,f466,f111,f467,f133]) ).
fof(f133,plain,
! [X0] :
( xx = X0
| aElementOf0(X0,xS)
| ~ aElementOf0(X0,sdtpldt0(xS,xx))
| ~ sP0 ),
inference(cnf_transformation,[],[f79]) ).
fof(f467,plain,
( sP0
| spl16_2 ),
inference(global_subsumption,[],[f114,f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f196,f105,f107,f108,f117,f104,f110,f106,f112,f109,f116,f122,f132,f176,f220,f178,f386,f118,f128,f124,f134,f123,f133,f115,f465,f113,f466,f111]) ).
fof(f111,plain,
( sP0
| ~ sP6 ),
inference(cnf_transformation,[],[f60]) ).
fof(f466,plain,
( sP1
| spl16_2 ),
inference(global_subsumption,[],[f114,f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f196,f105,f107,f108,f117,f104,f110,f106,f112,f109,f116,f122,f132,f176,f220,f178,f386,f118,f128,f124,f134,f123,f133,f111,f115,f465,f113]) ).
fof(f113,plain,
( sP1
| ~ sP6 ),
inference(cnf_transformation,[],[f60]) ).
fof(f465,plain,
( ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
| spl16_2 ),
inference(global_subsumption,[],[f114,f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f196,f105,f107,f108,f117,f104,f110,f106,f112,f109,f116,f122,f132,f176,f220,f178,f386,f118,f128,f124,f134,f123,f133,f111,f113,f115]) ).
fof(f115,plain,
( ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ sP6 ),
inference(cnf_transformation,[],[f60]) ).
fof(f353,plain,
! [X2,X0,X1] :
( aElementOf0(X0,sdtpldt0(X1,X2))
| ~ aElementOf0(X0,X1)
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(subsumption_resolution,[],[f351,f142]) ).
fof(f351,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ aElement0(X0)
| aElementOf0(X0,sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(resolution,[],[f165,f186]) ).
fof(f165,plain,
! [X2,X0,X1,X4] :
( ~ sP9(X0,X1,X2)
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4)
| aElementOf0(X4,X2) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1,X2] :
( ( sP9(X0,X1,X2)
| ( ( ( sK15(X0,X1,X2) != X0
& ~ aElementOf0(sK15(X0,X1,X2),X1) )
| ~ aElement0(sK15(X0,X1,X2))
| ~ aElementOf0(sK15(X0,X1,X2),X2) )
& ( ( ( sK15(X0,X1,X2) = X0
| aElementOf0(sK15(X0,X1,X2),X1) )
& aElement0(sK15(X0,X1,X2)) )
| aElementOf0(sK15(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( aElementOf0(X4,X2)
| ( X0 != X4
& ~ aElementOf0(X4,X1) )
| ~ aElement0(X4) )
& ( ( ( X0 = X4
| aElementOf0(X4,X1) )
& aElement0(X4) )
| ~ aElementOf0(X4,X2) ) )
| ~ sP9(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f99,f100]) ).
fof(f100,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ( X0 != X3
& ~ aElementOf0(X3,X1) )
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( ( X0 = X3
| aElementOf0(X3,X1) )
& aElement0(X3) )
| aElementOf0(X3,X2) ) )
=> ( ( ( sK15(X0,X1,X2) != X0
& ~ aElementOf0(sK15(X0,X1,X2),X1) )
| ~ aElement0(sK15(X0,X1,X2))
| ~ aElementOf0(sK15(X0,X1,X2),X2) )
& ( ( ( sK15(X0,X1,X2) = X0
| aElementOf0(sK15(X0,X1,X2),X1) )
& aElement0(sK15(X0,X1,X2)) )
| aElementOf0(sK15(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
! [X0,X1,X2] :
( ( sP9(X0,X1,X2)
| ? [X3] :
( ( ( X0 != X3
& ~ aElementOf0(X3,X1) )
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( ( X0 = X3
| aElementOf0(X3,X1) )
& aElement0(X3) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X4] :
( ( aElementOf0(X4,X2)
| ( X0 != X4
& ~ aElementOf0(X4,X1) )
| ~ aElement0(X4) )
& ( ( ( X0 = X4
| aElementOf0(X4,X1) )
& aElement0(X4) )
| ~ aElementOf0(X4,X2) ) )
| ~ sP9(X0,X1,X2) ) ),
inference(rectify,[],[f98]) ).
fof(f98,plain,
! [X1,X0,X2] :
( ( sP9(X1,X0,X2)
| ? [X3] :
( ( ( X1 != X3
& ~ aElementOf0(X3,X0) )
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X3] :
( ( aElementOf0(X3,X2)
| ( X1 != X3
& ~ aElementOf0(X3,X0) )
| ~ aElement0(X3) )
& ( ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) )
| ~ aElementOf0(X3,X2) ) )
| ~ sP9(X1,X0,X2) ) ),
inference(flattening,[],[f97]) ).
fof(f97,plain,
! [X1,X0,X2] :
( ( sP9(X1,X0,X2)
| ? [X3] :
( ( ( X1 != X3
& ~ aElementOf0(X3,X0) )
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X3] :
( ( aElementOf0(X3,X2)
| ( X1 != X3
& ~ aElementOf0(X3,X0) )
| ~ aElement0(X3) )
& ( ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) )
| ~ aElementOf0(X3,X2) ) )
| ~ sP9(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X1,X0,X2] :
( sP9(X1,X0,X2)
<=> ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f337,plain,
! [X0,X1] :
( aElement0(sK12(X1,X0))
| ~ aSet0(X0)
| ~ aSet0(X1)
| aSubsetOf0(X0,X1) ),
inference(duplicate_literal_removal,[],[f330]) ).
fof(f330,plain,
! [X0,X1] :
( aSubsetOf0(X0,X1)
| ~ aSet0(X0)
| ~ aSet0(X1)
| aElement0(sK12(X1,X0))
| ~ aSet0(X0) ),
inference(resolution,[],[f146,f142]) ).
fof(f147,plain,
! [X0,X1] :
( ~ aElementOf0(sK12(X0,X1),X0)
| aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ( ~ aElementOf0(sK12(X0,X1),X0)
& aElementOf0(sK12(X0,X1),X1) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f82,f83]) ).
fof(f83,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK12(X0,X1),X0)
& aElementOf0(sK12(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f82,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(rectify,[],[f81]) ).
fof(f81,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(flattening,[],[f80]) ).
fof(f80,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).
fof(f339,plain,
! [X0] :
( aSubsetOf0(slcrc0,X0)
| ~ aSet0(X0) ),
inference(subsumption_resolution,[],[f331,f181]) ).
fof(f331,plain,
! [X0] :
( aSubsetOf0(slcrc0,X0)
| ~ aSet0(slcrc0)
| ~ aSet0(X0) ),
inference(resolution,[],[f146,f180]) ).
fof(f344,plain,
! [X2,X0,X1] :
( aSubsetOf0(sdtmndt0(X0,X1),X2)
| ~ aSet0(X2)
| ~ aSet0(X0)
| ~ aElement0(X1)
| aElement0(sK12(X2,sdtmndt0(X0,X1))) ),
inference(subsumption_resolution,[],[f336,f184]) ).
fof(f336,plain,
! [X2,X0,X1] :
( aSubsetOf0(sdtmndt0(X0,X1),X2)
| ~ aSet0(sdtmndt0(X0,X1))
| ~ aSet0(X2)
| ~ aSet0(X0)
| ~ aElement0(X1)
| aElement0(sK12(X2,sdtmndt0(X0,X1))) ),
inference(resolution,[],[f146,f242]) ).
fof(f342,plain,
! [X2,X0,X1] :
( aSubsetOf0(sdtpldt0(X0,X1),X2)
| ~ aSet0(X2)
| ~ aSet0(X0)
| ~ aElement0(X1)
| aElement0(sK12(X2,sdtpldt0(X0,X1))) ),
inference(subsumption_resolution,[],[f334,f187]) ).
fof(f334,plain,
! [X2,X0,X1] :
( aSubsetOf0(sdtpldt0(X0,X1),X2)
| ~ aSet0(sdtpldt0(X0,X1))
| ~ aSet0(X2)
| ~ aSet0(X0)
| ~ aElement0(X1)
| aElement0(sK12(X2,sdtpldt0(X0,X1))) ),
inference(resolution,[],[f146,f245]) ).
fof(f338,plain,
! [X0,X1] :
( aSubsetOf0(X0,X1)
| ~ aSet0(X0)
| ~ aSet0(X1)
| sdtpldt0(sdtmndt0(X0,sK12(X1,X0)),sK12(X1,X0)) = X0 ),
inference(duplicate_literal_removal,[],[f329]) ).
fof(f329,plain,
! [X0,X1] :
( aSubsetOf0(X0,X1)
| ~ aSet0(X0)
| ~ aSet0(X1)
| sdtpldt0(sdtmndt0(X0,sK12(X1,X0)),sK12(X1,X0)) = X0
| ~ aSet0(X0) ),
inference(resolution,[],[f146,f143]) ).
fof(f146,plain,
! [X0,X1] :
( aElementOf0(sK12(X0,X1),X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f311,plain,
! [X0] :
( sdtpldt0(sdtmndt0(X0,sK13(X0)),sK13(X0)) = X0
| ~ aSet0(X0)
| slcrc0 = X0 ),
inference(duplicate_literal_removal,[],[f310]) ).
fof(f310,plain,
! [X0] :
( sdtpldt0(sdtmndt0(X0,sK13(X0)),sK13(X0)) = X0
| ~ aSet0(X0)
| slcrc0 = X0
| ~ aSet0(X0) ),
inference(resolution,[],[f143,f151]) ).
fof(f312,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(sdtmndt0(sdtpldt0(X0,X1),X1),X1)
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(subsumption_resolution,[],[f306,f187]) ).
fof(f306,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(sdtmndt0(sdtpldt0(X0,X1),X1),X1)
| ~ aSet0(sdtpldt0(X0,X1))
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(resolution,[],[f143,f246]) ).
fof(f143,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| sdtpldt0(sdtmndt0(X0,X1),X1) = X0
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0] :
( ! [X1] :
( sdtpldt0(sdtmndt0(X0,X1),X1) = X0
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> sdtpldt0(sdtmndt0(X0,X1),X1) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mConsDiff) ).
fof(f245,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X2,sdtpldt0(X1,X0))
| ~ aSet0(X1)
| ~ aElement0(X0)
| aElement0(X2) ),
inference(resolution,[],[f186,f163]) ).
fof(f242,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X2,sdtmndt0(X1,X0))
| ~ aSet0(X1)
| ~ aElement0(X0)
| aElement0(X2) ),
inference(resolution,[],[f183,f152]) ).
fof(f145,plain,
! [X3,X0,X1] :
( ~ aSubsetOf0(X1,X0)
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f246,plain,
! [X0,X1] :
( aElementOf0(X0,sdtpldt0(X1,X0))
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(duplicate_literal_removal,[],[f244]) ).
fof(f244,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElement0(X0)
| aElementOf0(X0,sdtpldt0(X1,X0)) ),
inference(resolution,[],[f186,f185]) ).
fof(f186,plain,
! [X0,X1] :
( sP9(X1,X0,sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f172]) ).
fof(f172,plain,
! [X2,X0,X1] :
( sP9(X1,X0,X2)
| sdtpldt0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtpldt0(X0,X1) = X2
| ~ sP9(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP9(X1,X0,X2)
& aSet0(X2) )
| sdtpldt0(X0,X1) != X2 ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f102]) ).
fof(f102,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtpldt0(X0,X1) = X2
| ~ sP9(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP9(X1,X0,X2)
& aSet0(X2) )
| sdtpldt0(X0,X1) != X2 ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( ! [X2] :
( sdtpldt0(X0,X1) = X2
<=> ( sP9(X1,X0,X2)
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(definition_folding,[],[f41,f57]) ).
fof(f41,plain,
! [X0,X1] :
( ! [X2] :
( sdtpldt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) ) )
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f40]) ).
fof(f40,plain,
! [X0,X1] :
( ! [X2] :
( sdtpldt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) ) )
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aSet0(X0) )
=> ! [X2] :
( sdtpldt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefCons) ).
fof(f243,plain,
! [X0,X1] :
( ~ aElementOf0(X0,sdtmndt0(X1,X0))
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(resolution,[],[f183,f182]) ).
fof(f241,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X2,sdtmndt0(X1,X0))
| ~ aSet0(X1)
| ~ aElement0(X0)
| aElementOf0(X2,X1) ),
inference(resolution,[],[f183,f153]) ).
fof(f183,plain,
! [X0,X1] :
( sP8(X1,X0,sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f161]) ).
fof(f161,plain,
! [X2,X0,X1] :
( sP8(X1,X0,X2)
| sdtmndt0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtmndt0(X0,X1) = X2
| ~ sP8(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP8(X1,X0,X2)
& aSet0(X2) )
| sdtmndt0(X0,X1) != X2 ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f95]) ).
fof(f95,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtmndt0(X0,X1) = X2
| ~ sP8(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP8(X1,X0,X2)
& aSet0(X2) )
| sdtmndt0(X0,X1) != X2 ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( sP8(X1,X0,X2)
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(definition_folding,[],[f39,f55]) ).
fof(f55,plain,
! [X1,X0,X2] :
( sP8(X1,X0,X2)
<=> ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f39,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) )
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) )
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aSet0(X0) )
=> ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiff) ).
fof(f153,plain,
! [X2,X0,X1,X4] :
( ~ sP8(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aElementOf0(X4,X1) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0,X1,X2] :
( ( sP8(X0,X1,X2)
| ( ( sK14(X0,X1,X2) = X0
| ~ aElementOf0(sK14(X0,X1,X2),X1)
| ~ aElement0(sK14(X0,X1,X2))
| ~ aElementOf0(sK14(X0,X1,X2),X2) )
& ( ( sK14(X0,X1,X2) != X0
& aElementOf0(sK14(X0,X1,X2),X1)
& aElement0(sK14(X0,X1,X2)) )
| aElementOf0(sK14(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( aElementOf0(X4,X2)
| X0 = X4
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4) )
& ( ( X0 != X4
& aElementOf0(X4,X1)
& aElement0(X4) )
| ~ aElementOf0(X4,X2) ) )
| ~ sP8(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f92,f93]) ).
fof(f93,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( X0 = X3
| ~ aElementOf0(X3,X1)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( X0 != X3
& aElementOf0(X3,X1)
& aElement0(X3) )
| aElementOf0(X3,X2) ) )
=> ( ( sK14(X0,X1,X2) = X0
| ~ aElementOf0(sK14(X0,X1,X2),X1)
| ~ aElement0(sK14(X0,X1,X2))
| ~ aElementOf0(sK14(X0,X1,X2),X2) )
& ( ( sK14(X0,X1,X2) != X0
& aElementOf0(sK14(X0,X1,X2),X1)
& aElement0(sK14(X0,X1,X2)) )
| aElementOf0(sK14(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f92,plain,
! [X0,X1,X2] :
( ( sP8(X0,X1,X2)
| ? [X3] :
( ( X0 = X3
| ~ aElementOf0(X3,X1)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( X0 != X3
& aElementOf0(X3,X1)
& aElement0(X3) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X4] :
( ( aElementOf0(X4,X2)
| X0 = X4
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4) )
& ( ( X0 != X4
& aElementOf0(X4,X1)
& aElement0(X4) )
| ~ aElementOf0(X4,X2) ) )
| ~ sP8(X0,X1,X2) ) ),
inference(rectify,[],[f91]) ).
fof(f91,plain,
! [X1,X0,X2] :
( ( sP8(X1,X0,X2)
| ? [X3] :
( ( X1 = X3
| ~ aElementOf0(X3,X0)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X3] :
( ( aElementOf0(X3,X2)
| X1 = X3
| ~ aElementOf0(X3,X0)
| ~ aElement0(X3) )
& ( ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) )
| ~ aElementOf0(X3,X2) ) )
| ~ sP8(X1,X0,X2) ) ),
inference(flattening,[],[f90]) ).
fof(f90,plain,
! [X1,X0,X2] :
( ( sP8(X1,X0,X2)
| ? [X3] :
( ( X1 = X3
| ~ aElementOf0(X3,X0)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) )
| aElementOf0(X3,X2) ) ) )
& ( ! [X3] :
( ( aElementOf0(X3,X2)
| X1 = X3
| ~ aElementOf0(X3,X0)
| ~ aElement0(X3) )
& ( ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) )
| ~ aElementOf0(X3,X2) ) )
| ~ sP8(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f55]) ).
fof(f185,plain,
! [X2,X1,X4] :
( ~ sP9(X4,X1,X2)
| ~ aElement0(X4)
| aElementOf0(X4,X2) ),
inference(equality_resolution,[],[f166]) ).
fof(f166,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| X0 != X4
| ~ aElement0(X4)
| ~ sP9(X0,X1,X2) ),
inference(cnf_transformation,[],[f101]) ).
fof(f163,plain,
! [X2,X0,X1,X4] :
( ~ sP9(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aElement0(X4) ),
inference(cnf_transformation,[],[f101]) ).
fof(f152,plain,
! [X2,X0,X1,X4] :
( ~ sP8(X0,X1,X2)
| ~ aElementOf0(X4,X2)
| aElement0(X4) ),
inference(cnf_transformation,[],[f94]) ).
fof(f227,plain,
! [X0] :
( aElement0(sK13(X0))
| ~ aSet0(X0)
| slcrc0 = X0 ),
inference(duplicate_literal_removal,[],[f225]) ).
fof(f225,plain,
! [X0] :
( slcrc0 = X0
| ~ aSet0(X0)
| aElement0(sK13(X0))
| ~ aSet0(X0) ),
inference(resolution,[],[f151,f142]) ).
fof(f151,plain,
! [X0] :
( aElementOf0(sK13(X0),X0)
| slcrc0 = X0
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0] :
( ( slcrc0 = X0
| aElementOf0(sK13(X0),X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f87,f88]) ).
fof(f88,plain,
! [X0] :
( ? [X1] : aElementOf0(X1,X0)
=> aElementOf0(sK13(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f87,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(rectify,[],[f86]) ).
fof(f86,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(flattening,[],[f85]) ).
fof(f85,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0] :
( slcrc0 = X0
<=> ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( slcrc0 = X0
<=> ( ~ ? [X1] : aElementOf0(X1,X0)
& aSet0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefEmp) ).
fof(f187,plain,
! [X0,X1] :
( aSet0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f171]) ).
fof(f171,plain,
! [X2,X0,X1] :
( aSet0(X2)
| sdtpldt0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f184,plain,
! [X0,X1] :
( aSet0(sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f160]) ).
fof(f160,plain,
! [X2,X0,X1] :
( aSet0(X2)
| sdtmndt0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f182,plain,
! [X2,X1,X4] :
( ~ sP8(X4,X1,X2)
| ~ aElementOf0(X4,X2) ),
inference(equality_resolution,[],[f154]) ).
fof(f154,plain,
! [X2,X0,X1,X4] :
( X0 != X4
| ~ aElementOf0(X4,X2)
| ~ sP8(X0,X1,X2) ),
inference(cnf_transformation,[],[f94]) ).
fof(f142,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(f141,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( aSet0(X0)
=> aSubsetOf0(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubRefl) ).
fof(f126,plain,
( aElementOf0(sK11,xS)
| ~ sP2 ),
inference(cnf_transformation,[],[f73]) ).
fof(f180,plain,
! [X2] : ~ aElementOf0(X2,slcrc0),
inference(equality_resolution,[],[f150]) ).
fof(f150,plain,
! [X2,X0] :
( ~ aElementOf0(X2,X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f89]) ).
fof(f137,plain,
~ aElementOf0(xx,xS),
inference(cnf_transformation,[],[f19]) ).
fof(f19,axiom,
~ aElementOf0(xx,xS),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__679_02) ).
fof(f181,plain,
aSet0(slcrc0),
inference(equality_resolution,[],[f149]) ).
fof(f149,plain,
! [X0] :
( aSet0(X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f89]) ).
fof(f139,plain,
aSet0(xS),
inference(cnf_transformation,[],[f18]) ).
fof(f18,axiom,
( aSet0(xS)
& aElement0(xx) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__679) ).
fof(f138,plain,
aElement0(xx),
inference(cnf_transformation,[],[f18]) ).
fof(f136,plain,
( sP7
| sP6 ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
( sP7
| sP6 ),
inference(definition_folding,[],[f30,f53,f52,f51,f50,f49,f48,f47,f46]) ).
fof(f30,plain,
( ( ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
& ? [X2] :
( ~ aElementOf0(X2,xS)
& aElementOf0(X2,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
<=> ( xx != X1
& aElementOf0(X1,sdtpldt0(xS,xx))
& aElement0(X1) ) )
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& ! [X0] :
( aElementOf0(X0,sdtpldt0(xS,xx))
<=> ( ( xx = X0
| aElementOf0(X0,xS) )
& aElement0(X0) ) )
& aSet0(sdtpldt0(xS,xx)) )
| ( ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
& ? [X5] :
( ~ aElementOf0(X5,sdtmndt0(sdtpldt0(xS,xx),xx))
& aElementOf0(X5,xS) )
& ! [X4] :
( aElementOf0(X4,sdtmndt0(sdtpldt0(xS,xx),xx))
<=> ( xx != X4
& aElementOf0(X4,sdtpldt0(xS,xx))
& aElement0(X4) ) )
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& ! [X3] :
( aElementOf0(X3,sdtpldt0(xS,xx))
<=> ( ( xx = X3
| aElementOf0(X3,xS) )
& aElement0(X3) ) )
& aSet0(sdtpldt0(xS,xx)) ) ),
inference(flattening,[],[f29]) ).
fof(f29,plain,
( ( ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
& ? [X2] :
( ~ aElementOf0(X2,xS)
& aElementOf0(X2,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
<=> ( xx != X1
& aElementOf0(X1,sdtpldt0(xS,xx))
& aElement0(X1) ) )
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& ! [X0] :
( aElementOf0(X0,sdtpldt0(xS,xx))
<=> ( ( xx = X0
| aElementOf0(X0,xS) )
& aElement0(X0) ) )
& aSet0(sdtpldt0(xS,xx)) )
| ( ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
& ? [X5] :
( ~ aElementOf0(X5,sdtmndt0(sdtpldt0(xS,xx),xx))
& aElementOf0(X5,xS) )
& ! [X4] :
( aElementOf0(X4,sdtmndt0(sdtpldt0(xS,xx),xx))
<=> ( xx != X4
& aElementOf0(X4,sdtpldt0(xS,xx))
& aElement0(X4) ) )
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& ! [X3] :
( aElementOf0(X3,sdtpldt0(xS,xx))
<=> ( ( xx = X3
| aElementOf0(X3,xS) )
& aElement0(X3) ) )
& aSet0(sdtpldt0(xS,xx)) ) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
~ ( ( ( ! [X0] :
( aElementOf0(X0,sdtpldt0(xS,xx))
<=> ( ( xx = X0
| aElementOf0(X0,xS) )
& aElement0(X0) ) )
& aSet0(sdtpldt0(xS,xx)) )
=> ( ( ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
<=> ( xx != X1
& aElementOf0(X1,sdtpldt0(xS,xx))
& aElement0(X1) ) )
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
=> ( aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
| ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtpldt0(xS,xx),xx))
=> aElementOf0(X2,xS) ) ) ) )
& ( ( ! [X3] :
( aElementOf0(X3,sdtpldt0(xS,xx))
<=> ( ( xx = X3
| aElementOf0(X3,xS) )
& aElement0(X3) ) )
& aSet0(sdtpldt0(xS,xx)) )
=> ( ( ! [X4] :
( aElementOf0(X4,sdtmndt0(sdtpldt0(xS,xx),xx))
<=> ( xx != X4
& aElementOf0(X4,sdtpldt0(xS,xx))
& aElement0(X4) ) )
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
=> ( aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
| ! [X5] :
( aElementOf0(X5,xS)
=> aElementOf0(X5,sdtmndt0(sdtpldt0(xS,xx),xx)) ) ) ) ) ),
inference(rectify,[],[f21]) ).
fof(f21,negated_conjecture,
~ ( ( ( ! [X0] :
( aElementOf0(X0,sdtpldt0(xS,xx))
<=> ( ( xx = X0
| aElementOf0(X0,xS) )
& aElement0(X0) ) )
& aSet0(sdtpldt0(xS,xx)) )
=> ( ( ! [X0] :
( aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
<=> ( xx != X0
& aElementOf0(X0,sdtpldt0(xS,xx))
& aElement0(X0) ) )
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
=> ( aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
| ! [X0] :
( aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
=> aElementOf0(X0,xS) ) ) ) )
& ( ( ! [X0] :
( aElementOf0(X0,sdtpldt0(xS,xx))
<=> ( ( xx = X0
| aElementOf0(X0,xS) )
& aElement0(X0) ) )
& aSet0(sdtpldt0(xS,xx)) )
=> ( ( ! [X0] :
( aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
<=> ( xx != X0
& aElementOf0(X0,sdtpldt0(xS,xx))
& aElement0(X0) ) )
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
=> ( aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
| ! [X0] :
( aElementOf0(X0,xS)
=> aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) ) ) ) ) ),
inference(negated_conjecture,[],[f20]) ).
fof(f20,conjecture,
( ( ( ! [X0] :
( aElementOf0(X0,sdtpldt0(xS,xx))
<=> ( ( xx = X0
| aElementOf0(X0,xS) )
& aElement0(X0) ) )
& aSet0(sdtpldt0(xS,xx)) )
=> ( ( ! [X0] :
( aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
<=> ( xx != X0
& aElementOf0(X0,sdtpldt0(xS,xx))
& aElement0(X0) ) )
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
=> ( aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
| ! [X0] :
( aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
=> aElementOf0(X0,xS) ) ) ) )
& ( ( ! [X0] :
( aElementOf0(X0,sdtpldt0(xS,xx))
<=> ( ( xx = X0
| aElementOf0(X0,xS) )
& aElement0(X0) ) )
& aSet0(sdtpldt0(xS,xx)) )
=> ( ( ! [X0] :
( aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
<=> ( xx != X0
& aElementOf0(X0,sdtpldt0(xS,xx))
& aElement0(X0) ) )
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
=> ( aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
| ! [X0] :
( aElementOf0(X0,xS)
=> aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f175,plain,
! [X2,X0,X1] :
( ~ aSubsetOf0(X1,X2)
| aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1,X2] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f44]) ).
fof(f44,plain,
! [X0,X1,X2] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aSet0(X2)
& aSet0(X1)
& aSet0(X0) )
=> ( ( aSubsetOf0(X1,X2)
& aSubsetOf0(X0,X1) )
=> aSubsetOf0(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubTrans) ).
fof(f174,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| X0 = X1
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( X0 = X1
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
! [X0,X1] :
( X0 = X1
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1] :
( ( aSet0(X1)
& aSet0(X0) )
=> ( ( aSubsetOf0(X1,X0)
& aSubsetOf0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubASymm) ).
fof(f173,plain,
! [X2,X0,X1] :
( ~ sP9(X1,X0,X2)
| sdtpldt0(X0,X1) = X2
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f164,plain,
! [X2,X0,X1,X4] :
( ~ sP9(X0,X1,X2)
| aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| X0 = X4 ),
inference(cnf_transformation,[],[f101]) ).
fof(f167,plain,
! [X2,X0,X1] :
( aElementOf0(sK15(X0,X1,X2),X2)
| aElement0(sK15(X0,X1,X2))
| sP9(X0,X1,X2) ),
inference(cnf_transformation,[],[f101]) ).
fof(f168,plain,
! [X2,X0,X1] :
( sP9(X0,X1,X2)
| sK15(X0,X1,X2) = X0
| aElementOf0(sK15(X0,X1,X2),X1)
| aElementOf0(sK15(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f101]) ).
fof(f169,plain,
! [X2,X0,X1] :
( sP9(X0,X1,X2)
| ~ aElementOf0(sK15(X0,X1,X2),X1)
| ~ aElement0(sK15(X0,X1,X2))
| ~ aElementOf0(sK15(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f101]) ).
fof(f189,plain,
! [X2,X0,X1] :
( sK15(X0,X1,X2) != X0
| sP9(X0,X1,X2)
| ~ aElement0(X0)
| ~ aElementOf0(X0,X2) ),
inference(inner_rewriting,[],[f170]) ).
fof(f170,plain,
! [X2,X0,X1] :
( sP9(X0,X1,X2)
| sK15(X0,X1,X2) != X0
| ~ aElement0(sK15(X0,X1,X2))
| ~ aElementOf0(sK15(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f101]) ).
fof(f162,plain,
! [X2,X0,X1] :
( ~ sP8(X1,X0,X2)
| sdtmndt0(X0,X1) = X2
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f155,plain,
! [X2,X0,X1,X4] :
( ~ sP8(X0,X1,X2)
| X0 = X4
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4)
| aElementOf0(X4,X2) ),
inference(cnf_transformation,[],[f94]) ).
fof(f156,plain,
! [X2,X0,X1] :
( aElementOf0(sK14(X0,X1,X2),X2)
| aElement0(sK14(X0,X1,X2))
| sP8(X0,X1,X2) ),
inference(cnf_transformation,[],[f94]) ).
fof(f157,plain,
! [X2,X0,X1] :
( aElementOf0(sK14(X0,X1,X2),X2)
| aElementOf0(sK14(X0,X1,X2),X1)
| sP8(X0,X1,X2) ),
inference(cnf_transformation,[],[f94]) ).
fof(f188,plain,
! [X2,X0,X1] :
( sK14(X0,X1,X2) != X0
| sP8(X0,X1,X2)
| aElementOf0(X0,X2) ),
inference(inner_rewriting,[],[f158]) ).
fof(f158,plain,
! [X2,X0,X1] :
( sP8(X0,X1,X2)
| sK14(X0,X1,X2) != X0
| aElementOf0(sK14(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f94]) ).
fof(f159,plain,
! [X2,X0,X1] :
( sP8(X0,X1,X2)
| sK14(X0,X1,X2) = X0
| ~ aElementOf0(sK14(X0,X1,X2),X1)
| ~ aElement0(sK14(X0,X1,X2))
| ~ aElementOf0(sK14(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f94]) ).
fof(f179,plain,
( aElementOf0(xx,sdtpldt0(xS,xx))
| ~ aElement0(xx)
| ~ sP0 ),
inference(equality_resolution,[],[f135]) ).
fof(f135,plain,
! [X0] :
( aElementOf0(X0,sdtpldt0(xS,xx))
| xx != X0
| ~ aElement0(X0)
| ~ sP0 ),
inference(cnf_transformation,[],[f79]) ).
fof(f129,plain,
! [X0] :
( aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ sP1 ),
inference(cnf_transformation,[],[f76]) ).
fof(f131,plain,
! [X0] :
( aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
| xx = X0
| ~ aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aElement0(X0)
| ~ sP1 ),
inference(cnf_transformation,[],[f76]) ).
fof(f177,plain,
( aElementOf0(xx,sdtpldt0(xS,xx))
| ~ aElement0(xx)
| ~ sP3 ),
inference(equality_resolution,[],[f125]) ).
fof(f125,plain,
! [X0] :
( aElementOf0(X0,sdtpldt0(xS,xx))
| xx != X0
| ~ aElement0(X0)
| ~ sP3 ),
inference(cnf_transformation,[],[f69]) ).
fof(f119,plain,
! [X0] :
( aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ sP4 ),
inference(cnf_transformation,[],[f67]) ).
fof(f121,plain,
! [X0] :
( aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
| xx = X0
| ~ aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aElement0(X0)
| ~ sP4 ),
inference(cnf_transformation,[],[f67]) ).
fof(f1435,plain,
( ! [X0] :
( aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X0,sdtpldt0(xS,xx))
| xx = X0 )
| ~ spl16_30 ),
inference(avatar_component_clause,[],[f1434]) ).
fof(f1434,plain,
( spl16_30
<=> ! [X0] :
( aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X0,sdtpldt0(xS,xx))
| xx = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_30])]) ).
fof(f1608,plain,
( spl16_31
| spl16_33
| ~ spl16_32 ),
inference(avatar_split_clause,[],[f1604,f1587,f1606,f1584]) ).
fof(f1584,plain,
( spl16_31
<=> ! [X1] : ~ aElementOf0(X1,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_31])]) ).
fof(f1606,plain,
( spl16_33
<=> ! [X0] :
( sK11 != X0
| aElementOf0(X0,xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_33])]) ).
fof(f1587,plain,
( spl16_32
<=> ! [X0] : sK11 = sK14(X0,slcrc0,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_32])]) ).
fof(f1604,plain,
( ! [X0,X1] :
( sK11 != X0
| aElementOf0(X0,xS)
| ~ aElementOf0(X1,xS) )
| ~ spl16_32 ),
inference(subsumption_resolution,[],[f1599,f180]) ).
fof(f1599,plain,
( ! [X0,X1] :
( sK11 != X0
| aElementOf0(X0,xS)
| ~ aElementOf0(X1,xS)
| aElementOf0(X1,slcrc0) )
| ~ spl16_32 ),
inference(resolution,[],[f1596,f153]) ).
fof(f1596,plain,
( ! [X0] :
( sP8(X0,slcrc0,xS)
| sK11 != X0
| aElementOf0(X0,xS) )
| ~ spl16_32 ),
inference(superposition,[],[f188,f1588]) ).
fof(f1588,plain,
( ! [X0] : sK11 = sK14(X0,slcrc0,xS)
| ~ spl16_32 ),
inference(avatar_component_clause,[],[f1587]) ).
fof(f1589,plain,
( spl16_31
| spl16_32
| ~ spl16_4
| ~ spl16_8
| ~ spl16_25
| ~ spl16_26
| ~ spl16_27 ),
inference(avatar_split_clause,[],[f1554,f1135,f1092,f1088,f273,f208,f1587,f1584]) ).
fof(f208,plain,
( spl16_4
<=> aElementOf0(sK11,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_4])]) ).
fof(f273,plain,
( spl16_8
<=> aElementOf0(sK13(sdtpldt0(xS,xx)),xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_8])]) ).
fof(f1088,plain,
( spl16_25
<=> aSet0(sdtmndt0(xS,sK13(sdtpldt0(xS,xx)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_25])]) ).
fof(f1092,plain,
( spl16_26
<=> ! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,sdtmndt0(xS,sK13(sdtpldt0(xS,xx)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_26])]) ).
fof(f1135,plain,
( spl16_27
<=> slcrc0 = sdtmndt0(xS,sK13(sdtpldt0(xS,xx))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_27])]) ).
fof(f1554,plain,
( ! [X0,X1] :
( sK11 = sK14(X0,slcrc0,xS)
| ~ aElementOf0(X1,xS) )
| ~ spl16_4
| ~ spl16_8
| ~ spl16_25
| ~ spl16_26
| ~ spl16_27 ),
inference(subsumption_resolution,[],[f1549,f180]) ).
fof(f1549,plain,
( ! [X0,X1] :
( sK11 = sK14(X0,slcrc0,xS)
| ~ aElementOf0(X1,xS)
| aElementOf0(X1,slcrc0) )
| ~ spl16_4
| ~ spl16_8
| ~ spl16_25
| ~ spl16_26
| ~ spl16_27 ),
inference(resolution,[],[f1537,f153]) ).
fof(f1537,plain,
( ! [X0] :
( sP8(X0,slcrc0,xS)
| sK11 = sK14(X0,slcrc0,xS) )
| ~ spl16_4
| ~ spl16_8
| ~ spl16_25
| ~ spl16_26
| ~ spl16_27 ),
inference(forward_demodulation,[],[f1531,f1176]) ).
fof(f1176,plain,
( sK11 = sK13(sdtpldt0(xS,xx))
| ~ spl16_4
| ~ spl16_8
| ~ spl16_25
| ~ spl16_27 ),
inference(resolution,[],[f1162,f210]) ).
fof(f210,plain,
( aElementOf0(sK11,xS)
| ~ spl16_4 ),
inference(avatar_component_clause,[],[f208]) ).
fof(f1162,plain,
( ! [X0] :
( ~ aElementOf0(X0,xS)
| sK13(sdtpldt0(xS,xx)) = X0 )
| ~ spl16_8
| ~ spl16_25
| ~ spl16_27 ),
inference(subsumption_resolution,[],[f1155,f180]) ).
fof(f1155,plain,
( ! [X0] :
( aElementOf0(X0,slcrc0)
| ~ aElementOf0(X0,xS)
| sK13(sdtpldt0(xS,xx)) = X0 )
| ~ spl16_8
| ~ spl16_25
| ~ spl16_27 ),
inference(resolution,[],[f1143,f164]) ).
fof(f1143,plain,
( sP9(sK13(sdtpldt0(xS,xx)),slcrc0,xS)
| ~ spl16_8
| ~ spl16_25
| ~ spl16_27 ),
inference(superposition,[],[f1119,f1137]) ).
fof(f1137,plain,
( slcrc0 = sdtmndt0(xS,sK13(sdtpldt0(xS,xx)))
| ~ spl16_27 ),
inference(avatar_component_clause,[],[f1135]) ).
fof(f1119,plain,
( sP9(sK13(sdtpldt0(xS,xx)),sdtmndt0(xS,sK13(sdtpldt0(xS,xx))),xS)
| ~ spl16_8
| ~ spl16_25 ),
inference(global_subsumption,[],[f121,f177,f131,f129,f179,f159,f158,f157,f170,f189,f169,f168,f136,f138,f139,f181,f137,f180,f126,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f115,f113,f111,f133,f123,f134,f124,f128,f118,f386,f178,f176,f132,f122,f116,f109,f112,f106,f110,f104,f108,f107,f105,f114,f127,f117,f241,f573,f574,f353,f584,f585,f164,f625,f174,f650,f119,f220,f275,f749,f188,f155,f830,f156,f908,f926,f934,f924,f162,f167,f1009,f1027,f1030,f1025,f910,f1011,f927,f1028,f173,f175,f1082,f1100,f757,f1089,f760]) ).
fof(f760,plain,
( sP9(sK13(sdtpldt0(xS,xx)),sdtmndt0(xS,sK13(sdtpldt0(xS,xx))),xS)
| ~ aElement0(sK13(sdtpldt0(xS,xx)))
| ~ aSet0(sdtmndt0(xS,sK13(sdtpldt0(xS,xx))))
| ~ spl16_8 ),
inference(superposition,[],[f186,f749]) ).
fof(f1089,plain,
( aSet0(sdtmndt0(xS,sK13(sdtpldt0(xS,xx))))
| ~ spl16_25 ),
inference(avatar_component_clause,[],[f1088]) ).
fof(f757,plain,
( ! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,sdtmndt0(xS,sK13(sdtpldt0(xS,xx))))
| ~ aElement0(sK13(sdtpldt0(xS,xx)))
| ~ aSet0(sdtmndt0(xS,sK13(sdtpldt0(xS,xx)))) )
| ~ spl16_8 ),
inference(superposition,[],[f353,f749]) ).
fof(f1100,plain,
( aElement0(sK13(sdtpldt0(xS,xx)))
| ~ spl16_8 ),
inference(subsumption_resolution,[],[f748,f139]) ).
fof(f748,plain,
( aElement0(sK13(sdtpldt0(xS,xx)))
| ~ aSet0(xS)
| ~ spl16_8 ),
inference(resolution,[],[f275,f142]) ).
fof(f1082,plain,
! [X0,X1] :
( ~ aSubsetOf0(X0,slcrc0)
| aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(subsumption_resolution,[],[f1080,f181]) ).
fof(f1080,plain,
! [X0,X1] :
( aSubsetOf0(X0,X1)
| ~ aSubsetOf0(X0,slcrc0)
| ~ aSet0(X1)
| ~ aSet0(slcrc0)
| ~ aSet0(X0) ),
inference(duplicate_literal_removal,[],[f1079]) ).
fof(f1079,plain,
! [X0,X1] :
( aSubsetOf0(X0,X1)
| ~ aSubsetOf0(X0,slcrc0)
| ~ aSet0(X1)
| ~ aSet0(slcrc0)
| ~ aSet0(X0)
| ~ aSet0(X1) ),
inference(resolution,[],[f175,f339]) ).
fof(f1028,plain,
! [X2,X0,X1] :
( aElement0(sK15(X0,X1,X2))
| sP9(X0,X1,X2)
| ~ aSet0(X2) ),
inference(duplicate_literal_removal,[],[f1010]) ).
fof(f1010,plain,
! [X2,X0,X1] :
( aElement0(sK15(X0,X1,X2))
| sP9(X0,X1,X2)
| aElement0(sK15(X0,X1,X2))
| ~ aSet0(X2) ),
inference(resolution,[],[f167,f142]) ).
fof(f927,plain,
! [X2,X0,X1] :
( aElement0(sK14(X0,X1,X2))
| sP8(X0,X1,X2)
| ~ aSet0(X2) ),
inference(duplicate_literal_removal,[],[f909]) ).
fof(f909,plain,
! [X2,X0,X1] :
( aElement0(sK14(X0,X1,X2))
| sP8(X0,X1,X2)
| aElement0(sK14(X0,X1,X2))
| ~ aSet0(X2) ),
inference(resolution,[],[f156,f142]) ).
fof(f1011,plain,
! [X0,X1] :
( aElement0(sK15(X0,X1,slcrc0))
| sP9(X0,X1,slcrc0) ),
inference(resolution,[],[f167,f180]) ).
fof(f910,plain,
! [X0,X1] :
( aElement0(sK14(X0,X1,slcrc0))
| sP8(X0,X1,slcrc0) ),
inference(resolution,[],[f156,f180]) ).
fof(f1025,plain,
! [X2,X3,X0,X1] :
( aElement0(sK15(X0,X1,sdtmndt0(X2,X3)))
| sP9(X0,X1,sdtmndt0(X2,X3))
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(duplicate_literal_removal,[],[f1016]) ).
fof(f1016,plain,
! [X2,X3,X0,X1] :
( aElement0(sK15(X0,X1,sdtmndt0(X2,X3)))
| sP9(X0,X1,sdtmndt0(X2,X3))
| ~ aSet0(X2)
| ~ aElement0(X3)
| aElement0(sK15(X0,X1,sdtmndt0(X2,X3))) ),
inference(resolution,[],[f167,f242]) ).
fof(f1030,plain,
! [X2,X3,X0,X1] :
( aElement0(sK15(X0,X1,sdtmndt0(X2,X3)))
| sP9(X0,X1,sdtmndt0(X2,X3))
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(subsumption_resolution,[],[f1015,f142]) ).
fof(f1015,plain,
! [X2,X3,X0,X1] :
( aElement0(sK15(X0,X1,sdtmndt0(X2,X3)))
| sP9(X0,X1,sdtmndt0(X2,X3))
| ~ aSet0(X2)
| ~ aElement0(X3)
| aElementOf0(sK15(X0,X1,sdtmndt0(X2,X3)),X2) ),
inference(resolution,[],[f167,f241]) ).
fof(f1027,plain,
! [X2,X3,X0,X1] :
( aElement0(sK15(X0,X1,sdtpldt0(X2,X3)))
| sP9(X0,X1,sdtpldt0(X2,X3))
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(duplicate_literal_removal,[],[f1012]) ).
fof(f1012,plain,
! [X2,X3,X0,X1] :
( aElement0(sK15(X0,X1,sdtpldt0(X2,X3)))
| sP9(X0,X1,sdtpldt0(X2,X3))
| ~ aSet0(X2)
| ~ aElement0(X3)
| aElement0(sK15(X0,X1,sdtpldt0(X2,X3))) ),
inference(resolution,[],[f167,f245]) ).
fof(f1009,plain,
! [X2,X0,X1] :
( aElement0(sK15(X0,X1,X2))
| sP9(X0,X1,X2)
| sdtpldt0(sdtmndt0(X2,sK15(X0,X1,X2)),sK15(X0,X1,X2)) = X2
| ~ aSet0(X2) ),
inference(resolution,[],[f167,f143]) ).
fof(f924,plain,
! [X2,X3,X0,X1] :
( aElement0(sK14(X0,X1,sdtmndt0(X2,X3)))
| sP8(X0,X1,sdtmndt0(X2,X3))
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(duplicate_literal_removal,[],[f915]) ).
fof(f915,plain,
! [X2,X3,X0,X1] :
( aElement0(sK14(X0,X1,sdtmndt0(X2,X3)))
| sP8(X0,X1,sdtmndt0(X2,X3))
| ~ aSet0(X2)
| ~ aElement0(X3)
| aElement0(sK14(X0,X1,sdtmndt0(X2,X3))) ),
inference(resolution,[],[f156,f242]) ).
fof(f934,plain,
! [X2,X3,X0,X1] :
( aElement0(sK14(X0,X1,sdtmndt0(X2,X3)))
| sP8(X0,X1,sdtmndt0(X2,X3))
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(subsumption_resolution,[],[f914,f142]) ).
fof(f914,plain,
! [X2,X3,X0,X1] :
( aElement0(sK14(X0,X1,sdtmndt0(X2,X3)))
| sP8(X0,X1,sdtmndt0(X2,X3))
| ~ aSet0(X2)
| ~ aElement0(X3)
| aElementOf0(sK14(X0,X1,sdtmndt0(X2,X3)),X2) ),
inference(resolution,[],[f156,f241]) ).
fof(f926,plain,
! [X2,X3,X0,X1] :
( aElement0(sK14(X0,X1,sdtpldt0(X2,X3)))
| sP8(X0,X1,sdtpldt0(X2,X3))
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(duplicate_literal_removal,[],[f911]) ).
fof(f911,plain,
! [X2,X3,X0,X1] :
( aElement0(sK14(X0,X1,sdtpldt0(X2,X3)))
| sP8(X0,X1,sdtpldt0(X2,X3))
| ~ aSet0(X2)
| ~ aElement0(X3)
| aElement0(sK14(X0,X1,sdtpldt0(X2,X3))) ),
inference(resolution,[],[f156,f245]) ).
fof(f908,plain,
! [X2,X0,X1] :
( aElement0(sK14(X0,X1,X2))
| sP8(X0,X1,X2)
| sdtpldt0(sdtmndt0(X2,sK14(X0,X1,X2)),sK14(X0,X1,X2)) = X2
| ~ aSet0(X2) ),
inference(resolution,[],[f156,f143]) ).
fof(f830,plain,
! [X2,X0,X1] :
( X0 = X1
| ~ aElementOf0(X1,X2)
| aElementOf0(X1,sdtmndt0(X2,X0))
| ~ aElement0(X0)
| ~ aSet0(X2) ),
inference(subsumption_resolution,[],[f829,f142]) ).
fof(f829,plain,
! [X2,X0,X1] :
( X0 = X1
| ~ aElementOf0(X1,X2)
| ~ aElement0(X1)
| aElementOf0(X1,sdtmndt0(X2,X0))
| ~ aElement0(X0)
| ~ aSet0(X2) ),
inference(resolution,[],[f155,f183]) ).
fof(f749,plain,
( xS = sdtpldt0(sdtmndt0(xS,sK13(sdtpldt0(xS,xx))),sK13(sdtpldt0(xS,xx)))
| ~ spl16_8 ),
inference(subsumption_resolution,[],[f747,f139]) ).
fof(f747,plain,
( xS = sdtpldt0(sdtmndt0(xS,sK13(sdtpldt0(xS,xx))),sK13(sdtpldt0(xS,xx)))
| ~ aSet0(xS)
| ~ spl16_8 ),
inference(resolution,[],[f275,f143]) ).
fof(f275,plain,
( aElementOf0(sK13(sdtpldt0(xS,xx)),xS)
| ~ spl16_8 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f650,plain,
! [X0] :
( ~ aSubsetOf0(X0,slcrc0)
| slcrc0 = X0
| ~ aSet0(X0) ),
inference(subsumption_resolution,[],[f648,f181]) ).
fof(f648,plain,
! [X0] :
( slcrc0 = X0
| ~ aSubsetOf0(X0,slcrc0)
| ~ aSet0(slcrc0)
| ~ aSet0(X0) ),
inference(duplicate_literal_removal,[],[f647]) ).
fof(f647,plain,
! [X0] :
( slcrc0 = X0
| ~ aSubsetOf0(X0,slcrc0)
| ~ aSet0(slcrc0)
| ~ aSet0(X0)
| ~ aSet0(X0) ),
inference(resolution,[],[f174,f339]) ).
fof(f625,plain,
! [X2,X0,X1] :
( aElementOf0(X0,X1)
| ~ aElementOf0(X0,sdtpldt0(X1,X2))
| X0 = X2
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(resolution,[],[f164,f186]) ).
fof(f585,plain,
! [X2,X0,X1] :
( ~ aElementOf0(sK12(sdtpldt0(X0,X1),X2),X0)
| ~ aElement0(X1)
| ~ aSet0(X0)
| aSubsetOf0(X2,sdtpldt0(X0,X1))
| ~ aSet0(X2) ),
inference(subsumption_resolution,[],[f580,f187]) ).
fof(f580,plain,
! [X2,X0,X1] :
( ~ aElementOf0(sK12(sdtpldt0(X0,X1),X2),X0)
| ~ aElement0(X1)
| ~ aSet0(X0)
| aSubsetOf0(X2,sdtpldt0(X0,X1))
| ~ aSet0(X2)
| ~ aSet0(sdtpldt0(X0,X1)) ),
inference(resolution,[],[f353,f147]) ).
fof(f584,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| sdtpldt0(X1,X2) = sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0) ),
inference(subsumption_resolution,[],[f578,f187]) ).
fof(f578,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X0,X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| sdtpldt0(X1,X2) = sdtpldt0(sdtmndt0(sdtpldt0(X1,X2),X0),X0)
| ~ aSet0(sdtpldt0(X1,X2)) ),
inference(resolution,[],[f353,f143]) ).
fof(f574,plain,
! [X0,X1] :
( ~ aSet0(X0)
| ~ aElement0(X1)
| aElementOf0(sK13(sdtmndt0(X0,X1)),X0)
| slcrc0 = sdtmndt0(X0,X1) ),
inference(subsumption_resolution,[],[f572,f184]) ).
fof(f572,plain,
! [X0,X1] :
( ~ aSet0(X0)
| ~ aElement0(X1)
| aElementOf0(sK13(sdtmndt0(X0,X1)),X0)
| slcrc0 = sdtmndt0(X0,X1)
| ~ aSet0(sdtmndt0(X0,X1)) ),
inference(resolution,[],[f241,f151]) ).
fof(f573,plain,
! [X2,X0,X1] :
( ~ aSet0(X0)
| ~ aElement0(X1)
| aElementOf0(sK12(X2,sdtmndt0(X0,X1)),X0)
| aSubsetOf0(sdtmndt0(X0,X1),X2)
| ~ aSet0(X2) ),
inference(subsumption_resolution,[],[f571,f184]) ).
fof(f571,plain,
! [X2,X0,X1] :
( ~ aSet0(X0)
| ~ aElement0(X1)
| aElementOf0(sK12(X2,sdtmndt0(X0,X1)),X0)
| aSubsetOf0(sdtmndt0(X0,X1),X2)
| ~ aSet0(sdtmndt0(X0,X1))
| ~ aSet0(X2) ),
inference(resolution,[],[f241,f146]) ).
fof(f1531,plain,
( ! [X0] :
( sP8(X0,slcrc0,xS)
| sK13(sdtpldt0(xS,xx)) = sK14(X0,slcrc0,xS) )
| ~ spl16_8
| ~ spl16_25
| ~ spl16_26
| ~ spl16_27 ),
inference(resolution,[],[f1346,f1162]) ).
fof(f1346,plain,
( ! [X0,X1] :
( aElementOf0(sK14(X0,slcrc0,X1),X1)
| sP8(X0,slcrc0,X1) )
| ~ spl16_26
| ~ spl16_27 ),
inference(global_subsumption,[],[f1345,f121,f177,f131,f129,f179,f159,f158,f170,f169,f168,f136,f138,f139,f181,f137,f180,f126,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f115,f113,f111,f133,f123,f134,f124,f128,f118,f386,f178,f176,f132,f122,f116,f109,f112,f106,f110,f104,f108,f107,f105,f114,f127,f117,f241,f573,f574,f353,f584,f585,f164,f625,f174,f650,f119,f220,f188,f155,f830,f156,f908,f926,f934,f924,f162,f167,f1009,f1027,f1030,f1025,f910,f1011,f927,f1028,f173,f175,f1082,f189,f157,f1298,f1300,f1301,f1333,f1304,f1305,f1334,f1315,f1317,f1321]) ).
fof(f1321,plain,
! [X2,X3,X0,X1] :
( aElementOf0(sK14(X0,sdtmndt0(X1,X2),X3),X3)
| sP8(X0,sdtmndt0(X1,X2),X3)
| ~ aSet0(X1)
| ~ aElement0(X2)
| aElementOf0(sK14(X0,sdtmndt0(X1,X2),X3),X1) ),
inference(resolution,[],[f157,f241]) ).
fof(f1317,plain,
! [X0,X1] :
( aElementOf0(sK14(X0,slcrc0,X1),X1)
| sP8(X0,slcrc0,X1) ),
inference(resolution,[],[f157,f180]) ).
fof(f1315,plain,
! [X2,X0,X1] :
( aElementOf0(sK14(X0,X1,X2),X2)
| sP8(X0,X1,X2)
| sdtpldt0(sdtmndt0(X1,sK14(X0,X1,X2)),sK14(X0,X1,X2)) = X1
| ~ aSet0(X1) ),
inference(resolution,[],[f157,f143]) ).
fof(f1334,plain,
! [X2,X3,X0,X1] :
( sP8(X0,X1,sdtmndt0(X2,X3))
| ~ aSet0(X2)
| ~ aElement0(X3)
| aElement0(sK14(X0,X1,sdtmndt0(X2,X3))) ),
inference(global_subsumption,[],[f121,f177,f131,f129,f179,f159,f158,f170,f169,f168,f136,f138,f139,f181,f137,f180,f126,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f115,f113,f111,f133,f123,f134,f124,f128,f118,f386,f178,f176,f132,f122,f116,f109,f112,f106,f110,f104,f108,f107,f105,f114,f127,f117,f241,f573,f574,f353,f584,f585,f164,f625,f174,f650,f119,f220,f188,f155,f830,f156,f908,f926,f934,f924,f162,f167,f1009,f1027,f1030,f1025,f910,f1011,f927,f1028,f173,f175,f1082,f189,f157,f1298,f1300,f1301,f1333,f1304,f1305]) ).
fof(f1305,plain,
! [X2,X3,X0,X1] :
( aElementOf0(sK14(X0,X1,sdtmndt0(X2,X3)),X1)
| sP8(X0,X1,sdtmndt0(X2,X3))
| ~ aSet0(X2)
| ~ aElement0(X3)
| aElement0(sK14(X0,X1,sdtmndt0(X2,X3))) ),
inference(resolution,[],[f157,f242]) ).
fof(f1304,plain,
! [X2,X3,X0,X1] :
( aElementOf0(sK14(X0,X1,sdtmndt0(X2,X3)),X1)
| sP8(X0,X1,sdtmndt0(X2,X3))
| ~ aSet0(X2)
| ~ aElement0(X3)
| aElementOf0(sK14(X0,X1,sdtmndt0(X2,X3)),X2) ),
inference(resolution,[],[f157,f241]) ).
fof(f1333,plain,
! [X2,X3,X0,X1] :
( sP8(X0,X1,sdtpldt0(X2,X3))
| ~ aSet0(X2)
| ~ aElement0(X3)
| aElement0(sK14(X0,X1,sdtpldt0(X2,X3))) ),
inference(global_subsumption,[],[f121,f177,f131,f129,f179,f159,f158,f170,f169,f168,f136,f138,f139,f181,f137,f180,f126,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f115,f113,f111,f133,f123,f134,f124,f128,f118,f386,f178,f176,f132,f122,f116,f109,f112,f106,f110,f104,f108,f107,f105,f114,f127,f117,f241,f573,f574,f353,f584,f585,f164,f625,f174,f650,f119,f220,f188,f155,f830,f156,f908,f926,f934,f924,f162,f167,f1009,f1027,f1030,f1025,f910,f1011,f927,f1028,f173,f175,f1082,f189,f157,f1298,f1300,f1301]) ).
fof(f1301,plain,
! [X2,X3,X0,X1] :
( aElementOf0(sK14(X0,X1,sdtpldt0(X2,X3)),X1)
| sP8(X0,X1,sdtpldt0(X2,X3))
| ~ aSet0(X2)
| ~ aElement0(X3)
| aElement0(sK14(X0,X1,sdtpldt0(X2,X3))) ),
inference(resolution,[],[f157,f245]) ).
fof(f1300,plain,
! [X0,X1] :
( aElementOf0(sK14(X0,X1,slcrc0),X1)
| sP8(X0,X1,slcrc0) ),
inference(resolution,[],[f157,f180]) ).
fof(f1298,plain,
! [X2,X0,X1] :
( aElementOf0(sK14(X0,X1,X2),X1)
| sP8(X0,X1,X2)
| sdtpldt0(sdtmndt0(X2,sK14(X0,X1,X2)),sK14(X0,X1,X2)) = X2
| ~ aSet0(X2) ),
inference(resolution,[],[f157,f143]) ).
fof(f1345,plain,
( ! [X0,X1] :
( aElementOf0(sK14(X0,slcrc0,X1),xS)
| sP8(X0,slcrc0,X1)
| aElementOf0(sK14(X0,slcrc0,X1),X1) )
| ~ spl16_26
| ~ spl16_27 ),
inference(forward_demodulation,[],[f1344,f1137]) ).
fof(f1344,plain,
( ! [X0,X1] :
( sP8(X0,slcrc0,X1)
| aElementOf0(sK14(X0,slcrc0,X1),X1)
| aElementOf0(sK14(X0,sdtmndt0(xS,sK13(sdtpldt0(xS,xx))),X1),xS) )
| ~ spl16_26
| ~ spl16_27 ),
inference(forward_demodulation,[],[f1343,f1137]) ).
fof(f1343,plain,
( ! [X0,X1] :
( aElementOf0(sK14(X0,slcrc0,X1),X1)
| sP8(X0,sdtmndt0(xS,sK13(sdtpldt0(xS,xx))),X1)
| aElementOf0(sK14(X0,sdtmndt0(xS,sK13(sdtpldt0(xS,xx))),X1),xS) )
| ~ spl16_26
| ~ spl16_27 ),
inference(forward_demodulation,[],[f1329,f1137]) ).
fof(f1329,plain,
( ! [X0,X1] :
( aElementOf0(sK14(X0,sdtmndt0(xS,sK13(sdtpldt0(xS,xx))),X1),X1)
| sP8(X0,sdtmndt0(xS,sK13(sdtpldt0(xS,xx))),X1)
| aElementOf0(sK14(X0,sdtmndt0(xS,sK13(sdtpldt0(xS,xx))),X1),xS) )
| ~ spl16_26 ),
inference(resolution,[],[f157,f1093]) ).
fof(f1093,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtmndt0(xS,sK13(sdtpldt0(xS,xx))))
| aElementOf0(X0,xS) )
| ~ spl16_26 ),
inference(avatar_component_clause,[],[f1092]) ).
fof(f1574,plain,
( spl16_30
| spl16_2 ),
inference(avatar_split_clause,[],[f1476,f195,f1434]) ).
fof(f1476,plain,
( ! [X0] :
( aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
| xx = X0
| ~ aElementOf0(X0,sdtpldt0(xS,xx)) )
| spl16_2 ),
inference(subsumption_resolution,[],[f1475,f479]) ).
fof(f1475,plain,
( ! [X0] :
( aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
| xx = X0
| ~ aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aElement0(X0) )
| spl16_2 ),
inference(subsumption_resolution,[],[f131,f466]) ).
fof(f1436,plain,
( ~ spl16_29
| spl16_30
| spl16_2 ),
inference(avatar_split_clause,[],[f1376,f195,f1434,f1430]) ).
fof(f1430,plain,
( spl16_29
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_29])]) ).
fof(f1376,plain,
( ! [X0] :
( aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
| xx = X0
| ~ aElementOf0(X0,sdtpldt0(xS,xx))
| ~ sP4 )
| spl16_2 ),
inference(subsumption_resolution,[],[f121,f479]) ).
fof(f1414,plain,
( ~ spl16_13
| ~ spl16_14
| ~ spl16_27
| spl16_28 ),
inference(avatar_contradiction_clause,[],[f1413]) ).
fof(f1413,plain,
( $false
| ~ spl16_13
| ~ spl16_14
| ~ spl16_27
| spl16_28 ),
inference(subsumption_resolution,[],[f1401,f1175]) ).
fof(f1175,plain,
( ~ aElementOf0(sK13(slcrc0),xS)
| ~ spl16_27
| spl16_28 ),
inference(forward_demodulation,[],[f1140,f1137]) ).
fof(f1140,plain,
( ~ aElementOf0(sK13(sdtmndt0(xS,sK13(sdtpldt0(xS,xx)))),xS)
| spl16_28 ),
inference(avatar_component_clause,[],[f1139]) ).
fof(f1139,plain,
( spl16_28
<=> aElementOf0(sK13(sdtmndt0(xS,sK13(sdtpldt0(xS,xx)))),xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_28])]) ).
fof(f1401,plain,
( aElementOf0(sK13(slcrc0),xS)
| ~ spl16_13
| ~ spl16_14 ),
inference(superposition,[],[f599,f595]) ).
fof(f595,plain,
( slcrc0 = sdtmndt0(xS,sK11)
| ~ spl16_13 ),
inference(avatar_component_clause,[],[f593]) ).
fof(f593,plain,
( spl16_13
<=> slcrc0 = sdtmndt0(xS,sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_13])]) ).
fof(f599,plain,
( aElementOf0(sK13(sdtmndt0(xS,sK11)),xS)
| ~ spl16_14 ),
inference(avatar_component_clause,[],[f597]) ).
fof(f597,plain,
( spl16_14
<=> aElementOf0(sK13(sdtmndt0(xS,sK11)),xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_14])]) ).
fof(f1375,plain,
( spl16_13
| ~ spl16_4
| ~ spl16_5
| ~ spl16_8
| ~ spl16_25
| ~ spl16_27 ),
inference(avatar_split_clause,[],[f1366,f1135,f1088,f273,f230,f208,f593]) ).
fof(f230,plain,
( spl16_5
<=> aElement0(sK13(sdtpldt0(xS,xx))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_5])]) ).
fof(f1366,plain,
( slcrc0 = sdtmndt0(xS,sK11)
| ~ spl16_4
| ~ spl16_5
| ~ spl16_8
| ~ spl16_25
| ~ spl16_27 ),
inference(subsumption_resolution,[],[f1365,f139]) ).
fof(f1365,plain,
( slcrc0 = sdtmndt0(xS,sK11)
| ~ aSet0(xS)
| ~ spl16_4
| ~ spl16_5
| ~ spl16_8
| ~ spl16_25
| ~ spl16_27 ),
inference(subsumption_resolution,[],[f1364,f494]) ).
fof(f494,plain,
( aElement0(sK11)
| ~ spl16_4 ),
inference(subsumption_resolution,[],[f492,f139]) ).
fof(f492,plain,
( aElement0(sK11)
| ~ aSet0(xS)
| ~ spl16_4 ),
inference(resolution,[],[f210,f142]) ).
fof(f1364,plain,
( slcrc0 = sdtmndt0(xS,sK11)
| ~ aElement0(sK11)
| ~ aSet0(xS)
| ~ spl16_4
| ~ spl16_5
| ~ spl16_8
| ~ spl16_25
| ~ spl16_27 ),
inference(subsumption_resolution,[],[f1359,f181]) ).
fof(f1359,plain,
( slcrc0 = sdtmndt0(xS,sK11)
| ~ aSet0(slcrc0)
| ~ aElement0(sK11)
| ~ aSet0(xS)
| ~ spl16_4
| ~ spl16_5
| ~ spl16_8
| ~ spl16_25
| ~ spl16_27 ),
inference(resolution,[],[f1196,f162]) ).
fof(f1196,plain,
( sP8(sK11,xS,slcrc0)
| ~ spl16_4
| ~ spl16_5
| ~ spl16_8
| ~ spl16_25
| ~ spl16_27 ),
inference(superposition,[],[f1153,f1176]) ).
fof(f1153,plain,
( sP8(sK13(sdtpldt0(xS,xx)),xS,slcrc0)
| ~ spl16_5
| ~ spl16_27 ),
inference(subsumption_resolution,[],[f1152,f139]) ).
fof(f1152,plain,
( sP8(sK13(sdtpldt0(xS,xx)),xS,slcrc0)
| ~ aSet0(xS)
| ~ spl16_5
| ~ spl16_27 ),
inference(subsumption_resolution,[],[f1150,f232]) ).
fof(f232,plain,
( aElement0(sK13(sdtpldt0(xS,xx)))
| ~ spl16_5 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f1150,plain,
( sP8(sK13(sdtpldt0(xS,xx)),xS,slcrc0)
| ~ aElement0(sK13(sdtpldt0(xS,xx)))
| ~ aSet0(xS)
| ~ spl16_27 ),
inference(superposition,[],[f183,f1137]) ).
fof(f1369,plain,
( spl16_13
| ~ spl16_4
| ~ spl16_8
| ~ spl16_25
| ~ spl16_27 ),
inference(avatar_split_clause,[],[f1193,f1135,f1088,f273,f208,f593]) ).
fof(f1193,plain,
( slcrc0 = sdtmndt0(xS,sK11)
| ~ spl16_4
| ~ spl16_8
| ~ spl16_25
| ~ spl16_27 ),
inference(superposition,[],[f1137,f1176]) ).
fof(f1349,plain,
( spl16_16
| ~ spl16_4
| ~ spl16_8
| spl16_15
| ~ spl16_25
| ~ spl16_27 ),
inference(avatar_split_clause,[],[f1297,f1135,f1088,f638,f273,f208,f642]) ).
fof(f642,plain,
( spl16_16
<=> sK11 = sK13(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_16])]) ).
fof(f638,plain,
( spl16_15
<=> slcrc0 = xS ),
introduced(avatar_definition,[new_symbols(naming,[spl16_15])]) ).
fof(f1297,plain,
( sK11 = sK13(xS)
| ~ spl16_4
| ~ spl16_8
| spl16_15
| ~ spl16_25
| ~ spl16_27 ),
inference(forward_demodulation,[],[f1185,f1176]) ).
fof(f1185,plain,
( sK13(sdtpldt0(xS,xx)) = sK13(xS)
| ~ spl16_8
| spl16_15
| ~ spl16_25
| ~ spl16_27 ),
inference(subsumption_resolution,[],[f1184,f139]) ).
fof(f1184,plain,
( sK13(sdtpldt0(xS,xx)) = sK13(xS)
| ~ aSet0(xS)
| ~ spl16_8
| spl16_15
| ~ spl16_25
| ~ spl16_27 ),
inference(subsumption_resolution,[],[f1180,f639]) ).
fof(f639,plain,
( slcrc0 != xS
| spl16_15 ),
inference(avatar_component_clause,[],[f638]) ).
fof(f1180,plain,
( sK13(sdtpldt0(xS,xx)) = sK13(xS)
| slcrc0 = xS
| ~ aSet0(xS)
| ~ spl16_8
| ~ spl16_25
| ~ spl16_27 ),
inference(resolution,[],[f1162,f151]) ).
fof(f1348,plain,
( spl16_16
| ~ spl16_4
| ~ spl16_8
| ~ spl16_11
| ~ spl16_13
| spl16_15
| ~ spl16_25
| ~ spl16_27 ),
inference(avatar_split_clause,[],[f1296,f1135,f1088,f638,f593,f531,f273,f208,f642]) ).
fof(f531,plain,
( spl16_11
<=> aSet0(sdtmndt0(xS,sK11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_11])]) ).
fof(f1296,plain,
( sK11 = sK13(xS)
| ~ spl16_4
| ~ spl16_8
| ~ spl16_11
| ~ spl16_13
| spl16_15
| ~ spl16_25
| ~ spl16_27 ),
inference(global_subsumption,[],[f1202,f121,f177,f131,f129,f179,f159,f158,f157,f170,f169,f168,f136,f138,f139,f181,f137,f180,f126,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f115,f113,f111,f133,f123,f134,f124,f128,f118,f386,f178,f176,f132,f122,f116,f109,f112,f106,f110,f104,f108,f107,f105,f114,f127,f210,f494,f117,f493,f517,f516,f532,f557,f558,f563,f564,f241,f573,f574,f353,f584,f585,f587,f590,f591,f164,f625,f631,f630,f635,f636,f639,f174,f650,f627,f668,f669,f119,f220,f188,f155,f830,f156,f908,f926,f934,f924,f162,f167,f1009,f1027,f1030,f1025,f910,f1011,f927,f1028,f173,f175,f1082,f189,f605,f603,f612,f595]) ).
fof(f612,plain,
( sP8(sK11,xS,slcrc0)
| ~ spl16_4
| ~ spl16_13 ),
inference(subsumption_resolution,[],[f611,f139]) ).
fof(f611,plain,
( sP8(sK11,xS,slcrc0)
| ~ aSet0(xS)
| ~ spl16_4
| ~ spl16_13 ),
inference(subsumption_resolution,[],[f609,f494]) ).
fof(f609,plain,
( sP8(sK11,xS,slcrc0)
| ~ aElement0(sK11)
| ~ aSet0(xS)
| ~ spl16_13 ),
inference(superposition,[],[f183,f595]) ).
fof(f603,plain,
( sP9(sK11,slcrc0,xS)
| ~ spl16_4
| ~ spl16_11
| ~ spl16_13 ),
inference(superposition,[],[f557,f595]) ).
fof(f605,plain,
( xS = sdtpldt0(slcrc0,sK11)
| ~ spl16_4
| ~ spl16_13 ),
inference(superposition,[],[f493,f595]) ).
fof(f669,plain,
( ! [X0] :
( ~ aElementOf0(sK12(sdtmndt0(xS,sK11),X0),xS)
| sK11 = sK12(sdtmndt0(xS,sK11),X0)
| aSubsetOf0(X0,sdtmndt0(xS,sK11))
| ~ aSet0(X0) )
| ~ spl16_4
| ~ spl16_11 ),
inference(subsumption_resolution,[],[f667,f532]) ).
fof(f667,plain,
( ! [X0] :
( ~ aElementOf0(sK12(sdtmndt0(xS,sK11),X0),xS)
| sK11 = sK12(sdtmndt0(xS,sK11),X0)
| aSubsetOf0(X0,sdtmndt0(xS,sK11))
| ~ aSet0(X0)
| ~ aSet0(sdtmndt0(xS,sK11)) )
| ~ spl16_4
| ~ spl16_11 ),
inference(resolution,[],[f627,f147]) ).
fof(f668,plain,
( ! [X0] :
( ~ aElementOf0(X0,xS)
| sK11 = X0
| sdtmndt0(xS,sK11) = sdtpldt0(sdtmndt0(sdtmndt0(xS,sK11),X0),X0) )
| ~ spl16_4
| ~ spl16_11 ),
inference(subsumption_resolution,[],[f665,f532]) ).
fof(f665,plain,
( ! [X0] :
( ~ aElementOf0(X0,xS)
| sK11 = X0
| sdtmndt0(xS,sK11) = sdtpldt0(sdtmndt0(sdtmndt0(xS,sK11),X0),X0)
| ~ aSet0(sdtmndt0(xS,sK11)) )
| ~ spl16_4
| ~ spl16_11 ),
inference(resolution,[],[f627,f143]) ).
fof(f627,plain,
( ! [X0] :
( aElementOf0(X0,sdtmndt0(xS,sK11))
| ~ aElementOf0(X0,xS)
| sK11 = X0 )
| ~ spl16_4
| ~ spl16_11 ),
inference(resolution,[],[f164,f557]) ).
fof(f636,plain,
( sK11 = sK13(xS)
| slcrc0 = xS
| ~ spl16_4
| ~ spl16_11
| ~ spl16_13 ),
inference(subsumption_resolution,[],[f634,f139]) ).
fof(f634,plain,
( sK11 = sK13(xS)
| slcrc0 = xS
| ~ aSet0(xS)
| ~ spl16_4
| ~ spl16_11
| ~ spl16_13 ),
inference(resolution,[],[f630,f151]) ).
fof(f635,plain,
( ! [X0] :
( sK11 = sK12(X0,xS)
| aSubsetOf0(xS,X0)
| ~ aSet0(X0) )
| ~ spl16_4
| ~ spl16_11
| ~ spl16_13 ),
inference(subsumption_resolution,[],[f633,f139]) ).
fof(f633,plain,
( ! [X0] :
( sK11 = sK12(X0,xS)
| aSubsetOf0(xS,X0)
| ~ aSet0(xS)
| ~ aSet0(X0) )
| ~ spl16_4
| ~ spl16_11
| ~ spl16_13 ),
inference(resolution,[],[f630,f146]) ).
fof(f630,plain,
( ! [X0] :
( ~ aElementOf0(X0,xS)
| sK11 = X0 )
| ~ spl16_4
| ~ spl16_11
| ~ spl16_13 ),
inference(subsumption_resolution,[],[f629,f180]) ).
fof(f629,plain,
( ! [X0] :
( aElementOf0(X0,slcrc0)
| ~ aElementOf0(X0,xS)
| sK11 = X0 )
| ~ spl16_4
| ~ spl16_11
| ~ spl16_13 ),
inference(forward_demodulation,[],[f627,f595]) ).
fof(f631,plain,
( ! [X0] :
( ~ aElementOf0(X0,xS)
| sK11 = X0 )
| ~ spl16_4
| ~ spl16_11
| ~ spl16_13 ),
inference(subsumption_resolution,[],[f628,f180]) ).
fof(f628,plain,
( ! [X0] :
( aElementOf0(X0,slcrc0)
| ~ aElementOf0(X0,xS)
| sK11 = X0 )
| ~ spl16_4
| ~ spl16_11
| ~ spl16_13 ),
inference(resolution,[],[f164,f603]) ).
fof(f591,plain,
( aElementOf0(sK13(sdtmndt0(xS,sK11)),xS)
| slcrc0 = sdtmndt0(xS,sK11)
| ~ spl16_4
| ~ spl16_11 ),
inference(subsumption_resolution,[],[f589,f532]) ).
fof(f589,plain,
( aElementOf0(sK13(sdtmndt0(xS,sK11)),xS)
| slcrc0 = sdtmndt0(xS,sK11)
| ~ aSet0(sdtmndt0(xS,sK11))
| ~ spl16_4
| ~ spl16_11 ),
inference(resolution,[],[f587,f151]) ).
fof(f590,plain,
( ! [X0] :
( aElementOf0(sK12(X0,sdtmndt0(xS,sK11)),xS)
| aSubsetOf0(sdtmndt0(xS,sK11),X0)
| ~ aSet0(X0) )
| ~ spl16_4
| ~ spl16_11 ),
inference(subsumption_resolution,[],[f588,f532]) ).
fof(f588,plain,
( ! [X0] :
( aElementOf0(sK12(X0,sdtmndt0(xS,sK11)),xS)
| aSubsetOf0(sdtmndt0(xS,sK11),X0)
| ~ aSet0(sdtmndt0(xS,sK11))
| ~ aSet0(X0) )
| ~ spl16_4
| ~ spl16_11 ),
inference(resolution,[],[f587,f146]) ).
fof(f587,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtmndt0(xS,sK11))
| aElementOf0(X0,xS) )
| ~ spl16_4
| ~ spl16_11 ),
inference(subsumption_resolution,[],[f586,f532]) ).
fof(f586,plain,
( ! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,sdtmndt0(xS,sK11))
| ~ aSet0(sdtmndt0(xS,sK11)) )
| ~ spl16_4 ),
inference(subsumption_resolution,[],[f581,f494]) ).
fof(f581,plain,
( ! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,sdtmndt0(xS,sK11))
| ~ aElement0(sK11)
| ~ aSet0(sdtmndt0(xS,sK11)) )
| ~ spl16_4 ),
inference(superposition,[],[f353,f493]) ).
fof(f564,plain,
( ~ aElement0(sK13(sdtmndt0(xS,sK11)))
| aElementOf0(sK13(sdtmndt0(xS,sK11)),xS)
| slcrc0 = sdtmndt0(xS,sK11)
| ~ spl16_4
| ~ spl16_11 ),
inference(subsumption_resolution,[],[f562,f532]) ).
fof(f562,plain,
( ~ aElement0(sK13(sdtmndt0(xS,sK11)))
| aElementOf0(sK13(sdtmndt0(xS,sK11)),xS)
| slcrc0 = sdtmndt0(xS,sK11)
| ~ aSet0(sdtmndt0(xS,sK11))
| ~ spl16_4
| ~ spl16_11 ),
inference(resolution,[],[f558,f151]) ).
fof(f563,plain,
( ! [X0] :
( ~ aElement0(sK12(X0,sdtmndt0(xS,sK11)))
| aElementOf0(sK12(X0,sdtmndt0(xS,sK11)),xS)
| aSubsetOf0(sdtmndt0(xS,sK11),X0)
| ~ aSet0(X0) )
| ~ spl16_4
| ~ spl16_11 ),
inference(subsumption_resolution,[],[f561,f532]) ).
fof(f561,plain,
( ! [X0] :
( ~ aElement0(sK12(X0,sdtmndt0(xS,sK11)))
| aElementOf0(sK12(X0,sdtmndt0(xS,sK11)),xS)
| aSubsetOf0(sdtmndt0(xS,sK11),X0)
| ~ aSet0(sdtmndt0(xS,sK11))
| ~ aSet0(X0) )
| ~ spl16_4
| ~ spl16_11 ),
inference(resolution,[],[f558,f146]) ).
fof(f558,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtmndt0(xS,sK11))
| ~ aElement0(X0)
| aElementOf0(X0,xS) )
| ~ spl16_4
| ~ spl16_11 ),
inference(resolution,[],[f557,f165]) ).
fof(f557,plain,
( sP9(sK11,sdtmndt0(xS,sK11),xS)
| ~ spl16_4
| ~ spl16_11 ),
inference(subsumption_resolution,[],[f517,f532]) ).
fof(f532,plain,
( aSet0(sdtmndt0(xS,sK11))
| ~ spl16_11 ),
inference(avatar_component_clause,[],[f531]) ).
fof(f516,plain,
( ! [X0] :
( ~ aElementOf0(X0,xS)
| ~ aSet0(sdtmndt0(xS,sK11))
| aElement0(X0) )
| ~ spl16_4 ),
inference(subsumption_resolution,[],[f512,f494]) ).
fof(f512,plain,
( ! [X0] :
( ~ aElementOf0(X0,xS)
| ~ aSet0(sdtmndt0(xS,sK11))
| ~ aElement0(sK11)
| aElement0(X0) )
| ~ spl16_4 ),
inference(superposition,[],[f245,f493]) ).
fof(f517,plain,
( sP9(sK11,sdtmndt0(xS,sK11),xS)
| ~ aSet0(sdtmndt0(xS,sK11))
| ~ spl16_4 ),
inference(subsumption_resolution,[],[f514,f494]) ).
fof(f514,plain,
( sP9(sK11,sdtmndt0(xS,sK11),xS)
| ~ aElement0(sK11)
| ~ aSet0(sdtmndt0(xS,sK11))
| ~ spl16_4 ),
inference(superposition,[],[f186,f493]) ).
fof(f493,plain,
( xS = sdtpldt0(sdtmndt0(xS,sK11),sK11)
| ~ spl16_4 ),
inference(subsumption_resolution,[],[f491,f139]) ).
fof(f491,plain,
( xS = sdtpldt0(sdtmndt0(xS,sK11),sK11)
| ~ aSet0(xS)
| ~ spl16_4 ),
inference(resolution,[],[f210,f143]) ).
fof(f1202,plain,
( sK11 = sK13(xS)
| slcrc0 = xS
| ~ spl16_4
| ~ spl16_8
| ~ spl16_25
| ~ spl16_27 ),
inference(forward_demodulation,[],[f1201,f1176]) ).
fof(f1201,plain,
( sK13(sdtpldt0(xS,xx)) = sK13(xS)
| slcrc0 = xS
| ~ spl16_8
| ~ spl16_25
| ~ spl16_27 ),
inference(subsumption_resolution,[],[f1180,f139]) ).
fof(f1281,plain,
( ~ spl16_14
| ~ spl16_15 ),
inference(avatar_contradiction_clause,[],[f1280]) ).
fof(f1280,plain,
( $false
| ~ spl16_14
| ~ spl16_15 ),
inference(subsumption_resolution,[],[f1228,f180]) ).
fof(f1228,plain,
( aElementOf0(sK13(sdtmndt0(slcrc0,sK11)),slcrc0)
| ~ spl16_14
| ~ spl16_15 ),
inference(superposition,[],[f599,f640]) ).
fof(f640,plain,
( slcrc0 = xS
| ~ spl16_15 ),
inference(avatar_component_clause,[],[f638]) ).
fof(f1272,plain,
( ~ spl16_8
| ~ spl16_15 ),
inference(avatar_contradiction_clause,[],[f1271]) ).
fof(f1271,plain,
( $false
| ~ spl16_8
| ~ spl16_15 ),
inference(subsumption_resolution,[],[f1211,f180]) ).
fof(f1211,plain,
( aElementOf0(sK13(sdtpldt0(slcrc0,xx)),slcrc0)
| ~ spl16_8
| ~ spl16_15 ),
inference(superposition,[],[f275,f640]) ).
fof(f1270,plain,
( ~ spl16_4
| ~ spl16_15 ),
inference(avatar_contradiction_clause,[],[f1269]) ).
fof(f1269,plain,
( $false
| ~ spl16_4
| ~ spl16_15 ),
inference(subsumption_resolution,[],[f1207,f180]) ).
fof(f1207,plain,
( aElementOf0(sK11,slcrc0)
| ~ spl16_4
| ~ spl16_15 ),
inference(superposition,[],[f210,f640]) ).
fof(f1204,plain,
( spl16_15
| ~ spl16_4
| ~ spl16_8
| spl16_16
| ~ spl16_25
| ~ spl16_27 ),
inference(avatar_split_clause,[],[f1203,f1135,f1088,f642,f273,f208,f638]) ).
fof(f1203,plain,
( slcrc0 = xS
| ~ spl16_4
| ~ spl16_8
| spl16_16
| ~ spl16_25
| ~ spl16_27 ),
inference(subsumption_resolution,[],[f1202,f643]) ).
fof(f643,plain,
( sK11 != sK13(xS)
| spl16_16 ),
inference(avatar_component_clause,[],[f642]) ).
fof(f1200,plain,
( ~ spl16_4
| ~ spl16_8
| spl16_13
| ~ spl16_25
| ~ spl16_27 ),
inference(avatar_contradiction_clause,[],[f1199]) ).
fof(f1199,plain,
( $false
| ~ spl16_4
| ~ spl16_8
| spl16_13
| ~ spl16_25
| ~ spl16_27 ),
inference(subsumption_resolution,[],[f1193,f594]) ).
fof(f594,plain,
( slcrc0 != sdtmndt0(xS,sK11)
| spl16_13 ),
inference(avatar_component_clause,[],[f593]) ).
fof(f1142,plain,
( spl16_27
| spl16_28
| ~ spl16_25
| ~ spl16_26 ),
inference(avatar_split_clause,[],[f1126,f1092,f1088,f1139,f1135]) ).
fof(f1126,plain,
( aElementOf0(sK13(sdtmndt0(xS,sK13(sdtpldt0(xS,xx)))),xS)
| slcrc0 = sdtmndt0(xS,sK13(sdtpldt0(xS,xx)))
| ~ spl16_25
| ~ spl16_26 ),
inference(subsumption_resolution,[],[f1122,f1089]) ).
fof(f1122,plain,
( aElementOf0(sK13(sdtmndt0(xS,sK13(sdtpldt0(xS,xx)))),xS)
| slcrc0 = sdtmndt0(xS,sK13(sdtpldt0(xS,xx)))
| ~ aSet0(sdtmndt0(xS,sK13(sdtpldt0(xS,xx))))
| ~ spl16_26 ),
inference(resolution,[],[f1093,f151]) ).
fof(f1118,plain,
( spl16_5
| ~ spl16_8
| ~ spl16_25 ),
inference(avatar_contradiction_clause,[],[f1117]) ).
fof(f1117,plain,
( $false
| spl16_5
| ~ spl16_8
| ~ spl16_25 ),
inference(global_subsumption,[],[f1089,f121,f177,f131,f129,f179,f159,f158,f157,f170,f189,f169,f168,f136,f138,f139,f181,f137,f180,f126,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f115,f113,f111,f133,f123,f134,f124,f128,f118,f386,f178,f176,f132,f122,f116,f109,f112,f106,f110,f104,f108,f107,f105,f114,f127,f117,f241,f573,f574,f353,f584,f585,f164,f625,f174,f650,f119,f220,f275,f749,f188,f155,f830,f156,f908,f926,f934,f924,f162,f167,f1009,f1027,f1030,f1025,f910,f1011,f927,f1028,f173,f175,f1082,f231,f1100,f757,f760]) ).
fof(f231,plain,
( ~ aElement0(sK13(sdtpldt0(xS,xx)))
| spl16_5 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f1116,plain,
( spl16_5
| ~ spl16_8 ),
inference(avatar_contradiction_clause,[],[f1115]) ).
fof(f1115,plain,
( $false
| spl16_5
| ~ spl16_8 ),
inference(global_subsumption,[],[f121,f177,f131,f129,f179,f159,f158,f157,f170,f189,f169,f168,f136,f138,f139,f181,f137,f180,f126,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f115,f113,f111,f133,f123,f134,f124,f128,f118,f386,f178,f176,f132,f122,f116,f109,f112,f106,f110,f104,f108,f107,f105,f114,f127,f117,f241,f573,f574,f353,f584,f585,f164,f625,f174,f650,f119,f220,f275,f749,f188,f155,f830,f156,f908,f926,f934,f924,f162,f167,f1009,f1027,f1030,f1025,f910,f1011,f927,f1028,f173,f175,f1082,f231,f1100,f757,f760]) ).
fof(f1114,plain,
( spl16_5
| ~ spl16_8 ),
inference(avatar_contradiction_clause,[],[f1113]) ).
fof(f1113,plain,
( $false
| spl16_5
| ~ spl16_8 ),
inference(global_subsumption,[],[f121,f177,f131,f129,f179,f159,f158,f157,f170,f189,f169,f168,f136,f138,f139,f181,f137,f180,f126,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f115,f113,f111,f133,f123,f134,f124,f128,f118,f386,f178,f176,f132,f122,f116,f109,f112,f106,f110,f104,f108,f107,f105,f114,f127,f117,f241,f573,f574,f353,f584,f585,f164,f625,f174,f650,f119,f220,f275,f749,f188,f155,f830,f156,f908,f926,f934,f924,f162,f167,f1009,f1027,f1030,f1025,f910,f1011,f927,f1028,f173,f175,f1082,f231,f1100,f757]) ).
fof(f1112,plain,
( spl16_5
| ~ spl16_8 ),
inference(avatar_contradiction_clause,[],[f1111]) ).
fof(f1111,plain,
( $false
| spl16_5
| ~ spl16_8 ),
inference(global_subsumption,[],[f121,f177,f131,f129,f179,f159,f158,f157,f170,f189,f169,f168,f136,f138,f139,f181,f137,f180,f126,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f115,f113,f111,f133,f123,f134,f124,f128,f118,f386,f178,f176,f132,f122,f116,f109,f112,f106,f110,f104,f108,f107,f105,f114,f127,f117,f241,f573,f574,f353,f584,f585,f164,f625,f174,f650,f119,f220,f275,f749,f188,f155,f830,f156,f908,f926,f934,f924,f162,f167,f1009,f1027,f1030,f1025,f910,f1011,f927,f1028,f173,f175,f1082,f231,f1100]) ).
fof(f1110,plain,
( spl16_5
| ~ spl16_8
| ~ spl16_12 ),
inference(avatar_contradiction_clause,[],[f1109]) ).
fof(f1109,plain,
( $false
| spl16_5
| ~ spl16_8
| ~ spl16_12 ),
inference(global_subsumption,[],[f746,f121,f177,f131,f129,f179,f159,f158,f157,f170,f189,f169,f168,f136,f138,f139,f181,f137,f180,f126,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f115,f113,f111,f133,f123,f134,f124,f128,f118,f386,f178,f176,f132,f122,f116,f109,f112,f106,f110,f104,f108,f107,f105,f114,f127,f117,f241,f573,f574,f353,f584,f585,f164,f625,f174,f650,f119,f220,f275,f749,f188,f155,f830,f156,f908,f926,f934,f924,f162,f167,f1009,f1027,f1030,f1025,f910,f1011,f927,f1028,f173,f175,f1082,f1100,f231]) ).
fof(f746,plain,
( aElement0(sK13(sdtpldt0(xS,xx)))
| ~ spl16_8
| ~ spl16_12 ),
inference(resolution,[],[f275,f536]) ).
fof(f536,plain,
( ! [X0] :
( ~ aElementOf0(X0,xS)
| aElement0(X0) )
| ~ spl16_12 ),
inference(avatar_component_clause,[],[f535]) ).
fof(f535,plain,
( spl16_12
<=> ! [X0] :
( ~ aElementOf0(X0,xS)
| aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_12])]) ).
fof(f1108,plain,
( spl16_5
| ~ spl16_8 ),
inference(avatar_contradiction_clause,[],[f1107]) ).
fof(f1107,plain,
( $false
| spl16_5
| ~ spl16_8 ),
inference(global_subsumption,[],[f121,f177,f131,f129,f179,f159,f158,f157,f170,f189,f169,f168,f136,f138,f139,f181,f137,f180,f126,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f115,f113,f111,f133,f123,f134,f124,f128,f118,f386,f178,f176,f132,f122,f116,f109,f112,f106,f110,f104,f108,f107,f105,f114,f127,f117,f241,f573,f574,f353,f584,f585,f164,f625,f174,f650,f119,f220,f275,f749,f188,f155,f830,f156,f908,f926,f934,f924,f162,f167,f1009,f1027,f1030,f1025,f910,f1011,f927,f1028,f173,f175,f1082,f1100,f231]) ).
fof(f1106,plain,
( spl16_5
| ~ spl16_8
| spl16_25 ),
inference(avatar_contradiction_clause,[],[f1105]) ).
fof(f1105,plain,
( $false
| spl16_5
| ~ spl16_8
| spl16_25 ),
inference(global_subsumption,[],[f231,f121,f177,f131,f129,f179,f159,f158,f157,f170,f189,f169,f168,f136,f138,f139,f181,f137,f180,f126,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f115,f113,f111,f133,f123,f134,f124,f128,f118,f386,f178,f176,f132,f122,f116,f109,f112,f106,f110,f104,f108,f107,f105,f114,f127,f117,f241,f573,f574,f353,f584,f585,f164,f625,f174,f650,f119,f220,f275,f749,f188,f155,f830,f156,f908,f926,f934,f924,f162,f167,f1009,f1027,f1030,f1025,f910,f1011,f927,f1028,f173,f175,f1082,f1090,f1099,f1100]) ).
fof(f1099,plain,
( ~ aElement0(sK13(sdtpldt0(xS,xx)))
| spl16_25 ),
inference(subsumption_resolution,[],[f1095,f139]) ).
fof(f1095,plain,
( ~ aElement0(sK13(sdtpldt0(xS,xx)))
| ~ aSet0(xS)
| spl16_25 ),
inference(resolution,[],[f1090,f184]) ).
fof(f1090,plain,
( ~ aSet0(sdtmndt0(xS,sK13(sdtpldt0(xS,xx))))
| spl16_25 ),
inference(avatar_component_clause,[],[f1088]) ).
fof(f1104,plain,
( ~ spl16_8
| ~ spl16_12
| spl16_25 ),
inference(avatar_contradiction_clause,[],[f1103]) ).
fof(f1103,plain,
( $false
| ~ spl16_8
| ~ spl16_12
| spl16_25 ),
inference(global_subsumption,[],[f746,f121,f177,f131,f129,f179,f159,f158,f157,f170,f189,f169,f168,f136,f138,f139,f181,f137,f180,f126,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f115,f113,f111,f133,f123,f134,f124,f128,f118,f386,f178,f176,f132,f122,f116,f109,f112,f106,f110,f104,f108,f107,f105,f114,f127,f117,f241,f573,f574,f353,f584,f585,f164,f625,f174,f650,f119,f220,f275,f749,f188,f155,f830,f156,f908,f926,f934,f924,f162,f167,f1009,f1027,f1030,f1025,f910,f1011,f927,f1028,f173,f175,f1082,f1090,f1099,f1100]) ).
fof(f1102,plain,
( ~ spl16_8
| spl16_25 ),
inference(avatar_contradiction_clause,[],[f1101]) ).
fof(f1101,plain,
( $false
| ~ spl16_8
| spl16_25 ),
inference(global_subsumption,[],[f121,f177,f131,f129,f179,f159,f158,f157,f170,f189,f169,f168,f136,f138,f139,f181,f137,f180,f126,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f115,f113,f111,f133,f123,f134,f124,f128,f118,f386,f178,f176,f132,f122,f116,f109,f112,f106,f110,f104,f108,f107,f105,f114,f127,f117,f241,f573,f574,f353,f584,f585,f164,f625,f174,f650,f119,f220,f275,f749,f188,f155,f830,f156,f908,f926,f934,f924,f162,f167,f1009,f1027,f1030,f1025,f910,f1011,f927,f1028,f173,f175,f1082,f1090,f1099,f1100]) ).
fof(f1098,plain,
( ~ spl16_5
| spl16_25 ),
inference(avatar_contradiction_clause,[],[f1097]) ).
fof(f1097,plain,
( $false
| ~ spl16_5
| spl16_25 ),
inference(subsumption_resolution,[],[f1096,f139]) ).
fof(f1096,plain,
( ~ aSet0(xS)
| ~ spl16_5
| spl16_25 ),
inference(subsumption_resolution,[],[f1095,f232]) ).
fof(f1094,plain,
( ~ spl16_25
| spl16_26
| ~ spl16_5
| ~ spl16_8 ),
inference(avatar_split_clause,[],[f762,f273,f230,f1092,f1088]) ).
fof(f762,plain,
( ! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,sdtmndt0(xS,sK13(sdtpldt0(xS,xx))))
| ~ aSet0(sdtmndt0(xS,sK13(sdtpldt0(xS,xx)))) )
| ~ spl16_5
| ~ spl16_8 ),
inference(subsumption_resolution,[],[f757,f232]) ).
fof(f1042,plain,
( spl16_23
| spl16_24
| spl16_2
| ~ spl16_22 ),
inference(avatar_split_clause,[],[f1000,f825,f195,f1039,f1035]) ).
fof(f1035,plain,
( spl16_23
<=> xx = sK13(sdtmndt0(sdtpldt0(xS,xx),sK11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_23])]) ).
fof(f1039,plain,
( spl16_24
<=> aElementOf0(sK13(sdtmndt0(sdtpldt0(xS,xx),sK11)),xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_24])]) ).
fof(f825,plain,
( spl16_22
<=> aElementOf0(sK13(sdtmndt0(sdtpldt0(xS,xx),sK11)),sdtpldt0(xS,xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_22])]) ).
fof(f1000,plain,
( aElementOf0(sK13(sdtmndt0(sdtpldt0(xS,xx),sK11)),xS)
| xx = sK13(sdtmndt0(sdtpldt0(xS,xx),sK11))
| spl16_2
| ~ spl16_22 ),
inference(resolution,[],[f827,f469]) ).
fof(f827,plain,
( aElementOf0(sK13(sdtmndt0(sdtpldt0(xS,xx),sK11)),sdtpldt0(xS,xx))
| ~ spl16_22 ),
inference(avatar_component_clause,[],[f825]) ).
fof(f994,plain,
( spl16_2
| spl16_17
| ~ spl16_18
| ~ spl16_20
| ~ spl16_21 ),
inference(avatar_contradiction_clause,[],[f993]) ).
fof(f993,plain,
( $false
| spl16_2
| spl16_17
| ~ spl16_18
| ~ spl16_20
| ~ spl16_21 ),
inference(subsumption_resolution,[],[f988,f684]) ).
fof(f988,plain,
( xx = sK11
| spl16_2
| ~ spl16_18
| ~ spl16_20
| ~ spl16_21 ),
inference(resolution,[],[f985,f870]) ).
fof(f870,plain,
( aElementOf0(xx,sdtpldt0(slcrc0,sK11))
| spl16_2
| ~ spl16_18
| ~ spl16_21 ),
inference(superposition,[],[f707,f835]) ).
fof(f835,plain,
( sdtpldt0(xS,xx) = sdtpldt0(slcrc0,sK11)
| spl16_2
| ~ spl16_18
| ~ spl16_21 ),
inference(superposition,[],[f745,f823]) ).
fof(f823,plain,
( slcrc0 = sdtmndt0(sdtpldt0(xS,xx),sK11)
| ~ spl16_21 ),
inference(avatar_component_clause,[],[f821]) ).
fof(f821,plain,
( spl16_21
<=> slcrc0 = sdtmndt0(sdtpldt0(xS,xx),sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_21])]) ).
fof(f745,plain,
( sdtpldt0(xS,xx) = sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),sK11),sK11)
| spl16_2
| ~ spl16_18 ),
inference(subsumption_resolution,[],[f743,f484]) ).
fof(f743,plain,
( sdtpldt0(xS,xx) = sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),sK11),sK11)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ spl16_18 ),
inference(resolution,[],[f688,f143]) ).
fof(f707,plain,
( aElementOf0(xx,sdtpldt0(xS,xx))
| spl16_2 ),
inference(subsumption_resolution,[],[f386,f467]) ).
fof(f985,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtpldt0(slcrc0,sK11))
| sK11 = X0 )
| spl16_2
| ~ spl16_18
| ~ spl16_20
| ~ spl16_21 ),
inference(forward_demodulation,[],[f841,f835]) ).
fof(f841,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtpldt0(xS,xx))
| sK11 = X0 )
| ~ spl16_20
| ~ spl16_21 ),
inference(subsumption_resolution,[],[f831,f180]) ).
fof(f831,plain,
( ! [X0] :
( aElementOf0(X0,slcrc0)
| ~ aElementOf0(X0,sdtpldt0(xS,xx))
| sK11 = X0 )
| ~ spl16_20
| ~ spl16_21 ),
inference(superposition,[],[f795,f823]) ).
fof(f795,plain,
( ! [X0] :
( aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),sK11))
| ~ aElementOf0(X0,sdtpldt0(xS,xx))
| sK11 = X0 )
| ~ spl16_20 ),
inference(resolution,[],[f789,f164]) ).
fof(f789,plain,
( sP9(sK11,sdtmndt0(sdtpldt0(xS,xx),sK11),sdtpldt0(xS,xx))
| ~ spl16_20 ),
inference(avatar_component_clause,[],[f787]) ).
fof(f787,plain,
( spl16_20
<=> sP9(sK11,sdtmndt0(sdtpldt0(xS,xx),sK11),sdtpldt0(xS,xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_20])]) ).
fof(f828,plain,
( spl16_21
| spl16_22
| spl16_2
| ~ spl16_4
| ~ spl16_18
| ~ spl16_19
| ~ spl16_20 ),
inference(avatar_split_clause,[],[f803,f787,f783,f687,f208,f195,f825,f821]) ).
fof(f783,plain,
( spl16_19
<=> aSet0(sdtmndt0(sdtpldt0(xS,xx),sK11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_19])]) ).
fof(f803,plain,
( aElementOf0(sK13(sdtmndt0(sdtpldt0(xS,xx),sK11)),sdtpldt0(xS,xx))
| slcrc0 = sdtmndt0(sdtpldt0(xS,xx),sK11)
| spl16_2
| ~ spl16_4
| ~ spl16_18
| ~ spl16_19
| ~ spl16_20 ),
inference(subsumption_resolution,[],[f801,f784]) ).
fof(f784,plain,
( aSet0(sdtmndt0(sdtpldt0(xS,xx),sK11))
| ~ spl16_19 ),
inference(avatar_component_clause,[],[f783]) ).
fof(f801,plain,
( aElementOf0(sK13(sdtmndt0(sdtpldt0(xS,xx),sK11)),sdtpldt0(xS,xx))
| slcrc0 = sdtmndt0(sdtpldt0(xS,xx),sK11)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),sK11))
| spl16_2
| ~ spl16_4
| ~ spl16_18
| ~ spl16_19
| ~ spl16_20 ),
inference(resolution,[],[f799,f151]) ).
fof(f799,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),sK11))
| aElementOf0(X0,sdtpldt0(xS,xx)) )
| spl16_2
| ~ spl16_4
| ~ spl16_18
| ~ spl16_19
| ~ spl16_20 ),
inference(global_subsumption,[],[f796,f121,f177,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f173,f175,f136,f138,f139,f181,f137,f180,f126,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f115,f113,f111,f133,f123,f470,f134,f471,f124,f472,f128,f118,f474,f386,f178,f176,f478,f132,f122,f480,f116,f109,f481,f112,f106,f483,f110,f104,f485,f108,f486,f107,f487,f105,f488,f114,f489,f127,f196,f466,f467,f210,f494,f117,f484,f482,f465,f476,f479,f490,f493,f517,f473,f516,f469,f570,f241,f573,f574,f353,f584,f585,f164,f625,f174,f650,f119,f220,f707,f688,f745,f755,f739,f770,f772,f773,f777,f699,f780,f781,f756,f784]) ).
fof(f756,plain,
( sP9(sK11,sdtmndt0(sdtpldt0(xS,xx),sK11),sdtpldt0(xS,xx))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),sK11))
| spl16_2
| ~ spl16_4
| ~ spl16_18 ),
inference(subsumption_resolution,[],[f753,f494]) ).
fof(f753,plain,
( sP9(sK11,sdtmndt0(sdtpldt0(xS,xx),sK11),sdtpldt0(xS,xx))
| ~ aElement0(sK11)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),sK11))
| spl16_2
| ~ spl16_18 ),
inference(superposition,[],[f186,f745]) ).
fof(f781,plain,
( aElementOf0(sK13(sdtmndt0(sdtpldt0(xS,xx),xx)),sdtpldt0(xS,xx))
| slcrc0 = sdtmndt0(sdtpldt0(xS,xx),xx)
| spl16_2 ),
inference(subsumption_resolution,[],[f779,f482]) ).
fof(f779,plain,
( aElementOf0(sK13(sdtmndt0(sdtpldt0(xS,xx),xx)),sdtpldt0(xS,xx))
| slcrc0 = sdtmndt0(sdtpldt0(xS,xx),xx)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| spl16_2 ),
inference(resolution,[],[f699,f151]) ).
fof(f780,plain,
( ! [X0] :
( aElementOf0(sK12(X0,sdtmndt0(sdtpldt0(xS,xx),xx)),sdtpldt0(xS,xx))
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),X0)
| ~ aSet0(X0) )
| spl16_2 ),
inference(subsumption_resolution,[],[f778,f482]) ).
fof(f778,plain,
( ! [X0] :
( aElementOf0(sK12(X0,sdtmndt0(sdtpldt0(xS,xx),xx)),sdtpldt0(xS,xx))
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),X0)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(X0) )
| spl16_2 ),
inference(resolution,[],[f699,f146]) ).
fof(f699,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(X0,sdtpldt0(xS,xx)) )
| spl16_2 ),
inference(subsumption_resolution,[],[f129,f466]) ).
fof(f777,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(X0,sdtpldt0(xS,xx)) )
| spl16_2 ),
inference(subsumption_resolution,[],[f774,f473]) ).
fof(f774,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElement0(X0)
| aElementOf0(X0,sdtpldt0(xS,xx)) )
| spl16_2 ),
inference(resolution,[],[f772,f165]) ).
fof(f773,plain,
( ! [X0] :
( aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X0,sdtpldt0(xS,xx))
| xx = X0 )
| spl16_2 ),
inference(resolution,[],[f772,f164]) ).
fof(f772,plain,
( sP9(xx,sdtmndt0(sdtpldt0(xS,xx),xx),sdtpldt0(xS,xx))
| spl16_2 ),
inference(subsumption_resolution,[],[f771,f482]) ).
fof(f771,plain,
( sP9(xx,sdtmndt0(sdtpldt0(xS,xx),xx),sdtpldt0(xS,xx))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| spl16_2 ),
inference(subsumption_resolution,[],[f767,f138]) ).
fof(f767,plain,
( sP9(xx,sdtmndt0(sdtpldt0(xS,xx),xx),sdtpldt0(xS,xx))
| ~ aElement0(xx)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| spl16_2 ),
inference(superposition,[],[f186,f739]) ).
fof(f770,plain,
( ! [X0] :
( aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
| spl16_2 ),
inference(subsumption_resolution,[],[f769,f482]) ).
fof(f769,plain,
( ! [X0] :
( aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
| spl16_2 ),
inference(subsumption_resolution,[],[f764,f138]) ).
fof(f764,plain,
( ! [X0] :
( aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElement0(xx)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
| spl16_2 ),
inference(superposition,[],[f353,f739]) ).
fof(f739,plain,
( sdtpldt0(xS,xx) = sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),xx)
| spl16_2 ),
inference(subsumption_resolution,[],[f737,f484]) ).
fof(f737,plain,
( sdtpldt0(xS,xx) = sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),xx)
| ~ aSet0(sdtpldt0(xS,xx))
| spl16_2 ),
inference(resolution,[],[f707,f143]) ).
fof(f755,plain,
( ! [X0] :
( aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),sK11))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),sK11)) )
| spl16_2
| ~ spl16_4
| ~ spl16_18 ),
inference(subsumption_resolution,[],[f750,f494]) ).
fof(f750,plain,
( ! [X0] :
( aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),sK11))
| ~ aElement0(sK11)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),sK11)) )
| spl16_2
| ~ spl16_18 ),
inference(superposition,[],[f353,f745]) ).
fof(f570,plain,
( ! [X0] :
( aElementOf0(sK12(X0,sdtpldt0(xS,xx)),xS)
| xx = sK12(X0,sdtpldt0(xS,xx))
| aSubsetOf0(sdtpldt0(xS,xx),X0)
| ~ aSet0(X0) )
| spl16_2 ),
inference(subsumption_resolution,[],[f568,f484]) ).
fof(f568,plain,
( ! [X0] :
( aElementOf0(sK12(X0,sdtpldt0(xS,xx)),xS)
| xx = sK12(X0,sdtpldt0(xS,xx))
| aSubsetOf0(sdtpldt0(xS,xx),X0)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aSet0(X0) )
| spl16_2 ),
inference(resolution,[],[f469,f146]) ).
fof(f796,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),sK11))
| ~ aElement0(X0)
| aElementOf0(X0,sdtpldt0(xS,xx)) )
| ~ spl16_20 ),
inference(resolution,[],[f789,f165]) ).
fof(f794,plain,
( spl16_2
| ~ spl16_4
| spl16_19 ),
inference(avatar_contradiction_clause,[],[f793]) ).
fof(f793,plain,
( $false
| spl16_2
| ~ spl16_4
| spl16_19 ),
inference(subsumption_resolution,[],[f792,f484]) ).
fof(f792,plain,
( ~ aSet0(sdtpldt0(xS,xx))
| ~ spl16_4
| spl16_19 ),
inference(subsumption_resolution,[],[f791,f494]) ).
fof(f791,plain,
( ~ aElement0(sK11)
| ~ aSet0(sdtpldt0(xS,xx))
| spl16_19 ),
inference(resolution,[],[f785,f184]) ).
fof(f785,plain,
( ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),sK11))
| spl16_19 ),
inference(avatar_component_clause,[],[f783]) ).
fof(f790,plain,
( ~ spl16_19
| spl16_20
| spl16_2
| ~ spl16_4
| ~ spl16_18 ),
inference(avatar_split_clause,[],[f756,f687,f208,f195,f787,f783]) ).
fof(f731,plain,
( ~ spl16_4
| ~ spl16_17 ),
inference(avatar_contradiction_clause,[],[f730]) ).
fof(f730,plain,
( $false
| ~ spl16_4
| ~ spl16_17 ),
inference(subsumption_resolution,[],[f718,f137]) ).
fof(f718,plain,
( aElementOf0(xx,xS)
| ~ spl16_4
| ~ spl16_17 ),
inference(superposition,[],[f210,f685]) ).
fof(f685,plain,
( xx = sK11
| ~ spl16_17 ),
inference(avatar_component_clause,[],[f683]) ).
fof(f715,plain,
( spl16_2
| spl16_6
| spl16_7
| spl16_8 ),
inference(avatar_contradiction_clause,[],[f714]) ).
fof(f714,plain,
( $false
| spl16_2
| spl16_6
| spl16_7
| spl16_8 ),
inference(global_subsumption,[],[f121,f177,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f173,f175,f136,f138,f139,f181,f137,f180,f126,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f243,f186,f246,f145,f242,f245,f235,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f115,f113,f111,f133,f123,f470,f134,f471,f124,f472,f128,f118,f474,f386,f178,f176,f478,f132,f122,f480,f116,f109,f481,f112,f106,f483,f110,f104,f485,f108,f486,f107,f487,f105,f488,f114,f489,f127,f196,f466,f467,f117,f484,f482,f465,f476,f479,f490,f473,f469,f570,f241,f573,f574,f353,f584,f585,f164,f625,f174,f650,f699,f119,f702,f220,f707,f274,f270]) ).
fof(f270,plain,
( xx != sK13(sdtpldt0(xS,xx))
| spl16_7 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f269,plain,
( spl16_7
<=> xx = sK13(sdtpldt0(xS,xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_7])]) ).
fof(f274,plain,
( ~ aElementOf0(sK13(sdtpldt0(xS,xx)),xS)
| spl16_8 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f702,plain,
( aElementOf0(sK13(sdtpldt0(xS,xx)),xS)
| xx = sK13(sdtpldt0(xS,xx))
| spl16_2
| spl16_6 ),
inference(subsumption_resolution,[],[f701,f484]) ).
fof(f701,plain,
( aElementOf0(sK13(sdtpldt0(xS,xx)),xS)
| xx = sK13(sdtpldt0(xS,xx))
| ~ aSet0(sdtpldt0(xS,xx))
| spl16_2
| spl16_6 ),
inference(subsumption_resolution,[],[f569,f235]) ).
fof(f569,plain,
( aElementOf0(sK13(sdtpldt0(xS,xx)),xS)
| xx = sK13(sdtpldt0(xS,xx))
| slcrc0 = sdtpldt0(xS,xx)
| ~ aSet0(sdtpldt0(xS,xx))
| spl16_2 ),
inference(resolution,[],[f469,f151]) ).
fof(f235,plain,
( slcrc0 != sdtpldt0(xS,xx)
| spl16_6 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f234,plain,
( spl16_6
<=> slcrc0 = sdtpldt0(xS,xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_6])]) ).
fof(f713,plain,
( spl16_2
| spl16_6
| spl16_7
| spl16_8
| ~ spl16_18 ),
inference(avatar_contradiction_clause,[],[f712]) ).
fof(f712,plain,
( $false
| spl16_2
| spl16_6
| spl16_7
| spl16_8
| ~ spl16_18 ),
inference(global_subsumption,[],[f688,f121,f177,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f173,f175,f136,f138,f139,f181,f137,f180,f126,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f243,f186,f246,f145,f242,f245,f270,f235,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f115,f113,f111,f133,f123,f470,f134,f471,f124,f472,f128,f118,f474,f386,f178,f176,f478,f132,f122,f480,f116,f109,f481,f112,f106,f483,f110,f104,f485,f108,f486,f107,f487,f105,f488,f114,f489,f127,f196,f466,f467,f117,f484,f482,f465,f476,f479,f490,f473,f469,f570,f241,f573,f574,f353,f584,f585,f164,f625,f174,f650,f699,f119,f702,f220,f707,f274]) ).
fof(f711,plain,
( spl16_2
| spl16_6
| spl16_7
| spl16_8 ),
inference(avatar_contradiction_clause,[],[f710]) ).
fof(f710,plain,
( $false
| spl16_2
| spl16_6
| spl16_7
| spl16_8 ),
inference(global_subsumption,[],[f121,f177,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f173,f175,f136,f138,f139,f181,f137,f180,f126,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f243,f186,f246,f145,f242,f245,f270,f235,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f115,f113,f111,f133,f123,f470,f134,f471,f124,f472,f128,f118,f474,f386,f178,f176,f478,f132,f122,f480,f116,f109,f481,f112,f106,f483,f110,f104,f485,f108,f486,f107,f487,f105,f488,f114,f489,f127,f196,f466,f467,f117,f484,f482,f465,f476,f479,f490,f473,f469,f570,f241,f573,f574,f353,f584,f585,f164,f625,f174,f650,f699,f119,f702,f220,f707,f274]) ).
fof(f709,plain,
( spl16_2
| spl16_6
| spl16_7
| spl16_8 ),
inference(avatar_contradiction_clause,[],[f708]) ).
fof(f708,plain,
( $false
| spl16_2
| spl16_6
| spl16_7
| spl16_8 ),
inference(global_subsumption,[],[f121,f177,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f173,f175,f136,f138,f139,f181,f137,f180,f126,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f243,f186,f246,f145,f242,f245,f274,f270,f235,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f115,f113,f111,f133,f123,f470,f134,f471,f124,f472,f128,f118,f474,f386,f178,f176,f478,f132,f122,f480,f116,f109,f481,f112,f106,f483,f110,f104,f485,f108,f486,f107,f487,f105,f488,f114,f489,f127,f196,f466,f467,f117,f484,f482,f465,f476,f479,f490,f473,f469,f570,f241,f573,f574,f353,f584,f585,f164,f625,f174,f650,f699,f119,f702,f220,f707]) ).
fof(f706,plain,
( spl16_2
| spl16_6
| spl16_7
| spl16_8 ),
inference(avatar_contradiction_clause,[],[f705]) ).
fof(f705,plain,
( $false
| spl16_2
| spl16_6
| spl16_7
| spl16_8 ),
inference(global_subsumption,[],[f121,f177,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f173,f175,f136,f138,f139,f181,f137,f180,f126,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f243,f186,f246,f145,f242,f245,f274,f270,f235,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f115,f113,f111,f133,f123,f470,f134,f471,f124,f472,f128,f118,f474,f386,f178,f176,f478,f132,f122,f480,f116,f109,f481,f112,f106,f483,f110,f104,f485,f108,f486,f107,f487,f105,f488,f114,f489,f127,f196,f466,f467,f117,f484,f482,f465,f476,f479,f490,f473,f469,f570,f241,f573,f574,f353,f584,f585,f164,f625,f174,f650,f699,f119,f702,f220]) ).
fof(f704,plain,
( spl16_2
| spl16_6
| spl16_7
| spl16_8 ),
inference(avatar_contradiction_clause,[],[f703]) ).
fof(f703,plain,
( $false
| spl16_2
| spl16_6
| spl16_7
| spl16_8 ),
inference(global_subsumption,[],[f121,f177,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f173,f175,f136,f138,f139,f181,f137,f180,f126,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f243,f186,f246,f145,f242,f245,f274,f270,f235,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f115,f113,f111,f133,f123,f470,f134,f471,f124,f472,f128,f118,f474,f386,f178,f220,f176,f478,f132,f122,f480,f116,f109,f481,f112,f106,f483,f110,f104,f485,f108,f486,f107,f487,f105,f488,f114,f489,f127,f196,f466,f467,f117,f484,f482,f465,f476,f479,f490,f473,f469,f570,f241,f573,f574,f353,f584,f585,f164,f625,f174,f650,f699,f119,f702]) ).
fof(f698,plain,
( ~ spl16_4
| spl16_18 ),
inference(avatar_contradiction_clause,[],[f697]) ).
fof(f697,plain,
( $false
| ~ spl16_4
| spl16_18 ),
inference(subsumption_resolution,[],[f696,f139]) ).
fof(f696,plain,
( ~ aSet0(xS)
| ~ spl16_4
| spl16_18 ),
inference(subsumption_resolution,[],[f695,f138]) ).
fof(f695,plain,
( ~ aElement0(xx)
| ~ aSet0(xS)
| ~ spl16_4
| spl16_18 ),
inference(subsumption_resolution,[],[f692,f210]) ).
fof(f692,plain,
( ~ aElementOf0(sK11,xS)
| ~ aElement0(xx)
| ~ aSet0(xS)
| spl16_18 ),
inference(resolution,[],[f689,f353]) ).
fof(f689,plain,
( ~ aElementOf0(sK11,sdtpldt0(xS,xx))
| spl16_18 ),
inference(avatar_component_clause,[],[f687]) ).
fof(f694,plain,
( spl16_2
| ~ spl16_4
| ~ spl16_12
| spl16_18 ),
inference(avatar_contradiction_clause,[],[f693]) ).
fof(f693,plain,
( $false
| spl16_2
| ~ spl16_4
| ~ spl16_12
| spl16_18 ),
inference(subsumption_resolution,[],[f691,f210]) ).
fof(f691,plain,
( ~ aElementOf0(sK11,xS)
| spl16_2
| ~ spl16_12
| spl16_18 ),
inference(resolution,[],[f689,f549]) ).
fof(f549,plain,
( ! [X0] :
( aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aElementOf0(X0,xS) )
| spl16_2
| ~ spl16_12 ),
inference(subsumption_resolution,[],[f471,f536]) ).
fof(f690,plain,
( spl16_17
| ~ spl16_18
| spl16_2
| spl16_6
| ~ spl16_7 ),
inference(avatar_split_clause,[],[f678,f269,f234,f195,f687,f683]) ).
fof(f678,plain,
( ~ aElementOf0(sK11,sdtpldt0(xS,xx))
| xx = sK11
| spl16_2
| spl16_6
| ~ spl16_7 ),
inference(resolution,[],[f626,f490]) ).
fof(f626,plain,
( ! [X0] :
( aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X0,sdtpldt0(xS,xx))
| xx = X0 )
| spl16_2
| spl16_6
| ~ spl16_7 ),
inference(resolution,[],[f164,f523]) ).
fof(f523,plain,
( sP9(xx,sdtmndt0(sdtpldt0(xS,xx),xx),sdtpldt0(xS,xx))
| spl16_2
| spl16_6
| ~ spl16_7 ),
inference(subsumption_resolution,[],[f522,f482]) ).
fof(f522,plain,
( sP9(xx,sdtmndt0(sdtpldt0(xS,xx),xx),sdtpldt0(xS,xx))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| spl16_2
| spl16_6
| ~ spl16_7 ),
inference(subsumption_resolution,[],[f520,f138]) ).
fof(f520,plain,
( sP9(xx,sdtmndt0(sdtpldt0(xS,xx),xx),sdtpldt0(xS,xx))
| ~ aElement0(xx)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| spl16_2
| spl16_6
| ~ spl16_7 ),
inference(superposition,[],[f186,f498]) ).
fof(f498,plain,
( sdtpldt0(xS,xx) = sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),xx)
| spl16_2
| spl16_6
| ~ spl16_7 ),
inference(global_subsumption,[],[f121,f119,f177,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f235,f271,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f115,f465,f113,f111,f378,f133,f469,f123,f470,f134,f471,f124,f472,f128,f473,f118,f474,f386,f475,f178,f476,f220,f477,f176,f478,f132,f479,f122,f480,f116,f109,f481,f112,f482,f106,f483,f110,f484,f104,f485,f117,f108,f486,f107,f487,f105,f488,f114,f489,f127,f490,f196,f466,f467,f468,f496]) ).
fof(f496,plain,
( sdtpldt0(xS,xx) = sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),xx)
| ~ aSet0(sdtpldt0(xS,xx))
| spl16_2
| spl16_6
| ~ spl16_7 ),
inference(resolution,[],[f468,f143]) ).
fof(f468,plain,
( aElementOf0(xx,sdtpldt0(xS,xx))
| spl16_2
| spl16_6
| ~ spl16_7 ),
inference(global_subsumption,[],[f378,f114,f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f196,f105,f107,f108,f117,f104,f110,f106,f112,f109,f116,f122,f132,f176,f220,f178,f386,f118,f128,f124,f134,f123,f133,f115,f465,f113,f466,f111,f467]) ).
fof(f477,plain,
( aElementOf0(xx,sdtpldt0(xS,xx))
| spl16_2
| spl16_6
| ~ spl16_7 ),
inference(global_subsumption,[],[f114,f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f235,f271,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f196,f105,f107,f108,f117,f104,f110,f106,f112,f109,f116,f122,f132,f176,f115,f465,f113,f466,f111,f467,f378,f468,f133,f469,f123,f470,f134,f471,f124,f472,f128,f473,f118,f474,f386,f475,f178,f476,f220]) ).
fof(f475,plain,
( aElementOf0(xx,sdtpldt0(xS,xx))
| spl16_2
| spl16_6
| ~ spl16_7 ),
inference(global_subsumption,[],[f114,f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f235,f271,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f196,f105,f107,f108,f117,f104,f110,f106,f112,f109,f116,f122,f132,f176,f220,f178,f115,f465,f113,f466,f111,f467,f378,f468,f133,f469,f123,f470,f134,f471,f124,f472,f128,f473,f118,f474,f386]) ).
fof(f378,plain,
( aElementOf0(xx,sdtpldt0(xS,xx))
| ~ aSet0(sdtpldt0(xS,xx))
| spl16_6
| ~ spl16_7 ),
inference(subsumption_resolution,[],[f304,f235]) ).
fof(f304,plain,
( aElementOf0(xx,sdtpldt0(xS,xx))
| slcrc0 = sdtpldt0(xS,xx)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ spl16_7 ),
inference(superposition,[],[f151,f271]) ).
fof(f271,plain,
( xx = sK13(sdtpldt0(xS,xx))
| ~ spl16_7 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f645,plain,
( spl16_15
| spl16_16
| ~ spl16_4
| ~ spl16_11
| ~ spl16_13 ),
inference(avatar_split_clause,[],[f636,f593,f531,f208,f642,f638]) ).
fof(f600,plain,
( spl16_13
| spl16_14
| ~ spl16_4
| ~ spl16_11 ),
inference(avatar_split_clause,[],[f591,f531,f208,f597,f593]) ).
fof(f541,plain,
( ~ spl16_4
| spl16_11 ),
inference(avatar_contradiction_clause,[],[f540]) ).
fof(f540,plain,
( $false
| ~ spl16_4
| spl16_11 ),
inference(subsumption_resolution,[],[f539,f139]) ).
fof(f539,plain,
( ~ aSet0(xS)
| ~ spl16_4
| spl16_11 ),
inference(subsumption_resolution,[],[f538,f494]) ).
fof(f538,plain,
( ~ aElement0(sK11)
| ~ aSet0(xS)
| spl16_11 ),
inference(resolution,[],[f533,f184]) ).
fof(f533,plain,
( ~ aSet0(sdtmndt0(xS,sK11))
| spl16_11 ),
inference(avatar_component_clause,[],[f531]) ).
fof(f537,plain,
( ~ spl16_11
| spl16_12
| ~ spl16_4 ),
inference(avatar_split_clause,[],[f516,f208,f535,f531]) ).
fof(f507,plain,
( ~ spl16_9
| ~ spl16_10 ),
inference(avatar_split_clause,[],[f117,f504,f500]) ).
fof(f500,plain,
( spl16_9
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_9])]) ).
fof(f504,plain,
( spl16_10
<=> aElementOf0(sK10,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_10])]) ).
fof(f464,plain,
( spl16_2
| spl16_3
| ~ spl16_4 ),
inference(avatar_contradiction_clause,[],[f463]) ).
fof(f463,plain,
( $false
| spl16_2
| spl16_3
| ~ spl16_4 ),
inference(global_subsumption,[],[f210,f114,f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f206,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f375,f196,f105,f107,f108,f117,f104,f110,f106,f112,f109,f116,f122,f132,f176,f220,f178,f386,f118,f128,f124,f134,f123,f133,f111,f113,f115]) ).
fof(f375,plain,
( ~ sP6
| spl16_3 ),
inference(subsumption_resolution,[],[f114,f206]) ).
fof(f206,plain,
( ~ sP2
| spl16_3 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f204,plain,
( spl16_3
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_3])]) ).
fof(f462,plain,
( spl16_2
| spl16_3 ),
inference(avatar_contradiction_clause,[],[f461]) ).
fof(f461,plain,
( $false
| spl16_2
| spl16_3 ),
inference(global_subsumption,[],[f114,f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f206,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f375,f196,f105,f107,f108,f117,f104,f110,f106,f112,f109,f116,f122,f132,f176,f220,f178,f386,f118,f128,f124,f134,f123,f133,f111,f113,f115]) ).
fof(f460,plain,
( spl16_2
| spl16_3 ),
inference(avatar_contradiction_clause,[],[f459]) ).
fof(f459,plain,
( $false
| spl16_2
| spl16_3 ),
inference(global_subsumption,[],[f114,f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f206,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f115,f375,f196,f105,f107,f108,f117,f104,f110,f106,f112,f109,f116,f122,f132,f176,f220,f178,f386,f118,f128,f124,f134,f123,f133,f111,f113]) ).
fof(f458,plain,
( spl16_2
| spl16_3 ),
inference(avatar_contradiction_clause,[],[f457]) ).
fof(f457,plain,
( $false
| spl16_2
| spl16_3 ),
inference(global_subsumption,[],[f114,f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f206,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f115,f375,f113,f196,f105,f107,f108,f117,f104,f110,f106,f112,f109,f116,f122,f132,f176,f220,f178,f386,f118,f128,f124,f134,f123,f133,f111]) ).
fof(f456,plain,
( spl16_2
| spl16_3
| spl16_6
| ~ spl16_7 ),
inference(avatar_contradiction_clause,[],[f455]) ).
fof(f455,plain,
( $false
| spl16_2
| spl16_3
| spl16_6
| ~ spl16_7 ),
inference(global_subsumption,[],[f378,f114,f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f206,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f115,f375,f113,f111,f196,f105,f107,f108,f117,f104,f110,f106,f112,f109,f116,f122,f132,f176,f220,f178,f386,f118,f128,f124,f134,f123,f133]) ).
fof(f454,plain,
( spl16_2
| spl16_3 ),
inference(avatar_contradiction_clause,[],[f453]) ).
fof(f453,plain,
( $false
| spl16_2
| spl16_3 ),
inference(global_subsumption,[],[f114,f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f206,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f115,f375,f113,f111,f196,f105,f107,f108,f117,f104,f110,f106,f112,f109,f116,f122,f132,f176,f220,f178,f386,f118,f128,f124,f134,f123,f133]) ).
fof(f452,plain,
( spl16_2
| spl16_3 ),
inference(avatar_contradiction_clause,[],[f451]) ).
fof(f451,plain,
( $false
| spl16_2
| spl16_3 ),
inference(global_subsumption,[],[f114,f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f206,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f115,f375,f113,f111,f133,f196,f105,f107,f108,f117,f104,f110,f106,f112,f109,f116,f122,f132,f176,f220,f178,f386,f118,f128,f124,f134,f123]) ).
fof(f450,plain,
( spl16_2
| spl16_3 ),
inference(avatar_contradiction_clause,[],[f449]) ).
fof(f449,plain,
( $false
| spl16_2
| spl16_3 ),
inference(global_subsumption,[],[f114,f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f206,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f115,f375,f113,f111,f133,f123,f196,f105,f107,f108,f117,f104,f110,f106,f112,f109,f116,f122,f132,f176,f220,f178,f386,f118,f128,f124,f134]) ).
fof(f448,plain,
( spl16_2
| spl16_3 ),
inference(avatar_contradiction_clause,[],[f447]) ).
fof(f447,plain,
( $false
| spl16_2
| spl16_3 ),
inference(global_subsumption,[],[f114,f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f206,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f115,f375,f113,f111,f133,f123,f134,f196,f105,f107,f108,f117,f104,f110,f106,f112,f109,f116,f122,f132,f176,f220,f178,f386,f118,f128,f124]) ).
fof(f446,plain,
( spl16_2
| spl16_3 ),
inference(avatar_contradiction_clause,[],[f445]) ).
fof(f445,plain,
( $false
| spl16_2
| spl16_3 ),
inference(global_subsumption,[],[f114,f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f206,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f115,f375,f113,f111,f133,f123,f134,f124,f196,f105,f107,f108,f117,f104,f110,f106,f112,f109,f116,f122,f132,f176,f220,f178,f386,f118,f128]) ).
fof(f444,plain,
( spl16_2
| spl16_3 ),
inference(avatar_contradiction_clause,[],[f443]) ).
fof(f443,plain,
( $false
| spl16_2
| spl16_3 ),
inference(global_subsumption,[],[f114,f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f206,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f115,f375,f113,f111,f133,f123,f134,f124,f128,f196,f105,f107,f108,f117,f104,f110,f106,f112,f109,f116,f122,f132,f176,f220,f178,f386,f118]) ).
fof(f442,plain,
( spl16_2
| spl16_3 ),
inference(avatar_contradiction_clause,[],[f441]) ).
fof(f441,plain,
( $false
| spl16_2
| spl16_3 ),
inference(global_subsumption,[],[f114,f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f206,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f115,f375,f113,f111,f133,f123,f134,f124,f128,f118,f196,f105,f107,f108,f117,f104,f110,f106,f112,f109,f116,f122,f132,f176,f220,f178,f386]) ).
fof(f440,plain,
( spl16_2
| spl16_3 ),
inference(avatar_contradiction_clause,[],[f439]) ).
fof(f439,plain,
( $false
| spl16_2
| spl16_3 ),
inference(global_subsumption,[],[f114,f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f206,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f115,f375,f113,f111,f133,f123,f134,f124,f128,f118,f386,f196,f105,f107,f108,f117,f104,f110,f106,f112,f109,f116,f122,f132,f176,f220,f178]) ).
fof(f438,plain,
( spl16_2
| spl16_3 ),
inference(avatar_contradiction_clause,[],[f437]) ).
fof(f437,plain,
( $false
| spl16_2
| spl16_3 ),
inference(global_subsumption,[],[f114,f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f206,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f115,f375,f113,f111,f133,f123,f134,f124,f128,f118,f386,f178,f196,f105,f107,f108,f117,f104,f110,f106,f112,f109,f116,f122,f132,f176,f220]) ).
fof(f436,plain,
( spl16_2
| spl16_3 ),
inference(avatar_contradiction_clause,[],[f435]) ).
fof(f435,plain,
( $false
| spl16_2
| spl16_3 ),
inference(global_subsumption,[],[f114,f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f206,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f115,f375,f113,f111,f133,f123,f134,f124,f128,f118,f386,f178,f220,f196,f105,f107,f108,f117,f104,f110,f106,f112,f109,f116,f122,f132,f176]) ).
fof(f434,plain,
( spl16_2
| spl16_3 ),
inference(avatar_contradiction_clause,[],[f433]) ).
fof(f433,plain,
( $false
| spl16_2
| spl16_3 ),
inference(global_subsumption,[],[f114,f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f206,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f115,f375,f113,f111,f133,f123,f134,f124,f128,f118,f386,f178,f220,f176,f196,f105,f107,f108,f117,f104,f110,f106,f112,f109,f116,f122,f132]) ).
fof(f432,plain,
( spl16_2
| spl16_3 ),
inference(avatar_contradiction_clause,[],[f431]) ).
fof(f431,plain,
( $false
| spl16_2
| spl16_3 ),
inference(global_subsumption,[],[f114,f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f206,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f115,f375,f113,f111,f133,f123,f134,f124,f128,f118,f386,f178,f220,f176,f132,f196,f105,f107,f108,f117,f104,f110,f106,f112,f109,f116,f122]) ).
fof(f430,plain,
( spl16_2
| spl16_3 ),
inference(avatar_contradiction_clause,[],[f429]) ).
fof(f429,plain,
( $false
| spl16_2
| spl16_3 ),
inference(global_subsumption,[],[f114,f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f206,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f115,f375,f113,f111,f133,f123,f134,f124,f128,f118,f386,f178,f220,f176,f132,f122,f196,f105,f107,f108,f117,f104,f110,f106,f112,f109,f116]) ).
fof(f428,plain,
( spl16_2
| spl16_3 ),
inference(avatar_contradiction_clause,[],[f427]) ).
fof(f427,plain,
( $false
| spl16_2
| spl16_3 ),
inference(global_subsumption,[],[f114,f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f206,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f115,f375,f113,f111,f133,f123,f134,f124,f128,f118,f386,f178,f220,f176,f132,f122,f116,f196,f105,f107,f108,f117,f104,f110,f106,f112,f109]) ).
fof(f426,plain,
( spl16_2
| spl16_3 ),
inference(avatar_contradiction_clause,[],[f425]) ).
fof(f425,plain,
( $false
| spl16_2
| spl16_3 ),
inference(global_subsumption,[],[f114,f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f206,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f115,f375,f113,f111,f133,f123,f134,f124,f128,f118,f386,f178,f220,f176,f132,f122,f116,f109,f196,f105,f107,f108,f117,f104,f110,f106,f112]) ).
fof(f424,plain,
( spl16_2
| spl16_3 ),
inference(avatar_contradiction_clause,[],[f423]) ).
fof(f423,plain,
( $false
| spl16_2
| spl16_3 ),
inference(global_subsumption,[],[f114,f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f206,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f115,f375,f113,f111,f133,f123,f134,f124,f128,f118,f386,f178,f220,f176,f132,f122,f116,f109,f112,f196,f105,f107,f108,f117,f104,f110,f106]) ).
fof(f422,plain,
( spl16_2
| spl16_3 ),
inference(avatar_contradiction_clause,[],[f421]) ).
fof(f421,plain,
( $false
| spl16_2
| spl16_3 ),
inference(global_subsumption,[],[f114,f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f206,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f115,f375,f113,f111,f133,f123,f134,f124,f128,f118,f386,f178,f220,f176,f132,f122,f116,f109,f112,f106,f196,f105,f107,f108,f117,f104,f110]) ).
fof(f420,plain,
( spl16_2
| spl16_3 ),
inference(avatar_contradiction_clause,[],[f419]) ).
fof(f419,plain,
( $false
| spl16_2
| spl16_3 ),
inference(global_subsumption,[],[f114,f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f206,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f115,f375,f113,f111,f133,f123,f134,f124,f128,f118,f386,f178,f220,f176,f132,f122,f116,f109,f112,f106,f110,f196,f105,f107,f108,f117,f104]) ).
fof(f418,plain,
( spl16_2
| spl16_3 ),
inference(avatar_contradiction_clause,[],[f417]) ).
fof(f417,plain,
( $false
| spl16_2
| spl16_3 ),
inference(global_subsumption,[],[f114,f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f206,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f115,f375,f113,f111,f133,f123,f134,f124,f128,f118,f386,f178,f220,f176,f132,f122,f116,f109,f112,f106,f110,f104,f196,f105,f107,f108,f117]) ).
fof(f416,plain,
( spl16_2
| spl16_3 ),
inference(avatar_contradiction_clause,[],[f415]) ).
fof(f415,plain,
( $false
| spl16_2
| spl16_3 ),
inference(global_subsumption,[],[f114,f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f206,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f115,f375,f113,f111,f133,f123,f134,f124,f128,f118,f386,f178,f220,f176,f132,f122,f116,f109,f112,f106,f110,f104,f117,f196,f105,f107,f108]) ).
fof(f414,plain,
( spl16_2
| spl16_3 ),
inference(avatar_contradiction_clause,[],[f413]) ).
fof(f413,plain,
( $false
| spl16_2
| spl16_3 ),
inference(global_subsumption,[],[f114,f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f206,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f115,f375,f113,f111,f133,f123,f134,f124,f128,f118,f386,f178,f220,f176,f132,f122,f116,f109,f112,f106,f110,f104,f117,f108,f196,f105,f107]) ).
fof(f412,plain,
( spl16_2
| spl16_3 ),
inference(avatar_contradiction_clause,[],[f411]) ).
fof(f411,plain,
( $false
| spl16_2
| spl16_3 ),
inference(global_subsumption,[],[f114,f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f206,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f115,f375,f113,f111,f133,f123,f134,f124,f128,f118,f386,f178,f220,f176,f132,f122,f116,f109,f112,f106,f110,f104,f117,f108,f107,f196,f105]) ).
fof(f410,plain,
( spl16_2
| spl16_3 ),
inference(avatar_contradiction_clause,[],[f409]) ).
fof(f409,plain,
( $false
| spl16_2
| spl16_3 ),
inference(global_subsumption,[],[f114,f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f206,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f115,f375,f113,f111,f133,f123,f134,f124,f128,f118,f386,f178,f220,f176,f132,f122,f116,f109,f112,f106,f110,f104,f117,f108,f107,f105,f196]) ).
fof(f408,plain,
( ~ spl16_1
| spl16_2
| spl16_3 ),
inference(avatar_contradiction_clause,[],[f407]) ).
fof(f407,plain,
( $false
| ~ spl16_1
| spl16_2
| spl16_3 ),
inference(global_subsumption,[],[f193,f114,f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f206,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f115,f375,f113,f111,f133,f123,f134,f124,f128,f118,f386,f178,f220,f176,f132,f122,f116,f109,f112,f106,f110,f104,f117,f108,f107,f105,f196]) ).
fof(f193,plain,
( sP6
| ~ spl16_1 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f191,plain,
( spl16_1
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_1])]) ).
fof(f406,plain,
( ~ spl16_1
| spl16_2
| spl16_4 ),
inference(avatar_contradiction_clause,[],[f405]) ).
fof(f405,plain,
( $false
| ~ spl16_1
| spl16_2
| spl16_4 ),
inference(global_subsumption,[],[f193,f114,f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f209,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f115,f374,f113,f376,f111,f377,f133,f380,f123,f381,f134,f382,f124,f383,f128,f384,f118,f385,f386,f178,f388,f220,f176,f390,f132,f391,f122,f392,f116,f393,f109,f394,f112,f395,f106,f396,f110,f397,f104,f398,f117,f399,f108,f400,f107,f401,f105,f402,f196]) ).
fof(f402,plain,
( sP3
| spl16_4 ),
inference(global_subsumption,[],[f114,f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f209,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f115,f374,f113,f376,f111,f377,f133,f380,f123,f381,f134,f382,f124,f383,f128,f384,f118,f385,f386,f178,f388,f220,f176,f390,f132,f391,f122,f392,f116,f393,f109,f394,f112,f395,f106,f396,f110,f397,f104,f398,f117,f399,f108,f400,f107,f401,f105]) ).
fof(f401,plain,
( sP4
| spl16_4 ),
inference(global_subsumption,[],[f105,f114,f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f209,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f115,f374,f113,f376,f111,f377,f133,f380,f123,f381,f134,f382,f124,f383,f128,f384,f118,f385,f386,f178,f388,f220,f176,f390,f132,f391,f122,f392,f116,f393,f109,f394,f112,f395,f106,f396,f110,f397,f104,f398,f117,f399,f108,f400,f107]) ).
fof(f400,plain,
( sP5
| spl16_4 ),
inference(global_subsumption,[],[f107,f105,f114,f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f209,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f115,f374,f113,f376,f111,f377,f133,f380,f123,f381,f134,f382,f124,f383,f128,f384,f118,f385,f386,f178,f388,f220,f176,f390,f132,f391,f122,f392,f116,f393,f109,f394,f112,f395,f106,f396,f110,f397,f104,f398,f117,f399,f108]) ).
fof(f399,plain,
( ~ aElementOf0(sK10,xS)
| spl16_4 ),
inference(global_subsumption,[],[f108,f107,f105,f114,f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f209,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f115,f374,f113,f376,f111,f377,f133,f380,f123,f381,f134,f382,f124,f383,f128,f384,f118,f385,f386,f178,f388,f220,f176,f390,f132,f391,f122,f392,f116,f393,f109,f394,f112,f395,f106,f396,f110,f397,f104,f398,f117]) ).
fof(f398,plain,
( aSet0(sdtpldt0(xS,xx))
| spl16_4 ),
inference(global_subsumption,[],[f108,f107,f105,f114,f117,f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f209,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f115,f374,f113,f376,f111,f377,f133,f380,f123,f381,f134,f382,f124,f383,f128,f384,f118,f385,f386,f178,f388,f220,f176,f390,f132,f391,f122,f392,f116,f393,f109,f394,f112,f395,f106,f396,f110,f397,f104]) ).
fof(f397,plain,
( ~ sP6
| spl16_4 ),
inference(global_subsumption,[],[f108,f107,f105,f104,f114,f117,f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f209,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f115,f374,f113,f376,f111,f377,f133,f380,f123,f381,f134,f382,f124,f383,f128,f384,f118,f385,f386,f178,f388,f220,f176,f390,f132,f391,f122,f392,f116,f393,f109,f394,f112,f395,f106,f396,f110]) ).
fof(f396,plain,
( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| spl16_4 ),
inference(global_subsumption,[],[f108,f107,f105,f104,f114,f110,f117,f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f209,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f115,f374,f113,f376,f111,f377,f133,f380,f123,f381,f134,f382,f124,f383,f128,f384,f118,f385,f386,f178,f388,f220,f176,f390,f132,f391,f122,f392,f116,f393,f109,f394,f112,f395,f106]) ).
fof(f395,plain,
( ~ sP6
| spl16_4 ),
inference(global_subsumption,[],[f108,f107,f106,f105,f104,f114,f110,f117,f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f209,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f115,f374,f113,f376,f111,f377,f133,f380,f123,f381,f134,f382,f124,f383,f128,f384,f118,f385,f386,f178,f388,f220,f176,f390,f132,f391,f122,f392,f116,f393,f109,f394,f112]) ).
fof(f394,plain,
( ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
| spl16_4 ),
inference(global_subsumption,[],[f108,f107,f106,f105,f104,f114,f112,f110,f117,f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f209,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f115,f374,f113,f376,f111,f377,f133,f380,f123,f381,f134,f382,f124,f383,f128,f384,f118,f385,f386,f178,f388,f220,f176,f390,f132,f391,f122,f392,f116,f393,f109]) ).
fof(f393,plain,
( aElementOf0(sK10,sdtmndt0(sdtpldt0(xS,xx),xx))
| spl16_4 ),
inference(global_subsumption,[],[f109,f108,f107,f106,f105,f104,f114,f112,f110,f117,f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f209,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f115,f374,f113,f376,f111,f377,f133,f380,f123,f381,f134,f382,f124,f383,f128,f384,f118,f385,f386,f178,f388,f220,f176,f390,f132,f391,f122,f392,f116]) ).
fof(f392,plain,
( ! [X0] :
( aElement0(X0)
| ~ aElementOf0(X0,sdtpldt0(xS,xx)) )
| spl16_4 ),
inference(global_subsumption,[],[f109,f108,f107,f106,f105,f104,f114,f112,f110,f117,f116,f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f209,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f115,f374,f113,f376,f111,f377,f133,f380,f123,f381,f134,f382,f124,f383,f128,f384,f118,f385,f386,f178,f388,f220,f176,f390,f132,f391,f122]) ).
fof(f391,plain,
( ! [X0] :
( aElement0(X0)
| ~ aElementOf0(X0,sdtpldt0(xS,xx)) )
| spl16_4 ),
inference(global_subsumption,[],[f109,f108,f107,f106,f105,f104,f114,f112,f110,f117,f116,f121,f119,f177,f122,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f209,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f115,f374,f113,f376,f111,f377,f133,f380,f123,f381,f134,f382,f124,f383,f128,f384,f118,f385,f386,f178,f388,f220,f176,f390,f132]) ).
fof(f390,plain,
( ~ aElementOf0(xx,sdtmndt0(sdtpldt0(xS,xx),xx))
| spl16_4 ),
inference(global_subsumption,[],[f109,f108,f107,f106,f105,f104,f114,f112,f110,f117,f116,f121,f119,f177,f122,f127,f131,f129,f179,f132,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f209,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f115,f374,f113,f376,f111,f377,f133,f380,f123,f381,f134,f382,f124,f383,f128,f384,f118,f385,f386,f178,f388,f220,f176]) ).
fof(f388,plain,
( ~ aElementOf0(xx,sdtmndt0(sdtpldt0(xS,xx),xx))
| spl16_4 ),
inference(global_subsumption,[],[f109,f108,f107,f106,f105,f104,f114,f112,f110,f117,f116,f121,f176,f119,f177,f122,f127,f131,f129,f179,f132,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f209,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f115,f374,f113,f376,f111,f377,f133,f380,f123,f381,f134,f382,f124,f383,f128,f384,f118,f385,f386,f178]) ).
fof(f385,plain,
( ! [X0] :
( aElement0(X0)
| ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
| spl16_4 ),
inference(global_subsumption,[],[f109,f108,f107,f106,f105,f104,f114,f112,f110,f117,f116,f121,f176,f119,f177,f122,f127,f131,f178,f129,f179,f132,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f209,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f115,f374,f113,f376,f111,f377,f133,f380,f123,f381,f134,f382,f124,f383,f128,f384,f118]) ).
fof(f384,plain,
( ! [X0] :
( aElement0(X0)
| ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
| spl16_4 ),
inference(global_subsumption,[],[f109,f108,f107,f106,f105,f104,f114,f112,f110,f117,f116,f121,f176,f119,f118,f177,f122,f127,f131,f178,f129,f179,f132,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f209,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f115,f374,f113,f376,f111,f377,f133,f380,f123,f381,f134,f382,f124,f383,f128]) ).
fof(f383,plain,
( ! [X0] :
( aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aElementOf0(X0,xS)
| ~ aElement0(X0) )
| spl16_4 ),
inference(global_subsumption,[],[f109,f108,f107,f106,f105,f104,f114,f112,f110,f117,f116,f121,f176,f119,f118,f177,f122,f127,f131,f178,f129,f128,f179,f132,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f209,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f115,f374,f113,f376,f111,f377,f133,f380,f123,f381,f134,f382,f124]) ).
fof(f382,plain,
( ! [X0] :
( aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aElementOf0(X0,xS)
| ~ aElement0(X0) )
| spl16_4 ),
inference(global_subsumption,[],[f109,f108,f107,f106,f105,f104,f114,f112,f110,f117,f116,f121,f176,f119,f118,f177,f124,f122,f127,f131,f178,f129,f128,f179,f132,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f209,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f115,f374,f113,f376,f111,f377,f133,f380,f123,f381,f134]) ).
fof(f381,plain,
( ! [X0] :
( xx = X0
| aElementOf0(X0,xS)
| ~ aElementOf0(X0,sdtpldt0(xS,xx)) )
| spl16_4 ),
inference(global_subsumption,[],[f109,f108,f107,f106,f105,f104,f114,f112,f110,f117,f116,f121,f176,f119,f118,f177,f124,f122,f127,f131,f178,f129,f128,f179,f134,f132,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f209,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f115,f374,f113,f376,f111,f377,f133,f380,f123]) ).
fof(f380,plain,
( ! [X0] :
( xx = X0
| aElementOf0(X0,xS)
| ~ aElementOf0(X0,sdtpldt0(xS,xx)) )
| spl16_4 ),
inference(global_subsumption,[],[f109,f108,f107,f106,f105,f104,f114,f112,f110,f117,f116,f121,f176,f119,f118,f177,f124,f123,f122,f127,f131,f178,f129,f128,f179,f134,f132,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f209,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f115,f374,f113,f376,f111,f377,f133]) ).
fof(f377,plain,
( ~ sP6
| spl16_4 ),
inference(global_subsumption,[],[f109,f108,f107,f106,f105,f104,f114,f112,f110,f117,f116,f121,f176,f119,f118,f177,f124,f123,f122,f127,f131,f178,f129,f128,f179,f134,f133,f132,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f209,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f115,f374,f113,f376,f111]) ).
fof(f376,plain,
( ~ sP6
| spl16_4 ),
inference(global_subsumption,[],[f109,f108,f107,f106,f105,f104,f114,f112,f111,f110,f117,f116,f121,f176,f119,f118,f177,f124,f123,f122,f127,f131,f178,f129,f128,f179,f134,f133,f132,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f209,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f115,f374,f113]) ).
fof(f374,plain,
( ~ sP6
| spl16_4 ),
inference(global_subsumption,[],[f109,f108,f107,f106,f105,f104,f114,f113,f112,f111,f110,f117,f116,f121,f176,f119,f118,f177,f124,f123,f122,f127,f131,f178,f129,f128,f179,f134,f133,f132,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f209,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f115]) ).
fof(f209,plain,
( ~ aElementOf0(sK11,xS)
| spl16_4 ),
inference(avatar_component_clause,[],[f208]) ).
fof(f404,plain,
( spl16_2
| spl16_4 ),
inference(avatar_contradiction_clause,[],[f403]) ).
fof(f403,plain,
( $false
| spl16_2
| spl16_4 ),
inference(global_subsumption,[],[f114,f121,f119,f177,f127,f131,f129,f179,f159,f158,f188,f157,f156,f155,f162,f170,f189,f169,f168,f167,f164,f173,f174,f175,f136,f138,f139,f181,f137,f180,f126,f209,f141,f142,f182,f184,f187,f151,f227,f152,f163,f185,f153,f183,f241,f243,f186,f246,f145,f242,f245,f143,f312,f311,f146,f338,f342,f344,f339,f147,f337,f165,f353,f115,f374,f113,f376,f111,f377,f133,f380,f123,f381,f134,f382,f124,f383,f128,f384,f118,f385,f386,f178,f388,f220,f176,f390,f132,f391,f122,f392,f116,f393,f109,f394,f112,f395,f106,f396,f110,f397,f104,f398,f117,f399,f108,f400,f107,f401,f105,f402,f196]) ).
fof(f373,plain,
~ spl16_2,
inference(avatar_contradiction_clause,[],[f372]) ).
fof(f372,plain,
( $false
| ~ spl16_2 ),
inference(subsumption_resolution,[],[f370,f219]) ).
fof(f219,plain,
( ~ aElementOf0(xx,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ spl16_2 ),
inference(subsumption_resolution,[],[f176,f200]) ).
fof(f200,plain,
( sP4
| ~ spl16_2 ),
inference(subsumption_resolution,[],[f107,f197]) ).
fof(f197,plain,
( sP7
| ~ spl16_2 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f370,plain,
( aElementOf0(xx,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ spl16_2 ),
inference(superposition,[],[f215,f365]) ).
fof(f365,plain,
( xx = sK10
| ~ spl16_2 ),
inference(subsumption_resolution,[],[f360,f202]) ).
fof(f202,plain,
( ~ aElementOf0(sK10,xS)
| ~ spl16_2 ),
inference(subsumption_resolution,[],[f117,f201]) ).
fof(f201,plain,
( sP5
| ~ spl16_2 ),
inference(subsumption_resolution,[],[f108,f197]) ).
fof(f360,plain,
( aElementOf0(sK10,xS)
| xx = sK10
| ~ spl16_2 ),
inference(resolution,[],[f355,f261]) ).
fof(f261,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtpldt0(xS,xx))
| aElementOf0(X0,xS)
| xx = X0 )
| ~ spl16_2 ),
inference(subsumption_resolution,[],[f123,f199]) ).
fof(f199,plain,
( sP3
| ~ spl16_2 ),
inference(subsumption_resolution,[],[f105,f197]) ).
fof(f355,plain,
( aElementOf0(sK10,sdtpldt0(xS,xx))
| ~ spl16_2 ),
inference(resolution,[],[f354,f215]) ).
fof(f354,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(X0,sdtpldt0(xS,xx)) )
| ~ spl16_2 ),
inference(subsumption_resolution,[],[f352,f238]) ).
fof(f238,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElement0(X0) )
| ~ spl16_2 ),
inference(subsumption_resolution,[],[f118,f200]) ).
fof(f352,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElement0(X0)
| aElementOf0(X0,sdtpldt0(xS,xx)) )
| ~ spl16_2 ),
inference(resolution,[],[f165,f321]) ).
fof(f321,plain,
( sP9(xx,sdtmndt0(sdtpldt0(xS,xx),xx),sdtpldt0(xS,xx))
| ~ spl16_2 ),
inference(subsumption_resolution,[],[f320,f213]) ).
fof(f213,plain,
( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ spl16_2 ),
inference(subsumption_resolution,[],[f106,f197]) ).
fof(f320,plain,
( sP9(xx,sdtmndt0(sdtpldt0(xS,xx),xx),sdtpldt0(xS,xx))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ spl16_2 ),
inference(subsumption_resolution,[],[f318,f138]) ).
fof(f318,plain,
( sP9(xx,sdtmndt0(sdtpldt0(xS,xx),xx),sdtpldt0(xS,xx))
| ~ aElement0(xx)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ spl16_2 ),
inference(superposition,[],[f186,f314]) ).
fof(f314,plain,
( sdtpldt0(xS,xx) = sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),xx)
| ~ spl16_2 ),
inference(subsumption_resolution,[],[f308,f212]) ).
fof(f212,plain,
( aSet0(sdtpldt0(xS,xx))
| ~ spl16_2 ),
inference(subsumption_resolution,[],[f104,f197]) ).
fof(f308,plain,
( sdtpldt0(xS,xx) = sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),xx)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ spl16_2 ),
inference(resolution,[],[f143,f221]) ).
fof(f221,plain,
( aElementOf0(xx,sdtpldt0(xS,xx))
| ~ spl16_2 ),
inference(subsumption_resolution,[],[f220,f199]) ).
fof(f215,plain,
( aElementOf0(sK10,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ spl16_2 ),
inference(subsumption_resolution,[],[f116,f201]) ).
fof(f299,plain,
~ spl16_6,
inference(avatar_contradiction_clause,[],[f298]) ).
fof(f298,plain,
( $false
| ~ spl16_6 ),
inference(subsumption_resolution,[],[f297,f138]) ).
fof(f297,plain,
( ~ aElement0(xx)
| ~ spl16_6 ),
inference(subsumption_resolution,[],[f296,f139]) ).
fof(f296,plain,
( ~ aSet0(xS)
| ~ aElement0(xx)
| ~ spl16_6 ),
inference(subsumption_resolution,[],[f290,f180]) ).
fof(f290,plain,
( aElementOf0(xx,slcrc0)
| ~ aSet0(xS)
| ~ aElement0(xx)
| ~ spl16_6 ),
inference(superposition,[],[f246,f236]) ).
fof(f236,plain,
( slcrc0 = sdtpldt0(xS,xx)
| ~ spl16_6 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f294,plain,
( ~ spl16_2
| ~ spl16_6 ),
inference(avatar_contradiction_clause,[],[f293]) ).
fof(f293,plain,
( $false
| ~ spl16_2
| ~ spl16_6 ),
inference(subsumption_resolution,[],[f284,f180]) ).
fof(f284,plain,
( aElementOf0(xx,slcrc0)
| ~ spl16_2
| ~ spl16_6 ),
inference(superposition,[],[f221,f236]) ).
fof(f276,plain,
( spl16_7
| spl16_8
| ~ spl16_2
| spl16_6 ),
inference(avatar_split_clause,[],[f267,f234,f195,f273,f269]) ).
fof(f267,plain,
( aElementOf0(sK13(sdtpldt0(xS,xx)),xS)
| xx = sK13(sdtpldt0(xS,xx))
| ~ spl16_2
| spl16_6 ),
inference(subsumption_resolution,[],[f266,f212]) ).
fof(f266,plain,
( aElementOf0(sK13(sdtpldt0(xS,xx)),xS)
| xx = sK13(sdtpldt0(xS,xx))
| ~ aSet0(sdtpldt0(xS,xx))
| ~ spl16_2
| spl16_6 ),
inference(subsumption_resolution,[],[f265,f235]) ).
fof(f265,plain,
( aElementOf0(sK13(sdtpldt0(xS,xx)),xS)
| xx = sK13(sdtpldt0(xS,xx))
| slcrc0 = sdtpldt0(xS,xx)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ spl16_2 ),
inference(resolution,[],[f261,f151]) ).
fof(f237,plain,
( spl16_5
| spl16_6
| ~ spl16_2 ),
inference(avatar_split_clause,[],[f228,f195,f234,f230]) ).
fof(f228,plain,
( slcrc0 = sdtpldt0(xS,xx)
| aElement0(sK13(sdtpldt0(xS,xx)))
| ~ spl16_2 ),
inference(subsumption_resolution,[],[f226,f212]) ).
fof(f226,plain,
( slcrc0 = sdtpldt0(xS,xx)
| ~ aSet0(sdtpldt0(xS,xx))
| aElement0(sK13(sdtpldt0(xS,xx)))
| ~ spl16_2 ),
inference(resolution,[],[f151,f218]) ).
fof(f218,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtpldt0(xS,xx))
| aElement0(X0) )
| ~ spl16_2 ),
inference(subsumption_resolution,[],[f122,f199]) ).
fof(f211,plain,
( ~ spl16_3
| spl16_4 ),
inference(avatar_split_clause,[],[f126,f208,f204]) ).
fof(f198,plain,
( spl16_1
| spl16_2 ),
inference(avatar_split_clause,[],[f136,f195,f191]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM537+2 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri May 3 14:28:08 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (1986)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (1989)WARNING: value z3 for option sas not known
% 0.13/0.37 % (1990)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (1987)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 % (1992)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)
% 0.13/0.37 % (1991)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)
% 0.13/0.37 % (1993)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)
% 0.13/0.37 % (1989)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)
% 0.13/0.37 % (1988)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.38 TRYING [3]
% 0.13/0.38 TRYING [4]
% 0.13/0.39 TRYING [1]
% 0.13/0.39 TRYING [2]
% 0.13/0.39 TRYING [3]
% 0.13/0.41 TRYING [4]
% 0.13/0.41 TRYING [5]
% 0.13/0.42 % (1989)First to succeed.
% 0.20/0.43 % (1989)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1986"
% 0.20/0.43 % (1989)Refutation found. Thanks to Tanya!
% 0.20/0.43 % SZS status Theorem for theBenchmark
% 0.20/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.44 % (1989)------------------------------
% 0.20/0.44 % (1989)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.44 % (1989)Termination reason: Refutation
% 0.20/0.44
% 0.20/0.44 % (1989)Memory used [KB]: 1601
% 0.20/0.44 % (1989)Time elapsed: 0.068 s
% 0.20/0.44 % (1989)Instructions burned: 118 (million)
% 0.20/0.44 % (1986)Success in time 0.079 s
%------------------------------------------------------------------------------