TSTP Solution File: NUM538+2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM538+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 : n028.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 08:37:27 EDT 2024
% Result : Theorem 0.13s 0.40s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 167
% Syntax : Number of formulae : 551 ( 90 unt; 0 def)
% Number of atoms : 2052 ( 253 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 2527 (1026 ~;1109 |; 183 &)
% ( 154 <=>; 55 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 132 ( 130 usr; 122 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 5 con; 0-3 aty)
% Number of variables : 712 ( 691 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1263,plain,
$false,
inference(avatar_sat_refutation,[],[f237,f242,f246,f250,f255,f260,f265,f270,f275,f280,f285,f290,f295,f299,f303,f311,f315,f319,f323,f327,f331,f336,f344,f349,f353,f357,f361,f365,f369,f373,f377,f389,f393,f397,f401,f407,f417,f421,f425,f429,f433,f437,f451,f455,f459,f463,f467,f476,f481,f485,f489,f502,f509,f513,f524,f528,f532,f536,f572,f576,f580,f584,f604,f608,f612,f616,f647,f652,f656,f660,f664,f668,f672,f676,f680,f726,f753,f781,f786,f797,f814,f847,f873,f878,f884,f888,f893,f898,f906,f914,f926,f930,f939,f955,f978,f1003,f1017,f1021,f1036,f1042,f1046,f1083,f1099,f1103,f1125,f1129,f1144,f1153,f1162,f1167,f1173,f1177,f1182,f1190,f1194,f1218,f1237,f1256,f1261,f1262]) ).
fof(f1262,plain,
( spl7_5
| ~ spl7_95
| ~ spl7_108 ),
inference(avatar_split_clause,[],[f1145,f1141,f936,f252]) ).
fof(f252,plain,
( spl7_5
<=> szszuzczcdt0(sbrdtbr0(sdtmndt0(xS,xx))) = sbrdtbr0(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_5])]) ).
fof(f936,plain,
( spl7_95
<=> szszuzczcdt0(sbrdtbr0(sdtmndt0(xS,xx))) = sbrdtbr0(sdtpldt0(sdtmndt0(xS,xx),xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_95])]) ).
fof(f1141,plain,
( spl7_108
<=> xS = sdtpldt0(sdtmndt0(xS,xx),xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_108])]) ).
fof(f1145,plain,
( szszuzczcdt0(sbrdtbr0(sdtmndt0(xS,xx))) = sbrdtbr0(xS)
| ~ spl7_95
| ~ spl7_108 ),
inference(superposition,[],[f938,f1143]) ).
fof(f1143,plain,
( xS = sdtpldt0(sdtmndt0(xS,xx),xx)
| ~ spl7_108 ),
inference(avatar_component_clause,[],[f1141]) ).
fof(f938,plain,
( szszuzczcdt0(sbrdtbr0(sdtmndt0(xS,xx))) = sbrdtbr0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ spl7_95 ),
inference(avatar_component_clause,[],[f936]) ).
fof(f1261,plain,
( spl7_121
| ~ spl7_14
| ~ spl7_77 ),
inference(avatar_split_clause,[],[f729,f724,f297,f1259]) ).
fof(f1259,plain,
( spl7_121
<=> ! [X0,X1] :
( aElementOf0(sK6(X0,X1,slcrc0),X1)
| sP1(X0,X1,slcrc0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_121])]) ).
fof(f297,plain,
( spl7_14
<=> ! [X2] : ~ aElementOf0(X2,slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_14])]) ).
fof(f724,plain,
( spl7_77
<=> ! [X2,X0,X1] :
( sP1(X0,X1,X2)
| aElementOf0(sK6(X0,X1,X2),X1)
| aElementOf0(sK6(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_77])]) ).
fof(f729,plain,
( ! [X0,X1] :
( aElementOf0(sK6(X0,X1,slcrc0),X1)
| sP1(X0,X1,slcrc0) )
| ~ spl7_14
| ~ spl7_77 ),
inference(resolution,[],[f725,f298]) ).
fof(f298,plain,
( ! [X2] : ~ aElementOf0(X2,slcrc0)
| ~ spl7_14 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f725,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK6(X0,X1,X2),X2)
| aElementOf0(sK6(X0,X1,X2),X1)
| sP1(X0,X1,X2) )
| ~ spl7_77 ),
inference(avatar_component_clause,[],[f724]) ).
fof(f1256,plain,
( spl7_120
| ~ spl7_20
| ~ spl7_47 ),
inference(avatar_split_clause,[],[f492,f465,f325,f1254]) ).
fof(f1254,plain,
( spl7_120
<=> ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,sK3(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_120])]) ).
fof(f325,plain,
( spl7_20
<=> ! [X0] :
( sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_20])]) ).
fof(f465,plain,
( spl7_47
<=> ! [X0] :
( aElementOf0(sK3(X0),szNzAzT0)
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_47])]) ).
fof(f492,plain,
( ! [X0] :
( sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,sK3(X0)) )
| ~ spl7_20
| ~ spl7_47 ),
inference(resolution,[],[f466,f326]) ).
fof(f326,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,X0) )
| ~ spl7_20 ),
inference(avatar_component_clause,[],[f325]) ).
fof(f466,plain,
( ! [X0] :
( aElementOf0(sK3(X0),szNzAzT0)
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl7_47 ),
inference(avatar_component_clause,[],[f465]) ).
fof(f1237,plain,
( spl7_119
| ~ spl7_9
| spl7_111
| ~ spl7_19
| ~ spl7_39 ),
inference(avatar_split_clause,[],[f446,f423,f321,f1159,f272,f1234]) ).
fof(f1234,plain,
( spl7_119
<=> sdtlseqdt0(sK4(szNzAzT0),sK4(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_119])]) ).
fof(f272,plain,
( spl7_9
<=> aSet0(szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_9])]) ).
fof(f1159,plain,
( spl7_111
<=> slcrc0 = szNzAzT0 ),
introduced(avatar_definition,[new_symbols(naming,[spl7_111])]) ).
fof(f321,plain,
( spl7_19
<=> ! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_19])]) ).
fof(f423,plain,
( spl7_39
<=> ! [X0] :
( slcrc0 = X0
| aElementOf0(sK4(X0),X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_39])]) ).
fof(f446,plain,
( slcrc0 = szNzAzT0
| ~ aSet0(szNzAzT0)
| sdtlseqdt0(sK4(szNzAzT0),sK4(szNzAzT0))
| ~ spl7_19
| ~ spl7_39 ),
inference(resolution,[],[f424,f322]) ).
fof(f322,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,X0) )
| ~ spl7_19 ),
inference(avatar_component_clause,[],[f321]) ).
fof(f424,plain,
( ! [X0] :
( aElementOf0(sK4(X0),X0)
| slcrc0 = X0
| ~ aSet0(X0) )
| ~ spl7_39 ),
inference(avatar_component_clause,[],[f423]) ).
fof(f1218,plain,
( spl7_118
| ~ spl7_15
| ~ spl7_81 ),
inference(avatar_split_clause,[],[f804,f795,f301,f1216]) ).
fof(f1216,plain,
( spl7_118
<=> ! [X0,X1] :
( ~ aElementOf0(sK5(X0,X1,sdtmndt0(xS,xx)),X1)
| ~ aElement0(sK5(X0,X1,sdtmndt0(xS,xx)))
| sP0(X0,X1,sdtmndt0(xS,xx))
| xx = sK5(X0,X1,sdtmndt0(xS,xx))
| ~ aElementOf0(sK5(X0,X1,sdtmndt0(xS,xx)),xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_118])]) ).
fof(f301,plain,
( spl7_15
<=> ! [X0] :
( aElementOf0(X0,sdtmndt0(xS,xx))
| xx = X0
| ~ aElementOf0(X0,xS)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_15])]) ).
fof(f795,plain,
( spl7_81
<=> ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| ~ aElementOf0(sK5(X0,X1,X2),X1)
| ~ aElement0(sK5(X0,X1,X2))
| ~ aElementOf0(sK5(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_81])]) ).
fof(f804,plain,
( ! [X0,X1] :
( ~ aElementOf0(sK5(X0,X1,sdtmndt0(xS,xx)),X1)
| ~ aElement0(sK5(X0,X1,sdtmndt0(xS,xx)))
| sP0(X0,X1,sdtmndt0(xS,xx))
| xx = sK5(X0,X1,sdtmndt0(xS,xx))
| ~ aElementOf0(sK5(X0,X1,sdtmndt0(xS,xx)),xS) )
| ~ spl7_15
| ~ spl7_81 ),
inference(duplicate_literal_removal,[],[f799]) ).
fof(f799,plain,
( ! [X0,X1] :
( ~ aElementOf0(sK5(X0,X1,sdtmndt0(xS,xx)),X1)
| ~ aElement0(sK5(X0,X1,sdtmndt0(xS,xx)))
| sP0(X0,X1,sdtmndt0(xS,xx))
| xx = sK5(X0,X1,sdtmndt0(xS,xx))
| ~ aElementOf0(sK5(X0,X1,sdtmndt0(xS,xx)),xS)
| ~ aElement0(sK5(X0,X1,sdtmndt0(xS,xx))) )
| ~ spl7_15
| ~ spl7_81 ),
inference(resolution,[],[f796,f302]) ).
fof(f302,plain,
( ! [X0] :
( aElementOf0(X0,sdtmndt0(xS,xx))
| xx = X0
| ~ aElementOf0(X0,xS)
| ~ aElement0(X0) )
| ~ spl7_15 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f796,plain,
( ! [X2,X0,X1] :
( ~ aElementOf0(sK5(X0,X1,X2),X2)
| ~ aElementOf0(sK5(X0,X1,X2),X1)
| ~ aElement0(sK5(X0,X1,X2))
| sP0(X0,X1,X2) )
| ~ spl7_81 ),
inference(avatar_component_clause,[],[f795]) ).
fof(f1194,plain,
( spl7_117
| ~ spl7_14
| ~ spl7_72 ),
inference(avatar_split_clause,[],[f700,f662,f297,f1192]) ).
fof(f1192,plain,
( spl7_117
<=> ! [X0,X1] :
( aElement0(sK6(X0,X1,slcrc0))
| sP1(X0,X1,slcrc0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_117])]) ).
fof(f662,plain,
( spl7_72
<=> ! [X2,X0,X1] :
( sP1(X0,X1,X2)
| aElement0(sK6(X0,X1,X2))
| aElementOf0(sK6(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_72])]) ).
fof(f700,plain,
( ! [X0,X1] :
( aElement0(sK6(X0,X1,slcrc0))
| sP1(X0,X1,slcrc0) )
| ~ spl7_14
| ~ spl7_72 ),
inference(resolution,[],[f663,f298]) ).
fof(f663,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK6(X0,X1,X2),X2)
| aElement0(sK6(X0,X1,X2))
| sP1(X0,X1,X2) )
| ~ spl7_72 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f1190,plain,
( spl7_116
| ~ spl7_14
| ~ spl7_68 ),
inference(avatar_split_clause,[],[f683,f645,f297,f1188]) ).
fof(f1188,plain,
( spl7_116
<=> ! [X0,X1] :
( aElement0(sK5(X0,X1,slcrc0))
| sP0(X0,X1,slcrc0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_116])]) ).
fof(f645,plain,
( spl7_68
<=> ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| aElement0(sK5(X0,X1,X2))
| aElementOf0(sK5(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_68])]) ).
fof(f683,plain,
( ! [X0,X1] :
( aElement0(sK5(X0,X1,slcrc0))
| sP0(X0,X1,slcrc0) )
| ~ spl7_14
| ~ spl7_68 ),
inference(resolution,[],[f646,f298]) ).
fof(f646,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK5(X0,X1,X2),X2)
| aElement0(sK5(X0,X1,X2))
| sP0(X0,X1,X2) )
| ~ spl7_68 ),
inference(avatar_component_clause,[],[f645]) ).
fof(f1182,plain,
( ~ spl7_9
| spl7_115
| ~ spl7_13
| ~ spl7_56 ),
inference(avatar_split_clause,[],[f538,f522,f292,f1179,f272]) ).
fof(f1179,plain,
( spl7_115
<=> szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sz00),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_115])]) ).
fof(f292,plain,
( spl7_13
<=> aElementOf0(sz00,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_13])]) ).
fof(f522,plain,
( spl7_56
<=> ! [X0,X1] :
( sdtpldt0(sdtmndt0(X0,X1),X1) = X0
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_56])]) ).
fof(f538,plain,
( szNzAzT0 = sdtpldt0(sdtmndt0(szNzAzT0,sz00),sz00)
| ~ aSet0(szNzAzT0)
| ~ spl7_13
| ~ spl7_56 ),
inference(resolution,[],[f523,f294]) ).
fof(f294,plain,
( aElementOf0(sz00,szNzAzT0)
| ~ spl7_13 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f523,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,X0)
| sdtpldt0(sdtmndt0(X0,X1),X1) = X0
| ~ aSet0(X0) )
| ~ spl7_56 ),
inference(avatar_component_clause,[],[f522]) ).
fof(f1177,plain,
( spl7_114
| ~ spl7_31
| ~ spl7_52 ),
inference(avatar_split_clause,[],[f505,f487,f375,f1175]) ).
fof(f1175,plain,
( spl7_114
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtmndt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_114])]) ).
fof(f375,plain,
( spl7_31
<=> ! [X2,X1,X4] :
( ~ aElementOf0(X4,X2)
| ~ sP1(X4,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_31])]) ).
fof(f487,plain,
( spl7_52
<=> ! [X0,X1] :
( sP1(X1,X0,sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_52])]) ).
fof(f505,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X0,sdtmndt0(X1,X0)) )
| ~ spl7_31
| ~ spl7_52 ),
inference(resolution,[],[f488,f376]) ).
fof(f376,plain,
( ! [X2,X1,X4] :
( ~ sP1(X4,X1,X2)
| ~ aElementOf0(X4,X2) )
| ~ spl7_31 ),
inference(avatar_component_clause,[],[f375]) ).
fof(f488,plain,
( ! [X0,X1] :
( sP1(X1,X0,sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) )
| ~ spl7_52 ),
inference(avatar_component_clause,[],[f487]) ).
fof(f1173,plain,
( spl7_113
| ~ spl7_42
| ~ spl7_51 ),
inference(avatar_split_clause,[],[f497,f483,f435,f1171]) ).
fof(f1171,plain,
( spl7_113
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| aElementOf0(X0,sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_113])]) ).
fof(f435,plain,
( spl7_42
<=> ! [X2,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElement0(X4)
| ~ sP0(X4,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_42])]) ).
fof(f483,plain,
( spl7_51
<=> ! [X0,X1] :
( sP0(X1,X0,sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_51])]) ).
fof(f497,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| aElementOf0(X0,sdtpldt0(X1,X0)) )
| ~ spl7_42
| ~ spl7_51 ),
inference(duplicate_literal_removal,[],[f495]) ).
fof(f495,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ aElement0(X0)
| aElementOf0(X0,sdtpldt0(X1,X0)) )
| ~ spl7_42
| ~ spl7_51 ),
inference(resolution,[],[f484,f436]) ).
fof(f436,plain,
( ! [X2,X1,X4] :
( ~ sP0(X4,X1,X2)
| ~ aElement0(X4)
| aElementOf0(X4,X2) )
| ~ spl7_42 ),
inference(avatar_component_clause,[],[f435]) ).
fof(f484,plain,
( ! [X0,X1] :
( sP0(X1,X0,sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) )
| ~ spl7_51 ),
inference(avatar_component_clause,[],[f483]) ).
fof(f1167,plain,
( ~ spl7_11
| ~ spl7_36
| spl7_112
| ~ spl7_51
| ~ spl7_80 ),
inference(avatar_split_clause,[],[f865,f783,f483,f1164,f404,f282]) ).
fof(f282,plain,
( spl7_11
<=> aSet0(slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_11])]) ).
fof(f404,plain,
( spl7_36
<=> aElement0(xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_36])]) ).
fof(f1164,plain,
( spl7_112
<=> sP0(xx,slcrc0,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_112])]) ).
fof(f783,plain,
( spl7_80
<=> xS = sdtpldt0(slcrc0,xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_80])]) ).
fof(f865,plain,
( sP0(xx,slcrc0,xS)
| ~ aElement0(xx)
| ~ aSet0(slcrc0)
| ~ spl7_51
| ~ spl7_80 ),
inference(superposition,[],[f484,f785]) ).
fof(f785,plain,
( xS = sdtpldt0(slcrc0,xx)
| ~ spl7_80 ),
inference(avatar_component_clause,[],[f783]) ).
fof(f1162,plain,
( spl7_110
| ~ spl7_9
| spl7_111
| ~ spl7_20
| ~ spl7_39 ),
inference(avatar_split_clause,[],[f445,f423,f325,f1159,f272,f1155]) ).
fof(f1155,plain,
( spl7_110
<=> sdtlseqdt0(sz00,sK4(szNzAzT0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_110])]) ).
fof(f445,plain,
( slcrc0 = szNzAzT0
| ~ aSet0(szNzAzT0)
| sdtlseqdt0(sz00,sK4(szNzAzT0))
| ~ spl7_20
| ~ spl7_39 ),
inference(resolution,[],[f424,f326]) ).
fof(f1153,plain,
( spl7_109
| ~ spl7_19
| ~ spl7_33 ),
inference(avatar_split_clause,[],[f410,f391,f321,f1151]) ).
fof(f1151,plain,
( spl7_109
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| sdtlseqdt0(sbrdtbr0(X0),sbrdtbr0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_109])]) ).
fof(f391,plain,
( spl7_33
<=> ! [X0] :
( aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_33])]) ).
fof(f410,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| sdtlseqdt0(sbrdtbr0(X0),sbrdtbr0(X0)) )
| ~ spl7_19
| ~ spl7_33 ),
inference(resolution,[],[f392,f322]) ).
fof(f392,plain,
( ! [X0] :
( aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl7_33 ),
inference(avatar_component_clause,[],[f391]) ).
fof(f1144,plain,
( ~ spl7_6
| spl7_108
| ~ spl7_12
| ~ spl7_56 ),
inference(avatar_split_clause,[],[f541,f522,f287,f1141,f257]) ).
fof(f257,plain,
( spl7_6
<=> aSet0(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_6])]) ).
fof(f287,plain,
( spl7_12
<=> aElementOf0(xx,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_12])]) ).
fof(f541,plain,
( xS = sdtpldt0(sdtmndt0(xS,xx),xx)
| ~ aSet0(xS)
| ~ spl7_12
| ~ spl7_56 ),
inference(resolution,[],[f523,f289]) ).
fof(f289,plain,
( aElementOf0(xx,xS)
| ~ spl7_12 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f1129,plain,
( spl7_107
| ~ spl7_23
| ~ spl7_39 ),
inference(avatar_split_clause,[],[f447,f423,f342,f1127]) ).
fof(f1127,plain,
( spl7_107
<=> ! [X0] :
( slcrc0 = X0
| ~ aSet0(X0)
| aElement0(sK4(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_107])]) ).
fof(f342,plain,
( spl7_23
<=> ! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_23])]) ).
fof(f447,plain,
( ! [X0] :
( slcrc0 = X0
| ~ aSet0(X0)
| aElement0(sK4(X0)) )
| ~ spl7_23
| ~ spl7_39 ),
inference(duplicate_literal_removal,[],[f441]) ).
fof(f441,plain,
( ! [X0] :
( slcrc0 = X0
| ~ aSet0(X0)
| aElement0(sK4(X0))
| ~ aSet0(X0) )
| ~ spl7_23
| ~ spl7_39 ),
inference(resolution,[],[f424,f343]) ).
fof(f343,plain,
( ! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) )
| ~ spl7_23 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f1125,plain,
( spl7_106
| ~ spl7_20
| ~ spl7_33 ),
inference(avatar_split_clause,[],[f409,f391,f325,f1123]) ).
fof(f1123,plain,
( spl7_106
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| sdtlseqdt0(sz00,sbrdtbr0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_106])]) ).
fof(f409,plain,
( ! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| sdtlseqdt0(sz00,sbrdtbr0(X0)) )
| ~ spl7_20
| ~ spl7_33 ),
inference(resolution,[],[f392,f326]) ).
fof(f1103,plain,
( ~ spl7_9
| spl7_105
| ~ spl7_23
| ~ spl7_29 ),
inference(avatar_split_clause,[],[f385,f367,f342,f1101,f272]) ).
fof(f1101,plain,
( spl7_105
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(szszuzczcdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_105])]) ).
fof(f367,plain,
( spl7_29
<=> ! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_29])]) ).
fof(f385,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(szszuzczcdt0(X0))
| ~ aSet0(szNzAzT0) )
| ~ spl7_23
| ~ spl7_29 ),
inference(resolution,[],[f368,f343]) ).
fof(f368,plain,
( ! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl7_29 ),
inference(avatar_component_clause,[],[f367]) ).
fof(f1099,plain,
( spl7_104
| ~ spl7_19
| ~ spl7_29 ),
inference(avatar_split_clause,[],[f384,f367,f321,f1097]) ).
fof(f1097,plain,
( spl7_104
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_104])]) ).
fof(f384,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X0)) )
| ~ spl7_19
| ~ spl7_29 ),
inference(resolution,[],[f368,f322]) ).
fof(f1083,plain,
( ~ spl7_1
| spl7_103
| ~ spl7_15
| ~ spl7_58 ),
inference(avatar_split_clause,[],[f561,f530,f301,f1081,f234]) ).
fof(f234,plain,
( spl7_1
<=> aSet0(sdtmndt0(xS,xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_1])]) ).
fof(f1081,plain,
( spl7_103
<=> ! [X0] :
( aSubsetOf0(X0,sdtmndt0(xS,xx))
| ~ aElement0(sK2(sdtmndt0(xS,xx),X0))
| ~ aElementOf0(sK2(sdtmndt0(xS,xx),X0),xS)
| xx = sK2(sdtmndt0(xS,xx),X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_103])]) ).
fof(f530,plain,
( spl7_58
<=> ! [X0,X1] :
( aSubsetOf0(X1,X0)
| ~ aElementOf0(sK2(X0,X1),X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_58])]) ).
fof(f561,plain,
( ! [X0] :
( aSubsetOf0(X0,sdtmndt0(xS,xx))
| ~ aSet0(X0)
| ~ aSet0(sdtmndt0(xS,xx))
| xx = sK2(sdtmndt0(xS,xx),X0)
| ~ aElementOf0(sK2(sdtmndt0(xS,xx),X0),xS)
| ~ aElement0(sK2(sdtmndt0(xS,xx),X0)) )
| ~ spl7_15
| ~ spl7_58 ),
inference(resolution,[],[f531,f302]) ).
fof(f531,plain,
( ! [X0,X1] :
( ~ aElementOf0(sK2(X0,X1),X0)
| aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ~ aSet0(X0) )
| ~ spl7_58 ),
inference(avatar_component_clause,[],[f530]) ).
fof(f1046,plain,
( spl7_102
| ~ spl7_4
| ~ spl7_82 ),
inference(avatar_split_clause,[],[f828,f812,f248,f1044]) ).
fof(f1044,plain,
( spl7_102
<=> ! [X0,X1] :
( aElementOf0(sK5(X0,sdtmndt0(xS,xx),X1),X1)
| sK5(X0,sdtmndt0(xS,xx),X1) = X0
| sP0(X0,sdtmndt0(xS,xx),X1)
| aElementOf0(sK5(X0,sdtmndt0(xS,xx),X1),xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_102])]) ).
fof(f248,plain,
( spl7_4
<=> ! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,sdtmndt0(xS,xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_4])]) ).
fof(f812,plain,
( spl7_82
<=> ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| sK5(X0,X1,X2) = X0
| aElementOf0(sK5(X0,X1,X2),X1)
| aElementOf0(sK5(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_82])]) ).
fof(f828,plain,
( ! [X0,X1] :
( aElementOf0(sK5(X0,sdtmndt0(xS,xx),X1),X1)
| sK5(X0,sdtmndt0(xS,xx),X1) = X0
| sP0(X0,sdtmndt0(xS,xx),X1)
| aElementOf0(sK5(X0,sdtmndt0(xS,xx),X1),xS) )
| ~ spl7_4
| ~ spl7_82 ),
inference(resolution,[],[f813,f249]) ).
fof(f249,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtmndt0(xS,xx))
| aElementOf0(X0,xS) )
| ~ spl7_4 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f813,plain,
( ! [X2,X0,X1] :
( aElementOf0(sK5(X0,X1,X2),X2)
| aElementOf0(sK5(X0,X1,X2),X1)
| sK5(X0,X1,X2) = X0
| sP0(X0,X1,X2) )
| ~ spl7_82 ),
inference(avatar_component_clause,[],[f812]) ).
fof(f1042,plain,
( spl7_101
| ~ spl7_4
| ~ spl7_82 ),
inference(avatar_split_clause,[],[f819,f812,f248,f1040]) ).
fof(f1040,plain,
( spl7_101
<=> ! [X0,X1] :
( aElementOf0(sK5(X0,X1,sdtmndt0(xS,xx)),X1)
| sK5(X0,X1,sdtmndt0(xS,xx)) = X0
| sP0(X0,X1,sdtmndt0(xS,xx))
| aElementOf0(sK5(X0,X1,sdtmndt0(xS,xx)),xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_101])]) ).
fof(f819,plain,
( ! [X0,X1] :
( aElementOf0(sK5(X0,X1,sdtmndt0(xS,xx)),X1)
| sK5(X0,X1,sdtmndt0(xS,xx)) = X0
| sP0(X0,X1,sdtmndt0(xS,xx))
| aElementOf0(sK5(X0,X1,sdtmndt0(xS,xx)),xS) )
| ~ spl7_4
| ~ spl7_82 ),
inference(resolution,[],[f813,f249]) ).
fof(f1036,plain,
( ~ spl7_6
| spl7_100
| ~ spl7_23
| ~ spl7_48 ),
inference(avatar_split_clause,[],[f880,f469,f342,f1033,f257]) ).
fof(f1033,plain,
( spl7_100
<=> aElement0(sK4(sdtmndt0(xS,xx))) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_100])]) ).
fof(f469,plain,
( spl7_48
<=> aElementOf0(sK4(sdtmndt0(xS,xx)),xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_48])]) ).
fof(f880,plain,
( aElement0(sK4(sdtmndt0(xS,xx)))
| ~ aSet0(xS)
| ~ spl7_23
| ~ spl7_48 ),
inference(resolution,[],[f471,f343]) ).
fof(f471,plain,
( aElementOf0(sK4(sdtmndt0(xS,xx)),xS)
| ~ spl7_48 ),
inference(avatar_component_clause,[],[f469]) ).
fof(f1021,plain,
( ~ spl7_11
| spl7_99
| ~ spl7_14
| ~ spl7_57 ),
inference(avatar_split_clause,[],[f550,f526,f297,f1019,f282]) ).
fof(f1019,plain,
( spl7_99
<=> ! [X0] :
( aSubsetOf0(slcrc0,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_99])]) ).
fof(f526,plain,
( spl7_57
<=> ! [X0,X1] :
( aSubsetOf0(X1,X0)
| aElementOf0(sK2(X0,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_57])]) ).
fof(f550,plain,
( ! [X0] :
( aSubsetOf0(slcrc0,X0)
| ~ aSet0(slcrc0)
| ~ aSet0(X0) )
| ~ spl7_14
| ~ spl7_57 ),
inference(resolution,[],[f527,f298]) ).
fof(f527,plain,
( ! [X0,X1] :
( aElementOf0(sK2(X0,X1),X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ~ aSet0(X0) )
| ~ spl7_57 ),
inference(avatar_component_clause,[],[f526]) ).
fof(f1017,plain,
( spl7_98
| ~ spl7_20
| ~ spl7_29 ),
inference(avatar_split_clause,[],[f383,f367,f325,f1015]) ).
fof(f1015,plain,
( spl7_98
<=> ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,szszuzczcdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_98])]) ).
fof(f383,plain,
( ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,szszuzczcdt0(X0)) )
| ~ spl7_20
| ~ spl7_29 ),
inference(resolution,[],[f368,f326]) ).
fof(f1003,plain,
( ~ spl7_1
| ~ spl7_94
| spl7_97
| ~ spl7_4
| ~ spl7_78 ),
inference(avatar_split_clause,[],[f759,f751,f248,f1001,f932,f234]) ).
fof(f932,plain,
( spl7_94
<=> isFinite0(sdtmndt0(xS,xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_94])]) ).
fof(f1001,plain,
( spl7_97
<=> ! [X0] :
( szszuzczcdt0(sbrdtbr0(sdtmndt0(xS,xx))) = sbrdtbr0(sdtpldt0(sdtmndt0(xS,xx),X0))
| aElementOf0(X0,xS)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_97])]) ).
fof(f751,plain,
( spl7_78
<=> ! [X0,X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| aElementOf0(X1,X0)
| ~ aElement0(X1)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_78])]) ).
fof(f759,plain,
( ! [X0] :
( szszuzczcdt0(sbrdtbr0(sdtmndt0(xS,xx))) = sbrdtbr0(sdtpldt0(sdtmndt0(xS,xx),X0))
| ~ aElement0(X0)
| ~ isFinite0(sdtmndt0(xS,xx))
| ~ aSet0(sdtmndt0(xS,xx))
| aElementOf0(X0,xS) )
| ~ spl7_4
| ~ spl7_78 ),
inference(resolution,[],[f752,f249]) ).
fof(f752,plain,
( ! [X0,X1] :
( aElementOf0(X1,X0)
| sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| ~ aElement0(X1)
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl7_78 ),
inference(avatar_component_clause,[],[f751]) ).
fof(f978,plain,
( ~ spl7_1
| spl7_96
| ~ spl7_15
| ~ spl7_56 ),
inference(avatar_split_clause,[],[f537,f522,f301,f976,f234]) ).
fof(f976,plain,
( spl7_96
<=> ! [X0] :
( sdtmndt0(xS,xx) = sdtpldt0(sdtmndt0(sdtmndt0(xS,xx),X0),X0)
| ~ aElement0(X0)
| ~ aElementOf0(X0,xS)
| xx = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_96])]) ).
fof(f537,plain,
( ! [X0] :
( sdtmndt0(xS,xx) = sdtpldt0(sdtmndt0(sdtmndt0(xS,xx),X0),X0)
| ~ aSet0(sdtmndt0(xS,xx))
| xx = X0
| ~ aElementOf0(X0,xS)
| ~ aElement0(X0) )
| ~ spl7_15
| ~ spl7_56 ),
inference(resolution,[],[f523,f302]) ).
fof(f955,plain,
( ~ spl7_36
| ~ spl7_6
| ~ spl7_7
| ~ spl7_46
| spl7_94 ),
inference(avatar_split_clause,[],[f940,f932,f461,f262,f257,f404]) ).
fof(f262,plain,
( spl7_7
<=> isFinite0(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_7])]) ).
fof(f461,plain,
( spl7_46
<=> ! [X0,X1] :
( isFinite0(sdtmndt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_46])]) ).
fof(f940,plain,
( ~ isFinite0(xS)
| ~ aSet0(xS)
| ~ aElement0(xx)
| ~ spl7_46
| spl7_94 ),
inference(resolution,[],[f934,f462]) ).
fof(f462,plain,
( ! [X0,X1] :
( isFinite0(sdtmndt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) )
| ~ spl7_46 ),
inference(avatar_component_clause,[],[f461]) ).
fof(f934,plain,
( ~ isFinite0(sdtmndt0(xS,xx))
| spl7_94 ),
inference(avatar_component_clause,[],[f932]) ).
fof(f939,plain,
( ~ spl7_1
| ~ spl7_94
| ~ spl7_36
| spl7_95
| spl7_2
| ~ spl7_78 ),
inference(avatar_split_clause,[],[f758,f751,f239,f936,f404,f932,f234]) ).
fof(f239,plain,
( spl7_2
<=> aElementOf0(xx,sdtmndt0(xS,xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_2])]) ).
fof(f758,plain,
( szszuzczcdt0(sbrdtbr0(sdtmndt0(xS,xx))) = sbrdtbr0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(xx)
| ~ isFinite0(sdtmndt0(xS,xx))
| ~ aSet0(sdtmndt0(xS,xx))
| spl7_2
| ~ spl7_78 ),
inference(resolution,[],[f752,f241]) ).
fof(f241,plain,
( ~ aElementOf0(xx,sdtmndt0(xS,xx))
| spl7_2 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f930,plain,
( spl7_93
| ~ spl7_4
| ~ spl7_77 ),
inference(avatar_split_clause,[],[f738,f724,f248,f928]) ).
fof(f928,plain,
( spl7_93
<=> ! [X0,X1] :
( aElementOf0(sK6(X0,sdtmndt0(xS,xx),X1),X1)
| sP1(X0,sdtmndt0(xS,xx),X1)
| aElementOf0(sK6(X0,sdtmndt0(xS,xx),X1),xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_93])]) ).
fof(f738,plain,
( ! [X0,X1] :
( aElementOf0(sK6(X0,sdtmndt0(xS,xx),X1),X1)
| sP1(X0,sdtmndt0(xS,xx),X1)
| aElementOf0(sK6(X0,sdtmndt0(xS,xx),X1),xS) )
| ~ spl7_4
| ~ spl7_77 ),
inference(resolution,[],[f725,f249]) ).
fof(f926,plain,
( spl7_92
| ~ spl7_4
| ~ spl7_77 ),
inference(avatar_split_clause,[],[f730,f724,f248,f924]) ).
fof(f924,plain,
( spl7_92
<=> ! [X0,X1] :
( aElementOf0(sK6(X0,X1,sdtmndt0(xS,xx)),X1)
| sP1(X0,X1,sdtmndt0(xS,xx))
| aElementOf0(sK6(X0,X1,sdtmndt0(xS,xx)),xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_92])]) ).
fof(f730,plain,
( ! [X0,X1] :
( aElementOf0(sK6(X0,X1,sdtmndt0(xS,xx)),X1)
| sP1(X0,X1,sdtmndt0(xS,xx))
| aElementOf0(sK6(X0,X1,sdtmndt0(xS,xx)),xS) )
| ~ spl7_4
| ~ spl7_77 ),
inference(resolution,[],[f725,f249]) ).
fof(f914,plain,
( ~ spl7_1
| spl7_91
| ~ spl7_4
| ~ spl7_64 ),
inference(avatar_split_clause,[],[f622,f602,f248,f912,f234]) ).
fof(f912,plain,
( spl7_91
<=> ! [X0] :
( sdtmndt0(xS,xx) = sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),X0),X0)
| aElementOf0(X0,xS)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_91])]) ).
fof(f602,plain,
( spl7_64
<=> ! [X0,X1] :
( sdtmndt0(sdtpldt0(X1,X0),X0) = X1
| aElementOf0(X0,X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_64])]) ).
fof(f622,plain,
( ! [X0] :
( sdtmndt0(xS,xx) = sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),X0),X0)
| ~ aSet0(sdtmndt0(xS,xx))
| ~ aElement0(X0)
| aElementOf0(X0,xS) )
| ~ spl7_4
| ~ spl7_64 ),
inference(resolution,[],[f603,f249]) ).
fof(f603,plain,
( ! [X0,X1] :
( aElementOf0(X0,X1)
| sdtmndt0(sdtpldt0(X1,X0),X0) = X1
| ~ aSet0(X1)
| ~ aElement0(X0) )
| ~ spl7_64 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f906,plain,
( ~ spl7_1
| spl7_90
| ~ spl7_4
| ~ spl7_57 ),
inference(avatar_split_clause,[],[f551,f526,f248,f904,f234]) ).
fof(f904,plain,
( spl7_90
<=> ! [X0] :
( aSubsetOf0(sdtmndt0(xS,xx),X0)
| aElementOf0(sK2(X0,sdtmndt0(xS,xx)),xS)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_90])]) ).
fof(f551,plain,
( ! [X0] :
( aSubsetOf0(sdtmndt0(xS,xx),X0)
| ~ aSet0(sdtmndt0(xS,xx))
| ~ aSet0(X0)
| aElementOf0(sK2(X0,sdtmndt0(xS,xx)),xS) )
| ~ spl7_4
| ~ spl7_57 ),
inference(resolution,[],[f527,f249]) ).
fof(f898,plain,
( ~ spl7_36
| ~ spl7_1
| spl7_89
| spl7_2
| ~ spl7_64 ),
inference(avatar_split_clause,[],[f621,f602,f239,f895,f234,f404]) ).
fof(f895,plain,
( spl7_89
<=> sdtmndt0(xS,xx) = sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_89])]) ).
fof(f621,plain,
( sdtmndt0(xS,xx) = sdtmndt0(sdtpldt0(sdtmndt0(xS,xx),xx),xx)
| ~ aSet0(sdtmndt0(xS,xx))
| ~ aElement0(xx)
| spl7_2
| ~ spl7_64 ),
inference(resolution,[],[f603,f241]) ).
fof(f893,plain,
( ~ spl7_9
| ~ spl7_88
| ~ spl7_10
| ~ spl7_21 ),
inference(avatar_split_clause,[],[f340,f329,f277,f890,f272]) ).
fof(f890,plain,
( spl7_88
<=> isFinite0(szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_88])]) ).
fof(f277,plain,
( spl7_10
<=> isCountable0(szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_10])]) ).
fof(f329,plain,
( spl7_21
<=> ! [X0] :
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_21])]) ).
fof(f340,plain,
( ~ isFinite0(szNzAzT0)
| ~ aSet0(szNzAzT0)
| ~ spl7_10
| ~ spl7_21 ),
inference(resolution,[],[f330,f279]) ).
fof(f279,plain,
( isCountable0(szNzAzT0)
| ~ spl7_10 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f330,plain,
( ! [X0] :
( ~ isCountable0(X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) )
| ~ spl7_21 ),
inference(avatar_component_clause,[],[f329]) ).
fof(f888,plain,
( spl7_87
| ~ spl7_3
| ~ spl7_72 ),
inference(avatar_split_clause,[],[f706,f662,f244,f886]) ).
fof(f886,plain,
( spl7_87
<=> ! [X0,X1] :
( aElement0(sK6(X0,X1,sdtmndt0(xS,xx)))
| sP1(X0,X1,sdtmndt0(xS,xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_87])]) ).
fof(f244,plain,
( spl7_3
<=> ! [X0] :
( aElement0(X0)
| ~ aElementOf0(X0,sdtmndt0(xS,xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_3])]) ).
fof(f706,plain,
( ! [X0,X1] :
( aElement0(sK6(X0,X1,sdtmndt0(xS,xx)))
| sP1(X0,X1,sdtmndt0(xS,xx)) )
| ~ spl7_3
| ~ spl7_72 ),
inference(duplicate_literal_removal,[],[f702]) ).
fof(f702,plain,
( ! [X0,X1] :
( aElement0(sK6(X0,X1,sdtmndt0(xS,xx)))
| sP1(X0,X1,sdtmndt0(xS,xx))
| aElement0(sK6(X0,X1,sdtmndt0(xS,xx))) )
| ~ spl7_3
| ~ spl7_72 ),
inference(resolution,[],[f663,f245]) ).
fof(f245,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtmndt0(xS,xx))
| aElement0(X0) )
| ~ spl7_3 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f884,plain,
( spl7_86
| ~ spl7_3
| ~ spl7_68 ),
inference(avatar_split_clause,[],[f689,f645,f244,f882]) ).
fof(f882,plain,
( spl7_86
<=> ! [X0,X1] :
( aElement0(sK5(X0,X1,sdtmndt0(xS,xx)))
| sP0(X0,X1,sdtmndt0(xS,xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_86])]) ).
fof(f689,plain,
( ! [X0,X1] :
( aElement0(sK5(X0,X1,sdtmndt0(xS,xx)))
| sP0(X0,X1,sdtmndt0(xS,xx)) )
| ~ spl7_3
| ~ spl7_68 ),
inference(duplicate_literal_removal,[],[f685]) ).
fof(f685,plain,
( ! [X0,X1] :
( aElement0(sK5(X0,X1,sdtmndt0(xS,xx)))
| sP0(X0,X1,sdtmndt0(xS,xx))
| aElement0(sK5(X0,X1,sdtmndt0(xS,xx))) )
| ~ spl7_3
| ~ spl7_68 ),
inference(resolution,[],[f646,f245]) ).
fof(f878,plain,
( ~ spl7_6
| ~ spl7_36
| spl7_85
| ~ spl7_49
| ~ spl7_52 ),
inference(avatar_split_clause,[],[f596,f487,f473,f875,f404,f257]) ).
fof(f875,plain,
( spl7_85
<=> sP1(xx,xS,slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_85])]) ).
fof(f473,plain,
( spl7_49
<=> slcrc0 = sdtmndt0(xS,xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_49])]) ).
fof(f596,plain,
( sP1(xx,xS,slcrc0)
| ~ aElement0(xx)
| ~ aSet0(xS)
| ~ spl7_49
| ~ spl7_52 ),
inference(superposition,[],[f488,f475]) ).
fof(f475,plain,
( slcrc0 = sdtmndt0(xS,xx)
| ~ spl7_49 ),
inference(avatar_component_clause,[],[f473]) ).
fof(f873,plain,
( ~ spl7_11
| spl7_84
| ~ spl7_17
| ~ spl7_22 ),
inference(avatar_split_clause,[],[f337,f333,f313,f870,f282]) ).
fof(f870,plain,
( spl7_84
<=> aElement0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_84])]) ).
fof(f313,plain,
( spl7_17
<=> ! [X0] :
( aElement0(sbrdtbr0(X0))
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_17])]) ).
fof(f333,plain,
( spl7_22
<=> sz00 = sbrdtbr0(slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_22])]) ).
fof(f337,plain,
( aElement0(sz00)
| ~ aSet0(slcrc0)
| ~ spl7_17
| ~ spl7_22 ),
inference(superposition,[],[f314,f335]) ).
fof(f335,plain,
( sz00 = sbrdtbr0(slcrc0)
| ~ spl7_22 ),
inference(avatar_component_clause,[],[f333]) ).
fof(f314,plain,
( ! [X0] :
( aElement0(sbrdtbr0(X0))
| ~ aSet0(X0) )
| ~ spl7_17 ),
inference(avatar_component_clause,[],[f313]) ).
fof(f847,plain,
spl7_83,
inference(avatar_split_clause,[],[f208,f845]) ).
fof(f845,plain,
( spl7_83
<=> ! [X2,X0,X1] :
( sP1(X0,X1,X2)
| sK6(X0,X1,X2) = X0
| ~ aElementOf0(sK6(X0,X1,X2),X1)
| ~ aElement0(sK6(X0,X1,X2))
| ~ aElementOf0(sK6(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_83])]) ).
fof(f208,plain,
! [X2,X0,X1] :
( sP1(X0,X1,X2)
| sK6(X0,X1,X2) = X0
| ~ aElementOf0(sK6(X0,X1,X2),X1)
| ~ aElement0(sK6(X0,X1,X2))
| ~ aElementOf0(sK6(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0,X1,X2] :
( ( sP1(X0,X1,X2)
| ( ( sK6(X0,X1,X2) = X0
| ~ aElementOf0(sK6(X0,X1,X2),X1)
| ~ aElement0(sK6(X0,X1,X2))
| ~ aElementOf0(sK6(X0,X1,X2),X2) )
& ( ( sK6(X0,X1,X2) != X0
& aElementOf0(sK6(X0,X1,X2),X1)
& aElement0(sK6(X0,X1,X2)) )
| aElementOf0(sK6(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) ) )
| ~ sP1(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f138,f139]) ).
fof(f139,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) ) )
=> ( ( sK6(X0,X1,X2) = X0
| ~ aElementOf0(sK6(X0,X1,X2),X1)
| ~ aElement0(sK6(X0,X1,X2))
| ~ aElementOf0(sK6(X0,X1,X2),X2) )
& ( ( sK6(X0,X1,X2) != X0
& aElementOf0(sK6(X0,X1,X2),X1)
& aElement0(sK6(X0,X1,X2)) )
| aElementOf0(sK6(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f138,plain,
! [X0,X1,X2] :
( ( sP1(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) ) )
| ~ sP1(X0,X1,X2) ) ),
inference(rectify,[],[f137]) ).
fof(f137,plain,
! [X1,X0,X2] :
( ( sP1(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) ) )
| ~ sP1(X1,X0,X2) ) ),
inference(flattening,[],[f136]) ).
fof(f136,plain,
! [X1,X0,X2] :
( ( sP1(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) ) )
| ~ sP1(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X1,X0,X2] :
( sP1(X1,X0,X2)
<=> ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f814,plain,
spl7_82,
inference(avatar_split_clause,[],[f195,f812]) ).
fof(f195,plain,
! [X2,X0,X1] :
( sP0(X0,X1,X2)
| sK5(X0,X1,X2) = X0
| aElementOf0(sK5(X0,X1,X2),X1)
| aElementOf0(sK5(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ( ( ( sK5(X0,X1,X2) != X0
& ~ aElementOf0(sK5(X0,X1,X2),X1) )
| ~ aElement0(sK5(X0,X1,X2))
| ~ aElementOf0(sK5(X0,X1,X2),X2) )
& ( ( ( sK5(X0,X1,X2) = X0
| aElementOf0(sK5(X0,X1,X2),X1) )
& aElement0(sK5(X0,X1,X2)) )
| aElementOf0(sK5(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) ) )
| ~ sP0(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f131,f132]) ).
fof(f132,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) ) )
=> ( ( ( sK5(X0,X1,X2) != X0
& ~ aElementOf0(sK5(X0,X1,X2),X1) )
| ~ aElement0(sK5(X0,X1,X2))
| ~ aElementOf0(sK5(X0,X1,X2),X2) )
& ( ( ( sK5(X0,X1,X2) = X0
| aElementOf0(sK5(X0,X1,X2),X1) )
& aElement0(sK5(X0,X1,X2)) )
| aElementOf0(sK5(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f131,plain,
! [X0,X1,X2] :
( ( sP0(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) ) )
| ~ sP0(X0,X1,X2) ) ),
inference(rectify,[],[f130]) ).
fof(f130,plain,
! [X1,X0,X2] :
( ( sP0(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) ) )
| ~ sP0(X1,X0,X2) ) ),
inference(flattening,[],[f129]) ).
fof(f129,plain,
! [X1,X0,X2] :
( ( sP0(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) ) )
| ~ sP0(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X1,X0,X2] :
( sP0(X1,X0,X2)
<=> ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( X1 = X3
| aElementOf0(X3,X0) )
& aElement0(X3) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f797,plain,
spl7_81,
inference(avatar_split_clause,[],[f196,f795]) ).
fof(f196,plain,
! [X2,X0,X1] :
( sP0(X0,X1,X2)
| ~ aElementOf0(sK5(X0,X1,X2),X1)
| ~ aElement0(sK5(X0,X1,X2))
| ~ aElementOf0(sK5(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f133]) ).
fof(f786,plain,
( ~ spl7_6
| spl7_80
| ~ spl7_12
| ~ spl7_49
| ~ spl7_56 ),
inference(avatar_split_clause,[],[f547,f522,f473,f287,f783,f257]) ).
fof(f547,plain,
( xS = sdtpldt0(slcrc0,xx)
| ~ aSet0(xS)
| ~ spl7_12
| ~ spl7_49
| ~ spl7_56 ),
inference(forward_demodulation,[],[f541,f475]) ).
fof(f781,plain,
spl7_79,
inference(avatar_split_clause,[],[f219,f779]) ).
fof(f779,plain,
( spl7_79
<=> ! [X2,X0,X1] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_79])]) ).
fof(f219,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f107]) ).
fof(f107,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0,X1,X2] :
( ( aElementOf0(X2,szNzAzT0)
& aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessTrans) ).
fof(f753,plain,
spl7_78,
inference(avatar_split_clause,[],[f184,f751]) ).
fof(f184,plain,
! [X0,X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| aElementOf0(X1,X0)
| ~ aElement0(X1)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0] :
( ! [X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| aElementOf0(X1,X0)
| ~ aElement0(X1) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f84]) ).
fof(f84,plain,
! [X0] :
( ! [X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| aElementOf0(X1,X0)
| ~ aElement0(X1) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X0] :
( ( isFinite0(X0)
& aSet0(X0) )
=> ! [X1] :
( aElement0(X1)
=> ( ~ aElementOf0(X1,X0)
=> sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardCons) ).
fof(f726,plain,
spl7_77,
inference(avatar_split_clause,[],[f206,f724]) ).
fof(f206,plain,
! [X2,X0,X1] :
( sP1(X0,X1,X2)
| aElementOf0(sK6(X0,X1,X2),X1)
| aElementOf0(sK6(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f140]) ).
fof(f680,plain,
spl7_76,
inference(avatar_split_clause,[],[f231,f678]) ).
fof(f678,plain,
( spl7_76
<=> ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| sK5(X0,X1,X2) != X0
| ~ aElement0(X0)
| ~ aElementOf0(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_76])]) ).
fof(f231,plain,
! [X2,X0,X1] :
( sP0(X0,X1,X2)
| sK5(X0,X1,X2) != X0
| ~ aElement0(X0)
| ~ aElementOf0(X0,X2) ),
inference(inner_rewriting,[],[f197]) ).
fof(f197,plain,
! [X2,X0,X1] :
( sP0(X0,X1,X2)
| sK5(X0,X1,X2) != X0
| ~ aElement0(sK5(X0,X1,X2))
| ~ aElementOf0(sK5(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f133]) ).
fof(f676,plain,
spl7_75,
inference(avatar_split_clause,[],[f218,f674]) ).
fof(f674,plain,
( spl7_75
<=> ! [X2,X0,X1] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_75])]) ).
fof(f218,plain,
! [X2,X0,X1] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0,X1,X2] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f105]) ).
fof(f105,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/sandbox/benchmark/theBenchmark.p',mSubTrans) ).
fof(f672,plain,
spl7_74,
inference(avatar_split_clause,[],[f215,f670]) ).
fof(f670,plain,
( spl7_74
<=> ! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_74])]) ).
fof(f215,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f101]) ).
fof(f101,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessASymm) ).
fof(f668,plain,
spl7_73,
inference(avatar_split_clause,[],[f211,f666]) ).
fof(f666,plain,
( spl7_73
<=> ! [X2,X0,X1] :
( sdtmndt0(X0,X1) = X2
| ~ sP1(X1,X0,X2)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_73])]) ).
fof(f211,plain,
! [X2,X0,X1] :
( sdtmndt0(X0,X1) = X2
| ~ sP1(X1,X0,X2)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtmndt0(X0,X1) = X2
| ~ sP1(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP1(X1,X0,X2)
& aSet0(X2) )
| sdtmndt0(X0,X1) != X2 ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f141]) ).
fof(f141,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtmndt0(X0,X1) = X2
| ~ sP1(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP1(X1,X0,X2)
& aSet0(X2) )
| sdtmndt0(X0,X1) != X2 ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( sP1(X1,X0,X2)
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(definition_folding,[],[f94,f111]) ).
fof(f94,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,[],[f93]) ).
fof(f93,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/sandbox/benchmark/theBenchmark.p',mDefDiff) ).
fof(f664,plain,
spl7_72,
inference(avatar_split_clause,[],[f205,f662]) ).
fof(f205,plain,
! [X2,X0,X1] :
( sP1(X0,X1,X2)
| aElement0(sK6(X0,X1,X2))
| aElementOf0(sK6(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f140]) ).
fof(f660,plain,
spl7_71,
inference(avatar_split_clause,[],[f204,f658]) ).
fof(f658,plain,
( spl7_71
<=> ! [X4,X0,X2,X1] :
( aElementOf0(X4,X2)
| X0 = X4
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4)
| ~ sP1(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_71])]) ).
fof(f204,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| X0 = X4
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4)
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f140]) ).
fof(f656,plain,
spl7_70,
inference(avatar_split_clause,[],[f200,f654]) ).
fof(f654,plain,
( spl7_70
<=> ! [X2,X0,X1] :
( sdtpldt0(X0,X1) = X2
| ~ sP0(X1,X0,X2)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_70])]) ).
fof(f200,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,X1) = X2
| ~ sP0(X1,X0,X2)
| ~ aSet0(X2)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtpldt0(X0,X1) = X2
| ~ sP0(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP0(X1,X0,X2)
& aSet0(X2) )
| sdtpldt0(X0,X1) != X2 ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f134]) ).
fof(f134,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtpldt0(X0,X1) = X2
| ~ sP0(X1,X0,X2)
| ~ aSet0(X2) )
& ( ( sP0(X1,X0,X2)
& aSet0(X2) )
| sdtpldt0(X0,X1) != X2 ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0,X1] :
( ! [X2] :
( sdtpldt0(X0,X1) = X2
<=> ( sP0(X1,X0,X2)
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(definition_folding,[],[f92,f109]) ).
fof(f92,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,[],[f91]) ).
fof(f91,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/sandbox/benchmark/theBenchmark.p',mDefCons) ).
fof(f652,plain,
( ~ spl7_69
| spl7_5
| ~ spl7_22
| ~ spl7_49 ),
inference(avatar_split_clause,[],[f600,f473,f333,f252,f649]) ).
fof(f649,plain,
( spl7_69
<=> sbrdtbr0(xS) = szszuzczcdt0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_69])]) ).
fof(f600,plain,
( sbrdtbr0(xS) != szszuzczcdt0(sz00)
| spl7_5
| ~ spl7_22
| ~ spl7_49 ),
inference(forward_demodulation,[],[f594,f335]) ).
fof(f594,plain,
( sbrdtbr0(xS) != szszuzczcdt0(sbrdtbr0(slcrc0))
| spl7_5
| ~ spl7_49 ),
inference(superposition,[],[f254,f475]) ).
fof(f254,plain,
( szszuzczcdt0(sbrdtbr0(sdtmndt0(xS,xx))) != sbrdtbr0(xS)
| spl7_5 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f647,plain,
spl7_68,
inference(avatar_split_clause,[],[f194,f645]) ).
fof(f194,plain,
! [X2,X0,X1] :
( sP0(X0,X1,X2)
| aElement0(sK5(X0,X1,X2))
| aElementOf0(sK5(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f133]) ).
fof(f616,plain,
spl7_67,
inference(avatar_split_clause,[],[f217,f614]) ).
fof(f614,plain,
( spl7_67
<=> ! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_67])]) ).
fof(f217,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) )
& ( sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(nnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f103]) ).
fof(f103,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(X0,X1)
<=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccLess) ).
fof(f612,plain,
spl7_66,
inference(avatar_split_clause,[],[f216,f610]) ).
fof(f610,plain,
( spl7_66
<=> ! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_66])]) ).
fof(f216,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f608,plain,
spl7_65,
inference(avatar_split_clause,[],[f214,f606]) ).
fof(f606,plain,
( spl7_65
<=> ! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_65])]) ).
fof(f214,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( szszuzczcdt0(X0) = szszuzczcdt0(X1)
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccEquSucc) ).
fof(f604,plain,
spl7_64,
inference(avatar_split_clause,[],[f189,f602]) ).
fof(f189,plain,
! [X0,X1] :
( sdtmndt0(sdtpldt0(X1,X0),X0) = X1
| aElementOf0(X0,X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1] :
( sdtmndt0(sdtpldt0(X1,X0),X0) = X1
| aElementOf0(X0,X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f89]) ).
fof(f89,plain,
! [X0,X1] :
( sdtmndt0(sdtpldt0(X1,X0),X0) = X1
| aElementOf0(X0,X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0,X1] :
( ( aSet0(X1)
& aElement0(X0) )
=> ( ~ aElementOf0(X0,X1)
=> sdtmndt0(sdtpldt0(X1,X0),X0) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDiffCons) ).
fof(f584,plain,
spl7_63,
inference(avatar_split_clause,[],[f232,f582]) ).
fof(f582,plain,
( spl7_63
<=> ! [X2,X0,X1] :
( sP1(X0,X1,X2)
| sK6(X0,X1,X2) != X0
| aElementOf0(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_63])]) ).
fof(f232,plain,
! [X2,X0,X1] :
( sP1(X0,X1,X2)
| sK6(X0,X1,X2) != X0
| aElementOf0(X0,X2) ),
inference(inner_rewriting,[],[f207]) ).
fof(f207,plain,
! [X2,X0,X1] :
( sP1(X0,X1,X2)
| sK6(X0,X1,X2) != X0
| aElementOf0(sK6(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f140]) ).
fof(f580,plain,
spl7_62,
inference(avatar_split_clause,[],[f213,f578]) ).
fof(f578,plain,
( spl7_62
<=> ! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_62])]) ).
fof(f213,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f97]) ).
fof(f97,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessTotal) ).
fof(f576,plain,
spl7_61,
inference(avatar_split_clause,[],[f212,f574]) ).
fof(f574,plain,
( spl7_61
<=> ! [X0,X1] :
( X0 = X1
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_61])]) ).
fof(f212,plain,
! [X0,X1] :
( X0 = X1
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1] :
( X0 = X1
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f95]) ).
fof(f95,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/sandbox/benchmark/theBenchmark.p',mSubASymm) ).
fof(f572,plain,
spl7_60,
inference(avatar_split_clause,[],[f191,f570]) ).
fof(f570,plain,
( spl7_60
<=> ! [X2,X4,X0,X1] :
( X0 = X4
| aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP0(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_60])]) ).
fof(f191,plain,
! [X2,X0,X1,X4] :
( X0 = X4
| aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f133]) ).
fof(f536,plain,
spl7_59,
inference(avatar_split_clause,[],[f192,f534]) ).
fof(f534,plain,
( spl7_59
<=> ! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4)
| ~ sP0(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_59])]) ).
fof(f192,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f133]) ).
fof(f532,plain,
spl7_58,
inference(avatar_split_clause,[],[f172,f530]) ).
fof(f172,plain,
! [X0,X1] :
( aSubsetOf0(X1,X0)
| ~ aElementOf0(sK2(X0,X1),X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ( ~ aElementOf0(sK2(X0,X1),X0)
& aElementOf0(sK2(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,[sK2])],[f119,f120]) ).
fof(f120,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK2(X0,X1),X0)
& aElementOf0(sK2(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f119,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,[],[f118]) ).
fof(f118,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,[],[f117]) ).
fof(f117,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,[],[f71]) ).
fof(f71,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/sandbox/benchmark/theBenchmark.p',mDefSub) ).
fof(f528,plain,
spl7_57,
inference(avatar_split_clause,[],[f171,f526]) ).
fof(f171,plain,
! [X0,X1] :
( aSubsetOf0(X1,X0)
| aElementOf0(sK2(X0,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f524,plain,
spl7_56,
inference(avatar_split_clause,[],[f168,f522]) ).
fof(f168,plain,
! [X0,X1] :
( sdtpldt0(sdtmndt0(X0,X1),X1) = X0
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,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/sandbox/benchmark/theBenchmark.p',mConsDiff) ).
fof(f513,plain,
spl7_55,
inference(avatar_split_clause,[],[f181,f511]) ).
fof(f511,plain,
( spl7_55
<=> ! [X0] :
( szszuzczcdt0(sK3(X0)) = X0
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_55])]) ).
fof(f181,plain,
! [X0] :
( szszuzczcdt0(sK3(X0)) = X0
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0] :
( ( szszuzczcdt0(sK3(X0)) = X0
& aElementOf0(sK3(X0),szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f79,f122]) ).
fof(f122,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
=> ( szszuzczcdt0(sK3(X0)) = X0
& aElementOf0(sK3(X0),szNzAzT0) ) ),
introduced(choice_axiom,[]) ).
fof(f79,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f78]) ).
fof(f78,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| sz00 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNatExtra) ).
fof(f509,plain,
spl7_54,
inference(avatar_split_clause,[],[f170,f507]) ).
fof(f507,plain,
( spl7_54
<=> ! [X0,X1,X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_54])]) ).
fof(f170,plain,
! [X3,X0,X1] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f502,plain,
( ~ spl7_53
| spl7_48
| ~ spl7_49 ),
inference(avatar_split_clause,[],[f477,f473,f469,f499]) ).
fof(f499,plain,
( spl7_53
<=> aElementOf0(sK4(slcrc0),xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_53])]) ).
fof(f477,plain,
( ~ aElementOf0(sK4(slcrc0),xS)
| spl7_48
| ~ spl7_49 ),
inference(forward_demodulation,[],[f470,f475]) ).
fof(f470,plain,
( ~ aElementOf0(sK4(sdtmndt0(xS,xx)),xS)
| spl7_48 ),
inference(avatar_component_clause,[],[f469]) ).
fof(f489,plain,
spl7_52,
inference(avatar_split_clause,[],[f229,f487]) ).
fof(f229,plain,
! [X0,X1] :
( sP1(X1,X0,sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f210]) ).
fof(f210,plain,
! [X2,X0,X1] :
( sP1(X1,X0,X2)
| sdtmndt0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f485,plain,
spl7_51,
inference(avatar_split_clause,[],[f226,f483]) ).
fof(f226,plain,
! [X0,X1] :
( sP0(X1,X0,sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f199]) ).
fof(f199,plain,
! [X2,X0,X1] :
( sP0(X1,X0,X2)
| sdtpldt0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f481,plain,
spl7_50,
inference(avatar_split_clause,[],[f202,f479]) ).
fof(f479,plain,
( spl7_50
<=> ! [X4,X0,X1,X2] :
( aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP1(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_50])]) ).
fof(f202,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f140]) ).
fof(f476,plain,
( spl7_48
| ~ spl7_1
| spl7_49
| ~ spl7_4
| ~ spl7_39 ),
inference(avatar_split_clause,[],[f443,f423,f248,f473,f234,f469]) ).
fof(f443,plain,
( slcrc0 = sdtmndt0(xS,xx)
| ~ aSet0(sdtmndt0(xS,xx))
| aElementOf0(sK4(sdtmndt0(xS,xx)),xS)
| ~ spl7_4
| ~ spl7_39 ),
inference(resolution,[],[f424,f249]) ).
fof(f467,plain,
spl7_47,
inference(avatar_split_clause,[],[f180,f465]) ).
fof(f180,plain,
! [X0] :
( aElementOf0(sK3(X0),szNzAzT0)
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f463,plain,
spl7_46,
inference(avatar_split_clause,[],[f160,f461]) ).
fof(f160,plain,
! [X0,X1] :
( isFinite0(sdtmndt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0] :
( ! [X1] :
( isFinite0(sdtmndt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(flattening,[],[f63]) ).
fof(f63,plain,
! [X0] :
( ! [X1] :
( isFinite0(sdtmndt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( ( isFinite0(X1)
& aSet0(X1) )
=> isFinite0(sdtmndt0(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mFDiffSet) ).
fof(f459,plain,
spl7_45,
inference(avatar_split_clause,[],[f159,f457]) ).
fof(f457,plain,
( spl7_45
<=> ! [X0,X1] :
( isFinite0(sdtpldt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_45])]) ).
fof(f159,plain,
! [X0,X1] :
( isFinite0(sdtpldt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0] :
( ! [X1] :
( isFinite0(sdtpldt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(flattening,[],[f61]) ).
fof(f61,plain,
! [X0] :
( ! [X1] :
( isFinite0(sdtpldt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( ( isFinite0(X1)
& aSet0(X1) )
=> isFinite0(sdtpldt0(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mFConsSet) ).
fof(f455,plain,
spl7_44,
inference(avatar_split_clause,[],[f158,f453]) ).
fof(f453,plain,
( spl7_44
<=> ! [X0,X1] :
( isCountable0(sdtmndt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_44])]) ).
fof(f158,plain,
! [X0,X1] :
( isCountable0(sdtmndt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtmndt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(flattening,[],[f59]) ).
fof(f59,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtmndt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( ( isCountable0(X1)
& aSet0(X1) )
=> isCountable0(sdtmndt0(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCDiffSet) ).
fof(f451,plain,
spl7_43,
inference(avatar_split_clause,[],[f157,f449]) ).
fof(f449,plain,
( spl7_43
<=> ! [X0,X1] :
( isCountable0(sdtpldt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_43])]) ).
fof(f157,plain,
! [X0,X1] :
( isCountable0(sdtpldt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtpldt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(flattening,[],[f57]) ).
fof(f57,plain,
! [X0] :
( ! [X1] :
( isCountable0(sdtpldt0(X1,X0))
| ~ isCountable0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( ( isCountable0(X1)
& aSet0(X1) )
=> isCountable0(sdtpldt0(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCConsSet) ).
fof(f437,plain,
spl7_42,
inference(avatar_split_clause,[],[f225,f435]) ).
fof(f225,plain,
! [X2,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElement0(X4)
| ~ sP0(X4,X1,X2) ),
inference(equality_resolution,[],[f193]) ).
fof(f193,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| X0 != X4
| ~ aElement0(X4)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f133]) ).
fof(f433,plain,
spl7_41,
inference(avatar_split_clause,[],[f201,f431]) ).
fof(f431,plain,
( spl7_41
<=> ! [X4,X0,X2,X1] :
( aElement0(X4)
| ~ aElementOf0(X4,X2)
| ~ sP1(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_41])]) ).
fof(f201,plain,
! [X2,X0,X1,X4] :
( aElement0(X4)
| ~ aElementOf0(X4,X2)
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f140]) ).
fof(f429,plain,
spl7_40,
inference(avatar_split_clause,[],[f190,f427]) ).
fof(f427,plain,
( spl7_40
<=> ! [X4,X0,X2,X1] :
( aElement0(X4)
| ~ aElementOf0(X4,X2)
| ~ sP0(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_40])]) ).
fof(f190,plain,
! [X2,X0,X1,X4] :
( aElement0(X4)
| ~ aElementOf0(X4,X2)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f133]) ).
fof(f425,plain,
spl7_39,
inference(avatar_split_clause,[],[f188,f423]) ).
fof(f188,plain,
! [X0] :
( slcrc0 = X0
| aElementOf0(sK4(X0),X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0] :
( ( slcrc0 = X0
| aElementOf0(sK4(X0),X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f126,f127]) ).
fof(f127,plain,
! [X0] :
( ? [X1] : aElementOf0(X1,X0)
=> aElementOf0(sK4(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f126,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(rectify,[],[f125]) ).
fof(f125,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(flattening,[],[f124]) ).
fof(f124,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(nnf_transformation,[],[f88]) ).
fof(f88,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/sandbox/benchmark/theBenchmark.p',mDefEmp) ).
fof(f421,plain,
spl7_38,
inference(avatar_split_clause,[],[f185,f419]) ).
fof(f419,plain,
( spl7_38
<=> ! [X0,X1] :
( isFinite0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_38])]) ).
fof(f185,plain,
! [X0,X1] :
( isFinite0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0] :
( ! [X1] :
( isFinite0(X1)
| ~ aSubsetOf0(X1,X0) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f86]) ).
fof(f86,plain,
! [X0] :
( ! [X1] :
( isFinite0(X1)
| ~ aSubsetOf0(X1,X0) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( ( isFinite0(X0)
& aSet0(X0) )
=> ! [X1] :
( aSubsetOf0(X1,X0)
=> isFinite0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubFSet) ).
fof(f417,plain,
spl7_37,
inference(avatar_split_clause,[],[f163,f415]) ).
fof(f415,plain,
( spl7_37
<=> ! [X0] :
( slcrc0 = X0
| sz00 != sbrdtbr0(X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_37])]) ).
fof(f163,plain,
! [X0] :
( slcrc0 = X0
| sz00 != sbrdtbr0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0] :
( ( ( sz00 = sbrdtbr0(X0)
| slcrc0 != X0 )
& ( slcrc0 = X0
| sz00 != sbrdtbr0(X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0] :
( ( sz00 = sbrdtbr0(X0)
<=> slcrc0 = X0 )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0] :
( aSet0(X0)
=> ( sz00 = sbrdtbr0(X0)
<=> slcrc0 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardEmpty) ).
fof(f407,plain,
( ~ spl7_6
| spl7_36
| ~ spl7_12
| ~ spl7_23 ),
inference(avatar_split_clause,[],[f378,f342,f287,f404,f257]) ).
fof(f378,plain,
( aElement0(xx)
| ~ aSet0(xS)
| ~ spl7_12
| ~ spl7_23 ),
inference(resolution,[],[f343,f289]) ).
fof(f401,plain,
spl7_35,
inference(avatar_split_clause,[],[f230,f399]) ).
fof(f399,plain,
( spl7_35
<=> ! [X0,X1] :
( aSet0(sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_35])]) ).
fof(f230,plain,
! [X0,X1] :
( aSet0(sdtmndt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f209]) ).
fof(f209,plain,
! [X2,X0,X1] :
( aSet0(X2)
| sdtmndt0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f397,plain,
spl7_34,
inference(avatar_split_clause,[],[f227,f395]) ).
fof(f395,plain,
( spl7_34
<=> ! [X0,X1] :
( aSet0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_34])]) ).
fof(f227,plain,
! [X0,X1] :
( aSet0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f198]) ).
fof(f198,plain,
! [X2,X0,X1] :
( aSet0(X2)
| sdtpldt0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f393,plain,
spl7_33,
inference(avatar_split_clause,[],[f166,f391]) ).
fof(f166,plain,
! [X0] :
( aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0] :
( ( ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ isFinite0(X0) )
& ( isFinite0(X0)
| ~ aElementOf0(sbrdtbr0(X0),szNzAzT0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0] :
( ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
<=> isFinite0(X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0] :
( aSet0(X0)
=> ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
<=> isFinite0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardNum) ).
fof(f389,plain,
spl7_32,
inference(avatar_split_clause,[],[f165,f387]) ).
fof(f387,plain,
( spl7_32
<=> ! [X0] :
( isFinite0(X0)
| ~ aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_32])]) ).
fof(f165,plain,
! [X0] :
( isFinite0(X0)
| ~ aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f377,plain,
spl7_31,
inference(avatar_split_clause,[],[f228,f375]) ).
fof(f228,plain,
! [X2,X1,X4] :
( ~ aElementOf0(X4,X2)
| ~ sP1(X4,X1,X2) ),
inference(equality_resolution,[],[f203]) ).
fof(f203,plain,
! [X2,X0,X1,X4] :
( X0 != X4
| ~ aElementOf0(X4,X2)
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f140]) ).
fof(f373,plain,
spl7_30,
inference(avatar_split_clause,[],[f179,f371]) ).
fof(f371,plain,
( spl7_30
<=> ! [X0] :
( sz00 != szszuzczcdt0(X0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_30])]) ).
fof(f179,plain,
! [X0] :
( sz00 != szszuzczcdt0(X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0] :
( ( sz00 != szszuzczcdt0(X0)
& aElementOf0(szszuzczcdt0(X0),szNzAzT0) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( sz00 != szszuzczcdt0(X0)
& aElementOf0(szszuzczcdt0(X0),szNzAzT0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccNum) ).
fof(f369,plain,
spl7_29,
inference(avatar_split_clause,[],[f178,f367]) ).
fof(f178,plain,
! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f365,plain,
spl7_28,
inference(avatar_split_clause,[],[f177,f363]) ).
fof(f363,plain,
( spl7_28
<=> ! [X0] :
( sdtlseqdt0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_28])]) ).
fof(f177,plain,
! [X0] :
( sdtlseqdt0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0] :
( sdtlseqdt0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlseqdt0(X0,szszuzczcdt0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessSucc) ).
fof(f361,plain,
spl7_27,
inference(avatar_split_clause,[],[f176,f359]) ).
fof(f359,plain,
( spl7_27
<=> ! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),sz00)
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_27])]) ).
fof(f176,plain,
! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),sz00)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),sz00)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ~ sdtlseqdt0(szszuzczcdt0(X0),sz00) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNoScLessZr) ).
fof(f357,plain,
spl7_26,
inference(avatar_split_clause,[],[f175,f355]) ).
fof(f355,plain,
( spl7_26
<=> ! [X0] :
( szszuzczcdt0(X0) != X0
| ~ aElementOf0(X0,szNzAzT0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_26])]) ).
fof(f175,plain,
! [X0] :
( szszuzczcdt0(X0) != X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] :
( szszuzczcdt0(X0) != X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> szszuzczcdt0(X0) != X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNatNSucc) ).
fof(f353,plain,
spl7_25,
inference(avatar_split_clause,[],[f169,f351]) ).
fof(f351,plain,
( spl7_25
<=> ! [X0,X1] :
( aSet0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_25])]) ).
fof(f169,plain,
! [X0,X1] :
( aSet0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f349,plain,
( spl7_24
| ~ spl7_13
| ~ spl7_19 ),
inference(avatar_split_clause,[],[f338,f321,f292,f346]) ).
fof(f346,plain,
( spl7_24
<=> sdtlseqdt0(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_24])]) ).
fof(f338,plain,
( sdtlseqdt0(sz00,sz00)
| ~ spl7_13
| ~ spl7_19 ),
inference(resolution,[],[f322,f294]) ).
fof(f344,plain,
spl7_23,
inference(avatar_split_clause,[],[f167,f342]) ).
fof(f167,plain,
! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,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/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
fof(f336,plain,
( ~ spl7_11
| spl7_22 ),
inference(avatar_split_clause,[],[f221,f333,f282]) ).
fof(f221,plain,
( sz00 = sbrdtbr0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(equality_resolution,[],[f164]) ).
fof(f164,plain,
! [X0] :
( sz00 = sbrdtbr0(X0)
| slcrc0 != X0
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f331,plain,
spl7_21,
inference(avatar_split_clause,[],[f182,f329]) ).
fof(f182,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f80]) ).
fof(f80,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( ( isCountable0(X0)
& aSet0(X0) )
=> ~ isFinite0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCountNFin) ).
fof(f327,plain,
spl7_20,
inference(avatar_split_clause,[],[f174,f325]) ).
fof(f174,plain,
! [X0] :
( sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0] :
( sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlseqdt0(sz00,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroLess) ).
fof(f323,plain,
spl7_19,
inference(avatar_split_clause,[],[f173,f321]) ).
fof(f173,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessRefl) ).
fof(f319,plain,
spl7_18,
inference(avatar_split_clause,[],[f162,f317]) ).
fof(f317,plain,
( spl7_18
<=> ! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_18])]) ).
fof(f162,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( aSet0(X0)
=> aSubsetOf0(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubRefl) ).
fof(f315,plain,
spl7_17,
inference(avatar_split_clause,[],[f161,f313]) ).
fof(f161,plain,
! [X0] :
( aElement0(sbrdtbr0(X0))
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0] :
( aElement0(sbrdtbr0(X0))
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0] :
( aSet0(X0)
=> aElement0(sbrdtbr0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardS) ).
fof(f311,plain,
( ~ spl7_11
| ~ spl7_16 ),
inference(avatar_split_clause,[],[f222,f308,f282]) ).
fof(f308,plain,
( spl7_16
<=> isCountable0(slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_16])]) ).
fof(f222,plain,
( ~ isCountable0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(equality_resolution,[],[f183]) ).
fof(f183,plain,
! [X0] :
( slcrc0 != X0
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0] :
( slcrc0 != X0
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f82]) ).
fof(f82,plain,
! [X0] :
( slcrc0 != X0
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( ( isCountable0(X0)
& aSet0(X0) )
=> slcrc0 != X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCountNFin_01) ).
fof(f303,plain,
spl7_15,
inference(avatar_split_clause,[],[f148,f301]) ).
fof(f148,plain,
! [X0] :
( aElementOf0(X0,sdtmndt0(xS,xx))
| xx = X0
| ~ aElementOf0(X0,xS)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
( szszuzczcdt0(sbrdtbr0(sdtmndt0(xS,xx))) != sbrdtbr0(xS)
& ! [X0] :
( ( aElementOf0(X0,sdtmndt0(xS,xx))
| xx = X0
| ~ aElementOf0(X0,xS)
| ~ aElement0(X0) )
& ( ( xx != X0
& aElementOf0(X0,xS)
& aElement0(X0) )
| ~ aElementOf0(X0,sdtmndt0(xS,xx)) ) )
& aSet0(sdtmndt0(xS,xx)) ),
inference(flattening,[],[f113]) ).
fof(f113,plain,
( szszuzczcdt0(sbrdtbr0(sdtmndt0(xS,xx))) != sbrdtbr0(xS)
& ! [X0] :
( ( aElementOf0(X0,sdtmndt0(xS,xx))
| xx = X0
| ~ aElementOf0(X0,xS)
| ~ aElement0(X0) )
& ( ( xx != X0
& aElementOf0(X0,xS)
& aElement0(X0) )
| ~ aElementOf0(X0,sdtmndt0(xS,xx)) ) )
& aSet0(sdtmndt0(xS,xx)) ),
inference(nnf_transformation,[],[f56]) ).
fof(f56,plain,
( szszuzczcdt0(sbrdtbr0(sdtmndt0(xS,xx))) != sbrdtbr0(xS)
& ! [X0] :
( aElementOf0(X0,sdtmndt0(xS,xx))
<=> ( xx != X0
& aElementOf0(X0,xS)
& aElement0(X0) ) )
& aSet0(sdtmndt0(xS,xx)) ),
inference(flattening,[],[f55]) ).
fof(f55,plain,
( szszuzczcdt0(sbrdtbr0(sdtmndt0(xS,xx))) != sbrdtbr0(xS)
& ! [X0] :
( aElementOf0(X0,sdtmndt0(xS,xx))
<=> ( xx != X0
& aElementOf0(X0,xS)
& aElement0(X0) ) )
& aSet0(sdtmndt0(xS,xx)) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,negated_conjecture,
~ ( ( ! [X0] :
( aElementOf0(X0,sdtmndt0(xS,xx))
<=> ( xx != X0
& aElementOf0(X0,xS)
& aElement0(X0) ) )
& aSet0(sdtmndt0(xS,xx)) )
=> szszuzczcdt0(sbrdtbr0(sdtmndt0(xS,xx))) = sbrdtbr0(xS) ),
inference(negated_conjecture,[],[f46]) ).
fof(f46,conjecture,
( ( ! [X0] :
( aElementOf0(X0,sdtmndt0(xS,xx))
<=> ( xx != X0
& aElementOf0(X0,xS)
& aElement0(X0) ) )
& aSet0(sdtmndt0(xS,xx)) )
=> szszuzczcdt0(sbrdtbr0(sdtmndt0(xS,xx))) = sbrdtbr0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f299,plain,
spl7_14,
inference(avatar_split_clause,[],[f223,f297]) ).
fof(f223,plain,
! [X2] : ~ aElementOf0(X2,slcrc0),
inference(equality_resolution,[],[f187]) ).
fof(f187,plain,
! [X2,X0] :
( ~ aElementOf0(X2,X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f128]) ).
fof(f295,plain,
spl7_13,
inference(avatar_split_clause,[],[f154,f292]) ).
fof(f154,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf_transformation,[],[f24]) ).
fof(f24,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroNum) ).
fof(f290,plain,
spl7_12,
inference(avatar_split_clause,[],[f152,f287]) ).
fof(f152,plain,
aElementOf0(xx,xS),
inference(cnf_transformation,[],[f45]) ).
fof(f45,axiom,
( aElementOf0(xx,xS)
& isFinite0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1522_02) ).
fof(f285,plain,
spl7_11,
inference(avatar_split_clause,[],[f224,f282]) ).
fof(f224,plain,
aSet0(slcrc0),
inference(equality_resolution,[],[f186]) ).
fof(f186,plain,
! [X0] :
( aSet0(X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f128]) ).
fof(f280,plain,
spl7_10,
inference(avatar_split_clause,[],[f156,f277]) ).
fof(f156,plain,
isCountable0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f23,axiom,
( isCountable0(szNzAzT0)
& aSet0(szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNATSet) ).
fof(f275,plain,
spl7_9,
inference(avatar_split_clause,[],[f155,f272]) ).
fof(f155,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f270,plain,
spl7_8,
inference(avatar_split_clause,[],[f153,f267]) ).
fof(f267,plain,
( spl7_8
<=> isFinite0(slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_8])]) ).
fof(f153,plain,
isFinite0(slcrc0),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
isFinite0(slcrc0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEmpFin) ).
fof(f265,plain,
spl7_7,
inference(avatar_split_clause,[],[f151,f262]) ).
fof(f151,plain,
isFinite0(xS),
inference(cnf_transformation,[],[f45]) ).
fof(f260,plain,
spl7_6,
inference(avatar_split_clause,[],[f150,f257]) ).
fof(f150,plain,
aSet0(xS),
inference(cnf_transformation,[],[f44]) ).
fof(f44,axiom,
aSet0(xS),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1522) ).
fof(f255,plain,
~ spl7_5,
inference(avatar_split_clause,[],[f149,f252]) ).
fof(f149,plain,
szszuzczcdt0(sbrdtbr0(sdtmndt0(xS,xx))) != sbrdtbr0(xS),
inference(cnf_transformation,[],[f114]) ).
fof(f250,plain,
spl7_4,
inference(avatar_split_clause,[],[f146,f248]) ).
fof(f146,plain,
! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,sdtmndt0(xS,xx)) ),
inference(cnf_transformation,[],[f114]) ).
fof(f246,plain,
spl7_3,
inference(avatar_split_clause,[],[f145,f244]) ).
fof(f145,plain,
! [X0] :
( aElement0(X0)
| ~ aElementOf0(X0,sdtmndt0(xS,xx)) ),
inference(cnf_transformation,[],[f114]) ).
fof(f242,plain,
~ spl7_2,
inference(avatar_split_clause,[],[f220,f239]) ).
fof(f220,plain,
~ aElementOf0(xx,sdtmndt0(xS,xx)),
inference(equality_resolution,[],[f147]) ).
fof(f147,plain,
! [X0] :
( xx != X0
| ~ aElementOf0(X0,sdtmndt0(xS,xx)) ),
inference(cnf_transformation,[],[f114]) ).
fof(f237,plain,
spl7_1,
inference(avatar_split_clause,[],[f144,f234]) ).
fof(f144,plain,
aSet0(sdtmndt0(xS,xx)),
inference(cnf_transformation,[],[f114]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : NUM538+2 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n028.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 14:59:52 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % (8428)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (8432)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.36 TRYING [1]
% 0.13/0.36 TRYING [2]
% 0.13/0.36 % (8431)WARNING: value z3 for option sas not known
% 0.13/0.36 TRYING [3]
% 0.13/0.36 % (8429)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.36 % (8430)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.36 % (8431)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)
% 0.13/0.36 % (8434)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)
% 0.13/0.36 % (8435)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)
% 0.13/0.36 % (8433)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 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [4]
% 0.13/0.37 TRYING [3]
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [4]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 TRYING [3]
% 0.13/0.39 TRYING [5]
% 0.13/0.39 % (8433)First to succeed.
% 0.13/0.39 TRYING [4]
% 0.13/0.40 % (8433)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-8428"
% 0.13/0.40 % (8433)Refutation found. Thanks to Tanya!
% 0.13/0.40 % SZS status Theorem for theBenchmark
% 0.13/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.40 % (8433)------------------------------
% 0.13/0.40 % (8433)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.40 % (8433)Termination reason: Refutation
% 0.13/0.40
% 0.13/0.40 % (8433)Memory used [KB]: 1395
% 0.13/0.40 % (8433)Time elapsed: 0.038 s
% 0.13/0.40 % (8433)Instructions burned: 54 (million)
% 0.13/0.40 % (8428)Success in time 0.057 s
%------------------------------------------------------------------------------