TSTP Solution File: SEU243+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU243+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 09:30:21 EDT 2024
% Result : Theorem 0.21s 0.41s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 202
% Syntax : Number of formulae : 654 ( 77 unt; 0 def)
% Number of atoms : 2191 ( 216 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 2670 (1133 ~;1257 |; 84 &)
% ( 170 <=>; 25 =>; 0 <=; 1 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 175 ( 173 usr; 160 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 7 con; 0-2 aty)
% Number of variables : 666 ( 633 !; 33 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1200,plain,
$false,
inference(avatar_sat_refutation,[],[f153,f162,f167,f172,f177,f182,f187,f192,f197,f202,f207,f212,f216,f220,f224,f228,f232,f248,f252,f256,f260,f264,f272,f277,f281,f285,f290,f294,f298,f302,f306,f310,f320,f324,f328,f332,f336,f358,f362,f366,f370,f376,f380,f385,f391,f397,f401,f412,f416,f421,f426,f430,f438,f442,f446,f451,f456,f460,f468,f475,f480,f485,f491,f496,f501,f507,f509,f518,f527,f532,f541,f548,f553,f562,f566,f570,f585,f592,f598,f603,f608,f613,f617,f633,f641,f646,f653,f657,f665,f670,f679,f688,f697,f706,f710,f720,f724,f733,f742,f751,f760,f766,f770,f774,f778,f782,f795,f801,f807,f813,f819,f823,f833,f844,f848,f852,f856,f873,f878,f882,f896,f919,f927,f931,f940,f944,f961,f965,f972,f978,f991,f996,f1014,f1018,f1022,f1030,f1032,f1052,f1059,f1067,f1071,f1078,f1082,f1095,f1098,f1112,f1121,f1128,f1134,f1138,f1150,f1159,f1168,f1174,f1184,f1199]) ).
fof(f1199,plain,
( spl15_43
| ~ spl15_33
| ~ spl15_149 ),
inference(avatar_split_clause,[],[f1198,f1088,f308,f373]) ).
fof(f373,plain,
( spl15_43
<=> sP0(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_43])]) ).
fof(f308,plain,
( spl15_33
<=> ! [X0] :
( sK5(X0) != sK11
| sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_33])]) ).
fof(f1088,plain,
( spl15_149
<=> sK11 = sK5(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_149])]) ).
fof(f1198,plain,
( sP0(sK4)
| ~ spl15_33
| ~ spl15_149 ),
inference(trivial_inequality_removal,[],[f1188]) ).
fof(f1188,plain,
( sK11 != sK11
| sP0(sK4)
| ~ spl15_33
| ~ spl15_149 ),
inference(superposition,[],[f309,f1090]) ).
fof(f1090,plain,
( sK11 = sK5(sK4)
| ~ spl15_149 ),
inference(avatar_component_clause,[],[f1088]) ).
fof(f309,plain,
( ! [X0] :
( sK5(X0) != sK11
| sP0(X0) )
| ~ spl15_33 ),
inference(avatar_component_clause,[],[f308]) ).
fof(f1184,plain,
( spl15_149
| ~ spl15_150
| ~ spl15_92
| spl15_148 ),
inference(avatar_split_clause,[],[f1097,f1084,f677,f1092,f1088]) ).
fof(f1092,plain,
( spl15_150
<=> subset(sK5(sK4),relation_field(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_150])]) ).
fof(f677,plain,
( spl15_92
<=> ! [X0] :
( in(sK8(sK4,X0),X0)
| ~ subset(X0,relation_field(sK4))
| sK11 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_92])]) ).
fof(f1084,plain,
( spl15_148
<=> in(sK8(sK4,sK5(sK4)),sK5(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_148])]) ).
fof(f1097,plain,
( ~ subset(sK5(sK4),relation_field(sK4))
| sK11 = sK5(sK4)
| ~ spl15_92
| spl15_148 ),
inference(resolution,[],[f1086,f678]) ).
fof(f678,plain,
( ! [X0] :
( in(sK8(sK4,X0),X0)
| ~ subset(X0,relation_field(sK4))
| sK11 = X0 )
| ~ spl15_92 ),
inference(avatar_component_clause,[],[f677]) ).
fof(f1086,plain,
( ~ in(sK8(sK4,sK5(sK4)),sK5(sK4))
| spl15_148 ),
inference(avatar_component_clause,[],[f1084]) ).
fof(f1174,plain,
( spl15_159
| ~ spl15_52
| ~ spl15_119 ),
inference(avatar_split_clause,[],[f828,f821,f424,f1172]) ).
fof(f1172,plain,
( spl15_159
<=> ! [X2,X0,X1] :
( ~ sP0(X0)
| powerset(X1) = sK11
| element(sK6(X2,sK6(X0,powerset(X1))),X1)
| ~ subset(powerset(X1),relation_field(X0))
| sK11 = sK6(X0,powerset(X1))
| ~ subset(sK6(X0,powerset(X1)),relation_field(X2))
| ~ sP0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_159])]) ).
fof(f424,plain,
( spl15_52
<=> ! [X0,X3] :
( sK11 = X3
| in(sK6(X0,X3),X3)
| ~ subset(X3,relation_field(X0))
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_52])]) ).
fof(f821,plain,
( spl15_119
<=> ! [X2,X0,X1] :
( ~ subset(powerset(X0),relation_field(X1))
| ~ sP0(X1)
| sK11 = powerset(X0)
| element(X2,X0)
| ~ in(X2,sK6(X1,powerset(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_119])]) ).
fof(f828,plain,
( ! [X2,X0,X1] :
( ~ sP0(X0)
| powerset(X1) = sK11
| element(sK6(X2,sK6(X0,powerset(X1))),X1)
| ~ subset(powerset(X1),relation_field(X0))
| sK11 = sK6(X0,powerset(X1))
| ~ subset(sK6(X0,powerset(X1)),relation_field(X2))
| ~ sP0(X2) )
| ~ spl15_52
| ~ spl15_119 ),
inference(resolution,[],[f822,f425]) ).
fof(f425,plain,
( ! [X3,X0] :
( in(sK6(X0,X3),X3)
| sK11 = X3
| ~ subset(X3,relation_field(X0))
| ~ sP0(X0) )
| ~ spl15_52 ),
inference(avatar_component_clause,[],[f424]) ).
fof(f822,plain,
( ! [X2,X0,X1] :
( ~ in(X2,sK6(X1,powerset(X0)))
| ~ sP0(X1)
| sK11 = powerset(X0)
| element(X2,X0)
| ~ subset(powerset(X0),relation_field(X1)) )
| ~ spl15_119 ),
inference(avatar_component_clause,[],[f821]) ).
fof(f1168,plain,
( spl15_158
| ~ spl15_52
| ~ spl15_117 ),
inference(avatar_split_clause,[],[f814,f811,f424,f1166]) ).
fof(f1166,plain,
( spl15_158
<=> ! [X2,X0,X1] :
( ~ sP0(X0)
| powerset(X1) = sK11
| ~ empty(X1)
| ~ subset(powerset(X1),relation_field(X0))
| sK11 = sK6(X0,powerset(X1))
| ~ subset(sK6(X0,powerset(X1)),relation_field(X2))
| ~ sP0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_158])]) ).
fof(f811,plain,
( spl15_117
<=> ! [X2,X0,X1] :
( ~ subset(powerset(X0),relation_field(X1))
| ~ sP0(X1)
| sK11 = powerset(X0)
| ~ empty(X0)
| ~ in(X2,sK6(X1,powerset(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_117])]) ).
fof(f814,plain,
( ! [X2,X0,X1] :
( ~ sP0(X0)
| powerset(X1) = sK11
| ~ empty(X1)
| ~ subset(powerset(X1),relation_field(X0))
| sK11 = sK6(X0,powerset(X1))
| ~ subset(sK6(X0,powerset(X1)),relation_field(X2))
| ~ sP0(X2) )
| ~ spl15_52
| ~ spl15_117 ),
inference(resolution,[],[f812,f425]) ).
fof(f812,plain,
( ! [X2,X0,X1] :
( ~ in(X2,sK6(X1,powerset(X0)))
| ~ sP0(X1)
| sK11 = powerset(X0)
| ~ empty(X0)
| ~ subset(powerset(X0),relation_field(X1)) )
| ~ spl15_117 ),
inference(avatar_component_clause,[],[f811]) ).
fof(f1159,plain,
( spl15_157
| ~ spl15_48
| ~ spl15_118 ),
inference(avatar_split_clause,[],[f824,f817,f399,f1157]) ).
fof(f1157,plain,
( spl15_157
<=> ! [X2,X0,X1] :
( sK11 = sK9(powerset(powerset(X0)))
| ~ subset(sK9(powerset(powerset(X0))),relation_field(X1))
| ~ sP0(X1)
| element(X2,X0)
| ~ in(X2,sK6(X1,sK9(powerset(powerset(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_157])]) ).
fof(f399,plain,
( spl15_48
<=> ! [X2,X0,X1] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_48])]) ).
fof(f817,plain,
( spl15_118
<=> ! [X0,X1] :
( element(sK6(X0,sK9(powerset(X1))),X1)
| sK11 = sK9(powerset(X1))
| ~ subset(sK9(powerset(X1)),relation_field(X0))
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_118])]) ).
fof(f824,plain,
( ! [X2,X0,X1] :
( sK11 = sK9(powerset(powerset(X0)))
| ~ subset(sK9(powerset(powerset(X0))),relation_field(X1))
| ~ sP0(X1)
| element(X2,X0)
| ~ in(X2,sK6(X1,sK9(powerset(powerset(X0))))) )
| ~ spl15_48
| ~ spl15_118 ),
inference(resolution,[],[f818,f400]) ).
fof(f400,plain,
( ! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| element(X0,X2)
| ~ in(X0,X1) )
| ~ spl15_48 ),
inference(avatar_component_clause,[],[f399]) ).
fof(f818,plain,
( ! [X0,X1] :
( element(sK6(X0,sK9(powerset(X1))),X1)
| sK11 = sK9(powerset(X1))
| ~ subset(sK9(powerset(X1)),relation_field(X0))
| ~ sP0(X0) )
| ~ spl15_118 ),
inference(avatar_component_clause,[],[f817]) ).
fof(f1150,plain,
( spl15_156
| ~ spl15_46
| ~ spl15_118 ),
inference(avatar_split_clause,[],[f825,f817,f389,f1148]) ).
fof(f1148,plain,
( spl15_156
<=> ! [X2,X0,X1] :
( sK11 = sK9(powerset(powerset(X0)))
| ~ subset(sK9(powerset(powerset(X0))),relation_field(X1))
| ~ sP0(X1)
| ~ empty(X0)
| ~ in(X2,sK6(X1,sK9(powerset(powerset(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_156])]) ).
fof(f389,plain,
( spl15_46
<=> ! [X2,X0,X1] :
( ~ empty(X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_46])]) ).
fof(f825,plain,
( ! [X2,X0,X1] :
( sK11 = sK9(powerset(powerset(X0)))
| ~ subset(sK9(powerset(powerset(X0))),relation_field(X1))
| ~ sP0(X1)
| ~ empty(X0)
| ~ in(X2,sK6(X1,sK9(powerset(powerset(X0))))) )
| ~ spl15_46
| ~ spl15_118 ),
inference(resolution,[],[f818,f390]) ).
fof(f390,plain,
( ! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| ~ empty(X2)
| ~ in(X0,X1) )
| ~ spl15_46 ),
inference(avatar_component_clause,[],[f389]) ).
fof(f1138,plain,
( spl15_155
| ~ spl15_85
| ~ spl15_150 ),
inference(avatar_split_clause,[],[f1101,f1092,f631,f1136]) ).
fof(f1136,plain,
( spl15_155
<=> ! [X0] :
( ~ in(X0,sK5(sK4))
| element(X0,relation_field(sK4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_155])]) ).
fof(f631,plain,
( spl15_85
<=> ! [X2,X0,X1] :
( element(X0,X1)
| ~ in(X0,X2)
| ~ subset(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_85])]) ).
fof(f1101,plain,
( ! [X0] :
( ~ in(X0,sK5(sK4))
| element(X0,relation_field(sK4)) )
| ~ spl15_85
| ~ spl15_150 ),
inference(resolution,[],[f1093,f632]) ).
fof(f632,plain,
( ! [X2,X0,X1] :
( ~ subset(X2,X1)
| ~ in(X0,X2)
| element(X0,X1) )
| ~ spl15_85 ),
inference(avatar_component_clause,[],[f631]) ).
fof(f1093,plain,
( subset(sK5(sK4),relation_field(sK4))
| ~ spl15_150 ),
inference(avatar_component_clause,[],[f1092]) ).
fof(f1134,plain,
( spl15_154
| ~ spl15_92
| ~ spl15_119 ),
inference(avatar_split_clause,[],[f951,f821,f677,f1132]) ).
fof(f1132,plain,
( spl15_154
<=> ! [X0,X1] :
( ~ subset(sK6(X0,powerset(X1)),relation_field(sK4))
| sK11 = sK6(X0,powerset(X1))
| ~ sP0(X0)
| powerset(X1) = sK11
| element(sK8(sK4,sK6(X0,powerset(X1))),X1)
| ~ subset(powerset(X1),relation_field(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_154])]) ).
fof(f951,plain,
( ! [X0,X1] :
( ~ subset(sK6(X0,powerset(X1)),relation_field(sK4))
| sK11 = sK6(X0,powerset(X1))
| ~ sP0(X0)
| powerset(X1) = sK11
| element(sK8(sK4,sK6(X0,powerset(X1))),X1)
| ~ subset(powerset(X1),relation_field(X0)) )
| ~ spl15_92
| ~ spl15_119 ),
inference(resolution,[],[f678,f822]) ).
fof(f1128,plain,
( spl15_153
| ~ spl15_92
| ~ spl15_117 ),
inference(avatar_split_clause,[],[f952,f811,f677,f1126]) ).
fof(f1126,plain,
( spl15_153
<=> ! [X0,X1] :
( ~ subset(sK6(X0,powerset(X1)),relation_field(sK4))
| sK11 = sK6(X0,powerset(X1))
| ~ sP0(X0)
| powerset(X1) = sK11
| ~ empty(X1)
| ~ subset(powerset(X1),relation_field(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_153])]) ).
fof(f952,plain,
( ! [X0,X1] :
( ~ subset(sK6(X0,powerset(X1)),relation_field(sK4))
| sK11 = sK6(X0,powerset(X1))
| ~ sP0(X0)
| powerset(X1) = sK11
| ~ empty(X1)
| ~ subset(powerset(X1),relation_field(X0)) )
| ~ spl15_92
| ~ spl15_117 ),
inference(resolution,[],[f678,f812]) ).
fof(f1121,plain,
( spl15_152
| ~ spl15_55
| ~ spl15_142 ),
inference(avatar_split_clause,[],[f1054,f1050,f440,f1119]) ).
fof(f1119,plain,
( spl15_152
<=> ! [X0] :
( ~ subset(sK7(sK4,X0),relation_field(sK4))
| sK11 = sK7(sK4,X0)
| sP2(sK4,X0)
| ~ in(sK8(sK4,sK7(sK4,X0)),sK7(sK4,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_152])]) ).
fof(f440,plain,
( spl15_55
<=> ! [X0,X1,X3] :
( sP2(X0,X1)
| ~ disjoint(fiber(X0,X3),sK7(X0,X1))
| ~ in(X3,sK7(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_55])]) ).
fof(f1050,plain,
( spl15_142
<=> ! [X0] :
( disjoint(fiber(sK4,sK8(sK4,X0)),X0)
| ~ subset(X0,relation_field(sK4))
| sK11 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_142])]) ).
fof(f1054,plain,
( ! [X0] :
( ~ subset(sK7(sK4,X0),relation_field(sK4))
| sK11 = sK7(sK4,X0)
| sP2(sK4,X0)
| ~ in(sK8(sK4,sK7(sK4,X0)),sK7(sK4,X0)) )
| ~ spl15_55
| ~ spl15_142 ),
inference(resolution,[],[f1051,f441]) ).
fof(f441,plain,
( ! [X3,X0,X1] :
( ~ disjoint(fiber(X0,X3),sK7(X0,X1))
| sP2(X0,X1)
| ~ in(X3,sK7(X0,X1)) )
| ~ spl15_55 ),
inference(avatar_component_clause,[],[f440]) ).
fof(f1051,plain,
( ! [X0] :
( disjoint(fiber(sK4,sK8(sK4,X0)),X0)
| ~ subset(X0,relation_field(sK4))
| sK11 = X0 )
| ~ spl15_142 ),
inference(avatar_component_clause,[],[f1050]) ).
fof(f1112,plain,
( spl15_151
| ~ spl15_92
| ~ spl15_114 ),
inference(avatar_split_clause,[],[f953,f793,f677,f1110]) ).
fof(f1110,plain,
( spl15_151
<=> ! [X0,X1] :
( ~ subset(sK7(X0,X1),relation_field(sK4))
| sK7(X0,X1) = sK11
| element(sK8(sK4,sK7(X0,X1)),X1)
| sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_151])]) ).
fof(f793,plain,
( spl15_114
<=> ! [X2,X0,X1] :
( ~ in(X0,sK7(X1,X2))
| element(X0,X2)
| sP2(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_114])]) ).
fof(f953,plain,
( ! [X0,X1] :
( ~ subset(sK7(X0,X1),relation_field(sK4))
| sK7(X0,X1) = sK11
| element(sK8(sK4,sK7(X0,X1)),X1)
| sP2(X0,X1) )
| ~ spl15_92
| ~ spl15_114 ),
inference(resolution,[],[f678,f794]) ).
fof(f794,plain,
( ! [X2,X0,X1] :
( ~ in(X0,sK7(X1,X2))
| element(X0,X2)
| sP2(X1,X2) )
| ~ spl15_114 ),
inference(avatar_component_clause,[],[f793]) ).
fof(f1098,plain,
( spl15_43
| ~ spl15_34
| spl15_150 ),
inference(avatar_split_clause,[],[f1096,f1092,f318,f373]) ).
fof(f318,plain,
( spl15_34
<=> ! [X0] :
( sP0(X0)
| subset(sK5(X0),relation_field(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_34])]) ).
fof(f1096,plain,
( sP0(sK4)
| ~ spl15_34
| spl15_150 ),
inference(resolution,[],[f1094,f319]) ).
fof(f319,plain,
( ! [X0] :
( subset(sK5(X0),relation_field(X0))
| sP0(X0) )
| ~ spl15_34 ),
inference(avatar_component_clause,[],[f318]) ).
fof(f1094,plain,
( ~ subset(sK5(sK4),relation_field(sK4))
| spl15_150 ),
inference(avatar_component_clause,[],[f1092]) ).
fof(f1095,plain,
( ~ spl15_148
| spl15_43
| spl15_149
| ~ spl15_150
| ~ spl15_49
| ~ spl15_142 ),
inference(avatar_split_clause,[],[f1053,f1050,f410,f1092,f1088,f373,f1084]) ).
fof(f410,plain,
( spl15_49
<=> ! [X2,X0] :
( sP0(X0)
| ~ disjoint(fiber(X0,X2),sK5(X0))
| ~ in(X2,sK5(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_49])]) ).
fof(f1053,plain,
( ~ subset(sK5(sK4),relation_field(sK4))
| sK11 = sK5(sK4)
| sP0(sK4)
| ~ in(sK8(sK4,sK5(sK4)),sK5(sK4))
| ~ spl15_49
| ~ spl15_142 ),
inference(resolution,[],[f1051,f411]) ).
fof(f411,plain,
( ! [X2,X0] :
( ~ disjoint(fiber(X0,X2),sK5(X0))
| sP0(X0)
| ~ in(X2,sK5(X0)) )
| ~ spl15_49 ),
inference(avatar_component_clause,[],[f410]) ).
fof(f1082,plain,
( spl15_147
| ~ spl15_84
| ~ spl15_92 ),
inference(avatar_split_clause,[],[f955,f677,f615,f1080]) ).
fof(f1080,plain,
( spl15_147
<=> ! [X0] :
( ~ subset(sK9(powerset(X0)),relation_field(sK4))
| sK11 = sK9(powerset(X0))
| element(sK8(sK4,sK9(powerset(X0))),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_147])]) ).
fof(f615,plain,
( spl15_84
<=> ! [X0,X1] :
( element(X0,X1)
| ~ in(X0,sK9(powerset(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_84])]) ).
fof(f955,plain,
( ! [X0] :
( ~ subset(sK9(powerset(X0)),relation_field(sK4))
| sK11 = sK9(powerset(X0))
| element(sK8(sK4,sK9(powerset(X0))),X0) )
| ~ spl15_84
| ~ spl15_92 ),
inference(resolution,[],[f678,f616]) ).
fof(f616,plain,
( ! [X0,X1] :
( ~ in(X0,sK9(powerset(X1)))
| element(X0,X1) )
| ~ spl15_84 ),
inference(avatar_component_clause,[],[f615]) ).
fof(f1078,plain,
( spl15_146
| ~ spl15_92
| ~ spl15_112 ),
inference(avatar_split_clause,[],[f949,f776,f677,f1076]) ).
fof(f1076,plain,
( spl15_146
<=> ! [X0] :
( ~ subset(sK5(X0),relation_field(sK4))
| sK5(X0) = sK11
| element(sK8(sK4,sK5(X0)),relation_field(X0))
| sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_146])]) ).
fof(f776,plain,
( spl15_112
<=> ! [X0,X1] :
( ~ in(X0,sK5(X1))
| element(X0,relation_field(X1))
| sP0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_112])]) ).
fof(f949,plain,
( ! [X0] :
( ~ subset(sK5(X0),relation_field(sK4))
| sK5(X0) = sK11
| element(sK8(sK4,sK5(X0)),relation_field(X0))
| sP0(X0) )
| ~ spl15_92
| ~ spl15_112 ),
inference(resolution,[],[f678,f777]) ).
fof(f777,plain,
( ! [X0,X1] :
( ~ in(X0,sK5(X1))
| element(X0,relation_field(X1))
| sP0(X1) )
| ~ spl15_112 ),
inference(avatar_component_clause,[],[f776]) ).
fof(f1071,plain,
( spl15_145
| ~ spl15_30
| ~ spl15_142 ),
inference(avatar_split_clause,[],[f1055,f1050,f296,f1069]) ).
fof(f1069,plain,
( spl15_145
<=> ! [X0] :
( ~ subset(X0,relation_field(sK4))
| sK11 = X0
| disjoint(X0,fiber(sK4,sK8(sK4,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_145])]) ).
fof(f296,plain,
( spl15_30
<=> ! [X0,X1] :
( disjoint(X1,X0)
| ~ disjoint(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_30])]) ).
fof(f1055,plain,
( ! [X0] :
( ~ subset(X0,relation_field(sK4))
| sK11 = X0
| disjoint(X0,fiber(sK4,sK8(sK4,X0))) )
| ~ spl15_30
| ~ spl15_142 ),
inference(resolution,[],[f1051,f297]) ).
fof(f297,plain,
( ! [X0,X1] :
( ~ disjoint(X0,X1)
| disjoint(X1,X0) )
| ~ spl15_30 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f1067,plain,
( spl15_144
| ~ spl15_92
| ~ spl15_108 ),
inference(avatar_split_clause,[],[f950,f758,f677,f1065]) ).
fof(f1065,plain,
( spl15_144
<=> ! [X0] :
( ~ subset(sK5(X0),relation_field(sK4))
| sK5(X0) = sK11
| ~ empty(relation_field(X0))
| sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_144])]) ).
fof(f758,plain,
( spl15_108
<=> ! [X0,X1] :
( ~ in(X0,sK5(X1))
| ~ empty(relation_field(X1))
| sP0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_108])]) ).
fof(f950,plain,
( ! [X0] :
( ~ subset(sK5(X0),relation_field(sK4))
| sK5(X0) = sK11
| ~ empty(relation_field(X0))
| sP0(X0) )
| ~ spl15_92
| ~ spl15_108 ),
inference(resolution,[],[f678,f759]) ).
fof(f759,plain,
( ! [X0,X1] :
( ~ in(X0,sK5(X1))
| ~ empty(relation_field(X1))
| sP0(X1) )
| ~ spl15_108 ),
inference(avatar_component_clause,[],[f758]) ).
fof(f1059,plain,
( spl15_143
| ~ spl15_31
| ~ spl15_92 ),
inference(avatar_split_clause,[],[f947,f677,f300,f1057]) ).
fof(f1057,plain,
( spl15_143
<=> ! [X0] :
( ~ subset(X0,relation_field(sK4))
| sK11 = X0
| ~ in(X0,sK8(sK4,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_143])]) ).
fof(f300,plain,
( spl15_31
<=> ! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_31])]) ).
fof(f947,plain,
( ! [X0] :
( ~ subset(X0,relation_field(sK4))
| sK11 = X0
| ~ in(X0,sK8(sK4,X0)) )
| ~ spl15_31
| ~ spl15_92 ),
inference(resolution,[],[f678,f301]) ).
fof(f301,plain,
( ! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) )
| ~ spl15_31 ),
inference(avatar_component_clause,[],[f300]) ).
fof(f1052,plain,
( spl15_142
| ~ spl15_54
| ~ spl15_59 ),
inference(avatar_split_clause,[],[f511,f458,f435,f1050]) ).
fof(f435,plain,
( spl15_54
<=> sP2(sK4,relation_field(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_54])]) ).
fof(f458,plain,
( spl15_59
<=> ! [X4,X0,X1] :
( sK11 = X4
| disjoint(fiber(X0,sK8(X0,X4)),X4)
| ~ subset(X4,X1)
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_59])]) ).
fof(f511,plain,
( ! [X0] :
( disjoint(fiber(sK4,sK8(sK4,X0)),X0)
| ~ subset(X0,relation_field(sK4))
| sK11 = X0 )
| ~ spl15_54
| ~ spl15_59 ),
inference(resolution,[],[f437,f459]) ).
fof(f459,plain,
( ! [X0,X1,X4] :
( ~ sP2(X0,X1)
| disjoint(fiber(X0,sK8(X0,X4)),X4)
| ~ subset(X4,X1)
| sK11 = X4 )
| ~ spl15_59 ),
inference(avatar_component_clause,[],[f458]) ).
fof(f437,plain,
( sP2(sK4,relation_field(sK4))
| ~ spl15_54 ),
inference(avatar_component_clause,[],[f435]) ).
fof(f1032,plain,
( ~ spl15_2
| ~ spl15_3 ),
inference(avatar_split_clause,[],[f100,f159,f155]) ).
fof(f155,plain,
( spl15_2
<=> well_founded_relation(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).
fof(f159,plain,
( spl15_3
<=> is_well_founded_in(sK4,relation_field(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_3])]) ).
fof(f100,plain,
( ~ is_well_founded_in(sK4,relation_field(sK4))
| ~ well_founded_relation(sK4) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
( ( ~ is_well_founded_in(sK4,relation_field(sK4))
| ~ well_founded_relation(sK4) )
& ( is_well_founded_in(sK4,relation_field(sK4))
| well_founded_relation(sK4) )
& relation(sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f70,f71]) ).
fof(f71,plain,
( ? [X0] :
( ( ~ is_well_founded_in(X0,relation_field(X0))
| ~ well_founded_relation(X0) )
& ( is_well_founded_in(X0,relation_field(X0))
| well_founded_relation(X0) )
& relation(X0) )
=> ( ( ~ is_well_founded_in(sK4,relation_field(sK4))
| ~ well_founded_relation(sK4) )
& ( is_well_founded_in(sK4,relation_field(sK4))
| well_founded_relation(sK4) )
& relation(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
? [X0] :
( ( ~ is_well_founded_in(X0,relation_field(X0))
| ~ well_founded_relation(X0) )
& ( is_well_founded_in(X0,relation_field(X0))
| well_founded_relation(X0) )
& relation(X0) ),
inference(flattening,[],[f69]) ).
fof(f69,plain,
? [X0] :
( ( ~ is_well_founded_in(X0,relation_field(X0))
| ~ well_founded_relation(X0) )
& ( is_well_founded_in(X0,relation_field(X0))
| well_founded_relation(X0) )
& relation(X0) ),
inference(nnf_transformation,[],[f43]) ).
fof(f43,plain,
? [X0] :
( ( well_founded_relation(X0)
<~> is_well_founded_in(X0,relation_field(X0)) )
& relation(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> ( well_founded_relation(X0)
<=> is_well_founded_in(X0,relation_field(X0)) ) ),
inference(negated_conjecture,[],[f34]) ).
fof(f34,conjecture,
! [X0] :
( relation(X0)
=> ( well_founded_relation(X0)
<=> is_well_founded_in(X0,relation_field(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_wellord1) ).
fof(f1030,plain,
( spl15_54
| ~ spl15_45
| ~ spl15_132 ),
inference(avatar_split_clause,[],[f987,f937,f383,f435]) ).
fof(f383,plain,
( spl15_45
<=> ! [X0,X1] :
( sK7(X0,X1) != sK11
| sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_45])]) ).
fof(f937,plain,
( spl15_132
<=> sK11 = sK7(sK4,relation_field(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_132])]) ).
fof(f987,plain,
( sP2(sK4,relation_field(sK4))
| ~ spl15_45
| ~ spl15_132 ),
inference(trivial_inequality_removal,[],[f980]) ).
fof(f980,plain,
( sK11 != sK11
| sP2(sK4,relation_field(sK4))
| ~ spl15_45
| ~ spl15_132 ),
inference(superposition,[],[f384,f939]) ).
fof(f939,plain,
( sK11 = sK7(sK4,relation_field(sK4))
| ~ spl15_132 ),
inference(avatar_component_clause,[],[f937]) ).
fof(f384,plain,
( ! [X0,X1] :
( sK7(X0,X1) != sK11
| sP2(X0,X1) )
| ~ spl15_45 ),
inference(avatar_component_clause,[],[f383]) ).
fof(f1022,plain,
( spl15_141
| ~ spl15_78
| ~ spl15_119 ),
inference(avatar_split_clause,[],[f829,f821,f583,f1020]) ).
fof(f1020,plain,
( spl15_141
<=> ! [X0,X1] :
( ~ sP0(X0)
| powerset(X1) = sK11
| element(sK9(sK6(X0,powerset(X1))),X1)
| ~ subset(powerset(X1),relation_field(X0))
| empty(sK6(X0,powerset(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_141])]) ).
fof(f583,plain,
( spl15_78
<=> ! [X0] :
( empty(X0)
| in(sK9(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_78])]) ).
fof(f829,plain,
( ! [X0,X1] :
( ~ sP0(X0)
| powerset(X1) = sK11
| element(sK9(sK6(X0,powerset(X1))),X1)
| ~ subset(powerset(X1),relation_field(X0))
| empty(sK6(X0,powerset(X1))) )
| ~ spl15_78
| ~ spl15_119 ),
inference(resolution,[],[f822,f584]) ).
fof(f584,plain,
( ! [X0] :
( in(sK9(X0),X0)
| empty(X0) )
| ~ spl15_78 ),
inference(avatar_component_clause,[],[f583]) ).
fof(f1018,plain,
( spl15_140
| ~ spl15_36
| ~ spl15_118 ),
inference(avatar_split_clause,[],[f826,f817,f326,f1016]) ).
fof(f1016,plain,
( spl15_140
<=> ! [X0,X1] :
( sK11 = sK9(powerset(powerset(X0)))
| ~ subset(sK9(powerset(powerset(X0))),relation_field(X1))
| ~ sP0(X1)
| subset(sK6(X1,sK9(powerset(powerset(X0)))),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_140])]) ).
fof(f326,plain,
( spl15_36
<=> ! [X0,X1] :
( subset(X0,X1)
| ~ element(X0,powerset(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_36])]) ).
fof(f826,plain,
( ! [X0,X1] :
( sK11 = sK9(powerset(powerset(X0)))
| ~ subset(sK9(powerset(powerset(X0))),relation_field(X1))
| ~ sP0(X1)
| subset(sK6(X1,sK9(powerset(powerset(X0)))),X0) )
| ~ spl15_36
| ~ spl15_118 ),
inference(resolution,[],[f818,f327]) ).
fof(f327,plain,
( ! [X0,X1] :
( ~ element(X0,powerset(X1))
| subset(X0,X1) )
| ~ spl15_36 ),
inference(avatar_component_clause,[],[f326]) ).
fof(f1014,plain,
( spl15_139
| ~ spl15_52
| ~ spl15_114 ),
inference(avatar_split_clause,[],[f796,f793,f424,f1012]) ).
fof(f1012,plain,
( spl15_139
<=> ! [X2,X0,X1] :
( element(sK6(X0,sK7(X1,X2)),X2)
| sP2(X1,X2)
| sK11 = sK7(X1,X2)
| ~ subset(sK7(X1,X2),relation_field(X0))
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_139])]) ).
fof(f796,plain,
( ! [X2,X0,X1] :
( element(sK6(X0,sK7(X1,X2)),X2)
| sP2(X1,X2)
| sK11 = sK7(X1,X2)
| ~ subset(sK7(X1,X2),relation_field(X0))
| ~ sP0(X0) )
| ~ spl15_52
| ~ spl15_114 ),
inference(resolution,[],[f794,f425]) ).
fof(f996,plain,
( spl15_138
| ~ spl15_44
| ~ spl15_118 ),
inference(avatar_split_clause,[],[f827,f817,f378,f994]) ).
fof(f994,plain,
( spl15_138
<=> ! [X0,X1] :
( sK11 = sK9(powerset(X0))
| ~ subset(sK9(powerset(X0)),relation_field(X1))
| ~ sP0(X1)
| empty(X0)
| in(sK6(X1,sK9(powerset(X0))),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_138])]) ).
fof(f378,plain,
( spl15_44
<=> ! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_44])]) ).
fof(f827,plain,
( ! [X0,X1] :
( sK11 = sK9(powerset(X0))
| ~ subset(sK9(powerset(X0)),relation_field(X1))
| ~ sP0(X1)
| empty(X0)
| in(sK6(X1,sK9(powerset(X0))),X0) )
| ~ spl15_44
| ~ spl15_118 ),
inference(resolution,[],[f818,f379]) ).
fof(f379,plain,
( ! [X0,X1] :
( ~ element(X0,X1)
| empty(X1)
| in(X0,X1) )
| ~ spl15_44 ),
inference(avatar_component_clause,[],[f378]) ).
fof(f991,plain,
( spl15_137
| ~ spl15_52
| ~ spl15_112 ),
inference(avatar_split_clause,[],[f789,f776,f424,f989]) ).
fof(f989,plain,
( spl15_137
<=> ! [X0,X1] :
( element(sK6(X0,sK5(X1)),relation_field(X1))
| sP0(X1)
| sK11 = sK5(X1)
| ~ subset(sK5(X1),relation_field(X0))
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_137])]) ).
fof(f789,plain,
( ! [X0,X1] :
( element(sK6(X0,sK5(X1)),relation_field(X1))
| sP0(X1)
| sK11 = sK5(X1)
| ~ subset(sK5(X1),relation_field(X0))
| ~ sP0(X0) )
| ~ spl15_52
| ~ spl15_112 ),
inference(resolution,[],[f777,f425]) ).
fof(f978,plain,
( spl15_136
| ~ spl15_78
| ~ spl15_117 ),
inference(avatar_split_clause,[],[f815,f811,f583,f976]) ).
fof(f976,plain,
( spl15_136
<=> ! [X0,X1] :
( ~ sP0(X0)
| powerset(X1) = sK11
| ~ empty(X1)
| ~ subset(powerset(X1),relation_field(X0))
| empty(sK6(X0,powerset(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_136])]) ).
fof(f815,plain,
( ! [X0,X1] :
( ~ sP0(X0)
| powerset(X1) = sK11
| ~ empty(X1)
| ~ subset(powerset(X1),relation_field(X0))
| empty(sK6(X0,powerset(X1))) )
| ~ spl15_78
| ~ spl15_117 ),
inference(resolution,[],[f812,f584]) ).
fof(f972,plain,
( spl15_135
| ~ spl15_52
| ~ spl15_108 ),
inference(avatar_split_clause,[],[f761,f758,f424,f970]) ).
fof(f970,plain,
( spl15_135
<=> ! [X0,X1] :
( ~ empty(relation_field(X0))
| sP0(X0)
| sK5(X0) = sK11
| ~ subset(sK5(X0),relation_field(X1))
| ~ sP0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_135])]) ).
fof(f761,plain,
( ! [X0,X1] :
( ~ empty(relation_field(X0))
| sP0(X0)
| sK5(X0) = sK11
| ~ subset(sK5(X0),relation_field(X1))
| ~ sP0(X1) )
| ~ spl15_52
| ~ spl15_108 ),
inference(resolution,[],[f759,f425]) ).
fof(f965,plain,
( spl15_134
| ~ spl15_48
| ~ spl15_110 ),
inference(avatar_split_clause,[],[f785,f768,f399,f963]) ).
fof(f963,plain,
( spl15_134
<=> ! [X0,X1] :
( empty(sK9(powerset(powerset(X0))))
| element(X1,X0)
| ~ in(X1,sK9(sK9(powerset(powerset(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_134])]) ).
fof(f768,plain,
( spl15_110
<=> ! [X0] :
( element(sK9(sK9(powerset(X0))),X0)
| empty(sK9(powerset(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_110])]) ).
fof(f785,plain,
( ! [X0,X1] :
( empty(sK9(powerset(powerset(X0))))
| element(X1,X0)
| ~ in(X1,sK9(sK9(powerset(powerset(X0))))) )
| ~ spl15_48
| ~ spl15_110 ),
inference(resolution,[],[f769,f400]) ).
fof(f769,plain,
( ! [X0] :
( element(sK9(sK9(powerset(X0))),X0)
| empty(sK9(powerset(X0))) )
| ~ spl15_110 ),
inference(avatar_component_clause,[],[f768]) ).
fof(f961,plain,
( spl15_133
| ~ spl15_32
| ~ spl15_92 ),
inference(avatar_split_clause,[],[f946,f677,f304,f959]) ).
fof(f959,plain,
( spl15_133
<=> ! [X0] :
( ~ subset(X0,relation_field(sK4))
| sK11 = X0
| element(sK8(sK4,X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_133])]) ).
fof(f304,plain,
( spl15_32
<=> ! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_32])]) ).
fof(f946,plain,
( ! [X0] :
( ~ subset(X0,relation_field(sK4))
| sK11 = X0
| element(sK8(sK4,X0),X0) )
| ~ spl15_32
| ~ spl15_92 ),
inference(resolution,[],[f678,f305]) ).
fof(f305,plain,
( ! [X0,X1] :
( ~ in(X0,X1)
| element(X0,X1) )
| ~ spl15_32 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f944,plain,
( ~ spl15_25
| spl15_3
| ~ spl15_40
| ~ spl15_54 ),
inference(avatar_split_clause,[],[f513,f435,f360,f159,f274]) ).
fof(f274,plain,
( spl15_25
<=> sP3(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_25])]) ).
fof(f360,plain,
( spl15_40
<=> ! [X0,X1] :
( is_well_founded_in(X0,X1)
| ~ sP2(X0,X1)
| ~ sP3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_40])]) ).
fof(f513,plain,
( is_well_founded_in(sK4,relation_field(sK4))
| ~ sP3(sK4)
| ~ spl15_40
| ~ spl15_54 ),
inference(resolution,[],[f437,f361]) ).
fof(f361,plain,
( ! [X0,X1] :
( ~ sP2(X0,X1)
| is_well_founded_in(X0,X1)
| ~ sP3(X0) )
| ~ spl15_40 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f940,plain,
( spl15_132
| ~ spl15_43
| spl15_54
| ~ spl15_128 ),
inference(avatar_split_clause,[],[f915,f894,f435,f373,f937]) ).
fof(f894,plain,
( spl15_128
<=> ! [X0] :
( ~ sP0(X0)
| sP2(X0,relation_field(X0))
| sK11 = sK7(X0,relation_field(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_128])]) ).
fof(f915,plain,
( ~ sP0(sK4)
| sK11 = sK7(sK4,relation_field(sK4))
| spl15_54
| ~ spl15_128 ),
inference(resolution,[],[f895,f436]) ).
fof(f436,plain,
( ~ sP2(sK4,relation_field(sK4))
| spl15_54 ),
inference(avatar_component_clause,[],[f435]) ).
fof(f895,plain,
( ! [X0] :
( sP2(X0,relation_field(X0))
| ~ sP0(X0)
| sK11 = sK7(X0,relation_field(X0)) )
| ~ spl15_128 ),
inference(avatar_component_clause,[],[f894]) ).
fof(f931,plain,
( spl15_131
| ~ spl15_86
| ~ spl15_113 ),
inference(avatar_split_clause,[],[f791,f780,f639,f929]) ).
fof(f929,plain,
( spl15_131
<=> ! [X0,X1] :
( ~ subset(powerset(X0),X1)
| empty(powerset(X1))
| empty(powerset(X0))
| ~ subset(powerset(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_131])]) ).
fof(f639,plain,
( spl15_86
<=> ! [X0,X1] :
( empty(powerset(X0))
| in(X1,powerset(X0))
| ~ subset(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_86])]) ).
fof(f780,plain,
( spl15_113
<=> ! [X0,X1] :
( empty(powerset(X0))
| ~ subset(X1,X0)
| ~ in(powerset(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_113])]) ).
fof(f791,plain,
( ! [X0,X1] :
( ~ subset(powerset(X0),X1)
| empty(powerset(X1))
| empty(powerset(X0))
| ~ subset(powerset(X1),X0) )
| ~ spl15_86
| ~ spl15_113 ),
inference(resolution,[],[f781,f640]) ).
fof(f640,plain,
( ! [X0,X1] :
( in(X1,powerset(X0))
| empty(powerset(X0))
| ~ subset(X1,X0) )
| ~ spl15_86 ),
inference(avatar_component_clause,[],[f639]) ).
fof(f781,plain,
( ! [X0,X1] :
( ~ in(powerset(X0),X1)
| ~ subset(X1,X0)
| empty(powerset(X0)) )
| ~ spl15_113 ),
inference(avatar_component_clause,[],[f780]) ).
fof(f927,plain,
( spl15_130
| ~ spl15_46
| ~ spl15_110 ),
inference(avatar_split_clause,[],[f786,f768,f389,f925]) ).
fof(f925,plain,
( spl15_130
<=> ! [X0,X1] :
( empty(sK9(powerset(powerset(X0))))
| ~ empty(X0)
| ~ in(X1,sK9(sK9(powerset(powerset(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_130])]) ).
fof(f786,plain,
( ! [X0,X1] :
( empty(sK9(powerset(powerset(X0))))
| ~ empty(X0)
| ~ in(X1,sK9(sK9(powerset(powerset(X0))))) )
| ~ spl15_46
| ~ spl15_110 ),
inference(resolution,[],[f769,f390]) ).
fof(f919,plain,
( spl15_129
| ~ spl15_78
| ~ spl15_114 ),
inference(avatar_split_clause,[],[f797,f793,f583,f917]) ).
fof(f917,plain,
( spl15_129
<=> ! [X0,X1] :
( element(sK9(sK7(X0,X1)),X1)
| sP2(X0,X1)
| empty(sK7(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_129])]) ).
fof(f797,plain,
( ! [X0,X1] :
( element(sK9(sK7(X0,X1)),X1)
| sP2(X0,X1)
| empty(sK7(X0,X1)) )
| ~ spl15_78
| ~ spl15_114 ),
inference(resolution,[],[f794,f584]) ).
fof(f896,plain,
( spl15_128
| ~ spl15_41
| ~ spl15_115 ),
inference(avatar_split_clause,[],[f803,f799,f364,f894]) ).
fof(f364,plain,
( spl15_41
<=> ! [X0,X1] :
( sP2(X0,X1)
| subset(sK7(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_41])]) ).
fof(f799,plain,
( spl15_115
<=> ! [X0,X1] :
( ~ subset(sK7(X0,X1),relation_field(X0))
| ~ sP0(X0)
| sP2(X0,X1)
| sK7(X0,X1) = sK11 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_115])]) ).
fof(f803,plain,
( ! [X0] :
( ~ sP0(X0)
| sP2(X0,relation_field(X0))
| sK11 = sK7(X0,relation_field(X0)) )
| ~ spl15_41
| ~ spl15_115 ),
inference(duplicate_literal_removal,[],[f802]) ).
fof(f802,plain,
( ! [X0] :
( ~ sP0(X0)
| sP2(X0,relation_field(X0))
| sK11 = sK7(X0,relation_field(X0))
| sP2(X0,relation_field(X0)) )
| ~ spl15_41
| ~ spl15_115 ),
inference(resolution,[],[f800,f365]) ).
fof(f365,plain,
( ! [X0,X1] :
( subset(sK7(X0,X1),X1)
| sP2(X0,X1) )
| ~ spl15_41 ),
inference(avatar_component_clause,[],[f364]) ).
fof(f800,plain,
( ! [X0,X1] :
( ~ subset(sK7(X0,X1),relation_field(X0))
| ~ sP0(X0)
| sP2(X0,X1)
| sK7(X0,X1) = sK11 )
| ~ spl15_115 ),
inference(avatar_component_clause,[],[f799]) ).
fof(f882,plain,
( spl15_127
| ~ spl15_44
| ~ spl15_110 ),
inference(avatar_split_clause,[],[f788,f768,f378,f880]) ).
fof(f880,plain,
( spl15_127
<=> ! [X0] :
( empty(sK9(powerset(X0)))
| empty(X0)
| in(sK9(sK9(powerset(X0))),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_127])]) ).
fof(f788,plain,
( ! [X0] :
( empty(sK9(powerset(X0)))
| empty(X0)
| in(sK9(sK9(powerset(X0))),X0) )
| ~ spl15_44
| ~ spl15_110 ),
inference(resolution,[],[f769,f379]) ).
fof(f878,plain,
( spl15_126
| ~ spl15_36
| ~ spl15_110 ),
inference(avatar_split_clause,[],[f787,f768,f326,f876]) ).
fof(f876,plain,
( spl15_126
<=> ! [X0] :
( empty(sK9(powerset(powerset(X0))))
| subset(sK9(sK9(powerset(powerset(X0)))),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_126])]) ).
fof(f787,plain,
( ! [X0] :
( empty(sK9(powerset(powerset(X0))))
| subset(sK9(sK9(powerset(powerset(X0)))),X0) )
| ~ spl15_36
| ~ spl15_110 ),
inference(resolution,[],[f769,f327]) ).
fof(f873,plain,
( spl15_125
| ~ spl15_78
| ~ spl15_112 ),
inference(avatar_split_clause,[],[f790,f776,f583,f871]) ).
fof(f871,plain,
( spl15_125
<=> ! [X0] :
( element(sK9(sK5(X0)),relation_field(X0))
| sP0(X0)
| empty(sK5(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_125])]) ).
fof(f790,plain,
( ! [X0] :
( element(sK9(sK5(X0)),relation_field(X0))
| sP0(X0)
| empty(sK5(X0)) )
| ~ spl15_78
| ~ spl15_112 ),
inference(resolution,[],[f777,f584]) ).
fof(f856,plain,
( spl15_124
| ~ spl15_78
| ~ spl15_109 ),
inference(avatar_split_clause,[],[f784,f764,f583,f854]) ).
fof(f854,plain,
( spl15_124
<=> ! [X0,X1] :
( ~ empty(X0)
| sP2(X1,X0)
| empty(sK7(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_124])]) ).
fof(f764,plain,
( spl15_109
<=> ! [X2,X0,X1] :
( ~ in(X0,sK7(X1,X2))
| ~ empty(X2)
| sP2(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_109])]) ).
fof(f784,plain,
( ! [X0,X1] :
( ~ empty(X0)
| sP2(X1,X0)
| empty(sK7(X1,X0)) )
| ~ spl15_78
| ~ spl15_109 ),
inference(resolution,[],[f765,f584]) ).
fof(f765,plain,
( ! [X2,X0,X1] :
( ~ in(X0,sK7(X1,X2))
| ~ empty(X2)
| sP2(X1,X2) )
| ~ spl15_109 ),
inference(avatar_component_clause,[],[f764]) ).
fof(f852,plain,
( spl15_123
| ~ spl15_38
| ~ spl15_101 ),
inference(avatar_split_clause,[],[f753,f722,f334,f850]) ).
fof(f850,plain,
( spl15_123
<=> ! [X0,X1] :
( ~ empty(X0)
| sK9(powerset(X0)) = X1
| ~ empty(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_123])]) ).
fof(f334,plain,
( spl15_38
<=> ! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_38])]) ).
fof(f722,plain,
( spl15_101
<=> ! [X0] :
( ~ empty(X0)
| empty(sK9(powerset(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_101])]) ).
fof(f753,plain,
( ! [X0,X1] :
( ~ empty(X0)
| sK9(powerset(X0)) = X1
| ~ empty(X1) )
| ~ spl15_38
| ~ spl15_101 ),
inference(resolution,[],[f723,f335]) ).
fof(f335,plain,
( ! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) )
| ~ spl15_38 ),
inference(avatar_component_clause,[],[f334]) ).
fof(f723,plain,
( ! [X0] :
( empty(sK9(powerset(X0)))
| ~ empty(X0) )
| ~ spl15_101 ),
inference(avatar_component_clause,[],[f722]) ).
fof(f848,plain,
( spl15_122
| ~ spl15_78
| ~ spl15_108 ),
inference(avatar_split_clause,[],[f762,f758,f583,f846]) ).
fof(f846,plain,
( spl15_122
<=> ! [X0] :
( ~ empty(relation_field(X0))
| sP0(X0)
| empty(sK5(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_122])]) ).
fof(f762,plain,
( ! [X0] :
( ~ empty(relation_field(X0))
| sP0(X0)
| empty(sK5(X0)) )
| ~ spl15_78
| ~ spl15_108 ),
inference(resolution,[],[f759,f584]) ).
fof(f844,plain,
( spl15_121
| ~ spl15_4
| ~ spl15_73
| ~ spl15_120 ),
inference(avatar_split_clause,[],[f838,f831,f545,f164,f841]) ).
fof(f841,plain,
( spl15_121
<=> sK11 = sK9(powerset(sK11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_121])]) ).
fof(f164,plain,
( spl15_4
<=> empty(empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_4])]) ).
fof(f545,plain,
( spl15_73
<=> empty_set = sK11 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_73])]) ).
fof(f831,plain,
( spl15_120
<=> ! [X0] :
( ~ empty(X0)
| sK11 = sK9(powerset(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_120])]) ).
fof(f838,plain,
( sK11 = sK9(powerset(sK11))
| ~ spl15_4
| ~ spl15_73
| ~ spl15_120 ),
inference(forward_demodulation,[],[f834,f547]) ).
fof(f547,plain,
( empty_set = sK11
| ~ spl15_73 ),
inference(avatar_component_clause,[],[f545]) ).
fof(f834,plain,
( sK11 = sK9(powerset(empty_set))
| ~ spl15_4
| ~ spl15_120 ),
inference(resolution,[],[f832,f166]) ).
fof(f166,plain,
( empty(empty_set)
| ~ spl15_4 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f832,plain,
( ! [X0] :
( ~ empty(X0)
| sK11 = sK9(powerset(X0)) )
| ~ spl15_120 ),
inference(avatar_component_clause,[],[f831]) ).
fof(f833,plain,
( spl15_120
| ~ spl15_77
| ~ spl15_101 ),
inference(avatar_split_clause,[],[f752,f722,f568,f831]) ).
fof(f568,plain,
( spl15_77
<=> ! [X0] :
( sK11 = X0
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_77])]) ).
fof(f752,plain,
( ! [X0] :
( ~ empty(X0)
| sK11 = sK9(powerset(X0)) )
| ~ spl15_77
| ~ spl15_101 ),
inference(resolution,[],[f723,f569]) ).
fof(f569,plain,
( ! [X0] :
( ~ empty(X0)
| sK11 = X0 )
| ~ spl15_77 ),
inference(avatar_component_clause,[],[f568]) ).
fof(f823,plain,
( spl15_119
| ~ spl15_48
| ~ spl15_88 ),
inference(avatar_split_clause,[],[f658,f651,f399,f821]) ).
fof(f651,plain,
( spl15_88
<=> ! [X0,X1] :
( sK11 = X0
| ~ subset(X0,relation_field(X1))
| ~ sP0(X1)
| element(sK6(X1,X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_88])]) ).
fof(f658,plain,
( ! [X2,X0,X1] :
( ~ subset(powerset(X0),relation_field(X1))
| ~ sP0(X1)
| sK11 = powerset(X0)
| element(X2,X0)
| ~ in(X2,sK6(X1,powerset(X0))) )
| ~ spl15_48
| ~ spl15_88 ),
inference(resolution,[],[f652,f400]) ).
fof(f652,plain,
( ! [X0,X1] :
( element(sK6(X1,X0),X0)
| ~ subset(X0,relation_field(X1))
| ~ sP0(X1)
| sK11 = X0 )
| ~ spl15_88 ),
inference(avatar_component_clause,[],[f651]) ).
fof(f819,plain,
( spl15_118
| ~ spl15_52
| ~ spl15_84 ),
inference(avatar_split_clause,[],[f628,f615,f424,f817]) ).
fof(f628,plain,
( ! [X0,X1] :
( element(sK6(X0,sK9(powerset(X1))),X1)
| sK11 = sK9(powerset(X1))
| ~ subset(sK9(powerset(X1)),relation_field(X0))
| ~ sP0(X0) )
| ~ spl15_52
| ~ spl15_84 ),
inference(resolution,[],[f616,f425]) ).
fof(f813,plain,
( spl15_117
| ~ spl15_46
| ~ spl15_88 ),
inference(avatar_split_clause,[],[f659,f651,f389,f811]) ).
fof(f659,plain,
( ! [X2,X0,X1] :
( ~ subset(powerset(X0),relation_field(X1))
| ~ sP0(X1)
| sK11 = powerset(X0)
| ~ empty(X0)
| ~ in(X2,sK6(X1,powerset(X0))) )
| ~ spl15_46
| ~ spl15_88 ),
inference(resolution,[],[f652,f390]) ).
fof(f807,plain,
( spl15_116
| ~ spl15_36
| ~ spl15_88 ),
inference(avatar_split_clause,[],[f660,f651,f326,f805]) ).
fof(f805,plain,
( spl15_116
<=> ! [X0,X1] :
( ~ subset(powerset(X0),relation_field(X1))
| ~ sP0(X1)
| sK11 = powerset(X0)
| subset(sK6(X1,powerset(X0)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_116])]) ).
fof(f660,plain,
( ! [X0,X1] :
( ~ subset(powerset(X0),relation_field(X1))
| ~ sP0(X1)
| sK11 = powerset(X0)
| subset(sK6(X1,powerset(X0)),X0) )
| ~ spl15_36
| ~ spl15_88 ),
inference(resolution,[],[f652,f327]) ).
fof(f801,plain,
( spl15_115
| ~ spl15_52
| ~ spl15_91 ),
inference(avatar_split_clause,[],[f672,f668,f424,f799]) ).
fof(f668,plain,
( spl15_91
<=> ! [X0,X1] :
( sK7(X0,X1) = sK11
| ~ subset(sK7(X0,X1),relation_field(X0))
| ~ sP0(X0)
| sP2(X0,X1)
| ~ in(sK6(X0,sK7(X0,X1)),sK7(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_91])]) ).
fof(f672,plain,
( ! [X0,X1] :
( ~ subset(sK7(X0,X1),relation_field(X0))
| ~ sP0(X0)
| sP2(X0,X1)
| sK7(X0,X1) = sK11 )
| ~ spl15_52
| ~ spl15_91 ),
inference(duplicate_literal_removal,[],[f671]) ).
fof(f671,plain,
( ! [X0,X1] :
( ~ subset(sK7(X0,X1),relation_field(X0))
| ~ sP0(X0)
| sP2(X0,X1)
| sK7(X0,X1) = sK11
| sK7(X0,X1) = sK11
| ~ subset(sK7(X0,X1),relation_field(X0))
| ~ sP0(X0) )
| ~ spl15_52
| ~ spl15_91 ),
inference(resolution,[],[f669,f425]) ).
fof(f669,plain,
( ! [X0,X1] :
( ~ in(sK6(X0,sK7(X0,X1)),sK7(X0,X1))
| ~ subset(sK7(X0,X1),relation_field(X0))
| ~ sP0(X0)
| sP2(X0,X1)
| sK7(X0,X1) = sK11 )
| ~ spl15_91 ),
inference(avatar_component_clause,[],[f668]) ).
fof(f795,plain,
( spl15_114
| ~ spl15_41
| ~ spl15_85 ),
inference(avatar_split_clause,[],[f636,f631,f364,f793]) ).
fof(f636,plain,
( ! [X2,X0,X1] :
( ~ in(X0,sK7(X1,X2))
| element(X0,X2)
| sP2(X1,X2) )
| ~ spl15_41
| ~ spl15_85 ),
inference(resolution,[],[f632,f365]) ).
fof(f782,plain,
( spl15_113
| ~ spl15_31
| ~ spl15_86 ),
inference(avatar_split_clause,[],[f648,f639,f300,f780]) ).
fof(f648,plain,
( ! [X0,X1] :
( empty(powerset(X0))
| ~ subset(X1,X0)
| ~ in(powerset(X0),X1) )
| ~ spl15_31
| ~ spl15_86 ),
inference(resolution,[],[f640,f301]) ).
fof(f778,plain,
( spl15_112
| ~ spl15_34
| ~ spl15_85 ),
inference(avatar_split_clause,[],[f635,f631,f318,f776]) ).
fof(f635,plain,
( ! [X0,X1] :
( ~ in(X0,sK5(X1))
| element(X0,relation_field(X1))
| sP0(X1) )
| ~ spl15_34
| ~ spl15_85 ),
inference(resolution,[],[f632,f319]) ).
fof(f774,plain,
( spl15_111
| ~ spl15_17
| ~ spl15_101 ),
inference(avatar_split_clause,[],[f755,f722,f226,f772]) ).
fof(f772,plain,
( spl15_111
<=> ! [X0] :
( ~ empty(X0)
| function(sK9(powerset(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_111])]) ).
fof(f226,plain,
( spl15_17
<=> ! [X0] :
( function(X0)
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_17])]) ).
fof(f755,plain,
( ! [X0] :
( ~ empty(X0)
| function(sK9(powerset(X0))) )
| ~ spl15_17
| ~ spl15_101 ),
inference(resolution,[],[f723,f227]) ).
fof(f227,plain,
( ! [X0] :
( ~ empty(X0)
| function(X0) )
| ~ spl15_17 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f770,plain,
( spl15_110
| ~ spl15_78
| ~ spl15_84 ),
inference(avatar_split_clause,[],[f629,f615,f583,f768]) ).
fof(f629,plain,
( ! [X0] :
( element(sK9(sK9(powerset(X0))),X0)
| empty(sK9(powerset(X0))) )
| ~ spl15_78
| ~ spl15_84 ),
inference(resolution,[],[f616,f584]) ).
fof(f766,plain,
( spl15_109
| ~ spl15_41
| ~ spl15_80 ),
inference(avatar_split_clause,[],[f620,f596,f364,f764]) ).
fof(f596,plain,
( spl15_80
<=> ! [X2,X0,X1] :
( ~ empty(X0)
| ~ in(X1,X2)
| ~ subset(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_80])]) ).
fof(f620,plain,
( ! [X2,X0,X1] :
( ~ in(X0,sK7(X1,X2))
| ~ empty(X2)
| sP2(X1,X2) )
| ~ spl15_41
| ~ spl15_80 ),
inference(resolution,[],[f597,f365]) ).
fof(f597,plain,
( ! [X2,X0,X1] :
( ~ subset(X2,X0)
| ~ in(X1,X2)
| ~ empty(X0) )
| ~ spl15_80 ),
inference(avatar_component_clause,[],[f596]) ).
fof(f760,plain,
( spl15_108
| ~ spl15_34
| ~ spl15_80 ),
inference(avatar_split_clause,[],[f619,f596,f318,f758]) ).
fof(f619,plain,
( ! [X0,X1] :
( ~ in(X0,sK5(X1))
| ~ empty(relation_field(X1))
| sP0(X1) )
| ~ spl15_34
| ~ spl15_80 ),
inference(resolution,[],[f597,f319]) ).
fof(f751,plain,
( spl15_106
| ~ spl15_107
| ~ spl15_29
| ~ spl15_83 ),
inference(avatar_split_clause,[],[f626,f610,f292,f748,f744]) ).
fof(f744,plain,
( spl15_106
<=> empty(relation_rng(sK11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_106])]) ).
fof(f748,plain,
( spl15_107
<=> empty(relation_field(sK11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_107])]) ).
fof(f292,plain,
( spl15_29
<=> ! [X0,X1] :
( ~ empty(set_union2(X1,X0))
| empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_29])]) ).
fof(f610,plain,
( spl15_83
<=> relation_field(sK11) = set_union2(relation_dom(sK11),relation_rng(sK11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_83])]) ).
fof(f626,plain,
( ~ empty(relation_field(sK11))
| empty(relation_rng(sK11))
| ~ spl15_29
| ~ spl15_83 ),
inference(superposition,[],[f293,f612]) ).
fof(f612,plain,
( relation_field(sK11) = set_union2(relation_dom(sK11),relation_rng(sK11))
| ~ spl15_83 ),
inference(avatar_component_clause,[],[f610]) ).
fof(f293,plain,
( ! [X0,X1] :
( ~ empty(set_union2(X1,X0))
| empty(X0) )
| ~ spl15_29 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f742,plain,
( spl15_104
| ~ spl15_105
| ~ spl15_29
| ~ spl15_82 ),
inference(avatar_split_clause,[],[f624,f605,f292,f739,f735]) ).
fof(f735,plain,
( spl15_104
<=> empty(relation_rng(sK13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_104])]) ).
fof(f739,plain,
( spl15_105
<=> empty(relation_field(sK13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_105])]) ).
fof(f605,plain,
( spl15_82
<=> relation_field(sK13) = set_union2(relation_dom(sK13),relation_rng(sK13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_82])]) ).
fof(f624,plain,
( ~ empty(relation_field(sK13))
| empty(relation_rng(sK13))
| ~ spl15_29
| ~ spl15_82 ),
inference(superposition,[],[f293,f607]) ).
fof(f607,plain,
( relation_field(sK13) = set_union2(relation_dom(sK13),relation_rng(sK13))
| ~ spl15_82 ),
inference(avatar_component_clause,[],[f605]) ).
fof(f733,plain,
( spl15_102
| ~ spl15_103
| ~ spl15_29
| ~ spl15_81 ),
inference(avatar_split_clause,[],[f622,f600,f292,f730,f726]) ).
fof(f726,plain,
( spl15_102
<=> empty(relation_rng(sK12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_102])]) ).
fof(f730,plain,
( spl15_103
<=> empty(relation_field(sK12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_103])]) ).
fof(f600,plain,
( spl15_81
<=> relation_field(sK12) = set_union2(relation_dom(sK12),relation_rng(sK12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_81])]) ).
fof(f622,plain,
( ~ empty(relation_field(sK12))
| empty(relation_rng(sK12))
| ~ spl15_29
| ~ spl15_81 ),
inference(superposition,[],[f293,f602]) ).
fof(f602,plain,
( relation_field(sK12) = set_union2(relation_dom(sK12),relation_rng(sK12))
| ~ spl15_81 ),
inference(avatar_component_clause,[],[f600]) ).
fof(f724,plain,
( spl15_101
| ~ spl15_78
| ~ spl15_79 ),
inference(avatar_split_clause,[],[f594,f590,f583,f722]) ).
fof(f590,plain,
( spl15_79
<=> ! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK9(powerset(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_79])]) ).
fof(f594,plain,
( ! [X0] :
( ~ empty(X0)
| empty(sK9(powerset(X0))) )
| ~ spl15_78
| ~ spl15_79 ),
inference(resolution,[],[f591,f584]) ).
fof(f591,plain,
( ! [X0,X1] :
( ~ in(X1,sK9(powerset(X0)))
| ~ empty(X0) )
| ~ spl15_79 ),
inference(avatar_component_clause,[],[f590]) ).
fof(f720,plain,
( spl15_100
| ~ spl15_31
| ~ spl15_78 ),
inference(avatar_split_clause,[],[f587,f583,f300,f718]) ).
fof(f718,plain,
( spl15_100
<=> ! [X0] :
( empty(X0)
| ~ in(X0,sK9(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_100])]) ).
fof(f587,plain,
( ! [X0] :
( empty(X0)
| ~ in(X0,sK9(X0)) )
| ~ spl15_31
| ~ spl15_78 ),
inference(resolution,[],[f584,f301]) ).
fof(f710,plain,
( spl15_99
| ~ spl15_20
| ~ spl15_73 ),
inference(avatar_split_clause,[],[f554,f545,f250,f708]) ).
fof(f708,plain,
( spl15_99
<=> ! [X0] : set_union2(X0,sK11) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_99])]) ).
fof(f250,plain,
( spl15_20
<=> ! [X0] : set_union2(X0,empty_set) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_20])]) ).
fof(f554,plain,
( ! [X0] : set_union2(X0,sK11) = X0
| ~ spl15_20
| ~ spl15_73 ),
inference(superposition,[],[f251,f547]) ).
fof(f251,plain,
( ! [X0] : set_union2(X0,empty_set) = X0
| ~ spl15_20 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f706,plain,
( spl15_97
| ~ spl15_98
| ~ spl15_26
| ~ spl15_69 ),
inference(avatar_split_clause,[],[f542,f524,f279,f703,f699]) ).
fof(f699,plain,
( spl15_97
<=> well_founded_relation(sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_97])]) ).
fof(f703,plain,
( spl15_98
<=> sP0(sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_98])]) ).
fof(f279,plain,
( spl15_26
<=> ! [X0] :
( well_founded_relation(X0)
| ~ sP0(X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_26])]) ).
fof(f524,plain,
( spl15_69
<=> sP1(sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_69])]) ).
fof(f542,plain,
( ~ sP0(sK11)
| well_founded_relation(sK11)
| ~ spl15_26
| ~ spl15_69 ),
inference(resolution,[],[f526,f280]) ).
fof(f280,plain,
( ! [X0] :
( ~ sP1(X0)
| ~ sP0(X0)
| well_founded_relation(X0) )
| ~ spl15_26 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f526,plain,
( sP1(sK11)
| ~ spl15_69 ),
inference(avatar_component_clause,[],[f524]) ).
fof(f697,plain,
( spl15_95
| ~ spl15_96
| ~ spl15_26
| ~ spl15_62 ),
inference(avatar_split_clause,[],[f521,f477,f279,f694,f690]) ).
fof(f690,plain,
( spl15_95
<=> well_founded_relation(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_95])]) ).
fof(f694,plain,
( spl15_96
<=> sP0(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_96])]) ).
fof(f477,plain,
( spl15_62
<=> sP1(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_62])]) ).
fof(f521,plain,
( ~ sP0(sK13)
| well_founded_relation(sK13)
| ~ spl15_26
| ~ spl15_62 ),
inference(resolution,[],[f479,f280]) ).
fof(f479,plain,
( sP1(sK13)
| ~ spl15_62 ),
inference(avatar_component_clause,[],[f477]) ).
fof(f688,plain,
( spl15_93
| ~ spl15_94
| ~ spl15_26
| ~ spl15_61 ),
inference(avatar_split_clause,[],[f519,f472,f279,f685,f681]) ).
fof(f681,plain,
( spl15_93
<=> well_founded_relation(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_93])]) ).
fof(f685,plain,
( spl15_94
<=> sP0(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_94])]) ).
fof(f472,plain,
( spl15_61
<=> sP1(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_61])]) ).
fof(f519,plain,
( ~ sP0(sK12)
| well_founded_relation(sK12)
| ~ spl15_26
| ~ spl15_61 ),
inference(resolution,[],[f474,f280]) ).
fof(f474,plain,
( sP1(sK12)
| ~ spl15_61 ),
inference(avatar_component_clause,[],[f472]) ).
fof(f679,plain,
( spl15_92
| ~ spl15_53
| ~ spl15_54 ),
inference(avatar_split_clause,[],[f512,f435,f428,f677]) ).
fof(f428,plain,
( spl15_53
<=> ! [X4,X0,X1] :
( sK11 = X4
| in(sK8(X0,X4),X4)
| ~ subset(X4,X1)
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_53])]) ).
fof(f512,plain,
( ! [X0] :
( in(sK8(sK4,X0),X0)
| ~ subset(X0,relation_field(sK4))
| sK11 = X0 )
| ~ spl15_53
| ~ spl15_54 ),
inference(resolution,[],[f437,f429]) ).
fof(f429,plain,
( ! [X0,X1,X4] :
( ~ sP2(X0,X1)
| in(sK8(X0,X4),X4)
| ~ subset(X4,X1)
| sK11 = X4 )
| ~ spl15_53 ),
inference(avatar_component_clause,[],[f428]) ).
fof(f670,plain,
( spl15_91
| ~ spl15_55
| ~ spl15_58 ),
inference(avatar_split_clause,[],[f462,f454,f440,f668]) ).
fof(f454,plain,
( spl15_58
<=> ! [X0,X3] :
( sK11 = X3
| disjoint(fiber(X0,sK6(X0,X3)),X3)
| ~ subset(X3,relation_field(X0))
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_58])]) ).
fof(f462,plain,
( ! [X0,X1] :
( sK7(X0,X1) = sK11
| ~ subset(sK7(X0,X1),relation_field(X0))
| ~ sP0(X0)
| sP2(X0,X1)
| ~ in(sK6(X0,sK7(X0,X1)),sK7(X0,X1)) )
| ~ spl15_55
| ~ spl15_58 ),
inference(resolution,[],[f455,f441]) ).
fof(f455,plain,
( ! [X3,X0] :
( disjoint(fiber(X0,sK6(X0,X3)),X3)
| sK11 = X3
| ~ subset(X3,relation_field(X0))
| ~ sP0(X0) )
| ~ spl15_58 ),
inference(avatar_component_clause,[],[f454]) ).
fof(f665,plain,
( spl15_90
| ~ spl15_30
| ~ spl15_58 ),
inference(avatar_split_clause,[],[f463,f454,f296,f663]) ).
fof(f663,plain,
( spl15_90
<=> ! [X0,X1] :
( sK11 = X0
| ~ subset(X0,relation_field(X1))
| ~ sP0(X1)
| disjoint(X0,fiber(X1,sK6(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_90])]) ).
fof(f463,plain,
( ! [X0,X1] :
( sK11 = X0
| ~ subset(X0,relation_field(X1))
| ~ sP0(X1)
| disjoint(X0,fiber(X1,sK6(X1,X0))) )
| ~ spl15_30
| ~ spl15_58 ),
inference(resolution,[],[f455,f297]) ).
fof(f657,plain,
( spl15_89
| ~ spl15_31
| ~ spl15_52 ),
inference(avatar_split_clause,[],[f432,f424,f300,f655]) ).
fof(f655,plain,
( spl15_89
<=> ! [X0,X1] :
( sK11 = X0
| ~ subset(X0,relation_field(X1))
| ~ sP0(X1)
| ~ in(X0,sK6(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_89])]) ).
fof(f432,plain,
( ! [X0,X1] :
( sK11 = X0
| ~ subset(X0,relation_field(X1))
| ~ sP0(X1)
| ~ in(X0,sK6(X1,X0)) )
| ~ spl15_31
| ~ spl15_52 ),
inference(resolution,[],[f425,f301]) ).
fof(f653,plain,
( spl15_88
| ~ spl15_32
| ~ spl15_52 ),
inference(avatar_split_clause,[],[f431,f424,f304,f651]) ).
fof(f431,plain,
( ! [X0,X1] :
( sK11 = X0
| ~ subset(X0,relation_field(X1))
| ~ sP0(X1)
| element(sK6(X1,X0),X0) )
| ~ spl15_32
| ~ spl15_52 ),
inference(resolution,[],[f425,f305]) ).
fof(f646,plain,
( spl15_87
| ~ spl15_11
| ~ spl15_74 ),
inference(avatar_split_clause,[],[f558,f550,f199,f643]) ).
fof(f643,plain,
( spl15_87
<=> relation(sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_87])]) ).
fof(f199,plain,
( spl15_11
<=> relation(sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_11])]) ).
fof(f550,plain,
( spl15_74
<=> sK11 = sK14 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_74])]) ).
fof(f558,plain,
( relation(sK11)
| ~ spl15_11
| ~ spl15_74 ),
inference(superposition,[],[f201,f552]) ).
fof(f552,plain,
( sK11 = sK14
| ~ spl15_74 ),
inference(avatar_component_clause,[],[f550]) ).
fof(f201,plain,
( relation(sK14)
| ~ spl15_11 ),
inference(avatar_component_clause,[],[f199]) ).
fof(f641,plain,
( spl15_86
| ~ spl15_37
| ~ spl15_44 ),
inference(avatar_split_clause,[],[f387,f378,f330,f639]) ).
fof(f330,plain,
( spl15_37
<=> ! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_37])]) ).
fof(f387,plain,
( ! [X0,X1] :
( empty(powerset(X0))
| in(X1,powerset(X0))
| ~ subset(X1,X0) )
| ~ spl15_37
| ~ spl15_44 ),
inference(resolution,[],[f379,f331]) ).
fof(f331,plain,
( ! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) )
| ~ spl15_37 ),
inference(avatar_component_clause,[],[f330]) ).
fof(f633,plain,
( spl15_85
| ~ spl15_37
| ~ spl15_48 ),
inference(avatar_split_clause,[],[f408,f399,f330,f631]) ).
fof(f408,plain,
( ! [X2,X0,X1] :
( element(X0,X1)
| ~ in(X0,X2)
| ~ subset(X2,X1) )
| ~ spl15_37
| ~ spl15_48 ),
inference(resolution,[],[f400,f331]) ).
fof(f617,plain,
( spl15_84
| ~ spl15_18
| ~ spl15_48 ),
inference(avatar_split_clause,[],[f407,f399,f230,f615]) ).
fof(f230,plain,
( spl15_18
<=> ! [X0] : element(sK9(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_18])]) ).
fof(f407,plain,
( ! [X0,X1] :
( element(X0,X1)
| ~ in(X0,sK9(powerset(X1))) )
| ~ spl15_18
| ~ spl15_48 ),
inference(resolution,[],[f400,f231]) ).
fof(f231,plain,
( ! [X0] : element(sK9(X0),X0)
| ~ spl15_18 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f613,plain,
( spl15_83
| ~ spl15_6
| ~ spl15_11
| ~ spl15_12
| ~ spl15_21
| ~ spl15_47 ),
inference(avatar_split_clause,[],[f406,f395,f254,f204,f199,f174,f610]) ).
fof(f174,plain,
( spl15_6
<=> empty(sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_6])]) ).
fof(f204,plain,
( spl15_12
<=> empty(sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_12])]) ).
fof(f254,plain,
( spl15_21
<=> ! [X0] :
( empty_set = X0
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_21])]) ).
fof(f395,plain,
( spl15_47
<=> ! [X0] :
( relation_field(X0) = set_union2(relation_dom(X0),relation_rng(X0))
| ~ relation(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_47])]) ).
fof(f406,plain,
( relation_field(sK11) = set_union2(relation_dom(sK11),relation_rng(sK11))
| ~ spl15_6
| ~ spl15_11
| ~ spl15_12
| ~ spl15_21
| ~ spl15_47 ),
inference(forward_demodulation,[],[f405,f268]) ).
fof(f268,plain,
( sK11 = sK14
| ~ spl15_6
| ~ spl15_12
| ~ spl15_21 ),
inference(forward_demodulation,[],[f267,f266]) ).
fof(f266,plain,
( empty_set = sK11
| ~ spl15_6
| ~ spl15_21 ),
inference(resolution,[],[f255,f176]) ).
fof(f176,plain,
( empty(sK11)
| ~ spl15_6 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f255,plain,
( ! [X0] :
( ~ empty(X0)
| empty_set = X0 )
| ~ spl15_21 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f267,plain,
( empty_set = sK14
| ~ spl15_12
| ~ spl15_21 ),
inference(resolution,[],[f255,f206]) ).
fof(f206,plain,
( empty(sK14)
| ~ spl15_12 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f405,plain,
( relation_field(sK14) = set_union2(relation_dom(sK14),relation_rng(sK14))
| ~ spl15_11
| ~ spl15_47 ),
inference(resolution,[],[f396,f201]) ).
fof(f396,plain,
( ! [X0] :
( ~ relation(X0)
| relation_field(X0) = set_union2(relation_dom(X0),relation_rng(X0)) )
| ~ spl15_47 ),
inference(avatar_component_clause,[],[f395]) ).
fof(f608,plain,
( spl15_82
| ~ spl15_9
| ~ spl15_47 ),
inference(avatar_split_clause,[],[f404,f395,f189,f605]) ).
fof(f189,plain,
( spl15_9
<=> relation(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_9])]) ).
fof(f404,plain,
( relation_field(sK13) = set_union2(relation_dom(sK13),relation_rng(sK13))
| ~ spl15_9
| ~ spl15_47 ),
inference(resolution,[],[f396,f191]) ).
fof(f191,plain,
( relation(sK13)
| ~ spl15_9 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f603,plain,
( spl15_81
| ~ spl15_7
| ~ spl15_47 ),
inference(avatar_split_clause,[],[f403,f395,f179,f600]) ).
fof(f179,plain,
( spl15_7
<=> relation(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_7])]) ).
fof(f403,plain,
( relation_field(sK12) = set_union2(relation_dom(sK12),relation_rng(sK12))
| ~ spl15_7
| ~ spl15_47 ),
inference(resolution,[],[f396,f181]) ).
fof(f181,plain,
( relation(sK12)
| ~ spl15_7 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f598,plain,
( spl15_80
| ~ spl15_37
| ~ spl15_46 ),
inference(avatar_split_clause,[],[f393,f389,f330,f596]) ).
fof(f393,plain,
( ! [X2,X0,X1] :
( ~ empty(X0)
| ~ in(X1,X2)
| ~ subset(X2,X0) )
| ~ spl15_37
| ~ spl15_46 ),
inference(resolution,[],[f390,f331]) ).
fof(f592,plain,
( spl15_79
| ~ spl15_18
| ~ spl15_46 ),
inference(avatar_split_clause,[],[f392,f389,f230,f590]) ).
fof(f392,plain,
( ! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK9(powerset(X0))) )
| ~ spl15_18
| ~ spl15_46 ),
inference(resolution,[],[f390,f231]) ).
fof(f585,plain,
( spl15_78
| ~ spl15_18
| ~ spl15_44 ),
inference(avatar_split_clause,[],[f386,f378,f230,f583]) ).
fof(f386,plain,
( ! [X0] :
( empty(X0)
| in(sK9(X0),X0) )
| ~ spl15_18
| ~ spl15_44 ),
inference(resolution,[],[f379,f231]) ).
fof(f570,plain,
( spl15_77
| ~ spl15_6
| ~ spl15_38 ),
inference(avatar_split_clause,[],[f352,f334,f174,f568]) ).
fof(f352,plain,
( ! [X0] :
( sK11 = X0
| ~ empty(X0) )
| ~ spl15_6
| ~ spl15_38 ),
inference(resolution,[],[f335,f176]) ).
fof(f566,plain,
( spl15_76
| ~ spl15_18
| ~ spl15_36 ),
inference(avatar_split_clause,[],[f349,f326,f230,f564]) ).
fof(f564,plain,
( spl15_76
<=> ! [X0] : subset(sK9(powerset(X0)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_76])]) ).
fof(f349,plain,
( ! [X0] : subset(sK9(powerset(X0)),X0)
| ~ spl15_18
| ~ spl15_36 ),
inference(resolution,[],[f327,f231]) ).
fof(f562,plain,
( spl15_75
| ~ spl15_6
| ~ spl15_20
| ~ spl15_21
| ~ spl15_35 ),
inference(avatar_split_clause,[],[f345,f322,f254,f250,f174,f560]) ).
fof(f560,plain,
( spl15_75
<=> ! [X0] : set_union2(sK11,X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_75])]) ).
fof(f322,plain,
( spl15_35
<=> ! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_35])]) ).
fof(f345,plain,
( ! [X0] : set_union2(sK11,X0) = X0
| ~ spl15_6
| ~ spl15_20
| ~ spl15_21
| ~ spl15_35 ),
inference(forward_demodulation,[],[f337,f266]) ).
fof(f337,plain,
( ! [X0] : set_union2(empty_set,X0) = X0
| ~ spl15_20
| ~ spl15_35 ),
inference(superposition,[],[f323,f251]) ).
fof(f323,plain,
( ! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0)
| ~ spl15_35 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f553,plain,
( spl15_74
| ~ spl15_6
| ~ spl15_12
| ~ spl15_21 ),
inference(avatar_split_clause,[],[f268,f254,f204,f174,f550]) ).
fof(f548,plain,
( spl15_73
| ~ spl15_6
| ~ spl15_21 ),
inference(avatar_split_clause,[],[f266,f254,f174,f545]) ).
fof(f541,plain,
( spl15_71
| ~ spl15_72
| ~ spl15_29
| ~ spl15_60 ),
inference(avatar_split_clause,[],[f469,f465,f292,f538,f534]) ).
fof(f534,plain,
( spl15_71
<=> empty(relation_rng(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_71])]) ).
fof(f538,plain,
( spl15_72
<=> empty(relation_field(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_72])]) ).
fof(f465,plain,
( spl15_60
<=> relation_field(sK4) = set_union2(relation_dom(sK4),relation_rng(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_60])]) ).
fof(f469,plain,
( ~ empty(relation_field(sK4))
| empty(relation_rng(sK4))
| ~ spl15_29
| ~ spl15_60 ),
inference(superposition,[],[f293,f467]) ).
fof(f467,plain,
( relation_field(sK4) = set_union2(relation_dom(sK4),relation_rng(sK4))
| ~ spl15_60 ),
inference(avatar_component_clause,[],[f465]) ).
fof(f532,plain,
( spl15_70
| ~ spl15_6
| ~ spl15_12
| ~ spl15_21
| ~ spl15_66 ),
inference(avatar_split_clause,[],[f502,f498,f254,f204,f174,f529]) ).
fof(f529,plain,
( spl15_70
<=> sP3(sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_70])]) ).
fof(f498,plain,
( spl15_66
<=> sP3(sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_66])]) ).
fof(f502,plain,
( sP3(sK11)
| ~ spl15_6
| ~ spl15_12
| ~ spl15_21
| ~ spl15_66 ),
inference(forward_demodulation,[],[f500,f268]) ).
fof(f500,plain,
( sP3(sK14)
| ~ spl15_66 ),
inference(avatar_component_clause,[],[f498]) ).
fof(f527,plain,
( spl15_69
| ~ spl15_6
| ~ spl15_12
| ~ spl15_21
| ~ spl15_63 ),
inference(avatar_split_clause,[],[f486,f482,f254,f204,f174,f524]) ).
fof(f482,plain,
( spl15_63
<=> sP1(sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_63])]) ).
fof(f486,plain,
( sP1(sK11)
| ~ spl15_6
| ~ spl15_12
| ~ spl15_21
| ~ spl15_63 ),
inference(forward_demodulation,[],[f484,f268]) ).
fof(f484,plain,
( sP1(sK14)
| ~ spl15_63 ),
inference(avatar_component_clause,[],[f482]) ).
fof(f518,plain,
( spl15_68
| ~ spl15_6
| ~ spl15_17 ),
inference(avatar_split_clause,[],[f242,f226,f174,f515]) ).
fof(f515,plain,
( spl15_68
<=> function(sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_68])]) ).
fof(f242,plain,
( function(sK11)
| ~ spl15_6
| ~ spl15_17 ),
inference(resolution,[],[f227,f176]) ).
fof(f509,plain,
( spl15_43
| ~ spl15_2
| ~ spl15_19
| ~ spl15_24 ),
inference(avatar_split_clause,[],[f312,f270,f245,f155,f373]) ).
fof(f245,plain,
( spl15_19
<=> sP1(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_19])]) ).
fof(f270,plain,
( spl15_24
<=> ! [X0] :
( sP0(X0)
| ~ well_founded_relation(X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_24])]) ).
fof(f312,plain,
( ~ well_founded_relation(sK4)
| sP0(sK4)
| ~ spl15_19
| ~ spl15_24 ),
inference(resolution,[],[f247,f271]) ).
fof(f271,plain,
( ! [X0] :
( ~ sP1(X0)
| ~ well_founded_relation(X0)
| sP0(X0) )
| ~ spl15_24 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f247,plain,
( sP1(sK4)
| ~ spl15_19 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f507,plain,
( spl15_67
| ~ spl15_4
| ~ spl15_17 ),
inference(avatar_split_clause,[],[f241,f226,f164,f504]) ).
fof(f504,plain,
( spl15_67
<=> function(empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_67])]) ).
fof(f241,plain,
( function(empty_set)
| ~ spl15_4
| ~ spl15_17 ),
inference(resolution,[],[f227,f166]) ).
fof(f501,plain,
( spl15_66
| ~ spl15_11
| ~ spl15_16 ),
inference(avatar_split_clause,[],[f240,f222,f199,f498]) ).
fof(f222,plain,
( spl15_16
<=> ! [X0] :
( sP3(X0)
| ~ relation(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_16])]) ).
fof(f240,plain,
( sP3(sK14)
| ~ spl15_11
| ~ spl15_16 ),
inference(resolution,[],[f223,f201]) ).
fof(f223,plain,
( ! [X0] :
( ~ relation(X0)
| sP3(X0) )
| ~ spl15_16 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f496,plain,
( spl15_65
| ~ spl15_9
| ~ spl15_16 ),
inference(avatar_split_clause,[],[f239,f222,f189,f493]) ).
fof(f493,plain,
( spl15_65
<=> sP3(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_65])]) ).
fof(f239,plain,
( sP3(sK13)
| ~ spl15_9
| ~ spl15_16 ),
inference(resolution,[],[f223,f191]) ).
fof(f491,plain,
( spl15_64
| ~ spl15_7
| ~ spl15_16 ),
inference(avatar_split_clause,[],[f238,f222,f179,f488]) ).
fof(f488,plain,
( spl15_64
<=> sP3(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_64])]) ).
fof(f238,plain,
( sP3(sK12)
| ~ spl15_7
| ~ spl15_16 ),
inference(resolution,[],[f223,f181]) ).
fof(f485,plain,
( spl15_63
| ~ spl15_11
| ~ spl15_15 ),
inference(avatar_split_clause,[],[f236,f218,f199,f482]) ).
fof(f218,plain,
( spl15_15
<=> ! [X0] :
( sP1(X0)
| ~ relation(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_15])]) ).
fof(f236,plain,
( sP1(sK14)
| ~ spl15_11
| ~ spl15_15 ),
inference(resolution,[],[f219,f201]) ).
fof(f219,plain,
( ! [X0] :
( ~ relation(X0)
| sP1(X0) )
| ~ spl15_15 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f480,plain,
( spl15_62
| ~ spl15_9
| ~ spl15_15 ),
inference(avatar_split_clause,[],[f235,f218,f189,f477]) ).
fof(f235,plain,
( sP1(sK13)
| ~ spl15_9
| ~ spl15_15 ),
inference(resolution,[],[f219,f191]) ).
fof(f475,plain,
( spl15_61
| ~ spl15_7
| ~ spl15_15 ),
inference(avatar_split_clause,[],[f234,f218,f179,f472]) ).
fof(f234,plain,
( sP1(sK12)
| ~ spl15_7
| ~ spl15_15 ),
inference(resolution,[],[f219,f181]) ).
fof(f468,plain,
( spl15_60
| ~ spl15_1
| ~ spl15_47 ),
inference(avatar_split_clause,[],[f402,f395,f150,f465]) ).
fof(f150,plain,
( spl15_1
<=> relation(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).
fof(f402,plain,
( relation_field(sK4) = set_union2(relation_dom(sK4),relation_rng(sK4))
| ~ spl15_1
| ~ spl15_47 ),
inference(resolution,[],[f396,f152]) ).
fof(f152,plain,
( relation(sK4)
| ~ spl15_1 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f460,plain,
( spl15_59
| ~ spl15_6
| ~ spl15_21
| ~ spl15_57 ),
inference(avatar_split_clause,[],[f452,f449,f254,f174,f458]) ).
fof(f449,plain,
( spl15_57
<=> ! [X4,X0,X1] :
( disjoint(fiber(X0,sK8(X0,X4)),X4)
| empty_set = X4
| ~ subset(X4,X1)
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_57])]) ).
fof(f452,plain,
( ! [X0,X1,X4] :
( sK11 = X4
| disjoint(fiber(X0,sK8(X0,X4)),X4)
| ~ subset(X4,X1)
| ~ sP2(X0,X1) )
| ~ spl15_6
| ~ spl15_21
| ~ spl15_57 ),
inference(forward_demodulation,[],[f450,f266]) ).
fof(f450,plain,
( ! [X0,X1,X4] :
( disjoint(fiber(X0,sK8(X0,X4)),X4)
| empty_set = X4
| ~ subset(X4,X1)
| ~ sP2(X0,X1) )
| ~ spl15_57 ),
inference(avatar_component_clause,[],[f449]) ).
fof(f456,plain,
( spl15_58
| ~ spl15_6
| ~ spl15_21
| ~ spl15_56 ),
inference(avatar_split_clause,[],[f447,f444,f254,f174,f454]) ).
fof(f444,plain,
( spl15_56
<=> ! [X0,X3] :
( disjoint(fiber(X0,sK6(X0,X3)),X3)
| empty_set = X3
| ~ subset(X3,relation_field(X0))
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_56])]) ).
fof(f447,plain,
( ! [X3,X0] :
( sK11 = X3
| disjoint(fiber(X0,sK6(X0,X3)),X3)
| ~ subset(X3,relation_field(X0))
| ~ sP0(X0) )
| ~ spl15_6
| ~ spl15_21
| ~ spl15_56 ),
inference(forward_demodulation,[],[f445,f266]) ).
fof(f445,plain,
( ! [X3,X0] :
( disjoint(fiber(X0,sK6(X0,X3)),X3)
| empty_set = X3
| ~ subset(X3,relation_field(X0))
| ~ sP0(X0) )
| ~ spl15_56 ),
inference(avatar_component_clause,[],[f444]) ).
fof(f451,plain,
spl15_57,
inference(avatar_split_clause,[],[f115,f449]) ).
fof(f115,plain,
! [X0,X1,X4] :
( disjoint(fiber(X0,sK8(X0,X4)),X4)
| empty_set = X4
| ~ subset(X4,X1)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0,X1] :
( ( sP2(X0,X1)
| ( ! [X3] :
( ~ disjoint(fiber(X0,X3),sK7(X0,X1))
| ~ in(X3,sK7(X0,X1)) )
& empty_set != sK7(X0,X1)
& subset(sK7(X0,X1),X1) ) )
& ( ! [X4] :
( ( disjoint(fiber(X0,sK8(X0,X4)),X4)
& in(sK8(X0,X4),X4) )
| empty_set = X4
| ~ subset(X4,X1) )
| ~ sP2(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8])],[f81,f83,f82]) ).
fof(f82,plain,
! [X0,X1] :
( ? [X2] :
( ! [X3] :
( ~ disjoint(fiber(X0,X3),X2)
| ~ in(X3,X2) )
& empty_set != X2
& subset(X2,X1) )
=> ( ! [X3] :
( ~ disjoint(fiber(X0,X3),sK7(X0,X1))
| ~ in(X3,sK7(X0,X1)) )
& empty_set != sK7(X0,X1)
& subset(sK7(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
! [X0,X4] :
( ? [X5] :
( disjoint(fiber(X0,X5),X4)
& in(X5,X4) )
=> ( disjoint(fiber(X0,sK8(X0,X4)),X4)
& in(sK8(X0,X4),X4) ) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
! [X0,X1] :
( ( sP2(X0,X1)
| ? [X2] :
( ! [X3] :
( ~ disjoint(fiber(X0,X3),X2)
| ~ in(X3,X2) )
& empty_set != X2
& subset(X2,X1) ) )
& ( ! [X4] :
( ? [X5] :
( disjoint(fiber(X0,X5),X4)
& in(X5,X4) )
| empty_set = X4
| ~ subset(X4,X1) )
| ~ sP2(X0,X1) ) ),
inference(rectify,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( ( sP2(X0,X1)
| ? [X2] :
( ! [X3] :
( ~ disjoint(fiber(X0,X3),X2)
| ~ in(X3,X2) )
& empty_set != X2
& subset(X2,X1) ) )
& ( ! [X2] :
( ? [X3] :
( disjoint(fiber(X0,X3),X2)
& in(X3,X2) )
| empty_set = X2
| ~ subset(X2,X1) )
| ~ sP2(X0,X1) ) ),
inference(nnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0,X1] :
( sP2(X0,X1)
<=> ! [X2] :
( ? [X3] :
( disjoint(fiber(X0,X3),X2)
& in(X3,X2) )
| empty_set = X2
| ~ subset(X2,X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f446,plain,
spl15_56,
inference(avatar_split_clause,[],[f107,f444]) ).
fof(f107,plain,
! [X3,X0] :
( disjoint(fiber(X0,sK6(X0,X3)),X3)
| empty_set = X3
| ~ subset(X3,relation_field(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0] :
( ( sP0(X0)
| ( ! [X2] :
( ~ disjoint(fiber(X0,X2),sK5(X0))
| ~ in(X2,sK5(X0)) )
& empty_set != sK5(X0)
& subset(sK5(X0),relation_field(X0)) ) )
& ( ! [X3] :
( ( disjoint(fiber(X0,sK6(X0,X3)),X3)
& in(sK6(X0,X3),X3) )
| empty_set = X3
| ~ subset(X3,relation_field(X0)) )
| ~ sP0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f75,f77,f76]) ).
fof(f76,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ~ disjoint(fiber(X0,X2),X1)
| ~ in(X2,X1) )
& empty_set != X1
& subset(X1,relation_field(X0)) )
=> ( ! [X2] :
( ~ disjoint(fiber(X0,X2),sK5(X0))
| ~ in(X2,sK5(X0)) )
& empty_set != sK5(X0)
& subset(sK5(X0),relation_field(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
! [X0,X3] :
( ? [X4] :
( disjoint(fiber(X0,X4),X3)
& in(X4,X3) )
=> ( disjoint(fiber(X0,sK6(X0,X3)),X3)
& in(sK6(X0,X3),X3) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
! [X0] :
( ( sP0(X0)
| ? [X1] :
( ! [X2] :
( ~ disjoint(fiber(X0,X2),X1)
| ~ in(X2,X1) )
& empty_set != X1
& subset(X1,relation_field(X0)) ) )
& ( ! [X3] :
( ? [X4] :
( disjoint(fiber(X0,X4),X3)
& in(X4,X3) )
| empty_set = X3
| ~ subset(X3,relation_field(X0)) )
| ~ sP0(X0) ) ),
inference(rectify,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ( sP0(X0)
| ? [X1] :
( ! [X2] :
( ~ disjoint(fiber(X0,X2),X1)
| ~ in(X2,X1) )
& empty_set != X1
& subset(X1,relation_field(X0)) ) )
& ( ! [X1] :
( ? [X2] :
( disjoint(fiber(X0,X2),X1)
& in(X2,X1) )
| empty_set = X1
| ~ subset(X1,relation_field(X0)) )
| ~ sP0(X0) ) ),
inference(nnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0] :
( sP0(X0)
<=> ! [X1] :
( ? [X2] :
( disjoint(fiber(X0,X2),X1)
& in(X2,X1) )
| empty_set = X1
| ~ subset(X1,relation_field(X0)) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f442,plain,
spl15_55,
inference(avatar_split_clause,[],[f118,f440]) ).
fof(f118,plain,
! [X3,X0,X1] :
( sP2(X0,X1)
| ~ disjoint(fiber(X0,X3),sK7(X0,X1))
| ~ in(X3,sK7(X0,X1)) ),
inference(cnf_transformation,[],[f84]) ).
fof(f438,plain,
( ~ spl15_25
| spl15_54
| ~ spl15_3
| ~ spl15_39 ),
inference(avatar_split_clause,[],[f381,f356,f159,f435,f274]) ).
fof(f356,plain,
( spl15_39
<=> ! [X0,X1] :
( sP2(X0,X1)
| ~ is_well_founded_in(X0,X1)
| ~ sP3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_39])]) ).
fof(f381,plain,
( sP2(sK4,relation_field(sK4))
| ~ sP3(sK4)
| ~ spl15_3
| ~ spl15_39 ),
inference(resolution,[],[f357,f161]) ).
fof(f161,plain,
( is_well_founded_in(sK4,relation_field(sK4))
| ~ spl15_3 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f357,plain,
( ! [X0,X1] :
( ~ is_well_founded_in(X0,X1)
| sP2(X0,X1)
| ~ sP3(X0) )
| ~ spl15_39 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f430,plain,
( spl15_53
| ~ spl15_6
| ~ spl15_21
| ~ spl15_51 ),
inference(avatar_split_clause,[],[f422,f419,f254,f174,f428]) ).
fof(f419,plain,
( spl15_51
<=> ! [X4,X0,X1] :
( in(sK8(X0,X4),X4)
| empty_set = X4
| ~ subset(X4,X1)
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_51])]) ).
fof(f422,plain,
( ! [X0,X1,X4] :
( sK11 = X4
| in(sK8(X0,X4),X4)
| ~ subset(X4,X1)
| ~ sP2(X0,X1) )
| ~ spl15_6
| ~ spl15_21
| ~ spl15_51 ),
inference(forward_demodulation,[],[f420,f266]) ).
fof(f420,plain,
( ! [X0,X1,X4] :
( in(sK8(X0,X4),X4)
| empty_set = X4
| ~ subset(X4,X1)
| ~ sP2(X0,X1) )
| ~ spl15_51 ),
inference(avatar_component_clause,[],[f419]) ).
fof(f426,plain,
( spl15_52
| ~ spl15_6
| ~ spl15_21
| ~ spl15_50 ),
inference(avatar_split_clause,[],[f417,f414,f254,f174,f424]) ).
fof(f414,plain,
( spl15_50
<=> ! [X0,X3] :
( in(sK6(X0,X3),X3)
| empty_set = X3
| ~ subset(X3,relation_field(X0))
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_50])]) ).
fof(f417,plain,
( ! [X3,X0] :
( sK11 = X3
| in(sK6(X0,X3),X3)
| ~ subset(X3,relation_field(X0))
| ~ sP0(X0) )
| ~ spl15_6
| ~ spl15_21
| ~ spl15_50 ),
inference(forward_demodulation,[],[f415,f266]) ).
fof(f415,plain,
( ! [X3,X0] :
( in(sK6(X0,X3),X3)
| empty_set = X3
| ~ subset(X3,relation_field(X0))
| ~ sP0(X0) )
| ~ spl15_50 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f421,plain,
spl15_51,
inference(avatar_split_clause,[],[f114,f419]) ).
fof(f114,plain,
! [X0,X1,X4] :
( in(sK8(X0,X4),X4)
| empty_set = X4
| ~ subset(X4,X1)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f84]) ).
fof(f416,plain,
spl15_50,
inference(avatar_split_clause,[],[f106,f414]) ).
fof(f106,plain,
! [X3,X0] :
( in(sK6(X0,X3),X3)
| empty_set = X3
| ~ subset(X3,relation_field(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f412,plain,
spl15_49,
inference(avatar_split_clause,[],[f110,f410]) ).
fof(f110,plain,
! [X2,X0] :
( sP0(X0)
| ~ disjoint(fiber(X0,X2),sK5(X0))
| ~ in(X2,sK5(X0)) ),
inference(cnf_transformation,[],[f78]) ).
fof(f401,plain,
spl15_48,
inference(avatar_split_clause,[],[f138,f399]) ).
fof(f138,plain,
! [X2,X0,X1] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(flattening,[],[f60]) ).
fof(f60,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0,X1,X2] :
( ( element(X1,powerset(X2))
& in(X0,X1) )
=> element(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(f397,plain,
spl15_47,
inference(avatar_split_clause,[],[f103,f395]) ).
fof(f103,plain,
! [X0] :
( relation_field(X0) = set_union2(relation_dom(X0),relation_rng(X0))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0] :
( relation_field(X0) = set_union2(relation_dom(X0),relation_rng(X0))
| ~ relation(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( relation(X0)
=> relation_field(X0) = set_union2(relation_dom(X0),relation_rng(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d6_relat_1) ).
fof(f391,plain,
spl15_46,
inference(avatar_split_clause,[],[f139,f389]) ).
fof(f139,plain,
! [X2,X0,X1] :
( ~ empty(X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1,X2] :
( ~ empty(X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0,X1,X2] :
~ ( empty(X2)
& element(X1,powerset(X2))
& in(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset) ).
fof(f385,plain,
( spl15_45
| ~ spl15_6
| ~ spl15_21
| ~ spl15_42 ),
inference(avatar_split_clause,[],[f371,f368,f254,f174,f383]) ).
fof(f368,plain,
( spl15_42
<=> ! [X0,X1] :
( sP2(X0,X1)
| empty_set != sK7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_42])]) ).
fof(f371,plain,
( ! [X0,X1] :
( sK7(X0,X1) != sK11
| sP2(X0,X1) )
| ~ spl15_6
| ~ spl15_21
| ~ spl15_42 ),
inference(forward_demodulation,[],[f369,f266]) ).
fof(f369,plain,
( ! [X0,X1] :
( sP2(X0,X1)
| empty_set != sK7(X0,X1) )
| ~ spl15_42 ),
inference(avatar_component_clause,[],[f368]) ).
fof(f380,plain,
spl15_44,
inference(avatar_split_clause,[],[f133,f378]) ).
fof(f133,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( in(X0,X1)
| empty(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f376,plain,
( spl15_2
| ~ spl15_43
| ~ spl15_19
| ~ spl15_26 ),
inference(avatar_split_clause,[],[f311,f279,f245,f373,f155]) ).
fof(f311,plain,
( ~ sP0(sK4)
| well_founded_relation(sK4)
| ~ spl15_19
| ~ spl15_26 ),
inference(resolution,[],[f247,f280]) ).
fof(f370,plain,
spl15_42,
inference(avatar_split_clause,[],[f117,f368]) ).
fof(f117,plain,
! [X0,X1] :
( sP2(X0,X1)
| empty_set != sK7(X0,X1) ),
inference(cnf_transformation,[],[f84]) ).
fof(f366,plain,
spl15_41,
inference(avatar_split_clause,[],[f116,f364]) ).
fof(f116,plain,
! [X0,X1] :
( sP2(X0,X1)
| subset(sK7(X0,X1),X1) ),
inference(cnf_transformation,[],[f84]) ).
fof(f362,plain,
spl15_40,
inference(avatar_split_clause,[],[f113,f360]) ).
fof(f113,plain,
! [X0,X1] :
( is_well_founded_in(X0,X1)
| ~ sP2(X0,X1)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ! [X1] :
( ( is_well_founded_in(X0,X1)
| ~ sP2(X0,X1) )
& ( sP2(X0,X1)
| ~ is_well_founded_in(X0,X1) ) )
| ~ sP3(X0) ),
inference(nnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0] :
( ! [X1] :
( is_well_founded_in(X0,X1)
<=> sP2(X0,X1) )
| ~ sP3(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f358,plain,
spl15_39,
inference(avatar_split_clause,[],[f112,f356]) ).
fof(f112,plain,
! [X0,X1] :
( sP2(X0,X1)
| ~ is_well_founded_in(X0,X1)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f336,plain,
spl15_38,
inference(avatar_split_clause,[],[f136,f334]) ).
fof(f136,plain,
! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0,X1] :
~ ( empty(X1)
& X0 != X1
& empty(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_boole) ).
fof(f332,plain,
spl15_37,
inference(avatar_split_clause,[],[f135,f330]) ).
fof(f135,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1] :
( ( element(X0,powerset(X1))
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ~ element(X0,powerset(X1)) ) ),
inference(nnf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0,X1] :
( element(X0,powerset(X1))
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(f328,plain,
spl15_36,
inference(avatar_split_clause,[],[f134,f326]) ).
fof(f134,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ element(X0,powerset(X1)) ),
inference(cnf_transformation,[],[f87]) ).
fof(f324,plain,
spl15_35,
inference(avatar_split_clause,[],[f127,f322]) ).
fof(f127,plain,
! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
fof(f320,plain,
spl15_34,
inference(avatar_split_clause,[],[f108,f318]) ).
fof(f108,plain,
! [X0] :
( sP0(X0)
| subset(sK5(X0),relation_field(X0)) ),
inference(cnf_transformation,[],[f78]) ).
fof(f310,plain,
( spl15_33
| ~ spl15_6
| ~ spl15_21
| ~ spl15_27 ),
inference(avatar_split_clause,[],[f286,f283,f254,f174,f308]) ).
fof(f283,plain,
( spl15_27
<=> ! [X0] :
( sP0(X0)
| empty_set != sK5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_27])]) ).
fof(f286,plain,
( ! [X0] :
( sK5(X0) != sK11
| sP0(X0) )
| ~ spl15_6
| ~ spl15_21
| ~ spl15_27 ),
inference(forward_demodulation,[],[f284,f266]) ).
fof(f284,plain,
( ! [X0] :
( sP0(X0)
| empty_set != sK5(X0) )
| ~ spl15_27 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f306,plain,
spl15_32,
inference(avatar_split_clause,[],[f132,f304]) ).
fof(f132,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0,X1] :
( in(X0,X1)
=> element(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(f302,plain,
spl15_31,
inference(avatar_split_clause,[],[f131,f300]) ).
fof(f131,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( in(X0,X1)
=> ~ in(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f298,plain,
spl15_30,
inference(avatar_split_clause,[],[f130,f296]) ).
fof(f130,plain,
! [X0,X1] :
( disjoint(X1,X0)
| ~ disjoint(X0,X1) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1] :
( disjoint(X1,X0)
| ~ disjoint(X0,X1) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0,X1] :
( disjoint(X0,X1)
=> disjoint(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_r1_xboole_0) ).
fof(f294,plain,
spl15_29,
inference(avatar_split_clause,[],[f129,f292]) ).
fof(f129,plain,
! [X0,X1] :
( ~ empty(set_union2(X1,X0))
| empty(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( ~ empty(set_union2(X1,X0))
| empty(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0,X1] :
( ~ empty(X0)
=> ~ empty(set_union2(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_xboole_0) ).
fof(f290,plain,
spl15_28,
inference(avatar_split_clause,[],[f128,f288]) ).
fof(f288,plain,
( spl15_28
<=> ! [X0,X1] :
( ~ empty(set_union2(X0,X1))
| empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_28])]) ).
fof(f128,plain,
! [X0,X1] :
( ~ empty(set_union2(X0,X1))
| empty(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1] :
( ~ empty(set_union2(X0,X1))
| empty(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0,X1] :
( ~ empty(X0)
=> ~ empty(set_union2(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_xboole_0) ).
fof(f285,plain,
spl15_27,
inference(avatar_split_clause,[],[f109,f283]) ).
fof(f109,plain,
! [X0] :
( sP0(X0)
| empty_set != sK5(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f281,plain,
spl15_26,
inference(avatar_split_clause,[],[f105,f279]) ).
fof(f105,plain,
! [X0] :
( well_founded_relation(X0)
| ~ sP0(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0] :
( ( ( well_founded_relation(X0)
| ~ sP0(X0) )
& ( sP0(X0)
| ~ well_founded_relation(X0) ) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0] :
( ( well_founded_relation(X0)
<=> sP0(X0) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f277,plain,
( spl15_25
| ~ spl15_1
| ~ spl15_16 ),
inference(avatar_split_clause,[],[f237,f222,f150,f274]) ).
fof(f237,plain,
( sP3(sK4)
| ~ spl15_1
| ~ spl15_16 ),
inference(resolution,[],[f223,f152]) ).
fof(f272,plain,
spl15_24,
inference(avatar_split_clause,[],[f104,f270]) ).
fof(f104,plain,
! [X0] :
( sP0(X0)
| ~ well_founded_relation(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f264,plain,
spl15_23,
inference(avatar_split_clause,[],[f137,f262]) ).
fof(f262,plain,
( spl15_23
<=> ! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_23])]) ).
fof(f137,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0,X1] :
~ ( empty(X1)
& in(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(f260,plain,
spl15_22,
inference(avatar_split_clause,[],[f126,f258]) ).
fof(f258,plain,
( spl15_22
<=> ! [X0] : set_union2(X0,X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_22])]) ).
fof(f126,plain,
! [X0] : set_union2(X0,X0) = X0,
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0] : set_union2(X0,X0) = X0,
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X0,X1] : set_union2(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_k2_xboole_0) ).
fof(f256,plain,
spl15_21,
inference(avatar_split_clause,[],[f121,f254]) ).
fof(f121,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0] :
( empty(X0)
=> empty_set = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(f252,plain,
spl15_20,
inference(avatar_split_clause,[],[f102,f250]) ).
fof(f102,plain,
! [X0] : set_union2(X0,empty_set) = X0,
inference(cnf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] : set_union2(X0,empty_set) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_boole) ).
fof(f248,plain,
( spl15_19
| ~ spl15_1
| ~ spl15_15 ),
inference(avatar_split_clause,[],[f233,f218,f150,f245]) ).
fof(f233,plain,
( sP1(sK4)
| ~ spl15_1
| ~ spl15_15 ),
inference(resolution,[],[f219,f152]) ).
fof(f232,plain,
spl15_18,
inference(avatar_split_clause,[],[f124,f230]) ).
fof(f124,plain,
! [X0] : element(sK9(X0),X0),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0] : element(sK9(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f16,f85]) ).
fof(f85,plain,
! [X0] :
( ? [X1] : element(X1,X0)
=> element(sK9(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f16,axiom,
! [X0] :
? [X1] : element(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f228,plain,
spl15_17,
inference(avatar_split_clause,[],[f120,f226]) ).
fof(f120,plain,
! [X0] :
( function(X0)
| ~ empty(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0] :
( function(X0)
| ~ empty(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( empty(X0)
=> function(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_funct_1) ).
fof(f224,plain,
spl15_16,
inference(avatar_split_clause,[],[f119,f222]) ).
fof(f119,plain,
! [X0] :
( sP3(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0] :
( sP3(X0)
| ~ relation(X0) ),
inference(definition_folding,[],[f46,f67,f66]) ).
fof(f46,plain,
! [X0] :
( ! [X1] :
( is_well_founded_in(X0,X1)
<=> ! [X2] :
( ? [X3] :
( disjoint(fiber(X0,X3),X2)
& in(X3,X2) )
| empty_set = X2
| ~ subset(X2,X1) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( is_well_founded_in(X0,X1)
<=> ! [X2] :
~ ( ! [X3] :
~ ( disjoint(fiber(X0,X3),X2)
& in(X3,X2) )
& empty_set != X2
& subset(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_wellord1) ).
fof(f220,plain,
spl15_15,
inference(avatar_split_clause,[],[f111,f218]) ).
fof(f111,plain,
! [X0] :
( sP1(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0] :
( sP1(X0)
| ~ relation(X0) ),
inference(definition_folding,[],[f45,f64,f63]) ).
fof(f45,plain,
! [X0] :
( ( well_founded_relation(X0)
<=> ! [X1] :
( ? [X2] :
( disjoint(fiber(X0,X2),X1)
& in(X2,X1) )
| empty_set = X1
| ~ subset(X1,relation_field(X0)) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( relation(X0)
=> ( well_founded_relation(X0)
<=> ! [X1] :
~ ( ! [X2] :
~ ( disjoint(fiber(X0,X2),X1)
& in(X2,X1) )
& empty_set != X1
& subset(X1,relation_field(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_wellord1) ).
fof(f216,plain,
spl15_14,
inference(avatar_split_clause,[],[f125,f214]) ).
fof(f214,plain,
( spl15_14
<=> ! [X0] : subset(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_14])]) ).
fof(f125,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X0,X1] : subset(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f212,plain,
spl15_13,
inference(avatar_split_clause,[],[f148,f209]) ).
fof(f209,plain,
( spl15_13
<=> function(sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_13])]) ).
fof(f148,plain,
function(sK14),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
( function(sK14)
& empty(sK14)
& relation(sK14) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f23,f96]) ).
fof(f96,plain,
( ? [X0] :
( function(X0)
& empty(X0)
& relation(X0) )
=> ( function(sK14)
& empty(sK14)
& relation(sK14) ) ),
introduced(choice_axiom,[]) ).
fof(f23,axiom,
? [X0] :
( function(X0)
& empty(X0)
& relation(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_funct_1) ).
fof(f207,plain,
spl15_12,
inference(avatar_split_clause,[],[f147,f204]) ).
fof(f147,plain,
empty(sK14),
inference(cnf_transformation,[],[f97]) ).
fof(f202,plain,
spl15_11,
inference(avatar_split_clause,[],[f146,f199]) ).
fof(f146,plain,
relation(sK14),
inference(cnf_transformation,[],[f97]) ).
fof(f197,plain,
spl15_10,
inference(avatar_split_clause,[],[f145,f194]) ).
fof(f194,plain,
( spl15_10
<=> function(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_10])]) ).
fof(f145,plain,
function(sK13),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
( function(sK13)
& relation(sK13) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f42,f94]) ).
fof(f94,plain,
( ? [X0] :
( function(X0)
& relation(X0) )
=> ( function(sK13)
& relation(sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
? [X0] :
( function(X0)
& relation(X0) ),
inference(pure_predicate_removal,[],[f25]) ).
fof(f25,axiom,
? [X0] :
( one_to_one(X0)
& function(X0)
& relation(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_funct_1) ).
fof(f192,plain,
spl15_9,
inference(avatar_split_clause,[],[f144,f189]) ).
fof(f144,plain,
relation(sK13),
inference(cnf_transformation,[],[f95]) ).
fof(f187,plain,
spl15_8,
inference(avatar_split_clause,[],[f143,f184]) ).
fof(f184,plain,
( spl15_8
<=> function(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_8])]) ).
fof(f143,plain,
function(sK12),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
( function(sK12)
& relation(sK12) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f21,f92]) ).
fof(f92,plain,
( ? [X0] :
( function(X0)
& relation(X0) )
=> ( function(sK12)
& relation(sK12) ) ),
introduced(choice_axiom,[]) ).
fof(f21,axiom,
? [X0] :
( function(X0)
& relation(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_funct_1) ).
fof(f182,plain,
spl15_7,
inference(avatar_split_clause,[],[f142,f179]) ).
fof(f142,plain,
relation(sK12),
inference(cnf_transformation,[],[f93]) ).
fof(f177,plain,
spl15_6,
inference(avatar_split_clause,[],[f141,f174]) ).
fof(f141,plain,
empty(sK11),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
empty(sK11),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f22,f90]) ).
fof(f90,plain,
( ? [X0] : empty(X0)
=> empty(sK11) ),
introduced(choice_axiom,[]) ).
fof(f22,axiom,
? [X0] : empty(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(f172,plain,
~ spl15_5,
inference(avatar_split_clause,[],[f140,f169]) ).
fof(f169,plain,
( spl15_5
<=> empty(sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_5])]) ).
fof(f140,plain,
~ empty(sK10),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
~ empty(sK10),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f24,f88]) ).
fof(f88,plain,
( ? [X0] : ~ empty(X0)
=> ~ empty(sK10) ),
introduced(choice_axiom,[]) ).
fof(f24,axiom,
? [X0] : ~ empty(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_xboole_0) ).
fof(f167,plain,
spl15_4,
inference(avatar_split_clause,[],[f101,f164]) ).
fof(f101,plain,
empty(empty_set),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
empty(empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f162,plain,
( spl15_2
| spl15_3 ),
inference(avatar_split_clause,[],[f99,f159,f155]) ).
fof(f99,plain,
( is_well_founded_in(sK4,relation_field(sK4))
| well_founded_relation(sK4) ),
inference(cnf_transformation,[],[f72]) ).
fof(f153,plain,
spl15_1,
inference(avatar_split_clause,[],[f98,f150]) ).
fof(f98,plain,
relation(sK4),
inference(cnf_transformation,[],[f72]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU243+1 : TPTP v8.1.2. Released v3.3.0.
% 0.04/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 11:54:21 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (10941)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (10944)WARNING: value z3 for option sas not known
% 0.14/0.37 % (10942)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (10943)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (10945)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (10944)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (10947)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.37 % (10948)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.37 % (10946)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 TRYING [3]
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 TRYING [1]
% 0.21/0.39 TRYING [2]
% 0.21/0.39 TRYING [4]
% 0.21/0.39 TRYING [3]
% 0.21/0.39 TRYING [3]
% 0.21/0.39 TRYING [4]
% 0.21/0.40 % (10946)First to succeed.
% 0.21/0.41 % (10946)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-10941"
% 0.21/0.41 TRYING [5]
% 0.21/0.41 % (10946)Refutation found. Thanks to Tanya!
% 0.21/0.41 % SZS status Theorem for theBenchmark
% 0.21/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.42 % (10946)------------------------------
% 0.21/0.42 % (10946)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.42 % (10946)Termination reason: Refutation
% 0.21/0.42
% 0.21/0.42 % (10946)Memory used [KB]: 1396
% 0.21/0.42 % (10946)Time elapsed: 0.038 s
% 0.21/0.42 % (10946)Instructions burned: 51 (million)
% 0.21/0.42 % (10941)Success in time 0.049 s
%------------------------------------------------------------------------------