TSTP Solution File: SYN938+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN938+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n032.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 12:18:27 EDT 2024
% Result : Theorem 0.13s 0.34s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 254
% Syntax : Number of formulae : 969 ( 1 unt; 0 def)
% Number of atoms : 4818 ( 0 equ)
% Maximal formula atoms : 203 ( 4 avg)
% Number of connectives : 5794 (1945 ~;2151 |;1096 &)
% ( 196 <=>; 394 =>; 0 <=; 12 <~>)
% Maximal formula depth : 54 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 229 ( 228 usr; 208 prp; 0-3 aty)
% Number of functors : 65 ( 65 usr; 57 con; 0-2 aty)
% Number of variables : 1904 (1279 !; 625 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1906,plain,
$false,
inference(avatar_sat_refutation,[],[f407,f408,f416,f420,f428,f433,f441,f445,f454,f458,f466,f470,f475,f480,f485,f494,f507,f508,f521,f522,f530,f539,f547,f551,f560,f561,f566,f567,f576,f577,f590,f591,f600,f604,f613,f617,f627,f632,f636,f645,f650,f655,f663,f672,f680,f684,f689,f694,f698,f707,f712,f717,f721,f730,f731,f735,f744,f754,f762,f766,f778,f779,f788,f789,f797,f805,f809,f817,f826,f828,f829,f834,f835,f837,f846,f850,f855,f856,f865,f870,f879,f885,f893,f898,f903,f907,f923,f924,f931,f936,f949,f950,f951,f952,f961,f966,f970,f1006,f1010,f1014,f1019,f1024,f1034,f1035,f1036,f1041,f1046,f1059,f1063,f1067,f1071,f1075,f1080,f1085,f1100,f1104,f1108,f1112,f1116,f1128,f1133,f1134,f1135,f1136,f1148,f1152,f1153,f1157,f1161,f1166,f1171,f1172,f1173,f1175,f1177,f1179,f1191,f1222,f1240,f1242,f1248,f1250,f1252,f1254,f1307,f1326,f1333,f1339,f1341,f1343,f1345,f1356,f1363,f1369,f1371,f1373,f1377,f1381,f1387,f1389,f1391,f1397,f1399,f1406,f1418,f1430,f1480,f1487,f1489,f1493,f1497,f1505,f1507,f1509,f1515,f1517,f1519,f1531,f1537,f1539,f1545,f1565,f1570,f1578,f1595,f1664,f1701,f1703,f1727,f1730,f1741,f1742,f1744,f1746,f1748,f1750,f1752,f1754,f1756,f1764,f1776,f1780,f1782,f1784,f1786,f1788,f1790,f1793,f1801,f1850,f1905]) ).
fof(f1905,plain,
( ~ spl111_75
| spl111_99
| ~ spl111_100
| ~ spl111_101 ),
inference(avatar_contradiction_clause,[],[f1904]) ).
fof(f1904,plain,
( $false
| ~ spl111_75
| spl111_99
| ~ spl111_100
| ~ spl111_101 ),
inference(subsumption_resolution,[],[f1902,f845]) ).
fof(f845,plain,
( ~ q1(sK89)
| spl111_99 ),
inference(avatar_component_clause,[],[f843]) ).
fof(f843,plain,
( spl111_99
<=> q1(sK89) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_99])]) ).
fof(f1902,plain,
( q1(sK89)
| ~ spl111_75
| ~ spl111_100
| ~ spl111_101 ),
inference(resolution,[],[f1878,f734]) ).
fof(f734,plain,
( ! [X2] :
( ~ p1(X2)
| q1(X2) )
| ~ spl111_75 ),
inference(avatar_component_clause,[],[f733]) ).
fof(f733,plain,
( spl111_75
<=> ! [X2] :
( q1(X2)
| ~ p1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_75])]) ).
fof(f1878,plain,
( p1(sK89)
| ~ spl111_100
| ~ spl111_101 ),
inference(resolution,[],[f849,f854]) ).
fof(f854,plain,
( r1(sK89)
| ~ spl111_101 ),
inference(avatar_component_clause,[],[f852]) ).
fof(f852,plain,
( spl111_101
<=> r1(sK89) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_101])]) ).
fof(f849,plain,
( ! [X1] :
( ~ r1(X1)
| p1(X1) )
| ~ spl111_100 ),
inference(avatar_component_clause,[],[f848]) ).
fof(f848,plain,
( spl111_100
<=> ! [X1] :
( p1(X1)
| ~ r1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_100])]) ).
fof(f1850,plain,
( spl111_11
| ~ spl111_14
| ~ spl111_155 ),
inference(avatar_split_clause,[],[f1849,f1098,f456,f443]) ).
fof(f443,plain,
( spl111_11
<=> ! [X0] : p1(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_11])]) ).
fof(f456,plain,
( spl111_14
<=> ! [X2] :
( p1(X2)
| ~ q1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_14])]) ).
fof(f1098,plain,
( spl111_155
<=> ! [X2] :
( q1(X2)
| p1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_155])]) ).
fof(f1849,plain,
( ! [X2] : p1(X2)
| ~ spl111_14
| ~ spl111_155 ),
inference(subsumption_resolution,[],[f1099,f457]) ).
fof(f457,plain,
( ! [X2] :
( p1(X2)
| ~ q1(X2) )
| ~ spl111_14 ),
inference(avatar_component_clause,[],[f456]) ).
fof(f1099,plain,
( ! [X2] :
( p1(X2)
| q1(X2) )
| ~ spl111_155 ),
inference(avatar_component_clause,[],[f1098]) ).
fof(f1801,plain,
( spl111_166
| ~ spl111_11 ),
inference(avatar_split_clause,[],[f1800,f443,f1146]) ).
fof(f1146,plain,
( spl111_166
<=> ! [X0,X1] : ~ sP1(X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_166])]) ).
fof(f1800,plain,
( ! [X0,X1] : ~ sP1(X0,X1)
| ~ spl111_11 ),
inference(subsumption_resolution,[],[f1799,f444]) ).
fof(f444,plain,
( ! [X0] : p1(X0)
| ~ spl111_11 ),
inference(avatar_component_clause,[],[f443]) ).
fof(f1799,plain,
( ! [X0,X1] :
( ~ p1(X1)
| ~ sP1(X0,X1) )
| ~ spl111_11 ),
inference(subsumption_resolution,[],[f390,f444]) ).
fof(f390,plain,
! [X0,X1] :
( ~ p1(X0)
| ~ p1(X1)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f229]) ).
fof(f229,plain,
! [X0,X1] :
( ! [X2] :
( ( ~ p1(X0)
& q1(X2) )
| ( ~ p1(X1)
& p1(X2) ) )
| ~ sP1(X0,X1) ),
inference(rectify,[],[f228]) ).
fof(f228,plain,
! [X85,X84] :
( ! [X87] :
( ( ~ p1(X85)
& q1(X87) )
| ( ~ p1(X84)
& p1(X87) ) )
| ~ sP1(X85,X84) ),
inference(nnf_transformation,[],[f8]) ).
fof(f8,plain,
! [X85,X84] :
( ! [X87] :
( ( ~ p1(X85)
& q1(X87) )
| ( ~ p1(X84)
& p1(X87) ) )
| ~ sP1(X85,X84) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f1793,plain,
( spl111_162
| ~ spl111_11 ),
inference(avatar_split_clause,[],[f1792,f443,f1126]) ).
fof(f1126,plain,
( spl111_162
<=> ! [X0,X1] : ~ sP3(X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_162])]) ).
fof(f1792,plain,
( ! [X0,X1] : ~ sP3(X0,X1)
| ~ spl111_11 ),
inference(subsumption_resolution,[],[f1791,f444]) ).
fof(f1791,plain,
( ! [X0,X1] :
( ~ p1(X1)
| ~ sP3(X0,X1) )
| ~ spl111_11 ),
inference(subsumption_resolution,[],[f382,f444]) ).
fof(f382,plain,
! [X0,X1] :
( ~ p1(X0)
| ~ p1(X1)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f226]) ).
fof(f226,plain,
! [X0,X1] :
( ! [X2] :
( ( ~ p1(X0)
& q1(X2) )
| ( ~ p1(X1)
& p1(X2) ) )
| ~ sP3(X0,X1) ),
inference(rectify,[],[f225]) ).
fof(f225,plain,
! [X74,X73] :
( ! [X76] :
( ( ~ p1(X74)
& q1(X76) )
| ( ~ p1(X73)
& p1(X76) ) )
| ~ sP3(X74,X73) ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,plain,
! [X74,X73] :
( ! [X76] :
( ( ~ p1(X74)
& q1(X76) )
| ( ~ p1(X73)
& p1(X76) ) )
| ~ sP3(X74,X73) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f1790,plain,
( ~ spl111_53
| spl111_122 ),
inference(avatar_contradiction_clause,[],[f1789]) ).
fof(f1789,plain,
( $false
| ~ spl111_53
| spl111_122 ),
inference(subsumption_resolution,[],[f948,f635]) ).
fof(f635,plain,
( ! [X3] : r1(X3)
| ~ spl111_53 ),
inference(avatar_component_clause,[],[f634]) ).
fof(f634,plain,
( spl111_53
<=> ! [X3] : r1(X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_53])]) ).
fof(f948,plain,
( ~ r1(sK98)
| spl111_122 ),
inference(avatar_component_clause,[],[f946]) ).
fof(f946,plain,
( spl111_122
<=> r1(sK98) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_122])]) ).
fof(f1788,plain,
( ~ spl111_53
| spl111_121 ),
inference(avatar_contradiction_clause,[],[f1787]) ).
fof(f1787,plain,
( $false
| ~ spl111_53
| spl111_121 ),
inference(subsumption_resolution,[],[f944,f635]) ).
fof(f944,plain,
( ~ r1(sK97)
| spl111_121 ),
inference(avatar_component_clause,[],[f942]) ).
fof(f942,plain,
( spl111_121
<=> r1(sK97) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_121])]) ).
fof(f1786,plain,
( ~ spl111_85
| ~ spl111_87 ),
inference(avatar_contradiction_clause,[],[f1785]) ).
fof(f1785,plain,
( $false
| ~ spl111_85
| ~ spl111_87 ),
inference(subsumption_resolution,[],[f787,f777]) ).
fof(f777,plain,
( ! [X0] : ~ r1(X0)
| ~ spl111_85 ),
inference(avatar_component_clause,[],[f776]) ).
fof(f776,plain,
( spl111_85
<=> ! [X0] : ~ r1(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_85])]) ).
fof(f787,plain,
( r1(sK87)
| ~ spl111_87 ),
inference(avatar_component_clause,[],[f785]) ).
fof(f785,plain,
( spl111_87
<=> r1(sK87) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_87])]) ).
fof(f1784,plain,
( ~ spl111_49
| spl111_86 ),
inference(avatar_contradiction_clause,[],[f1783]) ).
fof(f1783,plain,
( $false
| ~ spl111_49
| spl111_86 ),
inference(subsumption_resolution,[],[f783,f616]) ).
fof(f616,plain,
( ! [X1] : q1(X1)
| ~ spl111_49 ),
inference(avatar_component_clause,[],[f615]) ).
fof(f615,plain,
( spl111_49
<=> ! [X1] : q1(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_49])]) ).
fof(f783,plain,
( ~ q1(sK87)
| spl111_86 ),
inference(avatar_component_clause,[],[f781]) ).
fof(f781,plain,
( spl111_86
<=> q1(sK87) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_86])]) ).
fof(f1782,plain,
( ~ spl111_53
| spl111_115 ),
inference(avatar_contradiction_clause,[],[f1781]) ).
fof(f1781,plain,
( $false
| ~ spl111_53
| spl111_115 ),
inference(subsumption_resolution,[],[f919,f635]) ).
fof(f919,plain,
( ~ r1(sK96)
| spl111_115 ),
inference(avatar_component_clause,[],[f917]) ).
fof(f917,plain,
( spl111_115
<=> r1(sK96) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_115])]) ).
fof(f1780,plain,
( ~ spl111_53
| spl111_114 ),
inference(avatar_contradiction_clause,[],[f1779]) ).
fof(f1779,plain,
( $false
| ~ spl111_53
| spl111_114 ),
inference(subsumption_resolution,[],[f915,f635]) ).
fof(f915,plain,
( ~ r1(sK95)
| spl111_114 ),
inference(avatar_component_clause,[],[f913]) ).
fof(f913,plain,
( spl111_114
<=> r1(sK95) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_114])]) ).
fof(f1776,plain,
( spl111_154
| ~ spl111_11 ),
inference(avatar_split_clause,[],[f1775,f443,f1095]) ).
fof(f1095,plain,
( spl111_154
<=> ! [X0,X1] : ~ sP6(X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_154])]) ).
fof(f1775,plain,
( ! [X0,X1] : ~ sP6(X0,X1)
| ~ spl111_11 ),
inference(subsumption_resolution,[],[f1774,f444]) ).
fof(f1774,plain,
( ! [X0,X1] :
( ~ p1(X1)
| ~ sP6(X0,X1) )
| ~ spl111_11 ),
inference(subsumption_resolution,[],[f371,f444]) ).
fof(f371,plain,
! [X0,X1] :
( ~ p1(X0)
| ~ p1(X1)
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f218]) ).
fof(f218,plain,
! [X0,X1] :
( ! [X2] :
( ( ~ p1(X0)
& q1(X2) )
| ( ~ p1(X1)
& p1(X2) ) )
| ~ sP6(X0,X1) ),
inference(rectify,[],[f217]) ).
fof(f217,plain,
! [X34,X33] :
( ! [X36] :
( ( ~ p1(X34)
& q1(X36) )
| ( ~ p1(X33)
& p1(X36) ) )
| ~ sP6(X34,X33) ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X34,X33] :
( ! [X36] :
( ( ~ p1(X34)
& q1(X36) )
| ( ~ p1(X33)
& p1(X36) ) )
| ~ sP6(X34,X33) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f1764,plain,
( ~ spl111_49
| spl111_74 ),
inference(avatar_contradiction_clause,[],[f1763]) ).
fof(f1763,plain,
( $false
| ~ spl111_49
| spl111_74 ),
inference(subsumption_resolution,[],[f729,f616]) ).
fof(f729,plain,
( ~ q1(sK84)
| spl111_74 ),
inference(avatar_component_clause,[],[f727]) ).
fof(f727,plain,
( spl111_74
<=> q1(sK84) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_74])]) ).
fof(f1756,plain,
( spl111_49
| ~ spl111_11
| ~ spl111_75 ),
inference(avatar_split_clause,[],[f1755,f733,f443,f615]) ).
fof(f1755,plain,
( ! [X2] : q1(X2)
| ~ spl111_11
| ~ spl111_75 ),
inference(subsumption_resolution,[],[f734,f444]) ).
fof(f1754,plain,
( ~ spl111_11
| ~ spl111_106 ),
inference(avatar_contradiction_clause,[],[f1753]) ).
fof(f1753,plain,
( $false
| ~ spl111_11
| ~ spl111_106 ),
inference(subsumption_resolution,[],[f878,f444]) ).
fof(f878,plain,
( ! [X0] : ~ p1(sK92(X0))
| ~ spl111_106 ),
inference(avatar_component_clause,[],[f877]) ).
fof(f877,plain,
( spl111_106
<=> ! [X0] : ~ p1(sK92(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_106])]) ).
fof(f1752,plain,
( ~ spl111_11
| ~ spl111_103 ),
inference(avatar_contradiction_clause,[],[f1751]) ).
fof(f1751,plain,
( $false
| ~ spl111_11
| ~ spl111_103 ),
inference(subsumption_resolution,[],[f864,f444]) ).
fof(f864,plain,
( ! [X0] : ~ p1(sK90(X0))
| ~ spl111_103 ),
inference(avatar_component_clause,[],[f863]) ).
fof(f863,plain,
( spl111_103
<=> ! [X0] : ~ p1(sK90(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_103])]) ).
fof(f1750,plain,
( ~ spl111_10
| ~ spl111_11 ),
inference(avatar_contradiction_clause,[],[f1749]) ).
fof(f1749,plain,
( $false
| ~ spl111_10
| ~ spl111_11 ),
inference(subsumption_resolution,[],[f440,f444]) ).
fof(f440,plain,
( ! [X0] : ~ p1(sK51(X0))
| ~ spl111_10 ),
inference(avatar_component_clause,[],[f439]) ).
fof(f439,plain,
( spl111_10
<=> ! [X0] : ~ p1(sK51(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_10])]) ).
fof(f1748,plain,
( ~ spl111_11
| spl111_27 ),
inference(avatar_contradiction_clause,[],[f1747]) ).
fof(f1747,plain,
( $false
| ~ spl111_11
| spl111_27 ),
inference(subsumption_resolution,[],[f516,f444]) ).
fof(f516,plain,
( ~ p1(sK60)
| spl111_27 ),
inference(avatar_component_clause,[],[f514]) ).
fof(f514,plain,
( spl111_27
<=> p1(sK60) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_27])]) ).
fof(f1746,plain,
( ~ spl111_11
| spl111_25 ),
inference(avatar_contradiction_clause,[],[f1745]) ).
fof(f1745,plain,
( $false
| ~ spl111_11
| spl111_25 ),
inference(subsumption_resolution,[],[f506,f444]) ).
fof(f506,plain,
( ~ p1(sK58)
| spl111_25 ),
inference(avatar_component_clause,[],[f504]) ).
fof(f504,plain,
( spl111_25
<=> p1(sK58) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_25])]) ).
fof(f1744,plain,
( ~ spl111_11
| spl111_42 ),
inference(avatar_contradiction_clause,[],[f1743]) ).
fof(f1743,plain,
( $false
| ~ spl111_11
| spl111_42 ),
inference(subsumption_resolution,[],[f585,f444]) ).
fof(f585,plain,
( ~ p1(sK71)
| spl111_42 ),
inference(avatar_component_clause,[],[f583]) ).
fof(f583,plain,
( spl111_42
<=> p1(sK71) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_42])]) ).
fof(f1742,plain,
( spl111_118
| ~ spl111_11
| ~ spl111_116 ),
inference(avatar_split_clause,[],[f1739,f921,f443,f929]) ).
fof(f929,plain,
( spl111_118
<=> ! [X2] : ~ q1(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_118])]) ).
fof(f921,plain,
( spl111_116
<=> ! [X2] :
( ~ q1(X2)
| ~ p1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_116])]) ).
fof(f1739,plain,
( ! [X0] : ~ q1(X0)
| ~ spl111_11
| ~ spl111_116 ),
inference(resolution,[],[f444,f922]) ).
fof(f922,plain,
( ! [X2] :
( ~ p1(X2)
| ~ q1(X2) )
| ~ spl111_116 ),
inference(avatar_component_clause,[],[f921]) ).
fof(f1741,plain,
( ~ spl111_11
| spl111_43 ),
inference(avatar_contradiction_clause,[],[f1740]) ).
fof(f1740,plain,
( $false
| ~ spl111_11
| spl111_43 ),
inference(resolution,[],[f444,f589]) ).
fof(f589,plain,
( ~ p1(sK72)
| spl111_43 ),
inference(avatar_component_clause,[],[f587]) ).
fof(f587,plain,
( spl111_43
<=> p1(sK72) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_43])]) ).
fof(f1730,plain,
( ~ spl111_146
| ~ spl111_151
| ~ spl111_176 ),
inference(avatar_contradiction_clause,[],[f1729]) ).
fof(f1729,plain,
( $false
| ~ spl111_146
| ~ spl111_151
| ~ spl111_176 ),
inference(subsumption_resolution,[],[f1728,f1084]) ).
fof(f1084,plain,
( p1(sK107)
| ~ spl111_151 ),
inference(avatar_component_clause,[],[f1082]) ).
fof(f1082,plain,
( spl111_151
<=> p1(sK107) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_151])]) ).
fof(f1728,plain,
( ~ p1(sK107)
| ~ spl111_146
| ~ spl111_176 ),
inference(resolution,[],[f1554,f1062]) ).
fof(f1062,plain,
( ! [X3] :
( ~ g(X3)
| ~ p1(X3) )
| ~ spl111_146 ),
inference(avatar_component_clause,[],[f1061]) ).
fof(f1061,plain,
( spl111_146
<=> ! [X3] :
( ~ g(X3)
| ~ p1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_146])]) ).
fof(f1554,plain,
( g(sK107)
| ~ spl111_176 ),
inference(avatar_component_clause,[],[f1552]) ).
fof(f1552,plain,
( spl111_176
<=> g(sK107) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_176])]) ).
fof(f1727,plain,
( spl111_176
| ~ spl111_145
| ~ spl111_148
| ~ spl111_150
| ~ spl111_177 ),
inference(avatar_split_clause,[],[f1726,f1556,f1077,f1069,f1057,f1552]) ).
fof(f1057,plain,
( spl111_145
<=> ! [X4] :
( ~ c(X4)
| ~ p1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_145])]) ).
fof(f1069,plain,
( spl111_148
<=> ! [X2] :
( c(f(X2))
| ~ e(X2)
| g(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_148])]) ).
fof(f1077,plain,
( spl111_150
<=> e(sK107) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_150])]) ).
fof(f1556,plain,
( spl111_177
<=> p1(f(sK107)) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_177])]) ).
fof(f1726,plain,
( g(sK107)
| ~ spl111_145
| ~ spl111_148
| ~ spl111_150
| ~ spl111_177 ),
inference(subsumption_resolution,[],[f1725,f1079]) ).
fof(f1079,plain,
( e(sK107)
| ~ spl111_150 ),
inference(avatar_component_clause,[],[f1077]) ).
fof(f1725,plain,
( ~ e(sK107)
| g(sK107)
| ~ spl111_145
| ~ spl111_148
| ~ spl111_177 ),
inference(resolution,[],[f1721,f1070]) ).
fof(f1070,plain,
( ! [X2] :
( c(f(X2))
| ~ e(X2)
| g(X2) )
| ~ spl111_148 ),
inference(avatar_component_clause,[],[f1069]) ).
fof(f1721,plain,
( ~ c(f(sK107))
| ~ spl111_145
| ~ spl111_177 ),
inference(resolution,[],[f1558,f1058]) ).
fof(f1058,plain,
( ! [X4] :
( ~ p1(X4)
| ~ c(X4) )
| ~ spl111_145 ),
inference(avatar_component_clause,[],[f1057]) ).
fof(f1558,plain,
( p1(f(sK107))
| ~ spl111_177 ),
inference(avatar_component_clause,[],[f1556]) ).
fof(f1703,plain,
( spl111_176
| spl111_177
| ~ spl111_147
| ~ spl111_149
| ~ spl111_150 ),
inference(avatar_split_clause,[],[f1702,f1077,f1073,f1065,f1556,f1552]) ).
fof(f1065,plain,
( spl111_147
<=> ! [X5] :
( p1(X5)
| ~ s(sK107,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_147])]) ).
fof(f1073,plain,
( spl111_149
<=> ! [X1] :
( s(X1,f(X1))
| ~ e(X1)
| g(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_149])]) ).
fof(f1702,plain,
( p1(f(sK107))
| g(sK107)
| ~ spl111_147
| ~ spl111_149
| ~ spl111_150 ),
inference(subsumption_resolution,[],[f1575,f1079]) ).
fof(f1575,plain,
( p1(f(sK107))
| ~ e(sK107)
| g(sK107)
| ~ spl111_147
| ~ spl111_149 ),
inference(resolution,[],[f1066,f1074]) ).
fof(f1074,plain,
( ! [X1] :
( s(X1,f(X1))
| ~ e(X1)
| g(X1) )
| ~ spl111_149 ),
inference(avatar_component_clause,[],[f1073]) ).
fof(f1066,plain,
( ! [X5] :
( ~ s(sK107,X5)
| p1(X5) )
| ~ spl111_147 ),
inference(avatar_component_clause,[],[f1065]) ).
fof(f1701,plain,
( ~ spl111_134
| ~ spl111_135
| ~ spl111_136
| ~ spl111_141
| ~ spl111_142 ),
inference(avatar_contradiction_clause,[],[f1700]) ).
fof(f1700,plain,
( $false
| ~ spl111_134
| ~ spl111_135
| ~ spl111_136
| ~ spl111_141
| ~ spl111_142 ),
inference(resolution,[],[f1686,f1040]) ).
fof(f1040,plain,
( r(sK105,sK106)
| ~ spl111_141 ),
inference(avatar_component_clause,[],[f1038]) ).
fof(f1038,plain,
( spl111_141
<=> r(sK105,sK106) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_141])]) ).
fof(f1686,plain,
( ! [X0] : ~ r(sK105,X0)
| ~ spl111_134
| ~ spl111_135
| ~ spl111_136
| ~ spl111_142 ),
inference(resolution,[],[f1675,f1009]) ).
fof(f1009,plain,
( ! [X6,X5] :
( q(X5,X6)
| ~ r(X5,X6) )
| ~ spl111_135 ),
inference(avatar_component_clause,[],[f1008]) ).
fof(f1008,plain,
( spl111_135
<=> ! [X6,X5] :
( q(X5,X6)
| ~ r(X5,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_135])]) ).
fof(f1675,plain,
( ! [X0] : ~ q(sK105,X0)
| ~ spl111_134
| ~ spl111_136
| ~ spl111_142 ),
inference(resolution,[],[f1665,f1005]) ).
fof(f1005,plain,
( ! [X3,X4] :
( ~ p1(X3)
| ~ q(X3,X4) )
| ~ spl111_134 ),
inference(avatar_component_clause,[],[f1004]) ).
fof(f1004,plain,
( spl111_134
<=> ! [X4,X3] :
( ~ q(X3,X4)
| ~ p1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_134])]) ).
fof(f1665,plain,
( p1(sK105)
| ~ spl111_136
| ~ spl111_142 ),
inference(resolution,[],[f1045,f1013]) ).
fof(f1013,plain,
( ! [X7] :
( ~ s1(X7)
| p1(X7) )
| ~ spl111_136 ),
inference(avatar_component_clause,[],[f1012]) ).
fof(f1012,plain,
( spl111_136
<=> ! [X7] :
( p1(X7)
| ~ s1(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_136])]) ).
fof(f1045,plain,
( s1(sK105)
| ~ spl111_142 ),
inference(avatar_component_clause,[],[f1043]) ).
fof(f1043,plain,
( spl111_142
<=> s1(sK105) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_142])]) ).
fof(f1664,plain,
( ~ spl111_134
| ~ spl111_135
| ~ spl111_136
| ~ spl111_137
| ~ spl111_138 ),
inference(avatar_contradiction_clause,[],[f1663]) ).
fof(f1663,plain,
( $false
| ~ spl111_134
| ~ spl111_135
| ~ spl111_136
| ~ spl111_137
| ~ spl111_138 ),
inference(resolution,[],[f1642,f1018]) ).
fof(f1018,plain,
( r(sK102,sK103)
| ~ spl111_137 ),
inference(avatar_component_clause,[],[f1016]) ).
fof(f1016,plain,
( spl111_137
<=> r(sK102,sK103) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_137])]) ).
fof(f1642,plain,
( ! [X0] : ~ r(sK102,X0)
| ~ spl111_134
| ~ spl111_135
| ~ spl111_136
| ~ spl111_138 ),
inference(resolution,[],[f1614,f1009]) ).
fof(f1614,plain,
( ! [X0] : ~ q(sK102,X0)
| ~ spl111_134
| ~ spl111_136
| ~ spl111_138 ),
inference(resolution,[],[f1608,f1005]) ).
fof(f1608,plain,
( p1(sK102)
| ~ spl111_136
| ~ spl111_138 ),
inference(resolution,[],[f1023,f1013]) ).
fof(f1023,plain,
( s1(sK102)
| ~ spl111_138 ),
inference(avatar_component_clause,[],[f1021]) ).
fof(f1021,plain,
( spl111_138
<=> s1(sK102) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_138])]) ).
fof(f1595,plain,
( ~ spl111_11
| spl111_79 ),
inference(avatar_contradiction_clause,[],[f1592]) ).
fof(f1592,plain,
( $false
| ~ spl111_11
| spl111_79 ),
inference(resolution,[],[f444,f752]) ).
fof(f752,plain,
( ~ p1(sK85)
| spl111_79 ),
inference(avatar_component_clause,[],[f751]) ).
fof(f751,plain,
( spl111_79
<=> p1(sK85) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_79])]) ).
fof(f1578,plain,
( ~ spl111_116
| ~ spl111_117
| ~ spl111_119 ),
inference(avatar_contradiction_clause,[],[f1577]) ).
fof(f1577,plain,
( $false
| ~ spl111_116
| ~ spl111_117
| ~ spl111_119 ),
inference(resolution,[],[f1568,f935]) ).
fof(f935,plain,
( q1(f(sK95))
| ~ spl111_119 ),
inference(avatar_component_clause,[],[f933]) ).
fof(f933,plain,
( spl111_119
<=> q1(f(sK95)) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_119])]) ).
fof(f1568,plain,
( ! [X0] : ~ q1(f(X0))
| ~ spl111_116
| ~ spl111_117 ),
inference(resolution,[],[f927,f922]) ).
fof(f927,plain,
( ! [X3] : p1(f(X3))
| ~ spl111_117 ),
inference(avatar_component_clause,[],[f926]) ).
fof(f926,plain,
( spl111_117
<=> ! [X3] : p1(f(X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_117])]) ).
fof(f1570,plain,
( ~ spl111_46
| ~ spl111_116
| ~ spl111_117 ),
inference(avatar_contradiction_clause,[],[f1569]) ).
fof(f1569,plain,
( $false
| ~ spl111_46
| ~ spl111_116
| ~ spl111_117 ),
inference(subsumption_resolution,[],[f1568,f603]) ).
fof(f603,plain,
( ! [X2] : q1(f(X2))
| ~ spl111_46 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f602,plain,
( spl111_46
<=> ! [X2] : q1(f(X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_46])]) ).
fof(f1565,plain,
( spl111_53
| ~ spl111_46
| ~ spl111_116
| ~ spl111_169 ),
inference(avatar_split_clause,[],[f1564,f1159,f921,f602,f634]) ).
fof(f1159,plain,
( spl111_169
<=> ! [X3] :
( r1(X3)
| p1(f(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_169])]) ).
fof(f1564,plain,
( ! [X0] : r1(X0)
| ~ spl111_46
| ~ spl111_116
| ~ spl111_169 ),
inference(subsumption_resolution,[],[f1563,f603]) ).
fof(f1563,plain,
( ! [X0] :
( r1(X0)
| ~ q1(f(X0)) )
| ~ spl111_116
| ~ spl111_169 ),
inference(resolution,[],[f1160,f922]) ).
fof(f1160,plain,
( ! [X3] :
( p1(f(X3))
| r1(X3) )
| ~ spl111_169 ),
inference(avatar_component_clause,[],[f1159]) ).
fof(f1545,plain,
( spl111_110
| ~ spl111_72
| ~ spl111_111 ),
inference(avatar_split_clause,[],[f1542,f900,f719,f895]) ).
fof(f895,plain,
( spl111_110
<=> b(sK94) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_110])]) ).
fof(f719,plain,
( spl111_72
<=> ! [X2] :
( b(X2)
| ~ a1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_72])]) ).
fof(f900,plain,
( spl111_111
<=> a1(sK94) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_111])]) ).
fof(f1542,plain,
( b(sK94)
| ~ spl111_72
| ~ spl111_111 ),
inference(resolution,[],[f720,f902]) ).
fof(f902,plain,
( a1(sK94)
| ~ spl111_111 ),
inference(avatar_component_clause,[],[f900]) ).
fof(f720,plain,
( ! [X2] :
( ~ a1(X2)
| b(X2) )
| ~ spl111_72 ),
inference(avatar_component_clause,[],[f719]) ).
fof(f1539,plain,
( spl111_72
| ~ spl111_109
| ~ spl111_112 ),
inference(avatar_split_clause,[],[f1538,f905,f891,f719]) ).
fof(f891,plain,
( spl111_109
<=> ! [X0] :
( ~ c(X0)
| ~ a1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_109])]) ).
fof(f905,plain,
( spl111_112
<=> ! [X2] :
( c(X2)
| ~ a1(X2)
| b(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_112])]) ).
fof(f1538,plain,
( ! [X2] :
( ~ a1(X2)
| b(X2) )
| ~ spl111_109
| ~ spl111_112 ),
inference(subsumption_resolution,[],[f906,f892]) ).
fof(f892,plain,
( ! [X0] :
( ~ c(X0)
| ~ a1(X0) )
| ~ spl111_109 ),
inference(avatar_component_clause,[],[f891]) ).
fof(f906,plain,
( ! [X2] :
( c(X2)
| ~ a1(X2)
| b(X2) )
| ~ spl111_112 ),
inference(avatar_component_clause,[],[f905]) ).
fof(f1537,plain,
( spl111_168
| ~ spl111_53
| ~ spl111_167 ),
inference(avatar_split_clause,[],[f1536,f1150,f634,f1155]) ).
fof(f1155,plain,
( spl111_168
<=> ! [X0,X1] : ~ sP0(X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_168])]) ).
fof(f1150,plain,
( spl111_167
<=> ! [X0,X1] :
( ~ r1(X0)
| ~ sP0(X0,X1)
| ~ r1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_167])]) ).
fof(f1536,plain,
( ! [X0,X1] : ~ sP0(X0,X1)
| ~ spl111_53
| ~ spl111_167 ),
inference(subsumption_resolution,[],[f1535,f635]) ).
fof(f1535,plain,
( ! [X0,X1] :
( ~ sP0(X0,X1)
| ~ r1(X1) )
| ~ spl111_53
| ~ spl111_167 ),
inference(subsumption_resolution,[],[f1151,f635]) ).
fof(f1151,plain,
( ! [X0,X1] :
( ~ sP0(X0,X1)
| ~ r1(X0)
| ~ r1(X1) )
| ~ spl111_167 ),
inference(avatar_component_clause,[],[f1150]) ).
fof(f1531,plain,
( ~ spl111_46
| spl111_119 ),
inference(avatar_contradiction_clause,[],[f1530]) ).
fof(f1530,plain,
( $false
| ~ spl111_46
| spl111_119 ),
inference(subsumption_resolution,[],[f934,f603]) ).
fof(f934,plain,
( ~ q1(f(sK95))
| spl111_119 ),
inference(avatar_component_clause,[],[f933]) ).
fof(f1519,plain,
( spl111_51
| ~ spl111_53 ),
inference(avatar_contradiction_clause,[],[f1518]) ).
fof(f1518,plain,
( $false
| spl111_51
| ~ spl111_53 ),
inference(resolution,[],[f635,f626]) ).
fof(f626,plain,
( ~ r1(sK77)
| spl111_51 ),
inference(avatar_component_clause,[],[f624]) ).
fof(f624,plain,
( spl111_51
<=> r1(sK77) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_51])]) ).
fof(f1517,plain,
( spl111_53
| ~ spl111_7
| ~ spl111_169 ),
inference(avatar_split_clause,[],[f1516,f1159,f426,f634]) ).
fof(f426,plain,
( spl111_7
<=> ! [X0] : ~ p1(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_7])]) ).
fof(f1516,plain,
( ! [X3] : r1(X3)
| ~ spl111_7
| ~ spl111_169 ),
inference(subsumption_resolution,[],[f1160,f427]) ).
fof(f427,plain,
( ! [X0] : ~ p1(X0)
| ~ spl111_7 ),
inference(avatar_component_clause,[],[f426]) ).
fof(f1515,plain,
( ~ spl111_45
| ~ spl111_168 ),
inference(avatar_contradiction_clause,[],[f1514]) ).
fof(f1514,plain,
( $false
| ~ spl111_45
| ~ spl111_168 ),
inference(subsumption_resolution,[],[f599,f1156]) ).
fof(f1156,plain,
( ! [X0,X1] : ~ sP0(X0,X1)
| ~ spl111_168 ),
inference(avatar_component_clause,[],[f1155]) ).
fof(f599,plain,
( sP0(sK73,sK74)
| ~ spl111_45 ),
inference(avatar_component_clause,[],[f597]) ).
fof(f597,plain,
( spl111_45
<=> sP0(sK73,sK74) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_45])]) ).
fof(f1509,plain,
( ~ spl111_7
| ~ spl111_79 ),
inference(avatar_contradiction_clause,[],[f1508]) ).
fof(f1508,plain,
( $false
| ~ spl111_7
| ~ spl111_79 ),
inference(subsumption_resolution,[],[f753,f427]) ).
fof(f753,plain,
( p1(sK85)
| ~ spl111_79 ),
inference(avatar_component_clause,[],[f751]) ).
fof(f1507,plain,
( ~ spl111_7
| ~ spl111_52 ),
inference(avatar_contradiction_clause,[],[f1506]) ).
fof(f1506,plain,
( $false
| ~ spl111_7
| ~ spl111_52 ),
inference(subsumption_resolution,[],[f631,f427]) ).
fof(f631,plain,
( p1(sK76)
| ~ spl111_52 ),
inference(avatar_component_clause,[],[f629]) ).
fof(f629,plain,
( spl111_52
<=> p1(sK76) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_52])]) ).
fof(f1505,plain,
( ~ spl111_89
| ~ spl111_91
| ~ spl111_94 ),
inference(avatar_contradiction_clause,[],[f1503]) ).
fof(f1503,plain,
( $false
| ~ spl111_89
| ~ spl111_91
| ~ spl111_94 ),
inference(resolution,[],[f1499,f804]) ).
fof(f804,plain,
( q(f(sK88),sK88)
| ~ spl111_91 ),
inference(avatar_component_clause,[],[f802]) ).
fof(f802,plain,
( spl111_91
<=> q(f(sK88),sK88) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_91])]) ).
fof(f1499,plain,
( ! [X0] : ~ q(f(X0),X0)
| ~ spl111_89
| ~ spl111_94 ),
inference(resolution,[],[f816,f796]) ).
fof(f796,plain,
( ! [X2,X1] :
( ~ p(X1,X2)
| ~ q(X1,X2) )
| ~ spl111_89 ),
inference(avatar_component_clause,[],[f795]) ).
fof(f795,plain,
( spl111_89
<=> ! [X2,X1] :
( ~ q(X1,X2)
| ~ p(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_89])]) ).
fof(f816,plain,
( ! [X3] : p(f(X3),X3)
| ~ spl111_94 ),
inference(avatar_component_clause,[],[f815]) ).
fof(f815,plain,
( spl111_94
<=> ! [X3] : p(f(X3),X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_94])]) ).
fof(f1497,plain,
( ~ spl111_90
| ~ spl111_94 ),
inference(avatar_contradiction_clause,[],[f1496]) ).
fof(f1496,plain,
( $false
| ~ spl111_90
| ~ spl111_94 ),
inference(subsumption_resolution,[],[f816,f800]) ).
fof(f800,plain,
( ! [X2,X1] : ~ p(X1,X2)
| ~ spl111_90 ),
inference(avatar_component_clause,[],[f799]) ).
fof(f799,plain,
( spl111_90
<=> ! [X2,X1] : ~ p(X1,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_90])]) ).
fof(f1493,plain,
( ~ spl111_85
| ~ spl111_93 ),
inference(avatar_contradiction_clause,[],[f1492]) ).
fof(f1492,plain,
( $false
| ~ spl111_85
| ~ spl111_93 ),
inference(resolution,[],[f777,f813]) ).
fof(f813,plain,
( r1(sK88)
| ~ spl111_93 ),
inference(avatar_component_clause,[],[f811]) ).
fof(f811,plain,
( spl111_93
<=> r1(sK88) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_93])]) ).
fof(f1489,plain,
( spl111_85
| ~ spl111_90
| ~ spl111_92 ),
inference(avatar_split_clause,[],[f1488,f807,f799,f776]) ).
fof(f807,plain,
( spl111_92
<=> ! [X3] :
( p(f(X3),X3)
| ~ r1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_92])]) ).
fof(f1488,plain,
( ! [X0] : ~ r1(X0)
| ~ spl111_90
| ~ spl111_92 ),
inference(resolution,[],[f800,f808]) ).
fof(f808,plain,
( ! [X3] :
( p(f(X3),X3)
| ~ r1(X3) )
| ~ spl111_92 ),
inference(avatar_component_clause,[],[f807]) ).
fof(f1487,plain,
( ~ spl111_89
| ~ spl111_91
| ~ spl111_92
| ~ spl111_93 ),
inference(avatar_contradiction_clause,[],[f1486]) ).
fof(f1486,plain,
( $false
| ~ spl111_89
| ~ spl111_91
| ~ spl111_92
| ~ spl111_93 ),
inference(subsumption_resolution,[],[f1484,f813]) ).
fof(f1484,plain,
( ~ r1(sK88)
| ~ spl111_89
| ~ spl111_91
| ~ spl111_92 ),
inference(resolution,[],[f1481,f804]) ).
fof(f1481,plain,
( ! [X0] :
( ~ q(f(X0),X0)
| ~ r1(X0) )
| ~ spl111_89
| ~ spl111_92 ),
inference(resolution,[],[f808,f796]) ).
fof(f1480,plain,
( spl111_126
| ~ spl111_172 ),
inference(avatar_split_clause,[],[f1478,f1217,f968]) ).
fof(f968,plain,
( spl111_126
<=> ! [X2,X3] : p(X2,X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_126])]) ).
fof(f1217,plain,
( spl111_172
<=> ! [X2,X3] : sP4(sK54(X2),X3,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_172])]) ).
fof(f1478,plain,
( ! [X0,X1] : p(X0,X1)
| ~ spl111_172 ),
inference(resolution,[],[f1218,f376]) ).
fof(f376,plain,
! [X2,X0,X1] :
( ~ sP4(X0,X1,X2)
| p(X2,X1) ),
inference(cnf_transformation,[],[f224]) ).
fof(f224,plain,
! [X0,X1,X2] :
( ( ~ p(X1,X0)
& p(X1,X2)
& p(X2,X1) )
| ~ sP4(X0,X1,X2) ),
inference(rectify,[],[f223]) ).
fof(f223,plain,
! [X43,X44,X42] :
( ( ~ p(X44,X43)
& p(X44,X42)
& p(X42,X44) )
| ~ sP4(X43,X44,X42) ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X43,X44,X42] :
( ( ~ p(X44,X43)
& p(X44,X42)
& p(X42,X44) )
| ~ sP4(X43,X44,X42) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f1218,plain,
( ! [X2,X3] : sP4(sK54(X2),X3,X2)
| ~ spl111_172 ),
inference(avatar_component_clause,[],[f1217]) ).
fof(f1430,plain,
( spl111_172
| ~ spl111_16
| ~ spl111_173 ),
inference(avatar_split_clause,[],[f1428,f1220,f464,f1217]) ).
fof(f464,plain,
( spl111_16
<=> ! [X2,X0,X3] :
( sP4(sK54(X0),X2,X0)
| ~ p(X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_16])]) ).
fof(f1220,plain,
( spl111_173
<=> ! [X0,X1] : sP4(sK54(X0),sK54(X1),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_173])]) ).
fof(f1428,plain,
( ! [X0,X1] : sP4(sK54(X0),X1,X0)
| ~ spl111_16
| ~ spl111_173 ),
inference(resolution,[],[f1423,f465]) ).
fof(f465,plain,
( ! [X2,X3,X0] :
( ~ p(X3,X2)
| sP4(sK54(X0),X2,X0) )
| ~ spl111_16 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f1423,plain,
( ! [X0,X1] : p(sK54(X0),X1)
| ~ spl111_173 ),
inference(resolution,[],[f1221,f377]) ).
fof(f377,plain,
! [X2,X0,X1] :
( ~ sP4(X0,X1,X2)
| p(X1,X2) ),
inference(cnf_transformation,[],[f224]) ).
fof(f1221,plain,
( ! [X0,X1] : sP4(sK54(X0),sK54(X1),X0)
| ~ spl111_173 ),
inference(avatar_component_clause,[],[f1220]) ).
fof(f1418,plain,
( ~ spl111_16
| ~ spl111_126 ),
inference(avatar_contradiction_clause,[],[f1417]) ).
fof(f1417,plain,
( $false
| ~ spl111_16
| ~ spl111_126 ),
inference(subsumption_resolution,[],[f1416,f1354]) ).
fof(f1354,plain,
( ! [X2,X0,X1] : ~ sP4(X0,X1,X2)
| ~ spl111_126 ),
inference(resolution,[],[f969,f378]) ).
fof(f378,plain,
! [X2,X0,X1] :
( ~ p(X1,X0)
| ~ sP4(X0,X1,X2) ),
inference(cnf_transformation,[],[f224]) ).
fof(f969,plain,
( ! [X2,X3] : p(X2,X3)
| ~ spl111_126 ),
inference(avatar_component_clause,[],[f968]) ).
fof(f1416,plain,
( ! [X2,X0] : sP4(sK54(X0),X2,X0)
| ~ spl111_16
| ~ spl111_126 ),
inference(subsumption_resolution,[],[f465,f969]) ).
fof(f1406,plain,
( ~ spl111_46
| ~ spl111_118 ),
inference(avatar_contradiction_clause,[],[f1405]) ).
fof(f1405,plain,
( $false
| ~ spl111_46
| ~ spl111_118 ),
inference(subsumption_resolution,[],[f603,f930]) ).
fof(f930,plain,
( ! [X2] : ~ q1(X2)
| ~ spl111_118 ),
inference(avatar_component_clause,[],[f929]) ).
fof(f1399,plain,
( ~ spl111_59
| ~ spl111_61 ),
inference(avatar_contradiction_clause,[],[f1398]) ).
fof(f1398,plain,
( $false
| ~ spl111_59
| ~ spl111_61 ),
inference(subsumption_resolution,[],[f671,f662]) ).
fof(f662,plain,
( ! [X0] : ~ b(X0)
| ~ spl111_59 ),
inference(avatar_component_clause,[],[f661]) ).
fof(f661,plain,
( spl111_59
<=> ! [X0] : ~ b(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_59])]) ).
fof(f671,plain,
( b(sK80)
| ~ spl111_61 ),
inference(avatar_component_clause,[],[f669]) ).
fof(f669,plain,
( spl111_61
<=> b(sK80) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_61])]) ).
fof(f1397,plain,
( spl111_60
| ~ spl111_63
| ~ spl111_64 ),
inference(avatar_split_clause,[],[f1396,f682,f678,f665]) ).
fof(f665,plain,
( spl111_60
<=> ! [X0] : ~ a1(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_60])]) ).
fof(f678,plain,
( spl111_63
<=> ! [X0] :
( ~ b(X0)
| ~ a1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_63])]) ).
fof(f682,plain,
( spl111_64
<=> ! [X1] : b(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_64])]) ).
fof(f1396,plain,
( ! [X0] : ~ a1(X0)
| ~ spl111_63
| ~ spl111_64 ),
inference(subsumption_resolution,[],[f679,f683]) ).
fof(f683,plain,
( ! [X1] : b(X1)
| ~ spl111_64 ),
inference(avatar_component_clause,[],[f682]) ).
fof(f679,plain,
( ! [X0] :
( ~ b(X0)
| ~ a1(X0) )
| ~ spl111_63 ),
inference(avatar_component_clause,[],[f678]) ).
fof(f1391,plain,
( ~ spl111_60
| ~ spl111_65 ),
inference(avatar_contradiction_clause,[],[f1390]) ).
fof(f1390,plain,
( $false
| ~ spl111_60
| ~ spl111_65 ),
inference(subsumption_resolution,[],[f688,f666]) ).
fof(f666,plain,
( ! [X0] : ~ a1(X0)
| ~ spl111_60 ),
inference(avatar_component_clause,[],[f665]) ).
fof(f688,plain,
( a1(sK81)
| ~ spl111_65 ),
inference(avatar_component_clause,[],[f686]) ).
fof(f686,plain,
( spl111_65
<=> a1(sK81) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_65])]) ).
fof(f1389,plain,
( ~ spl111_118
| ~ spl111_119 ),
inference(avatar_contradiction_clause,[],[f1388]) ).
fof(f1388,plain,
( $false
| ~ spl111_118
| ~ spl111_119 ),
inference(subsumption_resolution,[],[f935,f930]) ).
fof(f1387,plain,
( spl111_124
| ~ spl111_126 ),
inference(avatar_contradiction_clause,[],[f1386]) ).
fof(f1386,plain,
( $false
| spl111_124
| ~ spl111_126 ),
inference(subsumption_resolution,[],[f960,f969]) ).
fof(f960,plain,
( ~ p(sK99,sK100)
| spl111_124 ),
inference(avatar_component_clause,[],[f958]) ).
fof(f958,plain,
( spl111_124
<=> p(sK99,sK100) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_124])]) ).
fof(f1381,plain,
( ~ spl111_60
| ~ spl111_71 ),
inference(avatar_contradiction_clause,[],[f1380]) ).
fof(f1380,plain,
( $false
| ~ spl111_60
| ~ spl111_71 ),
inference(subsumption_resolution,[],[f716,f666]) ).
fof(f716,plain,
( a1(sK83)
| ~ spl111_71 ),
inference(avatar_component_clause,[],[f714]) ).
fof(f714,plain,
( spl111_71
<=> a1(sK83) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_71])]) ).
fof(f1377,plain,
( spl111_60
| ~ spl111_59
| ~ spl111_72 ),
inference(avatar_split_clause,[],[f1374,f719,f661,f665]) ).
fof(f1374,plain,
( ! [X2] : ~ a1(X2)
| ~ spl111_59
| ~ spl111_72 ),
inference(subsumption_resolution,[],[f720,f662]) ).
fof(f1373,plain,
( ~ spl111_7
| ~ spl111_21 ),
inference(avatar_contradiction_clause,[],[f1372]) ).
fof(f1372,plain,
( $false
| ~ spl111_7
| ~ spl111_21 ),
inference(subsumption_resolution,[],[f489,f427]) ).
fof(f489,plain,
( p1(sK57)
| ~ spl111_21 ),
inference(avatar_component_clause,[],[f487]) ).
fof(f487,plain,
( spl111_21
<=> p1(sK57) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_21])]) ).
fof(f1371,plain,
( ~ spl111_7
| ~ spl111_22 ),
inference(avatar_contradiction_clause,[],[f1370]) ).
fof(f1370,plain,
( $false
| ~ spl111_7
| ~ spl111_22 ),
inference(subsumption_resolution,[],[f493,f427]) ).
fof(f493,plain,
( p1(sK56)
| ~ spl111_22 ),
inference(avatar_component_clause,[],[f491]) ).
fof(f491,plain,
( spl111_22
<=> p1(sK56) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_22])]) ).
fof(f1369,plain,
( ~ spl111_34
| ~ spl111_35 ),
inference(avatar_contradiction_clause,[],[f1368]) ).
fof(f1368,plain,
( $false
| ~ spl111_34
| ~ spl111_35 ),
inference(subsumption_resolution,[],[f1366,f1364]) ).
fof(f1364,plain,
( a(sK66,sK66)
| ~ spl111_34 ),
inference(factoring,[],[f546]) ).
fof(f546,plain,
( ! [X1] :
( a(X1,sK66)
| a(X1,X1) )
| ~ spl111_34 ),
inference(avatar_component_clause,[],[f545]) ).
fof(f545,plain,
( spl111_34
<=> ! [X1] :
( a(X1,sK66)
| a(X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_34])]) ).
fof(f1366,plain,
( ~ a(sK66,sK66)
| ~ spl111_34
| ~ spl111_35 ),
inference(resolution,[],[f550,f1364]) ).
fof(f550,plain,
( ! [X1] :
( ~ a(X1,sK66)
| ~ a(X1,X1) )
| ~ spl111_35 ),
inference(avatar_component_clause,[],[f549]) ).
fof(f549,plain,
( spl111_35
<=> ! [X1] :
( ~ a(X1,X1)
| ~ a(X1,sK66) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_35])]) ).
fof(f1363,plain,
( ~ spl111_81
| ~ spl111_82 ),
inference(avatar_contradiction_clause,[],[f1362]) ).
fof(f1362,plain,
( $false
| ~ spl111_81
| ~ spl111_82 ),
inference(subsumption_resolution,[],[f765,f761]) ).
fof(f761,plain,
( ! [X0] : ~ a(X0,X0)
| ~ spl111_81 ),
inference(avatar_component_clause,[],[f760]) ).
fof(f760,plain,
( spl111_81
<=> ! [X0] : ~ a(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_81])]) ).
fof(f765,plain,
( ! [X1] : a(sK86(X1),sK86(X1))
| ~ spl111_82 ),
inference(avatar_component_clause,[],[f764]) ).
fof(f764,plain,
( spl111_82
<=> ! [X1] : a(sK86(X1),sK86(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_82])]) ).
fof(f1356,plain,
( ~ spl111_126
| spl111_170 ),
inference(avatar_contradiction_clause,[],[f1355]) ).
fof(f1355,plain,
( $false
| ~ spl111_126
| spl111_170 ),
inference(resolution,[],[f969,f1165]) ).
fof(f1165,plain,
( ~ p(sK109,sK109)
| spl111_170 ),
inference(avatar_component_clause,[],[f1163]) ).
fof(f1163,plain,
( spl111_170
<=> p(sK109,sK109) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_170])]) ).
fof(f1345,plain,
( ~ spl111_37
| ~ spl111_162 ),
inference(avatar_contradiction_clause,[],[f1344]) ).
fof(f1344,plain,
( $false
| ~ spl111_37
| ~ spl111_162 ),
inference(subsumption_resolution,[],[f559,f1127]) ).
fof(f1127,plain,
( ! [X0,X1] : ~ sP3(X0,X1)
| ~ spl111_162 ),
inference(avatar_component_clause,[],[f1126]) ).
fof(f559,plain,
( sP3(sK68,sK67)
| ~ spl111_37 ),
inference(avatar_component_clause,[],[f557]) ).
fof(f557,plain,
( spl111_37
<=> sP3(sK68,sK67) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_37])]) ).
fof(f1343,plain,
( ~ spl111_59
| ~ spl111_69 ),
inference(avatar_contradiction_clause,[],[f1342]) ).
fof(f1342,plain,
( $false
| ~ spl111_59
| ~ spl111_69 ),
inference(subsumption_resolution,[],[f706,f662]) ).
fof(f706,plain,
( b(sK82)
| ~ spl111_69 ),
inference(avatar_component_clause,[],[f704]) ).
fof(f704,plain,
( spl111_69
<=> b(sK82) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_69])]) ).
fof(f1341,plain,
( ~ spl111_67
| spl111_68 ),
inference(avatar_contradiction_clause,[],[f1340]) ).
fof(f1340,plain,
( $false
| ~ spl111_67
| spl111_68 ),
inference(subsumption_resolution,[],[f702,f697]) ).
fof(f697,plain,
( ! [X1] : a1(X1)
| ~ spl111_67 ),
inference(avatar_component_clause,[],[f696]) ).
fof(f696,plain,
( spl111_67
<=> ! [X1] : a1(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_67])]) ).
fof(f702,plain,
( ~ a1(sK82)
| spl111_68 ),
inference(avatar_component_clause,[],[f700]) ).
fof(f700,plain,
( spl111_68
<=> a1(sK82) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_68])]) ).
fof(f1339,plain,
( ~ spl111_7
| ~ spl111_117 ),
inference(avatar_contradiction_clause,[],[f1338]) ).
fof(f1338,plain,
( $false
| ~ spl111_7
| ~ spl111_117 ),
inference(subsumption_resolution,[],[f927,f427]) ).
fof(f1333,plain,
( ~ spl111_40
| ~ spl111_166 ),
inference(avatar_contradiction_clause,[],[f1332]) ).
fof(f1332,plain,
( $false
| ~ spl111_40
| ~ spl111_166 ),
inference(subsumption_resolution,[],[f575,f1147]) ).
fof(f1147,plain,
( ! [X0,X1] : ~ sP1(X0,X1)
| ~ spl111_166 ),
inference(avatar_component_clause,[],[f1146]) ).
fof(f575,plain,
( sP1(sK70,sK69)
| ~ spl111_40 ),
inference(avatar_component_clause,[],[f573]) ).
fof(f573,plain,
( spl111_40
<=> sP1(sK70,sK69) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_40])]) ).
fof(f1326,plain,
( spl111_55
| ~ spl111_56
| ~ spl111_156
| ~ spl111_157
| ~ spl111_159
| ~ spl111_175 ),
inference(avatar_split_clause,[],[f1325,f1302,f1114,f1106,f1102,f647,f642]) ).
fof(f642,plain,
( spl111_55
<=> eq(sK79,sK78) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_55])]) ).
fof(f647,plain,
( spl111_56
<=> eq(sK78,sK79) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_56])]) ).
fof(f1102,plain,
( spl111_156
<=> ! [X0,X1] :
( eq(X0,X1)
| ~ a_member_of(sK108(X0,X1),X0)
| ~ a_member_of(sK108(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_156])]) ).
fof(f1106,plain,
( spl111_157
<=> ! [X0,X1] :
( eq(X0,X1)
| a_member_of(sK108(X0,X1),X0)
| a_member_of(sK108(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_157])]) ).
fof(f1114,plain,
( spl111_159
<=> ! [X0,X1,X3] :
( a_member_of(X3,X1)
| ~ eq(X0,X1)
| ~ a_member_of(X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_159])]) ).
fof(f1302,plain,
( spl111_175
<=> a_member_of(sK108(sK79,sK78),sK78) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_175])]) ).
fof(f1325,plain,
( eq(sK79,sK78)
| ~ spl111_56
| ~ spl111_156
| ~ spl111_157
| ~ spl111_159
| ~ spl111_175 ),
inference(subsumption_resolution,[],[f1310,f1285]) ).
fof(f1285,plain,
( ! [X0] :
( a_member_of(sK108(X0,sK78),X0)
| a_member_of(sK108(X0,sK78),sK79)
| eq(X0,sK78) )
| ~ spl111_56
| ~ spl111_157
| ~ spl111_159 ),
inference(resolution,[],[f1266,f649]) ).
fof(f649,plain,
( eq(sK78,sK79)
| ~ spl111_56 ),
inference(avatar_component_clause,[],[f647]) ).
fof(f1266,plain,
( ! [X2,X0,X1] :
( ~ eq(X1,X2)
| eq(X0,X1)
| a_member_of(sK108(X0,X1),X0)
| a_member_of(sK108(X0,X1),X2) )
| ~ spl111_157
| ~ spl111_159 ),
inference(resolution,[],[f1107,f1115]) ).
fof(f1115,plain,
( ! [X3,X0,X1] :
( ~ a_member_of(X3,X0)
| ~ eq(X0,X1)
| a_member_of(X3,X1) )
| ~ spl111_159 ),
inference(avatar_component_clause,[],[f1114]) ).
fof(f1107,plain,
( ! [X0,X1] :
( a_member_of(sK108(X0,X1),X0)
| a_member_of(sK108(X0,X1),X1)
| eq(X0,X1) )
| ~ spl111_157 ),
inference(avatar_component_clause,[],[f1106]) ).
fof(f1310,plain,
( ~ a_member_of(sK108(sK79,sK78),sK79)
| eq(sK79,sK78)
| ~ spl111_156
| ~ spl111_175 ),
inference(resolution,[],[f1304,f1103]) ).
fof(f1103,plain,
( ! [X0,X1] :
( ~ a_member_of(sK108(X0,X1),X1)
| ~ a_member_of(sK108(X0,X1),X0)
| eq(X0,X1) )
| ~ spl111_156 ),
inference(avatar_component_clause,[],[f1102]) ).
fof(f1304,plain,
( a_member_of(sK108(sK79,sK78),sK78)
| ~ spl111_175 ),
inference(avatar_component_clause,[],[f1302]) ).
fof(f1307,plain,
( spl111_175
| spl111_55
| ~ spl111_56
| ~ spl111_157
| ~ spl111_158 ),
inference(avatar_split_clause,[],[f1306,f1110,f1106,f647,f642,f1302]) ).
fof(f1110,plain,
( spl111_158
<=> ! [X0,X1,X3] :
( a_member_of(X3,X0)
| ~ eq(X0,X1)
| ~ a_member_of(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_158])]) ).
fof(f1306,plain,
( a_member_of(sK108(sK79,sK78),sK78)
| spl111_55
| ~ spl111_56
| ~ spl111_157
| ~ spl111_158 ),
inference(subsumption_resolution,[],[f1293,f644]) ).
fof(f644,plain,
( ~ eq(sK79,sK78)
| spl111_55 ),
inference(avatar_component_clause,[],[f642]) ).
fof(f1293,plain,
( a_member_of(sK108(sK79,sK78),sK78)
| eq(sK79,sK78)
| ~ spl111_56
| ~ spl111_157
| ~ spl111_158 ),
inference(factoring,[],[f1274]) ).
fof(f1274,plain,
( ! [X0] :
( a_member_of(sK108(sK79,X0),X0)
| a_member_of(sK108(sK79,X0),sK78)
| eq(sK79,X0) )
| ~ spl111_56
| ~ spl111_157
| ~ spl111_158 ),
inference(resolution,[],[f1264,f649]) ).
fof(f1264,plain,
( ! [X2,X0,X1] :
( ~ eq(X2,X0)
| eq(X0,X1)
| a_member_of(sK108(X0,X1),X1)
| a_member_of(sK108(X0,X1),X2) )
| ~ spl111_157
| ~ spl111_158 ),
inference(resolution,[],[f1107,f1111]) ).
fof(f1111,plain,
( ! [X3,X0,X1] :
( ~ a_member_of(X3,X1)
| ~ eq(X0,X1)
| a_member_of(X3,X0) )
| ~ spl111_158 ),
inference(avatar_component_clause,[],[f1110]) ).
fof(f1254,plain,
( ~ spl111_7
| ~ spl111_171 ),
inference(avatar_contradiction_clause,[],[f1253]) ).
fof(f1253,plain,
( $false
| ~ spl111_7
| ~ spl111_171 ),
inference(resolution,[],[f427,f1170]) ).
fof(f1170,plain,
( p1(sK110)
| ~ spl111_171 ),
inference(avatar_component_clause,[],[f1168]) ).
fof(f1168,plain,
( spl111_171
<=> p1(sK110) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_171])]) ).
fof(f1252,plain,
( ~ spl111_13
| ~ spl111_154 ),
inference(avatar_contradiction_clause,[],[f1251]) ).
fof(f1251,plain,
( $false
| ~ spl111_13
| ~ spl111_154 ),
inference(subsumption_resolution,[],[f453,f1096]) ).
fof(f1096,plain,
( ! [X0,X1] : ~ sP6(X0,X1)
| ~ spl111_154 ),
inference(avatar_component_clause,[],[f1095]) ).
fof(f453,plain,
( sP6(sK53,sK52)
| ~ spl111_13 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f451,plain,
( spl111_13
<=> sP6(sK53,sK52) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_13])]) ).
fof(f1250,plain,
( ~ spl111_7
| ~ spl111_19 ),
inference(avatar_contradiction_clause,[],[f1249]) ).
fof(f1249,plain,
( $false
| ~ spl111_7
| ~ spl111_19 ),
inference(subsumption_resolution,[],[f479,f427]) ).
fof(f479,plain,
( p1(sK55)
| ~ spl111_19 ),
inference(avatar_component_clause,[],[f477]) ).
fof(f477,plain,
( spl111_19
<=> p1(sK55) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_19])]) ).
fof(f1248,plain,
( ~ spl111_7
| ~ spl111_8 ),
inference(avatar_contradiction_clause,[],[f1247]) ).
fof(f1247,plain,
( $false
| ~ spl111_7
| ~ spl111_8 ),
inference(subsumption_resolution,[],[f432,f427]) ).
fof(f432,plain,
( p1(sK50)
| ~ spl111_8 ),
inference(avatar_component_clause,[],[f430]) ).
fof(f430,plain,
( spl111_8
<=> p1(sK50) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_8])]) ).
fof(f1242,plain,
( ~ spl111_30
| ~ spl111_31 ),
inference(avatar_contradiction_clause,[],[f1241]) ).
fof(f1241,plain,
( $false
| ~ spl111_30
| ~ spl111_31 ),
inference(subsumption_resolution,[],[f534,f529]) ).
fof(f529,plain,
( ! [X2,X3] : ~ a(X2,X3)
| ~ spl111_30 ),
inference(avatar_component_clause,[],[f528]) ).
fof(f528,plain,
( spl111_30
<=> ! [X2,X3] : ~ a(X2,X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_30])]) ).
fof(f534,plain,
( a(sK64,sK65)
| ~ spl111_31 ),
inference(avatar_component_clause,[],[f532]) ).
fof(f532,plain,
( spl111_31
<=> a(sK64,sK65) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_31])]) ).
fof(f1240,plain,
( ~ spl111_30
| ~ spl111_32 ),
inference(avatar_contradiction_clause,[],[f1239]) ).
fof(f1239,plain,
( $false
| ~ spl111_30
| ~ spl111_32 ),
inference(subsumption_resolution,[],[f538,f529]) ).
fof(f538,plain,
( a(sK63,sK62)
| ~ spl111_32 ),
inference(avatar_component_clause,[],[f536]) ).
fof(f536,plain,
( spl111_32
<=> a(sK63,sK62) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_32])]) ).
fof(f1222,plain,
( spl111_172
| spl111_173
| ~ spl111_16
| ~ spl111_17 ),
inference(avatar_split_clause,[],[f1210,f468,f464,f1220,f1217]) ).
fof(f468,plain,
( spl111_17
<=> ! [X2,X0] :
( sP4(sK54(X0),X2,X0)
| p(X2,sK54(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_17])]) ).
fof(f1210,plain,
( ! [X2,X3,X0,X1] :
( sP4(sK54(X0),sK54(X1),X0)
| sP4(sK54(X2),X3,X2) )
| ~ spl111_16
| ~ spl111_17 ),
inference(resolution,[],[f1198,f465]) ).
fof(f1198,plain,
( ! [X2,X0,X1] :
( p(X0,X1)
| sP4(sK54(X2),sK54(X0),X2) )
| ~ spl111_16
| ~ spl111_17 ),
inference(resolution,[],[f1195,f465]) ).
fof(f1195,plain,
( ! [X0,X1] :
( p(X0,sK54(X1))
| p(X1,X0) )
| ~ spl111_17 ),
inference(resolution,[],[f469,f376]) ).
fof(f469,plain,
( ! [X2,X0] :
( sP4(sK54(X0),X2,X0)
| p(X2,sK54(X0)) )
| ~ spl111_17 ),
inference(avatar_component_clause,[],[f468]) ).
fof(f1191,plain,
( ~ spl111_4
| ~ spl111_5 ),
inference(avatar_contradiction_clause,[],[f1190]) ).
fof(f1190,plain,
( $false
| ~ spl111_4
| ~ spl111_5 ),
inference(resolution,[],[f419,f415]) ).
fof(f415,plain,
( ! [X1] : ~ p(X1,sK48)
| ~ spl111_4 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f414,plain,
( spl111_4
<=> ! [X1] : ~ p(X1,sK48) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_4])]) ).
fof(f419,plain,
( ! [X3] : p(sK49,X3)
| ~ spl111_5 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f418,plain,
( spl111_5
<=> ! [X3] : p(sK49,X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_5])]) ).
fof(f1179,plain,
( spl111_48
| ~ spl111_49 ),
inference(avatar_contradiction_clause,[],[f1178]) ).
fof(f1178,plain,
( $false
| spl111_48
| ~ spl111_49 ),
inference(resolution,[],[f616,f612]) ).
fof(f612,plain,
( ~ q1(sK75)
| spl111_48 ),
inference(avatar_component_clause,[],[f610]) ).
fof(f610,plain,
( spl111_48
<=> q1(sK75) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_48])]) ).
fof(f1177,plain,
( ~ spl111_11
| spl111_28 ),
inference(avatar_contradiction_clause,[],[f1176]) ).
fof(f1176,plain,
( $false
| ~ spl111_11
| spl111_28 ),
inference(subsumption_resolution,[],[f520,f444]) ).
fof(f520,plain,
( ~ p1(sK61)
| spl111_28 ),
inference(avatar_component_clause,[],[f518]) ).
fof(f518,plain,
( spl111_28
<=> p1(sK61) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_28])]) ).
fof(f1175,plain,
( ~ spl111_11
| spl111_24 ),
inference(avatar_contradiction_clause,[],[f1174]) ).
fof(f1174,plain,
( $false
| ~ spl111_11
| spl111_24 ),
inference(subsumption_resolution,[],[f502,f444]) ).
fof(f502,plain,
( ~ p1(sK59)
| spl111_24 ),
inference(avatar_component_clause,[],[f500]) ).
fof(f500,plain,
( spl111_24
<=> p1(sK59) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_24])]) ).
fof(f1173,plain,
( spl111_44
| spl111_120
| spl111_113
| spl111_108
| spl111_144
| spl111_140
| spl111_41
| spl111_105
| spl111_102
| spl111_80
| spl111_133
| spl111_39
| spl111_76
| spl111_38
| spl111_73
| spl111_36
| spl111_70
| spl111_66
| spl111_33
| spl111_62
| spl111_58
| spl111_29
| spl111_26
| spl111_23
| spl111_20
| spl111_18
| spl111_15
| spl111_54
| spl111_12
| spl111_9
| spl111_98
| spl111_50
| spl111_6
| spl111_3
| spl111_1
| spl111_171
| spl111_126
| spl111_47
| spl111_97
| spl111_95
| spl111_123
| spl111_88
| spl111_84 ),
inference(avatar_split_clause,[],[f395,f772,f791,f954,f819,f831,f606,f968,f1168,f400,f410,f422,f620,f839,f435,f447,f638,f460,f472,f482,f496,f510,f524,f657,f674,f541,f691,f709,f553,f723,f563,f737,f569,f1000,f756,f858,f872,f579,f1031,f1053,f887,f909,f938,f593]) ).
fof(f593,plain,
( spl111_44
<=> sP31 ),
introduced(avatar_definition,[new_symbols(naming,[spl111_44])]) ).
fof(f938,plain,
( spl111_120
<=> sP11 ),
introduced(avatar_definition,[new_symbols(naming,[spl111_120])]) ).
fof(f909,plain,
( spl111_113
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl111_113])]) ).
fof(f887,plain,
( spl111_108
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl111_108])]) ).
fof(f1053,plain,
( spl111_144
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl111_144])]) ).
fof(f1031,plain,
( spl111_140
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl111_140])]) ).
fof(f579,plain,
( spl111_41
<=> sP32 ),
introduced(avatar_definition,[new_symbols(naming,[spl111_41])]) ).
fof(f872,plain,
( spl111_105
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl111_105])]) ).
fof(f858,plain,
( spl111_102
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl111_102])]) ).
fof(f756,plain,
( spl111_80
<=> sP21 ),
introduced(avatar_definition,[new_symbols(naming,[spl111_80])]) ).
fof(f1000,plain,
( spl111_133
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl111_133])]) ).
fof(f569,plain,
( spl111_39
<=> sP33 ),
introduced(avatar_definition,[new_symbols(naming,[spl111_39])]) ).
fof(f737,plain,
( spl111_76
<=> sP22 ),
introduced(avatar_definition,[new_symbols(naming,[spl111_76])]) ).
fof(f563,plain,
( spl111_38
<=> sP34 ),
introduced(avatar_definition,[new_symbols(naming,[spl111_38])]) ).
fof(f723,plain,
( spl111_73
<=> sP23 ),
introduced(avatar_definition,[new_symbols(naming,[spl111_73])]) ).
fof(f553,plain,
( spl111_36
<=> sP35 ),
introduced(avatar_definition,[new_symbols(naming,[spl111_36])]) ).
fof(f709,plain,
( spl111_70
<=> sP24 ),
introduced(avatar_definition,[new_symbols(naming,[spl111_70])]) ).
fof(f691,plain,
( spl111_66
<=> sP25 ),
introduced(avatar_definition,[new_symbols(naming,[spl111_66])]) ).
fof(f541,plain,
( spl111_33
<=> sP36 ),
introduced(avatar_definition,[new_symbols(naming,[spl111_33])]) ).
fof(f674,plain,
( spl111_62
<=> sP26 ),
introduced(avatar_definition,[new_symbols(naming,[spl111_62])]) ).
fof(f657,plain,
( spl111_58
<=> sP27 ),
introduced(avatar_definition,[new_symbols(naming,[spl111_58])]) ).
fof(f524,plain,
( spl111_29
<=> sP37 ),
introduced(avatar_definition,[new_symbols(naming,[spl111_29])]) ).
fof(f510,plain,
( spl111_26
<=> sP38 ),
introduced(avatar_definition,[new_symbols(naming,[spl111_26])]) ).
fof(f496,plain,
( spl111_23
<=> sP39 ),
introduced(avatar_definition,[new_symbols(naming,[spl111_23])]) ).
fof(f482,plain,
( spl111_20
<=> sP40 ),
introduced(avatar_definition,[new_symbols(naming,[spl111_20])]) ).
fof(f472,plain,
( spl111_18
<=> sP41 ),
introduced(avatar_definition,[new_symbols(naming,[spl111_18])]) ).
fof(f460,plain,
( spl111_15
<=> sP42 ),
introduced(avatar_definition,[new_symbols(naming,[spl111_15])]) ).
fof(f638,plain,
( spl111_54
<=> sP28 ),
introduced(avatar_definition,[new_symbols(naming,[spl111_54])]) ).
fof(f447,plain,
( spl111_12
<=> sP43 ),
introduced(avatar_definition,[new_symbols(naming,[spl111_12])]) ).
fof(f435,plain,
( spl111_9
<=> sP44 ),
introduced(avatar_definition,[new_symbols(naming,[spl111_9])]) ).
fof(f839,plain,
( spl111_98
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl111_98])]) ).
fof(f620,plain,
( spl111_50
<=> sP29 ),
introduced(avatar_definition,[new_symbols(naming,[spl111_50])]) ).
fof(f422,plain,
( spl111_6
<=> sP45 ),
introduced(avatar_definition,[new_symbols(naming,[spl111_6])]) ).
fof(f410,plain,
( spl111_3
<=> sP46 ),
introduced(avatar_definition,[new_symbols(naming,[spl111_3])]) ).
fof(f400,plain,
( spl111_1
<=> sP47 ),
introduced(avatar_definition,[new_symbols(naming,[spl111_1])]) ).
fof(f606,plain,
( spl111_47
<=> sP30 ),
introduced(avatar_definition,[new_symbols(naming,[spl111_47])]) ).
fof(f831,plain,
( spl111_97
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl111_97])]) ).
fof(f819,plain,
( spl111_95
<=> sP18 ),
introduced(avatar_definition,[new_symbols(naming,[spl111_95])]) ).
fof(f954,plain,
( spl111_123
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl111_123])]) ).
fof(f791,plain,
( spl111_88
<=> sP19 ),
introduced(avatar_definition,[new_symbols(naming,[spl111_88])]) ).
fof(f772,plain,
( spl111_84
<=> sP20 ),
introduced(avatar_definition,[new_symbols(naming,[spl111_84])]) ).
fof(f395,plain,
! [X2,X1] :
( sP20
| sP19
| sP10
| sP18
| sP17
| sP30
| p(X1,X2)
| p1(sK110)
| sP47
| sP46
| sP45
| sP29
| sP16
| sP44
| sP43
| sP28
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP27
| sP26
| sP36
| sP25
| sP24
| sP35
| sP23
| sP34
| sP22
| sP33
| sP9
| sP21
| sP15
| sP14
| sP32
| sP8
| sP7
| sP13
| sP12
| sP11
| sP31 ),
inference(cnf_transformation,[],[f235]) ).
fof(f235,plain,
( sP20
| sP19
| sP10
| sP18
| sP17
| sP30
| ( ~ p(sK109,sK109)
& ! [X1,X2] : p(X1,X2) )
| ( ! [X3] : ~ p1(X3)
& p1(sK110) )
| sP47
| sP46
| sP45
| sP29
| sP16
| sP44
| sP43
| sP28
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP27
| sP26
| sP36
| sP25
| sP24
| sP35
| sP23
| sP34
| sP22
| sP33
| sP9
| sP21
| sP15
| sP14
| sP32
| sP8
| sP7
| sP13
| sP12
| sP11
| sP31 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK109,sK110])],[f232,f234,f233]) ).
fof(f233,plain,
( ? [X0] : ~ p(X0,X0)
=> ~ p(sK109,sK109) ),
introduced(choice_axiom,[]) ).
fof(f234,plain,
( ? [X4] : p1(X4)
=> p1(sK110) ),
introduced(choice_axiom,[]) ).
fof(f232,plain,
( sP20
| sP19
| sP10
| sP18
| sP17
| sP30
| ( ? [X0] : ~ p(X0,X0)
& ! [X1,X2] : p(X1,X2) )
| ( ! [X3] : ~ p1(X3)
& ? [X4] : p1(X4) )
| sP47
| sP46
| sP45
| sP29
| sP16
| sP44
| sP43
| sP28
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP27
| sP26
| sP36
| sP25
| sP24
| sP35
| sP23
| sP34
| sP22
| sP33
| sP9
| sP21
| sP15
| sP14
| sP32
| sP8
| sP7
| sP13
| sP12
| sP11
| sP31 ),
inference(rectify,[],[f55]) ).
fof(f55,plain,
( sP20
| sP19
| sP10
| sP18
| sP17
| sP30
| ( ? [X15] : ~ p(X15,X15)
& ! [X13,X14] : p(X13,X14) )
| ( ! [X17] : ~ p1(X17)
& ? [X16] : p1(X16) )
| sP47
| sP46
| sP45
| sP29
| sP16
| sP44
| sP43
| sP28
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP27
| sP26
| sP36
| sP25
| sP24
| sP35
| sP23
| sP34
| sP22
| sP33
| sP9
| sP21
| sP15
| sP14
| sP32
| sP8
| sP7
| sP13
| sP12
| sP11
| sP31 ),
inference(definition_folding,[],[f6,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9,f8,f7]) ).
fof(f7,plain,
! [X136,X137] :
( ! [X139,X140] :
( ~ q1(X139)
| ( ( ~ r1(X136)
| ~ r1(X137) )
& r1(X140) )
| ( ~ p1(X139)
& p1(f(X140)) ) )
| ~ sP0(X136,X137) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f9,plain,
( ( ~ q0
& q0 )
| ( b0
& ~ b0 )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f12,plain,
( ! [X37,X38] :
( eq(X37,X38)
<=> ! [X39] :
( a_member_of(X39,X37)
<=> a_member_of(X39,X38) ) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f14,plain,
( ? [X118] :
! [X119,X120,X121,X122,X123] :
( ( ~ c(X122)
| ~ p1(X122) )
& ( ~ g(X121)
| ~ p1(X121) )
& ( p1(X123)
| ~ s(X118,X123) )
& ( c(f(X120))
| g(X120)
| ~ e(X120) )
& ( s(X119,f(X119))
| g(X119)
| ~ e(X119) )
& e(X118)
& p1(X118) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f15,plain,
( ? [X110,X111,X112] :
( ! [X116,X117] :
( ~ q(X116,X117)
| ~ p1(X116) )
& ! [X113,X114] :
( q(X113,X114)
| ~ r(X113,X114) )
& ! [X115] :
( p1(X115)
| ~ s1(X115) )
& r(X111,X112)
& s1(X111)
& s1(X110) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f16,plain,
( ? [X88,X89,X90] :
( ! [X94,X95] :
( ~ q(X94,X95)
| ~ p1(X94) )
& ! [X91,X92] :
( q(X91,X92)
| ~ r(X91,X92) )
& ! [X93] :
( p1(X93)
| ~ s1(X93) )
& r(X89,X90)
& s1(X89)
& s1(X88) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f17,plain,
( ? [X7,X8] :
! [X9,X10] :
( ~ p(X7,X8)
& s1(X7)
& ( p(X9,X10)
| ~ s1(X7) )
& r1(X8)
& r1(X7)
& ( p(X8,X10)
| ~ r1(X10) )
& q1(X8)
& q1(X7)
& ( p(X9,X7)
| ~ q1(X9) ) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f18,plain,
( ? [X131,X132] :
( ! [X134,X135] :
( ~ q1(X134)
| ( ( ( ( ~ r1(X132)
| ~ r1(X131) )
& r1(X135) )
| ~ p1(X134) )
& p1(f(X135)) ) )
& ! [X133] : q1(f(X133)) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f19,plain,
( ? [X127,X128] :
( ! [X129,X130] :
( ~ q1(X129)
| ( ( ( ( ~ r1(X128)
| ~ r1(X127) )
& r1(X130) )
| ~ p1(X129) )
& p1(f(X130)) ) )
& q1(f(X127)) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f20,plain,
( ( ! [X126] :
( ~ c(X126)
| ~ a1(X126) )
& ? [X124] :
( ~ b(X124)
& a1(X124) )
& ! [X125] :
( c(X125)
| b(X125)
| ~ a1(X125) ) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f21,plain,
( ( ! [X105] :
? [X106] :
( ~ r1(X105)
& ~ p1(X106) )
& ? [X103] : q1(X103)
& ! [X104] : p1(X104) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f22,plain,
( ( ! [X101] :
? [X102] :
( ~ r1(X101)
& ~ p1(X102) )
& ! [X99] :
? [X100] :
( q1(X100)
& p1(X99) ) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f23,plain,
( ? [X28] :
( ~ q1(X28)
& ! [X30] :
( p1(X30)
| ~ r1(X30) )
& r1(X28)
& ! [X29] :
( q1(X29)
| ~ p1(X29) ) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f24,plain,
( ( ~ b0
& ~ a0
& ( a0
<~> b0 ) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f25,plain,
( ( ( a0
<~> b0 )
& b0
& a0 )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f26,plain,
( ? [X3] :
( ! [X5,X6] :
( ( ~ q(X5,X6)
& q(f(X3),X3) )
| ~ p(X5,X6) )
& ! [X4] :
( p(f(X4),X4)
| ( ~ r1(X4)
& r1(X3) ) ) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f27,plain,
( ( ! [X2] :
( ~ r1(X2)
& p1(X2) )
& ? [X0] :
( r1(X0)
| ~ q1(X0) )
& ! [X1] :
( q1(X1)
| ~ p1(X1) ) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f28,plain,
( ( ! [X98] : ~ a(X98,X98)
& ! [X96] :
? [X97] :
( a(X97,X97)
& a(X96,X97) ) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f29,plain,
( ( ( ( sP2
& a0 )
| ! [X83] : ~ p1(X83) )
& ? [X82] : p1(X82) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f30,plain,
( ( ? [X79] : ~ q1(X79)
& ! [X78] : p1(X78)
& ! [X77] :
( q1(X77)
| ~ p1(X77) ) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f31,plain,
( ( ! [X72] : ~ b(X72)
& ? [X71] : a1(X71)
& ! [X70] :
( b(X70)
| ~ a1(X70) ) )
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f32,plain,
( ( ! [X69] : ~ b(X69)
& ! [X68] : a1(X68)
& ? [X67] :
( b(X67)
| ~ a1(X67) ) )
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f33,plain,
( ( ! [X64] :
( ~ b(X64)
| ~ a1(X64) )
& ! [X62] : b(X62)
& ? [X63] : a1(X63) )
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f34,plain,
( ( ! [X61] :
( ~ b(X61)
& ~ a1(X61) )
& ? [X60] : b(X60) )
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f35,plain,
( ( ? [X40,X41] :
( ~ eq(X41,X40)
& eq(X40,X41) )
& sP5 )
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f36,plain,
( ? [X24,X25] :
! [X26,X27] :
( ~ r1(X25)
& p1(X24)
& ( r1(X27)
| ~ p1(X26) ) )
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f37,plain,
( ? [X11] :
( ~ q1(X11)
& ! [X12] :
( q1(X12)
& p1(X12) ) )
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f38,plain,
( ? [X136,X137] :
( sP0(X136,X137)
& ! [X138] : q1(f(X138)) )
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f39,plain,
( ( ? [X108,X109] :
( ~ p1(X109)
| ~ p1(X108) )
& ! [X107] : p1(X107) )
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f40,plain,
( ? [X84,X85] :
( sP1(X85,X84)
& ! [X86] :
( p1(X86)
| ~ q1(X86) ) )
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f41,plain,
( ( ! [X81] : ~ p1(X81)
& ! [X80] : p1(X80) )
| ~ sP34 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f42,plain,
( ? [X73,X74] :
( sP3(X74,X73)
& ! [X75] :
( p1(X75)
| ~ q1(X75) ) )
| ~ sP35 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f43,plain,
( ? [X65] :
! [X66] :
( a(X66,X65)
<=> ~ a(X66,X66) )
| ~ sP36 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f44,plain,
( ( ? [X56,X57] : a(X56,X57)
<~> ? [X58,X59] : a(X59,X58) )
| ~ sP37 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f45,plain,
( ? [X53,X54] :
( ( ~ p1(X54)
| ~ p1(X53) )
& ! [X55] : p1(X55) )
| ~ sP38 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f46,plain,
( ( ( ? [X51] : ~ p1(X51)
| ? [X52] : ~ p1(X52) )
& ! [X50] : p1(X50) )
| ~ sP39 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f47,plain,
( ( ? [X48] : p1(X48)
<~> ? [X49] : p1(X49) )
| ~ sP40 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f48,plain,
( ( ! [X47] : ~ p1(X47)
& ? [X46] : p1(X46) )
| ~ sP41 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f49,plain,
( ! [X42] :
? [X43] :
! [X44] :
( sP4(X43,X44,X42)
| ( ! [X45] : ~ p(X45,X44)
& p(X44,X43) ) )
| ~ sP42 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])]) ).
fof(f50,plain,
( ? [X33,X34] :
( sP6(X34,X33)
& ! [X35] :
( p1(X35)
| ~ q1(X35) ) )
| ~ sP43 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])]) ).
fof(f51,plain,
( ! [X31] :
? [X32] :
( ~ p1(X32)
& p1(X31) )
| ~ sP44 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP44])]) ).
fof(f52,plain,
( ! [X22] :
( ~ p1(X22)
& ? [X23] : p1(X23) )
| ~ sP45 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP45])]) ).
fof(f53,plain,
( ( ? [X20] :
! [X21] : ~ p(X21,X20)
& ? [X18] :
! [X19] : p(X18,X19) )
| ~ sP46 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP46])]) ).
fof(f54,plain,
( ( ~ p1(z)
& p1(z) )
| ~ sP47 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP47])]) ).
fof(f6,plain,
( ( ! [X2] :
( ~ r1(X2)
& p1(X2) )
& ? [X0] :
( r1(X0)
| ~ q1(X0) )
& ! [X1] :
( q1(X1)
| ~ p1(X1) ) )
| ? [X3] :
( ! [X5,X6] :
( ( ~ q(X5,X6)
& q(f(X3),X3) )
| ~ p(X5,X6) )
& ! [X4] :
( p(f(X4),X4)
| ( ~ r1(X4)
& r1(X3) ) ) )
| ? [X7,X8] :
! [X9,X10] :
( ~ p(X7,X8)
& s1(X7)
& ( p(X9,X10)
| ~ s1(X7) )
& r1(X8)
& r1(X7)
& ( p(X8,X10)
| ~ r1(X10) )
& q1(X8)
& q1(X7)
& ( p(X9,X7)
| ~ q1(X9) ) )
| ( ( a0
<~> b0 )
& b0
& a0 )
| ( ~ b0
& ~ a0
& ( a0
<~> b0 ) )
| ? [X11] :
( ~ q1(X11)
& ! [X12] :
( q1(X12)
& p1(X12) ) )
| ( ? [X15] : ~ p(X15,X15)
& ! [X13,X14] : p(X13,X14) )
| ( ! [X17] : ~ p1(X17)
& ? [X16] : p1(X16) )
| ( ~ p1(z)
& p1(z) )
| ( ? [X20] :
! [X21] : ~ p(X21,X20)
& ? [X18] :
! [X19] : p(X18,X19) )
| ! [X22] :
( ~ p1(X22)
& ? [X23] : p1(X23) )
| ? [X24,X25] :
! [X26,X27] :
( ~ r1(X25)
& p1(X24)
& ( r1(X27)
| ~ p1(X26) ) )
| ? [X28] :
( ~ q1(X28)
& ! [X30] :
( p1(X30)
| ~ r1(X30) )
& r1(X28)
& ! [X29] :
( q1(X29)
| ~ p1(X29) ) )
| ! [X31] :
? [X32] :
( ~ p1(X32)
& p1(X31) )
| ? [X33,X34] :
( ! [X36] :
( ( ~ p1(X34)
& q1(X36) )
| ( ~ p1(X33)
& p1(X36) ) )
& ! [X35] :
( p1(X35)
| ~ q1(X35) ) )
| ( ? [X40,X41] :
( ~ eq(X41,X40)
& eq(X40,X41) )
& ! [X37,X38] :
( eq(X37,X38)
<=> ! [X39] :
( a_member_of(X39,X37)
<=> a_member_of(X39,X38) ) ) )
| ! [X42] :
? [X43] :
! [X44] :
( ( ~ p(X44,X43)
& p(X44,X42)
& p(X42,X44) )
| ( ! [X45] : ~ p(X45,X44)
& p(X44,X43) ) )
| ( ! [X47] : ~ p1(X47)
& ? [X46] : p1(X46) )
| ( ? [X48] : p1(X48)
<~> ? [X49] : p1(X49) )
| ( ( ? [X51] : ~ p1(X51)
| ? [X52] : ~ p1(X52) )
& ! [X50] : p1(X50) )
| ? [X53,X54] :
( ( ~ p1(X54)
| ~ p1(X53) )
& ! [X55] : p1(X55) )
| ( ? [X56,X57] : a(X56,X57)
<~> ? [X58,X59] : a(X59,X58) )
| ( ! [X61] :
( ~ b(X61)
& ~ a1(X61) )
& ? [X60] : b(X60) )
| ( ! [X64] :
( ~ b(X64)
| ~ a1(X64) )
& ! [X62] : b(X62)
& ? [X63] : a1(X63) )
| ? [X65] :
! [X66] :
( a(X66,X65)
<=> ~ a(X66,X66) )
| ( ! [X69] : ~ b(X69)
& ! [X68] : a1(X68)
& ? [X67] :
( b(X67)
| ~ a1(X67) ) )
| ( ! [X72] : ~ b(X72)
& ? [X71] : a1(X71)
& ! [X70] :
( b(X70)
| ~ a1(X70) ) )
| ? [X73,X74] :
( ! [X76] :
( ( ~ p1(X74)
& q1(X76) )
| ( ~ p1(X73)
& p1(X76) ) )
& ! [X75] :
( p1(X75)
| ~ q1(X75) ) )
| ( ? [X79] : ~ q1(X79)
& ! [X78] : p1(X78)
& ! [X77] :
( q1(X77)
| ~ p1(X77) ) )
| ( ! [X81] : ~ p1(X81)
& ! [X80] : p1(X80) )
| ( ( ( ( ( ~ q0
& q0 )
| ( b0
& ~ b0 ) )
& a0 )
| ! [X83] : ~ p1(X83) )
& ? [X82] : p1(X82) )
| ? [X84,X85] :
( ! [X87] :
( ( ~ p1(X85)
& q1(X87) )
| ( ~ p1(X84)
& p1(X87) ) )
& ! [X86] :
( p1(X86)
| ~ q1(X86) ) )
| ? [X88,X89,X90] :
( ! [X94,X95] :
( ~ q(X94,X95)
| ~ p1(X94) )
& ! [X91,X92] :
( q(X91,X92)
| ~ r(X91,X92) )
& ! [X93] :
( p1(X93)
| ~ s1(X93) )
& r(X89,X90)
& s1(X89)
& s1(X88) )
| ( ! [X98] : ~ a(X98,X98)
& ! [X96] :
? [X97] :
( a(X97,X97)
& a(X96,X97) ) )
| ( ! [X101] :
? [X102] :
( ~ r1(X101)
& ~ p1(X102) )
& ! [X99] :
? [X100] :
( q1(X100)
& p1(X99) ) )
| ( ! [X105] :
? [X106] :
( ~ r1(X105)
& ~ p1(X106) )
& ? [X103] : q1(X103)
& ! [X104] : p1(X104) )
| ( ? [X108,X109] :
( ~ p1(X109)
| ~ p1(X108) )
& ! [X107] : p1(X107) )
| ? [X110,X111,X112] :
( ! [X116,X117] :
( ~ q(X116,X117)
| ~ p1(X116) )
& ! [X113,X114] :
( q(X113,X114)
| ~ r(X113,X114) )
& ! [X115] :
( p1(X115)
| ~ s1(X115) )
& r(X111,X112)
& s1(X111)
& s1(X110) )
| ? [X118] :
! [X119,X120,X121,X122,X123] :
( ( ~ c(X122)
| ~ p1(X122) )
& ( ~ g(X121)
| ~ p1(X121) )
& ( p1(X123)
| ~ s(X118,X123) )
& ( c(f(X120))
| g(X120)
| ~ e(X120) )
& ( s(X119,f(X119))
| g(X119)
| ~ e(X119) )
& e(X118)
& p1(X118) )
| ( ! [X126] :
( ~ c(X126)
| ~ a1(X126) )
& ? [X124] :
( ~ b(X124)
& a1(X124) )
& ! [X125] :
( c(X125)
| b(X125)
| ~ a1(X125) ) )
| ? [X127,X128] :
( ! [X129,X130] :
( ~ q1(X129)
| ( ( ( ( ~ r1(X128)
| ~ r1(X127) )
& r1(X130) )
| ~ p1(X129) )
& p1(f(X130)) ) )
& q1(f(X127)) )
| ? [X131,X132] :
( ! [X134,X135] :
( ~ q1(X134)
| ( ( ( ( ~ r1(X132)
| ~ r1(X131) )
& r1(X135) )
| ~ p1(X134) )
& p1(f(X135)) ) )
& ! [X133] : q1(f(X133)) )
| ? [X136,X137] :
( ! [X139,X140] :
( ~ q1(X139)
| ( ( ~ r1(X136)
| ~ r1(X137) )
& r1(X140) )
| ( ~ p1(X139)
& p1(f(X140)) ) )
& ! [X138] : q1(f(X138)) ) ),
inference(flattening,[],[f5]) ).
fof(f5,plain,
( ( ! [X2] :
( ~ r1(X2)
& p1(X2) )
& ? [X0] :
( r1(X0)
| ~ q1(X0) )
& ! [X1] :
( q1(X1)
| ~ p1(X1) ) )
| ? [X3] :
( ! [X5,X6] :
( ( ~ q(X5,X6)
& q(f(X3),X3) )
| ~ p(X5,X6) )
& ! [X4] :
( p(f(X4),X4)
| ( ~ r1(X4)
& r1(X3) ) ) )
| ? [X7,X8] :
! [X9,X10] :
( ~ p(X7,X8)
& s1(X7)
& ( p(X9,X10)
| ~ s1(X7) )
& r1(X8)
& r1(X7)
& ( p(X8,X10)
| ~ r1(X10) )
& q1(X8)
& q1(X7)
& ( p(X9,X7)
| ~ q1(X9) ) )
| ( ( a0
<~> b0 )
& b0
& a0 )
| ( ~ b0
& ~ a0
& ( a0
<~> b0 ) )
| ? [X11] :
( ~ q1(X11)
& ! [X12] :
( q1(X12)
& p1(X12) ) )
| ( ? [X15] : ~ p(X15,X15)
& ! [X13,X14] : p(X13,X14) )
| ( ! [X17] : ~ p1(X17)
& ? [X16] : p1(X16) )
| ( ~ p1(z)
& p1(z) )
| ( ? [X20] :
! [X21] : ~ p(X21,X20)
& ? [X18] :
! [X19] : p(X18,X19) )
| ! [X22] :
( ~ p1(X22)
& ? [X23] : p1(X23) )
| ? [X24,X25] :
! [X26,X27] :
( ~ r1(X25)
& p1(X24)
& ( r1(X27)
| ~ p1(X26) ) )
| ? [X28] :
( ~ q1(X28)
& ! [X30] :
( p1(X30)
| ~ r1(X30) )
& r1(X28)
& ! [X29] :
( q1(X29)
| ~ p1(X29) ) )
| ! [X31] :
? [X32] :
( ~ p1(X32)
& p1(X31) )
| ? [X33,X34] :
( ! [X36] :
( ( ~ p1(X34)
& q1(X36) )
| ( ~ p1(X33)
& p1(X36) ) )
& ! [X35] :
( p1(X35)
| ~ q1(X35) ) )
| ( ? [X40,X41] :
( ~ eq(X41,X40)
& eq(X40,X41) )
& ! [X37,X38] :
( eq(X37,X38)
<=> ! [X39] :
( a_member_of(X39,X37)
<=> a_member_of(X39,X38) ) ) )
| ! [X42] :
? [X43] :
! [X44] :
( ( ~ p(X44,X43)
& p(X44,X42)
& p(X42,X44) )
| ( ! [X45] : ~ p(X45,X44)
& p(X44,X43) ) )
| ( ! [X47] : ~ p1(X47)
& ? [X46] : p1(X46) )
| ( ? [X48] : p1(X48)
<~> ? [X49] : p1(X49) )
| ( ( ? [X51] : ~ p1(X51)
| ? [X52] : ~ p1(X52) )
& ! [X50] : p1(X50) )
| ? [X53,X54] :
( ( ~ p1(X54)
| ~ p1(X53) )
& ! [X55] : p1(X55) )
| ( ? [X56,X57] : a(X56,X57)
<~> ? [X58,X59] : a(X59,X58) )
| ( ! [X61] :
( ~ b(X61)
& ~ a1(X61) )
& ? [X60] : b(X60) )
| ( ! [X64] :
( ~ b(X64)
| ~ a1(X64) )
& ! [X62] : b(X62)
& ? [X63] : a1(X63) )
| ? [X65] :
! [X66] :
( a(X66,X65)
<=> ~ a(X66,X66) )
| ( ! [X69] : ~ b(X69)
& ! [X68] : a1(X68)
& ? [X67] :
( b(X67)
| ~ a1(X67) ) )
| ( ! [X72] : ~ b(X72)
& ? [X71] : a1(X71)
& ! [X70] :
( b(X70)
| ~ a1(X70) ) )
| ? [X73,X74] :
( ! [X76] :
( ( ~ p1(X74)
& q1(X76) )
| ( ~ p1(X73)
& p1(X76) ) )
& ! [X75] :
( p1(X75)
| ~ q1(X75) ) )
| ( ? [X79] : ~ q1(X79)
& ! [X78] : p1(X78)
& ! [X77] :
( q1(X77)
| ~ p1(X77) ) )
| ( ! [X81] : ~ p1(X81)
& ! [X80] : p1(X80) )
| ( ( ( ( ( ~ q0
& q0 )
| ( b0
& ~ b0 ) )
& a0 )
| ! [X83] : ~ p1(X83) )
& ? [X82] : p1(X82) )
| ? [X84,X85] :
( ! [X87] :
( ( ~ p1(X85)
& q1(X87) )
| ( ~ p1(X84)
& p1(X87) ) )
& ! [X86] :
( p1(X86)
| ~ q1(X86) ) )
| ? [X88,X89,X90] :
( ! [X94,X95] :
( ~ q(X94,X95)
| ~ p1(X94) )
& ! [X91,X92] :
( q(X91,X92)
| ~ r(X91,X92) )
& ! [X93] :
( p1(X93)
| ~ s1(X93) )
& r(X89,X90)
& s1(X89)
& s1(X88) )
| ( ! [X98] : ~ a(X98,X98)
& ! [X96] :
? [X97] :
( a(X97,X97)
& a(X96,X97) ) )
| ( ! [X101] :
? [X102] :
( ~ r1(X101)
& ~ p1(X102) )
& ! [X99] :
? [X100] :
( q1(X100)
& p1(X99) ) )
| ( ! [X105] :
? [X106] :
( ~ r1(X105)
& ~ p1(X106) )
& ? [X103] : q1(X103)
& ! [X104] : p1(X104) )
| ( ? [X108,X109] :
( ~ p1(X109)
| ~ p1(X108) )
& ! [X107] : p1(X107) )
| ? [X110,X111,X112] :
( ! [X116,X117] :
( ~ q(X116,X117)
| ~ p1(X116) )
& ! [X113,X114] :
( q(X113,X114)
| ~ r(X113,X114) )
& ! [X115] :
( p1(X115)
| ~ s1(X115) )
& r(X111,X112)
& s1(X111)
& s1(X110) )
| ? [X118] :
! [X119,X120,X121,X122,X123] :
( ( ~ c(X122)
| ~ p1(X122) )
& ( ~ g(X121)
| ~ p1(X121) )
& ( p1(X123)
| ~ s(X118,X123) )
& ( c(f(X120))
| g(X120)
| ~ e(X120) )
& ( s(X119,f(X119))
| g(X119)
| ~ e(X119) )
& e(X118)
& p1(X118) )
| ( ! [X126] :
( ~ c(X126)
| ~ a1(X126) )
& ? [X124] :
( ~ b(X124)
& a1(X124) )
& ! [X125] :
( c(X125)
| b(X125)
| ~ a1(X125) ) )
| ? [X127,X128] :
( ! [X129,X130] :
( ~ q1(X129)
| ( ( ( ( ~ r1(X128)
| ~ r1(X127) )
& r1(X130) )
| ~ p1(X129) )
& p1(f(X130)) ) )
& q1(f(X127)) )
| ? [X131,X132] :
( ! [X134,X135] :
( ~ q1(X134)
| ( ( ( ( ~ r1(X132)
| ~ r1(X131) )
& r1(X135) )
| ~ p1(X134) )
& p1(f(X135)) ) )
& ! [X133] : q1(f(X133)) )
| ? [X136,X137] :
( ! [X139,X140] :
( ~ q1(X139)
| ( ( ~ r1(X136)
| ~ r1(X137) )
& r1(X140) )
| ( ~ p1(X139)
& p1(f(X140)) ) )
& ! [X138] : q1(f(X138)) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,plain,
~ ( ( ( ? [X0] :
( q1(X0)
=> r1(X0) )
& ! [X1] :
( p1(X1)
=> q1(X1) ) )
=> ? [X2] :
( p1(X2)
=> r1(X2) ) )
& ! [X3] :
( ! [X4] :
( ( r1(X3)
=> r1(X4) )
=> p(f(X4),X4) )
=> ? [X5,X6] :
( ( q(f(X3),X3)
=> q(X5,X6) )
& p(X5,X6) ) )
& ! [X7,X8] :
? [X9,X10] :
( ( s1(X7)
& ( s1(X7)
=> p(X9,X10) )
& r1(X8)
& r1(X7)
& ( r1(X10)
=> p(X8,X10) )
& q1(X8)
& q1(X7)
& ( q1(X9)
=> p(X9,X7) ) )
=> p(X7,X8) )
& ( ( b0
& a0 )
=> ( a0
<=> b0 ) )
& ( b0
| a0
| ( a0
<=> b0 ) )
& ! [X11] :
( ! [X12] :
( q1(X12)
& p1(X12) )
=> q1(X11) )
& ( ! [X13,X14] : p(X13,X14)
=> ! [X15] : p(X15,X15) )
& ( ? [X16] : p1(X16)
=> ? [X17] : p1(X17) )
& ( p1(z)
=> p1(z) )
& ( ? [X18] :
! [X19] : p(X18,X19)
=> ! [X20] :
? [X21] : p(X21,X20) )
& ? [X22] :
( ? [X23] : p1(X23)
=> p1(X22) )
& ! [X24,X25] :
? [X26,X27] :
( ( p1(X26)
=> r1(X27) )
=> ( p1(X24)
=> r1(X25) ) )
& ! [X28] :
( ( r1(X28)
& ! [X29] :
( p1(X29)
=> q1(X29) ) )
=> ( ! [X30] :
( r1(X30)
=> p1(X30) )
=> q1(X28) ) )
& ? [X31] :
! [X32] :
( p1(X31)
=> p1(X32) )
& ! [X33,X34] :
( ! [X35] :
( q1(X35)
=> p1(X35) )
=> ? [X36] :
( ( q1(X36)
=> p1(X34) )
& ( p1(X36)
=> p1(X33) ) ) )
& ( ! [X37,X38] :
( eq(X37,X38)
<=> ! [X39] :
( a_member_of(X39,X37)
<=> a_member_of(X39,X38) ) )
=> ! [X40,X41] :
( eq(X40,X41)
=> eq(X41,X40) ) )
& ? [X42] :
! [X43] :
? [X44] :
( ( ( p(X44,X42)
& p(X42,X44) )
=> p(X44,X43) )
& ( p(X44,X43)
=> ? [X45] : p(X45,X44) ) )
& ( ? [X46] : p1(X46)
=> ? [X47] : p1(X47) )
& ( ? [X48] : p1(X48)
<=> ? [X49] : p1(X49) )
& ( ! [X50] : p1(X50)
=> ( ! [X51] : p1(X51)
& ! [X52] : p1(X52) ) )
& ! [X53,X54] :
( ! [X55] : p1(X55)
=> ( p1(X54)
& p1(X53) ) )
& ( ? [X56,X57] : a(X56,X57)
<=> ? [X58,X59] : a(X59,X58) )
& ( ? [X60] : b(X60)
=> ? [X61] :
( b(X61)
| a1(X61) ) )
& ( ( ! [X62] : b(X62)
& ? [X63] : a1(X63) )
=> ? [X64] :
( b(X64)
& a1(X64) ) )
& ~ ? [X65] :
! [X66] :
( a(X66,X65)
<=> ~ a(X66,X66) )
& ( ? [X67] :
( a1(X67)
=> b(X67) )
=> ( ! [X68] : a1(X68)
=> ? [X69] : b(X69) ) )
& ( ! [X70] :
( a1(X70)
=> b(X70) )
=> ( ? [X71] : a1(X71)
=> ? [X72] : b(X72) ) )
& ! [X73,X74] :
( ! [X75] :
( q1(X75)
=> p1(X75) )
=> ? [X76] :
( ( q1(X76)
=> p1(X74) )
& ( p1(X76)
=> p1(X73) ) ) )
& ( ! [X77] :
( p1(X77)
=> q1(X77) )
=> ( ! [X78] : p1(X78)
=> ! [X79] : q1(X79) ) )
& ( ! [X80] : p1(X80)
=> ? [X81] : p1(X81) )
& ( ? [X82] : p1(X82)
=> ( ( a0
=> ( ( q0
=> q0 )
& ( ~ b0
| b0 ) ) )
& ? [X83] : p1(X83) ) )
& ! [X84,X85] :
( ! [X86] :
( q1(X86)
=> p1(X86) )
=> ? [X87] :
( ( q1(X87)
=> p1(X85) )
& ( p1(X87)
=> p1(X84) ) ) )
& ! [X88,X89,X90] :
( ( ! [X91,X92] :
( r(X91,X92)
=> q(X91,X92) )
& ! [X93] :
( s1(X93)
=> p1(X93) )
& r(X89,X90)
& s1(X89)
& s1(X88) )
=> ? [X94,X95] :
( q(X94,X95)
& p1(X94) ) )
& ( ! [X96] :
? [X97] :
( a(X97,X97)
& a(X96,X97) )
=> ? [X98] : a(X98,X98) )
& ( ! [X99] :
? [X100] :
( q1(X100)
& p1(X99) )
=> ? [X101] :
! [X102] :
( r1(X101)
| p1(X102) ) )
& ( ( ? [X103] : q1(X103)
& ! [X104] : p1(X104) )
=> ? [X105] :
! [X106] :
( r1(X105)
| p1(X106) ) )
& ( ! [X107] : p1(X107)
=> ! [X108,X109] :
( p1(X109)
& p1(X108) ) )
& ! [X110,X111,X112] :
( ( ! [X113,X114] :
( r(X113,X114)
=> q(X113,X114) )
& ! [X115] :
( s1(X115)
=> p1(X115) )
& r(X111,X112)
& s1(X111)
& s1(X110) )
=> ? [X116,X117] :
( q(X116,X117)
& p1(X116) ) )
& ! [X118] :
? [X119,X120,X121,X122,X123] :
( ( ( s(X118,X123)
=> p1(X123) )
& ( e(X120)
=> ( c(f(X120))
| g(X120) ) )
& ( e(X119)
=> ( s(X119,f(X119))
| g(X119) ) )
& e(X118)
& p1(X118) )
=> ( ( c(X122)
& p1(X122) )
| ( g(X121)
& p1(X121) ) ) )
& ( ( ~ ! [X124] :
( a1(X124)
=> b(X124) )
& ! [X125] :
( a1(X125)
=> ( c(X125)
| b(X125) ) ) )
=> ? [X126] :
( c(X126)
& a1(X126) ) )
& ! [X127,X128] :
( q1(f(X127))
=> ? [X129,X130] :
( q1(X129)
& ( p1(f(X130))
=> ( ( r1(X130)
=> ( r1(X128)
& r1(X127) ) )
& p1(X129) ) ) ) )
& ! [X131,X132] :
( ! [X133] : q1(f(X133))
=> ? [X134,X135] :
( q1(X134)
& ( p1(f(X135))
=> ( ( r1(X135)
=> ( r1(X132)
& r1(X131) ) )
& p1(X134) ) ) ) )
& ! [X136,X137] :
( ! [X138] : q1(f(X138))
=> ? [X139,X140] :
( q1(X139)
& ( r1(X140)
=> ( r1(X136)
& r1(X137) ) )
& ( p1(f(X140))
=> p1(X139) ) ) ) ),
inference(pure_predicate_removal,[],[f3]) ).
fof(f3,plain,
~ ( ( ( ? [X0] :
( q1(X0)
=> r1(X0) )
& ! [X1] :
( p1(X1)
=> q1(X1) ) )
=> ? [X2] :
( p1(X2)
=> r1(X2) ) )
& ! [X3] :
( ! [X4] :
( ( r1(X3)
=> r1(X4) )
=> p(f(X4),X4) )
=> ? [X5,X6] :
( ( q(f(X3),X3)
=> q(X5,X6) )
& p(X5,X6) ) )
& ! [X7,X8] :
? [X9,X10] :
( ( s1(X7)
& ( s1(X7)
=> p(X9,X10) )
& r1(X8)
& r1(X7)
& ( r1(X10)
=> p(X8,X10) )
& q1(X8)
& q1(X7)
& ( q1(X9)
=> p(X9,X7) ) )
=> p(X7,X8) )
& ( ( b0
& a0 )
=> ( a0
<=> b0 ) )
& ( b0
| a0
| ( a0
<=> b0 ) )
& ! [X11] :
( ( ! [X12] :
( q1(X12)
& p1(X12) )
& ( g0
| f0 ) )
=> q1(X11) )
& ( ! [X13,X14] : p(X13,X14)
=> ! [X15] : p(X15,X15) )
& ( ? [X16] : p1(X16)
=> ? [X17] : p1(X17) )
& ( p1(z)
=> p1(z) )
& ( ? [X18] :
! [X19] : p(X18,X19)
=> ! [X20] :
? [X21] : p(X21,X20) )
& ? [X22] :
( ? [X23] : p1(X23)
=> p1(X22) )
& ! [X24,X25] :
? [X26,X27] :
( ( p1(X26)
=> r1(X27) )
=> ( p1(X24)
=> r1(X25) ) )
& ! [X28] :
( ( r1(X28)
& ! [X29] :
( p1(X29)
=> q1(X29) ) )
=> ( ! [X30] :
( r1(X30)
=> p1(X30) )
=> q1(X28) ) )
& ? [X31] :
! [X32] :
( p1(X31)
=> p1(X32) )
& ! [X33,X34] :
( ! [X35] :
( q1(X35)
=> p1(X35) )
=> ? [X36] :
( ( q1(X36)
=> p1(X34) )
& ( p1(X36)
=> p1(X33) ) ) )
& ( ! [X37,X38] :
( eq(X37,X38)
<=> ! [X39] :
( a_member_of(X39,X37)
<=> a_member_of(X39,X38) ) )
=> ! [X40,X41] :
( eq(X40,X41)
=> eq(X41,X40) ) )
& ? [X42] :
! [X43] :
? [X44] :
( ( ( p(X44,X42)
& p(X42,X44) )
=> p(X44,X43) )
& ( p(X44,X43)
=> ? [X45] : p(X45,X44) ) )
& ( ? [X46] : p1(X46)
=> ? [X47] : p1(X47) )
& ( ? [X48] : p1(X48)
<=> ? [X49] : p1(X49) )
& ( ! [X50] : p1(X50)
=> ( ! [X51] : p1(X51)
& ! [X52] : p1(X52) ) )
& ! [X53,X54] :
( ! [X55] : p1(X55)
=> ( p1(X54)
& p1(X53) ) )
& ( ? [X56,X57] : a(X56,X57)
<=> ? [X58,X59] : a(X59,X58) )
& ( ? [X60] : b(X60)
=> ? [X61] :
( b(X61)
| a1(X61) ) )
& ( ( ! [X62] : b(X62)
& ? [X63] : a1(X63) )
=> ? [X64] :
( b(X64)
& a1(X64) ) )
& ~ ? [X65] :
! [X66] :
( a(X66,X65)
<=> ~ a(X66,X66) )
& ( ? [X67] :
( a1(X67)
=> b(X67) )
=> ( ! [X68] : a1(X68)
=> ? [X69] : b(X69) ) )
& ( ! [X70] :
( a1(X70)
=> b(X70) )
=> ( ? [X71] : a1(X71)
=> ? [X72] : b(X72) ) )
& ! [X73,X74] :
( ! [X75] :
( q1(X75)
=> p1(X75) )
=> ? [X76] :
( ( q1(X76)
=> p1(X74) )
& ( p1(X76)
=> p1(X73) ) ) )
& ( ! [X77] :
( p1(X77)
=> q1(X77) )
=> ( ! [X78] : p1(X78)
=> ! [X79] : q1(X79) ) )
& ( ! [X80] : p1(X80)
=> ? [X81] : p1(X81) )
& ( ? [X82] : p1(X82)
=> ( ( a0
=> ( ( q0
=> q0 )
& ( ~ b0
| b0 ) ) )
& ? [X83] : p1(X83) ) )
& ! [X84,X85] :
( ! [X86] :
( q1(X86)
=> p1(X86) )
=> ? [X87] :
( ( q1(X87)
=> p1(X85) )
& ( p1(X87)
=> p1(X84) ) ) )
& ! [X88,X89,X90] :
( ( ! [X91,X92] :
( r(X91,X92)
=> q(X91,X92) )
& ! [X93] :
( s1(X93)
=> p1(X93) )
& r(X89,X90)
& s1(X89)
& s1(X88) )
=> ? [X94,X95] :
( q(X94,X95)
& p1(X94) ) )
& ( ! [X96] :
? [X97] :
( a(X97,X97)
& a(X96,X97) )
=> ? [X98] : a(X98,X98) )
& ( ! [X99] :
? [X100] :
( q1(X100)
& p1(X99) )
=> ? [X101] :
! [X102] :
( r1(X101)
| p1(X102) ) )
& ( ( ? [X103] : q1(X103)
& ! [X104] : p1(X104) )
=> ? [X105] :
! [X106] :
( r1(X105)
| p1(X106) ) )
& ( ! [X107] : p1(X107)
=> ! [X108,X109] :
( p1(X109)
& p1(X108) ) )
& ! [X110,X111,X112] :
( ( ! [X113,X114] :
( r(X113,X114)
=> q(X113,X114) )
& ! [X115] :
( s1(X115)
=> p1(X115) )
& r(X111,X112)
& s1(X111)
& s1(X110) )
=> ? [X116,X117] :
( q(X116,X117)
& p1(X116) ) )
& ! [X118] :
? [X119,X120,X121,X122,X123] :
( ( ( s(X118,X123)
=> p1(X123) )
& ( e(X120)
=> ( c(f(X120))
| g(X120) ) )
& ( e(X119)
=> ( s(X119,f(X119))
| g(X119) ) )
& e(X118)
& p1(X118) )
=> ( ( c(X122)
& p1(X122) )
| ( g(X121)
& p1(X121) ) ) )
& ( ( ~ ! [X124] :
( a1(X124)
=> b(X124) )
& ! [X125] :
( a1(X125)
=> ( c(X125)
| b(X125) ) ) )
=> ? [X126] :
( c(X126)
& a1(X126) ) )
& ! [X127,X128] :
( q1(f(X127))
=> ? [X129,X130] :
( q1(X129)
& ( p1(f(X130))
=> ( ( r1(X130)
=> ( r1(X128)
& r1(X127) ) )
& p1(X129) ) ) ) )
& ! [X131,X132] :
( ! [X133] : q1(f(X133))
=> ? [X134,X135] :
( q1(X134)
& ( p1(f(X135))
=> ( ( r1(X135)
=> ( r1(X132)
& r1(X131) ) )
& p1(X134) ) ) ) )
& ! [X136,X137] :
( ! [X138] : q1(f(X138))
=> ? [X139,X140] :
( q1(X139)
& ( r1(X140)
=> ( r1(X136)
& r1(X137) ) )
& ( p1(f(X140))
=> p1(X139) ) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ( ( ? [X4] :
( q1(X4)
=> r1(X4) )
& ! [X3] :
( p1(X3)
=> q1(X3) ) )
=> ? [X2] :
( p1(X2)
=> r1(X2) ) )
& ! [X1] :
( ! [X4] :
( ( r1(X1)
=> r1(X4) )
=> p(f(X4),X4) )
=> ? [X3,X4] :
( ( q(f(X1),X1)
=> q(X3,X4) )
& p(X3,X4) ) )
& ! [X5,X1] :
? [X3,X4] :
( ( s1(X5)
& ( s1(X5)
=> p(X3,X4) )
& r1(X1)
& r1(X5)
& ( r1(X4)
=> p(X1,X4) )
& q1(X1)
& q1(X5)
& ( q1(X3)
=> p(X3,X5) ) )
=> p(X5,X1) )
& ( ( b0
& a0 )
=> ( a0
<=> b0 ) )
& ( b0
| a0
| ( a0
<=> b0 ) )
& ! [X5] :
( ( ! [X3] :
( q1(X3)
& p1(X3) )
& ( g0
| f0 ) )
=> q1(X5) )
& ( ! [X3,X4] : p(X3,X4)
=> ! [X3] : p(X3,X3) )
& ( ? [X3] : p1(X3)
=> ? [X4] : p1(X4) )
& ( p1(z)
=> p1(z) )
& ( ? [X3] :
! [X4] : p(X3,X4)
=> ! [X4] :
? [X3] : p(X3,X4) )
& ? [X4] :
( ? [X3] : p1(X3)
=> p1(X4) )
& ! [X5,X1] :
? [X3,X4] :
( ( p1(X3)
=> r1(X4) )
=> ( p1(X5)
=> r1(X1) ) )
& ! [X1] :
( ( r1(X1)
& ! [X3] :
( p1(X3)
=> q1(X3) ) )
=> ( ! [X4] :
( r1(X4)
=> p1(X4) )
=> q1(X1) ) )
& ? [X3] :
! [X4] :
( p1(X3)
=> p1(X4) )
& ! [X5,X1] :
( ! [X4] :
( q1(X4)
=> p1(X4) )
=> ? [X3] :
( ( q1(X3)
=> p1(X1) )
& ( p1(X3)
=> p1(X5) ) ) )
& ( ! [X3,X4] :
( eq(X3,X4)
<=> ! [X2] :
( a_member_of(X2,X3)
<=> a_member_of(X2,X4) ) )
=> ! [X5,X1] :
( eq(X5,X1)
=> eq(X1,X5) ) )
& ? [X2] :
! [X3] :
? [X4] :
( ( ( p(X4,X2)
& p(X2,X4) )
=> p(X4,X3) )
& ( p(X4,X3)
=> ? [X9] : p(X9,X4) ) )
& ( ? [X3] : p1(X3)
=> ? [X2] : p1(X2) )
& ( ? [X3] : p1(X3)
<=> ? [X4] : p1(X4) )
& ( ! [X3] : p1(X3)
=> ( ! [X4] : p1(X4)
& ! [X3] : p1(X3) ) )
& ! [X5,X1] :
( ! [X3] : p1(X3)
=> ( p1(X1)
& p1(X5) ) )
& ( ? [X3,X4] : a(X3,X4)
<=> ? [X4,X3] : a(X3,X4) )
& ( ? [X3] : b(X3)
=> ? [X3] :
( b(X3)
| a1(X3) ) )
& ( ( ! [X3] : b(X3)
& ? [X3] : a1(X3) )
=> ? [X3] :
( b(X3)
& a1(X3) ) )
& ~ ? [X4] :
! [X3] :
( a(X3,X4)
<=> ~ a(X3,X3) )
& ( ? [X3] :
( a1(X3)
=> b(X3) )
=> ( ! [X3] : a1(X3)
=> ? [X3] : b(X3) ) )
& ( ! [X3] :
( a1(X3)
=> b(X3) )
=> ( ? [X3] : a1(X3)
=> ? [X3] : b(X3) ) )
& ! [X5,X1] :
( ! [X2] :
( q1(X2)
=> p1(X2) )
=> ? [X3] :
( ( q1(X3)
=> p1(X1) )
& ( p1(X3)
=> p1(X5) ) ) )
& ( ! [X3] :
( p1(X3)
=> q1(X3) )
=> ( ! [X3] : p1(X3)
=> ! [X3] : q1(X3) ) )
& ( ! [X3] : p1(X3)
=> ? [X4] : p1(X4) )
& ( ? [X3] : p1(X3)
=> ( ( a0
=> ( ( q0
=> q0 )
& ( ~ b0
| b0 ) ) )
& ? [X3] : p1(X3) ) )
& ! [X5,X1] :
( ! [X4] :
( q1(X4)
=> p1(X4) )
=> ? [X3] :
( ( q1(X3)
=> p1(X1) )
& ( p1(X3)
=> p1(X5) ) ) )
& ! [X5,X1,X0] :
( ( ! [X3,X4] :
( r(X3,X4)
=> q(X3,X4) )
& ! [X3] :
( s1(X3)
=> p1(X3) )
& r(X1,X0)
& s1(X1)
& s1(X5) )
=> ? [X3,X4] :
( q(X3,X4)
& p1(X3) ) )
& ( ! [X3] :
? [X4] :
( a(X4,X4)
& a(X3,X4) )
=> ? [X2] : a(X2,X2) )
& ( ! [X3] :
? [X4] :
( q1(X4)
& p1(X3) )
=> ? [X2] :
! [X4] :
( r1(X2)
| p1(X4) ) )
& ( ( ? [X4] : q1(X4)
& ! [X3] : p1(X3) )
=> ? [X2] :
! [X4] :
( r1(X2)
| p1(X4) ) )
& ( ! [X3] : p1(X3)
=> ! [X5,X1] :
( p1(X1)
& p1(X5) ) )
& ! [X5,X1,X0] :
( ( ! [X3,X4] :
( r(X3,X4)
=> q(X3,X4) )
& ! [X3] :
( s1(X3)
=> p1(X3) )
& r(X1,X0)
& s1(X1)
& s1(X5) )
=> ? [X3,X4] :
( q(X3,X4)
& p1(X3) ) )
& ! [X5] :
? [X3,X6,X7,X8,X4] :
( ( ( s(X5,X4)
=> p1(X4) )
& ( e(X6)
=> ( c(f(X6))
| g(X6) ) )
& ( e(X3)
=> ( s(X3,f(X3))
| g(X3) ) )
& e(X5)
& p1(X5) )
=> ( ( c(X8)
& p1(X8) )
| ( g(X7)
& p1(X7) ) ) )
& ( ( ~ ! [X3] :
( a1(X3)
=> b(X3) )
& ! [X3] :
( a1(X3)
=> ( c(X3)
| b(X3) ) ) )
=> ? [X3] :
( c(X3)
& a1(X3) ) )
& ! [X1,X0] :
( q1(f(X1))
=> ? [X3,X4] :
( q1(X3)
& ( p1(f(X4))
=> ( ( r1(X4)
=> ( r1(X0)
& r1(X1) ) )
& p1(X3) ) ) ) )
& ! [X1,X0] :
( ! [X2] : q1(f(X2))
=> ? [X3,X4] :
( q1(X3)
& ( p1(f(X4))
=> ( ( r1(X4)
=> ( r1(X0)
& r1(X1) ) )
& p1(X3) ) ) ) )
& ! [X0,X1] :
( ! [X2] : q1(f(X2))
=> ? [X3,X4] :
( q1(X3)
& ( r1(X4)
=> ( r1(X0)
& r1(X1) ) )
& ( p1(f(X4))
=> p1(X3) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ( ( ? [X4] :
( q1(X4)
=> r1(X4) )
& ! [X3] :
( p1(X3)
=> q1(X3) ) )
=> ? [X2] :
( p1(X2)
=> r1(X2) ) )
& ! [X1] :
( ! [X4] :
( ( r1(X1)
=> r1(X4) )
=> p(f(X4),X4) )
=> ? [X3,X4] :
( ( q(f(X1),X1)
=> q(X3,X4) )
& p(X3,X4) ) )
& ! [X5,X1] :
? [X3,X4] :
( ( s1(X5)
& ( s1(X5)
=> p(X3,X4) )
& r1(X1)
& r1(X5)
& ( r1(X4)
=> p(X1,X4) )
& q1(X1)
& q1(X5)
& ( q1(X3)
=> p(X3,X5) ) )
=> p(X5,X1) )
& ( ( b0
& a0 )
=> ( a0
<=> b0 ) )
& ( b0
| a0
| ( a0
<=> b0 ) )
& ! [X5] :
( ( ! [X3] :
( q1(X3)
& p1(X3) )
& ( g0
| f0 ) )
=> q1(X5) )
& ( ! [X3,X4] : p(X3,X4)
=> ! [X3] : p(X3,X3) )
& ( ? [X3] : p1(X3)
=> ? [X4] : p1(X4) )
& ( p1(z)
=> p1(z) )
& ( ? [X3] :
! [X4] : p(X3,X4)
=> ! [X4] :
? [X3] : p(X3,X4) )
& ? [X4] :
( ? [X3] : p1(X3)
=> p1(X4) )
& ! [X5,X1] :
? [X3,X4] :
( ( p1(X3)
=> r1(X4) )
=> ( p1(X5)
=> r1(X1) ) )
& ! [X1] :
( ( r1(X1)
& ! [X3] :
( p1(X3)
=> q1(X3) ) )
=> ( ! [X4] :
( r1(X4)
=> p1(X4) )
=> q1(X1) ) )
& ? [X3] :
! [X4] :
( p1(X3)
=> p1(X4) )
& ! [X5,X1] :
( ! [X4] :
( q1(X4)
=> p1(X4) )
=> ? [X3] :
( ( q1(X3)
=> p1(X1) )
& ( p1(X3)
=> p1(X5) ) ) )
& ( ! [X3,X4] :
( eq(X3,X4)
<=> ! [X2] :
( a_member_of(X2,X3)
<=> a_member_of(X2,X4) ) )
=> ! [X5,X1] :
( eq(X5,X1)
=> eq(X1,X5) ) )
& ? [X2] :
! [X3] :
? [X4] :
( ( ( p(X4,X2)
& p(X2,X4) )
=> p(X4,X3) )
& ( p(X4,X3)
=> ? [X9] : p(X9,X4) ) )
& ( ? [X3] : p1(X3)
=> ? [X2] : p1(X2) )
& ( ? [X3] : p1(X3)
<=> ? [X4] : p1(X4) )
& ( ! [X3] : p1(X3)
=> ( ! [X4] : p1(X4)
& ! [X3] : p1(X3) ) )
& ! [X5,X1] :
( ! [X3] : p1(X3)
=> ( p1(X1)
& p1(X5) ) )
& ( ? [X3,X4] : a(X3,X4)
<=> ? [X4,X3] : a(X3,X4) )
& ( ? [X3] : b(X3)
=> ? [X3] :
( b(X3)
| a1(X3) ) )
& ( ( ! [X3] : b(X3)
& ? [X3] : a1(X3) )
=> ? [X3] :
( b(X3)
& a1(X3) ) )
& ~ ? [X4] :
! [X3] :
( a(X3,X4)
<=> ~ a(X3,X3) )
& ( ? [X3] :
( a1(X3)
=> b(X3) )
=> ( ! [X3] : a1(X3)
=> ? [X3] : b(X3) ) )
& ( ! [X3] :
( a1(X3)
=> b(X3) )
=> ( ? [X3] : a1(X3)
=> ? [X3] : b(X3) ) )
& ! [X5,X1] :
( ! [X2] :
( q1(X2)
=> p1(X2) )
=> ? [X3] :
( ( q1(X3)
=> p1(X1) )
& ( p1(X3)
=> p1(X5) ) ) )
& ( ! [X3] :
( p1(X3)
=> q1(X3) )
=> ( ! [X3] : p1(X3)
=> ! [X3] : q1(X3) ) )
& ( ! [X3] : p1(X3)
=> ? [X4] : p1(X4) )
& ( ? [X3] : p1(X3)
=> ( ( a0
=> ( ( q0
=> q0 )
& ( ~ b0
| b0 ) ) )
& ? [X3] : p1(X3) ) )
& ! [X5,X1] :
( ! [X4] :
( q1(X4)
=> p1(X4) )
=> ? [X3] :
( ( q1(X3)
=> p1(X1) )
& ( p1(X3)
=> p1(X5) ) ) )
& ! [X5,X1,X0] :
( ( ! [X3,X4] :
( r(X3,X4)
=> q(X3,X4) )
& ! [X3] :
( s1(X3)
=> p1(X3) )
& r(X1,X0)
& s1(X1)
& s1(X5) )
=> ? [X3,X4] :
( q(X3,X4)
& p1(X3) ) )
& ( ! [X3] :
? [X4] :
( a(X4,X4)
& a(X3,X4) )
=> ? [X2] : a(X2,X2) )
& ( ! [X3] :
? [X4] :
( q1(X4)
& p1(X3) )
=> ? [X2] :
! [X4] :
( r1(X2)
| p1(X4) ) )
& ( ( ? [X4] : q1(X4)
& ! [X3] : p1(X3) )
=> ? [X2] :
! [X4] :
( r1(X2)
| p1(X4) ) )
& ( ! [X3] : p1(X3)
=> ! [X5,X1] :
( p1(X1)
& p1(X5) ) )
& ! [X5,X1,X0] :
( ( ! [X3,X4] :
( r(X3,X4)
=> q(X3,X4) )
& ! [X3] :
( s1(X3)
=> p1(X3) )
& r(X1,X0)
& s1(X1)
& s1(X5) )
=> ? [X3,X4] :
( q(X3,X4)
& p1(X3) ) )
& ! [X5] :
? [X3,X6,X7,X8,X4] :
( ( ( s(X5,X4)
=> p1(X4) )
& ( e(X6)
=> ( c(f(X6))
| g(X6) ) )
& ( e(X3)
=> ( s(X3,f(X3))
| g(X3) ) )
& e(X5)
& p1(X5) )
=> ( ( c(X8)
& p1(X8) )
| ( g(X7)
& p1(X7) ) ) )
& ( ( ~ ! [X3] :
( a1(X3)
=> b(X3) )
& ! [X3] :
( a1(X3)
=> ( c(X3)
| b(X3) ) ) )
=> ? [X3] :
( c(X3)
& a1(X3) ) )
& ! [X1,X0] :
( q1(f(X1))
=> ? [X3,X4] :
( q1(X3)
& ( p1(f(X4))
=> ( ( r1(X4)
=> ( r1(X0)
& r1(X1) ) )
& p1(X3) ) ) ) )
& ! [X1,X0] :
( ! [X2] : q1(f(X2))
=> ? [X3,X4] :
( q1(X3)
& ( p1(f(X4))
=> ( ( r1(X4)
=> ( r1(X0)
& r1(X1) ) )
& p1(X3) ) ) ) )
& ! [X0,X1] :
( ! [X2] : q1(f(X2))
=> ? [X3,X4] :
( q1(X3)
& ( r1(X4)
=> ( r1(X0)
& r1(X1) ) )
& ( p1(f(X4))
=> p1(X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f1172,plain,
( spl111_44
| spl111_120
| spl111_113
| spl111_108
| spl111_144
| spl111_140
| spl111_41
| spl111_105
| spl111_102
| spl111_80
| spl111_133
| spl111_39
| spl111_76
| spl111_38
| spl111_73
| spl111_36
| spl111_70
| spl111_66
| spl111_33
| spl111_62
| spl111_58
| spl111_29
| spl111_26
| spl111_23
| spl111_20
| spl111_18
| spl111_15
| spl111_54
| spl111_12
| spl111_9
| spl111_98
| spl111_50
| spl111_6
| spl111_3
| spl111_1
| spl111_7
| spl111_126
| spl111_47
| spl111_97
| spl111_95
| spl111_123
| spl111_88
| spl111_84 ),
inference(avatar_split_clause,[],[f396,f772,f791,f954,f819,f831,f606,f968,f426,f400,f410,f422,f620,f839,f435,f447,f638,f460,f472,f482,f496,f510,f524,f657,f674,f541,f691,f709,f553,f723,f563,f737,f569,f1000,f756,f858,f872,f579,f1031,f1053,f887,f909,f938,f593]) ).
fof(f396,plain,
! [X2,X3,X1] :
( sP20
| sP19
| sP10
| sP18
| sP17
| sP30
| p(X1,X2)
| ~ p1(X3)
| sP47
| sP46
| sP45
| sP29
| sP16
| sP44
| sP43
| sP28
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP27
| sP26
| sP36
| sP25
| sP24
| sP35
| sP23
| sP34
| sP22
| sP33
| sP9
| sP21
| sP15
| sP14
| sP32
| sP8
| sP7
| sP13
| sP12
| sP11
| sP31 ),
inference(cnf_transformation,[],[f235]) ).
fof(f1171,plain,
( spl111_44
| spl111_120
| spl111_113
| spl111_108
| spl111_144
| spl111_140
| spl111_41
| spl111_105
| spl111_102
| spl111_80
| spl111_133
| spl111_39
| spl111_76
| spl111_38
| spl111_73
| spl111_36
| spl111_70
| spl111_66
| spl111_33
| spl111_62
| spl111_58
| spl111_29
| spl111_26
| spl111_23
| spl111_20
| spl111_18
| spl111_15
| spl111_54
| spl111_12
| spl111_9
| spl111_98
| spl111_50
| spl111_6
| spl111_3
| spl111_1
| spl111_171
| ~ spl111_170
| spl111_47
| spl111_97
| spl111_95
| spl111_123
| spl111_88
| spl111_84 ),
inference(avatar_split_clause,[],[f397,f772,f791,f954,f819,f831,f606,f1163,f1168,f400,f410,f422,f620,f839,f435,f447,f638,f460,f472,f482,f496,f510,f524,f657,f674,f541,f691,f709,f553,f723,f563,f737,f569,f1000,f756,f858,f872,f579,f1031,f1053,f887,f909,f938,f593]) ).
fof(f397,plain,
( sP20
| sP19
| sP10
| sP18
| sP17
| sP30
| ~ p(sK109,sK109)
| p1(sK110)
| sP47
| sP46
| sP45
| sP29
| sP16
| sP44
| sP43
| sP28
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP27
| sP26
| sP36
| sP25
| sP24
| sP35
| sP23
| sP34
| sP22
| sP33
| sP9
| sP21
| sP15
| sP14
| sP32
| sP8
| sP7
| sP13
| sP12
| sP11
| sP31 ),
inference(cnf_transformation,[],[f235]) ).
fof(f1166,plain,
( spl111_44
| spl111_120
| spl111_113
| spl111_108
| spl111_144
| spl111_140
| spl111_41
| spl111_105
| spl111_102
| spl111_80
| spl111_133
| spl111_39
| spl111_76
| spl111_38
| spl111_73
| spl111_36
| spl111_70
| spl111_66
| spl111_33
| spl111_62
| spl111_58
| spl111_29
| spl111_26
| spl111_23
| spl111_20
| spl111_18
| spl111_15
| spl111_54
| spl111_12
| spl111_9
| spl111_98
| spl111_50
| spl111_6
| spl111_3
| spl111_1
| spl111_7
| ~ spl111_170
| spl111_47
| spl111_97
| spl111_95
| spl111_123
| spl111_88
| spl111_84 ),
inference(avatar_split_clause,[],[f398,f772,f791,f954,f819,f831,f606,f1163,f426,f400,f410,f422,f620,f839,f435,f447,f638,f460,f472,f482,f496,f510,f524,f657,f674,f541,f691,f709,f553,f723,f563,f737,f569,f1000,f756,f858,f872,f579,f1031,f1053,f887,f909,f938,f593]) ).
fof(f398,plain,
! [X3] :
( sP20
| sP19
| sP10
| sP18
| sP17
| sP30
| ~ p(sK109,sK109)
| ~ p1(X3)
| sP47
| sP46
| sP45
| sP29
| sP16
| sP44
| sP43
| sP28
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP27
| sP26
| sP36
| sP25
| sP24
| sP35
| sP23
| sP34
| sP22
| sP33
| sP9
| sP21
| sP15
| sP14
| sP32
| sP8
| sP7
| sP13
| sP12
| sP11
| sP31 ),
inference(cnf_transformation,[],[f235]) ).
fof(f1161,plain,
( spl111_168
| spl111_169
| spl111_118 ),
inference(avatar_split_clause,[],[f391,f929,f1159,f1155]) ).
fof(f391,plain,
! [X2,X3,X0,X1] :
( ~ q1(X2)
| r1(X3)
| p1(f(X3))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f231]) ).
fof(f231,plain,
! [X0,X1] :
( ! [X2,X3] :
( ~ q1(X2)
| ( ( ~ r1(X0)
| ~ r1(X1) )
& r1(X3) )
| ( ~ p1(X2)
& p1(f(X3)) ) )
| ~ sP0(X0,X1) ),
inference(rectify,[],[f230]) ).
fof(f230,plain,
! [X136,X137] :
( ! [X139,X140] :
( ~ q1(X139)
| ( ( ~ r1(X136)
| ~ r1(X137) )
& r1(X140) )
| ( ~ p1(X139)
& p1(f(X140)) ) )
| ~ sP0(X136,X137) ),
inference(nnf_transformation,[],[f7]) ).
fof(f1157,plain,
( spl111_168
| spl111_53
| spl111_116 ),
inference(avatar_split_clause,[],[f392,f921,f634,f1155]) ).
fof(f392,plain,
! [X2,X3,X0,X1] :
( ~ q1(X2)
| r1(X3)
| ~ p1(X2)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f231]) ).
fof(f1153,plain,
( spl111_117
| spl111_167
| spl111_118 ),
inference(avatar_split_clause,[],[f393,f929,f1150,f926]) ).
fof(f393,plain,
! [X2,X3,X0,X1] :
( ~ q1(X2)
| ~ r1(X0)
| ~ r1(X1)
| p1(f(X3))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f231]) ).
fof(f1152,plain,
( spl111_167
| spl111_116 ),
inference(avatar_split_clause,[],[f394,f921,f1150]) ).
fof(f394,plain,
! [X2,X0,X1] :
( ~ q1(X2)
| ~ r1(X0)
| ~ r1(X1)
| ~ p1(X2)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f231]) ).
fof(f1148,plain,
( spl111_166
| spl111_155 ),
inference(avatar_split_clause,[],[f387,f1098,f1146]) ).
fof(f387,plain,
! [X2,X0,X1] :
( q1(X2)
| p1(X2)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f229]) ).
fof(f1136,plain,
( ~ spl111_77
| ~ spl111_96
| spl111_163 ),
inference(avatar_split_clause,[],[f383,f1130,f823,f741]) ).
fof(f741,plain,
( spl111_77
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl111_77])]) ).
fof(f823,plain,
( spl111_96
<=> b0 ),
introduced(avatar_definition,[new_symbols(naming,[spl111_96])]) ).
fof(f1130,plain,
( spl111_163
<=> q0 ),
introduced(avatar_definition,[new_symbols(naming,[spl111_163])]) ).
fof(f383,plain,
( q0
| ~ b0
| ~ sP2 ),
inference(cnf_transformation,[],[f227]) ).
fof(f227,plain,
( ( ~ q0
& q0 )
| ( b0
& ~ b0 )
| ~ sP2 ),
inference(nnf_transformation,[],[f9]) ).
fof(f1135,plain,
( ~ spl111_77
| spl111_96
| spl111_163 ),
inference(avatar_split_clause,[],[f384,f1130,f823,f741]) ).
fof(f384,plain,
( q0
| b0
| ~ sP2 ),
inference(cnf_transformation,[],[f227]) ).
fof(f1134,plain,
( ~ spl111_77
| ~ spl111_96
| ~ spl111_163 ),
inference(avatar_split_clause,[],[f385,f1130,f823,f741]) ).
fof(f385,plain,
( ~ q0
| ~ b0
| ~ sP2 ),
inference(cnf_transformation,[],[f227]) ).
fof(f1133,plain,
( ~ spl111_77
| spl111_96
| ~ spl111_163 ),
inference(avatar_split_clause,[],[f386,f1130,f823,f741]) ).
fof(f386,plain,
( ~ q0
| b0
| ~ sP2 ),
inference(cnf_transformation,[],[f227]) ).
fof(f1128,plain,
( spl111_162
| spl111_155 ),
inference(avatar_split_clause,[],[f379,f1098,f1126]) ).
fof(f379,plain,
! [X2,X0,X1] :
( q1(X2)
| p1(X2)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f226]) ).
fof(f1116,plain,
( ~ spl111_57
| spl111_159 ),
inference(avatar_split_clause,[],[f372,f1114,f652]) ).
fof(f652,plain,
( spl111_57
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl111_57])]) ).
fof(f372,plain,
! [X3,X0,X1] :
( a_member_of(X3,X1)
| ~ a_member_of(X3,X0)
| ~ eq(X0,X1)
| ~ sP5 ),
inference(cnf_transformation,[],[f222]) ).
fof(f222,plain,
( ! [X0,X1] :
( ( eq(X0,X1)
| ( ( ~ a_member_of(sK108(X0,X1),X1)
| ~ a_member_of(sK108(X0,X1),X0) )
& ( a_member_of(sK108(X0,X1),X1)
| a_member_of(sK108(X0,X1),X0) ) ) )
& ( ! [X3] :
( ( a_member_of(X3,X0)
| ~ a_member_of(X3,X1) )
& ( a_member_of(X3,X1)
| ~ a_member_of(X3,X0) ) )
| ~ eq(X0,X1) ) )
| ~ sP5 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK108])],[f220,f221]) ).
fof(f221,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ a_member_of(X2,X1)
| ~ a_member_of(X2,X0) )
& ( a_member_of(X2,X1)
| a_member_of(X2,X0) ) )
=> ( ( ~ a_member_of(sK108(X0,X1),X1)
| ~ a_member_of(sK108(X0,X1),X0) )
& ( a_member_of(sK108(X0,X1),X1)
| a_member_of(sK108(X0,X1),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f220,plain,
( ! [X0,X1] :
( ( eq(X0,X1)
| ? [X2] :
( ( ~ a_member_of(X2,X1)
| ~ a_member_of(X2,X0) )
& ( a_member_of(X2,X1)
| a_member_of(X2,X0) ) ) )
& ( ! [X3] :
( ( a_member_of(X3,X0)
| ~ a_member_of(X3,X1) )
& ( a_member_of(X3,X1)
| ~ a_member_of(X3,X0) ) )
| ~ eq(X0,X1) ) )
| ~ sP5 ),
inference(rectify,[],[f219]) ).
fof(f219,plain,
( ! [X37,X38] :
( ( eq(X37,X38)
| ? [X39] :
( ( ~ a_member_of(X39,X38)
| ~ a_member_of(X39,X37) )
& ( a_member_of(X39,X38)
| a_member_of(X39,X37) ) ) )
& ( ! [X39] :
( ( a_member_of(X39,X37)
| ~ a_member_of(X39,X38) )
& ( a_member_of(X39,X38)
| ~ a_member_of(X39,X37) ) )
| ~ eq(X37,X38) ) )
| ~ sP5 ),
inference(nnf_transformation,[],[f12]) ).
fof(f1112,plain,
( ~ spl111_57
| spl111_158 ),
inference(avatar_split_clause,[],[f373,f1110,f652]) ).
fof(f373,plain,
! [X3,X0,X1] :
( a_member_of(X3,X0)
| ~ a_member_of(X3,X1)
| ~ eq(X0,X1)
| ~ sP5 ),
inference(cnf_transformation,[],[f222]) ).
fof(f1108,plain,
( ~ spl111_57
| spl111_157 ),
inference(avatar_split_clause,[],[f374,f1106,f652]) ).
fof(f374,plain,
! [X0,X1] :
( eq(X0,X1)
| a_member_of(sK108(X0,X1),X1)
| a_member_of(sK108(X0,X1),X0)
| ~ sP5 ),
inference(cnf_transformation,[],[f222]) ).
fof(f1104,plain,
( ~ spl111_57
| spl111_156 ),
inference(avatar_split_clause,[],[f375,f1102,f652]) ).
fof(f375,plain,
! [X0,X1] :
( eq(X0,X1)
| ~ a_member_of(sK108(X0,X1),X1)
| ~ a_member_of(sK108(X0,X1),X0)
| ~ sP5 ),
inference(cnf_transformation,[],[f222]) ).
fof(f1100,plain,
( spl111_154
| spl111_155 ),
inference(avatar_split_clause,[],[f368,f1098,f1095]) ).
fof(f368,plain,
! [X2,X0,X1] :
( q1(X2)
| p1(X2)
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f218]) ).
fof(f1085,plain,
( ~ spl111_144
| spl111_151 ),
inference(avatar_split_clause,[],[f361,f1082,f1053]) ).
fof(f361,plain,
( p1(sK107)
| ~ sP7 ),
inference(cnf_transformation,[],[f216]) ).
fof(f216,plain,
( ! [X1,X2,X3,X4,X5] :
( ( ~ c(X4)
| ~ p1(X4) )
& ( ~ g(X3)
| ~ p1(X3) )
& ( p1(X5)
| ~ s(sK107,X5) )
& ( c(f(X2))
| g(X2)
| ~ e(X2) )
& ( s(X1,f(X1))
| g(X1)
| ~ e(X1) )
& e(sK107)
& p1(sK107) )
| ~ sP7 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK107])],[f214,f215]) ).
fof(f215,plain,
( ? [X0] :
! [X1,X2,X3,X4,X5] :
( ( ~ c(X4)
| ~ p1(X4) )
& ( ~ g(X3)
| ~ p1(X3) )
& ( p1(X5)
| ~ s(X0,X5) )
& ( c(f(X2))
| g(X2)
| ~ e(X2) )
& ( s(X1,f(X1))
| g(X1)
| ~ e(X1) )
& e(X0)
& p1(X0) )
=> ! [X5,X4,X3,X2,X1] :
( ( ~ c(X4)
| ~ p1(X4) )
& ( ~ g(X3)
| ~ p1(X3) )
& ( p1(X5)
| ~ s(sK107,X5) )
& ( c(f(X2))
| g(X2)
| ~ e(X2) )
& ( s(X1,f(X1))
| g(X1)
| ~ e(X1) )
& e(sK107)
& p1(sK107) ) ),
introduced(choice_axiom,[]) ).
fof(f214,plain,
( ? [X0] :
! [X1,X2,X3,X4,X5] :
( ( ~ c(X4)
| ~ p1(X4) )
& ( ~ g(X3)
| ~ p1(X3) )
& ( p1(X5)
| ~ s(X0,X5) )
& ( c(f(X2))
| g(X2)
| ~ e(X2) )
& ( s(X1,f(X1))
| g(X1)
| ~ e(X1) )
& e(X0)
& p1(X0) )
| ~ sP7 ),
inference(rectify,[],[f213]) ).
fof(f213,plain,
( ? [X118] :
! [X119,X120,X121,X122,X123] :
( ( ~ c(X122)
| ~ p1(X122) )
& ( ~ g(X121)
| ~ p1(X121) )
& ( p1(X123)
| ~ s(X118,X123) )
& ( c(f(X120))
| g(X120)
| ~ e(X120) )
& ( s(X119,f(X119))
| g(X119)
| ~ e(X119) )
& e(X118)
& p1(X118) )
| ~ sP7 ),
inference(nnf_transformation,[],[f14]) ).
fof(f1080,plain,
( ~ spl111_144
| spl111_150 ),
inference(avatar_split_clause,[],[f362,f1077,f1053]) ).
fof(f362,plain,
( e(sK107)
| ~ sP7 ),
inference(cnf_transformation,[],[f216]) ).
fof(f1075,plain,
( ~ spl111_144
| spl111_149 ),
inference(avatar_split_clause,[],[f363,f1073,f1053]) ).
fof(f363,plain,
! [X1] :
( s(X1,f(X1))
| g(X1)
| ~ e(X1)
| ~ sP7 ),
inference(cnf_transformation,[],[f216]) ).
fof(f1071,plain,
( ~ spl111_144
| spl111_148 ),
inference(avatar_split_clause,[],[f364,f1069,f1053]) ).
fof(f364,plain,
! [X2] :
( c(f(X2))
| g(X2)
| ~ e(X2)
| ~ sP7 ),
inference(cnf_transformation,[],[f216]) ).
fof(f1067,plain,
( ~ spl111_144
| spl111_147 ),
inference(avatar_split_clause,[],[f365,f1065,f1053]) ).
fof(f365,plain,
! [X5] :
( p1(X5)
| ~ s(sK107,X5)
| ~ sP7 ),
inference(cnf_transformation,[],[f216]) ).
fof(f1063,plain,
( ~ spl111_144
| spl111_146 ),
inference(avatar_split_clause,[],[f366,f1061,f1053]) ).
fof(f366,plain,
! [X3] :
( ~ g(X3)
| ~ p1(X3)
| ~ sP7 ),
inference(cnf_transformation,[],[f216]) ).
fof(f1059,plain,
( ~ spl111_144
| spl111_145 ),
inference(avatar_split_clause,[],[f367,f1057,f1053]) ).
fof(f367,plain,
! [X4] :
( ~ c(X4)
| ~ p1(X4)
| ~ sP7 ),
inference(cnf_transformation,[],[f216]) ).
fof(f1046,plain,
( ~ spl111_140
| spl111_142 ),
inference(avatar_split_clause,[],[f356,f1043,f1031]) ).
fof(f356,plain,
( s1(sK105)
| ~ sP8 ),
inference(cnf_transformation,[],[f212]) ).
fof(f212,plain,
( ( ! [X3,X4] :
( ~ q(X3,X4)
| ~ p1(X3) )
& ! [X5,X6] :
( q(X5,X6)
| ~ r(X5,X6) )
& ! [X7] :
( p1(X7)
| ~ s1(X7) )
& r(sK105,sK106)
& s1(sK105)
& s1(sK104) )
| ~ sP8 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK104,sK105,sK106])],[f210,f211]) ).
fof(f211,plain,
( ? [X0,X1,X2] :
( ! [X3,X4] :
( ~ q(X3,X4)
| ~ p1(X3) )
& ! [X5,X6] :
( q(X5,X6)
| ~ r(X5,X6) )
& ! [X7] :
( p1(X7)
| ~ s1(X7) )
& r(X1,X2)
& s1(X1)
& s1(X0) )
=> ( ! [X3,X4] :
( ~ q(X3,X4)
| ~ p1(X3) )
& ! [X5,X6] :
( q(X5,X6)
| ~ r(X5,X6) )
& ! [X7] :
( p1(X7)
| ~ s1(X7) )
& r(sK105,sK106)
& s1(sK105)
& s1(sK104) ) ),
introduced(choice_axiom,[]) ).
fof(f210,plain,
( ? [X0,X1,X2] :
( ! [X3,X4] :
( ~ q(X3,X4)
| ~ p1(X3) )
& ! [X5,X6] :
( q(X5,X6)
| ~ r(X5,X6) )
& ! [X7] :
( p1(X7)
| ~ s1(X7) )
& r(X1,X2)
& s1(X1)
& s1(X0) )
| ~ sP8 ),
inference(rectify,[],[f209]) ).
fof(f209,plain,
( ? [X110,X111,X112] :
( ! [X116,X117] :
( ~ q(X116,X117)
| ~ p1(X116) )
& ! [X113,X114] :
( q(X113,X114)
| ~ r(X113,X114) )
& ! [X115] :
( p1(X115)
| ~ s1(X115) )
& r(X111,X112)
& s1(X111)
& s1(X110) )
| ~ sP8 ),
inference(nnf_transformation,[],[f15]) ).
fof(f1041,plain,
( ~ spl111_140
| spl111_141 ),
inference(avatar_split_clause,[],[f357,f1038,f1031]) ).
fof(f357,plain,
( r(sK105,sK106)
| ~ sP8 ),
inference(cnf_transformation,[],[f212]) ).
fof(f1036,plain,
( ~ spl111_140
| spl111_136 ),
inference(avatar_split_clause,[],[f358,f1012,f1031]) ).
fof(f358,plain,
! [X7] :
( p1(X7)
| ~ s1(X7)
| ~ sP8 ),
inference(cnf_transformation,[],[f212]) ).
fof(f1035,plain,
( ~ spl111_140
| spl111_135 ),
inference(avatar_split_clause,[],[f359,f1008,f1031]) ).
fof(f359,plain,
! [X6,X5] :
( q(X5,X6)
| ~ r(X5,X6)
| ~ sP8 ),
inference(cnf_transformation,[],[f212]) ).
fof(f1034,plain,
( ~ spl111_140
| spl111_134 ),
inference(avatar_split_clause,[],[f360,f1004,f1031]) ).
fof(f360,plain,
! [X3,X4] :
( ~ q(X3,X4)
| ~ p1(X3)
| ~ sP8 ),
inference(cnf_transformation,[],[f212]) ).
fof(f1024,plain,
( ~ spl111_133
| spl111_138 ),
inference(avatar_split_clause,[],[f350,f1021,f1000]) ).
fof(f350,plain,
( s1(sK102)
| ~ sP9 ),
inference(cnf_transformation,[],[f208]) ).
fof(f208,plain,
( ( ! [X3,X4] :
( ~ q(X3,X4)
| ~ p1(X3) )
& ! [X5,X6] :
( q(X5,X6)
| ~ r(X5,X6) )
& ! [X7] :
( p1(X7)
| ~ s1(X7) )
& r(sK102,sK103)
& s1(sK102)
& s1(sK101) )
| ~ sP9 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK101,sK102,sK103])],[f206,f207]) ).
fof(f207,plain,
( ? [X0,X1,X2] :
( ! [X3,X4] :
( ~ q(X3,X4)
| ~ p1(X3) )
& ! [X5,X6] :
( q(X5,X6)
| ~ r(X5,X6) )
& ! [X7] :
( p1(X7)
| ~ s1(X7) )
& r(X1,X2)
& s1(X1)
& s1(X0) )
=> ( ! [X3,X4] :
( ~ q(X3,X4)
| ~ p1(X3) )
& ! [X5,X6] :
( q(X5,X6)
| ~ r(X5,X6) )
& ! [X7] :
( p1(X7)
| ~ s1(X7) )
& r(sK102,sK103)
& s1(sK102)
& s1(sK101) ) ),
introduced(choice_axiom,[]) ).
fof(f206,plain,
( ? [X0,X1,X2] :
( ! [X3,X4] :
( ~ q(X3,X4)
| ~ p1(X3) )
& ! [X5,X6] :
( q(X5,X6)
| ~ r(X5,X6) )
& ! [X7] :
( p1(X7)
| ~ s1(X7) )
& r(X1,X2)
& s1(X1)
& s1(X0) )
| ~ sP9 ),
inference(rectify,[],[f205]) ).
fof(f205,plain,
( ? [X88,X89,X90] :
( ! [X94,X95] :
( ~ q(X94,X95)
| ~ p1(X94) )
& ! [X91,X92] :
( q(X91,X92)
| ~ r(X91,X92) )
& ! [X93] :
( p1(X93)
| ~ s1(X93) )
& r(X89,X90)
& s1(X89)
& s1(X88) )
| ~ sP9 ),
inference(nnf_transformation,[],[f16]) ).
fof(f1019,plain,
( ~ spl111_133
| spl111_137 ),
inference(avatar_split_clause,[],[f351,f1016,f1000]) ).
fof(f351,plain,
( r(sK102,sK103)
| ~ sP9 ),
inference(cnf_transformation,[],[f208]) ).
fof(f1014,plain,
( ~ spl111_133
| spl111_136 ),
inference(avatar_split_clause,[],[f352,f1012,f1000]) ).
fof(f352,plain,
! [X7] :
( p1(X7)
| ~ s1(X7)
| ~ sP9 ),
inference(cnf_transformation,[],[f208]) ).
fof(f1010,plain,
( ~ spl111_133
| spl111_135 ),
inference(avatar_split_clause,[],[f353,f1008,f1000]) ).
fof(f353,plain,
! [X6,X5] :
( q(X5,X6)
| ~ r(X5,X6)
| ~ sP9 ),
inference(cnf_transformation,[],[f208]) ).
fof(f1006,plain,
( ~ spl111_133
| spl111_134 ),
inference(avatar_split_clause,[],[f354,f1004,f1000]) ).
fof(f354,plain,
! [X3,X4] :
( ~ q(X3,X4)
| ~ p1(X3)
| ~ sP9 ),
inference(cnf_transformation,[],[f208]) ).
fof(f970,plain,
( ~ spl111_123
| ~ spl111_125
| spl111_126 ),
inference(avatar_split_clause,[],[f346,f968,f963,f954]) ).
fof(f963,plain,
( spl111_125
<=> s1(sK99) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_125])]) ).
fof(f346,plain,
! [X2,X3] :
( p(X2,X3)
| ~ s1(sK99)
| ~ sP10 ),
inference(cnf_transformation,[],[f204]) ).
fof(f204,plain,
( ! [X2,X3] :
( ~ p(sK99,sK100)
& s1(sK99)
& ( p(X2,X3)
| ~ s1(sK99) )
& r1(sK100)
& r1(sK99)
& ( p(sK100,X3)
| ~ r1(X3) )
& q1(sK100)
& q1(sK99)
& ( p(X2,sK99)
| ~ q1(X2) ) )
| ~ sP10 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK99,sK100])],[f202,f203]) ).
fof(f203,plain,
( ? [X0,X1] :
! [X2,X3] :
( ~ p(X0,X1)
& s1(X0)
& ( p(X2,X3)
| ~ s1(X0) )
& r1(X1)
& r1(X0)
& ( p(X1,X3)
| ~ r1(X3) )
& q1(X1)
& q1(X0)
& ( p(X2,X0)
| ~ q1(X2) ) )
=> ! [X3,X2] :
( ~ p(sK99,sK100)
& s1(sK99)
& ( p(X2,X3)
| ~ s1(sK99) )
& r1(sK100)
& r1(sK99)
& ( p(sK100,X3)
| ~ r1(X3) )
& q1(sK100)
& q1(sK99)
& ( p(X2,sK99)
| ~ q1(X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f202,plain,
( ? [X0,X1] :
! [X2,X3] :
( ~ p(X0,X1)
& s1(X0)
& ( p(X2,X3)
| ~ s1(X0) )
& r1(X1)
& r1(X0)
& ( p(X1,X3)
| ~ r1(X3) )
& q1(X1)
& q1(X0)
& ( p(X2,X0)
| ~ q1(X2) ) )
| ~ sP10 ),
inference(rectify,[],[f201]) ).
fof(f201,plain,
( ? [X7,X8] :
! [X9,X10] :
( ~ p(X7,X8)
& s1(X7)
& ( p(X9,X10)
| ~ s1(X7) )
& r1(X8)
& r1(X7)
& ( p(X8,X10)
| ~ r1(X10) )
& q1(X8)
& q1(X7)
& ( p(X9,X7)
| ~ q1(X9) ) )
| ~ sP10 ),
inference(nnf_transformation,[],[f17]) ).
fof(f966,plain,
( ~ spl111_123
| spl111_125 ),
inference(avatar_split_clause,[],[f347,f963,f954]) ).
fof(f347,plain,
( s1(sK99)
| ~ sP10 ),
inference(cnf_transformation,[],[f204]) ).
fof(f961,plain,
( ~ spl111_123
| ~ spl111_124 ),
inference(avatar_split_clause,[],[f348,f958,f954]) ).
fof(f348,plain,
( ~ p(sK99,sK100)
| ~ sP10 ),
inference(cnf_transformation,[],[f204]) ).
fof(f952,plain,
( ~ spl111_120
| spl111_46 ),
inference(avatar_split_clause,[],[f336,f602,f938]) ).
fof(f336,plain,
! [X4] :
( q1(f(X4))
| ~ sP11 ),
inference(cnf_transformation,[],[f200]) ).
fof(f200,plain,
( ( ! [X2,X3] :
( ~ q1(X2)
| ( ( ( ( ~ r1(sK98)
| ~ r1(sK97) )
& r1(X3) )
| ~ p1(X2) )
& p1(f(X3)) ) )
& ! [X4] : q1(f(X4)) )
| ~ sP11 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK97,sK98])],[f198,f199]) ).
fof(f199,plain,
( ? [X0,X1] :
( ! [X2,X3] :
( ~ q1(X2)
| ( ( ( ( ~ r1(X1)
| ~ r1(X0) )
& r1(X3) )
| ~ p1(X2) )
& p1(f(X3)) ) )
& ! [X4] : q1(f(X4)) )
=> ( ! [X3,X2] :
( ~ q1(X2)
| ( ( ( ( ~ r1(sK98)
| ~ r1(sK97) )
& r1(X3) )
| ~ p1(X2) )
& p1(f(X3)) ) )
& ! [X4] : q1(f(X4)) ) ),
introduced(choice_axiom,[]) ).
fof(f198,plain,
( ? [X0,X1] :
( ! [X2,X3] :
( ~ q1(X2)
| ( ( ( ( ~ r1(X1)
| ~ r1(X0) )
& r1(X3) )
| ~ p1(X2) )
& p1(f(X3)) ) )
& ! [X4] : q1(f(X4)) )
| ~ sP11 ),
inference(rectify,[],[f197]) ).
fof(f197,plain,
( ? [X131,X132] :
( ! [X134,X135] :
( ~ q1(X134)
| ( ( ( ( ~ r1(X132)
| ~ r1(X131) )
& r1(X135) )
| ~ p1(X134) )
& p1(f(X135)) ) )
& ! [X133] : q1(f(X133)) )
| ~ sP11 ),
inference(nnf_transformation,[],[f18]) ).
fof(f951,plain,
( ~ spl111_120
| spl111_117
| spl111_118 ),
inference(avatar_split_clause,[],[f337,f929,f926,f938]) ).
fof(f337,plain,
! [X2,X3] :
( ~ q1(X2)
| p1(f(X3))
| ~ sP11 ),
inference(cnf_transformation,[],[f200]) ).
fof(f950,plain,
( ~ spl111_120
| spl111_53
| spl111_116 ),
inference(avatar_split_clause,[],[f338,f921,f634,f938]) ).
fof(f338,plain,
! [X2,X3] :
( ~ q1(X2)
| r1(X3)
| ~ p1(X2)
| ~ sP11 ),
inference(cnf_transformation,[],[f200]) ).
fof(f949,plain,
( ~ spl111_120
| ~ spl111_121
| ~ spl111_122
| spl111_116 ),
inference(avatar_split_clause,[],[f339,f921,f946,f942,f938]) ).
fof(f339,plain,
! [X2] :
( ~ q1(X2)
| ~ r1(sK98)
| ~ r1(sK97)
| ~ p1(X2)
| ~ sP11 ),
inference(cnf_transformation,[],[f200]) ).
fof(f936,plain,
( ~ spl111_113
| spl111_119 ),
inference(avatar_split_clause,[],[f332,f933,f909]) ).
fof(f332,plain,
( q1(f(sK95))
| ~ sP12 ),
inference(cnf_transformation,[],[f196]) ).
fof(f196,plain,
( ( ! [X2,X3] :
( ~ q1(X2)
| ( ( ( ( ~ r1(sK96)
| ~ r1(sK95) )
& r1(X3) )
| ~ p1(X2) )
& p1(f(X3)) ) )
& q1(f(sK95)) )
| ~ sP12 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK95,sK96])],[f194,f195]) ).
fof(f195,plain,
( ? [X0,X1] :
( ! [X2,X3] :
( ~ q1(X2)
| ( ( ( ( ~ r1(X1)
| ~ r1(X0) )
& r1(X3) )
| ~ p1(X2) )
& p1(f(X3)) ) )
& q1(f(X0)) )
=> ( ! [X3,X2] :
( ~ q1(X2)
| ( ( ( ( ~ r1(sK96)
| ~ r1(sK95) )
& r1(X3) )
| ~ p1(X2) )
& p1(f(X3)) ) )
& q1(f(sK95)) ) ),
introduced(choice_axiom,[]) ).
fof(f194,plain,
( ? [X0,X1] :
( ! [X2,X3] :
( ~ q1(X2)
| ( ( ( ( ~ r1(X1)
| ~ r1(X0) )
& r1(X3) )
| ~ p1(X2) )
& p1(f(X3)) ) )
& q1(f(X0)) )
| ~ sP12 ),
inference(rectify,[],[f193]) ).
fof(f193,plain,
( ? [X127,X128] :
( ! [X129,X130] :
( ~ q1(X129)
| ( ( ( ( ~ r1(X128)
| ~ r1(X127) )
& r1(X130) )
| ~ p1(X129) )
& p1(f(X130)) ) )
& q1(f(X127)) )
| ~ sP12 ),
inference(nnf_transformation,[],[f19]) ).
fof(f931,plain,
( ~ spl111_113
| spl111_117
| spl111_118 ),
inference(avatar_split_clause,[],[f333,f929,f926,f909]) ).
fof(f333,plain,
! [X2,X3] :
( ~ q1(X2)
| p1(f(X3))
| ~ sP12 ),
inference(cnf_transformation,[],[f196]) ).
fof(f924,plain,
( ~ spl111_113
| spl111_53
| spl111_116 ),
inference(avatar_split_clause,[],[f334,f921,f634,f909]) ).
fof(f334,plain,
! [X2,X3] :
( ~ q1(X2)
| r1(X3)
| ~ p1(X2)
| ~ sP12 ),
inference(cnf_transformation,[],[f196]) ).
fof(f923,plain,
( ~ spl111_113
| ~ spl111_114
| ~ spl111_115
| spl111_116 ),
inference(avatar_split_clause,[],[f335,f921,f917,f913,f909]) ).
fof(f335,plain,
! [X2] :
( ~ q1(X2)
| ~ r1(sK96)
| ~ r1(sK95)
| ~ p1(X2)
| ~ sP12 ),
inference(cnf_transformation,[],[f196]) ).
fof(f907,plain,
( ~ spl111_108
| spl111_112 ),
inference(avatar_split_clause,[],[f328,f905,f887]) ).
fof(f328,plain,
! [X2] :
( c(X2)
| b(X2)
| ~ a1(X2)
| ~ sP13 ),
inference(cnf_transformation,[],[f192]) ).
fof(f192,plain,
( ( ! [X0] :
( ~ c(X0)
| ~ a1(X0) )
& ~ b(sK94)
& a1(sK94)
& ! [X2] :
( c(X2)
| b(X2)
| ~ a1(X2) ) )
| ~ sP13 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK94])],[f190,f191]) ).
fof(f191,plain,
( ? [X1] :
( ~ b(X1)
& a1(X1) )
=> ( ~ b(sK94)
& a1(sK94) ) ),
introduced(choice_axiom,[]) ).
fof(f190,plain,
( ( ! [X0] :
( ~ c(X0)
| ~ a1(X0) )
& ? [X1] :
( ~ b(X1)
& a1(X1) )
& ! [X2] :
( c(X2)
| b(X2)
| ~ a1(X2) ) )
| ~ sP13 ),
inference(rectify,[],[f189]) ).
fof(f189,plain,
( ( ! [X126] :
( ~ c(X126)
| ~ a1(X126) )
& ? [X124] :
( ~ b(X124)
& a1(X124) )
& ! [X125] :
( c(X125)
| b(X125)
| ~ a1(X125) ) )
| ~ sP13 ),
inference(nnf_transformation,[],[f20]) ).
fof(f903,plain,
( ~ spl111_108
| spl111_111 ),
inference(avatar_split_clause,[],[f329,f900,f887]) ).
fof(f329,plain,
( a1(sK94)
| ~ sP13 ),
inference(cnf_transformation,[],[f192]) ).
fof(f898,plain,
( ~ spl111_108
| ~ spl111_110 ),
inference(avatar_split_clause,[],[f330,f895,f887]) ).
fof(f330,plain,
( ~ b(sK94)
| ~ sP13 ),
inference(cnf_transformation,[],[f192]) ).
fof(f893,plain,
( ~ spl111_108
| spl111_109 ),
inference(avatar_split_clause,[],[f331,f891,f887]) ).
fof(f331,plain,
! [X0] :
( ~ c(X0)
| ~ a1(X0)
| ~ sP13 ),
inference(cnf_transformation,[],[f192]) ).
fof(f885,plain,
( ~ spl111_105
| spl111_11 ),
inference(avatar_split_clause,[],[f324,f443,f872]) ).
fof(f324,plain,
! [X3] :
( p1(X3)
| ~ sP14 ),
inference(cnf_transformation,[],[f188]) ).
fof(f188,plain,
( ( ! [X0] :
( ~ r1(X0)
& ~ p1(sK92(X0)) )
& q1(sK93)
& ! [X3] : p1(X3) )
| ~ sP14 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK92,sK93])],[f185,f187,f186]) ).
fof(f186,plain,
! [X0] :
( ? [X1] :
( ~ r1(X0)
& ~ p1(X1) )
=> ( ~ r1(X0)
& ~ p1(sK92(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f187,plain,
( ? [X2] : q1(X2)
=> q1(sK93) ),
introduced(choice_axiom,[]) ).
fof(f185,plain,
( ( ! [X0] :
? [X1] :
( ~ r1(X0)
& ~ p1(X1) )
& ? [X2] : q1(X2)
& ! [X3] : p1(X3) )
| ~ sP14 ),
inference(rectify,[],[f184]) ).
fof(f184,plain,
( ( ! [X105] :
? [X106] :
( ~ r1(X105)
& ~ p1(X106) )
& ? [X103] : q1(X103)
& ! [X104] : p1(X104) )
| ~ sP14 ),
inference(nnf_transformation,[],[f21]) ).
fof(f879,plain,
( ~ spl111_105
| spl111_106 ),
inference(avatar_split_clause,[],[f326,f877,f872]) ).
fof(f326,plain,
! [X0] :
( ~ p1(sK92(X0))
| ~ sP14 ),
inference(cnf_transformation,[],[f188]) ).
fof(f870,plain,
( ~ spl111_102
| spl111_11 ),
inference(avatar_split_clause,[],[f320,f443,f858]) ).
fof(f320,plain,
! [X2] :
( p1(X2)
| ~ sP15 ),
inference(cnf_transformation,[],[f183]) ).
fof(f183,plain,
( ( ! [X0] :
( ~ r1(X0)
& ~ p1(sK90(X0)) )
& ! [X2] :
( q1(sK91(X2))
& p1(X2) ) )
| ~ sP15 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK90,sK91])],[f180,f182,f181]) ).
fof(f181,plain,
! [X0] :
( ? [X1] :
( ~ r1(X0)
& ~ p1(X1) )
=> ( ~ r1(X0)
& ~ p1(sK90(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f182,plain,
! [X2] :
( ? [X3] :
( q1(X3)
& p1(X2) )
=> ( q1(sK91(X2))
& p1(X2) ) ),
introduced(choice_axiom,[]) ).
fof(f180,plain,
( ( ! [X0] :
? [X1] :
( ~ r1(X0)
& ~ p1(X1) )
& ! [X2] :
? [X3] :
( q1(X3)
& p1(X2) ) )
| ~ sP15 ),
inference(rectify,[],[f179]) ).
fof(f179,plain,
( ( ! [X101] :
? [X102] :
( ~ r1(X101)
& ~ p1(X102) )
& ! [X99] :
? [X100] :
( q1(X100)
& p1(X99) ) )
| ~ sP15 ),
inference(nnf_transformation,[],[f22]) ).
fof(f865,plain,
( ~ spl111_102
| spl111_103 ),
inference(avatar_split_clause,[],[f322,f863,f858]) ).
fof(f322,plain,
! [X0] :
( ~ p1(sK90(X0))
| ~ sP15 ),
inference(cnf_transformation,[],[f183]) ).
fof(f856,plain,
( ~ spl111_98
| spl111_75 ),
inference(avatar_split_clause,[],[f316,f733,f839]) ).
fof(f316,plain,
! [X2] :
( q1(X2)
| ~ p1(X2)
| ~ sP16 ),
inference(cnf_transformation,[],[f178]) ).
fof(f178,plain,
( ( ~ q1(sK89)
& ! [X1] :
( p1(X1)
| ~ r1(X1) )
& r1(sK89)
& ! [X2] :
( q1(X2)
| ~ p1(X2) ) )
| ~ sP16 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK89])],[f176,f177]) ).
fof(f177,plain,
( ? [X0] :
( ~ q1(X0)
& ! [X1] :
( p1(X1)
| ~ r1(X1) )
& r1(X0)
& ! [X2] :
( q1(X2)
| ~ p1(X2) ) )
=> ( ~ q1(sK89)
& ! [X1] :
( p1(X1)
| ~ r1(X1) )
& r1(sK89)
& ! [X2] :
( q1(X2)
| ~ p1(X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f176,plain,
( ? [X0] :
( ~ q1(X0)
& ! [X1] :
( p1(X1)
| ~ r1(X1) )
& r1(X0)
& ! [X2] :
( q1(X2)
| ~ p1(X2) ) )
| ~ sP16 ),
inference(rectify,[],[f175]) ).
fof(f175,plain,
( ? [X28] :
( ~ q1(X28)
& ! [X30] :
( p1(X30)
| ~ r1(X30) )
& r1(X28)
& ! [X29] :
( q1(X29)
| ~ p1(X29) ) )
| ~ sP16 ),
inference(nnf_transformation,[],[f23]) ).
fof(f855,plain,
( ~ spl111_98
| spl111_101 ),
inference(avatar_split_clause,[],[f317,f852,f839]) ).
fof(f317,plain,
( r1(sK89)
| ~ sP16 ),
inference(cnf_transformation,[],[f178]) ).
fof(f850,plain,
( ~ spl111_98
| spl111_100 ),
inference(avatar_split_clause,[],[f318,f848,f839]) ).
fof(f318,plain,
! [X1] :
( p1(X1)
| ~ r1(X1)
| ~ sP16 ),
inference(cnf_transformation,[],[f178]) ).
fof(f846,plain,
( ~ spl111_98
| ~ spl111_99 ),
inference(avatar_split_clause,[],[f319,f843,f839]) ).
fof(f319,plain,
( ~ q1(sK89)
| ~ sP16 ),
inference(cnf_transformation,[],[f178]) ).
fof(f837,plain,
( ~ spl111_97
| spl111_78
| spl111_96 ),
inference(avatar_split_clause,[],[f312,f823,f746,f831]) ).
fof(f746,plain,
( spl111_78
<=> a0 ),
introduced(avatar_definition,[new_symbols(naming,[spl111_78])]) ).
fof(f312,plain,
( b0
| a0
| ~ sP17 ),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
( ( ~ b0
& ~ a0
& ( ~ b0
| ~ a0 )
& ( b0
| a0 ) )
| ~ sP17 ),
inference(flattening,[],[f173]) ).
fof(f173,plain,
( ( ~ b0
& ~ a0
& ( ~ b0
| ~ a0 )
& ( b0
| a0 ) )
| ~ sP17 ),
inference(nnf_transformation,[],[f24]) ).
fof(f835,plain,
( ~ spl111_97
| ~ spl111_78 ),
inference(avatar_split_clause,[],[f314,f746,f831]) ).
fof(f314,plain,
( ~ a0
| ~ sP17 ),
inference(cnf_transformation,[],[f174]) ).
fof(f834,plain,
( ~ spl111_97
| ~ spl111_96 ),
inference(avatar_split_clause,[],[f315,f823,f831]) ).
fof(f315,plain,
( ~ b0
| ~ sP17 ),
inference(cnf_transformation,[],[f174]) ).
fof(f829,plain,
( ~ spl111_95
| spl111_78 ),
inference(avatar_split_clause,[],[f308,f746,f819]) ).
fof(f308,plain,
( a0
| ~ sP18 ),
inference(cnf_transformation,[],[f172]) ).
fof(f172,plain,
( ( ( ~ b0
| ~ a0 )
& ( b0
| a0 )
& b0
& a0 )
| ~ sP18 ),
inference(flattening,[],[f171]) ).
fof(f171,plain,
( ( ( ~ b0
| ~ a0 )
& ( b0
| a0 )
& b0
& a0 )
| ~ sP18 ),
inference(nnf_transformation,[],[f25]) ).
fof(f828,plain,
( ~ spl111_95
| spl111_96 ),
inference(avatar_split_clause,[],[f309,f823,f819]) ).
fof(f309,plain,
( b0
| ~ sP18 ),
inference(cnf_transformation,[],[f172]) ).
fof(f826,plain,
( ~ spl111_95
| ~ spl111_78
| ~ spl111_96 ),
inference(avatar_split_clause,[],[f311,f823,f746,f819]) ).
fof(f311,plain,
( ~ b0
| ~ a0
| ~ sP18 ),
inference(cnf_transformation,[],[f172]) ).
fof(f817,plain,
( ~ spl111_88
| spl111_93
| spl111_94 ),
inference(avatar_split_clause,[],[f304,f815,f811,f791]) ).
fof(f304,plain,
! [X3] :
( p(f(X3),X3)
| r1(sK88)
| ~ sP19 ),
inference(cnf_transformation,[],[f170]) ).
fof(f170,plain,
( ( ! [X1,X2] :
( ( ~ q(X1,X2)
& q(f(sK88),sK88) )
| ~ p(X1,X2) )
& ! [X3] :
( p(f(X3),X3)
| ( ~ r1(X3)
& r1(sK88) ) ) )
| ~ sP19 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK88])],[f168,f169]) ).
fof(f169,plain,
( ? [X0] :
( ! [X1,X2] :
( ( ~ q(X1,X2)
& q(f(X0),X0) )
| ~ p(X1,X2) )
& ! [X3] :
( p(f(X3),X3)
| ( ~ r1(X3)
& r1(X0) ) ) )
=> ( ! [X2,X1] :
( ( ~ q(X1,X2)
& q(f(sK88),sK88) )
| ~ p(X1,X2) )
& ! [X3] :
( p(f(X3),X3)
| ( ~ r1(X3)
& r1(sK88) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f168,plain,
( ? [X0] :
( ! [X1,X2] :
( ( ~ q(X1,X2)
& q(f(X0),X0) )
| ~ p(X1,X2) )
& ! [X3] :
( p(f(X3),X3)
| ( ~ r1(X3)
& r1(X0) ) ) )
| ~ sP19 ),
inference(rectify,[],[f167]) ).
fof(f167,plain,
( ? [X3] :
( ! [X5,X6] :
( ( ~ q(X5,X6)
& q(f(X3),X3) )
| ~ p(X5,X6) )
& ! [X4] :
( p(f(X4),X4)
| ( ~ r1(X4)
& r1(X3) ) ) )
| ~ sP19 ),
inference(nnf_transformation,[],[f26]) ).
fof(f809,plain,
( ~ spl111_88
| spl111_92 ),
inference(avatar_split_clause,[],[f305,f807,f791]) ).
fof(f305,plain,
! [X3] :
( p(f(X3),X3)
| ~ r1(X3)
| ~ sP19 ),
inference(cnf_transformation,[],[f170]) ).
fof(f805,plain,
( ~ spl111_88
| spl111_90
| spl111_91 ),
inference(avatar_split_clause,[],[f306,f802,f799,f791]) ).
fof(f306,plain,
! [X2,X1] :
( q(f(sK88),sK88)
| ~ p(X1,X2)
| ~ sP19 ),
inference(cnf_transformation,[],[f170]) ).
fof(f797,plain,
( ~ spl111_88
| spl111_89 ),
inference(avatar_split_clause,[],[f307,f795,f791]) ).
fof(f307,plain,
! [X2,X1] :
( ~ q(X1,X2)
| ~ p(X1,X2)
| ~ sP19 ),
inference(cnf_transformation,[],[f170]) ).
fof(f789,plain,
( ~ spl111_84
| spl111_75 ),
inference(avatar_split_clause,[],[f300,f733,f772]) ).
fof(f300,plain,
! [X2] :
( q1(X2)
| ~ p1(X2)
| ~ sP20 ),
inference(cnf_transformation,[],[f166]) ).
fof(f166,plain,
( ( ! [X0] :
( ~ r1(X0)
& p1(X0) )
& ( r1(sK87)
| ~ q1(sK87) )
& ! [X2] :
( q1(X2)
| ~ p1(X2) ) )
| ~ sP20 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK87])],[f164,f165]) ).
fof(f165,plain,
( ? [X1] :
( r1(X1)
| ~ q1(X1) )
=> ( r1(sK87)
| ~ q1(sK87) ) ),
introduced(choice_axiom,[]) ).
fof(f164,plain,
( ( ! [X0] :
( ~ r1(X0)
& p1(X0) )
& ? [X1] :
( r1(X1)
| ~ q1(X1) )
& ! [X2] :
( q1(X2)
| ~ p1(X2) ) )
| ~ sP20 ),
inference(rectify,[],[f163]) ).
fof(f163,plain,
( ( ! [X2] :
( ~ r1(X2)
& p1(X2) )
& ? [X0] :
( r1(X0)
| ~ q1(X0) )
& ! [X1] :
( q1(X1)
| ~ p1(X1) ) )
| ~ sP20 ),
inference(nnf_transformation,[],[f27]) ).
fof(f788,plain,
( ~ spl111_84
| ~ spl111_86
| spl111_87 ),
inference(avatar_split_clause,[],[f301,f785,f781,f772]) ).
fof(f301,plain,
( r1(sK87)
| ~ q1(sK87)
| ~ sP20 ),
inference(cnf_transformation,[],[f166]) ).
fof(f779,plain,
( ~ spl111_84
| spl111_11 ),
inference(avatar_split_clause,[],[f302,f443,f772]) ).
fof(f302,plain,
! [X0] :
( p1(X0)
| ~ sP20 ),
inference(cnf_transformation,[],[f166]) ).
fof(f778,plain,
( ~ spl111_84
| spl111_85 ),
inference(avatar_split_clause,[],[f303,f776,f772]) ).
fof(f303,plain,
! [X0] :
( ~ r1(X0)
| ~ sP20 ),
inference(cnf_transformation,[],[f166]) ).
fof(f766,plain,
( ~ spl111_80
| spl111_82 ),
inference(avatar_split_clause,[],[f298,f764,f756]) ).
fof(f298,plain,
! [X1] :
( a(sK86(X1),sK86(X1))
| ~ sP21 ),
inference(cnf_transformation,[],[f162]) ).
fof(f162,plain,
( ( ! [X0] : ~ a(X0,X0)
& ! [X1] :
( a(sK86(X1),sK86(X1))
& a(X1,sK86(X1)) ) )
| ~ sP21 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK86])],[f160,f161]) ).
fof(f161,plain,
! [X1] :
( ? [X2] :
( a(X2,X2)
& a(X1,X2) )
=> ( a(sK86(X1),sK86(X1))
& a(X1,sK86(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f160,plain,
( ( ! [X0] : ~ a(X0,X0)
& ! [X1] :
? [X2] :
( a(X2,X2)
& a(X1,X2) ) )
| ~ sP21 ),
inference(rectify,[],[f159]) ).
fof(f159,plain,
( ( ! [X98] : ~ a(X98,X98)
& ! [X96] :
? [X97] :
( a(X97,X97)
& a(X96,X97) ) )
| ~ sP21 ),
inference(nnf_transformation,[],[f28]) ).
fof(f762,plain,
( ~ spl111_80
| spl111_81 ),
inference(avatar_split_clause,[],[f299,f760,f756]) ).
fof(f299,plain,
! [X0] :
( ~ a(X0,X0)
| ~ sP21 ),
inference(cnf_transformation,[],[f162]) ).
fof(f754,plain,
( ~ spl111_76
| spl111_79 ),
inference(avatar_split_clause,[],[f294,f751,f737]) ).
fof(f294,plain,
( p1(sK85)
| ~ sP22 ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
( ( ( ( sP2
& a0 )
| ! [X0] : ~ p1(X0) )
& p1(sK85) )
| ~ sP22 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK85])],[f156,f157]) ).
fof(f157,plain,
( ? [X1] : p1(X1)
=> p1(sK85) ),
introduced(choice_axiom,[]) ).
fof(f156,plain,
( ( ( ( sP2
& a0 )
| ! [X0] : ~ p1(X0) )
& ? [X1] : p1(X1) )
| ~ sP22 ),
inference(rectify,[],[f155]) ).
fof(f155,plain,
( ( ( ( sP2
& a0 )
| ! [X83] : ~ p1(X83) )
& ? [X82] : p1(X82) )
| ~ sP22 ),
inference(nnf_transformation,[],[f29]) ).
fof(f744,plain,
( ~ spl111_76
| spl111_7
| spl111_77 ),
inference(avatar_split_clause,[],[f296,f741,f426,f737]) ).
fof(f296,plain,
! [X0] :
( sP2
| ~ p1(X0)
| ~ sP22 ),
inference(cnf_transformation,[],[f158]) ).
fof(f735,plain,
( ~ spl111_73
| spl111_75 ),
inference(avatar_split_clause,[],[f291,f733,f723]) ).
fof(f291,plain,
! [X2] :
( q1(X2)
| ~ p1(X2)
| ~ sP23 ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
( ( ~ q1(sK84)
& ! [X1] : p1(X1)
& ! [X2] :
( q1(X2)
| ~ p1(X2) ) )
| ~ sP23 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK84])],[f152,f153]) ).
fof(f153,plain,
( ? [X0] : ~ q1(X0)
=> ~ q1(sK84) ),
introduced(choice_axiom,[]) ).
fof(f152,plain,
( ( ? [X0] : ~ q1(X0)
& ! [X1] : p1(X1)
& ! [X2] :
( q1(X2)
| ~ p1(X2) ) )
| ~ sP23 ),
inference(rectify,[],[f151]) ).
fof(f151,plain,
( ( ? [X79] : ~ q1(X79)
& ! [X78] : p1(X78)
& ! [X77] :
( q1(X77)
| ~ p1(X77) ) )
| ~ sP23 ),
inference(nnf_transformation,[],[f30]) ).
fof(f731,plain,
( ~ spl111_73
| spl111_11 ),
inference(avatar_split_clause,[],[f292,f443,f723]) ).
fof(f292,plain,
! [X1] :
( p1(X1)
| ~ sP23 ),
inference(cnf_transformation,[],[f154]) ).
fof(f730,plain,
( ~ spl111_73
| ~ spl111_74 ),
inference(avatar_split_clause,[],[f293,f727,f723]) ).
fof(f293,plain,
( ~ q1(sK84)
| ~ sP23 ),
inference(cnf_transformation,[],[f154]) ).
fof(f721,plain,
( ~ spl111_70
| spl111_72 ),
inference(avatar_split_clause,[],[f288,f719,f709]) ).
fof(f288,plain,
! [X2] :
( b(X2)
| ~ a1(X2)
| ~ sP24 ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
( ( ! [X0] : ~ b(X0)
& a1(sK83)
& ! [X2] :
( b(X2)
| ~ a1(X2) ) )
| ~ sP24 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK83])],[f148,f149]) ).
fof(f149,plain,
( ? [X1] : a1(X1)
=> a1(sK83) ),
introduced(choice_axiom,[]) ).
fof(f148,plain,
( ( ! [X0] : ~ b(X0)
& ? [X1] : a1(X1)
& ! [X2] :
( b(X2)
| ~ a1(X2) ) )
| ~ sP24 ),
inference(rectify,[],[f147]) ).
fof(f147,plain,
( ( ! [X72] : ~ b(X72)
& ? [X71] : a1(X71)
& ! [X70] :
( b(X70)
| ~ a1(X70) ) )
| ~ sP24 ),
inference(nnf_transformation,[],[f31]) ).
fof(f717,plain,
( ~ spl111_70
| spl111_71 ),
inference(avatar_split_clause,[],[f289,f714,f709]) ).
fof(f289,plain,
( a1(sK83)
| ~ sP24 ),
inference(cnf_transformation,[],[f150]) ).
fof(f712,plain,
( ~ spl111_70
| spl111_59 ),
inference(avatar_split_clause,[],[f290,f661,f709]) ).
fof(f290,plain,
! [X0] :
( ~ b(X0)
| ~ sP24 ),
inference(cnf_transformation,[],[f150]) ).
fof(f707,plain,
( ~ spl111_66
| ~ spl111_68
| spl111_69 ),
inference(avatar_split_clause,[],[f285,f704,f700,f691]) ).
fof(f285,plain,
( b(sK82)
| ~ a1(sK82)
| ~ sP25 ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
( ( ! [X0] : ~ b(X0)
& ! [X1] : a1(X1)
& ( b(sK82)
| ~ a1(sK82) ) )
| ~ sP25 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK82])],[f144,f145]) ).
fof(f145,plain,
( ? [X2] :
( b(X2)
| ~ a1(X2) )
=> ( b(sK82)
| ~ a1(sK82) ) ),
introduced(choice_axiom,[]) ).
fof(f144,plain,
( ( ! [X0] : ~ b(X0)
& ! [X1] : a1(X1)
& ? [X2] :
( b(X2)
| ~ a1(X2) ) )
| ~ sP25 ),
inference(rectify,[],[f143]) ).
fof(f143,plain,
( ( ! [X69] : ~ b(X69)
& ! [X68] : a1(X68)
& ? [X67] :
( b(X67)
| ~ a1(X67) ) )
| ~ sP25 ),
inference(nnf_transformation,[],[f32]) ).
fof(f698,plain,
( ~ spl111_66
| spl111_67 ),
inference(avatar_split_clause,[],[f286,f696,f691]) ).
fof(f286,plain,
! [X1] :
( a1(X1)
| ~ sP25 ),
inference(cnf_transformation,[],[f146]) ).
fof(f694,plain,
( ~ spl111_66
| spl111_59 ),
inference(avatar_split_clause,[],[f287,f661,f691]) ).
fof(f287,plain,
! [X0] :
( ~ b(X0)
| ~ sP25 ),
inference(cnf_transformation,[],[f146]) ).
fof(f689,plain,
( ~ spl111_62
| spl111_65 ),
inference(avatar_split_clause,[],[f282,f686,f674]) ).
fof(f282,plain,
( a1(sK81)
| ~ sP26 ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
( ( ! [X0] :
( ~ b(X0)
| ~ a1(X0) )
& ! [X1] : b(X1)
& a1(sK81) )
| ~ sP26 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK81])],[f140,f141]) ).
fof(f141,plain,
( ? [X2] : a1(X2)
=> a1(sK81) ),
introduced(choice_axiom,[]) ).
fof(f140,plain,
( ( ! [X0] :
( ~ b(X0)
| ~ a1(X0) )
& ! [X1] : b(X1)
& ? [X2] : a1(X2) )
| ~ sP26 ),
inference(rectify,[],[f139]) ).
fof(f139,plain,
( ( ! [X64] :
( ~ b(X64)
| ~ a1(X64) )
& ! [X62] : b(X62)
& ? [X63] : a1(X63) )
| ~ sP26 ),
inference(nnf_transformation,[],[f33]) ).
fof(f684,plain,
( ~ spl111_62
| spl111_64 ),
inference(avatar_split_clause,[],[f283,f682,f674]) ).
fof(f283,plain,
! [X1] :
( b(X1)
| ~ sP26 ),
inference(cnf_transformation,[],[f142]) ).
fof(f680,plain,
( ~ spl111_62
| spl111_63 ),
inference(avatar_split_clause,[],[f284,f678,f674]) ).
fof(f284,plain,
! [X0] :
( ~ b(X0)
| ~ a1(X0)
| ~ sP26 ),
inference(cnf_transformation,[],[f142]) ).
fof(f672,plain,
( ~ spl111_58
| spl111_61 ),
inference(avatar_split_clause,[],[f279,f669,f657]) ).
fof(f279,plain,
( b(sK80)
| ~ sP27 ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
( ( ! [X0] :
( ~ b(X0)
& ~ a1(X0) )
& b(sK80) )
| ~ sP27 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK80])],[f136,f137]) ).
fof(f137,plain,
( ? [X1] : b(X1)
=> b(sK80) ),
introduced(choice_axiom,[]) ).
fof(f136,plain,
( ( ! [X0] :
( ~ b(X0)
& ~ a1(X0) )
& ? [X1] : b(X1) )
| ~ sP27 ),
inference(rectify,[],[f135]) ).
fof(f135,plain,
( ( ! [X61] :
( ~ b(X61)
& ~ a1(X61) )
& ? [X60] : b(X60) )
| ~ sP27 ),
inference(nnf_transformation,[],[f34]) ).
fof(f663,plain,
( ~ spl111_58
| spl111_59 ),
inference(avatar_split_clause,[],[f281,f661,f657]) ).
fof(f281,plain,
! [X0] :
( ~ b(X0)
| ~ sP27 ),
inference(cnf_transformation,[],[f138]) ).
fof(f655,plain,
( ~ spl111_54
| spl111_57 ),
inference(avatar_split_clause,[],[f276,f652,f638]) ).
fof(f276,plain,
( sP5
| ~ sP28 ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
( ( ~ eq(sK79,sK78)
& eq(sK78,sK79)
& sP5 )
| ~ sP28 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK78,sK79])],[f132,f133]) ).
fof(f133,plain,
( ? [X0,X1] :
( ~ eq(X1,X0)
& eq(X0,X1) )
=> ( ~ eq(sK79,sK78)
& eq(sK78,sK79) ) ),
introduced(choice_axiom,[]) ).
fof(f132,plain,
( ( ? [X0,X1] :
( ~ eq(X1,X0)
& eq(X0,X1) )
& sP5 )
| ~ sP28 ),
inference(rectify,[],[f131]) ).
fof(f131,plain,
( ( ? [X40,X41] :
( ~ eq(X41,X40)
& eq(X40,X41) )
& sP5 )
| ~ sP28 ),
inference(nnf_transformation,[],[f35]) ).
fof(f650,plain,
( ~ spl111_54
| spl111_56 ),
inference(avatar_split_clause,[],[f277,f647,f638]) ).
fof(f277,plain,
( eq(sK78,sK79)
| ~ sP28 ),
inference(cnf_transformation,[],[f134]) ).
fof(f645,plain,
( ~ spl111_54
| ~ spl111_55 ),
inference(avatar_split_clause,[],[f278,f642,f638]) ).
fof(f278,plain,
( ~ eq(sK79,sK78)
| ~ sP28 ),
inference(cnf_transformation,[],[f134]) ).
fof(f636,plain,
( ~ spl111_50
| spl111_7
| spl111_53 ),
inference(avatar_split_clause,[],[f273,f634,f426,f620]) ).
fof(f273,plain,
! [X2,X3] :
( r1(X3)
| ~ p1(X2)
| ~ sP29 ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
( ! [X2,X3] :
( ~ r1(sK77)
& p1(sK76)
& ( r1(X3)
| ~ p1(X2) ) )
| ~ sP29 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK76,sK77])],[f128,f129]) ).
fof(f129,plain,
( ? [X0,X1] :
! [X2,X3] :
( ~ r1(X1)
& p1(X0)
& ( r1(X3)
| ~ p1(X2) ) )
=> ! [X3,X2] :
( ~ r1(sK77)
& p1(sK76)
& ( r1(X3)
| ~ p1(X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f128,plain,
( ? [X0,X1] :
! [X2,X3] :
( ~ r1(X1)
& p1(X0)
& ( r1(X3)
| ~ p1(X2) ) )
| ~ sP29 ),
inference(rectify,[],[f127]) ).
fof(f127,plain,
( ? [X24,X25] :
! [X26,X27] :
( ~ r1(X25)
& p1(X24)
& ( r1(X27)
| ~ p1(X26) ) )
| ~ sP29 ),
inference(nnf_transformation,[],[f36]) ).
fof(f632,plain,
( ~ spl111_50
| spl111_52 ),
inference(avatar_split_clause,[],[f274,f629,f620]) ).
fof(f274,plain,
( p1(sK76)
| ~ sP29 ),
inference(cnf_transformation,[],[f130]) ).
fof(f627,plain,
( ~ spl111_50
| ~ spl111_51 ),
inference(avatar_split_clause,[],[f275,f624,f620]) ).
fof(f275,plain,
( ~ r1(sK77)
| ~ sP29 ),
inference(cnf_transformation,[],[f130]) ).
fof(f617,plain,
( ~ spl111_47
| spl111_49 ),
inference(avatar_split_clause,[],[f271,f615,f606]) ).
fof(f271,plain,
! [X1] :
( q1(X1)
| ~ sP30 ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
( ( ~ q1(sK75)
& ! [X1] :
( q1(X1)
& p1(X1) ) )
| ~ sP30 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK75])],[f124,f125]) ).
fof(f125,plain,
( ? [X0] :
( ~ q1(X0)
& ! [X1] :
( q1(X1)
& p1(X1) ) )
=> ( ~ q1(sK75)
& ! [X1] :
( q1(X1)
& p1(X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f124,plain,
( ? [X0] :
( ~ q1(X0)
& ! [X1] :
( q1(X1)
& p1(X1) ) )
| ~ sP30 ),
inference(rectify,[],[f123]) ).
fof(f123,plain,
( ? [X11] :
( ~ q1(X11)
& ! [X12] :
( q1(X12)
& p1(X12) ) )
| ~ sP30 ),
inference(nnf_transformation,[],[f37]) ).
fof(f613,plain,
( ~ spl111_47
| ~ spl111_48 ),
inference(avatar_split_clause,[],[f272,f610,f606]) ).
fof(f272,plain,
( ~ q1(sK75)
| ~ sP30 ),
inference(cnf_transformation,[],[f126]) ).
fof(f604,plain,
( ~ spl111_44
| spl111_46 ),
inference(avatar_split_clause,[],[f268,f602,f593]) ).
fof(f268,plain,
! [X2] :
( q1(f(X2))
| ~ sP31 ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
( ( sP0(sK73,sK74)
& ! [X2] : q1(f(X2)) )
| ~ sP31 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK73,sK74])],[f120,f121]) ).
fof(f121,plain,
( ? [X0,X1] :
( sP0(X0,X1)
& ! [X2] : q1(f(X2)) )
=> ( sP0(sK73,sK74)
& ! [X2] : q1(f(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f120,plain,
( ? [X0,X1] :
( sP0(X0,X1)
& ! [X2] : q1(f(X2)) )
| ~ sP31 ),
inference(rectify,[],[f119]) ).
fof(f119,plain,
( ? [X136,X137] :
( sP0(X136,X137)
& ! [X138] : q1(f(X138)) )
| ~ sP31 ),
inference(nnf_transformation,[],[f38]) ).
fof(f600,plain,
( ~ spl111_44
| spl111_45 ),
inference(avatar_split_clause,[],[f269,f597,f593]) ).
fof(f269,plain,
( sP0(sK73,sK74)
| ~ sP31 ),
inference(cnf_transformation,[],[f122]) ).
fof(f591,plain,
( ~ spl111_41
| spl111_11 ),
inference(avatar_split_clause,[],[f266,f443,f579]) ).
fof(f266,plain,
! [X2] :
( p1(X2)
| ~ sP32 ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
( ( ( ~ p1(sK72)
| ~ p1(sK71) )
& ! [X2] : p1(X2) )
| ~ sP32 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK71,sK72])],[f116,f117]) ).
fof(f117,plain,
( ? [X0,X1] :
( ~ p1(X1)
| ~ p1(X0) )
=> ( ~ p1(sK72)
| ~ p1(sK71) ) ),
introduced(choice_axiom,[]) ).
fof(f116,plain,
( ( ? [X0,X1] :
( ~ p1(X1)
| ~ p1(X0) )
& ! [X2] : p1(X2) )
| ~ sP32 ),
inference(rectify,[],[f115]) ).
fof(f115,plain,
( ( ? [X108,X109] :
( ~ p1(X109)
| ~ p1(X108) )
& ! [X107] : p1(X107) )
| ~ sP32 ),
inference(nnf_transformation,[],[f39]) ).
fof(f590,plain,
( ~ spl111_41
| ~ spl111_42
| ~ spl111_43 ),
inference(avatar_split_clause,[],[f267,f587,f583,f579]) ).
fof(f267,plain,
( ~ p1(sK72)
| ~ p1(sK71)
| ~ sP32 ),
inference(cnf_transformation,[],[f118]) ).
fof(f577,plain,
( ~ spl111_39
| spl111_14 ),
inference(avatar_split_clause,[],[f264,f456,f569]) ).
fof(f264,plain,
! [X2] :
( p1(X2)
| ~ q1(X2)
| ~ sP33 ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
( ( sP1(sK70,sK69)
& ! [X2] :
( p1(X2)
| ~ q1(X2) ) )
| ~ sP33 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK69,sK70])],[f112,f113]) ).
fof(f113,plain,
( ? [X0,X1] :
( sP1(X1,X0)
& ! [X2] :
( p1(X2)
| ~ q1(X2) ) )
=> ( sP1(sK70,sK69)
& ! [X2] :
( p1(X2)
| ~ q1(X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f112,plain,
( ? [X0,X1] :
( sP1(X1,X0)
& ! [X2] :
( p1(X2)
| ~ q1(X2) ) )
| ~ sP33 ),
inference(rectify,[],[f111]) ).
fof(f111,plain,
( ? [X84,X85] :
( sP1(X85,X84)
& ! [X86] :
( p1(X86)
| ~ q1(X86) ) )
| ~ sP33 ),
inference(nnf_transformation,[],[f40]) ).
fof(f576,plain,
( ~ spl111_39
| spl111_40 ),
inference(avatar_split_clause,[],[f265,f573,f569]) ).
fof(f265,plain,
( sP1(sK70,sK69)
| ~ sP33 ),
inference(cnf_transformation,[],[f114]) ).
fof(f567,plain,
( ~ spl111_38
| spl111_11 ),
inference(avatar_split_clause,[],[f262,f443,f563]) ).
fof(f262,plain,
! [X1] :
( p1(X1)
| ~ sP34 ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
( ( ! [X0] : ~ p1(X0)
& ! [X1] : p1(X1) )
| ~ sP34 ),
inference(rectify,[],[f109]) ).
fof(f109,plain,
( ( ! [X81] : ~ p1(X81)
& ! [X80] : p1(X80) )
| ~ sP34 ),
inference(nnf_transformation,[],[f41]) ).
fof(f566,plain,
( ~ spl111_38
| spl111_7 ),
inference(avatar_split_clause,[],[f263,f426,f563]) ).
fof(f263,plain,
! [X0] :
( ~ p1(X0)
| ~ sP34 ),
inference(cnf_transformation,[],[f110]) ).
fof(f561,plain,
( ~ spl111_36
| spl111_14 ),
inference(avatar_split_clause,[],[f260,f456,f553]) ).
fof(f260,plain,
! [X2] :
( p1(X2)
| ~ q1(X2)
| ~ sP35 ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
( ( sP3(sK68,sK67)
& ! [X2] :
( p1(X2)
| ~ q1(X2) ) )
| ~ sP35 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK67,sK68])],[f106,f107]) ).
fof(f107,plain,
( ? [X0,X1] :
( sP3(X1,X0)
& ! [X2] :
( p1(X2)
| ~ q1(X2) ) )
=> ( sP3(sK68,sK67)
& ! [X2] :
( p1(X2)
| ~ q1(X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f106,plain,
( ? [X0,X1] :
( sP3(X1,X0)
& ! [X2] :
( p1(X2)
| ~ q1(X2) ) )
| ~ sP35 ),
inference(rectify,[],[f105]) ).
fof(f105,plain,
( ? [X73,X74] :
( sP3(X74,X73)
& ! [X75] :
( p1(X75)
| ~ q1(X75) ) )
| ~ sP35 ),
inference(nnf_transformation,[],[f42]) ).
fof(f560,plain,
( ~ spl111_36
| spl111_37 ),
inference(avatar_split_clause,[],[f261,f557,f553]) ).
fof(f261,plain,
( sP3(sK68,sK67)
| ~ sP35 ),
inference(cnf_transformation,[],[f108]) ).
fof(f551,plain,
( ~ spl111_33
| spl111_35 ),
inference(avatar_split_clause,[],[f258,f549,f541]) ).
fof(f258,plain,
! [X1] :
( ~ a(X1,X1)
| ~ a(X1,sK66)
| ~ sP36 ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
( ! [X1] :
( ( a(X1,sK66)
| a(X1,X1) )
& ( ~ a(X1,X1)
| ~ a(X1,sK66) ) )
| ~ sP36 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK66])],[f102,f103]) ).
fof(f103,plain,
( ? [X0] :
! [X1] :
( ( a(X1,X0)
| a(X1,X1) )
& ( ~ a(X1,X1)
| ~ a(X1,X0) ) )
=> ! [X1] :
( ( a(X1,sK66)
| a(X1,X1) )
& ( ~ a(X1,X1)
| ~ a(X1,sK66) ) ) ),
introduced(choice_axiom,[]) ).
fof(f102,plain,
( ? [X0] :
! [X1] :
( ( a(X1,X0)
| a(X1,X1) )
& ( ~ a(X1,X1)
| ~ a(X1,X0) ) )
| ~ sP36 ),
inference(rectify,[],[f101]) ).
fof(f101,plain,
( ? [X65] :
! [X66] :
( ( a(X66,X65)
| a(X66,X66) )
& ( ~ a(X66,X66)
| ~ a(X66,X65) ) )
| ~ sP36 ),
inference(nnf_transformation,[],[f43]) ).
fof(f547,plain,
( ~ spl111_33
| spl111_34 ),
inference(avatar_split_clause,[],[f259,f545,f541]) ).
fof(f259,plain,
! [X1] :
( a(X1,sK66)
| a(X1,X1)
| ~ sP36 ),
inference(cnf_transformation,[],[f104]) ).
fof(f539,plain,
( ~ spl111_29
| spl111_31
| spl111_32 ),
inference(avatar_split_clause,[],[f256,f536,f532,f524]) ).
fof(f256,plain,
( a(sK63,sK62)
| a(sK64,sK65)
| ~ sP37 ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
( ( ( ! [X0,X1] : ~ a(X1,X0)
| ! [X2,X3] : ~ a(X2,X3) )
& ( a(sK63,sK62)
| a(sK64,sK65) ) )
| ~ sP37 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK62,sK63,sK64,sK65])],[f97,f99,f98]) ).
fof(f98,plain,
( ? [X4,X5] : a(X5,X4)
=> a(sK63,sK62) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
( ? [X6,X7] : a(X6,X7)
=> a(sK64,sK65) ),
introduced(choice_axiom,[]) ).
fof(f97,plain,
( ( ( ! [X0,X1] : ~ a(X1,X0)
| ! [X2,X3] : ~ a(X2,X3) )
& ( ? [X4,X5] : a(X5,X4)
| ? [X6,X7] : a(X6,X7) ) )
| ~ sP37 ),
inference(rectify,[],[f96]) ).
fof(f96,plain,
( ( ( ! [X58,X59] : ~ a(X59,X58)
| ! [X56,X57] : ~ a(X56,X57) )
& ( ? [X58,X59] : a(X59,X58)
| ? [X56,X57] : a(X56,X57) ) )
| ~ sP37 ),
inference(nnf_transformation,[],[f44]) ).
fof(f530,plain,
( ~ spl111_29
| spl111_30
| spl111_30 ),
inference(avatar_split_clause,[],[f257,f528,f528,f524]) ).
fof(f257,plain,
! [X2,X3,X0,X1] :
( ~ a(X1,X0)
| ~ a(X2,X3)
| ~ sP37 ),
inference(cnf_transformation,[],[f100]) ).
fof(f522,plain,
( ~ spl111_26
| spl111_11 ),
inference(avatar_split_clause,[],[f254,f443,f510]) ).
fof(f254,plain,
! [X2] :
( p1(X2)
| ~ sP38 ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
( ( ( ~ p1(sK61)
| ~ p1(sK60) )
& ! [X2] : p1(X2) )
| ~ sP38 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK60,sK61])],[f93,f94]) ).
fof(f94,plain,
( ? [X0,X1] :
( ( ~ p1(X1)
| ~ p1(X0) )
& ! [X2] : p1(X2) )
=> ( ( ~ p1(sK61)
| ~ p1(sK60) )
& ! [X2] : p1(X2) ) ),
introduced(choice_axiom,[]) ).
fof(f93,plain,
( ? [X0,X1] :
( ( ~ p1(X1)
| ~ p1(X0) )
& ! [X2] : p1(X2) )
| ~ sP38 ),
inference(rectify,[],[f92]) ).
fof(f92,plain,
( ? [X53,X54] :
( ( ~ p1(X54)
| ~ p1(X53) )
& ! [X55] : p1(X55) )
| ~ sP38 ),
inference(nnf_transformation,[],[f45]) ).
fof(f521,plain,
( ~ spl111_26
| ~ spl111_27
| ~ spl111_28 ),
inference(avatar_split_clause,[],[f255,f518,f514,f510]) ).
fof(f255,plain,
( ~ p1(sK61)
| ~ p1(sK60)
| ~ sP38 ),
inference(cnf_transformation,[],[f95]) ).
fof(f508,plain,
( ~ spl111_23
| spl111_11 ),
inference(avatar_split_clause,[],[f252,f443,f496]) ).
fof(f252,plain,
! [X2] :
( p1(X2)
| ~ sP39 ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
( ( ( ~ p1(sK58)
| ~ p1(sK59) )
& ! [X2] : p1(X2) )
| ~ sP39 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK58,sK59])],[f88,f90,f89]) ).
fof(f89,plain,
( ? [X0] : ~ p1(X0)
=> ~ p1(sK58) ),
introduced(choice_axiom,[]) ).
fof(f90,plain,
( ? [X1] : ~ p1(X1)
=> ~ p1(sK59) ),
introduced(choice_axiom,[]) ).
fof(f88,plain,
( ( ( ? [X0] : ~ p1(X0)
| ? [X1] : ~ p1(X1) )
& ! [X2] : p1(X2) )
| ~ sP39 ),
inference(rectify,[],[f87]) ).
fof(f87,plain,
( ( ( ? [X51] : ~ p1(X51)
| ? [X52] : ~ p1(X52) )
& ! [X50] : p1(X50) )
| ~ sP39 ),
inference(nnf_transformation,[],[f46]) ).
fof(f507,plain,
( ~ spl111_23
| ~ spl111_24
| ~ spl111_25 ),
inference(avatar_split_clause,[],[f253,f504,f500,f496]) ).
fof(f253,plain,
( ~ p1(sK58)
| ~ p1(sK59)
| ~ sP39 ),
inference(cnf_transformation,[],[f91]) ).
fof(f494,plain,
( ~ spl111_20
| spl111_21
| spl111_22 ),
inference(avatar_split_clause,[],[f250,f491,f487,f482]) ).
fof(f250,plain,
( p1(sK56)
| p1(sK57)
| ~ sP40 ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
( ( ( ! [X0] : ~ p1(X0)
| ! [X1] : ~ p1(X1) )
& ( p1(sK56)
| p1(sK57) ) )
| ~ sP40 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK56,sK57])],[f83,f85,f84]) ).
fof(f84,plain,
( ? [X2] : p1(X2)
=> p1(sK56) ),
introduced(choice_axiom,[]) ).
fof(f85,plain,
( ? [X3] : p1(X3)
=> p1(sK57) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
( ( ( ! [X0] : ~ p1(X0)
| ! [X1] : ~ p1(X1) )
& ( ? [X2] : p1(X2)
| ? [X3] : p1(X3) ) )
| ~ sP40 ),
inference(rectify,[],[f82]) ).
fof(f82,plain,
( ( ( ! [X49] : ~ p1(X49)
| ! [X48] : ~ p1(X48) )
& ( ? [X49] : p1(X49)
| ? [X48] : p1(X48) ) )
| ~ sP40 ),
inference(nnf_transformation,[],[f47]) ).
fof(f485,plain,
( ~ spl111_20
| spl111_7
| spl111_7 ),
inference(avatar_split_clause,[],[f251,f426,f426,f482]) ).
fof(f251,plain,
! [X0,X1] :
( ~ p1(X0)
| ~ p1(X1)
| ~ sP40 ),
inference(cnf_transformation,[],[f86]) ).
fof(f480,plain,
( ~ spl111_18
| spl111_19 ),
inference(avatar_split_clause,[],[f248,f477,f472]) ).
fof(f248,plain,
( p1(sK55)
| ~ sP41 ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
( ( ! [X0] : ~ p1(X0)
& p1(sK55) )
| ~ sP41 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK55])],[f79,f80]) ).
fof(f80,plain,
( ? [X1] : p1(X1)
=> p1(sK55) ),
introduced(choice_axiom,[]) ).
fof(f79,plain,
( ( ! [X0] : ~ p1(X0)
& ? [X1] : p1(X1) )
| ~ sP41 ),
inference(rectify,[],[f78]) ).
fof(f78,plain,
( ( ! [X47] : ~ p1(X47)
& ? [X46] : p1(X46) )
| ~ sP41 ),
inference(nnf_transformation,[],[f48]) ).
fof(f475,plain,
( ~ spl111_18
| spl111_7 ),
inference(avatar_split_clause,[],[f249,f426,f472]) ).
fof(f249,plain,
! [X0] :
( ~ p1(X0)
| ~ sP41 ),
inference(cnf_transformation,[],[f81]) ).
fof(f470,plain,
( ~ spl111_15
| spl111_17 ),
inference(avatar_split_clause,[],[f246,f468,f460]) ).
fof(f246,plain,
! [X2,X0] :
( sP4(sK54(X0),X2,X0)
| p(X2,sK54(X0))
| ~ sP42 ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
( ! [X0,X2] :
( sP4(sK54(X0),X2,X0)
| ( ! [X3] : ~ p(X3,X2)
& p(X2,sK54(X0)) ) )
| ~ sP42 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK54])],[f75,f76]) ).
fof(f76,plain,
! [X0] :
( ? [X1] :
! [X2] :
( sP4(X1,X2,X0)
| ( ! [X3] : ~ p(X3,X2)
& p(X2,X1) ) )
=> ! [X2] :
( sP4(sK54(X0),X2,X0)
| ( ! [X3] : ~ p(X3,X2)
& p(X2,sK54(X0)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
( ! [X0] :
? [X1] :
! [X2] :
( sP4(X1,X2,X0)
| ( ! [X3] : ~ p(X3,X2)
& p(X2,X1) ) )
| ~ sP42 ),
inference(rectify,[],[f74]) ).
fof(f74,plain,
( ! [X42] :
? [X43] :
! [X44] :
( sP4(X43,X44,X42)
| ( ! [X45] : ~ p(X45,X44)
& p(X44,X43) ) )
| ~ sP42 ),
inference(nnf_transformation,[],[f49]) ).
fof(f466,plain,
( ~ spl111_15
| spl111_16 ),
inference(avatar_split_clause,[],[f247,f464,f460]) ).
fof(f247,plain,
! [X2,X3,X0] :
( sP4(sK54(X0),X2,X0)
| ~ p(X3,X2)
| ~ sP42 ),
inference(cnf_transformation,[],[f77]) ).
fof(f458,plain,
( ~ spl111_12
| spl111_14 ),
inference(avatar_split_clause,[],[f244,f456,f447]) ).
fof(f244,plain,
! [X2] :
( p1(X2)
| ~ q1(X2)
| ~ sP43 ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
( ( sP6(sK53,sK52)
& ! [X2] :
( p1(X2)
| ~ q1(X2) ) )
| ~ sP43 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK52,sK53])],[f71,f72]) ).
fof(f72,plain,
( ? [X0,X1] :
( sP6(X1,X0)
& ! [X2] :
( p1(X2)
| ~ q1(X2) ) )
=> ( sP6(sK53,sK52)
& ! [X2] :
( p1(X2)
| ~ q1(X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f71,plain,
( ? [X0,X1] :
( sP6(X1,X0)
& ! [X2] :
( p1(X2)
| ~ q1(X2) ) )
| ~ sP43 ),
inference(rectify,[],[f70]) ).
fof(f70,plain,
( ? [X33,X34] :
( sP6(X34,X33)
& ! [X35] :
( p1(X35)
| ~ q1(X35) ) )
| ~ sP43 ),
inference(nnf_transformation,[],[f50]) ).
fof(f454,plain,
( ~ spl111_12
| spl111_13 ),
inference(avatar_split_clause,[],[f245,f451,f447]) ).
fof(f245,plain,
( sP6(sK53,sK52)
| ~ sP43 ),
inference(cnf_transformation,[],[f73]) ).
fof(f445,plain,
( ~ spl111_9
| spl111_11 ),
inference(avatar_split_clause,[],[f242,f443,f435]) ).
fof(f242,plain,
! [X0] :
( p1(X0)
| ~ sP44 ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
( ! [X0] :
( ~ p1(sK51(X0))
& p1(X0) )
| ~ sP44 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK51])],[f67,f68]) ).
fof(f68,plain,
! [X0] :
( ? [X1] :
( ~ p1(X1)
& p1(X0) )
=> ( ~ p1(sK51(X0))
& p1(X0) ) ),
introduced(choice_axiom,[]) ).
fof(f67,plain,
( ! [X0] :
? [X1] :
( ~ p1(X1)
& p1(X0) )
| ~ sP44 ),
inference(rectify,[],[f66]) ).
fof(f66,plain,
( ! [X31] :
? [X32] :
( ~ p1(X32)
& p1(X31) )
| ~ sP44 ),
inference(nnf_transformation,[],[f51]) ).
fof(f441,plain,
( ~ spl111_9
| spl111_10 ),
inference(avatar_split_clause,[],[f243,f439,f435]) ).
fof(f243,plain,
! [X0] :
( ~ p1(sK51(X0))
| ~ sP44 ),
inference(cnf_transformation,[],[f69]) ).
fof(f433,plain,
( ~ spl111_6
| spl111_8 ),
inference(avatar_split_clause,[],[f240,f430,f422]) ).
fof(f240,plain,
( p1(sK50)
| ~ sP45 ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
( ! [X0] :
( ~ p1(X0)
& p1(sK50) )
| ~ sP45 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK50])],[f63,f64]) ).
fof(f64,plain,
( ? [X1] : p1(X1)
=> p1(sK50) ),
introduced(choice_axiom,[]) ).
fof(f63,plain,
( ! [X0] :
( ~ p1(X0)
& ? [X1] : p1(X1) )
| ~ sP45 ),
inference(rectify,[],[f62]) ).
fof(f62,plain,
( ! [X22] :
( ~ p1(X22)
& ? [X23] : p1(X23) )
| ~ sP45 ),
inference(nnf_transformation,[],[f52]) ).
fof(f428,plain,
( ~ spl111_6
| spl111_7 ),
inference(avatar_split_clause,[],[f241,f426,f422]) ).
fof(f241,plain,
! [X0] :
( ~ p1(X0)
| ~ sP45 ),
inference(cnf_transformation,[],[f65]) ).
fof(f420,plain,
( ~ spl111_3
| spl111_5 ),
inference(avatar_split_clause,[],[f238,f418,f410]) ).
fof(f238,plain,
! [X3] :
( p(sK49,X3)
| ~ sP46 ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
( ( ! [X1] : ~ p(X1,sK48)
& ! [X3] : p(sK49,X3) )
| ~ sP46 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK48,sK49])],[f58,f60,f59]) ).
fof(f59,plain,
( ? [X0] :
! [X1] : ~ p(X1,X0)
=> ! [X1] : ~ p(X1,sK48) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
( ? [X2] :
! [X3] : p(X2,X3)
=> ! [X3] : p(sK49,X3) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
( ( ? [X0] :
! [X1] : ~ p(X1,X0)
& ? [X2] :
! [X3] : p(X2,X3) )
| ~ sP46 ),
inference(rectify,[],[f57]) ).
fof(f57,plain,
( ( ? [X20] :
! [X21] : ~ p(X21,X20)
& ? [X18] :
! [X19] : p(X18,X19) )
| ~ sP46 ),
inference(nnf_transformation,[],[f53]) ).
fof(f416,plain,
( ~ spl111_3
| spl111_4 ),
inference(avatar_split_clause,[],[f239,f414,f410]) ).
fof(f239,plain,
! [X1] :
( ~ p(X1,sK48)
| ~ sP46 ),
inference(cnf_transformation,[],[f61]) ).
fof(f408,plain,
( ~ spl111_1
| spl111_2 ),
inference(avatar_split_clause,[],[f236,f404,f400]) ).
fof(f404,plain,
( spl111_2
<=> p1(z) ),
introduced(avatar_definition,[new_symbols(naming,[spl111_2])]) ).
fof(f236,plain,
( p1(z)
| ~ sP47 ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
( ( ~ p1(z)
& p1(z) )
| ~ sP47 ),
inference(nnf_transformation,[],[f54]) ).
fof(f407,plain,
( ~ spl111_1
| ~ spl111_2 ),
inference(avatar_split_clause,[],[f237,f404,f400]) ).
fof(f237,plain,
( ~ p1(z)
| ~ sP47 ),
inference(cnf_transformation,[],[f56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.09 % Problem : SYN938+1 : TPTP v8.1.2. Released v3.1.0.
% 0.06/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Fri May 3 17:23:22 EDT 2024
% 0.09/0.29 % CPUTime :
% 0.09/0.30 % (16566)Running in auto input_syntax mode. Trying TPTP
% 0.09/0.31 % (16572)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.09/0.31 % (16571)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.09/0.31 % (16570)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.09/0.31 % (16573)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.09/0.31 % (16567)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.31 % (16568)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.31 % (16574)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.31 Detected minimum model sizes of [1,1,1,1,1,1,1,1]
% 0.13/0.31 Detected maximum model sizes of [max,max,max,2,max,max,max,max]
% 0.13/0.31 TRYING [1,1,1,1,1,1,1,1]
% 0.13/0.31 TRYING [2,1,1,1,1,1,1,1]
% 0.13/0.32 TRYING [3,1,1,1,1,1,1,1]
% 0.13/0.32 TRYING [1]
% 0.13/0.32 TRYING [1]
% 0.13/0.32 TRYING [2]
% 0.13/0.32 TRYING [2]
% 0.13/0.32 TRYING [3]
% 0.13/0.32 TRYING [2,1,2,1,1,1,1,1]
% 0.13/0.32 Detected minimum model sizes of [1,1,1,1,1,1,1,1]
% 0.13/0.32 Detected maximum model sizes of [max,max,max,max,max,max,2,max]
% 0.13/0.32 TRYING [3]
% 0.13/0.32 TRYING [1,1,1,1,1,1,1,1]
% 0.13/0.33 TRYING [2,1,1,2,1,1,1,1]
% 0.13/0.33 TRYING [2,1,1,1,1,1,1,1]
% 0.13/0.33 TRYING [3,1,1,2,1,1,1,1]
% 0.13/0.33 TRYING [3,1,1,1,1,1,1,1]
% 0.13/0.33 TRYING [4]
% 0.13/0.33 % (16573)First to succeed.
% 0.13/0.33 TRYING [2,1,2,2,1,1,1,1]
% 0.13/0.33 TRYING [4]
% 0.13/0.34 TRYING [2,1,1,2,1,1,1,2]
% 0.13/0.34 TRYING [2,1,2,1,1,1,1,1]
% 0.13/0.34 TRYING [3,1,2,1,1,1,1,1]
% 0.13/0.34 TRYING [2,1,1,1,1,1,2,1]
% 0.13/0.34 % (16570)Also succeeded, but the first one will report.
% 0.13/0.34 % (16573)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-16566"
% 0.13/0.34 TRYING [3,1,1,1,1,1,2,1]
% 0.13/0.34 TRYING [3,1,1,2,1,1,1,2]
% 0.13/0.34 % (16573)Refutation found. Thanks to Tanya!
% 0.13/0.34 % SZS status Theorem for theBenchmark
% 0.13/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.35 % (16573)------------------------------
% 0.13/0.35 % (16573)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.35 % (16573)Termination reason: Refutation
% 0.13/0.35
% 0.13/0.35 % (16573)Memory used [KB]: 1580
% 0.13/0.35 % (16573)Time elapsed: 0.033 s
% 0.13/0.35 % (16573)Instructions burned: 72 (million)
% 0.13/0.35 % (16566)Success in time 0.048 s
%------------------------------------------------------------------------------