TSTP Solution File: SYN938+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYN938+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n025.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 : Wed Aug 31 19:46:09 EDT 2022
% Result : Theorem 1.84s 0.58s
% Output : Refutation 1.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 242
% Syntax : Number of formulae : 940 ( 1 unt; 0 def)
% Number of atoms : 5225 ( 0 equ)
% Maximal formula atoms : 203 ( 5 avg)
% Number of connectives : 6263 (1978 ~;2556 |;1131 &)
% ( 192 <=>; 394 =>; 0 <=; 12 <~>)
% Maximal formula depth : 56 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 217 ( 216 usr; 201 prp; 0-2 aty)
% Number of functors : 65 ( 65 usr; 57 con; 0-2 aty)
% Number of variables : 1835 (1209 !; 626 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1706,plain,
$false,
inference(avatar_sat_refutation,[],[f378,f386,f395,f404,f412,f420,f421,f426,f445,f449,f454,f462,f470,f599,f603,f612,f616,f620,f624,f628,f633,f637,f641,f654,f663,f667,f668,f672,f676,f677,f681,f686,f687,f694,f703,f708,f713,f718,f727,f731,f740,f749,f753,f759,f761,f763,f767,f776,f780,f785,f790,f794,f795,f803,f812,f820,f821,f822,f826,f827,f832,f833,f837,f838,f842,f846,f856,f861,f866,f867,f876,f880,f881,f882,f890,f899,f903,f904,f908,f918,f919,f923,f928,f937,f951,f952,f953,f954,f955,f956,f957,f962,f963,f968,f969,f973,f974,f979,f988,f992,f996,f997,f998,f1003,f1008,f1014,f1019,f1028,f1030,f1031,f1036,f1045,f1050,f1051,f1055,f1059,f1060,f1065,f1066,f1071,f1072,f1073,f1078,f1079,f1080,f1084,f1085,f1086,f1091,f1092,f1097,f1107,f1114,f1118,f1122,f1127,f1129,f1131,f1133,f1205,f1210,f1212,f1223,f1225,f1231,f1233,f1238,f1242,f1247,f1249,f1251,f1253,f1259,f1261,f1265,f1267,f1269,f1275,f1278,f1282,f1287,f1290,f1292,f1298,f1304,f1309,f1315,f1317,f1330,f1340,f1348,f1350,f1352,f1356,f1358,f1360,f1388,f1393,f1395,f1402,f1405,f1407,f1409,f1413,f1431,f1433,f1437,f1439,f1441,f1444,f1487,f1493,f1498,f1500,f1502,f1504,f1506,f1508,f1521,f1523,f1525,f1527,f1529,f1531,f1533,f1535,f1537,f1576,f1582,f1584,f1659,f1680,f1685,f1705]) ).
fof(f1705,plain,
( spl103_16
| ~ spl103_18
| ~ spl103_57
| ~ spl103_78 ),
inference(avatar_split_clause,[],[f1704,f692,f601,f443,f436]) ).
fof(f436,plain,
( spl103_16
<=> ! [X4] : r1(X4) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_16])]) ).
fof(f443,plain,
( spl103_18
<=> ! [X3] :
( ~ p1(X3)
| ~ q1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_18])]) ).
fof(f601,plain,
( spl103_57
<=> ! [X4] : q1(f(X4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_57])]) ).
fof(f692,plain,
( spl103_78
<=> ! [X3] :
( r1(X3)
| p1(f(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_78])]) ).
fof(f1704,plain,
( ! [X0] : r1(X0)
| ~ spl103_18
| ~ spl103_57
| ~ spl103_78 ),
inference(subsumption_resolution,[],[f1686,f602]) ).
fof(f602,plain,
( ! [X4] : q1(f(X4))
| ~ spl103_57 ),
inference(avatar_component_clause,[],[f601]) ).
fof(f1686,plain,
( ! [X0] :
( r1(X0)
| ~ q1(f(X0)) )
| ~ spl103_18
| ~ spl103_78 ),
inference(resolution,[],[f444,f693]) ).
fof(f693,plain,
( ! [X3] :
( p1(f(X3))
| r1(X3) )
| ~ spl103_78 ),
inference(avatar_component_clause,[],[f692]) ).
fof(f444,plain,
( ! [X3] :
( ~ p1(X3)
| ~ q1(X3) )
| ~ spl103_18 ),
inference(avatar_component_clause,[],[f443]) ).
fof(f1685,plain,
( ~ spl103_72
| ~ spl103_132
| ~ spl103_133
| ~ spl103_139
| ~ spl103_155 ),
inference(avatar_contradiction_clause,[],[f1684]) ).
fof(f1684,plain,
( $false
| ~ spl103_72
| ~ spl103_132
| ~ spl103_133
| ~ spl103_139
| ~ spl103_155 ),
inference(subsumption_resolution,[],[f1683,f1516]) ).
fof(f1516,plain,
( p1(sK86)
| ~ spl103_132
| ~ spl103_139 ),
inference(resolution,[],[f950,f991]) ).
fof(f991,plain,
( ! [X7] :
( ~ s1(X7)
| p1(X7) )
| ~ spl103_139 ),
inference(avatar_component_clause,[],[f990]) ).
fof(f990,plain,
( spl103_139
<=> ! [X7] :
( p1(X7)
| ~ s1(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_139])]) ).
fof(f950,plain,
( s1(sK86)
| ~ spl103_132 ),
inference(avatar_component_clause,[],[f948]) ).
fof(f948,plain,
( spl103_132
<=> s1(sK86) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_132])]) ).
fof(f1683,plain,
( ~ p1(sK86)
| ~ spl103_72
| ~ spl103_133
| ~ spl103_155 ),
inference(resolution,[],[f1681,f961]) ).
fof(f961,plain,
( ! [X6,X5] :
( ~ q(X5,X6)
| ~ p1(X5) )
| ~ spl103_133 ),
inference(avatar_component_clause,[],[f960]) ).
fof(f960,plain,
( spl103_133
<=> ! [X6,X5] :
( ~ p1(X5)
| ~ q(X5,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_133])]) ).
fof(f1681,plain,
( q(sK86,sK84)
| ~ spl103_72
| ~ spl103_155 ),
inference(resolution,[],[f1077,f666]) ).
fof(f666,plain,
( ! [X3,X4] :
( ~ r(X3,X4)
| q(X3,X4) )
| ~ spl103_72 ),
inference(avatar_component_clause,[],[f665]) ).
fof(f665,plain,
( spl103_72
<=> ! [X4,X3] :
( q(X3,X4)
| ~ r(X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_72])]) ).
fof(f1077,plain,
( r(sK86,sK84)
| ~ spl103_155 ),
inference(avatar_component_clause,[],[f1075]) ).
fof(f1075,plain,
( spl103_155
<=> r(sK86,sK84) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_155])]) ).
fof(f1680,plain,
( ~ spl103_72
| ~ spl103_133
| ~ spl103_134
| ~ spl103_139
| ~ spl103_154 ),
inference(avatar_contradiction_clause,[],[f1679]) ).
fof(f1679,plain,
( $false
| ~ spl103_72
| ~ spl103_133
| ~ spl103_134
| ~ spl103_139
| ~ spl103_154 ),
inference(subsumption_resolution,[],[f1678,f1510]) ).
fof(f1510,plain,
( p1(sK88)
| ~ spl103_134
| ~ spl103_139 ),
inference(resolution,[],[f967,f991]) ).
fof(f967,plain,
( s1(sK88)
| ~ spl103_134 ),
inference(avatar_component_clause,[],[f965]) ).
fof(f965,plain,
( spl103_134
<=> s1(sK88) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_134])]) ).
fof(f1678,plain,
( ~ p1(sK88)
| ~ spl103_72
| ~ spl103_133
| ~ spl103_154 ),
inference(resolution,[],[f1660,f961]) ).
fof(f1660,plain,
( q(sK88,sK87)
| ~ spl103_72
| ~ spl103_154 ),
inference(resolution,[],[f1070,f666]) ).
fof(f1070,plain,
( r(sK88,sK87)
| ~ spl103_154 ),
inference(avatar_component_clause,[],[f1068]) ).
fof(f1068,plain,
( spl103_154
<=> r(sK88,sK87) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_154])]) ).
fof(f1659,plain,
( ~ spl103_12
| ~ spl103_86
| ~ spl103_116
| spl103_158 ),
inference(avatar_contradiction_clause,[],[f1658]) ).
fof(f1658,plain,
( $false
| ~ spl103_12
| ~ spl103_86
| ~ spl103_116
| spl103_158 ),
inference(subsumption_resolution,[],[f1657,f1096]) ).
fof(f1096,plain,
( ~ q1(sK72)
| spl103_158 ),
inference(avatar_component_clause,[],[f1094]) ).
fof(f1094,plain,
( spl103_158
<=> q1(sK72) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_158])]) ).
fof(f1657,plain,
( q1(sK72)
| ~ spl103_12
| ~ spl103_86
| ~ spl103_116 ),
inference(resolution,[],[f1626,f419]) ).
fof(f419,plain,
( ! [X1] :
( ~ p1(X1)
| q1(X1) )
| ~ spl103_12 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f418,plain,
( spl103_12
<=> ! [X1] :
( q1(X1)
| ~ p1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_12])]) ).
fof(f1626,plain,
( p1(sK72)
| ~ spl103_86
| ~ spl103_116 ),
inference(resolution,[],[f730,f875]) ).
fof(f875,plain,
( r1(sK72)
| ~ spl103_116 ),
inference(avatar_component_clause,[],[f873]) ).
fof(f873,plain,
( spl103_116
<=> r1(sK72) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_116])]) ).
fof(f730,plain,
( ! [X2] :
( ~ r1(X2)
| p1(X2) )
| ~ spl103_86 ),
inference(avatar_component_clause,[],[f729]) ).
fof(f729,plain,
( spl103_86
<=> ! [X2] :
( ~ r1(X2)
| p1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_86])]) ).
fof(f1584,plain,
( spl103_61
| ~ spl103_1
| ~ spl103_108 ),
inference(avatar_split_clause,[],[f1583,f835,f372,f618]) ).
fof(f618,plain,
( spl103_61
<=> ! [X0] : p1(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_61])]) ).
fof(f372,plain,
( spl103_1
<=> ! [X2] :
( ~ q1(X2)
| p1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_1])]) ).
fof(f835,plain,
( spl103_108
<=> ! [X2] :
( q1(X2)
| p1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_108])]) ).
fof(f1583,plain,
( ! [X2] : p1(X2)
| ~ spl103_1
| ~ spl103_108 ),
inference(subsumption_resolution,[],[f373,f836]) ).
fof(f836,plain,
( ! [X2] :
( p1(X2)
| q1(X2) )
| ~ spl103_108 ),
inference(avatar_component_clause,[],[f835]) ).
fof(f373,plain,
( ! [X2] :
( ~ q1(X2)
| p1(X2) )
| ~ spl103_1 ),
inference(avatar_component_clause,[],[f372]) ).
fof(f1582,plain,
( ~ spl103_18
| ~ spl103_96
| ~ spl103_164 ),
inference(avatar_contradiction_clause,[],[f1581]) ).
fof(f1581,plain,
( $false
| ~ spl103_18
| ~ spl103_96
| ~ spl103_164 ),
inference(resolution,[],[f1549,f1126]) ).
fof(f1126,plain,
( q1(f(sK65))
| ~ spl103_164 ),
inference(avatar_component_clause,[],[f1124]) ).
fof(f1124,plain,
( spl103_164
<=> q1(f(sK65)) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_164])]) ).
fof(f1549,plain,
( ! [X0] : ~ q1(f(X0))
| ~ spl103_18
| ~ spl103_96 ),
inference(resolution,[],[f444,f779]) ).
fof(f779,plain,
( ! [X3] : p1(f(X3))
| ~ spl103_96 ),
inference(avatar_component_clause,[],[f778]) ).
fof(f778,plain,
( spl103_96
<=> ! [X3] : p1(f(X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_96])]) ).
fof(f1576,plain,
( ~ spl103_18
| ~ spl103_57
| ~ spl103_96 ),
inference(avatar_contradiction_clause,[],[f1575]) ).
fof(f1575,plain,
( $false
| ~ spl103_18
| ~ spl103_57
| ~ spl103_96 ),
inference(subsumption_resolution,[],[f1549,f602]) ).
fof(f1537,plain,
( ~ spl103_16
| spl103_89 ),
inference(avatar_contradiction_clause,[],[f1536]) ).
fof(f1536,plain,
( $false
| ~ spl103_16
| spl103_89 ),
inference(subsumption_resolution,[],[f744,f437]) ).
fof(f437,plain,
( ! [X4] : r1(X4)
| ~ spl103_16 ),
inference(avatar_component_clause,[],[f436]) ).
fof(f744,plain,
( ~ r1(sK66)
| spl103_89 ),
inference(avatar_component_clause,[],[f742]) ).
fof(f742,plain,
( spl103_89
<=> r1(sK66) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_89])]) ).
fof(f1535,plain,
( ~ spl103_16
| spl103_90 ),
inference(avatar_contradiction_clause,[],[f1534]) ).
fof(f1534,plain,
( $false
| ~ spl103_16
| spl103_90 ),
inference(subsumption_resolution,[],[f748,f437]) ).
fof(f748,plain,
( ~ r1(sK65)
| spl103_90 ),
inference(avatar_component_clause,[],[f746]) ).
fof(f746,plain,
( spl103_90
<=> r1(sK65) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_90])]) ).
fof(f1533,plain,
( ~ spl103_61
| spl103_128 ),
inference(avatar_contradiction_clause,[],[f1532]) ).
fof(f1532,plain,
( $false
| ~ spl103_61
| spl103_128 ),
inference(subsumption_resolution,[],[f932,f619]) ).
fof(f619,plain,
( ! [X0] : p1(X0)
| ~ spl103_61 ),
inference(avatar_component_clause,[],[f618]) ).
fof(f932,plain,
( ~ p1(sK75)
| spl103_128 ),
inference(avatar_component_clause,[],[f930]) ).
fof(f930,plain,
( spl103_128
<=> p1(sK75) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_128])]) ).
fof(f1531,plain,
( ~ spl103_61
| spl103_129 ),
inference(avatar_contradiction_clause,[],[f1530]) ).
fof(f1530,plain,
( $false
| ~ spl103_61
| spl103_129 ),
inference(subsumption_resolution,[],[f936,f619]) ).
fof(f936,plain,
( ~ p1(sK76)
| spl103_129 ),
inference(avatar_component_clause,[],[f934]) ).
fof(f934,plain,
( spl103_129
<=> p1(sK76) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_129])]) ).
fof(f1529,plain,
( ~ spl103_61
| spl103_84 ),
inference(avatar_contradiction_clause,[],[f1528]) ).
fof(f1528,plain,
( $false
| ~ spl103_61
| spl103_84 ),
inference(subsumption_resolution,[],[f722,f619]) ).
fof(f722,plain,
( ~ p1(sK80)
| spl103_84 ),
inference(avatar_component_clause,[],[f720]) ).
fof(f720,plain,
( spl103_84
<=> p1(sK80) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_84])]) ).
fof(f1527,plain,
( ~ spl103_61
| spl103_85 ),
inference(avatar_contradiction_clause,[],[f1526]) ).
fof(f1526,plain,
( $false
| ~ spl103_61
| spl103_85 ),
inference(subsumption_resolution,[],[f726,f619]) ).
fof(f726,plain,
( ~ p1(sK79)
| spl103_85 ),
inference(avatar_component_clause,[],[f724]) ).
fof(f724,plain,
( spl103_85
<=> p1(sK79) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_85])]) ).
fof(f1525,plain,
( ~ spl103_16
| spl103_70 ),
inference(avatar_contradiction_clause,[],[f1524]) ).
fof(f1524,plain,
( $false
| ~ spl103_16
| spl103_70 ),
inference(subsumption_resolution,[],[f658,f437]) ).
fof(f658,plain,
( ~ r1(sK69)
| spl103_70 ),
inference(avatar_component_clause,[],[f656]) ).
fof(f656,plain,
( spl103_70
<=> r1(sK69) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_70])]) ).
fof(f1523,plain,
( ~ spl103_16
| spl103_71 ),
inference(avatar_contradiction_clause,[],[f1522]) ).
fof(f1522,plain,
( $false
| ~ spl103_16
| spl103_71 ),
inference(subsumption_resolution,[],[f662,f437]) ).
fof(f662,plain,
( ~ r1(sK68)
| spl103_71 ),
inference(avatar_component_clause,[],[f660]) ).
fof(f660,plain,
( spl103_71
<=> r1(sK68) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_71])]) ).
fof(f1521,plain,
( ~ spl103_61
| ~ spl103_72
| ~ spl103_133
| ~ spl103_155 ),
inference(avatar_contradiction_clause,[],[f1520]) ).
fof(f1520,plain,
( $false
| ~ spl103_61
| ~ spl103_72
| ~ spl103_133
| ~ spl103_155 ),
inference(subsumption_resolution,[],[f1519,f619]) ).
fof(f1519,plain,
( ~ p1(sK86)
| ~ spl103_72
| ~ spl103_133
| ~ spl103_155 ),
inference(resolution,[],[f1518,f961]) ).
fof(f1518,plain,
( q(sK86,sK84)
| ~ spl103_72
| ~ spl103_155 ),
inference(resolution,[],[f1077,f666]) ).
fof(f1508,plain,
( ~ spl103_61
| ~ spl103_109 ),
inference(avatar_contradiction_clause,[],[f1507]) ).
fof(f1507,plain,
( $false
| ~ spl103_61
| ~ spl103_109 ),
inference(subsumption_resolution,[],[f841,f619]) ).
fof(f841,plain,
( ! [X2] : ~ p1(sK64(X2))
| ~ spl103_109 ),
inference(avatar_component_clause,[],[f840]) ).
fof(f840,plain,
( spl103_109
<=> ! [X2] : ~ p1(sK64(X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_109])]) ).
fof(f1506,plain,
( ~ spl103_61
| spl103_145 ),
inference(avatar_contradiction_clause,[],[f1505]) ).
fof(f1505,plain,
( $false
| ~ spl103_61
| spl103_145 ),
inference(subsumption_resolution,[],[f1023,f619]) ).
fof(f1023,plain,
( ~ p1(sK52)
| spl103_145 ),
inference(avatar_component_clause,[],[f1021]) ).
fof(f1021,plain,
( spl103_145
<=> p1(sK52) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_145])]) ).
fof(f1504,plain,
( ~ spl103_61
| spl103_87 ),
inference(avatar_contradiction_clause,[],[f1503]) ).
fof(f1503,plain,
( $false
| ~ spl103_61
| spl103_87 ),
inference(subsumption_resolution,[],[f735,f619]) ).
fof(f735,plain,
( ~ p1(sK45)
| spl103_87 ),
inference(avatar_component_clause,[],[f733]) ).
fof(f733,plain,
( spl103_87
<=> p1(sK45) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_87])]) ).
fof(f1502,plain,
( ~ spl103_61
| spl103_88 ),
inference(avatar_contradiction_clause,[],[f1501]) ).
fof(f1501,plain,
( $false
| ~ spl103_61
| spl103_88 ),
inference(subsumption_resolution,[],[f739,f619]) ).
fof(f739,plain,
( ~ p1(sK46)
| spl103_88 ),
inference(avatar_component_clause,[],[f737]) ).
fof(f737,plain,
( spl103_88
<=> p1(sK46) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_88])]) ).
fof(f1500,plain,
( ~ spl103_61
| ~ spl103_93 ),
inference(avatar_contradiction_clause,[],[f1499]) ).
fof(f1499,plain,
( $false
| ~ spl103_61
| ~ spl103_93 ),
inference(subsumption_resolution,[],[f766,f619]) ).
fof(f766,plain,
( ! [X1] : ~ p1(sK70(X1))
| ~ spl103_93 ),
inference(avatar_component_clause,[],[f765]) ).
fof(f765,plain,
( spl103_93
<=> ! [X1] : ~ p1(sK70(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_93])]) ).
fof(f1498,plain,
( ~ spl103_22
| ~ spl103_98
| ~ spl103_143
| spl103_165
| ~ spl103_166 ),
inference(avatar_contradiction_clause,[],[f1497]) ).
fof(f1497,plain,
( $false
| ~ spl103_22
| ~ spl103_98
| ~ spl103_143
| spl103_165
| ~ spl103_166 ),
inference(subsumption_resolution,[],[f1496,f1481]) ).
fof(f1481,plain,
( ~ g(sK94)
| spl103_165 ),
inference(avatar_component_clause,[],[f1480]) ).
fof(f1480,plain,
( spl103_165
<=> g(sK94) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_165])]) ).
fof(f1496,plain,
( g(sK94)
| ~ spl103_22
| ~ spl103_98
| ~ spl103_143
| ~ spl103_166 ),
inference(subsumption_resolution,[],[f1495,f789]) ).
fof(f789,plain,
( e(sK94)
| ~ spl103_98 ),
inference(avatar_component_clause,[],[f787]) ).
fof(f787,plain,
( spl103_98
<=> e(sK94) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_98])]) ).
fof(f1495,plain,
( ~ e(sK94)
| g(sK94)
| ~ spl103_22
| ~ spl103_143
| ~ spl103_166 ),
inference(resolution,[],[f1455,f1486]) ).
fof(f1486,plain,
( p1(f(sK94))
| ~ spl103_166 ),
inference(avatar_component_clause,[],[f1484]) ).
fof(f1484,plain,
( spl103_166
<=> p1(f(sK94)) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_166])]) ).
fof(f1455,plain,
( ! [X0] :
( ~ p1(f(X0))
| g(X0)
| ~ e(X0) )
| ~ spl103_22
| ~ spl103_143 ),
inference(resolution,[],[f461,f1013]) ).
fof(f1013,plain,
( ! [X1] :
( c(f(X1))
| ~ e(X1)
| g(X1) )
| ~ spl103_143 ),
inference(avatar_component_clause,[],[f1012]) ).
fof(f1012,plain,
( spl103_143
<=> ! [X1] :
( ~ e(X1)
| c(f(X1))
| g(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_143])]) ).
fof(f461,plain,
( ! [X5] :
( ~ c(X5)
| ~ p1(X5) )
| ~ spl103_22 ),
inference(avatar_component_clause,[],[f460]) ).
fof(f460,plain,
( spl103_22
<=> ! [X5] :
( ~ p1(X5)
| ~ c(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_22])]) ).
fof(f1493,plain,
( ~ spl103_97
| ~ spl103_163
| ~ spl103_165 ),
inference(avatar_contradiction_clause,[],[f1492]) ).
fof(f1492,plain,
( $false
| ~ spl103_97
| ~ spl103_163
| ~ spl103_165 ),
inference(subsumption_resolution,[],[f1491,f784]) ).
fof(f784,plain,
( p1(sK94)
| ~ spl103_97 ),
inference(avatar_component_clause,[],[f782]) ).
fof(f782,plain,
( spl103_97
<=> p1(sK94) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_97])]) ).
fof(f1491,plain,
( ~ p1(sK94)
| ~ spl103_163
| ~ spl103_165 ),
inference(resolution,[],[f1482,f1121]) ).
fof(f1121,plain,
( ! [X2] :
( ~ g(X2)
| ~ p1(X2) )
| ~ spl103_163 ),
inference(avatar_component_clause,[],[f1120]) ).
fof(f1120,plain,
( spl103_163
<=> ! [X2] :
( ~ p1(X2)
| ~ g(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_163])]) ).
fof(f1482,plain,
( g(sK94)
| ~ spl103_165 ),
inference(avatar_component_clause,[],[f1480]) ).
fof(f1487,plain,
( spl103_165
| spl103_166
| ~ spl103_98
| ~ spl103_117
| ~ spl103_152 ),
inference(avatar_split_clause,[],[f1478,f1057,f878,f787,f1484,f1480]) ).
fof(f878,plain,
( spl103_117
<=> ! [X4] :
( g(X4)
| ~ e(X4)
| s(X4,f(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_117])]) ).
fof(f1057,plain,
( spl103_152
<=> ! [X3] :
( ~ s(sK94,X3)
| p1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_152])]) ).
fof(f1478,plain,
( p1(f(sK94))
| g(sK94)
| ~ spl103_98
| ~ spl103_117
| ~ spl103_152 ),
inference(subsumption_resolution,[],[f1477,f789]) ).
fof(f1477,plain,
( ~ e(sK94)
| p1(f(sK94))
| g(sK94)
| ~ spl103_117
| ~ spl103_152 ),
inference(resolution,[],[f1058,f879]) ).
fof(f879,plain,
( ! [X4] :
( s(X4,f(X4))
| g(X4)
| ~ e(X4) )
| ~ spl103_117 ),
inference(avatar_component_clause,[],[f878]) ).
fof(f1058,plain,
( ! [X3] :
( ~ s(sK94,X3)
| p1(X3) )
| ~ spl103_152 ),
inference(avatar_component_clause,[],[f1057]) ).
fof(f1444,plain,
( ~ spl103_61
| spl103_146 ),
inference(avatar_contradiction_clause,[],[f1443]) ).
fof(f1443,plain,
( $false
| ~ spl103_61
| spl103_146 ),
inference(resolution,[],[f1027,f619]) ).
fof(f1027,plain,
( ~ p1(sK53)
| spl103_146 ),
inference(avatar_component_clause,[],[f1025]) ).
fof(f1025,plain,
( spl103_146
<=> p1(sK53) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_146])]) ).
fof(f1441,plain,
( ~ spl103_131
| spl103_160 ),
inference(avatar_contradiction_clause,[],[f1440]) ).
fof(f1440,plain,
( $false
| ~ spl103_131
| spl103_160 ),
inference(subsumption_resolution,[],[f1106,f945]) ).
fof(f945,plain,
( ! [X2] : q1(X2)
| ~ spl103_131 ),
inference(avatar_component_clause,[],[f944]) ).
fof(f944,plain,
( spl103_131
<=> ! [X2] : q1(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_131])]) ).
fof(f1106,plain,
( ~ q1(sK60)
| spl103_160 ),
inference(avatar_component_clause,[],[f1104]) ).
fof(f1104,plain,
( spl103_160
<=> q1(sK60) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_160])]) ).
fof(f1439,plain,
( spl103_131
| ~ spl103_12
| ~ spl103_61 ),
inference(avatar_split_clause,[],[f1438,f618,f418,f944]) ).
fof(f1438,plain,
( ! [X1] : q1(X1)
| ~ spl103_12
| ~ spl103_61 ),
inference(subsumption_resolution,[],[f419,f619]) ).
fof(f1437,plain,
( ~ spl103_4
| ~ spl103_103 ),
inference(avatar_contradiction_clause,[],[f1436]) ).
fof(f1436,plain,
( $false
| ~ spl103_4
| ~ spl103_103 ),
inference(subsumption_resolution,[],[f811,f385]) ).
fof(f385,plain,
( ! [X2] : ~ r1(X2)
| ~ spl103_4 ),
inference(avatar_component_clause,[],[f384]) ).
fof(f384,plain,
( spl103_4
<=> ! [X2] : ~ r1(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_4])]) ).
fof(f811,plain,
( r1(sK73)
| ~ spl103_103 ),
inference(avatar_component_clause,[],[f809]) ).
fof(f809,plain,
( spl103_103
<=> r1(sK73) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_103])]) ).
fof(f1433,plain,
( spl103_102
| ~ spl103_131 ),
inference(avatar_contradiction_clause,[],[f1432]) ).
fof(f1432,plain,
( $false
| spl103_102
| ~ spl103_131 ),
inference(subsumption_resolution,[],[f807,f945]) ).
fof(f807,plain,
( ~ q1(sK73)
| spl103_102 ),
inference(avatar_component_clause,[],[f805]) ).
fof(f805,plain,
( spl103_102
<=> q1(sK73) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_102])]) ).
fof(f1431,plain,
( spl103_113
| ~ spl103_131 ),
inference(avatar_contradiction_clause,[],[f1426]) ).
fof(f1426,plain,
( $false
| spl103_113
| ~ spl103_131 ),
inference(resolution,[],[f945,f860]) ).
fof(f860,plain,
( ~ q1(sK59)
| spl103_113 ),
inference(avatar_component_clause,[],[f858]) ).
fof(f858,plain,
( spl103_113
<=> q1(sK59) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_113])]) ).
fof(f1413,plain,
( spl103_77
| ~ spl103_18
| ~ spl103_61 ),
inference(avatar_split_clause,[],[f1412,f618,f443,f689]) ).
fof(f689,plain,
( spl103_77
<=> ! [X2] : ~ q1(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_77])]) ).
fof(f1412,plain,
( ! [X3] : ~ q1(X3)
| ~ spl103_18
| ~ spl103_61 ),
inference(subsumption_resolution,[],[f444,f619]) ).
fof(f1409,plain,
( ~ spl103_61
| ~ spl103_151 ),
inference(avatar_contradiction_clause,[],[f1408]) ).
fof(f1408,plain,
( $false
| ~ spl103_61
| ~ spl103_151 ),
inference(subsumption_resolution,[],[f1054,f619]) ).
fof(f1054,plain,
( ! [X0] : ~ p1(sK42(X0))
| ~ spl103_151 ),
inference(avatar_component_clause,[],[f1053]) ).
fof(f1053,plain,
( spl103_151
<=> ! [X0] : ~ p1(sK42(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_151])]) ).
fof(f1407,plain,
( ~ spl103_61
| spl103_120 ),
inference(avatar_contradiction_clause,[],[f1406]) ).
fof(f1406,plain,
( $false
| ~ spl103_61
| spl103_120 ),
inference(subsumption_resolution,[],[f894,f619]) ).
fof(f894,plain,
( ~ p1(sK48)
| spl103_120 ),
inference(avatar_component_clause,[],[f892]) ).
fof(f892,plain,
( spl103_120
<=> p1(sK48) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_120])]) ).
fof(f1405,plain,
( ~ spl103_61
| spl103_111 ),
inference(avatar_contradiction_clause,[],[f1404]) ).
fof(f1404,plain,
( $false
| ~ spl103_61
| spl103_111 ),
inference(subsumption_resolution,[],[f851,f619]) ).
fof(f851,plain,
( ~ p1(sK78)
| spl103_111 ),
inference(avatar_component_clause,[],[f849]) ).
fof(f849,plain,
( spl103_111
<=> p1(sK78) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_111])]) ).
fof(f1402,plain,
( ~ spl103_61
| spl103_121 ),
inference(avatar_contradiction_clause,[],[f1401]) ).
fof(f1401,plain,
( $false
| ~ spl103_61
| spl103_121 ),
inference(subsumption_resolution,[],[f898,f619]) ).
fof(f898,plain,
( ~ p1(sK49)
| spl103_121 ),
inference(avatar_component_clause,[],[f896]) ).
fof(f896,plain,
( spl103_121
<=> p1(sK49) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_121])]) ).
fof(f1395,plain,
( ~ spl103_61
| spl103_97 ),
inference(avatar_contradiction_clause,[],[f1394]) ).
fof(f1394,plain,
( $false
| ~ spl103_61
| spl103_97 ),
inference(subsumption_resolution,[],[f783,f619]) ).
fof(f783,plain,
( ~ p1(sK94)
| spl103_97 ),
inference(avatar_component_clause,[],[f782]) ).
fof(f1393,plain,
( ~ spl103_61
| spl103_112 ),
inference(avatar_contradiction_clause,[],[f1392]) ).
fof(f1392,plain,
( $false
| ~ spl103_61
| spl103_112 ),
inference(subsumption_resolution,[],[f855,f619]) ).
fof(f855,plain,
( ~ p1(sK77)
| spl103_112 ),
inference(avatar_component_clause,[],[f853]) ).
fof(f853,plain,
( spl103_112
<=> p1(sK77) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_112])]) ).
fof(f1388,plain,
( ~ spl103_75
| ~ spl103_105 ),
inference(avatar_contradiction_clause,[],[f1387]) ).
fof(f1387,plain,
( $false
| ~ spl103_75
| ~ spl103_105 ),
inference(subsumption_resolution,[],[f1378,f819]) ).
fof(f819,plain,
( ! [X2,X3] : ~ p(X2,X3)
| ~ spl103_105 ),
inference(avatar_component_clause,[],[f818]) ).
fof(f818,plain,
( spl103_105
<=> ! [X2,X3] : ~ p(X2,X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_105])]) ).
fof(f1378,plain,
( ! [X10,X9] : p(X9,X10)
| ~ spl103_75
| ~ spl103_105 ),
inference(resolution,[],[f680,f819]) ).
fof(f680,plain,
( ! [X2,X0] :
( p(X2,sK83(X0))
| p(X2,X0) )
| ~ spl103_75 ),
inference(avatar_component_clause,[],[f679]) ).
fof(f679,plain,
( spl103_75
<=> ! [X2,X0] :
( p(X2,X0)
| p(X2,sK83(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_75])]) ).
fof(f1360,plain,
( ~ spl103_77
| ~ spl103_164 ),
inference(avatar_contradiction_clause,[],[f1359]) ).
fof(f1359,plain,
( $false
| ~ spl103_77
| ~ spl103_164 ),
inference(subsumption_resolution,[],[f1126,f690]) ).
fof(f690,plain,
( ! [X2] : ~ q1(X2)
| ~ spl103_77 ),
inference(avatar_component_clause,[],[f689]) ).
fof(f1358,plain,
( ~ spl103_60
| ~ spl103_148 ),
inference(avatar_contradiction_clause,[],[f1357]) ).
fof(f1357,plain,
( $false
| ~ spl103_60
| ~ spl103_148 ),
inference(subsumption_resolution,[],[f1040,f615]) ).
fof(f615,plain,
( ! [X1] : ~ b(X1)
| ~ spl103_60 ),
inference(avatar_component_clause,[],[f614]) ).
fof(f614,plain,
( spl103_60
<=> ! [X1] : ~ b(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_60])]) ).
fof(f1040,plain,
( b(sK57)
| ~ spl103_148 ),
inference(avatar_component_clause,[],[f1038]) ).
fof(f1038,plain,
( spl103_148
<=> b(sK57) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_148])]) ).
fof(f1356,plain,
( ~ spl103_140
| spl103_149 ),
inference(avatar_contradiction_clause,[],[f1355]) ).
fof(f1355,plain,
( $false
| ~ spl103_140
| spl103_149 ),
inference(subsumption_resolution,[],[f1044,f995]) ).
fof(f995,plain,
( ! [X2] : a1(X2)
| ~ spl103_140 ),
inference(avatar_component_clause,[],[f994]) ).
fof(f994,plain,
( spl103_140
<=> ! [X2] : a1(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_140])]) ).
fof(f1044,plain,
( ~ a1(sK57)
| spl103_149 ),
inference(avatar_component_clause,[],[f1042]) ).
fof(f1042,plain,
( spl103_149
<=> a1(sK57) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_149])]) ).
fof(f1352,plain,
( ~ spl103_19
| ~ spl103_79 ),
inference(avatar_contradiction_clause,[],[f1351]) ).
fof(f1351,plain,
( $false
| ~ spl103_19
| ~ spl103_79 ),
inference(subsumption_resolution,[],[f698,f448]) ).
fof(f448,plain,
( ! [X0] : ~ p1(X0)
| ~ spl103_19 ),
inference(avatar_component_clause,[],[f447]) ).
fof(f447,plain,
( spl103_19
<=> ! [X0] : ~ p1(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_19])]) ).
fof(f698,plain,
( p1(sK41)
| ~ spl103_79 ),
inference(avatar_component_clause,[],[f696]) ).
fof(f696,plain,
( spl103_79
<=> p1(sK41) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_79])]) ).
fof(f1350,plain,
( ~ spl103_19
| ~ spl103_80 ),
inference(avatar_contradiction_clause,[],[f1349]) ).
fof(f1349,plain,
( $false
| ~ spl103_19
| ~ spl103_80 ),
inference(subsumption_resolution,[],[f702,f448]) ).
fof(f702,plain,
( p1(sK40)
| ~ spl103_80 ),
inference(avatar_component_clause,[],[f700]) ).
fof(f700,plain,
( spl103_80
<=> p1(sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_80])]) ).
fof(f1348,plain,
( ~ spl103_10
| ~ spl103_162 ),
inference(avatar_contradiction_clause,[],[f1347]) ).
fof(f1347,plain,
( $false
| ~ spl103_10
| ~ spl103_162 ),
inference(subsumption_resolution,[],[f1346,f1117]) ).
fof(f1117,plain,
( ! [X1] :
( ~ a(X1,sK47)
| ~ a(X1,X1) )
| ~ spl103_162 ),
inference(avatar_component_clause,[],[f1116]) ).
fof(f1116,plain,
( spl103_162
<=> ! [X1] :
( ~ a(X1,sK47)
| ~ a(X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_162])]) ).
fof(f1346,plain,
( a(sK47,sK47)
| ~ spl103_10 ),
inference(factoring,[],[f411]) ).
fof(f411,plain,
( ! [X1] :
( a(X1,sK47)
| a(X1,X1) )
| ~ spl103_10 ),
inference(avatar_component_clause,[],[f410]) ).
fof(f410,plain,
( spl103_10
<=> ! [X1] :
( a(X1,sK47)
| a(X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_10])]) ).
fof(f1340,plain,
( ~ spl103_74
| ~ spl103_123 ),
inference(avatar_contradiction_clause,[],[f1339]) ).
fof(f1339,plain,
( $false
| ~ spl103_74
| ~ spl103_123 ),
inference(resolution,[],[f907,f675]) ).
fof(f675,plain,
( ! [X1] : p(sK43,X1)
| ~ spl103_74 ),
inference(avatar_component_clause,[],[f674]) ).
fof(f674,plain,
( spl103_74
<=> ! [X1] : p(sK43,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_74])]) ).
fof(f907,plain,
( ! [X3] : ~ p(X3,sK44)
| ~ spl103_123 ),
inference(avatar_component_clause,[],[f906]) ).
fof(f906,plain,
( spl103_123
<=> ! [X3] : ~ p(X3,sK44) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_123])]) ).
fof(f1330,plain,
( ~ spl103_54
| ~ spl103_65 ),
inference(avatar_contradiction_clause,[],[f1328]) ).
fof(f1328,plain,
( $false
| ~ spl103_54
| ~ spl103_65 ),
inference(resolution,[],[f636,f590]) ).
fof(f590,plain,
( a(sK101,sK102)
| ~ spl103_54 ),
inference(avatar_component_clause,[],[f588]) ).
fof(f588,plain,
( spl103_54
<=> a(sK101,sK102) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_54])]) ).
fof(f636,plain,
( ! [X6,X5] : ~ a(X5,X6)
| ~ spl103_65 ),
inference(avatar_component_clause,[],[f635]) ).
fof(f635,plain,
( spl103_65
<=> ! [X6,X5] : ~ a(X5,X6) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_65])]) ).
fof(f1317,plain,
( ~ spl103_16
| spl103_137 ),
inference(avatar_contradiction_clause,[],[f1316]) ).
fof(f1316,plain,
( $false
| ~ spl103_16
| spl103_137 ),
inference(subsumption_resolution,[],[f983,f437]) ).
fof(f983,plain,
( ~ r1(sK82)
| spl103_137 ),
inference(avatar_component_clause,[],[f981]) ).
fof(f981,plain,
( spl103_137
<=> r1(sK82) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_137])]) ).
fof(f1315,plain,
( ~ spl103_16
| spl103_138 ),
inference(avatar_contradiction_clause,[],[f1314]) ).
fof(f1314,plain,
( $false
| ~ spl103_16
| spl103_138 ),
inference(resolution,[],[f987,f437]) ).
fof(f987,plain,
( ~ r1(sK81)
| spl103_138 ),
inference(avatar_component_clause,[],[f985]) ).
fof(f985,plain,
( spl103_138
<=> r1(sK81) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_138])]) ).
fof(f1309,plain,
( spl103_16
| ~ spl103_19
| ~ spl103_78 ),
inference(avatar_split_clause,[],[f1308,f692,f447,f436]) ).
fof(f1308,plain,
( ! [X3] : r1(X3)
| ~ spl103_19
| ~ spl103_78 ),
inference(subsumption_resolution,[],[f693,f448]) ).
fof(f1304,plain,
( ~ spl103_60
| ~ spl103_141 ),
inference(avatar_contradiction_clause,[],[f1303]) ).
fof(f1303,plain,
( $false
| ~ spl103_60
| ~ spl103_141 ),
inference(resolution,[],[f1002,f615]) ).
fof(f1002,plain,
( b(sK61)
| ~ spl103_141 ),
inference(avatar_component_clause,[],[f1000]) ).
fof(f1000,plain,
( spl103_141
<=> b(sK61) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_141])]) ).
fof(f1298,plain,
( ~ spl103_57
| ~ spl103_77 ),
inference(avatar_contradiction_clause,[],[f1297]) ).
fof(f1297,plain,
( $false
| ~ spl103_57
| ~ spl103_77 ),
inference(subsumption_resolution,[],[f602,f690]) ).
fof(f1292,plain,
( ~ spl103_19
| ~ spl103_96 ),
inference(avatar_contradiction_clause,[],[f1291]) ).
fof(f1291,plain,
( $false
| ~ spl103_19
| ~ spl103_96 ),
inference(subsumption_resolution,[],[f779,f448]) ).
fof(f1290,plain,
( ~ spl103_19
| ~ spl103_139
| ~ spl103_150 ),
inference(avatar_contradiction_clause,[],[f1289]) ).
fof(f1289,plain,
( $false
| ~ spl103_19
| ~ spl103_139
| ~ spl103_150 ),
inference(subsumption_resolution,[],[f1049,f1288]) ).
fof(f1288,plain,
( ! [X7] : ~ s1(X7)
| ~ spl103_19
| ~ spl103_139 ),
inference(subsumption_resolution,[],[f991,f448]) ).
fof(f1049,plain,
( s1(sK85)
| ~ spl103_150 ),
inference(avatar_component_clause,[],[f1047]) ).
fof(f1047,plain,
( spl103_150
<=> s1(sK85) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_150])]) ).
fof(f1287,plain,
( spl103_45
| ~ spl103_63 ),
inference(avatar_contradiction_clause,[],[f1285]) ).
fof(f1285,plain,
( $false
| spl103_45
| ~ spl103_63 ),
inference(resolution,[],[f627,f554]) ).
fof(f554,plain,
( ~ p(sK97,sK97)
| spl103_45 ),
inference(avatar_component_clause,[],[f552]) ).
fof(f552,plain,
( spl103_45
<=> p(sK97,sK97) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_45])]) ).
fof(f627,plain,
( ! [X0,X1] : p(X1,X0)
| ~ spl103_63 ),
inference(avatar_component_clause,[],[f626]) ).
fof(f626,plain,
( spl103_63
<=> ! [X0,X1] : p(X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_63])]) ).
fof(f1282,plain,
( ~ spl103_63
| spl103_107 ),
inference(avatar_contradiction_clause,[],[f1281]) ).
fof(f1281,plain,
( $false
| ~ spl103_63
| spl103_107 ),
inference(subsumption_resolution,[],[f831,f627]) ).
fof(f831,plain,
( ~ p(sK95,sK96)
| spl103_107 ),
inference(avatar_component_clause,[],[f829]) ).
fof(f829,plain,
( spl103_107
<=> p(sK95,sK96) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_107])]) ).
fof(f1278,plain,
( ~ spl103_19
| ~ spl103_64 ),
inference(avatar_contradiction_clause,[],[f1277]) ).
fof(f1277,plain,
( $false
| ~ spl103_19
| ~ spl103_64 ),
inference(subsumption_resolution,[],[f632,f448]) ).
fof(f632,plain,
( p1(sK93)
| ~ spl103_64 ),
inference(avatar_component_clause,[],[f630]) ).
fof(f630,plain,
( spl103_64
<=> p1(sK93) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_64])]) ).
fof(f1275,plain,
( ~ spl103_19
| ~ spl103_139
| ~ spl103_153 ),
inference(avatar_contradiction_clause,[],[f1274]) ).
fof(f1274,plain,
( $false
| ~ spl103_19
| ~ spl103_139
| ~ spl103_153 ),
inference(resolution,[],[f1270,f1064]) ).
fof(f1064,plain,
( s1(sK89)
| ~ spl103_153 ),
inference(avatar_component_clause,[],[f1062]) ).
fof(f1062,plain,
( spl103_153
<=> s1(sK89) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_153])]) ).
fof(f1270,plain,
( ! [X7] : ~ s1(X7)
| ~ spl103_19
| ~ spl103_139 ),
inference(subsumption_resolution,[],[f991,f448]) ).
fof(f1269,plain,
( ~ spl103_19
| ~ spl103_127 ),
inference(avatar_contradiction_clause,[],[f1268]) ).
fof(f1268,plain,
( $false
| ~ spl103_19
| ~ spl103_127 ),
inference(subsumption_resolution,[],[f927,f448]) ).
fof(f927,plain,
( p1(sK50)
| ~ spl103_127 ),
inference(avatar_component_clause,[],[f925]) ).
fof(f925,plain,
( spl103_127
<=> p1(sK50) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_127])]) ).
fof(f1267,plain,
( spl103_105
| ~ spl103_59
| ~ spl103_62 ),
inference(avatar_split_clause,[],[f1266,f622,f610,f818]) ).
fof(f610,plain,
( spl103_59
<=> ! [X2,X0,X3] :
( p(X2,X0)
| ~ p(X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_59])]) ).
fof(f622,plain,
( spl103_62
<=> ! [X2,X0,X3] :
( ~ p(X3,X2)
| ~ p(X2,sK83(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_62])]) ).
fof(f1266,plain,
( ! [X2,X3] : ~ p(X3,X2)
| ~ spl103_59
| ~ spl103_62 ),
inference(subsumption_resolution,[],[f623,f611]) ).
fof(f611,plain,
( ! [X2,X3,X0] :
( ~ p(X3,X2)
| p(X2,X0) )
| ~ spl103_59 ),
inference(avatar_component_clause,[],[f610]) ).
fof(f623,plain,
( ! [X2,X3,X0] :
( ~ p(X2,sK83(X0))
| ~ p(X3,X2) )
| ~ spl103_62 ),
inference(avatar_component_clause,[],[f622]) ).
fof(f1265,plain,
( spl103_94
| ~ spl103_24
| ~ spl103_110 ),
inference(avatar_split_clause,[],[f1264,f844,f468,f769]) ).
fof(f769,plain,
( spl103_94
<=> ! [X0] : ~ a1(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_94])]) ).
fof(f468,plain,
( spl103_24
<=> ! [X2] :
( ~ a1(X2)
| ~ b(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_24])]) ).
fof(f844,plain,
( spl103_110
<=> ! [X0] : b(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_110])]) ).
fof(f1264,plain,
( ! [X2] : ~ a1(X2)
| ~ spl103_24
| ~ spl103_110 ),
inference(subsumption_resolution,[],[f469,f845]) ).
fof(f845,plain,
( ! [X0] : b(X0)
| ~ spl103_110 ),
inference(avatar_component_clause,[],[f844]) ).
fof(f469,plain,
( ! [X2] :
( ~ a1(X2)
| ~ b(X2) )
| ~ spl103_24 ),
inference(avatar_component_clause,[],[f468]) ).
fof(f1261,plain,
( ~ spl103_82
| ~ spl103_94 ),
inference(avatar_contradiction_clause,[],[f1260]) ).
fof(f1260,plain,
( $false
| ~ spl103_82
| ~ spl103_94 ),
inference(subsumption_resolution,[],[f712,f770]) ).
fof(f770,plain,
( ! [X0] : ~ a1(X0)
| ~ spl103_94 ),
inference(avatar_component_clause,[],[f769]) ).
fof(f712,plain,
( a1(sK58)
| ~ spl103_82 ),
inference(avatar_component_clause,[],[f710]) ).
fof(f710,plain,
( spl103_82
<=> a1(sK58) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_82])]) ).
fof(f1259,plain,
( ~ spl103_91
| ~ spl103_104
| ~ spl103_118
| ~ spl103_126 ),
inference(avatar_contradiction_clause,[],[f1258]) ).
fof(f1258,plain,
( $false
| ~ spl103_91
| ~ spl103_104
| ~ spl103_118
| ~ spl103_126 ),
inference(subsumption_resolution,[],[f1257,f886]) ).
fof(f886,plain,
( r1(sK67)
| ~ spl103_118 ),
inference(avatar_component_clause,[],[f884]) ).
fof(f884,plain,
( spl103_118
<=> r1(sK67) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_118])]) ).
fof(f1257,plain,
( ~ r1(sK67)
| ~ spl103_91
| ~ spl103_104
| ~ spl103_126 ),
inference(resolution,[],[f1254,f816]) ).
fof(f816,plain,
( q(f(sK67),sK67)
| ~ spl103_104 ),
inference(avatar_component_clause,[],[f814]) ).
fof(f814,plain,
( spl103_104
<=> q(f(sK67),sK67) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_104])]) ).
fof(f1254,plain,
( ! [X0] :
( ~ q(f(X0),X0)
| ~ r1(X0) )
| ~ spl103_91
| ~ spl103_126 ),
inference(resolution,[],[f752,f922]) ).
fof(f922,plain,
( ! [X2,X3] :
( ~ p(X2,X3)
| ~ q(X2,X3) )
| ~ spl103_126 ),
inference(avatar_component_clause,[],[f921]) ).
fof(f921,plain,
( spl103_126
<=> ! [X2,X3] :
( ~ q(X2,X3)
| ~ p(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_126])]) ).
fof(f752,plain,
( ! [X1] :
( p(f(X1),X1)
| ~ r1(X1) )
| ~ spl103_91 ),
inference(avatar_component_clause,[],[f751]) ).
fof(f751,plain,
( spl103_91
<=> ! [X1] :
( p(f(X1),X1)
| ~ r1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_91])]) ).
fof(f1253,plain,
( ~ spl103_4
| ~ spl103_118 ),
inference(avatar_contradiction_clause,[],[f1252]) ).
fof(f1252,plain,
( $false
| ~ spl103_4
| ~ spl103_118 ),
inference(resolution,[],[f886,f385]) ).
fof(f1251,plain,
( spl103_4
| ~ spl103_91
| ~ spl103_105 ),
inference(avatar_split_clause,[],[f1250,f818,f751,f384]) ).
fof(f1250,plain,
( ! [X1] : ~ r1(X1)
| ~ spl103_91
| ~ spl103_105 ),
inference(subsumption_resolution,[],[f752,f819]) ).
fof(f1249,plain,
( ~ spl103_105
| ~ spl103_119 ),
inference(avatar_contradiction_clause,[],[f1248]) ).
fof(f1248,plain,
( $false
| ~ spl103_105
| ~ spl103_119 ),
inference(resolution,[],[f819,f889]) ).
fof(f889,plain,
( ! [X1] : p(f(X1),X1)
| ~ spl103_119 ),
inference(avatar_component_clause,[],[f888]) ).
fof(f888,plain,
( spl103_119
<=> ! [X1] : p(f(X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_119])]) ).
fof(f1247,plain,
( ~ spl103_104
| ~ spl103_119
| ~ spl103_126 ),
inference(avatar_contradiction_clause,[],[f1246]) ).
fof(f1246,plain,
( $false
| ~ spl103_104
| ~ spl103_119
| ~ spl103_126 ),
inference(resolution,[],[f1245,f816]) ).
fof(f1245,plain,
( ! [X0] : ~ q(f(X0),X0)
| ~ spl103_119
| ~ spl103_126 ),
inference(resolution,[],[f922,f889]) ).
fof(f1242,plain,
( ~ spl103_19
| ~ spl103_97 ),
inference(avatar_contradiction_clause,[],[f1241]) ).
fof(f1241,plain,
( $false
| ~ spl103_19
| ~ spl103_97 ),
inference(subsumption_resolution,[],[f784,f448]) ).
fof(f1238,plain,
( ~ spl103_94
| ~ spl103_95 ),
inference(avatar_contradiction_clause,[],[f1236]) ).
fof(f1236,plain,
( $false
| ~ spl103_94
| ~ spl103_95 ),
inference(resolution,[],[f775,f770]) ).
fof(f775,plain,
( a1(sK54)
| ~ spl103_95 ),
inference(avatar_component_clause,[],[f773]) ).
fof(f773,plain,
( spl103_95
<=> a1(sK54) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_95])]) ).
fof(f1233,plain,
( spl103_94
| ~ spl103_60
| ~ spl103_156 ),
inference(avatar_split_clause,[],[f1232,f1082,f614,f769]) ).
fof(f1082,plain,
( spl103_156
<=> ! [X1] :
( b(X1)
| ~ a1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_156])]) ).
fof(f1232,plain,
( ! [X1] : ~ a1(X1)
| ~ spl103_60
| ~ spl103_156 ),
inference(subsumption_resolution,[],[f1083,f615]) ).
fof(f1083,plain,
( ! [X1] :
( ~ a1(X1)
| b(X1) )
| ~ spl103_156 ),
inference(avatar_component_clause,[],[f1082]) ).
fof(f1231,plain,
( ~ spl103_42
| ~ spl103_65 ),
inference(avatar_contradiction_clause,[],[f1230]) ).
fof(f1230,plain,
( $false
| ~ spl103_42
| ~ spl103_65 ),
inference(subsumption_resolution,[],[f542,f636]) ).
fof(f542,plain,
( a(sK99,sK100)
| ~ spl103_42 ),
inference(avatar_component_clause,[],[f540]) ).
fof(f540,plain,
( spl103_42
<=> a(sK99,sK100) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_42])]) ).
fof(f1225,plain,
( ~ spl103_19
| ~ spl103_34 ),
inference(avatar_contradiction_clause,[],[f1224]) ).
fof(f1224,plain,
( $false
| ~ spl103_19
| ~ spl103_34 ),
inference(subsumption_resolution,[],[f510,f448]) ).
fof(f510,plain,
( p1(sK98)
| ~ spl103_34 ),
inference(avatar_component_clause,[],[f508]) ).
fof(f508,plain,
( spl103_34
<=> p1(sK98) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_34])]) ).
fof(f1223,plain,
( ~ spl103_99
| ~ spl103_106
| ~ spl103_136
| spl103_147 ),
inference(avatar_contradiction_clause,[],[f1222]) ).
fof(f1222,plain,
( $false
| ~ spl103_99
| ~ spl103_106
| ~ spl103_136
| spl103_147 ),
inference(subsumption_resolution,[],[f1221,f978]) ).
fof(f978,plain,
( a1(sK74)
| ~ spl103_136 ),
inference(avatar_component_clause,[],[f976]) ).
fof(f976,plain,
( spl103_136
<=> a1(sK74) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_136])]) ).
fof(f1221,plain,
( ~ a1(sK74)
| ~ spl103_99
| ~ spl103_106
| ~ spl103_136
| spl103_147 ),
inference(resolution,[],[f1220,f793]) ).
fof(f793,plain,
( ! [X0] :
( ~ c(X0)
| ~ a1(X0) )
| ~ spl103_99 ),
inference(avatar_component_clause,[],[f792]) ).
fof(f792,plain,
( spl103_99
<=> ! [X0] :
( ~ a1(X0)
| ~ c(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_99])]) ).
fof(f1220,plain,
( c(sK74)
| ~ spl103_106
| ~ spl103_136
| spl103_147 ),
inference(subsumption_resolution,[],[f1219,f1035]) ).
fof(f1035,plain,
( ~ b(sK74)
| spl103_147 ),
inference(avatar_component_clause,[],[f1033]) ).
fof(f1033,plain,
( spl103_147
<=> b(sK74) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_147])]) ).
fof(f1219,plain,
( b(sK74)
| c(sK74)
| ~ spl103_106
| ~ spl103_136 ),
inference(resolution,[],[f825,f978]) ).
fof(f825,plain,
( ! [X2] :
( ~ a1(X2)
| b(X2)
| c(X2) )
| ~ spl103_106 ),
inference(avatar_component_clause,[],[f824]) ).
fof(f824,plain,
( spl103_106
<=> ! [X2] :
( b(X2)
| c(X2)
| ~ a1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_106])]) ).
fof(f1212,plain,
( ~ spl103_19
| ~ spl103_61 ),
inference(avatar_contradiction_clause,[],[f1211]) ).
fof(f1211,plain,
( $false
| ~ spl103_19
| ~ spl103_61 ),
inference(subsumption_resolution,[],[f619,f448]) ).
fof(f1210,plain,
( ~ spl103_101
| ~ spl103_122 ),
inference(avatar_contradiction_clause,[],[f1209]) ).
fof(f1209,plain,
( $false
| ~ spl103_101
| ~ spl103_122 ),
inference(resolution,[],[f902,f802]) ).
fof(f802,plain,
( ! [X2] : ~ a(X2,X2)
| ~ spl103_101 ),
inference(avatar_component_clause,[],[f801]) ).
fof(f801,plain,
( spl103_101
<=> ! [X2] : ~ a(X2,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_101])]) ).
fof(f902,plain,
( ! [X0] : a(sK62(X0),sK62(X0))
| ~ spl103_122 ),
inference(avatar_component_clause,[],[f901]) ).
fof(f901,plain,
( spl103_122
<=> ! [X0] : a(sK62(X0),sK62(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_122])]) ).
fof(f1205,plain,
( ~ spl103_66
| ~ spl103_73
| ~ spl103_76
| spl103_114
| ~ spl103_135
| ~ spl103_144 ),
inference(avatar_contradiction_clause,[],[f1204]) ).
fof(f1204,plain,
( $false
| ~ spl103_66
| ~ spl103_73
| ~ spl103_76
| spl103_114
| ~ spl103_135
| ~ spl103_144 ),
inference(subsumption_resolution,[],[f1202,f865]) ).
fof(f865,plain,
( ~ eq(sK91,sK92)
| spl103_114 ),
inference(avatar_component_clause,[],[f863]) ).
fof(f863,plain,
( spl103_114
<=> eq(sK91,sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_114])]) ).
fof(f1202,plain,
( eq(sK91,sK92)
| ~ spl103_66
| ~ spl103_73
| ~ spl103_76
| ~ spl103_135
| ~ spl103_144 ),
inference(resolution,[],[f1188,f685]) ).
fof(f685,plain,
( eq(sK92,sK91)
| ~ spl103_76 ),
inference(avatar_component_clause,[],[f683]) ).
fof(f683,plain,
( spl103_76
<=> eq(sK92,sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_76])]) ).
fof(f1188,plain,
( ! [X0,X1] :
( ~ eq(X1,X0)
| eq(X0,X1) )
| ~ spl103_66
| ~ spl103_73
| ~ spl103_135
| ~ spl103_144 ),
inference(subsumption_resolution,[],[f1187,f1135]) ).
fof(f1135,plain,
( ! [X3,X4,X5] :
( a_member_of(sK90(X3,X4),X5)
| a_member_of(sK90(X3,X4),X3)
| ~ eq(X5,X4)
| eq(X4,X3) )
| ~ spl103_66
| ~ spl103_135 ),
inference(resolution,[],[f972,f640]) ).
fof(f640,plain,
( ! [X3,X0,X1] :
( ~ a_member_of(X3,X0)
| ~ eq(X1,X0)
| a_member_of(X3,X1) )
| ~ spl103_66 ),
inference(avatar_component_clause,[],[f639]) ).
fof(f639,plain,
( spl103_66
<=> ! [X0,X1,X3] :
( a_member_of(X3,X1)
| ~ a_member_of(X3,X0)
| ~ eq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_66])]) ).
fof(f972,plain,
( ! [X0,X1] :
( a_member_of(sK90(X0,X1),X1)
| a_member_of(sK90(X0,X1),X0)
| eq(X1,X0) )
| ~ spl103_135 ),
inference(avatar_component_clause,[],[f971]) ).
fof(f971,plain,
( spl103_135
<=> ! [X0,X1] :
( a_member_of(sK90(X0,X1),X1)
| a_member_of(sK90(X0,X1),X0)
| eq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_135])]) ).
fof(f1187,plain,
( ! [X0,X1] :
( ~ eq(X1,X0)
| eq(X0,X1)
| ~ a_member_of(sK90(X1,X0),X1) )
| ~ spl103_73
| ~ spl103_135
| ~ spl103_144 ),
inference(duplicate_literal_removal,[],[f1184]) ).
fof(f1184,plain,
( ! [X0,X1] :
( eq(X0,X1)
| ~ a_member_of(sK90(X1,X0),X1)
| eq(X0,X1)
| ~ eq(X1,X0) )
| ~ spl103_73
| ~ spl103_135
| ~ spl103_144 ),
inference(resolution,[],[f1172,f1018]) ).
fof(f1018,plain,
( ! [X0,X1] :
( ~ a_member_of(sK90(X0,X1),X1)
| ~ a_member_of(sK90(X0,X1),X0)
| eq(X1,X0) )
| ~ spl103_144 ),
inference(avatar_component_clause,[],[f1017]) ).
fof(f1017,plain,
( spl103_144
<=> ! [X0,X1] :
( ~ a_member_of(sK90(X0,X1),X1)
| eq(X1,X0)
| ~ a_member_of(sK90(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_144])]) ).
fof(f1172,plain,
( ! [X0,X1] :
( a_member_of(sK90(X0,X1),X1)
| eq(X1,X0)
| ~ eq(X0,X1) )
| ~ spl103_73
| ~ spl103_135 ),
inference(factoring,[],[f1136]) ).
fof(f1136,plain,
( ! [X2,X0,X1] :
( a_member_of(sK90(X0,X1),X2)
| a_member_of(sK90(X0,X1),X1)
| eq(X1,X0)
| ~ eq(X0,X2) )
| ~ spl103_73
| ~ spl103_135 ),
inference(resolution,[],[f972,f671]) ).
fof(f671,plain,
( ! [X3,X0,X1] :
( ~ a_member_of(X3,X1)
| a_member_of(X3,X0)
| ~ eq(X1,X0) )
| ~ spl103_73 ),
inference(avatar_component_clause,[],[f670]) ).
fof(f670,plain,
( spl103_73
<=> ! [X0,X1,X3] :
( a_member_of(X3,X0)
| ~ eq(X1,X0)
| ~ a_member_of(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_73])]) ).
fof(f1133,plain,
( ~ spl103_5
| ~ spl103_19 ),
inference(avatar_contradiction_clause,[],[f1132]) ).
fof(f1132,plain,
( $false
| ~ spl103_5
| ~ spl103_19 ),
inference(resolution,[],[f448,f390]) ).
fof(f390,plain,
( p1(sK56)
| ~ spl103_5 ),
inference(avatar_component_clause,[],[f388]) ).
fof(f388,plain,
( spl103_5
<=> p1(sK56) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_5])]) ).
fof(f1131,plain,
( ~ spl103_7
| ~ spl103_19 ),
inference(avatar_contradiction_clause,[],[f1130]) ).
fof(f1130,plain,
( $false
| ~ spl103_7
| ~ spl103_19 ),
inference(subsumption_resolution,[],[f399,f448]) ).
fof(f399,plain,
( p1(sK51)
| ~ spl103_7 ),
inference(avatar_component_clause,[],[f397]) ).
fof(f397,plain,
( spl103_7
<=> p1(sK51) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_7])]) ).
fof(f1129,plain,
( ~ spl103_16
| spl103_142 ),
inference(avatar_contradiction_clause,[],[f1128]) ).
fof(f1128,plain,
( $false
| ~ spl103_16
| spl103_142 ),
inference(resolution,[],[f1007,f437]) ).
fof(f1007,plain,
( ~ r1(sK55)
| spl103_142 ),
inference(avatar_component_clause,[],[f1005]) ).
fof(f1005,plain,
( spl103_142
<=> r1(sK55) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_142])]) ).
fof(f1127,plain,
( ~ spl103_48
| spl103_164 ),
inference(avatar_split_clause,[],[f261,f1124,f564]) ).
fof(f564,plain,
( spl103_48
<=> sP19 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_48])]) ).
fof(f261,plain,
( q1(f(sK65))
| ~ sP19 ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
( ( ! [X2,X3] :
( ( p1(f(X3))
& ( ( ( ~ r1(sK65)
| ~ r1(sK66) )
& r1(X3) )
| ~ p1(X2) ) )
| ~ q1(X2) )
& q1(f(sK65)) )
| ~ sP19 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK65,sK66])],[f127,f128]) ).
fof(f128,plain,
( ? [X0,X1] :
( ! [X2,X3] :
( ( p1(f(X3))
& ( ( ( ~ r1(X0)
| ~ r1(X1) )
& r1(X3) )
| ~ p1(X2) ) )
| ~ q1(X2) )
& q1(f(X0)) )
=> ( ! [X3,X2] :
( ( p1(f(X3))
& ( ( ( ~ r1(sK65)
| ~ r1(sK66) )
& r1(X3) )
| ~ p1(X2) ) )
| ~ q1(X2) )
& q1(f(sK65)) ) ),
introduced(choice_axiom,[]) ).
fof(f127,plain,
( ? [X0,X1] :
( ! [X2,X3] :
( ( p1(f(X3))
& ( ( ( ~ r1(X0)
| ~ r1(X1) )
& r1(X3) )
| ~ p1(X2) ) )
| ~ q1(X2) )
& q1(f(X0)) )
| ~ sP19 ),
inference(rectify,[],[f126]) ).
fof(f126,plain,
( ? [X8,X7] :
( ! [X9,X10] :
( ( p1(f(X10))
& ( ( ( ~ r1(X8)
| ~ r1(X7) )
& r1(X10) )
| ~ p1(X9) ) )
| ~ q1(X9) )
& q1(f(X8)) )
| ~ sP19 ),
inference(nnf_transformation,[],[f26]) ).
fof(f26,plain,
( ? [X8,X7] :
( ! [X9,X10] :
( ( p1(f(X10))
& ( ( ( ~ r1(X8)
| ~ r1(X7) )
& r1(X10) )
| ~ p1(X9) ) )
| ~ q1(X9) )
& q1(f(X8)) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f1122,plain,
( spl103_163
| ~ spl103_21 ),
inference(avatar_split_clause,[],[f352,f456,f1120]) ).
fof(f456,plain,
( spl103_21
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_21])]) ).
fof(f352,plain,
! [X2] :
( ~ sP1
| ~ p1(X2)
| ~ g(X2) ),
inference(cnf_transformation,[],[f199]) ).
fof(f199,plain,
( ! [X1,X2,X3,X4,X5] :
( p1(sK94)
& ( ~ p1(X2)
| ~ g(X2) )
& ( ~ c(X5)
| ~ p1(X5) )
& ( ~ s(sK94,X3)
| p1(X3) )
& ( g(X1)
| c(f(X1))
| ~ e(X1) )
& e(sK94)
& ( s(X4,f(X4))
| g(X4)
| ~ e(X4) ) )
| ~ sP1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK94])],[f197,f198]) ).
fof(f198,plain,
( ? [X0] :
! [X1,X2,X3,X4,X5] :
( p1(X0)
& ( ~ p1(X2)
| ~ g(X2) )
& ( ~ c(X5)
| ~ p1(X5) )
& ( ~ s(X0,X3)
| p1(X3) )
& ( g(X1)
| c(f(X1))
| ~ e(X1) )
& e(X0)
& ( s(X4,f(X4))
| g(X4)
| ~ e(X4) ) )
=> ! [X5,X4,X3,X2,X1] :
( p1(sK94)
& ( ~ p1(X2)
| ~ g(X2) )
& ( ~ c(X5)
| ~ p1(X5) )
& ( ~ s(sK94,X3)
| p1(X3) )
& ( g(X1)
| c(f(X1))
| ~ e(X1) )
& e(sK94)
& ( s(X4,f(X4))
| g(X4)
| ~ e(X4) ) ) ),
introduced(choice_axiom,[]) ).
fof(f197,plain,
( ? [X0] :
! [X1,X2,X3,X4,X5] :
( p1(X0)
& ( ~ p1(X2)
| ~ g(X2) )
& ( ~ c(X5)
| ~ p1(X5) )
& ( ~ s(X0,X3)
| p1(X3) )
& ( g(X1)
| c(f(X1))
| ~ e(X1) )
& e(X0)
& ( s(X4,f(X4))
| g(X4)
| ~ e(X4) ) )
| ~ sP1 ),
inference(rectify,[],[f196]) ).
fof(f196,plain,
( ? [X111] :
! [X112,X115,X114,X116,X113] :
( p1(X111)
& ( ~ p1(X115)
| ~ g(X115) )
& ( ~ c(X113)
| ~ p1(X113) )
& ( ~ s(X111,X114)
| p1(X114) )
& ( g(X112)
| c(f(X112))
| ~ e(X112) )
& e(X111)
& ( s(X116,f(X116))
| g(X116)
| ~ e(X116) ) )
| ~ sP1 ),
inference(nnf_transformation,[],[f8]) ).
fof(f8,plain,
( ? [X111] :
! [X112,X115,X114,X116,X113] :
( p1(X111)
& ( ~ p1(X115)
| ~ g(X115) )
& ( ~ c(X113)
| ~ p1(X113) )
& ( ~ s(X111,X114)
| p1(X114) )
& ( g(X112)
| c(f(X112))
| ~ e(X112) )
& e(X111)
& ( s(X116,f(X116))
| g(X116)
| ~ e(X116) ) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f1118,plain,
( ~ spl103_9
| spl103_162 ),
inference(avatar_split_clause,[],[f221,f1116,f406]) ).
fof(f406,plain,
( spl103_9
<=> sP34 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_9])]) ).
fof(f221,plain,
! [X1] :
( ~ a(X1,sK47)
| ~ sP34
| ~ a(X1,X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
( ! [X1] :
( ( a(X1,sK47)
| a(X1,X1) )
& ( ~ a(X1,X1)
| ~ a(X1,sK47) ) )
| ~ sP34 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK47])],[f68,f69]) ).
fof(f69,plain,
( ? [X0] :
! [X1] :
( ( a(X1,X0)
| a(X1,X1) )
& ( ~ a(X1,X1)
| ~ a(X1,X0) ) )
=> ! [X1] :
( ( a(X1,sK47)
| a(X1,X1) )
& ( ~ a(X1,X1)
| ~ a(X1,sK47) ) ) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
( ? [X0] :
! [X1] :
( ( a(X1,X0)
| a(X1,X1) )
& ( ~ a(X1,X1)
| ~ a(X1,X0) ) )
| ~ sP34 ),
inference(rectify,[],[f67]) ).
fof(f67,plain,
( ? [X27] :
! [X28] :
( ( a(X28,X27)
| a(X28,X28) )
& ( ~ a(X28,X28)
| ~ a(X28,X27) ) )
| ~ sP34 ),
inference(nnf_transformation,[],[f41]) ).
fof(f41,plain,
( ? [X27] :
! [X28] :
( a(X28,X27)
<=> ~ a(X28,X28) )
| ~ sP34 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f1114,plain,
( spl103_60
| ~ spl103_40 ),
inference(avatar_split_clause,[],[f233,f532,f614]) ).
fof(f532,plain,
( spl103_40
<=> sP28 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_40])]) ).
fof(f233,plain,
! [X2] :
( ~ sP28
| ~ b(X2) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
( ( a1(sK54)
& ! [X1] :
( ~ a1(X1)
| b(X1) )
& ! [X2] : ~ b(X2) )
| ~ sP28 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK54])],[f90,f91]) ).
fof(f91,plain,
( ? [X0] : a1(X0)
=> a1(sK54) ),
introduced(choice_axiom,[]) ).
fof(f90,plain,
( ( ? [X0] : a1(X0)
& ! [X1] :
( ~ a1(X1)
| b(X1) )
& ! [X2] : ~ b(X2) )
| ~ sP28 ),
inference(rectify,[],[f89]) ).
fof(f89,plain,
( ( ? [X58] : a1(X58)
& ! [X57] :
( ~ a1(X57)
| b(X57) )
& ! [X59] : ~ b(X59) )
| ~ sP28 ),
inference(nnf_transformation,[],[f35]) ).
fof(f35,plain,
( ( ? [X58] : a1(X58)
& ! [X57] :
( ~ a1(X57)
| b(X57) )
& ! [X59] : ~ b(X59) )
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f1107,plain,
( ~ spl103_20
| ~ spl103_160 ),
inference(avatar_split_clause,[],[f249,f1104,f451]) ).
fof(f451,plain,
( spl103_20
<=> sP23 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_20])]) ).
fof(f249,plain,
( ~ q1(sK60)
| ~ sP23 ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
( ( ! [X0] :
( q1(X0)
| ~ p1(X0) )
& ~ q1(sK60)
& ! [X2] : p1(X2) )
| ~ sP23 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK60])],[f110,f111]) ).
fof(f111,plain,
( ? [X1] : ~ q1(X1)
=> ~ q1(sK60) ),
introduced(choice_axiom,[]) ).
fof(f110,plain,
( ( ! [X0] :
( q1(X0)
| ~ p1(X0) )
& ? [X1] : ~ q1(X1)
& ! [X2] : p1(X2) )
| ~ sP23 ),
inference(rectify,[],[f109]) ).
fof(f109,plain,
( ( ! [X44] :
( q1(X44)
| ~ p1(X44) )
& ? [X46] : ~ q1(X46)
& ! [X45] : p1(X45) )
| ~ sP23 ),
inference(nnf_transformation,[],[f30]) ).
fof(f30,plain,
( ( ! [X44] :
( q1(X44)
| ~ p1(X44) )
& ? [X46] : ~ q1(X46)
& ! [X45] : p1(X45) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f1097,plain,
( ~ spl103_158
| ~ spl103_11 ),
inference(avatar_split_clause,[],[f285,f414,f1094]) ).
fof(f414,plain,
( spl103_11
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_11])]) ).
fof(f285,plain,
( ~ sP13
| ~ q1(sK72) ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
( ( ! [X1] :
( ~ p1(X1)
| q1(X1) )
& ! [X2] :
( p1(X2)
| ~ r1(X2) )
& r1(sK72)
& ~ q1(sK72) )
| ~ sP13 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK72])],[f148,f149]) ).
fof(f149,plain,
( ? [X0] :
( ! [X1] :
( ~ p1(X1)
| q1(X1) )
& ! [X2] :
( p1(X2)
| ~ r1(X2) )
& r1(X0)
& ~ q1(X0) )
=> ( ! [X1] :
( ~ p1(X1)
| q1(X1) )
& ! [X2] :
( p1(X2)
| ~ r1(X2) )
& r1(sK72)
& ~ q1(sK72) ) ),
introduced(choice_axiom,[]) ).
fof(f148,plain,
( ? [X0] :
( ! [X1] :
( ~ p1(X1)
| q1(X1) )
& ! [X2] :
( p1(X2)
| ~ r1(X2) )
& r1(X0)
& ~ q1(X0) )
| ~ sP13 ),
inference(rectify,[],[f147]) ).
fof(f147,plain,
( ? [X54] :
( ! [X55] :
( ~ p1(X55)
| q1(X55) )
& ! [X56] :
( p1(X56)
| ~ r1(X56) )
& r1(X54)
& ~ q1(X54) )
| ~ sP13 ),
inference(nnf_transformation,[],[f20]) ).
fof(f20,plain,
( ? [X54] :
( ! [X55] :
( ~ p1(X55)
| q1(X55) )
& ! [X56] :
( p1(X56)
| ~ r1(X56) )
& r1(X54)
& ~ q1(X54) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f1092,plain,
( spl103_51
| spl103_55
| spl103_36
| spl103_32
| spl103_56
| spl103_28
| spl103_49
| spl103_19
| spl103_29
| spl103_3
| spl103_8
| spl103_30
| spl103_20
| spl103_9
| spl103_35
| spl103_63
| spl103_21
| spl103_52
| spl103_14
| spl103_2
| spl103_50
| spl103_43
| spl103_11
| spl103_27
| spl103_33
| spl103_25
| spl103_41
| spl103_39
| spl103_46
| spl103_17
| spl103_13
| spl103_23
| spl103_47
| spl103_31
| spl103_53
| spl103_48
| spl103_65
| spl103_37
| spl103_26
| spl103_65
| spl103_44
| spl103_6
| spl103_40
| spl103_38 ),
inference(avatar_split_clause,[],[f370,f524,f532,f392,f548,f635,f476,f520,f635,f564,f584,f496,f560,f464,f423,f439,f556,f528,f536,f472,f504,f480,f414,f544,f572,f375,f428,f580,f456,f626,f512,f406,f451,f492,f401,f380,f488,f447,f568,f484,f596,f500,f516,f592,f576]) ).
fof(f576,plain,
( spl103_51
<=> sP11 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_51])]) ).
fof(f592,plain,
( spl103_55
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_55])]) ).
fof(f516,plain,
( spl103_36
<=> sP24 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_36])]) ).
fof(f500,plain,
( spl103_32
<=> sP21 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_32])]) ).
fof(f596,plain,
( spl103_56
<=> sP37 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_56])]) ).
fof(f484,plain,
( spl103_28
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_28])]) ).
fof(f568,plain,
( spl103_49
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_49])]) ).
fof(f488,plain,
( spl103_29
<=> sP22 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_29])]) ).
fof(f380,plain,
( spl103_3
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_3])]) ).
fof(f401,plain,
( spl103_8
<=> sP31 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_8])]) ).
fof(f492,plain,
( spl103_30
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_30])]) ).
fof(f512,plain,
( spl103_35
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_35])]) ).
fof(f580,plain,
( spl103_52
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_52])]) ).
fof(f428,plain,
( spl103_14
<=> sP20 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_14])]) ).
fof(f375,plain,
( spl103_2
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_2])]) ).
fof(f572,plain,
( spl103_50
<=> sP35 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_50])]) ).
fof(f544,plain,
( spl103_43
<=> sP18 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_43])]) ).
fof(f480,plain,
( spl103_27
<=> sP38 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_27])]) ).
fof(f504,plain,
( spl103_33
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_33])]) ).
fof(f472,plain,
( spl103_25
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_25])]) ).
fof(f536,plain,
( spl103_41
<=> sP39 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_41])]) ).
fof(f528,plain,
( spl103_39
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_39])]) ).
fof(f556,plain,
( spl103_46
<=> sP32 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_46])]) ).
fof(f439,plain,
( spl103_17
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_17])]) ).
fof(f423,plain,
( spl103_13
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_13])]) ).
fof(f464,plain,
( spl103_23
<=> sP25 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_23])]) ).
fof(f560,plain,
( spl103_47
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_47])]) ).
fof(f496,plain,
( spl103_31
<=> sP33 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_31])]) ).
fof(f584,plain,
( spl103_53
<=> sP26 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_53])]) ).
fof(f520,plain,
( spl103_37
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_37])]) ).
fof(f476,plain,
( spl103_26
<=> sP29 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_26])]) ).
fof(f548,plain,
( spl103_44
<=> sP36 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_44])]) ).
fof(f392,plain,
( spl103_6
<=> sP27 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_6])]) ).
fof(f524,plain,
( spl103_38
<=> sP30 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_38])]) ).
fof(f370,plain,
! [X3,X0,X1,X8,X6,X7,X5] :
( sP30
| sP28
| sP27
| sP36
| ~ a(X5,X6)
| sP29
| sP2
| ~ a(X7,X8)
| sP19
| sP26
| sP33
| sP15
| sP25
| sP9
| sP16
| sP32
| sP10
| sP39
| sP7
| sP3
| sP38
| sP13
| sP18
| sP35
| sP8
| sP20
| sP17
| sP1
| p(X1,X0)
| sP0
| sP34
| sP23
| sP6
| sP31
| sP12
| sP22
| ~ p1(X3)
| sP14
| sP4
| sP37
| sP21
| sP24
| sP5
| sP11 ),
inference(cnf_transformation,[],[f210]) ).
fof(f210,plain,
( sP20
| sP19
| sP18
| sP28
| ( ! [X0,X1] : p(X1,X0)
& ~ p(sK97,sK97) )
| sP27
| sP26
| sP10
| ( ! [X3] : ~ p1(X3)
& p1(sK98) )
| sP6
| ( ( ! [X5,X6] : ~ a(X5,X6)
| ! [X7,X8] : ~ a(X7,X8) )
& ( a(sK99,sK100)
| a(sK101,sK102) ) )
| sP39
| sP38
| sP37
| sP9
| sP17
| sP16
| sP8
| sP36
| sP5
| sP25
| sP35
| sP15
| sP7
| sP1
| sP34
| sP14
| sP4
| sP33
| sP32
| sP3
| sP2
| sP0
| sP13
| sP12
| sP31
| sP11
| sP24
| sP23
| sP30
| sP29
| sP22
| sP21 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK97,sK98,sK99,sK100,sK101,sK102])],[f205,f209,f208,f207,f206]) ).
fof(f206,plain,
( ? [X2] : ~ p(X2,X2)
=> ~ p(sK97,sK97) ),
introduced(choice_axiom,[]) ).
fof(f207,plain,
( ? [X4] : p1(X4)
=> p1(sK98) ),
introduced(choice_axiom,[]) ).
fof(f208,plain,
( ? [X9,X10] : a(X9,X10)
=> a(sK99,sK100) ),
introduced(choice_axiom,[]) ).
fof(f209,plain,
( ? [X11,X12] : a(X11,X12)
=> a(sK101,sK102) ),
introduced(choice_axiom,[]) ).
fof(f205,plain,
( sP20
| sP19
| sP18
| sP28
| ( ! [X0,X1] : p(X1,X0)
& ? [X2] : ~ p(X2,X2) )
| sP27
| sP26
| sP10
| ( ! [X3] : ~ p1(X3)
& ? [X4] : p1(X4) )
| sP6
| ( ( ! [X5,X6] : ~ a(X5,X6)
| ! [X7,X8] : ~ a(X7,X8) )
& ( ? [X9,X10] : a(X9,X10)
| ? [X11,X12] : a(X11,X12) ) )
| sP39
| sP38
| sP37
| sP9
| sP17
| sP16
| sP8
| sP36
| sP5
| sP25
| sP35
| sP15
| sP7
| sP1
| sP34
| sP14
| sP4
| sP33
| sP32
| sP3
| sP2
| sP0
| sP13
| sP12
| sP31
| sP11
| sP24
| sP23
| sP30
| sP29
| sP22
| sP21 ),
inference(rectify,[],[f204]) ).
fof(f204,plain,
( sP20
| sP19
| sP18
| sP28
| ( ! [X15,X16] : p(X16,X15)
& ? [X17] : ~ p(X17,X17) )
| sP27
| sP26
| sP10
| ( ! [X73] : ~ p1(X73)
& ? [X72] : p1(X72) )
| sP6
| ( ( ! [X62,X63] : ~ a(X62,X63)
| ! [X60,X61] : ~ a(X60,X61) )
& ( ? [X62,X63] : a(X62,X63)
| ? [X60,X61] : a(X60,X61) ) )
| sP39
| sP38
| sP37
| sP9
| sP17
| sP16
| sP8
| sP36
| sP5
| sP25
| sP35
| sP15
| sP7
| sP1
| sP34
| sP14
| sP4
| sP33
| sP32
| sP3
| sP2
| sP0
| sP13
| sP12
| sP31
| sP11
| sP24
| sP23
| sP30
| sP29
| sP22
| sP21 ),
inference(nnf_transformation,[],[f47]) ).
fof(f47,plain,
( sP20
| sP19
| sP18
| sP28
| ( ! [X15,X16] : p(X16,X15)
& ? [X17] : ~ p(X17,X17) )
| sP27
| sP26
| sP10
| ( ! [X73] : ~ p1(X73)
& ? [X72] : p1(X72) )
| sP6
| ( ? [X60,X61] : a(X60,X61)
<~> ? [X62,X63] : a(X62,X63) )
| sP39
| sP38
| sP37
| sP9
| sP17
| sP16
| sP8
| sP36
| sP5
| sP25
| sP35
| sP15
| sP7
| sP1
| sP34
| sP14
| sP4
| sP33
| sP32
| sP3
| sP2
| sP0
| sP13
| sP12
| sP31
| sP11
| sP24
| sP23
| sP30
| sP29
| sP22
| sP21 ),
inference(definition_folding,[],[f6,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,
( ? [X86,X85] :
! [X88,X87] :
( r1(X85)
& ( p(X88,X87)
| ~ s1(X86) )
& ( ~ q1(X88)
| p(X88,X86) )
& ( ~ r1(X87)
| p(X85,X87) )
& q1(X86)
& r1(X86)
& ~ p(X86,X85)
& s1(X86)
& q1(X85) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f9,plain,
( ( ( ( ( ( b0
& ~ b0 )
| ( q0
& ~ q0 ) )
& a0 )
| ! [X110] : ~ p1(X110) )
& ? [X109] : p1(X109) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f10,plain,
( ( ! [X48,X47] :
( eq(X47,X48)
<=> ! [X49] :
( a_member_of(X49,X48)
<=> a_member_of(X49,X47) ) )
& ? [X50,X51] :
( eq(X51,X50)
& ~ eq(X50,X51) ) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f11,plain,
( ? [X129,X128,X127] :
( s1(X127)
& s1(X128)
& ! [X131,X130] :
( q(X131,X130)
| ~ r(X131,X130) )
& r(X128,X129)
& ! [X133,X134] :
( ~ p1(X133)
| ~ q(X133,X134) )
& ! [X132] :
( ~ s1(X132)
| p1(X132) ) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f12,plain,
( ? [X35,X34,X33] :
( r(X33,X35)
& ! [X38] :
( ~ s1(X38)
| p1(X38) )
& s1(X33)
& ! [X36,X37] :
( ~ r(X36,X37)
| q(X36,X37) )
& ! [X40,X39] :
( ~ p1(X40)
| ~ q(X40,X39) )
& s1(X34) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f13,plain,
( ! [X64] :
? [X65] :
! [X66] :
( ( p(X66,X65)
& ! [X67] : ~ p(X67,X66) )
| ( ~ p(X66,X65)
& p(X66,X64)
& p(X64,X66) ) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f14,plain,
( ? [X122,X123] :
( ! [X126,X125] :
( ( ~ p1(X126)
& p1(f(X125)) )
| ~ q1(X126)
| ( ( ~ r1(X123)
| ~ r1(X122) )
& r1(X125) ) )
& ! [X124] : q1(f(X124)) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f15,plain,
( ? [X105,X106] :
( ! [X107] :
( ~ q1(X107)
| p1(X107) )
& ! [X108] :
( ( q1(X108)
& ~ p1(X106) )
| ( ~ p1(X105)
& p1(X108) ) ) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f16,plain,
( ? [X80,X79] :
( ! [X82] :
( ( p1(X82)
& ~ p1(X79) )
| ( q1(X82)
& ~ p1(X80) ) )
& ! [X81] :
( ~ q1(X81)
| p1(X81) ) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f17,plain,
( ? [X136,X135] :
( ! [X138] :
( ( ~ p1(X136)
& p1(X138) )
| ( ~ p1(X135)
& q1(X138) ) )
& ! [X137] :
( p1(X137)
| ~ q1(X137) ) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f18,plain,
( ( ! [X43] :
( ~ a1(X43)
| ~ c(X43) )
& ? [X41] :
( ~ b(X41)
& a1(X41) )
& ! [X42] :
( ~ a1(X42)
| b(X42)
| c(X42) ) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f19,plain,
( ( ! [X92] :
( ~ p1(X92)
| q1(X92) )
& ? [X93] :
( ~ q1(X93)
| r1(X93) )
& ! [X94] :
( ~ r1(X94)
& p1(X94) ) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f21,plain,
( ( ! [X99] : p1(X99)
& ! [X101] :
? [X102] :
( ~ p1(X102)
& ~ r1(X101) )
& ? [X100] : q1(X100) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f22,plain,
( ( ( a0
<~> b0 )
& a0
& b0 )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f23,plain,
( ? [X118,X117] :
( ! [X119] : q1(f(X119))
& ! [X121,X120] :
( ( ( ~ p1(X121)
| ( r1(X120)
& ( ~ r1(X117)
| ~ r1(X118) ) ) )
& p1(f(X120)) )
| ~ q1(X121) ) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f24,plain,
( ? [X11] :
( ! [X12] :
( ( ~ r1(X12)
& r1(X11) )
| p(f(X12),X12) )
& ! [X14,X13] :
( ~ p(X14,X13)
| ( q(f(X11),X11)
& ~ q(X14,X13) ) ) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f25,plain,
( ( ~ b0
& ( a0
<~> b0 )
& ~ a0 )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f27,plain,
( ( ! [X29] :
? [X30] :
( q1(X30)
& p1(X29) )
& ! [X31] :
? [X32] :
( ~ r1(X31)
& ~ p1(X32) ) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f28,plain,
( ( ! [X18] :
? [X19] :
( a(X19,X19)
& a(X18,X19) )
& ! [X20] : ~ a(X20,X20) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f29,plain,
( ( ! [X104] :
( ~ b(X104)
& ~ a1(X104) )
& ? [X103] : b(X103) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f31,plain,
( ? [X52] :
( ~ q1(X52)
& ! [X53] :
( p1(X53)
& q1(X53) ) )
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f32,plain,
( ( ! [X22] : b(X22)
& ? [X21] : a1(X21)
& ! [X23] :
( ~ b(X23)
| ~ a1(X23) ) )
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f33,plain,
( ( ? [X24] :
( b(X24)
| ~ a1(X24) )
& ! [X26] : ~ b(X26)
& ! [X25] : a1(X25) )
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f34,plain,
( ? [X69,X68] :
! [X70,X71] :
( p1(X68)
& ~ r1(X69)
& ( r1(X71)
| ~ p1(X70) ) )
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f36,plain,
( ? [X74,X75] :
( ! [X76] : p1(X76)
& ( ~ p1(X74)
| ~ p1(X75) ) )
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f37,plain,
( ( ! [X139] : p1(X139)
& ! [X140] : ~ p1(X140) )
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f38,plain,
( ! [X83] :
( ? [X84] : p1(X84)
& ~ p1(X83) )
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f39,plain,
( ( ? [X77] : p1(X77)
& ! [X78] : ~ p1(X78) )
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f40,plain,
( ( ? [X4,X3] :
( ~ p1(X3)
| ~ p1(X4) )
& ! [X2] : p1(X2) )
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f42,plain,
( ( p1(z)
& ~ p1(z) )
| ~ sP35 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f43,plain,
( ( ! [X89] : p1(X89)
& ( ? [X90] : ~ p1(X90)
| ? [X91] : ~ p1(X91) ) )
| ~ sP36 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f44,plain,
( ( ? [X95] :
! [X96] : p(X95,X96)
& ? [X97] :
! [X98] : ~ p(X98,X97) )
| ~ sP37 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f45,plain,
( ! [X0] :
? [X1] :
( p1(X0)
& ~ p1(X1) )
| ~ sP38 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f46,plain,
( ( ? [X6] : p1(X6)
<~> ? [X5] : p1(X5) )
| ~ sP39 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f6,plain,
( ( ! [X29] :
? [X30] :
( q1(X30)
& p1(X29) )
& ! [X31] :
? [X32] :
( ~ r1(X31)
& ~ p1(X32) ) )
| ? [X8,X7] :
( ! [X9,X10] :
( ( p1(f(X10))
& ( ( ( ~ r1(X8)
| ~ r1(X7) )
& r1(X10) )
| ~ p1(X9) ) )
| ~ q1(X9) )
& q1(f(X8)) )
| ( ~ b0
& ( a0
<~> b0 )
& ~ a0 )
| ( ? [X58] : a1(X58)
& ! [X57] :
( ~ a1(X57)
| b(X57) )
& ! [X59] : ~ b(X59) )
| ( ! [X15,X16] : p(X16,X15)
& ? [X17] : ~ p(X17,X17) )
| ? [X69,X68] :
! [X70,X71] :
( p1(X68)
& ~ r1(X69)
& ( r1(X71)
| ~ p1(X70) ) )
| ( ? [X24] :
( b(X24)
| ~ a1(X24) )
& ! [X26] : ~ b(X26)
& ! [X25] : a1(X25) )
| ? [X136,X135] :
( ! [X138] :
( ( ~ p1(X136)
& p1(X138) )
| ( ~ p1(X135)
& q1(X138) ) )
& ! [X137] :
( p1(X137)
| ~ q1(X137) ) )
| ( ! [X73] : ~ p1(X73)
& ? [X72] : p1(X72) )
| ! [X64] :
? [X65] :
! [X66] :
( ( p(X66,X65)
& ! [X67] : ~ p(X67,X66) )
| ( ~ p(X66,X65)
& p(X66,X64)
& p(X64,X66) ) )
| ( ? [X60,X61] : a(X60,X61)
<~> ? [X62,X63] : a(X62,X63) )
| ( ? [X6] : p1(X6)
<~> ? [X5] : p1(X5) )
| ! [X0] :
? [X1] :
( p1(X0)
& ~ p1(X1) )
| ( ? [X95] :
! [X96] : p(X95,X96)
& ? [X97] :
! [X98] : ~ p(X98,X97) )
| ? [X80,X79] :
( ! [X82] :
( ( p1(X82)
& ~ p1(X79) )
| ( q1(X82)
& ~ p1(X80) ) )
& ! [X81] :
( ~ q1(X81)
| p1(X81) ) )
| ? [X11] :
( ! [X12] :
( ( ~ r1(X12)
& r1(X11) )
| p(f(X12),X12) )
& ! [X14,X13] :
( ~ p(X14,X13)
| ( q(f(X11),X11)
& ~ q(X14,X13) ) ) )
| ? [X118,X117] :
( ! [X119] : q1(f(X119))
& ! [X121,X120] :
( ( ( ~ p1(X121)
| ( r1(X120)
& ( ~ r1(X117)
| ~ r1(X118) ) ) )
& p1(f(X120)) )
| ~ q1(X121) ) )
| ? [X105,X106] :
( ! [X107] :
( ~ q1(X107)
| p1(X107) )
& ! [X108] :
( ( q1(X108)
& ~ p1(X106) )
| ( ~ p1(X105)
& p1(X108) ) ) )
| ( ! [X89] : p1(X89)
& ( ? [X90] : ~ p1(X90)
| ? [X91] : ~ p1(X91) ) )
| ? [X35,X34,X33] :
( r(X33,X35)
& ! [X38] :
( ~ s1(X38)
| p1(X38) )
& s1(X33)
& ! [X36,X37] :
( ~ r(X36,X37)
| q(X36,X37) )
& ! [X40,X39] :
( ~ p1(X40)
| ~ q(X40,X39) )
& s1(X34) )
| ( ! [X22] : b(X22)
& ? [X21] : a1(X21)
& ! [X23] :
( ~ b(X23)
| ~ a1(X23) ) )
| ( p1(z)
& ~ p1(z) )
| ( ( a0
<~> b0 )
& a0
& b0 )
| ? [X122,X123] :
( ! [X126,X125] :
( ( ~ p1(X126)
& p1(f(X125)) )
| ~ q1(X126)
| ( ( ~ r1(X123)
| ~ r1(X122) )
& r1(X125) ) )
& ! [X124] : q1(f(X124)) )
| ? [X111] :
! [X112,X115,X114,X116,X113] :
( p1(X111)
& ( ~ p1(X115)
| ~ g(X115) )
& ( ~ c(X113)
| ~ p1(X113) )
& ( ~ s(X111,X114)
| p1(X114) )
& ( g(X112)
| c(f(X112))
| ~ e(X112) )
& e(X111)
& ( s(X116,f(X116))
| g(X116)
| ~ e(X116) ) )
| ? [X27] :
! [X28] :
( a(X28,X27)
<=> ~ a(X28,X28) )
| ( ! [X99] : p1(X99)
& ! [X101] :
? [X102] :
( ~ p1(X102)
& ~ r1(X101) )
& ? [X100] : q1(X100) )
| ? [X129,X128,X127] :
( s1(X127)
& s1(X128)
& ! [X131,X130] :
( q(X131,X130)
| ~ r(X131,X130) )
& r(X128,X129)
& ! [X133,X134] :
( ~ p1(X133)
| ~ q(X133,X134) )
& ! [X132] :
( ~ s1(X132)
| p1(X132) ) )
| ( ? [X4,X3] :
( ~ p1(X3)
| ~ p1(X4) )
& ! [X2] : p1(X2) )
| ( ? [X77] : p1(X77)
& ! [X78] : ~ p1(X78) )
| ( ! [X48,X47] :
( eq(X47,X48)
<=> ! [X49] :
( a_member_of(X49,X48)
<=> a_member_of(X49,X47) ) )
& ? [X50,X51] :
( eq(X51,X50)
& ~ eq(X50,X51) ) )
| ( ( ( ( ( b0
& ~ b0 )
| ( q0
& ~ q0 ) )
& a0 )
| ! [X110] : ~ p1(X110) )
& ? [X109] : p1(X109) )
| ? [X86,X85] :
! [X88,X87] :
( r1(X85)
& ( p(X88,X87)
| ~ s1(X86) )
& ( ~ q1(X88)
| p(X88,X86) )
& ( ~ r1(X87)
| p(X85,X87) )
& q1(X86)
& r1(X86)
& ~ p(X86,X85)
& s1(X86)
& q1(X85) )
| ? [X54] :
( ! [X55] :
( ~ p1(X55)
| q1(X55) )
& ! [X56] :
( p1(X56)
| ~ r1(X56) )
& r1(X54)
& ~ q1(X54) )
| ( ! [X92] :
( ~ p1(X92)
| q1(X92) )
& ? [X93] :
( ~ q1(X93)
| r1(X93) )
& ! [X94] :
( ~ r1(X94)
& p1(X94) ) )
| ! [X83] :
( ? [X84] : p1(X84)
& ~ p1(X83) )
| ( ! [X43] :
( ~ a1(X43)
| ~ c(X43) )
& ? [X41] :
( ~ b(X41)
& a1(X41) )
& ! [X42] :
( ~ a1(X42)
| b(X42)
| c(X42) ) )
| ? [X52] :
( ~ q1(X52)
& ! [X53] :
( p1(X53)
& q1(X53) ) )
| ( ! [X44] :
( q1(X44)
| ~ p1(X44) )
& ? [X46] : ~ q1(X46)
& ! [X45] : p1(X45) )
| ( ! [X139] : p1(X139)
& ! [X140] : ~ p1(X140) )
| ? [X74,X75] :
( ! [X76] : p1(X76)
& ( ~ p1(X74)
| ~ p1(X75) ) )
| ( ! [X104] :
( ~ b(X104)
& ~ a1(X104) )
& ? [X103] : b(X103) )
| ( ! [X18] :
? [X19] :
( a(X19,X19)
& a(X18,X19) )
& ! [X20] : ~ a(X20,X20) ) ),
inference(flattening,[],[f5]) ).
fof(f5,plain,
( ? [X35,X34,X33] :
( ! [X40,X39] :
( ~ p1(X40)
| ~ q(X40,X39) )
& s1(X33)
& s1(X34)
& r(X33,X35)
& ! [X38] :
( ~ s1(X38)
| p1(X38) )
& ! [X36,X37] :
( ~ r(X36,X37)
| q(X36,X37) ) )
| ( ! [X59] : ~ b(X59)
& ? [X58] : a1(X58)
& ! [X57] :
( ~ a1(X57)
| b(X57) ) )
| ( ! [X101] :
? [X102] :
( ~ p1(X102)
& ~ r1(X101) )
& ! [X99] : p1(X99)
& ? [X100] : q1(X100) )
| ? [X11] :
( ! [X12] :
( ( ~ r1(X12)
& r1(X11) )
| p(f(X12),X12) )
& ! [X14,X13] :
( ~ p(X14,X13)
| ( q(f(X11),X11)
& ~ q(X14,X13) ) ) )
| ! [X0] :
? [X1] :
( p1(X0)
& ~ p1(X1) )
| ( ! [X15,X16] : p(X16,X15)
& ? [X17] : ~ p(X17,X17) )
| ! [X83] :
( ? [X84] : p1(X84)
& ~ p1(X83) )
| ? [X52] :
( ~ q1(X52)
& ! [X53] :
( p1(X53)
& q1(X53) ) )
| ( ? [X60,X61] : a(X60,X61)
<~> ? [X62,X63] : a(X62,X63) )
| ( ! [X48,X47] :
( eq(X47,X48)
<=> ! [X49] :
( a_member_of(X49,X48)
<=> a_member_of(X49,X47) ) )
& ? [X50,X51] :
( eq(X51,X50)
& ~ eq(X50,X51) ) )
| ( ! [X29] :
? [X30] :
( q1(X30)
& p1(X29) )
& ! [X31] :
? [X32] :
( ~ r1(X31)
& ~ p1(X32) ) )
| ( ( a0
<~> b0 )
& b0
& a0 )
| ( ! [X89] : p1(X89)
& ( ? [X90] : ~ p1(X90)
| ? [X91] : ~ p1(X91) ) )
| ( ! [X26] : ~ b(X26)
& ! [X25] : a1(X25)
& ? [X24] :
( b(X24)
| ~ a1(X24) ) )
| ( ! [X139] : p1(X139)
& ! [X140] : ~ p1(X140) )
| ( ? [X46] : ~ q1(X46)
& ! [X45] : p1(X45)
& ! [X44] :
( q1(X44)
| ~ p1(X44) ) )
| ? [X74,X75] :
( ! [X76] : p1(X76)
& ( ~ p1(X74)
| ~ p1(X75) ) )
| ( ! [X73] : ~ p1(X73)
& ? [X72] : p1(X72) )
| ? [X118,X117] :
( ! [X119] : q1(f(X119))
& ! [X121,X120] :
( ( ( ~ p1(X121)
| ( r1(X120)
& ( ~ r1(X117)
| ~ r1(X118) ) ) )
& p1(f(X120)) )
| ~ q1(X121) ) )
| ( ? [X95] :
! [X96] : p(X95,X96)
& ? [X97] :
! [X98] : ~ p(X98,X97) )
| ( ! [X23] :
( ~ b(X23)
| ~ a1(X23) )
& ? [X21] : a1(X21)
& ! [X22] : b(X22) )
| ( ? [X77] : p1(X77)
& ! [X78] : ~ p1(X78) )
| ? [X80,X79] :
( ! [X82] :
( ( p1(X82)
& ~ p1(X79) )
| ( q1(X82)
& ~ p1(X80) ) )
& ! [X81] :
( ~ q1(X81)
| p1(X81) ) )
| ? [X69,X68] :
! [X70,X71] :
( ~ r1(X69)
& p1(X68)
& ( r1(X71)
| ~ p1(X70) ) )
| ? [X105,X106] :
( ! [X107] :
( ~ q1(X107)
| p1(X107) )
& ! [X108] :
( ( q1(X108)
& ~ p1(X106) )
| ( ~ p1(X105)
& p1(X108) ) ) )
| ( ( ( ( ( b0
& ~ b0 )
| ( q0
& ~ q0 ) )
& a0 )
| ! [X110] : ~ p1(X110) )
& ? [X109] : p1(X109) )
| ( ? [X6] : p1(X6)
<~> ? [X5] : p1(X5) )
| ( ~ b0
& ( a0
<~> b0 )
& ~ a0 )
| ? [X136,X135] :
( ! [X138] :
( ( ~ p1(X136)
& p1(X138) )
| ( ~ p1(X135)
& q1(X138) ) )
& ! [X137] :
( p1(X137)
| ~ q1(X137) ) )
| ? [X54] :
( ~ q1(X54)
& ! [X56] :
( p1(X56)
| ~ r1(X56) )
& r1(X54)
& ! [X55] :
( ~ p1(X55)
| q1(X55) ) )
| ( ! [X104] :
( ~ b(X104)
& ~ a1(X104) )
& ? [X103] : b(X103) )
| ? [X111] :
! [X114,X113,X112,X115,X116] :
( ( ~ c(X113)
| ~ p1(X113) )
& ( ~ p1(X115)
| ~ g(X115) )
& ( g(X116)
| s(X116,f(X116))
| ~ e(X116) )
& ( ~ s(X111,X114)
| p1(X114) )
& e(X111)
& ( g(X112)
| c(f(X112))
| ~ e(X112) )
& p1(X111) )
| ? [X8,X7] :
( ! [X9,X10] :
( ( p1(f(X10))
& ( ( ( ~ r1(X8)
| ~ r1(X7) )
& r1(X10) )
| ~ p1(X9) ) )
| ~ q1(X9) )
& q1(f(X8)) )
| ? [X27] :
! [X28] :
( a(X28,X27)
<=> ~ a(X28,X28) )
| ( ! [X18] :
? [X19] :
( a(X19,X19)
& a(X18,X19) )
& ! [X20] : ~ a(X20,X20) )
| ( ? [X4,X3] :
( ~ p1(X3)
| ~ p1(X4) )
& ! [X2] : p1(X2) )
| ( ! [X43] :
( ~ a1(X43)
| ~ c(X43) )
& ! [X42] :
( b(X42)
| c(X42)
| ~ a1(X42) )
& ? [X41] :
( ~ b(X41)
& a1(X41) ) )
| ( p1(z)
& ~ p1(z) )
| ? [X128,X127,X129] :
( ! [X133,X134] :
( ~ p1(X133)
| ~ q(X133,X134) )
& s1(X127)
& r(X128,X129)
& ! [X131,X130] :
( q(X131,X130)
| ~ r(X131,X130) )
& s1(X128)
& ! [X132] :
( ~ s1(X132)
| p1(X132) ) )
| ? [X122,X123] :
( ! [X126,X125] :
( ( ~ p1(X126)
& p1(f(X125)) )
| ~ q1(X126)
| ( ( ~ r1(X123)
| ~ r1(X122) )
& r1(X125) ) )
& ! [X124] : q1(f(X124)) )
| ! [X64] :
? [X65] :
! [X66] :
( ( p(X66,X65)
& ! [X67] : ~ p(X67,X66) )
| ( ~ p(X66,X65)
& p(X64,X66)
& p(X66,X64) ) )
| ( ! [X94] :
( ~ r1(X94)
& p1(X94) )
& ? [X93] :
( ~ q1(X93)
| r1(X93) )
& ! [X92] :
( ~ p1(X92)
| q1(X92) ) )
| ? [X86,X85] :
! [X87,X88] :
( ~ p(X86,X85)
& q1(X85)
& ( ~ q1(X88)
| p(X88,X86) )
& ( ~ r1(X87)
| p(X85,X87) )
& ( p(X88,X87)
| ~ s1(X86) )
& r1(X85)
& r1(X86)
& q1(X86)
& s1(X86) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,plain,
~ ( ! [X35,X34,X33] :
( ( s1(X33)
& s1(X34)
& r(X33,X35)
& ! [X38] :
( s1(X38)
=> p1(X38) )
& ! [X36,X37] :
( r(X36,X37)
=> q(X36,X37) ) )
=> ? [X39,X40] :
( q(X40,X39)
& p1(X40) ) )
& ( ! [X57] :
( a1(X57)
=> b(X57) )
=> ( ? [X58] : a1(X58)
=> ? [X59] : b(X59) ) )
& ( ( ! [X99] : p1(X99)
& ? [X100] : q1(X100) )
=> ? [X101] :
! [X102] :
( p1(X102)
| r1(X101) ) )
& ! [X11] :
( ! [X12] :
( ( r1(X11)
=> r1(X12) )
=> p(f(X12),X12) )
=> ? [X13,X14] :
( p(X14,X13)
& ( q(f(X11),X11)
=> q(X14,X13) ) ) )
& ? [X0] :
! [X1] :
( p1(X0)
=> p1(X1) )
& ( ! [X15,X16] : p(X16,X15)
=> ! [X17] : p(X17,X17) )
& ? [X83] :
( ? [X84] : p1(X84)
=> p1(X83) )
& ! [X52] :
( ! [X53] :
( p1(X53)
& q1(X53) )
=> q1(X52) )
& ( ? [X60,X61] : a(X60,X61)
<=> ? [X62,X63] : a(X62,X63) )
& ( ! [X48,X47] :
( eq(X47,X48)
<=> ! [X49] :
( a_member_of(X49,X48)
<=> a_member_of(X49,X47) ) )
=> ! [X51,X50] :
( eq(X51,X50)
=> eq(X50,X51) ) )
& ( ! [X29] :
? [X30] :
( q1(X30)
& p1(X29) )
=> ? [X31] :
! [X32] :
( r1(X31)
| p1(X32) ) )
& ( ( b0
& a0 )
=> ( b0
<=> a0 ) )
& ( ! [X89] : p1(X89)
=> ( ! [X90] : p1(X90)
& ! [X91] : p1(X91) ) )
& ( ? [X24] :
( a1(X24)
=> b(X24) )
=> ( ! [X25] : a1(X25)
=> ? [X26] : b(X26) ) )
& ( ! [X139] : p1(X139)
=> ? [X140] : p1(X140) )
& ( ! [X44] :
( p1(X44)
=> q1(X44) )
=> ( ! [X45] : p1(X45)
=> ! [X46] : q1(X46) ) )
& ! [X74,X75] :
( ! [X76] : p1(X76)
=> ( p1(X75)
& p1(X74) ) )
& ( ? [X72] : p1(X72)
=> ? [X73] : p1(X73) )
& ! [X118,X117] :
( ! [X119] : q1(f(X119))
=> ? [X121,X120] :
( ( p1(f(X120))
=> ( p1(X121)
& ( r1(X120)
=> ( r1(X117)
& r1(X118) ) ) ) )
& q1(X121) ) )
& ( ? [X95] :
! [X96] : p(X95,X96)
=> ! [X97] :
? [X98] : p(X98,X97) )
& ( ( ? [X21] : a1(X21)
& ! [X22] : b(X22) )
=> ? [X23] :
( a1(X23)
& b(X23) ) )
& ( ? [X77] : p1(X77)
=> ? [X78] : p1(X78) )
& ! [X80,X79] :
( ! [X81] :
( q1(X81)
=> p1(X81) )
=> ? [X82] :
( ( q1(X82)
=> p1(X80) )
& ( p1(X82)
=> p1(X79) ) ) )
& ! [X69,X68] :
? [X70,X71] :
( ( p1(X70)
=> r1(X71) )
=> ( p1(X68)
=> r1(X69) ) )
& ! [X106,X105] :
( ! [X107] :
( q1(X107)
=> p1(X107) )
=> ? [X108] :
( ( p1(X108)
=> p1(X105) )
& ( q1(X108)
=> p1(X106) ) ) )
& ( ? [X109] : p1(X109)
=> ( ? [X110] : p1(X110)
& ( a0
=> ( ( q0
=> q0 )
& ( ~ b0
| b0 ) ) ) ) )
& ( ? [X5] : p1(X5)
<=> ? [X6] : p1(X6) )
& ( b0
| ( a0
<=> b0 )
| a0 )
& ! [X135,X136] :
( ! [X137] :
( q1(X137)
=> p1(X137) )
=> ? [X138] :
( ( p1(X138)
=> p1(X136) )
& ( q1(X138)
=> p1(X135) ) ) )
& ! [X54] :
( ( r1(X54)
& ! [X55] :
( p1(X55)
=> q1(X55) ) )
=> ( ! [X56] :
( r1(X56)
=> p1(X56) )
=> q1(X54) ) )
& ( ? [X103] : b(X103)
=> ? [X104] :
( a1(X104)
| b(X104) ) )
& ! [X111] :
? [X114,X113,X112,X115,X116] :
( ( ( e(X116)
=> ( g(X116)
| s(X116,f(X116)) ) )
& ( s(X111,X114)
=> p1(X114) )
& e(X111)
& ( e(X112)
=> ( g(X112)
| c(f(X112)) ) )
& p1(X111) )
=> ( ( c(X113)
& p1(X113) )
| ( p1(X115)
& g(X115) ) ) )
& ! [X7,X8] :
( q1(f(X8))
=> ? [X9,X10] :
( ( p1(f(X10))
=> ( ( r1(X10)
=> ( r1(X8)
& r1(X7) ) )
& p1(X9) ) )
& q1(X9) ) )
& ~ ? [X27] :
! [X28] :
( a(X28,X27)
<=> ~ a(X28,X28) )
& ( ! [X18] :
? [X19] :
( a(X19,X19)
& a(X18,X19) )
=> ? [X20] : a(X20,X20) )
& ( ! [X2] : p1(X2)
=> ! [X3,X4] :
( p1(X4)
& p1(X3) ) )
& ( ( ! [X42] :
( a1(X42)
=> ( b(X42)
| c(X42) ) )
& ~ ! [X41] :
( a1(X41)
=> b(X41) ) )
=> ? [X43] :
( a1(X43)
& c(X43) ) )
& ( p1(z)
=> p1(z) )
& ! [X128,X127,X129] :
( ( s1(X127)
& r(X128,X129)
& ! [X130,X131] :
( r(X131,X130)
=> q(X131,X130) )
& s1(X128)
& ! [X132] :
( s1(X132)
=> p1(X132) ) )
=> ? [X134,X133] :
( p1(X133)
& q(X133,X134) ) )
& ! [X122,X123] :
( ! [X124] : q1(f(X124))
=> ? [X126,X125] :
( q1(X126)
& ( r1(X125)
=> ( r1(X122)
& r1(X123) ) )
& ( p1(f(X125))
=> p1(X126) ) ) )
& ? [X64] :
! [X65] :
? [X66] :
( ( p(X66,X65)
=> ? [X67] : p(X67,X66) )
& ( ( p(X64,X66)
& p(X66,X64) )
=> p(X66,X65) ) )
& ( ( ? [X93] :
( q1(X93)
=> r1(X93) )
& ! [X92] :
( p1(X92)
=> q1(X92) ) )
=> ? [X94] :
( p1(X94)
=> r1(X94) ) )
& ! [X86,X85] :
? [X87,X88] :
( ( q1(X85)
& ( q1(X88)
=> p(X88,X86) )
& ( r1(X87)
=> p(X85,X87) )
& ( s1(X86)
=> p(X88,X87) )
& r1(X85)
& r1(X86)
& q1(X86)
& s1(X86) )
=> p(X86,X85) ) ),
inference(pure_predicate_removal,[],[f3]) ).
fof(f3,plain,
~ ( ! [X35,X34,X33] :
( ( s1(X33)
& s1(X34)
& r(X33,X35)
& ! [X38] :
( s1(X38)
=> p1(X38) )
& ! [X36,X37] :
( r(X36,X37)
=> q(X36,X37) ) )
=> ? [X39,X40] :
( q(X40,X39)
& p1(X40) ) )
& ( ! [X57] :
( a1(X57)
=> b(X57) )
=> ( ? [X58] : a1(X58)
=> ? [X59] : b(X59) ) )
& ( ( ! [X99] : p1(X99)
& ? [X100] : q1(X100) )
=> ? [X101] :
! [X102] :
( p1(X102)
| r1(X101) ) )
& ! [X11] :
( ! [X12] :
( ( r1(X11)
=> r1(X12) )
=> p(f(X12),X12) )
=> ? [X13,X14] :
( p(X14,X13)
& ( q(f(X11),X11)
=> q(X14,X13) ) ) )
& ? [X0] :
! [X1] :
( p1(X0)
=> p1(X1) )
& ( ! [X15,X16] : p(X16,X15)
=> ! [X17] : p(X17,X17) )
& ? [X83] :
( ? [X84] : p1(X84)
=> p1(X83) )
& ! [X52] :
( ( ! [X53] :
( p1(X53)
& q1(X53) )
& ( g0
| f0 ) )
=> q1(X52) )
& ( ? [X60,X61] : a(X60,X61)
<=> ? [X62,X63] : a(X62,X63) )
& ( ! [X48,X47] :
( eq(X47,X48)
<=> ! [X49] :
( a_member_of(X49,X48)
<=> a_member_of(X49,X47) ) )
=> ! [X51,X50] :
( eq(X51,X50)
=> eq(X50,X51) ) )
& ( ! [X29] :
? [X30] :
( q1(X30)
& p1(X29) )
=> ? [X31] :
! [X32] :
( r1(X31)
| p1(X32) ) )
& ( ( b0
& a0 )
=> ( b0
<=> a0 ) )
& ( ! [X89] : p1(X89)
=> ( ! [X90] : p1(X90)
& ! [X91] : p1(X91) ) )
& ( ? [X24] :
( a1(X24)
=> b(X24) )
=> ( ! [X25] : a1(X25)
=> ? [X26] : b(X26) ) )
& ( ! [X139] : p1(X139)
=> ? [X140] : p1(X140) )
& ( ! [X44] :
( p1(X44)
=> q1(X44) )
=> ( ! [X45] : p1(X45)
=> ! [X46] : q1(X46) ) )
& ! [X74,X75] :
( ! [X76] : p1(X76)
=> ( p1(X75)
& p1(X74) ) )
& ( ? [X72] : p1(X72)
=> ? [X73] : p1(X73) )
& ! [X118,X117] :
( ! [X119] : q1(f(X119))
=> ? [X121,X120] :
( ( p1(f(X120))
=> ( p1(X121)
& ( r1(X120)
=> ( r1(X117)
& r1(X118) ) ) ) )
& q1(X121) ) )
& ( ? [X95] :
! [X96] : p(X95,X96)
=> ! [X97] :
? [X98] : p(X98,X97) )
& ( ( ? [X21] : a1(X21)
& ! [X22] : b(X22) )
=> ? [X23] :
( a1(X23)
& b(X23) ) )
& ( ? [X77] : p1(X77)
=> ? [X78] : p1(X78) )
& ! [X80,X79] :
( ! [X81] :
( q1(X81)
=> p1(X81) )
=> ? [X82] :
( ( q1(X82)
=> p1(X80) )
& ( p1(X82)
=> p1(X79) ) ) )
& ! [X69,X68] :
? [X70,X71] :
( ( p1(X70)
=> r1(X71) )
=> ( p1(X68)
=> r1(X69) ) )
& ! [X106,X105] :
( ! [X107] :
( q1(X107)
=> p1(X107) )
=> ? [X108] :
( ( p1(X108)
=> p1(X105) )
& ( q1(X108)
=> p1(X106) ) ) )
& ( ? [X109] : p1(X109)
=> ( ? [X110] : p1(X110)
& ( a0
=> ( ( q0
=> q0 )
& ( ~ b0
| b0 ) ) ) ) )
& ( ? [X5] : p1(X5)
<=> ? [X6] : p1(X6) )
& ( b0
| ( a0
<=> b0 )
| a0 )
& ! [X135,X136] :
( ! [X137] :
( q1(X137)
=> p1(X137) )
=> ? [X138] :
( ( p1(X138)
=> p1(X136) )
& ( q1(X138)
=> p1(X135) ) ) )
& ! [X54] :
( ( r1(X54)
& ! [X55] :
( p1(X55)
=> q1(X55) ) )
=> ( ! [X56] :
( r1(X56)
=> p1(X56) )
=> q1(X54) ) )
& ( ? [X103] : b(X103)
=> ? [X104] :
( a1(X104)
| b(X104) ) )
& ! [X111] :
? [X114,X113,X112,X115,X116] :
( ( ( e(X116)
=> ( g(X116)
| s(X116,f(X116)) ) )
& ( s(X111,X114)
=> p1(X114) )
& e(X111)
& ( e(X112)
=> ( g(X112)
| c(f(X112)) ) )
& p1(X111) )
=> ( ( c(X113)
& p1(X113) )
| ( p1(X115)
& g(X115) ) ) )
& ! [X7,X8] :
( q1(f(X8))
=> ? [X9,X10] :
( ( p1(f(X10))
=> ( ( r1(X10)
=> ( r1(X8)
& r1(X7) ) )
& p1(X9) ) )
& q1(X9) ) )
& ~ ? [X27] :
! [X28] :
( a(X28,X27)
<=> ~ a(X28,X28) )
& ( ! [X18] :
? [X19] :
( a(X19,X19)
& a(X18,X19) )
=> ? [X20] : a(X20,X20) )
& ( ! [X2] : p1(X2)
=> ! [X3,X4] :
( p1(X4)
& p1(X3) ) )
& ( ( ! [X42] :
( a1(X42)
=> ( b(X42)
| c(X42) ) )
& ~ ! [X41] :
( a1(X41)
=> b(X41) ) )
=> ? [X43] :
( a1(X43)
& c(X43) ) )
& ( p1(z)
=> p1(z) )
& ! [X128,X127,X129] :
( ( s1(X127)
& r(X128,X129)
& ! [X130,X131] :
( r(X131,X130)
=> q(X131,X130) )
& s1(X128)
& ! [X132] :
( s1(X132)
=> p1(X132) ) )
=> ? [X134,X133] :
( p1(X133)
& q(X133,X134) ) )
& ! [X122,X123] :
( ! [X124] : q1(f(X124))
=> ? [X126,X125] :
( q1(X126)
& ( r1(X125)
=> ( r1(X122)
& r1(X123) ) )
& ( p1(f(X125))
=> p1(X126) ) ) )
& ? [X64] :
! [X65] :
? [X66] :
( ( p(X66,X65)
=> ? [X67] : p(X67,X66) )
& ( ( p(X64,X66)
& p(X66,X64) )
=> p(X66,X65) ) )
& ( ( ? [X93] :
( q1(X93)
=> r1(X93) )
& ! [X92] :
( p1(X92)
=> q1(X92) ) )
=> ? [X94] :
( p1(X94)
=> r1(X94) ) )
& ! [X86,X85] :
? [X87,X88] :
( ( q1(X85)
& ( q1(X88)
=> p(X88,X86) )
& ( r1(X87)
=> p(X85,X87) )
& ( s1(X86)
=> p(X88,X87) )
& r1(X85)
& r1(X86)
& q1(X86)
& s1(X86) )
=> p(X86,X85) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ? [X3] :
! [X4] :
( p1(X3)
=> p1(X4) )
& ( ! [X3] : p1(X3)
=> ! [X5,X1] :
( p1(X5)
& p1(X1) ) )
& ( ? [X3] : p1(X3)
<=> ? [X4] : p1(X4) )
& ! [X0,X1] :
( q1(f(X1))
=> ? [X3,X4] :
( ( p1(f(X4))
=> ( p1(X3)
& ( r1(X4)
=> ( r1(X1)
& r1(X0) ) ) ) )
& q1(X3) ) )
& ! [X1] :
( ! [X4] :
( ( r1(X1)
=> r1(X4) )
=> p(f(X4),X4) )
=> ? [X4,X3] :
( p(X3,X4)
& ( q(f(X1),X1)
=> q(X3,X4) ) ) )
& ( ! [X4,X3] : p(X3,X4)
=> ! [X3] : p(X3,X3) )
& ( ! [X3] :
? [X4] :
( a(X3,X4)
& a(X4,X4) )
=> ? [X2] : a(X2,X2) )
& ( p1(z)
=> p1(z) )
& ( ( ? [X3] : a1(X3)
& ! [X3] : b(X3) )
=> ? [X3] :
( a1(X3)
& b(X3) ) )
& ( ? [X3] :
( a1(X3)
=> b(X3) )
=> ( ! [X3] : a1(X3)
=> ? [X3] : b(X3) ) )
& ~ ? [X4] :
! [X3] :
( ~ a(X3,X3)
<=> a(X3,X4) )
& ( ! [X3] :
? [X4] :
( q1(X4)
& p1(X3) )
=> ? [X2] :
! [X4] :
( r1(X2)
| p1(X4) ) )
& ( ( b0
& a0 )
=> ( b0
<=> a0 ) )
& ! [X1,X5,X0] :
( ( r(X1,X0)
& ! [X3,X4] :
( r(X3,X4)
=> q(X3,X4) )
& ! [X3] :
( s1(X3)
=> p1(X3) )
& s1(X1)
& s1(X5) )
=> ? [X4,X3] :
( q(X3,X4)
& p1(X3) ) )
& ( ( ~ ! [X3] :
( a1(X3)
=> b(X3) )
& ! [X3] :
( a1(X3)
=> ( b(X3)
| c(X3) ) ) )
=> ? [X3] :
( a1(X3)
& c(X3) ) )
& ( ! [X3] :
( p1(X3)
=> q1(X3) )
=> ( ! [X3] : p1(X3)
=> ! [X3] : q1(X3) ) )
& ( ! [X3,X4] :
( eq(X3,X4)
<=> ! [X2] :
( a_member_of(X2,X3)
<=> a_member_of(X2,X4) ) )
=> ! [X1,X5] :
( eq(X5,X1)
=> eq(X1,X5) ) )
& ! [X5] :
( ( ( g0
| f0 )
& ! [X3] :
( q1(X3)
& p1(X3) ) )
=> q1(X5) )
& ! [X1] :
( ( r1(X1)
& ! [X3] :
( p1(X3)
=> q1(X3) ) )
=> ( ! [X4] :
( r1(X4)
=> p1(X4) )
=> q1(X1) ) )
& ( ! [X3] :
( a1(X3)
=> b(X3) )
=> ( ? [X3] : a1(X3)
=> ? [X3] : b(X3) ) )
& ( ? [X3,X4] : a(X3,X4)
<=> ? [X3,X4] : a(X3,X4) )
& ? [X2] :
! [X3] :
? [X4] :
( ( ( p(X4,X2)
& p(X2,X4) )
=> p(X4,X3) )
& ( p(X4,X3)
=> ? [X9] : p(X9,X4) ) )
& ! [X5,X1] :
? [X3,X4] :
( ( p1(X3)
=> r1(X4) )
=> ( p1(X5)
=> r1(X1) ) )
& ( ? [X3] : p1(X3)
=> ? [X4] : p1(X4) )
& ! [X5,X1] :
( ! [X3] : p1(X3)
=> ( p1(X5)
& p1(X1) ) )
& ( ? [X3] : p1(X3)
=> ? [X2] : p1(X2) )
& ( b0
| ( a0
<=> b0 )
| a0 )
& ! [X5,X1] :
( ! [X2] :
( q1(X2)
=> p1(X2) )
=> ? [X3] :
( ( p1(X3)
=> p1(X5) )
& ( q1(X3)
=> p1(X1) ) ) )
& ? [X4] :
( ? [X3] : p1(X3)
=> p1(X4) )
& ! [X1,X5] :
? [X4,X3] :
( ( ( s1(X5)
=> p(X3,X4) )
& q1(X1)
& s1(X5)
& q1(X5)
& ( q1(X3)
=> p(X3,X5) )
& ( r1(X4)
=> p(X1,X4) )
& r1(X1)
& r1(X5) )
=> p(X5,X1) )
& ( ! [X3] : p1(X3)
=> ( ! [X4] : p1(X4)
& ! [X3] : p1(X3) ) )
& ( ( ! [X3] :
( p1(X3)
=> q1(X3) )
& ? [X4] :
( q1(X4)
=> r1(X4) ) )
=> ? [X2] :
( p1(X2)
=> r1(X2) ) )
& ( ? [X3] :
! [X4] : p(X3,X4)
=> ! [X4] :
? [X3] : p(X3,X4) )
& ( ( ! [X3] : p1(X3)
& ? [X4] : q1(X4) )
=> ? [X2] :
! [X4] :
( r1(X2)
| p1(X4) ) )
& ( ? [X3] : b(X3)
=> ? [X3] :
( a1(X3)
| b(X3) ) )
& ! [X5,X1] :
( ! [X4] :
( q1(X4)
=> p1(X4) )
=> ? [X3] :
( ( p1(X3)
=> p1(X5) )
& ( q1(X3)
=> p1(X1) ) ) )
& ( ? [X3] : p1(X3)
=> ( ( a0
=> ( ( q0
=> q0 )
& ( ~ b0
| b0 ) ) )
& ? [X3] : p1(X3) ) )
& ! [X5] :
? [X6,X8,X4,X7,X3] :
( ( e(X5)
& ( s(X5,X4)
=> p1(X4) )
& ( e(X3)
=> ( s(X3,f(X3))
| g(X3) ) )
& ( e(X6)
=> ( c(f(X6))
| g(X6) ) )
& p1(X5) )
=> ( ( p1(X7)
& g(X7) )
| ( c(X8)
& p1(X8) ) ) )
& ! [X1,X0] :
( ! [X2] : q1(f(X2))
=> ? [X4,X3] :
( ( p1(f(X4))
=> ( ( r1(X4)
=> ( r1(X1)
& r1(X0) ) )
& p1(X3) ) )
& q1(X3) ) )
& ! [X0,X1] :
( ! [X2] : q1(f(X2))
=> ? [X4,X3] :
( q1(X3)
& ( r1(X4)
=> ( r1(X1)
& r1(X0) ) )
& ( p1(f(X4))
=> p1(X3) ) ) )
& ! [X5,X1,X0] :
( ( s1(X1)
& r(X1,X0)
& ! [X4,X3] :
( r(X3,X4)
=> q(X3,X4) )
& s1(X5)
& ! [X3] :
( s1(X3)
=> p1(X3) ) )
=> ? [X3,X4] :
( p1(X3)
& q(X3,X4) ) )
& ! [X1,X5] :
( ! [X4] :
( q1(X4)
=> p1(X4) )
=> ? [X3] :
( ( q1(X3)
=> p1(X1) )
& ( p1(X3)
=> p1(X5) ) ) )
& ( ! [X3] : p1(X3)
=> ? [X4] : p1(X4) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ? [X3] :
! [X4] :
( p1(X3)
=> p1(X4) )
& ( ! [X3] : p1(X3)
=> ! [X5,X1] :
( p1(X5)
& p1(X1) ) )
& ( ? [X3] : p1(X3)
<=> ? [X4] : p1(X4) )
& ! [X0,X1] :
( q1(f(X1))
=> ? [X3,X4] :
( ( p1(f(X4))
=> ( p1(X3)
& ( r1(X4)
=> ( r1(X1)
& r1(X0) ) ) ) )
& q1(X3) ) )
& ! [X1] :
( ! [X4] :
( ( r1(X1)
=> r1(X4) )
=> p(f(X4),X4) )
=> ? [X4,X3] :
( p(X3,X4)
& ( q(f(X1),X1)
=> q(X3,X4) ) ) )
& ( ! [X4,X3] : p(X3,X4)
=> ! [X3] : p(X3,X3) )
& ( ! [X3] :
? [X4] :
( a(X3,X4)
& a(X4,X4) )
=> ? [X2] : a(X2,X2) )
& ( p1(z)
=> p1(z) )
& ( ( ? [X3] : a1(X3)
& ! [X3] : b(X3) )
=> ? [X3] :
( a1(X3)
& b(X3) ) )
& ( ? [X3] :
( a1(X3)
=> b(X3) )
=> ( ! [X3] : a1(X3)
=> ? [X3] : b(X3) ) )
& ~ ? [X4] :
! [X3] :
( ~ a(X3,X3)
<=> a(X3,X4) )
& ( ! [X3] :
? [X4] :
( q1(X4)
& p1(X3) )
=> ? [X2] :
! [X4] :
( r1(X2)
| p1(X4) ) )
& ( ( b0
& a0 )
=> ( b0
<=> a0 ) )
& ! [X1,X5,X0] :
( ( r(X1,X0)
& ! [X3,X4] :
( r(X3,X4)
=> q(X3,X4) )
& ! [X3] :
( s1(X3)
=> p1(X3) )
& s1(X1)
& s1(X5) )
=> ? [X4,X3] :
( q(X3,X4)
& p1(X3) ) )
& ( ( ~ ! [X3] :
( a1(X3)
=> b(X3) )
& ! [X3] :
( a1(X3)
=> ( b(X3)
| c(X3) ) ) )
=> ? [X3] :
( a1(X3)
& c(X3) ) )
& ( ! [X3] :
( p1(X3)
=> q1(X3) )
=> ( ! [X3] : p1(X3)
=> ! [X3] : q1(X3) ) )
& ( ! [X3,X4] :
( eq(X3,X4)
<=> ! [X2] :
( a_member_of(X2,X3)
<=> a_member_of(X2,X4) ) )
=> ! [X1,X5] :
( eq(X5,X1)
=> eq(X1,X5) ) )
& ! [X5] :
( ( ( g0
| f0 )
& ! [X3] :
( q1(X3)
& p1(X3) ) )
=> q1(X5) )
& ! [X1] :
( ( r1(X1)
& ! [X3] :
( p1(X3)
=> q1(X3) ) )
=> ( ! [X4] :
( r1(X4)
=> p1(X4) )
=> q1(X1) ) )
& ( ! [X3] :
( a1(X3)
=> b(X3) )
=> ( ? [X3] : a1(X3)
=> ? [X3] : b(X3) ) )
& ( ? [X3,X4] : a(X3,X4)
<=> ? [X3,X4] : a(X3,X4) )
& ? [X2] :
! [X3] :
? [X4] :
( ( ( p(X4,X2)
& p(X2,X4) )
=> p(X4,X3) )
& ( p(X4,X3)
=> ? [X9] : p(X9,X4) ) )
& ! [X5,X1] :
? [X3,X4] :
( ( p1(X3)
=> r1(X4) )
=> ( p1(X5)
=> r1(X1) ) )
& ( ? [X3] : p1(X3)
=> ? [X4] : p1(X4) )
& ! [X5,X1] :
( ! [X3] : p1(X3)
=> ( p1(X5)
& p1(X1) ) )
& ( ? [X3] : p1(X3)
=> ? [X2] : p1(X2) )
& ( b0
| ( a0
<=> b0 )
| a0 )
& ! [X5,X1] :
( ! [X2] :
( q1(X2)
=> p1(X2) )
=> ? [X3] :
( ( p1(X3)
=> p1(X5) )
& ( q1(X3)
=> p1(X1) ) ) )
& ? [X4] :
( ? [X3] : p1(X3)
=> p1(X4) )
& ! [X1,X5] :
? [X4,X3] :
( ( ( s1(X5)
=> p(X3,X4) )
& q1(X1)
& s1(X5)
& q1(X5)
& ( q1(X3)
=> p(X3,X5) )
& ( r1(X4)
=> p(X1,X4) )
& r1(X1)
& r1(X5) )
=> p(X5,X1) )
& ( ! [X3] : p1(X3)
=> ( ! [X4] : p1(X4)
& ! [X3] : p1(X3) ) )
& ( ( ! [X3] :
( p1(X3)
=> q1(X3) )
& ? [X4] :
( q1(X4)
=> r1(X4) ) )
=> ? [X2] :
( p1(X2)
=> r1(X2) ) )
& ( ? [X3] :
! [X4] : p(X3,X4)
=> ! [X4] :
? [X3] : p(X3,X4) )
& ( ( ! [X3] : p1(X3)
& ? [X4] : q1(X4) )
=> ? [X2] :
! [X4] :
( r1(X2)
| p1(X4) ) )
& ( ? [X3] : b(X3)
=> ? [X3] :
( a1(X3)
| b(X3) ) )
& ! [X5,X1] :
( ! [X4] :
( q1(X4)
=> p1(X4) )
=> ? [X3] :
( ( p1(X3)
=> p1(X5) )
& ( q1(X3)
=> p1(X1) ) ) )
& ( ? [X3] : p1(X3)
=> ( ( a0
=> ( ( q0
=> q0 )
& ( ~ b0
| b0 ) ) )
& ? [X3] : p1(X3) ) )
& ! [X5] :
? [X6,X8,X4,X7,X3] :
( ( e(X5)
& ( s(X5,X4)
=> p1(X4) )
& ( e(X3)
=> ( s(X3,f(X3))
| g(X3) ) )
& ( e(X6)
=> ( c(f(X6))
| g(X6) ) )
& p1(X5) )
=> ( ( p1(X7)
& g(X7) )
| ( c(X8)
& p1(X8) ) ) )
& ! [X1,X0] :
( ! [X2] : q1(f(X2))
=> ? [X4,X3] :
( ( p1(f(X4))
=> ( ( r1(X4)
=> ( r1(X1)
& r1(X0) ) )
& p1(X3) ) )
& q1(X3) ) )
& ! [X0,X1] :
( ! [X2] : q1(f(X2))
=> ? [X4,X3] :
( q1(X3)
& ( r1(X4)
=> ( r1(X1)
& r1(X0) ) )
& ( p1(f(X4))
=> p1(X3) ) ) )
& ! [X5,X1,X0] :
( ( s1(X1)
& r(X1,X0)
& ! [X4,X3] :
( r(X3,X4)
=> q(X3,X4) )
& s1(X5)
& ! [X3] :
( s1(X3)
=> p1(X3) ) )
=> ? [X3,X4] :
( p1(X3)
& q(X3,X4) ) )
& ! [X1,X5] :
( ! [X4] :
( q1(X4)
=> p1(X4) )
=> ? [X3] :
( ( q1(X3)
=> p1(X1) )
& ( p1(X3)
=> p1(X5) ) ) )
& ( ! [X3] : p1(X3)
=> ? [X4] : p1(X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f1091,plain,
( ~ spl103_20
| spl103_61 ),
inference(avatar_split_clause,[],[f248,f618,f451]) ).
fof(f248,plain,
! [X2] :
( p1(X2)
| ~ sP23 ),
inference(cnf_transformation,[],[f112]) ).
fof(f1086,plain,
( ~ spl103_55
| spl103_139 ),
inference(avatar_split_clause,[],[f327,f990,f592]) ).
fof(f327,plain,
! [X3] :
( p1(X3)
| ~ sP5
| ~ s1(X3) ),
inference(cnf_transformation,[],[f182]) ).
fof(f182,plain,
( ( r(sK86,sK84)
& ! [X3] :
( ~ s1(X3)
| p1(X3) )
& s1(sK86)
& ! [X4,X5] :
( ~ r(X4,X5)
| q(X4,X5) )
& ! [X6,X7] :
( ~ p1(X6)
| ~ q(X6,X7) )
& s1(sK85) )
| ~ sP5 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK84,sK85,sK86])],[f180,f181]) ).
fof(f181,plain,
( ? [X0,X1,X2] :
( r(X2,X0)
& ! [X3] :
( ~ s1(X3)
| p1(X3) )
& s1(X2)
& ! [X4,X5] :
( ~ r(X4,X5)
| q(X4,X5) )
& ! [X6,X7] :
( ~ p1(X6)
| ~ q(X6,X7) )
& s1(X1) )
=> ( r(sK86,sK84)
& ! [X3] :
( ~ s1(X3)
| p1(X3) )
& s1(sK86)
& ! [X4,X5] :
( ~ r(X4,X5)
| q(X4,X5) )
& ! [X6,X7] :
( ~ p1(X6)
| ~ q(X6,X7) )
& s1(sK85) ) ),
introduced(choice_axiom,[]) ).
fof(f180,plain,
( ? [X0,X1,X2] :
( r(X2,X0)
& ! [X3] :
( ~ s1(X3)
| p1(X3) )
& s1(X2)
& ! [X4,X5] :
( ~ r(X4,X5)
| q(X4,X5) )
& ! [X6,X7] :
( ~ p1(X6)
| ~ q(X6,X7) )
& s1(X1) )
| ~ sP5 ),
inference(rectify,[],[f179]) ).
fof(f179,plain,
( ? [X35,X34,X33] :
( r(X33,X35)
& ! [X38] :
( ~ s1(X38)
| p1(X38) )
& s1(X33)
& ! [X36,X37] :
( ~ r(X36,X37)
| q(X36,X37) )
& ! [X40,X39] :
( ~ p1(X40)
| ~ q(X40,X39) )
& s1(X34) )
| ~ sP5 ),
inference(nnf_transformation,[],[f12]) ).
fof(f1085,plain,
( spl103_61
| ~ spl103_38 ),
inference(avatar_split_clause,[],[f230,f524,f618]) ).
fof(f230,plain,
! [X0] :
( ~ sP30
| p1(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
( ( ! [X0] : p1(X0)
& ! [X1] : ~ p1(X1) )
| ~ sP30 ),
inference(rectify,[],[f83]) ).
fof(f83,plain,
( ( ! [X139] : p1(X139)
& ! [X140] : ~ p1(X140) )
| ~ sP30 ),
inference(nnf_transformation,[],[f37]) ).
fof(f1084,plain,
( ~ spl103_40
| spl103_156 ),
inference(avatar_split_clause,[],[f234,f1082,f532]) ).
fof(f234,plain,
! [X1] :
( b(X1)
| ~ a1(X1)
| ~ sP28 ),
inference(cnf_transformation,[],[f92]) ).
fof(f1080,plain,
( spl103_19
| ~ spl103_46 ),
inference(avatar_split_clause,[],[f225,f556,f447]) ).
fof(f225,plain,
! [X1] :
( ~ sP32
| ~ p1(X1) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
( ( p1(sK50)
& ! [X1] : ~ p1(X1) )
| ~ sP32 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK50])],[f76,f77]) ).
fof(f77,plain,
( ? [X0] : p1(X0)
=> p1(sK50) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
( ( ? [X0] : p1(X0)
& ! [X1] : ~ p1(X1) )
| ~ sP32 ),
inference(rectify,[],[f75]) ).
fof(f75,plain,
( ( ? [X77] : p1(X77)
& ! [X78] : ~ p1(X78) )
| ~ sP32 ),
inference(nnf_transformation,[],[f39]) ).
fof(f1079,plain,
( spl103_96
| spl103_77
| ~ spl103_17 ),
inference(avatar_split_clause,[],[f273,f439,f689,f778]) ).
fof(f273,plain,
! [X3,X4] :
( ~ sP16
| ~ q1(X3)
| p1(f(X4)) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
( ( ! [X2] : q1(f(X2))
& ! [X3,X4] :
( ( ( ~ p1(X3)
| ( r1(X4)
& ( ~ r1(sK69)
| ~ r1(sK68) ) ) )
& p1(f(X4)) )
| ~ q1(X3) ) )
| ~ sP16 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK68,sK69])],[f137,f138]) ).
fof(f138,plain,
( ? [X0,X1] :
( ! [X2] : q1(f(X2))
& ! [X3,X4] :
( ( ( ~ p1(X3)
| ( r1(X4)
& ( ~ r1(X1)
| ~ r1(X0) ) ) )
& p1(f(X4)) )
| ~ q1(X3) ) )
=> ( ! [X2] : q1(f(X2))
& ! [X4,X3] :
( ( ( ~ p1(X3)
| ( r1(X4)
& ( ~ r1(sK69)
| ~ r1(sK68) ) ) )
& p1(f(X4)) )
| ~ q1(X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f137,plain,
( ? [X0,X1] :
( ! [X2] : q1(f(X2))
& ! [X3,X4] :
( ( ( ~ p1(X3)
| ( r1(X4)
& ( ~ r1(X1)
| ~ r1(X0) ) ) )
& p1(f(X4)) )
| ~ q1(X3) ) )
| ~ sP16 ),
inference(rectify,[],[f136]) ).
fof(f136,plain,
( ? [X118,X117] :
( ! [X119] : q1(f(X119))
& ! [X121,X120] :
( ( ( ~ p1(X121)
| ( r1(X120)
& ( ~ r1(X117)
| ~ r1(X118) ) ) )
& p1(f(X120)) )
| ~ q1(X121) ) )
| ~ sP16 ),
inference(nnf_transformation,[],[f23]) ).
fof(f1078,plain,
( spl103_155
| ~ spl103_55 ),
inference(avatar_split_clause,[],[f328,f592,f1075]) ).
fof(f328,plain,
( ~ sP5
| r(sK86,sK84) ),
inference(cnf_transformation,[],[f182]) ).
fof(f1073,plain,
( ~ spl103_47
| ~ spl103_92
| ~ spl103_68 ),
inference(avatar_split_clause,[],[f280,f647,f755,f560]) ).
fof(f755,plain,
( spl103_92
<=> a0 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_92])]) ).
fof(f647,plain,
( spl103_68
<=> b0 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_68])]) ).
fof(f280,plain,
( ~ b0
| ~ a0
| ~ sP15 ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
( ( ( ~ b0
| ~ a0 )
& ( b0
| a0 )
& a0
& b0 )
| ~ sP15 ),
inference(flattening,[],[f140]) ).
fof(f140,plain,
( ( ( ~ b0
| ~ a0 )
& ( b0
| a0 )
& a0
& b0 )
| ~ sP15 ),
inference(nnf_transformation,[],[f22]) ).
fof(f1072,plain,
( spl103_133
| ~ spl103_55 ),
inference(avatar_split_clause,[],[f324,f592,f960]) ).
fof(f324,plain,
! [X6,X7] :
( ~ sP5
| ~ q(X6,X7)
| ~ p1(X6) ),
inference(cnf_transformation,[],[f182]) ).
fof(f1071,plain,
( spl103_154
| ~ spl103_28 ),
inference(avatar_split_clause,[],[f331,f484,f1068]) ).
fof(f331,plain,
( ~ sP4
| r(sK88,sK87) ),
inference(cnf_transformation,[],[f186]) ).
fof(f186,plain,
( ( s1(sK89)
& s1(sK88)
& ! [X3,X4] :
( q(X3,X4)
| ~ r(X3,X4) )
& r(sK88,sK87)
& ! [X5,X6] :
( ~ p1(X5)
| ~ q(X5,X6) )
& ! [X7] :
( ~ s1(X7)
| p1(X7) ) )
| ~ sP4 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK87,sK88,sK89])],[f184,f185]) ).
fof(f185,plain,
( ? [X0,X1,X2] :
( s1(X2)
& s1(X1)
& ! [X3,X4] :
( q(X3,X4)
| ~ r(X3,X4) )
& r(X1,X0)
& ! [X5,X6] :
( ~ p1(X5)
| ~ q(X5,X6) )
& ! [X7] :
( ~ s1(X7)
| p1(X7) ) )
=> ( s1(sK89)
& s1(sK88)
& ! [X3,X4] :
( q(X3,X4)
| ~ r(X3,X4) )
& r(sK88,sK87)
& ! [X5,X6] :
( ~ p1(X5)
| ~ q(X5,X6) )
& ! [X7] :
( ~ s1(X7)
| p1(X7) ) ) ),
introduced(choice_axiom,[]) ).
fof(f184,plain,
( ? [X0,X1,X2] :
( s1(X2)
& s1(X1)
& ! [X3,X4] :
( q(X3,X4)
| ~ r(X3,X4) )
& r(X1,X0)
& ! [X5,X6] :
( ~ p1(X5)
| ~ q(X5,X6) )
& ! [X7] :
( ~ s1(X7)
| p1(X7) ) )
| ~ sP4 ),
inference(rectify,[],[f183]) ).
fof(f183,plain,
( ? [X129,X128,X127] :
( s1(X127)
& s1(X128)
& ! [X131,X130] :
( q(X131,X130)
| ~ r(X131,X130) )
& r(X128,X129)
& ! [X133,X134] :
( ~ p1(X133)
| ~ q(X133,X134) )
& ! [X132] :
( ~ s1(X132)
| p1(X132) ) )
| ~ sP4 ),
inference(nnf_transformation,[],[f11]) ).
fof(f1066,plain,
( ~ spl103_68
| ~ spl103_69
| ~ spl103_37
| spl103_19 ),
inference(avatar_split_clause,[],[f343,f447,f520,f651,f647]) ).
fof(f651,plain,
( spl103_69
<=> q0 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_69])]) ).
fof(f343,plain,
! [X0] :
( ~ p1(X0)
| ~ sP2
| ~ q0
| ~ b0 ),
inference(cnf_transformation,[],[f195]) ).
fof(f195,plain,
( ( ( ( ( ( b0
& ~ b0 )
| ( q0
& ~ q0 ) )
& a0 )
| ! [X0] : ~ p1(X0) )
& p1(sK93) )
| ~ sP2 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK93])],[f193,f194]) ).
fof(f194,plain,
( ? [X1] : p1(X1)
=> p1(sK93) ),
introduced(choice_axiom,[]) ).
fof(f193,plain,
( ( ( ( ( ( b0
& ~ b0 )
| ( q0
& ~ q0 ) )
& a0 )
| ! [X0] : ~ p1(X0) )
& ? [X1] : p1(X1) )
| ~ sP2 ),
inference(rectify,[],[f192]) ).
fof(f192,plain,
( ( ( ( ( ( b0
& ~ b0 )
| ( q0
& ~ q0 ) )
& a0 )
| ! [X110] : ~ p1(X110) )
& ? [X109] : p1(X109) )
| ~ sP2 ),
inference(nnf_transformation,[],[f9]) ).
fof(f1065,plain,
( ~ spl103_28
| spl103_153 ),
inference(avatar_split_clause,[],[f334,f1062,f484]) ).
fof(f334,plain,
( s1(sK89)
| ~ sP4 ),
inference(cnf_transformation,[],[f186]) ).
fof(f1060,plain,
( spl103_61
| ~ spl103_3 ),
inference(avatar_split_clause,[],[f289,f380,f618]) ).
fof(f289,plain,
! [X2] :
( ~ sP12
| p1(X2) ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
( ( ! [X0] :
( ~ p1(X0)
| q1(X0) )
& ( ~ q1(sK73)
| r1(sK73) )
& ! [X2] :
( ~ r1(X2)
& p1(X2) ) )
| ~ sP12 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK73])],[f152,f153]) ).
fof(f153,plain,
( ? [X1] :
( ~ q1(X1)
| r1(X1) )
=> ( ~ q1(sK73)
| r1(sK73) ) ),
introduced(choice_axiom,[]) ).
fof(f152,plain,
( ( ! [X0] :
( ~ p1(X0)
| q1(X0) )
& ? [X1] :
( ~ q1(X1)
| r1(X1) )
& ! [X2] :
( ~ r1(X2)
& p1(X2) ) )
| ~ sP12 ),
inference(rectify,[],[f151]) ).
fof(f151,plain,
( ( ! [X92] :
( ~ p1(X92)
| q1(X92) )
& ? [X93] :
( ~ q1(X93)
| r1(X93) )
& ! [X94] :
( ~ r1(X94)
& p1(X94) ) )
| ~ sP12 ),
inference(nnf_transformation,[],[f19]) ).
fof(f1059,plain,
( spl103_152
| ~ spl103_21 ),
inference(avatar_split_clause,[],[f350,f456,f1057]) ).
fof(f350,plain,
! [X3] :
( ~ sP1
| ~ s(sK94,X3)
| p1(X3) ),
inference(cnf_transformation,[],[f199]) ).
fof(f1055,plain,
( spl103_151
| ~ spl103_27 ),
inference(avatar_split_clause,[],[f213,f480,f1053]) ).
fof(f213,plain,
! [X0] :
( ~ sP38
| ~ p1(sK42(X0)) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
( ! [X0] :
( p1(X0)
& ~ p1(sK42(X0)) )
| ~ sP38 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK42])],[f53,f54]) ).
fof(f54,plain,
! [X0] :
( ? [X1] :
( p1(X0)
& ~ p1(X1) )
=> ( p1(X0)
& ~ p1(sK42(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
( ! [X0] :
? [X1] :
( p1(X0)
& ~ p1(X1) )
| ~ sP38 ),
inference(nnf_transformation,[],[f45]) ).
fof(f1051,plain,
( spl103_16
| spl103_19
| ~ spl103_6 ),
inference(avatar_split_clause,[],[f236,f392,f447,f436]) ).
fof(f236,plain,
! [X2,X3] :
( ~ sP27
| ~ p1(X2)
| r1(X3) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
( ! [X2,X3] :
( p1(sK56)
& ~ r1(sK55)
& ( r1(X3)
| ~ p1(X2) ) )
| ~ sP27 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK55,sK56])],[f94,f95]) ).
fof(f95,plain,
( ? [X0,X1] :
! [X2,X3] :
( p1(X1)
& ~ r1(X0)
& ( r1(X3)
| ~ p1(X2) ) )
=> ! [X3,X2] :
( p1(sK56)
& ~ r1(sK55)
& ( r1(X3)
| ~ p1(X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f94,plain,
( ? [X0,X1] :
! [X2,X3] :
( p1(X1)
& ~ r1(X0)
& ( r1(X3)
| ~ p1(X2) ) )
| ~ sP27 ),
inference(rectify,[],[f93]) ).
fof(f93,plain,
( ? [X69,X68] :
! [X70,X71] :
( p1(X68)
& ~ r1(X69)
& ( r1(X71)
| ~ p1(X70) ) )
| ~ sP27 ),
inference(nnf_transformation,[],[f34]) ).
fof(f1050,plain,
( ~ spl103_55
| spl103_150 ),
inference(avatar_split_clause,[],[f323,f1047,f592]) ).
fof(f323,plain,
( s1(sK85)
| ~ sP5 ),
inference(cnf_transformation,[],[f182]) ).
fof(f1045,plain,
( ~ spl103_53
| spl103_148
| ~ spl103_149 ),
inference(avatar_split_clause,[],[f241,f1042,f1038,f584]) ).
fof(f241,plain,
( ~ a1(sK57)
| b(sK57)
| ~ sP26 ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
( ( ( b(sK57)
| ~ a1(sK57) )
& ! [X1] : ~ b(X1)
& ! [X2] : a1(X2) )
| ~ sP26 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK57])],[f98,f99]) ).
fof(f99,plain,
( ? [X0] :
( b(X0)
| ~ a1(X0) )
=> ( b(sK57)
| ~ a1(sK57) ) ),
introduced(choice_axiom,[]) ).
fof(f98,plain,
( ( ? [X0] :
( b(X0)
| ~ a1(X0) )
& ! [X1] : ~ b(X1)
& ! [X2] : a1(X2) )
| ~ sP26 ),
inference(rectify,[],[f97]) ).
fof(f97,plain,
( ( ? [X24] :
( b(X24)
| ~ a1(X24) )
& ! [X26] : ~ b(X26)
& ! [X25] : a1(X25) )
| ~ sP26 ),
inference(nnf_transformation,[],[f33]) ).
fof(f1036,plain,
( ~ spl103_147
| ~ spl103_51 ),
inference(avatar_split_clause,[],[f295,f576,f1033]) ).
fof(f295,plain,
( ~ sP11
| ~ b(sK74) ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
( ( ! [X0] :
( ~ a1(X0)
| ~ c(X0) )
& ~ b(sK74)
& a1(sK74)
& ! [X2] :
( ~ a1(X2)
| b(X2)
| c(X2) ) )
| ~ sP11 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK74])],[f156,f157]) ).
fof(f157,plain,
( ? [X1] :
( ~ b(X1)
& a1(X1) )
=> ( ~ b(sK74)
& a1(sK74) ) ),
introduced(choice_axiom,[]) ).
fof(f156,plain,
( ( ! [X0] :
( ~ a1(X0)
| ~ c(X0) )
& ? [X1] :
( ~ b(X1)
& a1(X1) )
& ! [X2] :
( ~ a1(X2)
| b(X2)
| c(X2) ) )
| ~ sP11 ),
inference(rectify,[],[f155]) ).
fof(f155,plain,
( ( ! [X43] :
( ~ a1(X43)
| ~ c(X43) )
& ? [X41] :
( ~ b(X41)
& a1(X41) )
& ! [X42] :
( ~ a1(X42)
| b(X42)
| c(X42) ) )
| ~ sP11 ),
inference(nnf_transformation,[],[f18]) ).
fof(f1031,plain,
( ~ spl103_138
| ~ spl103_25
| ~ spl103_137
| spl103_18 ),
inference(avatar_split_clause,[],[f316,f443,f981,f472,f985]) ).
fof(f316,plain,
! [X2] :
( ~ p1(X2)
| ~ r1(sK82)
| ~ q1(X2)
| ~ sP7
| ~ r1(sK81) ),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
( ( ! [X2,X3] :
( ( ~ p1(X2)
& p1(f(X3)) )
| ~ q1(X2)
| ( ( ~ r1(sK82)
| ~ r1(sK81) )
& r1(X3) ) )
& ! [X4] : q1(f(X4)) )
| ~ sP7 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK81,sK82])],[f172,f173]) ).
fof(f173,plain,
( ? [X0,X1] :
( ! [X2,X3] :
( ( ~ p1(X2)
& p1(f(X3)) )
| ~ q1(X2)
| ( ( ~ r1(X1)
| ~ r1(X0) )
& r1(X3) ) )
& ! [X4] : q1(f(X4)) )
=> ( ! [X3,X2] :
( ( ~ p1(X2)
& p1(f(X3)) )
| ~ q1(X2)
| ( ( ~ r1(sK82)
| ~ r1(sK81) )
& r1(X3) ) )
& ! [X4] : q1(f(X4)) ) ),
introduced(choice_axiom,[]) ).
fof(f172,plain,
( ? [X0,X1] :
( ! [X2,X3] :
( ( ~ p1(X2)
& p1(f(X3)) )
| ~ q1(X2)
| ( ( ~ r1(X1)
| ~ r1(X0) )
& r1(X3) ) )
& ! [X4] : q1(f(X4)) )
| ~ sP7 ),
inference(rectify,[],[f171]) ).
fof(f171,plain,
( ? [X122,X123] :
( ! [X126,X125] :
( ( ~ p1(X126)
& p1(f(X125)) )
| ~ q1(X126)
| ( ( ~ r1(X123)
| ~ r1(X122) )
& r1(X125) ) )
& ! [X124] : q1(f(X124)) )
| ~ sP7 ),
inference(nnf_transformation,[],[f14]) ).
fof(f1030,plain,
( ~ spl103_36
| spl103_131 ),
inference(avatar_split_clause,[],[f245,f944,f516]) ).
fof(f245,plain,
! [X1] :
( q1(X1)
| ~ sP24 ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
( ( ~ q1(sK59)
& ! [X1] :
( p1(X1)
& q1(X1) ) )
| ~ sP24 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK59])],[f106,f107]) ).
fof(f107,plain,
( ? [X0] :
( ~ q1(X0)
& ! [X1] :
( p1(X1)
& q1(X1) ) )
=> ( ~ q1(sK59)
& ! [X1] :
( p1(X1)
& q1(X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f106,plain,
( ? [X0] :
( ~ q1(X0)
& ! [X1] :
( p1(X1)
& q1(X1) ) )
| ~ sP24 ),
inference(rectify,[],[f105]) ).
fof(f105,plain,
( ? [X52] :
( ~ q1(X52)
& ! [X53] :
( p1(X53)
& q1(X53) ) )
| ~ sP24 ),
inference(nnf_transformation,[],[f31]) ).
fof(f1028,plain,
( ~ spl103_145
| ~ spl103_146
| ~ spl103_26 ),
inference(avatar_split_clause,[],[f231,f476,f1025,f1021]) ).
fof(f231,plain,
( ~ sP29
| ~ p1(sK53)
| ~ p1(sK52) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
( ( ! [X2] : p1(X2)
& ( ~ p1(sK52)
| ~ p1(sK53) ) )
| ~ sP29 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK52,sK53])],[f86,f87]) ).
fof(f87,plain,
( ? [X0,X1] :
( ! [X2] : p1(X2)
& ( ~ p1(X0)
| ~ p1(X1) ) )
=> ( ! [X2] : p1(X2)
& ( ~ p1(sK52)
| ~ p1(sK53) ) ) ),
introduced(choice_axiom,[]) ).
fof(f86,plain,
( ? [X0,X1] :
( ! [X2] : p1(X2)
& ( ~ p1(X0)
| ~ p1(X1) ) )
| ~ sP29 ),
inference(rectify,[],[f85]) ).
fof(f85,plain,
( ? [X74,X75] :
( ! [X76] : p1(X76)
& ( ~ p1(X74)
| ~ p1(X75) ) )
| ~ sP29 ),
inference(nnf_transformation,[],[f36]) ).
fof(f1019,plain,
( spl103_144
| ~ spl103_33 ),
inference(avatar_split_clause,[],[f340,f504,f1017]) ).
fof(f340,plain,
! [X0,X1] :
( ~ sP3
| ~ a_member_of(sK90(X0,X1),X1)
| ~ a_member_of(sK90(X0,X1),X0)
| eq(X1,X0) ),
inference(cnf_transformation,[],[f191]) ).
fof(f191,plain,
( ( ! [X0,X1] :
( ( eq(X1,X0)
| ( ( ~ a_member_of(sK90(X0,X1),X1)
| ~ a_member_of(sK90(X0,X1),X0) )
& ( a_member_of(sK90(X0,X1),X1)
| a_member_of(sK90(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(X1,X0) ) )
& eq(sK92,sK91)
& ~ eq(sK91,sK92) )
| ~ sP3 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK90,sK91,sK92])],[f188,f190,f189]) ).
fof(f189,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(sK90(X0,X1),X1)
| ~ a_member_of(sK90(X0,X1),X0) )
& ( a_member_of(sK90(X0,X1),X1)
| a_member_of(sK90(X0,X1),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f190,plain,
( ? [X4,X5] :
( eq(X5,X4)
& ~ eq(X4,X5) )
=> ( eq(sK92,sK91)
& ~ eq(sK91,sK92) ) ),
introduced(choice_axiom,[]) ).
fof(f188,plain,
( ( ! [X0,X1] :
( ( eq(X1,X0)
| ? [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(X1,X0) ) )
& ? [X4,X5] :
( eq(X5,X4)
& ~ eq(X4,X5) ) )
| ~ sP3 ),
inference(rectify,[],[f187]) ).
fof(f187,plain,
( ( ! [X48,X47] :
( ( eq(X47,X48)
| ? [X49] :
( ( ~ a_member_of(X49,X47)
| ~ a_member_of(X49,X48) )
& ( a_member_of(X49,X47)
| a_member_of(X49,X48) ) ) )
& ( ! [X49] :
( ( a_member_of(X49,X48)
| ~ a_member_of(X49,X47) )
& ( a_member_of(X49,X47)
| ~ a_member_of(X49,X48) ) )
| ~ eq(X47,X48) ) )
& ? [X50,X51] :
( eq(X51,X50)
& ~ eq(X50,X51) ) )
| ~ sP3 ),
inference(nnf_transformation,[],[f10]) ).
fof(f1014,plain,
( spl103_143
| ~ spl103_21 ),
inference(avatar_split_clause,[],[f349,f456,f1012]) ).
fof(f349,plain,
! [X1] :
( ~ sP1
| ~ e(X1)
| g(X1)
| c(f(X1)) ),
inference(cnf_transformation,[],[f199]) ).
fof(f1008,plain,
( ~ spl103_142
| ~ spl103_6 ),
inference(avatar_split_clause,[],[f237,f392,f1005]) ).
fof(f237,plain,
( ~ sP27
| ~ r1(sK55) ),
inference(cnf_transformation,[],[f96]) ).
fof(f1003,plain,
( ~ spl103_29
| spl103_141 ),
inference(avatar_split_clause,[],[f251,f1000,f488]) ).
fof(f251,plain,
( b(sK61)
| ~ sP22 ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
( ( ! [X0] :
( ~ b(X0)
& ~ a1(X0) )
& b(sK61) )
| ~ sP22 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK61])],[f114,f115]) ).
fof(f115,plain,
( ? [X1] : b(X1)
=> b(sK61) ),
introduced(choice_axiom,[]) ).
fof(f114,plain,
( ( ! [X0] :
( ~ b(X0)
& ~ a1(X0) )
& ? [X1] : b(X1) )
| ~ sP22 ),
inference(rectify,[],[f113]) ).
fof(f113,plain,
( ( ! [X104] :
( ~ b(X104)
& ~ a1(X104) )
& ? [X103] : b(X103) )
| ~ sP22 ),
inference(nnf_transformation,[],[f29]) ).
fof(f998,plain,
( ~ spl103_38
| spl103_19 ),
inference(avatar_split_clause,[],[f229,f447,f524]) ).
fof(f229,plain,
! [X1] :
( ~ p1(X1)
| ~ sP30 ),
inference(cnf_transformation,[],[f84]) ).
fof(f997,plain,
( spl103_16
| ~ spl103_48
| spl103_18 ),
inference(avatar_split_clause,[],[f262,f443,f564,f436]) ).
fof(f262,plain,
! [X2,X3] :
( ~ q1(X2)
| ~ sP19
| ~ p1(X2)
| r1(X3) ),
inference(cnf_transformation,[],[f129]) ).
fof(f996,plain,
( spl103_140
| ~ spl103_53 ),
inference(avatar_split_clause,[],[f239,f584,f994]) ).
fof(f239,plain,
! [X2] :
( ~ sP26
| a1(X2) ),
inference(cnf_transformation,[],[f100]) ).
fof(f992,plain,
( ~ spl103_28
| spl103_139 ),
inference(avatar_split_clause,[],[f329,f990,f484]) ).
fof(f329,plain,
! [X7] :
( p1(X7)
| ~ s1(X7)
| ~ sP4 ),
inference(cnf_transformation,[],[f186]) ).
fof(f988,plain,
( ~ spl103_25
| ~ spl103_137
| spl103_77
| ~ spl103_138
| spl103_96 ),
inference(avatar_split_clause,[],[f314,f778,f985,f689,f981,f472]) ).
fof(f314,plain,
! [X2,X3] :
( p1(f(X3))
| ~ r1(sK81)
| ~ q1(X2)
| ~ r1(sK82)
| ~ sP7 ),
inference(cnf_transformation,[],[f174]) ).
fof(f979,plain,
( ~ spl103_51
| spl103_136 ),
inference(avatar_split_clause,[],[f294,f976,f576]) ).
fof(f294,plain,
( a1(sK74)
| ~ sP11 ),
inference(cnf_transformation,[],[f158]) ).
fof(f974,plain,
( ~ spl103_43
| ~ spl103_92 ),
inference(avatar_split_clause,[],[f265,f755,f544]) ).
fof(f265,plain,
( ~ a0
| ~ sP18 ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
( ( ~ b0
& ( ~ b0
| ~ a0 )
& ( b0
| a0 )
& ~ a0 )
| ~ sP18 ),
inference(flattening,[],[f130]) ).
fof(f130,plain,
( ( ~ b0
& ( ~ b0
| ~ a0 )
& ( b0
| a0 )
& ~ a0 )
| ~ sP18 ),
inference(nnf_transformation,[],[f25]) ).
fof(f973,plain,
( ~ spl103_33
| spl103_135 ),
inference(avatar_split_clause,[],[f339,f971,f504]) ).
fof(f339,plain,
! [X0,X1] :
( a_member_of(sK90(X0,X1),X1)
| eq(X1,X0)
| ~ sP3
| a_member_of(sK90(X0,X1),X0) ),
inference(cnf_transformation,[],[f191]) ).
fof(f969,plain,
( spl103_61
| ~ spl103_14 ),
inference(avatar_split_clause,[],[f259,f428,f618]) ).
fof(f259,plain,
! [X0] :
( ~ sP20
| p1(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
( ( ! [X0] :
( q1(sK63(X0))
& p1(X0) )
& ! [X2] :
( ~ r1(X2)
& ~ p1(sK64(X2)) ) )
| ~ sP20 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK63,sK64])],[f122,f124,f123]) ).
fof(f123,plain,
! [X0] :
( ? [X1] :
( q1(X1)
& p1(X0) )
=> ( q1(sK63(X0))
& p1(X0) ) ),
introduced(choice_axiom,[]) ).
fof(f124,plain,
! [X2] :
( ? [X3] :
( ~ r1(X2)
& ~ p1(X3) )
=> ( ~ r1(X2)
& ~ p1(sK64(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f122,plain,
( ( ! [X0] :
? [X1] :
( q1(X1)
& p1(X0) )
& ! [X2] :
? [X3] :
( ~ r1(X2)
& ~ p1(X3) ) )
| ~ sP20 ),
inference(rectify,[],[f121]) ).
fof(f121,plain,
( ( ! [X29] :
? [X30] :
( q1(X30)
& p1(X29) )
& ! [X31] :
? [X32] :
( ~ r1(X31)
& ~ p1(X32) ) )
| ~ sP20 ),
inference(nnf_transformation,[],[f27]) ).
fof(f968,plain,
( ~ spl103_28
| spl103_134 ),
inference(avatar_split_clause,[],[f333,f965,f484]) ).
fof(f333,plain,
( s1(sK88)
| ~ sP4 ),
inference(cnf_transformation,[],[f186]) ).
fof(f963,plain,
( spl103_108
| ~ spl103_2 ),
inference(avatar_split_clause,[],[f309,f375,f835]) ).
fof(f309,plain,
! [X3] :
( ~ sP8
| p1(X3)
| q1(X3) ),
inference(cnf_transformation,[],[f170]) ).
fof(f170,plain,
( ( ! [X2] :
( ~ q1(X2)
| p1(X2) )
& ! [X3] :
( ( q1(X3)
& ~ p1(sK80) )
| ( ~ p1(sK79)
& p1(X3) ) ) )
| ~ sP8 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK79,sK80])],[f168,f169]) ).
fof(f169,plain,
( ? [X0,X1] :
( ! [X2] :
( ~ q1(X2)
| p1(X2) )
& ! [X3] :
( ( q1(X3)
& ~ p1(X1) )
| ( ~ p1(X0)
& p1(X3) ) ) )
=> ( ! [X2] :
( ~ q1(X2)
| p1(X2) )
& ! [X3] :
( ( q1(X3)
& ~ p1(sK80) )
| ( ~ p1(sK79)
& p1(X3) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f168,plain,
( ? [X0,X1] :
( ! [X2] :
( ~ q1(X2)
| p1(X2) )
& ! [X3] :
( ( q1(X3)
& ~ p1(X1) )
| ( ~ p1(X0)
& p1(X3) ) ) )
| ~ sP8 ),
inference(rectify,[],[f167]) ).
fof(f167,plain,
( ? [X105,X106] :
( ! [X107] :
( ~ q1(X107)
| p1(X107) )
& ! [X108] :
( ( q1(X108)
& ~ p1(X106) )
| ( ~ p1(X105)
& p1(X108) ) ) )
| ~ sP8 ),
inference(nnf_transformation,[],[f15]) ).
fof(f962,plain,
( ~ spl103_28
| spl103_133 ),
inference(avatar_split_clause,[],[f330,f960,f484]) ).
fof(f330,plain,
! [X6,X5] :
( ~ p1(X5)
| ~ sP4
| ~ q(X5,X6) ),
inference(cnf_transformation,[],[f186]) ).
fof(f957,plain,
( ~ spl103_26
| spl103_61 ),
inference(avatar_split_clause,[],[f232,f618,f476]) ).
fof(f232,plain,
! [X2] :
( p1(X2)
| ~ sP29 ),
inference(cnf_transformation,[],[f88]) ).
fof(f956,plain,
( spl103_60
| ~ spl103_29 ),
inference(avatar_split_clause,[],[f253,f488,f614]) ).
fof(f253,plain,
! [X0] :
( ~ sP22
| ~ b(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f955,plain,
( spl103_68
| spl103_69
| spl103_19
| ~ spl103_37 ),
inference(avatar_split_clause,[],[f346,f520,f447,f651,f647]) ).
fof(f346,plain,
! [X0] :
( ~ sP2
| ~ p1(X0)
| q0
| b0 ),
inference(cnf_transformation,[],[f195]) ).
fof(f954,plain,
( ~ spl103_13
| spl103_108 ),
inference(avatar_split_clause,[],[f306,f835,f423]) ).
fof(f306,plain,
! [X2] :
( p1(X2)
| ~ sP9
| q1(X2) ),
inference(cnf_transformation,[],[f166]) ).
fof(f166,plain,
( ( ! [X2] :
( ( p1(X2)
& ~ p1(sK78) )
| ( q1(X2)
& ~ p1(sK77) ) )
& ! [X3] :
( ~ q1(X3)
| p1(X3) ) )
| ~ sP9 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK77,sK78])],[f164,f165]) ).
fof(f165,plain,
( ? [X0,X1] :
( ! [X2] :
( ( p1(X2)
& ~ p1(X1) )
| ( q1(X2)
& ~ p1(X0) ) )
& ! [X3] :
( ~ q1(X3)
| p1(X3) ) )
=> ( ! [X2] :
( ( p1(X2)
& ~ p1(sK78) )
| ( q1(X2)
& ~ p1(sK77) ) )
& ! [X3] :
( ~ q1(X3)
| p1(X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f164,plain,
( ? [X0,X1] :
( ! [X2] :
( ( p1(X2)
& ~ p1(X1) )
| ( q1(X2)
& ~ p1(X0) ) )
& ! [X3] :
( ~ q1(X3)
| p1(X3) ) )
| ~ sP9 ),
inference(rectify,[],[f163]) ).
fof(f163,plain,
( ? [X80,X79] :
( ! [X82] :
( ( p1(X82)
& ~ p1(X79) )
| ( q1(X82)
& ~ p1(X80) ) )
& ! [X81] :
( ~ q1(X81)
| p1(X81) ) )
| ~ sP9 ),
inference(nnf_transformation,[],[f16]) ).
fof(f953,plain,
( spl103_72
| ~ spl103_55 ),
inference(avatar_split_clause,[],[f325,f592,f665]) ).
fof(f325,plain,
! [X4,X5] :
( ~ sP5
| q(X4,X5)
| ~ r(X4,X5) ),
inference(cnf_transformation,[],[f182]) ).
fof(f952,plain,
( ~ spl103_39
| spl103_1 ),
inference(avatar_split_clause,[],[f297,f372,f528]) ).
fof(f297,plain,
! [X3] :
( ~ q1(X3)
| p1(X3)
| ~ sP10 ),
inference(cnf_transformation,[],[f162]) ).
fof(f162,plain,
( ( ! [X2] :
( ( ~ p1(sK75)
& p1(X2) )
| ( ~ p1(sK76)
& q1(X2) ) )
& ! [X3] :
( p1(X3)
| ~ q1(X3) ) )
| ~ sP10 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK75,sK76])],[f160,f161]) ).
fof(f161,plain,
( ? [X0,X1] :
( ! [X2] :
( ( ~ p1(X0)
& p1(X2) )
| ( ~ p1(X1)
& q1(X2) ) )
& ! [X3] :
( p1(X3)
| ~ q1(X3) ) )
=> ( ! [X2] :
( ( ~ p1(sK75)
& p1(X2) )
| ( ~ p1(sK76)
& q1(X2) ) )
& ! [X3] :
( p1(X3)
| ~ q1(X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f160,plain,
( ? [X0,X1] :
( ! [X2] :
( ( ~ p1(X0)
& p1(X2) )
| ( ~ p1(X1)
& q1(X2) ) )
& ! [X3] :
( p1(X3)
| ~ q1(X3) ) )
| ~ sP10 ),
inference(rectify,[],[f159]) ).
fof(f159,plain,
( ? [X136,X135] :
( ! [X138] :
( ( ~ p1(X136)
& p1(X138) )
| ( ~ p1(X135)
& q1(X138) ) )
& ! [X137] :
( p1(X137)
| ~ q1(X137) ) )
| ~ sP10 ),
inference(nnf_transformation,[],[f17]) ).
fof(f951,plain,
( spl103_132
| ~ spl103_55 ),
inference(avatar_split_clause,[],[f326,f592,f948]) ).
fof(f326,plain,
( ~ sP5
| s1(sK86) ),
inference(cnf_transformation,[],[f182]) ).
fof(f937,plain,
( ~ spl103_39
| ~ spl103_128
| ~ spl103_129 ),
inference(avatar_split_clause,[],[f301,f934,f930,f528]) ).
fof(f301,plain,
( ~ p1(sK76)
| ~ p1(sK75)
| ~ sP10 ),
inference(cnf_transformation,[],[f162]) ).
fof(f928,plain,
( ~ spl103_46
| spl103_127 ),
inference(avatar_split_clause,[],[f226,f925,f556]) ).
fof(f226,plain,
( p1(sK50)
| ~ sP32 ),
inference(cnf_transformation,[],[f78]) ).
fof(f923,plain,
( spl103_126
| ~ spl103_52 ),
inference(avatar_split_clause,[],[f269,f580,f921]) ).
fof(f269,plain,
! [X2,X3] :
( ~ sP17
| ~ q(X2,X3)
| ~ p(X2,X3) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
( ( ! [X1] :
( ( ~ r1(X1)
& r1(sK67) )
| p(f(X1),X1) )
& ! [X2,X3] :
( ~ p(X2,X3)
| ( q(f(sK67),sK67)
& ~ q(X2,X3) ) ) )
| ~ sP17 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK67])],[f133,f134]) ).
fof(f134,plain,
( ? [X0] :
( ! [X1] :
( ( ~ r1(X1)
& r1(X0) )
| p(f(X1),X1) )
& ! [X2,X3] :
( ~ p(X2,X3)
| ( q(f(X0),X0)
& ~ q(X2,X3) ) ) )
=> ( ! [X1] :
( ( ~ r1(X1)
& r1(sK67) )
| p(f(X1),X1) )
& ! [X3,X2] :
( ~ p(X2,X3)
| ( q(f(sK67),sK67)
& ~ q(X2,X3) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f133,plain,
( ? [X0] :
( ! [X1] :
( ( ~ r1(X1)
& r1(X0) )
| p(f(X1),X1) )
& ! [X2,X3] :
( ~ p(X2,X3)
| ( q(f(X0),X0)
& ~ q(X2,X3) ) ) )
| ~ sP17 ),
inference(rectify,[],[f132]) ).
fof(f132,plain,
( ? [X11] :
( ! [X12] :
( ( ~ r1(X12)
& r1(X11) )
| p(f(X12),X12) )
& ! [X14,X13] :
( ~ p(X14,X13)
| ( q(f(X11),X11)
& ~ q(X14,X13) ) ) )
| ~ sP17 ),
inference(nnf_transformation,[],[f24]) ).
fof(f919,plain,
( spl103_30
| spl103_44
| spl103_40
| spl103_46
| spl103_51
| spl103_28
| spl103_17
| spl103_29
| spl103_37
| spl103_26
| spl103_48
| spl103_32
| spl103_19
| ~ spl103_45
| spl103_56
| spl103_33
| spl103_49
| spl103_55
| spl103_13
| spl103_52
| spl103_23
| spl103_3
| spl103_35
| spl103_47
| spl103_65
| spl103_6
| spl103_31
| spl103_8
| spl103_39
| spl103_20
| spl103_2
| spl103_27
| spl103_53
| spl103_41
| spl103_25
| spl103_14
| spl103_65
| spl103_9
| spl103_36
| spl103_11
| spl103_38
| spl103_43
| spl103_50
| spl103_21 ),
inference(avatar_split_clause,[],[f366,f456,f572,f544,f524,f414,f516,f406,f635,f428,f472,f536,f584,f480,f375,f451,f528,f401,f496,f392,f635,f560,f512,f380,f464,f580,f423,f592,f568,f504,f596,f552,f447,f500,f564,f476,f520,f488,f439,f484,f576,f556,f532,f548,f492]) ).
fof(f366,plain,
! [X3,X8,X6,X7,X5] :
( sP1
| sP35
| sP18
| sP30
| sP13
| sP24
| sP34
| ~ a(X5,X6)
| sP20
| sP7
| sP39
| sP26
| sP38
| sP8
| sP23
| sP10
| sP31
| sP33
| sP27
| ~ a(X7,X8)
| sP15
| sP0
| sP12
| sP25
| sP17
| sP9
| sP5
| sP14
| sP3
| sP37
| ~ p(sK97,sK97)
| ~ p1(X3)
| sP21
| sP19
| sP29
| sP2
| sP22
| sP16
| sP4
| sP11
| sP32
| sP28
| sP36
| sP6 ),
inference(cnf_transformation,[],[f210]) ).
fof(f918,plain,
( ~ spl103_47
| spl103_92 ),
inference(avatar_split_clause,[],[f278,f755,f560]) ).
fof(f278,plain,
( a0
| ~ sP15 ),
inference(cnf_transformation,[],[f141]) ).
fof(f908,plain,
( spl103_123
| ~ spl103_56 ),
inference(avatar_split_clause,[],[f215,f596,f906]) ).
fof(f215,plain,
! [X3] :
( ~ sP37
| ~ p(X3,sK44) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
( ( ! [X1] : p(sK43,X1)
& ! [X3] : ~ p(X3,sK44) )
| ~ sP37 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK43,sK44])],[f57,f59,f58]) ).
fof(f58,plain,
( ? [X0] :
! [X1] : p(X0,X1)
=> ! [X1] : p(sK43,X1) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
( ? [X2] :
! [X3] : ~ p(X3,X2)
=> ! [X3] : ~ p(X3,sK44) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
( ( ? [X0] :
! [X1] : p(X0,X1)
& ? [X2] :
! [X3] : ~ p(X3,X2) )
| ~ sP37 ),
inference(rectify,[],[f56]) ).
fof(f56,plain,
( ( ? [X95] :
! [X96] : p(X95,X96)
& ? [X97] :
! [X98] : ~ p(X98,X97) )
| ~ sP37 ),
inference(nnf_transformation,[],[f44]) ).
fof(f904,plain,
( spl103_21
| spl103_20
| spl103_43
| spl103_40
| spl103_50
| spl103_34
| spl103_63
| spl103_8
| spl103_3
| spl103_30
| spl103_36
| spl103_14
| spl103_49
| spl103_41
| spl103_65
| spl103_39
| spl103_37
| spl103_55
| spl103_33
| spl103_9
| spl103_47
| spl103_65
| spl103_56
| spl103_53
| spl103_17
| spl103_31
| spl103_29
| spl103_25
| spl103_27
| spl103_26
| spl103_28
| spl103_13
| spl103_2
| spl103_48
| spl103_23
| spl103_46
| spl103_35
| spl103_6
| spl103_11
| spl103_44
| spl103_52
| spl103_51
| spl103_32
| spl103_38 ),
inference(avatar_split_clause,[],[f368,f524,f500,f576,f580,f548,f414,f392,f512,f556,f464,f564,f375,f423,f484,f476,f480,f472,f488,f496,f439,f584,f596,f635,f560,f406,f504,f592,f520,f528,f635,f536,f568,f428,f516,f492,f380,f401,f626,f508,f572,f532,f544,f451,f456]) ).
fof(f368,plain,
! [X0,X1,X8,X6,X7,X5] :
( sP30
| sP21
| sP11
| sP17
| sP36
| sP13
| sP27
| sP0
| sP32
| sP25
| sP19
| sP8
| sP9
| sP4
| sP29
| sP38
| sP7
| sP22
| sP33
| sP16
| sP26
| sP37
| ~ a(X5,X6)
| sP15
| sP34
| sP3
| sP5
| sP2
| sP10
| ~ a(X7,X8)
| sP39
| sP14
| sP20
| sP24
| sP6
| sP12
| sP31
| p(X1,X0)
| p1(sK98)
| sP35
| sP28
| sP18
| sP23
| sP1 ),
inference(cnf_transformation,[],[f210]) ).
fof(f903,plain,
( spl103_122
| ~ spl103_32 ),
inference(avatar_split_clause,[],[f256,f500,f901]) ).
fof(f256,plain,
! [X0] :
( ~ sP21
| a(sK62(X0),sK62(X0)) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
( ( ! [X0] :
( a(sK62(X0),sK62(X0))
& a(X0,sK62(X0)) )
& ! [X2] : ~ a(X2,X2) )
| ~ sP21 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK62])],[f118,f119]) ).
fof(f119,plain,
! [X0] :
( ? [X1] :
( a(X1,X1)
& a(X0,X1) )
=> ( a(sK62(X0),sK62(X0))
& a(X0,sK62(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f118,plain,
( ( ! [X0] :
? [X1] :
( a(X1,X1)
& a(X0,X1) )
& ! [X2] : ~ a(X2,X2) )
| ~ sP21 ),
inference(rectify,[],[f117]) ).
fof(f117,plain,
( ( ! [X18] :
? [X19] :
( a(X19,X19)
& a(X18,X19) )
& ! [X20] : ~ a(X20,X20) )
| ~ sP21 ),
inference(nnf_transformation,[],[f28]) ).
fof(f899,plain,
( ~ spl103_120
| ~ spl103_31
| ~ spl103_121 ),
inference(avatar_split_clause,[],[f224,f896,f496,f892]) ).
fof(f224,plain,
( ~ p1(sK49)
| ~ sP33
| ~ p1(sK48) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
( ( ( ~ p1(sK49)
| ~ p1(sK48) )
& ! [X2] : p1(X2) )
| ~ sP33 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK48,sK49])],[f72,f73]) ).
fof(f73,plain,
( ? [X0,X1] :
( ~ p1(X1)
| ~ p1(X0) )
=> ( ~ p1(sK49)
| ~ p1(sK48) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
( ( ? [X0,X1] :
( ~ p1(X1)
| ~ p1(X0) )
& ! [X2] : p1(X2) )
| ~ sP33 ),
inference(rectify,[],[f71]) ).
fof(f71,plain,
( ( ? [X4,X3] :
( ~ p1(X3)
| ~ p1(X4) )
& ! [X2] : p1(X2) )
| ~ sP33 ),
inference(nnf_transformation,[],[f40]) ).
fof(f890,plain,
( spl103_118
| spl103_119
| ~ spl103_52 ),
inference(avatar_split_clause,[],[f271,f580,f888,f884]) ).
fof(f271,plain,
! [X1] :
( ~ sP17
| p(f(X1),X1)
| r1(sK67) ),
inference(cnf_transformation,[],[f135]) ).
fof(f882,plain,
( ~ spl103_68
| ~ spl103_43 ),
inference(avatar_split_clause,[],[f268,f544,f647]) ).
fof(f268,plain,
( ~ sP18
| ~ b0 ),
inference(cnf_transformation,[],[f131]) ).
fof(f881,plain,
( spl103_53
| spl103_6
| spl103_21
| spl103_46
| spl103_25
| spl103_20
| spl103_52
| spl103_8
| spl103_35
| spl103_54
| spl103_50
| spl103_44
| spl103_39
| spl103_19
| spl103_36
| spl103_47
| spl103_28
| spl103_48
| ~ spl103_45
| spl103_17
| spl103_11
| spl103_23
| spl103_56
| spl103_38
| spl103_40
| spl103_14
| spl103_13
| spl103_29
| spl103_30
| spl103_51
| spl103_9
| spl103_26
| spl103_37
| spl103_31
| spl103_43
| spl103_41
| spl103_42
| spl103_32
| spl103_2
| spl103_49
| spl103_55
| spl103_33
| spl103_3
| spl103_27 ),
inference(avatar_split_clause,[],[f365,f480,f380,f504,f592,f568,f375,f500,f540,f536,f544,f496,f520,f476,f406,f576,f492,f488,f423,f428,f532,f524,f596,f464,f414,f439,f552,f564,f484,f560,f516,f447,f528,f548,f572,f588,f512,f401,f580,f451,f472,f556,f456,f392,f584]) ).
fof(f365,plain,
! [X3] :
( sP38
| sP12
| sP3
| sP5
| sP14
| sP8
| sP21
| a(sK99,sK100)
| sP39
| sP18
| sP33
| sP2
| sP29
| sP34
| sP11
| sP6
| sP22
| sP9
| sP20
| sP28
| sP30
| sP37
| sP25
| sP13
| sP16
| ~ p(sK97,sK97)
| sP19
| sP4
| sP15
| sP24
| ~ p1(X3)
| sP10
| sP36
| sP35
| a(sK101,sK102)
| sP0
| sP31
| sP17
| sP23
| sP7
| sP32
| sP1
| sP27
| sP26 ),
inference(cnf_transformation,[],[f210]) ).
fof(f880,plain,
( ~ spl103_21
| spl103_117 ),
inference(avatar_split_clause,[],[f347,f878,f456]) ).
fof(f347,plain,
! [X4] :
( g(X4)
| ~ sP1
| s(X4,f(X4))
| ~ e(X4) ),
inference(cnf_transformation,[],[f199]) ).
fof(f876,plain,
( ~ spl103_11
| spl103_116 ),
inference(avatar_split_clause,[],[f286,f873,f414]) ).
fof(f286,plain,
( r1(sK72)
| ~ sP13 ),
inference(cnf_transformation,[],[f150]) ).
fof(f867,plain,
( ~ spl103_47
| spl103_68 ),
inference(avatar_split_clause,[],[f277,f647,f560]) ).
fof(f277,plain,
( b0
| ~ sP15 ),
inference(cnf_transformation,[],[f141]) ).
fof(f866,plain,
( ~ spl103_114
| ~ spl103_33 ),
inference(avatar_split_clause,[],[f335,f504,f863]) ).
fof(f335,plain,
( ~ sP3
| ~ eq(sK91,sK92) ),
inference(cnf_transformation,[],[f191]) ).
fof(f861,plain,
( ~ spl103_36
| ~ spl103_113 ),
inference(avatar_split_clause,[],[f247,f858,f516]) ).
fof(f247,plain,
( ~ q1(sK59)
| ~ sP24 ),
inference(cnf_transformation,[],[f108]) ).
fof(f856,plain,
( ~ spl103_13
| ~ spl103_111
| ~ spl103_112 ),
inference(avatar_split_clause,[],[f303,f853,f849,f423]) ).
fof(f303,plain,
( ~ p1(sK77)
| ~ p1(sK78)
| ~ sP9 ),
inference(cnf_transformation,[],[f166]) ).
fof(f846,plain,
( spl103_110
| ~ spl103_23 ),
inference(avatar_split_clause,[],[f244,f464,f844]) ).
fof(f244,plain,
! [X0] :
( ~ sP25
| b(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
( ( ! [X0] : b(X0)
& a1(sK58)
& ! [X2] :
( ~ b(X2)
| ~ a1(X2) ) )
| ~ sP25 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK58])],[f102,f103]) ).
fof(f103,plain,
( ? [X1] : a1(X1)
=> a1(sK58) ),
introduced(choice_axiom,[]) ).
fof(f102,plain,
( ( ! [X0] : b(X0)
& ? [X1] : a1(X1)
& ! [X2] :
( ~ b(X2)
| ~ a1(X2) ) )
| ~ sP25 ),
inference(rectify,[],[f101]) ).
fof(f101,plain,
( ( ! [X22] : b(X22)
& ? [X21] : a1(X21)
& ! [X23] :
( ~ b(X23)
| ~ a1(X23) ) )
| ~ sP25 ),
inference(nnf_transformation,[],[f32]) ).
fof(f842,plain,
( spl103_109
| ~ spl103_14 ),
inference(avatar_split_clause,[],[f257,f428,f840]) ).
fof(f257,plain,
! [X2] :
( ~ sP20
| ~ p1(sK64(X2)) ),
inference(cnf_transformation,[],[f125]) ).
fof(f838,plain,
( ~ spl103_27
| spl103_61 ),
inference(avatar_split_clause,[],[f214,f618,f480]) ).
fof(f214,plain,
! [X0] :
( p1(X0)
| ~ sP38 ),
inference(cnf_transformation,[],[f55]) ).
fof(f837,plain,
( spl103_108
| ~ spl103_39 ),
inference(avatar_split_clause,[],[f298,f528,f835]) ).
fof(f298,plain,
! [X2] :
( ~ sP10
| q1(X2)
| p1(X2) ),
inference(cnf_transformation,[],[f162]) ).
fof(f833,plain,
( spl103_20
| spl103_8
| spl103_11
| spl103_51
| spl103_14
| spl103_42
| spl103_48
| spl103_27
| spl103_47
| spl103_19
| spl103_26
| spl103_9
| spl103_29
| spl103_32
| spl103_54
| spl103_53
| spl103_43
| spl103_56
| spl103_52
| spl103_39
| spl103_17
| spl103_37
| spl103_55
| spl103_46
| spl103_40
| spl103_49
| spl103_2
| spl103_6
| spl103_31
| spl103_50
| spl103_28
| spl103_36
| spl103_13
| spl103_23
| spl103_21
| spl103_41
| spl103_63
| spl103_38
| spl103_44
| spl103_25
| spl103_33
| spl103_35
| spl103_3
| spl103_30 ),
inference(avatar_split_clause,[],[f369,f492,f380,f512,f504,f472,f548,f524,f626,f536,f456,f464,f423,f516,f484,f572,f496,f392,f375,f568,f532,f556,f592,f520,f439,f528,f580,f596,f544,f584,f588,f500,f488,f406,f476,f447,f560,f480,f564,f540,f428,f576,f414,f401,f451]) ).
fof(f369,plain,
! [X3,X0,X1] :
( sP6
| sP12
| sP0
| sP3
| sP7
| sP36
| sP30
| p(X1,X0)
| sP39
| sP1
| sP25
| sP9
| sP24
| sP4
| sP35
| sP33
| sP27
| sP8
| sP14
| sP28
| sP32
| sP5
| sP2
| sP16
| sP10
| sP17
| sP37
| sP18
| sP26
| a(sK101,sK102)
| sP21
| sP22
| sP34
| sP29
| ~ p1(X3)
| sP15
| sP38
| sP19
| a(sK99,sK100)
| sP20
| sP11
| sP13
| sP31
| sP23 ),
inference(cnf_transformation,[],[f210]) ).
fof(f832,plain,
( ~ spl103_35
| ~ spl103_107 ),
inference(avatar_split_clause,[],[f356,f829,f512]) ).
fof(f356,plain,
( ~ p(sK95,sK96)
| ~ sP0 ),
inference(cnf_transformation,[],[f203]) ).
fof(f203,plain,
( ! [X2,X3] :
( r1(sK96)
& ( p(X2,X3)
| ~ s1(sK95) )
& ( ~ q1(X2)
| p(X2,sK95) )
& ( ~ r1(X3)
| p(sK96,X3) )
& q1(sK95)
& r1(sK95)
& ~ p(sK95,sK96)
& s1(sK95)
& q1(sK96) )
| ~ sP0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK95,sK96])],[f201,f202]) ).
fof(f202,plain,
( ? [X0,X1] :
! [X2,X3] :
( r1(X1)
& ( p(X2,X3)
| ~ s1(X0) )
& ( ~ q1(X2)
| p(X2,X0) )
& ( ~ r1(X3)
| p(X1,X3) )
& q1(X0)
& r1(X0)
& ~ p(X0,X1)
& s1(X0)
& q1(X1) )
=> ! [X3,X2] :
( r1(sK96)
& ( p(X2,X3)
| ~ s1(sK95) )
& ( ~ q1(X2)
| p(X2,sK95) )
& ( ~ r1(X3)
| p(sK96,X3) )
& q1(sK95)
& r1(sK95)
& ~ p(sK95,sK96)
& s1(sK95)
& q1(sK96) ) ),
introduced(choice_axiom,[]) ).
fof(f201,plain,
( ? [X0,X1] :
! [X2,X3] :
( r1(X1)
& ( p(X2,X3)
| ~ s1(X0) )
& ( ~ q1(X2)
| p(X2,X0) )
& ( ~ r1(X3)
| p(X1,X3) )
& q1(X0)
& r1(X0)
& ~ p(X0,X1)
& s1(X0)
& q1(X1) )
| ~ sP0 ),
inference(rectify,[],[f200]) ).
fof(f200,plain,
( ? [X86,X85] :
! [X88,X87] :
( r1(X85)
& ( p(X88,X87)
| ~ s1(X86) )
& ( ~ q1(X88)
| p(X88,X86) )
& ( ~ r1(X87)
| p(X85,X87) )
& q1(X86)
& r1(X86)
& ~ p(X86,X85)
& s1(X86)
& q1(X85) )
| ~ sP0 ),
inference(nnf_transformation,[],[f7]) ).
fof(f827,plain,
( ~ spl103_83
| ~ spl103_50 ),
inference(avatar_split_clause,[],[f219,f572,f715]) ).
fof(f715,plain,
( spl103_83
<=> p1(z) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_83])]) ).
fof(f219,plain,
( ~ sP35
| ~ p1(z) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
( ( p1(z)
& ~ p1(z) )
| ~ sP35 ),
inference(nnf_transformation,[],[f42]) ).
fof(f826,plain,
( ~ spl103_51
| spl103_106 ),
inference(avatar_split_clause,[],[f293,f824,f576]) ).
fof(f293,plain,
! [X2] :
( b(X2)
| ~ a1(X2)
| ~ sP11
| c(X2) ),
inference(cnf_transformation,[],[f158]) ).
fof(f822,plain,
( spl103_68
| spl103_92
| ~ spl103_43 ),
inference(avatar_split_clause,[],[f266,f544,f755,f647]) ).
fof(f266,plain,
( ~ sP18
| a0
| b0 ),
inference(cnf_transformation,[],[f131]) ).
fof(f821,plain,
( spl103_57
| ~ spl103_17 ),
inference(avatar_split_clause,[],[f276,f439,f601]) ).
fof(f276,plain,
! [X2] :
( ~ sP16
| q1(f(X2)) ),
inference(cnf_transformation,[],[f139]) ).
fof(f820,plain,
( ~ spl103_52
| spl103_104
| spl103_105 ),
inference(avatar_split_clause,[],[f270,f818,f814,f580]) ).
fof(f270,plain,
! [X2,X3] :
( ~ p(X2,X3)
| q(f(sK67),sK67)
| ~ sP17 ),
inference(cnf_transformation,[],[f135]) ).
fof(f812,plain,
( ~ spl103_3
| ~ spl103_102
| spl103_103 ),
inference(avatar_split_clause,[],[f291,f809,f805,f380]) ).
fof(f291,plain,
( r1(sK73)
| ~ q1(sK73)
| ~ sP12 ),
inference(cnf_transformation,[],[f154]) ).
fof(f803,plain,
( ~ spl103_32
| spl103_101 ),
inference(avatar_split_clause,[],[f254,f801,f500]) ).
fof(f254,plain,
! [X2] :
( ~ a(X2,X2)
| ~ sP21 ),
inference(cnf_transformation,[],[f120]) ).
fof(f795,plain,
( ~ spl103_69
| spl103_68
| ~ spl103_37
| spl103_19 ),
inference(avatar_split_clause,[],[f345,f447,f520,f647,f651]) ).
fof(f345,plain,
! [X0] :
( ~ p1(X0)
| ~ sP2
| b0
| ~ q0 ),
inference(cnf_transformation,[],[f195]) ).
fof(f794,plain,
( ~ spl103_51
| spl103_99 ),
inference(avatar_split_clause,[],[f296,f792,f576]) ).
fof(f296,plain,
! [X0] :
( ~ a1(X0)
| ~ c(X0)
| ~ sP11 ),
inference(cnf_transformation,[],[f158]) ).
fof(f790,plain,
( ~ spl103_21
| spl103_98 ),
inference(avatar_split_clause,[],[f348,f787,f456]) ).
fof(f348,plain,
( e(sK94)
| ~ sP1 ),
inference(cnf_transformation,[],[f199]) ).
fof(f785,plain,
( spl103_97
| ~ spl103_21 ),
inference(avatar_split_clause,[],[f353,f456,f782]) ).
fof(f353,plain,
( ~ sP1
| p1(sK94) ),
inference(cnf_transformation,[],[f199]) ).
fof(f780,plain,
( spl103_96
| spl103_77
| ~ spl103_48 ),
inference(avatar_split_clause,[],[f264,f564,f689,f778]) ).
fof(f264,plain,
! [X2,X3] :
( ~ sP19
| ~ q1(X2)
| p1(f(X3)) ),
inference(cnf_transformation,[],[f129]) ).
fof(f776,plain,
( spl103_95
| ~ spl103_40 ),
inference(avatar_split_clause,[],[f235,f532,f773]) ).
fof(f235,plain,
( ~ sP28
| a1(sK54) ),
inference(cnf_transformation,[],[f92]) ).
fof(f767,plain,
( spl103_93
| ~ spl103_49 ),
inference(avatar_split_clause,[],[f283,f568,f765]) ).
fof(f283,plain,
! [X1] :
( ~ sP14
| ~ p1(sK70(X1)) ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
( ( ! [X0] : p1(X0)
& ! [X1] :
( ~ p1(sK70(X1))
& ~ r1(X1) )
& q1(sK71) )
| ~ sP14 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK70,sK71])],[f143,f145,f144]) ).
fof(f144,plain,
! [X1] :
( ? [X2] :
( ~ p1(X2)
& ~ r1(X1) )
=> ( ~ p1(sK70(X1))
& ~ r1(X1) ) ),
introduced(choice_axiom,[]) ).
fof(f145,plain,
( ? [X3] : q1(X3)
=> q1(sK71) ),
introduced(choice_axiom,[]) ).
fof(f143,plain,
( ( ! [X0] : p1(X0)
& ! [X1] :
? [X2] :
( ~ p1(X2)
& ~ r1(X1) )
& ? [X3] : q1(X3) )
| ~ sP14 ),
inference(rectify,[],[f142]) ).
fof(f142,plain,
( ( ! [X99] : p1(X99)
& ! [X101] :
? [X102] :
( ~ p1(X102)
& ~ r1(X101) )
& ? [X100] : q1(X100) )
| ~ sP14 ),
inference(nnf_transformation,[],[f21]) ).
fof(f763,plain,
( ~ spl103_81
| ~ spl103_35
| spl103_63 ),
inference(avatar_split_clause,[],[f361,f626,f512,f705]) ).
fof(f705,plain,
( spl103_81
<=> s1(sK95) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_81])]) ).
fof(f361,plain,
! [X2,X3] :
( p(X2,X3)
| ~ sP0
| ~ s1(sK95) ),
inference(cnf_transformation,[],[f203]) ).
fof(f761,plain,
( ~ spl103_36
| spl103_61 ),
inference(avatar_split_clause,[],[f246,f618,f516]) ).
fof(f246,plain,
! [X1] :
( p1(X1)
| ~ sP24 ),
inference(cnf_transformation,[],[f108]) ).
fof(f759,plain,
( spl103_16
| spl103_18
| ~ spl103_25 ),
inference(avatar_split_clause,[],[f315,f472,f443,f436]) ).
fof(f315,plain,
! [X2,X3] :
( ~ sP7
| ~ p1(X2)
| r1(X3)
| ~ q1(X2) ),
inference(cnf_transformation,[],[f174]) ).
fof(f753,plain,
( spl103_91
| ~ spl103_52 ),
inference(avatar_split_clause,[],[f272,f580,f751]) ).
fof(f272,plain,
! [X1] :
( ~ sP17
| p(f(X1),X1)
| ~ r1(X1) ),
inference(cnf_transformation,[],[f135]) ).
fof(f749,plain,
( ~ spl103_48
| ~ spl103_89
| spl103_18
| ~ spl103_90 ),
inference(avatar_split_clause,[],[f263,f746,f443,f742,f564]) ).
fof(f263,plain,
! [X2] :
( ~ r1(sK65)
| ~ q1(X2)
| ~ r1(sK66)
| ~ p1(X2)
| ~ sP19 ),
inference(cnf_transformation,[],[f129]) ).
fof(f740,plain,
( ~ spl103_87
| ~ spl103_88
| ~ spl103_44 ),
inference(avatar_split_clause,[],[f217,f548,f737,f733]) ).
fof(f217,plain,
( ~ sP36
| ~ p1(sK46)
| ~ p1(sK45) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
( ( ! [X0] : p1(X0)
& ( ~ p1(sK45)
| ~ p1(sK46) ) )
| ~ sP36 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK45,sK46])],[f62,f64,f63]) ).
fof(f63,plain,
( ? [X1] : ~ p1(X1)
=> ~ p1(sK45) ),
introduced(choice_axiom,[]) ).
fof(f64,plain,
( ? [X2] : ~ p1(X2)
=> ~ p1(sK46) ),
introduced(choice_axiom,[]) ).
fof(f62,plain,
( ( ! [X0] : p1(X0)
& ( ? [X1] : ~ p1(X1)
| ? [X2] : ~ p1(X2) ) )
| ~ sP36 ),
inference(rectify,[],[f61]) ).
fof(f61,plain,
( ( ! [X89] : p1(X89)
& ( ? [X90] : ~ p1(X90)
| ? [X91] : ~ p1(X91) ) )
| ~ sP36 ),
inference(nnf_transformation,[],[f43]) ).
fof(f731,plain,
( spl103_86
| ~ spl103_11 ),
inference(avatar_split_clause,[],[f287,f414,f729]) ).
fof(f287,plain,
! [X2] :
( ~ sP13
| ~ r1(X2)
| p1(X2) ),
inference(cnf_transformation,[],[f150]) ).
fof(f727,plain,
( ~ spl103_2
| ~ spl103_84
| ~ spl103_85 ),
inference(avatar_split_clause,[],[f308,f724,f720,f375]) ).
fof(f308,plain,
( ~ p1(sK79)
| ~ p1(sK80)
| ~ sP8 ),
inference(cnf_transformation,[],[f170]) ).
fof(f718,plain,
( spl103_83
| ~ spl103_50 ),
inference(avatar_split_clause,[],[f220,f572,f715]) ).
fof(f220,plain,
( ~ sP35
| p1(z) ),
inference(cnf_transformation,[],[f66]) ).
fof(f713,plain,
( spl103_82
| ~ spl103_23 ),
inference(avatar_split_clause,[],[f243,f464,f710]) ).
fof(f243,plain,
( ~ sP25
| a1(sK58) ),
inference(cnf_transformation,[],[f104]) ).
fof(f708,plain,
( spl103_81
| ~ spl103_35 ),
inference(avatar_split_clause,[],[f355,f512,f705]) ).
fof(f355,plain,
( ~ sP0
| s1(sK95) ),
inference(cnf_transformation,[],[f203]) ).
fof(f703,plain,
( ~ spl103_41
| spl103_79
| spl103_80 ),
inference(avatar_split_clause,[],[f211,f700,f696,f536]) ).
fof(f211,plain,
( p1(sK40)
| p1(sK41)
| ~ sP39 ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( ( ( ! [X0] : ~ p1(X0)
| ! [X1] : ~ p1(X1) )
& ( p1(sK40)
| p1(sK41) ) )
| ~ sP39 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK40,sK41])],[f49,f51,f50]) ).
fof(f50,plain,
( ? [X2] : p1(X2)
=> p1(sK40) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
( ? [X3] : p1(X3)
=> p1(sK41) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
( ( ( ! [X0] : ~ p1(X0)
| ! [X1] : ~ p1(X1) )
& ( ? [X2] : p1(X2)
| ? [X3] : p1(X3) ) )
| ~ sP39 ),
inference(rectify,[],[f48]) ).
fof(f48,plain,
( ( ( ! [X5] : ~ p1(X5)
| ! [X6] : ~ p1(X6) )
& ( ? [X5] : p1(X5)
| ? [X6] : p1(X6) ) )
| ~ sP39 ),
inference(nnf_transformation,[],[f46]) ).
fof(f694,plain,
( ~ spl103_25
| spl103_77
| spl103_78 ),
inference(avatar_split_clause,[],[f313,f692,f689,f472]) ).
fof(f313,plain,
! [X2,X3] :
( r1(X3)
| ~ q1(X2)
| p1(f(X3))
| ~ sP7 ),
inference(cnf_transformation,[],[f174]) ).
fof(f687,plain,
( ~ spl103_44
| spl103_61 ),
inference(avatar_split_clause,[],[f218,f618,f548]) ).
fof(f218,plain,
! [X0] :
( p1(X0)
| ~ sP36 ),
inference(cnf_transformation,[],[f65]) ).
fof(f686,plain,
( spl103_76
| ~ spl103_33 ),
inference(avatar_split_clause,[],[f336,f504,f683]) ).
fof(f336,plain,
( ~ sP3
| eq(sK92,sK91) ),
inference(cnf_transformation,[],[f191]) ).
fof(f681,plain,
( ~ spl103_30
| spl103_75 ),
inference(avatar_split_clause,[],[f321,f679,f492]) ).
fof(f321,plain,
! [X2,X0] :
( p(X2,X0)
| ~ sP6
| p(X2,sK83(X0)) ),
inference(cnf_transformation,[],[f178]) ).
fof(f178,plain,
( ! [X0,X2] :
( ( p(X2,sK83(X0))
& ! [X3] : ~ p(X3,X2) )
| ( ~ p(X2,sK83(X0))
& p(X2,X0)
& p(X0,X2) ) )
| ~ sP6 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK83])],[f176,f177]) ).
fof(f177,plain,
! [X0] :
( ? [X1] :
! [X2] :
( ( p(X2,X1)
& ! [X3] : ~ p(X3,X2) )
| ( ~ p(X2,X1)
& p(X2,X0)
& p(X0,X2) ) )
=> ! [X2] :
( ( p(X2,sK83(X0))
& ! [X3] : ~ p(X3,X2) )
| ( ~ p(X2,sK83(X0))
& p(X2,X0)
& p(X0,X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f176,plain,
( ! [X0] :
? [X1] :
! [X2] :
( ( p(X2,X1)
& ! [X3] : ~ p(X3,X2) )
| ( ~ p(X2,X1)
& p(X2,X0)
& p(X0,X2) ) )
| ~ sP6 ),
inference(rectify,[],[f175]) ).
fof(f175,plain,
( ! [X64] :
? [X65] :
! [X66] :
( ( p(X66,X65)
& ! [X67] : ~ p(X67,X66) )
| ( ~ p(X66,X65)
& p(X66,X64)
& p(X64,X66) ) )
| ~ sP6 ),
inference(nnf_transformation,[],[f13]) ).
fof(f677,plain,
( spl103_19
| spl103_19
| ~ spl103_41 ),
inference(avatar_split_clause,[],[f212,f536,f447,f447]) ).
fof(f212,plain,
! [X0,X1] :
( ~ sP39
| ~ p1(X0)
| ~ p1(X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f676,plain,
( spl103_74
| ~ spl103_56 ),
inference(avatar_split_clause,[],[f216,f596,f674]) ).
fof(f216,plain,
! [X1] :
( ~ sP37
| p(sK43,X1) ),
inference(cnf_transformation,[],[f60]) ).
fof(f672,plain,
( spl103_73
| ~ spl103_33 ),
inference(avatar_split_clause,[],[f338,f504,f670]) ).
fof(f338,plain,
! [X3,X0,X1] :
( ~ sP3
| a_member_of(X3,X0)
| ~ a_member_of(X3,X1)
| ~ eq(X1,X0) ),
inference(cnf_transformation,[],[f191]) ).
fof(f668,plain,
( ~ spl103_31
| spl103_61 ),
inference(avatar_split_clause,[],[f223,f618,f496]) ).
fof(f223,plain,
! [X2] :
( p1(X2)
| ~ sP33 ),
inference(cnf_transformation,[],[f74]) ).
fof(f667,plain,
( spl103_72
| ~ spl103_28 ),
inference(avatar_split_clause,[],[f332,f484,f665]) ).
fof(f332,plain,
! [X3,X4] :
( ~ sP4
| q(X3,X4)
| ~ r(X3,X4) ),
inference(cnf_transformation,[],[f186]) ).
fof(f663,plain,
( ~ spl103_17
| ~ spl103_70
| spl103_18
| ~ spl103_71 ),
inference(avatar_split_clause,[],[f274,f660,f443,f656,f439]) ).
fof(f274,plain,
! [X3] :
( ~ r1(sK68)
| ~ p1(X3)
| ~ q1(X3)
| ~ r1(sK69)
| ~ sP16 ),
inference(cnf_transformation,[],[f139]) ).
fof(f654,plain,
( ~ spl103_68
| spl103_69
| ~ spl103_37
| spl103_19 ),
inference(avatar_split_clause,[],[f344,f447,f520,f651,f647]) ).
fof(f344,plain,
! [X0] :
( ~ p1(X0)
| ~ sP2
| q0
| ~ b0 ),
inference(cnf_transformation,[],[f195]) ).
fof(f641,plain,
( ~ spl103_33
| spl103_66 ),
inference(avatar_split_clause,[],[f337,f639,f504]) ).
fof(f337,plain,
! [X3,X0,X1] :
( a_member_of(X3,X1)
| ~ sP3
| ~ eq(X1,X0)
| ~ a_member_of(X3,X0) ),
inference(cnf_transformation,[],[f191]) ).
fof(f637,plain,
( spl103_28
| spl103_53
| spl103_48
| spl103_31
| spl103_9
| spl103_46
| spl103_43
| spl103_21
| spl103_29
| spl103_50
| spl103_25
| spl103_55
| spl103_2
| spl103_13
| spl103_52
| spl103_47
| spl103_17
| spl103_3
| spl103_14
| spl103_8
| spl103_34
| spl103_44
| ~ spl103_45
| spl103_35
| spl103_56
| spl103_6
| spl103_65
| spl103_20
| spl103_40
| spl103_23
| spl103_32
| spl103_49
| spl103_30
| spl103_51
| spl103_27
| spl103_36
| spl103_33
| spl103_11
| spl103_65
| spl103_26
| spl103_37
| spl103_41
| spl103_38
| spl103_39 ),
inference(avatar_split_clause,[],[f364,f528,f524,f536,f520,f476,f635,f414,f504,f516,f480,f576,f492,f568,f500,f464,f532,f451,f635,f392,f596,f512,f552,f548,f508,f401,f428,f380,f439,f560,f580,f423,f375,f592,f472,f572,f488,f456,f544,f556,f406,f496,f564,f584,f484]) ).
fof(f364,plain,
! [X8,X6,X7,X5] :
( sP10
| sP30
| sP39
| sP2
| sP29
| ~ a(X7,X8)
| sP13
| sP3
| sP24
| sP38
| sP11
| sP6
| sP14
| sP21
| sP25
| sP28
| sP23
| ~ a(X5,X6)
| sP27
| sP37
| sP0
| ~ p(sK97,sK97)
| sP36
| p1(sK98)
| sP31
| sP20
| sP12
| sP16
| sP15
| sP17
| sP9
| sP8
| sP5
| sP7
| sP35
| sP22
| sP1
| sP18
| sP32
| sP34
| sP33
| sP19
| sP26
| sP4 ),
inference(cnf_transformation,[],[f210]) ).
fof(f633,plain,
( spl103_64
| ~ spl103_37 ),
inference(avatar_split_clause,[],[f341,f520,f630]) ).
fof(f341,plain,
( ~ sP2
| p1(sK93) ),
inference(cnf_transformation,[],[f195]) ).
fof(f628,plain,
( spl103_26
| spl103_44
| spl103_3
| spl103_31
| spl103_51
| spl103_17
| spl103_46
| spl103_27
| spl103_47
| spl103_48
| spl103_32
| spl103_42
| spl103_54
| spl103_13
| spl103_8
| spl103_14
| spl103_25
| spl103_50
| spl103_63
| spl103_9
| spl103_41
| spl103_21
| spl103_11
| spl103_35
| spl103_37
| spl103_28
| spl103_56
| spl103_52
| spl103_29
| spl103_34
| spl103_6
| spl103_36
| spl103_40
| spl103_2
| spl103_53
| spl103_33
| spl103_55
| spl103_49
| spl103_39
| spl103_38
| spl103_23
| spl103_43
| spl103_30
| spl103_20 ),
inference(avatar_split_clause,[],[f367,f451,f492,f544,f464,f524,f528,f568,f592,f504,f584,f375,f532,f516,f392,f508,f488,f580,f596,f484,f520,f512,f414,f456,f536,f406,f626,f572,f472,f428,f401,f423,f588,f540,f500,f564,f560,f480,f556,f439,f576,f496,f380,f548,f476]) ).
fof(f367,plain,
! [X0,X1] :
( sP23
| sP6
| sP18
| sP25
| sP30
| sP10
| sP14
| sP5
| sP3
| sP26
| sP8
| sP28
| sP24
| sP27
| p1(sK98)
| sP22
| sP17
| sP37
| sP4
| sP2
| sP0
| sP13
| sP1
| sP39
| sP34
| p(X1,X0)
| sP35
| sP7
| sP20
| sP31
| sP9
| a(sK101,sK102)
| a(sK99,sK100)
| sP21
| sP19
| sP15
| sP38
| sP32
| sP16
| sP11
| sP33
| sP12
| sP36
| sP29 ),
inference(cnf_transformation,[],[f210]) ).
fof(f624,plain,
( ~ spl103_30
| spl103_62 ),
inference(avatar_split_clause,[],[f319,f622,f492]) ).
fof(f319,plain,
! [X2,X3,X0] :
( ~ p(X3,X2)
| ~ sP6
| ~ p(X2,sK83(X0)) ),
inference(cnf_transformation,[],[f178]) ).
fof(f620,plain,
( spl103_61
| ~ spl103_49 ),
inference(avatar_split_clause,[],[f284,f568,f618]) ).
fof(f284,plain,
! [X0] :
( ~ sP14
| p1(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f616,plain,
( spl103_60
| ~ spl103_53 ),
inference(avatar_split_clause,[],[f240,f584,f614]) ).
fof(f240,plain,
! [X1] :
( ~ sP26
| ~ b(X1) ),
inference(cnf_transformation,[],[f100]) ).
fof(f612,plain,
( spl103_59
| ~ spl103_30 ),
inference(avatar_split_clause,[],[f318,f492,f610]) ).
fof(f318,plain,
! [X2,X3,X0] :
( ~ sP6
| p(X2,X0)
| ~ p(X3,X2) ),
inference(cnf_transformation,[],[f178]) ).
fof(f603,plain,
( spl103_57
| ~ spl103_25 ),
inference(avatar_split_clause,[],[f312,f472,f601]) ).
fof(f312,plain,
! [X4] :
( ~ sP7
| q1(f(X4)) ),
inference(cnf_transformation,[],[f174]) ).
fof(f599,plain,
( spl103_14
| spl103_25
| spl103_26
| spl103_27
| spl103_28
| spl103_8
| spl103_29
| spl103_30
| spl103_11
| spl103_31
| spl103_17
| spl103_32
| spl103_33
| spl103_34
| spl103_35
| spl103_36
| spl103_37
| spl103_38
| spl103_39
| spl103_3
| spl103_2
| spl103_40
| spl103_41
| spl103_23
| spl103_20
| spl103_42
| spl103_13
| spl103_43
| spl103_44
| ~ spl103_45
| spl103_46
| spl103_47
| spl103_48
| spl103_49
| spl103_9
| spl103_50
| spl103_6
| spl103_51
| spl103_52
| spl103_53
| spl103_54
| spl103_21
| spl103_55
| spl103_56 ),
inference(avatar_split_clause,[],[f363,f596,f592,f456,f588,f584,f580,f576,f392,f572,f406,f568,f564,f560,f556,f552,f548,f544,f423,f540,f451,f464,f536,f532,f375,f380,f528,f524,f520,f516,f512,f508,f504,f500,f439,f496,f414,f492,f488,f401,f484,f480,f476,f472,f428]) ).
fof(f363,plain,
( sP37
| sP5
| sP1
| a(sK101,sK102)
| sP26
| sP17
| sP11
| sP27
| sP35
| sP34
| sP14
| sP19
| sP15
| sP32
| ~ p(sK97,sK97)
| sP36
| sP18
| sP9
| a(sK99,sK100)
| sP23
| sP25
| sP39
| sP28
| sP8
| sP12
| sP10
| sP30
| sP2
| sP24
| sP0
| p1(sK98)
| sP3
| sP21
| sP16
| sP33
| sP13
| sP6
| sP22
| sP31
| sP4
| sP38
| sP29
| sP7
| sP20 ),
inference(cnf_transformation,[],[f210]) ).
fof(f470,plain,
( ~ spl103_23
| spl103_24 ),
inference(avatar_split_clause,[],[f242,f468,f464]) ).
fof(f242,plain,
! [X2] :
( ~ a1(X2)
| ~ b(X2)
| ~ sP25 ),
inference(cnf_transformation,[],[f104]) ).
fof(f462,plain,
( ~ spl103_21
| spl103_22 ),
inference(avatar_split_clause,[],[f351,f460,f456]) ).
fof(f351,plain,
! [X5] :
( ~ p1(X5)
| ~ sP1
| ~ c(X5) ),
inference(cnf_transformation,[],[f199]) ).
fof(f454,plain,
( ~ spl103_20
| spl103_12 ),
inference(avatar_split_clause,[],[f250,f418,f451]) ).
fof(f250,plain,
! [X0] :
( q1(X0)
| ~ sP23
| ~ p1(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f449,plain,
( spl103_19
| ~ spl103_8 ),
inference(avatar_split_clause,[],[f227,f401,f447]) ).
fof(f227,plain,
! [X0] :
( ~ sP31
| ~ p1(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
( ! [X0] :
( p1(sK51)
& ~ p1(X0) )
| ~ sP31 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK51])],[f80,f81]) ).
fof(f81,plain,
( ? [X1] : p1(X1)
=> p1(sK51) ),
introduced(choice_axiom,[]) ).
fof(f80,plain,
( ! [X0] :
( ? [X1] : p1(X1)
& ~ p1(X0) )
| ~ sP31 ),
inference(rectify,[],[f79]) ).
fof(f79,plain,
( ! [X83] :
( ? [X84] : p1(X84)
& ~ p1(X83) )
| ~ sP31 ),
inference(nnf_transformation,[],[f38]) ).
fof(f445,plain,
( spl103_16
| ~ spl103_17
| spl103_18 ),
inference(avatar_split_clause,[],[f275,f443,f439,f436]) ).
fof(f275,plain,
! [X3,X4] :
( ~ p1(X3)
| ~ q1(X3)
| ~ sP16
| r1(X4) ),
inference(cnf_transformation,[],[f139]) ).
fof(f426,plain,
( ~ spl103_13
| spl103_1 ),
inference(avatar_split_clause,[],[f302,f372,f423]) ).
fof(f302,plain,
! [X3] :
( ~ q1(X3)
| ~ sP9
| p1(X3) ),
inference(cnf_transformation,[],[f166]) ).
fof(f421,plain,
( ~ spl103_3
| spl103_12 ),
inference(avatar_split_clause,[],[f292,f418,f380]) ).
fof(f292,plain,
! [X0] :
( q1(X0)
| ~ p1(X0)
| ~ sP12 ),
inference(cnf_transformation,[],[f154]) ).
fof(f420,plain,
( ~ spl103_11
| spl103_12 ),
inference(avatar_split_clause,[],[f288,f418,f414]) ).
fof(f288,plain,
! [X1] :
( q1(X1)
| ~ sP13
| ~ p1(X1) ),
inference(cnf_transformation,[],[f150]) ).
fof(f412,plain,
( ~ spl103_9
| spl103_10 ),
inference(avatar_split_clause,[],[f222,f410,f406]) ).
fof(f222,plain,
! [X1] :
( a(X1,sK47)
| a(X1,X1)
| ~ sP34 ),
inference(cnf_transformation,[],[f70]) ).
fof(f404,plain,
( spl103_7
| ~ spl103_8 ),
inference(avatar_split_clause,[],[f228,f401,f397]) ).
fof(f228,plain,
( ~ sP31
| p1(sK51) ),
inference(cnf_transformation,[],[f82]) ).
fof(f395,plain,
( spl103_5
| ~ spl103_6 ),
inference(avatar_split_clause,[],[f238,f392,f388]) ).
fof(f238,plain,
( ~ sP27
| p1(sK56) ),
inference(cnf_transformation,[],[f96]) ).
fof(f386,plain,
( ~ spl103_3
| spl103_4 ),
inference(avatar_split_clause,[],[f290,f384,f380]) ).
fof(f290,plain,
! [X2] :
( ~ r1(X2)
| ~ sP12 ),
inference(cnf_transformation,[],[f154]) ).
fof(f378,plain,
( spl103_1
| ~ spl103_2 ),
inference(avatar_split_clause,[],[f311,f375,f372]) ).
fof(f311,plain,
! [X2] :
( ~ sP8
| ~ q1(X2)
| p1(X2) ),
inference(cnf_transformation,[],[f170]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SYN938+1 : TPTP v8.1.0. Released v3.1.0.
% 0.05/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.31 % Computer : n025.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Aug 30 22:43:45 EDT 2022
% 0.10/0.31 % CPUTime :
% 0.16/0.46 % (12105)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.46 % (12103)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.46 % (12121)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.16/0.47 % (12113)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.16/0.47 % (12105)Instruction limit reached!
% 0.16/0.47 % (12105)------------------------------
% 0.16/0.47 % (12105)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.47 % (12105)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.47 % (12105)Termination reason: Unknown
% 0.16/0.47 % (12105)Termination phase: Preprocessing 2
% 0.16/0.47
% 0.16/0.47 % (12105)Memory used [KB]: 1023
% 0.16/0.47 % (12105)Time elapsed: 0.003 s
% 0.16/0.47 % (12105)Instructions burned: 2 (million)
% 0.16/0.47 % (12105)------------------------------
% 0.16/0.47 % (12105)------------------------------
% 0.16/0.47 % (12111)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.16/0.47 TRYING [1]
% 0.16/0.48 % (12119)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.16/0.49 TRYING [2]
% 0.16/0.50 % (12099)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.16/0.50 TRYING [3]
% 0.16/0.50 % (12110)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.16/0.50 % (12108)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.16/0.50 % (12102)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.16/0.50 % (12100)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.51 % (12101)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.51 % (12118)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.16/0.51 % (12114)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.16/0.51 % (12104)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.52 % (12104)Instruction limit reached!
% 0.16/0.52 % (12104)------------------------------
% 0.16/0.52 % (12104)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.52 % (12104)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.52 % (12104)Termination reason: Unknown
% 0.16/0.52 % (12104)Termination phase: Saturation
% 0.16/0.52
% 0.16/0.52 % (12104)Memory used [KB]: 5884
% 0.16/0.52 % (12104)Time elapsed: 0.006 s
% 0.16/0.52 % (12104)Instructions burned: 7 (million)
% 0.16/0.52 % (12104)------------------------------
% 0.16/0.52 % (12104)------------------------------
% 0.16/0.52 % (12125)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.16/0.52 % (12122)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.16/0.52 TRYING [4]
% 0.16/0.53 % (12109)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.16/0.53 % (12098)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.16/0.53 % (12120)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.16/0.53 % (12121)First to succeed.
% 0.16/0.53 % (12106)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.54 % (12117)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.16/0.54 % (12112)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.16/0.54 % (12116)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.16/0.54 % (12103)Instruction limit reached!
% 0.16/0.54 % (12103)------------------------------
% 0.16/0.54 % (12103)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.54 % (12103)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.54 % (12103)Termination reason: Unknown
% 1.57/0.54 % (12103)Termination phase: Finite model building constraint generation
% 1.57/0.54
% 1.57/0.54 % (12103)Memory used [KB]: 6652
% 1.57/0.54 % (12103)Time elapsed: 0.146 s
% 1.57/0.54 % (12103)Instructions burned: 51 (million)
% 1.57/0.54 % (12103)------------------------------
% 1.57/0.54 % (12103)------------------------------
% 1.57/0.55 % (12097)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.57/0.55 % (12124)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.57/0.55 % (12126)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.84/0.56 % (12123)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.84/0.57 % (12115)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.84/0.57 % (12099)Instruction limit reached!
% 1.84/0.57 % (12099)------------------------------
% 1.84/0.57 % (12099)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.57 % (12099)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.57 % (12099)Termination reason: Unknown
% 1.84/0.57 % (12099)Termination phase: Saturation
% 1.84/0.57
% 1.84/0.57 % (12099)Memory used [KB]: 1535
% 1.84/0.57 % (12099)Time elapsed: 0.197 s
% 1.84/0.57 % (12099)Instructions burned: 37 (million)
% 1.84/0.57 % (12099)------------------------------
% 1.84/0.57 % (12099)------------------------------
% 1.84/0.57 TRYING [1]
% 1.84/0.58 TRYING [2]
% 1.84/0.58 % (12107)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.84/0.58 % (12121)Refutation found. Thanks to Tanya!
% 1.84/0.58 % SZS status Theorem for theBenchmark
% 1.84/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.84/0.58 % (12121)------------------------------
% 1.84/0.58 % (12121)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.58 % (12121)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.58 % (12121)Termination reason: Refutation
% 1.84/0.58
% 1.84/0.58 % (12121)Memory used [KB]: 6780
% 1.84/0.58 % (12121)Time elapsed: 0.186 s
% 1.84/0.58 % (12121)Instructions burned: 36 (million)
% 1.84/0.58 % (12121)------------------------------
% 1.84/0.58 % (12121)------------------------------
% 1.84/0.58 % (12096)Success in time 0.263 s
%------------------------------------------------------------------------------