TSTP Solution File: SYN938+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYN938+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 12:07:54 EDT 2024
% Result : Theorem 0.60s 0.79s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 240
% Syntax : Number of formulae : 913 ( 1 unt; 0 def)
% Number of atoms : 5099 ( 0 equ)
% Maximal formula atoms : 203 ( 5 avg)
% Number of connectives : 6125 (1939 ~;2459 |;1131 &)
% ( 190 <=>; 394 =>; 0 <=; 12 <~>)
% Maximal formula depth : 54 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 215 ( 214 usr; 199 prp; 0-2 aty)
% Number of functors : 65 ( 65 usr; 57 con; 0-2 aty)
% Number of variables : 1806 (1181 !; 625 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1532,plain,
$false,
inference(avatar_sat_refutation,[],[f380,f384,f392,f397,f405,f409,f414,f419,f424,f433,f446,f447,f460,f461,f469,f478,f486,f490,f495,f496,f509,f510,f519,f523,f533,f538,f542,f550,f559,f567,f571,f576,f581,f585,f594,f599,f604,f608,f617,f618,f622,f630,f634,f646,f647,f656,f657,f665,f673,f677,f685,f698,f700,f701,f706,f707,f709,f718,f722,f727,f728,f737,f742,f751,f757,f765,f770,f775,f779,f795,f796,f803,f808,f821,f822,f823,f827,f840,f846,f850,f863,f866,f867,f880,f883,f884,f897,f898,f899,f903,f904,f913,f918,f922,f926,f930,f934,f942,f946,f958,f967,f968,f969,f970,f976,f984,f988,f992,f997,f1002,f1012,f1013,f1014,f1019,f1024,f1037,f1041,f1045,f1049,f1053,f1058,f1063,f1072,f1077,f1081,f1118,f1119,f1124,f1125,f1126,f1127,f1128,f1129,f1131,f1133,f1135,f1137,f1139,f1141,f1143,f1145,f1147,f1149,f1151,f1153,f1155,f1170,f1172,f1174,f1180,f1182,f1184,f1186,f1188,f1190,f1197,f1201,f1205,f1207,f1209,f1225,f1235,f1241,f1243,f1245,f1247,f1253,f1257,f1259,f1261,f1263,f1265,f1270,f1280,f1293,f1301,f1305,f1307,f1309,f1311,f1319,f1328,f1336,f1338,f1342,f1344,f1346,f1372,f1376,f1383,f1386,f1390,f1392,f1411,f1425,f1433,f1447,f1454,f1465,f1467,f1481,f1484,f1491,f1494,f1496,f1498,f1500,f1531]) ).
fof(f1531,plain,
( spl103_38
| ~ spl103_94
| ~ spl103_101
| ~ spl103_116 ),
inference(avatar_split_clause,[],[f1529,f901,f825,f793,f540]) ).
fof(f540,plain,
( spl103_38
<=> ! [X3] : r1(X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_38])]) ).
fof(f793,plain,
( spl103_94
<=> ! [X2] :
( ~ q1(X2)
| ~ p1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_94])]) ).
fof(f825,plain,
( spl103_101
<=> ! [X4] : q1(f(X4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_101])]) ).
fof(f901,plain,
( spl103_116
<=> ! [X3] :
( r1(X3)
| p1(f(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_116])]) ).
fof(f1529,plain,
( ! [X0] : r1(X0)
| ~ spl103_94
| ~ spl103_101
| ~ spl103_116 ),
inference(resolution,[],[f1516,f902]) ).
fof(f902,plain,
( ! [X3] :
( p1(f(X3))
| r1(X3) )
| ~ spl103_116 ),
inference(avatar_component_clause,[],[f901]) ).
fof(f1516,plain,
( ! [X0] : ~ p1(f(X0))
| ~ spl103_94
| ~ spl103_101 ),
inference(resolution,[],[f794,f826]) ).
fof(f826,plain,
( ! [X4] : q1(f(X4))
| ~ spl103_101 ),
inference(avatar_component_clause,[],[f825]) ).
fof(f794,plain,
( ! [X2] :
( ~ q1(X2)
| ~ p1(X2) )
| ~ spl103_94 ),
inference(avatar_component_clause,[],[f793]) ).
fof(f1500,plain,
( ~ spl103_5
| ~ spl103_132 ),
inference(avatar_contradiction_clause,[],[f1499]) ).
fof(f1499,plain,
( $false
| ~ spl103_5
| ~ spl103_132 ),
inference(subsumption_resolution,[],[f975,f391]) ).
fof(f391,plain,
( ! [X0] : ~ p1(X0)
| ~ spl103_5 ),
inference(avatar_component_clause,[],[f390]) ).
fof(f390,plain,
( spl103_5
<=> ! [X0] : ~ p1(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_5])]) ).
fof(f975,plain,
( p1(sK91)
| ~ spl103_132 ),
inference(avatar_component_clause,[],[f973]) ).
fof(f973,plain,
( spl103_132
<=> p1(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_132])]) ).
fof(f1498,plain,
( ~ spl103_5
| ~ spl103_13 ),
inference(avatar_contradiction_clause,[],[f1497]) ).
fof(f1497,plain,
( $false
| ~ spl103_5
| ~ spl103_13 ),
inference(subsumption_resolution,[],[f428,f391]) ).
fof(f428,plain,
( p1(sK46)
| ~ spl103_13 ),
inference(avatar_component_clause,[],[f426]) ).
fof(f426,plain,
( spl103_13
<=> p1(sK46) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_13])]) ).
fof(f1496,plain,
( ~ spl103_5
| ~ spl103_14 ),
inference(avatar_contradiction_clause,[],[f1495]) ).
fof(f1495,plain,
( $false
| ~ spl103_5
| ~ spl103_14 ),
inference(subsumption_resolution,[],[f432,f391]) ).
fof(f432,plain,
( p1(sK45)
| ~ spl103_14 ),
inference(avatar_component_clause,[],[f430]) ).
fof(f430,plain,
( spl103_14
<=> p1(sK45) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_14])]) ).
fof(f1494,plain,
( ~ spl103_5
| ~ spl103_11 ),
inference(avatar_contradiction_clause,[],[f1493]) ).
fof(f1493,plain,
( $false
| ~ spl103_5
| ~ spl103_11 ),
inference(subsumption_resolution,[],[f418,f391]) ).
fof(f418,plain,
( p1(sK44)
| ~ spl103_11 ),
inference(avatar_component_clause,[],[f416]) ).
fof(f416,plain,
( spl103_11
<=> p1(sK44) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_11])]) ).
fof(f1491,plain,
( ~ spl103_5
| ~ spl103_95 ),
inference(avatar_contradiction_clause,[],[f1469]) ).
fof(f1469,plain,
( $false
| ~ spl103_5
| ~ spl103_95 ),
inference(resolution,[],[f391,f799]) ).
fof(f799,plain,
( ! [X3] : p1(f(X3))
| ~ spl103_95 ),
inference(avatar_component_clause,[],[f798]) ).
fof(f798,plain,
( spl103_95
<=> ! [X3] : p1(f(X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_95])]) ).
fof(f1484,plain,
( ~ spl103_5
| ~ spl103_37 ),
inference(avatar_contradiction_clause,[],[f1477]) ).
fof(f1477,plain,
( $false
| ~ spl103_5
| ~ spl103_37 ),
inference(resolution,[],[f391,f537]) ).
fof(f537,plain,
( p1(sK59)
| ~ spl103_37 ),
inference(avatar_component_clause,[],[f535]) ).
fof(f535,plain,
( spl103_37
<=> p1(sK59) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_37])]) ).
fof(f1481,plain,
( ~ spl103_5
| ~ spl103_164 ),
inference(avatar_contradiction_clause,[],[f1480]) ).
fof(f1480,plain,
( $false
| ~ spl103_5
| ~ spl103_164 ),
inference(resolution,[],[f391,f1123]) ).
fof(f1123,plain,
( p1(sK102)
| ~ spl103_164 ),
inference(avatar_component_clause,[],[f1121]) ).
fof(f1121,plain,
( spl103_164
<=> p1(sK102) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_164])]) ).
fof(f1467,plain,
( ~ spl103_94
| ~ spl103_95
| ~ spl103_101 ),
inference(avatar_contradiction_clause,[],[f1466]) ).
fof(f1466,plain,
( $false
| ~ spl103_94
| ~ spl103_95
| ~ spl103_101 ),
inference(subsumption_resolution,[],[f1459,f799]) ).
fof(f1459,plain,
( ! [X0] : ~ p1(f(X0))
| ~ spl103_94
| ~ spl103_101 ),
inference(resolution,[],[f794,f826]) ).
fof(f1465,plain,
( ~ spl103_94
| ~ spl103_95
| ~ spl103_97 ),
inference(avatar_contradiction_clause,[],[f1464]) ).
fof(f1464,plain,
( $false
| ~ spl103_94
| ~ spl103_95
| ~ spl103_97 ),
inference(subsumption_resolution,[],[f1458,f799]) ).
fof(f1458,plain,
( ~ p1(f(sK75))
| ~ spl103_94
| ~ spl103_97 ),
inference(resolution,[],[f794,f807]) ).
fof(f807,plain,
( q1(f(sK75))
| ~ spl103_97 ),
inference(avatar_component_clause,[],[f805]) ).
fof(f805,plain,
( spl103_97
<=> q1(f(sK75)) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_97])]) ).
fof(f1454,plain,
( spl103_5
| ~ spl103_56
| ~ spl103_94 ),
inference(avatar_split_clause,[],[f1453,f793,f620,f390]) ).
fof(f620,plain,
( spl103_56
<=> ! [X2] :
( q1(X2)
| ~ p1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_56])]) ).
fof(f1453,plain,
( ! [X2] : ~ p1(X2)
| ~ spl103_56
| ~ spl103_94 ),
inference(subsumption_resolution,[],[f794,f621]) ).
fof(f621,plain,
( ! [X2] :
( q1(X2)
| ~ p1(X2) )
| ~ spl103_56 ),
inference(avatar_component_clause,[],[f620]) ).
fof(f1447,plain,
( ~ spl103_56
| spl103_77
| ~ spl103_78
| ~ spl103_79 ),
inference(avatar_contradiction_clause,[],[f1446]) ).
fof(f1446,plain,
( $false
| ~ spl103_56
| spl103_77
| ~ spl103_78
| ~ spl103_79 ),
inference(subsumption_resolution,[],[f1445,f726]) ).
fof(f726,plain,
( r1(sK69)
| ~ spl103_79 ),
inference(avatar_component_clause,[],[f724]) ).
fof(f724,plain,
( spl103_79
<=> r1(sK69) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_79])]) ).
fof(f1445,plain,
( ~ r1(sK69)
| ~ spl103_56
| spl103_77
| ~ spl103_78 ),
inference(resolution,[],[f1435,f721]) ).
fof(f721,plain,
( ! [X1] :
( p1(X1)
| ~ r1(X1) )
| ~ spl103_78 ),
inference(avatar_component_clause,[],[f720]) ).
fof(f720,plain,
( spl103_78
<=> ! [X1] :
( p1(X1)
| ~ r1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_78])]) ).
fof(f1435,plain,
( ~ p1(sK69)
| ~ spl103_56
| spl103_77 ),
inference(resolution,[],[f621,f717]) ).
fof(f717,plain,
( ~ q1(sK69)
| spl103_77 ),
inference(avatar_component_clause,[],[f715]) ).
fof(f715,plain,
( spl103_77
<=> q1(sK69) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_77])]) ).
fof(f1433,plain,
( ~ spl103_138
| ~ spl103_134
| ~ spl103_135
| ~ spl103_136
| ~ spl103_137 ),
inference(avatar_split_clause,[],[f1428,f994,f990,f986,f982,f999]) ).
fof(f999,plain,
( spl103_138
<=> s1(sK93) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_138])]) ).
fof(f982,plain,
( spl103_134
<=> ! [X4,X3] :
( ~ q(X3,X4)
| ~ p1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_134])]) ).
fof(f986,plain,
( spl103_135
<=> ! [X6,X5] :
( q(X5,X6)
| ~ r(X5,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_135])]) ).
fof(f990,plain,
( spl103_136
<=> ! [X7] :
( p1(X7)
| ~ s1(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_136])]) ).
fof(f994,plain,
( spl103_137
<=> r(sK93,sK94) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_137])]) ).
fof(f1428,plain,
( ~ s1(sK93)
| ~ spl103_134
| ~ spl103_135
| ~ spl103_136
| ~ spl103_137 ),
inference(resolution,[],[f1427,f991]) ).
fof(f991,plain,
( ! [X7] :
( p1(X7)
| ~ s1(X7) )
| ~ spl103_136 ),
inference(avatar_component_clause,[],[f990]) ).
fof(f1427,plain,
( ~ p1(sK93)
| ~ spl103_134
| ~ spl103_135
| ~ spl103_137 ),
inference(resolution,[],[f996,f1403]) ).
fof(f1403,plain,
( ! [X0,X1] :
( ~ r(X0,X1)
| ~ p1(X0) )
| ~ spl103_134
| ~ spl103_135 ),
inference(resolution,[],[f983,f987]) ).
fof(f987,plain,
( ! [X6,X5] :
( q(X5,X6)
| ~ r(X5,X6) )
| ~ spl103_135 ),
inference(avatar_component_clause,[],[f986]) ).
fof(f983,plain,
( ! [X3,X4] :
( ~ q(X3,X4)
| ~ p1(X3) )
| ~ spl103_134 ),
inference(avatar_component_clause,[],[f982]) ).
fof(f996,plain,
( r(sK93,sK94)
| ~ spl103_137 ),
inference(avatar_component_clause,[],[f994]) ).
fof(f1425,plain,
( ~ spl103_145
| ~ spl103_146
| ~ spl103_147
| ~ spl103_148
| ~ spl103_149
| ~ spl103_150
| ~ spl103_151 ),
inference(avatar_contradiction_clause,[],[f1424]) ).
fof(f1424,plain,
( $false
| ~ spl103_145
| ~ spl103_146
| ~ spl103_147
| ~ spl103_148
| ~ spl103_149
| ~ spl103_150
| ~ spl103_151 ),
inference(subsumption_resolution,[],[f1423,f1062]) ).
fof(f1062,plain,
( p1(sK98)
| ~ spl103_151 ),
inference(avatar_component_clause,[],[f1060]) ).
fof(f1060,plain,
( spl103_151
<=> p1(sK98) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_151])]) ).
fof(f1423,plain,
( ~ p1(sK98)
| ~ spl103_145
| ~ spl103_146
| ~ spl103_147
| ~ spl103_148
| ~ spl103_149
| ~ spl103_150
| ~ spl103_151 ),
inference(resolution,[],[f1422,f1040]) ).
fof(f1040,plain,
( ! [X3] :
( ~ g(X3)
| ~ p1(X3) )
| ~ spl103_146 ),
inference(avatar_component_clause,[],[f1039]) ).
fof(f1039,plain,
( spl103_146
<=> ! [X3] :
( ~ g(X3)
| ~ p1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_146])]) ).
fof(f1422,plain,
( g(sK98)
| ~ spl103_145
| ~ spl103_146
| ~ spl103_147
| ~ spl103_148
| ~ spl103_149
| ~ spl103_150
| ~ spl103_151 ),
inference(subsumption_resolution,[],[f1421,f1057]) ).
fof(f1057,plain,
( e(sK98)
| ~ spl103_150 ),
inference(avatar_component_clause,[],[f1055]) ).
fof(f1055,plain,
( spl103_150
<=> e(sK98) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_150])]) ).
fof(f1421,plain,
( ~ e(sK98)
| g(sK98)
| ~ spl103_145
| ~ spl103_146
| ~ spl103_147
| ~ spl103_148
| ~ spl103_149
| ~ spl103_150
| ~ spl103_151 ),
inference(subsumption_resolution,[],[f1404,f1415]) ).
fof(f1415,plain,
( ~ p1(f(sK98))
| ~ spl103_145
| ~ spl103_146
| ~ spl103_148
| ~ spl103_150
| ~ spl103_151 ),
inference(resolution,[],[f1414,f1036]) ).
fof(f1036,plain,
( ! [X4] :
( ~ c(X4)
| ~ p1(X4) )
| ~ spl103_145 ),
inference(avatar_component_clause,[],[f1035]) ).
fof(f1035,plain,
( spl103_145
<=> ! [X4] :
( ~ c(X4)
| ~ p1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_145])]) ).
fof(f1414,plain,
( c(f(sK98))
| ~ spl103_146
| ~ spl103_148
| ~ spl103_150
| ~ spl103_151 ),
inference(subsumption_resolution,[],[f1413,f1062]) ).
fof(f1413,plain,
( ~ p1(sK98)
| c(f(sK98))
| ~ spl103_146
| ~ spl103_148
| ~ spl103_150 ),
inference(resolution,[],[f1402,f1057]) ).
fof(f1402,plain,
( ! [X0] :
( ~ e(X0)
| ~ p1(X0)
| c(f(X0)) )
| ~ spl103_146
| ~ spl103_148 ),
inference(resolution,[],[f1040,f1048]) ).
fof(f1048,plain,
( ! [X2] :
( g(X2)
| ~ e(X2)
| c(f(X2)) )
| ~ spl103_148 ),
inference(avatar_component_clause,[],[f1047]) ).
fof(f1047,plain,
( spl103_148
<=> ! [X2] :
( c(f(X2))
| ~ e(X2)
| g(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_148])]) ).
fof(f1404,plain,
( p1(f(sK98))
| ~ e(sK98)
| g(sK98)
| ~ spl103_147
| ~ spl103_149 ),
inference(resolution,[],[f1044,f1052]) ).
fof(f1052,plain,
( ! [X1] :
( s(X1,f(X1))
| ~ e(X1)
| g(X1) )
| ~ spl103_149 ),
inference(avatar_component_clause,[],[f1051]) ).
fof(f1051,plain,
( spl103_149
<=> ! [X1] :
( s(X1,f(X1))
| ~ e(X1)
| g(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_149])]) ).
fof(f1044,plain,
( ! [X5] :
( ~ s(sK98,X5)
| p1(X5) )
| ~ spl103_147 ),
inference(avatar_component_clause,[],[f1043]) ).
fof(f1043,plain,
( spl103_147
<=> ! [X5] :
( p1(X5)
| ~ s(sK98,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_147])]) ).
fof(f1411,plain,
( ~ spl103_142
| ~ spl103_134
| ~ spl103_135
| ~ spl103_136
| ~ spl103_141 ),
inference(avatar_split_clause,[],[f1406,f1016,f990,f986,f982,f1021]) ).
fof(f1021,plain,
( spl103_142
<=> s1(sK96) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_142])]) ).
fof(f1016,plain,
( spl103_141
<=> r(sK96,sK97) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_141])]) ).
fof(f1406,plain,
( ~ s1(sK96)
| ~ spl103_134
| ~ spl103_135
| ~ spl103_136
| ~ spl103_141 ),
inference(resolution,[],[f1405,f991]) ).
fof(f1405,plain,
( ~ p1(sK96)
| ~ spl103_134
| ~ spl103_135
| ~ spl103_141 ),
inference(resolution,[],[f1403,f1018]) ).
fof(f1018,plain,
( r(sK96,sK97)
| ~ spl103_141 ),
inference(avatar_component_clause,[],[f1016]) ).
fof(f1392,plain,
( spl103_9
| ~ spl103_105
| ~ spl103_106 ),
inference(avatar_split_clause,[],[f1391,f848,f844,f407]) ).
fof(f407,plain,
( spl103_9
<=> ! [X0] : p1(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_9])]) ).
fof(f844,plain,
( spl103_105
<=> ! [X2] :
( q1(X2)
| p1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_105])]) ).
fof(f848,plain,
( spl103_106
<=> ! [X3] :
( p1(X3)
| ~ q1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_106])]) ).
fof(f1391,plain,
( ! [X3] : p1(X3)
| ~ spl103_105
| ~ spl103_106 ),
inference(subsumption_resolution,[],[f849,f845]) ).
fof(f845,plain,
( ! [X2] :
( q1(X2)
| p1(X2) )
| ~ spl103_105 ),
inference(avatar_component_clause,[],[f844]) ).
fof(f849,plain,
( ! [X3] :
( p1(X3)
| ~ q1(X3) )
| ~ spl103_106 ),
inference(avatar_component_clause,[],[f848]) ).
fof(f1390,plain,
( ~ spl103_5
| ~ spl103_9 ),
inference(avatar_contradiction_clause,[],[f1389]) ).
fof(f1389,plain,
( $false
| ~ spl103_5
| ~ spl103_9 ),
inference(subsumption_resolution,[],[f391,f408]) ).
fof(f408,plain,
( ! [X0] : p1(X0)
| ~ spl103_9 ),
inference(avatar_component_clause,[],[f407]) ).
fof(f1386,plain,
( ~ spl103_40
| ~ spl103_50 ),
inference(avatar_contradiction_clause,[],[f1385]) ).
fof(f1385,plain,
( $false
| ~ spl103_40
| ~ spl103_50 ),
inference(subsumption_resolution,[],[f593,f549]) ).
fof(f549,plain,
( ! [X0] : ~ b(X0)
| ~ spl103_40 ),
inference(avatar_component_clause,[],[f548]) ).
fof(f548,plain,
( spl103_40
<=> ! [X0] : ~ b(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_40])]) ).
fof(f593,plain,
( b(sK63)
| ~ spl103_50 ),
inference(avatar_component_clause,[],[f591]) ).
fof(f591,plain,
( spl103_50
<=> b(sK63) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_50])]) ).
fof(f1383,plain,
( ~ spl103_48
| spl103_49 ),
inference(avatar_contradiction_clause,[],[f1378]) ).
fof(f1378,plain,
( $false
| ~ spl103_48
| spl103_49 ),
inference(resolution,[],[f584,f589]) ).
fof(f589,plain,
( ~ a1(sK63)
| spl103_49 ),
inference(avatar_component_clause,[],[f587]) ).
fof(f587,plain,
( spl103_49
<=> a1(sK63) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_49])]) ).
fof(f584,plain,
( ! [X1] : a1(X1)
| ~ spl103_48 ),
inference(avatar_component_clause,[],[f583]) ).
fof(f583,plain,
( spl103_48
<=> ! [X1] : a1(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_48])]) ).
fof(f1376,plain,
( ~ spl103_70
| ~ spl103_66
| ~ spl103_68
| ~ spl103_69 ),
inference(avatar_split_clause,[],[f1373,f675,f670,f663,f679]) ).
fof(f679,plain,
( spl103_70
<=> r1(sK68) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_70])]) ).
fof(f663,plain,
( spl103_66
<=> ! [X2,X1] :
( ~ q(X1,X2)
| ~ p(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_66])]) ).
fof(f670,plain,
( spl103_68
<=> q(f(sK68),sK68) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_68])]) ).
fof(f675,plain,
( spl103_69
<=> ! [X3] :
( p(f(X3),X3)
| ~ r1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_69])]) ).
fof(f1373,plain,
( ~ r1(sK68)
| ~ spl103_66
| ~ spl103_68
| ~ spl103_69 ),
inference(resolution,[],[f676,f1370]) ).
fof(f1370,plain,
( ~ p(f(sK68),sK68)
| ~ spl103_66
| ~ spl103_68 ),
inference(resolution,[],[f664,f672]) ).
fof(f672,plain,
( q(f(sK68),sK68)
| ~ spl103_68 ),
inference(avatar_component_clause,[],[f670]) ).
fof(f664,plain,
( ! [X2,X1] :
( ~ q(X1,X2)
| ~ p(X1,X2) )
| ~ spl103_66 ),
inference(avatar_component_clause,[],[f663]) ).
fof(f676,plain,
( ! [X3] :
( p(f(X3),X3)
| ~ r1(X3) )
| ~ spl103_69 ),
inference(avatar_component_clause,[],[f675]) ).
fof(f1372,plain,
( ~ spl103_66
| ~ spl103_68
| ~ spl103_71 ),
inference(avatar_contradiction_clause,[],[f1371]) ).
fof(f1371,plain,
( $false
| ~ spl103_66
| ~ spl103_68
| ~ spl103_71 ),
inference(subsumption_resolution,[],[f1370,f684]) ).
fof(f684,plain,
( ! [X3] : p(f(X3),X3)
| ~ spl103_71 ),
inference(avatar_component_clause,[],[f683]) ).
fof(f683,plain,
( spl103_71
<=> ! [X3] : p(f(X3),X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_71])]) ).
fof(f1346,plain,
( ~ spl103_38
| spl103_93 ),
inference(avatar_contradiction_clause,[],[f1345]) ).
fof(f1345,plain,
( $false
| ~ spl103_38
| spl103_93 ),
inference(subsumption_resolution,[],[f791,f541]) ).
fof(f541,plain,
( ! [X3] : r1(X3)
| ~ spl103_38 ),
inference(avatar_component_clause,[],[f540]) ).
fof(f791,plain,
( ~ r1(sK76)
| spl103_93 ),
inference(avatar_component_clause,[],[f789]) ).
fof(f789,plain,
( spl103_93
<=> r1(sK76) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_93])]) ).
fof(f1344,plain,
( ~ spl103_38
| spl103_92 ),
inference(avatar_contradiction_clause,[],[f1343]) ).
fof(f1343,plain,
( $false
| ~ spl103_38
| spl103_92 ),
inference(subsumption_resolution,[],[f787,f541]) ).
fof(f787,plain,
( ~ r1(sK75)
| spl103_92 ),
inference(avatar_component_clause,[],[f785]) ).
fof(f785,plain,
( spl103_92
<=> r1(sK75) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_92])]) ).
fof(f1342,plain,
( spl103_41
| ~ spl103_44
| ~ spl103_45 ),
inference(avatar_split_clause,[],[f1341,f569,f565,f552]) ).
fof(f552,plain,
( spl103_41
<=> ! [X0] : ~ a1(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_41])]) ).
fof(f565,plain,
( spl103_44
<=> ! [X0] :
( ~ b(X0)
| ~ a1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_44])]) ).
fof(f569,plain,
( spl103_45
<=> ! [X1] : b(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_45])]) ).
fof(f1341,plain,
( ! [X0] : ~ a1(X0)
| ~ spl103_44
| ~ spl103_45 ),
inference(subsumption_resolution,[],[f566,f570]) ).
fof(f570,plain,
( ! [X1] : b(X1)
| ~ spl103_45 ),
inference(avatar_component_clause,[],[f569]) ).
fof(f566,plain,
( ! [X0] :
( ~ b(X0)
| ~ a1(X0) )
| ~ spl103_44 ),
inference(avatar_component_clause,[],[f565]) ).
fof(f1338,plain,
( ~ spl103_38
| spl103_114 ),
inference(avatar_contradiction_clause,[],[f1337]) ).
fof(f1337,plain,
( $false
| ~ spl103_38
| spl103_114 ),
inference(subsumption_resolution,[],[f892,f541]) ).
fof(f892,plain,
( ~ r1(sK86)
| spl103_114 ),
inference(avatar_component_clause,[],[f890]) ).
fof(f890,plain,
( spl103_114
<=> r1(sK86) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_114])]) ).
fof(f1336,plain,
( ~ spl103_38
| spl103_115 ),
inference(avatar_contradiction_clause,[],[f1335]) ).
fof(f1335,plain,
( $false
| ~ spl103_38
| spl103_115 ),
inference(resolution,[],[f896,f541]) ).
fof(f896,plain,
( ~ r1(sK85)
| spl103_115 ),
inference(avatar_component_clause,[],[f894]) ).
fof(f894,plain,
( spl103_115
<=> r1(sK85) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_115])]) ).
fof(f1328,plain,
( spl103_153
| ~ spl103_155 ),
inference(avatar_contradiction_clause,[],[f1327]) ).
fof(f1327,plain,
( $false
| spl103_153
| ~ spl103_155 ),
inference(subsumption_resolution,[],[f1071,f1080]) ).
fof(f1080,plain,
( ! [X2,X3] : p(X2,X3)
| ~ spl103_155 ),
inference(avatar_component_clause,[],[f1079]) ).
fof(f1079,plain,
( spl103_155
<=> ! [X2,X3] : p(X2,X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_155])]) ).
fof(f1071,plain,
( ~ p(sK99,sK100)
| spl103_153 ),
inference(avatar_component_clause,[],[f1069]) ).
fof(f1069,plain,
( spl103_153
<=> p(sK99,sK100) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_153])]) ).
fof(f1319,plain,
( ~ spl103_155
| spl103_163 ),
inference(avatar_contradiction_clause,[],[f1318]) ).
fof(f1318,plain,
( $false
| ~ spl103_155
| spl103_163 ),
inference(subsumption_resolution,[],[f1117,f1080]) ).
fof(f1117,plain,
( ~ p(sK101,sK101)
| spl103_163 ),
inference(avatar_component_clause,[],[f1115]) ).
fof(f1115,plain,
( spl103_163
<=> p(sK101,sK101) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_163])]) ).
fof(f1311,plain,
( ~ spl103_62
| ~ spl103_64 ),
inference(avatar_contradiction_clause,[],[f1310]) ).
fof(f1310,plain,
( $false
| ~ spl103_62
| ~ spl103_64 ),
inference(subsumption_resolution,[],[f655,f645]) ).
fof(f645,plain,
( ! [X0] : ~ r1(X0)
| ~ spl103_62 ),
inference(avatar_component_clause,[],[f644]) ).
fof(f644,plain,
( spl103_62
<=> ! [X0] : ~ r1(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_62])]) ).
fof(f655,plain,
( r1(sK67)
| ~ spl103_64 ),
inference(avatar_component_clause,[],[f653]) ).
fof(f653,plain,
( spl103_64
<=> r1(sK67) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_64])]) ).
fof(f1309,plain,
( ~ spl103_34
| spl103_63 ),
inference(avatar_contradiction_clause,[],[f1308]) ).
fof(f1308,plain,
( $false
| ~ spl103_34
| spl103_63 ),
inference(subsumption_resolution,[],[f651,f522]) ).
fof(f522,plain,
( ! [X1] : q1(X1)
| ~ spl103_34 ),
inference(avatar_component_clause,[],[f521]) ).
fof(f521,plain,
( spl103_34
<=> ! [X1] : q1(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_34])]) ).
fof(f651,plain,
( ~ q1(sK67)
| spl103_63 ),
inference(avatar_component_clause,[],[f649]) ).
fof(f649,plain,
( spl103_63
<=> q1(sK67) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_63])]) ).
fof(f1307,plain,
( ~ spl103_9
| spl103_104 ),
inference(avatar_contradiction_clause,[],[f1306]) ).
fof(f1306,plain,
( $false
| ~ spl103_9
| spl103_104 ),
inference(subsumption_resolution,[],[f839,f408]) ).
fof(f839,plain,
( ~ p1(sK80)
| spl103_104 ),
inference(avatar_component_clause,[],[f837]) ).
fof(f837,plain,
( spl103_104
<=> p1(sK80) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_104])]) ).
fof(f1305,plain,
( ~ spl103_9
| ~ spl103_81 ),
inference(avatar_contradiction_clause,[],[f1304]) ).
fof(f1304,plain,
( $false
| ~ spl103_9
| ~ spl103_81 ),
inference(subsumption_resolution,[],[f736,f408]) ).
fof(f736,plain,
( ! [X0] : ~ p1(sK70(X0))
| ~ spl103_81 ),
inference(avatar_component_clause,[],[f735]) ).
fof(f735,plain,
( spl103_81
<=> ! [X0] : ~ p1(sK70(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_81])]) ).
fof(f1301,plain,
( ~ spl103_119
| ~ spl103_123
| ~ spl103_165
| spl103_166 ),
inference(avatar_contradiction_clause,[],[f1300]) ).
fof(f1300,plain,
( $false
| ~ spl103_119
| ~ spl103_123
| ~ spl103_165
| spl103_166 ),
inference(subsumption_resolution,[],[f1297,f1274]) ).
fof(f1274,plain,
( a_member_of(sK89(sK88,sK87),sK87)
| ~ spl103_165 ),
inference(avatar_component_clause,[],[f1273]) ).
fof(f1273,plain,
( spl103_165
<=> a_member_of(sK89(sK88,sK87),sK87) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_165])]) ).
fof(f1297,plain,
( ~ a_member_of(sK89(sK88,sK87),sK87)
| ~ spl103_119
| ~ spl103_123
| spl103_166 ),
inference(resolution,[],[f1295,f917]) ).
fof(f917,plain,
( eq(sK87,sK88)
| ~ spl103_119 ),
inference(avatar_component_clause,[],[f915]) ).
fof(f915,plain,
( spl103_119
<=> eq(sK87,sK88) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_119])]) ).
fof(f1295,plain,
( ! [X0] :
( ~ eq(X0,sK88)
| ~ a_member_of(sK89(sK88,sK87),X0) )
| ~ spl103_123
| spl103_166 ),
inference(resolution,[],[f1279,f933]) ).
fof(f933,plain,
( ! [X2,X3,X5] :
( a_member_of(X5,X3)
| ~ eq(X2,X3)
| ~ a_member_of(X5,X2) )
| ~ spl103_123 ),
inference(avatar_component_clause,[],[f932]) ).
fof(f932,plain,
( spl103_123
<=> ! [X2,X5,X3] :
( a_member_of(X5,X3)
| ~ eq(X2,X3)
| ~ a_member_of(X5,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_123])]) ).
fof(f1279,plain,
( ~ a_member_of(sK89(sK88,sK87),sK88)
| spl103_166 ),
inference(avatar_component_clause,[],[f1277]) ).
fof(f1277,plain,
( spl103_166
<=> a_member_of(sK89(sK88,sK87),sK88) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_166])]) ).
fof(f1293,plain,
( spl103_118
| ~ spl103_119
| ~ spl103_121
| ~ spl103_122
| spl103_165 ),
inference(avatar_contradiction_clause,[],[f1292]) ).
fof(f1292,plain,
( $false
| spl103_118
| ~ spl103_119
| ~ spl103_121
| ~ spl103_122
| spl103_165 ),
inference(subsumption_resolution,[],[f1291,f1275]) ).
fof(f1275,plain,
( ~ a_member_of(sK89(sK88,sK87),sK87)
| spl103_165 ),
inference(avatar_component_clause,[],[f1273]) ).
fof(f1291,plain,
( a_member_of(sK89(sK88,sK87),sK87)
| spl103_118
| ~ spl103_119
| ~ spl103_121
| ~ spl103_122
| spl103_165 ),
inference(subsumption_resolution,[],[f1290,f912]) ).
fof(f912,plain,
( ~ eq(sK88,sK87)
| spl103_118 ),
inference(avatar_component_clause,[],[f910]) ).
fof(f910,plain,
( spl103_118
<=> eq(sK88,sK87) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_118])]) ).
fof(f1290,plain,
( eq(sK88,sK87)
| a_member_of(sK89(sK88,sK87),sK87)
| ~ spl103_119
| ~ spl103_121
| ~ spl103_122
| spl103_165 ),
inference(subsumption_resolution,[],[f1287,f917]) ).
fof(f1287,plain,
( ~ eq(sK87,sK88)
| eq(sK88,sK87)
| a_member_of(sK89(sK88,sK87),sK87)
| ~ spl103_121
| ~ spl103_122
| spl103_165 ),
inference(resolution,[],[f1282,f925]) ).
fof(f925,plain,
( ! [X2,X3] :
( a_member_of(sK89(X2,X3),X2)
| eq(X2,X3)
| a_member_of(sK89(X2,X3),X3) )
| ~ spl103_121 ),
inference(avatar_component_clause,[],[f924]) ).
fof(f924,plain,
( spl103_121
<=> ! [X2,X3] :
( eq(X2,X3)
| a_member_of(sK89(X2,X3),X2)
| a_member_of(sK89(X2,X3),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_121])]) ).
fof(f1282,plain,
( ! [X0] :
( ~ a_member_of(sK89(sK88,sK87),X0)
| ~ eq(sK87,X0) )
| ~ spl103_122
| spl103_165 ),
inference(resolution,[],[f1275,f929]) ).
fof(f929,plain,
( ! [X2,X3,X5] :
( a_member_of(X5,X2)
| ~ eq(X2,X3)
| ~ a_member_of(X5,X3) )
| ~ spl103_122 ),
inference(avatar_component_clause,[],[f928]) ).
fof(f928,plain,
( spl103_122
<=> ! [X2,X5,X3] :
( a_member_of(X5,X2)
| ~ eq(X2,X3)
| ~ a_member_of(X5,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_122])]) ).
fof(f1280,plain,
( ~ spl103_165
| ~ spl103_166
| spl103_118
| ~ spl103_120 ),
inference(avatar_split_clause,[],[f1271,f920,f910,f1277,f1273]) ).
fof(f920,plain,
( spl103_120
<=> ! [X2,X3] :
( eq(X2,X3)
| ~ a_member_of(sK89(X2,X3),X2)
| ~ a_member_of(sK89(X2,X3),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_120])]) ).
fof(f1271,plain,
( ~ a_member_of(sK89(sK88,sK87),sK88)
| ~ a_member_of(sK89(sK88,sK87),sK87)
| spl103_118
| ~ spl103_120 ),
inference(resolution,[],[f921,f912]) ).
fof(f921,plain,
( ! [X2,X3] :
( eq(X2,X3)
| ~ a_member_of(sK89(X2,X3),X2)
| ~ a_member_of(sK89(X2,X3),X3) )
| ~ spl103_120 ),
inference(avatar_component_clause,[],[f920]) ).
fof(f1270,plain,
( ~ spl103_58
| ~ spl103_59 ),
inference(avatar_contradiction_clause,[],[f1269]) ).
fof(f1269,plain,
( $false
| ~ spl103_58
| ~ spl103_59 ),
inference(resolution,[],[f633,f629]) ).
fof(f629,plain,
( ! [X0] : ~ a(X0,X0)
| ~ spl103_58 ),
inference(avatar_component_clause,[],[f628]) ).
fof(f628,plain,
( spl103_58
<=> ! [X0] : ~ a(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_58])]) ).
fof(f633,plain,
( ! [X1] : a(sK66(X1),sK66(X1))
| ~ spl103_59 ),
inference(avatar_component_clause,[],[f632]) ).
fof(f632,plain,
( spl103_59
<=> ! [X1] : a(sK66(X1),sK66(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_59])]) ).
fof(f1265,plain,
( spl103_36
| ~ spl103_38 ),
inference(avatar_contradiction_clause,[],[f1264]) ).
fof(f1264,plain,
( $false
| spl103_36
| ~ spl103_38 ),
inference(subsumption_resolution,[],[f532,f541]) ).
fof(f532,plain,
( ~ r1(sK60)
| spl103_36 ),
inference(avatar_component_clause,[],[f530]) ).
fof(f530,plain,
( spl103_36
<=> r1(sK60) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_36])]) ).
fof(f1263,plain,
( ~ spl103_96
| ~ spl103_97 ),
inference(avatar_contradiction_clause,[],[f1262]) ).
fof(f1262,plain,
( $false
| ~ spl103_96
| ~ spl103_97 ),
inference(subsumption_resolution,[],[f807,f802]) ).
fof(f802,plain,
( ! [X2] : ~ q1(X2)
| ~ spl103_96 ),
inference(avatar_component_clause,[],[f801]) ).
fof(f801,plain,
( spl103_96
<=> ! [X2] : ~ q1(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_96])]) ).
fof(f1261,plain,
( ~ spl103_96
| ~ spl103_101 ),
inference(avatar_contradiction_clause,[],[f1260]) ).
fof(f1260,plain,
( $false
| ~ spl103_96
| ~ spl103_101 ),
inference(resolution,[],[f826,f802]) ).
fof(f1259,plain,
( ~ spl103_38
| spl103_99 ),
inference(avatar_contradiction_clause,[],[f1258]) ).
fof(f1258,plain,
( $false
| ~ spl103_38
| spl103_99 ),
inference(subsumption_resolution,[],[f816,f541]) ).
fof(f816,plain,
( ~ r1(sK77)
| spl103_99 ),
inference(avatar_component_clause,[],[f814]) ).
fof(f814,plain,
( spl103_99
<=> r1(sK77) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_99])]) ).
fof(f1257,plain,
( ~ spl103_38
| spl103_100 ),
inference(avatar_contradiction_clause,[],[f1256]) ).
fof(f1256,plain,
( $false
| ~ spl103_38
| spl103_100 ),
inference(resolution,[],[f820,f541]) ).
fof(f820,plain,
( ~ r1(sK78)
| spl103_100 ),
inference(avatar_component_clause,[],[f818]) ).
fof(f818,plain,
( spl103_100
<=> r1(sK78) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_100])]) ).
fof(f1253,plain,
( spl103_96
| ~ spl103_9
| ~ spl103_94 ),
inference(avatar_split_clause,[],[f1252,f793,f407,f801]) ).
fof(f1252,plain,
( ! [X2] : ~ q1(X2)
| ~ spl103_9
| ~ spl103_94 ),
inference(subsumption_resolution,[],[f794,f408]) ).
fof(f1247,plain,
( ~ spl103_38
| ~ spl103_62 ),
inference(avatar_contradiction_clause,[],[f1246]) ).
fof(f1246,plain,
( $false
| ~ spl103_38
| ~ spl103_62 ),
inference(subsumption_resolution,[],[f541,f645]) ).
fof(f1245,plain,
( ~ spl103_40
| ~ spl103_42 ),
inference(avatar_contradiction_clause,[],[f1244]) ).
fof(f1244,plain,
( $false
| ~ spl103_40
| ~ spl103_42 ),
inference(subsumption_resolution,[],[f558,f549]) ).
fof(f558,plain,
( b(sK61)
| ~ spl103_42 ),
inference(avatar_component_clause,[],[f556]) ).
fof(f556,plain,
( spl103_42
<=> b(sK61) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_42])]) ).
fof(f1243,plain,
( ~ spl103_9
| spl103_103 ),
inference(avatar_contradiction_clause,[],[f1242]) ).
fof(f1242,plain,
( $false
| ~ spl103_9
| spl103_103 ),
inference(subsumption_resolution,[],[f835,f408]) ).
fof(f835,plain,
( ~ p1(sK79)
| spl103_103 ),
inference(avatar_component_clause,[],[f833]) ).
fof(f833,plain,
( spl103_103
<=> p1(sK79) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_103])]) ).
fof(f1241,plain,
( ~ spl103_8
| ~ spl103_9 ),
inference(avatar_contradiction_clause,[],[f1240]) ).
fof(f1240,plain,
( $false
| ~ spl103_8
| ~ spl103_9 ),
inference(subsumption_resolution,[],[f404,f408]) ).
fof(f404,plain,
( ! [X0] : ~ p1(sK43(X0))
| ~ spl103_8 ),
inference(avatar_component_clause,[],[f403]) ).
fof(f403,plain,
( spl103_8
<=> ! [X0] : ~ p1(sK43(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_8])]) ).
fof(f1235,plain,
( ~ spl103_26
| ~ spl103_27 ),
inference(avatar_contradiction_clause,[],[f1234]) ).
fof(f1234,plain,
( $false
| ~ spl103_26
| ~ spl103_27 ),
inference(subsumption_resolution,[],[f1233,f489]) ).
fof(f489,plain,
( ! [X1] :
( ~ a(X1,X1)
| ~ a(X1,sK55) )
| ~ spl103_27 ),
inference(avatar_component_clause,[],[f488]) ).
fof(f488,plain,
( spl103_27
<=> ! [X1] :
( ~ a(X1,X1)
| ~ a(X1,sK55) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_27])]) ).
fof(f1233,plain,
( a(sK55,sK55)
| ~ spl103_26 ),
inference(factoring,[],[f485]) ).
fof(f485,plain,
( ! [X1] :
( a(X1,sK55)
| a(X1,X1) )
| ~ spl103_26 ),
inference(avatar_component_clause,[],[f484]) ).
fof(f484,plain,
( spl103_26
<=> ! [X1] :
( a(X1,sK55)
| a(X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_26])]) ).
fof(f1225,plain,
( ~ spl103_67
| ~ spl103_129 ),
inference(avatar_contradiction_clause,[],[f1224]) ).
fof(f1224,plain,
( $false
| ~ spl103_67
| ~ spl103_129 ),
inference(subsumption_resolution,[],[f1217,f668]) ).
fof(f668,plain,
( ! [X2,X1] : ~ p(X1,X2)
| ~ spl103_67 ),
inference(avatar_component_clause,[],[f667]) ).
fof(f667,plain,
( spl103_67
<=> ! [X2,X1] : ~ p(X1,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_67])]) ).
fof(f1217,plain,
( ! [X0,X1] : p(X0,X1)
| ~ spl103_67
| ~ spl103_129 ),
inference(resolution,[],[f957,f668]) ).
fof(f957,plain,
( ! [X2,X0] :
( p(X2,sK90(X0))
| p(X0,X2) )
| ~ spl103_129 ),
inference(avatar_component_clause,[],[f956]) ).
fof(f956,plain,
( spl103_129
<=> ! [X2,X0] :
( p(X0,X2)
| p(X2,sK90(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_129])]) ).
fof(f1209,plain,
( ~ spl103_41
| ~ spl103_46 ),
inference(avatar_contradiction_clause,[],[f1208]) ).
fof(f1208,plain,
( $false
| ~ spl103_41
| ~ spl103_46 ),
inference(subsumption_resolution,[],[f575,f553]) ).
fof(f553,plain,
( ! [X0] : ~ a1(X0)
| ~ spl103_41 ),
inference(avatar_component_clause,[],[f552]) ).
fof(f575,plain,
( a1(sK62)
| ~ spl103_46 ),
inference(avatar_component_clause,[],[f573]) ).
fof(f573,plain,
( spl103_46
<=> a1(sK62) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_46])]) ).
fof(f1207,plain,
( spl103_34
| ~ spl103_9
| ~ spl103_56 ),
inference(avatar_split_clause,[],[f1206,f620,f407,f521]) ).
fof(f1206,plain,
( ! [X2] : q1(X2)
| ~ spl103_9
| ~ spl103_56 ),
inference(subsumption_resolution,[],[f621,f408]) ).
fof(f1205,plain,
( ~ spl103_34
| spl103_55 ),
inference(avatar_contradiction_clause,[],[f1204]) ).
fof(f1204,plain,
( $false
| ~ spl103_34
| spl103_55 ),
inference(subsumption_resolution,[],[f616,f522]) ).
fof(f616,plain,
( ~ q1(sK65)
| spl103_55 ),
inference(avatar_component_clause,[],[f614]) ).
fof(f614,plain,
( spl103_55
<=> q1(sK65) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_55])]) ).
fof(f1201,plain,
( ~ spl103_89
| ~ spl103_53
| spl103_88 ),
inference(avatar_split_clause,[],[f1198,f767,f606,f772]) ).
fof(f772,plain,
( spl103_89
<=> a1(sK74) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_89])]) ).
fof(f606,plain,
( spl103_53
<=> ! [X2] :
( b(X2)
| ~ a1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_53])]) ).
fof(f767,plain,
( spl103_88
<=> b(sK74) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_88])]) ).
fof(f1198,plain,
( ~ a1(sK74)
| ~ spl103_53
| spl103_88 ),
inference(resolution,[],[f607,f769]) ).
fof(f769,plain,
( ~ b(sK74)
| spl103_88 ),
inference(avatar_component_clause,[],[f767]) ).
fof(f607,plain,
( ! [X2] :
( b(X2)
| ~ a1(X2) )
| ~ spl103_53 ),
inference(avatar_component_clause,[],[f606]) ).
fof(f1197,plain,
( spl103_53
| ~ spl103_87
| ~ spl103_90 ),
inference(avatar_split_clause,[],[f1196,f777,f763,f606]) ).
fof(f763,plain,
( spl103_87
<=> ! [X0] :
( ~ c(X0)
| ~ a1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_87])]) ).
fof(f777,plain,
( spl103_90
<=> ! [X2] :
( c(X2)
| ~ a1(X2)
| b(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_90])]) ).
fof(f1196,plain,
( ! [X2] :
( ~ a1(X2)
| b(X2) )
| ~ spl103_87
| ~ spl103_90 ),
inference(subsumption_resolution,[],[f778,f764]) ).
fof(f764,plain,
( ! [X0] :
( ~ c(X0)
| ~ a1(X0) )
| ~ spl103_87 ),
inference(avatar_component_clause,[],[f763]) ).
fof(f778,plain,
( ! [X2] :
( c(X2)
| ~ a1(X2)
| b(X2) )
| ~ spl103_90 ),
inference(avatar_component_clause,[],[f777]) ).
fof(f1190,plain,
( ~ spl103_9
| ~ spl103_84 ),
inference(avatar_contradiction_clause,[],[f1189]) ).
fof(f1189,plain,
( $false
| ~ spl103_9
| ~ spl103_84 ),
inference(subsumption_resolution,[],[f750,f408]) ).
fof(f750,plain,
( ! [X0] : ~ p1(sK72(X0))
| ~ spl103_84 ),
inference(avatar_component_clause,[],[f749]) ).
fof(f749,plain,
( spl103_84
<=> ! [X0] : ~ p1(sK72(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_84])]) ).
fof(f1188,plain,
( ~ spl103_22
| ~ spl103_23 ),
inference(avatar_contradiction_clause,[],[f1187]) ).
fof(f1187,plain,
( $false
| ~ spl103_22
| ~ spl103_23 ),
inference(subsumption_resolution,[],[f473,f468]) ).
fof(f468,plain,
( ! [X2,X3] : ~ a(X2,X3)
| ~ spl103_22 ),
inference(avatar_component_clause,[],[f467]) ).
fof(f467,plain,
( spl103_22
<=> ! [X2,X3] : ~ a(X2,X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_22])]) ).
fof(f473,plain,
( a(sK53,sK54)
| ~ spl103_23 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f471,plain,
( spl103_23
<=> a(sK53,sK54) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_23])]) ).
fof(f1186,plain,
( ~ spl103_22
| ~ spl103_24 ),
inference(avatar_contradiction_clause,[],[f1185]) ).
fof(f1185,plain,
( $false
| ~ spl103_22
| ~ spl103_24 ),
inference(resolution,[],[f477,f468]) ).
fof(f477,plain,
( a(sK52,sK51)
| ~ spl103_24 ),
inference(avatar_component_clause,[],[f475]) ).
fof(f475,plain,
( spl103_24
<=> a(sK52,sK51) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_24])]) ).
fof(f1184,plain,
( spl103_33
| ~ spl103_34 ),
inference(avatar_contradiction_clause,[],[f1183]) ).
fof(f1183,plain,
( $false
| spl103_33
| ~ spl103_34 ),
inference(subsumption_resolution,[],[f518,f522]) ).
fof(f518,plain,
( ~ q1(sK58)
| spl103_33 ),
inference(avatar_component_clause,[],[f516]) ).
fof(f516,plain,
( spl103_33
<=> q1(sK58) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_33])]) ).
fof(f1182,plain,
( ~ spl103_41
| ~ spl103_52 ),
inference(avatar_contradiction_clause,[],[f1181]) ).
fof(f1181,plain,
( $false
| ~ spl103_41
| ~ spl103_52 ),
inference(resolution,[],[f553,f603]) ).
fof(f603,plain,
( a1(sK64)
| ~ spl103_52 ),
inference(avatar_component_clause,[],[f601]) ).
fof(f601,plain,
( spl103_52
<=> a1(sK64) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_52])]) ).
fof(f1180,plain,
( spl103_41
| ~ spl103_40
| ~ spl103_53 ),
inference(avatar_split_clause,[],[f1179,f606,f548,f552]) ).
fof(f1179,plain,
( ! [X0] : ~ a1(X0)
| ~ spl103_40
| ~ spl103_53 ),
inference(resolution,[],[f607,f549]) ).
fof(f1174,plain,
( ~ spl103_62
| ~ spl103_70 ),
inference(avatar_contradiction_clause,[],[f1173]) ).
fof(f1173,plain,
( $false
| ~ spl103_62
| ~ spl103_70 ),
inference(resolution,[],[f681,f645]) ).
fof(f681,plain,
( r1(sK68)
| ~ spl103_70 ),
inference(avatar_component_clause,[],[f679]) ).
fof(f1172,plain,
( spl103_62
| ~ spl103_67
| ~ spl103_69 ),
inference(avatar_split_clause,[],[f1171,f675,f667,f644]) ).
fof(f1171,plain,
( ! [X3] : ~ r1(X3)
| ~ spl103_67
| ~ spl103_69 ),
inference(subsumption_resolution,[],[f676,f668]) ).
fof(f1170,plain,
( ~ spl103_67
| ~ spl103_71 ),
inference(avatar_contradiction_clause,[],[f1169]) ).
fof(f1169,plain,
( $false
| ~ spl103_67
| ~ spl103_71 ),
inference(subsumption_resolution,[],[f684,f668]) ).
fof(f1155,plain,
( spl103_67
| ~ spl103_125
| ~ spl103_126 ),
inference(avatar_split_clause,[],[f1154,f944,f940,f667]) ).
fof(f940,plain,
( spl103_125
<=> ! [X2,X0,X3] :
( ~ p(X2,sK90(X0))
| ~ p(X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_125])]) ).
fof(f944,plain,
( spl103_126
<=> ! [X2,X0,X3] :
( p(X2,X0)
| ~ p(X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_126])]) ).
fof(f1154,plain,
( ! [X2,X3] : ~ p(X3,X2)
| ~ spl103_125
| ~ spl103_126 ),
inference(subsumption_resolution,[],[f941,f945]) ).
fof(f945,plain,
( ! [X2,X3,X0] :
( ~ p(X3,X2)
| p(X2,X0) )
| ~ spl103_126 ),
inference(avatar_component_clause,[],[f944]) ).
fof(f941,plain,
( ! [X2,X3,X0] :
( ~ p(X2,sK90(X0))
| ~ p(X3,X2) )
| ~ spl103_125 ),
inference(avatar_component_clause,[],[f940]) ).
fof(f1153,plain,
( ~ spl103_9
| spl103_109 ),
inference(avatar_contradiction_clause,[],[f1152]) ).
fof(f1152,plain,
( $false
| ~ spl103_9
| spl103_109 ),
inference(subsumption_resolution,[],[f862,f408]) ).
fof(f862,plain,
( ~ p1(sK82)
| spl103_109 ),
inference(avatar_component_clause,[],[f860]) ).
fof(f860,plain,
( spl103_109
<=> p1(sK82) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_109])]) ).
fof(f1151,plain,
( ~ spl103_9
| spl103_108 ),
inference(avatar_contradiction_clause,[],[f1150]) ).
fof(f1150,plain,
( $false
| ~ spl103_9
| spl103_108 ),
inference(subsumption_resolution,[],[f858,f408]) ).
fof(f858,plain,
( ~ p1(sK81)
| spl103_108 ),
inference(avatar_component_clause,[],[f856]) ).
fof(f856,plain,
( spl103_108
<=> p1(sK81) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_108])]) ).
fof(f1149,plain,
( ~ spl103_9
| spl103_31 ),
inference(avatar_contradiction_clause,[],[f1148]) ).
fof(f1148,plain,
( $false
| ~ spl103_9
| spl103_31 ),
inference(subsumption_resolution,[],[f508,f408]) ).
fof(f508,plain,
( ~ p1(sK57)
| spl103_31 ),
inference(avatar_component_clause,[],[f506]) ).
fof(f506,plain,
( spl103_31
<=> p1(sK57) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_31])]) ).
fof(f1147,plain,
( ~ spl103_9
| spl103_30 ),
inference(avatar_contradiction_clause,[],[f1146]) ).
fof(f1146,plain,
( $false
| ~ spl103_9
| spl103_30 ),
inference(subsumption_resolution,[],[f504,f408]) ).
fof(f504,plain,
( ~ p1(sK56)
| spl103_30 ),
inference(avatar_component_clause,[],[f502]) ).
fof(f502,plain,
( spl103_30
<=> p1(sK56) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_30])]) ).
fof(f1145,plain,
( ~ spl103_9
| spl103_20 ),
inference(avatar_contradiction_clause,[],[f1144]) ).
fof(f1144,plain,
( $false
| ~ spl103_9
| spl103_20 ),
inference(subsumption_resolution,[],[f459,f408]) ).
fof(f459,plain,
( ~ p1(sK50)
| spl103_20 ),
inference(avatar_component_clause,[],[f457]) ).
fof(f457,plain,
( spl103_20
<=> p1(sK50) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_20])]) ).
fof(f1143,plain,
( ~ spl103_9
| spl103_112 ),
inference(avatar_contradiction_clause,[],[f1142]) ).
fof(f1142,plain,
( $false
| ~ spl103_9
| spl103_112 ),
inference(subsumption_resolution,[],[f879,f408]) ).
fof(f879,plain,
( ~ p1(sK84)
| spl103_112 ),
inference(avatar_component_clause,[],[f877]) ).
fof(f877,plain,
( spl103_112
<=> p1(sK84) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_112])]) ).
fof(f1141,plain,
( ~ spl103_9
| spl103_111 ),
inference(avatar_contradiction_clause,[],[f1140]) ).
fof(f1140,plain,
( $false
| ~ spl103_9
| spl103_111 ),
inference(subsumption_resolution,[],[f875,f408]) ).
fof(f875,plain,
( ~ p1(sK83)
| spl103_111 ),
inference(avatar_component_clause,[],[f873]) ).
fof(f873,plain,
( spl103_111
<=> p1(sK83) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_111])]) ).
fof(f1139,plain,
( ~ spl103_9
| spl103_16 ),
inference(avatar_contradiction_clause,[],[f1138]) ).
fof(f1138,plain,
( $false
| ~ spl103_9
| spl103_16 ),
inference(subsumption_resolution,[],[f441,f408]) ).
fof(f441,plain,
( ~ p1(sK48)
| spl103_16 ),
inference(avatar_component_clause,[],[f439]) ).
fof(f439,plain,
( spl103_16
<=> p1(sK48) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_16])]) ).
fof(f1137,plain,
( ~ spl103_9
| spl103_17 ),
inference(avatar_contradiction_clause,[],[f1136]) ).
fof(f1136,plain,
( $false
| ~ spl103_9
| spl103_17 ),
inference(subsumption_resolution,[],[f445,f408]) ).
fof(f445,plain,
( ~ p1(sK47)
| spl103_17 ),
inference(avatar_component_clause,[],[f443]) ).
fof(f443,plain,
( spl103_17
<=> p1(sK47) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_17])]) ).
fof(f1135,plain,
( ~ spl103_9
| spl103_19 ),
inference(avatar_contradiction_clause,[],[f1134]) ).
fof(f1134,plain,
( $false
| ~ spl103_9
| spl103_19 ),
inference(resolution,[],[f455,f408]) ).
fof(f455,plain,
( ~ p1(sK49)
| spl103_19 ),
inference(avatar_component_clause,[],[f453]) ).
fof(f453,plain,
( spl103_19
<=> p1(sK49) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_19])]) ).
fof(f1133,plain,
( ~ spl103_2
| ~ spl103_3 ),
inference(avatar_contradiction_clause,[],[f1132]) ).
fof(f1132,plain,
( $false
| ~ spl103_2
| ~ spl103_3 ),
inference(resolution,[],[f383,f379]) ).
fof(f379,plain,
( ! [X1] : ~ p(X1,sK40)
| ~ spl103_2 ),
inference(avatar_component_clause,[],[f378]) ).
fof(f378,plain,
( spl103_2
<=> ! [X1] : ~ p(X1,sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_2])]) ).
fof(f383,plain,
( ! [X3] : p(sK41,X3)
| ~ spl103_3 ),
inference(avatar_component_clause,[],[f382]) ).
fof(f382,plain,
( spl103_3
<=> ! [X3] : p(sK41,X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_3])]) ).
fof(f1131,plain,
( ~ spl103_5
| ~ spl103_6 ),
inference(avatar_contradiction_clause,[],[f1130]) ).
fof(f1130,plain,
( $false
| ~ spl103_5
| ~ spl103_6 ),
inference(resolution,[],[f396,f391]) ).
fof(f396,plain,
( p1(sK42)
| ~ spl103_6 ),
inference(avatar_component_clause,[],[f394]) ).
fof(f394,plain,
( spl103_6
<=> p1(sK42) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_6])]) ).
fof(f1129,plain,
( spl103_113
| spl103_98
| spl103_91
| spl103_86
| spl103_144
| spl103_140
| spl103_29
| spl103_83
| spl103_80
| spl103_57
| spl103_133
| spl103_110
| spl103_130
| spl103_28
| spl103_54
| spl103_107
| spl103_51
| spl103_47
| spl103_25
| spl103_43
| spl103_39
| spl103_21
| spl103_18
| spl103_15
| spl103_12
| spl103_10
| spl103_124
| spl103_117
| spl103_102
| spl103_7
| spl103_76
| spl103_35
| spl103_4
| spl103_1
| spl103_162
| spl103_164
| spl103_155
| spl103_32
| spl103_75
| spl103_72
| spl103_152
| spl103_65
| spl103_61 ),
inference(avatar_split_clause,[],[f365,f640,f659,f1065,f687,f703,f512,f1079,f1121,f1111,f374,f386,f526,f711,f399,f829,f906,f936,f411,f421,f435,f449,f463,f544,f561,f480,f578,f596,f852,f610,f492,f960,f869,f978,f624,f730,f744,f498,f1009,f1031,f759,f781,f810,f886]) ).
fof(f886,plain,
( spl103_113
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_113])]) ).
fof(f810,plain,
( spl103_98
<=> sP11 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_98])]) ).
fof(f781,plain,
( spl103_91
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_91])]) ).
fof(f759,plain,
( spl103_86
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_86])]) ).
fof(f1031,plain,
( spl103_144
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_144])]) ).
fof(f1009,plain,
( spl103_140
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_140])]) ).
fof(f498,plain,
( spl103_29
<=> sP29 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_29])]) ).
fof(f744,plain,
( spl103_83
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_83])]) ).
fof(f730,plain,
( spl103_80
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_80])]) ).
fof(f624,plain,
( spl103_57
<=> sP21 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_57])]) ).
fof(f978,plain,
( spl103_133
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_133])]) ).
fof(f869,plain,
( spl103_110
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_110])]) ).
fof(f960,plain,
( spl103_130
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_130])]) ).
fof(f492,plain,
( spl103_28
<=> sP30 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_28])]) ).
fof(f610,plain,
( spl103_54
<=> sP22 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_54])]) ).
fof(f852,plain,
( spl103_107
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_107])]) ).
fof(f596,plain,
( spl103_51
<=> sP23 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_51])]) ).
fof(f578,plain,
( spl103_47
<=> sP24 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_47])]) ).
fof(f480,plain,
( spl103_25
<=> sP31 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_25])]) ).
fof(f561,plain,
( spl103_43
<=> sP25 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_43])]) ).
fof(f544,plain,
( spl103_39
<=> sP26 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_39])]) ).
fof(f463,plain,
( spl103_21
<=> sP32 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_21])]) ).
fof(f449,plain,
( spl103_18
<=> sP33 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_18])]) ).
fof(f435,plain,
( spl103_15
<=> sP34 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_15])]) ).
fof(f421,plain,
( spl103_12
<=> sP35 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_12])]) ).
fof(f411,plain,
( spl103_10
<=> sP36 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_10])]) ).
fof(f936,plain,
( spl103_124
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_124])]) ).
fof(f906,plain,
( spl103_117
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_117])]) ).
fof(f829,plain,
( spl103_102
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_102])]) ).
fof(f399,plain,
( spl103_7
<=> sP37 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_7])]) ).
fof(f711,plain,
( spl103_76
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_76])]) ).
fof(f526,plain,
( spl103_35
<=> sP27 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_35])]) ).
fof(f386,plain,
( spl103_4
<=> sP38 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_4])]) ).
fof(f374,plain,
( spl103_1
<=> sP39 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_1])]) ).
fof(f1111,plain,
( spl103_162
<=> p1(z) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_162])]) ).
fof(f512,plain,
( spl103_32
<=> sP28 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_32])]) ).
fof(f703,plain,
( spl103_75
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_75])]) ).
fof(f687,plain,
( spl103_72
<=> sP18 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_72])]) ).
fof(f1065,plain,
( spl103_152
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_152])]) ).
fof(f659,plain,
( spl103_65
<=> sP19 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_65])]) ).
fof(f640,plain,
( spl103_61
<=> sP20 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_61])]) ).
fof(f365,plain,
! [X2,X1] :
( sP20
| sP19
| sP0
| sP18
| sP17
| sP28
| p(X1,X2)
| p1(sK102)
| p1(z)
| sP39
| sP38
| sP27
| sP16
| sP37
| sP10
| sP6
| sP5
| sP36
| sP35
| sP34
| sP33
| sP32
| sP26
| sP25
| sP31
| sP24
| sP23
| sP9
| sP22
| sP30
| sP4
| sP8
| sP3
| sP21
| sP15
| sP14
| sP29
| sP2
| sP1
| sP13
| sP12
| sP11
| sP7 ),
inference(cnf_transformation,[],[f212]) ).
fof(f212,plain,
( sP20
| sP19
| sP0
| sP18
| sP17
| sP28
| ( ~ p(sK101,sK101)
& ! [X1,X2] : p(X1,X2) )
| ( ! [X3] : ~ p1(X3)
& p1(sK102) )
| ( ~ p1(z)
& p1(z) )
| sP39
| sP38
| sP27
| sP16
| sP37
| sP10
| sP6
| sP5
| sP36
| sP35
| sP34
| sP33
| sP32
| sP26
| sP25
| sP31
| sP24
| sP23
| sP9
| sP22
| sP30
| sP4
| sP8
| sP3
| sP21
| sP15
| sP14
| sP29
| sP2
| sP1
| sP13
| sP12
| sP11
| sP7 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK101,sK102])],[f209,f211,f210]) ).
fof(f210,plain,
( ? [X0] : ~ p(X0,X0)
=> ~ p(sK101,sK101) ),
introduced(choice_axiom,[]) ).
fof(f211,plain,
( ? [X4] : p1(X4)
=> p1(sK102) ),
introduced(choice_axiom,[]) ).
fof(f209,plain,
( sP20
| sP19
| sP0
| sP18
| sP17
| sP28
| ( ? [X0] : ~ p(X0,X0)
& ! [X1,X2] : p(X1,X2) )
| ( ! [X3] : ~ p1(X3)
& ? [X4] : p1(X4) )
| ( ~ p1(z)
& p1(z) )
| sP39
| sP38
| sP27
| sP16
| sP37
| sP10
| sP6
| sP5
| sP36
| sP35
| sP34
| sP33
| sP32
| sP26
| sP25
| sP31
| sP24
| sP23
| sP9
| sP22
| sP30
| sP4
| sP8
| sP3
| sP21
| sP15
| sP14
| sP29
| sP2
| sP1
| sP13
| sP12
| sP11
| sP7 ),
inference(rectify,[],[f47]) ).
fof(f47,plain,
( sP20
| sP19
| sP0
| sP18
| sP17
| sP28
| ( ? [X15] : ~ p(X15,X15)
& ! [X13,X14] : p(X13,X14) )
| ( ! [X17] : ~ p1(X17)
& ? [X16] : p1(X16) )
| ( ~ p1(z)
& p1(z) )
| sP39
| sP38
| sP27
| sP16
| sP37
| sP10
| sP6
| sP5
| sP36
| sP35
| sP34
| sP33
| sP32
| sP26
| sP25
| sP31
| sP24
| sP23
| sP9
| sP22
| sP30
| sP4
| sP8
| sP3
| sP21
| sP15
| sP14
| sP29
| sP2
| sP1
| sP13
| sP12
| sP11
| sP7 ),
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,
( ? [X7,X8] :
! [X9,X10] :
( ~ p(X7,X8)
& s1(X7)
& ( p(X9,X10)
| ~ s1(X7) )
& r1(X8)
& r1(X7)
& ( p(X8,X10)
| ~ r1(X10) )
& q1(X8)
& q1(X7)
& ( p(X9,X7)
| ~ q1(X9) ) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f8,plain,
( ? [X118] :
! [X119,X120,X121,X122,X123] :
( ( ~ c(X122)
| ~ p1(X122) )
& ( ~ g(X121)
| ~ p1(X121) )
& ( p1(X123)
| ~ s(X118,X123) )
& ( c(f(X120))
| g(X120)
| ~ e(X120) )
& ( s(X119,f(X119))
| g(X119)
| ~ e(X119) )
& e(X118)
& p1(X118) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f9,plain,
( ? [X110,X111,X112] :
( ! [X116,X117] :
( ~ q(X116,X117)
| ~ p1(X116) )
& ! [X113,X114] :
( q(X113,X114)
| ~ r(X113,X114) )
& ! [X115] :
( p1(X115)
| ~ s1(X115) )
& r(X111,X112)
& s1(X111)
& s1(X110) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f10,plain,
( ? [X88,X89,X90] :
( ! [X94,X95] :
( ~ q(X94,X95)
| ~ p1(X94) )
& ! [X91,X92] :
( q(X91,X92)
| ~ r(X91,X92) )
& ! [X93] :
( p1(X93)
| ~ s1(X93) )
& r(X89,X90)
& s1(X89)
& s1(X88) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f11,plain,
( ( ( ( ( ( ~ q0
& q0 )
| ( b0
& ~ b0 ) )
& a0 )
| ! [X83] : ~ p1(X83) )
& ? [X82] : p1(X82) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f12,plain,
( ! [X42] :
? [X43] :
! [X44] :
( ( ~ p(X44,X43)
& p(X44,X42)
& p(X42,X44) )
| ( ! [X45] : ~ p(X45,X44)
& p(X44,X43) ) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f13,plain,
( ( ? [X40,X41] :
( ~ eq(X41,X40)
& eq(X40,X41) )
& ! [X37,X38] :
( eq(X37,X38)
<=> ! [X39] :
( a_member_of(X39,X37)
<=> a_member_of(X39,X38) ) ) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f14,plain,
( ? [X136,X137] :
( ! [X139,X140] :
( ~ q1(X139)
| ( ( ~ r1(X136)
| ~ r1(X137) )
& r1(X140) )
| ( ~ p1(X139)
& p1(f(X140)) ) )
& ! [X138] : q1(f(X138)) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f15,plain,
( ? [X84,X85] :
( ! [X87] :
( ( ~ p1(X85)
& q1(X87) )
| ( ~ p1(X84)
& p1(X87) ) )
& ! [X86] :
( p1(X86)
| ~ q1(X86) ) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f16,plain,
( ? [X73,X74] :
( ! [X76] :
( ( ~ p1(X74)
& q1(X76) )
| ( ~ p1(X73)
& p1(X76) ) )
& ! [X75] :
( p1(X75)
| ~ q1(X75) ) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f17,plain,
( ? [X33,X34] :
( ! [X36] :
( ( ~ p1(X34)
& q1(X36) )
| ( ~ p1(X33)
& p1(X36) ) )
& ! [X35] :
( p1(X35)
| ~ q1(X35) ) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f18,plain,
( ? [X131,X132] :
( ! [X134,X135] :
( ~ q1(X134)
| ( ( ( ( ~ r1(X132)
| ~ r1(X131) )
& r1(X135) )
| ~ p1(X134) )
& p1(f(X135)) ) )
& ! [X133] : q1(f(X133)) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f19,plain,
( ? [X127,X128] :
( ! [X129,X130] :
( ~ q1(X129)
| ( ( ( ( ~ r1(X128)
| ~ r1(X127) )
& r1(X130) )
| ~ p1(X129) )
& p1(f(X130)) ) )
& q1(f(X127)) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f20,plain,
( ( ! [X126] :
( ~ c(X126)
| ~ a1(X126) )
& ? [X124] :
( ~ b(X124)
& a1(X124) )
& ! [X125] :
( c(X125)
| b(X125)
| ~ a1(X125) ) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f21,plain,
( ( ! [X105] :
? [X106] :
( ~ r1(X105)
& ~ p1(X106) )
& ? [X103] : q1(X103)
& ! [X104] : p1(X104) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f22,plain,
( ( ! [X101] :
? [X102] :
( ~ r1(X101)
& ~ p1(X102) )
& ! [X99] :
? [X100] :
( q1(X100)
& p1(X99) ) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f23,plain,
( ? [X28] :
( ~ q1(X28)
& ! [X30] :
( p1(X30)
| ~ r1(X30) )
& r1(X28)
& ! [X29] :
( q1(X29)
| ~ p1(X29) ) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f24,plain,
( ( ~ b0
& ~ a0
& ( a0
<~> b0 ) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f25,plain,
( ( ( a0
<~> b0 )
& b0
& a0 )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f26,plain,
( ? [X3] :
( ! [X5,X6] :
( ( ~ q(X5,X6)
& q(f(X3),X3) )
| ~ p(X5,X6) )
& ! [X4] :
( p(f(X4),X4)
| ( ~ r1(X4)
& r1(X3) ) ) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f27,plain,
( ( ! [X2] :
( ~ r1(X2)
& p1(X2) )
& ? [X0] :
( r1(X0)
| ~ q1(X0) )
& ! [X1] :
( q1(X1)
| ~ p1(X1) ) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f28,plain,
( ( ! [X98] : ~ a(X98,X98)
& ! [X96] :
? [X97] :
( a(X97,X97)
& a(X96,X97) ) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f29,plain,
( ( ? [X79] : ~ q1(X79)
& ! [X78] : p1(X78)
& ! [X77] :
( q1(X77)
| ~ p1(X77) ) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f30,plain,
( ( ! [X72] : ~ b(X72)
& ? [X71] : a1(X71)
& ! [X70] :
( b(X70)
| ~ a1(X70) ) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f31,plain,
( ( ! [X69] : ~ b(X69)
& ! [X68] : a1(X68)
& ? [X67] :
( b(X67)
| ~ a1(X67) ) )
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f32,plain,
( ( ! [X64] :
( ~ b(X64)
| ~ a1(X64) )
& ! [X62] : b(X62)
& ? [X63] : a1(X63) )
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f33,plain,
( ( ! [X61] :
( ~ b(X61)
& ~ a1(X61) )
& ? [X60] : b(X60) )
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f34,plain,
( ? [X24,X25] :
! [X26,X27] :
( ~ r1(X25)
& p1(X24)
& ( r1(X27)
| ~ p1(X26) ) )
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f35,plain,
( ? [X11] :
( ~ q1(X11)
& ! [X12] :
( q1(X12)
& p1(X12) ) )
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f36,plain,
( ( ? [X108,X109] :
( ~ p1(X109)
| ~ p1(X108) )
& ! [X107] : p1(X107) )
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f37,plain,
( ( ! [X81] : ~ p1(X81)
& ! [X80] : p1(X80) )
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f38,plain,
( ? [X65] :
! [X66] :
( a(X66,X65)
<=> ~ a(X66,X66) )
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f39,plain,
( ( ? [X56,X57] : a(X56,X57)
<~> ? [X58,X59] : a(X59,X58) )
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f40,plain,
( ? [X53,X54] :
( ( ~ p1(X54)
| ~ p1(X53) )
& ! [X55] : p1(X55) )
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f41,plain,
( ( ( ? [X51] : ~ p1(X51)
| ? [X52] : ~ p1(X52) )
& ! [X50] : p1(X50) )
| ~ sP34 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f42,plain,
( ( ? [X48] : p1(X48)
<~> ? [X49] : p1(X49) )
| ~ sP35 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f43,plain,
( ( ! [X47] : ~ p1(X47)
& ? [X46] : p1(X46) )
| ~ sP36 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f44,plain,
( ! [X31] :
? [X32] :
( ~ p1(X32)
& p1(X31) )
| ~ sP37 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f45,plain,
( ! [X22] :
( ~ p1(X22)
& ? [X23] : p1(X23) )
| ~ sP38 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f46,plain,
( ( ? [X20] :
! [X21] : ~ p(X21,X20)
& ? [X18] :
! [X19] : p(X18,X19) )
| ~ sP39 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f6,plain,
( ( ! [X2] :
( ~ r1(X2)
& p1(X2) )
& ? [X0] :
( r1(X0)
| ~ q1(X0) )
& ! [X1] :
( q1(X1)
| ~ p1(X1) ) )
| ? [X3] :
( ! [X5,X6] :
( ( ~ q(X5,X6)
& q(f(X3),X3) )
| ~ p(X5,X6) )
& ! [X4] :
( p(f(X4),X4)
| ( ~ r1(X4)
& r1(X3) ) ) )
| ? [X7,X8] :
! [X9,X10] :
( ~ p(X7,X8)
& s1(X7)
& ( p(X9,X10)
| ~ s1(X7) )
& r1(X8)
& r1(X7)
& ( p(X8,X10)
| ~ r1(X10) )
& q1(X8)
& q1(X7)
& ( p(X9,X7)
| ~ q1(X9) ) )
| ( ( a0
<~> b0 )
& b0
& a0 )
| ( ~ b0
& ~ a0
& ( a0
<~> b0 ) )
| ? [X11] :
( ~ q1(X11)
& ! [X12] :
( q1(X12)
& p1(X12) ) )
| ( ? [X15] : ~ p(X15,X15)
& ! [X13,X14] : p(X13,X14) )
| ( ! [X17] : ~ p1(X17)
& ? [X16] : p1(X16) )
| ( ~ p1(z)
& p1(z) )
| ( ? [X20] :
! [X21] : ~ p(X21,X20)
& ? [X18] :
! [X19] : p(X18,X19) )
| ! [X22] :
( ~ p1(X22)
& ? [X23] : p1(X23) )
| ? [X24,X25] :
! [X26,X27] :
( ~ r1(X25)
& p1(X24)
& ( r1(X27)
| ~ p1(X26) ) )
| ? [X28] :
( ~ q1(X28)
& ! [X30] :
( p1(X30)
| ~ r1(X30) )
& r1(X28)
& ! [X29] :
( q1(X29)
| ~ p1(X29) ) )
| ! [X31] :
? [X32] :
( ~ p1(X32)
& p1(X31) )
| ? [X33,X34] :
( ! [X36] :
( ( ~ p1(X34)
& q1(X36) )
| ( ~ p1(X33)
& p1(X36) ) )
& ! [X35] :
( p1(X35)
| ~ q1(X35) ) )
| ( ? [X40,X41] :
( ~ eq(X41,X40)
& eq(X40,X41) )
& ! [X37,X38] :
( eq(X37,X38)
<=> ! [X39] :
( a_member_of(X39,X37)
<=> a_member_of(X39,X38) ) ) )
| ! [X42] :
? [X43] :
! [X44] :
( ( ~ p(X44,X43)
& p(X44,X42)
& p(X42,X44) )
| ( ! [X45] : ~ p(X45,X44)
& p(X44,X43) ) )
| ( ! [X47] : ~ p1(X47)
& ? [X46] : p1(X46) )
| ( ? [X48] : p1(X48)
<~> ? [X49] : p1(X49) )
| ( ( ? [X51] : ~ p1(X51)
| ? [X52] : ~ p1(X52) )
& ! [X50] : p1(X50) )
| ? [X53,X54] :
( ( ~ p1(X54)
| ~ p1(X53) )
& ! [X55] : p1(X55) )
| ( ? [X56,X57] : a(X56,X57)
<~> ? [X58,X59] : a(X59,X58) )
| ( ! [X61] :
( ~ b(X61)
& ~ a1(X61) )
& ? [X60] : b(X60) )
| ( ! [X64] :
( ~ b(X64)
| ~ a1(X64) )
& ! [X62] : b(X62)
& ? [X63] : a1(X63) )
| ? [X65] :
! [X66] :
( a(X66,X65)
<=> ~ a(X66,X66) )
| ( ! [X69] : ~ b(X69)
& ! [X68] : a1(X68)
& ? [X67] :
( b(X67)
| ~ a1(X67) ) )
| ( ! [X72] : ~ b(X72)
& ? [X71] : a1(X71)
& ! [X70] :
( b(X70)
| ~ a1(X70) ) )
| ? [X73,X74] :
( ! [X76] :
( ( ~ p1(X74)
& q1(X76) )
| ( ~ p1(X73)
& p1(X76) ) )
& ! [X75] :
( p1(X75)
| ~ q1(X75) ) )
| ( ? [X79] : ~ q1(X79)
& ! [X78] : p1(X78)
& ! [X77] :
( q1(X77)
| ~ p1(X77) ) )
| ( ! [X81] : ~ p1(X81)
& ! [X80] : p1(X80) )
| ( ( ( ( ( ~ q0
& q0 )
| ( b0
& ~ b0 ) )
& a0 )
| ! [X83] : ~ p1(X83) )
& ? [X82] : p1(X82) )
| ? [X84,X85] :
( ! [X87] :
( ( ~ p1(X85)
& q1(X87) )
| ( ~ p1(X84)
& p1(X87) ) )
& ! [X86] :
( p1(X86)
| ~ q1(X86) ) )
| ? [X88,X89,X90] :
( ! [X94,X95] :
( ~ q(X94,X95)
| ~ p1(X94) )
& ! [X91,X92] :
( q(X91,X92)
| ~ r(X91,X92) )
& ! [X93] :
( p1(X93)
| ~ s1(X93) )
& r(X89,X90)
& s1(X89)
& s1(X88) )
| ( ! [X98] : ~ a(X98,X98)
& ! [X96] :
? [X97] :
( a(X97,X97)
& a(X96,X97) ) )
| ( ! [X101] :
? [X102] :
( ~ r1(X101)
& ~ p1(X102) )
& ! [X99] :
? [X100] :
( q1(X100)
& p1(X99) ) )
| ( ! [X105] :
? [X106] :
( ~ r1(X105)
& ~ p1(X106) )
& ? [X103] : q1(X103)
& ! [X104] : p1(X104) )
| ( ? [X108,X109] :
( ~ p1(X109)
| ~ p1(X108) )
& ! [X107] : p1(X107) )
| ? [X110,X111,X112] :
( ! [X116,X117] :
( ~ q(X116,X117)
| ~ p1(X116) )
& ! [X113,X114] :
( q(X113,X114)
| ~ r(X113,X114) )
& ! [X115] :
( p1(X115)
| ~ s1(X115) )
& r(X111,X112)
& s1(X111)
& s1(X110) )
| ? [X118] :
! [X119,X120,X121,X122,X123] :
( ( ~ c(X122)
| ~ p1(X122) )
& ( ~ g(X121)
| ~ p1(X121) )
& ( p1(X123)
| ~ s(X118,X123) )
& ( c(f(X120))
| g(X120)
| ~ e(X120) )
& ( s(X119,f(X119))
| g(X119)
| ~ e(X119) )
& e(X118)
& p1(X118) )
| ( ! [X126] :
( ~ c(X126)
| ~ a1(X126) )
& ? [X124] :
( ~ b(X124)
& a1(X124) )
& ! [X125] :
( c(X125)
| b(X125)
| ~ a1(X125) ) )
| ? [X127,X128] :
( ! [X129,X130] :
( ~ q1(X129)
| ( ( ( ( ~ r1(X128)
| ~ r1(X127) )
& r1(X130) )
| ~ p1(X129) )
& p1(f(X130)) ) )
& q1(f(X127)) )
| ? [X131,X132] :
( ! [X134,X135] :
( ~ q1(X134)
| ( ( ( ( ~ r1(X132)
| ~ r1(X131) )
& r1(X135) )
| ~ p1(X134) )
& p1(f(X135)) ) )
& ! [X133] : q1(f(X133)) )
| ? [X136,X137] :
( ! [X139,X140] :
( ~ q1(X139)
| ( ( ~ r1(X136)
| ~ r1(X137) )
& r1(X140) )
| ( ~ p1(X139)
& p1(f(X140)) ) )
& ! [X138] : q1(f(X138)) ) ),
inference(flattening,[],[f5]) ).
fof(f5,plain,
( ( ! [X2] :
( ~ r1(X2)
& p1(X2) )
& ? [X0] :
( r1(X0)
| ~ q1(X0) )
& ! [X1] :
( q1(X1)
| ~ p1(X1) ) )
| ? [X3] :
( ! [X5,X6] :
( ( ~ q(X5,X6)
& q(f(X3),X3) )
| ~ p(X5,X6) )
& ! [X4] :
( p(f(X4),X4)
| ( ~ r1(X4)
& r1(X3) ) ) )
| ? [X7,X8] :
! [X9,X10] :
( ~ p(X7,X8)
& s1(X7)
& ( p(X9,X10)
| ~ s1(X7) )
& r1(X8)
& r1(X7)
& ( p(X8,X10)
| ~ r1(X10) )
& q1(X8)
& q1(X7)
& ( p(X9,X7)
| ~ q1(X9) ) )
| ( ( a0
<~> b0 )
& b0
& a0 )
| ( ~ b0
& ~ a0
& ( a0
<~> b0 ) )
| ? [X11] :
( ~ q1(X11)
& ! [X12] :
( q1(X12)
& p1(X12) ) )
| ( ? [X15] : ~ p(X15,X15)
& ! [X13,X14] : p(X13,X14) )
| ( ! [X17] : ~ p1(X17)
& ? [X16] : p1(X16) )
| ( ~ p1(z)
& p1(z) )
| ( ? [X20] :
! [X21] : ~ p(X21,X20)
& ? [X18] :
! [X19] : p(X18,X19) )
| ! [X22] :
( ~ p1(X22)
& ? [X23] : p1(X23) )
| ? [X24,X25] :
! [X26,X27] :
( ~ r1(X25)
& p1(X24)
& ( r1(X27)
| ~ p1(X26) ) )
| ? [X28] :
( ~ q1(X28)
& ! [X30] :
( p1(X30)
| ~ r1(X30) )
& r1(X28)
& ! [X29] :
( q1(X29)
| ~ p1(X29) ) )
| ! [X31] :
? [X32] :
( ~ p1(X32)
& p1(X31) )
| ? [X33,X34] :
( ! [X36] :
( ( ~ p1(X34)
& q1(X36) )
| ( ~ p1(X33)
& p1(X36) ) )
& ! [X35] :
( p1(X35)
| ~ q1(X35) ) )
| ( ? [X40,X41] :
( ~ eq(X41,X40)
& eq(X40,X41) )
& ! [X37,X38] :
( eq(X37,X38)
<=> ! [X39] :
( a_member_of(X39,X37)
<=> a_member_of(X39,X38) ) ) )
| ! [X42] :
? [X43] :
! [X44] :
( ( ~ p(X44,X43)
& p(X44,X42)
& p(X42,X44) )
| ( ! [X45] : ~ p(X45,X44)
& p(X44,X43) ) )
| ( ! [X47] : ~ p1(X47)
& ? [X46] : p1(X46) )
| ( ? [X48] : p1(X48)
<~> ? [X49] : p1(X49) )
| ( ( ? [X51] : ~ p1(X51)
| ? [X52] : ~ p1(X52) )
& ! [X50] : p1(X50) )
| ? [X53,X54] :
( ( ~ p1(X54)
| ~ p1(X53) )
& ! [X55] : p1(X55) )
| ( ? [X56,X57] : a(X56,X57)
<~> ? [X58,X59] : a(X59,X58) )
| ( ! [X61] :
( ~ b(X61)
& ~ a1(X61) )
& ? [X60] : b(X60) )
| ( ! [X64] :
( ~ b(X64)
| ~ a1(X64) )
& ! [X62] : b(X62)
& ? [X63] : a1(X63) )
| ? [X65] :
! [X66] :
( a(X66,X65)
<=> ~ a(X66,X66) )
| ( ! [X69] : ~ b(X69)
& ! [X68] : a1(X68)
& ? [X67] :
( b(X67)
| ~ a1(X67) ) )
| ( ! [X72] : ~ b(X72)
& ? [X71] : a1(X71)
& ! [X70] :
( b(X70)
| ~ a1(X70) ) )
| ? [X73,X74] :
( ! [X76] :
( ( ~ p1(X74)
& q1(X76) )
| ( ~ p1(X73)
& p1(X76) ) )
& ! [X75] :
( p1(X75)
| ~ q1(X75) ) )
| ( ? [X79] : ~ q1(X79)
& ! [X78] : p1(X78)
& ! [X77] :
( q1(X77)
| ~ p1(X77) ) )
| ( ! [X81] : ~ p1(X81)
& ! [X80] : p1(X80) )
| ( ( ( ( ( ~ q0
& q0 )
| ( b0
& ~ b0 ) )
& a0 )
| ! [X83] : ~ p1(X83) )
& ? [X82] : p1(X82) )
| ? [X84,X85] :
( ! [X87] :
( ( ~ p1(X85)
& q1(X87) )
| ( ~ p1(X84)
& p1(X87) ) )
& ! [X86] :
( p1(X86)
| ~ q1(X86) ) )
| ? [X88,X89,X90] :
( ! [X94,X95] :
( ~ q(X94,X95)
| ~ p1(X94) )
& ! [X91,X92] :
( q(X91,X92)
| ~ r(X91,X92) )
& ! [X93] :
( p1(X93)
| ~ s1(X93) )
& r(X89,X90)
& s1(X89)
& s1(X88) )
| ( ! [X98] : ~ a(X98,X98)
& ! [X96] :
? [X97] :
( a(X97,X97)
& a(X96,X97) ) )
| ( ! [X101] :
? [X102] :
( ~ r1(X101)
& ~ p1(X102) )
& ! [X99] :
? [X100] :
( q1(X100)
& p1(X99) ) )
| ( ! [X105] :
? [X106] :
( ~ r1(X105)
& ~ p1(X106) )
& ? [X103] : q1(X103)
& ! [X104] : p1(X104) )
| ( ? [X108,X109] :
( ~ p1(X109)
| ~ p1(X108) )
& ! [X107] : p1(X107) )
| ? [X110,X111,X112] :
( ! [X116,X117] :
( ~ q(X116,X117)
| ~ p1(X116) )
& ! [X113,X114] :
( q(X113,X114)
| ~ r(X113,X114) )
& ! [X115] :
( p1(X115)
| ~ s1(X115) )
& r(X111,X112)
& s1(X111)
& s1(X110) )
| ? [X118] :
! [X119,X120,X121,X122,X123] :
( ( ~ c(X122)
| ~ p1(X122) )
& ( ~ g(X121)
| ~ p1(X121) )
& ( p1(X123)
| ~ s(X118,X123) )
& ( c(f(X120))
| g(X120)
| ~ e(X120) )
& ( s(X119,f(X119))
| g(X119)
| ~ e(X119) )
& e(X118)
& p1(X118) )
| ( ! [X126] :
( ~ c(X126)
| ~ a1(X126) )
& ? [X124] :
( ~ b(X124)
& a1(X124) )
& ! [X125] :
( c(X125)
| b(X125)
| ~ a1(X125) ) )
| ? [X127,X128] :
( ! [X129,X130] :
( ~ q1(X129)
| ( ( ( ( ~ r1(X128)
| ~ r1(X127) )
& r1(X130) )
| ~ p1(X129) )
& p1(f(X130)) ) )
& q1(f(X127)) )
| ? [X131,X132] :
( ! [X134,X135] :
( ~ q1(X134)
| ( ( ( ( ~ r1(X132)
| ~ r1(X131) )
& r1(X135) )
| ~ p1(X134) )
& p1(f(X135)) ) )
& ! [X133] : q1(f(X133)) )
| ? [X136,X137] :
( ! [X139,X140] :
( ~ q1(X139)
| ( ( ~ r1(X136)
| ~ r1(X137) )
& r1(X140) )
| ( ~ p1(X139)
& p1(f(X140)) ) )
& ! [X138] : q1(f(X138)) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,plain,
~ ( ( ( ? [X0] :
( q1(X0)
=> r1(X0) )
& ! [X1] :
( p1(X1)
=> q1(X1) ) )
=> ? [X2] :
( p1(X2)
=> r1(X2) ) )
& ! [X3] :
( ! [X4] :
( ( r1(X3)
=> r1(X4) )
=> p(f(X4),X4) )
=> ? [X5,X6] :
( ( q(f(X3),X3)
=> q(X5,X6) )
& p(X5,X6) ) )
& ! [X7,X8] :
? [X9,X10] :
( ( s1(X7)
& ( s1(X7)
=> p(X9,X10) )
& r1(X8)
& r1(X7)
& ( r1(X10)
=> p(X8,X10) )
& q1(X8)
& q1(X7)
& ( q1(X9)
=> p(X9,X7) ) )
=> p(X7,X8) )
& ( ( b0
& a0 )
=> ( a0
<=> b0 ) )
& ( b0
| a0
| ( a0
<=> b0 ) )
& ! [X11] :
( ! [X12] :
( q1(X12)
& p1(X12) )
=> q1(X11) )
& ( ! [X13,X14] : p(X13,X14)
=> ! [X15] : p(X15,X15) )
& ( ? [X16] : p1(X16)
=> ? [X17] : p1(X17) )
& ( p1(z)
=> p1(z) )
& ( ? [X18] :
! [X19] : p(X18,X19)
=> ! [X20] :
? [X21] : p(X21,X20) )
& ? [X22] :
( ? [X23] : p1(X23)
=> p1(X22) )
& ! [X24,X25] :
? [X26,X27] :
( ( p1(X26)
=> r1(X27) )
=> ( p1(X24)
=> r1(X25) ) )
& ! [X28] :
( ( r1(X28)
& ! [X29] :
( p1(X29)
=> q1(X29) ) )
=> ( ! [X30] :
( r1(X30)
=> p1(X30) )
=> q1(X28) ) )
& ? [X31] :
! [X32] :
( p1(X31)
=> p1(X32) )
& ! [X33,X34] :
( ! [X35] :
( q1(X35)
=> p1(X35) )
=> ? [X36] :
( ( q1(X36)
=> p1(X34) )
& ( p1(X36)
=> p1(X33) ) ) )
& ( ! [X37,X38] :
( eq(X37,X38)
<=> ! [X39] :
( a_member_of(X39,X37)
<=> a_member_of(X39,X38) ) )
=> ! [X40,X41] :
( eq(X40,X41)
=> eq(X41,X40) ) )
& ? [X42] :
! [X43] :
? [X44] :
( ( ( p(X44,X42)
& p(X42,X44) )
=> p(X44,X43) )
& ( p(X44,X43)
=> ? [X45] : p(X45,X44) ) )
& ( ? [X46] : p1(X46)
=> ? [X47] : p1(X47) )
& ( ? [X48] : p1(X48)
<=> ? [X49] : p1(X49) )
& ( ! [X50] : p1(X50)
=> ( ! [X51] : p1(X51)
& ! [X52] : p1(X52) ) )
& ! [X53,X54] :
( ! [X55] : p1(X55)
=> ( p1(X54)
& p1(X53) ) )
& ( ? [X56,X57] : a(X56,X57)
<=> ? [X58,X59] : a(X59,X58) )
& ( ? [X60] : b(X60)
=> ? [X61] :
( b(X61)
| a1(X61) ) )
& ( ( ! [X62] : b(X62)
& ? [X63] : a1(X63) )
=> ? [X64] :
( b(X64)
& a1(X64) ) )
& ~ ? [X65] :
! [X66] :
( a(X66,X65)
<=> ~ a(X66,X66) )
& ( ? [X67] :
( a1(X67)
=> b(X67) )
=> ( ! [X68] : a1(X68)
=> ? [X69] : b(X69) ) )
& ( ! [X70] :
( a1(X70)
=> b(X70) )
=> ( ? [X71] : a1(X71)
=> ? [X72] : b(X72) ) )
& ! [X73,X74] :
( ! [X75] :
( q1(X75)
=> p1(X75) )
=> ? [X76] :
( ( q1(X76)
=> p1(X74) )
& ( p1(X76)
=> p1(X73) ) ) )
& ( ! [X77] :
( p1(X77)
=> q1(X77) )
=> ( ! [X78] : p1(X78)
=> ! [X79] : q1(X79) ) )
& ( ! [X80] : p1(X80)
=> ? [X81] : p1(X81) )
& ( ? [X82] : p1(X82)
=> ( ( a0
=> ( ( q0
=> q0 )
& ( ~ b0
| b0 ) ) )
& ? [X83] : p1(X83) ) )
& ! [X84,X85] :
( ! [X86] :
( q1(X86)
=> p1(X86) )
=> ? [X87] :
( ( q1(X87)
=> p1(X85) )
& ( p1(X87)
=> p1(X84) ) ) )
& ! [X88,X89,X90] :
( ( ! [X91,X92] :
( r(X91,X92)
=> q(X91,X92) )
& ! [X93] :
( s1(X93)
=> p1(X93) )
& r(X89,X90)
& s1(X89)
& s1(X88) )
=> ? [X94,X95] :
( q(X94,X95)
& p1(X94) ) )
& ( ! [X96] :
? [X97] :
( a(X97,X97)
& a(X96,X97) )
=> ? [X98] : a(X98,X98) )
& ( ! [X99] :
? [X100] :
( q1(X100)
& p1(X99) )
=> ? [X101] :
! [X102] :
( r1(X101)
| p1(X102) ) )
& ( ( ? [X103] : q1(X103)
& ! [X104] : p1(X104) )
=> ? [X105] :
! [X106] :
( r1(X105)
| p1(X106) ) )
& ( ! [X107] : p1(X107)
=> ! [X108,X109] :
( p1(X109)
& p1(X108) ) )
& ! [X110,X111,X112] :
( ( ! [X113,X114] :
( r(X113,X114)
=> q(X113,X114) )
& ! [X115] :
( s1(X115)
=> p1(X115) )
& r(X111,X112)
& s1(X111)
& s1(X110) )
=> ? [X116,X117] :
( q(X116,X117)
& p1(X116) ) )
& ! [X118] :
? [X119,X120,X121,X122,X123] :
( ( ( s(X118,X123)
=> p1(X123) )
& ( e(X120)
=> ( c(f(X120))
| g(X120) ) )
& ( e(X119)
=> ( s(X119,f(X119))
| g(X119) ) )
& e(X118)
& p1(X118) )
=> ( ( c(X122)
& p1(X122) )
| ( g(X121)
& p1(X121) ) ) )
& ( ( ~ ! [X124] :
( a1(X124)
=> b(X124) )
& ! [X125] :
( a1(X125)
=> ( c(X125)
| b(X125) ) ) )
=> ? [X126] :
( c(X126)
& a1(X126) ) )
& ! [X127,X128] :
( q1(f(X127))
=> ? [X129,X130] :
( q1(X129)
& ( p1(f(X130))
=> ( ( r1(X130)
=> ( r1(X128)
& r1(X127) ) )
& p1(X129) ) ) ) )
& ! [X131,X132] :
( ! [X133] : q1(f(X133))
=> ? [X134,X135] :
( q1(X134)
& ( p1(f(X135))
=> ( ( r1(X135)
=> ( r1(X132)
& r1(X131) ) )
& p1(X134) ) ) ) )
& ! [X136,X137] :
( ! [X138] : q1(f(X138))
=> ? [X139,X140] :
( q1(X139)
& ( r1(X140)
=> ( r1(X136)
& r1(X137) ) )
& ( p1(f(X140))
=> p1(X139) ) ) ) ),
inference(pure_predicate_removal,[],[f3]) ).
fof(f3,plain,
~ ( ( ( ? [X0] :
( q1(X0)
=> r1(X0) )
& ! [X1] :
( p1(X1)
=> q1(X1) ) )
=> ? [X2] :
( p1(X2)
=> r1(X2) ) )
& ! [X3] :
( ! [X4] :
( ( r1(X3)
=> r1(X4) )
=> p(f(X4),X4) )
=> ? [X5,X6] :
( ( q(f(X3),X3)
=> q(X5,X6) )
& p(X5,X6) ) )
& ! [X7,X8] :
? [X9,X10] :
( ( s1(X7)
& ( s1(X7)
=> p(X9,X10) )
& r1(X8)
& r1(X7)
& ( r1(X10)
=> p(X8,X10) )
& q1(X8)
& q1(X7)
& ( q1(X9)
=> p(X9,X7) ) )
=> p(X7,X8) )
& ( ( b0
& a0 )
=> ( a0
<=> b0 ) )
& ( b0
| a0
| ( a0
<=> b0 ) )
& ! [X11] :
( ( ! [X12] :
( q1(X12)
& p1(X12) )
& ( g0
| f0 ) )
=> q1(X11) )
& ( ! [X13,X14] : p(X13,X14)
=> ! [X15] : p(X15,X15) )
& ( ? [X16] : p1(X16)
=> ? [X17] : p1(X17) )
& ( p1(z)
=> p1(z) )
& ( ? [X18] :
! [X19] : p(X18,X19)
=> ! [X20] :
? [X21] : p(X21,X20) )
& ? [X22] :
( ? [X23] : p1(X23)
=> p1(X22) )
& ! [X24,X25] :
? [X26,X27] :
( ( p1(X26)
=> r1(X27) )
=> ( p1(X24)
=> r1(X25) ) )
& ! [X28] :
( ( r1(X28)
& ! [X29] :
( p1(X29)
=> q1(X29) ) )
=> ( ! [X30] :
( r1(X30)
=> p1(X30) )
=> q1(X28) ) )
& ? [X31] :
! [X32] :
( p1(X31)
=> p1(X32) )
& ! [X33,X34] :
( ! [X35] :
( q1(X35)
=> p1(X35) )
=> ? [X36] :
( ( q1(X36)
=> p1(X34) )
& ( p1(X36)
=> p1(X33) ) ) )
& ( ! [X37,X38] :
( eq(X37,X38)
<=> ! [X39] :
( a_member_of(X39,X37)
<=> a_member_of(X39,X38) ) )
=> ! [X40,X41] :
( eq(X40,X41)
=> eq(X41,X40) ) )
& ? [X42] :
! [X43] :
? [X44] :
( ( ( p(X44,X42)
& p(X42,X44) )
=> p(X44,X43) )
& ( p(X44,X43)
=> ? [X45] : p(X45,X44) ) )
& ( ? [X46] : p1(X46)
=> ? [X47] : p1(X47) )
& ( ? [X48] : p1(X48)
<=> ? [X49] : p1(X49) )
& ( ! [X50] : p1(X50)
=> ( ! [X51] : p1(X51)
& ! [X52] : p1(X52) ) )
& ! [X53,X54] :
( ! [X55] : p1(X55)
=> ( p1(X54)
& p1(X53) ) )
& ( ? [X56,X57] : a(X56,X57)
<=> ? [X58,X59] : a(X59,X58) )
& ( ? [X60] : b(X60)
=> ? [X61] :
( b(X61)
| a1(X61) ) )
& ( ( ! [X62] : b(X62)
& ? [X63] : a1(X63) )
=> ? [X64] :
( b(X64)
& a1(X64) ) )
& ~ ? [X65] :
! [X66] :
( a(X66,X65)
<=> ~ a(X66,X66) )
& ( ? [X67] :
( a1(X67)
=> b(X67) )
=> ( ! [X68] : a1(X68)
=> ? [X69] : b(X69) ) )
& ( ! [X70] :
( a1(X70)
=> b(X70) )
=> ( ? [X71] : a1(X71)
=> ? [X72] : b(X72) ) )
& ! [X73,X74] :
( ! [X75] :
( q1(X75)
=> p1(X75) )
=> ? [X76] :
( ( q1(X76)
=> p1(X74) )
& ( p1(X76)
=> p1(X73) ) ) )
& ( ! [X77] :
( p1(X77)
=> q1(X77) )
=> ( ! [X78] : p1(X78)
=> ! [X79] : q1(X79) ) )
& ( ! [X80] : p1(X80)
=> ? [X81] : p1(X81) )
& ( ? [X82] : p1(X82)
=> ( ( a0
=> ( ( q0
=> q0 )
& ( ~ b0
| b0 ) ) )
& ? [X83] : p1(X83) ) )
& ! [X84,X85] :
( ! [X86] :
( q1(X86)
=> p1(X86) )
=> ? [X87] :
( ( q1(X87)
=> p1(X85) )
& ( p1(X87)
=> p1(X84) ) ) )
& ! [X88,X89,X90] :
( ( ! [X91,X92] :
( r(X91,X92)
=> q(X91,X92) )
& ! [X93] :
( s1(X93)
=> p1(X93) )
& r(X89,X90)
& s1(X89)
& s1(X88) )
=> ? [X94,X95] :
( q(X94,X95)
& p1(X94) ) )
& ( ! [X96] :
? [X97] :
( a(X97,X97)
& a(X96,X97) )
=> ? [X98] : a(X98,X98) )
& ( ! [X99] :
? [X100] :
( q1(X100)
& p1(X99) )
=> ? [X101] :
! [X102] :
( r1(X101)
| p1(X102) ) )
& ( ( ? [X103] : q1(X103)
& ! [X104] : p1(X104) )
=> ? [X105] :
! [X106] :
( r1(X105)
| p1(X106) ) )
& ( ! [X107] : p1(X107)
=> ! [X108,X109] :
( p1(X109)
& p1(X108) ) )
& ! [X110,X111,X112] :
( ( ! [X113,X114] :
( r(X113,X114)
=> q(X113,X114) )
& ! [X115] :
( s1(X115)
=> p1(X115) )
& r(X111,X112)
& s1(X111)
& s1(X110) )
=> ? [X116,X117] :
( q(X116,X117)
& p1(X116) ) )
& ! [X118] :
? [X119,X120,X121,X122,X123] :
( ( ( s(X118,X123)
=> p1(X123) )
& ( e(X120)
=> ( c(f(X120))
| g(X120) ) )
& ( e(X119)
=> ( s(X119,f(X119))
| g(X119) ) )
& e(X118)
& p1(X118) )
=> ( ( c(X122)
& p1(X122) )
| ( g(X121)
& p1(X121) ) ) )
& ( ( ~ ! [X124] :
( a1(X124)
=> b(X124) )
& ! [X125] :
( a1(X125)
=> ( c(X125)
| b(X125) ) ) )
=> ? [X126] :
( c(X126)
& a1(X126) ) )
& ! [X127,X128] :
( q1(f(X127))
=> ? [X129,X130] :
( q1(X129)
& ( p1(f(X130))
=> ( ( r1(X130)
=> ( r1(X128)
& r1(X127) ) )
& p1(X129) ) ) ) )
& ! [X131,X132] :
( ! [X133] : q1(f(X133))
=> ? [X134,X135] :
( q1(X134)
& ( p1(f(X135))
=> ( ( r1(X135)
=> ( r1(X132)
& r1(X131) ) )
& p1(X134) ) ) ) )
& ! [X136,X137] :
( ! [X138] : q1(f(X138))
=> ? [X139,X140] :
( q1(X139)
& ( r1(X140)
=> ( r1(X136)
& r1(X137) ) )
& ( p1(f(X140))
=> p1(X139) ) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ( ( ? [X4] :
( q1(X4)
=> r1(X4) )
& ! [X3] :
( p1(X3)
=> q1(X3) ) )
=> ? [X2] :
( p1(X2)
=> r1(X2) ) )
& ! [X1] :
( ! [X4] :
( ( r1(X1)
=> r1(X4) )
=> p(f(X4),X4) )
=> ? [X3,X4] :
( ( q(f(X1),X1)
=> q(X3,X4) )
& p(X3,X4) ) )
& ! [X5,X1] :
? [X3,X4] :
( ( s1(X5)
& ( s1(X5)
=> p(X3,X4) )
& r1(X1)
& r1(X5)
& ( r1(X4)
=> p(X1,X4) )
& q1(X1)
& q1(X5)
& ( q1(X3)
=> p(X3,X5) ) )
=> p(X5,X1) )
& ( ( b0
& a0 )
=> ( a0
<=> b0 ) )
& ( b0
| a0
| ( a0
<=> b0 ) )
& ! [X5] :
( ( ! [X3] :
( q1(X3)
& p1(X3) )
& ( g0
| f0 ) )
=> q1(X5) )
& ( ! [X3,X4] : p(X3,X4)
=> ! [X3] : p(X3,X3) )
& ( ? [X3] : p1(X3)
=> ? [X4] : p1(X4) )
& ( p1(z)
=> p1(z) )
& ( ? [X3] :
! [X4] : p(X3,X4)
=> ! [X4] :
? [X3] : p(X3,X4) )
& ? [X4] :
( ? [X3] : p1(X3)
=> p1(X4) )
& ! [X5,X1] :
? [X3,X4] :
( ( p1(X3)
=> r1(X4) )
=> ( p1(X5)
=> r1(X1) ) )
& ! [X1] :
( ( r1(X1)
& ! [X3] :
( p1(X3)
=> q1(X3) ) )
=> ( ! [X4] :
( r1(X4)
=> p1(X4) )
=> q1(X1) ) )
& ? [X3] :
! [X4] :
( p1(X3)
=> p1(X4) )
& ! [X5,X1] :
( ! [X4] :
( q1(X4)
=> p1(X4) )
=> ? [X3] :
( ( q1(X3)
=> p1(X1) )
& ( p1(X3)
=> p1(X5) ) ) )
& ( ! [X3,X4] :
( eq(X3,X4)
<=> ! [X2] :
( a_member_of(X2,X3)
<=> a_member_of(X2,X4) ) )
=> ! [X5,X1] :
( eq(X5,X1)
=> eq(X1,X5) ) )
& ? [X2] :
! [X3] :
? [X4] :
( ( ( p(X4,X2)
& p(X2,X4) )
=> p(X4,X3) )
& ( p(X4,X3)
=> ? [X9] : p(X9,X4) ) )
& ( ? [X3] : p1(X3)
=> ? [X2] : p1(X2) )
& ( ? [X3] : p1(X3)
<=> ? [X4] : p1(X4) )
& ( ! [X3] : p1(X3)
=> ( ! [X4] : p1(X4)
& ! [X3] : p1(X3) ) )
& ! [X5,X1] :
( ! [X3] : p1(X3)
=> ( p1(X1)
& p1(X5) ) )
& ( ? [X3,X4] : a(X3,X4)
<=> ? [X4,X3] : a(X3,X4) )
& ( ? [X3] : b(X3)
=> ? [X3] :
( b(X3)
| a1(X3) ) )
& ( ( ! [X3] : b(X3)
& ? [X3] : a1(X3) )
=> ? [X3] :
( b(X3)
& a1(X3) ) )
& ~ ? [X4] :
! [X3] :
( a(X3,X4)
<=> ~ a(X3,X3) )
& ( ? [X3] :
( a1(X3)
=> b(X3) )
=> ( ! [X3] : a1(X3)
=> ? [X3] : b(X3) ) )
& ( ! [X3] :
( a1(X3)
=> b(X3) )
=> ( ? [X3] : a1(X3)
=> ? [X3] : b(X3) ) )
& ! [X5,X1] :
( ! [X2] :
( q1(X2)
=> p1(X2) )
=> ? [X3] :
( ( q1(X3)
=> p1(X1) )
& ( p1(X3)
=> p1(X5) ) ) )
& ( ! [X3] :
( p1(X3)
=> q1(X3) )
=> ( ! [X3] : p1(X3)
=> ! [X3] : q1(X3) ) )
& ( ! [X3] : p1(X3)
=> ? [X4] : p1(X4) )
& ( ? [X3] : p1(X3)
=> ( ( a0
=> ( ( q0
=> q0 )
& ( ~ b0
| b0 ) ) )
& ? [X3] : p1(X3) ) )
& ! [X5,X1] :
( ! [X4] :
( q1(X4)
=> p1(X4) )
=> ? [X3] :
( ( q1(X3)
=> p1(X1) )
& ( p1(X3)
=> p1(X5) ) ) )
& ! [X5,X1,X0] :
( ( ! [X3,X4] :
( r(X3,X4)
=> q(X3,X4) )
& ! [X3] :
( s1(X3)
=> p1(X3) )
& r(X1,X0)
& s1(X1)
& s1(X5) )
=> ? [X3,X4] :
( q(X3,X4)
& p1(X3) ) )
& ( ! [X3] :
? [X4] :
( a(X4,X4)
& a(X3,X4) )
=> ? [X2] : a(X2,X2) )
& ( ! [X3] :
? [X4] :
( q1(X4)
& p1(X3) )
=> ? [X2] :
! [X4] :
( r1(X2)
| p1(X4) ) )
& ( ( ? [X4] : q1(X4)
& ! [X3] : p1(X3) )
=> ? [X2] :
! [X4] :
( r1(X2)
| p1(X4) ) )
& ( ! [X3] : p1(X3)
=> ! [X5,X1] :
( p1(X1)
& p1(X5) ) )
& ! [X5,X1,X0] :
( ( ! [X3,X4] :
( r(X3,X4)
=> q(X3,X4) )
& ! [X3] :
( s1(X3)
=> p1(X3) )
& r(X1,X0)
& s1(X1)
& s1(X5) )
=> ? [X3,X4] :
( q(X3,X4)
& p1(X3) ) )
& ! [X5] :
? [X3,X6,X7,X8,X4] :
( ( ( s(X5,X4)
=> p1(X4) )
& ( e(X6)
=> ( c(f(X6))
| g(X6) ) )
& ( e(X3)
=> ( s(X3,f(X3))
| g(X3) ) )
& e(X5)
& p1(X5) )
=> ( ( c(X8)
& p1(X8) )
| ( g(X7)
& p1(X7) ) ) )
& ( ( ~ ! [X3] :
( a1(X3)
=> b(X3) )
& ! [X3] :
( a1(X3)
=> ( c(X3)
| b(X3) ) ) )
=> ? [X3] :
( c(X3)
& a1(X3) ) )
& ! [X1,X0] :
( q1(f(X1))
=> ? [X3,X4] :
( q1(X3)
& ( p1(f(X4))
=> ( ( r1(X4)
=> ( r1(X0)
& r1(X1) ) )
& p1(X3) ) ) ) )
& ! [X1,X0] :
( ! [X2] : q1(f(X2))
=> ? [X3,X4] :
( q1(X3)
& ( p1(f(X4))
=> ( ( r1(X4)
=> ( r1(X0)
& r1(X1) ) )
& p1(X3) ) ) ) )
& ! [X0,X1] :
( ! [X2] : q1(f(X2))
=> ? [X3,X4] :
( q1(X3)
& ( r1(X4)
=> ( r1(X0)
& r1(X1) ) )
& ( p1(f(X4))
=> p1(X3) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ( ( ? [X4] :
( q1(X4)
=> r1(X4) )
& ! [X3] :
( p1(X3)
=> q1(X3) ) )
=> ? [X2] :
( p1(X2)
=> r1(X2) ) )
& ! [X1] :
( ! [X4] :
( ( r1(X1)
=> r1(X4) )
=> p(f(X4),X4) )
=> ? [X3,X4] :
( ( q(f(X1),X1)
=> q(X3,X4) )
& p(X3,X4) ) )
& ! [X5,X1] :
? [X3,X4] :
( ( s1(X5)
& ( s1(X5)
=> p(X3,X4) )
& r1(X1)
& r1(X5)
& ( r1(X4)
=> p(X1,X4) )
& q1(X1)
& q1(X5)
& ( q1(X3)
=> p(X3,X5) ) )
=> p(X5,X1) )
& ( ( b0
& a0 )
=> ( a0
<=> b0 ) )
& ( b0
| a0
| ( a0
<=> b0 ) )
& ! [X5] :
( ( ! [X3] :
( q1(X3)
& p1(X3) )
& ( g0
| f0 ) )
=> q1(X5) )
& ( ! [X3,X4] : p(X3,X4)
=> ! [X3] : p(X3,X3) )
& ( ? [X3] : p1(X3)
=> ? [X4] : p1(X4) )
& ( p1(z)
=> p1(z) )
& ( ? [X3] :
! [X4] : p(X3,X4)
=> ! [X4] :
? [X3] : p(X3,X4) )
& ? [X4] :
( ? [X3] : p1(X3)
=> p1(X4) )
& ! [X5,X1] :
? [X3,X4] :
( ( p1(X3)
=> r1(X4) )
=> ( p1(X5)
=> r1(X1) ) )
& ! [X1] :
( ( r1(X1)
& ! [X3] :
( p1(X3)
=> q1(X3) ) )
=> ( ! [X4] :
( r1(X4)
=> p1(X4) )
=> q1(X1) ) )
& ? [X3] :
! [X4] :
( p1(X3)
=> p1(X4) )
& ! [X5,X1] :
( ! [X4] :
( q1(X4)
=> p1(X4) )
=> ? [X3] :
( ( q1(X3)
=> p1(X1) )
& ( p1(X3)
=> p1(X5) ) ) )
& ( ! [X3,X4] :
( eq(X3,X4)
<=> ! [X2] :
( a_member_of(X2,X3)
<=> a_member_of(X2,X4) ) )
=> ! [X5,X1] :
( eq(X5,X1)
=> eq(X1,X5) ) )
& ? [X2] :
! [X3] :
? [X4] :
( ( ( p(X4,X2)
& p(X2,X4) )
=> p(X4,X3) )
& ( p(X4,X3)
=> ? [X9] : p(X9,X4) ) )
& ( ? [X3] : p1(X3)
=> ? [X2] : p1(X2) )
& ( ? [X3] : p1(X3)
<=> ? [X4] : p1(X4) )
& ( ! [X3] : p1(X3)
=> ( ! [X4] : p1(X4)
& ! [X3] : p1(X3) ) )
& ! [X5,X1] :
( ! [X3] : p1(X3)
=> ( p1(X1)
& p1(X5) ) )
& ( ? [X3,X4] : a(X3,X4)
<=> ? [X4,X3] : a(X3,X4) )
& ( ? [X3] : b(X3)
=> ? [X3] :
( b(X3)
| a1(X3) ) )
& ( ( ! [X3] : b(X3)
& ? [X3] : a1(X3) )
=> ? [X3] :
( b(X3)
& a1(X3) ) )
& ~ ? [X4] :
! [X3] :
( a(X3,X4)
<=> ~ a(X3,X3) )
& ( ? [X3] :
( a1(X3)
=> b(X3) )
=> ( ! [X3] : a1(X3)
=> ? [X3] : b(X3) ) )
& ( ! [X3] :
( a1(X3)
=> b(X3) )
=> ( ? [X3] : a1(X3)
=> ? [X3] : b(X3) ) )
& ! [X5,X1] :
( ! [X2] :
( q1(X2)
=> p1(X2) )
=> ? [X3] :
( ( q1(X3)
=> p1(X1) )
& ( p1(X3)
=> p1(X5) ) ) )
& ( ! [X3] :
( p1(X3)
=> q1(X3) )
=> ( ! [X3] : p1(X3)
=> ! [X3] : q1(X3) ) )
& ( ! [X3] : p1(X3)
=> ? [X4] : p1(X4) )
& ( ? [X3] : p1(X3)
=> ( ( a0
=> ( ( q0
=> q0 )
& ( ~ b0
| b0 ) ) )
& ? [X3] : p1(X3) ) )
& ! [X5,X1] :
( ! [X4] :
( q1(X4)
=> p1(X4) )
=> ? [X3] :
( ( q1(X3)
=> p1(X1) )
& ( p1(X3)
=> p1(X5) ) ) )
& ! [X5,X1,X0] :
( ( ! [X3,X4] :
( r(X3,X4)
=> q(X3,X4) )
& ! [X3] :
( s1(X3)
=> p1(X3) )
& r(X1,X0)
& s1(X1)
& s1(X5) )
=> ? [X3,X4] :
( q(X3,X4)
& p1(X3) ) )
& ( ! [X3] :
? [X4] :
( a(X4,X4)
& a(X3,X4) )
=> ? [X2] : a(X2,X2) )
& ( ! [X3] :
? [X4] :
( q1(X4)
& p1(X3) )
=> ? [X2] :
! [X4] :
( r1(X2)
| p1(X4) ) )
& ( ( ? [X4] : q1(X4)
& ! [X3] : p1(X3) )
=> ? [X2] :
! [X4] :
( r1(X2)
| p1(X4) ) )
& ( ! [X3] : p1(X3)
=> ! [X5,X1] :
( p1(X1)
& p1(X5) ) )
& ! [X5,X1,X0] :
( ( ! [X3,X4] :
( r(X3,X4)
=> q(X3,X4) )
& ! [X3] :
( s1(X3)
=> p1(X3) )
& r(X1,X0)
& s1(X1)
& s1(X5) )
=> ? [X3,X4] :
( q(X3,X4)
& p1(X3) ) )
& ! [X5] :
? [X3,X6,X7,X8,X4] :
( ( ( s(X5,X4)
=> p1(X4) )
& ( e(X6)
=> ( c(f(X6))
| g(X6) ) )
& ( e(X3)
=> ( s(X3,f(X3))
| g(X3) ) )
& e(X5)
& p1(X5) )
=> ( ( c(X8)
& p1(X8) )
| ( g(X7)
& p1(X7) ) ) )
& ( ( ~ ! [X3] :
( a1(X3)
=> b(X3) )
& ! [X3] :
( a1(X3)
=> ( c(X3)
| b(X3) ) ) )
=> ? [X3] :
( c(X3)
& a1(X3) ) )
& ! [X1,X0] :
( q1(f(X1))
=> ? [X3,X4] :
( q1(X3)
& ( p1(f(X4))
=> ( ( r1(X4)
=> ( r1(X0)
& r1(X1) ) )
& p1(X3) ) ) ) )
& ! [X1,X0] :
( ! [X2] : q1(f(X2))
=> ? [X3,X4] :
( q1(X3)
& ( p1(f(X4))
=> ( ( r1(X4)
=> ( r1(X0)
& r1(X1) ) )
& p1(X3) ) ) ) )
& ! [X0,X1] :
( ! [X2] : q1(f(X2))
=> ? [X3,X4] :
( q1(X3)
& ( r1(X4)
=> ( r1(X0)
& r1(X1) ) )
& ( p1(f(X4))
=> p1(X3) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.bhh5pSal71/Vampire---4.8_1474',prove_this) ).
fof(f1128,plain,
( spl103_113
| spl103_98
| spl103_91
| spl103_86
| spl103_144
| spl103_140
| spl103_29
| spl103_83
| spl103_80
| spl103_57
| spl103_133
| spl103_110
| spl103_130
| spl103_28
| spl103_54
| spl103_107
| spl103_51
| spl103_47
| spl103_25
| spl103_43
| spl103_39
| spl103_21
| spl103_18
| spl103_15
| spl103_12
| spl103_10
| spl103_124
| spl103_117
| spl103_102
| spl103_7
| spl103_76
| spl103_35
| spl103_4
| spl103_1
| ~ spl103_162
| spl103_164
| spl103_155
| spl103_32
| spl103_75
| spl103_72
| spl103_152
| spl103_65
| spl103_61 ),
inference(avatar_split_clause,[],[f366,f640,f659,f1065,f687,f703,f512,f1079,f1121,f1111,f374,f386,f526,f711,f399,f829,f906,f936,f411,f421,f435,f449,f463,f544,f561,f480,f578,f596,f852,f610,f492,f960,f869,f978,f624,f730,f744,f498,f1009,f1031,f759,f781,f810,f886]) ).
fof(f366,plain,
! [X2,X1] :
( sP20
| sP19
| sP0
| sP18
| sP17
| sP28
| p(X1,X2)
| p1(sK102)
| ~ p1(z)
| sP39
| sP38
| sP27
| sP16
| sP37
| sP10
| sP6
| sP5
| sP36
| sP35
| sP34
| sP33
| sP32
| sP26
| sP25
| sP31
| sP24
| sP23
| sP9
| sP22
| sP30
| sP4
| sP8
| sP3
| sP21
| sP15
| sP14
| sP29
| sP2
| sP1
| sP13
| sP12
| sP11
| sP7 ),
inference(cnf_transformation,[],[f212]) ).
fof(f1127,plain,
( spl103_113
| spl103_98
| spl103_91
| spl103_86
| spl103_144
| spl103_140
| spl103_29
| spl103_83
| spl103_80
| spl103_57
| spl103_133
| spl103_110
| spl103_130
| spl103_28
| spl103_54
| spl103_107
| spl103_51
| spl103_47
| spl103_25
| spl103_43
| spl103_39
| spl103_21
| spl103_18
| spl103_15
| spl103_12
| spl103_10
| spl103_124
| spl103_117
| spl103_102
| spl103_7
| spl103_76
| spl103_35
| spl103_4
| spl103_1
| spl103_162
| spl103_5
| spl103_155
| spl103_32
| spl103_75
| spl103_72
| spl103_152
| spl103_65
| spl103_61 ),
inference(avatar_split_clause,[],[f367,f640,f659,f1065,f687,f703,f512,f1079,f390,f1111,f374,f386,f526,f711,f399,f829,f906,f936,f411,f421,f435,f449,f463,f544,f561,f480,f578,f596,f852,f610,f492,f960,f869,f978,f624,f730,f744,f498,f1009,f1031,f759,f781,f810,f886]) ).
fof(f367,plain,
! [X2,X3,X1] :
( sP20
| sP19
| sP0
| sP18
| sP17
| sP28
| p(X1,X2)
| ~ p1(X3)
| p1(z)
| sP39
| sP38
| sP27
| sP16
| sP37
| sP10
| sP6
| sP5
| sP36
| sP35
| sP34
| sP33
| sP32
| sP26
| sP25
| sP31
| sP24
| sP23
| sP9
| sP22
| sP30
| sP4
| sP8
| sP3
| sP21
| sP15
| sP14
| sP29
| sP2
| sP1
| sP13
| sP12
| sP11
| sP7 ),
inference(cnf_transformation,[],[f212]) ).
fof(f1126,plain,
( spl103_113
| spl103_98
| spl103_91
| spl103_86
| spl103_144
| spl103_140
| spl103_29
| spl103_83
| spl103_80
| spl103_57
| spl103_133
| spl103_110
| spl103_130
| spl103_28
| spl103_54
| spl103_107
| spl103_51
| spl103_47
| spl103_25
| spl103_43
| spl103_39
| spl103_21
| spl103_18
| spl103_15
| spl103_12
| spl103_10
| spl103_124
| spl103_117
| spl103_102
| spl103_7
| spl103_76
| spl103_35
| spl103_4
| spl103_1
| ~ spl103_162
| spl103_5
| spl103_155
| spl103_32
| spl103_75
| spl103_72
| spl103_152
| spl103_65
| spl103_61 ),
inference(avatar_split_clause,[],[f368,f640,f659,f1065,f687,f703,f512,f1079,f390,f1111,f374,f386,f526,f711,f399,f829,f906,f936,f411,f421,f435,f449,f463,f544,f561,f480,f578,f596,f852,f610,f492,f960,f869,f978,f624,f730,f744,f498,f1009,f1031,f759,f781,f810,f886]) ).
fof(f368,plain,
! [X2,X3,X1] :
( sP20
| sP19
| sP0
| sP18
| sP17
| sP28
| p(X1,X2)
| ~ p1(X3)
| ~ p1(z)
| sP39
| sP38
| sP27
| sP16
| sP37
| sP10
| sP6
| sP5
| sP36
| sP35
| sP34
| sP33
| sP32
| sP26
| sP25
| sP31
| sP24
| sP23
| sP9
| sP22
| sP30
| sP4
| sP8
| sP3
| sP21
| sP15
| sP14
| sP29
| sP2
| sP1
| sP13
| sP12
| sP11
| sP7 ),
inference(cnf_transformation,[],[f212]) ).
fof(f1125,plain,
( spl103_113
| spl103_98
| spl103_91
| spl103_86
| spl103_144
| spl103_140
| spl103_29
| spl103_83
| spl103_80
| spl103_57
| spl103_133
| spl103_110
| spl103_130
| spl103_28
| spl103_54
| spl103_107
| spl103_51
| spl103_47
| spl103_25
| spl103_43
| spl103_39
| spl103_21
| spl103_18
| spl103_15
| spl103_12
| spl103_10
| spl103_124
| spl103_117
| spl103_102
| spl103_7
| spl103_76
| spl103_35
| spl103_4
| spl103_1
| spl103_162
| spl103_164
| ~ spl103_163
| spl103_32
| spl103_75
| spl103_72
| spl103_152
| spl103_65
| spl103_61 ),
inference(avatar_split_clause,[],[f369,f640,f659,f1065,f687,f703,f512,f1115,f1121,f1111,f374,f386,f526,f711,f399,f829,f906,f936,f411,f421,f435,f449,f463,f544,f561,f480,f578,f596,f852,f610,f492,f960,f869,f978,f624,f730,f744,f498,f1009,f1031,f759,f781,f810,f886]) ).
fof(f369,plain,
( sP20
| sP19
| sP0
| sP18
| sP17
| sP28
| ~ p(sK101,sK101)
| p1(sK102)
| p1(z)
| sP39
| sP38
| sP27
| sP16
| sP37
| sP10
| sP6
| sP5
| sP36
| sP35
| sP34
| sP33
| sP32
| sP26
| sP25
| sP31
| sP24
| sP23
| sP9
| sP22
| sP30
| sP4
| sP8
| sP3
| sP21
| sP15
| sP14
| sP29
| sP2
| sP1
| sP13
| sP12
| sP11
| sP7 ),
inference(cnf_transformation,[],[f212]) ).
fof(f1124,plain,
( spl103_113
| spl103_98
| spl103_91
| spl103_86
| spl103_144
| spl103_140
| spl103_29
| spl103_83
| spl103_80
| spl103_57
| spl103_133
| spl103_110
| spl103_130
| spl103_28
| spl103_54
| spl103_107
| spl103_51
| spl103_47
| spl103_25
| spl103_43
| spl103_39
| spl103_21
| spl103_18
| spl103_15
| spl103_12
| spl103_10
| spl103_124
| spl103_117
| spl103_102
| spl103_7
| spl103_76
| spl103_35
| spl103_4
| spl103_1
| ~ spl103_162
| spl103_164
| ~ spl103_163
| spl103_32
| spl103_75
| spl103_72
| spl103_152
| spl103_65
| spl103_61 ),
inference(avatar_split_clause,[],[f370,f640,f659,f1065,f687,f703,f512,f1115,f1121,f1111,f374,f386,f526,f711,f399,f829,f906,f936,f411,f421,f435,f449,f463,f544,f561,f480,f578,f596,f852,f610,f492,f960,f869,f978,f624,f730,f744,f498,f1009,f1031,f759,f781,f810,f886]) ).
fof(f370,plain,
( sP20
| sP19
| sP0
| sP18
| sP17
| sP28
| ~ p(sK101,sK101)
| p1(sK102)
| ~ p1(z)
| sP39
| sP38
| sP27
| sP16
| sP37
| sP10
| sP6
| sP5
| sP36
| sP35
| sP34
| sP33
| sP32
| sP26
| sP25
| sP31
| sP24
| sP23
| sP9
| sP22
| sP30
| sP4
| sP8
| sP3
| sP21
| sP15
| sP14
| sP29
| sP2
| sP1
| sP13
| sP12
| sP11
| sP7 ),
inference(cnf_transformation,[],[f212]) ).
fof(f1119,plain,
( spl103_113
| spl103_98
| spl103_91
| spl103_86
| spl103_144
| spl103_140
| spl103_29
| spl103_83
| spl103_80
| spl103_57
| spl103_133
| spl103_110
| spl103_130
| spl103_28
| spl103_54
| spl103_107
| spl103_51
| spl103_47
| spl103_25
| spl103_43
| spl103_39
| spl103_21
| spl103_18
| spl103_15
| spl103_12
| spl103_10
| spl103_124
| spl103_117
| spl103_102
| spl103_7
| spl103_76
| spl103_35
| spl103_4
| spl103_1
| spl103_162
| spl103_5
| ~ spl103_163
| spl103_32
| spl103_75
| spl103_72
| spl103_152
| spl103_65
| spl103_61 ),
inference(avatar_split_clause,[],[f371,f640,f659,f1065,f687,f703,f512,f1115,f390,f1111,f374,f386,f526,f711,f399,f829,f906,f936,f411,f421,f435,f449,f463,f544,f561,f480,f578,f596,f852,f610,f492,f960,f869,f978,f624,f730,f744,f498,f1009,f1031,f759,f781,f810,f886]) ).
fof(f371,plain,
! [X3] :
( sP20
| sP19
| sP0
| sP18
| sP17
| sP28
| ~ p(sK101,sK101)
| ~ p1(X3)
| p1(z)
| sP39
| sP38
| sP27
| sP16
| sP37
| sP10
| sP6
| sP5
| sP36
| sP35
| sP34
| sP33
| sP32
| sP26
| sP25
| sP31
| sP24
| sP23
| sP9
| sP22
| sP30
| sP4
| sP8
| sP3
| sP21
| sP15
| sP14
| sP29
| sP2
| sP1
| sP13
| sP12
| sP11
| sP7 ),
inference(cnf_transformation,[],[f212]) ).
fof(f1118,plain,
( spl103_113
| spl103_98
| spl103_91
| spl103_86
| spl103_144
| spl103_140
| spl103_29
| spl103_83
| spl103_80
| spl103_57
| spl103_133
| spl103_110
| spl103_130
| spl103_28
| spl103_54
| spl103_107
| spl103_51
| spl103_47
| spl103_25
| spl103_43
| spl103_39
| spl103_21
| spl103_18
| spl103_15
| spl103_12
| spl103_10
| spl103_124
| spl103_117
| spl103_102
| spl103_7
| spl103_76
| spl103_35
| spl103_4
| spl103_1
| ~ spl103_162
| spl103_5
| ~ spl103_163
| spl103_32
| spl103_75
| spl103_72
| spl103_152
| spl103_65
| spl103_61 ),
inference(avatar_split_clause,[],[f372,f640,f659,f1065,f687,f703,f512,f1115,f390,f1111,f374,f386,f526,f711,f399,f829,f906,f936,f411,f421,f435,f449,f463,f544,f561,f480,f578,f596,f852,f610,f492,f960,f869,f978,f624,f730,f744,f498,f1009,f1031,f759,f781,f810,f886]) ).
fof(f372,plain,
! [X3] :
( sP20
| sP19
| sP0
| sP18
| sP17
| sP28
| ~ p(sK101,sK101)
| ~ p1(X3)
| ~ p1(z)
| sP39
| sP38
| sP27
| sP16
| sP37
| sP10
| sP6
| sP5
| sP36
| sP35
| sP34
| sP33
| sP32
| sP26
| sP25
| sP31
| sP24
| sP23
| sP9
| sP22
| sP30
| sP4
| sP8
| sP3
| sP21
| sP15
| sP14
| sP29
| sP2
| sP1
| sP13
| sP12
| sP11
| sP7 ),
inference(cnf_transformation,[],[f212]) ).
fof(f1081,plain,
( ~ spl103_152
| ~ spl103_154
| spl103_155 ),
inference(avatar_split_clause,[],[f362,f1079,f1074,f1065]) ).
fof(f1074,plain,
( spl103_154
<=> s1(sK99) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_154])]) ).
fof(f362,plain,
! [X2,X3] :
( p(X2,X3)
| ~ s1(sK99)
| ~ sP0 ),
inference(cnf_transformation,[],[f208]) ).
fof(f208,plain,
( ! [X2,X3] :
( ~ p(sK99,sK100)
& s1(sK99)
& ( p(X2,X3)
| ~ s1(sK99) )
& r1(sK100)
& r1(sK99)
& ( p(sK100,X3)
| ~ r1(X3) )
& q1(sK100)
& q1(sK99)
& ( p(X2,sK99)
| ~ q1(X2) ) )
| ~ sP0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK99,sK100])],[f206,f207]) ).
fof(f207,plain,
( ? [X0,X1] :
! [X2,X3] :
( ~ p(X0,X1)
& s1(X0)
& ( p(X2,X3)
| ~ s1(X0) )
& r1(X1)
& r1(X0)
& ( p(X1,X3)
| ~ r1(X3) )
& q1(X1)
& q1(X0)
& ( p(X2,X0)
| ~ q1(X2) ) )
=> ! [X3,X2] :
( ~ p(sK99,sK100)
& s1(sK99)
& ( p(X2,X3)
| ~ s1(sK99) )
& r1(sK100)
& r1(sK99)
& ( p(sK100,X3)
| ~ r1(X3) )
& q1(sK100)
& q1(sK99)
& ( p(X2,sK99)
| ~ q1(X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f206,plain,
( ? [X0,X1] :
! [X2,X3] :
( ~ p(X0,X1)
& s1(X0)
& ( p(X2,X3)
| ~ s1(X0) )
& r1(X1)
& r1(X0)
& ( p(X1,X3)
| ~ r1(X3) )
& q1(X1)
& q1(X0)
& ( p(X2,X0)
| ~ q1(X2) ) )
| ~ sP0 ),
inference(rectify,[],[f205]) ).
fof(f205,plain,
( ? [X7,X8] :
! [X9,X10] :
( ~ p(X7,X8)
& s1(X7)
& ( p(X9,X10)
| ~ s1(X7) )
& r1(X8)
& r1(X7)
& ( p(X8,X10)
| ~ r1(X10) )
& q1(X8)
& q1(X7)
& ( p(X9,X7)
| ~ q1(X9) ) )
| ~ sP0 ),
inference(nnf_transformation,[],[f7]) ).
fof(f1077,plain,
( ~ spl103_152
| spl103_154 ),
inference(avatar_split_clause,[],[f363,f1074,f1065]) ).
fof(f363,plain,
( s1(sK99)
| ~ sP0 ),
inference(cnf_transformation,[],[f208]) ).
fof(f1072,plain,
( ~ spl103_152
| ~ spl103_153 ),
inference(avatar_split_clause,[],[f364,f1069,f1065]) ).
fof(f364,plain,
( ~ p(sK99,sK100)
| ~ sP0 ),
inference(cnf_transformation,[],[f208]) ).
fof(f1063,plain,
( ~ spl103_144
| spl103_151 ),
inference(avatar_split_clause,[],[f349,f1060,f1031]) ).
fof(f349,plain,
( p1(sK98)
| ~ sP1 ),
inference(cnf_transformation,[],[f204]) ).
fof(f204,plain,
( ! [X1,X2,X3,X4,X5] :
( ( ~ c(X4)
| ~ p1(X4) )
& ( ~ g(X3)
| ~ p1(X3) )
& ( p1(X5)
| ~ s(sK98,X5) )
& ( c(f(X2))
| g(X2)
| ~ e(X2) )
& ( s(X1,f(X1))
| g(X1)
| ~ e(X1) )
& e(sK98)
& p1(sK98) )
| ~ sP1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK98])],[f202,f203]) ).
fof(f203,plain,
( ? [X0] :
! [X1,X2,X3,X4,X5] :
( ( ~ c(X4)
| ~ p1(X4) )
& ( ~ g(X3)
| ~ p1(X3) )
& ( p1(X5)
| ~ s(X0,X5) )
& ( c(f(X2))
| g(X2)
| ~ e(X2) )
& ( s(X1,f(X1))
| g(X1)
| ~ e(X1) )
& e(X0)
& p1(X0) )
=> ! [X5,X4,X3,X2,X1] :
( ( ~ c(X4)
| ~ p1(X4) )
& ( ~ g(X3)
| ~ p1(X3) )
& ( p1(X5)
| ~ s(sK98,X5) )
& ( c(f(X2))
| g(X2)
| ~ e(X2) )
& ( s(X1,f(X1))
| g(X1)
| ~ e(X1) )
& e(sK98)
& p1(sK98) ) ),
introduced(choice_axiom,[]) ).
fof(f202,plain,
( ? [X0] :
! [X1,X2,X3,X4,X5] :
( ( ~ c(X4)
| ~ p1(X4) )
& ( ~ g(X3)
| ~ p1(X3) )
& ( p1(X5)
| ~ s(X0,X5) )
& ( c(f(X2))
| g(X2)
| ~ e(X2) )
& ( s(X1,f(X1))
| g(X1)
| ~ e(X1) )
& e(X0)
& p1(X0) )
| ~ sP1 ),
inference(rectify,[],[f201]) ).
fof(f201,plain,
( ? [X118] :
! [X119,X120,X121,X122,X123] :
( ( ~ c(X122)
| ~ p1(X122) )
& ( ~ g(X121)
| ~ p1(X121) )
& ( p1(X123)
| ~ s(X118,X123) )
& ( c(f(X120))
| g(X120)
| ~ e(X120) )
& ( s(X119,f(X119))
| g(X119)
| ~ e(X119) )
& e(X118)
& p1(X118) )
| ~ sP1 ),
inference(nnf_transformation,[],[f8]) ).
fof(f1058,plain,
( ~ spl103_144
| spl103_150 ),
inference(avatar_split_clause,[],[f350,f1055,f1031]) ).
fof(f350,plain,
( e(sK98)
| ~ sP1 ),
inference(cnf_transformation,[],[f204]) ).
fof(f1053,plain,
( ~ spl103_144
| spl103_149 ),
inference(avatar_split_clause,[],[f351,f1051,f1031]) ).
fof(f351,plain,
! [X1] :
( s(X1,f(X1))
| g(X1)
| ~ e(X1)
| ~ sP1 ),
inference(cnf_transformation,[],[f204]) ).
fof(f1049,plain,
( ~ spl103_144
| spl103_148 ),
inference(avatar_split_clause,[],[f352,f1047,f1031]) ).
fof(f352,plain,
! [X2] :
( c(f(X2))
| g(X2)
| ~ e(X2)
| ~ sP1 ),
inference(cnf_transformation,[],[f204]) ).
fof(f1045,plain,
( ~ spl103_144
| spl103_147 ),
inference(avatar_split_clause,[],[f353,f1043,f1031]) ).
fof(f353,plain,
! [X5] :
( p1(X5)
| ~ s(sK98,X5)
| ~ sP1 ),
inference(cnf_transformation,[],[f204]) ).
fof(f1041,plain,
( ~ spl103_144
| spl103_146 ),
inference(avatar_split_clause,[],[f354,f1039,f1031]) ).
fof(f354,plain,
! [X3] :
( ~ g(X3)
| ~ p1(X3)
| ~ sP1 ),
inference(cnf_transformation,[],[f204]) ).
fof(f1037,plain,
( ~ spl103_144
| spl103_145 ),
inference(avatar_split_clause,[],[f355,f1035,f1031]) ).
fof(f355,plain,
! [X4] :
( ~ c(X4)
| ~ p1(X4)
| ~ sP1 ),
inference(cnf_transformation,[],[f204]) ).
fof(f1024,plain,
( ~ spl103_140
| spl103_142 ),
inference(avatar_split_clause,[],[f344,f1021,f1009]) ).
fof(f344,plain,
( s1(sK96)
| ~ sP2 ),
inference(cnf_transformation,[],[f200]) ).
fof(f200,plain,
( ( ! [X3,X4] :
( ~ q(X3,X4)
| ~ p1(X3) )
& ! [X5,X6] :
( q(X5,X6)
| ~ r(X5,X6) )
& ! [X7] :
( p1(X7)
| ~ s1(X7) )
& r(sK96,sK97)
& s1(sK96)
& s1(sK95) )
| ~ sP2 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK95,sK96,sK97])],[f198,f199]) ).
fof(f199,plain,
( ? [X0,X1,X2] :
( ! [X3,X4] :
( ~ q(X3,X4)
| ~ p1(X3) )
& ! [X5,X6] :
( q(X5,X6)
| ~ r(X5,X6) )
& ! [X7] :
( p1(X7)
| ~ s1(X7) )
& r(X1,X2)
& s1(X1)
& s1(X0) )
=> ( ! [X3,X4] :
( ~ q(X3,X4)
| ~ p1(X3) )
& ! [X5,X6] :
( q(X5,X6)
| ~ r(X5,X6) )
& ! [X7] :
( p1(X7)
| ~ s1(X7) )
& r(sK96,sK97)
& s1(sK96)
& s1(sK95) ) ),
introduced(choice_axiom,[]) ).
fof(f198,plain,
( ? [X0,X1,X2] :
( ! [X3,X4] :
( ~ q(X3,X4)
| ~ p1(X3) )
& ! [X5,X6] :
( q(X5,X6)
| ~ r(X5,X6) )
& ! [X7] :
( p1(X7)
| ~ s1(X7) )
& r(X1,X2)
& s1(X1)
& s1(X0) )
| ~ sP2 ),
inference(rectify,[],[f197]) ).
fof(f197,plain,
( ? [X110,X111,X112] :
( ! [X116,X117] :
( ~ q(X116,X117)
| ~ p1(X116) )
& ! [X113,X114] :
( q(X113,X114)
| ~ r(X113,X114) )
& ! [X115] :
( p1(X115)
| ~ s1(X115) )
& r(X111,X112)
& s1(X111)
& s1(X110) )
| ~ sP2 ),
inference(nnf_transformation,[],[f9]) ).
fof(f1019,plain,
( ~ spl103_140
| spl103_141 ),
inference(avatar_split_clause,[],[f345,f1016,f1009]) ).
fof(f345,plain,
( r(sK96,sK97)
| ~ sP2 ),
inference(cnf_transformation,[],[f200]) ).
fof(f1014,plain,
( ~ spl103_140
| spl103_136 ),
inference(avatar_split_clause,[],[f346,f990,f1009]) ).
fof(f346,plain,
! [X7] :
( p1(X7)
| ~ s1(X7)
| ~ sP2 ),
inference(cnf_transformation,[],[f200]) ).
fof(f1013,plain,
( ~ spl103_140
| spl103_135 ),
inference(avatar_split_clause,[],[f347,f986,f1009]) ).
fof(f347,plain,
! [X6,X5] :
( q(X5,X6)
| ~ r(X5,X6)
| ~ sP2 ),
inference(cnf_transformation,[],[f200]) ).
fof(f1012,plain,
( ~ spl103_140
| spl103_134 ),
inference(avatar_split_clause,[],[f348,f982,f1009]) ).
fof(f348,plain,
! [X3,X4] :
( ~ q(X3,X4)
| ~ p1(X3)
| ~ sP2 ),
inference(cnf_transformation,[],[f200]) ).
fof(f1002,plain,
( ~ spl103_133
| spl103_138 ),
inference(avatar_split_clause,[],[f338,f999,f978]) ).
fof(f338,plain,
( s1(sK93)
| ~ sP3 ),
inference(cnf_transformation,[],[f196]) ).
fof(f196,plain,
( ( ! [X3,X4] :
( ~ q(X3,X4)
| ~ p1(X3) )
& ! [X5,X6] :
( q(X5,X6)
| ~ r(X5,X6) )
& ! [X7] :
( p1(X7)
| ~ s1(X7) )
& r(sK93,sK94)
& s1(sK93)
& s1(sK92) )
| ~ sP3 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK92,sK93,sK94])],[f194,f195]) ).
fof(f195,plain,
( ? [X0,X1,X2] :
( ! [X3,X4] :
( ~ q(X3,X4)
| ~ p1(X3) )
& ! [X5,X6] :
( q(X5,X6)
| ~ r(X5,X6) )
& ! [X7] :
( p1(X7)
| ~ s1(X7) )
& r(X1,X2)
& s1(X1)
& s1(X0) )
=> ( ! [X3,X4] :
( ~ q(X3,X4)
| ~ p1(X3) )
& ! [X5,X6] :
( q(X5,X6)
| ~ r(X5,X6) )
& ! [X7] :
( p1(X7)
| ~ s1(X7) )
& r(sK93,sK94)
& s1(sK93)
& s1(sK92) ) ),
introduced(choice_axiom,[]) ).
fof(f194,plain,
( ? [X0,X1,X2] :
( ! [X3,X4] :
( ~ q(X3,X4)
| ~ p1(X3) )
& ! [X5,X6] :
( q(X5,X6)
| ~ r(X5,X6) )
& ! [X7] :
( p1(X7)
| ~ s1(X7) )
& r(X1,X2)
& s1(X1)
& s1(X0) )
| ~ sP3 ),
inference(rectify,[],[f193]) ).
fof(f193,plain,
( ? [X88,X89,X90] :
( ! [X94,X95] :
( ~ q(X94,X95)
| ~ p1(X94) )
& ! [X91,X92] :
( q(X91,X92)
| ~ r(X91,X92) )
& ! [X93] :
( p1(X93)
| ~ s1(X93) )
& r(X89,X90)
& s1(X89)
& s1(X88) )
| ~ sP3 ),
inference(nnf_transformation,[],[f10]) ).
fof(f997,plain,
( ~ spl103_133
| spl103_137 ),
inference(avatar_split_clause,[],[f339,f994,f978]) ).
fof(f339,plain,
( r(sK93,sK94)
| ~ sP3 ),
inference(cnf_transformation,[],[f196]) ).
fof(f992,plain,
( ~ spl103_133
| spl103_136 ),
inference(avatar_split_clause,[],[f340,f990,f978]) ).
fof(f340,plain,
! [X7] :
( p1(X7)
| ~ s1(X7)
| ~ sP3 ),
inference(cnf_transformation,[],[f196]) ).
fof(f988,plain,
( ~ spl103_133
| spl103_135 ),
inference(avatar_split_clause,[],[f341,f986,f978]) ).
fof(f341,plain,
! [X6,X5] :
( q(X5,X6)
| ~ r(X5,X6)
| ~ sP3 ),
inference(cnf_transformation,[],[f196]) ).
fof(f984,plain,
( ~ spl103_133
| spl103_134 ),
inference(avatar_split_clause,[],[f342,f982,f978]) ).
fof(f342,plain,
! [X3,X4] :
( ~ q(X3,X4)
| ~ p1(X3)
| ~ sP3 ),
inference(cnf_transformation,[],[f196]) ).
fof(f976,plain,
( ~ spl103_130
| spl103_132 ),
inference(avatar_split_clause,[],[f331,f973,f960]) ).
fof(f331,plain,
( p1(sK91)
| ~ sP4 ),
inference(cnf_transformation,[],[f192]) ).
fof(f192,plain,
( ( ( ( ( ( ~ q0
& q0 )
| ( b0
& ~ b0 ) )
& a0 )
| ! [X0] : ~ p1(X0) )
& p1(sK91) )
| ~ sP4 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK91])],[f190,f191]) ).
fof(f191,plain,
( ? [X1] : p1(X1)
=> p1(sK91) ),
introduced(choice_axiom,[]) ).
fof(f190,plain,
( ( ( ( ( ( ~ q0
& q0 )
| ( b0
& ~ b0 ) )
& a0 )
| ! [X0] : ~ p1(X0) )
& ? [X1] : p1(X1) )
| ~ sP4 ),
inference(rectify,[],[f189]) ).
fof(f189,plain,
( ( ( ( ( ( ~ q0
& q0 )
| ( b0
& ~ b0 ) )
& a0 )
| ! [X83] : ~ p1(X83) )
& ? [X82] : p1(X82) )
| ~ sP4 ),
inference(nnf_transformation,[],[f11]) ).
fof(f970,plain,
( ~ spl103_130
| spl103_5
| ~ spl103_74
| spl103_131 ),
inference(avatar_split_clause,[],[f333,f964,f695,f390,f960]) ).
fof(f695,plain,
( spl103_74
<=> b0 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_74])]) ).
fof(f964,plain,
( spl103_131
<=> q0 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_131])]) ).
fof(f333,plain,
! [X0] :
( q0
| ~ b0
| ~ p1(X0)
| ~ sP4 ),
inference(cnf_transformation,[],[f192]) ).
fof(f969,plain,
( ~ spl103_130
| spl103_5
| spl103_74
| spl103_131 ),
inference(avatar_split_clause,[],[f334,f964,f695,f390,f960]) ).
fof(f334,plain,
! [X0] :
( q0
| b0
| ~ p1(X0)
| ~ sP4 ),
inference(cnf_transformation,[],[f192]) ).
fof(f968,plain,
( ~ spl103_130
| spl103_5
| ~ spl103_74
| ~ spl103_131 ),
inference(avatar_split_clause,[],[f335,f964,f695,f390,f960]) ).
fof(f335,plain,
! [X0] :
( ~ q0
| ~ b0
| ~ p1(X0)
| ~ sP4 ),
inference(cnf_transformation,[],[f192]) ).
fof(f967,plain,
( ~ spl103_130
| spl103_5
| spl103_74
| ~ spl103_131 ),
inference(avatar_split_clause,[],[f336,f964,f695,f390,f960]) ).
fof(f336,plain,
! [X0] :
( ~ q0
| b0
| ~ p1(X0)
| ~ sP4 ),
inference(cnf_transformation,[],[f192]) ).
fof(f958,plain,
( ~ spl103_124
| spl103_129 ),
inference(avatar_split_clause,[],[f325,f956,f936]) ).
fof(f325,plain,
! [X2,X0] :
( p(X0,X2)
| p(X2,sK90(X0))
| ~ sP5 ),
inference(cnf_transformation,[],[f188]) ).
fof(f188,plain,
( ! [X0,X2] :
( ( ~ p(X2,sK90(X0))
& p(X2,X0)
& p(X0,X2) )
| ( ! [X3] : ~ p(X3,X2)
& p(X2,sK90(X0)) ) )
| ~ sP5 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK90])],[f186,f187]) ).
fof(f187,plain,
! [X0] :
( ? [X1] :
! [X2] :
( ( ~ p(X2,X1)
& p(X2,X0)
& p(X0,X2) )
| ( ! [X3] : ~ p(X3,X2)
& p(X2,X1) ) )
=> ! [X2] :
( ( ~ p(X2,sK90(X0))
& p(X2,X0)
& p(X0,X2) )
| ( ! [X3] : ~ p(X3,X2)
& p(X2,sK90(X0)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f186,plain,
( ! [X0] :
? [X1] :
! [X2] :
( ( ~ p(X2,X1)
& p(X2,X0)
& p(X0,X2) )
| ( ! [X3] : ~ p(X3,X2)
& p(X2,X1) ) )
| ~ sP5 ),
inference(rectify,[],[f185]) ).
fof(f185,plain,
( ! [X42] :
? [X43] :
! [X44] :
( ( ~ p(X44,X43)
& p(X44,X42)
& p(X42,X44) )
| ( ! [X45] : ~ p(X45,X44)
& p(X44,X43) ) )
| ~ sP5 ),
inference(nnf_transformation,[],[f12]) ).
fof(f946,plain,
( ~ spl103_124
| spl103_126 ),
inference(avatar_split_clause,[],[f328,f944,f936]) ).
fof(f328,plain,
! [X2,X3,X0] :
( p(X2,X0)
| ~ p(X3,X2)
| ~ sP5 ),
inference(cnf_transformation,[],[f188]) ).
fof(f942,plain,
( ~ spl103_124
| spl103_125 ),
inference(avatar_split_clause,[],[f330,f940,f936]) ).
fof(f330,plain,
! [X2,X3,X0] :
( ~ p(X2,sK90(X0))
| ~ p(X3,X2)
| ~ sP5 ),
inference(cnf_transformation,[],[f188]) ).
fof(f934,plain,
( ~ spl103_117
| spl103_123 ),
inference(avatar_split_clause,[],[f319,f932,f906]) ).
fof(f319,plain,
! [X2,X3,X5] :
( a_member_of(X5,X3)
| ~ a_member_of(X5,X2)
| ~ eq(X2,X3)
| ~ sP6 ),
inference(cnf_transformation,[],[f184]) ).
fof(f184,plain,
( ( ~ eq(sK88,sK87)
& eq(sK87,sK88)
& ! [X2,X3] :
( ( eq(X2,X3)
| ( ( ~ a_member_of(sK89(X2,X3),X3)
| ~ a_member_of(sK89(X2,X3),X2) )
& ( a_member_of(sK89(X2,X3),X3)
| a_member_of(sK89(X2,X3),X2) ) ) )
& ( ! [X5] :
( ( a_member_of(X5,X2)
| ~ a_member_of(X5,X3) )
& ( a_member_of(X5,X3)
| ~ a_member_of(X5,X2) ) )
| ~ eq(X2,X3) ) ) )
| ~ sP6 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK87,sK88,sK89])],[f181,f183,f182]) ).
fof(f182,plain,
( ? [X0,X1] :
( ~ eq(X1,X0)
& eq(X0,X1) )
=> ( ~ eq(sK88,sK87)
& eq(sK87,sK88) ) ),
introduced(choice_axiom,[]) ).
fof(f183,plain,
! [X2,X3] :
( ? [X4] :
( ( ~ a_member_of(X4,X3)
| ~ a_member_of(X4,X2) )
& ( a_member_of(X4,X3)
| a_member_of(X4,X2) ) )
=> ( ( ~ a_member_of(sK89(X2,X3),X3)
| ~ a_member_of(sK89(X2,X3),X2) )
& ( a_member_of(sK89(X2,X3),X3)
| a_member_of(sK89(X2,X3),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f181,plain,
( ( ? [X0,X1] :
( ~ eq(X1,X0)
& eq(X0,X1) )
& ! [X2,X3] :
( ( eq(X2,X3)
| ? [X4] :
( ( ~ a_member_of(X4,X3)
| ~ a_member_of(X4,X2) )
& ( a_member_of(X4,X3)
| a_member_of(X4,X2) ) ) )
& ( ! [X5] :
( ( a_member_of(X5,X2)
| ~ a_member_of(X5,X3) )
& ( a_member_of(X5,X3)
| ~ a_member_of(X5,X2) ) )
| ~ eq(X2,X3) ) ) )
| ~ sP6 ),
inference(rectify,[],[f180]) ).
fof(f180,plain,
( ( ? [X40,X41] :
( ~ eq(X41,X40)
& eq(X40,X41) )
& ! [X37,X38] :
( ( eq(X37,X38)
| ? [X39] :
( ( ~ a_member_of(X39,X38)
| ~ a_member_of(X39,X37) )
& ( a_member_of(X39,X38)
| a_member_of(X39,X37) ) ) )
& ( ! [X39] :
( ( a_member_of(X39,X37)
| ~ a_member_of(X39,X38) )
& ( a_member_of(X39,X38)
| ~ a_member_of(X39,X37) ) )
| ~ eq(X37,X38) ) ) )
| ~ sP6 ),
inference(nnf_transformation,[],[f13]) ).
fof(f930,plain,
( ~ spl103_117
| spl103_122 ),
inference(avatar_split_clause,[],[f320,f928,f906]) ).
fof(f320,plain,
! [X2,X3,X5] :
( a_member_of(X5,X2)
| ~ a_member_of(X5,X3)
| ~ eq(X2,X3)
| ~ sP6 ),
inference(cnf_transformation,[],[f184]) ).
fof(f926,plain,
( ~ spl103_117
| spl103_121 ),
inference(avatar_split_clause,[],[f321,f924,f906]) ).
fof(f321,plain,
! [X2,X3] :
( eq(X2,X3)
| a_member_of(sK89(X2,X3),X3)
| a_member_of(sK89(X2,X3),X2)
| ~ sP6 ),
inference(cnf_transformation,[],[f184]) ).
fof(f922,plain,
( ~ spl103_117
| spl103_120 ),
inference(avatar_split_clause,[],[f322,f920,f906]) ).
fof(f322,plain,
! [X2,X3] :
( eq(X2,X3)
| ~ a_member_of(sK89(X2,X3),X3)
| ~ a_member_of(sK89(X2,X3),X2)
| ~ sP6 ),
inference(cnf_transformation,[],[f184]) ).
fof(f918,plain,
( ~ spl103_117
| spl103_119 ),
inference(avatar_split_clause,[],[f323,f915,f906]) ).
fof(f323,plain,
( eq(sK87,sK88)
| ~ sP6 ),
inference(cnf_transformation,[],[f184]) ).
fof(f913,plain,
( ~ spl103_117
| ~ spl103_118 ),
inference(avatar_split_clause,[],[f324,f910,f906]) ).
fof(f324,plain,
( ~ eq(sK88,sK87)
| ~ sP6 ),
inference(cnf_transformation,[],[f184]) ).
fof(f904,plain,
( ~ spl103_113
| spl103_101 ),
inference(avatar_split_clause,[],[f314,f825,f886]) ).
fof(f314,plain,
! [X4] :
( q1(f(X4))
| ~ sP7 ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
( ( ! [X2,X3] :
( ~ q1(X2)
| ( ( ~ r1(sK85)
| ~ r1(sK86) )
& r1(X3) )
| ( ~ p1(X2)
& p1(f(X3)) ) )
& ! [X4] : q1(f(X4)) )
| ~ sP7 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK85,sK86])],[f177,f178]) ).
fof(f178,plain,
( ? [X0,X1] :
( ! [X2,X3] :
( ~ q1(X2)
| ( ( ~ r1(X0)
| ~ r1(X1) )
& r1(X3) )
| ( ~ p1(X2)
& p1(f(X3)) ) )
& ! [X4] : q1(f(X4)) )
=> ( ! [X3,X2] :
( ~ q1(X2)
| ( ( ~ r1(sK85)
| ~ r1(sK86) )
& r1(X3) )
| ( ~ p1(X2)
& p1(f(X3)) ) )
& ! [X4] : q1(f(X4)) ) ),
introduced(choice_axiom,[]) ).
fof(f177,plain,
( ? [X0,X1] :
( ! [X2,X3] :
( ~ q1(X2)
| ( ( ~ r1(X0)
| ~ r1(X1) )
& r1(X3) )
| ( ~ p1(X2)
& p1(f(X3)) ) )
& ! [X4] : q1(f(X4)) )
| ~ sP7 ),
inference(rectify,[],[f176]) ).
fof(f176,plain,
( ? [X136,X137] :
( ! [X139,X140] :
( ~ q1(X139)
| ( ( ~ r1(X136)
| ~ r1(X137) )
& r1(X140) )
| ( ~ p1(X139)
& p1(f(X140)) ) )
& ! [X138] : q1(f(X138)) )
| ~ sP7 ),
inference(nnf_transformation,[],[f14]) ).
fof(f903,plain,
( ~ spl103_113
| spl103_116
| spl103_96 ),
inference(avatar_split_clause,[],[f315,f801,f901,f886]) ).
fof(f315,plain,
! [X2,X3] :
( ~ q1(X2)
| r1(X3)
| p1(f(X3))
| ~ sP7 ),
inference(cnf_transformation,[],[f179]) ).
fof(f899,plain,
( ~ spl103_113
| spl103_38
| spl103_94 ),
inference(avatar_split_clause,[],[f316,f793,f540,f886]) ).
fof(f316,plain,
! [X2,X3] :
( ~ q1(X2)
| r1(X3)
| ~ p1(X2)
| ~ sP7 ),
inference(cnf_transformation,[],[f179]) ).
fof(f898,plain,
( ~ spl103_113
| spl103_95
| ~ spl103_114
| ~ spl103_115
| spl103_96 ),
inference(avatar_split_clause,[],[f317,f801,f894,f890,f798,f886]) ).
fof(f317,plain,
! [X2,X3] :
( ~ q1(X2)
| ~ r1(sK85)
| ~ r1(sK86)
| p1(f(X3))
| ~ sP7 ),
inference(cnf_transformation,[],[f179]) ).
fof(f897,plain,
( ~ spl103_113
| ~ spl103_114
| ~ spl103_115
| spl103_94 ),
inference(avatar_split_clause,[],[f318,f793,f894,f890,f886]) ).
fof(f318,plain,
! [X2] :
( ~ q1(X2)
| ~ r1(sK85)
| ~ r1(sK86)
| ~ p1(X2)
| ~ sP7 ),
inference(cnf_transformation,[],[f179]) ).
fof(f884,plain,
( ~ spl103_110
| spl103_106 ),
inference(avatar_split_clause,[],[f309,f848,f869]) ).
fof(f309,plain,
! [X3] :
( p1(X3)
| ~ q1(X3)
| ~ sP8 ),
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
( ( ! [X2] :
( ( ~ p1(sK84)
& q1(X2) )
| ( ~ p1(sK83)
& p1(X2) ) )
& ! [X3] :
( p1(X3)
| ~ q1(X3) ) )
| ~ sP8 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK83,sK84])],[f173,f174]) ).
fof(f174,plain,
( ? [X0,X1] :
( ! [X2] :
( ( ~ p1(X1)
& q1(X2) )
| ( ~ p1(X0)
& p1(X2) ) )
& ! [X3] :
( p1(X3)
| ~ q1(X3) ) )
=> ( ! [X2] :
( ( ~ p1(sK84)
& q1(X2) )
| ( ~ p1(sK83)
& p1(X2) ) )
& ! [X3] :
( p1(X3)
| ~ q1(X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f173,plain,
( ? [X0,X1] :
( ! [X2] :
( ( ~ p1(X1)
& q1(X2) )
| ( ~ p1(X0)
& p1(X2) ) )
& ! [X3] :
( p1(X3)
| ~ q1(X3) ) )
| ~ sP8 ),
inference(rectify,[],[f172]) ).
fof(f172,plain,
( ? [X84,X85] :
( ! [X87] :
( ( ~ p1(X85)
& q1(X87) )
| ( ~ p1(X84)
& p1(X87) ) )
& ! [X86] :
( p1(X86)
| ~ q1(X86) ) )
| ~ sP8 ),
inference(nnf_transformation,[],[f15]) ).
fof(f883,plain,
( ~ spl103_110
| spl103_105 ),
inference(avatar_split_clause,[],[f310,f844,f869]) ).
fof(f310,plain,
! [X2] :
( q1(X2)
| p1(X2)
| ~ sP8 ),
inference(cnf_transformation,[],[f175]) ).
fof(f880,plain,
( ~ spl103_110
| ~ spl103_111
| ~ spl103_112 ),
inference(avatar_split_clause,[],[f313,f877,f873,f869]) ).
fof(f313,plain,
( ~ p1(sK84)
| ~ p1(sK83)
| ~ sP8 ),
inference(cnf_transformation,[],[f175]) ).
fof(f867,plain,
( ~ spl103_107
| spl103_106 ),
inference(avatar_split_clause,[],[f304,f848,f852]) ).
fof(f304,plain,
! [X3] :
( p1(X3)
| ~ q1(X3)
| ~ sP9 ),
inference(cnf_transformation,[],[f171]) ).
fof(f171,plain,
( ( ! [X2] :
( ( ~ p1(sK82)
& q1(X2) )
| ( ~ p1(sK81)
& p1(X2) ) )
& ! [X3] :
( p1(X3)
| ~ q1(X3) ) )
| ~ sP9 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK81,sK82])],[f169,f170]) ).
fof(f170,plain,
( ? [X0,X1] :
( ! [X2] :
( ( ~ p1(X1)
& q1(X2) )
| ( ~ p1(X0)
& p1(X2) ) )
& ! [X3] :
( p1(X3)
| ~ q1(X3) ) )
=> ( ! [X2] :
( ( ~ p1(sK82)
& q1(X2) )
| ( ~ p1(sK81)
& p1(X2) ) )
& ! [X3] :
( p1(X3)
| ~ q1(X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
( ? [X0,X1] :
( ! [X2] :
( ( ~ p1(X1)
& q1(X2) )
| ( ~ p1(X0)
& p1(X2) ) )
& ! [X3] :
( p1(X3)
| ~ q1(X3) ) )
| ~ sP9 ),
inference(rectify,[],[f168]) ).
fof(f168,plain,
( ? [X73,X74] :
( ! [X76] :
( ( ~ p1(X74)
& q1(X76) )
| ( ~ p1(X73)
& p1(X76) ) )
& ! [X75] :
( p1(X75)
| ~ q1(X75) ) )
| ~ sP9 ),
inference(nnf_transformation,[],[f16]) ).
fof(f866,plain,
( ~ spl103_107
| spl103_105 ),
inference(avatar_split_clause,[],[f305,f844,f852]) ).
fof(f305,plain,
! [X2] :
( q1(X2)
| p1(X2)
| ~ sP9 ),
inference(cnf_transformation,[],[f171]) ).
fof(f863,plain,
( ~ spl103_107
| ~ spl103_108
| ~ spl103_109 ),
inference(avatar_split_clause,[],[f308,f860,f856,f852]) ).
fof(f308,plain,
( ~ p1(sK82)
| ~ p1(sK81)
| ~ sP9 ),
inference(cnf_transformation,[],[f171]) ).
fof(f850,plain,
( ~ spl103_102
| spl103_106 ),
inference(avatar_split_clause,[],[f299,f848,f829]) ).
fof(f299,plain,
! [X3] :
( p1(X3)
| ~ q1(X3)
| ~ sP10 ),
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
( ( ! [X2] :
( ( ~ p1(sK80)
& q1(X2) )
| ( ~ p1(sK79)
& p1(X2) ) )
& ! [X3] :
( p1(X3)
| ~ q1(X3) ) )
| ~ sP10 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK79,sK80])],[f165,f166]) ).
fof(f166,plain,
( ? [X0,X1] :
( ! [X2] :
( ( ~ p1(X1)
& q1(X2) )
| ( ~ p1(X0)
& p1(X2) ) )
& ! [X3] :
( p1(X3)
| ~ q1(X3) ) )
=> ( ! [X2] :
( ( ~ p1(sK80)
& q1(X2) )
| ( ~ p1(sK79)
& p1(X2) ) )
& ! [X3] :
( p1(X3)
| ~ q1(X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f165,plain,
( ? [X0,X1] :
( ! [X2] :
( ( ~ p1(X1)
& q1(X2) )
| ( ~ p1(X0)
& p1(X2) ) )
& ! [X3] :
( p1(X3)
| ~ q1(X3) ) )
| ~ sP10 ),
inference(rectify,[],[f164]) ).
fof(f164,plain,
( ? [X33,X34] :
( ! [X36] :
( ( ~ p1(X34)
& q1(X36) )
| ( ~ p1(X33)
& p1(X36) ) )
& ! [X35] :
( p1(X35)
| ~ q1(X35) ) )
| ~ sP10 ),
inference(nnf_transformation,[],[f17]) ).
fof(f846,plain,
( ~ spl103_102
| spl103_105 ),
inference(avatar_split_clause,[],[f300,f844,f829]) ).
fof(f300,plain,
! [X2] :
( q1(X2)
| p1(X2)
| ~ sP10 ),
inference(cnf_transformation,[],[f167]) ).
fof(f840,plain,
( ~ spl103_102
| ~ spl103_103
| ~ spl103_104 ),
inference(avatar_split_clause,[],[f303,f837,f833,f829]) ).
fof(f303,plain,
( ~ p1(sK80)
| ~ p1(sK79)
| ~ sP10 ),
inference(cnf_transformation,[],[f167]) ).
fof(f827,plain,
( ~ spl103_98
| spl103_101 ),
inference(avatar_split_clause,[],[f295,f825,f810]) ).
fof(f295,plain,
! [X4] :
( q1(f(X4))
| ~ sP11 ),
inference(cnf_transformation,[],[f163]) ).
fof(f163,plain,
( ( ! [X2,X3] :
( ~ q1(X2)
| ( ( ( ( ~ r1(sK78)
| ~ r1(sK77) )
& r1(X3) )
| ~ p1(X2) )
& p1(f(X3)) ) )
& ! [X4] : q1(f(X4)) )
| ~ sP11 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK77,sK78])],[f161,f162]) ).
fof(f162,plain,
( ? [X0,X1] :
( ! [X2,X3] :
( ~ q1(X2)
| ( ( ( ( ~ r1(X1)
| ~ r1(X0) )
& r1(X3) )
| ~ p1(X2) )
& p1(f(X3)) ) )
& ! [X4] : q1(f(X4)) )
=> ( ! [X3,X2] :
( ~ q1(X2)
| ( ( ( ( ~ r1(sK78)
| ~ r1(sK77) )
& r1(X3) )
| ~ p1(X2) )
& p1(f(X3)) ) )
& ! [X4] : q1(f(X4)) ) ),
introduced(choice_axiom,[]) ).
fof(f161,plain,
( ? [X0,X1] :
( ! [X2,X3] :
( ~ q1(X2)
| ( ( ( ( ~ r1(X1)
| ~ r1(X0) )
& r1(X3) )
| ~ p1(X2) )
& p1(f(X3)) ) )
& ! [X4] : q1(f(X4)) )
| ~ sP11 ),
inference(rectify,[],[f160]) ).
fof(f160,plain,
( ? [X131,X132] :
( ! [X134,X135] :
( ~ q1(X134)
| ( ( ( ( ~ r1(X132)
| ~ r1(X131) )
& r1(X135) )
| ~ p1(X134) )
& p1(f(X135)) ) )
& ! [X133] : q1(f(X133)) )
| ~ sP11 ),
inference(nnf_transformation,[],[f18]) ).
fof(f823,plain,
( ~ spl103_98
| spl103_95
| spl103_96 ),
inference(avatar_split_clause,[],[f296,f801,f798,f810]) ).
fof(f296,plain,
! [X2,X3] :
( ~ q1(X2)
| p1(f(X3))
| ~ sP11 ),
inference(cnf_transformation,[],[f163]) ).
fof(f822,plain,
( ~ spl103_98
| spl103_38
| spl103_94 ),
inference(avatar_split_clause,[],[f297,f793,f540,f810]) ).
fof(f297,plain,
! [X2,X3] :
( ~ q1(X2)
| r1(X3)
| ~ p1(X2)
| ~ sP11 ),
inference(cnf_transformation,[],[f163]) ).
fof(f821,plain,
( ~ spl103_98
| ~ spl103_99
| ~ spl103_100
| spl103_94 ),
inference(avatar_split_clause,[],[f298,f793,f818,f814,f810]) ).
fof(f298,plain,
! [X2] :
( ~ q1(X2)
| ~ r1(sK78)
| ~ r1(sK77)
| ~ p1(X2)
| ~ sP11 ),
inference(cnf_transformation,[],[f163]) ).
fof(f808,plain,
( ~ spl103_91
| spl103_97 ),
inference(avatar_split_clause,[],[f291,f805,f781]) ).
fof(f291,plain,
( q1(f(sK75))
| ~ sP12 ),
inference(cnf_transformation,[],[f159]) ).
fof(f159,plain,
( ( ! [X2,X3] :
( ~ q1(X2)
| ( ( ( ( ~ r1(sK76)
| ~ r1(sK75) )
& r1(X3) )
| ~ p1(X2) )
& p1(f(X3)) ) )
& q1(f(sK75)) )
| ~ sP12 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK75,sK76])],[f157,f158]) ).
fof(f158,plain,
( ? [X0,X1] :
( ! [X2,X3] :
( ~ q1(X2)
| ( ( ( ( ~ r1(X1)
| ~ r1(X0) )
& r1(X3) )
| ~ p1(X2) )
& p1(f(X3)) ) )
& q1(f(X0)) )
=> ( ! [X3,X2] :
( ~ q1(X2)
| ( ( ( ( ~ r1(sK76)
| ~ r1(sK75) )
& r1(X3) )
| ~ p1(X2) )
& p1(f(X3)) ) )
& q1(f(sK75)) ) ),
introduced(choice_axiom,[]) ).
fof(f157,plain,
( ? [X0,X1] :
( ! [X2,X3] :
( ~ q1(X2)
| ( ( ( ( ~ r1(X1)
| ~ r1(X0) )
& r1(X3) )
| ~ p1(X2) )
& p1(f(X3)) ) )
& q1(f(X0)) )
| ~ sP12 ),
inference(rectify,[],[f156]) ).
fof(f156,plain,
( ? [X127,X128] :
( ! [X129,X130] :
( ~ q1(X129)
| ( ( ( ( ~ r1(X128)
| ~ r1(X127) )
& r1(X130) )
| ~ p1(X129) )
& p1(f(X130)) ) )
& q1(f(X127)) )
| ~ sP12 ),
inference(nnf_transformation,[],[f19]) ).
fof(f803,plain,
( ~ spl103_91
| spl103_95
| spl103_96 ),
inference(avatar_split_clause,[],[f292,f801,f798,f781]) ).
fof(f292,plain,
! [X2,X3] :
( ~ q1(X2)
| p1(f(X3))
| ~ sP12 ),
inference(cnf_transformation,[],[f159]) ).
fof(f796,plain,
( ~ spl103_91
| spl103_38
| spl103_94 ),
inference(avatar_split_clause,[],[f293,f793,f540,f781]) ).
fof(f293,plain,
! [X2,X3] :
( ~ q1(X2)
| r1(X3)
| ~ p1(X2)
| ~ sP12 ),
inference(cnf_transformation,[],[f159]) ).
fof(f795,plain,
( ~ spl103_91
| ~ spl103_92
| ~ spl103_93
| spl103_94 ),
inference(avatar_split_clause,[],[f294,f793,f789,f785,f781]) ).
fof(f294,plain,
! [X2] :
( ~ q1(X2)
| ~ r1(sK76)
| ~ r1(sK75)
| ~ p1(X2)
| ~ sP12 ),
inference(cnf_transformation,[],[f159]) ).
fof(f779,plain,
( ~ spl103_86
| spl103_90 ),
inference(avatar_split_clause,[],[f287,f777,f759]) ).
fof(f287,plain,
! [X2] :
( c(X2)
| b(X2)
| ~ a1(X2)
| ~ sP13 ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
( ( ! [X0] :
( ~ c(X0)
| ~ a1(X0) )
& ~ b(sK74)
& a1(sK74)
& ! [X2] :
( c(X2)
| b(X2)
| ~ a1(X2) ) )
| ~ sP13 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK74])],[f153,f154]) ).
fof(f154,plain,
( ? [X1] :
( ~ b(X1)
& a1(X1) )
=> ( ~ b(sK74)
& a1(sK74) ) ),
introduced(choice_axiom,[]) ).
fof(f153,plain,
( ( ! [X0] :
( ~ c(X0)
| ~ a1(X0) )
& ? [X1] :
( ~ b(X1)
& a1(X1) )
& ! [X2] :
( c(X2)
| b(X2)
| ~ a1(X2) ) )
| ~ sP13 ),
inference(rectify,[],[f152]) ).
fof(f152,plain,
( ( ! [X126] :
( ~ c(X126)
| ~ a1(X126) )
& ? [X124] :
( ~ b(X124)
& a1(X124) )
& ! [X125] :
( c(X125)
| b(X125)
| ~ a1(X125) ) )
| ~ sP13 ),
inference(nnf_transformation,[],[f20]) ).
fof(f775,plain,
( ~ spl103_86
| spl103_89 ),
inference(avatar_split_clause,[],[f288,f772,f759]) ).
fof(f288,plain,
( a1(sK74)
| ~ sP13 ),
inference(cnf_transformation,[],[f155]) ).
fof(f770,plain,
( ~ spl103_86
| ~ spl103_88 ),
inference(avatar_split_clause,[],[f289,f767,f759]) ).
fof(f289,plain,
( ~ b(sK74)
| ~ sP13 ),
inference(cnf_transformation,[],[f155]) ).
fof(f765,plain,
( ~ spl103_86
| spl103_87 ),
inference(avatar_split_clause,[],[f290,f763,f759]) ).
fof(f290,plain,
! [X0] :
( ~ c(X0)
| ~ a1(X0)
| ~ sP13 ),
inference(cnf_transformation,[],[f155]) ).
fof(f757,plain,
( ~ spl103_83
| spl103_9 ),
inference(avatar_split_clause,[],[f283,f407,f744]) ).
fof(f283,plain,
! [X3] :
( p1(X3)
| ~ sP14 ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
( ( ! [X0] :
( ~ r1(X0)
& ~ p1(sK72(X0)) )
& q1(sK73)
& ! [X3] : p1(X3) )
| ~ sP14 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK72,sK73])],[f148,f150,f149]) ).
fof(f149,plain,
! [X0] :
( ? [X1] :
( ~ r1(X0)
& ~ p1(X1) )
=> ( ~ r1(X0)
& ~ p1(sK72(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f150,plain,
( ? [X2] : q1(X2)
=> q1(sK73) ),
introduced(choice_axiom,[]) ).
fof(f148,plain,
( ( ! [X0] :
? [X1] :
( ~ r1(X0)
& ~ p1(X1) )
& ? [X2] : q1(X2)
& ! [X3] : p1(X3) )
| ~ sP14 ),
inference(rectify,[],[f147]) ).
fof(f147,plain,
( ( ! [X105] :
? [X106] :
( ~ r1(X105)
& ~ p1(X106) )
& ? [X103] : q1(X103)
& ! [X104] : p1(X104) )
| ~ sP14 ),
inference(nnf_transformation,[],[f21]) ).
fof(f751,plain,
( ~ spl103_83
| spl103_84 ),
inference(avatar_split_clause,[],[f285,f749,f744]) ).
fof(f285,plain,
! [X0] :
( ~ p1(sK72(X0))
| ~ sP14 ),
inference(cnf_transformation,[],[f151]) ).
fof(f742,plain,
( ~ spl103_80
| spl103_9 ),
inference(avatar_split_clause,[],[f279,f407,f730]) ).
fof(f279,plain,
! [X2] :
( p1(X2)
| ~ sP15 ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
( ( ! [X0] :
( ~ r1(X0)
& ~ p1(sK70(X0)) )
& ! [X2] :
( q1(sK71(X2))
& p1(X2) ) )
| ~ sP15 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK70,sK71])],[f143,f145,f144]) ).
fof(f144,plain,
! [X0] :
( ? [X1] :
( ~ r1(X0)
& ~ p1(X1) )
=> ( ~ r1(X0)
& ~ p1(sK70(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f145,plain,
! [X2] :
( ? [X3] :
( q1(X3)
& p1(X2) )
=> ( q1(sK71(X2))
& p1(X2) ) ),
introduced(choice_axiom,[]) ).
fof(f143,plain,
( ( ! [X0] :
? [X1] :
( ~ r1(X0)
& ~ p1(X1) )
& ! [X2] :
? [X3] :
( q1(X3)
& p1(X2) ) )
| ~ sP15 ),
inference(rectify,[],[f142]) ).
fof(f142,plain,
( ( ! [X101] :
? [X102] :
( ~ r1(X101)
& ~ p1(X102) )
& ! [X99] :
? [X100] :
( q1(X100)
& p1(X99) ) )
| ~ sP15 ),
inference(nnf_transformation,[],[f22]) ).
fof(f737,plain,
( ~ spl103_80
| spl103_81 ),
inference(avatar_split_clause,[],[f281,f735,f730]) ).
fof(f281,plain,
! [X0] :
( ~ p1(sK70(X0))
| ~ sP15 ),
inference(cnf_transformation,[],[f146]) ).
fof(f728,plain,
( ~ spl103_76
| spl103_56 ),
inference(avatar_split_clause,[],[f275,f620,f711]) ).
fof(f275,plain,
! [X2] :
( q1(X2)
| ~ p1(X2)
| ~ sP16 ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
( ( ~ q1(sK69)
& ! [X1] :
( p1(X1)
| ~ r1(X1) )
& r1(sK69)
& ! [X2] :
( q1(X2)
| ~ p1(X2) ) )
| ~ sP16 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK69])],[f139,f140]) ).
fof(f140,plain,
( ? [X0] :
( ~ q1(X0)
& ! [X1] :
( p1(X1)
| ~ r1(X1) )
& r1(X0)
& ! [X2] :
( q1(X2)
| ~ p1(X2) ) )
=> ( ~ q1(sK69)
& ! [X1] :
( p1(X1)
| ~ r1(X1) )
& r1(sK69)
& ! [X2] :
( q1(X2)
| ~ p1(X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f139,plain,
( ? [X0] :
( ~ q1(X0)
& ! [X1] :
( p1(X1)
| ~ r1(X1) )
& r1(X0)
& ! [X2] :
( q1(X2)
| ~ p1(X2) ) )
| ~ sP16 ),
inference(rectify,[],[f138]) ).
fof(f138,plain,
( ? [X28] :
( ~ q1(X28)
& ! [X30] :
( p1(X30)
| ~ r1(X30) )
& r1(X28)
& ! [X29] :
( q1(X29)
| ~ p1(X29) ) )
| ~ sP16 ),
inference(nnf_transformation,[],[f23]) ).
fof(f727,plain,
( ~ spl103_76
| spl103_79 ),
inference(avatar_split_clause,[],[f276,f724,f711]) ).
fof(f276,plain,
( r1(sK69)
| ~ sP16 ),
inference(cnf_transformation,[],[f141]) ).
fof(f722,plain,
( ~ spl103_76
| spl103_78 ),
inference(avatar_split_clause,[],[f277,f720,f711]) ).
fof(f277,plain,
! [X1] :
( p1(X1)
| ~ r1(X1)
| ~ sP16 ),
inference(cnf_transformation,[],[f141]) ).
fof(f718,plain,
( ~ spl103_76
| ~ spl103_77 ),
inference(avatar_split_clause,[],[f278,f715,f711]) ).
fof(f278,plain,
( ~ q1(sK69)
| ~ sP16 ),
inference(cnf_transformation,[],[f141]) ).
fof(f709,plain,
( ~ spl103_75
| spl103_73
| spl103_74 ),
inference(avatar_split_clause,[],[f271,f695,f691,f703]) ).
fof(f691,plain,
( spl103_73
<=> a0 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_73])]) ).
fof(f271,plain,
( b0
| a0
| ~ sP17 ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
( ( ~ b0
& ~ a0
& ( ~ b0
| ~ a0 )
& ( b0
| a0 ) )
| ~ sP17 ),
inference(flattening,[],[f136]) ).
fof(f136,plain,
( ( ~ b0
& ~ a0
& ( ~ b0
| ~ a0 )
& ( b0
| a0 ) )
| ~ sP17 ),
inference(nnf_transformation,[],[f24]) ).
fof(f707,plain,
( ~ spl103_75
| ~ spl103_73 ),
inference(avatar_split_clause,[],[f273,f691,f703]) ).
fof(f273,plain,
( ~ a0
| ~ sP17 ),
inference(cnf_transformation,[],[f137]) ).
fof(f706,plain,
( ~ spl103_75
| ~ spl103_74 ),
inference(avatar_split_clause,[],[f274,f695,f703]) ).
fof(f274,plain,
( ~ b0
| ~ sP17 ),
inference(cnf_transformation,[],[f137]) ).
fof(f701,plain,
( ~ spl103_72
| spl103_73 ),
inference(avatar_split_clause,[],[f267,f691,f687]) ).
fof(f267,plain,
( a0
| ~ sP18 ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
( ( ( ~ b0
| ~ a0 )
& ( b0
| a0 )
& b0
& a0 )
| ~ sP18 ),
inference(flattening,[],[f134]) ).
fof(f134,plain,
( ( ( ~ b0
| ~ a0 )
& ( b0
| a0 )
& b0
& a0 )
| ~ sP18 ),
inference(nnf_transformation,[],[f25]) ).
fof(f700,plain,
( ~ spl103_72
| spl103_74 ),
inference(avatar_split_clause,[],[f268,f695,f687]) ).
fof(f268,plain,
( b0
| ~ sP18 ),
inference(cnf_transformation,[],[f135]) ).
fof(f698,plain,
( ~ spl103_72
| ~ spl103_73
| ~ spl103_74 ),
inference(avatar_split_clause,[],[f270,f695,f691,f687]) ).
fof(f270,plain,
( ~ b0
| ~ a0
| ~ sP18 ),
inference(cnf_transformation,[],[f135]) ).
fof(f685,plain,
( ~ spl103_65
| spl103_70
| spl103_71 ),
inference(avatar_split_clause,[],[f263,f683,f679,f659]) ).
fof(f263,plain,
! [X3] :
( p(f(X3),X3)
| r1(sK68)
| ~ sP19 ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
( ( ! [X1,X2] :
( ( ~ q(X1,X2)
& q(f(sK68),sK68) )
| ~ p(X1,X2) )
& ! [X3] :
( p(f(X3),X3)
| ( ~ r1(X3)
& r1(sK68) ) ) )
| ~ sP19 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK68])],[f131,f132]) ).
fof(f132,plain,
( ? [X0] :
( ! [X1,X2] :
( ( ~ q(X1,X2)
& q(f(X0),X0) )
| ~ p(X1,X2) )
& ! [X3] :
( p(f(X3),X3)
| ( ~ r1(X3)
& r1(X0) ) ) )
=> ( ! [X2,X1] :
( ( ~ q(X1,X2)
& q(f(sK68),sK68) )
| ~ p(X1,X2) )
& ! [X3] :
( p(f(X3),X3)
| ( ~ r1(X3)
& r1(sK68) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f131,plain,
( ? [X0] :
( ! [X1,X2] :
( ( ~ q(X1,X2)
& q(f(X0),X0) )
| ~ p(X1,X2) )
& ! [X3] :
( p(f(X3),X3)
| ( ~ r1(X3)
& r1(X0) ) ) )
| ~ sP19 ),
inference(rectify,[],[f130]) ).
fof(f130,plain,
( ? [X3] :
( ! [X5,X6] :
( ( ~ q(X5,X6)
& q(f(X3),X3) )
| ~ p(X5,X6) )
& ! [X4] :
( p(f(X4),X4)
| ( ~ r1(X4)
& r1(X3) ) ) )
| ~ sP19 ),
inference(nnf_transformation,[],[f26]) ).
fof(f677,plain,
( ~ spl103_65
| spl103_69 ),
inference(avatar_split_clause,[],[f264,f675,f659]) ).
fof(f264,plain,
! [X3] :
( p(f(X3),X3)
| ~ r1(X3)
| ~ sP19 ),
inference(cnf_transformation,[],[f133]) ).
fof(f673,plain,
( ~ spl103_65
| spl103_67
| spl103_68 ),
inference(avatar_split_clause,[],[f265,f670,f667,f659]) ).
fof(f265,plain,
! [X2,X1] :
( q(f(sK68),sK68)
| ~ p(X1,X2)
| ~ sP19 ),
inference(cnf_transformation,[],[f133]) ).
fof(f665,plain,
( ~ spl103_65
| spl103_66 ),
inference(avatar_split_clause,[],[f266,f663,f659]) ).
fof(f266,plain,
! [X2,X1] :
( ~ q(X1,X2)
| ~ p(X1,X2)
| ~ sP19 ),
inference(cnf_transformation,[],[f133]) ).
fof(f657,plain,
( ~ spl103_61
| spl103_56 ),
inference(avatar_split_clause,[],[f259,f620,f640]) ).
fof(f259,plain,
! [X2] :
( q1(X2)
| ~ p1(X2)
| ~ sP20 ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
( ( ! [X0] :
( ~ r1(X0)
& p1(X0) )
& ( r1(sK67)
| ~ q1(sK67) )
& ! [X2] :
( q1(X2)
| ~ p1(X2) ) )
| ~ sP20 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK67])],[f127,f128]) ).
fof(f128,plain,
( ? [X1] :
( r1(X1)
| ~ q1(X1) )
=> ( r1(sK67)
| ~ q1(sK67) ) ),
introduced(choice_axiom,[]) ).
fof(f127,plain,
( ( ! [X0] :
( ~ r1(X0)
& p1(X0) )
& ? [X1] :
( r1(X1)
| ~ q1(X1) )
& ! [X2] :
( q1(X2)
| ~ p1(X2) ) )
| ~ sP20 ),
inference(rectify,[],[f126]) ).
fof(f126,plain,
( ( ! [X2] :
( ~ r1(X2)
& p1(X2) )
& ? [X0] :
( r1(X0)
| ~ q1(X0) )
& ! [X1] :
( q1(X1)
| ~ p1(X1) ) )
| ~ sP20 ),
inference(nnf_transformation,[],[f27]) ).
fof(f656,plain,
( ~ spl103_61
| ~ spl103_63
| spl103_64 ),
inference(avatar_split_clause,[],[f260,f653,f649,f640]) ).
fof(f260,plain,
( r1(sK67)
| ~ q1(sK67)
| ~ sP20 ),
inference(cnf_transformation,[],[f129]) ).
fof(f647,plain,
( ~ spl103_61
| spl103_9 ),
inference(avatar_split_clause,[],[f261,f407,f640]) ).
fof(f261,plain,
! [X0] :
( p1(X0)
| ~ sP20 ),
inference(cnf_transformation,[],[f129]) ).
fof(f646,plain,
( ~ spl103_61
| spl103_62 ),
inference(avatar_split_clause,[],[f262,f644,f640]) ).
fof(f262,plain,
! [X0] :
( ~ r1(X0)
| ~ sP20 ),
inference(cnf_transformation,[],[f129]) ).
fof(f634,plain,
( ~ spl103_57
| spl103_59 ),
inference(avatar_split_clause,[],[f257,f632,f624]) ).
fof(f257,plain,
! [X1] :
( a(sK66(X1),sK66(X1))
| ~ sP21 ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
( ( ! [X0] : ~ a(X0,X0)
& ! [X1] :
( a(sK66(X1),sK66(X1))
& a(X1,sK66(X1)) ) )
| ~ sP21 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK66])],[f123,f124]) ).
fof(f124,plain,
! [X1] :
( ? [X2] :
( a(X2,X2)
& a(X1,X2) )
=> ( a(sK66(X1),sK66(X1))
& a(X1,sK66(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f123,plain,
( ( ! [X0] : ~ a(X0,X0)
& ! [X1] :
? [X2] :
( a(X2,X2)
& a(X1,X2) ) )
| ~ sP21 ),
inference(rectify,[],[f122]) ).
fof(f122,plain,
( ( ! [X98] : ~ a(X98,X98)
& ! [X96] :
? [X97] :
( a(X97,X97)
& a(X96,X97) ) )
| ~ sP21 ),
inference(nnf_transformation,[],[f28]) ).
fof(f630,plain,
( ~ spl103_57
| spl103_58 ),
inference(avatar_split_clause,[],[f258,f628,f624]) ).
fof(f258,plain,
! [X0] :
( ~ a(X0,X0)
| ~ sP21 ),
inference(cnf_transformation,[],[f125]) ).
fof(f622,plain,
( ~ spl103_54
| spl103_56 ),
inference(avatar_split_clause,[],[f253,f620,f610]) ).
fof(f253,plain,
! [X2] :
( q1(X2)
| ~ p1(X2)
| ~ sP22 ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
( ( ~ q1(sK65)
& ! [X1] : p1(X1)
& ! [X2] :
( q1(X2)
| ~ p1(X2) ) )
| ~ sP22 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK65])],[f119,f120]) ).
fof(f120,plain,
( ? [X0] : ~ q1(X0)
=> ~ q1(sK65) ),
introduced(choice_axiom,[]) ).
fof(f119,plain,
( ( ? [X0] : ~ q1(X0)
& ! [X1] : p1(X1)
& ! [X2] :
( q1(X2)
| ~ p1(X2) ) )
| ~ sP22 ),
inference(rectify,[],[f118]) ).
fof(f118,plain,
( ( ? [X79] : ~ q1(X79)
& ! [X78] : p1(X78)
& ! [X77] :
( q1(X77)
| ~ p1(X77) ) )
| ~ sP22 ),
inference(nnf_transformation,[],[f29]) ).
fof(f618,plain,
( ~ spl103_54
| spl103_9 ),
inference(avatar_split_clause,[],[f254,f407,f610]) ).
fof(f254,plain,
! [X1] :
( p1(X1)
| ~ sP22 ),
inference(cnf_transformation,[],[f121]) ).
fof(f617,plain,
( ~ spl103_54
| ~ spl103_55 ),
inference(avatar_split_clause,[],[f255,f614,f610]) ).
fof(f255,plain,
( ~ q1(sK65)
| ~ sP22 ),
inference(cnf_transformation,[],[f121]) ).
fof(f608,plain,
( ~ spl103_51
| spl103_53 ),
inference(avatar_split_clause,[],[f250,f606,f596]) ).
fof(f250,plain,
! [X2] :
( b(X2)
| ~ a1(X2)
| ~ sP23 ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
( ( ! [X0] : ~ b(X0)
& a1(sK64)
& ! [X2] :
( b(X2)
| ~ a1(X2) ) )
| ~ sP23 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK64])],[f115,f116]) ).
fof(f116,plain,
( ? [X1] : a1(X1)
=> a1(sK64) ),
introduced(choice_axiom,[]) ).
fof(f115,plain,
( ( ! [X0] : ~ b(X0)
& ? [X1] : a1(X1)
& ! [X2] :
( b(X2)
| ~ a1(X2) ) )
| ~ sP23 ),
inference(rectify,[],[f114]) ).
fof(f114,plain,
( ( ! [X72] : ~ b(X72)
& ? [X71] : a1(X71)
& ! [X70] :
( b(X70)
| ~ a1(X70) ) )
| ~ sP23 ),
inference(nnf_transformation,[],[f30]) ).
fof(f604,plain,
( ~ spl103_51
| spl103_52 ),
inference(avatar_split_clause,[],[f251,f601,f596]) ).
fof(f251,plain,
( a1(sK64)
| ~ sP23 ),
inference(cnf_transformation,[],[f117]) ).
fof(f599,plain,
( ~ spl103_51
| spl103_40 ),
inference(avatar_split_clause,[],[f252,f548,f596]) ).
fof(f252,plain,
! [X0] :
( ~ b(X0)
| ~ sP23 ),
inference(cnf_transformation,[],[f117]) ).
fof(f594,plain,
( ~ spl103_47
| ~ spl103_49
| spl103_50 ),
inference(avatar_split_clause,[],[f247,f591,f587,f578]) ).
fof(f247,plain,
( b(sK63)
| ~ a1(sK63)
| ~ sP24 ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
( ( ! [X0] : ~ b(X0)
& ! [X1] : a1(X1)
& ( b(sK63)
| ~ a1(sK63) ) )
| ~ sP24 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK63])],[f111,f112]) ).
fof(f112,plain,
( ? [X2] :
( b(X2)
| ~ a1(X2) )
=> ( b(sK63)
| ~ a1(sK63) ) ),
introduced(choice_axiom,[]) ).
fof(f111,plain,
( ( ! [X0] : ~ b(X0)
& ! [X1] : a1(X1)
& ? [X2] :
( b(X2)
| ~ a1(X2) ) )
| ~ sP24 ),
inference(rectify,[],[f110]) ).
fof(f110,plain,
( ( ! [X69] : ~ b(X69)
& ! [X68] : a1(X68)
& ? [X67] :
( b(X67)
| ~ a1(X67) ) )
| ~ sP24 ),
inference(nnf_transformation,[],[f31]) ).
fof(f585,plain,
( ~ spl103_47
| spl103_48 ),
inference(avatar_split_clause,[],[f248,f583,f578]) ).
fof(f248,plain,
! [X1] :
( a1(X1)
| ~ sP24 ),
inference(cnf_transformation,[],[f113]) ).
fof(f581,plain,
( ~ spl103_47
| spl103_40 ),
inference(avatar_split_clause,[],[f249,f548,f578]) ).
fof(f249,plain,
! [X0] :
( ~ b(X0)
| ~ sP24 ),
inference(cnf_transformation,[],[f113]) ).
fof(f576,plain,
( ~ spl103_43
| spl103_46 ),
inference(avatar_split_clause,[],[f244,f573,f561]) ).
fof(f244,plain,
( a1(sK62)
| ~ sP25 ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
( ( ! [X0] :
( ~ b(X0)
| ~ a1(X0) )
& ! [X1] : b(X1)
& a1(sK62) )
| ~ sP25 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK62])],[f107,f108]) ).
fof(f108,plain,
( ? [X2] : a1(X2)
=> a1(sK62) ),
introduced(choice_axiom,[]) ).
fof(f107,plain,
( ( ! [X0] :
( ~ b(X0)
| ~ a1(X0) )
& ! [X1] : b(X1)
& ? [X2] : a1(X2) )
| ~ sP25 ),
inference(rectify,[],[f106]) ).
fof(f106,plain,
( ( ! [X64] :
( ~ b(X64)
| ~ a1(X64) )
& ! [X62] : b(X62)
& ? [X63] : a1(X63) )
| ~ sP25 ),
inference(nnf_transformation,[],[f32]) ).
fof(f571,plain,
( ~ spl103_43
| spl103_45 ),
inference(avatar_split_clause,[],[f245,f569,f561]) ).
fof(f245,plain,
! [X1] :
( b(X1)
| ~ sP25 ),
inference(cnf_transformation,[],[f109]) ).
fof(f567,plain,
( ~ spl103_43
| spl103_44 ),
inference(avatar_split_clause,[],[f246,f565,f561]) ).
fof(f246,plain,
! [X0] :
( ~ b(X0)
| ~ a1(X0)
| ~ sP25 ),
inference(cnf_transformation,[],[f109]) ).
fof(f559,plain,
( ~ spl103_39
| spl103_42 ),
inference(avatar_split_clause,[],[f241,f556,f544]) ).
fof(f241,plain,
( b(sK61)
| ~ sP26 ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
( ( ! [X0] :
( ~ b(X0)
& ~ a1(X0) )
& b(sK61) )
| ~ sP26 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK61])],[f103,f104]) ).
fof(f104,plain,
( ? [X1] : b(X1)
=> b(sK61) ),
introduced(choice_axiom,[]) ).
fof(f103,plain,
( ( ! [X0] :
( ~ b(X0)
& ~ a1(X0) )
& ? [X1] : b(X1) )
| ~ sP26 ),
inference(rectify,[],[f102]) ).
fof(f102,plain,
( ( ! [X61] :
( ~ b(X61)
& ~ a1(X61) )
& ? [X60] : b(X60) )
| ~ sP26 ),
inference(nnf_transformation,[],[f33]) ).
fof(f550,plain,
( ~ spl103_39
| spl103_40 ),
inference(avatar_split_clause,[],[f243,f548,f544]) ).
fof(f243,plain,
! [X0] :
( ~ b(X0)
| ~ sP26 ),
inference(cnf_transformation,[],[f105]) ).
fof(f542,plain,
( ~ spl103_35
| spl103_5
| spl103_38 ),
inference(avatar_split_clause,[],[f238,f540,f390,f526]) ).
fof(f238,plain,
! [X2,X3] :
( r1(X3)
| ~ p1(X2)
| ~ sP27 ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
( ! [X2,X3] :
( ~ r1(sK60)
& p1(sK59)
& ( r1(X3)
| ~ p1(X2) ) )
| ~ sP27 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK59,sK60])],[f99,f100]) ).
fof(f100,plain,
( ? [X0,X1] :
! [X2,X3] :
( ~ r1(X1)
& p1(X0)
& ( r1(X3)
| ~ p1(X2) ) )
=> ! [X3,X2] :
( ~ r1(sK60)
& p1(sK59)
& ( r1(X3)
| ~ p1(X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
( ? [X0,X1] :
! [X2,X3] :
( ~ r1(X1)
& p1(X0)
& ( r1(X3)
| ~ p1(X2) ) )
| ~ sP27 ),
inference(rectify,[],[f98]) ).
fof(f98,plain,
( ? [X24,X25] :
! [X26,X27] :
( ~ r1(X25)
& p1(X24)
& ( r1(X27)
| ~ p1(X26) ) )
| ~ sP27 ),
inference(nnf_transformation,[],[f34]) ).
fof(f538,plain,
( ~ spl103_35
| spl103_37 ),
inference(avatar_split_clause,[],[f239,f535,f526]) ).
fof(f239,plain,
( p1(sK59)
| ~ sP27 ),
inference(cnf_transformation,[],[f101]) ).
fof(f533,plain,
( ~ spl103_35
| ~ spl103_36 ),
inference(avatar_split_clause,[],[f240,f530,f526]) ).
fof(f240,plain,
( ~ r1(sK60)
| ~ sP27 ),
inference(cnf_transformation,[],[f101]) ).
fof(f523,plain,
( ~ spl103_32
| spl103_34 ),
inference(avatar_split_clause,[],[f236,f521,f512]) ).
fof(f236,plain,
! [X1] :
( q1(X1)
| ~ sP28 ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
( ( ~ q1(sK58)
& ! [X1] :
( q1(X1)
& p1(X1) ) )
| ~ sP28 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK58])],[f95,f96]) ).
fof(f96,plain,
( ? [X0] :
( ~ q1(X0)
& ! [X1] :
( q1(X1)
& p1(X1) ) )
=> ( ~ q1(sK58)
& ! [X1] :
( q1(X1)
& p1(X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f95,plain,
( ? [X0] :
( ~ q1(X0)
& ! [X1] :
( q1(X1)
& p1(X1) ) )
| ~ sP28 ),
inference(rectify,[],[f94]) ).
fof(f94,plain,
( ? [X11] :
( ~ q1(X11)
& ! [X12] :
( q1(X12)
& p1(X12) ) )
| ~ sP28 ),
inference(nnf_transformation,[],[f35]) ).
fof(f519,plain,
( ~ spl103_32
| ~ spl103_33 ),
inference(avatar_split_clause,[],[f237,f516,f512]) ).
fof(f237,plain,
( ~ q1(sK58)
| ~ sP28 ),
inference(cnf_transformation,[],[f97]) ).
fof(f510,plain,
( ~ spl103_29
| spl103_9 ),
inference(avatar_split_clause,[],[f233,f407,f498]) ).
fof(f233,plain,
! [X2] :
( p1(X2)
| ~ sP29 ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
( ( ( ~ p1(sK57)
| ~ p1(sK56) )
& ! [X2] : p1(X2) )
| ~ sP29 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK56,sK57])],[f91,f92]) ).
fof(f92,plain,
( ? [X0,X1] :
( ~ p1(X1)
| ~ p1(X0) )
=> ( ~ p1(sK57)
| ~ p1(sK56) ) ),
introduced(choice_axiom,[]) ).
fof(f91,plain,
( ( ? [X0,X1] :
( ~ p1(X1)
| ~ p1(X0) )
& ! [X2] : p1(X2) )
| ~ sP29 ),
inference(rectify,[],[f90]) ).
fof(f90,plain,
( ( ? [X108,X109] :
( ~ p1(X109)
| ~ p1(X108) )
& ! [X107] : p1(X107) )
| ~ sP29 ),
inference(nnf_transformation,[],[f36]) ).
fof(f509,plain,
( ~ spl103_29
| ~ spl103_30
| ~ spl103_31 ),
inference(avatar_split_clause,[],[f234,f506,f502,f498]) ).
fof(f234,plain,
( ~ p1(sK57)
| ~ p1(sK56)
| ~ sP29 ),
inference(cnf_transformation,[],[f93]) ).
fof(f496,plain,
( ~ spl103_28
| spl103_9 ),
inference(avatar_split_clause,[],[f231,f407,f492]) ).
fof(f231,plain,
! [X1] :
( p1(X1)
| ~ sP30 ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
( ( ! [X0] : ~ p1(X0)
& ! [X1] : p1(X1) )
| ~ sP30 ),
inference(rectify,[],[f88]) ).
fof(f88,plain,
( ( ! [X81] : ~ p1(X81)
& ! [X80] : p1(X80) )
| ~ sP30 ),
inference(nnf_transformation,[],[f37]) ).
fof(f495,plain,
( ~ spl103_28
| spl103_5 ),
inference(avatar_split_clause,[],[f232,f390,f492]) ).
fof(f232,plain,
! [X0] :
( ~ p1(X0)
| ~ sP30 ),
inference(cnf_transformation,[],[f89]) ).
fof(f490,plain,
( ~ spl103_25
| spl103_27 ),
inference(avatar_split_clause,[],[f229,f488,f480]) ).
fof(f229,plain,
! [X1] :
( ~ a(X1,X1)
| ~ a(X1,sK55)
| ~ sP31 ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
( ! [X1] :
( ( a(X1,sK55)
| a(X1,X1) )
& ( ~ a(X1,X1)
| ~ a(X1,sK55) ) )
| ~ sP31 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK55])],[f85,f86]) ).
fof(f86,plain,
( ? [X0] :
! [X1] :
( ( a(X1,X0)
| a(X1,X1) )
& ( ~ a(X1,X1)
| ~ a(X1,X0) ) )
=> ! [X1] :
( ( a(X1,sK55)
| a(X1,X1) )
& ( ~ a(X1,X1)
| ~ a(X1,sK55) ) ) ),
introduced(choice_axiom,[]) ).
fof(f85,plain,
( ? [X0] :
! [X1] :
( ( a(X1,X0)
| a(X1,X1) )
& ( ~ a(X1,X1)
| ~ a(X1,X0) ) )
| ~ sP31 ),
inference(rectify,[],[f84]) ).
fof(f84,plain,
( ? [X65] :
! [X66] :
( ( a(X66,X65)
| a(X66,X66) )
& ( ~ a(X66,X66)
| ~ a(X66,X65) ) )
| ~ sP31 ),
inference(nnf_transformation,[],[f38]) ).
fof(f486,plain,
( ~ spl103_25
| spl103_26 ),
inference(avatar_split_clause,[],[f230,f484,f480]) ).
fof(f230,plain,
! [X1] :
( a(X1,sK55)
| a(X1,X1)
| ~ sP31 ),
inference(cnf_transformation,[],[f87]) ).
fof(f478,plain,
( ~ spl103_21
| spl103_23
| spl103_24 ),
inference(avatar_split_clause,[],[f227,f475,f471,f463]) ).
fof(f227,plain,
( a(sK52,sK51)
| a(sK53,sK54)
| ~ sP32 ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
( ( ( ! [X0,X1] : ~ a(X1,X0)
| ! [X2,X3] : ~ a(X2,X3) )
& ( a(sK52,sK51)
| a(sK53,sK54) ) )
| ~ sP32 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK51,sK52,sK53,sK54])],[f80,f82,f81]) ).
fof(f81,plain,
( ? [X4,X5] : a(X5,X4)
=> a(sK52,sK51) ),
introduced(choice_axiom,[]) ).
fof(f82,plain,
( ? [X6,X7] : a(X6,X7)
=> a(sK53,sK54) ),
introduced(choice_axiom,[]) ).
fof(f80,plain,
( ( ( ! [X0,X1] : ~ a(X1,X0)
| ! [X2,X3] : ~ a(X2,X3) )
& ( ? [X4,X5] : a(X5,X4)
| ? [X6,X7] : a(X6,X7) ) )
| ~ sP32 ),
inference(rectify,[],[f79]) ).
fof(f79,plain,
( ( ( ! [X58,X59] : ~ a(X59,X58)
| ! [X56,X57] : ~ a(X56,X57) )
& ( ? [X58,X59] : a(X59,X58)
| ? [X56,X57] : a(X56,X57) ) )
| ~ sP32 ),
inference(nnf_transformation,[],[f39]) ).
fof(f469,plain,
( ~ spl103_21
| spl103_22
| spl103_22 ),
inference(avatar_split_clause,[],[f228,f467,f467,f463]) ).
fof(f228,plain,
! [X2,X3,X0,X1] :
( ~ a(X1,X0)
| ~ a(X2,X3)
| ~ sP32 ),
inference(cnf_transformation,[],[f83]) ).
fof(f461,plain,
( ~ spl103_18
| spl103_9 ),
inference(avatar_split_clause,[],[f225,f407,f449]) ).
fof(f225,plain,
! [X2] :
( p1(X2)
| ~ sP33 ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
( ( ( ~ p1(sK50)
| ~ p1(sK49) )
& ! [X2] : p1(X2) )
| ~ sP33 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK49,sK50])],[f76,f77]) ).
fof(f77,plain,
( ? [X0,X1] :
( ( ~ p1(X1)
| ~ p1(X0) )
& ! [X2] : p1(X2) )
=> ( ( ~ p1(sK50)
| ~ p1(sK49) )
& ! [X2] : p1(X2) ) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
( ? [X0,X1] :
( ( ~ p1(X1)
| ~ p1(X0) )
& ! [X2] : p1(X2) )
| ~ sP33 ),
inference(rectify,[],[f75]) ).
fof(f75,plain,
( ? [X53,X54] :
( ( ~ p1(X54)
| ~ p1(X53) )
& ! [X55] : p1(X55) )
| ~ sP33 ),
inference(nnf_transformation,[],[f40]) ).
fof(f460,plain,
( ~ spl103_18
| ~ spl103_19
| ~ spl103_20 ),
inference(avatar_split_clause,[],[f226,f457,f453,f449]) ).
fof(f226,plain,
( ~ p1(sK50)
| ~ p1(sK49)
| ~ sP33 ),
inference(cnf_transformation,[],[f78]) ).
fof(f447,plain,
( ~ spl103_15
| spl103_9 ),
inference(avatar_split_clause,[],[f223,f407,f435]) ).
fof(f223,plain,
! [X2] :
( p1(X2)
| ~ sP34 ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
( ( ( ~ p1(sK47)
| ~ p1(sK48) )
& ! [X2] : p1(X2) )
| ~ sP34 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK47,sK48])],[f71,f73,f72]) ).
fof(f72,plain,
( ? [X0] : ~ p1(X0)
=> ~ p1(sK47) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
( ? [X1] : ~ p1(X1)
=> ~ p1(sK48) ),
introduced(choice_axiom,[]) ).
fof(f71,plain,
( ( ( ? [X0] : ~ p1(X0)
| ? [X1] : ~ p1(X1) )
& ! [X2] : p1(X2) )
| ~ sP34 ),
inference(rectify,[],[f70]) ).
fof(f70,plain,
( ( ( ? [X51] : ~ p1(X51)
| ? [X52] : ~ p1(X52) )
& ! [X50] : p1(X50) )
| ~ sP34 ),
inference(nnf_transformation,[],[f41]) ).
fof(f446,plain,
( ~ spl103_15
| ~ spl103_16
| ~ spl103_17 ),
inference(avatar_split_clause,[],[f224,f443,f439,f435]) ).
fof(f224,plain,
( ~ p1(sK47)
| ~ p1(sK48)
| ~ sP34 ),
inference(cnf_transformation,[],[f74]) ).
fof(f433,plain,
( ~ spl103_12
| spl103_13
| spl103_14 ),
inference(avatar_split_clause,[],[f221,f430,f426,f421]) ).
fof(f221,plain,
( p1(sK45)
| p1(sK46)
| ~ sP35 ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
( ( ( ! [X0] : ~ p1(X0)
| ! [X1] : ~ p1(X1) )
& ( p1(sK45)
| p1(sK46) ) )
| ~ sP35 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK45,sK46])],[f66,f68,f67]) ).
fof(f67,plain,
( ? [X2] : p1(X2)
=> p1(sK45) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
( ? [X3] : p1(X3)
=> p1(sK46) ),
introduced(choice_axiom,[]) ).
fof(f66,plain,
( ( ( ! [X0] : ~ p1(X0)
| ! [X1] : ~ p1(X1) )
& ( ? [X2] : p1(X2)
| ? [X3] : p1(X3) ) )
| ~ sP35 ),
inference(rectify,[],[f65]) ).
fof(f65,plain,
( ( ( ! [X49] : ~ p1(X49)
| ! [X48] : ~ p1(X48) )
& ( ? [X49] : p1(X49)
| ? [X48] : p1(X48) ) )
| ~ sP35 ),
inference(nnf_transformation,[],[f42]) ).
fof(f424,plain,
( ~ spl103_12
| spl103_5
| spl103_5 ),
inference(avatar_split_clause,[],[f222,f390,f390,f421]) ).
fof(f222,plain,
! [X0,X1] :
( ~ p1(X0)
| ~ p1(X1)
| ~ sP35 ),
inference(cnf_transformation,[],[f69]) ).
fof(f419,plain,
( ~ spl103_10
| spl103_11 ),
inference(avatar_split_clause,[],[f219,f416,f411]) ).
fof(f219,plain,
( p1(sK44)
| ~ sP36 ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
( ( ! [X0] : ~ p1(X0)
& p1(sK44) )
| ~ sP36 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK44])],[f62,f63]) ).
fof(f63,plain,
( ? [X1] : p1(X1)
=> p1(sK44) ),
introduced(choice_axiom,[]) ).
fof(f62,plain,
( ( ! [X0] : ~ p1(X0)
& ? [X1] : p1(X1) )
| ~ sP36 ),
inference(rectify,[],[f61]) ).
fof(f61,plain,
( ( ! [X47] : ~ p1(X47)
& ? [X46] : p1(X46) )
| ~ sP36 ),
inference(nnf_transformation,[],[f43]) ).
fof(f414,plain,
( ~ spl103_10
| spl103_5 ),
inference(avatar_split_clause,[],[f220,f390,f411]) ).
fof(f220,plain,
! [X0] :
( ~ p1(X0)
| ~ sP36 ),
inference(cnf_transformation,[],[f64]) ).
fof(f409,plain,
( ~ spl103_7
| spl103_9 ),
inference(avatar_split_clause,[],[f217,f407,f399]) ).
fof(f217,plain,
! [X0] :
( p1(X0)
| ~ sP37 ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
( ! [X0] :
( ~ p1(sK43(X0))
& p1(X0) )
| ~ sP37 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK43])],[f58,f59]) ).
fof(f59,plain,
! [X0] :
( ? [X1] :
( ~ p1(X1)
& p1(X0) )
=> ( ~ p1(sK43(X0))
& p1(X0) ) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
( ! [X0] :
? [X1] :
( ~ p1(X1)
& p1(X0) )
| ~ sP37 ),
inference(rectify,[],[f57]) ).
fof(f57,plain,
( ! [X31] :
? [X32] :
( ~ p1(X32)
& p1(X31) )
| ~ sP37 ),
inference(nnf_transformation,[],[f44]) ).
fof(f405,plain,
( ~ spl103_7
| spl103_8 ),
inference(avatar_split_clause,[],[f218,f403,f399]) ).
fof(f218,plain,
! [X0] :
( ~ p1(sK43(X0))
| ~ sP37 ),
inference(cnf_transformation,[],[f60]) ).
fof(f397,plain,
( ~ spl103_4
| spl103_6 ),
inference(avatar_split_clause,[],[f215,f394,f386]) ).
fof(f215,plain,
( p1(sK42)
| ~ sP38 ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
( ! [X0] :
( ~ p1(X0)
& p1(sK42) )
| ~ sP38 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK42])],[f54,f55]) ).
fof(f55,plain,
( ? [X1] : p1(X1)
=> p1(sK42) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
( ! [X0] :
( ~ p1(X0)
& ? [X1] : p1(X1) )
| ~ sP38 ),
inference(rectify,[],[f53]) ).
fof(f53,plain,
( ! [X22] :
( ~ p1(X22)
& ? [X23] : p1(X23) )
| ~ sP38 ),
inference(nnf_transformation,[],[f45]) ).
fof(f392,plain,
( ~ spl103_4
| spl103_5 ),
inference(avatar_split_clause,[],[f216,f390,f386]) ).
fof(f216,plain,
! [X0] :
( ~ p1(X0)
| ~ sP38 ),
inference(cnf_transformation,[],[f56]) ).
fof(f384,plain,
( ~ spl103_1
| spl103_3 ),
inference(avatar_split_clause,[],[f213,f382,f374]) ).
fof(f213,plain,
! [X3] :
( p(sK41,X3)
| ~ sP39 ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( ( ! [X1] : ~ p(X1,sK40)
& ! [X3] : p(sK41,X3) )
| ~ sP39 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK40,sK41])],[f49,f51,f50]) ).
fof(f50,plain,
( ? [X0] :
! [X1] : ~ p(X1,X0)
=> ! [X1] : ~ p(X1,sK40) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
( ? [X2] :
! [X3] : p(X2,X3)
=> ! [X3] : p(sK41,X3) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
( ( ? [X0] :
! [X1] : ~ p(X1,X0)
& ? [X2] :
! [X3] : p(X2,X3) )
| ~ sP39 ),
inference(rectify,[],[f48]) ).
fof(f48,plain,
( ( ? [X20] :
! [X21] : ~ p(X21,X20)
& ? [X18] :
! [X19] : p(X18,X19) )
| ~ sP39 ),
inference(nnf_transformation,[],[f46]) ).
fof(f380,plain,
( ~ spl103_1
| spl103_2 ),
inference(avatar_split_clause,[],[f214,f378,f374]) ).
fof(f214,plain,
! [X1] :
( ~ p(X1,sK40)
| ~ sP39 ),
inference(cnf_transformation,[],[f52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SYN938+1 : TPTP v8.1.2. Released v3.1.0.
% 0.03/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.36 % Computer : n009.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 17:23:23 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.14/0.37 This is a FOF_THM_RFO_NEQ problem
% 0.14/0.37 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.bhh5pSal71/Vampire---4.8_1474
% 0.60/0.76 % (1919)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.60/0.76 % (1912)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.60/0.76 % (1913)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.60/0.76 % (1915)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.60/0.76 % (1916)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.60/0.76 % (1914)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.60/0.76 % (1917)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.60/0.76 % (1918)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.60/0.76 % (1919)Refutation not found, incomplete strategy% (1919)------------------------------
% 0.60/0.76 % (1919)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (1919)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (1919)Memory used [KB]: 1353
% 0.60/0.76 % (1919)Time elapsed: 0.006 s
% 0.60/0.76 % (1919)Instructions burned: 16 (million)
% 0.60/0.76 % (1919)------------------------------
% 0.60/0.76 % (1919)------------------------------
% 0.60/0.76 % (1922)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.60/0.76 % (1917)Refutation not found, incomplete strategy% (1917)------------------------------
% 0.60/0.76 % (1917)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (1917)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (1917)Memory used [KB]: 1333
% 0.60/0.76 % (1917)Time elapsed: 0.009 s
% 0.60/0.76 % (1917)Instructions burned: 16 (million)
% 0.60/0.76 % (1916)Refutation not found, incomplete strategy% (1916)------------------------------
% 0.60/0.76 % (1916)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (1916)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (1916)Memory used [KB]: 1385
% 0.60/0.76 % (1916)Time elapsed: 0.009 s
% 0.60/0.76 % (1916)Instructions burned: 16 (million)
% 0.60/0.77 % (1916)------------------------------
% 0.60/0.77 % (1916)------------------------------
% 0.60/0.77 % (1917)------------------------------
% 0.60/0.77 % (1917)------------------------------
% 0.60/0.77 % (1912)Refutation not found, incomplete strategy% (1912)------------------------------
% 0.60/0.77 % (1912)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (1912)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77
% 0.60/0.77 % (1912)Memory used [KB]: 1581
% 0.60/0.77 % (1912)Time elapsed: 0.012 s
% 0.60/0.77 % (1912)Instructions burned: 19 (million)
% 0.60/0.77 % (1912)------------------------------
% 0.60/0.77 % (1912)------------------------------
% 0.60/0.77 % (1925)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.60/0.77 % (1926)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.60/0.77 % (1929)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.60/0.78 % (1914)First to succeed.
% 0.60/0.78 % (1913)Also succeeded, but the first one will report.
% 0.60/0.78 % (1915)Instruction limit reached!
% 0.60/0.78 % (1915)------------------------------
% 0.60/0.78 % (1915)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78 % (1915)Termination reason: Unknown
% 0.60/0.78 % (1915)Termination phase: Saturation
% 0.60/0.78
% 0.60/0.78 % (1915)Memory used [KB]: 2066
% 0.60/0.78 % (1915)Time elapsed: 0.022 s
% 0.60/0.78 % (1915)Instructions burned: 33 (million)
% 0.60/0.78 % (1915)------------------------------
% 0.60/0.78 % (1915)------------------------------
% 0.60/0.78 % (1936)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.60/0.78 % (1937)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.60/0.79 % (1918)Also succeeded, but the first one will report.
% 0.60/0.79 % (1936)Refutation not found, incomplete strategy% (1936)------------------------------
% 0.60/0.79 % (1936)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (1936)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79
% 0.60/0.79 % (1936)Memory used [KB]: 1385
% 0.60/0.79 % (1936)Time elapsed: 0.010 s
% 0.60/0.79 % (1936)Instructions burned: 16 (million)
% 0.60/0.79 % (1914)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1757"
% 0.60/0.79 % (1925)Instruction limit reached!
% 0.60/0.79 % (1925)------------------------------
% 0.60/0.79 % (1925)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (1925)Termination reason: Unknown
% 0.60/0.79 % (1936)------------------------------
% 0.60/0.79 % (1936)------------------------------
% 0.60/0.79 % (1925)Termination phase: Saturation
% 0.60/0.79
% 0.60/0.79 % (1925)Memory used [KB]: 1602
% 0.60/0.79 % (1925)Time elapsed: 0.022 s
% 0.60/0.79 % (1925)Instructions burned: 51 (million)
% 0.60/0.79 % (1925)------------------------------
% 0.60/0.79 % (1925)------------------------------
% 0.60/0.79 % (1926)Also succeeded, but the first one will report.
% 0.60/0.79 % (1914)Refutation found. Thanks to Tanya!
% 0.60/0.79 % SZS status Theorem for Vampire---4
% 0.60/0.79 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.80 % (1914)------------------------------
% 0.60/0.80 % (1914)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80 % (1914)Termination reason: Refutation
% 0.60/0.80
% 0.60/0.80 % (1914)Memory used [KB]: 1744
% 0.60/0.80 % (1914)Time elapsed: 0.034 s
% 0.60/0.80 % (1914)Instructions burned: 59 (million)
% 0.60/0.80 % (1757)Success in time 0.413 s
% 0.60/0.80 % Vampire---4.8 exiting
%------------------------------------------------------------------------------