TSTP Solution File: SYN489-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYN489-1 : TPTP v8.1.0. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 19:38:28 EDT 2022
% Result : Unsatisfiable 1.62s 0.58s
% Output : Refutation 1.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 301
% Syntax : Number of formulae : 701 ( 1 unt; 0 def)
% Number of atoms : 2263 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 2711 (1149 ~;1371 |; 0 &)
% ( 191 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 222 ( 221 usr; 218 prp; 0-1 aty)
% Number of functors : 25 ( 25 usr; 25 con; 0-0 aty)
% Number of variables : 208 ( 208 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2767,plain,
$false,
inference(avatar_sat_refutation,[],[f318,f326,f368,f417,f425,f433,f447,f461,f466,f474,f515,f546,f565,f570,f582,f603,f612,f630,f651,f655,f660,f665,f675,f684,f719,f724,f736,f741,f751,f759,f768,f777,f778,f783,f792,f797,f798,f803,f811,f812,f817,f829,f834,f839,f844,f849,f854,f862,f870,f875,f881,f895,f900,f915,f920,f924,f929,f939,f944,f949,f954,f959,f960,f962,f979,f984,f989,f994,f1010,f1015,f1031,f1033,f1038,f1044,f1049,f1063,f1068,f1076,f1082,f1087,f1089,f1094,f1110,f1115,f1121,f1126,f1136,f1141,f1147,f1153,f1165,f1170,f1177,f1187,f1193,f1199,f1204,f1210,f1212,f1217,f1220,f1230,f1231,f1238,f1248,f1254,f1259,f1264,f1269,f1270,f1281,f1282,f1289,f1299,f1305,f1306,f1316,f1322,f1323,f1329,f1335,f1336,f1341,f1346,f1351,f1357,f1362,f1367,f1374,f1375,f1377,f1387,f1388,f1389,f1390,f1391,f1402,f1403,f1467,f1484,f1498,f1511,f1586,f1596,f1610,f1611,f1612,f1653,f1678,f1679,f1687,f1689,f1690,f1719,f1720,f1725,f1762,f1763,f1764,f1783,f1794,f1814,f1860,f1861,f1862,f1880,f1881,f1882,f1883,f1884,f1973,f1977,f1982,f2015,f2045,f2047,f2048,f2052,f2075,f2087,f2152,f2153,f2159,f2162,f2241,f2256,f2257,f2264,f2355,f2357,f2371,f2382,f2412,f2414,f2473,f2474,f2544,f2610,f2717,f2754,f2760,f2761,f2763,f2766]) ).
fof(f2766,plain,
( ~ spl53_217
| ~ spl53_144
| ~ spl53_80
| ~ spl53_148 ),
inference(avatar_split_clause,[],[f2765,f1002,f662,f981,f1415]) ).
fof(f1415,plain,
( spl53_217
<=> c1_1(a2601) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_217])]) ).
fof(f981,plain,
( spl53_144
<=> c0_1(a2601) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_144])]) ).
fof(f662,plain,
( spl53_80
<=> c3_1(a2601) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_80])]) ).
fof(f1002,plain,
( spl53_148
<=> ! [X0] :
( ~ c1_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_148])]) ).
fof(f2765,plain,
( ~ c0_1(a2601)
| ~ c1_1(a2601)
| ~ spl53_80
| ~ spl53_148 ),
inference(resolution,[],[f664,f1003]) ).
fof(f1003,plain,
( ! [X0] :
( ~ c3_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) )
| ~ spl53_148 ),
inference(avatar_component_clause,[],[f1002]) ).
fof(f664,plain,
( c3_1(a2601)
| ~ spl53_80 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f2763,plain,
( ~ spl53_178
| ~ spl53_115
| ~ spl53_148
| ~ spl53_222 ),
inference(avatar_split_clause,[],[f2633,f1518,f1002,f831,f1167]) ).
fof(f1167,plain,
( spl53_178
<=> c1_1(a2551) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_178])]) ).
fof(f831,plain,
( spl53_115
<=> c0_1(a2551) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_115])]) ).
fof(f1518,plain,
( spl53_222
<=> c3_1(a2551) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_222])]) ).
fof(f2633,plain,
( ~ c0_1(a2551)
| ~ c1_1(a2551)
| ~ spl53_148
| ~ spl53_222 ),
inference(resolution,[],[f1003,f1520]) ).
fof(f1520,plain,
( c3_1(a2551)
| ~ spl53_222 ),
inference(avatar_component_clause,[],[f1518]) ).
fof(f2761,plain,
( ~ spl53_154
| spl53_114
| ~ spl53_128
| ~ spl53_162 ),
inference(avatar_split_clause,[],[f2746,f1079,f897,f826,f1035]) ).
fof(f1035,plain,
( spl53_154
<=> c1_1(a2531) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_154])]) ).
fof(f826,plain,
( spl53_114
<=> c3_1(a2531) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_114])]) ).
fof(f897,plain,
( spl53_128
<=> c2_1(a2531) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_128])]) ).
fof(f1079,plain,
( spl53_162
<=> ! [X0] :
( ~ c1_1(X0)
| c3_1(X0)
| ~ c2_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_162])]) ).
fof(f2746,plain,
( c3_1(a2531)
| ~ c1_1(a2531)
| ~ spl53_128
| ~ spl53_162 ),
inference(resolution,[],[f1080,f899]) ).
fof(f899,plain,
( c2_1(a2531)
| ~ spl53_128 ),
inference(avatar_component_clause,[],[f897]) ).
fof(f1080,plain,
( ! [X0] :
( ~ c2_1(X0)
| ~ c1_1(X0)
| c3_1(X0) )
| ~ spl53_162 ),
inference(avatar_component_clause,[],[f1079]) ).
fof(f2760,plain,
( spl53_121
| ~ spl53_10
| ~ spl53_162 ),
inference(avatar_split_clause,[],[f2751,f1079,f348,f860]) ).
fof(f860,plain,
( spl53_121
<=> ! [X0] :
( c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_121])]) ).
fof(f348,plain,
( spl53_10
<=> ! [X0] :
( c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_10])]) ).
fof(f2751,plain,
( ! [X2] :
( c3_1(X2)
| ~ c0_1(X2)
| ~ c1_1(X2) )
| ~ spl53_10
| ~ spl53_162 ),
inference(duplicate_literal_removal,[],[f2736]) ).
fof(f2736,plain,
( ! [X2] :
( ~ c1_1(X2)
| c3_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X2) )
| ~ spl53_10
| ~ spl53_162 ),
inference(resolution,[],[f1080,f349]) ).
fof(f349,plain,
( ! [X0] :
( c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) )
| ~ spl53_10 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f2754,plain,
( ~ spl53_108
| spl53_221
| ~ spl53_103
| ~ spl53_162 ),
inference(avatar_split_clause,[],[f2739,f1079,f770,f1481,f794]) ).
fof(f794,plain,
( spl53_108
<=> c1_1(a2558) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_108])]) ).
fof(f1481,plain,
( spl53_221
<=> c3_1(a2558) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_221])]) ).
fof(f770,plain,
( spl53_103
<=> c2_1(a2558) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_103])]) ).
fof(f2739,plain,
( c3_1(a2558)
| ~ c1_1(a2558)
| ~ spl53_103
| ~ spl53_162 ),
inference(resolution,[],[f1080,f772]) ).
fof(f772,plain,
( c2_1(a2558)
| ~ spl53_103 ),
inference(avatar_component_clause,[],[f770]) ).
fof(f2717,plain,
( ~ spl53_167
| ~ spl53_224
| ~ spl53_157
| spl53_203 ),
inference(avatar_split_clause,[],[f2711,f1319,f1051,f1593,f1107]) ).
fof(f1107,plain,
( spl53_167
<=> c1_1(a2534) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_167])]) ).
fof(f1593,plain,
( spl53_224
<=> c3_1(a2534) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_224])]) ).
fof(f1051,plain,
( spl53_157
<=> ! [X1] :
( ~ c1_1(X1)
| c2_1(X1)
| ~ c3_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_157])]) ).
fof(f1319,plain,
( spl53_203
<=> c2_1(a2534) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_203])]) ).
fof(f2711,plain,
( ~ c3_1(a2534)
| ~ c1_1(a2534)
| ~ spl53_157
| spl53_203 ),
inference(resolution,[],[f1052,f1321]) ).
fof(f1321,plain,
( ~ c2_1(a2534)
| spl53_203 ),
inference(avatar_component_clause,[],[f1319]) ).
fof(f1052,plain,
( ! [X1] :
( c2_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1) )
| ~ spl53_157 ),
inference(avatar_component_clause,[],[f1051]) ).
fof(f2610,plain,
( spl53_204
| ~ spl53_132
| ~ spl53_141
| ~ spl53_174 ),
inference(avatar_split_clause,[],[f2602,f1144,f966,f917,f1326]) ).
fof(f1326,plain,
( spl53_204
<=> c1_1(a2521) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_204])]) ).
fof(f917,plain,
( spl53_132
<=> c3_1(a2521) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_132])]) ).
fof(f966,plain,
( spl53_141
<=> ! [X0] :
( c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_141])]) ).
fof(f1144,plain,
( spl53_174
<=> c2_1(a2521) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_174])]) ).
fof(f2602,plain,
( ~ c3_1(a2521)
| c1_1(a2521)
| ~ spl53_141
| ~ spl53_174 ),
inference(resolution,[],[f967,f1146]) ).
fof(f1146,plain,
( c2_1(a2521)
| ~ spl53_174 ),
inference(avatar_component_clause,[],[f1144]) ).
fof(f967,plain,
( ! [X0] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| c1_1(X0) )
| ~ spl53_141 ),
inference(avatar_component_clause,[],[f966]) ).
fof(f2544,plain,
( ~ spl53_206
| ~ spl53_207
| ~ spl53_40
| ~ spl53_211 ),
inference(avatar_split_clause,[],[f2531,f1364,f480,f1343,f1338]) ).
fof(f1338,plain,
( spl53_206
<=> c3_1(a2556) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_206])]) ).
fof(f1343,plain,
( spl53_207
<=> c1_1(a2556) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_207])]) ).
fof(f480,plain,
( spl53_40
<=> ! [X0] :
( ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_40])]) ).
fof(f1364,plain,
( spl53_211
<=> c2_1(a2556) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_211])]) ).
fof(f2531,plain,
( ~ c1_1(a2556)
| ~ c3_1(a2556)
| ~ spl53_40
| ~ spl53_211 ),
inference(resolution,[],[f481,f1366]) ).
fof(f1366,plain,
( c2_1(a2556)
| ~ spl53_211 ),
inference(avatar_component_clause,[],[f1364]) ).
fof(f481,plain,
( ! [X0] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) )
| ~ spl53_40 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f2474,plain,
( ~ spl53_105
| ~ spl53_225
| ~ spl53_100
| ~ spl53_118 ),
inference(avatar_split_clause,[],[f2469,f846,f757,f1684,f780]) ).
fof(f780,plain,
( spl53_105
<=> c0_1(a2525) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_105])]) ).
fof(f1684,plain,
( spl53_225
<=> c1_1(a2525) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_225])]) ).
fof(f757,plain,
( spl53_100
<=> ! [X1] :
( ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_100])]) ).
fof(f846,plain,
( spl53_118
<=> c2_1(a2525) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_118])]) ).
fof(f2469,plain,
( ~ c1_1(a2525)
| ~ c0_1(a2525)
| ~ spl53_100
| ~ spl53_118 ),
inference(resolution,[],[f758,f848]) ).
fof(f848,plain,
( c2_1(a2525)
| ~ spl53_118 ),
inference(avatar_component_clause,[],[f846]) ).
fof(f758,plain,
( ! [X1] :
( ~ c2_1(X1)
| ~ c0_1(X1)
| ~ c1_1(X1) )
| ~ spl53_100 ),
inference(avatar_component_clause,[],[f757]) ).
fof(f2473,plain,
( spl53_121
| ~ spl53_94
| ~ spl53_100 ),
inference(avatar_split_clause,[],[f2472,f757,f730,f860]) ).
fof(f730,plain,
( spl53_94
<=> ! [X0] :
( ~ c1_1(X0)
| c2_1(X0)
| c3_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_94])]) ).
fof(f2472,plain,
( ! [X1] :
( c3_1(X1)
| ~ c0_1(X1)
| ~ c1_1(X1) )
| ~ spl53_94
| ~ spl53_100 ),
inference(duplicate_literal_removal,[],[f2461]) ).
fof(f2461,plain,
( ! [X1] :
( ~ c1_1(X1)
| ~ c1_1(X1)
| c3_1(X1)
| ~ c0_1(X1) )
| ~ spl53_94
| ~ spl53_100 ),
inference(resolution,[],[f758,f731]) ).
fof(f731,plain,
( ! [X0] :
( c2_1(X0)
| c3_1(X0)
| ~ c1_1(X0) )
| ~ spl53_94 ),
inference(avatar_component_clause,[],[f730]) ).
fof(f2414,plain,
( spl53_31
| ~ spl53_233
| ~ spl53_94
| spl53_193 ),
inference(avatar_split_clause,[],[f2406,f1256,f730,f1811,f440]) ).
fof(f440,plain,
( spl53_31
<=> c3_1(a2540) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_31])]) ).
fof(f1811,plain,
( spl53_233
<=> c1_1(a2540) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_233])]) ).
fof(f1256,plain,
( spl53_193
<=> c2_1(a2540) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_193])]) ).
fof(f2406,plain,
( ~ c1_1(a2540)
| c3_1(a2540)
| ~ spl53_94
| spl53_193 ),
inference(resolution,[],[f731,f1258]) ).
fof(f1258,plain,
( ~ c2_1(a2540)
| spl53_193 ),
inference(avatar_component_clause,[],[f1256]) ).
fof(f2412,plain,
( spl53_222
| ~ spl53_178
| spl53_25
| ~ spl53_94 ),
inference(avatar_split_clause,[],[f2404,f730,f414,f1167,f1518]) ).
fof(f414,plain,
( spl53_25
<=> c2_1(a2551) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_25])]) ).
fof(f2404,plain,
( ~ c1_1(a2551)
| c3_1(a2551)
| spl53_25
| ~ spl53_94 ),
inference(resolution,[],[f731,f416]) ).
fof(f416,plain,
( ~ c2_1(a2551)
| spl53_25 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f2382,plain,
( spl53_204
| spl53_237
| ~ spl53_61
| ~ spl53_132 ),
inference(avatar_split_clause,[],[f2381,f917,f576,f2149,f1326]) ).
fof(f2149,plain,
( spl53_237
<=> c0_1(a2521) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_237])]) ).
fof(f576,plain,
( spl53_61
<=> ! [X1] :
( c1_1(X1)
| ~ c3_1(X1)
| c0_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_61])]) ).
fof(f2381,plain,
( c0_1(a2521)
| c1_1(a2521)
| ~ spl53_61
| ~ spl53_132 ),
inference(resolution,[],[f577,f919]) ).
fof(f919,plain,
( c3_1(a2521)
| ~ spl53_132 ),
inference(avatar_component_clause,[],[f917]) ).
fof(f577,plain,
( ! [X1] :
( ~ c3_1(X1)
| c1_1(X1)
| c0_1(X1) )
| ~ spl53_61 ),
inference(avatar_component_clause,[],[f576]) ).
fof(f2371,plain,
( ~ spl53_47
| spl53_233
| ~ spl53_4
| spl53_193 ),
inference(avatar_split_clause,[],[f2363,f1256,f324,f1811,f512]) ).
fof(f512,plain,
( spl53_47
<=> c0_1(a2540) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_47])]) ).
fof(f324,plain,
( spl53_4
<=> ! [X0] :
( c1_1(X0)
| c2_1(X0)
| ~ c0_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_4])]) ).
fof(f2363,plain,
( c1_1(a2540)
| ~ c0_1(a2540)
| ~ spl53_4
| spl53_193 ),
inference(resolution,[],[f325,f1258]) ).
fof(f325,plain,
( ! [X0] :
( c2_1(X0)
| ~ c0_1(X0)
| c1_1(X0) )
| ~ spl53_4 ),
inference(avatar_component_clause,[],[f324]) ).
fof(f2357,plain,
( spl53_76
| ~ spl53_2
| ~ spl53_27 ),
inference(avatar_split_clause,[],[f2352,f423,f316,f644]) ).
fof(f644,plain,
( spl53_76
<=> ! [X0] :
( ~ c0_1(X0)
| c3_1(X0)
| c1_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_76])]) ).
fof(f316,plain,
( spl53_2
<=> ! [X0] :
( c3_1(X0)
| c2_1(X0)
| ~ c0_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_2])]) ).
fof(f423,plain,
( spl53_27
<=> ! [X0] :
( c1_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_27])]) ).
fof(f2352,plain,
( ! [X1] :
( c3_1(X1)
| ~ c0_1(X1)
| c1_1(X1) )
| ~ spl53_2
| ~ spl53_27 ),
inference(duplicate_literal_removal,[],[f2338]) ).
fof(f2338,plain,
( ! [X1] :
( ~ c0_1(X1)
| ~ c0_1(X1)
| c3_1(X1)
| c1_1(X1) )
| ~ spl53_2
| ~ spl53_27 ),
inference(resolution,[],[f424,f317]) ).
fof(f317,plain,
( ! [X0] :
( c2_1(X0)
| c3_1(X0)
| ~ c0_1(X0) )
| ~ spl53_2 ),
inference(avatar_component_clause,[],[f316]) ).
fof(f424,plain,
( ! [X0] :
( ~ c2_1(X0)
| ~ c0_1(X0)
| c1_1(X0) )
| ~ spl53_27 ),
inference(avatar_component_clause,[],[f423]) ).
fof(f2355,plain,
( spl53_225
| ~ spl53_105
| ~ spl53_27
| ~ spl53_118 ),
inference(avatar_split_clause,[],[f2348,f846,f423,f780,f1684]) ).
fof(f2348,plain,
( ~ c0_1(a2525)
| c1_1(a2525)
| ~ spl53_27
| ~ spl53_118 ),
inference(resolution,[],[f424,f848]) ).
fof(f2264,plain,
( spl53_116
| ~ spl53_37
| ~ spl53_111 ),
inference(avatar_split_clause,[],[f2179,f809,f468,f837]) ).
fof(f837,plain,
( spl53_116
<=> ! [X0] :
( ~ c3_1(X0)
| c0_1(X0)
| ~ c1_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_116])]) ).
fof(f468,plain,
( spl53_37
<=> ! [X2] :
( c0_1(X2)
| ~ c3_1(X2)
| c2_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_37])]) ).
fof(f809,plain,
( spl53_111
<=> ! [X1] :
( c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_111])]) ).
fof(f2179,plain,
( ! [X1] :
( ~ c1_1(X1)
| c0_1(X1)
| ~ c3_1(X1) )
| ~ spl53_37
| ~ spl53_111 ),
inference(duplicate_literal_removal,[],[f2164]) ).
fof(f2164,plain,
( ! [X1] :
( c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1)
| c0_1(X1) )
| ~ spl53_37
| ~ spl53_111 ),
inference(resolution,[],[f810,f469]) ).
fof(f469,plain,
( ! [X2] :
( c2_1(X2)
| ~ c3_1(X2)
| c0_1(X2) )
| ~ spl53_37 ),
inference(avatar_component_clause,[],[f468]) ).
fof(f810,plain,
( ! [X1] :
( ~ c2_1(X1)
| ~ c1_1(X1)
| c0_1(X1) )
| ~ spl53_111 ),
inference(avatar_component_clause,[],[f809]) ).
fof(f2257,plain,
( spl53_79
| spl53_136
| ~ spl53_133
| spl53_220 ),
inference(avatar_split_clause,[],[f2253,f1464,f922,f936,f657]) ).
fof(f657,plain,
( spl53_79
<=> c0_1(a2516) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_79])]) ).
fof(f936,plain,
( spl53_136
<=> c1_1(a2516) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_136])]) ).
fof(f922,plain,
( spl53_133
<=> ! [X1] :
( c0_1(X1)
| c1_1(X1)
| c3_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_133])]) ).
fof(f1464,plain,
( spl53_220
<=> c3_1(a2516) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_220])]) ).
fof(f2253,plain,
( c1_1(a2516)
| c0_1(a2516)
| ~ spl53_133
| spl53_220 ),
inference(resolution,[],[f923,f1466]) ).
fof(f1466,plain,
( ~ c3_1(a2516)
| spl53_220 ),
inference(avatar_component_clause,[],[f1464]) ).
fof(f923,plain,
( ! [X1] :
( c3_1(X1)
| c0_1(X1)
| c1_1(X1) )
| ~ spl53_133 ),
inference(avatar_component_clause,[],[f922]) ).
fof(f2256,plain,
( spl53_223
| spl53_92
| ~ spl53_133
| spl53_170 ),
inference(avatar_split_clause,[],[f2252,f1123,f922,f721,f1537]) ).
fof(f1537,plain,
( spl53_223
<=> c1_1(a2519) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_223])]) ).
fof(f721,plain,
( spl53_92
<=> c0_1(a2519) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_92])]) ).
fof(f1123,plain,
( spl53_170
<=> c3_1(a2519) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_170])]) ).
fof(f2252,plain,
( c0_1(a2519)
| c1_1(a2519)
| ~ spl53_133
| spl53_170 ),
inference(resolution,[],[f923,f1125]) ).
fof(f1125,plain,
( ~ c3_1(a2519)
| spl53_170 ),
inference(avatar_component_clause,[],[f1123]) ).
fof(f2241,plain,
( spl53_92
| spl53_223
| ~ spl53_123
| spl53_160 ),
inference(avatar_split_clause,[],[f2233,f1065,f868,f1537,f721]) ).
fof(f868,plain,
( spl53_123
<=> ! [X1] :
( c0_1(X1)
| c2_1(X1)
| c1_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_123])]) ).
fof(f1065,plain,
( spl53_160
<=> c2_1(a2519) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_160])]) ).
fof(f2233,plain,
( c1_1(a2519)
| c0_1(a2519)
| ~ spl53_123
| spl53_160 ),
inference(resolution,[],[f869,f1067]) ).
fof(f1067,plain,
( ~ c2_1(a2519)
| spl53_160 ),
inference(avatar_component_clause,[],[f1065]) ).
fof(f869,plain,
( ! [X1] :
( c2_1(X1)
| c0_1(X1)
| c1_1(X1) )
| ~ spl53_123 ),
inference(avatar_component_clause,[],[f868]) ).
fof(f2162,plain,
( spl53_7
| ~ spl53_4
| ~ spl53_101 ),
inference(avatar_split_clause,[],[f2146,f762,f324,f336]) ).
fof(f336,plain,
( spl53_7
<=> ! [X1] :
( ~ c0_1(X1)
| c1_1(X1)
| ~ c3_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_7])]) ).
fof(f762,plain,
( spl53_101
<=> ! [X0] :
( ~ c3_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_101])]) ).
fof(f2146,plain,
( ! [X2] :
( ~ c3_1(X2)
| c1_1(X2)
| ~ c0_1(X2) )
| ~ spl53_4
| ~ spl53_101 ),
inference(duplicate_literal_removal,[],[f2131]) ).
fof(f2131,plain,
( ! [X2] :
( ~ c0_1(X2)
| c1_1(X2)
| ~ c3_1(X2)
| ~ c0_1(X2) )
| ~ spl53_4
| ~ spl53_101 ),
inference(resolution,[],[f763,f325]) ).
fof(f763,plain,
( ! [X0] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) )
| ~ spl53_101 ),
inference(avatar_component_clause,[],[f762]) ).
fof(f2159,plain,
( ~ spl53_58
| ~ spl53_202
| ~ spl53_14
| ~ spl53_101 ),
inference(avatar_split_clause,[],[f2135,f762,f365,f1313,f562]) ).
fof(f562,plain,
( spl53_58
<=> c0_1(a2529) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_58])]) ).
fof(f1313,plain,
( spl53_202
<=> c3_1(a2529) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_202])]) ).
fof(f365,plain,
( spl53_14
<=> c2_1(a2529) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_14])]) ).
fof(f2135,plain,
( ~ c3_1(a2529)
| ~ c0_1(a2529)
| ~ spl53_14
| ~ spl53_101 ),
inference(resolution,[],[f763,f367]) ).
fof(f367,plain,
( c2_1(a2529)
| ~ spl53_14 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f2153,plain,
( ~ spl53_214
| ~ spl53_221
| ~ spl53_101
| ~ spl53_103 ),
inference(avatar_split_clause,[],[f2133,f770,f762,f1481,f1384]) ).
fof(f1384,plain,
( spl53_214
<=> c0_1(a2558) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_214])]) ).
fof(f2133,plain,
( ~ c3_1(a2558)
| ~ c0_1(a2558)
| ~ spl53_101
| ~ spl53_103 ),
inference(resolution,[],[f763,f772]) ).
fof(f2152,plain,
( ~ spl53_132
| ~ spl53_237
| ~ spl53_101
| ~ spl53_174 ),
inference(avatar_split_clause,[],[f2143,f1144,f762,f2149,f917]) ).
fof(f2143,plain,
( ~ c0_1(a2521)
| ~ c3_1(a2521)
| ~ spl53_101
| ~ spl53_174 ),
inference(resolution,[],[f763,f1146]) ).
fof(f2087,plain,
( ~ spl53_84
| spl53_124
| ~ spl53_37
| spl53_189 ),
inference(avatar_split_clause,[],[f2081,f1235,f468,f872,f681]) ).
fof(f681,plain,
( spl53_84
<=> c3_1(a2539) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_84])]) ).
fof(f872,plain,
( spl53_124
<=> c0_1(a2539) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_124])]) ).
fof(f1235,plain,
( spl53_189
<=> c2_1(a2539) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_189])]) ).
fof(f2081,plain,
( c0_1(a2539)
| ~ c3_1(a2539)
| ~ spl53_37
| spl53_189 ),
inference(resolution,[],[f469,f1237]) ).
fof(f1237,plain,
( ~ c2_1(a2539)
| spl53_189 ),
inference(avatar_component_clause,[],[f1235]) ).
fof(f2075,plain,
( spl53_66
| ~ spl53_91
| ~ spl53_4
| spl53_156 ),
inference(avatar_split_clause,[],[f2066,f1046,f324,f716,f600]) ).
fof(f600,plain,
( spl53_66
<=> c1_1(a2564) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_66])]) ).
fof(f716,plain,
( spl53_91
<=> c0_1(a2564) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_91])]) ).
fof(f1046,plain,
( spl53_156
<=> c2_1(a2564) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_156])]) ).
fof(f2066,plain,
( ~ c0_1(a2564)
| c1_1(a2564)
| ~ spl53_4
| spl53_156 ),
inference(resolution,[],[f325,f1048]) ).
fof(f1048,plain,
( ~ c2_1(a2564)
| spl53_156 ),
inference(avatar_component_clause,[],[f1046]) ).
fof(f2052,plain,
( spl53_215
| ~ spl53_127
| spl53_68
| ~ spl53_78 ),
inference(avatar_split_clause,[],[f2017,f653,f609,f892,f1399]) ).
fof(f1399,plain,
( spl53_215
<=> c0_1(a2614) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_215])]) ).
fof(f892,plain,
( spl53_127
<=> c1_1(a2614) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_127])]) ).
fof(f609,plain,
( spl53_68
<=> c3_1(a2614) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_68])]) ).
fof(f653,plain,
( spl53_78
<=> ! [X0] :
( c0_1(X0)
| ~ c1_1(X0)
| c3_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_78])]) ).
fof(f2017,plain,
( ~ c1_1(a2614)
| c0_1(a2614)
| spl53_68
| ~ spl53_78 ),
inference(resolution,[],[f654,f611]) ).
fof(f611,plain,
( ~ c3_1(a2614)
| spl53_68 ),
inference(avatar_component_clause,[],[f609]) ).
fof(f654,plain,
( ! [X0] :
( c3_1(X0)
| c0_1(X0)
| ~ c1_1(X0) )
| ~ spl53_78 ),
inference(avatar_component_clause,[],[f653]) ).
fof(f2048,plain,
( spl53_161
| ~ spl53_35
| ~ spl53_95
| spl53_186 ),
inference(avatar_split_clause,[],[f2038,f1214,f734,f458,f1073]) ).
fof(f1073,plain,
( spl53_161
<=> c1_1(a2541) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_161])]) ).
fof(f458,plain,
( spl53_35
<=> c3_1(a2541) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_35])]) ).
fof(f734,plain,
( spl53_95
<=> ! [X1] :
( ~ c3_1(X1)
| c2_1(X1)
| c1_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_95])]) ).
fof(f1214,plain,
( spl53_186
<=> c2_1(a2541) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_186])]) ).
fof(f2038,plain,
( ~ c3_1(a2541)
| c1_1(a2541)
| ~ spl53_95
| spl53_186 ),
inference(resolution,[],[f735,f1216]) ).
fof(f1216,plain,
( ~ c2_1(a2541)
| spl53_186 ),
inference(avatar_component_clause,[],[f1214]) ).
fof(f735,plain,
( ! [X1] :
( c2_1(X1)
| ~ c3_1(X1)
| c1_1(X1) )
| ~ spl53_95 ),
inference(avatar_component_clause,[],[f734]) ).
fof(f2047,plain,
( spl53_136
| ~ spl53_220
| ~ spl53_95
| spl53_143 ),
inference(avatar_split_clause,[],[f2043,f976,f734,f1464,f936]) ).
fof(f976,plain,
( spl53_143
<=> c2_1(a2516) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_143])]) ).
fof(f2043,plain,
( ~ c3_1(a2516)
| c1_1(a2516)
| ~ spl53_95
| spl53_143 ),
inference(resolution,[],[f735,f978]) ).
fof(f978,plain,
( ~ c2_1(a2516)
| spl53_143 ),
inference(avatar_component_clause,[],[f976]) ).
fof(f2045,plain,
( ~ spl53_80
| spl53_217
| ~ spl53_95
| spl53_183 ),
inference(avatar_split_clause,[],[f2034,f1196,f734,f1415,f662]) ).
fof(f1196,plain,
( spl53_183
<=> c2_1(a2601) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_183])]) ).
fof(f2034,plain,
( c1_1(a2601)
| ~ c3_1(a2601)
| ~ spl53_95
| spl53_183 ),
inference(resolution,[],[f735,f1198]) ).
fof(f1198,plain,
( ~ c2_1(a2601)
| spl53_183 ),
inference(avatar_component_clause,[],[f1196]) ).
fof(f2015,plain,
( spl53_98
| spl53_224
| ~ spl53_29
| spl53_203 ),
inference(avatar_split_clause,[],[f2008,f1319,f431,f1593,f748]) ).
fof(f748,plain,
( spl53_98
<=> c0_1(a2534) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_98])]) ).
fof(f431,plain,
( spl53_29
<=> ! [X1] :
( c2_1(X1)
| c3_1(X1)
| c0_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_29])]) ).
fof(f2008,plain,
( c3_1(a2534)
| c0_1(a2534)
| ~ spl53_29
| spl53_203 ),
inference(resolution,[],[f432,f1321]) ).
fof(f432,plain,
( ! [X1] :
( c2_1(X1)
| c3_1(X1)
| c0_1(X1) )
| ~ spl53_29 ),
inference(avatar_component_clause,[],[f431]) ).
fof(f1982,plain,
( ~ spl53_138
| spl53_149
| ~ spl53_27
| ~ spl53_77 ),
inference(avatar_split_clause,[],[f1981,f648,f423,f1007,f946]) ).
fof(f946,plain,
( spl53_138
<=> c0_1(a2555) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_138])]) ).
fof(f1007,plain,
( spl53_149
<=> c1_1(a2555) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_149])]) ).
fof(f648,plain,
( spl53_77
<=> c2_1(a2555) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_77])]) ).
fof(f1981,plain,
( c1_1(a2555)
| ~ c0_1(a2555)
| ~ spl53_27
| ~ spl53_77 ),
inference(resolution,[],[f650,f424]) ).
fof(f650,plain,
( c2_1(a2555)
| ~ spl53_77 ),
inference(avatar_component_clause,[],[f648]) ).
fof(f1977,plain,
( ~ spl53_215
| ~ spl53_127
| ~ spl53_10
| spl53_182 ),
inference(avatar_split_clause,[],[f1420,f1190,f348,f892,f1399]) ).
fof(f1190,plain,
( spl53_182
<=> c2_1(a2614) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_182])]) ).
fof(f1420,plain,
( ~ c1_1(a2614)
| ~ c0_1(a2614)
| ~ spl53_10
| spl53_182 ),
inference(resolution,[],[f349,f1192]) ).
fof(f1192,plain,
( ~ c2_1(a2614)
| spl53_182 ),
inference(avatar_component_clause,[],[f1190]) ).
fof(f1973,plain,
( spl53_121
| ~ spl53_2
| ~ spl53_100 ),
inference(avatar_split_clause,[],[f1972,f757,f316,f860]) ).
fof(f1972,plain,
( ! [X2] :
( ~ c0_1(X2)
| c3_1(X2)
| ~ c1_1(X2) )
| ~ spl53_2
| ~ spl53_100 ),
inference(duplicate_literal_removal,[],[f1961]) ).
fof(f1961,plain,
( ! [X2] :
( c3_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ c0_1(X2) )
| ~ spl53_2
| ~ spl53_100 ),
inference(resolution,[],[f758,f317]) ).
fof(f1884,plain,
( ~ spl53_225
| ~ spl53_105
| spl53_96
| ~ spl53_121 ),
inference(avatar_split_clause,[],[f1872,f860,f738,f780,f1684]) ).
fof(f738,plain,
( spl53_96
<=> c3_1(a2525) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_96])]) ).
fof(f1872,plain,
( ~ c0_1(a2525)
| ~ c1_1(a2525)
| spl53_96
| ~ spl53_121 ),
inference(resolution,[],[f861,f740]) ).
fof(f740,plain,
( ~ c3_1(a2525)
| spl53_96 ),
inference(avatar_component_clause,[],[f738]) ).
fof(f861,plain,
( ! [X0] :
( c3_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) )
| ~ spl53_121 ),
inference(avatar_component_clause,[],[f860]) ).
fof(f1883,plain,
( ~ spl53_228
| ~ spl53_154
| spl53_114
| ~ spl53_121 ),
inference(avatar_split_clause,[],[f1871,f860,f826,f1035,f1722]) ).
fof(f1722,plain,
( spl53_228
<=> c0_1(a2531) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_228])]) ).
fof(f1871,plain,
( ~ c1_1(a2531)
| ~ c0_1(a2531)
| spl53_114
| ~ spl53_121 ),
inference(resolution,[],[f861,f828]) ).
fof(f828,plain,
( ~ c3_1(a2531)
| spl53_114 ),
inference(avatar_component_clause,[],[f826]) ).
fof(f1882,plain,
( ~ spl53_108
| ~ spl53_214
| ~ spl53_121
| spl53_221 ),
inference(avatar_split_clause,[],[f1866,f1481,f860,f1384,f794]) ).
fof(f1866,plain,
( ~ c0_1(a2558)
| ~ c1_1(a2558)
| ~ spl53_121
| spl53_221 ),
inference(resolution,[],[f861,f1483]) ).
fof(f1483,plain,
( ~ c3_1(a2558)
| spl53_221 ),
inference(avatar_component_clause,[],[f1481]) ).
fof(f1881,plain,
( ~ spl53_197
| ~ spl53_168
| ~ spl53_121
| spl53_163 ),
inference(avatar_split_clause,[],[f1873,f1084,f860,f1112,f1278]) ).
fof(f1278,plain,
( spl53_197
<=> c0_1(a2523) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_197])]) ).
fof(f1112,plain,
( spl53_168
<=> c1_1(a2523) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_168])]) ).
fof(f1084,plain,
( spl53_163
<=> c3_1(a2523) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_163])]) ).
fof(f1873,plain,
( ~ c1_1(a2523)
| ~ c0_1(a2523)
| ~ spl53_121
| spl53_163 ),
inference(resolution,[],[f861,f1086]) ).
fof(f1086,plain,
( ~ c3_1(a2523)
| spl53_163 ),
inference(avatar_component_clause,[],[f1084]) ).
fof(f1880,plain,
( ~ spl53_233
| ~ spl53_47
| spl53_31
| ~ spl53_121 ),
inference(avatar_split_clause,[],[f1870,f860,f440,f512,f1811]) ).
fof(f1870,plain,
( ~ c0_1(a2540)
| ~ c1_1(a2540)
| spl53_31
| ~ spl53_121 ),
inference(resolution,[],[f861,f442]) ).
fof(f442,plain,
( ~ c3_1(a2540)
| spl53_31 ),
inference(avatar_component_clause,[],[f440]) ).
fof(f1862,plain,
( spl53_117
| ~ spl53_232
| ~ spl53_116
| ~ spl53_195 ),
inference(avatar_split_clause,[],[f1857,f1266,f837,f1790,f841]) ).
fof(f841,plain,
( spl53_117
<=> c0_1(a2522) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_117])]) ).
fof(f1790,plain,
( spl53_232
<=> c1_1(a2522) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_232])]) ).
fof(f1266,plain,
( spl53_195
<=> c3_1(a2522) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_195])]) ).
fof(f1857,plain,
( ~ c1_1(a2522)
| c0_1(a2522)
| ~ spl53_116
| ~ spl53_195 ),
inference(resolution,[],[f838,f1268]) ).
fof(f1268,plain,
( c3_1(a2522)
| ~ spl53_195 ),
inference(avatar_component_clause,[],[f1266]) ).
fof(f838,plain,
( ! [X0] :
( ~ c3_1(X0)
| ~ c1_1(X0)
| c0_1(X0) )
| ~ spl53_116 ),
inference(avatar_component_clause,[],[f837]) ).
fof(f1861,plain,
( spl53_98
| ~ spl53_167
| ~ spl53_116
| ~ spl53_224 ),
inference(avatar_split_clause,[],[f1853,f1593,f837,f1107,f748]) ).
fof(f1853,plain,
( ~ c1_1(a2534)
| c0_1(a2534)
| ~ spl53_116
| ~ spl53_224 ),
inference(resolution,[],[f838,f1594]) ).
fof(f1594,plain,
( c3_1(a2534)
| ~ spl53_224 ),
inference(avatar_component_clause,[],[f1593]) ).
fof(f1860,plain,
( ~ spl53_191
| spl53_106
| ~ spl53_116
| ~ spl53_209 ),
inference(avatar_split_clause,[],[f1855,f1354,f837,f785,f1245]) ).
fof(f1245,plain,
( spl53_191
<=> c1_1(a2526) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_191])]) ).
fof(f785,plain,
( spl53_106
<=> c0_1(a2526) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_106])]) ).
fof(f1354,plain,
( spl53_209
<=> c3_1(a2526) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_209])]) ).
fof(f1855,plain,
( c0_1(a2526)
| ~ c1_1(a2526)
| ~ spl53_116
| ~ spl53_209 ),
inference(resolution,[],[f838,f1356]) ).
fof(f1356,plain,
( c3_1(a2526)
| ~ spl53_209 ),
inference(avatar_component_clause,[],[f1354]) ).
fof(f1814,plain,
( ~ spl53_47
| spl53_233
| spl53_31
| ~ spl53_76 ),
inference(avatar_split_clause,[],[f1799,f644,f440,f1811,f512]) ).
fof(f1799,plain,
( c1_1(a2540)
| ~ c0_1(a2540)
| spl53_31
| ~ spl53_76 ),
inference(resolution,[],[f645,f442]) ).
fof(f645,plain,
( ! [X0] :
( c3_1(X0)
| c1_1(X0)
| ~ c0_1(X0) )
| ~ spl53_76 ),
inference(avatar_component_clause,[],[f644]) ).
fof(f1794,plain,
( spl53_117
| spl53_232
| ~ spl53_65
| ~ spl53_109 ),
inference(avatar_split_clause,[],[f1787,f800,f595,f1790,f841]) ).
fof(f595,plain,
( spl53_65
<=> ! [X2] :
( ~ c2_1(X2)
| c1_1(X2)
| c0_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_65])]) ).
fof(f800,plain,
( spl53_109
<=> c2_1(a2522) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_109])]) ).
fof(f1787,plain,
( c1_1(a2522)
| c0_1(a2522)
| ~ spl53_65
| ~ spl53_109 ),
inference(resolution,[],[f802,f596]) ).
fof(f596,plain,
( ! [X2] :
( ~ c2_1(X2)
| c1_1(X2)
| c0_1(X2) )
| ~ spl53_65 ),
inference(avatar_component_clause,[],[f595]) ).
fof(f802,plain,
( c2_1(a2522)
| ~ spl53_109 ),
inference(avatar_component_clause,[],[f800]) ).
fof(f1783,plain,
( spl53_98
| ~ spl53_167
| ~ spl53_72
| spl53_203 ),
inference(avatar_split_clause,[],[f1773,f1319,f628,f1107,f748]) ).
fof(f628,plain,
( spl53_72
<=> ! [X0] :
( ~ c1_1(X0)
| c2_1(X0)
| c0_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_72])]) ).
fof(f1773,plain,
( ~ c1_1(a2534)
| c0_1(a2534)
| ~ spl53_72
| spl53_203 ),
inference(resolution,[],[f629,f1321]) ).
fof(f629,plain,
( ! [X0] :
( c2_1(X0)
| c0_1(X0)
| ~ c1_1(X0) )
| ~ spl53_72 ),
inference(avatar_component_clause,[],[f628]) ).
fof(f1764,plain,
( spl53_170
| spl53_92
| ~ spl53_29
| spl53_160 ),
inference(avatar_split_clause,[],[f1759,f1065,f431,f721,f1123]) ).
fof(f1759,plain,
( c0_1(a2519)
| c3_1(a2519)
| ~ spl53_29
| spl53_160 ),
inference(resolution,[],[f432,f1067]) ).
fof(f1763,plain,
( spl53_79
| spl53_220
| ~ spl53_29
| spl53_143 ),
inference(avatar_split_clause,[],[f1760,f976,f431,f1464,f657]) ).
fof(f1760,plain,
( c3_1(a2516)
| c0_1(a2516)
| ~ spl53_29
| spl53_143 ),
inference(resolution,[],[f432,f978]) ).
fof(f1762,plain,
( spl53_215
| spl53_68
| ~ spl53_29
| spl53_182 ),
inference(avatar_split_clause,[],[f1752,f1190,f431,f609,f1399]) ).
fof(f1752,plain,
( c3_1(a2614)
| c0_1(a2614)
| ~ spl53_29
| spl53_182 ),
inference(resolution,[],[f432,f1192]) ).
fof(f1725,plain,
( spl53_228
| ~ spl53_154
| ~ spl53_111
| ~ spl53_128 ),
inference(avatar_split_clause,[],[f1715,f897,f809,f1035,f1722]) ).
fof(f1715,plain,
( ~ c1_1(a2531)
| c0_1(a2531)
| ~ spl53_111
| ~ spl53_128 ),
inference(resolution,[],[f810,f899]) ).
fof(f1720,plain,
( spl53_78
| ~ spl53_94
| ~ spl53_111 ),
inference(avatar_split_clause,[],[f1718,f809,f730,f653]) ).
fof(f1718,plain,
( ! [X0] :
( c3_1(X0)
| ~ c1_1(X0)
| c0_1(X0) )
| ~ spl53_94
| ~ spl53_111 ),
inference(duplicate_literal_removal,[],[f1706]) ).
fof(f1706,plain,
( ! [X0] :
( c3_1(X0)
| c0_1(X0)
| ~ c1_1(X0)
| ~ c1_1(X0) )
| ~ spl53_94
| ~ spl53_111 ),
inference(resolution,[],[f810,f731]) ).
fof(f1719,plain,
( ~ spl53_139
| spl53_192
| ~ spl53_111
| ~ spl53_177 ),
inference(avatar_split_clause,[],[f1713,f1162,f809,f1251,f951]) ).
fof(f951,plain,
( spl53_139
<=> c1_1(a2545) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_139])]) ).
fof(f1251,plain,
( spl53_192
<=> c0_1(a2545) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_192])]) ).
fof(f1162,plain,
( spl53_177
<=> c2_1(a2545) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_177])]) ).
fof(f1713,plain,
( c0_1(a2545)
| ~ c1_1(a2545)
| ~ spl53_111
| ~ spl53_177 ),
inference(resolution,[],[f810,f1164]) ).
fof(f1164,plain,
( c2_1(a2545)
| ~ spl53_177 ),
inference(avatar_component_clause,[],[f1162]) ).
fof(f1690,plain,
( ~ spl53_194
| spl53_82
| ~ spl53_76
| spl53_208 ),
inference(avatar_split_clause,[],[f1618,f1348,f644,f672,f1261]) ).
fof(f1261,plain,
( spl53_194
<=> c0_1(a2553) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_194])]) ).
fof(f672,plain,
( spl53_82
<=> c1_1(a2553) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_82])]) ).
fof(f1348,plain,
( spl53_208
<=> c3_1(a2553) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_208])]) ).
fof(f1618,plain,
( c1_1(a2553)
| ~ c0_1(a2553)
| ~ spl53_76
| spl53_208 ),
inference(resolution,[],[f1350,f645]) ).
fof(f1350,plain,
( ~ c3_1(a2553)
| spl53_208 ),
inference(avatar_component_clause,[],[f1348]) ).
fof(f1689,plain,
( spl53_179
| ~ spl53_125
| ~ spl53_7
| ~ spl53_210 ),
inference(avatar_split_clause,[],[f1543,f1359,f336,f878,f1174]) ).
fof(f1174,plain,
( spl53_179
<=> c1_1(a2548) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_179])]) ).
fof(f878,plain,
( spl53_125
<=> c0_1(a2548) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_125])]) ).
fof(f1359,plain,
( spl53_210
<=> c3_1(a2548) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_210])]) ).
fof(f1543,plain,
( ~ c0_1(a2548)
| c1_1(a2548)
| ~ spl53_7
| ~ spl53_210 ),
inference(resolution,[],[f1361,f337]) ).
fof(f337,plain,
( ! [X1] :
( ~ c3_1(X1)
| ~ c0_1(X1)
| c1_1(X1) )
| ~ spl53_7 ),
inference(avatar_component_clause,[],[f336]) ).
fof(f1361,plain,
( c3_1(a2548)
| ~ spl53_210 ),
inference(avatar_component_clause,[],[f1359]) ).
fof(f1687,plain,
( ~ spl53_105
| spl53_225
| ~ spl53_76
| spl53_96 ),
inference(avatar_split_clause,[],[f1562,f738,f644,f1684,f780]) ).
fof(f1562,plain,
( c1_1(a2525)
| ~ c0_1(a2525)
| ~ spl53_76
| spl53_96 ),
inference(resolution,[],[f645,f740]) ).
fof(f1679,plain,
( ~ spl53_125
| ~ spl53_4
| ~ spl53_27
| spl53_179 ),
inference(avatar_split_clause,[],[f1673,f1174,f423,f324,f878]) ).
fof(f1673,plain,
( ~ c0_1(a2548)
| ~ spl53_4
| ~ spl53_27
| spl53_179 ),
inference(resolution,[],[f1453,f1176]) ).
fof(f1176,plain,
( ~ c1_1(a2548)
| spl53_179 ),
inference(avatar_component_clause,[],[f1174]) ).
fof(f1453,plain,
( ! [X1] :
( c1_1(X1)
| ~ c0_1(X1) )
| ~ spl53_4
| ~ spl53_27 ),
inference(duplicate_literal_removal,[],[f1445]) ).
fof(f1445,plain,
( ! [X1] :
( c1_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X1)
| c1_1(X1) )
| ~ spl53_4
| ~ spl53_27 ),
inference(resolution,[],[f424,f325]) ).
fof(f1678,plain,
( ~ spl53_194
| ~ spl53_4
| ~ spl53_27
| spl53_82 ),
inference(avatar_split_clause,[],[f1670,f672,f423,f324,f1261]) ).
fof(f1670,plain,
( ~ c0_1(a2553)
| ~ spl53_4
| ~ spl53_27
| spl53_82 ),
inference(resolution,[],[f1453,f674]) ).
fof(f674,plain,
( ~ c1_1(a2553)
| spl53_82 ),
inference(avatar_component_clause,[],[f672]) ).
fof(f1653,plain,
( ~ spl53_108
| ~ spl53_214
| ~ spl53_100
| ~ spl53_103 ),
inference(avatar_split_clause,[],[f1643,f770,f757,f1384,f794]) ).
fof(f1643,plain,
( ~ c0_1(a2558)
| ~ c1_1(a2558)
| ~ spl53_100
| ~ spl53_103 ),
inference(resolution,[],[f758,f772]) ).
fof(f1612,plain,
( spl53_68
| ~ spl53_127
| ~ spl53_94
| spl53_182 ),
inference(avatar_split_clause,[],[f1602,f1190,f730,f892,f609]) ).
fof(f1602,plain,
( ~ c1_1(a2614)
| c3_1(a2614)
| ~ spl53_94
| spl53_182 ),
inference(resolution,[],[f731,f1192]) ).
fof(f1611,plain,
( spl53_224
| ~ spl53_167
| ~ spl53_94
| spl53_203 ),
inference(avatar_split_clause,[],[f1605,f1319,f730,f1107,f1593]) ).
fof(f1605,plain,
( ~ c1_1(a2534)
| c3_1(a2534)
| ~ spl53_94
| spl53_203 ),
inference(resolution,[],[f731,f1321]) ).
fof(f1610,plain,
( spl53_170
| ~ spl53_223
| ~ spl53_94
| spl53_160 ),
inference(avatar_split_clause,[],[f1607,f1065,f730,f1537,f1123]) ).
fof(f1607,plain,
( ~ c1_1(a2519)
| c3_1(a2519)
| ~ spl53_94
| spl53_160 ),
inference(resolution,[],[f731,f1067]) ).
fof(f1596,plain,
( spl53_98
| ~ spl53_224
| ~ spl53_37
| spl53_203 ),
inference(avatar_split_clause,[],[f1588,f1319,f468,f1593,f748]) ).
fof(f1588,plain,
( ~ c3_1(a2534)
| c0_1(a2534)
| ~ spl53_37
| spl53_203 ),
inference(resolution,[],[f1321,f469]) ).
fof(f1586,plain,
( ~ spl53_205
| spl53_200
| ~ spl53_78
| spl53_150 ),
inference(avatar_split_clause,[],[f1578,f1012,f653,f1296,f1332]) ).
fof(f1332,plain,
( spl53_205
<=> c1_1(a2518) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_205])]) ).
fof(f1296,plain,
( spl53_200
<=> c0_1(a2518) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_200])]) ).
fof(f1012,plain,
( spl53_150
<=> c3_1(a2518) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_150])]) ).
fof(f1578,plain,
( c0_1(a2518)
| ~ c1_1(a2518)
| ~ spl53_78
| spl53_150 ),
inference(resolution,[],[f654,f1014]) ).
fof(f1014,plain,
( ~ c3_1(a2518)
| spl53_150 ),
inference(avatar_component_clause,[],[f1012]) ).
fof(f1511,plain,
( spl53_164
| spl53_173
| ~ spl53_65
| ~ spl53_134 ),
inference(avatar_split_clause,[],[f1505,f926,f595,f1138,f1091]) ).
fof(f1091,plain,
( spl53_164
<=> c1_1(a2549) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_164])]) ).
fof(f1138,plain,
( spl53_173
<=> c0_1(a2549) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_173])]) ).
fof(f926,plain,
( spl53_134
<=> c2_1(a2549) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_134])]) ).
fof(f1505,plain,
( c0_1(a2549)
| c1_1(a2549)
| ~ spl53_65
| ~ spl53_134 ),
inference(resolution,[],[f596,f928]) ).
fof(f928,plain,
( c2_1(a2549)
| ~ spl53_134 ),
inference(avatar_component_clause,[],[f926]) ).
fof(f1498,plain,
( spl53_116
| ~ spl53_37
| ~ spl53_40 ),
inference(avatar_split_clause,[],[f1479,f480,f468,f837]) ).
fof(f1479,plain,
( ! [X0] :
( c0_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) )
| ~ spl53_37
| ~ spl53_40 ),
inference(duplicate_literal_removal,[],[f1469]) ).
fof(f1469,plain,
( ! [X0] :
( ~ c3_1(X0)
| c0_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) )
| ~ spl53_37
| ~ spl53_40 ),
inference(resolution,[],[f481,f469]) ).
fof(f1484,plain,
( ~ spl53_108
| ~ spl53_221
| ~ spl53_40
| ~ spl53_103 ),
inference(avatar_split_clause,[],[f1473,f770,f480,f1481,f794]) ).
fof(f1473,plain,
( ~ c3_1(a2558)
| ~ c1_1(a2558)
| ~ spl53_40
| ~ spl53_103 ),
inference(resolution,[],[f481,f772]) ).
fof(f1467,plain,
( spl53_79
| ~ spl53_220
| ~ spl53_37
| spl53_143 ),
inference(avatar_split_clause,[],[f1461,f976,f468,f1464,f657]) ).
fof(f1461,plain,
( ~ c3_1(a2516)
| c0_1(a2516)
| ~ spl53_37
| spl53_143 ),
inference(resolution,[],[f469,f978]) ).
fof(f1403,plain,
( ~ spl53_47
| spl53_31
| ~ spl53_2
| spl53_193 ),
inference(avatar_split_clause,[],[f1394,f1256,f316,f440,f512]) ).
fof(f1394,plain,
( c3_1(a2540)
| ~ c0_1(a2540)
| ~ spl53_2
| spl53_193 ),
inference(resolution,[],[f317,f1258]) ).
fof(f1402,plain,
( ~ spl53_215
| spl53_68
| ~ spl53_2
| spl53_182 ),
inference(avatar_split_clause,[],[f1392,f1190,f316,f609,f1399]) ).
fof(f1392,plain,
( c3_1(a2614)
| ~ c0_1(a2614)
| ~ spl53_2
| spl53_182 ),
inference(resolution,[],[f317,f1192]) ).
fof(f1391,plain,
( ~ spl53_6
| spl53_37
| ~ spl53_201
| spl53_44 ),
inference(avatar_split_clause,[],[f290,f498,f1302,f468,f332]) ).
fof(f332,plain,
( spl53_6
<=> ndr1_0 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_6])]) ).
fof(f1302,plain,
( spl53_201
<=> sP42 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_201])]) ).
fof(f498,plain,
( spl53_44
<=> hskp11 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_44])]) ).
fof(f290,plain,
! [X1] :
( hskp11
| ~ sP42
| ~ c3_1(X1)
| c2_1(X1)
| ~ ndr1_0
| c0_1(X1) ),
inference(general_splitting,[],[f170,f289_D]) ).
fof(f289,plain,
! [X0] :
( sP42
| c1_1(X0)
| ~ c3_1(X0)
| c2_1(X0) ),
inference(cnf_transformation,[],[f289_D]) ).
fof(f289_D,plain,
( ! [X0] :
( c1_1(X0)
| ~ c3_1(X0)
| c2_1(X0) )
<=> ~ sP42 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP42])]) ).
fof(f170,axiom,
! [X0,X1] :
( ~ c3_1(X1)
| c0_1(X1)
| c2_1(X0)
| c2_1(X1)
| c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).
fof(f1390,plain,
( spl53_2
| ~ spl53_6
| ~ spl53_120
| spl53_5 ),
inference(avatar_split_clause,[],[f274,f328,f856,f332,f316]) ).
fof(f856,plain,
( spl53_120
<=> sP34 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_120])]) ).
fof(f328,plain,
( spl53_5
<=> hskp21 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_5])]) ).
fof(f274,plain,
! [X1] :
( hskp21
| ~ sP34
| ~ ndr1_0
| c3_1(X1)
| c2_1(X1)
| ~ c0_1(X1) ),
inference(general_splitting,[],[f184,f273_D]) ).
fof(f273,plain,
! [X0] :
( c3_1(X0)
| sP34
| ~ c0_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f273_D]) ).
fof(f273_D,plain,
( ! [X0] :
( c3_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) )
<=> ~ sP34 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP34])]) ).
fof(f184,axiom,
! [X0,X1] :
( hskp21
| ~ c0_1(X0)
| c2_1(X1)
| ~ c0_1(X1)
| c3_1(X0)
| c3_1(X1)
| ~ c1_1(X0)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).
fof(f1389,plain,
( spl53_145
| spl53_10 ),
inference(avatar_split_clause,[],[f265,f348,f986]) ).
fof(f986,plain,
( spl53_145
<=> sP30 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_145])]) ).
fof(f265,plain,
! [X0] :
( ~ c0_1(X0)
| c2_1(X0)
| ~ c1_1(X0)
| sP30 ),
inference(cnf_transformation,[],[f265_D]) ).
fof(f265_D,plain,
( ! [X0] :
( ~ c0_1(X0)
| c2_1(X0)
| ~ c1_1(X0) )
<=> ~ sP30 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP30])]) ).
fof(f1388,plain,
( spl53_184
| spl53_94 ),
inference(avatar_split_clause,[],[f211,f730,f1201]) ).
fof(f1201,plain,
( spl53_184
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_184])]) ).
fof(f211,plain,
! [X0] :
( c2_1(X0)
| c3_1(X0)
| sP3
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f211_D]) ).
fof(f211_D,plain,
( ! [X0] :
( c2_1(X0)
| c3_1(X0)
| ~ c1_1(X0) )
<=> ~ sP3 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).
fof(f1387,plain,
( spl53_214
| ~ spl53_104 ),
inference(avatar_split_clause,[],[f44,f774,f1384]) ).
fof(f774,plain,
( spl53_104
<=> hskp30 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_104])]) ).
fof(f44,axiom,
( ~ hskp30
| c0_1(a2558) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).
fof(f1377,plain,
( spl53_75
| spl53_53
| ~ spl53_6
| spl53_101 ),
inference(avatar_split_clause,[],[f160,f762,f332,f539,f640]) ).
fof(f640,plain,
( spl53_75
<=> hskp20 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_75])]) ).
fof(f539,plain,
( spl53_53
<=> hskp6 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_53])]) ).
fof(f160,axiom,
! [X0] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| hskp6
| hskp20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).
fof(f1375,plain,
( spl53_12
| ~ spl53_6
| spl53_15
| spl53_27 ),
inference(avatar_split_clause,[],[f152,f423,f370,f332,f356]) ).
fof(f356,plain,
( spl53_12
<=> hskp0 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_12])]) ).
fof(f370,plain,
( spl53_15
<=> hskp18 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_15])]) ).
fof(f152,axiom,
! [X0] :
( ~ c2_1(X0)
| hskp18
| c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X0)
| hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).
fof(f1374,plain,
( spl53_130
| spl53_40 ),
inference(avatar_split_clause,[],[f263,f480,f908]) ).
fof(f908,plain,
( spl53_130
<=> sP29 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_130])]) ).
fof(f263,plain,
! [X0] :
( ~ c1_1(X0)
| sP29
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f263_D]) ).
fof(f263_D,plain,
( ! [X0] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) )
<=> ~ sP29 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP29])]) ).
fof(f1367,plain,
( ~ spl53_43
| spl53_211 ),
inference(avatar_split_clause,[],[f48,f1364,f493]) ).
fof(f493,plain,
( spl53_43
<=> hskp29 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_43])]) ).
fof(f48,axiom,
( c2_1(a2556)
| ~ hskp29 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).
fof(f1362,plain,
( ~ spl53_54
| spl53_210 ),
inference(avatar_split_clause,[],[f65,f1359,f543]) ).
fof(f543,plain,
( spl53_54
<=> hskp19 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_54])]) ).
fof(f65,axiom,
( c3_1(a2548)
| ~ hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).
fof(f1357,plain,
( ~ spl53_107
| spl53_209 ),
inference(avatar_split_clause,[],[f76,f1354,f789]) ).
fof(f789,plain,
( spl53_107
<=> hskp9 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_107])]) ).
fof(f76,axiom,
( c3_1(a2526)
| ~ hskp9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).
fof(f1351,plain,
( ~ spl53_208
| ~ spl53_57 ),
inference(avatar_split_clause,[],[f96,f557,f1348]) ).
fof(f557,plain,
( spl53_57
<=> hskp23 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_57])]) ).
fof(f96,axiom,
( ~ hskp23
| ~ c3_1(a2553) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).
fof(f1346,plain,
( spl53_207
| ~ spl53_43 ),
inference(avatar_split_clause,[],[f47,f493,f1343]) ).
fof(f47,axiom,
( ~ hskp29
| c1_1(a2556) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).
fof(f1341,plain,
( spl53_206
| ~ spl53_43 ),
inference(avatar_split_clause,[],[f49,f493,f1338]) ).
fof(f49,axiom,
( ~ hskp29
| c3_1(a2556) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).
fof(f1336,plain,
( spl53_65
| spl53_140 ),
inference(avatar_split_clause,[],[f269,f956,f595]) ).
fof(f956,plain,
( spl53_140
<=> sP32 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_140])]) ).
fof(f269,plain,
! [X2] :
( sP32
| c1_1(X2)
| ~ c2_1(X2)
| c0_1(X2) ),
inference(cnf_transformation,[],[f269_D]) ).
fof(f269_D,plain,
( ! [X2] :
( c1_1(X2)
| ~ c2_1(X2)
| c0_1(X2) )
<=> ~ sP32 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP32])]) ).
fof(f1335,plain,
( ~ spl53_97
| spl53_205 ),
inference(avatar_split_clause,[],[f87,f1332,f743]) ).
fof(f743,plain,
( spl53_97
<=> hskp2 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_97])]) ).
fof(f87,axiom,
( c1_1(a2518)
| ~ hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).
fof(f1329,plain,
( ~ spl53_17
| ~ spl53_204 ),
inference(avatar_split_clause,[],[f126,f1326,f379]) ).
fof(f379,plain,
( spl53_17
<=> hskp4 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_17])]) ).
fof(f126,axiom,
( ~ c1_1(a2521)
| ~ hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).
fof(f1323,plain,
( spl53_188
| spl53_111 ),
inference(avatar_split_clause,[],[f237,f809,f1227]) ).
fof(f1227,plain,
( spl53_188
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_188])]) ).
fof(f237,plain,
! [X2] :
( ~ c1_1(X2)
| sP16
| c0_1(X2)
| ~ c2_1(X2) ),
inference(cnf_transformation,[],[f237_D]) ).
fof(f237_D,plain,
( ! [X2] :
( ~ c1_1(X2)
| c0_1(X2)
| ~ c2_1(X2) )
<=> ~ sP16 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP16])]) ).
fof(f1322,plain,
( ~ spl53_71
| ~ spl53_203 ),
inference(avatar_split_clause,[],[f114,f1319,f623]) ).
fof(f623,plain,
( spl53_71
<=> hskp13 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_71])]) ).
fof(f114,axiom,
( ~ c2_1(a2534)
| ~ hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).
fof(f1316,plain,
( spl53_202
| ~ spl53_13 ),
inference(avatar_split_clause,[],[f52,f361,f1313]) ).
fof(f361,plain,
( spl53_13
<=> hskp28 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_13])]) ).
fof(f52,axiom,
( ~ hskp28
| c3_1(a2529) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).
fof(f1306,plain,
( ~ spl53_57
| spl53_6 ),
inference(avatar_split_clause,[],[f11,f332,f557]) ).
fof(f11,axiom,
( ndr1_0
| ~ hskp23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause11) ).
fof(f1305,plain,
( spl53_95
| spl53_201 ),
inference(avatar_split_clause,[],[f289,f1302,f734]) ).
fof(f1299,plain,
( ~ spl53_200
| ~ spl53_97 ),
inference(avatar_split_clause,[],[f130,f743,f1296]) ).
fof(f130,axiom,
( ~ hskp2
| ~ c0_1(a2518) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).
fof(f1289,plain,
( ~ spl53_6
| spl53_107
| ~ spl53_146
| spl53_29 ),
inference(avatar_split_clause,[],[f216,f431,f991,f789,f332]) ).
fof(f991,plain,
( spl53_146
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_146])]) ).
fof(f216,plain,
! [X1] :
( c3_1(X1)
| ~ sP5
| c2_1(X1)
| hskp9
| c0_1(X1)
| ~ ndr1_0 ),
inference(general_splitting,[],[f164,f215_D]) ).
fof(f215,plain,
! [X0] :
( ~ c1_1(X0)
| c3_1(X0)
| sP5
| c2_1(X0) ),
inference(cnf_transformation,[],[f215_D]) ).
fof(f215_D,plain,
( ! [X0] :
( ~ c1_1(X0)
| c3_1(X0)
| c2_1(X0) )
<=> ~ sP5 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP5])]) ).
fof(f164,axiom,
! [X0,X1] :
( c3_1(X1)
| hskp9
| c2_1(X1)
| ~ ndr1_0
| c3_1(X0)
| ~ c1_1(X0)
| c0_1(X1)
| c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).
fof(f1282,plain,
( spl53_52
| spl53_5
| spl53_104 ),
inference(avatar_split_clause,[],[f35,f774,f328,f534]) ).
fof(f534,plain,
( spl53_52
<=> hskp26 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_52])]) ).
fof(f35,axiom,
( hskp30
| hskp21
| hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).
fof(f1281,plain,
( ~ spl53_53
| spl53_197 ),
inference(avatar_split_clause,[],[f81,f1278,f539]) ).
fof(f81,axiom,
( c0_1(a2523)
| ~ hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).
fof(f1270,plain,
( spl53_148
| spl53_137 ),
inference(avatar_split_clause,[],[f223,f941,f1002]) ).
fof(f941,plain,
( spl53_137
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_137])]) ).
fof(f223,plain,
! [X0] :
( sP9
| ~ c1_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f223_D]) ).
fof(f223_D,plain,
( ! [X0] :
( ~ c1_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X0) )
<=> ~ sP9 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP9])]) ).
fof(f1269,plain,
( ~ spl53_60
| spl53_195 ),
inference(avatar_split_clause,[],[f84,f1266,f572]) ).
fof(f572,plain,
( spl53_60
<=> hskp5 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_60])]) ).
fof(f84,axiom,
( c3_1(a2522)
| ~ hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).
fof(f1264,plain,
( ~ spl53_57
| spl53_194 ),
inference(avatar_split_clause,[],[f59,f1261,f557]) ).
fof(f59,axiom,
( c0_1(a2553)
| ~ hskp23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).
fof(f1259,plain,
( ~ spl53_32
| ~ spl53_193 ),
inference(avatar_split_clause,[],[f106,f1256,f444]) ).
fof(f444,plain,
( spl53_32
<=> hskp16 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_32])]) ).
fof(f106,axiom,
( ~ c2_1(a2540)
| ~ hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).
fof(f1254,plain,
( ~ spl53_15
| ~ spl53_192 ),
inference(avatar_split_clause,[],[f103,f1251,f370]) ).
fof(f103,axiom,
( ~ c0_1(a2545)
| ~ hskp18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).
fof(f1248,plain,
( ~ spl53_107
| spl53_191 ),
inference(avatar_split_clause,[],[f75,f1245,f789]) ).
fof(f75,axiom,
( c1_1(a2526)
| ~ hskp9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).
fof(f1238,plain,
( ~ spl53_189
| ~ spl53_83 ),
inference(avatar_split_clause,[],[f109,f677,f1235]) ).
fof(f677,plain,
( spl53_83
<=> hskp15 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_83])]) ).
fof(f109,axiom,
( ~ hskp15
| ~ c2_1(a2539) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).
fof(f1231,plain,
( ~ spl53_6
| ~ spl53_159
| ~ spl53_175
| spl53_78 ),
inference(avatar_split_clause,[],[f284,f653,f1150,f1060,f332]) ).
fof(f1060,plain,
( spl53_159
<=> sP39 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_159])]) ).
fof(f1150,plain,
( spl53_175
<=> sP38 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_175])]) ).
fof(f284,plain,
! [X1] :
( ~ c1_1(X1)
| c0_1(X1)
| ~ sP38
| ~ sP39
| ~ ndr1_0
| c3_1(X1) ),
inference(general_splitting,[],[f282,f283_D]) ).
fof(f283,plain,
! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0)
| sP39 ),
inference(cnf_transformation,[],[f283_D]) ).
fof(f283_D,plain,
( ! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) )
<=> ~ sP39 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP39])]) ).
fof(f282,plain,
! [X0,X1] :
( ~ c1_1(X0)
| c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X0)
| c0_1(X1)
| ~ sP38 ),
inference(general_splitting,[],[f195,f281_D]) ).
fof(f281,plain,
! [X2] :
( sP38
| c1_1(X2)
| c0_1(X2)
| c3_1(X2) ),
inference(cnf_transformation,[],[f281_D]) ).
fof(f281_D,plain,
( ! [X2] :
( c1_1(X2)
| c0_1(X2)
| c3_1(X2) )
<=> ~ sP38 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP38])]) ).
fof(f195,axiom,
! [X2,X0,X1] :
( c3_1(X2)
| ~ c1_1(X0)
| c3_1(X1)
| ~ ndr1_0
| c1_1(X2)
| ~ c0_1(X0)
| c0_1(X2)
| ~ c1_1(X1)
| ~ c2_1(X0)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause195) ).
fof(f1230,plain,
( ~ spl53_6
| spl53_95
| ~ spl53_188
| ~ spl53_112 ),
inference(avatar_split_clause,[],[f240,f814,f1227,f734,f332]) ).
fof(f814,plain,
( spl53_112
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_112])]) ).
fof(f240,plain,
! [X1] :
( ~ sP17
| ~ sP16
| c2_1(X1)
| c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
inference(general_splitting,[],[f238,f239_D]) ).
fof(f239,plain,
! [X0] :
( sP17
| ~ c0_1(X0)
| c1_1(X0)
| c3_1(X0) ),
inference(cnf_transformation,[],[f239_D]) ).
fof(f239_D,plain,
( ! [X0] :
( ~ c0_1(X0)
| c1_1(X0)
| c3_1(X0) )
<=> ~ sP17 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP17])]) ).
fof(f238,plain,
! [X0,X1] :
( c3_1(X0)
| c2_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X0)
| c1_1(X0)
| ~ c3_1(X1)
| ~ sP16 ),
inference(general_splitting,[],[f197,f237_D]) ).
fof(f197,axiom,
! [X2,X0,X1] :
( ~ c2_1(X2)
| ~ c1_1(X2)
| c3_1(X0)
| c2_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X0)
| c1_1(X0)
| ~ c3_1(X1)
| c0_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause197) ).
fof(f1220,plain,
( ~ spl53_6
| spl53_97
| ~ spl53_1
| spl53_76 ),
inference(avatar_split_clause,[],[f276,f644,f312,f743,f332]) ).
fof(f312,plain,
( spl53_1
<=> sP35 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_1])]) ).
fof(f276,plain,
! [X1] :
( c1_1(X1)
| c3_1(X1)
| ~ sP35
| hskp2
| ~ c0_1(X1)
| ~ ndr1_0 ),
inference(general_splitting,[],[f174,f275_D]) ).
fof(f275,plain,
! [X0] :
( c3_1(X0)
| ~ c0_1(X0)
| sP35
| c2_1(X0) ),
inference(cnf_transformation,[],[f275_D]) ).
fof(f275_D,plain,
( ! [X0] :
( c3_1(X0)
| ~ c0_1(X0)
| c2_1(X0) )
<=> ~ sP35 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP35])]) ).
fof(f174,axiom,
! [X0,X1] :
( c2_1(X0)
| c3_1(X1)
| ~ c0_1(X0)
| c3_1(X0)
| hskp2
| ~ c0_1(X1)
| ~ ndr1_0
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).
fof(f1217,plain,
( ~ spl53_34
| ~ spl53_186 ),
inference(avatar_split_clause,[],[f105,f1214,f454]) ).
fof(f454,plain,
( spl53_34
<=> hskp17 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_34])]) ).
fof(f105,axiom,
( ~ c2_1(a2541)
| ~ hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).
fof(f1212,plain,
( spl53_101
| spl53_99 ),
inference(avatar_split_clause,[],[f257,f753,f762]) ).
fof(f753,plain,
( spl53_99
<=> sP26 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_99])]) ).
fof(f257,plain,
! [X0] :
( sP26
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f257_D]) ).
fof(f257_D,plain,
( ! [X0] :
( ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) )
<=> ~ sP26 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP26])]) ).
fof(f1210,plain,
( spl53_181
| spl53_162 ),
inference(avatar_split_clause,[],[f209,f1079,f1184]) ).
fof(f1184,plain,
( spl53_181
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_181])]) ).
fof(f209,plain,
! [X0] :
( c3_1(X0)
| sP2
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f209_D]) ).
fof(f209_D,plain,
( ! [X0] :
( c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) )
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f1204,plain,
( spl53_34
| ~ spl53_184
| spl53_116
| ~ spl53_6 ),
inference(avatar_split_clause,[],[f212,f332,f837,f1201,f454]) ).
fof(f212,plain,
! [X1] :
( ~ ndr1_0
| ~ c3_1(X1)
| ~ sP3
| c0_1(X1)
| hskp17
| ~ c1_1(X1) ),
inference(general_splitting,[],[f181,f211_D]) ).
fof(f181,axiom,
! [X0,X1] :
( c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| c3_1(X0)
| hskp17
| c2_1(X0)
| ~ c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).
fof(f1199,plain,
( ~ spl53_52
| ~ spl53_183 ),
inference(avatar_split_clause,[],[f91,f1196,f534]) ).
fof(f91,axiom,
( ~ c2_1(a2601)
| ~ hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).
fof(f1193,plain,
( ~ spl53_182
| ~ spl53_67 ),
inference(avatar_split_clause,[],[f89,f605,f1190]) ).
fof(f605,plain,
( spl53_67
<=> hskp27 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_67])]) ).
fof(f89,axiom,
( ~ hskp27
| ~ c2_1(a2614) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).
fof(f1187,plain,
( spl53_43
| ~ spl53_181
| spl53_95
| ~ spl53_6 ),
inference(avatar_split_clause,[],[f210,f332,f734,f1184,f493]) ).
fof(f210,plain,
! [X1] :
( ~ ndr1_0
| c2_1(X1)
| ~ c3_1(X1)
| ~ sP2
| c1_1(X1)
| hskp29 ),
inference(general_splitting,[],[f182,f209_D]) ).
fof(f182,axiom,
! [X0,X1] :
( hskp29
| ~ c3_1(X1)
| c3_1(X0)
| c2_1(X1)
| ~ c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).
fof(f1177,plain,
( ~ spl53_54
| ~ spl53_179 ),
inference(avatar_split_clause,[],[f102,f1174,f543]) ).
fof(f102,axiom,
( ~ c1_1(a2548)
| ~ hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).
fof(f1170,plain,
( ~ spl53_5
| spl53_178 ),
inference(avatar_split_clause,[],[f62,f1167,f328]) ).
fof(f62,axiom,
( c1_1(a2551)
| ~ hskp21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).
fof(f1165,plain,
( ~ spl53_15
| spl53_177 ),
inference(avatar_split_clause,[],[f67,f1162,f370]) ).
fof(f67,axiom,
( c2_1(a2545)
| ~ hskp18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).
fof(f1153,plain,
( spl53_133
| spl53_175 ),
inference(avatar_split_clause,[],[f281,f1150,f922]) ).
fof(f1147,plain,
( ~ spl53_17
| spl53_174 ),
inference(avatar_split_clause,[],[f85,f1144,f379]) ).
fof(f85,axiom,
( c2_1(a2521)
| ~ hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
fof(f1141,plain,
( ~ spl53_173
| ~ spl53_75 ),
inference(avatar_split_clause,[],[f100,f640,f1138]) ).
fof(f100,axiom,
( ~ hskp20
| ~ c0_1(a2549) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
fof(f1136,plain,
( ~ spl53_6
| spl53_53
| ~ spl53_102
| spl53_157 ),
inference(avatar_split_clause,[],[f306,f1051,f765,f539,f332]) ).
fof(f765,plain,
( spl53_102
<=> sP50 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_102])]) ).
fof(f306,plain,
! [X1] :
( c2_1(X1)
| ~ sP50
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp6
| ~ ndr1_0 ),
inference(general_splitting,[],[f192,f305_D]) ).
fof(f305,plain,
! [X0] :
( sP50
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f305_D]) ).
fof(f305_D,plain,
( ! [X0] :
( ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) )
<=> ~ sP50 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP50])]) ).
fof(f192,axiom,
! [X0,X1] :
( ~ c3_1(X1)
| ~ c3_1(X0)
| c2_1(X1)
| ~ c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X1)
| hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause192) ).
fof(f1126,plain,
( ~ spl53_30
| ~ spl53_170 ),
inference(avatar_split_clause,[],[f129,f1123,f435]) ).
fof(f435,plain,
( spl53_30
<=> hskp3 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_30])]) ).
fof(f129,axiom,
( ~ c3_1(a2519)
| ~ hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).
fof(f1121,plain,
( spl53_110
| spl53_4 ),
inference(avatar_split_clause,[],[f217,f324,f805]) ).
fof(f805,plain,
( spl53_110
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_110])]) ).
fof(f217,plain,
! [X0] :
( ~ c0_1(X0)
| sP6
| c1_1(X0)
| c2_1(X0) ),
inference(cnf_transformation,[],[f217_D]) ).
fof(f217_D,plain,
( ! [X0] :
( ~ c0_1(X0)
| c1_1(X0)
| c2_1(X0) )
<=> ~ sP6 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP6])]) ).
fof(f1115,plain,
( spl53_168
| ~ spl53_53 ),
inference(avatar_split_clause,[],[f82,f539,f1112]) ).
fof(f82,axiom,
( ~ hskp6
| c1_1(a2523) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).
fof(f1110,plain,
( ~ spl53_71
| spl53_167 ),
inference(avatar_split_clause,[],[f71,f1107,f623]) ).
fof(f71,axiom,
( c1_1(a2534)
| ~ hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
fof(f1094,plain,
( ~ spl53_75
| ~ spl53_164 ),
inference(avatar_split_clause,[],[f101,f1091,f640]) ).
fof(f101,axiom,
( ~ c1_1(a2549)
| ~ hskp20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).
fof(f1089,plain,
( spl53_57
| spl53_67 ),
inference(avatar_split_clause,[],[f2,f605,f557]) ).
fof(f2,axiom,
( hskp27
| hskp23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
fof(f1087,plain,
( ~ spl53_53
| ~ spl53_163 ),
inference(avatar_split_clause,[],[f124,f1084,f539]) ).
fof(f124,axiom,
( ~ c3_1(a2523)
| ~ hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).
fof(f1082,plain,
( spl53_107
| spl53_104
| spl53_10
| ~ spl53_6 ),
inference(avatar_split_clause,[],[f155,f332,f348,f774,f789]) ).
fof(f155,axiom,
! [X0] :
( ~ ndr1_0
| c2_1(X0)
| ~ c0_1(X0)
| hskp30
| hskp9
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).
fof(f1076,plain,
( ~ spl53_161
| ~ spl53_34 ),
inference(avatar_split_clause,[],[f104,f454,f1073]) ).
fof(f104,axiom,
( ~ hskp17
| ~ c1_1(a2541) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).
fof(f1068,plain,
( ~ spl53_160
| ~ spl53_30 ),
inference(avatar_split_clause,[],[f128,f435,f1065]) ).
fof(f128,axiom,
( ~ hskp3
| ~ c2_1(a2519) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).
fof(f1063,plain,
( spl53_159
| spl53_100 ),
inference(avatar_split_clause,[],[f283,f757,f1060]) ).
fof(f1049,plain,
( ~ spl53_156
| ~ spl53_9 ),
inference(avatar_split_clause,[],[f93,f344,f1046]) ).
fof(f344,plain,
( spl53_9
<=> hskp25 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_9])]) ).
fof(f93,axiom,
( ~ hskp25
| ~ c2_1(a2564) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).
fof(f1044,plain,
( spl53_141
| spl53_122 ),
inference(avatar_split_clause,[],[f247,f864,f966]) ).
fof(f864,plain,
( spl53_122
<=> sP21 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_122])]) ).
fof(f247,plain,
! [X0] :
( sP21
| c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f247_D]) ).
fof(f247_D,plain,
( ! [X0] :
( c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) )
<=> ~ sP21 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP21])]) ).
fof(f1038,plain,
( ~ spl53_44
| spl53_154 ),
inference(avatar_split_clause,[],[f72,f1035,f498]) ).
fof(f72,axiom,
( c1_1(a2531)
| ~ hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).
fof(f1033,plain,
( ~ spl53_67
| spl53_6 ),
inference(avatar_split_clause,[],[f7,f332,f605]) ).
fof(f7,axiom,
( ndr1_0
| ~ hskp27 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).
fof(f1031,plain,
( spl53_131
| spl53_95 ),
inference(avatar_split_clause,[],[f261,f734,f912]) ).
fof(f912,plain,
( spl53_131
<=> sP28 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_131])]) ).
fof(f261,plain,
! [X2] :
( c1_1(X2)
| ~ c3_1(X2)
| c2_1(X2)
| sP28 ),
inference(cnf_transformation,[],[f261_D]) ).
fof(f261_D,plain,
( ! [X2] :
( c1_1(X2)
| ~ c3_1(X2)
| c2_1(X2) )
<=> ~ sP28 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP28])]) ).
fof(f1015,plain,
( ~ spl53_97
| ~ spl53_150 ),
inference(avatar_split_clause,[],[f131,f1012,f743]) ).
fof(f131,axiom,
( ~ c3_1(a2518)
| ~ hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).
fof(f1010,plain,
( ~ spl53_149
| ~ spl53_11 ),
inference(avatar_split_clause,[],[f94,f351,f1007]) ).
fof(f351,plain,
( spl53_11
<=> hskp24 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_11])]) ).
fof(f94,axiom,
( ~ hskp24
| ~ c1_1(a2555) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).
fof(f994,plain,
( spl53_146
| spl53_94 ),
inference(avatar_split_clause,[],[f215,f730,f991]) ).
fof(f989,plain,
( ~ spl53_145
| spl53_12
| ~ spl53_6
| spl53_65 ),
inference(avatar_split_clause,[],[f266,f595,f332,f356,f986]) ).
fof(f266,plain,
! [X1] :
( ~ c2_1(X1)
| ~ ndr1_0
| c0_1(X1)
| hskp0
| c1_1(X1)
| ~ sP30 ),
inference(general_splitting,[],[f176,f265_D]) ).
fof(f176,axiom,
! [X0,X1] :
( c1_1(X1)
| c2_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| c0_1(X1)
| hskp0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).
fof(f984,plain,
( ~ spl53_52
| spl53_144 ),
inference(avatar_split_clause,[],[f54,f981,f534]) ).
fof(f54,axiom,
( c0_1(a2601)
| ~ hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).
fof(f979,plain,
( ~ spl53_12
| ~ spl53_143 ),
inference(avatar_split_clause,[],[f136,f976,f356]) ).
fof(f136,axiom,
( ~ c2_1(a2516)
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).
fof(f962,plain,
( spl53_9
| ~ spl53_6
| spl53_27
| spl53_30 ),
inference(avatar_split_clause,[],[f151,f435,f423,f332,f344]) ).
fof(f151,axiom,
! [X0] :
( hskp3
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| c1_1(X0)
| hskp25 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).
fof(f960,plain,
( spl53_32
| spl53_116
| ~ spl53_119
| ~ spl53_6 ),
inference(avatar_split_clause,[],[f302,f332,f851,f837,f444]) ).
fof(f851,plain,
( spl53_119
<=> sP48 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_119])]) ).
fof(f302,plain,
! [X1] :
( ~ ndr1_0
| ~ sP48
| c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1)
| hskp16 ),
inference(general_splitting,[],[f186,f301_D]) ).
fof(f301,plain,
! [X0] :
( sP48
| c1_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f301_D]) ).
fof(f301_D,plain,
( ! [X0] :
( c1_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0) )
<=> ~ sP48 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP48])]) ).
fof(f186,axiom,
! [X0,X1] :
( hskp16
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X0)
| c1_1(X0)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause186) ).
fof(f959,plain,
( ~ spl53_140
| ~ spl53_26
| ~ spl53_6
| spl53_111 ),
inference(avatar_split_clause,[],[f272,f809,f332,f419,f956]) ).
fof(f419,plain,
( spl53_26
<=> sP33 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_26])]) ).
fof(f272,plain,
! [X1] :
( ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| c0_1(X1)
| ~ sP33
| ~ sP32 ),
inference(general_splitting,[],[f270,f271_D]) ).
fof(f271,plain,
! [X0] :
( c1_1(X0)
| sP33
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f271_D]) ).
fof(f271_D,plain,
( ! [X0] :
( c1_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) )
<=> ~ sP33 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP33])]) ).
fof(f270,plain,
! [X0,X1] :
( ~ c1_1(X1)
| c1_1(X0)
| ~ c2_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c0_1(X0)
| ~ c2_1(X1)
| ~ sP32 ),
inference(general_splitting,[],[f198,f269_D]) ).
fof(f198,axiom,
! [X2,X0,X1] :
( ~ c1_1(X1)
| c1_1(X0)
| c1_1(X2)
| ~ c2_1(X0)
| c0_1(X1)
| ~ ndr1_0
| c0_1(X2)
| ~ c0_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause198) ).
fof(f954,plain,
( ~ spl53_15
| spl53_139 ),
inference(avatar_split_clause,[],[f66,f951,f370]) ).
fof(f66,axiom,
( c1_1(a2545)
| ~ hskp18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).
fof(f949,plain,
( ~ spl53_11
| spl53_138 ),
inference(avatar_split_clause,[],[f57,f946,f351]) ).
fof(f57,axiom,
( c0_1(a2555)
| ~ hskp24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).
fof(f944,plain,
( ~ spl53_137
| ~ spl53_6
| ~ spl53_38
| spl53_27 ),
inference(avatar_split_clause,[],[f224,f423,f471,f332,f941]) ).
fof(f471,plain,
( spl53_38
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_38])]) ).
fof(f224,plain,
! [X1] :
( ~ c2_1(X1)
| ~ sP8
| c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ sP9 ),
inference(general_splitting,[],[f222,f223_D]) ).
fof(f222,plain,
! [X0,X1] :
( ~ ndr1_0
| ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X1)
| ~ c0_1(X1)
| c1_1(X1)
| ~ sP8 ),
inference(general_splitting,[],[f202,f221_D]) ).
fof(f221,plain,
! [X2] :
( sP8
| c0_1(X2)
| c2_1(X2)
| ~ c3_1(X2) ),
inference(cnf_transformation,[],[f221_D]) ).
fof(f221_D,plain,
( ! [X2] :
( c0_1(X2)
| c2_1(X2)
| ~ c3_1(X2) )
<=> ~ sP8 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP8])]) ).
fof(f202,axiom,
! [X2,X0,X1] :
( ~ ndr1_0
| c0_1(X2)
| ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0)
| c2_1(X2)
| ~ c3_1(X2)
| ~ c2_1(X1)
| ~ c0_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause202) ).
fof(f939,plain,
( ~ spl53_12
| ~ spl53_136 ),
inference(avatar_split_clause,[],[f135,f936,f356]) ).
fof(f135,axiom,
( ~ c1_1(a2516)
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).
fof(f929,plain,
( ~ spl53_75
| spl53_134 ),
inference(avatar_split_clause,[],[f63,f926,f640]) ).
fof(f63,axiom,
( c2_1(a2549)
| ~ hskp20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).
fof(f924,plain,
( ~ spl53_36
| spl53_97
| ~ spl53_6
| spl53_133 ),
inference(avatar_split_clause,[],[f304,f922,f332,f743,f463]) ).
fof(f463,plain,
( spl53_36
<=> sP49 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_36])]) ).
fof(f304,plain,
! [X1] :
( c0_1(X1)
| ~ ndr1_0
| c3_1(X1)
| c1_1(X1)
| hskp2
| ~ sP49 ),
inference(general_splitting,[],[f167,f303_D]) ).
fof(f303,plain,
! [X0] :
( c1_1(X0)
| ~ c2_1(X0)
| sP49
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f303_D]) ).
fof(f303_D,plain,
( ! [X0] :
( c1_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) )
<=> ~ sP49 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP49])]) ).
fof(f167,axiom,
! [X0,X1] :
( ~ c2_1(X0)
| c1_1(X1)
| c1_1(X0)
| c0_1(X1)
| ~ ndr1_0
| c3_1(X1)
| ~ c0_1(X0)
| hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).
fof(f920,plain,
( ~ spl53_17
| spl53_132 ),
inference(avatar_split_clause,[],[f86,f917,f379]) ).
fof(f86,axiom,
( c3_1(a2521)
| ~ hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
fof(f915,plain,
( ~ spl53_130
| ~ spl53_131
| ~ spl53_6
| spl53_121 ),
inference(avatar_split_clause,[],[f264,f860,f332,f912,f908]) ).
fof(f264,plain,
! [X1] :
( ~ c0_1(X1)
| ~ ndr1_0
| ~ sP28
| ~ c1_1(X1)
| c3_1(X1)
| ~ sP29 ),
inference(general_splitting,[],[f262,f263_D]) ).
fof(f262,plain,
! [X0,X1] :
( ~ c2_1(X0)
| ~ c1_1(X1)
| ~ ndr1_0
| c3_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c3_1(X0)
| ~ sP28 ),
inference(general_splitting,[],[f203,f261_D]) ).
fof(f203,axiom,
! [X2,X0,X1] :
( ~ c2_1(X0)
| ~ c1_1(X1)
| ~ ndr1_0
| c3_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c3_1(X0)
| c1_1(X2)
| ~ c3_1(X2)
| c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause203) ).
fof(f900,plain,
( ~ spl53_44
| spl53_128 ),
inference(avatar_split_clause,[],[f73,f897,f498]) ).
fof(f73,axiom,
( c2_1(a2531)
| ~ hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
fof(f895,plain,
( spl53_127
| ~ spl53_67 ),
inference(avatar_split_clause,[],[f53,f605,f892]) ).
fof(f53,axiom,
( ~ hskp27
| c1_1(a2614) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).
fof(f881,plain,
( ~ spl53_54
| spl53_125 ),
inference(avatar_split_clause,[],[f64,f878,f543]) ).
fof(f64,axiom,
( c0_1(a2548)
| ~ hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).
fof(f875,plain,
( ~ spl53_83
| ~ spl53_124 ),
inference(avatar_split_clause,[],[f108,f872,f677]) ).
fof(f108,axiom,
( ~ c0_1(a2539)
| ~ hskp15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).
fof(f870,plain,
( ~ spl53_122
| ~ spl53_6
| spl53_12
| spl53_123 ),
inference(avatar_split_clause,[],[f248,f868,f356,f332,f864]) ).
fof(f248,plain,
! [X1] :
( c0_1(X1)
| c1_1(X1)
| hskp0
| ~ ndr1_0
| ~ sP21
| c2_1(X1) ),
inference(general_splitting,[],[f166,f247_D]) ).
fof(f166,axiom,
! [X0,X1] :
( ~ c2_1(X0)
| ~ ndr1_0
| c2_1(X1)
| c1_1(X1)
| c0_1(X1)
| c1_1(X0)
| hskp0
| ~ c3_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).
fof(f862,plain,
( spl53_120
| spl53_121 ),
inference(avatar_split_clause,[],[f273,f860,f856]) ).
fof(f854,plain,
( spl53_27
| spl53_119 ),
inference(avatar_split_clause,[],[f301,f851,f423]) ).
fof(f849,plain,
( ~ spl53_28
| spl53_118 ),
inference(avatar_split_clause,[],[f78,f846,f427]) ).
fof(f427,plain,
( spl53_28
<=> hskp8 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_28])]) ).
fof(f78,axiom,
( c2_1(a2525)
| ~ hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).
fof(f844,plain,
( ~ spl53_60
| ~ spl53_117 ),
inference(avatar_split_clause,[],[f125,f841,f572]) ).
fof(f125,axiom,
( ~ c0_1(a2522)
| ~ hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).
fof(f839,plain,
( spl53_12
| ~ spl53_6
| spl53_83
| spl53_116 ),
inference(avatar_split_clause,[],[f149,f837,f677,f332,f356]) ).
fof(f149,axiom,
! [X0] :
( ~ c3_1(X0)
| hskp15
| ~ c1_1(X0)
| c0_1(X0)
| ~ ndr1_0
| hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).
fof(f834,plain,
( spl53_115
| ~ spl53_5 ),
inference(avatar_split_clause,[],[f61,f328,f831]) ).
fof(f61,axiom,
( ~ hskp21
| c0_1(a2551) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).
fof(f829,plain,
( ~ spl53_114
| ~ spl53_44 ),
inference(avatar_split_clause,[],[f118,f498,f826]) ).
fof(f118,axiom,
( ~ hskp11
| ~ c3_1(a2531) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).
fof(f817,plain,
( spl53_76
| spl53_112 ),
inference(avatar_split_clause,[],[f239,f814,f644]) ).
fof(f812,plain,
( spl53_17
| ~ spl53_6
| spl53_107
| spl53_2 ),
inference(avatar_split_clause,[],[f147,f316,f789,f332,f379]) ).
fof(f147,axiom,
! [X0] :
( c3_1(X0)
| hskp9
| c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X0)
| hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).
fof(f811,plain,
( spl53_71
| ~ spl53_6
| ~ spl53_110
| spl53_111 ),
inference(avatar_split_clause,[],[f218,f809,f805,f332,f623]) ).
fof(f218,plain,
! [X1] :
( c0_1(X1)
| ~ sP6
| ~ ndr1_0
| ~ c2_1(X1)
| hskp13
| ~ c1_1(X1) ),
inference(general_splitting,[],[f180,f217_D]) ).
fof(f180,axiom,
! [X0,X1] :
( ~ c0_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1)
| c1_1(X0)
| c0_1(X1)
| c2_1(X0)
| hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).
fof(f803,plain,
( spl53_109
| ~ spl53_60 ),
inference(avatar_split_clause,[],[f83,f572,f800]) ).
fof(f83,axiom,
( ~ hskp5
| c2_1(a2522) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).
fof(f798,plain,
( spl53_62
| spl53_100 ),
inference(avatar_split_clause,[],[f227,f757,f579]) ).
fof(f579,plain,
( spl53_62
<=> sP11 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_62])]) ).
fof(f227,plain,
! [X0] :
( ~ c2_1(X0)
| sP11
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f227_D]) ).
fof(f227_D,plain,
( ! [X0] :
( ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) )
<=> ~ sP11 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP11])]) ).
fof(f797,plain,
( ~ spl53_104
| spl53_108 ),
inference(avatar_split_clause,[],[f45,f794,f774]) ).
fof(f45,axiom,
( c1_1(a2558)
| ~ hskp30 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).
fof(f792,plain,
( ~ spl53_106
| ~ spl53_107 ),
inference(avatar_split_clause,[],[f121,f789,f785]) ).
fof(f121,axiom,
( ~ hskp9
| ~ c0_1(a2526) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).
fof(f783,plain,
( ~ spl53_28
| spl53_105 ),
inference(avatar_split_clause,[],[f77,f780,f427]) ).
fof(f77,axiom,
( c0_1(a2525)
| ~ hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).
fof(f778,plain,
( spl53_12
| spl53_11 ),
inference(avatar_split_clause,[],[f1,f351,f356]) ).
fof(f1,axiom,
( hskp24
| hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
fof(f777,plain,
( spl53_103
| ~ spl53_104 ),
inference(avatar_split_clause,[],[f46,f774,f770]) ).
fof(f46,axiom,
( ~ hskp30
| c2_1(a2558) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).
fof(f768,plain,
( spl53_101
| spl53_102 ),
inference(avatar_split_clause,[],[f305,f765,f762]) ).
fof(f759,plain,
( spl53_30
| ~ spl53_99
| ~ spl53_6
| spl53_100 ),
inference(avatar_split_clause,[],[f258,f757,f332,f753,f435]) ).
fof(f258,plain,
! [X1] :
( ~ c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ sP26
| hskp3
| ~ c1_1(X1) ),
inference(general_splitting,[],[f194,f257_D]) ).
fof(f194,axiom,
! [X0,X1] :
( ~ c2_1(X0)
| ~ c0_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X1)
| hskp3
| ~ c0_1(X0)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause194) ).
fof(f751,plain,
( ~ spl53_98
| ~ spl53_71 ),
inference(avatar_split_clause,[],[f113,f623,f748]) ).
fof(f113,axiom,
( ~ hskp13
| ~ c0_1(a2534) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).
fof(f741,plain,
( ~ spl53_28
| ~ spl53_96 ),
inference(avatar_split_clause,[],[f122,f738,f427]) ).
fof(f122,axiom,
( ~ c3_1(a2525)
| ~ hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).
fof(f736,plain,
( ~ spl53_59
| spl53_11
| ~ spl53_6
| spl53_95 ),
inference(avatar_split_clause,[],[f232,f734,f332,f351,f567]) ).
fof(f567,plain,
( spl53_59
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_59])]) ).
fof(f232,plain,
! [X1] :
( ~ c3_1(X1)
| ~ ndr1_0
| hskp24
| c1_1(X1)
| c2_1(X1)
| ~ sP13 ),
inference(general_splitting,[],[f173,f231_D]) ).
fof(f231,plain,
! [X0] :
( c2_1(X0)
| sP13
| c3_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f231_D]) ).
fof(f231_D,plain,
( ! [X0] :
( c2_1(X0)
| c3_1(X0)
| ~ c0_1(X0) )
<=> ~ sP13 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP13])]) ).
fof(f173,axiom,
! [X0,X1] :
( c2_1(X0)
| c2_1(X1)
| c1_1(X1)
| ~ ndr1_0
| hskp24
| ~ c3_1(X1)
| ~ c0_1(X0)
| c3_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).
fof(f724,plain,
( ~ spl53_92
| ~ spl53_30 ),
inference(avatar_split_clause,[],[f127,f435,f721]) ).
fof(f127,axiom,
( ~ hskp3
| ~ c0_1(a2519) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).
fof(f719,plain,
( ~ spl53_9
| spl53_91 ),
inference(avatar_split_clause,[],[f56,f716,f344]) ).
fof(f56,axiom,
( c0_1(a2564)
| ~ hskp25 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).
fof(f684,plain,
( ~ spl53_83
| spl53_84 ),
inference(avatar_split_clause,[],[f70,f681,f677]) ).
fof(f70,axiom,
( c3_1(a2539)
| ~ hskp15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).
fof(f675,plain,
( ~ spl53_82
| ~ spl53_57 ),
inference(avatar_split_clause,[],[f95,f557,f672]) ).
fof(f95,axiom,
( ~ hskp23
| ~ c1_1(a2553) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).
fof(f665,plain,
( ~ spl53_52
| spl53_80 ),
inference(avatar_split_clause,[],[f55,f662,f534]) ).
fof(f55,axiom,
( c3_1(a2601)
| ~ hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).
fof(f660,plain,
( ~ spl53_79
| ~ spl53_12 ),
inference(avatar_split_clause,[],[f134,f356,f657]) ).
fof(f134,axiom,
( ~ hskp0
| ~ c0_1(a2516) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).
fof(f655,plain,
( ~ spl53_6
| spl53_17
| spl53_78
| spl53_71 ),
inference(avatar_split_clause,[],[f140,f623,f653,f379,f332]) ).
fof(f140,axiom,
! [X0] :
( hskp13
| c0_1(X0)
| c3_1(X0)
| hskp4
| ~ ndr1_0
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).
fof(f651,plain,
( spl53_77
| ~ spl53_11 ),
inference(avatar_split_clause,[],[f58,f351,f648]) ).
fof(f58,axiom,
( ~ hskp24
| c2_1(a2555) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).
fof(f630,plain,
( ~ spl53_6
| spl53_72
| spl53_13
| spl53_30 ),
inference(avatar_split_clause,[],[f139,f435,f361,f628,f332]) ).
fof(f139,axiom,
! [X0] :
( hskp3
| hskp28
| ~ c1_1(X0)
| c0_1(X0)
| ~ ndr1_0
| c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).
fof(f612,plain,
( ~ spl53_67
| ~ spl53_68 ),
inference(avatar_split_clause,[],[f90,f609,f605]) ).
fof(f90,axiom,
( ~ c3_1(a2614)
| ~ hskp27 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).
fof(f603,plain,
( ~ spl53_9
| ~ spl53_66 ),
inference(avatar_split_clause,[],[f92,f600,f344]) ).
fof(f92,axiom,
( ~ c1_1(a2564)
| ~ hskp25 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).
fof(f582,plain,
( ~ spl53_6
| spl53_60
| spl53_61
| ~ spl53_62 ),
inference(avatar_split_clause,[],[f228,f579,f576,f572,f332]) ).
fof(f228,plain,
! [X1] :
( ~ sP11
| c1_1(X1)
| c0_1(X1)
| ~ c3_1(X1)
| hskp5
| ~ ndr1_0 ),
inference(general_splitting,[],[f185,f227_D]) ).
fof(f185,axiom,
! [X0,X1] :
( ~ c3_1(X1)
| hskp5
| ~ ndr1_0
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0)
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).
fof(f570,plain,
( spl53_59
| spl53_2 ),
inference(avatar_split_clause,[],[f231,f316,f567]) ).
fof(f565,plain,
( ~ spl53_13
| spl53_58 ),
inference(avatar_split_clause,[],[f50,f562,f361]) ).
fof(f50,axiom,
( c0_1(a2529)
| ~ hskp28 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).
fof(f546,plain,
( spl53_53
| spl53_54
| spl53_32 ),
inference(avatar_split_clause,[],[f38,f444,f543,f539]) ).
fof(f38,axiom,
( hskp16
| hskp19
| hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).
fof(f515,plain,
( ~ spl53_32
| spl53_47 ),
inference(avatar_split_clause,[],[f69,f512,f444]) ).
fof(f69,axiom,
( c0_1(a2540)
| ~ hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).
fof(f474,plain,
( spl53_37
| spl53_38 ),
inference(avatar_split_clause,[],[f221,f471,f468]) ).
fof(f466,plain,
( spl53_36
| spl53_27 ),
inference(avatar_split_clause,[],[f303,f423,f463]) ).
fof(f461,plain,
( ~ spl53_34
| spl53_35 ),
inference(avatar_split_clause,[],[f68,f458,f454]) ).
fof(f68,axiom,
( c3_1(a2541)
| ~ hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).
fof(f447,plain,
( ~ spl53_31
| ~ spl53_32 ),
inference(avatar_split_clause,[],[f107,f444,f440]) ).
fof(f107,axiom,
( ~ hskp16
| ~ c3_1(a2540) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).
fof(f433,plain,
( ~ spl53_3
| spl53_28
| ~ spl53_6
| spl53_29 ),
inference(avatar_split_clause,[],[f246,f431,f332,f427,f320]) ).
fof(f320,plain,
( spl53_3
<=> sP20 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_3])]) ).
fof(f246,plain,
! [X1] :
( c2_1(X1)
| ~ ndr1_0
| c0_1(X1)
| hskp8
| ~ sP20
| c3_1(X1) ),
inference(general_splitting,[],[f163,f245_D]) ).
fof(f245,plain,
! [X0] :
( c1_1(X0)
| sP20
| ~ c0_1(X0)
| c2_1(X0) ),
inference(cnf_transformation,[],[f245_D]) ).
fof(f245_D,plain,
( ! [X0] :
( c1_1(X0)
| ~ c0_1(X0)
| c2_1(X0) )
<=> ~ sP20 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP20])]) ).
fof(f163,axiom,
! [X0,X1] :
( c1_1(X0)
| c2_1(X0)
| c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X0)
| c0_1(X1)
| hskp8
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).
fof(f425,plain,
( spl53_26
| spl53_27 ),
inference(avatar_split_clause,[],[f271,f423,f419]) ).
fof(f417,plain,
( ~ spl53_5
| ~ spl53_25 ),
inference(avatar_split_clause,[],[f99,f414,f328]) ).
fof(f99,axiom,
( ~ c2_1(a2551)
| ~ hskp21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).
fof(f368,plain,
( ~ spl53_13
| spl53_14 ),
inference(avatar_split_clause,[],[f51,f365,f361]) ).
fof(f51,axiom,
( c2_1(a2529)
| ~ hskp28 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).
fof(f326,plain,
( spl53_3
| spl53_4 ),
inference(avatar_split_clause,[],[f245,f324,f320]) ).
fof(f318,plain,
( spl53_1
| spl53_2 ),
inference(avatar_split_clause,[],[f275,f316,f312]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYN489-1 : TPTP v8.1.0. Released v2.1.0.
% 0.04/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n010.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 21:53:13 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.49 % (8625)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.49 % (8617)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.49 % (8613)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50 % (8609)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (8621)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.50 % (8615)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.51 Detected maximum model sizes of [32]
% 0.19/0.51 TRYING [1]
% 0.19/0.51 TRYING [2]
% 0.19/0.51 % (8629)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.51 TRYING [3]
% 0.19/0.52 % (8605)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.52 % (8607)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (8618)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.52 % (8608)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.52 % (8614)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52 % (8603)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.52 % (8616)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53 TRYING [4]
% 0.19/0.53 % (8628)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.53 % (8604)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53 % (8630)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.49/0.53 % (8620)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.49/0.53 % (8606)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.49/0.53 % (8631)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.49/0.53 % (8632)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.49/0.54 % (8610)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.49/0.54 % (8623)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.49/0.54 % (8612)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.49/0.54 % (8619)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.49/0.54 % (8624)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.49/0.54 % (8622)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.49/0.54 % (8626)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.49/0.54 % (8627)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.49/0.55 % (8611)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.49/0.55 % (8611)Instruction limit reached!
% 1.49/0.55 % (8611)------------------------------
% 1.49/0.55 % (8611)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.55 % (8611)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.55 % (8611)Termination reason: Unknown
% 1.49/0.55 % (8611)Termination phase: Blocked clause elimination
% 1.49/0.55
% 1.49/0.55 % (8611)Memory used [KB]: 1151
% 1.49/0.55 % (8611)Time elapsed: 0.002 s
% 1.49/0.55 % (8611)Instructions burned: 2 (million)
% 1.49/0.55 % (8611)------------------------------
% 1.49/0.55 % (8611)------------------------------
% 1.62/0.55 % (8610)Instruction limit reached!
% 1.62/0.55 % (8610)------------------------------
% 1.62/0.55 % (8610)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.55 Detected maximum model sizes of [32]
% 1.62/0.55 TRYING [1]
% 1.62/0.55 TRYING [2]
% 1.62/0.55 % (8610)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.55 % (8610)Termination reason: Unknown
% 1.62/0.55 % (8610)Termination phase: Saturation
% 1.62/0.55
% 1.62/0.55 % (8610)Memory used [KB]: 6012
% 1.62/0.55 % (8610)Time elapsed: 0.158 s
% 1.62/0.55 % (8610)Instructions burned: 7 (million)
% 1.62/0.55 % (8610)------------------------------
% 1.62/0.55 % (8610)------------------------------
% 1.62/0.55 TRYING [3]
% 1.62/0.56 Detected maximum model sizes of [32]
% 1.62/0.56 % (8613)First to succeed.
% 1.62/0.57 TRYING [1]
% 1.62/0.57 TRYING [2]
% 1.62/0.57 TRYING [3]
% 1.62/0.57 % (8609)Instruction limit reached!
% 1.62/0.57 % (8609)------------------------------
% 1.62/0.57 % (8609)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.57 % (8609)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.57 % (8609)Termination reason: Unknown
% 1.62/0.57 % (8609)Termination phase: Finite model building SAT solving
% 1.62/0.57
% 1.62/0.57 % (8609)Memory used [KB]: 6268
% 1.62/0.57 % (8609)Time elapsed: 0.106 s
% 1.62/0.57 % (8609)Instructions burned: 51 (million)
% 1.62/0.57 % (8609)------------------------------
% 1.62/0.57 % (8609)------------------------------
% 1.62/0.57 TRYING [4]
% 1.62/0.58 % (8613)Refutation found. Thanks to Tanya!
% 1.62/0.58 % SZS status Unsatisfiable for theBenchmark
% 1.62/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.62/0.58 % (8613)------------------------------
% 1.62/0.58 % (8613)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.58 % (8613)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.58 % (8613)Termination reason: Refutation
% 1.62/0.58
% 1.62/0.58 % (8613)Memory used [KB]: 6908
% 1.62/0.58 % (8613)Time elapsed: 0.162 s
% 1.62/0.58 % (8613)Instructions burned: 41 (million)
% 1.62/0.58 % (8613)------------------------------
% 1.62/0.58 % (8613)------------------------------
% 1.62/0.58 % (8602)Success in time 0.235 s
%------------------------------------------------------------------------------