TSTP Solution File: SWV176+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV176+1 : TPTP v8.2.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n005.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 : Tue May 21 06:13:40 EDT 2024
% Result : Theorem 0.22s 0.42s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 240
% Syntax : Number of formulae : 682 ( 239 unt; 0 def)
% Number of atoms : 1925 ( 242 equ)
% Maximal formula atoms : 37 ( 2 avg)
% Number of connectives : 1938 ( 695 ~; 610 |; 408 &)
% ( 162 <=>; 63 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 176 ( 174 usr; 161 prp; 0-2 aty)
% Number of functors : 57 ( 57 usr; 24 con; 0-3 aty)
% Number of variables : 793 ( 699 !; 94 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1522,plain,
$false,
inference(avatar_sat_refutation,[],[f484,f489,f494,f499,f504,f509,f514,f519,f523,f530,f538,f543,f548,f553,f558,f563,f568,f573,f578,f583,f588,f593,f598,f603,f608,f613,f618,f623,f628,f633,f638,f643,f648,f653,f662,f667,f672,f677,f682,f687,f692,f696,f700,f705,f711,f715,f721,f729,f737,f745,f754,f763,f768,f772,f777,f782,f787,f792,f802,f808,f830,f835,f840,f844,f885,f889,f893,f914,f921,f925,f930,f935,f940,f944,f949,f953,f958,f962,f967,f972,f976,f981,f985,f990,f994,f998,f1003,f1007,f1012,f1016,f1021,f1025,f1030,f1034,f1039,f1043,f1048,f1052,f1057,f1061,f1067,f1071,f1075,f1080,f1084,f1089,f1093,f1098,f1102,f1107,f1111,f1116,f1120,f1125,f1129,f1134,f1138,f1143,f1147,f1152,f1156,f1161,f1165,f1169,f1173,f1177,f1181,f1185,f1189,f1193,f1197,f1201,f1209,f1217,f1225,f1233,f1242,f1246,f1254,f1262,f1270,f1278,f1286,f1294,f1302,f1310,f1318,f1327,f1335,f1343,f1351,f1359,f1364,f1372,f1380,f1388,f1396,f1520,f1521]) ).
fof(f1521,plain,
( ~ spl41_7
| spl41_8
| ~ spl41_6
| ~ spl41_48 ),
inference(avatar_split_clause,[],[f724,f719,f506,f516,f511]) ).
fof(f511,plain,
( spl41_7
<=> leq(sK13,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_7])]) ).
fof(f516,plain,
( spl41_8
<=> init = a_select2(muold_init,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_8])]) ).
fof(f506,plain,
( spl41_6
<=> leq(n0,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_6])]) ).
fof(f719,plain,
( spl41_48
<=> ! [X3] :
( init = a_select2(muold_init,X3)
| ~ leq(n0,X3)
| ~ leq(X3,n4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_48])]) ).
fof(f724,plain,
( init = a_select2(muold_init,sK13)
| ~ leq(sK13,n4)
| ~ spl41_6
| ~ spl41_48 ),
inference(resolution,[],[f720,f508]) ).
fof(f508,plain,
( leq(n0,sK13)
| ~ spl41_6 ),
inference(avatar_component_clause,[],[f506]) ).
fof(f720,plain,
( ! [X3] :
( ~ leq(n0,X3)
| init = a_select2(muold_init,X3)
| ~ leq(X3,n4) )
| ~ spl41_48 ),
inference(avatar_component_clause,[],[f719]) ).
fof(f1520,plain,
( ~ spl41_3
| spl41_160
| ~ spl41_1
| ~ spl41_48 ),
inference(avatar_split_clause,[],[f722,f719,f481,f1517,f491]) ).
fof(f491,plain,
( spl41_3
<=> leq(pv40,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_3])]) ).
fof(f1517,plain,
( spl41_160
<=> init = a_select2(muold_init,pv40) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_160])]) ).
fof(f481,plain,
( spl41_1
<=> leq(n0,pv40) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_1])]) ).
fof(f722,plain,
( init = a_select2(muold_init,pv40)
| ~ leq(pv40,n4)
| ~ spl41_1
| ~ spl41_48 ),
inference(resolution,[],[f720,f483]) ).
fof(f483,plain,
( leq(n0,pv40)
| ~ spl41_1 ),
inference(avatar_component_clause,[],[f481]) ).
fof(f1396,plain,
( spl41_159
| ~ spl41_62
| ~ spl41_123 ),
inference(avatar_split_clause,[],[f1157,f1154,f805,f1394]) ).
fof(f1394,plain,
( spl41_159
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK40(X0,X1))
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_159])]) ).
fof(f805,plain,
( spl41_62
<=> n0 = tptp_float_0_0 ),
introduced(avatar_definition,[new_symbols(naming,[spl41_62])]) ).
fof(f1154,plain,
( spl41_123
<=> ! [X0,X1] :
( leq(n0,sK40(X0,X1))
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_123])]) ).
fof(f1157,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK40(X0,X1))
| ~ sP10(X0,X1) )
| ~ spl41_62
| ~ spl41_123 ),
inference(forward_demodulation,[],[f1155,f807]) ).
fof(f807,plain,
( n0 = tptp_float_0_0
| ~ spl41_62 ),
inference(avatar_component_clause,[],[f805]) ).
fof(f1155,plain,
( ! [X0,X1] :
( leq(n0,sK40(X0,X1))
| ~ sP10(X0,X1) )
| ~ spl41_123 ),
inference(avatar_component_clause,[],[f1154]) ).
fof(f1388,plain,
( spl41_158
| ~ spl41_62
| ~ spl41_121 ),
inference(avatar_split_clause,[],[f1148,f1145,f805,f1386]) ).
fof(f1386,plain,
( spl41_158
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK39(X0,X1))
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_158])]) ).
fof(f1145,plain,
( spl41_121
<=> ! [X0,X1] :
( leq(n0,sK39(X0,X1))
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_121])]) ).
fof(f1148,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK39(X0,X1))
| ~ sP10(X0,X1) )
| ~ spl41_62
| ~ spl41_121 ),
inference(forward_demodulation,[],[f1146,f807]) ).
fof(f1146,plain,
( ! [X0,X1] :
( leq(n0,sK39(X0,X1))
| ~ sP10(X0,X1) )
| ~ spl41_121 ),
inference(avatar_component_clause,[],[f1145]) ).
fof(f1380,plain,
( spl41_157
| ~ spl41_62
| ~ spl41_119 ),
inference(avatar_split_clause,[],[f1139,f1136,f805,f1378]) ).
fof(f1378,plain,
( spl41_157
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK38(X0,X1))
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_157])]) ).
fof(f1136,plain,
( spl41_119
<=> ! [X0,X1] :
( leq(n0,sK38(X0,X1))
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_119])]) ).
fof(f1139,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK38(X0,X1))
| ~ sP11(X0,X1) )
| ~ spl41_62
| ~ spl41_119 ),
inference(forward_demodulation,[],[f1137,f807]) ).
fof(f1137,plain,
( ! [X0,X1] :
( leq(n0,sK38(X0,X1))
| ~ sP11(X0,X1) )
| ~ spl41_119 ),
inference(avatar_component_clause,[],[f1136]) ).
fof(f1372,plain,
( spl41_156
| ~ spl41_62
| ~ spl41_117 ),
inference(avatar_split_clause,[],[f1130,f1127,f805,f1370]) ).
fof(f1370,plain,
( spl41_156
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK37(X0,X1))
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_156])]) ).
fof(f1127,plain,
( spl41_117
<=> ! [X0,X1] :
( leq(n0,sK37(X0,X1))
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_117])]) ).
fof(f1130,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK37(X0,X1))
| ~ sP11(X0,X1) )
| ~ spl41_62
| ~ spl41_117 ),
inference(forward_demodulation,[],[f1128,f807]) ).
fof(f1128,plain,
( ! [X0,X1] :
( leq(n0,sK37(X0,X1))
| ~ sP11(X0,X1) )
| ~ spl41_117 ),
inference(avatar_component_clause,[],[f1127]) ).
fof(f1364,plain,
( ~ spl41_155
| spl41_52
| ~ spl41_62 ),
inference(avatar_split_clause,[],[f1319,f805,f747,f1361]) ).
fof(f1361,plain,
( spl41_155
<=> init = a_select2(rho_init,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_155])]) ).
fof(f747,plain,
( spl41_52
<=> init = a_select2(rho_init,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_52])]) ).
fof(f1319,plain,
( init != a_select2(rho_init,tptp_float_0_0)
| spl41_52
| ~ spl41_62 ),
inference(superposition,[],[f748,f807]) ).
fof(f748,plain,
( init != a_select2(rho_init,n0)
| spl41_52 ),
inference(avatar_component_clause,[],[f747]) ).
fof(f1359,plain,
( spl41_154
| ~ spl41_62
| ~ spl41_115 ),
inference(avatar_split_clause,[],[f1121,f1118,f805,f1357]) ).
fof(f1357,plain,
( spl41_154
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK36(X0,X1))
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_154])]) ).
fof(f1118,plain,
( spl41_115
<=> ! [X0,X1] :
( leq(n0,sK36(X0,X1))
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_115])]) ).
fof(f1121,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK36(X0,X1))
| ~ sP12(X0,X1) )
| ~ spl41_62
| ~ spl41_115 ),
inference(forward_demodulation,[],[f1119,f807]) ).
fof(f1119,plain,
( ! [X0,X1] :
( leq(n0,sK36(X0,X1))
| ~ sP12(X0,X1) )
| ~ spl41_115 ),
inference(avatar_component_clause,[],[f1118]) ).
fof(f1351,plain,
( spl41_153
| ~ spl41_62
| ~ spl41_113 ),
inference(avatar_split_clause,[],[f1112,f1109,f805,f1349]) ).
fof(f1349,plain,
( spl41_153
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK35(X0,X1))
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_153])]) ).
fof(f1109,plain,
( spl41_113
<=> ! [X0,X1] :
( leq(n0,sK35(X0,X1))
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_113])]) ).
fof(f1112,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK35(X0,X1))
| ~ sP12(X0,X1) )
| ~ spl41_62
| ~ spl41_113 ),
inference(forward_demodulation,[],[f1110,f807]) ).
fof(f1110,plain,
( ! [X0,X1] :
( leq(n0,sK35(X0,X1))
| ~ sP12(X0,X1) )
| ~ spl41_113 ),
inference(avatar_component_clause,[],[f1109]) ).
fof(f1343,plain,
( spl41_152
| ~ spl41_62
| ~ spl41_111 ),
inference(avatar_split_clause,[],[f1103,f1100,f805,f1341]) ).
fof(f1341,plain,
( spl41_152
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK32(X0,X1))
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_152])]) ).
fof(f1100,plain,
( spl41_111
<=> ! [X0,X1] :
( leq(n0,sK32(X0,X1))
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_111])]) ).
fof(f1103,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK32(X0,X1))
| ~ sP8(X0,X1) )
| ~ spl41_62
| ~ spl41_111 ),
inference(forward_demodulation,[],[f1101,f807]) ).
fof(f1101,plain,
( ! [X0,X1] :
( leq(n0,sK32(X0,X1))
| ~ sP8(X0,X1) )
| ~ spl41_111 ),
inference(avatar_component_clause,[],[f1100]) ).
fof(f1335,plain,
( spl41_151
| ~ spl41_62
| ~ spl41_109 ),
inference(avatar_split_clause,[],[f1094,f1091,f805,f1333]) ).
fof(f1333,plain,
( spl41_151
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK31(X0,X1))
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_151])]) ).
fof(f1091,plain,
( spl41_109
<=> ! [X0,X1] :
( leq(n0,sK31(X0,X1))
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_109])]) ).
fof(f1094,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK31(X0,X1))
| ~ sP8(X0,X1) )
| ~ spl41_62
| ~ spl41_109 ),
inference(forward_demodulation,[],[f1092,f807]) ).
fof(f1092,plain,
( ! [X0,X1] :
( leq(n0,sK31(X0,X1))
| ~ sP8(X0,X1) )
| ~ spl41_109 ),
inference(avatar_component_clause,[],[f1091]) ).
fof(f1327,plain,
( spl41_150
| ~ spl41_62
| ~ spl41_107 ),
inference(avatar_split_clause,[],[f1085,f1082,f805,f1325]) ).
fof(f1325,plain,
( spl41_150
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK29(X0,X1))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_150])]) ).
fof(f1082,plain,
( spl41_107
<=> ! [X0,X1] :
( leq(n0,sK29(X0,X1))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_107])]) ).
fof(f1085,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK29(X0,X1))
| ~ sP7(X0,X1) )
| ~ spl41_62
| ~ spl41_107 ),
inference(forward_demodulation,[],[f1083,f807]) ).
fof(f1083,plain,
( ! [X0,X1] :
( leq(n0,sK29(X0,X1))
| ~ sP7(X0,X1) )
| ~ spl41_107 ),
inference(avatar_component_clause,[],[f1082]) ).
fof(f1318,plain,
( spl41_149
| ~ spl41_62
| ~ spl41_105 ),
inference(avatar_split_clause,[],[f1076,f1073,f805,f1316]) ).
fof(f1316,plain,
( spl41_149
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK28(X0,X1))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_149])]) ).
fof(f1073,plain,
( spl41_105
<=> ! [X0,X1] :
( leq(n0,sK28(X0,X1))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_105])]) ).
fof(f1076,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK28(X0,X1))
| ~ sP7(X0,X1) )
| ~ spl41_62
| ~ spl41_105 ),
inference(forward_demodulation,[],[f1074,f807]) ).
fof(f1074,plain,
( ! [X0,X1] :
( leq(n0,sK28(X0,X1))
| ~ sP7(X0,X1) )
| ~ spl41_105 ),
inference(avatar_component_clause,[],[f1073]) ).
fof(f1310,plain,
( spl41_148
| ~ spl41_62
| ~ spl41_102 ),
inference(avatar_split_clause,[],[f1062,f1059,f805,f1308]) ).
fof(f1308,plain,
( spl41_148
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK27(X0,X1))
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_148])]) ).
fof(f1059,plain,
( spl41_102
<=> ! [X0,X1] :
( leq(n0,sK27(X0,X1))
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_102])]) ).
fof(f1062,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK27(X0,X1))
| ~ sP5(X0,X1) )
| ~ spl41_62
| ~ spl41_102 ),
inference(forward_demodulation,[],[f1060,f807]) ).
fof(f1060,plain,
( ! [X0,X1] :
( leq(n0,sK27(X0,X1))
| ~ sP5(X0,X1) )
| ~ spl41_102 ),
inference(avatar_component_clause,[],[f1059]) ).
fof(f1302,plain,
( spl41_147
| ~ spl41_62
| ~ spl41_100 ),
inference(avatar_split_clause,[],[f1053,f1050,f805,f1300]) ).
fof(f1300,plain,
( spl41_147
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK26(X0,X1))
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_147])]) ).
fof(f1050,plain,
( spl41_100
<=> ! [X0,X1] :
( leq(n0,sK26(X0,X1))
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_100])]) ).
fof(f1053,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK26(X0,X1))
| ~ sP5(X0,X1) )
| ~ spl41_62
| ~ spl41_100 ),
inference(forward_demodulation,[],[f1051,f807]) ).
fof(f1051,plain,
( ! [X0,X1] :
( leq(n0,sK26(X0,X1))
| ~ sP5(X0,X1) )
| ~ spl41_100 ),
inference(avatar_component_clause,[],[f1050]) ).
fof(f1294,plain,
( spl41_146
| ~ spl41_62
| ~ spl41_98 ),
inference(avatar_split_clause,[],[f1044,f1041,f805,f1292]) ).
fof(f1292,plain,
( spl41_146
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK25(X0,X1))
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_146])]) ).
fof(f1041,plain,
( spl41_98
<=> ! [X0,X1] :
( leq(n0,sK25(X0,X1))
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_98])]) ).
fof(f1044,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK25(X0,X1))
| ~ sP6(X0,X1) )
| ~ spl41_62
| ~ spl41_98 ),
inference(forward_demodulation,[],[f1042,f807]) ).
fof(f1042,plain,
( ! [X0,X1] :
( leq(n0,sK25(X0,X1))
| ~ sP6(X0,X1) )
| ~ spl41_98 ),
inference(avatar_component_clause,[],[f1041]) ).
fof(f1286,plain,
( spl41_145
| ~ spl41_62
| ~ spl41_96 ),
inference(avatar_split_clause,[],[f1035,f1032,f805,f1284]) ).
fof(f1284,plain,
( spl41_145
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK24(X0,X1))
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_145])]) ).
fof(f1032,plain,
( spl41_96
<=> ! [X0,X1] :
( leq(n0,sK24(X0,X1))
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_96])]) ).
fof(f1035,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK24(X0,X1))
| ~ sP6(X0,X1) )
| ~ spl41_62
| ~ spl41_96 ),
inference(forward_demodulation,[],[f1033,f807]) ).
fof(f1033,plain,
( ! [X0,X1] :
( leq(n0,sK24(X0,X1))
| ~ sP6(X0,X1) )
| ~ spl41_96 ),
inference(avatar_component_clause,[],[f1032]) ).
fof(f1278,plain,
( spl41_144
| ~ spl41_62
| ~ spl41_94 ),
inference(avatar_split_clause,[],[f1026,f1023,f805,f1276]) ).
fof(f1276,plain,
( spl41_144
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK23(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_144])]) ).
fof(f1023,plain,
( spl41_94
<=> ! [X0,X1] :
( leq(n0,sK23(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_94])]) ).
fof(f1026,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK23(X0,X1))
| ~ sP3(X0,X1) )
| ~ spl41_62
| ~ spl41_94 ),
inference(forward_demodulation,[],[f1024,f807]) ).
fof(f1024,plain,
( ! [X0,X1] :
( leq(n0,sK23(X0,X1))
| ~ sP3(X0,X1) )
| ~ spl41_94 ),
inference(avatar_component_clause,[],[f1023]) ).
fof(f1270,plain,
( spl41_143
| ~ spl41_62
| ~ spl41_92 ),
inference(avatar_split_clause,[],[f1017,f1014,f805,f1268]) ).
fof(f1268,plain,
( spl41_143
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK22(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_143])]) ).
fof(f1014,plain,
( spl41_92
<=> ! [X0,X1] :
( leq(n0,sK22(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_92])]) ).
fof(f1017,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK22(X0,X1))
| ~ sP3(X0,X1) )
| ~ spl41_62
| ~ spl41_92 ),
inference(forward_demodulation,[],[f1015,f807]) ).
fof(f1015,plain,
( ! [X0,X1] :
( leq(n0,sK22(X0,X1))
| ~ sP3(X0,X1) )
| ~ spl41_92 ),
inference(avatar_component_clause,[],[f1014]) ).
fof(f1262,plain,
( spl41_142
| ~ spl41_62
| ~ spl41_90 ),
inference(avatar_split_clause,[],[f1008,f1005,f805,f1260]) ).
fof(f1260,plain,
( spl41_142
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK21(X0,X1))
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_142])]) ).
fof(f1005,plain,
( spl41_90
<=> ! [X0,X1] :
( leq(n0,sK21(X0,X1))
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_90])]) ).
fof(f1008,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK21(X0,X1))
| ~ sP4(X0,X1) )
| ~ spl41_62
| ~ spl41_90 ),
inference(forward_demodulation,[],[f1006,f807]) ).
fof(f1006,plain,
( ! [X0,X1] :
( leq(n0,sK21(X0,X1))
| ~ sP4(X0,X1) )
| ~ spl41_90 ),
inference(avatar_component_clause,[],[f1005]) ).
fof(f1254,plain,
( spl41_141
| ~ spl41_62
| ~ spl41_88 ),
inference(avatar_split_clause,[],[f999,f996,f805,f1252]) ).
fof(f1252,plain,
( spl41_141
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK20(X0,X1))
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_141])]) ).
fof(f996,plain,
( spl41_88
<=> ! [X0,X1] :
( leq(n0,sK20(X0,X1))
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_88])]) ).
fof(f999,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK20(X0,X1))
| ~ sP4(X0,X1) )
| ~ spl41_62
| ~ spl41_88 ),
inference(forward_demodulation,[],[f997,f807]) ).
fof(f997,plain,
( ! [X0,X1] :
( leq(n0,sK20(X0,X1))
| ~ sP4(X0,X1) )
| ~ spl41_88 ),
inference(avatar_component_clause,[],[f996]) ).
fof(f1246,plain,
( spl41_140
| ~ spl41_62
| ~ spl41_85 ),
inference(avatar_split_clause,[],[f986,f983,f805,f1244]) ).
fof(f1244,plain,
( spl41_140
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK19(X0,X1))
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_140])]) ).
fof(f983,plain,
( spl41_85
<=> ! [X0,X1] :
( leq(n0,sK19(X0,X1))
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_85])]) ).
fof(f986,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK19(X0,X1))
| ~ sP2(X0,X1) )
| ~ spl41_62
| ~ spl41_85 ),
inference(forward_demodulation,[],[f984,f807]) ).
fof(f984,plain,
( ! [X0,X1] :
( leq(n0,sK19(X0,X1))
| ~ sP2(X0,X1) )
| ~ spl41_85 ),
inference(avatar_component_clause,[],[f983]) ).
fof(f1242,plain,
( ~ spl41_139
| spl41_53
| ~ spl41_62 ),
inference(avatar_split_clause,[],[f825,f805,f751,f1239]) ).
fof(f1239,plain,
( spl41_139
<=> leq(tptp_float_0_0,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_139])]) ).
fof(f751,plain,
( spl41_53
<=> leq(n0,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_53])]) ).
fof(f825,plain,
( ~ leq(tptp_float_0_0,n4)
| spl41_53
| ~ spl41_62 ),
inference(superposition,[],[f753,f807]) ).
fof(f753,plain,
( ~ leq(n0,n4)
| spl41_53 ),
inference(avatar_component_clause,[],[f751]) ).
fof(f1233,plain,
( spl41_138
| ~ spl41_62
| ~ spl41_83 ),
inference(avatar_split_clause,[],[f977,f974,f805,f1231]) ).
fof(f1231,plain,
( spl41_138
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK18(X0,X1))
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_138])]) ).
fof(f974,plain,
( spl41_83
<=> ! [X0,X1] :
( leq(n0,sK18(X0,X1))
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_83])]) ).
fof(f977,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK18(X0,X1))
| ~ sP2(X0,X1) )
| ~ spl41_62
| ~ spl41_83 ),
inference(forward_demodulation,[],[f975,f807]) ).
fof(f975,plain,
( ! [X0,X1] :
( leq(n0,sK18(X0,X1))
| ~ sP2(X0,X1) )
| ~ spl41_83 ),
inference(avatar_component_clause,[],[f974]) ).
fof(f1225,plain,
( spl41_137
| ~ spl41_62
| ~ spl41_80 ),
inference(avatar_split_clause,[],[f963,f960,f805,f1223]) ).
fof(f1223,plain,
( spl41_137
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK17(X0,X1))
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_137])]) ).
fof(f960,plain,
( spl41_80
<=> ! [X0,X1] :
( leq(n0,sK17(X0,X1))
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_80])]) ).
fof(f963,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK17(X0,X1))
| ~ sP1(X0,X1) )
| ~ spl41_62
| ~ spl41_80 ),
inference(forward_demodulation,[],[f961,f807]) ).
fof(f961,plain,
( ! [X0,X1] :
( leq(n0,sK17(X0,X1))
| ~ sP1(X0,X1) )
| ~ spl41_80 ),
inference(avatar_component_clause,[],[f960]) ).
fof(f1217,plain,
( spl41_136
| ~ spl41_62
| ~ spl41_78 ),
inference(avatar_split_clause,[],[f954,f951,f805,f1215]) ).
fof(f1215,plain,
( spl41_136
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK16(X0,X1))
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_136])]) ).
fof(f951,plain,
( spl41_78
<=> ! [X0,X1] :
( leq(n0,sK16(X0,X1))
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_78])]) ).
fof(f954,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK16(X0,X1))
| ~ sP1(X0,X1) )
| ~ spl41_62
| ~ spl41_78 ),
inference(forward_demodulation,[],[f952,f807]) ).
fof(f952,plain,
( ! [X0,X1] :
( leq(n0,sK16(X0,X1))
| ~ sP1(X0,X1) )
| ~ spl41_78 ),
inference(avatar_component_clause,[],[f951]) ).
fof(f1209,plain,
( spl41_135
| ~ spl41_62
| ~ spl41_76 ),
inference(avatar_split_clause,[],[f945,f942,f805,f1207]) ).
fof(f1207,plain,
( spl41_135
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK15(X0,X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_135])]) ).
fof(f942,plain,
( spl41_76
<=> ! [X0,X1] :
( leq(n0,sK15(X0,X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_76])]) ).
fof(f945,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK15(X0,X1))
| ~ sP0(X0,X1) )
| ~ spl41_62
| ~ spl41_76 ),
inference(forward_demodulation,[],[f943,f807]) ).
fof(f943,plain,
( ! [X0,X1] :
( leq(n0,sK15(X0,X1))
| ~ sP0(X0,X1) )
| ~ spl41_76 ),
inference(avatar_component_clause,[],[f942]) ).
fof(f1201,plain,
( spl41_134
| ~ spl41_62
| ~ spl41_74 ),
inference(avatar_split_clause,[],[f936,f933,f805,f1199]) ).
fof(f1199,plain,
( spl41_134
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK14(X0,X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_134])]) ).
fof(f933,plain,
( spl41_74
<=> ! [X0,X1] :
( leq(n0,sK14(X0,X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_74])]) ).
fof(f936,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK14(X0,X1))
| ~ sP0(X0,X1) )
| ~ spl41_62
| ~ spl41_74 ),
inference(forward_demodulation,[],[f934,f807]) ).
fof(f934,plain,
( ! [X0,X1] :
( leq(n0,sK14(X0,X1))
| ~ sP0(X0,X1) )
| ~ spl41_74 ),
inference(avatar_component_clause,[],[f933]) ).
fof(f1197,plain,
( spl41_133
| ~ spl41_62
| ~ spl41_73 ),
inference(avatar_split_clause,[],[f931,f928,f805,f1195]) ).
fof(f1195,plain,
( spl41_133
<=> ! [X0,X1] :
( leq(tptp_float_0_0,X1)
| ~ leq(minus(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_133])]) ).
fof(f928,plain,
( spl41_73
<=> ! [X0,X1] :
( leq(n0,X1)
| ~ leq(minus(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_73])]) ).
fof(f931,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,X1)
| ~ leq(minus(X0,X1),X0) )
| ~ spl41_62
| ~ spl41_73 ),
inference(forward_demodulation,[],[f929,f807]) ).
fof(f929,plain,
( ! [X0,X1] :
( leq(n0,X1)
| ~ leq(minus(X0,X1),X0) )
| ~ spl41_73 ),
inference(avatar_component_clause,[],[f928]) ).
fof(f1193,plain,
( spl41_132
| ~ spl41_62
| ~ spl41_72 ),
inference(avatar_split_clause,[],[f926,f923,f805,f1191]) ).
fof(f1191,plain,
( spl41_132
<=> ! [X0,X1] :
( ~ leq(tptp_float_0_0,X0)
| leq(uniform_int_rnd(X1,X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_132])]) ).
fof(f923,plain,
( spl41_72
<=> ! [X0,X1] :
( leq(uniform_int_rnd(X1,X0),X0)
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_72])]) ).
fof(f926,plain,
( ! [X0,X1] :
( ~ leq(tptp_float_0_0,X0)
| leq(uniform_int_rnd(X1,X0),X0) )
| ~ spl41_62
| ~ spl41_72 ),
inference(forward_demodulation,[],[f924,f807]) ).
fof(f924,plain,
( ! [X0,X1] :
( leq(uniform_int_rnd(X1,X0),X0)
| ~ leq(n0,X0) )
| ~ spl41_72 ),
inference(avatar_component_clause,[],[f923]) ).
fof(f1189,plain,
( spl41_131
| ~ spl41_62
| ~ spl41_70 ),
inference(avatar_split_clause,[],[f916,f912,f805,f1187]) ).
fof(f1187,plain,
( spl41_131
<=> ! [X0,X1] :
( ~ leq(tptp_float_0_0,X0)
| leq(tptp_float_0_0,uniform_int_rnd(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_131])]) ).
fof(f912,plain,
( spl41_70
<=> ! [X0,X1] :
( leq(n0,uniform_int_rnd(X1,X0))
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_70])]) ).
fof(f916,plain,
( ! [X0,X1] :
( ~ leq(tptp_float_0_0,X0)
| leq(tptp_float_0_0,uniform_int_rnd(X1,X0)) )
| ~ spl41_62
| ~ spl41_70 ),
inference(forward_demodulation,[],[f915,f807]) ).
fof(f915,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,uniform_int_rnd(X1,X0))
| ~ leq(n0,X0) )
| ~ spl41_62
| ~ spl41_70 ),
inference(forward_demodulation,[],[f913,f807]) ).
fof(f913,plain,
( ! [X0,X1] :
( leq(n0,uniform_int_rnd(X1,X0))
| ~ leq(n0,X0) )
| ~ spl41_70 ),
inference(avatar_component_clause,[],[f912]) ).
fof(f1185,plain,
spl41_130,
inference(avatar_split_clause,[],[f456,f1183]) ).
fof(f1183,plain,
( spl41_130
<=> ! [X0,X1] :
( gt(X1,X0)
| ~ leq(X0,minus(X1,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_130])]) ).
fof(f456,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(X0,minus(X1,n1)) ),
inference(definition_unfolding,[],[f360,f316]) ).
fof(f316,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0] : minus(X0,n1) = pred(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pred_minus_1) ).
fof(f360,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(X0,pred(X1)) ),
inference(cnf_transformation,[],[f208]) ).
fof(f208,plain,
! [X0,X1] :
( ( leq(X0,pred(X1))
| ~ gt(X1,X0) )
& ( gt(X1,X0)
| ~ leq(X0,pred(X1)) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] :
( leq(X0,pred(X1))
<=> gt(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_gt_pred) ).
fof(f1181,plain,
spl41_129,
inference(avatar_split_clause,[],[f455,f1179]) ).
fof(f1179,plain,
( spl41_129
<=> ! [X0,X1] :
( leq(X0,minus(X1,n1))
| ~ gt(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_129])]) ).
fof(f455,plain,
! [X0,X1] :
( leq(X0,minus(X1,n1))
| ~ gt(X1,X0) ),
inference(definition_unfolding,[],[f361,f316]) ).
fof(f361,plain,
! [X0,X1] :
( leq(X0,pred(X1))
| ~ gt(X1,X0) ),
inference(cnf_transformation,[],[f208]) ).
fof(f1177,plain,
spl41_128,
inference(avatar_split_clause,[],[f454,f1175]) ).
fof(f1175,plain,
( spl41_128
<=> ! [X0,X1] :
( gt(plus(X1,n1),X0)
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_128])]) ).
fof(f454,plain,
! [X0,X1] :
( gt(plus(X1,n1),X0)
| ~ leq(X0,X1) ),
inference(definition_unfolding,[],[f358,f314]) ).
fof(f314,plain,
! [X0] : succ(X0) = plus(X0,n1),
inference(cnf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] : succ(X0) = plus(X0,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',succ_plus_1_r) ).
fof(f358,plain,
! [X0,X1] :
( gt(succ(X1),X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f207]) ).
fof(f207,plain,
! [X0,X1] :
( ( leq(X0,X1)
| ~ gt(succ(X1),X0) )
& ( gt(succ(X1),X0)
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> gt(succ(X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_succ_gt_equiv) ).
fof(f1173,plain,
spl41_127,
inference(avatar_split_clause,[],[f453,f1171]) ).
fof(f1171,plain,
( spl41_127
<=> ! [X0,X1] :
( leq(X0,X1)
| ~ gt(plus(X1,n1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_127])]) ).
fof(f453,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ gt(plus(X1,n1),X0) ),
inference(definition_unfolding,[],[f359,f314]) ).
fof(f359,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ gt(succ(X1),X0) ),
inference(cnf_transformation,[],[f207]) ).
fof(f1169,plain,
spl41_126,
inference(avatar_split_clause,[],[f452,f1167]) ).
fof(f1167,plain,
( spl41_126
<=> ! [X0,X1] :
( gt(X1,X0)
| ~ leq(plus(X0,n1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_126])]) ).
fof(f452,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(plus(X0,n1),X1) ),
inference(definition_unfolding,[],[f337,f314]) ).
fof(f337,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(succ(X0),X1) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(succ(X0),X1) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X0,X1] :
( leq(succ(X0),X1)
=> gt(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_succ_gt) ).
fof(f1165,plain,
spl41_125,
inference(avatar_split_clause,[],[f451,f1163]) ).
fof(f1163,plain,
( spl41_125
<=> ! [X0,X1] :
( leq(X0,plus(X1,n1))
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_125])]) ).
fof(f451,plain,
! [X0,X1] :
( leq(X0,plus(X1,n1))
| ~ leq(X0,X1) ),
inference(definition_unfolding,[],[f333,f314]) ).
fof(f333,plain,
! [X0,X1] :
( leq(X0,succ(X1))
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0,X1] :
( leq(X0,succ(X1))
| ~ leq(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1] :
( leq(X0,X1)
=> leq(X0,succ(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_succ) ).
fof(f1161,plain,
spl41_124,
inference(avatar_split_clause,[],[f428,f1159]) ).
fof(f1159,plain,
( spl41_124
<=> ! [X0,X1] :
( leq(sK40(X0,X1),X1)
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_124])]) ).
fof(f428,plain,
! [X0,X1] :
( leq(sK40(X0,X1),X1)
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f255]) ).
fof(f255,plain,
! [X0,X1] :
( ( a_select3(X0,sK39(X0,X1),sK40(X0,X1)) != a_select3(X0,sK40(X0,X1),sK39(X0,X1))
& leq(sK40(X0,X1),X1)
& leq(n0,sK40(X0,X1))
& leq(sK39(X0,X1),X1)
& leq(n0,sK39(X0,X1)) )
| ~ sP10(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK39,sK40])],[f253,f254]) ).
fof(f254,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> ( a_select3(X0,sK39(X0,X1),sK40(X0,X1)) != a_select3(X0,sK40(X0,X1),sK39(X0,X1))
& leq(sK40(X0,X1),X1)
& leq(n0,sK40(X0,X1))
& leq(sK39(X0,X1),X1)
& leq(n0,sK39(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f253,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP10(X0,X1) ),
inference(rectify,[],[f252]) ).
fof(f252,plain,
! [X3,X7] :
( ? [X12,X13] :
( a_select3(X3,X12,X13) != a_select3(X3,X13,X12)
& leq(X13,X7)
& leq(n0,X13)
& leq(X12,X7)
& leq(n0,X12) )
| ~ sP10(X3,X7) ),
inference(nnf_transformation,[],[f188]) ).
fof(f188,plain,
! [X3,X7] :
( ? [X12,X13] :
( a_select3(X3,X12,X13) != a_select3(X3,X13,X12)
& leq(X13,X7)
& leq(n0,X13)
& leq(X12,X7)
& leq(n0,X12) )
| ~ sP10(X3,X7) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f1156,plain,
spl41_123,
inference(avatar_split_clause,[],[f427,f1154]) ).
fof(f427,plain,
! [X0,X1] :
( leq(n0,sK40(X0,X1))
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f255]) ).
fof(f1152,plain,
spl41_122,
inference(avatar_split_clause,[],[f426,f1150]) ).
fof(f1150,plain,
( spl41_122
<=> ! [X0,X1] :
( leq(sK39(X0,X1),X1)
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_122])]) ).
fof(f426,plain,
! [X0,X1] :
( leq(sK39(X0,X1),X1)
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f255]) ).
fof(f1147,plain,
spl41_121,
inference(avatar_split_clause,[],[f425,f1145]) ).
fof(f425,plain,
! [X0,X1] :
( leq(n0,sK39(X0,X1))
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f255]) ).
fof(f1143,plain,
spl41_120,
inference(avatar_split_clause,[],[f423,f1141]) ).
fof(f1141,plain,
( spl41_120
<=> ! [X0,X1] :
( leq(sK38(X0,X1),X1)
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_120])]) ).
fof(f423,plain,
! [X0,X1] :
( leq(sK38(X0,X1),X1)
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f251]) ).
fof(f251,plain,
! [X0,X1] :
( ( a_select3(X0,sK37(X0,X1),sK38(X0,X1)) != a_select3(X0,sK38(X0,X1),sK37(X0,X1))
& leq(sK38(X0,X1),X1)
& leq(n0,sK38(X0,X1))
& leq(sK37(X0,X1),X1)
& leq(n0,sK37(X0,X1)) )
| ~ sP11(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK37,sK38])],[f249,f250]) ).
fof(f250,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> ( a_select3(X0,sK37(X0,X1),sK38(X0,X1)) != a_select3(X0,sK38(X0,X1),sK37(X0,X1))
& leq(sK38(X0,X1),X1)
& leq(n0,sK38(X0,X1))
& leq(sK37(X0,X1),X1)
& leq(n0,sK37(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f249,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP11(X0,X1) ),
inference(rectify,[],[f248]) ).
fof(f248,plain,
! [X0,X6] :
( ? [X10,X11] :
( a_select3(X0,X10,X11) != a_select3(X0,X11,X10)
& leq(X11,X6)
& leq(n0,X11)
& leq(X10,X6)
& leq(n0,X10) )
| ~ sP11(X0,X6) ),
inference(nnf_transformation,[],[f189]) ).
fof(f189,plain,
! [X0,X6] :
( ? [X10,X11] :
( a_select3(X0,X10,X11) != a_select3(X0,X11,X10)
& leq(X11,X6)
& leq(n0,X11)
& leq(X10,X6)
& leq(n0,X10) )
| ~ sP11(X0,X6) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f1138,plain,
spl41_119,
inference(avatar_split_clause,[],[f422,f1136]) ).
fof(f422,plain,
! [X0,X1] :
( leq(n0,sK38(X0,X1))
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f251]) ).
fof(f1134,plain,
spl41_118,
inference(avatar_split_clause,[],[f421,f1132]) ).
fof(f1132,plain,
( spl41_118
<=> ! [X0,X1] :
( leq(sK37(X0,X1),X1)
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_118])]) ).
fof(f421,plain,
! [X0,X1] :
( leq(sK37(X0,X1),X1)
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f251]) ).
fof(f1129,plain,
spl41_117,
inference(avatar_split_clause,[],[f420,f1127]) ).
fof(f420,plain,
! [X0,X1] :
( leq(n0,sK37(X0,X1))
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f251]) ).
fof(f1125,plain,
spl41_116,
inference(avatar_split_clause,[],[f418,f1123]) ).
fof(f1123,plain,
( spl41_116
<=> ! [X0,X1] :
( leq(sK36(X0,X1),X1)
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_116])]) ).
fof(f418,plain,
! [X0,X1] :
( leq(sK36(X0,X1),X1)
| ~ sP12(X0,X1) ),
inference(cnf_transformation,[],[f247]) ).
fof(f247,plain,
! [X0,X1] :
( ( a_select3(X0,sK35(X0,X1),sK36(X0,X1)) != a_select3(X0,sK36(X0,X1),sK35(X0,X1))
& leq(sK36(X0,X1),X1)
& leq(n0,sK36(X0,X1))
& leq(sK35(X0,X1),X1)
& leq(n0,sK35(X0,X1)) )
| ~ sP12(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK35,sK36])],[f245,f246]) ).
fof(f246,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> ( a_select3(X0,sK35(X0,X1),sK36(X0,X1)) != a_select3(X0,sK36(X0,X1),sK35(X0,X1))
& leq(sK36(X0,X1),X1)
& leq(n0,sK36(X0,X1))
& leq(sK35(X0,X1),X1)
& leq(n0,sK35(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f245,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP12(X0,X1) ),
inference(rectify,[],[f244]) ).
fof(f244,plain,
! [X5,X6] :
( ? [X8,X9] :
( a_select3(X5,X8,X9) != a_select3(X5,X9,X8)
& leq(X9,X6)
& leq(n0,X9)
& leq(X8,X6)
& leq(n0,X8) )
| ~ sP12(X5,X6) ),
inference(nnf_transformation,[],[f190]) ).
fof(f190,plain,
! [X5,X6] :
( ? [X8,X9] :
( a_select3(X5,X8,X9) != a_select3(X5,X9,X8)
& leq(X9,X6)
& leq(n0,X9)
& leq(X8,X6)
& leq(n0,X8) )
| ~ sP12(X5,X6) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f1120,plain,
spl41_115,
inference(avatar_split_clause,[],[f417,f1118]) ).
fof(f417,plain,
! [X0,X1] :
( leq(n0,sK36(X0,X1))
| ~ sP12(X0,X1) ),
inference(cnf_transformation,[],[f247]) ).
fof(f1116,plain,
spl41_114,
inference(avatar_split_clause,[],[f416,f1114]) ).
fof(f1114,plain,
( spl41_114
<=> ! [X0,X1] :
( leq(sK35(X0,X1),X1)
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_114])]) ).
fof(f416,plain,
! [X0,X1] :
( leq(sK35(X0,X1),X1)
| ~ sP12(X0,X1) ),
inference(cnf_transformation,[],[f247]) ).
fof(f1111,plain,
spl41_113,
inference(avatar_split_clause,[],[f415,f1109]) ).
fof(f415,plain,
! [X0,X1] :
( leq(n0,sK35(X0,X1))
| ~ sP12(X0,X1) ),
inference(cnf_transformation,[],[f247]) ).
fof(f1107,plain,
spl41_112,
inference(avatar_split_clause,[],[f403,f1105]) ).
fof(f1105,plain,
( spl41_112
<=> ! [X0,X1] :
( leq(sK32(X0,X1),X1)
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_112])]) ).
fof(f403,plain,
! [X0,X1] :
( leq(sK32(X0,X1),X1)
| ~ sP8(X0,X1) ),
inference(cnf_transformation,[],[f238]) ).
fof(f238,plain,
! [X0,X1] :
( ( a_select3(X0,sK31(X0,X1),sK32(X0,X1)) != a_select3(X0,sK32(X0,X1),sK31(X0,X1))
& leq(sK32(X0,X1),X1)
& leq(n0,sK32(X0,X1))
& leq(sK31(X0,X1),X1)
& leq(n0,sK31(X0,X1)) )
| ~ sP8(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK31,sK32])],[f236,f237]) ).
fof(f237,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> ( a_select3(X0,sK31(X0,X1),sK32(X0,X1)) != a_select3(X0,sK32(X0,X1),sK31(X0,X1))
& leq(sK32(X0,X1),X1)
& leq(n0,sK32(X0,X1))
& leq(sK31(X0,X1),X1)
& leq(n0,sK31(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f236,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP8(X0,X1) ),
inference(rectify,[],[f235]) ).
fof(f235,plain,
! [X1,X3] :
( ? [X4,X5] :
( a_select3(X1,X4,X5) != a_select3(X1,X5,X4)
& leq(X5,X3)
& leq(n0,X5)
& leq(X4,X3)
& leq(n0,X4) )
| ~ sP8(X1,X3) ),
inference(nnf_transformation,[],[f184]) ).
fof(f184,plain,
! [X1,X3] :
( ? [X4,X5] :
( a_select3(X1,X4,X5) != a_select3(X1,X5,X4)
& leq(X5,X3)
& leq(n0,X5)
& leq(X4,X3)
& leq(n0,X4) )
| ~ sP8(X1,X3) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f1102,plain,
spl41_111,
inference(avatar_split_clause,[],[f402,f1100]) ).
fof(f402,plain,
! [X0,X1] :
( leq(n0,sK32(X0,X1))
| ~ sP8(X0,X1) ),
inference(cnf_transformation,[],[f238]) ).
fof(f1098,plain,
spl41_110,
inference(avatar_split_clause,[],[f401,f1096]) ).
fof(f1096,plain,
( spl41_110
<=> ! [X0,X1] :
( leq(sK31(X0,X1),X1)
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_110])]) ).
fof(f401,plain,
! [X0,X1] :
( leq(sK31(X0,X1),X1)
| ~ sP8(X0,X1) ),
inference(cnf_transformation,[],[f238]) ).
fof(f1093,plain,
spl41_109,
inference(avatar_split_clause,[],[f400,f1091]) ).
fof(f400,plain,
! [X0,X1] :
( leq(n0,sK31(X0,X1))
| ~ sP8(X0,X1) ),
inference(cnf_transformation,[],[f238]) ).
fof(f1089,plain,
spl41_108,
inference(avatar_split_clause,[],[f392,f1087]) ).
fof(f1087,plain,
( spl41_108
<=> ! [X0,X1] :
( leq(sK29(X0,X1),X1)
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_108])]) ).
fof(f392,plain,
! [X0,X1] :
( leq(sK29(X0,X1),X1)
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f231]) ).
fof(f231,plain,
! [X0,X1] :
( ( a_select3(X0,sK28(X0,X1),sK29(X0,X1)) != a_select3(X0,sK29(X0,X1),sK28(X0,X1))
& leq(sK29(X0,X1),X1)
& leq(n0,sK29(X0,X1))
& leq(sK28(X0,X1),X1)
& leq(n0,sK28(X0,X1)) )
| ~ sP7(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28,sK29])],[f229,f230]) ).
fof(f230,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> ( a_select3(X0,sK28(X0,X1),sK29(X0,X1)) != a_select3(X0,sK29(X0,X1),sK28(X0,X1))
& leq(sK29(X0,X1),X1)
& leq(n0,sK29(X0,X1))
& leq(sK28(X0,X1),X1)
& leq(n0,sK28(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f229,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP7(X0,X1) ),
inference(rectify,[],[f228]) ).
fof(f228,plain,
! [X1,X2] :
( ? [X3,X4] :
( a_select3(X1,X3,X4) != a_select3(X1,X4,X3)
& leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
| ~ sP7(X1,X2) ),
inference(nnf_transformation,[],[f182]) ).
fof(f182,plain,
! [X1,X2] :
( ? [X3,X4] :
( a_select3(X1,X3,X4) != a_select3(X1,X4,X3)
& leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
| ~ sP7(X1,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f1084,plain,
spl41_107,
inference(avatar_split_clause,[],[f391,f1082]) ).
fof(f391,plain,
! [X0,X1] :
( leq(n0,sK29(X0,X1))
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f231]) ).
fof(f1080,plain,
spl41_106,
inference(avatar_split_clause,[],[f390,f1078]) ).
fof(f1078,plain,
( spl41_106
<=> ! [X0,X1] :
( leq(sK28(X0,X1),X1)
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_106])]) ).
fof(f390,plain,
! [X0,X1] :
( leq(sK28(X0,X1),X1)
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f231]) ).
fof(f1075,plain,
spl41_105,
inference(avatar_split_clause,[],[f389,f1073]) ).
fof(f389,plain,
! [X0,X1] :
( leq(n0,sK28(X0,X1))
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f231]) ).
fof(f1071,plain,
spl41_104,
inference(avatar_split_clause,[],[f386,f1069]) ).
fof(f1069,plain,
( spl41_104
<=> ! [X0,X1] :
( leq(sK27(X0,X1),X1)
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_104])]) ).
fof(f386,plain,
! [X0,X1] :
( leq(sK27(X0,X1),X1)
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f226]) ).
fof(f226,plain,
! [X0,X1] :
( ( a_select3(X0,sK26(X0,X1),sK27(X0,X1)) != a_select3(X0,sK27(X0,X1),sK26(X0,X1))
& leq(sK27(X0,X1),X1)
& leq(n0,sK27(X0,X1))
& leq(sK26(X0,X1),X1)
& leq(n0,sK26(X0,X1)) )
| ~ sP5(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26,sK27])],[f224,f225]) ).
fof(f225,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> ( a_select3(X0,sK26(X0,X1),sK27(X0,X1)) != a_select3(X0,sK27(X0,X1),sK26(X0,X1))
& leq(sK27(X0,X1),X1)
& leq(n0,sK27(X0,X1))
& leq(sK26(X0,X1),X1)
& leq(n0,sK26(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f224,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP5(X0,X1) ),
inference(rectify,[],[f223]) ).
fof(f223,plain,
! [X0,X2] :
( ? [X5,X6] :
( a_select3(X0,X5,X6) != a_select3(X0,X6,X5)
& leq(X6,X2)
& leq(n0,X6)
& leq(X5,X2)
& leq(n0,X5) )
| ~ sP5(X0,X2) ),
inference(nnf_transformation,[],[f179]) ).
fof(f179,plain,
! [X0,X2] :
( ? [X5,X6] :
( a_select3(X0,X5,X6) != a_select3(X0,X6,X5)
& leq(X6,X2)
& leq(n0,X6)
& leq(X5,X2)
& leq(n0,X5) )
| ~ sP5(X0,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f1067,plain,
( spl41_103
| ~ spl41_5
| ~ spl41_64 ),
inference(avatar_split_clause,[],[f874,f833,f501,f1064]) ).
fof(f1064,plain,
( spl41_103
<=> leq(n1,loopcounter) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_103])]) ).
fof(f501,plain,
( spl41_5
<=> gt(loopcounter,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_5])]) ).
fof(f833,plain,
( spl41_64
<=> ! [X0,X1] :
( leq(X0,X1)
| ~ gt(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_64])]) ).
fof(f874,plain,
( leq(n1,loopcounter)
| ~ spl41_5
| ~ spl41_64 ),
inference(resolution,[],[f834,f503]) ).
fof(f503,plain,
( gt(loopcounter,n1)
| ~ spl41_5 ),
inference(avatar_component_clause,[],[f501]) ).
fof(f834,plain,
( ! [X0,X1] :
( ~ gt(X1,X0)
| leq(X0,X1) )
| ~ spl41_64 ),
inference(avatar_component_clause,[],[f833]) ).
fof(f1061,plain,
spl41_102,
inference(avatar_split_clause,[],[f385,f1059]) ).
fof(f385,plain,
! [X0,X1] :
( leq(n0,sK27(X0,X1))
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f226]) ).
fof(f1057,plain,
spl41_101,
inference(avatar_split_clause,[],[f384,f1055]) ).
fof(f1055,plain,
( spl41_101
<=> ! [X0,X1] :
( leq(sK26(X0,X1),X1)
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_101])]) ).
fof(f384,plain,
! [X0,X1] :
( leq(sK26(X0,X1),X1)
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f226]) ).
fof(f1052,plain,
spl41_100,
inference(avatar_split_clause,[],[f383,f1050]) ).
fof(f383,plain,
! [X0,X1] :
( leq(n0,sK26(X0,X1))
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f226]) ).
fof(f1048,plain,
spl41_99,
inference(avatar_split_clause,[],[f381,f1046]) ).
fof(f1046,plain,
( spl41_99
<=> ! [X0,X1] :
( leq(sK25(X0,X1),X1)
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_99])]) ).
fof(f381,plain,
! [X0,X1] :
( leq(sK25(X0,X1),X1)
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f222]) ).
fof(f222,plain,
! [X0,X1] :
( ( a_select3(X0,sK24(X0,X1),sK25(X0,X1)) != a_select3(X0,sK25(X0,X1),sK24(X0,X1))
& leq(sK25(X0,X1),X1)
& leq(n0,sK25(X0,X1))
& leq(sK24(X0,X1),X1)
& leq(n0,sK24(X0,X1)) )
| ~ sP6(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24,sK25])],[f220,f221]) ).
fof(f221,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> ( a_select3(X0,sK24(X0,X1),sK25(X0,X1)) != a_select3(X0,sK25(X0,X1),sK24(X0,X1))
& leq(sK25(X0,X1),X1)
& leq(n0,sK25(X0,X1))
& leq(sK24(X0,X1),X1)
& leq(n0,sK24(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f220,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP6(X0,X1) ),
inference(rectify,[],[f219]) ).
fof(f219,plain,
! [X1,X2] :
( ? [X3,X4] :
( a_select3(X1,X3,X4) != a_select3(X1,X4,X3)
& leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
| ~ sP6(X1,X2) ),
inference(nnf_transformation,[],[f180]) ).
fof(f180,plain,
! [X1,X2] :
( ? [X3,X4] :
( a_select3(X1,X3,X4) != a_select3(X1,X4,X3)
& leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
| ~ sP6(X1,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f1043,plain,
spl41_98,
inference(avatar_split_clause,[],[f380,f1041]) ).
fof(f380,plain,
! [X0,X1] :
( leq(n0,sK25(X0,X1))
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f222]) ).
fof(f1039,plain,
spl41_97,
inference(avatar_split_clause,[],[f379,f1037]) ).
fof(f1037,plain,
( spl41_97
<=> ! [X0,X1] :
( leq(sK24(X0,X1),X1)
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_97])]) ).
fof(f379,plain,
! [X0,X1] :
( leq(sK24(X0,X1),X1)
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f222]) ).
fof(f1034,plain,
spl41_96,
inference(avatar_split_clause,[],[f378,f1032]) ).
fof(f378,plain,
! [X0,X1] :
( leq(n0,sK24(X0,X1))
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f222]) ).
fof(f1030,plain,
spl41_95,
inference(avatar_split_clause,[],[f375,f1028]) ).
fof(f1028,plain,
( spl41_95
<=> ! [X0,X1] :
( leq(sK23(X0,X1),X1)
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_95])]) ).
fof(f375,plain,
! [X0,X1] :
( leq(sK23(X0,X1),X1)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f217]) ).
fof(f217,plain,
! [X0,X1] :
( ( a_select3(X0,sK22(X0,X1),sK23(X0,X1)) != a_select3(X0,sK23(X0,X1),sK22(X0,X1))
& leq(sK23(X0,X1),X1)
& leq(n0,sK23(X0,X1))
& leq(sK22(X0,X1),X1)
& leq(n0,sK22(X0,X1)) )
| ~ sP3(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22,sK23])],[f215,f216]) ).
fof(f216,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> ( a_select3(X0,sK22(X0,X1),sK23(X0,X1)) != a_select3(X0,sK23(X0,X1),sK22(X0,X1))
& leq(sK23(X0,X1),X1)
& leq(n0,sK23(X0,X1))
& leq(sK22(X0,X1),X1)
& leq(n0,sK22(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f215,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP3(X0,X1) ),
inference(rectify,[],[f214]) ).
fof(f214,plain,
! [X0,X2] :
( ? [X5,X6] :
( a_select3(X0,X5,X6) != a_select3(X0,X6,X5)
& leq(X6,X2)
& leq(n0,X6)
& leq(X5,X2)
& leq(n0,X5) )
| ~ sP3(X0,X2) ),
inference(nnf_transformation,[],[f176]) ).
fof(f176,plain,
! [X0,X2] :
( ? [X5,X6] :
( a_select3(X0,X5,X6) != a_select3(X0,X6,X5)
& leq(X6,X2)
& leq(n0,X6)
& leq(X5,X2)
& leq(n0,X5) )
| ~ sP3(X0,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f1025,plain,
spl41_94,
inference(avatar_split_clause,[],[f374,f1023]) ).
fof(f374,plain,
! [X0,X1] :
( leq(n0,sK23(X0,X1))
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f217]) ).
fof(f1021,plain,
spl41_93,
inference(avatar_split_clause,[],[f373,f1019]) ).
fof(f1019,plain,
( spl41_93
<=> ! [X0,X1] :
( leq(sK22(X0,X1),X1)
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_93])]) ).
fof(f373,plain,
! [X0,X1] :
( leq(sK22(X0,X1),X1)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f217]) ).
fof(f1016,plain,
spl41_92,
inference(avatar_split_clause,[],[f372,f1014]) ).
fof(f372,plain,
! [X0,X1] :
( leq(n0,sK22(X0,X1))
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f217]) ).
fof(f1012,plain,
spl41_91,
inference(avatar_split_clause,[],[f370,f1010]) ).
fof(f1010,plain,
( spl41_91
<=> ! [X0,X1] :
( leq(sK21(X0,X1),X1)
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_91])]) ).
fof(f370,plain,
! [X0,X1] :
( leq(sK21(X0,X1),X1)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f213]) ).
fof(f213,plain,
! [X0,X1] :
( ( a_select3(X0,sK20(X0,X1),sK21(X0,X1)) != a_select3(X0,sK21(X0,X1),sK20(X0,X1))
& leq(sK21(X0,X1),X1)
& leq(n0,sK21(X0,X1))
& leq(sK20(X0,X1),X1)
& leq(n0,sK20(X0,X1)) )
| ~ sP4(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21])],[f211,f212]) ).
fof(f212,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> ( a_select3(X0,sK20(X0,X1),sK21(X0,X1)) != a_select3(X0,sK21(X0,X1),sK20(X0,X1))
& leq(sK21(X0,X1),X1)
& leq(n0,sK21(X0,X1))
& leq(sK20(X0,X1),X1)
& leq(n0,sK20(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f211,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP4(X0,X1) ),
inference(rectify,[],[f210]) ).
fof(f210,plain,
! [X1,X2] :
( ? [X3,X4] :
( a_select3(X1,X3,X4) != a_select3(X1,X4,X3)
& leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
| ~ sP4(X1,X2) ),
inference(nnf_transformation,[],[f177]) ).
fof(f177,plain,
! [X1,X2] :
( ? [X3,X4] :
( a_select3(X1,X3,X4) != a_select3(X1,X4,X3)
& leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
| ~ sP4(X1,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f1007,plain,
spl41_90,
inference(avatar_split_clause,[],[f369,f1005]) ).
fof(f369,plain,
! [X0,X1] :
( leq(n0,sK21(X0,X1))
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f213]) ).
fof(f1003,plain,
spl41_89,
inference(avatar_split_clause,[],[f368,f1001]) ).
fof(f1001,plain,
( spl41_89
<=> ! [X0,X1] :
( leq(sK20(X0,X1),X1)
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_89])]) ).
fof(f368,plain,
! [X0,X1] :
( leq(sK20(X0,X1),X1)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f213]) ).
fof(f998,plain,
spl41_88,
inference(avatar_split_clause,[],[f367,f996]) ).
fof(f367,plain,
! [X0,X1] :
( leq(n0,sK20(X0,X1))
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f213]) ).
fof(f994,plain,
spl41_87,
inference(avatar_split_clause,[],[f364,f992]) ).
fof(f992,plain,
( spl41_87
<=> ! [X2,X0,X1] : a_select2(tptp_update2(X0,X1,X2),X1) = X2 ),
introduced(avatar_definition,[new_symbols(naming,[spl41_87])]) ).
fof(f364,plain,
! [X2,X0,X1] : a_select2(tptp_update2(X0,X1,X2),X1) = X2,
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1,X2] : a_select2(tptp_update2(X0,X1,X2),X1) = X2,
inference(rectify,[],[f48]) ).
fof(f48,axiom,
! [X0,X6,X16] : a_select2(tptp_update2(X0,X6,X16),X6) = X16,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sel2_update_1) ).
fof(f990,plain,
spl41_86,
inference(avatar_split_clause,[],[f355,f988]) ).
fof(f988,plain,
( spl41_86
<=> ! [X0,X1] :
( leq(sK19(X0,X1),X1)
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_86])]) ).
fof(f355,plain,
! [X0,X1] :
( leq(sK19(X0,X1),X1)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f205]) ).
fof(f205,plain,
! [X0,X1] :
( ( a_select3(X0,sK18(X0,X1),sK19(X0,X1)) != a_select3(X0,sK19(X0,X1),sK18(X0,X1))
& leq(sK19(X0,X1),X1)
& leq(n0,sK19(X0,X1))
& leq(sK18(X0,X1),X1)
& leq(n0,sK18(X0,X1)) )
| ~ sP2(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19])],[f203,f204]) ).
fof(f204,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> ( a_select3(X0,sK18(X0,X1),sK19(X0,X1)) != a_select3(X0,sK19(X0,X1),sK18(X0,X1))
& leq(sK19(X0,X1),X1)
& leq(n0,sK19(X0,X1))
& leq(sK18(X0,X1),X1)
& leq(n0,sK18(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f203,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP2(X0,X1) ),
inference(nnf_transformation,[],[f174]) ).
fof(f174,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP2(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f985,plain,
spl41_85,
inference(avatar_split_clause,[],[f354,f983]) ).
fof(f354,plain,
! [X0,X1] :
( leq(n0,sK19(X0,X1))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f205]) ).
fof(f981,plain,
spl41_84,
inference(avatar_split_clause,[],[f353,f979]) ).
fof(f979,plain,
( spl41_84
<=> ! [X0,X1] :
( leq(sK18(X0,X1),X1)
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_84])]) ).
fof(f353,plain,
! [X0,X1] :
( leq(sK18(X0,X1),X1)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f205]) ).
fof(f976,plain,
spl41_83,
inference(avatar_split_clause,[],[f352,f974]) ).
fof(f352,plain,
! [X0,X1] :
( leq(n0,sK18(X0,X1))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f205]) ).
fof(f972,plain,
( spl41_82
| ~ spl41_6
| ~ spl41_62 ),
inference(avatar_split_clause,[],[f811,f805,f506,f969]) ).
fof(f969,plain,
( spl41_82
<=> leq(tptp_float_0_0,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_82])]) ).
fof(f811,plain,
( leq(tptp_float_0_0,sK13)
| ~ spl41_6
| ~ spl41_62 ),
inference(superposition,[],[f508,f807]) ).
fof(f967,plain,
spl41_81,
inference(avatar_split_clause,[],[f349,f965]) ).
fof(f965,plain,
( spl41_81
<=> ! [X0,X1] :
( leq(sK17(X0,X1),X1)
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_81])]) ).
fof(f349,plain,
! [X0,X1] :
( leq(sK17(X0,X1),X1)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f201]) ).
fof(f201,plain,
! [X0,X1] :
( ( a_select3(X0,sK16(X0,X1),sK17(X0,X1)) != a_select3(X0,sK17(X0,X1),sK16(X0,X1))
& leq(sK17(X0,X1),X1)
& leq(n0,sK17(X0,X1))
& leq(sK16(X0,X1),X1)
& leq(n0,sK16(X0,X1)) )
| ~ sP1(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17])],[f199,f200]) ).
fof(f200,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> ( a_select3(X0,sK16(X0,X1),sK17(X0,X1)) != a_select3(X0,sK17(X0,X1),sK16(X0,X1))
& leq(sK17(X0,X1),X1)
& leq(n0,sK17(X0,X1))
& leq(sK16(X0,X1),X1)
& leq(n0,sK16(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f199,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP1(X0,X1) ),
inference(nnf_transformation,[],[f172]) ).
fof(f172,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP1(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f962,plain,
spl41_80,
inference(avatar_split_clause,[],[f348,f960]) ).
fof(f348,plain,
! [X0,X1] :
( leq(n0,sK17(X0,X1))
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f201]) ).
fof(f958,plain,
spl41_79,
inference(avatar_split_clause,[],[f347,f956]) ).
fof(f956,plain,
( spl41_79
<=> ! [X0,X1] :
( leq(sK16(X0,X1),X1)
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_79])]) ).
fof(f347,plain,
! [X0,X1] :
( leq(sK16(X0,X1),X1)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f201]) ).
fof(f953,plain,
spl41_78,
inference(avatar_split_clause,[],[f346,f951]) ).
fof(f346,plain,
! [X0,X1] :
( leq(n0,sK16(X0,X1))
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f201]) ).
fof(f949,plain,
spl41_77,
inference(avatar_split_clause,[],[f343,f947]) ).
fof(f947,plain,
( spl41_77
<=> ! [X0,X1] :
( leq(sK15(X0,X1),X1)
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_77])]) ).
fof(f343,plain,
! [X0,X1] :
( leq(sK15(X0,X1),X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f197]) ).
fof(f197,plain,
! [X0,X1] :
( ( a_select3(X0,sK14(X0,X1),sK15(X0,X1)) != a_select3(X0,sK15(X0,X1),sK14(X0,X1))
& leq(sK15(X0,X1),X1)
& leq(n0,sK15(X0,X1))
& leq(sK14(X0,X1),X1)
& leq(n0,sK14(X0,X1)) )
| ~ sP0(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15])],[f195,f196]) ).
fof(f196,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> ( a_select3(X0,sK14(X0,X1),sK15(X0,X1)) != a_select3(X0,sK15(X0,X1),sK14(X0,X1))
& leq(sK15(X0,X1),X1)
& leq(n0,sK15(X0,X1))
& leq(sK14(X0,X1),X1)
& leq(n0,sK14(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f195,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP0(X0,X1) ),
inference(nnf_transformation,[],[f170]) ).
fof(f170,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP0(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f944,plain,
spl41_76,
inference(avatar_split_clause,[],[f342,f942]) ).
fof(f342,plain,
! [X0,X1] :
( leq(n0,sK15(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f197]) ).
fof(f940,plain,
spl41_75,
inference(avatar_split_clause,[],[f341,f938]) ).
fof(f938,plain,
( spl41_75
<=> ! [X0,X1] :
( leq(sK14(X0,X1),X1)
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_75])]) ).
fof(f341,plain,
! [X0,X1] :
( leq(sK14(X0,X1),X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f197]) ).
fof(f935,plain,
spl41_74,
inference(avatar_split_clause,[],[f340,f933]) ).
fof(f340,plain,
! [X0,X1] :
( leq(n0,sK14(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f197]) ).
fof(f930,plain,
spl41_73,
inference(avatar_split_clause,[],[f338,f928]) ).
fof(f338,plain,
! [X0,X1] :
( leq(n0,X1)
| ~ leq(minus(X0,X1),X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0,X1] :
( leq(n0,X1)
| ~ leq(minus(X0,X1),X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,axiom,
! [X0,X1] :
( leq(minus(X0,X1),X0)
=> leq(n0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_minus) ).
fof(f925,plain,
spl41_72,
inference(avatar_split_clause,[],[f335,f923]) ).
fof(f335,plain,
! [X0,X1] :
( leq(uniform_int_rnd(X1,X0),X0)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0,X1] :
( leq(uniform_int_rnd(X1,X0),X0)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1] :
( leq(n0,X0)
=> leq(uniform_int_rnd(X1,X0),X0) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X0,X3] :
( leq(n0,X0)
=> leq(uniform_int_rnd(X3,X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',uniform_int_rand_ranges_hi) ).
fof(f921,plain,
( spl41_71
| ~ spl41_2
| ~ spl41_62 ),
inference(avatar_split_clause,[],[f810,f805,f486,f918]) ).
fof(f918,plain,
( spl41_71
<=> leq(tptp_float_0_0,pv44) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_71])]) ).
fof(f486,plain,
( spl41_2
<=> leq(n0,pv44) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_2])]) ).
fof(f810,plain,
( leq(tptp_float_0_0,pv44)
| ~ spl41_2
| ~ spl41_62 ),
inference(superposition,[],[f488,f807]) ).
fof(f488,plain,
( leq(n0,pv44)
| ~ spl41_2 ),
inference(avatar_component_clause,[],[f486]) ).
fof(f914,plain,
spl41_70,
inference(avatar_split_clause,[],[f334,f912]) ).
fof(f334,plain,
! [X0,X1] :
( leq(n0,uniform_int_rnd(X1,X0))
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0,X1] :
( leq(n0,uniform_int_rnd(X1,X0))
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1] :
( leq(n0,X0)
=> leq(n0,uniform_int_rnd(X1,X0)) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X0,X3] :
( leq(n0,X0)
=> leq(n0,uniform_int_rnd(X3,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',uniform_int_rand_ranges_lo) ).
fof(f893,plain,
spl41_69,
inference(avatar_split_clause,[],[f442,f891]) ).
fof(f891,plain,
( spl41_69
<=> ! [X0] : plus(X0,n1) = plus(n1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_69])]) ).
fof(f442,plain,
! [X0] : plus(X0,n1) = plus(n1,X0),
inference(definition_unfolding,[],[f315,f314]) ).
fof(f315,plain,
! [X0] : succ(X0) = plus(n1,X0),
inference(cnf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] : succ(X0) = plus(n1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',succ_plus_1_l) ).
fof(f889,plain,
spl41_68,
inference(avatar_split_clause,[],[f441,f887]) ).
fof(f887,plain,
( spl41_68
<=> ! [X0] : plus(minus(X0,n1),n1) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl41_68])]) ).
fof(f441,plain,
! [X0] : plus(minus(X0,n1),n1) = X0,
inference(definition_unfolding,[],[f312,f314,f316]) ).
fof(f312,plain,
! [X0] : succ(pred(X0)) = X0,
inference(cnf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0] : succ(pred(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',succ_pred) ).
fof(f885,plain,
spl41_67,
inference(avatar_split_clause,[],[f440,f883]) ).
fof(f883,plain,
( spl41_67
<=> ! [X0] : minus(plus(X0,n1),n1) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl41_67])]) ).
fof(f440,plain,
! [X0] : minus(plus(X0,n1),n1) = X0,
inference(definition_unfolding,[],[f311,f316,f314]) ).
fof(f311,plain,
! [X0] : pred(succ(X0)) = X0,
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0] : pred(succ(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pred_succ) ).
fof(f844,plain,
( spl41_66
| ~ spl41_62
| ~ spl41_63 ),
inference(avatar_split_clause,[],[f831,f828,f805,f842]) ).
fof(f842,plain,
( spl41_66
<=> ! [X0] : tptp_float_0_0 = sum(tptp_float_0_0,tptp_minus_1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_66])]) ).
fof(f828,plain,
( spl41_63
<=> ! [X0] : tptp_float_0_0 = sum(n0,tptp_minus_1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_63])]) ).
fof(f831,plain,
( ! [X0] : tptp_float_0_0 = sum(tptp_float_0_0,tptp_minus_1,X0)
| ~ spl41_62
| ~ spl41_63 ),
inference(forward_demodulation,[],[f829,f807]) ).
fof(f829,plain,
( ! [X0] : tptp_float_0_0 = sum(n0,tptp_minus_1,X0)
| ~ spl41_63 ),
inference(avatar_component_clause,[],[f828]) ).
fof(f840,plain,
( spl41_65
| ~ spl41_1
| ~ spl41_62 ),
inference(avatar_split_clause,[],[f809,f805,f481,f837]) ).
fof(f837,plain,
( spl41_65
<=> leq(tptp_float_0_0,pv40) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_65])]) ).
fof(f809,plain,
( leq(tptp_float_0_0,pv40)
| ~ spl41_1
| ~ spl41_62 ),
inference(superposition,[],[f483,f807]) ).
fof(f835,plain,
spl41_64,
inference(avatar_split_clause,[],[f336,f833]) ).
fof(f336,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ gt(X1,X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ gt(X1,X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( gt(X1,X0)
=> leq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_gt1) ).
fof(f830,plain,
spl41_63,
inference(avatar_split_clause,[],[f317,f828]) ).
fof(f317,plain,
! [X0] : tptp_float_0_0 = sum(n0,tptp_minus_1,X0),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0] : tptp_float_0_0 = sum(n0,tptp_minus_1,X0),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
! [X22] : sum(n0,tptp_minus_1,X22) = tptp_float_0_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_plus_base_float) ).
fof(f808,plain,
( spl41_62
| ~ spl41_61 ),
inference(avatar_split_clause,[],[f803,f800,f805]) ).
fof(f800,plain,
( spl41_61
<=> ! [X0] : n0 = sum(n0,tptp_minus_1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_61])]) ).
fof(f803,plain,
( n0 = tptp_float_0_0
| ~ spl41_61 ),
inference(forward_demodulation,[],[f801,f317]) ).
fof(f801,plain,
( ! [X0] : n0 = sum(n0,tptp_minus_1,X0)
| ~ spl41_61 ),
inference(avatar_component_clause,[],[f800]) ).
fof(f802,plain,
spl41_61,
inference(avatar_split_clause,[],[f313,f800]) ).
fof(f313,plain,
! [X0] : n0 = sum(n0,tptp_minus_1,X0),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0] : n0 = sum(n0,tptp_minus_1,X0),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X22] : n0 = sum(n0,tptp_minus_1,X22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_plus_base) ).
fof(f792,plain,
spl41_60,
inference(avatar_split_clause,[],[f471,f789]) ).
fof(f789,plain,
( spl41_60
<=> n5 = plus(n4,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_60])]) ).
fof(f471,plain,
n5 = plus(n4,n1),
inference(forward_demodulation,[],[f470,f467]) ).
fof(f467,plain,
n4 = plus(n3,n1),
inference(forward_demodulation,[],[f466,f464]) ).
fof(f464,plain,
n3 = plus(n2,n1),
inference(forward_demodulation,[],[f463,f462]) ).
fof(f462,plain,
n2 = plus(n1,n1),
inference(forward_demodulation,[],[f435,f433]) ).
fof(f433,plain,
n1 = plus(n0,n1),
inference(definition_unfolding,[],[f302,f314]) ).
fof(f302,plain,
n1 = succ(n0),
inference(cnf_transformation,[],[f91]) ).
fof(f91,axiom,
n1 = succ(n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_1) ).
fof(f435,plain,
n2 = plus(plus(n0,n1),n1),
inference(definition_unfolding,[],[f304,f314,f314]) ).
fof(f304,plain,
n2 = succ(succ(n0)),
inference(cnf_transformation,[],[f92]) ).
fof(f92,axiom,
n2 = succ(succ(n0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_2) ).
fof(f463,plain,
n3 = plus(plus(n1,n1),n1),
inference(forward_demodulation,[],[f436,f433]) ).
fof(f436,plain,
n3 = plus(plus(plus(n0,n1),n1),n1),
inference(definition_unfolding,[],[f305,f314,f314,f314]) ).
fof(f305,plain,
n3 = succ(succ(succ(n0))),
inference(cnf_transformation,[],[f93]) ).
fof(f93,axiom,
n3 = succ(succ(succ(n0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_3) ).
fof(f466,plain,
n4 = plus(plus(n2,n1),n1),
inference(forward_demodulation,[],[f465,f462]) ).
fof(f465,plain,
n4 = plus(plus(plus(n1,n1),n1),n1),
inference(forward_demodulation,[],[f437,f433]) ).
fof(f437,plain,
n4 = plus(plus(plus(plus(n0,n1),n1),n1),n1),
inference(definition_unfolding,[],[f306,f314,f314,f314,f314]) ).
fof(f306,plain,
n4 = succ(succ(succ(succ(n0)))),
inference(cnf_transformation,[],[f89]) ).
fof(f89,axiom,
n4 = succ(succ(succ(succ(n0)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_4) ).
fof(f470,plain,
n5 = plus(plus(n3,n1),n1),
inference(forward_demodulation,[],[f469,f464]) ).
fof(f469,plain,
n5 = plus(plus(plus(n2,n1),n1),n1),
inference(forward_demodulation,[],[f468,f462]) ).
fof(f468,plain,
n5 = plus(plus(plus(plus(n1,n1),n1),n1),n1),
inference(forward_demodulation,[],[f438,f433]) ).
fof(f438,plain,
n5 = plus(plus(plus(plus(plus(n0,n1),n1),n1),n1),n1),
inference(definition_unfolding,[],[f307,f314,f314,f314,f314,f314]) ).
fof(f307,plain,
n5 = succ(succ(succ(succ(succ(n0))))),
inference(cnf_transformation,[],[f90]) ).
fof(f90,axiom,
n5 = succ(succ(succ(succ(succ(n0))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_5) ).
fof(f787,plain,
spl41_59,
inference(avatar_split_clause,[],[f467,f784]) ).
fof(f784,plain,
( spl41_59
<=> n4 = plus(n3,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_59])]) ).
fof(f782,plain,
spl41_58,
inference(avatar_split_clause,[],[f464,f779]) ).
fof(f779,plain,
( spl41_58
<=> n3 = plus(n2,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_58])]) ).
fof(f777,plain,
spl41_57,
inference(avatar_split_clause,[],[f462,f774]) ).
fof(f774,plain,
( spl41_57
<=> n2 = plus(n1,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_57])]) ).
fof(f772,plain,
spl41_56,
inference(avatar_split_clause,[],[f439,f770]) ).
fof(f770,plain,
( spl41_56
<=> ! [X0] : gt(plus(X0,n1),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_56])]) ).
fof(f439,plain,
! [X0] : gt(plus(X0,n1),X0),
inference(definition_unfolding,[],[f310,f314]) ).
fof(f310,plain,
! [X0] : gt(succ(X0),X0),
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] : gt(succ(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_succ) ).
fof(f768,plain,
spl41_55,
inference(avatar_split_clause,[],[f434,f765]) ).
fof(f765,plain,
( spl41_55
<=> n0 = plus(tptp_minus_1,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_55])]) ).
fof(f434,plain,
n0 = plus(tptp_minus_1,n1),
inference(definition_unfolding,[],[f303,f314]) ).
fof(f303,plain,
n0 = succ(tptp_minus_1),
inference(cnf_transformation,[],[f28]) ).
fof(f28,axiom,
n0 = succ(tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',succ_tptp_minus_1) ).
fof(f763,plain,
spl41_54,
inference(avatar_split_clause,[],[f433,f760]) ).
fof(f760,plain,
( spl41_54
<=> n1 = plus(n0,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_54])]) ).
fof(f754,plain,
( spl41_52
| ~ spl41_53
| ~ spl41_9
| ~ spl41_44 ),
inference(avatar_split_clause,[],[f707,f698,f521,f751,f747]) ).
fof(f521,plain,
( spl41_9
<=> ! [X7] :
( init = a_select2(rho_init,X7)
| ~ leq(X7,n4)
| ~ leq(n0,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_9])]) ).
fof(f698,plain,
( spl41_44
<=> ! [X0] : leq(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_44])]) ).
fof(f707,plain,
( ~ leq(n0,n4)
| init = a_select2(rho_init,n0)
| ~ spl41_9
| ~ spl41_44 ),
inference(resolution,[],[f699,f522]) ).
fof(f522,plain,
( ! [X7] :
( ~ leq(n0,X7)
| ~ leq(X7,n4)
| init = a_select2(rho_init,X7) )
| ~ spl41_9 ),
inference(avatar_component_clause,[],[f521]) ).
fof(f699,plain,
( ! [X0] : leq(X0,X0)
| ~ spl41_44 ),
inference(avatar_component_clause,[],[f698]) ).
fof(f745,plain,
spl41_51,
inference(avatar_split_clause,[],[f262,f743]) ).
fof(f743,plain,
( spl41_51
<=> ! [X9,X8] :
( init = a_select3(q_init,X8,X9)
| ~ leq(X9,n4)
| ~ leq(n0,X9)
| ~ leq(X8,n135299)
| ~ leq(n0,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_51])]) ).
fof(f262,plain,
! [X8,X9] :
( init = a_select3(q_init,X8,X9)
| ~ leq(X9,n4)
| ~ leq(n0,X9)
| ~ leq(X8,n135299)
| ~ leq(n0,X8) ),
inference(cnf_transformation,[],[f194]) ).
fof(f194,plain,
( init != a_select2(muold_init,sK13)
& leq(sK13,n4)
& leq(n0,sK13)
& ( ! [X1] :
( init = a_select2(sigmaold_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1) )
| ~ gt(loopcounter,n1) )
& ( ! [X2] :
( init = a_select2(rhoold_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
| ~ gt(loopcounter,n1) )
& ( ! [X3] :
( init = a_select2(muold_init,X3)
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
| ~ gt(loopcounter,n1) )
& ! [X4] :
( init = a_select3(center_init,X4,n0)
| ~ leq(X4,n4)
| ~ leq(n0,X4) )
& ! [X5] :
( init = a_select2(sigma_init,X5)
| ~ leq(X5,pred(pv40))
| ~ leq(n0,X5) )
& ! [X6] :
( init = a_select2(mu_init,X6)
| ~ leq(X6,pred(pv40))
| ~ leq(n0,X6) )
& ! [X7] :
( init = a_select2(rho_init,X7)
| ~ leq(X7,n4)
| ~ leq(n0,X7) )
& ! [X8] :
( ! [X9] :
( init = a_select3(q_init,X8,X9)
| ~ leq(X9,n4)
| ~ leq(n0,X9) )
| ~ leq(X8,n135299)
| ~ leq(n0,X8) )
& gt(loopcounter,n1)
& leq(pv44,n135299)
& leq(pv40,n4)
& leq(n0,pv44)
& leq(n0,pv40) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f192,f193]) ).
fof(f193,plain,
( ? [X0] :
( init != a_select2(muold_init,X0)
& leq(X0,n4)
& leq(n0,X0) )
=> ( init != a_select2(muold_init,sK13)
& leq(sK13,n4)
& leq(n0,sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f192,plain,
( ? [X0] :
( init != a_select2(muold_init,X0)
& leq(X0,n4)
& leq(n0,X0) )
& ( ! [X1] :
( init = a_select2(sigmaold_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1) )
| ~ gt(loopcounter,n1) )
& ( ! [X2] :
( init = a_select2(rhoold_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
| ~ gt(loopcounter,n1) )
& ( ! [X3] :
( init = a_select2(muold_init,X3)
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
| ~ gt(loopcounter,n1) )
& ! [X4] :
( init = a_select3(center_init,X4,n0)
| ~ leq(X4,n4)
| ~ leq(n0,X4) )
& ! [X5] :
( init = a_select2(sigma_init,X5)
| ~ leq(X5,pred(pv40))
| ~ leq(n0,X5) )
& ! [X6] :
( init = a_select2(mu_init,X6)
| ~ leq(X6,pred(pv40))
| ~ leq(n0,X6) )
& ! [X7] :
( init = a_select2(rho_init,X7)
| ~ leq(X7,n4)
| ~ leq(n0,X7) )
& ! [X8] :
( ! [X9] :
( init = a_select3(q_init,X8,X9)
| ~ leq(X9,n4)
| ~ leq(n0,X9) )
| ~ leq(X8,n135299)
| ~ leq(n0,X8) )
& gt(loopcounter,n1)
& leq(pv44,n135299)
& leq(pv40,n4)
& leq(n0,pv44)
& leq(n0,pv40) ),
inference(rectify,[],[f117]) ).
fof(f117,plain,
( ? [X9] :
( init != a_select2(muold_init,X9)
& leq(X9,n4)
& leq(n0,X9) )
& ( ! [X0] :
( init = a_select2(sigmaold_init,X0)
| ~ leq(X0,n4)
| ~ leq(n0,X0) )
| ~ gt(loopcounter,n1) )
& ( ! [X1] :
( init = a_select2(rhoold_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1) )
| ~ gt(loopcounter,n1) )
& ( ! [X2] :
( init = a_select2(muold_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
| ~ gt(loopcounter,n1) )
& ! [X3] :
( init = a_select3(center_init,X3,n0)
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
& ! [X4] :
( init = a_select2(sigma_init,X4)
| ~ leq(X4,pred(pv40))
| ~ leq(n0,X4) )
& ! [X5] :
( init = a_select2(mu_init,X5)
| ~ leq(X5,pred(pv40))
| ~ leq(n0,X5) )
& ! [X6] :
( init = a_select2(rho_init,X6)
| ~ leq(X6,n4)
| ~ leq(n0,X6) )
& ! [X7] :
( ! [X8] :
( init = a_select3(q_init,X7,X8)
| ~ leq(X8,n4)
| ~ leq(n0,X8) )
| ~ leq(X7,n135299)
| ~ leq(n0,X7) )
& gt(loopcounter,n1)
& leq(pv44,n135299)
& leq(pv40,n4)
& leq(n0,pv44)
& leq(n0,pv40) ),
inference(flattening,[],[f116]) ).
fof(f116,plain,
( ? [X9] :
( init != a_select2(muold_init,X9)
& leq(X9,n4)
& leq(n0,X9) )
& ( ! [X0] :
( init = a_select2(sigmaold_init,X0)
| ~ leq(X0,n4)
| ~ leq(n0,X0) )
| ~ gt(loopcounter,n1) )
& ( ! [X1] :
( init = a_select2(rhoold_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1) )
| ~ gt(loopcounter,n1) )
& ( ! [X2] :
( init = a_select2(muold_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
| ~ gt(loopcounter,n1) )
& ! [X3] :
( init = a_select3(center_init,X3,n0)
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
& ! [X4] :
( init = a_select2(sigma_init,X4)
| ~ leq(X4,pred(pv40))
| ~ leq(n0,X4) )
& ! [X5] :
( init = a_select2(mu_init,X5)
| ~ leq(X5,pred(pv40))
| ~ leq(n0,X5) )
& ! [X6] :
( init = a_select2(rho_init,X6)
| ~ leq(X6,n4)
| ~ leq(n0,X6) )
& ! [X7] :
( ! [X8] :
( init = a_select3(q_init,X7,X8)
| ~ leq(X8,n4)
| ~ leq(n0,X8) )
| ~ leq(X7,n135299)
| ~ leq(n0,X7) )
& gt(loopcounter,n1)
& leq(pv44,n135299)
& leq(pv40,n4)
& leq(n0,pv44)
& leq(n0,pv40) ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,plain,
~ ( ( ( gt(loopcounter,n1)
=> ! [X0] :
( ( leq(X0,n4)
& leq(n0,X0) )
=> init = a_select2(sigmaold_init,X0) ) )
& ( gt(loopcounter,n1)
=> ! [X1] :
( ( leq(X1,n4)
& leq(n0,X1) )
=> init = a_select2(rhoold_init,X1) ) )
& ( gt(loopcounter,n1)
=> ! [X2] :
( ( leq(X2,n4)
& leq(n0,X2) )
=> init = a_select2(muold_init,X2) ) )
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select3(center_init,X3,n0) )
& ! [X4] :
( ( leq(X4,pred(pv40))
& leq(n0,X4) )
=> init = a_select2(sigma_init,X4) )
& ! [X5] :
( ( leq(X5,pred(pv40))
& leq(n0,X5) )
=> init = a_select2(mu_init,X5) )
& ! [X6] :
( ( leq(X6,n4)
& leq(n0,X6) )
=> init = a_select2(rho_init,X6) )
& ! [X7] :
( ( leq(X7,n135299)
& leq(n0,X7) )
=> ! [X8] :
( ( leq(X8,n4)
& leq(n0,X8) )
=> init = a_select3(q_init,X7,X8) ) )
& gt(loopcounter,n1)
& leq(pv44,n135299)
& leq(pv40,n4)
& leq(n0,pv44)
& leq(n0,pv40) )
=> ! [X9] :
( ( leq(X9,n4)
& leq(n0,X9) )
=> init = a_select2(muold_init,X9) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( ( gt(loopcounter,n1)
=> ! [X4] :
( ( leq(X4,n4)
& leq(n0,X4) )
=> init = a_select2(sigmaold_init,X4) ) )
& ( gt(loopcounter,n1)
=> ! [X28] :
( ( leq(X28,n4)
& leq(n0,X28) )
=> init = a_select2(rhoold_init,X28) ) )
& ( gt(loopcounter,n1)
=> ! [X27] :
( ( leq(X27,n4)
& leq(n0,X27) )
=> init = a_select2(muold_init,X27) ) )
& ! [X21] :
( ( leq(X21,n4)
& leq(n0,X21) )
=> init = a_select3(center_init,X21,n0) )
& ! [X20] :
( ( leq(X20,pred(pv40))
& leq(n0,X20) )
=> init = a_select2(sigma_init,X20) )
& ! [X19] :
( ( leq(X19,pred(pv40))
& leq(n0,X19) )
=> init = a_select2(mu_init,X19) )
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select2(rho_init,X3) )
& ! [X13] :
( ( leq(X13,n135299)
& leq(n0,X13) )
=> ! [X17] :
( ( leq(X17,n4)
& leq(n0,X17) )
=> a_select3(q_init,X13,X17) = init ) )
& gt(loopcounter,n1)
& leq(pv44,n135299)
& leq(pv40,n4)
& leq(n0,pv44)
& leq(n0,pv40) )
=> ! [X10] :
( ( leq(X10,n4)
& leq(n0,X10) )
=> init = a_select2(muold_init,X10) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( ( gt(loopcounter,n1)
=> ! [X4] :
( ( leq(X4,n4)
& leq(n0,X4) )
=> init = a_select2(sigmaold_init,X4) ) )
& ( gt(loopcounter,n1)
=> ! [X28] :
( ( leq(X28,n4)
& leq(n0,X28) )
=> init = a_select2(rhoold_init,X28) ) )
& ( gt(loopcounter,n1)
=> ! [X27] :
( ( leq(X27,n4)
& leq(n0,X27) )
=> init = a_select2(muold_init,X27) ) )
& ! [X21] :
( ( leq(X21,n4)
& leq(n0,X21) )
=> init = a_select3(center_init,X21,n0) )
& ! [X20] :
( ( leq(X20,pred(pv40))
& leq(n0,X20) )
=> init = a_select2(sigma_init,X20) )
& ! [X19] :
( ( leq(X19,pred(pv40))
& leq(n0,X19) )
=> init = a_select2(mu_init,X19) )
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select2(rho_init,X3) )
& ! [X13] :
( ( leq(X13,n135299)
& leq(n0,X13) )
=> ! [X17] :
( ( leq(X17,n4)
& leq(n0,X17) )
=> a_select3(q_init,X13,X17) = init ) )
& gt(loopcounter,n1)
& leq(pv44,n135299)
& leq(pv40,n4)
& leq(n0,pv44)
& leq(n0,pv40) )
=> ! [X10] :
( ( leq(X10,n4)
& leq(n0,X10) )
=> init = a_select2(muold_init,X10) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_init_0056) ).
fof(f737,plain,
( ~ spl41_5
| spl41_50 ),
inference(avatar_split_clause,[],[f269,f735,f501]) ).
fof(f735,plain,
( spl41_50
<=> ! [X1] :
( init = a_select2(sigmaold_init,X1)
| ~ leq(n0,X1)
| ~ leq(X1,n4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_50])]) ).
fof(f269,plain,
! [X1] :
( init = a_select2(sigmaold_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1)
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f194]) ).
fof(f729,plain,
( ~ spl41_5
| spl41_49 ),
inference(avatar_split_clause,[],[f268,f727,f501]) ).
fof(f727,plain,
( spl41_49
<=> ! [X2] :
( init = a_select2(rhoold_init,X2)
| ~ leq(n0,X2)
| ~ leq(X2,n4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_49])]) ).
fof(f268,plain,
! [X2] :
( init = a_select2(rhoold_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2)
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f194]) ).
fof(f721,plain,
( ~ spl41_5
| spl41_48 ),
inference(avatar_split_clause,[],[f267,f719,f501]) ).
fof(f267,plain,
! [X3] :
( init = a_select2(muold_init,X3)
| ~ leq(X3,n4)
| ~ leq(n0,X3)
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f194]) ).
fof(f715,plain,
spl41_47,
inference(avatar_split_clause,[],[f432,f713]) ).
fof(f713,plain,
( spl41_47
<=> ! [X6] :
( init = a_select2(mu_init,X6)
| ~ leq(X6,minus(pv40,n1))
| ~ leq(n0,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_47])]) ).
fof(f432,plain,
! [X6] :
( init = a_select2(mu_init,X6)
| ~ leq(X6,minus(pv40,n1))
| ~ leq(n0,X6) ),
inference(definition_unfolding,[],[f264,f316]) ).
fof(f264,plain,
! [X6] :
( init = a_select2(mu_init,X6)
| ~ leq(X6,pred(pv40))
| ~ leq(n0,X6) ),
inference(cnf_transformation,[],[f194]) ).
fof(f711,plain,
spl41_46,
inference(avatar_split_clause,[],[f431,f709]) ).
fof(f709,plain,
( spl41_46
<=> ! [X5] :
( init = a_select2(sigma_init,X5)
| ~ leq(X5,minus(pv40,n1))
| ~ leq(n0,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_46])]) ).
fof(f431,plain,
! [X5] :
( init = a_select2(sigma_init,X5)
| ~ leq(X5,minus(pv40,n1))
| ~ leq(n0,X5) ),
inference(definition_unfolding,[],[f265,f316]) ).
fof(f265,plain,
! [X5] :
( init = a_select2(sigma_init,X5)
| ~ leq(X5,pred(pv40))
| ~ leq(n0,X5) ),
inference(cnf_transformation,[],[f194]) ).
fof(f705,plain,
( spl41_45
| ~ spl41_7
| ~ spl41_6
| ~ spl41_9 ),
inference(avatar_split_clause,[],[f526,f521,f506,f511,f702]) ).
fof(f702,plain,
( spl41_45
<=> init = a_select2(rho_init,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_45])]) ).
fof(f526,plain,
( ~ leq(sK13,n4)
| init = a_select2(rho_init,sK13)
| ~ spl41_6
| ~ spl41_9 ),
inference(resolution,[],[f522,f508]) ).
fof(f700,plain,
spl41_44,
inference(avatar_split_clause,[],[f309,f698]) ).
fof(f309,plain,
! [X0] : leq(X0,X0),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] : leq(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_leq) ).
fof(f696,plain,
spl41_43,
inference(avatar_split_clause,[],[f308,f694]) ).
fof(f694,plain,
( spl41_43
<=> ! [X0] : ~ gt(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_43])]) ).
fof(f308,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',irreflexivity_gt) ).
fof(f692,plain,
spl41_42,
inference(avatar_split_clause,[],[f301,f689]) ).
fof(f689,plain,
( spl41_42
<=> gt(n0,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_42])]) ).
fof(f301,plain,
gt(n0,tptp_minus_1),
inference(cnf_transformation,[],[f61]) ).
fof(f61,axiom,
gt(n0,tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_0_tptp_minus_1) ).
fof(f687,plain,
spl41_41,
inference(avatar_split_clause,[],[f300,f684]) ).
fof(f684,plain,
( spl41_41
<=> gt(n1,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_41])]) ).
fof(f300,plain,
gt(n1,n0),
inference(cnf_transformation,[],[f68]) ).
fof(f68,axiom,
gt(n1,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_1_0) ).
fof(f682,plain,
spl41_40,
inference(avatar_split_clause,[],[f299,f679]) ).
fof(f679,plain,
( spl41_40
<=> gt(n4,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_40])]) ).
fof(f299,plain,
gt(n4,n0),
inference(cnf_transformation,[],[f65]) ).
fof(f65,axiom,
gt(n4,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_4_0) ).
fof(f677,plain,
spl41_39,
inference(avatar_split_clause,[],[f298,f674]) ).
fof(f674,plain,
( spl41_39
<=> gt(n4,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_39])]) ).
fof(f298,plain,
gt(n4,n1),
inference(cnf_transformation,[],[f71]) ).
fof(f71,axiom,
gt(n4,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_4_1) ).
fof(f672,plain,
spl41_38,
inference(avatar_split_clause,[],[f297,f669]) ).
fof(f669,plain,
( spl41_38
<=> gt(n4,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_38])]) ).
fof(f297,plain,
gt(n4,n2),
inference(cnf_transformation,[],[f76]) ).
fof(f76,axiom,
gt(n4,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_4_2) ).
fof(f667,plain,
spl41_37,
inference(avatar_split_clause,[],[f296,f664]) ).
fof(f664,plain,
( spl41_37
<=> gt(n4,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_37])]) ).
fof(f296,plain,
gt(n4,n3),
inference(cnf_transformation,[],[f80]) ).
fof(f80,axiom,
gt(n4,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_4_3) ).
fof(f662,plain,
( spl41_35
| ~ spl41_36
| ~ spl41_2
| ~ spl41_9 ),
inference(avatar_split_clause,[],[f525,f521,f486,f659,f655]) ).
fof(f655,plain,
( spl41_35
<=> init = a_select2(rho_init,pv44) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_35])]) ).
fof(f659,plain,
( spl41_36
<=> leq(pv44,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_36])]) ).
fof(f525,plain,
( ~ leq(pv44,n4)
| init = a_select2(rho_init,pv44)
| ~ spl41_2
| ~ spl41_9 ),
inference(resolution,[],[f522,f488]) ).
fof(f653,plain,
spl41_34,
inference(avatar_split_clause,[],[f295,f650]) ).
fof(f650,plain,
( spl41_34
<=> gt(n1,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_34])]) ).
fof(f295,plain,
gt(n1,tptp_minus_1),
inference(cnf_transformation,[],[f62]) ).
fof(f62,axiom,
gt(n1,tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_1_tptp_minus_1) ).
fof(f648,plain,
spl41_33,
inference(avatar_split_clause,[],[f294,f645]) ).
fof(f645,plain,
( spl41_33
<=> gt(n4,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_33])]) ).
fof(f294,plain,
gt(n4,tptp_minus_1),
inference(cnf_transformation,[],[f58]) ).
fof(f58,axiom,
gt(n4,tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_4_tptp_minus_1) ).
fof(f643,plain,
spl41_32,
inference(avatar_split_clause,[],[f293,f640]) ).
fof(f640,plain,
( spl41_32
<=> gt(n2,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_32])]) ).
fof(f293,plain,
gt(n2,n0),
inference(cnf_transformation,[],[f69]) ).
fof(f69,axiom,
gt(n2,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_2_0) ).
fof(f638,plain,
spl41_31,
inference(avatar_split_clause,[],[f292,f635]) ).
fof(f635,plain,
( spl41_31
<=> gt(n2,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_31])]) ).
fof(f292,plain,
gt(n2,n1),
inference(cnf_transformation,[],[f74]) ).
fof(f74,axiom,
gt(n2,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_2_1) ).
fof(f633,plain,
spl41_30,
inference(avatar_split_clause,[],[f291,f630]) ).
fof(f630,plain,
( spl41_30
<=> gt(n2,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_30])]) ).
fof(f291,plain,
gt(n2,tptp_minus_1),
inference(cnf_transformation,[],[f63]) ).
fof(f63,axiom,
gt(n2,tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_2_tptp_minus_1) ).
fof(f628,plain,
spl41_29,
inference(avatar_split_clause,[],[f290,f625]) ).
fof(f625,plain,
( spl41_29
<=> gt(n3,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_29])]) ).
fof(f290,plain,
gt(n3,n0),
inference(cnf_transformation,[],[f70]) ).
fof(f70,axiom,
gt(n3,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_3_0) ).
fof(f623,plain,
spl41_28,
inference(avatar_split_clause,[],[f289,f620]) ).
fof(f620,plain,
( spl41_28
<=> gt(n3,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_28])]) ).
fof(f289,plain,
gt(n3,n1),
inference(cnf_transformation,[],[f75]) ).
fof(f75,axiom,
gt(n3,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_3_1) ).
fof(f618,plain,
spl41_27,
inference(avatar_split_clause,[],[f288,f615]) ).
fof(f615,plain,
( spl41_27
<=> gt(n3,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_27])]) ).
fof(f288,plain,
gt(n3,n2),
inference(cnf_transformation,[],[f79]) ).
fof(f79,axiom,
gt(n3,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_3_2) ).
fof(f613,plain,
spl41_26,
inference(avatar_split_clause,[],[f287,f610]) ).
fof(f610,plain,
( spl41_26
<=> gt(n3,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_26])]) ).
fof(f287,plain,
gt(n3,tptp_minus_1),
inference(cnf_transformation,[],[f64]) ).
fof(f64,axiom,
gt(n3,tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_3_tptp_minus_1) ).
fof(f608,plain,
spl41_25,
inference(avatar_split_clause,[],[f286,f605]) ).
fof(f605,plain,
( spl41_25
<=> gt(n5,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_25])]) ).
fof(f286,plain,
gt(n5,n0),
inference(cnf_transformation,[],[f66]) ).
fof(f66,axiom,
gt(n5,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_0) ).
fof(f603,plain,
spl41_24,
inference(avatar_split_clause,[],[f285,f600]) ).
fof(f600,plain,
( spl41_24
<=> gt(n5,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_24])]) ).
fof(f285,plain,
gt(n5,n1),
inference(cnf_transformation,[],[f72]) ).
fof(f72,axiom,
gt(n5,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_1) ).
fof(f598,plain,
spl41_23,
inference(avatar_split_clause,[],[f284,f595]) ).
fof(f595,plain,
( spl41_23
<=> gt(n5,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_23])]) ).
fof(f284,plain,
gt(n5,n4),
inference(cnf_transformation,[],[f55]) ).
fof(f55,axiom,
gt(n5,n4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_4) ).
fof(f593,plain,
spl41_22,
inference(avatar_split_clause,[],[f283,f590]) ).
fof(f590,plain,
( spl41_22
<=> gt(n5,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_22])]) ).
fof(f283,plain,
gt(n5,n2),
inference(cnf_transformation,[],[f77]) ).
fof(f77,axiom,
gt(n5,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_2) ).
fof(f588,plain,
spl41_21,
inference(avatar_split_clause,[],[f282,f585]) ).
fof(f585,plain,
( spl41_21
<=> gt(n5,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_21])]) ).
fof(f282,plain,
gt(n5,n3),
inference(cnf_transformation,[],[f81]) ).
fof(f81,axiom,
gt(n5,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_3) ).
fof(f583,plain,
spl41_20,
inference(avatar_split_clause,[],[f281,f580]) ).
fof(f580,plain,
( spl41_20
<=> gt(n5,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_20])]) ).
fof(f281,plain,
gt(n5,tptp_minus_1),
inference(cnf_transformation,[],[f59]) ).
fof(f59,axiom,
gt(n5,tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_tptp_minus_1) ).
fof(f578,plain,
spl41_19,
inference(avatar_split_clause,[],[f280,f575]) ).
fof(f575,plain,
( spl41_19
<=> gt(n135299,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_19])]) ).
fof(f280,plain,
gt(n135299,n0),
inference(cnf_transformation,[],[f67]) ).
fof(f67,axiom,
gt(n135299,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_135299_0) ).
fof(f573,plain,
spl41_18,
inference(avatar_split_clause,[],[f279,f570]) ).
fof(f570,plain,
( spl41_18
<=> gt(n135299,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_18])]) ).
fof(f279,plain,
gt(n135299,n4),
inference(cnf_transformation,[],[f56]) ).
fof(f56,axiom,
gt(n135299,n4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_135299_4) ).
fof(f568,plain,
spl41_17,
inference(avatar_split_clause,[],[f278,f565]) ).
fof(f565,plain,
( spl41_17
<=> gt(n135299,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_17])]) ).
fof(f278,plain,
gt(n135299,n1),
inference(cnf_transformation,[],[f73]) ).
fof(f73,axiom,
gt(n135299,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_135299_1) ).
fof(f563,plain,
spl41_16,
inference(avatar_split_clause,[],[f277,f560]) ).
fof(f560,plain,
( spl41_16
<=> gt(n135299,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_16])]) ).
fof(f277,plain,
gt(n135299,n2),
inference(cnf_transformation,[],[f78]) ).
fof(f78,axiom,
gt(n135299,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_135299_2) ).
fof(f558,plain,
spl41_15,
inference(avatar_split_clause,[],[f276,f555]) ).
fof(f555,plain,
( spl41_15
<=> gt(n135299,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_15])]) ).
fof(f276,plain,
gt(n135299,n3),
inference(cnf_transformation,[],[f82]) ).
fof(f82,axiom,
gt(n135299,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_135299_3) ).
fof(f553,plain,
( spl41_14
| ~ spl41_3
| ~ spl41_1
| ~ spl41_9 ),
inference(avatar_split_clause,[],[f524,f521,f481,f491,f550]) ).
fof(f550,plain,
( spl41_14
<=> init = a_select2(rho_init,pv40) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_14])]) ).
fof(f524,plain,
( ~ leq(pv40,n4)
| init = a_select2(rho_init,pv40)
| ~ spl41_1
| ~ spl41_9 ),
inference(resolution,[],[f522,f483]) ).
fof(f548,plain,
spl41_13,
inference(avatar_split_clause,[],[f275,f545]) ).
fof(f545,plain,
( spl41_13
<=> gt(n135299,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_13])]) ).
fof(f275,plain,
gt(n135299,n5),
inference(cnf_transformation,[],[f57]) ).
fof(f57,axiom,
gt(n135299,n5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_135299_5) ).
fof(f543,plain,
spl41_12,
inference(avatar_split_clause,[],[f274,f540]) ).
fof(f540,plain,
( spl41_12
<=> gt(n135299,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_12])]) ).
fof(f274,plain,
gt(n135299,tptp_minus_1),
inference(cnf_transformation,[],[f60]) ).
fof(f60,axiom,
gt(n135299,tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_135299_tptp_minus_1) ).
fof(f538,plain,
~ spl41_11,
inference(avatar_split_clause,[],[f273,f535]) ).
fof(f535,plain,
( spl41_11
<=> def = use ),
introduced(avatar_definition,[new_symbols(naming,[spl41_11])]) ).
fof(f273,plain,
def != use,
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
def != use,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',defuse) ).
fof(f530,plain,
spl41_10,
inference(avatar_split_clause,[],[f266,f528]) ).
fof(f528,plain,
( spl41_10
<=> ! [X4] :
( init = a_select3(center_init,X4,n0)
| ~ leq(X4,n4)
| ~ leq(n0,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_10])]) ).
fof(f266,plain,
! [X4] :
( init = a_select3(center_init,X4,n0)
| ~ leq(X4,n4)
| ~ leq(n0,X4) ),
inference(cnf_transformation,[],[f194]) ).
fof(f523,plain,
spl41_9,
inference(avatar_split_clause,[],[f263,f521]) ).
fof(f263,plain,
! [X7] :
( init = a_select2(rho_init,X7)
| ~ leq(X7,n4)
| ~ leq(n0,X7) ),
inference(cnf_transformation,[],[f194]) ).
fof(f519,plain,
~ spl41_8,
inference(avatar_split_clause,[],[f272,f516]) ).
fof(f272,plain,
init != a_select2(muold_init,sK13),
inference(cnf_transformation,[],[f194]) ).
fof(f514,plain,
spl41_7,
inference(avatar_split_clause,[],[f271,f511]) ).
fof(f271,plain,
leq(sK13,n4),
inference(cnf_transformation,[],[f194]) ).
fof(f509,plain,
spl41_6,
inference(avatar_split_clause,[],[f270,f506]) ).
fof(f270,plain,
leq(n0,sK13),
inference(cnf_transformation,[],[f194]) ).
fof(f504,plain,
spl41_5,
inference(avatar_split_clause,[],[f261,f501]) ).
fof(f261,plain,
gt(loopcounter,n1),
inference(cnf_transformation,[],[f194]) ).
fof(f499,plain,
spl41_4,
inference(avatar_split_clause,[],[f260,f496]) ).
fof(f496,plain,
( spl41_4
<=> leq(pv44,n135299) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_4])]) ).
fof(f260,plain,
leq(pv44,n135299),
inference(cnf_transformation,[],[f194]) ).
fof(f494,plain,
spl41_3,
inference(avatar_split_clause,[],[f259,f491]) ).
fof(f259,plain,
leq(pv40,n4),
inference(cnf_transformation,[],[f194]) ).
fof(f489,plain,
spl41_2,
inference(avatar_split_clause,[],[f258,f486]) ).
fof(f258,plain,
leq(n0,pv44),
inference(cnf_transformation,[],[f194]) ).
fof(f484,plain,
spl41_1,
inference(avatar_split_clause,[],[f257,f481]) ).
fof(f257,plain,
leq(n0,pv40),
inference(cnf_transformation,[],[f194]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWV176+1 : TPTP v8.2.0. Bugfixed v3.3.0.
% 0.04/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36 % Computer : n005.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Sun May 19 08:08:38 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 % (4442)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38 % (4445)WARNING: value z3 for option sas not known
% 0.22/0.38 % (4446)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.38 % (4443)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.38 % (4447)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.22/0.38 % (4444)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.38 % (4448)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.22/0.38 % (4445)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.38 % (4449)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.22/0.41 % (4447)First to succeed.
% 0.22/0.42 % (4447)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4442"
% 0.22/0.42 % (4447)Refutation found. Thanks to Tanya!
% 0.22/0.42 % SZS status Theorem for theBenchmark
% 0.22/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.43 % (4447)------------------------------
% 0.22/0.43 % (4447)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.43 % (4447)Termination reason: Refutation
% 0.22/0.43
% 0.22/0.43 % (4447)Memory used [KB]: 1576
% 0.22/0.43 % (4447)Time elapsed: 0.036 s
% 0.22/0.43 % (4447)Instructions burned: 59 (million)
% 0.22/0.43 % (4442)Success in time 0.058 s
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