TSTP Solution File: SWV069+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV069+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 : n014.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 06:09:07 EDT 2024
% Result : Theorem 0.20s 0.40s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 225
% Syntax : Number of formulae : 647 ( 222 unt; 0 def)
% Number of atoms : 1602 ( 144 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 1529 ( 574 ~; 495 |; 290 &)
% ( 148 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 162 ( 160 usr; 147 prp; 0-2 aty)
% Number of functors : 45 ( 45 usr; 12 con; 0-3 aty)
% Number of variables : 704 ( 614 !; 90 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1280,plain,
$false,
inference(avatar_sat_refutation,[],[f465,f470,f475,f480,f485,f490,f495,f500,f505,f510,f515,f520,f525,f530,f535,f540,f545,f550,f555,f560,f565,f570,f575,f580,f585,f590,f595,f600,f605,f610,f615,f619,f623,f632,f634,f639,f644,f648,f653,f658,f663,f668,f678,f684,f698,f703,f707,f712,f752,f756,f760,f781,f787,f792,f797,f802,f806,f811,f815,f820,f824,f829,f833,f839,f844,f848,f853,f857,f861,f866,f870,f875,f879,f884,f889,f893,f898,f902,f907,f911,f916,f920,f925,f929,f934,f938,f943,f947,f952,f956,f961,f965,f970,f974,f979,f984,f988,f993,f997,f1002,f1006,f1011,f1015,f1020,f1024,f1029,f1034,f1038,f1042,f1046,f1050,f1054,f1058,f1062,f1066,f1070,f1074,f1079,f1083,f1087,f1091,f1095,f1099,f1104,f1108,f1112,f1116,f1120,f1125,f1129,f1133,f1137,f1141,f1145,f1150,f1154,f1158,f1162,f1166,f1170,f1175,f1179,f1183,f1187,f1191,f1218,f1279]) ).
fof(f1279,plain,
( ~ spl40_118
| spl40_35
| ~ spl40_44
| ~ spl40_112 ),
inference(avatar_split_clause,[],[f1246,f1052,f681,f629,f1076]) ).
fof(f1076,plain,
( spl40_118
<=> gt(n5,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_118])]) ).
fof(f629,plain,
( spl40_35
<=> leq(n0,minus(n5,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_35])]) ).
fof(f681,plain,
( spl40_44
<=> n0 = tptp_float_0_0 ),
introduced(avatar_definition,[new_symbols(naming,[spl40_44])]) ).
fof(f1052,plain,
( spl40_112
<=> ! [X0,X1] :
( leq(X0,minus(X1,n1))
| ~ gt(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_112])]) ).
fof(f1246,plain,
( ~ gt(n5,tptp_float_0_0)
| spl40_35
| ~ spl40_44
| ~ spl40_112 ),
inference(forward_demodulation,[],[f1243,f683]) ).
fof(f683,plain,
( n0 = tptp_float_0_0
| ~ spl40_44 ),
inference(avatar_component_clause,[],[f681]) ).
fof(f1243,plain,
( ~ gt(n5,n0)
| spl40_35
| ~ spl40_112 ),
inference(resolution,[],[f1053,f631]) ).
fof(f631,plain,
( ~ leq(n0,minus(n5,n1))
| spl40_35 ),
inference(avatar_component_clause,[],[f629]) ).
fof(f1053,plain,
( ! [X0,X1] :
( leq(X0,minus(X1,n1))
| ~ gt(X1,X0) )
| ~ spl40_112 ),
inference(avatar_component_clause,[],[f1052]) ).
fof(f1218,plain,
( spl40_146
| ~ spl40_29
| ~ spl40_46 ),
inference(avatar_split_clause,[],[f714,f701,f602,f1215]) ).
fof(f1215,plain,
( spl40_146
<=> leq(tptp_minus_1,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_146])]) ).
fof(f602,plain,
( spl40_29
<=> gt(n1,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_29])]) ).
fof(f701,plain,
( spl40_46
<=> ! [X0,X1] :
( leq(X0,X1)
| ~ gt(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_46])]) ).
fof(f714,plain,
( leq(tptp_minus_1,n1)
| ~ spl40_29
| ~ spl40_46 ),
inference(resolution,[],[f702,f604]) ).
fof(f604,plain,
( gt(n1,tptp_minus_1)
| ~ spl40_29 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f702,plain,
( ! [X0,X1] :
( ~ gt(X1,X0)
| leq(X0,X1) )
| ~ spl40_46 ),
inference(avatar_component_clause,[],[f701]) ).
fof(f1191,plain,
( spl40_145
| ~ spl40_44
| ~ spl40_105 ),
inference(avatar_split_clause,[],[f1025,f1022,f681,f1189]) ).
fof(f1189,plain,
( spl40_145
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK39(X0,X1))
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_145])]) ).
fof(f1022,plain,
( spl40_105
<=> ! [X0,X1] :
( leq(n0,sK39(X0,X1))
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_105])]) ).
fof(f1025,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK39(X0,X1))
| ~ sP10(X0,X1) )
| ~ spl40_44
| ~ spl40_105 ),
inference(forward_demodulation,[],[f1023,f683]) ).
fof(f1023,plain,
( ! [X0,X1] :
( leq(n0,sK39(X0,X1))
| ~ sP10(X0,X1) )
| ~ spl40_105 ),
inference(avatar_component_clause,[],[f1022]) ).
fof(f1187,plain,
( spl40_144
| ~ spl40_44
| ~ spl40_103 ),
inference(avatar_split_clause,[],[f1016,f1013,f681,f1185]) ).
fof(f1185,plain,
( spl40_144
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK38(X0,X1))
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_144])]) ).
fof(f1013,plain,
( spl40_103
<=> ! [X0,X1] :
( leq(n0,sK38(X0,X1))
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_103])]) ).
fof(f1016,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK38(X0,X1))
| ~ sP10(X0,X1) )
| ~ spl40_44
| ~ spl40_103 ),
inference(forward_demodulation,[],[f1014,f683]) ).
fof(f1014,plain,
( ! [X0,X1] :
( leq(n0,sK38(X0,X1))
| ~ sP10(X0,X1) )
| ~ spl40_103 ),
inference(avatar_component_clause,[],[f1013]) ).
fof(f1183,plain,
( spl40_143
| ~ spl40_44
| ~ spl40_101 ),
inference(avatar_split_clause,[],[f1007,f1004,f681,f1181]) ).
fof(f1181,plain,
( spl40_143
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK37(X0,X1))
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_143])]) ).
fof(f1004,plain,
( spl40_101
<=> ! [X0,X1] :
( leq(n0,sK37(X0,X1))
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_101])]) ).
fof(f1007,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK37(X0,X1))
| ~ sP11(X0,X1) )
| ~ spl40_44
| ~ spl40_101 ),
inference(forward_demodulation,[],[f1005,f683]) ).
fof(f1005,plain,
( ! [X0,X1] :
( leq(n0,sK37(X0,X1))
| ~ sP11(X0,X1) )
| ~ spl40_101 ),
inference(avatar_component_clause,[],[f1004]) ).
fof(f1179,plain,
( spl40_142
| ~ spl40_44
| ~ spl40_99 ),
inference(avatar_split_clause,[],[f998,f995,f681,f1177]) ).
fof(f1177,plain,
( spl40_142
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK36(X0,X1))
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_142])]) ).
fof(f995,plain,
( spl40_99
<=> ! [X0,X1] :
( leq(n0,sK36(X0,X1))
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_99])]) ).
fof(f998,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK36(X0,X1))
| ~ sP11(X0,X1) )
| ~ spl40_44
| ~ spl40_99 ),
inference(forward_demodulation,[],[f996,f683]) ).
fof(f996,plain,
( ! [X0,X1] :
( leq(n0,sK36(X0,X1))
| ~ sP11(X0,X1) )
| ~ spl40_99 ),
inference(avatar_component_clause,[],[f995]) ).
fof(f1175,plain,
( spl40_141
| ~ spl40_31
| ~ spl40_44 ),
inference(avatar_split_clause,[],[f692,f681,f612,f1172]) ).
fof(f1172,plain,
( spl40_141
<=> gt(tptp_float_0_0,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_141])]) ).
fof(f612,plain,
( spl40_31
<=> gt(n0,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_31])]) ).
fof(f692,plain,
( gt(tptp_float_0_0,tptp_minus_1)
| ~ spl40_31
| ~ spl40_44 ),
inference(superposition,[],[f614,f683]) ).
fof(f614,plain,
( gt(n0,tptp_minus_1)
| ~ spl40_31 ),
inference(avatar_component_clause,[],[f612]) ).
fof(f1170,plain,
( spl40_140
| ~ spl40_44
| ~ spl40_97 ),
inference(avatar_split_clause,[],[f989,f986,f681,f1168]) ).
fof(f1168,plain,
( spl40_140
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK35(X0,X1))
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_140])]) ).
fof(f986,plain,
( spl40_97
<=> ! [X0,X1] :
( leq(n0,sK35(X0,X1))
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_97])]) ).
fof(f989,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK35(X0,X1))
| ~ sP12(X0,X1) )
| ~ spl40_44
| ~ spl40_97 ),
inference(forward_demodulation,[],[f987,f683]) ).
fof(f987,plain,
( ! [X0,X1] :
( leq(n0,sK35(X0,X1))
| ~ sP12(X0,X1) )
| ~ spl40_97 ),
inference(avatar_component_clause,[],[f986]) ).
fof(f1166,plain,
( spl40_139
| ~ spl40_44
| ~ spl40_94 ),
inference(avatar_split_clause,[],[f975,f972,f681,f1164]) ).
fof(f1164,plain,
( spl40_139
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK34(X0,X1))
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_139])]) ).
fof(f972,plain,
( spl40_94
<=> ! [X0,X1] :
( leq(n0,sK34(X0,X1))
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_94])]) ).
fof(f975,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK34(X0,X1))
| ~ sP12(X0,X1) )
| ~ spl40_44
| ~ spl40_94 ),
inference(forward_demodulation,[],[f973,f683]) ).
fof(f973,plain,
( ! [X0,X1] :
( leq(n0,sK34(X0,X1))
| ~ sP12(X0,X1) )
| ~ spl40_94 ),
inference(avatar_component_clause,[],[f972]) ).
fof(f1162,plain,
( spl40_138
| ~ spl40_44
| ~ spl40_92 ),
inference(avatar_split_clause,[],[f966,f963,f681,f1160]) ).
fof(f1160,plain,
( spl40_138
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK31(X0,X1))
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_138])]) ).
fof(f963,plain,
( spl40_92
<=> ! [X0,X1] :
( leq(n0,sK31(X0,X1))
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_92])]) ).
fof(f966,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK31(X0,X1))
| ~ sP8(X0,X1) )
| ~ spl40_44
| ~ spl40_92 ),
inference(forward_demodulation,[],[f964,f683]) ).
fof(f964,plain,
( ! [X0,X1] :
( leq(n0,sK31(X0,X1))
| ~ sP8(X0,X1) )
| ~ spl40_92 ),
inference(avatar_component_clause,[],[f963]) ).
fof(f1158,plain,
( spl40_137
| ~ spl40_44
| ~ spl40_90 ),
inference(avatar_split_clause,[],[f957,f954,f681,f1156]) ).
fof(f1156,plain,
( spl40_137
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK30(X0,X1))
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_137])]) ).
fof(f954,plain,
( spl40_90
<=> ! [X0,X1] :
( leq(n0,sK30(X0,X1))
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_90])]) ).
fof(f957,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK30(X0,X1))
| ~ sP8(X0,X1) )
| ~ spl40_44
| ~ spl40_90 ),
inference(forward_demodulation,[],[f955,f683]) ).
fof(f955,plain,
( ! [X0,X1] :
( leq(n0,sK30(X0,X1))
| ~ sP8(X0,X1) )
| ~ spl40_90 ),
inference(avatar_component_clause,[],[f954]) ).
fof(f1154,plain,
( spl40_136
| ~ spl40_44
| ~ spl40_88 ),
inference(avatar_split_clause,[],[f948,f945,f681,f1152]) ).
fof(f1152,plain,
( spl40_136
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK28(X0,X1))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_136])]) ).
fof(f945,plain,
( spl40_88
<=> ! [X0,X1] :
( leq(n0,sK28(X0,X1))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_88])]) ).
fof(f948,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK28(X0,X1))
| ~ sP7(X0,X1) )
| ~ spl40_44
| ~ spl40_88 ),
inference(forward_demodulation,[],[f946,f683]) ).
fof(f946,plain,
( ! [X0,X1] :
( leq(n0,sK28(X0,X1))
| ~ sP7(X0,X1) )
| ~ spl40_88 ),
inference(avatar_component_clause,[],[f945]) ).
fof(f1150,plain,
( spl40_135
| ~ spl40_30
| ~ spl40_44 ),
inference(avatar_split_clause,[],[f691,f681,f607,f1147]) ).
fof(f1147,plain,
( spl40_135
<=> gt(n1,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_135])]) ).
fof(f607,plain,
( spl40_30
<=> gt(n1,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_30])]) ).
fof(f691,plain,
( gt(n1,tptp_float_0_0)
| ~ spl40_30
| ~ spl40_44 ),
inference(superposition,[],[f609,f683]) ).
fof(f609,plain,
( gt(n1,n0)
| ~ spl40_30 ),
inference(avatar_component_clause,[],[f607]) ).
fof(f1145,plain,
( spl40_134
| ~ spl40_44
| ~ spl40_86 ),
inference(avatar_split_clause,[],[f939,f936,f681,f1143]) ).
fof(f1143,plain,
( spl40_134
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK27(X0,X1))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_134])]) ).
fof(f936,plain,
( spl40_86
<=> ! [X0,X1] :
( leq(n0,sK27(X0,X1))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_86])]) ).
fof(f939,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK27(X0,X1))
| ~ sP7(X0,X1) )
| ~ spl40_44
| ~ spl40_86 ),
inference(forward_demodulation,[],[f937,f683]) ).
fof(f937,plain,
( ! [X0,X1] :
( leq(n0,sK27(X0,X1))
| ~ sP7(X0,X1) )
| ~ spl40_86 ),
inference(avatar_component_clause,[],[f936]) ).
fof(f1141,plain,
( spl40_133
| ~ spl40_44
| ~ spl40_84 ),
inference(avatar_split_clause,[],[f930,f927,f681,f1139]) ).
fof(f1139,plain,
( spl40_133
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK26(X0,X1))
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_133])]) ).
fof(f927,plain,
( spl40_84
<=> ! [X0,X1] :
( leq(n0,sK26(X0,X1))
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_84])]) ).
fof(f930,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK26(X0,X1))
| ~ sP5(X0,X1) )
| ~ spl40_44
| ~ spl40_84 ),
inference(forward_demodulation,[],[f928,f683]) ).
fof(f928,plain,
( ! [X0,X1] :
( leq(n0,sK26(X0,X1))
| ~ sP5(X0,X1) )
| ~ spl40_84 ),
inference(avatar_component_clause,[],[f927]) ).
fof(f1137,plain,
( spl40_132
| ~ spl40_44
| ~ spl40_82 ),
inference(avatar_split_clause,[],[f921,f918,f681,f1135]) ).
fof(f1135,plain,
( spl40_132
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK25(X0,X1))
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_132])]) ).
fof(f918,plain,
( spl40_82
<=> ! [X0,X1] :
( leq(n0,sK25(X0,X1))
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_82])]) ).
fof(f921,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK25(X0,X1))
| ~ sP5(X0,X1) )
| ~ spl40_44
| ~ spl40_82 ),
inference(forward_demodulation,[],[f919,f683]) ).
fof(f919,plain,
( ! [X0,X1] :
( leq(n0,sK25(X0,X1))
| ~ sP5(X0,X1) )
| ~ spl40_82 ),
inference(avatar_component_clause,[],[f918]) ).
fof(f1133,plain,
( spl40_131
| ~ spl40_44
| ~ spl40_80 ),
inference(avatar_split_clause,[],[f912,f909,f681,f1131]) ).
fof(f1131,plain,
( spl40_131
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK24(X0,X1))
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_131])]) ).
fof(f909,plain,
( spl40_80
<=> ! [X0,X1] :
( leq(n0,sK24(X0,X1))
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_80])]) ).
fof(f912,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK24(X0,X1))
| ~ sP6(X0,X1) )
| ~ spl40_44
| ~ spl40_80 ),
inference(forward_demodulation,[],[f910,f683]) ).
fof(f910,plain,
( ! [X0,X1] :
( leq(n0,sK24(X0,X1))
| ~ sP6(X0,X1) )
| ~ spl40_80 ),
inference(avatar_component_clause,[],[f909]) ).
fof(f1129,plain,
( spl40_130
| ~ spl40_44
| ~ spl40_78 ),
inference(avatar_split_clause,[],[f903,f900,f681,f1127]) ).
fof(f1127,plain,
( spl40_130
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK23(X0,X1))
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_130])]) ).
fof(f900,plain,
( spl40_78
<=> ! [X0,X1] :
( leq(n0,sK23(X0,X1))
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_78])]) ).
fof(f903,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK23(X0,X1))
| ~ sP6(X0,X1) )
| ~ spl40_44
| ~ spl40_78 ),
inference(forward_demodulation,[],[f901,f683]) ).
fof(f901,plain,
( ! [X0,X1] :
( leq(n0,sK23(X0,X1))
| ~ sP6(X0,X1) )
| ~ spl40_78 ),
inference(avatar_component_clause,[],[f900]) ).
fof(f1125,plain,
( spl40_129
| ~ spl40_28
| ~ spl40_44 ),
inference(avatar_split_clause,[],[f690,f681,f597,f1122]) ).
fof(f1122,plain,
( spl40_129
<=> gt(n2,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_129])]) ).
fof(f597,plain,
( spl40_28
<=> gt(n2,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_28])]) ).
fof(f690,plain,
( gt(n2,tptp_float_0_0)
| ~ spl40_28
| ~ spl40_44 ),
inference(superposition,[],[f599,f683]) ).
fof(f599,plain,
( gt(n2,n0)
| ~ spl40_28 ),
inference(avatar_component_clause,[],[f597]) ).
fof(f1120,plain,
( spl40_128
| ~ spl40_44
| ~ spl40_76 ),
inference(avatar_split_clause,[],[f894,f891,f681,f1118]) ).
fof(f1118,plain,
( spl40_128
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK22(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_128])]) ).
fof(f891,plain,
( spl40_76
<=> ! [X0,X1] :
( leq(n0,sK22(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_76])]) ).
fof(f894,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK22(X0,X1))
| ~ sP3(X0,X1) )
| ~ spl40_44
| ~ spl40_76 ),
inference(forward_demodulation,[],[f892,f683]) ).
fof(f892,plain,
( ! [X0,X1] :
( leq(n0,sK22(X0,X1))
| ~ sP3(X0,X1) )
| ~ spl40_76 ),
inference(avatar_component_clause,[],[f891]) ).
fof(f1116,plain,
( spl40_127
| ~ spl40_44
| ~ spl40_73 ),
inference(avatar_split_clause,[],[f880,f877,f681,f1114]) ).
fof(f1114,plain,
( spl40_127
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK21(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_127])]) ).
fof(f877,plain,
( spl40_73
<=> ! [X0,X1] :
( leq(n0,sK21(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_73])]) ).
fof(f880,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK21(X0,X1))
| ~ sP3(X0,X1) )
| ~ spl40_44
| ~ spl40_73 ),
inference(forward_demodulation,[],[f878,f683]) ).
fof(f878,plain,
( ! [X0,X1] :
( leq(n0,sK21(X0,X1))
| ~ sP3(X0,X1) )
| ~ spl40_73 ),
inference(avatar_component_clause,[],[f877]) ).
fof(f1112,plain,
( spl40_126
| ~ spl40_44
| ~ spl40_71 ),
inference(avatar_split_clause,[],[f871,f868,f681,f1110]) ).
fof(f1110,plain,
( spl40_126
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK20(X0,X1))
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_126])]) ).
fof(f868,plain,
( spl40_71
<=> ! [X0,X1] :
( leq(n0,sK20(X0,X1))
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_71])]) ).
fof(f871,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK20(X0,X1))
| ~ sP4(X0,X1) )
| ~ spl40_44
| ~ spl40_71 ),
inference(forward_demodulation,[],[f869,f683]) ).
fof(f869,plain,
( ! [X0,X1] :
( leq(n0,sK20(X0,X1))
| ~ sP4(X0,X1) )
| ~ spl40_71 ),
inference(avatar_component_clause,[],[f868]) ).
fof(f1108,plain,
( spl40_125
| ~ spl40_44
| ~ spl40_69 ),
inference(avatar_split_clause,[],[f862,f859,f681,f1106]) ).
fof(f1106,plain,
( spl40_125
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK19(X0,X1))
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_125])]) ).
fof(f859,plain,
( spl40_69
<=> ! [X0,X1] :
( leq(n0,sK19(X0,X1))
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_69])]) ).
fof(f862,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK19(X0,X1))
| ~ sP4(X0,X1) )
| ~ spl40_44
| ~ spl40_69 ),
inference(forward_demodulation,[],[f860,f683]) ).
fof(f860,plain,
( ! [X0,X1] :
( leq(n0,sK19(X0,X1))
| ~ sP4(X0,X1) )
| ~ spl40_69 ),
inference(avatar_component_clause,[],[f859]) ).
fof(f1104,plain,
( spl40_124
| ~ spl40_25
| ~ spl40_44 ),
inference(avatar_split_clause,[],[f689,f681,f582,f1101]) ).
fof(f1101,plain,
( spl40_124
<=> gt(n3,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_124])]) ).
fof(f582,plain,
( spl40_25
<=> gt(n3,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_25])]) ).
fof(f689,plain,
( gt(n3,tptp_float_0_0)
| ~ spl40_25
| ~ spl40_44 ),
inference(superposition,[],[f584,f683]) ).
fof(f584,plain,
( gt(n3,n0)
| ~ spl40_25 ),
inference(avatar_component_clause,[],[f582]) ).
fof(f1099,plain,
( spl40_123
| ~ spl40_44
| ~ spl40_66 ),
inference(avatar_split_clause,[],[f849,f846,f681,f1097]) ).
fof(f1097,plain,
( spl40_123
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK18(X0,X1))
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_123])]) ).
fof(f846,plain,
( spl40_66
<=> ! [X0,X1] :
( leq(n0,sK18(X0,X1))
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_66])]) ).
fof(f849,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK18(X0,X1))
| ~ sP2(X0,X1) )
| ~ spl40_44
| ~ spl40_66 ),
inference(forward_demodulation,[],[f847,f683]) ).
fof(f847,plain,
( ! [X0,X1] :
( leq(n0,sK18(X0,X1))
| ~ sP2(X0,X1) )
| ~ spl40_66 ),
inference(avatar_component_clause,[],[f846]) ).
fof(f1095,plain,
( spl40_122
| ~ spl40_44
| ~ spl40_63 ),
inference(avatar_split_clause,[],[f834,f831,f681,f1093]) ).
fof(f1093,plain,
( spl40_122
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK17(X0,X1))
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_122])]) ).
fof(f831,plain,
( spl40_63
<=> ! [X0,X1] :
( leq(n0,sK17(X0,X1))
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_63])]) ).
fof(f834,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK17(X0,X1))
| ~ sP2(X0,X1) )
| ~ spl40_44
| ~ spl40_63 ),
inference(forward_demodulation,[],[f832,f683]) ).
fof(f832,plain,
( ! [X0,X1] :
( leq(n0,sK17(X0,X1))
| ~ sP2(X0,X1) )
| ~ spl40_63 ),
inference(avatar_component_clause,[],[f831]) ).
fof(f1091,plain,
( spl40_121
| ~ spl40_44
| ~ spl40_61 ),
inference(avatar_split_clause,[],[f825,f822,f681,f1089]) ).
fof(f1089,plain,
( spl40_121
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK16(X0,X1))
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_121])]) ).
fof(f822,plain,
( spl40_61
<=> ! [X0,X1] :
( leq(n0,sK16(X0,X1))
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_61])]) ).
fof(f825,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK16(X0,X1))
| ~ sP1(X0,X1) )
| ~ spl40_44
| ~ spl40_61 ),
inference(forward_demodulation,[],[f823,f683]) ).
fof(f823,plain,
( ! [X0,X1] :
( leq(n0,sK16(X0,X1))
| ~ sP1(X0,X1) )
| ~ spl40_61 ),
inference(avatar_component_clause,[],[f822]) ).
fof(f1087,plain,
( spl40_120
| ~ spl40_44
| ~ spl40_59 ),
inference(avatar_split_clause,[],[f816,f813,f681,f1085]) ).
fof(f1085,plain,
( spl40_120
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK15(X0,X1))
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_120])]) ).
fof(f813,plain,
( spl40_59
<=> ! [X0,X1] :
( leq(n0,sK15(X0,X1))
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_59])]) ).
fof(f816,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK15(X0,X1))
| ~ sP1(X0,X1) )
| ~ spl40_44
| ~ spl40_59 ),
inference(forward_demodulation,[],[f814,f683]) ).
fof(f814,plain,
( ! [X0,X1] :
( leq(n0,sK15(X0,X1))
| ~ sP1(X0,X1) )
| ~ spl40_59 ),
inference(avatar_component_clause,[],[f813]) ).
fof(f1083,plain,
( spl40_119
| ~ spl40_44
| ~ spl40_57 ),
inference(avatar_split_clause,[],[f807,f804,f681,f1081]) ).
fof(f1081,plain,
( spl40_119
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK14(X0,X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_119])]) ).
fof(f804,plain,
( spl40_57
<=> ! [X0,X1] :
( leq(n0,sK14(X0,X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_57])]) ).
fof(f807,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK14(X0,X1))
| ~ sP0(X0,X1) )
| ~ spl40_44
| ~ spl40_57 ),
inference(forward_demodulation,[],[f805,f683]) ).
fof(f805,plain,
( ! [X0,X1] :
( leq(n0,sK14(X0,X1))
| ~ sP0(X0,X1) )
| ~ spl40_57 ),
inference(avatar_component_clause,[],[f804]) ).
fof(f1079,plain,
( spl40_118
| ~ spl40_21
| ~ spl40_44 ),
inference(avatar_split_clause,[],[f688,f681,f562,f1076]) ).
fof(f562,plain,
( spl40_21
<=> gt(n5,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_21])]) ).
fof(f688,plain,
( gt(n5,tptp_float_0_0)
| ~ spl40_21
| ~ spl40_44 ),
inference(superposition,[],[f564,f683]) ).
fof(f564,plain,
( gt(n5,n0)
| ~ spl40_21 ),
inference(avatar_component_clause,[],[f562]) ).
fof(f1074,plain,
( spl40_117
| ~ spl40_44
| ~ spl40_55 ),
inference(avatar_split_clause,[],[f798,f795,f681,f1072]) ).
fof(f1072,plain,
( spl40_117
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK13(X0,X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_117])]) ).
fof(f795,plain,
( spl40_55
<=> ! [X0,X1] :
( leq(n0,sK13(X0,X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_55])]) ).
fof(f798,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK13(X0,X1))
| ~ sP0(X0,X1) )
| ~ spl40_44
| ~ spl40_55 ),
inference(forward_demodulation,[],[f796,f683]) ).
fof(f796,plain,
( ! [X0,X1] :
( leq(n0,sK13(X0,X1))
| ~ sP0(X0,X1) )
| ~ spl40_55 ),
inference(avatar_component_clause,[],[f795]) ).
fof(f1070,plain,
( spl40_116
| ~ spl40_44
| ~ spl40_54 ),
inference(avatar_split_clause,[],[f793,f790,f681,f1068]) ).
fof(f1068,plain,
( spl40_116
<=> ! [X0,X1] :
( leq(tptp_float_0_0,X1)
| ~ leq(minus(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_116])]) ).
fof(f790,plain,
( spl40_54
<=> ! [X0,X1] :
( leq(n0,X1)
| ~ leq(minus(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_54])]) ).
fof(f793,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,X1)
| ~ leq(minus(X0,X1),X0) )
| ~ spl40_44
| ~ spl40_54 ),
inference(forward_demodulation,[],[f791,f683]) ).
fof(f791,plain,
( ! [X0,X1] :
( leq(n0,X1)
| ~ leq(minus(X0,X1),X0) )
| ~ spl40_54 ),
inference(avatar_component_clause,[],[f790]) ).
fof(f1066,plain,
( spl40_115
| ~ spl40_44
| ~ spl40_53 ),
inference(avatar_split_clause,[],[f788,f785,f681,f1064]) ).
fof(f1064,plain,
( spl40_115
<=> ! [X0,X1] :
( ~ leq(tptp_float_0_0,X0)
| leq(uniform_int_rnd(X1,X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_115])]) ).
fof(f785,plain,
( spl40_53
<=> ! [X0,X1] :
( leq(uniform_int_rnd(X1,X0),X0)
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_53])]) ).
fof(f788,plain,
( ! [X0,X1] :
( ~ leq(tptp_float_0_0,X0)
| leq(uniform_int_rnd(X1,X0),X0) )
| ~ spl40_44
| ~ spl40_53 ),
inference(forward_demodulation,[],[f786,f683]) ).
fof(f786,plain,
( ! [X0,X1] :
( leq(uniform_int_rnd(X1,X0),X0)
| ~ leq(n0,X0) )
| ~ spl40_53 ),
inference(avatar_component_clause,[],[f785]) ).
fof(f1062,plain,
( spl40_114
| ~ spl40_44
| ~ spl40_52 ),
inference(avatar_split_clause,[],[f783,f779,f681,f1060]) ).
fof(f1060,plain,
( spl40_114
<=> ! [X0,X1] :
( ~ leq(tptp_float_0_0,X0)
| leq(tptp_float_0_0,uniform_int_rnd(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_114])]) ).
fof(f779,plain,
( spl40_52
<=> ! [X0,X1] :
( leq(n0,uniform_int_rnd(X1,X0))
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_52])]) ).
fof(f783,plain,
( ! [X0,X1] :
( ~ leq(tptp_float_0_0,X0)
| leq(tptp_float_0_0,uniform_int_rnd(X1,X0)) )
| ~ spl40_44
| ~ spl40_52 ),
inference(forward_demodulation,[],[f782,f683]) ).
fof(f782,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,uniform_int_rnd(X1,X0))
| ~ leq(n0,X0) )
| ~ spl40_44
| ~ spl40_52 ),
inference(forward_demodulation,[],[f780,f683]) ).
fof(f780,plain,
( ! [X0,X1] :
( leq(n0,uniform_int_rnd(X1,X0))
| ~ leq(n0,X0) )
| ~ spl40_52 ),
inference(avatar_component_clause,[],[f779]) ).
fof(f1058,plain,
spl40_113,
inference(avatar_split_clause,[],[f437,f1056]) ).
fof(f1056,plain,
( spl40_113
<=> ! [X0,X1] :
( gt(X1,X0)
| ~ leq(X0,minus(X1,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_113])]) ).
fof(f437,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(X0,minus(X1,n1)) ),
inference(definition_unfolding,[],[f343,f299]) ).
fof(f299,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0] : minus(X0,n1) = pred(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pred_minus_1) ).
fof(f343,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(X0,pred(X1)) ),
inference(cnf_transformation,[],[f204]) ).
fof(f204,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/sandbox2/benchmark/theBenchmark.p',leq_gt_pred) ).
fof(f1054,plain,
spl40_112,
inference(avatar_split_clause,[],[f436,f1052]) ).
fof(f436,plain,
! [X0,X1] :
( leq(X0,minus(X1,n1))
| ~ gt(X1,X0) ),
inference(definition_unfolding,[],[f344,f299]) ).
fof(f344,plain,
! [X0,X1] :
( leq(X0,pred(X1))
| ~ gt(X1,X0) ),
inference(cnf_transformation,[],[f204]) ).
fof(f1050,plain,
spl40_111,
inference(avatar_split_clause,[],[f435,f1048]) ).
fof(f1048,plain,
( spl40_111
<=> ! [X0,X1] :
( gt(plus(X1,n1),X0)
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_111])]) ).
fof(f435,plain,
! [X0,X1] :
( gt(plus(X1,n1),X0)
| ~ leq(X0,X1) ),
inference(definition_unfolding,[],[f341,f297]) ).
fof(f297,plain,
! [X0] : succ(X0) = plus(X0,n1),
inference(cnf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] : succ(X0) = plus(X0,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_1_r) ).
fof(f341,plain,
! [X0,X1] :
( gt(succ(X1),X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f203]) ).
fof(f203,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/sandbox2/benchmark/theBenchmark.p',leq_succ_gt_equiv) ).
fof(f1046,plain,
spl40_110,
inference(avatar_split_clause,[],[f434,f1044]) ).
fof(f1044,plain,
( spl40_110
<=> ! [X0,X1] :
( leq(X0,X1)
| ~ gt(plus(X1,n1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_110])]) ).
fof(f434,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ gt(plus(X1,n1),X0) ),
inference(definition_unfolding,[],[f342,f297]) ).
fof(f342,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ gt(succ(X1),X0) ),
inference(cnf_transformation,[],[f203]) ).
fof(f1042,plain,
spl40_109,
inference(avatar_split_clause,[],[f433,f1040]) ).
fof(f1040,plain,
( spl40_109
<=> ! [X0,X1] :
( gt(X1,X0)
| ~ leq(plus(X0,n1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_109])]) ).
fof(f433,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(plus(X0,n1),X1) ),
inference(definition_unfolding,[],[f320,f297]) ).
fof(f320,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(succ(X0),X1) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,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/sandbox2/benchmark/theBenchmark.p',leq_succ_gt) ).
fof(f1038,plain,
spl40_108,
inference(avatar_split_clause,[],[f432,f1036]) ).
fof(f1036,plain,
( spl40_108
<=> ! [X0,X1] :
( leq(X0,plus(X1,n1))
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_108])]) ).
fof(f432,plain,
! [X0,X1] :
( leq(X0,plus(X1,n1))
| ~ leq(X0,X1) ),
inference(definition_unfolding,[],[f316,f297]) ).
fof(f316,plain,
! [X0,X1] :
( leq(X0,succ(X1))
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,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/sandbox2/benchmark/theBenchmark.p',leq_succ) ).
fof(f1034,plain,
( spl40_107
| ~ spl40_20
| ~ spl40_44 ),
inference(avatar_split_clause,[],[f687,f681,f557,f1031]) ).
fof(f1031,plain,
( spl40_107
<=> gt(n4,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_107])]) ).
fof(f557,plain,
( spl40_20
<=> gt(n4,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_20])]) ).
fof(f687,plain,
( gt(n4,tptp_float_0_0)
| ~ spl40_20
| ~ spl40_44 ),
inference(superposition,[],[f559,f683]) ).
fof(f559,plain,
( gt(n4,n0)
| ~ spl40_20 ),
inference(avatar_component_clause,[],[f557]) ).
fof(f1029,plain,
spl40_106,
inference(avatar_split_clause,[],[f411,f1027]) ).
fof(f1027,plain,
( spl40_106
<=> ! [X0,X1] :
( leq(sK39(X0,X1),X1)
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_106])]) ).
fof(f411,plain,
! [X0,X1] :
( leq(sK39(X0,X1),X1)
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f251]) ).
fof(f251,plain,
! [X0,X1] :
( ( a_select3(X0,sK38(X0,X1),sK39(X0,X1)) != a_select3(X0,sK39(X0,X1),sK38(X0,X1))
& leq(sK39(X0,X1),X1)
& leq(n0,sK39(X0,X1))
& leq(sK38(X0,X1),X1)
& leq(n0,sK38(X0,X1)) )
| ~ sP10(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK38,sK39])],[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,sK38(X0,X1),sK39(X0,X1)) != a_select3(X0,sK39(X0,X1),sK38(X0,X1))
& leq(sK39(X0,X1),X1)
& leq(n0,sK39(X0,X1))
& leq(sK38(X0,X1),X1)
& leq(n0,sK38(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) )
| ~ sP10(X0,X1) ),
inference(rectify,[],[f248]) ).
fof(f248,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,[],[f187]) ).
fof(f187,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(f1024,plain,
spl40_105,
inference(avatar_split_clause,[],[f410,f1022]) ).
fof(f410,plain,
! [X0,X1] :
( leq(n0,sK39(X0,X1))
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f251]) ).
fof(f1020,plain,
spl40_104,
inference(avatar_split_clause,[],[f409,f1018]) ).
fof(f1018,plain,
( spl40_104
<=> ! [X0,X1] :
( leq(sK38(X0,X1),X1)
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_104])]) ).
fof(f409,plain,
! [X0,X1] :
( leq(sK38(X0,X1),X1)
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f251]) ).
fof(f1015,plain,
spl40_103,
inference(avatar_split_clause,[],[f408,f1013]) ).
fof(f408,plain,
! [X0,X1] :
( leq(n0,sK38(X0,X1))
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f251]) ).
fof(f1011,plain,
spl40_102,
inference(avatar_split_clause,[],[f406,f1009]) ).
fof(f1009,plain,
( spl40_102
<=> ! [X0,X1] :
( leq(sK37(X0,X1),X1)
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_102])]) ).
fof(f406,plain,
! [X0,X1] :
( leq(sK37(X0,X1),X1)
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f247]) ).
fof(f247,plain,
! [X0,X1] :
( ( a_select3(X0,sK36(X0,X1),sK37(X0,X1)) != a_select3(X0,sK37(X0,X1),sK36(X0,X1))
& leq(sK37(X0,X1),X1)
& leq(n0,sK37(X0,X1))
& leq(sK36(X0,X1),X1)
& leq(n0,sK36(X0,X1)) )
| ~ sP11(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK36,sK37])],[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,sK36(X0,X1),sK37(X0,X1)) != a_select3(X0,sK37(X0,X1),sK36(X0,X1))
& leq(sK37(X0,X1),X1)
& leq(n0,sK37(X0,X1))
& leq(sK36(X0,X1),X1)
& leq(n0,sK36(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) )
| ~ sP11(X0,X1) ),
inference(rectify,[],[f244]) ).
fof(f244,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,[],[f188]) ).
fof(f188,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(f1006,plain,
spl40_101,
inference(avatar_split_clause,[],[f405,f1004]) ).
fof(f405,plain,
! [X0,X1] :
( leq(n0,sK37(X0,X1))
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f247]) ).
fof(f1002,plain,
spl40_100,
inference(avatar_split_clause,[],[f404,f1000]) ).
fof(f1000,plain,
( spl40_100
<=> ! [X0,X1] :
( leq(sK36(X0,X1),X1)
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_100])]) ).
fof(f404,plain,
! [X0,X1] :
( leq(sK36(X0,X1),X1)
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f247]) ).
fof(f997,plain,
spl40_99,
inference(avatar_split_clause,[],[f403,f995]) ).
fof(f403,plain,
! [X0,X1] :
( leq(n0,sK36(X0,X1))
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f247]) ).
fof(f993,plain,
spl40_98,
inference(avatar_split_clause,[],[f401,f991]) ).
fof(f991,plain,
( spl40_98
<=> ! [X0,X1] :
( leq(sK35(X0,X1),X1)
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_98])]) ).
fof(f401,plain,
! [X0,X1] :
( leq(sK35(X0,X1),X1)
| ~ sP12(X0,X1) ),
inference(cnf_transformation,[],[f243]) ).
fof(f243,plain,
! [X0,X1] :
( ( a_select3(X0,sK34(X0,X1),sK35(X0,X1)) != a_select3(X0,sK35(X0,X1),sK34(X0,X1))
& leq(sK35(X0,X1),X1)
& leq(n0,sK35(X0,X1))
& leq(sK34(X0,X1),X1)
& leq(n0,sK34(X0,X1)) )
| ~ sP12(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK34,sK35])],[f241,f242]) ).
fof(f242,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,sK34(X0,X1),sK35(X0,X1)) != a_select3(X0,sK35(X0,X1),sK34(X0,X1))
& leq(sK35(X0,X1),X1)
& leq(n0,sK35(X0,X1))
& leq(sK34(X0,X1),X1)
& leq(n0,sK34(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f241,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,[],[f240]) ).
fof(f240,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,[],[f189]) ).
fof(f189,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(f988,plain,
spl40_97,
inference(avatar_split_clause,[],[f400,f986]) ).
fof(f400,plain,
! [X0,X1] :
( leq(n0,sK35(X0,X1))
| ~ sP12(X0,X1) ),
inference(cnf_transformation,[],[f243]) ).
fof(f984,plain,
( spl40_96
| ~ spl40_10
| ~ spl40_44 ),
inference(avatar_split_clause,[],[f686,f681,f507,f981]) ).
fof(f981,plain,
( spl40_96
<=> gt(n135300,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_96])]) ).
fof(f507,plain,
( spl40_10
<=> gt(n135300,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_10])]) ).
fof(f686,plain,
( gt(n135300,tptp_float_0_0)
| ~ spl40_10
| ~ spl40_44 ),
inference(superposition,[],[f509,f683]) ).
fof(f509,plain,
( gt(n135300,n0)
| ~ spl40_10 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f979,plain,
spl40_95,
inference(avatar_split_clause,[],[f399,f977]) ).
fof(f977,plain,
( spl40_95
<=> ! [X0,X1] :
( leq(sK34(X0,X1),X1)
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_95])]) ).
fof(f399,plain,
! [X0,X1] :
( leq(sK34(X0,X1),X1)
| ~ sP12(X0,X1) ),
inference(cnf_transformation,[],[f243]) ).
fof(f974,plain,
spl40_94,
inference(avatar_split_clause,[],[f398,f972]) ).
fof(f398,plain,
! [X0,X1] :
( leq(n0,sK34(X0,X1))
| ~ sP12(X0,X1) ),
inference(cnf_transformation,[],[f243]) ).
fof(f970,plain,
spl40_93,
inference(avatar_split_clause,[],[f386,f968]) ).
fof(f968,plain,
( spl40_93
<=> ! [X0,X1] :
( leq(sK31(X0,X1),X1)
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_93])]) ).
fof(f386,plain,
! [X0,X1] :
( leq(sK31(X0,X1),X1)
| ~ sP8(X0,X1) ),
inference(cnf_transformation,[],[f234]) ).
fof(f234,plain,
! [X0,X1] :
( ( a_select3(X0,sK30(X0,X1),sK31(X0,X1)) != a_select3(X0,sK31(X0,X1),sK30(X0,X1))
& leq(sK31(X0,X1),X1)
& leq(n0,sK31(X0,X1))
& leq(sK30(X0,X1),X1)
& leq(n0,sK30(X0,X1)) )
| ~ sP8(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK30,sK31])],[f232,f233]) ).
fof(f233,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,sK30(X0,X1),sK31(X0,X1)) != a_select3(X0,sK31(X0,X1),sK30(X0,X1))
& leq(sK31(X0,X1),X1)
& leq(n0,sK31(X0,X1))
& leq(sK30(X0,X1),X1)
& leq(n0,sK30(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f232,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,[],[f231]) ).
fof(f231,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,[],[f183]) ).
fof(f183,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(f965,plain,
spl40_92,
inference(avatar_split_clause,[],[f385,f963]) ).
fof(f385,plain,
! [X0,X1] :
( leq(n0,sK31(X0,X1))
| ~ sP8(X0,X1) ),
inference(cnf_transformation,[],[f234]) ).
fof(f961,plain,
spl40_91,
inference(avatar_split_clause,[],[f384,f959]) ).
fof(f959,plain,
( spl40_91
<=> ! [X0,X1] :
( leq(sK30(X0,X1),X1)
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_91])]) ).
fof(f384,plain,
! [X0,X1] :
( leq(sK30(X0,X1),X1)
| ~ sP8(X0,X1) ),
inference(cnf_transformation,[],[f234]) ).
fof(f956,plain,
spl40_90,
inference(avatar_split_clause,[],[f383,f954]) ).
fof(f383,plain,
! [X0,X1] :
( leq(n0,sK30(X0,X1))
| ~ sP8(X0,X1) ),
inference(cnf_transformation,[],[f234]) ).
fof(f952,plain,
spl40_89,
inference(avatar_split_clause,[],[f375,f950]) ).
fof(f950,plain,
( spl40_89
<=> ! [X0,X1] :
( leq(sK28(X0,X1),X1)
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_89])]) ).
fof(f375,plain,
! [X0,X1] :
( leq(sK28(X0,X1),X1)
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f227]) ).
fof(f227,plain,
! [X0,X1] :
( ( a_select3(X0,sK27(X0,X1),sK28(X0,X1)) != a_select3(X0,sK28(X0,X1),sK27(X0,X1))
& leq(sK28(X0,X1),X1)
& leq(n0,sK28(X0,X1))
& leq(sK27(X0,X1),X1)
& leq(n0,sK27(X0,X1)) )
| ~ sP7(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27,sK28])],[f225,f226]) ).
fof(f226,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,sK27(X0,X1),sK28(X0,X1)) != a_select3(X0,sK28(X0,X1),sK27(X0,X1))
& leq(sK28(X0,X1),X1)
& leq(n0,sK28(X0,X1))
& leq(sK27(X0,X1),X1)
& leq(n0,sK27(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
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) )
| ~ sP7(X0,X1) ),
inference(rectify,[],[f224]) ).
fof(f224,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,[],[f181]) ).
fof(f181,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(f947,plain,
spl40_88,
inference(avatar_split_clause,[],[f374,f945]) ).
fof(f374,plain,
! [X0,X1] :
( leq(n0,sK28(X0,X1))
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f227]) ).
fof(f943,plain,
spl40_87,
inference(avatar_split_clause,[],[f373,f941]) ).
fof(f941,plain,
( spl40_87
<=> ! [X0,X1] :
( leq(sK27(X0,X1),X1)
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_87])]) ).
fof(f373,plain,
! [X0,X1] :
( leq(sK27(X0,X1),X1)
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f227]) ).
fof(f938,plain,
spl40_86,
inference(avatar_split_clause,[],[f372,f936]) ).
fof(f372,plain,
! [X0,X1] :
( leq(n0,sK27(X0,X1))
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f227]) ).
fof(f934,plain,
spl40_85,
inference(avatar_split_clause,[],[f369,f932]) ).
fof(f932,plain,
( spl40_85
<=> ! [X0,X1] :
( leq(sK26(X0,X1),X1)
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_85])]) ).
fof(f369,plain,
! [X0,X1] :
( leq(sK26(X0,X1),X1)
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f222]) ).
fof(f222,plain,
! [X0,X1] :
( ( a_select3(X0,sK25(X0,X1),sK26(X0,X1)) != a_select3(X0,sK26(X0,X1),sK25(X0,X1))
& leq(sK26(X0,X1),X1)
& leq(n0,sK26(X0,X1))
& leq(sK25(X0,X1),X1)
& leq(n0,sK25(X0,X1)) )
| ~ sP5(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25,sK26])],[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,sK25(X0,X1),sK26(X0,X1)) != a_select3(X0,sK26(X0,X1),sK25(X0,X1))
& leq(sK26(X0,X1),X1)
& leq(n0,sK26(X0,X1))
& leq(sK25(X0,X1),X1)
& leq(n0,sK25(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) )
| ~ sP5(X0,X1) ),
inference(rectify,[],[f219]) ).
fof(f219,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,[],[f178]) ).
fof(f178,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(f929,plain,
spl40_84,
inference(avatar_split_clause,[],[f368,f927]) ).
fof(f368,plain,
! [X0,X1] :
( leq(n0,sK26(X0,X1))
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f222]) ).
fof(f925,plain,
spl40_83,
inference(avatar_split_clause,[],[f367,f923]) ).
fof(f923,plain,
( spl40_83
<=> ! [X0,X1] :
( leq(sK25(X0,X1),X1)
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_83])]) ).
fof(f367,plain,
! [X0,X1] :
( leq(sK25(X0,X1),X1)
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f222]) ).
fof(f920,plain,
spl40_82,
inference(avatar_split_clause,[],[f366,f918]) ).
fof(f366,plain,
! [X0,X1] :
( leq(n0,sK25(X0,X1))
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f222]) ).
fof(f916,plain,
spl40_81,
inference(avatar_split_clause,[],[f364,f914]) ).
fof(f914,plain,
( spl40_81
<=> ! [X0,X1] :
( leq(sK24(X0,X1),X1)
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_81])]) ).
fof(f364,plain,
! [X0,X1] :
( leq(sK24(X0,X1),X1)
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f218]) ).
fof(f218,plain,
! [X0,X1] :
( ( a_select3(X0,sK23(X0,X1),sK24(X0,X1)) != a_select3(X0,sK24(X0,X1),sK23(X0,X1))
& leq(sK24(X0,X1),X1)
& leq(n0,sK24(X0,X1))
& leq(sK23(X0,X1),X1)
& leq(n0,sK23(X0,X1)) )
| ~ sP6(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23,sK24])],[f216,f217]) ).
fof(f217,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,sK23(X0,X1),sK24(X0,X1)) != a_select3(X0,sK24(X0,X1),sK23(X0,X1))
& leq(sK24(X0,X1),X1)
& leq(n0,sK24(X0,X1))
& leq(sK23(X0,X1),X1)
& leq(n0,sK23(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
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) )
| ~ sP6(X0,X1) ),
inference(rectify,[],[f215]) ).
fof(f215,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,[],[f179]) ).
fof(f179,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(f911,plain,
spl40_80,
inference(avatar_split_clause,[],[f363,f909]) ).
fof(f363,plain,
! [X0,X1] :
( leq(n0,sK24(X0,X1))
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f218]) ).
fof(f907,plain,
spl40_79,
inference(avatar_split_clause,[],[f362,f905]) ).
fof(f905,plain,
( spl40_79
<=> ! [X0,X1] :
( leq(sK23(X0,X1),X1)
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_79])]) ).
fof(f362,plain,
! [X0,X1] :
( leq(sK23(X0,X1),X1)
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f218]) ).
fof(f902,plain,
spl40_78,
inference(avatar_split_clause,[],[f361,f900]) ).
fof(f361,plain,
! [X0,X1] :
( leq(n0,sK23(X0,X1))
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f218]) ).
fof(f898,plain,
spl40_77,
inference(avatar_split_clause,[],[f358,f896]) ).
fof(f896,plain,
( spl40_77
<=> ! [X0,X1] :
( leq(sK22(X0,X1),X1)
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_77])]) ).
fof(f358,plain,
! [X0,X1] :
( leq(sK22(X0,X1),X1)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f213]) ).
fof(f213,plain,
! [X0,X1] :
( ( a_select3(X0,sK21(X0,X1),sK22(X0,X1)) != a_select3(X0,sK22(X0,X1),sK21(X0,X1))
& leq(sK22(X0,X1),X1)
& leq(n0,sK22(X0,X1))
& leq(sK21(X0,X1),X1)
& leq(n0,sK21(X0,X1)) )
| ~ sP3(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21,sK22])],[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,sK21(X0,X1),sK22(X0,X1)) != a_select3(X0,sK22(X0,X1),sK21(X0,X1))
& leq(sK22(X0,X1),X1)
& leq(n0,sK22(X0,X1))
& leq(sK21(X0,X1),X1)
& leq(n0,sK21(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) )
| ~ sP3(X0,X1) ),
inference(rectify,[],[f210]) ).
fof(f210,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,[],[f175]) ).
fof(f175,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(f893,plain,
spl40_76,
inference(avatar_split_clause,[],[f357,f891]) ).
fof(f357,plain,
! [X0,X1] :
( leq(n0,sK22(X0,X1))
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f213]) ).
fof(f889,plain,
( ~ spl40_75
| ~ spl40_42
| ~ spl40_49
| spl40_64 ),
inference(avatar_split_clause,[],[f840,f836,f750,f665,f886]) ).
fof(f886,plain,
( spl40_75
<=> leq(tptp_float_0_0,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_75])]) ).
fof(f665,plain,
( spl40_42
<=> n5 = plus(n4,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_42])]) ).
fof(f750,plain,
( spl40_49
<=> ! [X0] : minus(plus(X0,n1),n1) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl40_49])]) ).
fof(f836,plain,
( spl40_64
<=> leq(tptp_float_0_0,minus(n5,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_64])]) ).
fof(f840,plain,
( ~ leq(tptp_float_0_0,n4)
| ~ spl40_42
| ~ spl40_49
| spl40_64 ),
inference(forward_demodulation,[],[f838,f766]) ).
fof(f766,plain,
( n4 = minus(n5,n1)
| ~ spl40_42
| ~ spl40_49 ),
inference(superposition,[],[f751,f667]) ).
fof(f667,plain,
( n5 = plus(n4,n1)
| ~ spl40_42 ),
inference(avatar_component_clause,[],[f665]) ).
fof(f751,plain,
( ! [X0] : minus(plus(X0,n1),n1) = X0
| ~ spl40_49 ),
inference(avatar_component_clause,[],[f750]) ).
fof(f838,plain,
( ~ leq(tptp_float_0_0,minus(n5,n1))
| spl40_64 ),
inference(avatar_component_clause,[],[f836]) ).
fof(f884,plain,
spl40_74,
inference(avatar_split_clause,[],[f356,f882]) ).
fof(f882,plain,
( spl40_74
<=> ! [X0,X1] :
( leq(sK21(X0,X1),X1)
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_74])]) ).
fof(f356,plain,
! [X0,X1] :
( leq(sK21(X0,X1),X1)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f213]) ).
fof(f879,plain,
spl40_73,
inference(avatar_split_clause,[],[f355,f877]) ).
fof(f355,plain,
! [X0,X1] :
( leq(n0,sK21(X0,X1))
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f213]) ).
fof(f875,plain,
spl40_72,
inference(avatar_split_clause,[],[f353,f873]) ).
fof(f873,plain,
( spl40_72
<=> ! [X0,X1] :
( leq(sK20(X0,X1),X1)
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_72])]) ).
fof(f353,plain,
! [X0,X1] :
( leq(sK20(X0,X1),X1)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f209]) ).
fof(f209,plain,
! [X0,X1] :
( ( a_select3(X0,sK19(X0,X1),sK20(X0,X1)) != a_select3(X0,sK20(X0,X1),sK19(X0,X1))
& leq(sK20(X0,X1),X1)
& leq(n0,sK20(X0,X1))
& leq(sK19(X0,X1),X1)
& leq(n0,sK19(X0,X1)) )
| ~ sP4(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19,sK20])],[f207,f208]) ).
fof(f208,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,sK19(X0,X1),sK20(X0,X1)) != a_select3(X0,sK20(X0,X1),sK19(X0,X1))
& leq(sK20(X0,X1),X1)
& leq(n0,sK20(X0,X1))
& leq(sK19(X0,X1),X1)
& leq(n0,sK19(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f207,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,[],[f206]) ).
fof(f206,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,[],[f176]) ).
fof(f176,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(f870,plain,
spl40_71,
inference(avatar_split_clause,[],[f352,f868]) ).
fof(f352,plain,
! [X0,X1] :
( leq(n0,sK20(X0,X1))
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f209]) ).
fof(f866,plain,
spl40_70,
inference(avatar_split_clause,[],[f351,f864]) ).
fof(f864,plain,
( spl40_70
<=> ! [X0,X1] :
( leq(sK19(X0,X1),X1)
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_70])]) ).
fof(f351,plain,
! [X0,X1] :
( leq(sK19(X0,X1),X1)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f209]) ).
fof(f861,plain,
spl40_69,
inference(avatar_split_clause,[],[f350,f859]) ).
fof(f350,plain,
! [X0,X1] :
( leq(n0,sK19(X0,X1))
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f209]) ).
fof(f857,plain,
spl40_68,
inference(avatar_split_clause,[],[f347,f855]) ).
fof(f855,plain,
( spl40_68
<=> ! [X2,X0,X1] : a_select2(tptp_update2(X0,X1,X2),X1) = X2 ),
introduced(avatar_definition,[new_symbols(naming,[spl40_68])]) ).
fof(f347,plain,
! [X2,X0,X1] : a_select2(tptp_update2(X0,X1,X2),X1) = X2,
inference(cnf_transformation,[],[f101]) ).
fof(f101,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/sandbox2/benchmark/theBenchmark.p',sel2_update_1) ).
fof(f853,plain,
spl40_67,
inference(avatar_split_clause,[],[f338,f851]) ).
fof(f851,plain,
( spl40_67
<=> ! [X0,X1] :
( leq(sK18(X0,X1),X1)
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_67])]) ).
fof(f338,plain,
! [X0,X1] :
( leq(sK18(X0,X1),X1)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f201]) ).
fof(f201,plain,
! [X0,X1] :
( ( a_select3(X0,sK17(X0,X1),sK18(X0,X1)) != a_select3(X0,sK18(X0,X1),sK17(X0,X1))
& leq(sK18(X0,X1),X1)
& leq(n0,sK18(X0,X1))
& leq(sK17(X0,X1),X1)
& leq(n0,sK17(X0,X1)) )
| ~ sP2(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18])],[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,sK17(X0,X1),sK18(X0,X1)) != a_select3(X0,sK18(X0,X1),sK17(X0,X1))
& leq(sK18(X0,X1),X1)
& leq(n0,sK18(X0,X1))
& leq(sK17(X0,X1),X1)
& leq(n0,sK17(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) )
| ~ sP2(X0,X1) ),
inference(nnf_transformation,[],[f173]) ).
fof(f173,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(f848,plain,
spl40_66,
inference(avatar_split_clause,[],[f337,f846]) ).
fof(f337,plain,
! [X0,X1] :
( leq(n0,sK18(X0,X1))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f201]) ).
fof(f844,plain,
spl40_65,
inference(avatar_split_clause,[],[f336,f842]) ).
fof(f842,plain,
( spl40_65
<=> ! [X0,X1] :
( leq(sK17(X0,X1),X1)
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_65])]) ).
fof(f336,plain,
! [X0,X1] :
( leq(sK17(X0,X1),X1)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f201]) ).
fof(f839,plain,
( ~ spl40_64
| spl40_35
| ~ spl40_44 ),
inference(avatar_split_clause,[],[f693,f681,f629,f836]) ).
fof(f693,plain,
( ~ leq(tptp_float_0_0,minus(n5,n1))
| spl40_35
| ~ spl40_44 ),
inference(superposition,[],[f631,f683]) ).
fof(f833,plain,
spl40_63,
inference(avatar_split_clause,[],[f335,f831]) ).
fof(f335,plain,
! [X0,X1] :
( leq(n0,sK17(X0,X1))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f201]) ).
fof(f829,plain,
spl40_62,
inference(avatar_split_clause,[],[f332,f827]) ).
fof(f827,plain,
( spl40_62
<=> ! [X0,X1] :
( leq(sK16(X0,X1),X1)
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_62])]) ).
fof(f332,plain,
! [X0,X1] :
( leq(sK16(X0,X1),X1)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f197]) ).
fof(f197,plain,
! [X0,X1] :
( ( a_select3(X0,sK15(X0,X1),sK16(X0,X1)) != a_select3(X0,sK16(X0,X1),sK15(X0,X1))
& leq(sK16(X0,X1),X1)
& leq(n0,sK16(X0,X1))
& leq(sK15(X0,X1),X1)
& leq(n0,sK15(X0,X1)) )
| ~ sP1(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15,sK16])],[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,sK15(X0,X1),sK16(X0,X1)) != a_select3(X0,sK16(X0,X1),sK15(X0,X1))
& leq(sK16(X0,X1),X1)
& leq(n0,sK16(X0,X1))
& leq(sK15(X0,X1),X1)
& leq(n0,sK15(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) )
| ~ sP1(X0,X1) ),
inference(nnf_transformation,[],[f171]) ).
fof(f171,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(f824,plain,
spl40_61,
inference(avatar_split_clause,[],[f331,f822]) ).
fof(f331,plain,
! [X0,X1] :
( leq(n0,sK16(X0,X1))
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f197]) ).
fof(f820,plain,
spl40_60,
inference(avatar_split_clause,[],[f330,f818]) ).
fof(f818,plain,
( spl40_60
<=> ! [X0,X1] :
( leq(sK15(X0,X1),X1)
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_60])]) ).
fof(f330,plain,
! [X0,X1] :
( leq(sK15(X0,X1),X1)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f197]) ).
fof(f815,plain,
spl40_59,
inference(avatar_split_clause,[],[f329,f813]) ).
fof(f329,plain,
! [X0,X1] :
( leq(n0,sK15(X0,X1))
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f197]) ).
fof(f811,plain,
spl40_58,
inference(avatar_split_clause,[],[f326,f809]) ).
fof(f809,plain,
( spl40_58
<=> ! [X0,X1] :
( leq(sK14(X0,X1),X1)
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_58])]) ).
fof(f326,plain,
! [X0,X1] :
( leq(sK14(X0,X1),X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f193]) ).
fof(f193,plain,
! [X0,X1] :
( ( a_select3(X0,sK13(X0,X1),sK14(X0,X1)) != a_select3(X0,sK14(X0,X1),sK13(X0,X1))
& leq(sK14(X0,X1),X1)
& leq(n0,sK14(X0,X1))
& leq(sK13(X0,X1),X1)
& leq(n0,sK13(X0,X1)) )
| ~ sP0(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14])],[f191,f192]) ).
fof(f192,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,sK13(X0,X1),sK14(X0,X1)) != a_select3(X0,sK14(X0,X1),sK13(X0,X1))
& leq(sK14(X0,X1),X1)
& leq(n0,sK14(X0,X1))
& leq(sK13(X0,X1),X1)
& leq(n0,sK13(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f191,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,[],[f169]) ).
fof(f169,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(f806,plain,
spl40_57,
inference(avatar_split_clause,[],[f325,f804]) ).
fof(f325,plain,
! [X0,X1] :
( leq(n0,sK14(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f193]) ).
fof(f802,plain,
spl40_56,
inference(avatar_split_clause,[],[f324,f800]) ).
fof(f800,plain,
( spl40_56
<=> ! [X0,X1] :
( leq(sK13(X0,X1),X1)
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_56])]) ).
fof(f324,plain,
! [X0,X1] :
( leq(sK13(X0,X1),X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f193]) ).
fof(f797,plain,
spl40_55,
inference(avatar_split_clause,[],[f323,f795]) ).
fof(f323,plain,
! [X0,X1] :
( leq(n0,sK13(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f193]) ).
fof(f792,plain,
spl40_54,
inference(avatar_split_clause,[],[f321,f790]) ).
fof(f321,plain,
! [X0,X1] :
( leq(n0,X1)
| ~ leq(minus(X0,X1),X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,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/sandbox2/benchmark/theBenchmark.p',leq_minus) ).
fof(f787,plain,
spl40_53,
inference(avatar_split_clause,[],[f318,f785]) ).
fof(f318,plain,
! [X0,X1] :
( leq(uniform_int_rnd(X1,X0),X0)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0,X1] :
( leq(uniform_int_rnd(X1,X0),X0)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,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/sandbox2/benchmark/theBenchmark.p',uniform_int_rand_ranges_hi) ).
fof(f781,plain,
spl40_52,
inference(avatar_split_clause,[],[f317,f779]) ).
fof(f317,plain,
! [X0,X1] :
( leq(n0,uniform_int_rnd(X1,X0))
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0,X1] :
( leq(n0,uniform_int_rnd(X1,X0))
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f96]) ).
fof(f96,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/sandbox2/benchmark/theBenchmark.p',uniform_int_rand_ranges_lo) ).
fof(f760,plain,
spl40_51,
inference(avatar_split_clause,[],[f423,f758]) ).
fof(f758,plain,
( spl40_51
<=> ! [X0] : plus(X0,n1) = plus(n1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_51])]) ).
fof(f423,plain,
! [X0] : plus(X0,n1) = plus(n1,X0),
inference(definition_unfolding,[],[f298,f297]) ).
fof(f298,plain,
! [X0] : succ(X0) = plus(n1,X0),
inference(cnf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] : succ(X0) = plus(n1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_1_l) ).
fof(f756,plain,
spl40_50,
inference(avatar_split_clause,[],[f422,f754]) ).
fof(f754,plain,
( spl40_50
<=> ! [X0] : plus(minus(X0,n1),n1) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl40_50])]) ).
fof(f422,plain,
! [X0] : plus(minus(X0,n1),n1) = X0,
inference(definition_unfolding,[],[f295,f297,f299]) ).
fof(f295,plain,
! [X0] : succ(pred(X0)) = X0,
inference(cnf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0] : succ(pred(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_pred) ).
fof(f752,plain,
spl40_49,
inference(avatar_split_clause,[],[f421,f750]) ).
fof(f421,plain,
! [X0] : minus(plus(X0,n1),n1) = X0,
inference(definition_unfolding,[],[f294,f299,f297]) ).
fof(f294,plain,
! [X0] : pred(succ(X0)) = X0,
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0] : pred(succ(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pred_succ) ).
fof(f712,plain,
( spl40_48
| ~ spl40_1
| ~ spl40_44 ),
inference(avatar_split_clause,[],[f685,f681,f462,f709]) ).
fof(f709,plain,
( spl40_48
<=> leq(tptp_float_0_0,pv10) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_48])]) ).
fof(f462,plain,
( spl40_1
<=> leq(n0,pv10) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_1])]) ).
fof(f685,plain,
( leq(tptp_float_0_0,pv10)
| ~ spl40_1
| ~ spl40_44 ),
inference(superposition,[],[f464,f683]) ).
fof(f464,plain,
( leq(n0,pv10)
| ~ spl40_1 ),
inference(avatar_component_clause,[],[f462]) ).
fof(f707,plain,
( spl40_47
| ~ spl40_44
| ~ spl40_45 ),
inference(avatar_split_clause,[],[f699,f696,f681,f705]) ).
fof(f705,plain,
( spl40_47
<=> ! [X0] : tptp_float_0_0 = sum(tptp_float_0_0,tptp_minus_1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_47])]) ).
fof(f696,plain,
( spl40_45
<=> ! [X0] : tptp_float_0_0 = sum(n0,tptp_minus_1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_45])]) ).
fof(f699,plain,
( ! [X0] : tptp_float_0_0 = sum(tptp_float_0_0,tptp_minus_1,X0)
| ~ spl40_44
| ~ spl40_45 ),
inference(forward_demodulation,[],[f697,f683]) ).
fof(f697,plain,
( ! [X0] : tptp_float_0_0 = sum(n0,tptp_minus_1,X0)
| ~ spl40_45 ),
inference(avatar_component_clause,[],[f696]) ).
fof(f703,plain,
spl40_46,
inference(avatar_split_clause,[],[f319,f701]) ).
fof(f319,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ gt(X1,X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,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/sandbox2/benchmark/theBenchmark.p',leq_gt1) ).
fof(f698,plain,
spl40_45,
inference(avatar_split_clause,[],[f300,f696]) ).
fof(f300,plain,
! [X0] : tptp_float_0_0 = sum(n0,tptp_minus_1,X0),
inference(cnf_transformation,[],[f95]) ).
fof(f95,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/sandbox2/benchmark/theBenchmark.p',sum_plus_base_float) ).
fof(f684,plain,
( spl40_44
| ~ spl40_43 ),
inference(avatar_split_clause,[],[f679,f676,f681]) ).
fof(f676,plain,
( spl40_43
<=> ! [X0] : n0 = sum(n0,tptp_minus_1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_43])]) ).
fof(f679,plain,
( n0 = tptp_float_0_0
| ~ spl40_43 ),
inference(forward_demodulation,[],[f677,f300]) ).
fof(f677,plain,
( ! [X0] : n0 = sum(n0,tptp_minus_1,X0)
| ~ spl40_43 ),
inference(avatar_component_clause,[],[f676]) ).
fof(f678,plain,
spl40_43,
inference(avatar_split_clause,[],[f296,f676]) ).
fof(f296,plain,
! [X0] : n0 = sum(n0,tptp_minus_1,X0),
inference(cnf_transformation,[],[f94]) ).
fof(f94,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/sandbox2/benchmark/theBenchmark.p',sum_plus_base) ).
fof(f668,plain,
spl40_42,
inference(avatar_split_clause,[],[f452,f665]) ).
fof(f452,plain,
n5 = plus(n4,n1),
inference(forward_demodulation,[],[f451,f448]) ).
fof(f448,plain,
n4 = plus(n3,n1),
inference(forward_demodulation,[],[f447,f445]) ).
fof(f445,plain,
n3 = plus(n2,n1),
inference(forward_demodulation,[],[f444,f443]) ).
fof(f443,plain,
n2 = plus(n1,n1),
inference(forward_demodulation,[],[f416,f414]) ).
fof(f414,plain,
n1 = plus(n0,n1),
inference(definition_unfolding,[],[f285,f297]) ).
fof(f285,plain,
n1 = succ(n0),
inference(cnf_transformation,[],[f91]) ).
fof(f91,axiom,
n1 = succ(n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_1) ).
fof(f416,plain,
n2 = plus(plus(n0,n1),n1),
inference(definition_unfolding,[],[f287,f297,f297]) ).
fof(f287,plain,
n2 = succ(succ(n0)),
inference(cnf_transformation,[],[f92]) ).
fof(f92,axiom,
n2 = succ(succ(n0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_2) ).
fof(f444,plain,
n3 = plus(plus(n1,n1),n1),
inference(forward_demodulation,[],[f417,f414]) ).
fof(f417,plain,
n3 = plus(plus(plus(n0,n1),n1),n1),
inference(definition_unfolding,[],[f288,f297,f297,f297]) ).
fof(f288,plain,
n3 = succ(succ(succ(n0))),
inference(cnf_transformation,[],[f93]) ).
fof(f93,axiom,
n3 = succ(succ(succ(n0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_3) ).
fof(f447,plain,
n4 = plus(plus(n2,n1),n1),
inference(forward_demodulation,[],[f446,f443]) ).
fof(f446,plain,
n4 = plus(plus(plus(n1,n1),n1),n1),
inference(forward_demodulation,[],[f418,f414]) ).
fof(f418,plain,
n4 = plus(plus(plus(plus(n0,n1),n1),n1),n1),
inference(definition_unfolding,[],[f289,f297,f297,f297,f297]) ).
fof(f289,plain,
n4 = succ(succ(succ(succ(n0)))),
inference(cnf_transformation,[],[f89]) ).
fof(f89,axiom,
n4 = succ(succ(succ(succ(n0)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_4) ).
fof(f451,plain,
n5 = plus(plus(n3,n1),n1),
inference(forward_demodulation,[],[f450,f445]) ).
fof(f450,plain,
n5 = plus(plus(plus(n2,n1),n1),n1),
inference(forward_demodulation,[],[f449,f443]) ).
fof(f449,plain,
n5 = plus(plus(plus(plus(n1,n1),n1),n1),n1),
inference(forward_demodulation,[],[f419,f414]) ).
fof(f419,plain,
n5 = plus(plus(plus(plus(plus(n0,n1),n1),n1),n1),n1),
inference(definition_unfolding,[],[f290,f297,f297,f297,f297,f297]) ).
fof(f290,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/sandbox2/benchmark/theBenchmark.p',successor_5) ).
fof(f663,plain,
spl40_41,
inference(avatar_split_clause,[],[f448,f660]) ).
fof(f660,plain,
( spl40_41
<=> n4 = plus(n3,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_41])]) ).
fof(f658,plain,
spl40_40,
inference(avatar_split_clause,[],[f445,f655]) ).
fof(f655,plain,
( spl40_40
<=> n3 = plus(n2,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_40])]) ).
fof(f653,plain,
spl40_39,
inference(avatar_split_clause,[],[f443,f650]) ).
fof(f650,plain,
( spl40_39
<=> n2 = plus(n1,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_39])]) ).
fof(f648,plain,
spl40_38,
inference(avatar_split_clause,[],[f420,f646]) ).
fof(f646,plain,
( spl40_38
<=> ! [X0] : gt(plus(X0,n1),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_38])]) ).
fof(f420,plain,
! [X0] : gt(plus(X0,n1),X0),
inference(definition_unfolding,[],[f293,f297]) ).
fof(f293,plain,
! [X0] : gt(succ(X0),X0),
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] : gt(succ(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_succ) ).
fof(f644,plain,
spl40_37,
inference(avatar_split_clause,[],[f415,f641]) ).
fof(f641,plain,
( spl40_37
<=> n0 = plus(tptp_minus_1,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_37])]) ).
fof(f415,plain,
n0 = plus(tptp_minus_1,n1),
inference(definition_unfolding,[],[f286,f297]) ).
fof(f286,plain,
n0 = succ(tptp_minus_1),
inference(cnf_transformation,[],[f28]) ).
fof(f28,axiom,
n0 = succ(tptp_minus_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_tptp_minus_1) ).
fof(f639,plain,
spl40_36,
inference(avatar_split_clause,[],[f414,f636]) ).
fof(f636,plain,
( spl40_36
<=> n1 = plus(n0,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_36])]) ).
fof(f634,plain,
( ~ spl40_33
| spl40_34 ),
inference(avatar_contradiction_clause,[],[f633]) ).
fof(f633,plain,
( $false
| ~ spl40_33
| spl40_34 ),
inference(resolution,[],[f627,f622]) ).
fof(f622,plain,
( ! [X0] : leq(X0,X0)
| ~ spl40_33 ),
inference(avatar_component_clause,[],[f621]) ).
fof(f621,plain,
( spl40_33
<=> ! [X0] : leq(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_33])]) ).
fof(f627,plain,
( ~ leq(n0,n0)
| spl40_34 ),
inference(avatar_component_clause,[],[f625]) ).
fof(f625,plain,
( spl40_34
<=> leq(n0,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_34])]) ).
fof(f632,plain,
( ~ spl40_34
| ~ spl40_1
| ~ spl40_35
| ~ spl40_2 ),
inference(avatar_split_clause,[],[f255,f467,f629,f462,f625]) ).
fof(f467,plain,
( spl40_2
<=> leq(pv10,minus(n135300,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_2])]) ).
fof(f255,plain,
( ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,minus(n5,n1))
| ~ leq(n0,pv10)
| ~ leq(n0,n0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
( ( ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,minus(n5,n1))
| ~ leq(n0,pv10)
| ~ leq(n0,n0) )
& leq(pv10,minus(n135300,n1))
& leq(n0,pv10) ),
inference(flattening,[],[f115]) ).
fof(f115,plain,
( ( ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,minus(n5,n1))
| ~ leq(n0,pv10)
| ~ leq(n0,n0) )
& leq(pv10,minus(n135300,n1))
& leq(n0,pv10) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( leq(pv10,minus(n135300,n1))
& leq(n0,pv10) )
=> ( leq(pv10,minus(n135300,n1))
& leq(n0,minus(n5,n1))
& leq(n0,pv10)
& leq(n0,n0) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( leq(pv10,minus(n135300,n1))
& leq(n0,pv10) )
=> ( leq(pv10,minus(n135300,n1))
& leq(n0,minus(n5,n1))
& leq(n0,pv10)
& leq(n0,n0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_array_0010) ).
fof(f623,plain,
spl40_33,
inference(avatar_split_clause,[],[f292,f621]) ).
fof(f292,plain,
! [X0] : leq(X0,X0),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] : leq(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_leq) ).
fof(f619,plain,
spl40_32,
inference(avatar_split_clause,[],[f291,f617]) ).
fof(f617,plain,
( spl40_32
<=> ! [X0] : ~ gt(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_32])]) ).
fof(f291,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',irreflexivity_gt) ).
fof(f615,plain,
spl40_31,
inference(avatar_split_clause,[],[f284,f612]) ).
fof(f284,plain,
gt(n0,tptp_minus_1),
inference(cnf_transformation,[],[f61]) ).
fof(f61,axiom,
gt(n0,tptp_minus_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_0_tptp_minus_1) ).
fof(f610,plain,
spl40_30,
inference(avatar_split_clause,[],[f283,f607]) ).
fof(f283,plain,
gt(n1,n0),
inference(cnf_transformation,[],[f68]) ).
fof(f68,axiom,
gt(n1,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_1_0) ).
fof(f605,plain,
spl40_29,
inference(avatar_split_clause,[],[f282,f602]) ).
fof(f282,plain,
gt(n1,tptp_minus_1),
inference(cnf_transformation,[],[f62]) ).
fof(f62,axiom,
gt(n1,tptp_minus_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_1_tptp_minus_1) ).
fof(f600,plain,
spl40_28,
inference(avatar_split_clause,[],[f281,f597]) ).
fof(f281,plain,
gt(n2,n0),
inference(cnf_transformation,[],[f69]) ).
fof(f69,axiom,
gt(n2,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_2_0) ).
fof(f595,plain,
spl40_27,
inference(avatar_split_clause,[],[f280,f592]) ).
fof(f592,plain,
( spl40_27
<=> gt(n2,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_27])]) ).
fof(f280,plain,
gt(n2,n1),
inference(cnf_transformation,[],[f74]) ).
fof(f74,axiom,
gt(n2,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_2_1) ).
fof(f590,plain,
spl40_26,
inference(avatar_split_clause,[],[f279,f587]) ).
fof(f587,plain,
( spl40_26
<=> gt(n2,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_26])]) ).
fof(f279,plain,
gt(n2,tptp_minus_1),
inference(cnf_transformation,[],[f63]) ).
fof(f63,axiom,
gt(n2,tptp_minus_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_2_tptp_minus_1) ).
fof(f585,plain,
spl40_25,
inference(avatar_split_clause,[],[f278,f582]) ).
fof(f278,plain,
gt(n3,n0),
inference(cnf_transformation,[],[f70]) ).
fof(f70,axiom,
gt(n3,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_3_0) ).
fof(f580,plain,
spl40_24,
inference(avatar_split_clause,[],[f277,f577]) ).
fof(f577,plain,
( spl40_24
<=> gt(n3,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_24])]) ).
fof(f277,plain,
gt(n3,n1),
inference(cnf_transformation,[],[f75]) ).
fof(f75,axiom,
gt(n3,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_3_1) ).
fof(f575,plain,
spl40_23,
inference(avatar_split_clause,[],[f276,f572]) ).
fof(f572,plain,
( spl40_23
<=> gt(n3,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_23])]) ).
fof(f276,plain,
gt(n3,n2),
inference(cnf_transformation,[],[f79]) ).
fof(f79,axiom,
gt(n3,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_3_2) ).
fof(f570,plain,
spl40_22,
inference(avatar_split_clause,[],[f275,f567]) ).
fof(f567,plain,
( spl40_22
<=> gt(n3,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_22])]) ).
fof(f275,plain,
gt(n3,tptp_minus_1),
inference(cnf_transformation,[],[f64]) ).
fof(f64,axiom,
gt(n3,tptp_minus_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_3_tptp_minus_1) ).
fof(f565,plain,
spl40_21,
inference(avatar_split_clause,[],[f274,f562]) ).
fof(f274,plain,
gt(n5,n0),
inference(cnf_transformation,[],[f66]) ).
fof(f66,axiom,
gt(n5,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_0) ).
fof(f560,plain,
spl40_20,
inference(avatar_split_clause,[],[f273,f557]) ).
fof(f273,plain,
gt(n4,n0),
inference(cnf_transformation,[],[f65]) ).
fof(f65,axiom,
gt(n4,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_0) ).
fof(f555,plain,
spl40_19,
inference(avatar_split_clause,[],[f272,f552]) ).
fof(f552,plain,
( spl40_19
<=> gt(n5,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_19])]) ).
fof(f272,plain,
gt(n5,n1),
inference(cnf_transformation,[],[f72]) ).
fof(f72,axiom,
gt(n5,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_1) ).
fof(f550,plain,
spl40_18,
inference(avatar_split_clause,[],[f271,f547]) ).
fof(f547,plain,
( spl40_18
<=> gt(n4,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_18])]) ).
fof(f271,plain,
gt(n4,n1),
inference(cnf_transformation,[],[f71]) ).
fof(f71,axiom,
gt(n4,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_1) ).
fof(f545,plain,
spl40_17,
inference(avatar_split_clause,[],[f270,f542]) ).
fof(f542,plain,
( spl40_17
<=> gt(n4,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_17])]) ).
fof(f270,plain,
gt(n4,n2),
inference(cnf_transformation,[],[f76]) ).
fof(f76,axiom,
gt(n4,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_2) ).
fof(f540,plain,
spl40_16,
inference(avatar_split_clause,[],[f269,f537]) ).
fof(f537,plain,
( spl40_16
<=> gt(n5,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_16])]) ).
fof(f269,plain,
gt(n5,n2),
inference(cnf_transformation,[],[f77]) ).
fof(f77,axiom,
gt(n5,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_2) ).
fof(f535,plain,
spl40_15,
inference(avatar_split_clause,[],[f268,f532]) ).
fof(f532,plain,
( spl40_15
<=> gt(n4,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_15])]) ).
fof(f268,plain,
gt(n4,n3),
inference(cnf_transformation,[],[f80]) ).
fof(f80,axiom,
gt(n4,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_3) ).
fof(f530,plain,
spl40_14,
inference(avatar_split_clause,[],[f267,f527]) ).
fof(f527,plain,
( spl40_14
<=> gt(n5,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_14])]) ).
fof(f267,plain,
gt(n5,n3),
inference(cnf_transformation,[],[f81]) ).
fof(f81,axiom,
gt(n5,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_3) ).
fof(f525,plain,
spl40_13,
inference(avatar_split_clause,[],[f266,f522]) ).
fof(f522,plain,
( spl40_13
<=> gt(n5,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_13])]) ).
fof(f266,plain,
gt(n5,n4),
inference(cnf_transformation,[],[f55]) ).
fof(f55,axiom,
gt(n5,n4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_4) ).
fof(f520,plain,
spl40_12,
inference(avatar_split_clause,[],[f265,f517]) ).
fof(f517,plain,
( spl40_12
<=> gt(n4,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_12])]) ).
fof(f265,plain,
gt(n4,tptp_minus_1),
inference(cnf_transformation,[],[f58]) ).
fof(f58,axiom,
gt(n4,tptp_minus_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_tptp_minus_1) ).
fof(f515,plain,
spl40_11,
inference(avatar_split_clause,[],[f264,f512]) ).
fof(f512,plain,
( spl40_11
<=> gt(n5,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_11])]) ).
fof(f264,plain,
gt(n5,tptp_minus_1),
inference(cnf_transformation,[],[f59]) ).
fof(f59,axiom,
gt(n5,tptp_minus_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_tptp_minus_1) ).
fof(f510,plain,
spl40_10,
inference(avatar_split_clause,[],[f263,f507]) ).
fof(f263,plain,
gt(n135300,n0),
inference(cnf_transformation,[],[f67]) ).
fof(f67,axiom,
gt(n135300,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_135300_0) ).
fof(f505,plain,
spl40_9,
inference(avatar_split_clause,[],[f262,f502]) ).
fof(f502,plain,
( spl40_9
<=> gt(n135300,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_9])]) ).
fof(f262,plain,
gt(n135300,n1),
inference(cnf_transformation,[],[f73]) ).
fof(f73,axiom,
gt(n135300,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_135300_1) ).
fof(f500,plain,
spl40_8,
inference(avatar_split_clause,[],[f261,f497]) ).
fof(f497,plain,
( spl40_8
<=> gt(n135300,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_8])]) ).
fof(f261,plain,
gt(n135300,n2),
inference(cnf_transformation,[],[f78]) ).
fof(f78,axiom,
gt(n135300,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_135300_2) ).
fof(f495,plain,
spl40_7,
inference(avatar_split_clause,[],[f260,f492]) ).
fof(f492,plain,
( spl40_7
<=> gt(n135300,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_7])]) ).
fof(f260,plain,
gt(n135300,n3),
inference(cnf_transformation,[],[f82]) ).
fof(f82,axiom,
gt(n135300,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_135300_3) ).
fof(f490,plain,
spl40_6,
inference(avatar_split_clause,[],[f259,f487]) ).
fof(f487,plain,
( spl40_6
<=> gt(n135300,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_6])]) ).
fof(f259,plain,
gt(n135300,n4),
inference(cnf_transformation,[],[f56]) ).
fof(f56,axiom,
gt(n135300,n4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_135300_4) ).
fof(f485,plain,
spl40_5,
inference(avatar_split_clause,[],[f258,f482]) ).
fof(f482,plain,
( spl40_5
<=> gt(n135300,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_5])]) ).
fof(f258,plain,
gt(n135300,n5),
inference(cnf_transformation,[],[f57]) ).
fof(f57,axiom,
gt(n135300,n5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_135300_5) ).
fof(f480,plain,
spl40_4,
inference(avatar_split_clause,[],[f257,f477]) ).
fof(f477,plain,
( spl40_4
<=> gt(n135300,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_4])]) ).
fof(f257,plain,
gt(n135300,tptp_minus_1),
inference(cnf_transformation,[],[f60]) ).
fof(f60,axiom,
gt(n135300,tptp_minus_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_135300_tptp_minus_1) ).
fof(f475,plain,
~ spl40_3,
inference(avatar_split_clause,[],[f256,f472]) ).
fof(f472,plain,
( spl40_3
<=> def = use ),
introduced(avatar_definition,[new_symbols(naming,[spl40_3])]) ).
fof(f256,plain,
def != use,
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
def != use,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',defuse) ).
fof(f470,plain,
spl40_2,
inference(avatar_split_clause,[],[f254,f467]) ).
fof(f254,plain,
leq(pv10,minus(n135300,n1)),
inference(cnf_transformation,[],[f116]) ).
fof(f465,plain,
spl40_1,
inference(avatar_split_clause,[],[f253,f462]) ).
fof(f253,plain,
leq(n0,pv10),
inference(cnf_transformation,[],[f116]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV069+1 : TPTP v8.2.0. Bugfixed v3.3.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n014.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun May 19 08:35:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (28666)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (28670)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.37 % (28669)WARNING: value z3 for option sas not known
% 0.20/0.37 % (28668)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.37 % (28669)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)
% 0.20/0.37 % (28667)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.37 % (28671)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)
% 0.20/0.37 % (28672)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)
% 0.20/0.37 % (28673)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)
% 0.20/0.39 % (28671)First to succeed.
% 0.20/0.39 % (28672)Also succeeded, but the first one will report.
% 0.20/0.40 % (28671)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-28666"
% 0.20/0.40 % (28671)Refutation found. Thanks to Tanya!
% 0.20/0.40 % SZS status Theorem for theBenchmark
% 0.20/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.40 % (28671)------------------------------
% 0.20/0.40 % (28671)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.40 % (28671)Termination reason: Refutation
% 0.20/0.40
% 0.20/0.40 % (28671)Memory used [KB]: 1346
% 0.20/0.40 % (28671)Time elapsed: 0.027 s
% 0.20/0.40 % (28671)Instructions burned: 43 (million)
% 0.20/0.40 % (28666)Success in time 0.047 s
%------------------------------------------------------------------------------