TSTP Solution File: SWV187+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV187+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 10:47:09 EDT 2024
% Result : Theorem 0.14s 0.41s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 242
% Syntax : Number of formulae : 688 ( 233 unt; 0 def)
% Number of atoms : 1873 ( 234 equ)
% Maximal formula atoms : 24 ( 2 avg)
% Number of connectives : 1875 ( 690 ~; 614 |; 354 &)
% ( 159 <=>; 58 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 173 ( 171 usr; 158 prp; 0-2 aty)
% Number of functors : 52 ( 52 usr; 19 con; 0-3 aty)
% Number of variables : 817 ( 723 !; 94 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1375,plain,
$false,
inference(avatar_sat_refutation,[],[f475,f480,f485,f490,f494,f500,f505,f510,f515,f520,f525,f530,f535,f540,f545,f550,f555,f560,f565,f570,f575,f580,f585,f590,f595,f600,f605,f610,f615,f620,f625,f630,f635,f640,f645,f649,f653,f658,f664,f671,f675,f681,f688,f693,f697,f702,f707,f712,f717,f727,f733,f742,f763,f768,f772,f813,f817,f821,f834,f847,f853,f858,f863,f868,f872,f877,f881,f887,f891,f895,f900,f904,f909,f913,f918,f922,f926,f931,f936,f940,f945,f949,f954,f958,f963,f967,f972,f976,f981,f985,f990,f994,f999,f1003,f1008,f1012,f1017,f1021,f1026,f1030,f1035,f1039,f1044,f1048,f1053,f1057,f1062,f1066,f1071,f1075,f1080,f1084,f1089,f1093,f1097,f1101,f1105,f1109,f1113,f1118,f1122,f1126,f1130,f1134,f1138,f1142,f1146,f1150,f1154,f1158,f1162,f1167,f1171,f1175,f1179,f1183,f1187,f1191,f1195,f1199,f1203,f1207,f1212,f1216,f1220,f1224,f1228,f1232,f1236,f1341,f1350,f1354,f1361,f1365,f1369,f1373,f1374]) ).
fof(f1374,plain,
( ~ spl41_3
| spl41_4
| ~ spl41_2
| ~ spl41_41 ),
inference(avatar_split_clause,[],[f676,f673,f477,f487,f482]) ).
fof(f482,plain,
( spl41_3
<=> leq(sK13,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_3])]) ).
fof(f487,plain,
( spl41_4
<=> init = a_select2(sigmaold_init,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_4])]) ).
fof(f477,plain,
( spl41_2
<=> leq(n0,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_2])]) ).
fof(f673,plain,
( spl41_41
<=> ! [X1] :
( init = a_select2(sigmaold_init,X1)
| ~ leq(n0,X1)
| ~ leq(X1,n4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_41])]) ).
fof(f676,plain,
( init = a_select2(sigmaold_init,sK13)
| ~ leq(sK13,n4)
| ~ spl41_2
| ~ spl41_41 ),
inference(resolution,[],[f674,f479]) ).
fof(f479,plain,
( leq(n0,sK13)
| ~ spl41_2 ),
inference(avatar_component_clause,[],[f477]) ).
fof(f674,plain,
( ! [X1] :
( ~ leq(n0,X1)
| init = a_select2(sigmaold_init,X1)
| ~ leq(X1,n4) )
| ~ spl41_41 ),
inference(avatar_component_clause,[],[f673]) ).
fof(f1373,plain,
spl41_157,
inference(avatar_split_clause,[],[f359,f1371]) ).
fof(f1371,plain,
( spl41_157
<=> ! [X2,X0,X1] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_157])]) ).
fof(f359,plain,
! [X2,X0,X1] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(flattening,[],[f146]) ).
fof(f146,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1,X2] :
( ( leq(X1,X2)
& leq(X0,X1) )
=> leq(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_leq) ).
fof(f1369,plain,
spl41_156,
inference(avatar_split_clause,[],[f358,f1367]) ).
fof(f1367,plain,
( spl41_156
<=> ! [X2,X0,X1] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_156])]) ).
fof(f358,plain,
! [X2,X0,X1] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1) ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0,X1,X2] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1) ),
inference(flattening,[],[f144]) ).
fof(f144,plain,
! [X0,X1,X2] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1,X2] :
( ( gt(X1,X2)
& gt(X0,X1) )
=> gt(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_gt) ).
fof(f1365,plain,
spl41_155,
inference(avatar_split_clause,[],[f332,f1363]) ).
fof(f1363,plain,
( spl41_155
<=> ! [X0,X1] :
( gt(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_155])]) ).
fof(f332,plain,
! [X0,X1] :
( gt(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0,X1] :
( gt(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ),
inference(flattening,[],[f136]) ).
fof(f136,plain,
! [X0,X1] :
( gt(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( ( X0 != X1
& leq(X0,X1) )
=> gt(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_gt2) ).
fof(f1361,plain,
spl41_154,
inference(avatar_split_clause,[],[f325,f1359]) ).
fof(f1359,plain,
( spl41_154
<=> ! [X0,X1] :
( X0 = X1
| gt(X1,X0)
| gt(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_154])]) ).
fof(f325,plain,
! [X0,X1] :
( X0 = X1
| gt(X1,X0)
| gt(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( X0 = X1
| gt(X1,X0)
| gt(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',totality) ).
fof(f1354,plain,
spl41_153,
inference(avatar_split_clause,[],[f324,f1352]) ).
fof(f1352,plain,
( spl41_153
<=> ! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_153])]) ).
fof(f324,plain,
! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ),
inference(flattening,[],[f128]) ).
fof(f128,plain,
! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f85]) ).
fof(f85,axiom,
! [X0] :
( ( leq(X0,n0)
& leq(n0,X0) )
=> n0 = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',finite_domain_0) ).
fof(f1350,plain,
( ~ spl41_152
| ~ spl41_51
| spl41_151 ),
inference(avatar_split_clause,[],[f1342,f1338,f730,f1347]) ).
fof(f1347,plain,
( spl41_152
<=> init = a_select2(rhoold_init,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_152])]) ).
fof(f730,plain,
( spl41_51
<=> n0 = tptp_float_0_0 ),
introduced(avatar_definition,[new_symbols(naming,[spl41_51])]) ).
fof(f1338,plain,
( spl41_151
<=> init = a_select2(rhoold_init,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_151])]) ).
fof(f1342,plain,
( init != a_select2(rhoold_init,tptp_float_0_0)
| ~ spl41_51
| spl41_151 ),
inference(forward_demodulation,[],[f1339,f732]) ).
fof(f732,plain,
( n0 = tptp_float_0_0
| ~ spl41_51 ),
inference(avatar_component_clause,[],[f730]) ).
fof(f1339,plain,
( init != a_select2(rhoold_init,n0)
| spl41_151 ),
inference(avatar_component_clause,[],[f1338]) ).
fof(f1341,plain,
( ~ spl41_52
| spl41_151
| ~ spl41_37
| ~ spl41_39 ),
inference(avatar_split_clause,[],[f666,f662,f651,f1338,f735]) ).
fof(f735,plain,
( spl41_52
<=> leq(n0,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_52])]) ).
fof(f651,plain,
( spl41_37
<=> ! [X0] : leq(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_37])]) ).
fof(f662,plain,
( spl41_39
<=> ! [X2] :
( init = a_select2(rhoold_init,X2)
| ~ leq(n0,X2)
| ~ leq(X2,n4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_39])]) ).
fof(f666,plain,
( init = a_select2(rhoold_init,n0)
| ~ leq(n0,n4)
| ~ spl41_37
| ~ spl41_39 ),
inference(resolution,[],[f663,f652]) ).
fof(f652,plain,
( ! [X0] : leq(X0,X0)
| ~ spl41_37 ),
inference(avatar_component_clause,[],[f651]) ).
fof(f663,plain,
( ! [X2] :
( ~ leq(n0,X2)
| init = a_select2(rhoold_init,X2)
| ~ leq(X2,n4) )
| ~ spl41_39 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f1236,plain,
( spl41_150
| ~ spl41_51
| ~ spl41_113 ),
inference(avatar_split_clause,[],[f1085,f1082,f730,f1234]) ).
fof(f1234,plain,
( spl41_150
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK40(X0,X1))
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_150])]) ).
fof(f1082,plain,
( spl41_113
<=> ! [X0,X1] :
( leq(n0,sK40(X0,X1))
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_113])]) ).
fof(f1085,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK40(X0,X1))
| ~ sP10(X0,X1) )
| ~ spl41_51
| ~ spl41_113 ),
inference(forward_demodulation,[],[f1083,f732]) ).
fof(f1083,plain,
( ! [X0,X1] :
( leq(n0,sK40(X0,X1))
| ~ sP10(X0,X1) )
| ~ spl41_113 ),
inference(avatar_component_clause,[],[f1082]) ).
fof(f1232,plain,
( spl41_149
| ~ spl41_51
| ~ spl41_111 ),
inference(avatar_split_clause,[],[f1076,f1073,f730,f1230]) ).
fof(f1230,plain,
( spl41_149
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK39(X0,X1))
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_149])]) ).
fof(f1073,plain,
( spl41_111
<=> ! [X0,X1] :
( leq(n0,sK39(X0,X1))
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_111])]) ).
fof(f1076,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK39(X0,X1))
| ~ sP10(X0,X1) )
| ~ spl41_51
| ~ spl41_111 ),
inference(forward_demodulation,[],[f1074,f732]) ).
fof(f1074,plain,
( ! [X0,X1] :
( leq(n0,sK39(X0,X1))
| ~ sP10(X0,X1) )
| ~ spl41_111 ),
inference(avatar_component_clause,[],[f1073]) ).
fof(f1228,plain,
( spl41_148
| ~ spl41_51
| ~ spl41_109 ),
inference(avatar_split_clause,[],[f1067,f1064,f730,f1226]) ).
fof(f1226,plain,
( spl41_148
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK38(X0,X1))
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_148])]) ).
fof(f1064,plain,
( spl41_109
<=> ! [X0,X1] :
( leq(n0,sK38(X0,X1))
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_109])]) ).
fof(f1067,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK38(X0,X1))
| ~ sP11(X0,X1) )
| ~ spl41_51
| ~ spl41_109 ),
inference(forward_demodulation,[],[f1065,f732]) ).
fof(f1065,plain,
( ! [X0,X1] :
( leq(n0,sK38(X0,X1))
| ~ sP11(X0,X1) )
| ~ spl41_109 ),
inference(avatar_component_clause,[],[f1064]) ).
fof(f1224,plain,
( spl41_147
| ~ spl41_51
| ~ spl41_107 ),
inference(avatar_split_clause,[],[f1058,f1055,f730,f1222]) ).
fof(f1222,plain,
( spl41_147
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK37(X0,X1))
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_147])]) ).
fof(f1055,plain,
( spl41_107
<=> ! [X0,X1] :
( leq(n0,sK37(X0,X1))
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_107])]) ).
fof(f1058,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK37(X0,X1))
| ~ sP11(X0,X1) )
| ~ spl41_51
| ~ spl41_107 ),
inference(forward_demodulation,[],[f1056,f732]) ).
fof(f1056,plain,
( ! [X0,X1] :
( leq(n0,sK37(X0,X1))
| ~ sP11(X0,X1) )
| ~ spl41_107 ),
inference(avatar_component_clause,[],[f1055]) ).
fof(f1220,plain,
( spl41_146
| ~ spl41_51
| ~ spl41_105 ),
inference(avatar_split_clause,[],[f1049,f1046,f730,f1218]) ).
fof(f1218,plain,
( spl41_146
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK36(X0,X1))
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_146])]) ).
fof(f1046,plain,
( spl41_105
<=> ! [X0,X1] :
( leq(n0,sK36(X0,X1))
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_105])]) ).
fof(f1049,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK36(X0,X1))
| ~ sP12(X0,X1) )
| ~ spl41_51
| ~ spl41_105 ),
inference(forward_demodulation,[],[f1047,f732]) ).
fof(f1047,plain,
( ! [X0,X1] :
( leq(n0,sK36(X0,X1))
| ~ sP12(X0,X1) )
| ~ spl41_105 ),
inference(avatar_component_clause,[],[f1046]) ).
fof(f1216,plain,
( spl41_145
| ~ spl41_51
| ~ spl41_103 ),
inference(avatar_split_clause,[],[f1040,f1037,f730,f1214]) ).
fof(f1214,plain,
( spl41_145
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK35(X0,X1))
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_145])]) ).
fof(f1037,plain,
( spl41_103
<=> ! [X0,X1] :
( leq(n0,sK35(X0,X1))
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_103])]) ).
fof(f1040,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK35(X0,X1))
| ~ sP12(X0,X1) )
| ~ spl41_51
| ~ spl41_103 ),
inference(forward_demodulation,[],[f1038,f732]) ).
fof(f1038,plain,
( ! [X0,X1] :
( leq(n0,sK35(X0,X1))
| ~ sP12(X0,X1) )
| ~ spl41_103 ),
inference(avatar_component_clause,[],[f1037]) ).
fof(f1212,plain,
( ~ spl41_3
| spl41_144
| ~ spl41_2
| ~ spl41_39 ),
inference(avatar_split_clause,[],[f665,f662,f477,f1209,f482]) ).
fof(f1209,plain,
( spl41_144
<=> init = a_select2(rhoold_init,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_144])]) ).
fof(f665,plain,
( init = a_select2(rhoold_init,sK13)
| ~ leq(sK13,n4)
| ~ spl41_2
| ~ spl41_39 ),
inference(resolution,[],[f663,f479]) ).
fof(f1207,plain,
( spl41_143
| ~ spl41_51
| ~ spl41_101 ),
inference(avatar_split_clause,[],[f1031,f1028,f730,f1205]) ).
fof(f1205,plain,
( spl41_143
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK32(X0,X1))
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_143])]) ).
fof(f1028,plain,
( spl41_101
<=> ! [X0,X1] :
( leq(n0,sK32(X0,X1))
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_101])]) ).
fof(f1031,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK32(X0,X1))
| ~ sP8(X0,X1) )
| ~ spl41_51
| ~ spl41_101 ),
inference(forward_demodulation,[],[f1029,f732]) ).
fof(f1029,plain,
( ! [X0,X1] :
( leq(n0,sK32(X0,X1))
| ~ sP8(X0,X1) )
| ~ spl41_101 ),
inference(avatar_component_clause,[],[f1028]) ).
fof(f1203,plain,
( spl41_142
| ~ spl41_51
| ~ spl41_99 ),
inference(avatar_split_clause,[],[f1022,f1019,f730,f1201]) ).
fof(f1201,plain,
( spl41_142
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK31(X0,X1))
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_142])]) ).
fof(f1019,plain,
( spl41_99
<=> ! [X0,X1] :
( leq(n0,sK31(X0,X1))
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_99])]) ).
fof(f1022,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK31(X0,X1))
| ~ sP8(X0,X1) )
| ~ spl41_51
| ~ spl41_99 ),
inference(forward_demodulation,[],[f1020,f732]) ).
fof(f1020,plain,
( ! [X0,X1] :
( leq(n0,sK31(X0,X1))
| ~ sP8(X0,X1) )
| ~ spl41_99 ),
inference(avatar_component_clause,[],[f1019]) ).
fof(f1199,plain,
( spl41_141
| ~ spl41_51
| ~ spl41_97 ),
inference(avatar_split_clause,[],[f1013,f1010,f730,f1197]) ).
fof(f1197,plain,
( spl41_141
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK29(X0,X1))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_141])]) ).
fof(f1010,plain,
( spl41_97
<=> ! [X0,X1] :
( leq(n0,sK29(X0,X1))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_97])]) ).
fof(f1013,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK29(X0,X1))
| ~ sP7(X0,X1) )
| ~ spl41_51
| ~ spl41_97 ),
inference(forward_demodulation,[],[f1011,f732]) ).
fof(f1011,plain,
( ! [X0,X1] :
( leq(n0,sK29(X0,X1))
| ~ sP7(X0,X1) )
| ~ spl41_97 ),
inference(avatar_component_clause,[],[f1010]) ).
fof(f1195,plain,
( spl41_140
| ~ spl41_51
| ~ spl41_95 ),
inference(avatar_split_clause,[],[f1004,f1001,f730,f1193]) ).
fof(f1193,plain,
( spl41_140
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK28(X0,X1))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_140])]) ).
fof(f1001,plain,
( spl41_95
<=> ! [X0,X1] :
( leq(n0,sK28(X0,X1))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_95])]) ).
fof(f1004,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK28(X0,X1))
| ~ sP7(X0,X1) )
| ~ spl41_51
| ~ spl41_95 ),
inference(forward_demodulation,[],[f1002,f732]) ).
fof(f1002,plain,
( ! [X0,X1] :
( leq(n0,sK28(X0,X1))
| ~ sP7(X0,X1) )
| ~ spl41_95 ),
inference(avatar_component_clause,[],[f1001]) ).
fof(f1191,plain,
( spl41_139
| ~ spl41_51
| ~ spl41_93 ),
inference(avatar_split_clause,[],[f995,f992,f730,f1189]) ).
fof(f1189,plain,
( spl41_139
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK27(X0,X1))
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_139])]) ).
fof(f992,plain,
( spl41_93
<=> ! [X0,X1] :
( leq(n0,sK27(X0,X1))
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_93])]) ).
fof(f995,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK27(X0,X1))
| ~ sP5(X0,X1) )
| ~ spl41_51
| ~ spl41_93 ),
inference(forward_demodulation,[],[f993,f732]) ).
fof(f993,plain,
( ! [X0,X1] :
( leq(n0,sK27(X0,X1))
| ~ sP5(X0,X1) )
| ~ spl41_93 ),
inference(avatar_component_clause,[],[f992]) ).
fof(f1187,plain,
( spl41_138
| ~ spl41_51
| ~ spl41_91 ),
inference(avatar_split_clause,[],[f986,f983,f730,f1185]) ).
fof(f1185,plain,
( spl41_138
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK26(X0,X1))
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_138])]) ).
fof(f983,plain,
( spl41_91
<=> ! [X0,X1] :
( leq(n0,sK26(X0,X1))
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_91])]) ).
fof(f986,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK26(X0,X1))
| ~ sP5(X0,X1) )
| ~ spl41_51
| ~ spl41_91 ),
inference(forward_demodulation,[],[f984,f732]) ).
fof(f984,plain,
( ! [X0,X1] :
( leq(n0,sK26(X0,X1))
| ~ sP5(X0,X1) )
| ~ spl41_91 ),
inference(avatar_component_clause,[],[f983]) ).
fof(f1183,plain,
( spl41_137
| ~ spl41_51
| ~ spl41_89 ),
inference(avatar_split_clause,[],[f977,f974,f730,f1181]) ).
fof(f1181,plain,
( spl41_137
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK25(X0,X1))
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_137])]) ).
fof(f974,plain,
( spl41_89
<=> ! [X0,X1] :
( leq(n0,sK25(X0,X1))
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_89])]) ).
fof(f977,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK25(X0,X1))
| ~ sP6(X0,X1) )
| ~ spl41_51
| ~ spl41_89 ),
inference(forward_demodulation,[],[f975,f732]) ).
fof(f975,plain,
( ! [X0,X1] :
( leq(n0,sK25(X0,X1))
| ~ sP6(X0,X1) )
| ~ spl41_89 ),
inference(avatar_component_clause,[],[f974]) ).
fof(f1179,plain,
( spl41_136
| ~ spl41_51
| ~ spl41_87 ),
inference(avatar_split_clause,[],[f968,f965,f730,f1177]) ).
fof(f1177,plain,
( spl41_136
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK24(X0,X1))
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_136])]) ).
fof(f965,plain,
( spl41_87
<=> ! [X0,X1] :
( leq(n0,sK24(X0,X1))
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_87])]) ).
fof(f968,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK24(X0,X1))
| ~ sP6(X0,X1) )
| ~ spl41_51
| ~ spl41_87 ),
inference(forward_demodulation,[],[f966,f732]) ).
fof(f966,plain,
( ! [X0,X1] :
( leq(n0,sK24(X0,X1))
| ~ sP6(X0,X1) )
| ~ spl41_87 ),
inference(avatar_component_clause,[],[f965]) ).
fof(f1175,plain,
( spl41_135
| ~ spl41_51
| ~ spl41_85 ),
inference(avatar_split_clause,[],[f959,f956,f730,f1173]) ).
fof(f1173,plain,
( spl41_135
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK23(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_135])]) ).
fof(f956,plain,
( spl41_85
<=> ! [X0,X1] :
( leq(n0,sK23(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_85])]) ).
fof(f959,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK23(X0,X1))
| ~ sP3(X0,X1) )
| ~ spl41_51
| ~ spl41_85 ),
inference(forward_demodulation,[],[f957,f732]) ).
fof(f957,plain,
( ! [X0,X1] :
( leq(n0,sK23(X0,X1))
| ~ sP3(X0,X1) )
| ~ spl41_85 ),
inference(avatar_component_clause,[],[f956]) ).
fof(f1171,plain,
( spl41_134
| ~ spl41_51
| ~ spl41_83 ),
inference(avatar_split_clause,[],[f950,f947,f730,f1169]) ).
fof(f1169,plain,
( spl41_134
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK22(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_134])]) ).
fof(f947,plain,
( spl41_83
<=> ! [X0,X1] :
( leq(n0,sK22(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_83])]) ).
fof(f950,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK22(X0,X1))
| ~ sP3(X0,X1) )
| ~ spl41_51
| ~ spl41_83 ),
inference(forward_demodulation,[],[f948,f732]) ).
fof(f948,plain,
( ! [X0,X1] :
( leq(n0,sK22(X0,X1))
| ~ sP3(X0,X1) )
| ~ spl41_83 ),
inference(avatar_component_clause,[],[f947]) ).
fof(f1167,plain,
( spl41_133
| ~ spl41_8
| ~ spl41_51 ),
inference(avatar_split_clause,[],[f747,f730,f507,f1164]) ).
fof(f1164,plain,
( spl41_133
<=> init = a_select3(center_init,sK13,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_133])]) ).
fof(f507,plain,
( spl41_8
<=> init = a_select3(center_init,sK13,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_8])]) ).
fof(f747,plain,
( init = a_select3(center_init,sK13,tptp_float_0_0)
| ~ spl41_8
| ~ spl41_51 ),
inference(superposition,[],[f509,f732]) ).
fof(f509,plain,
( init = a_select3(center_init,sK13,n0)
| ~ spl41_8 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f1162,plain,
( spl41_132
| ~ spl41_51
| ~ spl41_81 ),
inference(avatar_split_clause,[],[f941,f938,f730,f1160]) ).
fof(f1160,plain,
( spl41_132
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK21(X0,X1))
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_132])]) ).
fof(f938,plain,
( spl41_81
<=> ! [X0,X1] :
( leq(n0,sK21(X0,X1))
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_81])]) ).
fof(f941,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK21(X0,X1))
| ~ sP4(X0,X1) )
| ~ spl41_51
| ~ spl41_81 ),
inference(forward_demodulation,[],[f939,f732]) ).
fof(f939,plain,
( ! [X0,X1] :
( leq(n0,sK21(X0,X1))
| ~ sP4(X0,X1) )
| ~ spl41_81 ),
inference(avatar_component_clause,[],[f938]) ).
fof(f1158,plain,
( spl41_131
| ~ spl41_51
| ~ spl41_78 ),
inference(avatar_split_clause,[],[f927,f924,f730,f1156]) ).
fof(f1156,plain,
( spl41_131
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK20(X0,X1))
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_131])]) ).
fof(f924,plain,
( spl41_78
<=> ! [X0,X1] :
( leq(n0,sK20(X0,X1))
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_78])]) ).
fof(f927,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK20(X0,X1))
| ~ sP4(X0,X1) )
| ~ spl41_51
| ~ spl41_78 ),
inference(forward_demodulation,[],[f925,f732]) ).
fof(f925,plain,
( ! [X0,X1] :
( leq(n0,sK20(X0,X1))
| ~ sP4(X0,X1) )
| ~ spl41_78 ),
inference(avatar_component_clause,[],[f924]) ).
fof(f1154,plain,
( spl41_130
| ~ spl41_51
| ~ spl41_75 ),
inference(avatar_split_clause,[],[f914,f911,f730,f1152]) ).
fof(f1152,plain,
( spl41_130
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK19(X0,X1))
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_130])]) ).
fof(f911,plain,
( spl41_75
<=> ! [X0,X1] :
( leq(n0,sK19(X0,X1))
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_75])]) ).
fof(f914,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK19(X0,X1))
| ~ sP2(X0,X1) )
| ~ spl41_51
| ~ spl41_75 ),
inference(forward_demodulation,[],[f912,f732]) ).
fof(f912,plain,
( ! [X0,X1] :
( leq(n0,sK19(X0,X1))
| ~ sP2(X0,X1) )
| ~ spl41_75 ),
inference(avatar_component_clause,[],[f911]) ).
fof(f1150,plain,
( spl41_129
| ~ spl41_51
| ~ spl41_73 ),
inference(avatar_split_clause,[],[f905,f902,f730,f1148]) ).
fof(f1148,plain,
( spl41_129
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK18(X0,X1))
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_129])]) ).
fof(f902,plain,
( spl41_73
<=> ! [X0,X1] :
( leq(n0,sK18(X0,X1))
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_73])]) ).
fof(f905,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK18(X0,X1))
| ~ sP2(X0,X1) )
| ~ spl41_51
| ~ spl41_73 ),
inference(forward_demodulation,[],[f903,f732]) ).
fof(f903,plain,
( ! [X0,X1] :
( leq(n0,sK18(X0,X1))
| ~ sP2(X0,X1) )
| ~ spl41_73 ),
inference(avatar_component_clause,[],[f902]) ).
fof(f1146,plain,
( spl41_128
| ~ spl41_51
| ~ spl41_71 ),
inference(avatar_split_clause,[],[f896,f893,f730,f1144]) ).
fof(f1144,plain,
( spl41_128
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK17(X0,X1))
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_128])]) ).
fof(f893,plain,
( spl41_71
<=> ! [X0,X1] :
( leq(n0,sK17(X0,X1))
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_71])]) ).
fof(f896,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK17(X0,X1))
| ~ sP1(X0,X1) )
| ~ spl41_51
| ~ spl41_71 ),
inference(forward_demodulation,[],[f894,f732]) ).
fof(f894,plain,
( ! [X0,X1] :
( leq(n0,sK17(X0,X1))
| ~ sP1(X0,X1) )
| ~ spl41_71 ),
inference(avatar_component_clause,[],[f893]) ).
fof(f1142,plain,
( spl41_127
| ~ spl41_51
| ~ spl41_68 ),
inference(avatar_split_clause,[],[f882,f879,f730,f1140]) ).
fof(f1140,plain,
( spl41_127
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK16(X0,X1))
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_127])]) ).
fof(f879,plain,
( spl41_68
<=> ! [X0,X1] :
( leq(n0,sK16(X0,X1))
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_68])]) ).
fof(f882,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK16(X0,X1))
| ~ sP1(X0,X1) )
| ~ spl41_51
| ~ spl41_68 ),
inference(forward_demodulation,[],[f880,f732]) ).
fof(f880,plain,
( ! [X0,X1] :
( leq(n0,sK16(X0,X1))
| ~ sP1(X0,X1) )
| ~ spl41_68 ),
inference(avatar_component_clause,[],[f879]) ).
fof(f1138,plain,
( spl41_126
| ~ spl41_51
| ~ spl41_66 ),
inference(avatar_split_clause,[],[f873,f870,f730,f1136]) ).
fof(f1136,plain,
( spl41_126
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK15(X0,X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_126])]) ).
fof(f870,plain,
( spl41_66
<=> ! [X0,X1] :
( leq(n0,sK15(X0,X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_66])]) ).
fof(f873,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK15(X0,X1))
| ~ sP0(X0,X1) )
| ~ spl41_51
| ~ spl41_66 ),
inference(forward_demodulation,[],[f871,f732]) ).
fof(f871,plain,
( ! [X0,X1] :
( leq(n0,sK15(X0,X1))
| ~ sP0(X0,X1) )
| ~ spl41_66 ),
inference(avatar_component_clause,[],[f870]) ).
fof(f1134,plain,
( spl41_125
| ~ spl41_51
| ~ spl41_64 ),
inference(avatar_split_clause,[],[f864,f861,f730,f1132]) ).
fof(f1132,plain,
( spl41_125
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK14(X0,X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_125])]) ).
fof(f861,plain,
( spl41_64
<=> ! [X0,X1] :
( leq(n0,sK14(X0,X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_64])]) ).
fof(f864,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK14(X0,X1))
| ~ sP0(X0,X1) )
| ~ spl41_51
| ~ spl41_64 ),
inference(forward_demodulation,[],[f862,f732]) ).
fof(f862,plain,
( ! [X0,X1] :
( leq(n0,sK14(X0,X1))
| ~ sP0(X0,X1) )
| ~ spl41_64 ),
inference(avatar_component_clause,[],[f861]) ).
fof(f1130,plain,
( spl41_124
| ~ spl41_51
| ~ spl41_63 ),
inference(avatar_split_clause,[],[f859,f856,f730,f1128]) ).
fof(f1128,plain,
( spl41_124
<=> ! [X0,X1] :
( leq(tptp_float_0_0,X1)
| ~ leq(minus(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_124])]) ).
fof(f856,plain,
( spl41_63
<=> ! [X0,X1] :
( leq(n0,X1)
| ~ leq(minus(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_63])]) ).
fof(f859,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,X1)
| ~ leq(minus(X0,X1),X0) )
| ~ spl41_51
| ~ spl41_63 ),
inference(forward_demodulation,[],[f857,f732]) ).
fof(f857,plain,
( ! [X0,X1] :
( leq(n0,X1)
| ~ leq(minus(X0,X1),X0) )
| ~ spl41_63 ),
inference(avatar_component_clause,[],[f856]) ).
fof(f1126,plain,
( spl41_123
| ~ spl41_51
| ~ spl41_62 ),
inference(avatar_split_clause,[],[f854,f851,f730,f1124]) ).
fof(f1124,plain,
( spl41_123
<=> ! [X0,X1] :
( ~ leq(tptp_float_0_0,X0)
| leq(uniform_int_rnd(X1,X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_123])]) ).
fof(f851,plain,
( spl41_62
<=> ! [X0,X1] :
( leq(uniform_int_rnd(X1,X0),X0)
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_62])]) ).
fof(f854,plain,
( ! [X0,X1] :
( ~ leq(tptp_float_0_0,X0)
| leq(uniform_int_rnd(X1,X0),X0) )
| ~ spl41_51
| ~ spl41_62 ),
inference(forward_demodulation,[],[f852,f732]) ).
fof(f852,plain,
( ! [X0,X1] :
( leq(uniform_int_rnd(X1,X0),X0)
| ~ leq(n0,X0) )
| ~ spl41_62 ),
inference(avatar_component_clause,[],[f851]) ).
fof(f1122,plain,
( spl41_122
| ~ spl41_51
| ~ spl41_61 ),
inference(avatar_split_clause,[],[f849,f845,f730,f1120]) ).
fof(f1120,plain,
( spl41_122
<=> ! [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_122])]) ).
fof(f845,plain,
( spl41_61
<=> ! [X0,X1] :
( leq(n0,uniform_int_rnd(X1,X0))
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_61])]) ).
fof(f849,plain,
( ! [X0,X1] :
( ~ leq(tptp_float_0_0,X0)
| leq(tptp_float_0_0,uniform_int_rnd(X1,X0)) )
| ~ spl41_51
| ~ spl41_61 ),
inference(forward_demodulation,[],[f848,f732]) ).
fof(f848,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,uniform_int_rnd(X1,X0))
| ~ leq(n0,X0) )
| ~ spl41_51
| ~ spl41_61 ),
inference(forward_demodulation,[],[f846,f732]) ).
fof(f846,plain,
( ! [X0,X1] :
( leq(n0,uniform_int_rnd(X1,X0))
| ~ leq(n0,X0) )
| ~ spl41_61 ),
inference(avatar_component_clause,[],[f845]) ).
fof(f1118,plain,
( ~ spl41_121
| ~ spl41_51
| spl41_53 ),
inference(avatar_split_clause,[],[f743,f739,f730,f1115]) ).
fof(f1115,plain,
( spl41_121
<=> init = a_select2(muold_init,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_121])]) ).
fof(f739,plain,
( spl41_53
<=> init = a_select2(muold_init,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_53])]) ).
fof(f743,plain,
( init != a_select2(muold_init,tptp_float_0_0)
| ~ spl41_51
| spl41_53 ),
inference(forward_demodulation,[],[f740,f732]) ).
fof(f740,plain,
( init != a_select2(muold_init,n0)
| spl41_53 ),
inference(avatar_component_clause,[],[f739]) ).
fof(f1113,plain,
spl41_120,
inference(avatar_split_clause,[],[f447,f1111]) ).
fof(f1111,plain,
( spl41_120
<=> ! [X0,X1] :
( gt(X1,X0)
| ~ leq(X0,minus(X1,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_120])]) ).
fof(f447,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(X0,minus(X1,n1)) ),
inference(definition_unfolding,[],[f353,f309]) ).
fof(f309,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(f353,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(f1109,plain,
spl41_119,
inference(avatar_split_clause,[],[f446,f1107]) ).
fof(f1107,plain,
( spl41_119
<=> ! [X0,X1] :
( leq(X0,minus(X1,n1))
| ~ gt(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_119])]) ).
fof(f446,plain,
! [X0,X1] :
( leq(X0,minus(X1,n1))
| ~ gt(X1,X0) ),
inference(definition_unfolding,[],[f354,f309]) ).
fof(f354,plain,
! [X0,X1] :
( leq(X0,pred(X1))
| ~ gt(X1,X0) ),
inference(cnf_transformation,[],[f208]) ).
fof(f1105,plain,
spl41_118,
inference(avatar_split_clause,[],[f445,f1103]) ).
fof(f1103,plain,
( spl41_118
<=> ! [X0,X1] :
( gt(plus(X1,n1),X0)
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_118])]) ).
fof(f445,plain,
! [X0,X1] :
( gt(plus(X1,n1),X0)
| ~ leq(X0,X1) ),
inference(definition_unfolding,[],[f351,f307]) ).
fof(f307,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(f351,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(f1101,plain,
spl41_117,
inference(avatar_split_clause,[],[f444,f1099]) ).
fof(f1099,plain,
( spl41_117
<=> ! [X0,X1] :
( leq(X0,X1)
| ~ gt(plus(X1,n1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_117])]) ).
fof(f444,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ gt(plus(X1,n1),X0) ),
inference(definition_unfolding,[],[f352,f307]) ).
fof(f352,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ gt(succ(X1),X0) ),
inference(cnf_transformation,[],[f207]) ).
fof(f1097,plain,
spl41_116,
inference(avatar_split_clause,[],[f443,f1095]) ).
fof(f1095,plain,
( spl41_116
<=> ! [X0,X1] :
( gt(X1,X0)
| ~ leq(plus(X0,n1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_116])]) ).
fof(f443,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(plus(X0,n1),X1) ),
inference(definition_unfolding,[],[f330,f307]) ).
fof(f330,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(f1093,plain,
spl41_115,
inference(avatar_split_clause,[],[f442,f1091]) ).
fof(f1091,plain,
( spl41_115
<=> ! [X0,X1] :
( leq(X0,plus(X1,n1))
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_115])]) ).
fof(f442,plain,
! [X0,X1] :
( leq(X0,plus(X1,n1))
| ~ leq(X0,X1) ),
inference(definition_unfolding,[],[f326,f307]) ).
fof(f326,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(f1089,plain,
spl41_114,
inference(avatar_split_clause,[],[f421,f1087]) ).
fof(f1087,plain,
( spl41_114
<=> ! [X0,X1] :
( leq(sK40(X0,X1),X1)
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_114])]) ).
fof(f421,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(f1084,plain,
spl41_113,
inference(avatar_split_clause,[],[f420,f1082]) ).
fof(f420,plain,
! [X0,X1] :
( leq(n0,sK40(X0,X1))
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f255]) ).
fof(f1080,plain,
spl41_112,
inference(avatar_split_clause,[],[f419,f1078]) ).
fof(f1078,plain,
( spl41_112
<=> ! [X0,X1] :
( leq(sK39(X0,X1),X1)
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_112])]) ).
fof(f419,plain,
! [X0,X1] :
( leq(sK39(X0,X1),X1)
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f255]) ).
fof(f1075,plain,
spl41_111,
inference(avatar_split_clause,[],[f418,f1073]) ).
fof(f418,plain,
! [X0,X1] :
( leq(n0,sK39(X0,X1))
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f255]) ).
fof(f1071,plain,
spl41_110,
inference(avatar_split_clause,[],[f416,f1069]) ).
fof(f1069,plain,
( spl41_110
<=> ! [X0,X1] :
( leq(sK38(X0,X1),X1)
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_110])]) ).
fof(f416,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(f1066,plain,
spl41_109,
inference(avatar_split_clause,[],[f415,f1064]) ).
fof(f415,plain,
! [X0,X1] :
( leq(n0,sK38(X0,X1))
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f251]) ).
fof(f1062,plain,
spl41_108,
inference(avatar_split_clause,[],[f414,f1060]) ).
fof(f1060,plain,
( spl41_108
<=> ! [X0,X1] :
( leq(sK37(X0,X1),X1)
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_108])]) ).
fof(f414,plain,
! [X0,X1] :
( leq(sK37(X0,X1),X1)
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f251]) ).
fof(f1057,plain,
spl41_107,
inference(avatar_split_clause,[],[f413,f1055]) ).
fof(f413,plain,
! [X0,X1] :
( leq(n0,sK37(X0,X1))
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f251]) ).
fof(f1053,plain,
spl41_106,
inference(avatar_split_clause,[],[f411,f1051]) ).
fof(f1051,plain,
( spl41_106
<=> ! [X0,X1] :
( leq(sK36(X0,X1),X1)
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_106])]) ).
fof(f411,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(f1048,plain,
spl41_105,
inference(avatar_split_clause,[],[f410,f1046]) ).
fof(f410,plain,
! [X0,X1] :
( leq(n0,sK36(X0,X1))
| ~ sP12(X0,X1) ),
inference(cnf_transformation,[],[f247]) ).
fof(f1044,plain,
spl41_104,
inference(avatar_split_clause,[],[f409,f1042]) ).
fof(f1042,plain,
( spl41_104
<=> ! [X0,X1] :
( leq(sK35(X0,X1),X1)
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_104])]) ).
fof(f409,plain,
! [X0,X1] :
( leq(sK35(X0,X1),X1)
| ~ sP12(X0,X1) ),
inference(cnf_transformation,[],[f247]) ).
fof(f1039,plain,
spl41_103,
inference(avatar_split_clause,[],[f408,f1037]) ).
fof(f408,plain,
! [X0,X1] :
( leq(n0,sK35(X0,X1))
| ~ sP12(X0,X1) ),
inference(cnf_transformation,[],[f247]) ).
fof(f1035,plain,
spl41_102,
inference(avatar_split_clause,[],[f396,f1033]) ).
fof(f1033,plain,
( spl41_102
<=> ! [X0,X1] :
( leq(sK32(X0,X1),X1)
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_102])]) ).
fof(f396,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(f1030,plain,
spl41_101,
inference(avatar_split_clause,[],[f395,f1028]) ).
fof(f395,plain,
! [X0,X1] :
( leq(n0,sK32(X0,X1))
| ~ sP8(X0,X1) ),
inference(cnf_transformation,[],[f238]) ).
fof(f1026,plain,
spl41_100,
inference(avatar_split_clause,[],[f394,f1024]) ).
fof(f1024,plain,
( spl41_100
<=> ! [X0,X1] :
( leq(sK31(X0,X1),X1)
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_100])]) ).
fof(f394,plain,
! [X0,X1] :
( leq(sK31(X0,X1),X1)
| ~ sP8(X0,X1) ),
inference(cnf_transformation,[],[f238]) ).
fof(f1021,plain,
spl41_99,
inference(avatar_split_clause,[],[f393,f1019]) ).
fof(f393,plain,
! [X0,X1] :
( leq(n0,sK31(X0,X1))
| ~ sP8(X0,X1) ),
inference(cnf_transformation,[],[f238]) ).
fof(f1017,plain,
spl41_98,
inference(avatar_split_clause,[],[f385,f1015]) ).
fof(f1015,plain,
( spl41_98
<=> ! [X0,X1] :
( leq(sK29(X0,X1),X1)
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_98])]) ).
fof(f385,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(f1012,plain,
spl41_97,
inference(avatar_split_clause,[],[f384,f1010]) ).
fof(f384,plain,
! [X0,X1] :
( leq(n0,sK29(X0,X1))
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f231]) ).
fof(f1008,plain,
spl41_96,
inference(avatar_split_clause,[],[f383,f1006]) ).
fof(f1006,plain,
( spl41_96
<=> ! [X0,X1] :
( leq(sK28(X0,X1),X1)
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_96])]) ).
fof(f383,plain,
! [X0,X1] :
( leq(sK28(X0,X1),X1)
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f231]) ).
fof(f1003,plain,
spl41_95,
inference(avatar_split_clause,[],[f382,f1001]) ).
fof(f382,plain,
! [X0,X1] :
( leq(n0,sK28(X0,X1))
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f231]) ).
fof(f999,plain,
spl41_94,
inference(avatar_split_clause,[],[f379,f997]) ).
fof(f997,plain,
( spl41_94
<=> ! [X0,X1] :
( leq(sK27(X0,X1),X1)
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_94])]) ).
fof(f379,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(f994,plain,
spl41_93,
inference(avatar_split_clause,[],[f378,f992]) ).
fof(f378,plain,
! [X0,X1] :
( leq(n0,sK27(X0,X1))
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f226]) ).
fof(f990,plain,
spl41_92,
inference(avatar_split_clause,[],[f377,f988]) ).
fof(f988,plain,
( spl41_92
<=> ! [X0,X1] :
( leq(sK26(X0,X1),X1)
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_92])]) ).
fof(f377,plain,
! [X0,X1] :
( leq(sK26(X0,X1),X1)
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f226]) ).
fof(f985,plain,
spl41_91,
inference(avatar_split_clause,[],[f376,f983]) ).
fof(f376,plain,
! [X0,X1] :
( leq(n0,sK26(X0,X1))
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f226]) ).
fof(f981,plain,
spl41_90,
inference(avatar_split_clause,[],[f374,f979]) ).
fof(f979,plain,
( spl41_90
<=> ! [X0,X1] :
( leq(sK25(X0,X1),X1)
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_90])]) ).
fof(f374,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(f976,plain,
spl41_89,
inference(avatar_split_clause,[],[f373,f974]) ).
fof(f373,plain,
! [X0,X1] :
( leq(n0,sK25(X0,X1))
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f222]) ).
fof(f972,plain,
spl41_88,
inference(avatar_split_clause,[],[f372,f970]) ).
fof(f970,plain,
( spl41_88
<=> ! [X0,X1] :
( leq(sK24(X0,X1),X1)
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_88])]) ).
fof(f372,plain,
! [X0,X1] :
( leq(sK24(X0,X1),X1)
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f222]) ).
fof(f967,plain,
spl41_87,
inference(avatar_split_clause,[],[f371,f965]) ).
fof(f371,plain,
! [X0,X1] :
( leq(n0,sK24(X0,X1))
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f222]) ).
fof(f963,plain,
spl41_86,
inference(avatar_split_clause,[],[f368,f961]) ).
fof(f961,plain,
( spl41_86
<=> ! [X0,X1] :
( leq(sK23(X0,X1),X1)
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_86])]) ).
fof(f368,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(f958,plain,
spl41_85,
inference(avatar_split_clause,[],[f367,f956]) ).
fof(f367,plain,
! [X0,X1] :
( leq(n0,sK23(X0,X1))
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f217]) ).
fof(f954,plain,
spl41_84,
inference(avatar_split_clause,[],[f366,f952]) ).
fof(f952,plain,
( spl41_84
<=> ! [X0,X1] :
( leq(sK22(X0,X1),X1)
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_84])]) ).
fof(f366,plain,
! [X0,X1] :
( leq(sK22(X0,X1),X1)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f217]) ).
fof(f949,plain,
spl41_83,
inference(avatar_split_clause,[],[f365,f947]) ).
fof(f365,plain,
! [X0,X1] :
( leq(n0,sK22(X0,X1))
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f217]) ).
fof(f945,plain,
spl41_82,
inference(avatar_split_clause,[],[f363,f943]) ).
fof(f943,plain,
( spl41_82
<=> ! [X0,X1] :
( leq(sK21(X0,X1),X1)
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_82])]) ).
fof(f363,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(f940,plain,
spl41_81,
inference(avatar_split_clause,[],[f362,f938]) ).
fof(f362,plain,
! [X0,X1] :
( leq(n0,sK21(X0,X1))
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f213]) ).
fof(f936,plain,
( spl41_80
| ~ spl41_1
| ~ spl41_55 ),
inference(avatar_split_clause,[],[f795,f766,f472,f933]) ).
fof(f933,plain,
( spl41_80
<=> leq(n1,loopcounter) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_80])]) ).
fof(f472,plain,
( spl41_1
<=> gt(loopcounter,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_1])]) ).
fof(f766,plain,
( spl41_55
<=> ! [X0,X1] :
( leq(X0,X1)
| ~ gt(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_55])]) ).
fof(f795,plain,
( leq(n1,loopcounter)
| ~ spl41_1
| ~ spl41_55 ),
inference(resolution,[],[f767,f474]) ).
fof(f474,plain,
( gt(loopcounter,n1)
| ~ spl41_1 ),
inference(avatar_component_clause,[],[f472]) ).
fof(f767,plain,
( ! [X0,X1] :
( ~ gt(X1,X0)
| leq(X0,X1) )
| ~ spl41_55 ),
inference(avatar_component_clause,[],[f766]) ).
fof(f931,plain,
spl41_79,
inference(avatar_split_clause,[],[f361,f929]) ).
fof(f929,plain,
( spl41_79
<=> ! [X0,X1] :
( leq(sK20(X0,X1),X1)
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_79])]) ).
fof(f361,plain,
! [X0,X1] :
( leq(sK20(X0,X1),X1)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f213]) ).
fof(f926,plain,
spl41_78,
inference(avatar_split_clause,[],[f360,f924]) ).
fof(f360,plain,
! [X0,X1] :
( leq(n0,sK20(X0,X1))
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f213]) ).
fof(f922,plain,
spl41_77,
inference(avatar_split_clause,[],[f357,f920]) ).
fof(f920,plain,
( spl41_77
<=> ! [X2,X0,X1] : a_select2(tptp_update2(X0,X1,X2),X1) = X2 ),
introduced(avatar_definition,[new_symbols(naming,[spl41_77])]) ).
fof(f357,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(f918,plain,
spl41_76,
inference(avatar_split_clause,[],[f348,f916]) ).
fof(f916,plain,
( spl41_76
<=> ! [X0,X1] :
( leq(sK19(X0,X1),X1)
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_76])]) ).
fof(f348,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(f913,plain,
spl41_75,
inference(avatar_split_clause,[],[f347,f911]) ).
fof(f347,plain,
! [X0,X1] :
( leq(n0,sK19(X0,X1))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f205]) ).
fof(f909,plain,
spl41_74,
inference(avatar_split_clause,[],[f346,f907]) ).
fof(f907,plain,
( spl41_74
<=> ! [X0,X1] :
( leq(sK18(X0,X1),X1)
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_74])]) ).
fof(f346,plain,
! [X0,X1] :
( leq(sK18(X0,X1),X1)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f205]) ).
fof(f904,plain,
spl41_73,
inference(avatar_split_clause,[],[f345,f902]) ).
fof(f345,plain,
! [X0,X1] :
( leq(n0,sK18(X0,X1))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f205]) ).
fof(f900,plain,
spl41_72,
inference(avatar_split_clause,[],[f342,f898]) ).
fof(f898,plain,
( spl41_72
<=> ! [X0,X1] :
( leq(sK17(X0,X1),X1)
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_72])]) ).
fof(f342,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(f895,plain,
spl41_71,
inference(avatar_split_clause,[],[f341,f893]) ).
fof(f341,plain,
! [X0,X1] :
( leq(n0,sK17(X0,X1))
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f201]) ).
fof(f891,plain,
spl41_70,
inference(avatar_split_clause,[],[f340,f889]) ).
fof(f889,plain,
( spl41_70
<=> ! [X0,X1] :
( leq(sK16(X0,X1),X1)
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_70])]) ).
fof(f340,plain,
! [X0,X1] :
( leq(sK16(X0,X1),X1)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f201]) ).
fof(f887,plain,
( spl41_69
| ~ spl41_2
| ~ spl41_51 ),
inference(avatar_split_clause,[],[f745,f730,f477,f884]) ).
fof(f884,plain,
( spl41_69
<=> leq(tptp_float_0_0,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_69])]) ).
fof(f745,plain,
( leq(tptp_float_0_0,sK13)
| ~ spl41_2
| ~ spl41_51 ),
inference(superposition,[],[f479,f732]) ).
fof(f881,plain,
spl41_68,
inference(avatar_split_clause,[],[f339,f879]) ).
fof(f339,plain,
! [X0,X1] :
( leq(n0,sK16(X0,X1))
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f201]) ).
fof(f877,plain,
spl41_67,
inference(avatar_split_clause,[],[f336,f875]) ).
fof(f875,plain,
( spl41_67
<=> ! [X0,X1] :
( leq(sK15(X0,X1),X1)
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_67])]) ).
fof(f336,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(f872,plain,
spl41_66,
inference(avatar_split_clause,[],[f335,f870]) ).
fof(f335,plain,
! [X0,X1] :
( leq(n0,sK15(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f197]) ).
fof(f868,plain,
spl41_65,
inference(avatar_split_clause,[],[f334,f866]) ).
fof(f866,plain,
( spl41_65
<=> ! [X0,X1] :
( leq(sK14(X0,X1),X1)
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_65])]) ).
fof(f334,plain,
! [X0,X1] :
( leq(sK14(X0,X1),X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f197]) ).
fof(f863,plain,
spl41_64,
inference(avatar_split_clause,[],[f333,f861]) ).
fof(f333,plain,
! [X0,X1] :
( leq(n0,sK14(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f197]) ).
fof(f858,plain,
spl41_63,
inference(avatar_split_clause,[],[f331,f856]) ).
fof(f331,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(f853,plain,
spl41_62,
inference(avatar_split_clause,[],[f328,f851]) ).
fof(f328,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(f847,plain,
spl41_61,
inference(avatar_split_clause,[],[f327,f845]) ).
fof(f327,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(f834,plain,
( ~ spl41_60
| ~ spl41_51
| spl41_52 ),
inference(avatar_split_clause,[],[f744,f735,f730,f831]) ).
fof(f831,plain,
( spl41_60
<=> leq(tptp_float_0_0,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_60])]) ).
fof(f744,plain,
( ~ leq(tptp_float_0_0,n4)
| ~ spl41_51
| spl41_52 ),
inference(forward_demodulation,[],[f737,f732]) ).
fof(f737,plain,
( ~ leq(n0,n4)
| spl41_52 ),
inference(avatar_component_clause,[],[f735]) ).
fof(f821,plain,
spl41_59,
inference(avatar_split_clause,[],[f433,f819]) ).
fof(f819,plain,
( spl41_59
<=> ! [X0] : plus(X0,n1) = plus(n1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_59])]) ).
fof(f433,plain,
! [X0] : plus(X0,n1) = plus(n1,X0),
inference(definition_unfolding,[],[f308,f307]) ).
fof(f308,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(f817,plain,
spl41_58,
inference(avatar_split_clause,[],[f432,f815]) ).
fof(f815,plain,
( spl41_58
<=> ! [X0] : plus(minus(X0,n1),n1) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl41_58])]) ).
fof(f432,plain,
! [X0] : plus(minus(X0,n1),n1) = X0,
inference(definition_unfolding,[],[f305,f307,f309]) ).
fof(f305,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(f813,plain,
spl41_57,
inference(avatar_split_clause,[],[f431,f811]) ).
fof(f811,plain,
( spl41_57
<=> ! [X0] : minus(plus(X0,n1),n1) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl41_57])]) ).
fof(f431,plain,
! [X0] : minus(plus(X0,n1),n1) = X0,
inference(definition_unfolding,[],[f304,f309,f307]) ).
fof(f304,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(f772,plain,
( spl41_56
| ~ spl41_51
| ~ spl41_54 ),
inference(avatar_split_clause,[],[f764,f761,f730,f770]) ).
fof(f770,plain,
( spl41_56
<=> ! [X0] : tptp_float_0_0 = sum(tptp_float_0_0,tptp_minus_1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_56])]) ).
fof(f761,plain,
( spl41_54
<=> ! [X0] : tptp_float_0_0 = sum(n0,tptp_minus_1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_54])]) ).
fof(f764,plain,
( ! [X0] : tptp_float_0_0 = sum(tptp_float_0_0,tptp_minus_1,X0)
| ~ spl41_51
| ~ spl41_54 ),
inference(forward_demodulation,[],[f762,f732]) ).
fof(f762,plain,
( ! [X0] : tptp_float_0_0 = sum(n0,tptp_minus_1,X0)
| ~ spl41_54 ),
inference(avatar_component_clause,[],[f761]) ).
fof(f768,plain,
spl41_55,
inference(avatar_split_clause,[],[f329,f766]) ).
fof(f329,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(f763,plain,
spl41_54,
inference(avatar_split_clause,[],[f310,f761]) ).
fof(f310,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(f742,plain,
( ~ spl41_52
| spl41_53
| ~ spl41_37
| ~ spl41_38 ),
inference(avatar_split_clause,[],[f660,f656,f651,f739,f735]) ).
fof(f656,plain,
( spl41_38
<=> ! [X3] :
( init = a_select2(muold_init,X3)
| ~ leq(n0,X3)
| ~ leq(X3,n4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_38])]) ).
fof(f660,plain,
( init = a_select2(muold_init,n0)
| ~ leq(n0,n4)
| ~ spl41_37
| ~ spl41_38 ),
inference(resolution,[],[f657,f652]) ).
fof(f657,plain,
( ! [X3] :
( ~ leq(n0,X3)
| init = a_select2(muold_init,X3)
| ~ leq(X3,n4) )
| ~ spl41_38 ),
inference(avatar_component_clause,[],[f656]) ).
fof(f733,plain,
( spl41_51
| ~ spl41_50 ),
inference(avatar_split_clause,[],[f728,f725,f730]) ).
fof(f725,plain,
( spl41_50
<=> ! [X0] : n0 = sum(n0,tptp_minus_1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_50])]) ).
fof(f728,plain,
( n0 = tptp_float_0_0
| ~ spl41_50 ),
inference(forward_demodulation,[],[f726,f310]) ).
fof(f726,plain,
( ! [X0] : n0 = sum(n0,tptp_minus_1,X0)
| ~ spl41_50 ),
inference(avatar_component_clause,[],[f725]) ).
fof(f727,plain,
spl41_50,
inference(avatar_split_clause,[],[f306,f725]) ).
fof(f306,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(f717,plain,
spl41_49,
inference(avatar_split_clause,[],[f462,f714]) ).
fof(f714,plain,
( spl41_49
<=> n5 = plus(n4,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_49])]) ).
fof(f462,plain,
n5 = plus(n4,n1),
inference(forward_demodulation,[],[f461,f458]) ).
fof(f458,plain,
n4 = plus(n3,n1),
inference(forward_demodulation,[],[f457,f455]) ).
fof(f455,plain,
n3 = plus(n2,n1),
inference(forward_demodulation,[],[f454,f453]) ).
fof(f453,plain,
n2 = plus(n1,n1),
inference(forward_demodulation,[],[f426,f424]) ).
fof(f424,plain,
n1 = plus(n0,n1),
inference(definition_unfolding,[],[f295,f307]) ).
fof(f295,plain,
n1 = succ(n0),
inference(cnf_transformation,[],[f91]) ).
fof(f91,axiom,
n1 = succ(n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_1) ).
fof(f426,plain,
n2 = plus(plus(n0,n1),n1),
inference(definition_unfolding,[],[f297,f307,f307]) ).
fof(f297,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(f454,plain,
n3 = plus(plus(n1,n1),n1),
inference(forward_demodulation,[],[f427,f424]) ).
fof(f427,plain,
n3 = plus(plus(plus(n0,n1),n1),n1),
inference(definition_unfolding,[],[f298,f307,f307,f307]) ).
fof(f298,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(f457,plain,
n4 = plus(plus(n2,n1),n1),
inference(forward_demodulation,[],[f456,f453]) ).
fof(f456,plain,
n4 = plus(plus(plus(n1,n1),n1),n1),
inference(forward_demodulation,[],[f428,f424]) ).
fof(f428,plain,
n4 = plus(plus(plus(plus(n0,n1),n1),n1),n1),
inference(definition_unfolding,[],[f299,f307,f307,f307,f307]) ).
fof(f299,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(f461,plain,
n5 = plus(plus(n3,n1),n1),
inference(forward_demodulation,[],[f460,f455]) ).
fof(f460,plain,
n5 = plus(plus(plus(n2,n1),n1),n1),
inference(forward_demodulation,[],[f459,f453]) ).
fof(f459,plain,
n5 = plus(plus(plus(plus(n1,n1),n1),n1),n1),
inference(forward_demodulation,[],[f429,f424]) ).
fof(f429,plain,
n5 = plus(plus(plus(plus(plus(n0,n1),n1),n1),n1),n1),
inference(definition_unfolding,[],[f300,f307,f307,f307,f307,f307]) ).
fof(f300,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(f712,plain,
spl41_48,
inference(avatar_split_clause,[],[f458,f709]) ).
fof(f709,plain,
( spl41_48
<=> n4 = plus(n3,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_48])]) ).
fof(f707,plain,
spl41_47,
inference(avatar_split_clause,[],[f455,f704]) ).
fof(f704,plain,
( spl41_47
<=> n3 = plus(n2,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_47])]) ).
fof(f702,plain,
spl41_46,
inference(avatar_split_clause,[],[f453,f699]) ).
fof(f699,plain,
( spl41_46
<=> n2 = plus(n1,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_46])]) ).
fof(f697,plain,
spl41_45,
inference(avatar_split_clause,[],[f430,f695]) ).
fof(f695,plain,
( spl41_45
<=> ! [X0] : gt(plus(X0,n1),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_45])]) ).
fof(f430,plain,
! [X0] : gt(plus(X0,n1),X0),
inference(definition_unfolding,[],[f303,f307]) ).
fof(f303,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(f693,plain,
spl41_44,
inference(avatar_split_clause,[],[f425,f690]) ).
fof(f690,plain,
( spl41_44
<=> n0 = plus(tptp_minus_1,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_44])]) ).
fof(f425,plain,
n0 = plus(tptp_minus_1,n1),
inference(definition_unfolding,[],[f296,f307]) ).
fof(f296,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(f688,plain,
spl41_43,
inference(avatar_split_clause,[],[f424,f685]) ).
fof(f685,plain,
( spl41_43
<=> n1 = plus(n0,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_43])]) ).
fof(f681,plain,
spl41_42,
inference(avatar_split_clause,[],[f258,f679]) ).
fof(f679,plain,
( spl41_42
<=> ! [X6,X5] :
( init = a_select3(q_init,X5,X6)
| ~ leq(X6,n4)
| ~ leq(n0,X6)
| ~ leq(X5,n135299)
| ~ leq(n0,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_42])]) ).
fof(f258,plain,
! [X6,X5] :
( init = a_select3(q_init,X5,X6)
| ~ leq(X6,n4)
| ~ leq(n0,X6)
| ~ leq(X5,n135299)
| ~ leq(n0,X5) ),
inference(cnf_transformation,[],[f194]) ).
fof(f194,plain,
( init != a_select2(sigmaold_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] :
( ! [X6] :
( init = a_select3(q_init,X5,X6)
| ~ leq(X6,n4)
| ~ leq(n0,X6) )
| ~ leq(X5,n135299)
| ~ leq(n0,X5) )
& gt(loopcounter,n1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f192,f193]) ).
fof(f193,plain,
( ? [X0] :
( init != a_select2(sigmaold_init,X0)
& leq(X0,n4)
& leq(n0,X0) )
=> ( init != a_select2(sigmaold_init,sK13)
& leq(sK13,n4)
& leq(n0,sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f192,plain,
( ? [X0] :
( init != a_select2(sigmaold_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] :
( ! [X6] :
( init = a_select3(q_init,X5,X6)
| ~ leq(X6,n4)
| ~ leq(n0,X6) )
| ~ leq(X5,n135299)
| ~ leq(n0,X5) )
& gt(loopcounter,n1) ),
inference(rectify,[],[f117]) ).
fof(f117,plain,
( ? [X6] :
( init != a_select2(sigmaold_init,X6)
& leq(X6,n4)
& leq(n0,X6) )
& ( ! [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] :
( ! [X5] :
( init = a_select3(q_init,X4,X5)
| ~ leq(X5,n4)
| ~ leq(n0,X5) )
| ~ leq(X4,n135299)
| ~ leq(n0,X4) )
& gt(loopcounter,n1) ),
inference(flattening,[],[f116]) ).
fof(f116,plain,
( ? [X6] :
( init != a_select2(sigmaold_init,X6)
& leq(X6,n4)
& leq(n0,X6) )
& ( ! [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] :
( ! [X5] :
( init = a_select3(q_init,X4,X5)
| ~ leq(X5,n4)
| ~ leq(n0,X5) )
| ~ leq(X4,n135299)
| ~ leq(n0,X4) )
& gt(loopcounter,n1) ),
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,n135299)
& leq(n0,X4) )
=> ! [X5] :
( ( leq(X5,n4)
& leq(n0,X5) )
=> init = a_select3(q_init,X4,X5) ) )
& gt(loopcounter,n1) )
=> ! [X6] :
( ( leq(X6,n4)
& leq(n0,X6) )
=> init = a_select2(sigmaold_init,X6) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( ( gt(loopcounter,n1)
=> ! [X21] :
( ( leq(X21,n4)
& leq(n0,X21) )
=> init = a_select2(sigmaold_init,X21) ) )
& ( gt(loopcounter,n1)
=> ! [X20] :
( ( leq(X20,n4)
& leq(n0,X20) )
=> init = a_select2(rhoold_init,X20) ) )
& ( gt(loopcounter,n1)
=> ! [X19] :
( ( leq(X19,n4)
& leq(n0,X19) )
=> init = a_select2(muold_init,X19) ) )
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select3(center_init,X3,n0) )
& ! [X13] :
( ( leq(X13,n135299)
& leq(n0,X13) )
=> ! [X17] :
( ( leq(X17,n4)
& leq(n0,X17) )
=> a_select3(q_init,X13,X17) = init ) )
& gt(loopcounter,n1) )
=> ! [X27] :
( ( leq(X27,n4)
& leq(n0,X27) )
=> init = a_select2(sigmaold_init,X27) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( ( gt(loopcounter,n1)
=> ! [X21] :
( ( leq(X21,n4)
& leq(n0,X21) )
=> init = a_select2(sigmaold_init,X21) ) )
& ( gt(loopcounter,n1)
=> ! [X20] :
( ( leq(X20,n4)
& leq(n0,X20) )
=> init = a_select2(rhoold_init,X20) ) )
& ( gt(loopcounter,n1)
=> ! [X19] :
( ( leq(X19,n4)
& leq(n0,X19) )
=> init = a_select2(muold_init,X19) ) )
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select3(center_init,X3,n0) )
& ! [X13] :
( ( leq(X13,n135299)
& leq(n0,X13) )
=> ! [X17] :
( ( leq(X17,n4)
& leq(n0,X17) )
=> a_select3(q_init,X13,X17) = init ) )
& gt(loopcounter,n1) )
=> ! [X27] :
( ( leq(X27,n4)
& leq(n0,X27) )
=> init = a_select2(sigmaold_init,X27) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_init_0111) ).
fof(f675,plain,
( ~ spl41_1
| spl41_41 ),
inference(avatar_split_clause,[],[f262,f673,f472]) ).
fof(f262,plain,
! [X1] :
( init = a_select2(sigmaold_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1)
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f194]) ).
fof(f671,plain,
( ~ spl41_3
| spl41_40
| ~ spl41_2
| ~ spl41_38 ),
inference(avatar_split_clause,[],[f659,f656,f477,f668,f482]) ).
fof(f668,plain,
( spl41_40
<=> init = a_select2(muold_init,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_40])]) ).
fof(f659,plain,
( init = a_select2(muold_init,sK13)
| ~ leq(sK13,n4)
| ~ spl41_2
| ~ spl41_38 ),
inference(resolution,[],[f657,f479]) ).
fof(f664,plain,
( ~ spl41_1
| spl41_39 ),
inference(avatar_split_clause,[],[f261,f662,f472]) ).
fof(f261,plain,
! [X2] :
( init = a_select2(rhoold_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2)
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f194]) ).
fof(f658,plain,
( ~ spl41_1
| spl41_38 ),
inference(avatar_split_clause,[],[f260,f656,f472]) ).
fof(f260,plain,
! [X3] :
( init = a_select2(muold_init,X3)
| ~ leq(X3,n4)
| ~ leq(n0,X3)
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f194]) ).
fof(f653,plain,
spl41_37,
inference(avatar_split_clause,[],[f302,f651]) ).
fof(f302,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(f649,plain,
spl41_36,
inference(avatar_split_clause,[],[f301,f647]) ).
fof(f647,plain,
( spl41_36
<=> ! [X0] : ~ gt(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_36])]) ).
fof(f301,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(f645,plain,
spl41_35,
inference(avatar_split_clause,[],[f294,f642]) ).
fof(f642,plain,
( spl41_35
<=> gt(n0,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_35])]) ).
fof(f294,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(f640,plain,
spl41_34,
inference(avatar_split_clause,[],[f293,f637]) ).
fof(f637,plain,
( spl41_34
<=> gt(n1,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_34])]) ).
fof(f293,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(f635,plain,
spl41_33,
inference(avatar_split_clause,[],[f292,f632]) ).
fof(f632,plain,
( spl41_33
<=> gt(n1,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_33])]) ).
fof(f292,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(f630,plain,
spl41_32,
inference(avatar_split_clause,[],[f291,f627]) ).
fof(f627,plain,
( spl41_32
<=> gt(n4,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_32])]) ).
fof(f291,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(f625,plain,
spl41_31,
inference(avatar_split_clause,[],[f290,f622]) ).
fof(f622,plain,
( spl41_31
<=> gt(n4,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_31])]) ).
fof(f290,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(f620,plain,
spl41_30,
inference(avatar_split_clause,[],[f289,f617]) ).
fof(f617,plain,
( spl41_30
<=> gt(n4,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_30])]) ).
fof(f289,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(f615,plain,
spl41_29,
inference(avatar_split_clause,[],[f288,f612]) ).
fof(f612,plain,
( spl41_29
<=> gt(n4,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_29])]) ).
fof(f288,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(f610,plain,
spl41_28,
inference(avatar_split_clause,[],[f287,f607]) ).
fof(f607,plain,
( spl41_28
<=> gt(n4,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_28])]) ).
fof(f287,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(f605,plain,
spl41_27,
inference(avatar_split_clause,[],[f286,f602]) ).
fof(f602,plain,
( spl41_27
<=> gt(n2,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_27])]) ).
fof(f286,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(f600,plain,
spl41_26,
inference(avatar_split_clause,[],[f285,f597]) ).
fof(f597,plain,
( spl41_26
<=> gt(n2,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_26])]) ).
fof(f285,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(f595,plain,
spl41_25,
inference(avatar_split_clause,[],[f284,f592]) ).
fof(f592,plain,
( spl41_25
<=> gt(n2,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_25])]) ).
fof(f284,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(f590,plain,
spl41_24,
inference(avatar_split_clause,[],[f283,f587]) ).
fof(f587,plain,
( spl41_24
<=> gt(n3,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_24])]) ).
fof(f283,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(f585,plain,
spl41_23,
inference(avatar_split_clause,[],[f282,f582]) ).
fof(f582,plain,
( spl41_23
<=> gt(n3,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_23])]) ).
fof(f282,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(f580,plain,
spl41_22,
inference(avatar_split_clause,[],[f281,f577]) ).
fof(f577,plain,
( spl41_22
<=> gt(n3,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_22])]) ).
fof(f281,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(f575,plain,
spl41_21,
inference(avatar_split_clause,[],[f280,f572]) ).
fof(f572,plain,
( spl41_21
<=> gt(n3,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_21])]) ).
fof(f280,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(f570,plain,
spl41_20,
inference(avatar_split_clause,[],[f279,f567]) ).
fof(f567,plain,
( spl41_20
<=> gt(n5,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_20])]) ).
fof(f279,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(f565,plain,
spl41_19,
inference(avatar_split_clause,[],[f278,f562]) ).
fof(f562,plain,
( spl41_19
<=> gt(n5,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_19])]) ).
fof(f278,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(f560,plain,
spl41_18,
inference(avatar_split_clause,[],[f277,f557]) ).
fof(f557,plain,
( spl41_18
<=> gt(n5,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_18])]) ).
fof(f277,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(f555,plain,
spl41_17,
inference(avatar_split_clause,[],[f276,f552]) ).
fof(f552,plain,
( spl41_17
<=> gt(n5,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_17])]) ).
fof(f276,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(f550,plain,
spl41_16,
inference(avatar_split_clause,[],[f275,f547]) ).
fof(f547,plain,
( spl41_16
<=> gt(n5,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_16])]) ).
fof(f275,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(f545,plain,
spl41_15,
inference(avatar_split_clause,[],[f274,f542]) ).
fof(f542,plain,
( spl41_15
<=> gt(n5,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_15])]) ).
fof(f274,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(f540,plain,
spl41_14,
inference(avatar_split_clause,[],[f273,f537]) ).
fof(f537,plain,
( spl41_14
<=> gt(n135299,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_14])]) ).
fof(f273,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(f535,plain,
spl41_13,
inference(avatar_split_clause,[],[f272,f532]) ).
fof(f532,plain,
( spl41_13
<=> gt(n135299,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_13])]) ).
fof(f272,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(f530,plain,
spl41_12,
inference(avatar_split_clause,[],[f271,f527]) ).
fof(f527,plain,
( spl41_12
<=> gt(n135299,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_12])]) ).
fof(f271,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(f525,plain,
spl41_11,
inference(avatar_split_clause,[],[f270,f522]) ).
fof(f522,plain,
( spl41_11
<=> gt(n135299,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_11])]) ).
fof(f270,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(f520,plain,
spl41_10,
inference(avatar_split_clause,[],[f269,f517]) ).
fof(f517,plain,
( spl41_10
<=> gt(n135299,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_10])]) ).
fof(f269,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(f515,plain,
spl41_9,
inference(avatar_split_clause,[],[f268,f512]) ).
fof(f512,plain,
( spl41_9
<=> gt(n135299,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_9])]) ).
fof(f268,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(f510,plain,
( spl41_8
| ~ spl41_3
| ~ spl41_2
| ~ spl41_5 ),
inference(avatar_split_clause,[],[f495,f492,f477,f482,f507]) ).
fof(f492,plain,
( spl41_5
<=> ! [X4] :
( init = a_select3(center_init,X4,n0)
| ~ leq(X4,n4)
| ~ leq(n0,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_5])]) ).
fof(f495,plain,
( ~ leq(sK13,n4)
| init = a_select3(center_init,sK13,n0)
| ~ spl41_2
| ~ spl41_5 ),
inference(resolution,[],[f493,f479]) ).
fof(f493,plain,
( ! [X4] :
( ~ leq(n0,X4)
| ~ leq(X4,n4)
| init = a_select3(center_init,X4,n0) )
| ~ spl41_5 ),
inference(avatar_component_clause,[],[f492]) ).
fof(f505,plain,
spl41_7,
inference(avatar_split_clause,[],[f267,f502]) ).
fof(f502,plain,
( spl41_7
<=> gt(n135299,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_7])]) ).
fof(f267,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(f500,plain,
~ spl41_6,
inference(avatar_split_clause,[],[f266,f497]) ).
fof(f497,plain,
( spl41_6
<=> def = use ),
introduced(avatar_definition,[new_symbols(naming,[spl41_6])]) ).
fof(f266,plain,
def != use,
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
def != use,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',defuse) ).
fof(f494,plain,
spl41_5,
inference(avatar_split_clause,[],[f259,f492]) ).
fof(f259,plain,
! [X4] :
( init = a_select3(center_init,X4,n0)
| ~ leq(X4,n4)
| ~ leq(n0,X4) ),
inference(cnf_transformation,[],[f194]) ).
fof(f490,plain,
~ spl41_4,
inference(avatar_split_clause,[],[f265,f487]) ).
fof(f265,plain,
init != a_select2(sigmaold_init,sK13),
inference(cnf_transformation,[],[f194]) ).
fof(f485,plain,
spl41_3,
inference(avatar_split_clause,[],[f264,f482]) ).
fof(f264,plain,
leq(sK13,n4),
inference(cnf_transformation,[],[f194]) ).
fof(f480,plain,
spl41_2,
inference(avatar_split_clause,[],[f263,f477]) ).
fof(f263,plain,
leq(n0,sK13),
inference(cnf_transformation,[],[f194]) ).
fof(f475,plain,
spl41_1,
inference(avatar_split_clause,[],[f257,f472]) ).
fof(f257,plain,
gt(loopcounter,n1),
inference(cnf_transformation,[],[f194]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV187+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 21:09:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (25747)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (25751)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (25750)WARNING: value z3 for option sas not known
% 0.14/0.38 % (25748)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (25752)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)
% 0.14/0.38 % (25753)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)
% 0.14/0.38 % (25749)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (25754)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)
% 0.14/0.38 % (25750)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)
% 0.14/0.40 % (25752)First to succeed.
% 0.14/0.41 % (25752)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-25747"
% 0.14/0.41 % (25752)Refutation found. Thanks to Tanya!
% 0.14/0.41 % SZS status Theorem for theBenchmark
% 0.14/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.42 % (25752)------------------------------
% 0.14/0.42 % (25752)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.42 % (25752)Termination reason: Refutation
% 0.14/0.42
% 0.14/0.42 % (25752)Memory used [KB]: 1510
% 0.14/0.42 % (25752)Time elapsed: 0.032 s
% 0.14/0.42 % (25752)Instructions burned: 51 (million)
% 0.14/0.42 % (25747)Success in time 0.053 s
%------------------------------------------------------------------------------