TSTP Solution File: GEO011-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO011-1 : TPTP v8.1.2. Bugfixed v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n020.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 05:14:06 EDT 2024
% Result : Unsatisfiable 0.22s 0.47s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 26
% Syntax : Number of formulae : 458 ( 78 unt; 0 def)
% Number of atoms : 1278 ( 94 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 1486 ( 666 ~; 816 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 10 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 5 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-6 aty)
% Number of variables : 2764 (2764 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1438,plain,
$false,
inference(avatar_sat_refutation,[],[f99,f266,f1369,f1377,f1379,f1437]) ).
fof(f1437,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f1436]) ).
fof(f1436,plain,
( $false
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f1435,f94]) ).
fof(f94,plain,
( between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_3)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f92,plain,
( spl0_1
<=> between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f1435,plain,
( ~ between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_3)
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f1434,f29]) ).
fof(f29,plain,
! [X0,X1] : between(X0,X1,X1),
inference(superposition,[],[f13,f27]) ).
fof(f27,plain,
! [X2,X0,X1] : extension(X1,X0,X2,X2) = X0,
inference(resolution,[],[f14,f5]) ).
fof(f5,axiom,
! [X3,X0,X1] :
( ~ equidistant(X0,X1,X3,X3)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_for_equidistance) ).
fof(f14,axiom,
! [X2,X0,X1,X5] : equidistant(X1,extension(X0,X1,X5,X2),X5,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',segment_construction2) ).
fof(f13,axiom,
! [X2,X0,X1,X5] : between(X0,X1,extension(X0,X1,X5,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',segment_construction1) ).
fof(f1434,plain,
( ~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_3)
| ~ between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_3)
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f1432,f17]) ).
fof(f17,axiom,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lower_dimension3) ).
fof(f1432,plain,
( between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2)
| ~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_3)
| ~ between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_3)
| ~ spl0_1 ),
inference(superposition,[],[f8,f1427]) ).
fof(f1427,plain,
( lower_dimension_point_2 = outer_pasch(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_3)
| ~ spl0_1 ),
inference(resolution,[],[f1380,f29]) ).
fof(f1380,plain,
( ! [X0] :
( ~ between(lower_dimension_point_2,lower_dimension_point_3,X0)
| lower_dimension_point_2 = outer_pasch(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2,X0,lower_dimension_point_3) )
| ~ spl0_1 ),
inference(resolution,[],[f94,f124]) ).
fof(f124,plain,
! [X2,X3,X0,X1] :
( ~ between(X0,X3,X1)
| ~ between(X0,X1,X2)
| outer_pasch(X3,X0,X0,X2,X1) = X0 ),
inference(resolution,[],[f7,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ between(X0,X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_for_betweeness) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X5] :
( between(X0,outer_pasch(X5,X0,X1,X3,X2),X1)
| ~ between(X1,X2,X3)
| ~ between(X0,X5,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',outer_pasch1) ).
fof(f8,axiom,
! [X2,X3,X0,X1,X5] :
( between(X3,X5,outer_pasch(X5,X0,X1,X3,X2))
| ~ between(X1,X2,X3)
| ~ between(X0,X5,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',outer_pasch2) ).
fof(f1379,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f1378]) ).
fof(f1378,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_3 ),
inference(global_subsumption,[],[f94,f12,f25,f15,f16,f17,f4,f1,f5,f13,f14,f27,f29,f28,f2,f6,f34,f37,f38,f43,f47,f36,f42,f63,f69,f64,f73,f66,f62,f21,f90,f32,f35,f114,f120,f7,f125,f118,f129,f131,f119,f136,f138,f140,f112,f149,f113,f157,f115,f162,f163,f164,f128,f171,f137,f177,f178,f179,f147,f185,f187,f148,f194,f196,f8,f201,f169,f204,f206,f170,f213,f215,f184,f224,f193,f229,f230,f231,f222,f237,f239,f223,f246,f248,f3,f253,f255,f257,f261,f270,f268,f272,f44,f277,f279,f48,f291,f292,f293,f294,f297,f298,f299,f300,f301,f275,f306,f307,f308,f304,f356,f276,f382,f386,f381,f412,f413,f9,f418,f419,f420,f387,f278,f468,f469,f51,f512,f516,f517,f70,f531,f532,f533,f534,f535,f538,f539,f540,f541,f542,f521,f550,f557,f570,f74,f578,f579,f580,f581,f583,f584,f585,f80,f587,f588,f590,f591,f592,f593,f595,f596,f597,f384,f599,f600,f603,f604,f605,f607,f608,f609,f610,f618,f625,f626,f627,f385,f653,f654,f655,f657,f658,f659,f660,f661,f662,f10,f664,f665,f666,f87,f677,f678,f679,f680,f681,f682,f683,f686,f687,f688,f689,f690,f691,f692,f321,f705,f706,f400,f748,f749,f750,f756,f433,f762,f770,f771,f509,f813,f814,f815,f816,f822,f817,f828,f836,f837,f838,f510,f865,f866,f867,f868,f869,f871,f872,f875,f511,f879,f880,f881,f882,f883,f887,f888,f889,f513,f895,f896,f897,f905,f906,f907,f11,f947,f948,f514,f953,f954,f955,f963,f964,f965,f515,f1009,f1010,f1011,f1019,f1020,f1021,f577,f1064,f1065,f1066,f1067,f1068,f1069,f1070,f1071,f1076,f582,f1082,f1083,f1084,f1085,f1093,f1094,f1095,f589,f1138,f1139,f1140,f1141,f1142,f1143,f1144,f1145,f1146,f1147,f1148,f1151,f20,f1153,f1154,f1155,f1156,f1157,f1158,f1159,f1160,f1161,f1162,f1163,f1164,f1165,f1166,f1167,f1168,f1169,f1170,f1171,f1172,f1173,f1174,f1175,f1176,f1177,f1178,f1179,f1180,f1181,f594,f1186,f1187,f1188,f1189,f1197,f1198,f1199,f1200,f19,f1240,f1241,f1242,f1243,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f820,f1258,f1259,f1264,f1265,f1266,f1267,f821,f1273,f1274,f1279,f1280,f1281,f1282,f18,f1285,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f1305,f1306,f1307,f1308,f1309,f1310,f1312,f1313,f1314,f1315,f273,f1332,f1333,f1335,f1336,f1337,f124,f1342,f1343,f1344,f1345,f1346,f1348,f1350,f1353,f1354,f1355,f1371,f1341,f1334,f1372,f1374,f1375,f97]) ).
fof(f97,plain,
( ~ between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2)
| spl0_2 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f96,plain,
( spl0_2
<=> between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f1375,plain,
( between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2)
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f269,f15]) ).
fof(f269,plain,
( between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3)
| between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2)
| ~ spl0_3 ),
inference(resolution,[],[f261,f29]) ).
fof(f1374,plain,
( between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2)
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f1373,f15]) ).
fof(f1373,plain,
( between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3)
| between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f274,f27]) ).
fof(f274,plain,
( ! [X0] :
( between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2)
| between(lower_dimension_point_1,lower_dimension_point_2,extension(lower_dimension_point_1,lower_dimension_point_3,X0,X0)) )
| ~ spl0_3 ),
inference(superposition,[],[f268,f27]) ).
fof(f1372,plain,
( ! [X2] :
( ~ between(X2,lower_dimension_point_1,lower_dimension_point_2)
| between(X2,lower_dimension_point_1,lower_dimension_point_3) )
| ~ spl0_3 ),
inference(global_subsumption,[],[f12,f25,f15,f16,f17,f4,f1,f5,f13,f14,f27,f29,f28,f2,f6,f34,f37,f38,f43,f47,f36,f42,f63,f69,f64,f73,f66,f62,f21,f90,f32,f35,f114,f120,f7,f125,f118,f129,f131,f119,f136,f138,f140,f112,f149,f113,f157,f115,f162,f163,f164,f128,f171,f137,f177,f178,f179,f147,f185,f187,f148,f194,f196,f8,f201,f169,f204,f206,f170,f213,f215,f184,f224,f193,f229,f230,f231,f222,f237,f239,f223,f246,f248,f3,f253,f255,f257,f261,f270,f268,f272,f44,f277,f279,f48,f291,f292,f293,f294,f297,f298,f299,f300,f301,f275,f306,f307,f308,f304,f356,f276,f382,f386,f381,f412,f413,f9,f418,f419,f420,f387,f278,f468,f469,f51,f512,f516,f517,f70,f531,f532,f533,f534,f535,f538,f539,f540,f541,f542,f521,f550,f557,f570,f74,f578,f579,f580,f581,f583,f584,f585,f80,f587,f588,f590,f591,f592,f593,f595,f596,f597,f384,f599,f600,f603,f604,f605,f607,f608,f609,f610,f618,f625,f626,f627,f385,f653,f654,f655,f657,f658,f659,f660,f661,f662,f10,f664,f665,f666,f87,f677,f678,f679,f680,f681,f682,f683,f686,f687,f688,f689,f690,f691,f692,f321,f705,f706,f400,f748,f749,f750,f756,f433,f762,f770,f771,f509,f813,f814,f815,f816,f822,f817,f828,f836,f837,f838,f510,f865,f866,f867,f868,f869,f871,f872,f875,f511,f879,f880,f881,f882,f883,f887,f888,f889,f513,f895,f896,f897,f905,f906,f907,f11,f947,f948,f514,f953,f954,f955,f963,f964,f965,f515,f1009,f1010,f1011,f1019,f1020,f1021,f577,f1064,f1065,f1066,f1067,f1068,f1069,f1070,f1071,f1076,f582,f1082,f1083,f1084,f1085,f1093,f1094,f1095,f589,f1138,f1139,f1140,f1141,f1142,f1143,f1144,f1145,f1146,f1147,f1148,f1151,f20,f1153,f1154,f1155,f1156,f1157,f1158,f1159,f1160,f1161,f1162,f1163,f1164,f1165,f1166,f1167,f1168,f1169,f1170,f1171,f1172,f1173,f1174,f1175,f1176,f1177,f1178,f1179,f1180,f1181,f594,f1186,f1187,f1188,f1189,f1197,f1198,f1199,f1200,f19,f1240,f1241,f1242,f1243,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f820,f1258,f1259,f1264,f1265,f1266,f1267,f821,f1273,f1274,f1279,f1280,f1281,f1282,f18,f1285,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f1305,f1306,f1307,f1308,f1309,f1310,f1312,f1313,f1314,f1315,f273,f1332,f1333,f1335,f1336,f1337,f124,f1342,f1343,f1344,f1345,f1346,f1348,f1350,f1353,f1354,f1355,f1371,f1341,f1334]) ).
fof(f1334,plain,
( ! [X2,X0,X1] :
( between(lower_dimension_point_1,lower_dimension_point_2,extension(lower_dimension_point_1,lower_dimension_point_3,X0,X1))
| ~ between(X2,lower_dimension_point_1,lower_dimension_point_2)
| between(X2,lower_dimension_point_1,lower_dimension_point_3) )
| ~ spl0_3 ),
inference(resolution,[],[f273,f32]) ).
fof(f1341,plain,
( ! [X1] :
( between(X1,lower_dimension_point_1,lower_dimension_point_3)
| ~ between(X1,lower_dimension_point_1,lower_dimension_point_2) )
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1340,f27]) ).
fof(f1340,plain,
( ! [X0,X1] :
( between(X1,lower_dimension_point_1,extension(lower_dimension_point_1,lower_dimension_point_3,X0,X0))
| ~ between(X1,lower_dimension_point_1,lower_dimension_point_2) )
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f1338,f15]) ).
fof(f1338,plain,
( ! [X0,X1] :
( between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3)
| between(X1,lower_dimension_point_1,extension(lower_dimension_point_1,lower_dimension_point_3,X0,X0))
| ~ between(X1,lower_dimension_point_1,lower_dimension_point_2) )
| ~ spl0_3 ),
inference(superposition,[],[f273,f27]) ).
fof(f1371,plain,
( ! [X1] :
( between(X1,lower_dimension_point_1,lower_dimension_point_3)
| ~ between(X1,lower_dimension_point_1,lower_dimension_point_2) )
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f1370,f15]) ).
fof(f1370,plain,
( ! [X1] :
( between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3)
| between(X1,lower_dimension_point_1,lower_dimension_point_3)
| ~ between(X1,lower_dimension_point_1,lower_dimension_point_2) )
| ~ spl0_3 ),
inference(forward_demodulation,[],[f1339,f27]) ).
fof(f1339,plain,
( ! [X0,X1] :
( between(X1,lower_dimension_point_1,lower_dimension_point_3)
| between(lower_dimension_point_1,lower_dimension_point_2,extension(lower_dimension_point_1,lower_dimension_point_3,X0,X0))
| ~ between(X1,lower_dimension_point_1,lower_dimension_point_2) )
| ~ spl0_3 ),
inference(superposition,[],[f273,f27]) ).
fof(f1355,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ between(euclid1(X0,X1,X2,X3,X4),euclid2(X0,X1,X2,X3,X4),X5)
| euclid1(X0,X1,X2,X3,X4) = outer_pasch(X0,euclid1(X0,X1,X2,X3,X4),euclid1(X0,X1,X2,X3,X4),X5,euclid2(X0,X1,X2,X3,X4))
| ~ between(X2,X4,X3)
| ~ between(X1,X4,X0)
| X1 = X4 ),
inference(resolution,[],[f124,f11]) ).
fof(f1354,plain,
( ! [X2,X3,X0,X1] :
( ~ between(lower_dimension_point_1,extension(lower_dimension_point_1,lower_dimension_point_3,X0,X1),X2)
| lower_dimension_point_1 = outer_pasch(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1,X2,extension(lower_dimension_point_1,lower_dimension_point_3,X0,X1))
| between(X3,lower_dimension_point_1,extension(lower_dimension_point_1,lower_dimension_point_3,X0,X1))
| ~ between(X3,lower_dimension_point_1,lower_dimension_point_2) )
| ~ spl0_3 ),
inference(resolution,[],[f124,f273]) ).
fof(f1353,plain,
( ! [X2,X0,X1] :
( ~ between(lower_dimension_point_1,lower_dimension_point_2,X0)
| lower_dimension_point_1 = outer_pasch(extension(lower_dimension_point_1,lower_dimension_point_3,X1,X2),lower_dimension_point_1,lower_dimension_point_1,X0,lower_dimension_point_2)
| between(lower_dimension_point_1,lower_dimension_point_2,extension(lower_dimension_point_1,lower_dimension_point_3,X1,X2)) )
| ~ spl0_3 ),
inference(resolution,[],[f124,f268]) ).
fof(f1350,plain,
( ! [X2,X3,X0,X1] :
( ~ between(X0,extension(lower_dimension_point_1,lower_dimension_point_3,X1,X2),X3)
| outer_pasch(lower_dimension_point_1,X0,X0,X3,extension(lower_dimension_point_1,lower_dimension_point_3,X1,X2)) = X0
| between(lower_dimension_point_1,lower_dimension_point_2,extension(lower_dimension_point_1,lower_dimension_point_3,X1,X2))
| ~ between(X0,lower_dimension_point_1,lower_dimension_point_2) )
| ~ spl0_3 ),
inference(resolution,[],[f124,f273]) ).
fof(f1348,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ between(X0,X1,X2)
| outer_pasch(outer_pasch(X3,X0,X1,X4,X5),X0,X0,X2,X1) = X0
| ~ between(X1,X5,X4)
| ~ between(X0,X3,X5) ),
inference(resolution,[],[f124,f7]) ).
fof(f1346,plain,
! [X2,X3,X0,X1,X4] :
( ~ between(X0,extension(X0,X1,X2,X3),X4)
| outer_pasch(X1,X0,X0,X4,extension(X0,X1,X2,X3)) = X0 ),
inference(resolution,[],[f124,f13]) ).
fof(f1345,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ between(X0,euclid2(X1,X0,X2,X3,X4),X5)
| outer_pasch(X2,X0,X0,X5,euclid2(X1,X0,X2,X3,X4)) = X0
| ~ between(X2,X4,X3)
| ~ between(X0,X4,X1)
| X0 = X4 ),
inference(resolution,[],[f124,f10]) ).
fof(f1344,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ between(X0,euclid1(X1,X0,X2,X3,X4),X5)
| outer_pasch(X3,X0,X0,X5,euclid1(X1,X0,X2,X3,X4)) = X0
| ~ between(X2,X4,X3)
| ~ between(X0,X4,X1)
| X0 = X4 ),
inference(resolution,[],[f124,f9]) ).
fof(f1343,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ between(X0,outer_pasch(X1,X2,X3,X0,X4),X5)
| outer_pasch(X1,X0,X0,X5,outer_pasch(X1,X2,X3,X0,X4)) = X0
| ~ between(X3,X4,X0)
| ~ between(X2,X1,X4) ),
inference(resolution,[],[f124,f8]) ).
fof(f1342,plain,
! [X2,X0,X1] :
( ~ between(X0,X1,X2)
| outer_pasch(X1,X0,X0,X2,X1) = X0 ),
inference(resolution,[],[f124,f29]) ).
fof(f1337,plain,
( ! [X2,X3,X0,X1] :
( between(lower_dimension_point_1,lower_dimension_point_2,extension(lower_dimension_point_1,lower_dimension_point_3,X0,X1))
| ~ between(X2,lower_dimension_point_1,lower_dimension_point_2)
| ~ between(X3,X2,extension(lower_dimension_point_1,lower_dimension_point_3,X0,X1))
| between(X3,X2,lower_dimension_point_1) )
| ~ spl0_3 ),
inference(resolution,[],[f273,f2]) ).
fof(f1336,plain,
( ! [X2,X3,X0,X1] :
( between(lower_dimension_point_1,lower_dimension_point_2,extension(lower_dimension_point_1,lower_dimension_point_3,X0,X1))
| ~ between(X2,lower_dimension_point_1,lower_dimension_point_2)
| lower_dimension_point_1 = X2
| ~ between(X2,lower_dimension_point_1,X3)
| between(X2,X3,extension(lower_dimension_point_1,lower_dimension_point_3,X0,X1))
| between(X2,extension(lower_dimension_point_1,lower_dimension_point_3,X0,X1),X3) )
| ~ spl0_3 ),
inference(resolution,[],[f273,f3]) ).
fof(f1335,plain,
( ! [X0,X1] :
( between(lower_dimension_point_1,lower_dimension_point_2,extension(lower_dimension_point_1,lower_dimension_point_3,X0,X1))
| ~ between(extension(lower_dimension_point_1,lower_dimension_point_3,X0,X1),lower_dimension_point_1,lower_dimension_point_2)
| lower_dimension_point_1 = extension(lower_dimension_point_1,lower_dimension_point_3,X0,X1) )
| ~ spl0_3 ),
inference(resolution,[],[f273,f1]) ).
fof(f1333,plain,
( ! [X2,X3,X0,X1] :
( between(X0,lower_dimension_point_1,extension(lower_dimension_point_1,lower_dimension_point_3,X1,X2))
| ~ between(X0,lower_dimension_point_1,lower_dimension_point_2)
| ~ between(X3,lower_dimension_point_1,extension(lower_dimension_point_1,lower_dimension_point_3,X1,X2))
| between(X3,lower_dimension_point_1,lower_dimension_point_2) )
| ~ spl0_3 ),
inference(resolution,[],[f273,f2]) ).
fof(f1332,plain,
( ! [X2,X3,X0,X1] :
( between(X0,lower_dimension_point_1,extension(lower_dimension_point_1,lower_dimension_point_3,X1,X2))
| ~ between(X0,lower_dimension_point_1,lower_dimension_point_2)
| lower_dimension_point_1 = lower_dimension_point_2
| ~ between(lower_dimension_point_1,lower_dimension_point_2,X3)
| between(lower_dimension_point_1,X3,extension(lower_dimension_point_1,lower_dimension_point_3,X1,X2))
| between(lower_dimension_point_1,extension(lower_dimension_point_1,lower_dimension_point_3,X1,X2),X3) )
| ~ spl0_3 ),
inference(resolution,[],[f273,f3]) ).
fof(f273,plain,
( ! [X2,X0,X1] :
( between(lower_dimension_point_1,lower_dimension_point_2,extension(lower_dimension_point_1,lower_dimension_point_3,X0,X1))
| between(X2,lower_dimension_point_1,extension(lower_dimension_point_1,lower_dimension_point_3,X0,X1))
| ~ between(X2,lower_dimension_point_1,lower_dimension_point_2) )
| ~ spl0_3 ),
inference(resolution,[],[f268,f2]) ).
fof(f1315,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( between(extension(X0,X1,X2,X3),X4,X5)
| between(X5,extension(X0,X1,X2,X3),X4)
| between(X4,X5,extension(X0,X1,X2,X3))
| X1 = X6
| ~ equidistant(X5,X1,X5,X6)
| ~ equidistant(X4,X1,X4,X6)
| ~ equidistant(X2,X3,extension(X0,X1,X2,X3),X6) ),
inference(resolution,[],[f18,f275]) ).
fof(f1314,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( between(extension(X0,X1,X2,X3),X4,X5)
| between(X5,extension(X0,X1,X2,X3),X4)
| between(X4,X5,extension(X0,X1,X2,X3))
| X1 = X6
| ~ equidistant(X5,X1,X5,X6)
| ~ equidistant(X4,X1,X4,X6)
| ~ equidistant(X2,X3,X6,extension(X0,X1,X2,X3)) ),
inference(resolution,[],[f18,f276]) ).
fof(f1313,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( between(extension(X0,X1,X2,X3),X4,X5)
| between(X5,extension(X0,X1,X2,X3),X4)
| between(X4,X5,extension(X0,X1,X2,X3))
| X1 = X6
| ~ equidistant(X5,X1,X5,X6)
| ~ equidistant(X4,X1,X4,X6)
| ~ equidistant(X3,X2,X6,extension(X0,X1,X2,X3)) ),
inference(resolution,[],[f18,f509]) ).
fof(f1312,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( between(extension(X0,X1,X2,X3),X4,X5)
| between(X5,extension(X0,X1,X2,X3),X4)
| between(X4,X5,extension(X0,X1,X2,X3))
| X1 = X6
| ~ equidistant(X5,X1,X5,X6)
| ~ equidistant(X4,X1,X4,X6)
| ~ equidistant(X3,X2,extension(X0,X1,X2,X3),X6) ),
inference(resolution,[],[f18,f589]) ).
fof(f1310,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( between(X0,X1,X2)
| between(X2,X0,X1)
| between(X1,X2,X0)
| extension(X4,X0,X5,extension(X6,X5,X3,X0)) = X3
| ~ equidistant(X2,extension(X4,X0,X5,extension(X6,X5,X3,X0)),X2,X3)
| ~ equidistant(X1,extension(X4,X0,X5,extension(X6,X5,X3,X0)),X1,X3) ),
inference(resolution,[],[f18,f137]) ).
fof(f1309,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( between(X0,X1,X2)
| between(X2,X0,X1)
| between(X1,X2,X0)
| extension(X4,X0,X5,extension(X6,X5,X0,X3)) = X3
| ~ equidistant(X2,extension(X4,X0,X5,extension(X6,X5,X0,X3)),X2,X3)
| ~ equidistant(X1,extension(X4,X0,X5,extension(X6,X5,X0,X3)),X1,X3) ),
inference(resolution,[],[f18,f113]) ).
fof(f1308,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( between(X0,X1,X2)
| between(X2,X0,X1)
| between(X1,X2,X0)
| extension(X4,X0,extension(X5,X6,X3,X0),X6) = X3
| ~ equidistant(X2,extension(X4,X0,extension(X5,X6,X3,X0),X6),X2,X3)
| ~ equidistant(X1,extension(X4,X0,extension(X5,X6,X3,X0),X6),X1,X3) ),
inference(resolution,[],[f18,f184]) ).
fof(f1307,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( between(X0,X1,X2)
| between(X2,X0,X1)
| between(X1,X2,X0)
| extension(X4,X0,extension(X5,X6,X0,X3),X6) = X3
| ~ equidistant(X2,extension(X4,X0,extension(X5,X6,X0,X3),X6),X2,X3)
| ~ equidistant(X1,extension(X4,X0,extension(X5,X6,X0,X3),X6),X1,X3) ),
inference(resolution,[],[f18,f112]) ).
fof(f1306,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( between(X0,X1,X2)
| between(X2,X0,X1)
| between(X1,X2,X0)
| extension(X4,X0,X5,X6) = X3
| ~ equidistant(X2,extension(X4,X0,X5,X6),X2,X3)
| ~ equidistant(X1,extension(X4,X0,X5,X6),X1,X3)
| ~ equidistant(X5,X6,X3,X0) ),
inference(resolution,[],[f18,f400]) ).
fof(f1305,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( between(X0,X1,X2)
| between(X2,X0,X1)
| between(X1,X2,X0)
| extension(X4,X0,X5,X6) = X3
| ~ equidistant(X2,extension(X4,X0,X5,X6),X2,X3)
| ~ equidistant(X1,extension(X4,X0,X5,X6),X1,X3)
| ~ equidistant(X6,X5,X0,X3) ),
inference(resolution,[],[f18,f510]) ).
fof(f1304,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( between(X0,X1,X2)
| between(X2,X0,X1)
| between(X1,X2,X0)
| extension(X4,X0,X5,X6) = X3
| ~ equidistant(X2,extension(X4,X0,X5,X6),X2,X3)
| ~ equidistant(X1,extension(X4,X0,X5,X6),X1,X3)
| ~ equidistant(X6,X5,X3,X0) ),
inference(resolution,[],[f18,f511]) ).
fof(f1303,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( between(X0,X1,X2)
| between(X2,X0,X1)
| between(X1,X2,X0)
| extension(X4,X0,X5,X6) = X3
| ~ equidistant(X2,extension(X4,X0,X5,X6),X2,X3)
| ~ equidistant(X1,extension(X4,X0,X5,X6),X1,X3)
| ~ equidistant(X5,X6,X0,X3) ),
inference(resolution,[],[f18,f577]) ).
fof(f1302,plain,
! [X2,X3,X0,X1,X4] :
( between(X0,X1,X2)
| between(X2,X0,X1)
| between(X1,X2,X0)
| extension(X4,X0,X3,X0) = X3
| ~ equidistant(X2,extension(X4,X0,X3,X0),X2,X3)
| ~ equidistant(X1,extension(X4,X0,X3,X0),X1,X3) ),
inference(resolution,[],[f18,f62]) ).
fof(f1301,plain,
! [X2,X3,X0,X1,X4] :
( between(X0,X1,X2)
| between(X2,X0,X1)
| between(X1,X2,X0)
| extension(X4,X0,X0,X3) = X3
| ~ equidistant(X2,extension(X4,X0,X0,X3),X2,X3)
| ~ equidistant(X1,extension(X4,X0,X0,X3),X1,X3) ),
inference(resolution,[],[f18,f14]) ).
fof(f1300,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( between(extension(X0,X1,X2,X3),X4,X5)
| between(X5,extension(X0,X1,X2,X3),X4)
| between(X4,X5,extension(X0,X1,X2,X3))
| X1 = X6
| ~ equidistant(X5,X6,X5,X1)
| ~ equidistant(X4,X6,X4,X1)
| ~ equidistant(X2,X3,extension(X0,X1,X2,X3),X6) ),
inference(resolution,[],[f18,f44]) ).
fof(f1299,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( between(extension(X0,X1,X2,X3),X4,X5)
| between(X5,extension(X0,X1,X2,X3),X4)
| between(X4,X5,extension(X0,X1,X2,X3))
| X1 = X6
| ~ equidistant(X5,X6,X5,X1)
| ~ equidistant(X4,X6,X4,X1)
| ~ equidistant(X3,X2,extension(X0,X1,X2,X3),X6) ),
inference(resolution,[],[f18,f80]) ).
fof(f1298,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( between(extension(X0,X1,X2,X3),X4,X5)
| between(X5,extension(X0,X1,X2,X3),X4)
| between(X4,X5,extension(X0,X1,X2,X3))
| X1 = X6
| ~ equidistant(X5,X6,X5,X1)
| ~ equidistant(X4,X6,X4,X1)
| ~ equidistant(X2,X3,X6,extension(X0,X1,X2,X3)) ),
inference(resolution,[],[f18,f384]) ).
fof(f1297,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( between(extension(X0,X1,X2,X3),X4,X5)
| between(X5,extension(X0,X1,X2,X3),X4)
| between(X4,X5,extension(X0,X1,X2,X3))
| X1 = X6
| ~ equidistant(X5,X6,X5,X1)
| ~ equidistant(X4,X6,X4,X1)
| ~ equidistant(X3,X2,X6,extension(X0,X1,X2,X3)) ),
inference(resolution,[],[f18,f820]) ).
fof(f1296,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( between(X0,X1,X2)
| between(X2,X0,X1)
| between(X1,X2,X0)
| extension(X3,X0,extension(X4,X5,X6,X0),X5) = X6
| ~ equidistant(X2,X6,X2,extension(X3,X0,extension(X4,X5,X6,X0),X5))
| ~ equidistant(X1,X6,X1,extension(X3,X0,extension(X4,X5,X6,X0),X5)) ),
inference(resolution,[],[f18,f222]) ).
fof(f1295,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( between(X0,X1,X2)
| between(X2,X0,X1)
| between(X1,X2,X0)
| extension(X3,X0,extension(X4,X5,X0,X6),X5) = X6
| ~ equidistant(X2,X6,X2,extension(X3,X0,extension(X4,X5,X0,X6),X5))
| ~ equidistant(X1,X6,X1,extension(X3,X0,extension(X4,X5,X0,X6),X5)) ),
inference(resolution,[],[f18,f147]) ).
fof(f1294,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( between(X0,X1,X2)
| between(X2,X0,X1)
| between(X1,X2,X0)
| extension(X3,X0,X4,X5) = X6
| ~ equidistant(X2,X6,X2,extension(X3,X0,X4,X5))
| ~ equidistant(X1,X6,X1,extension(X3,X0,X4,X5))
| ~ equidistant(X5,X4,X0,X6) ),
inference(resolution,[],[f18,f51]) ).
fof(f1293,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( between(X0,X1,X2)
| between(X2,X0,X1)
| between(X1,X2,X0)
| extension(X3,X0,X4,X5) = X6
| ~ equidistant(X2,X6,X2,extension(X3,X0,X4,X5))
| ~ equidistant(X1,X6,X1,extension(X3,X0,X4,X5))
| ~ equidistant(X4,X5,X0,X6) ),
inference(resolution,[],[f18,f74]) ).
fof(f1292,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( between(X0,X1,X2)
| between(X2,X0,X1)
| between(X1,X2,X0)
| extension(X3,X0,X4,X5) = X6
| ~ equidistant(X2,X6,X2,extension(X3,X0,X4,X5))
| ~ equidistant(X1,X6,X1,extension(X3,X0,X4,X5))
| ~ equidistant(X4,X5,X6,X0) ),
inference(resolution,[],[f18,f385]) ).
fof(f1291,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( between(X0,X1,X2)
| between(X2,X0,X1)
| between(X1,X2,X0)
| extension(X3,X0,X4,X5) = X6
| ~ equidistant(X2,X6,X2,extension(X3,X0,X4,X5))
| ~ equidistant(X1,X6,X1,extension(X3,X0,X4,X5))
| ~ equidistant(X5,X4,X6,X0) ),
inference(resolution,[],[f18,f821]) ).
fof(f1290,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( between(X0,X1,X2)
| between(X2,X0,X1)
| between(X1,X2,X0)
| extension(X3,X0,X4,extension(X5,X4,X6,X0)) = X6
| ~ equidistant(X2,X6,X2,extension(X3,X0,X4,extension(X5,X4,X6,X0)))
| ~ equidistant(X1,X6,X1,extension(X3,X0,X4,extension(X5,X4,X6,X0))) ),
inference(resolution,[],[f18,f170]) ).
fof(f1289,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( between(X0,X1,X2)
| between(X2,X0,X1)
| between(X1,X2,X0)
| extension(X3,X0,X4,extension(X5,X4,X0,X6)) = X6
| ~ equidistant(X2,X6,X2,extension(X3,X0,X4,extension(X5,X4,X0,X6)))
| ~ equidistant(X1,X6,X1,extension(X3,X0,X4,extension(X5,X4,X0,X6))) ),
inference(resolution,[],[f18,f119]) ).
fof(f1288,plain,
! [X2,X3,X0,X1,X4] :
( between(X0,X1,X2)
| between(X2,X0,X1)
| between(X1,X2,X0)
| extension(X3,X0,X4,X0) = X4
| ~ equidistant(X2,X4,X2,extension(X3,X0,X4,X0))
| ~ equidistant(X1,X4,X1,extension(X3,X0,X4,X0)) ),
inference(resolution,[],[f18,f47]) ).
fof(f1287,plain,
! [X2,X3,X0,X1,X4] :
( between(X0,X1,X2)
| between(X2,X0,X1)
| between(X1,X2,X0)
| extension(X3,X0,X0,X4) = X4
| ~ equidistant(X2,X4,X2,extension(X3,X0,X0,X4))
| ~ equidistant(X1,X4,X1,extension(X3,X0,X0,X4)) ),
inference(resolution,[],[f18,f64]) ).
fof(f1285,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( between(X0,X1,X2)
| between(X2,X0,X1)
| between(X1,X2,X0)
| continuous(X3,X4,X5,X6,X7,X0) = X4
| ~ equidistant(X2,X4,X2,continuous(X3,X4,X5,X6,X7,X0))
| ~ equidistant(X1,X4,X1,continuous(X3,X4,X5,X6,X7,X0))
| ~ between(X0,X3,X5)
| ~ equidistant(X0,X5,X0,X7)
| ~ equidistant(X0,X3,X0,X6)
| ~ between(X3,X4,X5) ),
inference(resolution,[],[f18,f19]) ).
fof(f18,axiom,
! [X2,X3,X0,X1,X5] :
( ~ equidistant(X3,X5,X3,X2)
| between(X3,X0,X1)
| between(X1,X3,X0)
| between(X0,X1,X3)
| X2 = X5
| ~ equidistant(X1,X5,X1,X2)
| ~ equidistant(X0,X5,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',upper_dimension) ).
fof(f1282,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X2,extension(X3,X2,X4,X5))
| equidistant(X6,extension(X7,X6,X1,X0),X5,X4) ),
inference(resolution,[],[f821,f48]) ).
fof(f1281,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X2,extension(X3,X2,X4,X5))
| equidistant(X6,extension(X7,X6,X1,X0),X4,X5) ),
inference(resolution,[],[f821,f70]) ).
fof(f1280,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,extension(X2,X3,X4,X5),X3)
| equidistant(X6,extension(X7,X6,X1,X0),X4,X5) ),
inference(resolution,[],[f821,f35]) ).
fof(f1279,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,extension(X2,X3,X4,X5),X3)
| equidistant(X6,extension(X7,X6,X1,X0),X5,X4) ),
inference(resolution,[],[f821,f87]) ).
fof(f1274,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X2,X3)
| ~ between(X3,X4,X2)
| ~ between(X4,X5,X2)
| ~ equidistant(X3,X4,X3,X6)
| between(X6,continuous(X4,X5,X2,X6,extension(X7,X3,X1,X0),X3),extension(X7,X3,X1,X0)) ),
inference(resolution,[],[f821,f20]) ).
fof(f1273,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(X3,X2,X4,X5)
| equidistant(X4,X5,X6,extension(X7,X6,X1,X0)) ),
inference(resolution,[],[f821,f6]) ).
fof(f821,plain,
! [X2,X3,X0,X1,X4,X5] :
( equidistant(X3,X2,X4,extension(X5,X4,X1,X0))
| ~ equidistant(X0,X1,X2,X3) ),
inference(resolution,[],[f509,f34]) ).
fof(f1267,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X2,extension(X3,X2,X4,X5))
| equidistant(extension(X6,X7,X1,X0),X7,X5,X4) ),
inference(resolution,[],[f820,f48]) ).
fof(f1266,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X2,extension(X3,X2,X4,X5))
| equidistant(extension(X6,X7,X1,X0),X7,X4,X5) ),
inference(resolution,[],[f820,f70]) ).
fof(f1265,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,extension(X2,X3,X4,X5),X3)
| equidistant(extension(X6,X7,X1,X0),X7,X4,X5) ),
inference(resolution,[],[f820,f35]) ).
fof(f1264,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,extension(X2,X3,X4,X5),X3)
| equidistant(extension(X6,X7,X1,X0),X7,X5,X4) ),
inference(resolution,[],[f820,f87]) ).
fof(f1259,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X2,extension(X3,X4,X1,X0))
| ~ between(extension(X3,X4,X1,X0),X5,X2)
| ~ between(X5,X6,X2)
| ~ equidistant(extension(X3,X4,X1,X0),X5,extension(X3,X4,X1,X0),X7)
| between(X7,continuous(X5,X6,X2,X7,X4,extension(X3,X4,X1,X0)),X4) ),
inference(resolution,[],[f820,f20]) ).
fof(f1258,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(X3,X2,X4,X5)
| equidistant(X4,X5,extension(X6,X7,X1,X0),X7) ),
inference(resolution,[],[f820,f6]) ).
fof(f820,plain,
! [X2,X3,X0,X1,X4,X5] :
( equidistant(X3,X2,extension(X4,X5,X1,X0),X5)
| ~ equidistant(X0,X1,X2,X3) ),
inference(resolution,[],[f509,f42]) ).
fof(f1253,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ between(extension(X0,X1,X2,X3),X4,X5)
| ~ equidistant(extension(X0,X1,X2,X3),X5,extension(X0,X1,X2,X3),X6)
| ~ equidistant(extension(X0,X1,X2,X3),X4,extension(X0,X1,X2,X3),X7)
| ~ between(X4,X1,X5)
| equidistant(extension(X0,X1,X2,X3),continuous(X4,X1,X5,X7,X6,extension(X0,X1,X2,X3)),X3,X2) ),
inference(resolution,[],[f19,f48]) ).
fof(f1252,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ between(extension(X0,X1,X2,X3),X4,X5)
| ~ equidistant(extension(X0,X1,X2,X3),X5,extension(X0,X1,X2,X3),X6)
| ~ equidistant(extension(X0,X1,X2,X3),X4,extension(X0,X1,X2,X3),X7)
| ~ between(X4,X1,X5)
| equidistant(extension(X0,X1,X2,X3),continuous(X4,X1,X5,X7,X6,extension(X0,X1,X2,X3)),X2,X3) ),
inference(resolution,[],[f19,f70]) ).
fof(f1251,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ between(X0,X1,X2)
| ~ equidistant(X0,X2,X0,X3)
| ~ equidistant(X0,X1,X0,X4)
| ~ between(X1,extension(X5,X0,X6,X7),X2)
| equidistant(X0,continuous(X1,extension(X5,X0,X6,X7),X2,X4,X3,X0),X6,X7) ),
inference(resolution,[],[f19,f35]) ).
fof(f1250,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ between(X0,X1,X2)
| ~ equidistant(X0,X2,X0,X3)
| ~ equidistant(X0,X1,X0,X4)
| ~ between(X1,extension(X5,X0,X6,X7),X2)
| equidistant(X0,continuous(X1,extension(X5,X0,X6,X7),X2,X4,X3,X0),X7,X6) ),
inference(resolution,[],[f19,f87]) ).
fof(f1249,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ between(X0,X1,X2)
| ~ equidistant(X0,X2,X0,X3)
| ~ equidistant(X0,X1,X0,X4)
| ~ between(X1,X0,X2)
| equidistant(X0,continuous(X1,X0,X2,X4,X3,X0),X5,X5) ),
inference(resolution,[],[f19,f36]) ).
fof(f1248,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ between(X0,X1,X2)
| ~ equidistant(X0,X2,X0,X3)
| ~ equidistant(X0,X1,X0,X4)
| ~ between(X1,X0,X2)
| equidistant(X5,X5,X0,continuous(X1,X0,X2,X4,X3,X0)) ),
inference(resolution,[],[f19,f308]) ).
fof(f1247,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ between(X0,X1,X2)
| ~ equidistant(X0,X2,X0,X3)
| ~ equidistant(X0,X1,X0,X4)
| ~ between(X1,X0,X2)
| equidistant(X5,X5,continuous(X1,X0,X2,X4,X3,X0),X0) ),
inference(resolution,[],[f19,f387]) ).
fof(f1246,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ between(X0,X1,X2)
| ~ equidistant(X0,X2,X0,X3)
| ~ equidistant(X0,X1,X0,X4)
| ~ between(X1,X0,X2)
| equidistant(continuous(X1,X0,X2,X4,X3,X0),X0,X5,X5) ),
inference(resolution,[],[f19,f610]) ).
fof(f1245,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ between(X0,X1,X2)
| ~ equidistant(X0,X2,X0,X3)
| ~ equidistant(X0,X1,X0,X4)
| ~ between(X1,X5,X2)
| ~ between(X0,X6,X5)
| ~ between(X6,X7,X5)
| ~ equidistant(X0,X6,X0,X8)
| between(X8,continuous(X6,X7,X5,X8,continuous(X1,X5,X2,X4,X3,X0),X0),continuous(X1,X5,X2,X4,X3,X0)) ),
inference(resolution,[],[f19,f20]) ).
fof(f1244,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ between(X0,X1,X2)
| ~ equidistant(X0,X2,X0,X3)
| ~ equidistant(X0,X1,X0,X4)
| ~ between(X1,X5,X2)
| ~ equidistant(X0,X5,X6,X7)
| equidistant(X6,X7,X0,continuous(X1,X5,X2,X4,X3,X0)) ),
inference(resolution,[],[f19,f6]) ).
fof(f1243,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ between(X0,X1,X2)
| ~ equidistant(X0,X2,X0,X3)
| ~ equidistant(X0,X1,X0,X4)
| ~ between(X1,X5,X2)
| equidistant(X0,continuous(X1,X5,X2,X4,X3,X0),X5,X0) ),
inference(resolution,[],[f19,f34]) ).
fof(f1242,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ between(X0,X1,X2)
| ~ equidistant(X0,X2,X0,X3)
| ~ equidistant(X0,X1,X0,X4)
| ~ between(X1,X5,X2)
| equidistant(X0,continuous(X1,X5,X2,X4,X3,X0),X0,X5) ),
inference(resolution,[],[f19,f42]) ).
fof(f1241,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ between(X0,X1,X2)
| ~ equidistant(X0,X2,X0,X3)
| ~ equidistant(X0,X1,X0,X4)
| ~ between(X1,X5,X2)
| equidistant(continuous(X1,X5,X2,X4,X3,X0),X0,X5,X0) ),
inference(resolution,[],[f19,f381]) ).
fof(f1240,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ between(X0,X1,X2)
| ~ equidistant(X0,X2,X0,X3)
| ~ equidistant(X0,X1,X0,X4)
| ~ between(X1,X5,X2)
| equidistant(continuous(X1,X5,X2,X4,X3,X0),X0,X0,X5) ),
inference(resolution,[],[f19,f521]) ).
fof(f19,axiom,
! [X2,X3,X0,X1,X8,X6] :
( equidistant(X2,X1,X2,continuous(X0,X1,X3,X6,X8,X2))
| ~ between(X2,X0,X3)
| ~ equidistant(X2,X3,X2,X8)
| ~ equidistant(X2,X0,X2,X6)
| ~ between(X0,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',continuity1) ).
fof(f1200,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( equidistant(extension(X0,X1,X2,extension(X3,X2,X4,X5)),X1,X6,X6)
| ~ equidistant(X4,X5,X7,X7) ),
inference(resolution,[],[f594,f275]) ).
fof(f1199,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( equidistant(extension(X0,X1,X2,extension(X3,X2,X4,X5)),X1,X6,X6)
| ~ equidistant(X4,X5,X7,X7) ),
inference(resolution,[],[f594,f276]) ).
fof(f1198,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( equidistant(extension(X0,X1,X2,extension(X3,X2,X4,X5)),X1,X6,X6)
| ~ equidistant(X5,X4,X7,X7) ),
inference(resolution,[],[f594,f509]) ).
fof(f1197,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( equidistant(extension(X0,X1,X2,extension(X3,X2,X4,X5)),X1,X6,X6)
| ~ equidistant(X5,X4,X7,X7) ),
inference(resolution,[],[f594,f589]) ).
fof(f1189,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( equidistant(extension(X0,X1,extension(X2,X3,X4,X5),X3),X1,X6,X6)
| ~ equidistant(X4,X5,X7,X7) ),
inference(resolution,[],[f594,f400]) ).
fof(f1188,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( equidistant(extension(X0,X1,extension(X2,X3,X4,X5),X3),X1,X6,X6)
| ~ equidistant(X5,X4,X7,X7) ),
inference(resolution,[],[f594,f510]) ).
fof(f1187,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( equidistant(extension(X0,X1,extension(X2,X3,X4,X5),X3),X1,X6,X6)
| ~ equidistant(X5,X4,X7,X7) ),
inference(resolution,[],[f594,f511]) ).
fof(f1186,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( equidistant(extension(X0,X1,extension(X2,X3,X4,X5),X3),X1,X6,X6)
| ~ equidistant(X4,X5,X7,X7) ),
inference(resolution,[],[f594,f577]) ).
fof(f594,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X2,X2)
| equidistant(extension(X3,X4,X1,X0),X4,X5,X5) ),
inference(resolution,[],[f80,f36]) ).
fof(f1181,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ between(extension(X0,X1,X2,X3),X4,X1)
| ~ between(X4,X5,X1)
| ~ equidistant(extension(X0,X1,X2,X3),X4,extension(X0,X1,X2,X3),X6)
| between(X6,continuous(X4,X5,X1,X6,X7,extension(X0,X1,X2,X3)),X7)
| ~ equidistant(X2,X3,extension(X0,X1,X2,X3),X7) ),
inference(resolution,[],[f20,f275]) ).
fof(f1180,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ between(extension(X0,X1,X2,X3),X4,X1)
| ~ between(X4,X5,X1)
| ~ equidistant(extension(X0,X1,X2,X3),X4,extension(X0,X1,X2,X3),X6)
| between(X6,continuous(X4,X5,X1,X6,X7,extension(X0,X1,X2,X3)),X7)
| ~ equidistant(X2,X3,X7,extension(X0,X1,X2,X3)) ),
inference(resolution,[],[f20,f276]) ).
fof(f1179,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ between(extension(X0,X1,X2,X3),X4,X1)
| ~ between(X4,X5,X1)
| ~ equidistant(extension(X0,X1,X2,X3),X4,extension(X0,X1,X2,X3),X6)
| between(X6,continuous(X4,X5,X1,X6,X7,extension(X0,X1,X2,X3)),X7)
| ~ equidistant(X3,X2,X7,extension(X0,X1,X2,X3)) ),
inference(resolution,[],[f20,f509]) ).
fof(f1178,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ between(extension(X0,X1,X2,X3),X4,X1)
| ~ between(X4,X5,X1)
| ~ equidistant(extension(X0,X1,X2,X3),X4,extension(X0,X1,X2,X3),X6)
| between(X6,continuous(X4,X5,X1,X6,X7,extension(X0,X1,X2,X3)),X7)
| ~ equidistant(X3,X2,extension(X0,X1,X2,X3),X7) ),
inference(resolution,[],[f20,f589]) ).
fof(f1177,plain,
! [X2,X3,X0,X1] :
( ~ between(X0,X1,X0)
| ~ between(X1,X2,X0)
| ~ equidistant(X0,X1,X0,X3)
| between(X3,continuous(X1,X2,X0,X3,X0,X0),X0) ),
inference(resolution,[],[f20,f28]) ).
fof(f1176,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ between(X0,X1,extension(X2,X0,X3,extension(X4,X3,X5,X0)))
| ~ between(X1,X6,extension(X2,X0,X3,extension(X4,X3,X5,X0)))
| ~ equidistant(X0,X1,X0,X7)
| between(X7,continuous(X1,X6,extension(X2,X0,X3,extension(X4,X3,X5,X0)),X7,X5,X0),X5) ),
inference(resolution,[],[f20,f137]) ).
fof(f1175,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ between(X0,X1,extension(X2,X0,X3,extension(X4,X3,X0,X5)))
| ~ between(X1,X6,extension(X2,X0,X3,extension(X4,X3,X0,X5)))
| ~ equidistant(X0,X1,X0,X7)
| between(X7,continuous(X1,X6,extension(X2,X0,X3,extension(X4,X3,X0,X5)),X7,X5,X0),X5) ),
inference(resolution,[],[f20,f113]) ).
fof(f1174,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ between(X0,X1,extension(X2,X0,extension(X3,X4,X5,X0),X4))
| ~ between(X1,X6,extension(X2,X0,extension(X3,X4,X5,X0),X4))
| ~ equidistant(X0,X1,X0,X7)
| between(X7,continuous(X1,X6,extension(X2,X0,extension(X3,X4,X5,X0),X4),X7,X5,X0),X5) ),
inference(resolution,[],[f20,f184]) ).
fof(f1173,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ between(X0,X1,extension(X2,X0,extension(X3,X4,X0,X5),X4))
| ~ between(X1,X6,extension(X2,X0,extension(X3,X4,X0,X5),X4))
| ~ equidistant(X0,X1,X0,X7)
| between(X7,continuous(X1,X6,extension(X2,X0,extension(X3,X4,X0,X5),X4),X7,X5,X0),X5) ),
inference(resolution,[],[f20,f112]) ).
fof(f1172,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ between(X0,X1,extension(X2,X0,X3,X4))
| ~ between(X1,X5,extension(X2,X0,X3,X4))
| ~ equidistant(X0,X1,X0,X6)
| between(X6,continuous(X1,X5,extension(X2,X0,X3,X4),X6,X7,X0),X7)
| ~ equidistant(X3,X4,X7,X0) ),
inference(resolution,[],[f20,f400]) ).
fof(f1171,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ between(X0,X1,extension(X2,X0,X3,X4))
| ~ between(X1,X5,extension(X2,X0,X3,X4))
| ~ equidistant(X0,X1,X0,X6)
| between(X6,continuous(X1,X5,extension(X2,X0,X3,X4),X6,X7,X0),X7)
| ~ equidistant(X4,X3,X0,X7) ),
inference(resolution,[],[f20,f510]) ).
fof(f1170,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ between(X0,X1,extension(X2,X0,X3,X4))
| ~ between(X1,X5,extension(X2,X0,X3,X4))
| ~ equidistant(X0,X1,X0,X6)
| between(X6,continuous(X1,X5,extension(X2,X0,X3,X4),X6,X7,X0),X7)
| ~ equidistant(X4,X3,X7,X0) ),
inference(resolution,[],[f20,f511]) ).
fof(f1169,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ between(X0,X1,extension(X2,X0,X3,X4))
| ~ between(X1,X5,extension(X2,X0,X3,X4))
| ~ equidistant(X0,X1,X0,X6)
| between(X6,continuous(X1,X5,extension(X2,X0,X3,X4),X6,X7,X0),X7)
| ~ equidistant(X3,X4,X0,X7) ),
inference(resolution,[],[f20,f577]) ).
fof(f1168,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ between(X0,X1,extension(X2,X0,X3,X0))
| ~ between(X1,X4,extension(X2,X0,X3,X0))
| ~ equidistant(X0,X1,X0,X5)
| between(X5,continuous(X1,X4,extension(X2,X0,X3,X0),X5,X3,X0),X3) ),
inference(resolution,[],[f20,f62]) ).
fof(f1167,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ between(X0,X1,extension(X2,X0,X0,X3))
| ~ between(X1,X4,extension(X2,X0,X0,X3))
| ~ equidistant(X0,X1,X0,X5)
| between(X5,continuous(X1,X4,extension(X2,X0,X0,X3),X5,X3,X0),X3) ),
inference(resolution,[],[f20,f14]) ).
fof(f1166,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ between(extension(X0,X1,X2,X3),X4,X5)
| ~ between(X4,X6,X5)
| ~ equidistant(extension(X0,X1,X2,X3),X4,extension(X0,X1,X2,X3),X7)
| between(X7,continuous(X4,X6,X5,X7,X1,extension(X0,X1,X2,X3)),X1)
| ~ equidistant(X2,X3,extension(X0,X1,X2,X3),X5) ),
inference(resolution,[],[f20,f44]) ).
fof(f1165,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ between(extension(X0,X1,X2,X3),X4,X5)
| ~ between(X4,X6,X5)
| ~ equidistant(extension(X0,X1,X2,X3),X4,extension(X0,X1,X2,X3),X7)
| between(X7,continuous(X4,X6,X5,X7,X1,extension(X0,X1,X2,X3)),X1)
| ~ equidistant(X3,X2,extension(X0,X1,X2,X3),X5) ),
inference(resolution,[],[f20,f80]) ).
fof(f1164,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ between(extension(X0,X1,X2,X3),X4,X5)
| ~ between(X4,X6,X5)
| ~ equidistant(extension(X0,X1,X2,X3),X4,extension(X0,X1,X2,X3),X7)
| between(X7,continuous(X4,X6,X5,X7,X1,extension(X0,X1,X2,X3)),X1)
| ~ equidistant(X2,X3,X5,extension(X0,X1,X2,X3)) ),
inference(resolution,[],[f20,f384]) ).
fof(f1163,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ between(X0,X1,X2)
| ~ between(X1,X3,X2)
| ~ equidistant(X0,X1,X0,X4)
| between(X4,continuous(X1,X3,X2,X4,extension(X5,X0,extension(X6,X7,X2,X0),X7),X0),extension(X5,X0,extension(X6,X7,X2,X0),X7)) ),
inference(resolution,[],[f20,f222]) ).
fof(f1162,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ between(X0,X1,X2)
| ~ between(X1,X3,X2)
| ~ equidistant(X0,X1,X0,X4)
| between(X4,continuous(X1,X3,X2,X4,extension(X5,X0,extension(X6,X7,X0,X2),X7),X0),extension(X5,X0,extension(X6,X7,X0,X2),X7)) ),
inference(resolution,[],[f20,f147]) ).
fof(f1161,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ between(X0,X1,X2)
| ~ between(X1,X3,X2)
| ~ equidistant(X0,X1,X0,X4)
| between(X4,continuous(X1,X3,X2,X4,extension(X5,X0,X6,X7),X0),extension(X5,X0,X6,X7))
| ~ equidistant(X7,X6,X0,X2) ),
inference(resolution,[],[f20,f51]) ).
fof(f1160,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ between(X0,X1,X2)
| ~ between(X1,X3,X2)
| ~ equidistant(X0,X1,X0,X4)
| between(X4,continuous(X1,X3,X2,X4,extension(X5,X0,X6,X7),X0),extension(X5,X0,X6,X7))
| ~ equidistant(X6,X7,X0,X2) ),
inference(resolution,[],[f20,f74]) ).
fof(f1159,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ between(X0,X1,X2)
| ~ between(X1,X3,X2)
| ~ equidistant(X0,X1,X0,X4)
| between(X4,continuous(X1,X3,X2,X4,extension(X5,X0,X6,X7),X0),extension(X5,X0,X6,X7))
| ~ equidistant(X6,X7,X2,X0) ),
inference(resolution,[],[f20,f385]) ).
fof(f1158,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ between(X0,X1,X2)
| ~ between(X1,X3,X2)
| ~ equidistant(X0,X1,X0,X4)
| between(X4,continuous(X1,X3,X2,X4,extension(X5,X0,X6,extension(X7,X6,X2,X0)),X0),extension(X5,X0,X6,extension(X7,X6,X2,X0))) ),
inference(resolution,[],[f20,f170]) ).
fof(f1157,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ between(X0,X1,X2)
| ~ between(X1,X3,X2)
| ~ equidistant(X0,X1,X0,X4)
| between(X4,continuous(X1,X3,X2,X4,extension(X5,X0,X6,extension(X7,X6,X0,X2)),X0),extension(X5,X0,X6,extension(X7,X6,X0,X2))) ),
inference(resolution,[],[f20,f119]) ).
fof(f1156,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ between(X0,X1,X2)
| ~ between(X1,X3,X2)
| ~ equidistant(X0,X1,X0,X4)
| between(X4,continuous(X1,X3,X2,X4,extension(X5,X0,X2,X0),X0),extension(X5,X0,X2,X0)) ),
inference(resolution,[],[f20,f47]) ).
fof(f1155,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ between(X0,X1,X2)
| ~ between(X1,X3,X2)
| ~ equidistant(X0,X1,X0,X4)
| between(X4,continuous(X1,X3,X2,X4,extension(X5,X0,X0,X2),X0),extension(X5,X0,X0,X2)) ),
inference(resolution,[],[f20,f64]) ).
fof(f1154,plain,
! [X2,X3,X0,X1] :
( ~ between(X0,X1,X0)
| ~ between(X1,X2,X0)
| ~ equidistant(X0,X1,X0,X3)
| between(X3,continuous(X1,X2,X0,X3,X0,X0),X0) ),
inference(resolution,[],[f20,f4]) ).
fof(f1153,plain,
! [X2,X3,X0,X1,X4] :
( ~ between(X0,X1,X2)
| ~ between(X1,X3,X2)
| ~ equidistant(X0,X1,X0,X4)
| between(X4,continuous(X1,X3,X2,X4,X2,X0),X2) ),
inference(resolution,[],[f20,f37]) ).
fof(f20,axiom,
! [X2,X3,X0,X1,X8,X6] :
( ~ equidistant(X2,X3,X2,X8)
| ~ between(X2,X0,X3)
| ~ between(X0,X1,X3)
| ~ equidistant(X2,X0,X2,X6)
| between(X6,continuous(X0,X1,X3,X6,X8,X2),X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',continuity2) ).
fof(f1151,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(extension(X4,X5,X1,X0),X5,X6,X7)
| equidistant(X6,X7,X2,X3) ),
inference(resolution,[],[f589,f6]) ).
fof(f1148,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X3,X2,X4,extension(X5,X4,X1,X0)) ),
inference(resolution,[],[f589,f381]) ).
fof(f1147,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X3,X2,extension(X4,X5,X1,X0),X5) ),
inference(resolution,[],[f589,f521]) ).
fof(f1146,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ equidistant(X0,X1,X2,X2)
| extension(X3,X4,X5,extension(X6,X5,X1,X0)) = X4 ),
inference(resolution,[],[f589,f817]) ).
fof(f1145,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X2,X2)
| equidistant(X3,extension(X4,X3,extension(X5,X6,X1,X0),X6),X7,X7) ),
inference(resolution,[],[f589,f582]) ).
fof(f1144,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X2,X2)
| equidistant(X3,extension(X4,X3,X5,extension(X6,X5,X1,X0)),X7,X7) ),
inference(resolution,[],[f589,f515]) ).
fof(f1143,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X2,X2)
| equidistant(X3,X3,X4,extension(X5,X4,X6,extension(X7,X6,X1,X0))) ),
inference(resolution,[],[f589,f514]) ).
fof(f1142,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X2,X2)
| equidistant(X3,X3,extension(X4,X5,X6,extension(X7,X6,X1,X0)),X5) ),
inference(resolution,[],[f589,f513]) ).
fof(f1141,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X2,X2)
| equidistant(X3,X3,X4,extension(X5,X4,extension(X6,X7,X1,X0),X7)) ),
inference(resolution,[],[f589,f433]) ).
fof(f1140,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X2,X2)
| equidistant(X3,X3,extension(X4,X5,extension(X6,X7,X1,X0),X7),X5) ),
inference(resolution,[],[f589,f321]) ).
fof(f1139,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ equidistant(X0,X1,X2,X2)
| extension(X3,X4,extension(X5,X6,X1,X0),X6) = X4 ),
inference(resolution,[],[f589,f304]) ).
fof(f1138,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X2,X2)
| equidistant(extension(X3,X4,extension(X5,X6,X1,X0),X6),X4,X7,X7) ),
inference(resolution,[],[f589,f278]) ).
fof(f589,plain,
! [X2,X3,X0,X1,X4,X5] :
( equidistant(extension(X4,X5,X1,X0),X5,X2,X3)
| ~ equidistant(X0,X1,X2,X3) ),
inference(resolution,[],[f80,f42]) ).
fof(f1095,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( equidistant(X0,extension(X1,X0,extension(X2,X3,X4,X5),X3),X6,X6)
| ~ equidistant(X4,X5,X7,X7) ),
inference(resolution,[],[f582,f275]) ).
fof(f1094,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( equidistant(X0,extension(X1,X0,extension(X2,X3,X4,X5),X3),X6,X6)
| ~ equidistant(X4,X5,X7,X7) ),
inference(resolution,[],[f582,f276]) ).
fof(f1093,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( equidistant(X0,extension(X1,X0,extension(X2,X3,X4,X5),X3),X6,X6)
| ~ equidistant(X5,X4,X7,X7) ),
inference(resolution,[],[f582,f509]) ).
fof(f1085,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( equidistant(X0,extension(X1,X0,X2,extension(X3,X2,X4,X5)),X6,X6)
| ~ equidistant(X4,X5,X7,X7) ),
inference(resolution,[],[f582,f400]) ).
fof(f1084,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( equidistant(X0,extension(X1,X0,X2,extension(X3,X2,X4,X5)),X6,X6)
| ~ equidistant(X5,X4,X7,X7) ),
inference(resolution,[],[f582,f510]) ).
fof(f1083,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( equidistant(X0,extension(X1,X0,X2,extension(X3,X2,X4,X5)),X6,X6)
| ~ equidistant(X5,X4,X7,X7) ),
inference(resolution,[],[f582,f511]) ).
fof(f1082,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( equidistant(X0,extension(X1,X0,X2,extension(X3,X2,X4,X5)),X6,X6)
| ~ equidistant(X4,X5,X7,X7) ),
inference(resolution,[],[f582,f577]) ).
fof(f582,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X2,X2)
| equidistant(X3,extension(X4,X3,X0,X1),X5,X5) ),
inference(resolution,[],[f74,f36]) ).
fof(f1076,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(X4,extension(X5,X4,X0,X1),X6,X7)
| equidistant(X6,X7,X2,X3) ),
inference(resolution,[],[f577,f6]) ).
fof(f1071,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ equidistant(X0,X1,X2,X2)
| extension(X3,X4,extension(X5,X6,X0,X1),X6) = X4 ),
inference(resolution,[],[f577,f817]) ).
fof(f1070,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X2,X2)
| equidistant(X3,extension(X4,X3,extension(X5,X6,X0,X1),X6),X7,X7) ),
inference(resolution,[],[f577,f515]) ).
fof(f1069,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X2,X2)
| equidistant(X3,X3,X4,extension(X5,X4,extension(X6,X7,X0,X1),X7)) ),
inference(resolution,[],[f577,f514]) ).
fof(f1068,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X2,X2)
| equidistant(X3,X3,extension(X4,X5,extension(X6,X7,X0,X1),X7),X5) ),
inference(resolution,[],[f577,f513]) ).
fof(f1067,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X2,X2)
| equidistant(X3,X3,X4,extension(X5,X4,X6,extension(X7,X6,X0,X1))) ),
inference(resolution,[],[f577,f433]) ).
fof(f1066,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X2,X2)
| equidistant(X3,X3,extension(X4,X5,X6,extension(X7,X6,X0,X1)),X5) ),
inference(resolution,[],[f577,f321]) ).
fof(f1065,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ equidistant(X0,X1,X2,X2)
| extension(X3,X4,X5,extension(X6,X5,X0,X1)) = X4 ),
inference(resolution,[],[f577,f304]) ).
fof(f1064,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X2,X2)
| equidistant(extension(X3,X4,X5,extension(X6,X5,X0,X1)),X4,X7,X7) ),
inference(resolution,[],[f577,f278]) ).
fof(f577,plain,
! [X2,X3,X0,X1,X4,X5] :
( equidistant(X4,extension(X5,X4,X0,X1),X2,X3)
| ~ equidistant(X0,X1,X2,X3) ),
inference(resolution,[],[f74,f42]) ).
fof(f1021,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( equidistant(X0,extension(X1,X0,X2,extension(X3,X2,X4,X5)),X6,X6)
| ~ equidistant(X4,X5,X7,X7) ),
inference(resolution,[],[f515,f275]) ).
fof(f1020,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( equidistant(X0,extension(X1,X0,X2,extension(X3,X2,X4,X5)),X6,X6)
| ~ equidistant(X4,X5,X7,X7) ),
inference(resolution,[],[f515,f276]) ).
fof(f1019,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( equidistant(X0,extension(X1,X0,X2,extension(X3,X2,X4,X5)),X6,X6)
| ~ equidistant(X5,X4,X7,X7) ),
inference(resolution,[],[f515,f509]) ).
fof(f1011,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( equidistant(X0,extension(X1,X0,extension(X2,X3,X4,X5),X3),X6,X6)
| ~ equidistant(X4,X5,X7,X7) ),
inference(resolution,[],[f515,f400]) ).
fof(f1010,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( equidistant(X0,extension(X1,X0,extension(X2,X3,X4,X5),X3),X6,X6)
| ~ equidistant(X5,X4,X7,X7) ),
inference(resolution,[],[f515,f510]) ).
fof(f1009,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( equidistant(X0,extension(X1,X0,extension(X2,X3,X4,X5),X3),X6,X6)
| ~ equidistant(X5,X4,X7,X7) ),
inference(resolution,[],[f515,f511]) ).
fof(f515,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X2,X2)
| equidistant(X3,extension(X4,X3,X1,X0),X5,X5) ),
inference(resolution,[],[f51,f36]) ).
fof(f965,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( equidistant(X0,X0,X1,extension(X2,X1,X3,extension(X4,X3,X5,X6)))
| ~ equidistant(X5,X6,X7,X7) ),
inference(resolution,[],[f514,f275]) ).
fof(f964,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( equidistant(X0,X0,X1,extension(X2,X1,X3,extension(X4,X3,X5,X6)))
| ~ equidistant(X5,X6,X7,X7) ),
inference(resolution,[],[f514,f276]) ).
fof(f963,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( equidistant(X0,X0,X1,extension(X2,X1,X3,extension(X4,X3,X5,X6)))
| ~ equidistant(X6,X5,X7,X7) ),
inference(resolution,[],[f514,f509]) ).
fof(f955,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( equidistant(X0,X0,X1,extension(X2,X1,extension(X3,X4,X5,X6),X4))
| ~ equidistant(X5,X6,X7,X7) ),
inference(resolution,[],[f514,f400]) ).
fof(f954,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( equidistant(X0,X0,X1,extension(X2,X1,extension(X3,X4,X5,X6),X4))
| ~ equidistant(X6,X5,X7,X7) ),
inference(resolution,[],[f514,f510]) ).
fof(f953,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( equidistant(X0,X0,X1,extension(X2,X1,extension(X3,X4,X5,X6),X4))
| ~ equidistant(X6,X5,X7,X7) ),
inference(resolution,[],[f514,f511]) ).
fof(f514,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X2,X2)
| equidistant(X3,X3,X4,extension(X5,X4,X1,X0)) ),
inference(resolution,[],[f51,f308]) ).
fof(f948,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ between(X0,X1,X2)
| ~ between(X3,X1,X4)
| X1 = X3
| ~ between(X5,euclid1(X4,X3,X0,X2,X1),euclid2(X4,X3,X0,X2,X1))
| between(X5,euclid1(X4,X3,X0,X2,X1),X4) ),
inference(resolution,[],[f11,f2]) ).
fof(f947,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ between(X0,X1,X2)
| ~ between(X3,X1,X4)
| X1 = X3
| euclid1(X4,X3,X0,X2,X1) = X4
| ~ between(euclid1(X4,X3,X0,X2,X1),X4,X5)
| between(euclid1(X4,X3,X0,X2,X1),X5,euclid2(X4,X3,X0,X2,X1))
| between(euclid1(X4,X3,X0,X2,X1),euclid2(X4,X3,X0,X2,X1),X5) ),
inference(resolution,[],[f11,f3]) ).
fof(f11,axiom,
! [X2,X3,X0,X1,X5] :
( between(euclid1(X5,X0,X1,X3,X2),X5,euclid2(X5,X0,X1,X3,X2))
| ~ between(X1,X2,X3)
| ~ between(X0,X2,X5)
| X0 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',euclid3) ).
fof(f907,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( equidistant(X0,X0,extension(X1,X2,X3,extension(X4,X3,X5,X6)),X2)
| ~ equidistant(X5,X6,X7,X7) ),
inference(resolution,[],[f513,f275]) ).
fof(f906,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( equidistant(X0,X0,extension(X1,X2,X3,extension(X4,X3,X5,X6)),X2)
| ~ equidistant(X5,X6,X7,X7) ),
inference(resolution,[],[f513,f276]) ).
fof(f905,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( equidistant(X0,X0,extension(X1,X2,X3,extension(X4,X3,X5,X6)),X2)
| ~ equidistant(X6,X5,X7,X7) ),
inference(resolution,[],[f513,f509]) ).
fof(f897,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( equidistant(X0,X0,extension(X1,X2,extension(X3,X4,X5,X6),X4),X2)
| ~ equidistant(X5,X6,X7,X7) ),
inference(resolution,[],[f513,f400]) ).
fof(f896,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( equidistant(X0,X0,extension(X1,X2,extension(X3,X4,X5,X6),X4),X2)
| ~ equidistant(X6,X5,X7,X7) ),
inference(resolution,[],[f513,f510]) ).
fof(f895,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( equidistant(X0,X0,extension(X1,X2,extension(X3,X4,X5,X6),X4),X2)
| ~ equidistant(X6,X5,X7,X7) ),
inference(resolution,[],[f513,f511]) ).
fof(f513,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X2,X2)
| equidistant(X3,X3,extension(X4,X5,X1,X0),X5) ),
inference(resolution,[],[f51,f387]) ).
fof(f889,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(X4,extension(X5,X4,X1,X0),X6,X7)
| equidistant(X6,X7,X3,X2) ),
inference(resolution,[],[f511,f6]) ).
fof(f888,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X3,X2,extension(X4,X5,X1,X0),X5) ),
inference(resolution,[],[f511,f34]) ).
fof(f887,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X3,X2,X4,extension(X5,X4,X1,X0)) ),
inference(resolution,[],[f511,f42]) ).
fof(f883,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ equidistant(X0,X1,X2,X2)
| extension(X3,X4,X5,extension(X6,X5,X1,X0)) = X4 ),
inference(resolution,[],[f511,f304]) ).
fof(f882,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X2,X2)
| equidistant(extension(X3,X4,X5,extension(X6,X5,X1,X0)),X4,X7,X7) ),
inference(resolution,[],[f511,f278]) ).
fof(f881,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X2,X2)
| equidistant(X3,X3,extension(X4,X5,X6,extension(X7,X6,X1,X0)),X5) ),
inference(resolution,[],[f511,f321]) ).
fof(f880,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X2,X2)
| equidistant(X3,X3,X4,extension(X5,X4,X6,extension(X7,X6,X1,X0))) ),
inference(resolution,[],[f511,f433]) ).
fof(f879,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ equidistant(X0,X1,X2,X2)
| extension(X3,X4,extension(X5,X6,X1,X0),X6) = X4 ),
inference(resolution,[],[f511,f817]) ).
fof(f511,plain,
! [X2,X3,X0,X1,X4,X5] :
( equidistant(X4,extension(X5,X4,X1,X0),X3,X2)
| ~ equidistant(X0,X1,X2,X3) ),
inference(resolution,[],[f51,f34]) ).
fof(f875,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(X4,extension(X5,X4,X1,X0),X6,X7)
| equidistant(X6,X7,X2,X3) ),
inference(resolution,[],[f510,f6]) ).
fof(f872,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X3,X2,extension(X4,X5,X1,X0),X5) ),
inference(resolution,[],[f510,f381]) ).
fof(f871,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X3,X2,X4,extension(X5,X4,X1,X0)) ),
inference(resolution,[],[f510,f521]) ).
fof(f869,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ equidistant(X0,X1,X2,X2)
| extension(X3,X4,X5,extension(X6,X5,X1,X0)) = X4 ),
inference(resolution,[],[f510,f304]) ).
fof(f868,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X2,X2)
| equidistant(extension(X3,X4,X5,extension(X6,X5,X1,X0)),X4,X7,X7) ),
inference(resolution,[],[f510,f278]) ).
fof(f867,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X2,X2)
| equidistant(X3,X3,extension(X4,X5,X6,extension(X7,X6,X1,X0)),X5) ),
inference(resolution,[],[f510,f321]) ).
fof(f866,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X2,X2)
| equidistant(X3,X3,X4,extension(X5,X4,X6,extension(X7,X6,X1,X0))) ),
inference(resolution,[],[f510,f433]) ).
fof(f865,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ equidistant(X0,X1,X2,X2)
| extension(X3,X4,extension(X5,X6,X1,X0),X6) = X4 ),
inference(resolution,[],[f510,f817]) ).
fof(f510,plain,
! [X2,X3,X0,X1,X4,X5] :
( equidistant(X4,extension(X5,X4,X1,X0),X2,X3)
| ~ equidistant(X0,X1,X2,X3) ),
inference(resolution,[],[f51,f42]) ).
fof(f838,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( extension(X0,X1,X2,extension(X3,X2,X4,X5)) = X1
| ~ equidistant(X4,X5,X6,X6) ),
inference(resolution,[],[f817,f275]) ).
fof(f837,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( extension(X0,X1,X2,extension(X3,X2,X4,X5)) = X1
| ~ equidistant(X4,X5,X6,X6) ),
inference(resolution,[],[f817,f276]) ).
fof(f836,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( extension(X0,X1,X2,extension(X3,X2,X4,X5)) = X1
| ~ equidistant(X5,X4,X6,X6) ),
inference(resolution,[],[f817,f509]) ).
fof(f828,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( extension(X0,X1,extension(X2,X3,X4,X5),X3) = X1
| ~ equidistant(X4,X5,X6,X6) ),
inference(resolution,[],[f817,f400]) ).
fof(f817,plain,
! [X2,X3,X0,X1,X4] :
( ~ equidistant(X0,X1,X2,X2)
| extension(X3,X4,X1,X0) = X4 ),
inference(resolution,[],[f509,f5]) ).
fof(f822,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(extension(X4,X5,X1,X0),X5,X6,X7)
| equidistant(X6,X7,X3,X2) ),
inference(resolution,[],[f509,f6]) ).
fof(f816,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ equidistant(X0,X1,X2,X2)
| extension(X3,X4,extension(X5,X6,X1,X0),X6) = X4 ),
inference(resolution,[],[f509,f304]) ).
fof(f815,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X2,X2)
| equidistant(extension(X3,X4,extension(X5,X6,X1,X0),X6),X4,X7,X7) ),
inference(resolution,[],[f509,f278]) ).
fof(f814,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X2,X2)
| equidistant(X3,X3,extension(X4,X5,extension(X6,X7,X1,X0),X7),X5) ),
inference(resolution,[],[f509,f321]) ).
fof(f813,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X2,X2)
| equidistant(X3,X3,X4,extension(X5,X4,extension(X6,X7,X1,X0),X7)) ),
inference(resolution,[],[f509,f433]) ).
fof(f509,plain,
! [X2,X3,X0,X1,X4,X5] :
( equidistant(extension(X4,X5,X1,X0),X5,X3,X2)
| ~ equidistant(X0,X1,X2,X3) ),
inference(resolution,[],[f51,f381]) ).
fof(f771,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( equidistant(X0,X0,X1,extension(X2,X1,extension(X3,X4,X5,X6),X4))
| ~ equidistant(X5,X6,X7,X7) ),
inference(resolution,[],[f433,f275]) ).
fof(f770,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( equidistant(X0,X0,X1,extension(X2,X1,extension(X3,X4,X5,X6),X4))
| ~ equidistant(X5,X6,X7,X7) ),
inference(resolution,[],[f433,f276]) ).
fof(f762,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( equidistant(X0,X0,X1,extension(X2,X1,X3,extension(X4,X3,X5,X6)))
| ~ equidistant(X5,X6,X7,X7) ),
inference(resolution,[],[f433,f400]) ).
fof(f433,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X3,X4,X5,X5)
| equidistant(X0,X0,X1,extension(X2,X1,X3,X4)) ),
inference(resolution,[],[f387,f44]) ).
fof(f756,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(X4,extension(X5,X4,X0,X1),X6,X7)
| equidistant(X6,X7,X3,X2) ),
inference(resolution,[],[f400,f6]) ).
fof(f750,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ equidistant(X0,X1,X2,X2)
| extension(X3,X4,X5,extension(X6,X5,X0,X1)) = X4 ),
inference(resolution,[],[f400,f304]) ).
fof(f749,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X2,X2)
| equidistant(extension(X3,X4,X5,extension(X6,X5,X0,X1)),X4,X7,X7) ),
inference(resolution,[],[f400,f278]) ).
fof(f748,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X2,X2)
| equidistant(X3,X3,extension(X4,X5,X6,extension(X7,X6,X0,X1)),X5) ),
inference(resolution,[],[f400,f321]) ).
fof(f400,plain,
! [X2,X3,X0,X1,X4,X5] :
( equidistant(X0,extension(X1,X0,X2,X3),X4,X5)
| ~ equidistant(X2,X3,X5,X4) ),
inference(resolution,[],[f381,f44]) ).
fof(f706,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( equidistant(X0,X0,extension(X1,X2,extension(X3,X4,X5,X6),X4),X2)
| ~ equidistant(X5,X6,X7,X7) ),
inference(resolution,[],[f321,f275]) ).
fof(f705,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( equidistant(X0,X0,extension(X1,X2,extension(X3,X4,X5,X6),X4),X2)
| ~ equidistant(X5,X6,X7,X7) ),
inference(resolution,[],[f321,f276]) ).
fof(f321,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X3,X4,X5,X5)
| equidistant(X0,X0,extension(X1,X2,X3,X4),X2) ),
inference(resolution,[],[f308,f44]) ).
fof(f692,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : equidistant(extension(X0,X1,extension(X2,X3,extension(X4,X5,X6,X7),X5),X3),X1,X7,X6),
inference(resolution,[],[f87,f223]) ).
fof(f691,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : equidistant(extension(X0,X1,extension(X2,X3,X4,extension(X5,X4,X6,X7)),X3),X1,X7,X6),
inference(resolution,[],[f87,f148]) ).
fof(f690,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( equidistant(extension(X0,X1,X2,X3),X1,X4,X5)
| ~ equidistant(X2,X3,X6,extension(X7,X6,X5,X4)) ),
inference(resolution,[],[f87,f44]) ).
fof(f689,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( equidistant(extension(X0,X1,X2,X3),X1,X4,X5)
| ~ equidistant(X3,X2,X6,extension(X7,X6,X5,X4)) ),
inference(resolution,[],[f87,f80]) ).
fof(f688,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( equidistant(extension(X0,X1,X2,X3),X1,X4,X5)
| ~ equidistant(X2,X3,extension(X6,X7,X5,X4),X7) ),
inference(resolution,[],[f87,f384]) ).
fof(f687,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : equidistant(extension(X0,X1,X2,extension(X3,X2,extension(X4,X5,X6,X7),X5)),X1,X7,X6),
inference(resolution,[],[f87,f169]) ).
fof(f686,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : equidistant(extension(X0,X1,X2,extension(X3,X2,X4,extension(X5,X4,X6,X7))),X1,X7,X6),
inference(resolution,[],[f87,f118]) ).
fof(f683,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : equidistant(X0,extension(X1,X0,extension(X2,X3,extension(X4,X5,X6,X7),X5),X3),X7,X6),
inference(resolution,[],[f87,f222]) ).
fof(f682,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : equidistant(X0,extension(X1,X0,extension(X2,X3,X4,extension(X5,X4,X6,X7)),X3),X7,X6),
inference(resolution,[],[f87,f147]) ).
fof(f681,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( equidistant(X0,extension(X1,X0,X2,X3),X4,X5)
| ~ equidistant(X3,X2,X6,extension(X7,X6,X5,X4)) ),
inference(resolution,[],[f87,f51]) ).
fof(f680,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( equidistant(X0,extension(X1,X0,X2,X3),X4,X5)
| ~ equidistant(X2,X3,X6,extension(X7,X6,X5,X4)) ),
inference(resolution,[],[f87,f74]) ).
fof(f679,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( equidistant(X0,extension(X1,X0,X2,X3),X4,X5)
| ~ equidistant(X2,X3,extension(X6,X7,X5,X4),X7) ),
inference(resolution,[],[f87,f385]) ).
fof(f678,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : equidistant(X0,extension(X1,X0,X2,extension(X3,X2,extension(X4,X5,X6,X7),X5)),X7,X6),
inference(resolution,[],[f87,f170]) ).
fof(f677,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : equidistant(X0,extension(X1,X0,X2,extension(X3,X2,X4,extension(X5,X4,X6,X7))),X7,X6),
inference(resolution,[],[f87,f119]) ).
fof(f87,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,extension(X1,X0,X2,X3),X4,X5)
| equidistant(X4,X5,X3,X2) ),
inference(resolution,[],[f62,f6]) ).
fof(f666,plain,
( ! [X2,X0,X1] :
( ~ between(lower_dimension_point_3,X0,X1)
| ~ between(lower_dimension_point_1,X0,X2)
| lower_dimension_point_1 = X0
| between(lower_dimension_point_1,lower_dimension_point_2,euclid2(X2,lower_dimension_point_1,lower_dimension_point_3,X1,X0))
| between(lower_dimension_point_1,euclid2(X2,lower_dimension_point_1,lower_dimension_point_3,X1,X0),lower_dimension_point_2) )
| ~ spl0_3 ),
inference(resolution,[],[f10,f261]) ).
fof(f665,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ between(X0,X1,X2)
| ~ between(X3,X1,X4)
| X1 = X3
| ~ between(X5,X3,euclid2(X4,X3,X0,X2,X1))
| between(X5,X3,X0) ),
inference(resolution,[],[f10,f2]) ).
fof(f664,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ between(X0,X1,X2)
| ~ between(X3,X1,X4)
| X1 = X3
| X0 = X3
| ~ between(X3,X0,X5)
| between(X3,X5,euclid2(X4,X3,X0,X2,X1))
| between(X3,euclid2(X4,X3,X0,X2,X1),X5) ),
inference(resolution,[],[f10,f3]) ).
fof(f10,axiom,
! [X2,X3,X0,X1,X5] :
( between(X0,X1,euclid2(X5,X0,X1,X3,X2))
| ~ between(X1,X2,X3)
| ~ between(X0,X2,X5)
| X0 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',euclid2) ).
fof(f662,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X2,extension(X3,X2,X4,X5))
| equidistant(X6,extension(X7,X6,X0,X1),X5,X4) ),
inference(resolution,[],[f385,f48]) ).
fof(f661,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X2,extension(X3,X2,X4,X5))
| equidistant(X6,extension(X7,X6,X0,X1),X4,X5) ),
inference(resolution,[],[f385,f70]) ).
fof(f660,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,extension(X2,X3,X4,X5),X3)
| equidistant(X6,extension(X7,X6,X0,X1),X4,X5) ),
inference(resolution,[],[f385,f35]) ).
fof(f659,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X2,X2)
| equidistant(X3,extension(X4,X3,X0,X1),X5,X5) ),
inference(resolution,[],[f385,f36]) ).
fof(f658,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X2,X2)
| equidistant(X3,X3,X4,extension(X5,X4,X0,X1)) ),
inference(resolution,[],[f385,f308]) ).
fof(f657,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X2,X2)
| equidistant(X3,X3,extension(X4,X5,X0,X1),X5) ),
inference(resolution,[],[f385,f387]) ).
fof(f655,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(X3,X2,X4,X5)
| equidistant(X4,X5,X6,extension(X7,X6,X0,X1)) ),
inference(resolution,[],[f385,f6]) ).
fof(f654,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X4,extension(X5,X4,X0,X1),X2,X3) ),
inference(resolution,[],[f385,f34]) ).
fof(f653,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X4,extension(X5,X4,X0,X1),X3,X2) ),
inference(resolution,[],[f385,f42]) ).
fof(f385,plain,
! [X2,X3,X0,X1,X4,X5] :
( equidistant(X3,X2,X4,extension(X5,X4,X0,X1))
| ~ equidistant(X0,X1,X2,X3) ),
inference(resolution,[],[f276,f34]) ).
fof(f627,plain,
! [X2,X3,X0,X1,X4,X5] :
( equidistant(X0,extension(X1,X0,X2,X3),X4,X4)
| ~ equidistant(X2,X3,X5,X5) ),
inference(resolution,[],[f610,f44]) ).
fof(f626,plain,
! [X2,X3,X0,X1,X4,X5] :
( equidistant(X0,extension(X1,X0,X2,X3),X4,X4)
| ~ equidistant(X3,X2,X5,X5) ),
inference(resolution,[],[f610,f80]) ).
fof(f625,plain,
! [X2,X3,X0,X1,X4,X5] :
( equidistant(X0,extension(X1,X0,X2,X3),X4,X4)
| ~ equidistant(X2,X3,X5,X5) ),
inference(resolution,[],[f610,f384]) ).
fof(f618,plain,
! [X2,X3,X0,X1,X4,X5] :
( equidistant(extension(X0,X1,X2,X3),X1,X4,X4)
| ~ equidistant(X3,X2,X5,X5) ),
inference(resolution,[],[f610,f51]) ).
fof(f610,plain,
! [X2,X3,X1,X4] :
( ~ equidistant(X2,X2,X4,X3)
| equidistant(X3,X4,X1,X1) ),
inference(superposition,[],[f384,f27]) ).
fof(f609,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X2,extension(X3,X2,X4,X5))
| equidistant(extension(X6,X7,X0,X1),X7,X5,X4) ),
inference(resolution,[],[f384,f48]) ).
fof(f608,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X2,extension(X3,X2,X4,X5))
| equidistant(extension(X6,X7,X0,X1),X7,X4,X5) ),
inference(resolution,[],[f384,f70]) ).
fof(f607,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,extension(X2,X3,X4,X5),X3)
| equidistant(extension(X6,X7,X0,X1),X7,X4,X5) ),
inference(resolution,[],[f384,f35]) ).
fof(f605,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X2,X2)
| equidistant(X3,X3,extension(X4,X5,X0,X1),X5) ),
inference(resolution,[],[f384,f308]) ).
fof(f604,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X2,X2)
| equidistant(X3,X3,X4,extension(X5,X4,X0,X1)) ),
inference(resolution,[],[f384,f387]) ).
fof(f603,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(X3,X2,X4,X5)
| equidistant(X4,X5,extension(X6,X7,X0,X1),X7) ),
inference(resolution,[],[f384,f6]) ).
fof(f600,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X4,extension(X5,X4,X0,X1),X2,X3) ),
inference(resolution,[],[f384,f381]) ).
fof(f599,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X4,extension(X5,X4,X0,X1),X3,X2) ),
inference(resolution,[],[f384,f521]) ).
fof(f384,plain,
! [X2,X3,X0,X1,X4,X5] :
( equidistant(X3,X2,extension(X4,X5,X0,X1),X5)
| ~ equidistant(X0,X1,X2,X3) ),
inference(resolution,[],[f276,f42]) ).
fof(f597,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,extension(X2,X3,X4,X5),X3)
| equidistant(extension(X6,X7,X1,X0),X7,X5,X4) ),
inference(resolution,[],[f80,f48]) ).
fof(f596,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,extension(X2,X3,X4,X5),X3)
| equidistant(extension(X6,X7,X1,X0),X7,X4,X5) ),
inference(resolution,[],[f80,f70]) ).
fof(f595,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X2,extension(X3,X2,X4,X5))
| equidistant(extension(X6,X7,X1,X0),X7,X4,X5) ),
inference(resolution,[],[f80,f35]) ).
fof(f593,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X2,X2)
| equidistant(X3,X3,extension(X4,X5,X1,X0),X5) ),
inference(resolution,[],[f80,f308]) ).
fof(f592,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X2,X2)
| equidistant(X3,X3,X4,extension(X5,X4,X1,X0)) ),
inference(resolution,[],[f80,f387]) ).
fof(f591,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(X2,X3,X4,X5)
| equidistant(X4,X5,extension(X6,X7,X1,X0),X7) ),
inference(resolution,[],[f80,f6]) ).
fof(f590,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(extension(X4,X5,X1,X0),X5,X3,X2) ),
inference(resolution,[],[f80,f34]) ).
fof(f588,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X4,extension(X5,X4,X1,X0),X3,X2) ),
inference(resolution,[],[f80,f381]) ).
fof(f587,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X4,extension(X5,X4,X1,X0),X2,X3) ),
inference(resolution,[],[f80,f521]) ).
fof(f80,plain,
! [X2,X3,X0,X1,X4,X5] :
( equidistant(X2,X3,extension(X4,X5,X1,X0),X5)
| ~ equidistant(X0,X1,X2,X3) ),
inference(resolution,[],[f66,f6]) ).
fof(f585,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,extension(X2,X3,X4,X5),X3)
| equidistant(X6,extension(X7,X6,X0,X1),X5,X4) ),
inference(resolution,[],[f74,f48]) ).
fof(f584,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,extension(X2,X3,X4,X5),X3)
| equidistant(X6,extension(X7,X6,X0,X1),X4,X5) ),
inference(resolution,[],[f74,f70]) ).
fof(f583,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X2,extension(X3,X2,X4,X5))
| equidistant(X6,extension(X7,X6,X0,X1),X4,X5) ),
inference(resolution,[],[f74,f35]) ).
fof(f581,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X2,X2)
| equidistant(X3,X3,X4,extension(X5,X4,X0,X1)) ),
inference(resolution,[],[f74,f308]) ).
fof(f580,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X2,X2)
| equidistant(X3,X3,extension(X4,X5,X0,X1),X5) ),
inference(resolution,[],[f74,f387]) ).
fof(f579,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(X2,X3,X4,X5)
| equidistant(X4,X5,X6,extension(X7,X6,X0,X1)) ),
inference(resolution,[],[f74,f6]) ).
fof(f578,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X4,extension(X5,X4,X0,X1),X3,X2) ),
inference(resolution,[],[f74,f34]) ).
fof(f74,plain,
! [X2,X3,X0,X1,X4,X5] :
( equidistant(X2,X3,X4,extension(X5,X4,X0,X1))
| ~ equidistant(X0,X1,X2,X3) ),
inference(resolution,[],[f64,f6]) ).
fof(f570,plain,
! [X2,X3,X0,X1,X4,X5] :
( equidistant(X0,X1,extension(X2,X3,X4,X5),X3)
| ~ equidistant(X4,X5,X1,X0) ),
inference(resolution,[],[f521,f275]) ).
fof(f557,plain,
! [X2,X3,X0,X1,X4,X5] :
( equidistant(X0,extension(X1,X0,X2,X3),X4,X5)
| ~ equidistant(X2,X3,X4,X5) ),
inference(resolution,[],[f521,f44]) ).
fof(f550,plain,
! [X2,X3,X0,X1,X4,X5] :
( equidistant(extension(X0,X1,X2,X3),X1,X4,X5)
| ~ equidistant(X3,X2,X4,X5) ),
inference(resolution,[],[f521,f51]) ).
fof(f521,plain,
! [X2,X3,X0,X1] :
( ~ equidistant(X2,X3,X1,X0)
| equidistant(X0,X1,X2,X3) ),
inference(resolution,[],[f70,f276]) ).
fof(f542,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : equidistant(extension(X0,X1,extension(X2,X3,X4,extension(X5,X4,X6,X7)),X3),X1,X6,X7),
inference(resolution,[],[f70,f223]) ).
fof(f541,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : equidistant(extension(X0,X1,extension(X2,X3,extension(X4,X5,X6,X7),X5),X3),X1,X6,X7),
inference(resolution,[],[f70,f148]) ).
fof(f540,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( equidistant(extension(X0,X1,X2,X3),X1,X4,X5)
| ~ equidistant(X2,X3,extension(X6,X7,X4,X5),X7) ),
inference(resolution,[],[f70,f44]) ).
fof(f539,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : equidistant(extension(X0,X1,X2,extension(X3,X2,X4,extension(X5,X4,X6,X7))),X1,X6,X7),
inference(resolution,[],[f70,f169]) ).
fof(f538,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : equidistant(extension(X0,X1,X2,extension(X3,X2,extension(X4,X5,X6,X7),X5)),X1,X6,X7),
inference(resolution,[],[f70,f118]) ).
fof(f535,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : equidistant(X0,extension(X1,X0,extension(X2,X3,X4,extension(X5,X4,X6,X7)),X3),X6,X7),
inference(resolution,[],[f70,f222]) ).
fof(f534,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : equidistant(X0,extension(X1,X0,extension(X2,X3,extension(X4,X5,X6,X7),X5),X3),X6,X7),
inference(resolution,[],[f70,f147]) ).
fof(f533,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( equidistant(X0,extension(X1,X0,X2,X3),X4,X5)
| ~ equidistant(X3,X2,extension(X6,X7,X4,X5),X7) ),
inference(resolution,[],[f70,f51]) ).
fof(f532,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : equidistant(X0,extension(X1,X0,X2,extension(X3,X2,X4,extension(X5,X4,X6,X7))),X6,X7),
inference(resolution,[],[f70,f170]) ).
fof(f531,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : equidistant(X0,extension(X1,X0,X2,extension(X3,X2,extension(X4,X5,X6,X7),X5)),X6,X7),
inference(resolution,[],[f70,f119]) ).
fof(f70,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(extension(X0,X1,X2,X3),X1,X4,X5)
| equidistant(X4,X5,X2,X3) ),
inference(resolution,[],[f63,f6]) ).
fof(f517,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,extension(X2,X3,X4,X5),X3)
| equidistant(X6,extension(X7,X6,X1,X0),X5,X4) ),
inference(resolution,[],[f51,f48]) ).
fof(f516,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X2,extension(X3,X2,X4,X5))
| equidistant(X6,extension(X7,X6,X1,X0),X4,X5) ),
inference(resolution,[],[f51,f35]) ).
fof(f512,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(X2,X3,X4,X5)
| equidistant(X4,X5,X6,extension(X7,X6,X1,X0)) ),
inference(resolution,[],[f51,f6]) ).
fof(f51,plain,
! [X2,X3,X0,X1,X4,X5] :
( equidistant(X2,X3,X4,extension(X5,X4,X1,X0))
| ~ equidistant(X0,X1,X2,X3) ),
inference(resolution,[],[f47,f6]) ).
fof(f469,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( equidistant(extension(X0,X1,extension(X2,X3,X4,X5),X3),X1,X6,X6)
| ~ equidistant(X4,X5,X7,X7) ),
inference(resolution,[],[f278,f275]) ).
fof(f468,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( equidistant(extension(X0,X1,extension(X2,X3,X4,X5),X3),X1,X6,X6)
| ~ equidistant(X4,X5,X7,X7) ),
inference(resolution,[],[f278,f276]) ).
fof(f278,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X2,X2)
| equidistant(extension(X3,X4,X0,X1),X4,X5,X5) ),
inference(resolution,[],[f44,f36]) ).
fof(f387,plain,
! [X2,X3,X1,X4] :
( ~ equidistant(X2,X2,X4,X3)
| equidistant(X1,X1,X3,X4) ),
inference(superposition,[],[f276,f27]) ).
fof(f420,plain,
( ! [X2,X0,X1] :
( ~ between(X0,X1,lower_dimension_point_3)
| ~ between(lower_dimension_point_1,X1,X2)
| lower_dimension_point_1 = X1
| between(lower_dimension_point_1,lower_dimension_point_2,euclid1(X2,lower_dimension_point_1,X0,lower_dimension_point_3,X1))
| between(lower_dimension_point_1,euclid1(X2,lower_dimension_point_1,X0,lower_dimension_point_3,X1),lower_dimension_point_2) )
| ~ spl0_3 ),
inference(resolution,[],[f9,f261]) ).
fof(f419,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ between(X0,X1,X2)
| ~ between(X3,X1,X4)
| X1 = X3
| ~ between(X5,X3,euclid1(X4,X3,X0,X2,X1))
| between(X5,X3,X2) ),
inference(resolution,[],[f9,f2]) ).
fof(f418,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ between(X0,X1,X2)
| ~ between(X3,X1,X4)
| X1 = X3
| X2 = X3
| ~ between(X3,X2,X5)
| between(X3,X5,euclid1(X4,X3,X0,X2,X1))
| between(X3,euclid1(X4,X3,X0,X2,X1),X5) ),
inference(resolution,[],[f9,f3]) ).
fof(f9,axiom,
! [X2,X3,X0,X1,X5] :
( between(X0,X3,euclid1(X5,X0,X1,X3,X2))
| ~ between(X1,X2,X3)
| ~ between(X0,X2,X5)
| X0 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',euclid1) ).
fof(f413,plain,
! [X2,X3,X0,X1,X4,X5] :
( equidistant(X0,X1,X2,extension(X3,X2,X4,X5))
| ~ equidistant(X4,X5,X1,X0) ),
inference(resolution,[],[f381,f275]) ).
fof(f412,plain,
! [X2,X3,X0,X1,X4,X5] :
( equidistant(X0,X1,X2,extension(X3,X2,X4,X5))
| ~ equidistant(X4,X5,X0,X1) ),
inference(resolution,[],[f381,f276]) ).
fof(f381,plain,
! [X2,X3,X0,X1] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X3,X2,X1,X0) ),
inference(resolution,[],[f276,f48]) ).
fof(f386,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(extension(X4,X5,X0,X1),X5,X6,X7)
| equidistant(X6,X7,X3,X2) ),
inference(resolution,[],[f276,f6]) ).
fof(f382,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ equidistant(X0,X1,X2,X2)
| extension(X3,X4,extension(X5,X6,X0,X1),X6) = X4 ),
inference(resolution,[],[f276,f304]) ).
fof(f276,plain,
! [X2,X3,X0,X1,X4,X5] :
( equidistant(extension(X4,X5,X0,X1),X5,X3,X2)
| ~ equidistant(X0,X1,X2,X3) ),
inference(resolution,[],[f44,f34]) ).
fof(f356,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( extension(X0,X1,extension(X2,X3,X4,X5),X3) = X1
| ~ equidistant(X4,X5,X6,X6) ),
inference(resolution,[],[f304,f275]) ).
fof(f304,plain,
! [X2,X3,X0,X1,X4] :
( ~ equidistant(X0,X1,X2,X2)
| extension(X3,X4,X0,X1) = X4 ),
inference(resolution,[],[f275,f5]) ).
fof(f308,plain,
! [X2,X3,X1,X4] :
( ~ equidistant(X2,X2,X3,X4)
| equidistant(X1,X1,X3,X4) ),
inference(superposition,[],[f275,f27]) ).
fof(f307,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(extension(X4,X5,X0,X1),X5,X6,X7)
| equidistant(X6,X7,X2,X3) ),
inference(resolution,[],[f275,f6]) ).
fof(f306,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,X4,extension(X5,X4,X0,X1)) ),
inference(resolution,[],[f275,f34]) ).
fof(f275,plain,
! [X2,X3,X0,X1,X4,X5] :
( equidistant(extension(X4,X5,X0,X1),X5,X2,X3)
| ~ equidistant(X0,X1,X2,X3) ),
inference(resolution,[],[f44,f42]) ).
fof(f301,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : equidistant(extension(X0,X1,extension(X2,X3,X4,extension(X5,X4,X6,X7)),X3),X1,X7,X6),
inference(resolution,[],[f48,f223]) ).
fof(f300,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : equidistant(extension(X0,X1,extension(X2,X3,extension(X4,X5,X6,X7),X5),X3),X1,X7,X6),
inference(resolution,[],[f48,f148]) ).
fof(f299,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( equidistant(extension(X0,X1,X2,X3),X1,X4,X5)
| ~ equidistant(X2,X3,extension(X6,X7,X5,X4),X7) ),
inference(resolution,[],[f48,f44]) ).
fof(f298,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : equidistant(extension(X0,X1,X2,extension(X3,X2,X4,extension(X5,X4,X6,X7))),X1,X7,X6),
inference(resolution,[],[f48,f169]) ).
fof(f297,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : equidistant(extension(X0,X1,X2,extension(X3,X2,extension(X4,X5,X6,X7),X5)),X1,X7,X6),
inference(resolution,[],[f48,f118]) ).
fof(f294,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : equidistant(X0,extension(X1,X0,extension(X2,X3,X4,extension(X5,X4,X6,X7)),X3),X7,X6),
inference(resolution,[],[f48,f222]) ).
fof(f293,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : equidistant(X0,extension(X1,X0,extension(X2,X3,extension(X4,X5,X6,X7),X5),X3),X7,X6),
inference(resolution,[],[f48,f147]) ).
fof(f292,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : equidistant(X0,extension(X1,X0,X2,extension(X3,X2,X4,extension(X5,X4,X6,X7))),X7,X6),
inference(resolution,[],[f48,f170]) ).
fof(f291,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : equidistant(X0,extension(X1,X0,X2,extension(X3,X2,extension(X4,X5,X6,X7),X5)),X7,X6),
inference(resolution,[],[f48,f119]) ).
fof(f48,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(extension(X0,X1,X2,X3),X1,X4,X5)
| equidistant(X4,X5,X3,X2) ),
inference(resolution,[],[f43,f6]) ).
fof(f279,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X2,extension(X3,X2,X4,X5))
| equidistant(extension(X6,X7,X0,X1),X7,X4,X5) ),
inference(resolution,[],[f44,f35]) ).
fof(f277,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(X2,X3,X4,X5)
| equidistant(X4,X5,extension(X6,X7,X0,X1),X7) ),
inference(resolution,[],[f44,f6]) ).
fof(f44,plain,
! [X2,X3,X0,X1,X4,X5] :
( equidistant(X2,X3,extension(X4,X5,X0,X1),X5)
| ~ equidistant(X0,X1,X2,X3) ),
inference(resolution,[],[f38,f6]) ).
fof(f272,plain,
( ! [X2,X0,X1] :
( between(lower_dimension_point_1,lower_dimension_point_2,extension(lower_dimension_point_1,lower_dimension_point_3,X0,X1))
| lower_dimension_point_1 = extension(lower_dimension_point_1,lower_dimension_point_3,X0,X1)
| ~ between(lower_dimension_point_1,extension(lower_dimension_point_1,lower_dimension_point_3,X0,X1),X2)
| between(lower_dimension_point_1,X2,lower_dimension_point_2)
| between(lower_dimension_point_1,lower_dimension_point_2,X2) )
| ~ spl0_3 ),
inference(resolution,[],[f268,f3]) ).
fof(f268,plain,
( ! [X0,X1] :
( between(lower_dimension_point_1,extension(lower_dimension_point_1,lower_dimension_point_3,X0,X1),lower_dimension_point_2)
| between(lower_dimension_point_1,lower_dimension_point_2,extension(lower_dimension_point_1,lower_dimension_point_3,X0,X1)) )
| ~ spl0_3 ),
inference(resolution,[],[f261,f13]) ).
fof(f270,plain,
( ! [X2,X0,X1] :
( between(lower_dimension_point_1,lower_dimension_point_2,outer_pasch(lower_dimension_point_3,X0,X1,lower_dimension_point_1,X2))
| between(lower_dimension_point_1,outer_pasch(lower_dimension_point_3,X0,X1,lower_dimension_point_1,X2),lower_dimension_point_2)
| ~ between(X1,X2,lower_dimension_point_1)
| ~ between(X0,lower_dimension_point_3,X2) )
| ~ spl0_3 ),
inference(resolution,[],[f261,f8]) ).
fof(f261,plain,
( ! [X0] :
( ~ between(lower_dimension_point_1,lower_dimension_point_3,X0)
| between(lower_dimension_point_1,lower_dimension_point_2,X0)
| between(lower_dimension_point_1,X0,lower_dimension_point_2) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f260,plain,
( spl0_3
<=> ! [X0] :
( ~ between(lower_dimension_point_1,lower_dimension_point_3,X0)
| between(lower_dimension_point_1,lower_dimension_point_2,X0)
| between(lower_dimension_point_1,X0,lower_dimension_point_2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f257,plain,
! [X2,X3,X0,X1,X4,X5] :
( outer_pasch(X1,X0,X2,X3,X4) = X0
| ~ between(X0,outer_pasch(X1,X0,X2,X3,X4),X5)
| between(X0,X5,X2)
| between(X0,X2,X5)
| ~ between(X2,X4,X3)
| ~ between(X0,X1,X4) ),
inference(resolution,[],[f3,f7]) ).
fof(f255,plain,
! [X2,X3,X0,X1,X4,X5] :
( X0 = X1
| ~ between(X0,X1,X2)
| between(X0,X2,outer_pasch(X1,X3,X4,X0,X5))
| between(X0,outer_pasch(X1,X3,X4,X0,X5),X2)
| ~ between(X4,X5,X0)
| ~ between(X3,X1,X5) ),
inference(resolution,[],[f3,f8]) ).
fof(f253,plain,
! [X2,X3,X0,X1,X4] :
( X0 = X1
| ~ between(X0,X1,X2)
| between(X0,X2,extension(X0,X1,X3,X4))
| between(X0,extension(X0,X1,X3,X4),X2) ),
inference(resolution,[],[f3,f13]) ).
fof(f3,axiom,
! [X2,X3,X0,X1] :
( ~ between(X0,X1,X3)
| X0 = X1
| ~ between(X0,X1,X2)
| between(X0,X2,X3)
| between(X0,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',connectivity_for_betweeness) ).
fof(f248,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : equidistant(extension(X0,X1,extension(X2,X3,extension(X4,X5,X6,X7),X5),X3),X1,X6,X7),
inference(resolution,[],[f223,f35]) ).
fof(f246,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,extension(X4,X5,extension(X6,X7,X1,X0),X7),X5) ),
inference(resolution,[],[f223,f6]) ).
fof(f223,plain,
! [X2,X3,X0,X1,X4,X5] : equidistant(X0,X1,extension(X2,X3,extension(X4,X5,X1,X0),X5),X3),
inference(resolution,[],[f184,f34]) ).
fof(f239,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : equidistant(X0,extension(X1,X0,extension(X2,X3,extension(X4,X5,X6,X7),X5),X3),X6,X7),
inference(resolution,[],[f222,f35]) ).
fof(f237,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,X4,extension(X5,X4,extension(X6,X7,X1,X0),X7)) ),
inference(resolution,[],[f222,f6]) ).
fof(f222,plain,
! [X2,X3,X0,X1,X4,X5] : equidistant(X0,X1,X2,extension(X3,X2,extension(X4,X5,X1,X0),X5)),
inference(resolution,[],[f184,f42]) ).
fof(f231,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(extension(X0,X1,extension(X2,X3,X4,X5),X3),X1,X6,X7)
| equidistant(X6,X7,X5,X4) ),
inference(resolution,[],[f193,f6]) ).
fof(f230,plain,
! [X2,X3,X0,X1,X4,X5] : equidistant(X0,X1,X2,extension(X3,X2,extension(X4,X5,X1,X0),X5)),
inference(resolution,[],[f193,f34]) ).
fof(f229,plain,
! [X2,X3,X0,X1,X4,X5] : equidistant(X0,X1,extension(X2,X3,extension(X4,X5,X1,X0),X5),X3),
inference(resolution,[],[f193,f42]) ).
fof(f193,plain,
! [X2,X3,X0,X1,X4,X5] : equidistant(extension(X0,X1,extension(X2,X3,X4,X5),X3),X1,X5,X4),
inference(resolution,[],[f148,f34]) ).
fof(f224,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,extension(X1,X0,extension(X2,X3,X4,X5),X3),X6,X7)
| equidistant(X6,X7,X5,X4) ),
inference(resolution,[],[f184,f6]) ).
fof(f184,plain,
! [X2,X3,X0,X1,X4,X5] : equidistant(X0,extension(X1,X0,extension(X2,X3,X4,X5),X3),X5,X4),
inference(resolution,[],[f147,f34]) ).
fof(f215,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : equidistant(X0,extension(X1,X0,X2,extension(X3,X2,extension(X4,X5,X6,X7),X5)),X6,X7),
inference(resolution,[],[f170,f35]) ).
fof(f213,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,X4,extension(X5,X4,X6,extension(X7,X6,X1,X0))) ),
inference(resolution,[],[f170,f6]) ).
fof(f170,plain,
! [X2,X3,X0,X1,X4,X5] : equidistant(X0,X1,X2,extension(X3,X2,X4,extension(X5,X4,X1,X0))),
inference(resolution,[],[f128,f34]) ).
fof(f206,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : equidistant(extension(X0,X1,X2,extension(X3,X2,extension(X4,X5,X6,X7),X5)),X1,X6,X7),
inference(resolution,[],[f169,f35]) ).
fof(f204,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,extension(X4,X5,X6,extension(X7,X6,X1,X0)),X5) ),
inference(resolution,[],[f169,f6]) ).
fof(f169,plain,
! [X2,X3,X0,X1,X4,X5] : equidistant(X0,X1,extension(X2,X3,X4,extension(X5,X4,X1,X0)),X3),
inference(resolution,[],[f128,f42]) ).
fof(f201,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ between(X0,X1,X2)
| ~ between(X3,X4,X1)
| ~ between(X5,X2,outer_pasch(X4,X3,X0,X2,X1))
| between(X5,X2,X4) ),
inference(resolution,[],[f8,f2]) ).
fof(f196,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : equidistant(extension(X0,X1,extension(X2,X3,X4,extension(X5,X4,X6,X7)),X3),X1,X6,X7),
inference(resolution,[],[f148,f35]) ).
fof(f194,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,extension(X4,X5,extension(X6,X7,X0,X1),X7),X5) ),
inference(resolution,[],[f148,f6]) ).
fof(f148,plain,
! [X2,X3,X0,X1,X4,X5] : equidistant(X0,X1,extension(X2,X3,extension(X4,X5,X0,X1),X5),X3),
inference(resolution,[],[f112,f34]) ).
fof(f187,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : equidistant(X0,extension(X1,X0,extension(X2,X3,X4,extension(X5,X4,X6,X7)),X3),X6,X7),
inference(resolution,[],[f147,f35]) ).
fof(f185,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,X4,extension(X5,X4,extension(X6,X7,X0,X1),X7)) ),
inference(resolution,[],[f147,f6]) ).
fof(f147,plain,
! [X2,X3,X0,X1,X4,X5] : equidistant(X0,X1,X2,extension(X3,X2,extension(X4,X5,X0,X1),X5)),
inference(resolution,[],[f112,f42]) ).
fof(f179,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,extension(X1,X0,X2,extension(X3,X2,X4,X5)),X6,X7)
| equidistant(X6,X7,X5,X4) ),
inference(resolution,[],[f137,f6]) ).
fof(f178,plain,
! [X2,X3,X0,X1,X4,X5] : equidistant(X0,X1,extension(X2,X3,X4,extension(X5,X4,X1,X0)),X3),
inference(resolution,[],[f137,f34]) ).
fof(f177,plain,
! [X2,X3,X0,X1,X4,X5] : equidistant(X0,X1,X2,extension(X3,X2,X4,extension(X5,X4,X1,X0))),
inference(resolution,[],[f137,f42]) ).
fof(f137,plain,
! [X2,X3,X0,X1,X4,X5] : equidistant(X0,extension(X1,X0,X2,extension(X3,X2,X4,X5)),X5,X4),
inference(resolution,[],[f119,f34]) ).
fof(f171,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(extension(X0,X1,X2,extension(X3,X2,X4,X5)),X1,X6,X7)
| equidistant(X6,X7,X5,X4) ),
inference(resolution,[],[f128,f6]) ).
fof(f128,plain,
! [X2,X3,X0,X1,X4,X5] : equidistant(extension(X0,X1,X2,extension(X3,X2,X4,X5)),X1,X5,X4),
inference(resolution,[],[f118,f34]) ).
fof(f164,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(extension(X0,X1,extension(X2,X3,X4,X5),X3),X1,X6,X7)
| equidistant(X6,X7,X4,X5) ),
inference(resolution,[],[f115,f6]) ).
fof(f163,plain,
! [X2,X3,X0,X1,X4,X5] : equidistant(X0,X1,X2,extension(X3,X2,extension(X4,X5,X0,X1),X5)),
inference(resolution,[],[f115,f34]) ).
fof(f162,plain,
! [X2,X3,X0,X1,X4,X5] : equidistant(X0,X1,extension(X2,X3,extension(X4,X5,X0,X1),X5),X3),
inference(resolution,[],[f115,f42]) ).
fof(f115,plain,
! [X2,X3,X0,X1,X4,X5] : equidistant(extension(X0,X1,extension(X2,X3,X4,X5),X3),X1,X4,X5),
inference(resolution,[],[f35,f66]) ).
fof(f157,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,extension(X1,X0,X2,extension(X3,X2,X4,X5)),X6,X7)
| equidistant(X6,X7,X4,X5) ),
inference(resolution,[],[f113,f6]) ).
fof(f113,plain,
! [X2,X3,X0,X1,X4,X5] : equidistant(X0,extension(X1,X0,X2,extension(X3,X2,X4,X5)),X4,X5),
inference(resolution,[],[f35,f64]) ).
fof(f149,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,extension(X1,X0,extension(X2,X3,X4,X5),X3),X6,X7)
| equidistant(X6,X7,X4,X5) ),
inference(resolution,[],[f112,f6]) ).
fof(f112,plain,
! [X2,X3,X0,X1,X4,X5] : equidistant(X0,extension(X1,X0,extension(X2,X3,X4,X5),X3),X4,X5),
inference(resolution,[],[f35,f47]) ).
fof(f140,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : equidistant(X0,extension(X1,X0,X2,extension(X3,X2,X4,extension(X5,X4,X6,X7))),X6,X7),
inference(resolution,[],[f119,f35]) ).
fof(f138,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,X4,extension(X5,X4,X6,extension(X7,X6,X0,X1))) ),
inference(resolution,[],[f119,f6]) ).
fof(f136,plain,
! [X2,X3,X0,X1,X4,X5] : equidistant(X0,extension(X1,X0,X2,extension(X3,X2,X4,X5)),X4,X5),
inference(resolution,[],[f119,f42]) ).
fof(f119,plain,
! [X2,X3,X0,X1,X4,X5] : equidistant(X0,X1,X2,extension(X3,X2,X4,extension(X5,X4,X0,X1))),
inference(resolution,[],[f114,f34]) ).
fof(f131,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : equidistant(extension(X0,X1,X2,extension(X3,X2,X4,extension(X5,X4,X6,X7))),X1,X6,X7),
inference(resolution,[],[f118,f35]) ).
fof(f129,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,extension(X4,X5,X6,extension(X7,X6,X0,X1)),X5) ),
inference(resolution,[],[f118,f6]) ).
fof(f118,plain,
! [X2,X3,X0,X1,X4,X5] : equidistant(X0,X1,extension(X2,X3,X4,extension(X5,X4,X0,X1)),X3),
inference(resolution,[],[f114,f42]) ).
fof(f125,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ between(X0,X1,X2)
| ~ between(X3,X4,X1)
| ~ between(X5,X3,X0)
| between(X5,X3,outer_pasch(X4,X3,X0,X2,X1)) ),
inference(resolution,[],[f7,f2]) ).
fof(f120,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(extension(X0,X1,X2,extension(X3,X2,X4,X5)),X1,X6,X7)
| equidistant(X6,X7,X4,X5) ),
inference(resolution,[],[f114,f6]) ).
fof(f114,plain,
! [X2,X3,X0,X1,X4,X5] : equidistant(extension(X0,X1,X2,extension(X3,X2,X4,X5)),X1,X4,X5),
inference(resolution,[],[f35,f38]) ).
fof(f35,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,extension(X1,X0,X2,X3),X4,X5)
| equidistant(X4,X5,X2,X3) ),
inference(resolution,[],[f6,f14]) ).
fof(f32,plain,
! [X2,X3,X0,X1,X4] :
( ~ between(X0,X1,extension(X1,X2,X3,X4))
| between(X0,X1,X2) ),
inference(resolution,[],[f2,f13]) ).
fof(f90,plain,
( between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2)
| between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_3) ),
inference(subsumption_resolution,[],[f89,f15]) ).
fof(f89,plain,
( between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2)
| between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_3)
| between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3) ),
inference(resolution,[],[f21,f25]) ).
fof(f21,axiom,
! [X3,X0,X1] :
( ~ colinear(X0,X1,X3)
| between(X0,X3,X1)
| between(X1,X0,X3)
| between(X0,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',colinearity1) ).
fof(f62,plain,
! [X2,X3,X0,X1] : equidistant(X0,extension(X1,X0,X2,X3),X3,X2),
inference(resolution,[],[f42,f47]) ).
fof(f66,plain,
! [X2,X3,X0,X1] : equidistant(X0,X1,extension(X2,X3,X1,X0),X3),
inference(resolution,[],[f42,f43]) ).
fof(f73,plain,
! [X2,X3,X0,X1] : equidistant(X0,extension(X1,X0,X2,X3),X3,X2),
inference(resolution,[],[f64,f34]) ).
fof(f64,plain,
! [X2,X3,X0,X1] : equidistant(X0,X1,X2,extension(X3,X2,X0,X1)),
inference(resolution,[],[f42,f14]) ).
fof(f69,plain,
! [X2,X3,X0,X1] : equidistant(X0,X1,X2,extension(X3,X2,X0,X1)),
inference(resolution,[],[f63,f34]) ).
fof(f63,plain,
! [X2,X3,X0,X1] : equidistant(extension(X0,X1,X2,X3),X1,X2,X3),
inference(resolution,[],[f42,f38]) ).
fof(f42,plain,
! [X2,X3,X0,X1] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,X0,X1) ),
inference(resolution,[],[f37,f6]) ).
fof(f36,plain,
! [X2,X3,X0,X1] :
( ~ equidistant(X0,X0,X1,X2)
| equidistant(X1,X2,X3,X3) ),
inference(resolution,[],[f6,f28]) ).
fof(f47,plain,
! [X2,X3,X0,X1] : equidistant(X0,X1,X2,extension(X3,X2,X1,X0)),
inference(resolution,[],[f43,f34]) ).
fof(f43,plain,
! [X2,X3,X0,X1] : equidistant(extension(X0,X1,X2,X3),X1,X3,X2),
inference(resolution,[],[f38,f34]) ).
fof(f38,plain,
! [X2,X3,X0,X1] : equidistant(X0,X1,extension(X2,X3,X0,X1),X3),
inference(resolution,[],[f34,f14]) ).
fof(f37,plain,
! [X0,X1] : equidistant(X0,X1,X0,X1),
inference(resolution,[],[f34,f4]) ).
fof(f34,plain,
! [X2,X3,X0,X1] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,X1,X0) ),
inference(resolution,[],[f6,f4]) ).
fof(f6,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X4,X5)
| ~ equidistant(X0,X1,X3,X2)
| equidistant(X3,X2,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_for_equidistance) ).
fof(f2,axiom,
! [X2,X3,X0,X1] :
( ~ between(X1,X3,X2)
| ~ between(X0,X1,X2)
| between(X0,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_for_betweeness) ).
fof(f28,plain,
! [X2,X1] : equidistant(X1,X1,X2,X2),
inference(superposition,[],[f14,f27]) ).
fof(f4,axiom,
! [X0,X1] : equidistant(X0,X1,X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_for_equidistance) ).
fof(f16,axiom,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lower_dimension2) ).
fof(f15,axiom,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lower_dimension1) ).
fof(f25,axiom,
colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_lower_dimension_points_not_colinear) ).
fof(f12,axiom,
! [X2,X3,X0,X1,X8,X6,X9,X7] :
( ~ equidistant(X1,X3,X7,X8)
| ~ between(X6,X7,X8)
| ~ between(X0,X1,X3)
| ~ equidistant(X1,X2,X7,X9)
| ~ equidistant(X0,X2,X6,X9)
| X0 = X1
| ~ equidistant(X0,X1,X6,X7)
| equidistant(X3,X2,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',outer_five_segment) ).
fof(f1377,plain,
( spl0_2
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f1376]) ).
fof(f1376,plain,
( $false
| spl0_2
| ~ spl0_3 ),
inference(global_subsumption,[],[f12,f25,f15,f16,f17,f4,f1,f5,f13,f14,f27,f29,f28,f2,f6,f34,f37,f38,f43,f47,f36,f42,f63,f69,f64,f73,f66,f62,f21,f90,f32,f35,f114,f120,f7,f125,f118,f129,f131,f119,f136,f138,f140,f112,f149,f113,f157,f115,f162,f163,f164,f128,f171,f137,f177,f178,f179,f147,f185,f187,f148,f194,f196,f8,f201,f169,f204,f206,f170,f213,f215,f184,f224,f193,f229,f230,f231,f222,f237,f239,f223,f246,f248,f3,f253,f255,f257,f261,f270,f268,f272,f44,f277,f279,f48,f291,f292,f293,f294,f297,f298,f299,f300,f301,f275,f306,f307,f308,f304,f356,f276,f382,f386,f381,f412,f413,f9,f418,f419,f420,f387,f278,f468,f469,f51,f512,f516,f517,f70,f531,f532,f533,f534,f535,f538,f539,f540,f541,f542,f521,f550,f557,f570,f74,f578,f579,f580,f581,f583,f584,f585,f80,f587,f588,f590,f591,f592,f593,f595,f596,f597,f384,f599,f600,f603,f604,f605,f607,f608,f609,f610,f618,f625,f626,f627,f385,f653,f654,f655,f657,f658,f659,f660,f661,f662,f10,f664,f665,f666,f87,f677,f678,f679,f680,f681,f682,f683,f686,f687,f688,f689,f690,f691,f692,f321,f705,f706,f400,f748,f749,f750,f756,f433,f762,f770,f771,f509,f813,f814,f815,f816,f822,f817,f828,f836,f837,f838,f510,f865,f866,f867,f868,f869,f871,f872,f875,f511,f879,f880,f881,f882,f883,f887,f888,f889,f513,f895,f896,f897,f905,f906,f907,f11,f947,f948,f514,f953,f954,f955,f963,f964,f965,f515,f1009,f1010,f1011,f1019,f1020,f1021,f577,f1064,f1065,f1066,f1067,f1068,f1069,f1070,f1071,f1076,f582,f1082,f1083,f1084,f1085,f1093,f1094,f1095,f589,f1138,f1139,f1140,f1141,f1142,f1143,f1144,f1145,f1146,f1147,f1148,f1151,f20,f1153,f1154,f1155,f1156,f1157,f1158,f1159,f1160,f1161,f1162,f1163,f1164,f1165,f1166,f1167,f1168,f1169,f1170,f1171,f1172,f1173,f1174,f1175,f1176,f1177,f1178,f1179,f1180,f1181,f594,f1186,f1187,f1188,f1189,f1197,f1198,f1199,f1200,f19,f1240,f1241,f1242,f1243,f1244,f1245,f1246,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f820,f1258,f1259,f1264,f1265,f1266,f1267,f821,f1273,f1274,f1279,f1280,f1281,f1282,f18,f1285,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f1305,f1306,f1307,f1308,f1309,f1310,f1312,f1313,f1314,f1315,f273,f1332,f1333,f1335,f1336,f1337,f124,f1342,f1343,f1344,f1345,f1346,f1348,f1350,f1353,f1354,f1355,f1371,f1341,f1334,f1372,f1374,f1375,f97]) ).
fof(f1369,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f1368]) ).
fof(f1368,plain,
( $false
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f1367,f98]) ).
fof(f98,plain,
( between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f1367,plain,
( ~ between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2)
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f1366,f29]) ).
fof(f1366,plain,
( ~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2)
| ~ between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2)
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f1364,f16]) ).
fof(f1364,plain,
( between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1)
| ~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2)
| ~ between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2)
| ~ spl0_2 ),
inference(superposition,[],[f8,f1357]) ).
fof(f1357,plain,
( lower_dimension_point_1 = outer_pasch(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2)
| ~ spl0_2 ),
inference(resolution,[],[f1352,f29]) ).
fof(f1352,plain,
( ! [X0] :
( ~ between(lower_dimension_point_1,lower_dimension_point_2,X0)
| lower_dimension_point_1 = outer_pasch(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,X0,lower_dimension_point_2) )
| ~ spl0_2 ),
inference(resolution,[],[f124,f98]) ).
fof(f266,plain,
( spl0_3
| spl0_4
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f258,f96,f263,f260]) ).
fof(f263,plain,
( spl0_4
<=> lower_dimension_point_1 = lower_dimension_point_3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f258,plain,
( ! [X0] :
( lower_dimension_point_1 = lower_dimension_point_3
| ~ between(lower_dimension_point_1,lower_dimension_point_3,X0)
| between(lower_dimension_point_1,X0,lower_dimension_point_2)
| between(lower_dimension_point_1,lower_dimension_point_2,X0) )
| ~ spl0_2 ),
inference(resolution,[],[f3,f98]) ).
fof(f99,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f90,f96,f92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO011-1 : TPTP v8.1.2. Bugfixed v2.5.0.
% 0.15/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n020.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 21:57:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.22/0.36 % (11369)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38 % (11370)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.38 % (11374)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.22/0.39 % (11372)WARNING: value z3 for option sas not known
% 0.22/0.39 % (11373)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.39 % (11372)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.39 % (11375)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.22/0.39 % (11371)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.39 % (11376)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.22/0.39 TRYING [1]
% 0.22/0.40 TRYING [1]
% 0.22/0.40 TRYING [2]
% 0.22/0.40 TRYING [2]
% 0.22/0.40 TRYING [3]
% 0.22/0.46 % (11372)First to succeed.
% 0.22/0.47 % (11372)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-11369"
% 0.22/0.47 % (11372)Refutation found. Thanks to Tanya!
% 0.22/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.47 % (11372)------------------------------
% 0.22/0.47 % (11372)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.47 % (11372)Termination reason: Refutation
% 0.22/0.47
% 0.22/0.47 % (11372)Memory used [KB]: 1302
% 0.22/0.47 % (11372)Time elapsed: 0.076 s
% 0.22/0.47 % (11372)Instructions burned: 133 (million)
% 0.22/0.47 % (11369)Success in time 0.095 s
%------------------------------------------------------------------------------