TSTP Solution File: GEO148-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO148-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n031.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 11:14:12 EDT 2024
% Result : Unsatisfiable 0.21s 0.43s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 310
% Syntax : Number of formulae : 723 ( 113 unt; 0 def)
% Number of atoms : 2286 ( 136 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 2696 (1133 ~;1355 |; 0 &)
% ( 208 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 225 ( 223 usr; 209 prp; 0-4 aty)
% Number of functors : 36 ( 36 usr; 5 con; 0-5 aty)
% Number of variables : 1203 (1203 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1739,plain,
$false,
inference(avatar_sat_refutation,[],[f131,f136,f141,f146,f150,f154,f158,f162,f166,f170,f174,f178,f182,f186,f190,f194,f198,f202,f206,f210,f219,f231,f235,f239,f243,f248,f252,f256,f260,f264,f274,f279,f283,f287,f291,f295,f299,f303,f307,f311,f315,f332,f338,f342,f356,f363,f367,f372,f376,f380,f384,f388,f392,f396,f400,f404,f408,f414,f432,f436,f440,f444,f448,f452,f456,f460,f464,f468,f472,f477,f501,f505,f509,f513,f517,f521,f525,f529,f534,f538,f542,f546,f550,f554,f598,f602,f606,f619,f623,f627,f636,f646,f650,f666,f670,f685,f689,f693,f704,f708,f722,f726,f731,f743,f752,f756,f790,f794,f798,f817,f827,f835,f840,f844,f854,f858,f866,f870,f877,f883,f887,f903,f907,f916,f920,f924,f928,f932,f936,f960,f964,f968,f972,f976,f980,f984,f991,f1015,f1019,f1023,f1027,f1032,f1036,f1040,f1044,f1048,f1087,f1091,f1095,f1099,f1103,f1107,f1111,f1115,f1121,f1172,f1176,f1180,f1184,f1212,f1216,f1227,f1231,f1235,f1239,f1243,f1253,f1257,f1263,f1267,f1271,f1275,f1279,f1283,f1287,f1291,f1295,f1299,f1305,f1309,f1313,f1317,f1321,f1443,f1447,f1451,f1455,f1459,f1463,f1467,f1471,f1475,f1566,f1570,f1574,f1578,f1582,f1586,f1590,f1594,f1598,f1717,f1721,f1725,f1729,f1733,f1737,f1738]) ).
fof(f1738,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_2
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f1682,f1473,f133,f138,f128]) ).
fof(f128,plain,
( spl0_1
<=> connect(sk28,sk29,sk27) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f138,plain,
( spl0_3
<=> ordered_by(ax3_sk1(sk28),sk27,sk30) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f133,plain,
( spl0_2
<=> ordered_by(ax3_sk1(sk29),sk31,sk27) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f1473,plain,
( spl0_193
<=> ! [X0] :
( ~ ordered_by(ax3_sk1(sk29),sk31,X0)
| ~ ordered_by(ax3_sk1(sk28),X0,sk30)
| ~ connect(sk28,sk29,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_193])]) ).
fof(f1682,plain,
( ~ ordered_by(ax3_sk1(sk28),sk27,sk30)
| ~ connect(sk28,sk29,sk27)
| ~ spl0_2
| ~ spl0_193 ),
inference(resolution,[],[f1474,f135]) ).
fof(f135,plain,
( ordered_by(ax3_sk1(sk29),sk31,sk27)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f1474,plain,
( ! [X0] :
( ~ ordered_by(ax3_sk1(sk29),sk31,X0)
| ~ ordered_by(ax3_sk1(sk28),X0,sk30)
| ~ connect(sk28,sk29,X0) )
| ~ spl0_193 ),
inference(avatar_component_clause,[],[f1473]) ).
fof(f1737,plain,
( spl0_208
| ~ spl0_28
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f654,f644,f254,f1735]) ).
fof(f1735,plain,
( spl0_208
<=> ! [X2,X0,X1] :
( ~ incident_c(X0,ax2_sk3(X1))
| meet(X0,ax2_sk3(X1),X2)
| ~ incident_c(X0,X2)
| incident_o(ax0_sk5(X2,ax2_sk3(X1),X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_208])]) ).
fof(f254,plain,
( spl0_28
<=> ! [X0,X1] :
( incident_o(X0,X1)
| ~ incident_c(X0,ax2_sk3(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f644,plain,
( spl0_92
<=> ! [X2,X0,X1] :
( ~ incident_c(X0,X2)
| ~ incident_c(X0,X1)
| meet(X0,X1,X2)
| incident_c(ax0_sk5(X2,X1,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f654,plain,
( ! [X2,X0,X1] :
( ~ incident_c(X0,ax2_sk3(X1))
| meet(X0,ax2_sk3(X1),X2)
| ~ incident_c(X0,X2)
| incident_o(ax0_sk5(X2,ax2_sk3(X1),X0),X1) )
| ~ spl0_28
| ~ spl0_92 ),
inference(resolution,[],[f645,f255]) ).
fof(f255,plain,
( ! [X0,X1] :
( ~ incident_c(X0,ax2_sk3(X1))
| incident_o(X0,X1) )
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f645,plain,
( ! [X2,X0,X1] :
( incident_c(ax0_sk5(X2,X1,X0),X1)
| ~ incident_c(X0,X1)
| meet(X0,X1,X2)
| ~ incident_c(X0,X2) )
| ~ spl0_92 ),
inference(avatar_component_clause,[],[f644]) ).
fof(f1733,plain,
( spl0_207
| ~ spl0_43
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f652,f644,f336,f1731]) ).
fof(f1731,plain,
( spl0_207
<=> ! [X0,X3,X2,X1] :
( ~ incident_c(X0,X1)
| meet(X0,X1,X2)
| ~ incident_c(X0,X2)
| ~ part_of(X1,X3)
| incident_c(ax0_sk5(X2,X1,X0),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_207])]) ).
fof(f336,plain,
( spl0_43
<=> ! [X2,X0,X1] :
( ~ part_of(X0,X1)
| ~ incident_c(X2,X0)
| incident_c(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f652,plain,
( ! [X2,X3,X0,X1] :
( ~ incident_c(X0,X1)
| meet(X0,X1,X2)
| ~ incident_c(X0,X2)
| ~ part_of(X1,X3)
| incident_c(ax0_sk5(X2,X1,X0),X3) )
| ~ spl0_43
| ~ spl0_92 ),
inference(resolution,[],[f645,f337]) ).
fof(f337,plain,
( ! [X2,X0,X1] :
( ~ incident_c(X2,X0)
| ~ part_of(X0,X1)
| incident_c(X2,X1) )
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f336]) ).
fof(f1729,plain,
( spl0_206
| ~ spl0_44
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f609,f600,f340,f1727]) ).
fof(f1727,plain,
( spl0_206
<=> ! [X0,X1] :
( incident_o(ax2_sk10(X0,X1),X0)
| underlying_curve(X0) = X1
| inner_point(ax2_sk10(X0,X1),X1)
| end_point(ax2_sk10(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_206])]) ).
fof(f340,plain,
( spl0_44
<=> ! [X0,X1] :
( ~ incident_c(X0,X1)
| inner_point(X0,X1)
| end_point(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f600,plain,
( spl0_86
<=> ! [X0,X1] :
( underlying_curve(X0) = X1
| incident_o(ax2_sk10(X0,X1),X0)
| incident_c(ax2_sk10(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f609,plain,
( ! [X0,X1] :
( incident_o(ax2_sk10(X0,X1),X0)
| underlying_curve(X0) = X1
| inner_point(ax2_sk10(X0,X1),X1)
| end_point(ax2_sk10(X0,X1),X1) )
| ~ spl0_44
| ~ spl0_86 ),
inference(resolution,[],[f601,f341]) ).
fof(f341,plain,
( ! [X0,X1] :
( ~ incident_c(X0,X1)
| inner_point(X0,X1)
| end_point(X0,X1) )
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f340]) ).
fof(f601,plain,
( ! [X0,X1] :
( incident_o(ax2_sk10(X0,X1),X0)
| incident_c(ax2_sk10(X0,X1),X1)
| underlying_curve(X0) = X1 )
| ~ spl0_86 ),
inference(avatar_component_clause,[],[f600]) ).
fof(f1725,plain,
( spl0_205
| ~ spl0_40
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f572,f519,f309,f1723]) ).
fof(f1723,plain,
( spl0_205
<=> ! [X2,X0,X1] :
( sum(X1,X2) = X0
| ~ incident_c(ax0_sk13(X0,sum(X1,X2)),X0)
| ~ incident_c(ax0_sk13(X0,sum(X1,X2)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_205])]) ).
fof(f309,plain,
( spl0_40
<=> ! [X2,X1,X3] :
( ~ incident_c(X3,X1)
| incident_c(X3,sum(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f519,plain,
( spl0_76
<=> ! [X0,X1] :
( X0 = X1
| ~ incident_c(ax0_sk13(X0,X1),X1)
| ~ incident_c(ax0_sk13(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f572,plain,
( ! [X2,X0,X1] :
( sum(X1,X2) = X0
| ~ incident_c(ax0_sk13(X0,sum(X1,X2)),X0)
| ~ incident_c(ax0_sk13(X0,sum(X1,X2)),X1) )
| ~ spl0_40
| ~ spl0_76 ),
inference(resolution,[],[f520,f310]) ).
fof(f310,plain,
( ! [X2,X3,X1] :
( incident_c(X3,sum(X1,X2))
| ~ incident_c(X3,X1) )
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f309]) ).
fof(f520,plain,
( ! [X0,X1] :
( ~ incident_c(ax0_sk13(X0,X1),X1)
| X0 = X1
| ~ incident_c(ax0_sk13(X0,X1),X0) )
| ~ spl0_76 ),
inference(avatar_component_clause,[],[f519]) ).
fof(f1721,plain,
( spl0_204
| ~ spl0_41
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f571,f519,f313,f1719]) ).
fof(f1719,plain,
( spl0_204
<=> ! [X2,X0,X1] :
( sum(X1,X2) = X0
| ~ incident_c(ax0_sk13(X0,sum(X1,X2)),X0)
| ~ incident_c(ax0_sk13(X0,sum(X1,X2)),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_204])]) ).
fof(f313,plain,
( spl0_41
<=> ! [X2,X1,X3] :
( ~ incident_c(X3,X2)
| incident_c(X3,sum(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f571,plain,
( ! [X2,X0,X1] :
( sum(X1,X2) = X0
| ~ incident_c(ax0_sk13(X0,sum(X1,X2)),X0)
| ~ incident_c(ax0_sk13(X0,sum(X1,X2)),X2) )
| ~ spl0_41
| ~ spl0_76 ),
inference(resolution,[],[f520,f314]) ).
fof(f314,plain,
( ! [X2,X3,X1] :
( incident_c(X3,sum(X1,X2))
| ~ incident_c(X3,X2) )
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f313]) ).
fof(f1717,plain,
( spl0_203
| ~ spl0_32
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f427,f406,f277,f1715]) ).
fof(f1715,plain,
( spl0_203
<=> ! [X2,X0,X1] :
( incident_c(ax0_sk1(sum(X0,X1),X2),X1)
| incident_c(ax0_sk1(sum(X0,X1),X2),X0)
| part_of(sum(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_203])]) ).
fof(f277,plain,
( spl0_32
<=> ! [X0,X1] :
( part_of(X0,X1)
| incident_c(ax0_sk1(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f406,plain,
( spl0_57
<=> ! [X2,X1,X3] :
( ~ incident_c(X3,sum(X1,X2))
| incident_c(X3,X2)
| incident_c(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f427,plain,
( ! [X2,X0,X1] :
( incident_c(ax0_sk1(sum(X0,X1),X2),X1)
| incident_c(ax0_sk1(sum(X0,X1),X2),X0)
| part_of(sum(X0,X1),X2) )
| ~ spl0_32
| ~ spl0_57 ),
inference(resolution,[],[f407,f278]) ).
fof(f278,plain,
( ! [X0,X1] :
( incident_c(ax0_sk1(X0,X1),X0)
| part_of(X0,X1) )
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f407,plain,
( ! [X2,X3,X1] :
( ~ incident_c(X3,sum(X1,X2))
| incident_c(X3,X2)
| incident_c(X3,X1) )
| ~ spl0_57 ),
inference(avatar_component_clause,[],[f406]) ).
fof(f1598,plain,
( spl0_202
| ~ spl0_6
| ~ spl0_101 ),
inference(avatar_split_clause,[],[f732,f720,f152,f1596]) ).
fof(f1596,plain,
( spl0_202
<=> ! [X0,X3,X2,X1] :
( ~ part_of(X0,X1)
| ~ end_point(X2,X0)
| ~ end_point(X3,X0)
| X2 = X3
| between_c(X1,X3,ax0_sk8(X0),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_202])]) ).
fof(f152,plain,
( spl0_6
<=> ! [X0] : inner_point(ax0_sk8(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f720,plain,
( spl0_101
<=> ! [X4,X0,X3,X2,X1] :
( ~ inner_point(X4,X2)
| ~ part_of(X2,X3)
| ~ end_point(X1,X2)
| ~ end_point(X0,X2)
| X0 = X1
| between_c(X3,X0,X4,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f732,plain,
( ! [X2,X3,X0,X1] :
( ~ part_of(X0,X1)
| ~ end_point(X2,X0)
| ~ end_point(X3,X0)
| X2 = X3
| between_c(X1,X3,ax0_sk8(X0),X2) )
| ~ spl0_6
| ~ spl0_101 ),
inference(resolution,[],[f721,f153]) ).
fof(f153,plain,
( ! [X0] : inner_point(ax0_sk8(X0),X0)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f721,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ inner_point(X4,X2)
| ~ part_of(X2,X3)
| ~ end_point(X1,X2)
| ~ end_point(X0,X2)
| X0 = X1
| between_c(X3,X0,X4,X1) )
| ~ spl0_101 ),
inference(avatar_component_clause,[],[f720]) ).
fof(f1594,plain,
( spl0_201
| ~ spl0_43
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f629,f617,f336,f1592]) ).
fof(f1592,plain,
( spl0_201
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ between_o(X0,X1,X2,X3)
| ~ incident_o(X4,X0)
| ~ part_of(ax2_sk4(X0,X3,X2,X1),X5)
| incident_c(X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_201])]) ).
fof(f617,plain,
( spl0_88
<=> ! [X4,X0,X3,X2,X1] :
( ~ incident_o(X4,X0)
| ~ between_o(X0,X1,X2,X3)
| incident_c(X4,ax2_sk4(X0,X3,X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f629,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between_o(X0,X1,X2,X3)
| ~ incident_o(X4,X0)
| ~ part_of(ax2_sk4(X0,X3,X2,X1),X5)
| incident_c(X4,X5) )
| ~ spl0_43
| ~ spl0_88 ),
inference(resolution,[],[f618,f337]) ).
fof(f618,plain,
( ! [X2,X3,X0,X1,X4] :
( incident_c(X4,ax2_sk4(X0,X3,X2,X1))
| ~ between_o(X0,X1,X2,X3)
| ~ incident_o(X4,X0) )
| ~ spl0_88 ),
inference(avatar_component_clause,[],[f617]) ).
fof(f1590,plain,
( spl0_200
| ~ spl0_39
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f608,f600,f305,f1588]) ).
fof(f1588,plain,
( spl0_200
<=> ! [X0,X1] :
( incident_c(ax2_sk10(ax3_sk1(X0),X1),X1)
| underlying_curve(ax3_sk1(X0)) = X1
| once(at(X0,ax2_sk10(ax3_sk1(X0),X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_200])]) ).
fof(f305,plain,
( spl0_39
<=> ! [X0,X1] :
( ~ incident_o(X0,ax3_sk1(X1))
| once(at(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f608,plain,
( ! [X0,X1] :
( incident_c(ax2_sk10(ax3_sk1(X0),X1),X1)
| underlying_curve(ax3_sk1(X0)) = X1
| once(at(X0,ax2_sk10(ax3_sk1(X0),X1))) )
| ~ spl0_39
| ~ spl0_86 ),
inference(resolution,[],[f601,f306]) ).
fof(f306,plain,
( ! [X0,X1] :
( ~ incident_o(X0,ax3_sk1(X1))
| once(at(X1,X0)) )
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f305]) ).
fof(f1586,plain,
( spl0_199
| ~ spl0_44
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f563,f515,f340,f1584]) ).
fof(f1584,plain,
( spl0_199
<=> ! [X0,X1] :
( incident_c(ax0_sk13(X0,X1),X1)
| X0 = X1
| inner_point(ax0_sk13(X0,X1),X0)
| end_point(ax0_sk13(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_199])]) ).
fof(f515,plain,
( spl0_75
<=> ! [X0,X1] :
( X0 = X1
| incident_c(ax0_sk13(X0,X1),X0)
| incident_c(ax0_sk13(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f563,plain,
( ! [X0,X1] :
( incident_c(ax0_sk13(X0,X1),X1)
| X0 = X1
| inner_point(ax0_sk13(X0,X1),X0)
| end_point(ax0_sk13(X0,X1),X0) )
| ~ spl0_44
| ~ spl0_75 ),
inference(resolution,[],[f516,f341]) ).
fof(f516,plain,
( ! [X0,X1] :
( incident_c(ax0_sk13(X0,X1),X1)
| incident_c(ax0_sk13(X0,X1),X0)
| X0 = X1 )
| ~ spl0_75 ),
inference(avatar_component_clause,[],[f515]) ).
fof(f1582,plain,
( spl0_198
| ~ spl0_44
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f558,f515,f340,f1580]) ).
fof(f1580,plain,
( spl0_198
<=> ! [X0,X1] :
( incident_c(ax0_sk13(X0,X1),X0)
| X0 = X1
| inner_point(ax0_sk13(X0,X1),X1)
| end_point(ax0_sk13(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_198])]) ).
fof(f558,plain,
( ! [X0,X1] :
( incident_c(ax0_sk13(X0,X1),X0)
| X0 = X1
| inner_point(ax0_sk13(X0,X1),X1)
| end_point(ax0_sk13(X0,X1),X1) )
| ~ spl0_44
| ~ spl0_75 ),
inference(resolution,[],[f516,f341]) ).
fof(f1578,plain,
( spl0_197
| ~ spl0_51
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f556,f511,f382,f1576]) ).
fof(f1576,plain,
( spl0_197
<=> ! [X2,X0,X1] :
( ~ incident_c(X0,ax0_sk10(X1,X2))
| end_point(X0,ax0_sk10(X1,X2))
| ~ incident_c(X0,ax0_sk9(X1,X2))
| ~ inner_point(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_197])]) ).
fof(f382,plain,
( spl0_51
<=> ! [X0,X1] :
( ~ inner_point(X0,X1)
| meet(X0,ax0_sk9(X0,X1),ax0_sk10(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f511,plain,
( spl0_74
<=> ! [X2,X0,X1,X3] :
( ~ incident_c(X3,X1)
| ~ incident_c(X3,X2)
| end_point(X3,X2)
| ~ meet(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f556,plain,
( ! [X2,X0,X1] :
( ~ incident_c(X0,ax0_sk10(X1,X2))
| end_point(X0,ax0_sk10(X1,X2))
| ~ incident_c(X0,ax0_sk9(X1,X2))
| ~ inner_point(X1,X2) )
| ~ spl0_51
| ~ spl0_74 ),
inference(resolution,[],[f512,f383]) ).
fof(f383,plain,
( ! [X0,X1] :
( meet(X0,ax0_sk9(X0,X1),ax0_sk10(X0,X1))
| ~ inner_point(X0,X1) )
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f382]) ).
fof(f512,plain,
( ! [X2,X3,X0,X1] :
( ~ meet(X0,X1,X2)
| ~ incident_c(X3,X2)
| end_point(X3,X2)
| ~ incident_c(X3,X1) )
| ~ spl0_74 ),
inference(avatar_component_clause,[],[f511]) ).
fof(f1574,plain,
( spl0_196
| ~ spl0_118
| ~ spl0_154 ),
inference(avatar_split_clause,[],[f1154,f1109,f868,f1572]) ).
fof(f1572,plain,
( spl0_196
<=> ! [X0] :
( ~ connect(sk29,sk28,X0)
| ~ ordered_by(ax3_sk1(sk29),sk31,X0)
| ~ ordered_by(ax3_sk1(sk28),X0,sk30) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_196])]) ).
fof(f868,plain,
( spl0_118
<=> ! [X0,X1] :
( ~ ordered_by(ax3_sk1(sk28),X0,sk30)
| ~ ordered_by(ax3_sk1(sk29),sk31,X1)
| ~ once(at_the_same_time(at(sk28,X0),at(sk29,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f1109,plain,
( spl0_154
<=> ! [X2,X0,X1] :
( ~ connect(X0,X1,X2)
| once(at_the_same_time(at(X1,X2),at(X0,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).
fof(f1154,plain,
( ! [X0] :
( ~ connect(sk29,sk28,X0)
| ~ ordered_by(ax3_sk1(sk29),sk31,X0)
| ~ ordered_by(ax3_sk1(sk28),X0,sk30) )
| ~ spl0_118
| ~ spl0_154 ),
inference(resolution,[],[f1110,f869]) ).
fof(f869,plain,
( ! [X0,X1] :
( ~ once(at_the_same_time(at(sk28,X0),at(sk29,X1)))
| ~ ordered_by(ax3_sk1(sk29),sk31,X1)
| ~ ordered_by(ax3_sk1(sk28),X0,sk30) )
| ~ spl0_118 ),
inference(avatar_component_clause,[],[f868]) ).
fof(f1110,plain,
( ! [X2,X0,X1] :
( once(at_the_same_time(at(X1,X2),at(X0,X2)))
| ~ connect(X0,X1,X2) )
| ~ spl0_154 ),
inference(avatar_component_clause,[],[f1109]) ).
fof(f1570,plain,
( spl0_195
| ~ spl0_51
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f555,f507,f382,f1568]) ).
fof(f1568,plain,
( spl0_195
<=> ! [X2,X0,X1] :
( ~ incident_c(X0,ax0_sk10(X1,X2))
| end_point(X0,ax0_sk9(X1,X2))
| ~ incident_c(X0,ax0_sk9(X1,X2))
| ~ inner_point(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_195])]) ).
fof(f507,plain,
( spl0_73
<=> ! [X2,X0,X1,X3] :
( ~ incident_c(X3,X1)
| ~ incident_c(X3,X2)
| end_point(X3,X1)
| ~ meet(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f555,plain,
( ! [X2,X0,X1] :
( ~ incident_c(X0,ax0_sk10(X1,X2))
| end_point(X0,ax0_sk9(X1,X2))
| ~ incident_c(X0,ax0_sk9(X1,X2))
| ~ inner_point(X1,X2) )
| ~ spl0_51
| ~ spl0_73 ),
inference(resolution,[],[f508,f383]) ).
fof(f508,plain,
( ! [X2,X3,X0,X1] :
( ~ meet(X0,X1,X2)
| ~ incident_c(X3,X2)
| end_point(X3,X1)
| ~ incident_c(X3,X1) )
| ~ spl0_73 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f1566,plain,
( spl0_194
| ~ spl0_51
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f422,f386,f382,f1564]) ).
fof(f1564,plain,
( spl0_194
<=> ! [X0,X1] :
( sum(ax0_sk9(X0,X1),ax0_sk10(X0,X1)) = ax0_sk12(ax0_sk10(X0,X1),ax0_sk9(X0,X1))
| ~ inner_point(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_194])]) ).
fof(f386,plain,
( spl0_52
<=> ! [X2,X0,X1] :
( ~ meet(X0,X1,X2)
| sum(X1,X2) = ax0_sk12(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f422,plain,
( ! [X0,X1] :
( sum(ax0_sk9(X0,X1),ax0_sk10(X0,X1)) = ax0_sk12(ax0_sk10(X0,X1),ax0_sk9(X0,X1))
| ~ inner_point(X0,X1) )
| ~ spl0_51
| ~ spl0_52 ),
inference(resolution,[],[f387,f383]) ).
fof(f387,plain,
( ! [X2,X0,X1] :
( ~ meet(X0,X1,X2)
| sum(X1,X2) = ax0_sk12(X2,X1) )
| ~ spl0_52 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f1475,plain,
( spl0_193
| ~ spl0_67
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f872,f868,f462,f1473]) ).
fof(f462,plain,
( spl0_67
<=> ! [X2,X0,X1] :
( ~ connect(X0,X1,X2)
| once(at_the_same_time(at(X0,X2),at(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f872,plain,
( ! [X0] :
( ~ ordered_by(ax3_sk1(sk29),sk31,X0)
| ~ ordered_by(ax3_sk1(sk28),X0,sk30)
| ~ connect(sk28,sk29,X0) )
| ~ spl0_67
| ~ spl0_118 ),
inference(resolution,[],[f869,f463]) ).
fof(f463,plain,
( ! [X2,X0,X1] :
( once(at_the_same_time(at(X0,X2),at(X1,X2)))
| ~ connect(X0,X1,X2) )
| ~ spl0_67 ),
inference(avatar_component_clause,[],[f462]) ).
fof(f1471,plain,
( spl0_192
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f783,f754,f1469]) ).
fof(f1469,plain,
( spl0_192
<=> ! [X4,X5] :
( incident_c(ax0_sk2(X4,X4,X5),X5)
| incident_c(ax0_sk2(X4,X4,X5),X4)
| sum(X4,X4) = X5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_192])]) ).
fof(f754,plain,
( spl0_106
<=> ! [X2,X0,X1] :
( sum(X1,X0) = X2
| incident_c(ax0_sk2(X0,X1,X2),X0)
| incident_c(ax0_sk2(X0,X1,X2),X1)
| incident_c(ax0_sk2(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f783,plain,
( ! [X4,X5] :
( incident_c(ax0_sk2(X4,X4,X5),X5)
| incident_c(ax0_sk2(X4,X4,X5),X4)
| sum(X4,X4) = X5 )
| ~ spl0_106 ),
inference(factoring,[],[f755]) ).
fof(f755,plain,
( ! [X2,X0,X1] :
( incident_c(ax0_sk2(X0,X1,X2),X2)
| incident_c(ax0_sk2(X0,X1,X2),X1)
| incident_c(ax0_sk2(X0,X1,X2),X0)
| sum(X1,X0) = X2 )
| ~ spl0_106 ),
inference(avatar_component_clause,[],[f754]) ).
fof(f1467,plain,
( spl0_191
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f782,f754,f1465]) ).
fof(f1465,plain,
( spl0_191
<=> ! [X2,X3] :
( incident_c(ax0_sk2(X2,X3,X2),X2)
| incident_c(ax0_sk2(X2,X3,X2),X3)
| sum(X3,X2) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_191])]) ).
fof(f782,plain,
( ! [X2,X3] :
( incident_c(ax0_sk2(X2,X3,X2),X2)
| incident_c(ax0_sk2(X2,X3,X2),X3)
| sum(X3,X2) = X2 )
| ~ spl0_106 ),
inference(factoring,[],[f755]) ).
fof(f1463,plain,
( spl0_190
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f781,f754,f1461]) ).
fof(f1461,plain,
( spl0_190
<=> ! [X0,X1] :
( incident_c(ax0_sk2(X0,X1,X1),X1)
| incident_c(ax0_sk2(X0,X1,X1),X0)
| sum(X1,X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_190])]) ).
fof(f781,plain,
( ! [X0,X1] :
( incident_c(ax0_sk2(X0,X1,X1),X1)
| incident_c(ax0_sk2(X0,X1,X1),X0)
| sum(X1,X0) = X1 )
| ~ spl0_106 ),
inference(factoring,[],[f755]) ).
fof(f1459,plain,
( spl0_189
| ~ spl0_24
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f700,f691,f237,f1457]) ).
fof(f1457,plain,
( spl0_189
<=> ! [X2,X0,X1] :
( ~ incident_c(X0,X1)
| ~ incident_c(X2,X1)
| X0 = X2
| ~ open(X1)
| incident_o(X2,ax2_sk7(X1,X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).
fof(f237,plain,
( spl0_24
<=> ! [X2,X0,X1] :
( incident_o(X1,X0)
| ~ ordered_by(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f691,plain,
( spl0_98
<=> ! [X2,X0,X1] :
( ~ open(X0)
| ~ incident_c(X2,X0)
| ~ incident_c(X1,X0)
| X1 = X2
| ordered_by(ax2_sk7(X0,X2,X1),X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f700,plain,
( ! [X2,X0,X1] :
( ~ incident_c(X0,X1)
| ~ incident_c(X2,X1)
| X0 = X2
| ~ open(X1)
| incident_o(X2,ax2_sk7(X1,X0,X2)) )
| ~ spl0_24
| ~ spl0_98 ),
inference(resolution,[],[f692,f238]) ).
fof(f238,plain,
( ! [X2,X0,X1] :
( ~ ordered_by(X0,X1,X2)
| incident_o(X1,X0) )
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f692,plain,
( ! [X2,X0,X1] :
( ordered_by(ax2_sk7(X0,X2,X1),X1,X2)
| ~ incident_c(X2,X0)
| ~ incident_c(X1,X0)
| X1 = X2
| ~ open(X0) )
| ~ spl0_98 ),
inference(avatar_component_clause,[],[f691]) ).
fof(f1455,plain,
( spl0_188
| ~ spl0_25
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f699,f691,f241,f1453]) ).
fof(f1453,plain,
( spl0_188
<=> ! [X2,X0,X1] :
( ~ incident_c(X0,X1)
| ~ incident_c(X2,X1)
| X0 = X2
| ~ open(X1)
| incident_o(X0,ax2_sk7(X1,X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).
fof(f241,plain,
( spl0_25
<=> ! [X2,X0,X1] :
( incident_o(X2,X0)
| ~ ordered_by(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f699,plain,
( ! [X2,X0,X1] :
( ~ incident_c(X0,X1)
| ~ incident_c(X2,X1)
| X0 = X2
| ~ open(X1)
| incident_o(X0,ax2_sk7(X1,X0,X2)) )
| ~ spl0_25
| ~ spl0_98 ),
inference(resolution,[],[f692,f242]) ).
fof(f242,plain,
( ! [X2,X0,X1] :
( ~ ordered_by(X0,X1,X2)
| incident_o(X2,X0) )
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f1451,plain,
( spl0_187
| ~ spl0_30
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f613,f600,f262,f1449]) ).
fof(f1449,plain,
( spl0_187
<=> ! [X0,X1] :
( incident_o(ax2_sk10(X0,underlying_curve(X1)),X0)
| underlying_curve(X1) = underlying_curve(X0)
| incident_o(ax2_sk10(X0,underlying_curve(X1)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).
fof(f262,plain,
( spl0_30
<=> ! [X2,X1] :
( ~ incident_c(X2,underlying_curve(X1))
| incident_o(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f613,plain,
( ! [X0,X1] :
( incident_o(ax2_sk10(X0,underlying_curve(X1)),X0)
| underlying_curve(X1) = underlying_curve(X0)
| incident_o(ax2_sk10(X0,underlying_curve(X1)),X1) )
| ~ spl0_30
| ~ spl0_86 ),
inference(resolution,[],[f601,f263]) ).
fof(f263,plain,
( ! [X2,X1] :
( ~ incident_c(X2,underlying_curve(X1))
| incident_o(X2,X1) )
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f1447,plain,
( spl0_186
| ~ spl0_28
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f612,f600,f254,f1445]) ).
fof(f1445,plain,
( spl0_186
<=> ! [X0,X1] :
( incident_o(ax2_sk10(X0,ax2_sk3(X1)),X0)
| ax2_sk3(X1) = underlying_curve(X0)
| incident_o(ax2_sk10(X0,ax2_sk3(X1)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).
fof(f612,plain,
( ! [X0,X1] :
( incident_o(ax2_sk10(X0,ax2_sk3(X1)),X0)
| ax2_sk3(X1) = underlying_curve(X0)
| incident_o(ax2_sk10(X0,ax2_sk3(X1)),X1) )
| ~ spl0_28
| ~ spl0_86 ),
inference(resolution,[],[f601,f255]) ).
fof(f1443,plain,
( spl0_185
| ~ spl0_43
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f610,f600,f336,f1441]) ).
fof(f1441,plain,
( spl0_185
<=> ! [X2,X0,X1] :
( incident_o(ax2_sk10(X0,X1),X0)
| underlying_curve(X0) = X1
| ~ part_of(X1,X2)
| incident_c(ax2_sk10(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).
fof(f610,plain,
( ! [X2,X0,X1] :
( incident_o(ax2_sk10(X0,X1),X0)
| underlying_curve(X0) = X1
| ~ part_of(X1,X2)
| incident_c(ax2_sk10(X0,X1),X2) )
| ~ spl0_43
| ~ spl0_86 ),
inference(resolution,[],[f601,f337]) ).
fof(f1321,plain,
( spl0_184
| ~ spl0_24
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f712,f702,f237,f1319]) ).
fof(f1319,plain,
( spl0_184
<=> ! [X0,X1] :
( ordered_by(X1,ax2_sk8(X1,X0),ax2_sk9(X1,X0))
| X0 = X1
| incident_o(ax2_sk8(X1,X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).
fof(f702,plain,
( spl0_99
<=> ! [X0,X1] :
( X0 = X1
| ordered_by(X1,ax2_sk8(X1,X0),ax2_sk9(X1,X0))
| ordered_by(X0,ax2_sk8(X1,X0),ax2_sk9(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f712,plain,
( ! [X0,X1] :
( ordered_by(X1,ax2_sk8(X1,X0),ax2_sk9(X1,X0))
| X0 = X1
| incident_o(ax2_sk8(X1,X0),X0) )
| ~ spl0_24
| ~ spl0_99 ),
inference(resolution,[],[f703,f238]) ).
fof(f703,plain,
( ! [X0,X1] :
( ordered_by(X1,ax2_sk8(X1,X0),ax2_sk9(X1,X0))
| ordered_by(X0,ax2_sk8(X1,X0),ax2_sk9(X1,X0))
| X0 = X1 )
| ~ spl0_99 ),
inference(avatar_component_clause,[],[f702]) ).
fof(f1317,plain,
( spl0_183
| ~ spl0_25
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f711,f702,f241,f1315]) ).
fof(f1315,plain,
( spl0_183
<=> ! [X0,X1] :
( ordered_by(X1,ax2_sk8(X1,X0),ax2_sk9(X1,X0))
| X0 = X1
| incident_o(ax2_sk9(X1,X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).
fof(f711,plain,
( ! [X0,X1] :
( ordered_by(X1,ax2_sk8(X1,X0),ax2_sk9(X1,X0))
| X0 = X1
| incident_o(ax2_sk9(X1,X0),X0) )
| ~ spl0_25
| ~ spl0_99 ),
inference(resolution,[],[f703,f242]) ).
fof(f1313,plain,
( spl0_182
| ~ spl0_24
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f710,f702,f237,f1311]) ).
fof(f1311,plain,
( spl0_182
<=> ! [X0,X1] :
( ordered_by(X1,ax2_sk8(X0,X1),ax2_sk9(X0,X1))
| X0 = X1
| incident_o(ax2_sk8(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).
fof(f710,plain,
( ! [X0,X1] :
( ordered_by(X1,ax2_sk8(X0,X1),ax2_sk9(X0,X1))
| X0 = X1
| incident_o(ax2_sk8(X0,X1),X0) )
| ~ spl0_24
| ~ spl0_99 ),
inference(resolution,[],[f703,f238]) ).
fof(f1309,plain,
( spl0_181
| ~ spl0_25
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f709,f702,f241,f1307]) ).
fof(f1307,plain,
( spl0_181
<=> ! [X0,X1] :
( ordered_by(X1,ax2_sk8(X0,X1),ax2_sk9(X0,X1))
| X0 = X1
| incident_o(ax2_sk9(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).
fof(f709,plain,
( ! [X0,X1] :
( ordered_by(X1,ax2_sk8(X0,X1),ax2_sk9(X0,X1))
| X0 = X1
| incident_o(ax2_sk9(X0,X1),X0) )
| ~ spl0_25
| ~ spl0_99 ),
inference(resolution,[],[f703,f242]) ).
fof(f1305,plain,
( spl0_180
| ~ spl0_65
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f593,f552,f454,f1303]) ).
fof(f1303,plain,
( spl0_180
<=> ! [X0,X1] :
( ~ incident_o(X0,X1)
| ax2_sk1(X1,X0) = X0
| ~ finish_point(ax2_sk1(X1,X0),X1)
| start_point(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).
fof(f454,plain,
( spl0_65
<=> ! [X0,X1] :
( ~ incident_o(X0,X1)
| start_point(X0,X1)
| ~ ordered_by(X1,X0,ax2_sk1(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f552,plain,
( spl0_84
<=> ! [X2,X0,X1] :
( ~ finish_point(X0,X1)
| ~ incident_o(X2,X1)
| X0 = X2
| ordered_by(X1,X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f593,plain,
( ! [X0,X1] :
( ~ incident_o(X0,X1)
| ax2_sk1(X1,X0) = X0
| ~ finish_point(ax2_sk1(X1,X0),X1)
| start_point(X0,X1) )
| ~ spl0_65
| ~ spl0_84 ),
inference(duplicate_literal_removal,[],[f591]) ).
fof(f591,plain,
( ! [X0,X1] :
( ~ incident_o(X0,X1)
| ax2_sk1(X1,X0) = X0
| ~ finish_point(ax2_sk1(X1,X0),X1)
| start_point(X0,X1)
| ~ incident_o(X0,X1) )
| ~ spl0_65
| ~ spl0_84 ),
inference(resolution,[],[f553,f455]) ).
fof(f455,plain,
( ! [X0,X1] :
( ~ ordered_by(X1,X0,ax2_sk1(X1,X0))
| start_point(X0,X1)
| ~ incident_o(X0,X1) )
| ~ spl0_65 ),
inference(avatar_component_clause,[],[f454]) ).
fof(f553,plain,
( ! [X2,X0,X1] :
( ordered_by(X1,X2,X0)
| ~ incident_o(X2,X1)
| X0 = X2
| ~ finish_point(X0,X1) )
| ~ spl0_84 ),
inference(avatar_component_clause,[],[f552]) ).
fof(f1299,plain,
( spl0_179
| ~ spl0_66
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f588,f548,f458,f1297]) ).
fof(f1297,plain,
( spl0_179
<=> ! [X0,X1] :
( ~ incident_o(X0,X1)
| ax2_sk2(X1,X0) = X0
| ~ start_point(ax2_sk2(X1,X0),X1)
| finish_point(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).
fof(f458,plain,
( spl0_66
<=> ! [X0,X1] :
( ~ incident_o(X0,X1)
| finish_point(X0,X1)
| ~ ordered_by(X1,ax2_sk2(X1,X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f548,plain,
( spl0_83
<=> ! [X2,X0,X1] :
( ~ start_point(X0,X1)
| ~ incident_o(X2,X1)
| X0 = X2
| ordered_by(X1,X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f588,plain,
( ! [X0,X1] :
( ~ incident_o(X0,X1)
| ax2_sk2(X1,X0) = X0
| ~ start_point(ax2_sk2(X1,X0),X1)
| finish_point(X0,X1) )
| ~ spl0_66
| ~ spl0_83 ),
inference(duplicate_literal_removal,[],[f587]) ).
fof(f587,plain,
( ! [X0,X1] :
( ~ incident_o(X0,X1)
| ax2_sk2(X1,X0) = X0
| ~ start_point(ax2_sk2(X1,X0),X1)
| finish_point(X0,X1)
| ~ incident_o(X0,X1) )
| ~ spl0_66
| ~ spl0_83 ),
inference(resolution,[],[f549,f459]) ).
fof(f459,plain,
( ! [X0,X1] :
( ~ ordered_by(X1,ax2_sk2(X1,X0),X0)
| finish_point(X0,X1)
| ~ incident_o(X0,X1) )
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f458]) ).
fof(f549,plain,
( ! [X2,X0,X1] :
( ordered_by(X1,X0,X2)
| ~ incident_o(X2,X1)
| X0 = X2
| ~ start_point(X0,X1) )
| ~ spl0_83 ),
inference(avatar_component_clause,[],[f548]) ).
fof(f1295,plain,
( spl0_178
| ~ spl0_29
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f574,f519,f258,f1293]) ).
fof(f1293,plain,
( spl0_178
<=> ! [X0,X1] :
( underlying_curve(X1) = X0
| ~ incident_c(ax0_sk13(X0,underlying_curve(X1)),X0)
| ~ incident_o(ax0_sk13(X0,underlying_curve(X1)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).
fof(f258,plain,
( spl0_29
<=> ! [X2,X1] :
( ~ incident_o(X2,X1)
| incident_c(X2,underlying_curve(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f574,plain,
( ! [X0,X1] :
( underlying_curve(X1) = X0
| ~ incident_c(ax0_sk13(X0,underlying_curve(X1)),X0)
| ~ incident_o(ax0_sk13(X0,underlying_curve(X1)),X1) )
| ~ spl0_29
| ~ spl0_76 ),
inference(resolution,[],[f520,f259]) ).
fof(f259,plain,
( ! [X2,X1] :
( incident_c(X2,underlying_curve(X1))
| ~ incident_o(X2,X1) )
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f258]) ).
fof(f1291,plain,
( spl0_177
| ~ spl0_27
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f573,f519,f250,f1289]) ).
fof(f1289,plain,
( spl0_177
<=> ! [X0,X1] :
( ax2_sk3(X1) = X0
| ~ incident_c(ax0_sk13(X0,ax2_sk3(X1)),X0)
| ~ incident_o(ax0_sk13(X0,ax2_sk3(X1)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).
fof(f250,plain,
( spl0_27
<=> ! [X0,X1] :
( ~ incident_o(X0,X1)
| incident_c(X0,ax2_sk3(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f573,plain,
( ! [X0,X1] :
( ax2_sk3(X1) = X0
| ~ incident_c(ax0_sk13(X0,ax2_sk3(X1)),X0)
| ~ incident_o(ax0_sk13(X0,ax2_sk3(X1)),X1) )
| ~ spl0_27
| ~ spl0_76 ),
inference(resolution,[],[f520,f251]) ).
fof(f251,plain,
( ! [X0,X1] :
( incident_c(X0,ax2_sk3(X1))
| ~ incident_o(X0,X1) )
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f1287,plain,
( spl0_176
| ~ spl0_30
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f567,f515,f262,f1285]) ).
fof(f1285,plain,
( spl0_176
<=> ! [X0,X1] :
( incident_c(ax0_sk13(underlying_curve(X0),X1),X1)
| underlying_curve(X0) = X1
| incident_o(ax0_sk13(underlying_curve(X0),X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).
fof(f567,plain,
( ! [X0,X1] :
( incident_c(ax0_sk13(underlying_curve(X0),X1),X1)
| underlying_curve(X0) = X1
| incident_o(ax0_sk13(underlying_curve(X0),X1),X0) )
| ~ spl0_30
| ~ spl0_75 ),
inference(resolution,[],[f516,f263]) ).
fof(f1283,plain,
( spl0_175
| ~ spl0_28
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f566,f515,f254,f1281]) ).
fof(f1281,plain,
( spl0_175
<=> ! [X0,X1] :
( incident_c(ax0_sk13(ax2_sk3(X0),X1),X1)
| ax2_sk3(X0) = X1
| incident_o(ax0_sk13(ax2_sk3(X0),X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).
fof(f566,plain,
( ! [X0,X1] :
( incident_c(ax0_sk13(ax2_sk3(X0),X1),X1)
| ax2_sk3(X0) = X1
| incident_o(ax0_sk13(ax2_sk3(X0),X1),X0) )
| ~ spl0_28
| ~ spl0_75 ),
inference(resolution,[],[f516,f255]) ).
fof(f1279,plain,
( spl0_174
| ~ spl0_43
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f564,f515,f336,f1277]) ).
fof(f1277,plain,
( spl0_174
<=> ! [X2,X0,X1] :
( incident_c(ax0_sk13(X0,X1),X1)
| X0 = X1
| ~ part_of(X0,X2)
| incident_c(ax0_sk13(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).
fof(f564,plain,
( ! [X2,X0,X1] :
( incident_c(ax0_sk13(X0,X1),X1)
| X0 = X1
| ~ part_of(X0,X2)
| incident_c(ax0_sk13(X0,X1),X2) )
| ~ spl0_43
| ~ spl0_75 ),
inference(resolution,[],[f516,f337]) ).
fof(f1275,plain,
( spl0_173
| ~ spl0_30
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f562,f515,f262,f1273]) ).
fof(f1273,plain,
( spl0_173
<=> ! [X0,X1] :
( incident_c(ax0_sk13(X0,underlying_curve(X1)),X0)
| underlying_curve(X1) = X0
| incident_o(ax0_sk13(X0,underlying_curve(X1)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).
fof(f562,plain,
( ! [X0,X1] :
( incident_c(ax0_sk13(X0,underlying_curve(X1)),X0)
| underlying_curve(X1) = X0
| incident_o(ax0_sk13(X0,underlying_curve(X1)),X1) )
| ~ spl0_30
| ~ spl0_75 ),
inference(resolution,[],[f516,f263]) ).
fof(f1271,plain,
( spl0_172
| ~ spl0_28
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f561,f515,f254,f1269]) ).
fof(f1269,plain,
( spl0_172
<=> ! [X0,X1] :
( incident_c(ax0_sk13(X0,ax2_sk3(X1)),X0)
| ax2_sk3(X1) = X0
| incident_o(ax0_sk13(X0,ax2_sk3(X1)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).
fof(f561,plain,
( ! [X0,X1] :
( incident_c(ax0_sk13(X0,ax2_sk3(X1)),X0)
| ax2_sk3(X1) = X0
| incident_o(ax0_sk13(X0,ax2_sk3(X1)),X1) )
| ~ spl0_28
| ~ spl0_75 ),
inference(resolution,[],[f516,f255]) ).
fof(f1267,plain,
( spl0_171
| ~ spl0_43
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f559,f515,f336,f1265]) ).
fof(f1265,plain,
( spl0_171
<=> ! [X2,X0,X1] :
( incident_c(ax0_sk13(X0,X1),X0)
| X0 = X1
| ~ part_of(X1,X2)
| incident_c(ax0_sk13(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).
fof(f559,plain,
( ! [X2,X0,X1] :
( incident_c(ax0_sk13(X0,X1),X0)
| X0 = X1
| ~ part_of(X1,X2)
| incident_c(ax0_sk13(X0,X1),X2) )
| ~ spl0_43
| ~ spl0_75 ),
inference(resolution,[],[f516,f337]) ).
fof(f1263,plain,
( spl0_170
| ~ spl0_45
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f496,f470,f354,f1261]) ).
fof(f1261,plain,
( spl0_170
<=> ! [X2,X0,X1] :
( once(at_the_same_time(X0,at_the_same_time(X1,at(X2,ax3_sk2(X2,at_the_same_time(X0,X1))))))
| ~ once(at_the_same_time(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).
fof(f354,plain,
( spl0_45
<=> ! [X0,X1] :
( ~ once(X0)
| once(at_the_same_time(X0,at(X1,ax3_sk2(X1,X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f470,plain,
( spl0_69
<=> ! [X2,X0,X1] :
( ~ once(at_the_same_time(at_the_same_time(X0,X1),X2))
| once(at_the_same_time(X0,at_the_same_time(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f496,plain,
( ! [X2,X0,X1] :
( once(at_the_same_time(X0,at_the_same_time(X1,at(X2,ax3_sk2(X2,at_the_same_time(X0,X1))))))
| ~ once(at_the_same_time(X0,X1)) )
| ~ spl0_45
| ~ spl0_69 ),
inference(resolution,[],[f471,f355]) ).
fof(f355,plain,
( ! [X0,X1] :
( once(at_the_same_time(X0,at(X1,ax3_sk2(X1,X0))))
| ~ once(X0) )
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f354]) ).
fof(f471,plain,
( ! [X2,X0,X1] :
( ~ once(at_the_same_time(at_the_same_time(X0,X1),X2))
| once(at_the_same_time(X0,at_the_same_time(X1,X2))) )
| ~ spl0_69 ),
inference(avatar_component_clause,[],[f470]) ).
fof(f1257,plain,
( spl0_169
| ~ spl0_44
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f418,f378,f340,f1255]) ).
fof(f1255,plain,
( spl0_169
<=> ! [X0,X1] :
( end_point(X0,X1)
| ~ incident_c(X0,X1)
| inner_point(X0,ax0_sk4(X1,X0))
| end_point(X0,ax0_sk4(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).
fof(f378,plain,
( spl0_50
<=> ! [X0,X1] :
( ~ incident_c(X0,X1)
| end_point(X0,X1)
| incident_c(X0,ax0_sk4(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f418,plain,
( ! [X0,X1] :
( end_point(X0,X1)
| ~ incident_c(X0,X1)
| inner_point(X0,ax0_sk4(X1,X0))
| end_point(X0,ax0_sk4(X1,X0)) )
| ~ spl0_44
| ~ spl0_50 ),
inference(resolution,[],[f379,f341]) ).
fof(f379,plain,
( ! [X0,X1] :
( incident_c(X0,ax0_sk4(X1,X0))
| end_point(X0,X1)
| ~ incident_c(X0,X1) )
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f378]) ).
fof(f1253,plain,
( spl0_168
| ~ spl0_44
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f416,f374,f340,f1251]) ).
fof(f1251,plain,
( spl0_168
<=> ! [X0,X1] :
( end_point(X0,X1)
| ~ incident_c(X0,X1)
| inner_point(X0,ax0_sk3(X1,X0))
| end_point(X0,ax0_sk3(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).
fof(f374,plain,
( spl0_49
<=> ! [X0,X1] :
( ~ incident_c(X0,X1)
| end_point(X0,X1)
| incident_c(X0,ax0_sk3(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f416,plain,
( ! [X0,X1] :
( end_point(X0,X1)
| ~ incident_c(X0,X1)
| inner_point(X0,ax0_sk3(X1,X0))
| end_point(X0,ax0_sk3(X1,X0)) )
| ~ spl0_44
| ~ spl0_49 ),
inference(resolution,[],[f375,f341]) ).
fof(f375,plain,
( ! [X0,X1] :
( incident_c(X0,ax0_sk3(X1,X0))
| end_point(X0,X1)
| ~ incident_c(X0,X1) )
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f374]) ).
fof(f1243,plain,
( spl0_167
| ~ spl0_39
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f424,f402,f305,f1241]) ).
fof(f1241,plain,
( spl0_167
<=> ! [X0,X1] :
( finish_point(X0,ax3_sk1(X1))
| ~ incident_o(X0,ax3_sk1(X1))
| once(at(X1,ax2_sk2(ax3_sk1(X1),X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).
fof(f402,plain,
( spl0_56
<=> ! [X0,X1] :
( ~ incident_o(X0,X1)
| finish_point(X0,X1)
| incident_o(ax2_sk2(X1,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f424,plain,
( ! [X0,X1] :
( finish_point(X0,ax3_sk1(X1))
| ~ incident_o(X0,ax3_sk1(X1))
| once(at(X1,ax2_sk2(ax3_sk1(X1),X0))) )
| ~ spl0_39
| ~ spl0_56 ),
inference(resolution,[],[f403,f306]) ).
fof(f403,plain,
( ! [X0,X1] :
( incident_o(ax2_sk2(X1,X0),X1)
| finish_point(X0,X1)
| ~ incident_o(X0,X1) )
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f402]) ).
fof(f1239,plain,
( spl0_166
| ~ spl0_39
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f423,f394,f305,f1237]) ).
fof(f1237,plain,
( spl0_166
<=> ! [X0,X1] :
( start_point(X0,ax3_sk1(X1))
| ~ incident_o(X0,ax3_sk1(X1))
| once(at(X1,ax2_sk1(ax3_sk1(X1),X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).
fof(f394,plain,
( spl0_54
<=> ! [X0,X1] :
( ~ incident_o(X0,X1)
| start_point(X0,X1)
| incident_o(ax2_sk1(X1,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f423,plain,
( ! [X0,X1] :
( start_point(X0,ax3_sk1(X1))
| ~ incident_o(X0,ax3_sk1(X1))
| once(at(X1,ax2_sk1(ax3_sk1(X1),X0))) )
| ~ spl0_39
| ~ spl0_54 ),
inference(resolution,[],[f395,f306]) ).
fof(f395,plain,
( ! [X0,X1] :
( incident_o(ax2_sk1(X1,X0),X1)
| start_point(X0,X1)
| ~ incident_o(X0,X1) )
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f394]) ).
fof(f1235,plain,
( spl0_165
| ~ spl0_34
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f415,f365,f285,f1233]) ).
fof(f1233,plain,
( spl0_165
<=> ! [X0,X1] :
( end_point(X0,X1)
| ~ incident_c(X0,X1)
| open(ax0_sk4(X1,X0))
| ax0_sk4(X1,X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).
fof(f285,plain,
( spl0_34
<=> ! [X0,X1] :
( open(X0)
| ~ part_of(X0,X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f365,plain,
( spl0_47
<=> ! [X0,X1] :
( ~ incident_c(X0,X1)
| end_point(X0,X1)
| part_of(ax0_sk4(X1,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f415,plain,
( ! [X0,X1] :
( end_point(X0,X1)
| ~ incident_c(X0,X1)
| open(ax0_sk4(X1,X0))
| ax0_sk4(X1,X0) = X1 )
| ~ spl0_34
| ~ spl0_47 ),
inference(resolution,[],[f366,f286]) ).
fof(f286,plain,
( ! [X0,X1] :
( ~ part_of(X0,X1)
| open(X0)
| X0 = X1 )
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f366,plain,
( ! [X0,X1] :
( part_of(ax0_sk4(X1,X0),X1)
| end_point(X0,X1)
| ~ incident_c(X0,X1) )
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f1231,plain,
( spl0_164
| ~ spl0_34
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f409,f361,f285,f1229]) ).
fof(f1229,plain,
( spl0_164
<=> ! [X0,X1] :
( end_point(X0,X1)
| ~ incident_c(X0,X1)
| open(ax0_sk3(X1,X0))
| ax0_sk3(X1,X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).
fof(f361,plain,
( spl0_46
<=> ! [X0,X1] :
( ~ incident_c(X0,X1)
| end_point(X0,X1)
| part_of(ax0_sk3(X1,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f409,plain,
( ! [X0,X1] :
( end_point(X0,X1)
| ~ incident_c(X0,X1)
| open(ax0_sk3(X1,X0))
| ax0_sk3(X1,X0) = X1 )
| ~ spl0_34
| ~ spl0_46 ),
inference(resolution,[],[f362,f286]) ).
fof(f362,plain,
( ! [X0,X1] :
( part_of(ax0_sk3(X1,X0),X1)
| end_point(X0,X1)
| ~ incident_c(X0,X1) )
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f361]) ).
fof(f1227,plain,
( spl0_163
| ~ spl0_96
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f955,f934,f682,f1224]) ).
fof(f1224,plain,
( spl0_163
<=> connect(sk29,sk29,sk27) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).
fof(f682,plain,
( spl0_96
<=> once(at(sk29,sk27)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f934,plain,
( spl0_130
<=> ! [X0,X1] :
( connect(X0,X0,X1)
| ~ once(at(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f955,plain,
( connect(sk29,sk29,sk27)
| ~ spl0_96
| ~ spl0_130 ),
inference(resolution,[],[f935,f684]) ).
fof(f684,plain,
( once(at(sk29,sk27))
| ~ spl0_96 ),
inference(avatar_component_clause,[],[f682]) ).
fof(f935,plain,
( ! [X0,X1] :
( ~ once(at(X0,X1))
| connect(X0,X0,X1) )
| ~ spl0_130 ),
inference(avatar_component_clause,[],[f934]) ).
fof(f1216,plain,
( spl0_162
| ~ spl0_43
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f419,f378,f336,f1214]) ).
fof(f1214,plain,
( spl0_162
<=> ! [X2,X0,X1] :
( end_point(X0,X1)
| ~ incident_c(X0,X1)
| ~ part_of(ax0_sk4(X1,X0),X2)
| incident_c(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).
fof(f419,plain,
( ! [X2,X0,X1] :
( end_point(X0,X1)
| ~ incident_c(X0,X1)
| ~ part_of(ax0_sk4(X1,X0),X2)
| incident_c(X0,X2) )
| ~ spl0_43
| ~ spl0_50 ),
inference(resolution,[],[f379,f337]) ).
fof(f1212,plain,
( spl0_161
| ~ spl0_43
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f417,f374,f336,f1210]) ).
fof(f1210,plain,
( spl0_161
<=> ! [X2,X0,X1] :
( end_point(X0,X1)
| ~ incident_c(X0,X1)
| ~ part_of(ax0_sk3(X1,X0),X2)
| incident_c(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).
fof(f417,plain,
( ! [X2,X0,X1] :
( end_point(X0,X1)
| ~ incident_c(X0,X1)
| ~ part_of(ax0_sk3(X1,X0),X2)
| incident_c(X0,X2) )
| ~ spl0_43
| ~ spl0_49 ),
inference(resolution,[],[f375,f337]) ).
fof(f1184,plain,
( spl0_160
| ~ spl0_32
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f352,f340,f277,f1182]) ).
fof(f1182,plain,
( spl0_160
<=> ! [X0,X1] :
( inner_point(ax0_sk1(X0,X1),X0)
| end_point(ax0_sk1(X0,X1),X0)
| part_of(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).
fof(f352,plain,
( ! [X0,X1] :
( inner_point(ax0_sk1(X0,X1),X0)
| end_point(ax0_sk1(X0,X1),X0)
| part_of(X0,X1) )
| ~ spl0_32
| ~ spl0_44 ),
inference(resolution,[],[f341,f278]) ).
fof(f1180,plain,
( spl0_159
| ~ spl0_40
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f351,f340,f309,f1178]) ).
fof(f1178,plain,
( spl0_159
<=> ! [X2,X0,X1] :
( inner_point(X0,sum(X1,X2))
| end_point(X0,sum(X1,X2))
| ~ incident_c(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).
fof(f351,plain,
( ! [X2,X0,X1] :
( inner_point(X0,sum(X1,X2))
| end_point(X0,sum(X1,X2))
| ~ incident_c(X0,X1) )
| ~ spl0_40
| ~ spl0_44 ),
inference(resolution,[],[f341,f310]) ).
fof(f1176,plain,
( spl0_158
| ~ spl0_41
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f350,f340,f313,f1174]) ).
fof(f1174,plain,
( spl0_158
<=> ! [X2,X0,X1] :
( inner_point(X0,sum(X1,X2))
| end_point(X0,sum(X1,X2))
| ~ incident_c(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).
fof(f350,plain,
( ! [X2,X0,X1] :
( inner_point(X0,sum(X1,X2))
| end_point(X0,sum(X1,X2))
| ~ incident_c(X0,X2) )
| ~ spl0_41
| ~ spl0_44 ),
inference(resolution,[],[f341,f314]) ).
fof(f1172,plain,
( spl0_157
| ~ spl0_91
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f953,f934,f633,f1169]) ).
fof(f1169,plain,
( spl0_157
<=> connect(sk28,sk28,sk27) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).
fof(f633,plain,
( spl0_91
<=> once(at(sk28,sk27)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f953,plain,
( connect(sk28,sk28,sk27)
| ~ spl0_91
| ~ spl0_130 ),
inference(resolution,[],[f935,f635]) ).
fof(f635,plain,
( once(at(sk28,sk27))
| ~ spl0_91 ),
inference(avatar_component_clause,[],[f633]) ).
fof(f1121,plain,
( spl0_156
| ~ spl0_18
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f497,f475,f200,f1119]) ).
fof(f1119,plain,
( spl0_156
<=> ! [X0,X1] :
( once(at_the_same_time(at_the_same_time(at_the_same_time(X0,X1),X0),X1))
| ~ once(at_the_same_time(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).
fof(f200,plain,
( spl0_18
<=> ! [X0] :
( ~ once(X0)
| once(at_the_same_time(X0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f475,plain,
( spl0_70
<=> ! [X2,X0,X1] :
( ~ once(at_the_same_time(X0,at_the_same_time(X1,X2)))
| once(at_the_same_time(at_the_same_time(X0,X1),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f497,plain,
( ! [X0,X1] :
( once(at_the_same_time(at_the_same_time(at_the_same_time(X0,X1),X0),X1))
| ~ once(at_the_same_time(X0,X1)) )
| ~ spl0_18
| ~ spl0_70 ),
inference(resolution,[],[f476,f201]) ).
fof(f201,plain,
( ! [X0] :
( once(at_the_same_time(X0,X0))
| ~ once(X0) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f476,plain,
( ! [X2,X0,X1] :
( ~ once(at_the_same_time(X0,at_the_same_time(X1,X2)))
| once(at_the_same_time(at_the_same_time(X0,X1),X2)) )
| ~ spl0_70 ),
inference(avatar_component_clause,[],[f475]) ).
fof(f1115,plain,
( spl0_155
| ~ spl0_18
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f495,f470,f200,f1113]) ).
fof(f1113,plain,
( spl0_155
<=> ! [X0,X1] :
( once(at_the_same_time(X0,at_the_same_time(X1,at_the_same_time(X0,X1))))
| ~ once(at_the_same_time(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).
fof(f495,plain,
( ! [X0,X1] :
( once(at_the_same_time(X0,at_the_same_time(X1,at_the_same_time(X0,X1))))
| ~ once(at_the_same_time(X0,X1)) )
| ~ spl0_18
| ~ spl0_69 ),
inference(resolution,[],[f471,f201]) ).
fof(f1111,plain,
( spl0_154
| ~ spl0_37
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f489,f462,f297,f1109]) ).
fof(f297,plain,
( spl0_37
<=> ! [X0,X1] :
( ~ once(at_the_same_time(X0,X1))
| once(at_the_same_time(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f489,plain,
( ! [X2,X0,X1] :
( ~ connect(X0,X1,X2)
| once(at_the_same_time(at(X1,X2),at(X0,X2))) )
| ~ spl0_37
| ~ spl0_67 ),
inference(resolution,[],[f463,f298]) ).
fof(f298,plain,
( ! [X0,X1] :
( ~ once(at_the_same_time(X0,X1))
| once(at_the_same_time(X1,X0)) )
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f1107,plain,
( spl0_153
| ~ spl0_12
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f488,f450,f176,f1105]) ).
fof(f1105,plain,
( spl0_153
<=> ! [X0,X3,X2,X1] :
( ~ between_c(X0,X1,X2,X3)
| incident_c(X2,ax1_sk1(X3,X2,X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).
fof(f176,plain,
( spl0_12
<=> ! [X0,X1] :
( ~ inner_point(X0,X1)
| incident_c(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f450,plain,
( spl0_64
<=> ! [X0,X3,X2,X1] :
( ~ between_c(X0,X1,X2,X3)
| inner_point(X2,ax1_sk1(X3,X2,X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f488,plain,
( ! [X2,X3,X0,X1] :
( ~ between_c(X0,X1,X2,X3)
| incident_c(X2,ax1_sk1(X3,X2,X1,X0)) )
| ~ spl0_12
| ~ spl0_64 ),
inference(resolution,[],[f451,f177]) ).
fof(f177,plain,
( ! [X0,X1] :
( ~ inner_point(X0,X1)
| incident_c(X0,X1) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f451,plain,
( ! [X2,X3,X0,X1] :
( inner_point(X2,ax1_sk1(X3,X2,X1,X0))
| ~ between_c(X0,X1,X2,X3) )
| ~ spl0_64 ),
inference(avatar_component_clause,[],[f450]) ).
fof(f1103,plain,
( spl0_152
| ~ spl0_13
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f487,f450,f180,f1101]) ).
fof(f1101,plain,
( spl0_152
<=> ! [X0,X3,X2,X1] :
( ~ between_c(X0,X1,X2,X3)
| ~ end_point(X2,ax1_sk1(X3,X2,X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).
fof(f180,plain,
( spl0_13
<=> ! [X0,X1] :
( ~ inner_point(X0,X1)
| ~ end_point(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f487,plain,
( ! [X2,X3,X0,X1] :
( ~ between_c(X0,X1,X2,X3)
| ~ end_point(X2,ax1_sk1(X3,X2,X1,X0)) )
| ~ spl0_13
| ~ spl0_64 ),
inference(resolution,[],[f451,f181]) ).
fof(f181,plain,
( ! [X0,X1] :
( ~ inner_point(X0,X1)
| ~ end_point(X0,X1) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f1099,plain,
( spl0_151
| ~ spl0_11
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f483,f446,f172,f1097]) ).
fof(f1097,plain,
( spl0_151
<=> ! [X0,X3,X2,X1] :
( ~ between_c(X0,X1,X2,X3)
| incident_c(X3,ax1_sk1(X3,X2,X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).
fof(f172,plain,
( spl0_11
<=> ! [X0,X1] :
( ~ end_point(X0,X1)
| incident_c(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f446,plain,
( spl0_63
<=> ! [X0,X3,X2,X1] :
( ~ between_c(X0,X1,X2,X3)
| end_point(X3,ax1_sk1(X3,X2,X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f483,plain,
( ! [X2,X3,X0,X1] :
( ~ between_c(X0,X1,X2,X3)
| incident_c(X3,ax1_sk1(X3,X2,X1,X0)) )
| ~ spl0_11
| ~ spl0_63 ),
inference(resolution,[],[f447,f173]) ).
fof(f173,plain,
( ! [X0,X1] :
( ~ end_point(X0,X1)
| incident_c(X0,X1) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f447,plain,
( ! [X2,X3,X0,X1] :
( end_point(X3,ax1_sk1(X3,X2,X1,X0))
| ~ between_c(X0,X1,X2,X3) )
| ~ spl0_63 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f1095,plain,
( spl0_150
| ~ spl0_11
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f480,f442,f172,f1093]) ).
fof(f1093,plain,
( spl0_150
<=> ! [X0,X3,X2,X1] :
( ~ between_c(X0,X1,X2,X3)
| incident_c(X1,ax1_sk1(X3,X2,X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
fof(f442,plain,
( spl0_62
<=> ! [X0,X3,X2,X1] :
( ~ between_c(X0,X1,X2,X3)
| end_point(X1,ax1_sk1(X3,X2,X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f480,plain,
( ! [X2,X3,X0,X1] :
( ~ between_c(X0,X1,X2,X3)
| incident_c(X1,ax1_sk1(X3,X2,X1,X0)) )
| ~ spl0_11
| ~ spl0_62 ),
inference(resolution,[],[f443,f173]) ).
fof(f443,plain,
( ! [X2,X3,X0,X1] :
( end_point(X1,ax1_sk1(X3,X2,X1,X0))
| ~ between_c(X0,X1,X2,X3) )
| ~ spl0_62 ),
inference(avatar_component_clause,[],[f442]) ).
fof(f1091,plain,
( spl0_149
| ~ spl0_33
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f334,f313,f281,f1089]) ).
fof(f1089,plain,
( spl0_149
<=> ! [X2,X0,X1] :
( ~ incident_c(ax0_sk1(X0,sum(X1,X2)),X2)
| part_of(X0,sum(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).
fof(f281,plain,
( spl0_33
<=> ! [X0,X1] :
( part_of(X0,X1)
| ~ incident_c(ax0_sk1(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f334,plain,
( ! [X2,X0,X1] :
( ~ incident_c(ax0_sk1(X0,sum(X1,X2)),X2)
| part_of(X0,sum(X1,X2)) )
| ~ spl0_33
| ~ spl0_41 ),
inference(resolution,[],[f314,f282]) ).
fof(f282,plain,
( ! [X0,X1] :
( ~ incident_c(ax0_sk1(X0,X1),X1)
| part_of(X0,X1) )
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f1087,plain,
( spl0_148
| ~ spl0_33
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f333,f309,f281,f1085]) ).
fof(f1085,plain,
( spl0_148
<=> ! [X2,X0,X1] :
( ~ incident_c(ax0_sk1(X0,sum(X1,X2)),X1)
| part_of(X0,sum(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).
fof(f333,plain,
( ! [X2,X0,X1] :
( ~ incident_c(ax0_sk1(X0,sum(X1,X2)),X1)
| part_of(X0,sum(X1,X2)) )
| ~ spl0_33
| ~ spl0_40 ),
inference(resolution,[],[f310,f282]) ).
fof(f1048,plain,
( spl0_147
| ~ spl0_8
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f482,f442,f160,f1046]) ).
fof(f1046,plain,
( spl0_147
<=> ! [X0,X3,X2,X1] :
( ~ between_c(X0,X1,X2,X3)
| ~ closed(ax1_sk1(X3,X2,X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).
fof(f160,plain,
( spl0_8
<=> ! [X0,X1] :
( ~ closed(X0)
| ~ end_point(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f482,plain,
( ! [X2,X3,X0,X1] :
( ~ between_c(X0,X1,X2,X3)
| ~ closed(ax1_sk1(X3,X2,X1,X0)) )
| ~ spl0_8
| ~ spl0_62 ),
inference(resolution,[],[f443,f161]) ).
fof(f161,plain,
( ! [X0,X1] :
( ~ end_point(X1,X0)
| ~ closed(X0) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f1044,plain,
( spl0_146
| ~ spl0_9
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f481,f442,f164,f1042]) ).
fof(f1042,plain,
( spl0_146
<=> ! [X0,X3,X2,X1] :
( ~ between_c(X0,X1,X2,X3)
| open(ax1_sk1(X3,X2,X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).
fof(f164,plain,
( spl0_9
<=> ! [X0,X1] :
( open(X1)
| ~ end_point(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f481,plain,
( ! [X2,X3,X0,X1] :
( ~ between_c(X0,X1,X2,X3)
| open(ax1_sk1(X3,X2,X1,X0)) )
| ~ spl0_9
| ~ spl0_62 ),
inference(resolution,[],[f443,f165]) ).
fof(f165,plain,
( ! [X0,X1] :
( ~ end_point(X0,X1)
| open(X1) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f1040,plain,
( spl0_145
| ~ spl0_6
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f478,f434,f152,f1038]) ).
fof(f1038,plain,
( spl0_145
<=> ! [X0] : sum(ax0_sk9(ax0_sk8(X0),X0),ax0_sk10(ax0_sk8(X0),X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).
fof(f434,plain,
( spl0_60
<=> ! [X0,X1] :
( ~ inner_point(X0,X1)
| sum(ax0_sk9(X0,X1),ax0_sk10(X0,X1)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f478,plain,
( ! [X0] : sum(ax0_sk9(ax0_sk8(X0),X0),ax0_sk10(ax0_sk8(X0),X0)) = X0
| ~ spl0_6
| ~ spl0_60 ),
inference(resolution,[],[f435,f153]) ).
fof(f435,plain,
( ! [X0,X1] :
( ~ inner_point(X0,X1)
| sum(ax0_sk9(X0,X1),ax0_sk10(X0,X1)) = X1 )
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f434]) ).
fof(f1036,plain,
( spl0_144
| ~ spl0_29
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f349,f340,f258,f1034]) ).
fof(f1034,plain,
( spl0_144
<=> ! [X0,X1] :
( inner_point(X0,underlying_curve(X1))
| end_point(X0,underlying_curve(X1))
| ~ incident_o(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).
fof(f349,plain,
( ! [X0,X1] :
( inner_point(X0,underlying_curve(X1))
| end_point(X0,underlying_curve(X1))
| ~ incident_o(X0,X1) )
| ~ spl0_29
| ~ spl0_44 ),
inference(resolution,[],[f341,f259]) ).
fof(f1032,plain,
( spl0_143
| ~ spl0_31
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f954,f934,f271,f1029]) ).
fof(f1029,plain,
( spl0_143
<=> connect(sk29,sk29,sk31) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).
fof(f271,plain,
( spl0_31
<=> once(at(sk29,sk31)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f954,plain,
( connect(sk29,sk29,sk31)
| ~ spl0_31
| ~ spl0_130 ),
inference(resolution,[],[f935,f273]) ).
fof(f273,plain,
( once(at(sk29,sk31))
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f1027,plain,
( spl0_142
| ~ spl0_27
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f348,f340,f250,f1025]) ).
fof(f1025,plain,
( spl0_142
<=> ! [X0,X1] :
( inner_point(X0,ax2_sk3(X1))
| end_point(X0,ax2_sk3(X1))
| ~ incident_o(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
fof(f348,plain,
( ! [X0,X1] :
( inner_point(X0,ax2_sk3(X1))
| end_point(X0,ax2_sk3(X1))
| ~ incident_o(X0,X1) )
| ~ spl0_27
| ~ spl0_44 ),
inference(resolution,[],[f341,f251]) ).
fof(f1023,plain,
( spl0_141
| ~ spl0_32
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f347,f336,f277,f1021]) ).
fof(f1021,plain,
( spl0_141
<=> ! [X2,X0,X1] :
( ~ part_of(X0,X1)
| incident_c(ax0_sk1(X0,X2),X1)
| part_of(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).
fof(f347,plain,
( ! [X2,X0,X1] :
( ~ part_of(X0,X1)
| incident_c(ax0_sk1(X0,X2),X1)
| part_of(X0,X2) )
| ~ spl0_32
| ~ spl0_43 ),
inference(resolution,[],[f337,f278]) ).
fof(f1019,plain,
( spl0_140
| ~ spl0_40
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f346,f336,f309,f1017]) ).
fof(f1017,plain,
( spl0_140
<=> ! [X0,X3,X2,X1] :
( ~ part_of(sum(X0,X1),X2)
| incident_c(X3,X2)
| ~ incident_c(X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
fof(f346,plain,
( ! [X2,X3,X0,X1] :
( ~ part_of(sum(X0,X1),X2)
| incident_c(X3,X2)
| ~ incident_c(X3,X0) )
| ~ spl0_40
| ~ spl0_43 ),
inference(resolution,[],[f337,f310]) ).
fof(f1015,plain,
( spl0_139
| ~ spl0_41
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f345,f336,f313,f1013]) ).
fof(f1013,plain,
( spl0_139
<=> ! [X0,X3,X2,X1] :
( ~ part_of(sum(X0,X1),X2)
| incident_c(X3,X2)
| ~ incident_c(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).
fof(f345,plain,
( ! [X2,X3,X0,X1] :
( ~ part_of(sum(X0,X1),X2)
| incident_c(X3,X2)
| ~ incident_c(X3,X1) )
| ~ spl0_41
| ~ spl0_43 ),
inference(resolution,[],[f337,f314]) ).
fof(f991,plain,
( spl0_138
| ~ spl0_26
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f952,f934,f245,f988]) ).
fof(f988,plain,
( spl0_138
<=> connect(sk28,sk28,sk30) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f245,plain,
( spl0_26
<=> once(at(sk28,sk30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f952,plain,
( connect(sk28,sk28,sk30)
| ~ spl0_26
| ~ spl0_130 ),
inference(resolution,[],[f935,f247]) ).
fof(f247,plain,
( once(at(sk28,sk30))
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f984,plain,
( spl0_137
| ~ spl0_37
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f357,f354,f297,f982]) ).
fof(f982,plain,
( spl0_137
<=> ! [X0,X1] :
( ~ once(X0)
| once(at_the_same_time(at(X1,ax3_sk2(X1,X0)),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f357,plain,
( ! [X0,X1] :
( ~ once(X0)
| once(at_the_same_time(at(X1,ax3_sk2(X1,X0)),X0)) )
| ~ spl0_37
| ~ spl0_45 ),
inference(resolution,[],[f355,f298]) ).
fof(f980,plain,
( spl0_136
| ~ spl0_29
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f344,f336,f258,f978]) ).
fof(f978,plain,
( spl0_136
<=> ! [X2,X0,X1] :
( ~ part_of(underlying_curve(X0),X1)
| incident_c(X2,X1)
| ~ incident_o(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
fof(f344,plain,
( ! [X2,X0,X1] :
( ~ part_of(underlying_curve(X0),X1)
| incident_c(X2,X1)
| ~ incident_o(X2,X0) )
| ~ spl0_29
| ~ spl0_43 ),
inference(resolution,[],[f337,f259]) ).
fof(f976,plain,
( spl0_135
| ~ spl0_27
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f343,f336,f250,f974]) ).
fof(f974,plain,
( spl0_135
<=> ! [X2,X0,X1] :
( ~ part_of(ax2_sk3(X0),X1)
| incident_c(X2,X1)
| ~ incident_o(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
fof(f343,plain,
( ! [X2,X0,X1] :
( ~ part_of(ax2_sk3(X0),X1)
| incident_c(X2,X1)
| ~ incident_o(X2,X0) )
| ~ spl0_27
| ~ spl0_43 ),
inference(resolution,[],[f337,f251]) ).
fof(f972,plain,
( spl0_134
| ~ spl0_29
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f320,f281,f258,f970]) ).
fof(f970,plain,
( spl0_134
<=> ! [X0,X1] :
( part_of(X0,underlying_curve(X1))
| ~ incident_o(ax0_sk1(X0,underlying_curve(X1)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).
fof(f320,plain,
( ! [X0,X1] :
( part_of(X0,underlying_curve(X1))
| ~ incident_o(ax0_sk1(X0,underlying_curve(X1)),X1) )
| ~ spl0_29
| ~ spl0_33 ),
inference(resolution,[],[f282,f259]) ).
fof(f968,plain,
( spl0_133
| ~ spl0_27
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f319,f281,f250,f966]) ).
fof(f966,plain,
( spl0_133
<=> ! [X0,X1] :
( part_of(X0,ax2_sk3(X1))
| ~ incident_o(ax0_sk1(X0,ax2_sk3(X1)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).
fof(f319,plain,
( ! [X0,X1] :
( part_of(X0,ax2_sk3(X1))
| ~ incident_o(ax0_sk1(X0,ax2_sk3(X1)),X1) )
| ~ spl0_27
| ~ spl0_33 ),
inference(resolution,[],[f282,f251]) ).
fof(f964,plain,
( spl0_132
| ~ spl0_30
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f317,f277,f262,f962]) ).
fof(f962,plain,
( spl0_132
<=> ! [X0,X1] :
( part_of(underlying_curve(X0),X1)
| incident_o(ax0_sk1(underlying_curve(X0),X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
fof(f317,plain,
( ! [X0,X1] :
( part_of(underlying_curve(X0),X1)
| incident_o(ax0_sk1(underlying_curve(X0),X1),X0) )
| ~ spl0_30
| ~ spl0_32 ),
inference(resolution,[],[f278,f263]) ).
fof(f960,plain,
( spl0_131
| ~ spl0_28
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f316,f277,f254,f958]) ).
fof(f958,plain,
( spl0_131
<=> ! [X0,X1] :
( part_of(ax2_sk3(X0),X1)
| incident_o(ax0_sk1(ax2_sk3(X0),X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f316,plain,
( ! [X0,X1] :
( part_of(ax2_sk3(X0),X1)
| incident_o(ax0_sk1(ax2_sk3(X0),X1),X0) )
| ~ spl0_28
| ~ spl0_32 ),
inference(resolution,[],[f278,f255]) ).
fof(f936,plain,
( spl0_130
| ~ spl0_18
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f493,f466,f200,f934]) ).
fof(f466,plain,
( spl0_68
<=> ! [X2,X0,X1] :
( connect(X0,X2,X1)
| ~ once(at_the_same_time(at(X0,X1),at(X2,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f493,plain,
( ! [X0,X1] :
( connect(X0,X0,X1)
| ~ once(at(X0,X1)) )
| ~ spl0_18
| ~ spl0_68 ),
inference(resolution,[],[f467,f201]) ).
fof(f467,plain,
( ! [X2,X0,X1] :
( ~ once(at_the_same_time(at(X0,X1),at(X2,X1)))
| connect(X0,X2,X1) )
| ~ spl0_68 ),
inference(avatar_component_clause,[],[f466]) ).
fof(f932,plain,
( spl0_129
| ~ spl0_19
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f491,f462,f204,f930]) ).
fof(f930,plain,
( spl0_129
<=> ! [X2,X0,X1] :
( ~ connect(X0,X1,X2)
| once(at(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
fof(f204,plain,
( spl0_19
<=> ! [X0,X1] :
( once(X0)
| ~ once(at_the_same_time(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f491,plain,
( ! [X2,X0,X1] :
( ~ connect(X0,X1,X2)
| once(at(X0,X2)) )
| ~ spl0_19
| ~ spl0_67 ),
inference(resolution,[],[f463,f205]) ).
fof(f205,plain,
( ! [X0,X1] :
( ~ once(at_the_same_time(X0,X1))
| once(X0) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f928,plain,
( spl0_128
| ~ spl0_20
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f490,f462,f208,f926]) ).
fof(f926,plain,
( spl0_128
<=> ! [X2,X0,X1] :
( ~ connect(X0,X1,X2)
| once(at(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
fof(f208,plain,
( spl0_20
<=> ! [X0,X1] :
( once(X1)
| ~ once(at_the_same_time(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f490,plain,
( ! [X2,X0,X1] :
( ~ connect(X0,X1,X2)
| once(at(X1,X2)) )
| ~ spl0_20
| ~ spl0_67 ),
inference(resolution,[],[f463,f209]) ).
fof(f209,plain,
( ! [X0,X1] :
( ~ once(at_the_same_time(X0,X1))
| once(X1) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f208]) ).
fof(f924,plain,
( spl0_127
| ~ spl0_22
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f421,f382,f229,f922]) ).
fof(f922,plain,
( spl0_127
<=> ! [X0,X1] :
( ~ inner_point(X0,X1)
| incident_c(X0,ax0_sk9(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f229,plain,
( spl0_22
<=> ! [X2,X0,X1] :
( incident_c(X0,X1)
| ~ meet(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f421,plain,
( ! [X0,X1] :
( ~ inner_point(X0,X1)
| incident_c(X0,ax0_sk9(X0,X1)) )
| ~ spl0_22
| ~ spl0_51 ),
inference(resolution,[],[f383,f230]) ).
fof(f230,plain,
( ! [X2,X0,X1] :
( ~ meet(X0,X1,X2)
| incident_c(X0,X1) )
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f229]) ).
fof(f920,plain,
( spl0_126
| ~ spl0_23
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f420,f382,f233,f918]) ).
fof(f918,plain,
( spl0_126
<=> ! [X0,X1] :
( ~ inner_point(X0,X1)
| incident_c(X0,ax0_sk10(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f233,plain,
( spl0_23
<=> ! [X2,X0,X1] :
( incident_c(X0,X2)
| ~ meet(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f420,plain,
( ! [X0,X1] :
( ~ inner_point(X0,X1)
| incident_c(X0,ax0_sk10(X0,X1)) )
| ~ spl0_23
| ~ spl0_51 ),
inference(resolution,[],[f383,f234]) ).
fof(f234,plain,
( ! [X2,X0,X1] :
( ~ meet(X0,X1,X2)
| incident_c(X0,X2) )
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f916,plain,
( ~ spl0_124
| ~ spl0_125
| ~ spl0_4
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f871,f868,f143,f913,f909]) ).
fof(f909,plain,
( spl0_124
<=> ordered_by(ax3_sk1(sk28),sk30,sk30) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f913,plain,
( spl0_125
<=> ordered_by(ax3_sk1(sk29),sk31,sk31) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f143,plain,
( spl0_4
<=> once(at_the_same_time(at(sk28,sk30),at(sk29,sk31))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f871,plain,
( ~ ordered_by(ax3_sk1(sk29),sk31,sk31)
| ~ ordered_by(ax3_sk1(sk28),sk30,sk30)
| ~ spl0_4
| ~ spl0_118 ),
inference(resolution,[],[f869,f145]) ).
fof(f145,plain,
( once(at_the_same_time(at(sk28,sk30),at(sk29,sk31)))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f907,plain,
( spl0_123
| ~ spl0_20
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f358,f354,f208,f905]) ).
fof(f905,plain,
( spl0_123
<=> ! [X0,X1] :
( ~ once(X0)
| once(at(X1,ax3_sk2(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f358,plain,
( ! [X0,X1] :
( ~ once(X0)
| once(at(X1,ax3_sk2(X1,X0))) )
| ~ spl0_20
| ~ spl0_45 ),
inference(resolution,[],[f355,f209]) ).
fof(f903,plain,
( spl0_122
| ~ spl0_11
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f322,f289,f172,f901]) ).
fof(f901,plain,
( spl0_122
<=> ! [X0,X1] :
( ~ end_point(X0,X1)
| incident_c(ax0_sk11(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f289,plain,
( spl0_35
<=> ! [X0,X1] :
( ~ end_point(X0,X1)
| end_point(ax0_sk11(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f322,plain,
( ! [X0,X1] :
( ~ end_point(X0,X1)
| incident_c(ax0_sk11(X0,X1),X1) )
| ~ spl0_11
| ~ spl0_35 ),
inference(resolution,[],[f290,f173]) ).
fof(f290,plain,
( ! [X0,X1] :
( end_point(ax0_sk11(X0,X1),X1)
| ~ end_point(X0,X1) )
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f887,plain,
( spl0_121
| ~ spl0_11
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f220,f188,f172,f885]) ).
fof(f885,plain,
( spl0_121
<=> ! [X0] :
( ~ open(X0)
| incident_c(ax0_sk7(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f188,plain,
( spl0_15
<=> ! [X0] :
( ~ open(X0)
| end_point(ax0_sk7(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f220,plain,
( ! [X0] :
( ~ open(X0)
| incident_c(ax0_sk7(X0),X0) )
| ~ spl0_11
| ~ spl0_15 ),
inference(resolution,[],[f189,f173]) ).
fof(f189,plain,
( ! [X0] :
( end_point(ax0_sk7(X0),X0)
| ~ open(X0) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f883,plain,
( spl0_120
| ~ spl0_11
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f213,f184,f172,f881]) ).
fof(f881,plain,
( spl0_120
<=> ! [X0] :
( closed(X0)
| incident_c(ax0_sk6(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f184,plain,
( spl0_14
<=> ! [X0] :
( closed(X0)
| end_point(ax0_sk6(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f213,plain,
( ! [X0] :
( closed(X0)
| incident_c(ax0_sk6(X0),X0) )
| ~ spl0_11
| ~ spl0_14 ),
inference(resolution,[],[f185,f173]) ).
fof(f185,plain,
( ! [X0] :
( end_point(ax0_sk6(X0),X0)
| closed(X0) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f877,plain,
( spl0_119
| ~ spl0_10
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f607,f596,f168,f875]) ).
fof(f875,plain,
( spl0_119
<=> ! [X2,X0,X1] : ~ between_o(X0,X1,X2,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f168,plain,
( spl0_10
<=> ! [X2,X0,X3] : ~ between_c(X0,X3,X2,X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f596,plain,
( spl0_85
<=> ! [X0,X3,X2,X1] :
( ~ between_o(X0,X1,X2,X3)
| between_c(ax2_sk4(X0,X3,X2,X1),X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f607,plain,
( ! [X2,X0,X1] : ~ between_o(X0,X1,X2,X1)
| ~ spl0_10
| ~ spl0_85 ),
inference(resolution,[],[f597,f169]) ).
fof(f169,plain,
( ! [X2,X3,X0] : ~ between_c(X0,X3,X2,X3)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f597,plain,
( ! [X2,X3,X0,X1] :
( between_c(ax2_sk4(X0,X3,X2,X1),X1,X2,X3)
| ~ between_o(X0,X1,X2,X3) )
| ~ spl0_85 ),
inference(avatar_component_clause,[],[f596]) ).
fof(f870,plain,
( spl0_118
| ~ spl0_4
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f810,f796,f143,f868]) ).
fof(f796,plain,
( spl0_109
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ ordered_by(ax3_sk1(X2),X5,X3)
| ~ ordered_by(ax3_sk1(X0),X1,X4)
| ~ once(at_the_same_time(at(X0,X4),at(X2,X5)))
| ~ once(at_the_same_time(at(X0,X1),at(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f810,plain,
( ! [X0,X1] :
( ~ ordered_by(ax3_sk1(sk28),X0,sk30)
| ~ ordered_by(ax3_sk1(sk29),sk31,X1)
| ~ once(at_the_same_time(at(sk28,X0),at(sk29,X1))) )
| ~ spl0_4
| ~ spl0_109 ),
inference(resolution,[],[f797,f145]) ).
fof(f797,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ once(at_the_same_time(at(X0,X4),at(X2,X5)))
| ~ ordered_by(ax3_sk1(X0),X1,X4)
| ~ ordered_by(ax3_sk1(X2),X5,X3)
| ~ once(at_the_same_time(at(X0,X1),at(X2,X3))) )
| ~ spl0_109 ),
inference(avatar_component_clause,[],[f796]) ).
fof(f866,plain,
( spl0_117
| ~ spl0_5
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f859,f852,f148,f864]) ).
fof(f864,plain,
( spl0_117
<=> ! [X0] : ~ closed(ax2_sk3(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f148,plain,
( spl0_5
<=> ! [X0] : open(ax2_sk3(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f852,plain,
( spl0_115
<=> ! [X0] :
( ~ open(X0)
| ~ closed(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f859,plain,
( ! [X0] : ~ closed(ax2_sk3(X0))
| ~ spl0_5
| ~ spl0_115 ),
inference(resolution,[],[f853,f149]) ).
fof(f149,plain,
( ! [X0] : open(ax2_sk3(X0))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f853,plain,
( ! [X0] :
( ~ open(X0)
| ~ closed(X0) )
| ~ spl0_115 ),
inference(avatar_component_clause,[],[f852]) ).
fof(f858,plain,
( spl0_116
| ~ spl0_7
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f223,f192,f156,f856]) ).
fof(f856,plain,
( spl0_116
<=> ! [X0] : incident_o(ax2_sk6(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f156,plain,
( spl0_7
<=> ! [X0] : start_point(ax2_sk6(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f192,plain,
( spl0_16
<=> ! [X0,X1] :
( ~ start_point(X0,X1)
| incident_o(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f223,plain,
( ! [X0] : incident_o(ax2_sk6(X0),X0)
| ~ spl0_7
| ~ spl0_16 ),
inference(resolution,[],[f193,f157]) ).
fof(f157,plain,
( ! [X0] : start_point(ax2_sk6(X0),X0)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f193,plain,
( ! [X0,X1] :
( ~ start_point(X0,X1)
| incident_o(X0,X1) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f854,plain,
( spl0_115
| ~ spl0_8
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f222,f188,f160,f852]) ).
fof(f222,plain,
( ! [X0] :
( ~ open(X0)
| ~ closed(X0) )
| ~ spl0_8
| ~ spl0_15 ),
inference(resolution,[],[f189,f161]) ).
fof(f844,plain,
( spl0_114
| ~ spl0_9
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f214,f184,f164,f842]) ).
fof(f842,plain,
( spl0_114
<=> ! [X0] :
( closed(X0)
| open(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f214,plain,
( ! [X0] :
( closed(X0)
| open(X0) )
| ~ spl0_9
| ~ spl0_14 ),
inference(resolution,[],[f185,f165]) ).
fof(f840,plain,
( spl0_113
| ~ spl0_6
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f212,f180,f152,f838]) ).
fof(f838,plain,
( spl0_113
<=> ! [X0] : ~ end_point(ax0_sk8(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f212,plain,
( ! [X0] : ~ end_point(ax0_sk8(X0),X0)
| ~ spl0_6
| ~ spl0_13 ),
inference(resolution,[],[f181,f153]) ).
fof(f835,plain,
( spl0_112
| ~ spl0_32
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f321,f281,f277,f833]) ).
fof(f833,plain,
( spl0_112
<=> ! [X0] : part_of(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f321,plain,
( ! [X0] : part_of(X0,X0)
| ~ spl0_32
| ~ spl0_33 ),
inference(duplicate_literal_removal,[],[f318]) ).
fof(f318,plain,
( ! [X0] :
( part_of(X0,X0)
| part_of(X0,X0) )
| ~ spl0_32
| ~ spl0_33 ),
inference(resolution,[],[f282,f278]) ).
fof(f827,plain,
( spl0_111
| ~ spl0_4
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f325,f297,f143,f824]) ).
fof(f824,plain,
( spl0_111
<=> once(at_the_same_time(at(sk29,sk31),at(sk28,sk30))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f325,plain,
( once(at_the_same_time(at(sk29,sk31),at(sk28,sk30)))
| ~ spl0_4
| ~ spl0_37 ),
inference(resolution,[],[f298,f145]) ).
fof(f817,plain,
spl0_110,
inference(avatar_split_clause,[],[f36,f815]) ).
fof(f815,plain,
( spl0_110
<=> ! [X4,X0,X3,X2,X1] :
( ~ part_of(X2,X1)
| ~ part_of(X3,X1)
| ~ part_of(X0,X1)
| ~ end_point(X4,X0)
| ~ end_point(X4,X3)
| ~ end_point(X4,X2)
| part_of(X3,X2)
| part_of(X2,X0)
| part_of(X0,X3)
| part_of(X3,X0)
| part_of(X0,X2)
| part_of(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f36,axiom,
! [X2,X3,X0,X1,X4] :
( ~ part_of(X2,X1)
| ~ part_of(X3,X1)
| ~ part_of(X0,X1)
| ~ end_point(X4,X0)
| ~ end_point(X4,X3)
| ~ end_point(X4,X2)
| part_of(X3,X2)
| part_of(X2,X0)
| part_of(X0,X3)
| part_of(X3,X0)
| part_of(X0,X2)
| part_of(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c2_36) ).
fof(f798,plain,
spl0_109,
inference(avatar_split_clause,[],[f119,f796]) ).
fof(f119,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ ordered_by(ax3_sk1(X2),X5,X3)
| ~ ordered_by(ax3_sk1(X0),X1,X4)
| ~ once(at_the_same_time(at(X0,X4),at(X2,X5)))
| ~ once(at_the_same_time(at(X0,X1),at(X2,X3))) ),
inference(definition_unfolding,[],[f109,f108,f108]) ).
fof(f108,axiom,
! [X0] : trajectory_of(X0) = ax3_sk1(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',trajectories_are_oriented_curves_12) ).
fof(f109,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ ordered_by(trajectory_of(X2),X5,X3)
| ~ ordered_by(trajectory_of(X0),X1,X4)
| ~ once(at_the_same_time(at(X0,X4),at(X2,X5)))
| ~ once(at_the_same_time(at(X0,X1),at(X2,X3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',homogeneous_behaviour_13) ).
fof(f794,plain,
spl0_108,
inference(avatar_split_clause,[],[f82,f792]) ).
fof(f792,plain,
( spl0_108
<=> ! [X4,X0,X3,X2,X1] :
( ~ between_c(X0,X4,X3,X2)
| between_o(X1,X4,X3,X2)
| ~ incident_o(ax2_sk5(X0,X1,X2,X3,X4),X1)
| ~ incident_c(ax2_sk5(X0,X1,X2,X3,X4),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f82,axiom,
! [X2,X3,X0,X1,X4] :
( ~ between_c(X0,X4,X3,X2)
| between_o(X1,X4,X3,X2)
| ~ incident_o(ax2_sk5(X0,X1,X2,X3,X4),X1)
| ~ incident_c(ax2_sk5(X0,X1,X2,X3,X4),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',o3_28) ).
fof(f790,plain,
spl0_107,
inference(avatar_split_clause,[],[f79,f788]) ).
fof(f788,plain,
( spl0_107
<=> ! [X4,X0,X3,X2,X1] :
( ~ between_c(X0,X4,X3,X2)
| between_o(X1,X4,X3,X2)
| incident_o(ax2_sk5(X0,X1,X2,X3,X4),X1)
| incident_c(ax2_sk5(X0,X1,X2,X3,X4),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f79,axiom,
! [X2,X3,X0,X1,X4] :
( ~ between_c(X0,X4,X3,X2)
| between_o(X1,X4,X3,X2)
| incident_o(ax2_sk5(X0,X1,X2,X3,X4),X1)
| incident_c(ax2_sk5(X0,X1,X2,X3,X4),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',o3_25) ).
fof(f756,plain,
spl0_106,
inference(avatar_split_clause,[],[f7,f754]) ).
fof(f7,axiom,
! [X2,X0,X1] :
( sum(X1,X0) = X2
| incident_c(ax0_sk2(X0,X1,X2),X0)
| incident_c(ax0_sk2(X0,X1,X2),X1)
| incident_c(ax0_sk2(X0,X1,X2),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_defn_7) ).
fof(f752,plain,
spl0_105,
inference(avatar_split_clause,[],[f30,f750]) ).
fof(f750,plain,
( spl0_105
<=> ! [X2,X0,X1] :
( ~ incident_c(X0,X1)
| ~ incident_c(X0,X2)
| meet(X0,X1,X2)
| ~ end_point(ax0_sk5(X2,X1,X0),X2)
| ~ end_point(ax0_sk5(X2,X1,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f30,axiom,
! [X2,X0,X1] :
( ~ incident_c(X0,X1)
| ~ incident_c(X0,X2)
| meet(X0,X1,X2)
| ~ end_point(ax0_sk5(X2,X1,X0),X2)
| ~ end_point(ax0_sk5(X2,X1,X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_defn_30) ).
fof(f743,plain,
spl0_104,
inference(avatar_split_clause,[],[f14,f741]) ).
fof(f741,plain,
( spl0_104
<=> ! [X0,X3,X2,X1] :
( ~ part_of(X3,X1)
| ~ part_of(X2,X1)
| ~ end_point(X0,X1)
| ~ incident_c(X0,X3)
| ~ incident_c(X0,X2)
| part_of(X2,X3)
| part_of(X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f14,axiom,
! [X2,X3,X0,X1] :
( ~ part_of(X3,X1)
| ~ part_of(X2,X1)
| ~ end_point(X0,X1)
| ~ incident_c(X0,X3)
| ~ incident_c(X0,X2)
| part_of(X2,X3)
| part_of(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',end_point_defn_14) ).
fof(f731,plain,
spl0_103,
inference(avatar_split_clause,[],[f85,f729]) ).
fof(f729,plain,
( spl0_103
<=> ! [X0,X3,X2,X1] :
( ~ open(X0)
| ~ incident_c(X3,X0)
| ~ incident_c(X2,X0)
| ~ incident_c(X1,X0)
| X1 = X2
| incident_o(X3,ax2_sk7(X0,X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f85,axiom,
! [X2,X3,X0,X1] :
( ~ open(X0)
| ~ incident_c(X3,X0)
| ~ incident_c(X2,X0)
| ~ incident_c(X1,X0)
| X1 = X2
| incident_o(X3,ax2_sk7(X0,X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',o5_31) ).
fof(f726,plain,
spl0_102,
inference(avatar_split_clause,[],[f84,f724]) ).
fof(f724,plain,
( spl0_102
<=> ! [X0,X3,X2,X1] :
( ~ open(X0)
| ~ incident_c(X1,X0)
| ~ incident_c(X2,X0)
| X1 = X2
| incident_c(X3,X0)
| ~ incident_o(X3,ax2_sk7(X0,X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f84,axiom,
! [X2,X3,X0,X1] :
( ~ open(X0)
| ~ incident_c(X1,X0)
| ~ incident_c(X2,X0)
| X1 = X2
| incident_c(X3,X0)
| ~ incident_o(X3,ax2_sk7(X0,X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',o5_30) ).
fof(f722,plain,
spl0_101,
inference(avatar_split_clause,[],[f54,f720]) ).
fof(f54,axiom,
! [X2,X3,X0,X1,X4] :
( ~ inner_point(X4,X2)
| ~ part_of(X2,X3)
| ~ end_point(X1,X2)
| ~ end_point(X0,X2)
| X0 = X1
| between_c(X3,X0,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',between_c_defn_6) ).
fof(f708,plain,
spl0_100,
inference(avatar_split_clause,[],[f90,f706]) ).
fof(f706,plain,
( spl0_100
<=> ! [X0,X1] :
( X0 = X1
| ~ ordered_by(X1,ax2_sk8(X0,X1),ax2_sk9(X0,X1))
| ~ ordered_by(X0,ax2_sk8(X0,X1),ax2_sk9(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f90,axiom,
! [X0,X1] :
( X0 = X1
| ~ ordered_by(X1,ax2_sk8(X0,X1),ax2_sk9(X0,X1))
| ~ ordered_by(X0,ax2_sk8(X0,X1),ax2_sk9(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',o6_36) ).
fof(f704,plain,
spl0_99,
inference(avatar_split_clause,[],[f87,f702]) ).
fof(f87,axiom,
! [X0,X1] :
( X0 = X1
| ordered_by(X1,ax2_sk8(X1,X0),ax2_sk9(X1,X0))
| ordered_by(X0,ax2_sk8(X1,X0),ax2_sk9(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',o6_33) ).
fof(f693,plain,
spl0_98,
inference(avatar_split_clause,[],[f86,f691]) ).
fof(f86,axiom,
! [X2,X0,X1] :
( ~ open(X0)
| ~ incident_c(X2,X0)
| ~ incident_c(X1,X0)
| X1 = X2
| ordered_by(ax2_sk7(X0,X2,X1),X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',o5_32) ).
fof(f689,plain,
spl0_97,
inference(avatar_split_clause,[],[f40,f687]) ).
fof(f687,plain,
( spl0_97
<=> ! [X0,X3,X2,X1] :
( ~ end_point(X2,X1)
| ~ end_point(X3,X1)
| ~ end_point(X0,X1)
| X0 = X3
| X2 = X3
| X0 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f40,axiom,
! [X2,X3,X0,X1] :
( ~ end_point(X2,X1)
| ~ end_point(X3,X1)
| ~ end_point(X0,X1)
| X0 = X3
| X2 = X3
| X0 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c5_40) ).
fof(f685,plain,
( spl0_96
| ~ spl0_39
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f557,f411,f305,f682]) ).
fof(f411,plain,
( spl0_58
<=> incident_o(sk27,ax3_sk1(sk29)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f557,plain,
( once(at(sk29,sk27))
| ~ spl0_39
| ~ spl0_58 ),
inference(resolution,[],[f413,f306]) ).
fof(f413,plain,
( incident_o(sk27,ax3_sk1(sk29))
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f411]) ).
fof(f670,plain,
spl0_95,
inference(avatar_split_clause,[],[f12,f668]) ).
fof(f668,plain,
( spl0_95
<=> ! [X2,X0,X1] :
( sum(X1,X0) = X2
| ~ incident_c(ax0_sk2(X0,X1,X2),X2)
| ~ incident_c(ax0_sk2(X0,X1,X2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f12,axiom,
! [X2,X0,X1] :
( sum(X1,X0) = X2
| ~ incident_c(ax0_sk2(X0,X1,X2),X2)
| ~ incident_c(ax0_sk2(X0,X1,X2),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_defn_12) ).
fof(f666,plain,
spl0_94,
inference(avatar_split_clause,[],[f11,f664]) ).
fof(f664,plain,
( spl0_94
<=> ! [X2,X0,X1] :
( sum(X1,X0) = X2
| ~ incident_c(ax0_sk2(X0,X1,X2),X2)
| ~ incident_c(ax0_sk2(X0,X1,X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f11,axiom,
! [X2,X0,X1] :
( sum(X1,X0) = X2
| ~ incident_c(ax0_sk2(X0,X1,X2),X2)
| ~ incident_c(ax0_sk2(X0,X1,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_defn_11) ).
fof(f650,plain,
spl0_93,
inference(avatar_split_clause,[],[f29,f648]) ).
fof(f648,plain,
( spl0_93
<=> ! [X2,X0,X1] :
( ~ incident_c(X0,X2)
| ~ incident_c(X0,X1)
| meet(X0,X1,X2)
| incident_c(ax0_sk5(X2,X1,X0),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f29,axiom,
! [X2,X0,X1] :
( ~ incident_c(X0,X2)
| ~ incident_c(X0,X1)
| meet(X0,X1,X2)
| incident_c(ax0_sk5(X2,X1,X0),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_defn_29) ).
fof(f646,plain,
spl0_92,
inference(avatar_split_clause,[],[f28,f644]) ).
fof(f28,axiom,
! [X2,X0,X1] :
( ~ incident_c(X0,X2)
| ~ incident_c(X0,X1)
| meet(X0,X1,X2)
| incident_c(ax0_sk5(X2,X1,X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_defn_28) ).
fof(f636,plain,
( spl0_91
| ~ spl0_39
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f530,f369,f305,f633]) ).
fof(f369,plain,
( spl0_48
<=> incident_o(sk27,ax3_sk1(sk28)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f530,plain,
( once(at(sk28,sk27))
| ~ spl0_39
| ~ spl0_48 ),
inference(resolution,[],[f371,f306]) ).
fof(f371,plain,
( incident_o(sk27,ax3_sk1(sk28))
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f369]) ).
fof(f627,plain,
spl0_90,
inference(avatar_split_clause,[],[f126,f625]) ).
fof(f625,plain,
( spl0_90
<=> ! [X4,X3,X2,X1] :
( ~ closed(sum(X2,X3))
| ~ end_point(X4,X2)
| ~ meet(X1,X2,X3)
| meet(X4,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f126,plain,
! [X2,X3,X1,X4] :
( ~ closed(sum(X2,X3))
| ~ end_point(X4,X2)
| ~ meet(X1,X2,X3)
| meet(X4,X2,X3) ),
inference(equality_resolution,[],[f43]) ).
fof(f43,axiom,
! [X2,X3,X0,X1,X4] :
( ~ closed(X0)
| ~ end_point(X4,X2)
| ~ meet(X1,X2,X3)
| meet(X4,X2,X3)
| sum(X2,X3) != X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c7_43) ).
fof(f623,plain,
spl0_89,
inference(avatar_split_clause,[],[f77,f621]) ).
fof(f621,plain,
( spl0_89
<=> ! [X4,X0,X3,X2,X1] :
( incident_o(X4,X0)
| ~ between_o(X0,X1,X2,X3)
| ~ incident_c(X4,ax2_sk4(X0,X3,X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f77,axiom,
! [X2,X3,X0,X1,X4] :
( incident_o(X4,X0)
| ~ between_o(X0,X1,X2,X3)
| ~ incident_c(X4,ax2_sk4(X0,X3,X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',o3_23) ).
fof(f619,plain,
spl0_88,
inference(avatar_split_clause,[],[f76,f617]) ).
fof(f76,axiom,
! [X2,X3,X0,X1,X4] :
( ~ incident_o(X4,X0)
| ~ between_o(X0,X1,X2,X3)
| incident_c(X4,ax2_sk4(X0,X3,X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',o3_22) ).
fof(f606,plain,
spl0_87,
inference(avatar_split_clause,[],[f96,f604]) ).
fof(f604,plain,
( spl0_87
<=> ! [X0,X1] :
( underlying_curve(X0) = X1
| ~ incident_o(ax2_sk10(X0,X1),X0)
| ~ incident_c(ax2_sk10(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f96,axiom,
! [X0,X1] :
( underlying_curve(X0) = X1
| ~ incident_o(ax2_sk10(X0,X1),X0)
| ~ incident_c(ax2_sk10(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',underlying_curve_defn_42) ).
fof(f602,plain,
spl0_86,
inference(avatar_split_clause,[],[f93,f600]) ).
fof(f93,axiom,
! [X0,X1] :
( underlying_curve(X0) = X1
| incident_o(ax2_sk10(X0,X1),X0)
| incident_c(ax2_sk10(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',underlying_curve_defn_39) ).
fof(f598,plain,
spl0_85,
inference(avatar_split_clause,[],[f78,f596]) ).
fof(f78,axiom,
! [X2,X3,X0,X1] :
( ~ between_o(X0,X1,X2,X3)
| between_c(ax2_sk4(X0,X3,X2,X1),X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',o3_24) ).
fof(f554,plain,
spl0_84,
inference(avatar_split_clause,[],[f67,f552]) ).
fof(f67,axiom,
! [X2,X0,X1] :
( ~ finish_point(X0,X1)
| ~ incident_o(X2,X1)
| X0 = X2
| ordered_by(X1,X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',finish_point_defn_13) ).
fof(f550,plain,
spl0_83,
inference(avatar_split_clause,[],[f62,f548]) ).
fof(f62,axiom,
! [X2,X0,X1] :
( ~ start_point(X0,X1)
| ~ incident_o(X2,X1)
| X0 = X2
| ordered_by(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',start_point_defn_8) ).
fof(f546,plain,
spl0_82,
inference(avatar_split_clause,[],[f60,f544]) ).
fof(f544,plain,
( spl0_82
<=> ! [X0,X3,X2,X1] :
( ~ ordered_by(X0,X1,X2)
| ~ ordered_by(X0,X2,X3)
| between_o(X0,X3,X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f60,axiom,
! [X2,X3,X0,X1] :
( ~ ordered_by(X0,X1,X2)
| ~ ordered_by(X0,X2,X3)
| between_o(X0,X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',between_o_defn_6) ).
fof(f542,plain,
spl0_81,
inference(avatar_split_clause,[],[f59,f540]) ).
fof(f540,plain,
( spl0_81
<=> ! [X0,X3,X2,X1] :
( ~ ordered_by(X0,X1,X2)
| ~ ordered_by(X0,X2,X3)
| between_o(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f59,axiom,
! [X2,X3,X0,X1] :
( ~ ordered_by(X0,X1,X2)
| ~ ordered_by(X0,X2,X3)
| between_o(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',between_o_defn_5) ).
fof(f538,plain,
spl0_80,
inference(avatar_split_clause,[],[f58,f536]) ).
fof(f536,plain,
( spl0_80
<=> ! [X0,X3,X2,X1] :
( ordered_by(X0,X2,X1)
| ordered_by(X0,X2,X3)
| ~ between_o(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f58,axiom,
! [X2,X3,X0,X1] :
( ordered_by(X0,X2,X1)
| ordered_by(X0,X2,X3)
| ~ between_o(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',between_o_defn_4) ).
fof(f534,plain,
spl0_79,
inference(avatar_split_clause,[],[f57,f532]) ).
fof(f532,plain,
( spl0_79
<=> ! [X0,X3,X2,X1] :
( ordered_by(X0,X3,X2)
| ordered_by(X0,X2,X3)
| ~ between_o(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f57,axiom,
! [X2,X3,X0,X1] :
( ordered_by(X0,X3,X2)
| ordered_by(X0,X2,X3)
| ~ between_o(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',between_o_defn_3) ).
fof(f529,plain,
spl0_78,
inference(avatar_split_clause,[],[f56,f527]) ).
fof(f527,plain,
( spl0_78
<=> ! [X0,X3,X2,X1] :
( ordered_by(X0,X2,X1)
| ordered_by(X0,X1,X2)
| ~ between_o(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f56,axiom,
! [X2,X3,X0,X1] :
( ordered_by(X0,X2,X1)
| ordered_by(X0,X1,X2)
| ~ between_o(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',between_o_defn_2) ).
fof(f525,plain,
spl0_77,
inference(avatar_split_clause,[],[f55,f523]) ).
fof(f523,plain,
( spl0_77
<=> ! [X0,X3,X2,X1] :
( ordered_by(X0,X3,X2)
| ordered_by(X0,X1,X2)
| ~ between_o(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f55,axiom,
! [X2,X3,X0,X1] :
( ordered_by(X0,X3,X2)
| ordered_by(X0,X1,X2)
| ~ between_o(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',between_o_defn_1) ).
fof(f521,plain,
spl0_76,
inference(avatar_split_clause,[],[f48,f519]) ).
fof(f48,axiom,
! [X0,X1] :
( X0 = X1
| ~ incident_c(ax0_sk13(X0,X1),X1)
| ~ incident_c(ax0_sk13(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c9_48) ).
fof(f517,plain,
spl0_75,
inference(avatar_split_clause,[],[f45,f515]) ).
fof(f45,axiom,
! [X0,X1] :
( X0 = X1
| incident_c(ax0_sk13(X0,X1),X0)
| incident_c(ax0_sk13(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c9_45) ).
fof(f513,plain,
spl0_74,
inference(avatar_split_clause,[],[f27,f511]) ).
fof(f27,axiom,
! [X2,X3,X0,X1] :
( ~ incident_c(X3,X1)
| ~ incident_c(X3,X2)
| end_point(X3,X2)
| ~ meet(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_defn_27) ).
fof(f509,plain,
spl0_73,
inference(avatar_split_clause,[],[f26,f507]) ).
fof(f26,axiom,
! [X2,X3,X0,X1] :
( ~ incident_c(X3,X1)
| ~ incident_c(X3,X2)
| end_point(X3,X1)
| ~ meet(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_defn_26) ).
fof(f505,plain,
spl0_72,
inference(avatar_split_clause,[],[f20,f503]) ).
fof(f503,plain,
( spl0_72
<=> ! [X0,X1] :
( ~ incident_c(X0,X1)
| end_point(X0,X1)
| ~ part_of(ax0_sk4(X1,X0),ax0_sk3(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f20,axiom,
! [X0,X1] :
( ~ incident_c(X0,X1)
| end_point(X0,X1)
| ~ part_of(ax0_sk4(X1,X0),ax0_sk3(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',end_point_defn_20) ).
fof(f501,plain,
spl0_71,
inference(avatar_split_clause,[],[f19,f499]) ).
fof(f499,plain,
( spl0_71
<=> ! [X0,X1] :
( ~ incident_c(X0,X1)
| end_point(X0,X1)
| ~ part_of(ax0_sk3(X1,X0),ax0_sk4(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f19,axiom,
! [X0,X1] :
( ~ incident_c(X0,X1)
| end_point(X0,X1)
| ~ part_of(ax0_sk3(X1,X0),ax0_sk4(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',end_point_defn_19) ).
fof(f477,plain,
spl0_70,
inference(avatar_split_clause,[],[f102,f475]) ).
fof(f102,axiom,
! [X2,X0,X1] :
( ~ once(at_the_same_time(X0,at_the_same_time(X1,X2)))
| once(at_the_same_time(at_the_same_time(X0,X1),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assciativity_of_at_the_same_time_6) ).
fof(f472,plain,
spl0_69,
inference(avatar_split_clause,[],[f101,f470]) ).
fof(f101,axiom,
! [X2,X0,X1] :
( ~ once(at_the_same_time(at_the_same_time(X0,X1),X2))
| once(at_the_same_time(X0,at_the_same_time(X1,X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assciativity_of_at_the_same_time_5) ).
fof(f468,plain,
spl0_68,
inference(avatar_split_clause,[],[f98,f466]) ).
fof(f98,axiom,
! [X2,X0,X1] :
( connect(X0,X2,X1)
| ~ once(at_the_same_time(at(X0,X1),at(X2,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',connect_defn_2) ).
fof(f464,plain,
spl0_67,
inference(avatar_split_clause,[],[f97,f462]) ).
fof(f97,axiom,
! [X2,X0,X1] :
( ~ connect(X0,X1,X2)
| once(at_the_same_time(at(X0,X2),at(X1,X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',connect_defn_1) ).
fof(f460,plain,
spl0_66,
inference(avatar_split_clause,[],[f70,f458]) ).
fof(f70,axiom,
! [X0,X1] :
( ~ incident_o(X0,X1)
| finish_point(X0,X1)
| ~ ordered_by(X1,ax2_sk2(X1,X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',finish_point_defn_16) ).
fof(f456,plain,
spl0_65,
inference(avatar_split_clause,[],[f65,f454]) ).
fof(f65,axiom,
! [X0,X1] :
( ~ incident_o(X0,X1)
| start_point(X0,X1)
| ~ ordered_by(X1,X0,ax2_sk1(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',start_point_defn_11) ).
fof(f452,plain,
spl0_64,
inference(avatar_split_clause,[],[f53,f450]) ).
fof(f53,axiom,
! [X2,X3,X0,X1] :
( ~ between_c(X0,X1,X2,X3)
| inner_point(X2,ax1_sk1(X3,X2,X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',between_c_defn_5) ).
fof(f448,plain,
spl0_63,
inference(avatar_split_clause,[],[f52,f446]) ).
fof(f52,axiom,
! [X2,X3,X0,X1] :
( ~ between_c(X0,X1,X2,X3)
| end_point(X3,ax1_sk1(X3,X2,X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',between_c_defn_4) ).
fof(f444,plain,
spl0_62,
inference(avatar_split_clause,[],[f51,f442]) ).
fof(f51,axiom,
! [X2,X3,X0,X1] :
( ~ between_c(X0,X1,X2,X3)
| end_point(X1,ax1_sk1(X3,X2,X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',between_c_defn_3) ).
fof(f440,plain,
spl0_61,
inference(avatar_split_clause,[],[f50,f438]) ).
fof(f438,plain,
( spl0_61
<=> ! [X0,X3,X2,X1] :
( ~ between_c(X0,X1,X2,X3)
| part_of(ax1_sk1(X3,X2,X1,X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f50,axiom,
! [X2,X3,X0,X1] :
( ~ between_c(X0,X1,X2,X3)
| part_of(ax1_sk1(X3,X2,X1,X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',between_c_defn_2) ).
fof(f436,plain,
spl0_60,
inference(avatar_split_clause,[],[f39,f434]) ).
fof(f39,axiom,
! [X0,X1] :
( ~ inner_point(X0,X1)
| sum(ax0_sk9(X0,X1),ax0_sk10(X0,X1)) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c4_39) ).
fof(f432,plain,
( spl0_59
| ~ spl0_3
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f268,f241,f138,f429]) ).
fof(f429,plain,
( spl0_59
<=> incident_o(sk30,ax3_sk1(sk28)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f268,plain,
( incident_o(sk30,ax3_sk1(sk28))
| ~ spl0_3
| ~ spl0_25 ),
inference(resolution,[],[f242,f140]) ).
fof(f140,plain,
( ordered_by(ax3_sk1(sk28),sk27,sk30)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f414,plain,
( spl0_58
| ~ spl0_2
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f267,f241,f133,f411]) ).
fof(f267,plain,
( incident_o(sk27,ax3_sk1(sk29))
| ~ spl0_2
| ~ spl0_25 ),
inference(resolution,[],[f242,f135]) ).
fof(f408,plain,
spl0_57,
inference(avatar_split_clause,[],[f125,f406]) ).
fof(f125,plain,
! [X2,X3,X1] :
( ~ incident_c(X3,sum(X1,X2))
| incident_c(X3,X2)
| incident_c(X3,X1) ),
inference(equality_resolution,[],[f4]) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( ~ incident_c(X3,X0)
| incident_c(X3,X2)
| incident_c(X3,X1)
| sum(X1,X2) != X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_defn_4) ).
fof(f404,plain,
spl0_56,
inference(avatar_split_clause,[],[f69,f402]) ).
fof(f69,axiom,
! [X0,X1] :
( ~ incident_o(X0,X1)
| finish_point(X0,X1)
| incident_o(ax2_sk2(X1,X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',finish_point_defn_15) ).
fof(f400,plain,
spl0_55,
inference(avatar_split_clause,[],[f68,f398]) ).
fof(f398,plain,
( spl0_55
<=> ! [X0,X1] :
( ~ incident_o(X0,X1)
| finish_point(X0,X1)
| ax2_sk2(X1,X0) != X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f68,axiom,
! [X0,X1] :
( ~ incident_o(X0,X1)
| finish_point(X0,X1)
| ax2_sk2(X1,X0) != X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',finish_point_defn_14) ).
fof(f396,plain,
spl0_54,
inference(avatar_split_clause,[],[f64,f394]) ).
fof(f64,axiom,
! [X0,X1] :
( ~ incident_o(X0,X1)
| start_point(X0,X1)
| incident_o(ax2_sk1(X1,X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',start_point_defn_10) ).
fof(f392,plain,
spl0_53,
inference(avatar_split_clause,[],[f63,f390]) ).
fof(f390,plain,
( spl0_53
<=> ! [X0,X1] :
( ~ incident_o(X0,X1)
| start_point(X0,X1)
| ax2_sk1(X1,X0) != X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f63,axiom,
! [X0,X1] :
( ~ incident_o(X0,X1)
| start_point(X0,X1)
| ax2_sk1(X1,X0) != X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',start_point_defn_9) ).
fof(f388,plain,
spl0_52,
inference(avatar_split_clause,[],[f44,f386]) ).
fof(f44,axiom,
! [X2,X0,X1] :
( ~ meet(X0,X1,X2)
| sum(X1,X2) = ax0_sk12(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c8_44) ).
fof(f384,plain,
spl0_51,
inference(avatar_split_clause,[],[f38,f382]) ).
fof(f38,axiom,
! [X0,X1] :
( ~ inner_point(X0,X1)
| meet(X0,ax0_sk9(X0,X1),ax0_sk10(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c4_38) ).
fof(f380,plain,
spl0_50,
inference(avatar_split_clause,[],[f18,f378]) ).
fof(f18,axiom,
! [X0,X1] :
( ~ incident_c(X0,X1)
| end_point(X0,X1)
| incident_c(X0,ax0_sk4(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',end_point_defn_18) ).
fof(f376,plain,
spl0_49,
inference(avatar_split_clause,[],[f17,f374]) ).
fof(f17,axiom,
! [X0,X1] :
( ~ incident_c(X0,X1)
| end_point(X0,X1)
| incident_c(X0,ax0_sk3(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',end_point_defn_17) ).
fof(f372,plain,
( spl0_48
| ~ spl0_3
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f266,f237,f138,f369]) ).
fof(f266,plain,
( incident_o(sk27,ax3_sk1(sk28))
| ~ spl0_3
| ~ spl0_24 ),
inference(resolution,[],[f238,f140]) ).
fof(f367,plain,
spl0_47,
inference(avatar_split_clause,[],[f16,f365]) ).
fof(f16,axiom,
! [X0,X1] :
( ~ incident_c(X0,X1)
| end_point(X0,X1)
| part_of(ax0_sk4(X1,X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',end_point_defn_16) ).
fof(f363,plain,
spl0_46,
inference(avatar_split_clause,[],[f15,f361]) ).
fof(f15,axiom,
! [X0,X1] :
( ~ incident_c(X0,X1)
| end_point(X0,X1)
| part_of(ax0_sk3(X1,X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',end_point_defn_15) ).
fof(f356,plain,
spl0_45,
inference(avatar_split_clause,[],[f110,f354]) ).
fof(f110,axiom,
! [X0,X1] :
( ~ once(X0)
| once(at_the_same_time(X0,at(X1,ax3_sk2(X1,X0)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',localization_14) ).
fof(f342,plain,
spl0_44,
inference(avatar_split_clause,[],[f23,f340]) ).
fof(f23,axiom,
! [X0,X1] :
( ~ incident_c(X0,X1)
| inner_point(X0,X1)
| end_point(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inner_point_defn_23) ).
fof(f338,plain,
spl0_43,
inference(avatar_split_clause,[],[f1,f336]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ part_of(X0,X1)
| ~ incident_c(X2,X0)
| incident_c(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_defn_1) ).
fof(f332,plain,
( spl0_42
| ~ spl0_2
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f265,f237,f133,f329]) ).
fof(f329,plain,
( spl0_42
<=> incident_o(sk31,ax3_sk1(sk29)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f265,plain,
( incident_o(sk31,ax3_sk1(sk29))
| ~ spl0_2
| ~ spl0_24 ),
inference(resolution,[],[f238,f135]) ).
fof(f315,plain,
spl0_41,
inference(avatar_split_clause,[],[f124,f313]) ).
fof(f124,plain,
! [X2,X3,X1] :
( ~ incident_c(X3,X2)
| incident_c(X3,sum(X1,X2)) ),
inference(equality_resolution,[],[f6]) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( ~ incident_c(X3,X2)
| incident_c(X3,X0)
| sum(X1,X2) != X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_defn_6) ).
fof(f311,plain,
spl0_40,
inference(avatar_split_clause,[],[f123,f309]) ).
fof(f123,plain,
! [X2,X3,X1] :
( ~ incident_c(X3,X1)
| incident_c(X3,sum(X1,X2)) ),
inference(equality_resolution,[],[f5]) ).
fof(f5,axiom,
! [X2,X3,X0,X1] :
( ~ incident_c(X3,X1)
| incident_c(X3,X0)
| sum(X1,X2) != X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_defn_5) ).
fof(f307,plain,
spl0_39,
inference(avatar_split_clause,[],[f118,f305]) ).
fof(f118,plain,
! [X0,X1] :
( ~ incident_o(X0,ax3_sk1(X1))
| once(at(X1,X0)) ),
inference(definition_unfolding,[],[f107,f108]) ).
fof(f107,axiom,
! [X0,X1] :
( ~ incident_o(X0,trajectory_of(X1))
| once(at(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',at_on_trajectory_11) ).
fof(f303,plain,
spl0_38,
inference(avatar_split_clause,[],[f117,f301]) ).
fof(f301,plain,
( spl0_38
<=> ! [X0,X1] :
( ~ once(at(X0,X1))
| incident_o(X1,ax3_sk1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f117,plain,
! [X0,X1] :
( ~ once(at(X0,X1))
| incident_o(X1,ax3_sk1(X0)) ),
inference(definition_unfolding,[],[f106,f108]) ).
fof(f106,axiom,
! [X0,X1] :
( ~ once(at(X0,X1))
| incident_o(X1,trajectory_of(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',at_on_trajectory_10) ).
fof(f299,plain,
spl0_37,
inference(avatar_split_clause,[],[f99,f297]) ).
fof(f99,axiom,
! [X0,X1] :
( ~ once(at_the_same_time(X0,X1))
| once(at_the_same_time(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_at_the_same_time_3) ).
fof(f295,plain,
spl0_36,
inference(avatar_split_clause,[],[f42,f293]) ).
fof(f293,plain,
( spl0_36
<=> ! [X0,X1] :
( ~ end_point(X0,X1)
| ax0_sk11(X0,X1) != X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f42,axiom,
! [X0,X1] :
( ~ end_point(X0,X1)
| ax0_sk11(X0,X1) != X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c6_42) ).
fof(f291,plain,
spl0_35,
inference(avatar_split_clause,[],[f41,f289]) ).
fof(f41,axiom,
! [X0,X1] :
( ~ end_point(X0,X1)
| end_point(ax0_sk11(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c6_41) ).
fof(f287,plain,
spl0_34,
inference(avatar_split_clause,[],[f35,f285]) ).
fof(f35,axiom,
! [X0,X1] :
( open(X0)
| ~ part_of(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c1_35) ).
fof(f283,plain,
spl0_33,
inference(avatar_split_clause,[],[f3,f281]) ).
fof(f3,axiom,
! [X0,X1] :
( part_of(X0,X1)
| ~ incident_c(ax0_sk1(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_defn_3) ).
fof(f279,plain,
spl0_32,
inference(avatar_split_clause,[],[f2,f277]) ).
fof(f2,axiom,
! [X0,X1] :
( part_of(X0,X1)
| incident_c(ax0_sk1(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_defn_2) ).
fof(f274,plain,
( spl0_31
| ~ spl0_4
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f226,f208,f143,f271]) ).
fof(f226,plain,
( once(at(sk29,sk31))
| ~ spl0_4
| ~ spl0_20 ),
inference(resolution,[],[f209,f145]) ).
fof(f264,plain,
spl0_30,
inference(avatar_split_clause,[],[f122,f262]) ).
fof(f122,plain,
! [X2,X1] :
( ~ incident_c(X2,underlying_curve(X1))
| incident_o(X2,X1) ),
inference(equality_resolution,[],[f92]) ).
fof(f92,axiom,
! [X2,X0,X1] :
( ~ incident_c(X2,X0)
| incident_o(X2,X1)
| underlying_curve(X1) != X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',underlying_curve_defn_38) ).
fof(f260,plain,
spl0_29,
inference(avatar_split_clause,[],[f121,f258]) ).
fof(f121,plain,
! [X2,X1] :
( ~ incident_o(X2,X1)
| incident_c(X2,underlying_curve(X1)) ),
inference(equality_resolution,[],[f91]) ).
fof(f91,axiom,
! [X2,X0,X1] :
( ~ incident_o(X2,X1)
| incident_c(X2,X0)
| underlying_curve(X1) != X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',underlying_curve_defn_37) ).
fof(f256,plain,
spl0_28,
inference(avatar_split_clause,[],[f75,f254]) ).
fof(f75,axiom,
! [X0,X1] :
( incident_o(X0,X1)
| ~ incident_c(X0,ax2_sk3(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',o2_21) ).
fof(f252,plain,
spl0_27,
inference(avatar_split_clause,[],[f74,f250]) ).
fof(f74,axiom,
! [X0,X1] :
( ~ incident_o(X0,X1)
| incident_c(X0,ax2_sk3(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',o2_20) ).
fof(f248,plain,
( spl0_26
| ~ spl0_4
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f224,f204,f143,f245]) ).
fof(f224,plain,
( once(at(sk28,sk30))
| ~ spl0_4
| ~ spl0_19 ),
inference(resolution,[],[f205,f145]) ).
fof(f243,plain,
spl0_25,
inference(avatar_split_clause,[],[f72,f241]) ).
fof(f72,axiom,
! [X2,X0,X1] :
( incident_o(X2,X0)
| ~ ordered_by(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',o1_18) ).
fof(f239,plain,
spl0_24,
inference(avatar_split_clause,[],[f71,f237]) ).
fof(f71,axiom,
! [X2,X0,X1] :
( incident_o(X1,X0)
| ~ ordered_by(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',o1_17) ).
fof(f235,plain,
spl0_23,
inference(avatar_split_clause,[],[f25,f233]) ).
fof(f25,axiom,
! [X2,X0,X1] :
( incident_c(X0,X2)
| ~ meet(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_defn_25) ).
fof(f231,plain,
spl0_22,
inference(avatar_split_clause,[],[f24,f229]) ).
fof(f24,axiom,
! [X2,X0,X1] :
( incident_c(X0,X1)
| ~ meet(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_defn_24) ).
fof(f219,plain,
( spl0_21
| ~ spl0_6
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f211,f176,f152,f217]) ).
fof(f217,plain,
( spl0_21
<=> ! [X0] : incident_c(ax0_sk8(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f211,plain,
( ! [X0] : incident_c(ax0_sk8(X0),X0)
| ~ spl0_6
| ~ spl0_12 ),
inference(resolution,[],[f177,f153]) ).
fof(f210,plain,
spl0_20,
inference(avatar_split_clause,[],[f105,f208]) ).
fof(f105,axiom,
! [X0,X1] :
( once(X1)
| ~ once(at_the_same_time(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjunction_at_the_same_time_9) ).
fof(f206,plain,
spl0_19,
inference(avatar_split_clause,[],[f104,f204]) ).
fof(f104,axiom,
! [X0,X1] :
( once(X0)
| ~ once(at_the_same_time(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjunction_at_the_same_time_8) ).
fof(f202,plain,
spl0_18,
inference(avatar_split_clause,[],[f103,f200]) ).
fof(f103,axiom,
! [X0] :
( ~ once(X0)
| once(at_the_same_time(X0,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_of_at_the_same_time_7) ).
fof(f198,plain,
spl0_17,
inference(avatar_split_clause,[],[f66,f196]) ).
fof(f196,plain,
( spl0_17
<=> ! [X0,X1] :
( ~ finish_point(X0,X1)
| incident_o(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f66,axiom,
! [X0,X1] :
( ~ finish_point(X0,X1)
| incident_o(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',finish_point_defn_12) ).
fof(f194,plain,
spl0_16,
inference(avatar_split_clause,[],[f61,f192]) ).
fof(f61,axiom,
! [X0,X1] :
( ~ start_point(X0,X1)
| incident_o(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',start_point_defn_7) ).
fof(f190,plain,
spl0_15,
inference(avatar_split_clause,[],[f33,f188]) ).
fof(f33,axiom,
! [X0] :
( ~ open(X0)
| end_point(ax0_sk7(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',open_defn_33) ).
fof(f186,plain,
spl0_14,
inference(avatar_split_clause,[],[f32,f184]) ).
fof(f32,axiom,
! [X0] :
( closed(X0)
| end_point(ax0_sk6(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closed_defn_32) ).
fof(f182,plain,
spl0_13,
inference(avatar_split_clause,[],[f22,f180]) ).
fof(f22,axiom,
! [X0,X1] :
( ~ inner_point(X0,X1)
| ~ end_point(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inner_point_defn_22) ).
fof(f178,plain,
spl0_12,
inference(avatar_split_clause,[],[f21,f176]) ).
fof(f21,axiom,
! [X0,X1] :
( ~ inner_point(X0,X1)
| incident_c(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inner_point_defn_21) ).
fof(f174,plain,
spl0_11,
inference(avatar_split_clause,[],[f13,f172]) ).
fof(f13,axiom,
! [X0,X1] :
( ~ end_point(X0,X1)
| incident_c(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',end_point_defn_13) ).
fof(f170,plain,
spl0_10,
inference(avatar_split_clause,[],[f120,f168]) ).
fof(f120,plain,
! [X2,X3,X0] : ~ between_c(X0,X3,X2,X3),
inference(equality_resolution,[],[f49]) ).
fof(f49,axiom,
! [X2,X3,X0,X1] :
( X1 != X3
| ~ between_c(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',between_c_defn_1) ).
fof(f166,plain,
spl0_9,
inference(avatar_split_clause,[],[f34,f164]) ).
fof(f34,axiom,
! [X0,X1] :
( open(X1)
| ~ end_point(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',open_defn_34) ).
fof(f162,plain,
spl0_8,
inference(avatar_split_clause,[],[f31,f160]) ).
fof(f31,axiom,
! [X0,X1] :
( ~ closed(X0)
| ~ end_point(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closed_defn_31) ).
fof(f158,plain,
spl0_7,
inference(avatar_split_clause,[],[f83,f156]) ).
fof(f83,axiom,
! [X0] : start_point(ax2_sk6(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',o4_29) ).
fof(f154,plain,
spl0_6,
inference(avatar_split_clause,[],[f37,f152]) ).
fof(f37,axiom,
! [X0] : inner_point(ax0_sk8(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c3_37) ).
fof(f150,plain,
spl0_5,
inference(avatar_split_clause,[],[f73,f148]) ).
fof(f73,axiom,
! [X0] : open(ax2_sk3(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',o2_19) ).
fof(f146,plain,
spl0_4,
inference(avatar_split_clause,[],[f114,f143]) ).
fof(f114,axiom,
once(at_the_same_time(at(sk28,sk30),at(sk29,sk31))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_159) ).
fof(f141,plain,
spl0_3,
inference(avatar_split_clause,[],[f116,f138]) ).
fof(f116,plain,
ordered_by(ax3_sk1(sk28),sk27,sk30),
inference(definition_unfolding,[],[f113,f108]) ).
fof(f113,axiom,
ordered_by(trajectory_of(sk28),sk27,sk30),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_158) ).
fof(f136,plain,
spl0_2,
inference(avatar_split_clause,[],[f115,f133]) ).
fof(f115,plain,
ordered_by(ax3_sk1(sk29),sk31,sk27),
inference(definition_unfolding,[],[f112,f108]) ).
fof(f112,axiom,
ordered_by(trajectory_of(sk29),sk31,sk27),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_157) ).
fof(f131,plain,
spl0_1,
inference(avatar_split_clause,[],[f111,f128]) ).
fof(f111,axiom,
connect(sk28,sk29,sk27),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_156) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO148-1 : TPTP v8.1.2. Released v2.4.0.
% 0.04/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n031.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 06:12:44 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (24478)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (24480)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (24481)WARNING: value z3 for option sas not known
% 0.14/0.37 % (24479)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (24482)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (24481)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (24483)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.37 % (24484)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.37 % (24485)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)
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.39 TRYING [3]
% 0.21/0.41 TRYING [1]
% 0.21/0.42 TRYING [2]
% 0.21/0.42 % (24483)First to succeed.
% 0.21/0.43 % (24483)Refutation found. Thanks to Tanya!
% 0.21/0.43 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.44 % (24483)------------------------------
% 0.21/0.44 % (24483)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.44 % (24483)Termination reason: Refutation
% 0.21/0.44
% 0.21/0.44 % (24483)Memory used [KB]: 1953
% 0.21/0.44 % (24483)Time elapsed: 0.062 s
% 0.21/0.44 % (24483)Instructions burned: 94 (million)
% 0.21/0.44 % (24483)------------------------------
% 0.21/0.44 % (24483)------------------------------
% 0.21/0.44 % (24478)Success in time 0.085 s
%------------------------------------------------------------------------------