TSTP Solution File: GEO030-2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO030-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 11:13:16 EDT 2024
% Result : Unsatisfiable 16.74s 2.82s
% Output : Refutation 16.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 833
% Syntax : Number of formulae : 2689 ( 35 unt; 0 def)
% Number of atoms : 14293 (1324 equ)
% Maximal formula atoms : 18 ( 5 avg)
% Number of connectives : 21795 (10191 ~;10794 |; 0 &)
% ( 810 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 34 ( 9 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 814 ( 812 usr; 811 prp; 0-4 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-6 aty)
% Number of variables : 9005 (9005 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17939,plain,
$false,
inference(avatar_sat_refutation,[],[f28,f33,f38,f43,f48,f53,f58,f63,f67,f71,f75,f79,f84,f89,f97,f101,f107,f111,f115,f119,f123,f131,f137,f148,f157,f161,f171,f180,f188,f192,f196,f214,f218,f228,f238,f244,f250,f254,f266,f279,f283,f298,f306,f313,f322,f330,f334,f338,f352,f357,f377,f381,f410,f414,f436,f447,f452,f456,f464,f468,f476,f480,f494,f500,f504,f514,f525,f529,f546,f562,f580,f584,f608,f623,f628,f632,f654,f669,f673,f677,f681,f720,f724,f728,f732,f773,f777,f781,f813,f840,f849,f853,f877,f905,f909,f927,f939,f943,f959,f969,f974,f978,f982,f986,f1005,f1009,f1014,f1018,f1022,f1034,f1038,f1066,f1071,f1076,f1089,f1097,f1116,f1124,f1129,f1142,f1150,f1154,f1172,f1176,f1219,f1223,f1227,f1231,f1267,f1309,f1313,f1317,f1351,f1370,f1381,f1431,f1444,f1452,f1454,f1473,f1481,f1483,f1491,f1503,f1507,f1511,f1516,f1520,f1528,f1576,f1578,f1636,f1683,f1699,f1706,f1719,f1724,f1742,f1747,f1850,f1854,f1858,f1862,f1890,f1997,f2038,f2042,f2096,f2101,f2114,f2123,f2129,f2138,f2153,f2163,f2168,f2172,f2181,f2187,f2209,f2222,f2230,f2240,f2248,f2268,f2292,f2303,f2311,f2318,f2324,f2336,f2342,f2344,f2351,f2363,f2369,f2373,f2379,f2385,f2389,f2419,f2423,f2429,f2433,f2514,f2518,f2519,f2584,f2705,f2764,f2787,f2791,f2795,f2799,f2833,f2848,f2852,f2856,f2860,f2864,f2868,f2931,f2984,f2988,f2992,f2996,f3066,f3207,f3211,f3215,f3295,f3307,f3331,f3335,f3355,f3359,f3364,f3368,f3372,f3376,f3380,f3384,f3388,f3392,f3396,f3662,f3666,f3671,f3675,f3679,f3683,f3687,f3903,f3907,f3916,f3920,f3984,f3988,f4005,f4009,f4013,f4017,f4021,f4091,f4095,f4103,f4107,f4111,f4115,f4119,f4235,f4239,f4299,f4303,f4307,f4311,f4319,f4323,f4327,f4421,f4425,f4445,f4525,f4529,f4555,f4559,f4563,f4567,f4571,f4575,f4579,f4583,f4587,f4591,f4690,f4696,f4720,f4724,f4742,f4746,f4750,f4754,f4758,f4762,f4766,f4798,f4802,f4844,f4848,f4852,f4856,f4860,f4864,f4868,f4872,f4876,f4880,f4890,f5038,f5042,f5046,f5050,f5054,f5058,f5062,f5066,f5070,f5086,f5090,f5149,f5153,f5157,f5161,f5165,f5169,f5173,f5177,f5181,f5211,f5277,f5281,f5285,f5289,f5437,f5441,f5445,f5521,f5525,f5529,f5621,f5625,f5629,f5633,f5637,f5641,f5645,f5649,f5653,f5657,f5661,f5665,f5723,f5727,f5731,f5765,f5769,f5773,f5777,f5781,f5785,f5789,f5793,f5797,f5821,f5825,f5829,f5833,f5837,f5900,f5904,f5908,f5912,f5916,f6010,f6014,f6018,f6039,f6107,f6111,f6115,f6119,f6123,f6127,f6131,f6135,f6140,f6144,f6148,f6319,f6323,f6327,f6424,f6428,f6490,f6494,f6498,f6502,f6625,f6629,f6633,f6741,f6745,f6749,f6753,f6790,f6794,f6798,f6802,f6863,f6867,f6871,f6875,f6976,f6980,f6984,f6988,f7018,f7022,f7059,f7116,f7120,f7124,f7151,f7205,f7232,f7271,f7275,f7375,f7379,f7396,f7414,f7418,f7444,f7448,f7452,f7519,f7546,f7606,f7649,f7653,f7657,f7773,f7813,f7817,f7837,f7857,f7867,f7871,f7893,f7938,f7942,f7946,f8020,f8024,f8028,f8206,f8239,f8243,f8445,f8533,f8567,f8577,f8581,f8789,f8793,f8797,f8847,f8851,f8855,f8883,f8898,f8949,f8953,f8969,f8973,f8977,f9003,f9032,f9036,f9040,f9044,f9048,f9121,f9151,f9166,f9170,f9264,f9370,f9397,f9401,f9405,f9409,f9584,f9588,f9592,f9596,f9707,f9711,f9715,f9719,f9815,f9819,f9823,f9849,f9853,f9917,f9940,f9944,f9948,f9952,f9990,f10011,f10026,f10030,f10057,f10076,f10091,f10095,f10099,f10103,f10107,f10186,f10211,f10215,f10230,f10234,f10238,f10242,f10246,f10250,f10254,f10669,f10729,f10733,f10737,f10741,f10745,f10749,f10753,f10757,f10762,f11002,f11006,f11011,f11015,f11019,f11023,f11509,f11542,f11546,f11550,f11554,f11558,f11562,f11566,f11570,f11574,f11578,f11596,f11604,f11606,f11680,f11682,f11775,f11835,f11839,f11843,f11933,f11937,f11941,f11945,f11949,f11954,f11986,f11990,f11994,f11998,f12002,f12314,f12318,f12322,f12326,f12330,f12334,f12601,f12697,f12706,f12710,f12719,f12727,f12758,f12785,f12812,f12816,f12852,f12892,f12896,f12900,f12904,f12981,f12985,f13062,f13090,f13118,f13146,f13174,f13178,f13206,f13234,f13238,f13266,f13294,f13318,f13322,f13351,f13360,f13376,f13384,f13388,f13392,f13396,f13547,f13551,f13555,f13559,f13563,f13567,f13571,f13575,f13579,f13583,f13587,f13603,f13607,f13611,f13615,f13619,f13707,f13871,f13875,f13900,f13958,f13962,f14146,f14150,f14154,f14158,f14162,f14166,f14170,f14192,f14225,f14281,f14291,f14295,f14299,f14303,f14307,f14311,f14315,f14365,f14399,f14425,f14429,f14433,f14437,f14441,f14678,f14704,f14730,f14758,f14766,f14794,f14798,f14814,f14818,f14822,f14826,f14830,f14834,f15104,f15108,f15112,f15116,f15120,f15124,f15128,f15132,f15136,f15140,f15144,f15148,f15188,f15464,f15468,f15472,f15476,f15480,f15716,f15720,f15724,f15728,f15732,f15736,f15740,f15744,f15748,f15752,f15756,f15760,f15764,f15776,f15780,f15792,f15796,f15800,f15826,f15852,f15896,f16018,f16022,f16083,f16087,f16091,f16095,f16099,f16103,f16107,f16111,f16115,f16119,f16123,f16127,f16131,f16135,f16139,f16143,f16147,f16151,f16155,f16159,f16163,f16167,f16171,f16175,f16179,f16183,f16187,f16191,f16195,f16199,f16203,f16207,f16211,f16215,f16219,f16223,f16227,f16231,f16235,f16239,f16243,f16247,f16251,f16255,f16271,f16577,f16737,f17077,f17081,f17082,f17086,f17090,f17094,f17098,f17102,f17106,f17110,f17114,f17118,f17122,f17184,f17185,f17274,f17278,f17282,f17938]) ).
fof(f17938,plain,
( spl0_1
| ~ spl0_11
| ~ spl0_792 ),
inference(avatar_split_clause,[],[f17161,f16265,f73,f25]) ).
fof(f25,plain,
( spl0_1
<=> w = w1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f73,plain,
( spl0_11
<=> ! [X2,X0,X1] :
( X0 = X1
| ~ equidistant(X0,X1,X2,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f16265,plain,
( spl0_792
<=> ! [X0] : equidistant(w,w1,X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_792])]) ).
fof(f17161,plain,
( w = w1
| ~ spl0_11
| ~ spl0_792 ),
inference(resolution,[],[f16266,f74]) ).
fof(f74,plain,
( ! [X2,X0,X1] :
( ~ equidistant(X0,X1,X2,X2)
| X0 = X1 )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f16266,plain,
( ! [X0] : equidistant(w,w1,X0,X0)
| ~ spl0_792 ),
inference(avatar_component_clause,[],[f16265]) ).
fof(f17282,plain,
( spl0_810
| ~ spl0_52
| ~ spl0_256 ),
inference(avatar_split_clause,[],[f3811,f3681,f379,f17280]) ).
fof(f17280,plain,
( spl0_810
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ between(X0,X1,X2)
| ~ equidistant(X3,X1,X4,X4)
| ~ between(X3,X0,X2)
| ~ equidistant(X3,X0,X3,X5)
| equidistant(X6,X6,X3,continuous(X3,X0,X5,X1,X2,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_810])]) ).
fof(f379,plain,
( spl0_52
<=> ! [X0,X1] : equidistant(X0,X1,X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f3681,plain,
( spl0_256
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X5,X5)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X6)
| equidistant(X7,X7,X0,continuous(X0,X1,X2,X3,X4,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_256])]) ).
fof(f3811,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ between(X0,X1,X2)
| ~ equidistant(X3,X1,X4,X4)
| ~ between(X3,X0,X2)
| ~ equidistant(X3,X0,X3,X5)
| equidistant(X6,X6,X3,continuous(X3,X0,X5,X1,X2,X2)) )
| ~ spl0_52
| ~ spl0_256 ),
inference(resolution,[],[f3682,f380]) ).
fof(f380,plain,
( ! [X0,X1] : equidistant(X0,X1,X0,X1)
| ~ spl0_52 ),
inference(avatar_component_clause,[],[f379]) ).
fof(f3682,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X4,X0,X6)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X5,X5)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X1,X0,X2)
| equidistant(X7,X7,X0,continuous(X0,X1,X2,X3,X4,X6)) )
| ~ spl0_256 ),
inference(avatar_component_clause,[],[f3681]) ).
fof(f17278,plain,
( spl0_809
| ~ spl0_52
| ~ spl0_251 ),
inference(avatar_split_clause,[],[f3690,f3660,f379,f17276]) ).
fof(f17276,plain,
( spl0_809
<=> ! [X3,X4,X0,X6,X5,X2,X1] :
( equidistant(X0,continuous(X0,X1,X2,X3,X4,X4),X5,X5)
| ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X6,X6)
| ~ between(X0,X1,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_809])]) ).
fof(f3660,plain,
( spl0_251
<=> ! [X5,X4,X2,X0,X7,X6,X3,X1] :
( equidistant(X0,continuous(X0,X1,X2,X3,X4,X5),X6,X6)
| ~ equidistant(X0,X4,X0,X5)
| ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X7,X7)
| ~ between(X0,X1,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_251])]) ).
fof(f3690,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( equidistant(X0,continuous(X0,X1,X2,X3,X4,X4),X5,X5)
| ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X6,X6)
| ~ between(X0,X1,X4) )
| ~ spl0_52
| ~ spl0_251 ),
inference(resolution,[],[f3661,f380]) ).
fof(f3661,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X4,X0,X5)
| equidistant(X0,continuous(X0,X1,X2,X3,X4,X5),X6,X6)
| ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X7,X7)
| ~ between(X0,X1,X4) )
| ~ spl0_251 ),
inference(avatar_component_clause,[],[f3660]) ).
fof(f17274,plain,
( spl0_808
| ~ spl0_129
| ~ spl0_226 ),
inference(avatar_split_clause,[],[f2939,f2858,f1265,f17272]) ).
fof(f17272,plain,
( spl0_808
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ equidistant(X0,X1,X0,X2)
| ~ equidistant(X0,X3,X0,X4)
| ~ between(X3,X5,X1)
| ~ between(X0,X3,X1)
| equidistant(continuous(X0,X3,X4,X5,X1,X2),X0,X5,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_808])]) ).
fof(f1265,plain,
( spl0_129
<=> ! [X0,X3,X2,X1] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
fof(f2858,plain,
( spl0_226
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ between(X0,X1,X2)
| ~ equidistant(X0,X2,X0,X3)
| ~ equidistant(X0,X1,X0,X4)
| ~ between(X1,X5,X2)
| equidistant(X5,X0,continuous(X0,X1,X4,X5,X2,X3),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_226])]) ).
fof(f2939,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ equidistant(X0,X3,X0,X4)
| ~ between(X3,X5,X1)
| ~ between(X0,X3,X1)
| equidistant(continuous(X0,X3,X4,X5,X1,X2),X0,X5,X0) )
| ~ spl0_129
| ~ spl0_226 ),
inference(resolution,[],[f2859,f1266]) ).
fof(f1266,plain,
( ! [X2,X3,X0,X1] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,X0,X1) )
| ~ spl0_129 ),
inference(avatar_component_clause,[],[f1265]) ).
fof(f2859,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( equidistant(X5,X0,continuous(X0,X1,X4,X5,X2,X3),X0)
| ~ equidistant(X0,X2,X0,X3)
| ~ equidistant(X0,X1,X0,X4)
| ~ between(X1,X5,X2)
| ~ between(X0,X1,X2) )
| ~ spl0_226 ),
inference(avatar_component_clause,[],[f2858]) ).
fof(f17185,plain,
( spl0_690
| ~ spl0_792 ),
inference(avatar_contradiction_clause,[],[f17129]) ).
fof(f17129,plain,
( $false
| spl0_690
| ~ spl0_792 ),
inference(resolution,[],[f16266,f14725]) ).
fof(f14725,plain,
( ~ equidistant(w,w1,u,u)
| spl0_690 ),
inference(avatar_component_clause,[],[f14724]) ).
fof(f14724,plain,
( spl0_690
<=> equidistant(w,w1,u,u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_690])]) ).
fof(f17184,plain,
( spl0_693
| ~ spl0_792 ),
inference(avatar_contradiction_clause,[],[f17130]) ).
fof(f17130,plain,
( $false
| spl0_693
| ~ spl0_792 ),
inference(resolution,[],[f16266,f14761]) ).
fof(f14761,plain,
( ~ equidistant(w,w1,v,v)
| spl0_693 ),
inference(avatar_component_clause,[],[f14760]) ).
fof(f14760,plain,
( spl0_693
<=> equidistant(w,w1,v,v) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_693])]) ).
fof(f17122,plain,
( spl0_807
| ~ spl0_27
| ~ spl0_226 ),
inference(avatar_split_clause,[],[f2935,f2858,f169,f17120]) ).
fof(f17120,plain,
( spl0_807
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ equidistant(X0,X1,X0,X2)
| ~ equidistant(X0,X3,X0,X4)
| ~ between(X3,X5,X1)
| ~ between(X0,X3,X1)
| equidistant(continuous(X0,X3,X4,X5,X1,X2),X0,X0,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_807])]) ).
fof(f169,plain,
( spl0_27
<=> ! [X0,X3,X2,X1] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f2935,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ equidistant(X0,X3,X0,X4)
| ~ between(X3,X5,X1)
| ~ between(X0,X3,X1)
| equidistant(continuous(X0,X3,X4,X5,X1,X2),X0,X0,X5) )
| ~ spl0_27
| ~ spl0_226 ),
inference(resolution,[],[f2859,f170]) ).
fof(f170,plain,
( ! [X2,X3,X0,X1] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,X1,X0) )
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f169]) ).
fof(f17118,plain,
( spl0_806
| ~ spl0_55
| ~ spl0_226 ),
inference(avatar_split_clause,[],[f2932,f2858,f434,f17116]) ).
fof(f17116,plain,
( spl0_806
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ equidistant(X0,X1,X0,X2)
| ~ equidistant(X0,X3,X0,X4)
| ~ between(X3,X0,X1)
| ~ between(X0,X3,X1)
| equidistant(continuous(X0,X3,X4,X0,X1,X2),X0,X5,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_806])]) ).
fof(f434,plain,
( spl0_55
<=> ! [X4,X3,X2,X1] :
( ~ equidistant(X1,X1,X3,X4)
| equidistant(X3,X4,X2,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f2932,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ equidistant(X0,X3,X0,X4)
| ~ between(X3,X0,X1)
| ~ between(X0,X3,X1)
| equidistant(continuous(X0,X3,X4,X0,X1,X2),X0,X5,X5) )
| ~ spl0_55
| ~ spl0_226 ),
inference(resolution,[],[f2859,f435]) ).
fof(f435,plain,
( ! [X2,X3,X1,X4] :
( ~ equidistant(X1,X1,X3,X4)
| equidistant(X3,X4,X2,X2) )
| ~ spl0_55 ),
inference(avatar_component_clause,[],[f434]) ).
fof(f17114,plain,
( spl0_805
| ~ spl0_129
| ~ spl0_222 ),
inference(avatar_split_clause,[],[f2876,f2831,f1265,f17112]) ).
fof(f17112,plain,
( spl0_805
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ between(X0,X1,X2)
| ~ equidistant(X0,X2,X0,X3)
| ~ equidistant(X0,X1,X0,X4)
| ~ between(X1,X0,X2)
| equidistant(X5,X5,X0,continuous(X0,X1,X4,X0,X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_805])]) ).
fof(f2831,plain,
( spl0_222
<=> ! [X2,X4,X0,X5,X3,X1] :
( equidistant(X0,continuous(X0,X1,X2,X0,X3,X4),X5,X5)
| ~ between(X0,X1,X3)
| ~ equidistant(X0,X3,X0,X4)
| ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_222])]) ).
fof(f2876,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(X0,X1,X2)
| ~ equidistant(X0,X2,X0,X3)
| ~ equidistant(X0,X1,X0,X4)
| ~ between(X1,X0,X2)
| equidistant(X5,X5,X0,continuous(X0,X1,X4,X0,X2,X3)) )
| ~ spl0_129
| ~ spl0_222 ),
inference(resolution,[],[f2832,f1266]) ).
fof(f2832,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( equidistant(X0,continuous(X0,X1,X2,X0,X3,X4),X5,X5)
| ~ between(X0,X1,X3)
| ~ equidistant(X0,X3,X0,X4)
| ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X0,X3) )
| ~ spl0_222 ),
inference(avatar_component_clause,[],[f2831]) ).
fof(f17110,plain,
( spl0_804
| ~ spl0_27
| ~ spl0_222 ),
inference(avatar_split_clause,[],[f2872,f2831,f169,f17108]) ).
fof(f17108,plain,
( spl0_804
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ between(X0,X1,X2)
| ~ equidistant(X0,X2,X0,X3)
| ~ equidistant(X0,X1,X0,X4)
| ~ between(X1,X0,X2)
| equidistant(X5,X5,continuous(X0,X1,X4,X0,X2,X3),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_804])]) ).
fof(f2872,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(X0,X1,X2)
| ~ equidistant(X0,X2,X0,X3)
| ~ equidistant(X0,X1,X0,X4)
| ~ between(X1,X0,X2)
| equidistant(X5,X5,continuous(X0,X1,X4,X0,X2,X3),X0) )
| ~ spl0_27
| ~ spl0_222 ),
inference(resolution,[],[f2832,f170]) ).
fof(f17106,plain,
( spl0_803
| ~ spl0_53
| ~ spl0_214 ),
inference(avatar_split_clause,[],[f2726,f2516,f408,f17104]) ).
fof(f17104,plain,
( spl0_803
<=> ! [X2,X4,X0,X3,X1] :
( X0 = X1
| ~ between(extension(X2,X1,X0,X3),X3,X4)
| ~ equidistant(X0,X1,extension(X2,X1,X0,X3),X3)
| equidistant(extension(X0,X1,X3,X4),X3,X4,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_803])]) ).
fof(f408,plain,
( spl0_53
<=> ! [X0,X3,X2,X1] : equidistant(X0,X1,extension(X2,X3,X0,X1),X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f2516,plain,
( spl0_214
<=> ! [X4,X0,X3,X2,X1] :
( X0 = X1
| ~ equidistant(X0,X2,X3,X1)
| ~ between(X3,X2,X4)
| ~ equidistant(X0,X1,X3,X2)
| equidistant(extension(X0,X1,X2,X4),X2,X4,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_214])]) ).
fof(f2726,plain,
( ! [X2,X3,X0,X1,X4] :
( X0 = X1
| ~ between(extension(X2,X1,X0,X3),X3,X4)
| ~ equidistant(X0,X1,extension(X2,X1,X0,X3),X3)
| equidistant(extension(X0,X1,X3,X4),X3,X4,X1) )
| ~ spl0_53
| ~ spl0_214 ),
inference(resolution,[],[f2517,f409]) ).
fof(f409,plain,
( ! [X2,X3,X0,X1] : equidistant(X0,X1,extension(X2,X3,X0,X1),X3)
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f2517,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ equidistant(X0,X2,X3,X1)
| X0 = X1
| ~ between(X3,X2,X4)
| ~ equidistant(X0,X1,X3,X2)
| equidistant(extension(X0,X1,X2,X4),X2,X4,X1) )
| ~ spl0_214 ),
inference(avatar_component_clause,[],[f2516]) ).
fof(f17102,plain,
( spl0_802
| ~ spl0_12
| ~ spl0_165 ),
inference(avatar_split_clause,[],[f1892,f1852,f77,f17100]) ).
fof(f17100,plain,
( spl0_802
<=> ! [X5,X4,X0,X3,X2,X1] :
( inner_pasch(X0,inner_pasch(extension(X1,X0,X2,X3),X4,X0,X0,X5),extension(X1,X0,X2,X3),X0,X1) = X0
| ~ between(extension(X1,X0,X2,X3),X4,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_802])]) ).
fof(f77,plain,
( spl0_12
<=> ! [X3,X0,X5,X1] : between(X0,X1,extension(X0,X1,X5,X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f1852,plain,
( spl0_165
<=> ! [X2,X4,X0,X3,X1] :
( inner_pasch(X0,inner_pasch(X1,X2,X0,X0,X3),X1,X0,X4) = X0
| ~ between(X4,X0,X1)
| ~ between(X1,X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).
fof(f1892,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( inner_pasch(X0,inner_pasch(extension(X1,X0,X2,X3),X4,X0,X0,X5),extension(X1,X0,X2,X3),X0,X1) = X0
| ~ between(extension(X1,X0,X2,X3),X4,X0) )
| ~ spl0_12
| ~ spl0_165 ),
inference(resolution,[],[f1853,f78]) ).
fof(f78,plain,
( ! [X3,X0,X1,X5] : between(X0,X1,extension(X0,X1,X5,X3))
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f1853,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ between(X4,X0,X1)
| inner_pasch(X0,inner_pasch(X1,X2,X0,X0,X3),X1,X0,X4) = X0
| ~ between(X1,X2,X0) )
| ~ spl0_165 ),
inference(avatar_component_clause,[],[f1852]) ).
fof(f17098,plain,
( spl0_801
| ~ spl0_12
| ~ spl0_164 ),
inference(avatar_split_clause,[],[f1864,f1848,f77,f17096]) ).
fof(f17096,plain,
( spl0_801
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ between(extension(X0,X1,X2,X3),X4,X1)
| inner_pasch(X1,inner_pasch(X5,X1,X1,X4,extension(X0,X1,X2,X3)),extension(X0,X1,X2,X3),X1,X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_801])]) ).
fof(f1848,plain,
( spl0_164
<=> ! [X4,X0,X3,X2,X1] :
( inner_pasch(X0,inner_pasch(X1,X0,X0,X2,X3),X3,X0,X4) = X0
| ~ between(X3,X2,X0)
| ~ between(X4,X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).
fof(f1864,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(extension(X0,X1,X2,X3),X4,X1)
| inner_pasch(X1,inner_pasch(X5,X1,X1,X4,extension(X0,X1,X2,X3)),extension(X0,X1,X2,X3),X1,X0) = X1 )
| ~ spl0_12
| ~ spl0_164 ),
inference(resolution,[],[f1849,f78]) ).
fof(f1849,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ between(X4,X0,X3)
| ~ between(X3,X2,X0)
| inner_pasch(X0,inner_pasch(X1,X0,X0,X2,X3),X3,X0,X4) = X0 )
| ~ spl0_164 ),
inference(avatar_component_clause,[],[f1848]) ).
fof(f17094,plain,
( spl0_800
| ~ spl0_18
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f1321,f1307,f109,f17092]) ).
fof(f17092,plain,
( spl0_800
<=> ! [X2,X4,X0,X3,X1] :
( inner_pasch(X0,euclid2(X1,X2,X3,X0,X4),euclid2(X1,X2,X3,X0,X4),X0,X1) = X0
| ~ between(X2,X3,X0)
| ~ between(X1,X3,X4)
| X1 = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_800])]) ).
fof(f109,plain,
( spl0_18
<=> ! [X10,X0,X5,X3,X1] :
( X5 = X10
| ~ between(X3,X5,X0)
| ~ between(X10,X5,X1)
| between(X10,X0,euclid2(X10,X3,X5,X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f1307,plain,
( spl0_130
<=> ! [X2,X0,X1] :
( ~ between(X0,X1,X2)
| inner_pasch(X1,X2,X2,X1,X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f1321,plain,
( ! [X2,X3,X0,X1,X4] :
( inner_pasch(X0,euclid2(X1,X2,X3,X0,X4),euclid2(X1,X2,X3,X0,X4),X0,X1) = X0
| ~ between(X2,X3,X0)
| ~ between(X1,X3,X4)
| X1 = X3 )
| ~ spl0_18
| ~ spl0_130 ),
inference(resolution,[],[f1308,f110]) ).
fof(f110,plain,
( ! [X3,X10,X0,X1,X5] :
( between(X10,X0,euclid2(X10,X3,X5,X0,X1))
| ~ between(X3,X5,X0)
| ~ between(X10,X5,X1)
| X5 = X10 )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f1308,plain,
( ! [X2,X0,X1] :
( ~ between(X0,X1,X2)
| inner_pasch(X1,X2,X2,X1,X0) = X1 )
| ~ spl0_130 ),
inference(avatar_component_clause,[],[f1307]) ).
fof(f17090,plain,
( spl0_799
| ~ spl0_17
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f1320,f1307,f105,f17088]) ).
fof(f17088,plain,
( spl0_799
<=> ! [X2,X4,X0,X3,X1] :
( inner_pasch(X0,euclid1(X1,X0,X2,X3,X4),euclid1(X1,X0,X2,X3,X4),X0,X1) = X0
| ~ between(X0,X2,X3)
| ~ between(X1,X2,X4)
| X1 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_799])]) ).
fof(f105,plain,
( spl0_17
<=> ! [X10,X0,X5,X3,X1] :
( X5 = X10
| ~ between(X3,X5,X0)
| ~ between(X10,X5,X1)
| between(X10,X3,euclid1(X10,X3,X5,X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f1320,plain,
( ! [X2,X3,X0,X1,X4] :
( inner_pasch(X0,euclid1(X1,X0,X2,X3,X4),euclid1(X1,X0,X2,X3,X4),X0,X1) = X0
| ~ between(X0,X2,X3)
| ~ between(X1,X2,X4)
| X1 = X2 )
| ~ spl0_17
| ~ spl0_130 ),
inference(resolution,[],[f1308,f106]) ).
fof(f106,plain,
( ! [X3,X10,X0,X1,X5] :
( between(X10,X3,euclid1(X10,X3,X5,X0,X1))
| ~ between(X3,X5,X0)
| ~ between(X10,X5,X1)
| X5 = X10 )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f17086,plain,
( spl0_798
| ~ spl0_73
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f1287,f1265,f606,f17084]) ).
fof(f17084,plain,
( spl0_798
<=> ! [X2,X4,X0,X5,X3,X1] :
( equidistant(X0,X1,X1,continuous(X1,X2,X3,X0,X4,X5))
| ~ between(X1,X2,X4)
| ~ equidistant(X1,X4,X1,X5)
| ~ equidistant(X1,X2,X1,X3)
| ~ between(X2,X0,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_798])]) ).
fof(f606,plain,
( spl0_73
<=> ! [X2,X4,X0,X5,X3,X1] :
( equidistant(X0,continuous(X0,X1,X2,X3,X4,X5),X3,X0)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X5)
| ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f1287,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( equidistant(X0,X1,X1,continuous(X1,X2,X3,X0,X4,X5))
| ~ between(X1,X2,X4)
| ~ equidistant(X1,X4,X1,X5)
| ~ equidistant(X1,X2,X1,X3)
| ~ between(X2,X0,X4) )
| ~ spl0_73
| ~ spl0_129 ),
inference(resolution,[],[f1266,f607]) ).
fof(f607,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( equidistant(X0,continuous(X0,X1,X2,X3,X4,X5),X3,X0)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X5)
| ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4) )
| ~ spl0_73 ),
inference(avatar_component_clause,[],[f606]) ).
fof(f17082,plain,
( spl0_792
| ~ spl0_3
| ~ spl0_55
| ~ spl0_578 ),
inference(avatar_split_clause,[],[f11691,f11678,f434,f35,f16265]) ).
fof(f35,plain,
( spl0_3
<=> between(u,v,w) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f11678,plain,
( spl0_578
<=> ! [X0] :
( ~ between(u,v,X0)
| equidistant(X0,w,X0,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_578])]) ).
fof(f11691,plain,
( ! [X0] :
( ~ between(u,v,w)
| equidistant(w,w1,X0,X0) )
| ~ spl0_55
| ~ spl0_578 ),
inference(resolution,[],[f11679,f435]) ).
fof(f11679,plain,
( ! [X0] :
( equidistant(X0,w,X0,w1)
| ~ between(u,v,X0) )
| ~ spl0_578 ),
inference(avatar_component_clause,[],[f11678]) ).
fof(f17081,plain,
( spl0_797
| ~ spl0_91
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f1197,f1174,f847,f17079]) ).
fof(f17079,plain,
( spl0_797
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X4,X0,X5)
| ~ between(X0,X1,X4)
| equidistant(X0,continuous(X0,X1,X2,X3,X4,X5),X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_797])]) ).
fof(f847,plain,
( spl0_91
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ equidistant(X0,X3,X0,X4)
| ~ between(X3,X5,X1)
| ~ equidistant(X0,X5,X6,extension(X7,X6,X8,X9))
| ~ between(X0,X3,X1)
| equidistant(X0,continuous(X0,X3,X4,X5,X1,X2),X8,X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f1174,plain,
( spl0_124
<=> ! [X0,X3,X2,X1] : equidistant(X0,X1,X2,extension(X3,X2,X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f1197,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X4,X0,X5)
| ~ between(X0,X1,X4)
| equidistant(X0,continuous(X0,X1,X2,X3,X4,X5),X0,X3) )
| ~ spl0_91
| ~ spl0_124 ),
inference(resolution,[],[f1175,f848]) ).
fof(f848,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X5,X6,extension(X7,X6,X8,X9))
| ~ equidistant(X0,X3,X0,X4)
| ~ between(X3,X5,X1)
| ~ equidistant(X0,X1,X0,X2)
| ~ between(X0,X3,X1)
| equidistant(X0,continuous(X0,X3,X4,X5,X1,X2),X8,X9) )
| ~ spl0_91 ),
inference(avatar_component_clause,[],[f847]) ).
fof(f1175,plain,
( ! [X2,X3,X0,X1] : equidistant(X0,X1,X2,extension(X3,X2,X0,X1))
| ~ spl0_124 ),
inference(avatar_component_clause,[],[f1174]) ).
fof(f17077,plain,
( spl0_796
| ~ spl0_70
| ~ spl0_123 ),
inference(avatar_split_clause,[],[f1179,f1170,f560,f17075]) ).
fof(f17075,plain,
( spl0_796
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ between(extension(X0,X1,X2,X3),X1,X4)
| extension(X0,X1,X2,X3) = X1
| ~ between(X3,X2,X5)
| ~ equidistant(X1,X4,X2,X5)
| equidistant(X4,X1,X5,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_796])]) ).
fof(f560,plain,
( spl0_70
<=> ! [X5,X6,X4,X3,X2,X1] :
( ~ equidistant(X3,X1,X4,X2)
| ~ between(X3,X1,X5)
| X1 = X3
| ~ between(X4,X2,X6)
| ~ equidistant(X1,X5,X2,X6)
| equidistant(X5,X1,X6,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f1170,plain,
( spl0_123
<=> ! [X2,X0,X1,X3] : equidistant(extension(X0,X1,X2,X3),X1,X3,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f1179,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(extension(X0,X1,X2,X3),X1,X4)
| extension(X0,X1,X2,X3) = X1
| ~ between(X3,X2,X5)
| ~ equidistant(X1,X4,X2,X5)
| equidistant(X4,X1,X5,X2) )
| ~ spl0_70
| ~ spl0_123 ),
inference(resolution,[],[f1171,f561]) ).
fof(f561,plain,
( ! [X2,X3,X1,X6,X4,X5] :
( ~ equidistant(X3,X1,X4,X2)
| ~ between(X3,X1,X5)
| X1 = X3
| ~ between(X4,X2,X6)
| ~ equidistant(X1,X5,X2,X6)
| equidistant(X5,X1,X6,X2) )
| ~ spl0_70 ),
inference(avatar_component_clause,[],[f560]) ).
fof(f1171,plain,
( ! [X2,X3,X0,X1] : equidistant(extension(X0,X1,X2,X3),X1,X3,X2)
| ~ spl0_123 ),
inference(avatar_component_clause,[],[f1170]) ).
fof(f16737,plain,
( spl0_795
| ~ spl0_129
| ~ spl0_576 ),
inference(avatar_split_clause,[],[f11641,f11602,f1265,f16735]) ).
fof(f16735,plain,
( spl0_795
<=> ! [X0] :
( ~ between(v,u,X0)
| equidistant(X0,w1,X0,w) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_795])]) ).
fof(f11602,plain,
( spl0_576
<=> ! [X0] :
( ~ between(v,u,X0)
| equidistant(X0,w,X0,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_576])]) ).
fof(f11641,plain,
( ! [X0] :
( ~ between(v,u,X0)
| equidistant(X0,w1,X0,w) )
| ~ spl0_129
| ~ spl0_576 ),
inference(resolution,[],[f11603,f1266]) ).
fof(f11603,plain,
( ! [X0] :
( equidistant(X0,w,X0,w1)
| ~ between(v,u,X0) )
| ~ spl0_576 ),
inference(avatar_component_clause,[],[f11602]) ).
fof(f16577,plain,
( spl0_794
| ~ spl0_27
| ~ spl0_576 ),
inference(avatar_split_clause,[],[f11637,f11602,f169,f16575]) ).
fof(f16575,plain,
( spl0_794
<=> ! [X0] :
( ~ between(v,u,X0)
| equidistant(X0,w1,w,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_794])]) ).
fof(f11637,plain,
( ! [X0] :
( ~ between(v,u,X0)
| equidistant(X0,w1,w,X0) )
| ~ spl0_27
| ~ spl0_576 ),
inference(resolution,[],[f11603,f170]) ).
fof(f16271,plain,
( spl0_792
| ~ spl0_793
| ~ spl0_55
| ~ spl0_576 ),
inference(avatar_split_clause,[],[f11615,f11602,f434,f16268,f16265]) ).
fof(f16268,plain,
( spl0_793
<=> between(v,u,w) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_793])]) ).
fof(f11615,plain,
( ! [X0] :
( ~ between(v,u,w)
| equidistant(w,w1,X0,X0) )
| ~ spl0_55
| ~ spl0_576 ),
inference(resolution,[],[f11603,f435]) ).
fof(f16255,plain,
( spl0_791
| ~ spl0_63
| ~ spl0_256 ),
inference(avatar_split_clause,[],[f3835,f3681,f491,f16253]) ).
fof(f16253,plain,
( spl0_791
<=> ! [X4,X0,X3,X2,X1] :
( ~ between(X0,X1,w1)
| ~ equidistant(v,X1,X2,X2)
| ~ between(v,X0,w1)
| ~ equidistant(v,X0,v,X3)
| equidistant(X4,X4,v,continuous(v,X0,X3,X1,w1,w)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_791])]) ).
fof(f491,plain,
( spl0_63
<=> equidistant(v,w1,v,w) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f3835,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ between(X0,X1,w1)
| ~ equidistant(v,X1,X2,X2)
| ~ between(v,X0,w1)
| ~ equidistant(v,X0,v,X3)
| equidistant(X4,X4,v,continuous(v,X0,X3,X1,w1,w)) )
| ~ spl0_63
| ~ spl0_256 ),
inference(resolution,[],[f3682,f493]) ).
fof(f493,plain,
( equidistant(v,w1,v,w)
| ~ spl0_63 ),
inference(avatar_component_clause,[],[f491]) ).
fof(f16251,plain,
( spl0_790
| ~ spl0_57
| ~ spl0_256 ),
inference(avatar_split_clause,[],[f3834,f3681,f449,f16249]) ).
fof(f16249,plain,
( spl0_790
<=> ! [X4,X0,X3,X2,X1] :
( ~ between(X0,X1,w1)
| ~ equidistant(u,X1,X2,X2)
| ~ between(u,X0,w1)
| ~ equidistant(u,X0,u,X3)
| equidistant(X4,X4,u,continuous(u,X0,X3,X1,w1,w)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_790])]) ).
fof(f449,plain,
( spl0_57
<=> equidistant(u,w1,u,w) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f3834,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ between(X0,X1,w1)
| ~ equidistant(u,X1,X2,X2)
| ~ between(u,X0,w1)
| ~ equidistant(u,X0,u,X3)
| equidistant(X4,X4,u,continuous(u,X0,X3,X1,w1,w)) )
| ~ spl0_57
| ~ spl0_256 ),
inference(resolution,[],[f3682,f451]) ).
fof(f451,plain,
( equidistant(u,w1,u,w)
| ~ spl0_57 ),
inference(avatar_component_clause,[],[f449]) ).
fof(f16247,plain,
( spl0_789
| ~ spl0_8
| ~ spl0_256 ),
inference(avatar_split_clause,[],[f3829,f3681,f60,f16245]) ).
fof(f16245,plain,
( spl0_789
<=> ! [X4,X0,X3,X2,X1] :
( ~ between(X0,X1,w)
| ~ equidistant(v,X1,X2,X2)
| ~ between(v,X0,w)
| ~ equidistant(v,X0,v,X3)
| equidistant(X4,X4,v,continuous(v,X0,X3,X1,w,w1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_789])]) ).
fof(f60,plain,
( spl0_8
<=> equidistant(v,w,v,w1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f3829,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ between(X0,X1,w)
| ~ equidistant(v,X1,X2,X2)
| ~ between(v,X0,w)
| ~ equidistant(v,X0,v,X3)
| equidistant(X4,X4,v,continuous(v,X0,X3,X1,w,w1)) )
| ~ spl0_8
| ~ spl0_256 ),
inference(resolution,[],[f3682,f62]) ).
fof(f62,plain,
( equidistant(v,w,v,w1)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f16243,plain,
( spl0_788
| ~ spl0_7
| ~ spl0_256 ),
inference(avatar_split_clause,[],[f3828,f3681,f55,f16241]) ).
fof(f16241,plain,
( spl0_788
<=> ! [X4,X0,X3,X2,X1] :
( ~ between(X0,X1,w)
| ~ equidistant(u,X1,X2,X2)
| ~ between(u,X0,w)
| ~ equidistant(u,X0,u,X3)
| equidistant(X4,X4,u,continuous(u,X0,X3,X1,w,w1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_788])]) ).
fof(f55,plain,
( spl0_7
<=> equidistant(u,w,u,w1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f3828,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ between(X0,X1,w)
| ~ equidistant(u,X1,X2,X2)
| ~ between(u,X0,w)
| ~ equidistant(u,X0,u,X3)
| equidistant(X4,X4,u,continuous(u,X0,X3,X1,w,w1)) )
| ~ spl0_7
| ~ spl0_256 ),
inference(resolution,[],[f3682,f57]) ).
fof(f57,plain,
( equidistant(u,w,u,w1)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f16239,plain,
( spl0_787
| ~ spl0_63
| ~ spl0_251 ),
inference(avatar_split_clause,[],[f3713,f3660,f491,f16237]) ).
fof(f16237,plain,
( spl0_787
<=> ! [X4,X0,X3,X2,X1] :
( equidistant(v,continuous(v,X0,X1,X2,w1,w),X3,X3)
| ~ equidistant(v,X0,v,X1)
| ~ between(X0,X2,w1)
| ~ equidistant(v,X2,X4,X4)
| ~ between(v,X0,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_787])]) ).
fof(f3713,plain,
( ! [X2,X3,X0,X1,X4] :
( equidistant(v,continuous(v,X0,X1,X2,w1,w),X3,X3)
| ~ equidistant(v,X0,v,X1)
| ~ between(X0,X2,w1)
| ~ equidistant(v,X2,X4,X4)
| ~ between(v,X0,w1) )
| ~ spl0_63
| ~ spl0_251 ),
inference(resolution,[],[f3661,f493]) ).
fof(f16235,plain,
( spl0_786
| ~ spl0_57
| ~ spl0_251 ),
inference(avatar_split_clause,[],[f3712,f3660,f449,f16233]) ).
fof(f16233,plain,
( spl0_786
<=> ! [X4,X0,X3,X2,X1] :
( equidistant(u,continuous(u,X0,X1,X2,w1,w),X3,X3)
| ~ equidistant(u,X0,u,X1)
| ~ between(X0,X2,w1)
| ~ equidistant(u,X2,X4,X4)
| ~ between(u,X0,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_786])]) ).
fof(f3712,plain,
( ! [X2,X3,X0,X1,X4] :
( equidistant(u,continuous(u,X0,X1,X2,w1,w),X3,X3)
| ~ equidistant(u,X0,u,X1)
| ~ between(X0,X2,w1)
| ~ equidistant(u,X2,X4,X4)
| ~ between(u,X0,w1) )
| ~ spl0_57
| ~ spl0_251 ),
inference(resolution,[],[f3661,f451]) ).
fof(f16231,plain,
( spl0_785
| ~ spl0_8
| ~ spl0_251 ),
inference(avatar_split_clause,[],[f3707,f3660,f60,f16229]) ).
fof(f16229,plain,
( spl0_785
<=> ! [X4,X0,X3,X2,X1] :
( equidistant(v,continuous(v,X0,X1,X2,w,w1),X3,X3)
| ~ equidistant(v,X0,v,X1)
| ~ between(X0,X2,w)
| ~ equidistant(v,X2,X4,X4)
| ~ between(v,X0,w) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_785])]) ).
fof(f3707,plain,
( ! [X2,X3,X0,X1,X4] :
( equidistant(v,continuous(v,X0,X1,X2,w,w1),X3,X3)
| ~ equidistant(v,X0,v,X1)
| ~ between(X0,X2,w)
| ~ equidistant(v,X2,X4,X4)
| ~ between(v,X0,w) )
| ~ spl0_8
| ~ spl0_251 ),
inference(resolution,[],[f3661,f62]) ).
fof(f16227,plain,
( spl0_784
| ~ spl0_7
| ~ spl0_251 ),
inference(avatar_split_clause,[],[f3706,f3660,f55,f16225]) ).
fof(f16225,plain,
( spl0_784
<=> ! [X4,X0,X3,X2,X1] :
( equidistant(u,continuous(u,X0,X1,X2,w,w1),X3,X3)
| ~ equidistant(u,X0,u,X1)
| ~ between(X0,X2,w)
| ~ equidistant(u,X2,X4,X4)
| ~ between(u,X0,w) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_784])]) ).
fof(f3706,plain,
( ! [X2,X3,X0,X1,X4] :
( equidistant(u,continuous(u,X0,X1,X2,w,w1),X3,X3)
| ~ equidistant(u,X0,u,X1)
| ~ between(X0,X2,w)
| ~ equidistant(u,X2,X4,X4)
| ~ between(u,X0,w) )
| ~ spl0_7
| ~ spl0_251 ),
inference(resolution,[],[f3661,f57]) ).
fof(f16223,plain,
( spl0_783
| ~ spl0_53
| ~ spl0_535 ),
inference(avatar_split_clause,[],[f10176,f10101,f408,f16221]) ).
fof(f16221,plain,
( spl0_783
<=> ! [X0,X1] : equidistant(extension(X0,X1,w,v),X1,w1,v) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_783])]) ).
fof(f10101,plain,
( spl0_535
<=> ! [X0,X1] :
( ~ equidistant(w,v,X0,X1)
| equidistant(X0,X1,w1,v) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_535])]) ).
fof(f10176,plain,
( ! [X0,X1] : equidistant(extension(X0,X1,w,v),X1,w1,v)
| ~ spl0_53
| ~ spl0_535 ),
inference(resolution,[],[f10102,f409]) ).
fof(f10102,plain,
( ! [X0,X1] :
( ~ equidistant(w,v,X0,X1)
| equidistant(X0,X1,w1,v) )
| ~ spl0_535 ),
inference(avatar_component_clause,[],[f10101]) ).
fof(f16219,plain,
( spl0_782
| ~ spl0_134
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f3300,f2151,f1368,f16217]) ).
fof(f16217,plain,
( spl0_782
<=> ! [X0,X3,X2,X1] :
( ~ equidistant(X0,u,extension(X1,u,X2,X3),w)
| ~ between(extension(X1,u,X2,X3),w,u)
| ~ between(X0,u,w1)
| u = X0
| ~ equidistant(X2,X3,X0,w) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_782])]) ).
fof(f1368,plain,
( spl0_134
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,extension(X4,X5,X0,X1),X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).
fof(f2151,plain,
( spl0_181
<=> ! [X0,X1] :
( ~ between(X0,u,w1)
| ~ equidistant(X0,u,X1,w)
| ~ between(X1,w,u)
| ~ equidistant(X0,w,X1,u)
| u = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).
fof(f3300,plain,
( ! [X2,X3,X0,X1] :
( ~ equidistant(X0,u,extension(X1,u,X2,X3),w)
| ~ between(extension(X1,u,X2,X3),w,u)
| ~ between(X0,u,w1)
| u = X0
| ~ equidistant(X2,X3,X0,w) )
| ~ spl0_134
| ~ spl0_181 ),
inference(resolution,[],[f2152,f1369]) ).
fof(f1369,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( equidistant(X2,X3,extension(X4,X5,X0,X1),X5)
| ~ equidistant(X0,X1,X2,X3) )
| ~ spl0_134 ),
inference(avatar_component_clause,[],[f1368]) ).
fof(f2152,plain,
( ! [X0,X1] :
( ~ equidistant(X0,w,X1,u)
| ~ equidistant(X0,u,X1,w)
| ~ between(X1,w,u)
| ~ between(X0,u,w1)
| u = X0 )
| ~ spl0_181 ),
inference(avatar_component_clause,[],[f2151]) ).
fof(f16215,plain,
( spl0_781
| ~ spl0_134
| ~ spl0_175 ),
inference(avatar_split_clause,[],[f3139,f2112,f1368,f16213]) ).
fof(f16213,plain,
( spl0_781
<=> ! [X0,X3,X2,X1] :
( ~ between(X0,w,u)
| ~ between(extension(X1,u,X2,X3),u,w1)
| ~ equidistant(X0,u,extension(X1,u,X2,X3),w)
| w = X0
| ~ equidistant(X2,X3,X0,w) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_781])]) ).
fof(f2112,plain,
( spl0_175
<=> ! [X0,X1] :
( ~ between(X0,w,u)
| ~ equidistant(X0,w,X1,u)
| ~ between(X1,u,w1)
| ~ equidistant(X0,u,X1,w)
| w = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).
fof(f3139,plain,
( ! [X2,X3,X0,X1] :
( ~ between(X0,w,u)
| ~ between(extension(X1,u,X2,X3),u,w1)
| ~ equidistant(X0,u,extension(X1,u,X2,X3),w)
| w = X0
| ~ equidistant(X2,X3,X0,w) )
| ~ spl0_134
| ~ spl0_175 ),
inference(resolution,[],[f2113,f1369]) ).
fof(f2113,plain,
( ! [X0,X1] :
( ~ equidistant(X0,w,X1,u)
| ~ between(X0,w,u)
| ~ between(X1,u,w1)
| ~ equidistant(X0,u,X1,w)
| w = X0 )
| ~ spl0_175 ),
inference(avatar_component_clause,[],[f2112]) ).
fof(f16211,plain,
( spl0_780
| ~ spl0_128
| ~ spl0_226 ),
inference(avatar_split_clause,[],[f2950,f2858,f1229,f16209]) ).
fof(f16209,plain,
( spl0_780
<=> ! [X0,X3,X2,X1] :
( ~ equidistant(w1,X0,w1,X1)
| ~ equidistant(w1,X2,w1,X3)
| ~ between(X2,v,X0)
| ~ between(w1,X2,X0)
| equidistant(continuous(w1,X2,X3,v,X0,X1),w1,w,v) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_780])]) ).
fof(f1229,plain,
( spl0_128
<=> ! [X0,X1] :
( ~ equidistant(v,w1,X0,X1)
| equidistant(X0,X1,w,v) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
fof(f2950,plain,
( ! [X2,X3,X0,X1] :
( ~ equidistant(w1,X0,w1,X1)
| ~ equidistant(w1,X2,w1,X3)
| ~ between(X2,v,X0)
| ~ between(w1,X2,X0)
| equidistant(continuous(w1,X2,X3,v,X0,X1),w1,w,v) )
| ~ spl0_128
| ~ spl0_226 ),
inference(resolution,[],[f2859,f1230]) ).
fof(f1230,plain,
( ! [X0,X1] :
( ~ equidistant(v,w1,X0,X1)
| equidistant(X0,X1,w,v) )
| ~ spl0_128 ),
inference(avatar_component_clause,[],[f1229]) ).
fof(f16207,plain,
( spl0_779
| ~ spl0_26
| ~ spl0_226 ),
inference(avatar_split_clause,[],[f2949,f2858,f159,f16205]) ).
fof(f16205,plain,
( spl0_779
<=> ! [X0,X3,X2,X1] :
( ~ equidistant(w,X0,w,X1)
| ~ equidistant(w,X2,w,X3)
| ~ between(X2,v,X0)
| ~ between(w,X2,X0)
| equidistant(continuous(w,X2,X3,v,X0,X1),w,v,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_779])]) ).
fof(f159,plain,
( spl0_26
<=> ! [X0,X1] :
( ~ equidistant(v,w,X0,X1)
| equidistant(X0,X1,v,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f2949,plain,
( ! [X2,X3,X0,X1] :
( ~ equidistant(w,X0,w,X1)
| ~ equidistant(w,X2,w,X3)
| ~ between(X2,v,X0)
| ~ between(w,X2,X0)
| equidistant(continuous(w,X2,X3,v,X0,X1),w,v,w1) )
| ~ spl0_26
| ~ spl0_226 ),
inference(resolution,[],[f2859,f160]) ).
fof(f160,plain,
( ! [X0,X1] :
( ~ equidistant(v,w,X0,X1)
| equidistant(X0,X1,v,w1) )
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f16203,plain,
( spl0_778
| ~ spl0_127
| ~ spl0_226 ),
inference(avatar_split_clause,[],[f2948,f2858,f1225,f16201]) ).
fof(f16201,plain,
( spl0_778
<=> ! [X0,X3,X2,X1] :
( ~ equidistant(w1,X0,w1,X1)
| ~ equidistant(w1,X2,w1,X3)
| ~ between(X2,u,X0)
| ~ between(w1,X2,X0)
| equidistant(continuous(w1,X2,X3,u,X0,X1),w1,w,u) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_778])]) ).
fof(f1225,plain,
( spl0_127
<=> ! [X0,X1] :
( ~ equidistant(u,w1,X0,X1)
| equidistant(X0,X1,w,u) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f2948,plain,
( ! [X2,X3,X0,X1] :
( ~ equidistant(w1,X0,w1,X1)
| ~ equidistant(w1,X2,w1,X3)
| ~ between(X2,u,X0)
| ~ between(w1,X2,X0)
| equidistant(continuous(w1,X2,X3,u,X0,X1),w1,w,u) )
| ~ spl0_127
| ~ spl0_226 ),
inference(resolution,[],[f2859,f1226]) ).
fof(f1226,plain,
( ! [X0,X1] :
( ~ equidistant(u,w1,X0,X1)
| equidistant(X0,X1,w,u) )
| ~ spl0_127 ),
inference(avatar_component_clause,[],[f1225]) ).
fof(f16199,plain,
( spl0_777
| ~ spl0_25
| ~ spl0_226 ),
inference(avatar_split_clause,[],[f2947,f2858,f155,f16197]) ).
fof(f16197,plain,
( spl0_777
<=> ! [X0,X3,X2,X1] :
( ~ equidistant(w,X0,w,X1)
| ~ equidistant(w,X2,w,X3)
| ~ between(X2,u,X0)
| ~ between(w,X2,X0)
| equidistant(continuous(w,X2,X3,u,X0,X1),w,u,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_777])]) ).
fof(f155,plain,
( spl0_25
<=> ! [X0,X1] :
( ~ equidistant(u,w,X0,X1)
| equidistant(X0,X1,u,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f2947,plain,
( ! [X2,X3,X0,X1] :
( ~ equidistant(w,X0,w,X1)
| ~ equidistant(w,X2,w,X3)
| ~ between(X2,u,X0)
| ~ between(w,X2,X0)
| equidistant(continuous(w,X2,X3,u,X0,X1),w,u,w1) )
| ~ spl0_25
| ~ spl0_226 ),
inference(resolution,[],[f2859,f156]) ).
fof(f156,plain,
( ! [X0,X1] :
( ~ equidistant(u,w,X0,X1)
| equidistant(X0,X1,u,w1) )
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f16195,plain,
( spl0_776
| ~ spl0_129
| ~ spl0_221 ),
inference(avatar_split_clause,[],[f2827,f2797,f1265,f16193]) ).
fof(f16193,plain,
( spl0_776
<=> ! [X0,X3,X2,X1] :
( ~ equidistant(v,X0,v,X1)
| ~ equidistant(v,X2,v,X3)
| ~ between(X2,w,X0)
| ~ between(v,X2,X0)
| equidistant(continuous(v,X2,X3,w,X0,X1),v,v,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_776])]) ).
fof(f2797,plain,
( spl0_221
<=> ! [X0,X3,X2,X1] :
( ~ between(v,X0,X1)
| ~ equidistant(v,X1,v,X2)
| ~ equidistant(v,X0,v,X3)
| ~ between(X0,w,X1)
| equidistant(v,w1,continuous(v,X0,X3,w,X1,X2),v) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_221])]) ).
fof(f2827,plain,
( ! [X2,X3,X0,X1] :
( ~ equidistant(v,X0,v,X1)
| ~ equidistant(v,X2,v,X3)
| ~ between(X2,w,X0)
| ~ between(v,X2,X0)
| equidistant(continuous(v,X2,X3,w,X0,X1),v,v,w1) )
| ~ spl0_129
| ~ spl0_221 ),
inference(resolution,[],[f2798,f1266]) ).
fof(f2798,plain,
( ! [X2,X3,X0,X1] :
( equidistant(v,w1,continuous(v,X0,X3,w,X1,X2),v)
| ~ equidistant(v,X1,v,X2)
| ~ equidistant(v,X0,v,X3)
| ~ between(X0,w,X1)
| ~ between(v,X0,X1) )
| ~ spl0_221 ),
inference(avatar_component_clause,[],[f2797]) ).
fof(f16191,plain,
( spl0_775
| ~ spl0_27
| ~ spl0_221 ),
inference(avatar_split_clause,[],[f2823,f2797,f169,f16189]) ).
fof(f16189,plain,
( spl0_775
<=> ! [X0,X3,X2,X1] :
( ~ equidistant(v,X0,v,X1)
| ~ equidistant(v,X2,v,X3)
| ~ between(X2,w,X0)
| ~ between(v,X2,X0)
| equidistant(continuous(v,X2,X3,w,X0,X1),v,w1,v) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_775])]) ).
fof(f2823,plain,
( ! [X2,X3,X0,X1] :
( ~ equidistant(v,X0,v,X1)
| ~ equidistant(v,X2,v,X3)
| ~ between(X2,w,X0)
| ~ between(v,X2,X0)
| equidistant(continuous(v,X2,X3,w,X0,X1),v,w1,v) )
| ~ spl0_27
| ~ spl0_221 ),
inference(resolution,[],[f2798,f170]) ).
fof(f16187,plain,
( spl0_774
| ~ spl0_129
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f2817,f2793,f1265,f16185]) ).
fof(f16185,plain,
( spl0_774
<=> ! [X0,X3,X2,X1] :
( ~ equidistant(u,X0,u,X1)
| ~ equidistant(u,X2,u,X3)
| ~ between(X2,w,X0)
| ~ between(u,X2,X0)
| equidistant(continuous(u,X2,X3,w,X0,X1),u,u,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_774])]) ).
fof(f2793,plain,
( spl0_220
<=> ! [X0,X3,X2,X1] :
( ~ between(u,X0,X1)
| ~ equidistant(u,X1,u,X2)
| ~ equidistant(u,X0,u,X3)
| ~ between(X0,w,X1)
| equidistant(u,w1,continuous(u,X0,X3,w,X1,X2),u) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_220])]) ).
fof(f2817,plain,
( ! [X2,X3,X0,X1] :
( ~ equidistant(u,X0,u,X1)
| ~ equidistant(u,X2,u,X3)
| ~ between(X2,w,X0)
| ~ between(u,X2,X0)
| equidistant(continuous(u,X2,X3,w,X0,X1),u,u,w1) )
| ~ spl0_129
| ~ spl0_220 ),
inference(resolution,[],[f2794,f1266]) ).
fof(f2794,plain,
( ! [X2,X3,X0,X1] :
( equidistant(u,w1,continuous(u,X0,X3,w,X1,X2),u)
| ~ equidistant(u,X1,u,X2)
| ~ equidistant(u,X0,u,X3)
| ~ between(X0,w,X1)
| ~ between(u,X0,X1) )
| ~ spl0_220 ),
inference(avatar_component_clause,[],[f2793]) ).
fof(f16183,plain,
( spl0_773
| ~ spl0_27
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f2813,f2793,f169,f16181]) ).
fof(f16181,plain,
( spl0_773
<=> ! [X0,X3,X2,X1] :
( ~ equidistant(u,X0,u,X1)
| ~ equidistant(u,X2,u,X3)
| ~ between(X2,w,X0)
| ~ between(u,X2,X0)
| equidistant(continuous(u,X2,X3,w,X0,X1),u,w1,u) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_773])]) ).
fof(f2813,plain,
( ! [X2,X3,X0,X1] :
( ~ equidistant(u,X0,u,X1)
| ~ equidistant(u,X2,u,X3)
| ~ between(X2,w,X0)
| ~ between(u,X2,X0)
| equidistant(continuous(u,X2,X3,w,X0,X1),u,w1,u) )
| ~ spl0_27
| ~ spl0_220 ),
inference(resolution,[],[f2794,f170]) ).
fof(f16179,plain,
( spl0_772
| ~ spl0_124
| ~ spl0_535 ),
inference(avatar_split_clause,[],[f10174,f10101,f1174,f16177]) ).
fof(f16177,plain,
( spl0_772
<=> ! [X0,X1] : equidistant(X0,extension(X1,X0,w,v),w1,v) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_772])]) ).
fof(f10174,plain,
( ! [X0,X1] : equidistant(X0,extension(X1,X0,w,v),w1,v)
| ~ spl0_124
| ~ spl0_535 ),
inference(resolution,[],[f10102,f1175]) ).
fof(f16175,plain,
( spl0_771
| ~ spl0_53
| ~ spl0_212 ),
inference(avatar_split_clause,[],[f2697,f2431,f408,f16173]) ).
fof(f16173,plain,
( spl0_771
<=> ! [X2,X0,X1] :
( ~ equidistant(X0,u,extension(X1,v,X0,v),w1)
| v = X0
| ~ between(extension(X1,v,X0,v),v,X2)
| equidistant(extension(X0,v,v,X2),u,X2,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_771])]) ).
fof(f2431,plain,
( spl0_212
<=> ! [X2,X0,X1] :
( equidistant(extension(X0,v,v,X2),u,X2,w1)
| ~ equidistant(X0,u,X1,w1)
| v = X0
| ~ between(X1,v,X2)
| ~ equidistant(X0,v,X1,v) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_212])]) ).
fof(f2697,plain,
( ! [X2,X0,X1] :
( ~ equidistant(X0,u,extension(X1,v,X0,v),w1)
| v = X0
| ~ between(extension(X1,v,X0,v),v,X2)
| equidistant(extension(X0,v,v,X2),u,X2,w1) )
| ~ spl0_53
| ~ spl0_212 ),
inference(resolution,[],[f2432,f409]) ).
fof(f2432,plain,
( ! [X2,X0,X1] :
( ~ equidistant(X0,v,X1,v)
| ~ equidistant(X0,u,X1,w1)
| v = X0
| ~ between(X1,v,X2)
| equidistant(extension(X0,v,v,X2),u,X2,w1) )
| ~ spl0_212 ),
inference(avatar_component_clause,[],[f2431]) ).
fof(f16171,plain,
( spl0_770
| ~ spl0_53
| ~ spl0_206 ),
inference(avatar_split_clause,[],[f2682,f2377,f408,f16169]) ).
fof(f16169,plain,
( spl0_770
<=> ! [X2,X0,X1] :
( v = X0
| ~ between(extension(X1,w1,X0,w),v,X2)
| ~ equidistant(X0,v,extension(X1,w1,X0,w),v)
| equidistant(extension(X0,v,v,X2),w,X2,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_770])]) ).
fof(f2377,plain,
( spl0_206
<=> ! [X2,X0,X1] :
( v = X0
| ~ equidistant(X0,w,X1,w1)
| ~ between(X1,v,X2)
| ~ equidistant(X0,v,X1,v)
| equidistant(extension(X0,v,v,X2),w,X2,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_206])]) ).
fof(f2682,plain,
( ! [X2,X0,X1] :
( v = X0
| ~ between(extension(X1,w1,X0,w),v,X2)
| ~ equidistant(X0,v,extension(X1,w1,X0,w),v)
| equidistant(extension(X0,v,v,X2),w,X2,w1) )
| ~ spl0_53
| ~ spl0_206 ),
inference(resolution,[],[f2378,f409]) ).
fof(f2378,plain,
( ! [X2,X0,X1] :
( ~ equidistant(X0,w,X1,w1)
| v = X0
| ~ between(X1,v,X2)
| ~ equidistant(X0,v,X1,v)
| equidistant(extension(X0,v,v,X2),w,X2,w1) )
| ~ spl0_206 ),
inference(avatar_component_clause,[],[f2377]) ).
fof(f16167,plain,
( spl0_769
| ~ spl0_53
| ~ spl0_205 ),
inference(avatar_split_clause,[],[f2671,f2371,f408,f16165]) ).
fof(f16165,plain,
( spl0_769
<=> ! [X2,X0,X1] :
( u = X0
| ~ between(extension(X1,w1,X0,w),u,X2)
| ~ equidistant(X0,u,extension(X1,w1,X0,w),u)
| equidistant(extension(X0,u,u,X2),w,X2,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_769])]) ).
fof(f2371,plain,
( spl0_205
<=> ! [X2,X0,X1] :
( u = X0
| ~ equidistant(X0,w,X1,w1)
| ~ between(X1,u,X2)
| ~ equidistant(X0,u,X1,u)
| equidistant(extension(X0,u,u,X2),w,X2,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_205])]) ).
fof(f2671,plain,
( ! [X2,X0,X1] :
( u = X0
| ~ between(extension(X1,w1,X0,w),u,X2)
| ~ equidistant(X0,u,extension(X1,w1,X0,w),u)
| equidistant(extension(X0,u,u,X2),w,X2,w1) )
| ~ spl0_53
| ~ spl0_205 ),
inference(resolution,[],[f2372,f409]) ).
fof(f2372,plain,
( ! [X2,X0,X1] :
( ~ equidistant(X0,w,X1,w1)
| u = X0
| ~ between(X1,u,X2)
| ~ equidistant(X0,u,X1,u)
| equidistant(extension(X0,u,u,X2),w,X2,w1) )
| ~ spl0_205 ),
inference(avatar_component_clause,[],[f2371]) ).
fof(f16163,plain,
( spl0_768
| ~ spl0_53
| ~ spl0_189 ),
inference(avatar_split_clause,[],[f2644,f2220,f408,f16161]) ).
fof(f16161,plain,
( spl0_768
<=> ! [X2,X0,X1] :
( v = X0
| ~ between(X0,v,X1)
| ~ between(extension(X2,w1,X0,w),v,X1)
| ~ equidistant(X0,v,extension(X2,w1,X0,w),v)
| equidistant(X1,w,X1,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_768])]) ).
fof(f2220,plain,
( spl0_189
<=> ! [X2,X0,X1] :
( ~ between(X0,v,X1)
| v = X0
| ~ equidistant(X0,w,X2,w1)
| ~ between(X2,v,X1)
| ~ equidistant(X0,v,X2,v)
| equidistant(X1,w,X1,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).
fof(f2644,plain,
( ! [X2,X0,X1] :
( v = X0
| ~ between(X0,v,X1)
| ~ between(extension(X2,w1,X0,w),v,X1)
| ~ equidistant(X0,v,extension(X2,w1,X0,w),v)
| equidistant(X1,w,X1,w1) )
| ~ spl0_53
| ~ spl0_189 ),
inference(resolution,[],[f2221,f409]) ).
fof(f2221,plain,
( ! [X2,X0,X1] :
( ~ equidistant(X0,w,X2,w1)
| v = X0
| ~ between(X0,v,X1)
| ~ between(X2,v,X1)
| ~ equidistant(X0,v,X2,v)
| equidistant(X1,w,X1,w1) )
| ~ spl0_189 ),
inference(avatar_component_clause,[],[f2220]) ).
fof(f16159,plain,
( spl0_767
| ~ spl0_53
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f2631,f2207,f408,f16157]) ).
fof(f16157,plain,
( spl0_767
<=> ! [X2,X0,X1] :
( u = X0
| ~ between(X0,u,X1)
| ~ between(extension(X2,w1,X0,w),u,X1)
| ~ equidistant(X0,u,extension(X2,w1,X0,w),u)
| equidistant(X1,w,X1,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_767])]) ).
fof(f2207,plain,
( spl0_188
<=> ! [X2,X0,X1] :
( ~ between(X0,u,X1)
| u = X0
| ~ equidistant(X0,w,X2,w1)
| ~ between(X2,u,X1)
| ~ equidistant(X0,u,X2,u)
| equidistant(X1,w,X1,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).
fof(f2631,plain,
( ! [X2,X0,X1] :
( u = X0
| ~ between(X0,u,X1)
| ~ between(extension(X2,w1,X0,w),u,X1)
| ~ equidistant(X0,u,extension(X2,w1,X0,w),u)
| equidistant(X1,w,X1,w1) )
| ~ spl0_53
| ~ spl0_188 ),
inference(resolution,[],[f2208,f409]) ).
fof(f2208,plain,
( ! [X2,X0,X1] :
( ~ equidistant(X0,w,X2,w1)
| u = X0
| ~ between(X0,u,X1)
| ~ between(X2,u,X1)
| ~ equidistant(X0,u,X2,u)
| equidistant(X1,w,X1,w1) )
| ~ spl0_188 ),
inference(avatar_component_clause,[],[f2207]) ).
fof(f16155,plain,
( spl0_766
| ~ spl0_134
| ~ spl0_186 ),
inference(avatar_split_clause,[],[f2607,f2179,f1368,f16153]) ).
fof(f16153,plain,
( spl0_766
<=> ! [X0,X3,X2,X1] :
( ~ equidistant(X0,v,extension(X1,v,X2,X3),w)
| ~ between(extension(X1,v,X2,X3),w,v)
| ~ between(X0,v,w1)
| v = X0
| ~ equidistant(X2,X3,X0,w) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_766])]) ).
fof(f2179,plain,
( spl0_186
<=> ! [X0,X1] :
( ~ between(X0,v,w1)
| ~ equidistant(X0,v,X1,w)
| ~ between(X1,w,v)
| ~ equidistant(X0,w,X1,v)
| v = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).
fof(f2607,plain,
( ! [X2,X3,X0,X1] :
( ~ equidistant(X0,v,extension(X1,v,X2,X3),w)
| ~ between(extension(X1,v,X2,X3),w,v)
| ~ between(X0,v,w1)
| v = X0
| ~ equidistant(X2,X3,X0,w) )
| ~ spl0_134
| ~ spl0_186 ),
inference(resolution,[],[f2180,f1369]) ).
fof(f2180,plain,
( ! [X0,X1] :
( ~ equidistant(X0,w,X1,v)
| ~ equidistant(X0,v,X1,w)
| ~ between(X1,w,v)
| ~ between(X0,v,w1)
| v = X0 )
| ~ spl0_186 ),
inference(avatar_component_clause,[],[f2179]) ).
fof(f16151,plain,
( spl0_765
| ~ spl0_134
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f2599,f2121,f1368,f16149]) ).
fof(f16149,plain,
( spl0_765
<=> ! [X0,X3,X2,X1] :
( ~ between(X0,w,v)
| ~ between(extension(X1,v,X2,X3),v,w1)
| ~ equidistant(X0,v,extension(X1,v,X2,X3),w)
| w = X0
| ~ equidistant(X2,X3,X0,w) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_765])]) ).
fof(f2121,plain,
( spl0_177
<=> ! [X0,X1] :
( ~ between(X0,w,v)
| ~ equidistant(X0,w,X1,v)
| ~ between(X1,v,w1)
| ~ equidistant(X0,v,X1,w)
| w = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).
fof(f2599,plain,
( ! [X2,X3,X0,X1] :
( ~ between(X0,w,v)
| ~ between(extension(X1,v,X2,X3),v,w1)
| ~ equidistant(X0,v,extension(X1,v,X2,X3),w)
| w = X0
| ~ equidistant(X2,X3,X0,w) )
| ~ spl0_134
| ~ spl0_177 ),
inference(resolution,[],[f2122,f1369]) ).
fof(f2122,plain,
( ! [X0,X1] :
( ~ equidistant(X0,w,X1,v)
| ~ between(X0,w,v)
| ~ between(X1,v,w1)
| ~ equidistant(X0,v,X1,w)
| w = X0 )
| ~ spl0_177 ),
inference(avatar_component_clause,[],[f2121]) ).
fof(f16147,plain,
( spl0_764
| ~ spl0_53
| ~ spl0_211 ),
inference(avatar_split_clause,[],[f2499,f2427,f408,f16145]) ).
fof(f16145,plain,
( spl0_764
<=> ! [X2,X0,X1] :
( equidistant(extension(X0,u,u,X1),u,X1,w1)
| u = X0
| ~ between(extension(X2,w1,X0,u),u,X1)
| ~ equidistant(X0,u,extension(X2,w1,X0,u),u) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_764])]) ).
fof(f2427,plain,
( spl0_211
<=> ! [X2,X0,X1] :
( equidistant(extension(X0,u,u,X2),u,X2,w1)
| ~ equidistant(X0,u,X1,w1)
| u = X0
| ~ between(X1,u,X2)
| ~ equidistant(X0,u,X1,u) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_211])]) ).
fof(f2499,plain,
( ! [X2,X0,X1] :
( equidistant(extension(X0,u,u,X1),u,X1,w1)
| u = X0
| ~ between(extension(X2,w1,X0,u),u,X1)
| ~ equidistant(X0,u,extension(X2,w1,X0,u),u) )
| ~ spl0_53
| ~ spl0_211 ),
inference(resolution,[],[f2428,f409]) ).
fof(f2428,plain,
( ! [X2,X0,X1] :
( ~ equidistant(X0,u,X1,w1)
| equidistant(extension(X0,u,u,X2),u,X2,w1)
| u = X0
| ~ between(X1,u,X2)
| ~ equidistant(X0,u,X1,u) )
| ~ spl0_211 ),
inference(avatar_component_clause,[],[f2427]) ).
fof(f16143,plain,
( spl0_763
| ~ spl0_53
| ~ spl0_209 ),
inference(avatar_split_clause,[],[f2484,f2417,f408,f16141]) ).
fof(f16141,plain,
( spl0_763
<=> ! [X2,X0,X1] :
( equidistant(X0,u,X0,w1)
| ~ between(X1,u,X0)
| u = X1
| ~ between(extension(X2,w1,X1,u),u,X0)
| ~ equidistant(X1,u,extension(X2,w1,X1,u),u) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_763])]) ).
fof(f2417,plain,
( spl0_209
<=> ! [X2,X0,X1] :
( equidistant(X1,u,X1,w1)
| ~ equidistant(X0,u,X2,w1)
| ~ between(X0,u,X1)
| u = X0
| ~ between(X2,u,X1)
| ~ equidistant(X0,u,X2,u) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_209])]) ).
fof(f2484,plain,
( ! [X2,X0,X1] :
( equidistant(X0,u,X0,w1)
| ~ between(X1,u,X0)
| u = X1
| ~ between(extension(X2,w1,X1,u),u,X0)
| ~ equidistant(X1,u,extension(X2,w1,X1,u),u) )
| ~ spl0_53
| ~ spl0_209 ),
inference(resolution,[],[f2418,f409]) ).
fof(f2418,plain,
( ! [X2,X0,X1] :
( ~ equidistant(X0,u,X2,w1)
| equidistant(X1,u,X1,w1)
| ~ between(X0,u,X1)
| u = X0
| ~ between(X2,u,X1)
| ~ equidistant(X0,u,X2,u) )
| ~ spl0_209 ),
inference(avatar_component_clause,[],[f2417]) ).
fof(f16139,plain,
( spl0_762
| ~ spl0_53
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f2446,f2387,f408,f16137]) ).
fof(f16137,plain,
( spl0_762
<=> ! [X2,X0,X1] :
( ~ equidistant(X0,u,extension(X1,v,X0,v),w1)
| ~ between(X0,v,X2)
| v = X0
| ~ between(extension(X1,v,X0,v),v,X2)
| equidistant(X2,u,X2,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_762])]) ).
fof(f2387,plain,
( spl0_208
<=> ! [X2,X0,X1] :
( equidistant(X1,u,X1,w1)
| ~ equidistant(X0,u,X2,w1)
| ~ between(X0,v,X1)
| v = X0
| ~ between(X2,v,X1)
| ~ equidistant(X0,v,X2,v) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_208])]) ).
fof(f2446,plain,
( ! [X2,X0,X1] :
( ~ equidistant(X0,u,extension(X1,v,X0,v),w1)
| ~ between(X0,v,X2)
| v = X0
| ~ between(extension(X1,v,X0,v),v,X2)
| equidistant(X2,u,X2,w1) )
| ~ spl0_53
| ~ spl0_208 ),
inference(resolution,[],[f2388,f409]) ).
fof(f2388,plain,
( ! [X2,X0,X1] :
( ~ equidistant(X0,v,X2,v)
| ~ equidistant(X0,u,X2,w1)
| ~ between(X0,v,X1)
| v = X0
| ~ between(X2,v,X1)
| equidistant(X1,u,X1,w1) )
| ~ spl0_208 ),
inference(avatar_component_clause,[],[f2387]) ).
fof(f16135,plain,
( spl0_761
| ~ spl0_53
| ~ spl0_534 ),
inference(avatar_split_clause,[],[f10160,f10097,f408,f16133]) ).
fof(f16133,plain,
( spl0_761
<=> ! [X0,X1] : equidistant(extension(X0,X1,w,u),X1,w1,u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_761])]) ).
fof(f10097,plain,
( spl0_534
<=> ! [X0,X1] :
( ~ equidistant(w,u,X0,X1)
| equidistant(X0,X1,w1,u) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_534])]) ).
fof(f10160,plain,
( ! [X0,X1] : equidistant(extension(X0,X1,w,u),X1,w1,u)
| ~ spl0_53
| ~ spl0_534 ),
inference(resolution,[],[f10098,f409]) ).
fof(f10098,plain,
( ! [X0,X1] :
( ~ equidistant(w,u,X0,X1)
| equidistant(X0,X1,w1,u) )
| ~ spl0_534 ),
inference(avatar_component_clause,[],[f10097]) ).
fof(f16131,plain,
( spl0_760
| ~ spl0_134
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f2296,f2290,f1368,f16129]) ).
fof(f16129,plain,
( spl0_760
<=> ! [X0,X3,X2,X1] :
( ~ between(extension(X0,u,X1,X2),u,v)
| ~ equidistant(X3,u,extension(X0,u,X1,X2),v)
| ~ between(X3,v,w1)
| v = X3
| ~ equidistant(X1,X2,X3,v) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_760])]) ).
fof(f2290,plain,
( spl0_193
<=> ! [X0,X1] :
( ~ equidistant(X0,u,X1,v)
| ~ between(X1,u,v)
| ~ equidistant(X0,v,X1,u)
| ~ between(X0,v,w1)
| v = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_193])]) ).
fof(f2296,plain,
( ! [X2,X3,X0,X1] :
( ~ between(extension(X0,u,X1,X2),u,v)
| ~ equidistant(X3,u,extension(X0,u,X1,X2),v)
| ~ between(X3,v,w1)
| v = X3
| ~ equidistant(X1,X2,X3,v) )
| ~ spl0_134
| ~ spl0_193 ),
inference(resolution,[],[f2291,f1369]) ).
fof(f2291,plain,
( ! [X0,X1] :
( ~ equidistant(X0,v,X1,u)
| ~ between(X1,u,v)
| ~ equidistant(X0,u,X1,v)
| ~ between(X0,v,w1)
| v = X0 )
| ~ spl0_193 ),
inference(avatar_component_clause,[],[f2290]) ).
fof(f16127,plain,
( spl0_759
| ~ spl0_134
| ~ spl0_179 ),
inference(avatar_split_clause,[],[f2142,f2136,f1368,f16125]) ).
fof(f16125,plain,
( spl0_759
<=> ! [X0,X3,X2,X1] :
( u = X0
| ~ equidistant(X0,u,extension(X1,u,X2,X3),v)
| ~ between(X0,u,v)
| ~ between(extension(X1,u,X2,X3),v,w1)
| ~ equidistant(X2,X3,X0,v) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_759])]) ).
fof(f2136,plain,
( spl0_179
<=> ! [X0,X1] :
( u = X0
| ~ equidistant(X0,v,X1,u)
| ~ equidistant(X0,u,X1,v)
| ~ between(X0,u,v)
| ~ between(X1,v,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).
fof(f2142,plain,
( ! [X2,X3,X0,X1] :
( u = X0
| ~ equidistant(X0,u,extension(X1,u,X2,X3),v)
| ~ between(X0,u,v)
| ~ between(extension(X1,u,X2,X3),v,w1)
| ~ equidistant(X2,X3,X0,v) )
| ~ spl0_134
| ~ spl0_179 ),
inference(resolution,[],[f2137,f1369]) ).
fof(f2137,plain,
( ! [X0,X1] :
( ~ equidistant(X0,v,X1,u)
| u = X0
| ~ equidistant(X0,u,X1,v)
| ~ between(X0,u,v)
| ~ between(X1,v,w1) )
| ~ spl0_179 ),
inference(avatar_component_clause,[],[f2136]) ).
fof(f16123,plain,
( spl0_758
| ~ spl0_12
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f1830,f1518,f77,f16121]) ).
fof(f16121,plain,
( spl0_758
<=> ! [X0,X3,X2,X1] :
( v = inner_pasch(v,inner_pasch(extension(X0,v,X1,X2),X3,w,v,u),extension(X0,v,X1,X2),v,X0)
| ~ between(extension(X0,v,X1,X2),X3,w) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_758])]) ).
fof(f1518,plain,
( spl0_150
<=> ! [X2,X0,X1] :
( v = inner_pasch(v,inner_pasch(X0,X1,w,v,u),X0,v,X2)
| ~ between(X2,v,X0)
| ~ between(X0,X1,w) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
fof(f1830,plain,
( ! [X2,X3,X0,X1] :
( v = inner_pasch(v,inner_pasch(extension(X0,v,X1,X2),X3,w,v,u),extension(X0,v,X1,X2),v,X0)
| ~ between(extension(X0,v,X1,X2),X3,w) )
| ~ spl0_12
| ~ spl0_150 ),
inference(resolution,[],[f1519,f78]) ).
fof(f1519,plain,
( ! [X2,X0,X1] :
( ~ between(X2,v,X0)
| v = inner_pasch(v,inner_pasch(X0,X1,w,v,u),X0,v,X2)
| ~ between(X0,X1,w) )
| ~ spl0_150 ),
inference(avatar_component_clause,[],[f1518]) ).
fof(f16119,plain,
( spl0_757
| ~ spl0_12
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f1812,f1509,f77,f16117]) ).
fof(f16117,plain,
( spl0_757
<=> ! [X0,X3,X2,X1] :
( ~ between(extension(X0,v,X1,X2),X3,w)
| v = inner_pasch(v,inner_pasch(u,v,w,X3,extension(X0,v,X1,X2)),extension(X0,v,X1,X2),v,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_757])]) ).
fof(f1509,plain,
( spl0_148
<=> ! [X2,X0,X1] :
( v = inner_pasch(v,inner_pasch(u,v,w,X0,X1),X1,v,X2)
| ~ between(X1,X0,w)
| ~ between(X2,v,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).
fof(f1812,plain,
( ! [X2,X3,X0,X1] :
( ~ between(extension(X0,v,X1,X2),X3,w)
| v = inner_pasch(v,inner_pasch(u,v,w,X3,extension(X0,v,X1,X2)),extension(X0,v,X1,X2),v,X0) )
| ~ spl0_12
| ~ spl0_148 ),
inference(resolution,[],[f1510,f78]) ).
fof(f1510,plain,
( ! [X2,X0,X1] :
( ~ between(X2,v,X1)
| ~ between(X1,X0,w)
| v = inner_pasch(v,inner_pasch(u,v,w,X0,X1),X1,v,X2) )
| ~ spl0_148 ),
inference(avatar_component_clause,[],[f1509]) ).
fof(f16115,plain,
( spl0_756
| ~ spl0_72
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f1291,f1265,f582,f16113]) ).
fof(f16113,plain,
( spl0_756
<=> ! [X0,X3,X2,X1] :
( equidistant(v,w1,v,continuous(v,X0,X1,w,X2,X3))
| ~ between(v,X0,X2)
| ~ equidistant(v,X2,v,X3)
| ~ equidistant(v,X0,v,X1)
| ~ between(X0,w,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_756])]) ).
fof(f582,plain,
( spl0_72
<=> ! [X0,X3,X2,X1] :
( equidistant(v,continuous(v,X0,X1,w,X2,X3),v,w1)
| ~ between(v,X0,X2)
| ~ equidistant(v,X2,v,X3)
| ~ equidistant(v,X0,v,X1)
| ~ between(X0,w,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f1291,plain,
( ! [X2,X3,X0,X1] :
( equidistant(v,w1,v,continuous(v,X0,X1,w,X2,X3))
| ~ between(v,X0,X2)
| ~ equidistant(v,X2,v,X3)
| ~ equidistant(v,X0,v,X1)
| ~ between(X0,w,X2) )
| ~ spl0_72
| ~ spl0_129 ),
inference(resolution,[],[f1266,f583]) ).
fof(f583,plain,
( ! [X2,X3,X0,X1] :
( equidistant(v,continuous(v,X0,X1,w,X2,X3),v,w1)
| ~ between(v,X0,X2)
| ~ equidistant(v,X2,v,X3)
| ~ equidistant(v,X0,v,X1)
| ~ between(X0,w,X2) )
| ~ spl0_72 ),
inference(avatar_component_clause,[],[f582]) ).
fof(f16111,plain,
( spl0_755
| ~ spl0_71
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f1290,f1265,f578,f16109]) ).
fof(f16109,plain,
( spl0_755
<=> ! [X0,X3,X2,X1] :
( equidistant(u,w1,u,continuous(u,X0,X1,w,X2,X3))
| ~ between(u,X0,X2)
| ~ equidistant(u,X2,u,X3)
| ~ equidistant(u,X0,u,X1)
| ~ between(X0,w,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_755])]) ).
fof(f578,plain,
( spl0_71
<=> ! [X0,X3,X2,X1] :
( equidistant(u,continuous(u,X0,X1,w,X2,X3),u,w1)
| ~ between(u,X0,X2)
| ~ equidistant(u,X2,u,X3)
| ~ equidistant(u,X0,u,X1)
| ~ between(X0,w,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f1290,plain,
( ! [X2,X3,X0,X1] :
( equidistant(u,w1,u,continuous(u,X0,X1,w,X2,X3))
| ~ between(u,X0,X2)
| ~ equidistant(u,X2,u,X3)
| ~ equidistant(u,X0,u,X1)
| ~ between(X0,w,X2) )
| ~ spl0_71
| ~ spl0_129 ),
inference(resolution,[],[f1266,f579]) ).
fof(f579,plain,
( ! [X2,X3,X0,X1] :
( equidistant(u,continuous(u,X0,X1,w,X2,X3),u,w1)
| ~ between(u,X0,X2)
| ~ equidistant(u,X2,u,X3)
| ~ equidistant(u,X0,u,X1)
| ~ between(X0,w,X2) )
| ~ spl0_71 ),
inference(avatar_component_clause,[],[f578]) ).
fof(f16107,plain,
( spl0_754
| ~ spl0_22
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f1258,f1229,f129,f16105]) ).
fof(f16105,plain,
( spl0_754
<=> ! [X0,X3,X2,X1] :
( equidistant(v,continuous(v,X0,X1,w1,X2,X3),w,v)
| ~ between(v,X0,X2)
| ~ equidistant(v,X2,v,X3)
| ~ equidistant(v,X0,v,X1)
| ~ between(X0,w1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_754])]) ).
fof(f129,plain,
( spl0_22
<=> ! [X6,X10,X9,X0,X5,X3] :
( ~ between(X3,X5,X0)
| ~ between(X10,X3,X0)
| ~ equidistant(X10,X0,X10,X6)
| ~ equidistant(X10,X3,X10,X9)
| equidistant(X10,X5,X10,continuous(X10,X3,X9,X5,X0,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f1258,plain,
( ! [X2,X3,X0,X1] :
( equidistant(v,continuous(v,X0,X1,w1,X2,X3),w,v)
| ~ between(v,X0,X2)
| ~ equidistant(v,X2,v,X3)
| ~ equidistant(v,X0,v,X1)
| ~ between(X0,w1,X2) )
| ~ spl0_22
| ~ spl0_128 ),
inference(resolution,[],[f1230,f130]) ).
fof(f130,plain,
( ! [X3,X10,X0,X6,X9,X5] :
( equidistant(X10,X5,X10,continuous(X10,X3,X9,X5,X0,X6))
| ~ between(X10,X3,X0)
| ~ equidistant(X10,X0,X10,X6)
| ~ equidistant(X10,X3,X10,X9)
| ~ between(X3,X5,X0) )
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f16103,plain,
( spl0_753
| ~ spl0_22
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f1250,f1225,f129,f16101]) ).
fof(f16101,plain,
( spl0_753
<=> ! [X0,X3,X2,X1] :
( equidistant(u,continuous(u,X0,X1,w1,X2,X3),w,u)
| ~ between(u,X0,X2)
| ~ equidistant(u,X2,u,X3)
| ~ equidistant(u,X0,u,X1)
| ~ between(X0,w1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_753])]) ).
fof(f1250,plain,
( ! [X2,X3,X0,X1] :
( equidistant(u,continuous(u,X0,X1,w1,X2,X3),w,u)
| ~ between(u,X0,X2)
| ~ equidistant(u,X2,u,X3)
| ~ equidistant(u,X0,u,X1)
| ~ between(X0,w1,X2) )
| ~ spl0_22
| ~ spl0_127 ),
inference(resolution,[],[f1226,f130]) ).
fof(f16099,plain,
( spl0_752
| ~ spl0_22
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f1242,f1221,f129,f16097]) ).
fof(f16097,plain,
( spl0_752
<=> ! [X0,X3,X2,X1] :
( equidistant(w,continuous(w,X0,X1,v,X2,X3),v,w1)
| ~ between(w,X0,X2)
| ~ equidistant(w,X2,w,X3)
| ~ equidistant(w,X0,w,X1)
| ~ between(X0,v,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_752])]) ).
fof(f1221,plain,
( spl0_126
<=> ! [X0,X1] :
( ~ equidistant(w,v,X0,X1)
| equidistant(X0,X1,v,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f1242,plain,
( ! [X2,X3,X0,X1] :
( equidistant(w,continuous(w,X0,X1,v,X2,X3),v,w1)
| ~ between(w,X0,X2)
| ~ equidistant(w,X2,w,X3)
| ~ equidistant(w,X0,w,X1)
| ~ between(X0,v,X2) )
| ~ spl0_22
| ~ spl0_126 ),
inference(resolution,[],[f1222,f130]) ).
fof(f1222,plain,
( ! [X0,X1] :
( ~ equidistant(w,v,X0,X1)
| equidistant(X0,X1,v,w1) )
| ~ spl0_126 ),
inference(avatar_component_clause,[],[f1221]) ).
fof(f16095,plain,
( spl0_751
| ~ spl0_22
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f1234,f1217,f129,f16093]) ).
fof(f16093,plain,
( spl0_751
<=> ! [X0,X3,X2,X1] :
( equidistant(w,continuous(w,X0,X1,u,X2,X3),u,w1)
| ~ between(w,X0,X2)
| ~ equidistant(w,X2,w,X3)
| ~ equidistant(w,X0,w,X1)
| ~ between(X0,u,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_751])]) ).
fof(f1217,plain,
( spl0_125
<=> ! [X0,X1] :
( ~ equidistant(w,u,X0,X1)
| equidistant(X0,X1,u,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f1234,plain,
( ! [X2,X3,X0,X1] :
( equidistant(w,continuous(w,X0,X1,u,X2,X3),u,w1)
| ~ between(w,X0,X2)
| ~ equidistant(w,X2,w,X3)
| ~ equidistant(w,X0,w,X1)
| ~ between(X0,u,X2) )
| ~ spl0_22
| ~ spl0_125 ),
inference(resolution,[],[f1218,f130]) ).
fof(f1218,plain,
( ! [X0,X1] :
( ~ equidistant(w,u,X0,X1)
| equidistant(X0,X1,u,w1) )
| ~ spl0_125 ),
inference(avatar_component_clause,[],[f1217]) ).
fof(f16091,plain,
( spl0_750
| ~ spl0_124
| ~ spl0_534 ),
inference(avatar_split_clause,[],[f10158,f10097,f1174,f16089]) ).
fof(f16089,plain,
( spl0_750
<=> ! [X0,X1] : equidistant(X0,extension(X1,X0,w,u),w1,u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_750])]) ).
fof(f10158,plain,
( ! [X0,X1] : equidistant(X0,extension(X1,X0,w,u),w1,u)
| ~ spl0_124
| ~ spl0_534 ),
inference(resolution,[],[f10098,f1175]) ).
fof(f16087,plain,
( spl0_749
| ~ spl0_70
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f1163,f1152,f560,f16085]) ).
fof(f16085,plain,
( spl0_749
<=> ! [X0,X3,X2,X1] :
( ~ between(extension(X0,X1,v,w),X1,X2)
| extension(X0,X1,v,w) = X1
| ~ between(v,w1,X3)
| ~ equidistant(X1,X2,w1,X3)
| equidistant(X2,X1,X3,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_749])]) ).
fof(f1152,plain,
( spl0_122
<=> ! [X0,X1] : equidistant(extension(X0,X1,v,w),X1,v,w1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f1163,plain,
( ! [X2,X3,X0,X1] :
( ~ between(extension(X0,X1,v,w),X1,X2)
| extension(X0,X1,v,w) = X1
| ~ between(v,w1,X3)
| ~ equidistant(X1,X2,w1,X3)
| equidistant(X2,X1,X3,w1) )
| ~ spl0_70
| ~ spl0_122 ),
inference(resolution,[],[f1153,f561]) ).
fof(f1153,plain,
( ! [X0,X1] : equidistant(extension(X0,X1,v,w),X1,v,w1)
| ~ spl0_122 ),
inference(avatar_component_clause,[],[f1152]) ).
fof(f16083,plain,
( spl0_748
| ~ spl0_70
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f1156,f1148,f560,f16081]) ).
fof(f16081,plain,
( spl0_748
<=> ! [X0,X3,X2,X1] :
( ~ between(extension(X0,X1,u,w),X1,X2)
| extension(X0,X1,u,w) = X1
| ~ between(u,w1,X3)
| ~ equidistant(X1,X2,w1,X3)
| equidistant(X2,X1,X3,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_748])]) ).
fof(f1148,plain,
( spl0_121
<=> ! [X0,X1] : equidistant(extension(X0,X1,u,w),X1,u,w1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f1156,plain,
( ! [X2,X3,X0,X1] :
( ~ between(extension(X0,X1,u,w),X1,X2)
| extension(X0,X1,u,w) = X1
| ~ between(u,w1,X3)
| ~ equidistant(X1,X2,w1,X3)
| equidistant(X2,X1,X3,w1) )
| ~ spl0_70
| ~ spl0_121 ),
inference(resolution,[],[f1149,f561]) ).
fof(f1149,plain,
( ! [X0,X1] : equidistant(extension(X0,X1,u,w),X1,u,w1)
| ~ spl0_121 ),
inference(avatar_component_clause,[],[f1148]) ).
fof(f16022,plain,
( spl0_747
| ~ spl0_73
| ~ spl0_276 ),
inference(avatar_split_clause,[],[f4266,f4233,f606,f16020]) ).
fof(f16020,plain,
( spl0_747
<=> ! [X3,X4,X0,X7,X6,X5,X2,X1] :
( ~ between(X0,X1,X2)
| ~ equidistant(X3,X1,X4,X5)
| ~ between(X3,X0,X2)
| ~ equidistant(X3,X2,X3,X6)
| ~ equidistant(X3,X0,X3,X7)
| equidistant(X1,X3,X5,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_747])]) ).
fof(f4233,plain,
( spl0_276
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X5,X6)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X7)
| ~ equidistant(X0,continuous(X0,X1,X2,X3,X4,X7),X8,X9)
| equidistant(X8,X9,X6,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_276])]) ).
fof(f4266,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ between(X0,X1,X2)
| ~ equidistant(X3,X1,X4,X5)
| ~ between(X3,X0,X2)
| ~ equidistant(X3,X2,X3,X6)
| ~ equidistant(X3,X0,X3,X7)
| equidistant(X1,X3,X5,X4) )
| ~ spl0_73
| ~ spl0_276 ),
inference(duplicate_literal_removal,[],[f4240]) ).
fof(f4240,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ between(X0,X1,X2)
| ~ equidistant(X3,X1,X4,X5)
| ~ between(X3,X0,X2)
| ~ equidistant(X3,X2,X3,X6)
| ~ equidistant(X3,X0,X3,X7)
| equidistant(X1,X3,X5,X4)
| ~ between(X3,X0,X2)
| ~ equidistant(X3,X2,X3,X6)
| ~ equidistant(X3,X0,X3,X7)
| ~ between(X0,X1,X2) )
| ~ spl0_73
| ~ spl0_276 ),
inference(resolution,[],[f4234,f607]) ).
fof(f4234,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,continuous(X0,X1,X2,X3,X4,X7),X8,X9)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X5,X6)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X7)
| ~ equidistant(X0,X1,X0,X2)
| equidistant(X8,X9,X6,X5) )
| ~ spl0_276 ),
inference(avatar_component_clause,[],[f4233]) ).
fof(f16018,plain,
( spl0_746
| ~ spl0_16
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f1435,f1429,f99,f16016]) ).
fof(f16016,plain,
( spl0_746
<=> ! [X0,X3,X2,X1] :
( between(extension(X0,X1,X2,X3),X1,X0)
| ~ between(X1,extension(X0,X1,X2,X3),extension(X0,X1,X2,X3))
| ~ between(X0,X1,extension(X0,X1,X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_746])]) ).
fof(f99,plain,
( spl0_16
<=> ! [X10,X0,X5,X3,X1] :
( ~ between(X10,X3,X5)
| ~ between(X1,X0,X5)
| between(X0,inner_pasch(X10,X3,X5,X0,X1),X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f1429,plain,
( spl0_136
<=> ! [X0,X3,X2,X1] : inner_pasch(X0,X1,extension(X0,X1,X2,X3),extension(X0,X1,X2,X3),X1) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
fof(f1435,plain,
( ! [X2,X3,X0,X1] :
( between(extension(X0,X1,X2,X3),X1,X0)
| ~ between(X1,extension(X0,X1,X2,X3),extension(X0,X1,X2,X3))
| ~ between(X0,X1,extension(X0,X1,X2,X3)) )
| ~ spl0_16
| ~ spl0_136 ),
inference(superposition,[],[f100,f1430]) ).
fof(f1430,plain,
( ! [X2,X3,X0,X1] : inner_pasch(X0,X1,extension(X0,X1,X2,X3),extension(X0,X1,X2,X3),X1) = X1
| ~ spl0_136 ),
inference(avatar_component_clause,[],[f1429]) ).
fof(f100,plain,
( ! [X3,X10,X0,X1,X5] :
( between(X0,inner_pasch(X10,X3,X5,X0,X1),X10)
| ~ between(X1,X0,X5)
| ~ between(X10,X3,X5) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f15896,plain,
( spl0_745
| ~ spl0_497
| ~ spl0_533 ),
inference(avatar_split_clause,[],[f10146,f10093,f9046,f15894]) ).
fof(f15894,plain,
( spl0_745
<=> ! [X0,X1] : equidistant(extension(X0,X1,w1,v),X1,v,w) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_745])]) ).
fof(f9046,plain,
( spl0_497
<=> ! [X0,X3,X2,X1] : equidistant(X0,X1,extension(X2,X3,X1,X0),X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_497])]) ).
fof(f10093,plain,
( spl0_533
<=> ! [X0,X1] :
( ~ equidistant(v,w1,X0,X1)
| equidistant(X0,X1,v,w) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_533])]) ).
fof(f10146,plain,
( ! [X0,X1] : equidistant(extension(X0,X1,w1,v),X1,v,w)
| ~ spl0_497
| ~ spl0_533 ),
inference(resolution,[],[f10094,f9047]) ).
fof(f9047,plain,
( ! [X2,X3,X0,X1] : equidistant(X0,X1,extension(X2,X3,X1,X0),X3)
| ~ spl0_497 ),
inference(avatar_component_clause,[],[f9046]) ).
fof(f10094,plain,
( ! [X0,X1] :
( ~ equidistant(v,w1,X0,X1)
| equidistant(X0,X1,v,w) )
| ~ spl0_533 ),
inference(avatar_component_clause,[],[f10093]) ).
fof(f15852,plain,
( spl0_744
| ~ spl0_53
| ~ spl0_533 ),
inference(avatar_split_clause,[],[f10144,f10093,f408,f15850]) ).
fof(f15850,plain,
( spl0_744
<=> ! [X0,X1] : equidistant(extension(X0,X1,v,w1),X1,v,w) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_744])]) ).
fof(f10144,plain,
( ! [X0,X1] : equidistant(extension(X0,X1,v,w1),X1,v,w)
| ~ spl0_53
| ~ spl0_533 ),
inference(resolution,[],[f10094,f409]) ).
fof(f15826,plain,
( spl0_743
| spl0_740
| ~ spl0_71
| ~ spl0_276 ),
inference(avatar_split_clause,[],[f4262,f4233,f578,f15790,f15824]) ).
fof(f15824,plain,
( spl0_743
<=> ! [X2,X3] :
( ~ equidistant(u,w,X2,X3)
| equidistant(u,w1,X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_743])]) ).
fof(f15790,plain,
( spl0_740
<=> ! [X0,X3,X2,X1] :
( ~ between(X0,w,X1)
| ~ equidistant(u,X0,u,X3)
| ~ equidistant(u,X1,u,X2)
| ~ between(u,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_740])]) ).
fof(f4262,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(X0,w,X1)
| ~ equidistant(u,w,X2,X3)
| ~ between(u,X0,X1)
| ~ equidistant(u,X1,u,X4)
| ~ equidistant(u,X0,u,X5)
| equidistant(u,w1,X3,X2) )
| ~ spl0_71
| ~ spl0_276 ),
inference(duplicate_literal_removal,[],[f4244]) ).
fof(f4244,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(X0,w,X1)
| ~ equidistant(u,w,X2,X3)
| ~ between(u,X0,X1)
| ~ equidistant(u,X1,u,X4)
| ~ equidistant(u,X0,u,X5)
| equidistant(u,w1,X3,X2)
| ~ between(u,X0,X1)
| ~ equidistant(u,X1,u,X4)
| ~ equidistant(u,X0,u,X5)
| ~ between(X0,w,X1) )
| ~ spl0_71
| ~ spl0_276 ),
inference(resolution,[],[f4234,f579]) ).
fof(f15800,plain,
( spl0_742
| spl0_736
| ~ spl0_72
| ~ spl0_276 ),
inference(avatar_split_clause,[],[f4261,f4233,f582,f15774,f15798]) ).
fof(f15798,plain,
( spl0_742
<=> ! [X2,X3] :
( ~ equidistant(v,w,X2,X3)
| equidistant(v,w1,X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_742])]) ).
fof(f15774,plain,
( spl0_736
<=> ! [X0,X3,X2,X1] :
( ~ between(X0,w,X1)
| ~ equidistant(v,X0,v,X3)
| ~ equidistant(v,X1,v,X2)
| ~ between(v,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_736])]) ).
fof(f4261,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(X0,w,X1)
| ~ equidistant(v,w,X2,X3)
| ~ between(v,X0,X1)
| ~ equidistant(v,X1,v,X4)
| ~ equidistant(v,X0,v,X5)
| equidistant(v,w1,X3,X2) )
| ~ spl0_72
| ~ spl0_276 ),
inference(duplicate_literal_removal,[],[f4245]) ).
fof(f4245,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(X0,w,X1)
| ~ equidistant(v,w,X2,X3)
| ~ between(v,X0,X1)
| ~ equidistant(v,X1,v,X4)
| ~ equidistant(v,X0,v,X5)
| equidistant(v,w1,X3,X2)
| ~ between(v,X0,X1)
| ~ equidistant(v,X1,v,X4)
| ~ equidistant(v,X0,v,X5)
| ~ between(X0,w,X1) )
| ~ spl0_72
| ~ spl0_276 ),
inference(resolution,[],[f4234,f583]) ).
fof(f15796,plain,
( spl0_741
| ~ spl0_73
| ~ spl0_273 ),
inference(avatar_split_clause,[],[f4191,f4109,f606,f15794]) ).
fof(f15794,plain,
( spl0_741
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ between(X0,X1,X2)
| ~ equidistant(X3,X1,v,w)
| ~ between(X3,X0,X2)
| ~ equidistant(X3,X2,X3,X4)
| ~ equidistant(X3,X0,X3,X5)
| equidistant(X1,X3,v,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_741])]) ).
fof(f4109,plain,
( spl0_273
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,v,w)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X5)
| ~ equidistant(X0,continuous(X0,X1,X2,X3,X4,X5),X6,X7)
| equidistant(X6,X7,v,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_273])]) ).
fof(f4191,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(X0,X1,X2)
| ~ equidistant(X3,X1,v,w)
| ~ between(X3,X0,X2)
| ~ equidistant(X3,X2,X3,X4)
| ~ equidistant(X3,X0,X3,X5)
| equidistant(X1,X3,v,w1) )
| ~ spl0_73
| ~ spl0_273 ),
inference(duplicate_literal_removal,[],[f4165]) ).
fof(f4165,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(X0,X1,X2)
| ~ equidistant(X3,X1,v,w)
| ~ between(X3,X0,X2)
| ~ equidistant(X3,X2,X3,X4)
| ~ equidistant(X3,X0,X3,X5)
| equidistant(X1,X3,v,w1)
| ~ between(X3,X0,X2)
| ~ equidistant(X3,X2,X3,X4)
| ~ equidistant(X3,X0,X3,X5)
| ~ between(X0,X1,X2) )
| ~ spl0_73
| ~ spl0_273 ),
inference(resolution,[],[f4110,f607]) ).
fof(f4110,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,continuous(X0,X1,X2,X3,X4,X5),X6,X7)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,v,w)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X5)
| ~ equidistant(X0,X1,X0,X2)
| equidistant(X6,X7,v,w1) )
| ~ spl0_273 ),
inference(avatar_component_clause,[],[f4109]) ).
fof(f15792,plain,
( spl0_738
| ~ spl0_739
| spl0_740
| ~ spl0_71
| ~ spl0_273 ),
inference(avatar_split_clause,[],[f4187,f4109,f578,f15790,f15786,f15782]) ).
fof(f15782,plain,
( spl0_738
<=> equidistant(u,w1,v,w1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_738])]) ).
fof(f15786,plain,
( spl0_739
<=> equidistant(u,w,v,w) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_739])]) ).
fof(f4187,plain,
( ! [X2,X3,X0,X1] :
( ~ between(X0,w,X1)
| ~ equidistant(u,w,v,w)
| ~ between(u,X0,X1)
| ~ equidistant(u,X1,u,X2)
| ~ equidistant(u,X0,u,X3)
| equidistant(u,w1,v,w1) )
| ~ spl0_71
| ~ spl0_273 ),
inference(duplicate_literal_removal,[],[f4169]) ).
fof(f4169,plain,
( ! [X2,X3,X0,X1] :
( ~ between(X0,w,X1)
| ~ equidistant(u,w,v,w)
| ~ between(u,X0,X1)
| ~ equidistant(u,X1,u,X2)
| ~ equidistant(u,X0,u,X3)
| equidistant(u,w1,v,w1)
| ~ between(u,X0,X1)
| ~ equidistant(u,X1,u,X2)
| ~ equidistant(u,X0,u,X3)
| ~ between(X0,w,X1) )
| ~ spl0_71
| ~ spl0_273 ),
inference(resolution,[],[f4110,f579]) ).
fof(f15780,plain,
( spl0_737
| ~ spl0_73
| ~ spl0_272 ),
inference(avatar_split_clause,[],[f4164,f4105,f606,f15778]) ).
fof(f15778,plain,
( spl0_737
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ between(X0,X1,X2)
| ~ equidistant(X3,X1,u,w)
| ~ between(X3,X0,X2)
| ~ equidistant(X3,X2,X3,X4)
| ~ equidistant(X3,X0,X3,X5)
| equidistant(X1,X3,u,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_737])]) ).
fof(f4105,plain,
( spl0_272
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,u,w)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X5)
| ~ equidistant(X0,continuous(X0,X1,X2,X3,X4,X5),X6,X7)
| equidistant(X6,X7,u,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_272])]) ).
fof(f4164,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(X0,X1,X2)
| ~ equidistant(X3,X1,u,w)
| ~ between(X3,X0,X2)
| ~ equidistant(X3,X2,X3,X4)
| ~ equidistant(X3,X0,X3,X5)
| equidistant(X1,X3,u,w1) )
| ~ spl0_73
| ~ spl0_272 ),
inference(duplicate_literal_removal,[],[f4138]) ).
fof(f4138,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(X0,X1,X2)
| ~ equidistant(X3,X1,u,w)
| ~ between(X3,X0,X2)
| ~ equidistant(X3,X2,X3,X4)
| ~ equidistant(X3,X0,X3,X5)
| equidistant(X1,X3,u,w1)
| ~ between(X3,X0,X2)
| ~ equidistant(X3,X2,X3,X4)
| ~ equidistant(X3,X0,X3,X5)
| ~ between(X0,X1,X2) )
| ~ spl0_73
| ~ spl0_272 ),
inference(resolution,[],[f4106,f607]) ).
fof(f4106,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,continuous(X0,X1,X2,X3,X4,X5),X6,X7)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,u,w)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X5)
| ~ equidistant(X0,X1,X0,X2)
| equidistant(X6,X7,u,w1) )
| ~ spl0_272 ),
inference(avatar_component_clause,[],[f4105]) ).
fof(f15776,plain,
( spl0_734
| ~ spl0_735
| spl0_736
| ~ spl0_72
| ~ spl0_272 ),
inference(avatar_split_clause,[],[f4159,f4105,f582,f15774,f15770,f15766]) ).
fof(f15766,plain,
( spl0_734
<=> equidistant(v,w1,u,w1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_734])]) ).
fof(f15770,plain,
( spl0_735
<=> equidistant(v,w,u,w) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_735])]) ).
fof(f4159,plain,
( ! [X2,X3,X0,X1] :
( ~ between(X0,w,X1)
| ~ equidistant(v,w,u,w)
| ~ between(v,X0,X1)
| ~ equidistant(v,X1,v,X2)
| ~ equidistant(v,X0,v,X3)
| equidistant(v,w1,u,w1) )
| ~ spl0_72
| ~ spl0_272 ),
inference(duplicate_literal_removal,[],[f4143]) ).
fof(f4143,plain,
( ! [X2,X3,X0,X1] :
( ~ between(X0,w,X1)
| ~ equidistant(v,w,u,w)
| ~ between(v,X0,X1)
| ~ equidistant(v,X1,v,X2)
| ~ equidistant(v,X0,v,X3)
| equidistant(v,w1,u,w1)
| ~ between(v,X0,X1)
| ~ equidistant(v,X1,v,X2)
| ~ equidistant(v,X0,v,X3)
| ~ between(X0,w,X1) )
| ~ spl0_72
| ~ spl0_272 ),
inference(resolution,[],[f4106,f583]) ).
fof(f15764,plain,
( spl0_733
| ~ spl0_123
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f3302,f2151,f1170,f15762]) ).
fof(f15762,plain,
( spl0_733
<=> ! [X0,X1] :
( ~ equidistant(extension(X0,w,u,X1),u,X1,w)
| ~ between(X1,w,u)
| ~ between(extension(X0,w,u,X1),u,w1)
| u = extension(X0,w,u,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_733])]) ).
fof(f3302,plain,
( ! [X0,X1] :
( ~ equidistant(extension(X0,w,u,X1),u,X1,w)
| ~ between(X1,w,u)
| ~ between(extension(X0,w,u,X1),u,w1)
| u = extension(X0,w,u,X1) )
| ~ spl0_123
| ~ spl0_181 ),
inference(resolution,[],[f2152,f1171]) ).
fof(f15760,plain,
( spl0_732
| ~ spl0_54
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f3301,f2151,f412,f15758]) ).
fof(f15758,plain,
( spl0_732
<=> ! [X0,X1] :
( ~ equidistant(extension(X0,w,X1,u),u,X1,w)
| ~ between(X1,w,u)
| ~ between(extension(X0,w,X1,u),u,w1)
| u = extension(X0,w,X1,u) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_732])]) ).
fof(f412,plain,
( spl0_54
<=> ! [X2,X0,X1,X3] : equidistant(extension(X0,X1,X2,X3),X1,X2,X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f3301,plain,
( ! [X0,X1] :
( ~ equidistant(extension(X0,w,X1,u),u,X1,w)
| ~ between(X1,w,u)
| ~ between(extension(X0,w,X1,u),u,w1)
| u = extension(X0,w,X1,u) )
| ~ spl0_54
| ~ spl0_181 ),
inference(resolution,[],[f2152,f413]) ).
fof(f413,plain,
( ! [X2,X3,X0,X1] : equidistant(extension(X0,X1,X2,X3),X1,X2,X3)
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f412]) ).
fof(f15756,plain,
( spl0_731
| ~ spl0_123
| ~ spl0_175 ),
inference(avatar_split_clause,[],[f3141,f2112,f1170,f15754]) ).
fof(f15754,plain,
( spl0_731
<=> ! [X0,X1] :
( ~ between(extension(X0,w,u,X1),w,u)
| ~ between(X1,u,w1)
| ~ equidistant(extension(X0,w,u,X1),u,X1,w)
| w = extension(X0,w,u,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_731])]) ).
fof(f3141,plain,
( ! [X0,X1] :
( ~ between(extension(X0,w,u,X1),w,u)
| ~ between(X1,u,w1)
| ~ equidistant(extension(X0,w,u,X1),u,X1,w)
| w = extension(X0,w,u,X1) )
| ~ spl0_123
| ~ spl0_175 ),
inference(resolution,[],[f2113,f1171]) ).
fof(f15752,plain,
( spl0_730
| ~ spl0_54
| ~ spl0_175 ),
inference(avatar_split_clause,[],[f3140,f2112,f412,f15750]) ).
fof(f15750,plain,
( spl0_730
<=> ! [X0,X1] :
( ~ between(extension(X0,w,X1,u),w,u)
| ~ between(X1,u,w1)
| ~ equidistant(extension(X0,w,X1,u),u,X1,w)
| w = extension(X0,w,X1,u) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_730])]) ).
fof(f3140,plain,
( ! [X0,X1] :
( ~ between(extension(X0,w,X1,u),w,u)
| ~ between(X1,u,w1)
| ~ equidistant(extension(X0,w,X1,u),u,X1,w)
| w = extension(X0,w,X1,u) )
| ~ spl0_54
| ~ spl0_175 ),
inference(resolution,[],[f2113,f413]) ).
fof(f15748,plain,
( spl0_729
| ~ spl0_123
| ~ spl0_186 ),
inference(avatar_split_clause,[],[f2609,f2179,f1170,f15746]) ).
fof(f15746,plain,
( spl0_729
<=> ! [X0,X1] :
( ~ equidistant(extension(X0,w,v,X1),v,X1,w)
| ~ between(X1,w,v)
| ~ between(extension(X0,w,v,X1),v,w1)
| v = extension(X0,w,v,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_729])]) ).
fof(f2609,plain,
( ! [X0,X1] :
( ~ equidistant(extension(X0,w,v,X1),v,X1,w)
| ~ between(X1,w,v)
| ~ between(extension(X0,w,v,X1),v,w1)
| v = extension(X0,w,v,X1) )
| ~ spl0_123
| ~ spl0_186 ),
inference(resolution,[],[f2180,f1171]) ).
fof(f15744,plain,
( spl0_728
| ~ spl0_54
| ~ spl0_186 ),
inference(avatar_split_clause,[],[f2608,f2179,f412,f15742]) ).
fof(f15742,plain,
( spl0_728
<=> ! [X0,X1] :
( ~ equidistant(extension(X0,w,X1,v),v,X1,w)
| ~ between(X1,w,v)
| ~ between(extension(X0,w,X1,v),v,w1)
| v = extension(X0,w,X1,v) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_728])]) ).
fof(f2608,plain,
( ! [X0,X1] :
( ~ equidistant(extension(X0,w,X1,v),v,X1,w)
| ~ between(X1,w,v)
| ~ between(extension(X0,w,X1,v),v,w1)
| v = extension(X0,w,X1,v) )
| ~ spl0_54
| ~ spl0_186 ),
inference(resolution,[],[f2180,f413]) ).
fof(f15740,plain,
( spl0_727
| ~ spl0_123
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f2601,f2121,f1170,f15738]) ).
fof(f15738,plain,
( spl0_727
<=> ! [X0,X1] :
( ~ between(extension(X0,w,v,X1),w,v)
| ~ between(X1,v,w1)
| ~ equidistant(extension(X0,w,v,X1),v,X1,w)
| w = extension(X0,w,v,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_727])]) ).
fof(f2601,plain,
( ! [X0,X1] :
( ~ between(extension(X0,w,v,X1),w,v)
| ~ between(X1,v,w1)
| ~ equidistant(extension(X0,w,v,X1),v,X1,w)
| w = extension(X0,w,v,X1) )
| ~ spl0_123
| ~ spl0_177 ),
inference(resolution,[],[f2122,f1171]) ).
fof(f15736,plain,
( spl0_726
| ~ spl0_54
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f2600,f2121,f412,f15734]) ).
fof(f15734,plain,
( spl0_726
<=> ! [X0,X1] :
( ~ between(extension(X0,w,X1,v),w,v)
| ~ between(X1,v,w1)
| ~ equidistant(extension(X0,w,X1,v),v,X1,w)
| w = extension(X0,w,X1,v) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_726])]) ).
fof(f2600,plain,
( ! [X0,X1] :
( ~ between(extension(X0,w,X1,v),w,v)
| ~ between(X1,v,w1)
| ~ equidistant(extension(X0,w,X1,v),v,X1,w)
| w = extension(X0,w,X1,v) )
| ~ spl0_54
| ~ spl0_177 ),
inference(resolution,[],[f2122,f413]) ).
fof(f15732,plain,
( spl0_725
| ~ spl0_123
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f2298,f2290,f1170,f15730]) ).
fof(f15730,plain,
( spl0_725
<=> ! [X0,X1] :
( ~ between(X0,u,v)
| ~ equidistant(extension(X1,v,u,X0),u,X0,v)
| ~ between(extension(X1,v,u,X0),v,w1)
| v = extension(X1,v,u,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_725])]) ).
fof(f2298,plain,
( ! [X0,X1] :
( ~ between(X0,u,v)
| ~ equidistant(extension(X1,v,u,X0),u,X0,v)
| ~ between(extension(X1,v,u,X0),v,w1)
| v = extension(X1,v,u,X0) )
| ~ spl0_123
| ~ spl0_193 ),
inference(resolution,[],[f2291,f1171]) ).
fof(f15728,plain,
( spl0_724
| ~ spl0_484
| ~ spl0_533 ),
inference(avatar_split_clause,[],[f10143,f10093,f8853,f15726]) ).
fof(f15726,plain,
( spl0_724
<=> ! [X0,X1] : equidistant(X0,extension(X1,X0,w1,v),v,w) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_724])]) ).
fof(f8853,plain,
( spl0_484
<=> ! [X0,X3,X2,X1] : equidistant(X0,X1,X2,extension(X3,X2,X1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_484])]) ).
fof(f10143,plain,
( ! [X0,X1] : equidistant(X0,extension(X1,X0,w1,v),v,w)
| ~ spl0_484
| ~ spl0_533 ),
inference(resolution,[],[f10094,f8854]) ).
fof(f8854,plain,
( ! [X2,X3,X0,X1] : equidistant(X0,X1,X2,extension(X3,X2,X1,X0))
| ~ spl0_484 ),
inference(avatar_component_clause,[],[f8853]) ).
fof(f15724,plain,
( spl0_723
| ~ spl0_54
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f2297,f2290,f412,f15722]) ).
fof(f15722,plain,
( spl0_723
<=> ! [X0,X1] :
( ~ between(X0,u,v)
| ~ equidistant(extension(X1,v,X0,u),u,X0,v)
| ~ between(extension(X1,v,X0,u),v,w1)
| v = extension(X1,v,X0,u) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_723])]) ).
fof(f2297,plain,
( ! [X0,X1] :
( ~ between(X0,u,v)
| ~ equidistant(extension(X1,v,X0,u),u,X0,v)
| ~ between(extension(X1,v,X0,u),v,w1)
| v = extension(X1,v,X0,u) )
| ~ spl0_54
| ~ spl0_193 ),
inference(resolution,[],[f2291,f413]) ).
fof(f15720,plain,
( spl0_722
| ~ spl0_123
| ~ spl0_179 ),
inference(avatar_split_clause,[],[f2144,f2136,f1170,f15718]) ).
fof(f15718,plain,
( spl0_722
<=> ! [X0,X1] :
( u = extension(X0,v,u,X1)
| ~ equidistant(extension(X0,v,u,X1),u,X1,v)
| ~ between(extension(X0,v,u,X1),u,v)
| ~ between(X1,v,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_722])]) ).
fof(f2144,plain,
( ! [X0,X1] :
( u = extension(X0,v,u,X1)
| ~ equidistant(extension(X0,v,u,X1),u,X1,v)
| ~ between(extension(X0,v,u,X1),u,v)
| ~ between(X1,v,w1) )
| ~ spl0_123
| ~ spl0_179 ),
inference(resolution,[],[f2137,f1171]) ).
fof(f15716,plain,
( spl0_721
| ~ spl0_54
| ~ spl0_179 ),
inference(avatar_split_clause,[],[f2143,f2136,f412,f15714]) ).
fof(f15714,plain,
( spl0_721
<=> ! [X0,X1] :
( u = extension(X0,v,X1,u)
| ~ equidistant(extension(X0,v,X1,u),u,X1,v)
| ~ between(extension(X0,v,X1,u),u,v)
| ~ between(X1,v,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_721])]) ).
fof(f2143,plain,
( ! [X0,X1] :
( u = extension(X0,v,X1,u)
| ~ equidistant(extension(X0,v,X1,u),u,X1,v)
| ~ between(extension(X0,v,X1,u),u,v)
| ~ between(X1,v,w1) )
| ~ spl0_54
| ~ spl0_179 ),
inference(resolution,[],[f2137,f413]) ).
fof(f15480,plain,
( spl0_720
| ~ spl0_19
| ~ spl0_259 ),
inference(avatar_split_clause,[],[f3912,f3905,f113,f15478]) ).
fof(f15478,plain,
( spl0_720
<=> ! [X4,X3,X2,X1] :
( ~ between(X1,X1,X2)
| ~ equidistant(X1,X2,X1,X3)
| ~ between(X4,X1,X3)
| inner_pasch(X1,continuous(X1,X1,X1,X2,X2,X3),X3,X1,X4) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_720])]) ).
fof(f113,plain,
( spl0_19
<=> ! [X2,X0,X1] : extension(X1,X0,X2,X2) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f3905,plain,
( spl0_259
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X0,extension(X3,X0,X0,X4),X1)
| ~ between(X5,X4,X2)
| inner_pasch(X4,continuous(X0,extension(X3,X0,X0,X4),X4,X1,X1,X2),X2,X4,X5) = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_259])]) ).
fof(f3912,plain,
( ! [X2,X3,X1,X4] :
( ~ between(X1,X1,X2)
| ~ equidistant(X1,X2,X1,X3)
| ~ between(X4,X1,X3)
| inner_pasch(X1,continuous(X1,X1,X1,X2,X2,X3),X3,X1,X4) = X1 )
| ~ spl0_19
| ~ spl0_259 ),
inference(superposition,[],[f3906,f114]) ).
fof(f114,plain,
( ! [X2,X0,X1] : extension(X1,X0,X2,X2) = X0
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f3906,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(X0,extension(X3,X0,X0,X4),X1)
| ~ equidistant(X0,X1,X0,X2)
| ~ between(X5,X4,X2)
| inner_pasch(X4,continuous(X0,extension(X3,X0,X0,X4),X4,X1,X1,X2),X2,X4,X5) = X4 )
| ~ spl0_259 ),
inference(avatar_component_clause,[],[f3905]) ).
fof(f15476,plain,
( spl0_719
| ~ spl0_52
| ~ spl0_237 ),
inference(avatar_split_clause,[],[f3310,f3305,f379,f15474]) ).
fof(f15474,plain,
( spl0_719
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ between(X0,X1,X2)
| ~ equidistant(X3,X1,X4,X4)
| ~ between(X3,X0,X2)
| ~ equidistant(X3,X0,X3,X5)
| continuous(X3,X0,X5,X1,X2,X2) = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_719])]) ).
fof(f3305,plain,
( spl0_237
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X5,X5)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X6)
| continuous(X0,X1,X2,X3,X4,X6) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_237])]) ).
fof(f3310,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(X0,X1,X2)
| ~ equidistant(X3,X1,X4,X4)
| ~ between(X3,X0,X2)
| ~ equidistant(X3,X0,X3,X5)
| continuous(X3,X0,X5,X1,X2,X2) = X3 )
| ~ spl0_52
| ~ spl0_237 ),
inference(resolution,[],[f3306,f380]) ).
fof(f3306,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ equidistant(X0,X4,X0,X6)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X5,X5)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X1,X0,X2)
| continuous(X0,X1,X2,X3,X4,X6) = X0 )
| ~ spl0_237 ),
inference(avatar_component_clause,[],[f3305]) ).
fof(f15472,plain,
( spl0_718
| ~ spl0_29
| ~ spl0_236 ),
inference(avatar_split_clause,[],[f3271,f3213,f186,f15470]) ).
fof(f15470,plain,
( spl0_718
<=> ! [X0,X3,X2,X1] :
( inner_pasch(X0,X1,X2,X2,X3) = inner_pasch(X2,inner_pasch(X0,X1,X2,X2,X3),X0,X0,inner_pasch(X0,X1,X2,X2,X3))
| ~ between(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_718])]) ).
fof(f186,plain,
( spl0_29
<=> ! [X0,X1] : between(X0,X1,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f3213,plain,
( spl0_236
<=> ! [X4,X0,X3,X2,X1] :
( inner_pasch(X0,X1,X2,X3,X4) = inner_pasch(X3,inner_pasch(X0,X1,X2,X3,X4),X0,X0,inner_pasch(X0,X1,X2,X3,X4))
| ~ between(X4,X3,X2)
| ~ between(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_236])]) ).
fof(f3271,plain,
( ! [X2,X3,X0,X1] :
( inner_pasch(X0,X1,X2,X2,X3) = inner_pasch(X2,inner_pasch(X0,X1,X2,X2,X3),X0,X0,inner_pasch(X0,X1,X2,X2,X3))
| ~ between(X0,X1,X2) )
| ~ spl0_29
| ~ spl0_236 ),
inference(resolution,[],[f3214,f187]) ).
fof(f187,plain,
( ! [X0,X1] : between(X0,X1,X1)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f3214,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ between(X4,X3,X2)
| inner_pasch(X0,X1,X2,X3,X4) = inner_pasch(X3,inner_pasch(X0,X1,X2,X3,X4),X0,X0,inner_pasch(X0,X1,X2,X3,X4))
| ~ between(X0,X1,X2) )
| ~ spl0_236 ),
inference(avatar_component_clause,[],[f3213]) ).
fof(f15468,plain,
( spl0_717
| ~ spl0_124
| ~ spl0_533 ),
inference(avatar_split_clause,[],[f10142,f10093,f1174,f15466]) ).
fof(f15466,plain,
( spl0_717
<=> ! [X0,X1] : equidistant(X0,extension(X1,X0,v,w1),v,w) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_717])]) ).
fof(f10142,plain,
( ! [X0,X1] : equidistant(X0,extension(X1,X0,v,w1),v,w)
| ~ spl0_124
| ~ spl0_533 ),
inference(resolution,[],[f10094,f1175]) ).
fof(f15464,plain,
( spl0_716
| ~ spl0_29
| ~ spl0_235 ),
inference(avatar_split_clause,[],[f3247,f3209,f186,f15462]) ).
fof(f15462,plain,
( spl0_716
<=> ! [X0,X3,X2,X1] :
( inner_pasch(X0,X1,X2,X2,X3) = inner_pasch(X1,inner_pasch(X0,X1,X2,X2,X3),X3,X3,inner_pasch(X0,X1,X2,X2,X3))
| ~ between(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_716])]) ).
fof(f3209,plain,
( spl0_235
<=> ! [X4,X0,X3,X2,X1] :
( inner_pasch(X0,X1,X2,X3,X4) = inner_pasch(X1,inner_pasch(X0,X1,X2,X3,X4),X4,X4,inner_pasch(X0,X1,X2,X3,X4))
| ~ between(X4,X3,X2)
| ~ between(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_235])]) ).
fof(f3247,plain,
( ! [X2,X3,X0,X1] :
( inner_pasch(X0,X1,X2,X2,X3) = inner_pasch(X1,inner_pasch(X0,X1,X2,X2,X3),X3,X3,inner_pasch(X0,X1,X2,X2,X3))
| ~ between(X0,X1,X2) )
| ~ spl0_29
| ~ spl0_235 ),
inference(resolution,[],[f3210,f187]) ).
fof(f3210,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ between(X4,X3,X2)
| inner_pasch(X0,X1,X2,X3,X4) = inner_pasch(X1,inner_pasch(X0,X1,X2,X3,X4),X4,X4,inner_pasch(X0,X1,X2,X3,X4))
| ~ between(X0,X1,X2) )
| ~ spl0_235 ),
inference(avatar_component_clause,[],[f3209]) ).
fof(f15188,plain,
( spl0_715
| ~ spl0_497
| ~ spl0_532 ),
inference(avatar_split_clause,[],[f10125,f10089,f9046,f15186]) ).
fof(f15186,plain,
( spl0_715
<=> ! [X0,X1] : equidistant(extension(X0,X1,w1,u),X1,u,w) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_715])]) ).
fof(f10089,plain,
( spl0_532
<=> ! [X0,X1] :
( ~ equidistant(u,w1,X0,X1)
| equidistant(X0,X1,u,w) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_532])]) ).
fof(f10125,plain,
( ! [X0,X1] : equidistant(extension(X0,X1,w1,u),X1,u,w)
| ~ spl0_497
| ~ spl0_532 ),
inference(resolution,[],[f10090,f9047]) ).
fof(f10090,plain,
( ! [X0,X1] :
( ~ equidistant(u,w1,X0,X1)
| equidistant(X0,X1,u,w) )
| ~ spl0_532 ),
inference(avatar_component_clause,[],[f10089]) ).
fof(f15148,plain,
( spl0_714
| ~ spl0_19
| ~ spl0_269 ),
inference(avatar_split_clause,[],[f4127,f4089,f113,f15146]) ).
fof(f15146,plain,
( spl0_714
<=> ! [X2,X1] :
( ~ between(v,X1,X2)
| ~ equidistant(v,X2,v,w)
| v = inner_pasch(u,v,w,continuous(v,v,v,X1,X2,w),v)
| ~ between(v,v,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_714])]) ).
fof(f4089,plain,
( spl0_269
<=> ! [X0,X3,X2,X1] :
( v = inner_pasch(u,v,w,continuous(X0,extension(X1,X0,X0,v),v,X2,X3,w),v)
| ~ equidistant(X0,X3,X0,w)
| ~ between(extension(X1,X0,X0,v),X2,X3)
| ~ between(X0,extension(X1,X0,X0,v),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_269])]) ).
fof(f4127,plain,
( ! [X2,X1] :
( ~ between(v,X1,X2)
| ~ equidistant(v,X2,v,w)
| v = inner_pasch(u,v,w,continuous(v,v,v,X1,X2,w),v)
| ~ between(v,v,X2) )
| ~ spl0_19
| ~ spl0_269 ),
inference(superposition,[],[f4090,f114]) ).
fof(f4090,plain,
( ! [X2,X3,X0,X1] :
( ~ between(extension(X1,X0,X0,v),X2,X3)
| ~ equidistant(X0,X3,X0,w)
| v = inner_pasch(u,v,w,continuous(X0,extension(X1,X0,X0,v),v,X2,X3,w),v)
| ~ between(X0,extension(X1,X0,X0,v),X3) )
| ~ spl0_269 ),
inference(avatar_component_clause,[],[f4089]) ).
fof(f15144,plain,
( spl0_713
| ~ spl0_63
| ~ spl0_237 ),
inference(avatar_split_clause,[],[f3327,f3305,f491,f15142]) ).
fof(f15142,plain,
( spl0_713
<=> ! [X0,X3,X2,X1] :
( ~ between(X0,X1,w1)
| ~ equidistant(v,X1,X2,X2)
| ~ between(v,X0,w1)
| ~ equidistant(v,X0,v,X3)
| v = continuous(v,X0,X3,X1,w1,w) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_713])]) ).
fof(f3327,plain,
( ! [X2,X3,X0,X1] :
( ~ between(X0,X1,w1)
| ~ equidistant(v,X1,X2,X2)
| ~ between(v,X0,w1)
| ~ equidistant(v,X0,v,X3)
| v = continuous(v,X0,X3,X1,w1,w) )
| ~ spl0_63
| ~ spl0_237 ),
inference(resolution,[],[f3306,f493]) ).
fof(f15140,plain,
( spl0_712
| ~ spl0_57
| ~ spl0_237 ),
inference(avatar_split_clause,[],[f3326,f3305,f449,f15138]) ).
fof(f15138,plain,
( spl0_712
<=> ! [X0,X3,X2,X1] :
( ~ between(X0,X1,w1)
| ~ equidistant(u,X1,X2,X2)
| ~ between(u,X0,w1)
| ~ equidistant(u,X0,u,X3)
| u = continuous(u,X0,X3,X1,w1,w) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_712])]) ).
fof(f3326,plain,
( ! [X2,X3,X0,X1] :
( ~ between(X0,X1,w1)
| ~ equidistant(u,X1,X2,X2)
| ~ between(u,X0,w1)
| ~ equidistant(u,X0,u,X3)
| u = continuous(u,X0,X3,X1,w1,w) )
| ~ spl0_57
| ~ spl0_237 ),
inference(resolution,[],[f3306,f451]) ).
fof(f15136,plain,
( spl0_711
| ~ spl0_8
| ~ spl0_237 ),
inference(avatar_split_clause,[],[f3325,f3305,f60,f15134]) ).
fof(f15134,plain,
( spl0_711
<=> ! [X0,X3,X2,X1] :
( ~ between(X0,X1,w)
| ~ equidistant(v,X1,X2,X2)
| ~ between(v,X0,w)
| ~ equidistant(v,X0,v,X3)
| v = continuous(v,X0,X3,X1,w,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_711])]) ).
fof(f3325,plain,
( ! [X2,X3,X0,X1] :
( ~ between(X0,X1,w)
| ~ equidistant(v,X1,X2,X2)
| ~ between(v,X0,w)
| ~ equidistant(v,X0,v,X3)
| v = continuous(v,X0,X3,X1,w,w1) )
| ~ spl0_8
| ~ spl0_237 ),
inference(resolution,[],[f3306,f62]) ).
fof(f15132,plain,
( spl0_710
| ~ spl0_7
| ~ spl0_237 ),
inference(avatar_split_clause,[],[f3324,f3305,f55,f15130]) ).
fof(f15130,plain,
( spl0_710
<=> ! [X0,X3,X2,X1] :
( ~ between(X0,X1,w)
| ~ equidistant(u,X1,X2,X2)
| ~ between(u,X0,w)
| ~ equidistant(u,X0,u,X3)
| u = continuous(u,X0,X3,X1,w,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_710])]) ).
fof(f3324,plain,
( ! [X2,X3,X0,X1] :
( ~ between(X0,X1,w)
| ~ equidistant(u,X1,X2,X2)
| ~ between(u,X0,w)
| ~ equidistant(u,X0,u,X3)
| u = continuous(u,X0,X3,X1,w,w1) )
| ~ spl0_7
| ~ spl0_237 ),
inference(resolution,[],[f3306,f57]) ).
fof(f15128,plain,
( spl0_709
| ~ spl0_198
| ~ spl0_236 ),
inference(avatar_split_clause,[],[f3282,f3213,f2330,f15126]) ).
fof(f15126,plain,
( spl0_709
<=> ! [X0,X1] :
( inner_pasch(X0,X1,w,u,u) = inner_pasch(u,inner_pasch(X0,X1,w,u,u),X0,X0,inner_pasch(X0,X1,w,u,u))
| ~ between(X0,X1,w) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_709])]) ).
fof(f2330,plain,
( spl0_198
<=> between(u,u,w) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_198])]) ).
fof(f3282,plain,
( ! [X0,X1] :
( inner_pasch(X0,X1,w,u,u) = inner_pasch(u,inner_pasch(X0,X1,w,u,u),X0,X0,inner_pasch(X0,X1,w,u,u))
| ~ between(X0,X1,w) )
| ~ spl0_198
| ~ spl0_236 ),
inference(resolution,[],[f3214,f2331]) ).
fof(f2331,plain,
( between(u,u,w)
| ~ spl0_198 ),
inference(avatar_component_clause,[],[f2330]) ).
fof(f15124,plain,
( spl0_708
| ~ spl0_3
| ~ spl0_236 ),
inference(avatar_split_clause,[],[f3281,f3213,f35,f15122]) ).
fof(f15122,plain,
( spl0_708
<=> ! [X0,X1] :
( inner_pasch(X0,X1,w,v,u) = inner_pasch(v,inner_pasch(X0,X1,w,v,u),X0,X0,inner_pasch(X0,X1,w,v,u))
| ~ between(X0,X1,w) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_708])]) ).
fof(f3281,plain,
( ! [X0,X1] :
( inner_pasch(X0,X1,w,v,u) = inner_pasch(v,inner_pasch(X0,X1,w,v,u),X0,X0,inner_pasch(X0,X1,w,v,u))
| ~ between(X0,X1,w) )
| ~ spl0_3
| ~ spl0_236 ),
inference(resolution,[],[f3214,f37]) ).
fof(f37,plain,
( between(u,v,w)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f15120,plain,
( spl0_707
| ~ spl0_198
| ~ spl0_235 ),
inference(avatar_split_clause,[],[f3258,f3209,f2330,f15118]) ).
fof(f15118,plain,
( spl0_707
<=> ! [X0,X1] :
( inner_pasch(X0,X1,w,u,u) = inner_pasch(X1,inner_pasch(X0,X1,w,u,u),u,u,inner_pasch(X0,X1,w,u,u))
| ~ between(X0,X1,w) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_707])]) ).
fof(f3258,plain,
( ! [X0,X1] :
( inner_pasch(X0,X1,w,u,u) = inner_pasch(X1,inner_pasch(X0,X1,w,u,u),u,u,inner_pasch(X0,X1,w,u,u))
| ~ between(X0,X1,w) )
| ~ spl0_198
| ~ spl0_235 ),
inference(resolution,[],[f3210,f2331]) ).
fof(f15116,plain,
( spl0_706
| ~ spl0_53
| ~ spl0_532 ),
inference(avatar_split_clause,[],[f10123,f10089,f408,f15114]) ).
fof(f15114,plain,
( spl0_706
<=> ! [X0,X1] : equidistant(extension(X0,X1,u,w1),X1,u,w) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_706])]) ).
fof(f10123,plain,
( ! [X0,X1] : equidistant(extension(X0,X1,u,w1),X1,u,w)
| ~ spl0_53
| ~ spl0_532 ),
inference(resolution,[],[f10090,f409]) ).
fof(f15112,plain,
( spl0_705
| ~ spl0_3
| ~ spl0_235 ),
inference(avatar_split_clause,[],[f3257,f3209,f35,f15110]) ).
fof(f15110,plain,
( spl0_705
<=> ! [X0,X1] :
( inner_pasch(X0,X1,w,v,u) = inner_pasch(X1,inner_pasch(X0,X1,w,v,u),u,u,inner_pasch(X0,X1,w,v,u))
| ~ between(X0,X1,w) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_705])]) ).
fof(f3257,plain,
( ! [X0,X1] :
( inner_pasch(X0,X1,w,v,u) = inner_pasch(X1,inner_pasch(X0,X1,w,v,u),u,u,inner_pasch(X0,X1,w,v,u))
| ~ between(X0,X1,w) )
| ~ spl0_3
| ~ spl0_235 ),
inference(resolution,[],[f3210,f37]) ).
fof(f15108,plain,
( spl0_704
| ~ spl0_33
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f1338,f1311,f216,f15106]) ).
fof(f15106,plain,
( spl0_704
<=> ! [X2,X0,X1] :
( w1 = inner_pasch(X0,w1,w1,continuous(v,w,w1,X1,X2,w1),w1)
| ~ equidistant(v,X2,v,w1)
| ~ between(w,X1,X2)
| ~ between(v,w,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_704])]) ).
fof(f216,plain,
( spl0_33
<=> ! [X2,X0,X1] :
( ~ between(v,w,X0)
| ~ equidistant(v,X0,v,X1)
| ~ between(w,X2,X0)
| between(w1,continuous(v,w,w1,X2,X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f1311,plain,
( spl0_131
<=> ! [X2,X0,X1] :
( ~ between(X0,X1,X0)
| inner_pasch(X2,X0,X0,X1,X0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f1338,plain,
( ! [X2,X0,X1] :
( w1 = inner_pasch(X0,w1,w1,continuous(v,w,w1,X1,X2,w1),w1)
| ~ equidistant(v,X2,v,w1)
| ~ between(w,X1,X2)
| ~ between(v,w,X2) )
| ~ spl0_33
| ~ spl0_131 ),
inference(resolution,[],[f1312,f217]) ).
fof(f217,plain,
( ! [X2,X0,X1] :
( between(w1,continuous(v,w,w1,X2,X0,X1),X1)
| ~ equidistant(v,X0,v,X1)
| ~ between(w,X2,X0)
| ~ between(v,w,X0) )
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f216]) ).
fof(f1312,plain,
( ! [X2,X0,X1] :
( ~ between(X0,X1,X0)
| inner_pasch(X2,X0,X0,X1,X0) = X0 )
| ~ spl0_131 ),
inference(avatar_component_clause,[],[f1311]) ).
fof(f15104,plain,
( spl0_703
| ~ spl0_32
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f1337,f1311,f212,f15102]) ).
fof(f15102,plain,
( spl0_703
<=> ! [X2,X0,X1] :
( w1 = inner_pasch(X0,w1,w1,continuous(u,w,w1,X1,X2,w1),w1)
| ~ equidistant(u,X2,u,w1)
| ~ between(w,X1,X2)
| ~ between(u,w,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_703])]) ).
fof(f212,plain,
( spl0_32
<=> ! [X2,X0,X1] :
( ~ between(u,w,X0)
| ~ equidistant(u,X0,u,X1)
| ~ between(w,X2,X0)
| between(w1,continuous(u,w,w1,X2,X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f1337,plain,
( ! [X2,X0,X1] :
( w1 = inner_pasch(X0,w1,w1,continuous(u,w,w1,X1,X2,w1),w1)
| ~ equidistant(u,X2,u,w1)
| ~ between(w,X1,X2)
| ~ between(u,w,X2) )
| ~ spl0_32
| ~ spl0_131 ),
inference(resolution,[],[f1312,f213]) ).
fof(f213,plain,
( ! [X2,X0,X1] :
( between(w1,continuous(u,w,w1,X2,X0,X1),X1)
| ~ equidistant(u,X0,u,X1)
| ~ between(w,X2,X0)
| ~ between(u,w,X0) )
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f212]) ).
fof(f14834,plain,
( spl0_702
| ~ spl0_52
| ~ spl0_234 ),
inference(avatar_split_clause,[],[f3217,f3205,f379,f14832]) ).
fof(f14832,plain,
( spl0_702
<=> ! [X4,X0,X3,X2,X1] :
( ~ between(X0,X1,X2)
| X0 = X1
| ~ between(X0,X1,X3)
| ~ equidistant(X1,X2,X1,X3)
| ~ equidistant(X0,X1,X0,X1)
| equidistant(X2,X4,X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_702])]) ).
fof(f3205,plain,
( spl0_234
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ between(X0,X1,X2)
| ~ between(X3,X1,X4)
| X1 = X3
| ~ equidistant(X3,X5,X0,X5)
| ~ equidistant(X1,X4,X1,X2)
| ~ equidistant(X3,X1,X0,X1)
| equidistant(X4,X5,X2,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_234])]) ).
fof(f3217,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ between(X0,X1,X2)
| X0 = X1
| ~ between(X0,X1,X3)
| ~ equidistant(X1,X2,X1,X3)
| ~ equidistant(X0,X1,X0,X1)
| equidistant(X2,X4,X3,X4) )
| ~ spl0_52
| ~ spl0_234 ),
inference(resolution,[],[f3206,f380]) ).
fof(f3206,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X3,X5,X0,X5)
| ~ between(X3,X1,X4)
| X1 = X3
| ~ between(X0,X1,X2)
| ~ equidistant(X1,X4,X1,X2)
| ~ equidistant(X3,X1,X0,X1)
| equidistant(X4,X5,X2,X5) )
| ~ spl0_234 ),
inference(avatar_component_clause,[],[f3205]) ).
fof(f14830,plain,
( spl0_701
| ~ spl0_124
| ~ spl0_217 ),
inference(avatar_split_clause,[],[f2770,f2762,f1174,f14828]) ).
fof(f14828,plain,
( spl0_701
<=> ! [X4,X0,X3,X2,X1] :
( ~ between(X0,X1,X2)
| ~ equidistant(X0,X1,X0,X3)
| ~ between(X1,X0,X2)
| continuous(X0,X1,X3,X0,X2,extension(X4,X0,X0,X2)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_701])]) ).
fof(f2762,plain,
( spl0_217
<=> ! [X4,X0,X3,X2,X1] :
( ~ between(X0,X1,X2)
| ~ equidistant(X0,X2,X0,X3)
| ~ equidistant(X0,X1,X0,X4)
| ~ between(X1,X0,X2)
| continuous(X0,X1,X4,X0,X2,X3) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_217])]) ).
fof(f2770,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ between(X0,X1,X2)
| ~ equidistant(X0,X1,X0,X3)
| ~ between(X1,X0,X2)
| continuous(X0,X1,X3,X0,X2,extension(X4,X0,X0,X2)) = X0 )
| ~ spl0_124
| ~ spl0_217 ),
inference(resolution,[],[f2763,f1175]) ).
fof(f2763,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ equidistant(X0,X2,X0,X3)
| ~ between(X0,X1,X2)
| ~ equidistant(X0,X1,X0,X4)
| ~ between(X1,X0,X2)
| continuous(X0,X1,X4,X0,X2,X3) = X0 )
| ~ spl0_217 ),
inference(avatar_component_clause,[],[f2762]) ).
fof(f14826,plain,
( spl0_700
| ~ spl0_484
| ~ spl0_532 ),
inference(avatar_split_clause,[],[f10122,f10089,f8853,f14824]) ).
fof(f14824,plain,
( spl0_700
<=> ! [X0,X1] : equidistant(X0,extension(X1,X0,w1,u),u,w) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_700])]) ).
fof(f10122,plain,
( ! [X0,X1] : equidistant(X0,extension(X1,X0,w1,u),u,w)
| ~ spl0_484
| ~ spl0_532 ),
inference(resolution,[],[f10090,f8854]) ).
fof(f14822,plain,
( spl0_699
| ~ spl0_124
| ~ spl0_169 ),
inference(avatar_split_clause,[],[f2003,f1995,f1174,f14820]) ).
fof(f14820,plain,
( spl0_699
<=> ! [X4,X0,X3,X2,X1] :
( ~ between(X0,X1,X2)
| ~ between(X1,X3,X2)
| between(X1,continuous(X0,X1,X1,X3,X2,extension(X4,X0,X0,X2)),extension(X4,X0,X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_699])]) ).
fof(f1995,plain,
( spl0_169
<=> ! [X4,X0,X3,X2,X1] :
( ~ between(X0,X1,X2)
| ~ equidistant(X0,X2,X0,X3)
| ~ between(X1,X4,X2)
| between(X1,continuous(X0,X1,X1,X4,X2,X3),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).
fof(f2003,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ between(X0,X1,X2)
| ~ between(X1,X3,X2)
| between(X1,continuous(X0,X1,X1,X3,X2,extension(X4,X0,X0,X2)),extension(X4,X0,X0,X2)) )
| ~ spl0_124
| ~ spl0_169 ),
inference(resolution,[],[f1996,f1175]) ).
fof(f1996,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ equidistant(X0,X2,X0,X3)
| ~ between(X0,X1,X2)
| ~ between(X1,X4,X2)
| between(X1,continuous(X0,X1,X1,X4,X2,X3),X3) )
| ~ spl0_169 ),
inference(avatar_component_clause,[],[f1995]) ).
fof(f14818,plain,
( spl0_698
| ~ spl0_16
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f1494,f1489,f99,f14816]) ).
fof(f14816,plain,
( spl0_698
<=> ! [X0,X3,X2,X1] :
( ~ between(X0,X0,X0)
| continuous(X0,X0,X0,inner_pasch(X0,X1,X2,X0,X3),X0,X0) = X0
| ~ between(X3,X0,X2)
| ~ between(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_698])]) ).
fof(f1489,plain,
( spl0_145
<=> ! [X0,X1] :
( ~ between(X0,X1,X0)
| ~ between(X0,X0,X0)
| continuous(X0,X0,X0,X1,X0,X0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).
fof(f1494,plain,
( ! [X2,X3,X0,X1] :
( ~ between(X0,X0,X0)
| continuous(X0,X0,X0,inner_pasch(X0,X1,X2,X0,X3),X0,X0) = X0
| ~ between(X3,X0,X2)
| ~ between(X0,X1,X2) )
| ~ spl0_16
| ~ spl0_145 ),
inference(resolution,[],[f1490,f100]) ).
fof(f1490,plain,
( ! [X0,X1] :
( ~ between(X0,X1,X0)
| ~ between(X0,X0,X0)
| continuous(X0,X0,X0,X1,X0,X0) = X0 )
| ~ spl0_145 ),
inference(avatar_component_clause,[],[f1489]) ).
fof(f14814,plain,
( spl0_697
| ~ spl0_15
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f1493,f1489,f95,f14812]) ).
fof(f14812,plain,
( spl0_697
<=> ! [X0,X3,X2,X1] :
( ~ between(X0,X0,X0)
| continuous(X0,X0,X0,inner_pasch(X1,X0,X2,X3,X0),X0,X0) = X0
| ~ between(X0,X3,X2)
| ~ between(X1,X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_697])]) ).
fof(f95,plain,
( spl0_15
<=> ! [X10,X0,X5,X3,X1] :
( ~ between(X10,X3,X5)
| ~ between(X1,X0,X5)
| between(X3,inner_pasch(X10,X3,X5,X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f1493,plain,
( ! [X2,X3,X0,X1] :
( ~ between(X0,X0,X0)
| continuous(X0,X0,X0,inner_pasch(X1,X0,X2,X3,X0),X0,X0) = X0
| ~ between(X0,X3,X2)
| ~ between(X1,X0,X2) )
| ~ spl0_15
| ~ spl0_145 ),
inference(resolution,[],[f1490,f96]) ).
fof(f96,plain,
( ! [X3,X10,X0,X1,X5] :
( between(X3,inner_pasch(X10,X3,X5,X0,X1),X1)
| ~ between(X1,X0,X5)
| ~ between(X10,X3,X5) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f14798,plain,
( spl0_696
| ~ spl0_75
| ~ spl0_234 ),
inference(avatar_split_clause,[],[f3231,f3205,f625,f14796]) ).
fof(f14796,plain,
( spl0_696
<=> ! [X2,X0,X1] :
( ~ between(w,X0,X1)
| w = X0
| ~ between(w1,X0,X2)
| ~ equidistant(X0,X1,X0,X2)
| ~ equidistant(w,X0,w1,X0)
| equidistant(X1,v,X2,v) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_696])]) ).
fof(f625,plain,
( spl0_75
<=> equidistant(w,v,w1,v) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f3231,plain,
( ! [X2,X0,X1] :
( ~ between(w,X0,X1)
| w = X0
| ~ between(w1,X0,X2)
| ~ equidistant(X0,X1,X0,X2)
| ~ equidistant(w,X0,w1,X0)
| equidistant(X1,v,X2,v) )
| ~ spl0_75
| ~ spl0_234 ),
inference(resolution,[],[f3206,f627]) ).
fof(f627,plain,
( equidistant(w,v,w1,v)
| ~ spl0_75 ),
inference(avatar_component_clause,[],[f625]) ).
fof(f14794,plain,
( spl0_695
| ~ spl0_69
| ~ spl0_234 ),
inference(avatar_split_clause,[],[f3230,f3205,f543,f14792]) ).
fof(f14792,plain,
( spl0_695
<=> ! [X2,X0,X1] :
( ~ between(w,X0,X1)
| w = X0
| ~ between(w1,X0,X2)
| ~ equidistant(X0,X1,X0,X2)
| ~ equidistant(w,X0,w1,X0)
| equidistant(X1,u,X2,u) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_695])]) ).
fof(f543,plain,
( spl0_69
<=> equidistant(w,u,w1,u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f3230,plain,
( ! [X2,X0,X1] :
( ~ between(w,X0,X1)
| w = X0
| ~ between(w1,X0,X2)
| ~ equidistant(X0,X1,X0,X2)
| ~ equidistant(w,X0,w1,X0)
| equidistant(X1,u,X2,u) )
| ~ spl0_69
| ~ spl0_234 ),
inference(resolution,[],[f3206,f545]) ).
fof(f545,plain,
( equidistant(w,u,w1,u)
| ~ spl0_69 ),
inference(avatar_component_clause,[],[f543]) ).
fof(f14766,plain,
( spl0_693
| spl0_694
| ~ spl0_9
| ~ spl0_233 ),
inference(avatar_split_clause,[],[f3161,f2994,f65,f14764,f14760]) ).
fof(f14764,plain,
( spl0_694
<=> ! [X0,X1] :
( ~ between(X0,v,w)
| ~ equidistant(X0,v,X1,w)
| ~ between(X1,w,v)
| ~ equidistant(X0,w1,X1,v)
| v = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_694])]) ).
fof(f65,plain,
( spl0_9
<=> ! [X0,X1] : equidistant(X0,X1,X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f2994,plain,
( spl0_233
<=> ! [X0,X3,X2,X1] :
( ~ between(X0,w,X1)
| ~ between(X2,v,X3)
| v = X2
| ~ equidistant(X2,w1,X0,v)
| ~ equidistant(v,X3,w,X1)
| ~ equidistant(X2,v,X0,w)
| equidistant(X3,w1,X1,v) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_233])]) ).
fof(f3161,plain,
( ! [X0,X1] :
( ~ between(X0,v,w)
| v = X0
| ~ equidistant(X0,w1,X1,v)
| ~ between(X1,w,v)
| ~ equidistant(X0,v,X1,w)
| equidistant(w,w1,v,v) )
| ~ spl0_9
| ~ spl0_233 ),
inference(resolution,[],[f2995,f66]) ).
fof(f66,plain,
( ! [X0,X1] : equidistant(X0,X1,X1,X0)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f2995,plain,
( ! [X2,X3,X0,X1] :
( ~ equidistant(v,X3,w,X1)
| ~ between(X2,v,X3)
| v = X2
| ~ equidistant(X2,w1,X0,v)
| ~ between(X0,w,X1)
| ~ equidistant(X2,v,X0,w)
| equidistant(X3,w1,X1,v) )
| ~ spl0_233 ),
inference(avatar_component_clause,[],[f2994]) ).
fof(f14758,plain,
( spl0_692
| ~ spl0_124
| ~ spl0_532 ),
inference(avatar_split_clause,[],[f10121,f10089,f1174,f14756]) ).
fof(f14756,plain,
( spl0_692
<=> ! [X0,X1] : equidistant(X0,extension(X1,X0,u,w1),u,w) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_692])]) ).
fof(f10121,plain,
( ! [X0,X1] : equidistant(X0,extension(X1,X0,u,w1),u,w)
| ~ spl0_124
| ~ spl0_532 ),
inference(resolution,[],[f10090,f1175]) ).
fof(f14730,plain,
( spl0_690
| spl0_691
| ~ spl0_9
| ~ spl0_232 ),
inference(avatar_split_clause,[],[f3020,f2990,f65,f14728,f14724]) ).
fof(f14728,plain,
( spl0_691
<=> ! [X0,X1] :
( ~ between(X0,u,w)
| ~ equidistant(X0,u,X1,w)
| ~ between(X1,w,u)
| ~ equidistant(X0,w1,X1,u)
| u = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_691])]) ).
fof(f2990,plain,
( spl0_232
<=> ! [X0,X3,X2,X1] :
( ~ between(X0,w,X1)
| ~ between(X2,u,X3)
| u = X2
| ~ equidistant(X2,w1,X0,u)
| ~ equidistant(u,X3,w,X1)
| ~ equidistant(X2,u,X0,w)
| equidistant(X3,w1,X1,u) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_232])]) ).
fof(f3020,plain,
( ! [X0,X1] :
( ~ between(X0,u,w)
| u = X0
| ~ equidistant(X0,w1,X1,u)
| ~ between(X1,w,u)
| ~ equidistant(X0,u,X1,w)
| equidistant(w,w1,u,u) )
| ~ spl0_9
| ~ spl0_232 ),
inference(resolution,[],[f2991,f66]) ).
fof(f2991,plain,
( ! [X2,X3,X0,X1] :
( ~ equidistant(u,X3,w,X1)
| ~ between(X2,u,X3)
| u = X2
| ~ equidistant(X2,w1,X0,u)
| ~ between(X0,w,X1)
| ~ equidistant(X2,u,X0,w)
| equidistant(X3,w1,X1,u) )
| ~ spl0_232 ),
inference(avatar_component_clause,[],[f2990]) ).
fof(f14704,plain,
( spl0_688
| spl0_689
| ~ spl0_9
| ~ spl0_231 ),
inference(avatar_split_clause,[],[f3009,f2986,f65,f14702,f14698]) ).
fof(f14698,plain,
( spl0_688
<=> equidistant(v,v,w,w1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_688])]) ).
fof(f14702,plain,
( spl0_689
<=> ! [X0,X1] :
( ~ between(X0,w,v)
| ~ equidistant(X0,w,X1,v)
| ~ between(X1,v,w)
| ~ equidistant(X0,v,X1,w1)
| w = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_689])]) ).
fof(f2986,plain,
( spl0_231
<=> ! [X0,X3,X2,X1] :
( ~ between(X0,v,X1)
| ~ between(X2,w,X3)
| w = X2
| ~ equidistant(X2,v,X0,w1)
| ~ equidistant(w,X3,v,X1)
| ~ equidistant(X2,w,X0,v)
| equidistant(X3,v,X1,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_231])]) ).
fof(f3009,plain,
( ! [X0,X1] :
( ~ between(X0,w,v)
| w = X0
| ~ equidistant(X0,v,X1,w1)
| ~ between(X1,v,w)
| ~ equidistant(X0,w,X1,v)
| equidistant(v,v,w,w1) )
| ~ spl0_9
| ~ spl0_231 ),
inference(resolution,[],[f2987,f66]) ).
fof(f2987,plain,
( ! [X2,X3,X0,X1] :
( ~ equidistant(w,X3,v,X1)
| ~ between(X2,w,X3)
| w = X2
| ~ equidistant(X2,v,X0,w1)
| ~ between(X0,v,X1)
| ~ equidistant(X2,w,X0,v)
| equidistant(X3,v,X1,w1) )
| ~ spl0_231 ),
inference(avatar_component_clause,[],[f2986]) ).
fof(f14678,plain,
( spl0_686
| spl0_687
| ~ spl0_9
| ~ spl0_230 ),
inference(avatar_split_clause,[],[f2998,f2982,f65,f14676,f14672]) ).
fof(f14672,plain,
( spl0_686
<=> equidistant(u,u,w,w1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_686])]) ).
fof(f14676,plain,
( spl0_687
<=> ! [X0,X1] :
( ~ between(X0,w,u)
| ~ equidistant(X0,w,X1,u)
| ~ between(X1,u,w)
| ~ equidistant(X0,u,X1,w1)
| w = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_687])]) ).
fof(f2982,plain,
( spl0_230
<=> ! [X0,X3,X2,X1] :
( ~ between(X0,u,X1)
| ~ between(X2,w,X3)
| w = X2
| ~ equidistant(X2,u,X0,w1)
| ~ equidistant(w,X3,u,X1)
| ~ equidistant(X2,w,X0,u)
| equidistant(X3,u,X1,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_230])]) ).
fof(f2998,plain,
( ! [X0,X1] :
( ~ between(X0,w,u)
| w = X0
| ~ equidistant(X0,u,X1,w1)
| ~ between(X1,u,w)
| ~ equidistant(X0,w,X1,u)
| equidistant(u,u,w,w1) )
| ~ spl0_9
| ~ spl0_230 ),
inference(resolution,[],[f2983,f66]) ).
fof(f2983,plain,
( ! [X2,X3,X0,X1] :
( ~ equidistant(w,X3,u,X1)
| ~ between(X2,w,X3)
| w = X2
| ~ equidistant(X2,u,X0,w1)
| ~ between(X0,u,X1)
| ~ equidistant(X2,w,X0,u)
| equidistant(X3,u,X1,w1) )
| ~ spl0_230 ),
inference(avatar_component_clause,[],[f2982]) ).
fof(f14441,plain,
( spl0_685
| ~ spl0_29
| ~ spl0_239 ),
inference(avatar_split_clause,[],[f3344,f3333,f186,f14439]) ).
fof(f14439,plain,
( spl0_685
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ between(X0,X1,X2)
| inner_pasch(X3,X1,extension(X3,X1,X4,X5),inner_pasch(extension(X3,X1,X4,X5),X2,X2,X1,X0),X1) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_685])]) ).
fof(f3333,plain,
( spl0_239
<=> ! [X5,X3,X4,X2,X0,X6,X1] :
( inner_pasch(X0,X1,extension(X0,X1,X2,X3),inner_pasch(extension(X0,X1,X2,X3),X4,X5,X1,X6),X1) = X1
| ~ between(X6,X1,X5)
| ~ between(extension(X0,X1,X2,X3),X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_239])]) ).
fof(f3344,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(X0,X1,X2)
| inner_pasch(X3,X1,extension(X3,X1,X4,X5),inner_pasch(extension(X3,X1,X4,X5),X2,X2,X1,X0),X1) = X1 )
| ~ spl0_29
| ~ spl0_239 ),
inference(resolution,[],[f3334,f187]) ).
fof(f3334,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ between(extension(X0,X1,X2,X3),X4,X5)
| ~ between(X6,X1,X5)
| inner_pasch(X0,X1,extension(X0,X1,X2,X3),inner_pasch(extension(X0,X1,X2,X3),X4,X5,X1,X6),X1) = X1 )
| ~ spl0_239 ),
inference(avatar_component_clause,[],[f3333]) ).
fof(f14437,plain,
( spl0_684
| ~ spl0_29
| ~ spl0_238 ),
inference(avatar_split_clause,[],[f3336,f3329,f186,f14435]) ).
fof(f14435,plain,
( spl0_684
<=> ! [X5,X4,X0,X3,X2,X1] :
( inner_pasch(X0,X1,extension(X0,X1,X2,X3),inner_pasch(X4,X1,X5,X5,extension(X0,X1,X2,X3)),X1) = X1
| ~ between(X4,X1,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_684])]) ).
fof(f3329,plain,
( spl0_238
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( inner_pasch(X0,X1,extension(X0,X1,X2,X3),inner_pasch(X4,X1,X5,X6,extension(X0,X1,X2,X3)),X1) = X1
| ~ between(extension(X0,X1,X2,X3),X6,X5)
| ~ between(X4,X1,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_238])]) ).
fof(f3336,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( inner_pasch(X0,X1,extension(X0,X1,X2,X3),inner_pasch(X4,X1,X5,X5,extension(X0,X1,X2,X3)),X1) = X1
| ~ between(X4,X1,X5) )
| ~ spl0_29
| ~ spl0_238 ),
inference(resolution,[],[f3330,f187]) ).
fof(f3330,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ between(extension(X0,X1,X2,X3),X6,X5)
| inner_pasch(X0,X1,extension(X0,X1,X2,X3),inner_pasch(X4,X1,X5,X6,extension(X0,X1,X2,X3)),X1) = X1
| ~ between(X4,X1,X5) )
| ~ spl0_238 ),
inference(avatar_component_clause,[],[f3329]) ).
fof(f14433,plain,
( spl0_683
| ~ spl0_29
| ~ spl0_228 ),
inference(avatar_split_clause,[],[f2967,f2866,f186,f14431]) ).
fof(f14431,plain,
( spl0_683
<=> ! [X0,X3,X2,X1] :
( inner_pasch(X0,X1,euclid2(X0,X2,X1,X1,X3),euclid2(X0,X2,X1,X1,X3),X1) = X1
| ~ between(X0,X1,X3)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_683])]) ).
fof(f2866,plain,
( spl0_228
<=> ! [X4,X0,X3,X2,X1] :
( inner_pasch(X0,X1,euclid2(X0,X2,X3,X1,X4),euclid2(X0,X2,X3,X1,X4),X1) = X1
| ~ between(X2,X3,X1)
| ~ between(X0,X3,X4)
| X0 = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_228])]) ).
fof(f2967,plain,
( ! [X2,X3,X0,X1] :
( inner_pasch(X0,X1,euclid2(X0,X2,X1,X1,X3),euclid2(X0,X2,X1,X1,X3),X1) = X1
| ~ between(X0,X1,X3)
| X0 = X1 )
| ~ spl0_29
| ~ spl0_228 ),
inference(resolution,[],[f2867,f187]) ).
fof(f2867,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ between(X2,X3,X1)
| inner_pasch(X0,X1,euclid2(X0,X2,X3,X1,X4),euclid2(X0,X2,X3,X1,X4),X1) = X1
| ~ between(X0,X3,X4)
| X0 = X3 )
| ~ spl0_228 ),
inference(avatar_component_clause,[],[f2866]) ).
fof(f14429,plain,
( spl0_682
| ~ spl0_29
| ~ spl0_227 ),
inference(avatar_split_clause,[],[f2953,f2862,f186,f14427]) ).
fof(f14427,plain,
( spl0_682
<=> ! [X0,X3,X2,X1] :
( inner_pasch(X0,X1,euclid1(X0,X1,X2,X2,X3),euclid1(X0,X1,X2,X2,X3),X1) = X1
| ~ between(X0,X2,X3)
| X0 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_682])]) ).
fof(f2862,plain,
( spl0_227
<=> ! [X4,X0,X3,X2,X1] :
( inner_pasch(X0,X1,euclid1(X0,X1,X2,X3,X4),euclid1(X0,X1,X2,X3,X4),X1) = X1
| ~ between(X1,X2,X3)
| ~ between(X0,X2,X4)
| X0 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_227])]) ).
fof(f2953,plain,
( ! [X2,X3,X0,X1] :
( inner_pasch(X0,X1,euclid1(X0,X1,X2,X2,X3),euclid1(X0,X1,X2,X2,X3),X1) = X1
| ~ between(X0,X2,X3)
| X0 = X2 )
| ~ spl0_29
| ~ spl0_227 ),
inference(resolution,[],[f2863,f187]) ).
fof(f2863,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ between(X1,X2,X3)
| inner_pasch(X0,X1,euclid1(X0,X1,X2,X3,X4),euclid1(X0,X1,X2,X3,X4),X1) = X1
| ~ between(X0,X2,X4)
| X0 = X2 )
| ~ spl0_227 ),
inference(avatar_component_clause,[],[f2862]) ).
fof(f14425,plain,
( spl0_681
| ~ spl0_29
| ~ spl0_224 ),
inference(avatar_split_clause,[],[f2914,f2850,f186,f14423]) ).
fof(f14423,plain,
( spl0_681
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ between(X0,X1,X2)
| inner_pasch(X1,inner_pasch(X2,extension(X3,X1,X4,X5),extension(X3,X1,X4,X5),X1,X3),X2,X1,X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_681])]) ).
fof(f2850,plain,
( spl0_224
<=> ! [X5,X3,X4,X2,X0,X6,X1] :
( inner_pasch(X0,inner_pasch(X1,X2,extension(X3,X0,X4,X5),X0,X3),X1,X0,X6) = X0
| ~ between(X6,X0,X1)
| ~ between(X1,X2,extension(X3,X0,X4,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_224])]) ).
fof(f2914,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(X0,X1,X2)
| inner_pasch(X1,inner_pasch(X2,extension(X3,X1,X4,X5),extension(X3,X1,X4,X5),X1,X3),X2,X1,X0) = X1 )
| ~ spl0_29
| ~ spl0_224 ),
inference(resolution,[],[f2851,f187]) ).
fof(f2851,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ between(X1,X2,extension(X3,X0,X4,X5))
| ~ between(X6,X0,X1)
| inner_pasch(X0,inner_pasch(X1,X2,extension(X3,X0,X4,X5),X0,X3),X1,X0,X6) = X0 )
| ~ spl0_224 ),
inference(avatar_component_clause,[],[f2850]) ).
fof(f14399,plain,
( spl0_680
| ~ spl0_29
| ~ spl0_223 ),
inference(avatar_split_clause,[],[f2904,f2846,f186,f14397]) ).
fof(f14397,plain,
( spl0_680
<=> ! [X2,X4,X0,X5,X3,X1] :
( inner_pasch(X0,inner_pasch(X1,X0,extension(X1,X0,X2,X3),extension(X1,X0,X2,X3),X4),X4,X0,X5) = X0
| ~ between(X5,X0,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_680])]) ).
fof(f2846,plain,
( spl0_223
<=> ! [X5,X4,X2,X0,X6,X3,X1] :
( inner_pasch(X0,inner_pasch(X1,X0,extension(X1,X0,X2,X3),X4,X5),X5,X0,X6) = X0
| ~ between(X5,X4,extension(X1,X0,X2,X3))
| ~ between(X6,X0,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_223])]) ).
fof(f2904,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( inner_pasch(X0,inner_pasch(X1,X0,extension(X1,X0,X2,X3),extension(X1,X0,X2,X3),X4),X4,X0,X5) = X0
| ~ between(X5,X0,X4) )
| ~ spl0_29
| ~ spl0_223 ),
inference(resolution,[],[f2847,f187]) ).
fof(f2847,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ between(X5,X4,extension(X1,X0,X2,X3))
| inner_pasch(X0,inner_pasch(X1,X0,extension(X1,X0,X2,X3),X4,X5),X5,X0,X6) = X0
| ~ between(X6,X0,X5) )
| ~ spl0_223 ),
inference(avatar_component_clause,[],[f2846]) ).
fof(f14365,plain,
( spl0_679
| ~ spl0_198
| ~ spl0_228 ),
inference(avatar_split_clause,[],[f2978,f2866,f2330,f14363]) ).
fof(f14363,plain,
( spl0_679
<=> ! [X0,X1] :
( w = inner_pasch(X0,w,euclid2(X0,u,u,w,X1),euclid2(X0,u,u,w,X1),w)
| ~ between(X0,u,X1)
| u = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_679])]) ).
fof(f2978,plain,
( ! [X0,X1] :
( w = inner_pasch(X0,w,euclid2(X0,u,u,w,X1),euclid2(X0,u,u,w,X1),w)
| ~ between(X0,u,X1)
| u = X0 )
| ~ spl0_198
| ~ spl0_228 ),
inference(resolution,[],[f2867,f2331]) ).
fof(f14315,plain,
( spl0_678
| ~ spl0_3
| ~ spl0_228 ),
inference(avatar_split_clause,[],[f2977,f2866,f35,f14313]) ).
fof(f14313,plain,
( spl0_678
<=> ! [X0,X1] :
( w = inner_pasch(X0,w,euclid2(X0,u,v,w,X1),euclid2(X0,u,v,w,X1),w)
| ~ between(X0,v,X1)
| v = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_678])]) ).
fof(f2977,plain,
( ! [X0,X1] :
( w = inner_pasch(X0,w,euclid2(X0,u,v,w,X1),euclid2(X0,u,v,w,X1),w)
| ~ between(X0,v,X1)
| v = X0 )
| ~ spl0_3
| ~ spl0_228 ),
inference(resolution,[],[f2867,f37]) ).
fof(f14311,plain,
( spl0_677
| ~ spl0_198
| ~ spl0_227 ),
inference(avatar_split_clause,[],[f2964,f2862,f2330,f14309]) ).
fof(f14309,plain,
( spl0_677
<=> ! [X0,X1] :
( u = inner_pasch(X0,u,euclid1(X0,u,u,w,X1),euclid1(X0,u,u,w,X1),u)
| ~ between(X0,u,X1)
| u = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_677])]) ).
fof(f2964,plain,
( ! [X0,X1] :
( u = inner_pasch(X0,u,euclid1(X0,u,u,w,X1),euclid1(X0,u,u,w,X1),u)
| ~ between(X0,u,X1)
| u = X0 )
| ~ spl0_198
| ~ spl0_227 ),
inference(resolution,[],[f2863,f2331]) ).
fof(f14307,plain,
( spl0_676
| ~ spl0_3
| ~ spl0_227 ),
inference(avatar_split_clause,[],[f2963,f2862,f35,f14305]) ).
fof(f14305,plain,
( spl0_676
<=> ! [X0,X1] :
( u = inner_pasch(X0,u,euclid1(X0,u,v,w,X1),euclid1(X0,u,v,w,X1),u)
| ~ between(X0,v,X1)
| v = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_676])]) ).
fof(f2963,plain,
( ! [X0,X1] :
( u = inner_pasch(X0,u,euclid1(X0,u,v,w,X1),euclid1(X0,u,v,w,X1),u)
| ~ between(X0,v,X1)
| v = X0 )
| ~ spl0_3
| ~ spl0_227 ),
inference(resolution,[],[f2863,f37]) ).
fof(f14303,plain,
( spl0_675
| ~ spl0_29
| ~ spl0_219 ),
inference(avatar_split_clause,[],[f2806,f2789,f186,f14301]) ).
fof(f14301,plain,
( spl0_675
<=> ! [X0] :
( ~ between(v,w,extension(X0,v,v,w1))
| w1 = continuous(v,w,w1,extension(X0,v,v,w1),extension(X0,v,v,w1),w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_675])]) ).
fof(f2789,plain,
( spl0_219
<=> ! [X0,X1] :
( ~ between(w,X0,extension(X1,v,v,w1))
| ~ between(v,w,extension(X1,v,v,w1))
| w1 = continuous(v,w,w1,X0,extension(X1,v,v,w1),w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_219])]) ).
fof(f2806,plain,
( ! [X0] :
( ~ between(v,w,extension(X0,v,v,w1))
| w1 = continuous(v,w,w1,extension(X0,v,v,w1),extension(X0,v,v,w1),w1) )
| ~ spl0_29
| ~ spl0_219 ),
inference(resolution,[],[f2790,f187]) ).
fof(f2790,plain,
( ! [X0,X1] :
( ~ between(w,X0,extension(X1,v,v,w1))
| ~ between(v,w,extension(X1,v,v,w1))
| w1 = continuous(v,w,w1,X0,extension(X1,v,v,w1),w1) )
| ~ spl0_219 ),
inference(avatar_component_clause,[],[f2789]) ).
fof(f14299,plain,
( spl0_674
| ~ spl0_29
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f2801,f2785,f186,f14297]) ).
fof(f14297,plain,
( spl0_674
<=> ! [X0] :
( ~ between(u,w,extension(X0,u,u,w1))
| w1 = continuous(u,w,w1,extension(X0,u,u,w1),extension(X0,u,u,w1),w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_674])]) ).
fof(f2785,plain,
( spl0_218
<=> ! [X0,X1] :
( ~ between(w,X0,extension(X1,u,u,w1))
| ~ between(u,w,extension(X1,u,u,w1))
| w1 = continuous(u,w,w1,X0,extension(X1,u,u,w1),w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_218])]) ).
fof(f2801,plain,
( ! [X0] :
( ~ between(u,w,extension(X0,u,u,w1))
| w1 = continuous(u,w,w1,extension(X0,u,u,w1),extension(X0,u,u,w1),w1) )
| ~ spl0_29
| ~ spl0_218 ),
inference(resolution,[],[f2786,f187]) ).
fof(f2786,plain,
( ! [X0,X1] :
( ~ between(w,X0,extension(X1,u,u,w1))
| ~ between(u,w,extension(X1,u,u,w1))
| w1 = continuous(u,w,w1,X0,extension(X1,u,u,w1),w1) )
| ~ spl0_218 ),
inference(avatar_component_clause,[],[f2785]) ).
fof(f14295,plain,
( spl0_673
| ~ spl0_12
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f1786,f1505,f77,f14293]) ).
fof(f14293,plain,
( spl0_673
<=> ! [X0,X3,X2,X1] :
( ~ between(X0,v,extension(w,X1,X2,X3))
| v = inner_pasch(u,v,w,inner_pasch(w,X1,extension(w,X1,X2,X3),v,X0),v) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_673])]) ).
fof(f1505,plain,
( spl0_147
<=> ! [X2,X0,X1] :
( v = inner_pasch(u,v,w,inner_pasch(w,X0,X1,v,X2),v)
| ~ between(X2,v,X1)
| ~ between(w,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).
fof(f1786,plain,
( ! [X2,X3,X0,X1] :
( ~ between(X0,v,extension(w,X1,X2,X3))
| v = inner_pasch(u,v,w,inner_pasch(w,X1,extension(w,X1,X2,X3),v,X0),v) )
| ~ spl0_12
| ~ spl0_147 ),
inference(resolution,[],[f1506,f78]) ).
fof(f1506,plain,
( ! [X2,X0,X1] :
( ~ between(w,X0,X1)
| ~ between(X2,v,X1)
| v = inner_pasch(u,v,w,inner_pasch(w,X0,X1,v,X2),v) )
| ~ spl0_147 ),
inference(avatar_component_clause,[],[f1505]) ).
fof(f14291,plain,
( spl0_672
| ~ spl0_12
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f1760,f1501,f77,f14289]) ).
fof(f14289,plain,
( spl0_672
<=> ! [X0,X3,X2,X1] :
( v = inner_pasch(u,v,w,inner_pasch(X0,v,extension(w,X1,X2,X3),X1,w),v)
| ~ between(X0,v,extension(w,X1,X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_672])]) ).
fof(f1501,plain,
( spl0_146
<=> ! [X2,X0,X1] :
( v = inner_pasch(u,v,w,inner_pasch(X0,v,X1,X2,w),v)
| ~ between(w,X2,X1)
| ~ between(X0,v,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).
fof(f1760,plain,
( ! [X2,X3,X0,X1] :
( v = inner_pasch(u,v,w,inner_pasch(X0,v,extension(w,X1,X2,X3),X1,w),v)
| ~ between(X0,v,extension(w,X1,X2,X3)) )
| ~ spl0_12
| ~ spl0_146 ),
inference(resolution,[],[f1502,f78]) ).
fof(f1502,plain,
( ! [X2,X0,X1] :
( ~ between(w,X2,X1)
| v = inner_pasch(u,v,w,inner_pasch(X0,v,X1,X2,w),v)
| ~ between(X0,v,X1) )
| ~ spl0_146 ),
inference(avatar_component_clause,[],[f1501]) ).
fof(f14281,plain,
( spl0_1
| spl0_671
| ~ spl0_23
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f756,f491,f135,f14279,f25]) ).
fof(f14279,plain,
( spl0_671
<=> ! [X0,X1] :
( between(v,X0,X1)
| ~ equidistant(X0,w1,X0,w)
| ~ equidistant(X1,w1,X1,w)
| between(X0,X1,v)
| between(X1,v,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_671])]) ).
fof(f135,plain,
( spl0_23
<=> ! [X2,X3,X0,X5,X1] :
( X3 = X5
| between(X2,X0,X1)
| between(X1,X2,X0)
| between(X0,X1,X2)
| ~ equidistant(X2,X5,X2,X3)
| ~ equidistant(X1,X5,X1,X3)
| ~ equidistant(X0,X5,X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f756,plain,
( ! [X0,X1] :
( between(v,X0,X1)
| between(X1,v,X0)
| between(X0,X1,v)
| w = w1
| ~ equidistant(X1,w1,X1,w)
| ~ equidistant(X0,w1,X0,w) )
| ~ spl0_23
| ~ spl0_63 ),
inference(resolution,[],[f493,f136]) ).
fof(f136,plain,
( ! [X2,X3,X0,X1,X5] :
( ~ equidistant(X2,X5,X2,X3)
| between(X2,X0,X1)
| between(X1,X2,X0)
| between(X0,X1,X2)
| X3 = X5
| ~ equidistant(X1,X5,X1,X3)
| ~ equidistant(X0,X5,X0,X3) )
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f14225,plain,
( spl0_1
| spl0_670
| ~ spl0_23
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f699,f449,f135,f14223,f25]) ).
fof(f14223,plain,
( spl0_670
<=> ! [X0,X1] :
( between(u,X0,X1)
| ~ equidistant(X0,w1,X0,w)
| ~ equidistant(X1,w1,X1,w)
| between(X0,X1,u)
| between(X1,u,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_670])]) ).
fof(f699,plain,
( ! [X0,X1] :
( between(u,X0,X1)
| between(X1,u,X0)
| between(X0,X1,u)
| w = w1
| ~ equidistant(X1,w1,X1,w)
| ~ equidistant(X0,w1,X0,w) )
| ~ spl0_23
| ~ spl0_57 ),
inference(resolution,[],[f451,f136]) ).
fof(f14192,plain,
( spl0_669
| ~ spl0_12
| ~ spl0_170 ),
inference(avatar_split_clause,[],[f2044,f2036,f77,f14190]) ).
fof(f14190,plain,
( spl0_669
<=> ! [X4,X0,X3,X2,X1] :
( ~ between(X0,X1,X2)
| inner_pasch(X0,X0,euclid1(X0,X0,X1,X2,extension(X0,X1,X3,X4)),X0,X0) = X0
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_669])]) ).
fof(f2036,plain,
( spl0_170
<=> ! [X0,X3,X2,X1] :
( inner_pasch(X0,X0,euclid1(X0,X0,X1,X2,X3),X0,X0) = X0
| ~ between(X0,X1,X2)
| ~ between(X0,X1,X3)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).
fof(f2044,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ between(X0,X1,X2)
| inner_pasch(X0,X0,euclid1(X0,X0,X1,X2,extension(X0,X1,X3,X4)),X0,X0) = X0
| X0 = X1 )
| ~ spl0_12
| ~ spl0_170 ),
inference(resolution,[],[f2037,f78]) ).
fof(f2037,plain,
( ! [X2,X3,X0,X1] :
( ~ between(X0,X1,X3)
| ~ between(X0,X1,X2)
| inner_pasch(X0,X0,euclid1(X0,X0,X1,X2,X3),X0,X0) = X0
| X0 = X1 )
| ~ spl0_170 ),
inference(avatar_component_clause,[],[f2036]) ).
fof(f14170,plain,
( spl0_668
| ~ spl0_53
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f3299,f2151,f408,f14168]) ).
fof(f14168,plain,
( spl0_668
<=> ! [X0,X1] :
( ~ equidistant(X0,u,extension(X1,u,X0,w),w)
| ~ between(extension(X1,u,X0,w),w,u)
| ~ between(X0,u,w1)
| u = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_668])]) ).
fof(f3299,plain,
( ! [X0,X1] :
( ~ equidistant(X0,u,extension(X1,u,X0,w),w)
| ~ between(extension(X1,u,X0,w),w,u)
| ~ between(X0,u,w1)
| u = X0 )
| ~ spl0_53
| ~ spl0_181 ),
inference(resolution,[],[f2152,f409]) ).
fof(f14166,plain,
( spl0_667
| ~ spl0_128
| ~ spl0_497 ),
inference(avatar_split_clause,[],[f9676,f9046,f1229,f14164]) ).
fof(f14164,plain,
( spl0_667
<=> ! [X0,X1] : equidistant(extension(X0,X1,w1,v),X1,w,v) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_667])]) ).
fof(f9676,plain,
( ! [X0,X1] : equidistant(extension(X0,X1,w1,v),X1,w,v)
| ~ spl0_128
| ~ spl0_497 ),
inference(resolution,[],[f9047,f1230]) ).
fof(f14162,plain,
( spl0_666
| ~ spl0_53
| ~ spl0_175 ),
inference(avatar_split_clause,[],[f3138,f2112,f408,f14160]) ).
fof(f14160,plain,
( spl0_666
<=> ! [X0,X1] :
( ~ between(X0,w,u)
| ~ between(extension(X1,u,X0,w),u,w1)
| ~ equidistant(X0,u,extension(X1,u,X0,w),w)
| w = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_666])]) ).
fof(f3138,plain,
( ! [X0,X1] :
( ~ between(X0,w,u)
| ~ between(extension(X1,u,X0,w),u,w1)
| ~ equidistant(X0,u,extension(X1,u,X0,w),w)
| w = X0 )
| ~ spl0_53
| ~ spl0_175 ),
inference(resolution,[],[f2113,f409]) ).
fof(f14158,plain,
( spl0_665
| ~ spl0_53
| ~ spl0_186 ),
inference(avatar_split_clause,[],[f2606,f2179,f408,f14156]) ).
fof(f14156,plain,
( spl0_665
<=> ! [X0,X1] :
( ~ equidistant(X0,v,extension(X1,v,X0,w),w)
| ~ between(extension(X1,v,X0,w),w,v)
| ~ between(X0,v,w1)
| v = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_665])]) ).
fof(f2606,plain,
( ! [X0,X1] :
( ~ equidistant(X0,v,extension(X1,v,X0,w),w)
| ~ between(extension(X1,v,X0,w),w,v)
| ~ between(X0,v,w1)
| v = X0 )
| ~ spl0_53
| ~ spl0_186 ),
inference(resolution,[],[f2180,f409]) ).
fof(f14154,plain,
( spl0_664
| ~ spl0_53
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f2598,f2121,f408,f14152]) ).
fof(f14152,plain,
( spl0_664
<=> ! [X0,X1] :
( ~ between(X0,w,v)
| ~ between(extension(X1,v,X0,w),v,w1)
| ~ equidistant(X0,v,extension(X1,v,X0,w),w)
| w = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_664])]) ).
fof(f2598,plain,
( ! [X0,X1] :
( ~ between(X0,w,v)
| ~ between(extension(X1,v,X0,w),v,w1)
| ~ equidistant(X0,v,extension(X1,v,X0,w),w)
| w = X0 )
| ~ spl0_53
| ~ spl0_177 ),
inference(resolution,[],[f2122,f409]) ).
fof(f14150,plain,
( spl0_663
| ~ spl0_53
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f2295,f2290,f408,f14148]) ).
fof(f14148,plain,
( spl0_663
<=> ! [X0,X1] :
( ~ between(extension(X0,u,X1,v),u,v)
| ~ equidistant(X1,u,extension(X0,u,X1,v),v)
| ~ between(X1,v,w1)
| v = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_663])]) ).
fof(f2295,plain,
( ! [X0,X1] :
( ~ between(extension(X0,u,X1,v),u,v)
| ~ equidistant(X1,u,extension(X0,u,X1,v),v)
| ~ between(X1,v,w1)
| v = X1 )
| ~ spl0_53
| ~ spl0_193 ),
inference(resolution,[],[f2291,f409]) ).
fof(f14146,plain,
( spl0_662
| ~ spl0_53
| ~ spl0_179 ),
inference(avatar_split_clause,[],[f2141,f2136,f408,f14144]) ).
fof(f14144,plain,
( spl0_662
<=> ! [X0,X1] :
( u = X0
| ~ equidistant(X0,u,extension(X1,u,X0,v),v)
| ~ between(X0,u,v)
| ~ between(extension(X1,u,X0,v),v,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_662])]) ).
fof(f2141,plain,
( ! [X0,X1] :
( u = X0
| ~ equidistant(X0,u,extension(X1,u,X0,v),v)
| ~ between(X0,u,v)
| ~ between(extension(X1,u,X0,v),v,w1) )
| ~ spl0_53
| ~ spl0_179 ),
inference(resolution,[],[f2137,f409]) ).
fof(f13962,plain,
( spl0_661
| ~ spl0_21
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f757,f491,f121,f13960]) ).
fof(f13960,plain,
( spl0_661
<=> ! [X2,X0,X1] :
( ~ between(v,w1,X0)
| ~ equidistant(v,X0,v,X1)
| ~ between(w1,X2,X0)
| between(w,continuous(v,w1,w,X2,X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_661])]) ).
fof(f121,plain,
( spl0_21
<=> ! [X6,X10,X9,X0,X5,X3] :
( ~ between(X3,X5,X0)
| ~ between(X10,X3,X0)
| ~ equidistant(X10,X0,X10,X6)
| ~ equidistant(X10,X3,X10,X9)
| between(X9,continuous(X10,X3,X9,X5,X0,X6),X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f757,plain,
( ! [X2,X0,X1] :
( ~ between(v,w1,X0)
| ~ equidistant(v,X0,v,X1)
| ~ between(w1,X2,X0)
| between(w,continuous(v,w1,w,X2,X0,X1),X1) )
| ~ spl0_21
| ~ spl0_63 ),
inference(resolution,[],[f493,f122]) ).
fof(f122,plain,
( ! [X3,X10,X0,X6,X9,X5] :
( ~ equidistant(X10,X3,X10,X9)
| ~ between(X10,X3,X0)
| ~ equidistant(X10,X0,X10,X6)
| ~ between(X3,X5,X0)
| between(X9,continuous(X10,X3,X9,X5,X0,X6),X6) )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f13958,plain,
( spl0_660
| ~ spl0_21
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f700,f449,f121,f13956]) ).
fof(f13956,plain,
( spl0_660
<=> ! [X2,X0,X1] :
( ~ between(u,w1,X0)
| ~ equidistant(u,X0,u,X1)
| ~ between(w1,X2,X0)
| between(w,continuous(u,w1,w,X2,X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_660])]) ).
fof(f700,plain,
( ! [X2,X0,X1] :
( ~ between(u,w1,X0)
| ~ equidistant(u,X0,u,X1)
| ~ between(w1,X2,X0)
| between(w,continuous(u,w1,w,X2,X0,X1),X1) )
| ~ spl0_21
| ~ spl0_57 ),
inference(resolution,[],[f451,f122]) ).
fof(f13900,plain,
( spl0_659
| ~ spl0_127
| ~ spl0_497 ),
inference(avatar_split_clause,[],[f9673,f9046,f1225,f13898]) ).
fof(f13898,plain,
( spl0_659
<=> ! [X0,X1] : equidistant(extension(X0,X1,w1,u),X1,w,u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_659])]) ).
fof(f9673,plain,
( ! [X0,X1] : equidistant(extension(X0,X1,w1,u),X1,w,u)
| ~ spl0_127
| ~ spl0_497 ),
inference(resolution,[],[f9047,f1226]) ).
fof(f13875,plain,
( spl0_658
| ~ spl0_52
| ~ spl0_217 ),
inference(avatar_split_clause,[],[f2767,f2762,f379,f13873]) ).
fof(f13873,plain,
( spl0_658
<=> ! [X0,X3,X2,X1] :
( ~ between(X0,X1,X2)
| ~ equidistant(X0,X1,X0,X3)
| ~ between(X1,X0,X2)
| continuous(X0,X1,X3,X0,X2,X2) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_658])]) ).
fof(f2767,plain,
( ! [X2,X3,X0,X1] :
( ~ between(X0,X1,X2)
| ~ equidistant(X0,X1,X0,X3)
| ~ between(X1,X0,X2)
| continuous(X0,X1,X3,X0,X2,X2) = X0 )
| ~ spl0_52
| ~ spl0_217 ),
inference(resolution,[],[f2763,f380]) ).
fof(f13871,plain,
( spl0_657
| ~ spl0_29
| ~ spl0_213 ),
inference(avatar_split_clause,[],[f2706,f2512,f186,f13869]) ).
fof(f13869,plain,
( spl0_657
<=> ! [X2,X0,X1] :
( ~ between(X0,X0,X0)
| ~ between(X0,X1,X0)
| inner_pasch(X0,continuous(X0,X0,X0,X1,X0,X0),X0,X0,X2) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_657])]) ).
fof(f2512,plain,
( spl0_213
<=> ! [X0,X3,X2,X1] :
( ~ between(X0,X1,X2)
| ~ between(X0,X0,X2)
| ~ between(X3,X0,X2)
| inner_pasch(X0,continuous(X0,X0,X0,X1,X2,X2),X2,X0,X3) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_213])]) ).
fof(f2706,plain,
( ! [X2,X0,X1] :
( ~ between(X0,X0,X0)
| ~ between(X0,X1,X0)
| inner_pasch(X0,continuous(X0,X0,X0,X1,X0,X0),X0,X0,X2) = X0 )
| ~ spl0_29
| ~ spl0_213 ),
inference(resolution,[],[f2513,f187]) ).
fof(f2513,plain,
( ! [X2,X3,X0,X1] :
( ~ between(X3,X0,X2)
| ~ between(X0,X0,X2)
| ~ between(X0,X1,X2)
| inner_pasch(X0,continuous(X0,X0,X0,X1,X2,X2),X2,X0,X3) = X0 )
| ~ spl0_213 ),
inference(avatar_component_clause,[],[f2512]) ).
fof(f13707,plain,
( spl0_656
| ~ spl0_128
| ~ spl0_484 ),
inference(avatar_split_clause,[],[f9244,f8853,f1229,f13705]) ).
fof(f13705,plain,
( spl0_656
<=> ! [X0,X1] : equidistant(X0,extension(X1,X0,w1,v),w,v) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_656])]) ).
fof(f9244,plain,
( ! [X0,X1] : equidistant(X0,extension(X1,X0,w1,v),w,v)
| ~ spl0_128
| ~ spl0_484 ),
inference(resolution,[],[f8854,f1230]) ).
fof(f13619,plain,
( spl0_655
| ~ spl0_63
| ~ spl0_217 ),
inference(avatar_split_clause,[],[f2783,f2762,f491,f13617]) ).
fof(f13617,plain,
( spl0_655
<=> ! [X0,X1] :
( ~ between(v,X0,w1)
| ~ equidistant(v,X0,v,X1)
| ~ between(X0,v,w1)
| v = continuous(v,X0,X1,v,w1,w) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_655])]) ).
fof(f2783,plain,
( ! [X0,X1] :
( ~ between(v,X0,w1)
| ~ equidistant(v,X0,v,X1)
| ~ between(X0,v,w1)
| v = continuous(v,X0,X1,v,w1,w) )
| ~ spl0_63
| ~ spl0_217 ),
inference(resolution,[],[f2763,f493]) ).
fof(f13615,plain,
( spl0_654
| ~ spl0_57
| ~ spl0_217 ),
inference(avatar_split_clause,[],[f2782,f2762,f449,f13613]) ).
fof(f13613,plain,
( spl0_654
<=> ! [X0,X1] :
( ~ between(u,X0,w1)
| ~ equidistant(u,X0,u,X1)
| ~ between(X0,u,w1)
| u = continuous(u,X0,X1,u,w1,w) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_654])]) ).
fof(f2782,plain,
( ! [X0,X1] :
( ~ between(u,X0,w1)
| ~ equidistant(u,X0,u,X1)
| ~ between(X0,u,w1)
| u = continuous(u,X0,X1,u,w1,w) )
| ~ spl0_57
| ~ spl0_217 ),
inference(resolution,[],[f2763,f451]) ).
fof(f13611,plain,
( spl0_653
| ~ spl0_8
| ~ spl0_217 ),
inference(avatar_split_clause,[],[f2781,f2762,f60,f13609]) ).
fof(f13609,plain,
( spl0_653
<=> ! [X0,X1] :
( ~ between(v,X0,w)
| ~ equidistant(v,X0,v,X1)
| ~ between(X0,v,w)
| v = continuous(v,X0,X1,v,w,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_653])]) ).
fof(f2781,plain,
( ! [X0,X1] :
( ~ between(v,X0,w)
| ~ equidistant(v,X0,v,X1)
| ~ between(X0,v,w)
| v = continuous(v,X0,X1,v,w,w1) )
| ~ spl0_8
| ~ spl0_217 ),
inference(resolution,[],[f2763,f62]) ).
fof(f13607,plain,
( spl0_652
| ~ spl0_7
| ~ spl0_217 ),
inference(avatar_split_clause,[],[f2780,f2762,f55,f13605]) ).
fof(f13605,plain,
( spl0_652
<=> ! [X0,X1] :
( ~ between(u,X0,w)
| ~ equidistant(u,X0,u,X1)
| ~ between(X0,u,w)
| u = continuous(u,X0,X1,u,w,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_652])]) ).
fof(f2780,plain,
( ! [X0,X1] :
( ~ between(u,X0,w)
| ~ equidistant(u,X0,u,X1)
| ~ between(X0,u,w)
| u = continuous(u,X0,X1,u,w,w1) )
| ~ spl0_7
| ~ spl0_217 ),
inference(resolution,[],[f2763,f57]) ).
fof(f13603,plain,
( spl0_651
| ~ spl0_127
| ~ spl0_484 ),
inference(avatar_split_clause,[],[f9233,f8853,f1225,f13601]) ).
fof(f13601,plain,
( spl0_651
<=> ! [X0,X1] : equidistant(X0,extension(X1,X0,w1,u),w,u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_651])]) ).
fof(f9233,plain,
( ! [X0,X1] : equidistant(X0,extension(X1,X0,w1,u),w,u)
| ~ spl0_127
| ~ spl0_484 ),
inference(resolution,[],[f8854,f1226]) ).
fof(f13587,plain,
( spl0_650
| ~ spl0_198
| ~ spl0_198
| ~ spl0_213 ),
inference(avatar_split_clause,[],[f2717,f2512,f2330,f2330,f13585]) ).
fof(f13585,plain,
( spl0_650
<=> ! [X0] :
( ~ between(u,X0,w)
| u = inner_pasch(u,continuous(u,u,u,X0,w,w),w,u,u) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_650])]) ).
fof(f2717,plain,
( ! [X0] :
( ~ between(u,u,w)
| ~ between(u,X0,w)
| u = inner_pasch(u,continuous(u,u,u,X0,w,w),w,u,u) )
| ~ spl0_198
| ~ spl0_213 ),
inference(resolution,[],[f2513,f2331]) ).
fof(f13583,plain,
( spl0_649
| ~ spl0_29
| ~ spl0_210 ),
inference(avatar_split_clause,[],[f2689,f2421,f186,f13581]) ).
fof(f13581,plain,
( spl0_649
<=> ! [X0,X1] :
( w1 = inner_pasch(w1,continuous(v,u,w1,X0,u,u),u,w1,X1)
| ~ between(u,X0,u)
| ~ between(X1,w1,u) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_649])]) ).
fof(f2421,plain,
( spl0_210
<=> ! [X2,X0,X1] :
( w1 = inner_pasch(w1,continuous(v,u,w1,X0,X1,X1),X1,w1,X2)
| ~ between(v,u,X1)
| ~ between(u,X0,X1)
| ~ between(X2,w1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_210])]) ).
fof(f2689,plain,
( ! [X0,X1] :
( w1 = inner_pasch(w1,continuous(v,u,w1,X0,u,u),u,w1,X1)
| ~ between(u,X0,u)
| ~ between(X1,w1,u) )
| ~ spl0_29
| ~ spl0_210 ),
inference(resolution,[],[f2422,f187]) ).
fof(f2422,plain,
( ! [X2,X0,X1] :
( ~ between(v,u,X1)
| w1 = inner_pasch(w1,continuous(v,u,w1,X0,X1,X1),X1,w1,X2)
| ~ between(u,X0,X1)
| ~ between(X2,w1,X1) )
| ~ spl0_210 ),
inference(avatar_component_clause,[],[f2421]) ).
fof(f13579,plain,
( spl0_648
| ~ spl0_29
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f2660,f2309,f186,f13577]) ).
fof(f13577,plain,
( spl0_648
<=> ! [X0,X1] :
( ~ between(v,w,X0)
| ~ between(X1,w1,X0)
| w1 = inner_pasch(w1,continuous(v,w,w1,X0,X0,X0),X0,w1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_648])]) ).
fof(f2309,plain,
( spl0_195
<=> ! [X2,X0,X1] :
( ~ between(w,X0,X1)
| ~ between(v,w,X1)
| ~ between(X2,w1,X1)
| w1 = inner_pasch(w1,continuous(v,w,w1,X0,X1,X1),X1,w1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_195])]) ).
fof(f2660,plain,
( ! [X0,X1] :
( ~ between(v,w,X0)
| ~ between(X1,w1,X0)
| w1 = inner_pasch(w1,continuous(v,w,w1,X0,X0,X0),X0,w1,X1) )
| ~ spl0_29
| ~ spl0_195 ),
inference(resolution,[],[f2310,f187]) ).
fof(f2310,plain,
( ! [X2,X0,X1] :
( ~ between(w,X0,X1)
| ~ between(v,w,X1)
| ~ between(X2,w1,X1)
| w1 = inner_pasch(w1,continuous(v,w,w1,X0,X1,X1),X1,w1,X2) )
| ~ spl0_195 ),
inference(avatar_component_clause,[],[f2309]) ).
fof(f13575,plain,
( spl0_647
| ~ spl0_29
| ~ spl0_190 ),
inference(avatar_split_clause,[],[f2653,f2228,f186,f13573]) ).
fof(f13573,plain,
( spl0_647
<=> ! [X0,X1] :
( ~ between(u,w,X0)
| ~ between(X1,w1,X0)
| w1 = inner_pasch(w1,continuous(u,w,w1,X0,X0,X0),X0,w1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_647])]) ).
fof(f2228,plain,
( spl0_190
<=> ! [X2,X0,X1] :
( ~ between(w,X0,X1)
| ~ between(u,w,X1)
| ~ between(X2,w1,X1)
| w1 = inner_pasch(w1,continuous(u,w,w1,X0,X1,X1),X1,w1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_190])]) ).
fof(f2653,plain,
( ! [X0,X1] :
( ~ between(u,w,X0)
| ~ between(X1,w1,X0)
| w1 = inner_pasch(w1,continuous(u,w,w1,X0,X0,X0),X0,w1,X1) )
| ~ spl0_29
| ~ spl0_190 ),
inference(resolution,[],[f2229,f187]) ).
fof(f2229,plain,
( ! [X2,X0,X1] :
( ~ between(w,X0,X1)
| ~ between(u,w,X1)
| ~ between(X2,w1,X1)
| w1 = inner_pasch(w1,continuous(u,w,w1,X0,X1,X1),X1,w1,X2) )
| ~ spl0_190 ),
inference(avatar_component_clause,[],[f2228]) ).
fof(f13571,plain,
( spl0_646
| ~ spl0_198
| ~ spl0_207 ),
inference(avatar_split_clause,[],[f2520,f2383,f2330,f13569]) ).
fof(f13569,plain,
( spl0_646
<=> ! [X0,X1] :
( w1 = inner_pasch(w1,continuous(u,u,w1,X0,w,w),w,w1,X1)
| ~ between(u,X0,w)
| ~ between(X1,w1,w) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_646])]) ).
fof(f2383,plain,
( spl0_207
<=> ! [X2,X0,X1] :
( w1 = inner_pasch(w1,continuous(u,u,w1,X0,X1,X1),X1,w1,X2)
| ~ between(u,u,X1)
| ~ between(u,X0,X1)
| ~ between(X2,w1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_207])]) ).
fof(f2520,plain,
( ! [X0,X1] :
( w1 = inner_pasch(w1,continuous(u,u,w1,X0,w,w),w,w1,X1)
| ~ between(u,X0,w)
| ~ between(X1,w1,w) )
| ~ spl0_198
| ~ spl0_207 ),
inference(resolution,[],[f2331,f2384]) ).
fof(f2384,plain,
( ! [X2,X0,X1] :
( ~ between(u,u,X1)
| w1 = inner_pasch(w1,continuous(u,u,w1,X0,X1,X1),X1,w1,X2)
| ~ between(u,X0,X1)
| ~ between(X2,w1,X1) )
| ~ spl0_207 ),
inference(avatar_component_clause,[],[f2383]) ).
fof(f13567,plain,
( spl0_645
| ~ spl0_29
| ~ spl0_207 ),
inference(avatar_split_clause,[],[f2438,f2383,f186,f13565]) ).
fof(f13565,plain,
( spl0_645
<=> ! [X0,X1] :
( w1 = inner_pasch(w1,continuous(u,u,w1,X0,u,u),u,w1,X1)
| ~ between(u,X0,u)
| ~ between(X1,w1,u) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_645])]) ).
fof(f2438,plain,
( ! [X0,X1] :
( w1 = inner_pasch(w1,continuous(u,u,w1,X0,u,u),u,w1,X1)
| ~ between(u,X0,u)
| ~ between(X1,w1,u) )
| ~ spl0_29
| ~ spl0_207 ),
inference(resolution,[],[f2384,f187]) ).
fof(f13563,plain,
( spl0_644
| ~ spl0_16
| ~ spl0_144 ),
inference(avatar_split_clause,[],[f1486,f1479,f99,f13561]) ).
fof(f13561,plain,
( spl0_644
<=> ! [X2,X0,X1] :
( w1 = continuous(v,w,w1,inner_pasch(w,X0,X1,w,X2),w,w1)
| ~ between(X2,w,X1)
| ~ between(w,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_644])]) ).
fof(f1479,plain,
( spl0_144
<=> ! [X0] :
( ~ between(w,X0,w)
| w1 = continuous(v,w,w1,X0,w,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).
fof(f1486,plain,
( ! [X2,X0,X1] :
( w1 = continuous(v,w,w1,inner_pasch(w,X0,X1,w,X2),w,w1)
| ~ between(X2,w,X1)
| ~ between(w,X0,X1) )
| ~ spl0_16
| ~ spl0_144 ),
inference(resolution,[],[f1480,f100]) ).
fof(f1480,plain,
( ! [X0] :
( ~ between(w,X0,w)
| w1 = continuous(v,w,w1,X0,w,w1) )
| ~ spl0_144 ),
inference(avatar_component_clause,[],[f1479]) ).
fof(f13559,plain,
( spl0_643
| ~ spl0_15
| ~ spl0_144 ),
inference(avatar_split_clause,[],[f1485,f1479,f95,f13557]) ).
fof(f13557,plain,
( spl0_643
<=> ! [X2,X0,X1] :
( w1 = continuous(v,w,w1,inner_pasch(X0,w,X1,X2,w),w,w1)
| ~ between(w,X2,X1)
| ~ between(X0,w,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_643])]) ).
fof(f1485,plain,
( ! [X2,X0,X1] :
( w1 = continuous(v,w,w1,inner_pasch(X0,w,X1,X2,w),w,w1)
| ~ between(w,X2,X1)
| ~ between(X0,w,X1) )
| ~ spl0_15
| ~ spl0_144 ),
inference(resolution,[],[f1480,f96]) ).
fof(f13555,plain,
( spl0_642
| ~ spl0_16
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f1457,f1450,f99,f13553]) ).
fof(f13553,plain,
( spl0_642
<=> ! [X2,X0,X1] :
( w1 = continuous(u,w,w1,inner_pasch(w,X0,X1,w,X2),w,w1)
| ~ between(X2,w,X1)
| ~ between(w,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_642])]) ).
fof(f1450,plain,
( spl0_140
<=> ! [X0] :
( ~ between(w,X0,w)
| w1 = continuous(u,w,w1,X0,w,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
fof(f1457,plain,
( ! [X2,X0,X1] :
( w1 = continuous(u,w,w1,inner_pasch(w,X0,X1,w,X2),w,w1)
| ~ between(X2,w,X1)
| ~ between(w,X0,X1) )
| ~ spl0_16
| ~ spl0_140 ),
inference(resolution,[],[f1451,f100]) ).
fof(f1451,plain,
( ! [X0] :
( ~ between(w,X0,w)
| w1 = continuous(u,w,w1,X0,w,w1) )
| ~ spl0_140 ),
inference(avatar_component_clause,[],[f1450]) ).
fof(f13551,plain,
( spl0_641
| ~ spl0_27
| ~ spl0_386 ),
inference(avatar_split_clause,[],[f8004,f5906,f169,f13549]) ).
fof(f13549,plain,
( spl0_641
<=> ! [X0,X1] : equidistant(extension(X0,X1,v,w),X1,w1,v) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_641])]) ).
fof(f5906,plain,
( spl0_386
<=> ! [X0,X1] : equidistant(v,w1,extension(X0,X1,v,w),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_386])]) ).
fof(f8004,plain,
( ! [X0,X1] : equidistant(extension(X0,X1,v,w),X1,w1,v)
| ~ spl0_27
| ~ spl0_386 ),
inference(resolution,[],[f5907,f170]) ).
fof(f5907,plain,
( ! [X0,X1] : equidistant(v,w1,extension(X0,X1,v,w),X1)
| ~ spl0_386 ),
inference(avatar_component_clause,[],[f5906]) ).
fof(f13547,plain,
( spl0_640
| ~ spl0_15
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f1456,f1450,f95,f13545]) ).
fof(f13545,plain,
( spl0_640
<=> ! [X2,X0,X1] :
( w1 = continuous(u,w,w1,inner_pasch(X0,w,X1,X2,w),w,w1)
| ~ between(w,X2,X1)
| ~ between(X0,w,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_640])]) ).
fof(f1456,plain,
( ! [X2,X0,X1] :
( w1 = continuous(u,w,w1,inner_pasch(X0,w,X1,X2,w),w,w1)
| ~ between(w,X2,X1)
| ~ between(X0,w,X1) )
| ~ spl0_15
| ~ spl0_140 ),
inference(resolution,[],[f1451,f96]) ).
fof(f13396,plain,
( spl0_639
| ~ spl0_12
| ~ spl0_223 ),
inference(avatar_split_clause,[],[f2903,f2846,f77,f13394]) ).
fof(f13394,plain,
( spl0_639
<=> ! [X2,X4,X0,X3,X1] :
( inner_pasch(X0,inner_pasch(X1,X0,extension(X1,X0,X2,X3),X0,X1),X1,X0,X4) = X0
| ~ between(X4,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_639])]) ).
fof(f2903,plain,
( ! [X2,X3,X0,X1,X4] :
( inner_pasch(X0,inner_pasch(X1,X0,extension(X1,X0,X2,X3),X0,X1),X1,X0,X4) = X0
| ~ between(X4,X0,X1) )
| ~ spl0_12
| ~ spl0_223 ),
inference(resolution,[],[f2847,f78]) ).
fof(f13392,plain,
( spl0_638
| ~ spl0_51
| ~ spl0_214 ),
inference(avatar_split_clause,[],[f2720,f2516,f375,f13390]) ).
fof(f13390,plain,
( spl0_638
<=> ! [X2,X0,X1] :
( X0 = X1
| ~ between(X1,X0,X2)
| ~ equidistant(X0,X1,X1,X0)
| equidistant(extension(X0,X1,X0,X2),X0,X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_638])]) ).
fof(f375,plain,
( spl0_51
<=> ! [X2,X1] : equidistant(X1,X1,X2,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f2720,plain,
( ! [X2,X0,X1] :
( X0 = X1
| ~ between(X1,X0,X2)
| ~ equidistant(X0,X1,X1,X0)
| equidistant(extension(X0,X1,X0,X2),X0,X2,X1) )
| ~ spl0_51
| ~ spl0_214 ),
inference(resolution,[],[f2517,f376]) ).
fof(f376,plain,
( ! [X2,X1] : equidistant(X1,X1,X2,X2)
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f375]) ).
fof(f13388,plain,
( spl0_637
| ~ spl0_16
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f1333,f1311,f99,f13386]) ).
fof(f13386,plain,
( spl0_637
<=> ! [X4,X0,X3,X2,X1] :
( inner_pasch(X0,X1,X1,inner_pasch(X1,X2,X3,X1,X4),X1) = X1
| ~ between(X4,X1,X3)
| ~ between(X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_637])]) ).
fof(f1333,plain,
( ! [X2,X3,X0,X1,X4] :
( inner_pasch(X0,X1,X1,inner_pasch(X1,X2,X3,X1,X4),X1) = X1
| ~ between(X4,X1,X3)
| ~ between(X1,X2,X3) )
| ~ spl0_16
| ~ spl0_131 ),
inference(resolution,[],[f1312,f100]) ).
fof(f13384,plain,
( spl0_636
| ~ spl0_15
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f1332,f1311,f95,f13382]) ).
fof(f13382,plain,
( spl0_636
<=> ! [X4,X0,X3,X2,X1] :
( inner_pasch(X0,X1,X1,inner_pasch(X2,X1,X3,X4,X1),X1) = X1
| ~ between(X1,X4,X3)
| ~ between(X2,X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_636])]) ).
fof(f1332,plain,
( ! [X2,X3,X0,X1,X4] :
( inner_pasch(X0,X1,X1,inner_pasch(X2,X1,X3,X4,X1),X1) = X1
| ~ between(X1,X4,X3)
| ~ between(X2,X1,X3) )
| ~ spl0_15
| ~ spl0_131 ),
inference(resolution,[],[f1312,f96]) ).
fof(f13376,plain,
( spl0_635
| ~ spl0_27
| ~ spl0_379 ),
inference(avatar_split_clause,[],[f7877,f5819,f169,f13374]) ).
fof(f13374,plain,
( spl0_635
<=> ! [X0,X1] : equidistant(extension(X0,X1,u,w),X1,w1,u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_635])]) ).
fof(f5819,plain,
( spl0_379
<=> ! [X0,X1] : equidistant(u,w1,extension(X0,X1,u,w),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_379])]) ).
fof(f7877,plain,
( ! [X0,X1] : equidistant(extension(X0,X1,u,w),X1,w1,u)
| ~ spl0_27
| ~ spl0_379 ),
inference(resolution,[],[f5820,f170]) ).
fof(f5820,plain,
( ! [X0,X1] : equidistant(u,w1,extension(X0,X1,u,w),X1)
| ~ spl0_379 ),
inference(avatar_component_clause,[],[f5819]) ).
fof(f13360,plain,
( spl0_633
| ~ spl0_634
| ~ spl0_12
| ~ spl0_219 ),
inference(avatar_split_clause,[],[f2805,f2789,f77,f13357,f13353]) ).
fof(f13353,plain,
( spl0_633
<=> w1 = continuous(v,w,w1,v,extension(w,v,v,w1),w1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_633])]) ).
fof(f13357,plain,
( spl0_634
<=> between(v,w,extension(w,v,v,w1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_634])]) ).
fof(f2805,plain,
( ~ between(v,w,extension(w,v,v,w1))
| w1 = continuous(v,w,w1,v,extension(w,v,v,w1),w1)
| ~ spl0_12
| ~ spl0_219 ),
inference(resolution,[],[f2790,f78]) ).
fof(f13351,plain,
( spl0_631
| ~ spl0_632
| ~ spl0_12
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f2800,f2785,f77,f13348,f13344]) ).
fof(f13344,plain,
( spl0_631
<=> w1 = continuous(u,w,w1,u,extension(w,u,u,w1),w1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_631])]) ).
fof(f13348,plain,
( spl0_632
<=> between(u,w,extension(w,u,u,w1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_632])]) ).
fof(f2800,plain,
( ~ between(u,w,extension(w,u,u,w1))
| w1 = continuous(u,w,w1,u,extension(w,u,u,w1),w1)
| ~ spl0_12
| ~ spl0_218 ),
inference(resolution,[],[f2786,f78]) ).
fof(f13322,plain,
( ~ spl0_8
| spl0_630
| spl0_153
| ~ spl0_63
| ~ spl0_214 ),
inference(avatar_split_clause,[],[f2755,f2516,f491,f1570,f13320,f60]) ).
fof(f13320,plain,
( spl0_630
<=> ! [X0] :
( ~ between(v,w1,X0)
| equidistant(extension(v,w,w1,X0),w1,X0,w) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_630])]) ).
fof(f1570,plain,
( spl0_153
<=> v = w ),
introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).
fof(f2755,plain,
( ! [X0] :
( v = w
| ~ between(v,w1,X0)
| ~ equidistant(v,w,v,w1)
| equidistant(extension(v,w,w1,X0),w1,X0,w) )
| ~ spl0_63
| ~ spl0_214 ),
inference(resolution,[],[f2517,f493]) ).
fof(f13318,plain,
( spl0_629
| ~ spl0_129
| ~ spl0_367 ),
inference(avatar_split_clause,[],[f7593,f5721,f1265,f13316]) ).
fof(f13316,plain,
( spl0_629
<=> ! [X0,X1] : equidistant(w,v,X0,extension(X1,X0,v,w1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_629])]) ).
fof(f5721,plain,
( spl0_367
<=> ! [X0,X1] : equidistant(X0,extension(X1,X0,v,w1),w,v) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_367])]) ).
fof(f7593,plain,
( ! [X0,X1] : equidistant(w,v,X0,extension(X1,X0,v,w1))
| ~ spl0_129
| ~ spl0_367 ),
inference(resolution,[],[f5722,f1266]) ).
fof(f5722,plain,
( ! [X0,X1] : equidistant(X0,extension(X1,X0,v,w1),w,v)
| ~ spl0_367 ),
inference(avatar_component_clause,[],[f5721]) ).
fof(f13294,plain,
( ~ spl0_7
| spl0_628
| spl0_151
| ~ spl0_57
| ~ spl0_214 ),
inference(avatar_split_clause,[],[f2754,f2516,f449,f1522,f13292,f55]) ).
fof(f13292,plain,
( spl0_628
<=> ! [X0] :
( ~ between(u,w1,X0)
| equidistant(extension(u,w,w1,X0),w1,X0,w) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_628])]) ).
fof(f1522,plain,
( spl0_151
<=> u = w ),
introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).
fof(f2754,plain,
( ! [X0] :
( u = w
| ~ between(u,w1,X0)
| ~ equidistant(u,w,u,w1)
| equidistant(extension(u,w,w1,X0),w1,X0,w) )
| ~ spl0_57
| ~ spl0_214 ),
inference(resolution,[],[f2517,f451]) ).
fof(f13266,plain,
( ~ spl0_63
| spl0_627
| spl0_161
| ~ spl0_8
| ~ spl0_214 ),
inference(avatar_split_clause,[],[f2749,f2516,f60,f1736,f13264,f491]) ).
fof(f13264,plain,
( spl0_627
<=> ! [X0] :
( ~ between(v,w,X0)
| equidistant(extension(v,w1,w,X0),w,X0,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_627])]) ).
fof(f1736,plain,
( spl0_161
<=> v = w1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).
fof(f2749,plain,
( ! [X0] :
( v = w1
| ~ between(v,w,X0)
| ~ equidistant(v,w1,v,w)
| equidistant(extension(v,w1,w,X0),w,X0,w1) )
| ~ spl0_8
| ~ spl0_214 ),
inference(resolution,[],[f2517,f62]) ).
fof(f13238,plain,
( ~ spl0_57
| spl0_626
| spl0_156
| ~ spl0_7
| ~ spl0_214 ),
inference(avatar_split_clause,[],[f2748,f2516,f55,f1680,f13236,f449]) ).
fof(f13236,plain,
( spl0_626
<=> ! [X0] :
( ~ between(u,w,X0)
| equidistant(extension(u,w1,w,X0),w,X0,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_626])]) ).
fof(f1680,plain,
( spl0_156
<=> u = w1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).
fof(f2748,plain,
( ! [X0] :
( u = w1
| ~ between(u,w,X0)
| ~ equidistant(u,w1,u,w)
| equidistant(extension(u,w1,w,X0),w,X0,w1) )
| ~ spl0_7
| ~ spl0_214 ),
inference(resolution,[],[f2517,f57]) ).
fof(f13234,plain,
( spl0_625
| ~ spl0_52
| ~ spl0_212 ),
inference(avatar_split_clause,[],[f2695,f2431,f379,f13232]) ).
fof(f13232,plain,
( spl0_625
<=> ! [X0,X1] :
( ~ equidistant(X0,u,X0,w1)
| v = X0
| ~ between(X0,v,X1)
| equidistant(extension(X0,v,v,X1),u,X1,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_625])]) ).
fof(f2695,plain,
( ! [X0,X1] :
( ~ equidistant(X0,u,X0,w1)
| v = X0
| ~ between(X0,v,X1)
| equidistant(extension(X0,v,v,X1),u,X1,w1) )
| ~ spl0_52
| ~ spl0_212 ),
inference(resolution,[],[f2432,f380]) ).
fof(f13206,plain,
( ~ spl0_149
| spl0_624
| spl0_161
| ~ spl0_9
| ~ spl0_206 ),
inference(avatar_split_clause,[],[f2681,f2377,f65,f1736,f13204,f1513]) ).
fof(f1513,plain,
( spl0_149
<=> equidistant(w1,v,w,v) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).
fof(f13204,plain,
( spl0_624
<=> ! [X0] :
( ~ between(w,v,X0)
| equidistant(extension(w1,v,v,X0),w,X0,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_624])]) ).
fof(f2681,plain,
( ! [X0] :
( v = w1
| ~ between(w,v,X0)
| ~ equidistant(w1,v,w,v)
| equidistant(extension(w1,v,v,X0),w,X0,w1) )
| ~ spl0_9
| ~ spl0_206 ),
inference(resolution,[],[f2378,f66]) ).
fof(f13178,plain,
( spl0_623
| ~ spl0_27
| ~ spl0_367 ),
inference(avatar_split_clause,[],[f7589,f5721,f169,f13176]) ).
fof(f13176,plain,
( spl0_623
<=> ! [X0,X1] : equidistant(w,v,extension(X0,X1,v,w1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_623])]) ).
fof(f7589,plain,
( ! [X0,X1] : equidistant(w,v,extension(X0,X1,v,w1),X1)
| ~ spl0_27
| ~ spl0_367 ),
inference(resolution,[],[f5722,f170]) ).
fof(f13174,plain,
( ~ spl0_75
| spl0_622
| spl0_153
| ~ spl0_51
| ~ spl0_206 ),
inference(avatar_split_clause,[],[f2680,f2377,f375,f1570,f13172,f625]) ).
fof(f13172,plain,
( spl0_622
<=> ! [X0] :
( ~ between(w1,v,X0)
| equidistant(extension(w,v,v,X0),w,X0,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_622])]) ).
fof(f2680,plain,
( ! [X0] :
( v = w
| ~ between(w1,v,X0)
| ~ equidistant(w,v,w1,v)
| equidistant(extension(w,v,v,X0),w,X0,w1) )
| ~ spl0_51
| ~ spl0_206 ),
inference(resolution,[],[f2378,f376]) ).
fof(f13146,plain,
( ~ spl0_577
| spl0_621
| spl0_2
| ~ spl0_7
| ~ spl0_206 ),
inference(avatar_split_clause,[],[f2678,f2377,f55,f30,f13144,f11674]) ).
fof(f11674,plain,
( spl0_577
<=> equidistant(u,v,u,v) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_577])]) ).
fof(f13144,plain,
( spl0_621
<=> ! [X0] :
( ~ between(u,v,X0)
| equidistant(extension(u,v,v,X0),w,X0,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_621])]) ).
fof(f30,plain,
( spl0_2
<=> u = v ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f2678,plain,
( ! [X0] :
( u = v
| ~ between(u,v,X0)
| ~ equidistant(u,v,u,v)
| equidistant(extension(u,v,v,X0),w,X0,w1) )
| ~ spl0_7
| ~ spl0_206 ),
inference(resolution,[],[f2378,f57]) ).
fof(f13118,plain,
( ~ spl0_242
| spl0_620
| spl0_156
| ~ spl0_9
| ~ spl0_205 ),
inference(avatar_split_clause,[],[f2670,f2371,f65,f1680,f13116,f3361]) ).
fof(f3361,plain,
( spl0_242
<=> equidistant(w1,u,w,u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_242])]) ).
fof(f13116,plain,
( spl0_620
<=> ! [X0] :
( ~ between(w,u,X0)
| equidistant(extension(w1,u,u,X0),w,X0,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_620])]) ).
fof(f2670,plain,
( ! [X0] :
( u = w1
| ~ between(w,u,X0)
| ~ equidistant(w1,u,w,u)
| equidistant(extension(w1,u,u,X0),w,X0,w1) )
| ~ spl0_9
| ~ spl0_205 ),
inference(resolution,[],[f2372,f66]) ).
fof(f13090,plain,
( ~ spl0_69
| spl0_619
| spl0_151
| ~ spl0_51
| ~ spl0_205 ),
inference(avatar_split_clause,[],[f2669,f2371,f375,f1522,f13088,f543]) ).
fof(f13088,plain,
( spl0_619
<=> ! [X0] :
( ~ between(w1,u,X0)
| equidistant(extension(w,u,u,X0),w,X0,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_619])]) ).
fof(f2669,plain,
( ! [X0] :
( u = w
| ~ between(w1,u,X0)
| ~ equidistant(w,u,w1,u)
| equidistant(extension(w,u,u,X0),w,X0,w1) )
| ~ spl0_51
| ~ spl0_205 ),
inference(resolution,[],[f2372,f376]) ).
fof(f13062,plain,
( ~ spl0_575
| spl0_618
| spl0_2
| ~ spl0_8
| ~ spl0_205 ),
inference(avatar_split_clause,[],[f2668,f2371,f60,f30,f13060,f11598]) ).
fof(f11598,plain,
( spl0_575
<=> equidistant(v,u,v,u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_575])]) ).
fof(f13060,plain,
( spl0_618
<=> ! [X0] :
( ~ between(v,u,X0)
| equidistant(extension(v,u,u,X0),w,X0,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_618])]) ).
fof(f2668,plain,
( ! [X0] :
( u = v
| ~ between(v,u,X0)
| ~ equidistant(v,u,v,u)
| equidistant(extension(v,u,u,X0),w,X0,w1) )
| ~ spl0_8
| ~ spl0_205 ),
inference(resolution,[],[f2372,f62]) ).
fof(f12985,plain,
( spl0_617
| ~ spl0_129
| ~ spl0_355 ),
inference(avatar_split_clause,[],[f7363,f5619,f1265,f12983]) ).
fof(f12983,plain,
( spl0_617
<=> ! [X0,X1] : equidistant(w,u,X0,extension(X1,X0,u,w1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_617])]) ).
fof(f5619,plain,
( spl0_355
<=> ! [X0,X1] : equidistant(X0,extension(X1,X0,u,w1),w,u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_355])]) ).
fof(f7363,plain,
( ! [X0,X1] : equidistant(w,u,X0,extension(X1,X0,u,w1))
| ~ spl0_129
| ~ spl0_355 ),
inference(resolution,[],[f5620,f1266]) ).
fof(f5620,plain,
( ! [X0,X1] : equidistant(X0,extension(X1,X0,u,w1),w,u)
| ~ spl0_355 ),
inference(avatar_component_clause,[],[f5619]) ).
fof(f12981,plain,
( ~ spl0_75
| spl0_616
| spl0_153
| ~ spl0_51
| ~ spl0_189 ),
inference(avatar_split_clause,[],[f2642,f2220,f375,f1570,f12979,f625]) ).
fof(f12979,plain,
( spl0_616
<=> ! [X0] :
( ~ between(w,v,X0)
| equidistant(X0,w,X0,w1)
| ~ between(w1,v,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_616])]) ).
fof(f2642,plain,
( ! [X0] :
( v = w
| ~ between(w,v,X0)
| ~ between(w1,v,X0)
| ~ equidistant(w,v,w1,v)
| equidistant(X0,w,X0,w1) )
| ~ spl0_51
| ~ spl0_189 ),
inference(resolution,[],[f2221,f376]) ).
fof(f12904,plain,
( ~ spl0_69
| spl0_615
| spl0_151
| ~ spl0_51
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f2629,f2207,f375,f1522,f12902,f543]) ).
fof(f12902,plain,
( spl0_615
<=> ! [X0] :
( ~ between(w,u,X0)
| equidistant(X0,w,X0,w1)
| ~ between(w1,u,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_615])]) ).
fof(f2629,plain,
( ! [X0] :
( u = w
| ~ between(w,u,X0)
| ~ between(w1,u,X0)
| ~ equidistant(w,u,w1,u)
| equidistant(X0,w,X0,w1) )
| ~ spl0_51
| ~ spl0_188 ),
inference(resolution,[],[f2208,f376]) ).
fof(f12900,plain,
( spl0_614
| ~ spl0_68
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f2525,f2330,f527,f12898]) ).
fof(f12898,plain,
( spl0_614
<=> ! [X2,X0,X1] :
( u = inner_pasch(u,inner_pasch(X0,X1,w,u,u),X0,u,X2)
| ~ between(X2,u,X0)
| ~ between(X0,X1,w) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_614])]) ).
fof(f527,plain,
( spl0_68
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ between(X0,X1,X2)
| inner_pasch(X1,inner_pasch(X2,X3,X4,X1,X5),X2,X1,X0) = X1
| ~ between(X5,X1,X4)
| ~ between(X2,X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f2525,plain,
( ! [X2,X0,X1] :
( u = inner_pasch(u,inner_pasch(X0,X1,w,u,u),X0,u,X2)
| ~ between(X2,u,X0)
| ~ between(X0,X1,w) )
| ~ spl0_68
| ~ spl0_198 ),
inference(resolution,[],[f2331,f528]) ).
fof(f528,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(X5,X1,X4)
| inner_pasch(X1,inner_pasch(X2,X3,X4,X1,X5),X2,X1,X0) = X1
| ~ between(X0,X1,X2)
| ~ between(X2,X3,X4) )
| ~ spl0_68 ),
inference(avatar_component_clause,[],[f527]) ).
fof(f12896,plain,
( spl0_613
| ~ spl0_67
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f2524,f2330,f523,f12894]) ).
fof(f12894,plain,
( spl0_613
<=> ! [X2,X0,X1] :
( u = inner_pasch(u,inner_pasch(u,u,w,X0,X1),X1,u,X2)
| ~ between(X1,X0,w)
| ~ between(X2,u,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_613])]) ).
fof(f523,plain,
( spl0_67
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ between(X0,X1,X2)
| inner_pasch(X1,inner_pasch(X3,X1,X4,X5,X2),X2,X1,X0) = X1
| ~ between(X2,X5,X4)
| ~ between(X3,X1,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f2524,plain,
( ! [X2,X0,X1] :
( u = inner_pasch(u,inner_pasch(u,u,w,X0,X1),X1,u,X2)
| ~ between(X1,X0,w)
| ~ between(X2,u,X1) )
| ~ spl0_67
| ~ spl0_198 ),
inference(resolution,[],[f2331,f524]) ).
fof(f524,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(X3,X1,X4)
| inner_pasch(X1,inner_pasch(X3,X1,X4,X5,X2),X2,X1,X0) = X1
| ~ between(X2,X5,X4)
| ~ between(X0,X1,X2) )
| ~ spl0_67 ),
inference(avatar_component_clause,[],[f523]) ).
fof(f12892,plain,
( spl0_153
| spl0_611
| ~ spl0_612
| ~ spl0_75
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f2442,f2387,f625,f12889,f12886,f1570]) ).
fof(f12886,plain,
( spl0_611
<=> ! [X0] :
( ~ between(w,v,X0)
| equidistant(X0,u,X0,w1)
| ~ between(w1,v,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_611])]) ).
fof(f12889,plain,
( spl0_612
<=> equidistant(w,u,w1,w1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_612])]) ).
fof(f2442,plain,
( ! [X0] :
( ~ equidistant(w,u,w1,w1)
| ~ between(w,v,X0)
| v = w
| ~ between(w1,v,X0)
| equidistant(X0,u,X0,w1) )
| ~ spl0_75
| ~ spl0_208 ),
inference(resolution,[],[f2388,f627]) ).
fof(f12852,plain,
( spl0_153
| spl0_610
| ~ spl0_70
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f915,f625,f560,f12850,f1570]) ).
fof(f12850,plain,
( spl0_610
<=> ! [X0,X1] :
( ~ between(w,v,X0)
| equidistant(X0,v,X1,v)
| ~ equidistant(v,X0,v,X1)
| ~ between(w1,v,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_610])]) ).
fof(f915,plain,
( ! [X0,X1] :
( ~ between(w,v,X0)
| v = w
| ~ between(w1,v,X1)
| ~ equidistant(v,X0,v,X1)
| equidistant(X0,v,X1,v) )
| ~ spl0_70
| ~ spl0_75 ),
inference(resolution,[],[f627,f561]) ).
fof(f12816,plain,
( spl0_609
| ~ spl0_27
| ~ spl0_355 ),
inference(avatar_split_clause,[],[f7359,f5619,f169,f12814]) ).
fof(f12814,plain,
( spl0_609
<=> ! [X0,X1] : equidistant(w,u,extension(X0,X1,u,w1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_609])]) ).
fof(f7359,plain,
( ! [X0,X1] : equidistant(w,u,extension(X0,X1,u,w1),X1)
| ~ spl0_27
| ~ spl0_355 ),
inference(resolution,[],[f5620,f170]) ).
fof(f12812,plain,
( spl0_151
| spl0_608
| ~ spl0_69
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f841,f560,f543,f12810,f1522]) ).
fof(f12810,plain,
( spl0_608
<=> ! [X0,X1] :
( ~ between(w,u,X0)
| equidistant(X0,u,X1,u)
| ~ equidistant(u,X0,u,X1)
| ~ between(w1,u,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_608])]) ).
fof(f841,plain,
( ! [X0,X1] :
( ~ between(w,u,X0)
| u = w
| ~ between(w1,u,X1)
| ~ equidistant(u,X0,u,X1)
| equidistant(X0,u,X1,u) )
| ~ spl0_69
| ~ spl0_70 ),
inference(resolution,[],[f545,f561]) ).
fof(f12785,plain,
( spl0_161
| spl0_607
| ~ spl0_63
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f750,f560,f491,f12783,f1736]) ).
fof(f12783,plain,
( spl0_607
<=> ! [X0,X1] :
( ~ between(v,w1,X0)
| equidistant(X0,w1,X1,w)
| ~ equidistant(w1,X0,w,X1)
| ~ between(v,w,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_607])]) ).
fof(f750,plain,
( ! [X0,X1] :
( ~ between(v,w1,X0)
| v = w1
| ~ between(v,w,X1)
| ~ equidistant(w1,X0,w,X1)
| equidistant(X0,w1,X1,w) )
| ~ spl0_63
| ~ spl0_70 ),
inference(resolution,[],[f493,f561]) ).
fof(f12758,plain,
( spl0_156
| spl0_606
| ~ spl0_57
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f693,f560,f449,f12756,f1680]) ).
fof(f12756,plain,
( spl0_606
<=> ! [X0,X1] :
( ~ between(u,w1,X0)
| equidistant(X0,w1,X1,w)
| ~ equidistant(w1,X0,w,X1)
| ~ between(u,w,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_606])]) ).
fof(f693,plain,
( ! [X0,X1] :
( ~ between(u,w1,X0)
| u = w1
| ~ between(u,w,X1)
| ~ equidistant(w1,X0,w,X1)
| equidistant(X0,w1,X1,w) )
| ~ spl0_57
| ~ spl0_70 ),
inference(resolution,[],[f451,f561]) ).
fof(f12727,plain,
( spl0_605
| ~ spl0_29
| ~ spl0_170 ),
inference(avatar_split_clause,[],[f2043,f2036,f186,f12725]) ).
fof(f12725,plain,
( spl0_605
<=> ! [X2,X0,X1] :
( ~ between(X0,X1,X2)
| inner_pasch(X0,X0,euclid1(X0,X0,X1,X2,X1),X0,X0) = X0
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_605])]) ).
fof(f2043,plain,
( ! [X2,X0,X1] :
( ~ between(X0,X1,X2)
| inner_pasch(X0,X0,euclid1(X0,X0,X1,X2,X1),X0,X0) = X0
| X0 = X1 )
| ~ spl0_29
| ~ spl0_170 ),
inference(resolution,[],[f2037,f187]) ).
fof(f12719,plain,
( spl0_151
| spl0_604
| ~ spl0_171
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f2530,f2330,f2040,f12717,f1522]) ).
fof(f12717,plain,
( spl0_604
<=> ! [X0] :
( w = inner_pasch(w,w,euclid2(w,u,u,w,X0),w,w)
| ~ between(w,u,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_604])]) ).
fof(f2040,plain,
( spl0_171
<=> ! [X0,X3,X2,X1] :
( inner_pasch(X0,X0,euclid2(X0,X1,X2,X0,X3),X0,X0) = X0
| ~ between(X1,X2,X0)
| ~ between(X0,X2,X3)
| X0 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).
fof(f2530,plain,
( ! [X0] :
( w = inner_pasch(w,w,euclid2(w,u,u,w,X0),w,w)
| ~ between(w,u,X0)
| u = w )
| ~ spl0_171
| ~ spl0_198 ),
inference(resolution,[],[f2331,f2041]) ).
fof(f2041,plain,
( ! [X2,X3,X0,X1] :
( ~ between(X1,X2,X0)
| inner_pasch(X0,X0,euclid2(X0,X1,X2,X0,X3),X0,X0) = X0
| ~ between(X0,X2,X3)
| X0 = X2 )
| ~ spl0_171 ),
inference(avatar_component_clause,[],[f2040]) ).
fof(f12710,plain,
( spl0_603
| ~ spl0_129
| ~ spl0_344 ),
inference(avatar_split_clause,[],[f7043,f5209,f1265,f12708]) ).
fof(f12708,plain,
( spl0_603
<=> ! [X0,X1] : equidistant(v,w1,X0,extension(X1,X0,w,v)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_603])]) ).
fof(f5209,plain,
( spl0_344
<=> ! [X0,X1] : equidistant(X0,extension(X1,X0,w,v),v,w1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_344])]) ).
fof(f7043,plain,
( ! [X0,X1] : equidistant(v,w1,X0,extension(X1,X0,w,v))
| ~ spl0_129
| ~ spl0_344 ),
inference(resolution,[],[f5210,f1266]) ).
fof(f5210,plain,
( ! [X0,X1] : equidistant(X0,extension(X1,X0,w,v),v,w1)
| ~ spl0_344 ),
inference(avatar_component_clause,[],[f5209]) ).
fof(f12706,plain,
( spl0_153
| spl0_602
| ~ spl0_3
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f2077,f2040,f35,f12704,f1570]) ).
fof(f12704,plain,
( spl0_602
<=> ! [X0] :
( w = inner_pasch(w,w,euclid2(w,u,v,w,X0),w,w)
| ~ between(w,v,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_602])]) ).
fof(f2077,plain,
( ! [X0] :
( w = inner_pasch(w,w,euclid2(w,u,v,w,X0),w,w)
| ~ between(w,v,X0)
| v = w )
| ~ spl0_3
| ~ spl0_171 ),
inference(resolution,[],[f2041,f37]) ).
fof(f12697,plain,
( spl0_2
| spl0_601
| ~ spl0_3
| ~ spl0_170 ),
inference(avatar_split_clause,[],[f2053,f2036,f35,f12695,f30]) ).
fof(f12695,plain,
( spl0_601
<=> ! [X0] :
( ~ between(u,v,X0)
| u = inner_pasch(u,u,euclid1(u,u,v,X0,w),u,u) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_601])]) ).
fof(f2053,plain,
( ! [X0] :
( ~ between(u,v,X0)
| u = inner_pasch(u,u,euclid1(u,u,v,X0,w),u,u)
| u = v )
| ~ spl0_3
| ~ spl0_170 ),
inference(resolution,[],[f2037,f37]) ).
fof(f12601,plain,
( spl0_600
| ~ spl0_14
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f1384,f1368,f87,f12599]) ).
fof(f12599,plain,
( spl0_600
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(X2,X3,X4,X5)
| equidistant(X4,X5,extension(X6,X7,X0,X1),X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_600])]) ).
fof(f87,plain,
( spl0_14
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(X0,X1,X4,X5)
| equidistant(X2,X3,X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f1384,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(X2,X3,X4,X5)
| equidistant(X4,X5,extension(X6,X7,X0,X1),X7) )
| ~ spl0_14
| ~ spl0_134 ),
inference(resolution,[],[f1369,f88]) ).
fof(f88,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X4,X5)
| ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,X4,X5) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f12334,plain,
( spl0_599
| ~ spl0_27
| ~ spl0_344 ),
inference(avatar_split_clause,[],[f7039,f5209,f169,f12332]) ).
fof(f12332,plain,
( spl0_599
<=> ! [X0,X1] : equidistant(v,w1,extension(X0,X1,w,v),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_599])]) ).
fof(f7039,plain,
( ! [X0,X1] : equidistant(v,w1,extension(X0,X1,w,v),X1)
| ~ spl0_27
| ~ spl0_344 ),
inference(resolution,[],[f5210,f170]) ).
fof(f12330,plain,
( spl0_598
| ~ spl0_19
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f2760,f2703,f113,f12328]) ).
fof(f12328,plain,
( spl0_598
<=> ! [X2,X1] :
( ~ between(X1,X1,X2)
| ~ equidistant(X1,X2,X1,X1)
| continuous(X1,X1,X1,X2,X2,X1) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_598])]) ).
fof(f2703,plain,
( spl0_216
<=> ! [X0,X3,X2,X1] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X0,extension(X3,X0,X0,X2),X1)
| continuous(X0,extension(X3,X0,X0,X2),X2,X1,X1,X2) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_216])]) ).
fof(f2760,plain,
( ! [X2,X1] :
( ~ between(X1,X1,X2)
| ~ equidistant(X1,X2,X1,X1)
| continuous(X1,X1,X1,X2,X2,X1) = X1 )
| ~ spl0_19
| ~ spl0_216 ),
inference(superposition,[],[f2704,f114]) ).
fof(f2704,plain,
( ! [X2,X3,X0,X1] :
( ~ between(X0,extension(X3,X0,X0,X2),X1)
| ~ equidistant(X0,X1,X0,X2)
| continuous(X0,extension(X3,X0,X0,X2),X2,X1,X1,X2) = X2 )
| ~ spl0_216 ),
inference(avatar_component_clause,[],[f2703]) ).
fof(f12326,plain,
( spl0_597
| ~ spl0_52
| ~ spl0_169 ),
inference(avatar_split_clause,[],[f2000,f1995,f379,f12324]) ).
fof(f12324,plain,
( spl0_597
<=> ! [X0,X3,X2,X1] :
( ~ between(X0,X1,X2)
| ~ between(X1,X3,X2)
| between(X1,continuous(X0,X1,X1,X3,X2,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_597])]) ).
fof(f2000,plain,
( ! [X2,X3,X0,X1] :
( ~ between(X0,X1,X2)
| ~ between(X1,X3,X2)
| between(X1,continuous(X0,X1,X1,X3,X2,X2),X2) )
| ~ spl0_52
| ~ spl0_169 ),
inference(resolution,[],[f1996,f380]) ).
fof(f12322,plain,
( spl0_596
| ~ spl0_134
| ~ spl0_135 ),
inference(avatar_split_clause,[],[f1426,f1379,f1368,f12320]) ).
fof(f12320,plain,
( spl0_596
<=> ! [X2,X3,X4,X0,X6,X5,X1,X7] :
( equidistant(extension(X0,X1,X2,X3),X1,X4,X5)
| ~ equidistant(X2,X3,extension(X6,X7,X4,X5),X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_596])]) ).
fof(f1379,plain,
( spl0_135
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ equidistant(extension(X0,X1,X2,X3),X1,X4,X5)
| equidistant(X4,X5,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
fof(f1426,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( equidistant(extension(X0,X1,X2,X3),X1,X4,X5)
| ~ equidistant(X2,X3,extension(X6,X7,X4,X5),X7) )
| ~ spl0_134
| ~ spl0_135 ),
inference(resolution,[],[f1380,f1369]) ).
fof(f1380,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(extension(X0,X1,X2,X3),X1,X4,X5)
| equidistant(X4,X5,X2,X3) )
| ~ spl0_135 ),
inference(avatar_component_clause,[],[f1379]) ).
fof(f12318,plain,
( spl0_595
| ~ spl0_28
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f1399,f1368,f178,f12316]) ).
fof(f12316,plain,
( spl0_595
<=> ! [X3,X4,X0,X7,X6,X5,X2,X1] :
( ~ equidistant(X0,X1,X2,extension(X3,X2,X4,X5))
| equidistant(extension(X6,X7,X0,X1),X7,X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_595])]) ).
fof(f178,plain,
( spl0_28
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ equidistant(X0,extension(X1,X0,X2,X3),X4,X5)
| equidistant(X4,X5,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f1399,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X2,extension(X3,X2,X4,X5))
| equidistant(extension(X6,X7,X0,X1),X7,X4,X5) )
| ~ spl0_28
| ~ spl0_134 ),
inference(resolution,[],[f1369,f179]) ).
fof(f179,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,extension(X1,X0,X2,X3),X4,X5)
| equidistant(X4,X5,X2,X3) )
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f12314,plain,
( spl0_594
| ~ spl0_14
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f1353,f1349,f87,f12312]) ).
fof(f12312,plain,
( spl0_594
<=> ! [X5,X3,X4,X2,X7,X0,X6,X1] :
( ~ equidistant(extension(X0,X1,X2,extension(X3,X2,X4,X5)),X1,X6,X7)
| equidistant(X6,X7,X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_594])]) ).
fof(f1349,plain,
( spl0_133
<=> ! [X2,X3,X4,X0,X5,X1] : equidistant(extension(X0,X1,X2,extension(X3,X2,X4,X5)),X1,X4,X5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).
fof(f1353,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(extension(X0,X1,X2,extension(X3,X2,X4,X5)),X1,X6,X7)
| equidistant(X6,X7,X4,X5) )
| ~ spl0_14
| ~ spl0_133 ),
inference(resolution,[],[f1350,f88]) ).
fof(f1350,plain,
( ! [X2,X3,X0,X1,X4,X5] : equidistant(extension(X0,X1,X2,extension(X3,X2,X4,X5)),X1,X4,X5)
| ~ spl0_133 ),
inference(avatar_component_clause,[],[f1349]) ).
fof(f12002,plain,
( spl0_593
| ~ spl0_29
| ~ spl0_199 ),
inference(avatar_split_clause,[],[f2623,f2334,f186,f12000]) ).
fof(f12000,plain,
( spl0_593
<=> ! [X0] :
( u = inner_pasch(u,continuous(u,u,u,w,w,w1),w1,u,X0)
| ~ between(X0,u,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_593])]) ).
fof(f2334,plain,
( spl0_199
<=> ! [X0,X1] :
( ~ between(u,X0,w)
| u = inner_pasch(u,continuous(u,u,u,X0,w,w1),w1,u,X1)
| ~ between(X1,u,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_199])]) ).
fof(f2623,plain,
( ! [X0] :
( u = inner_pasch(u,continuous(u,u,u,w,w,w1),w1,u,X0)
| ~ between(X0,u,w1) )
| ~ spl0_29
| ~ spl0_199 ),
inference(resolution,[],[f2335,f187]) ).
fof(f2335,plain,
( ! [X0,X1] :
( ~ between(u,X0,w)
| u = inner_pasch(u,continuous(u,u,u,X0,w,w1),w1,u,X1)
| ~ between(X1,u,w1) )
| ~ spl0_199 ),
inference(avatar_component_clause,[],[f2334]) ).
fof(f11998,plain,
( spl0_592
| ~ spl0_198
| ~ spl0_199 ),
inference(avatar_split_clause,[],[f2622,f2334,f2330,f11996]) ).
fof(f11996,plain,
( spl0_592
<=> ! [X0] :
( u = inner_pasch(u,continuous(u,u,u,u,w,w1),w1,u,X0)
| ~ between(X0,u,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_592])]) ).
fof(f2622,plain,
( ! [X0] :
( u = inner_pasch(u,continuous(u,u,u,u,w,w1),w1,u,X0)
| ~ between(X0,u,w1) )
| ~ spl0_198
| ~ spl0_199 ),
inference(resolution,[],[f2335,f2331]) ).
fof(f11994,plain,
( spl0_591
| ~ spl0_3
| ~ spl0_199 ),
inference(avatar_split_clause,[],[f2621,f2334,f35,f11992]) ).
fof(f11992,plain,
( spl0_591
<=> ! [X0] :
( u = inner_pasch(u,continuous(u,u,u,v,w,w1),w1,u,X0)
| ~ between(X0,u,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_591])]) ).
fof(f2621,plain,
( ! [X0] :
( u = inner_pasch(u,continuous(u,u,u,v,w,w1),w1,u,X0)
| ~ between(X0,u,w1) )
| ~ spl0_3
| ~ spl0_199 ),
inference(resolution,[],[f2335,f37]) ).
fof(f11990,plain,
( spl0_590
| ~ spl0_29
| ~ spl0_201 ),
inference(avatar_split_clause,[],[f2352,f2349,f186,f11988]) ).
fof(f11988,plain,
( spl0_590
<=> ! [X0] :
( u = inner_pasch(u,continuous(u,u,u,u,u,w1),w1,u,X0)
| ~ between(X0,u,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_590])]) ).
fof(f2349,plain,
( spl0_201
<=> ! [X0,X1] :
( u = inner_pasch(u,continuous(u,u,u,X0,u,w1),w1,u,X1)
| ~ between(u,X0,u)
| ~ between(X1,u,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_201])]) ).
fof(f2352,plain,
( ! [X0] :
( u = inner_pasch(u,continuous(u,u,u,u,u,w1),w1,u,X0)
| ~ between(X0,u,w1) )
| ~ spl0_29
| ~ spl0_201 ),
inference(resolution,[],[f2350,f187]) ).
fof(f2350,plain,
( ! [X0,X1] :
( ~ between(u,X0,u)
| u = inner_pasch(u,continuous(u,u,u,X0,u,w1),w1,u,X1)
| ~ between(X1,u,w1) )
| ~ spl0_201 ),
inference(avatar_component_clause,[],[f2349]) ).
fof(f11986,plain,
( spl0_589
| ~ spl0_29
| ~ spl0_197 ),
inference(avatar_split_clause,[],[f2325,f2322,f186,f11984]) ).
fof(f11984,plain,
( spl0_589
<=> ! [X0] :
( w1 = inner_pasch(w1,continuous(v,u,w1,u,u,w1),w1,w1,X0)
| ~ between(X0,w1,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_589])]) ).
fof(f2322,plain,
( spl0_197
<=> ! [X0,X1] :
( w1 = inner_pasch(w1,continuous(v,u,w1,X0,u,w1),w1,w1,X1)
| ~ between(u,X0,u)
| ~ between(X1,w1,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_197])]) ).
fof(f2325,plain,
( ! [X0] :
( w1 = inner_pasch(w1,continuous(v,u,w1,u,u,w1),w1,w1,X0)
| ~ between(X0,w1,w1) )
| ~ spl0_29
| ~ spl0_197 ),
inference(resolution,[],[f2323,f187]) ).
fof(f2323,plain,
( ! [X0,X1] :
( ~ between(u,X0,u)
| w1 = inner_pasch(w1,continuous(v,u,w1,X0,u,w1),w1,w1,X1)
| ~ between(X1,w1,w1) )
| ~ spl0_197 ),
inference(avatar_component_clause,[],[f2322]) ).
fof(f11954,plain,
( spl0_588
| ~ spl0_29
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f2304,f2301,f186,f11952]) ).
fof(f11952,plain,
( spl0_588
<=> ! [X0] :
( w1 = inner_pasch(w1,continuous(u,u,w1,u,u,w1),w1,w1,X0)
| ~ between(X0,w1,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_588])]) ).
fof(f2301,plain,
( spl0_194
<=> ! [X0,X1] :
( w1 = inner_pasch(w1,continuous(u,u,w1,X0,u,w1),w1,w1,X1)
| ~ between(u,X0,u)
| ~ between(X1,w1,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_194])]) ).
fof(f2304,plain,
( ! [X0] :
( w1 = inner_pasch(w1,continuous(u,u,w1,u,u,w1),w1,w1,X0)
| ~ between(X0,w1,w1) )
| ~ spl0_29
| ~ spl0_194 ),
inference(resolution,[],[f2302,f187]) ).
fof(f2302,plain,
( ! [X0,X1] :
( ~ between(u,X0,u)
| w1 = inner_pasch(w1,continuous(u,u,w1,X0,u,w1),w1,w1,X1)
| ~ between(X1,w1,w1) )
| ~ spl0_194 ),
inference(avatar_component_clause,[],[f2301]) ).
fof(f11949,plain,
( spl0_587
| ~ spl0_29
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f2251,f2246,f186,f11947]) ).
fof(f11947,plain,
( spl0_587
<=> ! [X0] :
( w1 = inner_pasch(w1,continuous(w1,w1,w1,w1,w1,w1),w1,w1,X0)
| ~ between(X0,w1,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_587])]) ).
fof(f2246,plain,
( spl0_192
<=> ! [X0,X1] :
( w1 = inner_pasch(w1,continuous(w1,w1,w1,X0,w1,w1),w1,w1,X1)
| ~ between(w1,X0,w1)
| ~ between(X1,w1,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_192])]) ).
fof(f2251,plain,
( ! [X0] :
( w1 = inner_pasch(w1,continuous(w1,w1,w1,w1,w1,w1),w1,w1,X0)
| ~ between(X0,w1,w1) )
| ~ spl0_29
| ~ spl0_192 ),
inference(resolution,[],[f2247,f187]) ).
fof(f2247,plain,
( ! [X0,X1] :
( ~ between(w1,X0,w1)
| w1 = inner_pasch(w1,continuous(w1,w1,w1,X0,w1,w1),w1,w1,X1)
| ~ between(X1,w1,w1) )
| ~ spl0_192 ),
inference(avatar_component_clause,[],[f2246]) ).
fof(f11945,plain,
( spl0_586
| ~ spl0_63
| ~ spl0_169 ),
inference(avatar_split_clause,[],[f2016,f1995,f491,f11943]) ).
fof(f11943,plain,
( spl0_586
<=> ! [X0,X1] :
( ~ between(v,X0,w1)
| ~ between(X0,X1,w1)
| between(X0,continuous(v,X0,X0,X1,w1,w),w) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_586])]) ).
fof(f2016,plain,
( ! [X0,X1] :
( ~ between(v,X0,w1)
| ~ between(X0,X1,w1)
| between(X0,continuous(v,X0,X0,X1,w1,w),w) )
| ~ spl0_63
| ~ spl0_169 ),
inference(resolution,[],[f1996,f493]) ).
fof(f11941,plain,
( spl0_585
| ~ spl0_57
| ~ spl0_169 ),
inference(avatar_split_clause,[],[f2015,f1995,f449,f11939]) ).
fof(f11939,plain,
( spl0_585
<=> ! [X0,X1] :
( ~ between(u,X0,w1)
| ~ between(X0,X1,w1)
| between(X0,continuous(u,X0,X0,X1,w1,w),w) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_585])]) ).
fof(f2015,plain,
( ! [X0,X1] :
( ~ between(u,X0,w1)
| ~ between(X0,X1,w1)
| between(X0,continuous(u,X0,X0,X1,w1,w),w) )
| ~ spl0_57
| ~ spl0_169 ),
inference(resolution,[],[f1996,f451]) ).
fof(f11937,plain,
( spl0_584
| ~ spl0_8
| ~ spl0_169 ),
inference(avatar_split_clause,[],[f2014,f1995,f60,f11935]) ).
fof(f11935,plain,
( spl0_584
<=> ! [X0,X1] :
( ~ between(v,X0,w)
| ~ between(X0,X1,w)
| between(X0,continuous(v,X0,X0,X1,w,w1),w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_584])]) ).
fof(f2014,plain,
( ! [X0,X1] :
( ~ between(v,X0,w)
| ~ between(X0,X1,w)
| between(X0,continuous(v,X0,X0,X1,w,w1),w1) )
| ~ spl0_8
| ~ spl0_169 ),
inference(resolution,[],[f1996,f62]) ).
fof(f11933,plain,
( spl0_583
| ~ spl0_7
| ~ spl0_169 ),
inference(avatar_split_clause,[],[f2013,f1995,f55,f11931]) ).
fof(f11931,plain,
( spl0_583
<=> ! [X0,X1] :
( ~ between(u,X0,w)
| ~ between(X0,X1,w)
| between(X0,continuous(u,X0,X0,X1,w,w1),w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_583])]) ).
fof(f2013,plain,
( ! [X0,X1] :
( ~ between(u,X0,w)
| ~ between(X0,X1,w)
| between(X0,continuous(u,X0,X0,X1,w,w1),w1) )
| ~ spl0_7
| ~ spl0_169 ),
inference(resolution,[],[f1996,f57]) ).
fof(f11843,plain,
( spl0_582
| ~ spl0_29
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f2102,f2094,f186,f11841]) ).
fof(f11841,plain,
( spl0_582
<=> ! [X0,X3,X2,X1] :
( X0 = X1
| ~ between(X0,X1,X2)
| ~ equidistant(X1,X2,X3,X3)
| equidistant(X2,X1,X3,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_582])]) ).
fof(f2094,plain,
( spl0_172
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ between(X0,X1,X2)
| X0 = X1
| ~ between(extension(X3,X4,X0,X1),X4,X5)
| ~ equidistant(X1,X2,X4,X5)
| equidistant(X2,X1,X5,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).
fof(f2102,plain,
( ! [X2,X3,X0,X1] :
( X0 = X1
| ~ between(X0,X1,X2)
| ~ equidistant(X1,X2,X3,X3)
| equidistant(X2,X1,X3,X3) )
| ~ spl0_29
| ~ spl0_172 ),
inference(resolution,[],[f2095,f187]) ).
fof(f2095,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(extension(X3,X4,X0,X1),X4,X5)
| X0 = X1
| ~ between(X0,X1,X2)
| ~ equidistant(X1,X2,X4,X5)
| equidistant(X2,X1,X5,X4) )
| ~ spl0_172 ),
inference(avatar_component_clause,[],[f2094]) ).
fof(f11839,plain,
( spl0_581
| ~ spl0_29
| ~ spl0_165 ),
inference(avatar_split_clause,[],[f1891,f1852,f186,f11837]) ).
fof(f11837,plain,
( spl0_581
<=> ! [X0,X3,X2,X1] :
( inner_pasch(X0,inner_pasch(X0,X1,X0,X0,X2),X0,X0,X3) = X0
| ~ between(X0,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_581])]) ).
fof(f1891,plain,
( ! [X2,X3,X0,X1] :
( inner_pasch(X0,inner_pasch(X0,X1,X0,X0,X2),X0,X0,X3) = X0
| ~ between(X0,X1,X0) )
| ~ spl0_29
| ~ spl0_165 ),
inference(resolution,[],[f1853,f187]) ).
fof(f11835,plain,
( spl0_580
| ~ spl0_29
| ~ spl0_164 ),
inference(avatar_split_clause,[],[f1863,f1848,f186,f11833]) ).
fof(f11833,plain,
( spl0_580
<=> ! [X0,X3,X2,X1] :
( ~ between(X0,X1,X0)
| inner_pasch(X0,inner_pasch(X2,X0,X0,X1,X0),X0,X0,X3) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_580])]) ).
fof(f1863,plain,
( ! [X2,X3,X0,X1] :
( ~ between(X0,X1,X0)
| inner_pasch(X0,inner_pasch(X2,X0,X0,X1,X0),X0,X0,X3) = X0 )
| ~ spl0_29
| ~ spl0_164 ),
inference(resolution,[],[f1849,f187]) ).
fof(f11775,plain,
( spl0_1
| ~ spl0_579
| ~ spl0_11
| ~ spl0_578 ),
inference(avatar_split_clause,[],[f11710,f11678,f73,f11772,f25]) ).
fof(f11772,plain,
( spl0_579
<=> between(u,v,w1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_579])]) ).
fof(f11710,plain,
( ~ between(u,v,w1)
| w = w1
| ~ spl0_11
| ~ spl0_578 ),
inference(resolution,[],[f11679,f74]) ).
fof(f11682,plain,
( ~ spl0_52
| spl0_577 ),
inference(avatar_contradiction_clause,[],[f11681]) ).
fof(f11681,plain,
( $false
| ~ spl0_52
| spl0_577 ),
inference(resolution,[],[f11676,f380]) ).
fof(f11676,plain,
( ~ equidistant(u,v,u,v)
| spl0_577 ),
inference(avatar_component_clause,[],[f11674]) ).
fof(f11680,plain,
( ~ spl0_577
| spl0_578
| spl0_2
| ~ spl0_7
| ~ spl0_189 ),
inference(avatar_split_clause,[],[f2652,f2220,f55,f30,f11678,f11674]) ).
fof(f2652,plain,
( ! [X0] :
( u = v
| ~ between(u,v,X0)
| ~ equidistant(u,v,u,v)
| equidistant(X0,w,X0,w1) )
| ~ spl0_7
| ~ spl0_189 ),
inference(duplicate_literal_removal,[],[f2640]) ).
fof(f2640,plain,
( ! [X0] :
( u = v
| ~ between(u,v,X0)
| ~ between(u,v,X0)
| ~ equidistant(u,v,u,v)
| equidistant(X0,w,X0,w1) )
| ~ spl0_7
| ~ spl0_189 ),
inference(resolution,[],[f2221,f57]) ).
fof(f11606,plain,
( ~ spl0_52
| spl0_575 ),
inference(avatar_contradiction_clause,[],[f11605]) ).
fof(f11605,plain,
( $false
| ~ spl0_52
| spl0_575 ),
inference(resolution,[],[f11600,f380]) ).
fof(f11600,plain,
( ~ equidistant(v,u,v,u)
| spl0_575 ),
inference(avatar_component_clause,[],[f11598]) ).
fof(f11604,plain,
( ~ spl0_575
| spl0_576
| spl0_2
| ~ spl0_8
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f2638,f2207,f60,f30,f11602,f11598]) ).
fof(f2638,plain,
( ! [X0] :
( u = v
| ~ between(v,u,X0)
| ~ equidistant(v,u,v,u)
| equidistant(X0,w,X0,w1) )
| ~ spl0_8
| ~ spl0_188 ),
inference(duplicate_literal_removal,[],[f2628]) ).
fof(f2628,plain,
( ! [X0] :
( u = v
| ~ between(v,u,X0)
| ~ between(v,u,X0)
| ~ equidistant(v,u,v,u)
| equidistant(X0,w,X0,w1) )
| ~ spl0_8
| ~ spl0_188 ),
inference(resolution,[],[f2208,f62]) ).
fof(f11596,plain,
( spl0_574
| ~ spl0_165
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f2528,f2330,f1852,f11594]) ).
fof(f11594,plain,
( spl0_574
<=> ! [X0,X1] :
( u = inner_pasch(u,inner_pasch(w,X0,u,u,X1),w,u,u)
| ~ between(w,X0,u) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_574])]) ).
fof(f2528,plain,
( ! [X0,X1] :
( u = inner_pasch(u,inner_pasch(w,X0,u,u,X1),w,u,u)
| ~ between(w,X0,u) )
| ~ spl0_165
| ~ spl0_198 ),
inference(resolution,[],[f2331,f1853]) ).
fof(f11578,plain,
( spl0_573
| ~ spl0_164
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f2527,f2330,f1848,f11576]) ).
fof(f11576,plain,
( spl0_573
<=> ! [X0,X1] :
( ~ between(w,X0,u)
| u = inner_pasch(u,inner_pasch(X1,u,u,X0,w),w,u,u) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_573])]) ).
fof(f2527,plain,
( ! [X0,X1] :
( ~ between(w,X0,u)
| u = inner_pasch(u,inner_pasch(X1,u,u,X0,w),w,u,u) )
| ~ spl0_164
| ~ spl0_198 ),
inference(resolution,[],[f2331,f1849]) ).
fof(f11574,plain,
( spl0_572
| ~ spl0_52
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f2452,f2387,f379,f11572]) ).
fof(f11572,plain,
( spl0_572
<=> ! [X0,X1] :
( ~ equidistant(X0,u,X0,w1)
| ~ between(X0,v,X1)
| v = X0
| equidistant(X1,u,X1,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_572])]) ).
fof(f2452,plain,
( ! [X0,X1] :
( ~ equidistant(X0,u,X0,w1)
| ~ between(X0,v,X1)
| v = X0
| equidistant(X1,u,X1,w1) )
| ~ spl0_52
| ~ spl0_208 ),
inference(duplicate_literal_removal,[],[f2444]) ).
fof(f2444,plain,
( ! [X0,X1] :
( ~ equidistant(X0,u,X0,w1)
| ~ between(X0,v,X1)
| v = X0
| ~ between(X0,v,X1)
| equidistant(X1,u,X1,w1) )
| ~ spl0_52
| ~ spl0_208 ),
inference(resolution,[],[f2388,f380]) ).
fof(f11570,plain,
( spl0_571
| ~ spl0_3
| ~ spl0_165 ),
inference(avatar_split_clause,[],[f1901,f1852,f35,f11568]) ).
fof(f11568,plain,
( spl0_571
<=> ! [X0,X1] :
( v = inner_pasch(v,inner_pasch(w,X0,v,v,X1),w,v,u)
| ~ between(w,X0,v) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_571])]) ).
fof(f1901,plain,
( ! [X0,X1] :
( v = inner_pasch(v,inner_pasch(w,X0,v,v,X1),w,v,u)
| ~ between(w,X0,v) )
| ~ spl0_3
| ~ spl0_165 ),
inference(resolution,[],[f1853,f37]) ).
fof(f11566,plain,
( spl0_570
| ~ spl0_3
| ~ spl0_164 ),
inference(avatar_split_clause,[],[f1873,f1848,f35,f11564]) ).
fof(f11564,plain,
( spl0_570
<=> ! [X0,X1] :
( ~ between(w,X0,v)
| v = inner_pasch(v,inner_pasch(X1,v,v,X0,w),w,v,u) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_570])]) ).
fof(f1873,plain,
( ! [X0,X1] :
( ~ between(w,X0,v)
| v = inner_pasch(v,inner_pasch(X1,v,v,X0,w),w,v,u) )
| ~ spl0_3
| ~ spl0_164 ),
inference(resolution,[],[f1849,f37]) ).
fof(f11562,plain,
( spl0_569
| ~ spl0_3
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f1834,f1518,f35,f11560]) ).
fof(f11560,plain,
( spl0_569
<=> ! [X0] :
( v = inner_pasch(v,inner_pasch(w,X0,w,v,u),w,v,u)
| ~ between(w,X0,w) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_569])]) ).
fof(f1834,plain,
( ! [X0] :
( v = inner_pasch(v,inner_pasch(w,X0,w,v,u),w,v,u)
| ~ between(w,X0,w) )
| ~ spl0_3
| ~ spl0_150 ),
inference(resolution,[],[f1519,f37]) ).
fof(f11558,plain,
( spl0_568
| ~ spl0_29
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f1829,f1518,f186,f11556]) ).
fof(f11556,plain,
( spl0_568
<=> ! [X0,X1] :
( v = inner_pasch(v,inner_pasch(v,X0,w,v,u),v,v,X1)
| ~ between(v,X0,w) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_568])]) ).
fof(f1829,plain,
( ! [X0,X1] :
( v = inner_pasch(v,inner_pasch(v,X0,w,v,u),v,v,X1)
| ~ between(v,X0,w) )
| ~ spl0_29
| ~ spl0_150 ),
inference(resolution,[],[f1519,f187]) ).
fof(f11554,plain,
( spl0_567
| ~ spl0_3
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f1816,f1509,f35,f11552]) ).
fof(f11552,plain,
( spl0_567
<=> ! [X0] :
( ~ between(w,X0,w)
| v = inner_pasch(v,inner_pasch(u,v,w,X0,w),w,v,u) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_567])]) ).
fof(f1816,plain,
( ! [X0] :
( ~ between(w,X0,w)
| v = inner_pasch(v,inner_pasch(u,v,w,X0,w),w,v,u) )
| ~ spl0_3
| ~ spl0_148 ),
inference(resolution,[],[f1510,f37]) ).
fof(f11550,plain,
( spl0_566
| ~ spl0_29
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f1811,f1509,f186,f11548]) ).
fof(f11548,plain,
( spl0_566
<=> ! [X0,X1] :
( ~ between(v,X0,w)
| v = inner_pasch(v,inner_pasch(u,v,w,X0,v),v,v,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_566])]) ).
fof(f1811,plain,
( ! [X0,X1] :
( ~ between(v,X0,w)
| v = inner_pasch(v,inner_pasch(u,v,w,X0,v),v,v,X1) )
| ~ spl0_29
| ~ spl0_148 ),
inference(resolution,[],[f1510,f187]) ).
fof(f11546,plain,
( spl0_565
| ~ spl0_29
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f1785,f1505,f186,f11544]) ).
fof(f11544,plain,
( spl0_565
<=> ! [X0,X1] :
( ~ between(X0,v,X1)
| v = inner_pasch(u,v,w,inner_pasch(w,X1,X1,v,X0),v) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_565])]) ).
fof(f1785,plain,
( ! [X0,X1] :
( ~ between(X0,v,X1)
| v = inner_pasch(u,v,w,inner_pasch(w,X1,X1,v,X0),v) )
| ~ spl0_29
| ~ spl0_147 ),
inference(resolution,[],[f1506,f187]) ).
fof(f11542,plain,
( spl0_564
| ~ spl0_29
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f1759,f1501,f186,f11540]) ).
fof(f11540,plain,
( spl0_564
<=> ! [X0,X1] :
( v = inner_pasch(u,v,w,inner_pasch(X0,v,X1,X1,w),v)
| ~ between(X0,v,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_564])]) ).
fof(f1759,plain,
( ! [X0,X1] :
( v = inner_pasch(u,v,w,inner_pasch(X0,v,X1,X1,w),v)
| ~ between(X0,v,X1) )
| ~ spl0_29
| ~ spl0_146 ),
inference(resolution,[],[f1502,f187]) ).
fof(f11509,plain,
( spl0_563
| ~ spl0_12
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f1319,f1307,f77,f11507]) ).
fof(f11507,plain,
( spl0_563
<=> ! [X0,X3,X2,X1] : inner_pasch(X0,extension(X1,X0,X2,X3),extension(X1,X0,X2,X3),X0,X1) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_563])]) ).
fof(f1319,plain,
( ! [X2,X3,X0,X1] : inner_pasch(X0,extension(X1,X0,X2,X3),extension(X1,X0,X2,X3),X0,X1) = X0
| ~ spl0_12
| ~ spl0_130 ),
inference(resolution,[],[f1308,f78]) ).
fof(f11023,plain,
( spl0_562
| ~ spl0_129
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f1390,f1368,f1265,f11021]) ).
fof(f11021,plain,
( spl0_562
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(extension(X4,X5,X0,X1),X5,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_562])]) ).
fof(f1390,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(extension(X4,X5,X0,X1),X5,X2,X3) )
| ~ spl0_129
| ~ spl0_134 ),
inference(resolution,[],[f1369,f1266]) ).
fof(f11019,plain,
( spl0_561
| ~ spl0_27
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f1386,f1368,f169,f11017]) ).
fof(f11017,plain,
( spl0_561
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(extension(X4,X5,X0,X1),X5,X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_561])]) ).
fof(f1386,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(extension(X4,X5,X0,X1),X5,X3,X2) )
| ~ spl0_27
| ~ spl0_134 ),
inference(resolution,[],[f1369,f170]) ).
fof(f11015,plain,
( spl0_560
| ~ spl0_55
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f1382,f1368,f434,f11013]) ).
fof(f11013,plain,
( spl0_560
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ equidistant(X0,X1,X2,X2)
| equidistant(extension(X3,X4,X0,X1),X4,X5,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_560])]) ).
fof(f1382,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X2,X2)
| equidistant(extension(X3,X4,X0,X1),X4,X5,X5) )
| ~ spl0_55
| ~ spl0_134 ),
inference(resolution,[],[f1369,f435]) ).
fof(f11011,plain,
( spl0_559
| ~ spl0_29
| ~ spl0_538 ),
inference(avatar_split_clause,[],[f10218,f10209,f186,f11008]) ).
fof(f11008,plain,
( spl0_559
<=> u = inner_pasch(u,u,w,w,u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_559])]) ).
fof(f10209,plain,
( spl0_538
<=> ! [X0] :
( ~ between(u,X0,w)
| u = inner_pasch(u,u,w,X0,u) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_538])]) ).
fof(f10218,plain,
( u = inner_pasch(u,u,w,w,u)
| ~ spl0_29
| ~ spl0_538 ),
inference(resolution,[],[f10210,f187]) ).
fof(f10210,plain,
( ! [X0] :
( ~ between(u,X0,w)
| u = inner_pasch(u,u,w,X0,u) )
| ~ spl0_538 ),
inference(avatar_component_clause,[],[f10209]) ).
fof(f11006,plain,
( spl0_558
| ~ spl0_14
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f1203,f1174,f87,f11004]) ).
fof(f11004,plain,
( spl0_558
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,X4,extension(X5,X4,X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_558])]) ).
fof(f1203,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,X4,extension(X5,X4,X0,X1)) )
| ~ spl0_14
| ~ spl0_124 ),
inference(resolution,[],[f1175,f88]) ).
fof(f11002,plain,
( spl0_557
| ~ spl0_14
| ~ spl0_123 ),
inference(avatar_split_clause,[],[f1183,f1170,f87,f11000]) ).
fof(f11000,plain,
( spl0_557
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ equidistant(extension(X0,X1,X2,X3),X1,X4,X5)
| equidistant(X4,X5,X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_557])]) ).
fof(f1183,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(extension(X0,X1,X2,X3),X1,X4,X5)
| equidistant(X4,X5,X3,X2) )
| ~ spl0_14
| ~ spl0_123 ),
inference(resolution,[],[f1171,f88]) ).
fof(f10762,plain,
( spl0_556
| ~ spl0_198
| ~ spl0_538 ),
inference(avatar_split_clause,[],[f10217,f10209,f2330,f10759]) ).
fof(f10759,plain,
( spl0_556
<=> u = inner_pasch(u,u,w,u,u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_556])]) ).
fof(f10217,plain,
( u = inner_pasch(u,u,w,u,u)
| ~ spl0_198
| ~ spl0_538 ),
inference(resolution,[],[f10210,f2331]) ).
fof(f10757,plain,
( spl0_555
| ~ spl0_126
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f1413,f1368,f1221,f10755]) ).
fof(f10755,plain,
( spl0_555
<=> ! [X2,X0,X1,X3] :
( ~ equidistant(X0,X1,w,v)
| equidistant(extension(X2,X3,X0,X1),X3,v,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_555])]) ).
fof(f1413,plain,
( ! [X2,X3,X0,X1] :
( ~ equidistant(X0,X1,w,v)
| equidistant(extension(X2,X3,X0,X1),X3,v,w1) )
| ~ spl0_126
| ~ spl0_134 ),
inference(resolution,[],[f1369,f1222]) ).
fof(f10753,plain,
( spl0_554
| ~ spl0_125
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f1412,f1368,f1217,f10751]) ).
fof(f10751,plain,
( spl0_554
<=> ! [X2,X0,X1,X3] :
( ~ equidistant(X0,X1,w,u)
| equidistant(extension(X2,X3,X0,X1),X3,u,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_554])]) ).
fof(f1412,plain,
( ! [X2,X3,X0,X1] :
( ~ equidistant(X0,X1,w,u)
| equidistant(extension(X2,X3,X0,X1),X3,u,w1) )
| ~ spl0_125
| ~ spl0_134 ),
inference(resolution,[],[f1369,f1218]) ).
fof(f10749,plain,
( spl0_553
| ~ spl0_128
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f1411,f1368,f1229,f10747]) ).
fof(f10747,plain,
( spl0_553
<=> ! [X2,X0,X1,X3] :
( ~ equidistant(X0,X1,v,w1)
| equidistant(extension(X2,X3,X0,X1),X3,w,v) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_553])]) ).
fof(f1411,plain,
( ! [X2,X3,X0,X1] :
( ~ equidistant(X0,X1,v,w1)
| equidistant(extension(X2,X3,X0,X1),X3,w,v) )
| ~ spl0_128
| ~ spl0_134 ),
inference(resolution,[],[f1369,f1230]) ).
fof(f10745,plain,
( spl0_552
| ~ spl0_26
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f1410,f1368,f159,f10743]) ).
fof(f10743,plain,
( spl0_552
<=> ! [X2,X0,X1,X3] :
( ~ equidistant(X0,X1,v,w)
| equidistant(extension(X2,X3,X0,X1),X3,v,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_552])]) ).
fof(f1410,plain,
( ! [X2,X3,X0,X1] :
( ~ equidistant(X0,X1,v,w)
| equidistant(extension(X2,X3,X0,X1),X3,v,w1) )
| ~ spl0_26
| ~ spl0_134 ),
inference(resolution,[],[f1369,f160]) ).
fof(f10741,plain,
( spl0_551
| ~ spl0_127
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f1409,f1368,f1225,f10739]) ).
fof(f10739,plain,
( spl0_551
<=> ! [X2,X0,X1,X3] :
( ~ equidistant(X0,X1,u,w1)
| equidistant(extension(X2,X3,X0,X1),X3,w,u) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_551])]) ).
fof(f1409,plain,
( ! [X2,X3,X0,X1] :
( ~ equidistant(X0,X1,u,w1)
| equidistant(extension(X2,X3,X0,X1),X3,w,u) )
| ~ spl0_127
| ~ spl0_134 ),
inference(resolution,[],[f1369,f1226]) ).
fof(f10737,plain,
( spl0_550
| ~ spl0_25
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f1408,f1368,f155,f10735]) ).
fof(f10735,plain,
( spl0_550
<=> ! [X2,X0,X1,X3] :
( ~ equidistant(X0,X1,u,w)
| equidistant(extension(X2,X3,X0,X1),X3,u,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_550])]) ).
fof(f1408,plain,
( ! [X2,X3,X0,X1] :
( ~ equidistant(X0,X1,u,w)
| equidistant(extension(X2,X3,X0,X1),X3,u,w1) )
| ~ spl0_25
| ~ spl0_134 ),
inference(resolution,[],[f1369,f156]) ).
fof(f10733,plain,
( spl0_549
| ~ spl0_14
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f1167,f1152,f87,f10731]) ).
fof(f10731,plain,
( spl0_549
<=> ! [X0,X3,X2,X1] :
( ~ equidistant(extension(X0,X1,v,w),X1,X2,X3)
| equidistant(X2,X3,v,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_549])]) ).
fof(f1167,plain,
( ! [X2,X3,X0,X1] :
( ~ equidistant(extension(X0,X1,v,w),X1,X2,X3)
| equidistant(X2,X3,v,w1) )
| ~ spl0_14
| ~ spl0_122 ),
inference(resolution,[],[f1153,f88]) ).
fof(f10729,plain,
( spl0_548
| ~ spl0_14
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f1160,f1148,f87,f10727]) ).
fof(f10727,plain,
( spl0_548
<=> ! [X0,X3,X2,X1] :
( ~ equidistant(extension(X0,X1,u,w),X1,X2,X3)
| equidistant(X2,X3,u,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_548])]) ).
fof(f1160,plain,
( ! [X2,X3,X0,X1] :
( ~ equidistant(extension(X0,X1,u,w),X1,X2,X3)
| equidistant(X2,X3,u,w1) )
| ~ spl0_14
| ~ spl0_121 ),
inference(resolution,[],[f1149,f88]) ).
fof(f10669,plain,
( spl0_547
| ~ spl0_3
| ~ spl0_538 ),
inference(avatar_split_clause,[],[f10216,f10209,f35,f10666]) ).
fof(f10666,plain,
( spl0_547
<=> u = inner_pasch(u,u,w,v,u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_547])]) ).
fof(f10216,plain,
( u = inner_pasch(u,u,w,v,u)
| ~ spl0_3
| ~ spl0_538 ),
inference(resolution,[],[f10210,f37]) ).
fof(f10254,plain,
( spl0_546
| ~ spl0_29
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f1492,f1489,f186,f10252]) ).
fof(f10252,plain,
( spl0_546
<=> ! [X0] :
( ~ between(X0,X0,X0)
| continuous(X0,X0,X0,X0,X0,X0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_546])]) ).
fof(f1492,plain,
( ! [X0] :
( ~ between(X0,X0,X0)
| continuous(X0,X0,X0,X0,X0,X0) = X0 )
| ~ spl0_29
| ~ spl0_145 ),
inference(resolution,[],[f1490,f187]) ).
fof(f10250,plain,
( spl0_545
| ~ spl0_53
| ~ spl0_135 ),
inference(avatar_split_clause,[],[f1425,f1379,f408,f10248]) ).
fof(f10248,plain,
( spl0_545
<=> ! [X2,X3,X4,X0,X5,X1] : equidistant(extension(X0,X1,extension(X2,X3,X4,X5),X3),X1,X4,X5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_545])]) ).
fof(f1425,plain,
( ! [X2,X3,X0,X1,X4,X5] : equidistant(extension(X0,X1,extension(X2,X3,X4,X5),X3),X1,X4,X5)
| ~ spl0_53
| ~ spl0_135 ),
inference(resolution,[],[f1380,f409]) ).
fof(f10246,plain,
( spl0_544
| ~ spl0_124
| ~ spl0_135 ),
inference(avatar_split_clause,[],[f1424,f1379,f1174,f10244]) ).
fof(f10244,plain,
( spl0_544
<=> ! [X3,X4,X0,X5,X2,X1] : equidistant(X0,extension(X1,X0,extension(X2,X3,X4,X5),X3),X4,X5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_544])]) ).
fof(f1424,plain,
( ! [X2,X3,X0,X1,X4,X5] : equidistant(X0,extension(X1,X0,extension(X2,X3,X4,X5),X3),X4,X5)
| ~ spl0_124
| ~ spl0_135 ),
inference(resolution,[],[f1380,f1175]) ).
fof(f10242,plain,
( spl0_543
| ~ spl0_129
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f1359,f1349,f1265,f10240]) ).
fof(f10240,plain,
( spl0_543
<=> ! [X5,X4,X2,X0,X3,X1] : equidistant(X0,X1,extension(X2,X3,X4,extension(X5,X4,X0,X1)),X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_543])]) ).
fof(f1359,plain,
( ! [X2,X3,X0,X1,X4,X5] : equidistant(X0,X1,extension(X2,X3,X4,extension(X5,X4,X0,X1)),X3)
| ~ spl0_129
| ~ spl0_133 ),
inference(resolution,[],[f1350,f1266]) ).
fof(f10238,plain,
( spl0_542
| ~ spl0_27
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f1355,f1349,f169,f10236]) ).
fof(f10236,plain,
( spl0_542
<=> ! [X2,X3,X4,X0,X5,X1] : equidistant(X0,X1,X2,extension(X3,X2,X4,extension(X5,X4,X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_542])]) ).
fof(f1355,plain,
( ! [X2,X3,X0,X1,X4,X5] : equidistant(X0,X1,X2,extension(X3,X2,X4,extension(X5,X4,X0,X1)))
| ~ spl0_27
| ~ spl0_133 ),
inference(resolution,[],[f1350,f170]) ).
fof(f10234,plain,
( spl0_541
| ~ spl0_28
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f1207,f1174,f178,f10232]) ).
fof(f10232,plain,
( spl0_541
<=> ! [X3,X4,X0,X5,X2,X1] : equidistant(X0,extension(X1,X0,X2,extension(X3,X2,X4,X5)),X4,X5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_541])]) ).
fof(f1207,plain,
( ! [X2,X3,X0,X1,X4,X5] : equidistant(X0,extension(X1,X0,X2,extension(X3,X2,X4,X5)),X4,X5)
| ~ spl0_28
| ~ spl0_124 ),
inference(resolution,[],[f1175,f179]) ).
fof(f10230,plain,
( spl0_540
| ~ spl0_130
| ~ spl0_537 ),
inference(avatar_split_clause,[],[f10197,f10183,f1307,f10227]) ).
fof(f10227,plain,
( spl0_540
<=> v = inner_pasch(v,u,u,v,w) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_540])]) ).
fof(f10183,plain,
( spl0_537
<=> between(w,v,u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_537])]) ).
fof(f10197,plain,
( v = inner_pasch(v,u,u,v,w)
| ~ spl0_130
| ~ spl0_537 ),
inference(resolution,[],[f10185,f1308]) ).
fof(f10185,plain,
( between(w,v,u)
| ~ spl0_537 ),
inference(avatar_component_clause,[],[f10183]) ).
fof(f10215,plain,
( spl0_539
| ~ spl0_31
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f2523,f2330,f194,f10213]) ).
fof(f10213,plain,
( spl0_539
<=> ! [X0] :
( ~ between(X0,u,w)
| u = inner_pasch(u,u,w,u,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_539])]) ).
fof(f194,plain,
( spl0_31
<=> ! [X0,X3,X2,X1] :
( ~ between(X0,X1,X2)
| ~ between(X1,X3,X2)
| inner_pasch(X1,X3,X2,X1,X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f2523,plain,
( ! [X0] :
( ~ between(X0,u,w)
| u = inner_pasch(u,u,w,u,X0) )
| ~ spl0_31
| ~ spl0_198 ),
inference(resolution,[],[f2331,f195]) ).
fof(f195,plain,
( ! [X2,X3,X0,X1] :
( ~ between(X1,X3,X2)
| ~ between(X0,X1,X2)
| inner_pasch(X1,X3,X2,X1,X0) = X1 )
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f194]) ).
fof(f10211,plain,
( spl0_538
| ~ spl0_30
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f2522,f2330,f190,f10209]) ).
fof(f190,plain,
( spl0_30
<=> ! [X0,X3,X2,X1] :
( ~ between(X0,X1,X2)
| ~ between(X3,X0,X2)
| inner_pasch(X3,X0,X2,X1,X0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f2522,plain,
( ! [X0] :
( ~ between(u,X0,w)
| u = inner_pasch(u,u,w,X0,u) )
| ~ spl0_30
| ~ spl0_198 ),
inference(resolution,[],[f2331,f191]) ).
fof(f191,plain,
( ! [X2,X3,X0,X1] :
( ~ between(X3,X0,X2)
| ~ between(X0,X1,X2)
| inner_pasch(X3,X0,X2,X1,X0) = X0 )
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f190]) ).
fof(f10186,plain,
( ~ spl0_3
| ~ spl0_143
| spl0_537
| ~ spl0_16
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f1145,f1139,f99,f10183,f1475,f35]) ).
fof(f1475,plain,
( spl0_143
<=> between(v,w,w) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).
fof(f1139,plain,
( spl0_120
<=> v = inner_pasch(u,v,w,w,v) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f1145,plain,
( between(w,v,u)
| ~ between(v,w,w)
| ~ between(u,v,w)
| ~ spl0_16
| ~ spl0_120 ),
inference(superposition,[],[f100,f1141]) ).
fof(f1141,plain,
( v = inner_pasch(u,v,w,w,v)
| ~ spl0_120 ),
inference(avatar_component_clause,[],[f1139]) ).
fof(f10107,plain,
( spl0_536
| ~ spl0_129
| ~ spl0_332 ),
inference(avatar_split_clause,[],[f6835,f5068,f1265,f10105]) ).
fof(f10105,plain,
( spl0_536
<=> ! [X0,X1] : equidistant(u,w1,X0,extension(X1,X0,w,u)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_536])]) ).
fof(f5068,plain,
( spl0_332
<=> ! [X0,X1] : equidistant(X0,extension(X1,X0,w,u),u,w1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_332])]) ).
fof(f6835,plain,
( ! [X0,X1] : equidistant(u,w1,X0,extension(X1,X0,w,u))
| ~ spl0_129
| ~ spl0_332 ),
inference(resolution,[],[f5069,f1266]) ).
fof(f5069,plain,
( ! [X0,X1] : equidistant(X0,extension(X1,X0,w,u),u,w1)
| ~ spl0_332 ),
inference(avatar_component_clause,[],[f5068]) ).
fof(f10103,plain,
( spl0_535
| ~ spl0_14
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f919,f625,f87,f10101]) ).
fof(f919,plain,
( ! [X0,X1] :
( ~ equidistant(w,v,X0,X1)
| equidistant(X0,X1,w1,v) )
| ~ spl0_14
| ~ spl0_75 ),
inference(resolution,[],[f627,f88]) ).
fof(f10099,plain,
( spl0_534
| ~ spl0_14
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f845,f543,f87,f10097]) ).
fof(f845,plain,
( ! [X0,X1] :
( ~ equidistant(w,u,X0,X1)
| equidistant(X0,X1,w1,u) )
| ~ spl0_14
| ~ spl0_69 ),
inference(resolution,[],[f545,f88]) ).
fof(f10095,plain,
( spl0_533
| ~ spl0_14
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f754,f491,f87,f10093]) ).
fof(f754,plain,
( ! [X0,X1] :
( ~ equidistant(v,w1,X0,X1)
| equidistant(X0,X1,v,w) )
| ~ spl0_14
| ~ spl0_63 ),
inference(resolution,[],[f493,f88]) ).
fof(f10091,plain,
( spl0_532
| ~ spl0_14
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f697,f449,f87,f10089]) ).
fof(f697,plain,
( ! [X0,X1] :
( ~ equidistant(u,w1,X0,X1)
| equidistant(X0,X1,u,w) )
| ~ spl0_14
| ~ spl0_57 ),
inference(resolution,[],[f451,f88]) ).
fof(f10076,plain,
( spl0_531
| ~ spl0_41
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f1072,f1064,f281,f10074]) ).
fof(f10074,plain,
( spl0_531
<=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( continuous(X0,X1,X2,X3,X4,X5) = continuous(continuous(X0,X1,X2,X3,X4,X5),X6,X7,X0,X8,X9)
| ~ between(X0,continuous(X0,X1,X2,X3,X4,X5),X10)
| ~ equidistant(continuous(X0,X1,X2,X3,X4,X5),X11,continuous(X0,X1,X2,X3,X4,X5),X10)
| ~ between(continuous(continuous(X0,X1,X2,X3,X4,X5),X6,X7,X0,X8,X9),continuous(X0,X1,X2,X3,X4,X5),X11)
| equidistant(X11,X0,X10,continuous(continuous(X0,X1,X2,X3,X4,X5),X6,X7,X0,X8,X9))
| ~ between(continuous(X0,X1,X2,X3,X4,X5),X6,X8)
| ~ equidistant(continuous(X0,X1,X2,X3,X4,X5),X8,continuous(X0,X1,X2,X3,X4,X5),X9)
| ~ equidistant(continuous(X0,X1,X2,X3,X4,X5),X6,continuous(X0,X1,X2,X3,X4,X5),X7)
| ~ between(X6,X0,X8)
| ~ equidistant(X0,X4,X0,X5)
| ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,continuous(continuous(X0,X1,X2,X3,X4,X5),X6,X7,X0,X8,X9),continuous(X0,X1,X2,X3,X4,X5))
| ~ between(X0,X1,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_531])]) ).
fof(f281,plain,
( spl0_41
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ between(X0,X1,X2)
| ~ equidistant(X0,X2,X0,X3)
| ~ equidistant(X0,X1,X0,X4)
| ~ between(X1,X5,X2)
| ~ equidistant(X0,X5,X6,X7)
| equidistant(X6,X7,X0,continuous(X0,X1,X4,X5,X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f1064,plain,
( spl0_112
<=> ! [X5,X4,X2,X0,X7,X6,X3,X1] :
( ~ between(continuous(X0,X1,X2,X3,X4,X5),X0,X6)
| continuous(X0,X1,X2,X3,X4,X5) = X0
| ~ between(X3,X0,X7)
| ~ equidistant(X0,X6,X0,X7)
| ~ equidistant(continuous(X0,X1,X2,X3,X4,X5),X0,X3,X0)
| equidistant(X6,X3,X7,continuous(X0,X1,X2,X3,X4,X5))
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X5)
| ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f1072,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( continuous(X0,X1,X2,X3,X4,X5) = continuous(continuous(X0,X1,X2,X3,X4,X5),X6,X7,X0,X8,X9)
| ~ between(X0,continuous(X0,X1,X2,X3,X4,X5),X10)
| ~ equidistant(continuous(X0,X1,X2,X3,X4,X5),X11,continuous(X0,X1,X2,X3,X4,X5),X10)
| ~ between(continuous(continuous(X0,X1,X2,X3,X4,X5),X6,X7,X0,X8,X9),continuous(X0,X1,X2,X3,X4,X5),X11)
| equidistant(X11,X0,X10,continuous(continuous(X0,X1,X2,X3,X4,X5),X6,X7,X0,X8,X9))
| ~ between(continuous(X0,X1,X2,X3,X4,X5),X6,X8)
| ~ equidistant(continuous(X0,X1,X2,X3,X4,X5),X8,continuous(X0,X1,X2,X3,X4,X5),X9)
| ~ equidistant(continuous(X0,X1,X2,X3,X4,X5),X6,continuous(X0,X1,X2,X3,X4,X5),X7)
| ~ between(X6,X0,X8)
| ~ equidistant(X0,X4,X0,X5)
| ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,continuous(continuous(X0,X1,X2,X3,X4,X5),X6,X7,X0,X8,X9),continuous(X0,X1,X2,X3,X4,X5))
| ~ between(X0,X1,X4) )
| ~ spl0_41
| ~ spl0_112 ),
inference(resolution,[],[f1065,f282]) ).
fof(f282,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( equidistant(X6,X7,X0,continuous(X0,X1,X4,X5,X2,X3))
| ~ equidistant(X0,X2,X0,X3)
| ~ equidistant(X0,X1,X0,X4)
| ~ between(X1,X5,X2)
| ~ equidistant(X0,X5,X6,X7)
| ~ between(X0,X1,X2) )
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f1065,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(continuous(X0,X1,X2,X3,X4,X5),X0,X3,X0)
| continuous(X0,X1,X2,X3,X4,X5) = X0
| ~ between(X3,X0,X7)
| ~ equidistant(X0,X6,X0,X7)
| ~ between(continuous(X0,X1,X2,X3,X4,X5),X0,X6)
| equidistant(X6,X3,X7,continuous(X0,X1,X2,X3,X4,X5))
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X5)
| ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4) )
| ~ spl0_112 ),
inference(avatar_component_clause,[],[f1064]) ).
fof(f10057,plain,
( spl0_530
| ~ spl0_42
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f1135,f1122,f296,f10055]) ).
fof(f10055,plain,
( spl0_530
<=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ between(X0,X3,X5)
| ~ equidistant(X0,X5,X0,X6)
| ~ between(X3,X7,X5)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X8)
| continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X8),X7,X5,X6) = inner_pasch(continuous(X0,X1,X2,X3,X4,X8),continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X8),X7,X5,X6),X6,continuous(X9,extension(X10,X9,X9,continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X8),X7,X5,X6)),continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X8),X7,X5,X6),X11,X12,X6),continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X8),X7,X5,X6))
| ~ equidistant(X9,X12,X9,X6)
| ~ between(extension(X10,X9,X9,continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X8),X7,X5,X6)),X11,X12)
| ~ between(X9,extension(X10,X9,X9,continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X8),X7,X5,X6)),X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_530])]) ).
fof(f296,plain,
( spl0_42
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ between(X0,extension(X1,X0,X0,X2),X3)
| ~ equidistant(X0,X3,X0,X4)
| ~ between(extension(X1,X0,X0,X2),X5,X3)
| between(X2,continuous(X0,extension(X1,X0,X0,X2),X2,X5,X3,X4),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f1122,plain,
( spl0_118
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ equidistant(X0,X3,X0,X4)
| ~ between(X3,X5,X1)
| ~ between(X0,X5,X6)
| ~ equidistant(X0,X6,X0,X7)
| ~ between(X5,X8,X6)
| ~ between(X0,X3,X1)
| ~ between(continuous(X0,X5,continuous(X0,X3,X4,X5,X1,X2),X8,X6,X7),X9,X7)
| continuous(X0,X5,continuous(X0,X3,X4,X5,X1,X2),X8,X6,X7) = inner_pasch(continuous(X0,X3,X4,X5,X1,X2),continuous(X0,X5,continuous(X0,X3,X4,X5,X1,X2),X8,X6,X7),X7,X9,continuous(X0,X5,continuous(X0,X3,X4,X5,X1,X2),X8,X6,X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f1135,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ between(X0,X3,X5)
| ~ equidistant(X0,X5,X0,X6)
| ~ between(X3,X7,X5)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X8)
| continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X8),X7,X5,X6) = inner_pasch(continuous(X0,X1,X2,X3,X4,X8),continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X8),X7,X5,X6),X6,continuous(X9,extension(X10,X9,X9,continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X8),X7,X5,X6)),continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X8),X7,X5,X6),X11,X12,X6),continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X8),X7,X5,X6))
| ~ equidistant(X9,X12,X9,X6)
| ~ between(extension(X10,X9,X9,continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X8),X7,X5,X6)),X11,X12)
| ~ between(X9,extension(X10,X9,X9,continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X8),X7,X5,X6)),X12) )
| ~ spl0_42
| ~ spl0_118 ),
inference(resolution,[],[f1123,f297]) ).
fof(f297,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( between(X2,continuous(X0,extension(X1,X0,X0,X2),X2,X5,X3,X4),X4)
| ~ equidistant(X0,X3,X0,X4)
| ~ between(extension(X1,X0,X0,X2),X5,X3)
| ~ between(X0,extension(X1,X0,X0,X2),X3) )
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f1123,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ between(continuous(X0,X5,continuous(X0,X3,X4,X5,X1,X2),X8,X6,X7),X9,X7)
| ~ equidistant(X0,X3,X0,X4)
| ~ between(X3,X5,X1)
| ~ between(X0,X5,X6)
| ~ equidistant(X0,X6,X0,X7)
| ~ between(X5,X8,X6)
| ~ between(X0,X3,X1)
| ~ equidistant(X0,X1,X0,X2)
| continuous(X0,X5,continuous(X0,X3,X4,X5,X1,X2),X8,X6,X7) = inner_pasch(continuous(X0,X3,X4,X5,X1,X2),continuous(X0,X5,continuous(X0,X3,X4,X5,X1,X2),X8,X6,X7),X7,X9,continuous(X0,X5,continuous(X0,X3,X4,X5,X1,X2),X8,X6,X7)) )
| ~ spl0_118 ),
inference(avatar_component_clause,[],[f1122]) ).
fof(f10030,plain,
( spl0_529
| ~ spl0_73
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f1047,f1032,f606,f10028]) ).
fof(f10028,plain,
( spl0_529
<=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X5,continuous(continuous(X0,X1,X2,X3,X4,X6),X7,X8,X9,X10,X11))
| ~ between(X0,X1,X4)
| ~ between(X9,X0,X12)
| ~ between(continuous(X0,X1,X2,X3,X4,X6),X5,X13)
| continuous(X0,X1,X2,X3,X4,X6) = X5
| ~ equidistant(X0,X4,X0,X6)
| ~ equidistant(X5,X13,X0,X12)
| ~ equidistant(continuous(X0,X1,X2,X3,X4,X6),X5,X9,X0)
| equidistant(X13,continuous(continuous(X0,X1,X2,X3,X4,X6),X7,X8,X9,X10,X11),X12,continuous(X0,X1,X2,X3,X4,X6))
| ~ between(continuous(X0,X1,X2,X3,X4,X6),X7,X10)
| ~ equidistant(continuous(X0,X1,X2,X3,X4,X6),X10,continuous(X0,X1,X2,X3,X4,X6),X11)
| ~ equidistant(continuous(X0,X1,X2,X3,X4,X6),X7,continuous(X0,X1,X2,X3,X4,X6),X8)
| ~ between(X7,X9,X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_529])]) ).
fof(f1032,plain,
( spl0_110
<=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ equidistant(X0,X3,X0,X4)
| ~ between(X3,X5,X1)
| ~ equidistant(X0,X5,X6,X7)
| ~ between(X0,X3,X1)
| ~ between(X8,X0,X9)
| ~ between(X10,X6,X11)
| X6 = X10
| ~ equidistant(X10,X7,X8,continuous(X0,X3,X4,X5,X1,X2))
| ~ equidistant(X6,X11,X0,X9)
| ~ equidistant(X10,X6,X8,X0)
| equidistant(X11,X7,X9,continuous(X0,X3,X4,X5,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f1047,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X5,continuous(continuous(X0,X1,X2,X3,X4,X6),X7,X8,X9,X10,X11))
| ~ between(X0,X1,X4)
| ~ between(X9,X0,X12)
| ~ between(continuous(X0,X1,X2,X3,X4,X6),X5,X13)
| continuous(X0,X1,X2,X3,X4,X6) = X5
| ~ equidistant(X0,X4,X0,X6)
| ~ equidistant(X5,X13,X0,X12)
| ~ equidistant(continuous(X0,X1,X2,X3,X4,X6),X5,X9,X0)
| equidistant(X13,continuous(continuous(X0,X1,X2,X3,X4,X6),X7,X8,X9,X10,X11),X12,continuous(X0,X1,X2,X3,X4,X6))
| ~ between(continuous(X0,X1,X2,X3,X4,X6),X7,X10)
| ~ equidistant(continuous(X0,X1,X2,X3,X4,X6),X10,continuous(X0,X1,X2,X3,X4,X6),X11)
| ~ equidistant(continuous(X0,X1,X2,X3,X4,X6),X7,continuous(X0,X1,X2,X3,X4,X6),X8)
| ~ between(X7,X9,X10) )
| ~ spl0_73
| ~ spl0_110 ),
inference(resolution,[],[f1033,f607]) ).
fof(f1033,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X10,X7,X8,continuous(X0,X3,X4,X5,X1,X2))
| ~ equidistant(X0,X3,X0,X4)
| ~ between(X3,X5,X1)
| ~ equidistant(X0,X5,X6,X7)
| ~ between(X0,X3,X1)
| ~ between(X8,X0,X9)
| ~ between(X10,X6,X11)
| X6 = X10
| ~ equidistant(X0,X1,X0,X2)
| ~ equidistant(X6,X11,X0,X9)
| ~ equidistant(X10,X6,X8,X0)
| equidistant(X11,X7,X9,continuous(X0,X3,X4,X5,X1,X2)) )
| ~ spl0_110 ),
inference(avatar_component_clause,[],[f1032]) ).
fof(f10026,plain,
( spl0_528
| ~ spl0_27
| ~ spl0_332 ),
inference(avatar_split_clause,[],[f6831,f5068,f169,f10024]) ).
fof(f10024,plain,
( spl0_528
<=> ! [X0,X1] : equidistant(u,w1,extension(X0,X1,w,u),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_528])]) ).
fof(f6831,plain,
( ! [X0,X1] : equidistant(u,w1,extension(X0,X1,w,u),X1)
| ~ spl0_27
| ~ spl0_332 ),
inference(resolution,[],[f5069,f170]) ).
fof(f10011,plain,
( spl0_527
| ~ spl0_90
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f998,f984,f838,f10009]) ).
fof(f10009,plain,
( spl0_527
<=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X0,X5)
| ~ between(X0,X1,X4)
| ~ between(X0,X5,X6)
| ~ equidistant(X0,X6,X0,euclid2(X7,X8,X9,X10,continuous(X0,X1,X2,X3,X4,X11)))
| ~ between(X5,X12,X6)
| ~ equidistant(X0,X4,X0,X11)
| continuous(X0,X1,X2,X3,X4,X11) = inner_pasch(euclid1(X7,X8,X9,X10,continuous(X0,X1,X2,X3,X4,X11)),continuous(X0,X1,X2,X3,X4,X11),euclid2(X7,X8,X9,X10,continuous(X0,X1,X2,X3,X4,X11)),continuous(X0,X5,continuous(X0,X1,X2,X3,X4,X11),X12,X6,euclid2(X7,X8,X9,X10,continuous(X0,X1,X2,X3,X4,X11))),continuous(X0,X1,X2,X3,X4,X11))
| ~ between(X8,X9,X10)
| ~ between(X7,X9,continuous(X0,X1,X2,X3,X4,X11))
| X7 = X9 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_527])]) ).
fof(f838,plain,
( spl0_90
<=> ! [X2,X4,X0,X5,X3,X1] :
( ~ between(X0,X1,euclid2(X2,X3,X4,X5,X0))
| inner_pasch(euclid1(X2,X3,X4,X5,X0),X0,euclid2(X2,X3,X4,X5,X0),X1,X0) = X0
| ~ between(X3,X4,X5)
| ~ between(X2,X4,X0)
| X2 = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f984,plain,
( spl0_104
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ equidistant(X0,X3,X0,X4)
| ~ between(X3,X5,X1)
| ~ equidistant(X0,X5,X0,X6)
| ~ between(X0,X3,X1)
| ~ between(X0,X6,X7)
| ~ equidistant(X0,X7,X0,X8)
| ~ between(X6,X9,X7)
| between(continuous(X0,X3,X4,X5,X1,X2),continuous(X0,X6,continuous(X0,X3,X4,X5,X1,X2),X9,X7,X8),X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f998,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X0,X5)
| ~ between(X0,X1,X4)
| ~ between(X0,X5,X6)
| ~ equidistant(X0,X6,X0,euclid2(X7,X8,X9,X10,continuous(X0,X1,X2,X3,X4,X11)))
| ~ between(X5,X12,X6)
| ~ equidistant(X0,X4,X0,X11)
| continuous(X0,X1,X2,X3,X4,X11) = inner_pasch(euclid1(X7,X8,X9,X10,continuous(X0,X1,X2,X3,X4,X11)),continuous(X0,X1,X2,X3,X4,X11),euclid2(X7,X8,X9,X10,continuous(X0,X1,X2,X3,X4,X11)),continuous(X0,X5,continuous(X0,X1,X2,X3,X4,X11),X12,X6,euclid2(X7,X8,X9,X10,continuous(X0,X1,X2,X3,X4,X11))),continuous(X0,X1,X2,X3,X4,X11))
| ~ between(X8,X9,X10)
| ~ between(X7,X9,continuous(X0,X1,X2,X3,X4,X11))
| X7 = X9 )
| ~ spl0_90
| ~ spl0_104 ),
inference(resolution,[],[f985,f839]) ).
fof(f839,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(X0,X1,euclid2(X2,X3,X4,X5,X0))
| inner_pasch(euclid1(X2,X3,X4,X5,X0),X0,euclid2(X2,X3,X4,X5,X0),X1,X0) = X0
| ~ between(X3,X4,X5)
| ~ between(X2,X4,X0)
| X2 = X4 )
| ~ spl0_90 ),
inference(avatar_component_clause,[],[f838]) ).
fof(f985,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( between(continuous(X0,X3,X4,X5,X1,X2),continuous(X0,X6,continuous(X0,X3,X4,X5,X1,X2),X9,X7,X8),X8)
| ~ equidistant(X0,X3,X0,X4)
| ~ between(X3,X5,X1)
| ~ equidistant(X0,X5,X0,X6)
| ~ between(X0,X3,X1)
| ~ between(X0,X6,X7)
| ~ equidistant(X0,X7,X0,X8)
| ~ between(X6,X9,X7)
| ~ equidistant(X0,X1,X0,X2) )
| ~ spl0_104 ),
inference(avatar_component_clause,[],[f984]) ).
fof(f9990,plain,
( spl0_526
| ~ spl0_89
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f1059,f1036,f811,f9988]) ).
fof(f9988,plain,
( spl0_526
<=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X0,continuous(X5,X6,X7,extension(X8,X5,X5,continuous(X0,X1,X2,X3,X4,X9)),X10,X11))
| ~ between(X0,X1,X4)
| between(X0,X12,X5)
| between(X5,X0,X12)
| between(X12,X5,X0)
| continuous(X0,X1,X2,X3,X4,X9) = continuous(X5,X6,X7,extension(X8,X5,X5,continuous(X0,X1,X2,X3,X4,X9)),X10,X11)
| ~ equidistant(X0,X4,X0,X9)
| ~ equidistant(X12,continuous(X5,X6,X7,extension(X8,X5,X5,continuous(X0,X1,X2,X3,X4,X9)),X10,X11),X12,continuous(X0,X1,X2,X3,X4,X9))
| ~ between(X5,X6,X10)
| ~ equidistant(X5,X10,X5,X11)
| ~ equidistant(X5,X6,X5,X7)
| ~ between(X6,extension(X8,X5,X5,continuous(X0,X1,X2,X3,X4,X9)),X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_526])]) ).
fof(f811,plain,
( spl0_89
<=> ! [X5,X4,X2,X7,X0,X6,X3,X1] :
( equidistant(X0,continuous(X0,X1,X2,extension(X3,X0,X4,X5),X6,X7),X4,X5)
| ~ between(X0,X1,X6)
| ~ equidistant(X0,X6,X0,X7)
| ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,extension(X3,X0,X4,X5),X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f1036,plain,
( spl0_111
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ equidistant(X0,X3,X0,X4)
| ~ between(X3,X5,X1)
| ~ equidistant(X0,X5,X0,X6)
| ~ between(X0,X3,X1)
| between(X0,X7,X8)
| between(X8,X0,X7)
| between(X7,X8,X0)
| continuous(X0,X3,X4,X5,X1,X2) = X6
| ~ equidistant(X8,X6,X8,continuous(X0,X3,X4,X5,X1,X2))
| ~ equidistant(X7,X6,X7,continuous(X0,X3,X4,X5,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f1059,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X0,continuous(X5,X6,X7,extension(X8,X5,X5,continuous(X0,X1,X2,X3,X4,X9)),X10,X11))
| ~ between(X0,X1,X4)
| between(X0,X12,X5)
| between(X5,X0,X12)
| between(X12,X5,X0)
| continuous(X0,X1,X2,X3,X4,X9) = continuous(X5,X6,X7,extension(X8,X5,X5,continuous(X0,X1,X2,X3,X4,X9)),X10,X11)
| ~ equidistant(X0,X4,X0,X9)
| ~ equidistant(X12,continuous(X5,X6,X7,extension(X8,X5,X5,continuous(X0,X1,X2,X3,X4,X9)),X10,X11),X12,continuous(X0,X1,X2,X3,X4,X9))
| ~ between(X5,X6,X10)
| ~ equidistant(X5,X10,X5,X11)
| ~ equidistant(X5,X6,X5,X7)
| ~ between(X6,extension(X8,X5,X5,continuous(X0,X1,X2,X3,X4,X9)),X10) )
| ~ spl0_89
| ~ spl0_111 ),
inference(resolution,[],[f1037,f812]) ).
fof(f812,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( equidistant(X0,continuous(X0,X1,X2,extension(X3,X0,X4,X5),X6,X7),X4,X5)
| ~ between(X0,X1,X6)
| ~ equidistant(X0,X6,X0,X7)
| ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,extension(X3,X0,X4,X5),X6) )
| ~ spl0_89 ),
inference(avatar_component_clause,[],[f811]) ).
fof(f1037,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ equidistant(X8,X6,X8,continuous(X0,X3,X4,X5,X1,X2))
| ~ equidistant(X0,X3,X0,X4)
| ~ between(X3,X5,X1)
| ~ equidistant(X0,X5,X0,X6)
| ~ between(X0,X3,X1)
| between(X0,X7,X8)
| between(X8,X0,X7)
| between(X7,X8,X0)
| continuous(X0,X3,X4,X5,X1,X2) = X6
| ~ equidistant(X0,X1,X0,X2)
| ~ equidistant(X7,X6,X7,continuous(X0,X3,X4,X5,X1,X2)) )
| ~ spl0_111 ),
inference(avatar_component_clause,[],[f1036]) ).
fof(f9952,plain,
( spl0_525
| ~ spl0_20
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f1103,f1095,f117,f9950]) ).
fof(f9950,plain,
( spl0_525
<=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ between(X0,X3,X5)
| ~ equidistant(X0,X5,X0,euclid2(X6,X7,X8,X9,continuous(X0,X1,X2,X3,X4,X10)))
| ~ between(X3,X11,X5)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X10)
| continuous(X0,X1,X2,X3,X4,X10) = inner_pasch(continuous(X0,X1,X2,X3,X4,X10),continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X10),X11,X5,euclid2(X6,X7,X8,X9,continuous(X0,X1,X2,X3,X4,X10))),euclid2(X6,X7,X8,X9,continuous(X0,X1,X2,X3,X4,X10)),continuous(X0,X1,X2,X3,X4,X10),euclid1(X6,X7,X8,X9,continuous(X0,X1,X2,X3,X4,X10)))
| ~ between(X7,X8,X9)
| ~ between(X6,X8,continuous(X0,X1,X2,X3,X4,X10))
| X6 = X8 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_525])]) ).
fof(f117,plain,
( spl0_20
<=> ! [X10,X0,X5,X3,X1] :
( X5 = X10
| ~ between(X3,X5,X0)
| ~ between(X10,X5,X1)
| between(euclid1(X10,X3,X5,X0,X1),X1,euclid2(X10,X3,X5,X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f1095,plain,
( spl0_116
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ equidistant(X0,X3,X0,X4)
| ~ between(X3,X5,X1)
| ~ between(X0,X5,X6)
| ~ equidistant(X0,X6,X0,X7)
| ~ between(X5,X8,X6)
| ~ between(X0,X3,X1)
| ~ between(X9,continuous(X0,X3,X4,X5,X1,X2),X7)
| continuous(X0,X3,X4,X5,X1,X2) = inner_pasch(continuous(X0,X3,X4,X5,X1,X2),continuous(X0,X5,continuous(X0,X3,X4,X5,X1,X2),X8,X6,X7),X7,continuous(X0,X3,X4,X5,X1,X2),X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f1103,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ between(X0,X3,X5)
| ~ equidistant(X0,X5,X0,euclid2(X6,X7,X8,X9,continuous(X0,X1,X2,X3,X4,X10)))
| ~ between(X3,X11,X5)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X10)
| continuous(X0,X1,X2,X3,X4,X10) = inner_pasch(continuous(X0,X1,X2,X3,X4,X10),continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X10),X11,X5,euclid2(X6,X7,X8,X9,continuous(X0,X1,X2,X3,X4,X10))),euclid2(X6,X7,X8,X9,continuous(X0,X1,X2,X3,X4,X10)),continuous(X0,X1,X2,X3,X4,X10),euclid1(X6,X7,X8,X9,continuous(X0,X1,X2,X3,X4,X10)))
| ~ between(X7,X8,X9)
| ~ between(X6,X8,continuous(X0,X1,X2,X3,X4,X10))
| X6 = X8 )
| ~ spl0_20
| ~ spl0_116 ),
inference(resolution,[],[f1096,f118]) ).
fof(f118,plain,
( ! [X3,X10,X0,X1,X5] :
( between(euclid1(X10,X3,X5,X0,X1),X1,euclid2(X10,X3,X5,X0,X1))
| ~ between(X3,X5,X0)
| ~ between(X10,X5,X1)
| X5 = X10 )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f1096,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ between(X9,continuous(X0,X3,X4,X5,X1,X2),X7)
| ~ equidistant(X0,X3,X0,X4)
| ~ between(X3,X5,X1)
| ~ between(X0,X5,X6)
| ~ equidistant(X0,X6,X0,X7)
| ~ between(X5,X8,X6)
| ~ between(X0,X3,X1)
| ~ equidistant(X0,X1,X0,X2)
| continuous(X0,X3,X4,X5,X1,X2) = inner_pasch(continuous(X0,X3,X4,X5,X1,X2),continuous(X0,X5,continuous(X0,X3,X4,X5,X1,X2),X8,X6,X7),X7,continuous(X0,X3,X4,X5,X1,X2),X9) )
| ~ spl0_116 ),
inference(avatar_component_clause,[],[f1095]) ).
fof(f9948,plain,
( spl0_524
| ~ spl0_42
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f1082,f1074,f296,f9946]) ).
fof(f9946,plain,
( spl0_524
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ between(extension(X0,X1,X1,X2),X3,X4)
| ~ between(X1,extension(X0,X1,X1,X2),X4)
| ~ equidistant(X1,X4,X1,X5)
| continuous(X1,extension(X0,X1,X1,X2),X2,X3,X4,X5) = inner_pasch(X2,continuous(X1,extension(X0,X1,X1,X2),X2,X3,X4,X5),X5,continuous(X6,extension(X7,X6,X6,continuous(X1,extension(X0,X1,X1,X2),X2,X3,X4,X5)),continuous(X1,extension(X0,X1,X1,X2),X2,X3,X4,X5),X8,X9,X5),continuous(X1,extension(X0,X1,X1,X2),X2,X3,X4,X5))
| ~ equidistant(X6,X9,X6,X5)
| ~ between(extension(X7,X6,X6,continuous(X1,extension(X0,X1,X1,X2),X2,X3,X4,X5)),X8,X9)
| ~ between(X6,extension(X7,X6,X6,continuous(X1,extension(X0,X1,X1,X2),X2,X3,X4,X5)),X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_524])]) ).
fof(f1074,plain,
( spl0_114
<=> ! [X3,X4,X0,X6,X5,X2,X1] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(extension(X3,X0,X0,X4),X5,X1)
| ~ between(X0,extension(X3,X0,X0,X4),X1)
| ~ between(continuous(X0,extension(X3,X0,X0,X4),X4,X5,X1,X2),X6,X2)
| continuous(X0,extension(X3,X0,X0,X4),X4,X5,X1,X2) = inner_pasch(X4,continuous(X0,extension(X3,X0,X0,X4),X4,X5,X1,X2),X2,X6,continuous(X0,extension(X3,X0,X0,X4),X4,X5,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f1082,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ between(extension(X0,X1,X1,X2),X3,X4)
| ~ between(X1,extension(X0,X1,X1,X2),X4)
| ~ equidistant(X1,X4,X1,X5)
| continuous(X1,extension(X0,X1,X1,X2),X2,X3,X4,X5) = inner_pasch(X2,continuous(X1,extension(X0,X1,X1,X2),X2,X3,X4,X5),X5,continuous(X6,extension(X7,X6,X6,continuous(X1,extension(X0,X1,X1,X2),X2,X3,X4,X5)),continuous(X1,extension(X0,X1,X1,X2),X2,X3,X4,X5),X8,X9,X5),continuous(X1,extension(X0,X1,X1,X2),X2,X3,X4,X5))
| ~ equidistant(X6,X9,X6,X5)
| ~ between(extension(X7,X6,X6,continuous(X1,extension(X0,X1,X1,X2),X2,X3,X4,X5)),X8,X9)
| ~ between(X6,extension(X7,X6,X6,continuous(X1,extension(X0,X1,X1,X2),X2,X3,X4,X5)),X9) )
| ~ spl0_42
| ~ spl0_114 ),
inference(resolution,[],[f1075,f297]) ).
fof(f1075,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ between(continuous(X0,extension(X3,X0,X0,X4),X4,X5,X1,X2),X6,X2)
| ~ between(extension(X3,X0,X0,X4),X5,X1)
| ~ between(X0,extension(X3,X0,X0,X4),X1)
| ~ equidistant(X0,X1,X0,X2)
| continuous(X0,extension(X3,X0,X0,X4),X4,X5,X1,X2) = inner_pasch(X4,continuous(X0,extension(X3,X0,X0,X4),X4,X5,X1,X2),X2,X6,continuous(X0,extension(X3,X0,X0,X4),X4,X5,X1,X2)) )
| ~ spl0_114 ),
inference(avatar_component_clause,[],[f1074]) ).
fof(f9944,plain,
( spl0_523
| ~ spl0_45
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f859,f838,f320,f9942]) ).
fof(f9942,plain,
( spl0_523
<=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( continuous(X4,X5,X6,X7,X8,X9) = inner_pasch(euclid1(X0,X1,X2,X3,continuous(X4,X5,X6,X7,X8,X9)),continuous(X4,X5,X6,X7,X8,X9),euclid2(X0,X1,X2,X3,continuous(X4,X5,X6,X7,X8,X9)),continuous(X4,X7,continuous(X4,X5,X6,X7,X8,X9),X10,X11,euclid2(X0,X1,X2,X3,continuous(X4,X5,X6,X7,X8,X9))),continuous(X4,X5,X6,X7,X8,X9))
| ~ between(X1,X2,X3)
| ~ between(X0,X2,continuous(X4,X5,X6,X7,X8,X9))
| X0 = X2
| ~ equidistant(X4,X8,X4,X9)
| ~ equidistant(X4,X5,X4,X6)
| ~ between(X5,X7,X8)
| ~ between(X4,X7,X11)
| ~ equidistant(X4,X11,X4,euclid2(X0,X1,X2,X3,continuous(X4,X5,X6,X7,X8,X9)))
| ~ between(X7,X10,X11)
| ~ between(X4,X5,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_523])]) ).
fof(f320,plain,
( spl0_45
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ between(X0,X1,X2)
| ~ equidistant(X0,X2,X0,X3)
| ~ equidistant(X0,X1,X0,X4)
| ~ between(X1,X5,X2)
| ~ between(X0,X5,X6)
| ~ equidistant(X0,X6,X0,X7)
| ~ between(X5,X8,X6)
| between(continuous(X0,X1,X4,X5,X2,X3),continuous(X0,X5,continuous(X0,X1,X4,X5,X2,X3),X8,X6,X7),X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f859,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( continuous(X4,X5,X6,X7,X8,X9) = inner_pasch(euclid1(X0,X1,X2,X3,continuous(X4,X5,X6,X7,X8,X9)),continuous(X4,X5,X6,X7,X8,X9),euclid2(X0,X1,X2,X3,continuous(X4,X5,X6,X7,X8,X9)),continuous(X4,X7,continuous(X4,X5,X6,X7,X8,X9),X10,X11,euclid2(X0,X1,X2,X3,continuous(X4,X5,X6,X7,X8,X9))),continuous(X4,X5,X6,X7,X8,X9))
| ~ between(X1,X2,X3)
| ~ between(X0,X2,continuous(X4,X5,X6,X7,X8,X9))
| X0 = X2
| ~ equidistant(X4,X8,X4,X9)
| ~ equidistant(X4,X5,X4,X6)
| ~ between(X5,X7,X8)
| ~ between(X4,X7,X11)
| ~ equidistant(X4,X11,X4,euclid2(X0,X1,X2,X3,continuous(X4,X5,X6,X7,X8,X9)))
| ~ between(X7,X10,X11)
| ~ between(X4,X5,X8) )
| ~ spl0_45
| ~ spl0_90 ),
inference(resolution,[],[f839,f321]) ).
fof(f321,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( between(continuous(X0,X1,X4,X5,X2,X3),continuous(X0,X5,continuous(X0,X1,X4,X5,X2,X3),X8,X6,X7),X7)
| ~ equidistant(X0,X2,X0,X3)
| ~ equidistant(X0,X1,X0,X4)
| ~ between(X1,X5,X2)
| ~ between(X0,X5,X6)
| ~ equidistant(X0,X6,X0,X7)
| ~ between(X5,X8,X6)
| ~ between(X0,X1,X2) )
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f320]) ).
fof(f9940,plain,
( spl0_522
| ~ spl0_27
| ~ spl0_313 ),
inference(avatar_split_clause,[],[f6453,f4842,f169,f9938]) ).
fof(f9938,plain,
( spl0_522
<=> ! [X0,X1] : equidistant(X0,extension(X1,X0,v,w),w1,v) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_522])]) ).
fof(f4842,plain,
( spl0_313
<=> ! [X0,X1] : equidistant(v,w1,X0,extension(X1,X0,v,w)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_313])]) ).
fof(f6453,plain,
( ! [X0,X1] : equidistant(X0,extension(X1,X0,v,w),w1,v)
| ~ spl0_27
| ~ spl0_313 ),
inference(resolution,[],[f4843,f170]) ).
fof(f4843,plain,
( ! [X0,X1] : equidistant(v,w1,X0,extension(X1,X0,v,w))
| ~ spl0_313 ),
inference(avatar_component_clause,[],[f4842]) ).
fof(f9917,plain,
( spl0_521
| ~ spl0_89
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1027,f1020,f811,f9915]) ).
fof(f9915,plain,
( spl0_521
<=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ between(X0,X3,continuous(X0,X5,X6,extension(X7,X0,X0,continuous(X0,X1,X2,X3,X4,X8)),X9,X10))
| ~ equidistant(X0,X4,X0,X8)
| ~ between(X3,X11,continuous(X0,X5,X6,extension(X7,X0,X0,continuous(X0,X1,X2,X3,X4,X8)),X9,X10))
| ~ between(X0,X1,X4)
| continuous(X0,X1,X2,X3,X4,X8) = continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X8),X11,continuous(X0,X5,X6,extension(X7,X0,X0,continuous(X0,X1,X2,X3,X4,X8)),X9,X10),continuous(X0,X1,X2,X3,X4,X8))
| ~ between(X0,X5,X9)
| ~ equidistant(X0,X9,X0,X10)
| ~ equidistant(X0,X5,X0,X6)
| ~ between(X5,extension(X7,X0,X0,continuous(X0,X1,X2,X3,X4,X8)),X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_521])]) ).
fof(f1020,plain,
( spl0_109
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ equidistant(X0,X1,X0,X2)
| ~ equidistant(X0,X3,X0,X4)
| ~ between(X3,X5,X1)
| ~ between(X0,X5,X6)
| ~ equidistant(X0,X6,X0,continuous(X0,X3,X4,X5,X1,X2))
| ~ between(X5,X7,X6)
| ~ between(X0,X3,X1)
| continuous(X0,X3,X4,X5,X1,X2) = continuous(X0,X5,continuous(X0,X3,X4,X5,X1,X2),X7,X6,continuous(X0,X3,X4,X5,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f1027,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ between(X0,X3,continuous(X0,X5,X6,extension(X7,X0,X0,continuous(X0,X1,X2,X3,X4,X8)),X9,X10))
| ~ equidistant(X0,X4,X0,X8)
| ~ between(X3,X11,continuous(X0,X5,X6,extension(X7,X0,X0,continuous(X0,X1,X2,X3,X4,X8)),X9,X10))
| ~ between(X0,X1,X4)
| continuous(X0,X1,X2,X3,X4,X8) = continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X8),X11,continuous(X0,X5,X6,extension(X7,X0,X0,continuous(X0,X1,X2,X3,X4,X8)),X9,X10),continuous(X0,X1,X2,X3,X4,X8))
| ~ between(X0,X5,X9)
| ~ equidistant(X0,X9,X0,X10)
| ~ equidistant(X0,X5,X0,X6)
| ~ between(X5,extension(X7,X0,X0,continuous(X0,X1,X2,X3,X4,X8)),X9) )
| ~ spl0_89
| ~ spl0_109 ),
inference(resolution,[],[f1021,f812]) ).
fof(f1021,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X6,X0,continuous(X0,X3,X4,X5,X1,X2))
| ~ equidistant(X0,X3,X0,X4)
| ~ between(X3,X5,X1)
| ~ between(X0,X5,X6)
| ~ equidistant(X0,X1,X0,X2)
| ~ between(X5,X7,X6)
| ~ between(X0,X3,X1)
| continuous(X0,X3,X4,X5,X1,X2) = continuous(X0,X5,continuous(X0,X3,X4,X5,X1,X2),X7,X6,continuous(X0,X3,X4,X5,X1,X2)) )
| ~ spl0_109 ),
inference(avatar_component_clause,[],[f1020]) ).
fof(f9853,plain,
( spl0_520
| ~ spl0_104
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f1136,f1122,f984,f9851]) ).
fof(f9851,plain,
( spl0_520
<=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ between(X0,X3,X5)
| ~ equidistant(X0,X5,X0,X6)
| ~ between(X3,X7,X5)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X8)
| continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X8),X7,X5,X6) = inner_pasch(continuous(X0,X1,X2,X3,X4,X8),continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X8),X7,X5,X6),X6,continuous(X0,X9,continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X8),X7,X5,X6),X10,X11,X6),continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X8),X7,X5,X6))
| ~ equidistant(X0,X3,X0,continuous(X0,X1,X2,X3,X4,X8))
| ~ equidistant(X0,X7,X0,X9)
| ~ between(X0,X9,X11)
| ~ equidistant(X0,X11,X0,X6)
| ~ between(X9,X10,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_520])]) ).
fof(f1136,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ between(X0,X3,X5)
| ~ equidistant(X0,X5,X0,X6)
| ~ between(X3,X7,X5)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X8)
| continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X8),X7,X5,X6) = inner_pasch(continuous(X0,X1,X2,X3,X4,X8),continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X8),X7,X5,X6),X6,continuous(X0,X9,continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X8),X7,X5,X6),X10,X11,X6),continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X8),X7,X5,X6))
| ~ equidistant(X0,X3,X0,continuous(X0,X1,X2,X3,X4,X8))
| ~ equidistant(X0,X7,X0,X9)
| ~ between(X0,X9,X11)
| ~ equidistant(X0,X11,X0,X6)
| ~ between(X9,X10,X11) )
| ~ spl0_104
| ~ spl0_118 ),
inference(duplicate_literal_removal,[],[f1131]) ).
fof(f1131,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ between(X0,X3,X5)
| ~ equidistant(X0,X5,X0,X6)
| ~ between(X3,X7,X5)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X8)
| continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X8),X7,X5,X6) = inner_pasch(continuous(X0,X1,X2,X3,X4,X8),continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X8),X7,X5,X6),X6,continuous(X0,X9,continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X8),X7,X5,X6),X10,X11,X6),continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X8),X7,X5,X6))
| ~ equidistant(X0,X3,X0,continuous(X0,X1,X2,X3,X4,X8))
| ~ between(X3,X7,X5)
| ~ equidistant(X0,X7,X0,X9)
| ~ between(X0,X3,X5)
| ~ between(X0,X9,X11)
| ~ equidistant(X0,X11,X0,X6)
| ~ between(X9,X10,X11)
| ~ equidistant(X0,X5,X0,X6) )
| ~ spl0_104
| ~ spl0_118 ),
inference(resolution,[],[f1123,f985]) ).
fof(f9849,plain,
( spl0_519
| ~ spl0_104
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f1110,f1095,f984,f9847]) ).
fof(f9847,plain,
( spl0_519
<=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,continuous(X0,X2,X3,X4,X5,X6))
| ~ between(X1,X7,X8)
| ~ between(X0,X7,X9)
| ~ equidistant(X0,X9,X0,X10)
| ~ between(X7,X11,X9)
| ~ between(X0,X1,X8)
| ~ equidistant(X0,X8,X0,X10)
| continuous(X0,X1,continuous(X0,X2,X3,X4,X5,X6),X7,X8,X10) = inner_pasch(continuous(X0,X1,continuous(X0,X2,X3,X4,X5,X6),X7,X8,X10),continuous(X0,X7,continuous(X0,X1,continuous(X0,X2,X3,X4,X5,X6),X7,X8,X10),X11,X9,X10),X10,continuous(X0,X1,continuous(X0,X2,X3,X4,X5,X6),X7,X8,X10),continuous(X0,X2,X3,X4,X5,X6))
| ~ equidistant(X0,X2,X0,X3)
| ~ between(X2,X4,X5)
| ~ equidistant(X0,X4,X0,X1)
| ~ between(X0,X2,X5)
| ~ equidistant(X0,X5,X0,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_519])]) ).
fof(f1110,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,continuous(X0,X2,X3,X4,X5,X6))
| ~ between(X1,X7,X8)
| ~ between(X0,X7,X9)
| ~ equidistant(X0,X9,X0,X10)
| ~ between(X7,X11,X9)
| ~ between(X0,X1,X8)
| ~ equidistant(X0,X8,X0,X10)
| continuous(X0,X1,continuous(X0,X2,X3,X4,X5,X6),X7,X8,X10) = inner_pasch(continuous(X0,X1,continuous(X0,X2,X3,X4,X5,X6),X7,X8,X10),continuous(X0,X7,continuous(X0,X1,continuous(X0,X2,X3,X4,X5,X6),X7,X8,X10),X11,X9,X10),X10,continuous(X0,X1,continuous(X0,X2,X3,X4,X5,X6),X7,X8,X10),continuous(X0,X2,X3,X4,X5,X6))
| ~ equidistant(X0,X2,X0,X3)
| ~ between(X2,X4,X5)
| ~ equidistant(X0,X4,X0,X1)
| ~ between(X0,X2,X5)
| ~ equidistant(X0,X5,X0,X6) )
| ~ spl0_104
| ~ spl0_116 ),
inference(duplicate_literal_removal,[],[f1105]) ).
fof(f1105,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,continuous(X0,X2,X3,X4,X5,X6))
| ~ between(X1,X7,X8)
| ~ between(X0,X7,X9)
| ~ equidistant(X0,X9,X0,X10)
| ~ between(X7,X11,X9)
| ~ between(X0,X1,X8)
| ~ equidistant(X0,X8,X0,X10)
| continuous(X0,X1,continuous(X0,X2,X3,X4,X5,X6),X7,X8,X10) = inner_pasch(continuous(X0,X1,continuous(X0,X2,X3,X4,X5,X6),X7,X8,X10),continuous(X0,X7,continuous(X0,X1,continuous(X0,X2,X3,X4,X5,X6),X7,X8,X10),X11,X9,X10),X10,continuous(X0,X1,continuous(X0,X2,X3,X4,X5,X6),X7,X8,X10),continuous(X0,X2,X3,X4,X5,X6))
| ~ equidistant(X0,X2,X0,X3)
| ~ between(X2,X4,X5)
| ~ equidistant(X0,X4,X0,X1)
| ~ between(X0,X2,X5)
| ~ between(X0,X1,X8)
| ~ equidistant(X0,X8,X0,X10)
| ~ between(X1,X7,X8)
| ~ equidistant(X0,X5,X0,X6) )
| ~ spl0_104
| ~ spl0_116 ),
inference(resolution,[],[f1096,f985]) ).
fof(f9823,plain,
( spl0_518
| ~ spl0_79
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f997,f984,f671,f9821]) ).
fof(f9821,plain,
( spl0_518
<=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X0,X5)
| ~ between(X0,X1,X4)
| ~ between(X0,X5,X6)
| ~ equidistant(X0,X6,X0,euclid2(X7,X8,X9,continuous(X0,X1,X2,X3,X4,X10),X11))
| ~ between(X5,X12,X6)
| ~ equidistant(X0,X4,X0,X10)
| continuous(X0,X1,X2,X3,X4,X10) = inner_pasch(X7,continuous(X0,X1,X2,X3,X4,X10),euclid2(X7,X8,X9,continuous(X0,X1,X2,X3,X4,X10),X11),continuous(X0,X5,continuous(X0,X1,X2,X3,X4,X10),X12,X6,euclid2(X7,X8,X9,continuous(X0,X1,X2,X3,X4,X10),X11)),continuous(X0,X1,X2,X3,X4,X10))
| ~ between(X8,X9,continuous(X0,X1,X2,X3,X4,X10))
| ~ between(X7,X9,X11)
| X7 = X9 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_518])]) ).
fof(f671,plain,
( spl0_79
<=> ! [X2,X4,X0,X5,X3,X1] :
( ~ between(X0,X1,euclid2(X2,X3,X4,X0,X5))
| inner_pasch(X2,X0,euclid2(X2,X3,X4,X0,X5),X1,X0) = X0
| ~ between(X3,X4,X0)
| ~ between(X2,X4,X5)
| X2 = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f997,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X0,X5)
| ~ between(X0,X1,X4)
| ~ between(X0,X5,X6)
| ~ equidistant(X0,X6,X0,euclid2(X7,X8,X9,continuous(X0,X1,X2,X3,X4,X10),X11))
| ~ between(X5,X12,X6)
| ~ equidistant(X0,X4,X0,X10)
| continuous(X0,X1,X2,X3,X4,X10) = inner_pasch(X7,continuous(X0,X1,X2,X3,X4,X10),euclid2(X7,X8,X9,continuous(X0,X1,X2,X3,X4,X10),X11),continuous(X0,X5,continuous(X0,X1,X2,X3,X4,X10),X12,X6,euclid2(X7,X8,X9,continuous(X0,X1,X2,X3,X4,X10),X11)),continuous(X0,X1,X2,X3,X4,X10))
| ~ between(X8,X9,continuous(X0,X1,X2,X3,X4,X10))
| ~ between(X7,X9,X11)
| X7 = X9 )
| ~ spl0_79
| ~ spl0_104 ),
inference(resolution,[],[f985,f672]) ).
fof(f672,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(X0,X1,euclid2(X2,X3,X4,X0,X5))
| inner_pasch(X2,X0,euclid2(X2,X3,X4,X0,X5),X1,X0) = X0
| ~ between(X3,X4,X0)
| ~ between(X2,X4,X5)
| X2 = X4 )
| ~ spl0_79 ),
inference(avatar_component_clause,[],[f671]) ).
fof(f9819,plain,
( spl0_517
| ~ spl0_78
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f996,f984,f667,f9817]) ).
fof(f9817,plain,
( spl0_517
<=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X0,X5)
| ~ between(X0,X1,X4)
| ~ between(X0,X5,X6)
| ~ equidistant(X0,X6,X0,euclid1(X7,continuous(X0,X1,X2,X3,X4,X8),X9,X10,X11))
| ~ between(X5,X12,X6)
| ~ equidistant(X0,X4,X0,X8)
| continuous(X0,X1,X2,X3,X4,X8) = inner_pasch(X7,continuous(X0,X1,X2,X3,X4,X8),euclid1(X7,continuous(X0,X1,X2,X3,X4,X8),X9,X10,X11),continuous(X0,X5,continuous(X0,X1,X2,X3,X4,X8),X12,X6,euclid1(X7,continuous(X0,X1,X2,X3,X4,X8),X9,X10,X11)),continuous(X0,X1,X2,X3,X4,X8))
| ~ between(continuous(X0,X1,X2,X3,X4,X8),X9,X10)
| ~ between(X7,X9,X11)
| X7 = X9 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_517])]) ).
fof(f667,plain,
( spl0_78
<=> ! [X2,X4,X0,X5,X3,X1] :
( ~ between(X0,X1,euclid1(X2,X0,X3,X4,X5))
| inner_pasch(X2,X0,euclid1(X2,X0,X3,X4,X5),X1,X0) = X0
| ~ between(X0,X3,X4)
| ~ between(X2,X3,X5)
| X2 = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f996,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X0,X5)
| ~ between(X0,X1,X4)
| ~ between(X0,X5,X6)
| ~ equidistant(X0,X6,X0,euclid1(X7,continuous(X0,X1,X2,X3,X4,X8),X9,X10,X11))
| ~ between(X5,X12,X6)
| ~ equidistant(X0,X4,X0,X8)
| continuous(X0,X1,X2,X3,X4,X8) = inner_pasch(X7,continuous(X0,X1,X2,X3,X4,X8),euclid1(X7,continuous(X0,X1,X2,X3,X4,X8),X9,X10,X11),continuous(X0,X5,continuous(X0,X1,X2,X3,X4,X8),X12,X6,euclid1(X7,continuous(X0,X1,X2,X3,X4,X8),X9,X10,X11)),continuous(X0,X1,X2,X3,X4,X8))
| ~ between(continuous(X0,X1,X2,X3,X4,X8),X9,X10)
| ~ between(X7,X9,X11)
| X7 = X9 )
| ~ spl0_78
| ~ spl0_104 ),
inference(resolution,[],[f985,f668]) ).
fof(f668,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(X0,X1,euclid1(X2,X0,X3,X4,X5))
| inner_pasch(X2,X0,euclid1(X2,X0,X3,X4,X5),X1,X0) = X0
| ~ between(X0,X3,X4)
| ~ between(X2,X3,X5)
| X2 = X3 )
| ~ spl0_78 ),
inference(avatar_component_clause,[],[f667]) ).
fof(f9815,plain,
( spl0_516
| ~ spl0_27
| ~ spl0_310 ),
inference(avatar_split_clause,[],[f6290,f4764,f169,f9813]) ).
fof(f9813,plain,
( spl0_516
<=> ! [X0,X1] : equidistant(X0,extension(X1,X0,u,w),w1,u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_516])]) ).
fof(f4764,plain,
( spl0_310
<=> ! [X0,X1] : equidistant(u,w1,X0,extension(X1,X0,u,w)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_310])]) ).
fof(f6290,plain,
( ! [X0,X1] : equidistant(X0,extension(X1,X0,u,w),w1,u)
| ~ spl0_27
| ~ spl0_310 ),
inference(resolution,[],[f4765,f170]) ).
fof(f4765,plain,
( ! [X0,X1] : equidistant(u,w1,X0,extension(X1,X0,u,w))
| ~ spl0_310 ),
inference(avatar_component_clause,[],[f4764]) ).
fof(f9719,plain,
( spl0_515
| ~ spl0_45
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f1137,f1122,f320,f9717]) ).
fof(f9717,plain,
( spl0_515
<=> ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ between(X0,X3,X5)
| ~ equidistant(X0,X5,X0,X6)
| ~ between(X3,X7,X5)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X8)
| continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X8),X7,X5,X6) = inner_pasch(continuous(X0,X1,X2,X3,X4,X8),continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X8),X7,X5,X6),X6,continuous(X0,X7,continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X8),X7,X5,X6),X9,X10,X6),continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X8),X7,X5,X6))
| ~ equidistant(X0,X3,X0,continuous(X0,X1,X2,X3,X4,X8))
| ~ between(X0,X7,X10)
| ~ equidistant(X0,X10,X0,X6)
| ~ between(X7,X9,X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_515])]) ).
fof(f1137,plain,
( ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ between(X0,X3,X5)
| ~ equidistant(X0,X5,X0,X6)
| ~ between(X3,X7,X5)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X8)
| continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X8),X7,X5,X6) = inner_pasch(continuous(X0,X1,X2,X3,X4,X8),continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X8),X7,X5,X6),X6,continuous(X0,X7,continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X8),X7,X5,X6),X9,X10,X6),continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X8),X7,X5,X6))
| ~ equidistant(X0,X3,X0,continuous(X0,X1,X2,X3,X4,X8))
| ~ between(X0,X7,X10)
| ~ equidistant(X0,X10,X0,X6)
| ~ between(X7,X9,X10) )
| ~ spl0_45
| ~ spl0_118 ),
inference(duplicate_literal_removal,[],[f1130]) ).
fof(f1130,plain,
( ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ between(X0,X3,X5)
| ~ equidistant(X0,X5,X0,X6)
| ~ between(X3,X7,X5)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X8)
| continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X8),X7,X5,X6) = inner_pasch(continuous(X0,X1,X2,X3,X4,X8),continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X8),X7,X5,X6),X6,continuous(X0,X7,continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X8),X7,X5,X6),X9,X10,X6),continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X8),X7,X5,X6))
| ~ equidistant(X0,X5,X0,X6)
| ~ equidistant(X0,X3,X0,continuous(X0,X1,X2,X3,X4,X8))
| ~ between(X3,X7,X5)
| ~ between(X0,X7,X10)
| ~ equidistant(X0,X10,X0,X6)
| ~ between(X7,X9,X10)
| ~ between(X0,X3,X5) )
| ~ spl0_45
| ~ spl0_118 ),
inference(resolution,[],[f1123,f321]) ).
fof(f9715,plain,
( spl0_514
| ~ spl0_45
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f1111,f1095,f320,f9713]) ).
fof(f9713,plain,
( spl0_514
<=> ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,continuous(X0,X2,X3,X1,X4,X5))
| ~ between(X1,X6,X7)
| ~ between(X0,X6,X8)
| ~ equidistant(X0,X8,X0,X9)
| ~ between(X6,X10,X8)
| ~ between(X0,X1,X7)
| ~ equidistant(X0,X7,X0,X9)
| continuous(X0,X1,continuous(X0,X2,X3,X1,X4,X5),X6,X7,X9) = inner_pasch(continuous(X0,X1,continuous(X0,X2,X3,X1,X4,X5),X6,X7,X9),continuous(X0,X6,continuous(X0,X1,continuous(X0,X2,X3,X1,X4,X5),X6,X7,X9),X10,X8,X9),X9,continuous(X0,X1,continuous(X0,X2,X3,X1,X4,X5),X6,X7,X9),continuous(X0,X2,X3,X1,X4,X5))
| ~ equidistant(X0,X4,X0,X5)
| ~ equidistant(X0,X2,X0,X3)
| ~ between(X2,X1,X4)
| ~ between(X0,X2,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_514])]) ).
fof(f1111,plain,
( ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,continuous(X0,X2,X3,X1,X4,X5))
| ~ between(X1,X6,X7)
| ~ between(X0,X6,X8)
| ~ equidistant(X0,X8,X0,X9)
| ~ between(X6,X10,X8)
| ~ between(X0,X1,X7)
| ~ equidistant(X0,X7,X0,X9)
| continuous(X0,X1,continuous(X0,X2,X3,X1,X4,X5),X6,X7,X9) = inner_pasch(continuous(X0,X1,continuous(X0,X2,X3,X1,X4,X5),X6,X7,X9),continuous(X0,X6,continuous(X0,X1,continuous(X0,X2,X3,X1,X4,X5),X6,X7,X9),X10,X8,X9),X9,continuous(X0,X1,continuous(X0,X2,X3,X1,X4,X5),X6,X7,X9),continuous(X0,X2,X3,X1,X4,X5))
| ~ equidistant(X0,X4,X0,X5)
| ~ equidistant(X0,X2,X0,X3)
| ~ between(X2,X1,X4)
| ~ between(X0,X2,X4) )
| ~ spl0_45
| ~ spl0_116 ),
inference(duplicate_literal_removal,[],[f1104]) ).
fof(f1104,plain,
( ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,continuous(X0,X2,X3,X1,X4,X5))
| ~ between(X1,X6,X7)
| ~ between(X0,X6,X8)
| ~ equidistant(X0,X8,X0,X9)
| ~ between(X6,X10,X8)
| ~ between(X0,X1,X7)
| ~ equidistant(X0,X7,X0,X9)
| continuous(X0,X1,continuous(X0,X2,X3,X1,X4,X5),X6,X7,X9) = inner_pasch(continuous(X0,X1,continuous(X0,X2,X3,X1,X4,X5),X6,X7,X9),continuous(X0,X6,continuous(X0,X1,continuous(X0,X2,X3,X1,X4,X5),X6,X7,X9),X10,X8,X9),X9,continuous(X0,X1,continuous(X0,X2,X3,X1,X4,X5),X6,X7,X9),continuous(X0,X2,X3,X1,X4,X5))
| ~ equidistant(X0,X4,X0,X5)
| ~ equidistant(X0,X2,X0,X3)
| ~ between(X2,X1,X4)
| ~ between(X0,X1,X7)
| ~ equidistant(X0,X7,X0,X9)
| ~ between(X1,X6,X7)
| ~ between(X0,X2,X4) )
| ~ spl0_45
| ~ spl0_116 ),
inference(resolution,[],[f1096,f321]) ).
fof(f9711,plain,
( spl0_513
| ~ spl0_67
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f992,f984,f523,f9709]) ).
fof(f9709,plain,
( spl0_513
<=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X0,X5)
| ~ between(X0,X1,X4)
| ~ between(X0,X5,X6)
| ~ equidistant(X0,X6,X0,X7)
| ~ between(X5,X8,X6)
| ~ equidistant(X0,X4,X0,X9)
| continuous(X0,X5,continuous(X0,X1,X2,X3,X4,X9),X8,X6,X7) = inner_pasch(continuous(X0,X5,continuous(X0,X1,X2,X3,X4,X9),X8,X6,X7),inner_pasch(continuous(X0,X1,X2,X3,X4,X9),continuous(X0,X5,continuous(X0,X1,X2,X3,X4,X9),X8,X6,X7),X7,X10,X11),X11,continuous(X0,X5,continuous(X0,X1,X2,X3,X4,X9),X8,X6,X7),X12)
| ~ between(X11,X10,X7)
| ~ between(X12,continuous(X0,X5,continuous(X0,X1,X2,X3,X4,X9),X8,X6,X7),X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_513])]) ).
fof(f992,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X0,X5)
| ~ between(X0,X1,X4)
| ~ between(X0,X5,X6)
| ~ equidistant(X0,X6,X0,X7)
| ~ between(X5,X8,X6)
| ~ equidistant(X0,X4,X0,X9)
| continuous(X0,X5,continuous(X0,X1,X2,X3,X4,X9),X8,X6,X7) = inner_pasch(continuous(X0,X5,continuous(X0,X1,X2,X3,X4,X9),X8,X6,X7),inner_pasch(continuous(X0,X1,X2,X3,X4,X9),continuous(X0,X5,continuous(X0,X1,X2,X3,X4,X9),X8,X6,X7),X7,X10,X11),X11,continuous(X0,X5,continuous(X0,X1,X2,X3,X4,X9),X8,X6,X7),X12)
| ~ between(X11,X10,X7)
| ~ between(X12,continuous(X0,X5,continuous(X0,X1,X2,X3,X4,X9),X8,X6,X7),X11) )
| ~ spl0_67
| ~ spl0_104 ),
inference(resolution,[],[f985,f524]) ).
fof(f9707,plain,
( spl0_512
| ~ spl0_68
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f991,f984,f527,f9705]) ).
fof(f9705,plain,
( spl0_512
<=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X0,X5)
| ~ between(X0,X1,X4)
| ~ between(X0,X5,X6)
| ~ equidistant(X0,X6,X0,X7)
| ~ between(X5,X8,X6)
| ~ equidistant(X0,X4,X0,X9)
| continuous(X0,X5,continuous(X0,X1,X2,X3,X4,X9),X8,X6,X7) = inner_pasch(continuous(X0,X5,continuous(X0,X1,X2,X3,X4,X9),X8,X6,X7),inner_pasch(X10,X11,X7,continuous(X0,X5,continuous(X0,X1,X2,X3,X4,X9),X8,X6,X7),continuous(X0,X1,X2,X3,X4,X9)),X10,continuous(X0,X5,continuous(X0,X1,X2,X3,X4,X9),X8,X6,X7),X12)
| ~ between(X12,continuous(X0,X5,continuous(X0,X1,X2,X3,X4,X9),X8,X6,X7),X10)
| ~ between(X10,X11,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_512])]) ).
fof(f991,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X0,X5)
| ~ between(X0,X1,X4)
| ~ between(X0,X5,X6)
| ~ equidistant(X0,X6,X0,X7)
| ~ between(X5,X8,X6)
| ~ equidistant(X0,X4,X0,X9)
| continuous(X0,X5,continuous(X0,X1,X2,X3,X4,X9),X8,X6,X7) = inner_pasch(continuous(X0,X5,continuous(X0,X1,X2,X3,X4,X9),X8,X6,X7),inner_pasch(X10,X11,X7,continuous(X0,X5,continuous(X0,X1,X2,X3,X4,X9),X8,X6,X7),continuous(X0,X1,X2,X3,X4,X9)),X10,continuous(X0,X5,continuous(X0,X1,X2,X3,X4,X9),X8,X6,X7),X12)
| ~ between(X12,continuous(X0,X5,continuous(X0,X1,X2,X3,X4,X9),X8,X6,X7),X10)
| ~ between(X10,X11,X7) )
| ~ spl0_68
| ~ spl0_104 ),
inference(resolution,[],[f985,f528]) ).
fof(f9596,plain,
( spl0_511
| ~ spl0_18
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f1102,f1095,f109,f9594]) ).
fof(f9594,plain,
( spl0_511
<=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ between(X0,X3,X5)
| ~ equidistant(X0,X5,X0,euclid2(X6,X7,X8,continuous(X0,X1,X2,X3,X4,X9),X10))
| ~ between(X3,X11,X5)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X9)
| continuous(X0,X1,X2,X3,X4,X9) = inner_pasch(continuous(X0,X1,X2,X3,X4,X9),continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X9),X11,X5,euclid2(X6,X7,X8,continuous(X0,X1,X2,X3,X4,X9),X10)),euclid2(X6,X7,X8,continuous(X0,X1,X2,X3,X4,X9),X10),continuous(X0,X1,X2,X3,X4,X9),X6)
| ~ between(X7,X8,continuous(X0,X1,X2,X3,X4,X9))
| ~ between(X6,X8,X10)
| X6 = X8 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_511])]) ).
fof(f1102,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ between(X0,X3,X5)
| ~ equidistant(X0,X5,X0,euclid2(X6,X7,X8,continuous(X0,X1,X2,X3,X4,X9),X10))
| ~ between(X3,X11,X5)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X9)
| continuous(X0,X1,X2,X3,X4,X9) = inner_pasch(continuous(X0,X1,X2,X3,X4,X9),continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X9),X11,X5,euclid2(X6,X7,X8,continuous(X0,X1,X2,X3,X4,X9),X10)),euclid2(X6,X7,X8,continuous(X0,X1,X2,X3,X4,X9),X10),continuous(X0,X1,X2,X3,X4,X9),X6)
| ~ between(X7,X8,continuous(X0,X1,X2,X3,X4,X9))
| ~ between(X6,X8,X10)
| X6 = X8 )
| ~ spl0_18
| ~ spl0_116 ),
inference(resolution,[],[f1096,f110]) ).
fof(f9592,plain,
( spl0_510
| ~ spl0_17
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f1101,f1095,f105,f9590]) ).
fof(f9590,plain,
( spl0_510
<=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ between(X0,X3,X5)
| ~ equidistant(X0,X5,X0,euclid1(X6,continuous(X0,X1,X2,X3,X4,X7),X8,X9,X10))
| ~ between(X3,X11,X5)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X7)
| continuous(X0,X1,X2,X3,X4,X7) = inner_pasch(continuous(X0,X1,X2,X3,X4,X7),continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X7),X11,X5,euclid1(X6,continuous(X0,X1,X2,X3,X4,X7),X8,X9,X10)),euclid1(X6,continuous(X0,X1,X2,X3,X4,X7),X8,X9,X10),continuous(X0,X1,X2,X3,X4,X7),X6)
| ~ between(continuous(X0,X1,X2,X3,X4,X7),X8,X9)
| ~ between(X6,X8,X10)
| X6 = X8 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_510])]) ).
fof(f1101,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ between(X0,X3,X5)
| ~ equidistant(X0,X5,X0,euclid1(X6,continuous(X0,X1,X2,X3,X4,X7),X8,X9,X10))
| ~ between(X3,X11,X5)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X7)
| continuous(X0,X1,X2,X3,X4,X7) = inner_pasch(continuous(X0,X1,X2,X3,X4,X7),continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X7),X11,X5,euclid1(X6,continuous(X0,X1,X2,X3,X4,X7),X8,X9,X10)),euclid1(X6,continuous(X0,X1,X2,X3,X4,X7),X8,X9,X10),continuous(X0,X1,X2,X3,X4,X7),X6)
| ~ between(continuous(X0,X1,X2,X3,X4,X7),X8,X9)
| ~ between(X6,X8,X10)
| X6 = X8 )
| ~ spl0_17
| ~ spl0_116 ),
inference(resolution,[],[f1096,f106]) ).
fof(f9588,plain,
( spl0_509
| ~ spl0_45
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f707,f671,f320,f9586]) ).
fof(f9586,plain,
( spl0_509
<=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( continuous(X1,X2,X3,X4,X5,X6) = inner_pasch(X0,continuous(X1,X2,X3,X4,X5,X6),euclid2(X0,X7,X8,continuous(X1,X2,X3,X4,X5,X6),X9),continuous(X1,X4,continuous(X1,X2,X3,X4,X5,X6),X10,X11,euclid2(X0,X7,X8,continuous(X1,X2,X3,X4,X5,X6),X9)),continuous(X1,X2,X3,X4,X5,X6))
| ~ between(X7,X8,continuous(X1,X2,X3,X4,X5,X6))
| ~ between(X0,X8,X9)
| X0 = X8
| ~ equidistant(X1,X5,X1,X6)
| ~ equidistant(X1,X2,X1,X3)
| ~ between(X2,X4,X5)
| ~ between(X1,X4,X11)
| ~ equidistant(X1,X11,X1,euclid2(X0,X7,X8,continuous(X1,X2,X3,X4,X5,X6),X9))
| ~ between(X4,X10,X11)
| ~ between(X1,X2,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_509])]) ).
fof(f707,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( continuous(X1,X2,X3,X4,X5,X6) = inner_pasch(X0,continuous(X1,X2,X3,X4,X5,X6),euclid2(X0,X7,X8,continuous(X1,X2,X3,X4,X5,X6),X9),continuous(X1,X4,continuous(X1,X2,X3,X4,X5,X6),X10,X11,euclid2(X0,X7,X8,continuous(X1,X2,X3,X4,X5,X6),X9)),continuous(X1,X2,X3,X4,X5,X6))
| ~ between(X7,X8,continuous(X1,X2,X3,X4,X5,X6))
| ~ between(X0,X8,X9)
| X0 = X8
| ~ equidistant(X1,X5,X1,X6)
| ~ equidistant(X1,X2,X1,X3)
| ~ between(X2,X4,X5)
| ~ between(X1,X4,X11)
| ~ equidistant(X1,X11,X1,euclid2(X0,X7,X8,continuous(X1,X2,X3,X4,X5,X6),X9))
| ~ between(X4,X10,X11)
| ~ between(X1,X2,X5) )
| ~ spl0_45
| ~ spl0_79 ),
inference(resolution,[],[f672,f321]) ).
fof(f9584,plain,
( spl0_508
| ~ spl0_45
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f687,f667,f320,f9582]) ).
fof(f9582,plain,
( spl0_508
<=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( continuous(X1,X2,X3,X4,X5,X6) = inner_pasch(X0,continuous(X1,X2,X3,X4,X5,X6),euclid1(X0,continuous(X1,X2,X3,X4,X5,X6),X7,X8,X9),continuous(X1,X4,continuous(X1,X2,X3,X4,X5,X6),X10,X11,euclid1(X0,continuous(X1,X2,X3,X4,X5,X6),X7,X8,X9)),continuous(X1,X2,X3,X4,X5,X6))
| ~ between(continuous(X1,X2,X3,X4,X5,X6),X7,X8)
| ~ between(X0,X7,X9)
| X0 = X7
| ~ equidistant(X1,X5,X1,X6)
| ~ equidistant(X1,X2,X1,X3)
| ~ between(X2,X4,X5)
| ~ between(X1,X4,X11)
| ~ equidistant(X1,X11,X1,euclid1(X0,continuous(X1,X2,X3,X4,X5,X6),X7,X8,X9))
| ~ between(X4,X10,X11)
| ~ between(X1,X2,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_508])]) ).
fof(f687,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( continuous(X1,X2,X3,X4,X5,X6) = inner_pasch(X0,continuous(X1,X2,X3,X4,X5,X6),euclid1(X0,continuous(X1,X2,X3,X4,X5,X6),X7,X8,X9),continuous(X1,X4,continuous(X1,X2,X3,X4,X5,X6),X10,X11,euclid1(X0,continuous(X1,X2,X3,X4,X5,X6),X7,X8,X9)),continuous(X1,X2,X3,X4,X5,X6))
| ~ between(continuous(X1,X2,X3,X4,X5,X6),X7,X8)
| ~ between(X0,X7,X9)
| X0 = X7
| ~ equidistant(X1,X5,X1,X6)
| ~ equidistant(X1,X2,X1,X3)
| ~ between(X2,X4,X5)
| ~ between(X1,X4,X11)
| ~ equidistant(X1,X11,X1,euclid1(X0,continuous(X1,X2,X3,X4,X5,X6),X7,X8,X9))
| ~ between(X4,X10,X11)
| ~ between(X1,X2,X5) )
| ~ spl0_45
| ~ spl0_78 ),
inference(resolution,[],[f668,f321]) ).
fof(f9409,plain,
( spl0_507
| ~ spl0_16
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f1134,f1122,f99,f9407]) ).
fof(f9407,plain,
( spl0_507
<=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ between(X0,X3,X5)
| ~ equidistant(X0,X5,X0,X6)
| ~ between(X3,X7,X5)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X8)
| continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X8),X7,X5,X6) = inner_pasch(continuous(X0,X1,X2,X3,X4,X8),continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X8),X7,X5,X6),X6,inner_pasch(X6,X9,X10,continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X8),X7,X5,X6),X11),continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X8),X7,X5,X6))
| ~ between(X11,continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X8),X7,X5,X6),X10)
| ~ between(X6,X9,X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_507])]) ).
fof(f1134,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ between(X0,X3,X5)
| ~ equidistant(X0,X5,X0,X6)
| ~ between(X3,X7,X5)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X8)
| continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X8),X7,X5,X6) = inner_pasch(continuous(X0,X1,X2,X3,X4,X8),continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X8),X7,X5,X6),X6,inner_pasch(X6,X9,X10,continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X8),X7,X5,X6),X11),continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X8),X7,X5,X6))
| ~ between(X11,continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X8),X7,X5,X6),X10)
| ~ between(X6,X9,X10) )
| ~ spl0_16
| ~ spl0_118 ),
inference(resolution,[],[f1123,f100]) ).
fof(f9405,plain,
( spl0_506
| ~ spl0_15
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f1133,f1122,f95,f9403]) ).
fof(f9403,plain,
( spl0_506
<=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ between(X0,X3,X5)
| ~ equidistant(X0,X5,X0,X6)
| ~ between(X3,X7,X5)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X8)
| continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X8),X7,X5,X6) = inner_pasch(continuous(X0,X1,X2,X3,X4,X8),continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X8),X7,X5,X6),X6,inner_pasch(X9,continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X8),X7,X5,X6),X10,X11,X6),continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X8),X7,X5,X6))
| ~ between(X6,X11,X10)
| ~ between(X9,continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X8),X7,X5,X6),X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_506])]) ).
fof(f1133,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ between(X0,X3,X5)
| ~ equidistant(X0,X5,X0,X6)
| ~ between(X3,X7,X5)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X8)
| continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X8),X7,X5,X6) = inner_pasch(continuous(X0,X1,X2,X3,X4,X8),continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X8),X7,X5,X6),X6,inner_pasch(X9,continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X8),X7,X5,X6),X10,X11,X6),continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X8),X7,X5,X6))
| ~ between(X6,X11,X10)
| ~ between(X9,continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X8),X7,X5,X6),X10) )
| ~ spl0_15
| ~ spl0_118 ),
inference(resolution,[],[f1123,f96]) ).
fof(f9401,plain,
( spl0_505
| ~ spl0_45
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f555,f527,f320,f9399]) ).
fof(f9399,plain,
( spl0_505
<=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( continuous(X0,X1,continuous(X0,X2,X3,X1,X4,X5),X6,X7,X8) = inner_pasch(continuous(X0,X1,continuous(X0,X2,X3,X1,X4,X5),X6,X7,X8),inner_pasch(X9,X10,X8,continuous(X0,X1,continuous(X0,X2,X3,X1,X4,X5),X6,X7,X8),continuous(X0,X2,X3,X1,X4,X5)),X9,continuous(X0,X1,continuous(X0,X2,X3,X1,X4,X5),X6,X7,X8),X11)
| ~ between(X11,continuous(X0,X1,continuous(X0,X2,X3,X1,X4,X5),X6,X7,X8),X9)
| ~ between(X9,X10,X8)
| ~ equidistant(X0,X4,X0,X5)
| ~ equidistant(X0,X2,X0,X3)
| ~ between(X2,X1,X4)
| ~ between(X0,X1,X7)
| ~ equidistant(X0,X7,X0,X8)
| ~ between(X1,X6,X7)
| ~ between(X0,X2,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_505])]) ).
fof(f555,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( continuous(X0,X1,continuous(X0,X2,X3,X1,X4,X5),X6,X7,X8) = inner_pasch(continuous(X0,X1,continuous(X0,X2,X3,X1,X4,X5),X6,X7,X8),inner_pasch(X9,X10,X8,continuous(X0,X1,continuous(X0,X2,X3,X1,X4,X5),X6,X7,X8),continuous(X0,X2,X3,X1,X4,X5)),X9,continuous(X0,X1,continuous(X0,X2,X3,X1,X4,X5),X6,X7,X8),X11)
| ~ between(X11,continuous(X0,X1,continuous(X0,X2,X3,X1,X4,X5),X6,X7,X8),X9)
| ~ between(X9,X10,X8)
| ~ equidistant(X0,X4,X0,X5)
| ~ equidistant(X0,X2,X0,X3)
| ~ between(X2,X1,X4)
| ~ between(X0,X1,X7)
| ~ equidistant(X0,X7,X0,X8)
| ~ between(X1,X6,X7)
| ~ between(X0,X2,X4) )
| ~ spl0_45
| ~ spl0_68 ),
inference(resolution,[],[f528,f321]) ).
fof(f9397,plain,
( spl0_504
| ~ spl0_45
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f538,f523,f320,f9395]) ).
fof(f9395,plain,
( spl0_504
<=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( continuous(X0,X1,continuous(X0,X2,X3,X1,X4,X5),X6,X7,X8) = inner_pasch(continuous(X0,X1,continuous(X0,X2,X3,X1,X4,X5),X6,X7,X8),inner_pasch(continuous(X0,X2,X3,X1,X4,X5),continuous(X0,X1,continuous(X0,X2,X3,X1,X4,X5),X6,X7,X8),X8,X9,X10),X10,continuous(X0,X1,continuous(X0,X2,X3,X1,X4,X5),X6,X7,X8),X11)
| ~ between(X10,X9,X8)
| ~ between(X11,continuous(X0,X1,continuous(X0,X2,X3,X1,X4,X5),X6,X7,X8),X10)
| ~ equidistant(X0,X4,X0,X5)
| ~ equidistant(X0,X2,X0,X3)
| ~ between(X2,X1,X4)
| ~ between(X0,X1,X7)
| ~ equidistant(X0,X7,X0,X8)
| ~ between(X1,X6,X7)
| ~ between(X0,X2,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_504])]) ).
fof(f538,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( continuous(X0,X1,continuous(X0,X2,X3,X1,X4,X5),X6,X7,X8) = inner_pasch(continuous(X0,X1,continuous(X0,X2,X3,X1,X4,X5),X6,X7,X8),inner_pasch(continuous(X0,X2,X3,X1,X4,X5),continuous(X0,X1,continuous(X0,X2,X3,X1,X4,X5),X6,X7,X8),X8,X9,X10),X10,continuous(X0,X1,continuous(X0,X2,X3,X1,X4,X5),X6,X7,X8),X11)
| ~ between(X10,X9,X8)
| ~ between(X11,continuous(X0,X1,continuous(X0,X2,X3,X1,X4,X5),X6,X7,X8),X10)
| ~ equidistant(X0,X4,X0,X5)
| ~ equidistant(X0,X2,X0,X3)
| ~ between(X2,X1,X4)
| ~ between(X0,X1,X7)
| ~ equidistant(X0,X7,X0,X8)
| ~ between(X1,X6,X7)
| ~ between(X0,X2,X4) )
| ~ spl0_45
| ~ spl0_67 ),
inference(resolution,[],[f524,f321]) ).
fof(f9370,plain,
( spl0_503
| ~ spl0_87
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f1092,f1087,f775,f9368]) ).
fof(f9368,plain,
( spl0_503
<=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
( X0 = X1
| ~ between(X2,X3,X4)
| ~ equidistant(X1,X5,X3,X4)
| ~ equidistant(X0,X1,X2,X3)
| equidistant(X5,extension(X6,X1,X3,continuous(X2,X7,X8,continuous(X2,X9,X10,X11,X12,X13),X14,X15)),X4,continuous(X2,X7,X8,continuous(X2,X9,X10,X11,X12,X13),X14,X15))
| ~ equidistant(X2,X14,X2,X15)
| ~ equidistant(X2,X7,X2,X8)
| ~ between(X7,continuous(X2,X9,X10,X11,X12,X13),X14)
| ~ between(X0,X1,X5)
| ~ between(X2,X7,X14)
| ~ equidistant(X2,X9,X2,X10)
| ~ between(X9,X11,X12)
| ~ equidistant(X2,X11,extension(X6,X1,X3,continuous(X2,X7,X8,continuous(X2,X9,X10,X11,X12,X13),X14,X15)),X0)
| ~ between(X2,X9,X12)
| ~ equidistant(X2,X12,X2,X13) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_503])]) ).
fof(f775,plain,
( spl0_87
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ equidistant(X0,X1,X0,X2)
| ~ equidistant(X0,X3,X0,X4)
| ~ between(X3,X5,X1)
| ~ equidistant(X0,X5,X6,X7)
| ~ between(X0,X3,X1)
| equidistant(X0,continuous(X0,X3,X4,X5,X1,X2),X7,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f1087,plain,
( spl0_115
<=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ between(X0,X1,X2)
| X0 = X1
| ~ between(X3,X4,X5)
| ~ equidistant(X1,X2,X4,X5)
| ~ equidistant(X0,X1,X3,X4)
| equidistant(X2,extension(X6,X1,X4,continuous(X3,X7,X8,X9,X10,X11)),X5,continuous(X3,X7,X8,X9,X10,X11))
| ~ equidistant(X3,X10,X3,X11)
| ~ equidistant(X3,X7,X3,X8)
| ~ between(X7,X9,X10)
| ~ equidistant(X3,X9,X0,extension(X6,X1,X4,continuous(X3,X7,X8,X9,X10,X11)))
| ~ between(X3,X7,X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f1092,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
( X0 = X1
| ~ between(X2,X3,X4)
| ~ equidistant(X1,X5,X3,X4)
| ~ equidistant(X0,X1,X2,X3)
| equidistant(X5,extension(X6,X1,X3,continuous(X2,X7,X8,continuous(X2,X9,X10,X11,X12,X13),X14,X15)),X4,continuous(X2,X7,X8,continuous(X2,X9,X10,X11,X12,X13),X14,X15))
| ~ equidistant(X2,X14,X2,X15)
| ~ equidistant(X2,X7,X2,X8)
| ~ between(X7,continuous(X2,X9,X10,X11,X12,X13),X14)
| ~ between(X0,X1,X5)
| ~ between(X2,X7,X14)
| ~ equidistant(X2,X9,X2,X10)
| ~ between(X9,X11,X12)
| ~ equidistant(X2,X11,extension(X6,X1,X3,continuous(X2,X7,X8,continuous(X2,X9,X10,X11,X12,X13),X14,X15)),X0)
| ~ between(X2,X9,X12)
| ~ equidistant(X2,X12,X2,X13) )
| ~ spl0_87
| ~ spl0_115 ),
inference(resolution,[],[f1088,f776]) ).
fof(f776,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( equidistant(X0,continuous(X0,X3,X4,X5,X1,X2),X7,X6)
| ~ equidistant(X0,X3,X0,X4)
| ~ between(X3,X5,X1)
| ~ equidistant(X0,X5,X6,X7)
| ~ between(X0,X3,X1)
| ~ equidistant(X0,X1,X0,X2) )
| ~ spl0_87 ),
inference(avatar_component_clause,[],[f775]) ).
fof(f1088,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X3,X9,X0,extension(X6,X1,X4,continuous(X3,X7,X8,X9,X10,X11)))
| X0 = X1
| ~ between(X3,X4,X5)
| ~ equidistant(X1,X2,X4,X5)
| ~ equidistant(X0,X1,X3,X4)
| equidistant(X2,extension(X6,X1,X4,continuous(X3,X7,X8,X9,X10,X11)),X5,continuous(X3,X7,X8,X9,X10,X11))
| ~ equidistant(X3,X10,X3,X11)
| ~ equidistant(X3,X7,X3,X8)
| ~ between(X7,X9,X10)
| ~ between(X0,X1,X2)
| ~ between(X3,X7,X10) )
| ~ spl0_115 ),
inference(avatar_component_clause,[],[f1087]) ).
fof(f9264,plain,
( spl0_502
| ~ spl0_89
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f1048,f1032,f811,f9262]) ).
fof(f9262,plain,
( spl0_502
<=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X5,continuous(X6,X7,X8,extension(X9,X6,X10,continuous(X0,X1,X2,X3,X4,X11)),X12,X13))
| ~ between(X0,X1,X4)
| ~ between(X10,X0,X14)
| ~ between(X6,X5,X15)
| X5 = X6
| ~ equidistant(X0,X4,X0,X11)
| ~ equidistant(X5,X15,X0,X14)
| ~ equidistant(X6,X5,X10,X0)
| equidistant(X15,continuous(X6,X7,X8,extension(X9,X6,X10,continuous(X0,X1,X2,X3,X4,X11)),X12,X13),X14,continuous(X0,X1,X2,X3,X4,X11))
| ~ between(X6,X7,X12)
| ~ equidistant(X6,X12,X6,X13)
| ~ equidistant(X6,X7,X6,X8)
| ~ between(X7,extension(X9,X6,X10,continuous(X0,X1,X2,X3,X4,X11)),X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_502])]) ).
fof(f1048,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X5,continuous(X6,X7,X8,extension(X9,X6,X10,continuous(X0,X1,X2,X3,X4,X11)),X12,X13))
| ~ between(X0,X1,X4)
| ~ between(X10,X0,X14)
| ~ between(X6,X5,X15)
| X5 = X6
| ~ equidistant(X0,X4,X0,X11)
| ~ equidistant(X5,X15,X0,X14)
| ~ equidistant(X6,X5,X10,X0)
| equidistant(X15,continuous(X6,X7,X8,extension(X9,X6,X10,continuous(X0,X1,X2,X3,X4,X11)),X12,X13),X14,continuous(X0,X1,X2,X3,X4,X11))
| ~ between(X6,X7,X12)
| ~ equidistant(X6,X12,X6,X13)
| ~ equidistant(X6,X7,X6,X8)
| ~ between(X7,extension(X9,X6,X10,continuous(X0,X1,X2,X3,X4,X11)),X12) )
| ~ spl0_89
| ~ spl0_110 ),
inference(resolution,[],[f1033,f812]) ).
fof(f9170,plain,
( spl0_501
| ~ spl0_73
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f867,f847,f606,f9168]) ).
fof(f9168,plain,
( spl0_501
<=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(extension(X0,X1,X2,X3),X4,extension(X0,X1,X2,X3),X5)
| ~ between(X4,continuous(extension(X0,X1,X2,X3),X6,X7,X1,X8,X9),X10)
| ~ equidistant(extension(X0,X1,X2,X3),X10,extension(X0,X1,X2,X3),X11)
| ~ between(extension(X0,X1,X2,X3),X4,X10)
| equidistant(extension(X0,X1,X2,X3),continuous(extension(X0,X1,X2,X3),X4,X5,continuous(extension(X0,X1,X2,X3),X6,X7,X1,X8,X9),X10,X11),X2,X3)
| ~ between(extension(X0,X1,X2,X3),X6,X8)
| ~ equidistant(extension(X0,X1,X2,X3),X8,extension(X0,X1,X2,X3),X9)
| ~ equidistant(extension(X0,X1,X2,X3),X6,extension(X0,X1,X2,X3),X7)
| ~ between(X6,X1,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_501])]) ).
fof(f867,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(extension(X0,X1,X2,X3),X4,extension(X0,X1,X2,X3),X5)
| ~ between(X4,continuous(extension(X0,X1,X2,X3),X6,X7,X1,X8,X9),X10)
| ~ equidistant(extension(X0,X1,X2,X3),X10,extension(X0,X1,X2,X3),X11)
| ~ between(extension(X0,X1,X2,X3),X4,X10)
| equidistant(extension(X0,X1,X2,X3),continuous(extension(X0,X1,X2,X3),X4,X5,continuous(extension(X0,X1,X2,X3),X6,X7,X1,X8,X9),X10,X11),X2,X3)
| ~ between(extension(X0,X1,X2,X3),X6,X8)
| ~ equidistant(extension(X0,X1,X2,X3),X8,extension(X0,X1,X2,X3),X9)
| ~ equidistant(extension(X0,X1,X2,X3),X6,extension(X0,X1,X2,X3),X7)
| ~ between(X6,X1,X8) )
| ~ spl0_73
| ~ spl0_91 ),
inference(resolution,[],[f848,f607]) ).
fof(f9166,plain,
( spl0_500
| ~ spl0_47
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f794,f775,f332,f9164]) ).
fof(f9164,plain,
( spl0_500
<=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,continuous(X5,X6,X7,continuous(X0,X1,X2,X3,X4,X8),X9,X10),X0)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X8)
| between(X0,X5,X11)
| between(X11,X0,X5)
| continuous(X0,X1,X2,X3,X4,X8) = continuous(X5,X6,X7,continuous(X0,X1,X2,X3,X4,X8),X9,X10)
| between(X5,X11,X0)
| ~ equidistant(X11,continuous(X0,X1,X2,X3,X4,X8),X11,continuous(X5,X6,X7,continuous(X0,X1,X2,X3,X4,X8),X9,X10))
| ~ between(X5,X6,X9)
| ~ equidistant(X5,X9,X5,X10)
| ~ equidistant(X5,X6,X5,X7)
| ~ between(X6,continuous(X0,X1,X2,X3,X4,X8),X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_500])]) ).
fof(f332,plain,
( spl0_47
<=> ! [X6,X4,X3,X0,X7,X5,X2,X1] :
( between(X0,X1,X2)
| between(X2,X0,X1)
| between(X1,X2,X0)
| continuous(X0,X3,X4,X5,X6,X7) = X5
| ~ equidistant(X2,X5,X2,continuous(X0,X3,X4,X5,X6,X7))
| ~ equidistant(X1,X5,X1,continuous(X0,X3,X4,X5,X6,X7))
| ~ between(X0,X3,X6)
| ~ equidistant(X0,X6,X0,X7)
| ~ equidistant(X0,X3,X0,X4)
| ~ between(X3,X5,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f794,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,continuous(X5,X6,X7,continuous(X0,X1,X2,X3,X4,X8),X9,X10),X0)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X8)
| between(X0,X5,X11)
| between(X11,X0,X5)
| continuous(X0,X1,X2,X3,X4,X8) = continuous(X5,X6,X7,continuous(X0,X1,X2,X3,X4,X8),X9,X10)
| between(X5,X11,X0)
| ~ equidistant(X11,continuous(X0,X1,X2,X3,X4,X8),X11,continuous(X5,X6,X7,continuous(X0,X1,X2,X3,X4,X8),X9,X10))
| ~ between(X5,X6,X9)
| ~ equidistant(X5,X9,X5,X10)
| ~ equidistant(X5,X6,X5,X7)
| ~ between(X6,continuous(X0,X1,X2,X3,X4,X8),X9) )
| ~ spl0_47
| ~ spl0_87 ),
inference(resolution,[],[f776,f333]) ).
fof(f333,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X2,X5,X2,continuous(X0,X3,X4,X5,X6,X7))
| between(X2,X0,X1)
| between(X1,X2,X0)
| continuous(X0,X3,X4,X5,X6,X7) = X5
| between(X0,X1,X2)
| ~ equidistant(X1,X5,X1,continuous(X0,X3,X4,X5,X6,X7))
| ~ between(X0,X3,X6)
| ~ equidistant(X0,X6,X0,X7)
| ~ equidistant(X0,X3,X0,X4)
| ~ between(X3,X5,X6) )
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f332]) ).
fof(f9151,plain,
( spl0_499
| ~ spl0_61
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f995,f984,f474,f9149]) ).
fof(f9149,plain,
( spl0_499
<=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X0,X5)
| ~ between(X0,X1,X4)
| ~ between(X0,X5,X6)
| ~ equidistant(X0,X6,X0,extension(X7,continuous(X0,X1,X2,X3,X4,X8),X9,X10))
| ~ between(X5,X11,X6)
| ~ equidistant(X0,X4,X0,X8)
| continuous(X0,X1,X2,X3,X4,X8) = inner_pasch(X7,continuous(X0,X1,X2,X3,X4,X8),extension(X7,continuous(X0,X1,X2,X3,X4,X8),X9,X10),continuous(X0,X5,continuous(X0,X1,X2,X3,X4,X8),X11,X6,extension(X7,continuous(X0,X1,X2,X3,X4,X8),X9,X10)),continuous(X0,X1,X2,X3,X4,X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_499])]) ).
fof(f474,plain,
( spl0_61
<=> ! [X4,X0,X3,X2,X1] :
( ~ between(X0,X1,extension(X2,X0,X3,X4))
| inner_pasch(X2,X0,extension(X2,X0,X3,X4),X1,X0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f995,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X0,X5)
| ~ between(X0,X1,X4)
| ~ between(X0,X5,X6)
| ~ equidistant(X0,X6,X0,extension(X7,continuous(X0,X1,X2,X3,X4,X8),X9,X10))
| ~ between(X5,X11,X6)
| ~ equidistant(X0,X4,X0,X8)
| continuous(X0,X1,X2,X3,X4,X8) = inner_pasch(X7,continuous(X0,X1,X2,X3,X4,X8),extension(X7,continuous(X0,X1,X2,X3,X4,X8),X9,X10),continuous(X0,X5,continuous(X0,X1,X2,X3,X4,X8),X11,X6,extension(X7,continuous(X0,X1,X2,X3,X4,X8),X9,X10)),continuous(X0,X1,X2,X3,X4,X8)) )
| ~ spl0_61
| ~ spl0_104 ),
inference(resolution,[],[f985,f475]) ).
fof(f475,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ between(X0,X1,extension(X2,X0,X3,X4))
| inner_pasch(X2,X0,extension(X2,X0,X3,X4),X1,X0) = X0 )
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f474]) ).
fof(f9121,plain,
( spl0_498
| ~ spl0_48
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f790,f775,f336,f9119]) ).
fof(f9119,plain,
( spl0_498
<=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,continuous(X5,X6,X7,continuous(X0,X1,X2,X3,X4,X8),X9,X10),X11)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X8)
| ~ between(X0,X5,X12)
| X0 = X5
| ~ between(X11,X5,X13)
| ~ equidistant(X5,X12,X5,X13)
| ~ equidistant(X0,X5,X11,X5)
| equidistant(X12,continuous(X0,X1,X2,X3,X4,X8),X13,continuous(X5,X6,X7,continuous(X0,X1,X2,X3,X4,X8),X9,X10))
| ~ between(X5,X6,X9)
| ~ equidistant(X5,X9,X5,X10)
| ~ equidistant(X5,X6,X5,X7)
| ~ between(X6,continuous(X0,X1,X2,X3,X4,X8),X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_498])]) ).
fof(f336,plain,
( spl0_48
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ between(X0,X1,X2)
| ~ between(X3,X1,X4)
| X1 = X3
| ~ equidistant(X3,X5,X0,continuous(X1,X6,X7,X5,X8,X9))
| ~ equidistant(X1,X4,X1,X2)
| ~ equidistant(X3,X1,X0,X1)
| equidistant(X4,X5,X2,continuous(X1,X6,X7,X5,X8,X9))
| ~ between(X1,X6,X8)
| ~ equidistant(X1,X8,X1,X9)
| ~ equidistant(X1,X6,X1,X7)
| ~ between(X6,X5,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f790,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,continuous(X5,X6,X7,continuous(X0,X1,X2,X3,X4,X8),X9,X10),X11)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X8)
| ~ between(X0,X5,X12)
| X0 = X5
| ~ between(X11,X5,X13)
| ~ equidistant(X5,X12,X5,X13)
| ~ equidistant(X0,X5,X11,X5)
| equidistant(X12,continuous(X0,X1,X2,X3,X4,X8),X13,continuous(X5,X6,X7,continuous(X0,X1,X2,X3,X4,X8),X9,X10))
| ~ between(X5,X6,X9)
| ~ equidistant(X5,X9,X5,X10)
| ~ equidistant(X5,X6,X5,X7)
| ~ between(X6,continuous(X0,X1,X2,X3,X4,X8),X9) )
| ~ spl0_48
| ~ spl0_87 ),
inference(resolution,[],[f776,f337]) ).
fof(f337,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X3,X5,X0,continuous(X1,X6,X7,X5,X8,X9))
| ~ between(X3,X1,X4)
| X1 = X3
| ~ between(X0,X1,X2)
| ~ equidistant(X1,X4,X1,X2)
| ~ equidistant(X3,X1,X0,X1)
| equidistant(X4,X5,X2,continuous(X1,X6,X7,X5,X8,X9))
| ~ between(X1,X6,X8)
| ~ equidistant(X1,X8,X1,X9)
| ~ equidistant(X1,X6,X1,X7)
| ~ between(X6,X5,X8) )
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f336]) ).
fof(f9048,plain,
( spl0_497
| ~ spl0_123
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f1283,f1265,f1170,f9046]) ).
fof(f1283,plain,
( ! [X2,X3,X0,X1] : equidistant(X0,X1,extension(X2,X3,X1,X0),X3)
| ~ spl0_123
| ~ spl0_129 ),
inference(resolution,[],[f1266,f1171]) ).
fof(f9044,plain,
( spl0_496
| ~ spl0_53
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f1091,f1087,f408,f9042]) ).
fof(f9042,plain,
( spl0_496
<=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( extension(X0,extension(X1,X2,X3,continuous(X4,X5,X6,X7,X8,X9)),X4,X7) = X2
| ~ between(X4,X3,X10)
| ~ equidistant(X2,X11,X3,X10)
| ~ equidistant(extension(X0,extension(X1,X2,X3,continuous(X4,X5,X6,X7,X8,X9)),X4,X7),X2,X4,X3)
| equidistant(X11,extension(X1,X2,X3,continuous(X4,X5,X6,X7,X8,X9)),X10,continuous(X4,X5,X6,X7,X8,X9))
| ~ equidistant(X4,X8,X4,X9)
| ~ equidistant(X4,X5,X4,X6)
| ~ between(X5,X7,X8)
| ~ between(extension(X0,extension(X1,X2,X3,continuous(X4,X5,X6,X7,X8,X9)),X4,X7),X2,X11)
| ~ between(X4,X5,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_496])]) ).
fof(f1091,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( extension(X0,extension(X1,X2,X3,continuous(X4,X5,X6,X7,X8,X9)),X4,X7) = X2
| ~ between(X4,X3,X10)
| ~ equidistant(X2,X11,X3,X10)
| ~ equidistant(extension(X0,extension(X1,X2,X3,continuous(X4,X5,X6,X7,X8,X9)),X4,X7),X2,X4,X3)
| equidistant(X11,extension(X1,X2,X3,continuous(X4,X5,X6,X7,X8,X9)),X10,continuous(X4,X5,X6,X7,X8,X9))
| ~ equidistant(X4,X8,X4,X9)
| ~ equidistant(X4,X5,X4,X6)
| ~ between(X5,X7,X8)
| ~ between(extension(X0,extension(X1,X2,X3,continuous(X4,X5,X6,X7,X8,X9)),X4,X7),X2,X11)
| ~ between(X4,X5,X8) )
| ~ spl0_53
| ~ spl0_115 ),
inference(resolution,[],[f1088,f409]) ).
fof(f9040,plain,
( spl0_495
| ~ spl0_104
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f1084,f1074,f984,f9038]) ).
fof(f9038,plain,
( spl0_495
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ between(extension(X0,X1,X1,X2),X3,X4)
| ~ between(X1,extension(X0,X1,X1,X2),X4)
| ~ equidistant(X1,X4,X1,X5)
| continuous(X1,extension(X0,X1,X1,X2),X2,X3,X4,X5) = inner_pasch(X2,continuous(X1,extension(X0,X1,X1,X2),X2,X3,X4,X5),X5,continuous(X1,X6,continuous(X1,extension(X0,X1,X1,X2),X2,X3,X4,X5),X7,X8,X5),continuous(X1,extension(X0,X1,X1,X2),X2,X3,X4,X5))
| ~ equidistant(X1,extension(X0,X1,X1,X2),X1,X2)
| ~ equidistant(X1,X3,X1,X6)
| ~ between(X1,X6,X8)
| ~ equidistant(X1,X8,X1,X5)
| ~ between(X6,X7,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_495])]) ).
fof(f1084,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ between(extension(X0,X1,X1,X2),X3,X4)
| ~ between(X1,extension(X0,X1,X1,X2),X4)
| ~ equidistant(X1,X4,X1,X5)
| continuous(X1,extension(X0,X1,X1,X2),X2,X3,X4,X5) = inner_pasch(X2,continuous(X1,extension(X0,X1,X1,X2),X2,X3,X4,X5),X5,continuous(X1,X6,continuous(X1,extension(X0,X1,X1,X2),X2,X3,X4,X5),X7,X8,X5),continuous(X1,extension(X0,X1,X1,X2),X2,X3,X4,X5))
| ~ equidistant(X1,extension(X0,X1,X1,X2),X1,X2)
| ~ equidistant(X1,X3,X1,X6)
| ~ between(X1,X6,X8)
| ~ equidistant(X1,X8,X1,X5)
| ~ between(X6,X7,X8) )
| ~ spl0_104
| ~ spl0_114 ),
inference(duplicate_literal_removal,[],[f1078]) ).
fof(f1078,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ between(extension(X0,X1,X1,X2),X3,X4)
| ~ between(X1,extension(X0,X1,X1,X2),X4)
| ~ equidistant(X1,X4,X1,X5)
| continuous(X1,extension(X0,X1,X1,X2),X2,X3,X4,X5) = inner_pasch(X2,continuous(X1,extension(X0,X1,X1,X2),X2,X3,X4,X5),X5,continuous(X1,X6,continuous(X1,extension(X0,X1,X1,X2),X2,X3,X4,X5),X7,X8,X5),continuous(X1,extension(X0,X1,X1,X2),X2,X3,X4,X5))
| ~ equidistant(X1,extension(X0,X1,X1,X2),X1,X2)
| ~ between(extension(X0,X1,X1,X2),X3,X4)
| ~ equidistant(X1,X3,X1,X6)
| ~ between(X1,extension(X0,X1,X1,X2),X4)
| ~ between(X1,X6,X8)
| ~ equidistant(X1,X8,X1,X5)
| ~ between(X6,X7,X8)
| ~ equidistant(X1,X4,X1,X5) )
| ~ spl0_104
| ~ spl0_114 ),
inference(resolution,[],[f1075,f985]) ).
fof(f9036,plain,
( spl0_494
| ~ spl0_87
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f1060,f1036,f775,f9034]) ).
fof(f9034,plain,
( spl0_494
<=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X0,continuous(X5,X6,X7,X8,X9,X10))
| ~ between(X0,X1,X4)
| between(X0,X11,X5)
| between(X5,X0,X11)
| between(X11,X5,X0)
| continuous(X5,X6,X7,X8,X9,X10) = continuous(X0,X1,X2,X3,X4,X12)
| ~ equidistant(X0,X4,X0,X12)
| ~ equidistant(X11,continuous(X5,X6,X7,X8,X9,X10),X11,continuous(X0,X1,X2,X3,X4,X12))
| ~ equidistant(X5,X6,X5,X7)
| ~ between(X6,X8,X9)
| ~ equidistant(X5,X8,continuous(X0,X1,X2,X3,X4,X12),X5)
| ~ between(X5,X6,X9)
| ~ equidistant(X5,X9,X5,X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_494])]) ).
fof(f1060,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X0,continuous(X5,X6,X7,X8,X9,X10))
| ~ between(X0,X1,X4)
| between(X0,X11,X5)
| between(X5,X0,X11)
| between(X11,X5,X0)
| continuous(X5,X6,X7,X8,X9,X10) = continuous(X0,X1,X2,X3,X4,X12)
| ~ equidistant(X0,X4,X0,X12)
| ~ equidistant(X11,continuous(X5,X6,X7,X8,X9,X10),X11,continuous(X0,X1,X2,X3,X4,X12))
| ~ equidistant(X5,X6,X5,X7)
| ~ between(X6,X8,X9)
| ~ equidistant(X5,X8,continuous(X0,X1,X2,X3,X4,X12),X5)
| ~ between(X5,X6,X9)
| ~ equidistant(X5,X9,X5,X10) )
| ~ spl0_87
| ~ spl0_111 ),
inference(resolution,[],[f1037,f776]) ).
fof(f9032,plain,
( spl0_493
| ~ spl0_30
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f994,f984,f190,f9030]) ).
fof(f9030,plain,
( spl0_493
<=> ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X0,X5)
| ~ between(X0,X1,X4)
| ~ between(X0,X5,X6)
| ~ equidistant(X0,X6,X0,X7)
| ~ between(X5,X8,X6)
| ~ equidistant(X0,X4,X0,X9)
| ~ between(continuous(X0,X5,continuous(X0,X1,X2,X3,X4,X9),X8,X6,X7),X10,X7)
| continuous(X0,X5,continuous(X0,X1,X2,X3,X4,X9),X8,X6,X7) = inner_pasch(continuous(X0,X1,X2,X3,X4,X9),continuous(X0,X5,continuous(X0,X1,X2,X3,X4,X9),X8,X6,X7),X7,X10,continuous(X0,X5,continuous(X0,X1,X2,X3,X4,X9),X8,X6,X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_493])]) ).
fof(f994,plain,
( ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X0,X5)
| ~ between(X0,X1,X4)
| ~ between(X0,X5,X6)
| ~ equidistant(X0,X6,X0,X7)
| ~ between(X5,X8,X6)
| ~ equidistant(X0,X4,X0,X9)
| ~ between(continuous(X0,X5,continuous(X0,X1,X2,X3,X4,X9),X8,X6,X7),X10,X7)
| continuous(X0,X5,continuous(X0,X1,X2,X3,X4,X9),X8,X6,X7) = inner_pasch(continuous(X0,X1,X2,X3,X4,X9),continuous(X0,X5,continuous(X0,X1,X2,X3,X4,X9),X8,X6,X7),X7,X10,continuous(X0,X5,continuous(X0,X1,X2,X3,X4,X9),X8,X6,X7)) )
| ~ spl0_30
| ~ spl0_104 ),
inference(resolution,[],[f985,f191]) ).
fof(f9003,plain,
( spl0_492
| ~ spl0_87
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1028,f1020,f775,f9001]) ).
fof(f9001,plain,
( spl0_492
<=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ between(X0,X3,continuous(X0,X5,X6,X7,X8,X9))
| ~ equidistant(X0,X4,X0,X10)
| ~ between(X3,X11,continuous(X0,X5,X6,X7,X8,X9))
| ~ between(X0,X1,X4)
| continuous(X0,X1,X2,X3,X4,X10) = continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X10),X11,continuous(X0,X5,X6,X7,X8,X9),continuous(X0,X1,X2,X3,X4,X10))
| ~ equidistant(X0,X5,X0,X6)
| ~ between(X5,X7,X8)
| ~ equidistant(X0,X7,continuous(X0,X1,X2,X3,X4,X10),X0)
| ~ between(X0,X5,X8)
| ~ equidistant(X0,X8,X0,X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_492])]) ).
fof(f1028,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ between(X0,X3,continuous(X0,X5,X6,X7,X8,X9))
| ~ equidistant(X0,X4,X0,X10)
| ~ between(X3,X11,continuous(X0,X5,X6,X7,X8,X9))
| ~ between(X0,X1,X4)
| continuous(X0,X1,X2,X3,X4,X10) = continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X10),X11,continuous(X0,X5,X6,X7,X8,X9),continuous(X0,X1,X2,X3,X4,X10))
| ~ equidistant(X0,X5,X0,X6)
| ~ between(X5,X7,X8)
| ~ equidistant(X0,X7,continuous(X0,X1,X2,X3,X4,X10),X0)
| ~ between(X0,X5,X8)
| ~ equidistant(X0,X8,X0,X9) )
| ~ spl0_87
| ~ spl0_109 ),
inference(resolution,[],[f1021,f776]) ).
fof(f8977,plain,
( spl0_491
| ~ spl0_12
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f1100,f1095,f77,f8975]) ).
fof(f8975,plain,
( spl0_491
<=> ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ between(X0,X3,X5)
| ~ equidistant(X0,X5,X0,extension(X6,continuous(X0,X1,X2,X3,X4,X7),X8,X9))
| ~ between(X3,X10,X5)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X7)
| continuous(X0,X1,X2,X3,X4,X7) = inner_pasch(continuous(X0,X1,X2,X3,X4,X7),continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X7),X10,X5,extension(X6,continuous(X0,X1,X2,X3,X4,X7),X8,X9)),extension(X6,continuous(X0,X1,X2,X3,X4,X7),X8,X9),continuous(X0,X1,X2,X3,X4,X7),X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_491])]) ).
fof(f1100,plain,
( ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ between(X0,X3,X5)
| ~ equidistant(X0,X5,X0,extension(X6,continuous(X0,X1,X2,X3,X4,X7),X8,X9))
| ~ between(X3,X10,X5)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X7)
| continuous(X0,X1,X2,X3,X4,X7) = inner_pasch(continuous(X0,X1,X2,X3,X4,X7),continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X7),X10,X5,extension(X6,continuous(X0,X1,X2,X3,X4,X7),X8,X9)),extension(X6,continuous(X0,X1,X2,X3,X4,X7),X8,X9),continuous(X0,X1,X2,X3,X4,X7),X6) )
| ~ spl0_12
| ~ spl0_116 ),
inference(resolution,[],[f1096,f78]) ).
fof(f8973,plain,
( spl0_490
| ~ spl0_45
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f486,f474,f320,f8971]) ).
fof(f8971,plain,
( spl0_490
<=> ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( continuous(X1,X2,X3,X4,X5,X6) = inner_pasch(X0,continuous(X1,X2,X3,X4,X5,X6),extension(X0,continuous(X1,X2,X3,X4,X5,X6),X7,X8),continuous(X1,X4,continuous(X1,X2,X3,X4,X5,X6),X9,X10,extension(X0,continuous(X1,X2,X3,X4,X5,X6),X7,X8)),continuous(X1,X2,X3,X4,X5,X6))
| ~ equidistant(X1,X5,X1,X6)
| ~ equidistant(X1,X2,X1,X3)
| ~ between(X2,X4,X5)
| ~ between(X1,X4,X10)
| ~ equidistant(X1,X10,X1,extension(X0,continuous(X1,X2,X3,X4,X5,X6),X7,X8))
| ~ between(X4,X9,X10)
| ~ between(X1,X2,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_490])]) ).
fof(f486,plain,
( ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( continuous(X1,X2,X3,X4,X5,X6) = inner_pasch(X0,continuous(X1,X2,X3,X4,X5,X6),extension(X0,continuous(X1,X2,X3,X4,X5,X6),X7,X8),continuous(X1,X4,continuous(X1,X2,X3,X4,X5,X6),X9,X10,extension(X0,continuous(X1,X2,X3,X4,X5,X6),X7,X8)),continuous(X1,X2,X3,X4,X5,X6))
| ~ equidistant(X1,X5,X1,X6)
| ~ equidistant(X1,X2,X1,X3)
| ~ between(X2,X4,X5)
| ~ between(X1,X4,X10)
| ~ equidistant(X1,X10,X1,extension(X0,continuous(X1,X2,X3,X4,X5,X6),X7,X8))
| ~ between(X4,X9,X10)
| ~ between(X1,X2,X5) )
| ~ spl0_45
| ~ spl0_61 ),
inference(resolution,[],[f475,f321]) ).
fof(f8969,plain,
( spl0_489
| ~ spl0_27
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f1201,f1174,f169,f8967]) ).
fof(f8967,plain,
( spl0_489
<=> ! [X0,X3,X2,X1] : equidistant(X0,extension(X1,X0,X2,X3),X3,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_489])]) ).
fof(f1201,plain,
( ! [X2,X3,X0,X1] : equidistant(X0,extension(X1,X0,X2,X3),X3,X2)
| ~ spl0_27
| ~ spl0_124 ),
inference(resolution,[],[f1175,f170]) ).
fof(f8953,plain,
( spl0_488
| ~ spl0_42
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f1112,f1095,f296,f8951]) ).
fof(f8951,plain,
( spl0_488
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ equidistant(X0,extension(X1,X0,X0,X2),X0,X2)
| ~ between(extension(X1,X0,X0,X2),X3,X4)
| ~ between(X0,X3,X5)
| ~ equidistant(X0,X5,X0,X6)
| ~ between(X3,X7,X5)
| ~ between(X0,extension(X1,X0,X0,X2),X4)
| ~ equidistant(X0,X4,X0,X6)
| continuous(X0,extension(X1,X0,X0,X2),X2,X3,X4,X6) = inner_pasch(continuous(X0,extension(X1,X0,X0,X2),X2,X3,X4,X6),continuous(X0,X3,continuous(X0,extension(X1,X0,X0,X2),X2,X3,X4,X6),X7,X5,X6),X6,continuous(X0,extension(X1,X0,X0,X2),X2,X3,X4,X6),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_488])]) ).
fof(f1112,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,extension(X1,X0,X0,X2),X0,X2)
| ~ between(extension(X1,X0,X0,X2),X3,X4)
| ~ between(X0,X3,X5)
| ~ equidistant(X0,X5,X0,X6)
| ~ between(X3,X7,X5)
| ~ between(X0,extension(X1,X0,X0,X2),X4)
| ~ equidistant(X0,X4,X0,X6)
| continuous(X0,extension(X1,X0,X0,X2),X2,X3,X4,X6) = inner_pasch(continuous(X0,extension(X1,X0,X0,X2),X2,X3,X4,X6),continuous(X0,X3,continuous(X0,extension(X1,X0,X0,X2),X2,X3,X4,X6),X7,X5,X6),X6,continuous(X0,extension(X1,X0,X0,X2),X2,X3,X4,X6),X2) )
| ~ spl0_42
| ~ spl0_116 ),
inference(duplicate_literal_removal,[],[f1098]) ).
fof(f1098,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,extension(X1,X0,X0,X2),X0,X2)
| ~ between(extension(X1,X0,X0,X2),X3,X4)
| ~ between(X0,X3,X5)
| ~ equidistant(X0,X5,X0,X6)
| ~ between(X3,X7,X5)
| ~ between(X0,extension(X1,X0,X0,X2),X4)
| ~ equidistant(X0,X4,X0,X6)
| continuous(X0,extension(X1,X0,X0,X2),X2,X3,X4,X6) = inner_pasch(continuous(X0,extension(X1,X0,X0,X2),X2,X3,X4,X6),continuous(X0,X3,continuous(X0,extension(X1,X0,X0,X2),X2,X3,X4,X6),X7,X5,X6),X6,continuous(X0,extension(X1,X0,X0,X2),X2,X3,X4,X6),X2)
| ~ equidistant(X0,X4,X0,X6)
| ~ between(extension(X1,X0,X0,X2),X3,X4)
| ~ between(X0,extension(X1,X0,X0,X2),X4) )
| ~ spl0_42
| ~ spl0_116 ),
inference(resolution,[],[f1096,f297]) ).
fof(f8949,plain,
( spl0_487
| ~ spl0_45
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f1085,f1074,f320,f8947]) ).
fof(f8947,plain,
( spl0_487
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ between(extension(X0,X1,X1,X2),X3,X4)
| ~ between(X1,extension(X0,X1,X1,X2),X4)
| ~ equidistant(X1,X4,X1,X5)
| continuous(X1,extension(X0,X1,X1,X2),X2,X3,X4,X5) = inner_pasch(X2,continuous(X1,extension(X0,X1,X1,X2),X2,X3,X4,X5),X5,continuous(X1,X3,continuous(X1,extension(X0,X1,X1,X2),X2,X3,X4,X5),X6,X7,X5),continuous(X1,extension(X0,X1,X1,X2),X2,X3,X4,X5))
| ~ equidistant(X1,extension(X0,X1,X1,X2),X1,X2)
| ~ between(X1,X3,X7)
| ~ equidistant(X1,X7,X1,X5)
| ~ between(X3,X6,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_487])]) ).
fof(f1085,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ between(extension(X0,X1,X1,X2),X3,X4)
| ~ between(X1,extension(X0,X1,X1,X2),X4)
| ~ equidistant(X1,X4,X1,X5)
| continuous(X1,extension(X0,X1,X1,X2),X2,X3,X4,X5) = inner_pasch(X2,continuous(X1,extension(X0,X1,X1,X2),X2,X3,X4,X5),X5,continuous(X1,X3,continuous(X1,extension(X0,X1,X1,X2),X2,X3,X4,X5),X6,X7,X5),continuous(X1,extension(X0,X1,X1,X2),X2,X3,X4,X5))
| ~ equidistant(X1,extension(X0,X1,X1,X2),X1,X2)
| ~ between(X1,X3,X7)
| ~ equidistant(X1,X7,X1,X5)
| ~ between(X3,X6,X7) )
| ~ spl0_45
| ~ spl0_114 ),
inference(duplicate_literal_removal,[],[f1077]) ).
fof(f1077,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ between(extension(X0,X1,X1,X2),X3,X4)
| ~ between(X1,extension(X0,X1,X1,X2),X4)
| ~ equidistant(X1,X4,X1,X5)
| continuous(X1,extension(X0,X1,X1,X2),X2,X3,X4,X5) = inner_pasch(X2,continuous(X1,extension(X0,X1,X1,X2),X2,X3,X4,X5),X5,continuous(X1,X3,continuous(X1,extension(X0,X1,X1,X2),X2,X3,X4,X5),X6,X7,X5),continuous(X1,extension(X0,X1,X1,X2),X2,X3,X4,X5))
| ~ equidistant(X1,X4,X1,X5)
| ~ equidistant(X1,extension(X0,X1,X1,X2),X1,X2)
| ~ between(extension(X0,X1,X1,X2),X3,X4)
| ~ between(X1,X3,X7)
| ~ equidistant(X1,X7,X1,X5)
| ~ between(X3,X6,X7)
| ~ between(X1,extension(X0,X1,X1,X2),X4) )
| ~ spl0_45
| ~ spl0_114 ),
inference(resolution,[],[f1075,f321]) ).
fof(f8898,plain,
( spl0_486
| ~ spl0_87
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f1049,f1032,f775,f8896]) ).
fof(f8896,plain,
( spl0_486
<=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X5,continuous(X6,X7,X8,X9,X10,X11))
| ~ between(X0,X1,X4)
| ~ between(X12,X0,X13)
| ~ between(X6,X5,X14)
| X5 = X6
| ~ equidistant(X0,X4,X0,X15)
| ~ equidistant(X5,X14,X0,X13)
| ~ equidistant(X6,X5,X12,X0)
| equidistant(X14,continuous(X6,X7,X8,X9,X10,X11),X13,continuous(X0,X1,X2,X3,X4,X15))
| ~ equidistant(X6,X7,X6,X8)
| ~ between(X7,X9,X10)
| ~ equidistant(X6,X9,continuous(X0,X1,X2,X3,X4,X15),X12)
| ~ between(X6,X7,X10)
| ~ equidistant(X6,X10,X6,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_486])]) ).
fof(f1049,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X5,continuous(X6,X7,X8,X9,X10,X11))
| ~ between(X0,X1,X4)
| ~ between(X12,X0,X13)
| ~ between(X6,X5,X14)
| X5 = X6
| ~ equidistant(X0,X4,X0,X15)
| ~ equidistant(X5,X14,X0,X13)
| ~ equidistant(X6,X5,X12,X0)
| equidistant(X14,continuous(X6,X7,X8,X9,X10,X11),X13,continuous(X0,X1,X2,X3,X4,X15))
| ~ equidistant(X6,X7,X6,X8)
| ~ between(X7,X9,X10)
| ~ equidistant(X6,X9,continuous(X0,X1,X2,X3,X4,X15),X12)
| ~ between(X6,X7,X10)
| ~ equidistant(X6,X10,X6,X11) )
| ~ spl0_87
| ~ spl0_110 ),
inference(resolution,[],[f1033,f776]) ).
fof(f8883,plain,
( spl0_485
| ~ spl0_42
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f964,f957,f296,f8881]) ).
fof(f8881,plain,
( spl0_485
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ between(X0,X1,X2)
| ~ between(X0,X0,X2)
| ~ equidistant(X0,X2,X0,X3)
| continuous(X0,X0,X0,X1,X2,X3) = inner_pasch(X0,continuous(X0,X0,X0,X1,X2,X3),X3,continuous(X4,extension(X5,X4,X4,continuous(X0,X0,X0,X1,X2,X3)),continuous(X0,X0,X0,X1,X2,X3),X6,X7,X3),continuous(X0,X0,X0,X1,X2,X3))
| ~ equidistant(X4,X7,X4,X3)
| ~ between(extension(X5,X4,X4,continuous(X0,X0,X0,X1,X2,X3)),X6,X7)
| ~ between(X4,extension(X5,X4,X4,continuous(X0,X0,X0,X1,X2,X3)),X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_485])]) ).
fof(f957,plain,
( spl0_99
<=> ! [X4,X0,X3,X2,X1] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X0,X3,X1)
| ~ between(X0,X0,X1)
| ~ between(continuous(X0,X0,X0,X3,X1,X2),X4,X2)
| continuous(X0,X0,X0,X3,X1,X2) = inner_pasch(X0,continuous(X0,X0,X0,X3,X1,X2),X2,X4,continuous(X0,X0,X0,X3,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f964,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ between(X0,X1,X2)
| ~ between(X0,X0,X2)
| ~ equidistant(X0,X2,X0,X3)
| continuous(X0,X0,X0,X1,X2,X3) = inner_pasch(X0,continuous(X0,X0,X0,X1,X2,X3),X3,continuous(X4,extension(X5,X4,X4,continuous(X0,X0,X0,X1,X2,X3)),continuous(X0,X0,X0,X1,X2,X3),X6,X7,X3),continuous(X0,X0,X0,X1,X2,X3))
| ~ equidistant(X4,X7,X4,X3)
| ~ between(extension(X5,X4,X4,continuous(X0,X0,X0,X1,X2,X3)),X6,X7)
| ~ between(X4,extension(X5,X4,X4,continuous(X0,X0,X0,X1,X2,X3)),X7) )
| ~ spl0_42
| ~ spl0_99 ),
inference(resolution,[],[f958,f297]) ).
fof(f958,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ between(continuous(X0,X0,X0,X3,X1,X2),X4,X2)
| ~ between(X0,X3,X1)
| ~ between(X0,X0,X1)
| ~ equidistant(X0,X1,X0,X2)
| continuous(X0,X0,X0,X3,X1,X2) = inner_pasch(X0,continuous(X0,X0,X0,X3,X1,X2),X2,X4,continuous(X0,X0,X0,X3,X1,X2)) )
| ~ spl0_99 ),
inference(avatar_component_clause,[],[f957]) ).
fof(f8855,plain,
( spl0_484
| ~ spl0_27
| ~ spl0_123 ),
inference(avatar_split_clause,[],[f1181,f1170,f169,f8853]) ).
fof(f1181,plain,
( ! [X2,X3,X0,X1] : equidistant(X0,X1,X2,extension(X3,X2,X1,X0))
| ~ spl0_27
| ~ spl0_123 ),
inference(resolution,[],[f1171,f170]) ).
fof(f8851,plain,
( spl0_483
| ~ spl0_42
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f954,f941,f296,f8849]) ).
fof(f8849,plain,
( spl0_483
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ between(w,X0,X1)
| ~ between(v,w,X1)
| ~ equidistant(v,X1,v,X2)
| continuous(v,w,w1,X0,X1,X2) = inner_pasch(w1,continuous(v,w,w1,X0,X1,X2),X2,continuous(X3,extension(X4,X3,X3,continuous(v,w,w1,X0,X1,X2)),continuous(v,w,w1,X0,X1,X2),X5,X6,X2),continuous(v,w,w1,X0,X1,X2))
| ~ equidistant(X3,X6,X3,X2)
| ~ between(extension(X4,X3,X3,continuous(v,w,w1,X0,X1,X2)),X5,X6)
| ~ between(X3,extension(X4,X3,X3,continuous(v,w,w1,X0,X1,X2)),X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_483])]) ).
fof(f941,plain,
( spl0_98
<=> ! [X0,X3,X2,X1] :
( ~ equidistant(v,X0,v,X1)
| ~ between(w,X2,X0)
| ~ between(v,w,X0)
| ~ between(continuous(v,w,w1,X2,X0,X1),X3,X1)
| continuous(v,w,w1,X2,X0,X1) = inner_pasch(w1,continuous(v,w,w1,X2,X0,X1),X1,X3,continuous(v,w,w1,X2,X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f954,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ between(w,X0,X1)
| ~ between(v,w,X1)
| ~ equidistant(v,X1,v,X2)
| continuous(v,w,w1,X0,X1,X2) = inner_pasch(w1,continuous(v,w,w1,X0,X1,X2),X2,continuous(X3,extension(X4,X3,X3,continuous(v,w,w1,X0,X1,X2)),continuous(v,w,w1,X0,X1,X2),X5,X6,X2),continuous(v,w,w1,X0,X1,X2))
| ~ equidistant(X3,X6,X3,X2)
| ~ between(extension(X4,X3,X3,continuous(v,w,w1,X0,X1,X2)),X5,X6)
| ~ between(X3,extension(X4,X3,X3,continuous(v,w,w1,X0,X1,X2)),X6) )
| ~ spl0_42
| ~ spl0_98 ),
inference(resolution,[],[f942,f297]) ).
fof(f942,plain,
( ! [X2,X3,X0,X1] :
( ~ between(continuous(v,w,w1,X2,X0,X1),X3,X1)
| ~ between(w,X2,X0)
| ~ between(v,w,X0)
| ~ equidistant(v,X0,v,X1)
| continuous(v,w,w1,X2,X0,X1) = inner_pasch(w1,continuous(v,w,w1,X2,X0,X1),X1,X3,continuous(v,w,w1,X2,X0,X1)) )
| ~ spl0_98 ),
inference(avatar_component_clause,[],[f941]) ).
fof(f8847,plain,
( spl0_482
| ~ spl0_42
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f948,f937,f296,f8845]) ).
fof(f8845,plain,
( spl0_482
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ between(w,X0,X1)
| ~ between(u,w,X1)
| ~ equidistant(u,X1,u,X2)
| continuous(u,w,w1,X0,X1,X2) = inner_pasch(w1,continuous(u,w,w1,X0,X1,X2),X2,continuous(X3,extension(X4,X3,X3,continuous(u,w,w1,X0,X1,X2)),continuous(u,w,w1,X0,X1,X2),X5,X6,X2),continuous(u,w,w1,X0,X1,X2))
| ~ equidistant(X3,X6,X3,X2)
| ~ between(extension(X4,X3,X3,continuous(u,w,w1,X0,X1,X2)),X5,X6)
| ~ between(X3,extension(X4,X3,X3,continuous(u,w,w1,X0,X1,X2)),X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_482])]) ).
fof(f937,plain,
( spl0_97
<=> ! [X0,X3,X2,X1] :
( ~ equidistant(u,X0,u,X1)
| ~ between(w,X2,X0)
| ~ between(u,w,X0)
| ~ between(continuous(u,w,w1,X2,X0,X1),X3,X1)
| continuous(u,w,w1,X2,X0,X1) = inner_pasch(w1,continuous(u,w,w1,X2,X0,X1),X1,X3,continuous(u,w,w1,X2,X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f948,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ between(w,X0,X1)
| ~ between(u,w,X1)
| ~ equidistant(u,X1,u,X2)
| continuous(u,w,w1,X0,X1,X2) = inner_pasch(w1,continuous(u,w,w1,X0,X1,X2),X2,continuous(X3,extension(X4,X3,X3,continuous(u,w,w1,X0,X1,X2)),continuous(u,w,w1,X0,X1,X2),X5,X6,X2),continuous(u,w,w1,X0,X1,X2))
| ~ equidistant(X3,X6,X3,X2)
| ~ between(extension(X4,X3,X3,continuous(u,w,w1,X0,X1,X2)),X5,X6)
| ~ between(X3,extension(X4,X3,X3,continuous(u,w,w1,X0,X1,X2)),X6) )
| ~ spl0_42
| ~ spl0_97 ),
inference(resolution,[],[f938,f297]) ).
fof(f938,plain,
( ! [X2,X3,X0,X1] :
( ~ between(continuous(u,w,w1,X2,X0,X1),X3,X1)
| ~ between(w,X2,X0)
| ~ between(u,w,X0)
| ~ equidistant(u,X0,u,X1)
| continuous(u,w,w1,X2,X0,X1) = inner_pasch(w1,continuous(u,w,w1,X2,X0,X1),X1,X3,continuous(u,w,w1,X2,X0,X1)) )
| ~ spl0_97 ),
inference(avatar_component_clause,[],[f937]) ).
fof(f8797,plain,
( spl0_481
| ~ spl0_16
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f1081,f1074,f99,f8795]) ).
fof(f8795,plain,
( spl0_481
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ between(extension(X0,X1,X1,X2),X3,X4)
| ~ between(X1,extension(X0,X1,X1,X2),X4)
| ~ equidistant(X1,X4,X1,X5)
| continuous(X1,extension(X0,X1,X1,X2),X2,X3,X4,X5) = inner_pasch(X2,continuous(X1,extension(X0,X1,X1,X2),X2,X3,X4,X5),X5,inner_pasch(X5,X6,X7,continuous(X1,extension(X0,X1,X1,X2),X2,X3,X4,X5),X8),continuous(X1,extension(X0,X1,X1,X2),X2,X3,X4,X5))
| ~ between(X8,continuous(X1,extension(X0,X1,X1,X2),X2,X3,X4,X5),X7)
| ~ between(X5,X6,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_481])]) ).
fof(f1081,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ between(extension(X0,X1,X1,X2),X3,X4)
| ~ between(X1,extension(X0,X1,X1,X2),X4)
| ~ equidistant(X1,X4,X1,X5)
| continuous(X1,extension(X0,X1,X1,X2),X2,X3,X4,X5) = inner_pasch(X2,continuous(X1,extension(X0,X1,X1,X2),X2,X3,X4,X5),X5,inner_pasch(X5,X6,X7,continuous(X1,extension(X0,X1,X1,X2),X2,X3,X4,X5),X8),continuous(X1,extension(X0,X1,X1,X2),X2,X3,X4,X5))
| ~ between(X8,continuous(X1,extension(X0,X1,X1,X2),X2,X3,X4,X5),X7)
| ~ between(X5,X6,X7) )
| ~ spl0_16
| ~ spl0_114 ),
inference(resolution,[],[f1075,f100]) ).
fof(f8793,plain,
( spl0_480
| ~ spl0_15
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f1080,f1074,f95,f8791]) ).
fof(f8791,plain,
( spl0_480
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ between(extension(X0,X1,X1,X2),X3,X4)
| ~ between(X1,extension(X0,X1,X1,X2),X4)
| ~ equidistant(X1,X4,X1,X5)
| continuous(X1,extension(X0,X1,X1,X2),X2,X3,X4,X5) = inner_pasch(X2,continuous(X1,extension(X0,X1,X1,X2),X2,X3,X4,X5),X5,inner_pasch(X6,continuous(X1,extension(X0,X1,X1,X2),X2,X3,X4,X5),X7,X8,X5),continuous(X1,extension(X0,X1,X1,X2),X2,X3,X4,X5))
| ~ between(X5,X8,X7)
| ~ between(X6,continuous(X1,extension(X0,X1,X1,X2),X2,X3,X4,X5),X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_480])]) ).
fof(f1080,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ between(extension(X0,X1,X1,X2),X3,X4)
| ~ between(X1,extension(X0,X1,X1,X2),X4)
| ~ equidistant(X1,X4,X1,X5)
| continuous(X1,extension(X0,X1,X1,X2),X2,X3,X4,X5) = inner_pasch(X2,continuous(X1,extension(X0,X1,X1,X2),X2,X3,X4,X5),X5,inner_pasch(X6,continuous(X1,extension(X0,X1,X1,X2),X2,X3,X4,X5),X7,X8,X5),continuous(X1,extension(X0,X1,X1,X2),X2,X3,X4,X5))
| ~ between(X5,X8,X7)
| ~ between(X6,continuous(X1,extension(X0,X1,X1,X2),X2,X3,X4,X5),X7) )
| ~ spl0_15
| ~ spl0_114 ),
inference(resolution,[],[f1075,f96]) ).
fof(f8789,plain,
( spl0_479
| ~ spl0_87
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f872,f851,f775,f8787]) ).
fof(f8787,plain,
( spl0_479
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( continuous(X0,X1,X2,X3,X4,X5) = X0
| ~ between(extension(X6,continuous(X0,X1,X2,X3,X4,X5),X7,X0),X7,X8)
| ~ equidistant(continuous(X0,X1,X2,X3,X4,X5),X9,X7,X8)
| ~ between(X0,continuous(X0,X1,X2,X3,X4,X5),X9)
| equidistant(X9,extension(X6,continuous(X0,X1,X2,X3,X4,X5),X7,X0),X8,X0)
| ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X7,extension(X6,continuous(X0,X1,X2,X3,X4,X5),X7,X0))
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_479])]) ).
fof(f851,plain,
( spl0_92
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ between(X0,X1,X2)
| X0 = X1
| ~ between(extension(X3,X1,X4,X0),X4,X5)
| ~ equidistant(X1,X2,X4,X5)
| ~ equidistant(X0,X1,extension(X3,X1,X4,X0),X4)
| equidistant(X2,extension(X3,X1,X4,X0),X5,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f872,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( continuous(X0,X1,X2,X3,X4,X5) = X0
| ~ between(extension(X6,continuous(X0,X1,X2,X3,X4,X5),X7,X0),X7,X8)
| ~ equidistant(continuous(X0,X1,X2,X3,X4,X5),X9,X7,X8)
| ~ between(X0,continuous(X0,X1,X2,X3,X4,X5),X9)
| equidistant(X9,extension(X6,continuous(X0,X1,X2,X3,X4,X5),X7,X0),X8,X0)
| ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X7,extension(X6,continuous(X0,X1,X2,X3,X4,X5),X7,X0))
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X5) )
| ~ spl0_87
| ~ spl0_92 ),
inference(resolution,[],[f852,f776]) ).
fof(f852,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,extension(X3,X1,X4,X0),X4)
| X0 = X1
| ~ between(extension(X3,X1,X4,X0),X4,X5)
| ~ equidistant(X1,X2,X4,X5)
| ~ between(X0,X1,X2)
| equidistant(X2,extension(X3,X1,X4,X0),X5,X0) )
| ~ spl0_92 ),
inference(avatar_component_clause,[],[f851]) ).
fof(f8581,plain,
( spl0_478
| ~ spl0_42
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f553,f527,f296,f8579]) ).
fof(f8579,plain,
( spl0_478
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( continuous(X0,extension(X1,X0,X0,X2),X2,X3,X4,X5) = inner_pasch(continuous(X0,extension(X1,X0,X0,X2),X2,X3,X4,X5),inner_pasch(X6,X7,X5,continuous(X0,extension(X1,X0,X0,X2),X2,X3,X4,X5),X2),X6,continuous(X0,extension(X1,X0,X0,X2),X2,X3,X4,X5),X8)
| ~ between(X8,continuous(X0,extension(X1,X0,X0,X2),X2,X3,X4,X5),X6)
| ~ between(X6,X7,X5)
| ~ equidistant(X0,X4,X0,X5)
| ~ between(extension(X1,X0,X0,X2),X3,X4)
| ~ between(X0,extension(X1,X0,X0,X2),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_478])]) ).
fof(f553,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( continuous(X0,extension(X1,X0,X0,X2),X2,X3,X4,X5) = inner_pasch(continuous(X0,extension(X1,X0,X0,X2),X2,X3,X4,X5),inner_pasch(X6,X7,X5,continuous(X0,extension(X1,X0,X0,X2),X2,X3,X4,X5),X2),X6,continuous(X0,extension(X1,X0,X0,X2),X2,X3,X4,X5),X8)
| ~ between(X8,continuous(X0,extension(X1,X0,X0,X2),X2,X3,X4,X5),X6)
| ~ between(X6,X7,X5)
| ~ equidistant(X0,X4,X0,X5)
| ~ between(extension(X1,X0,X0,X2),X3,X4)
| ~ between(X0,extension(X1,X0,X0,X2),X4) )
| ~ spl0_42
| ~ spl0_68 ),
inference(resolution,[],[f528,f297]) ).
fof(f8577,plain,
( spl0_477
| ~ spl0_42
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f536,f523,f296,f8575]) ).
fof(f8575,plain,
( spl0_477
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( continuous(X0,extension(X1,X0,X0,X2),X2,X3,X4,X5) = inner_pasch(continuous(X0,extension(X1,X0,X0,X2),X2,X3,X4,X5),inner_pasch(X2,continuous(X0,extension(X1,X0,X0,X2),X2,X3,X4,X5),X5,X6,X7),X7,continuous(X0,extension(X1,X0,X0,X2),X2,X3,X4,X5),X8)
| ~ between(X7,X6,X5)
| ~ between(X8,continuous(X0,extension(X1,X0,X0,X2),X2,X3,X4,X5),X7)
| ~ equidistant(X0,X4,X0,X5)
| ~ between(extension(X1,X0,X0,X2),X3,X4)
| ~ between(X0,extension(X1,X0,X0,X2),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_477])]) ).
fof(f536,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( continuous(X0,extension(X1,X0,X0,X2),X2,X3,X4,X5) = inner_pasch(continuous(X0,extension(X1,X0,X0,X2),X2,X3,X4,X5),inner_pasch(X2,continuous(X0,extension(X1,X0,X0,X2),X2,X3,X4,X5),X5,X6,X7),X7,continuous(X0,extension(X1,X0,X0,X2),X2,X3,X4,X5),X8)
| ~ between(X7,X6,X5)
| ~ between(X8,continuous(X0,extension(X1,X0,X0,X2),X2,X3,X4,X5),X7)
| ~ equidistant(X0,X4,X0,X5)
| ~ between(extension(X1,X0,X0,X2),X3,X4)
| ~ between(X0,extension(X1,X0,X0,X2),X4) )
| ~ spl0_42
| ~ spl0_67 ),
inference(resolution,[],[f524,f297]) ).
fof(f8567,plain,
( spl0_476
| ~ spl0_51
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f1090,f1087,f375,f8565]) ).
fof(f8565,plain,
( spl0_476
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( extension(X0,X1,X2,continuous(X3,X4,X5,X3,X6,X7)) = X1
| ~ between(X3,X2,X8)
| ~ equidistant(X1,X9,X2,X8)
| ~ equidistant(extension(X0,X1,X2,continuous(X3,X4,X5,X3,X6,X7)),X1,X3,X2)
| equidistant(X9,extension(X0,X1,X2,continuous(X3,X4,X5,X3,X6,X7)),X8,continuous(X3,X4,X5,X3,X6,X7))
| ~ equidistant(X3,X6,X3,X7)
| ~ equidistant(X3,X4,X3,X5)
| ~ between(X4,X3,X6)
| ~ between(extension(X0,X1,X2,continuous(X3,X4,X5,X3,X6,X7)),X1,X9)
| ~ between(X3,X4,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_476])]) ).
fof(f1090,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( extension(X0,X1,X2,continuous(X3,X4,X5,X3,X6,X7)) = X1
| ~ between(X3,X2,X8)
| ~ equidistant(X1,X9,X2,X8)
| ~ equidistant(extension(X0,X1,X2,continuous(X3,X4,X5,X3,X6,X7)),X1,X3,X2)
| equidistant(X9,extension(X0,X1,X2,continuous(X3,X4,X5,X3,X6,X7)),X8,continuous(X3,X4,X5,X3,X6,X7))
| ~ equidistant(X3,X6,X3,X7)
| ~ equidistant(X3,X4,X3,X5)
| ~ between(X4,X3,X6)
| ~ between(extension(X0,X1,X2,continuous(X3,X4,X5,X3,X6,X7)),X1,X9)
| ~ between(X3,X4,X6) )
| ~ spl0_51
| ~ spl0_115 ),
inference(resolution,[],[f1088,f376]) ).
fof(f8533,plain,
( spl0_475
| ~ spl0_29
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f1099,f1095,f186,f8531]) ).
fof(f8531,plain,
( spl0_475
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ between(X0,X3,X5)
| ~ equidistant(X0,X5,X0,continuous(X0,X1,X2,X3,X4,X6))
| ~ between(X3,X7,X5)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X6)
| continuous(X0,X1,X2,X3,X4,X6) = inner_pasch(continuous(X0,X1,X2,X3,X4,X6),continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X6),X7,X5,continuous(X0,X1,X2,X3,X4,X6)),continuous(X0,X1,X2,X3,X4,X6),continuous(X0,X1,X2,X3,X4,X6),X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_475])]) ).
fof(f1099,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ between(X0,X3,X5)
| ~ equidistant(X0,X5,X0,continuous(X0,X1,X2,X3,X4,X6))
| ~ between(X3,X7,X5)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X6)
| continuous(X0,X1,X2,X3,X4,X6) = inner_pasch(continuous(X0,X1,X2,X3,X4,X6),continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X6),X7,X5,continuous(X0,X1,X2,X3,X4,X6)),continuous(X0,X1,X2,X3,X4,X6),continuous(X0,X1,X2,X3,X4,X6),X8) )
| ~ spl0_29
| ~ spl0_116 ),
inference(resolution,[],[f1096,f187]) ).
fof(f8445,plain,
( spl0_474
| ~ spl0_13
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f1057,f1036,f82,f8443]) ).
fof(f8443,plain,
( spl0_474
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X0,extension(X5,X6,X6,continuous(X0,X1,X2,X3,X4,X7)))
| ~ between(X0,X1,X4)
| between(X0,X8,X6)
| between(X6,X0,X8)
| between(X8,X6,X0)
| continuous(X0,X1,X2,X3,X4,X7) = extension(X5,X6,X6,continuous(X0,X1,X2,X3,X4,X7))
| ~ equidistant(X0,X4,X0,X7)
| ~ equidistant(X8,extension(X5,X6,X6,continuous(X0,X1,X2,X3,X4,X7)),X8,continuous(X0,X1,X2,X3,X4,X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_474])]) ).
fof(f82,plain,
( spl0_13
<=> ! [X3,X0,X5,X1] : equidistant(X1,extension(X0,X1,X5,X3),X5,X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f1057,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X0,extension(X5,X6,X6,continuous(X0,X1,X2,X3,X4,X7)))
| ~ between(X0,X1,X4)
| between(X0,X8,X6)
| between(X6,X0,X8)
| between(X8,X6,X0)
| continuous(X0,X1,X2,X3,X4,X7) = extension(X5,X6,X6,continuous(X0,X1,X2,X3,X4,X7))
| ~ equidistant(X0,X4,X0,X7)
| ~ equidistant(X8,extension(X5,X6,X6,continuous(X0,X1,X2,X3,X4,X7)),X8,continuous(X0,X1,X2,X3,X4,X7)) )
| ~ spl0_13
| ~ spl0_111 ),
inference(resolution,[],[f1037,f83]) ).
fof(f83,plain,
( ! [X3,X0,X1,X5] : equidistant(X1,extension(X0,X1,X5,X3),X5,X3)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f8243,plain,
( spl0_473
| ~ spl0_54
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f1045,f1032,f412,f8241]) ).
fof(f8241,plain,
( spl0_473
<=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X5,X6)
| ~ between(X0,X1,X4)
| ~ between(X7,X0,X8)
| ~ between(extension(X9,X6,X7,continuous(X0,X1,X2,X3,X4,X10)),X5,X11)
| extension(X9,X6,X7,continuous(X0,X1,X2,X3,X4,X10)) = X5
| ~ equidistant(X0,X4,X0,X10)
| ~ equidistant(X5,X11,X0,X8)
| ~ equidistant(extension(X9,X6,X7,continuous(X0,X1,X2,X3,X4,X10)),X5,X7,X0)
| equidistant(X11,X6,X8,continuous(X0,X1,X2,X3,X4,X10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_473])]) ).
fof(f1045,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X5,X6)
| ~ between(X0,X1,X4)
| ~ between(X7,X0,X8)
| ~ between(extension(X9,X6,X7,continuous(X0,X1,X2,X3,X4,X10)),X5,X11)
| extension(X9,X6,X7,continuous(X0,X1,X2,X3,X4,X10)) = X5
| ~ equidistant(X0,X4,X0,X10)
| ~ equidistant(X5,X11,X0,X8)
| ~ equidistant(extension(X9,X6,X7,continuous(X0,X1,X2,X3,X4,X10)),X5,X7,X0)
| equidistant(X11,X6,X8,continuous(X0,X1,X2,X3,X4,X10)) )
| ~ spl0_54
| ~ spl0_110 ),
inference(resolution,[],[f1033,f413]) ).
fof(f8239,plain,
( spl0_472
| ~ spl0_54
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f865,f847,f412,f8237]) ).
fof(f8237,plain,
( spl0_472
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(extension(X0,X1,X2,extension(X3,X2,X4,X5)),X6,extension(X0,X1,X2,extension(X3,X2,X4,X5)),X7)
| ~ between(X6,X1,X8)
| ~ equidistant(extension(X0,X1,X2,extension(X3,X2,X4,X5)),X8,extension(X0,X1,X2,extension(X3,X2,X4,X5)),X9)
| ~ between(extension(X0,X1,X2,extension(X3,X2,X4,X5)),X6,X8)
| equidistant(extension(X0,X1,X2,extension(X3,X2,X4,X5)),continuous(extension(X0,X1,X2,extension(X3,X2,X4,X5)),X6,X7,X1,X8,X9),X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_472])]) ).
fof(f865,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(extension(X0,X1,X2,extension(X3,X2,X4,X5)),X6,extension(X0,X1,X2,extension(X3,X2,X4,X5)),X7)
| ~ between(X6,X1,X8)
| ~ equidistant(extension(X0,X1,X2,extension(X3,X2,X4,X5)),X8,extension(X0,X1,X2,extension(X3,X2,X4,X5)),X9)
| ~ between(extension(X0,X1,X2,extension(X3,X2,X4,X5)),X6,X8)
| equidistant(extension(X0,X1,X2,extension(X3,X2,X4,X5)),continuous(extension(X0,X1,X2,extension(X3,X2,X4,X5)),X6,X7,X1,X8,X9),X4,X5) )
| ~ spl0_54
| ~ spl0_91 ),
inference(resolution,[],[f848,f413]) ).
fof(f8206,plain,
( spl0_471
| ~ spl0_31
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f993,f984,f194,f8204]) ).
fof(f8204,plain,
( spl0_471
<=> ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X0,X5)
| ~ between(X0,X1,X4)
| ~ between(X0,X5,X6)
| ~ equidistant(X0,X6,X0,X7)
| ~ between(X5,X8,X6)
| ~ equidistant(X0,X4,X0,X9)
| ~ between(X10,continuous(X0,X1,X2,X3,X4,X9),X7)
| continuous(X0,X1,X2,X3,X4,X9) = inner_pasch(continuous(X0,X1,X2,X3,X4,X9),continuous(X0,X5,continuous(X0,X1,X2,X3,X4,X9),X8,X6,X7),X7,continuous(X0,X1,X2,X3,X4,X9),X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_471])]) ).
fof(f993,plain,
( ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X0,X5)
| ~ between(X0,X1,X4)
| ~ between(X0,X5,X6)
| ~ equidistant(X0,X6,X0,X7)
| ~ between(X5,X8,X6)
| ~ equidistant(X0,X4,X0,X9)
| ~ between(X10,continuous(X0,X1,X2,X3,X4,X9),X7)
| continuous(X0,X1,X2,X3,X4,X9) = inner_pasch(continuous(X0,X1,X2,X3,X4,X9),continuous(X0,X5,continuous(X0,X1,X2,X3,X4,X9),X8,X6,X7),X7,continuous(X0,X1,X2,X3,X4,X9),X10) )
| ~ spl0_31
| ~ spl0_104 ),
inference(resolution,[],[f985,f195]) ).
fof(f8028,plain,
( spl0_470
| ~ spl0_13
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1026,f1020,f82,f8026]) ).
fof(f8026,plain,
( spl0_470
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ between(X0,X3,extension(X5,X0,X0,continuous(X0,X1,X2,X3,X4,X6)))
| ~ equidistant(X0,X4,X0,X6)
| ~ between(X3,X7,extension(X5,X0,X0,continuous(X0,X1,X2,X3,X4,X6)))
| ~ between(X0,X1,X4)
| continuous(X0,X1,X2,X3,X4,X6) = continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X6),X7,extension(X5,X0,X0,continuous(X0,X1,X2,X3,X4,X6)),continuous(X0,X1,X2,X3,X4,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_470])]) ).
fof(f1026,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ between(X0,X3,extension(X5,X0,X0,continuous(X0,X1,X2,X3,X4,X6)))
| ~ equidistant(X0,X4,X0,X6)
| ~ between(X3,X7,extension(X5,X0,X0,continuous(X0,X1,X2,X3,X4,X6)))
| ~ between(X0,X1,X4)
| continuous(X0,X1,X2,X3,X4,X6) = continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X6),X7,extension(X5,X0,X0,continuous(X0,X1,X2,X3,X4,X6)),continuous(X0,X1,X2,X3,X4,X6)) )
| ~ spl0_13
| ~ spl0_109 ),
inference(resolution,[],[f1021,f83]) ).
fof(f8024,plain,
( spl0_469
| ~ spl0_89
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f868,f847,f811,f8022]) ).
fof(f8022,plain,
( spl0_469
<=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,continuous(X0,X3,X4,extension(X5,X0,X6,extension(X7,X6,X8,X9)),X10,X11),X12)
| ~ equidistant(X0,X12,X0,X13)
| ~ between(X0,X1,X12)
| equidistant(X0,continuous(X0,X1,X2,continuous(X0,X3,X4,extension(X5,X0,X6,extension(X7,X6,X8,X9)),X10,X11),X12,X13),X8,X9)
| ~ between(X0,X3,X10)
| ~ equidistant(X0,X10,X0,X11)
| ~ equidistant(X0,X3,X0,X4)
| ~ between(X3,extension(X5,X0,X6,extension(X7,X6,X8,X9)),X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_469])]) ).
fof(f868,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,continuous(X0,X3,X4,extension(X5,X0,X6,extension(X7,X6,X8,X9)),X10,X11),X12)
| ~ equidistant(X0,X12,X0,X13)
| ~ between(X0,X1,X12)
| equidistant(X0,continuous(X0,X1,X2,continuous(X0,X3,X4,extension(X5,X0,X6,extension(X7,X6,X8,X9)),X10,X11),X12,X13),X8,X9)
| ~ between(X0,X3,X10)
| ~ equidistant(X0,X10,X0,X11)
| ~ equidistant(X0,X3,X0,X4)
| ~ between(X3,extension(X5,X0,X6,extension(X7,X6,X8,X9)),X10) )
| ~ spl0_89
| ~ spl0_91 ),
inference(resolution,[],[f848,f812]) ).
fof(f8020,plain,
( spl0_468
| ~ spl0_70
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f815,f811,f560,f8018]) ).
fof(f8018,plain,
( spl0_468
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ between(X0,X1,X2)
| ~ equidistant(X0,X2,X0,X3)
| ~ equidistant(X0,X1,X0,X4)
| ~ between(X1,extension(X5,X0,X6,X7),X2)
| ~ between(X0,continuous(X0,X1,X4,extension(X5,X0,X6,X7),X2,X3),X8)
| continuous(X0,X1,X4,extension(X5,X0,X6,X7),X2,X3) = X0
| ~ between(X6,X7,X9)
| ~ equidistant(continuous(X0,X1,X4,extension(X5,X0,X6,X7),X2,X3),X8,X7,X9)
| equidistant(X8,continuous(X0,X1,X4,extension(X5,X0,X6,X7),X2,X3),X9,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_468])]) ).
fof(f815,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ between(X0,X1,X2)
| ~ equidistant(X0,X2,X0,X3)
| ~ equidistant(X0,X1,X0,X4)
| ~ between(X1,extension(X5,X0,X6,X7),X2)
| ~ between(X0,continuous(X0,X1,X4,extension(X5,X0,X6,X7),X2,X3),X8)
| continuous(X0,X1,X4,extension(X5,X0,X6,X7),X2,X3) = X0
| ~ between(X6,X7,X9)
| ~ equidistant(continuous(X0,X1,X4,extension(X5,X0,X6,X7),X2,X3),X8,X7,X9)
| equidistant(X8,continuous(X0,X1,X4,extension(X5,X0,X6,X7),X2,X3),X9,X7) )
| ~ spl0_70
| ~ spl0_89 ),
inference(resolution,[],[f812,f561]) ).
fof(f7946,plain,
( spl0_467
| ~ spl0_42
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f934,f925,f296,f7944]) ).
fof(f7944,plain,
( spl0_467
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X0,extension(X3,X0,X0,X4),X1)
| ~ between(X5,X4,X2)
| inner_pasch(X4,continuous(X0,extension(X3,X0,X0,X4),X4,continuous(X6,extension(X7,X6,X6,extension(X3,X0,X0,X4)),extension(X3,X0,X0,X4),X8,X9,X1),X1,X2),X2,X4,X5) = X4
| ~ equidistant(X6,X9,X6,X1)
| ~ between(extension(X7,X6,X6,extension(X3,X0,X0,X4)),X8,X9)
| ~ between(X6,extension(X7,X6,X6,extension(X3,X0,X0,X4)),X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_467])]) ).
fof(f925,plain,
( spl0_96
<=> ! [X3,X4,X0,X6,X5,X2,X1] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(extension(X3,X0,X0,X4),X5,X1)
| ~ between(X0,extension(X3,X0,X0,X4),X1)
| ~ between(X6,X4,X2)
| inner_pasch(X4,continuous(X0,extension(X3,X0,X0,X4),X4,X5,X1,X2),X2,X4,X6) = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f934,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X0,extension(X3,X0,X0,X4),X1)
| ~ between(X5,X4,X2)
| inner_pasch(X4,continuous(X0,extension(X3,X0,X0,X4),X4,continuous(X6,extension(X7,X6,X6,extension(X3,X0,X0,X4)),extension(X3,X0,X0,X4),X8,X9,X1),X1,X2),X2,X4,X5) = X4
| ~ equidistant(X6,X9,X6,X1)
| ~ between(extension(X7,X6,X6,extension(X3,X0,X0,X4)),X8,X9)
| ~ between(X6,extension(X7,X6,X6,extension(X3,X0,X0,X4)),X9) )
| ~ spl0_42
| ~ spl0_96 ),
inference(resolution,[],[f926,f297]) ).
fof(f926,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ between(extension(X3,X0,X0,X4),X5,X1)
| ~ equidistant(X0,X1,X0,X2)
| ~ between(X0,extension(X3,X0,X0,X4),X1)
| ~ between(X6,X4,X2)
| inner_pasch(X4,continuous(X0,extension(X3,X0,X0,X4),X4,X5,X1,X2),X2,X4,X6) = X4 )
| ~ spl0_96 ),
inference(avatar_component_clause,[],[f925]) ).
fof(f7942,plain,
( spl0_466
| ~ spl0_42
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f923,f907,f296,f7940]) ).
fof(f7940,plain,
( spl0_466
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( inner_pasch(X0,X1,X2,X3,X4) = inner_pasch(X3,inner_pasch(X0,X1,X2,X3,X4),X0,continuous(X5,extension(X6,X5,X5,inner_pasch(X0,X1,X2,X3,X4)),inner_pasch(X0,X1,X2,X3,X4),X7,X8,X0),inner_pasch(X0,X1,X2,X3,X4))
| ~ between(X4,X3,X2)
| ~ between(X0,X1,X2)
| ~ equidistant(X5,X8,X5,X0)
| ~ between(extension(X6,X5,X5,inner_pasch(X0,X1,X2,X3,X4)),X7,X8)
| ~ between(X5,extension(X6,X5,X5,inner_pasch(X0,X1,X2,X3,X4)),X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_466])]) ).
fof(f907,plain,
( spl0_95
<=> ! [X2,X4,X0,X5,X3,X1] :
( ~ between(inner_pasch(X0,X1,X2,X3,X4),X5,X0)
| inner_pasch(X0,X1,X2,X3,X4) = inner_pasch(X3,inner_pasch(X0,X1,X2,X3,X4),X0,X5,inner_pasch(X0,X1,X2,X3,X4))
| ~ between(X4,X3,X2)
| ~ between(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f923,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( inner_pasch(X0,X1,X2,X3,X4) = inner_pasch(X3,inner_pasch(X0,X1,X2,X3,X4),X0,continuous(X5,extension(X6,X5,X5,inner_pasch(X0,X1,X2,X3,X4)),inner_pasch(X0,X1,X2,X3,X4),X7,X8,X0),inner_pasch(X0,X1,X2,X3,X4))
| ~ between(X4,X3,X2)
| ~ between(X0,X1,X2)
| ~ equidistant(X5,X8,X5,X0)
| ~ between(extension(X6,X5,X5,inner_pasch(X0,X1,X2,X3,X4)),X7,X8)
| ~ between(X5,extension(X6,X5,X5,inner_pasch(X0,X1,X2,X3,X4)),X8) )
| ~ spl0_42
| ~ spl0_95 ),
inference(resolution,[],[f908,f297]) ).
fof(f908,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(inner_pasch(X0,X1,X2,X3,X4),X5,X0)
| inner_pasch(X0,X1,X2,X3,X4) = inner_pasch(X3,inner_pasch(X0,X1,X2,X3,X4),X0,X5,inner_pasch(X0,X1,X2,X3,X4))
| ~ between(X4,X3,X2)
| ~ between(X0,X1,X2) )
| ~ spl0_95 ),
inference(avatar_component_clause,[],[f907]) ).
fof(f7938,plain,
( spl0_465
| ~ spl0_42
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f913,f903,f296,f7936]) ).
fof(f7936,plain,
( spl0_465
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( inner_pasch(X0,X1,X2,X3,X4) = inner_pasch(X1,inner_pasch(X0,X1,X2,X3,X4),X4,continuous(X5,extension(X6,X5,X5,inner_pasch(X0,X1,X2,X3,X4)),inner_pasch(X0,X1,X2,X3,X4),X7,X8,X4),inner_pasch(X0,X1,X2,X3,X4))
| ~ between(X4,X3,X2)
| ~ between(X0,X1,X2)
| ~ equidistant(X5,X8,X5,X4)
| ~ between(extension(X6,X5,X5,inner_pasch(X0,X1,X2,X3,X4)),X7,X8)
| ~ between(X5,extension(X6,X5,X5,inner_pasch(X0,X1,X2,X3,X4)),X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_465])]) ).
fof(f903,plain,
( spl0_94
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ between(inner_pasch(X0,X1,X2,X3,X4),X5,X4)
| inner_pasch(X0,X1,X2,X3,X4) = inner_pasch(X1,inner_pasch(X0,X1,X2,X3,X4),X4,X5,inner_pasch(X0,X1,X2,X3,X4))
| ~ between(X4,X3,X2)
| ~ between(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f913,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( inner_pasch(X0,X1,X2,X3,X4) = inner_pasch(X1,inner_pasch(X0,X1,X2,X3,X4),X4,continuous(X5,extension(X6,X5,X5,inner_pasch(X0,X1,X2,X3,X4)),inner_pasch(X0,X1,X2,X3,X4),X7,X8,X4),inner_pasch(X0,X1,X2,X3,X4))
| ~ between(X4,X3,X2)
| ~ between(X0,X1,X2)
| ~ equidistant(X5,X8,X5,X4)
| ~ between(extension(X6,X5,X5,inner_pasch(X0,X1,X2,X3,X4)),X7,X8)
| ~ between(X5,extension(X6,X5,X5,inner_pasch(X0,X1,X2,X3,X4)),X8) )
| ~ spl0_42
| ~ spl0_94 ),
inference(resolution,[],[f904,f297]) ).
fof(f904,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(inner_pasch(X0,X1,X2,X3,X4),X5,X4)
| inner_pasch(X0,X1,X2,X3,X4) = inner_pasch(X1,inner_pasch(X0,X1,X2,X3,X4),X4,X5,inner_pasch(X0,X1,X2,X3,X4))
| ~ between(X4,X3,X2)
| ~ between(X0,X1,X2) )
| ~ spl0_94 ),
inference(avatar_component_clause,[],[f903]) ).
fof(f7893,plain,
( spl0_464
| ~ spl0_29
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f1132,f1122,f186,f7891]) ).
fof(f7891,plain,
( spl0_464
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ between(X0,X3,X5)
| ~ equidistant(X0,X5,X0,X6)
| ~ between(X3,X7,X5)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X8)
| continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X8),X7,X5,X6) = inner_pasch(continuous(X0,X1,X2,X3,X4,X8),continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X8),X7,X5,X6),X6,X6,continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X8),X7,X5,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_464])]) ).
fof(f1132,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ between(X0,X3,X5)
| ~ equidistant(X0,X5,X0,X6)
| ~ between(X3,X7,X5)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X8)
| continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X8),X7,X5,X6) = inner_pasch(continuous(X0,X1,X2,X3,X4,X8),continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X8),X7,X5,X6),X6,X6,continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X8),X7,X5,X6)) )
| ~ spl0_29
| ~ spl0_118 ),
inference(resolution,[],[f1123,f187]) ).
fof(f7871,plain,
( spl0_463
| ~ spl0_18
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f931,f925,f109,f7869]) ).
fof(f7869,plain,
( spl0_463
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ equidistant(X0,euclid2(extension(X1,X0,X0,X2),X3,X4,X5,X6),X0,X7)
| ~ between(X0,extension(X1,X0,X0,X2),euclid2(extension(X1,X0,X0,X2),X3,X4,X5,X6))
| ~ between(X8,X2,X7)
| inner_pasch(X2,continuous(X0,extension(X1,X0,X0,X2),X2,X5,euclid2(extension(X1,X0,X0,X2),X3,X4,X5,X6),X7),X7,X2,X8) = X2
| ~ between(X3,X4,X5)
| ~ between(extension(X1,X0,X0,X2),X4,X6)
| extension(X1,X0,X0,X2) = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_463])]) ).
fof(f931,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ equidistant(X0,euclid2(extension(X1,X0,X0,X2),X3,X4,X5,X6),X0,X7)
| ~ between(X0,extension(X1,X0,X0,X2),euclid2(extension(X1,X0,X0,X2),X3,X4,X5,X6))
| ~ between(X8,X2,X7)
| inner_pasch(X2,continuous(X0,extension(X1,X0,X0,X2),X2,X5,euclid2(extension(X1,X0,X0,X2),X3,X4,X5,X6),X7),X7,X2,X8) = X2
| ~ between(X3,X4,X5)
| ~ between(extension(X1,X0,X0,X2),X4,X6)
| extension(X1,X0,X0,X2) = X4 )
| ~ spl0_18
| ~ spl0_96 ),
inference(resolution,[],[f926,f110]) ).
fof(f7867,plain,
( spl0_462
| ~ spl0_17
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f930,f925,f105,f7865]) ).
fof(f7865,plain,
( spl0_462
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ equidistant(X0,euclid1(extension(X1,X0,X0,X2),X3,X4,X5,X6),X0,X7)
| ~ between(X0,extension(X1,X0,X0,X2),euclid1(extension(X1,X0,X0,X2),X3,X4,X5,X6))
| ~ between(X8,X2,X7)
| inner_pasch(X2,continuous(X0,extension(X1,X0,X0,X2),X2,X3,euclid1(extension(X1,X0,X0,X2),X3,X4,X5,X6),X7),X7,X2,X8) = X2
| ~ between(X3,X4,X5)
| ~ between(extension(X1,X0,X0,X2),X4,X6)
| extension(X1,X0,X0,X2) = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_462])]) ).
fof(f930,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ equidistant(X0,euclid1(extension(X1,X0,X0,X2),X3,X4,X5,X6),X0,X7)
| ~ between(X0,extension(X1,X0,X0,X2),euclid1(extension(X1,X0,X0,X2),X3,X4,X5,X6))
| ~ between(X8,X2,X7)
| inner_pasch(X2,continuous(X0,extension(X1,X0,X0,X2),X2,X3,euclid1(extension(X1,X0,X0,X2),X3,X4,X5,X6),X7),X7,X2,X8) = X2
| ~ between(X3,X4,X5)
| ~ between(extension(X1,X0,X0,X2),X4,X6)
| extension(X1,X0,X0,X2) = X4 )
| ~ spl0_17
| ~ spl0_96 ),
inference(resolution,[],[f926,f106]) ).
fof(f7857,plain,
( spl0_461
| ~ spl0_48
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f430,f412,f336,f7855]) ).
fof(f7855,plain,
( spl0_461
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ between(extension(X0,X1,X2,continuous(X3,X4,X5,X1,X6,X7)),X3,X8)
| extension(X0,X1,X2,continuous(X3,X4,X5,X1,X6,X7)) = X3
| ~ between(X2,X3,X9)
| ~ equidistant(X3,X8,X3,X9)
| ~ equidistant(extension(X0,X1,X2,continuous(X3,X4,X5,X1,X6,X7)),X3,X2,X3)
| equidistant(X8,X1,X9,continuous(X3,X4,X5,X1,X6,X7))
| ~ between(X3,X4,X6)
| ~ equidistant(X3,X6,X3,X7)
| ~ equidistant(X3,X4,X3,X5)
| ~ between(X4,X1,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_461])]) ).
fof(f430,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ between(extension(X0,X1,X2,continuous(X3,X4,X5,X1,X6,X7)),X3,X8)
| extension(X0,X1,X2,continuous(X3,X4,X5,X1,X6,X7)) = X3
| ~ between(X2,X3,X9)
| ~ equidistant(X3,X8,X3,X9)
| ~ equidistant(extension(X0,X1,X2,continuous(X3,X4,X5,X1,X6,X7)),X3,X2,X3)
| equidistant(X8,X1,X9,continuous(X3,X4,X5,X1,X6,X7))
| ~ between(X3,X4,X6)
| ~ equidistant(X3,X6,X3,X7)
| ~ equidistant(X3,X4,X3,X5)
| ~ between(X4,X1,X6) )
| ~ spl0_48
| ~ spl0_54 ),
inference(resolution,[],[f413,f337]) ).
fof(f7837,plain,
( spl0_460
| ~ spl0_77
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f820,f811,f652,f7835]) ).
fof(f7835,plain,
( spl0_460
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ between(X0,X1,X2)
| ~ equidistant(X0,X2,X0,X3)
| ~ equidistant(X0,X1,X0,X4)
| ~ between(X1,extension(X5,X0,X0,X6),X2)
| ~ between(X0,X7,continuous(X0,X1,X4,extension(X5,X0,X0,X6),X2,X3))
| ~ between(X0,X0,continuous(X0,X1,X4,extension(X5,X0,X0,X6),X2,X3))
| ~ between(X8,X0,X6)
| inner_pasch(X0,continuous(X0,X0,X0,X7,continuous(X0,X1,X4,extension(X5,X0,X0,X6),X2,X3),X6),X6,X0,X8) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_460])]) ).
fof(f652,plain,
( spl0_77
<=> ! [X4,X0,X3,X2,X1] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X0,X3,X1)
| ~ between(X0,X0,X1)
| ~ between(X4,X0,X2)
| inner_pasch(X0,continuous(X0,X0,X0,X3,X1,X2),X2,X0,X4) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f820,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ between(X0,X1,X2)
| ~ equidistant(X0,X2,X0,X3)
| ~ equidistant(X0,X1,X0,X4)
| ~ between(X1,extension(X5,X0,X0,X6),X2)
| ~ between(X0,X7,continuous(X0,X1,X4,extension(X5,X0,X0,X6),X2,X3))
| ~ between(X0,X0,continuous(X0,X1,X4,extension(X5,X0,X0,X6),X2,X3))
| ~ between(X8,X0,X6)
| inner_pasch(X0,continuous(X0,X0,X0,X7,continuous(X0,X1,X4,extension(X5,X0,X0,X6),X2,X3),X6),X6,X0,X8) = X0 )
| ~ spl0_77
| ~ spl0_89 ),
inference(resolution,[],[f812,f653]) ).
fof(f653,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X0,X3,X1)
| ~ between(X0,X0,X1)
| ~ between(X4,X0,X2)
| inner_pasch(X0,continuous(X0,X0,X0,X3,X1,X2),X2,X0,X4) = X0 )
| ~ spl0_77 ),
inference(avatar_component_clause,[],[f652]) ).
fof(f7817,plain,
( spl0_459
| ~ spl0_76
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f827,f811,f630,f7815]) ).
fof(f7815,plain,
( spl0_459
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ between(v,X0,X1)
| ~ equidistant(v,X1,v,X2)
| ~ equidistant(v,X0,v,X3)
| ~ between(X0,extension(X4,v,v,X5),X1)
| ~ between(w,X6,continuous(v,X0,X3,extension(X4,v,v,X5),X1,X2))
| ~ between(v,w,continuous(v,X0,X3,extension(X4,v,v,X5),X1,X2))
| ~ between(X7,w1,X5)
| w1 = inner_pasch(w1,continuous(v,w,w1,X6,continuous(v,X0,X3,extension(X4,v,v,X5),X1,X2),X5),X5,w1,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_459])]) ).
fof(f630,plain,
( spl0_76
<=> ! [X0,X3,X2,X1] :
( ~ equidistant(v,X0,v,X1)
| ~ between(w,X2,X0)
| ~ between(v,w,X0)
| ~ between(X3,w1,X1)
| w1 = inner_pasch(w1,continuous(v,w,w1,X2,X0,X1),X1,w1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f827,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ between(v,X0,X1)
| ~ equidistant(v,X1,v,X2)
| ~ equidistant(v,X0,v,X3)
| ~ between(X0,extension(X4,v,v,X5),X1)
| ~ between(w,X6,continuous(v,X0,X3,extension(X4,v,v,X5),X1,X2))
| ~ between(v,w,continuous(v,X0,X3,extension(X4,v,v,X5),X1,X2))
| ~ between(X7,w1,X5)
| w1 = inner_pasch(w1,continuous(v,w,w1,X6,continuous(v,X0,X3,extension(X4,v,v,X5),X1,X2),X5),X5,w1,X7) )
| ~ spl0_76
| ~ spl0_89 ),
inference(resolution,[],[f812,f631]) ).
fof(f631,plain,
( ! [X2,X3,X0,X1] :
( ~ equidistant(v,X0,v,X1)
| ~ between(w,X2,X0)
| ~ between(v,w,X0)
| ~ between(X3,w1,X1)
| w1 = inner_pasch(w1,continuous(v,w,w1,X2,X0,X1),X1,w1,X3) )
| ~ spl0_76 ),
inference(avatar_component_clause,[],[f630]) ).
fof(f7813,plain,
( spl0_458
| ~ spl0_74
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f824,f811,f621,f7811]) ).
fof(f7811,plain,
( spl0_458
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ between(u,X0,X1)
| ~ equidistant(u,X1,u,X2)
| ~ equidistant(u,X0,u,X3)
| ~ between(X0,extension(X4,u,u,X5),X1)
| ~ between(w,X6,continuous(u,X0,X3,extension(X4,u,u,X5),X1,X2))
| ~ between(u,w,continuous(u,X0,X3,extension(X4,u,u,X5),X1,X2))
| ~ between(X7,w1,X5)
| w1 = inner_pasch(w1,continuous(u,w,w1,X6,continuous(u,X0,X3,extension(X4,u,u,X5),X1,X2),X5),X5,w1,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_458])]) ).
fof(f621,plain,
( spl0_74
<=> ! [X0,X3,X2,X1] :
( ~ equidistant(u,X0,u,X1)
| ~ between(w,X2,X0)
| ~ between(u,w,X0)
| ~ between(X3,w1,X1)
| w1 = inner_pasch(w1,continuous(u,w,w1,X2,X0,X1),X1,w1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f824,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ between(u,X0,X1)
| ~ equidistant(u,X1,u,X2)
| ~ equidistant(u,X0,u,X3)
| ~ between(X0,extension(X4,u,u,X5),X1)
| ~ between(w,X6,continuous(u,X0,X3,extension(X4,u,u,X5),X1,X2))
| ~ between(u,w,continuous(u,X0,X3,extension(X4,u,u,X5),X1,X2))
| ~ between(X7,w1,X5)
| w1 = inner_pasch(w1,continuous(u,w,w1,X6,continuous(u,X0,X3,extension(X4,u,u,X5),X1,X2),X5),X5,w1,X7) )
| ~ spl0_74
| ~ spl0_89 ),
inference(resolution,[],[f812,f622]) ).
fof(f622,plain,
( ! [X2,X3,X0,X1] :
( ~ equidistant(u,X0,u,X1)
| ~ between(w,X2,X0)
| ~ between(u,w,X0)
| ~ between(X3,w1,X1)
| w1 = inner_pasch(w1,continuous(u,w,w1,X2,X0,X1),X1,w1,X3) )
| ~ spl0_74 ),
inference(avatar_component_clause,[],[f621]) ).
fof(f7773,plain,
( spl0_457
| ~ spl0_23
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f821,f811,f135,f7771]) ).
fof(f7771,plain,
( spl0_457
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ between(X0,X1,X2)
| ~ equidistant(X0,X2,X0,X3)
| ~ equidistant(X0,X1,X0,X4)
| ~ between(X1,extension(X5,X0,X0,X6),X2)
| between(X0,X7,X8)
| between(X8,X0,X7)
| between(X7,X8,X0)
| continuous(X0,X1,X4,extension(X5,X0,X0,X6),X2,X3) = X6
| ~ equidistant(X8,continuous(X0,X1,X4,extension(X5,X0,X0,X6),X2,X3),X8,X6)
| ~ equidistant(X7,continuous(X0,X1,X4,extension(X5,X0,X0,X6),X2,X3),X7,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_457])]) ).
fof(f821,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ between(X0,X1,X2)
| ~ equidistant(X0,X2,X0,X3)
| ~ equidistant(X0,X1,X0,X4)
| ~ between(X1,extension(X5,X0,X0,X6),X2)
| between(X0,X7,X8)
| between(X8,X0,X7)
| between(X7,X8,X0)
| continuous(X0,X1,X4,extension(X5,X0,X0,X6),X2,X3) = X6
| ~ equidistant(X8,continuous(X0,X1,X4,extension(X5,X0,X0,X6),X2,X3),X8,X6)
| ~ equidistant(X7,continuous(X0,X1,X4,extension(X5,X0,X0,X6),X2,X3),X7,X6) )
| ~ spl0_23
| ~ spl0_89 ),
inference(resolution,[],[f812,f136]) ).
fof(f7657,plain,
( spl0_456
| ~ spl0_13
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f1046,f1032,f82,f7655]) ).
fof(f7655,plain,
( spl0_456
<=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X5,extension(X6,X7,X8,continuous(X0,X1,X2,X3,X4,X9)))
| ~ between(X0,X1,X4)
| ~ between(X8,X0,X10)
| ~ between(X7,X5,X11)
| X5 = X7
| ~ equidistant(X0,X4,X0,X9)
| ~ equidistant(X5,X11,X0,X10)
| ~ equidistant(X7,X5,X8,X0)
| equidistant(X11,extension(X6,X7,X8,continuous(X0,X1,X2,X3,X4,X9)),X10,continuous(X0,X1,X2,X3,X4,X9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_456])]) ).
fof(f1046,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X5,extension(X6,X7,X8,continuous(X0,X1,X2,X3,X4,X9)))
| ~ between(X0,X1,X4)
| ~ between(X8,X0,X10)
| ~ between(X7,X5,X11)
| X5 = X7
| ~ equidistant(X0,X4,X0,X9)
| ~ equidistant(X5,X11,X0,X10)
| ~ equidistant(X7,X5,X8,X0)
| equidistant(X11,extension(X6,X7,X8,continuous(X0,X1,X2,X3,X4,X9)),X10,continuous(X0,X1,X2,X3,X4,X9)) )
| ~ spl0_13
| ~ spl0_110 ),
inference(resolution,[],[f1033,f83]) ).
fof(f7653,plain,
( spl0_455
| ~ spl0_53
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f1044,f1032,f408,f7651]) ).
fof(f7651,plain,
( spl0_455
<=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X5,X6)
| ~ between(X0,X1,X4)
| ~ between(extension(X7,continuous(X0,X1,X2,X3,X4,X8),X9,X6),X0,X10)
| ~ between(X9,X5,X11)
| X5 = X9
| ~ equidistant(X0,X4,X0,X8)
| ~ equidistant(X5,X11,X0,X10)
| ~ equidistant(X9,X5,extension(X7,continuous(X0,X1,X2,X3,X4,X8),X9,X6),X0)
| equidistant(X11,X6,X10,continuous(X0,X1,X2,X3,X4,X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_455])]) ).
fof(f1044,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X5,X6)
| ~ between(X0,X1,X4)
| ~ between(extension(X7,continuous(X0,X1,X2,X3,X4,X8),X9,X6),X0,X10)
| ~ between(X9,X5,X11)
| X5 = X9
| ~ equidistant(X0,X4,X0,X8)
| ~ equidistant(X5,X11,X0,X10)
| ~ equidistant(X9,X5,extension(X7,continuous(X0,X1,X2,X3,X4,X8),X9,X6),X0)
| equidistant(X11,X6,X10,continuous(X0,X1,X2,X3,X4,X8)) )
| ~ spl0_53
| ~ spl0_110 ),
inference(resolution,[],[f1033,f409]) ).
fof(f7649,plain,
( spl0_454
| ~ spl0_21
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f822,f811,f121,f7647]) ).
fof(f7647,plain,
( spl0_454
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ between(X0,X1,X2)
| ~ equidistant(X0,X2,X0,X3)
| ~ equidistant(X0,X1,X0,X4)
| ~ between(X1,extension(X5,X0,X0,X6),X2)
| ~ between(X0,continuous(X0,X1,X4,extension(X5,X0,X0,X6),X2,X3),X7)
| ~ equidistant(X0,X7,X0,X8)
| ~ between(continuous(X0,X1,X4,extension(X5,X0,X0,X6),X2,X3),X9,X7)
| between(X6,continuous(X0,continuous(X0,X1,X4,extension(X5,X0,X0,X6),X2,X3),X6,X9,X7,X8),X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_454])]) ).
fof(f822,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ between(X0,X1,X2)
| ~ equidistant(X0,X2,X0,X3)
| ~ equidistant(X0,X1,X0,X4)
| ~ between(X1,extension(X5,X0,X0,X6),X2)
| ~ between(X0,continuous(X0,X1,X4,extension(X5,X0,X0,X6),X2,X3),X7)
| ~ equidistant(X0,X7,X0,X8)
| ~ between(continuous(X0,X1,X4,extension(X5,X0,X0,X6),X2,X3),X9,X7)
| between(X6,continuous(X0,continuous(X0,X1,X4,extension(X5,X0,X0,X6),X2,X3),X6,X9,X7,X8),X8) )
| ~ spl0_21
| ~ spl0_89 ),
inference(resolution,[],[f812,f122]) ).
fof(f7606,plain,
( spl0_453
| ~ spl0_99
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f999,f984,f957,f7604]) ).
fof(f7604,plain,
( spl0_453
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ equidistant(X0,X0,X0,X0)
| ~ between(X0,X1,X2)
| ~ equidistant(X0,X1,X0,X3)
| ~ between(X0,X0,X2)
| ~ between(X0,X3,X4)
| ~ equidistant(X0,X4,X0,X5)
| ~ between(X3,X6,X4)
| ~ equidistant(X0,X2,X0,X5)
| continuous(X0,X0,X0,X1,X2,X5) = inner_pasch(X0,continuous(X0,X0,X0,X1,X2,X5),X5,continuous(X0,X3,continuous(X0,X0,X0,X1,X2,X5),X6,X4,X5),continuous(X0,X0,X0,X1,X2,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_453])]) ).
fof(f999,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ equidistant(X0,X0,X0,X0)
| ~ between(X0,X1,X2)
| ~ equidistant(X0,X1,X0,X3)
| ~ between(X0,X0,X2)
| ~ between(X0,X3,X4)
| ~ equidistant(X0,X4,X0,X5)
| ~ between(X3,X6,X4)
| ~ equidistant(X0,X2,X0,X5)
| continuous(X0,X0,X0,X1,X2,X5) = inner_pasch(X0,continuous(X0,X0,X0,X1,X2,X5),X5,continuous(X0,X3,continuous(X0,X0,X0,X1,X2,X5),X6,X4,X5),continuous(X0,X0,X0,X1,X2,X5)) )
| ~ spl0_99
| ~ spl0_104 ),
inference(duplicate_literal_removal,[],[f989]) ).
fof(f989,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ equidistant(X0,X0,X0,X0)
| ~ between(X0,X1,X2)
| ~ equidistant(X0,X1,X0,X3)
| ~ between(X0,X0,X2)
| ~ between(X0,X3,X4)
| ~ equidistant(X0,X4,X0,X5)
| ~ between(X3,X6,X4)
| ~ equidistant(X0,X2,X0,X5)
| ~ between(X0,X1,X2)
| ~ between(X0,X0,X2)
| ~ equidistant(X0,X2,X0,X5)
| continuous(X0,X0,X0,X1,X2,X5) = inner_pasch(X0,continuous(X0,X0,X0,X1,X2,X5),X5,continuous(X0,X3,continuous(X0,X0,X0,X1,X2,X5),X6,X4,X5),continuous(X0,X0,X0,X1,X2,X5)) )
| ~ spl0_99
| ~ spl0_104 ),
inference(resolution,[],[f985,f958]) ).
fof(f7546,plain,
( spl0_452
| ~ spl0_7
| ~ spl0_97
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f1001,f984,f937,f55,f7544]) ).
fof(f7544,plain,
( spl0_452
<=> ! [X5,X4,X2,X0,X3,X1] :
( ~ between(w,X0,X1)
| continuous(u,w,w1,X0,X1,X4) = inner_pasch(w1,continuous(u,w,w1,X0,X1,X4),X4,continuous(u,X2,continuous(u,w,w1,X0,X1,X4),X5,X3,X4),continuous(u,w,w1,X0,X1,X4))
| ~ equidistant(u,X1,u,X4)
| ~ between(X2,X5,X3)
| ~ equidistant(u,X3,u,X4)
| ~ between(u,X2,X3)
| ~ between(u,w,X1)
| ~ equidistant(u,X0,u,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_452])]) ).
fof(f1001,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(u,w,u,w1)
| ~ between(w,X0,X1)
| ~ equidistant(u,X0,u,X2)
| ~ between(u,w,X1)
| ~ between(u,X2,X3)
| ~ equidistant(u,X3,u,X4)
| ~ between(X2,X5,X3)
| ~ equidistant(u,X1,u,X4)
| continuous(u,w,w1,X0,X1,X4) = inner_pasch(w1,continuous(u,w,w1,X0,X1,X4),X4,continuous(u,X2,continuous(u,w,w1,X0,X1,X4),X5,X3,X4),continuous(u,w,w1,X0,X1,X4)) )
| ~ spl0_97
| ~ spl0_104 ),
inference(duplicate_literal_removal,[],[f987]) ).
fof(f987,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(u,w,u,w1)
| ~ between(w,X0,X1)
| ~ equidistant(u,X0,u,X2)
| ~ between(u,w,X1)
| ~ between(u,X2,X3)
| ~ equidistant(u,X3,u,X4)
| ~ between(X2,X5,X3)
| ~ equidistant(u,X1,u,X4)
| ~ between(w,X0,X1)
| ~ between(u,w,X1)
| ~ equidistant(u,X1,u,X4)
| continuous(u,w,w1,X0,X1,X4) = inner_pasch(w1,continuous(u,w,w1,X0,X1,X4),X4,continuous(u,X2,continuous(u,w,w1,X0,X1,X4),X5,X3,X4),continuous(u,w,w1,X0,X1,X4)) )
| ~ spl0_97
| ~ spl0_104 ),
inference(resolution,[],[f985,f938]) ).
fof(f7519,plain,
( spl0_451
| ~ spl0_8
| ~ spl0_98
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f1000,f984,f941,f60,f7517]) ).
fof(f7517,plain,
( spl0_451
<=> ! [X5,X4,X2,X0,X3,X1] :
( ~ between(w,X0,X1)
| continuous(v,w,w1,X0,X1,X4) = inner_pasch(w1,continuous(v,w,w1,X0,X1,X4),X4,continuous(v,X2,continuous(v,w,w1,X0,X1,X4),X5,X3,X4),continuous(v,w,w1,X0,X1,X4))
| ~ equidistant(v,X1,v,X4)
| ~ between(X2,X5,X3)
| ~ equidistant(v,X3,v,X4)
| ~ between(v,X2,X3)
| ~ between(v,w,X1)
| ~ equidistant(v,X0,v,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_451])]) ).
fof(f1000,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(v,w,v,w1)
| ~ between(w,X0,X1)
| ~ equidistant(v,X0,v,X2)
| ~ between(v,w,X1)
| ~ between(v,X2,X3)
| ~ equidistant(v,X3,v,X4)
| ~ between(X2,X5,X3)
| ~ equidistant(v,X1,v,X4)
| continuous(v,w,w1,X0,X1,X4) = inner_pasch(w1,continuous(v,w,w1,X0,X1,X4),X4,continuous(v,X2,continuous(v,w,w1,X0,X1,X4),X5,X3,X4),continuous(v,w,w1,X0,X1,X4)) )
| ~ spl0_98
| ~ spl0_104 ),
inference(duplicate_literal_removal,[],[f988]) ).
fof(f988,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(v,w,v,w1)
| ~ between(w,X0,X1)
| ~ equidistant(v,X0,v,X2)
| ~ between(v,w,X1)
| ~ between(v,X2,X3)
| ~ equidistant(v,X3,v,X4)
| ~ between(X2,X5,X3)
| ~ equidistant(v,X1,v,X4)
| ~ between(w,X0,X1)
| ~ between(v,w,X1)
| ~ equidistant(v,X1,v,X4)
| continuous(v,w,w1,X0,X1,X4) = inner_pasch(w1,continuous(v,w,w1,X0,X1,X4),X4,continuous(v,X2,continuous(v,w,w1,X0,X1,X4),X5,X3,X4),continuous(v,w,w1,X0,X1,X4)) )
| ~ spl0_98
| ~ spl0_104 ),
inference(resolution,[],[f985,f942]) ).
fof(f7452,plain,
( spl0_450
| ~ spl0_9
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f1042,f1032,f65,f7450]) ).
fof(f7450,plain,
( spl0_450
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X5,X6)
| ~ between(X0,X1,X4)
| ~ between(X6,X0,X7)
| ~ between(continuous(X0,X1,X2,X3,X4,X8),X5,X9)
| continuous(X0,X1,X2,X3,X4,X8) = X5
| ~ equidistant(X0,X4,X0,X8)
| ~ equidistant(X5,X9,X0,X7)
| ~ equidistant(continuous(X0,X1,X2,X3,X4,X8),X5,X6,X0)
| equidistant(X9,X6,X7,continuous(X0,X1,X2,X3,X4,X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_450])]) ).
fof(f1042,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X5,X6)
| ~ between(X0,X1,X4)
| ~ between(X6,X0,X7)
| ~ between(continuous(X0,X1,X2,X3,X4,X8),X5,X9)
| continuous(X0,X1,X2,X3,X4,X8) = X5
| ~ equidistant(X0,X4,X0,X8)
| ~ equidistant(X5,X9,X0,X7)
| ~ equidistant(continuous(X0,X1,X2,X3,X4,X8),X5,X6,X0)
| equidistant(X9,X6,X7,continuous(X0,X1,X2,X3,X4,X8)) )
| ~ spl0_9
| ~ spl0_110 ),
inference(resolution,[],[f1033,f66]) ).
fof(f7448,plain,
( spl0_449
| ~ spl0_24
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f818,f811,f146,f7446]) ).
fof(f7446,plain,
( spl0_449
<=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ between(X0,X1,X2)
| ~ equidistant(X0,X2,X0,X3)
| ~ equidistant(X0,X1,X0,X4)
| ~ between(X1,extension(X5,X0,X6,X7),X2)
| ~ between(X8,X6,X9)
| ~ between(X10,X0,X11)
| X0 = X10
| ~ equidistant(X10,continuous(X0,X1,X4,extension(X5,X0,X6,X7),X2,X3),X8,X7)
| ~ equidistant(X0,X11,X6,X9)
| ~ equidistant(X10,X0,X8,X6)
| equidistant(X11,continuous(X0,X1,X4,extension(X5,X0,X6,X7),X2,X3),X9,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_449])]) ).
fof(f146,plain,
( spl0_24
<=> ! [X2,X3,X9,X0,X8,X6,X1,X7] :
( X0 = X1
| ~ between(X6,X7,X8)
| ~ between(X0,X1,X2)
| ~ equidistant(X1,X3,X7,X9)
| ~ equidistant(X0,X3,X6,X9)
| ~ equidistant(X1,X2,X7,X8)
| ~ equidistant(X0,X1,X6,X7)
| equidistant(X2,X3,X8,X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f818,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ between(X0,X1,X2)
| ~ equidistant(X0,X2,X0,X3)
| ~ equidistant(X0,X1,X0,X4)
| ~ between(X1,extension(X5,X0,X6,X7),X2)
| ~ between(X8,X6,X9)
| ~ between(X10,X0,X11)
| X0 = X10
| ~ equidistant(X10,continuous(X0,X1,X4,extension(X5,X0,X6,X7),X2,X3),X8,X7)
| ~ equidistant(X0,X11,X6,X9)
| ~ equidistant(X10,X0,X8,X6)
| equidistant(X11,continuous(X0,X1,X4,extension(X5,X0,X6,X7),X2,X3),X9,X7) )
| ~ spl0_24
| ~ spl0_89 ),
inference(resolution,[],[f812,f147]) ).
fof(f147,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7] :
( ~ equidistant(X1,X3,X7,X9)
| ~ between(X6,X7,X8)
| ~ between(X0,X1,X2)
| X0 = X1
| ~ equidistant(X0,X3,X6,X9)
| ~ equidistant(X1,X2,X7,X8)
| ~ equidistant(X0,X1,X6,X7)
| equidistant(X2,X3,X8,X9) )
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f7444,plain,
( spl0_448
| ~ spl0_42
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f808,f779,f296,f7442]) ).
fof(f7442,plain,
( spl0_448
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X0,extension(X3,X0,X0,X2),X1)
| continuous(X0,extension(X3,X0,X0,X2),X2,continuous(X4,extension(X5,X4,X4,extension(X3,X0,X0,X2)),extension(X3,X0,X0,X2),X6,X7,X1),X1,X2) = X2
| ~ equidistant(X4,X7,X4,X1)
| ~ between(extension(X5,X4,X4,extension(X3,X0,X0,X2)),X6,X7)
| ~ between(X4,extension(X5,X4,X4,extension(X3,X0,X0,X2)),X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_448])]) ).
fof(f779,plain,
( spl0_88
<=> ! [X4,X0,X3,X2,X1] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(extension(X3,X0,X0,X2),X4,X1)
| ~ between(X0,extension(X3,X0,X0,X2),X1)
| continuous(X0,extension(X3,X0,X0,X2),X2,X4,X1,X2) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f808,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X0,extension(X3,X0,X0,X2),X1)
| continuous(X0,extension(X3,X0,X0,X2),X2,continuous(X4,extension(X5,X4,X4,extension(X3,X0,X0,X2)),extension(X3,X0,X0,X2),X6,X7,X1),X1,X2) = X2
| ~ equidistant(X4,X7,X4,X1)
| ~ between(extension(X5,X4,X4,extension(X3,X0,X0,X2)),X6,X7)
| ~ between(X4,extension(X5,X4,X4,extension(X3,X0,X0,X2)),X7) )
| ~ spl0_42
| ~ spl0_88 ),
inference(resolution,[],[f780,f297]) ).
fof(f780,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ between(extension(X3,X0,X0,X2),X4,X1)
| ~ equidistant(X0,X1,X0,X2)
| ~ between(X0,extension(X3,X0,X0,X2),X1)
| continuous(X0,extension(X3,X0,X0,X2),X2,X4,X1,X2) = X2 )
| ~ spl0_88 ),
inference(avatar_component_clause,[],[f779]) ).
fof(f7418,plain,
( spl0_447
| ~ spl0_18
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f805,f779,f109,f7416]) ).
fof(f7416,plain,
( spl0_447
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ equidistant(X0,euclid2(extension(X1,X0,X0,X2),X3,X4,X5,X6),X0,X2)
| ~ between(X0,extension(X1,X0,X0,X2),euclid2(extension(X1,X0,X0,X2),X3,X4,X5,X6))
| continuous(X0,extension(X1,X0,X0,X2),X2,X5,euclid2(extension(X1,X0,X0,X2),X3,X4,X5,X6),X2) = X2
| ~ between(X3,X4,X5)
| ~ between(extension(X1,X0,X0,X2),X4,X6)
| extension(X1,X0,X0,X2) = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_447])]) ).
fof(f805,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ equidistant(X0,euclid2(extension(X1,X0,X0,X2),X3,X4,X5,X6),X0,X2)
| ~ between(X0,extension(X1,X0,X0,X2),euclid2(extension(X1,X0,X0,X2),X3,X4,X5,X6))
| continuous(X0,extension(X1,X0,X0,X2),X2,X5,euclid2(extension(X1,X0,X0,X2),X3,X4,X5,X6),X2) = X2
| ~ between(X3,X4,X5)
| ~ between(extension(X1,X0,X0,X2),X4,X6)
| extension(X1,X0,X0,X2) = X4 )
| ~ spl0_18
| ~ spl0_88 ),
inference(resolution,[],[f780,f110]) ).
fof(f7414,plain,
( spl0_446
| ~ spl0_17
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f804,f779,f105,f7412]) ).
fof(f7412,plain,
( spl0_446
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ equidistant(X0,euclid1(extension(X1,X0,X0,X2),X3,X4,X5,X6),X0,X2)
| ~ between(X0,extension(X1,X0,X0,X2),euclid1(extension(X1,X0,X0,X2),X3,X4,X5,X6))
| continuous(X0,extension(X1,X0,X0,X2),X2,X3,euclid1(extension(X1,X0,X0,X2),X3,X4,X5,X6),X2) = X2
| ~ between(X3,X4,X5)
| ~ between(extension(X1,X0,X0,X2),X4,X6)
| extension(X1,X0,X0,X2) = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_446])]) ).
fof(f804,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ equidistant(X0,euclid1(extension(X1,X0,X0,X2),X3,X4,X5,X6),X0,X2)
| ~ between(X0,extension(X1,X0,X0,X2),euclid1(extension(X1,X0,X0,X2),X3,X4,X5,X6))
| continuous(X0,extension(X1,X0,X0,X2),X2,X3,euclid1(extension(X1,X0,X0,X2),X3,X4,X5,X6),X2) = X2
| ~ between(X3,X4,X5)
| ~ between(extension(X1,X0,X0,X2),X4,X6)
| extension(X1,X0,X0,X2) = X4 )
| ~ spl0_17
| ~ spl0_88 ),
inference(resolution,[],[f780,f106]) ).
fof(f7396,plain,
( spl0_445
| ~ spl0_52
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1024,f1020,f379,f7394]) ).
fof(f7394,plain,
( spl0_445
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ between(X0,X3,continuous(X0,X1,X2,X3,X4,X5))
| ~ equidistant(X0,X4,X0,X5)
| ~ between(X3,X6,continuous(X0,X1,X2,X3,X4,X5))
| ~ between(X0,X1,X4)
| continuous(X0,X1,X2,X3,X4,X5) = continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X5),X6,continuous(X0,X1,X2,X3,X4,X5),continuous(X0,X1,X2,X3,X4,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_445])]) ).
fof(f1024,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ between(X0,X3,continuous(X0,X1,X2,X3,X4,X5))
| ~ equidistant(X0,X4,X0,X5)
| ~ between(X3,X6,continuous(X0,X1,X2,X3,X4,X5))
| ~ between(X0,X1,X4)
| continuous(X0,X1,X2,X3,X4,X5) = continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X5),X6,continuous(X0,X1,X2,X3,X4,X5),continuous(X0,X1,X2,X3,X4,X5)) )
| ~ spl0_52
| ~ spl0_109 ),
inference(resolution,[],[f1021,f380]) ).
fof(f7379,plain,
( spl0_444
| ~ spl0_42
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f858,f838,f296,f7377]) ).
fof(f7377,plain,
( spl0_444
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( inner_pasch(euclid1(X0,X1,X2,X3,X4),X4,euclid2(X0,X1,X2,X3,X4),continuous(X5,extension(X6,X5,X5,X4),X4,X7,X8,euclid2(X0,X1,X2,X3,X4)),X4) = X4
| ~ between(X1,X2,X3)
| ~ between(X0,X2,X4)
| X0 = X2
| ~ equidistant(X5,X8,X5,euclid2(X0,X1,X2,X3,X4))
| ~ between(extension(X6,X5,X5,X4),X7,X8)
| ~ between(X5,extension(X6,X5,X5,X4),X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_444])]) ).
fof(f858,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( inner_pasch(euclid1(X0,X1,X2,X3,X4),X4,euclid2(X0,X1,X2,X3,X4),continuous(X5,extension(X6,X5,X5,X4),X4,X7,X8,euclid2(X0,X1,X2,X3,X4)),X4) = X4
| ~ between(X1,X2,X3)
| ~ between(X0,X2,X4)
| X0 = X2
| ~ equidistant(X5,X8,X5,euclid2(X0,X1,X2,X3,X4))
| ~ between(extension(X6,X5,X5,X4),X7,X8)
| ~ between(X5,extension(X6,X5,X5,X4),X8) )
| ~ spl0_42
| ~ spl0_90 ),
inference(resolution,[],[f839,f297]) ).
fof(f7375,plain,
( spl0_443
| ~ spl0_48
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f419,f408,f336,f7373]) ).
fof(f7373,plain,
( spl0_443
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ between(X0,X1,X2)
| X0 = X1
| ~ between(extension(X3,continuous(X1,X4,X5,X6,X7,X8),X0,X6),X1,X9)
| ~ equidistant(X1,X2,X1,X9)
| ~ equidistant(X0,X1,extension(X3,continuous(X1,X4,X5,X6,X7,X8),X0,X6),X1)
| equidistant(X2,X6,X9,continuous(X1,X4,X5,X6,X7,X8))
| ~ between(X1,X4,X7)
| ~ equidistant(X1,X7,X1,X8)
| ~ equidistant(X1,X4,X1,X5)
| ~ between(X4,X6,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_443])]) ).
fof(f419,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ between(X0,X1,X2)
| X0 = X1
| ~ between(extension(X3,continuous(X1,X4,X5,X6,X7,X8),X0,X6),X1,X9)
| ~ equidistant(X1,X2,X1,X9)
| ~ equidistant(X0,X1,extension(X3,continuous(X1,X4,X5,X6,X7,X8),X0,X6),X1)
| equidistant(X2,X6,X9,continuous(X1,X4,X5,X6,X7,X8))
| ~ between(X1,X4,X7)
| ~ equidistant(X1,X7,X1,X8)
| ~ equidistant(X1,X4,X1,X5)
| ~ between(X4,X6,X7) )
| ~ spl0_48
| ~ spl0_53 ),
inference(resolution,[],[f409,f337]) ).
fof(f7275,plain,
( spl0_442
| ~ spl0_10
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f990,f984,f69,f7273]) ).
fof(f7273,plain,
( spl0_442
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X0,X5)
| ~ between(X0,X1,X4)
| ~ between(X0,X5,X6)
| ~ equidistant(X0,X6,X0,continuous(X0,X1,X2,X3,X4,X7))
| ~ between(X5,X8,X6)
| ~ equidistant(X0,X4,X0,X7)
| continuous(X0,X1,X2,X3,X4,X7) = continuous(X0,X5,continuous(X0,X1,X2,X3,X4,X7),X8,X6,continuous(X0,X1,X2,X3,X4,X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_442])]) ).
fof(f69,plain,
( spl0_10
<=> ! [X0,X1] :
( X0 = X1
| ~ between(X0,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f990,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X0,X5)
| ~ between(X0,X1,X4)
| ~ between(X0,X5,X6)
| ~ equidistant(X0,X6,X0,continuous(X0,X1,X2,X3,X4,X7))
| ~ between(X5,X8,X6)
| ~ equidistant(X0,X4,X0,X7)
| continuous(X0,X1,X2,X3,X4,X7) = continuous(X0,X5,continuous(X0,X1,X2,X3,X4,X7),X8,X6,continuous(X0,X1,X2,X3,X4,X7)) )
| ~ spl0_10
| ~ spl0_104 ),
inference(resolution,[],[f985,f70]) ).
fof(f70,plain,
( ! [X0,X1] :
( ~ between(X0,X1,X0)
| X0 = X1 )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f7271,plain,
( spl0_441
| ~ spl0_45
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f965,f957,f320,f7269]) ).
fof(f7269,plain,
( spl0_441
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ between(X0,X1,X2)
| ~ between(X0,X0,X2)
| ~ equidistant(X0,X2,X0,X3)
| continuous(X0,X0,X0,X1,X2,X3) = inner_pasch(X0,continuous(X0,X0,X0,X1,X2,X3),X3,continuous(X0,X1,continuous(X0,X0,X0,X1,X2,X3),X4,X5,X3),continuous(X0,X0,X0,X1,X2,X3))
| ~ equidistant(X0,X0,X0,X0)
| ~ between(X0,X1,X5)
| ~ equidistant(X0,X5,X0,X3)
| ~ between(X1,X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_441])]) ).
fof(f965,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(X0,X1,X2)
| ~ between(X0,X0,X2)
| ~ equidistant(X0,X2,X0,X3)
| continuous(X0,X0,X0,X1,X2,X3) = inner_pasch(X0,continuous(X0,X0,X0,X1,X2,X3),X3,continuous(X0,X1,continuous(X0,X0,X0,X1,X2,X3),X4,X5,X3),continuous(X0,X0,X0,X1,X2,X3))
| ~ equidistant(X0,X0,X0,X0)
| ~ between(X0,X1,X5)
| ~ equidistant(X0,X5,X0,X3)
| ~ between(X1,X4,X5) )
| ~ spl0_45
| ~ spl0_99 ),
inference(duplicate_literal_removal,[],[f960]) ).
fof(f960,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(X0,X1,X2)
| ~ between(X0,X0,X2)
| ~ equidistant(X0,X2,X0,X3)
| continuous(X0,X0,X0,X1,X2,X3) = inner_pasch(X0,continuous(X0,X0,X0,X1,X2,X3),X3,continuous(X0,X1,continuous(X0,X0,X0,X1,X2,X3),X4,X5,X3),continuous(X0,X0,X0,X1,X2,X3))
| ~ equidistant(X0,X2,X0,X3)
| ~ equidistant(X0,X0,X0,X0)
| ~ between(X0,X1,X2)
| ~ between(X0,X1,X5)
| ~ equidistant(X0,X5,X0,X3)
| ~ between(X1,X4,X5)
| ~ between(X0,X0,X2) )
| ~ spl0_45
| ~ spl0_99 ),
inference(resolution,[],[f958,f321]) ).
fof(f7232,plain,
( spl0_440
| ~ spl0_7
| ~ spl0_32
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f1109,f1095,f212,f55,f7230]) ).
fof(f7230,plain,
( spl0_440
<=> ! [X4,X0,X3,X2,X1] :
( ~ between(w,X0,X1)
| continuous(u,w,w1,X0,X1,X3) = inner_pasch(continuous(u,w,w1,X0,X1,X3),continuous(u,X0,continuous(u,w,w1,X0,X1,X3),X4,X2,X3),X3,continuous(u,w,w1,X0,X1,X3),w1)
| ~ equidistant(u,X1,u,X3)
| ~ between(u,w,X1)
| ~ between(X0,X4,X2)
| ~ equidistant(u,X2,u,X3)
| ~ between(u,X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_440])]) ).
fof(f1109,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ equidistant(u,w,u,w1)
| ~ between(w,X0,X1)
| ~ between(u,X0,X2)
| ~ equidistant(u,X2,u,X3)
| ~ between(X0,X4,X2)
| ~ between(u,w,X1)
| ~ equidistant(u,X1,u,X3)
| continuous(u,w,w1,X0,X1,X3) = inner_pasch(continuous(u,w,w1,X0,X1,X3),continuous(u,X0,continuous(u,w,w1,X0,X1,X3),X4,X2,X3),X3,continuous(u,w,w1,X0,X1,X3),w1) )
| ~ spl0_32
| ~ spl0_116 ),
inference(duplicate_literal_removal,[],[f1106]) ).
fof(f1106,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ equidistant(u,w,u,w1)
| ~ between(w,X0,X1)
| ~ between(u,X0,X2)
| ~ equidistant(u,X2,u,X3)
| ~ between(X0,X4,X2)
| ~ between(u,w,X1)
| ~ equidistant(u,X1,u,X3)
| continuous(u,w,w1,X0,X1,X3) = inner_pasch(continuous(u,w,w1,X0,X1,X3),continuous(u,X0,continuous(u,w,w1,X0,X1,X3),X4,X2,X3),X3,continuous(u,w,w1,X0,X1,X3),w1)
| ~ equidistant(u,X1,u,X3)
| ~ between(w,X0,X1)
| ~ between(u,w,X1) )
| ~ spl0_32
| ~ spl0_116 ),
inference(resolution,[],[f1096,f213]) ).
fof(f7205,plain,
( spl0_439
| ~ spl0_8
| ~ spl0_33
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f1108,f1095,f216,f60,f7203]) ).
fof(f7203,plain,
( spl0_439
<=> ! [X4,X0,X3,X2,X1] :
( ~ between(w,X0,X1)
| continuous(v,w,w1,X0,X1,X3) = inner_pasch(continuous(v,w,w1,X0,X1,X3),continuous(v,X0,continuous(v,w,w1,X0,X1,X3),X4,X2,X3),X3,continuous(v,w,w1,X0,X1,X3),w1)
| ~ equidistant(v,X1,v,X3)
| ~ between(v,w,X1)
| ~ between(X0,X4,X2)
| ~ equidistant(v,X2,v,X3)
| ~ between(v,X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_439])]) ).
fof(f1108,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ equidistant(v,w,v,w1)
| ~ between(w,X0,X1)
| ~ between(v,X0,X2)
| ~ equidistant(v,X2,v,X3)
| ~ between(X0,X4,X2)
| ~ between(v,w,X1)
| ~ equidistant(v,X1,v,X3)
| continuous(v,w,w1,X0,X1,X3) = inner_pasch(continuous(v,w,w1,X0,X1,X3),continuous(v,X0,continuous(v,w,w1,X0,X1,X3),X4,X2,X3),X3,continuous(v,w,w1,X0,X1,X3),w1) )
| ~ spl0_33
| ~ spl0_116 ),
inference(duplicate_literal_removal,[],[f1107]) ).
fof(f1107,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ equidistant(v,w,v,w1)
| ~ between(w,X0,X1)
| ~ between(v,X0,X2)
| ~ equidistant(v,X2,v,X3)
| ~ between(X0,X4,X2)
| ~ between(v,w,X1)
| ~ equidistant(v,X1,v,X3)
| continuous(v,w,w1,X0,X1,X3) = inner_pasch(continuous(v,w,w1,X0,X1,X3),continuous(v,X0,continuous(v,w,w1,X0,X1,X3),X4,X2,X3),X3,continuous(v,w,w1,X0,X1,X3),w1)
| ~ equidistant(v,X1,v,X3)
| ~ between(w,X0,X1)
| ~ between(v,w,X1) )
| ~ spl0_33
| ~ spl0_116 ),
inference(resolution,[],[f1096,f217]) ).
fof(f7151,plain,
( ~ spl0_8
| spl0_438
| ~ spl0_45
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f955,f941,f320,f7149,f60]) ).
fof(f7149,plain,
( spl0_438
<=> ! [X2,X4,X0,X3,X1] :
( ~ between(w,X0,X1)
| ~ between(X0,X3,X4)
| ~ equidistant(v,X4,v,X2)
| ~ between(v,X0,X4)
| continuous(v,w,w1,X0,X1,X2) = inner_pasch(w1,continuous(v,w,w1,X0,X1,X2),X2,continuous(v,X0,continuous(v,w,w1,X0,X1,X2),X3,X4,X2),continuous(v,w,w1,X0,X1,X2))
| ~ equidistant(v,X1,v,X2)
| ~ between(v,w,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_438])]) ).
fof(f955,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ between(w,X0,X1)
| ~ between(v,w,X1)
| ~ equidistant(v,X1,v,X2)
| continuous(v,w,w1,X0,X1,X2) = inner_pasch(w1,continuous(v,w,w1,X0,X1,X2),X2,continuous(v,X0,continuous(v,w,w1,X0,X1,X2),X3,X4,X2),continuous(v,w,w1,X0,X1,X2))
| ~ equidistant(v,w,v,w1)
| ~ between(v,X0,X4)
| ~ equidistant(v,X4,v,X2)
| ~ between(X0,X3,X4) )
| ~ spl0_45
| ~ spl0_98 ),
inference(duplicate_literal_removal,[],[f950]) ).
fof(f950,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ between(w,X0,X1)
| ~ between(v,w,X1)
| ~ equidistant(v,X1,v,X2)
| continuous(v,w,w1,X0,X1,X2) = inner_pasch(w1,continuous(v,w,w1,X0,X1,X2),X2,continuous(v,X0,continuous(v,w,w1,X0,X1,X2),X3,X4,X2),continuous(v,w,w1,X0,X1,X2))
| ~ equidistant(v,X1,v,X2)
| ~ equidistant(v,w,v,w1)
| ~ between(w,X0,X1)
| ~ between(v,X0,X4)
| ~ equidistant(v,X4,v,X2)
| ~ between(X0,X3,X4)
| ~ between(v,w,X1) )
| ~ spl0_45
| ~ spl0_98 ),
inference(resolution,[],[f942,f321]) ).
fof(f7124,plain,
( ~ spl0_7
| spl0_437
| ~ spl0_45
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f949,f937,f320,f7122,f55]) ).
fof(f7122,plain,
( spl0_437
<=> ! [X2,X4,X0,X3,X1] :
( ~ between(w,X0,X1)
| ~ between(X0,X3,X4)
| ~ equidistant(u,X4,u,X2)
| ~ between(u,X0,X4)
| continuous(u,w,w1,X0,X1,X2) = inner_pasch(w1,continuous(u,w,w1,X0,X1,X2),X2,continuous(u,X0,continuous(u,w,w1,X0,X1,X2),X3,X4,X2),continuous(u,w,w1,X0,X1,X2))
| ~ equidistant(u,X1,u,X2)
| ~ between(u,w,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_437])]) ).
fof(f949,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ between(w,X0,X1)
| ~ between(u,w,X1)
| ~ equidistant(u,X1,u,X2)
| continuous(u,w,w1,X0,X1,X2) = inner_pasch(w1,continuous(u,w,w1,X0,X1,X2),X2,continuous(u,X0,continuous(u,w,w1,X0,X1,X2),X3,X4,X2),continuous(u,w,w1,X0,X1,X2))
| ~ equidistant(u,w,u,w1)
| ~ between(u,X0,X4)
| ~ equidistant(u,X4,u,X2)
| ~ between(X0,X3,X4) )
| ~ spl0_45
| ~ spl0_97 ),
inference(duplicate_literal_removal,[],[f944]) ).
fof(f944,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ between(w,X0,X1)
| ~ between(u,w,X1)
| ~ equidistant(u,X1,u,X2)
| continuous(u,w,w1,X0,X1,X2) = inner_pasch(w1,continuous(u,w,w1,X0,X1,X2),X2,continuous(u,X0,continuous(u,w,w1,X0,X1,X2),X3,X4,X2),continuous(u,w,w1,X0,X1,X2))
| ~ equidistant(u,X1,u,X2)
| ~ equidistant(u,w,u,w1)
| ~ between(w,X0,X1)
| ~ between(u,X0,X4)
| ~ equidistant(u,X4,u,X2)
| ~ between(X0,X3,X4)
| ~ between(u,w,X1) )
| ~ spl0_45
| ~ spl0_97 ),
inference(resolution,[],[f938,f321]) ).
fof(f7120,plain,
( spl0_436
| ~ spl0_65
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f829,f811,f502,f7118]) ).
fof(f7118,plain,
( spl0_436
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ between(v,X0,X1)
| ~ equidistant(v,X1,v,X2)
| ~ equidistant(v,X0,v,X3)
| ~ between(X0,extension(X4,v,v,w1),X1)
| ~ between(w,X5,continuous(v,X0,X3,extension(X4,v,v,w1),X1,X2))
| ~ between(v,w,continuous(v,X0,X3,extension(X4,v,v,w1),X1,X2))
| w1 = continuous(v,w,w1,X5,continuous(v,X0,X3,extension(X4,v,v,w1),X1,X2),w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_436])]) ).
fof(f502,plain,
( spl0_65
<=> ! [X0,X1] :
( ~ equidistant(v,X0,v,w1)
| ~ between(w,X1,X0)
| ~ between(v,w,X0)
| w1 = continuous(v,w,w1,X1,X0,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f829,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(v,X0,X1)
| ~ equidistant(v,X1,v,X2)
| ~ equidistant(v,X0,v,X3)
| ~ between(X0,extension(X4,v,v,w1),X1)
| ~ between(w,X5,continuous(v,X0,X3,extension(X4,v,v,w1),X1,X2))
| ~ between(v,w,continuous(v,X0,X3,extension(X4,v,v,w1),X1,X2))
| w1 = continuous(v,w,w1,X5,continuous(v,X0,X3,extension(X4,v,v,w1),X1,X2),w1) )
| ~ spl0_65
| ~ spl0_89 ),
inference(resolution,[],[f812,f503]) ).
fof(f503,plain,
( ! [X0,X1] :
( ~ equidistant(v,X0,v,w1)
| ~ between(w,X1,X0)
| ~ between(v,w,X0)
| w1 = continuous(v,w,w1,X1,X0,w1) )
| ~ spl0_65 ),
inference(avatar_component_clause,[],[f502]) ).
fof(f7116,plain,
( spl0_435
| ~ spl0_64
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f826,f811,f498,f7114]) ).
fof(f7114,plain,
( spl0_435
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ between(u,X0,X1)
| ~ equidistant(u,X1,u,X2)
| ~ equidistant(u,X0,u,X3)
| ~ between(X0,extension(X4,u,u,w1),X1)
| ~ between(w,X5,continuous(u,X0,X3,extension(X4,u,u,w1),X1,X2))
| ~ between(u,w,continuous(u,X0,X3,extension(X4,u,u,w1),X1,X2))
| w1 = continuous(u,w,w1,X5,continuous(u,X0,X3,extension(X4,u,u,w1),X1,X2),w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_435])]) ).
fof(f498,plain,
( spl0_64
<=> ! [X0,X1] :
( ~ equidistant(u,X0,u,w1)
| ~ between(w,X1,X0)
| ~ between(u,w,X0)
| w1 = continuous(u,w,w1,X1,X0,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f826,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(u,X0,X1)
| ~ equidistant(u,X1,u,X2)
| ~ equidistant(u,X0,u,X3)
| ~ between(X0,extension(X4,u,u,w1),X1)
| ~ between(w,X5,continuous(u,X0,X3,extension(X4,u,u,w1),X1,X2))
| ~ between(u,w,continuous(u,X0,X3,extension(X4,u,u,w1),X1,X2))
| w1 = continuous(u,w,w1,X5,continuous(u,X0,X3,extension(X4,u,u,w1),X1,X2),w1) )
| ~ spl0_64
| ~ spl0_89 ),
inference(resolution,[],[f812,f499]) ).
fof(f499,plain,
( ! [X0,X1] :
( ~ equidistant(u,X0,u,w1)
| ~ between(w,X1,X0)
| ~ between(u,w,X0)
| w1 = continuous(u,w,w1,X1,X0,w1) )
| ~ spl0_64 ),
inference(avatar_component_clause,[],[f498]) ).
fof(f7059,plain,
( spl0_434
| ~ spl0_87
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f869,f847,f775,f7057]) ).
fof(f7057,plain,
( spl0_434
<=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,continuous(X0,X3,X4,X5,X6,X7),X8)
| ~ equidistant(X0,X8,X0,X9)
| ~ between(X0,X1,X8)
| equidistant(X0,continuous(X0,X1,X2,continuous(X0,X3,X4,X5,X6,X7),X8,X9),X10,X11)
| ~ equidistant(X0,X3,X0,X4)
| ~ between(X3,X5,X6)
| ~ equidistant(X0,X5,extension(X12,X13,X10,X11),X13)
| ~ between(X0,X3,X6)
| ~ equidistant(X0,X6,X0,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_434])]) ).
fof(f869,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,continuous(X0,X3,X4,X5,X6,X7),X8)
| ~ equidistant(X0,X8,X0,X9)
| ~ between(X0,X1,X8)
| equidistant(X0,continuous(X0,X1,X2,continuous(X0,X3,X4,X5,X6,X7),X8,X9),X10,X11)
| ~ equidistant(X0,X3,X0,X4)
| ~ between(X3,X5,X6)
| ~ equidistant(X0,X5,extension(X12,X13,X10,X11),X13)
| ~ between(X0,X3,X6)
| ~ equidistant(X0,X6,X0,X7) )
| ~ spl0_87
| ~ spl0_91 ),
inference(resolution,[],[f848,f776]) ).
fof(f7022,plain,
( spl0_433
| ~ spl0_39
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f816,f811,f264,f7020]) ).
fof(f7020,plain,
( spl0_433
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ between(X0,X1,X2)
| ~ equidistant(X0,X2,X0,X3)
| ~ equidistant(X0,X1,X0,X4)
| ~ between(X1,extension(X5,X0,X6,X7),X2)
| ~ between(X8,X0,continuous(X0,X1,X4,extension(X5,X0,X6,X7),X2,X3))
| X0 = X8
| ~ equidistant(X8,X6,X9,X0)
| ~ between(X9,X6,X7)
| ~ equidistant(X8,X0,X9,X6)
| equidistant(continuous(X0,X1,X4,extension(X5,X0,X6,X7),X2,X3),X6,X7,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_433])]) ).
fof(f264,plain,
( spl0_39
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ between(X0,X1,X2)
| ~ between(X3,X4,X5)
| X3 = X4
| ~ equidistant(X3,X1,X0,X4)
| ~ equidistant(X4,X5,X1,X2)
| ~ equidistant(X3,X4,X0,X1)
| equidistant(X5,X1,X2,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f816,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ between(X0,X1,X2)
| ~ equidistant(X0,X2,X0,X3)
| ~ equidistant(X0,X1,X0,X4)
| ~ between(X1,extension(X5,X0,X6,X7),X2)
| ~ between(X8,X0,continuous(X0,X1,X4,extension(X5,X0,X6,X7),X2,X3))
| X0 = X8
| ~ equidistant(X8,X6,X9,X0)
| ~ between(X9,X6,X7)
| ~ equidistant(X8,X0,X9,X6)
| equidistant(continuous(X0,X1,X4,extension(X5,X0,X6,X7),X2,X3),X6,X7,X0) )
| ~ spl0_39
| ~ spl0_89 ),
inference(resolution,[],[f812,f265]) ).
fof(f265,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X4,X5,X1,X2)
| ~ between(X3,X4,X5)
| X3 = X4
| ~ equidistant(X3,X1,X0,X4)
| ~ between(X0,X1,X2)
| ~ equidistant(X3,X4,X0,X1)
| equidistant(X5,X1,X2,X4) )
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f7018,plain,
( spl0_432
| ~ spl0_70
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f785,f775,f560,f7016]) ).
fof(f7016,plain,
( spl0_432
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X5,X6)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X7)
| ~ between(X0,continuous(X0,X1,X2,X3,X4,X7),X8)
| continuous(X0,X1,X2,X3,X4,X7) = X0
| ~ between(X6,X5,X9)
| ~ equidistant(continuous(X0,X1,X2,X3,X4,X7),X8,X5,X9)
| equidistant(X8,continuous(X0,X1,X2,X3,X4,X7),X9,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_432])]) ).
fof(f785,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X5,X6)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X7)
| ~ between(X0,continuous(X0,X1,X2,X3,X4,X7),X8)
| continuous(X0,X1,X2,X3,X4,X7) = X0
| ~ between(X6,X5,X9)
| ~ equidistant(continuous(X0,X1,X2,X3,X4,X7),X8,X5,X9)
| equidistant(X8,continuous(X0,X1,X2,X3,X4,X7),X9,X5) )
| ~ spl0_70
| ~ spl0_87 ),
inference(resolution,[],[f776,f561]) ).
fof(f6988,plain,
( spl0_431
| ~ spl0_38
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f828,f811,f252,f6986]) ).
fof(f6986,plain,
( spl0_431
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ between(v,X0,X1)
| ~ equidistant(v,X1,v,X2)
| ~ equidistant(v,X0,v,X3)
| ~ between(X0,extension(X4,v,v,X5),X1)
| ~ between(X6,v,continuous(v,X0,X3,extension(X4,v,v,X5),X1,X2))
| v = X6
| ~ equidistant(X6,w,X7,w1)
| ~ between(X7,v,X5)
| ~ equidistant(X6,v,X7,v)
| equidistant(continuous(v,X0,X3,extension(X4,v,v,X5),X1,X2),w,X5,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_431])]) ).
fof(f252,plain,
( spl0_38
<=> ! [X0,X3,X2,X1] :
( ~ between(X0,v,X1)
| ~ between(X2,v,X3)
| v = X2
| ~ equidistant(X2,w,X0,w1)
| ~ equidistant(v,X3,v,X1)
| ~ equidistant(X2,v,X0,v)
| equidistant(X3,w,X1,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f828,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ between(v,X0,X1)
| ~ equidistant(v,X1,v,X2)
| ~ equidistant(v,X0,v,X3)
| ~ between(X0,extension(X4,v,v,X5),X1)
| ~ between(X6,v,continuous(v,X0,X3,extension(X4,v,v,X5),X1,X2))
| v = X6
| ~ equidistant(X6,w,X7,w1)
| ~ between(X7,v,X5)
| ~ equidistant(X6,v,X7,v)
| equidistant(continuous(v,X0,X3,extension(X4,v,v,X5),X1,X2),w,X5,w1) )
| ~ spl0_38
| ~ spl0_89 ),
inference(resolution,[],[f812,f253]) ).
fof(f253,plain,
( ! [X2,X3,X0,X1] :
( ~ equidistant(v,X3,v,X1)
| ~ between(X2,v,X3)
| v = X2
| ~ equidistant(X2,w,X0,w1)
| ~ between(X0,v,X1)
| ~ equidistant(X2,v,X0,v)
| equidistant(X3,w,X1,w1) )
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f6984,plain,
( spl0_430
| ~ spl0_37
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f825,f811,f248,f6982]) ).
fof(f6982,plain,
( spl0_430
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ between(u,X0,X1)
| ~ equidistant(u,X1,u,X2)
| ~ equidistant(u,X0,u,X3)
| ~ between(X0,extension(X4,u,u,X5),X1)
| ~ between(X6,u,continuous(u,X0,X3,extension(X4,u,u,X5),X1,X2))
| u = X6
| ~ equidistant(X6,w,X7,w1)
| ~ between(X7,u,X5)
| ~ equidistant(X6,u,X7,u)
| equidistant(continuous(u,X0,X3,extension(X4,u,u,X5),X1,X2),w,X5,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_430])]) ).
fof(f248,plain,
( spl0_37
<=> ! [X0,X3,X2,X1] :
( ~ between(X0,u,X1)
| ~ between(X2,u,X3)
| u = X2
| ~ equidistant(X2,w,X0,w1)
| ~ equidistant(u,X3,u,X1)
| ~ equidistant(X2,u,X0,u)
| equidistant(X3,w,X1,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f825,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ between(u,X0,X1)
| ~ equidistant(u,X1,u,X2)
| ~ equidistant(u,X0,u,X3)
| ~ between(X0,extension(X4,u,u,X5),X1)
| ~ between(X6,u,continuous(u,X0,X3,extension(X4,u,u,X5),X1,X2))
| u = X6
| ~ equidistant(X6,w,X7,w1)
| ~ between(X7,u,X5)
| ~ equidistant(X6,u,X7,u)
| equidistant(continuous(u,X0,X3,extension(X4,u,u,X5),X1,X2),w,X5,w1) )
| ~ spl0_37
| ~ spl0_89 ),
inference(resolution,[],[f812,f249]) ).
fof(f249,plain,
( ! [X2,X3,X0,X1] :
( ~ equidistant(u,X3,u,X1)
| ~ between(X2,u,X3)
| u = X2
| ~ equidistant(X2,w,X0,w1)
| ~ between(X0,u,X1)
| ~ equidistant(X2,u,X0,u)
| equidistant(X3,w,X1,w1) )
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f6980,plain,
( spl0_429
| ~ spl0_70
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f759,f730,f560,f6978]) ).
fof(f6978,plain,
( spl0_429
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,v,w)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X5)
| ~ between(X0,continuous(X0,X1,X2,X3,X4,X5),X6)
| continuous(X0,X1,X2,X3,X4,X5) = X0
| ~ between(v,w1,X7)
| ~ equidistant(continuous(X0,X1,X2,X3,X4,X5),X6,w1,X7)
| equidistant(X6,continuous(X0,X1,X2,X3,X4,X5),X7,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_429])]) ).
fof(f730,plain,
( spl0_85
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ equidistant(X0,X1,X0,X2)
| ~ equidistant(X0,X3,X0,X4)
| ~ between(X3,X5,X1)
| ~ equidistant(X0,X5,v,w)
| ~ between(X0,X3,X1)
| equidistant(X0,continuous(X0,X3,X4,X5,X1,X2),v,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f759,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,v,w)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X5)
| ~ between(X0,continuous(X0,X1,X2,X3,X4,X5),X6)
| continuous(X0,X1,X2,X3,X4,X5) = X0
| ~ between(v,w1,X7)
| ~ equidistant(continuous(X0,X1,X2,X3,X4,X5),X6,w1,X7)
| equidistant(X6,continuous(X0,X1,X2,X3,X4,X5),X7,w1) )
| ~ spl0_70
| ~ spl0_85 ),
inference(resolution,[],[f731,f561]) ).
fof(f731,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( equidistant(X0,continuous(X0,X3,X4,X5,X1,X2),v,w1)
| ~ equidistant(X0,X3,X0,X4)
| ~ between(X3,X5,X1)
| ~ equidistant(X0,X5,v,w)
| ~ between(X0,X3,X1)
| ~ equidistant(X0,X1,X0,X2) )
| ~ spl0_85 ),
inference(avatar_component_clause,[],[f730]) ).
fof(f6976,plain,
( spl0_428
| ~ spl0_70
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f737,f726,f560,f6974]) ).
fof(f6974,plain,
( spl0_428
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,u,w)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X5)
| ~ between(X0,continuous(X0,X1,X2,X3,X4,X5),X6)
| continuous(X0,X1,X2,X3,X4,X5) = X0
| ~ between(u,w1,X7)
| ~ equidistant(continuous(X0,X1,X2,X3,X4,X5),X6,w1,X7)
| equidistant(X6,continuous(X0,X1,X2,X3,X4,X5),X7,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_428])]) ).
fof(f726,plain,
( spl0_84
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ equidistant(X0,X1,X0,X2)
| ~ equidistant(X0,X3,X0,X4)
| ~ between(X3,X5,X1)
| ~ equidistant(X0,X5,u,w)
| ~ between(X0,X3,X1)
| equidistant(X0,continuous(X0,X3,X4,X5,X1,X2),u,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f737,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,u,w)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X5)
| ~ between(X0,continuous(X0,X1,X2,X3,X4,X5),X6)
| continuous(X0,X1,X2,X3,X4,X5) = X0
| ~ between(u,w1,X7)
| ~ equidistant(continuous(X0,X1,X2,X3,X4,X5),X6,w1,X7)
| equidistant(X6,continuous(X0,X1,X2,X3,X4,X5),X7,w1) )
| ~ spl0_70
| ~ spl0_84 ),
inference(resolution,[],[f727,f561]) ).
fof(f727,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( equidistant(X0,continuous(X0,X3,X4,X5,X1,X2),u,w1)
| ~ equidistant(X0,X3,X0,X4)
| ~ between(X3,X5,X1)
| ~ equidistant(X0,X5,u,w)
| ~ between(X0,X3,X1)
| ~ equidistant(X0,X1,X0,X2) )
| ~ spl0_84 ),
inference(avatar_component_clause,[],[f726]) ).
fof(f6875,plain,
( spl0_427
| ~ spl0_52
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f1041,f1032,f379,f6873]) ).
fof(f6873,plain,
( spl0_427
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X5,continuous(X0,X1,X2,X3,X4,X6))
| ~ between(X0,X1,X4)
| ~ between(X7,X0,X8)
| ~ between(X7,X5,X9)
| X5 = X7
| ~ equidistant(X0,X4,X0,X6)
| ~ equidistant(X5,X9,X0,X8)
| ~ equidistant(X7,X5,X7,X0)
| equidistant(X9,continuous(X0,X1,X2,X3,X4,X6),X8,continuous(X0,X1,X2,X3,X4,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_427])]) ).
fof(f1041,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X5,continuous(X0,X1,X2,X3,X4,X6))
| ~ between(X0,X1,X4)
| ~ between(X7,X0,X8)
| ~ between(X7,X5,X9)
| X5 = X7
| ~ equidistant(X0,X4,X0,X6)
| ~ equidistant(X5,X9,X0,X8)
| ~ equidistant(X7,X5,X7,X0)
| equidistant(X9,continuous(X0,X1,X2,X3,X4,X6),X8,continuous(X0,X1,X2,X3,X4,X6)) )
| ~ spl0_52
| ~ spl0_110 ),
inference(resolution,[],[f1033,f380]) ).
fof(f6871,plain,
( spl0_426
| ~ spl0_51
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f1039,f1032,f375,f6869]) ).
fof(f6869,plain,
( spl0_426
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X5,X6)
| ~ between(X0,X1,X4)
| ~ between(continuous(X0,X1,X2,X3,X4,X7),X0,X8)
| ~ between(X6,X5,X9)
| X5 = X6
| ~ equidistant(X0,X4,X0,X7)
| ~ equidistant(X5,X9,X0,X8)
| ~ equidistant(X6,X5,continuous(X0,X1,X2,X3,X4,X7),X0)
| equidistant(X9,X6,X8,continuous(X0,X1,X2,X3,X4,X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_426])]) ).
fof(f1039,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X5,X6)
| ~ between(X0,X1,X4)
| ~ between(continuous(X0,X1,X2,X3,X4,X7),X0,X8)
| ~ between(X6,X5,X9)
| X5 = X6
| ~ equidistant(X0,X4,X0,X7)
| ~ equidistant(X5,X9,X0,X8)
| ~ equidistant(X6,X5,continuous(X0,X1,X2,X3,X4,X7),X0)
| equidistant(X9,X6,X8,continuous(X0,X1,X2,X3,X4,X7)) )
| ~ spl0_51
| ~ spl0_110 ),
inference(resolution,[],[f1033,f376]) ).
fof(f6867,plain,
( spl0_425
| ~ spl0_77
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f791,f775,f652,f6865]) ).
fof(f6865,plain,
( spl0_425
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X5,X0)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X6)
| ~ between(X0,X7,continuous(X0,X1,X2,X3,X4,X6))
| ~ between(X0,X0,continuous(X0,X1,X2,X3,X4,X6))
| ~ between(X8,X0,X5)
| inner_pasch(X0,continuous(X0,X0,X0,X7,continuous(X0,X1,X2,X3,X4,X6),X5),X5,X0,X8) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_425])]) ).
fof(f791,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X5,X0)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X6)
| ~ between(X0,X7,continuous(X0,X1,X2,X3,X4,X6))
| ~ between(X0,X0,continuous(X0,X1,X2,X3,X4,X6))
| ~ between(X8,X0,X5)
| inner_pasch(X0,continuous(X0,X0,X0,X7,continuous(X0,X1,X2,X3,X4,X6),X5),X5,X0,X8) = X0 )
| ~ spl0_77
| ~ spl0_87 ),
inference(resolution,[],[f776,f653]) ).
fof(f6863,plain,
( spl0_424
| ~ spl0_41
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f659,f652,f281,f6861]) ).
fof(f6861,plain,
( spl0_424
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ between(X0,X1,X2)
| ~ between(X0,X0,X2)
| ~ between(X3,X0,continuous(X0,X4,X5,X6,X7,X8))
| inner_pasch(X0,continuous(X0,X0,X0,X1,X2,continuous(X0,X4,X5,X6,X7,X8)),continuous(X0,X4,X5,X6,X7,X8),X0,X3) = X0
| ~ equidistant(X0,X7,X0,X8)
| ~ equidistant(X0,X4,X0,X5)
| ~ between(X4,X6,X7)
| ~ equidistant(X0,X6,X0,X2)
| ~ between(X0,X4,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_424])]) ).
fof(f659,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ between(X0,X1,X2)
| ~ between(X0,X0,X2)
| ~ between(X3,X0,continuous(X0,X4,X5,X6,X7,X8))
| inner_pasch(X0,continuous(X0,X0,X0,X1,X2,continuous(X0,X4,X5,X6,X7,X8)),continuous(X0,X4,X5,X6,X7,X8),X0,X3) = X0
| ~ equidistant(X0,X7,X0,X8)
| ~ equidistant(X0,X4,X0,X5)
| ~ between(X4,X6,X7)
| ~ equidistant(X0,X6,X0,X2)
| ~ between(X0,X4,X7) )
| ~ spl0_41
| ~ spl0_77 ),
inference(resolution,[],[f653,f282]) ).
fof(f6802,plain,
( spl0_423
| ~ spl0_76
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f799,f775,f630,f6800]) ).
fof(f6800,plain,
( spl0_423
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ equidistant(v,X0,v,X1)
| ~ between(X0,X2,X3)
| ~ equidistant(v,X2,X4,v)
| ~ between(v,X0,X3)
| ~ equidistant(v,X3,v,X5)
| ~ between(w,X6,continuous(v,X0,X1,X2,X3,X5))
| ~ between(v,w,continuous(v,X0,X1,X2,X3,X5))
| ~ between(X7,w1,X4)
| w1 = inner_pasch(w1,continuous(v,w,w1,X6,continuous(v,X0,X1,X2,X3,X5),X4),X4,w1,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_423])]) ).
fof(f799,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(v,X0,v,X1)
| ~ between(X0,X2,X3)
| ~ equidistant(v,X2,X4,v)
| ~ between(v,X0,X3)
| ~ equidistant(v,X3,v,X5)
| ~ between(w,X6,continuous(v,X0,X1,X2,X3,X5))
| ~ between(v,w,continuous(v,X0,X1,X2,X3,X5))
| ~ between(X7,w1,X4)
| w1 = inner_pasch(w1,continuous(v,w,w1,X6,continuous(v,X0,X1,X2,X3,X5),X4),X4,w1,X7) )
| ~ spl0_76
| ~ spl0_87 ),
inference(resolution,[],[f776,f631]) ).
fof(f6798,plain,
( spl0_422
| ~ spl0_74
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f796,f775,f621,f6796]) ).
fof(f6796,plain,
( spl0_422
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ equidistant(u,X0,u,X1)
| ~ between(X0,X2,X3)
| ~ equidistant(u,X2,X4,u)
| ~ between(u,X0,X3)
| ~ equidistant(u,X3,u,X5)
| ~ between(w,X6,continuous(u,X0,X1,X2,X3,X5))
| ~ between(u,w,continuous(u,X0,X1,X2,X3,X5))
| ~ between(X7,w1,X4)
| w1 = inner_pasch(w1,continuous(u,w,w1,X6,continuous(u,X0,X1,X2,X3,X5),X4),X4,w1,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_422])]) ).
fof(f796,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(u,X0,u,X1)
| ~ between(X0,X2,X3)
| ~ equidistant(u,X2,X4,u)
| ~ between(u,X0,X3)
| ~ equidistant(u,X3,u,X5)
| ~ between(w,X6,continuous(u,X0,X1,X2,X3,X5))
| ~ between(u,w,continuous(u,X0,X1,X2,X3,X5))
| ~ between(X7,w1,X4)
| w1 = inner_pasch(w1,continuous(u,w,w1,X6,continuous(u,X0,X1,X2,X3,X5),X4),X4,w1,X7) )
| ~ spl0_74
| ~ spl0_87 ),
inference(resolution,[],[f776,f622]) ).
fof(f6794,plain,
( spl0_421
| ~ spl0_76
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f768,f730,f630,f6792]) ).
fof(f6792,plain,
( spl0_421
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ equidistant(v,X0,v,X1)
| ~ between(X0,X2,X3)
| ~ equidistant(v,X2,v,w)
| ~ between(v,X0,X3)
| ~ equidistant(v,X3,v,X4)
| ~ between(w,X5,continuous(v,X0,X1,X2,X3,X4))
| ~ between(v,w,continuous(v,X0,X1,X2,X3,X4))
| ~ between(X6,w1,w1)
| w1 = inner_pasch(w1,continuous(v,w,w1,X5,continuous(v,X0,X1,X2,X3,X4),w1),w1,w1,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_421])]) ).
fof(f768,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ equidistant(v,X0,v,X1)
| ~ between(X0,X2,X3)
| ~ equidistant(v,X2,v,w)
| ~ between(v,X0,X3)
| ~ equidistant(v,X3,v,X4)
| ~ between(w,X5,continuous(v,X0,X1,X2,X3,X4))
| ~ between(v,w,continuous(v,X0,X1,X2,X3,X4))
| ~ between(X6,w1,w1)
| w1 = inner_pasch(w1,continuous(v,w,w1,X5,continuous(v,X0,X1,X2,X3,X4),w1),w1,w1,X6) )
| ~ spl0_76
| ~ spl0_85 ),
inference(resolution,[],[f731,f631]) ).
fof(f6790,plain,
( spl0_420
| ~ spl0_77
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f764,f730,f652,f6788]) ).
fof(f6788,plain,
( spl0_420
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ equidistant(v,X0,v,X1)
| ~ between(X0,X2,X3)
| ~ equidistant(v,X2,v,w)
| ~ between(v,X0,X3)
| ~ equidistant(v,X3,v,X4)
| ~ between(v,X5,continuous(v,X0,X1,X2,X3,X4))
| ~ between(v,v,continuous(v,X0,X1,X2,X3,X4))
| ~ between(X6,v,w1)
| v = inner_pasch(v,continuous(v,v,v,X5,continuous(v,X0,X1,X2,X3,X4),w1),w1,v,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_420])]) ).
fof(f764,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ equidistant(v,X0,v,X1)
| ~ between(X0,X2,X3)
| ~ equidistant(v,X2,v,w)
| ~ between(v,X0,X3)
| ~ equidistant(v,X3,v,X4)
| ~ between(v,X5,continuous(v,X0,X1,X2,X3,X4))
| ~ between(v,v,continuous(v,X0,X1,X2,X3,X4))
| ~ between(X6,v,w1)
| v = inner_pasch(v,continuous(v,v,v,X5,continuous(v,X0,X1,X2,X3,X4),w1),w1,v,X6) )
| ~ spl0_77
| ~ spl0_85 ),
inference(resolution,[],[f731,f653]) ).
fof(f6753,plain,
( spl0_419
| ~ spl0_74
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f746,f726,f621,f6751]) ).
fof(f6751,plain,
( spl0_419
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ equidistant(u,X0,u,X1)
| ~ between(X0,X2,X3)
| ~ equidistant(u,X2,u,w)
| ~ between(u,X0,X3)
| ~ equidistant(u,X3,u,X4)
| ~ between(w,X5,continuous(u,X0,X1,X2,X3,X4))
| ~ between(u,w,continuous(u,X0,X1,X2,X3,X4))
| ~ between(X6,w1,w1)
| w1 = inner_pasch(w1,continuous(u,w,w1,X5,continuous(u,X0,X1,X2,X3,X4),w1),w1,w1,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_419])]) ).
fof(f746,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ equidistant(u,X0,u,X1)
| ~ between(X0,X2,X3)
| ~ equidistant(u,X2,u,w)
| ~ between(u,X0,X3)
| ~ equidistant(u,X3,u,X4)
| ~ between(w,X5,continuous(u,X0,X1,X2,X3,X4))
| ~ between(u,w,continuous(u,X0,X1,X2,X3,X4))
| ~ between(X6,w1,w1)
| w1 = inner_pasch(w1,continuous(u,w,w1,X5,continuous(u,X0,X1,X2,X3,X4),w1),w1,w1,X6) )
| ~ spl0_74
| ~ spl0_84 ),
inference(resolution,[],[f727,f622]) ).
fof(f6749,plain,
( spl0_418
| ~ spl0_77
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f742,f726,f652,f6747]) ).
fof(f6747,plain,
( spl0_418
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ equidistant(u,X0,u,X1)
| ~ between(X0,X2,X3)
| ~ equidistant(u,X2,u,w)
| ~ between(u,X0,X3)
| ~ equidistant(u,X3,u,X4)
| ~ between(u,X5,continuous(u,X0,X1,X2,X3,X4))
| ~ between(u,u,continuous(u,X0,X1,X2,X3,X4))
| ~ between(X6,u,w1)
| u = inner_pasch(u,continuous(u,u,u,X5,continuous(u,X0,X1,X2,X3,X4),w1),w1,u,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_418])]) ).
fof(f742,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ equidistant(u,X0,u,X1)
| ~ between(X0,X2,X3)
| ~ equidistant(u,X2,u,w)
| ~ between(u,X0,X3)
| ~ equidistant(u,X3,u,X4)
| ~ between(u,X5,continuous(u,X0,X1,X2,X3,X4))
| ~ between(u,u,continuous(u,X0,X1,X2,X3,X4))
| ~ between(X6,u,w1)
| u = inner_pasch(u,continuous(u,u,u,X5,continuous(u,X0,X1,X2,X3,X4),w1),w1,u,X6) )
| ~ spl0_77
| ~ spl0_84 ),
inference(resolution,[],[f727,f653]) ).
fof(f6745,plain,
( spl0_417
| ~ spl0_41
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f646,f630,f281,f6743]) ).
fof(f6743,plain,
( spl0_417
<=> ! [X5,X3,X4,X2,X0,X6,X1,X7] :
( ~ between(w,X0,X1)
| ~ between(v,w,X1)
| ~ between(X2,w1,continuous(v,X3,X4,X5,X6,X7))
| w1 = inner_pasch(w1,continuous(v,w,w1,X0,X1,continuous(v,X3,X4,X5,X6,X7)),continuous(v,X3,X4,X5,X6,X7),w1,X2)
| ~ equidistant(v,X6,v,X7)
| ~ equidistant(v,X3,v,X4)
| ~ between(X3,X5,X6)
| ~ equidistant(v,X5,v,X1)
| ~ between(v,X3,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_417])]) ).
fof(f646,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ between(w,X0,X1)
| ~ between(v,w,X1)
| ~ between(X2,w1,continuous(v,X3,X4,X5,X6,X7))
| w1 = inner_pasch(w1,continuous(v,w,w1,X0,X1,continuous(v,X3,X4,X5,X6,X7)),continuous(v,X3,X4,X5,X6,X7),w1,X2)
| ~ equidistant(v,X6,v,X7)
| ~ equidistant(v,X3,v,X4)
| ~ between(X3,X5,X6)
| ~ equidistant(v,X5,v,X1)
| ~ between(v,X3,X6) )
| ~ spl0_41
| ~ spl0_76 ),
inference(resolution,[],[f631,f282]) ).
fof(f6741,plain,
( spl0_416
| ~ spl0_41
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f637,f621,f281,f6739]) ).
fof(f6739,plain,
( spl0_416
<=> ! [X5,X3,X4,X2,X0,X6,X1,X7] :
( ~ between(w,X0,X1)
| ~ between(u,w,X1)
| ~ between(X2,w1,continuous(u,X3,X4,X5,X6,X7))
| w1 = inner_pasch(w1,continuous(u,w,w1,X0,X1,continuous(u,X3,X4,X5,X6,X7)),continuous(u,X3,X4,X5,X6,X7),w1,X2)
| ~ equidistant(u,X6,u,X7)
| ~ equidistant(u,X3,u,X4)
| ~ between(X3,X5,X6)
| ~ equidistant(u,X5,u,X1)
| ~ between(u,X3,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_416])]) ).
fof(f637,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ between(w,X0,X1)
| ~ between(u,w,X1)
| ~ between(X2,w1,continuous(u,X3,X4,X5,X6,X7))
| w1 = inner_pasch(w1,continuous(u,w,w1,X0,X1,continuous(u,X3,X4,X5,X6,X7)),continuous(u,X3,X4,X5,X6,X7),w1,X2)
| ~ equidistant(u,X6,u,X7)
| ~ equidistant(u,X3,u,X4)
| ~ between(X3,X5,X6)
| ~ equidistant(u,X5,u,X1)
| ~ between(u,X3,X6) )
| ~ spl0_41
| ~ spl0_74 ),
inference(resolution,[],[f622,f282]) ).
fof(f6633,plain,
( spl0_415
| ~ spl0_89
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f887,f875,f811,f6631]) ).
fof(f6631,plain,
( spl0_415
<=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X5,continuous(X5,X6,X7,extension(X8,X5,X9,X10),X11,X12))
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X13)
| equidistant(X9,X10,X0,continuous(X0,X1,X2,X3,X4,X13))
| ~ between(X5,X6,X11)
| ~ equidistant(X5,X11,X5,X12)
| ~ equidistant(X5,X6,X5,X7)
| ~ between(X6,extension(X8,X5,X9,X10),X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_415])]) ).
fof(f875,plain,
( spl0_93
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ equidistant(X0,X3,X0,X4)
| ~ between(X3,X5,X1)
| ~ equidistant(X0,X5,X6,X7)
| ~ between(X0,X3,X1)
| ~ equidistant(X6,X7,X8,X9)
| equidistant(X8,X9,X0,continuous(X0,X3,X4,X5,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f887,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X5,continuous(X5,X6,X7,extension(X8,X5,X9,X10),X11,X12))
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X13)
| equidistant(X9,X10,X0,continuous(X0,X1,X2,X3,X4,X13))
| ~ between(X5,X6,X11)
| ~ equidistant(X5,X11,X5,X12)
| ~ equidistant(X5,X6,X5,X7)
| ~ between(X6,extension(X8,X5,X9,X10),X11) )
| ~ spl0_89
| ~ spl0_93 ),
inference(resolution,[],[f876,f812]) ).
fof(f876,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X6,X7,X8,X9)
| ~ equidistant(X0,X3,X0,X4)
| ~ between(X3,X5,X1)
| ~ equidistant(X0,X5,X6,X7)
| ~ between(X0,X3,X1)
| ~ equidistant(X0,X1,X0,X2)
| equidistant(X8,X9,X0,continuous(X0,X3,X4,X5,X1,X2)) )
| ~ spl0_93 ),
inference(avatar_component_clause,[],[f875]) ).
fof(f6629,plain,
( spl0_414
| ~ spl0_23
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f792,f775,f135,f6627]) ).
fof(f6627,plain,
( spl0_414
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X5,X0)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X6)
| between(X0,X7,X8)
| between(X8,X0,X7)
| between(X7,X8,X0)
| continuous(X0,X1,X2,X3,X4,X6) = X5
| ~ equidistant(X8,continuous(X0,X1,X2,X3,X4,X6),X8,X5)
| ~ equidistant(X7,continuous(X0,X1,X2,X3,X4,X6),X7,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_414])]) ).
fof(f792,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X5,X0)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X6)
| between(X0,X7,X8)
| between(X8,X0,X7)
| between(X7,X8,X0)
| continuous(X0,X1,X2,X3,X4,X6) = X5
| ~ equidistant(X8,continuous(X0,X1,X2,X3,X4,X6),X8,X5)
| ~ equidistant(X7,continuous(X0,X1,X2,X3,X4,X6),X7,X5) )
| ~ spl0_23
| ~ spl0_87 ),
inference(resolution,[],[f776,f136]) ).
fof(f6625,plain,
( spl0_413
| ~ spl0_24
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f788,f775,f146,f6623]) ).
fof(f6623,plain,
( spl0_413
<=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X5,X6)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X7)
| ~ between(X8,X6,X9)
| ~ between(X10,X0,X11)
| X0 = X10
| ~ equidistant(X10,continuous(X0,X1,X2,X3,X4,X7),X8,X5)
| ~ equidistant(X0,X11,X6,X9)
| ~ equidistant(X10,X0,X8,X6)
| equidistant(X11,continuous(X0,X1,X2,X3,X4,X7),X9,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_413])]) ).
fof(f788,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X5,X6)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X7)
| ~ between(X8,X6,X9)
| ~ between(X10,X0,X11)
| X0 = X10
| ~ equidistant(X10,continuous(X0,X1,X2,X3,X4,X7),X8,X5)
| ~ equidistant(X0,X11,X6,X9)
| ~ equidistant(X10,X0,X8,X6)
| equidistant(X11,continuous(X0,X1,X2,X3,X4,X7),X9,X5) )
| ~ spl0_24
| ~ spl0_87 ),
inference(resolution,[],[f776,f147]) ).
fof(f6502,plain,
( spl0_412
| ~ spl0_23
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f765,f730,f135,f6500]) ).
fof(f6500,plain,
( spl0_412
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ equidistant(v,X0,v,X1)
| ~ between(X0,X2,X3)
| ~ equidistant(v,X2,v,w)
| ~ between(v,X0,X3)
| ~ equidistant(v,X3,v,X4)
| between(v,X5,X6)
| between(X6,v,X5)
| between(X5,X6,v)
| w1 = continuous(v,X0,X1,X2,X3,X4)
| ~ equidistant(X6,continuous(v,X0,X1,X2,X3,X4),X6,w1)
| ~ equidistant(X5,continuous(v,X0,X1,X2,X3,X4),X5,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_412])]) ).
fof(f765,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ equidistant(v,X0,v,X1)
| ~ between(X0,X2,X3)
| ~ equidistant(v,X2,v,w)
| ~ between(v,X0,X3)
| ~ equidistant(v,X3,v,X4)
| between(v,X5,X6)
| between(X6,v,X5)
| between(X5,X6,v)
| w1 = continuous(v,X0,X1,X2,X3,X4)
| ~ equidistant(X6,continuous(v,X0,X1,X2,X3,X4),X6,w1)
| ~ equidistant(X5,continuous(v,X0,X1,X2,X3,X4),X5,w1) )
| ~ spl0_23
| ~ spl0_85 ),
inference(resolution,[],[f731,f136]) ).
fof(f6498,plain,
( spl0_411
| ~ spl0_24
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f762,f730,f146,f6496]) ).
fof(f6496,plain,
( spl0_411
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,v,w)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X5)
| ~ between(X6,v,X7)
| ~ between(X8,X0,X9)
| X0 = X8
| ~ equidistant(X8,continuous(X0,X1,X2,X3,X4,X5),X6,w1)
| ~ equidistant(X0,X9,v,X7)
| ~ equidistant(X8,X0,X6,v)
| equidistant(X9,continuous(X0,X1,X2,X3,X4,X5),X7,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_411])]) ).
fof(f762,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,v,w)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X5)
| ~ between(X6,v,X7)
| ~ between(X8,X0,X9)
| X0 = X8
| ~ equidistant(X8,continuous(X0,X1,X2,X3,X4,X5),X6,w1)
| ~ equidistant(X0,X9,v,X7)
| ~ equidistant(X8,X0,X6,v)
| equidistant(X9,continuous(X0,X1,X2,X3,X4,X5),X7,w1) )
| ~ spl0_24
| ~ spl0_85 ),
inference(resolution,[],[f731,f147]) ).
fof(f6494,plain,
( spl0_410
| ~ spl0_23
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f743,f726,f135,f6492]) ).
fof(f6492,plain,
( spl0_410
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ equidistant(u,X0,u,X1)
| ~ between(X0,X2,X3)
| ~ equidistant(u,X2,u,w)
| ~ between(u,X0,X3)
| ~ equidistant(u,X3,u,X4)
| between(u,X5,X6)
| between(X6,u,X5)
| between(X5,X6,u)
| w1 = continuous(u,X0,X1,X2,X3,X4)
| ~ equidistant(X6,continuous(u,X0,X1,X2,X3,X4),X6,w1)
| ~ equidistant(X5,continuous(u,X0,X1,X2,X3,X4),X5,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_410])]) ).
fof(f743,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ equidistant(u,X0,u,X1)
| ~ between(X0,X2,X3)
| ~ equidistant(u,X2,u,w)
| ~ between(u,X0,X3)
| ~ equidistant(u,X3,u,X4)
| between(u,X5,X6)
| between(X6,u,X5)
| between(X5,X6,u)
| w1 = continuous(u,X0,X1,X2,X3,X4)
| ~ equidistant(X6,continuous(u,X0,X1,X2,X3,X4),X6,w1)
| ~ equidistant(X5,continuous(u,X0,X1,X2,X3,X4),X5,w1) )
| ~ spl0_23
| ~ spl0_84 ),
inference(resolution,[],[f727,f136]) ).
fof(f6490,plain,
( spl0_409
| ~ spl0_24
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f740,f726,f146,f6488]) ).
fof(f6488,plain,
( spl0_409
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,u,w)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X5)
| ~ between(X6,u,X7)
| ~ between(X8,X0,X9)
| X0 = X8
| ~ equidistant(X8,continuous(X0,X1,X2,X3,X4,X5),X6,w1)
| ~ equidistant(X0,X9,u,X7)
| ~ equidistant(X8,X0,X6,u)
| equidistant(X9,continuous(X0,X1,X2,X3,X4,X5),X7,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_409])]) ).
fof(f740,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,u,w)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X5)
| ~ between(X6,u,X7)
| ~ between(X8,X0,X9)
| X0 = X8
| ~ equidistant(X8,continuous(X0,X1,X2,X3,X4,X5),X6,w1)
| ~ equidistant(X0,X9,u,X7)
| ~ equidistant(X8,X0,X6,u)
| equidistant(X9,continuous(X0,X1,X2,X3,X4,X5),X7,w1) )
| ~ spl0_24
| ~ spl0_84 ),
inference(resolution,[],[f727,f147]) ).
fof(f6428,plain,
( spl0_408
| ~ spl0_42
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f706,f671,f296,f6426]) ).
fof(f6426,plain,
( spl0_408
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( inner_pasch(X0,X1,euclid2(X0,X2,X3,X1,X4),continuous(X5,extension(X6,X5,X5,X1),X1,X7,X8,euclid2(X0,X2,X3,X1,X4)),X1) = X1
| ~ between(X2,X3,X1)
| ~ between(X0,X3,X4)
| X0 = X3
| ~ equidistant(X5,X8,X5,euclid2(X0,X2,X3,X1,X4))
| ~ between(extension(X6,X5,X5,X1),X7,X8)
| ~ between(X5,extension(X6,X5,X5,X1),X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_408])]) ).
fof(f706,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( inner_pasch(X0,X1,euclid2(X0,X2,X3,X1,X4),continuous(X5,extension(X6,X5,X5,X1),X1,X7,X8,euclid2(X0,X2,X3,X1,X4)),X1) = X1
| ~ between(X2,X3,X1)
| ~ between(X0,X3,X4)
| X0 = X3
| ~ equidistant(X5,X8,X5,euclid2(X0,X2,X3,X1,X4))
| ~ between(extension(X6,X5,X5,X1),X7,X8)
| ~ between(X5,extension(X6,X5,X5,X1),X8) )
| ~ spl0_42
| ~ spl0_79 ),
inference(resolution,[],[f672,f297]) ).
fof(f6424,plain,
( spl0_407
| ~ spl0_42
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f686,f667,f296,f6422]) ).
fof(f6422,plain,
( spl0_407
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( inner_pasch(X0,X1,euclid1(X0,X1,X2,X3,X4),continuous(X5,extension(X6,X5,X5,X1),X1,X7,X8,euclid1(X0,X1,X2,X3,X4)),X1) = X1
| ~ between(X1,X2,X3)
| ~ between(X0,X2,X4)
| X0 = X2
| ~ equidistant(X5,X8,X5,euclid1(X0,X1,X2,X3,X4))
| ~ between(extension(X6,X5,X5,X1),X7,X8)
| ~ between(X5,extension(X6,X5,X5,X1),X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_407])]) ).
fof(f686,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( inner_pasch(X0,X1,euclid1(X0,X1,X2,X3,X4),continuous(X5,extension(X6,X5,X5,X1),X1,X7,X8,euclid1(X0,X1,X2,X3,X4)),X1) = X1
| ~ between(X1,X2,X3)
| ~ between(X0,X2,X4)
| X0 = X2
| ~ equidistant(X5,X8,X5,euclid1(X0,X1,X2,X3,X4))
| ~ between(extension(X6,X5,X5,X1),X7,X8)
| ~ between(X5,extension(X6,X5,X5,X1),X8) )
| ~ spl0_42
| ~ spl0_78 ),
inference(resolution,[],[f668,f297]) ).
fof(f6327,plain,
( spl0_406
| ~ spl0_16
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f963,f957,f99,f6325]) ).
fof(f6325,plain,
( spl0_406
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ between(X0,X1,X2)
| ~ between(X0,X0,X2)
| ~ equidistant(X0,X2,X0,X3)
| continuous(X0,X0,X0,X1,X2,X3) = inner_pasch(X0,continuous(X0,X0,X0,X1,X2,X3),X3,inner_pasch(X3,X4,X5,continuous(X0,X0,X0,X1,X2,X3),X6),continuous(X0,X0,X0,X1,X2,X3))
| ~ between(X6,continuous(X0,X0,X0,X1,X2,X3),X5)
| ~ between(X3,X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_406])]) ).
fof(f963,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ between(X0,X1,X2)
| ~ between(X0,X0,X2)
| ~ equidistant(X0,X2,X0,X3)
| continuous(X0,X0,X0,X1,X2,X3) = inner_pasch(X0,continuous(X0,X0,X0,X1,X2,X3),X3,inner_pasch(X3,X4,X5,continuous(X0,X0,X0,X1,X2,X3),X6),continuous(X0,X0,X0,X1,X2,X3))
| ~ between(X6,continuous(X0,X0,X0,X1,X2,X3),X5)
| ~ between(X3,X4,X5) )
| ~ spl0_16
| ~ spl0_99 ),
inference(resolution,[],[f958,f100]) ).
fof(f6323,plain,
( spl0_405
| ~ spl0_15
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f962,f957,f95,f6321]) ).
fof(f6321,plain,
( spl0_405
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ between(X0,X1,X2)
| ~ between(X0,X0,X2)
| ~ equidistant(X0,X2,X0,X3)
| continuous(X0,X0,X0,X1,X2,X3) = inner_pasch(X0,continuous(X0,X0,X0,X1,X2,X3),X3,inner_pasch(X4,continuous(X0,X0,X0,X1,X2,X3),X5,X6,X3),continuous(X0,X0,X0,X1,X2,X3))
| ~ between(X3,X6,X5)
| ~ between(X4,continuous(X0,X0,X0,X1,X2,X3),X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_405])]) ).
fof(f962,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ between(X0,X1,X2)
| ~ between(X0,X0,X2)
| ~ equidistant(X0,X2,X0,X3)
| continuous(X0,X0,X0,X1,X2,X3) = inner_pasch(X0,continuous(X0,X0,X0,X1,X2,X3),X3,inner_pasch(X4,continuous(X0,X0,X0,X1,X2,X3),X5,X6,X3),continuous(X0,X0,X0,X1,X2,X3))
| ~ between(X3,X6,X5)
| ~ between(X4,continuous(X0,X0,X0,X1,X2,X3),X5) )
| ~ spl0_15
| ~ spl0_99 ),
inference(resolution,[],[f958,f96]) ).
fof(f6319,plain,
( spl0_404
| ~ spl0_21
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f793,f775,f121,f6317]) ).
fof(f6317,plain,
( spl0_404
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X5,X0)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X6)
| ~ between(X0,continuous(X0,X1,X2,X3,X4,X6),X7)
| ~ equidistant(X0,X7,X0,X8)
| ~ between(continuous(X0,X1,X2,X3,X4,X6),X9,X7)
| between(X5,continuous(X0,continuous(X0,X1,X2,X3,X4,X6),X5,X9,X7,X8),X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_404])]) ).
fof(f793,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X5,X0)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X6)
| ~ between(X0,continuous(X0,X1,X2,X3,X4,X6),X7)
| ~ equidistant(X0,X7,X0,X8)
| ~ between(continuous(X0,X1,X2,X3,X4,X6),X9,X7)
| between(X5,continuous(X0,continuous(X0,X1,X2,X3,X4,X6),X5,X9,X7,X8),X8) )
| ~ spl0_21
| ~ spl0_87 ),
inference(resolution,[],[f776,f122]) ).
fof(f6148,plain,
( spl0_403
| ~ spl0_16
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f953,f941,f99,f6146]) ).
fof(f6146,plain,
( spl0_403
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ between(w,X0,X1)
| ~ between(v,w,X1)
| ~ equidistant(v,X1,v,X2)
| continuous(v,w,w1,X0,X1,X2) = inner_pasch(w1,continuous(v,w,w1,X0,X1,X2),X2,inner_pasch(X2,X3,X4,continuous(v,w,w1,X0,X1,X2),X5),continuous(v,w,w1,X0,X1,X2))
| ~ between(X5,continuous(v,w,w1,X0,X1,X2),X4)
| ~ between(X2,X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_403])]) ).
fof(f953,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(w,X0,X1)
| ~ between(v,w,X1)
| ~ equidistant(v,X1,v,X2)
| continuous(v,w,w1,X0,X1,X2) = inner_pasch(w1,continuous(v,w,w1,X0,X1,X2),X2,inner_pasch(X2,X3,X4,continuous(v,w,w1,X0,X1,X2),X5),continuous(v,w,w1,X0,X1,X2))
| ~ between(X5,continuous(v,w,w1,X0,X1,X2),X4)
| ~ between(X2,X3,X4) )
| ~ spl0_16
| ~ spl0_98 ),
inference(resolution,[],[f942,f100]) ).
fof(f6144,plain,
( spl0_402
| ~ spl0_15
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f952,f941,f95,f6142]) ).
fof(f6142,plain,
( spl0_402
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ between(w,X0,X1)
| ~ between(v,w,X1)
| ~ equidistant(v,X1,v,X2)
| continuous(v,w,w1,X0,X1,X2) = inner_pasch(w1,continuous(v,w,w1,X0,X1,X2),X2,inner_pasch(X3,continuous(v,w,w1,X0,X1,X2),X4,X5,X2),continuous(v,w,w1,X0,X1,X2))
| ~ between(X2,X5,X4)
| ~ between(X3,continuous(v,w,w1,X0,X1,X2),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_402])]) ).
fof(f952,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(w,X0,X1)
| ~ between(v,w,X1)
| ~ equidistant(v,X1,v,X2)
| continuous(v,w,w1,X0,X1,X2) = inner_pasch(w1,continuous(v,w,w1,X0,X1,X2),X2,inner_pasch(X3,continuous(v,w,w1,X0,X1,X2),X4,X5,X2),continuous(v,w,w1,X0,X1,X2))
| ~ between(X2,X5,X4)
| ~ between(X3,continuous(v,w,w1,X0,X1,X2),X4) )
| ~ spl0_15
| ~ spl0_98 ),
inference(resolution,[],[f942,f96]) ).
fof(f6140,plain,
( spl0_401
| ~ spl0_29
| ~ spl0_144 ),
inference(avatar_split_clause,[],[f1484,f1479,f186,f6137]) ).
fof(f6137,plain,
( spl0_401
<=> w1 = continuous(v,w,w1,w,w,w1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_401])]) ).
fof(f1484,plain,
( w1 = continuous(v,w,w1,w,w,w1)
| ~ spl0_29
| ~ spl0_144 ),
inference(resolution,[],[f1480,f187]) ).
fof(f6135,plain,
( spl0_400
| ~ spl0_16
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f947,f937,f99,f6133]) ).
fof(f6133,plain,
( spl0_400
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ between(w,X0,X1)
| ~ between(u,w,X1)
| ~ equidistant(u,X1,u,X2)
| continuous(u,w,w1,X0,X1,X2) = inner_pasch(w1,continuous(u,w,w1,X0,X1,X2),X2,inner_pasch(X2,X3,X4,continuous(u,w,w1,X0,X1,X2),X5),continuous(u,w,w1,X0,X1,X2))
| ~ between(X5,continuous(u,w,w1,X0,X1,X2),X4)
| ~ between(X2,X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_400])]) ).
fof(f947,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(w,X0,X1)
| ~ between(u,w,X1)
| ~ equidistant(u,X1,u,X2)
| continuous(u,w,w1,X0,X1,X2) = inner_pasch(w1,continuous(u,w,w1,X0,X1,X2),X2,inner_pasch(X2,X3,X4,continuous(u,w,w1,X0,X1,X2),X5),continuous(u,w,w1,X0,X1,X2))
| ~ between(X5,continuous(u,w,w1,X0,X1,X2),X4)
| ~ between(X2,X3,X4) )
| ~ spl0_16
| ~ spl0_97 ),
inference(resolution,[],[f938,f100]) ).
fof(f6131,plain,
( spl0_399
| ~ spl0_15
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f946,f937,f95,f6129]) ).
fof(f6129,plain,
( spl0_399
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ between(w,X0,X1)
| ~ between(u,w,X1)
| ~ equidistant(u,X1,u,X2)
| continuous(u,w,w1,X0,X1,X2) = inner_pasch(w1,continuous(u,w,w1,X0,X1,X2),X2,inner_pasch(X3,continuous(u,w,w1,X0,X1,X2),X4,X5,X2),continuous(u,w,w1,X0,X1,X2))
| ~ between(X2,X5,X4)
| ~ between(X3,continuous(u,w,w1,X0,X1,X2),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_399])]) ).
fof(f946,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(w,X0,X1)
| ~ between(u,w,X1)
| ~ equidistant(u,X1,u,X2)
| continuous(u,w,w1,X0,X1,X2) = inner_pasch(w1,continuous(u,w,w1,X0,X1,X2),X2,inner_pasch(X3,continuous(u,w,w1,X0,X1,X2),X4,X5,X2),continuous(u,w,w1,X0,X1,X2))
| ~ between(X2,X5,X4)
| ~ between(X3,continuous(u,w,w1,X0,X1,X2),X4) )
| ~ spl0_15
| ~ spl0_97 ),
inference(resolution,[],[f938,f96]) ).
fof(f6127,plain,
( spl0_398
| ~ spl0_21
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f766,f730,f121,f6125]) ).
fof(f6125,plain,
( spl0_398
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ equidistant(v,X0,v,X1)
| ~ between(X0,X2,X3)
| ~ equidistant(v,X2,v,w)
| ~ between(v,X0,X3)
| ~ equidistant(v,X3,v,X4)
| ~ between(v,continuous(v,X0,X1,X2,X3,X4),X5)
| ~ equidistant(v,X5,v,X6)
| ~ between(continuous(v,X0,X1,X2,X3,X4),X7,X5)
| between(w1,continuous(v,continuous(v,X0,X1,X2,X3,X4),w1,X7,X5,X6),X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_398])]) ).
fof(f766,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(v,X0,v,X1)
| ~ between(X0,X2,X3)
| ~ equidistant(v,X2,v,w)
| ~ between(v,X0,X3)
| ~ equidistant(v,X3,v,X4)
| ~ between(v,continuous(v,X0,X1,X2,X3,X4),X5)
| ~ equidistant(v,X5,v,X6)
| ~ between(continuous(v,X0,X1,X2,X3,X4),X7,X5)
| between(w1,continuous(v,continuous(v,X0,X1,X2,X3,X4),w1,X7,X5,X6),X6) )
| ~ spl0_21
| ~ spl0_85 ),
inference(resolution,[],[f731,f122]) ).
fof(f6123,plain,
( spl0_397
| ~ spl0_21
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f744,f726,f121,f6121]) ).
fof(f6121,plain,
( spl0_397
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ equidistant(u,X0,u,X1)
| ~ between(X0,X2,X3)
| ~ equidistant(u,X2,u,w)
| ~ between(u,X0,X3)
| ~ equidistant(u,X3,u,X4)
| ~ between(u,continuous(u,X0,X1,X2,X3,X4),X5)
| ~ equidistant(u,X5,u,X6)
| ~ between(continuous(u,X0,X1,X2,X3,X4),X7,X5)
| between(w1,continuous(u,continuous(u,X0,X1,X2,X3,X4),w1,X7,X5,X6),X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_397])]) ).
fof(f744,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(u,X0,u,X1)
| ~ between(X0,X2,X3)
| ~ equidistant(u,X2,u,w)
| ~ between(u,X0,X3)
| ~ equidistant(u,X3,u,X4)
| ~ between(u,continuous(u,X0,X1,X2,X3,X4),X5)
| ~ equidistant(u,X5,u,X6)
| ~ between(continuous(u,X0,X1,X2,X3,X4),X7,X5)
| between(w1,continuous(u,continuous(u,X0,X1,X2,X3,X4),w1,X7,X5,X6),X6) )
| ~ spl0_21
| ~ spl0_84 ),
inference(resolution,[],[f727,f122]) ).
fof(f6119,plain,
( spl0_396
| ~ spl0_33
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f558,f527,f216,f6117]) ).
fof(f6117,plain,
( spl0_396
<=> ! [X3,X4,X0,X5,X2,X1] :
( continuous(v,w,w1,X0,X1,X2) = inner_pasch(continuous(v,w,w1,X0,X1,X2),inner_pasch(X3,X4,X2,continuous(v,w,w1,X0,X1,X2),w1),X3,continuous(v,w,w1,X0,X1,X2),X5)
| ~ between(X5,continuous(v,w,w1,X0,X1,X2),X3)
| ~ between(X3,X4,X2)
| ~ equidistant(v,X1,v,X2)
| ~ between(w,X0,X1)
| ~ between(v,w,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_396])]) ).
fof(f558,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( continuous(v,w,w1,X0,X1,X2) = inner_pasch(continuous(v,w,w1,X0,X1,X2),inner_pasch(X3,X4,X2,continuous(v,w,w1,X0,X1,X2),w1),X3,continuous(v,w,w1,X0,X1,X2),X5)
| ~ between(X5,continuous(v,w,w1,X0,X1,X2),X3)
| ~ between(X3,X4,X2)
| ~ equidistant(v,X1,v,X2)
| ~ between(w,X0,X1)
| ~ between(v,w,X1) )
| ~ spl0_33
| ~ spl0_68 ),
inference(resolution,[],[f528,f217]) ).
fof(f6115,plain,
( spl0_395
| ~ spl0_32
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f557,f527,f212,f6113]) ).
fof(f6113,plain,
( spl0_395
<=> ! [X3,X4,X0,X5,X2,X1] :
( continuous(u,w,w1,X0,X1,X2) = inner_pasch(continuous(u,w,w1,X0,X1,X2),inner_pasch(X3,X4,X2,continuous(u,w,w1,X0,X1,X2),w1),X3,continuous(u,w,w1,X0,X1,X2),X5)
| ~ between(X5,continuous(u,w,w1,X0,X1,X2),X3)
| ~ between(X3,X4,X2)
| ~ equidistant(u,X1,u,X2)
| ~ between(w,X0,X1)
| ~ between(u,w,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_395])]) ).
fof(f557,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( continuous(u,w,w1,X0,X1,X2) = inner_pasch(continuous(u,w,w1,X0,X1,X2),inner_pasch(X3,X4,X2,continuous(u,w,w1,X0,X1,X2),w1),X3,continuous(u,w,w1,X0,X1,X2),X5)
| ~ between(X5,continuous(u,w,w1,X0,X1,X2),X3)
| ~ between(X3,X4,X2)
| ~ equidistant(u,X1,u,X2)
| ~ between(w,X0,X1)
| ~ between(u,w,X1) )
| ~ spl0_32
| ~ spl0_68 ),
inference(resolution,[],[f528,f213]) ).
fof(f6111,plain,
( spl0_394
| ~ spl0_33
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f541,f523,f216,f6109]) ).
fof(f6109,plain,
( spl0_394
<=> ! [X3,X4,X0,X5,X2,X1] :
( continuous(v,w,w1,X0,X1,X2) = inner_pasch(continuous(v,w,w1,X0,X1,X2),inner_pasch(w1,continuous(v,w,w1,X0,X1,X2),X2,X3,X4),X4,continuous(v,w,w1,X0,X1,X2),X5)
| ~ between(X4,X3,X2)
| ~ between(X5,continuous(v,w,w1,X0,X1,X2),X4)
| ~ equidistant(v,X1,v,X2)
| ~ between(w,X0,X1)
| ~ between(v,w,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_394])]) ).
fof(f541,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( continuous(v,w,w1,X0,X1,X2) = inner_pasch(continuous(v,w,w1,X0,X1,X2),inner_pasch(w1,continuous(v,w,w1,X0,X1,X2),X2,X3,X4),X4,continuous(v,w,w1,X0,X1,X2),X5)
| ~ between(X4,X3,X2)
| ~ between(X5,continuous(v,w,w1,X0,X1,X2),X4)
| ~ equidistant(v,X1,v,X2)
| ~ between(w,X0,X1)
| ~ between(v,w,X1) )
| ~ spl0_33
| ~ spl0_67 ),
inference(resolution,[],[f524,f217]) ).
fof(f6107,plain,
( spl0_393
| ~ spl0_32
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f540,f523,f212,f6105]) ).
fof(f6105,plain,
( spl0_393
<=> ! [X3,X4,X0,X5,X2,X1] :
( continuous(u,w,w1,X0,X1,X2) = inner_pasch(continuous(u,w,w1,X0,X1,X2),inner_pasch(w1,continuous(u,w,w1,X0,X1,X2),X2,X3,X4),X4,continuous(u,w,w1,X0,X1,X2),X5)
| ~ between(X4,X3,X2)
| ~ between(X5,continuous(u,w,w1,X0,X1,X2),X4)
| ~ equidistant(u,X1,u,X2)
| ~ between(w,X0,X1)
| ~ between(u,w,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_393])]) ).
fof(f540,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( continuous(u,w,w1,X0,X1,X2) = inner_pasch(continuous(u,w,w1,X0,X1,X2),inner_pasch(w1,continuous(u,w,w1,X0,X1,X2),X2,X3,X4),X4,continuous(u,w,w1,X0,X1,X2),X5)
| ~ between(X4,X3,X2)
| ~ between(X5,continuous(u,w,w1,X0,X1,X2),X4)
| ~ equidistant(u,X1,u,X2)
| ~ between(w,X0,X1)
| ~ between(u,w,X1) )
| ~ spl0_32
| ~ spl0_67 ),
inference(resolution,[],[f524,f213]) ).
fof(f6039,plain,
( spl0_392
| ~ spl0_29
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f1455,f1450,f186,f6036]) ).
fof(f6036,plain,
( spl0_392
<=> w1 = continuous(u,w,w1,w,w,w1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_392])]) ).
fof(f1455,plain,
( w1 = continuous(u,w,w1,w,w,w1)
| ~ spl0_29
| ~ spl0_140 ),
inference(resolution,[],[f1451,f187]) ).
fof(f6018,plain,
( spl0_391
| ~ spl0_87
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f888,f875,f775,f6016]) ).
fof(f6016,plain,
( spl0_391
<=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X5,continuous(X5,X6,X7,X8,X9,X10))
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X11)
| equidistant(X12,X13,X0,continuous(X0,X1,X2,X3,X4,X11))
| ~ equidistant(X5,X6,X5,X7)
| ~ between(X6,X8,X9)
| ~ equidistant(X5,X8,X13,X12)
| ~ between(X5,X6,X9)
| ~ equidistant(X5,X9,X5,X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_391])]) ).
fof(f888,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X5,continuous(X5,X6,X7,X8,X9,X10))
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X11)
| equidistant(X12,X13,X0,continuous(X0,X1,X2,X3,X4,X11))
| ~ equidistant(X5,X6,X5,X7)
| ~ between(X6,X8,X9)
| ~ equidistant(X5,X8,X13,X12)
| ~ between(X5,X6,X9)
| ~ equidistant(X5,X9,X5,X10) )
| ~ spl0_87
| ~ spl0_93 ),
inference(resolution,[],[f876,f776]) ).
fof(f6014,plain,
( spl0_390
| ~ spl0_41
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f882,f875,f281,f6012]) ).
fof(f6012,plain,
( spl0_390
<=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X5,X6)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X7)
| equidistant(X8,continuous(X8,X9,X10,X11,X12,X13),X0,continuous(X0,X1,X2,X3,X4,X7))
| ~ equidistant(X8,X12,X8,X13)
| ~ equidistant(X8,X9,X8,X10)
| ~ between(X9,X11,X12)
| ~ equidistant(X8,X11,X5,X6)
| ~ between(X8,X9,X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_390])]) ).
fof(f882,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X5,X6)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X7)
| equidistant(X8,continuous(X8,X9,X10,X11,X12,X13),X0,continuous(X0,X1,X2,X3,X4,X7))
| ~ equidistant(X8,X12,X8,X13)
| ~ equidistant(X8,X9,X8,X10)
| ~ between(X9,X11,X12)
| ~ equidistant(X8,X11,X5,X6)
| ~ between(X8,X9,X12) )
| ~ spl0_41
| ~ spl0_93 ),
inference(resolution,[],[f876,f282]) ).
fof(f6010,plain,
( spl0_389
| ~ spl0_70
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f610,f606,f560,f6008]) ).
fof(f6008,plain,
( spl0_389
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ between(X0,X1,X2)
| ~ equidistant(X0,X2,X0,X3)
| ~ equidistant(X0,X1,X0,X4)
| ~ between(X1,X5,X2)
| ~ between(X0,continuous(X0,X1,X4,X5,X2,X3),X6)
| continuous(X0,X1,X4,X5,X2,X3) = X0
| ~ between(X5,X0,X7)
| ~ equidistant(continuous(X0,X1,X4,X5,X2,X3),X6,X0,X7)
| equidistant(X6,continuous(X0,X1,X4,X5,X2,X3),X7,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_389])]) ).
fof(f610,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ between(X0,X1,X2)
| ~ equidistant(X0,X2,X0,X3)
| ~ equidistant(X0,X1,X0,X4)
| ~ between(X1,X5,X2)
| ~ between(X0,continuous(X0,X1,X4,X5,X2,X3),X6)
| continuous(X0,X1,X4,X5,X2,X3) = X0
| ~ between(X5,X0,X7)
| ~ equidistant(continuous(X0,X1,X4,X5,X2,X3),X6,X0,X7)
| equidistant(X6,continuous(X0,X1,X4,X5,X2,X3),X7,X0) )
| ~ spl0_70
| ~ spl0_73 ),
inference(resolution,[],[f607,f561]) ).
fof(f5916,plain,
( spl0_388
| ~ spl0_85
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f892,f875,f730,f5914]) ).
fof(f5914,plain,
( spl0_388
<=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X5,continuous(X5,X6,X7,X8,X9,X10))
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X11)
| equidistant(v,w1,X0,continuous(X0,X1,X2,X3,X4,X11))
| ~ equidistant(X5,X6,X5,X7)
| ~ between(X6,X8,X9)
| ~ equidistant(X5,X8,v,w)
| ~ between(X5,X6,X9)
| ~ equidistant(X5,X9,X5,X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_388])]) ).
fof(f892,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X5,continuous(X5,X6,X7,X8,X9,X10))
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X11)
| equidistant(v,w1,X0,continuous(X0,X1,X2,X3,X4,X11))
| ~ equidistant(X5,X6,X5,X7)
| ~ between(X6,X8,X9)
| ~ equidistant(X5,X8,v,w)
| ~ between(X5,X6,X9)
| ~ equidistant(X5,X9,X5,X10) )
| ~ spl0_85
| ~ spl0_93 ),
inference(resolution,[],[f876,f731]) ).
fof(f5912,plain,
( spl0_387
| ~ spl0_84
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f891,f875,f726,f5910]) ).
fof(f5910,plain,
( spl0_387
<=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X5,continuous(X5,X6,X7,X8,X9,X10))
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X11)
| equidistant(u,w1,X0,continuous(X0,X1,X2,X3,X4,X11))
| ~ equidistant(X5,X6,X5,X7)
| ~ between(X6,X8,X9)
| ~ equidistant(X5,X8,u,w)
| ~ between(X5,X6,X9)
| ~ equidistant(X5,X9,X5,X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_387])]) ).
fof(f891,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X5,continuous(X5,X6,X7,X8,X9,X10))
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X11)
| equidistant(u,w1,X0,continuous(X0,X1,X2,X3,X4,X11))
| ~ equidistant(X5,X6,X5,X7)
| ~ between(X6,X8,X9)
| ~ equidistant(X5,X8,u,w)
| ~ between(X5,X6,X9)
| ~ equidistant(X5,X9,X5,X10) )
| ~ spl0_84
| ~ spl0_93 ),
inference(resolution,[],[f876,f727]) ).
fof(f5908,plain,
( spl0_386
| ~ spl0_122
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f1285,f1265,f1152,f5906]) ).
fof(f1285,plain,
( ! [X0,X1] : equidistant(v,w1,extension(X0,X1,v,w),X1)
| ~ spl0_122
| ~ spl0_129 ),
inference(resolution,[],[f1266,f1153]) ).
fof(f5904,plain,
( spl0_385
| ~ spl0_70
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f597,f582,f560,f5902]) ).
fof(f5902,plain,
( spl0_385
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ between(v,X0,X1)
| ~ equidistant(v,X1,v,X2)
| ~ equidistant(v,X0,v,X3)
| ~ between(X0,w,X1)
| ~ between(v,continuous(v,X0,X3,w,X1,X2),X4)
| v = continuous(v,X0,X3,w,X1,X2)
| ~ between(v,w1,X5)
| ~ equidistant(continuous(v,X0,X3,w,X1,X2),X4,w1,X5)
| equidistant(X4,continuous(v,X0,X3,w,X1,X2),X5,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_385])]) ).
fof(f597,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(v,X0,X1)
| ~ equidistant(v,X1,v,X2)
| ~ equidistant(v,X0,v,X3)
| ~ between(X0,w,X1)
| ~ between(v,continuous(v,X0,X3,w,X1,X2),X4)
| v = continuous(v,X0,X3,w,X1,X2)
| ~ between(v,w1,X5)
| ~ equidistant(continuous(v,X0,X3,w,X1,X2),X4,w1,X5)
| equidistant(X4,continuous(v,X0,X3,w,X1,X2),X5,w1) )
| ~ spl0_70
| ~ spl0_72 ),
inference(resolution,[],[f583,f561]) ).
fof(f5900,plain,
( spl0_384
| ~ spl0_70
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f587,f578,f560,f5898]) ).
fof(f5898,plain,
( spl0_384
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ between(u,X0,X1)
| ~ equidistant(u,X1,u,X2)
| ~ equidistant(u,X0,u,X3)
| ~ between(X0,w,X1)
| ~ between(u,continuous(u,X0,X3,w,X1,X2),X4)
| u = continuous(u,X0,X3,w,X1,X2)
| ~ between(u,w1,X5)
| ~ equidistant(continuous(u,X0,X3,w,X1,X2),X4,w1,X5)
| equidistant(X4,continuous(u,X0,X3,w,X1,X2),X5,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_384])]) ).
fof(f587,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(u,X0,X1)
| ~ equidistant(u,X1,u,X2)
| ~ equidistant(u,X0,u,X3)
| ~ between(X0,w,X1)
| ~ between(u,continuous(u,X0,X3,w,X1,X2),X4)
| u = continuous(u,X0,X3,w,X1,X2)
| ~ between(u,w1,X5)
| ~ equidistant(continuous(u,X0,X3,w,X1,X2),X4,w1,X5)
| equidistant(X4,continuous(u,X0,X3,w,X1,X2),X5,w1) )
| ~ spl0_70
| ~ spl0_71 ),
inference(resolution,[],[f579,f561]) ).
fof(f5837,plain,
( spl0_383
| ~ spl0_73
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f663,f652,f606,f5835]) ).
fof(f5835,plain,
( spl0_383
<=> ! [X2,X6,X4,X0,X5,X3,X1] :
( ~ between(X0,X1,continuous(X0,X2,X3,X0,X4,X5))
| ~ between(X0,X0,continuous(X0,X2,X3,X0,X4,X5))
| ~ between(X6,X0,X0)
| inner_pasch(X0,continuous(X0,X0,X0,X1,continuous(X0,X2,X3,X0,X4,X5),X0),X0,X0,X6) = X0
| ~ between(X0,X2,X4)
| ~ equidistant(X0,X4,X0,X5)
| ~ equidistant(X0,X2,X0,X3)
| ~ between(X2,X0,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_383])]) ).
fof(f663,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ between(X0,X1,continuous(X0,X2,X3,X0,X4,X5))
| ~ between(X0,X0,continuous(X0,X2,X3,X0,X4,X5))
| ~ between(X6,X0,X0)
| inner_pasch(X0,continuous(X0,X0,X0,X1,continuous(X0,X2,X3,X0,X4,X5),X0),X0,X0,X6) = X0
| ~ between(X0,X2,X4)
| ~ equidistant(X0,X4,X0,X5)
| ~ equidistant(X0,X2,X0,X3)
| ~ between(X2,X0,X4) )
| ~ spl0_73
| ~ spl0_77 ),
inference(resolution,[],[f653,f607]) ).
fof(f5833,plain,
( spl0_382
| ~ spl0_22
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f656,f652,f129,f5831]) ).
fof(f5831,plain,
( spl0_382
<=> ! [X5,X3,X4,X0,X7,X6,X2,X1] :
( ~ between(X0,X1,X2)
| ~ between(X0,X0,X2)
| ~ between(X3,X0,continuous(X0,X4,X5,X2,X6,X7))
| inner_pasch(X0,continuous(X0,X0,X0,X1,X2,continuous(X0,X4,X5,X2,X6,X7)),continuous(X0,X4,X5,X2,X6,X7),X0,X3) = X0
| ~ between(X0,X4,X6)
| ~ equidistant(X0,X6,X0,X7)
| ~ equidistant(X0,X4,X0,X5)
| ~ between(X4,X2,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_382])]) ).
fof(f656,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ between(X0,X1,X2)
| ~ between(X0,X0,X2)
| ~ between(X3,X0,continuous(X0,X4,X5,X2,X6,X7))
| inner_pasch(X0,continuous(X0,X0,X0,X1,X2,continuous(X0,X4,X5,X2,X6,X7)),continuous(X0,X4,X5,X2,X6,X7),X0,X3) = X0
| ~ between(X0,X4,X6)
| ~ equidistant(X0,X6,X0,X7)
| ~ equidistant(X0,X4,X0,X5)
| ~ between(X4,X2,X6) )
| ~ spl0_22
| ~ spl0_77 ),
inference(resolution,[],[f653,f130]) ).
fof(f5829,plain,
( spl0_381
| ~ spl0_41
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f567,f560,f281,f5827]) ).
fof(f5827,plain,
( spl0_381
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ between(X0,X1,X2)
| X0 = X1
| ~ between(X3,continuous(X3,X4,X5,X6,X7,X8),X9)
| ~ equidistant(X1,X2,continuous(X3,X4,X5,X6,X7,X8),X9)
| equidistant(X2,X1,X9,continuous(X3,X4,X5,X6,X7,X8))
| ~ equidistant(X3,X7,X3,X8)
| ~ equidistant(X3,X4,X3,X5)
| ~ between(X4,X6,X7)
| ~ equidistant(X3,X6,X0,X1)
| ~ between(X3,X4,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_381])]) ).
fof(f567,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ between(X0,X1,X2)
| X0 = X1
| ~ between(X3,continuous(X3,X4,X5,X6,X7,X8),X9)
| ~ equidistant(X1,X2,continuous(X3,X4,X5,X6,X7,X8),X9)
| equidistant(X2,X1,X9,continuous(X3,X4,X5,X6,X7,X8))
| ~ equidistant(X3,X7,X3,X8)
| ~ equidistant(X3,X4,X3,X5)
| ~ between(X4,X6,X7)
| ~ equidistant(X3,X6,X0,X1)
| ~ between(X3,X4,X7) )
| ~ spl0_41
| ~ spl0_70 ),
inference(resolution,[],[f561,f282]) ).
fof(f5825,plain,
( spl0_380
| ~ spl0_48
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f387,f375,f336,f5823]) ).
fof(f5823,plain,
( spl0_380
<=> ! [X5,X3,X4,X0,X7,X6,X2,X1] :
( ~ between(X0,X1,X2)
| X0 = X1
| ~ between(continuous(X1,X3,X4,X0,X5,X6),X1,X7)
| ~ equidistant(X1,X2,X1,X7)
| ~ equidistant(X0,X1,continuous(X1,X3,X4,X0,X5,X6),X1)
| equidistant(X2,X0,X7,continuous(X1,X3,X4,X0,X5,X6))
| ~ between(X1,X3,X5)
| ~ equidistant(X1,X5,X1,X6)
| ~ equidistant(X1,X3,X1,X4)
| ~ between(X3,X0,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_380])]) ).
fof(f387,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ between(X0,X1,X2)
| X0 = X1
| ~ between(continuous(X1,X3,X4,X0,X5,X6),X1,X7)
| ~ equidistant(X1,X2,X1,X7)
| ~ equidistant(X0,X1,continuous(X1,X3,X4,X0,X5,X6),X1)
| equidistant(X2,X0,X7,continuous(X1,X3,X4,X0,X5,X6))
| ~ between(X1,X3,X5)
| ~ equidistant(X1,X5,X1,X6)
| ~ equidistant(X1,X3,X1,X4)
| ~ between(X3,X0,X5) )
| ~ spl0_48
| ~ spl0_51 ),
inference(resolution,[],[f376,f337]) ).
fof(f5821,plain,
( spl0_379
| ~ spl0_121
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f1284,f1265,f1148,f5819]) ).
fof(f1284,plain,
( ! [X0,X1] : equidistant(u,w1,extension(X0,X1,u,w),X1)
| ~ spl0_121
| ~ spl0_129 ),
inference(resolution,[],[f1266,f1149]) ).
fof(f5797,plain,
( spl0_378
| ~ spl0_72
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f662,f652,f582,f5795]) ).
fof(f5795,plain,
( spl0_378
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ between(v,X0,continuous(v,X1,X2,w,X3,X4))
| ~ between(v,v,continuous(v,X1,X2,w,X3,X4))
| ~ between(X5,v,w1)
| v = inner_pasch(v,continuous(v,v,v,X0,continuous(v,X1,X2,w,X3,X4),w1),w1,v,X5)
| ~ between(v,X1,X3)
| ~ equidistant(v,X3,v,X4)
| ~ equidistant(v,X1,v,X2)
| ~ between(X1,w,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_378])]) ).
fof(f662,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(v,X0,continuous(v,X1,X2,w,X3,X4))
| ~ between(v,v,continuous(v,X1,X2,w,X3,X4))
| ~ between(X5,v,w1)
| v = inner_pasch(v,continuous(v,v,v,X0,continuous(v,X1,X2,w,X3,X4),w1),w1,v,X5)
| ~ between(v,X1,X3)
| ~ equidistant(v,X3,v,X4)
| ~ equidistant(v,X1,v,X2)
| ~ between(X1,w,X3) )
| ~ spl0_72
| ~ spl0_77 ),
inference(resolution,[],[f653,f583]) ).
fof(f5793,plain,
( spl0_377
| ~ spl0_71
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f661,f652,f578,f5791]) ).
fof(f5791,plain,
( spl0_377
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ between(u,X0,continuous(u,X1,X2,w,X3,X4))
| ~ between(u,u,continuous(u,X1,X2,w,X3,X4))
| ~ between(X5,u,w1)
| u = inner_pasch(u,continuous(u,u,u,X0,continuous(u,X1,X2,w,X3,X4),w1),w1,u,X5)
| ~ between(u,X1,X3)
| ~ equidistant(u,X3,u,X4)
| ~ equidistant(u,X1,u,X2)
| ~ between(X1,w,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_377])]) ).
fof(f661,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(u,X0,continuous(u,X1,X2,w,X3,X4))
| ~ between(u,u,continuous(u,X1,X2,w,X3,X4))
| ~ between(X5,u,w1)
| u = inner_pasch(u,continuous(u,u,u,X0,continuous(u,X1,X2,w,X3,X4),w1),w1,u,X5)
| ~ between(u,X1,X3)
| ~ equidistant(u,X3,u,X4)
| ~ equidistant(u,X1,u,X2)
| ~ between(X1,w,X3) )
| ~ spl0_71
| ~ spl0_77 ),
inference(resolution,[],[f653,f579]) ).
fof(f5789,plain,
( spl0_376
| ~ spl0_53
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f1263,f1229,f408,f5787]) ).
fof(f5787,plain,
( spl0_376
<=> ! [X0,X1] : equidistant(extension(X0,X1,v,w1),X1,w,v) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_376])]) ).
fof(f1263,plain,
( ! [X0,X1] : equidistant(extension(X0,X1,v,w1),X1,w,v)
| ~ spl0_53
| ~ spl0_128 ),
inference(resolution,[],[f1230,f409]) ).
fof(f5785,plain,
( spl0_375
| ~ spl0_73
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f649,f630,f606,f5783]) ).
fof(f5783,plain,
( spl0_375
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ between(w,X0,continuous(v,X1,X2,v,X3,X4))
| ~ between(v,w,continuous(v,X1,X2,v,X3,X4))
| ~ between(X5,w1,v)
| w1 = inner_pasch(w1,continuous(v,w,w1,X0,continuous(v,X1,X2,v,X3,X4),v),v,w1,X5)
| ~ between(v,X1,X3)
| ~ equidistant(v,X3,v,X4)
| ~ equidistant(v,X1,v,X2)
| ~ between(X1,v,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_375])]) ).
fof(f649,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(w,X0,continuous(v,X1,X2,v,X3,X4))
| ~ between(v,w,continuous(v,X1,X2,v,X3,X4))
| ~ between(X5,w1,v)
| w1 = inner_pasch(w1,continuous(v,w,w1,X0,continuous(v,X1,X2,v,X3,X4),v),v,w1,X5)
| ~ between(v,X1,X3)
| ~ equidistant(v,X3,v,X4)
| ~ equidistant(v,X1,v,X2)
| ~ between(X1,v,X3) )
| ~ spl0_73
| ~ spl0_76 ),
inference(resolution,[],[f631,f607]) ).
fof(f5781,plain,
( spl0_374
| ~ spl0_72
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f648,f630,f582,f5779]) ).
fof(f5779,plain,
( spl0_374
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ between(w,X0,continuous(v,X1,X2,w,X3,X4))
| ~ between(v,w,continuous(v,X1,X2,w,X3,X4))
| ~ between(X5,w1,w1)
| w1 = inner_pasch(w1,continuous(v,w,w1,X0,continuous(v,X1,X2,w,X3,X4),w1),w1,w1,X5)
| ~ between(v,X1,X3)
| ~ equidistant(v,X3,v,X4)
| ~ equidistant(v,X1,v,X2)
| ~ between(X1,w,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_374])]) ).
fof(f648,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(w,X0,continuous(v,X1,X2,w,X3,X4))
| ~ between(v,w,continuous(v,X1,X2,w,X3,X4))
| ~ between(X5,w1,w1)
| w1 = inner_pasch(w1,continuous(v,w,w1,X0,continuous(v,X1,X2,w,X3,X4),w1),w1,w1,X5)
| ~ between(v,X1,X3)
| ~ equidistant(v,X3,v,X4)
| ~ equidistant(v,X1,v,X2)
| ~ between(X1,w,X3) )
| ~ spl0_72
| ~ spl0_76 ),
inference(resolution,[],[f631,f583]) ).
fof(f5777,plain,
( spl0_373
| ~ spl0_22
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f643,f630,f129,f5775]) ).
fof(f5775,plain,
( spl0_373
<=> ! [X5,X3,X4,X2,X0,X6,X1] :
( ~ between(w,X0,X1)
| ~ between(v,w,X1)
| ~ between(X2,w1,continuous(v,X3,X4,X1,X5,X6))
| w1 = inner_pasch(w1,continuous(v,w,w1,X0,X1,continuous(v,X3,X4,X1,X5,X6)),continuous(v,X3,X4,X1,X5,X6),w1,X2)
| ~ between(v,X3,X5)
| ~ equidistant(v,X5,v,X6)
| ~ equidistant(v,X3,v,X4)
| ~ between(X3,X1,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_373])]) ).
fof(f643,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ between(w,X0,X1)
| ~ between(v,w,X1)
| ~ between(X2,w1,continuous(v,X3,X4,X1,X5,X6))
| w1 = inner_pasch(w1,continuous(v,w,w1,X0,X1,continuous(v,X3,X4,X1,X5,X6)),continuous(v,X3,X4,X1,X5,X6),w1,X2)
| ~ between(v,X3,X5)
| ~ equidistant(v,X5,v,X6)
| ~ equidistant(v,X3,v,X4)
| ~ between(X3,X1,X5) )
| ~ spl0_22
| ~ spl0_76 ),
inference(resolution,[],[f631,f130]) ).
fof(f5773,plain,
( spl0_372
| ~ spl0_73
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f640,f621,f606,f5771]) ).
fof(f5771,plain,
( spl0_372
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ between(w,X0,continuous(u,X1,X2,u,X3,X4))
| ~ between(u,w,continuous(u,X1,X2,u,X3,X4))
| ~ between(X5,w1,u)
| w1 = inner_pasch(w1,continuous(u,w,w1,X0,continuous(u,X1,X2,u,X3,X4),u),u,w1,X5)
| ~ between(u,X1,X3)
| ~ equidistant(u,X3,u,X4)
| ~ equidistant(u,X1,u,X2)
| ~ between(X1,u,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_372])]) ).
fof(f640,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(w,X0,continuous(u,X1,X2,u,X3,X4))
| ~ between(u,w,continuous(u,X1,X2,u,X3,X4))
| ~ between(X5,w1,u)
| w1 = inner_pasch(w1,continuous(u,w,w1,X0,continuous(u,X1,X2,u,X3,X4),u),u,w1,X5)
| ~ between(u,X1,X3)
| ~ equidistant(u,X3,u,X4)
| ~ equidistant(u,X1,u,X2)
| ~ between(X1,u,X3) )
| ~ spl0_73
| ~ spl0_74 ),
inference(resolution,[],[f622,f607]) ).
fof(f5769,plain,
( spl0_371
| ~ spl0_71
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f639,f621,f578,f5767]) ).
fof(f5767,plain,
( spl0_371
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ between(w,X0,continuous(u,X1,X2,w,X3,X4))
| ~ between(u,w,continuous(u,X1,X2,w,X3,X4))
| ~ between(X5,w1,w1)
| w1 = inner_pasch(w1,continuous(u,w,w1,X0,continuous(u,X1,X2,w,X3,X4),w1),w1,w1,X5)
| ~ between(u,X1,X3)
| ~ equidistant(u,X3,u,X4)
| ~ equidistant(u,X1,u,X2)
| ~ between(X1,w,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_371])]) ).
fof(f639,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(w,X0,continuous(u,X1,X2,w,X3,X4))
| ~ between(u,w,continuous(u,X1,X2,w,X3,X4))
| ~ between(X5,w1,w1)
| w1 = inner_pasch(w1,continuous(u,w,w1,X0,continuous(u,X1,X2,w,X3,X4),w1),w1,w1,X5)
| ~ between(u,X1,X3)
| ~ equidistant(u,X3,u,X4)
| ~ equidistant(u,X1,u,X2)
| ~ between(X1,w,X3) )
| ~ spl0_71
| ~ spl0_74 ),
inference(resolution,[],[f622,f579]) ).
fof(f5765,plain,
( spl0_370
| ~ spl0_22
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f634,f621,f129,f5763]) ).
fof(f5763,plain,
( spl0_370
<=> ! [X5,X3,X4,X2,X0,X6,X1] :
( ~ between(w,X0,X1)
| ~ between(u,w,X1)
| ~ between(X2,w1,continuous(u,X3,X4,X1,X5,X6))
| w1 = inner_pasch(w1,continuous(u,w,w1,X0,X1,continuous(u,X3,X4,X1,X5,X6)),continuous(u,X3,X4,X1,X5,X6),w1,X2)
| ~ between(u,X3,X5)
| ~ equidistant(u,X5,u,X6)
| ~ equidistant(u,X3,u,X4)
| ~ between(X3,X1,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_370])]) ).
fof(f634,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ between(w,X0,X1)
| ~ between(u,w,X1)
| ~ between(X2,w1,continuous(u,X3,X4,X1,X5,X6))
| w1 = inner_pasch(w1,continuous(u,w,w1,X0,X1,continuous(u,X3,X4,X1,X5,X6)),continuous(u,X3,X4,X1,X5,X6),w1,X2)
| ~ between(u,X3,X5)
| ~ equidistant(u,X5,u,X6)
| ~ equidistant(u,X3,u,X4)
| ~ between(X3,X1,X5) )
| ~ spl0_22
| ~ spl0_74 ),
inference(resolution,[],[f622,f130]) ).
fof(f5731,plain,
( spl0_369
| ~ spl0_39
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f786,f775,f264,f5729]) ).
fof(f5729,plain,
( spl0_369
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X5,X6)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X7)
| ~ between(X8,X0,continuous(X0,X1,X2,X3,X4,X7))
| X0 = X8
| ~ equidistant(X8,X6,X9,X0)
| ~ between(X9,X6,X5)
| ~ equidistant(X8,X0,X9,X6)
| equidistant(continuous(X0,X1,X2,X3,X4,X7),X6,X5,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_369])]) ).
fof(f786,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X5,X6)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X7)
| ~ between(X8,X0,continuous(X0,X1,X2,X3,X4,X7))
| X0 = X8
| ~ equidistant(X8,X6,X9,X0)
| ~ between(X9,X6,X5)
| ~ equidistant(X8,X0,X9,X6)
| equidistant(continuous(X0,X1,X2,X3,X4,X7),X6,X5,X0) )
| ~ spl0_39
| ~ spl0_87 ),
inference(resolution,[],[f776,f265]) ).
fof(f5727,plain,
( spl0_368
| ~ spl0_24
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f613,f606,f146,f5725]) ).
fof(f5725,plain,
( spl0_368
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ between(X0,X1,X2)
| ~ equidistant(X0,X2,X0,X3)
| ~ equidistant(X0,X1,X0,X4)
| ~ between(X1,X5,X2)
| ~ between(X6,X5,X7)
| ~ between(X8,X0,X9)
| X0 = X8
| ~ equidistant(X8,continuous(X0,X1,X4,X5,X2,X3),X6,X0)
| ~ equidistant(X0,X9,X5,X7)
| ~ equidistant(X8,X0,X6,X5)
| equidistant(X9,continuous(X0,X1,X4,X5,X2,X3),X7,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_368])]) ).
fof(f613,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ between(X0,X1,X2)
| ~ equidistant(X0,X2,X0,X3)
| ~ equidistant(X0,X1,X0,X4)
| ~ between(X1,X5,X2)
| ~ between(X6,X5,X7)
| ~ between(X8,X0,X9)
| X0 = X8
| ~ equidistant(X8,continuous(X0,X1,X4,X5,X2,X3),X6,X0)
| ~ equidistant(X0,X9,X5,X7)
| ~ equidistant(X8,X0,X6,X5)
| equidistant(X9,continuous(X0,X1,X4,X5,X2,X3),X7,X0) )
| ~ spl0_24
| ~ spl0_73 ),
inference(resolution,[],[f607,f147]) ).
fof(f5723,plain,
( spl0_367
| ~ spl0_124
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f1262,f1229,f1174,f5721]) ).
fof(f1262,plain,
( ! [X0,X1] : equidistant(X0,extension(X1,X0,v,w1),w,v)
| ~ spl0_124
| ~ spl0_128 ),
inference(resolution,[],[f1230,f1175]) ).
fof(f5665,plain,
( spl0_366
| ~ spl0_53
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f1255,f1225,f408,f5663]) ).
fof(f5663,plain,
( spl0_366
<=> ! [X0,X1] : equidistant(extension(X0,X1,u,w1),X1,w,u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_366])]) ).
fof(f1255,plain,
( ! [X0,X1] : equidistant(extension(X0,X1,u,w1),X1,w,u)
| ~ spl0_53
| ~ spl0_127 ),
inference(resolution,[],[f1226,f409]) ).
fof(f5661,plain,
( spl0_365
| ~ spl0_38
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f800,f775,f252,f5659]) ).
fof(f5659,plain,
( spl0_365
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ equidistant(v,X0,v,X1)
| ~ between(X0,X2,X3)
| ~ equidistant(v,X2,X4,v)
| ~ between(v,X0,X3)
| ~ equidistant(v,X3,v,X5)
| ~ between(X6,v,continuous(v,X0,X1,X2,X3,X5))
| v = X6
| ~ equidistant(X6,w,X7,w1)
| ~ between(X7,v,X4)
| ~ equidistant(X6,v,X7,v)
| equidistant(continuous(v,X0,X1,X2,X3,X5),w,X4,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_365])]) ).
fof(f800,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(v,X0,v,X1)
| ~ between(X0,X2,X3)
| ~ equidistant(v,X2,X4,v)
| ~ between(v,X0,X3)
| ~ equidistant(v,X3,v,X5)
| ~ between(X6,v,continuous(v,X0,X1,X2,X3,X5))
| v = X6
| ~ equidistant(X6,w,X7,w1)
| ~ between(X7,v,X4)
| ~ equidistant(X6,v,X7,v)
| equidistant(continuous(v,X0,X1,X2,X3,X5),w,X4,w1) )
| ~ spl0_38
| ~ spl0_87 ),
inference(resolution,[],[f776,f253]) ).
fof(f5657,plain,
( spl0_364
| ~ spl0_37
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f797,f775,f248,f5655]) ).
fof(f5655,plain,
( spl0_364
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ equidistant(u,X0,u,X1)
| ~ between(X0,X2,X3)
| ~ equidistant(u,X2,X4,u)
| ~ between(u,X0,X3)
| ~ equidistant(u,X3,u,X5)
| ~ between(X6,u,continuous(u,X0,X1,X2,X3,X5))
| u = X6
| ~ equidistant(X6,w,X7,w1)
| ~ between(X7,u,X4)
| ~ equidistant(X6,u,X7,u)
| equidistant(continuous(u,X0,X1,X2,X3,X5),w,X4,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_364])]) ).
fof(f797,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(u,X0,u,X1)
| ~ between(X0,X2,X3)
| ~ equidistant(u,X2,X4,u)
| ~ between(u,X0,X3)
| ~ equidistant(u,X3,u,X5)
| ~ between(X6,u,continuous(u,X0,X1,X2,X3,X5))
| u = X6
| ~ equidistant(X6,w,X7,w1)
| ~ between(X7,u,X4)
| ~ equidistant(X6,u,X7,u)
| equidistant(continuous(u,X0,X1,X2,X3,X5),w,X4,w1) )
| ~ spl0_37
| ~ spl0_87 ),
inference(resolution,[],[f776,f249]) ).
fof(f5653,plain,
( spl0_363
| ~ spl0_38
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f769,f730,f252,f5651]) ).
fof(f5651,plain,
( spl0_363
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ equidistant(v,X0,v,X1)
| ~ between(X0,X2,X3)
| ~ equidistant(v,X2,v,w)
| ~ between(v,X0,X3)
| ~ equidistant(v,X3,v,X4)
| ~ between(X5,v,continuous(v,X0,X1,X2,X3,X4))
| v = X5
| ~ equidistant(X5,w,X6,w1)
| ~ between(X6,v,w1)
| ~ equidistant(X5,v,X6,v)
| equidistant(continuous(v,X0,X1,X2,X3,X4),w,w1,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_363])]) ).
fof(f769,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ equidistant(v,X0,v,X1)
| ~ between(X0,X2,X3)
| ~ equidistant(v,X2,v,w)
| ~ between(v,X0,X3)
| ~ equidistant(v,X3,v,X4)
| ~ between(X5,v,continuous(v,X0,X1,X2,X3,X4))
| v = X5
| ~ equidistant(X5,w,X6,w1)
| ~ between(X6,v,w1)
| ~ equidistant(X5,v,X6,v)
| equidistant(continuous(v,X0,X1,X2,X3,X4),w,w1,w1) )
| ~ spl0_38
| ~ spl0_85 ),
inference(resolution,[],[f731,f253]) ).
fof(f5649,plain,
( spl0_362
| ~ spl0_39
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f760,f730,f264,f5647]) ).
fof(f5647,plain,
( spl0_362
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,v,w)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X5)
| ~ between(X6,X0,continuous(X0,X1,X2,X3,X4,X5))
| X0 = X6
| ~ equidistant(X6,v,X7,X0)
| ~ between(X7,v,w1)
| ~ equidistant(X6,X0,X7,v)
| equidistant(continuous(X0,X1,X2,X3,X4,X5),v,w1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_362])]) ).
fof(f760,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,v,w)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X5)
| ~ between(X6,X0,continuous(X0,X1,X2,X3,X4,X5))
| X0 = X6
| ~ equidistant(X6,v,X7,X0)
| ~ between(X7,v,w1)
| ~ equidistant(X6,X0,X7,v)
| equidistant(continuous(X0,X1,X2,X3,X4,X5),v,w1,X0) )
| ~ spl0_39
| ~ spl0_85 ),
inference(resolution,[],[f731,f265]) ).
fof(f5645,plain,
( spl0_361
| ~ spl0_37
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f747,f726,f248,f5643]) ).
fof(f5643,plain,
( spl0_361
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ equidistant(u,X0,u,X1)
| ~ between(X0,X2,X3)
| ~ equidistant(u,X2,u,w)
| ~ between(u,X0,X3)
| ~ equidistant(u,X3,u,X4)
| ~ between(X5,u,continuous(u,X0,X1,X2,X3,X4))
| u = X5
| ~ equidistant(X5,w,X6,w1)
| ~ between(X6,u,w1)
| ~ equidistant(X5,u,X6,u)
| equidistant(continuous(u,X0,X1,X2,X3,X4),w,w1,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_361])]) ).
fof(f747,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ equidistant(u,X0,u,X1)
| ~ between(X0,X2,X3)
| ~ equidistant(u,X2,u,w)
| ~ between(u,X0,X3)
| ~ equidistant(u,X3,u,X4)
| ~ between(X5,u,continuous(u,X0,X1,X2,X3,X4))
| u = X5
| ~ equidistant(X5,w,X6,w1)
| ~ between(X6,u,w1)
| ~ equidistant(X5,u,X6,u)
| equidistant(continuous(u,X0,X1,X2,X3,X4),w,w1,w1) )
| ~ spl0_37
| ~ spl0_84 ),
inference(resolution,[],[f727,f249]) ).
fof(f5641,plain,
( spl0_360
| ~ spl0_39
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f738,f726,f264,f5639]) ).
fof(f5639,plain,
( spl0_360
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,u,w)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X5)
| ~ between(X6,X0,continuous(X0,X1,X2,X3,X4,X5))
| X0 = X6
| ~ equidistant(X6,u,X7,X0)
| ~ between(X7,u,w1)
| ~ equidistant(X6,X0,X7,u)
| equidistant(continuous(X0,X1,X2,X3,X4,X5),u,w1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_360])]) ).
fof(f738,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,u,w)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X5)
| ~ between(X6,X0,continuous(X0,X1,X2,X3,X4,X5))
| X0 = X6
| ~ equidistant(X6,u,X7,X0)
| ~ between(X7,u,w1)
| ~ equidistant(X6,X0,X7,u)
| equidistant(continuous(X0,X1,X2,X3,X4,X5),u,w1,X0) )
| ~ spl0_39
| ~ spl0_84 ),
inference(resolution,[],[f727,f265]) ).
fof(f5637,plain,
( spl0_359
| ~ spl0_23
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f602,f582,f135,f5635]) ).
fof(f5635,plain,
( spl0_359
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ between(v,X0,X1)
| ~ equidistant(v,X1,v,X2)
| ~ equidistant(v,X0,v,X3)
| ~ between(X0,w,X1)
| between(v,X4,X5)
| between(X5,v,X4)
| between(X4,X5,v)
| w1 = continuous(v,X0,X3,w,X1,X2)
| ~ equidistant(X5,continuous(v,X0,X3,w,X1,X2),X5,w1)
| ~ equidistant(X4,continuous(v,X0,X3,w,X1,X2),X4,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_359])]) ).
fof(f602,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(v,X0,X1)
| ~ equidistant(v,X1,v,X2)
| ~ equidistant(v,X0,v,X3)
| ~ between(X0,w,X1)
| between(v,X4,X5)
| between(X5,v,X4)
| between(X4,X5,v)
| w1 = continuous(v,X0,X3,w,X1,X2)
| ~ equidistant(X5,continuous(v,X0,X3,w,X1,X2),X5,w1)
| ~ equidistant(X4,continuous(v,X0,X3,w,X1,X2),X4,w1) )
| ~ spl0_23
| ~ spl0_72 ),
inference(resolution,[],[f583,f136]) ).
fof(f5633,plain,
( spl0_358
| ~ spl0_24
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f600,f582,f146,f5631]) ).
fof(f5631,plain,
( spl0_358
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ between(v,X0,X1)
| ~ equidistant(v,X1,v,X2)
| ~ equidistant(v,X0,v,X3)
| ~ between(X0,w,X1)
| ~ between(X4,v,X5)
| ~ between(X6,v,X7)
| v = X6
| ~ equidistant(X6,continuous(v,X0,X3,w,X1,X2),X4,w1)
| ~ equidistant(v,X7,v,X5)
| ~ equidistant(X6,v,X4,v)
| equidistant(X7,continuous(v,X0,X3,w,X1,X2),X5,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_358])]) ).
fof(f600,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ between(v,X0,X1)
| ~ equidistant(v,X1,v,X2)
| ~ equidistant(v,X0,v,X3)
| ~ between(X0,w,X1)
| ~ between(X4,v,X5)
| ~ between(X6,v,X7)
| v = X6
| ~ equidistant(X6,continuous(v,X0,X3,w,X1,X2),X4,w1)
| ~ equidistant(v,X7,v,X5)
| ~ equidistant(X6,v,X4,v)
| equidistant(X7,continuous(v,X0,X3,w,X1,X2),X5,w1) )
| ~ spl0_24
| ~ spl0_72 ),
inference(resolution,[],[f583,f147]) ).
fof(f5629,plain,
( spl0_357
| ~ spl0_23
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f592,f578,f135,f5627]) ).
fof(f5627,plain,
( spl0_357
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ between(u,X0,X1)
| ~ equidistant(u,X1,u,X2)
| ~ equidistant(u,X0,u,X3)
| ~ between(X0,w,X1)
| between(u,X4,X5)
| between(X5,u,X4)
| between(X4,X5,u)
| w1 = continuous(u,X0,X3,w,X1,X2)
| ~ equidistant(X5,continuous(u,X0,X3,w,X1,X2),X5,w1)
| ~ equidistant(X4,continuous(u,X0,X3,w,X1,X2),X4,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_357])]) ).
fof(f592,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(u,X0,X1)
| ~ equidistant(u,X1,u,X2)
| ~ equidistant(u,X0,u,X3)
| ~ between(X0,w,X1)
| between(u,X4,X5)
| between(X5,u,X4)
| between(X4,X5,u)
| w1 = continuous(u,X0,X3,w,X1,X2)
| ~ equidistant(X5,continuous(u,X0,X3,w,X1,X2),X5,w1)
| ~ equidistant(X4,continuous(u,X0,X3,w,X1,X2),X4,w1) )
| ~ spl0_23
| ~ spl0_71 ),
inference(resolution,[],[f579,f136]) ).
fof(f5625,plain,
( spl0_356
| ~ spl0_24
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f590,f578,f146,f5623]) ).
fof(f5623,plain,
( spl0_356
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ between(u,X0,X1)
| ~ equidistant(u,X1,u,X2)
| ~ equidistant(u,X0,u,X3)
| ~ between(X0,w,X1)
| ~ between(X4,u,X5)
| ~ between(X6,u,X7)
| u = X6
| ~ equidistant(X6,continuous(u,X0,X3,w,X1,X2),X4,w1)
| ~ equidistant(u,X7,u,X5)
| ~ equidistant(X6,u,X4,u)
| equidistant(X7,continuous(u,X0,X3,w,X1,X2),X5,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_356])]) ).
fof(f590,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ between(u,X0,X1)
| ~ equidistant(u,X1,u,X2)
| ~ equidistant(u,X0,u,X3)
| ~ between(X0,w,X1)
| ~ between(X4,u,X5)
| ~ between(X6,u,X7)
| u = X6
| ~ equidistant(X6,continuous(u,X0,X3,w,X1,X2),X4,w1)
| ~ equidistant(u,X7,u,X5)
| ~ equidistant(X6,u,X4,u)
| equidistant(X7,continuous(u,X0,X3,w,X1,X2),X5,w1) )
| ~ spl0_24
| ~ spl0_71 ),
inference(resolution,[],[f579,f147]) ).
fof(f5621,plain,
( spl0_355
| ~ spl0_124
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f1254,f1225,f1174,f5619]) ).
fof(f1254,plain,
( ! [X0,X1] : equidistant(X0,extension(X1,X0,u,w1),w,u)
| ~ spl0_124
| ~ spl0_127 ),
inference(resolution,[],[f1226,f1175]) ).
fof(f5529,plain,
( spl0_354
| ~ spl0_29
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f1079,f1074,f186,f5527]) ).
fof(f5527,plain,
( spl0_354
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ between(extension(X0,X1,X1,X2),X3,X4)
| ~ between(X1,extension(X0,X1,X1,X2),X4)
| ~ equidistant(X1,X4,X1,X5)
| continuous(X1,extension(X0,X1,X1,X2),X2,X3,X4,X5) = inner_pasch(X2,continuous(X1,extension(X0,X1,X1,X2),X2,X3,X4,X5),X5,X5,continuous(X1,extension(X0,X1,X1,X2),X2,X3,X4,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_354])]) ).
fof(f1079,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(extension(X0,X1,X1,X2),X3,X4)
| ~ between(X1,extension(X0,X1,X1,X2),X4)
| ~ equidistant(X1,X4,X1,X5)
| continuous(X1,extension(X0,X1,X1,X2),X2,X3,X4,X5) = inner_pasch(X2,continuous(X1,extension(X0,X1,X1,X2),X2,X3,X4,X5),X5,X5,continuous(X1,extension(X0,X1,X1,X2),X2,X3,X4,X5)) )
| ~ spl0_29
| ~ spl0_114 ),
inference(resolution,[],[f1075,f187]) ).
fof(f5525,plain,
( spl0_353
| ~ spl0_12
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f929,f925,f77,f5523]) ).
fof(f5523,plain,
( spl0_353
<=> ! [X5,X4,X2,X0,X7,X6,X3,X1] :
( ~ equidistant(X0,extension(extension(X1,X0,X0,X2),X3,X4,X5),X0,X6)
| ~ between(X0,extension(X1,X0,X0,X2),extension(extension(X1,X0,X0,X2),X3,X4,X5))
| ~ between(X7,X2,X6)
| inner_pasch(X2,continuous(X0,extension(X1,X0,X0,X2),X2,X3,extension(extension(X1,X0,X0,X2),X3,X4,X5),X6),X6,X2,X7) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_353])]) ).
fof(f929,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,extension(extension(X1,X0,X0,X2),X3,X4,X5),X0,X6)
| ~ between(X0,extension(X1,X0,X0,X2),extension(extension(X1,X0,X0,X2),X3,X4,X5))
| ~ between(X7,X2,X6)
| inner_pasch(X2,continuous(X0,extension(X1,X0,X0,X2),X2,X3,extension(extension(X1,X0,X0,X2),X3,X4,X5),X6),X6,X2,X7) = X2 )
| ~ spl0_12
| ~ spl0_96 ),
inference(resolution,[],[f926,f78]) ).
fof(f5521,plain,
( spl0_352
| ~ spl0_21
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f616,f606,f121,f5519]) ).
fof(f5519,plain,
( spl0_352
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ between(X0,X1,X2)
| ~ equidistant(X0,X2,X0,X3)
| ~ equidistant(X0,X1,X0,X4)
| ~ between(X1,X0,X2)
| ~ between(X0,continuous(X0,X1,X4,X0,X2,X3),X5)
| ~ equidistant(X0,X5,X0,X6)
| ~ between(continuous(X0,X1,X4,X0,X2,X3),X7,X5)
| between(X0,continuous(X0,continuous(X0,X1,X4,X0,X2,X3),X0,X7,X5,X6),X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_352])]) ).
fof(f616,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ between(X0,X1,X2)
| ~ equidistant(X0,X2,X0,X3)
| ~ equidistant(X0,X1,X0,X4)
| ~ between(X1,X0,X2)
| ~ between(X0,continuous(X0,X1,X4,X0,X2,X3),X5)
| ~ equidistant(X0,X5,X0,X6)
| ~ between(continuous(X0,X1,X4,X0,X2,X3),X7,X5)
| between(X0,continuous(X0,continuous(X0,X1,X4,X0,X2,X3),X0,X7,X5,X6),X6) )
| ~ spl0_21
| ~ spl0_73 ),
inference(resolution,[],[f607,f122]) ).
fof(f5445,plain,
( spl0_351
| ~ spl0_21
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f603,f582,f121,f5443]) ).
fof(f5443,plain,
( spl0_351
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ between(v,X0,X1)
| ~ equidistant(v,X1,v,X2)
| ~ equidistant(v,X0,v,X3)
| ~ between(X0,w,X1)
| ~ between(v,continuous(v,X0,X3,w,X1,X2),X4)
| ~ equidistant(v,X4,v,X5)
| ~ between(continuous(v,X0,X3,w,X1,X2),X6,X4)
| between(w1,continuous(v,continuous(v,X0,X3,w,X1,X2),w1,X6,X4,X5),X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_351])]) ).
fof(f603,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ between(v,X0,X1)
| ~ equidistant(v,X1,v,X2)
| ~ equidistant(v,X0,v,X3)
| ~ between(X0,w,X1)
| ~ between(v,continuous(v,X0,X3,w,X1,X2),X4)
| ~ equidistant(v,X4,v,X5)
| ~ between(continuous(v,X0,X3,w,X1,X2),X6,X4)
| between(w1,continuous(v,continuous(v,X0,X3,w,X1,X2),w1,X6,X4,X5),X5) )
| ~ spl0_21
| ~ spl0_72 ),
inference(resolution,[],[f583,f122]) ).
fof(f5441,plain,
( spl0_350
| ~ spl0_21
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f593,f578,f121,f5439]) ).
fof(f5439,plain,
( spl0_350
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ between(u,X0,X1)
| ~ equidistant(u,X1,u,X2)
| ~ equidistant(u,X0,u,X3)
| ~ between(X0,w,X1)
| ~ between(u,continuous(u,X0,X3,w,X1,X2),X4)
| ~ equidistant(u,X4,u,X5)
| ~ between(continuous(u,X0,X3,w,X1,X2),X6,X4)
| between(w1,continuous(u,continuous(u,X0,X3,w,X1,X2),w1,X6,X4,X5),X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_350])]) ).
fof(f593,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ between(u,X0,X1)
| ~ equidistant(u,X1,u,X2)
| ~ equidistant(u,X0,u,X3)
| ~ between(X0,w,X1)
| ~ between(u,continuous(u,X0,X3,w,X1,X2),X4)
| ~ equidistant(u,X4,u,X5)
| ~ between(continuous(u,X0,X3,w,X1,X2),X6,X4)
| between(w1,continuous(u,continuous(u,X0,X3,w,X1,X2),w1,X6,X4,X5),X5) )
| ~ spl0_21
| ~ spl0_71 ),
inference(resolution,[],[f579,f122]) ).
fof(f5437,plain,
( spl0_349
| ~ spl0_53
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f1247,f1221,f408,f5435]) ).
fof(f5435,plain,
( spl0_349
<=> ! [X0,X1] : equidistant(extension(X0,X1,w,v),X1,v,w1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_349])]) ).
fof(f1247,plain,
( ! [X0,X1] : equidistant(extension(X0,X1,w,v),X1,v,w1)
| ~ spl0_53
| ~ spl0_126 ),
inference(resolution,[],[f1222,f409]) ).
fof(f5289,plain,
( spl0_348
| ~ spl0_41
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1029,f1020,f281,f5287]) ).
fof(f5287,plain,
( spl0_348
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ between(X0,X3,X5)
| ~ equidistant(X0,X4,X0,X6)
| ~ between(X3,X7,X5)
| ~ between(X0,X1,X4)
| continuous(X0,X1,X2,X3,X4,X6) = continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X6),X7,X5,continuous(X0,X1,X2,X3,X4,X6))
| ~ equidistant(X0,X3,X0,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_348])]) ).
fof(f1029,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ between(X0,X3,X5)
| ~ equidistant(X0,X4,X0,X6)
| ~ between(X3,X7,X5)
| ~ between(X0,X1,X4)
| continuous(X0,X1,X2,X3,X4,X6) = continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X6),X7,X5,continuous(X0,X1,X2,X3,X4,X6))
| ~ equidistant(X0,X3,X0,X5) )
| ~ spl0_41
| ~ spl0_109 ),
inference(duplicate_literal_removal,[],[f1025]) ).
fof(f1025,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ between(X0,X3,X5)
| ~ equidistant(X0,X4,X0,X6)
| ~ between(X3,X7,X5)
| ~ between(X0,X1,X4)
| continuous(X0,X1,X2,X3,X4,X6) = continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X6),X7,X5,continuous(X0,X1,X2,X3,X4,X6))
| ~ equidistant(X0,X4,X0,X6)
| ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X0,X5)
| ~ between(X0,X1,X4) )
| ~ spl0_41
| ~ spl0_109 ),
inference(resolution,[],[f1021,f282]) ).
fof(f5285,plain,
( spl0_347
| ~ spl0_73
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f886,f875,f606,f5283]) ).
fof(f5283,plain,
( spl0_347
<=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X5,continuous(X5,X6,X7,X8,X9,X10))
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X11)
| equidistant(X8,X5,X0,continuous(X0,X1,X2,X3,X4,X11))
| ~ between(X5,X6,X9)
| ~ equidistant(X5,X9,X5,X10)
| ~ equidistant(X5,X6,X5,X7)
| ~ between(X6,X8,X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_347])]) ).
fof(f886,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X5,continuous(X5,X6,X7,X8,X9,X10))
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X11)
| equidistant(X8,X5,X0,continuous(X0,X1,X2,X3,X4,X11))
| ~ between(X5,X6,X9)
| ~ equidistant(X5,X9,X5,X10)
| ~ equidistant(X5,X6,X5,X7)
| ~ between(X6,X8,X9) )
| ~ spl0_73
| ~ spl0_93 ),
inference(resolution,[],[f876,f607]) ).
fof(f5281,plain,
( spl0_346
| ~ spl0_22
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f879,f875,f129,f5279]) ).
fof(f5279,plain,
( spl0_346
<=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X5,X6)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X7)
| equidistant(X5,continuous(X5,X8,X9,X6,X10,X11),X0,continuous(X0,X1,X2,X3,X4,X7))
| ~ between(X5,X8,X10)
| ~ equidistant(X5,X10,X5,X11)
| ~ equidistant(X5,X8,X5,X9)
| ~ between(X8,X6,X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_346])]) ).
fof(f879,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X5,X6)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X7)
| equidistant(X5,continuous(X5,X8,X9,X6,X10,X11),X0,continuous(X0,X1,X2,X3,X4,X7))
| ~ between(X5,X8,X10)
| ~ equidistant(X5,X10,X5,X11)
| ~ equidistant(X5,X8,X5,X9)
| ~ between(X8,X6,X10) )
| ~ spl0_22
| ~ spl0_93 ),
inference(resolution,[],[f876,f130]) ).
fof(f5277,plain,
( spl0_345
| ~ spl0_66
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f795,f775,f512,f5275]) ).
fof(f5275,plain,
( spl0_345
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X0,X0)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X5)
| ~ between(X0,X6,continuous(X0,X1,X2,X3,X4,X5))
| ~ between(X0,X0,continuous(X0,X1,X2,X3,X4,X5))
| continuous(X0,X0,X0,X6,continuous(X0,X1,X2,X3,X4,X5),X0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_345])]) ).
fof(f512,plain,
( spl0_66
<=> ! [X2,X0,X1] :
( ~ equidistant(X0,X1,X0,X0)
| ~ between(X0,X2,X1)
| ~ between(X0,X0,X1)
| continuous(X0,X0,X0,X2,X1,X0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f795,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X0,X0)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X5)
| ~ between(X0,X6,continuous(X0,X1,X2,X3,X4,X5))
| ~ between(X0,X0,continuous(X0,X1,X2,X3,X4,X5))
| continuous(X0,X0,X0,X6,continuous(X0,X1,X2,X3,X4,X5),X0) = X0 )
| ~ spl0_66
| ~ spl0_87 ),
inference(resolution,[],[f776,f513]) ).
fof(f513,plain,
( ! [X2,X0,X1] :
( ~ equidistant(X0,X1,X0,X0)
| ~ between(X0,X2,X1)
| ~ between(X0,X0,X1)
| continuous(X0,X0,X0,X2,X1,X0) = X0 )
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f512]) ).
fof(f5211,plain,
( spl0_344
| ~ spl0_124
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f1246,f1221,f1174,f5209]) ).
fof(f1246,plain,
( ! [X0,X1] : equidistant(X0,extension(X1,X0,w,v),v,w1)
| ~ spl0_124
| ~ spl0_126 ),
inference(resolution,[],[f1222,f1175]) ).
fof(f5181,plain,
( spl0_343
| ~ spl0_72
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f890,f875,f582,f5179]) ).
fof(f5179,plain,
( spl0_343
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,v,continuous(v,X5,X6,w,X7,X8))
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X9)
| equidistant(v,w1,X0,continuous(X0,X1,X2,X3,X4,X9))
| ~ between(v,X5,X7)
| ~ equidistant(v,X7,v,X8)
| ~ equidistant(v,X5,v,X6)
| ~ between(X5,w,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_343])]) ).
fof(f890,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,v,continuous(v,X5,X6,w,X7,X8))
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X9)
| equidistant(v,w1,X0,continuous(X0,X1,X2,X3,X4,X9))
| ~ between(v,X5,X7)
| ~ equidistant(v,X7,v,X8)
| ~ equidistant(v,X5,v,X6)
| ~ between(X5,w,X7) )
| ~ spl0_72
| ~ spl0_93 ),
inference(resolution,[],[f876,f583]) ).
fof(f5177,plain,
( spl0_342
| ~ spl0_71
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f889,f875,f578,f5175]) ).
fof(f5175,plain,
( spl0_342
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,u,continuous(u,X5,X6,w,X7,X8))
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X9)
| equidistant(u,w1,X0,continuous(X0,X1,X2,X3,X4,X9))
| ~ between(u,X5,X7)
| ~ equidistant(u,X7,u,X8)
| ~ equidistant(u,X5,u,X6)
| ~ between(X5,w,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_342])]) ).
fof(f889,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,u,continuous(u,X5,X6,w,X7,X8))
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X9)
| equidistant(u,w1,X0,continuous(X0,X1,X2,X3,X4,X9))
| ~ between(u,X5,X7)
| ~ equidistant(u,X7,u,X8)
| ~ equidistant(u,X5,u,X6)
| ~ between(X5,w,X7) )
| ~ spl0_71
| ~ spl0_93 ),
inference(resolution,[],[f876,f579]) ).
fof(f5173,plain,
( spl0_341
| ~ spl0_33
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f861,f838,f216,f5171]) ).
fof(f5171,plain,
( spl0_341
<=> ! [X5,X4,X0,X3,X2,X1] :
( w1 = inner_pasch(euclid1(X0,X1,X2,X3,w1),w1,euclid2(X0,X1,X2,X3,w1),continuous(v,w,w1,X4,X5,euclid2(X0,X1,X2,X3,w1)),w1)
| ~ between(X1,X2,X3)
| ~ between(X0,X2,w1)
| X0 = X2
| ~ equidistant(v,X5,v,euclid2(X0,X1,X2,X3,w1))
| ~ between(w,X4,X5)
| ~ between(v,w,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_341])]) ).
fof(f861,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( w1 = inner_pasch(euclid1(X0,X1,X2,X3,w1),w1,euclid2(X0,X1,X2,X3,w1),continuous(v,w,w1,X4,X5,euclid2(X0,X1,X2,X3,w1)),w1)
| ~ between(X1,X2,X3)
| ~ between(X0,X2,w1)
| X0 = X2
| ~ equidistant(v,X5,v,euclid2(X0,X1,X2,X3,w1))
| ~ between(w,X4,X5)
| ~ between(v,w,X5) )
| ~ spl0_33
| ~ spl0_90 ),
inference(resolution,[],[f839,f217]) ).
fof(f5169,plain,
( spl0_340
| ~ spl0_32
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f860,f838,f212,f5167]) ).
fof(f5167,plain,
( spl0_340
<=> ! [X5,X4,X0,X3,X2,X1] :
( w1 = inner_pasch(euclid1(X0,X1,X2,X3,w1),w1,euclid2(X0,X1,X2,X3,w1),continuous(u,w,w1,X4,X5,euclid2(X0,X1,X2,X3,w1)),w1)
| ~ between(X1,X2,X3)
| ~ between(X0,X2,w1)
| X0 = X2
| ~ equidistant(u,X5,u,euclid2(X0,X1,X2,X3,w1))
| ~ between(w,X4,X5)
| ~ between(u,w,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_340])]) ).
fof(f860,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( w1 = inner_pasch(euclid1(X0,X1,X2,X3,w1),w1,euclid2(X0,X1,X2,X3,w1),continuous(u,w,w1,X4,X5,euclid2(X0,X1,X2,X3,w1)),w1)
| ~ between(X1,X2,X3)
| ~ between(X0,X2,w1)
| X0 = X2
| ~ equidistant(u,X5,u,euclid2(X0,X1,X2,X3,w1))
| ~ between(w,X4,X5)
| ~ between(u,w,X5) )
| ~ spl0_32
| ~ spl0_90 ),
inference(resolution,[],[f839,f213]) ).
fof(f5165,plain,
( spl0_339
| ~ spl0_53
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f1239,f1217,f408,f5163]) ).
fof(f5163,plain,
( spl0_339
<=> ! [X0,X1] : equidistant(extension(X0,X1,w,u),X1,u,w1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_339])]) ).
fof(f1239,plain,
( ! [X0,X1] : equidistant(extension(X0,X1,w,u),X1,u,w1)
| ~ spl0_53
| ~ spl0_125 ),
inference(resolution,[],[f1218,f409]) ).
fof(f5161,plain,
( spl0_338
| ~ spl0_65
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f801,f775,f502,f5159]) ).
fof(f5159,plain,
( spl0_338
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ equidistant(v,X0,v,X1)
| ~ between(X0,X2,X3)
| ~ equidistant(v,X2,w1,v)
| ~ between(v,X0,X3)
| ~ equidistant(v,X3,v,X4)
| ~ between(w,X5,continuous(v,X0,X1,X2,X3,X4))
| ~ between(v,w,continuous(v,X0,X1,X2,X3,X4))
| w1 = continuous(v,w,w1,X5,continuous(v,X0,X1,X2,X3,X4),w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_338])]) ).
fof(f801,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(v,X0,v,X1)
| ~ between(X0,X2,X3)
| ~ equidistant(v,X2,w1,v)
| ~ between(v,X0,X3)
| ~ equidistant(v,X3,v,X4)
| ~ between(w,X5,continuous(v,X0,X1,X2,X3,X4))
| ~ between(v,w,continuous(v,X0,X1,X2,X3,X4))
| w1 = continuous(v,w,w1,X5,continuous(v,X0,X1,X2,X3,X4),w1) )
| ~ spl0_65
| ~ spl0_87 ),
inference(resolution,[],[f776,f503]) ).
fof(f5157,plain,
( spl0_337
| ~ spl0_64
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f798,f775,f498,f5155]) ).
fof(f5155,plain,
( spl0_337
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ equidistant(u,X0,u,X1)
| ~ between(X0,X2,X3)
| ~ equidistant(u,X2,w1,u)
| ~ between(u,X0,X3)
| ~ equidistant(u,X3,u,X4)
| ~ between(w,X5,continuous(u,X0,X1,X2,X3,X4))
| ~ between(u,w,continuous(u,X0,X1,X2,X3,X4))
| w1 = continuous(u,w,w1,X5,continuous(u,X0,X1,X2,X3,X4),w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_337])]) ).
fof(f798,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(u,X0,u,X1)
| ~ between(X0,X2,X3)
| ~ equidistant(u,X2,w1,u)
| ~ between(u,X0,X3)
| ~ equidistant(u,X3,u,X4)
| ~ between(w,X5,continuous(u,X0,X1,X2,X3,X4))
| ~ between(u,w,continuous(u,X0,X1,X2,X3,X4))
| w1 = continuous(u,w,w1,X5,continuous(u,X0,X1,X2,X3,X4),w1) )
| ~ spl0_64
| ~ spl0_87 ),
inference(resolution,[],[f776,f499]) ).
fof(f5153,plain,
( spl0_336
| ~ spl0_65
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f767,f730,f502,f5151]) ).
fof(f5151,plain,
( spl0_336
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ equidistant(v,X0,v,X1)
| ~ between(X0,X2,X3)
| ~ equidistant(v,X2,v,w)
| ~ between(v,X0,X3)
| ~ equidistant(v,X3,v,X4)
| ~ between(w,X5,continuous(v,X0,X1,X2,X3,X4))
| ~ between(v,w,continuous(v,X0,X1,X2,X3,X4))
| w1 = continuous(v,w,w1,X5,continuous(v,X0,X1,X2,X3,X4),w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_336])]) ).
fof(f767,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(v,X0,v,X1)
| ~ between(X0,X2,X3)
| ~ equidistant(v,X2,v,w)
| ~ between(v,X0,X3)
| ~ equidistant(v,X3,v,X4)
| ~ between(w,X5,continuous(v,X0,X1,X2,X3,X4))
| ~ between(v,w,continuous(v,X0,X1,X2,X3,X4))
| w1 = continuous(v,w,w1,X5,continuous(v,X0,X1,X2,X3,X4),w1) )
| ~ spl0_65
| ~ spl0_85 ),
inference(resolution,[],[f731,f503]) ).
fof(f5149,plain,
( spl0_335
| ~ spl0_64
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f745,f726,f498,f5147]) ).
fof(f5147,plain,
( spl0_335
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ equidistant(u,X0,u,X1)
| ~ between(X0,X2,X3)
| ~ equidistant(u,X2,u,w)
| ~ between(u,X0,X3)
| ~ equidistant(u,X3,u,X4)
| ~ between(w,X5,continuous(u,X0,X1,X2,X3,X4))
| ~ between(u,w,continuous(u,X0,X1,X2,X3,X4))
| w1 = continuous(u,w,w1,X5,continuous(u,X0,X1,X2,X3,X4),w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_335])]) ).
fof(f745,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(u,X0,u,X1)
| ~ between(X0,X2,X3)
| ~ equidistant(u,X2,u,w)
| ~ between(u,X0,X3)
| ~ equidistant(u,X3,u,X4)
| ~ between(w,X5,continuous(u,X0,X1,X2,X3,X4))
| ~ between(u,w,continuous(u,X0,X1,X2,X3,X4))
| w1 = continuous(u,w,w1,X5,continuous(u,X0,X1,X2,X3,X4),w1) )
| ~ spl0_64
| ~ spl0_84 ),
inference(resolution,[],[f727,f499]) ).
fof(f5090,plain,
( spl0_334
| ~ spl0_9
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f864,f847,f65,f5088]) ).
fof(f5088,plain,
( spl0_334
<=> ! [X3,X4,X0,X7,X6,X5,X2,X1] :
( ~ equidistant(extension(X0,X1,X2,X3),X4,extension(X0,X1,X2,X3),X5)
| ~ between(X4,X1,X6)
| ~ equidistant(extension(X0,X1,X2,X3),X6,extension(X0,X1,X2,X3),X7)
| ~ between(extension(X0,X1,X2,X3),X4,X6)
| equidistant(extension(X0,X1,X2,X3),continuous(extension(X0,X1,X2,X3),X4,X5,X1,X6,X7),X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_334])]) ).
fof(f864,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(extension(X0,X1,X2,X3),X4,extension(X0,X1,X2,X3),X5)
| ~ between(X4,X1,X6)
| ~ equidistant(extension(X0,X1,X2,X3),X6,extension(X0,X1,X2,X3),X7)
| ~ between(extension(X0,X1,X2,X3),X4,X6)
| equidistant(extension(X0,X1,X2,X3),continuous(extension(X0,X1,X2,X3),X4,X5,X1,X6,X7),X2,X3) )
| ~ spl0_9
| ~ spl0_91 ),
inference(resolution,[],[f848,f66]) ).
fof(f5086,plain,
( spl0_333
| ~ spl0_22
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f564,f560,f129,f5084]) ).
fof(f5084,plain,
( spl0_333
<=> ! [X5,X3,X4,X0,X7,X6,X2,X1] :
( ~ between(X0,X1,X2)
| X0 = X1
| ~ between(X0,continuous(X0,X3,X4,X1,X5,X6),X7)
| ~ equidistant(X1,X2,continuous(X0,X3,X4,X1,X5,X6),X7)
| equidistant(X2,X1,X7,continuous(X0,X3,X4,X1,X5,X6))
| ~ between(X0,X3,X5)
| ~ equidistant(X0,X5,X0,X6)
| ~ equidistant(X0,X3,X0,X4)
| ~ between(X3,X1,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_333])]) ).
fof(f564,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ between(X0,X1,X2)
| X0 = X1
| ~ between(X0,continuous(X0,X3,X4,X1,X5,X6),X7)
| ~ equidistant(X1,X2,continuous(X0,X3,X4,X1,X5,X6),X7)
| equidistant(X2,X1,X7,continuous(X0,X3,X4,X1,X5,X6))
| ~ between(X0,X3,X5)
| ~ equidistant(X0,X5,X0,X6)
| ~ equidistant(X0,X3,X0,X4)
| ~ between(X3,X1,X5) )
| ~ spl0_22
| ~ spl0_70 ),
inference(resolution,[],[f561,f130]) ).
fof(f5070,plain,
( spl0_332
| ~ spl0_124
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f1238,f1217,f1174,f5068]) ).
fof(f1238,plain,
( ! [X0,X1] : equidistant(X0,extension(X1,X0,w,u),u,w1)
| ~ spl0_124
| ~ spl0_125 ),
inference(resolution,[],[f1218,f1175]) ).
fof(f5066,plain,
( spl0_331
| ~ spl0_16
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f933,f925,f99,f5064]) ).
fof(f5064,plain,
( spl0_331
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X0,extension(X3,X0,X0,X4),X1)
| ~ between(X5,X4,X2)
| inner_pasch(X4,continuous(X0,extension(X3,X0,X0,X4),X4,inner_pasch(X1,X6,X7,extension(X3,X0,X0,X4),X8),X1,X2),X2,X4,X5) = X4
| ~ between(X8,extension(X3,X0,X0,X4),X7)
| ~ between(X1,X6,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_331])]) ).
fof(f933,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X0,extension(X3,X0,X0,X4),X1)
| ~ between(X5,X4,X2)
| inner_pasch(X4,continuous(X0,extension(X3,X0,X0,X4),X4,inner_pasch(X1,X6,X7,extension(X3,X0,X0,X4),X8),X1,X2),X2,X4,X5) = X4
| ~ between(X8,extension(X3,X0,X0,X4),X7)
| ~ between(X1,X6,X7) )
| ~ spl0_16
| ~ spl0_96 ),
inference(resolution,[],[f926,f100]) ).
fof(f5062,plain,
( spl0_330
| ~ spl0_15
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f932,f925,f95,f5060]) ).
fof(f5060,plain,
( spl0_330
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X0,extension(X3,X0,X0,X4),X1)
| ~ between(X5,X4,X2)
| inner_pasch(X4,continuous(X0,extension(X3,X0,X0,X4),X4,inner_pasch(X6,extension(X3,X0,X0,X4),X7,X8,X1),X1,X2),X2,X4,X5) = X4
| ~ between(X1,X8,X7)
| ~ between(X6,extension(X3,X0,X0,X4),X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_330])]) ).
fof(f932,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X0,extension(X3,X0,X0,X4),X1)
| ~ between(X5,X4,X2)
| inner_pasch(X4,continuous(X0,extension(X3,X0,X0,X4),X4,inner_pasch(X6,extension(X3,X0,X0,X4),X7,X8,X1),X1,X2),X2,X4,X5) = X4
| ~ between(X1,X8,X7)
| ~ between(X6,extension(X3,X0,X0,X4),X7) )
| ~ spl0_15
| ~ spl0_96 ),
inference(resolution,[],[f926,f96]) ).
fof(f5058,plain,
( spl0_329
| ~ spl0_39
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f611,f606,f264,f5056]) ).
fof(f5056,plain,
( spl0_329
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ between(X0,X1,X2)
| ~ equidistant(X0,X2,X0,X3)
| ~ equidistant(X0,X1,X0,X4)
| ~ between(X1,X5,X2)
| ~ between(X6,X0,continuous(X0,X1,X4,X5,X2,X3))
| X0 = X6
| ~ equidistant(X6,X5,X7,X0)
| ~ between(X7,X5,X0)
| ~ equidistant(X6,X0,X7,X5)
| equidistant(continuous(X0,X1,X4,X5,X2,X3),X5,X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_329])]) ).
fof(f611,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ between(X0,X1,X2)
| ~ equidistant(X0,X2,X0,X3)
| ~ equidistant(X0,X1,X0,X4)
| ~ between(X1,X5,X2)
| ~ between(X6,X0,continuous(X0,X1,X4,X5,X2,X3))
| X0 = X6
| ~ equidistant(X6,X5,X7,X0)
| ~ between(X7,X5,X0)
| ~ equidistant(X6,X0,X7,X5)
| equidistant(continuous(X0,X1,X4,X5,X2,X3),X5,X0,X0) )
| ~ spl0_39
| ~ spl0_73 ),
inference(resolution,[],[f607,f265]) ).
fof(f5054,plain,
( spl0_328
| ~ spl0_38
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f619,f606,f252,f5052]) ).
fof(f5052,plain,
( spl0_328
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ between(v,X0,X1)
| ~ equidistant(v,X1,v,X2)
| ~ equidistant(v,X0,v,X3)
| ~ between(X0,v,X1)
| ~ between(X4,v,continuous(v,X0,X3,v,X1,X2))
| v = X4
| ~ equidistant(X4,w,X5,w1)
| ~ between(X5,v,v)
| ~ equidistant(X4,v,X5,v)
| equidistant(continuous(v,X0,X3,v,X1,X2),w,v,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_328])]) ).
fof(f619,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(v,X0,X1)
| ~ equidistant(v,X1,v,X2)
| ~ equidistant(v,X0,v,X3)
| ~ between(X0,v,X1)
| ~ between(X4,v,continuous(v,X0,X3,v,X1,X2))
| v = X4
| ~ equidistant(X4,w,X5,w1)
| ~ between(X5,v,v)
| ~ equidistant(X4,v,X5,v)
| equidistant(continuous(v,X0,X3,v,X1,X2),w,v,w1) )
| ~ spl0_38
| ~ spl0_73 ),
inference(resolution,[],[f607,f253]) ).
fof(f5050,plain,
( spl0_327
| ~ spl0_37
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f618,f606,f248,f5048]) ).
fof(f5048,plain,
( spl0_327
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ between(u,X0,X1)
| ~ equidistant(u,X1,u,X2)
| ~ equidistant(u,X0,u,X3)
| ~ between(X0,u,X1)
| ~ between(X4,u,continuous(u,X0,X3,u,X1,X2))
| u = X4
| ~ equidistant(X4,w,X5,w1)
| ~ between(X5,u,u)
| ~ equidistant(X4,u,X5,u)
| equidistant(continuous(u,X0,X3,u,X1,X2),w,u,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_327])]) ).
fof(f618,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(u,X0,X1)
| ~ equidistant(u,X1,u,X2)
| ~ equidistant(u,X0,u,X3)
| ~ between(X0,u,X1)
| ~ between(X4,u,continuous(u,X0,X3,u,X1,X2))
| u = X4
| ~ equidistant(X4,w,X5,w1)
| ~ between(X5,u,u)
| ~ equidistant(X4,u,X5,u)
| equidistant(continuous(u,X0,X3,u,X1,X2),w,u,w1) )
| ~ spl0_37
| ~ spl0_73 ),
inference(resolution,[],[f607,f249]) ).
fof(f5046,plain,
( spl0_326
| ~ spl0_26
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f1211,f1174,f159,f5044]) ).
fof(f5044,plain,
( spl0_326
<=> ! [X0,X1] : equidistant(X0,extension(X1,X0,v,w),v,w1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_326])]) ).
fof(f1211,plain,
( ! [X0,X1] : equidistant(X0,extension(X1,X0,v,w),v,w1)
| ~ spl0_26
| ~ spl0_124 ),
inference(resolution,[],[f1175,f160]) ).
fof(f5042,plain,
( spl0_325
| ~ spl0_38
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f596,f582,f252,f5040]) ).
fof(f5040,plain,
( spl0_325
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ between(v,X0,X1)
| ~ equidistant(v,X1,v,X2)
| ~ equidistant(v,X0,v,X3)
| ~ between(X0,w,X1)
| ~ between(X4,v,continuous(v,X0,X3,w,X1,X2))
| v = X4
| ~ equidistant(X4,w,X5,w1)
| ~ between(X5,v,w1)
| ~ equidistant(X4,v,X5,v)
| equidistant(continuous(v,X0,X3,w,X1,X2),w,w1,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_325])]) ).
fof(f596,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(v,X0,X1)
| ~ equidistant(v,X1,v,X2)
| ~ equidistant(v,X0,v,X3)
| ~ between(X0,w,X1)
| ~ between(X4,v,continuous(v,X0,X3,w,X1,X2))
| v = X4
| ~ equidistant(X4,w,X5,w1)
| ~ between(X5,v,w1)
| ~ equidistant(X4,v,X5,v)
| equidistant(continuous(v,X0,X3,w,X1,X2),w,w1,w1) )
| ~ spl0_38
| ~ spl0_72 ),
inference(resolution,[],[f583,f253]) ).
fof(f5038,plain,
( spl0_324
| ~ spl0_37
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f586,f578,f248,f5036]) ).
fof(f5036,plain,
( spl0_324
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ between(u,X0,X1)
| ~ equidistant(u,X1,u,X2)
| ~ equidistant(u,X0,u,X3)
| ~ between(X0,w,X1)
| ~ between(X4,u,continuous(u,X0,X3,w,X1,X2))
| u = X4
| ~ equidistant(X4,w,X5,w1)
| ~ between(X5,u,w1)
| ~ equidistant(X4,u,X5,u)
| equidistant(continuous(u,X0,X3,w,X1,X2),w,w1,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_324])]) ).
fof(f586,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(u,X0,X1)
| ~ equidistant(u,X1,u,X2)
| ~ equidistant(u,X0,u,X3)
| ~ between(X0,w,X1)
| ~ between(X4,u,continuous(u,X0,X3,w,X1,X2))
| u = X4
| ~ equidistant(X4,w,X5,w1)
| ~ between(X5,u,w1)
| ~ equidistant(X4,u,X5,u)
| equidistant(continuous(u,X0,X3,w,X1,X2),w,w1,w1) )
| ~ spl0_37
| ~ spl0_71 ),
inference(resolution,[],[f579,f249]) ).
fof(f4890,plain,
( spl0_323
| ~ spl0_25
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f1208,f1174,f155,f4888]) ).
fof(f4888,plain,
( spl0_323
<=> ! [X0,X1] : equidistant(X0,extension(X1,X0,u,w),u,w1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_323])]) ).
fof(f1208,plain,
( ! [X0,X1] : equidistant(X0,extension(X1,X0,u,w),u,w1)
| ~ spl0_25
| ~ spl0_124 ),
inference(resolution,[],[f1175,f156]) ).
fof(f4880,plain,
( spl0_322
| ~ spl0_16
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f922,f907,f99,f4878]) ).
fof(f4878,plain,
( spl0_322
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( inner_pasch(X0,X1,X2,X3,X4) = inner_pasch(X3,inner_pasch(X0,X1,X2,X3,X4),X0,inner_pasch(X0,X5,X6,inner_pasch(X0,X1,X2,X3,X4),X7),inner_pasch(X0,X1,X2,X3,X4))
| ~ between(X4,X3,X2)
| ~ between(X0,X1,X2)
| ~ between(X7,inner_pasch(X0,X1,X2,X3,X4),X6)
| ~ between(X0,X5,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_322])]) ).
fof(f922,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( inner_pasch(X0,X1,X2,X3,X4) = inner_pasch(X3,inner_pasch(X0,X1,X2,X3,X4),X0,inner_pasch(X0,X5,X6,inner_pasch(X0,X1,X2,X3,X4),X7),inner_pasch(X0,X1,X2,X3,X4))
| ~ between(X4,X3,X2)
| ~ between(X0,X1,X2)
| ~ between(X7,inner_pasch(X0,X1,X2,X3,X4),X6)
| ~ between(X0,X5,X6) )
| ~ spl0_16
| ~ spl0_95 ),
inference(resolution,[],[f908,f100]) ).
fof(f4876,plain,
( spl0_321
| ~ spl0_15
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f921,f907,f95,f4874]) ).
fof(f4874,plain,
( spl0_321
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( inner_pasch(X0,X1,X2,X3,X4) = inner_pasch(X3,inner_pasch(X0,X1,X2,X3,X4),X0,inner_pasch(X5,inner_pasch(X0,X1,X2,X3,X4),X6,X7,X0),inner_pasch(X0,X1,X2,X3,X4))
| ~ between(X4,X3,X2)
| ~ between(X0,X1,X2)
| ~ between(X0,X7,X6)
| ~ between(X5,inner_pasch(X0,X1,X2,X3,X4),X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_321])]) ).
fof(f921,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( inner_pasch(X0,X1,X2,X3,X4) = inner_pasch(X3,inner_pasch(X0,X1,X2,X3,X4),X0,inner_pasch(X5,inner_pasch(X0,X1,X2,X3,X4),X6,X7,X0),inner_pasch(X0,X1,X2,X3,X4))
| ~ between(X4,X3,X2)
| ~ between(X0,X1,X2)
| ~ between(X0,X7,X6)
| ~ between(X5,inner_pasch(X0,X1,X2,X3,X4),X6) )
| ~ spl0_15
| ~ spl0_95 ),
inference(resolution,[],[f908,f96]) ).
fof(f4872,plain,
( spl0_320
| ~ spl0_16
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f912,f903,f99,f4870]) ).
fof(f4870,plain,
( spl0_320
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( inner_pasch(X0,X1,X2,X3,X4) = inner_pasch(X1,inner_pasch(X0,X1,X2,X3,X4),X4,inner_pasch(X4,X5,X6,inner_pasch(X0,X1,X2,X3,X4),X7),inner_pasch(X0,X1,X2,X3,X4))
| ~ between(X4,X3,X2)
| ~ between(X0,X1,X2)
| ~ between(X7,inner_pasch(X0,X1,X2,X3,X4),X6)
| ~ between(X4,X5,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_320])]) ).
fof(f912,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( inner_pasch(X0,X1,X2,X3,X4) = inner_pasch(X1,inner_pasch(X0,X1,X2,X3,X4),X4,inner_pasch(X4,X5,X6,inner_pasch(X0,X1,X2,X3,X4),X7),inner_pasch(X0,X1,X2,X3,X4))
| ~ between(X4,X3,X2)
| ~ between(X0,X1,X2)
| ~ between(X7,inner_pasch(X0,X1,X2,X3,X4),X6)
| ~ between(X4,X5,X6) )
| ~ spl0_16
| ~ spl0_94 ),
inference(resolution,[],[f904,f100]) ).
fof(f4868,plain,
( spl0_319
| ~ spl0_15
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f911,f903,f95,f4866]) ).
fof(f4866,plain,
( spl0_319
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( inner_pasch(X0,X1,X2,X3,X4) = inner_pasch(X1,inner_pasch(X0,X1,X2,X3,X4),X4,inner_pasch(X5,inner_pasch(X0,X1,X2,X3,X4),X6,X7,X4),inner_pasch(X0,X1,X2,X3,X4))
| ~ between(X4,X3,X2)
| ~ between(X0,X1,X2)
| ~ between(X4,X7,X6)
| ~ between(X5,inner_pasch(X0,X1,X2,X3,X4),X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_319])]) ).
fof(f911,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( inner_pasch(X0,X1,X2,X3,X4) = inner_pasch(X1,inner_pasch(X0,X1,X2,X3,X4),X4,inner_pasch(X5,inner_pasch(X0,X1,X2,X3,X4),X6,X7,X4),inner_pasch(X0,X1,X2,X3,X4))
| ~ between(X4,X3,X2)
| ~ between(X0,X1,X2)
| ~ between(X4,X7,X6)
| ~ between(X5,inner_pasch(X0,X1,X2,X3,X4),X6) )
| ~ spl0_15
| ~ spl0_94 ),
inference(resolution,[],[f904,f96]) ).
fof(f4864,plain,
( spl0_318
| ~ spl0_16
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f552,f527,f99,f4862]) ).
fof(f4862,plain,
( spl0_318
<=> ! [X5,X6,X4,X7,X0,X3,X2,X1] :
( inner_pasch(X0,X1,X2,X3,X4) = inner_pasch(inner_pasch(X0,X1,X2,X3,X4),inner_pasch(X5,X6,X0,inner_pasch(X0,X1,X2,X3,X4),X3),X5,inner_pasch(X0,X1,X2,X3,X4),X7)
| ~ between(X7,inner_pasch(X0,X1,X2,X3,X4),X5)
| ~ between(X5,X6,X0)
| ~ between(X4,X3,X2)
| ~ between(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_318])]) ).
fof(f552,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( inner_pasch(X0,X1,X2,X3,X4) = inner_pasch(inner_pasch(X0,X1,X2,X3,X4),inner_pasch(X5,X6,X0,inner_pasch(X0,X1,X2,X3,X4),X3),X5,inner_pasch(X0,X1,X2,X3,X4),X7)
| ~ between(X7,inner_pasch(X0,X1,X2,X3,X4),X5)
| ~ between(X5,X6,X0)
| ~ between(X4,X3,X2)
| ~ between(X0,X1,X2) )
| ~ spl0_16
| ~ spl0_68 ),
inference(resolution,[],[f528,f100]) ).
fof(f4860,plain,
( spl0_317
| ~ spl0_15
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f551,f527,f95,f4858]) ).
fof(f4858,plain,
( spl0_317
<=> ! [X5,X6,X4,X7,X0,X3,X2,X1] :
( inner_pasch(X0,X1,X2,X3,X4) = inner_pasch(inner_pasch(X0,X1,X2,X3,X4),inner_pasch(X5,X6,X4,inner_pasch(X0,X1,X2,X3,X4),X1),X5,inner_pasch(X0,X1,X2,X3,X4),X7)
| ~ between(X7,inner_pasch(X0,X1,X2,X3,X4),X5)
| ~ between(X5,X6,X4)
| ~ between(X4,X3,X2)
| ~ between(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_317])]) ).
fof(f551,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( inner_pasch(X0,X1,X2,X3,X4) = inner_pasch(inner_pasch(X0,X1,X2,X3,X4),inner_pasch(X5,X6,X4,inner_pasch(X0,X1,X2,X3,X4),X1),X5,inner_pasch(X0,X1,X2,X3,X4),X7)
| ~ between(X7,inner_pasch(X0,X1,X2,X3,X4),X5)
| ~ between(X5,X6,X4)
| ~ between(X4,X3,X2)
| ~ between(X0,X1,X2) )
| ~ spl0_15
| ~ spl0_68 ),
inference(resolution,[],[f528,f96]) ).
fof(f4856,plain,
( spl0_316
| ~ spl0_16
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f535,f523,f99,f4854]) ).
fof(f4854,plain,
( spl0_316
<=> ! [X5,X6,X4,X7,X0,X3,X2,X1] :
( inner_pasch(X0,X1,X2,X3,X4) = inner_pasch(inner_pasch(X0,X1,X2,X3,X4),inner_pasch(X3,inner_pasch(X0,X1,X2,X3,X4),X0,X5,X6),X6,inner_pasch(X0,X1,X2,X3,X4),X7)
| ~ between(X6,X5,X0)
| ~ between(X7,inner_pasch(X0,X1,X2,X3,X4),X6)
| ~ between(X4,X3,X2)
| ~ between(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_316])]) ).
fof(f535,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( inner_pasch(X0,X1,X2,X3,X4) = inner_pasch(inner_pasch(X0,X1,X2,X3,X4),inner_pasch(X3,inner_pasch(X0,X1,X2,X3,X4),X0,X5,X6),X6,inner_pasch(X0,X1,X2,X3,X4),X7)
| ~ between(X6,X5,X0)
| ~ between(X7,inner_pasch(X0,X1,X2,X3,X4),X6)
| ~ between(X4,X3,X2)
| ~ between(X0,X1,X2) )
| ~ spl0_16
| ~ spl0_67 ),
inference(resolution,[],[f524,f100]) ).
fof(f4852,plain,
( spl0_315
| ~ spl0_15
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f534,f523,f95,f4850]) ).
fof(f4850,plain,
( spl0_315
<=> ! [X5,X6,X4,X7,X0,X3,X2,X1] :
( inner_pasch(X0,X1,X2,X3,X4) = inner_pasch(inner_pasch(X0,X1,X2,X3,X4),inner_pasch(X1,inner_pasch(X0,X1,X2,X3,X4),X4,X5,X6),X6,inner_pasch(X0,X1,X2,X3,X4),X7)
| ~ between(X6,X5,X4)
| ~ between(X7,inner_pasch(X0,X1,X2,X3,X4),X6)
| ~ between(X4,X3,X2)
| ~ between(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_315])]) ).
fof(f534,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( inner_pasch(X0,X1,X2,X3,X4) = inner_pasch(inner_pasch(X0,X1,X2,X3,X4),inner_pasch(X1,inner_pasch(X0,X1,X2,X3,X4),X4,X5,X6),X6,inner_pasch(X0,X1,X2,X3,X4),X7)
| ~ between(X6,X5,X4)
| ~ between(X7,inner_pasch(X0,X1,X2,X3,X4),X6)
| ~ between(X4,X3,X2)
| ~ between(X0,X1,X2) )
| ~ spl0_15
| ~ spl0_67 ),
inference(resolution,[],[f524,f96]) ).
fof(f4848,plain,
( spl0_314
| ~ spl0_44
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f431,f412,f311,f4846]) ).
fof(f4846,plain,
( spl0_314
<=> ! [X5,X3,X4,X0,X7,X6,X2,X1] :
( ~ between(extension(X0,extension(X1,X2,X3,X4),X5,X4),X2,X6)
| extension(X0,extension(X1,X2,X3,X4),X5,X4) = X2
| ~ between(X5,X3,X7)
| ~ equidistant(X2,X6,X3,X7)
| ~ equidistant(extension(X0,extension(X1,X2,X3,X4),X5,X4),X2,X5,X3)
| equidistant(X6,extension(X1,X2,X3,X4),X7,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_314])]) ).
fof(f311,plain,
( spl0_44
<=> ! [X3,X4,X0,X7,X6,X5,X2,X1] :
( ~ between(X0,X1,X2)
| ~ between(X3,X4,X5)
| X3 = X4
| ~ equidistant(X3,extension(X6,X4,X1,X7),X0,X7)
| ~ equidistant(X4,X5,X1,X2)
| ~ equidistant(X3,X4,X0,X1)
| equidistant(X5,extension(X6,X4,X1,X7),X2,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f431,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ between(extension(X0,extension(X1,X2,X3,X4),X5,X4),X2,X6)
| extension(X0,extension(X1,X2,X3,X4),X5,X4) = X2
| ~ between(X5,X3,X7)
| ~ equidistant(X2,X6,X3,X7)
| ~ equidistant(extension(X0,extension(X1,X2,X3,X4),X5,X4),X2,X5,X3)
| equidistant(X6,extension(X1,X2,X3,X4),X7,X4) )
| ~ spl0_44
| ~ spl0_54 ),
inference(resolution,[],[f413,f312]) ).
fof(f312,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X3,extension(X6,X4,X1,X7),X0,X7)
| ~ between(X3,X4,X5)
| X3 = X4
| ~ between(X0,X1,X2)
| ~ equidistant(X4,X5,X1,X2)
| ~ equidistant(X3,X4,X0,X1)
| equidistant(X5,extension(X6,X4,X1,X7),X2,X7) )
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f311]) ).
fof(f4844,plain,
( spl0_313
| ~ spl0_27
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f1165,f1152,f169,f4842]) ).
fof(f1165,plain,
( ! [X0,X1] : equidistant(v,w1,X0,extension(X1,X0,v,w))
| ~ spl0_27
| ~ spl0_122 ),
inference(resolution,[],[f1153,f170]) ).
fof(f4802,plain,
( spl0_312
| ~ spl0_22
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1030,f1020,f129,f4800]) ).
fof(f4800,plain,
( spl0_312
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ between(X0,X3,X3)
| ~ equidistant(X0,X4,X0,X5)
| ~ between(X3,X6,X3)
| ~ between(X0,X1,X4)
| continuous(X0,X1,X2,X3,X4,X5) = continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X5),X6,X3,continuous(X0,X1,X2,X3,X4,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_312])]) ).
fof(f1030,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ between(X0,X3,X3)
| ~ equidistant(X0,X4,X0,X5)
| ~ between(X3,X6,X3)
| ~ between(X0,X1,X4)
| continuous(X0,X1,X2,X3,X4,X5) = continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X5),X6,X3,continuous(X0,X1,X2,X3,X4,X5)) )
| ~ spl0_22
| ~ spl0_109 ),
inference(duplicate_literal_removal,[],[f1023]) ).
fof(f1023,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ between(X0,X3,X3)
| ~ equidistant(X0,X4,X0,X5)
| ~ between(X3,X6,X3)
| ~ between(X0,X1,X4)
| continuous(X0,X1,X2,X3,X4,X5) = continuous(X0,X3,continuous(X0,X1,X2,X3,X4,X5),X6,X3,continuous(X0,X1,X2,X3,X4,X5))
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X5)
| ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4) )
| ~ spl0_22
| ~ spl0_109 ),
inference(resolution,[],[f1021,f130]) ).
fof(f4798,plain,
( spl0_311
| ~ spl0_66
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f617,f606,f512,f4796]) ).
fof(f4796,plain,
( spl0_311
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ between(X0,X1,X2)
| ~ equidistant(X0,X2,X0,X3)
| ~ equidistant(X0,X1,X0,X4)
| ~ between(X1,X0,X2)
| ~ between(X0,X5,continuous(X0,X1,X4,X0,X2,X3))
| ~ between(X0,X0,continuous(X0,X1,X4,X0,X2,X3))
| continuous(X0,X0,X0,X5,continuous(X0,X1,X4,X0,X2,X3),X0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_311])]) ).
fof(f617,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(X0,X1,X2)
| ~ equidistant(X0,X2,X0,X3)
| ~ equidistant(X0,X1,X0,X4)
| ~ between(X1,X0,X2)
| ~ between(X0,X5,continuous(X0,X1,X4,X0,X2,X3))
| ~ between(X0,X0,continuous(X0,X1,X4,X0,X2,X3))
| continuous(X0,X0,X0,X5,continuous(X0,X1,X4,X0,X2,X3),X0) = X0 )
| ~ spl0_66
| ~ spl0_73 ),
inference(resolution,[],[f607,f513]) ).
fof(f4766,plain,
( spl0_310
| ~ spl0_27
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f1158,f1148,f169,f4764]) ).
fof(f1158,plain,
( ! [X0,X1] : equidistant(u,w1,X0,extension(X1,X0,u,w))
| ~ spl0_27
| ~ spl0_121 ),
inference(resolution,[],[f1149,f170]) ).
fof(f4762,plain,
( spl0_309
| ~ spl0_33
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f709,f671,f216,f4760]) ).
fof(f4760,plain,
( spl0_309
<=> ! [X5,X4,X0,X3,X2,X1] :
( w1 = inner_pasch(X0,w1,euclid2(X0,X1,X2,w1,X3),continuous(v,w,w1,X4,X5,euclid2(X0,X1,X2,w1,X3)),w1)
| ~ between(X1,X2,w1)
| ~ between(X0,X2,X3)
| X0 = X2
| ~ equidistant(v,X5,v,euclid2(X0,X1,X2,w1,X3))
| ~ between(w,X4,X5)
| ~ between(v,w,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_309])]) ).
fof(f709,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( w1 = inner_pasch(X0,w1,euclid2(X0,X1,X2,w1,X3),continuous(v,w,w1,X4,X5,euclid2(X0,X1,X2,w1,X3)),w1)
| ~ between(X1,X2,w1)
| ~ between(X0,X2,X3)
| X0 = X2
| ~ equidistant(v,X5,v,euclid2(X0,X1,X2,w1,X3))
| ~ between(w,X4,X5)
| ~ between(v,w,X5) )
| ~ spl0_33
| ~ spl0_79 ),
inference(resolution,[],[f672,f217]) ).
fof(f4758,plain,
( spl0_308
| ~ spl0_32
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f708,f671,f212,f4756]) ).
fof(f4756,plain,
( spl0_308
<=> ! [X5,X4,X0,X3,X2,X1] :
( w1 = inner_pasch(X0,w1,euclid2(X0,X1,X2,w1,X3),continuous(u,w,w1,X4,X5,euclid2(X0,X1,X2,w1,X3)),w1)
| ~ between(X1,X2,w1)
| ~ between(X0,X2,X3)
| X0 = X2
| ~ equidistant(u,X5,u,euclid2(X0,X1,X2,w1,X3))
| ~ between(w,X4,X5)
| ~ between(u,w,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_308])]) ).
fof(f708,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( w1 = inner_pasch(X0,w1,euclid2(X0,X1,X2,w1,X3),continuous(u,w,w1,X4,X5,euclid2(X0,X1,X2,w1,X3)),w1)
| ~ between(X1,X2,w1)
| ~ between(X0,X2,X3)
| X0 = X2
| ~ equidistant(u,X5,u,euclid2(X0,X1,X2,w1,X3))
| ~ between(w,X4,X5)
| ~ between(u,w,X5) )
| ~ spl0_32
| ~ spl0_79 ),
inference(resolution,[],[f672,f213]) ).
fof(f4754,plain,
( spl0_307
| ~ spl0_33
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f689,f667,f216,f4752]) ).
fof(f4752,plain,
( spl0_307
<=> ! [X5,X4,X0,X3,X2,X1] :
( w1 = inner_pasch(X0,w1,euclid1(X0,w1,X1,X2,X3),continuous(v,w,w1,X4,X5,euclid1(X0,w1,X1,X2,X3)),w1)
| ~ between(w1,X1,X2)
| ~ between(X0,X1,X3)
| X0 = X1
| ~ equidistant(v,X5,v,euclid1(X0,w1,X1,X2,X3))
| ~ between(w,X4,X5)
| ~ between(v,w,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_307])]) ).
fof(f689,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( w1 = inner_pasch(X0,w1,euclid1(X0,w1,X1,X2,X3),continuous(v,w,w1,X4,X5,euclid1(X0,w1,X1,X2,X3)),w1)
| ~ between(w1,X1,X2)
| ~ between(X0,X1,X3)
| X0 = X1
| ~ equidistant(v,X5,v,euclid1(X0,w1,X1,X2,X3))
| ~ between(w,X4,X5)
| ~ between(v,w,X5) )
| ~ spl0_33
| ~ spl0_78 ),
inference(resolution,[],[f668,f217]) ).
fof(f4750,plain,
( spl0_306
| ~ spl0_32
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f688,f667,f212,f4748]) ).
fof(f4748,plain,
( spl0_306
<=> ! [X5,X4,X0,X3,X2,X1] :
( w1 = inner_pasch(X0,w1,euclid1(X0,w1,X1,X2,X3),continuous(u,w,w1,X4,X5,euclid1(X0,w1,X1,X2,X3)),w1)
| ~ between(w1,X1,X2)
| ~ between(X0,X1,X3)
| X0 = X1
| ~ equidistant(u,X5,u,euclid1(X0,w1,X1,X2,X3))
| ~ between(w,X4,X5)
| ~ between(u,w,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_306])]) ).
fof(f688,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( w1 = inner_pasch(X0,w1,euclid1(X0,w1,X1,X2,X3),continuous(u,w,w1,X4,X5,euclid1(X0,w1,X1,X2,X3)),w1)
| ~ between(w1,X1,X2)
| ~ between(X0,X1,X3)
| X0 = X1
| ~ equidistant(u,X5,u,euclid1(X0,w1,X1,X2,X3))
| ~ between(w,X4,X5)
| ~ between(u,w,X5) )
| ~ spl0_32
| ~ spl0_78 ),
inference(resolution,[],[f668,f213]) ).
fof(f4746,plain,
( spl0_305
| ~ spl0_65
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f595,f582,f502,f4744]) ).
fof(f4744,plain,
( spl0_305
<=> ! [X4,X0,X3,X2,X1] :
( ~ between(v,X0,X1)
| ~ equidistant(v,X1,v,X2)
| ~ equidistant(v,X0,v,X3)
| ~ between(X0,w,X1)
| ~ between(w,X4,continuous(v,X0,X3,w,X1,X2))
| ~ between(v,w,continuous(v,X0,X3,w,X1,X2))
| w1 = continuous(v,w,w1,X4,continuous(v,X0,X3,w,X1,X2),w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_305])]) ).
fof(f595,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ between(v,X0,X1)
| ~ equidistant(v,X1,v,X2)
| ~ equidistant(v,X0,v,X3)
| ~ between(X0,w,X1)
| ~ between(w,X4,continuous(v,X0,X3,w,X1,X2))
| ~ between(v,w,continuous(v,X0,X3,w,X1,X2))
| w1 = continuous(v,w,w1,X4,continuous(v,X0,X3,w,X1,X2),w1) )
| ~ spl0_65
| ~ spl0_72 ),
inference(resolution,[],[f583,f503]) ).
fof(f4742,plain,
( spl0_304
| ~ spl0_64
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f585,f578,f498,f4740]) ).
fof(f4740,plain,
( spl0_304
<=> ! [X4,X0,X3,X2,X1] :
( ~ between(u,X0,X1)
| ~ equidistant(u,X1,u,X2)
| ~ equidistant(u,X0,u,X3)
| ~ between(X0,w,X1)
| ~ between(w,X4,continuous(u,X0,X3,w,X1,X2))
| ~ between(u,w,continuous(u,X0,X3,w,X1,X2))
| w1 = continuous(u,w,w1,X4,continuous(u,X0,X3,w,X1,X2),w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_304])]) ).
fof(f585,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ between(u,X0,X1)
| ~ equidistant(u,X1,u,X2)
| ~ equidistant(u,X0,u,X3)
| ~ between(X0,w,X1)
| ~ between(w,X4,continuous(u,X0,X3,w,X1,X2))
| ~ between(u,w,continuous(u,X0,X3,w,X1,X2))
| w1 = continuous(u,w,w1,X4,continuous(u,X0,X3,w,X1,X2),w1) )
| ~ spl0_64
| ~ spl0_71 ),
inference(resolution,[],[f579,f499]) ).
fof(f4724,plain,
( spl0_303
| ~ spl0_16
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f857,f838,f99,f4722]) ).
fof(f4722,plain,
( spl0_303
<=> ! [X5,X4,X2,X7,X0,X6,X3,X1] :
( inner_pasch(euclid1(X0,X1,X2,X3,X4),X4,euclid2(X0,X1,X2,X3,X4),inner_pasch(euclid2(X0,X1,X2,X3,X4),X5,X6,X4,X7),X4) = X4
| ~ between(X1,X2,X3)
| ~ between(X0,X2,X4)
| X0 = X2
| ~ between(X7,X4,X6)
| ~ between(euclid2(X0,X1,X2,X3,X4),X5,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_303])]) ).
fof(f857,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( inner_pasch(euclid1(X0,X1,X2,X3,X4),X4,euclid2(X0,X1,X2,X3,X4),inner_pasch(euclid2(X0,X1,X2,X3,X4),X5,X6,X4,X7),X4) = X4
| ~ between(X1,X2,X3)
| ~ between(X0,X2,X4)
| X0 = X2
| ~ between(X7,X4,X6)
| ~ between(euclid2(X0,X1,X2,X3,X4),X5,X6) )
| ~ spl0_16
| ~ spl0_90 ),
inference(resolution,[],[f839,f100]) ).
fof(f4720,plain,
( spl0_302
| ~ spl0_15
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f856,f838,f95,f4718]) ).
fof(f4718,plain,
( spl0_302
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( inner_pasch(euclid1(X0,X1,X2,X3,X4),X4,euclid2(X0,X1,X2,X3,X4),inner_pasch(X5,X4,X6,X7,euclid2(X0,X1,X2,X3,X4)),X4) = X4
| ~ between(X1,X2,X3)
| ~ between(X0,X2,X4)
| X0 = X2
| ~ between(euclid2(X0,X1,X2,X3,X4),X7,X6)
| ~ between(X5,X4,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_302])]) ).
fof(f856,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( inner_pasch(euclid1(X0,X1,X2,X3,X4),X4,euclid2(X0,X1,X2,X3,X4),inner_pasch(X5,X4,X6,X7,euclid2(X0,X1,X2,X3,X4)),X4) = X4
| ~ between(X1,X2,X3)
| ~ between(X0,X2,X4)
| X0 = X2
| ~ between(euclid2(X0,X1,X2,X3,X4),X7,X6)
| ~ between(X5,X4,X6) )
| ~ spl0_15
| ~ spl0_90 ),
inference(resolution,[],[f839,f96]) ).
fof(f4696,plain,
( spl0_301
| ~ spl0_42
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f485,f474,f296,f4694]) ).
fof(f4694,plain,
( spl0_301
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( inner_pasch(X0,X1,extension(X0,X1,X2,X3),continuous(X4,extension(X5,X4,X4,X1),X1,X6,X7,extension(X0,X1,X2,X3)),X1) = X1
| ~ equidistant(X4,X7,X4,extension(X0,X1,X2,X3))
| ~ between(extension(X5,X4,X4,X1),X6,X7)
| ~ between(X4,extension(X5,X4,X4,X1),X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_301])]) ).
fof(f485,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( inner_pasch(X0,X1,extension(X0,X1,X2,X3),continuous(X4,extension(X5,X4,X4,X1),X1,X6,X7,extension(X0,X1,X2,X3)),X1) = X1
| ~ equidistant(X4,X7,X4,extension(X0,X1,X2,X3))
| ~ between(extension(X5,X4,X4,X1),X6,X7)
| ~ between(X4,extension(X5,X4,X4,X1),X7) )
| ~ spl0_42
| ~ spl0_61 ),
inference(resolution,[],[f475,f297]) ).
fof(f4690,plain,
( spl0_300
| ~ spl0_12
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f803,f779,f77,f4688]) ).
fof(f4688,plain,
( spl0_300
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ equidistant(X0,extension(extension(X1,X0,X0,X2),X3,X4,X5),X0,X2)
| ~ between(X0,extension(X1,X0,X0,X2),extension(extension(X1,X0,X0,X2),X3,X4,X5))
| continuous(X0,extension(X1,X0,X0,X2),X2,X3,extension(extension(X1,X0,X0,X2),X3,X4,X5),X2) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_300])]) ).
fof(f803,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,extension(extension(X1,X0,X0,X2),X3,X4,X5),X0,X2)
| ~ between(X0,extension(X1,X0,X0,X2),extension(extension(X1,X0,X0,X2),X3,X4,X5))
| continuous(X0,extension(X1,X0,X0,X2),X2,X3,extension(extension(X1,X0,X0,X2),X3,X4,X5),X2) = X2 )
| ~ spl0_12
| ~ spl0_88 ),
inference(resolution,[],[f780,f78]) ).
fof(f4591,plain,
( spl0_299
| ~ spl0_16
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f807,f779,f99,f4589]) ).
fof(f4589,plain,
( spl0_299
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X0,extension(X3,X0,X0,X2),X1)
| continuous(X0,extension(X3,X0,X0,X2),X2,inner_pasch(X1,X4,X5,extension(X3,X0,X0,X2),X6),X1,X2) = X2
| ~ between(X6,extension(X3,X0,X0,X2),X5)
| ~ between(X1,X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_299])]) ).
fof(f807,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X0,extension(X3,X0,X0,X2),X1)
| continuous(X0,extension(X3,X0,X0,X2),X2,inner_pasch(X1,X4,X5,extension(X3,X0,X0,X2),X6),X1,X2) = X2
| ~ between(X6,extension(X3,X0,X0,X2),X5)
| ~ between(X1,X4,X5) )
| ~ spl0_16
| ~ spl0_88 ),
inference(resolution,[],[f780,f100]) ).
fof(f4587,plain,
( spl0_298
| ~ spl0_15
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f806,f779,f95,f4585]) ).
fof(f4585,plain,
( spl0_298
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X0,extension(X3,X0,X0,X2),X1)
| continuous(X0,extension(X3,X0,X0,X2),X2,inner_pasch(X4,extension(X3,X0,X0,X2),X5,X6,X1),X1,X2) = X2
| ~ between(X1,X6,X5)
| ~ between(X4,extension(X3,X0,X0,X2),X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_298])]) ).
fof(f806,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X0,extension(X3,X0,X0,X2),X1)
| continuous(X0,extension(X3,X0,X0,X2),X2,inner_pasch(X4,extension(X3,X0,X0,X2),X5,X6,X1),X1,X2) = X2
| ~ between(X1,X6,X5)
| ~ between(X4,extension(X3,X0,X0,X2),X5) )
| ~ spl0_15
| ~ spl0_88 ),
inference(resolution,[],[f780,f96]) ).
fof(f4583,plain,
( spl0_297
| ~ spl0_16
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f705,f671,f99,f4581]) ).
fof(f4581,plain,
( spl0_297
<=> ! [X5,X3,X4,X2,X7,X0,X6,X1] :
( inner_pasch(X0,X1,euclid2(X0,X2,X3,X1,X4),inner_pasch(euclid2(X0,X2,X3,X1,X4),X5,X6,X1,X7),X1) = X1
| ~ between(X2,X3,X1)
| ~ between(X0,X3,X4)
| X0 = X3
| ~ between(X7,X1,X6)
| ~ between(euclid2(X0,X2,X3,X1,X4),X5,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_297])]) ).
fof(f705,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( inner_pasch(X0,X1,euclid2(X0,X2,X3,X1,X4),inner_pasch(euclid2(X0,X2,X3,X1,X4),X5,X6,X1,X7),X1) = X1
| ~ between(X2,X3,X1)
| ~ between(X0,X3,X4)
| X0 = X3
| ~ between(X7,X1,X6)
| ~ between(euclid2(X0,X2,X3,X1,X4),X5,X6) )
| ~ spl0_16
| ~ spl0_79 ),
inference(resolution,[],[f672,f100]) ).
fof(f4579,plain,
( spl0_296
| ~ spl0_15
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f704,f671,f95,f4577]) ).
fof(f4577,plain,
( spl0_296
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( inner_pasch(X0,X1,euclid2(X0,X2,X3,X1,X4),inner_pasch(X5,X1,X6,X7,euclid2(X0,X2,X3,X1,X4)),X1) = X1
| ~ between(X2,X3,X1)
| ~ between(X0,X3,X4)
| X0 = X3
| ~ between(euclid2(X0,X2,X3,X1,X4),X7,X6)
| ~ between(X5,X1,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_296])]) ).
fof(f704,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( inner_pasch(X0,X1,euclid2(X0,X2,X3,X1,X4),inner_pasch(X5,X1,X6,X7,euclid2(X0,X2,X3,X1,X4)),X1) = X1
| ~ between(X2,X3,X1)
| ~ between(X0,X3,X4)
| X0 = X3
| ~ between(euclid2(X0,X2,X3,X1,X4),X7,X6)
| ~ between(X5,X1,X6) )
| ~ spl0_15
| ~ spl0_79 ),
inference(resolution,[],[f672,f96]) ).
fof(f4575,plain,
( spl0_295
| ~ spl0_16
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f685,f667,f99,f4573]) ).
fof(f4573,plain,
( spl0_295
<=> ! [X5,X3,X4,X2,X7,X0,X6,X1] :
( inner_pasch(X0,X1,euclid1(X0,X1,X2,X3,X4),inner_pasch(euclid1(X0,X1,X2,X3,X4),X5,X6,X1,X7),X1) = X1
| ~ between(X1,X2,X3)
| ~ between(X0,X2,X4)
| X0 = X2
| ~ between(X7,X1,X6)
| ~ between(euclid1(X0,X1,X2,X3,X4),X5,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_295])]) ).
fof(f685,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( inner_pasch(X0,X1,euclid1(X0,X1,X2,X3,X4),inner_pasch(euclid1(X0,X1,X2,X3,X4),X5,X6,X1,X7),X1) = X1
| ~ between(X1,X2,X3)
| ~ between(X0,X2,X4)
| X0 = X2
| ~ between(X7,X1,X6)
| ~ between(euclid1(X0,X1,X2,X3,X4),X5,X6) )
| ~ spl0_16
| ~ spl0_78 ),
inference(resolution,[],[f668,f100]) ).
fof(f4571,plain,
( spl0_294
| ~ spl0_15
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f684,f667,f95,f4569]) ).
fof(f4569,plain,
( spl0_294
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( inner_pasch(X0,X1,euclid1(X0,X1,X2,X3,X4),inner_pasch(X5,X1,X6,X7,euclid1(X0,X1,X2,X3,X4)),X1) = X1
| ~ between(X1,X2,X3)
| ~ between(X0,X2,X4)
| X0 = X2
| ~ between(euclid1(X0,X1,X2,X3,X4),X7,X6)
| ~ between(X5,X1,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_294])]) ).
fof(f684,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( inner_pasch(X0,X1,euclid1(X0,X1,X2,X3,X4),inner_pasch(X5,X1,X6,X7,euclid1(X0,X1,X2,X3,X4)),X1) = X1
| ~ between(X1,X2,X3)
| ~ between(X0,X2,X4)
| X0 = X2
| ~ between(euclid1(X0,X1,X2,X3,X4),X7,X6)
| ~ between(X5,X1,X6) )
| ~ spl0_15
| ~ spl0_78 ),
inference(resolution,[],[f668,f96]) ).
fof(f4567,plain,
( spl0_293
| ~ spl0_20
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f554,f527,f117,f4565]) ).
fof(f4565,plain,
( spl0_293
<=> ! [X5,X3,X4,X2,X0,X6,X1,X7] :
( inner_pasch(X0,inner_pasch(X1,X2,euclid2(X3,X4,X5,X6,X0),X0,euclid1(X3,X4,X5,X6,X0)),X1,X0,X7) = X0
| ~ between(X7,X0,X1)
| ~ between(X1,X2,euclid2(X3,X4,X5,X6,X0))
| ~ between(X4,X5,X6)
| ~ between(X3,X5,X0)
| X3 = X5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_293])]) ).
fof(f554,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( inner_pasch(X0,inner_pasch(X1,X2,euclid2(X3,X4,X5,X6,X0),X0,euclid1(X3,X4,X5,X6,X0)),X1,X0,X7) = X0
| ~ between(X7,X0,X1)
| ~ between(X1,X2,euclid2(X3,X4,X5,X6,X0))
| ~ between(X4,X5,X6)
| ~ between(X3,X5,X0)
| X3 = X5 )
| ~ spl0_20
| ~ spl0_68 ),
inference(resolution,[],[f528,f118]) ).
fof(f4563,plain,
( spl0_292
| ~ spl0_29
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f1331,f1311,f186,f4561]) ).
fof(f4561,plain,
( spl0_292
<=> ! [X0,X1] : inner_pasch(X0,X1,X1,X1,X1) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_292])]) ).
fof(f1331,plain,
( ! [X0,X1] : inner_pasch(X0,X1,X1,X1,X1) = X1
| ~ spl0_29
| ~ spl0_131 ),
inference(resolution,[],[f1312,f187]) ).
fof(f4559,plain,
( spl0_291
| ~ spl0_20
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f537,f523,f117,f4557]) ).
fof(f4557,plain,
( spl0_291
<=> ! [X5,X1,X4,X2,X0,X6,X3,X7] :
( inner_pasch(X0,inner_pasch(euclid1(X1,X2,X3,X4,X0),X0,euclid2(X1,X2,X3,X4,X0),X5,X6),X6,X0,X7) = X0
| ~ between(X6,X5,euclid2(X1,X2,X3,X4,X0))
| ~ between(X7,X0,X6)
| ~ between(X2,X3,X4)
| ~ between(X1,X3,X0)
| X1 = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_291])]) ).
fof(f537,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( inner_pasch(X0,inner_pasch(euclid1(X1,X2,X3,X4,X0),X0,euclid2(X1,X2,X3,X4,X0),X5,X6),X6,X0,X7) = X0
| ~ between(X6,X5,euclid2(X1,X2,X3,X4,X0))
| ~ between(X7,X0,X6)
| ~ between(X2,X3,X4)
| ~ between(X1,X3,X0)
| X1 = X3 )
| ~ spl0_20
| ~ spl0_67 ),
inference(resolution,[],[f524,f118]) ).
fof(f4555,plain,
( spl0_290
| ~ spl0_24
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f428,f412,f146,f4553]) ).
fof(f4553,plain,
( spl0_290
<=> ! [X5,X3,X4,X0,X7,X6,X2,X1] :
( ~ between(X0,X1,X2)
| ~ between(X3,extension(X4,X5,X1,X6),X7)
| extension(X4,X5,X1,X6) = X3
| ~ equidistant(X3,X5,X0,X6)
| ~ equidistant(extension(X4,X5,X1,X6),X7,X1,X2)
| ~ equidistant(X3,extension(X4,X5,X1,X6),X0,X1)
| equidistant(X7,X5,X2,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_290])]) ).
fof(f428,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ between(X0,X1,X2)
| ~ between(X3,extension(X4,X5,X1,X6),X7)
| extension(X4,X5,X1,X6) = X3
| ~ equidistant(X3,X5,X0,X6)
| ~ equidistant(extension(X4,X5,X1,X6),X7,X1,X2)
| ~ equidistant(X3,extension(X4,X5,X1,X6),X0,X1)
| equidistant(X7,X5,X2,X6) )
| ~ spl0_24
| ~ spl0_54 ),
inference(resolution,[],[f413,f147]) ).
fof(f4529,plain,
( spl0_289
| ~ spl0_39
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f426,f412,f264,f4527]) ).
fof(f4527,plain,
( spl0_289
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ between(X0,extension(X1,X2,X3,X4),X2)
| extension(X1,X2,X3,X4) = X0
| ~ equidistant(X0,X3,X5,extension(X1,X2,X3,X4))
| ~ between(X5,X3,X4)
| ~ equidistant(X0,extension(X1,X2,X3,X4),X5,X3)
| equidistant(X2,X3,X4,extension(X1,X2,X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_289])]) ).
fof(f426,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(X0,extension(X1,X2,X3,X4),X2)
| extension(X1,X2,X3,X4) = X0
| ~ equidistant(X0,X3,X5,extension(X1,X2,X3,X4))
| ~ between(X5,X3,X4)
| ~ equidistant(X0,extension(X1,X2,X3,X4),X5,X3)
| equidistant(X2,X3,X4,extension(X1,X2,X3,X4)) )
| ~ spl0_39
| ~ spl0_54 ),
inference(resolution,[],[f413,f265]) ).
fof(f4525,plain,
( spl0_288
| ~ spl0_44
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f421,f408,f311,f4523]) ).
fof(f4523,plain,
( spl0_288
<=> ! [X5,X3,X4,X0,X7,X6,X2,X1] :
( ~ between(X0,X1,X2)
| X0 = X1
| ~ between(extension(X3,X4,X0,extension(X5,X1,X6,X4)),X6,X7)
| ~ equidistant(X1,X2,X6,X7)
| ~ equidistant(X0,X1,extension(X3,X4,X0,extension(X5,X1,X6,X4)),X6)
| equidistant(X2,extension(X5,X1,X6,X4),X7,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_288])]) ).
fof(f421,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ between(X0,X1,X2)
| X0 = X1
| ~ between(extension(X3,X4,X0,extension(X5,X1,X6,X4)),X6,X7)
| ~ equidistant(X1,X2,X6,X7)
| ~ equidistant(X0,X1,extension(X3,X4,X0,extension(X5,X1,X6,X4)),X6)
| equidistant(X2,extension(X5,X1,X6,X4),X7,X4) )
| ~ spl0_44
| ~ spl0_53 ),
inference(resolution,[],[f409,f312]) ).
fof(f4445,plain,
( spl0_287
| ~ spl0_13
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f866,f847,f82,f4443]) ).
fof(f4443,plain,
( spl0_287
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,extension(X3,X0,X4,extension(X5,X4,X6,X7)),X8)
| ~ equidistant(X0,X8,X0,X9)
| ~ between(X0,X1,X8)
| equidistant(X0,continuous(X0,X1,X2,extension(X3,X0,X4,extension(X5,X4,X6,X7)),X8,X9),X6,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_287])]) ).
fof(f866,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,extension(X3,X0,X4,extension(X5,X4,X6,X7)),X8)
| ~ equidistant(X0,X8,X0,X9)
| ~ between(X0,X1,X8)
| equidistant(X0,continuous(X0,X1,X2,extension(X3,X0,X4,extension(X5,X4,X6,X7)),X8,X9),X6,X7) )
| ~ spl0_13
| ~ spl0_91 ),
inference(resolution,[],[f848,f83]) ).
fof(f4425,plain,
( spl0_286
| ~ spl0_24
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f417,f408,f146,f4423]) ).
fof(f4423,plain,
( spl0_286
<=> ! [X3,X4,X0,X7,X6,X5,X2,X1] :
( ~ between(X0,extension(X1,X2,X3,X4),X5)
| ~ between(X6,X3,X7)
| X3 = X6
| ~ equidistant(X6,X4,X0,X2)
| ~ equidistant(X3,X7,extension(X1,X2,X3,X4),X5)
| ~ equidistant(X6,X3,X0,extension(X1,X2,X3,X4))
| equidistant(X7,X4,X5,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_286])]) ).
fof(f417,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ between(X0,extension(X1,X2,X3,X4),X5)
| ~ between(X6,X3,X7)
| X3 = X6
| ~ equidistant(X6,X4,X0,X2)
| ~ equidistant(X3,X7,extension(X1,X2,X3,X4),X5)
| ~ equidistant(X6,X3,X0,extension(X1,X2,X3,X4))
| equidistant(X7,X4,X5,X2) )
| ~ spl0_24
| ~ spl0_53 ),
inference(resolution,[],[f409,f147]) ).
fof(f4421,plain,
( spl0_285
| ~ spl0_29
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f1318,f1307,f186,f4419]) ).
fof(f4419,plain,
( spl0_285
<=> ! [X0,X1] : inner_pasch(X0,X0,X0,X0,X1) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_285])]) ).
fof(f1318,plain,
( ! [X0,X1] : inner_pasch(X0,X0,X0,X0,X1) = X0
| ~ spl0_29
| ~ spl0_130 ),
inference(resolution,[],[f1308,f187]) ).
fof(f4327,plain,
( spl0_284
| ~ spl0_14
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f819,f811,f87,f4325]) ).
fof(f4325,plain,
( spl0_284
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ between(X0,X1,X2)
| ~ equidistant(X0,X2,X0,X3)
| ~ equidistant(X0,X1,X0,X4)
| ~ between(X1,extension(X5,X0,X6,X7),X2)
| ~ equidistant(X0,continuous(X0,X1,X4,extension(X5,X0,X6,X7),X2,X3),X8,X9)
| equidistant(X8,X9,X6,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_284])]) ).
fof(f819,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ between(X0,X1,X2)
| ~ equidistant(X0,X2,X0,X3)
| ~ equidistant(X0,X1,X0,X4)
| ~ between(X1,extension(X5,X0,X6,X7),X2)
| ~ equidistant(X0,continuous(X0,X1,X4,extension(X5,X0,X6,X7),X2,X3),X8,X9)
| equidistant(X8,X9,X6,X7) )
| ~ spl0_14
| ~ spl0_89 ),
inference(resolution,[],[f812,f88]) ).
fof(f4323,plain,
( spl0_283
| ~ spl0_18
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f550,f527,f109,f4321]) ).
fof(f4321,plain,
( spl0_283
<=> ! [X5,X6,X4,X2,X0,X3,X1,X7] :
( inner_pasch(X0,inner_pasch(X1,X2,euclid2(X3,X4,X5,X0,X6),X0,X3),X1,X0,X7) = X0
| ~ between(X7,X0,X1)
| ~ between(X1,X2,euclid2(X3,X4,X5,X0,X6))
| ~ between(X4,X5,X0)
| ~ between(X3,X5,X6)
| X3 = X5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_283])]) ).
fof(f550,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( inner_pasch(X0,inner_pasch(X1,X2,euclid2(X3,X4,X5,X0,X6),X0,X3),X1,X0,X7) = X0
| ~ between(X7,X0,X1)
| ~ between(X1,X2,euclid2(X3,X4,X5,X0,X6))
| ~ between(X4,X5,X0)
| ~ between(X3,X5,X6)
| X3 = X5 )
| ~ spl0_18
| ~ spl0_68 ),
inference(resolution,[],[f528,f110]) ).
fof(f4319,plain,
( spl0_282
| ~ spl0_17
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f549,f527,f105,f4317]) ).
fof(f4317,plain,
( spl0_282
<=> ! [X5,X6,X4,X2,X0,X3,X1,X7] :
( inner_pasch(X0,inner_pasch(X1,X2,euclid1(X3,X0,X4,X5,X6),X0,X3),X1,X0,X7) = X0
| ~ between(X7,X0,X1)
| ~ between(X1,X2,euclid1(X3,X0,X4,X5,X6))
| ~ between(X0,X4,X5)
| ~ between(X3,X4,X6)
| X3 = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_282])]) ).
fof(f549,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( inner_pasch(X0,inner_pasch(X1,X2,euclid1(X3,X0,X4,X5,X6),X0,X3),X1,X0,X7) = X0
| ~ between(X7,X0,X1)
| ~ between(X1,X2,euclid1(X3,X0,X4,X5,X6))
| ~ between(X0,X4,X5)
| ~ between(X3,X4,X6)
| X3 = X4 )
| ~ spl0_17
| ~ spl0_68 ),
inference(resolution,[],[f528,f106]) ).
fof(f4311,plain,
( spl0_281
| ~ spl0_18
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f533,f523,f109,f4309]) ).
fof(f4309,plain,
( spl0_281
<=> ! [X5,X1,X4,X2,X0,X6,X3,X7] :
( inner_pasch(X0,inner_pasch(X1,X0,euclid2(X1,X2,X3,X0,X4),X5,X6),X6,X0,X7) = X0
| ~ between(X6,X5,euclid2(X1,X2,X3,X0,X4))
| ~ between(X7,X0,X6)
| ~ between(X2,X3,X0)
| ~ between(X1,X3,X4)
| X1 = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_281])]) ).
fof(f533,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( inner_pasch(X0,inner_pasch(X1,X0,euclid2(X1,X2,X3,X0,X4),X5,X6),X6,X0,X7) = X0
| ~ between(X6,X5,euclid2(X1,X2,X3,X0,X4))
| ~ between(X7,X0,X6)
| ~ between(X2,X3,X0)
| ~ between(X1,X3,X4)
| X1 = X3 )
| ~ spl0_18
| ~ spl0_67 ),
inference(resolution,[],[f524,f110]) ).
fof(f4307,plain,
( spl0_280
| ~ spl0_17
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f532,f523,f105,f4305]) ).
fof(f4305,plain,
( spl0_280
<=> ! [X5,X1,X4,X2,X0,X6,X3,X7] :
( inner_pasch(X0,inner_pasch(X1,X0,euclid1(X1,X0,X2,X3,X4),X5,X6),X6,X0,X7) = X0
| ~ between(X6,X5,euclid1(X1,X0,X2,X3,X4))
| ~ between(X7,X0,X6)
| ~ between(X0,X2,X3)
| ~ between(X1,X2,X4)
| X1 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_280])]) ).
fof(f532,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( inner_pasch(X0,inner_pasch(X1,X0,euclid1(X1,X0,X2,X3,X4),X5,X6),X6,X0,X7) = X0
| ~ between(X6,X5,euclid1(X1,X0,X2,X3,X4))
| ~ between(X7,X0,X6)
| ~ between(X0,X2,X3)
| ~ between(X1,X2,X4)
| X1 = X2 )
| ~ spl0_17
| ~ spl0_67 ),
inference(resolution,[],[f524,f106]) ).
fof(f4303,plain,
( spl0_279
| ~ spl0_39
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f415,f408,f264,f4301]) ).
fof(f4301,plain,
( spl0_279
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ between(X0,X1,X2)
| X0 = X1
| ~ equidistant(X0,extension(X3,X4,X1,X2),X5,X1)
| ~ between(X5,extension(X3,X4,X1,X2),X4)
| ~ equidistant(X0,X1,X5,extension(X3,X4,X1,X2))
| equidistant(X2,extension(X3,X4,X1,X2),X4,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_279])]) ).
fof(f415,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(X0,X1,X2)
| X0 = X1
| ~ equidistant(X0,extension(X3,X4,X1,X2),X5,X1)
| ~ between(X5,extension(X3,X4,X1,X2),X4)
| ~ equidistant(X0,X1,X5,extension(X3,X4,X1,X2))
| equidistant(X2,extension(X3,X4,X1,X2),X4,X1) )
| ~ spl0_39
| ~ spl0_53 ),
inference(resolution,[],[f409,f265]) ).
fof(f4299,plain,
( spl0_278
| ~ spl0_44
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f390,f375,f311,f4297]) ).
fof(f4297,plain,
( spl0_278
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ between(extension(X0,X1,X2,X3),X1,X4)
| extension(X0,X1,X2,X3) = X1
| ~ between(X3,X2,X5)
| ~ equidistant(X1,X4,X2,X5)
| ~ equidistant(extension(X0,X1,X2,X3),X1,X3,X2)
| equidistant(X4,extension(X0,X1,X2,X3),X5,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_278])]) ).
fof(f390,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(extension(X0,X1,X2,X3),X1,X4)
| extension(X0,X1,X2,X3) = X1
| ~ between(X3,X2,X5)
| ~ equidistant(X1,X4,X2,X5)
| ~ equidistant(extension(X0,X1,X2,X3),X1,X3,X2)
| equidistant(X4,extension(X0,X1,X2,X3),X5,X3) )
| ~ spl0_44
| ~ spl0_51 ),
inference(resolution,[],[f376,f312]) ).
fof(f4239,plain,
( spl0_277
| ~ spl0_29
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f961,f957,f186,f4237]) ).
fof(f4237,plain,
( spl0_277
<=> ! [X0,X3,X2,X1] :
( ~ between(X0,X1,X2)
| ~ between(X0,X0,X2)
| ~ equidistant(X0,X2,X0,X3)
| continuous(X0,X0,X0,X1,X2,X3) = inner_pasch(X0,continuous(X0,X0,X0,X1,X2,X3),X3,X3,continuous(X0,X0,X0,X1,X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_277])]) ).
fof(f961,plain,
( ! [X2,X3,X0,X1] :
( ~ between(X0,X1,X2)
| ~ between(X0,X0,X2)
| ~ equidistant(X0,X2,X0,X3)
| continuous(X0,X0,X0,X1,X2,X3) = inner_pasch(X0,continuous(X0,X0,X0,X1,X2,X3),X3,X3,continuous(X0,X0,X0,X1,X2,X3)) )
| ~ spl0_29
| ~ spl0_99 ),
inference(resolution,[],[f958,f187]) ).
fof(f4235,plain,
( spl0_276
| ~ spl0_14
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f789,f775,f87,f4233]) ).
fof(f789,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X5,X6)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X7)
| ~ equidistant(X0,continuous(X0,X1,X2,X3,X4,X7),X8,X9)
| equidistant(X8,X9,X6,X5) )
| ~ spl0_14
| ~ spl0_87 ),
inference(resolution,[],[f776,f88]) ).
fof(f4119,plain,
( spl0_275
| ~ spl0_29
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f951,f941,f186,f4117]) ).
fof(f4117,plain,
( spl0_275
<=> ! [X2,X0,X1] :
( ~ between(w,X0,X1)
| ~ between(v,w,X1)
| ~ equidistant(v,X1,v,X2)
| continuous(v,w,w1,X0,X1,X2) = inner_pasch(w1,continuous(v,w,w1,X0,X1,X2),X2,X2,continuous(v,w,w1,X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_275])]) ).
fof(f951,plain,
( ! [X2,X0,X1] :
( ~ between(w,X0,X1)
| ~ between(v,w,X1)
| ~ equidistant(v,X1,v,X2)
| continuous(v,w,w1,X0,X1,X2) = inner_pasch(w1,continuous(v,w,w1,X0,X1,X2),X2,X2,continuous(v,w,w1,X0,X1,X2)) )
| ~ spl0_29
| ~ spl0_98 ),
inference(resolution,[],[f942,f187]) ).
fof(f4115,plain,
( spl0_274
| ~ spl0_29
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f945,f937,f186,f4113]) ).
fof(f4113,plain,
( spl0_274
<=> ! [X2,X0,X1] :
( ~ between(w,X0,X1)
| ~ between(u,w,X1)
| ~ equidistant(u,X1,u,X2)
| continuous(u,w,w1,X0,X1,X2) = inner_pasch(w1,continuous(u,w,w1,X0,X1,X2),X2,X2,continuous(u,w,w1,X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_274])]) ).
fof(f945,plain,
( ! [X2,X0,X1] :
( ~ between(w,X0,X1)
| ~ between(u,w,X1)
| ~ equidistant(u,X1,u,X2)
| continuous(u,w,w1,X0,X1,X2) = inner_pasch(w1,continuous(u,w,w1,X0,X1,X2),X2,X2,continuous(u,w,w1,X0,X1,X2)) )
| ~ spl0_29
| ~ spl0_97 ),
inference(resolution,[],[f938,f187]) ).
fof(f4111,plain,
( spl0_273
| ~ spl0_14
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f763,f730,f87,f4109]) ).
fof(f763,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,v,w)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X5)
| ~ equidistant(X0,continuous(X0,X1,X2,X3,X4,X5),X6,X7)
| equidistant(X6,X7,v,w1) )
| ~ spl0_14
| ~ spl0_85 ),
inference(resolution,[],[f731,f88]) ).
fof(f4107,plain,
( spl0_272
| ~ spl0_14
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f741,f726,f87,f4105]) ).
fof(f741,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,u,w)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X5)
| ~ equidistant(X0,continuous(X0,X1,X2,X3,X4,X5),X6,X7)
| equidistant(X6,X7,u,w1) )
| ~ spl0_14
| ~ spl0_84 ),
inference(resolution,[],[f727,f88]) ).
fof(f4103,plain,
( spl0_271
| ~ spl0_33
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f488,f474,f216,f4101]) ).
fof(f4101,plain,
( spl0_271
<=> ! [X4,X0,X3,X2,X1] :
( w1 = inner_pasch(X0,w1,extension(X0,w1,X1,X2),continuous(v,w,w1,X3,X4,extension(X0,w1,X1,X2)),w1)
| ~ equidistant(v,X4,v,extension(X0,w1,X1,X2))
| ~ between(w,X3,X4)
| ~ between(v,w,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_271])]) ).
fof(f488,plain,
( ! [X2,X3,X0,X1,X4] :
( w1 = inner_pasch(X0,w1,extension(X0,w1,X1,X2),continuous(v,w,w1,X3,X4,extension(X0,w1,X1,X2)),w1)
| ~ equidistant(v,X4,v,extension(X0,w1,X1,X2))
| ~ between(w,X3,X4)
| ~ between(v,w,X4) )
| ~ spl0_33
| ~ spl0_61 ),
inference(resolution,[],[f475,f217]) ).
fof(f4095,plain,
( spl0_270
| ~ spl0_32
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f487,f474,f212,f4093]) ).
fof(f4093,plain,
( spl0_270
<=> ! [X4,X0,X3,X2,X1] :
( w1 = inner_pasch(X0,w1,extension(X0,w1,X1,X2),continuous(u,w,w1,X3,X4,extension(X0,w1,X1,X2)),w1)
| ~ equidistant(u,X4,u,extension(X0,w1,X1,X2))
| ~ between(w,X3,X4)
| ~ between(u,w,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_270])]) ).
fof(f487,plain,
( ! [X2,X3,X0,X1,X4] :
( w1 = inner_pasch(X0,w1,extension(X0,w1,X1,X2),continuous(u,w,w1,X3,X4,extension(X0,w1,X1,X2)),w1)
| ~ equidistant(u,X4,u,extension(X0,w1,X1,X2))
| ~ between(w,X3,X4)
| ~ between(u,w,X4) )
| ~ spl0_32
| ~ spl0_61 ),
inference(resolution,[],[f475,f213]) ).
fof(f4091,plain,
( spl0_269
| ~ spl0_42
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f460,f445,f296,f4089]) ).
fof(f445,plain,
( spl0_56
<=> ! [X0] :
( ~ between(v,X0,w)
| v = inner_pasch(u,v,w,X0,v) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f460,plain,
( ! [X2,X3,X0,X1] :
( v = inner_pasch(u,v,w,continuous(X0,extension(X1,X0,X0,v),v,X2,X3,w),v)
| ~ equidistant(X0,X3,X0,w)
| ~ between(extension(X1,X0,X0,v),X2,X3)
| ~ between(X0,extension(X1,X0,X0,v),X3) )
| ~ spl0_42
| ~ spl0_56 ),
inference(resolution,[],[f446,f297]) ).
fof(f446,plain,
( ! [X0] :
( ~ between(v,X0,w)
| v = inner_pasch(u,v,w,X0,v) )
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f445]) ).
fof(f4021,plain,
( spl0_268
| ~ spl0_13
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f885,f875,f82,f4019]) ).
fof(f4019,plain,
( spl0_268
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X5,extension(X6,X5,X7,X8))
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X9)
| equidistant(X7,X8,X0,continuous(X0,X1,X2,X3,X4,X9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_268])]) ).
fof(f885,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X5,extension(X6,X5,X7,X8))
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X9)
| equidistant(X7,X8,X0,continuous(X0,X1,X2,X3,X4,X9)) )
| ~ spl0_13
| ~ spl0_93 ),
inference(resolution,[],[f876,f83]) ).
fof(f4017,plain,
( spl0_267
| ~ spl0_54
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f884,f875,f412,f4015]) ).
fof(f4015,plain,
( spl0_267
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,extension(X5,X6,X7,X8),X6)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X9)
| equidistant(X7,X8,X0,continuous(X0,X1,X2,X3,X4,X9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_267])]) ).
fof(f884,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,extension(X5,X6,X7,X8),X6)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X9)
| equidistant(X7,X8,X0,continuous(X0,X1,X2,X3,X4,X9)) )
| ~ spl0_54
| ~ spl0_93 ),
inference(resolution,[],[f876,f413]) ).
fof(f4013,plain,
( spl0_266
| ~ spl0_53
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f883,f875,f408,f4011]) ).
fof(f4011,plain,
( spl0_266
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X5,X6)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X7)
| equidistant(extension(X8,X9,X5,X6),X9,X0,continuous(X0,X1,X2,X3,X4,X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_266])]) ).
fof(f883,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X5,X6)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X7)
| equidistant(extension(X8,X9,X5,X6),X9,X0,continuous(X0,X1,X2,X3,X4,X7)) )
| ~ spl0_53
| ~ spl0_93 ),
inference(resolution,[],[f876,f409]) ).
fof(f4009,plain,
( spl0_265
| ~ spl0_13
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f660,f652,f82,f4007]) ).
fof(f4007,plain,
( spl0_265
<=> ! [X4,X0,X3,X2,X1] :
( ~ between(X0,X1,extension(X2,X0,X0,X3))
| ~ between(X0,X0,extension(X2,X0,X0,X3))
| ~ between(X4,X0,X3)
| inner_pasch(X0,continuous(X0,X0,X0,X1,extension(X2,X0,X0,X3),X3),X3,X0,X4) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_265])]) ).
fof(f660,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ between(X0,X1,extension(X2,X0,X0,X3))
| ~ between(X0,X0,extension(X2,X0,X0,X3))
| ~ between(X4,X0,X3)
| inner_pasch(X0,continuous(X0,X0,X0,X1,extension(X2,X0,X0,X3),X3),X3,X0,X4) = X0 )
| ~ spl0_13
| ~ spl0_77 ),
inference(resolution,[],[f653,f83]) ).
fof(f4005,plain,
( spl0_264
| ~ spl0_130
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f2526,f2330,f1307,f4002]) ).
fof(f4002,plain,
( spl0_264
<=> u = inner_pasch(u,w,w,u,u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_264])]) ).
fof(f2526,plain,
( u = inner_pasch(u,w,w,u,u)
| ~ spl0_130
| ~ spl0_198 ),
inference(resolution,[],[f2331,f1308]) ).
fof(f3988,plain,
( spl0_263
| ~ spl0_13
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f647,f630,f82,f3986]) ).
fof(f3986,plain,
( spl0_263
<=> ! [X0,X3,X2,X1] :
( ~ between(w,X0,extension(X1,v,v,X2))
| ~ between(v,w,extension(X1,v,v,X2))
| ~ between(X3,w1,X2)
| w1 = inner_pasch(w1,continuous(v,w,w1,X0,extension(X1,v,v,X2),X2),X2,w1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_263])]) ).
fof(f647,plain,
( ! [X2,X3,X0,X1] :
( ~ between(w,X0,extension(X1,v,v,X2))
| ~ between(v,w,extension(X1,v,v,X2))
| ~ between(X3,w1,X2)
| w1 = inner_pasch(w1,continuous(v,w,w1,X0,extension(X1,v,v,X2),X2),X2,w1,X3) )
| ~ spl0_13
| ~ spl0_76 ),
inference(resolution,[],[f631,f83]) ).
fof(f3984,plain,
( spl0_262
| ~ spl0_13
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f638,f621,f82,f3982]) ).
fof(f3982,plain,
( spl0_262
<=> ! [X0,X3,X2,X1] :
( ~ between(w,X0,extension(X1,u,u,X2))
| ~ between(u,w,extension(X1,u,u,X2))
| ~ between(X3,w1,X2)
| w1 = inner_pasch(w1,continuous(u,w,w1,X0,extension(X1,u,u,X2),X2),X2,w1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_262])]) ).
fof(f638,plain,
( ! [X2,X3,X0,X1] :
( ~ between(w,X0,extension(X1,u,u,X2))
| ~ between(u,w,extension(X1,u,u,X2))
| ~ between(X3,w1,X2)
| w1 = inner_pasch(w1,continuous(u,w,w1,X0,extension(X1,u,u,X2),X2),X2,w1,X3) )
| ~ spl0_13
| ~ spl0_74 ),
inference(resolution,[],[f622,f83]) ).
fof(f3920,plain,
( spl0_261
| ~ spl0_27
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f817,f811,f169,f3918]) ).
fof(f3918,plain,
( spl0_261
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ between(X0,X1,X2)
| ~ equidistant(X0,X2,X0,X3)
| ~ equidistant(X0,X1,X0,X4)
| ~ between(X1,extension(X5,X0,X6,X7),X2)
| equidistant(X6,X7,continuous(X0,X1,X4,extension(X5,X0,X6,X7),X2,X3),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_261])]) ).
fof(f817,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ between(X0,X1,X2)
| ~ equidistant(X0,X2,X0,X3)
| ~ equidistant(X0,X1,X0,X4)
| ~ between(X1,extension(X5,X0,X6,X7),X2)
| equidistant(X6,X7,continuous(X0,X1,X4,extension(X5,X0,X6,X7),X2,X3),X0) )
| ~ spl0_27
| ~ spl0_89 ),
inference(resolution,[],[f812,f170]) ).
fof(f3916,plain,
( spl0_260
| ~ spl0_13
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f570,f560,f82,f3914]) ).
fof(f3914,plain,
( spl0_260
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ between(X0,extension(X1,X0,X2,X3),X4)
| extension(X1,X0,X2,X3) = X0
| ~ between(X2,X3,X5)
| ~ equidistant(extension(X1,X0,X2,X3),X4,X3,X5)
| equidistant(X4,extension(X1,X0,X2,X3),X5,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_260])]) ).
fof(f570,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(X0,extension(X1,X0,X2,X3),X4)
| extension(X1,X0,X2,X3) = X0
| ~ between(X2,X3,X5)
| ~ equidistant(extension(X1,X0,X2,X3),X4,X3,X5)
| equidistant(X4,extension(X1,X0,X2,X3),X5,X3) )
| ~ spl0_13
| ~ spl0_70 ),
inference(resolution,[],[f561,f83]) ).
fof(f3907,plain,
( spl0_259
| ~ spl0_29
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f928,f925,f186,f3905]) ).
fof(f928,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X0,extension(X3,X0,X0,X4),X1)
| ~ between(X5,X4,X2)
| inner_pasch(X4,continuous(X0,extension(X3,X0,X0,X4),X4,X1,X1,X2),X2,X4,X5) = X4 )
| ~ spl0_29
| ~ spl0_96 ),
inference(resolution,[],[f926,f187]) ).
fof(f3903,plain,
( spl0_258
| ~ spl0_58
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f2521,f2330,f454,f3900]) ).
fof(f3900,plain,
( spl0_258
<=> u = inner_pasch(u,v,w,u,u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_258])]) ).
fof(f454,plain,
( spl0_58
<=> ! [X0] :
( ~ between(X0,u,w)
| u = inner_pasch(u,v,w,u,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f2521,plain,
( u = inner_pasch(u,v,w,u,u)
| ~ spl0_58
| ~ spl0_198 ),
inference(resolution,[],[f2331,f455]) ).
fof(f455,plain,
( ! [X0] :
( ~ between(X0,u,w)
| u = inner_pasch(u,v,w,u,X0) )
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f454]) ).
fof(f3687,plain,
( spl0_257
| ~ spl0_9
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f881,f875,f65,f3685]) ).
fof(f3685,plain,
( spl0_257
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X5,X6)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X7)
| equidistant(X6,X5,X0,continuous(X0,X1,X2,X3,X4,X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_257])]) ).
fof(f881,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X5,X6)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X7)
| equidistant(X6,X5,X0,continuous(X0,X1,X2,X3,X4,X7)) )
| ~ spl0_9
| ~ spl0_93 ),
inference(resolution,[],[f876,f66]) ).
fof(f3683,plain,
( spl0_256
| ~ spl0_51
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f878,f875,f375,f3681]) ).
fof(f878,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X5,X5)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X6)
| equidistant(X7,X7,X0,continuous(X0,X1,X2,X3,X4,X6)) )
| ~ spl0_51
| ~ spl0_93 ),
inference(resolution,[],[f876,f376]) ).
fof(f3679,plain,
( spl0_255
| ~ spl0_29
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f855,f838,f186,f3677]) ).
fof(f3677,plain,
( spl0_255
<=> ! [X4,X0,X3,X2,X1] :
( inner_pasch(euclid1(X0,X1,X2,X3,X4),X4,euclid2(X0,X1,X2,X3,X4),euclid2(X0,X1,X2,X3,X4),X4) = X4
| ~ between(X1,X2,X3)
| ~ between(X0,X2,X4)
| X0 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_255])]) ).
fof(f855,plain,
( ! [X2,X3,X0,X1,X4] :
( inner_pasch(euclid1(X0,X1,X2,X3,X4),X4,euclid2(X0,X1,X2,X3,X4),euclid2(X0,X1,X2,X3,X4),X4) = X4
| ~ between(X1,X2,X3)
| ~ between(X0,X2,X4)
| X0 = X2 )
| ~ spl0_29
| ~ spl0_90 ),
inference(resolution,[],[f839,f187]) ).
fof(f3675,plain,
( spl0_254
| ~ spl0_27
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f787,f775,f169,f3673]) ).
fof(f3673,plain,
( spl0_254
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X5,X6)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X7)
| equidistant(X6,X5,continuous(X0,X1,X2,X3,X4,X7),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_254])]) ).
fof(f787,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X5,X6)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X7)
| equidistant(X6,X5,continuous(X0,X1,X2,X3,X4,X7),X0) )
| ~ spl0_27
| ~ spl0_87 ),
inference(resolution,[],[f776,f170]) ).
fof(f3671,plain,
( spl0_253
| ~ spl0_3
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f1328,f1307,f35,f3668]) ).
fof(f3668,plain,
( spl0_253
<=> v = inner_pasch(v,w,w,v,u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_253])]) ).
fof(f1328,plain,
( v = inner_pasch(v,w,w,v,u)
| ~ spl0_3
| ~ spl0_130 ),
inference(resolution,[],[f1308,f37]) ).
fof(f3666,plain,
( spl0_252
| ~ spl0_14
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f614,f606,f87,f3664]) ).
fof(f3664,plain,
( spl0_252
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ between(X0,X1,X2)
| ~ equidistant(X0,X2,X0,X3)
| ~ equidistant(X0,X1,X0,X4)
| ~ between(X1,X5,X2)
| ~ equidistant(X0,continuous(X0,X1,X4,X5,X2,X3),X6,X7)
| equidistant(X6,X7,X5,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_252])]) ).
fof(f614,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ between(X0,X1,X2)
| ~ equidistant(X0,X2,X0,X3)
| ~ equidistant(X0,X1,X0,X4)
| ~ between(X1,X5,X2)
| ~ equidistant(X0,continuous(X0,X1,X4,X5,X2,X3),X6,X7)
| equidistant(X6,X7,X5,X0) )
| ~ spl0_14
| ~ spl0_73 ),
inference(resolution,[],[f607,f88]) ).
fof(f3662,plain,
( spl0_251
| ~ spl0_41
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f441,f434,f281,f3660]) ).
fof(f441,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( equidistant(X0,continuous(X0,X1,X2,X3,X4,X5),X6,X6)
| ~ equidistant(X0,X4,X0,X5)
| ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X7,X7)
| ~ between(X0,X1,X4) )
| ~ spl0_41
| ~ spl0_55 ),
inference(resolution,[],[f435,f282]) ).
fof(f3396,plain,
( spl0_250
| ~ spl0_50
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f899,f875,f354,f3394]) ).
fof(f3394,plain,
( spl0_250
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,v,w1)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X5)
| equidistant(w,v,X0,continuous(X0,X1,X2,X3,X4,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_250])]) ).
fof(f354,plain,
( spl0_50
<=> equidistant(v,w1,w,v) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f899,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,v,w1)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X5)
| equidistant(w,v,X0,continuous(X0,X1,X2,X3,X4,X5)) )
| ~ spl0_50
| ~ spl0_93 ),
inference(resolution,[],[f876,f356]) ).
fof(f356,plain,
( equidistant(v,w1,w,v)
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f354]) ).
fof(f3392,plain,
( spl0_249
| ~ spl0_49
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f898,f875,f349,f3390]) ).
fof(f3390,plain,
( spl0_249
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,u,w1)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X5)
| equidistant(w,u,X0,continuous(X0,X1,X2,X3,X4,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_249])]) ).
fof(f349,plain,
( spl0_49
<=> equidistant(u,w1,w,u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f898,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,u,w1)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X5)
| equidistant(w,u,X0,continuous(X0,X1,X2,X3,X4,X5)) )
| ~ spl0_49
| ~ spl0_93 ),
inference(resolution,[],[f876,f351]) ).
fof(f351,plain,
( equidistant(u,w1,w,u)
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f349]) ).
fof(f3388,plain,
( spl0_248
| ~ spl0_8
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f897,f875,f60,f3386]) ).
fof(f3386,plain,
( spl0_248
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,v,w)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X5)
| equidistant(v,w1,X0,continuous(X0,X1,X2,X3,X4,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_248])]) ).
fof(f897,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,v,w)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X5)
| equidistant(v,w1,X0,continuous(X0,X1,X2,X3,X4,X5)) )
| ~ spl0_8
| ~ spl0_93 ),
inference(resolution,[],[f876,f62]) ).
fof(f3384,plain,
( spl0_247
| ~ spl0_7
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f896,f875,f55,f3382]) ).
fof(f3382,plain,
( spl0_247
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,u,w)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X5)
| equidistant(u,w1,X0,continuous(X0,X1,X2,X3,X4,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_247])]) ).
fof(f896,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,u,w)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X5)
| equidistant(u,w1,X0,continuous(X0,X1,X2,X3,X4,X5)) )
| ~ spl0_7
| ~ spl0_93 ),
inference(resolution,[],[f876,f57]) ).
fof(f3380,plain,
( spl0_246
| ~ spl0_46
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f895,f875,f327,f3378]) ).
fof(f3378,plain,
( spl0_246
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,w,v)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X5)
| equidistant(v,w1,X0,continuous(X0,X1,X2,X3,X4,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_246])]) ).
fof(f327,plain,
( spl0_46
<=> equidistant(w,v,v,w1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f895,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,w,v)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X5)
| equidistant(v,w1,X0,continuous(X0,X1,X2,X3,X4,X5)) )
| ~ spl0_46
| ~ spl0_93 ),
inference(resolution,[],[f876,f329]) ).
fof(f329,plain,
( equidistant(w,v,v,w1)
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f3376,plain,
( spl0_245
| ~ spl0_40
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f893,f875,f276,f3374]) ).
fof(f3374,plain,
( spl0_245
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,w,u)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X5)
| equidistant(u,w1,X0,continuous(X0,X1,X2,X3,X4,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_245])]) ).
fof(f276,plain,
( spl0_40
<=> equidistant(w,u,u,w1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f893,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,w,u)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X5)
| equidistant(u,w1,X0,continuous(X0,X1,X2,X3,X4,X5)) )
| ~ spl0_40
| ~ spl0_93 ),
inference(resolution,[],[f876,f278]) ).
fof(f278,plain,
( equidistant(w,u,u,w1)
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f3372,plain,
( spl0_244
| ~ spl0_27
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f761,f730,f169,f3370]) ).
fof(f3370,plain,
( spl0_244
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,v,w)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X5)
| equidistant(v,w1,continuous(X0,X1,X2,X3,X4,X5),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_244])]) ).
fof(f761,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,v,w)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X5)
| equidistant(v,w1,continuous(X0,X1,X2,X3,X4,X5),X0) )
| ~ spl0_27
| ~ spl0_85 ),
inference(resolution,[],[f731,f170]) ).
fof(f3368,plain,
( spl0_243
| ~ spl0_27
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f739,f726,f169,f3366]) ).
fof(f3366,plain,
( spl0_243
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,u,w)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X5)
| equidistant(u,w1,continuous(X0,X1,X2,X3,X4,X5),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_243])]) ).
fof(f739,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,u,w)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X5)
| equidistant(u,w1,continuous(X0,X1,X2,X3,X4,X5),X0) )
| ~ spl0_27
| ~ spl0_84 ),
inference(resolution,[],[f727,f170]) ).
fof(f3364,plain,
( spl0_242
| ~ spl0_27
| ~ spl0_101 ),
inference(avatar_split_clause,[],[f1193,f971,f169,f3361]) ).
fof(f971,plain,
( spl0_101
<=> equidistant(u,w,w1,u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f1193,plain,
( equidistant(w1,u,w,u)
| ~ spl0_27
| ~ spl0_101 ),
inference(resolution,[],[f973,f170]) ).
fof(f973,plain,
( equidistant(u,w,w1,u)
| ~ spl0_101 ),
inference(avatar_component_clause,[],[f971]) ).
fof(f3359,plain,
( spl0_241
| ~ spl0_14
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f601,f582,f87,f3357]) ).
fof(f3357,plain,
( spl0_241
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ between(v,X0,X1)
| ~ equidistant(v,X1,v,X2)
| ~ equidistant(v,X0,v,X3)
| ~ between(X0,w,X1)
| ~ equidistant(v,continuous(v,X0,X3,w,X1,X2),X4,X5)
| equidistant(X4,X5,v,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_241])]) ).
fof(f601,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(v,X0,X1)
| ~ equidistant(v,X1,v,X2)
| ~ equidistant(v,X0,v,X3)
| ~ between(X0,w,X1)
| ~ equidistant(v,continuous(v,X0,X3,w,X1,X2),X4,X5)
| equidistant(X4,X5,v,w1) )
| ~ spl0_14
| ~ spl0_72 ),
inference(resolution,[],[f583,f88]) ).
fof(f3355,plain,
( spl0_240
| ~ spl0_14
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f591,f578,f87,f3353]) ).
fof(f3353,plain,
( spl0_240
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ between(u,X0,X1)
| ~ equidistant(u,X1,u,X2)
| ~ equidistant(u,X0,u,X3)
| ~ between(X0,w,X1)
| ~ equidistant(u,continuous(u,X0,X3,w,X1,X2),X4,X5)
| equidistant(X4,X5,u,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_240])]) ).
fof(f591,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(u,X0,X1)
| ~ equidistant(u,X1,u,X2)
| ~ equidistant(u,X0,u,X3)
| ~ between(X0,w,X1)
| ~ equidistant(u,continuous(u,X0,X3,w,X1,X2),X4,X5)
| equidistant(X4,X5,u,w1) )
| ~ spl0_14
| ~ spl0_71 ),
inference(resolution,[],[f579,f88]) ).
fof(f3335,plain,
( spl0_239
| ~ spl0_16
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f484,f474,f99,f3333]) ).
fof(f484,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( inner_pasch(X0,X1,extension(X0,X1,X2,X3),inner_pasch(extension(X0,X1,X2,X3),X4,X5,X1,X6),X1) = X1
| ~ between(X6,X1,X5)
| ~ between(extension(X0,X1,X2,X3),X4,X5) )
| ~ spl0_16
| ~ spl0_61 ),
inference(resolution,[],[f475,f100]) ).
fof(f3331,plain,
( spl0_238
| ~ spl0_15
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f483,f474,f95,f3329]) ).
fof(f483,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( inner_pasch(X0,X1,extension(X0,X1,X2,X3),inner_pasch(X4,X1,X5,X6,extension(X0,X1,X2,X3)),X1) = X1
| ~ between(extension(X0,X1,X2,X3),X6,X5)
| ~ between(X4,X1,X5) )
| ~ spl0_15
| ~ spl0_61 ),
inference(resolution,[],[f475,f96]) ).
fof(f3307,plain,
( spl0_237
| ~ spl0_11
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f784,f775,f73,f3305]) ).
fof(f784,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4)
| ~ equidistant(X0,X3,X5,X5)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X6)
| continuous(X0,X1,X2,X3,X4,X6) = X0 )
| ~ spl0_11
| ~ spl0_87 ),
inference(resolution,[],[f776,f74]) ).
fof(f3295,plain,
( spl0_1
| ~ spl0_11
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f3112,f2147,f73,f25]) ).
fof(f2147,plain,
( spl0_180
<=> equidistant(w1,w,u,u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).
fof(f3112,plain,
( w = w1
| ~ spl0_11
| ~ spl0_180 ),
inference(resolution,[],[f2149,f74]) ).
fof(f2149,plain,
( equidistant(w1,w,u,u)
| ~ spl0_180 ),
inference(avatar_component_clause,[],[f2147]) ).
fof(f3215,plain,
( spl0_236
| ~ spl0_29
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f920,f907,f186,f3213]) ).
fof(f920,plain,
( ! [X2,X3,X0,X1,X4] :
( inner_pasch(X0,X1,X2,X3,X4) = inner_pasch(X3,inner_pasch(X0,X1,X2,X3,X4),X0,X0,inner_pasch(X0,X1,X2,X3,X4))
| ~ between(X4,X3,X2)
| ~ between(X0,X1,X2) )
| ~ spl0_29
| ~ spl0_95 ),
inference(resolution,[],[f908,f187]) ).
fof(f3211,plain,
( spl0_235
| ~ spl0_29
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f910,f903,f186,f3209]) ).
fof(f910,plain,
( ! [X2,X3,X0,X1,X4] :
( inner_pasch(X0,X1,X2,X3,X4) = inner_pasch(X1,inner_pasch(X0,X1,X2,X3,X4),X4,X4,inner_pasch(X0,X1,X2,X3,X4))
| ~ between(X4,X3,X2)
| ~ between(X0,X1,X2) )
| ~ spl0_29
| ~ spl0_94 ),
inference(resolution,[],[f904,f187]) ).
fof(f3207,plain,
( spl0_234
| ~ spl0_24
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f397,f379,f146,f3205]) ).
fof(f397,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(X0,X1,X2)
| ~ between(X3,X1,X4)
| X1 = X3
| ~ equidistant(X3,X5,X0,X5)
| ~ equidistant(X1,X4,X1,X2)
| ~ equidistant(X3,X1,X0,X1)
| equidistant(X4,X5,X2,X5) )
| ~ spl0_24
| ~ spl0_52 ),
inference(resolution,[],[f380,f147]) ).
fof(f3066,plain,
( spl0_185
| ~ spl0_229 ),
inference(avatar_contradiction_clause,[],[f3029]) ).
fof(f3029,plain,
( $false
| spl0_185
| ~ spl0_229 ),
inference(resolution,[],[f2930,f2176]) ).
fof(f2176,plain,
( ~ equidistant(w1,w,v,v)
| spl0_185 ),
inference(avatar_component_clause,[],[f2175]) ).
fof(f2175,plain,
( spl0_185
<=> equidistant(w1,w,v,v) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).
fof(f2930,plain,
( ! [X0] : equidistant(w1,w,X0,X0)
| ~ spl0_229 ),
inference(avatar_component_clause,[],[f2929]) ).
fof(f2929,plain,
( spl0_229
<=> ! [X0] : equidistant(w1,w,X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_229])]) ).
fof(f2996,plain,
( spl0_233
| ~ spl0_24
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f372,f354,f146,f2994]) ).
fof(f372,plain,
( ! [X2,X3,X0,X1] :
( ~ between(X0,w,X1)
| ~ between(X2,v,X3)
| v = X2
| ~ equidistant(X2,w1,X0,v)
| ~ equidistant(v,X3,w,X1)
| ~ equidistant(X2,v,X0,w)
| equidistant(X3,w1,X1,v) )
| ~ spl0_24
| ~ spl0_50 ),
inference(resolution,[],[f356,f147]) ).
fof(f2992,plain,
( spl0_232
| ~ spl0_24
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f368,f349,f146,f2990]) ).
fof(f368,plain,
( ! [X2,X3,X0,X1] :
( ~ between(X0,w,X1)
| ~ between(X2,u,X3)
| u = X2
| ~ equidistant(X2,w1,X0,u)
| ~ equidistant(u,X3,w,X1)
| ~ equidistant(X2,u,X0,w)
| equidistant(X3,w1,X1,u) )
| ~ spl0_24
| ~ spl0_49 ),
inference(resolution,[],[f351,f147]) ).
fof(f2988,plain,
( spl0_231
| ~ spl0_24
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f364,f327,f146,f2986]) ).
fof(f364,plain,
( ! [X2,X3,X0,X1] :
( ~ between(X0,v,X1)
| ~ between(X2,w,X3)
| w = X2
| ~ equidistant(X2,v,X0,w1)
| ~ equidistant(w,X3,v,X1)
| ~ equidistant(X2,w,X0,v)
| equidistant(X3,v,X1,w1) )
| ~ spl0_24
| ~ spl0_46 ),
inference(resolution,[],[f329,f147]) ).
fof(f2984,plain,
( spl0_230
| ~ spl0_24
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f360,f276,f146,f2982]) ).
fof(f360,plain,
( ! [X2,X3,X0,X1] :
( ~ between(X0,u,X1)
| ~ between(X2,w,X3)
| w = X2
| ~ equidistant(X2,u,X0,w1)
| ~ equidistant(w,X3,u,X1)
| ~ equidistant(X2,w,X0,u)
| equidistant(X3,u,X1,w1) )
| ~ spl0_24
| ~ spl0_40 ),
inference(resolution,[],[f278,f147]) ).
fof(f2931,plain,
( spl0_229
| ~ spl0_55
| ~ spl0_174 ),
inference(avatar_split_clause,[],[f2532,f2108,f434,f2929]) ).
fof(f2108,plain,
( spl0_174
<=> equidistant(u,u,w1,w) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).
fof(f2532,plain,
( ! [X0] : equidistant(w1,w,X0,X0)
| ~ spl0_55
| ~ spl0_174 ),
inference(resolution,[],[f2110,f435]) ).
fof(f2110,plain,
( equidistant(u,u,w1,w)
| ~ spl0_174 ),
inference(avatar_component_clause,[],[f2108]) ).
fof(f2868,plain,
( spl0_228
| ~ spl0_29
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f703,f671,f186,f2866]) ).
fof(f703,plain,
( ! [X2,X3,X0,X1,X4] :
( inner_pasch(X0,X1,euclid2(X0,X2,X3,X1,X4),euclid2(X0,X2,X3,X1,X4),X1) = X1
| ~ between(X2,X3,X1)
| ~ between(X0,X3,X4)
| X0 = X3 )
| ~ spl0_29
| ~ spl0_79 ),
inference(resolution,[],[f672,f187]) ).
fof(f2864,plain,
( spl0_227
| ~ spl0_29
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f683,f667,f186,f2862]) ).
fof(f683,plain,
( ! [X2,X3,X0,X1,X4] :
( inner_pasch(X0,X1,euclid1(X0,X1,X2,X3,X4),euclid1(X0,X1,X2,X3,X4),X1) = X1
| ~ between(X1,X2,X3)
| ~ between(X0,X2,X4)
| X0 = X2 )
| ~ spl0_29
| ~ spl0_78 ),
inference(resolution,[],[f668,f187]) ).
fof(f2860,plain,
( spl0_226
| ~ spl0_27
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f612,f606,f169,f2858]) ).
fof(f612,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(X0,X1,X2)
| ~ equidistant(X0,X2,X0,X3)
| ~ equidistant(X0,X1,X0,X4)
| ~ between(X1,X5,X2)
| equidistant(X5,X0,continuous(X0,X1,X4,X5,X2,X3),X0) )
| ~ spl0_27
| ~ spl0_73 ),
inference(resolution,[],[f607,f170]) ).
fof(f2856,plain,
( spl0_225
| ~ spl0_54
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f569,f560,f412,f2854]) ).
fof(f2854,plain,
( spl0_225
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ between(extension(X0,X1,X2,X3),X1,X4)
| extension(X0,X1,X2,X3) = X1
| ~ between(X2,X3,X5)
| ~ equidistant(X1,X4,X3,X5)
| equidistant(X4,X1,X5,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_225])]) ).
fof(f569,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(extension(X0,X1,X2,X3),X1,X4)
| extension(X0,X1,X2,X3) = X1
| ~ between(X2,X3,X5)
| ~ equidistant(X1,X4,X3,X5)
| equidistant(X4,X1,X5,X3) )
| ~ spl0_54
| ~ spl0_70 ),
inference(resolution,[],[f561,f413]) ).
fof(f2852,plain,
( spl0_224
| ~ spl0_12
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f548,f527,f77,f2850]) ).
fof(f548,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( inner_pasch(X0,inner_pasch(X1,X2,extension(X3,X0,X4,X5),X0,X3),X1,X0,X6) = X0
| ~ between(X6,X0,X1)
| ~ between(X1,X2,extension(X3,X0,X4,X5)) )
| ~ spl0_12
| ~ spl0_68 ),
inference(resolution,[],[f528,f78]) ).
fof(f2848,plain,
( spl0_223
| ~ spl0_12
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f531,f523,f77,f2846]) ).
fof(f531,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( inner_pasch(X0,inner_pasch(X1,X0,extension(X1,X0,X2,X3),X4,X5),X5,X0,X6) = X0
| ~ between(X5,X4,extension(X1,X0,X2,X3))
| ~ between(X6,X0,X5) )
| ~ spl0_12
| ~ spl0_67 ),
inference(resolution,[],[f524,f78]) ).
fof(f2833,plain,
( spl0_222
| ~ spl0_22
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f438,f434,f129,f2831]) ).
fof(f438,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( equidistant(X0,continuous(X0,X1,X2,X0,X3,X4),X5,X5)
| ~ between(X0,X1,X3)
| ~ equidistant(X0,X3,X0,X4)
| ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X0,X3) )
| ~ spl0_22
| ~ spl0_55 ),
inference(resolution,[],[f435,f130]) ).
fof(f2799,plain,
( spl0_221
| ~ spl0_27
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f599,f582,f169,f2797]) ).
fof(f599,plain,
( ! [X2,X3,X0,X1] :
( ~ between(v,X0,X1)
| ~ equidistant(v,X1,v,X2)
| ~ equidistant(v,X0,v,X3)
| ~ between(X0,w,X1)
| equidistant(v,w1,continuous(v,X0,X3,w,X1,X2),v) )
| ~ spl0_27
| ~ spl0_72 ),
inference(resolution,[],[f583,f170]) ).
fof(f2795,plain,
( spl0_220
| ~ spl0_27
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f589,f578,f169,f2793]) ).
fof(f589,plain,
( ! [X2,X3,X0,X1] :
( ~ between(u,X0,X1)
| ~ equidistant(u,X1,u,X2)
| ~ equidistant(u,X0,u,X3)
| ~ between(X0,w,X1)
| equidistant(u,w1,continuous(u,X0,X3,w,X1,X2),u) )
| ~ spl0_27
| ~ spl0_71 ),
inference(resolution,[],[f579,f170]) ).
fof(f2791,plain,
( spl0_219
| ~ spl0_13
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f509,f502,f82,f2789]) ).
fof(f509,plain,
( ! [X0,X1] :
( ~ between(w,X0,extension(X1,v,v,w1))
| ~ between(v,w,extension(X1,v,v,w1))
| w1 = continuous(v,w,w1,X0,extension(X1,v,v,w1),w1) )
| ~ spl0_13
| ~ spl0_65 ),
inference(resolution,[],[f503,f83]) ).
fof(f2787,plain,
( spl0_218
| ~ spl0_13
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f506,f498,f82,f2785]) ).
fof(f506,plain,
( ! [X0,X1] :
( ~ between(w,X0,extension(X1,u,u,w1))
| ~ between(u,w,extension(X1,u,u,w1))
| w1 = continuous(u,w,w1,X0,extension(X1,u,u,w1),w1) )
| ~ spl0_13
| ~ spl0_64 ),
inference(resolution,[],[f499,f83]) ).
fof(f2764,plain,
( spl0_217
| ~ spl0_11
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f609,f606,f73,f2762]) ).
fof(f609,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ between(X0,X1,X2)
| ~ equidistant(X0,X2,X0,X3)
| ~ equidistant(X0,X1,X0,X4)
| ~ between(X1,X0,X2)
| continuous(X0,X1,X4,X0,X2,X3) = X0 )
| ~ spl0_11
| ~ spl0_73 ),
inference(resolution,[],[f607,f74]) ).
fof(f2705,plain,
( spl0_216
| ~ spl0_29
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f802,f779,f186,f2703]) ).
fof(f802,plain,
( ! [X2,X3,X0,X1] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X0,extension(X3,X0,X0,X2),X1)
| continuous(X0,extension(X3,X0,X0,X2),X2,X1,X1,X2) = X2 )
| ~ spl0_29
| ~ spl0_88 ),
inference(resolution,[],[f780,f187]) ).
fof(f2584,plain,
( spl0_151
| spl0_215
| ~ spl0_7
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f573,f560,f55,f2582,f1522]) ).
fof(f2582,plain,
( spl0_215
<=> ! [X0,X1] :
( ~ between(u,w,X0)
| equidistant(X0,w,X1,w1)
| ~ equidistant(w,X0,w1,X1)
| ~ between(u,w1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_215])]) ).
fof(f573,plain,
( ! [X0,X1] :
( ~ between(u,w,X0)
| u = w
| ~ between(u,w1,X1)
| ~ equidistant(w,X0,w1,X1)
| equidistant(X0,w,X1,w1) )
| ~ spl0_7
| ~ spl0_70 ),
inference(resolution,[],[f561,f57]) ).
fof(f2519,plain,
( spl0_2
| ~ spl0_10
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f2397,f1887,f69,f30]) ).
fof(f1887,plain,
( spl0_168
<=> between(u,v,u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).
fof(f2397,plain,
( u = v
| ~ spl0_10
| ~ spl0_168 ),
inference(resolution,[],[f1889,f70]) ).
fof(f1889,plain,
( between(u,v,u)
| ~ spl0_168 ),
inference(avatar_component_clause,[],[f1887]) ).
fof(f2518,plain,
( spl0_214
| ~ spl0_12
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f782,f771,f77,f2516]) ).
fof(f771,plain,
( spl0_86
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ between(X0,X1,extension(X2,X1,X3,X4))
| X0 = X1
| ~ equidistant(X0,X3,X5,X1)
| ~ between(X5,X3,X4)
| ~ equidistant(X0,X1,X5,X3)
| equidistant(extension(X2,X1,X3,X4),X3,X4,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f782,plain,
( ! [X2,X3,X0,X1,X4] :
( X0 = X1
| ~ equidistant(X0,X2,X3,X1)
| ~ between(X3,X2,X4)
| ~ equidistant(X0,X1,X3,X2)
| equidistant(extension(X0,X1,X2,X4),X2,X4,X1) )
| ~ spl0_12
| ~ spl0_86 ),
inference(resolution,[],[f772,f78]) ).
fof(f772,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(X0,X1,extension(X2,X1,X3,X4))
| X0 = X1
| ~ equidistant(X0,X3,X5,X1)
| ~ between(X5,X3,X4)
| ~ equidistant(X0,X1,X5,X3)
| equidistant(extension(X2,X1,X3,X4),X3,X4,X1) )
| ~ spl0_86 ),
inference(avatar_component_clause,[],[f771]) ).
fof(f2514,plain,
( spl0_213
| ~ spl0_52
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f657,f652,f379,f2512]) ).
fof(f657,plain,
( ! [X2,X3,X0,X1] :
( ~ between(X0,X1,X2)
| ~ between(X0,X0,X2)
| ~ between(X3,X0,X2)
| inner_pasch(X0,continuous(X0,X0,X0,X1,X2,X2),X2,X0,X3) = X0 )
| ~ spl0_52
| ~ spl0_77 ),
inference(resolution,[],[f653,f380]) ).
fof(f2433,plain,
( spl0_212
| ~ spl0_151
| ~ spl0_206 ),
inference(avatar_split_clause,[],[f2381,f2377,f1522,f2431]) ).
fof(f2381,plain,
( ! [X2,X0,X1] :
( equidistant(extension(X0,v,v,X2),u,X2,w1)
| ~ equidistant(X0,u,X1,w1)
| v = X0
| ~ between(X1,v,X2)
| ~ equidistant(X0,v,X1,v) )
| ~ spl0_151
| ~ spl0_206 ),
inference(forward_demodulation,[],[f2380,f1524]) ).
fof(f1524,plain,
( u = w
| ~ spl0_151 ),
inference(avatar_component_clause,[],[f1522]) ).
fof(f2380,plain,
( ! [X2,X0,X1] :
( ~ equidistant(X0,u,X1,w1)
| v = X0
| ~ between(X1,v,X2)
| ~ equidistant(X0,v,X1,v)
| equidistant(extension(X0,v,v,X2),w,X2,w1) )
| ~ spl0_151
| ~ spl0_206 ),
inference(forward_demodulation,[],[f2378,f1524]) ).
fof(f2429,plain,
( spl0_211
| ~ spl0_151
| ~ spl0_205 ),
inference(avatar_split_clause,[],[f2375,f2371,f1522,f2427]) ).
fof(f2375,plain,
( ! [X2,X0,X1] :
( equidistant(extension(X0,u,u,X2),u,X2,w1)
| ~ equidistant(X0,u,X1,w1)
| u = X0
| ~ between(X1,u,X2)
| ~ equidistant(X0,u,X1,u) )
| ~ spl0_151
| ~ spl0_205 ),
inference(forward_demodulation,[],[f2374,f1524]) ).
fof(f2374,plain,
( ! [X2,X0,X1] :
( ~ equidistant(X0,u,X1,w1)
| u = X0
| ~ between(X1,u,X2)
| ~ equidistant(X0,u,X1,u)
| equidistant(extension(X0,u,u,X2),w,X2,w1) )
| ~ spl0_151
| ~ spl0_205 ),
inference(forward_demodulation,[],[f2372,f1524]) ).
fof(f2423,plain,
( spl0_210
| ~ spl0_151
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f2314,f2309,f1522,f2421]) ).
fof(f2314,plain,
( ! [X2,X0,X1] :
( w1 = inner_pasch(w1,continuous(v,u,w1,X0,X1,X1),X1,w1,X2)
| ~ between(v,u,X1)
| ~ between(u,X0,X1)
| ~ between(X2,w1,X1) )
| ~ spl0_151
| ~ spl0_195 ),
inference(forward_demodulation,[],[f2313,f1524]) ).
fof(f2313,plain,
( ! [X2,X0,X1] :
( ~ between(v,u,X1)
| ~ between(u,X0,X1)
| ~ between(X2,w1,X1)
| w1 = inner_pasch(w1,continuous(v,w,w1,X0,X1,X1),X1,w1,X2) )
| ~ spl0_151
| ~ spl0_195 ),
inference(forward_demodulation,[],[f2312,f1524]) ).
fof(f2312,plain,
( ! [X2,X0,X1] :
( ~ between(u,X0,X1)
| ~ between(v,w,X1)
| ~ between(X2,w1,X1)
| w1 = inner_pasch(w1,continuous(v,w,w1,X0,X1,X1),X1,w1,X2) )
| ~ spl0_151
| ~ spl0_195 ),
inference(forward_demodulation,[],[f2310,f1524]) ).
fof(f2419,plain,
( spl0_209
| ~ spl0_151
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f2278,f2207,f1522,f2417]) ).
fof(f2278,plain,
( ! [X2,X0,X1] :
( equidistant(X1,u,X1,w1)
| ~ equidistant(X0,u,X2,w1)
| ~ between(X0,u,X1)
| u = X0
| ~ between(X2,u,X1)
| ~ equidistant(X0,u,X2,u) )
| ~ spl0_151
| ~ spl0_188 ),
inference(forward_demodulation,[],[f2277,f1524]) ).
fof(f2277,plain,
( ! [X2,X0,X1] :
( ~ equidistant(X0,u,X2,w1)
| ~ between(X0,u,X1)
| u = X0
| ~ between(X2,u,X1)
| ~ equidistant(X0,u,X2,u)
| equidistant(X1,w,X1,w1) )
| ~ spl0_151
| ~ spl0_188 ),
inference(forward_demodulation,[],[f2208,f1524]) ).
fof(f2389,plain,
( spl0_208
| ~ spl0_151
| ~ spl0_189 ),
inference(avatar_split_clause,[],[f2276,f2220,f1522,f2387]) ).
fof(f2276,plain,
( ! [X2,X0,X1] :
( equidistant(X1,u,X1,w1)
| ~ equidistant(X0,u,X2,w1)
| ~ between(X0,v,X1)
| v = X0
| ~ between(X2,v,X1)
| ~ equidistant(X0,v,X2,v) )
| ~ spl0_151
| ~ spl0_189 ),
inference(forward_demodulation,[],[f2223,f1524]) ).
fof(f2223,plain,
( ! [X2,X0,X1] :
( ~ equidistant(X0,u,X2,w1)
| ~ between(X0,v,X1)
| v = X0
| ~ between(X2,v,X1)
| ~ equidistant(X0,v,X2,v)
| equidistant(X1,w,X1,w1) )
| ~ spl0_151
| ~ spl0_189 ),
inference(forward_demodulation,[],[f2221,f1524]) ).
fof(f2385,plain,
( spl0_207
| ~ spl0_151
| ~ spl0_190 ),
inference(avatar_split_clause,[],[f2275,f2228,f1522,f2383]) ).
fof(f2275,plain,
( ! [X2,X0,X1] :
( w1 = inner_pasch(w1,continuous(u,u,w1,X0,X1,X1),X1,w1,X2)
| ~ between(u,u,X1)
| ~ between(u,X0,X1)
| ~ between(X2,w1,X1) )
| ~ spl0_151
| ~ spl0_190 ),
inference(forward_demodulation,[],[f2274,f1524]) ).
fof(f2274,plain,
( ! [X2,X0,X1] :
( ~ between(u,u,X1)
| ~ between(u,X0,X1)
| ~ between(X2,w1,X1)
| w1 = inner_pasch(w1,continuous(u,w,w1,X0,X1,X1),X1,w1,X2) )
| ~ spl0_151
| ~ spl0_190 ),
inference(forward_demodulation,[],[f2231,f1524]) ).
fof(f2231,plain,
( ! [X2,X0,X1] :
( ~ between(u,X0,X1)
| ~ between(u,w,X1)
| ~ between(X2,w1,X1)
| w1 = inner_pasch(w1,continuous(u,w,w1,X0,X1,X1),X1,w1,X2) )
| ~ spl0_151
| ~ spl0_190 ),
inference(forward_demodulation,[],[f2229,f1524]) ).
fof(f2379,plain,
( spl0_206
| ~ spl0_12
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f735,f722,f77,f2377]) ).
fof(f722,plain,
( spl0_83
<=> ! [X0,X3,X2,X1] :
( ~ between(X0,v,extension(X1,v,v,X2))
| v = X0
| ~ equidistant(X0,w,X3,w1)
| ~ between(X3,v,X2)
| ~ equidistant(X0,v,X3,v)
| equidistant(extension(X1,v,v,X2),w,X2,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f735,plain,
( ! [X2,X0,X1] :
( v = X0
| ~ equidistant(X0,w,X1,w1)
| ~ between(X1,v,X2)
| ~ equidistant(X0,v,X1,v)
| equidistant(extension(X0,v,v,X2),w,X2,w1) )
| ~ spl0_12
| ~ spl0_83 ),
inference(resolution,[],[f723,f78]) ).
fof(f723,plain,
( ! [X2,X3,X0,X1] :
( ~ between(X0,v,extension(X1,v,v,X2))
| v = X0
| ~ equidistant(X0,w,X3,w1)
| ~ between(X3,v,X2)
| ~ equidistant(X0,v,X3,v)
| equidistant(extension(X1,v,v,X2),w,X2,w1) )
| ~ spl0_83 ),
inference(avatar_component_clause,[],[f722]) ).
fof(f2373,plain,
( spl0_205
| ~ spl0_12
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f733,f718,f77,f2371]) ).
fof(f718,plain,
( spl0_82
<=> ! [X0,X3,X2,X1] :
( ~ between(X0,u,extension(X1,u,u,X2))
| u = X0
| ~ equidistant(X0,w,X3,w1)
| ~ between(X3,u,X2)
| ~ equidistant(X0,u,X3,u)
| equidistant(extension(X1,u,u,X2),w,X2,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f733,plain,
( ! [X2,X0,X1] :
( u = X0
| ~ equidistant(X0,w,X1,w1)
| ~ between(X1,u,X2)
| ~ equidistant(X0,u,X1,u)
| equidistant(extension(X0,u,u,X2),w,X2,w1) )
| ~ spl0_12
| ~ spl0_82 ),
inference(resolution,[],[f719,f78]) ).
fof(f719,plain,
( ! [X2,X3,X0,X1] :
( ~ between(X0,u,extension(X1,u,u,X2))
| u = X0
| ~ equidistant(X0,w,X3,w1)
| ~ between(X3,u,X2)
| ~ equidistant(X0,u,X3,u)
| equidistant(extension(X1,u,u,X2),w,X2,w1) )
| ~ spl0_82 ),
inference(avatar_component_clause,[],[f718]) ).
fof(f2369,plain,
( ~ spl0_204
| ~ spl0_151
| spl0_202 ),
inference(avatar_split_clause,[],[f2364,f2357,f1522,f2366]) ).
fof(f2366,plain,
( spl0_204
<=> between(v,v,u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_204])]) ).
fof(f2357,plain,
( spl0_202
<=> between(v,v,w) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_202])]) ).
fof(f2364,plain,
( ~ between(v,v,u)
| ~ spl0_151
| spl0_202 ),
inference(forward_demodulation,[],[f2359,f1524]) ).
fof(f2359,plain,
( ~ between(v,v,w)
| spl0_202 ),
inference(avatar_component_clause,[],[f2357]) ).
fof(f2363,plain,
( ~ spl0_202
| spl0_203
| ~ spl0_8
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f665,f652,f60,f2361,f2357]) ).
fof(f2361,plain,
( spl0_203
<=> ! [X0,X1] :
( ~ between(v,X0,w)
| v = inner_pasch(v,continuous(v,v,v,X0,w,w1),w1,v,X1)
| ~ between(X1,v,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_203])]) ).
fof(f665,plain,
( ! [X0,X1] :
( ~ between(v,X0,w)
| ~ between(v,v,w)
| ~ between(X1,v,w1)
| v = inner_pasch(v,continuous(v,v,v,X0,w,w1),w1,v,X1) )
| ~ spl0_8
| ~ spl0_77 ),
inference(resolution,[],[f653,f62]) ).
fof(f2351,plain,
( spl0_201
| ~ spl0_151
| ~ spl0_199 ),
inference(avatar_split_clause,[],[f2346,f2334,f1522,f2349]) ).
fof(f2346,plain,
( ! [X0,X1] :
( u = inner_pasch(u,continuous(u,u,u,X0,u,w1),w1,u,X1)
| ~ between(u,X0,u)
| ~ between(X1,u,w1) )
| ~ spl0_151
| ~ spl0_199 ),
inference(forward_demodulation,[],[f2345,f1524]) ).
fof(f2345,plain,
( ! [X0,X1] :
( ~ between(u,X0,u)
| u = inner_pasch(u,continuous(u,u,u,X0,w,w1),w1,u,X1)
| ~ between(X1,u,w1) )
| ~ spl0_151
| ~ spl0_199 ),
inference(forward_demodulation,[],[f2335,f1524]) ).
fof(f2344,plain,
( ~ spl0_29
| spl0_200 ),
inference(avatar_contradiction_clause,[],[f2343]) ).
fof(f2343,plain,
( $false
| ~ spl0_29
| spl0_200 ),
inference(resolution,[],[f2341,f187]) ).
fof(f2341,plain,
( ~ between(u,u,u)
| spl0_200 ),
inference(avatar_component_clause,[],[f2339]) ).
fof(f2339,plain,
( spl0_200
<=> between(u,u,u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_200])]) ).
fof(f2342,plain,
( ~ spl0_200
| ~ spl0_151
| spl0_198 ),
inference(avatar_split_clause,[],[f2337,f2330,f1522,f2339]) ).
fof(f2337,plain,
( ~ between(u,u,u)
| ~ spl0_151
| spl0_198 ),
inference(forward_demodulation,[],[f2332,f1524]) ).
fof(f2332,plain,
( ~ between(u,u,w)
| spl0_198 ),
inference(avatar_component_clause,[],[f2330]) ).
fof(f2336,plain,
( ~ spl0_198
| spl0_199
| ~ spl0_7
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f664,f652,f55,f2334,f2330]) ).
fof(f664,plain,
( ! [X0,X1] :
( ~ between(u,X0,w)
| ~ between(u,u,w)
| ~ between(X1,u,w1)
| u = inner_pasch(u,continuous(u,u,u,X0,w,w1),w1,u,X1) )
| ~ spl0_7
| ~ spl0_77 ),
inference(resolution,[],[f653,f57]) ).
fof(f2324,plain,
( spl0_197
| ~ spl0_151
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f2320,f2316,f1522,f2322]) ).
fof(f2316,plain,
( spl0_196
<=> ! [X0,X1] :
( ~ between(w,X0,w)
| w1 = inner_pasch(w1,continuous(v,w,w1,X0,w,w1),w1,w1,X1)
| ~ between(X1,w1,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_196])]) ).
fof(f2320,plain,
( ! [X0,X1] :
( w1 = inner_pasch(w1,continuous(v,u,w1,X0,u,w1),w1,w1,X1)
| ~ between(u,X0,u)
| ~ between(X1,w1,w1) )
| ~ spl0_151
| ~ spl0_196 ),
inference(forward_demodulation,[],[f2319,f1524]) ).
fof(f2319,plain,
( ! [X0,X1] :
( ~ between(u,X0,u)
| w1 = inner_pasch(w1,continuous(v,w,w1,X0,w,w1),w1,w1,X1)
| ~ between(X1,w1,w1) )
| ~ spl0_151
| ~ spl0_196 ),
inference(forward_demodulation,[],[f2317,f1524]) ).
fof(f2317,plain,
( ! [X0,X1] :
( ~ between(w,X0,w)
| w1 = inner_pasch(w1,continuous(v,w,w1,X0,w,w1),w1,w1,X1)
| ~ between(X1,w1,w1) )
| ~ spl0_196 ),
inference(avatar_component_clause,[],[f2316]) ).
fof(f2318,plain,
( ~ spl0_143
| spl0_196
| ~ spl0_8
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f650,f630,f60,f2316,f1475]) ).
fof(f650,plain,
( ! [X0,X1] :
( ~ between(w,X0,w)
| ~ between(v,w,w)
| ~ between(X1,w1,w1)
| w1 = inner_pasch(w1,continuous(v,w,w1,X0,w,w1),w1,w1,X1) )
| ~ spl0_8
| ~ spl0_76 ),
inference(resolution,[],[f631,f62]) ).
fof(f2311,plain,
( spl0_195
| ~ spl0_52
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f644,f630,f379,f2309]) ).
fof(f644,plain,
( ! [X2,X0,X1] :
( ~ between(w,X0,X1)
| ~ between(v,w,X1)
| ~ between(X2,w1,X1)
| w1 = inner_pasch(w1,continuous(v,w,w1,X0,X1,X1),X1,w1,X2) )
| ~ spl0_52
| ~ spl0_76 ),
inference(resolution,[],[f631,f380]) ).
fof(f2303,plain,
( spl0_194
| ~ spl0_151
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f2273,f2238,f1522,f2301]) ).
fof(f2238,plain,
( spl0_191
<=> ! [X0,X1] :
( ~ between(w,X0,w)
| w1 = inner_pasch(w1,continuous(u,w,w1,X0,w,w1),w1,w1,X1)
| ~ between(X1,w1,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_191])]) ).
fof(f2273,plain,
( ! [X0,X1] :
( w1 = inner_pasch(w1,continuous(u,u,w1,X0,u,w1),w1,w1,X1)
| ~ between(u,X0,u)
| ~ between(X1,w1,w1) )
| ~ spl0_151
| ~ spl0_191 ),
inference(forward_demodulation,[],[f2241,f1524]) ).
fof(f2241,plain,
( ! [X0,X1] :
( ~ between(u,X0,u)
| w1 = inner_pasch(w1,continuous(u,w,w1,X0,w,w1),w1,w1,X1)
| ~ between(X1,w1,w1) )
| ~ spl0_151
| ~ spl0_191 ),
inference(forward_demodulation,[],[f2239,f1524]) ).
fof(f2239,plain,
( ! [X0,X1] :
( ~ between(w,X0,w)
| w1 = inner_pasch(w1,continuous(u,w,w1,X0,w,w1),w1,w1,X1)
| ~ between(X1,w1,w1) )
| ~ spl0_191 ),
inference(avatar_component_clause,[],[f2238]) ).
fof(f2292,plain,
( spl0_193
| ~ spl0_151
| ~ spl0_186 ),
inference(avatar_split_clause,[],[f2287,f2179,f1522,f2290]) ).
fof(f2287,plain,
( ! [X0,X1] :
( ~ equidistant(X0,u,X1,v)
| ~ between(X1,u,v)
| ~ equidistant(X0,v,X1,u)
| ~ between(X0,v,w1)
| v = X0 )
| ~ spl0_151
| ~ spl0_186 ),
inference(forward_demodulation,[],[f2286,f1524]) ).
fof(f2286,plain,
( ! [X0,X1] :
( ~ between(X1,u,v)
| ~ equidistant(X0,v,X1,u)
| ~ between(X0,v,w1)
| ~ equidistant(X0,w,X1,v)
| v = X0 )
| ~ spl0_151
| ~ spl0_186 ),
inference(forward_demodulation,[],[f2285,f1524]) ).
fof(f2285,plain,
( ! [X0,X1] :
( ~ equidistant(X0,v,X1,u)
| ~ between(X0,v,w1)
| ~ between(X1,w,v)
| ~ equidistant(X0,w,X1,v)
| v = X0 )
| ~ spl0_151
| ~ spl0_186 ),
inference(forward_demodulation,[],[f2180,f1524]) ).
fof(f2268,plain,
( spl0_156
| ~ spl0_11
| ~ spl0_187 ),
inference(avatar_split_clause,[],[f2189,f2184,f73,f1680]) ).
fof(f2184,plain,
( spl0_187
<=> equidistant(w1,u,v,v) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).
fof(f2189,plain,
( u = w1
| ~ spl0_11
| ~ spl0_187 ),
inference(resolution,[],[f2186,f74]) ).
fof(f2186,plain,
( equidistant(w1,u,v,v)
| ~ spl0_187 ),
inference(avatar_component_clause,[],[f2184]) ).
fof(f2248,plain,
( spl0_192
| ~ spl0_11
| ~ spl0_151
| ~ spl0_187
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f2244,f2238,f2184,f1522,f73,f2246]) ).
fof(f2244,plain,
( ! [X0,X1] :
( w1 = inner_pasch(w1,continuous(w1,w1,w1,X0,w1,w1),w1,w1,X1)
| ~ between(w1,X0,w1)
| ~ between(X1,w1,w1) )
| ~ spl0_11
| ~ spl0_151
| ~ spl0_187
| ~ spl0_191 ),
inference(forward_demodulation,[],[f2243,f2189]) ).
fof(f2243,plain,
( ! [X0,X1] :
( w1 = inner_pasch(w1,continuous(u,u,w1,X0,u,w1),w1,w1,X1)
| ~ between(w1,X0,w1)
| ~ between(X1,w1,w1) )
| ~ spl0_11
| ~ spl0_151
| ~ spl0_187
| ~ spl0_191 ),
inference(forward_demodulation,[],[f2242,f1524]) ).
fof(f2242,plain,
( ! [X0,X1] :
( ~ between(w1,X0,w1)
| w1 = inner_pasch(w1,continuous(u,w,w1,X0,w,w1),w1,w1,X1)
| ~ between(X1,w1,w1) )
| ~ spl0_11
| ~ spl0_151
| ~ spl0_187
| ~ spl0_191 ),
inference(forward_demodulation,[],[f2241,f2189]) ).
fof(f2240,plain,
( ~ spl0_139
| spl0_191
| ~ spl0_7
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f641,f621,f55,f2238,f1446]) ).
fof(f1446,plain,
( spl0_139
<=> between(u,w,w) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).
fof(f641,plain,
( ! [X0,X1] :
( ~ between(w,X0,w)
| ~ between(u,w,w)
| ~ between(X1,w1,w1)
| w1 = inner_pasch(w1,continuous(u,w,w1,X0,w,w1),w1,w1,X1) )
| ~ spl0_7
| ~ spl0_74 ),
inference(resolution,[],[f622,f57]) ).
fof(f2230,plain,
( spl0_190
| ~ spl0_52
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f635,f621,f379,f2228]) ).
fof(f635,plain,
( ! [X2,X0,X1] :
( ~ between(w,X0,X1)
| ~ between(u,w,X1)
| ~ between(X2,w1,X1)
| w1 = inner_pasch(w1,continuous(u,w,w1,X0,X1,X1),X1,w1,X2) )
| ~ spl0_52
| ~ spl0_74 ),
inference(resolution,[],[f622,f380]) ).
fof(f2222,plain,
( spl0_189
| ~ spl0_38
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f405,f379,f252,f2220]) ).
fof(f405,plain,
( ! [X2,X0,X1] :
( ~ between(X0,v,X1)
| v = X0
| ~ equidistant(X0,w,X2,w1)
| ~ between(X2,v,X1)
| ~ equidistant(X0,v,X2,v)
| equidistant(X1,w,X1,w1) )
| ~ spl0_38
| ~ spl0_52 ),
inference(resolution,[],[f380,f253]) ).
fof(f2209,plain,
( spl0_188
| ~ spl0_37
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f403,f379,f248,f2207]) ).
fof(f403,plain,
( ! [X2,X0,X1] :
( ~ between(X0,u,X1)
| u = X0
| ~ equidistant(X0,w,X2,w1)
| ~ between(X2,u,X1)
| ~ equidistant(X0,u,X2,u)
| equidistant(X1,w,X1,w1) )
| ~ spl0_37
| ~ spl0_52 ),
inference(resolution,[],[f380,f249]) ).
fof(f2187,plain,
( spl0_187
| ~ spl0_151
| ~ spl0_185 ),
inference(avatar_split_clause,[],[f2182,f2175,f1522,f2184]) ).
fof(f2182,plain,
( equidistant(w1,u,v,v)
| ~ spl0_151
| ~ spl0_185 ),
inference(forward_demodulation,[],[f2177,f1524]) ).
fof(f2177,plain,
( equidistant(w1,w,v,v)
| ~ spl0_185 ),
inference(avatar_component_clause,[],[f2175]) ).
fof(f2181,plain,
( spl0_185
| spl0_186
| ~ spl0_39
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f370,f354,f264,f2179,f2175]) ).
fof(f370,plain,
( ! [X0,X1] :
( ~ between(X0,v,w1)
| v = X0
| ~ equidistant(X0,w,X1,v)
| ~ between(X1,w,v)
| ~ equidistant(X0,v,X1,w)
| equidistant(w1,w,v,v) )
| ~ spl0_39
| ~ spl0_50 ),
inference(resolution,[],[f356,f265]) ).
fof(f2172,plain,
( spl0_184
| ~ spl0_151
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f2157,f2151,f1522,f2170]) ).
fof(f2170,plain,
( spl0_184
<=> ! [X0,X1] :
( ~ equidistant(X0,u,X1,u)
| ~ between(X1,u,u)
| ~ between(X0,u,w1)
| u = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).
fof(f2157,plain,
( ! [X0,X1] :
( ~ equidistant(X0,u,X1,u)
| ~ between(X1,u,u)
| ~ between(X0,u,w1)
| u = X0 )
| ~ spl0_151
| ~ spl0_181 ),
inference(duplicate_literal_removal,[],[f2156]) ).
fof(f2156,plain,
( ! [X0,X1] :
( ~ equidistant(X0,u,X1,u)
| ~ between(X1,u,u)
| ~ equidistant(X0,u,X1,u)
| ~ between(X0,u,w1)
| u = X0 )
| ~ spl0_151
| ~ spl0_181 ),
inference(forward_demodulation,[],[f2155,f1524]) ).
fof(f2155,plain,
( ! [X0,X1] :
( ~ between(X1,u,u)
| ~ equidistant(X0,u,X1,u)
| ~ between(X0,u,w1)
| ~ equidistant(X0,w,X1,u)
| u = X0 )
| ~ spl0_151
| ~ spl0_181 ),
inference(forward_demodulation,[],[f2154,f1524]) ).
fof(f2154,plain,
( ! [X0,X1] :
( ~ equidistant(X0,u,X1,u)
| ~ between(X0,u,w1)
| ~ between(X1,w,u)
| ~ equidistant(X0,w,X1,u)
| u = X0 )
| ~ spl0_151
| ~ spl0_181 ),
inference(forward_demodulation,[],[f2152,f1524]) ).
fof(f2168,plain,
( ~ spl0_183
| spl0_141
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f1566,f1522,f1467,f2165]) ).
fof(f2165,plain,
( spl0_183
<=> between(v,u,w1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).
fof(f1467,plain,
( spl0_141
<=> between(v,w,w1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).
fof(f1566,plain,
( ~ between(v,u,w1)
| spl0_141
| ~ spl0_151 ),
inference(superposition,[],[f1469,f1524]) ).
fof(f1469,plain,
( ~ between(v,w,w1)
| spl0_141 ),
inference(avatar_component_clause,[],[f1467]) ).
fof(f2163,plain,
( ~ spl0_182
| ~ spl0_151
| spl0_180 ),
inference(avatar_split_clause,[],[f2158,f2147,f1522,f2160]) ).
fof(f2160,plain,
( spl0_182
<=> equidistant(w1,u,u,u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).
fof(f2158,plain,
( ~ equidistant(w1,u,u,u)
| ~ spl0_151
| spl0_180 ),
inference(forward_demodulation,[],[f2148,f1524]) ).
fof(f2148,plain,
( ~ equidistant(w1,w,u,u)
| spl0_180 ),
inference(avatar_component_clause,[],[f2147]) ).
fof(f2153,plain,
( spl0_180
| spl0_181
| ~ spl0_39
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f366,f349,f264,f2151,f2147]) ).
fof(f366,plain,
( ! [X0,X1] :
( ~ between(X0,u,w1)
| u = X0
| ~ equidistant(X0,w,X1,u)
| ~ between(X1,w,u)
| ~ equidistant(X0,u,X1,w)
| equidistant(w1,w,u,u) )
| ~ spl0_39
| ~ spl0_49 ),
inference(resolution,[],[f351,f265]) ).
fof(f2138,plain,
( spl0_179
| ~ spl0_151
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f2133,f2121,f1522,f2136]) ).
fof(f2133,plain,
( ! [X0,X1] :
( u = X0
| ~ equidistant(X0,v,X1,u)
| ~ equidistant(X0,u,X1,v)
| ~ between(X0,u,v)
| ~ between(X1,v,w1) )
| ~ spl0_151
| ~ spl0_177 ),
inference(forward_demodulation,[],[f2132,f1524]) ).
fof(f2132,plain,
( ! [X0,X1] :
( ~ equidistant(X0,v,X1,u)
| ~ equidistant(X0,u,X1,v)
| ~ between(X0,u,v)
| ~ between(X1,v,w1)
| w = X0 )
| ~ spl0_151
| ~ spl0_177 ),
inference(forward_demodulation,[],[f2131,f1524]) ).
fof(f2131,plain,
( ! [X0,X1] :
( ~ equidistant(X0,u,X1,v)
| ~ between(X0,u,v)
| ~ between(X1,v,w1)
| ~ equidistant(X0,v,X1,w)
| w = X0 )
| ~ spl0_151
| ~ spl0_177 ),
inference(forward_demodulation,[],[f2130,f1524]) ).
fof(f2130,plain,
( ! [X0,X1] :
( ~ between(X0,u,v)
| ~ equidistant(X0,w,X1,v)
| ~ between(X1,v,w1)
| ~ equidistant(X0,v,X1,w)
| w = X0 )
| ~ spl0_151
| ~ spl0_177 ),
inference(forward_demodulation,[],[f2122,f1524]) ).
fof(f2129,plain,
( spl0_178
| ~ spl0_151
| ~ spl0_176 ),
inference(avatar_split_clause,[],[f2124,f2117,f1522,f2126]) ).
fof(f2126,plain,
( spl0_178
<=> equidistant(v,v,w1,u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).
fof(f2117,plain,
( spl0_176
<=> equidistant(v,v,w1,w) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).
fof(f2124,plain,
( equidistant(v,v,w1,u)
| ~ spl0_151
| ~ spl0_176 ),
inference(forward_demodulation,[],[f2119,f1524]) ).
fof(f2119,plain,
( equidistant(v,v,w1,w)
| ~ spl0_176 ),
inference(avatar_component_clause,[],[f2117]) ).
fof(f2123,plain,
( spl0_176
| spl0_177
| ~ spl0_39
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f362,f327,f264,f2121,f2117]) ).
fof(f362,plain,
( ! [X0,X1] :
( ~ between(X0,w,v)
| w = X0
| ~ equidistant(X0,v,X1,w)
| ~ between(X1,v,w1)
| ~ equidistant(X0,w,X1,v)
| equidistant(v,v,w1,w) )
| ~ spl0_39
| ~ spl0_46 ),
inference(resolution,[],[f329,f265]) ).
fof(f2114,plain,
( spl0_174
| spl0_175
| ~ spl0_39
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f358,f276,f264,f2112,f2108]) ).
fof(f358,plain,
( ! [X0,X1] :
( ~ between(X0,w,u)
| w = X0
| ~ equidistant(X0,u,X1,w)
| ~ between(X1,u,w1)
| ~ equidistant(X0,w,X1,u)
| equidistant(u,u,w1,w) )
| ~ spl0_39
| ~ spl0_40 ),
inference(resolution,[],[f278,f265]) ).
fof(f2101,plain,
( ~ spl0_173
| spl0_137
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f1564,f1522,f1438,f2098]) ).
fof(f2098,plain,
( spl0_173
<=> between(u,u,w1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).
fof(f1438,plain,
( spl0_137
<=> between(u,w,w1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f1564,plain,
( ~ between(u,u,w1)
| spl0_137
| ~ spl0_151 ),
inference(superposition,[],[f1440,f1524]) ).
fof(f1440,plain,
( ~ between(u,w,w1)
| spl0_137 ),
inference(avatar_component_clause,[],[f1438]) ).
fof(f2096,plain,
( spl0_172
| ~ spl0_53
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f568,f560,f408,f2094]) ).
fof(f568,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(X0,X1,X2)
| X0 = X1
| ~ between(extension(X3,X4,X0,X1),X4,X5)
| ~ equidistant(X1,X2,X4,X5)
| equidistant(X2,X1,X5,X4) )
| ~ spl0_53
| ~ spl0_70 ),
inference(resolution,[],[f561,f409]) ).
fof(f2042,plain,
( spl0_171
| ~ spl0_18
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f710,f671,f109,f2040]) ).
fof(f710,plain,
( ! [X2,X3,X0,X1] :
( inner_pasch(X0,X0,euclid2(X0,X1,X2,X0,X3),X0,X0) = X0
| ~ between(X1,X2,X0)
| ~ between(X0,X2,X3)
| X0 = X2 )
| ~ spl0_18
| ~ spl0_79 ),
inference(duplicate_literal_removal,[],[f702]) ).
fof(f702,plain,
( ! [X2,X3,X0,X1] :
( inner_pasch(X0,X0,euclid2(X0,X1,X2,X0,X3),X0,X0) = X0
| ~ between(X1,X2,X0)
| ~ between(X0,X2,X3)
| X0 = X2
| ~ between(X1,X2,X0)
| ~ between(X0,X2,X3)
| X0 = X2 )
| ~ spl0_18
| ~ spl0_79 ),
inference(resolution,[],[f672,f110]) ).
fof(f2038,plain,
( spl0_170
| ~ spl0_17
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f690,f667,f105,f2036]) ).
fof(f690,plain,
( ! [X2,X3,X0,X1] :
( inner_pasch(X0,X0,euclid1(X0,X0,X1,X2,X3),X0,X0) = X0
| ~ between(X0,X1,X2)
| ~ between(X0,X1,X3)
| X0 = X1 )
| ~ spl0_17
| ~ spl0_78 ),
inference(duplicate_literal_removal,[],[f682]) ).
fof(f682,plain,
( ! [X2,X3,X0,X1] :
( inner_pasch(X0,X0,euclid1(X0,X0,X1,X2,X3),X0,X0) = X0
| ~ between(X0,X1,X2)
| ~ between(X0,X1,X3)
| X0 = X1
| ~ between(X0,X1,X2)
| ~ between(X0,X1,X3)
| X0 = X1 )
| ~ spl0_17
| ~ spl0_78 ),
inference(resolution,[],[f668,f106]) ).
fof(f1997,plain,
( spl0_169
| ~ spl0_21
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f400,f379,f121,f1995]) ).
fof(f400,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ between(X0,X1,X2)
| ~ equidistant(X0,X2,X0,X3)
| ~ between(X1,X4,X2)
| between(X1,continuous(X0,X1,X1,X4,X2,X3),X3) )
| ~ spl0_21
| ~ spl0_52 ),
inference(resolution,[],[f380,f122]) ).
fof(f1890,plain,
( spl0_168
| ~ spl0_3
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f1530,f1522,f35,f1887]) ).
fof(f1530,plain,
( between(u,v,u)
| ~ spl0_3
| ~ spl0_151 ),
inference(superposition,[],[f37,f1524]) ).
fof(f1862,plain,
( spl0_167
| ~ spl0_9
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f566,f560,f65,f1860]) ).
fof(f1860,plain,
( spl0_167
<=> ! [X0,X3,X2,X1] :
( ~ between(X0,X1,X2)
| X0 = X1
| ~ between(X1,X0,X3)
| ~ equidistant(X1,X2,X0,X3)
| equidistant(X2,X1,X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).
fof(f566,plain,
( ! [X2,X3,X0,X1] :
( ~ between(X0,X1,X2)
| X0 = X1
| ~ between(X1,X0,X3)
| ~ equidistant(X1,X2,X0,X3)
| equidistant(X2,X1,X3,X0) )
| ~ spl0_9
| ~ spl0_70 ),
inference(resolution,[],[f561,f66]) ).
fof(f1858,plain,
( spl0_166
| ~ spl0_52
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f565,f560,f379,f1856]) ).
fof(f1856,plain,
( spl0_166
<=> ! [X0,X3,X2,X1] :
( ~ between(X0,X1,X2)
| X0 = X1
| ~ between(X0,X1,X3)
| ~ equidistant(X1,X2,X1,X3)
| equidistant(X2,X1,X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).
fof(f565,plain,
( ! [X2,X3,X0,X1] :
( ~ between(X0,X1,X2)
| X0 = X1
| ~ between(X0,X1,X3)
| ~ equidistant(X1,X2,X1,X3)
| equidistant(X2,X1,X3,X1) )
| ~ spl0_52
| ~ spl0_70 ),
inference(resolution,[],[f561,f380]) ).
fof(f1854,plain,
( spl0_165
| ~ spl0_29
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f547,f527,f186,f1852]) ).
fof(f547,plain,
( ! [X2,X3,X0,X1,X4] :
( inner_pasch(X0,inner_pasch(X1,X2,X0,X0,X3),X1,X0,X4) = X0
| ~ between(X4,X0,X1)
| ~ between(X1,X2,X0) )
| ~ spl0_29
| ~ spl0_68 ),
inference(resolution,[],[f528,f187]) ).
fof(f1850,plain,
( spl0_164
| ~ spl0_29
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f530,f523,f186,f1848]) ).
fof(f530,plain,
( ! [X2,X3,X0,X1,X4] :
( inner_pasch(X0,inner_pasch(X1,X0,X0,X2,X3),X3,X0,X4) = X0
| ~ between(X3,X2,X0)
| ~ between(X4,X0,X3) )
| ~ spl0_29
| ~ spl0_67 ),
inference(resolution,[],[f524,f187]) ).
fof(f1747,plain,
( spl0_163
| ~ spl0_151
| ~ spl0_162 ),
inference(avatar_split_clause,[],[f1743,f1740,f1522,f1745]) ).
fof(f1745,plain,
( spl0_163
<=> ! [X0,X1] :
( ~ between(u,v,X1)
| ~ between(v,w1,X0)
| equidistant(X0,w1,X1,v)
| ~ equidistant(w1,X0,v,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).
fof(f1740,plain,
( spl0_162
<=> ! [X0,X1] :
( ~ between(v,w1,X0)
| equidistant(X0,w1,X1,v)
| ~ equidistant(w1,X0,v,X1)
| ~ between(w,v,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).
fof(f1743,plain,
( ! [X0,X1] :
( ~ between(u,v,X1)
| ~ between(v,w1,X0)
| equidistant(X0,w1,X1,v)
| ~ equidistant(w1,X0,v,X1) )
| ~ spl0_151
| ~ spl0_162 ),
inference(forward_demodulation,[],[f1741,f1524]) ).
fof(f1741,plain,
( ! [X0,X1] :
( ~ equidistant(w1,X0,v,X1)
| equidistant(X0,w1,X1,v)
| ~ between(v,w1,X0)
| ~ between(w,v,X1) )
| ~ spl0_162 ),
inference(avatar_component_clause,[],[f1740]) ).
fof(f1742,plain,
( spl0_161
| spl0_162
| ~ spl0_50
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f576,f560,f354,f1740,f1736]) ).
fof(f576,plain,
( ! [X0,X1] :
( ~ between(v,w1,X0)
| v = w1
| ~ between(w,v,X1)
| ~ equidistant(w1,X0,v,X1)
| equidistant(X0,w1,X1,v) )
| ~ spl0_50
| ~ spl0_70 ),
inference(resolution,[],[f561,f356]) ).
fof(f1724,plain,
( spl0_160
| ~ spl0_151
| ~ spl0_159 ),
inference(avatar_split_clause,[],[f1720,f1717,f1522,f1722]) ).
fof(f1722,plain,
( spl0_160
<=> ! [X0,X1] :
( ~ between(u,u,X1)
| ~ between(u,w1,X0)
| equidistant(X0,w1,X1,u)
| ~ equidistant(w1,X0,u,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).
fof(f1717,plain,
( spl0_159
<=> ! [X0,X1] :
( ~ between(u,w1,X0)
| equidistant(X0,w1,X1,u)
| ~ equidistant(w1,X0,u,X1)
| ~ between(w,u,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).
fof(f1720,plain,
( ! [X0,X1] :
( ~ between(u,u,X1)
| ~ between(u,w1,X0)
| equidistant(X0,w1,X1,u)
| ~ equidistant(w1,X0,u,X1) )
| ~ spl0_151
| ~ spl0_159 ),
inference(forward_demodulation,[],[f1718,f1524]) ).
fof(f1718,plain,
( ! [X0,X1] :
( ~ equidistant(w1,X0,u,X1)
| equidistant(X0,w1,X1,u)
| ~ between(u,w1,X0)
| ~ between(w,u,X1) )
| ~ spl0_159 ),
inference(avatar_component_clause,[],[f1717]) ).
fof(f1719,plain,
( spl0_156
| spl0_159
| ~ spl0_49
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f575,f560,f349,f1717,f1680]) ).
fof(f575,plain,
( ! [X0,X1] :
( ~ between(u,w1,X0)
| u = w1
| ~ between(w,u,X1)
| ~ equidistant(w1,X0,u,X1)
| equidistant(X0,w1,X1,u) )
| ~ spl0_49
| ~ spl0_70 ),
inference(resolution,[],[f561,f351]) ).
fof(f1706,plain,
( spl0_158
| ~ spl0_151
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f1702,f1697,f1522,f1704]) ).
fof(f1704,plain,
( spl0_158
<=> ! [X0,X1] :
( ~ equidistant(u,X0,w1,X1)
| equidistant(X0,u,X1,w1)
| ~ between(v,u,X0)
| ~ between(v,w1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).
fof(f1697,plain,
( spl0_157
<=> ! [X0,X1] :
( ~ between(v,w,X0)
| equidistant(X0,w,X1,w1)
| ~ equidistant(w,X0,w1,X1)
| ~ between(v,w1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).
fof(f1702,plain,
( ! [X0,X1] :
( ~ equidistant(u,X0,w1,X1)
| equidistant(X0,u,X1,w1)
| ~ between(v,u,X0)
| ~ between(v,w1,X1) )
| ~ spl0_151
| ~ spl0_157 ),
inference(forward_demodulation,[],[f1701,f1524]) ).
fof(f1701,plain,
( ! [X0,X1] :
( equidistant(X0,u,X1,w1)
| ~ between(v,u,X0)
| ~ equidistant(w,X0,w1,X1)
| ~ between(v,w1,X1) )
| ~ spl0_151
| ~ spl0_157 ),
inference(forward_demodulation,[],[f1700,f1524]) ).
fof(f1700,plain,
( ! [X0,X1] :
( ~ between(v,u,X0)
| equidistant(X0,w,X1,w1)
| ~ equidistant(w,X0,w1,X1)
| ~ between(v,w1,X1) )
| ~ spl0_151
| ~ spl0_157 ),
inference(forward_demodulation,[],[f1698,f1524]) ).
fof(f1698,plain,
( ! [X0,X1] :
( ~ equidistant(w,X0,w1,X1)
| equidistant(X0,w,X1,w1)
| ~ between(v,w,X0)
| ~ between(v,w1,X1) )
| ~ spl0_157 ),
inference(avatar_component_clause,[],[f1697]) ).
fof(f1699,plain,
( spl0_153
| spl0_157
| ~ spl0_8
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f574,f560,f60,f1697,f1570]) ).
fof(f574,plain,
( ! [X0,X1] :
( ~ between(v,w,X0)
| v = w
| ~ between(v,w1,X1)
| ~ equidistant(w,X0,w1,X1)
| equidistant(X0,w,X1,w1) )
| ~ spl0_8
| ~ spl0_70 ),
inference(resolution,[],[f561,f62]) ).
fof(f1683,plain,
( ~ spl0_156
| spl0_1
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f1529,f1522,f25,f1680]) ).
fof(f1529,plain,
( u != w1
| spl0_1
| ~ spl0_151 ),
inference(superposition,[],[f27,f1524]) ).
fof(f27,plain,
( w != w1
| spl0_1 ),
inference(avatar_component_clause,[],[f25]) ).
fof(f1636,plain,
( spl0_155
| ~ spl0_152
| ~ spl0_153 ),
inference(avatar_split_clause,[],[f1591,f1570,f1526,f1634]) ).
fof(f1634,plain,
( spl0_155
<=> ! [X0,X1] :
( ~ between(v,u,X0)
| equidistant(X0,u,X1,w1)
| ~ equidistant(u,X0,w1,X1)
| ~ between(u,w1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).
fof(f1526,plain,
( spl0_152
<=> ! [X0,X1] :
( ~ between(w,u,X0)
| equidistant(X0,u,X1,w1)
| ~ equidistant(u,X0,w1,X1)
| ~ between(u,w1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).
fof(f1591,plain,
( ! [X0,X1] :
( ~ between(v,u,X0)
| equidistant(X0,u,X1,w1)
| ~ equidistant(u,X0,w1,X1)
| ~ between(u,w1,X1) )
| ~ spl0_152
| ~ spl0_153 ),
inference(forward_demodulation,[],[f1527,f1572]) ).
fof(f1572,plain,
( v = w
| ~ spl0_153 ),
inference(avatar_component_clause,[],[f1570]) ).
fof(f1527,plain,
( ! [X0,X1] :
( ~ equidistant(u,X0,w1,X1)
| equidistant(X0,u,X1,w1)
| ~ between(w,u,X0)
| ~ between(u,w1,X1) )
| ~ spl0_152 ),
inference(avatar_component_clause,[],[f1526]) ).
fof(f1578,plain,
( spl0_2
| ~ spl0_151
| ~ spl0_153 ),
inference(avatar_split_clause,[],[f1577,f1570,f1522,f30]) ).
fof(f1577,plain,
( u = v
| ~ spl0_151
| ~ spl0_153 ),
inference(forward_demodulation,[],[f1572,f1524]) ).
fof(f1576,plain,
( spl0_153
| spl0_154
| ~ spl0_46
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f572,f560,f327,f1574,f1570]) ).
fof(f1574,plain,
( spl0_154
<=> ! [X0,X1] :
( ~ between(w,v,X0)
| equidistant(X0,v,X1,w1)
| ~ equidistant(v,X0,w1,X1)
| ~ between(v,w1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).
fof(f572,plain,
( ! [X0,X1] :
( ~ between(w,v,X0)
| v = w
| ~ between(v,w1,X1)
| ~ equidistant(v,X0,w1,X1)
| equidistant(X0,v,X1,w1) )
| ~ spl0_46
| ~ spl0_70 ),
inference(resolution,[],[f561,f329]) ).
fof(f1528,plain,
( spl0_151
| spl0_152
| ~ spl0_40
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f571,f560,f276,f1526,f1522]) ).
fof(f571,plain,
( ! [X0,X1] :
( ~ between(w,u,X0)
| u = w
| ~ between(u,w1,X1)
| ~ equidistant(u,X0,w1,X1)
| equidistant(X0,u,X1,w1) )
| ~ spl0_40
| ~ spl0_70 ),
inference(resolution,[],[f561,f278]) ).
fof(f1520,plain,
( spl0_150
| ~ spl0_3
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f556,f527,f35,f1518]) ).
fof(f556,plain,
( ! [X2,X0,X1] :
( v = inner_pasch(v,inner_pasch(X0,X1,w,v,u),X0,v,X2)
| ~ between(X2,v,X0)
| ~ between(X0,X1,w) )
| ~ spl0_3
| ~ spl0_68 ),
inference(resolution,[],[f528,f37]) ).
fof(f1516,plain,
( spl0_149
| ~ spl0_9
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f1260,f1229,f65,f1513]) ).
fof(f1260,plain,
( equidistant(w1,v,w,v)
| ~ spl0_9
| ~ spl0_128 ),
inference(resolution,[],[f1230,f66]) ).
fof(f1511,plain,
( spl0_148
| ~ spl0_3
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f539,f523,f35,f1509]) ).
fof(f539,plain,
( ! [X2,X0,X1] :
( v = inner_pasch(v,inner_pasch(u,v,w,X0,X1),X1,v,X2)
| ~ between(X1,X0,w)
| ~ between(X2,v,X1) )
| ~ spl0_3
| ~ spl0_67 ),
inference(resolution,[],[f524,f37]) ).
fof(f1507,plain,
( spl0_147
| ~ spl0_16
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f459,f445,f99,f1505]) ).
fof(f459,plain,
( ! [X2,X0,X1] :
( v = inner_pasch(u,v,w,inner_pasch(w,X0,X1,v,X2),v)
| ~ between(X2,v,X1)
| ~ between(w,X0,X1) )
| ~ spl0_16
| ~ spl0_56 ),
inference(resolution,[],[f446,f100]) ).
fof(f1503,plain,
( spl0_146
| ~ spl0_15
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f458,f445,f95,f1501]) ).
fof(f458,plain,
( ! [X2,X0,X1] :
( v = inner_pasch(u,v,w,inner_pasch(X0,v,X1,X2,w),v)
| ~ between(w,X2,X1)
| ~ between(X0,v,X1) )
| ~ spl0_15
| ~ spl0_56 ),
inference(resolution,[],[f446,f96]) ).
fof(f1491,plain,
( spl0_145
| ~ spl0_51
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f515,f512,f375,f1489]) ).
fof(f515,plain,
( ! [X0,X1] :
( ~ between(X0,X1,X0)
| ~ between(X0,X0,X0)
| continuous(X0,X0,X0,X1,X0,X0) = X0 )
| ~ spl0_51
| ~ spl0_66 ),
inference(resolution,[],[f513,f376]) ).
fof(f1483,plain,
( ~ spl0_29
| spl0_143 ),
inference(avatar_contradiction_clause,[],[f1482]) ).
fof(f1482,plain,
( $false
| ~ spl0_29
| spl0_143 ),
inference(resolution,[],[f1477,f187]) ).
fof(f1477,plain,
( ~ between(v,w,w)
| spl0_143 ),
inference(avatar_component_clause,[],[f1475]) ).
fof(f1481,plain,
( ~ spl0_143
| spl0_144
| ~ spl0_8
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f510,f502,f60,f1479,f1475]) ).
fof(f510,plain,
( ! [X0] :
( ~ between(w,X0,w)
| ~ between(v,w,w)
| w1 = continuous(v,w,w1,X0,w,w1) )
| ~ spl0_8
| ~ spl0_65 ),
inference(resolution,[],[f503,f62]) ).
fof(f1473,plain,
( ~ spl0_141
| spl0_142
| ~ spl0_52
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f508,f502,f379,f1471,f1467]) ).
fof(f1471,plain,
( spl0_142
<=> ! [X0] :
( ~ between(w,X0,w1)
| w1 = continuous(v,w,w1,X0,w1,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
fof(f508,plain,
( ! [X0] :
( ~ between(w,X0,w1)
| ~ between(v,w,w1)
| w1 = continuous(v,w,w1,X0,w1,w1) )
| ~ spl0_52
| ~ spl0_65 ),
inference(resolution,[],[f503,f380]) ).
fof(f1454,plain,
( ~ spl0_29
| spl0_139 ),
inference(avatar_contradiction_clause,[],[f1453]) ).
fof(f1453,plain,
( $false
| ~ spl0_29
| spl0_139 ),
inference(resolution,[],[f1448,f187]) ).
fof(f1448,plain,
( ~ between(u,w,w)
| spl0_139 ),
inference(avatar_component_clause,[],[f1446]) ).
fof(f1452,plain,
( ~ spl0_139
| spl0_140
| ~ spl0_7
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f507,f498,f55,f1450,f1446]) ).
fof(f507,plain,
( ! [X0] :
( ~ between(w,X0,w)
| ~ between(u,w,w)
| w1 = continuous(u,w,w1,X0,w,w1) )
| ~ spl0_7
| ~ spl0_64 ),
inference(resolution,[],[f499,f57]) ).
fof(f1444,plain,
( ~ spl0_137
| spl0_138
| ~ spl0_52
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f505,f498,f379,f1442,f1438]) ).
fof(f1442,plain,
( spl0_138
<=> ! [X0] :
( ~ between(w,X0,w1)
| w1 = continuous(u,w,w1,X0,w1,w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f505,plain,
( ! [X0] :
( ~ between(w,X0,w1)
| ~ between(u,w,w1)
| w1 = continuous(u,w,w1,X0,w1,w1) )
| ~ spl0_52
| ~ spl0_64 ),
inference(resolution,[],[f499,f380]) ).
fof(f1431,plain,
( spl0_136
| ~ spl0_29
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f482,f474,f186,f1429]) ).
fof(f482,plain,
( ! [X2,X3,X0,X1] : inner_pasch(X0,X1,extension(X0,X1,X2,X3),extension(X0,X1,X2,X3),X1) = X1
| ~ spl0_29
| ~ spl0_61 ),
inference(resolution,[],[f475,f187]) ).
fof(f1381,plain,
( spl0_135
| ~ spl0_14
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f429,f412,f87,f1379]) ).
fof(f429,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(extension(X0,X1,X2,X3),X1,X4,X5)
| equidistant(X4,X5,X2,X3) )
| ~ spl0_14
| ~ spl0_54 ),
inference(resolution,[],[f413,f88]) ).
fof(f1370,plain,
( spl0_134
| ~ spl0_14
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f418,f408,f87,f1368]) ).
fof(f418,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,extension(X4,X5,X0,X1),X5) )
| ~ spl0_14
| ~ spl0_53 ),
inference(resolution,[],[f409,f88]) ).
fof(f1351,plain,
( spl0_133
| ~ spl0_28
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f420,f408,f178,f1349]) ).
fof(f420,plain,
( ! [X2,X3,X0,X1,X4,X5] : equidistant(extension(X0,X1,X2,extension(X3,X2,X4,X5)),X1,X4,X5)
| ~ spl0_28
| ~ spl0_53 ),
inference(resolution,[],[f409,f179]) ).
fof(f1317,plain,
( spl0_132
| ~ spl0_12
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f481,f474,f77,f1315]) ).
fof(f1315,plain,
( spl0_132
<=> ! [X2,X0,X1] : inner_pasch(X0,X0,extension(X0,X0,X1,X2),X0,X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
fof(f481,plain,
( ! [X2,X0,X1] : inner_pasch(X0,X0,extension(X0,X0,X1,X2),X0,X0) = X0
| ~ spl0_12
| ~ spl0_61 ),
inference(resolution,[],[f475,f78]) ).
fof(f1313,plain,
( spl0_131
| ~ spl0_29
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f234,f190,f186,f1311]) ).
fof(f234,plain,
( ! [X2,X0,X1] :
( ~ between(X0,X1,X0)
| inner_pasch(X2,X0,X0,X1,X0) = X0 )
| ~ spl0_29
| ~ spl0_30 ),
inference(resolution,[],[f187,f191]) ).
fof(f1309,plain,
( spl0_130
| ~ spl0_29
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f233,f194,f186,f1307]) ).
fof(f233,plain,
( ! [X2,X0,X1] :
( ~ between(X0,X1,X2)
| inner_pasch(X1,X2,X2,X1,X0) = X1 )
| ~ spl0_29
| ~ spl0_31 ),
inference(resolution,[],[f187,f195]) ).
fof(f1267,plain,
( spl0_129
| ~ spl0_14
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f398,f379,f87,f1265]) ).
fof(f398,plain,
( ! [X2,X3,X0,X1] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,X0,X1) )
| ~ spl0_14
| ~ spl0_52 ),
inference(resolution,[],[f380,f88]) ).
fof(f1231,plain,
( spl0_128
| ~ spl0_14
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f373,f354,f87,f1229]) ).
fof(f373,plain,
( ! [X0,X1] :
( ~ equidistant(v,w1,X0,X1)
| equidistant(X0,X1,w,v) )
| ~ spl0_14
| ~ spl0_50 ),
inference(resolution,[],[f356,f88]) ).
fof(f1227,plain,
( spl0_127
| ~ spl0_14
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f369,f349,f87,f1225]) ).
fof(f369,plain,
( ! [X0,X1] :
( ~ equidistant(u,w1,X0,X1)
| equidistant(X0,X1,w,u) )
| ~ spl0_14
| ~ spl0_49 ),
inference(resolution,[],[f351,f88]) ).
fof(f1223,plain,
( spl0_126
| ~ spl0_14
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f365,f327,f87,f1221]) ).
fof(f365,plain,
( ! [X0,X1] :
( ~ equidistant(w,v,X0,X1)
| equidistant(X0,X1,v,w1) )
| ~ spl0_14
| ~ spl0_46 ),
inference(resolution,[],[f329,f88]) ).
fof(f1219,plain,
( spl0_125
| ~ spl0_14
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f361,f276,f87,f1217]) ).
fof(f361,plain,
( ! [X0,X1] :
( ~ equidistant(w,u,X0,X1)
| equidistant(X0,X1,u,w1) )
| ~ spl0_14
| ~ spl0_40 ),
inference(resolution,[],[f278,f88]) ).
fof(f1176,plain,
( spl0_124
| ~ spl0_27
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f427,f412,f169,f1174]) ).
fof(f427,plain,
( ! [X2,X3,X0,X1] : equidistant(X0,X1,X2,extension(X3,X2,X0,X1))
| ~ spl0_27
| ~ spl0_54 ),
inference(resolution,[],[f413,f170]) ).
fof(f1172,plain,
( spl0_123
| ~ spl0_27
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f416,f408,f169,f1170]) ).
fof(f416,plain,
( ! [X2,X3,X0,X1] : equidistant(extension(X0,X1,X2,X3),X1,X3,X2)
| ~ spl0_27
| ~ spl0_53 ),
inference(resolution,[],[f409,f170]) ).
fof(f1154,plain,
( spl0_122
| ~ spl0_26
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f423,f408,f159,f1152]) ).
fof(f423,plain,
( ! [X0,X1] : equidistant(extension(X0,X1,v,w),X1,v,w1)
| ~ spl0_26
| ~ spl0_53 ),
inference(resolution,[],[f409,f160]) ).
fof(f1150,plain,
( spl0_121
| ~ spl0_25
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f422,f408,f155,f1148]) ).
fof(f422,plain,
( ! [X0,X1] : equidistant(extension(X0,X1,u,w),X1,u,w1)
| ~ spl0_25
| ~ spl0_53 ),
inference(resolution,[],[f409,f156]) ).
fof(f1142,plain,
( spl0_120
| ~ spl0_29
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f457,f445,f186,f1139]) ).
fof(f457,plain,
( v = inner_pasch(u,v,w,w,v)
| ~ spl0_29
| ~ spl0_56 ),
inference(resolution,[],[f446,f187]) ).
fof(f1129,plain,
( spl0_119
| ~ spl0_27
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f917,f625,f169,f1126]) ).
fof(f1126,plain,
( spl0_119
<=> equidistant(w1,v,v,w) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f917,plain,
( equidistant(w1,v,v,w)
| ~ spl0_27
| ~ spl0_75 ),
inference(resolution,[],[f627,f170]) ).
fof(f1124,plain,
( spl0_118
| ~ spl0_30
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f325,f320,f190,f1122]) ).
fof(f325,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ equidistant(X0,X3,X0,X4)
| ~ between(X3,X5,X1)
| ~ between(X0,X5,X6)
| ~ equidistant(X0,X6,X0,X7)
| ~ between(X5,X8,X6)
| ~ between(X0,X3,X1)
| ~ between(continuous(X0,X5,continuous(X0,X3,X4,X5,X1,X2),X8,X6,X7),X9,X7)
| continuous(X0,X5,continuous(X0,X3,X4,X5,X1,X2),X8,X6,X7) = inner_pasch(continuous(X0,X3,X4,X5,X1,X2),continuous(X0,X5,continuous(X0,X3,X4,X5,X1,X2),X8,X6,X7),X7,X9,continuous(X0,X5,continuous(X0,X3,X4,X5,X1,X2),X8,X6,X7)) )
| ~ spl0_30
| ~ spl0_45 ),
inference(resolution,[],[f321,f191]) ).
fof(f1116,plain,
( spl0_117
| ~ spl0_41
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f308,f304,f281,f1114]) ).
fof(f1114,plain,
( spl0_117
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( between(X0,X1,X2)
| between(X2,X0,X1)
| continuous(X0,X4,X5,X6,X7,X8) = extension(X3,X1,X1,continuous(X0,X4,X5,X6,X7,X8))
| between(X1,X2,X0)
| ~ equidistant(X2,extension(X3,X1,X1,continuous(X0,X4,X5,X6,X7,X8)),X2,continuous(X0,X4,X5,X6,X7,X8))
| ~ equidistant(X0,X7,X0,X8)
| ~ equidistant(X0,X4,X0,X5)
| ~ between(X4,X6,X7)
| ~ equidistant(X0,X6,X0,extension(X3,X1,X1,continuous(X0,X4,X5,X6,X7,X8)))
| ~ between(X0,X4,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f304,plain,
( spl0_43
<=> ! [X4,X0,X3,X2,X1] :
( between(X0,X1,X2)
| between(X2,X0,X1)
| between(X1,X2,X0)
| extension(X4,X0,X0,X3) = X3
| ~ equidistant(X2,extension(X4,X0,X0,X3),X2,X3)
| ~ equidistant(X1,extension(X4,X0,X0,X3),X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f308,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( between(X0,X1,X2)
| between(X2,X0,X1)
| continuous(X0,X4,X5,X6,X7,X8) = extension(X3,X1,X1,continuous(X0,X4,X5,X6,X7,X8))
| between(X1,X2,X0)
| ~ equidistant(X2,extension(X3,X1,X1,continuous(X0,X4,X5,X6,X7,X8)),X2,continuous(X0,X4,X5,X6,X7,X8))
| ~ equidistant(X0,X7,X0,X8)
| ~ equidistant(X0,X4,X0,X5)
| ~ between(X4,X6,X7)
| ~ equidistant(X0,X6,X0,extension(X3,X1,X1,continuous(X0,X4,X5,X6,X7,X8)))
| ~ between(X0,X4,X7) )
| ~ spl0_41
| ~ spl0_43 ),
inference(resolution,[],[f305,f282]) ).
fof(f305,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ equidistant(X2,extension(X4,X0,X0,X3),X2,X3)
| between(X2,X0,X1)
| between(X1,X2,X0)
| extension(X4,X0,X0,X3) = X3
| between(X0,X1,X2)
| ~ equidistant(X1,extension(X4,X0,X0,X3),X1,X3) )
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f1097,plain,
( spl0_116
| ~ spl0_31
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f324,f320,f194,f1095]) ).
fof(f324,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ equidistant(X0,X3,X0,X4)
| ~ between(X3,X5,X1)
| ~ between(X0,X5,X6)
| ~ equidistant(X0,X6,X0,X7)
| ~ between(X5,X8,X6)
| ~ between(X0,X3,X1)
| ~ between(X9,continuous(X0,X3,X4,X5,X1,X2),X7)
| continuous(X0,X3,X4,X5,X1,X2) = inner_pasch(continuous(X0,X3,X4,X5,X1,X2),continuous(X0,X5,continuous(X0,X3,X4,X5,X1,X2),X8,X6,X7),X7,continuous(X0,X3,X4,X5,X1,X2),X9) )
| ~ spl0_31
| ~ spl0_45 ),
inference(resolution,[],[f321,f195]) ).
fof(f1089,plain,
( spl0_115
| ~ spl0_41
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f316,f311,f281,f1087]) ).
fof(f316,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ between(X0,X1,X2)
| X0 = X1
| ~ between(X3,X4,X5)
| ~ equidistant(X1,X2,X4,X5)
| ~ equidistant(X0,X1,X3,X4)
| equidistant(X2,extension(X6,X1,X4,continuous(X3,X7,X8,X9,X10,X11)),X5,continuous(X3,X7,X8,X9,X10,X11))
| ~ equidistant(X3,X10,X3,X11)
| ~ equidistant(X3,X7,X3,X8)
| ~ between(X7,X9,X10)
| ~ equidistant(X3,X9,X0,extension(X6,X1,X4,continuous(X3,X7,X8,X9,X10,X11)))
| ~ between(X3,X7,X10) )
| ~ spl0_41
| ~ spl0_44 ),
inference(resolution,[],[f312,f282]) ).
fof(f1076,plain,
( spl0_114
| ~ spl0_30
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f301,f296,f190,f1074]) ).
fof(f301,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(extension(X3,X0,X0,X4),X5,X1)
| ~ between(X0,extension(X3,X0,X0,X4),X1)
| ~ between(continuous(X0,extension(X3,X0,X0,X4),X4,X5,X1,X2),X6,X2)
| continuous(X0,extension(X3,X0,X0,X4),X4,X5,X1,X2) = inner_pasch(X4,continuous(X0,extension(X3,X0,X0,X4),X4,X5,X1,X2),X2,X6,continuous(X0,extension(X3,X0,X0,X4),X4,X5,X1,X2)) )
| ~ spl0_30
| ~ spl0_42 ),
inference(resolution,[],[f297,f191]) ).
fof(f1071,plain,
( spl0_113
| ~ spl0_27
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f843,f543,f169,f1068]) ).
fof(f1068,plain,
( spl0_113
<=> equidistant(w1,u,u,w) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f843,plain,
( equidistant(w1,u,u,w)
| ~ spl0_27
| ~ spl0_69 ),
inference(resolution,[],[f545,f170]) ).
fof(f1066,plain,
( spl0_112
| ~ spl0_9
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f343,f336,f65,f1064]) ).
fof(f343,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ between(continuous(X0,X1,X2,X3,X4,X5),X0,X6)
| continuous(X0,X1,X2,X3,X4,X5) = X0
| ~ between(X3,X0,X7)
| ~ equidistant(X0,X6,X0,X7)
| ~ equidistant(continuous(X0,X1,X2,X3,X4,X5),X0,X3,X0)
| equidistant(X6,X3,X7,continuous(X0,X1,X2,X3,X4,X5))
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X5)
| ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4) )
| ~ spl0_9
| ~ spl0_48 ),
inference(resolution,[],[f337,f66]) ).
fof(f1038,plain,
( spl0_111
| ~ spl0_23
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f288,f281,f135,f1036]) ).
fof(f288,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ equidistant(X0,X3,X0,X4)
| ~ between(X3,X5,X1)
| ~ equidistant(X0,X5,X0,X6)
| ~ between(X0,X3,X1)
| between(X0,X7,X8)
| between(X8,X0,X7)
| between(X7,X8,X0)
| continuous(X0,X3,X4,X5,X1,X2) = X6
| ~ equidistant(X8,X6,X8,continuous(X0,X3,X4,X5,X1,X2))
| ~ equidistant(X7,X6,X7,continuous(X0,X3,X4,X5,X1,X2)) )
| ~ spl0_23
| ~ spl0_41 ),
inference(resolution,[],[f282,f136]) ).
fof(f1034,plain,
( spl0_110
| ~ spl0_24
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f286,f281,f146,f1032]) ).
fof(f286,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ equidistant(X0,X3,X0,X4)
| ~ between(X3,X5,X1)
| ~ equidistant(X0,X5,X6,X7)
| ~ between(X0,X3,X1)
| ~ between(X8,X0,X9)
| ~ between(X10,X6,X11)
| X6 = X10
| ~ equidistant(X10,X7,X8,continuous(X0,X3,X4,X5,X1,X2))
| ~ equidistant(X6,X11,X0,X9)
| ~ equidistant(X10,X6,X8,X0)
| equidistant(X11,X7,X9,continuous(X0,X3,X4,X5,X1,X2)) )
| ~ spl0_24
| ~ spl0_41 ),
inference(resolution,[],[f282,f147]) ).
fof(f1022,plain,
( spl0_109
| ~ spl0_10
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f323,f320,f69,f1020]) ).
fof(f323,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ equidistant(X0,X3,X0,X4)
| ~ between(X3,X5,X1)
| ~ between(X0,X5,X6)
| ~ equidistant(X0,X6,X0,continuous(X0,X3,X4,X5,X1,X2))
| ~ between(X5,X7,X6)
| ~ between(X0,X3,X1)
| continuous(X0,X3,X4,X5,X1,X2) = continuous(X0,X5,continuous(X0,X3,X4,X5,X1,X2),X7,X6,continuous(X0,X3,X4,X5,X1,X2)) )
| ~ spl0_10
| ~ spl0_45 ),
inference(resolution,[],[f321,f70]) ).
fof(f1018,plain,
( spl0_108
| ~ spl0_39
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f284,f281,f264,f1016]) ).
fof(f1016,plain,
( spl0_108
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ equidistant(X0,X3,X0,X4)
| ~ between(X3,X5,X1)
| ~ equidistant(X0,X5,X6,X7)
| ~ between(X0,X3,X1)
| ~ between(X8,X6,X7)
| X6 = X8
| ~ equidistant(X8,X0,X9,X6)
| ~ between(X9,X0,continuous(X0,X3,X4,X5,X1,X2))
| ~ equidistant(X8,X6,X9,X0)
| equidistant(X7,X0,continuous(X0,X3,X4,X5,X1,X2),X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f284,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ equidistant(X0,X3,X0,X4)
| ~ between(X3,X5,X1)
| ~ equidistant(X0,X5,X6,X7)
| ~ between(X0,X3,X1)
| ~ between(X8,X6,X7)
| X6 = X8
| ~ equidistant(X8,X0,X9,X6)
| ~ between(X9,X0,continuous(X0,X3,X4,X5,X1,X2))
| ~ equidistant(X8,X6,X9,X0)
| equidistant(X7,X0,continuous(X0,X3,X4,X5,X1,X2),X6) )
| ~ spl0_39
| ~ spl0_41 ),
inference(resolution,[],[f282,f265]) ).
fof(f1014,plain,
( spl0_107
| ~ spl0_27
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f752,f491,f169,f1011]) ).
fof(f1011,plain,
( spl0_107
<=> equidistant(v,w,w1,v) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f752,plain,
( equidistant(v,w,w1,v)
| ~ spl0_27
| ~ spl0_63 ),
inference(resolution,[],[f493,f170]) ).
fof(f1009,plain,
( spl0_106
| ~ spl0_38
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f294,f281,f252,f1007]) ).
fof(f1007,plain,
( spl0_106
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ equidistant(v,X0,v,X1)
| ~ equidistant(v,X2,v,X3)
| ~ between(X2,X4,X0)
| ~ equidistant(v,X4,v,X5)
| ~ between(v,X2,X0)
| ~ between(X6,v,X5)
| v = X6
| ~ equidistant(X6,w,X7,w1)
| ~ between(X7,v,continuous(v,X2,X3,X4,X0,X1))
| ~ equidistant(X6,v,X7,v)
| equidistant(X5,w,continuous(v,X2,X3,X4,X0,X1),w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f294,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(v,X0,v,X1)
| ~ equidistant(v,X2,v,X3)
| ~ between(X2,X4,X0)
| ~ equidistant(v,X4,v,X5)
| ~ between(v,X2,X0)
| ~ between(X6,v,X5)
| v = X6
| ~ equidistant(X6,w,X7,w1)
| ~ between(X7,v,continuous(v,X2,X3,X4,X0,X1))
| ~ equidistant(X6,v,X7,v)
| equidistant(X5,w,continuous(v,X2,X3,X4,X0,X1),w1) )
| ~ spl0_38
| ~ spl0_41 ),
inference(resolution,[],[f282,f253]) ).
fof(f1005,plain,
( spl0_105
| ~ spl0_37
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f292,f281,f248,f1003]) ).
fof(f1003,plain,
( spl0_105
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ equidistant(u,X0,u,X1)
| ~ equidistant(u,X2,u,X3)
| ~ between(X2,X4,X0)
| ~ equidistant(u,X4,u,X5)
| ~ between(u,X2,X0)
| ~ between(X6,u,X5)
| u = X6
| ~ equidistant(X6,w,X7,w1)
| ~ between(X7,u,continuous(u,X2,X3,X4,X0,X1))
| ~ equidistant(X6,u,X7,u)
| equidistant(X5,w,continuous(u,X2,X3,X4,X0,X1),w1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f292,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(u,X0,u,X1)
| ~ equidistant(u,X2,u,X3)
| ~ between(X2,X4,X0)
| ~ equidistant(u,X4,u,X5)
| ~ between(u,X2,X0)
| ~ between(X6,u,X5)
| u = X6
| ~ equidistant(X6,w,X7,w1)
| ~ between(X7,u,continuous(u,X2,X3,X4,X0,X1))
| ~ equidistant(X6,u,X7,u)
| equidistant(X5,w,continuous(u,X2,X3,X4,X0,X1),w1) )
| ~ spl0_37
| ~ spl0_41 ),
inference(resolution,[],[f282,f249]) ).
fof(f986,plain,
( spl0_104
| ~ spl0_21
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f289,f281,f121,f984]) ).
fof(f289,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ equidistant(X0,X3,X0,X4)
| ~ between(X3,X5,X1)
| ~ equidistant(X0,X5,X0,X6)
| ~ between(X0,X3,X1)
| ~ between(X0,X6,X7)
| ~ equidistant(X0,X7,X0,X8)
| ~ between(X6,X9,X7)
| between(continuous(X0,X3,X4,X5,X1,X2),continuous(X0,X6,continuous(X0,X3,X4,X5,X1,X2),X9,X7,X8),X8) )
| ~ spl0_21
| ~ spl0_41 ),
inference(resolution,[],[f282,f122]) ).
fof(f982,plain,
( spl0_103
| ~ spl0_22
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f261,f252,f129,f980]) ).
fof(f980,plain,
( spl0_103
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ between(X0,v,X1)
| v = X0
| ~ equidistant(X0,w,X2,w1)
| ~ between(X2,v,continuous(v,X3,X4,X1,X5,X6))
| ~ equidistant(X0,v,X2,v)
| equidistant(X1,w,continuous(v,X3,X4,X1,X5,X6),w1)
| ~ between(v,X3,X5)
| ~ equidistant(v,X5,v,X6)
| ~ equidistant(v,X3,v,X4)
| ~ between(X3,X1,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f261,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ between(X0,v,X1)
| v = X0
| ~ equidistant(X0,w,X2,w1)
| ~ between(X2,v,continuous(v,X3,X4,X1,X5,X6))
| ~ equidistant(X0,v,X2,v)
| equidistant(X1,w,continuous(v,X3,X4,X1,X5,X6),w1)
| ~ between(v,X3,X5)
| ~ equidistant(v,X5,v,X6)
| ~ equidistant(v,X3,v,X4)
| ~ between(X3,X1,X5) )
| ~ spl0_22
| ~ spl0_38 ),
inference(resolution,[],[f253,f130]) ).
fof(f978,plain,
( spl0_102
| ~ spl0_22
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f257,f248,f129,f976]) ).
fof(f976,plain,
( spl0_102
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ between(X0,u,X1)
| u = X0
| ~ equidistant(X0,w,X2,w1)
| ~ between(X2,u,continuous(u,X3,X4,X1,X5,X6))
| ~ equidistant(X0,u,X2,u)
| equidistant(X1,w,continuous(u,X3,X4,X1,X5,X6),w1)
| ~ between(u,X3,X5)
| ~ equidistant(u,X5,u,X6)
| ~ equidistant(u,X3,u,X4)
| ~ between(X3,X1,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f257,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ between(X0,u,X1)
| u = X0
| ~ equidistant(X0,w,X2,w1)
| ~ between(X2,u,continuous(u,X3,X4,X1,X5,X6))
| ~ equidistant(X0,u,X2,u)
| equidistant(X1,w,continuous(u,X3,X4,X1,X5,X6),w1)
| ~ between(u,X3,X5)
| ~ equidistant(u,X5,u,X6)
| ~ equidistant(u,X3,u,X4)
| ~ between(X3,X1,X5) )
| ~ spl0_22
| ~ spl0_37 ),
inference(resolution,[],[f249,f130]) ).
fof(f974,plain,
( spl0_101
| ~ spl0_27
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f695,f449,f169,f971]) ).
fof(f695,plain,
( equidistant(u,w,w1,u)
| ~ spl0_27
| ~ spl0_57 ),
inference(resolution,[],[f451,f170]) ).
fof(f969,plain,
( spl0_100
| ~ spl0_20
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f210,f194,f117,f967]) ).
fof(f967,plain,
( spl0_100
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ between(X0,euclid1(X1,X2,X3,X4,X5),euclid2(X1,X2,X3,X4,X5))
| euclid1(X1,X2,X3,X4,X5) = inner_pasch(euclid1(X1,X2,X3,X4,X5),X5,euclid2(X1,X2,X3,X4,X5),euclid1(X1,X2,X3,X4,X5),X0)
| ~ between(X2,X3,X4)
| ~ between(X1,X3,X5)
| X1 = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f210,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(X0,euclid1(X1,X2,X3,X4,X5),euclid2(X1,X2,X3,X4,X5))
| euclid1(X1,X2,X3,X4,X5) = inner_pasch(euclid1(X1,X2,X3,X4,X5),X5,euclid2(X1,X2,X3,X4,X5),euclid1(X1,X2,X3,X4,X5),X0)
| ~ between(X2,X3,X4)
| ~ between(X1,X3,X5)
| X1 = X3 )
| ~ spl0_20
| ~ spl0_31 ),
inference(resolution,[],[f195,f118]) ).
fof(f959,plain,
( spl0_99
| ~ spl0_30
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f231,f226,f190,f957]) ).
fof(f226,plain,
( spl0_34
<=> ! [X0,X3,X2,X1] :
( ~ between(X0,X0,X1)
| ~ equidistant(X0,X1,X0,X2)
| ~ between(X0,X3,X1)
| between(X0,continuous(X0,X0,X0,X3,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f231,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X0,X3,X1)
| ~ between(X0,X0,X1)
| ~ between(continuous(X0,X0,X0,X3,X1,X2),X4,X2)
| continuous(X0,X0,X0,X3,X1,X2) = inner_pasch(X0,continuous(X0,X0,X0,X3,X1,X2),X2,X4,continuous(X0,X0,X0,X3,X1,X2)) )
| ~ spl0_30
| ~ spl0_34 ),
inference(resolution,[],[f227,f191]) ).
fof(f227,plain,
( ! [X2,X3,X0,X1] :
( between(X0,continuous(X0,X0,X0,X3,X1,X2),X2)
| ~ equidistant(X0,X1,X0,X2)
| ~ between(X0,X3,X1)
| ~ between(X0,X0,X1) )
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f943,plain,
( spl0_98
| ~ spl0_30
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f224,f216,f190,f941]) ).
fof(f224,plain,
( ! [X2,X3,X0,X1] :
( ~ equidistant(v,X0,v,X1)
| ~ between(w,X2,X0)
| ~ between(v,w,X0)
| ~ between(continuous(v,w,w1,X2,X0,X1),X3,X1)
| continuous(v,w,w1,X2,X0,X1) = inner_pasch(w1,continuous(v,w,w1,X2,X0,X1),X1,X3,continuous(v,w,w1,X2,X0,X1)) )
| ~ spl0_30
| ~ spl0_33 ),
inference(resolution,[],[f217,f191]) ).
fof(f939,plain,
( spl0_97
| ~ spl0_30
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f221,f212,f190,f937]) ).
fof(f221,plain,
( ! [X2,X3,X0,X1] :
( ~ equidistant(u,X0,u,X1)
| ~ between(w,X2,X0)
| ~ between(u,w,X0)
| ~ between(continuous(u,w,w1,X2,X0,X1),X3,X1)
| continuous(u,w,w1,X2,X0,X1) = inner_pasch(w1,continuous(u,w,w1,X2,X0,X1),X1,X3,continuous(u,w,w1,X2,X0,X1)) )
| ~ spl0_30
| ~ spl0_32 ),
inference(resolution,[],[f213,f191]) ).
fof(f927,plain,
( spl0_96
| ~ spl0_31
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f300,f296,f194,f925]) ).
fof(f300,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(extension(X3,X0,X0,X4),X5,X1)
| ~ between(X0,extension(X3,X0,X0,X4),X1)
| ~ between(X6,X4,X2)
| inner_pasch(X4,continuous(X0,extension(X3,X0,X0,X4),X4,X5,X1,X2),X2,X4,X6) = X4 )
| ~ spl0_31
| ~ spl0_42 ),
inference(resolution,[],[f297,f195]) ).
fof(f909,plain,
( spl0_95
| ~ spl0_16
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f202,f190,f99,f907]) ).
fof(f202,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(inner_pasch(X0,X1,X2,X3,X4),X5,X0)
| inner_pasch(X0,X1,X2,X3,X4) = inner_pasch(X3,inner_pasch(X0,X1,X2,X3,X4),X0,X5,inner_pasch(X0,X1,X2,X3,X4))
| ~ between(X4,X3,X2)
| ~ between(X0,X1,X2) )
| ~ spl0_16
| ~ spl0_30 ),
inference(resolution,[],[f191,f100]) ).
fof(f905,plain,
( spl0_94
| ~ spl0_15
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f201,f190,f95,f903]) ).
fof(f201,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(inner_pasch(X0,X1,X2,X3,X4),X5,X4)
| inner_pasch(X0,X1,X2,X3,X4) = inner_pasch(X1,inner_pasch(X0,X1,X2,X3,X4),X4,X5,inner_pasch(X0,X1,X2,X3,X4))
| ~ between(X4,X3,X2)
| ~ between(X0,X1,X2) )
| ~ spl0_15
| ~ spl0_30 ),
inference(resolution,[],[f191,f96]) ).
fof(f877,plain,
( spl0_93
| ~ spl0_14
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f287,f281,f87,f875]) ).
fof(f287,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ equidistant(X0,X3,X0,X4)
| ~ between(X3,X5,X1)
| ~ equidistant(X0,X5,X6,X7)
| ~ between(X0,X3,X1)
| ~ equidistant(X6,X7,X8,X9)
| equidistant(X8,X9,X0,continuous(X0,X3,X4,X5,X1,X2)) )
| ~ spl0_14
| ~ spl0_41 ),
inference(resolution,[],[f282,f88]) ).
fof(f853,plain,
( spl0_92
| ~ spl0_9
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f315,f311,f65,f851]) ).
fof(f315,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(X0,X1,X2)
| X0 = X1
| ~ between(extension(X3,X1,X4,X0),X4,X5)
| ~ equidistant(X1,X2,X4,X5)
| ~ equidistant(X0,X1,extension(X3,X1,X4,X0),X4)
| equidistant(X2,extension(X3,X1,X4,X0),X5,X0) )
| ~ spl0_9
| ~ spl0_44 ),
inference(resolution,[],[f312,f66]) ).
fof(f849,plain,
( spl0_91
| ~ spl0_28
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f290,f281,f178,f847]) ).
fof(f290,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ equidistant(X0,X3,X0,X4)
| ~ between(X3,X5,X1)
| ~ equidistant(X0,X5,X6,extension(X7,X6,X8,X9))
| ~ between(X0,X3,X1)
| equidistant(X0,continuous(X0,X3,X4,X5,X1,X2),X8,X9) )
| ~ spl0_28
| ~ spl0_41 ),
inference(resolution,[],[f282,f179]) ).
fof(f840,plain,
( spl0_90
| ~ spl0_20
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f203,f190,f117,f838]) ).
fof(f203,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(X0,X1,euclid2(X2,X3,X4,X5,X0))
| inner_pasch(euclid1(X2,X3,X4,X5,X0),X0,euclid2(X2,X3,X4,X5,X0),X1,X0) = X0
| ~ between(X3,X4,X5)
| ~ between(X2,X4,X0)
| X2 = X4 )
| ~ spl0_20
| ~ spl0_30 ),
inference(resolution,[],[f191,f118]) ).
fof(f813,plain,
( spl0_89
| ~ spl0_22
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f183,f178,f129,f811]) ).
fof(f183,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( equidistant(X0,continuous(X0,X1,X2,extension(X3,X0,X4,X5),X6,X7),X4,X5)
| ~ between(X0,X1,X6)
| ~ equidistant(X0,X6,X0,X7)
| ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,extension(X3,X0,X4,X5),X6) )
| ~ spl0_22
| ~ spl0_28 ),
inference(resolution,[],[f179,f130]) ).
fof(f781,plain,
( spl0_88
| ~ spl0_10
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f299,f296,f69,f779]) ).
fof(f299,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(extension(X3,X0,X0,X2),X4,X1)
| ~ between(X0,extension(X3,X0,X0,X2),X1)
| continuous(X0,extension(X3,X0,X0,X2),X2,X4,X1,X2) = X2 )
| ~ spl0_10
| ~ spl0_42 ),
inference(resolution,[],[f297,f70]) ).
fof(f777,plain,
( spl0_87
| ~ spl0_27
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f285,f281,f169,f775]) ).
fof(f285,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ equidistant(X0,X3,X0,X4)
| ~ between(X3,X5,X1)
| ~ equidistant(X0,X5,X6,X7)
| ~ between(X0,X3,X1)
| equidistant(X0,continuous(X0,X3,X4,X5,X1,X2),X7,X6) )
| ~ spl0_27
| ~ spl0_41 ),
inference(resolution,[],[f282,f170]) ).
fof(f773,plain,
( spl0_86
| ~ spl0_13
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f271,f264,f82,f771]) ).
fof(f271,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(X0,X1,extension(X2,X1,X3,X4))
| X0 = X1
| ~ equidistant(X0,X3,X5,X1)
| ~ between(X5,X3,X4)
| ~ equidistant(X0,X1,X5,X3)
| equidistant(extension(X2,X1,X3,X4),X3,X4,X1) )
| ~ spl0_13
| ~ spl0_39 ),
inference(resolution,[],[f265,f83]) ).
fof(f732,plain,
( spl0_85
| ~ spl0_26
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f293,f281,f159,f730]) ).
fof(f293,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ equidistant(X0,X3,X0,X4)
| ~ between(X3,X5,X1)
| ~ equidistant(X0,X5,v,w)
| ~ between(X0,X3,X1)
| equidistant(X0,continuous(X0,X3,X4,X5,X1,X2),v,w1) )
| ~ spl0_26
| ~ spl0_41 ),
inference(resolution,[],[f282,f160]) ).
fof(f728,plain,
( spl0_84
| ~ spl0_25
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f291,f281,f155,f726]) ).
fof(f291,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X0,X2)
| ~ equidistant(X0,X3,X0,X4)
| ~ between(X3,X5,X1)
| ~ equidistant(X0,X5,u,w)
| ~ between(X0,X3,X1)
| equidistant(X0,continuous(X0,X3,X4,X5,X1,X2),u,w1) )
| ~ spl0_25
| ~ spl0_41 ),
inference(resolution,[],[f282,f156]) ).
fof(f724,plain,
( spl0_83
| ~ spl0_13
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f262,f252,f82,f722]) ).
fof(f262,plain,
( ! [X2,X3,X0,X1] :
( ~ between(X0,v,extension(X1,v,v,X2))
| v = X0
| ~ equidistant(X0,w,X3,w1)
| ~ between(X3,v,X2)
| ~ equidistant(X0,v,X3,v)
| equidistant(extension(X1,v,v,X2),w,X2,w1) )
| ~ spl0_13
| ~ spl0_38 ),
inference(resolution,[],[f253,f83]) ).
fof(f720,plain,
( spl0_82
| ~ spl0_13
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f258,f248,f82,f718]) ).
fof(f258,plain,
( ! [X2,X3,X0,X1] :
( ~ between(X0,u,extension(X1,u,u,X2))
| u = X0
| ~ equidistant(X0,w,X3,w1)
| ~ between(X3,u,X2)
| ~ equidistant(X0,u,X3,u)
| equidistant(extension(X1,u,u,X2),w,X2,w1) )
| ~ spl0_13
| ~ spl0_37 ),
inference(resolution,[],[f249,f83]) ).
fof(f681,plain,
( spl0_81
| ~ spl0_18
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f207,f194,f109,f679]) ).
fof(f679,plain,
( spl0_81
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ between(X0,X1,euclid2(X1,X2,X3,X4,X5))
| inner_pasch(X1,X4,euclid2(X1,X2,X3,X4,X5),X1,X0) = X1
| ~ between(X2,X3,X4)
| ~ between(X1,X3,X5)
| X1 = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f207,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(X0,X1,euclid2(X1,X2,X3,X4,X5))
| inner_pasch(X1,X4,euclid2(X1,X2,X3,X4,X5),X1,X0) = X1
| ~ between(X2,X3,X4)
| ~ between(X1,X3,X5)
| X1 = X3 )
| ~ spl0_18
| ~ spl0_31 ),
inference(resolution,[],[f195,f110]) ).
fof(f677,plain,
( spl0_80
| ~ spl0_17
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f206,f194,f105,f675]) ).
fof(f675,plain,
( spl0_80
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ between(X0,X1,euclid1(X1,X2,X3,X4,X5))
| inner_pasch(X1,X2,euclid1(X1,X2,X3,X4,X5),X1,X0) = X1
| ~ between(X2,X3,X4)
| ~ between(X1,X3,X5)
| X1 = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f206,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(X0,X1,euclid1(X1,X2,X3,X4,X5))
| inner_pasch(X1,X2,euclid1(X1,X2,X3,X4,X5),X1,X0) = X1
| ~ between(X2,X3,X4)
| ~ between(X1,X3,X5)
| X1 = X3 )
| ~ spl0_17
| ~ spl0_31 ),
inference(resolution,[],[f195,f106]) ).
fof(f673,plain,
( spl0_79
| ~ spl0_18
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f200,f190,f109,f671]) ).
fof(f200,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(X0,X1,euclid2(X2,X3,X4,X0,X5))
| inner_pasch(X2,X0,euclid2(X2,X3,X4,X0,X5),X1,X0) = X0
| ~ between(X3,X4,X0)
| ~ between(X2,X4,X5)
| X2 = X4 )
| ~ spl0_18
| ~ spl0_30 ),
inference(resolution,[],[f191,f110]) ).
fof(f669,plain,
( spl0_78
| ~ spl0_17
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f199,f190,f105,f667]) ).
fof(f199,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(X0,X1,euclid1(X2,X0,X3,X4,X5))
| inner_pasch(X2,X0,euclid1(X2,X0,X3,X4,X5),X1,X0) = X0
| ~ between(X0,X3,X4)
| ~ between(X2,X3,X5)
| X2 = X3 )
| ~ spl0_17
| ~ spl0_30 ),
inference(resolution,[],[f191,f106]) ).
fof(f654,plain,
( spl0_77
| ~ spl0_31
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f230,f226,f194,f652]) ).
fof(f230,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X0,X3,X1)
| ~ between(X0,X0,X1)
| ~ between(X4,X0,X2)
| inner_pasch(X0,continuous(X0,X0,X0,X3,X1,X2),X2,X0,X4) = X0 )
| ~ spl0_31
| ~ spl0_34 ),
inference(resolution,[],[f227,f195]) ).
fof(f632,plain,
( spl0_76
| ~ spl0_31
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f223,f216,f194,f630]) ).
fof(f223,plain,
( ! [X2,X3,X0,X1] :
( ~ equidistant(v,X0,v,X1)
| ~ between(w,X2,X0)
| ~ between(v,w,X0)
| ~ between(X3,w1,X1)
| w1 = inner_pasch(w1,continuous(v,w,w1,X2,X0,X1),X1,w1,X3) )
| ~ spl0_31
| ~ spl0_33 ),
inference(resolution,[],[f217,f195]) ).
fof(f628,plain,
( spl0_75
| ~ spl0_27
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f371,f354,f169,f625]) ).
fof(f371,plain,
( equidistant(w,v,w1,v)
| ~ spl0_27
| ~ spl0_50 ),
inference(resolution,[],[f356,f170]) ).
fof(f623,plain,
( spl0_74
| ~ spl0_31
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f220,f212,f194,f621]) ).
fof(f220,plain,
( ! [X2,X3,X0,X1] :
( ~ equidistant(u,X0,u,X1)
| ~ between(w,X2,X0)
| ~ between(u,w,X0)
| ~ between(X3,w1,X1)
| w1 = inner_pasch(w1,continuous(u,w,w1,X2,X0,X1),X1,w1,X3) )
| ~ spl0_31
| ~ spl0_32 ),
inference(resolution,[],[f213,f195]) ).
fof(f608,plain,
( spl0_73
| ~ spl0_22
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f175,f169,f129,f606]) ).
fof(f175,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( equidistant(X0,continuous(X0,X1,X2,X3,X4,X5),X3,X0)
| ~ between(X0,X1,X4)
| ~ equidistant(X0,X4,X0,X5)
| ~ equidistant(X0,X1,X0,X2)
| ~ between(X1,X3,X4) )
| ~ spl0_22
| ~ spl0_27 ),
inference(resolution,[],[f170,f130]) ).
fof(f584,plain,
( spl0_72
| ~ spl0_22
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f167,f159,f129,f582]) ).
fof(f167,plain,
( ! [X2,X3,X0,X1] :
( equidistant(v,continuous(v,X0,X1,w,X2,X3),v,w1)
| ~ between(v,X0,X2)
| ~ equidistant(v,X2,v,X3)
| ~ equidistant(v,X0,v,X1)
| ~ between(X0,w,X2) )
| ~ spl0_22
| ~ spl0_26 ),
inference(resolution,[],[f160,f130]) ).
fof(f580,plain,
( spl0_71
| ~ spl0_22
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f164,f155,f129,f578]) ).
fof(f164,plain,
( ! [X2,X3,X0,X1] :
( equidistant(u,continuous(u,X0,X1,w,X2,X3),u,w1)
| ~ between(u,X0,X2)
| ~ equidistant(u,X2,u,X3)
| ~ equidistant(u,X0,u,X1)
| ~ between(X0,w,X2) )
| ~ spl0_22
| ~ spl0_25 ),
inference(resolution,[],[f156,f130]) ).
fof(f562,plain,
( spl0_70
| ~ spl0_19
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f318,f311,f113,f560]) ).
fof(f318,plain,
( ! [X2,X3,X1,X6,X4,X5] :
( ~ equidistant(X3,X1,X4,X2)
| ~ between(X3,X1,X5)
| X1 = X3
| ~ between(X4,X2,X6)
| ~ equidistant(X1,X5,X2,X6)
| equidistant(X5,X1,X6,X2) )
| ~ spl0_19
| ~ spl0_44 ),
inference(duplicate_literal_removal,[],[f317]) ).
fof(f317,plain,
( ! [X2,X3,X1,X6,X4,X5] :
( ~ equidistant(X3,X1,X4,X2)
| ~ between(X3,X1,X5)
| X1 = X3
| ~ between(X4,X2,X6)
| ~ equidistant(X1,X5,X2,X6)
| ~ equidistant(X3,X1,X4,X2)
| equidistant(X5,X1,X6,X2) )
| ~ spl0_19
| ~ spl0_44 ),
inference(superposition,[],[f312,f114]) ).
fof(f546,plain,
( spl0_69
| ~ spl0_27
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f367,f349,f169,f543]) ).
fof(f367,plain,
( equidistant(w,u,w1,u)
| ~ spl0_27
| ~ spl0_49 ),
inference(resolution,[],[f351,f170]) ).
fof(f529,plain,
( spl0_68
| ~ spl0_16
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f209,f194,f99,f527]) ).
fof(f209,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(X0,X1,X2)
| inner_pasch(X1,inner_pasch(X2,X3,X4,X1,X5),X2,X1,X0) = X1
| ~ between(X5,X1,X4)
| ~ between(X2,X3,X4) )
| ~ spl0_16
| ~ spl0_31 ),
inference(resolution,[],[f195,f100]) ).
fof(f525,plain,
( spl0_67
| ~ spl0_15
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f208,f194,f95,f523]) ).
fof(f208,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(X0,X1,X2)
| inner_pasch(X1,inner_pasch(X3,X1,X4,X5,X2),X2,X1,X0) = X1
| ~ between(X2,X5,X4)
| ~ between(X3,X1,X4) )
| ~ spl0_15
| ~ spl0_31 ),
inference(resolution,[],[f195,f96]) ).
fof(f514,plain,
( spl0_66
| ~ spl0_10
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f229,f226,f69,f512]) ).
fof(f229,plain,
( ! [X2,X0,X1] :
( ~ equidistant(X0,X1,X0,X0)
| ~ between(X0,X2,X1)
| ~ between(X0,X0,X1)
| continuous(X0,X0,X0,X2,X1,X0) = X0 )
| ~ spl0_10
| ~ spl0_34 ),
inference(resolution,[],[f227,f70]) ).
fof(f504,plain,
( spl0_65
| ~ spl0_10
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f222,f216,f69,f502]) ).
fof(f222,plain,
( ! [X0,X1] :
( ~ equidistant(v,X0,v,w1)
| ~ between(w,X1,X0)
| ~ between(v,w,X0)
| w1 = continuous(v,w,w1,X1,X0,w1) )
| ~ spl0_10
| ~ spl0_33 ),
inference(resolution,[],[f217,f70]) ).
fof(f500,plain,
( spl0_64
| ~ spl0_10
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f219,f212,f69,f498]) ).
fof(f219,plain,
( ! [X0,X1] :
( ~ equidistant(u,X0,u,w1)
| ~ between(w,X1,X0)
| ~ between(u,w,X0)
| w1 = continuous(u,w,w1,X1,X0,w1) )
| ~ spl0_10
| ~ spl0_32 ),
inference(resolution,[],[f213,f70]) ).
fof(f494,plain,
( spl0_63
| ~ spl0_27
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f363,f327,f169,f491]) ).
fof(f363,plain,
( equidistant(v,w1,v,w)
| ~ spl0_27
| ~ spl0_46 ),
inference(resolution,[],[f329,f170]) ).
fof(f480,plain,
( spl0_62
| ~ spl0_12
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f205,f194,f77,f478]) ).
fof(f478,plain,
( spl0_62
<=> ! [X4,X0,X3,X2,X1] :
( ~ between(X0,X1,extension(X1,X2,X3,X4))
| inner_pasch(X1,X2,extension(X1,X2,X3,X4),X1,X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f205,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ between(X0,X1,extension(X1,X2,X3,X4))
| inner_pasch(X1,X2,extension(X1,X2,X3,X4),X1,X0) = X1 )
| ~ spl0_12
| ~ spl0_31 ),
inference(resolution,[],[f195,f78]) ).
fof(f476,plain,
( spl0_61
| ~ spl0_12
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f198,f190,f77,f474]) ).
fof(f198,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ between(X0,X1,extension(X2,X0,X3,X4))
| inner_pasch(X2,X0,extension(X2,X0,X3,X4),X1,X0) = X0 )
| ~ spl0_12
| ~ spl0_30 ),
inference(resolution,[],[f191,f78]) ).
fof(f468,plain,
( spl0_60
| ~ spl0_7
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f245,f242,f55,f466]) ).
fof(f466,plain,
( spl0_60
<=> ! [X0] :
( ~ equidistant(X0,w,X0,w1)
| between(v,X0,u)
| between(X0,u,v)
| between(u,v,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f242,plain,
( spl0_36
<=> ! [X0,X1] :
( between(v,X0,X1)
| ~ equidistant(X0,w,X0,w1)
| ~ equidistant(X1,w,X1,w1)
| between(X0,X1,v)
| between(X1,v,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f245,plain,
( ! [X0] :
( ~ equidistant(X0,w,X0,w1)
| between(v,X0,u)
| between(X0,u,v)
| between(u,v,X0) )
| ~ spl0_7
| ~ spl0_36 ),
inference(resolution,[],[f243,f57]) ).
fof(f243,plain,
( ! [X0,X1] :
( ~ equidistant(X1,w,X1,w1)
| ~ equidistant(X0,w,X0,w1)
| between(v,X0,X1)
| between(X0,X1,v)
| between(X1,v,X0) )
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f464,plain,
( spl0_59
| ~ spl0_8
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f240,f236,f60,f462]) ).
fof(f462,plain,
( spl0_59
<=> ! [X0] :
( ~ equidistant(X0,w,X0,w1)
| between(u,X0,v)
| between(X0,v,u)
| between(v,u,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f236,plain,
( spl0_35
<=> ! [X0,X1] :
( between(u,X0,X1)
| ~ equidistant(X0,w,X0,w1)
| ~ equidistant(X1,w,X1,w1)
| between(X0,X1,u)
| between(X1,u,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f240,plain,
( ! [X0] :
( ~ equidistant(X0,w,X0,w1)
| between(u,X0,v)
| between(X0,v,u)
| between(v,u,X0) )
| ~ spl0_8
| ~ spl0_35 ),
inference(resolution,[],[f237,f62]) ).
fof(f237,plain,
( ! [X0,X1] :
( ~ equidistant(X1,w,X1,w1)
| ~ equidistant(X0,w,X0,w1)
| between(u,X0,X1)
| between(X0,X1,u)
| between(X1,u,X0) )
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f456,plain,
( spl0_58
| ~ spl0_3
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f204,f194,f35,f454]) ).
fof(f204,plain,
( ! [X0] :
( ~ between(X0,u,w)
| u = inner_pasch(u,v,w,u,X0) )
| ~ spl0_3
| ~ spl0_31 ),
inference(resolution,[],[f195,f37]) ).
fof(f452,plain,
( spl0_57
| ~ spl0_27
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f359,f276,f169,f449]) ).
fof(f359,plain,
( equidistant(u,w1,u,w)
| ~ spl0_27
| ~ spl0_40 ),
inference(resolution,[],[f278,f170]) ).
fof(f447,plain,
( spl0_56
| ~ spl0_3
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f197,f190,f35,f445]) ).
fof(f197,plain,
( ! [X0] :
( ~ between(v,X0,w)
| v = inner_pasch(u,v,w,X0,v) )
| ~ spl0_3
| ~ spl0_30 ),
inference(resolution,[],[f191,f37]) ).
fof(f436,plain,
( spl0_55
| ~ spl0_19
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f184,f178,f113,f434]) ).
fof(f184,plain,
( ! [X2,X3,X1,X4] :
( ~ equidistant(X1,X1,X3,X4)
| equidistant(X3,X4,X2,X2) )
| ~ spl0_19
| ~ spl0_28 ),
inference(superposition,[],[f179,f114]) ).
fof(f414,plain,
( spl0_54
| ~ spl0_9
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f182,f178,f65,f412]) ).
fof(f182,plain,
( ! [X2,X3,X0,X1] : equidistant(extension(X0,X1,X2,X3),X1,X2,X3)
| ~ spl0_9
| ~ spl0_28 ),
inference(resolution,[],[f179,f66]) ).
fof(f410,plain,
( spl0_53
| ~ spl0_13
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f176,f169,f82,f408]) ).
fof(f176,plain,
( ! [X2,X3,X0,X1] : equidistant(X0,X1,extension(X2,X3,X0,X1),X3)
| ~ spl0_13
| ~ spl0_27 ),
inference(resolution,[],[f170,f83]) ).
fof(f381,plain,
( spl0_52
| ~ spl0_9
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f174,f169,f65,f379]) ).
fof(f174,plain,
( ! [X0,X1] : equidistant(X0,X1,X0,X1)
| ~ spl0_9
| ~ spl0_27 ),
inference(resolution,[],[f170,f66]) ).
fof(f377,plain,
( spl0_51
| ~ spl0_13
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f143,f113,f82,f375]) ).
fof(f143,plain,
( ! [X2,X1] : equidistant(X1,X1,X2,X2)
| ~ spl0_13
| ~ spl0_19 ),
inference(superposition,[],[f83,f114]) ).
fof(f357,plain,
( spl0_50
| ~ spl0_8
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f173,f169,f60,f354]) ).
fof(f173,plain,
( equidistant(v,w1,w,v)
| ~ spl0_8
| ~ spl0_27 ),
inference(resolution,[],[f170,f62]) ).
fof(f352,plain,
( spl0_49
| ~ spl0_7
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f172,f169,f55,f349]) ).
fof(f172,plain,
( equidistant(u,w1,w,u)
| ~ spl0_7
| ~ spl0_27 ),
inference(resolution,[],[f170,f57]) ).
fof(f338,plain,
( spl0_48
| ~ spl0_22
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f152,f146,f129,f336]) ).
fof(f152,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ between(X0,X1,X2)
| ~ between(X3,X1,X4)
| X1 = X3
| ~ equidistant(X3,X5,X0,continuous(X1,X6,X7,X5,X8,X9))
| ~ equidistant(X1,X4,X1,X2)
| ~ equidistant(X3,X1,X0,X1)
| equidistant(X4,X5,X2,continuous(X1,X6,X7,X5,X8,X9))
| ~ between(X1,X6,X8)
| ~ equidistant(X1,X8,X1,X9)
| ~ equidistant(X1,X6,X1,X7)
| ~ between(X6,X5,X8) )
| ~ spl0_22
| ~ spl0_24 ),
inference(resolution,[],[f147,f130]) ).
fof(f334,plain,
( spl0_47
| ~ spl0_22
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f141,f135,f129,f332]) ).
fof(f141,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( between(X0,X1,X2)
| between(X2,X0,X1)
| between(X1,X2,X0)
| continuous(X0,X3,X4,X5,X6,X7) = X5
| ~ equidistant(X2,X5,X2,continuous(X0,X3,X4,X5,X6,X7))
| ~ equidistant(X1,X5,X1,continuous(X0,X3,X4,X5,X6,X7))
| ~ between(X0,X3,X6)
| ~ equidistant(X0,X6,X0,X7)
| ~ equidistant(X0,X3,X0,X4)
| ~ between(X3,X5,X6) )
| ~ spl0_22
| ~ spl0_23 ),
inference(resolution,[],[f136,f130]) ).
fof(f330,plain,
( spl0_46
| ~ spl0_9
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f166,f159,f65,f327]) ).
fof(f166,plain,
( equidistant(w,v,v,w1)
| ~ spl0_9
| ~ spl0_26 ),
inference(resolution,[],[f160,f66]) ).
fof(f322,plain,
( spl0_45
| ~ spl0_21
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f133,f129,f121,f320]) ).
fof(f133,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ between(X0,X1,X2)
| ~ equidistant(X0,X2,X0,X3)
| ~ equidistant(X0,X1,X0,X4)
| ~ between(X1,X5,X2)
| ~ between(X0,X5,X6)
| ~ equidistant(X0,X6,X0,X7)
| ~ between(X5,X8,X6)
| between(continuous(X0,X1,X4,X5,X2,X3),continuous(X0,X5,continuous(X0,X1,X4,X5,X2,X3),X8,X6,X7),X7) )
| ~ spl0_21
| ~ spl0_22 ),
inference(resolution,[],[f130,f122]) ).
fof(f313,plain,
( spl0_44
| ~ spl0_13
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f153,f146,f82,f311]) ).
fof(f153,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ between(X0,X1,X2)
| ~ between(X3,X4,X5)
| X3 = X4
| ~ equidistant(X3,extension(X6,X4,X1,X7),X0,X7)
| ~ equidistant(X4,X5,X1,X2)
| ~ equidistant(X3,X4,X0,X1)
| equidistant(X5,extension(X6,X4,X1,X7),X2,X7) )
| ~ spl0_13
| ~ spl0_24 ),
inference(resolution,[],[f147,f83]) ).
fof(f306,plain,
( spl0_43
| ~ spl0_13
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f142,f135,f82,f304]) ).
fof(f142,plain,
( ! [X2,X3,X0,X1,X4] :
( between(X0,X1,X2)
| between(X2,X0,X1)
| between(X1,X2,X0)
| extension(X4,X0,X0,X3) = X3
| ~ equidistant(X2,extension(X4,X0,X0,X3),X2,X3)
| ~ equidistant(X1,extension(X4,X0,X0,X3),X1,X3) )
| ~ spl0_13
| ~ spl0_23 ),
inference(resolution,[],[f136,f83]) ).
fof(f298,plain,
( spl0_42
| ~ spl0_13
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f127,f121,f82,f296]) ).
fof(f127,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(X0,extension(X1,X0,X0,X2),X3)
| ~ equidistant(X0,X3,X0,X4)
| ~ between(extension(X1,X0,X0,X2),X5,X3)
| between(X2,continuous(X0,extension(X1,X0,X0,X2),X2,X5,X3,X4),X4) )
| ~ spl0_13
| ~ spl0_21 ),
inference(resolution,[],[f122,f83]) ).
fof(f283,plain,
( spl0_41
| ~ spl0_14
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f132,f129,f87,f281]) ).
fof(f132,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ between(X0,X1,X2)
| ~ equidistant(X0,X2,X0,X3)
| ~ equidistant(X0,X1,X0,X4)
| ~ between(X1,X5,X2)
| ~ equidistant(X0,X5,X6,X7)
| equidistant(X6,X7,X0,continuous(X0,X1,X4,X5,X2,X3)) )
| ~ spl0_14
| ~ spl0_22 ),
inference(resolution,[],[f130,f88]) ).
fof(f279,plain,
( spl0_40
| ~ spl0_9
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f163,f155,f65,f276]) ).
fof(f163,plain,
( equidistant(w,u,u,w1)
| ~ spl0_9
| ~ spl0_25 ),
inference(resolution,[],[f156,f66]) ).
fof(f266,plain,
( spl0_39
| ~ spl0_9
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f151,f146,f65,f264]) ).
fof(f151,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(X0,X1,X2)
| ~ between(X3,X4,X5)
| X3 = X4
| ~ equidistant(X3,X1,X0,X4)
| ~ equidistant(X4,X5,X1,X2)
| ~ equidistant(X3,X4,X0,X1)
| equidistant(X5,X1,X2,X4) )
| ~ spl0_9
| ~ spl0_24 ),
inference(resolution,[],[f147,f66]) ).
fof(f254,plain,
( spl0_38
| ~ spl0_8
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f150,f146,f60,f252]) ).
fof(f150,plain,
( ! [X2,X3,X0,X1] :
( ~ between(X0,v,X1)
| ~ between(X2,v,X3)
| v = X2
| ~ equidistant(X2,w,X0,w1)
| ~ equidistant(v,X3,v,X1)
| ~ equidistant(X2,v,X0,v)
| equidistant(X3,w,X1,w1) )
| ~ spl0_8
| ~ spl0_24 ),
inference(resolution,[],[f147,f62]) ).
fof(f250,plain,
( spl0_37
| ~ spl0_7
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f149,f146,f55,f248]) ).
fof(f149,plain,
( ! [X2,X3,X0,X1] :
( ~ between(X0,u,X1)
| ~ between(X2,u,X3)
| u = X2
| ~ equidistant(X2,w,X0,w1)
| ~ equidistant(u,X3,u,X1)
| ~ equidistant(X2,u,X0,u)
| equidistant(X3,w,X1,w1) )
| ~ spl0_7
| ~ spl0_24 ),
inference(resolution,[],[f147,f57]) ).
fof(f244,plain,
( spl0_1
| spl0_36
| ~ spl0_8
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f139,f135,f60,f242,f25]) ).
fof(f139,plain,
( ! [X0,X1] :
( between(v,X0,X1)
| between(X1,v,X0)
| between(X0,X1,v)
| w = w1
| ~ equidistant(X1,w,X1,w1)
| ~ equidistant(X0,w,X0,w1) )
| ~ spl0_8
| ~ spl0_23 ),
inference(resolution,[],[f136,f62]) ).
fof(f238,plain,
( spl0_1
| spl0_35
| ~ spl0_7
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f138,f135,f55,f236,f25]) ).
fof(f138,plain,
( ! [X0,X1] :
( between(u,X0,X1)
| between(X1,u,X0)
| between(X0,X1,u)
| w = w1
| ~ equidistant(X1,w,X1,w1)
| ~ equidistant(X0,w,X0,w1) )
| ~ spl0_7
| ~ spl0_23 ),
inference(resolution,[],[f136,f57]) ).
fof(f228,plain,
( spl0_34
| ~ spl0_9
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f126,f121,f65,f226]) ).
fof(f126,plain,
( ! [X2,X3,X0,X1] :
( ~ between(X0,X0,X1)
| ~ equidistant(X0,X1,X0,X2)
| ~ between(X0,X3,X1)
| between(X0,continuous(X0,X0,X0,X3,X1,X2),X2) )
| ~ spl0_9
| ~ spl0_21 ),
inference(resolution,[],[f122,f66]) ).
fof(f218,plain,
( spl0_33
| ~ spl0_8
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f125,f121,f60,f216]) ).
fof(f125,plain,
( ! [X2,X0,X1] :
( ~ between(v,w,X0)
| ~ equidistant(v,X0,v,X1)
| ~ between(w,X2,X0)
| between(w1,continuous(v,w,w1,X2,X0,X1),X1) )
| ~ spl0_8
| ~ spl0_21 ),
inference(resolution,[],[f122,f62]) ).
fof(f214,plain,
( spl0_32
| ~ spl0_7
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f124,f121,f55,f212]) ).
fof(f124,plain,
( ! [X2,X0,X1] :
( ~ between(u,w,X0)
| ~ equidistant(u,X0,u,X1)
| ~ between(w,X2,X0)
| between(w1,continuous(u,w,w1,X2,X0,X1),X1) )
| ~ spl0_7
| ~ spl0_21 ),
inference(resolution,[],[f122,f57]) ).
fof(f196,plain,
( spl0_31
| ~ spl0_10
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f103,f99,f69,f194]) ).
fof(f103,plain,
( ! [X2,X3,X0,X1] :
( ~ between(X0,X1,X2)
| ~ between(X1,X3,X2)
| inner_pasch(X1,X3,X2,X1,X0) = X1 )
| ~ spl0_10
| ~ spl0_16 ),
inference(resolution,[],[f100,f70]) ).
fof(f192,plain,
( spl0_30
| ~ spl0_10
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f102,f95,f69,f190]) ).
fof(f102,plain,
( ! [X2,X3,X0,X1] :
( ~ between(X0,X1,X2)
| ~ between(X3,X0,X2)
| inner_pasch(X3,X0,X2,X1,X0) = X0 )
| ~ spl0_10
| ~ spl0_15 ),
inference(resolution,[],[f96,f70]) ).
fof(f188,plain,
( spl0_29
| ~ spl0_12
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f144,f113,f77,f186]) ).
fof(f144,plain,
( ! [X0,X1] : between(X0,X1,X1)
| ~ spl0_12
| ~ spl0_19 ),
inference(superposition,[],[f78,f114]) ).
fof(f180,plain,
( spl0_28
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f93,f87,f82,f178]) ).
fof(f93,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,extension(X1,X0,X2,X3),X4,X5)
| equidistant(X4,X5,X2,X3) )
| ~ spl0_13
| ~ spl0_14 ),
inference(resolution,[],[f88,f83]) ).
fof(f171,plain,
( spl0_27
| ~ spl0_9
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f92,f87,f65,f169]) ).
fof(f92,plain,
( ! [X2,X3,X0,X1] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,X1,X0) )
| ~ spl0_9
| ~ spl0_14 ),
inference(resolution,[],[f88,f66]) ).
fof(f161,plain,
( spl0_26
| ~ spl0_8
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f91,f87,f60,f159]) ).
fof(f91,plain,
( ! [X0,X1] :
( ~ equidistant(v,w,X0,X1)
| equidistant(X0,X1,v,w1) )
| ~ spl0_8
| ~ spl0_14 ),
inference(resolution,[],[f88,f62]) ).
fof(f157,plain,
( spl0_25
| ~ spl0_7
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f90,f87,f55,f155]) ).
fof(f90,plain,
( ! [X0,X1] :
( ~ equidistant(u,w,X0,X1)
| equidistant(X0,X1,u,w1) )
| ~ spl0_7
| ~ spl0_14 ),
inference(resolution,[],[f88,f57]) ).
fof(f148,plain,
spl0_24,
inference(avatar_split_clause,[],[f6,f146]) ).
fof(f6,axiom,
! [X2,X3,X0,X1,X8,X6,X9,X7] :
( X0 = X1
| ~ between(X6,X7,X8)
| ~ between(X0,X1,X2)
| ~ equidistant(X1,X3,X7,X9)
| ~ equidistant(X0,X3,X6,X9)
| ~ equidistant(X1,X2,X7,X8)
| ~ equidistant(X0,X1,X6,X7)
| equidistant(X2,X3,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',outer_five_segment) ).
fof(f137,plain,
spl0_23,
inference(avatar_split_clause,[],[f13,f135]) ).
fof(f13,axiom,
! [X2,X3,X0,X1,X5] :
( X3 = X5
| between(X2,X0,X1)
| between(X1,X2,X0)
| between(X0,X1,X2)
| ~ equidistant(X2,X5,X2,X3)
| ~ equidistant(X1,X5,X1,X3)
| ~ equidistant(X0,X5,X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',upper_dimension) ).
fof(f131,plain,
spl0_22,
inference(avatar_split_clause,[],[f18,f129]) ).
fof(f18,axiom,
! [X3,X10,X0,X6,X9,X5] :
( ~ between(X3,X5,X0)
| ~ between(X10,X3,X0)
| ~ equidistant(X10,X0,X10,X6)
| ~ equidistant(X10,X3,X10,X9)
| equidistant(X10,X5,X10,continuous(X10,X3,X9,X5,X0,X6)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',continuity2) ).
fof(f123,plain,
spl0_21,
inference(avatar_split_clause,[],[f17,f121]) ).
fof(f17,axiom,
! [X3,X10,X0,X6,X9,X5] :
( ~ between(X3,X5,X0)
| ~ between(X10,X3,X0)
| ~ equidistant(X10,X0,X10,X6)
| ~ equidistant(X10,X3,X10,X9)
| between(X9,continuous(X10,X3,X9,X5,X0,X6),X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',continuity1) ).
fof(f119,plain,
spl0_20,
inference(avatar_split_clause,[],[f16,f117]) ).
fof(f16,axiom,
! [X3,X10,X0,X1,X5] :
( X5 = X10
| ~ between(X3,X5,X0)
| ~ between(X10,X5,X1)
| between(euclid1(X10,X3,X5,X0,X1),X1,euclid2(X10,X3,X5,X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',euclid3) ).
fof(f115,plain,
( spl0_19
| ~ spl0_11
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f85,f82,f73,f113]) ).
fof(f85,plain,
( ! [X2,X0,X1] : extension(X1,X0,X2,X2) = X0
| ~ spl0_11
| ~ spl0_13 ),
inference(resolution,[],[f83,f74]) ).
fof(f111,plain,
spl0_18,
inference(avatar_split_clause,[],[f15,f109]) ).
fof(f15,axiom,
! [X3,X10,X0,X1,X5] :
( X5 = X10
| ~ between(X3,X5,X0)
| ~ between(X10,X5,X1)
| between(X10,X0,euclid2(X10,X3,X5,X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',euclid2) ).
fof(f107,plain,
spl0_17,
inference(avatar_split_clause,[],[f14,f105]) ).
fof(f14,axiom,
! [X3,X10,X0,X1,X5] :
( X5 = X10
| ~ between(X3,X5,X0)
| ~ between(X10,X5,X1)
| between(X10,X3,euclid1(X10,X3,X5,X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',euclid1) ).
fof(f101,plain,
spl0_16,
inference(avatar_split_clause,[],[f9,f99]) ).
fof(f9,axiom,
! [X3,X10,X0,X1,X5] :
( ~ between(X10,X3,X5)
| ~ between(X1,X0,X5)
| between(X0,inner_pasch(X10,X3,X5,X0,X1),X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inner_pasch2) ).
fof(f97,plain,
spl0_15,
inference(avatar_split_clause,[],[f8,f95]) ).
fof(f8,axiom,
! [X3,X10,X0,X1,X5] :
( ~ between(X10,X3,X5)
| ~ between(X1,X0,X5)
| between(X3,inner_pasch(X10,X3,X5,X0,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inner_pasch1) ).
fof(f89,plain,
spl0_14,
inference(avatar_split_clause,[],[f2,f87]) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(X0,X1,X4,X5)
| equidistant(X2,X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_for_equidistance) ).
fof(f84,plain,
spl0_13,
inference(avatar_split_clause,[],[f5,f82]) ).
fof(f5,axiom,
! [X3,X0,X1,X5] : equidistant(X1,extension(X0,X1,X5,X3),X5,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',segment_construction2) ).
fof(f79,plain,
spl0_12,
inference(avatar_split_clause,[],[f4,f77]) ).
fof(f4,axiom,
! [X3,X0,X1,X5] : between(X0,X1,extension(X0,X1,X5,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',segment_construction1) ).
fof(f75,plain,
spl0_11,
inference(avatar_split_clause,[],[f3,f73]) ).
fof(f3,axiom,
! [X2,X0,X1] :
( X0 = X1
| ~ equidistant(X0,X1,X2,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_for_equidistance) ).
fof(f71,plain,
spl0_10,
inference(avatar_split_clause,[],[f7,f69]) ).
fof(f7,axiom,
! [X0,X1] :
( X0 = X1
| ~ between(X0,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_for_betweeness) ).
fof(f67,plain,
spl0_9,
inference(avatar_split_clause,[],[f1,f65]) ).
fof(f1,axiom,
! [X0,X1] : equidistant(X0,X1,X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_for_equidistance) ).
fof(f63,plain,
spl0_8,
inference(avatar_split_clause,[],[f21,f60]) ).
fof(f21,axiom,
equidistant(v,w,v,w1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_to_w_equals_v_to_w1) ).
fof(f58,plain,
spl0_7,
inference(avatar_split_clause,[],[f20,f55]) ).
fof(f20,axiom,
equidistant(u,w,u,w1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_to_w_equals_u_to_w1) ).
fof(f53,plain,
~ spl0_6,
inference(avatar_split_clause,[],[f12,f50]) ).
fof(f50,plain,
( spl0_6
<=> between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f12,axiom,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lower_dimension3) ).
fof(f48,plain,
~ spl0_5,
inference(avatar_split_clause,[],[f11,f45]) ).
fof(f45,plain,
( spl0_5
<=> between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f11,axiom,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lower_dimension2) ).
fof(f43,plain,
~ spl0_4,
inference(avatar_split_clause,[],[f10,f40]) ).
fof(f40,plain,
( spl0_4
<=> between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f10,axiom,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lower_dimension1) ).
fof(f38,plain,
spl0_3,
inference(avatar_split_clause,[],[f19,f35]) ).
fof(f19,axiom,
between(u,v,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_w) ).
fof(f33,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f22,f30]) ).
fof(f22,axiom,
u != v,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_not_v) ).
fof(f28,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f23,f25]) ).
fof(f23,axiom,
w != w1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_w_is_w1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GEO030-2 : TPTP v8.1.2. Released v1.0.0.
% 0.04/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n020.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 05:36:02 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (17933)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.39 % (17936)WARNING: value z3 for option sas not known
% 0.22/0.39 % (17934)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.39 % (17939)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.22/0.39 % (17938)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.22/0.39 % (17935)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.39 % (17937)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.39 % (17936)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.39 % (17940)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.22/0.39 TRYING [1]
% 0.22/0.39 TRYING [2]
% 0.22/0.40 TRYING [3]
% 0.22/0.40 TRYING [1]
% 0.22/0.40 TRYING [2]
% 0.22/0.45 TRYING [4]
% 0.22/0.52 TRYING [3]
% 1.44/0.62 TRYING [1]
% 1.44/0.62 TRYING [2]
% 1.44/0.63 TRYING [3]
% 2.24/0.70 TRYING [4]
% 4.34/1.01 TRYING [5]
% 4.78/1.06 TRYING [4]
% 7.02/1.43 TRYING [5]
% 16.74/2.77 % (17938)First to succeed.
% 16.74/2.82 % (17938)Refutation found. Thanks to Tanya!
% 16.74/2.82 % SZS status Unsatisfiable for theBenchmark
% 16.74/2.82 % SZS output start Proof for theBenchmark
% See solution above
% 16.74/2.84 % (17938)------------------------------
% 16.74/2.84 % (17938)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 16.74/2.84 % (17938)Termination reason: Refutation
% 16.74/2.84
% 16.74/2.84 % (17938)Memory used [KB]: 22746
% 16.74/2.84 % (17938)Time elapsed: 2.433 s
% 16.74/2.84 % (17938)Instructions burned: 5682 (million)
% 16.74/2.84 % (17938)------------------------------
% 16.74/2.84 % (17938)------------------------------
% 16.74/2.84 % (17933)Success in time 2.468 s
%------------------------------------------------------------------------------