TSTP Solution File: GEO343+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO343+1 : TPTP v8.1.2. Released v4.1.0.
% 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 11:16:24 EDT 2024
% Result : Theorem 11.41s 2.03s
% Output : Refutation 11.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 1062
% Syntax : Number of formulae : 4258 ( 315 unt; 0 def)
% Number of atoms : 31233 (8200 equ)
% Maximal formula atoms : 57 ( 7 avg)
% Number of connectives : 48024 (21049 ~;22862 |;2913 &)
% ( 921 <=>; 279 =>; 0 <=; 0 <~>)
% Maximal formula depth : 77 ( 11 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 907 ( 905 usr; 890 prp; 0-17 aty)
% Number of functors : 70 ( 70 usr; 15 con; 0-17 aty)
% Number of variables : 16359 (15583 !; 776 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f23602,plain,
$false,
inference(avatar_sat_refutation,[],[f1640,f1645,f1650,f1655,f1660,f1665,f1670,f1675,f1680,f1685,f1690,f1695,f1700,f1705,f1710,f1715,f1720,f1725,f1730,f1735,f1740,f1744,f1748,f1752,f1756,f1760,f1764,f1768,f1772,f1776,f1780,f1784,f1788,f1792,f1796,f1800,f1804,f1808,f1812,f1816,f1821,f1826,f1830,f1834,f1854,f1859,f1863,f1867,f1871,f1875,f1879,f1883,f1887,f1891,f1895,f1899,f1904,f1908,f1912,f1916,f1920,f1925,f1933,f1938,f1942,f1946,f1950,f1954,f1958,f1962,f1966,f1971,f1975,f1997,f2001,f2005,f2010,f2014,f2018,f2022,f2026,f2030,f2034,f2038,f2042,f2046,f2050,f2054,f2058,f2062,f2066,f2070,f2074,f2159,f2163,f2167,f2171,f2175,f2179,f2183,f2187,f2191,f2195,f2199,f2203,f2207,f2211,f2215,f2219,f2223,f2227,f2231,f2235,f2239,f2243,f2247,f2251,f2255,f2259,f2267,f2278,f2282,f2286,f2290,f2294,f2298,f2302,f2306,f2310,f2314,f2326,f2340,f2344,f2348,f2358,f2362,f2366,f2370,f2374,f2378,f2469,f2500,f2518,f2522,f2542,f2546,f2550,f2555,f2559,f2563,f2567,f2571,f2575,f2618,f2622,f2626,f2630,f2634,f2638,f2642,f2684,f2727,f2731,f2735,f2739,f2743,f2756,f2760,f2764,f2768,f2772,f2793,f2826,f2830,f2834,f2838,f2842,f2855,f2859,f2863,f2867,f2871,f2993,f3035,f3039,f3043,f3129,f3133,f3137,f3141,f3145,f3152,f3156,f3161,f3162,f3163,f3167,f3240,f3274,f3396,f3570,f3688,f3716,f3722,f3726,f3730,f3734,f3738,f3780,f3980,f4224,f4230,f4294,f4298,f4302,f4306,f4310,f4314,f4318,f4322,f4327,f4331,f4482,f4493,f4533,f4575,f4579,f4583,f4587,f4659,f4663,f4667,f4671,f4675,f4680,f4723,f4727,f4731,f4735,f4739,f4743,f4747,f4816,f4820,f4824,f4828,f4842,f4846,f4850,f4944,f4990,f4994,f5001,f5005,f5019,f5023,f5051,f5055,f5059,f5099,f5103,f5107,f5215,f5219,f5226,f5275,f5279,f5283,f5335,f5354,f5373,f5377,f5437,f5456,f5475,f5483,f5487,f5491,f5495,f5499,f5503,f5510,f5533,f5534,f5535,f5536,f5537,f6192,f6537,f6857,f7079,f7371,f7433,f7454,f7458,f7515,f7519,f7523,f7527,f7531,f7540,f7544,f7548,f7552,f7556,f7584,f7605,f7613,f7623,f7631,f7635,f7639,f7646,f7657,f7661,f7685,f7700,f7723,f7733,f7744,f7782,f7814,f7867,f8047,f8135,f8290,f8445,f8449,f8453,f8457,f8470,f8474,f8478,f8482,f8486,f8490,f8494,f8498,f8502,f8506,f8514,f8518,f8522,f8526,f8530,f8535,f8933,f9032,f9065,f9099,f9138,f9142,f9146,f9150,f9154,f9251,f9255,f9259,f9263,f9267,f9271,f9275,f9280,f9285,f9321,f9325,f9329,f9333,f9338,f9342,f9346,f9350,f9354,f9358,f9362,f9366,f9370,f9374,f9378,f9383,f9387,f9391,f9395,f9399,f9403,f9407,f9411,f9415,f9419,f9423,f9428,f9432,f9436,f9440,f9444,f9448,f9452,f9456,f9460,f9464,f9512,f9571,f10404,f10456,f10509,f10513,f10517,f10616,f10620,f10624,f10628,f10632,f10636,f10640,f10644,f10651,f10655,f10659,f10663,f10667,f10671,f10675,f10679,f10683,f10687,f10694,f10698,f10702,f10706,f10710,f10714,f10718,f10774,f10835,f10891,f10947,f11003,f11059,f11115,f11119,f11175,f11194,f11392,f11795,f11799,f11804,f11809,f11813,f11817,f11821,f11825,f11829,f11833,f11837,f11841,f11845,f11850,f11855,f11859,f11863,f11867,f11871,f11875,f11879,f11883,f11887,f11891,f11896,f11901,f11905,f11909,f11913,f11917,f11921,f11925,f11929,f11933,f11937,f11942,f11947,f11951,f11955,f12217,f12401,f12588,f12803,f12807,f12812,f12816,f12820,f12870,f12920,f12970,f13020,f13025,f13075,f13125,f13175,f13225,f13251,f13327,f13352,f13384,f13388,f13393,f13397,f13401,f13405,f13409,f13413,f13417,f13421,f13425,f13501,f13506,f13590,f13602,f13735,f14092,f14096,f14100,f14104,f14109,f14113,f14117,f14121,f14125,f14129,f14133,f14137,f14141,f14145,f14149,f14154,f14158,f14162,f14166,f14170,f14174,f14178,f14182,f14186,f14190,f14194,f14201,f14205,f14209,f14213,f14217,f14221,f14225,f14229,f14234,f14246,f14252,f14262,f14267,f14276,f14282,f14292,f14300,f14306,f14312,f14318,f14323,f14329,f14335,f14344,f14348,f14352,f14356,f14360,f14364,f14368,f14372,f14399,f14943,f14950,f15350,f15354,f15358,f15362,f15366,f15370,f15374,f15378,f15382,f15386,f15390,f15395,f15926,f15930,f15934,f15938,f15942,f15946,f15950,f15954,f15958,f15962,f15966,f15983,f15987,f17309,f17321,f17325,f17329,f17333,f17337,f17341,f17535,f17539,f17543,f17547,f17551,f17555,f17559,f17563,f17567,f17571,f17575,f17579,f17583,f17587,f17591,f17595,f17599,f17603,f17607,f17611,f17615,f17619,f17623,f17834,f18072,f18076,f18080,f18084,f18088,f18092,f18096,f18100,f18104,f18108,f18112,f18116,f18120,f18124,f18128,f18132,f18136,f18140,f18144,f18189,f18193,f18197,f18403,f18569,f18573,f18577,f18581,f18585,f18589,f18593,f18597,f18601,f18608,f18620,f18624,f18628,f18632,f18637,f18641,f18645,f18649,f18786,f18790,f18794,f18798,f18802,f19004,f19008,f19012,f19016,f19020,f19024,f19028,f19039,f19187,f19232,f19236,f19240,f19244,f19248,f19252,f19256,f19260,f19502,f19506,f19510,f19517,f19564,f19672,f19883,f19887,f19891,f19895,f20027,f20031,f20035,f20086,f20090,f20094,f20098,f20102,f20106,f20110,f20330,f20375,f20420,f20502,f20506,f20510,f20514,f20640,f20675,f20679,f20683,f20689,f20693,f20697,f20701,f20741,f20745,f20862,f20896,f20900,f20904,f20908,f20940,f20980,f21056,f21062,f21066,f21072,f21076,f21080,f21084,f21114,f21118,f21148,f21152,f21156,f21160,f21452,f21456,f21460,f21464,f21468,f21472,f21476,f21526,f21580,f21584,f21588,f21592,f21597,f21601,f21605,f21609,f21613,f21617,f21621,f21653,f21657,f21752,f21756,f21760,f21764,f21768,f21777,f22005,f22010,f22074,f22104,f22134,f22138,f22142,f22147,f22151,f22155,f22159,f22187,f22194,f22199,f22205,f22250,f22295,f22369,f22442,f22446,f22473,f22504,f22531,f22576,f22581,f22626,f22677,f22728,f22732,f22736,f22740,f22744,f22749,f22753,f22757,f22761,f22765,f22769,f22773,f22777,f22781,f22785,f22789,f22794,f22798,f22802,f22806,f22810,f22814,f22818,f22822,f22826,f22830,f22858,f23093,f23328,f23401,f23409,f23417,f23421,f23425,f23430,f23434,f23438,f23442,f23446,f23450,f23454,f23458,f23462,f23466,f23470,f23475,f23479,f23483,f23487,f23491,f23495,f23499,f23503,f23507,f23511,f23515,f23520,f23524,f23528,f23532,f23536,f23540,f23544,f23548,f23552,f23556,f23560,f23564,f23568,f23572,f23576,f23580,f23584,f23588,f23592,f23596,f23600,f23601]) ).
fof(f23601,plain,
( ~ spl57_11
| ~ spl57_20
| spl57_15
| ~ spl57_4
| ~ spl57_804 ),
inference(avatar_split_clause,[],[f22448,f22444,f1652,f1707,f1732,f1687]) ).
fof(f1687,plain,
( spl57_11
<=> rpoint(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_11])]) ).
fof(f1732,plain,
( spl57_20
<=> ron(sK6,vd1416) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_20])]) ).
fof(f1707,plain,
( spl57_15
<=> sK6 = sK8 ),
introduced(avatar_definition,[new_symbols(naming,[spl57_15])]) ).
fof(f1652,plain,
( spl57_4
<=> ron(sK6,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_4])]) ).
fof(f22444,plain,
( spl57_804
<=> ! [X0] :
( ~ rpoint(X0)
| sK8 = X0
| ~ ron(X0,vd1416)
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_804])]) ).
fof(f22448,plain,
( sK6 = sK8
| ~ ron(sK6,vd1416)
| ~ rpoint(sK6)
| ~ spl57_4
| ~ spl57_804 ),
inference(resolution,[],[f22445,f1654]) ).
fof(f1654,plain,
( ron(sK6,sK5)
| ~ spl57_4 ),
inference(avatar_component_clause,[],[f1652]) ).
fof(f22445,plain,
( ! [X0] :
( ~ ron(X0,sK5)
| sK8 = X0
| ~ ron(X0,vd1416)
| ~ rpoint(X0) )
| ~ spl57_804 ),
inference(avatar_component_clause,[],[f22444]) ).
fof(f23600,plain,
( spl57_889
| ~ spl57_183
| ~ spl57_340 ),
inference(avatar_split_clause,[],[f8997,f8520,f2991,f23598]) ).
fof(f23598,plain,
( spl57_889
<=> ! [X0] :
( vf(sK25(X0,sK8),sK8) = sK21(sK25(X0,sK8),sK8)
| sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_889])]) ).
fof(f2991,plain,
( spl57_183
<=> ! [X0] :
( ~ rpoint(X0)
| sK8 = X0
| rpoint(sK25(X0,sK8))
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_183])]) ).
fof(f8520,plain,
( spl57_340
<=> ! [X0] :
( ~ rpoint(X0)
| vf(X0,sK8) = sK21(X0,sK8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_340])]) ).
fof(f8997,plain,
( ! [X0] :
( vf(sK25(X0,sK8),sK8) = sK21(sK25(X0,sK8),sK8)
| sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) )
| ~ spl57_183
| ~ spl57_340 ),
inference(resolution,[],[f8521,f2992]) ).
fof(f2992,plain,
( ! [X0] :
( rpoint(sK25(X0,sK8))
| sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) )
| ~ spl57_183 ),
inference(avatar_component_clause,[],[f2991]) ).
fof(f8521,plain,
( ! [X0] :
( ~ rpoint(X0)
| vf(X0,sK8) = sK21(X0,sK8) )
| ~ spl57_340 ),
inference(avatar_component_clause,[],[f8520]) ).
fof(f23596,plain,
( spl57_888
| ~ spl57_172
| ~ spl57_340 ),
inference(avatar_split_clause,[],[f8996,f8520,f2791,f23594]) ).
fof(f23594,plain,
( spl57_888
<=> ! [X0] :
( vf(sK24(X0,sK6),sK8) = sK21(sK24(X0,sK6),sK8)
| sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_888])]) ).
fof(f2791,plain,
( spl57_172
<=> ! [X0] :
( ~ rpoint(X0)
| sK6 = X0
| rpoint(sK24(X0,sK6))
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_172])]) ).
fof(f8996,plain,
( ! [X0] :
( vf(sK24(X0,sK6),sK8) = sK21(sK24(X0,sK6),sK8)
| sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) )
| ~ spl57_172
| ~ spl57_340 ),
inference(resolution,[],[f8521,f2792]) ).
fof(f2792,plain,
( ! [X0] :
( rpoint(sK24(X0,sK6))
| sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) )
| ~ spl57_172 ),
inference(avatar_component_clause,[],[f2791]) ).
fof(f23592,plain,
( spl57_887
| ~ spl57_161
| ~ spl57_340 ),
inference(avatar_split_clause,[],[f8995,f8520,f2682,f23590]) ).
fof(f23590,plain,
( spl57_887
<=> ! [X0] :
( vf(sK24(X0,sK8),sK8) = sK21(sK24(X0,sK8),sK8)
| sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_887])]) ).
fof(f2682,plain,
( spl57_161
<=> ! [X0] :
( ~ rpoint(X0)
| sK8 = X0
| rpoint(sK24(X0,sK8))
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_161])]) ).
fof(f8995,plain,
( ! [X0] :
( vf(sK24(X0,sK8),sK8) = sK21(sK24(X0,sK8),sK8)
| sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) )
| ~ spl57_161
| ~ spl57_340 ),
inference(resolution,[],[f8521,f2683]) ).
fof(f2683,plain,
( ! [X0] :
( rpoint(sK24(X0,sK8))
| sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) )
| ~ spl57_161 ),
inference(avatar_component_clause,[],[f2682]) ).
fof(f23588,plain,
( spl57_886
| ~ spl57_195
| ~ spl57_339 ),
inference(avatar_split_clause,[],[f8955,f8516,f3165,f23586]) ).
fof(f23586,plain,
( spl57_886
<=> ! [X0] :
( vf(sK25(X0,sK6),sK7) = sK21(sK25(X0,sK6),sK7)
| sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_886])]) ).
fof(f3165,plain,
( spl57_195
<=> ! [X0] :
( ~ rpoint(X0)
| sK6 = X0
| rpoint(sK25(X0,sK6))
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_195])]) ).
fof(f8516,plain,
( spl57_339
<=> ! [X0] :
( ~ rpoint(X0)
| vf(X0,sK7) = sK21(X0,sK7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_339])]) ).
fof(f8955,plain,
( ! [X0] :
( vf(sK25(X0,sK6),sK7) = sK21(sK25(X0,sK6),sK7)
| sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) )
| ~ spl57_195
| ~ spl57_339 ),
inference(resolution,[],[f8517,f3166]) ).
fof(f3166,plain,
( ! [X0] :
( rpoint(sK25(X0,sK6))
| sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) )
| ~ spl57_195 ),
inference(avatar_component_clause,[],[f3165]) ).
fof(f8517,plain,
( ! [X0] :
( ~ rpoint(X0)
| vf(X0,sK7) = sK21(X0,sK7) )
| ~ spl57_339 ),
inference(avatar_component_clause,[],[f8516]) ).
fof(f23584,plain,
( spl57_885
| ~ spl57_183
| ~ spl57_339 ),
inference(avatar_split_clause,[],[f8954,f8516,f2991,f23582]) ).
fof(f23582,plain,
( spl57_885
<=> ! [X0] :
( vf(sK25(X0,sK8),sK7) = sK21(sK25(X0,sK8),sK7)
| sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_885])]) ).
fof(f8954,plain,
( ! [X0] :
( vf(sK25(X0,sK8),sK7) = sK21(sK25(X0,sK8),sK7)
| sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) )
| ~ spl57_183
| ~ spl57_339 ),
inference(resolution,[],[f8517,f2992]) ).
fof(f23580,plain,
( spl57_884
| ~ spl57_172
| ~ spl57_339 ),
inference(avatar_split_clause,[],[f8953,f8516,f2791,f23578]) ).
fof(f23578,plain,
( spl57_884
<=> ! [X0] :
( vf(sK24(X0,sK6),sK7) = sK21(sK24(X0,sK6),sK7)
| sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_884])]) ).
fof(f8953,plain,
( ! [X0] :
( vf(sK24(X0,sK6),sK7) = sK21(sK24(X0,sK6),sK7)
| sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) )
| ~ spl57_172
| ~ spl57_339 ),
inference(resolution,[],[f8517,f2792]) ).
fof(f23576,plain,
( spl57_883
| ~ spl57_161
| ~ spl57_339 ),
inference(avatar_split_clause,[],[f8952,f8516,f2682,f23574]) ).
fof(f23574,plain,
( spl57_883
<=> ! [X0] :
( vf(sK24(X0,sK8),sK7) = sK21(sK24(X0,sK8),sK7)
| sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_883])]) ).
fof(f8952,plain,
( ! [X0] :
( vf(sK24(X0,sK8),sK7) = sK21(sK24(X0,sK8),sK7)
| sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) )
| ~ spl57_161
| ~ spl57_339 ),
inference(resolution,[],[f8517,f2683]) ).
fof(f23572,plain,
( spl57_882
| ~ spl57_195
| ~ spl57_336 ),
inference(avatar_split_clause,[],[f8911,f8504,f3165,f23570]) ).
fof(f23570,plain,
( spl57_882
<=> ! [X0] :
( vf(sK25(X0,sK6),sK6) = sK21(sK25(X0,sK6),sK6)
| sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_882])]) ).
fof(f8504,plain,
( spl57_336
<=> ! [X0] :
( ~ rpoint(X0)
| vf(X0,sK6) = sK21(X0,sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_336])]) ).
fof(f8911,plain,
( ! [X0] :
( vf(sK25(X0,sK6),sK6) = sK21(sK25(X0,sK6),sK6)
| sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) )
| ~ spl57_195
| ~ spl57_336 ),
inference(resolution,[],[f8505,f3166]) ).
fof(f8505,plain,
( ! [X0] :
( ~ rpoint(X0)
| vf(X0,sK6) = sK21(X0,sK6) )
| ~ spl57_336 ),
inference(avatar_component_clause,[],[f8504]) ).
fof(f23568,plain,
( spl57_881
| ~ spl57_183
| ~ spl57_336 ),
inference(avatar_split_clause,[],[f8910,f8504,f2991,f23566]) ).
fof(f23566,plain,
( spl57_881
<=> ! [X0] :
( vf(sK25(X0,sK8),sK6) = sK21(sK25(X0,sK8),sK6)
| sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_881])]) ).
fof(f8910,plain,
( ! [X0] :
( vf(sK25(X0,sK8),sK6) = sK21(sK25(X0,sK8),sK6)
| sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) )
| ~ spl57_183
| ~ spl57_336 ),
inference(resolution,[],[f8505,f2992]) ).
fof(f23564,plain,
( spl57_880
| ~ spl57_172
| ~ spl57_336 ),
inference(avatar_split_clause,[],[f8909,f8504,f2791,f23562]) ).
fof(f23562,plain,
( spl57_880
<=> ! [X0] :
( vf(sK24(X0,sK6),sK6) = sK21(sK24(X0,sK6),sK6)
| sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_880])]) ).
fof(f8909,plain,
( ! [X0] :
( vf(sK24(X0,sK6),sK6) = sK21(sK24(X0,sK6),sK6)
| sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) )
| ~ spl57_172
| ~ spl57_336 ),
inference(resolution,[],[f8505,f2792]) ).
fof(f23560,plain,
( spl57_879
| ~ spl57_161
| ~ spl57_336 ),
inference(avatar_split_clause,[],[f8908,f8504,f2682,f23558]) ).
fof(f23558,plain,
( spl57_879
<=> ! [X0] :
( vf(sK24(X0,sK8),sK6) = sK21(sK24(X0,sK8),sK6)
| sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_879])]) ).
fof(f8908,plain,
( ! [X0] :
( vf(sK24(X0,sK8),sK6) = sK21(sK24(X0,sK8),sK6)
| sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) )
| ~ spl57_161
| ~ spl57_336 ),
inference(resolution,[],[f8505,f2683]) ).
fof(f23556,plain,
( spl57_878
| ~ spl57_195
| ~ spl57_335 ),
inference(avatar_split_clause,[],[f8868,f8500,f3165,f23554]) ).
fof(f23554,plain,
( spl57_878
<=> ! [X0] :
( vf(sK25(X0,sK6),vd14) = sK21(sK25(X0,sK6),vd14)
| sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_878])]) ).
fof(f8500,plain,
( spl57_335
<=> ! [X0] :
( ~ rpoint(X0)
| vf(X0,vd14) = sK21(X0,vd14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_335])]) ).
fof(f8868,plain,
( ! [X0] :
( vf(sK25(X0,sK6),vd14) = sK21(sK25(X0,sK6),vd14)
| sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) )
| ~ spl57_195
| ~ spl57_335 ),
inference(resolution,[],[f8501,f3166]) ).
fof(f8501,plain,
( ! [X0] :
( ~ rpoint(X0)
| vf(X0,vd14) = sK21(X0,vd14) )
| ~ spl57_335 ),
inference(avatar_component_clause,[],[f8500]) ).
fof(f23552,plain,
( spl57_877
| ~ spl57_183
| ~ spl57_335 ),
inference(avatar_split_clause,[],[f8867,f8500,f2991,f23550]) ).
fof(f23550,plain,
( spl57_877
<=> ! [X0] :
( vf(sK25(X0,sK8),vd14) = sK21(sK25(X0,sK8),vd14)
| sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_877])]) ).
fof(f8867,plain,
( ! [X0] :
( vf(sK25(X0,sK8),vd14) = sK21(sK25(X0,sK8),vd14)
| sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) )
| ~ spl57_183
| ~ spl57_335 ),
inference(resolution,[],[f8501,f2992]) ).
fof(f23548,plain,
( spl57_876
| ~ spl57_172
| ~ spl57_335 ),
inference(avatar_split_clause,[],[f8866,f8500,f2791,f23546]) ).
fof(f23546,plain,
( spl57_876
<=> ! [X0] :
( vf(sK24(X0,sK6),vd14) = sK21(sK24(X0,sK6),vd14)
| sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_876])]) ).
fof(f8866,plain,
( ! [X0] :
( vf(sK24(X0,sK6),vd14) = sK21(sK24(X0,sK6),vd14)
| sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) )
| ~ spl57_172
| ~ spl57_335 ),
inference(resolution,[],[f8501,f2792]) ).
fof(f23544,plain,
( spl57_875
| ~ spl57_161
| ~ spl57_335 ),
inference(avatar_split_clause,[],[f8865,f8500,f2682,f23542]) ).
fof(f23542,plain,
( spl57_875
<=> ! [X0] :
( vf(sK24(X0,sK8),vd14) = sK21(sK24(X0,sK8),vd14)
| sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_875])]) ).
fof(f8865,plain,
( ! [X0] :
( vf(sK24(X0,sK8),vd14) = sK21(sK24(X0,sK8),vd14)
| sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) )
| ~ spl57_161
| ~ spl57_335 ),
inference(resolution,[],[f8501,f2683]) ).
fof(f23540,plain,
( spl57_874
| ~ spl57_195
| ~ spl57_334 ),
inference(avatar_split_clause,[],[f8825,f8496,f3165,f23538]) ).
fof(f23538,plain,
( spl57_874
<=> ! [X0] :
( vf(sK25(X0,sK6),vd1409) = sK21(sK25(X0,sK6),vd1409)
| sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_874])]) ).
fof(f8496,plain,
( spl57_334
<=> ! [X0] :
( ~ rpoint(X0)
| vf(X0,vd1409) = sK21(X0,vd1409) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_334])]) ).
fof(f8825,plain,
( ! [X0] :
( vf(sK25(X0,sK6),vd1409) = sK21(sK25(X0,sK6),vd1409)
| sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) )
| ~ spl57_195
| ~ spl57_334 ),
inference(resolution,[],[f8497,f3166]) ).
fof(f8497,plain,
( ! [X0] :
( ~ rpoint(X0)
| vf(X0,vd1409) = sK21(X0,vd1409) )
| ~ spl57_334 ),
inference(avatar_component_clause,[],[f8496]) ).
fof(f23536,plain,
( spl57_873
| ~ spl57_183
| ~ spl57_334 ),
inference(avatar_split_clause,[],[f8824,f8496,f2991,f23534]) ).
fof(f23534,plain,
( spl57_873
<=> ! [X0] :
( vf(sK25(X0,sK8),vd1409) = sK21(sK25(X0,sK8),vd1409)
| sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_873])]) ).
fof(f8824,plain,
( ! [X0] :
( vf(sK25(X0,sK8),vd1409) = sK21(sK25(X0,sK8),vd1409)
| sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) )
| ~ spl57_183
| ~ spl57_334 ),
inference(resolution,[],[f8497,f2992]) ).
fof(f23532,plain,
( spl57_872
| ~ spl57_172
| ~ spl57_334 ),
inference(avatar_split_clause,[],[f8823,f8496,f2791,f23530]) ).
fof(f23530,plain,
( spl57_872
<=> ! [X0] :
( vf(sK24(X0,sK6),vd1409) = sK21(sK24(X0,sK6),vd1409)
| sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_872])]) ).
fof(f8823,plain,
( ! [X0] :
( vf(sK24(X0,sK6),vd1409) = sK21(sK24(X0,sK6),vd1409)
| sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) )
| ~ spl57_172
| ~ spl57_334 ),
inference(resolution,[],[f8497,f2792]) ).
fof(f23528,plain,
( spl57_871
| ~ spl57_161
| ~ spl57_334 ),
inference(avatar_split_clause,[],[f8822,f8496,f2682,f23526]) ).
fof(f23526,plain,
( spl57_871
<=> ! [X0] :
( vf(sK24(X0,sK8),vd1409) = sK21(sK24(X0,sK8),vd1409)
| sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_871])]) ).
fof(f8822,plain,
( ! [X0] :
( vf(sK24(X0,sK8),vd1409) = sK21(sK24(X0,sK8),vd1409)
| sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) )
| ~ spl57_161
| ~ spl57_334 ),
inference(resolution,[],[f8497,f2683]) ).
fof(f23524,plain,
( spl57_870
| ~ spl57_195
| ~ spl57_333 ),
inference(avatar_split_clause,[],[f8781,f8492,f3165,f23522]) ).
fof(f23522,plain,
( spl57_870
<=> ! [X0] :
( vf(sK8,sK25(X0,sK6)) = vf(sK25(X0,sK6),sK8)
| sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_870])]) ).
fof(f8492,plain,
( spl57_333
<=> ! [X0] :
( ~ rpoint(X0)
| vf(sK8,X0) = vf(X0,sK8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_333])]) ).
fof(f8781,plain,
( ! [X0] :
( vf(sK8,sK25(X0,sK6)) = vf(sK25(X0,sK6),sK8)
| sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) )
| ~ spl57_195
| ~ spl57_333 ),
inference(resolution,[],[f8493,f3166]) ).
fof(f8493,plain,
( ! [X0] :
( ~ rpoint(X0)
| vf(sK8,X0) = vf(X0,sK8) )
| ~ spl57_333 ),
inference(avatar_component_clause,[],[f8492]) ).
fof(f23520,plain,
( spl57_869
| ~ spl57_9
| ~ spl57_800 ),
inference(avatar_split_clause,[],[f22255,f22248,f1677,f23517]) ).
fof(f23517,plain,
( spl57_869
<=> vd684 = vg(sK8,sK8,sK35(sK5,sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_869])]) ).
fof(f1677,plain,
( spl57_9
<=> rpoint(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_9])]) ).
fof(f22248,plain,
( spl57_800
<=> ! [X0] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK35(sK5,sK6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_800])]) ).
fof(f22255,plain,
( vd684 = vg(sK8,sK8,sK35(sK5,sK6))
| ~ spl57_9
| ~ spl57_800 ),
inference(resolution,[],[f22249,f1679]) ).
fof(f1679,plain,
( rpoint(sK8)
| ~ spl57_9 ),
inference(avatar_component_clause,[],[f1677]) ).
fof(f22249,plain,
( ! [X0] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK35(sK5,sK6)) )
| ~ spl57_800 ),
inference(avatar_component_clause,[],[f22248]) ).
fof(f23515,plain,
( spl57_868
| ~ spl57_183
| ~ spl57_333 ),
inference(avatar_split_clause,[],[f8780,f8492,f2991,f23513]) ).
fof(f23513,plain,
( spl57_868
<=> ! [X0] :
( vf(sK25(X0,sK8),sK8) = vf(sK8,sK25(X0,sK8))
| sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_868])]) ).
fof(f8780,plain,
( ! [X0] :
( vf(sK25(X0,sK8),sK8) = vf(sK8,sK25(X0,sK8))
| sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) )
| ~ spl57_183
| ~ spl57_333 ),
inference(resolution,[],[f8493,f2992]) ).
fof(f23511,plain,
( spl57_867
| ~ spl57_172
| ~ spl57_333 ),
inference(avatar_split_clause,[],[f8779,f8492,f2791,f23509]) ).
fof(f23509,plain,
( spl57_867
<=> ! [X0] :
( vf(sK8,sK24(X0,sK6)) = vf(sK24(X0,sK6),sK8)
| sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_867])]) ).
fof(f8779,plain,
( ! [X0] :
( vf(sK8,sK24(X0,sK6)) = vf(sK24(X0,sK6),sK8)
| sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) )
| ~ spl57_172
| ~ spl57_333 ),
inference(resolution,[],[f8493,f2792]) ).
fof(f23507,plain,
( spl57_866
| ~ spl57_161
| ~ spl57_333 ),
inference(avatar_split_clause,[],[f8778,f8492,f2682,f23505]) ).
fof(f23505,plain,
( spl57_866
<=> ! [X0] :
( vf(sK8,sK24(X0,sK8)) = vf(sK24(X0,sK8),sK8)
| sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_866])]) ).
fof(f8778,plain,
( ! [X0] :
( vf(sK8,sK24(X0,sK8)) = vf(sK24(X0,sK8),sK8)
| sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) )
| ~ spl57_161
| ~ spl57_333 ),
inference(resolution,[],[f8493,f2683]) ).
fof(f23503,plain,
( spl57_865
| ~ spl57_195
| ~ spl57_332 ),
inference(avatar_split_clause,[],[f8738,f8488,f3165,f23501]) ).
fof(f23501,plain,
( spl57_865
<=> ! [X0] :
( vf(sK7,sK25(X0,sK6)) = vf(sK25(X0,sK6),sK7)
| sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_865])]) ).
fof(f8488,plain,
( spl57_332
<=> ! [X0] :
( ~ rpoint(X0)
| vf(sK7,X0) = vf(X0,sK7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_332])]) ).
fof(f8738,plain,
( ! [X0] :
( vf(sK7,sK25(X0,sK6)) = vf(sK25(X0,sK6),sK7)
| sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) )
| ~ spl57_195
| ~ spl57_332 ),
inference(resolution,[],[f8489,f3166]) ).
fof(f8489,plain,
( ! [X0] :
( ~ rpoint(X0)
| vf(sK7,X0) = vf(X0,sK7) )
| ~ spl57_332 ),
inference(avatar_component_clause,[],[f8488]) ).
fof(f23499,plain,
( spl57_864
| ~ spl57_183
| ~ spl57_332 ),
inference(avatar_split_clause,[],[f8737,f8488,f2991,f23497]) ).
fof(f23497,plain,
( spl57_864
<=> ! [X0] :
( vf(sK7,sK25(X0,sK8)) = vf(sK25(X0,sK8),sK7)
| sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_864])]) ).
fof(f8737,plain,
( ! [X0] :
( vf(sK7,sK25(X0,sK8)) = vf(sK25(X0,sK8),sK7)
| sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) )
| ~ spl57_183
| ~ spl57_332 ),
inference(resolution,[],[f8489,f2992]) ).
fof(f23495,plain,
( spl57_863
| ~ spl57_172
| ~ spl57_332 ),
inference(avatar_split_clause,[],[f8736,f8488,f2791,f23493]) ).
fof(f23493,plain,
( spl57_863
<=> ! [X0] :
( vf(sK7,sK24(X0,sK6)) = vf(sK24(X0,sK6),sK7)
| sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_863])]) ).
fof(f8736,plain,
( ! [X0] :
( vf(sK7,sK24(X0,sK6)) = vf(sK24(X0,sK6),sK7)
| sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) )
| ~ spl57_172
| ~ spl57_332 ),
inference(resolution,[],[f8489,f2792]) ).
fof(f23491,plain,
( spl57_862
| ~ spl57_161
| ~ spl57_332 ),
inference(avatar_split_clause,[],[f8735,f8488,f2682,f23489]) ).
fof(f23489,plain,
( spl57_862
<=> ! [X0] :
( vf(sK7,sK24(X0,sK8)) = vf(sK24(X0,sK8),sK7)
| sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_862])]) ).
fof(f8735,plain,
( ! [X0] :
( vf(sK7,sK24(X0,sK8)) = vf(sK24(X0,sK8),sK7)
| sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) )
| ~ spl57_161
| ~ spl57_332 ),
inference(resolution,[],[f8489,f2683]) ).
fof(f23487,plain,
( spl57_861
| ~ spl57_195
| ~ spl57_331 ),
inference(avatar_split_clause,[],[f8694,f8484,f3165,f23485]) ).
fof(f23485,plain,
( spl57_861
<=> ! [X0] :
( vf(sK25(X0,sK6),sK6) = vf(sK6,sK25(X0,sK6))
| sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_861])]) ).
fof(f8484,plain,
( spl57_331
<=> ! [X0] :
( ~ rpoint(X0)
| vf(sK6,X0) = vf(X0,sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_331])]) ).
fof(f8694,plain,
( ! [X0] :
( vf(sK25(X0,sK6),sK6) = vf(sK6,sK25(X0,sK6))
| sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) )
| ~ spl57_195
| ~ spl57_331 ),
inference(resolution,[],[f8485,f3166]) ).
fof(f8485,plain,
( ! [X0] :
( ~ rpoint(X0)
| vf(sK6,X0) = vf(X0,sK6) )
| ~ spl57_331 ),
inference(avatar_component_clause,[],[f8484]) ).
fof(f23483,plain,
( spl57_860
| ~ spl57_183
| ~ spl57_331 ),
inference(avatar_split_clause,[],[f8693,f8484,f2991,f23481]) ).
fof(f23481,plain,
( spl57_860
<=> ! [X0] :
( vf(sK6,sK25(X0,sK8)) = vf(sK25(X0,sK8),sK6)
| sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_860])]) ).
fof(f8693,plain,
( ! [X0] :
( vf(sK6,sK25(X0,sK8)) = vf(sK25(X0,sK8),sK6)
| sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) )
| ~ spl57_183
| ~ spl57_331 ),
inference(resolution,[],[f8485,f2992]) ).
fof(f23479,plain,
( spl57_859
| ~ spl57_172
| ~ spl57_331 ),
inference(avatar_split_clause,[],[f8692,f8484,f2791,f23477]) ).
fof(f23477,plain,
( spl57_859
<=> ! [X0] :
( vf(sK6,sK24(X0,sK6)) = vf(sK24(X0,sK6),sK6)
| sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_859])]) ).
fof(f8692,plain,
( ! [X0] :
( vf(sK6,sK24(X0,sK6)) = vf(sK24(X0,sK6),sK6)
| sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) )
| ~ spl57_172
| ~ spl57_331 ),
inference(resolution,[],[f8485,f2792]) ).
fof(f23475,plain,
( spl57_858
| ~ spl57_10
| ~ spl57_800 ),
inference(avatar_split_clause,[],[f22254,f22248,f1682,f23472]) ).
fof(f23472,plain,
( spl57_858
<=> vd684 = vg(sK7,sK7,sK35(sK5,sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_858])]) ).
fof(f1682,plain,
( spl57_10
<=> rpoint(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_10])]) ).
fof(f22254,plain,
( vd684 = vg(sK7,sK7,sK35(sK5,sK6))
| ~ spl57_10
| ~ spl57_800 ),
inference(resolution,[],[f22249,f1684]) ).
fof(f1684,plain,
( rpoint(sK7)
| ~ spl57_10 ),
inference(avatar_component_clause,[],[f1682]) ).
fof(f23470,plain,
( spl57_857
| ~ spl57_161
| ~ spl57_331 ),
inference(avatar_split_clause,[],[f8691,f8484,f2682,f23468]) ).
fof(f23468,plain,
( spl57_857
<=> ! [X0] :
( vf(sK6,sK24(X0,sK8)) = vf(sK24(X0,sK8),sK6)
| sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_857])]) ).
fof(f8691,plain,
( ! [X0] :
( vf(sK6,sK24(X0,sK8)) = vf(sK24(X0,sK8),sK6)
| sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) )
| ~ spl57_161
| ~ spl57_331 ),
inference(resolution,[],[f8485,f2683]) ).
fof(f23466,plain,
( spl57_856
| ~ spl57_195
| ~ spl57_330 ),
inference(avatar_split_clause,[],[f8652,f8480,f3165,f23464]) ).
fof(f23464,plain,
( spl57_856
<=> ! [X0] :
( vf(vd14,sK25(X0,sK6)) = vf(sK25(X0,sK6),vd14)
| sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_856])]) ).
fof(f8480,plain,
( spl57_330
<=> ! [X0] :
( ~ rpoint(X0)
| vf(vd14,X0) = vf(X0,vd14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_330])]) ).
fof(f8652,plain,
( ! [X0] :
( vf(vd14,sK25(X0,sK6)) = vf(sK25(X0,sK6),vd14)
| sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) )
| ~ spl57_195
| ~ spl57_330 ),
inference(resolution,[],[f8481,f3166]) ).
fof(f8481,plain,
( ! [X0] :
( ~ rpoint(X0)
| vf(vd14,X0) = vf(X0,vd14) )
| ~ spl57_330 ),
inference(avatar_component_clause,[],[f8480]) ).
fof(f23462,plain,
( spl57_855
| ~ spl57_183
| ~ spl57_330 ),
inference(avatar_split_clause,[],[f8651,f8480,f2991,f23460]) ).
fof(f23460,plain,
( spl57_855
<=> ! [X0] :
( vf(vd14,sK25(X0,sK8)) = vf(sK25(X0,sK8),vd14)
| sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_855])]) ).
fof(f8651,plain,
( ! [X0] :
( vf(vd14,sK25(X0,sK8)) = vf(sK25(X0,sK8),vd14)
| sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) )
| ~ spl57_183
| ~ spl57_330 ),
inference(resolution,[],[f8481,f2992]) ).
fof(f23458,plain,
( spl57_854
| ~ spl57_172
| ~ spl57_330 ),
inference(avatar_split_clause,[],[f8650,f8480,f2791,f23456]) ).
fof(f23456,plain,
( spl57_854
<=> ! [X0] :
( vf(vd14,sK24(X0,sK6)) = vf(sK24(X0,sK6),vd14)
| sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_854])]) ).
fof(f8650,plain,
( ! [X0] :
( vf(vd14,sK24(X0,sK6)) = vf(sK24(X0,sK6),vd14)
| sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) )
| ~ spl57_172
| ~ spl57_330 ),
inference(resolution,[],[f8481,f2792]) ).
fof(f23454,plain,
( spl57_853
| ~ spl57_161
| ~ spl57_330 ),
inference(avatar_split_clause,[],[f8649,f8480,f2682,f23452]) ).
fof(f23452,plain,
( spl57_853
<=> ! [X0] :
( vf(vd14,sK24(X0,sK8)) = vf(sK24(X0,sK8),vd14)
| sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_853])]) ).
fof(f8649,plain,
( ! [X0] :
( vf(vd14,sK24(X0,sK8)) = vf(sK24(X0,sK8),vd14)
| sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) )
| ~ spl57_161
| ~ spl57_330 ),
inference(resolution,[],[f8481,f2683]) ).
fof(f23450,plain,
( spl57_852
| ~ spl57_195
| ~ spl57_329 ),
inference(avatar_split_clause,[],[f8610,f8476,f3165,f23448]) ).
fof(f23448,plain,
( spl57_852
<=> ! [X0] :
( vf(vd1409,sK25(X0,sK6)) = vf(sK25(X0,sK6),vd1409)
| sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_852])]) ).
fof(f8476,plain,
( spl57_329
<=> ! [X0] :
( ~ rpoint(X0)
| vf(vd1409,X0) = vf(X0,vd1409) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_329])]) ).
fof(f8610,plain,
( ! [X0] :
( vf(vd1409,sK25(X0,sK6)) = vf(sK25(X0,sK6),vd1409)
| sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) )
| ~ spl57_195
| ~ spl57_329 ),
inference(resolution,[],[f8477,f3166]) ).
fof(f8477,plain,
( ! [X0] :
( ~ rpoint(X0)
| vf(vd1409,X0) = vf(X0,vd1409) )
| ~ spl57_329 ),
inference(avatar_component_clause,[],[f8476]) ).
fof(f23446,plain,
( spl57_851
| ~ spl57_183
| ~ spl57_329 ),
inference(avatar_split_clause,[],[f8609,f8476,f2991,f23444]) ).
fof(f23444,plain,
( spl57_851
<=> ! [X0] :
( vf(vd1409,sK25(X0,sK8)) = vf(sK25(X0,sK8),vd1409)
| sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_851])]) ).
fof(f8609,plain,
( ! [X0] :
( vf(vd1409,sK25(X0,sK8)) = vf(sK25(X0,sK8),vd1409)
| sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) )
| ~ spl57_183
| ~ spl57_329 ),
inference(resolution,[],[f8477,f2992]) ).
fof(f23442,plain,
( spl57_850
| ~ spl57_172
| ~ spl57_329 ),
inference(avatar_split_clause,[],[f8608,f8476,f2791,f23440]) ).
fof(f23440,plain,
( spl57_850
<=> ! [X0] :
( vf(vd1409,sK24(X0,sK6)) = vf(sK24(X0,sK6),vd1409)
| sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_850])]) ).
fof(f8608,plain,
( ! [X0] :
( vf(vd1409,sK24(X0,sK6)) = vf(sK24(X0,sK6),vd1409)
| sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) )
| ~ spl57_172
| ~ spl57_329 ),
inference(resolution,[],[f8477,f2792]) ).
fof(f23438,plain,
( spl57_849
| ~ spl57_161
| ~ spl57_329 ),
inference(avatar_split_clause,[],[f8607,f8476,f2682,f23436]) ).
fof(f23436,plain,
( spl57_849
<=> ! [X0] :
( vf(vd1409,sK24(X0,sK8)) = vf(sK24(X0,sK8),vd1409)
| sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_849])]) ).
fof(f8607,plain,
( ! [X0] :
( vf(vd1409,sK24(X0,sK8)) = vf(sK24(X0,sK8),vd1409)
| sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) )
| ~ spl57_161
| ~ spl57_329 ),
inference(resolution,[],[f8477,f2683]) ).
fof(f23434,plain,
( spl57_848
| ~ spl57_195
| ~ spl57_327 ),
inference(avatar_split_clause,[],[f8568,f8468,f3165,f23432]) ).
fof(f23432,plain,
( spl57_848
<=> ! [X0] :
( vd684 = vf(sK17(sK25(X0,sK6)),sK17(sK25(X0,sK6)))
| sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_848])]) ).
fof(f8468,plain,
( spl57_327
<=> ! [X0] :
( vd684 = vf(sK17(X0),sK17(X0))
| ~ rpoint(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_327])]) ).
fof(f8568,plain,
( ! [X0] :
( vd684 = vf(sK17(sK25(X0,sK6)),sK17(sK25(X0,sK6)))
| sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) )
| ~ spl57_195
| ~ spl57_327 ),
inference(resolution,[],[f8469,f3166]) ).
fof(f8469,plain,
( ! [X0] :
( ~ rpoint(X0)
| vd684 = vf(sK17(X0),sK17(X0)) )
| ~ spl57_327 ),
inference(avatar_component_clause,[],[f8468]) ).
fof(f23430,plain,
( spl57_847
| ~ spl57_11
| ~ spl57_800 ),
inference(avatar_split_clause,[],[f22253,f22248,f1687,f23427]) ).
fof(f23427,plain,
( spl57_847
<=> vd684 = vg(sK6,sK6,sK35(sK5,sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_847])]) ).
fof(f22253,plain,
( vd684 = vg(sK6,sK6,sK35(sK5,sK6))
| ~ spl57_11
| ~ spl57_800 ),
inference(resolution,[],[f22249,f1689]) ).
fof(f1689,plain,
( rpoint(sK6)
| ~ spl57_11 ),
inference(avatar_component_clause,[],[f1687]) ).
fof(f23425,plain,
( spl57_846
| ~ spl57_183
| ~ spl57_327 ),
inference(avatar_split_clause,[],[f8567,f8468,f2991,f23423]) ).
fof(f23423,plain,
( spl57_846
<=> ! [X0] :
( vd684 = vf(sK17(sK25(X0,sK8)),sK17(sK25(X0,sK8)))
| sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_846])]) ).
fof(f8567,plain,
( ! [X0] :
( vd684 = vf(sK17(sK25(X0,sK8)),sK17(sK25(X0,sK8)))
| sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) )
| ~ spl57_183
| ~ spl57_327 ),
inference(resolution,[],[f8469,f2992]) ).
fof(f23421,plain,
( spl57_845
| ~ spl57_172
| ~ spl57_327 ),
inference(avatar_split_clause,[],[f8566,f8468,f2791,f23419]) ).
fof(f23419,plain,
( spl57_845
<=> ! [X0] :
( vd684 = vf(sK17(sK24(X0,sK6)),sK17(sK24(X0,sK6)))
| sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_845])]) ).
fof(f8566,plain,
( ! [X0] :
( vd684 = vf(sK17(sK24(X0,sK6)),sK17(sK24(X0,sK6)))
| sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) )
| ~ spl57_172
| ~ spl57_327 ),
inference(resolution,[],[f8469,f2792]) ).
fof(f23417,plain,
( spl57_844
| ~ spl57_161
| ~ spl57_327 ),
inference(avatar_split_clause,[],[f8565,f8468,f2682,f23415]) ).
fof(f23415,plain,
( spl57_844
<=> ! [X0] :
( vd684 = vf(sK17(sK24(X0,sK8)),sK17(sK24(X0,sK8)))
| sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_844])]) ).
fof(f8565,plain,
( ! [X0] :
( vd684 = vf(sK17(sK24(X0,sK8)),sK17(sK24(X0,sK8)))
| sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) )
| ~ spl57_161
| ~ spl57_327 ),
inference(resolution,[],[f8469,f2683]) ).
fof(f23409,plain,
( ~ spl57_11
| spl57_843
| ~ spl57_127
| ~ spl57_310 ),
inference(avatar_split_clause,[],[f7681,f7655,f2300,f23407,f1687]) ).
fof(f23407,plain,
( spl57_843
<=> ! [X0] :
( rintersect(X0,sK5)
| ron(sK6,X0)
| ~ rline(X0)
| ~ rpoint(sK28(X0,sK6))
| ~ ron(sK28(X0,sK6),sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_843])]) ).
fof(f2300,plain,
( spl57_127
<=> ! [X1,X3] :
( ~ rS(sK28(X1,X3),X3,X1)
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_127])]) ).
fof(f7655,plain,
( spl57_310
<=> ! [X0,X1] :
( ~ rpoint(X0)
| rintersect(X1,sK5)
| ~ ron(X0,sK5)
| rS(X0,sK6,X1)
| ~ rline(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_310])]) ).
fof(f7681,plain,
( ! [X0] :
( rintersect(X0,sK5)
| ~ ron(sK28(X0,sK6),sK5)
| ~ rpoint(sK28(X0,sK6))
| ~ rline(X0)
| ~ rpoint(sK6)
| ron(sK6,X0) )
| ~ spl57_127
| ~ spl57_310 ),
inference(duplicate_literal_removal,[],[f7662]) ).
fof(f7662,plain,
( ! [X0] :
( rintersect(X0,sK5)
| ~ ron(sK28(X0,sK6),sK5)
| ~ rpoint(sK28(X0,sK6))
| ~ rline(X0)
| ~ rline(X0)
| ~ rpoint(sK6)
| ron(sK6,X0) )
| ~ spl57_127
| ~ spl57_310 ),
inference(resolution,[],[f7656,f2301]) ).
fof(f2301,plain,
( ! [X3,X1] :
( ~ rS(sK28(X1,X3),X3,X1)
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X3,X1) )
| ~ spl57_127 ),
inference(avatar_component_clause,[],[f2300]) ).
fof(f7656,plain,
( ! [X0,X1] :
( rS(X0,sK6,X1)
| rintersect(X1,sK5)
| ~ ron(X0,sK5)
| ~ rpoint(X0)
| ~ rline(X1) )
| ~ spl57_310 ),
inference(avatar_component_clause,[],[f7655]) ).
fof(f23401,plain,
( ~ spl57_9
| spl57_842
| ~ spl57_127
| ~ spl57_283 ),
inference(avatar_split_clause,[],[f6397,f6190,f2300,f23399,f1677]) ).
fof(f23399,plain,
( spl57_842
<=> ! [X0] :
( rintersect(X0,sK5)
| ron(sK8,X0)
| ~ rline(X0)
| ~ rpoint(sK28(X0,sK8))
| ~ ron(sK28(X0,sK8),sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_842])]) ).
fof(f6190,plain,
( spl57_283
<=> ! [X0,X1] :
( ~ rpoint(X0)
| rintersect(X1,sK5)
| ~ ron(X0,sK5)
| rS(X0,sK8,X1)
| ~ rline(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_283])]) ).
fof(f6397,plain,
( ! [X0] :
( rintersect(X0,sK5)
| ~ ron(sK28(X0,sK8),sK5)
| ~ rpoint(sK28(X0,sK8))
| ~ rline(X0)
| ~ rpoint(sK8)
| ron(sK8,X0) )
| ~ spl57_127
| ~ spl57_283 ),
inference(duplicate_literal_removal,[],[f6390]) ).
fof(f6390,plain,
( ! [X0] :
( rintersect(X0,sK5)
| ~ ron(sK28(X0,sK8),sK5)
| ~ rpoint(sK28(X0,sK8))
| ~ rline(X0)
| ~ rline(X0)
| ~ rpoint(sK8)
| ron(sK8,X0) )
| ~ spl57_127
| ~ spl57_283 ),
inference(resolution,[],[f6191,f2301]) ).
fof(f6191,plain,
( ! [X0,X1] :
( rS(X0,sK8,X1)
| rintersect(X1,sK5)
| ~ ron(X0,sK5)
| ~ rpoint(X0)
| ~ rline(X1) )
| ~ spl57_283 ),
inference(avatar_component_clause,[],[f6190]) ).
fof(f23328,plain,
( spl57_841
| ~ spl57_6
| ~ spl57_800 ),
inference(avatar_split_clause,[],[f22252,f22248,f1662,f23325]) ).
fof(f23325,plain,
( spl57_841
<=> vd684 = vg(vd14,vd14,sK35(sK5,sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_841])]) ).
fof(f1662,plain,
( spl57_6
<=> rpoint(vd14) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_6])]) ).
fof(f22252,plain,
( vd684 = vg(vd14,vd14,sK35(sK5,sK6))
| ~ spl57_6
| ~ spl57_800 ),
inference(resolution,[],[f22249,f1664]) ).
fof(f1664,plain,
( rpoint(vd14)
| ~ spl57_6 ),
inference(avatar_component_clause,[],[f1662]) ).
fof(f23093,plain,
( spl57_840
| ~ spl57_7
| ~ spl57_800 ),
inference(avatar_split_clause,[],[f22251,f22248,f1667,f23090]) ).
fof(f23090,plain,
( spl57_840
<=> vd684 = vg(vd1409,vd1409,sK35(sK5,sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_840])]) ).
fof(f1667,plain,
( spl57_7
<=> rpoint(vd1409) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_7])]) ).
fof(f22251,plain,
( vd684 = vg(vd1409,vd1409,sK35(sK5,sK6))
| ~ spl57_7
| ~ spl57_800 ),
inference(resolution,[],[f22249,f1669]) ).
fof(f1669,plain,
( rpoint(vd1409)
| ~ spl57_7 ),
inference(avatar_component_clause,[],[f1667]) ).
fof(f22858,plain,
( spl57_839
| ~ spl57_9
| ~ spl57_799 ),
inference(avatar_split_clause,[],[f22210,f22203,f1677,f22855]) ).
fof(f22855,plain,
( spl57_839
<=> vd684 = vg(sK8,sK8,sK35(sK5,sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_839])]) ).
fof(f22203,plain,
( spl57_799
<=> ! [X0] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK35(sK5,sK8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_799])]) ).
fof(f22210,plain,
( vd684 = vg(sK8,sK8,sK35(sK5,sK8))
| ~ spl57_9
| ~ spl57_799 ),
inference(resolution,[],[f22204,f1679]) ).
fof(f22204,plain,
( ! [X0] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK35(sK5,sK8)) )
| ~ spl57_799 ),
inference(avatar_component_clause,[],[f22203]) ).
fof(f22830,plain,
( spl57_838
| ~ spl57_136
| ~ spl57_195 ),
inference(avatar_split_clause,[],[f8111,f3165,f2360,f22828]) ).
fof(f22828,plain,
( spl57_838
<=> ! [X0] :
( vd684 = vg(sK25(X0,sK6),sK25(X0,sK6),sK8)
| sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_838])]) ).
fof(f2360,plain,
( spl57_136
<=> ! [X0] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_136])]) ).
fof(f8111,plain,
( ! [X0] :
( vd684 = vg(sK25(X0,sK6),sK25(X0,sK6),sK8)
| sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) )
| ~ spl57_136
| ~ spl57_195 ),
inference(resolution,[],[f2361,f3166]) ).
fof(f2361,plain,
( ! [X0] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK8) )
| ~ spl57_136 ),
inference(avatar_component_clause,[],[f2360]) ).
fof(f22826,plain,
( spl57_837
| ~ spl57_136
| ~ spl57_183 ),
inference(avatar_split_clause,[],[f8110,f2991,f2360,f22824]) ).
fof(f22824,plain,
( spl57_837
<=> ! [X0] :
( vd684 = vg(sK25(X0,sK8),sK25(X0,sK8),sK8)
| sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_837])]) ).
fof(f8110,plain,
( ! [X0] :
( vd684 = vg(sK25(X0,sK8),sK25(X0,sK8),sK8)
| sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) )
| ~ spl57_136
| ~ spl57_183 ),
inference(resolution,[],[f2361,f2992]) ).
fof(f22822,plain,
( spl57_836
| ~ spl57_136
| ~ spl57_172 ),
inference(avatar_split_clause,[],[f8109,f2791,f2360,f22820]) ).
fof(f22820,plain,
( spl57_836
<=> ! [X0] :
( vd684 = vg(sK24(X0,sK6),sK24(X0,sK6),sK8)
| sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_836])]) ).
fof(f8109,plain,
( ! [X0] :
( vd684 = vg(sK24(X0,sK6),sK24(X0,sK6),sK8)
| sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) )
| ~ spl57_136
| ~ spl57_172 ),
inference(resolution,[],[f2361,f2792]) ).
fof(f22818,plain,
( spl57_835
| ~ spl57_136
| ~ spl57_161 ),
inference(avatar_split_clause,[],[f8108,f2682,f2360,f22816]) ).
fof(f22816,plain,
( spl57_835
<=> ! [X0] :
( vd684 = vg(sK24(X0,sK8),sK24(X0,sK8),sK8)
| sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_835])]) ).
fof(f8108,plain,
( ! [X0] :
( vd684 = vg(sK24(X0,sK8),sK24(X0,sK8),sK8)
| sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) )
| ~ spl57_136
| ~ spl57_161 ),
inference(resolution,[],[f2361,f2683]) ).
fof(f22814,plain,
( spl57_834
| ~ spl57_131
| ~ spl57_195 ),
inference(avatar_split_clause,[],[f8069,f3165,f2324,f22812]) ).
fof(f22812,plain,
( spl57_834
<=> ! [X0] :
( vd684 = vg(sK25(X0,sK6),sK25(X0,sK6),sK7)
| sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_834])]) ).
fof(f2324,plain,
( spl57_131
<=> ! [X0] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_131])]) ).
fof(f8069,plain,
( ! [X0] :
( vd684 = vg(sK25(X0,sK6),sK25(X0,sK6),sK7)
| sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) )
| ~ spl57_131
| ~ spl57_195 ),
inference(resolution,[],[f2325,f3166]) ).
fof(f2325,plain,
( ! [X0] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK7) )
| ~ spl57_131 ),
inference(avatar_component_clause,[],[f2324]) ).
fof(f22810,plain,
( spl57_833
| ~ spl57_131
| ~ spl57_183 ),
inference(avatar_split_clause,[],[f8068,f2991,f2324,f22808]) ).
fof(f22808,plain,
( spl57_833
<=> ! [X0] :
( vd684 = vg(sK25(X0,sK8),sK25(X0,sK8),sK7)
| sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_833])]) ).
fof(f8068,plain,
( ! [X0] :
( vd684 = vg(sK25(X0,sK8),sK25(X0,sK8),sK7)
| sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) )
| ~ spl57_131
| ~ spl57_183 ),
inference(resolution,[],[f2325,f2992]) ).
fof(f22806,plain,
( spl57_832
| ~ spl57_131
| ~ spl57_172 ),
inference(avatar_split_clause,[],[f8067,f2791,f2324,f22804]) ).
fof(f22804,plain,
( spl57_832
<=> ! [X0] :
( vd684 = vg(sK24(X0,sK6),sK24(X0,sK6),sK7)
| sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_832])]) ).
fof(f8067,plain,
( ! [X0] :
( vd684 = vg(sK24(X0,sK6),sK24(X0,sK6),sK7)
| sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) )
| ~ spl57_131
| ~ spl57_172 ),
inference(resolution,[],[f2325,f2792]) ).
fof(f22802,plain,
( spl57_831
| ~ spl57_131
| ~ spl57_161 ),
inference(avatar_split_clause,[],[f8066,f2682,f2324,f22800]) ).
fof(f22800,plain,
( spl57_831
<=> ! [X0] :
( vd684 = vg(sK24(X0,sK8),sK24(X0,sK8),sK7)
| sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_831])]) ).
fof(f8066,plain,
( ! [X0] :
( vd684 = vg(sK24(X0,sK8),sK24(X0,sK8),sK7)
| sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) )
| ~ spl57_131
| ~ spl57_161 ),
inference(resolution,[],[f2325,f2683]) ).
fof(f22798,plain,
( spl57_830
| ~ spl57_125
| ~ spl57_195 ),
inference(avatar_split_clause,[],[f8022,f3165,f2292,f22796]) ).
fof(f22796,plain,
( spl57_830
<=> ! [X0] :
( vd684 = vg(sK25(X0,sK6),sK25(X0,sK6),sK6)
| sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_830])]) ).
fof(f2292,plain,
( spl57_125
<=> ! [X0] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_125])]) ).
fof(f8022,plain,
( ! [X0] :
( vd684 = vg(sK25(X0,sK6),sK25(X0,sK6),sK6)
| sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) )
| ~ spl57_125
| ~ spl57_195 ),
inference(resolution,[],[f2293,f3166]) ).
fof(f2293,plain,
( ! [X0] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK6) )
| ~ spl57_125 ),
inference(avatar_component_clause,[],[f2292]) ).
fof(f22794,plain,
( spl57_829
| ~ spl57_10
| ~ spl57_799 ),
inference(avatar_split_clause,[],[f22209,f22203,f1682,f22791]) ).
fof(f22791,plain,
( spl57_829
<=> vd684 = vg(sK7,sK7,sK35(sK5,sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_829])]) ).
fof(f22209,plain,
( vd684 = vg(sK7,sK7,sK35(sK5,sK8))
| ~ spl57_10
| ~ spl57_799 ),
inference(resolution,[],[f22204,f1684]) ).
fof(f22789,plain,
( spl57_828
| ~ spl57_125
| ~ spl57_183 ),
inference(avatar_split_clause,[],[f8021,f2991,f2292,f22787]) ).
fof(f22787,plain,
( spl57_828
<=> ! [X0] :
( vd684 = vg(sK25(X0,sK8),sK25(X0,sK8),sK6)
| sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_828])]) ).
fof(f8021,plain,
( ! [X0] :
( vd684 = vg(sK25(X0,sK8),sK25(X0,sK8),sK6)
| sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) )
| ~ spl57_125
| ~ spl57_183 ),
inference(resolution,[],[f2293,f2992]) ).
fof(f22785,plain,
( spl57_827
| ~ spl57_125
| ~ spl57_172 ),
inference(avatar_split_clause,[],[f8020,f2791,f2292,f22783]) ).
fof(f22783,plain,
( spl57_827
<=> ! [X0] :
( vd684 = vg(sK24(X0,sK6),sK24(X0,sK6),sK6)
| sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_827])]) ).
fof(f8020,plain,
( ! [X0] :
( vd684 = vg(sK24(X0,sK6),sK24(X0,sK6),sK6)
| sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) )
| ~ spl57_125
| ~ spl57_172 ),
inference(resolution,[],[f2293,f2792]) ).
fof(f22781,plain,
( spl57_826
| ~ spl57_125
| ~ spl57_161 ),
inference(avatar_split_clause,[],[f8019,f2682,f2292,f22779]) ).
fof(f22779,plain,
( spl57_826
<=> ! [X0] :
( vd684 = vg(sK24(X0,sK8),sK24(X0,sK8),sK6)
| sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_826])]) ).
fof(f8019,plain,
( ! [X0] :
( vd684 = vg(sK24(X0,sK8),sK24(X0,sK8),sK6)
| sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) )
| ~ spl57_125
| ~ spl57_161 ),
inference(resolution,[],[f2293,f2683]) ).
fof(f22777,plain,
( spl57_825
| ~ spl57_121
| ~ spl57_195 ),
inference(avatar_split_clause,[],[f7980,f3165,f2276,f22775]) ).
fof(f22775,plain,
( spl57_825
<=> ! [X0] :
( vd684 = vg(sK25(X0,sK6),sK25(X0,sK6),vd14)
| sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_825])]) ).
fof(f2276,plain,
( spl57_121
<=> ! [X0] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,vd14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_121])]) ).
fof(f7980,plain,
( ! [X0] :
( vd684 = vg(sK25(X0,sK6),sK25(X0,sK6),vd14)
| sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) )
| ~ spl57_121
| ~ spl57_195 ),
inference(resolution,[],[f2277,f3166]) ).
fof(f2277,plain,
( ! [X0] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,vd14) )
| ~ spl57_121 ),
inference(avatar_component_clause,[],[f2276]) ).
fof(f22773,plain,
( spl57_824
| ~ spl57_121
| ~ spl57_183 ),
inference(avatar_split_clause,[],[f7979,f2991,f2276,f22771]) ).
fof(f22771,plain,
( spl57_824
<=> ! [X0] :
( vd684 = vg(sK25(X0,sK8),sK25(X0,sK8),vd14)
| sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_824])]) ).
fof(f7979,plain,
( ! [X0] :
( vd684 = vg(sK25(X0,sK8),sK25(X0,sK8),vd14)
| sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) )
| ~ spl57_121
| ~ spl57_183 ),
inference(resolution,[],[f2277,f2992]) ).
fof(f22769,plain,
( spl57_823
| ~ spl57_121
| ~ spl57_172 ),
inference(avatar_split_clause,[],[f7978,f2791,f2276,f22767]) ).
fof(f22767,plain,
( spl57_823
<=> ! [X0] :
( vd684 = vg(sK24(X0,sK6),sK24(X0,sK6),vd14)
| sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_823])]) ).
fof(f7978,plain,
( ! [X0] :
( vd684 = vg(sK24(X0,sK6),sK24(X0,sK6),vd14)
| sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) )
| ~ spl57_121
| ~ spl57_172 ),
inference(resolution,[],[f2277,f2792]) ).
fof(f22765,plain,
( spl57_822
| ~ spl57_121
| ~ spl57_161 ),
inference(avatar_split_clause,[],[f7977,f2682,f2276,f22763]) ).
fof(f22763,plain,
( spl57_822
<=> ! [X0] :
( vd684 = vg(sK24(X0,sK8),sK24(X0,sK8),vd14)
| sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_822])]) ).
fof(f7977,plain,
( ! [X0] :
( vd684 = vg(sK24(X0,sK8),sK24(X0,sK8),vd14)
| sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5) )
| ~ spl57_121
| ~ spl57_161 ),
inference(resolution,[],[f2277,f2683]) ).
fof(f22761,plain,
( spl57_821
| ~ spl57_120
| ~ spl57_195 ),
inference(avatar_split_clause,[],[f3212,f3165,f2265,f22759]) ).
fof(f22759,plain,
( spl57_821
<=> ! [X0] :
( sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5)
| vd684 = vg(sK25(X0,sK6),sK25(X0,sK6),vd1409) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_821])]) ).
fof(f2265,plain,
( spl57_120
<=> ! [X0] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,vd1409) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_120])]) ).
fof(f3212,plain,
( ! [X0] :
( sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5)
| vd684 = vg(sK25(X0,sK6),sK25(X0,sK6),vd1409) )
| ~ spl57_120
| ~ spl57_195 ),
inference(resolution,[],[f3166,f2266]) ).
fof(f2266,plain,
( ! [X0] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,vd1409) )
| ~ spl57_120 ),
inference(avatar_component_clause,[],[f2265]) ).
fof(f22757,plain,
( spl57_820
| ~ spl57_70
| ~ spl57_195 ),
inference(avatar_split_clause,[],[f3209,f3165,f1960,f22755]) ).
fof(f22755,plain,
( spl57_820
<=> ! [X0,X1] :
( sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5)
| ~ rpoint(X1)
| vd684 = vg(X1,X1,sK25(X0,sK6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_820])]) ).
fof(f1960,plain,
( spl57_70
<=> ! [X2,X3] :
( vd684 = vg(X2,X2,X3)
| ~ rpoint(X2)
| ~ rpoint(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_70])]) ).
fof(f3209,plain,
( ! [X0,X1] :
( sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5)
| ~ rpoint(X1)
| vd684 = vg(X1,X1,sK25(X0,sK6)) )
| ~ spl57_70
| ~ spl57_195 ),
inference(resolution,[],[f3166,f1961]) ).
fof(f1961,plain,
( ! [X2,X3] :
( ~ rpoint(X3)
| ~ rpoint(X2)
| vd684 = vg(X2,X2,X3) )
| ~ spl57_70 ),
inference(avatar_component_clause,[],[f1960]) ).
fof(f22753,plain,
( spl57_819
| ~ spl57_120
| ~ spl57_183 ),
inference(avatar_split_clause,[],[f3081,f2991,f2265,f22751]) ).
fof(f22751,plain,
( spl57_819
<=> ! [X0] :
( sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5)
| vd684 = vg(sK25(X0,sK8),sK25(X0,sK8),vd1409) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_819])]) ).
fof(f3081,plain,
( ! [X0] :
( sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5)
| vd684 = vg(sK25(X0,sK8),sK25(X0,sK8),vd1409) )
| ~ spl57_120
| ~ spl57_183 ),
inference(resolution,[],[f2992,f2266]) ).
fof(f22749,plain,
( spl57_818
| ~ spl57_11
| ~ spl57_799 ),
inference(avatar_split_clause,[],[f22208,f22203,f1687,f22746]) ).
fof(f22746,plain,
( spl57_818
<=> vd684 = vg(sK6,sK6,sK35(sK5,sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_818])]) ).
fof(f22208,plain,
( vd684 = vg(sK6,sK6,sK35(sK5,sK8))
| ~ spl57_11
| ~ spl57_799 ),
inference(resolution,[],[f22204,f1689]) ).
fof(f22744,plain,
( spl57_817
| ~ spl57_70
| ~ spl57_183 ),
inference(avatar_split_clause,[],[f3078,f2991,f1960,f22742]) ).
fof(f22742,plain,
( spl57_817
<=> ! [X0,X1] :
( sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5)
| ~ rpoint(X1)
| vd684 = vg(X1,X1,sK25(X0,sK8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_817])]) ).
fof(f3078,plain,
( ! [X0,X1] :
( sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5)
| ~ rpoint(X1)
| vd684 = vg(X1,X1,sK25(X0,sK8)) )
| ~ spl57_70
| ~ spl57_183 ),
inference(resolution,[],[f2992,f1961]) ).
fof(f22740,plain,
( spl57_816
| ~ spl57_120
| ~ spl57_172 ),
inference(avatar_split_clause,[],[f2847,f2791,f2265,f22738]) ).
fof(f22738,plain,
( spl57_816
<=> ! [X0] :
( sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5)
| vd684 = vg(sK24(X0,sK6),sK24(X0,sK6),vd1409) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_816])]) ).
fof(f2847,plain,
( ! [X0] :
( sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5)
| vd684 = vg(sK24(X0,sK6),sK24(X0,sK6),vd1409) )
| ~ spl57_120
| ~ spl57_172 ),
inference(resolution,[],[f2792,f2266]) ).
fof(f22736,plain,
( spl57_815
| ~ spl57_70
| ~ spl57_172 ),
inference(avatar_split_clause,[],[f2844,f2791,f1960,f22734]) ).
fof(f22734,plain,
( spl57_815
<=> ! [X0,X1] :
( sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5)
| ~ rpoint(X1)
| vd684 = vg(X1,X1,sK24(X0,sK6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_815])]) ).
fof(f2844,plain,
( ! [X0,X1] :
( sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5)
| ~ rpoint(X1)
| vd684 = vg(X1,X1,sK24(X0,sK6)) )
| ~ spl57_70
| ~ spl57_172 ),
inference(resolution,[],[f2792,f1961]) ).
fof(f22732,plain,
( spl57_814
| ~ spl57_120
| ~ spl57_161 ),
inference(avatar_split_clause,[],[f2748,f2682,f2265,f22730]) ).
fof(f22730,plain,
( spl57_814
<=> ! [X0] :
( sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5)
| vd684 = vg(sK24(X0,sK8),sK24(X0,sK8),vd1409) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_814])]) ).
fof(f2748,plain,
( ! [X0] :
( sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5)
| vd684 = vg(sK24(X0,sK8),sK24(X0,sK8),vd1409) )
| ~ spl57_120
| ~ spl57_161 ),
inference(resolution,[],[f2683,f2266]) ).
fof(f22728,plain,
( spl57_813
| ~ spl57_70
| ~ spl57_161 ),
inference(avatar_split_clause,[],[f2745,f2682,f1960,f22726]) ).
fof(f22726,plain,
( spl57_813
<=> ! [X0,X1] :
( sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5)
| ~ rpoint(X1)
| vd684 = vg(X1,X1,sK24(X0,sK8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_813])]) ).
fof(f2745,plain,
( ! [X0,X1] :
( sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5)
| ~ rpoint(X1)
| vd684 = vg(X1,X1,sK24(X0,sK8)) )
| ~ spl57_70
| ~ spl57_161 ),
inference(resolution,[],[f2683,f1961]) ).
fof(f22677,plain,
( spl57_812
| ~ spl57_1
| ~ spl57_11
| ~ spl57_4
| ~ spl57_533 ),
inference(avatar_split_clause,[],[f14865,f14147,f1652,f1687,f1637,f22675]) ).
fof(f22675,plain,
( spl57_812
<=> ! [X0] :
( ~ rpoint(X0)
| vf(X0,sK35(sK5,sK6)) = vf(sK35(sK5,sK6),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_812])]) ).
fof(f1637,plain,
( spl57_1
<=> rline(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_1])]) ).
fof(f14147,plain,
( spl57_533
<=> ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ ron(X1,X0)
| ~ rpoint(X2)
| vf(X2,sK35(X0,X1)) = vf(sK35(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_533])]) ).
fof(f14865,plain,
( ! [X0] :
( ~ rpoint(sK6)
| ~ rline(sK5)
| ~ rpoint(X0)
| vf(X0,sK35(sK5,sK6)) = vf(sK35(sK5,sK6),X0) )
| ~ spl57_4
| ~ spl57_533 ),
inference(resolution,[],[f14148,f1654]) ).
fof(f14148,plain,
( ! [X2,X0,X1] :
( ~ ron(X1,X0)
| ~ rpoint(X1)
| ~ rline(X0)
| ~ rpoint(X2)
| vf(X2,sK35(X0,X1)) = vf(sK35(X0,X1),X2) )
| ~ spl57_533 ),
inference(avatar_component_clause,[],[f14147]) ).
fof(f22626,plain,
( spl57_811
| ~ spl57_1
| ~ spl57_9
| ~ spl57_3
| ~ spl57_533 ),
inference(avatar_split_clause,[],[f14864,f14147,f1647,f1677,f1637,f22624]) ).
fof(f22624,plain,
( spl57_811
<=> ! [X0] :
( ~ rpoint(X0)
| vf(X0,sK35(sK5,sK8)) = vf(sK35(sK5,sK8),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_811])]) ).
fof(f1647,plain,
( spl57_3
<=> ron(sK8,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_3])]) ).
fof(f14864,plain,
( ! [X0] :
( ~ rpoint(sK8)
| ~ rline(sK5)
| ~ rpoint(X0)
| vf(X0,sK35(sK5,sK8)) = vf(sK35(sK5,sK8),X0) )
| ~ spl57_3
| ~ spl57_533 ),
inference(resolution,[],[f14148,f1649]) ).
fof(f1649,plain,
( ron(sK8,sK5)
| ~ spl57_3 ),
inference(avatar_component_clause,[],[f1647]) ).
fof(f22581,plain,
( spl57_810
| ~ spl57_6
| ~ spl57_799 ),
inference(avatar_split_clause,[],[f22207,f22203,f1662,f22578]) ).
fof(f22578,plain,
( spl57_810
<=> vd684 = vg(vd14,vd14,sK35(sK5,sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_810])]) ).
fof(f22207,plain,
( vd684 = vg(vd14,vd14,sK35(sK5,sK8))
| ~ spl57_6
| ~ spl57_799 ),
inference(resolution,[],[f22204,f1664]) ).
fof(f22576,plain,
( spl57_809
| ~ spl57_1
| ~ spl57_11
| ~ spl57_4
| ~ spl57_532 ),
inference(avatar_split_clause,[],[f14813,f14143,f1652,f1687,f1637,f22574]) ).
fof(f22574,plain,
( spl57_809
<=> ! [X0] :
( ~ rpoint(X0)
| vf(X0,sK35(sK5,sK6)) = sK21(X0,sK35(sK5,sK6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_809])]) ).
fof(f14143,plain,
( spl57_532
<=> ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ ron(X1,X0)
| ~ rpoint(X2)
| vf(X2,sK35(X0,X1)) = sK21(X2,sK35(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_532])]) ).
fof(f14813,plain,
( ! [X0] :
( ~ rpoint(sK6)
| ~ rline(sK5)
| ~ rpoint(X0)
| vf(X0,sK35(sK5,sK6)) = sK21(X0,sK35(sK5,sK6)) )
| ~ spl57_4
| ~ spl57_532 ),
inference(resolution,[],[f14144,f1654]) ).
fof(f14144,plain,
( ! [X2,X0,X1] :
( ~ ron(X1,X0)
| ~ rpoint(X1)
| ~ rline(X0)
| ~ rpoint(X2)
| vf(X2,sK35(X0,X1)) = sK21(X2,sK35(X0,X1)) )
| ~ spl57_532 ),
inference(avatar_component_clause,[],[f14143]) ).
fof(f22531,plain,
( spl57_808
| ~ spl57_1
| ~ spl57_9
| ~ spl57_3
| ~ spl57_532 ),
inference(avatar_split_clause,[],[f14812,f14143,f1647,f1677,f1637,f22529]) ).
fof(f22529,plain,
( spl57_808
<=> ! [X0] :
( ~ rpoint(X0)
| vf(X0,sK35(sK5,sK8)) = sK21(X0,sK35(sK5,sK8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_808])]) ).
fof(f14812,plain,
( ! [X0] :
( ~ rpoint(sK8)
| ~ rline(sK5)
| ~ rpoint(X0)
| vf(X0,sK35(sK5,sK8)) = sK21(X0,sK35(sK5,sK8)) )
| ~ spl57_3
| ~ spl57_532 ),
inference(resolution,[],[f14144,f1649]) ).
fof(f22504,plain,
( ~ spl57_8
| spl57_806
| spl57_807
| ~ spl57_17
| ~ spl57_315 ),
inference(avatar_split_clause,[],[f7735,f7731,f1717,f22501,f22498,f1672]) ).
fof(f1672,plain,
( spl57_8
<=> rline(vd1407) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_8])]) ).
fof(f22498,plain,
( spl57_806
<=> ! [X0] :
( ~ rpoint(X0)
| sK6 = X0
| ~ ron(X0,vd1407)
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_806])]) ).
fof(f22501,plain,
( spl57_807
<=> vd1407 = sK5 ),
introduced(avatar_definition,[new_symbols(naming,[spl57_807])]) ).
fof(f1717,plain,
( spl57_17
<=> ron(sK6,vd1407) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_17])]) ).
fof(f7731,plain,
( spl57_315
<=> ! [X0,X1] :
( ~ rpoint(X0)
| sK5 = X1
| ~ ron(sK6,X1)
| ~ ron(X0,sK5)
| ~ ron(X0,X1)
| ~ rline(X1)
| sK6 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_315])]) ).
fof(f7735,plain,
( ! [X0] :
( vd1407 = sK5
| ~ rpoint(X0)
| ~ ron(X0,sK5)
| ~ ron(X0,vd1407)
| ~ rline(vd1407)
| sK6 = X0 )
| ~ spl57_17
| ~ spl57_315 ),
inference(resolution,[],[f7732,f1719]) ).
fof(f1719,plain,
( ron(sK6,vd1407)
| ~ spl57_17 ),
inference(avatar_component_clause,[],[f1717]) ).
fof(f7732,plain,
( ! [X0,X1] :
( ~ ron(sK6,X1)
| sK5 = X1
| ~ rpoint(X0)
| ~ ron(X0,sK5)
| ~ ron(X0,X1)
| ~ rline(X1)
| sK6 = X0 )
| ~ spl57_315 ),
inference(avatar_component_clause,[],[f7731]) ).
fof(f22473,plain,
( ~ spl57_12
| spl57_805
| spl57_2
| ~ spl57_20
| ~ spl57_315 ),
inference(avatar_split_clause,[],[f7734,f7731,f1732,f1642,f22471,f1692]) ).
fof(f1692,plain,
( spl57_12
<=> rline(vd1416) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_12])]) ).
fof(f22471,plain,
( spl57_805
<=> ! [X0] :
( ~ rpoint(X0)
| sK6 = X0
| ~ ron(X0,vd1416)
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_805])]) ).
fof(f1642,plain,
( spl57_2
<=> vd1416 = sK5 ),
introduced(avatar_definition,[new_symbols(naming,[spl57_2])]) ).
fof(f7734,plain,
( ! [X0] :
( vd1416 = sK5
| ~ rpoint(X0)
| ~ ron(X0,sK5)
| ~ ron(X0,vd1416)
| ~ rline(vd1416)
| sK6 = X0 )
| ~ spl57_20
| ~ spl57_315 ),
inference(resolution,[],[f7732,f1734]) ).
fof(f1734,plain,
( ron(sK6,vd1416)
| ~ spl57_20 ),
inference(avatar_component_clause,[],[f1732]) ).
fof(f22446,plain,
( ~ spl57_12
| spl57_804
| spl57_2
| ~ spl57_19
| ~ spl57_314 ),
inference(avatar_split_clause,[],[f7724,f7721,f1727,f1642,f22444,f1692]) ).
fof(f1727,plain,
( spl57_19
<=> ron(sK8,vd1416) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_19])]) ).
fof(f7721,plain,
( spl57_314
<=> ! [X0,X1] :
( ~ rpoint(X0)
| sK5 = X1
| ~ ron(sK8,X1)
| ~ ron(X0,sK5)
| ~ ron(X0,X1)
| ~ rline(X1)
| sK8 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_314])]) ).
fof(f7724,plain,
( ! [X0] :
( vd1416 = sK5
| ~ rpoint(X0)
| ~ ron(X0,sK5)
| ~ ron(X0,vd1416)
| ~ rline(vd1416)
| sK8 = X0 )
| ~ spl57_19
| ~ spl57_314 ),
inference(resolution,[],[f7722,f1729]) ).
fof(f1729,plain,
( ron(sK8,vd1416)
| ~ spl57_19 ),
inference(avatar_component_clause,[],[f1727]) ).
fof(f7722,plain,
( ! [X0,X1] :
( ~ ron(sK8,X1)
| sK5 = X1
| ~ rpoint(X0)
| ~ ron(X0,sK5)
| ~ ron(X0,X1)
| ~ rline(X1)
| sK8 = X0 )
| ~ spl57_314 ),
inference(avatar_component_clause,[],[f7721]) ).
fof(f22442,plain,
( spl57_803
| ~ spl57_7
| ~ spl57_799 ),
inference(avatar_split_clause,[],[f22206,f22203,f1667,f22439]) ).
fof(f22439,plain,
( spl57_803
<=> vd684 = vg(vd1409,vd1409,sK35(sK5,sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_803])]) ).
fof(f22206,plain,
( vd684 = vg(vd1409,vd1409,sK35(sK5,sK8))
| ~ spl57_7
| ~ spl57_799 ),
inference(resolution,[],[f22204,f1669]) ).
fof(f22369,plain,
( ~ spl57_11
| spl57_802
| ~ spl57_134
| ~ spl57_310 ),
inference(avatar_split_clause,[],[f7679,f7655,f2346,f22367,f1687]) ).
fof(f22367,plain,
( spl57_802
<=> ! [X0,X1] :
( rintersect(X0,sK5)
| ~ rline(X0)
| ~ ron(X1,sK5)
| rS(sK6,X1,X0)
| ~ rpoint(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_802])]) ).
fof(f2346,plain,
( spl57_134
<=> ! [X4,X5,X3] :
( rS(X5,X4,X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rline(X3)
| ~ rS(X4,X5,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_134])]) ).
fof(f7679,plain,
( ! [X0,X1] :
( rintersect(X0,sK5)
| ~ ron(X1,sK5)
| ~ rpoint(X1)
| ~ rline(X0)
| ~ rpoint(sK6)
| rS(sK6,X1,X0) )
| ~ spl57_134
| ~ spl57_310 ),
inference(duplicate_literal_removal,[],[f7664]) ).
fof(f7664,plain,
( ! [X0,X1] :
( rintersect(X0,sK5)
| ~ ron(X1,sK5)
| ~ rpoint(X1)
| ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK6)
| ~ rline(X0)
| rS(sK6,X1,X0) )
| ~ spl57_134
| ~ spl57_310 ),
inference(resolution,[],[f7656,f2347]) ).
fof(f2347,plain,
( ! [X3,X4,X5] :
( ~ rS(X4,X5,X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rline(X3)
| rS(X5,X4,X3) )
| ~ spl57_134 ),
inference(avatar_component_clause,[],[f2346]) ).
fof(f22295,plain,
( ~ spl57_9
| spl57_801
| ~ spl57_134
| ~ spl57_283 ),
inference(avatar_split_clause,[],[f6395,f6190,f2346,f22293,f1677]) ).
fof(f22293,plain,
( spl57_801
<=> ! [X0,X1] :
( rintersect(X0,sK5)
| ~ rline(X0)
| ~ ron(X1,sK5)
| rS(sK8,X1,X0)
| ~ rpoint(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_801])]) ).
fof(f6395,plain,
( ! [X0,X1] :
( rintersect(X0,sK5)
| ~ ron(X1,sK5)
| ~ rpoint(X1)
| ~ rline(X0)
| ~ rpoint(sK8)
| rS(sK8,X1,X0) )
| ~ spl57_134
| ~ spl57_283 ),
inference(duplicate_literal_removal,[],[f6392]) ).
fof(f6392,plain,
( ! [X0,X1] :
( rintersect(X0,sK5)
| ~ ron(X1,sK5)
| ~ rpoint(X1)
| ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK8)
| ~ rline(X0)
| rS(sK8,X1,X0) )
| ~ spl57_134
| ~ spl57_283 ),
inference(resolution,[],[f6191,f2347]) ).
fof(f22250,plain,
( spl57_800
| ~ spl57_1
| ~ spl57_11
| ~ spl57_4
| ~ spl57_459 ),
inference(avatar_split_clause,[],[f12434,f11873,f1652,f1687,f1637,f22248]) ).
fof(f11873,plain,
( spl57_459
<=> ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ ron(X1,X0)
| ~ rpoint(X2)
| vd684 = vg(X2,X2,sK35(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_459])]) ).
fof(f12434,plain,
( ! [X0] :
( ~ rpoint(sK6)
| ~ rline(sK5)
| ~ rpoint(X0)
| vd684 = vg(X0,X0,sK35(sK5,sK6)) )
| ~ spl57_4
| ~ spl57_459 ),
inference(resolution,[],[f11874,f1654]) ).
fof(f11874,plain,
( ! [X2,X0,X1] :
( ~ ron(X1,X0)
| ~ rpoint(X1)
| ~ rline(X0)
| ~ rpoint(X2)
| vd684 = vg(X2,X2,sK35(X0,X1)) )
| ~ spl57_459 ),
inference(avatar_component_clause,[],[f11873]) ).
fof(f22205,plain,
( spl57_799
| ~ spl57_1
| ~ spl57_9
| ~ spl57_3
| ~ spl57_459 ),
inference(avatar_split_clause,[],[f12433,f11873,f1647,f1677,f1637,f22203]) ).
fof(f12433,plain,
( ! [X0] :
( ~ rpoint(sK8)
| ~ rline(sK5)
| ~ rpoint(X0)
| vd684 = vg(X0,X0,sK35(sK5,sK8)) )
| ~ spl57_3
| ~ spl57_459 ),
inference(resolution,[],[f11874,f1649]) ).
fof(f22199,plain,
( spl57_798
| ~ spl57_1
| ~ spl57_11
| ~ spl57_4
| ~ spl57_420 ),
inference(avatar_split_clause,[],[f11426,f10681,f1652,f1687,f1637,f22196]) ).
fof(f22196,plain,
( spl57_798
<=> vd684 = vf(sK35(sK5,sK6),sK35(sK5,sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_798])]) ).
fof(f10681,plain,
( spl57_420
<=> ! [X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ ron(X1,X0)
| vd684 = vf(sK35(X0,X1),sK35(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_420])]) ).
fof(f11426,plain,
( ~ rpoint(sK6)
| ~ rline(sK5)
| vd684 = vf(sK35(sK5,sK6),sK35(sK5,sK6))
| ~ spl57_4
| ~ spl57_420 ),
inference(resolution,[],[f10682,f1654]) ).
fof(f10682,plain,
( ! [X0,X1] :
( ~ ron(X1,X0)
| ~ rpoint(X1)
| ~ rline(X0)
| vd684 = vf(sK35(X0,X1),sK35(X0,X1)) )
| ~ spl57_420 ),
inference(avatar_component_clause,[],[f10681]) ).
fof(f22194,plain,
( spl57_797
| ~ spl57_10
| ~ spl57_746 ),
inference(avatar_split_clause,[],[f21480,f21060,f1682,f22191]) ).
fof(f22191,plain,
( spl57_797
<=> vf(sK7,sK16(sK5)) = sK21(sK7,sK16(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_797])]) ).
fof(f21060,plain,
( spl57_746
<=> ! [X0] :
( ~ rpoint(X0)
| vf(X0,sK16(sK5)) = sK21(X0,sK16(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_746])]) ).
fof(f21480,plain,
( vf(sK7,sK16(sK5)) = sK21(sK7,sK16(sK5))
| ~ spl57_10
| ~ spl57_746 ),
inference(resolution,[],[f21061,f1684]) ).
fof(f21061,plain,
( ! [X0] :
( ~ rpoint(X0)
| vf(X0,sK16(sK5)) = sK21(X0,sK16(sK5)) )
| ~ spl57_746 ),
inference(avatar_component_clause,[],[f21060]) ).
fof(f22187,plain,
( spl57_796
| ~ spl57_1
| ~ spl57_9
| ~ spl57_3
| ~ spl57_420 ),
inference(avatar_split_clause,[],[f11425,f10681,f1647,f1677,f1637,f22184]) ).
fof(f22184,plain,
( spl57_796
<=> vd684 = vf(sK35(sK5,sK8),sK35(sK5,sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_796])]) ).
fof(f11425,plain,
( ~ rpoint(sK8)
| ~ rline(sK5)
| vd684 = vf(sK35(sK5,sK8),sK35(sK5,sK8))
| ~ spl57_3
| ~ spl57_420 ),
inference(resolution,[],[f10682,f1649]) ).
fof(f22159,plain,
( spl57_795
| ~ spl57_184
| ~ spl57_258 ),
inference(avatar_split_clause,[],[f5094,f5057,f3033,f22157]) ).
fof(f22157,plain,
( spl57_795
<=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X17,X15,X5,X12,X13] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
| ~ rpoint(X17)
| vf(sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),vskolem1052(X17,X17,sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))) = vf(vskolem1052(X17,X17,sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)),X17)
| sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16) = X17 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_795])]) ).
fof(f3033,plain,
( spl57_184
<=> ! [X1,X3] :
( vf(X3,vskolem1052(X1,X1,X3,X3)) = vf(vskolem1052(X1,X1,X3,X3),X1)
| ~ rpoint(X1)
| ~ rpoint(X3)
| X1 = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_184])]) ).
fof(f5057,plain,
( spl57_258
<=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X15,X5,X12,X13] :
( rpoint(sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
| ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_258])]) ).
fof(f5094,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X17,X15,X5,X12,X13] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
| ~ rpoint(X17)
| vf(sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),vskolem1052(X17,X17,sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))) = vf(vskolem1052(X17,X17,sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)),X17)
| sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16) = X17 )
| ~ spl57_184
| ~ spl57_258 ),
inference(resolution,[],[f5058,f3034]) ).
fof(f3034,plain,
( ! [X3,X1] :
( ~ rpoint(X3)
| ~ rpoint(X1)
| vf(X3,vskolem1052(X1,X1,X3,X3)) = vf(vskolem1052(X1,X1,X3,X3),X1)
| X1 = X3 )
| ~ spl57_184 ),
inference(avatar_component_clause,[],[f3033]) ).
fof(f5058,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X15,X5,X12,X13] :
( rpoint(sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
| ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16) )
| ~ spl57_258 ),
inference(avatar_component_clause,[],[f5057]) ).
fof(f22155,plain,
( spl57_794
| ~ spl57_184
| ~ spl57_257 ),
inference(avatar_split_clause,[],[f5082,f5053,f3033,f22153]) ).
fof(f22153,plain,
( spl57_794
<=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X17,X15,X5,X12,X13] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
| ~ rpoint(X17)
| vf(sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),vskolem1052(X17,X17,sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))) = vf(vskolem1052(X17,X17,sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)),X17)
| sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16) = X17 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_794])]) ).
fof(f5053,plain,
( spl57_257
<=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X15,X5,X12,X13] :
( rpoint(sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
| ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_257])]) ).
fof(f5082,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X17,X15,X5,X12,X13] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
| ~ rpoint(X17)
| vf(sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),vskolem1052(X17,X17,sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))) = vf(vskolem1052(X17,X17,sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)),X17)
| sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16) = X17 )
| ~ spl57_184
| ~ spl57_257 ),
inference(resolution,[],[f5054,f3034]) ).
fof(f5054,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X15,X5,X12,X13] :
( rpoint(sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
| ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16) )
| ~ spl57_257 ),
inference(avatar_component_clause,[],[f5053]) ).
fof(f22151,plain,
( spl57_793
| ~ spl57_184
| ~ spl57_256 ),
inference(avatar_split_clause,[],[f5070,f5049,f3033,f22149]) ).
fof(f22149,plain,
( spl57_793
<=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X17,X15,X5,X12,X13] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
| ~ rpoint(X17)
| vf(sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),vskolem1052(X17,X17,sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))) = vf(vskolem1052(X17,X17,sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)),X17)
| sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16) = X17 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_793])]) ).
fof(f5049,plain,
( spl57_256
<=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X15,X5,X12,X13] :
( rpoint(sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
| ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_256])]) ).
fof(f5070,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X17,X15,X5,X12,X13] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
| ~ rpoint(X17)
| vf(sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),vskolem1052(X17,X17,sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))) = vf(vskolem1052(X17,X17,sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)),X17)
| sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16) = X17 )
| ~ spl57_184
| ~ spl57_256 ),
inference(resolution,[],[f5050,f3034]) ).
fof(f5050,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X15,X5,X12,X13] :
( rpoint(sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
| ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16) )
| ~ spl57_256 ),
inference(avatar_component_clause,[],[f5049]) ).
fof(f22147,plain,
( spl57_792
| ~ spl57_11
| ~ spl57_746 ),
inference(avatar_split_clause,[],[f21479,f21060,f1687,f22144]) ).
fof(f22144,plain,
( spl57_792
<=> vf(sK6,sK16(sK5)) = sK21(sK6,sK16(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_792])]) ).
fof(f21479,plain,
( vf(sK6,sK16(sK5)) = sK21(sK6,sK16(sK5))
| ~ spl57_11
| ~ spl57_746 ),
inference(resolution,[],[f21061,f1689]) ).
fof(f22142,plain,
( spl57_791
| ~ spl57_145
| ~ spl57_258 ),
inference(avatar_split_clause,[],[f5092,f5057,f2540,f22140]) ).
fof(f22140,plain,
( spl57_791
<=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X17,X15,X5,X12,X13] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
| ~ rpoint(X17)
| vf(X17,sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) = vf(sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),vskolem1052(X17,X17,sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)))
| sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16) = X17 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_791])]) ).
fof(f2540,plain,
( spl57_145
<=> ! [X1,X3] :
( vf(X1,X3) = vf(X3,vskolem1052(X1,X1,X3,X3))
| ~ rpoint(X1)
| ~ rpoint(X3)
| X1 = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_145])]) ).
fof(f5092,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X17,X15,X5,X12,X13] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
| ~ rpoint(X17)
| vf(X17,sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) = vf(sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),vskolem1052(X17,X17,sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)))
| sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16) = X17 )
| ~ spl57_145
| ~ spl57_258 ),
inference(resolution,[],[f5058,f2541]) ).
fof(f2541,plain,
( ! [X3,X1] :
( ~ rpoint(X3)
| ~ rpoint(X1)
| vf(X1,X3) = vf(X3,vskolem1052(X1,X1,X3,X3))
| X1 = X3 )
| ~ spl57_145 ),
inference(avatar_component_clause,[],[f2540]) ).
fof(f22138,plain,
( spl57_790
| ~ spl57_145
| ~ spl57_257 ),
inference(avatar_split_clause,[],[f5080,f5053,f2540,f22136]) ).
fof(f22136,plain,
( spl57_790
<=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X17,X15,X5,X12,X13] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
| ~ rpoint(X17)
| vf(X17,sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) = vf(sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),vskolem1052(X17,X17,sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)))
| sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16) = X17 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_790])]) ).
fof(f5080,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X17,X15,X5,X12,X13] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
| ~ rpoint(X17)
| vf(X17,sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) = vf(sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),vskolem1052(X17,X17,sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)))
| sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16) = X17 )
| ~ spl57_145
| ~ spl57_257 ),
inference(resolution,[],[f5054,f2541]) ).
fof(f22134,plain,
( spl57_789
| ~ spl57_145
| ~ spl57_256 ),
inference(avatar_split_clause,[],[f5068,f5049,f2540,f22132]) ).
fof(f22132,plain,
( spl57_789
<=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X17,X15,X5,X12,X13] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
| ~ rpoint(X17)
| vf(X17,sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) = vf(sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),vskolem1052(X17,X17,sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)))
| sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16) = X17 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_789])]) ).
fof(f5068,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X17,X15,X5,X12,X13] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
| ~ rpoint(X17)
| vf(X17,sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) = vf(sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),vskolem1052(X17,X17,sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)))
| sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16) = X17 )
| ~ spl57_145
| ~ spl57_256 ),
inference(resolution,[],[f5050,f2541]) ).
fof(f22104,plain,
( spl57_788
| ~ spl57_262
| ~ spl57_273 ),
inference(avatar_split_clause,[],[f5465,f5454,f5213,f22102]) ).
fof(f22102,plain,
( spl57_788
<=> ! [X11,X12,X1,X18,X8,X13,X6,X19,X20,X9,X2,X7,X16,X21,X14,X3,X17,X4,X10,X15,X0,X5] :
( ~ rline(X0)
| ~ rline(X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(sK56(X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X1,X20,X21))
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X0)
| ~ ron(X5,X1)
| ~ ron(sK56(X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X1,X20,X21),X2)
| ~ rS(X5,sK56(X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X1,X20,X21),X0)
| ~ rS(X4,X5,X2)
| rS(X5,X21,X0)
| ~ rS(X5,X21,X2)
| ~ sP4(X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X1,X20,X21) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_788])]) ).
fof(f5213,plain,
( spl57_262
<=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X15,X5,X12,X13] :
( rS(sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),X16,X14)
| ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_262])]) ).
fof(f5454,plain,
( spl57_273
<=> ! [X10,X11,X13,X14,X12,X9,X8,X7] :
( rS(X13,X7,X8)
| ~ rline(X8)
| ~ rline(X9)
| ~ rline(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rpoint(X13)
| ~ rpoint(X14)
| ~ ron(X11,X8)
| ~ ron(X11,X9)
| ~ ron(X11,X10)
| ~ ron(X12,X8)
| ~ ron(X13,X9)
| ~ ron(X14,X10)
| ~ rS(X13,X14,X8)
| ~ rS(X12,X13,X10)
| ~ rS(X14,X7,X9)
| ~ rS(X13,X7,X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_273])]) ).
fof(f5465,plain,
( ! [X2,X21,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X19,X17,X15,X5,X12,X13,X20] :
( ~ rline(X0)
| ~ rline(X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(sK56(X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X1,X20,X21))
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X0)
| ~ ron(X5,X1)
| ~ ron(sK56(X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X1,X20,X21),X2)
| ~ rS(X5,sK56(X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X1,X20,X21),X0)
| ~ rS(X4,X5,X2)
| rS(X5,X21,X0)
| ~ rS(X5,X21,X2)
| ~ sP4(X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X1,X20,X21) )
| ~ spl57_262
| ~ spl57_273 ),
inference(resolution,[],[f5455,f5214]) ).
fof(f5214,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X15,X5,X12,X13] :
( rS(sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),X16,X14)
| ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16) )
| ~ spl57_262 ),
inference(avatar_component_clause,[],[f5213]) ).
fof(f5455,plain,
( ! [X10,X11,X8,X9,X7,X14,X12,X13] :
( ~ rS(X14,X7,X9)
| ~ rline(X8)
| ~ rline(X9)
| ~ rline(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rpoint(X13)
| ~ rpoint(X14)
| ~ ron(X11,X8)
| ~ ron(X11,X9)
| ~ ron(X11,X10)
| ~ ron(X12,X8)
| ~ ron(X13,X9)
| ~ ron(X14,X10)
| ~ rS(X13,X14,X8)
| ~ rS(X12,X13,X10)
| rS(X13,X7,X8)
| ~ rS(X13,X7,X10) )
| ~ spl57_273 ),
inference(avatar_component_clause,[],[f5454]) ).
fof(f22074,plain,
( spl57_787
| ~ spl57_262
| ~ spl57_268 ),
inference(avatar_split_clause,[],[f5344,f5333,f5213,f22072]) ).
fof(f22072,plain,
( spl57_787
<=> ! [X11,X12,X1,X18,X8,X13,X6,X19,X20,X9,X2,X7,X16,X14,X3,X17,X4,X10,X15,X0,X5] :
( ~ rline(X0)
| ~ rline(X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(sK56(X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X0,X19,X20))
| ~ rpoint(X20)
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X0)
| ~ ron(sK56(X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X0,X19,X20),X2)
| ~ ron(X20,X2)
| ~ rS(X4,X20,X1)
| ~ rS(X4,sK56(X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X0,X19,X20),X2)
| ~ sP4(X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X0,X19,X20) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_787])]) ).
fof(f5333,plain,
( spl57_268
<=> ! [X10,X11,X13,X12,X9,X8,X7] :
( ~ rS(X11,X13,X8)
| ~ rline(X7)
| ~ rline(X8)
| ~ rline(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rpoint(X13)
| ~ ron(X10,X7)
| ~ ron(X10,X8)
| ~ ron(X10,X9)
| ~ ron(X11,X7)
| ~ ron(X12,X9)
| ~ ron(X13,X9)
| ~ rS(X12,X13,X7)
| ~ rS(X11,X12,X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_268])]) ).
fof(f5344,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X19,X17,X15,X5,X12,X13,X20] :
( ~ rline(X0)
| ~ rline(X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(sK56(X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X0,X19,X20))
| ~ rpoint(X20)
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X0)
| ~ ron(sK56(X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X0,X19,X20),X2)
| ~ ron(X20,X2)
| ~ rS(X4,X20,X1)
| ~ rS(X4,sK56(X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X0,X19,X20),X2)
| ~ sP4(X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X0,X19,X20) )
| ~ spl57_262
| ~ spl57_268 ),
inference(resolution,[],[f5334,f5214]) ).
fof(f5334,plain,
( ! [X10,X11,X8,X9,X7,X12,X13] :
( ~ rS(X12,X13,X7)
| ~ rline(X7)
| ~ rline(X8)
| ~ rline(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rpoint(X13)
| ~ ron(X10,X7)
| ~ ron(X10,X8)
| ~ ron(X10,X9)
| ~ ron(X11,X7)
| ~ ron(X12,X9)
| ~ ron(X13,X9)
| ~ rS(X11,X13,X8)
| ~ rS(X11,X12,X9) )
| ~ spl57_268 ),
inference(avatar_component_clause,[],[f5333]) ).
fof(f22010,plain,
( spl57_786
| ~ spl57_6
| ~ spl57_746 ),
inference(avatar_split_clause,[],[f21478,f21060,f1662,f22007]) ).
fof(f22007,plain,
( spl57_786
<=> vf(vd14,sK16(sK5)) = sK21(vd14,sK16(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_786])]) ).
fof(f21478,plain,
( vf(vd14,sK16(sK5)) = sK21(vd14,sK16(sK5))
| ~ spl57_6
| ~ spl57_746 ),
inference(resolution,[],[f21061,f1664]) ).
fof(f22005,plain,
( spl57_785
| ~ spl57_182
| ~ spl57_259 ),
inference(avatar_split_clause,[],[f5156,f5097,f2869,f22003]) ).
fof(f22003,plain,
( spl57_785
<=> ! [X7,X2,X3,X10,X0,X11,X18,X1,X8,X6,X9,X16,X14,X4,X17,X15,X5,X12,X13] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
| ~ rpoint(X17)
| ~ rpoint(sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
| ~ rline(X18)
| rS(X17,sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),X18)
| ~ rline(X14)
| ~ ron(X17,X14)
| rintersect(X18,X14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_785])]) ).
fof(f2869,plain,
( spl57_182
<=> ! [X5,X7,X6,X3] :
( rintersect(X3,X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rline(X3)
| rS(X6,X7,X3)
| ~ rline(X5)
| ~ ron(X6,X5)
| ~ ron(X7,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_182])]) ).
fof(f5097,plain,
( spl57_259
<=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X15,X5,X12,X13] :
( ron(sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),X14)
| ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_259])]) ).
fof(f5156,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X17,X15,X5,X12,X13] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
| ~ rpoint(X17)
| ~ rpoint(sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
| ~ rline(X18)
| rS(X17,sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),X18)
| ~ rline(X14)
| ~ ron(X17,X14)
| rintersect(X18,X14) )
| ~ spl57_182
| ~ spl57_259 ),
inference(resolution,[],[f5098,f2870]) ).
fof(f2870,plain,
( ! [X3,X6,X7,X5] :
( ~ ron(X7,X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rline(X3)
| rS(X6,X7,X3)
| ~ rline(X5)
| ~ ron(X6,X5)
| rintersect(X3,X5) )
| ~ spl57_182 ),
inference(avatar_component_clause,[],[f2869]) ).
fof(f5098,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X15,X5,X12,X13] :
( ron(sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),X14)
| ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16) )
| ~ spl57_259 ),
inference(avatar_component_clause,[],[f5097]) ).
fof(f21777,plain,
( spl57_784
| ~ spl57_7
| ~ spl57_9
| ~ spl57_11
| ~ spl57_329
| ~ spl57_336
| ~ spl57_340
| ~ spl57_783 ),
inference(avatar_split_clause,[],[f21773,f21766,f8520,f8504,f8476,f1687,f1677,f1667,f21775]) ).
fof(f21775,plain,
( spl57_784
<=> ! [X2,X0,X1] :
( vf(X1,X2) != sK21(vd1409,sK8)
| vf(X2,X0) != sK21(vd1409,sK6)
| vf(X0,X1) != sK21(vd1409,sK6)
| vangle(X2,X0,X1) != vangle(vd1409,sK6,sK8)
| vangle(X1,X2,X0) != vangle(sK8,vd1409,sK6)
| vg(X0,X1,X2) = vg(sK6,sK8,vd1409)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| vangle(X0,X1,X2) != vangle(sK6,vd1409,sK8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_784])]) ).
fof(f21766,plain,
( spl57_783
<=> ! [X2,X0,X1] :
( vf(X0,X1) != vf(sK6,vd1409)
| vangle(X2,X0,X1) != vangle(vd1409,sK6,sK8)
| vangle(X1,X2,X0) != vangle(sK8,vd1409,sK6)
| vg(X0,X1,X2) = vg(sK6,sK8,vd1409)
| vf(X2,X0) != vf(vd1409,sK6)
| vf(X1,X2) != vf(sK8,vd1409)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| vangle(X0,X1,X2) != vangle(sK6,vd1409,sK8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_783])]) ).
fof(f21773,plain,
( ! [X2,X0,X1] :
( vf(X1,X2) != sK21(vd1409,sK8)
| vf(X2,X0) != sK21(vd1409,sK6)
| vf(X0,X1) != sK21(vd1409,sK6)
| vangle(X2,X0,X1) != vangle(vd1409,sK6,sK8)
| vangle(X1,X2,X0) != vangle(sK8,vd1409,sK6)
| vg(X0,X1,X2) = vg(sK6,sK8,vd1409)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| vangle(X0,X1,X2) != vangle(sK6,vd1409,sK8) )
| ~ spl57_7
| ~ spl57_9
| ~ spl57_11
| ~ spl57_329
| ~ spl57_336
| ~ spl57_340
| ~ spl57_783 ),
inference(forward_demodulation,[],[f21772,f8977]) ).
fof(f8977,plain,
( vf(vd1409,sK8) = sK21(vd1409,sK8)
| ~ spl57_7
| ~ spl57_340 ),
inference(resolution,[],[f8521,f1669]) ).
fof(f21772,plain,
( ! [X2,X0,X1] :
( vf(X1,X2) != vf(vd1409,sK8)
| vf(X2,X0) != sK21(vd1409,sK6)
| vf(X0,X1) != sK21(vd1409,sK6)
| vangle(X2,X0,X1) != vangle(vd1409,sK6,sK8)
| vangle(X1,X2,X0) != vangle(sK8,vd1409,sK6)
| vg(X0,X1,X2) = vg(sK6,sK8,vd1409)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| vangle(X0,X1,X2) != vangle(sK6,vd1409,sK8) )
| ~ spl57_7
| ~ spl57_9
| ~ spl57_11
| ~ spl57_329
| ~ spl57_336
| ~ spl57_783 ),
inference(forward_demodulation,[],[f21771,f8596]) ).
fof(f8596,plain,
( vf(sK8,vd1409) = vf(vd1409,sK8)
| ~ spl57_9
| ~ spl57_329 ),
inference(resolution,[],[f8477,f1679]) ).
fof(f21771,plain,
( ! [X2,X0,X1] :
( vf(X2,X0) != sK21(vd1409,sK6)
| vf(X0,X1) != sK21(vd1409,sK6)
| vangle(X2,X0,X1) != vangle(vd1409,sK6,sK8)
| vangle(X1,X2,X0) != vangle(sK8,vd1409,sK6)
| vg(X0,X1,X2) = vg(sK6,sK8,vd1409)
| vf(X1,X2) != vf(sK8,vd1409)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| vangle(X0,X1,X2) != vangle(sK6,vd1409,sK8) )
| ~ spl57_7
| ~ spl57_11
| ~ spl57_329
| ~ spl57_336
| ~ spl57_783 ),
inference(forward_demodulation,[],[f21770,f8890]) ).
fof(f8890,plain,
( vf(vd1409,sK6) = sK21(vd1409,sK6)
| ~ spl57_7
| ~ spl57_336 ),
inference(resolution,[],[f8505,f1669]) ).
fof(f21770,plain,
( ! [X2,X0,X1] :
( vf(X0,X1) != sK21(vd1409,sK6)
| vangle(X2,X0,X1) != vangle(vd1409,sK6,sK8)
| vangle(X1,X2,X0) != vangle(sK8,vd1409,sK6)
| vg(X0,X1,X2) = vg(sK6,sK8,vd1409)
| vf(X2,X0) != vf(vd1409,sK6)
| vf(X1,X2) != vf(sK8,vd1409)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| vangle(X0,X1,X2) != vangle(sK6,vd1409,sK8) )
| ~ spl57_7
| ~ spl57_11
| ~ spl57_329
| ~ spl57_336
| ~ spl57_783 ),
inference(forward_demodulation,[],[f21769,f8890]) ).
fof(f21769,plain,
( ! [X2,X0,X1] :
( vf(X0,X1) != vf(vd1409,sK6)
| vangle(X2,X0,X1) != vangle(vd1409,sK6,sK8)
| vangle(X1,X2,X0) != vangle(sK8,vd1409,sK6)
| vg(X0,X1,X2) = vg(sK6,sK8,vd1409)
| vf(X2,X0) != vf(vd1409,sK6)
| vf(X1,X2) != vf(sK8,vd1409)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| vangle(X0,X1,X2) != vangle(sK6,vd1409,sK8) )
| ~ spl57_11
| ~ spl57_329
| ~ spl57_783 ),
inference(forward_demodulation,[],[f21767,f8594]) ).
fof(f8594,plain,
( vf(sK6,vd1409) = vf(vd1409,sK6)
| ~ spl57_11
| ~ spl57_329 ),
inference(resolution,[],[f8477,f1689]) ).
fof(f21767,plain,
( ! [X2,X0,X1] :
( vf(X0,X1) != vf(sK6,vd1409)
| vangle(X2,X0,X1) != vangle(vd1409,sK6,sK8)
| vangle(X1,X2,X0) != vangle(sK8,vd1409,sK6)
| vg(X0,X1,X2) = vg(sK6,sK8,vd1409)
| vf(X2,X0) != vf(vd1409,sK6)
| vf(X1,X2) != vf(sK8,vd1409)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| vangle(X0,X1,X2) != vangle(sK6,vd1409,sK8) )
| ~ spl57_783 ),
inference(avatar_component_clause,[],[f21766]) ).
fof(f21768,plain,
( ~ spl57_7
| ~ spl57_9
| ~ spl57_11
| spl57_783
| ~ spl57_42
| ~ spl57_63
| ~ spl57_304 ),
inference(avatar_split_clause,[],[f7618,f7611,f1930,f1823,f21766,f1687,f1677,f1667]) ).
fof(f1823,plain,
( spl57_42
<=> vf(sK6,sK8) = vf(sK6,vd1409) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_42])]) ).
fof(f1930,plain,
( spl57_63
<=> vangle(sK6,sK8,vd1409) = vangle(sK6,vd1409,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_63])]) ).
fof(f7611,plain,
( spl57_304
<=> ! [X6,X10,X11,X9,X8,X7] :
( vg(X6,X7,X8) = vg(X9,X10,X11)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| vf(X9,X10) != vf(X6,X7)
| vf(X7,X8) != vf(X10,X11)
| vf(X8,X6) != vf(X11,X9)
| vangle(X9,X10,X11) != vangle(X6,X7,X8)
| vangle(X7,X8,X6) != vangle(X10,X11,X9)
| vangle(X8,X6,X7) != vangle(X11,X9,X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_304])]) ).
fof(f7618,plain,
( ! [X2,X0,X1] :
( vf(X0,X1) != vf(sK6,vd1409)
| vangle(X0,X1,X2) != vangle(sK6,vd1409,sK8)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK6)
| ~ rpoint(sK8)
| ~ rpoint(vd1409)
| vf(X1,X2) != vf(sK8,vd1409)
| vf(X2,X0) != vf(vd1409,sK6)
| vg(X0,X1,X2) = vg(sK6,sK8,vd1409)
| vangle(X1,X2,X0) != vangle(sK8,vd1409,sK6)
| vangle(X2,X0,X1) != vangle(vd1409,sK6,sK8) )
| ~ spl57_42
| ~ spl57_63
| ~ spl57_304 ),
inference(forward_demodulation,[],[f7614,f1825]) ).
fof(f1825,plain,
( vf(sK6,sK8) = vf(sK6,vd1409)
| ~ spl57_42 ),
inference(avatar_component_clause,[],[f1823]) ).
fof(f7614,plain,
( ! [X2,X0,X1] :
( vangle(X0,X1,X2) != vangle(sK6,vd1409,sK8)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK6)
| ~ rpoint(sK8)
| ~ rpoint(vd1409)
| vf(X0,X1) != vf(sK6,sK8)
| vf(X1,X2) != vf(sK8,vd1409)
| vf(X2,X0) != vf(vd1409,sK6)
| vg(X0,X1,X2) = vg(sK6,sK8,vd1409)
| vangle(X1,X2,X0) != vangle(sK8,vd1409,sK6)
| vangle(X2,X0,X1) != vangle(vd1409,sK6,sK8) )
| ~ spl57_63
| ~ spl57_304 ),
inference(superposition,[],[f7612,f1932]) ).
fof(f1932,plain,
( vangle(sK6,sK8,vd1409) = vangle(sK6,vd1409,sK8)
| ~ spl57_63 ),
inference(avatar_component_clause,[],[f1930]) ).
fof(f7612,plain,
( ! [X10,X11,X8,X6,X9,X7] :
( vangle(X9,X10,X11) != vangle(X6,X7,X8)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| vf(X9,X10) != vf(X6,X7)
| vf(X7,X8) != vf(X10,X11)
| vf(X8,X6) != vf(X11,X9)
| vg(X6,X7,X8) = vg(X9,X10,X11)
| vangle(X7,X8,X6) != vangle(X10,X11,X9)
| vangle(X8,X6,X7) != vangle(X11,X9,X10) )
| ~ spl57_304 ),
inference(avatar_component_clause,[],[f7611]) ).
fof(f21764,plain,
( spl57_782
| ~ spl57_225
| ~ spl57_273 ),
inference(avatar_split_clause,[],[f5470,f5454,f4573,f21762]) ).
fof(f21762,plain,
( spl57_782
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ rline(X0)
| ~ rline(X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X0)
| ~ ron(X5,X1)
| ~ ron(X6,X2)
| ~ rS(X5,X6,X0)
| ~ rS(X4,X5,X2)
| rS(X5,X7,X0)
| ~ rS(X5,X7,X2)
| rS(X7,X8,X1)
| rS(X6,X8,X1)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ron(X6,X1)
| ron(X7,X1)
| ron(X8,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_782])]) ).
fof(f4573,plain,
( spl57_225
<=> ! [X5,X4,X7,X6] :
( rS(X6,X7,X4)
| rS(X5,X7,X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rline(X4)
| ron(X5,X4)
| ron(X6,X4)
| ron(X7,X4)
| rS(X5,X6,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_225])]) ).
fof(f5470,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ rline(X0)
| ~ rline(X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X0)
| ~ ron(X5,X1)
| ~ ron(X6,X2)
| ~ rS(X5,X6,X0)
| ~ rS(X4,X5,X2)
| rS(X5,X7,X0)
| ~ rS(X5,X7,X2)
| rS(X7,X8,X1)
| rS(X6,X8,X1)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ron(X6,X1)
| ron(X7,X1)
| ron(X8,X1) )
| ~ spl57_225
| ~ spl57_273 ),
inference(duplicate_literal_removal,[],[f5458]) ).
fof(f5458,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ rline(X0)
| ~ rline(X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X0)
| ~ ron(X5,X1)
| ~ ron(X6,X2)
| ~ rS(X5,X6,X0)
| ~ rS(X4,X5,X2)
| rS(X5,X7,X0)
| ~ rS(X5,X7,X2)
| rS(X7,X8,X1)
| rS(X6,X8,X1)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rline(X1)
| ron(X6,X1)
| ron(X7,X1)
| ron(X8,X1)
| ~ rpoint(X6) )
| ~ spl57_225
| ~ spl57_273 ),
inference(resolution,[],[f5455,f4574]) ).
fof(f4574,plain,
( ! [X6,X7,X4,X5] :
( rS(X6,X7,X4)
| rS(X5,X7,X4)
| rS(X5,X6,X4)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rline(X4)
| ron(X5,X4)
| ron(X6,X4)
| ron(X7,X4)
| ~ rpoint(X5) )
| ~ spl57_225 ),
inference(avatar_component_clause,[],[f4573]) ).
fof(f21760,plain,
( spl57_781
| ~ spl57_225
| ~ spl57_273 ),
inference(avatar_split_clause,[],[f5469,f5454,f4573,f21758]) ).
fof(f21758,plain,
( spl57_781
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ rline(X0)
| ~ rline(X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X0)
| ~ ron(X5,X1)
| ~ ron(X6,X2)
| ~ rS(X5,X6,X0)
| ~ rS(X4,X5,X2)
| rS(X5,X7,X0)
| ~ rS(X5,X7,X2)
| rS(X8,X7,X1)
| rS(X6,X8,X1)
| ~ rpoint(X8)
| ~ rpoint(X7)
| ron(X6,X1)
| ron(X8,X1)
| ron(X7,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_781])]) ).
fof(f5469,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ rline(X0)
| ~ rline(X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X0)
| ~ ron(X5,X1)
| ~ ron(X6,X2)
| ~ rS(X5,X6,X0)
| ~ rS(X4,X5,X2)
| rS(X5,X7,X0)
| ~ rS(X5,X7,X2)
| rS(X8,X7,X1)
| rS(X6,X8,X1)
| ~ rpoint(X8)
| ~ rpoint(X7)
| ron(X6,X1)
| ron(X8,X1)
| ron(X7,X1) )
| ~ spl57_225
| ~ spl57_273 ),
inference(duplicate_literal_removal,[],[f5459]) ).
fof(f5459,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ rline(X0)
| ~ rline(X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X0)
| ~ ron(X5,X1)
| ~ ron(X6,X2)
| ~ rS(X5,X6,X0)
| ~ rS(X4,X5,X2)
| rS(X5,X7,X0)
| ~ rS(X5,X7,X2)
| rS(X8,X7,X1)
| rS(X6,X8,X1)
| ~ rpoint(X8)
| ~ rpoint(X7)
| ~ rline(X1)
| ron(X6,X1)
| ron(X8,X1)
| ron(X7,X1)
| ~ rpoint(X6) )
| ~ spl57_225
| ~ spl57_273 ),
inference(resolution,[],[f5455,f4574]) ).
fof(f21756,plain,
( spl57_780
| ~ spl57_225
| ~ spl57_273 ),
inference(avatar_split_clause,[],[f5468,f5454,f4573,f21754]) ).
fof(f21754,plain,
( spl57_780
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ rline(X0)
| ~ rline(X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X0)
| ~ ron(X5,X1)
| ~ ron(X6,X2)
| ~ rS(X5,X6,X0)
| ~ rS(X4,X5,X2)
| rS(X5,X7,X0)
| ~ rS(X5,X7,X2)
| rS(X8,X7,X1)
| rS(X8,X6,X1)
| ~ rpoint(X7)
| ron(X8,X1)
| ron(X6,X1)
| ron(X7,X1)
| ~ rpoint(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_780])]) ).
fof(f5468,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ rline(X0)
| ~ rline(X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X0)
| ~ ron(X5,X1)
| ~ ron(X6,X2)
| ~ rS(X5,X6,X0)
| ~ rS(X4,X5,X2)
| rS(X5,X7,X0)
| ~ rS(X5,X7,X2)
| rS(X8,X7,X1)
| rS(X8,X6,X1)
| ~ rpoint(X7)
| ron(X8,X1)
| ron(X6,X1)
| ron(X7,X1)
| ~ rpoint(X8) )
| ~ spl57_225
| ~ spl57_273 ),
inference(duplicate_literal_removal,[],[f5460]) ).
fof(f5460,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ rline(X0)
| ~ rline(X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X0)
| ~ ron(X5,X1)
| ~ ron(X6,X2)
| ~ rS(X5,X6,X0)
| ~ rS(X4,X5,X2)
| rS(X5,X7,X0)
| ~ rS(X5,X7,X2)
| rS(X8,X7,X1)
| rS(X8,X6,X1)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rline(X1)
| ron(X8,X1)
| ron(X6,X1)
| ron(X7,X1)
| ~ rpoint(X8) )
| ~ spl57_225
| ~ spl57_273 ),
inference(resolution,[],[f5455,f4574]) ).
fof(f21752,plain,
( spl57_779
| ~ spl57_7
| ~ spl57_746 ),
inference(avatar_split_clause,[],[f21477,f21060,f1667,f21749]) ).
fof(f21749,plain,
( spl57_779
<=> vf(vd1409,sK16(sK5)) = sK21(vd1409,sK16(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_779])]) ).
fof(f21477,plain,
( vf(vd1409,sK16(sK5)) = sK21(vd1409,sK16(sK5))
| ~ spl57_7
| ~ spl57_746 ),
inference(resolution,[],[f21061,f1669]) ).
fof(f21657,plain,
( spl57_778
| ~ spl57_169
| ~ spl57_273 ),
inference(avatar_split_clause,[],[f5466,f5454,f2762,f21655]) ).
fof(f21655,plain,
( spl57_778
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ rline(X0)
| ~ rline(X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(sK42(X1,X6,X7))
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X0)
| ~ ron(X5,X1)
| ~ ron(sK42(X1,X6,X7),X2)
| ~ rS(X5,sK42(X1,X6,X7),X0)
| ~ rS(X4,X5,X2)
| rS(X5,X6,X0)
| ~ rS(X5,X6,X2)
| ~ rpoint(X6)
| ron(X6,X1)
| ~ rpoint(X7)
| ~ rS(X7,X6,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_778])]) ).
fof(f2762,plain,
( spl57_169
<=> ! [X5,X1,X3] :
( rS(sK42(X1,X3,X5),X3,X1)
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X3,X1)
| ~ rpoint(X5)
| ~ rS(X5,X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_169])]) ).
fof(f5466,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ rline(X0)
| ~ rline(X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(sK42(X1,X6,X7))
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X0)
| ~ ron(X5,X1)
| ~ ron(sK42(X1,X6,X7),X2)
| ~ rS(X5,sK42(X1,X6,X7),X0)
| ~ rS(X4,X5,X2)
| rS(X5,X6,X0)
| ~ rS(X5,X6,X2)
| ~ rpoint(X6)
| ron(X6,X1)
| ~ rpoint(X7)
| ~ rS(X7,X6,X1) )
| ~ spl57_169
| ~ spl57_273 ),
inference(duplicate_literal_removal,[],[f5463]) ).
fof(f5463,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ rline(X0)
| ~ rline(X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(sK42(X1,X6,X7))
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X0)
| ~ ron(X5,X1)
| ~ ron(sK42(X1,X6,X7),X2)
| ~ rS(X5,sK42(X1,X6,X7),X0)
| ~ rS(X4,X5,X2)
| rS(X5,X6,X0)
| ~ rS(X5,X6,X2)
| ~ rline(X1)
| ~ rpoint(X6)
| ron(X6,X1)
| ~ rpoint(X7)
| ~ rS(X7,X6,X1) )
| ~ spl57_169
| ~ spl57_273 ),
inference(resolution,[],[f5455,f2763]) ).
fof(f2763,plain,
( ! [X3,X1,X5] :
( rS(sK42(X1,X3,X5),X3,X1)
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X3,X1)
| ~ rpoint(X5)
| ~ rS(X5,X3,X1) )
| ~ spl57_169 ),
inference(avatar_component_clause,[],[f2762]) ).
fof(f21653,plain,
( spl57_777
| ~ spl57_168
| ~ spl57_262 ),
inference(avatar_split_clause,[],[f5220,f5213,f2758,f21651]) ).
fof(f21651,plain,
( spl57_777
<=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X17,X15,X5,X12,X13] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
| ~ rpoint(sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
| ~ rpoint(X17)
| ~ rpoint(X16)
| ~ rline(X14)
| ~ rS(sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),X17,X14)
| rS(X17,X16,X14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_777])]) ).
fof(f2758,plain,
( spl57_168
<=> ! [X5,X4,X7,X6] :
( rS(X6,X7,X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rline(X4)
| ~ rS(X5,X6,X4)
| ~ rS(X5,X7,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_168])]) ).
fof(f5220,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X17,X15,X5,X12,X13] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
| ~ rpoint(sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
| ~ rpoint(X17)
| ~ rpoint(X16)
| ~ rline(X14)
| ~ rS(sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),X17,X14)
| rS(X17,X16,X14) )
| ~ spl57_168
| ~ spl57_262 ),
inference(resolution,[],[f5214,f2759]) ).
fof(f2759,plain,
( ! [X6,X7,X4,X5] :
( ~ rS(X5,X7,X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rline(X4)
| ~ rS(X5,X6,X4)
| rS(X6,X7,X4) )
| ~ spl57_168 ),
inference(avatar_component_clause,[],[f2758]) ).
fof(f21621,plain,
( spl57_776
| ~ spl57_122
| ~ spl57_273 ),
inference(avatar_split_clause,[],[f5464,f5454,f2280,f21619]) ).
fof(f21619,plain,
( spl57_776
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ rline(X0)
| ~ rline(X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(sK52(X1,X6,X7,X8))
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X0)
| ~ ron(X5,X1)
| ~ ron(sK52(X1,X6,X7,X8),X2)
| ~ rS(X5,sK52(X1,X6,X7,X8),X0)
| ~ rS(X4,X5,X2)
| rS(X5,X6,X0)
| ~ rS(X5,X6,X2)
| ~ sP3(X1,X6,X7,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_776])]) ).
fof(f2280,plain,
( spl57_122
<=> ! [X0,X3,X2,X1] :
( rS(sK52(X0,X1,X2,X3),X1,X0)
| ~ sP3(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_122])]) ).
fof(f5464,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ rline(X0)
| ~ rline(X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(sK52(X1,X6,X7,X8))
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X0)
| ~ ron(X5,X1)
| ~ ron(sK52(X1,X6,X7,X8),X2)
| ~ rS(X5,sK52(X1,X6,X7,X8),X0)
| ~ rS(X4,X5,X2)
| rS(X5,X6,X0)
| ~ rS(X5,X6,X2)
| ~ sP3(X1,X6,X7,X8) )
| ~ spl57_122
| ~ spl57_273 ),
inference(resolution,[],[f5455,f2281]) ).
fof(f2281,plain,
( ! [X2,X3,X0,X1] :
( rS(sK52(X0,X1,X2,X3),X1,X0)
| ~ sP3(X0,X1,X2,X3) )
| ~ spl57_122 ),
inference(avatar_component_clause,[],[f2280]) ).
fof(f21617,plain,
( spl57_775
| ~ spl57_138
| ~ spl57_258 ),
inference(avatar_split_clause,[],[f5091,f5057,f2368,f21615]) ).
fof(f21615,plain,
( spl57_775
<=> ! [X7,X2,X3,X10,X0,X11,X18,X1,X8,X6,X9,X16,X14,X4,X17,X15,X5,X12,X13] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
| ~ rpoint(X17)
| ~ rpoint(X18)
| vg(X17,X18,sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) = sK23(X17,X18,sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_775])]) ).
fof(f2368,plain,
( spl57_138
<=> ! [X6,X4,X5] :
( sK23(X4,X5,X6) = vg(X4,X5,X6)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_138])]) ).
fof(f5091,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X17,X15,X5,X12,X13] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
| ~ rpoint(X17)
| ~ rpoint(X18)
| vg(X17,X18,sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) = sK23(X17,X18,sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) )
| ~ spl57_138
| ~ spl57_258 ),
inference(resolution,[],[f5058,f2369]) ).
fof(f2369,plain,
( ! [X6,X4,X5] :
( ~ rpoint(X6)
| ~ rpoint(X4)
| ~ rpoint(X5)
| sK23(X4,X5,X6) = vg(X4,X5,X6) )
| ~ spl57_138 ),
inference(avatar_component_clause,[],[f2368]) ).
fof(f21613,plain,
( spl57_774
| ~ spl57_137
| ~ spl57_258 ),
inference(avatar_split_clause,[],[f5090,f5057,f2364,f21611]) ).
fof(f21611,plain,
( spl57_774
<=> ! [X7,X2,X3,X10,X0,X11,X18,X1,X8,X6,X9,X16,X14,X4,X17,X15,X5,X12,X13] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
| ~ rpoint(X17)
| ~ rpoint(X18)
| vg(X17,X18,sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) = vg(X17,sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),X18) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_774])]) ).
fof(f2364,plain,
( spl57_137
<=> ! [X4,X5,X3] :
( vg(X3,X4,X5) = vg(X3,X5,X4)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_137])]) ).
fof(f5090,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X17,X15,X5,X12,X13] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
| ~ rpoint(X17)
| ~ rpoint(X18)
| vg(X17,X18,sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) = vg(X17,sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),X18) )
| ~ spl57_137
| ~ spl57_258 ),
inference(resolution,[],[f5058,f2365]) ).
fof(f2365,plain,
( ! [X3,X4,X5] :
( ~ rpoint(X5)
| ~ rpoint(X3)
| ~ rpoint(X4)
| vg(X3,X4,X5) = vg(X3,X5,X4) )
| ~ spl57_137 ),
inference(avatar_component_clause,[],[f2364]) ).
fof(f21609,plain,
( spl57_773
| ~ spl57_135
| ~ spl57_258 ),
inference(avatar_split_clause,[],[f5089,f5057,f2356,f21607]) ).
fof(f21607,plain,
( spl57_773
<=> ! [X7,X2,X3,X10,X0,X11,X18,X1,X8,X6,X9,X16,X14,X4,X17,X15,X5,X12,X13] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
| ~ rpoint(X17)
| ~ rpoint(X18)
| vg(X17,X18,sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) = vg(sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),X17,X18) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_773])]) ).
fof(f2356,plain,
( spl57_135
<=> ! [X4,X5,X3] :
( vg(X3,X4,X5) = vg(X5,X3,X4)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_135])]) ).
fof(f5089,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X17,X15,X5,X12,X13] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
| ~ rpoint(X17)
| ~ rpoint(X18)
| vg(X17,X18,sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) = vg(sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),X17,X18) )
| ~ spl57_135
| ~ spl57_258 ),
inference(resolution,[],[f5058,f2357]) ).
fof(f2357,plain,
( ! [X3,X4,X5] :
( ~ rpoint(X5)
| ~ rpoint(X3)
| ~ rpoint(X4)
| vg(X3,X4,X5) = vg(X5,X3,X4) )
| ~ spl57_135 ),
inference(avatar_component_clause,[],[f2356]) ).
fof(f21605,plain,
( spl57_772
| ~ spl57_138
| ~ spl57_257 ),
inference(avatar_split_clause,[],[f5079,f5053,f2368,f21603]) ).
fof(f21603,plain,
( spl57_772
<=> ! [X7,X2,X3,X10,X0,X11,X18,X1,X8,X6,X9,X16,X14,X4,X17,X15,X5,X12,X13] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
| ~ rpoint(X17)
| ~ rpoint(X18)
| vg(X17,X18,sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) = sK23(X17,X18,sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_772])]) ).
fof(f5079,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X17,X15,X5,X12,X13] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
| ~ rpoint(X17)
| ~ rpoint(X18)
| vg(X17,X18,sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) = sK23(X17,X18,sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) )
| ~ spl57_138
| ~ spl57_257 ),
inference(resolution,[],[f5054,f2369]) ).
fof(f21601,plain,
( spl57_771
| ~ spl57_137
| ~ spl57_257 ),
inference(avatar_split_clause,[],[f5078,f5053,f2364,f21599]) ).
fof(f21599,plain,
( spl57_771
<=> ! [X7,X2,X3,X10,X0,X11,X18,X1,X8,X6,X9,X16,X14,X4,X17,X15,X5,X12,X13] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
| ~ rpoint(X17)
| ~ rpoint(X18)
| vg(X17,X18,sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) = vg(X17,sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),X18) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_771])]) ).
fof(f5078,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X17,X15,X5,X12,X13] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
| ~ rpoint(X17)
| ~ rpoint(X18)
| vg(X17,X18,sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) = vg(X17,sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),X18) )
| ~ spl57_137
| ~ spl57_257 ),
inference(resolution,[],[f5054,f2365]) ).
fof(f21597,plain,
( spl57_770
| ~ spl57_337
| ~ spl57_352
| ~ spl57_746 ),
inference(avatar_split_clause,[],[f21518,f21060,f9248,f8508,f21594]) ).
fof(f21594,plain,
( spl57_770
<=> vd684 = sK21(sK16(sK5),sK16(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_770])]) ).
fof(f8508,plain,
( spl57_337
<=> rpoint(sK16(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_337])]) ).
fof(f9248,plain,
( spl57_352
<=> vd684 = vf(sK16(sK5),sK16(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_352])]) ).
fof(f21518,plain,
( vd684 = sK21(sK16(sK5),sK16(sK5))
| ~ spl57_337
| ~ spl57_352
| ~ spl57_746 ),
inference(forward_demodulation,[],[f21483,f9250]) ).
fof(f9250,plain,
( vd684 = vf(sK16(sK5),sK16(sK5))
| ~ spl57_352 ),
inference(avatar_component_clause,[],[f9248]) ).
fof(f21483,plain,
( vf(sK16(sK5),sK16(sK5)) = sK21(sK16(sK5),sK16(sK5))
| ~ spl57_337
| ~ spl57_746 ),
inference(resolution,[],[f21061,f8509]) ).
fof(f8509,plain,
( rpoint(sK16(sK5))
| ~ spl57_337 ),
inference(avatar_component_clause,[],[f8508]) ).
fof(f21592,plain,
( spl57_769
| ~ spl57_135
| ~ spl57_257 ),
inference(avatar_split_clause,[],[f5077,f5053,f2356,f21590]) ).
fof(f21590,plain,
( spl57_769
<=> ! [X7,X2,X3,X10,X0,X11,X18,X1,X8,X6,X9,X16,X14,X4,X17,X15,X5,X12,X13] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
| ~ rpoint(X17)
| ~ rpoint(X18)
| vg(X17,X18,sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) = vg(sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),X17,X18) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_769])]) ).
fof(f5077,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X17,X15,X5,X12,X13] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
| ~ rpoint(X17)
| ~ rpoint(X18)
| vg(X17,X18,sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) = vg(sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),X17,X18) )
| ~ spl57_135
| ~ spl57_257 ),
inference(resolution,[],[f5054,f2357]) ).
fof(f21588,plain,
( spl57_768
| ~ spl57_138
| ~ spl57_256 ),
inference(avatar_split_clause,[],[f5067,f5049,f2368,f21586]) ).
fof(f21586,plain,
( spl57_768
<=> ! [X7,X2,X3,X10,X0,X11,X18,X1,X8,X6,X9,X16,X14,X4,X17,X15,X5,X12,X13] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
| ~ rpoint(X17)
| ~ rpoint(X18)
| vg(X17,X18,sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) = sK23(X17,X18,sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_768])]) ).
fof(f5067,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X17,X15,X5,X12,X13] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
| ~ rpoint(X17)
| ~ rpoint(X18)
| vg(X17,X18,sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) = sK23(X17,X18,sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) )
| ~ spl57_138
| ~ spl57_256 ),
inference(resolution,[],[f5050,f2369]) ).
fof(f21584,plain,
( spl57_767
| ~ spl57_137
| ~ spl57_256 ),
inference(avatar_split_clause,[],[f5066,f5049,f2364,f21582]) ).
fof(f21582,plain,
( spl57_767
<=> ! [X7,X2,X3,X10,X0,X11,X18,X1,X8,X6,X9,X16,X14,X4,X17,X15,X5,X12,X13] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
| ~ rpoint(X17)
| ~ rpoint(X18)
| vg(X17,X18,sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) = vg(X17,sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),X18) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_767])]) ).
fof(f5066,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X17,X15,X5,X12,X13] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
| ~ rpoint(X17)
| ~ rpoint(X18)
| vg(X17,X18,sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) = vg(X17,sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),X18) )
| ~ spl57_137
| ~ spl57_256 ),
inference(resolution,[],[f5050,f2365]) ).
fof(f21580,plain,
( spl57_766
| ~ spl57_135
| ~ spl57_256 ),
inference(avatar_split_clause,[],[f5065,f5049,f2356,f21578]) ).
fof(f21578,plain,
( spl57_766
<=> ! [X7,X2,X3,X10,X0,X11,X18,X1,X8,X6,X9,X16,X14,X4,X17,X15,X5,X12,X13] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
| ~ rpoint(X17)
| ~ rpoint(X18)
| vg(X17,X18,sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) = vg(sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),X17,X18) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_766])]) ).
fof(f5065,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X17,X15,X5,X12,X13] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
| ~ rpoint(X17)
| ~ rpoint(X18)
| vg(X17,X18,sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) = vg(sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),X17,X18) )
| ~ spl57_135
| ~ spl57_256 ),
inference(resolution,[],[f5050,f2357]) ).
fof(f21526,plain,
( spl57_765
| ~ spl57_134
| ~ spl57_262 ),
inference(avatar_split_clause,[],[f5221,f5213,f2346,f21524]) ).
fof(f21524,plain,
( spl57_765
<=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X15,X5,X12,X13] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
| ~ rpoint(sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
| ~ rpoint(X16)
| ~ rline(X14)
| rS(X16,sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),X14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_765])]) ).
fof(f5221,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X15,X5,X12,X13] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
| ~ rpoint(sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
| ~ rpoint(X16)
| ~ rline(X14)
| rS(X16,sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),X14) )
| ~ spl57_134
| ~ spl57_262 ),
inference(resolution,[],[f5214,f2347]) ).
fof(f21476,plain,
( spl57_764
| ~ spl57_129
| ~ spl57_262 ),
inference(avatar_split_clause,[],[f5222,f5213,f2308,f21474]) ).
fof(f21474,plain,
( spl57_764
<=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X15,X5,X12,X13] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
| ~ rpoint(sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
| ~ rpoint(X16)
| ~ rline(X14)
| ~ ron(sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),X14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_764])]) ).
fof(f2308,plain,
( spl57_129
<=> ! [X4,X5,X3] :
( ~ ron(X4,X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rline(X3)
| ~ rS(X4,X5,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_129])]) ).
fof(f5222,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X15,X5,X12,X13] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
| ~ rpoint(sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
| ~ rpoint(X16)
| ~ rline(X14)
| ~ ron(sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),X14) )
| ~ spl57_129
| ~ spl57_262 ),
inference(resolution,[],[f5214,f2309]) ).
fof(f2309,plain,
( ! [X3,X4,X5] :
( ~ rS(X4,X5,X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rline(X3)
| ~ ron(X4,X3) )
| ~ spl57_129 ),
inference(avatar_component_clause,[],[f2308]) ).
fof(f21472,plain,
( spl57_763
| ~ spl57_80
| ~ spl57_258 ),
inference(avatar_split_clause,[],[f5087,f5057,f2020,f21470]) ).
fof(f21470,plain,
( spl57_763
<=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X17,X15,X5,X12,X13] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
| ~ rpoint(X17)
| vf(X17,sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) = sK21(X17,sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_763])]) ).
fof(f2020,plain,
( spl57_80
<=> ! [X4,X3] :
( vf(X3,X4) = sK21(X3,X4)
| ~ rpoint(X3)
| ~ rpoint(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_80])]) ).
fof(f5087,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X17,X15,X5,X12,X13] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
| ~ rpoint(X17)
| vf(X17,sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) = sK21(X17,sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) )
| ~ spl57_80
| ~ spl57_258 ),
inference(resolution,[],[f5058,f2021]) ).
fof(f2021,plain,
( ! [X3,X4] :
( ~ rpoint(X4)
| ~ rpoint(X3)
| vf(X3,X4) = sK21(X3,X4) )
| ~ spl57_80 ),
inference(avatar_component_clause,[],[f2020]) ).
fof(f21468,plain,
( spl57_762
| ~ spl57_79
| ~ spl57_258 ),
inference(avatar_split_clause,[],[f5086,f5057,f2016,f21466]) ).
fof(f21466,plain,
( spl57_762
<=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X17,X15,X5,X12,X13] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
| ~ rpoint(X17)
| vf(sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),X17) = vf(X17,sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_762])]) ).
fof(f2016,plain,
( spl57_79
<=> ! [X2,X3] :
( vf(X3,X2) = vf(X2,X3)
| ~ rpoint(X2)
| ~ rpoint(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_79])]) ).
fof(f5086,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X17,X15,X5,X12,X13] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
| ~ rpoint(X17)
| vf(sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),X17) = vf(X17,sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) )
| ~ spl57_79
| ~ spl57_258 ),
inference(resolution,[],[f5058,f2017]) ).
fof(f2017,plain,
( ! [X2,X3] :
( ~ rpoint(X3)
| ~ rpoint(X2)
| vf(X3,X2) = vf(X2,X3) )
| ~ spl57_79 ),
inference(avatar_component_clause,[],[f2016]) ).
fof(f21464,plain,
( spl57_761
| ~ spl57_80
| ~ spl57_257 ),
inference(avatar_split_clause,[],[f5075,f5053,f2020,f21462]) ).
fof(f21462,plain,
( spl57_761
<=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X17,X15,X5,X12,X13] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
| ~ rpoint(X17)
| vf(X17,sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) = sK21(X17,sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_761])]) ).
fof(f5075,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X17,X15,X5,X12,X13] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
| ~ rpoint(X17)
| vf(X17,sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) = sK21(X17,sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) )
| ~ spl57_80
| ~ spl57_257 ),
inference(resolution,[],[f5054,f2021]) ).
fof(f21460,plain,
( spl57_760
| ~ spl57_79
| ~ spl57_257 ),
inference(avatar_split_clause,[],[f5074,f5053,f2016,f21458]) ).
fof(f21458,plain,
( spl57_760
<=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X17,X15,X5,X12,X13] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
| ~ rpoint(X17)
| vf(sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),X17) = vf(X17,sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_760])]) ).
fof(f5074,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X17,X15,X5,X12,X13] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
| ~ rpoint(X17)
| vf(sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),X17) = vf(X17,sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) )
| ~ spl57_79
| ~ spl57_257 ),
inference(resolution,[],[f5054,f2017]) ).
fof(f21456,plain,
( spl57_759
| ~ spl57_80
| ~ spl57_256 ),
inference(avatar_split_clause,[],[f5063,f5049,f2020,f21454]) ).
fof(f21454,plain,
( spl57_759
<=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X17,X15,X5,X12,X13] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
| ~ rpoint(X17)
| vf(X17,sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) = sK21(X17,sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_759])]) ).
fof(f5063,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X17,X15,X5,X12,X13] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
| ~ rpoint(X17)
| vf(X17,sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) = sK21(X17,sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) )
| ~ spl57_80
| ~ spl57_256 ),
inference(resolution,[],[f5050,f2021]) ).
fof(f21452,plain,
( spl57_758
| ~ spl57_79
| ~ spl57_256 ),
inference(avatar_split_clause,[],[f5062,f5049,f2016,f21450]) ).
fof(f21450,plain,
( spl57_758
<=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X17,X15,X5,X12,X13] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
| ~ rpoint(X17)
| vf(sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),X17) = vf(X17,sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_758])]) ).
fof(f5062,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X17,X15,X5,X12,X13] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
| ~ rpoint(X17)
| vf(sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),X17) = vf(X17,sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) )
| ~ spl57_79
| ~ spl57_256 ),
inference(resolution,[],[f5050,f2017]) ).
fof(f21160,plain,
( spl57_757
| ~ spl57_126
| ~ spl57_273 ),
inference(avatar_split_clause,[],[f5467,f5454,f2296,f21158]) ).
fof(f21158,plain,
( spl57_757
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ rline(X0)
| ~ rline(X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(sK27(X1,X6))
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X0)
| ~ ron(X5,X1)
| ~ ron(sK27(X1,X6),X2)
| ~ rS(X5,sK27(X1,X6),X0)
| ~ rS(X4,X5,X2)
| rS(X5,X6,X0)
| ~ rS(X5,X6,X2)
| ~ rpoint(X6)
| ron(X6,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_757])]) ).
fof(f2296,plain,
( spl57_126
<=> ! [X1,X3] :
( rS(sK27(X1,X3),X3,X1)
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_126])]) ).
fof(f5467,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ rline(X0)
| ~ rline(X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(sK27(X1,X6))
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X0)
| ~ ron(X5,X1)
| ~ ron(sK27(X1,X6),X2)
| ~ rS(X5,sK27(X1,X6),X0)
| ~ rS(X4,X5,X2)
| rS(X5,X6,X0)
| ~ rS(X5,X6,X2)
| ~ rpoint(X6)
| ron(X6,X1) )
| ~ spl57_126
| ~ spl57_273 ),
inference(duplicate_literal_removal,[],[f5462]) ).
fof(f5462,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ rline(X0)
| ~ rline(X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(sK27(X1,X6))
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X0)
| ~ ron(X5,X1)
| ~ ron(sK27(X1,X6),X2)
| ~ rS(X5,sK27(X1,X6),X0)
| ~ rS(X4,X5,X2)
| rS(X5,X6,X0)
| ~ rS(X5,X6,X2)
| ~ rline(X1)
| ~ rpoint(X6)
| ron(X6,X1) )
| ~ spl57_126
| ~ spl57_273 ),
inference(resolution,[],[f5455,f2297]) ).
fof(f2297,plain,
( ! [X3,X1] :
( rS(sK27(X1,X3),X3,X1)
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X3,X1) )
| ~ spl57_126 ),
inference(avatar_component_clause,[],[f2296]) ).
fof(f21156,plain,
( spl57_756
| ~ spl57_225
| ~ spl57_268 ),
inference(avatar_split_clause,[],[f5349,f5333,f4573,f21154]) ).
fof(f21154,plain,
( spl57_756
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ rline(X0)
| ~ rline(X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X0)
| ~ ron(X5,X2)
| ~ ron(X6,X2)
| ~ rS(X4,X6,X1)
| ~ rS(X4,X5,X2)
| rS(X6,X7,X0)
| rS(X5,X7,X0)
| ~ rpoint(X7)
| ron(X5,X0)
| ron(X6,X0)
| ron(X7,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_756])]) ).
fof(f5349,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ rline(X0)
| ~ rline(X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X0)
| ~ ron(X5,X2)
| ~ ron(X6,X2)
| ~ rS(X4,X6,X1)
| ~ rS(X4,X5,X2)
| rS(X6,X7,X0)
| rS(X5,X7,X0)
| ~ rpoint(X7)
| ron(X5,X0)
| ron(X6,X0)
| ron(X7,X0) )
| ~ spl57_225
| ~ spl57_268 ),
inference(duplicate_literal_removal,[],[f5337]) ).
fof(f5337,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ rline(X0)
| ~ rline(X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X0)
| ~ ron(X5,X2)
| ~ ron(X6,X2)
| ~ rS(X4,X6,X1)
| ~ rS(X4,X5,X2)
| rS(X6,X7,X0)
| rS(X5,X7,X0)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rline(X0)
| ron(X5,X0)
| ron(X6,X0)
| ron(X7,X0)
| ~ rpoint(X5) )
| ~ spl57_225
| ~ spl57_268 ),
inference(resolution,[],[f5334,f4574]) ).
fof(f21152,plain,
( spl57_755
| ~ spl57_225
| ~ spl57_268 ),
inference(avatar_split_clause,[],[f5348,f5333,f4573,f21150]) ).
fof(f21150,plain,
( spl57_755
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ rline(X0)
| ~ rline(X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X0)
| ~ ron(X5,X2)
| ~ ron(X6,X2)
| ~ rS(X4,X6,X1)
| ~ rS(X4,X5,X2)
| rS(X7,X6,X0)
| rS(X5,X7,X0)
| ~ rpoint(X7)
| ron(X5,X0)
| ron(X7,X0)
| ron(X6,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_755])]) ).
fof(f5348,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ rline(X0)
| ~ rline(X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X0)
| ~ ron(X5,X2)
| ~ ron(X6,X2)
| ~ rS(X4,X6,X1)
| ~ rS(X4,X5,X2)
| rS(X7,X6,X0)
| rS(X5,X7,X0)
| ~ rpoint(X7)
| ron(X5,X0)
| ron(X7,X0)
| ron(X6,X0) )
| ~ spl57_225
| ~ spl57_268 ),
inference(duplicate_literal_removal,[],[f5338]) ).
fof(f5338,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ rline(X0)
| ~ rline(X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X0)
| ~ ron(X5,X2)
| ~ ron(X6,X2)
| ~ rS(X4,X6,X1)
| ~ rS(X4,X5,X2)
| rS(X7,X6,X0)
| rS(X5,X7,X0)
| ~ rpoint(X7)
| ~ rpoint(X6)
| ~ rline(X0)
| ron(X5,X0)
| ron(X7,X0)
| ron(X6,X0)
| ~ rpoint(X5) )
| ~ spl57_225
| ~ spl57_268 ),
inference(resolution,[],[f5334,f4574]) ).
fof(f21148,plain,
( spl57_754
| ~ spl57_225
| ~ spl57_268 ),
inference(avatar_split_clause,[],[f5347,f5333,f4573,f21146]) ).
fof(f21146,plain,
( spl57_754
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ rline(X0)
| ~ rline(X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X0)
| ~ ron(X5,X2)
| ~ ron(X6,X2)
| ~ rS(X4,X6,X1)
| ~ rS(X4,X5,X2)
| rS(X7,X6,X0)
| rS(X7,X5,X0)
| ron(X7,X0)
| ron(X5,X0)
| ron(X6,X0)
| ~ rpoint(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_754])]) ).
fof(f5347,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ rline(X0)
| ~ rline(X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X0)
| ~ ron(X5,X2)
| ~ ron(X6,X2)
| ~ rS(X4,X6,X1)
| ~ rS(X4,X5,X2)
| rS(X7,X6,X0)
| rS(X7,X5,X0)
| ron(X7,X0)
| ron(X5,X0)
| ron(X6,X0)
| ~ rpoint(X7) )
| ~ spl57_225
| ~ spl57_268 ),
inference(duplicate_literal_removal,[],[f5339]) ).
fof(f5339,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ rline(X0)
| ~ rline(X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X0)
| ~ ron(X5,X2)
| ~ ron(X6,X2)
| ~ rS(X4,X6,X1)
| ~ rS(X4,X5,X2)
| rS(X7,X6,X0)
| rS(X7,X5,X0)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rline(X0)
| ron(X7,X0)
| ron(X5,X0)
| ron(X6,X0)
| ~ rpoint(X7) )
| ~ spl57_225
| ~ spl57_268 ),
inference(resolution,[],[f5334,f4574]) ).
fof(f21118,plain,
( spl57_753
| ~ spl57_169
| ~ spl57_268 ),
inference(avatar_split_clause,[],[f5345,f5333,f2762,f21116]) ).
fof(f21116,plain,
( spl57_753
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ rline(X0)
| ~ rline(X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(sK42(X0,X5,X6))
| ~ rpoint(X5)
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X0)
| ~ ron(sK42(X0,X5,X6),X2)
| ~ ron(X5,X2)
| ~ rS(X4,X5,X1)
| ~ rS(X4,sK42(X0,X5,X6),X2)
| ron(X5,X0)
| ~ rpoint(X6)
| ~ rS(X6,X5,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_753])]) ).
fof(f5345,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ rline(X0)
| ~ rline(X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(sK42(X0,X5,X6))
| ~ rpoint(X5)
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X0)
| ~ ron(sK42(X0,X5,X6),X2)
| ~ ron(X5,X2)
| ~ rS(X4,X5,X1)
| ~ rS(X4,sK42(X0,X5,X6),X2)
| ron(X5,X0)
| ~ rpoint(X6)
| ~ rS(X6,X5,X0) )
| ~ spl57_169
| ~ spl57_268 ),
inference(duplicate_literal_removal,[],[f5342]) ).
fof(f5342,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ rline(X0)
| ~ rline(X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(sK42(X0,X5,X6))
| ~ rpoint(X5)
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X0)
| ~ ron(sK42(X0,X5,X6),X2)
| ~ ron(X5,X2)
| ~ rS(X4,X5,X1)
| ~ rS(X4,sK42(X0,X5,X6),X2)
| ~ rline(X0)
| ~ rpoint(X5)
| ron(X5,X0)
| ~ rpoint(X6)
| ~ rS(X6,X5,X0) )
| ~ spl57_169
| ~ spl57_268 ),
inference(resolution,[],[f5334,f2763]) ).
fof(f21114,plain,
( spl57_752
| ~ spl57_337
| ~ spl57_350 ),
inference(avatar_split_clause,[],[f9174,f9148,f8508,f21112]) ).
fof(f21112,plain,
( spl57_752
<=> ! [X0] :
( vd684 = vg(sK16(sK5),sK16(sK5),sK16(X0))
| ~ rline(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_752])]) ).
fof(f9148,plain,
( spl57_350
<=> ! [X0,X1] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK16(X1))
| ~ rline(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_350])]) ).
fof(f9174,plain,
( ! [X0] :
( vd684 = vg(sK16(sK5),sK16(sK5),sK16(X0))
| ~ rline(X0) )
| ~ spl57_337
| ~ spl57_350 ),
inference(resolution,[],[f9149,f8509]) ).
fof(f9149,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK16(X1))
| ~ rline(X1) )
| ~ spl57_350 ),
inference(avatar_component_clause,[],[f9148]) ).
fof(f21084,plain,
( spl57_751
| ~ spl57_122
| ~ spl57_268 ),
inference(avatar_split_clause,[],[f5343,f5333,f2280,f21082]) ).
fof(f21082,plain,
( spl57_751
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ rline(X0)
| ~ rline(X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(sK52(X0,X5,X6,X7))
| ~ rpoint(X5)
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X0)
| ~ ron(sK52(X0,X5,X6,X7),X2)
| ~ ron(X5,X2)
| ~ rS(X4,X5,X1)
| ~ rS(X4,sK52(X0,X5,X6,X7),X2)
| ~ sP3(X0,X5,X6,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_751])]) ).
fof(f5343,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ rline(X0)
| ~ rline(X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(sK52(X0,X5,X6,X7))
| ~ rpoint(X5)
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X0)
| ~ ron(sK52(X0,X5,X6,X7),X2)
| ~ ron(X5,X2)
| ~ rS(X4,X5,X1)
| ~ rS(X4,sK52(X0,X5,X6,X7),X2)
| ~ sP3(X0,X5,X6,X7) )
| ~ spl57_122
| ~ spl57_268 ),
inference(resolution,[],[f5334,f2281]) ).
fof(f21080,plain,
( spl57_750
| ~ spl57_44
| ~ spl57_258 ),
inference(avatar_split_clause,[],[f5084,f5057,f1832,f21078]) ).
fof(f21078,plain,
( spl57_750
<=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X15,X5,X12,X13] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
| vd684 = vf(sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_750])]) ).
fof(f1832,plain,
( spl57_44
<=> ! [X3] :
( vd684 = vf(X3,X3)
| ~ rpoint(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_44])]) ).
fof(f5084,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X15,X5,X12,X13] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
| vd684 = vf(sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) )
| ~ spl57_44
| ~ spl57_258 ),
inference(resolution,[],[f5058,f1833]) ).
fof(f1833,plain,
( ! [X3] :
( ~ rpoint(X3)
| vd684 = vf(X3,X3) )
| ~ spl57_44 ),
inference(avatar_component_clause,[],[f1832]) ).
fof(f21076,plain,
( spl57_749
| ~ spl57_44
| ~ spl57_257 ),
inference(avatar_split_clause,[],[f5072,f5053,f1832,f21074]) ).
fof(f21074,plain,
( spl57_749
<=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X15,X5,X12,X13] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
| vd684 = vf(sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_749])]) ).
fof(f5072,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X15,X5,X12,X13] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
| vd684 = vf(sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) )
| ~ spl57_44
| ~ spl57_257 ),
inference(resolution,[],[f5054,f1833]) ).
fof(f21072,plain,
( spl57_748
| ~ spl57_44
| ~ spl57_256 ),
inference(avatar_split_clause,[],[f5060,f5049,f1832,f21070]) ).
fof(f21070,plain,
( spl57_748
<=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X15,X5,X12,X13] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
| vd684 = vf(sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_748])]) ).
fof(f5060,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X15,X5,X12,X13] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
| vd684 = vf(sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) )
| ~ spl57_44
| ~ spl57_256 ),
inference(resolution,[],[f5050,f1833]) ).
fof(f21066,plain,
( spl57_747
| ~ spl57_187
| ~ spl57_259 ),
inference(avatar_split_clause,[],[f5158,f5097,f3127,f21064]) ).
fof(f21064,plain,
( spl57_747
<=> ! [X7,X2,X3,X10,X0,X11,X18,X1,X8,X6,X9,X16,X14,X4,X17,X15,X5,X12,X13] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
| ~ rline(X14)
| ~ rpoint(X17)
| ~ rpoint(X18)
| ~ rpoint(sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
| ~ ron(X17,X14)
| ~ ron(X18,X14)
| ron(sK40(X14,X17,X18),X14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_747])]) ).
fof(f3127,plain,
( spl57_187
<=> ! [X7,X8,X6,X1] :
( ron(sK40(X1,X6,X7),X1)
| ~ rline(X1)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ ron(X6,X1)
| ~ ron(X7,X1)
| ~ ron(X8,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_187])]) ).
fof(f5158,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X17,X15,X5,X12,X13] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
| ~ rline(X14)
| ~ rpoint(X17)
| ~ rpoint(X18)
| ~ rpoint(sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
| ~ ron(X17,X14)
| ~ ron(X18,X14)
| ron(sK40(X14,X17,X18),X14) )
| ~ spl57_187
| ~ spl57_259 ),
inference(resolution,[],[f5098,f3128]) ).
fof(f3128,plain,
( ! [X1,X8,X6,X7] :
( ~ ron(X8,X1)
| ~ rline(X1)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ ron(X6,X1)
| ~ ron(X7,X1)
| ron(sK40(X1,X6,X7),X1) )
| ~ spl57_187 ),
inference(avatar_component_clause,[],[f3127]) ).
fof(f21062,plain,
( spl57_746
| ~ spl57_80
| ~ spl57_337 ),
inference(avatar_split_clause,[],[f9111,f8508,f2020,f21060]) ).
fof(f9111,plain,
( ! [X0] :
( ~ rpoint(X0)
| vf(X0,sK16(sK5)) = sK21(X0,sK16(sK5)) )
| ~ spl57_80
| ~ spl57_337 ),
inference(resolution,[],[f8509,f2021]) ).
fof(f21056,plain,
( spl57_745
| ~ spl57_186
| ~ spl57_259 ),
inference(avatar_split_clause,[],[f5157,f5097,f3041,f21054]) ).
fof(f21054,plain,
( spl57_745
<=> ! [X7,X2,X3,X10,X0,X11,X18,X1,X8,X6,X9,X16,X14,X4,X17,X15,X5,X12,X13] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
| ~ rline(X14)
| ~ rpoint(X17)
| ~ rpoint(X18)
| ~ rpoint(sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
| ~ ron(X17,X14)
| ~ ron(X18,X14)
| rpoint(sK40(X14,X17,X18)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_745])]) ).
fof(f3041,plain,
( spl57_186
<=> ! [X7,X8,X6,X1] :
( rpoint(sK40(X1,X6,X7))
| ~ rline(X1)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ ron(X6,X1)
| ~ ron(X7,X1)
| ~ ron(X8,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_186])]) ).
fof(f5157,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X18,X17,X15,X5,X12,X13] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
| ~ rline(X14)
| ~ rpoint(X17)
| ~ rpoint(X18)
| ~ rpoint(sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
| ~ ron(X17,X14)
| ~ ron(X18,X14)
| rpoint(sK40(X14,X17,X18)) )
| ~ spl57_186
| ~ spl57_259 ),
inference(resolution,[],[f5098,f3042]) ).
fof(f3042,plain,
( ! [X1,X8,X6,X7] :
( ~ ron(X8,X1)
| ~ rline(X1)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ ron(X6,X1)
| ~ ron(X7,X1)
| rpoint(sK40(X1,X6,X7)) )
| ~ spl57_186 ),
inference(avatar_component_clause,[],[f3041]) ).
fof(f20980,plain,
( spl57_744
| ~ spl57_150
| ~ spl57_184 ),
inference(avatar_split_clause,[],[f3074,f3033,f2561,f20978]) ).
fof(f20978,plain,
( spl57_744
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| vf(sK42(X1,X2,X3),vskolem1052(X0,X0,sK42(X1,X2,X3),sK42(X1,X2,X3))) = vf(vskolem1052(X0,X0,sK42(X1,X2,X3),sK42(X1,X2,X3)),X0)
| sK42(X1,X2,X3) = X0
| ~ rline(X1)
| ~ rpoint(X2)
| ron(X2,X1)
| ~ rpoint(X3)
| ~ rS(X3,X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_744])]) ).
fof(f2561,plain,
( spl57_150
<=> ! [X5,X1,X3] :
( rpoint(sK42(X1,X3,X5))
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X3,X1)
| ~ rpoint(X5)
| ~ rS(X5,X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_150])]) ).
fof(f3074,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| vf(sK42(X1,X2,X3),vskolem1052(X0,X0,sK42(X1,X2,X3),sK42(X1,X2,X3))) = vf(vskolem1052(X0,X0,sK42(X1,X2,X3),sK42(X1,X2,X3)),X0)
| sK42(X1,X2,X3) = X0
| ~ rline(X1)
| ~ rpoint(X2)
| ron(X2,X1)
| ~ rpoint(X3)
| ~ rS(X3,X2,X1) )
| ~ spl57_150
| ~ spl57_184 ),
inference(resolution,[],[f3034,f2562]) ).
fof(f2562,plain,
( ! [X3,X1,X5] :
( rpoint(sK42(X1,X3,X5))
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X3,X1)
| ~ rpoint(X5)
| ~ rS(X5,X3,X1) )
| ~ spl57_150 ),
inference(avatar_component_clause,[],[f2561]) ).
fof(f20940,plain,
( spl57_743
| ~ spl57_144
| ~ spl57_184 ),
inference(avatar_split_clause,[],[f3075,f3033,f2520,f20938]) ).
fof(f20938,plain,
( spl57_743
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| vf(sK44(X1,X2,X3),vskolem1052(X0,X0,sK44(X1,X2,X3),sK44(X1,X2,X3))) = vf(vskolem1052(X0,X0,sK44(X1,X2,X3),sK44(X1,X2,X3)),X0)
| sK44(X1,X2,X3) = X0
| ~ rline(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ ron(X2,X1)
| ~ ron(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_743])]) ).
fof(f2520,plain,
( spl57_144
<=> ! [X5,X1,X3] :
( rpoint(sK44(X1,X3,X5))
| ~ rline(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ ron(X3,X1)
| ~ ron(X5,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_144])]) ).
fof(f3075,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| vf(sK44(X1,X2,X3),vskolem1052(X0,X0,sK44(X1,X2,X3),sK44(X1,X2,X3))) = vf(vskolem1052(X0,X0,sK44(X1,X2,X3),sK44(X1,X2,X3)),X0)
| sK44(X1,X2,X3) = X0
| ~ rline(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ ron(X2,X1)
| ~ ron(X3,X1) )
| ~ spl57_144
| ~ spl57_184 ),
inference(resolution,[],[f3034,f2521]) ).
fof(f2521,plain,
( ! [X3,X1,X5] :
( rpoint(sK44(X1,X3,X5))
| ~ rline(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ ron(X3,X1)
| ~ ron(X5,X1) )
| ~ spl57_144 ),
inference(avatar_component_clause,[],[f2520]) ).
fof(f20908,plain,
( spl57_742
| ~ spl57_126
| ~ spl57_268 ),
inference(avatar_split_clause,[],[f5346,f5333,f2296,f20906]) ).
fof(f20906,plain,
( spl57_742
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ rline(X0)
| ~ rline(X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(sK27(X0,X5))
| ~ rpoint(X5)
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X0)
| ~ ron(sK27(X0,X5),X2)
| ~ ron(X5,X2)
| ~ rS(X4,X5,X1)
| ~ rS(X4,sK27(X0,X5),X2)
| ron(X5,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_742])]) ).
fof(f5346,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ rline(X0)
| ~ rline(X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(sK27(X0,X5))
| ~ rpoint(X5)
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X0)
| ~ ron(sK27(X0,X5),X2)
| ~ ron(X5,X2)
| ~ rS(X4,X5,X1)
| ~ rS(X4,sK27(X0,X5),X2)
| ron(X5,X0) )
| ~ spl57_126
| ~ spl57_268 ),
inference(duplicate_literal_removal,[],[f5341]) ).
fof(f5341,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ rline(X0)
| ~ rline(X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(sK27(X0,X5))
| ~ rpoint(X5)
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X0)
| ~ ron(sK27(X0,X5),X2)
| ~ ron(X5,X2)
| ~ rS(X4,X5,X1)
| ~ rS(X4,sK27(X0,X5),X2)
| ~ rline(X0)
| ~ rpoint(X5)
| ron(X5,X0) )
| ~ spl57_126
| ~ spl57_268 ),
inference(resolution,[],[f5334,f2297]) ).
fof(f20904,plain,
( spl57_741
| ~ spl57_79
| ~ spl57_337 ),
inference(avatar_split_clause,[],[f9110,f8508,f2016,f20902]) ).
fof(f20902,plain,
( spl57_741
<=> ! [X0] :
( ~ rpoint(X0)
| vf(sK16(sK5),X0) = vf(X0,sK16(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_741])]) ).
fof(f9110,plain,
( ! [X0] :
( ~ rpoint(X0)
| vf(sK16(sK5),X0) = vf(X0,sK16(sK5)) )
| ~ spl57_79
| ~ spl57_337 ),
inference(resolution,[],[f8509,f2017]) ).
fof(f20900,plain,
( spl57_740
| ~ spl57_75
| ~ spl57_184 ),
inference(avatar_split_clause,[],[f3076,f3033,f1999,f20898]) ).
fof(f20898,plain,
( spl57_740
<=> ! [X4,X0,X3,X2,X1] :
( ~ rpoint(X0)
| vf(sK52(X1,X2,X3,X4),vskolem1052(X0,X0,sK52(X1,X2,X3,X4),sK52(X1,X2,X3,X4))) = vf(vskolem1052(X0,X0,sK52(X1,X2,X3,X4),sK52(X1,X2,X3,X4)),X0)
| sK52(X1,X2,X3,X4) = X0
| ~ sP3(X1,X2,X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_740])]) ).
fof(f1999,plain,
( spl57_75
<=> ! [X0,X3,X2,X1] :
( rpoint(sK52(X0,X1,X2,X3))
| ~ sP3(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_75])]) ).
fof(f3076,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ rpoint(X0)
| vf(sK52(X1,X2,X3,X4),vskolem1052(X0,X0,sK52(X1,X2,X3,X4),sK52(X1,X2,X3,X4))) = vf(vskolem1052(X0,X0,sK52(X1,X2,X3,X4),sK52(X1,X2,X3,X4)),X0)
| sK52(X1,X2,X3,X4) = X0
| ~ sP3(X1,X2,X3,X4) )
| ~ spl57_75
| ~ spl57_184 ),
inference(resolution,[],[f3034,f2000]) ).
fof(f2000,plain,
( ! [X2,X3,X0,X1] :
( rpoint(sK52(X0,X1,X2,X3))
| ~ sP3(X0,X1,X2,X3) )
| ~ spl57_75 ),
inference(avatar_component_clause,[],[f1999]) ).
fof(f20896,plain,
( spl57_739
| ~ spl57_74
| ~ spl57_184 ),
inference(avatar_split_clause,[],[f3073,f3033,f1995,f20894]) ).
fof(f20894,plain,
( spl57_739
<=> ! [X4,X0,X3,X2,X1] :
( ~ rpoint(X0)
| vf(sK39(X1,X2,X3,X4),vskolem1052(X0,X0,sK39(X1,X2,X3,X4),sK39(X1,X2,X3,X4))) = vf(vskolem1052(X0,X0,sK39(X1,X2,X3,X4),sK39(X1,X2,X3,X4)),X0)
| sK39(X1,X2,X3,X4) = X0
| ~ sP2(X1,X2,X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_739])]) ).
fof(f1995,plain,
( spl57_74
<=> ! [X0,X3,X2,X1] :
( rpoint(sK39(X0,X1,X2,X3))
| ~ sP2(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_74])]) ).
fof(f3073,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ rpoint(X0)
| vf(sK39(X1,X2,X3,X4),vskolem1052(X0,X0,sK39(X1,X2,X3,X4),sK39(X1,X2,X3,X4))) = vf(vskolem1052(X0,X0,sK39(X1,X2,X3,X4),sK39(X1,X2,X3,X4)),X0)
| sK39(X1,X2,X3,X4) = X0
| ~ sP2(X1,X2,X3,X4) )
| ~ spl57_74
| ~ spl57_184 ),
inference(resolution,[],[f3034,f1996]) ).
fof(f1996,plain,
( ! [X2,X3,X0,X1] :
( rpoint(sK39(X0,X1,X2,X3))
| ~ sP2(X0,X1,X2,X3) )
| ~ spl57_74 ),
inference(avatar_component_clause,[],[f1995]) ).
fof(f20862,plain,
( ~ spl57_9
| ~ spl57_8
| spl57_738
| ~ spl57_21
| ~ spl57_273 ),
inference(avatar_split_clause,[],[f5461,f5454,f1737,f20860,f1672,f1677]) ).
fof(f20860,plain,
( spl57_738
<=> ! [X2,X4,X0,X3,X1] :
( ~ rline(X0)
| ~ rS(X4,vd1409,X1)
| rS(X4,vd1409,X0)
| ~ rS(X3,X4,X1)
| ~ ron(sK8,X1)
| ~ ron(X2,X1)
| ~ ron(X2,vd1407)
| ~ rpoint(X4)
| ~ rS(X4,sK8,X0)
| ~ ron(X4,vd1407)
| ~ rpoint(X3)
| ~ ron(X3,X0)
| ~ rpoint(X2)
| ~ ron(X2,X0)
| ~ rline(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_738])]) ).
fof(f1737,plain,
( spl57_21
<=> rS(sK8,vd1409,vd1407) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_21])]) ).
fof(f5461,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ rline(X0)
| ~ rline(vd1407)
| ~ rline(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(sK8)
| ~ ron(X2,X0)
| ~ ron(X2,vd1407)
| ~ ron(X2,X1)
| ~ ron(X3,X0)
| ~ ron(X4,vd1407)
| ~ ron(sK8,X1)
| ~ rS(X4,sK8,X0)
| ~ rS(X3,X4,X1)
| rS(X4,vd1409,X0)
| ~ rS(X4,vd1409,X1) )
| ~ spl57_21
| ~ spl57_273 ),
inference(resolution,[],[f5455,f1739]) ).
fof(f1739,plain,
( rS(sK8,vd1409,vd1407)
| ~ spl57_21 ),
inference(avatar_component_clause,[],[f1737]) ).
fof(f20745,plain,
( spl57_737
| ~ spl57_81
| ~ spl57_184 ),
inference(avatar_split_clause,[],[f3060,f3033,f2024,f20743]) ).
fof(f20743,plain,
( spl57_737
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| vf(sK22(X1,X2,X3),vskolem1052(X0,X0,sK22(X1,X2,X3),sK22(X1,X2,X3))) = vf(vskolem1052(X0,X0,sK22(X1,X2,X3),sK22(X1,X2,X3)),X0)
| sK22(X1,X2,X3) = X0
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_737])]) ).
fof(f2024,plain,
( spl57_81
<=> ! [X6,X4,X5] :
( rpoint(sK22(X4,X5,X6))
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_81])]) ).
fof(f3060,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| vf(sK22(X1,X2,X3),vskolem1052(X0,X0,sK22(X1,X2,X3),sK22(X1,X2,X3))) = vf(vskolem1052(X0,X0,sK22(X1,X2,X3),sK22(X1,X2,X3)),X0)
| sK22(X1,X2,X3) = X0
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3) )
| ~ spl57_81
| ~ spl57_184 ),
inference(resolution,[],[f3034,f2025]) ).
fof(f2025,plain,
( ! [X6,X4,X5] :
( rpoint(sK22(X4,X5,X6))
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6) )
| ~ spl57_81 ),
inference(avatar_component_clause,[],[f2024]) ).
fof(f20741,plain,
( spl57_736
| ~ spl57_145
| ~ spl57_150 ),
inference(avatar_split_clause,[],[f2613,f2561,f2540,f20739]) ).
fof(f20739,plain,
( spl57_736
<=> ! [X0,X3,X2,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| ~ rpoint(X2)
| ~ rS(X2,X1,X0)
| ~ rpoint(X3)
| vf(X3,sK42(X0,X1,X2)) = vf(sK42(X0,X1,X2),vskolem1052(X3,X3,sK42(X0,X1,X2),sK42(X0,X1,X2)))
| sK42(X0,X1,X2) = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_736])]) ).
fof(f2613,plain,
( ! [X2,X3,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| ~ rpoint(X2)
| ~ rS(X2,X1,X0)
| ~ rpoint(X3)
| vf(X3,sK42(X0,X1,X2)) = vf(sK42(X0,X1,X2),vskolem1052(X3,X3,sK42(X0,X1,X2),sK42(X0,X1,X2)))
| sK42(X0,X1,X2) = X3 )
| ~ spl57_145
| ~ spl57_150 ),
inference(resolution,[],[f2562,f2541]) ).
fof(f20701,plain,
( spl57_735
| ~ spl57_70
| ~ spl57_258 ),
inference(avatar_split_clause,[],[f5085,f5057,f1960,f20699]) ).
fof(f20699,plain,
( spl57_735
<=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X17,X15,X5,X12,X13] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
| ~ rpoint(X17)
| vd684 = vg(X17,X17,sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_735])]) ).
fof(f5085,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X17,X15,X5,X12,X13] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
| ~ rpoint(X17)
| vd684 = vg(X17,X17,sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) )
| ~ spl57_70
| ~ spl57_258 ),
inference(resolution,[],[f5058,f1961]) ).
fof(f20697,plain,
( spl57_734
| ~ spl57_70
| ~ spl57_257 ),
inference(avatar_split_clause,[],[f5073,f5053,f1960,f20695]) ).
fof(f20695,plain,
( spl57_734
<=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X17,X15,X5,X12,X13] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
| ~ rpoint(X17)
| vd684 = vg(X17,X17,sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_734])]) ).
fof(f5073,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X17,X15,X5,X12,X13] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
| ~ rpoint(X17)
| vd684 = vg(X17,X17,sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) )
| ~ spl57_70
| ~ spl57_257 ),
inference(resolution,[],[f5054,f1961]) ).
fof(f20693,plain,
( spl57_733
| ~ spl57_70
| ~ spl57_256 ),
inference(avatar_split_clause,[],[f5061,f5049,f1960,f20691]) ).
fof(f20691,plain,
( spl57_733
<=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X17,X15,X5,X12,X13] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
| ~ rpoint(X17)
| vd684 = vg(X17,X17,sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_733])]) ).
fof(f5061,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X17,X15,X5,X12,X13] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)
| ~ rpoint(X17)
| vd684 = vg(X17,X17,sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) )
| ~ spl57_70
| ~ spl57_256 ),
inference(resolution,[],[f5050,f1961]) ).
fof(f20689,plain,
( spl57_732
| ~ spl57_144
| ~ spl57_145 ),
inference(avatar_split_clause,[],[f2603,f2540,f2520,f20687]) ).
fof(f20687,plain,
( spl57_732
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| vf(X0,sK44(X1,X2,X3)) = vf(sK44(X1,X2,X3),vskolem1052(X0,X0,sK44(X1,X2,X3),sK44(X1,X2,X3)))
| sK44(X1,X2,X3) = X0
| ~ rline(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ ron(X2,X1)
| ~ ron(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_732])]) ).
fof(f2603,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK44(X1,X2,X3)) = vf(sK44(X1,X2,X3),vskolem1052(X0,X0,sK44(X1,X2,X3),sK44(X1,X2,X3)))
| sK44(X1,X2,X3) = X0
| ~ rline(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ ron(X2,X1)
| ~ ron(X3,X1) )
| ~ spl57_144
| ~ spl57_145 ),
inference(resolution,[],[f2541,f2521]) ).
fof(f20683,plain,
( spl57_731
| ~ spl57_75
| ~ spl57_145 ),
inference(avatar_split_clause,[],[f2604,f2540,f1999,f20681]) ).
fof(f20681,plain,
( spl57_731
<=> ! [X4,X0,X3,X2,X1] :
( ~ rpoint(X0)
| vf(X0,sK52(X1,X2,X3,X4)) = vf(sK52(X1,X2,X3,X4),vskolem1052(X0,X0,sK52(X1,X2,X3,X4),sK52(X1,X2,X3,X4)))
| sK52(X1,X2,X3,X4) = X0
| ~ sP3(X1,X2,X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_731])]) ).
fof(f2604,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ rpoint(X0)
| vf(X0,sK52(X1,X2,X3,X4)) = vf(sK52(X1,X2,X3,X4),vskolem1052(X0,X0,sK52(X1,X2,X3,X4),sK52(X1,X2,X3,X4)))
| sK52(X1,X2,X3,X4) = X0
| ~ sP3(X1,X2,X3,X4) )
| ~ spl57_75
| ~ spl57_145 ),
inference(resolution,[],[f2541,f2000]) ).
fof(f20679,plain,
( spl57_730
| ~ spl57_74
| ~ spl57_145 ),
inference(avatar_split_clause,[],[f2602,f2540,f1995,f20677]) ).
fof(f20677,plain,
( spl57_730
<=> ! [X4,X0,X3,X2,X1] :
( ~ rpoint(X0)
| vf(X0,sK39(X1,X2,X3,X4)) = vf(sK39(X1,X2,X3,X4),vskolem1052(X0,X0,sK39(X1,X2,X3,X4),sK39(X1,X2,X3,X4)))
| sK39(X1,X2,X3,X4) = X0
| ~ sP2(X1,X2,X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_730])]) ).
fof(f2602,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ rpoint(X0)
| vf(X0,sK39(X1,X2,X3,X4)) = vf(sK39(X1,X2,X3,X4),vskolem1052(X0,X0,sK39(X1,X2,X3,X4),sK39(X1,X2,X3,X4)))
| sK39(X1,X2,X3,X4) = X0
| ~ sP2(X1,X2,X3,X4) )
| ~ spl57_74
| ~ spl57_145 ),
inference(resolution,[],[f2541,f1996]) ).
fof(f20675,plain,
( spl57_729
| ~ spl57_337
| ~ spl57_643 ),
inference(avatar_split_clause,[],[f18151,f18102,f8508,f20672]) ).
fof(f20672,plain,
( spl57_729
<=> vd684 = vg(sK16(sK5),sK16(sK5),sK17(sK16(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_729])]) ).
fof(f18102,plain,
( spl57_643
<=> ! [X0] :
( vd684 = vg(X0,X0,sK17(sK16(sK5)))
| ~ rpoint(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_643])]) ).
fof(f18151,plain,
( vd684 = vg(sK16(sK5),sK16(sK5),sK17(sK16(sK5)))
| ~ spl57_337
| ~ spl57_643 ),
inference(resolution,[],[f18103,f8509]) ).
fof(f18103,plain,
( ! [X0] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK17(sK16(sK5))) )
| ~ spl57_643 ),
inference(avatar_component_clause,[],[f18102]) ).
fof(f20640,plain,
( ~ spl57_7
| ~ spl57_9
| spl57_728
| ~ spl57_8
| ~ spl57_21
| ~ spl57_268 ),
inference(avatar_split_clause,[],[f5340,f5333,f1737,f1672,f20638,f1677,f1667]) ).
fof(f20638,plain,
( spl57_728
<=> ! [X0,X3,X2,X1] :
( ~ rline(X0)
| ~ rS(X3,sK8,X1)
| ~ ron(vd1409,X1)
| ~ ron(sK8,X1)
| ~ ron(X2,X1)
| ~ rpoint(X3)
| ~ rS(X3,vd1409,X0)
| ~ ron(X3,vd1407)
| ~ rpoint(X2)
| ~ ron(X2,X0)
| ~ ron(X2,vd1407)
| ~ rline(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_728])]) ).
fof(f5340,plain,
( ! [X2,X3,X0,X1] :
( ~ rline(vd1407)
| ~ rline(X0)
| ~ rline(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(sK8)
| ~ rpoint(vd1409)
| ~ ron(X2,vd1407)
| ~ ron(X2,X0)
| ~ ron(X2,X1)
| ~ ron(X3,vd1407)
| ~ ron(sK8,X1)
| ~ ron(vd1409,X1)
| ~ rS(X3,vd1409,X0)
| ~ rS(X3,sK8,X1) )
| ~ spl57_21
| ~ spl57_268 ),
inference(resolution,[],[f5334,f1739]) ).
fof(f20514,plain,
( spl57_727
| ~ spl57_93
| ~ spl57_184 ),
inference(avatar_split_clause,[],[f3071,f3033,f2072,f20512]) ).
fof(f20512,plain,
( spl57_727
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(sK35(X1,X2),vskolem1052(X0,X0,sK35(X1,X2),sK35(X1,X2))) = vf(vskolem1052(X0,X0,sK35(X1,X2),sK35(X1,X2)),X0)
| sK35(X1,X2) = X0
| ~ rline(X1)
| ~ rpoint(X2)
| ~ ron(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_727])]) ).
fof(f2072,plain,
( spl57_93
<=> ! [X1,X3] :
( rpoint(sK35(X1,X3))
| ~ rline(X1)
| ~ rpoint(X3)
| ~ ron(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_93])]) ).
fof(f3071,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(sK35(X1,X2),vskolem1052(X0,X0,sK35(X1,X2),sK35(X1,X2))) = vf(vskolem1052(X0,X0,sK35(X1,X2),sK35(X1,X2)),X0)
| sK35(X1,X2) = X0
| ~ rline(X1)
| ~ rpoint(X2)
| ~ ron(X2,X1) )
| ~ spl57_93
| ~ spl57_184 ),
inference(resolution,[],[f3034,f2073]) ).
fof(f2073,plain,
( ! [X3,X1] :
( rpoint(sK35(X1,X3))
| ~ rline(X1)
| ~ rpoint(X3)
| ~ ron(X3,X1) )
| ~ spl57_93 ),
inference(avatar_component_clause,[],[f2072]) ).
fof(f20510,plain,
( spl57_726
| ~ spl57_91
| ~ spl57_184 ),
inference(avatar_split_clause,[],[f3069,f3033,f2064,f20508]) ).
fof(f20508,plain,
( spl57_726
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(sK33(X1,X2),vskolem1052(X0,X0,sK33(X1,X2),sK33(X1,X2))) = vf(vskolem1052(X0,X0,sK33(X1,X2),sK33(X1,X2)),X0)
| sK33(X1,X2) = X0
| ~ rline(X1)
| ~ rline(X2)
| ~ rintersect(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_726])]) ).
fof(f2064,plain,
( spl57_91
<=> ! [X1,X3] :
( rpoint(sK33(X1,X3))
| ~ rline(X1)
| ~ rline(X3)
| ~ rintersect(X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_91])]) ).
fof(f3069,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(sK33(X1,X2),vskolem1052(X0,X0,sK33(X1,X2),sK33(X1,X2))) = vf(vskolem1052(X0,X0,sK33(X1,X2),sK33(X1,X2)),X0)
| sK33(X1,X2) = X0
| ~ rline(X1)
| ~ rline(X2)
| ~ rintersect(X1,X2) )
| ~ spl57_91
| ~ spl57_184 ),
inference(resolution,[],[f3034,f2065]) ).
fof(f2065,plain,
( ! [X3,X1] :
( rpoint(sK33(X1,X3))
| ~ rline(X1)
| ~ rline(X3)
| ~ rintersect(X1,X3) )
| ~ spl57_91 ),
inference(avatar_component_clause,[],[f2064]) ).
fof(f20506,plain,
( spl57_725
| ~ spl57_87
| ~ spl57_184 ),
inference(avatar_split_clause,[],[f3064,f3033,f2048,f20504]) ).
fof(f20504,plain,
( spl57_725
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(sK28(X1,X2),vskolem1052(X0,X0,sK28(X1,X2),sK28(X1,X2))) = vf(vskolem1052(X0,X0,sK28(X1,X2),sK28(X1,X2)),X0)
| sK28(X1,X2) = X0
| ~ rline(X1)
| ~ rpoint(X2)
| ron(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_725])]) ).
fof(f2048,plain,
( spl57_87
<=> ! [X1,X3] :
( rpoint(sK28(X1,X3))
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_87])]) ).
fof(f3064,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(sK28(X1,X2),vskolem1052(X0,X0,sK28(X1,X2),sK28(X1,X2))) = vf(vskolem1052(X0,X0,sK28(X1,X2),sK28(X1,X2)),X0)
| sK28(X1,X2) = X0
| ~ rline(X1)
| ~ rpoint(X2)
| ron(X2,X1) )
| ~ spl57_87
| ~ spl57_184 ),
inference(resolution,[],[f3034,f2049]) ).
fof(f2049,plain,
( ! [X3,X1] :
( rpoint(sK28(X1,X3))
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X3,X1) )
| ~ spl57_87 ),
inference(avatar_component_clause,[],[f2048]) ).
fof(f20502,plain,
( spl57_724
| ~ spl57_86
| ~ spl57_184 ),
inference(avatar_split_clause,[],[f3063,f3033,f2044,f20500]) ).
fof(f20500,plain,
( spl57_724
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(sK27(X1,X2),vskolem1052(X0,X0,sK27(X1,X2),sK27(X1,X2))) = vf(vskolem1052(X0,X0,sK27(X1,X2),sK27(X1,X2)),X0)
| sK27(X1,X2) = X0
| ~ rline(X1)
| ~ rpoint(X2)
| ron(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_724])]) ).
fof(f2044,plain,
( spl57_86
<=> ! [X1,X3] :
( rpoint(sK27(X1,X3))
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_86])]) ).
fof(f3063,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(sK27(X1,X2),vskolem1052(X0,X0,sK27(X1,X2),sK27(X1,X2))) = vf(vskolem1052(X0,X0,sK27(X1,X2),sK27(X1,X2)),X0)
| sK27(X1,X2) = X0
| ~ rline(X1)
| ~ rpoint(X2)
| ron(X2,X1) )
| ~ spl57_86
| ~ spl57_184 ),
inference(resolution,[],[f3034,f2045]) ).
fof(f2045,plain,
( ! [X3,X1] :
( rpoint(sK27(X1,X3))
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X3,X1) )
| ~ spl57_86 ),
inference(avatar_component_clause,[],[f2044]) ).
fof(f20420,plain,
( spl57_723
| ~ spl57_83
| ~ spl57_268 ),
inference(avatar_split_clause,[],[f5350,f5333,f2032,f20418]) ).
fof(f20418,plain,
( spl57_723
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ rline(X0)
| ~ rline(X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X0)
| ~ ron(X5,X2)
| ~ rS(X4,X5,X1)
| ~ rS(X4,X5,X2)
| ron(X5,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_723])]) ).
fof(f2032,plain,
( spl57_83
<=> ! [X1,X3] :
( rS(X1,X1,X3)
| ~ rpoint(X1)
| ~ rline(X3)
| ron(X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_83])]) ).
fof(f5350,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ rline(X0)
| ~ rline(X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X0)
| ~ ron(X5,X2)
| ~ rS(X4,X5,X1)
| ~ rS(X4,X5,X2)
| ron(X5,X0) )
| ~ spl57_83
| ~ spl57_268 ),
inference(duplicate_literal_removal,[],[f5336]) ).
fof(f5336,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ rline(X0)
| ~ rline(X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X5)
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X0)
| ~ ron(X5,X2)
| ~ ron(X5,X2)
| ~ rS(X4,X5,X1)
| ~ rS(X4,X5,X2)
| ~ rpoint(X5)
| ~ rline(X0)
| ron(X5,X0) )
| ~ spl57_83
| ~ spl57_268 ),
inference(resolution,[],[f5334,f2033]) ).
fof(f2033,plain,
( ! [X3,X1] :
( rS(X1,X1,X3)
| ~ rpoint(X1)
| ~ rline(X3)
| ron(X1,X3) )
| ~ spl57_83 ),
inference(avatar_component_clause,[],[f2032]) ).
fof(f20375,plain,
( spl57_722
| ~ spl57_81
| ~ spl57_145 ),
inference(avatar_split_clause,[],[f2591,f2540,f2024,f20373]) ).
fof(f20373,plain,
( spl57_722
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| vf(X0,sK22(X1,X2,X3)) = vf(sK22(X1,X2,X3),vskolem1052(X0,X0,sK22(X1,X2,X3),sK22(X1,X2,X3)))
| sK22(X1,X2,X3) = X0
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_722])]) ).
fof(f2591,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK22(X1,X2,X3)) = vf(sK22(X1,X2,X3),vskolem1052(X0,X0,sK22(X1,X2,X3),sK22(X1,X2,X3)))
| sK22(X1,X2,X3) = X0
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3) )
| ~ spl57_81
| ~ spl57_145 ),
inference(resolution,[],[f2541,f2025]) ).
fof(f20330,plain,
( spl57_721
| ~ spl57_56
| ~ spl57_184 ),
inference(avatar_split_clause,[],[f3059,f3033,f1897,f20328]) ).
fof(f20328,plain,
( spl57_721
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(sK20(X1,X2),vskolem1052(X0,X0,sK20(X1,X2),sK20(X1,X2))) = vf(vskolem1052(X0,X0,sK20(X1,X2),sK20(X1,X2)),X0)
| sK20(X1,X2) = X0
| ~ rpoint(X1)
| ~ rpoint(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_721])]) ).
fof(f1897,plain,
( spl57_56
<=> ! [X4,X3] :
( rpoint(sK20(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_56])]) ).
fof(f3059,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(sK20(X1,X2),vskolem1052(X0,X0,sK20(X1,X2),sK20(X1,X2))) = vf(vskolem1052(X0,X0,sK20(X1,X2),sK20(X1,X2)),X0)
| sK20(X1,X2) = X0
| ~ rpoint(X1)
| ~ rpoint(X2) )
| ~ spl57_56
| ~ spl57_184 ),
inference(resolution,[],[f3034,f1898]) ).
fof(f1898,plain,
( ! [X3,X4] :
( rpoint(sK20(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4) )
| ~ spl57_56 ),
inference(avatar_component_clause,[],[f1897]) ).
fof(f20110,plain,
( spl57_720
| ~ spl57_168
| ~ spl57_225 ),
inference(avatar_split_clause,[],[f4616,f4573,f2758,f20108]) ).
fof(f20108,plain,
( spl57_720
<=> ! [X4,X0,X3,X2,X1] :
( rS(X3,X1,X2)
| rS(X3,X0,X2)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rline(X2)
| ron(X3,X2)
| ron(X0,X2)
| ron(X1,X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rS(X0,X4,X2)
| rS(X4,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_720])]) ).
fof(f4616,plain,
( ! [X2,X3,X0,X1,X4] :
( rS(X3,X1,X2)
| rS(X3,X0,X2)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rline(X2)
| ron(X3,X2)
| ron(X0,X2)
| ron(X1,X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rS(X0,X4,X2)
| rS(X4,X1,X2) )
| ~ spl57_168
| ~ spl57_225 ),
inference(duplicate_literal_removal,[],[f4589]) ).
fof(f4589,plain,
( ! [X2,X3,X0,X1,X4] :
( rS(X3,X1,X2)
| rS(X3,X0,X2)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rline(X2)
| ron(X3,X2)
| ron(X0,X2)
| ron(X1,X2)
| ~ rpoint(X3)
| ~ rpoint(X0)
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ rline(X2)
| ~ rS(X0,X4,X2)
| rS(X4,X1,X2) )
| ~ spl57_168
| ~ spl57_225 ),
inference(resolution,[],[f4574,f2759]) ).
fof(f20106,plain,
( spl57_719
| ~ spl57_168
| ~ spl57_225 ),
inference(avatar_split_clause,[],[f4612,f4573,f2758,f20104]) ).
fof(f20104,plain,
( spl57_719
<=> ! [X4,X0,X3,X2,X1] :
( rS(X3,X1,X2)
| rS(X0,X3,X2)
| ~ rpoint(X3)
| ~ rpoint(X1)
| ~ rline(X2)
| ron(X0,X2)
| ron(X3,X2)
| ron(X1,X2)
| ~ rpoint(X0)
| ~ rpoint(X4)
| ~ rS(X0,X4,X2)
| rS(X4,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_719])]) ).
fof(f4612,plain,
( ! [X2,X3,X0,X1,X4] :
( rS(X3,X1,X2)
| rS(X0,X3,X2)
| ~ rpoint(X3)
| ~ rpoint(X1)
| ~ rline(X2)
| ron(X0,X2)
| ron(X3,X2)
| ron(X1,X2)
| ~ rpoint(X0)
| ~ rpoint(X4)
| ~ rS(X0,X4,X2)
| rS(X4,X1,X2) )
| ~ spl57_168
| ~ spl57_225 ),
inference(duplicate_literal_removal,[],[f4593]) ).
fof(f4593,plain,
( ! [X2,X3,X0,X1,X4] :
( rS(X3,X1,X2)
| rS(X0,X3,X2)
| ~ rpoint(X3)
| ~ rpoint(X1)
| ~ rline(X2)
| ron(X0,X2)
| ron(X3,X2)
| ron(X1,X2)
| ~ rpoint(X0)
| ~ rpoint(X0)
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ rline(X2)
| ~ rS(X0,X4,X2)
| rS(X4,X1,X2) )
| ~ spl57_168
| ~ spl57_225 ),
inference(resolution,[],[f4574,f2759]) ).
fof(f20102,plain,
( spl57_718
| ~ spl57_168
| ~ spl57_225 ),
inference(avatar_split_clause,[],[f4608,f4573,f2758,f20100]) ).
fof(f20100,plain,
( spl57_718
<=> ! [X4,X0,X3,X2,X1] :
( rS(X1,X3,X2)
| rS(X0,X3,X2)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rline(X2)
| ron(X0,X2)
| ron(X1,X2)
| ron(X3,X2)
| ~ rpoint(X0)
| ~ rpoint(X4)
| ~ rS(X0,X4,X2)
| rS(X4,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_718])]) ).
fof(f4608,plain,
( ! [X2,X3,X0,X1,X4] :
( rS(X1,X3,X2)
| rS(X0,X3,X2)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rline(X2)
| ron(X0,X2)
| ron(X1,X2)
| ron(X3,X2)
| ~ rpoint(X0)
| ~ rpoint(X4)
| ~ rS(X0,X4,X2)
| rS(X4,X1,X2) )
| ~ spl57_168
| ~ spl57_225 ),
inference(duplicate_literal_removal,[],[f4597]) ).
fof(f4597,plain,
( ! [X2,X3,X0,X1,X4] :
( rS(X1,X3,X2)
| rS(X0,X3,X2)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rline(X2)
| ron(X0,X2)
| ron(X1,X2)
| ron(X3,X2)
| ~ rpoint(X0)
| ~ rpoint(X0)
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ rline(X2)
| ~ rS(X0,X4,X2)
| rS(X4,X1,X2) )
| ~ spl57_168
| ~ spl57_225 ),
inference(resolution,[],[f4574,f2759]) ).
fof(f20098,plain,
( spl57_717
| ~ spl57_39
| ~ spl57_184 ),
inference(avatar_split_clause,[],[f3068,f3033,f1810,f20096]) ).
fof(f20096,plain,
( spl57_717
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(sK32(X1,X2),vskolem1052(X0,X0,sK32(X1,X2),sK32(X1,X2))) = vf(vskolem1052(X0,X0,sK32(X1,X2),sK32(X1,X2)),X0)
| sK32(X1,X2) = X0
| ~ sP1(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_717])]) ).
fof(f1810,plain,
( spl57_39
<=> ! [X0,X1] :
( rpoint(sK32(X0,X1))
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_39])]) ).
fof(f3068,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(sK32(X1,X2),vskolem1052(X0,X0,sK32(X1,X2),sK32(X1,X2))) = vf(vskolem1052(X0,X0,sK32(X1,X2),sK32(X1,X2)),X0)
| sK32(X1,X2) = X0
| ~ sP1(X1,X2) )
| ~ spl57_39
| ~ spl57_184 ),
inference(resolution,[],[f3034,f1811]) ).
fof(f1811,plain,
( ! [X0,X1] :
( rpoint(sK32(X0,X1))
| ~ sP1(X0,X1) )
| ~ spl57_39 ),
inference(avatar_component_clause,[],[f1810]) ).
fof(f20094,plain,
( spl57_716
| ~ spl57_40
| ~ spl57_184 ),
inference(avatar_split_clause,[],[f3067,f3033,f1814,f20092]) ).
fof(f20092,plain,
( spl57_716
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(sK31(X1,X2),vskolem1052(X0,X0,sK31(X1,X2),sK31(X1,X2))) = vf(vskolem1052(X0,X0,sK31(X1,X2),sK31(X1,X2)),X0)
| sK31(X1,X2) = X0
| ~ sP1(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_716])]) ).
fof(f1814,plain,
( spl57_40
<=> ! [X0,X1] :
( rpoint(sK31(X0,X1))
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_40])]) ).
fof(f3067,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(sK31(X1,X2),vskolem1052(X0,X0,sK31(X1,X2),sK31(X1,X2))) = vf(vskolem1052(X0,X0,sK31(X1,X2),sK31(X1,X2)),X0)
| sK31(X1,X2) = X0
| ~ sP1(X1,X2) )
| ~ spl57_40
| ~ spl57_184 ),
inference(resolution,[],[f3034,f1815]) ).
fof(f1815,plain,
( ! [X0,X1] :
( rpoint(sK31(X0,X1))
| ~ sP1(X0,X1) )
| ~ spl57_40 ),
inference(avatar_component_clause,[],[f1814]) ).
fof(f20090,plain,
( spl57_715
| ~ spl57_37
| ~ spl57_184 ),
inference(avatar_split_clause,[],[f3058,f3033,f1802,f20088]) ).
fof(f20088,plain,
( spl57_715
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(sK19(X1,X2),vskolem1052(X0,X0,sK19(X1,X2),sK19(X1,X2))) = vf(vskolem1052(X0,X0,sK19(X1,X2),sK19(X1,X2)),X0)
| sK19(X1,X2) = X0
| ~ sP0(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_715])]) ).
fof(f1802,plain,
( spl57_37
<=> ! [X0,X1] :
( rpoint(sK19(X0,X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_37])]) ).
fof(f3058,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(sK19(X1,X2),vskolem1052(X0,X0,sK19(X1,X2),sK19(X1,X2))) = vf(vskolem1052(X0,X0,sK19(X1,X2),sK19(X1,X2)),X0)
| sK19(X1,X2) = X0
| ~ sP0(X1,X2) )
| ~ spl57_37
| ~ spl57_184 ),
inference(resolution,[],[f3034,f1803]) ).
fof(f1803,plain,
( ! [X0,X1] :
( rpoint(sK19(X0,X1))
| ~ sP0(X0,X1) )
| ~ spl57_37 ),
inference(avatar_component_clause,[],[f1802]) ).
fof(f20086,plain,
( spl57_714
| ~ spl57_38
| ~ spl57_184 ),
inference(avatar_split_clause,[],[f3057,f3033,f1806,f20084]) ).
fof(f20084,plain,
( spl57_714
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(sK18(X1,X2),vskolem1052(X0,X0,sK18(X1,X2),sK18(X1,X2))) = vf(vskolem1052(X0,X0,sK18(X1,X2),sK18(X1,X2)),X0)
| sK18(X1,X2) = X0
| ~ sP0(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_714])]) ).
fof(f1806,plain,
( spl57_38
<=> ! [X0,X1] :
( rpoint(sK18(X0,X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_38])]) ).
fof(f3057,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(sK18(X1,X2),vskolem1052(X0,X0,sK18(X1,X2),sK18(X1,X2))) = vf(vskolem1052(X0,X0,sK18(X1,X2),sK18(X1,X2)),X0)
| sK18(X1,X2) = X0
| ~ sP0(X1,X2) )
| ~ spl57_38
| ~ spl57_184 ),
inference(resolution,[],[f3034,f1807]) ).
fof(f1807,plain,
( ! [X0,X1] :
( rpoint(sK18(X0,X1))
| ~ sP0(X0,X1) )
| ~ spl57_38 ),
inference(avatar_component_clause,[],[f1806]) ).
fof(f20035,plain,
( spl57_713
| ~ spl57_63
| ~ spl57_249 ),
inference(avatar_split_clause,[],[f4996,f4942,f1930,f20033]) ).
fof(f20033,plain,
( spl57_713
<=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] :
( vangle(X0,X1,X2) != vangle(sK6,vd1409,sK8)
| vf(X3,X4) != vf(X5,X6)
| ~ sP4(X4,X3,X6,X5,vd1409,sK8,sK6,X2,X1,X0,X7,X8,X9,X10,X11,X12,X13) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_713])]) ).
fof(f4942,plain,
( spl57_249
<=> ! [X16,X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
( vf(X1,X0) != vf(X3,X2)
| vangle(X9,X8,X7) != vangle(X6,X5,X4)
| ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_249])]) ).
fof(f4996,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] :
( vangle(X0,X1,X2) != vangle(sK6,vd1409,sK8)
| vf(X3,X4) != vf(X5,X6)
| ~ sP4(X4,X3,X6,X5,vd1409,sK8,sK6,X2,X1,X0,X7,X8,X9,X10,X11,X12,X13) )
| ~ spl57_63
| ~ spl57_249 ),
inference(superposition,[],[f4943,f1932]) ).
fof(f4943,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X15,X5,X12,X13] :
( vangle(X9,X8,X7) != vangle(X6,X5,X4)
| vf(X1,X0) != vf(X3,X2)
| ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16) )
| ~ spl57_249 ),
inference(avatar_component_clause,[],[f4942]) ).
fof(f20031,plain,
( spl57_712
| ~ spl57_63
| ~ spl57_249 ),
inference(avatar_split_clause,[],[f4995,f4942,f1930,f20029]) ).
fof(f20029,plain,
( spl57_712
<=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] :
( vangle(X0,X1,X2) != vangle(sK6,vd1409,sK8)
| vf(X3,X4) != vf(X5,X6)
| ~ sP4(X4,X3,X6,X5,X2,X1,X0,vd1409,sK8,sK6,X7,X8,X9,X10,X11,X12,X13) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_712])]) ).
fof(f4995,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] :
( vangle(X0,X1,X2) != vangle(sK6,vd1409,sK8)
| vf(X3,X4) != vf(X5,X6)
| ~ sP4(X4,X3,X6,X5,X2,X1,X0,vd1409,sK8,sK6,X7,X8,X9,X10,X11,X12,X13) )
| ~ spl57_63
| ~ spl57_249 ),
inference(superposition,[],[f4943,f1932]) ).
fof(f20027,plain,
( spl57_711
| ~ spl57_151
| ~ spl57_182 ),
inference(avatar_split_clause,[],[f3028,f2869,f2565,f20025]) ).
fof(f20025,plain,
( spl57_711
<=> ! [X4,X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK44(X1,X2,X3))
| ~ rline(X4)
| rS(X0,sK44(X1,X2,X3),X4)
| ~ rline(X1)
| ~ ron(X0,X1)
| rintersect(X4,X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ ron(X2,X1)
| ~ ron(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_711])]) ).
fof(f2565,plain,
( spl57_151
<=> ! [X5,X1,X3] :
( ron(sK44(X1,X3,X5),X1)
| ~ rline(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ ron(X3,X1)
| ~ ron(X5,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_151])]) ).
fof(f3028,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ rpoint(X0)
| ~ rpoint(sK44(X1,X2,X3))
| ~ rline(X4)
| rS(X0,sK44(X1,X2,X3),X4)
| ~ rline(X1)
| ~ ron(X0,X1)
| rintersect(X4,X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ ron(X2,X1)
| ~ ron(X3,X1) )
| ~ spl57_151
| ~ spl57_182 ),
inference(duplicate_literal_removal,[],[f3006]) ).
fof(f3006,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ rpoint(X0)
| ~ rpoint(sK44(X1,X2,X3))
| ~ rline(X4)
| rS(X0,sK44(X1,X2,X3),X4)
| ~ rline(X1)
| ~ ron(X0,X1)
| rintersect(X4,X1)
| ~ rline(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ ron(X2,X1)
| ~ ron(X3,X1) )
| ~ spl57_151
| ~ spl57_182 ),
inference(resolution,[],[f2870,f2566]) ).
fof(f2566,plain,
( ! [X3,X1,X5] :
( ron(sK44(X1,X3,X5),X1)
| ~ rline(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ ron(X3,X1)
| ~ ron(X5,X1) )
| ~ spl57_151 ),
inference(avatar_component_clause,[],[f2565]) ).
fof(f19895,plain,
( spl57_710
| ~ spl57_93
| ~ spl57_145 ),
inference(avatar_split_clause,[],[f2600,f2540,f2072,f19893]) ).
fof(f19893,plain,
( spl57_710
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK35(X1,X2)) = vf(sK35(X1,X2),vskolem1052(X0,X0,sK35(X1,X2),sK35(X1,X2)))
| sK35(X1,X2) = X0
| ~ rline(X1)
| ~ rpoint(X2)
| ~ ron(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_710])]) ).
fof(f2600,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK35(X1,X2)) = vf(sK35(X1,X2),vskolem1052(X0,X0,sK35(X1,X2),sK35(X1,X2)))
| sK35(X1,X2) = X0
| ~ rline(X1)
| ~ rpoint(X2)
| ~ ron(X2,X1) )
| ~ spl57_93
| ~ spl57_145 ),
inference(resolution,[],[f2541,f2073]) ).
fof(f19891,plain,
( spl57_709
| ~ spl57_91
| ~ spl57_145 ),
inference(avatar_split_clause,[],[f2598,f2540,f2064,f19889]) ).
fof(f19889,plain,
( spl57_709
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK33(X1,X2)) = vf(sK33(X1,X2),vskolem1052(X0,X0,sK33(X1,X2),sK33(X1,X2)))
| sK33(X1,X2) = X0
| ~ rline(X1)
| ~ rline(X2)
| ~ rintersect(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_709])]) ).
fof(f2598,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK33(X1,X2)) = vf(sK33(X1,X2),vskolem1052(X0,X0,sK33(X1,X2),sK33(X1,X2)))
| sK33(X1,X2) = X0
| ~ rline(X1)
| ~ rline(X2)
| ~ rintersect(X1,X2) )
| ~ spl57_91
| ~ spl57_145 ),
inference(resolution,[],[f2541,f2065]) ).
fof(f19887,plain,
( spl57_708
| ~ spl57_87
| ~ spl57_145 ),
inference(avatar_split_clause,[],[f2593,f2540,f2048,f19885]) ).
fof(f19885,plain,
( spl57_708
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK28(X1,X2)) = vf(sK28(X1,X2),vskolem1052(X0,X0,sK28(X1,X2),sK28(X1,X2)))
| sK28(X1,X2) = X0
| ~ rline(X1)
| ~ rpoint(X2)
| ron(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_708])]) ).
fof(f2593,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK28(X1,X2)) = vf(sK28(X1,X2),vskolem1052(X0,X0,sK28(X1,X2),sK28(X1,X2)))
| sK28(X1,X2) = X0
| ~ rline(X1)
| ~ rpoint(X2)
| ron(X2,X1) )
| ~ spl57_87
| ~ spl57_145 ),
inference(resolution,[],[f2541,f2049]) ).
fof(f19883,plain,
( spl57_707
| ~ spl57_86
| ~ spl57_145 ),
inference(avatar_split_clause,[],[f2592,f2540,f2044,f19881]) ).
fof(f19881,plain,
( spl57_707
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK27(X1,X2)) = vf(sK27(X1,X2),vskolem1052(X0,X0,sK27(X1,X2),sK27(X1,X2)))
| sK27(X1,X2) = X0
| ~ rline(X1)
| ~ rpoint(X2)
| ron(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_707])]) ).
fof(f2592,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK27(X1,X2)) = vf(sK27(X1,X2),vskolem1052(X0,X0,sK27(X1,X2),sK27(X1,X2)))
| sK27(X1,X2) = X0
| ~ rline(X1)
| ~ rpoint(X2)
| ron(X2,X1) )
| ~ spl57_86
| ~ spl57_145 ),
inference(resolution,[],[f2541,f2045]) ).
fof(f19672,plain,
( spl57_706
| ~ spl57_311
| ~ spl57_703 ),
inference(avatar_split_clause,[],[f19560,f19512,f7659,f19670]) ).
fof(f19670,plain,
( spl57_706
<=> ! [X0] :
( ~ rline(X0)
| rintersect(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_706])]) ).
fof(f7659,plain,
( spl57_311
<=> ! [X0] :
( ~ rline(X0)
| ~ ron(sK6,X0)
| rintersect(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_311])]) ).
fof(f19512,plain,
( spl57_703
<=> ! [X1] :
( ~ rline(X1)
| ron(sK6,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_703])]) ).
fof(f19560,plain,
( ! [X0] :
( ~ rline(X0)
| rintersect(X0,sK5) )
| ~ spl57_311
| ~ spl57_703 ),
inference(duplicate_literal_removal,[],[f19518]) ).
fof(f19518,plain,
( ! [X0] :
( ~ rline(X0)
| ~ rline(X0)
| rintersect(X0,sK5) )
| ~ spl57_311
| ~ spl57_703 ),
inference(resolution,[],[f19513,f7660]) ).
fof(f7660,plain,
( ! [X0] :
( ~ ron(sK6,X0)
| ~ rline(X0)
| rintersect(X0,sK5) )
| ~ spl57_311 ),
inference(avatar_component_clause,[],[f7659]) ).
fof(f19513,plain,
( ! [X1] :
( ron(sK6,X1)
| ~ rline(X1) )
| ~ spl57_703 ),
inference(avatar_component_clause,[],[f19512]) ).
fof(f19564,plain,
( spl57_688
| ~ spl57_7
| ~ spl57_9
| ~ spl57_11
| spl57_690
| spl57_705
| ~ spl57_63
| ~ spl57_242 ),
inference(avatar_split_clause,[],[f4830,f4814,f1930,f19562,f19036,f1687,f1677,f1667,f19030]) ).
fof(f19030,plain,
( spl57_688
<=> ! [X1] :
( ~ rline(X1)
| ron(vd1409,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_688])]) ).
fof(f19036,plain,
( spl57_690
<=> vperp = vangle(sK6,vd1409,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_690])]) ).
fof(f19562,plain,
( spl57_705
<=> ! [X0] :
( vangle(sK6,vd1409,sK8) != vangle(vd1409,sK8,X0)
| ~ rR(sK8,sK6,X0)
| ~ rpoint(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_705])]) ).
fof(f4814,plain,
( spl57_242
<=> ! [X5,X9,X7,X6,X8] :
( vperp = vangle(X6,X8,X9)
| vangle(X9,X8,X7) != vangle(X6,X8,X9)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rline(X5)
| ~ rR(X8,X6,X7)
| ron(X9,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_242])]) ).
fof(f4830,plain,
( ! [X0,X1] :
( vangle(sK6,vd1409,sK8) != vangle(vd1409,sK8,X0)
| vperp = vangle(sK6,vd1409,sK8)
| ~ rpoint(sK6)
| ~ rpoint(X0)
| ~ rpoint(sK8)
| ~ rpoint(vd1409)
| ~ rline(X1)
| ~ rR(sK8,sK6,X0)
| ron(vd1409,X1) )
| ~ spl57_63
| ~ spl57_242 ),
inference(superposition,[],[f4815,f1932]) ).
fof(f4815,plain,
( ! [X8,X6,X9,X7,X5] :
( vangle(X9,X8,X7) != vangle(X6,X8,X9)
| vperp = vangle(X6,X8,X9)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rline(X5)
| ~ rR(X8,X6,X7)
| ron(X9,X5) )
| ~ spl57_242 ),
inference(avatar_component_clause,[],[f4814]) ).
fof(f19517,plain,
( spl57_703
| ~ spl57_11
| ~ spl57_9
| ~ spl57_7
| spl57_704
| ~ spl57_63
| ~ spl57_242 ),
inference(avatar_split_clause,[],[f4829,f4814,f1930,f19515,f1667,f1677,f1687,f19512]) ).
fof(f19515,plain,
( spl57_704
<=> ! [X0] :
( vangle(sK6,vd1409,sK8) != vangle(X0,sK8,sK6)
| ~ rR(sK8,X0,vd1409)
| ~ rpoint(X0)
| vperp = vangle(X0,sK8,sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_704])]) ).
fof(f4829,plain,
( ! [X0,X1] :
( vangle(sK6,vd1409,sK8) != vangle(X0,sK8,sK6)
| vperp = vangle(X0,sK8,sK6)
| ~ rpoint(X0)
| ~ rpoint(vd1409)
| ~ rpoint(sK8)
| ~ rpoint(sK6)
| ~ rline(X1)
| ~ rR(sK8,X0,vd1409)
| ron(sK6,X1) )
| ~ spl57_63
| ~ spl57_242 ),
inference(superposition,[],[f4815,f1932]) ).
fof(f19510,plain,
( spl57_702
| ~ spl57_138
| ~ spl57_150 ),
inference(avatar_split_clause,[],[f2612,f2561,f2368,f19508]) ).
fof(f19508,plain,
( spl57_702
<=> ! [X4,X0,X3,X2,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| ~ rpoint(X2)
| ~ rS(X2,X1,X0)
| ~ rpoint(X3)
| ~ rpoint(X4)
| vg(X3,X4,sK42(X0,X1,X2)) = sK23(X3,X4,sK42(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_702])]) ).
fof(f2612,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| ~ rpoint(X2)
| ~ rS(X2,X1,X0)
| ~ rpoint(X3)
| ~ rpoint(X4)
| vg(X3,X4,sK42(X0,X1,X2)) = sK23(X3,X4,sK42(X0,X1,X2)) )
| ~ spl57_138
| ~ spl57_150 ),
inference(resolution,[],[f2562,f2369]) ).
fof(f19506,plain,
( spl57_701
| ~ spl57_137
| ~ spl57_150 ),
inference(avatar_split_clause,[],[f2611,f2561,f2364,f19504]) ).
fof(f19504,plain,
( spl57_701
<=> ! [X4,X0,X3,X2,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| ~ rpoint(X2)
| ~ rS(X2,X1,X0)
| ~ rpoint(X3)
| ~ rpoint(X4)
| vg(X3,X4,sK42(X0,X1,X2)) = vg(X3,sK42(X0,X1,X2),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_701])]) ).
fof(f2611,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| ~ rpoint(X2)
| ~ rS(X2,X1,X0)
| ~ rpoint(X3)
| ~ rpoint(X4)
| vg(X3,X4,sK42(X0,X1,X2)) = vg(X3,sK42(X0,X1,X2),X4) )
| ~ spl57_137
| ~ spl57_150 ),
inference(resolution,[],[f2562,f2365]) ).
fof(f19502,plain,
( spl57_700
| ~ spl57_135
| ~ spl57_150 ),
inference(avatar_split_clause,[],[f2610,f2561,f2356,f19500]) ).
fof(f19500,plain,
( spl57_700
<=> ! [X4,X0,X3,X2,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| ~ rpoint(X2)
| ~ rS(X2,X1,X0)
| ~ rpoint(X3)
| ~ rpoint(X4)
| vg(X3,X4,sK42(X0,X1,X2)) = vg(sK42(X0,X1,X2),X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_700])]) ).
fof(f2610,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| ~ rpoint(X2)
| ~ rS(X2,X1,X0)
| ~ rpoint(X3)
| ~ rpoint(X4)
| vg(X3,X4,sK42(X0,X1,X2)) = vg(sK42(X0,X1,X2),X3,X4) )
| ~ spl57_135
| ~ spl57_150 ),
inference(resolution,[],[f2562,f2357]) ).
fof(f19260,plain,
( spl57_699
| ~ spl57_127
| ~ spl57_225 ),
inference(avatar_split_clause,[],[f4617,f4573,f2300,f19258]) ).
fof(f19258,plain,
( spl57_699
<=> ! [X2,X0,X1] :
( rS(X2,X1,X0)
| rS(X2,sK28(X0,X1),X0)
| ~ rpoint(sK28(X0,X1))
| ~ rpoint(X1)
| ~ rline(X0)
| ron(X2,X0)
| ron(sK28(X0,X1),X0)
| ron(X1,X0)
| ~ rpoint(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_699])]) ).
fof(f4617,plain,
( ! [X2,X0,X1] :
( rS(X2,X1,X0)
| rS(X2,sK28(X0,X1),X0)
| ~ rpoint(sK28(X0,X1))
| ~ rpoint(X1)
| ~ rline(X0)
| ron(X2,X0)
| ron(sK28(X0,X1),X0)
| ron(X1,X0)
| ~ rpoint(X2) )
| ~ spl57_127
| ~ spl57_225 ),
inference(duplicate_literal_removal,[],[f4588]) ).
fof(f4588,plain,
( ! [X2,X0,X1] :
( rS(X2,X1,X0)
| rS(X2,sK28(X0,X1),X0)
| ~ rpoint(sK28(X0,X1))
| ~ rpoint(X1)
| ~ rline(X0)
| ron(X2,X0)
| ron(sK28(X0,X1),X0)
| ron(X1,X0)
| ~ rpoint(X2)
| ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0) )
| ~ spl57_127
| ~ spl57_225 ),
inference(resolution,[],[f4574,f2301]) ).
fof(f19256,plain,
( spl57_698
| ~ spl57_127
| ~ spl57_225 ),
inference(avatar_split_clause,[],[f4613,f4573,f2300,f19254]) ).
fof(f19254,plain,
( spl57_698
<=> ! [X2,X0,X1] :
( rS(X2,X1,X0)
| rS(sK28(X0,X1),X2,X0)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rline(X0)
| ron(sK28(X0,X1),X0)
| ron(X2,X0)
| ron(X1,X0)
| ~ rpoint(sK28(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_698])]) ).
fof(f4613,plain,
( ! [X2,X0,X1] :
( rS(X2,X1,X0)
| rS(sK28(X0,X1),X2,X0)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rline(X0)
| ron(sK28(X0,X1),X0)
| ron(X2,X0)
| ron(X1,X0)
| ~ rpoint(sK28(X0,X1)) )
| ~ spl57_127
| ~ spl57_225 ),
inference(duplicate_literal_removal,[],[f4592]) ).
fof(f4592,plain,
( ! [X2,X0,X1] :
( rS(X2,X1,X0)
| rS(sK28(X0,X1),X2,X0)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rline(X0)
| ron(sK28(X0,X1),X0)
| ron(X2,X0)
| ron(X1,X0)
| ~ rpoint(sK28(X0,X1))
| ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0) )
| ~ spl57_127
| ~ spl57_225 ),
inference(resolution,[],[f4574,f2301]) ).
fof(f19252,plain,
( spl57_697
| ~ spl57_127
| ~ spl57_225 ),
inference(avatar_split_clause,[],[f4609,f4573,f2300,f19250]) ).
fof(f19250,plain,
( spl57_697
<=> ! [X2,X0,X1] :
( rS(X1,X2,X0)
| rS(sK28(X0,X1),X2,X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rline(X0)
| ron(sK28(X0,X1),X0)
| ron(X1,X0)
| ron(X2,X0)
| ~ rpoint(sK28(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_697])]) ).
fof(f4609,plain,
( ! [X2,X0,X1] :
( rS(X1,X2,X0)
| rS(sK28(X0,X1),X2,X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rline(X0)
| ron(sK28(X0,X1),X0)
| ron(X1,X0)
| ron(X2,X0)
| ~ rpoint(sK28(X0,X1)) )
| ~ spl57_127
| ~ spl57_225 ),
inference(duplicate_literal_removal,[],[f4596]) ).
fof(f4596,plain,
( ! [X2,X0,X1] :
( rS(X1,X2,X0)
| rS(sK28(X0,X1),X2,X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rline(X0)
| ron(sK28(X0,X1),X0)
| ron(X1,X0)
| ron(X2,X0)
| ~ rpoint(sK28(X0,X1))
| ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0) )
| ~ spl57_127
| ~ spl57_225 ),
inference(resolution,[],[f4574,f2301]) ).
fof(f19248,plain,
( spl57_696
| ~ spl57_168
| ~ spl57_169 ),
inference(avatar_split_clause,[],[f2805,f2762,f2758,f19246]) ).
fof(f19246,plain,
( spl57_696
<=> ! [X0,X3,X2,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| ~ rpoint(X2)
| ~ rS(X2,X1,X0)
| ~ rpoint(sK42(X0,X1,X2))
| ~ rpoint(X3)
| ~ rS(sK42(X0,X1,X2),X3,X0)
| rS(X3,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_696])]) ).
fof(f2805,plain,
( ! [X2,X3,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| ~ rpoint(X2)
| ~ rS(X2,X1,X0)
| ~ rpoint(sK42(X0,X1,X2))
| ~ rpoint(X3)
| ~ rS(sK42(X0,X1,X2),X3,X0)
| rS(X3,X1,X0) )
| ~ spl57_168
| ~ spl57_169 ),
inference(duplicate_literal_removal,[],[f2800]) ).
fof(f2800,plain,
( ! [X2,X3,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| ~ rpoint(X2)
| ~ rS(X2,X1,X0)
| ~ rpoint(sK42(X0,X1,X2))
| ~ rpoint(X3)
| ~ rpoint(X1)
| ~ rline(X0)
| ~ rS(sK42(X0,X1,X2),X3,X0)
| rS(X3,X1,X0) )
| ~ spl57_168
| ~ spl57_169 ),
inference(resolution,[],[f2763,f2759]) ).
fof(f19244,plain,
( spl57_695
| ~ spl57_138
| ~ spl57_144 ),
inference(avatar_split_clause,[],[f2538,f2520,f2368,f19242]) ).
fof(f19242,plain,
( spl57_695
<=> ! [X4,X0,X3,X2,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ~ rpoint(X3)
| ~ rpoint(X4)
| vg(X3,X4,sK44(X0,X1,X2)) = sK23(X3,X4,sK44(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_695])]) ).
fof(f2538,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ~ rpoint(X3)
| ~ rpoint(X4)
| vg(X3,X4,sK44(X0,X1,X2)) = sK23(X3,X4,sK44(X0,X1,X2)) )
| ~ spl57_138
| ~ spl57_144 ),
inference(resolution,[],[f2521,f2369]) ).
fof(f19240,plain,
( spl57_694
| ~ spl57_137
| ~ spl57_144 ),
inference(avatar_split_clause,[],[f2537,f2520,f2364,f19238]) ).
fof(f19238,plain,
( spl57_694
<=> ! [X4,X0,X3,X2,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ~ rpoint(X3)
| ~ rpoint(X4)
| vg(X3,X4,sK44(X0,X1,X2)) = vg(X3,sK44(X0,X1,X2),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_694])]) ).
fof(f2537,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ~ rpoint(X3)
| ~ rpoint(X4)
| vg(X3,X4,sK44(X0,X1,X2)) = vg(X3,sK44(X0,X1,X2),X4) )
| ~ spl57_137
| ~ spl57_144 ),
inference(resolution,[],[f2521,f2365]) ).
fof(f19236,plain,
( spl57_693
| ~ spl57_135
| ~ spl57_144 ),
inference(avatar_split_clause,[],[f2536,f2520,f2356,f19234]) ).
fof(f19234,plain,
( spl57_693
<=> ! [X4,X0,X3,X2,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ~ rpoint(X3)
| ~ rpoint(X4)
| vg(X3,X4,sK44(X0,X1,X2)) = vg(sK44(X0,X1,X2),X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_693])]) ).
fof(f2536,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ~ rpoint(X3)
| ~ rpoint(X4)
| vg(X3,X4,sK44(X0,X1,X2)) = vg(sK44(X0,X1,X2),X3,X4) )
| ~ spl57_135
| ~ spl57_144 ),
inference(resolution,[],[f2521,f2357]) ).
fof(f19232,plain,
( spl57_692
| ~ spl57_128
| ~ spl57_141 ),
inference(avatar_split_clause,[],[f2503,f2467,f2304,f19230]) ).
fof(f19230,plain,
( spl57_692
<=> ! [X2,X0,X1] :
( ~ rreal(X0)
| ~ rreal(X1)
| ~ rreal(X2)
| ~ rless(X0,X1)
| vplus(X0,X2) = vplus(X1,X2)
| ~ rreal(vplus(X1,X2))
| ~ rreal(vplus(X0,X2))
| ~ rless(vplus(X1,X2),vplus(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_692])]) ).
fof(f2304,plain,
( spl57_128
<=> ! [X1,X3] :
( X1 = X3
| ~ rless(X3,X1)
| ~ rreal(X1)
| ~ rreal(X3)
| ~ rless(X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_128])]) ).
fof(f2467,plain,
( spl57_141
<=> ! [X5,X1,X3] :
( rless(vplus(X1,X5),vplus(X3,X5))
| ~ rreal(X1)
| ~ rreal(X3)
| ~ rreal(X5)
| ~ rless(X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_141])]) ).
fof(f2503,plain,
( ! [X2,X0,X1] :
( ~ rreal(X0)
| ~ rreal(X1)
| ~ rreal(X2)
| ~ rless(X0,X1)
| vplus(X0,X2) = vplus(X1,X2)
| ~ rreal(vplus(X1,X2))
| ~ rreal(vplus(X0,X2))
| ~ rless(vplus(X1,X2),vplus(X0,X2)) )
| ~ spl57_128
| ~ spl57_141 ),
inference(resolution,[],[f2468,f2305]) ).
fof(f2305,plain,
( ! [X3,X1] :
( ~ rless(X3,X1)
| X1 = X3
| ~ rreal(X1)
| ~ rreal(X3)
| ~ rless(X1,X3) )
| ~ spl57_128 ),
inference(avatar_component_clause,[],[f2304]) ).
fof(f2468,plain,
( ! [X3,X1,X5] :
( rless(vplus(X1,X5),vplus(X3,X5))
| ~ rreal(X1)
| ~ rreal(X3)
| ~ rreal(X5)
| ~ rless(X1,X3) )
| ~ spl57_141 ),
inference(avatar_component_clause,[],[f2467]) ).
fof(f19187,plain,
( spl57_691
| ~ spl57_56
| ~ spl57_145 ),
inference(avatar_split_clause,[],[f2590,f2540,f1897,f19185]) ).
fof(f19185,plain,
( spl57_691
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK20(X1,X2)) = vf(sK20(X1,X2),vskolem1052(X0,X0,sK20(X1,X2),sK20(X1,X2)))
| sK20(X1,X2) = X0
| ~ rpoint(X1)
| ~ rpoint(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_691])]) ).
fof(f2590,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK20(X1,X2)) = vf(sK20(X1,X2),vskolem1052(X0,X0,sK20(X1,X2),sK20(X1,X2)))
| sK20(X1,X2) = X0
| ~ rpoint(X1)
| ~ rpoint(X2) )
| ~ spl57_56
| ~ spl57_145 ),
inference(resolution,[],[f2541,f1898]) ).
fof(f19039,plain,
( spl57_688
| ~ spl57_7
| ~ spl57_9
| ~ spl57_11
| spl57_689
| ~ spl57_690
| ~ spl57_63
| ~ spl57_228 ),
inference(avatar_split_clause,[],[f4655,f4585,f1930,f19036,f19033,f1687,f1677,f1667,f19030]) ).
fof(f19033,plain,
( spl57_689
<=> ! [X0] :
( vperp = vangle(vd1409,sK8,X0)
| ~ rR(sK8,sK6,X0)
| ~ rpoint(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_689])]) ).
fof(f4585,plain,
( spl57_228
<=> ! [X5,X9,X7,X6,X8] :
( vperp = vangle(X9,X8,X7)
| vperp != vangle(X6,X8,X9)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rline(X5)
| ~ rR(X8,X6,X7)
| ron(X9,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_228])]) ).
fof(f4655,plain,
( ! [X0,X1] :
( vperp != vangle(sK6,vd1409,sK8)
| vperp = vangle(vd1409,sK8,X0)
| ~ rpoint(sK6)
| ~ rpoint(X0)
| ~ rpoint(sK8)
| ~ rpoint(vd1409)
| ~ rline(X1)
| ~ rR(sK8,sK6,X0)
| ron(vd1409,X1) )
| ~ spl57_63
| ~ spl57_228 ),
inference(superposition,[],[f4586,f1932]) ).
fof(f4586,plain,
( ! [X8,X6,X9,X7,X5] :
( vperp != vangle(X6,X8,X9)
| vperp = vangle(X9,X8,X7)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rline(X5)
| ~ rR(X8,X6,X7)
| ron(X9,X5) )
| ~ spl57_228 ),
inference(avatar_component_clause,[],[f4585]) ).
fof(f19028,plain,
( spl57_687
| ~ spl57_134
| ~ spl57_225 ),
inference(avatar_split_clause,[],[f4611,f4573,f2346,f19026]) ).
fof(f19026,plain,
( spl57_687
<=> ! [X0,X3,X2,X1] :
( rS(X3,X1,X2)
| rS(X0,X3,X2)
| ~ rpoint(X3)
| ~ rpoint(X1)
| ~ rline(X2)
| ron(X0,X2)
| ron(X3,X2)
| ron(X1,X2)
| ~ rpoint(X0)
| rS(X1,X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_687])]) ).
fof(f4611,plain,
( ! [X2,X3,X0,X1] :
( rS(X3,X1,X2)
| rS(X0,X3,X2)
| ~ rpoint(X3)
| ~ rpoint(X1)
| ~ rline(X2)
| ron(X0,X2)
| ron(X3,X2)
| ron(X1,X2)
| ~ rpoint(X0)
| rS(X1,X0,X2) )
| ~ spl57_134
| ~ spl57_225 ),
inference(duplicate_literal_removal,[],[f4594]) ).
fof(f4594,plain,
( ! [X2,X3,X0,X1] :
( rS(X3,X1,X2)
| rS(X0,X3,X2)
| ~ rpoint(X3)
| ~ rpoint(X1)
| ~ rline(X2)
| ron(X0,X2)
| ron(X3,X2)
| ron(X1,X2)
| ~ rpoint(X0)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rline(X2)
| rS(X1,X0,X2) )
| ~ spl57_134
| ~ spl57_225 ),
inference(resolution,[],[f4574,f2347]) ).
fof(f19024,plain,
( spl57_686
| ~ spl57_122
| ~ spl57_168 ),
inference(avatar_split_clause,[],[f2797,f2758,f2280,f19022]) ).
fof(f19022,plain,
( spl57_686
<=> ! [X4,X0,X3,X2,X1] :
( ~ rpoint(sK52(X0,X1,X2,X3))
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ rline(X0)
| ~ rS(sK52(X0,X1,X2,X3),X4,X0)
| rS(X4,X1,X0)
| ~ sP3(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_686])]) ).
fof(f2797,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ rpoint(sK52(X0,X1,X2,X3))
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ rline(X0)
| ~ rS(sK52(X0,X1,X2,X3),X4,X0)
| rS(X4,X1,X0)
| ~ sP3(X0,X1,X2,X3) )
| ~ spl57_122
| ~ spl57_168 ),
inference(resolution,[],[f2759,f2281]) ).
fof(f19020,plain,
( spl57_685
| ~ spl57_39
| ~ spl57_145 ),
inference(avatar_split_clause,[],[f2597,f2540,f1810,f19018]) ).
fof(f19018,plain,
( spl57_685
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK32(X1,X2)) = vf(sK32(X1,X2),vskolem1052(X0,X0,sK32(X1,X2),sK32(X1,X2)))
| sK32(X1,X2) = X0
| ~ sP1(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_685])]) ).
fof(f2597,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK32(X1,X2)) = vf(sK32(X1,X2),vskolem1052(X0,X0,sK32(X1,X2),sK32(X1,X2)))
| sK32(X1,X2) = X0
| ~ sP1(X1,X2) )
| ~ spl57_39
| ~ spl57_145 ),
inference(resolution,[],[f2541,f1811]) ).
fof(f19016,plain,
( spl57_684
| ~ spl57_40
| ~ spl57_145 ),
inference(avatar_split_clause,[],[f2596,f2540,f1814,f19014]) ).
fof(f19014,plain,
( spl57_684
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK31(X1,X2)) = vf(sK31(X1,X2),vskolem1052(X0,X0,sK31(X1,X2),sK31(X1,X2)))
| sK31(X1,X2) = X0
| ~ sP1(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_684])]) ).
fof(f2596,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK31(X1,X2)) = vf(sK31(X1,X2),vskolem1052(X0,X0,sK31(X1,X2),sK31(X1,X2)))
| sK31(X1,X2) = X0
| ~ sP1(X1,X2) )
| ~ spl57_40
| ~ spl57_145 ),
inference(resolution,[],[f2541,f1815]) ).
fof(f19012,plain,
( spl57_683
| ~ spl57_37
| ~ spl57_145 ),
inference(avatar_split_clause,[],[f2589,f2540,f1802,f19010]) ).
fof(f19010,plain,
( spl57_683
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK19(X1,X2)) = vf(sK19(X1,X2),vskolem1052(X0,X0,sK19(X1,X2),sK19(X1,X2)))
| sK19(X1,X2) = X0
| ~ sP0(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_683])]) ).
fof(f2589,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK19(X1,X2)) = vf(sK19(X1,X2),vskolem1052(X0,X0,sK19(X1,X2),sK19(X1,X2)))
| sK19(X1,X2) = X0
| ~ sP0(X1,X2) )
| ~ spl57_37
| ~ spl57_145 ),
inference(resolution,[],[f2541,f1803]) ).
fof(f19008,plain,
( spl57_682
| ~ spl57_38
| ~ spl57_145 ),
inference(avatar_split_clause,[],[f2588,f2540,f1806,f19006]) ).
fof(f19006,plain,
( spl57_682
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK18(X1,X2)) = vf(sK18(X1,X2),vskolem1052(X0,X0,sK18(X1,X2),sK18(X1,X2)))
| sK18(X1,X2) = X0
| ~ sP0(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_682])]) ).
fof(f2588,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK18(X1,X2)) = vf(sK18(X1,X2),vskolem1052(X0,X0,sK18(X1,X2),sK18(X1,X2)))
| sK18(X1,X2) = X0
| ~ sP0(X1,X2) )
| ~ spl57_38
| ~ spl57_145 ),
inference(resolution,[],[f2541,f1807]) ).
fof(f19004,plain,
( spl57_681
| ~ spl57_139
| ~ spl57_141 ),
inference(avatar_split_clause,[],[f2502,f2467,f2372,f19002]) ).
fof(f19002,plain,
( spl57_681
<=> ! [X0,X3,X2,X1] :
( ~ rreal(X0)
| ~ rreal(X1)
| ~ rreal(X2)
| ~ rless(X0,X1)
| ~ rreal(X3)
| ~ rreal(vplus(X0,X2))
| ~ rreal(vplus(X1,X2))
| ~ rless(X3,vplus(X0,X2))
| rless(X3,vplus(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_681])]) ).
fof(f2372,plain,
( spl57_139
<=> ! [X5,X1,X3] :
( rless(X1,X5)
| ~ rreal(X1)
| ~ rreal(X3)
| ~ rreal(X5)
| ~ rless(X1,X3)
| ~ rless(X3,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_139])]) ).
fof(f2502,plain,
( ! [X2,X3,X0,X1] :
( ~ rreal(X0)
| ~ rreal(X1)
| ~ rreal(X2)
| ~ rless(X0,X1)
| ~ rreal(X3)
| ~ rreal(vplus(X0,X2))
| ~ rreal(vplus(X1,X2))
| ~ rless(X3,vplus(X0,X2))
| rless(X3,vplus(X1,X2)) )
| ~ spl57_139
| ~ spl57_141 ),
inference(resolution,[],[f2468,f2373]) ).
fof(f2373,plain,
( ! [X3,X1,X5] :
( ~ rless(X3,X5)
| ~ rreal(X1)
| ~ rreal(X3)
| ~ rreal(X5)
| ~ rless(X1,X3)
| rless(X1,X5) )
| ~ spl57_139 ),
inference(avatar_component_clause,[],[f2372]) ).
fof(f18802,plain,
( spl57_680
| ~ spl57_27
| ~ spl57_184 ),
inference(avatar_split_clause,[],[f3056,f3033,f1762,f18800]) ).
fof(f18800,plain,
( spl57_680
<=> ! [X0,X1] :
( ~ rpoint(X0)
| vf(sK17(X1),vskolem1052(X0,X0,sK17(X1),sK17(X1))) = vf(vskolem1052(X0,X0,sK17(X1),sK17(X1)),X0)
| sK17(X1) = X0
| ~ rpoint(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_680])]) ).
fof(f1762,plain,
( spl57_27
<=> ! [X1] :
( rpoint(sK17(X1))
| ~ rpoint(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_27])]) ).
fof(f3056,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| vf(sK17(X1),vskolem1052(X0,X0,sK17(X1),sK17(X1))) = vf(vskolem1052(X0,X0,sK17(X1),sK17(X1)),X0)
| sK17(X1) = X0
| ~ rpoint(X1) )
| ~ spl57_27
| ~ spl57_184 ),
inference(resolution,[],[f3034,f1763]) ).
fof(f1763,plain,
( ! [X1] :
( rpoint(sK17(X1))
| ~ rpoint(X1) )
| ~ spl57_27 ),
inference(avatar_component_clause,[],[f1762]) ).
fof(f18798,plain,
( spl57_679
| ~ spl57_26
| ~ spl57_184 ),
inference(avatar_split_clause,[],[f3055,f3033,f1758,f18796]) ).
fof(f18796,plain,
( spl57_679
<=> ! [X0,X1] :
( ~ rpoint(X0)
| vf(sK16(X1),vskolem1052(X0,X0,sK16(X1),sK16(X1))) = vf(vskolem1052(X0,X0,sK16(X1),sK16(X1)),X0)
| sK16(X1) = X0
| ~ rline(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_679])]) ).
fof(f1758,plain,
( spl57_26
<=> ! [X1] :
( rpoint(sK16(X1))
| ~ rline(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_26])]) ).
fof(f3055,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| vf(sK16(X1),vskolem1052(X0,X0,sK16(X1),sK16(X1))) = vf(vskolem1052(X0,X0,sK16(X1),sK16(X1)),X0)
| sK16(X1) = X0
| ~ rline(X1) )
| ~ spl57_26
| ~ spl57_184 ),
inference(resolution,[],[f3034,f1759]) ).
fof(f1759,plain,
( ! [X1] :
( rpoint(sK16(X1))
| ~ rline(X1) )
| ~ spl57_26 ),
inference(avatar_component_clause,[],[f1758]) ).
fof(f18794,plain,
( spl57_678
| ~ spl57_80
| ~ spl57_150 ),
inference(avatar_split_clause,[],[f2608,f2561,f2020,f18792]) ).
fof(f18792,plain,
( spl57_678
<=> ! [X0,X3,X2,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| ~ rpoint(X2)
| ~ rS(X2,X1,X0)
| ~ rpoint(X3)
| vf(X3,sK42(X0,X1,X2)) = sK21(X3,sK42(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_678])]) ).
fof(f2608,plain,
( ! [X2,X3,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| ~ rpoint(X2)
| ~ rS(X2,X1,X0)
| ~ rpoint(X3)
| vf(X3,sK42(X0,X1,X2)) = sK21(X3,sK42(X0,X1,X2)) )
| ~ spl57_80
| ~ spl57_150 ),
inference(resolution,[],[f2562,f2021]) ).
fof(f18790,plain,
( spl57_677
| ~ spl57_79
| ~ spl57_150 ),
inference(avatar_split_clause,[],[f2607,f2561,f2016,f18788]) ).
fof(f18788,plain,
( spl57_677
<=> ! [X0,X3,X2,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| ~ rpoint(X2)
| ~ rS(X2,X1,X0)
| ~ rpoint(X3)
| vf(sK42(X0,X1,X2),X3) = vf(X3,sK42(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_677])]) ).
fof(f2607,plain,
( ! [X2,X3,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| ~ rpoint(X2)
| ~ rS(X2,X1,X0)
| ~ rpoint(X3)
| vf(sK42(X0,X1,X2),X3) = vf(X3,sK42(X0,X1,X2)) )
| ~ spl57_79
| ~ spl57_150 ),
inference(resolution,[],[f2562,f2017]) ).
fof(f18786,plain,
( spl57_676
| ~ spl57_9
| ~ spl57_643 ),
inference(avatar_split_clause,[],[f18149,f18102,f1677,f18783]) ).
fof(f18783,plain,
( spl57_676
<=> vd684 = vg(sK8,sK8,sK17(sK16(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_676])]) ).
fof(f18149,plain,
( vd684 = vg(sK8,sK8,sK17(sK16(sK5)))
| ~ spl57_9
| ~ spl57_643 ),
inference(resolution,[],[f18103,f1679]) ).
fof(f18649,plain,
( spl57_675
| ~ spl57_114
| ~ spl57_187 ),
inference(avatar_split_clause,[],[f3680,f3127,f2237,f18647]) ).
fof(f18647,plain,
( spl57_675
<=> ! [X0,X3,X2,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK33(X0,X3))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ron(sK40(X0,X1,X2),X0)
| ~ rline(X3)
| ~ rintersect(X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_675])]) ).
fof(f2237,plain,
( spl57_114
<=> ! [X1,X3] :
( ron(sK33(X1,X3),X1)
| ~ rline(X1)
| ~ rline(X3)
| ~ rintersect(X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_114])]) ).
fof(f3680,plain,
( ! [X2,X3,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK33(X0,X3))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ron(sK40(X0,X1,X2),X0)
| ~ rline(X3)
| ~ rintersect(X0,X3) )
| ~ spl57_114
| ~ spl57_187 ),
inference(duplicate_literal_removal,[],[f3652]) ).
fof(f3652,plain,
( ! [X2,X3,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK33(X0,X3))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ron(sK40(X0,X1,X2),X0)
| ~ rline(X0)
| ~ rline(X3)
| ~ rintersect(X0,X3) )
| ~ spl57_114
| ~ spl57_187 ),
inference(resolution,[],[f3128,f2238]) ).
fof(f2238,plain,
( ! [X3,X1] :
( ron(sK33(X1,X3),X1)
| ~ rline(X1)
| ~ rline(X3)
| ~ rintersect(X1,X3) )
| ~ spl57_114 ),
inference(avatar_component_clause,[],[f2237]) ).
fof(f18645,plain,
( spl57_674
| ~ spl57_115
| ~ spl57_187 ),
inference(avatar_split_clause,[],[f3676,f3127,f2241,f18643]) ).
fof(f18643,plain,
( spl57_674
<=> ! [X0,X3,X2,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK33(X3,X0))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ron(sK40(X0,X1,X2),X0)
| ~ rline(X3)
| ~ rintersect(X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_674])]) ).
fof(f2241,plain,
( spl57_115
<=> ! [X1,X3] :
( ron(sK33(X1,X3),X3)
| ~ rline(X1)
| ~ rline(X3)
| ~ rintersect(X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_115])]) ).
fof(f3676,plain,
( ! [X2,X3,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK33(X3,X0))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ron(sK40(X0,X1,X2),X0)
| ~ rline(X3)
| ~ rintersect(X3,X0) )
| ~ spl57_115
| ~ spl57_187 ),
inference(duplicate_literal_removal,[],[f3663]) ).
fof(f3663,plain,
( ! [X2,X3,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK33(X3,X0))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ron(sK40(X0,X1,X2),X0)
| ~ rline(X3)
| ~ rline(X0)
| ~ rintersect(X3,X0) )
| ~ spl57_115
| ~ spl57_187 ),
inference(resolution,[],[f3128,f2242]) ).
fof(f2242,plain,
( ! [X3,X1] :
( ron(sK33(X1,X3),X3)
| ~ rline(X1)
| ~ rline(X3)
| ~ rintersect(X1,X3) )
| ~ spl57_115 ),
inference(avatar_component_clause,[],[f2241]) ).
fof(f18641,plain,
( spl57_673
| ~ spl57_114
| ~ spl57_182 ),
inference(avatar_split_clause,[],[f3030,f2869,f2237,f18639]) ).
fof(f18639,plain,
( spl57_673
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK33(X1,X2))
| ~ rline(X3)
| rS(X0,sK33(X1,X2),X3)
| ~ rline(X1)
| ~ ron(X0,X1)
| rintersect(X3,X1)
| ~ rline(X2)
| ~ rintersect(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_673])]) ).
fof(f3030,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK33(X1,X2))
| ~ rline(X3)
| rS(X0,sK33(X1,X2),X3)
| ~ rline(X1)
| ~ ron(X0,X1)
| rintersect(X3,X1)
| ~ rline(X2)
| ~ rintersect(X1,X2) )
| ~ spl57_114
| ~ spl57_182 ),
inference(duplicate_literal_removal,[],[f3002]) ).
fof(f3002,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK33(X1,X2))
| ~ rline(X3)
| rS(X0,sK33(X1,X2),X3)
| ~ rline(X1)
| ~ ron(X0,X1)
| rintersect(X3,X1)
| ~ rline(X1)
| ~ rline(X2)
| ~ rintersect(X1,X2) )
| ~ spl57_114
| ~ spl57_182 ),
inference(resolution,[],[f2870,f2238]) ).
fof(f18637,plain,
( spl57_672
| ~ spl57_10
| ~ spl57_643 ),
inference(avatar_split_clause,[],[f18148,f18102,f1682,f18634]) ).
fof(f18634,plain,
( spl57_672
<=> vd684 = vg(sK7,sK7,sK17(sK16(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_672])]) ).
fof(f18148,plain,
( vd684 = vg(sK7,sK7,sK17(sK16(sK5)))
| ~ spl57_10
| ~ spl57_643 ),
inference(resolution,[],[f18103,f1684]) ).
fof(f18632,plain,
( spl57_671
| ~ spl57_118
| ~ spl57_182 ),
inference(avatar_split_clause,[],[f3029,f2869,f2253,f18630]) ).
fof(f18630,plain,
( spl57_671
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK35(X1,X2))
| ~ rline(X3)
| rS(X0,sK35(X1,X2),X3)
| ~ rline(X1)
| ~ ron(X0,X1)
| rintersect(X3,X1)
| ~ rpoint(X2)
| ~ ron(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_671])]) ).
fof(f2253,plain,
( spl57_118
<=> ! [X1,X3] :
( ron(sK35(X1,X3),X1)
| ~ rline(X1)
| ~ rpoint(X3)
| ~ ron(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_118])]) ).
fof(f3029,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK35(X1,X2))
| ~ rline(X3)
| rS(X0,sK35(X1,X2),X3)
| ~ rline(X1)
| ~ ron(X0,X1)
| rintersect(X3,X1)
| ~ rpoint(X2)
| ~ ron(X2,X1) )
| ~ spl57_118
| ~ spl57_182 ),
inference(duplicate_literal_removal,[],[f3004]) ).
fof(f3004,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK35(X1,X2))
| ~ rline(X3)
| rS(X0,sK35(X1,X2),X3)
| ~ rline(X1)
| ~ ron(X0,X1)
| rintersect(X3,X1)
| ~ rline(X1)
| ~ rpoint(X2)
| ~ ron(X2,X1) )
| ~ spl57_118
| ~ spl57_182 ),
inference(resolution,[],[f2870,f2254]) ).
fof(f2254,plain,
( ! [X3,X1] :
( ron(sK35(X1,X3),X1)
| ~ rline(X1)
| ~ rpoint(X3)
| ~ ron(X3,X1) )
| ~ spl57_118 ),
inference(avatar_component_clause,[],[f2253]) ).
fof(f18628,plain,
( spl57_670
| ~ spl57_115
| ~ spl57_182 ),
inference(avatar_split_clause,[],[f3026,f2869,f2241,f18626]) ).
fof(f18626,plain,
( spl57_670
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK33(X1,X2))
| ~ rline(X3)
| rS(X0,sK33(X1,X2),X3)
| ~ rline(X2)
| ~ ron(X0,X2)
| rintersect(X3,X2)
| ~ rline(X1)
| ~ rintersect(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_670])]) ).
fof(f3026,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK33(X1,X2))
| ~ rline(X3)
| rS(X0,sK33(X1,X2),X3)
| ~ rline(X2)
| ~ ron(X0,X2)
| rintersect(X3,X2)
| ~ rline(X1)
| ~ rintersect(X1,X2) )
| ~ spl57_115
| ~ spl57_182 ),
inference(duplicate_literal_removal,[],[f3013]) ).
fof(f3013,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK33(X1,X2))
| ~ rline(X3)
| rS(X0,sK33(X1,X2),X3)
| ~ rline(X2)
| ~ ron(X0,X2)
| rintersect(X3,X2)
| ~ rline(X1)
| ~ rline(X2)
| ~ rintersect(X1,X2) )
| ~ spl57_115
| ~ spl57_182 ),
inference(resolution,[],[f2870,f2242]) ).
fof(f18624,plain,
( spl57_669
| ~ spl57_80
| ~ spl57_144 ),
inference(avatar_split_clause,[],[f2534,f2520,f2020,f18622]) ).
fof(f18622,plain,
( spl57_669
<=> ! [X0,X3,X2,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ~ rpoint(X3)
| vf(X3,sK44(X0,X1,X2)) = sK21(X3,sK44(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_669])]) ).
fof(f2534,plain,
( ! [X2,X3,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ~ rpoint(X3)
| vf(X3,sK44(X0,X1,X2)) = sK21(X3,sK44(X0,X1,X2)) )
| ~ spl57_80
| ~ spl57_144 ),
inference(resolution,[],[f2521,f2021]) ).
fof(f18620,plain,
( spl57_668
| ~ spl57_79
| ~ spl57_144 ),
inference(avatar_split_clause,[],[f2533,f2520,f2016,f18618]) ).
fof(f18618,plain,
( spl57_668
<=> ! [X0,X3,X2,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ~ rpoint(X3)
| vf(sK44(X0,X1,X2),X3) = vf(X3,sK44(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_668])]) ).
fof(f2533,plain,
( ! [X2,X3,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ~ rpoint(X3)
| vf(sK44(X0,X1,X2),X3) = vf(X3,sK44(X0,X1,X2)) )
| ~ spl57_79
| ~ spl57_144 ),
inference(resolution,[],[f2521,f2017]) ).
fof(f18608,plain,
( spl57_667
| ~ spl57_11
| ~ spl57_643 ),
inference(avatar_split_clause,[],[f18147,f18102,f1687,f18605]) ).
fof(f18605,plain,
( spl57_667
<=> vd684 = vg(sK6,sK6,sK17(sK16(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_667])]) ).
fof(f18147,plain,
( vd684 = vg(sK6,sK6,sK17(sK16(sK5)))
| ~ spl57_11
| ~ spl57_643 ),
inference(resolution,[],[f18103,f1689]) ).
fof(f18601,plain,
( spl57_666
| ~ spl57_114
| ~ spl57_186 ),
inference(avatar_split_clause,[],[f3124,f3041,f2237,f18599]) ).
fof(f18599,plain,
( spl57_666
<=> ! [X0,X3,X2,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK33(X0,X3))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| rpoint(sK40(X0,X1,X2))
| ~ rline(X3)
| ~ rintersect(X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_666])]) ).
fof(f3124,plain,
( ! [X2,X3,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK33(X0,X3))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| rpoint(sK40(X0,X1,X2))
| ~ rline(X3)
| ~ rintersect(X0,X3) )
| ~ spl57_114
| ~ spl57_186 ),
inference(duplicate_literal_removal,[],[f3096]) ).
fof(f3096,plain,
( ! [X2,X3,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK33(X0,X3))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| rpoint(sK40(X0,X1,X2))
| ~ rline(X0)
| ~ rline(X3)
| ~ rintersect(X0,X3) )
| ~ spl57_114
| ~ spl57_186 ),
inference(resolution,[],[f3042,f2238]) ).
fof(f18597,plain,
( spl57_665
| ~ spl57_115
| ~ spl57_186 ),
inference(avatar_split_clause,[],[f3120,f3041,f2241,f18595]) ).
fof(f18595,plain,
( spl57_665
<=> ! [X0,X3,X2,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK33(X3,X0))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| rpoint(sK40(X0,X1,X2))
| ~ rline(X3)
| ~ rintersect(X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_665])]) ).
fof(f3120,plain,
( ! [X2,X3,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK33(X3,X0))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| rpoint(sK40(X0,X1,X2))
| ~ rline(X3)
| ~ rintersect(X3,X0) )
| ~ spl57_115
| ~ spl57_186 ),
inference(duplicate_literal_removal,[],[f3107]) ).
fof(f3107,plain,
( ! [X2,X3,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK33(X3,X0))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| rpoint(sK40(X0,X1,X2))
| ~ rline(X3)
| ~ rline(X0)
| ~ rintersect(X3,X0) )
| ~ spl57_115
| ~ spl57_186 ),
inference(resolution,[],[f3042,f2242]) ).
fof(f18593,plain,
( spl57_664
| ~ spl57_75
| ~ spl57_138 ),
inference(avatar_split_clause,[],[f2459,f2368,f1999,f18591]) ).
fof(f18591,plain,
( spl57_664
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK52(X2,X3,X4,X5)) = sK23(X0,X1,sK52(X2,X3,X4,X5))
| ~ sP3(X2,X3,X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_664])]) ).
fof(f2459,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK52(X2,X3,X4,X5)) = sK23(X0,X1,sK52(X2,X3,X4,X5))
| ~ sP3(X2,X3,X4,X5) )
| ~ spl57_75
| ~ spl57_138 ),
inference(resolution,[],[f2369,f2000]) ).
fof(f18589,plain,
( spl57_663
| ~ spl57_74
| ~ spl57_138 ),
inference(avatar_split_clause,[],[f2458,f2368,f1995,f18587]) ).
fof(f18587,plain,
( spl57_663
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK39(X2,X3,X4,X5)) = sK23(X0,X1,sK39(X2,X3,X4,X5))
| ~ sP2(X2,X3,X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_663])]) ).
fof(f2458,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK39(X2,X3,X4,X5)) = sK23(X0,X1,sK39(X2,X3,X4,X5))
| ~ sP2(X2,X3,X4,X5) )
| ~ spl57_74
| ~ spl57_138 ),
inference(resolution,[],[f2369,f1996]) ).
fof(f18585,plain,
( spl57_662
| ~ spl57_75
| ~ spl57_137 ),
inference(avatar_split_clause,[],[f2432,f2364,f1999,f18583]) ).
fof(f18583,plain,
( spl57_662
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK52(X2,X3,X4,X5)) = vg(X0,sK52(X2,X3,X4,X5),X1)
| ~ sP3(X2,X3,X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_662])]) ).
fof(f2432,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK52(X2,X3,X4,X5)) = vg(X0,sK52(X2,X3,X4,X5),X1)
| ~ sP3(X2,X3,X4,X5) )
| ~ spl57_75
| ~ spl57_137 ),
inference(resolution,[],[f2365,f2000]) ).
fof(f18581,plain,
( spl57_661
| ~ spl57_74
| ~ spl57_137 ),
inference(avatar_split_clause,[],[f2431,f2364,f1995,f18579]) ).
fof(f18579,plain,
( spl57_661
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK39(X2,X3,X4,X5)) = vg(X0,sK39(X2,X3,X4,X5),X1)
| ~ sP2(X2,X3,X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_661])]) ).
fof(f2431,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK39(X2,X3,X4,X5)) = vg(X0,sK39(X2,X3,X4,X5),X1)
| ~ sP2(X2,X3,X4,X5) )
| ~ spl57_74
| ~ spl57_137 ),
inference(resolution,[],[f2365,f1996]) ).
fof(f18577,plain,
( spl57_660
| ~ spl57_75
| ~ spl57_135 ),
inference(avatar_split_clause,[],[f2405,f2356,f1999,f18575]) ).
fof(f18575,plain,
( spl57_660
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK52(X2,X3,X4,X5)) = vg(sK52(X2,X3,X4,X5),X0,X1)
| ~ sP3(X2,X3,X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_660])]) ).
fof(f2405,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK52(X2,X3,X4,X5)) = vg(sK52(X2,X3,X4,X5),X0,X1)
| ~ sP3(X2,X3,X4,X5) )
| ~ spl57_75
| ~ spl57_135 ),
inference(resolution,[],[f2357,f2000]) ).
fof(f18573,plain,
( spl57_659
| ~ spl57_74
| ~ spl57_135 ),
inference(avatar_split_clause,[],[f2404,f2356,f1995,f18571]) ).
fof(f18571,plain,
( spl57_659
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK39(X2,X3,X4,X5)) = vg(sK39(X2,X3,X4,X5),X0,X1)
| ~ sP2(X2,X3,X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_659])]) ).
fof(f2404,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK39(X2,X3,X4,X5)) = vg(sK39(X2,X3,X4,X5),X0,X1)
| ~ sP2(X2,X3,X4,X5) )
| ~ spl57_74
| ~ spl57_135 ),
inference(resolution,[],[f2357,f1996]) ).
fof(f18569,plain,
( spl57_658
| ~ spl57_6
| ~ spl57_643 ),
inference(avatar_split_clause,[],[f18146,f18102,f1662,f18566]) ).
fof(f18566,plain,
( spl57_658
<=> vd684 = vg(vd14,vd14,sK17(sK16(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_658])]) ).
fof(f18146,plain,
( vd684 = vg(vd14,vd14,sK17(sK16(sK5)))
| ~ spl57_6
| ~ spl57_643 ),
inference(resolution,[],[f18103,f1664]) ).
fof(f18403,plain,
( spl57_657
| ~ spl57_7
| ~ spl57_643 ),
inference(avatar_split_clause,[],[f18145,f18102,f1667,f18400]) ).
fof(f18400,plain,
( spl57_657
<=> vd684 = vg(vd1409,vd1409,sK17(sK16(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_657])]) ).
fof(f18145,plain,
( vd684 = vg(vd1409,vd1409,sK17(sK16(sK5)))
| ~ spl57_7
| ~ spl57_643 ),
inference(resolution,[],[f18103,f1669]) ).
fof(f18197,plain,
( spl57_656
| ~ spl57_249 ),
inference(avatar_split_clause,[],[f4997,f4942,f18195]) ).
fof(f18195,plain,
( spl57_656
<=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] :
( vf(X0,X1) != vf(X2,X3)
| ~ sP4(X1,X0,X3,X2,X4,X5,X6,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_656])]) ).
fof(f4997,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] :
( vf(X0,X1) != vf(X2,X3)
| ~ sP4(X1,X0,X3,X2,X4,X5,X6,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13) )
| ~ spl57_249 ),
inference(equality_resolution,[],[f4943]) ).
fof(f18193,plain,
( spl57_655
| ~ spl57_52
| ~ spl57_187 ),
inference(avatar_split_clause,[],[f3662,f3127,f1881,f18191]) ).
fof(f18191,plain,
( spl57_655
<=> ! [X0,X3,X2,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK32(X3,X0))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ron(sK40(X0,X1,X2),X0)
| ~ sP1(X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_655])]) ).
fof(f1881,plain,
( spl57_52
<=> ! [X0,X1] :
( ron(sK32(X0,X1),X1)
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_52])]) ).
fof(f3662,plain,
( ! [X2,X3,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK32(X3,X0))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ron(sK40(X0,X1,X2),X0)
| ~ sP1(X3,X0) )
| ~ spl57_52
| ~ spl57_187 ),
inference(resolution,[],[f3128,f1882]) ).
fof(f1882,plain,
( ! [X0,X1] :
( ron(sK32(X0,X1),X1)
| ~ sP1(X0,X1) )
| ~ spl57_52 ),
inference(avatar_component_clause,[],[f1881]) ).
fof(f18189,plain,
( spl57_654
| ~ spl57_54
| ~ spl57_187 ),
inference(avatar_split_clause,[],[f3661,f3127,f1889,f18187]) ).
fof(f18187,plain,
( spl57_654
<=> ! [X0,X3,X2,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK31(X3,X0))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ron(sK40(X0,X1,X2),X0)
| ~ sP1(X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_654])]) ).
fof(f1889,plain,
( spl57_54
<=> ! [X0,X1] :
( ron(sK31(X0,X1),X1)
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_54])]) ).
fof(f3661,plain,
( ! [X2,X3,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK31(X3,X0))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ron(sK40(X0,X1,X2),X0)
| ~ sP1(X3,X0) )
| ~ spl57_54
| ~ spl57_187 ),
inference(resolution,[],[f3128,f1890]) ).
fof(f1890,plain,
( ! [X0,X1] :
( ron(sK31(X0,X1),X1)
| ~ sP1(X0,X1) )
| ~ spl57_54 ),
inference(avatar_component_clause,[],[f1889]) ).
fof(f18144,plain,
( spl57_653
| ~ spl57_48
| ~ spl57_187 ),
inference(avatar_split_clause,[],[f3658,f3127,f1865,f18142]) ).
fof(f18142,plain,
( spl57_653
<=> ! [X0,X3,X2,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK19(X3,X0))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ron(sK40(X0,X1,X2),X0)
| ~ sP0(X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_653])]) ).
fof(f1865,plain,
( spl57_48
<=> ! [X0,X1] :
( ron(sK19(X0,X1),X1)
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_48])]) ).
fof(f3658,plain,
( ! [X2,X3,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK19(X3,X0))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ron(sK40(X0,X1,X2),X0)
| ~ sP0(X3,X0) )
| ~ spl57_48
| ~ spl57_187 ),
inference(resolution,[],[f3128,f1866]) ).
fof(f1866,plain,
( ! [X0,X1] :
( ron(sK19(X0,X1),X1)
| ~ sP0(X0,X1) )
| ~ spl57_48 ),
inference(avatar_component_clause,[],[f1865]) ).
fof(f18140,plain,
( spl57_652
| ~ spl57_50
| ~ spl57_187 ),
inference(avatar_split_clause,[],[f3657,f3127,f1873,f18138]) ).
fof(f18138,plain,
( spl57_652
<=> ! [X0,X3,X2,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK18(X3,X0))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ron(sK40(X0,X1,X2),X0)
| ~ sP0(X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_652])]) ).
fof(f1873,plain,
( spl57_50
<=> ! [X0,X1] :
( ron(sK18(X0,X1),X1)
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_50])]) ).
fof(f3657,plain,
( ! [X2,X3,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK18(X3,X0))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ron(sK40(X0,X1,X2),X0)
| ~ sP0(X3,X0) )
| ~ spl57_50
| ~ spl57_187 ),
inference(resolution,[],[f3128,f1874]) ).
fof(f1874,plain,
( ! [X0,X1] :
( ron(sK18(X0,X1),X1)
| ~ sP0(X0,X1) )
| ~ spl57_50 ),
inference(avatar_component_clause,[],[f1873]) ).
fof(f18136,plain,
( spl57_651
| ~ spl57_53
| ~ spl57_187 ),
inference(avatar_split_clause,[],[f3651,f3127,f1885,f18134]) ).
fof(f18134,plain,
( spl57_651
<=> ! [X0,X3,X2,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK32(X0,X3))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ron(sK40(X0,X1,X2),X0)
| ~ sP1(X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_651])]) ).
fof(f1885,plain,
( spl57_53
<=> ! [X0,X1] :
( ron(sK32(X0,X1),X0)
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_53])]) ).
fof(f3651,plain,
( ! [X2,X3,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK32(X0,X3))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ron(sK40(X0,X1,X2),X0)
| ~ sP1(X0,X3) )
| ~ spl57_53
| ~ spl57_187 ),
inference(resolution,[],[f3128,f1886]) ).
fof(f1886,plain,
( ! [X0,X1] :
( ron(sK32(X0,X1),X0)
| ~ sP1(X0,X1) )
| ~ spl57_53 ),
inference(avatar_component_clause,[],[f1885]) ).
fof(f18132,plain,
( spl57_650
| ~ spl57_55
| ~ spl57_187 ),
inference(avatar_split_clause,[],[f3650,f3127,f1893,f18130]) ).
fof(f18130,plain,
( spl57_650
<=> ! [X0,X3,X2,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK31(X0,X3))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ron(sK40(X0,X1,X2),X0)
| ~ sP1(X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_650])]) ).
fof(f1893,plain,
( spl57_55
<=> ! [X0,X1] :
( ron(sK31(X0,X1),X0)
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_55])]) ).
fof(f3650,plain,
( ! [X2,X3,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK31(X0,X3))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ron(sK40(X0,X1,X2),X0)
| ~ sP1(X0,X3) )
| ~ spl57_55
| ~ spl57_187 ),
inference(resolution,[],[f3128,f1894]) ).
fof(f1894,plain,
( ! [X0,X1] :
( ron(sK31(X0,X1),X0)
| ~ sP1(X0,X1) )
| ~ spl57_55 ),
inference(avatar_component_clause,[],[f1893]) ).
fof(f18128,plain,
( spl57_649
| ~ spl57_49
| ~ spl57_187 ),
inference(avatar_split_clause,[],[f3647,f3127,f1869,f18126]) ).
fof(f18126,plain,
( spl57_649
<=> ! [X0,X3,X2,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK19(X0,X3))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ron(sK40(X0,X1,X2),X0)
| ~ sP0(X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_649])]) ).
fof(f1869,plain,
( spl57_49
<=> ! [X0,X1] :
( ron(sK19(X0,X1),X0)
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_49])]) ).
fof(f3647,plain,
( ! [X2,X3,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK19(X0,X3))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ron(sK40(X0,X1,X2),X0)
| ~ sP0(X0,X3) )
| ~ spl57_49
| ~ spl57_187 ),
inference(resolution,[],[f3128,f1870]) ).
fof(f1870,plain,
( ! [X0,X1] :
( ron(sK19(X0,X1),X0)
| ~ sP0(X0,X1) )
| ~ spl57_49 ),
inference(avatar_component_clause,[],[f1869]) ).
fof(f18124,plain,
( spl57_648
| ~ spl57_51
| ~ spl57_187 ),
inference(avatar_split_clause,[],[f3646,f3127,f1877,f18122]) ).
fof(f18122,plain,
( spl57_648
<=> ! [X0,X3,X2,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK18(X0,X3))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ron(sK40(X0,X1,X2),X0)
| ~ sP0(X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_648])]) ).
fof(f1877,plain,
( spl57_51
<=> ! [X0,X1] :
( ron(sK18(X0,X1),X0)
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_51])]) ).
fof(f3646,plain,
( ! [X2,X3,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK18(X0,X3))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ron(sK40(X0,X1,X2),X0)
| ~ sP0(X0,X3) )
| ~ spl57_51
| ~ spl57_187 ),
inference(resolution,[],[f3128,f1878]) ).
fof(f1878,plain,
( ! [X0,X1] :
( ron(sK18(X0,X1),X0)
| ~ sP0(X0,X1) )
| ~ spl57_51 ),
inference(avatar_component_clause,[],[f1877]) ).
fof(f18120,plain,
( spl57_647
| ~ spl57_52
| ~ spl57_182 ),
inference(avatar_split_clause,[],[f3012,f2869,f1881,f18118]) ).
fof(f18118,plain,
( spl57_647
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK32(X1,X2))
| ~ rline(X3)
| rS(X0,sK32(X1,X2),X3)
| ~ rline(X2)
| ~ ron(X0,X2)
| rintersect(X3,X2)
| ~ sP1(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_647])]) ).
fof(f3012,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK32(X1,X2))
| ~ rline(X3)
| rS(X0,sK32(X1,X2),X3)
| ~ rline(X2)
| ~ ron(X0,X2)
| rintersect(X3,X2)
| ~ sP1(X1,X2) )
| ~ spl57_52
| ~ spl57_182 ),
inference(resolution,[],[f2870,f1882]) ).
fof(f18116,plain,
( spl57_646
| ~ spl57_54
| ~ spl57_182 ),
inference(avatar_split_clause,[],[f3011,f2869,f1889,f18114]) ).
fof(f18114,plain,
( spl57_646
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK31(X1,X2))
| ~ rline(X3)
| rS(X0,sK31(X1,X2),X3)
| ~ rline(X2)
| ~ ron(X0,X2)
| rintersect(X3,X2)
| ~ sP1(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_646])]) ).
fof(f3011,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK31(X1,X2))
| ~ rline(X3)
| rS(X0,sK31(X1,X2),X3)
| ~ rline(X2)
| ~ ron(X0,X2)
| rintersect(X3,X2)
| ~ sP1(X1,X2) )
| ~ spl57_54
| ~ spl57_182 ),
inference(resolution,[],[f2870,f1890]) ).
fof(f18112,plain,
( spl57_645
| ~ spl57_48
| ~ spl57_182 ),
inference(avatar_split_clause,[],[f3008,f2869,f1865,f18110]) ).
fof(f18110,plain,
( spl57_645
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK19(X1,X2))
| ~ rline(X3)
| rS(X0,sK19(X1,X2),X3)
| ~ rline(X2)
| ~ ron(X0,X2)
| rintersect(X3,X2)
| ~ sP0(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_645])]) ).
fof(f3008,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK19(X1,X2))
| ~ rline(X3)
| rS(X0,sK19(X1,X2),X3)
| ~ rline(X2)
| ~ ron(X0,X2)
| rintersect(X3,X2)
| ~ sP0(X1,X2) )
| ~ spl57_48
| ~ spl57_182 ),
inference(resolution,[],[f2870,f1866]) ).
fof(f18108,plain,
( spl57_644
| ~ spl57_50
| ~ spl57_182 ),
inference(avatar_split_clause,[],[f3007,f2869,f1873,f18106]) ).
fof(f18106,plain,
( spl57_644
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK18(X1,X2))
| ~ rline(X3)
| rS(X0,sK18(X1,X2),X3)
| ~ rline(X2)
| ~ ron(X0,X2)
| rintersect(X3,X2)
| ~ sP0(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_644])]) ).
fof(f3007,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK18(X1,X2))
| ~ rline(X3)
| rS(X0,sK18(X1,X2),X3)
| ~ rline(X2)
| ~ ron(X0,X2)
| rintersect(X3,X2)
| ~ sP0(X1,X2) )
| ~ spl57_50
| ~ spl57_182 ),
inference(resolution,[],[f2870,f1874]) ).
fof(f18104,plain,
( spl57_643
| ~ spl57_337
| ~ spl57_351 ),
inference(avatar_split_clause,[],[f9217,f9152,f8508,f18102]) ).
fof(f9152,plain,
( spl57_351
<=> ! [X0,X1] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK17(X1))
| ~ rpoint(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_351])]) ).
fof(f9217,plain,
( ! [X0] :
( vd684 = vg(X0,X0,sK17(sK16(sK5)))
| ~ rpoint(X0) )
| ~ spl57_337
| ~ spl57_351 ),
inference(resolution,[],[f9153,f8509]) ).
fof(f9153,plain,
( ! [X0,X1] :
( ~ rpoint(X1)
| vd684 = vg(X0,X0,sK17(X1))
| ~ rpoint(X0) )
| ~ spl57_351 ),
inference(avatar_component_clause,[],[f9152]) ).
fof(f18100,plain,
( spl57_642
| ~ spl57_53
| ~ spl57_182 ),
inference(avatar_split_clause,[],[f3001,f2869,f1885,f18098]) ).
fof(f18098,plain,
( spl57_642
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK32(X1,X2))
| ~ rline(X3)
| rS(X0,sK32(X1,X2),X3)
| ~ rline(X1)
| ~ ron(X0,X1)
| rintersect(X3,X1)
| ~ sP1(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_642])]) ).
fof(f3001,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK32(X1,X2))
| ~ rline(X3)
| rS(X0,sK32(X1,X2),X3)
| ~ rline(X1)
| ~ ron(X0,X1)
| rintersect(X3,X1)
| ~ sP1(X1,X2) )
| ~ spl57_53
| ~ spl57_182 ),
inference(resolution,[],[f2870,f1886]) ).
fof(f18096,plain,
( spl57_641
| ~ spl57_55
| ~ spl57_182 ),
inference(avatar_split_clause,[],[f3000,f2869,f1893,f18094]) ).
fof(f18094,plain,
( spl57_641
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK31(X1,X2))
| ~ rline(X3)
| rS(X0,sK31(X1,X2),X3)
| ~ rline(X1)
| ~ ron(X0,X1)
| rintersect(X3,X1)
| ~ sP1(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_641])]) ).
fof(f3000,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK31(X1,X2))
| ~ rline(X3)
| rS(X0,sK31(X1,X2),X3)
| ~ rline(X1)
| ~ ron(X0,X1)
| rintersect(X3,X1)
| ~ sP1(X1,X2) )
| ~ spl57_55
| ~ spl57_182 ),
inference(resolution,[],[f2870,f1894]) ).
fof(f18092,plain,
( spl57_640
| ~ spl57_49
| ~ spl57_182 ),
inference(avatar_split_clause,[],[f2997,f2869,f1869,f18090]) ).
fof(f18090,plain,
( spl57_640
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK19(X1,X2))
| ~ rline(X3)
| rS(X0,sK19(X1,X2),X3)
| ~ rline(X1)
| ~ ron(X0,X1)
| rintersect(X3,X1)
| ~ sP0(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_640])]) ).
fof(f2997,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK19(X1,X2))
| ~ rline(X3)
| rS(X0,sK19(X1,X2),X3)
| ~ rline(X1)
| ~ ron(X0,X1)
| rintersect(X3,X1)
| ~ sP0(X1,X2) )
| ~ spl57_49
| ~ spl57_182 ),
inference(resolution,[],[f2870,f1870]) ).
fof(f18088,plain,
( spl57_639
| ~ spl57_51
| ~ spl57_182 ),
inference(avatar_split_clause,[],[f2996,f2869,f1877,f18086]) ).
fof(f18086,plain,
( spl57_639
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK18(X1,X2))
| ~ rline(X3)
| rS(X0,sK18(X1,X2),X3)
| ~ rline(X1)
| ~ ron(X0,X1)
| rintersect(X3,X1)
| ~ sP0(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_639])]) ).
fof(f2996,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK18(X1,X2))
| ~ rline(X3)
| rS(X0,sK18(X1,X2),X3)
| ~ rline(X1)
| ~ ron(X0,X1)
| rintersect(X3,X1)
| ~ sP0(X1,X2) )
| ~ spl57_51
| ~ spl57_182 ),
inference(resolution,[],[f2870,f1878]) ).
fof(f18084,plain,
( spl57_638
| ~ spl57_134
| ~ spl57_169 ),
inference(avatar_split_clause,[],[f2804,f2762,f2346,f18082]) ).
fof(f18082,plain,
( spl57_638
<=> ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| ~ rpoint(X2)
| ~ rS(X2,X1,X0)
| ~ rpoint(sK42(X0,X1,X2))
| rS(X1,sK42(X0,X1,X2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_638])]) ).
fof(f2804,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| ~ rpoint(X2)
| ~ rS(X2,X1,X0)
| ~ rpoint(sK42(X0,X1,X2))
| rS(X1,sK42(X0,X1,X2),X0) )
| ~ spl57_134
| ~ spl57_169 ),
inference(duplicate_literal_removal,[],[f2801]) ).
fof(f2801,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| ~ rpoint(X2)
| ~ rS(X2,X1,X0)
| ~ rpoint(sK42(X0,X1,X2))
| ~ rpoint(X1)
| ~ rline(X0)
| rS(X1,sK42(X0,X1,X2),X0) )
| ~ spl57_134
| ~ spl57_169 ),
inference(resolution,[],[f2763,f2347]) ).
fof(f18080,plain,
( spl57_637
| ~ spl57_81
| ~ spl57_138 ),
inference(avatar_split_clause,[],[f2448,f2368,f2024,f18078]) ).
fof(f18078,plain,
( spl57_637
<=> ! [X2,X4,X0,X3,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK22(X2,X3,X4)) = sK23(X0,X1,sK22(X2,X3,X4))
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_637])]) ).
fof(f2448,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK22(X2,X3,X4)) = sK23(X0,X1,sK22(X2,X3,X4))
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X4) )
| ~ spl57_81
| ~ spl57_138 ),
inference(resolution,[],[f2369,f2025]) ).
fof(f18076,plain,
( spl57_636
| ~ spl57_81
| ~ spl57_137 ),
inference(avatar_split_clause,[],[f2421,f2364,f2024,f18074]) ).
fof(f18074,plain,
( spl57_636
<=> ! [X2,X4,X0,X3,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK22(X2,X3,X4)) = vg(X0,sK22(X2,X3,X4),X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_636])]) ).
fof(f2421,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK22(X2,X3,X4)) = vg(X0,sK22(X2,X3,X4),X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X4) )
| ~ spl57_81
| ~ spl57_137 ),
inference(resolution,[],[f2365,f2025]) ).
fof(f18072,plain,
( spl57_635
| ~ spl57_81
| ~ spl57_135 ),
inference(avatar_split_clause,[],[f2394,f2356,f2024,f18070]) ).
fof(f18070,plain,
( spl57_635
<=> ! [X2,X4,X0,X3,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK22(X2,X3,X4)) = vg(sK22(X2,X3,X4),X0,X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_635])]) ).
fof(f2394,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK22(X2,X3,X4)) = vg(sK22(X2,X3,X4),X0,X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X4) )
| ~ spl57_81
| ~ spl57_135 ),
inference(resolution,[],[f2357,f2025]) ).
fof(f17834,plain,
( spl57_634
| ~ spl57_337
| ~ spl57_435 ),
inference(avatar_split_clause,[],[f13265,f11113,f8508,f17831]) ).
fof(f17831,plain,
( spl57_634
<=> vd684 = vg(sK16(sK5),sK16(sK5),sK16(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_634])]) ).
fof(f11113,plain,
( spl57_435
<=> ! [X0] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK16(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_435])]) ).
fof(f13265,plain,
( vd684 = vg(sK16(sK5),sK16(sK5),sK16(sK5))
| ~ spl57_337
| ~ spl57_435 ),
inference(resolution,[],[f11114,f8509]) ).
fof(f11114,plain,
( ! [X0] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK16(sK5)) )
| ~ spl57_435 ),
inference(avatar_component_clause,[],[f11113]) ).
fof(f17623,plain,
( spl57_633
| ~ spl57_52
| ~ spl57_186 ),
inference(avatar_split_clause,[],[f3106,f3041,f1881,f17621]) ).
fof(f17621,plain,
( spl57_633
<=> ! [X0,X3,X2,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK32(X3,X0))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| rpoint(sK40(X0,X1,X2))
| ~ sP1(X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_633])]) ).
fof(f3106,plain,
( ! [X2,X3,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK32(X3,X0))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| rpoint(sK40(X0,X1,X2))
| ~ sP1(X3,X0) )
| ~ spl57_52
| ~ spl57_186 ),
inference(resolution,[],[f3042,f1882]) ).
fof(f17619,plain,
( spl57_632
| ~ spl57_54
| ~ spl57_186 ),
inference(avatar_split_clause,[],[f3105,f3041,f1889,f17617]) ).
fof(f17617,plain,
( spl57_632
<=> ! [X0,X3,X2,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK31(X3,X0))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| rpoint(sK40(X0,X1,X2))
| ~ sP1(X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_632])]) ).
fof(f3105,plain,
( ! [X2,X3,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK31(X3,X0))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| rpoint(sK40(X0,X1,X2))
| ~ sP1(X3,X0) )
| ~ spl57_54
| ~ spl57_186 ),
inference(resolution,[],[f3042,f1890]) ).
fof(f17615,plain,
( spl57_631
| ~ spl57_48
| ~ spl57_186 ),
inference(avatar_split_clause,[],[f3102,f3041,f1865,f17613]) ).
fof(f17613,plain,
( spl57_631
<=> ! [X0,X3,X2,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK19(X3,X0))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| rpoint(sK40(X0,X1,X2))
| ~ sP0(X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_631])]) ).
fof(f3102,plain,
( ! [X2,X3,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK19(X3,X0))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| rpoint(sK40(X0,X1,X2))
| ~ sP0(X3,X0) )
| ~ spl57_48
| ~ spl57_186 ),
inference(resolution,[],[f3042,f1866]) ).
fof(f17611,plain,
( spl57_630
| ~ spl57_50
| ~ spl57_186 ),
inference(avatar_split_clause,[],[f3101,f3041,f1873,f17609]) ).
fof(f17609,plain,
( spl57_630
<=> ! [X0,X3,X2,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK18(X3,X0))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| rpoint(sK40(X0,X1,X2))
| ~ sP0(X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_630])]) ).
fof(f3101,plain,
( ! [X2,X3,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK18(X3,X0))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| rpoint(sK40(X0,X1,X2))
| ~ sP0(X3,X0) )
| ~ spl57_50
| ~ spl57_186 ),
inference(resolution,[],[f3042,f1874]) ).
fof(f17607,plain,
( spl57_629
| ~ spl57_53
| ~ spl57_186 ),
inference(avatar_split_clause,[],[f3095,f3041,f1885,f17605]) ).
fof(f17605,plain,
( spl57_629
<=> ! [X0,X3,X2,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK32(X0,X3))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| rpoint(sK40(X0,X1,X2))
| ~ sP1(X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_629])]) ).
fof(f3095,plain,
( ! [X2,X3,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK32(X0,X3))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| rpoint(sK40(X0,X1,X2))
| ~ sP1(X0,X3) )
| ~ spl57_53
| ~ spl57_186 ),
inference(resolution,[],[f3042,f1886]) ).
fof(f17603,plain,
( spl57_628
| ~ spl57_55
| ~ spl57_186 ),
inference(avatar_split_clause,[],[f3094,f3041,f1893,f17601]) ).
fof(f17601,plain,
( spl57_628
<=> ! [X0,X3,X2,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK31(X0,X3))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| rpoint(sK40(X0,X1,X2))
| ~ sP1(X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_628])]) ).
fof(f3094,plain,
( ! [X2,X3,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK31(X0,X3))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| rpoint(sK40(X0,X1,X2))
| ~ sP1(X0,X3) )
| ~ spl57_55
| ~ spl57_186 ),
inference(resolution,[],[f3042,f1894]) ).
fof(f17599,plain,
( spl57_627
| ~ spl57_49
| ~ spl57_186 ),
inference(avatar_split_clause,[],[f3091,f3041,f1869,f17597]) ).
fof(f17597,plain,
( spl57_627
<=> ! [X0,X3,X2,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK19(X0,X3))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| rpoint(sK40(X0,X1,X2))
| ~ sP0(X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_627])]) ).
fof(f3091,plain,
( ! [X2,X3,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK19(X0,X3))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| rpoint(sK40(X0,X1,X2))
| ~ sP0(X0,X3) )
| ~ spl57_49
| ~ spl57_186 ),
inference(resolution,[],[f3042,f1870]) ).
fof(f17595,plain,
( spl57_626
| ~ spl57_51
| ~ spl57_186 ),
inference(avatar_split_clause,[],[f3090,f3041,f1877,f17593]) ).
fof(f17593,plain,
( spl57_626
<=> ! [X0,X3,X2,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK18(X0,X3))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| rpoint(sK40(X0,X1,X2))
| ~ sP0(X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_626])]) ).
fof(f3090,plain,
( ! [X2,X3,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK18(X0,X3))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| rpoint(sK40(X0,X1,X2))
| ~ sP0(X0,X3) )
| ~ spl57_51
| ~ spl57_186 ),
inference(resolution,[],[f3042,f1878]) ).
fof(f17591,plain,
( spl57_625
| ~ spl57_129
| ~ spl57_169 ),
inference(avatar_split_clause,[],[f2803,f2762,f2308,f17589]) ).
fof(f17589,plain,
( spl57_625
<=> ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| ~ rpoint(X2)
| ~ rS(X2,X1,X0)
| ~ rpoint(sK42(X0,X1,X2))
| ~ ron(sK42(X0,X1,X2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_625])]) ).
fof(f2803,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| ~ rpoint(X2)
| ~ rS(X2,X1,X0)
| ~ rpoint(sK42(X0,X1,X2))
| ~ ron(sK42(X0,X1,X2),X0) )
| ~ spl57_129
| ~ spl57_169 ),
inference(duplicate_literal_removal,[],[f2802]) ).
fof(f2802,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| ~ rpoint(X2)
| ~ rS(X2,X1,X0)
| ~ rpoint(sK42(X0,X1,X2))
| ~ rpoint(X1)
| ~ rline(X0)
| ~ ron(sK42(X0,X1,X2),X0) )
| ~ spl57_129
| ~ spl57_169 ),
inference(resolution,[],[f2763,f2309]) ).
fof(f17587,plain,
( spl57_624
| ~ spl57_70
| ~ spl57_150 ),
inference(avatar_split_clause,[],[f2606,f2561,f1960,f17585]) ).
fof(f17585,plain,
( spl57_624
<=> ! [X0,X3,X2,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| ~ rpoint(X2)
| ~ rS(X2,X1,X0)
| ~ rpoint(X3)
| vd684 = vg(X3,X3,sK42(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_624])]) ).
fof(f2606,plain,
( ! [X2,X3,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| ~ rpoint(X2)
| ~ rS(X2,X1,X0)
| ~ rpoint(X3)
| vd684 = vg(X3,X3,sK42(X0,X1,X2)) )
| ~ spl57_70
| ~ spl57_150 ),
inference(resolution,[],[f2562,f1961]) ).
fof(f17583,plain,
( spl57_623
| ~ spl57_44
| ~ spl57_150 ),
inference(avatar_split_clause,[],[f2605,f2561,f1832,f17581]) ).
fof(f17581,plain,
( spl57_623
<=> ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| ~ rpoint(X2)
| ~ rS(X2,X1,X0)
| vd684 = vf(sK42(X0,X1,X2),sK42(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_623])]) ).
fof(f2605,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| ~ rpoint(X2)
| ~ rS(X2,X1,X0)
| vd684 = vf(sK42(X0,X1,X2),sK42(X0,X1,X2)) )
| ~ spl57_44
| ~ spl57_150 ),
inference(resolution,[],[f2562,f1833]) ).
fof(f17579,plain,
( spl57_622
| ~ spl57_93
| ~ spl57_138 ),
inference(avatar_split_clause,[],[f2457,f2368,f2072,f17577]) ).
fof(f17577,plain,
( spl57_622
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK35(X2,X3)) = sK23(X0,X1,sK35(X2,X3))
| ~ rline(X2)
| ~ rpoint(X3)
| ~ ron(X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_622])]) ).
fof(f2457,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK35(X2,X3)) = sK23(X0,X1,sK35(X2,X3))
| ~ rline(X2)
| ~ rpoint(X3)
| ~ ron(X3,X2) )
| ~ spl57_93
| ~ spl57_138 ),
inference(resolution,[],[f2369,f2073]) ).
fof(f17575,plain,
( spl57_621
| ~ spl57_91
| ~ spl57_138 ),
inference(avatar_split_clause,[],[f2455,f2368,f2064,f17573]) ).
fof(f17573,plain,
( spl57_621
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK33(X2,X3)) = sK23(X0,X1,sK33(X2,X3))
| ~ rline(X2)
| ~ rline(X3)
| ~ rintersect(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_621])]) ).
fof(f2455,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK33(X2,X3)) = sK23(X0,X1,sK33(X2,X3))
| ~ rline(X2)
| ~ rline(X3)
| ~ rintersect(X2,X3) )
| ~ spl57_91
| ~ spl57_138 ),
inference(resolution,[],[f2369,f2065]) ).
fof(f17571,plain,
( spl57_620
| ~ spl57_87
| ~ spl57_138 ),
inference(avatar_split_clause,[],[f2450,f2368,f2048,f17569]) ).
fof(f17569,plain,
( spl57_620
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK28(X2,X3)) = sK23(X0,X1,sK28(X2,X3))
| ~ rline(X2)
| ~ rpoint(X3)
| ron(X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_620])]) ).
fof(f2450,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK28(X2,X3)) = sK23(X0,X1,sK28(X2,X3))
| ~ rline(X2)
| ~ rpoint(X3)
| ron(X3,X2) )
| ~ spl57_87
| ~ spl57_138 ),
inference(resolution,[],[f2369,f2049]) ).
fof(f17567,plain,
( spl57_619
| ~ spl57_86
| ~ spl57_138 ),
inference(avatar_split_clause,[],[f2449,f2368,f2044,f17565]) ).
fof(f17565,plain,
( spl57_619
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK27(X2,X3)) = sK23(X0,X1,sK27(X2,X3))
| ~ rline(X2)
| ~ rpoint(X3)
| ron(X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_619])]) ).
fof(f2449,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK27(X2,X3)) = sK23(X0,X1,sK27(X2,X3))
| ~ rline(X2)
| ~ rpoint(X3)
| ron(X3,X2) )
| ~ spl57_86
| ~ spl57_138 ),
inference(resolution,[],[f2369,f2045]) ).
fof(f17563,plain,
( spl57_618
| ~ spl57_93
| ~ spl57_137 ),
inference(avatar_split_clause,[],[f2430,f2364,f2072,f17561]) ).
fof(f17561,plain,
( spl57_618
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK35(X2,X3)) = vg(X0,sK35(X2,X3),X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ~ ron(X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_618])]) ).
fof(f2430,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK35(X2,X3)) = vg(X0,sK35(X2,X3),X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ~ ron(X3,X2) )
| ~ spl57_93
| ~ spl57_137 ),
inference(resolution,[],[f2365,f2073]) ).
fof(f17559,plain,
( spl57_617
| ~ spl57_91
| ~ spl57_137 ),
inference(avatar_split_clause,[],[f2428,f2364,f2064,f17557]) ).
fof(f17557,plain,
( spl57_617
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK33(X2,X3)) = vg(X0,sK33(X2,X3),X1)
| ~ rline(X2)
| ~ rline(X3)
| ~ rintersect(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_617])]) ).
fof(f2428,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK33(X2,X3)) = vg(X0,sK33(X2,X3),X1)
| ~ rline(X2)
| ~ rline(X3)
| ~ rintersect(X2,X3) )
| ~ spl57_91
| ~ spl57_137 ),
inference(resolution,[],[f2365,f2065]) ).
fof(f17555,plain,
( spl57_616
| ~ spl57_87
| ~ spl57_137 ),
inference(avatar_split_clause,[],[f2423,f2364,f2048,f17553]) ).
fof(f17553,plain,
( spl57_616
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK28(X2,X3)) = vg(X0,sK28(X2,X3),X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ron(X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_616])]) ).
fof(f2423,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK28(X2,X3)) = vg(X0,sK28(X2,X3),X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ron(X3,X2) )
| ~ spl57_87
| ~ spl57_137 ),
inference(resolution,[],[f2365,f2049]) ).
fof(f17551,plain,
( spl57_615
| ~ spl57_86
| ~ spl57_137 ),
inference(avatar_split_clause,[],[f2422,f2364,f2044,f17549]) ).
fof(f17549,plain,
( spl57_615
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK27(X2,X3)) = vg(X0,sK27(X2,X3),X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ron(X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_615])]) ).
fof(f2422,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK27(X2,X3)) = vg(X0,sK27(X2,X3),X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ron(X3,X2) )
| ~ spl57_86
| ~ spl57_137 ),
inference(resolution,[],[f2365,f2045]) ).
fof(f17547,plain,
( spl57_614
| ~ spl57_93
| ~ spl57_135 ),
inference(avatar_split_clause,[],[f2403,f2356,f2072,f17545]) ).
fof(f17545,plain,
( spl57_614
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK35(X2,X3)) = vg(sK35(X2,X3),X0,X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ~ ron(X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_614])]) ).
fof(f2403,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK35(X2,X3)) = vg(sK35(X2,X3),X0,X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ~ ron(X3,X2) )
| ~ spl57_93
| ~ spl57_135 ),
inference(resolution,[],[f2357,f2073]) ).
fof(f17543,plain,
( spl57_613
| ~ spl57_91
| ~ spl57_135 ),
inference(avatar_split_clause,[],[f2401,f2356,f2064,f17541]) ).
fof(f17541,plain,
( spl57_613
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK33(X2,X3)) = vg(sK33(X2,X3),X0,X1)
| ~ rline(X2)
| ~ rline(X3)
| ~ rintersect(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_613])]) ).
fof(f2401,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK33(X2,X3)) = vg(sK33(X2,X3),X0,X1)
| ~ rline(X2)
| ~ rline(X3)
| ~ rintersect(X2,X3) )
| ~ spl57_91
| ~ spl57_135 ),
inference(resolution,[],[f2357,f2065]) ).
fof(f17539,plain,
( spl57_612
| ~ spl57_87
| ~ spl57_135 ),
inference(avatar_split_clause,[],[f2396,f2356,f2048,f17537]) ).
fof(f17537,plain,
( spl57_612
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK28(X2,X3)) = vg(sK28(X2,X3),X0,X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ron(X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_612])]) ).
fof(f2396,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK28(X2,X3)) = vg(sK28(X2,X3),X0,X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ron(X3,X2) )
| ~ spl57_87
| ~ spl57_135 ),
inference(resolution,[],[f2357,f2049]) ).
fof(f17535,plain,
( spl57_611
| ~ spl57_86
| ~ spl57_135 ),
inference(avatar_split_clause,[],[f2395,f2356,f2044,f17533]) ).
fof(f17533,plain,
( spl57_611
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK27(X2,X3)) = vg(sK27(X2,X3),X0,X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ron(X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_611])]) ).
fof(f2395,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK27(X2,X3)) = vg(sK27(X2,X3),X0,X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ron(X3,X2) )
| ~ spl57_86
| ~ spl57_135 ),
inference(resolution,[],[f2357,f2045]) ).
fof(f17341,plain,
( spl57_610
| ~ spl57_126
| ~ spl57_168 ),
inference(avatar_split_clause,[],[f2798,f2758,f2296,f17339]) ).
fof(f17339,plain,
( spl57_610
<=> ! [X2,X0,X1] :
( ~ rpoint(sK27(X0,X1))
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rline(X0)
| ~ rS(sK27(X0,X1),X2,X0)
| rS(X2,X1,X0)
| ron(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_610])]) ).
fof(f2798,plain,
( ! [X2,X0,X1] :
( ~ rpoint(sK27(X0,X1))
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rline(X0)
| ~ rS(sK27(X0,X1),X2,X0)
| rS(X2,X1,X0)
| ron(X1,X0) )
| ~ spl57_126
| ~ spl57_168 ),
inference(duplicate_literal_removal,[],[f2796]) ).
fof(f2796,plain,
( ! [X2,X0,X1] :
( ~ rpoint(sK27(X0,X1))
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rline(X0)
| ~ rS(sK27(X0,X1),X2,X0)
| rS(X2,X1,X0)
| ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0) )
| ~ spl57_126
| ~ spl57_168 ),
inference(resolution,[],[f2759,f2297]) ).
fof(f17337,plain,
( spl57_609
| ~ spl57_27
| ~ spl57_145 ),
inference(avatar_split_clause,[],[f2587,f2540,f1762,f17335]) ).
fof(f17335,plain,
( spl57_609
<=> ! [X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK17(X1)) = vf(sK17(X1),vskolem1052(X0,X0,sK17(X1),sK17(X1)))
| sK17(X1) = X0
| ~ rpoint(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_609])]) ).
fof(f2587,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK17(X1)) = vf(sK17(X1),vskolem1052(X0,X0,sK17(X1),sK17(X1)))
| sK17(X1) = X0
| ~ rpoint(X1) )
| ~ spl57_27
| ~ spl57_145 ),
inference(resolution,[],[f2541,f1763]) ).
fof(f17333,plain,
( spl57_608
| ~ spl57_26
| ~ spl57_145 ),
inference(avatar_split_clause,[],[f2586,f2540,f1758,f17331]) ).
fof(f17331,plain,
( spl57_608
<=> ! [X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK16(X1)) = vf(sK16(X1),vskolem1052(X0,X0,sK16(X1),sK16(X1)))
| sK16(X1) = X0
| ~ rline(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_608])]) ).
fof(f2586,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK16(X1)) = vf(sK16(X1),vskolem1052(X0,X0,sK16(X1),sK16(X1)))
| sK16(X1) = X0
| ~ rline(X1) )
| ~ spl57_26
| ~ spl57_145 ),
inference(resolution,[],[f2541,f1759]) ).
fof(f17329,plain,
( spl57_607
| ~ spl57_70
| ~ spl57_144 ),
inference(avatar_split_clause,[],[f2532,f2520,f1960,f17327]) ).
fof(f17327,plain,
( spl57_607
<=> ! [X0,X3,X2,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ~ rpoint(X3)
| vd684 = vg(X3,X3,sK44(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_607])]) ).
fof(f2532,plain,
( ! [X2,X3,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ~ rpoint(X3)
| vd684 = vg(X3,X3,sK44(X0,X1,X2)) )
| ~ spl57_70
| ~ spl57_144 ),
inference(resolution,[],[f2521,f1961]) ).
fof(f17325,plain,
( spl57_606
| ~ spl57_44
| ~ spl57_144 ),
inference(avatar_split_clause,[],[f2531,f2520,f1832,f17323]) ).
fof(f17323,plain,
( spl57_606
<=> ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| vd684 = vf(sK44(X0,X1,X2),sK44(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_606])]) ).
fof(f2531,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| vd684 = vf(sK44(X0,X1,X2),sK44(X0,X1,X2)) )
| ~ spl57_44
| ~ spl57_144 ),
inference(resolution,[],[f2521,f1833]) ).
fof(f17321,plain,
( spl57_605
| ~ spl57_122
| ~ spl57_134 ),
inference(avatar_split_clause,[],[f2352,f2346,f2280,f17319]) ).
fof(f17319,plain,
( spl57_605
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(sK52(X0,X1,X2,X3))
| ~ rpoint(X1)
| ~ rline(X0)
| rS(X1,sK52(X0,X1,X2,X3),X0)
| ~ sP3(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_605])]) ).
fof(f2352,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(sK52(X0,X1,X2,X3))
| ~ rpoint(X1)
| ~ rline(X0)
| rS(X1,sK52(X0,X1,X2,X3),X0)
| ~ sP3(X0,X1,X2,X3) )
| ~ spl57_122
| ~ spl57_134 ),
inference(resolution,[],[f2347,f2281]) ).
fof(f17309,plain,
( spl57_604
| ~ spl57_31
| ~ spl57_210 ),
inference(avatar_split_clause,[],[f4226,f4222,f1778,f17307]) ).
fof(f17307,plain,
( spl57_604
<=> ! [X0,X1] :
( rS(X0,sK14(X1),sK38(X0,sK14(X1)))
| ~ rcircle(X1)
| ~ rpoint(sK14(X1))
| rintersect(sK37(X1),X1)
| ~ rpoint(X0)
| ~ ron(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_604])]) ).
fof(f1778,plain,
( spl57_31
<=> ! [X1] :
( rinside(sK14(X1),X1)
| ~ rcircle(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_31])]) ).
fof(f4222,plain,
( spl57_210
<=> ! [X6,X5,X7] :
( rintersect(sK37(X7),X7)
| rS(X5,X6,sK38(X5,X6))
| ~ rcircle(X7)
| ~ rpoint(X6)
| ~ rinside(X6,X7)
| ~ rpoint(X5)
| ~ ron(X5,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_210])]) ).
fof(f4226,plain,
( ! [X0,X1] :
( rS(X0,sK14(X1),sK38(X0,sK14(X1)))
| ~ rcircle(X1)
| ~ rpoint(sK14(X1))
| rintersect(sK37(X1),X1)
| ~ rpoint(X0)
| ~ ron(X0,X1) )
| ~ spl57_31
| ~ spl57_210 ),
inference(duplicate_literal_removal,[],[f4225]) ).
fof(f4225,plain,
( ! [X0,X1] :
( rS(X0,sK14(X1),sK38(X0,sK14(X1)))
| ~ rcircle(X1)
| ~ rpoint(sK14(X1))
| rintersect(sK37(X1),X1)
| ~ rpoint(X0)
| ~ ron(X0,X1)
| ~ rcircle(X1) )
| ~ spl57_31
| ~ spl57_210 ),
inference(resolution,[],[f4223,f1779]) ).
fof(f1779,plain,
( ! [X1] :
( rinside(sK14(X1),X1)
| ~ rcircle(X1) )
| ~ spl57_31 ),
inference(avatar_component_clause,[],[f1778]) ).
fof(f4223,plain,
( ! [X6,X7,X5] :
( ~ rinside(X6,X7)
| rS(X5,X6,sK38(X5,X6))
| ~ rcircle(X7)
| ~ rpoint(X6)
| rintersect(sK37(X7),X7)
| ~ rpoint(X5)
| ~ ron(X5,X7) )
| ~ spl57_210 ),
inference(avatar_component_clause,[],[f4222]) ).
fof(f15987,plain,
( spl57_603
| ~ spl57_76
| ~ spl57_200 ),
inference(avatar_split_clause,[],[f3718,f3683,f2003,f15985]) ).
fof(f15985,plain,
( spl57_603
<=> ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_603])]) ).
fof(f2003,plain,
( spl57_76
<=> ! [X4,X3] :
( rcircle(sK11(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_76])]) ).
fof(f3683,plain,
( spl57_200
<=> ! [X8] : ~ rcircle(X8) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_200])]) ).
fof(f3718,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1 )
| ~ spl57_76
| ~ spl57_200 ),
inference(resolution,[],[f3684,f2004]) ).
fof(f2004,plain,
( ! [X3,X4] :
( rcircle(sK11(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 = X4 )
| ~ spl57_76 ),
inference(avatar_component_clause,[],[f2003]) ).
fof(f3684,plain,
( ! [X8] : ~ rcircle(X8)
| ~ spl57_200 ),
inference(avatar_component_clause,[],[f3683]) ).
fof(f15983,plain,
( spl57_602
| ~ spl57_31
| ~ spl57_202 ),
inference(avatar_split_clause,[],[f4220,f3714,f1778,f15981]) ).
fof(f15981,plain,
( spl57_602
<=> ! [X0,X1] :
( rS(sK14(X0),X1,sK38(sK14(X0),X1))
| ~ rcircle(X0)
| ~ rpoint(X1)
| ~ ron(X1,X0)
| ~ rpoint(sK14(X0))
| rintersect(sK37(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_602])]) ).
fof(f3714,plain,
( spl57_202
<=> ! [X6,X5,X7] :
( rintersect(sK37(X7),X7)
| rS(X5,X6,sK38(X5,X6))
| ~ rcircle(X7)
| ~ rpoint(X6)
| ~ ron(X6,X7)
| ~ rpoint(X5)
| ~ rinside(X5,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_202])]) ).
fof(f4220,plain,
( ! [X0,X1] :
( rS(sK14(X0),X1,sK38(sK14(X0),X1))
| ~ rcircle(X0)
| ~ rpoint(X1)
| ~ ron(X1,X0)
| ~ rpoint(sK14(X0))
| rintersect(sK37(X0),X0) )
| ~ spl57_31
| ~ spl57_202 ),
inference(duplicate_literal_removal,[],[f4219]) ).
fof(f4219,plain,
( ! [X0,X1] :
( rS(sK14(X0),X1,sK38(sK14(X0),X1))
| ~ rcircle(X0)
| ~ rpoint(X1)
| ~ ron(X1,X0)
| ~ rpoint(sK14(X0))
| rintersect(sK37(X0),X0)
| ~ rcircle(X0) )
| ~ spl57_31
| ~ spl57_202 ),
inference(resolution,[],[f3715,f1779]) ).
fof(f3715,plain,
( ! [X6,X7,X5] :
( ~ rinside(X5,X7)
| rS(X5,X6,sK38(X5,X6))
| ~ rcircle(X7)
| ~ rpoint(X6)
| ~ ron(X6,X7)
| ~ rpoint(X5)
| rintersect(sK37(X7),X7) )
| ~ spl57_202 ),
inference(avatar_component_clause,[],[f3714]) ).
fof(f15966,plain,
( spl57_601
| ~ spl57_31
| ~ spl57_201 ),
inference(avatar_split_clause,[],[f3712,f3686,f1778,f15964]) ).
fof(f15964,plain,
( spl57_601
<=> ! [X0,X1] :
( rS(X0,sK14(X1),sK38(X0,sK14(X1)))
| ~ rcircle(X1)
| ~ rpoint(sK14(X1))
| rintersect(sK37(X1),X1)
| ~ rpoint(X0)
| ~ rinside(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_601])]) ).
fof(f3686,plain,
( spl57_201
<=> ! [X6,X5,X7] :
( rintersect(sK37(X7),X7)
| rS(X5,X6,sK38(X5,X6))
| ~ rcircle(X7)
| ~ rpoint(X6)
| ~ rinside(X6,X7)
| ~ rpoint(X5)
| ~ rinside(X5,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_201])]) ).
fof(f3712,plain,
( ! [X0,X1] :
( rS(X0,sK14(X1),sK38(X0,sK14(X1)))
| ~ rcircle(X1)
| ~ rpoint(sK14(X1))
| rintersect(sK37(X1),X1)
| ~ rpoint(X0)
| ~ rinside(X0,X1) )
| ~ spl57_31
| ~ spl57_201 ),
inference(duplicate_literal_removal,[],[f3711]) ).
fof(f3711,plain,
( ! [X0,X1] :
( rS(X0,sK14(X1),sK38(X0,sK14(X1)))
| ~ rcircle(X1)
| ~ rpoint(sK14(X1))
| rintersect(sK37(X1),X1)
| ~ rpoint(X0)
| ~ rinside(X0,X1)
| ~ rcircle(X1) )
| ~ spl57_31
| ~ spl57_201 ),
inference(resolution,[],[f3687,f1779]) ).
fof(f3687,plain,
( ! [X6,X7,X5] :
( ~ rinside(X6,X7)
| rS(X5,X6,sK38(X5,X6))
| ~ rcircle(X7)
| ~ rpoint(X6)
| rintersect(sK37(X7),X7)
| ~ rpoint(X5)
| ~ rinside(X5,X7) )
| ~ spl57_201 ),
inference(avatar_component_clause,[],[f3686]) ).
fof(f15962,plain,
( spl57_600
| ~ spl57_32
| ~ spl57_186 ),
inference(avatar_split_clause,[],[f3088,f3041,f1782,f15960]) ).
fof(f15960,plain,
( spl57_600
<=> ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK15(X0))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| rpoint(sK40(X0,X1,X2))
| ~ rcircle(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_600])]) ).
fof(f1782,plain,
( spl57_32
<=> ! [X1] :
( ron(sK15(X1),X1)
| ~ rcircle(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_32])]) ).
fof(f3088,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK15(X0))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| rpoint(sK40(X0,X1,X2))
| ~ rcircle(X0) )
| ~ spl57_32
| ~ spl57_186 ),
inference(resolution,[],[f3042,f1783]) ).
fof(f1783,plain,
( ! [X1] :
( ron(sK15(X1),X1)
| ~ rcircle(X1) )
| ~ spl57_32 ),
inference(avatar_component_clause,[],[f1782]) ).
fof(f15958,plain,
( spl57_599
| ~ spl57_32
| ~ spl57_182 ),
inference(avatar_split_clause,[],[f2994,f2869,f1782,f15956]) ).
fof(f15956,plain,
( spl57_599
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK15(X1))
| ~ rline(X2)
| rS(X0,sK15(X1),X2)
| ~ rline(X1)
| ~ ron(X0,X1)
| rintersect(X2,X1)
| ~ rcircle(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_599])]) ).
fof(f2994,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK15(X1))
| ~ rline(X2)
| rS(X0,sK15(X1),X2)
| ~ rline(X1)
| ~ ron(X0,X1)
| rintersect(X2,X1)
| ~ rcircle(X1) )
| ~ spl57_32
| ~ spl57_182 ),
inference(resolution,[],[f2870,f1783]) ).
fof(f15954,plain,
( spl57_598
| ~ spl57_33
| ~ spl57_177 ),
inference(avatar_split_clause,[],[f2989,f2840,f1786,f15952]) ).
fof(f15952,plain,
( spl57_598
<=> ! [X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK16(X0))
| ~ ron(X1,X0)
| rR(sK25(X1,sK16(X0)),X1,sK16(X0))
| sK16(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_598])]) ).
fof(f1786,plain,
( spl57_33
<=> ! [X1] :
( ron(sK16(X1),X1)
| ~ rline(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_33])]) ).
fof(f2840,plain,
( spl57_177
<=> ! [X6,X5,X1] :
( rR(sK25(X5,X6),X5,X6)
| ~ rline(X1)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ ron(X5,X1)
| ~ ron(X6,X1)
| X5 = X6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_177])]) ).
fof(f2989,plain,
( ! [X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK16(X0))
| ~ ron(X1,X0)
| rR(sK25(X1,sK16(X0)),X1,sK16(X0))
| sK16(X0) = X1 )
| ~ spl57_33
| ~ spl57_177 ),
inference(duplicate_literal_removal,[],[f2953]) ).
fof(f2953,plain,
( ! [X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK16(X0))
| ~ ron(X1,X0)
| rR(sK25(X1,sK16(X0)),X1,sK16(X0))
| sK16(X0) = X1
| ~ rline(X0) )
| ~ spl57_33
| ~ spl57_177 ),
inference(resolution,[],[f2841,f1787]) ).
fof(f1787,plain,
( ! [X1] :
( ron(sK16(X1),X1)
| ~ rline(X1) )
| ~ spl57_33 ),
inference(avatar_component_clause,[],[f1786]) ).
fof(f2841,plain,
( ! [X1,X6,X5] :
( ~ ron(X6,X1)
| ~ rline(X1)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ ron(X5,X1)
| rR(sK25(X5,X6),X5,X6)
| X5 = X6 )
| ~ spl57_177 ),
inference(avatar_component_clause,[],[f2840]) ).
fof(f15950,plain,
( spl57_597
| ~ spl57_33
| ~ spl57_176 ),
inference(avatar_split_clause,[],[f2951,f2836,f1786,f15948]) ).
fof(f15948,plain,
( spl57_597
<=> ! [X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK16(X0))
| ~ ron(X1,X0)
| rR(sK16(X0),X1,sK24(X1,sK16(X0)))
| sK16(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_597])]) ).
fof(f2836,plain,
( spl57_176
<=> ! [X6,X5,X1] :
( rR(X6,X5,sK24(X5,X6))
| ~ rline(X1)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ ron(X5,X1)
| ~ ron(X6,X1)
| X5 = X6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_176])]) ).
fof(f2951,plain,
( ! [X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK16(X0))
| ~ ron(X1,X0)
| rR(sK16(X0),X1,sK24(X1,sK16(X0)))
| sK16(X0) = X1 )
| ~ spl57_33
| ~ spl57_176 ),
inference(duplicate_literal_removal,[],[f2915]) ).
fof(f2915,plain,
( ! [X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK16(X0))
| ~ ron(X1,X0)
| rR(sK16(X0),X1,sK24(X1,sK16(X0)))
| sK16(X0) = X1
| ~ rline(X0) )
| ~ spl57_33
| ~ spl57_176 ),
inference(resolution,[],[f2837,f1787]) ).
fof(f2837,plain,
( ! [X1,X6,X5] :
( ~ ron(X6,X1)
| ~ rline(X1)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ ron(X5,X1)
| rR(X6,X5,sK24(X5,X6))
| X5 = X6 )
| ~ spl57_176 ),
inference(avatar_component_clause,[],[f2836]) ).
fof(f15946,plain,
( spl57_596
| ~ spl57_122
| ~ spl57_129 ),
inference(avatar_split_clause,[],[f2334,f2308,f2280,f15944]) ).
fof(f15944,plain,
( spl57_596
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(sK52(X0,X1,X2,X3))
| ~ rpoint(X1)
| ~ rline(X0)
| ~ ron(sK52(X0,X1,X2,X3),X0)
| ~ sP3(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_596])]) ).
fof(f2334,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(sK52(X0,X1,X2,X3))
| ~ rpoint(X1)
| ~ rline(X0)
| ~ ron(sK52(X0,X1,X2,X3),X0)
| ~ sP3(X0,X1,X2,X3) )
| ~ spl57_122
| ~ spl57_129 ),
inference(resolution,[],[f2309,f2281]) ).
fof(f15942,plain,
( spl57_595
| ~ spl57_75
| ~ spl57_80 ),
inference(avatar_split_clause,[],[f2114,f2020,f1999,f15940]) ).
fof(f15940,plain,
( spl57_595
<=> ! [X4,X0,X3,X2,X1] :
( ~ rpoint(X0)
| vf(X0,sK52(X1,X2,X3,X4)) = sK21(X0,sK52(X1,X2,X3,X4))
| ~ sP3(X1,X2,X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_595])]) ).
fof(f2114,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ rpoint(X0)
| vf(X0,sK52(X1,X2,X3,X4)) = sK21(X0,sK52(X1,X2,X3,X4))
| ~ sP3(X1,X2,X3,X4) )
| ~ spl57_75
| ~ spl57_80 ),
inference(resolution,[],[f2021,f2000]) ).
fof(f15938,plain,
( spl57_594
| ~ spl57_74
| ~ spl57_80 ),
inference(avatar_split_clause,[],[f2113,f2020,f1995,f15936]) ).
fof(f15936,plain,
( spl57_594
<=> ! [X4,X0,X3,X2,X1] :
( ~ rpoint(X0)
| vf(X0,sK39(X1,X2,X3,X4)) = sK21(X0,sK39(X1,X2,X3,X4))
| ~ sP2(X1,X2,X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_594])]) ).
fof(f2113,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ rpoint(X0)
| vf(X0,sK39(X1,X2,X3,X4)) = sK21(X0,sK39(X1,X2,X3,X4))
| ~ sP2(X1,X2,X3,X4) )
| ~ spl57_74
| ~ spl57_80 ),
inference(resolution,[],[f2021,f1996]) ).
fof(f15934,plain,
( spl57_593
| ~ spl57_75
| ~ spl57_79 ),
inference(avatar_split_clause,[],[f2096,f2016,f1999,f15932]) ).
fof(f15932,plain,
( spl57_593
<=> ! [X4,X0,X3,X2,X1] :
( ~ rpoint(X0)
| vf(sK52(X1,X2,X3,X4),X0) = vf(X0,sK52(X1,X2,X3,X4))
| ~ sP3(X1,X2,X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_593])]) ).
fof(f2096,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ rpoint(X0)
| vf(sK52(X1,X2,X3,X4),X0) = vf(X0,sK52(X1,X2,X3,X4))
| ~ sP3(X1,X2,X3,X4) )
| ~ spl57_75
| ~ spl57_79 ),
inference(resolution,[],[f2017,f2000]) ).
fof(f15930,plain,
( spl57_592
| ~ spl57_74
| ~ spl57_79 ),
inference(avatar_split_clause,[],[f2095,f2016,f1995,f15928]) ).
fof(f15928,plain,
( spl57_592
<=> ! [X4,X0,X3,X2,X1] :
( ~ rpoint(X0)
| vf(sK39(X1,X2,X3,X4),X0) = vf(X0,sK39(X1,X2,X3,X4))
| ~ sP2(X1,X2,X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_592])]) ).
fof(f2095,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ rpoint(X0)
| vf(sK39(X1,X2,X3,X4),X0) = vf(X0,sK39(X1,X2,X3,X4))
| ~ sP2(X1,X2,X3,X4) )
| ~ spl57_74
| ~ spl57_79 ),
inference(resolution,[],[f2017,f1996]) ).
fof(f15926,plain,
( spl57_591
| ~ spl57_337
| ~ spl57_340
| ~ spl57_475 ),
inference(avatar_split_clause,[],[f11943,f11939,f8520,f8508,f15923]) ).
fof(f15923,plain,
( spl57_591
<=> vf(sK8,sK16(sK5)) = sK21(sK16(sK5),sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_591])]) ).
fof(f11939,plain,
( spl57_475
<=> vf(sK8,sK16(sK5)) = vf(sK16(sK5),sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_475])]) ).
fof(f11943,plain,
( vf(sK8,sK16(sK5)) = sK21(sK16(sK5),sK8)
| ~ spl57_337
| ~ spl57_340
| ~ spl57_475 ),
inference(forward_demodulation,[],[f11941,f9134]) ).
fof(f9134,plain,
( vf(sK16(sK5),sK8) = sK21(sK16(sK5),sK8)
| ~ spl57_337
| ~ spl57_340 ),
inference(resolution,[],[f8509,f8521]) ).
fof(f11941,plain,
( vf(sK8,sK16(sK5)) = vf(sK16(sK5),sK8)
| ~ spl57_475 ),
inference(avatar_component_clause,[],[f11939]) ).
fof(f15395,plain,
( spl57_590
| ~ spl57_337
| ~ spl57_339
| ~ spl57_464 ),
inference(avatar_split_clause,[],[f11897,f11893,f8516,f8508,f15392]) ).
fof(f15392,plain,
( spl57_590
<=> vf(sK7,sK16(sK5)) = sK21(sK16(sK5),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_590])]) ).
fof(f11893,plain,
( spl57_464
<=> vf(sK7,sK16(sK5)) = vf(sK16(sK5),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_464])]) ).
fof(f11897,plain,
( vf(sK7,sK16(sK5)) = sK21(sK16(sK5),sK7)
| ~ spl57_337
| ~ spl57_339
| ~ spl57_464 ),
inference(forward_demodulation,[],[f11895,f9133]) ).
fof(f9133,plain,
( vf(sK16(sK5),sK7) = sK21(sK16(sK5),sK7)
| ~ spl57_337
| ~ spl57_339 ),
inference(resolution,[],[f8509,f8517]) ).
fof(f11895,plain,
( vf(sK7,sK16(sK5)) = vf(sK16(sK5),sK7)
| ~ spl57_464 ),
inference(avatar_component_clause,[],[f11893]) ).
fof(f15390,plain,
( spl57_589
| ~ spl57_33
| ~ spl57_187 ),
inference(avatar_split_clause,[],[f3681,f3127,f1786,f15388]) ).
fof(f15388,plain,
( spl57_589
<=> ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK16(X0))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ron(sK40(X0,X1,X2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_589])]) ).
fof(f3681,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK16(X0))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ron(sK40(X0,X1,X2),X0) )
| ~ spl57_33
| ~ spl57_187 ),
inference(duplicate_literal_removal,[],[f3645]) ).
fof(f3645,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK16(X0))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ron(sK40(X0,X1,X2),X0)
| ~ rline(X0) )
| ~ spl57_33
| ~ spl57_187 ),
inference(resolution,[],[f3128,f1787]) ).
fof(f15386,plain,
( spl57_588
| ~ spl57_32
| ~ spl57_156 ),
inference(avatar_split_clause,[],[f2685,f2624,f1782,f15384]) ).
fof(f15384,plain,
( spl57_588
<=> ! [X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK15(X0))
| ~ ron(X1,X0)
| rpoint(sK25(X1,sK15(X0)))
| sK15(X0) = X1
| ~ rcircle(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_588])]) ).
fof(f2624,plain,
( spl57_156
<=> ! [X6,X5,X1] :
( rpoint(sK25(X5,X6))
| ~ rline(X1)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ ron(X5,X1)
| ~ ron(X6,X1)
| X5 = X6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_156])]) ).
fof(f2685,plain,
( ! [X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK15(X0))
| ~ ron(X1,X0)
| rpoint(sK25(X1,sK15(X0)))
| sK15(X0) = X1
| ~ rcircle(X0) )
| ~ spl57_32
| ~ spl57_156 ),
inference(resolution,[],[f2625,f1783]) ).
fof(f2625,plain,
( ! [X1,X6,X5] :
( ~ ron(X6,X1)
| ~ rline(X1)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ ron(X5,X1)
| rpoint(sK25(X5,X6))
| X5 = X6 )
| ~ spl57_156 ),
inference(avatar_component_clause,[],[f2624]) ).
fof(f15382,plain,
( spl57_587
| ~ spl57_32
| ~ spl57_155 ),
inference(avatar_split_clause,[],[f2643,f2620,f1782,f15380]) ).
fof(f15380,plain,
( spl57_587
<=> ! [X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK15(X0))
| ~ ron(X1,X0)
| rpoint(sK24(X1,sK15(X0)))
| sK15(X0) = X1
| ~ rcircle(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_587])]) ).
fof(f2620,plain,
( spl57_155
<=> ! [X6,X5,X1] :
( rpoint(sK24(X5,X6))
| ~ rline(X1)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ ron(X5,X1)
| ~ ron(X6,X1)
| X5 = X6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_155])]) ).
fof(f2643,plain,
( ! [X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK15(X0))
| ~ ron(X1,X0)
| rpoint(sK24(X1,sK15(X0)))
| sK15(X0) = X1
| ~ rcircle(X0) )
| ~ spl57_32
| ~ spl57_155 ),
inference(resolution,[],[f2621,f1783]) ).
fof(f2621,plain,
( ! [X1,X6,X5] :
( ~ ron(X6,X1)
| ~ rline(X1)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ ron(X5,X1)
| rpoint(sK24(X5,X6))
| X5 = X6 )
| ~ spl57_155 ),
inference(avatar_component_clause,[],[f2620]) ).
fof(f15378,plain,
( spl57_586
| ~ spl57_56
| ~ spl57_138 ),
inference(avatar_split_clause,[],[f2447,f2368,f1897,f15376]) ).
fof(f15376,plain,
( spl57_586
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK20(X2,X3)) = sK23(X0,X1,sK20(X2,X3))
| ~ rpoint(X2)
| ~ rpoint(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_586])]) ).
fof(f2447,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK20(X2,X3)) = sK23(X0,X1,sK20(X2,X3))
| ~ rpoint(X2)
| ~ rpoint(X3) )
| ~ spl57_56
| ~ spl57_138 ),
inference(resolution,[],[f2369,f1898]) ).
fof(f15374,plain,
( spl57_585
| ~ spl57_56
| ~ spl57_137 ),
inference(avatar_split_clause,[],[f2420,f2364,f1897,f15372]) ).
fof(f15372,plain,
( spl57_585
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK20(X2,X3)) = vg(X0,sK20(X2,X3),X1)
| ~ rpoint(X2)
| ~ rpoint(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_585])]) ).
fof(f2420,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK20(X2,X3)) = vg(X0,sK20(X2,X3),X1)
| ~ rpoint(X2)
| ~ rpoint(X3) )
| ~ spl57_56
| ~ spl57_137 ),
inference(resolution,[],[f2365,f1898]) ).
fof(f15370,plain,
( spl57_584
| ~ spl57_56
| ~ spl57_135 ),
inference(avatar_split_clause,[],[f2393,f2356,f1897,f15368]) ).
fof(f15368,plain,
( spl57_584
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK20(X2,X3)) = vg(sK20(X2,X3),X0,X1)
| ~ rpoint(X2)
| ~ rpoint(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_584])]) ).
fof(f2393,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK20(X2,X3)) = vg(sK20(X2,X3),X0,X1)
| ~ rpoint(X2)
| ~ rpoint(X3) )
| ~ spl57_56
| ~ spl57_135 ),
inference(resolution,[],[f2357,f1898]) ).
fof(f15366,plain,
( spl57_583
| ~ spl57_82
| ~ spl57_85 ),
inference(avatar_split_clause,[],[f2126,f2040,f2028,f15364]) ).
fof(f15364,plain,
( spl57_583
<=> ! [X0,X3,X2,X1] :
( ~ rreal(X0)
| vplus(X0,sK23(X1,X2,X3)) = sK26(X0,sK23(X1,X2,X3))
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_583])]) ).
fof(f2028,plain,
( spl57_82
<=> ! [X6,X4,X5] :
( rreal(sK23(X4,X5,X6))
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_82])]) ).
fof(f2040,plain,
( spl57_85
<=> ! [X1,X3] :
( vplus(X1,X3) = sK26(X1,X3)
| ~ rreal(X1)
| ~ rreal(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_85])]) ).
fof(f2126,plain,
( ! [X2,X3,X0,X1] :
( ~ rreal(X0)
| vplus(X0,sK23(X1,X2,X3)) = sK26(X0,sK23(X1,X2,X3))
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3) )
| ~ spl57_82
| ~ spl57_85 ),
inference(resolution,[],[f2041,f2029]) ).
fof(f2029,plain,
( ! [X6,X4,X5] :
( rreal(sK23(X4,X5,X6))
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6) )
| ~ spl57_82 ),
inference(avatar_component_clause,[],[f2028]) ).
fof(f2041,plain,
( ! [X3,X1] :
( ~ rreal(X3)
| ~ rreal(X1)
| vplus(X1,X3) = sK26(X1,X3) )
| ~ spl57_85 ),
inference(avatar_component_clause,[],[f2040]) ).
fof(f15362,plain,
( spl57_582
| ~ spl57_82
| ~ spl57_84 ),
inference(avatar_split_clause,[],[f2122,f2036,f2028,f15360]) ).
fof(f15360,plain,
( spl57_582
<=> ! [X0,X3,X2,X1] :
( ~ rreal(X0)
| vplus(X0,sK23(X1,X2,X3)) = vplus(sK23(X1,X2,X3),X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_582])]) ).
fof(f2036,plain,
( spl57_84
<=> ! [X1,X3] :
( vplus(X1,X3) = vplus(X3,X1)
| ~ rreal(X1)
| ~ rreal(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_84])]) ).
fof(f2122,plain,
( ! [X2,X3,X0,X1] :
( ~ rreal(X0)
| vplus(X0,sK23(X1,X2,X3)) = vplus(sK23(X1,X2,X3),X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3) )
| ~ spl57_82
| ~ spl57_84 ),
inference(resolution,[],[f2037,f2029]) ).
fof(f2037,plain,
( ! [X3,X1] :
( ~ rreal(X3)
| ~ rreal(X1)
| vplus(X1,X3) = vplus(X3,X1) )
| ~ spl57_84 ),
inference(avatar_component_clause,[],[f2036]) ).
fof(f15358,plain,
( spl57_581
| ~ spl57_79
| ~ spl57_81 ),
inference(avatar_split_clause,[],[f2116,f2024,f2016,f15356]) ).
fof(f15356,plain,
( spl57_581
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| vf(X3,sK22(X0,X1,X2)) = vf(sK22(X0,X1,X2),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_581])]) ).
fof(f2116,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| vf(X3,sK22(X0,X1,X2)) = vf(sK22(X0,X1,X2),X3) )
| ~ spl57_79
| ~ spl57_81 ),
inference(resolution,[],[f2025,f2017]) ).
fof(f15354,plain,
( spl57_580
| ~ spl57_80
| ~ spl57_81 ),
inference(avatar_split_clause,[],[f2115,f2024,f2020,f15352]) ).
fof(f15352,plain,
( spl57_580
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| vf(X3,sK22(X0,X1,X2)) = sK21(X3,sK22(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_580])]) ).
fof(f2115,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| vf(X3,sK22(X0,X1,X2)) = sK21(X3,sK22(X0,X1,X2)) )
| ~ spl57_80
| ~ spl57_81 ),
inference(resolution,[],[f2025,f2021]) ).
fof(f15350,plain,
( spl57_579
| ~ spl57_336
| ~ spl57_337
| ~ spl57_453 ),
inference(avatar_split_clause,[],[f11851,f11847,f8508,f8504,f15347]) ).
fof(f15347,plain,
( spl57_579
<=> vf(sK6,sK16(sK5)) = sK21(sK16(sK5),sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_579])]) ).
fof(f11847,plain,
( spl57_453
<=> vf(sK6,sK16(sK5)) = vf(sK16(sK5),sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_453])]) ).
fof(f11851,plain,
( vf(sK6,sK16(sK5)) = sK21(sK16(sK5),sK6)
| ~ spl57_336
| ~ spl57_337
| ~ spl57_453 ),
inference(forward_demodulation,[],[f11849,f9132]) ).
fof(f9132,plain,
( vf(sK16(sK5),sK6) = sK21(sK16(sK5),sK6)
| ~ spl57_336
| ~ spl57_337 ),
inference(resolution,[],[f8509,f8505]) ).
fof(f11849,plain,
( vf(sK6,sK16(sK5)) = vf(sK16(sK5),sK6)
| ~ spl57_453 ),
inference(avatar_component_clause,[],[f11847]) ).
fof(f14950,plain,
( spl57_578
| ~ spl57_335
| ~ spl57_337
| ~ spl57_442 ),
inference(avatar_split_clause,[],[f11805,f11801,f8508,f8500,f14947]) ).
fof(f14947,plain,
( spl57_578
<=> vf(vd14,sK16(sK5)) = sK21(sK16(sK5),vd14) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_578])]) ).
fof(f11801,plain,
( spl57_442
<=> vf(vd14,sK16(sK5)) = vf(sK16(sK5),vd14) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_442])]) ).
fof(f11805,plain,
( vf(vd14,sK16(sK5)) = sK21(sK16(sK5),vd14)
| ~ spl57_335
| ~ spl57_337
| ~ spl57_442 ),
inference(forward_demodulation,[],[f11803,f9131]) ).
fof(f9131,plain,
( vf(sK16(sK5),vd14) = sK21(sK16(sK5),vd14)
| ~ spl57_335
| ~ spl57_337 ),
inference(resolution,[],[f8509,f8501]) ).
fof(f11803,plain,
( vf(vd14,sK16(sK5)) = vf(sK16(sK5),vd14)
| ~ spl57_442 ),
inference(avatar_component_clause,[],[f11801]) ).
fof(f14943,plain,
( spl57_577
| ~ spl57_334
| ~ spl57_337
| ~ spl57_439 ),
inference(avatar_split_clause,[],[f11393,f11389,f8508,f8496,f14940]) ).
fof(f14940,plain,
( spl57_577
<=> vf(vd1409,sK16(sK5)) = sK21(sK16(sK5),vd1409) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_577])]) ).
fof(f11389,plain,
( spl57_439
<=> vf(vd1409,sK16(sK5)) = vf(sK16(sK5),vd1409) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_439])]) ).
fof(f11393,plain,
( vf(vd1409,sK16(sK5)) = sK21(sK16(sK5),vd1409)
| ~ spl57_334
| ~ spl57_337
| ~ spl57_439 ),
inference(forward_demodulation,[],[f11391,f9130]) ).
fof(f9130,plain,
( vf(sK16(sK5),vd1409) = sK21(sK16(sK5),vd1409)
| ~ spl57_334
| ~ spl57_337 ),
inference(resolution,[],[f8509,f8497]) ).
fof(f11391,plain,
( vf(vd1409,sK16(sK5)) = vf(sK16(sK5),vd1409)
| ~ spl57_439 ),
inference(avatar_component_clause,[],[f11389]) ).
fof(f14399,plain,
( ~ spl57_11
| spl57_576
| ~ spl57_8
| ~ spl57_17
| ~ spl57_187 ),
inference(avatar_split_clause,[],[f3666,f3127,f1717,f1672,f14397,f1687]) ).
fof(f14397,plain,
( spl57_576
<=> ! [X0,X1] :
( ~ rpoint(X0)
| ron(sK40(vd1407,X0,X1),vd1407)
| ~ ron(X0,vd1407)
| ~ rpoint(X1)
| ~ ron(X1,vd1407) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_576])]) ).
fof(f3666,plain,
( ! [X0,X1] :
( ~ rline(vd1407)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(sK6)
| ~ ron(X0,vd1407)
| ~ ron(X1,vd1407)
| ron(sK40(vd1407,X0,X1),vd1407) )
| ~ spl57_17
| ~ spl57_187 ),
inference(resolution,[],[f3128,f1719]) ).
fof(f14372,plain,
( ~ spl57_9
| spl57_575
| ~ spl57_12
| ~ spl57_19
| ~ spl57_187 ),
inference(avatar_split_clause,[],[f3664,f3127,f1727,f1692,f14370,f1677]) ).
fof(f14370,plain,
( spl57_575
<=> ! [X0,X1] :
( ~ rpoint(X0)
| ron(sK40(vd1416,X0,X1),vd1416)
| ~ ron(X0,vd1416)
| ~ rpoint(X1)
| ~ ron(X1,vd1416) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_575])]) ).
fof(f3664,plain,
( ! [X0,X1] :
( ~ rline(vd1416)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(sK8)
| ~ ron(X0,vd1416)
| ~ ron(X1,vd1416)
| ron(sK40(vd1416,X0,X1),vd1416) )
| ~ spl57_19
| ~ spl57_187 ),
inference(resolution,[],[f3128,f1729]) ).
fof(f14368,plain,
( spl57_574
| ~ spl57_33
| ~ spl57_186 ),
inference(avatar_split_clause,[],[f3125,f3041,f1786,f14366]) ).
fof(f14366,plain,
( spl57_574
<=> ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK16(X0))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| rpoint(sK40(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_574])]) ).
fof(f3125,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK16(X0))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| rpoint(sK40(X0,X1,X2)) )
| ~ spl57_33
| ~ spl57_186 ),
inference(duplicate_literal_removal,[],[f3089]) ).
fof(f3089,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK16(X0))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| rpoint(sK40(X0,X1,X2))
| ~ rline(X0) )
| ~ spl57_33
| ~ spl57_186 ),
inference(resolution,[],[f3042,f1787]) ).
fof(f14364,plain,
( spl57_573
| ~ spl57_9
| ~ spl57_184 ),
inference(avatar_split_clause,[],[f3050,f3033,f1677,f14362]) ).
fof(f14362,plain,
( spl57_573
<=> ! [X0] :
( ~ rpoint(X0)
| vf(sK8,vskolem1052(X0,X0,sK8,sK8)) = vf(vskolem1052(X0,X0,sK8,sK8),X0)
| sK8 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_573])]) ).
fof(f3050,plain,
( ! [X0] :
( ~ rpoint(X0)
| vf(sK8,vskolem1052(X0,X0,sK8,sK8)) = vf(vskolem1052(X0,X0,sK8,sK8),X0)
| sK8 = X0 )
| ~ spl57_9
| ~ spl57_184 ),
inference(resolution,[],[f3034,f1679]) ).
fof(f14360,plain,
( spl57_572
| ~ spl57_10
| ~ spl57_184 ),
inference(avatar_split_clause,[],[f3049,f3033,f1682,f14358]) ).
fof(f14358,plain,
( spl57_572
<=> ! [X0] :
( ~ rpoint(X0)
| vf(sK7,vskolem1052(X0,X0,sK7,sK7)) = vf(vskolem1052(X0,X0,sK7,sK7),X0)
| sK7 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_572])]) ).
fof(f3049,plain,
( ! [X0] :
( ~ rpoint(X0)
| vf(sK7,vskolem1052(X0,X0,sK7,sK7)) = vf(vskolem1052(X0,X0,sK7,sK7),X0)
| sK7 = X0 )
| ~ spl57_10
| ~ spl57_184 ),
inference(resolution,[],[f3034,f1684]) ).
fof(f14356,plain,
( spl57_571
| ~ spl57_11
| ~ spl57_184 ),
inference(avatar_split_clause,[],[f3048,f3033,f1687,f14354]) ).
fof(f14354,plain,
( spl57_571
<=> ! [X0] :
( ~ rpoint(X0)
| vf(sK6,vskolem1052(X0,X0,sK6,sK6)) = vf(vskolem1052(X0,X0,sK6,sK6),X0)
| sK6 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_571])]) ).
fof(f3048,plain,
( ! [X0] :
( ~ rpoint(X0)
| vf(sK6,vskolem1052(X0,X0,sK6,sK6)) = vf(vskolem1052(X0,X0,sK6,sK6),X0)
| sK6 = X0 )
| ~ spl57_11
| ~ spl57_184 ),
inference(resolution,[],[f3034,f1689]) ).
fof(f14352,plain,
( spl57_570
| ~ spl57_6
| ~ spl57_184 ),
inference(avatar_split_clause,[],[f3047,f3033,f1662,f14350]) ).
fof(f14350,plain,
( spl57_570
<=> ! [X0] :
( ~ rpoint(X0)
| vf(vd14,vskolem1052(X0,X0,vd14,vd14)) = vf(vskolem1052(X0,X0,vd14,vd14),X0)
| vd14 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_570])]) ).
fof(f3047,plain,
( ! [X0] :
( ~ rpoint(X0)
| vf(vd14,vskolem1052(X0,X0,vd14,vd14)) = vf(vskolem1052(X0,X0,vd14,vd14),X0)
| vd14 = X0 )
| ~ spl57_6
| ~ spl57_184 ),
inference(resolution,[],[f3034,f1664]) ).
fof(f14348,plain,
( spl57_569
| ~ spl57_7
| ~ spl57_184 ),
inference(avatar_split_clause,[],[f3044,f3033,f1667,f14346]) ).
fof(f14346,plain,
( spl57_569
<=> ! [X0] :
( ~ rpoint(X0)
| vf(vd1409,vskolem1052(X0,X0,vd1409,vd1409)) = vf(vskolem1052(X0,X0,vd1409,vd1409),X0)
| vd1409 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_569])]) ).
fof(f3044,plain,
( ! [X0] :
( ~ rpoint(X0)
| vf(vd1409,vskolem1052(X0,X0,vd1409,vd1409)) = vf(vskolem1052(X0,X0,vd1409,vd1409),X0)
| vd1409 = X0 )
| ~ spl57_7
| ~ spl57_184 ),
inference(resolution,[],[f3034,f1669]) ).
fof(f14344,plain,
( spl57_568
| ~ spl57_33
| ~ spl57_182 ),
inference(avatar_split_clause,[],[f3031,f2869,f1786,f14342]) ).
fof(f14342,plain,
( spl57_568
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK16(X1))
| ~ rline(X2)
| rS(X0,sK16(X1),X2)
| ~ rline(X1)
| ~ ron(X0,X1)
| rintersect(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_568])]) ).
fof(f3031,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK16(X1))
| ~ rline(X2)
| rS(X0,sK16(X1),X2)
| ~ rline(X1)
| ~ ron(X0,X1)
| rintersect(X2,X1) )
| ~ spl57_33
| ~ spl57_182 ),
inference(duplicate_literal_removal,[],[f2995]) ).
fof(f2995,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK16(X1))
| ~ rline(X2)
| rS(X0,sK16(X1),X2)
| ~ rline(X1)
| ~ ron(X0,X1)
| rintersect(X2,X1)
| ~ rline(X1) )
| ~ spl57_33
| ~ spl57_182 ),
inference(resolution,[],[f2870,f1787]) ).
fof(f14335,plain,
( spl57_567
| ~ spl57_7
| ~ spl57_11
| ~ spl57_329
| ~ spl57_336
| ~ spl57_566 ),
inference(avatar_split_clause,[],[f14331,f14327,f8504,f8476,f1687,f1667,f14333]) ).
fof(f14333,plain,
( spl57_567
<=> ! [X0,X1] :
( vf(sK6,X0) != sK21(vd1409,sK6)
| ~ ron(sK8,X1)
| ~ rcenter(sK6,X1)
| ~ rpoint(X0)
| ron(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_567])]) ).
fof(f14327,plain,
( spl57_566
<=> ! [X0,X1] :
( vf(sK6,vd1409) != vf(sK6,X0)
| ~ ron(sK8,X1)
| ~ rcenter(sK6,X1)
| ~ rpoint(X0)
| ron(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_566])]) ).
fof(f14331,plain,
( ! [X0,X1] :
( vf(sK6,X0) != sK21(vd1409,sK6)
| ~ ron(sK8,X1)
| ~ rcenter(sK6,X1)
| ~ rpoint(X0)
| ron(X0,X1) )
| ~ spl57_7
| ~ spl57_11
| ~ spl57_329
| ~ spl57_336
| ~ spl57_566 ),
inference(forward_demodulation,[],[f14330,f8890]) ).
fof(f14330,plain,
( ! [X0,X1] :
( vf(sK6,X0) != vf(vd1409,sK6)
| ~ ron(sK8,X1)
| ~ rcenter(sK6,X1)
| ~ rpoint(X0)
| ron(X0,X1) )
| ~ spl57_11
| ~ spl57_329
| ~ spl57_566 ),
inference(forward_demodulation,[],[f14328,f8594]) ).
fof(f14328,plain,
( ! [X0,X1] :
( vf(sK6,vd1409) != vf(sK6,X0)
| ~ ron(sK8,X1)
| ~ rcenter(sK6,X1)
| ~ rpoint(X0)
| ron(X0,X1) )
| ~ spl57_566 ),
inference(avatar_component_clause,[],[f14327]) ).
fof(f14329,plain,
( ~ spl57_9
| spl57_566
| ~ spl57_42
| ~ spl57_171 ),
inference(avatar_split_clause,[],[f2819,f2770,f1823,f14327,f1677]) ).
fof(f2770,plain,
( spl57_171
<=> ! [X3,X5,X2,X1] :
( ron(X1,X3)
| vf(X2,X1) != vf(X2,X5)
| ~ rpoint(X1)
| ~ rcenter(X2,X3)
| ~ rpoint(X5)
| ~ ron(X5,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_171])]) ).
fof(f2819,plain,
( ! [X0,X1] :
( vf(sK6,vd1409) != vf(sK6,X0)
| ron(X0,X1)
| ~ rpoint(X0)
| ~ rcenter(sK6,X1)
| ~ rpoint(sK8)
| ~ ron(sK8,X1) )
| ~ spl57_42
| ~ spl57_171 ),
inference(superposition,[],[f2771,f1825]) ).
fof(f2771,plain,
( ! [X2,X3,X1,X5] :
( vf(X2,X1) != vf(X2,X5)
| ron(X1,X3)
| ~ rpoint(X1)
| ~ rcenter(X2,X3)
| ~ rpoint(X5)
| ~ ron(X5,X3) )
| ~ spl57_171 ),
inference(avatar_component_clause,[],[f2770]) ).
fof(f14323,plain,
( spl57_565
| ~ spl57_10
| ~ spl57_334
| ~ spl57_564 ),
inference(avatar_split_clause,[],[f14319,f14316,f8496,f1682,f14321]) ).
fof(f14321,plain,
( spl57_565
<=> ! [X0,X1] :
( vf(sK7,X0) != sK21(sK7,vd1409)
| ~ ron(sK8,X1)
| ~ rcenter(sK7,X1)
| ~ rpoint(X0)
| ron(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_565])]) ).
fof(f14316,plain,
( spl57_564
<=> ! [X0,X1] :
( vf(sK7,vd1409) != vf(sK7,X0)
| ~ ron(sK8,X1)
| ~ rcenter(sK7,X1)
| ~ rpoint(X0)
| ron(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_564])]) ).
fof(f14319,plain,
( ! [X0,X1] :
( vf(sK7,X0) != sK21(sK7,vd1409)
| ~ ron(sK8,X1)
| ~ rcenter(sK7,X1)
| ~ rpoint(X0)
| ron(X0,X1) )
| ~ spl57_10
| ~ spl57_334
| ~ spl57_564 ),
inference(forward_demodulation,[],[f14317,f8810]) ).
fof(f8810,plain,
( vf(sK7,vd1409) = sK21(sK7,vd1409)
| ~ spl57_10
| ~ spl57_334 ),
inference(resolution,[],[f8497,f1684]) ).
fof(f14317,plain,
( ! [X0,X1] :
( vf(sK7,vd1409) != vf(sK7,X0)
| ~ ron(sK8,X1)
| ~ rcenter(sK7,X1)
| ~ rpoint(X0)
| ron(X0,X1) )
| ~ spl57_564 ),
inference(avatar_component_clause,[],[f14316]) ).
fof(f14318,plain,
( ~ spl57_9
| spl57_564
| ~ spl57_41
| ~ spl57_171 ),
inference(avatar_split_clause,[],[f2818,f2770,f1818,f14316,f1677]) ).
fof(f1818,plain,
( spl57_41
<=> vf(sK7,sK8) = vf(sK7,vd1409) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_41])]) ).
fof(f2818,plain,
( ! [X0,X1] :
( vf(sK7,vd1409) != vf(sK7,X0)
| ron(X0,X1)
| ~ rpoint(X0)
| ~ rcenter(sK7,X1)
| ~ rpoint(sK8)
| ~ ron(sK8,X1) )
| ~ spl57_41
| ~ spl57_171 ),
inference(superposition,[],[f2771,f1820]) ).
fof(f1820,plain,
( vf(sK7,sK8) = vf(sK7,vd1409)
| ~ spl57_41 ),
inference(avatar_component_clause,[],[f1818]) ).
fof(f14312,plain,
( spl57_563
| ~ spl57_7
| ~ spl57_11
| ~ spl57_329
| ~ spl57_336
| ~ spl57_562 ),
inference(avatar_split_clause,[],[f14308,f14304,f8504,f8476,f1687,f1667,f14310]) ).
fof(f14310,plain,
( spl57_563
<=> ! [X0,X1] :
( vf(sK6,X0) != sK21(vd1409,sK6)
| ~ ron(X0,X1)
| ~ rpoint(X0)
| ron(sK8,X1)
| ~ rcenter(sK6,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_563])]) ).
fof(f14304,plain,
( spl57_562
<=> ! [X0,X1] :
( vf(sK6,vd1409) != vf(sK6,X0)
| ~ ron(X0,X1)
| ~ rpoint(X0)
| ron(sK8,X1)
| ~ rcenter(sK6,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_562])]) ).
fof(f14308,plain,
( ! [X0,X1] :
( vf(sK6,X0) != sK21(vd1409,sK6)
| ~ ron(X0,X1)
| ~ rpoint(X0)
| ron(sK8,X1)
| ~ rcenter(sK6,X1) )
| ~ spl57_7
| ~ spl57_11
| ~ spl57_329
| ~ spl57_336
| ~ spl57_562 ),
inference(forward_demodulation,[],[f14307,f8890]) ).
fof(f14307,plain,
( ! [X0,X1] :
( vf(sK6,X0) != vf(vd1409,sK6)
| ~ ron(X0,X1)
| ~ rpoint(X0)
| ron(sK8,X1)
| ~ rcenter(sK6,X1) )
| ~ spl57_11
| ~ spl57_329
| ~ spl57_562 ),
inference(forward_demodulation,[],[f14305,f8594]) ).
fof(f14305,plain,
( ! [X0,X1] :
( vf(sK6,vd1409) != vf(sK6,X0)
| ~ ron(X0,X1)
| ~ rpoint(X0)
| ron(sK8,X1)
| ~ rcenter(sK6,X1) )
| ~ spl57_562 ),
inference(avatar_component_clause,[],[f14304]) ).
fof(f14306,plain,
( ~ spl57_9
| spl57_562
| ~ spl57_42
| ~ spl57_171 ),
inference(avatar_split_clause,[],[f2812,f2770,f1823,f14304,f1677]) ).
fof(f2812,plain,
( ! [X0,X1] :
( vf(sK6,vd1409) != vf(sK6,X0)
| ron(sK8,X1)
| ~ rpoint(sK8)
| ~ rcenter(sK6,X1)
| ~ rpoint(X0)
| ~ ron(X0,X1) )
| ~ spl57_42
| ~ spl57_171 ),
inference(superposition,[],[f2771,f1825]) ).
fof(f14300,plain,
( spl57_561
| ~ spl57_10
| ~ spl57_334
| ~ spl57_560 ),
inference(avatar_split_clause,[],[f14293,f14290,f8496,f1682,f14298]) ).
fof(f14298,plain,
( spl57_561
<=> ! [X0,X1] :
( vf(sK7,X0) != sK21(sK7,vd1409)
| ~ ron(X0,X1)
| ~ rpoint(X0)
| ron(sK8,X1)
| ~ rcenter(sK7,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_561])]) ).
fof(f14290,plain,
( spl57_560
<=> ! [X0,X1] :
( vf(sK7,vd1409) != vf(sK7,X0)
| ~ ron(X0,X1)
| ~ rpoint(X0)
| ron(sK8,X1)
| ~ rcenter(sK7,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_560])]) ).
fof(f14293,plain,
( ! [X0,X1] :
( vf(sK7,X0) != sK21(sK7,vd1409)
| ~ ron(X0,X1)
| ~ rpoint(X0)
| ron(sK8,X1)
| ~ rcenter(sK7,X1) )
| ~ spl57_10
| ~ spl57_334
| ~ spl57_560 ),
inference(forward_demodulation,[],[f14291,f8810]) ).
fof(f14291,plain,
( ! [X0,X1] :
( vf(sK7,vd1409) != vf(sK7,X0)
| ~ ron(X0,X1)
| ~ rpoint(X0)
| ron(sK8,X1)
| ~ rcenter(sK7,X1) )
| ~ spl57_560 ),
inference(avatar_component_clause,[],[f14290]) ).
fof(f14292,plain,
( ~ spl57_9
| spl57_560
| ~ spl57_41
| ~ spl57_171 ),
inference(avatar_split_clause,[],[f2811,f2770,f1818,f14290,f1677]) ).
fof(f2811,plain,
( ! [X0,X1] :
( vf(sK7,vd1409) != vf(sK7,X0)
| ron(sK8,X1)
| ~ rpoint(sK8)
| ~ rcenter(sK7,X1)
| ~ rpoint(X0)
| ~ ron(X0,X1) )
| ~ spl57_41
| ~ spl57_171 ),
inference(superposition,[],[f2771,f1820]) ).
fof(f14282,plain,
( spl57_559
| ~ spl57_7
| ~ spl57_11
| ~ spl57_329
| ~ spl57_336
| ~ spl57_558 ),
inference(avatar_split_clause,[],[f14278,f14274,f8504,f8476,f1687,f1667,f14280]) ).
fof(f14280,plain,
( spl57_559
<=> ! [X0,X1] :
( ~ rless(vf(sK6,X0),sK21(vd1409,sK6))
| ~ ron(sK8,X1)
| ~ rcenter(sK6,X1)
| ~ rpoint(X0)
| rinside(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_559])]) ).
fof(f14274,plain,
( spl57_558
<=> ! [X0,X1] :
( ~ rless(vf(sK6,X0),vf(sK6,vd1409))
| ~ ron(sK8,X1)
| ~ rcenter(sK6,X1)
| ~ rpoint(X0)
| rinside(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_558])]) ).
fof(f14278,plain,
( ! [X0,X1] :
( ~ rless(vf(sK6,X0),sK21(vd1409,sK6))
| ~ ron(sK8,X1)
| ~ rcenter(sK6,X1)
| ~ rpoint(X0)
| rinside(X0,X1) )
| ~ spl57_7
| ~ spl57_11
| ~ spl57_329
| ~ spl57_336
| ~ spl57_558 ),
inference(forward_demodulation,[],[f14277,f8890]) ).
fof(f14277,plain,
( ! [X0,X1] :
( ~ rless(vf(sK6,X0),vf(vd1409,sK6))
| ~ ron(sK8,X1)
| ~ rcenter(sK6,X1)
| ~ rpoint(X0)
| rinside(X0,X1) )
| ~ spl57_11
| ~ spl57_329
| ~ spl57_558 ),
inference(forward_demodulation,[],[f14275,f8594]) ).
fof(f14275,plain,
( ! [X0,X1] :
( ~ rless(vf(sK6,X0),vf(sK6,vd1409))
| ~ ron(sK8,X1)
| ~ rcenter(sK6,X1)
| ~ rpoint(X0)
| rinside(X0,X1) )
| ~ spl57_558 ),
inference(avatar_component_clause,[],[f14274]) ).
fof(f14276,plain,
( ~ spl57_9
| spl57_558
| ~ spl57_42
| ~ spl57_163 ),
inference(avatar_split_clause,[],[f2788,f2729,f1823,f14274,f1677]) ).
fof(f2729,plain,
( spl57_163
<=> ! [X3,X4,X5,X2] :
( rinside(X4,X3)
| ~ rless(vf(X2,X4),vf(X2,X5))
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rcenter(X2,X3)
| ~ ron(X5,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_163])]) ).
fof(f2788,plain,
( ! [X0,X1] :
( ~ rless(vf(sK6,X0),vf(sK6,vd1409))
| rinside(X0,X1)
| ~ rpoint(X0)
| ~ rpoint(sK8)
| ~ rcenter(sK6,X1)
| ~ ron(sK8,X1) )
| ~ spl57_42
| ~ spl57_163 ),
inference(superposition,[],[f2730,f1825]) ).
fof(f2730,plain,
( ! [X2,X3,X4,X5] :
( ~ rless(vf(X2,X4),vf(X2,X5))
| rinside(X4,X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rcenter(X2,X3)
| ~ ron(X5,X3) )
| ~ spl57_163 ),
inference(avatar_component_clause,[],[f2729]) ).
fof(f14267,plain,
( spl57_557
| ~ spl57_10
| ~ spl57_334
| ~ spl57_556 ),
inference(avatar_split_clause,[],[f14263,f14260,f8496,f1682,f14265]) ).
fof(f14265,plain,
( spl57_557
<=> ! [X0,X1] :
( ~ rless(vf(sK7,X0),sK21(sK7,vd1409))
| ~ ron(sK8,X1)
| ~ rcenter(sK7,X1)
| ~ rpoint(X0)
| rinside(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_557])]) ).
fof(f14260,plain,
( spl57_556
<=> ! [X0,X1] :
( ~ rless(vf(sK7,X0),vf(sK7,vd1409))
| ~ ron(sK8,X1)
| ~ rcenter(sK7,X1)
| ~ rpoint(X0)
| rinside(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_556])]) ).
fof(f14263,plain,
( ! [X0,X1] :
( ~ rless(vf(sK7,X0),sK21(sK7,vd1409))
| ~ ron(sK8,X1)
| ~ rcenter(sK7,X1)
| ~ rpoint(X0)
| rinside(X0,X1) )
| ~ spl57_10
| ~ spl57_334
| ~ spl57_556 ),
inference(forward_demodulation,[],[f14261,f8810]) ).
fof(f14261,plain,
( ! [X0,X1] :
( ~ rless(vf(sK7,X0),vf(sK7,vd1409))
| ~ ron(sK8,X1)
| ~ rcenter(sK7,X1)
| ~ rpoint(X0)
| rinside(X0,X1) )
| ~ spl57_556 ),
inference(avatar_component_clause,[],[f14260]) ).
fof(f14262,plain,
( ~ spl57_9
| spl57_556
| ~ spl57_41
| ~ spl57_163 ),
inference(avatar_split_clause,[],[f2787,f2729,f1818,f14260,f1677]) ).
fof(f2787,plain,
( ! [X0,X1] :
( ~ rless(vf(sK7,X0),vf(sK7,vd1409))
| rinside(X0,X1)
| ~ rpoint(X0)
| ~ rpoint(sK8)
| ~ rcenter(sK7,X1)
| ~ ron(sK8,X1) )
| ~ spl57_41
| ~ spl57_163 ),
inference(superposition,[],[f2730,f1820]) ).
fof(f14252,plain,
( spl57_555
| ~ spl57_7
| ~ spl57_11
| ~ spl57_329
| ~ spl57_336
| ~ spl57_554 ),
inference(avatar_split_clause,[],[f14248,f14244,f8504,f8476,f1687,f1667,f14250]) ).
fof(f14250,plain,
( spl57_555
<=> ! [X0,X1] :
( ~ rless(sK21(vd1409,sK6),vf(sK6,X0))
| ~ ron(X0,X1)
| ~ rpoint(X0)
| rinside(sK8,X1)
| ~ rcenter(sK6,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_555])]) ).
fof(f14244,plain,
( spl57_554
<=> ! [X0,X1] :
( ~ rless(vf(sK6,vd1409),vf(sK6,X0))
| ~ ron(X0,X1)
| ~ rpoint(X0)
| rinside(sK8,X1)
| ~ rcenter(sK6,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_554])]) ).
fof(f14248,plain,
( ! [X0,X1] :
( ~ rless(sK21(vd1409,sK6),vf(sK6,X0))
| ~ ron(X0,X1)
| ~ rpoint(X0)
| rinside(sK8,X1)
| ~ rcenter(sK6,X1) )
| ~ spl57_7
| ~ spl57_11
| ~ spl57_329
| ~ spl57_336
| ~ spl57_554 ),
inference(forward_demodulation,[],[f14247,f8890]) ).
fof(f14247,plain,
( ! [X0,X1] :
( ~ rless(vf(vd1409,sK6),vf(sK6,X0))
| ~ ron(X0,X1)
| ~ rpoint(X0)
| rinside(sK8,X1)
| ~ rcenter(sK6,X1) )
| ~ spl57_11
| ~ spl57_329
| ~ spl57_554 ),
inference(forward_demodulation,[],[f14245,f8594]) ).
fof(f14245,plain,
( ! [X0,X1] :
( ~ rless(vf(sK6,vd1409),vf(sK6,X0))
| ~ ron(X0,X1)
| ~ rpoint(X0)
| rinside(sK8,X1)
| ~ rcenter(sK6,X1) )
| ~ spl57_554 ),
inference(avatar_component_clause,[],[f14244]) ).
fof(f14246,plain,
( ~ spl57_9
| spl57_554
| ~ spl57_42
| ~ spl57_163 ),
inference(avatar_split_clause,[],[f2781,f2729,f1823,f14244,f1677]) ).
fof(f2781,plain,
( ! [X0,X1] :
( ~ rless(vf(sK6,vd1409),vf(sK6,X0))
| rinside(sK8,X1)
| ~ rpoint(sK8)
| ~ rpoint(X0)
| ~ rcenter(sK6,X1)
| ~ ron(X0,X1) )
| ~ spl57_42
| ~ spl57_163 ),
inference(superposition,[],[f2730,f1825]) ).
fof(f14234,plain,
( spl57_553
| ~ spl57_10
| ~ spl57_334
| ~ spl57_552 ),
inference(avatar_split_clause,[],[f14230,f14227,f8496,f1682,f14232]) ).
fof(f14232,plain,
( spl57_553
<=> ! [X0,X1] :
( ~ rless(sK21(sK7,vd1409),vf(sK7,X0))
| ~ ron(X0,X1)
| ~ rpoint(X0)
| rinside(sK8,X1)
| ~ rcenter(sK7,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_553])]) ).
fof(f14227,plain,
( spl57_552
<=> ! [X0,X1] :
( ~ rless(vf(sK7,vd1409),vf(sK7,X0))
| ~ ron(X0,X1)
| ~ rpoint(X0)
| rinside(sK8,X1)
| ~ rcenter(sK7,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_552])]) ).
fof(f14230,plain,
( ! [X0,X1] :
( ~ rless(sK21(sK7,vd1409),vf(sK7,X0))
| ~ ron(X0,X1)
| ~ rpoint(X0)
| rinside(sK8,X1)
| ~ rcenter(sK7,X1) )
| ~ spl57_10
| ~ spl57_334
| ~ spl57_552 ),
inference(forward_demodulation,[],[f14228,f8810]) ).
fof(f14228,plain,
( ! [X0,X1] :
( ~ rless(vf(sK7,vd1409),vf(sK7,X0))
| ~ ron(X0,X1)
| ~ rpoint(X0)
| rinside(sK8,X1)
| ~ rcenter(sK7,X1) )
| ~ spl57_552 ),
inference(avatar_component_clause,[],[f14227]) ).
fof(f14229,plain,
( ~ spl57_9
| spl57_552
| ~ spl57_41
| ~ spl57_163 ),
inference(avatar_split_clause,[],[f2780,f2729,f1818,f14227,f1677]) ).
fof(f2780,plain,
( ! [X0,X1] :
( ~ rless(vf(sK7,vd1409),vf(sK7,X0))
| rinside(sK8,X1)
| ~ rpoint(sK8)
| ~ rpoint(X0)
| ~ rcenter(sK7,X1)
| ~ ron(X0,X1) )
| ~ spl57_41
| ~ spl57_163 ),
inference(superposition,[],[f2730,f1820]) ).
fof(f14225,plain,
( spl57_551
| ~ spl57_31
| ~ spl57_157 ),
inference(avatar_split_clause,[],[f2723,f2628,f1778,f14223]) ).
fof(f14223,plain,
( spl57_551
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK14(X1))
| ~ ron(X0,X1)
| rintersect(X1,X2)
| ~ rinside(X0,X2)
| ~ ron(sK14(X1),X2)
| ~ rcircle(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_551])]) ).
fof(f2628,plain,
( spl57_157
<=> ! [X3,X4,X5,X2] :
( rintersect(X2,X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ ron(X4,X2)
| ~ rinside(X5,X2)
| ~ rinside(X4,X3)
| ~ ron(X5,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_157])]) ).
fof(f2723,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK14(X1))
| ~ ron(X0,X1)
| rintersect(X1,X2)
| ~ rinside(X0,X2)
| ~ ron(sK14(X1),X2)
| ~ rcircle(X1) )
| ~ spl57_31
| ~ spl57_157 ),
inference(resolution,[],[f2629,f1779]) ).
fof(f2629,plain,
( ! [X2,X3,X4,X5] :
( ~ rinside(X5,X2)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ ron(X4,X2)
| rintersect(X2,X3)
| ~ rinside(X4,X3)
| ~ ron(X5,X3) )
| ~ spl57_157 ),
inference(avatar_component_clause,[],[f2628]) ).
fof(f14221,plain,
( spl57_550
| ~ spl57_39
| ~ spl57_138 ),
inference(avatar_split_clause,[],[f2454,f2368,f1810,f14219]) ).
fof(f14219,plain,
( spl57_550
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK32(X2,X3)) = sK23(X0,X1,sK32(X2,X3))
| ~ sP1(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_550])]) ).
fof(f2454,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK32(X2,X3)) = sK23(X0,X1,sK32(X2,X3))
| ~ sP1(X2,X3) )
| ~ spl57_39
| ~ spl57_138 ),
inference(resolution,[],[f2369,f1811]) ).
fof(f14217,plain,
( spl57_549
| ~ spl57_40
| ~ spl57_138 ),
inference(avatar_split_clause,[],[f2453,f2368,f1814,f14215]) ).
fof(f14215,plain,
( spl57_549
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK31(X2,X3)) = sK23(X0,X1,sK31(X2,X3))
| ~ sP1(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_549])]) ).
fof(f2453,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK31(X2,X3)) = sK23(X0,X1,sK31(X2,X3))
| ~ sP1(X2,X3) )
| ~ spl57_40
| ~ spl57_138 ),
inference(resolution,[],[f2369,f1815]) ).
fof(f14213,plain,
( spl57_548
| ~ spl57_37
| ~ spl57_138 ),
inference(avatar_split_clause,[],[f2446,f2368,f1802,f14211]) ).
fof(f14211,plain,
( spl57_548
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK19(X2,X3)) = sK23(X0,X1,sK19(X2,X3))
| ~ sP0(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_548])]) ).
fof(f2446,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK19(X2,X3)) = sK23(X0,X1,sK19(X2,X3))
| ~ sP0(X2,X3) )
| ~ spl57_37
| ~ spl57_138 ),
inference(resolution,[],[f2369,f1803]) ).
fof(f14209,plain,
( spl57_547
| ~ spl57_38
| ~ spl57_138 ),
inference(avatar_split_clause,[],[f2445,f2368,f1806,f14207]) ).
fof(f14207,plain,
( spl57_547
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK18(X2,X3)) = sK23(X0,X1,sK18(X2,X3))
| ~ sP0(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_547])]) ).
fof(f2445,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK18(X2,X3)) = sK23(X0,X1,sK18(X2,X3))
| ~ sP0(X2,X3) )
| ~ spl57_38
| ~ spl57_138 ),
inference(resolution,[],[f2369,f1807]) ).
fof(f14205,plain,
( spl57_546
| ~ spl57_36
| ~ spl57_138 ),
inference(avatar_split_clause,[],[f2439,f2368,f1798,f14203]) ).
fof(f14203,plain,
( spl57_546
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK9(X2,X3)) = sK23(X0,X1,sK9(X2,X3))
| ~ rcenter(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_546])]) ).
fof(f1798,plain,
( spl57_36
<=> ! [X0,X1] :
( rpoint(sK9(X0,X1))
| ~ rcenter(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_36])]) ).
fof(f2439,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK9(X2,X3)) = sK23(X0,X1,sK9(X2,X3))
| ~ rcenter(X2,X3) )
| ~ spl57_36
| ~ spl57_138 ),
inference(resolution,[],[f2369,f1799]) ).
fof(f1799,plain,
( ! [X0,X1] :
( rpoint(sK9(X0,X1))
| ~ rcenter(X0,X1) )
| ~ spl57_36 ),
inference(avatar_component_clause,[],[f1798]) ).
fof(f14201,plain,
( spl57_545
| ~ spl57_39
| ~ spl57_137 ),
inference(avatar_split_clause,[],[f2427,f2364,f1810,f14199]) ).
fof(f14199,plain,
( spl57_545
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK32(X2,X3)) = vg(X0,sK32(X2,X3),X1)
| ~ sP1(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_545])]) ).
fof(f2427,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK32(X2,X3)) = vg(X0,sK32(X2,X3),X1)
| ~ sP1(X2,X3) )
| ~ spl57_39
| ~ spl57_137 ),
inference(resolution,[],[f2365,f1811]) ).
fof(f14194,plain,
( spl57_544
| ~ spl57_40
| ~ spl57_137 ),
inference(avatar_split_clause,[],[f2426,f2364,f1814,f14192]) ).
fof(f14192,plain,
( spl57_544
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK31(X2,X3)) = vg(X0,sK31(X2,X3),X1)
| ~ sP1(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_544])]) ).
fof(f2426,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK31(X2,X3)) = vg(X0,sK31(X2,X3),X1)
| ~ sP1(X2,X3) )
| ~ spl57_40
| ~ spl57_137 ),
inference(resolution,[],[f2365,f1815]) ).
fof(f14190,plain,
( spl57_543
| ~ spl57_37
| ~ spl57_137 ),
inference(avatar_split_clause,[],[f2419,f2364,f1802,f14188]) ).
fof(f14188,plain,
( spl57_543
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK19(X2,X3)) = vg(X0,sK19(X2,X3),X1)
| ~ sP0(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_543])]) ).
fof(f2419,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK19(X2,X3)) = vg(X0,sK19(X2,X3),X1)
| ~ sP0(X2,X3) )
| ~ spl57_37
| ~ spl57_137 ),
inference(resolution,[],[f2365,f1803]) ).
fof(f14186,plain,
( spl57_542
| ~ spl57_38
| ~ spl57_137 ),
inference(avatar_split_clause,[],[f2418,f2364,f1806,f14184]) ).
fof(f14184,plain,
( spl57_542
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK18(X2,X3)) = vg(X0,sK18(X2,X3),X1)
| ~ sP0(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_542])]) ).
fof(f2418,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK18(X2,X3)) = vg(X0,sK18(X2,X3),X1)
| ~ sP0(X2,X3) )
| ~ spl57_38
| ~ spl57_137 ),
inference(resolution,[],[f2365,f1807]) ).
fof(f14182,plain,
( spl57_541
| ~ spl57_36
| ~ spl57_137 ),
inference(avatar_split_clause,[],[f2412,f2364,f1798,f14180]) ).
fof(f14180,plain,
( spl57_541
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK9(X2,X3)) = vg(X0,sK9(X2,X3),X1)
| ~ rcenter(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_541])]) ).
fof(f2412,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK9(X2,X3)) = vg(X0,sK9(X2,X3),X1)
| ~ rcenter(X2,X3) )
| ~ spl57_36
| ~ spl57_137 ),
inference(resolution,[],[f2365,f1799]) ).
fof(f14178,plain,
( spl57_540
| ~ spl57_39
| ~ spl57_135 ),
inference(avatar_split_clause,[],[f2400,f2356,f1810,f14176]) ).
fof(f14176,plain,
( spl57_540
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK32(X2,X3)) = vg(sK32(X2,X3),X0,X1)
| ~ sP1(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_540])]) ).
fof(f2400,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK32(X2,X3)) = vg(sK32(X2,X3),X0,X1)
| ~ sP1(X2,X3) )
| ~ spl57_39
| ~ spl57_135 ),
inference(resolution,[],[f2357,f1811]) ).
fof(f14174,plain,
( spl57_539
| ~ spl57_40
| ~ spl57_135 ),
inference(avatar_split_clause,[],[f2399,f2356,f1814,f14172]) ).
fof(f14172,plain,
( spl57_539
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK31(X2,X3)) = vg(sK31(X2,X3),X0,X1)
| ~ sP1(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_539])]) ).
fof(f2399,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK31(X2,X3)) = vg(sK31(X2,X3),X0,X1)
| ~ sP1(X2,X3) )
| ~ spl57_40
| ~ spl57_135 ),
inference(resolution,[],[f2357,f1815]) ).
fof(f14170,plain,
( spl57_538
| ~ spl57_37
| ~ spl57_135 ),
inference(avatar_split_clause,[],[f2392,f2356,f1802,f14168]) ).
fof(f14168,plain,
( spl57_538
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK19(X2,X3)) = vg(sK19(X2,X3),X0,X1)
| ~ sP0(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_538])]) ).
fof(f2392,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK19(X2,X3)) = vg(sK19(X2,X3),X0,X1)
| ~ sP0(X2,X3) )
| ~ spl57_37
| ~ spl57_135 ),
inference(resolution,[],[f2357,f1803]) ).
fof(f14166,plain,
( spl57_537
| ~ spl57_38
| ~ spl57_135 ),
inference(avatar_split_clause,[],[f2391,f2356,f1806,f14164]) ).
fof(f14164,plain,
( spl57_537
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK18(X2,X3)) = vg(sK18(X2,X3),X0,X1)
| ~ sP0(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_537])]) ).
fof(f2391,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK18(X2,X3)) = vg(sK18(X2,X3),X0,X1)
| ~ sP0(X2,X3) )
| ~ spl57_38
| ~ spl57_135 ),
inference(resolution,[],[f2357,f1807]) ).
fof(f14162,plain,
( spl57_536
| ~ spl57_36
| ~ spl57_135 ),
inference(avatar_split_clause,[],[f2385,f2356,f1798,f14160]) ).
fof(f14160,plain,
( spl57_536
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK9(X2,X3)) = vg(sK9(X2,X3),X0,X1)
| ~ rcenter(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_536])]) ).
fof(f2385,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK9(X2,X3)) = vg(sK9(X2,X3),X0,X1)
| ~ rcenter(X2,X3) )
| ~ spl57_36
| ~ spl57_135 ),
inference(resolution,[],[f2357,f1799]) ).
fof(f14158,plain,
( spl57_535
| ~ spl57_44
| ~ spl57_124 ),
inference(avatar_split_clause,[],[f2322,f2288,f1832,f14156]) ).
fof(f14156,plain,
( spl57_535
<=> ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1
| vd684 = vf(vskolem1052(X0,X0,X1,X1),vskolem1052(X0,X0,X1,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_535])]) ).
fof(f2288,plain,
( spl57_124
<=> ! [X1,X3] :
( rpoint(vskolem1052(X1,X1,X3,X3))
| ~ rpoint(X1)
| ~ rpoint(X3)
| X1 = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_124])]) ).
fof(f2322,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1
| vd684 = vf(vskolem1052(X0,X0,X1,X1),vskolem1052(X0,X0,X1,X1)) )
| ~ spl57_44
| ~ spl57_124 ),
inference(resolution,[],[f2289,f1833]) ).
fof(f2289,plain,
( ! [X3,X1] :
( rpoint(vskolem1052(X1,X1,X3,X3))
| ~ rpoint(X1)
| ~ rpoint(X3)
| X1 = X3 )
| ~ spl57_124 ),
inference(avatar_component_clause,[],[f2288]) ).
fof(f14154,plain,
( spl57_534
| ~ spl57_9
| ~ spl57_435 ),
inference(avatar_split_clause,[],[f13259,f11113,f1677,f14151]) ).
fof(f14151,plain,
( spl57_534
<=> vd684 = vg(sK8,sK8,sK16(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_534])]) ).
fof(f13259,plain,
( vd684 = vg(sK8,sK8,sK16(sK5))
| ~ spl57_9
| ~ spl57_435 ),
inference(resolution,[],[f11114,f1679]) ).
fof(f14149,plain,
( spl57_533
| ~ spl57_79
| ~ spl57_93 ),
inference(avatar_split_clause,[],[f2153,f2072,f2016,f14147]) ).
fof(f2153,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ ron(X1,X0)
| ~ rpoint(X2)
| vf(X2,sK35(X0,X1)) = vf(sK35(X0,X1),X2) )
| ~ spl57_79
| ~ spl57_93 ),
inference(resolution,[],[f2073,f2017]) ).
fof(f14145,plain,
( spl57_532
| ~ spl57_80
| ~ spl57_93 ),
inference(avatar_split_clause,[],[f2152,f2072,f2020,f14143]) ).
fof(f2152,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ ron(X1,X0)
| ~ rpoint(X2)
| vf(X2,sK35(X0,X1)) = sK21(X2,sK35(X0,X1)) )
| ~ spl57_80
| ~ spl57_93 ),
inference(resolution,[],[f2073,f2021]) ).
fof(f14141,plain,
( spl57_531
| ~ spl57_79
| ~ spl57_92 ),
inference(avatar_split_clause,[],[f2149,f2068,f2016,f14139]) ).
fof(f14139,plain,
( spl57_531
<=> ! [X2,X0,X1] :
( ~ rcircle(X0)
| ~ rpoint(X1)
| ~ ron(X1,X0)
| ~ rpoint(X2)
| vf(X2,sK34(X0,X1)) = vf(sK34(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_531])]) ).
fof(f2068,plain,
( spl57_92
<=> ! [X1,X3] :
( rpoint(sK34(X1,X3))
| ~ rcircle(X1)
| ~ rpoint(X3)
| ~ ron(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_92])]) ).
fof(f2149,plain,
( ! [X2,X0,X1] :
( ~ rcircle(X0)
| ~ rpoint(X1)
| ~ ron(X1,X0)
| ~ rpoint(X2)
| vf(X2,sK34(X0,X1)) = vf(sK34(X0,X1),X2) )
| ~ spl57_79
| ~ spl57_92 ),
inference(resolution,[],[f2069,f2017]) ).
fof(f2069,plain,
( ! [X3,X1] :
( rpoint(sK34(X1,X3))
| ~ rcircle(X1)
| ~ rpoint(X3)
| ~ ron(X3,X1) )
| ~ spl57_92 ),
inference(avatar_component_clause,[],[f2068]) ).
fof(f14137,plain,
( spl57_530
| ~ spl57_80
| ~ spl57_92 ),
inference(avatar_split_clause,[],[f2148,f2068,f2020,f14135]) ).
fof(f14135,plain,
( spl57_530
<=> ! [X2,X0,X1] :
( ~ rcircle(X0)
| ~ rpoint(X1)
| ~ ron(X1,X0)
| ~ rpoint(X2)
| vf(X2,sK34(X0,X1)) = sK21(X2,sK34(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_530])]) ).
fof(f2148,plain,
( ! [X2,X0,X1] :
( ~ rcircle(X0)
| ~ rpoint(X1)
| ~ ron(X1,X0)
| ~ rpoint(X2)
| vf(X2,sK34(X0,X1)) = sK21(X2,sK34(X0,X1)) )
| ~ spl57_80
| ~ spl57_92 ),
inference(resolution,[],[f2069,f2021]) ).
fof(f14133,plain,
( spl57_529
| ~ spl57_79
| ~ spl57_91 ),
inference(avatar_split_clause,[],[f2145,f2064,f2016,f14131]) ).
fof(f14131,plain,
( spl57_529
<=> ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rline(X1)
| ~ rintersect(X0,X1)
| ~ rpoint(X2)
| vf(X2,sK33(X0,X1)) = vf(sK33(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_529])]) ).
fof(f2145,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rline(X1)
| ~ rintersect(X0,X1)
| ~ rpoint(X2)
| vf(X2,sK33(X0,X1)) = vf(sK33(X0,X1),X2) )
| ~ spl57_79
| ~ spl57_91 ),
inference(resolution,[],[f2065,f2017]) ).
fof(f14129,plain,
( spl57_528
| ~ spl57_80
| ~ spl57_91 ),
inference(avatar_split_clause,[],[f2144,f2064,f2020,f14127]) ).
fof(f14127,plain,
( spl57_528
<=> ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rline(X1)
| ~ rintersect(X0,X1)
| ~ rpoint(X2)
| vf(X2,sK33(X0,X1)) = sK21(X2,sK33(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_528])]) ).
fof(f2144,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rline(X1)
| ~ rintersect(X0,X1)
| ~ rpoint(X2)
| vf(X2,sK33(X0,X1)) = sK21(X2,sK33(X0,X1)) )
| ~ spl57_80
| ~ spl57_91 ),
inference(resolution,[],[f2065,f2021]) ).
fof(f14125,plain,
( spl57_527
| ~ spl57_79
| ~ spl57_90 ),
inference(avatar_split_clause,[],[f2141,f2060,f2016,f14123]) ).
fof(f14123,plain,
( spl57_527
<=> ! [X2,X0,X1] :
( ~ rcircle(X0)
| ~ rline(X1)
| ~ rintersect(X1,X0)
| ~ rpoint(X2)
| vf(X2,sK30(X0,X1)) = vf(sK30(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_527])]) ).
fof(f2060,plain,
( spl57_90
<=> ! [X1,X3] :
( rpoint(sK30(X1,X3))
| ~ rcircle(X1)
| ~ rline(X3)
| ~ rintersect(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_90])]) ).
fof(f2141,plain,
( ! [X2,X0,X1] :
( ~ rcircle(X0)
| ~ rline(X1)
| ~ rintersect(X1,X0)
| ~ rpoint(X2)
| vf(X2,sK30(X0,X1)) = vf(sK30(X0,X1),X2) )
| ~ spl57_79
| ~ spl57_90 ),
inference(resolution,[],[f2061,f2017]) ).
fof(f2061,plain,
( ! [X3,X1] :
( rpoint(sK30(X1,X3))
| ~ rcircle(X1)
| ~ rline(X3)
| ~ rintersect(X3,X1) )
| ~ spl57_90 ),
inference(avatar_component_clause,[],[f2060]) ).
fof(f14121,plain,
( spl57_526
| ~ spl57_80
| ~ spl57_90 ),
inference(avatar_split_clause,[],[f2140,f2060,f2020,f14119]) ).
fof(f14119,plain,
( spl57_526
<=> ! [X2,X0,X1] :
( ~ rcircle(X0)
| ~ rline(X1)
| ~ rintersect(X1,X0)
| ~ rpoint(X2)
| vf(X2,sK30(X0,X1)) = sK21(X2,sK30(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_526])]) ).
fof(f2140,plain,
( ! [X2,X0,X1] :
( ~ rcircle(X0)
| ~ rline(X1)
| ~ rintersect(X1,X0)
| ~ rpoint(X2)
| vf(X2,sK30(X0,X1)) = sK21(X2,sK30(X0,X1)) )
| ~ spl57_80
| ~ spl57_90 ),
inference(resolution,[],[f2061,f2021]) ).
fof(f14117,plain,
( spl57_525
| ~ spl57_79
| ~ spl57_89 ),
inference(avatar_split_clause,[],[f2137,f2056,f2016,f14115]) ).
fof(f14115,plain,
( spl57_525
<=> ! [X2,X0,X1] :
( ~ rcircle(X0)
| ~ rcircle(X1)
| ~ rintersect(X0,X1)
| ~ rpoint(X2)
| vf(X2,sK29(X0,X1)) = vf(sK29(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_525])]) ).
fof(f2056,plain,
( spl57_89
<=> ! [X1,X3] :
( rpoint(sK29(X1,X3))
| ~ rcircle(X1)
| ~ rcircle(X3)
| ~ rintersect(X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_89])]) ).
fof(f2137,plain,
( ! [X2,X0,X1] :
( ~ rcircle(X0)
| ~ rcircle(X1)
| ~ rintersect(X0,X1)
| ~ rpoint(X2)
| vf(X2,sK29(X0,X1)) = vf(sK29(X0,X1),X2) )
| ~ spl57_79
| ~ spl57_89 ),
inference(resolution,[],[f2057,f2017]) ).
fof(f2057,plain,
( ! [X3,X1] :
( rpoint(sK29(X1,X3))
| ~ rcircle(X1)
| ~ rcircle(X3)
| ~ rintersect(X1,X3) )
| ~ spl57_89 ),
inference(avatar_component_clause,[],[f2056]) ).
fof(f14113,plain,
( spl57_524
| ~ spl57_80
| ~ spl57_89 ),
inference(avatar_split_clause,[],[f2136,f2056,f2020,f14111]) ).
fof(f14111,plain,
( spl57_524
<=> ! [X2,X0,X1] :
( ~ rcircle(X0)
| ~ rcircle(X1)
| ~ rintersect(X0,X1)
| ~ rpoint(X2)
| vf(X2,sK29(X0,X1)) = sK21(X2,sK29(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_524])]) ).
fof(f2136,plain,
( ! [X2,X0,X1] :
( ~ rcircle(X0)
| ~ rcircle(X1)
| ~ rintersect(X0,X1)
| ~ rpoint(X2)
| vf(X2,sK29(X0,X1)) = sK21(X2,sK29(X0,X1)) )
| ~ spl57_80
| ~ spl57_89 ),
inference(resolution,[],[f2057,f2021]) ).
fof(f14109,plain,
( spl57_523
| ~ spl57_10
| ~ spl57_435 ),
inference(avatar_split_clause,[],[f13258,f11113,f1682,f14106]) ).
fof(f14106,plain,
( spl57_523
<=> vd684 = vg(sK7,sK7,sK16(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_523])]) ).
fof(f13258,plain,
( vd684 = vg(sK7,sK7,sK16(sK5))
| ~ spl57_10
| ~ spl57_435 ),
inference(resolution,[],[f11114,f1684]) ).
fof(f14104,plain,
( spl57_522
| ~ spl57_79
| ~ spl57_87 ),
inference(avatar_split_clause,[],[f2133,f2048,f2016,f14102]) ).
fof(f14102,plain,
( spl57_522
<=> ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| ~ rpoint(X2)
| vf(X2,sK28(X0,X1)) = vf(sK28(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_522])]) ).
fof(f2133,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| ~ rpoint(X2)
| vf(X2,sK28(X0,X1)) = vf(sK28(X0,X1),X2) )
| ~ spl57_79
| ~ spl57_87 ),
inference(resolution,[],[f2049,f2017]) ).
fof(f14100,plain,
( spl57_521
| ~ spl57_80
| ~ spl57_87 ),
inference(avatar_split_clause,[],[f2132,f2048,f2020,f14098]) ).
fof(f14098,plain,
( spl57_521
<=> ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| ~ rpoint(X2)
| vf(X2,sK28(X0,X1)) = sK21(X2,sK28(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_521])]) ).
fof(f2132,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| ~ rpoint(X2)
| vf(X2,sK28(X0,X1)) = sK21(X2,sK28(X0,X1)) )
| ~ spl57_80
| ~ spl57_87 ),
inference(resolution,[],[f2049,f2021]) ).
fof(f14096,plain,
( spl57_520
| ~ spl57_79
| ~ spl57_86 ),
inference(avatar_split_clause,[],[f2129,f2044,f2016,f14094]) ).
fof(f14094,plain,
( spl57_520
<=> ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| ~ rpoint(X2)
| vf(X2,sK27(X0,X1)) = vf(sK27(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_520])]) ).
fof(f2129,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| ~ rpoint(X2)
| vf(X2,sK27(X0,X1)) = vf(sK27(X0,X1),X2) )
| ~ spl57_79
| ~ spl57_86 ),
inference(resolution,[],[f2045,f2017]) ).
fof(f14092,plain,
( spl57_519
| ~ spl57_80
| ~ spl57_86 ),
inference(avatar_split_clause,[],[f2128,f2044,f2020,f14090]) ).
fof(f14090,plain,
( spl57_519
<=> ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| ~ rpoint(X2)
| vf(X2,sK27(X0,X1)) = sK21(X2,sK27(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_519])]) ).
fof(f2128,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| ~ rpoint(X2)
| vf(X2,sK27(X0,X1)) = sK21(X2,sK27(X0,X1)) )
| ~ spl57_80
| ~ spl57_86 ),
inference(resolution,[],[f2045,f2021]) ).
fof(f13735,plain,
( spl57_518
| ~ spl57_11
| ~ spl57_435 ),
inference(avatar_split_clause,[],[f13257,f11113,f1687,f13732]) ).
fof(f13732,plain,
( spl57_518
<=> vd684 = vg(sK6,sK6,sK16(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_518])]) ).
fof(f13257,plain,
( vd684 = vg(sK6,sK6,sK16(sK5))
| ~ spl57_11
| ~ spl57_435 ),
inference(resolution,[],[f11114,f1689]) ).
fof(f13602,plain,
( spl57_515
| ~ spl57_11
| ~ spl57_516
| spl57_517
| ~ spl57_17
| ~ spl57_211 ),
inference(avatar_split_clause,[],[f4253,f4228,f1717,f13600,f13596,f1687,f13592]) ).
fof(f13592,plain,
( spl57_515
<=> rintersect(sK37(vd1407),vd1407) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_515])]) ).
fof(f13596,plain,
( spl57_516
<=> rcircle(vd1407) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_516])]) ).
fof(f13600,plain,
( spl57_517
<=> ! [X0] :
( rS(X0,sK6,sK38(X0,sK6))
| ~ ron(X0,vd1407)
| ~ rpoint(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_517])]) ).
fof(f4228,plain,
( spl57_211
<=> ! [X6,X5,X7] :
( rintersect(sK37(X7),X7)
| rS(X5,X6,sK38(X5,X6))
| ~ rcircle(X7)
| ~ rpoint(X6)
| ~ ron(X6,X7)
| ~ rpoint(X5)
| ~ ron(X5,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_211])]) ).
fof(f4253,plain,
( ! [X0] :
( rS(X0,sK6,sK38(X0,sK6))
| ~ rcircle(vd1407)
| ~ rpoint(sK6)
| rintersect(sK37(vd1407),vd1407)
| ~ rpoint(X0)
| ~ ron(X0,vd1407) )
| ~ spl57_17
| ~ spl57_211 ),
inference(resolution,[],[f4229,f1719]) ).
fof(f4229,plain,
( ! [X6,X7,X5] :
( ~ ron(X6,X7)
| rS(X5,X6,sK38(X5,X6))
| ~ rcircle(X7)
| ~ rpoint(X6)
| rintersect(sK37(X7),X7)
| ~ rpoint(X5)
| ~ ron(X5,X7) )
| ~ spl57_211 ),
inference(avatar_component_clause,[],[f4228]) ).
fof(f13590,plain,
( spl57_512
| ~ spl57_9
| ~ spl57_513
| spl57_514
| ~ spl57_19
| ~ spl57_211 ),
inference(avatar_split_clause,[],[f4251,f4228,f1727,f13588,f13584,f1677,f13580]) ).
fof(f13580,plain,
( spl57_512
<=> rintersect(sK37(vd1416),vd1416) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_512])]) ).
fof(f13584,plain,
( spl57_513
<=> rcircle(vd1416) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_513])]) ).
fof(f13588,plain,
( spl57_514
<=> ! [X0] :
( rS(X0,sK8,sK38(X0,sK8))
| ~ ron(X0,vd1416)
| ~ rpoint(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_514])]) ).
fof(f4251,plain,
( ! [X0] :
( rS(X0,sK8,sK38(X0,sK8))
| ~ rcircle(vd1416)
| ~ rpoint(sK8)
| rintersect(sK37(vd1416),vd1416)
| ~ rpoint(X0)
| ~ ron(X0,vd1416) )
| ~ spl57_19
| ~ spl57_211 ),
inference(resolution,[],[f4229,f1729]) ).
fof(f13506,plain,
( spl57_511
| ~ spl57_6
| ~ spl57_435 ),
inference(avatar_split_clause,[],[f13256,f11113,f1662,f13503]) ).
fof(f13503,plain,
( spl57_511
<=> vd684 = vg(vd14,vd14,sK16(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_511])]) ).
fof(f13256,plain,
( vd684 = vg(vd14,vd14,sK16(sK5))
| ~ spl57_6
| ~ spl57_435 ),
inference(resolution,[],[f11114,f1664]) ).
fof(f13501,plain,
( ~ spl57_11
| spl57_510
| ~ spl57_8
| ~ spl57_17
| ~ spl57_186 ),
inference(avatar_split_clause,[],[f3110,f3041,f1717,f1672,f13499,f1687]) ).
fof(f13499,plain,
( spl57_510
<=> ! [X0,X1] :
( ~ rpoint(X0)
| rpoint(sK40(vd1407,X0,X1))
| ~ ron(X0,vd1407)
| ~ rpoint(X1)
| ~ ron(X1,vd1407) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_510])]) ).
fof(f3110,plain,
( ! [X0,X1] :
( ~ rline(vd1407)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(sK6)
| ~ ron(X0,vd1407)
| ~ ron(X1,vd1407)
| rpoint(sK40(vd1407,X0,X1)) )
| ~ spl57_17
| ~ spl57_186 ),
inference(resolution,[],[f3042,f1719]) ).
fof(f13425,plain,
( ~ spl57_9
| spl57_509
| ~ spl57_12
| ~ spl57_19
| ~ spl57_186 ),
inference(avatar_split_clause,[],[f3108,f3041,f1727,f1692,f13423,f1677]) ).
fof(f13423,plain,
( spl57_509
<=> ! [X0,X1] :
( ~ rpoint(X0)
| rpoint(sK40(vd1416,X0,X1))
| ~ ron(X0,vd1416)
| ~ rpoint(X1)
| ~ ron(X1,vd1416) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_509])]) ).
fof(f3108,plain,
( ! [X0,X1] :
( ~ rline(vd1416)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(sK8)
| ~ ron(X0,vd1416)
| ~ ron(X1,vd1416)
| rpoint(sK40(vd1416,X0,X1)) )
| ~ spl57_19
| ~ spl57_186 ),
inference(resolution,[],[f3042,f1729]) ).
fof(f13421,plain,
( spl57_508
| ~ spl57_9
| ~ spl57_174 ),
inference(avatar_split_clause,[],[f2887,f2828,f1677,f13419]) ).
fof(f13419,plain,
( spl57_508
<=> ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vangle(X0,X1,sK8) = vangle(sK8,X1,X0)
| X0 = X1
| sK8 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_508])]) ).
fof(f2828,plain,
( spl57_174
<=> ! [X4,X5,X3] :
( vangle(X3,X4,X5) = vangle(X5,X4,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X3 = X4
| X3 = X5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_174])]) ).
fof(f2887,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vangle(X0,X1,sK8) = vangle(sK8,X1,X0)
| X0 = X1
| sK8 = X0 )
| ~ spl57_9
| ~ spl57_174 ),
inference(resolution,[],[f2829,f1679]) ).
fof(f2829,plain,
( ! [X3,X4,X5] :
( ~ rpoint(X5)
| ~ rpoint(X3)
| ~ rpoint(X4)
| vangle(X3,X4,X5) = vangle(X5,X4,X3)
| X3 = X4
| X3 = X5 )
| ~ spl57_174 ),
inference(avatar_component_clause,[],[f2828]) ).
fof(f13417,plain,
( spl57_507
| ~ spl57_10
| ~ spl57_174 ),
inference(avatar_split_clause,[],[f2886,f2828,f1682,f13415]) ).
fof(f13415,plain,
( spl57_507
<=> ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vangle(X0,X1,sK7) = vangle(sK7,X1,X0)
| X0 = X1
| sK7 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_507])]) ).
fof(f2886,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vangle(X0,X1,sK7) = vangle(sK7,X1,X0)
| X0 = X1
| sK7 = X0 )
| ~ spl57_10
| ~ spl57_174 ),
inference(resolution,[],[f2829,f1684]) ).
fof(f13413,plain,
( spl57_506
| ~ spl57_11
| ~ spl57_174 ),
inference(avatar_split_clause,[],[f2885,f2828,f1687,f13411]) ).
fof(f13411,plain,
( spl57_506
<=> ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vangle(X0,X1,sK6) = vangle(sK6,X1,X0)
| X0 = X1
| sK6 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_506])]) ).
fof(f2885,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vangle(X0,X1,sK6) = vangle(sK6,X1,X0)
| X0 = X1
| sK6 = X0 )
| ~ spl57_11
| ~ spl57_174 ),
inference(resolution,[],[f2829,f1689]) ).
fof(f13409,plain,
( spl57_505
| ~ spl57_6
| ~ spl57_174 ),
inference(avatar_split_clause,[],[f2884,f2828,f1662,f13407]) ).
fof(f13407,plain,
( spl57_505
<=> ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vangle(X0,X1,vd14) = vangle(vd14,X1,X0)
| X0 = X1
| vd14 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_505])]) ).
fof(f2884,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vangle(X0,X1,vd14) = vangle(vd14,X1,X0)
| X0 = X1
| vd14 = X0 )
| ~ spl57_6
| ~ spl57_174 ),
inference(resolution,[],[f2829,f1664]) ).
fof(f13405,plain,
( spl57_504
| ~ spl57_7
| ~ spl57_174 ),
inference(avatar_split_clause,[],[f2881,f2828,f1667,f13403]) ).
fof(f13403,plain,
( spl57_504
<=> ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vangle(X0,X1,vd1409) = vangle(vd1409,X1,X0)
| X0 = X1
| vd1409 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_504])]) ).
fof(f2881,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vangle(X0,X1,vd1409) = vangle(vd1409,X1,X0)
| X0 = X1
| vd1409 = X0 )
| ~ spl57_7
| ~ spl57_174 ),
inference(resolution,[],[f2829,f1669]) ).
fof(f13401,plain,
( spl57_503
| ~ spl57_33
| ~ spl57_156 ),
inference(avatar_split_clause,[],[f2722,f2624,f1786,f13399]) ).
fof(f13399,plain,
( spl57_503
<=> ! [X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK16(X0))
| ~ ron(X1,X0)
| rpoint(sK25(X1,sK16(X0)))
| sK16(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_503])]) ).
fof(f2722,plain,
( ! [X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK16(X0))
| ~ ron(X1,X0)
| rpoint(sK25(X1,sK16(X0)))
| sK16(X0) = X1 )
| ~ spl57_33
| ~ spl57_156 ),
inference(duplicate_literal_removal,[],[f2686]) ).
fof(f2686,plain,
( ! [X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK16(X0))
| ~ ron(X1,X0)
| rpoint(sK25(X1,sK16(X0)))
| sK16(X0) = X1
| ~ rline(X0) )
| ~ spl57_33
| ~ spl57_156 ),
inference(resolution,[],[f2625,f1787]) ).
fof(f13397,plain,
( spl57_502
| ~ spl57_33
| ~ spl57_155 ),
inference(avatar_split_clause,[],[f2680,f2620,f1786,f13395]) ).
fof(f13395,plain,
( spl57_502
<=> ! [X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK16(X0))
| ~ ron(X1,X0)
| rpoint(sK24(X1,sK16(X0)))
| sK16(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_502])]) ).
fof(f2680,plain,
( ! [X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK16(X0))
| ~ ron(X1,X0)
| rpoint(sK24(X1,sK16(X0)))
| sK16(X0) = X1 )
| ~ spl57_33
| ~ spl57_155 ),
inference(duplicate_literal_removal,[],[f2644]) ).
fof(f2644,plain,
( ! [X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK16(X0))
| ~ ron(X1,X0)
| rpoint(sK24(X1,sK16(X0)))
| sK16(X0) = X1
| ~ rline(X0) )
| ~ spl57_33
| ~ spl57_155 ),
inference(resolution,[],[f2621,f1787]) ).
fof(f13393,plain,
( spl57_501
| ~ spl57_7
| ~ spl57_435 ),
inference(avatar_split_clause,[],[f13252,f11113,f1667,f13390]) ).
fof(f13390,plain,
( spl57_501
<=> vd684 = vg(vd1409,vd1409,sK16(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_501])]) ).
fof(f13252,plain,
( vd684 = vg(vd1409,vd1409,sK16(sK5))
| ~ spl57_7
| ~ spl57_435 ),
inference(resolution,[],[f11114,f1669]) ).
fof(f13388,plain,
( spl57_500
| ~ spl57_70
| ~ spl57_124 ),
inference(avatar_split_clause,[],[f2321,f2288,f1960,f13386]) ).
fof(f13386,plain,
( spl57_500
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1
| ~ rpoint(X2)
| vd684 = vg(X2,X2,vskolem1052(X0,X0,X1,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_500])]) ).
fof(f2321,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1
| ~ rpoint(X2)
| vd684 = vg(X2,X2,vskolem1052(X0,X0,X1,X1)) )
| ~ spl57_70
| ~ spl57_124 ),
inference(resolution,[],[f2289,f1961]) ).
fof(f13384,plain,
( spl57_499
| ~ spl57_88
| ~ spl57_101 ),
inference(avatar_split_clause,[],[f2260,f2185,f2052,f13382]) ).
fof(f13382,plain,
( spl57_499
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1
| ~ rcircle(sK11(X0,X1))
| ~ rcenter(X2,sK11(X0,X1))
| X0 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_499])]) ).
fof(f2052,plain,
( spl57_88
<=> ! [X2,X1,X3] :
( X2 = X3
| ~ rcircle(X1)
| ~ rcenter(X2,X1)
| ~ rcenter(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_88])]) ).
fof(f2185,plain,
( spl57_101
<=> ! [X4,X3] :
( rcenter(X3,sK11(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_101])]) ).
fof(f2260,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1
| ~ rcircle(sK11(X0,X1))
| ~ rcenter(X2,sK11(X0,X1))
| X0 = X2 )
| ~ spl57_88
| ~ spl57_101 ),
inference(resolution,[],[f2186,f2053]) ).
fof(f2053,plain,
( ! [X2,X3,X1] :
( ~ rcenter(X3,X1)
| ~ rcircle(X1)
| ~ rcenter(X2,X1)
| X2 = X3 )
| ~ spl57_88 ),
inference(avatar_component_clause,[],[f2052]) ).
fof(f2186,plain,
( ! [X3,X4] :
( rcenter(X3,sK11(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 = X4 )
| ~ spl57_101 ),
inference(avatar_component_clause,[],[f2185]) ).
fof(f13352,plain,
( ~ spl57_8
| ~ spl57_10
| spl57_498
| ~ spl57_18
| ~ spl57_182 ),
inference(avatar_split_clause,[],[f3017,f2869,f1722,f13350,f1682,f1672]) ).
fof(f13350,plain,
( spl57_498
<=> ! [X0,X1] :
( ~ rpoint(X0)
| rintersect(X1,vd1407)
| ~ ron(X0,vd1407)
| rS(X0,sK7,X1)
| ~ rline(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_498])]) ).
fof(f1722,plain,
( spl57_18
<=> ron(sK7,vd1407) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_18])]) ).
fof(f3017,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK7)
| ~ rline(X1)
| rS(X0,sK7,X1)
| ~ rline(vd1407)
| ~ ron(X0,vd1407)
| rintersect(X1,vd1407) )
| ~ spl57_18
| ~ spl57_182 ),
inference(resolution,[],[f2870,f1724]) ).
fof(f1724,plain,
( ron(sK7,vd1407)
| ~ spl57_18 ),
inference(avatar_component_clause,[],[f1722]) ).
fof(f13327,plain,
( ~ spl57_8
| ~ spl57_11
| spl57_497
| ~ spl57_17
| ~ spl57_182 ),
inference(avatar_split_clause,[],[f3016,f2869,f1717,f13325,f1687,f1672]) ).
fof(f13325,plain,
( spl57_497
<=> ! [X0,X1] :
( ~ rpoint(X0)
| rintersect(X1,vd1407)
| ~ ron(X0,vd1407)
| rS(X0,sK6,X1)
| ~ rline(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_497])]) ).
fof(f3016,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK6)
| ~ rline(X1)
| rS(X0,sK6,X1)
| ~ rline(vd1407)
| ~ ron(X0,vd1407)
| rintersect(X1,vd1407) )
| ~ spl57_17
| ~ spl57_182 ),
inference(resolution,[],[f2870,f1719]) ).
fof(f13251,plain,
( ~ spl57_12
| ~ spl57_11
| spl57_496
| ~ spl57_20
| ~ spl57_182 ),
inference(avatar_split_clause,[],[f3015,f2869,f1732,f13249,f1687,f1692]) ).
fof(f13249,plain,
( spl57_496
<=> ! [X0,X1] :
( ~ rpoint(X0)
| rintersect(X1,vd1416)
| ~ ron(X0,vd1416)
| rS(X0,sK6,X1)
| ~ rline(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_496])]) ).
fof(f3015,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK6)
| ~ rline(X1)
| rS(X0,sK6,X1)
| ~ rline(vd1416)
| ~ ron(X0,vd1416)
| rintersect(X1,vd1416) )
| ~ spl57_20
| ~ spl57_182 ),
inference(resolution,[],[f2870,f1734]) ).
fof(f13225,plain,
( ~ spl57_12
| ~ spl57_9
| spl57_495
| ~ spl57_19
| ~ spl57_182 ),
inference(avatar_split_clause,[],[f3014,f2869,f1727,f13223,f1677,f1692]) ).
fof(f13223,plain,
( spl57_495
<=> ! [X0,X1] :
( ~ rpoint(X0)
| rintersect(X1,vd1416)
| ~ ron(X0,vd1416)
| rS(X0,sK8,X1)
| ~ rline(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_495])]) ).
fof(f3014,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK8)
| ~ rline(X1)
| rS(X0,sK8,X1)
| ~ rline(vd1416)
| ~ ron(X0,vd1416)
| rintersect(X1,vd1416) )
| ~ spl57_19
| ~ spl57_182 ),
inference(resolution,[],[f2870,f1729]) ).
fof(f13175,plain,
( ~ spl57_10
| spl57_494
| ~ spl57_8
| ~ spl57_18
| ~ spl57_177 ),
inference(avatar_split_clause,[],[f2975,f2840,f1722,f1672,f13173,f1682]) ).
fof(f13173,plain,
( spl57_494
<=> ! [X0] :
( ~ rpoint(X0)
| sK7 = X0
| rR(sK25(X0,sK7),X0,sK7)
| ~ ron(X0,vd1407) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_494])]) ).
fof(f2975,plain,
( ! [X0] :
( ~ rline(vd1407)
| ~ rpoint(X0)
| ~ rpoint(sK7)
| ~ ron(X0,vd1407)
| rR(sK25(X0,sK7),X0,sK7)
| sK7 = X0 )
| ~ spl57_18
| ~ spl57_177 ),
inference(resolution,[],[f2841,f1724]) ).
fof(f13125,plain,
( ~ spl57_11
| spl57_493
| ~ spl57_8
| ~ spl57_17
| ~ spl57_177 ),
inference(avatar_split_clause,[],[f2974,f2840,f1717,f1672,f13123,f1687]) ).
fof(f13123,plain,
( spl57_493
<=> ! [X0] :
( ~ rpoint(X0)
| sK6 = X0
| rR(sK25(X0,sK6),X0,sK6)
| ~ ron(X0,vd1407) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_493])]) ).
fof(f2974,plain,
( ! [X0] :
( ~ rline(vd1407)
| ~ rpoint(X0)
| ~ rpoint(sK6)
| ~ ron(X0,vd1407)
| rR(sK25(X0,sK6),X0,sK6)
| sK6 = X0 )
| ~ spl57_17
| ~ spl57_177 ),
inference(resolution,[],[f2841,f1719]) ).
fof(f13075,plain,
( ~ spl57_11
| spl57_492
| ~ spl57_12
| ~ spl57_20
| ~ spl57_177 ),
inference(avatar_split_clause,[],[f2973,f2840,f1732,f1692,f13073,f1687]) ).
fof(f13073,plain,
( spl57_492
<=> ! [X0] :
( ~ rpoint(X0)
| sK6 = X0
| rR(sK25(X0,sK6),X0,sK6)
| ~ ron(X0,vd1416) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_492])]) ).
fof(f2973,plain,
( ! [X0] :
( ~ rline(vd1416)
| ~ rpoint(X0)
| ~ rpoint(sK6)
| ~ ron(X0,vd1416)
| rR(sK25(X0,sK6),X0,sK6)
| sK6 = X0 )
| ~ spl57_20
| ~ spl57_177 ),
inference(resolution,[],[f2841,f1734]) ).
fof(f13025,plain,
( spl57_491
| ~ spl57_337
| ~ spl57_340 ),
inference(avatar_split_clause,[],[f9134,f8520,f8508,f13022]) ).
fof(f13022,plain,
( spl57_491
<=> vf(sK16(sK5),sK8) = sK21(sK16(sK5),sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_491])]) ).
fof(f13020,plain,
( ~ spl57_9
| spl57_490
| ~ spl57_12
| ~ spl57_19
| ~ spl57_177 ),
inference(avatar_split_clause,[],[f2972,f2840,f1727,f1692,f13018,f1677]) ).
fof(f13018,plain,
( spl57_490
<=> ! [X0] :
( ~ rpoint(X0)
| sK8 = X0
| rR(sK25(X0,sK8),X0,sK8)
| ~ ron(X0,vd1416) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_490])]) ).
fof(f2972,plain,
( ! [X0] :
( ~ rline(vd1416)
| ~ rpoint(X0)
| ~ rpoint(sK8)
| ~ ron(X0,vd1416)
| rR(sK25(X0,sK8),X0,sK8)
| sK8 = X0 )
| ~ spl57_19
| ~ spl57_177 ),
inference(resolution,[],[f2841,f1729]) ).
fof(f12970,plain,
( ~ spl57_10
| spl57_489
| ~ spl57_8
| ~ spl57_18
| ~ spl57_176 ),
inference(avatar_split_clause,[],[f2937,f2836,f1722,f1672,f12968,f1682]) ).
fof(f12968,plain,
( spl57_489
<=> ! [X0] :
( ~ rpoint(X0)
| sK7 = X0
| rR(sK7,X0,sK24(X0,sK7))
| ~ ron(X0,vd1407) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_489])]) ).
fof(f2937,plain,
( ! [X0] :
( ~ rline(vd1407)
| ~ rpoint(X0)
| ~ rpoint(sK7)
| ~ ron(X0,vd1407)
| rR(sK7,X0,sK24(X0,sK7))
| sK7 = X0 )
| ~ spl57_18
| ~ spl57_176 ),
inference(resolution,[],[f2837,f1724]) ).
fof(f12920,plain,
( ~ spl57_11
| spl57_488
| ~ spl57_8
| ~ spl57_17
| ~ spl57_176 ),
inference(avatar_split_clause,[],[f2936,f2836,f1717,f1672,f12918,f1687]) ).
fof(f12918,plain,
( spl57_488
<=> ! [X0] :
( ~ rpoint(X0)
| sK6 = X0
| rR(sK6,X0,sK24(X0,sK6))
| ~ ron(X0,vd1407) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_488])]) ).
fof(f2936,plain,
( ! [X0] :
( ~ rline(vd1407)
| ~ rpoint(X0)
| ~ rpoint(sK6)
| ~ ron(X0,vd1407)
| rR(sK6,X0,sK24(X0,sK6))
| sK6 = X0 )
| ~ spl57_17
| ~ spl57_176 ),
inference(resolution,[],[f2837,f1719]) ).
fof(f12870,plain,
( ~ spl57_11
| spl57_487
| ~ spl57_12
| ~ spl57_20
| ~ spl57_176 ),
inference(avatar_split_clause,[],[f2935,f2836,f1732,f1692,f12868,f1687]) ).
fof(f12868,plain,
( spl57_487
<=> ! [X0] :
( ~ rpoint(X0)
| sK6 = X0
| rR(sK6,X0,sK24(X0,sK6))
| ~ ron(X0,vd1416) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_487])]) ).
fof(f2935,plain,
( ! [X0] :
( ~ rline(vd1416)
| ~ rpoint(X0)
| ~ rpoint(sK6)
| ~ ron(X0,vd1416)
| rR(sK6,X0,sK24(X0,sK6))
| sK6 = X0 )
| ~ spl57_20
| ~ spl57_176 ),
inference(resolution,[],[f2837,f1734]) ).
fof(f12820,plain,
( ~ spl57_9
| spl57_486
| ~ spl57_12
| ~ spl57_19
| ~ spl57_176 ),
inference(avatar_split_clause,[],[f2934,f2836,f1727,f1692,f12818,f1677]) ).
fof(f12818,plain,
( spl57_486
<=> ! [X0] :
( ~ rpoint(X0)
| sK8 = X0
| rR(sK8,X0,sK24(X0,sK8))
| ~ ron(X0,vd1416) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_486])]) ).
fof(f2934,plain,
( ! [X0] :
( ~ rline(vd1416)
| ~ rpoint(X0)
| ~ rpoint(sK8)
| ~ ron(X0,vd1416)
| rR(sK8,X0,sK24(X0,sK8))
| sK8 = X0 )
| ~ spl57_19
| ~ spl57_176 ),
inference(resolution,[],[f2837,f1729]) ).
fof(f12816,plain,
( spl57_485
| ~ spl57_123
| ~ spl57_139 ),
inference(avatar_split_clause,[],[f2463,f2372,f2284,f12814]) ).
fof(f12814,plain,
( spl57_485
<=> ! [X2,X0,X1] :
( ~ rreal(X0)
| ~ rreal(X1)
| ~ rreal(X2)
| ~ rless(X0,X1)
| rless(X0,X2)
| rless(X2,X1)
| X1 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_485])]) ).
fof(f2284,plain,
( spl57_123
<=> ! [X1,X3] :
( rless(X3,X1)
| X1 = X3
| rless(X1,X3)
| ~ rreal(X1)
| ~ rreal(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_123])]) ).
fof(f2463,plain,
( ! [X2,X0,X1] :
( ~ rreal(X0)
| ~ rreal(X1)
| ~ rreal(X2)
| ~ rless(X0,X1)
| rless(X0,X2)
| rless(X2,X1)
| X1 = X2 )
| ~ spl57_123
| ~ spl57_139 ),
inference(duplicate_literal_removal,[],[f2460]) ).
fof(f2460,plain,
( ! [X2,X0,X1] :
( ~ rreal(X0)
| ~ rreal(X1)
| ~ rreal(X2)
| ~ rless(X0,X1)
| rless(X0,X2)
| rless(X2,X1)
| X1 = X2
| ~ rreal(X1)
| ~ rreal(X2) )
| ~ spl57_123
| ~ spl57_139 ),
inference(resolution,[],[f2373,f2285]) ).
fof(f2285,plain,
( ! [X3,X1] :
( rless(X3,X1)
| rless(X1,X3)
| X1 = X3
| ~ rreal(X1)
| ~ rreal(X3) )
| ~ spl57_123 ),
inference(avatar_component_clause,[],[f2284]) ).
fof(f12812,plain,
( spl57_484
| ~ spl57_337
| ~ spl57_339 ),
inference(avatar_split_clause,[],[f9133,f8516,f8508,f12809]) ).
fof(f12809,plain,
( spl57_484
<=> vf(sK16(sK5),sK7) = sK21(sK16(sK5),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_484])]) ).
fof(f12807,plain,
( spl57_483
| ~ spl57_44
| ~ spl57_75 ),
inference(avatar_split_clause,[],[f2078,f1999,f1832,f12805]) ).
fof(f12805,plain,
( spl57_483
<=> ! [X0,X3,X2,X1] :
( ~ sP3(X0,X1,X2,X3)
| vd684 = vf(sK52(X0,X1,X2,X3),sK52(X0,X1,X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_483])]) ).
fof(f2078,plain,
( ! [X2,X3,X0,X1] :
( ~ sP3(X0,X1,X2,X3)
| vd684 = vf(sK52(X0,X1,X2,X3),sK52(X0,X1,X2,X3)) )
| ~ spl57_44
| ~ spl57_75 ),
inference(resolution,[],[f2000,f1833]) ).
fof(f12803,plain,
( spl57_482
| ~ spl57_44
| ~ spl57_74 ),
inference(avatar_split_clause,[],[f2076,f1995,f1832,f12801]) ).
fof(f12801,plain,
( spl57_482
<=> ! [X0,X3,X2,X1] :
( ~ sP2(X0,X1,X2,X3)
| vd684 = vf(sK39(X0,X1,X2,X3),sK39(X0,X1,X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_482])]) ).
fof(f2076,plain,
( ! [X2,X3,X0,X1] :
( ~ sP2(X0,X1,X2,X3)
| vd684 = vf(sK39(X0,X1,X2,X3),sK39(X0,X1,X2,X3)) )
| ~ spl57_44
| ~ spl57_74 ),
inference(resolution,[],[f1996,f1833]) ).
fof(f12588,plain,
( spl57_481
| ~ spl57_336
| ~ spl57_337 ),
inference(avatar_split_clause,[],[f9132,f8508,f8504,f12585]) ).
fof(f12585,plain,
( spl57_481
<=> vf(sK16(sK5),sK6) = sK21(sK16(sK5),sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_481])]) ).
fof(f12401,plain,
( spl57_480
| ~ spl57_335
| ~ spl57_337 ),
inference(avatar_split_clause,[],[f9131,f8508,f8500,f12398]) ).
fof(f12398,plain,
( spl57_480
<=> vf(sK16(sK5),vd14) = sK21(sK16(sK5),vd14) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_480])]) ).
fof(f12217,plain,
( spl57_479
| ~ spl57_334
| ~ spl57_337 ),
inference(avatar_split_clause,[],[f9130,f8508,f8496,f12214]) ).
fof(f12214,plain,
( spl57_479
<=> vf(sK16(sK5),vd1409) = sK21(sK16(sK5),vd1409) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_479])]) ).
fof(f11955,plain,
( spl57_478
| ~ spl57_219 ),
inference(avatar_split_clause,[],[f4466,f4320,f11953]) ).
fof(f11953,plain,
( spl57_478
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rcenter(X1,X2)
| ~ rcenter(X1,X3)
| ~ ron(X0,X2)
| ~ ron(X0,X3)
| X2 = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_478])]) ).
fof(f4320,plain,
( spl57_219
<=> ! [X5,X4,X2,X6,X3] :
( X3 = X4
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rcenter(X2,X3)
| ~ rcenter(X2,X4)
| ~ ron(X5,X3)
| ~ ron(X6,X4)
| vf(X2,X5) != vf(X2,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_219])]) ).
fof(f4466,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rcenter(X1,X2)
| ~ rcenter(X1,X3)
| ~ ron(X0,X2)
| ~ ron(X0,X3)
| X2 = X3 )
| ~ spl57_219 ),
inference(duplicate_literal_removal,[],[f4465]) ).
fof(f4465,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X0)
| ~ rcenter(X1,X2)
| ~ rcenter(X1,X3)
| ~ ron(X0,X2)
| ~ ron(X0,X3)
| X2 = X3 )
| ~ spl57_219 ),
inference(equality_resolution,[],[f4321]) ).
fof(f4321,plain,
( ! [X2,X3,X6,X4,X5] :
( vf(X2,X5) != vf(X2,X6)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rcenter(X2,X3)
| ~ rcenter(X2,X4)
| ~ ron(X5,X3)
| ~ ron(X6,X4)
| X3 = X4 )
| ~ spl57_219 ),
inference(avatar_component_clause,[],[f4320]) ).
fof(f11951,plain,
( spl57_477
| ~ spl57_27
| ~ spl57_138 ),
inference(avatar_split_clause,[],[f2444,f2368,f1762,f11949]) ).
fof(f11949,plain,
( spl57_477
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK17(X2)) = sK23(X0,X1,sK17(X2))
| ~ rpoint(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_477])]) ).
fof(f2444,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK17(X2)) = sK23(X0,X1,sK17(X2))
| ~ rpoint(X2) )
| ~ spl57_27
| ~ spl57_138 ),
inference(resolution,[],[f2369,f1763]) ).
fof(f11947,plain,
( spl57_476
| ~ spl57_26
| ~ spl57_138 ),
inference(avatar_split_clause,[],[f2443,f2368,f1758,f11945]) ).
fof(f11945,plain,
( spl57_476
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK16(X2)) = sK23(X0,X1,sK16(X2))
| ~ rline(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_476])]) ).
fof(f2443,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK16(X2)) = sK23(X0,X1,sK16(X2))
| ~ rline(X2) )
| ~ spl57_26
| ~ spl57_138 ),
inference(resolution,[],[f2369,f1759]) ).
fof(f11942,plain,
( spl57_475
| ~ spl57_333
| ~ spl57_337 ),
inference(avatar_split_clause,[],[f9129,f8508,f8492,f11939]) ).
fof(f9129,plain,
( vf(sK8,sK16(sK5)) = vf(sK16(sK5),sK8)
| ~ spl57_333
| ~ spl57_337 ),
inference(resolution,[],[f8509,f8493]) ).
fof(f11937,plain,
( spl57_474
| ~ spl57_24
| ~ spl57_138 ),
inference(avatar_split_clause,[],[f2442,f2368,f1750,f11935]) ).
fof(f11935,plain,
( spl57_474
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK15(X2)) = sK23(X0,X1,sK15(X2))
| ~ rcircle(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_474])]) ).
fof(f1750,plain,
( spl57_24
<=> ! [X1] :
( rpoint(sK15(X1))
| ~ rcircle(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_24])]) ).
fof(f2442,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK15(X2)) = sK23(X0,X1,sK15(X2))
| ~ rcircle(X2) )
| ~ spl57_24
| ~ spl57_138 ),
inference(resolution,[],[f2369,f1751]) ).
fof(f1751,plain,
( ! [X1] :
( rpoint(sK15(X1))
| ~ rcircle(X1) )
| ~ spl57_24 ),
inference(avatar_component_clause,[],[f1750]) ).
fof(f11933,plain,
( spl57_473
| ~ spl57_23
| ~ spl57_138 ),
inference(avatar_split_clause,[],[f2441,f2368,f1746,f11931]) ).
fof(f11931,plain,
( spl57_473
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK14(X2)) = sK23(X0,X1,sK14(X2))
| ~ rcircle(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_473])]) ).
fof(f1746,plain,
( spl57_23
<=> ! [X1] :
( rpoint(sK14(X1))
| ~ rcircle(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_23])]) ).
fof(f2441,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK14(X2)) = sK23(X0,X1,sK14(X2))
| ~ rcircle(X2) )
| ~ spl57_23
| ~ spl57_138 ),
inference(resolution,[],[f2369,f1747]) ).
fof(f1747,plain,
( ! [X1] :
( rpoint(sK14(X1))
| ~ rcircle(X1) )
| ~ spl57_23 ),
inference(avatar_component_clause,[],[f1746]) ).
fof(f11929,plain,
( spl57_472
| ~ spl57_22
| ~ spl57_138 ),
inference(avatar_split_clause,[],[f2440,f2368,f1742,f11927]) ).
fof(f11927,plain,
( spl57_472
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK13(X2)) = sK23(X0,X1,sK13(X2))
| ~ rcircle(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_472])]) ).
fof(f1742,plain,
( spl57_22
<=> ! [X1] :
( rpoint(sK13(X1))
| ~ rcircle(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_22])]) ).
fof(f2440,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK13(X2)) = sK23(X0,X1,sK13(X2))
| ~ rcircle(X2) )
| ~ spl57_22
| ~ spl57_138 ),
inference(resolution,[],[f2369,f1743]) ).
fof(f1743,plain,
( ! [X1] :
( rpoint(sK13(X1))
| ~ rcircle(X1) )
| ~ spl57_22 ),
inference(avatar_component_clause,[],[f1742]) ).
fof(f11925,plain,
( spl57_471
| ~ spl57_27
| ~ spl57_137 ),
inference(avatar_split_clause,[],[f2417,f2364,f1762,f11923]) ).
fof(f11923,plain,
( spl57_471
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK17(X2)) = vg(X0,sK17(X2),X1)
| ~ rpoint(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_471])]) ).
fof(f2417,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK17(X2)) = vg(X0,sK17(X2),X1)
| ~ rpoint(X2) )
| ~ spl57_27
| ~ spl57_137 ),
inference(resolution,[],[f2365,f1763]) ).
fof(f11921,plain,
( spl57_470
| ~ spl57_26
| ~ spl57_137 ),
inference(avatar_split_clause,[],[f2416,f2364,f1758,f11919]) ).
fof(f11919,plain,
( spl57_470
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK16(X2)) = vg(X0,sK16(X2),X1)
| ~ rline(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_470])]) ).
fof(f2416,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK16(X2)) = vg(X0,sK16(X2),X1)
| ~ rline(X2) )
| ~ spl57_26
| ~ spl57_137 ),
inference(resolution,[],[f2365,f1759]) ).
fof(f11917,plain,
( spl57_469
| ~ spl57_24
| ~ spl57_137 ),
inference(avatar_split_clause,[],[f2415,f2364,f1750,f11915]) ).
fof(f11915,plain,
( spl57_469
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK15(X2)) = vg(X0,sK15(X2),X1)
| ~ rcircle(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_469])]) ).
fof(f2415,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK15(X2)) = vg(X0,sK15(X2),X1)
| ~ rcircle(X2) )
| ~ spl57_24
| ~ spl57_137 ),
inference(resolution,[],[f2365,f1751]) ).
fof(f11913,plain,
( spl57_468
| ~ spl57_23
| ~ spl57_137 ),
inference(avatar_split_clause,[],[f2414,f2364,f1746,f11911]) ).
fof(f11911,plain,
( spl57_468
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK14(X2)) = vg(X0,sK14(X2),X1)
| ~ rcircle(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_468])]) ).
fof(f2414,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK14(X2)) = vg(X0,sK14(X2),X1)
| ~ rcircle(X2) )
| ~ spl57_23
| ~ spl57_137 ),
inference(resolution,[],[f2365,f1747]) ).
fof(f11909,plain,
( spl57_467
| ~ spl57_22
| ~ spl57_137 ),
inference(avatar_split_clause,[],[f2413,f2364,f1742,f11907]) ).
fof(f11907,plain,
( spl57_467
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK13(X2)) = vg(X0,sK13(X2),X1)
| ~ rcircle(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_467])]) ).
fof(f2413,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK13(X2)) = vg(X0,sK13(X2),X1)
| ~ rcircle(X2) )
| ~ spl57_22
| ~ spl57_137 ),
inference(resolution,[],[f2365,f1743]) ).
fof(f11905,plain,
( spl57_466
| ~ spl57_27
| ~ spl57_135 ),
inference(avatar_split_clause,[],[f2390,f2356,f1762,f11903]) ).
fof(f11903,plain,
( spl57_466
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK17(X2)) = vg(sK17(X2),X0,X1)
| ~ rpoint(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_466])]) ).
fof(f2390,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK17(X2)) = vg(sK17(X2),X0,X1)
| ~ rpoint(X2) )
| ~ spl57_27
| ~ spl57_135 ),
inference(resolution,[],[f2357,f1763]) ).
fof(f11901,plain,
( spl57_465
| ~ spl57_26
| ~ spl57_135 ),
inference(avatar_split_clause,[],[f2389,f2356,f1758,f11899]) ).
fof(f11899,plain,
( spl57_465
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK16(X2)) = vg(sK16(X2),X0,X1)
| ~ rline(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_465])]) ).
fof(f2389,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK16(X2)) = vg(sK16(X2),X0,X1)
| ~ rline(X2) )
| ~ spl57_26
| ~ spl57_135 ),
inference(resolution,[],[f2357,f1759]) ).
fof(f11896,plain,
( spl57_464
| ~ spl57_332
| ~ spl57_337 ),
inference(avatar_split_clause,[],[f9128,f8508,f8488,f11893]) ).
fof(f9128,plain,
( vf(sK7,sK16(sK5)) = vf(sK16(sK5),sK7)
| ~ spl57_332
| ~ spl57_337 ),
inference(resolution,[],[f8509,f8489]) ).
fof(f11891,plain,
( spl57_463
| ~ spl57_24
| ~ spl57_135 ),
inference(avatar_split_clause,[],[f2388,f2356,f1750,f11889]) ).
fof(f11889,plain,
( spl57_463
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK15(X2)) = vg(sK15(X2),X0,X1)
| ~ rcircle(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_463])]) ).
fof(f2388,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK15(X2)) = vg(sK15(X2),X0,X1)
| ~ rcircle(X2) )
| ~ spl57_24
| ~ spl57_135 ),
inference(resolution,[],[f2357,f1751]) ).
fof(f11887,plain,
( spl57_462
| ~ spl57_23
| ~ spl57_135 ),
inference(avatar_split_clause,[],[f2387,f2356,f1746,f11885]) ).
fof(f11885,plain,
( spl57_462
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK14(X2)) = vg(sK14(X2),X0,X1)
| ~ rcircle(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_462])]) ).
fof(f2387,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK14(X2)) = vg(sK14(X2),X0,X1)
| ~ rcircle(X2) )
| ~ spl57_23
| ~ spl57_135 ),
inference(resolution,[],[f2357,f1747]) ).
fof(f11883,plain,
( spl57_461
| ~ spl57_22
| ~ spl57_135 ),
inference(avatar_split_clause,[],[f2386,f2356,f1742,f11881]) ).
fof(f11881,plain,
( spl57_461
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK13(X2)) = vg(sK13(X2),X0,X1)
| ~ rcircle(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_461])]) ).
fof(f2386,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK13(X2)) = vg(sK13(X2),X0,X1)
| ~ rcircle(X2) )
| ~ spl57_22
| ~ spl57_135 ),
inference(resolution,[],[f2357,f1743]) ).
fof(f11879,plain,
( spl57_460
| ~ spl57_126
| ~ spl57_134 ),
inference(avatar_split_clause,[],[f2353,f2346,f2296,f11877]) ).
fof(f11877,plain,
( spl57_460
<=> ! [X0,X1] :
( ~ rpoint(sK27(X0,X1))
| ~ rpoint(X1)
| ~ rline(X0)
| rS(X1,sK27(X0,X1),X0)
| ron(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_460])]) ).
fof(f2353,plain,
( ! [X0,X1] :
( ~ rpoint(sK27(X0,X1))
| ~ rpoint(X1)
| ~ rline(X0)
| rS(X1,sK27(X0,X1),X0)
| ron(X1,X0) )
| ~ spl57_126
| ~ spl57_134 ),
inference(duplicate_literal_removal,[],[f2351]) ).
fof(f2351,plain,
( ! [X0,X1] :
( ~ rpoint(sK27(X0,X1))
| ~ rpoint(X1)
| ~ rline(X0)
| rS(X1,sK27(X0,X1),X0)
| ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0) )
| ~ spl57_126
| ~ spl57_134 ),
inference(resolution,[],[f2347,f2297]) ).
fof(f11875,plain,
( spl57_459
| ~ spl57_70
| ~ spl57_93 ),
inference(avatar_split_clause,[],[f2154,f2072,f1960,f11873]) ).
fof(f2154,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ ron(X1,X0)
| ~ rpoint(X2)
| vd684 = vg(X2,X2,sK35(X0,X1)) )
| ~ spl57_70
| ~ spl57_93 ),
inference(resolution,[],[f2073,f1961]) ).
fof(f11871,plain,
( spl57_458
| ~ spl57_70
| ~ spl57_92 ),
inference(avatar_split_clause,[],[f2150,f2068,f1960,f11869]) ).
fof(f11869,plain,
( spl57_458
<=> ! [X2,X0,X1] :
( ~ rcircle(X0)
| ~ rpoint(X1)
| ~ ron(X1,X0)
| ~ rpoint(X2)
| vd684 = vg(X2,X2,sK34(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_458])]) ).
fof(f2150,plain,
( ! [X2,X0,X1] :
( ~ rcircle(X0)
| ~ rpoint(X1)
| ~ ron(X1,X0)
| ~ rpoint(X2)
| vd684 = vg(X2,X2,sK34(X0,X1)) )
| ~ spl57_70
| ~ spl57_92 ),
inference(resolution,[],[f2069,f1961]) ).
fof(f11867,plain,
( spl57_457
| ~ spl57_70
| ~ spl57_91 ),
inference(avatar_split_clause,[],[f2146,f2064,f1960,f11865]) ).
fof(f11865,plain,
( spl57_457
<=> ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rline(X1)
| ~ rintersect(X0,X1)
| ~ rpoint(X2)
| vd684 = vg(X2,X2,sK33(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_457])]) ).
fof(f2146,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rline(X1)
| ~ rintersect(X0,X1)
| ~ rpoint(X2)
| vd684 = vg(X2,X2,sK33(X0,X1)) )
| ~ spl57_70
| ~ spl57_91 ),
inference(resolution,[],[f2065,f1961]) ).
fof(f11863,plain,
( spl57_456
| ~ spl57_70
| ~ spl57_90 ),
inference(avatar_split_clause,[],[f2142,f2060,f1960,f11861]) ).
fof(f11861,plain,
( spl57_456
<=> ! [X2,X0,X1] :
( ~ rcircle(X0)
| ~ rline(X1)
| ~ rintersect(X1,X0)
| ~ rpoint(X2)
| vd684 = vg(X2,X2,sK30(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_456])]) ).
fof(f2142,plain,
( ! [X2,X0,X1] :
( ~ rcircle(X0)
| ~ rline(X1)
| ~ rintersect(X1,X0)
| ~ rpoint(X2)
| vd684 = vg(X2,X2,sK30(X0,X1)) )
| ~ spl57_70
| ~ spl57_90 ),
inference(resolution,[],[f2061,f1961]) ).
fof(f11859,plain,
( spl57_455
| ~ spl57_70
| ~ spl57_89 ),
inference(avatar_split_clause,[],[f2138,f2056,f1960,f11857]) ).
fof(f11857,plain,
( spl57_455
<=> ! [X2,X0,X1] :
( ~ rcircle(X0)
| ~ rcircle(X1)
| ~ rintersect(X0,X1)
| ~ rpoint(X2)
| vd684 = vg(X2,X2,sK29(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_455])]) ).
fof(f2138,plain,
( ! [X2,X0,X1] :
( ~ rcircle(X0)
| ~ rcircle(X1)
| ~ rintersect(X0,X1)
| ~ rpoint(X2)
| vd684 = vg(X2,X2,sK29(X0,X1)) )
| ~ spl57_70
| ~ spl57_89 ),
inference(resolution,[],[f2057,f1961]) ).
fof(f11855,plain,
( spl57_454
| ~ spl57_70
| ~ spl57_87 ),
inference(avatar_split_clause,[],[f2134,f2048,f1960,f11853]) ).
fof(f11853,plain,
( spl57_454
<=> ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| ~ rpoint(X2)
| vd684 = vg(X2,X2,sK28(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_454])]) ).
fof(f2134,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| ~ rpoint(X2)
| vd684 = vg(X2,X2,sK28(X0,X1)) )
| ~ spl57_70
| ~ spl57_87 ),
inference(resolution,[],[f2049,f1961]) ).
fof(f11850,plain,
( spl57_453
| ~ spl57_331
| ~ spl57_337 ),
inference(avatar_split_clause,[],[f9127,f8508,f8484,f11847]) ).
fof(f9127,plain,
( vf(sK6,sK16(sK5)) = vf(sK16(sK5),sK6)
| ~ spl57_331
| ~ spl57_337 ),
inference(resolution,[],[f8509,f8485]) ).
fof(f11845,plain,
( spl57_452
| ~ spl57_70
| ~ spl57_86 ),
inference(avatar_split_clause,[],[f2130,f2044,f1960,f11843]) ).
fof(f11843,plain,
( spl57_452
<=> ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| ~ rpoint(X2)
| vd684 = vg(X2,X2,sK27(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_452])]) ).
fof(f2130,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| ~ rpoint(X2)
| vd684 = vg(X2,X2,sK27(X0,X1)) )
| ~ spl57_70
| ~ spl57_86 ),
inference(resolution,[],[f2045,f1961]) ).
fof(f11841,plain,
( spl57_451
| ~ spl57_59
| ~ spl57_85 ),
inference(avatar_split_clause,[],[f2127,f2040,f1910,f11839]) ).
fof(f11839,plain,
( spl57_451
<=> ! [X2,X0,X1] :
( ~ rreal(X0)
| vplus(X0,sK26(X1,X2)) = sK26(X0,sK26(X1,X2))
| ~ rreal(X1)
| ~ rreal(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_451])]) ).
fof(f1910,plain,
( spl57_59
<=> ! [X1,X3] :
( rreal(sK26(X1,X3))
| ~ rreal(X1)
| ~ rreal(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_59])]) ).
fof(f2127,plain,
( ! [X2,X0,X1] :
( ~ rreal(X0)
| vplus(X0,sK26(X1,X2)) = sK26(X0,sK26(X1,X2))
| ~ rreal(X1)
| ~ rreal(X2) )
| ~ spl57_59
| ~ spl57_85 ),
inference(resolution,[],[f2041,f1911]) ).
fof(f1911,plain,
( ! [X3,X1] :
( rreal(sK26(X1,X3))
| ~ rreal(X1)
| ~ rreal(X3) )
| ~ spl57_59 ),
inference(avatar_component_clause,[],[f1910]) ).
fof(f11837,plain,
( spl57_450
| ~ spl57_58
| ~ spl57_85 ),
inference(avatar_split_clause,[],[f2125,f2040,f1906,f11835]) ).
fof(f11835,plain,
( spl57_450
<=> ! [X2,X0,X1] :
( ~ rreal(X0)
| vplus(X0,sK21(X1,X2)) = sK26(X0,sK21(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_450])]) ).
fof(f1906,plain,
( spl57_58
<=> ! [X4,X3] :
( rreal(sK21(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_58])]) ).
fof(f2125,plain,
( ! [X2,X0,X1] :
( ~ rreal(X0)
| vplus(X0,sK21(X1,X2)) = sK26(X0,sK21(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) )
| ~ spl57_58
| ~ spl57_85 ),
inference(resolution,[],[f2041,f1907]) ).
fof(f1907,plain,
( ! [X3,X4] :
( rreal(sK21(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4) )
| ~ spl57_58 ),
inference(avatar_component_clause,[],[f1906]) ).
fof(f11833,plain,
( spl57_449
| ~ spl57_59
| ~ spl57_84 ),
inference(avatar_split_clause,[],[f2123,f2036,f1910,f11831]) ).
fof(f11831,plain,
( spl57_449
<=> ! [X2,X0,X1] :
( ~ rreal(X0)
| vplus(X0,sK26(X1,X2)) = vplus(sK26(X1,X2),X0)
| ~ rreal(X1)
| ~ rreal(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_449])]) ).
fof(f2123,plain,
( ! [X2,X0,X1] :
( ~ rreal(X0)
| vplus(X0,sK26(X1,X2)) = vplus(sK26(X1,X2),X0)
| ~ rreal(X1)
| ~ rreal(X2) )
| ~ spl57_59
| ~ spl57_84 ),
inference(resolution,[],[f2037,f1911]) ).
fof(f11829,plain,
( spl57_448
| ~ spl57_58
| ~ spl57_84 ),
inference(avatar_split_clause,[],[f2121,f2036,f1906,f11827]) ).
fof(f11827,plain,
( spl57_448
<=> ! [X2,X0,X1] :
( ~ rreal(X0)
| vplus(X0,sK21(X1,X2)) = vplus(sK21(X1,X2),X0)
| ~ rpoint(X1)
| ~ rpoint(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_448])]) ).
fof(f2121,plain,
( ! [X2,X0,X1] :
( ~ rreal(X0)
| vplus(X0,sK21(X1,X2)) = vplus(sK21(X1,X2),X0)
| ~ rpoint(X1)
| ~ rpoint(X2) )
| ~ spl57_58
| ~ spl57_84 ),
inference(resolution,[],[f2037,f1907]) ).
fof(f11825,plain,
( spl57_447
| ~ spl57_43
| ~ spl57_82 ),
inference(avatar_split_clause,[],[f2119,f2028,f1828,f11823]) ).
fof(f11823,plain,
( spl57_447
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| sK23(X0,X1,X2) = vplus(sK23(X0,X1,X2),vd684) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_447])]) ).
fof(f1828,plain,
( spl57_43
<=> ! [X1] :
( vplus(X1,vd684) = X1
| ~ rreal(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_43])]) ).
fof(f2119,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| sK23(X0,X1,X2) = vplus(sK23(X0,X1,X2),vd684) )
| ~ spl57_43
| ~ spl57_82 ),
inference(resolution,[],[f2029,f1829]) ).
fof(f1829,plain,
( ! [X1] :
( ~ rreal(X1)
| vplus(X1,vd684) = X1 )
| ~ spl57_43 ),
inference(avatar_component_clause,[],[f1828]) ).
fof(f11821,plain,
( spl57_446
| ~ spl57_44
| ~ spl57_81 ),
inference(avatar_split_clause,[],[f2118,f2024,f1832,f11819]) ).
fof(f11819,plain,
( spl57_446
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| vd684 = vf(sK22(X0,X1,X2),sK22(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_446])]) ).
fof(f2118,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| vd684 = vf(sK22(X0,X1,X2),sK22(X0,X1,X2)) )
| ~ spl57_44
| ~ spl57_81 ),
inference(resolution,[],[f2025,f1833]) ).
fof(f11817,plain,
( spl57_445
| ~ spl57_70
| ~ spl57_81 ),
inference(avatar_split_clause,[],[f2117,f2024,f1960,f11815]) ).
fof(f11815,plain,
( spl57_445
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| vd684 = vg(X3,X3,sK22(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_445])]) ).
fof(f2117,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| vd684 = vg(X3,X3,sK22(X0,X1,X2)) )
| ~ spl57_70
| ~ spl57_81 ),
inference(resolution,[],[f2025,f1961]) ).
fof(f11813,plain,
( spl57_444
| ~ spl57_56
| ~ spl57_80 ),
inference(avatar_split_clause,[],[f2110,f2020,f1897,f11811]) ).
fof(f11811,plain,
( spl57_444
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK20(X1,X2)) = sK21(X0,sK20(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_444])]) ).
fof(f2110,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK20(X1,X2)) = sK21(X0,sK20(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) )
| ~ spl57_56
| ~ spl57_80 ),
inference(resolution,[],[f2021,f1898]) ).
fof(f11809,plain,
( spl57_443
| ~ spl57_56
| ~ spl57_79 ),
inference(avatar_split_clause,[],[f2092,f2016,f1897,f11807]) ).
fof(f11807,plain,
( spl57_443
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(sK20(X1,X2),X0) = vf(X0,sK20(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_443])]) ).
fof(f2092,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(sK20(X1,X2),X0) = vf(X0,sK20(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) )
| ~ spl57_56
| ~ spl57_79 ),
inference(resolution,[],[f2017,f1898]) ).
fof(f11804,plain,
( spl57_442
| ~ spl57_330
| ~ spl57_337 ),
inference(avatar_split_clause,[],[f9126,f8508,f8480,f11801]) ).
fof(f9126,plain,
( vf(vd14,sK16(sK5)) = vf(sK16(sK5),vd14)
| ~ spl57_330
| ~ spl57_337 ),
inference(resolution,[],[f8509,f8481]) ).
fof(f11799,plain,
( spl57_441
| ~ spl57_70
| ~ spl57_75 ),
inference(avatar_split_clause,[],[f2077,f1999,f1960,f11797]) ).
fof(f11797,plain,
( spl57_441
<=> ! [X4,X0,X3,X2,X1] :
( ~ sP3(X0,X1,X2,X3)
| ~ rpoint(X4)
| vd684 = vg(X4,X4,sK52(X0,X1,X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_441])]) ).
fof(f2077,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sP3(X0,X1,X2,X3)
| ~ rpoint(X4)
| vd684 = vg(X4,X4,sK52(X0,X1,X2,X3)) )
| ~ spl57_70
| ~ spl57_75 ),
inference(resolution,[],[f2000,f1961]) ).
fof(f11795,plain,
( spl57_440
| ~ spl57_70
| ~ spl57_74 ),
inference(avatar_split_clause,[],[f2075,f1995,f1960,f11793]) ).
fof(f11793,plain,
( spl57_440
<=> ! [X4,X0,X3,X2,X1] :
( ~ sP2(X0,X1,X2,X3)
| ~ rpoint(X4)
| vd684 = vg(X4,X4,sK39(X0,X1,X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_440])]) ).
fof(f2075,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sP2(X0,X1,X2,X3)
| ~ rpoint(X4)
| vd684 = vg(X4,X4,sK39(X0,X1,X2,X3)) )
| ~ spl57_70
| ~ spl57_74 ),
inference(resolution,[],[f1996,f1961]) ).
fof(f11392,plain,
( spl57_439
| ~ spl57_329
| ~ spl57_337 ),
inference(avatar_split_clause,[],[f9125,f8508,f8476,f11389]) ).
fof(f9125,plain,
( vf(vd1409,sK16(sK5)) = vf(sK16(sK5),vd1409)
| ~ spl57_329
| ~ spl57_337 ),
inference(resolution,[],[f8509,f8477]) ).
fof(f11194,plain,
( spl57_438
| ~ spl57_327
| ~ spl57_337 ),
inference(avatar_split_clause,[],[f9124,f8508,f8468,f11191]) ).
fof(f11191,plain,
( spl57_438
<=> vd684 = vf(sK17(sK16(sK5)),sK17(sK16(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_438])]) ).
fof(f9124,plain,
( vd684 = vf(sK17(sK16(sK5)),sK17(sK16(sK5)))
| ~ spl57_327
| ~ spl57_337 ),
inference(resolution,[],[f8509,f8469]) ).
fof(f11175,plain,
( ~ spl57_8
| ~ spl57_7
| spl57_437
| ~ spl57_9
| ~ spl57_21
| ~ spl57_168 ),
inference(avatar_split_clause,[],[f2795,f2758,f1737,f1677,f11173,f1667,f1672]) ).
fof(f11173,plain,
( spl57_437
<=> ! [X0] :
( ~ rpoint(X0)
| rS(X0,vd1409,vd1407)
| ~ rS(sK8,X0,vd1407) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_437])]) ).
fof(f2795,plain,
( ! [X0] :
( ~ rpoint(sK8)
| ~ rpoint(X0)
| ~ rpoint(vd1409)
| ~ rline(vd1407)
| ~ rS(sK8,X0,vd1407)
| rS(X0,vd1409,vd1407) )
| ~ spl57_21
| ~ spl57_168 ),
inference(resolution,[],[f2759,f1739]) ).
fof(f11119,plain,
( ~ spl57_10
| spl57_436
| ~ spl57_8
| ~ spl57_18
| ~ spl57_156 ),
inference(avatar_split_clause,[],[f2708,f2624,f1722,f1672,f11117,f1682]) ).
fof(f11117,plain,
( spl57_436
<=> ! [X0] :
( ~ rpoint(X0)
| sK7 = X0
| rpoint(sK25(X0,sK7))
| ~ ron(X0,vd1407) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_436])]) ).
fof(f2708,plain,
( ! [X0] :
( ~ rline(vd1407)
| ~ rpoint(X0)
| ~ rpoint(sK7)
| ~ ron(X0,vd1407)
| rpoint(sK25(X0,sK7))
| sK7 = X0 )
| ~ spl57_18
| ~ spl57_156 ),
inference(resolution,[],[f2625,f1724]) ).
fof(f11115,plain,
( spl57_435
| ~ spl57_70
| ~ spl57_337 ),
inference(avatar_split_clause,[],[f9109,f8508,f1960,f11113]) ).
fof(f9109,plain,
( ! [X0] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK16(sK5)) )
| ~ spl57_70
| ~ spl57_337 ),
inference(resolution,[],[f8509,f1961]) ).
fof(f11059,plain,
( ~ spl57_11
| spl57_434
| ~ spl57_8
| ~ spl57_17
| ~ spl57_156 ),
inference(avatar_split_clause,[],[f2707,f2624,f1717,f1672,f11057,f1687]) ).
fof(f11057,plain,
( spl57_434
<=> ! [X0] :
( ~ rpoint(X0)
| sK6 = X0
| rpoint(sK25(X0,sK6))
| ~ ron(X0,vd1407) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_434])]) ).
fof(f2707,plain,
( ! [X0] :
( ~ rline(vd1407)
| ~ rpoint(X0)
| ~ rpoint(sK6)
| ~ ron(X0,vd1407)
| rpoint(sK25(X0,sK6))
| sK6 = X0 )
| ~ spl57_17
| ~ spl57_156 ),
inference(resolution,[],[f2625,f1719]) ).
fof(f11003,plain,
( ~ spl57_11
| spl57_433
| ~ spl57_12
| ~ spl57_20
| ~ spl57_156 ),
inference(avatar_split_clause,[],[f2706,f2624,f1732,f1692,f11001,f1687]) ).
fof(f11001,plain,
( spl57_433
<=> ! [X0] :
( ~ rpoint(X0)
| sK6 = X0
| rpoint(sK25(X0,sK6))
| ~ ron(X0,vd1416) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_433])]) ).
fof(f2706,plain,
( ! [X0] :
( ~ rline(vd1416)
| ~ rpoint(X0)
| ~ rpoint(sK6)
| ~ ron(X0,vd1416)
| rpoint(sK25(X0,sK6))
| sK6 = X0 )
| ~ spl57_20
| ~ spl57_156 ),
inference(resolution,[],[f2625,f1734]) ).
fof(f10947,plain,
( ~ spl57_9
| spl57_432
| ~ spl57_12
| ~ spl57_19
| ~ spl57_156 ),
inference(avatar_split_clause,[],[f2705,f2624,f1727,f1692,f10945,f1677]) ).
fof(f10945,plain,
( spl57_432
<=> ! [X0] :
( ~ rpoint(X0)
| sK8 = X0
| rpoint(sK25(X0,sK8))
| ~ ron(X0,vd1416) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_432])]) ).
fof(f2705,plain,
( ! [X0] :
( ~ rline(vd1416)
| ~ rpoint(X0)
| ~ rpoint(sK8)
| ~ ron(X0,vd1416)
| rpoint(sK25(X0,sK8))
| sK8 = X0 )
| ~ spl57_19
| ~ spl57_156 ),
inference(resolution,[],[f2625,f1729]) ).
fof(f10891,plain,
( ~ spl57_10
| spl57_431
| ~ spl57_8
| ~ spl57_18
| ~ spl57_155 ),
inference(avatar_split_clause,[],[f2666,f2620,f1722,f1672,f10889,f1682]) ).
fof(f10889,plain,
( spl57_431
<=> ! [X0] :
( ~ rpoint(X0)
| sK7 = X0
| rpoint(sK24(X0,sK7))
| ~ ron(X0,vd1407) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_431])]) ).
fof(f2666,plain,
( ! [X0] :
( ~ rline(vd1407)
| ~ rpoint(X0)
| ~ rpoint(sK7)
| ~ ron(X0,vd1407)
| rpoint(sK24(X0,sK7))
| sK7 = X0 )
| ~ spl57_18
| ~ spl57_155 ),
inference(resolution,[],[f2621,f1724]) ).
fof(f10835,plain,
( ~ spl57_11
| spl57_430
| ~ spl57_8
| ~ spl57_17
| ~ spl57_155 ),
inference(avatar_split_clause,[],[f2665,f2620,f1717,f1672,f10833,f1687]) ).
fof(f10833,plain,
( spl57_430
<=> ! [X0] :
( ~ rpoint(X0)
| sK6 = X0
| rpoint(sK24(X0,sK6))
| ~ ron(X0,vd1407) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_430])]) ).
fof(f2665,plain,
( ! [X0] :
( ~ rline(vd1407)
| ~ rpoint(X0)
| ~ rpoint(sK6)
| ~ ron(X0,vd1407)
| rpoint(sK24(X0,sK6))
| sK6 = X0 )
| ~ spl57_17
| ~ spl57_155 ),
inference(resolution,[],[f2621,f1719]) ).
fof(f10774,plain,
( ~ spl57_11
| spl57_429
| ~ spl57_12
| ~ spl57_20
| ~ spl57_155 ),
inference(avatar_split_clause,[],[f2664,f2620,f1732,f1692,f10772,f1687]) ).
fof(f10772,plain,
( spl57_429
<=> ! [X0] :
( ~ rpoint(X0)
| sK6 = X0
| rpoint(sK24(X0,sK6))
| ~ ron(X0,vd1416) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_429])]) ).
fof(f2664,plain,
( ! [X0] :
( ~ rline(vd1416)
| ~ rpoint(X0)
| ~ rpoint(sK6)
| ~ ron(X0,vd1416)
| rpoint(sK24(X0,sK6))
| sK6 = X0 )
| ~ spl57_20
| ~ spl57_155 ),
inference(resolution,[],[f2621,f1734]) ).
fof(f10718,plain,
( ~ spl57_9
| spl57_428
| ~ spl57_12
| ~ spl57_19
| ~ spl57_155 ),
inference(avatar_split_clause,[],[f2663,f2620,f1727,f1692,f10716,f1677]) ).
fof(f10716,plain,
( spl57_428
<=> ! [X0] :
( ~ rpoint(X0)
| sK8 = X0
| rpoint(sK24(X0,sK8))
| ~ ron(X0,vd1416) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_428])]) ).
fof(f2663,plain,
( ! [X0] :
( ~ rline(vd1416)
| ~ rpoint(X0)
| ~ rpoint(sK8)
| ~ ron(X0,vd1416)
| rpoint(sK24(X0,sK8))
| sK8 = X0 )
| ~ spl57_19
| ~ spl57_155 ),
inference(resolution,[],[f2621,f1729]) ).
fof(f10714,plain,
( spl57_427
| ~ spl57_9
| ~ spl57_145 ),
inference(avatar_split_clause,[],[f2581,f2540,f1677,f10712]) ).
fof(f10712,plain,
( spl57_427
<=> ! [X0] :
( ~ rpoint(X0)
| vf(X0,sK8) = vf(sK8,vskolem1052(X0,X0,sK8,sK8))
| sK8 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_427])]) ).
fof(f2581,plain,
( ! [X0] :
( ~ rpoint(X0)
| vf(X0,sK8) = vf(sK8,vskolem1052(X0,X0,sK8,sK8))
| sK8 = X0 )
| ~ spl57_9
| ~ spl57_145 ),
inference(resolution,[],[f2541,f1679]) ).
fof(f10710,plain,
( spl57_426
| ~ spl57_10
| ~ spl57_145 ),
inference(avatar_split_clause,[],[f2580,f2540,f1682,f10708]) ).
fof(f10708,plain,
( spl57_426
<=> ! [X0] :
( ~ rpoint(X0)
| vf(X0,sK7) = vf(sK7,vskolem1052(X0,X0,sK7,sK7))
| sK7 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_426])]) ).
fof(f2580,plain,
( ! [X0] :
( ~ rpoint(X0)
| vf(X0,sK7) = vf(sK7,vskolem1052(X0,X0,sK7,sK7))
| sK7 = X0 )
| ~ spl57_10
| ~ spl57_145 ),
inference(resolution,[],[f2541,f1684]) ).
fof(f10706,plain,
( spl57_425
| ~ spl57_11
| ~ spl57_145 ),
inference(avatar_split_clause,[],[f2579,f2540,f1687,f10704]) ).
fof(f10704,plain,
( spl57_425
<=> ! [X0] :
( ~ rpoint(X0)
| vf(X0,sK6) = vf(sK6,vskolem1052(X0,X0,sK6,sK6))
| sK6 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_425])]) ).
fof(f2579,plain,
( ! [X0] :
( ~ rpoint(X0)
| vf(X0,sK6) = vf(sK6,vskolem1052(X0,X0,sK6,sK6))
| sK6 = X0 )
| ~ spl57_11
| ~ spl57_145 ),
inference(resolution,[],[f2541,f1689]) ).
fof(f10702,plain,
( spl57_424
| ~ spl57_6
| ~ spl57_145 ),
inference(avatar_split_clause,[],[f2578,f2540,f1662,f10700]) ).
fof(f10700,plain,
( spl57_424
<=> ! [X0] :
( ~ rpoint(X0)
| vf(X0,vd14) = vf(vd14,vskolem1052(X0,X0,vd14,vd14))
| vd14 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_424])]) ).
fof(f2578,plain,
( ! [X0] :
( ~ rpoint(X0)
| vf(X0,vd14) = vf(vd14,vskolem1052(X0,X0,vd14,vd14))
| vd14 = X0 )
| ~ spl57_6
| ~ spl57_145 ),
inference(resolution,[],[f2541,f1664]) ).
fof(f10698,plain,
( spl57_423
| ~ spl57_7
| ~ spl57_145 ),
inference(avatar_split_clause,[],[f2576,f2540,f1667,f10696]) ).
fof(f10696,plain,
( spl57_423
<=> ! [X0] :
( ~ rpoint(X0)
| vf(X0,vd1409) = vf(vd1409,vskolem1052(X0,X0,vd1409,vd1409))
| vd1409 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_423])]) ).
fof(f2576,plain,
( ! [X0] :
( ~ rpoint(X0)
| vf(X0,vd1409) = vf(vd1409,vskolem1052(X0,X0,vd1409,vd1409))
| vd1409 = X0 )
| ~ spl57_7
| ~ spl57_145 ),
inference(resolution,[],[f2541,f1669]) ).
fof(f10694,plain,
( spl57_422
| ~ spl57_126
| ~ spl57_129 ),
inference(avatar_split_clause,[],[f2335,f2308,f2296,f10692]) ).
fof(f10692,plain,
( spl57_422
<=> ! [X0,X1] :
( ~ rpoint(sK27(X0,X1))
| ~ rpoint(X1)
| ~ rline(X0)
| ~ ron(sK27(X0,X1),X0)
| ron(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_422])]) ).
fof(f2335,plain,
( ! [X0,X1] :
( ~ rpoint(sK27(X0,X1))
| ~ rpoint(X1)
| ~ rline(X0)
| ~ ron(sK27(X0,X1),X0)
| ron(X1,X0) )
| ~ spl57_126
| ~ spl57_129 ),
inference(duplicate_literal_removal,[],[f2333]) ).
fof(f2333,plain,
( ! [X0,X1] :
( ~ rpoint(sK27(X0,X1))
| ~ rpoint(X1)
| ~ rline(X0)
| ~ ron(sK27(X0,X1),X0)
| ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0) )
| ~ spl57_126
| ~ spl57_129 ),
inference(resolution,[],[f2309,f2297]) ).
fof(f10687,plain,
( spl57_421
| ~ spl57_45
| ~ spl57_101 ),
inference(avatar_split_clause,[],[f2262,f2185,f1852,f10685]) ).
fof(f10685,plain,
( spl57_421
<=> ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1
| sK11(X0,X1) = sK10(X0,sK11(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_421])]) ).
fof(f1852,plain,
( spl57_45
<=> ! [X0,X1] :
( sK10(X0,X1) = X1
| ~ rcenter(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_45])]) ).
fof(f2262,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1
| sK11(X0,X1) = sK10(X0,sK11(X0,X1)) )
| ~ spl57_45
| ~ spl57_101 ),
inference(resolution,[],[f2186,f1853]) ).
fof(f1853,plain,
( ! [X0,X1] :
( ~ rcenter(X0,X1)
| sK10(X0,X1) = X1 )
| ~ spl57_45 ),
inference(avatar_component_clause,[],[f1852]) ).
fof(f10683,plain,
( spl57_420
| ~ spl57_44
| ~ spl57_93 ),
inference(avatar_split_clause,[],[f2155,f2072,f1832,f10681]) ).
fof(f2155,plain,
( ! [X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ ron(X1,X0)
| vd684 = vf(sK35(X0,X1),sK35(X0,X1)) )
| ~ spl57_44
| ~ spl57_93 ),
inference(resolution,[],[f2073,f1833]) ).
fof(f10679,plain,
( spl57_419
| ~ spl57_44
| ~ spl57_92 ),
inference(avatar_split_clause,[],[f2151,f2068,f1832,f10677]) ).
fof(f10677,plain,
( spl57_419
<=> ! [X0,X1] :
( ~ rcircle(X0)
| ~ rpoint(X1)
| ~ ron(X1,X0)
| vd684 = vf(sK34(X0,X1),sK34(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_419])]) ).
fof(f2151,plain,
( ! [X0,X1] :
( ~ rcircle(X0)
| ~ rpoint(X1)
| ~ ron(X1,X0)
| vd684 = vf(sK34(X0,X1),sK34(X0,X1)) )
| ~ spl57_44
| ~ spl57_92 ),
inference(resolution,[],[f2069,f1833]) ).
fof(f10675,plain,
( spl57_418
| ~ spl57_44
| ~ spl57_91 ),
inference(avatar_split_clause,[],[f2147,f2064,f1832,f10673]) ).
fof(f10673,plain,
( spl57_418
<=> ! [X0,X1] :
( ~ rline(X0)
| ~ rline(X1)
| ~ rintersect(X0,X1)
| vd684 = vf(sK33(X0,X1),sK33(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_418])]) ).
fof(f2147,plain,
( ! [X0,X1] :
( ~ rline(X0)
| ~ rline(X1)
| ~ rintersect(X0,X1)
| vd684 = vf(sK33(X0,X1),sK33(X0,X1)) )
| ~ spl57_44
| ~ spl57_91 ),
inference(resolution,[],[f2065,f1833]) ).
fof(f10671,plain,
( spl57_417
| ~ spl57_44
| ~ spl57_90 ),
inference(avatar_split_clause,[],[f2143,f2060,f1832,f10669]) ).
fof(f10669,plain,
( spl57_417
<=> ! [X0,X1] :
( ~ rcircle(X0)
| ~ rline(X1)
| ~ rintersect(X1,X0)
| vd684 = vf(sK30(X0,X1),sK30(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_417])]) ).
fof(f2143,plain,
( ! [X0,X1] :
( ~ rcircle(X0)
| ~ rline(X1)
| ~ rintersect(X1,X0)
| vd684 = vf(sK30(X0,X1),sK30(X0,X1)) )
| ~ spl57_44
| ~ spl57_90 ),
inference(resolution,[],[f2061,f1833]) ).
fof(f10667,plain,
( spl57_416
| ~ spl57_44
| ~ spl57_89 ),
inference(avatar_split_clause,[],[f2139,f2056,f1832,f10665]) ).
fof(f10665,plain,
( spl57_416
<=> ! [X0,X1] :
( ~ rcircle(X0)
| ~ rcircle(X1)
| ~ rintersect(X0,X1)
| vd684 = vf(sK29(X0,X1),sK29(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_416])]) ).
fof(f2139,plain,
( ! [X0,X1] :
( ~ rcircle(X0)
| ~ rcircle(X1)
| ~ rintersect(X0,X1)
| vd684 = vf(sK29(X0,X1),sK29(X0,X1)) )
| ~ spl57_44
| ~ spl57_89 ),
inference(resolution,[],[f2057,f1833]) ).
fof(f10663,plain,
( spl57_415
| ~ spl57_44
| ~ spl57_87 ),
inference(avatar_split_clause,[],[f2135,f2048,f1832,f10661]) ).
fof(f10661,plain,
( spl57_415
<=> ! [X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| vd684 = vf(sK28(X0,X1),sK28(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_415])]) ).
fof(f2135,plain,
( ! [X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| vd684 = vf(sK28(X0,X1),sK28(X0,X1)) )
| ~ spl57_44
| ~ spl57_87 ),
inference(resolution,[],[f2049,f1833]) ).
fof(f10659,plain,
( spl57_414
| ~ spl57_44
| ~ spl57_86 ),
inference(avatar_split_clause,[],[f2131,f2044,f1832,f10657]) ).
fof(f10657,plain,
( spl57_414
<=> ! [X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| vd684 = vf(sK27(X0,X1),sK27(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_414])]) ).
fof(f2131,plain,
( ! [X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| vd684 = vf(sK27(X0,X1),sK27(X0,X1)) )
| ~ spl57_44
| ~ spl57_86 ),
inference(resolution,[],[f2045,f1833]) ).
fof(f10655,plain,
( spl57_413
| ~ spl57_39
| ~ spl57_80 ),
inference(avatar_split_clause,[],[f2112,f2020,f1810,f10653]) ).
fof(f10653,plain,
( spl57_413
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK32(X1,X2)) = sK21(X0,sK32(X1,X2))
| ~ sP1(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_413])]) ).
fof(f2112,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK32(X1,X2)) = sK21(X0,sK32(X1,X2))
| ~ sP1(X1,X2) )
| ~ spl57_39
| ~ spl57_80 ),
inference(resolution,[],[f2021,f1811]) ).
fof(f10651,plain,
( spl57_412
| ~ spl57_40
| ~ spl57_80 ),
inference(avatar_split_clause,[],[f2111,f2020,f1814,f10649]) ).
fof(f10649,plain,
( spl57_412
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK31(X1,X2)) = sK21(X0,sK31(X1,X2))
| ~ sP1(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_412])]) ).
fof(f2111,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK31(X1,X2)) = sK21(X0,sK31(X1,X2))
| ~ sP1(X1,X2) )
| ~ spl57_40
| ~ spl57_80 ),
inference(resolution,[],[f2021,f1815]) ).
fof(f10644,plain,
( spl57_411
| ~ spl57_37
| ~ spl57_80 ),
inference(avatar_split_clause,[],[f2109,f2020,f1802,f10642]) ).
fof(f10642,plain,
( spl57_411
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK19(X1,X2)) = sK21(X0,sK19(X1,X2))
| ~ sP0(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_411])]) ).
fof(f2109,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK19(X1,X2)) = sK21(X0,sK19(X1,X2))
| ~ sP0(X1,X2) )
| ~ spl57_37
| ~ spl57_80 ),
inference(resolution,[],[f2021,f1803]) ).
fof(f10640,plain,
( spl57_410
| ~ spl57_38
| ~ spl57_80 ),
inference(avatar_split_clause,[],[f2108,f2020,f1806,f10638]) ).
fof(f10638,plain,
( spl57_410
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK18(X1,X2)) = sK21(X0,sK18(X1,X2))
| ~ sP0(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_410])]) ).
fof(f2108,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK18(X1,X2)) = sK21(X0,sK18(X1,X2))
| ~ sP0(X1,X2) )
| ~ spl57_38
| ~ spl57_80 ),
inference(resolution,[],[f2021,f1807]) ).
fof(f10636,plain,
( spl57_409
| ~ spl57_36
| ~ spl57_80 ),
inference(avatar_split_clause,[],[f2102,f2020,f1798,f10634]) ).
fof(f10634,plain,
( spl57_409
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK9(X1,X2)) = sK21(X0,sK9(X1,X2))
| ~ rcenter(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_409])]) ).
fof(f2102,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK9(X1,X2)) = sK21(X0,sK9(X1,X2))
| ~ rcenter(X1,X2) )
| ~ spl57_36
| ~ spl57_80 ),
inference(resolution,[],[f2021,f1799]) ).
fof(f10632,plain,
( spl57_408
| ~ spl57_39
| ~ spl57_79 ),
inference(avatar_split_clause,[],[f2094,f2016,f1810,f10630]) ).
fof(f10630,plain,
( spl57_408
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(sK32(X1,X2),X0) = vf(X0,sK32(X1,X2))
| ~ sP1(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_408])]) ).
fof(f2094,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(sK32(X1,X2),X0) = vf(X0,sK32(X1,X2))
| ~ sP1(X1,X2) )
| ~ spl57_39
| ~ spl57_79 ),
inference(resolution,[],[f2017,f1811]) ).
fof(f10628,plain,
( spl57_407
| ~ spl57_40
| ~ spl57_79 ),
inference(avatar_split_clause,[],[f2093,f2016,f1814,f10626]) ).
fof(f10626,plain,
( spl57_407
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(sK31(X1,X2),X0) = vf(X0,sK31(X1,X2))
| ~ sP1(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_407])]) ).
fof(f2093,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(sK31(X1,X2),X0) = vf(X0,sK31(X1,X2))
| ~ sP1(X1,X2) )
| ~ spl57_40
| ~ spl57_79 ),
inference(resolution,[],[f2017,f1815]) ).
fof(f10624,plain,
( spl57_406
| ~ spl57_37
| ~ spl57_79 ),
inference(avatar_split_clause,[],[f2091,f2016,f1802,f10622]) ).
fof(f10622,plain,
( spl57_406
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(sK19(X1,X2),X0) = vf(X0,sK19(X1,X2))
| ~ sP0(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_406])]) ).
fof(f2091,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(sK19(X1,X2),X0) = vf(X0,sK19(X1,X2))
| ~ sP0(X1,X2) )
| ~ spl57_37
| ~ spl57_79 ),
inference(resolution,[],[f2017,f1803]) ).
fof(f10620,plain,
( spl57_405
| ~ spl57_38
| ~ spl57_79 ),
inference(avatar_split_clause,[],[f2090,f2016,f1806,f10618]) ).
fof(f10618,plain,
( spl57_405
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(sK18(X1,X2),X0) = vf(X0,sK18(X1,X2))
| ~ sP0(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_405])]) ).
fof(f2090,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(sK18(X1,X2),X0) = vf(X0,sK18(X1,X2))
| ~ sP0(X1,X2) )
| ~ spl57_38
| ~ spl57_79 ),
inference(resolution,[],[f2017,f1807]) ).
fof(f10616,plain,
( spl57_404
| ~ spl57_36
| ~ spl57_79 ),
inference(avatar_split_clause,[],[f2084,f2016,f1798,f10614]) ).
fof(f10614,plain,
( spl57_404
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(sK9(X1,X2),X0) = vf(X0,sK9(X1,X2))
| ~ rcenter(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_404])]) ).
fof(f2084,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(sK9(X1,X2),X0) = vf(X0,sK9(X1,X2))
| ~ rcenter(X1,X2) )
| ~ spl57_36
| ~ spl57_79 ),
inference(resolution,[],[f2017,f1799]) ).
fof(f10517,plain,
( spl57_403
| ~ spl57_31
| ~ spl57_140 ),
inference(avatar_split_clause,[],[f2465,f2376,f1778,f10515]) ).
fof(f10515,plain,
( spl57_403
<=> ! [X0,X1] :
( ~ rpoint(sK14(X0))
| ~ rcircle(X0)
| ~ rline(X1)
| rintersect(X1,X0)
| ~ ron(sK14(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_403])]) ).
fof(f2376,plain,
( spl57_140
<=> ! [X5,X1,X3] :
( rintersect(X5,X3)
| ~ rpoint(X1)
| ~ rcircle(X3)
| ~ rline(X5)
| ~ rinside(X1,X3)
| ~ ron(X1,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_140])]) ).
fof(f2465,plain,
( ! [X0,X1] :
( ~ rpoint(sK14(X0))
| ~ rcircle(X0)
| ~ rline(X1)
| rintersect(X1,X0)
| ~ ron(sK14(X0),X1) )
| ~ spl57_31
| ~ spl57_140 ),
inference(duplicate_literal_removal,[],[f2464]) ).
fof(f2464,plain,
( ! [X0,X1] :
( ~ rpoint(sK14(X0))
| ~ rcircle(X0)
| ~ rline(X1)
| rintersect(X1,X0)
| ~ ron(sK14(X0),X1)
| ~ rcircle(X0) )
| ~ spl57_31
| ~ spl57_140 ),
inference(resolution,[],[f2377,f1779]) ).
fof(f2377,plain,
( ! [X3,X1,X5] :
( ~ rinside(X1,X3)
| ~ rpoint(X1)
| ~ rcircle(X3)
| ~ rline(X5)
| rintersect(X5,X3)
| ~ ron(X1,X5) )
| ~ spl57_140 ),
inference(avatar_component_clause,[],[f2376]) ).
fof(f10513,plain,
( spl57_402
| ~ spl57_47
| ~ spl57_101 ),
inference(avatar_split_clause,[],[f2261,f2185,f1861,f10511]) ).
fof(f10511,plain,
( spl57_402
<=> ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1
| sK9(X0,sK11(X0,X1)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_402])]) ).
fof(f1861,plain,
( spl57_47
<=> ! [X0,X1] :
( sK9(X0,X1) = X0
| ~ rcenter(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_47])]) ).
fof(f2261,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1
| sK9(X0,sK11(X0,X1)) = X0 )
| ~ spl57_47
| ~ spl57_101 ),
inference(resolution,[],[f2186,f1862]) ).
fof(f1862,plain,
( ! [X0,X1] :
( ~ rcenter(X0,X1)
| sK9(X0,X1) = X0 )
| ~ spl57_47 ),
inference(avatar_component_clause,[],[f1861]) ).
fof(f10509,plain,
( spl57_401
| ~ spl57_56
| ~ spl57_70 ),
inference(avatar_split_clause,[],[f1989,f1960,f1897,f10507]) ).
fof(f10507,plain,
( spl57_401
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK20(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_401])]) ).
fof(f1989,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK20(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) )
| ~ spl57_56
| ~ spl57_70 ),
inference(resolution,[],[f1961,f1898]) ).
fof(f10456,plain,
( ~ spl57_1
| ~ spl57_11
| spl57_400
| ~ spl57_4
| ~ spl57_290 ),
inference(avatar_split_clause,[],[f7497,f7456,f1652,f10454,f1687,f1637]) ).
fof(f10454,plain,
( spl57_400
<=> ! [X4,X0,X3,X2,X1] :
( ~ rpoint(X0)
| rR(X0,X2,sK6)
| rR(X0,X1,X3)
| sK6 = X0
| X0 = X3
| X0 = X2
| X0 = X1
| vangle(X1,X0,X2) = vangle(X3,X0,sK6)
| ~ ron(X0,X4)
| ~ rline(X4)
| ~ rpoint(X3)
| ~ ron(X3,X4)
| ~ rpoint(X2)
| ~ ron(X2,sK5)
| ~ rpoint(X1)
| ~ ron(X1,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_400])]) ).
fof(f7456,plain,
( spl57_290
<=> ! [X10,X11,X13,X12,X9,X8,X7] :
( vangle(X8,X7,X9) = vangle(X10,X7,X11)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rline(X12)
| ~ rline(X13)
| ~ ron(X7,X12)
| ~ ron(X8,X12)
| ~ ron(X10,X12)
| ~ ron(X9,X13)
| ~ ron(X11,X13)
| X7 = X8
| X7 = X9
| X7 = X10
| X7 = X11
| rR(X7,X8,X10)
| rR(X7,X9,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_290])]) ).
fof(f7497,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(sK6)
| ~ rline(X4)
| ~ rline(sK5)
| ~ ron(X0,X4)
| ~ ron(X1,X4)
| ~ ron(X3,X4)
| ~ ron(X2,sK5)
| vangle(X1,X0,X2) = vangle(X3,X0,sK6)
| X0 = X1
| X0 = X2
| X0 = X3
| sK6 = X0
| rR(X0,X1,X3)
| rR(X0,X2,sK6) )
| ~ spl57_4
| ~ spl57_290 ),
inference(resolution,[],[f7457,f1654]) ).
fof(f7457,plain,
( ! [X10,X11,X8,X9,X7,X12,X13] :
( ~ ron(X11,X13)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rline(X12)
| ~ rline(X13)
| ~ ron(X7,X12)
| ~ ron(X8,X12)
| ~ ron(X10,X12)
| ~ ron(X9,X13)
| vangle(X8,X7,X9) = vangle(X10,X7,X11)
| X7 = X8
| X7 = X9
| X7 = X10
| X7 = X11
| rR(X7,X8,X10)
| rR(X7,X9,X11) )
| ~ spl57_290 ),
inference(avatar_component_clause,[],[f7456]) ).
fof(f10404,plain,
( ~ spl57_1
| ~ spl57_9
| spl57_399
| ~ spl57_3
| ~ spl57_290 ),
inference(avatar_split_clause,[],[f7496,f7456,f1647,f10402,f1677,f1637]) ).
fof(f10402,plain,
( spl57_399
<=> ! [X4,X0,X3,X2,X1] :
( ~ rpoint(X0)
| rR(X0,X2,sK8)
| rR(X0,X1,X3)
| sK8 = X0
| X0 = X3
| X0 = X2
| X0 = X1
| vangle(X1,X0,X2) = vangle(X3,X0,sK8)
| ~ ron(X0,X4)
| ~ rline(X4)
| ~ rpoint(X3)
| ~ ron(X3,X4)
| ~ rpoint(X2)
| ~ ron(X2,sK5)
| ~ rpoint(X1)
| ~ ron(X1,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_399])]) ).
fof(f7496,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(sK8)
| ~ rline(X4)
| ~ rline(sK5)
| ~ ron(X0,X4)
| ~ ron(X1,X4)
| ~ ron(X3,X4)
| ~ ron(X2,sK5)
| vangle(X1,X0,X2) = vangle(X3,X0,sK8)
| X0 = X1
| X0 = X2
| X0 = X3
| sK8 = X0
| rR(X0,X1,X3)
| rR(X0,X2,sK8) )
| ~ spl57_3
| ~ spl57_290 ),
inference(resolution,[],[f7457,f1649]) ).
fof(f9571,plain,
( spl57_398
| ~ spl57_136
| ~ spl57_337 ),
inference(avatar_split_clause,[],[f9117,f8508,f2360,f9568]) ).
fof(f9568,plain,
( spl57_398
<=> vd684 = vg(sK16(sK5),sK16(sK5),sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_398])]) ).
fof(f9117,plain,
( vd684 = vg(sK16(sK5),sK16(sK5),sK8)
| ~ spl57_136
| ~ spl57_337 ),
inference(resolution,[],[f8509,f2361]) ).
fof(f9512,plain,
( spl57_397
| ~ spl57_131
| ~ spl57_337 ),
inference(avatar_split_clause,[],[f9115,f8508,f2324,f9509]) ).
fof(f9509,plain,
( spl57_397
<=> vd684 = vg(sK16(sK5),sK16(sK5),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_397])]) ).
fof(f9115,plain,
( vd684 = vg(sK16(sK5),sK16(sK5),sK7)
| ~ spl57_131
| ~ spl57_337 ),
inference(resolution,[],[f8509,f2325]) ).
fof(f9464,plain,
( spl57_396
| ~ spl57_9
| ~ spl57_138 ),
inference(avatar_split_clause,[],[f2438,f2368,f1677,f9462]) ).
fof(f9462,plain,
( spl57_396
<=> ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK8) = sK23(X0,X1,sK8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_396])]) ).
fof(f2438,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK8) = sK23(X0,X1,sK8) )
| ~ spl57_9
| ~ spl57_138 ),
inference(resolution,[],[f2369,f1679]) ).
fof(f9460,plain,
( spl57_395
| ~ spl57_10
| ~ spl57_138 ),
inference(avatar_split_clause,[],[f2437,f2368,f1682,f9458]) ).
fof(f9458,plain,
( spl57_395
<=> ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK7) = sK23(X0,X1,sK7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_395])]) ).
fof(f2437,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK7) = sK23(X0,X1,sK7) )
| ~ spl57_10
| ~ spl57_138 ),
inference(resolution,[],[f2369,f1684]) ).
fof(f9456,plain,
( spl57_394
| ~ spl57_11
| ~ spl57_138 ),
inference(avatar_split_clause,[],[f2436,f2368,f1687,f9454]) ).
fof(f9454,plain,
( spl57_394
<=> ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK6) = sK23(X0,X1,sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_394])]) ).
fof(f2436,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK6) = sK23(X0,X1,sK6) )
| ~ spl57_11
| ~ spl57_138 ),
inference(resolution,[],[f2369,f1689]) ).
fof(f9452,plain,
( spl57_393
| ~ spl57_6
| ~ spl57_138 ),
inference(avatar_split_clause,[],[f2435,f2368,f1662,f9450]) ).
fof(f9450,plain,
( spl57_393
<=> ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,vd14) = sK23(X0,X1,vd14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_393])]) ).
fof(f2435,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,vd14) = sK23(X0,X1,vd14) )
| ~ spl57_6
| ~ spl57_138 ),
inference(resolution,[],[f2369,f1664]) ).
fof(f9448,plain,
( spl57_392
| ~ spl57_7
| ~ spl57_138 ),
inference(avatar_split_clause,[],[f2433,f2368,f1667,f9446]) ).
fof(f9446,plain,
( spl57_392
<=> ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,vd1409) = sK23(X0,X1,vd1409) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_392])]) ).
fof(f2433,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,vd1409) = sK23(X0,X1,vd1409) )
| ~ spl57_7
| ~ spl57_138 ),
inference(resolution,[],[f2369,f1669]) ).
fof(f9444,plain,
( spl57_391
| ~ spl57_9
| ~ spl57_137 ),
inference(avatar_split_clause,[],[f2411,f2364,f1677,f9442]) ).
fof(f9442,plain,
( spl57_391
<=> ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK8) = vg(X0,sK8,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_391])]) ).
fof(f2411,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK8) = vg(X0,sK8,X1) )
| ~ spl57_9
| ~ spl57_137 ),
inference(resolution,[],[f2365,f1679]) ).
fof(f9440,plain,
( spl57_390
| ~ spl57_10
| ~ spl57_137 ),
inference(avatar_split_clause,[],[f2410,f2364,f1682,f9438]) ).
fof(f9438,plain,
( spl57_390
<=> ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK7) = vg(X0,sK7,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_390])]) ).
fof(f2410,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK7) = vg(X0,sK7,X1) )
| ~ spl57_10
| ~ spl57_137 ),
inference(resolution,[],[f2365,f1684]) ).
fof(f9436,plain,
( spl57_389
| ~ spl57_11
| ~ spl57_137 ),
inference(avatar_split_clause,[],[f2409,f2364,f1687,f9434]) ).
fof(f9434,plain,
( spl57_389
<=> ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK6) = vg(X0,sK6,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_389])]) ).
fof(f2409,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK6) = vg(X0,sK6,X1) )
| ~ spl57_11
| ~ spl57_137 ),
inference(resolution,[],[f2365,f1689]) ).
fof(f9432,plain,
( spl57_388
| ~ spl57_6
| ~ spl57_137 ),
inference(avatar_split_clause,[],[f2408,f2364,f1662,f9430]) ).
fof(f9430,plain,
( spl57_388
<=> ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,vd14) = vg(X0,vd14,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_388])]) ).
fof(f2408,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,vd14) = vg(X0,vd14,X1) )
| ~ spl57_6
| ~ spl57_137 ),
inference(resolution,[],[f2365,f1664]) ).
fof(f9428,plain,
( spl57_387
| ~ spl57_125
| ~ spl57_337 ),
inference(avatar_split_clause,[],[f9114,f8508,f2292,f9425]) ).
fof(f9425,plain,
( spl57_387
<=> vd684 = vg(sK16(sK5),sK16(sK5),sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_387])]) ).
fof(f9114,plain,
( vd684 = vg(sK16(sK5),sK16(sK5),sK6)
| ~ spl57_125
| ~ spl57_337 ),
inference(resolution,[],[f8509,f2293]) ).
fof(f9423,plain,
( spl57_386
| ~ spl57_7
| ~ spl57_137 ),
inference(avatar_split_clause,[],[f2406,f2364,f1667,f9421]) ).
fof(f9421,plain,
( spl57_386
<=> ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,vd1409) = vg(X0,vd1409,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_386])]) ).
fof(f2406,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,vd1409) = vg(X0,vd1409,X1) )
| ~ spl57_7
| ~ spl57_137 ),
inference(resolution,[],[f2365,f1669]) ).
fof(f9419,plain,
( spl57_385
| ~ spl57_9
| ~ spl57_135 ),
inference(avatar_split_clause,[],[f2384,f2356,f1677,f9417]) ).
fof(f9417,plain,
( spl57_385
<=> ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK8) = vg(sK8,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_385])]) ).
fof(f2384,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK8) = vg(sK8,X0,X1) )
| ~ spl57_9
| ~ spl57_135 ),
inference(resolution,[],[f2357,f1679]) ).
fof(f9415,plain,
( spl57_384
| ~ spl57_10
| ~ spl57_135 ),
inference(avatar_split_clause,[],[f2383,f2356,f1682,f9413]) ).
fof(f9413,plain,
( spl57_384
<=> ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK7) = vg(sK7,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_384])]) ).
fof(f2383,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK7) = vg(sK7,X0,X1) )
| ~ spl57_10
| ~ spl57_135 ),
inference(resolution,[],[f2357,f1684]) ).
fof(f9411,plain,
( spl57_383
| ~ spl57_11
| ~ spl57_135 ),
inference(avatar_split_clause,[],[f2382,f2356,f1687,f9409]) ).
fof(f9409,plain,
( spl57_383
<=> ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK6) = vg(sK6,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_383])]) ).
fof(f2382,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK6) = vg(sK6,X0,X1) )
| ~ spl57_11
| ~ spl57_135 ),
inference(resolution,[],[f2357,f1689]) ).
fof(f9407,plain,
( spl57_382
| ~ spl57_6
| ~ spl57_135 ),
inference(avatar_split_clause,[],[f2381,f2356,f1662,f9405]) ).
fof(f9405,plain,
( spl57_382
<=> ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,vd14) = vg(vd14,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_382])]) ).
fof(f2381,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,vd14) = vg(vd14,X0,X1) )
| ~ spl57_6
| ~ spl57_135 ),
inference(resolution,[],[f2357,f1664]) ).
fof(f9403,plain,
( spl57_381
| ~ spl57_7
| ~ spl57_135 ),
inference(avatar_split_clause,[],[f2379,f2356,f1667,f9401]) ).
fof(f9401,plain,
( spl57_381
<=> ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,vd1409) = vg(vd1409,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_381])]) ).
fof(f2379,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,vd1409) = vg(vd1409,X0,X1) )
| ~ spl57_7
| ~ spl57_135 ),
inference(resolution,[],[f2357,f1669]) ).
fof(f9399,plain,
( spl57_380
| ~ spl57_27
| ~ spl57_80 ),
inference(avatar_split_clause,[],[f2107,f2020,f1762,f9397]) ).
fof(f9397,plain,
( spl57_380
<=> ! [X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK17(X1)) = sK21(X0,sK17(X1))
| ~ rpoint(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_380])]) ).
fof(f2107,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK17(X1)) = sK21(X0,sK17(X1))
| ~ rpoint(X1) )
| ~ spl57_27
| ~ spl57_80 ),
inference(resolution,[],[f2021,f1763]) ).
fof(f9395,plain,
( spl57_379
| ~ spl57_26
| ~ spl57_80 ),
inference(avatar_split_clause,[],[f2106,f2020,f1758,f9393]) ).
fof(f9393,plain,
( spl57_379
<=> ! [X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK16(X1)) = sK21(X0,sK16(X1))
| ~ rline(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_379])]) ).
fof(f2106,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK16(X1)) = sK21(X0,sK16(X1))
| ~ rline(X1) )
| ~ spl57_26
| ~ spl57_80 ),
inference(resolution,[],[f2021,f1759]) ).
fof(f9391,plain,
( spl57_378
| ~ spl57_24
| ~ spl57_80 ),
inference(avatar_split_clause,[],[f2105,f2020,f1750,f9389]) ).
fof(f9389,plain,
( spl57_378
<=> ! [X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK15(X1)) = sK21(X0,sK15(X1))
| ~ rcircle(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_378])]) ).
fof(f2105,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK15(X1)) = sK21(X0,sK15(X1))
| ~ rcircle(X1) )
| ~ spl57_24
| ~ spl57_80 ),
inference(resolution,[],[f2021,f1751]) ).
fof(f9387,plain,
( spl57_377
| ~ spl57_23
| ~ spl57_80 ),
inference(avatar_split_clause,[],[f2104,f2020,f1746,f9385]) ).
fof(f9385,plain,
( spl57_377
<=> ! [X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK14(X1)) = sK21(X0,sK14(X1))
| ~ rcircle(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_377])]) ).
fof(f2104,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK14(X1)) = sK21(X0,sK14(X1))
| ~ rcircle(X1) )
| ~ spl57_23
| ~ spl57_80 ),
inference(resolution,[],[f2021,f1747]) ).
fof(f9383,plain,
( spl57_376
| ~ spl57_121
| ~ spl57_337 ),
inference(avatar_split_clause,[],[f9113,f8508,f2276,f9380]) ).
fof(f9380,plain,
( spl57_376
<=> vd684 = vg(sK16(sK5),sK16(sK5),vd14) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_376])]) ).
fof(f9113,plain,
( vd684 = vg(sK16(sK5),sK16(sK5),vd14)
| ~ spl57_121
| ~ spl57_337 ),
inference(resolution,[],[f8509,f2277]) ).
fof(f9378,plain,
( spl57_375
| ~ spl57_22
| ~ spl57_80 ),
inference(avatar_split_clause,[],[f2103,f2020,f1742,f9376]) ).
fof(f9376,plain,
( spl57_375
<=> ! [X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK13(X1)) = sK21(X0,sK13(X1))
| ~ rcircle(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_375])]) ).
fof(f2103,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK13(X1)) = sK21(X0,sK13(X1))
| ~ rcircle(X1) )
| ~ spl57_22
| ~ spl57_80 ),
inference(resolution,[],[f2021,f1743]) ).
fof(f9374,plain,
( spl57_374
| ~ spl57_27
| ~ spl57_79 ),
inference(avatar_split_clause,[],[f2089,f2016,f1762,f9372]) ).
fof(f9372,plain,
( spl57_374
<=> ! [X0,X1] :
( ~ rpoint(X0)
| vf(sK17(X1),X0) = vf(X0,sK17(X1))
| ~ rpoint(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_374])]) ).
fof(f2089,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| vf(sK17(X1),X0) = vf(X0,sK17(X1))
| ~ rpoint(X1) )
| ~ spl57_27
| ~ spl57_79 ),
inference(resolution,[],[f2017,f1763]) ).
fof(f9370,plain,
( spl57_373
| ~ spl57_26
| ~ spl57_79 ),
inference(avatar_split_clause,[],[f2088,f2016,f1758,f9368]) ).
fof(f9368,plain,
( spl57_373
<=> ! [X0,X1] :
( ~ rpoint(X0)
| vf(sK16(X1),X0) = vf(X0,sK16(X1))
| ~ rline(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_373])]) ).
fof(f2088,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| vf(sK16(X1),X0) = vf(X0,sK16(X1))
| ~ rline(X1) )
| ~ spl57_26
| ~ spl57_79 ),
inference(resolution,[],[f2017,f1759]) ).
fof(f9366,plain,
( spl57_372
| ~ spl57_24
| ~ spl57_79 ),
inference(avatar_split_clause,[],[f2087,f2016,f1750,f9364]) ).
fof(f9364,plain,
( spl57_372
<=> ! [X0,X1] :
( ~ rpoint(X0)
| vf(sK15(X1),X0) = vf(X0,sK15(X1))
| ~ rcircle(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_372])]) ).
fof(f2087,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| vf(sK15(X1),X0) = vf(X0,sK15(X1))
| ~ rcircle(X1) )
| ~ spl57_24
| ~ spl57_79 ),
inference(resolution,[],[f2017,f1751]) ).
fof(f9362,plain,
( spl57_371
| ~ spl57_23
| ~ spl57_79 ),
inference(avatar_split_clause,[],[f2086,f2016,f1746,f9360]) ).
fof(f9360,plain,
( spl57_371
<=> ! [X0,X1] :
( ~ rpoint(X0)
| vf(sK14(X1),X0) = vf(X0,sK14(X1))
| ~ rcircle(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_371])]) ).
fof(f2086,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| vf(sK14(X1),X0) = vf(X0,sK14(X1))
| ~ rcircle(X1) )
| ~ spl57_23
| ~ spl57_79 ),
inference(resolution,[],[f2017,f1747]) ).
fof(f9358,plain,
( spl57_370
| ~ spl57_22
| ~ spl57_79 ),
inference(avatar_split_clause,[],[f2085,f2016,f1742,f9356]) ).
fof(f9356,plain,
( spl57_370
<=> ! [X0,X1] :
( ~ rpoint(X0)
| vf(sK13(X1),X0) = vf(X0,sK13(X1))
| ~ rcircle(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_370])]) ).
fof(f2085,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| vf(sK13(X1),X0) = vf(X0,sK13(X1))
| ~ rcircle(X1) )
| ~ spl57_22
| ~ spl57_79 ),
inference(resolution,[],[f2017,f1743]) ).
fof(f9354,plain,
( spl57_369
| ~ spl57_39
| ~ spl57_70 ),
inference(avatar_split_clause,[],[f1991,f1960,f1810,f9352]) ).
fof(f9352,plain,
( spl57_369
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK32(X1,X2))
| ~ sP1(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_369])]) ).
fof(f1991,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK32(X1,X2))
| ~ sP1(X1,X2) )
| ~ spl57_39
| ~ spl57_70 ),
inference(resolution,[],[f1961,f1811]) ).
fof(f9350,plain,
( spl57_368
| ~ spl57_40
| ~ spl57_70 ),
inference(avatar_split_clause,[],[f1990,f1960,f1814,f9348]) ).
fof(f9348,plain,
( spl57_368
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK31(X1,X2))
| ~ sP1(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_368])]) ).
fof(f1990,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK31(X1,X2))
| ~ sP1(X1,X2) )
| ~ spl57_40
| ~ spl57_70 ),
inference(resolution,[],[f1961,f1815]) ).
fof(f9346,plain,
( spl57_367
| ~ spl57_37
| ~ spl57_70 ),
inference(avatar_split_clause,[],[f1988,f1960,f1802,f9344]) ).
fof(f9344,plain,
( spl57_367
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK19(X1,X2))
| ~ sP0(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_367])]) ).
fof(f1988,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK19(X1,X2))
| ~ sP0(X1,X2) )
| ~ spl57_37
| ~ spl57_70 ),
inference(resolution,[],[f1961,f1803]) ).
fof(f9342,plain,
( spl57_366
| ~ spl57_38
| ~ spl57_70 ),
inference(avatar_split_clause,[],[f1987,f1960,f1806,f9340]) ).
fof(f9340,plain,
( spl57_366
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK18(X1,X2))
| ~ sP0(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_366])]) ).
fof(f1987,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK18(X1,X2))
| ~ sP0(X1,X2) )
| ~ spl57_38
| ~ spl57_70 ),
inference(resolution,[],[f1961,f1807]) ).
fof(f9338,plain,
( spl57_365
| ~ spl57_120
| ~ spl57_337 ),
inference(avatar_split_clause,[],[f9112,f8508,f2265,f9335]) ).
fof(f9335,plain,
( spl57_365
<=> vd684 = vg(sK16(sK5),sK16(sK5),vd1409) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_365])]) ).
fof(f9112,plain,
( vd684 = vg(sK16(sK5),sK16(sK5),vd1409)
| ~ spl57_120
| ~ spl57_337 ),
inference(resolution,[],[f8509,f2266]) ).
fof(f9333,plain,
( spl57_364
| ~ spl57_36
| ~ spl57_70 ),
inference(avatar_split_clause,[],[f1981,f1960,f1798,f9331]) ).
fof(f9331,plain,
( spl57_364
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK9(X1,X2))
| ~ rcenter(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_364])]) ).
fof(f1981,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK9(X1,X2))
| ~ rcenter(X1,X2) )
| ~ spl57_36
| ~ spl57_70 ),
inference(resolution,[],[f1961,f1799]) ).
fof(f9329,plain,
( spl57_363
| ~ spl57_43
| ~ spl57_59 ),
inference(avatar_split_clause,[],[f1928,f1910,f1828,f9327]) ).
fof(f9327,plain,
( spl57_363
<=> ! [X0,X1] :
( ~ rreal(X0)
| ~ rreal(X1)
| sK26(X0,X1) = vplus(sK26(X0,X1),vd684) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_363])]) ).
fof(f1928,plain,
( ! [X0,X1] :
( ~ rreal(X0)
| ~ rreal(X1)
| sK26(X0,X1) = vplus(sK26(X0,X1),vd684) )
| ~ spl57_43
| ~ spl57_59 ),
inference(resolution,[],[f1911,f1829]) ).
fof(f9325,plain,
( spl57_362
| ~ spl57_43
| ~ spl57_58 ),
inference(avatar_split_clause,[],[f1927,f1906,f1828,f9323]) ).
fof(f9323,plain,
( spl57_362
<=> ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| sK21(X0,X1) = vplus(sK21(X0,X1),vd684) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_362])]) ).
fof(f1927,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| sK21(X0,X1) = vplus(sK21(X0,X1),vd684) )
| ~ spl57_43
| ~ spl57_58 ),
inference(resolution,[],[f1907,f1829]) ).
fof(f9321,plain,
( spl57_361
| ~ spl57_44
| ~ spl57_56 ),
inference(avatar_split_clause,[],[f1926,f1897,f1832,f9319]) ).
fof(f9319,plain,
( spl57_361
<=> ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vd684 = vf(sK20(X0,X1),sK20(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_361])]) ).
fof(f1926,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vd684 = vf(sK20(X0,X1),sK20(X0,X1)) )
| ~ spl57_44
| ~ spl57_56 ),
inference(resolution,[],[f1898,f1833]) ).
fof(f9285,plain,
( ~ spl57_9
| ~ spl57_11
| spl57_15
| ~ spl57_360
| ~ spl57_42
| ~ spl57_105 ),
inference(avatar_split_clause,[],[f2273,f2201,f1823,f9282,f1707,f1687,f1677]) ).
fof(f9282,plain,
( spl57_360
<=> vd684 = vf(sK6,vd1409) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_360])]) ).
fof(f2201,plain,
( spl57_105
<=> ! [X2,X3] :
( X2 = X3
| vd684 != vf(X2,X3)
| ~ rpoint(X2)
| ~ rpoint(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_105])]) ).
fof(f2273,plain,
( vd684 != vf(sK6,vd1409)
| sK6 = sK8
| ~ rpoint(sK6)
| ~ rpoint(sK8)
| ~ spl57_42
| ~ spl57_105 ),
inference(superposition,[],[f2202,f1825]) ).
fof(f2202,plain,
( ! [X2,X3] :
( vd684 != vf(X2,X3)
| X2 = X3
| ~ rpoint(X2)
| ~ rpoint(X3) )
| ~ spl57_105 ),
inference(avatar_component_clause,[],[f2201]) ).
fof(f9280,plain,
( ~ spl57_9
| ~ spl57_10
| spl57_16
| ~ spl57_359
| ~ spl57_41
| ~ spl57_105 ),
inference(avatar_split_clause,[],[f2272,f2201,f1818,f9277,f1712,f1682,f1677]) ).
fof(f1712,plain,
( spl57_16
<=> sK7 = sK8 ),
introduced(avatar_definition,[new_symbols(naming,[spl57_16])]) ).
fof(f9277,plain,
( spl57_359
<=> vd684 = vf(sK7,vd1409) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_359])]) ).
fof(f2272,plain,
( vd684 != vf(sK7,vd1409)
| sK7 = sK8
| ~ rpoint(sK7)
| ~ rpoint(sK8)
| ~ spl57_41
| ~ spl57_105 ),
inference(superposition,[],[f2202,f1820]) ).
fof(f9275,plain,
( spl57_358
| ~ spl57_28
| ~ spl57_101 ),
inference(avatar_split_clause,[],[f2263,f2185,f1766,f9273]) ).
fof(f9273,plain,
( spl57_358
<=> ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1
| rinside(X0,sK11(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_358])]) ).
fof(f1766,plain,
( spl57_28
<=> ! [X0,X1] :
( rinside(X0,X1)
| ~ rcenter(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_28])]) ).
fof(f2263,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1
| rinside(X0,sK11(X0,X1)) )
| ~ spl57_28
| ~ spl57_101 ),
inference(resolution,[],[f2186,f1767]) ).
fof(f1767,plain,
( ! [X0,X1] :
( ~ rcenter(X0,X1)
| rinside(X0,X1) )
| ~ spl57_28 ),
inference(avatar_component_clause,[],[f1766]) ).
fof(f9271,plain,
( spl57_357
| ~ spl57_39
| ~ spl57_44 ),
inference(avatar_split_clause,[],[f1850,f1832,f1810,f9269]) ).
fof(f9269,plain,
( spl57_357
<=> ! [X0,X1] :
( vd684 = vf(sK32(X0,X1),sK32(X0,X1))
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_357])]) ).
fof(f1850,plain,
( ! [X0,X1] :
( vd684 = vf(sK32(X0,X1),sK32(X0,X1))
| ~ sP1(X0,X1) )
| ~ spl57_39
| ~ spl57_44 ),
inference(resolution,[],[f1833,f1811]) ).
fof(f9267,plain,
( spl57_356
| ~ spl57_40
| ~ spl57_44 ),
inference(avatar_split_clause,[],[f1849,f1832,f1814,f9265]) ).
fof(f9265,plain,
( spl57_356
<=> ! [X0,X1] :
( vd684 = vf(sK31(X0,X1),sK31(X0,X1))
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_356])]) ).
fof(f1849,plain,
( ! [X0,X1] :
( vd684 = vf(sK31(X0,X1),sK31(X0,X1))
| ~ sP1(X0,X1) )
| ~ spl57_40
| ~ spl57_44 ),
inference(resolution,[],[f1833,f1815]) ).
fof(f9263,plain,
( spl57_355
| ~ spl57_37
| ~ spl57_44 ),
inference(avatar_split_clause,[],[f1848,f1832,f1802,f9261]) ).
fof(f9261,plain,
( spl57_355
<=> ! [X0,X1] :
( vd684 = vf(sK19(X0,X1),sK19(X0,X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_355])]) ).
fof(f1848,plain,
( ! [X0,X1] :
( vd684 = vf(sK19(X0,X1),sK19(X0,X1))
| ~ sP0(X0,X1) )
| ~ spl57_37
| ~ spl57_44 ),
inference(resolution,[],[f1833,f1803]) ).
fof(f9259,plain,
( spl57_354
| ~ spl57_38
| ~ spl57_44 ),
inference(avatar_split_clause,[],[f1847,f1832,f1806,f9257]) ).
fof(f9257,plain,
( spl57_354
<=> ! [X0,X1] :
( vd684 = vf(sK18(X0,X1),sK18(X0,X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_354])]) ).
fof(f1847,plain,
( ! [X0,X1] :
( vd684 = vf(sK18(X0,X1),sK18(X0,X1))
| ~ sP0(X0,X1) )
| ~ spl57_38
| ~ spl57_44 ),
inference(resolution,[],[f1833,f1807]) ).
fof(f9255,plain,
( spl57_353
| ~ spl57_36
| ~ spl57_44 ),
inference(avatar_split_clause,[],[f1841,f1832,f1798,f9253]) ).
fof(f9253,plain,
( spl57_353
<=> ! [X0,X1] :
( vd684 = vf(sK9(X0,X1),sK9(X0,X1))
| ~ rcenter(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_353])]) ).
fof(f1841,plain,
( ! [X0,X1] :
( vd684 = vf(sK9(X0,X1),sK9(X0,X1))
| ~ rcenter(X0,X1) )
| ~ spl57_36
| ~ spl57_44 ),
inference(resolution,[],[f1833,f1799]) ).
fof(f9251,plain,
( spl57_352
| ~ spl57_1
| ~ spl57_326 ),
inference(avatar_split_clause,[],[f8544,f8455,f1637,f9248]) ).
fof(f8455,plain,
( spl57_326
<=> ! [X0] :
( vd684 = vf(sK16(X0),sK16(X0))
| ~ rline(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_326])]) ).
fof(f8544,plain,
( vd684 = vf(sK16(sK5),sK16(sK5))
| ~ spl57_1
| ~ spl57_326 ),
inference(resolution,[],[f8456,f1639]) ).
fof(f1639,plain,
( rline(sK5)
| ~ spl57_1 ),
inference(avatar_component_clause,[],[f1637]) ).
fof(f8456,plain,
( ! [X0] :
( ~ rline(X0)
| vd684 = vf(sK16(X0),sK16(X0)) )
| ~ spl57_326 ),
inference(avatar_component_clause,[],[f8455]) ).
fof(f9154,plain,
( spl57_351
| ~ spl57_27
| ~ spl57_70 ),
inference(avatar_split_clause,[],[f1986,f1960,f1762,f9152]) ).
fof(f1986,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK17(X1))
| ~ rpoint(X1) )
| ~ spl57_27
| ~ spl57_70 ),
inference(resolution,[],[f1961,f1763]) ).
fof(f9150,plain,
( spl57_350
| ~ spl57_26
| ~ spl57_70 ),
inference(avatar_split_clause,[],[f1985,f1960,f1758,f9148]) ).
fof(f1985,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK16(X1))
| ~ rline(X1) )
| ~ spl57_26
| ~ spl57_70 ),
inference(resolution,[],[f1961,f1759]) ).
fof(f9146,plain,
( spl57_349
| ~ spl57_24
| ~ spl57_70 ),
inference(avatar_split_clause,[],[f1984,f1960,f1750,f9144]) ).
fof(f9144,plain,
( spl57_349
<=> ! [X0,X1] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK15(X1))
| ~ rcircle(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_349])]) ).
fof(f1984,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK15(X1))
| ~ rcircle(X1) )
| ~ spl57_24
| ~ spl57_70 ),
inference(resolution,[],[f1961,f1751]) ).
fof(f9142,plain,
( spl57_348
| ~ spl57_23
| ~ spl57_70 ),
inference(avatar_split_clause,[],[f1983,f1960,f1746,f9140]) ).
fof(f9140,plain,
( spl57_348
<=> ! [X0,X1] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK14(X1))
| ~ rcircle(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_348])]) ).
fof(f1983,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK14(X1))
| ~ rcircle(X1) )
| ~ spl57_23
| ~ spl57_70 ),
inference(resolution,[],[f1961,f1747]) ).
fof(f9138,plain,
( spl57_347
| ~ spl57_22
| ~ spl57_70 ),
inference(avatar_split_clause,[],[f1982,f1960,f1742,f9136]) ).
fof(f9136,plain,
( spl57_347
<=> ! [X0,X1] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK13(X1))
| ~ rcircle(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_347])]) ).
fof(f1982,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK13(X1))
| ~ rcircle(X1) )
| ~ spl57_22
| ~ spl57_70 ),
inference(resolution,[],[f1961,f1743]) ).
fof(f9099,plain,
( spl57_346
| ~ spl57_8
| ~ spl57_7
| ~ spl57_9
| ~ spl57_21
| ~ spl57_134 ),
inference(avatar_split_clause,[],[f2350,f2346,f1737,f1677,f1667,f1672,f9096]) ).
fof(f9096,plain,
( spl57_346
<=> rS(vd1409,sK8,vd1407) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_346])]) ).
fof(f2350,plain,
( ~ rpoint(sK8)
| ~ rpoint(vd1409)
| ~ rline(vd1407)
| rS(vd1409,sK8,vd1407)
| ~ spl57_21
| ~ spl57_134 ),
inference(resolution,[],[f2347,f1739]) ).
fof(f9065,plain,
( ~ spl57_1
| ~ spl57_11
| spl57_345
| ~ spl57_4
| ~ spl57_264 ),
inference(avatar_split_clause,[],[f5257,f5224,f1652,f9063,f1687,f1637]) ).
fof(f9063,plain,
( spl57_345
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ ron(X1,X2)
| ~ ron(X1,sK5)
| rS(X0,sK6,X2)
| rR(X1,X0,sK6)
| ~ ron(X0,sK5)
| ~ rline(X2)
| sK5 = X2
| sK6 = X1
| sK6 = X0
| X0 = X1
| ~ rpoint(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_345])]) ).
fof(f5224,plain,
( spl57_264
<=> ! [X5,X9,X7,X6,X8] :
( rR(X6,X5,X7)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X5 = X6
| X5 = X7
| X6 = X7
| ~ rline(X8)
| ~ rline(X9)
| X8 = X9
| ~ ron(X5,X9)
| ~ ron(X7,X9)
| rS(X5,X7,X8)
| ~ ron(X6,X9)
| ~ ron(X6,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_264])]) ).
fof(f5257,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(sK6)
| X0 = X1
| sK6 = X0
| sK6 = X1
| ~ rline(X2)
| ~ rline(sK5)
| sK5 = X2
| ~ ron(X0,sK5)
| rR(X1,X0,sK6)
| rS(X0,sK6,X2)
| ~ ron(X1,sK5)
| ~ ron(X1,X2) )
| ~ spl57_4
| ~ spl57_264 ),
inference(resolution,[],[f5225,f1654]) ).
fof(f5225,plain,
( ! [X8,X6,X9,X7,X5] :
( ~ ron(X7,X9)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X5 = X6
| X5 = X7
| X6 = X7
| ~ rline(X8)
| ~ rline(X9)
| X8 = X9
| ~ ron(X5,X9)
| rR(X6,X5,X7)
| rS(X5,X7,X8)
| ~ ron(X6,X9)
| ~ ron(X6,X8) )
| ~ spl57_264 ),
inference(avatar_component_clause,[],[f5224]) ).
fof(f9032,plain,
( ~ spl57_1
| ~ spl57_9
| spl57_344
| ~ spl57_3
| ~ spl57_264 ),
inference(avatar_split_clause,[],[f5256,f5224,f1647,f9030,f1677,f1637]) ).
fof(f9030,plain,
( spl57_344
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ ron(X1,X2)
| ~ ron(X1,sK5)
| rS(X0,sK8,X2)
| rR(X1,X0,sK8)
| ~ ron(X0,sK5)
| ~ rline(X2)
| sK5 = X2
| sK8 = X1
| sK8 = X0
| X0 = X1
| ~ rpoint(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_344])]) ).
fof(f5256,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(sK8)
| X0 = X1
| sK8 = X0
| sK8 = X1
| ~ rline(X2)
| ~ rline(sK5)
| sK5 = X2
| ~ ron(X0,sK5)
| rR(X1,X0,sK8)
| rS(X0,sK8,X2)
| ~ ron(X1,sK5)
| ~ ron(X1,X2) )
| ~ spl57_3
| ~ spl57_264 ),
inference(resolution,[],[f5225,f1649]) ).
fof(f8933,plain,
( ~ spl57_1
| ~ spl57_26
| spl57_337 ),
inference(avatar_split_clause,[],[f8546,f8508,f1758,f1637]) ).
fof(f8546,plain,
( ~ rline(sK5)
| ~ spl57_26
| spl57_337 ),
inference(resolution,[],[f8510,f1759]) ).
fof(f8510,plain,
( ~ rpoint(sK16(sK5))
| spl57_337 ),
inference(avatar_component_clause,[],[f8508]) ).
fof(f8535,plain,
( ~ spl57_343
| ~ spl57_8
| ~ spl57_7
| ~ spl57_9
| ~ spl57_21
| ~ spl57_129 ),
inference(avatar_split_clause,[],[f2332,f2308,f1737,f1677,f1667,f1672,f8532]) ).
fof(f8532,plain,
( spl57_343
<=> ron(sK8,vd1407) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_343])]) ).
fof(f2332,plain,
( ~ rpoint(sK8)
| ~ rpoint(vd1409)
| ~ rline(vd1407)
| ~ ron(sK8,vd1407)
| ~ spl57_21
| ~ spl57_129 ),
inference(resolution,[],[f2309,f1739]) ).
fof(f8530,plain,
( spl57_342
| ~ spl57_5
| ~ spl57_85 ),
inference(avatar_split_clause,[],[f2124,f2040,f1657,f8528]) ).
fof(f8528,plain,
( spl57_342
<=> ! [X0] :
( ~ rreal(X0)
| vplus(X0,vd684) = sK26(X0,vd684) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_342])]) ).
fof(f1657,plain,
( spl57_5
<=> rreal(vd684) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_5])]) ).
fof(f2124,plain,
( ! [X0] :
( ~ rreal(X0)
| vplus(X0,vd684) = sK26(X0,vd684) )
| ~ spl57_5
| ~ spl57_85 ),
inference(resolution,[],[f2041,f1659]) ).
fof(f1659,plain,
( rreal(vd684)
| ~ spl57_5 ),
inference(avatar_component_clause,[],[f1657]) ).
fof(f8526,plain,
( spl57_341
| ~ spl57_5
| ~ spl57_84 ),
inference(avatar_split_clause,[],[f2120,f2036,f1657,f8524]) ).
fof(f8524,plain,
( spl57_341
<=> ! [X0] :
( ~ rreal(X0)
| vplus(X0,vd684) = vplus(vd684,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_341])]) ).
fof(f2120,plain,
( ! [X0] :
( ~ rreal(X0)
| vplus(X0,vd684) = vplus(vd684,X0) )
| ~ spl57_5
| ~ spl57_84 ),
inference(resolution,[],[f2037,f1659]) ).
fof(f8522,plain,
( spl57_340
| ~ spl57_9
| ~ spl57_80 ),
inference(avatar_split_clause,[],[f2101,f2020,f1677,f8520]) ).
fof(f2101,plain,
( ! [X0] :
( ~ rpoint(X0)
| vf(X0,sK8) = sK21(X0,sK8) )
| ~ spl57_9
| ~ spl57_80 ),
inference(resolution,[],[f2021,f1679]) ).
fof(f8518,plain,
( spl57_339
| ~ spl57_10
| ~ spl57_80 ),
inference(avatar_split_clause,[],[f2100,f2020,f1682,f8516]) ).
fof(f2100,plain,
( ! [X0] :
( ~ rpoint(X0)
| vf(X0,sK7) = sK21(X0,sK7) )
| ~ spl57_10
| ~ spl57_80 ),
inference(resolution,[],[f2021,f1684]) ).
fof(f8514,plain,
( ~ spl57_1
| ~ spl57_337
| spl57_338
| ~ spl57_33
| ~ spl57_284 ),
inference(avatar_split_clause,[],[f6642,f6535,f1786,f8512,f8508,f1637]) ).
fof(f8512,plain,
( spl57_338
<=> ! [X0] :
( ~ rline(X0)
| ~ ron(sK16(sK5),X0)
| rintersect(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_338])]) ).
fof(f6535,plain,
( spl57_284
<=> ! [X0,X1] :
( rintersect(X0,sK5)
| ~ rline(X0)
| ~ ron(X1,sK5)
| ~ ron(X1,X0)
| ~ rpoint(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_284])]) ).
fof(f6642,plain,
( ! [X0] :
( ~ rline(X0)
| rintersect(X0,sK5)
| ~ ron(sK16(sK5),X0)
| ~ rpoint(sK16(sK5))
| ~ rline(sK5) )
| ~ spl57_33
| ~ spl57_284 ),
inference(resolution,[],[f6536,f1787]) ).
fof(f6536,plain,
( ! [X0,X1] :
( ~ ron(X1,sK5)
| ~ rline(X0)
| rintersect(X0,sK5)
| ~ ron(X1,X0)
| ~ rpoint(X1) )
| ~ spl57_284 ),
inference(avatar_component_clause,[],[f6535]) ).
fof(f8506,plain,
( spl57_336
| ~ spl57_11
| ~ spl57_80 ),
inference(avatar_split_clause,[],[f2099,f2020,f1687,f8504]) ).
fof(f2099,plain,
( ! [X0] :
( ~ rpoint(X0)
| vf(X0,sK6) = sK21(X0,sK6) )
| ~ spl57_11
| ~ spl57_80 ),
inference(resolution,[],[f2021,f1689]) ).
fof(f8502,plain,
( spl57_335
| ~ spl57_6
| ~ spl57_80 ),
inference(avatar_split_clause,[],[f2098,f2020,f1662,f8500]) ).
fof(f2098,plain,
( ! [X0] :
( ~ rpoint(X0)
| vf(X0,vd14) = sK21(X0,vd14) )
| ~ spl57_6
| ~ spl57_80 ),
inference(resolution,[],[f2021,f1664]) ).
fof(f8498,plain,
( spl57_334
| ~ spl57_7
| ~ spl57_80 ),
inference(avatar_split_clause,[],[f2097,f2020,f1667,f8496]) ).
fof(f2097,plain,
( ! [X0] :
( ~ rpoint(X0)
| vf(X0,vd1409) = sK21(X0,vd1409) )
| ~ spl57_7
| ~ spl57_80 ),
inference(resolution,[],[f2021,f1669]) ).
fof(f8494,plain,
( spl57_333
| ~ spl57_9
| ~ spl57_79 ),
inference(avatar_split_clause,[],[f2083,f2016,f1677,f8492]) ).
fof(f2083,plain,
( ! [X0] :
( ~ rpoint(X0)
| vf(sK8,X0) = vf(X0,sK8) )
| ~ spl57_9
| ~ spl57_79 ),
inference(resolution,[],[f2017,f1679]) ).
fof(f8490,plain,
( spl57_332
| ~ spl57_10
| ~ spl57_79 ),
inference(avatar_split_clause,[],[f2082,f2016,f1682,f8488]) ).
fof(f2082,plain,
( ! [X0] :
( ~ rpoint(X0)
| vf(sK7,X0) = vf(X0,sK7) )
| ~ spl57_10
| ~ spl57_79 ),
inference(resolution,[],[f2017,f1684]) ).
fof(f8486,plain,
( spl57_331
| ~ spl57_11
| ~ spl57_79 ),
inference(avatar_split_clause,[],[f2081,f2016,f1687,f8484]) ).
fof(f2081,plain,
( ! [X0] :
( ~ rpoint(X0)
| vf(sK6,X0) = vf(X0,sK6) )
| ~ spl57_11
| ~ spl57_79 ),
inference(resolution,[],[f2017,f1689]) ).
fof(f8482,plain,
( spl57_330
| ~ spl57_6
| ~ spl57_79 ),
inference(avatar_split_clause,[],[f2080,f2016,f1662,f8480]) ).
fof(f2080,plain,
( ! [X0] :
( ~ rpoint(X0)
| vf(vd14,X0) = vf(X0,vd14) )
| ~ spl57_6
| ~ spl57_79 ),
inference(resolution,[],[f2017,f1664]) ).
fof(f8478,plain,
( spl57_329
| ~ spl57_7
| ~ spl57_79 ),
inference(avatar_split_clause,[],[f2079,f2016,f1667,f8476]) ).
fof(f2079,plain,
( ! [X0] :
( ~ rpoint(X0)
| vf(vd1409,X0) = vf(X0,vd1409) )
| ~ spl57_7
| ~ spl57_79 ),
inference(resolution,[],[f2017,f1669]) ).
fof(f8474,plain,
( spl57_328
| ~ spl57_31
| ~ spl57_73 ),
inference(avatar_split_clause,[],[f1993,f1973,f1778,f8472]) ).
fof(f8472,plain,
( spl57_328
<=> ! [X0] :
( ~ rpoint(sK14(X0))
| ~ rcircle(X0)
| ~ ron(sK14(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_328])]) ).
fof(f1973,plain,
( spl57_73
<=> ! [X1,X3] :
( ~ ron(X1,X3)
| ~ rpoint(X1)
| ~ rcircle(X3)
| ~ rinside(X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_73])]) ).
fof(f1993,plain,
( ! [X0] :
( ~ rpoint(sK14(X0))
| ~ rcircle(X0)
| ~ ron(sK14(X0),X0) )
| ~ spl57_31
| ~ spl57_73 ),
inference(duplicate_literal_removal,[],[f1992]) ).
fof(f1992,plain,
( ! [X0] :
( ~ rpoint(sK14(X0))
| ~ rcircle(X0)
| ~ ron(sK14(X0),X0)
| ~ rcircle(X0) )
| ~ spl57_31
| ~ spl57_73 ),
inference(resolution,[],[f1974,f1779]) ).
fof(f1974,plain,
( ! [X3,X1] :
( ~ rinside(X1,X3)
| ~ rpoint(X1)
| ~ rcircle(X3)
| ~ ron(X1,X3) )
| ~ spl57_73 ),
inference(avatar_component_clause,[],[f1973]) ).
fof(f8470,plain,
( spl57_327
| ~ spl57_27
| ~ spl57_44 ),
inference(avatar_split_clause,[],[f1846,f1832,f1762,f8468]) ).
fof(f1846,plain,
( ! [X0] :
( vd684 = vf(sK17(X0),sK17(X0))
| ~ rpoint(X0) )
| ~ spl57_27
| ~ spl57_44 ),
inference(resolution,[],[f1833,f1763]) ).
fof(f8457,plain,
( spl57_326
| ~ spl57_26
| ~ spl57_44 ),
inference(avatar_split_clause,[],[f1845,f1832,f1758,f8455]) ).
fof(f1845,plain,
( ! [X0] :
( vd684 = vf(sK16(X0),sK16(X0))
| ~ rline(X0) )
| ~ spl57_26
| ~ spl57_44 ),
inference(resolution,[],[f1833,f1759]) ).
fof(f8453,plain,
( spl57_325
| ~ spl57_24
| ~ spl57_44 ),
inference(avatar_split_clause,[],[f1844,f1832,f1750,f8451]) ).
fof(f8451,plain,
( spl57_325
<=> ! [X0] :
( vd684 = vf(sK15(X0),sK15(X0))
| ~ rcircle(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_325])]) ).
fof(f1844,plain,
( ! [X0] :
( vd684 = vf(sK15(X0),sK15(X0))
| ~ rcircle(X0) )
| ~ spl57_24
| ~ spl57_44 ),
inference(resolution,[],[f1833,f1751]) ).
fof(f8449,plain,
( spl57_324
| ~ spl57_23
| ~ spl57_44 ),
inference(avatar_split_clause,[],[f1843,f1832,f1746,f8447]) ).
fof(f8447,plain,
( spl57_324
<=> ! [X0] :
( vd684 = vf(sK14(X0),sK14(X0))
| ~ rcircle(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_324])]) ).
fof(f1843,plain,
( ! [X0] :
( vd684 = vf(sK14(X0),sK14(X0))
| ~ rcircle(X0) )
| ~ spl57_23
| ~ spl57_44 ),
inference(resolution,[],[f1833,f1747]) ).
fof(f8445,plain,
( spl57_323
| ~ spl57_22
| ~ spl57_44 ),
inference(avatar_split_clause,[],[f1842,f1832,f1742,f8443]) ).
fof(f8443,plain,
( spl57_323
<=> ! [X0] :
( vd684 = vf(sK13(X0),sK13(X0))
| ~ rcircle(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_323])]) ).
fof(f1842,plain,
( ! [X0] :
( vd684 = vf(sK13(X0),sK13(X0))
| ~ rcircle(X0) )
| ~ spl57_22
| ~ spl57_44 ),
inference(resolution,[],[f1833,f1743]) ).
fof(f8290,plain,
( ~ spl57_1
| ~ spl57_11
| spl57_322
| ~ spl57_4
| ~ spl57_261 ),
inference(avatar_split_clause,[],[f5197,f5105,f1652,f8288,f1687,f1637]) ).
fof(f8288,plain,
( spl57_322
<=> ! [X0,X1] :
( rR(X0,X1,sK6)
| rR(sK6,X0,X1)
| ~ ron(X1,sK5)
| ~ ron(X0,sK5)
| sK6 = X1
| sK6 = X0
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0)
| rR(X1,X0,sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_322])]) ).
fof(f5105,plain,
( spl57_261
<=> ! [X5,X4,X7,X6] :
( rR(X7,X5,X6)
| rR(X5,X6,X7)
| rR(X6,X5,X7)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X5 = X6
| X5 = X7
| X6 = X7
| ~ rline(X4)
| ~ ron(X5,X4)
| ~ ron(X6,X4)
| ~ ron(X7,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_261])]) ).
fof(f5197,plain,
( ! [X0,X1] :
( rR(X0,X1,sK6)
| rR(X1,X0,sK6)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(sK6)
| X0 = X1
| sK6 = X0
| sK6 = X1
| ~ rline(sK5)
| ~ ron(X0,sK5)
| ~ ron(X1,sK5)
| rR(sK6,X0,X1) )
| ~ spl57_4
| ~ spl57_261 ),
inference(resolution,[],[f5106,f1654]) ).
fof(f5106,plain,
( ! [X6,X7,X4,X5] :
( ~ ron(X7,X4)
| rR(X5,X6,X7)
| rR(X6,X5,X7)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X5 = X6
| X5 = X7
| X6 = X7
| ~ rline(X4)
| ~ ron(X5,X4)
| ~ ron(X6,X4)
| rR(X7,X5,X6) )
| ~ spl57_261 ),
inference(avatar_component_clause,[],[f5105]) ).
fof(f8135,plain,
( ~ spl57_1
| ~ spl57_9
| spl57_321
| ~ spl57_3
| ~ spl57_261 ),
inference(avatar_split_clause,[],[f5196,f5105,f1647,f8133,f1677,f1637]) ).
fof(f8133,plain,
( spl57_321
<=> ! [X0,X1] :
( rR(X0,X1,sK8)
| rR(sK8,X0,X1)
| ~ ron(X1,sK5)
| ~ ron(X0,sK5)
| sK8 = X1
| sK8 = X0
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0)
| rR(X1,X0,sK8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_321])]) ).
fof(f5196,plain,
( ! [X0,X1] :
( rR(X0,X1,sK8)
| rR(X1,X0,sK8)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(sK8)
| X0 = X1
| sK8 = X0
| sK8 = X1
| ~ rline(sK5)
| ~ ron(X0,sK5)
| ~ ron(X1,sK5)
| rR(sK8,X0,X1) )
| ~ spl57_3
| ~ spl57_261 ),
inference(resolution,[],[f5106,f1649]) ).
fof(f8047,plain,
( spl57_320
| ~ spl57_8
| ~ spl57_17
| ~ spl57_311 ),
inference(avatar_split_clause,[],[f7746,f7659,f1717,f1672,f8044]) ).
fof(f8044,plain,
( spl57_320
<=> rintersect(vd1407,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_320])]) ).
fof(f7746,plain,
( ~ rline(vd1407)
| rintersect(vd1407,sK5)
| ~ spl57_17
| ~ spl57_311 ),
inference(resolution,[],[f7660,f1719]) ).
fof(f7867,plain,
( ~ spl57_1
| ~ spl57_11
| spl57_319
| ~ spl57_4
| ~ spl57_247 ),
inference(avatar_split_clause,[],[f4884,f4844,f1652,f7865,f1687,f1637]) ).
fof(f7865,plain,
( spl57_319
<=> ! [X0,X1] :
( vd684 = vangle(X0,X1,sK6)
| ~ ron(X0,sK5)
| ~ ron(X1,sK5)
| sK6 = X1
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X1,X0,sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_319])]) ).
fof(f4844,plain,
( spl57_247
<=> ! [X3,X7,X5,X1] :
( vd684 = vangle(X3,X1,X5)
| ~ ron(X5,X7)
| rR(X1,X3,X5)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rline(X7)
| X1 = X3
| X1 = X5
| ~ ron(X1,X7)
| ~ ron(X3,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_247])]) ).
fof(f4884,plain,
( ! [X0,X1] :
( vd684 = vangle(X0,X1,sK6)
| rR(X1,X0,sK6)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK6)
| ~ rline(sK5)
| X0 = X1
| sK6 = X1
| ~ ron(X1,sK5)
| ~ ron(X0,sK5) )
| ~ spl57_4
| ~ spl57_247 ),
inference(resolution,[],[f4845,f1654]) ).
fof(f4845,plain,
( ! [X3,X1,X7,X5] :
( ~ ron(X5,X7)
| vd684 = vangle(X3,X1,X5)
| rR(X1,X3,X5)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rline(X7)
| X1 = X3
| X1 = X5
| ~ ron(X1,X7)
| ~ ron(X3,X7) )
| ~ spl57_247 ),
inference(avatar_component_clause,[],[f4844]) ).
fof(f7814,plain,
( ~ spl57_1
| ~ spl57_9
| spl57_318
| ~ spl57_3
| ~ spl57_247 ),
inference(avatar_split_clause,[],[f4883,f4844,f1647,f7812,f1677,f1637]) ).
fof(f7812,plain,
( spl57_318
<=> ! [X0,X1] :
( vd684 = vangle(X0,X1,sK8)
| ~ ron(X0,sK5)
| ~ ron(X1,sK5)
| sK8 = X1
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X1,X0,sK8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_318])]) ).
fof(f4883,plain,
( ! [X0,X1] :
( vd684 = vangle(X0,X1,sK8)
| rR(X1,X0,sK8)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK8)
| ~ rline(sK5)
| X0 = X1
| sK8 = X1
| ~ ron(X1,sK5)
| ~ ron(X0,sK5) )
| ~ spl57_3
| ~ spl57_247 ),
inference(resolution,[],[f4845,f1649]) ).
fof(f7782,plain,
( ~ spl57_1
| ~ spl57_11
| spl57_317
| ~ spl57_4
| ~ spl57_217 ),
inference(avatar_split_clause,[],[f4434,f4312,f1652,f7780,f1687,f1637]) ).
fof(f7780,plain,
( spl57_317
<=> ! [X0,X1] :
( vd684 = vg(X0,X1,sK6)
| ~ ron(X1,sK5)
| ~ ron(X0,sK5)
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_317])]) ).
fof(f4312,plain,
( spl57_217
<=> ! [X5,X4,X7,X6] :
( vd684 = vg(X5,X6,X7)
| ~ ron(X7,X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rline(X4)
| X5 = X6
| ~ ron(X5,X4)
| ~ ron(X6,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_217])]) ).
fof(f4434,plain,
( ! [X0,X1] :
( vd684 = vg(X0,X1,sK6)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(sK6)
| ~ rline(sK5)
| X0 = X1
| ~ ron(X0,sK5)
| ~ ron(X1,sK5) )
| ~ spl57_4
| ~ spl57_217 ),
inference(resolution,[],[f4313,f1654]) ).
fof(f4313,plain,
( ! [X6,X7,X4,X5] :
( ~ ron(X7,X4)
| vd684 = vg(X5,X6,X7)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rline(X4)
| X5 = X6
| ~ ron(X5,X4)
| ~ ron(X6,X4) )
| ~ spl57_217 ),
inference(avatar_component_clause,[],[f4312]) ).
fof(f7744,plain,
( ~ spl57_1
| ~ spl57_9
| spl57_316
| ~ spl57_3
| ~ spl57_217 ),
inference(avatar_split_clause,[],[f4433,f4312,f1647,f7742,f1677,f1637]) ).
fof(f7742,plain,
( spl57_316
<=> ! [X0,X1] :
( vd684 = vg(X0,X1,sK8)
| ~ ron(X1,sK5)
| ~ ron(X0,sK5)
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_316])]) ).
fof(f4433,plain,
( ! [X0,X1] :
( vd684 = vg(X0,X1,sK8)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(sK8)
| ~ rline(sK5)
| X0 = X1
| ~ ron(X0,sK5)
| ~ ron(X1,sK5) )
| ~ spl57_3
| ~ spl57_217 ),
inference(resolution,[],[f4313,f1649]) ).
fof(f7733,plain,
( ~ spl57_1
| ~ spl57_11
| spl57_315
| ~ spl57_4
| ~ spl57_216 ),
inference(avatar_split_clause,[],[f4396,f4308,f1652,f7731,f1687,f1637]) ).
fof(f4308,plain,
( spl57_216
<=> ! [X5,X4,X7,X6] :
( X6 = X7
| ~ rpoint(X4)
| ~ rpoint(X5)
| X4 = X5
| ~ rline(X6)
| ~ rline(X7)
| ~ ron(X4,X6)
| ~ ron(X4,X7)
| ~ ron(X5,X6)
| ~ ron(X5,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_216])]) ).
fof(f4396,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK6)
| sK6 = X0
| ~ rline(X1)
| ~ rline(sK5)
| ~ ron(X0,X1)
| ~ ron(X0,sK5)
| ~ ron(sK6,X1)
| sK5 = X1 )
| ~ spl57_4
| ~ spl57_216 ),
inference(resolution,[],[f4309,f1654]) ).
fof(f4309,plain,
( ! [X6,X7,X4,X5] :
( ~ ron(X5,X7)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X4 = X5
| ~ rline(X6)
| ~ rline(X7)
| ~ ron(X4,X6)
| ~ ron(X4,X7)
| ~ ron(X5,X6)
| X6 = X7 )
| ~ spl57_216 ),
inference(avatar_component_clause,[],[f4308]) ).
fof(f7723,plain,
( ~ spl57_1
| ~ spl57_9
| spl57_314
| ~ spl57_3
| ~ spl57_216 ),
inference(avatar_split_clause,[],[f4395,f4308,f1647,f7721,f1677,f1637]) ).
fof(f4395,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK8)
| sK8 = X0
| ~ rline(X1)
| ~ rline(sK5)
| ~ ron(X0,X1)
| ~ ron(X0,sK5)
| ~ ron(sK8,X1)
| sK5 = X1 )
| ~ spl57_3
| ~ spl57_216 ),
inference(resolution,[],[f4309,f1649]) ).
fof(f7700,plain,
( ~ spl57_9
| spl57_313
| ~ spl57_1
| ~ spl57_3
| ~ spl57_187 ),
inference(avatar_split_clause,[],[f3668,f3127,f1647,f1637,f7698,f1677]) ).
fof(f7698,plain,
( spl57_313
<=> ! [X0,X1] :
( ~ rpoint(X0)
| ron(sK40(sK5,X0,X1),sK5)
| ~ ron(X0,sK5)
| ~ rpoint(X1)
| ~ ron(X1,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_313])]) ).
fof(f3668,plain,
( ! [X0,X1] :
( ~ rline(sK5)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(sK8)
| ~ ron(X0,sK5)
| ~ ron(X1,sK5)
| ron(sK40(sK5,X0,X1),sK5) )
| ~ spl57_3
| ~ spl57_187 ),
inference(resolution,[],[f3128,f1649]) ).
fof(f7685,plain,
( ~ spl57_9
| spl57_312
| ~ spl57_1
| ~ spl57_3
| ~ spl57_186 ),
inference(avatar_split_clause,[],[f3112,f3041,f1647,f1637,f7683,f1677]) ).
fof(f7683,plain,
( spl57_312
<=> ! [X0,X1] :
( ~ rpoint(X0)
| rpoint(sK40(sK5,X0,X1))
| ~ ron(X0,sK5)
| ~ rpoint(X1)
| ~ ron(X1,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_312])]) ).
fof(f3112,plain,
( ! [X0,X1] :
( ~ rline(sK5)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(sK8)
| ~ ron(X0,sK5)
| ~ ron(X1,sK5)
| rpoint(sK40(sK5,X0,X1)) )
| ~ spl57_3
| ~ spl57_186 ),
inference(resolution,[],[f3042,f1649]) ).
fof(f7661,plain,
( ~ spl57_11
| spl57_311
| ~ spl57_4
| ~ spl57_284 ),
inference(avatar_split_clause,[],[f6640,f6535,f1652,f7659,f1687]) ).
fof(f6640,plain,
( ! [X0] :
( ~ rline(X0)
| rintersect(X0,sK5)
| ~ ron(sK6,X0)
| ~ rpoint(sK6) )
| ~ spl57_4
| ~ spl57_284 ),
inference(resolution,[],[f6536,f1654]) ).
fof(f7657,plain,
( ~ spl57_1
| ~ spl57_11
| spl57_310
| ~ spl57_4
| ~ spl57_182 ),
inference(avatar_split_clause,[],[f3019,f2869,f1652,f7655,f1687,f1637]) ).
fof(f3019,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK6)
| ~ rline(X1)
| rS(X0,sK6,X1)
| ~ rline(sK5)
| ~ ron(X0,sK5)
| rintersect(X1,sK5) )
| ~ spl57_4
| ~ spl57_182 ),
inference(resolution,[],[f2870,f1654]) ).
fof(f7646,plain,
spl57_309,
inference(avatar_split_clause,[],[f1631,f7644]) ).
fof(f7644,plain,
( spl57_309
<=> ! [X31,X21,X28,X29,X18,X27,X19,X26,X20,X23,X17,X24,X22,X25,X32,X30,X33] :
( vangle(X28,X29,X30) = vangle(X31,X32,X33)
| ~ rpoint(X18)
| ~ rpoint(X19)
| ~ rpoint(X20)
| X18 = X19
| X18 = X20
| X19 = X20
| ~ rpoint(X21)
| ~ rpoint(X22)
| ~ rpoint(X23)
| ~ rpoint(X24)
| ~ rpoint(X25)
| ~ rpoint(X26)
| ~ rpoint(X27)
| ~ rpoint(X28)
| ~ rpoint(X29)
| ~ rpoint(X30)
| ~ rpoint(X31)
| ~ rpoint(X32)
| ~ rpoint(X33)
| ~ rline(X17)
| ~ ron(X21,X17)
| ~ ron(X22,X17)
| ron(X23,X17)
| sP4(X27,X26,X25,X24,X33,X32,X31,X30,X29,X28,X21,X18,X19,X20,X17,X22,X23) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_309])]) ).
fof(f1631,plain,
! [X23,X31,X21,X28,X29,X18,X19,X26,X27,X17,X24,X22,X25,X32,X30,X33,X20] :
( vangle(X28,X29,X30) = vangle(X31,X32,X33)
| ~ rpoint(X18)
| ~ rpoint(X19)
| ~ rpoint(X20)
| X18 = X19
| X18 = X20
| X19 = X20
| ~ rpoint(X21)
| ~ rpoint(X22)
| ~ rpoint(X23)
| ~ rpoint(X24)
| ~ rpoint(X25)
| ~ rpoint(X26)
| ~ rpoint(X27)
| ~ rpoint(X28)
| ~ rpoint(X29)
| ~ rpoint(X30)
| ~ rpoint(X31)
| ~ rpoint(X32)
| ~ rpoint(X33)
| ~ rline(X17)
| ~ ron(X21,X17)
| ~ ron(X22,X17)
| ron(X23,X17)
| sP4(X27,X26,X25,X24,X33,X32,X31,X30,X29,X28,X21,X18,X19,X20,X17,X22,X23) ),
inference(equality_resolution,[],[f1630]) ).
fof(f1630,plain,
! [X23,X31,X21,X28,X29,X18,X19,X26,X16,X27,X17,X24,X22,X25,X32,X30,X33,X20] :
( vangle(X28,X29,X30) = vangle(X31,X32,X33)
| ~ rpoint(X18)
| ~ rpoint(X19)
| ~ rpoint(X20)
| X18 = X19
| X18 = X20
| X19 = X20
| ~ rpoint(X21)
| ~ rpoint(X22)
| ~ rpoint(X23)
| ~ rpoint(X24)
| ~ rpoint(X25)
| ~ rpoint(X26)
| ~ rpoint(X27)
| ~ rpoint(X28)
| ~ rpoint(X29)
| ~ rpoint(X30)
| ~ rpoint(X31)
| ~ rpoint(X32)
| ~ rpoint(X33)
| ~ rline(X17)
| ~ ron(X21,X16)
| ~ ron(X22,X16)
| ron(X23,X16)
| sP4(X27,X26,X25,X24,X33,X32,X31,X30,X29,X28,X21,X18,X19,X20,X16,X22,X23)
| X16 != X17 ),
inference(equality_resolution,[],[f1629]) ).
fof(f1629,plain,
! [X25,X33,X31,X21,X28,X29,X18,X19,X26,X16,X27,X17,X15,X22,X24,X32,X30,X20,X23] :
( vangle(X28,X29,X30) = vangle(X31,X32,X15)
| ~ rpoint(X18)
| ~ rpoint(X19)
| ~ rpoint(X20)
| X18 = X19
| X18 = X20
| X19 = X20
| ~ rpoint(X21)
| ~ rpoint(X22)
| ~ rpoint(X23)
| ~ rpoint(X24)
| ~ rpoint(X25)
| ~ rpoint(X26)
| ~ rpoint(X27)
| ~ rpoint(X28)
| ~ rpoint(X29)
| ~ rpoint(X30)
| ~ rpoint(X31)
| ~ rpoint(X32)
| ~ rpoint(X33)
| X15 != X33
| ~ rline(X17)
| ~ ron(X21,X16)
| ~ ron(X22,X16)
| ron(X23,X16)
| sP4(X27,X26,X25,X24,X15,X32,X31,X30,X29,X28,X21,X18,X19,X20,X16,X22,X23)
| X16 != X17 ),
inference(equality_resolution,[],[f1628]) ).
fof(f1628,plain,
! [X32,X33,X31,X21,X28,X29,X18,X19,X26,X16,X14,X27,X17,X15,X22,X24,X23,X30,X20,X25] :
( vangle(X28,X29,X30) = vangle(X31,X14,X15)
| ~ rpoint(X18)
| ~ rpoint(X19)
| ~ rpoint(X20)
| X18 = X19
| X18 = X20
| X19 = X20
| ~ rpoint(X21)
| ~ rpoint(X22)
| ~ rpoint(X23)
| ~ rpoint(X24)
| ~ rpoint(X25)
| ~ rpoint(X26)
| ~ rpoint(X27)
| ~ rpoint(X28)
| ~ rpoint(X29)
| ~ rpoint(X30)
| ~ rpoint(X31)
| ~ rpoint(X32)
| X14 != X32
| ~ rpoint(X33)
| X15 != X33
| ~ rline(X17)
| ~ ron(X21,X16)
| ~ ron(X22,X16)
| ron(X23,X16)
| sP4(X27,X26,X25,X24,X15,X14,X31,X30,X29,X28,X21,X18,X19,X20,X16,X22,X23)
| X16 != X17 ),
inference(equality_resolution,[],[f1627]) ).
fof(f1627,plain,
! [X25,X32,X33,X31,X21,X28,X29,X18,X19,X26,X16,X14,X27,X17,X15,X22,X24,X23,X30,X13,X20] :
( vangle(X28,X29,X30) = vangle(X13,X14,X15)
| ~ rpoint(X18)
| ~ rpoint(X19)
| ~ rpoint(X20)
| X18 = X19
| X18 = X20
| X19 = X20
| ~ rpoint(X21)
| ~ rpoint(X22)
| ~ rpoint(X23)
| ~ rpoint(X24)
| ~ rpoint(X25)
| ~ rpoint(X26)
| ~ rpoint(X27)
| ~ rpoint(X28)
| ~ rpoint(X29)
| ~ rpoint(X30)
| ~ rpoint(X31)
| X13 != X31
| ~ rpoint(X32)
| X14 != X32
| ~ rpoint(X33)
| X15 != X33
| ~ rline(X17)
| ~ ron(X21,X16)
| ~ ron(X22,X16)
| ron(X23,X16)
| sP4(X27,X26,X25,X24,X15,X14,X13,X30,X29,X28,X21,X18,X19,X20,X16,X22,X23)
| X16 != X17 ),
inference(equality_resolution,[],[f1626]) ).
fof(f1626,plain,
! [X25,X30,X32,X31,X21,X28,X33,X29,X18,X19,X26,X16,X14,X27,X17,X15,X22,X12,X23,X13,X20,X24] :
( vangle(X13,X14,X15) = vangle(X28,X29,X12)
| ~ rpoint(X18)
| ~ rpoint(X19)
| ~ rpoint(X20)
| X18 = X19
| X18 = X20
| X19 = X20
| ~ rpoint(X21)
| ~ rpoint(X22)
| ~ rpoint(X23)
| ~ rpoint(X24)
| ~ rpoint(X25)
| ~ rpoint(X26)
| ~ rpoint(X27)
| ~ rpoint(X28)
| ~ rpoint(X29)
| ~ rpoint(X30)
| X12 != X30
| ~ rpoint(X31)
| X13 != X31
| ~ rpoint(X32)
| X14 != X32
| ~ rpoint(X33)
| X15 != X33
| ~ rline(X17)
| ~ ron(X21,X16)
| ~ ron(X22,X16)
| ron(X23,X16)
| sP4(X27,X26,X25,X24,X15,X14,X13,X12,X29,X28,X21,X18,X19,X20,X16,X22,X23)
| X16 != X17 ),
inference(equality_resolution,[],[f1625]) ).
fof(f1625,plain,
! [X25,X30,X32,X31,X21,X28,X33,X29,X11,X18,X19,X26,X16,X14,X27,X17,X15,X22,X12,X23,X13,X20,X24] :
( vangle(X13,X14,X15) = vangle(X28,X11,X12)
| ~ rpoint(X18)
| ~ rpoint(X19)
| ~ rpoint(X20)
| X18 = X19
| X18 = X20
| X19 = X20
| ~ rpoint(X21)
| ~ rpoint(X22)
| ~ rpoint(X23)
| ~ rpoint(X24)
| ~ rpoint(X25)
| ~ rpoint(X26)
| ~ rpoint(X27)
| ~ rpoint(X28)
| ~ rpoint(X29)
| X11 != X29
| ~ rpoint(X30)
| X12 != X30
| ~ rpoint(X31)
| X13 != X31
| ~ rpoint(X32)
| X14 != X32
| ~ rpoint(X33)
| X15 != X33
| ~ rline(X17)
| ~ ron(X21,X16)
| ~ ron(X22,X16)
| ron(X23,X16)
| sP4(X27,X26,X25,X24,X15,X14,X13,X12,X11,X28,X21,X18,X19,X20,X16,X22,X23)
| X16 != X17 ),
inference(equality_resolution,[],[f1624]) ).
fof(f1624,plain,
! [X21,X28,X11,X18,X16,X27,X15,X22,X25,X32,X13,X20,X31,X10,X29,X19,X26,X14,X17,X24,X12,X23,X30,X33] :
( vangle(X10,X11,X12) = vangle(X13,X14,X15)
| ~ rpoint(X18)
| ~ rpoint(X19)
| ~ rpoint(X20)
| X18 = X19
| X18 = X20
| X19 = X20
| ~ rpoint(X21)
| ~ rpoint(X22)
| ~ rpoint(X23)
| ~ rpoint(X24)
| ~ rpoint(X25)
| ~ rpoint(X26)
| ~ rpoint(X27)
| ~ rpoint(X28)
| X10 != X28
| ~ rpoint(X29)
| X11 != X29
| ~ rpoint(X30)
| X12 != X30
| ~ rpoint(X31)
| X13 != X31
| ~ rpoint(X32)
| X14 != X32
| ~ rpoint(X33)
| X15 != X33
| ~ rline(X17)
| ~ ron(X21,X16)
| ~ ron(X22,X16)
| ron(X23,X16)
| sP4(X27,X26,X25,X24,X15,X14,X13,X12,X11,X10,X21,X18,X19,X20,X16,X22,X23)
| X16 != X17 ),
inference(equality_resolution,[],[f1623]) ).
fof(f1623,plain,
! [X21,X28,X11,X18,X9,X16,X27,X15,X22,X25,X32,X13,X20,X31,X10,X29,X19,X26,X14,X17,X24,X12,X23,X30,X33] :
( vangle(X10,X11,X12) = vangle(X13,X14,X15)
| ~ rpoint(X18)
| ~ rpoint(X19)
| ~ rpoint(X20)
| X18 = X19
| X18 = X20
| X19 = X20
| ~ rpoint(X21)
| ~ rpoint(X22)
| ~ rpoint(X23)
| ~ rpoint(X24)
| ~ rpoint(X25)
| ~ rpoint(X26)
| ~ rpoint(X27)
| X9 != X27
| ~ rpoint(X28)
| X10 != X28
| ~ rpoint(X29)
| X11 != X29
| ~ rpoint(X30)
| X12 != X30
| ~ rpoint(X31)
| X13 != X31
| ~ rpoint(X32)
| X14 != X32
| ~ rpoint(X33)
| X15 != X33
| ~ rline(X17)
| ~ ron(X21,X16)
| ~ ron(X22,X16)
| ron(X23,X16)
| sP4(X9,X26,X25,X24,X15,X14,X13,X12,X11,X10,X21,X18,X19,X20,X16,X22,X23)
| X16 != X17 ),
inference(equality_resolution,[],[f1622]) ).
fof(f1622,plain,
! [X21,X28,X11,X18,X9,X16,X27,X15,X22,X25,X32,X13,X20,X31,X10,X29,X8,X19,X26,X14,X17,X24,X12,X23,X30,X33] :
( vangle(X10,X11,X12) = vangle(X13,X14,X15)
| ~ rpoint(X18)
| ~ rpoint(X19)
| ~ rpoint(X20)
| X18 = X19
| X18 = X20
| X19 = X20
| ~ rpoint(X21)
| ~ rpoint(X22)
| ~ rpoint(X23)
| ~ rpoint(X24)
| ~ rpoint(X25)
| ~ rpoint(X26)
| X8 != X26
| ~ rpoint(X27)
| X9 != X27
| ~ rpoint(X28)
| X10 != X28
| ~ rpoint(X29)
| X11 != X29
| ~ rpoint(X30)
| X12 != X30
| ~ rpoint(X31)
| X13 != X31
| ~ rpoint(X32)
| X14 != X32
| ~ rpoint(X33)
| X15 != X33
| ~ rline(X17)
| ~ ron(X21,X16)
| ~ ron(X22,X16)
| ron(X23,X16)
| sP4(X9,X8,X25,X24,X15,X14,X13,X12,X11,X10,X21,X18,X19,X20,X16,X22,X23)
| X16 != X17 ),
inference(equality_resolution,[],[f1621]) ).
fof(f1621,plain,
! [X21,X28,X11,X18,X9,X16,X27,X15,X22,X25,X32,X13,X20,X31,X10,X29,X8,X19,X26,X7,X14,X17,X24,X12,X23,X30,X33] :
( vangle(X10,X11,X12) = vangle(X13,X14,X15)
| ~ rpoint(X18)
| ~ rpoint(X19)
| ~ rpoint(X20)
| X18 = X19
| X18 = X20
| X19 = X20
| ~ rpoint(X21)
| ~ rpoint(X22)
| ~ rpoint(X23)
| ~ rpoint(X24)
| ~ rpoint(X25)
| X7 != X25
| ~ rpoint(X26)
| X8 != X26
| ~ rpoint(X27)
| X9 != X27
| ~ rpoint(X28)
| X10 != X28
| ~ rpoint(X29)
| X11 != X29
| ~ rpoint(X30)
| X12 != X30
| ~ rpoint(X31)
| X13 != X31
| ~ rpoint(X32)
| X14 != X32
| ~ rpoint(X33)
| X15 != X33
| ~ rline(X17)
| ~ ron(X21,X16)
| ~ ron(X22,X16)
| ron(X23,X16)
| sP4(X9,X8,X7,X24,X15,X14,X13,X12,X11,X10,X21,X18,X19,X20,X16,X22,X23)
| X16 != X17 ),
inference(equality_resolution,[],[f1620]) ).
fof(f1620,plain,
! [X21,X28,X11,X18,X6,X9,X16,X27,X15,X22,X25,X32,X13,X20,X31,X10,X29,X8,X19,X26,X7,X14,X17,X24,X12,X23,X30,X33] :
( vangle(X10,X11,X12) = vangle(X13,X14,X15)
| ~ rpoint(X18)
| ~ rpoint(X19)
| ~ rpoint(X20)
| X18 = X19
| X18 = X20
| X19 = X20
| ~ rpoint(X21)
| ~ rpoint(X22)
| ~ rpoint(X23)
| ~ rpoint(X24)
| X6 != X24
| ~ rpoint(X25)
| X7 != X25
| ~ rpoint(X26)
| X8 != X26
| ~ rpoint(X27)
| X9 != X27
| ~ rpoint(X28)
| X10 != X28
| ~ rpoint(X29)
| X11 != X29
| ~ rpoint(X30)
| X12 != X30
| ~ rpoint(X31)
| X13 != X31
| ~ rpoint(X32)
| X14 != X32
| ~ rpoint(X33)
| X15 != X33
| ~ rline(X17)
| ~ ron(X21,X16)
| ~ ron(X22,X16)
| ron(X23,X16)
| sP4(X9,X8,X7,X6,X15,X14,X13,X12,X11,X10,X21,X18,X19,X20,X16,X22,X23)
| X16 != X17 ),
inference(equality_resolution,[],[f1619]) ).
fof(f1619,plain,
! [X21,X28,X11,X18,X6,X9,X16,X27,X15,X22,X25,X32,X13,X20,X31,X10,X29,X8,X19,X26,X7,X14,X17,X24,X5,X12,X23,X30,X33] :
( vangle(X10,X11,X12) = vangle(X13,X14,X15)
| ~ rpoint(X18)
| ~ rpoint(X19)
| ~ rpoint(X20)
| X18 = X19
| X18 = X20
| X19 = X20
| ~ rpoint(X21)
| ~ rpoint(X22)
| ~ rpoint(X23)
| X5 != X23
| ~ rpoint(X24)
| X6 != X24
| ~ rpoint(X25)
| X7 != X25
| ~ rpoint(X26)
| X8 != X26
| ~ rpoint(X27)
| X9 != X27
| ~ rpoint(X28)
| X10 != X28
| ~ rpoint(X29)
| X11 != X29
| ~ rpoint(X30)
| X12 != X30
| ~ rpoint(X31)
| X13 != X31
| ~ rpoint(X32)
| X14 != X32
| ~ rpoint(X33)
| X15 != X33
| ~ rline(X17)
| ~ ron(X21,X16)
| ~ ron(X22,X16)
| ron(X5,X16)
| sP4(X9,X8,X7,X6,X15,X14,X13,X12,X11,X10,X21,X18,X19,X20,X16,X22,X5)
| X16 != X17 ),
inference(equality_resolution,[],[f1618]) ).
fof(f1618,plain,
! [X21,X28,X11,X18,X6,X9,X16,X27,X4,X15,X22,X25,X32,X13,X20,X31,X10,X29,X8,X19,X26,X7,X14,X17,X24,X5,X12,X23,X30,X33] :
( vangle(X10,X11,X12) = vangle(X13,X14,X15)
| ~ rpoint(X18)
| ~ rpoint(X19)
| ~ rpoint(X20)
| X18 = X19
| X18 = X20
| X19 = X20
| ~ rpoint(X21)
| ~ rpoint(X22)
| X4 != X22
| ~ rpoint(X23)
| X5 != X23
| ~ rpoint(X24)
| X6 != X24
| ~ rpoint(X25)
| X7 != X25
| ~ rpoint(X26)
| X8 != X26
| ~ rpoint(X27)
| X9 != X27
| ~ rpoint(X28)
| X10 != X28
| ~ rpoint(X29)
| X11 != X29
| ~ rpoint(X30)
| X12 != X30
| ~ rpoint(X31)
| X13 != X31
| ~ rpoint(X32)
| X14 != X32
| ~ rpoint(X33)
| X15 != X33
| ~ rline(X17)
| ~ ron(X21,X16)
| ~ ron(X4,X16)
| ron(X5,X16)
| sP4(X9,X8,X7,X6,X15,X14,X13,X12,X11,X10,X21,X18,X19,X20,X16,X4,X5)
| X16 != X17 ),
inference(equality_resolution,[],[f1617]) ).
fof(f1617,plain,
! [X21,X28,X11,X18,X6,X9,X16,X27,X4,X15,X22,X25,X32,X13,X20,X31,X3,X10,X29,X8,X19,X26,X7,X14,X17,X24,X5,X12,X23,X30,X33] :
( vangle(X10,X11,X12) = vangle(X13,X14,X15)
| ~ rpoint(X18)
| ~ rpoint(X19)
| ~ rpoint(X20)
| X18 = X19
| X18 = X20
| X19 = X20
| ~ rpoint(X21)
| X3 != X21
| ~ rpoint(X22)
| X4 != X22
| ~ rpoint(X23)
| X5 != X23
| ~ rpoint(X24)
| X6 != X24
| ~ rpoint(X25)
| X7 != X25
| ~ rpoint(X26)
| X8 != X26
| ~ rpoint(X27)
| X9 != X27
| ~ rpoint(X28)
| X10 != X28
| ~ rpoint(X29)
| X11 != X29
| ~ rpoint(X30)
| X12 != X30
| ~ rpoint(X31)
| X13 != X31
| ~ rpoint(X32)
| X14 != X32
| ~ rpoint(X33)
| X15 != X33
| ~ rline(X17)
| ~ ron(X3,X16)
| ~ ron(X4,X16)
| ron(X5,X16)
| sP4(X9,X8,X7,X6,X15,X14,X13,X12,X11,X10,X3,X18,X19,X20,X16,X4,X5)
| X16 != X17 ),
inference(equality_resolution,[],[f1616]) ).
fof(f1616,plain,
! [X2,X21,X28,X11,X18,X6,X9,X16,X27,X4,X15,X22,X25,X32,X13,X20,X31,X3,X10,X29,X8,X19,X26,X7,X14,X17,X24,X5,X12,X23,X30,X33] :
( vangle(X10,X11,X12) = vangle(X13,X14,X15)
| ~ rpoint(X18)
| ~ rpoint(X19)
| ~ rpoint(X20)
| X2 != X20
| X18 = X19
| X2 = X18
| X2 = X19
| ~ rpoint(X21)
| X3 != X21
| ~ rpoint(X22)
| X4 != X22
| ~ rpoint(X23)
| X5 != X23
| ~ rpoint(X24)
| X6 != X24
| ~ rpoint(X25)
| X7 != X25
| ~ rpoint(X26)
| X8 != X26
| ~ rpoint(X27)
| X9 != X27
| ~ rpoint(X28)
| X10 != X28
| ~ rpoint(X29)
| X11 != X29
| ~ rpoint(X30)
| X12 != X30
| ~ rpoint(X31)
| X13 != X31
| ~ rpoint(X32)
| X14 != X32
| ~ rpoint(X33)
| X15 != X33
| ~ rline(X17)
| ~ ron(X3,X16)
| ~ ron(X4,X16)
| ron(X5,X16)
| sP4(X9,X8,X7,X6,X15,X14,X13,X12,X11,X10,X3,X18,X19,X2,X16,X4,X5)
| X16 != X17 ),
inference(equality_resolution,[],[f1615]) ).
fof(f1615,plain,
! [X2,X21,X28,X11,X18,X6,X9,X16,X27,X4,X15,X22,X25,X32,X13,X20,X31,X3,X10,X29,X1,X8,X19,X26,X7,X14,X17,X24,X5,X12,X23,X30,X33] :
( vangle(X10,X11,X12) = vangle(X13,X14,X15)
| ~ rpoint(X18)
| ~ rpoint(X19)
| X1 != X19
| ~ rpoint(X20)
| X2 != X20
| X1 = X18
| X2 = X18
| X1 = X2
| ~ rpoint(X21)
| X3 != X21
| ~ rpoint(X22)
| X4 != X22
| ~ rpoint(X23)
| X5 != X23
| ~ rpoint(X24)
| X6 != X24
| ~ rpoint(X25)
| X7 != X25
| ~ rpoint(X26)
| X8 != X26
| ~ rpoint(X27)
| X9 != X27
| ~ rpoint(X28)
| X10 != X28
| ~ rpoint(X29)
| X11 != X29
| ~ rpoint(X30)
| X12 != X30
| ~ rpoint(X31)
| X13 != X31
| ~ rpoint(X32)
| X14 != X32
| ~ rpoint(X33)
| X15 != X33
| ~ rline(X17)
| ~ ron(X3,X16)
| ~ ron(X4,X16)
| ron(X5,X16)
| sP4(X9,X8,X7,X6,X15,X14,X13,X12,X11,X10,X3,X18,X1,X2,X16,X4,X5)
| X16 != X17 ),
inference(equality_resolution,[],[f880]) ).
fof(f880,plain,
! [X2,X21,X28,X0,X11,X18,X6,X9,X16,X27,X4,X15,X22,X25,X32,X13,X20,X31,X3,X10,X29,X1,X8,X19,X26,X7,X14,X17,X24,X5,X12,X23,X30,X33] :
( vangle(X10,X11,X12) = vangle(X13,X14,X15)
| ~ rpoint(X18)
| X0 != X18
| ~ rpoint(X19)
| X1 != X19
| ~ rpoint(X20)
| X2 != X20
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rpoint(X21)
| X3 != X21
| ~ rpoint(X22)
| X4 != X22
| ~ rpoint(X23)
| X5 != X23
| ~ rpoint(X24)
| X6 != X24
| ~ rpoint(X25)
| X7 != X25
| ~ rpoint(X26)
| X8 != X26
| ~ rpoint(X27)
| X9 != X27
| ~ rpoint(X28)
| X10 != X28
| ~ rpoint(X29)
| X11 != X29
| ~ rpoint(X30)
| X12 != X30
| ~ rpoint(X31)
| X13 != X31
| ~ rpoint(X32)
| X14 != X32
| ~ rpoint(X33)
| X15 != X33
| ~ rline(X17)
| ~ ron(X3,X16)
| ~ ron(X4,X16)
| ron(X5,X16)
| sP4(X9,X8,X7,X6,X15,X14,X13,X12,X11,X10,X3,X0,X1,X2,X16,X4,X5)
| X16 != X17 ),
inference(cnf_transformation,[],[f472]) ).
fof(f472,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17] :
( ( vf(X6,X7) = vf(X8,X9)
& vangle(X10,X11,X12) = vangle(X13,X14,X15) )
| ! [X18] :
( ~ rpoint(X18)
| X0 != X18 )
| ! [X19] :
( ~ rpoint(X19)
| X1 != X19 )
| ! [X20] :
( ~ rpoint(X20)
| X2 != X20 )
| X0 = X1
| X0 = X2
| X1 = X2
| ! [X21] :
( ~ rpoint(X21)
| X3 != X21 )
| ! [X22] :
( ~ rpoint(X22)
| X4 != X22 )
| ! [X23] :
( ~ rpoint(X23)
| X5 != X23 )
| ! [X24] :
( ~ rpoint(X24)
| X6 != X24 )
| ! [X25] :
( ~ rpoint(X25)
| X7 != X25 )
| ! [X26] :
( ~ rpoint(X26)
| X8 != X26 )
| ! [X27] :
( ~ rpoint(X27)
| X9 != X27 )
| ! [X28] :
( ~ rpoint(X28)
| X10 != X28 )
| ! [X29] :
( ~ rpoint(X29)
| X11 != X29 )
| ! [X30] :
( ~ rpoint(X30)
| X12 != X30 )
| ! [X31] :
( ~ rpoint(X31)
| X13 != X31 )
| ! [X32] :
( ~ rpoint(X32)
| X14 != X32 )
| ! [X33] :
( ~ rpoint(X33)
| X15 != X33 )
| ~ rline(X17)
| ~ ron(X3,X16)
| ~ ron(X4,X16)
| ron(X5,X16)
| sP4(X9,X8,X7,X6,X15,X14,X13,X12,X11,X10,X3,X0,X1,X2,X16,X4,X5)
| X16 != X17 ),
inference(definition_folding,[],[f462,f471]) ).
fof(f471,plain,
! [X9,X8,X7,X6,X15,X14,X13,X12,X11,X10,X3,X0,X1,X2,X16,X4,X5] :
( ? [X34,X35,X36] :
( ( vf(X6,X7) != vf(X8,X9)
| vangle(X10,X11,X12) != vangle(X13,X14,X15) )
& rpoint(X34)
& rpoint(X35)
& rpoint(X36)
& X3 = X34
& vangle(X2,X1,X0) = vangle(X36,X35,X34)
& vangle(X1,X0,X2) = vangle(X35,X34,X36)
& vangle(X0,X2,X1) = vangle(X34,X36,X35)
& vf(X0,X1) = vf(X34,X35)
& vf(X1,X2) = vf(X35,X36)
& vf(X0,X2) = vf(X34,X36)
& ron(X35,X16)
& ~ rR(X3,X35,X4)
& rS(X36,X5,X16) )
| ~ sP4(X9,X8,X7,X6,X15,X14,X13,X12,X11,X10,X3,X0,X1,X2,X16,X4,X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f462,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17] :
( ( vf(X6,X7) = vf(X8,X9)
& vangle(X10,X11,X12) = vangle(X13,X14,X15) )
| ! [X18] :
( ~ rpoint(X18)
| X0 != X18 )
| ! [X19] :
( ~ rpoint(X19)
| X1 != X19 )
| ! [X20] :
( ~ rpoint(X20)
| X2 != X20 )
| X0 = X1
| X0 = X2
| X1 = X2
| ! [X21] :
( ~ rpoint(X21)
| X3 != X21 )
| ! [X22] :
( ~ rpoint(X22)
| X4 != X22 )
| ! [X23] :
( ~ rpoint(X23)
| X5 != X23 )
| ! [X24] :
( ~ rpoint(X24)
| X6 != X24 )
| ! [X25] :
( ~ rpoint(X25)
| X7 != X25 )
| ! [X26] :
( ~ rpoint(X26)
| X8 != X26 )
| ! [X27] :
( ~ rpoint(X27)
| X9 != X27 )
| ! [X28] :
( ~ rpoint(X28)
| X10 != X28 )
| ! [X29] :
( ~ rpoint(X29)
| X11 != X29 )
| ! [X30] :
( ~ rpoint(X30)
| X12 != X30 )
| ! [X31] :
( ~ rpoint(X31)
| X13 != X31 )
| ! [X32] :
( ~ rpoint(X32)
| X14 != X32 )
| ! [X33] :
( ~ rpoint(X33)
| X15 != X33 )
| ~ rline(X17)
| ~ ron(X3,X16)
| ~ ron(X4,X16)
| ron(X5,X16)
| ? [X34,X35,X36] :
( ( vf(X6,X7) != vf(X8,X9)
| vangle(X10,X11,X12) != vangle(X13,X14,X15) )
& rpoint(X34)
& rpoint(X35)
& rpoint(X36)
& X3 = X34
& vangle(X2,X1,X0) = vangle(X36,X35,X34)
& vangle(X1,X0,X2) = vangle(X35,X34,X36)
& vangle(X0,X2,X1) = vangle(X34,X36,X35)
& vf(X0,X1) = vf(X34,X35)
& vf(X1,X2) = vf(X35,X36)
& vf(X0,X2) = vf(X34,X36)
& ron(X35,X16)
& ~ rR(X3,X35,X4)
& rS(X36,X5,X16) )
| X16 != X17 ),
inference(flattening,[],[f461]) ).
fof(f461,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17] :
( ( vf(X6,X7) = vf(X8,X9)
& vangle(X10,X11,X12) = vangle(X13,X14,X15) )
| ! [X18] :
( ~ rpoint(X18)
| X0 != X18 )
| ! [X19] :
( ~ rpoint(X19)
| X1 != X19 )
| ! [X20] :
( ~ rpoint(X20)
| X2 != X20 )
| X0 = X1
| X0 = X2
| X1 = X2
| ! [X21] :
( ~ rpoint(X21)
| X3 != X21 )
| ! [X22] :
( ~ rpoint(X22)
| X4 != X22 )
| ! [X23] :
( ~ rpoint(X23)
| X5 != X23 )
| ! [X24] :
( ~ rpoint(X24)
| X6 != X24 )
| ! [X25] :
( ~ rpoint(X25)
| X7 != X25 )
| ! [X26] :
( ~ rpoint(X26)
| X8 != X26 )
| ! [X27] :
( ~ rpoint(X27)
| X9 != X27 )
| ! [X28] :
( ~ rpoint(X28)
| X10 != X28 )
| ! [X29] :
( ~ rpoint(X29)
| X11 != X29 )
| ! [X30] :
( ~ rpoint(X30)
| X12 != X30 )
| ! [X31] :
( ~ rpoint(X31)
| X13 != X31 )
| ! [X32] :
( ~ rpoint(X32)
| X14 != X32 )
| ! [X33] :
( ~ rpoint(X33)
| X15 != X33 )
| ~ rline(X17)
| ~ ron(X3,X16)
| ~ ron(X4,X16)
| ron(X5,X16)
| ? [X34,X35,X36] :
( ( vf(X6,X7) != vf(X8,X9)
| vangle(X10,X11,X12) != vangle(X13,X14,X15) )
& rpoint(X34)
& rpoint(X35)
& rpoint(X36)
& X3 = X34
& vangle(X2,X1,X0) = vangle(X36,X35,X34)
& vangle(X1,X0,X2) = vangle(X35,X34,X36)
& vangle(X0,X2,X1) = vangle(X34,X36,X35)
& vf(X0,X1) = vf(X34,X35)
& vf(X1,X2) = vf(X35,X36)
& vf(X0,X2) = vf(X34,X36)
& ron(X35,X16)
& ~ rR(X3,X35,X4)
& rS(X36,X5,X16) )
| X16 != X17 ),
inference(ennf_transformation,[],[f240]) ).
fof(f240,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17] :
( ( ? [X18] :
( rpoint(X18)
& X0 = X18 )
& ? [X19] :
( rpoint(X19)
& X1 = X19 )
& ? [X20] :
( rpoint(X20)
& X2 = X20 )
& X0 != X1
& X0 != X2
& X1 != X2
& ? [X21] :
( rpoint(X21)
& X3 = X21 )
& ? [X22] :
( rpoint(X22)
& X4 = X22 )
& ? [X23] :
( rpoint(X23)
& X5 = X23 )
& ? [X24] :
( rpoint(X24)
& X6 = X24 )
& ? [X25] :
( rpoint(X25)
& X7 = X25 )
& ? [X26] :
( rpoint(X26)
& X8 = X26 )
& ? [X27] :
( rpoint(X27)
& X9 = X27 )
& ? [X28] :
( rpoint(X28)
& X10 = X28 )
& ? [X29] :
( rpoint(X29)
& X11 = X29 )
& ? [X30] :
( rpoint(X30)
& X12 = X30 )
& ? [X31] :
( rpoint(X31)
& X13 = X31 )
& ? [X32] :
( rpoint(X32)
& X14 = X32 )
& ? [X33] :
( rpoint(X33)
& X15 = X33 )
& rline(X17)
& ron(X3,X16)
& ron(X4,X16)
& ~ ron(X5,X16)
& ! [X34,X35,X36] :
( ( rpoint(X34)
& rpoint(X35)
& rpoint(X36)
& X3 = X34
& vangle(X2,X1,X0) = vangle(X36,X35,X34)
& vangle(X1,X0,X2) = vangle(X35,X34,X36)
& vangle(X0,X2,X1) = vangle(X34,X36,X35)
& vf(X0,X1) = vf(X34,X35)
& vf(X1,X2) = vf(X35,X36)
& vf(X0,X2) = vf(X34,X36)
& ron(X35,X16)
& ~ rR(X3,X35,X4)
& rS(X36,X5,X16) )
=> ( vf(X6,X7) = vf(X8,X9)
& vangle(X10,X11,X12) = vangle(X13,X14,X15) ) )
& X16 = X17 )
=> ( vf(X6,X7) = vf(X8,X9)
& vangle(X10,X11,X12) = vangle(X13,X14,X15) ) ),
inference(rectify,[],[f42]) ).
fof(f42,axiom,
! [X152,X153,X154,X155,X156,X157,X158,X159,X160,X161,X162,X163,X164,X165,X166,X167,X168,X169] :
( ( ? [X188] :
( rpoint(X188)
& X152 = X188 )
& ? [X187] :
( rpoint(X187)
& X153 = X187 )
& ? [X186] :
( rpoint(X186)
& X154 = X186 )
& X152 != X153
& X152 != X154
& X153 != X154
& ? [X185] :
( rpoint(X185)
& X155 = X185 )
& ? [X184] :
( rpoint(X184)
& X156 = X184 )
& ? [X183] :
( rpoint(X183)
& X157 = X183 )
& ? [X182] :
( rpoint(X182)
& X158 = X182 )
& ? [X181] :
( rpoint(X181)
& X159 = X181 )
& ? [X180] :
( rpoint(X180)
& X160 = X180 )
& ? [X179] :
( rpoint(X179)
& X161 = X179 )
& ? [X178] :
( rpoint(X178)
& X162 = X178 )
& ? [X177] :
( rpoint(X177)
& X163 = X177 )
& ? [X176] :
( rpoint(X176)
& X164 = X176 )
& ? [X175] :
( rpoint(X175)
& X165 = X175 )
& ? [X174] :
( rpoint(X174)
& X166 = X174 )
& ? [X173] :
( rpoint(X173)
& X167 = X173 )
& rline(X169)
& ron(X155,X168)
& ron(X156,X168)
& ~ ron(X157,X168)
& ! [X170,X171,X172] :
( ( rpoint(X170)
& rpoint(X171)
& rpoint(X172)
& X155 = X170
& vangle(X172,X171,X170) = vangle(X154,X153,X152)
& vangle(X171,X170,X172) = vangle(X153,X152,X154)
& vangle(X170,X172,X171) = vangle(X152,X154,X153)
& vf(X152,X153) = vf(X170,X171)
& vf(X153,X154) = vf(X171,X172)
& vf(X152,X154) = vf(X170,X172)
& ron(X171,X168)
& ~ rR(X155,X171,X156)
& rS(X172,X157,X168) )
=> ( vf(X158,X159) = vf(X160,X161)
& vangle(X162,X163,X164) = vangle(X165,X166,X167) ) )
& X168 = X169 )
=> ( vf(X158,X159) = vf(X160,X161)
& vangle(X162,X163,X164) = vangle(X165,X166,X167) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(204), 0), imp(cond(axiom(204), 0)))') ).
fof(f7639,plain,
spl57_308,
inference(avatar_split_clause,[],[f874,f7637]) ).
fof(f7637,plain,
( spl57_308
<=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X15,X5,X12,X13] :
( vangle(X13,X12,X11) = vangle(sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
| ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_308])]) ).
fof(f874,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X15,X5,X12,X13] :
( vangle(X13,X12,X11) = vangle(sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
| ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16) ),
inference(cnf_transformation,[],[f603]) ).
fof(f603,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16] :
( ( ( vf(X1,X0) != vf(X3,X2)
| vangle(X9,X8,X7) != vangle(X6,X5,X4) )
& rpoint(sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
& rpoint(sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
& rpoint(sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
& sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16) = X10
& vangle(X13,X12,X11) = vangle(sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
& vangle(X12,X11,X13) = vangle(sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
& vangle(X11,X13,X12) = vangle(sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
& vf(X11,X12) = vf(sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
& vf(X12,X13) = vf(sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
& vf(X11,X13) = vf(sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
& ron(sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),X14)
& ~ rR(X10,sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),X15)
& rS(sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),X16,X14) )
| ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK54,sK55,sK56])],[f601,f602]) ).
fof(f602,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16] :
( ? [X17,X18,X19] :
( ( vf(X1,X0) != vf(X3,X2)
| vangle(X9,X8,X7) != vangle(X6,X5,X4) )
& rpoint(X17)
& rpoint(X18)
& rpoint(X19)
& X10 = X17
& vangle(X13,X12,X11) = vangle(X19,X18,X17)
& vangle(X12,X11,X13) = vangle(X18,X17,X19)
& vangle(X11,X13,X12) = vangle(X17,X19,X18)
& vf(X11,X12) = vf(X17,X18)
& vf(X12,X13) = vf(X18,X19)
& vf(X11,X13) = vf(X17,X19)
& ron(X18,X14)
& ~ rR(X10,X18,X15)
& rS(X19,X16,X14) )
=> ( ( vf(X1,X0) != vf(X3,X2)
| vangle(X9,X8,X7) != vangle(X6,X5,X4) )
& rpoint(sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
& rpoint(sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
& rpoint(sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
& sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16) = X10
& vangle(X13,X12,X11) = vangle(sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
& vangle(X12,X11,X13) = vangle(sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
& vangle(X11,X13,X12) = vangle(sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
& vf(X11,X12) = vf(sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
& vf(X12,X13) = vf(sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
& vf(X11,X13) = vf(sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
& ron(sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),X14)
& ~ rR(X10,sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),X15)
& rS(sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),X16,X14) ) ),
introduced(choice_axiom,[]) ).
fof(f601,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16] :
( ? [X17,X18,X19] :
( ( vf(X1,X0) != vf(X3,X2)
| vangle(X9,X8,X7) != vangle(X6,X5,X4) )
& rpoint(X17)
& rpoint(X18)
& rpoint(X19)
& X10 = X17
& vangle(X13,X12,X11) = vangle(X19,X18,X17)
& vangle(X12,X11,X13) = vangle(X18,X17,X19)
& vangle(X11,X13,X12) = vangle(X17,X19,X18)
& vf(X11,X12) = vf(X17,X18)
& vf(X12,X13) = vf(X18,X19)
& vf(X11,X13) = vf(X17,X19)
& ron(X18,X14)
& ~ rR(X10,X18,X15)
& rS(X19,X16,X14) )
| ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16) ),
inference(rectify,[],[f600]) ).
fof(f600,plain,
! [X9,X8,X7,X6,X15,X14,X13,X12,X11,X10,X3,X0,X1,X2,X16,X4,X5] :
( ? [X34,X35,X36] :
( ( vf(X6,X7) != vf(X8,X9)
| vangle(X10,X11,X12) != vangle(X13,X14,X15) )
& rpoint(X34)
& rpoint(X35)
& rpoint(X36)
& X3 = X34
& vangle(X2,X1,X0) = vangle(X36,X35,X34)
& vangle(X1,X0,X2) = vangle(X35,X34,X36)
& vangle(X0,X2,X1) = vangle(X34,X36,X35)
& vf(X0,X1) = vf(X34,X35)
& vf(X1,X2) = vf(X35,X36)
& vf(X0,X2) = vf(X34,X36)
& ron(X35,X16)
& ~ rR(X3,X35,X4)
& rS(X36,X5,X16) )
| ~ sP4(X9,X8,X7,X6,X15,X14,X13,X12,X11,X10,X3,X0,X1,X2,X16,X4,X5) ),
inference(nnf_transformation,[],[f471]) ).
fof(f7635,plain,
spl57_307,
inference(avatar_split_clause,[],[f873,f7633]) ).
fof(f7633,plain,
( spl57_307
<=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X15,X5,X12,X13] :
( vangle(X12,X11,X13) = vangle(sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
| ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_307])]) ).
fof(f873,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X15,X5,X12,X13] :
( vangle(X12,X11,X13) = vangle(sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
| ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16) ),
inference(cnf_transformation,[],[f603]) ).
fof(f7631,plain,
spl57_306,
inference(avatar_split_clause,[],[f872,f7629]) ).
fof(f7629,plain,
( spl57_306
<=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X15,X5,X12,X13] :
( vangle(X11,X13,X12) = vangle(sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
| ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_306])]) ).
fof(f872,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X15,X5,X12,X13] :
( vangle(X11,X13,X12) = vangle(sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
| ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16) ),
inference(cnf_transformation,[],[f603]) ).
fof(f7623,plain,
spl57_305,
inference(avatar_split_clause,[],[f1614,f7621]) ).
fof(f7621,plain,
( spl57_305
<=> ! [X33,X31,X21,X28,X29,X18,X19,X26,X27,X17,X24,X22,X25,X23,X30,X20,X32] :
( vf(X26,X27) = vf(X24,X25)
| ~ rpoint(X18)
| ~ rpoint(X19)
| ~ rpoint(X20)
| X18 = X19
| X18 = X20
| X19 = X20
| ~ rpoint(X21)
| ~ rpoint(X22)
| ~ rpoint(X23)
| ~ rpoint(X24)
| ~ rpoint(X25)
| ~ rpoint(X26)
| ~ rpoint(X27)
| ~ rpoint(X28)
| ~ rpoint(X29)
| ~ rpoint(X30)
| ~ rpoint(X31)
| ~ rpoint(X32)
| ~ rpoint(X33)
| ~ rline(X17)
| ~ ron(X21,X17)
| ~ ron(X22,X17)
| ron(X23,X17)
| sP4(X27,X26,X25,X24,X33,X32,X31,X30,X29,X28,X21,X18,X19,X20,X17,X22,X23) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_305])]) ).
fof(f1614,plain,
! [X33,X31,X21,X28,X29,X18,X19,X26,X27,X17,X24,X22,X25,X23,X30,X20,X32] :
( vf(X26,X27) = vf(X24,X25)
| ~ rpoint(X18)
| ~ rpoint(X19)
| ~ rpoint(X20)
| X18 = X19
| X18 = X20
| X19 = X20
| ~ rpoint(X21)
| ~ rpoint(X22)
| ~ rpoint(X23)
| ~ rpoint(X24)
| ~ rpoint(X25)
| ~ rpoint(X26)
| ~ rpoint(X27)
| ~ rpoint(X28)
| ~ rpoint(X29)
| ~ rpoint(X30)
| ~ rpoint(X31)
| ~ rpoint(X32)
| ~ rpoint(X33)
| ~ rline(X17)
| ~ ron(X21,X17)
| ~ ron(X22,X17)
| ron(X23,X17)
| sP4(X27,X26,X25,X24,X33,X32,X31,X30,X29,X28,X21,X18,X19,X20,X17,X22,X23) ),
inference(equality_resolution,[],[f1613]) ).
fof(f1613,plain,
! [X33,X31,X21,X28,X29,X18,X19,X26,X16,X27,X17,X24,X22,X25,X23,X30,X20,X32] :
( vf(X26,X27) = vf(X24,X25)
| ~ rpoint(X18)
| ~ rpoint(X19)
| ~ rpoint(X20)
| X18 = X19
| X18 = X20
| X19 = X20
| ~ rpoint(X21)
| ~ rpoint(X22)
| ~ rpoint(X23)
| ~ rpoint(X24)
| ~ rpoint(X25)
| ~ rpoint(X26)
| ~ rpoint(X27)
| ~ rpoint(X28)
| ~ rpoint(X29)
| ~ rpoint(X30)
| ~ rpoint(X31)
| ~ rpoint(X32)
| ~ rpoint(X33)
| ~ rline(X17)
| ~ ron(X21,X16)
| ~ ron(X22,X16)
| ron(X23,X16)
| sP4(X27,X26,X25,X24,X33,X32,X31,X30,X29,X28,X21,X18,X19,X20,X16,X22,X23)
| X16 != X17 ),
inference(equality_resolution,[],[f1612]) ).
fof(f1612,plain,
! [X33,X15,X31,X21,X28,X29,X18,X19,X26,X16,X27,X17,X24,X22,X25,X23,X30,X20,X32] :
( vf(X26,X27) = vf(X24,X25)
| ~ rpoint(X18)
| ~ rpoint(X19)
| ~ rpoint(X20)
| X18 = X19
| X18 = X20
| X19 = X20
| ~ rpoint(X21)
| ~ rpoint(X22)
| ~ rpoint(X23)
| ~ rpoint(X24)
| ~ rpoint(X25)
| ~ rpoint(X26)
| ~ rpoint(X27)
| ~ rpoint(X28)
| ~ rpoint(X29)
| ~ rpoint(X30)
| ~ rpoint(X31)
| ~ rpoint(X32)
| ~ rpoint(X33)
| X15 != X33
| ~ rline(X17)
| ~ ron(X21,X16)
| ~ ron(X22,X16)
| ron(X23,X16)
| sP4(X27,X26,X25,X24,X15,X32,X31,X30,X29,X28,X21,X18,X19,X20,X16,X22,X23)
| X16 != X17 ),
inference(equality_resolution,[],[f1611]) ).
fof(f1611,plain,
! [X33,X15,X31,X21,X28,X29,X18,X19,X26,X16,X27,X14,X17,X24,X22,X25,X23,X30,X20,X32] :
( vf(X26,X27) = vf(X24,X25)
| ~ rpoint(X18)
| ~ rpoint(X19)
| ~ rpoint(X20)
| X18 = X19
| X18 = X20
| X19 = X20
| ~ rpoint(X21)
| ~ rpoint(X22)
| ~ rpoint(X23)
| ~ rpoint(X24)
| ~ rpoint(X25)
| ~ rpoint(X26)
| ~ rpoint(X27)
| ~ rpoint(X28)
| ~ rpoint(X29)
| ~ rpoint(X30)
| ~ rpoint(X31)
| ~ rpoint(X32)
| X14 != X32
| ~ rpoint(X33)
| X15 != X33
| ~ rline(X17)
| ~ ron(X21,X16)
| ~ ron(X22,X16)
| ron(X23,X16)
| sP4(X27,X26,X25,X24,X15,X14,X31,X30,X29,X28,X21,X18,X19,X20,X16,X22,X23)
| X16 != X17 ),
inference(equality_resolution,[],[f1610]) ).
fof(f1610,plain,
! [X32,X33,X15,X31,X21,X28,X29,X18,X19,X26,X16,X27,X14,X17,X24,X22,X25,X23,X30,X20,X13] :
( vf(X26,X27) = vf(X24,X25)
| ~ rpoint(X18)
| ~ rpoint(X19)
| ~ rpoint(X20)
| X18 = X19
| X18 = X20
| X19 = X20
| ~ rpoint(X21)
| ~ rpoint(X22)
| ~ rpoint(X23)
| ~ rpoint(X24)
| ~ rpoint(X25)
| ~ rpoint(X26)
| ~ rpoint(X27)
| ~ rpoint(X28)
| ~ rpoint(X29)
| ~ rpoint(X30)
| ~ rpoint(X31)
| X13 != X31
| ~ rpoint(X32)
| X14 != X32
| ~ rpoint(X33)
| X15 != X33
| ~ rline(X17)
| ~ ron(X21,X16)
| ~ ron(X22,X16)
| ron(X23,X16)
| sP4(X27,X26,X25,X24,X15,X14,X13,X30,X29,X28,X21,X18,X19,X20,X16,X22,X23)
| X16 != X17 ),
inference(equality_resolution,[],[f1609]) ).
fof(f1609,plain,
! [X13,X32,X33,X31,X21,X28,X15,X29,X18,X19,X26,X16,X27,X14,X17,X24,X22,X25,X23,X30,X20,X12] :
( vf(X26,X27) = vf(X24,X25)
| ~ rpoint(X18)
| ~ rpoint(X19)
| ~ rpoint(X20)
| X18 = X19
| X18 = X20
| X19 = X20
| ~ rpoint(X21)
| ~ rpoint(X22)
| ~ rpoint(X23)
| ~ rpoint(X24)
| ~ rpoint(X25)
| ~ rpoint(X26)
| ~ rpoint(X27)
| ~ rpoint(X28)
| ~ rpoint(X29)
| ~ rpoint(X30)
| X12 != X30
| ~ rpoint(X31)
| X13 != X31
| ~ rpoint(X32)
| X14 != X32
| ~ rpoint(X33)
| X15 != X33
| ~ rline(X17)
| ~ ron(X21,X16)
| ~ ron(X22,X16)
| ron(X23,X16)
| sP4(X27,X26,X25,X24,X15,X14,X13,X12,X29,X28,X21,X18,X19,X20,X16,X22,X23)
| X16 != X17 ),
inference(equality_resolution,[],[f1608]) ).
fof(f1608,plain,
! [X13,X32,X33,X31,X21,X28,X15,X29,X11,X18,X19,X26,X16,X27,X14,X17,X24,X22,X25,X23,X30,X20,X12] :
( vf(X26,X27) = vf(X24,X25)
| ~ rpoint(X18)
| ~ rpoint(X19)
| ~ rpoint(X20)
| X18 = X19
| X18 = X20
| X19 = X20
| ~ rpoint(X21)
| ~ rpoint(X22)
| ~ rpoint(X23)
| ~ rpoint(X24)
| ~ rpoint(X25)
| ~ rpoint(X26)
| ~ rpoint(X27)
| ~ rpoint(X28)
| ~ rpoint(X29)
| X11 != X29
| ~ rpoint(X30)
| X12 != X30
| ~ rpoint(X31)
| X13 != X31
| ~ rpoint(X32)
| X14 != X32
| ~ rpoint(X33)
| X15 != X33
| ~ rline(X17)
| ~ ron(X21,X16)
| ~ ron(X22,X16)
| ron(X23,X16)
| sP4(X27,X26,X25,X24,X15,X14,X13,X12,X11,X28,X21,X18,X19,X20,X16,X22,X23)
| X16 != X17 ),
inference(equality_resolution,[],[f1607]) ).
fof(f1607,plain,
! [X21,X28,X11,X18,X16,X27,X15,X22,X25,X32,X13,X20,X31,X10,X29,X19,X26,X14,X17,X24,X12,X23,X30,X33] :
( vf(X26,X27) = vf(X24,X25)
| ~ rpoint(X18)
| ~ rpoint(X19)
| ~ rpoint(X20)
| X18 = X19
| X18 = X20
| X19 = X20
| ~ rpoint(X21)
| ~ rpoint(X22)
| ~ rpoint(X23)
| ~ rpoint(X24)
| ~ rpoint(X25)
| ~ rpoint(X26)
| ~ rpoint(X27)
| ~ rpoint(X28)
| X10 != X28
| ~ rpoint(X29)
| X11 != X29
| ~ rpoint(X30)
| X12 != X30
| ~ rpoint(X31)
| X13 != X31
| ~ rpoint(X32)
| X14 != X32
| ~ rpoint(X33)
| X15 != X33
| ~ rline(X17)
| ~ ron(X21,X16)
| ~ ron(X22,X16)
| ron(X23,X16)
| sP4(X27,X26,X25,X24,X15,X14,X13,X12,X11,X10,X21,X18,X19,X20,X16,X22,X23)
| X16 != X17 ),
inference(equality_resolution,[],[f1606]) ).
fof(f1606,plain,
! [X21,X28,X11,X18,X9,X16,X27,X15,X22,X25,X32,X13,X20,X31,X10,X29,X19,X26,X14,X17,X24,X12,X23,X30,X33] :
( vf(X24,X25) = vf(X26,X9)
| ~ rpoint(X18)
| ~ rpoint(X19)
| ~ rpoint(X20)
| X18 = X19
| X18 = X20
| X19 = X20
| ~ rpoint(X21)
| ~ rpoint(X22)
| ~ rpoint(X23)
| ~ rpoint(X24)
| ~ rpoint(X25)
| ~ rpoint(X26)
| ~ rpoint(X27)
| X9 != X27
| ~ rpoint(X28)
| X10 != X28
| ~ rpoint(X29)
| X11 != X29
| ~ rpoint(X30)
| X12 != X30
| ~ rpoint(X31)
| X13 != X31
| ~ rpoint(X32)
| X14 != X32
| ~ rpoint(X33)
| X15 != X33
| ~ rline(X17)
| ~ ron(X21,X16)
| ~ ron(X22,X16)
| ron(X23,X16)
| sP4(X9,X26,X25,X24,X15,X14,X13,X12,X11,X10,X21,X18,X19,X20,X16,X22,X23)
| X16 != X17 ),
inference(equality_resolution,[],[f1605]) ).
fof(f1605,plain,
! [X21,X28,X11,X18,X9,X16,X27,X15,X22,X25,X32,X13,X20,X31,X10,X29,X8,X19,X26,X14,X17,X24,X12,X23,X30,X33] :
( vf(X8,X9) = vf(X24,X25)
| ~ rpoint(X18)
| ~ rpoint(X19)
| ~ rpoint(X20)
| X18 = X19
| X18 = X20
| X19 = X20
| ~ rpoint(X21)
| ~ rpoint(X22)
| ~ rpoint(X23)
| ~ rpoint(X24)
| ~ rpoint(X25)
| ~ rpoint(X26)
| X8 != X26
| ~ rpoint(X27)
| X9 != X27
| ~ rpoint(X28)
| X10 != X28
| ~ rpoint(X29)
| X11 != X29
| ~ rpoint(X30)
| X12 != X30
| ~ rpoint(X31)
| X13 != X31
| ~ rpoint(X32)
| X14 != X32
| ~ rpoint(X33)
| X15 != X33
| ~ rline(X17)
| ~ ron(X21,X16)
| ~ ron(X22,X16)
| ron(X23,X16)
| sP4(X9,X8,X25,X24,X15,X14,X13,X12,X11,X10,X21,X18,X19,X20,X16,X22,X23)
| X16 != X17 ),
inference(equality_resolution,[],[f1604]) ).
fof(f1604,plain,
! [X21,X28,X11,X18,X9,X16,X27,X15,X22,X25,X32,X13,X20,X31,X10,X29,X8,X19,X26,X7,X14,X17,X24,X12,X23,X30,X33] :
( vf(X8,X9) = vf(X24,X7)
| ~ rpoint(X18)
| ~ rpoint(X19)
| ~ rpoint(X20)
| X18 = X19
| X18 = X20
| X19 = X20
| ~ rpoint(X21)
| ~ rpoint(X22)
| ~ rpoint(X23)
| ~ rpoint(X24)
| ~ rpoint(X25)
| X7 != X25
| ~ rpoint(X26)
| X8 != X26
| ~ rpoint(X27)
| X9 != X27
| ~ rpoint(X28)
| X10 != X28
| ~ rpoint(X29)
| X11 != X29
| ~ rpoint(X30)
| X12 != X30
| ~ rpoint(X31)
| X13 != X31
| ~ rpoint(X32)
| X14 != X32
| ~ rpoint(X33)
| X15 != X33
| ~ rline(X17)
| ~ ron(X21,X16)
| ~ ron(X22,X16)
| ron(X23,X16)
| sP4(X9,X8,X7,X24,X15,X14,X13,X12,X11,X10,X21,X18,X19,X20,X16,X22,X23)
| X16 != X17 ),
inference(equality_resolution,[],[f1603]) ).
fof(f1603,plain,
! [X21,X28,X11,X18,X6,X9,X16,X27,X15,X22,X25,X32,X13,X20,X31,X10,X29,X8,X19,X26,X7,X14,X17,X24,X12,X23,X30,X33] :
( vf(X6,X7) = vf(X8,X9)
| ~ rpoint(X18)
| ~ rpoint(X19)
| ~ rpoint(X20)
| X18 = X19
| X18 = X20
| X19 = X20
| ~ rpoint(X21)
| ~ rpoint(X22)
| ~ rpoint(X23)
| ~ rpoint(X24)
| X6 != X24
| ~ rpoint(X25)
| X7 != X25
| ~ rpoint(X26)
| X8 != X26
| ~ rpoint(X27)
| X9 != X27
| ~ rpoint(X28)
| X10 != X28
| ~ rpoint(X29)
| X11 != X29
| ~ rpoint(X30)
| X12 != X30
| ~ rpoint(X31)
| X13 != X31
| ~ rpoint(X32)
| X14 != X32
| ~ rpoint(X33)
| X15 != X33
| ~ rline(X17)
| ~ ron(X21,X16)
| ~ ron(X22,X16)
| ron(X23,X16)
| sP4(X9,X8,X7,X6,X15,X14,X13,X12,X11,X10,X21,X18,X19,X20,X16,X22,X23)
| X16 != X17 ),
inference(equality_resolution,[],[f1602]) ).
fof(f1602,plain,
! [X21,X28,X11,X18,X6,X9,X16,X27,X15,X22,X25,X32,X13,X20,X31,X10,X29,X8,X19,X26,X7,X14,X17,X24,X5,X12,X23,X30,X33] :
( vf(X6,X7) = vf(X8,X9)
| ~ rpoint(X18)
| ~ rpoint(X19)
| ~ rpoint(X20)
| X18 = X19
| X18 = X20
| X19 = X20
| ~ rpoint(X21)
| ~ rpoint(X22)
| ~ rpoint(X23)
| X5 != X23
| ~ rpoint(X24)
| X6 != X24
| ~ rpoint(X25)
| X7 != X25
| ~ rpoint(X26)
| X8 != X26
| ~ rpoint(X27)
| X9 != X27
| ~ rpoint(X28)
| X10 != X28
| ~ rpoint(X29)
| X11 != X29
| ~ rpoint(X30)
| X12 != X30
| ~ rpoint(X31)
| X13 != X31
| ~ rpoint(X32)
| X14 != X32
| ~ rpoint(X33)
| X15 != X33
| ~ rline(X17)
| ~ ron(X21,X16)
| ~ ron(X22,X16)
| ron(X5,X16)
| sP4(X9,X8,X7,X6,X15,X14,X13,X12,X11,X10,X21,X18,X19,X20,X16,X22,X5)
| X16 != X17 ),
inference(equality_resolution,[],[f1601]) ).
fof(f1601,plain,
! [X21,X28,X11,X18,X6,X9,X16,X27,X4,X15,X22,X25,X32,X13,X20,X31,X10,X29,X8,X19,X26,X7,X14,X17,X24,X5,X12,X23,X30,X33] :
( vf(X6,X7) = vf(X8,X9)
| ~ rpoint(X18)
| ~ rpoint(X19)
| ~ rpoint(X20)
| X18 = X19
| X18 = X20
| X19 = X20
| ~ rpoint(X21)
| ~ rpoint(X22)
| X4 != X22
| ~ rpoint(X23)
| X5 != X23
| ~ rpoint(X24)
| X6 != X24
| ~ rpoint(X25)
| X7 != X25
| ~ rpoint(X26)
| X8 != X26
| ~ rpoint(X27)
| X9 != X27
| ~ rpoint(X28)
| X10 != X28
| ~ rpoint(X29)
| X11 != X29
| ~ rpoint(X30)
| X12 != X30
| ~ rpoint(X31)
| X13 != X31
| ~ rpoint(X32)
| X14 != X32
| ~ rpoint(X33)
| X15 != X33
| ~ rline(X17)
| ~ ron(X21,X16)
| ~ ron(X4,X16)
| ron(X5,X16)
| sP4(X9,X8,X7,X6,X15,X14,X13,X12,X11,X10,X21,X18,X19,X20,X16,X4,X5)
| X16 != X17 ),
inference(equality_resolution,[],[f1600]) ).
fof(f1600,plain,
! [X21,X28,X11,X18,X6,X9,X16,X27,X4,X15,X22,X25,X32,X13,X20,X31,X3,X10,X29,X8,X19,X26,X7,X14,X17,X24,X5,X12,X23,X30,X33] :
( vf(X6,X7) = vf(X8,X9)
| ~ rpoint(X18)
| ~ rpoint(X19)
| ~ rpoint(X20)
| X18 = X19
| X18 = X20
| X19 = X20
| ~ rpoint(X21)
| X3 != X21
| ~ rpoint(X22)
| X4 != X22
| ~ rpoint(X23)
| X5 != X23
| ~ rpoint(X24)
| X6 != X24
| ~ rpoint(X25)
| X7 != X25
| ~ rpoint(X26)
| X8 != X26
| ~ rpoint(X27)
| X9 != X27
| ~ rpoint(X28)
| X10 != X28
| ~ rpoint(X29)
| X11 != X29
| ~ rpoint(X30)
| X12 != X30
| ~ rpoint(X31)
| X13 != X31
| ~ rpoint(X32)
| X14 != X32
| ~ rpoint(X33)
| X15 != X33
| ~ rline(X17)
| ~ ron(X3,X16)
| ~ ron(X4,X16)
| ron(X5,X16)
| sP4(X9,X8,X7,X6,X15,X14,X13,X12,X11,X10,X3,X18,X19,X20,X16,X4,X5)
| X16 != X17 ),
inference(equality_resolution,[],[f1599]) ).
fof(f1599,plain,
! [X2,X21,X28,X11,X18,X6,X9,X16,X27,X4,X15,X22,X25,X32,X13,X20,X31,X3,X10,X29,X8,X19,X26,X7,X14,X17,X24,X5,X12,X23,X30,X33] :
( vf(X6,X7) = vf(X8,X9)
| ~ rpoint(X18)
| ~ rpoint(X19)
| ~ rpoint(X20)
| X2 != X20
| X18 = X19
| X2 = X18
| X2 = X19
| ~ rpoint(X21)
| X3 != X21
| ~ rpoint(X22)
| X4 != X22
| ~ rpoint(X23)
| X5 != X23
| ~ rpoint(X24)
| X6 != X24
| ~ rpoint(X25)
| X7 != X25
| ~ rpoint(X26)
| X8 != X26
| ~ rpoint(X27)
| X9 != X27
| ~ rpoint(X28)
| X10 != X28
| ~ rpoint(X29)
| X11 != X29
| ~ rpoint(X30)
| X12 != X30
| ~ rpoint(X31)
| X13 != X31
| ~ rpoint(X32)
| X14 != X32
| ~ rpoint(X33)
| X15 != X33
| ~ rline(X17)
| ~ ron(X3,X16)
| ~ ron(X4,X16)
| ron(X5,X16)
| sP4(X9,X8,X7,X6,X15,X14,X13,X12,X11,X10,X3,X18,X19,X2,X16,X4,X5)
| X16 != X17 ),
inference(equality_resolution,[],[f1598]) ).
fof(f1598,plain,
! [X2,X21,X28,X11,X18,X6,X9,X16,X27,X4,X15,X22,X25,X32,X13,X20,X31,X3,X10,X29,X1,X8,X19,X26,X7,X14,X17,X24,X5,X12,X23,X30,X33] :
( vf(X6,X7) = vf(X8,X9)
| ~ rpoint(X18)
| ~ rpoint(X19)
| X1 != X19
| ~ rpoint(X20)
| X2 != X20
| X1 = X18
| X2 = X18
| X1 = X2
| ~ rpoint(X21)
| X3 != X21
| ~ rpoint(X22)
| X4 != X22
| ~ rpoint(X23)
| X5 != X23
| ~ rpoint(X24)
| X6 != X24
| ~ rpoint(X25)
| X7 != X25
| ~ rpoint(X26)
| X8 != X26
| ~ rpoint(X27)
| X9 != X27
| ~ rpoint(X28)
| X10 != X28
| ~ rpoint(X29)
| X11 != X29
| ~ rpoint(X30)
| X12 != X30
| ~ rpoint(X31)
| X13 != X31
| ~ rpoint(X32)
| X14 != X32
| ~ rpoint(X33)
| X15 != X33
| ~ rline(X17)
| ~ ron(X3,X16)
| ~ ron(X4,X16)
| ron(X5,X16)
| sP4(X9,X8,X7,X6,X15,X14,X13,X12,X11,X10,X3,X18,X1,X2,X16,X4,X5)
| X16 != X17 ),
inference(equality_resolution,[],[f881]) ).
fof(f881,plain,
! [X2,X21,X28,X0,X11,X18,X6,X9,X16,X27,X4,X15,X22,X25,X32,X13,X20,X31,X3,X10,X29,X1,X8,X19,X26,X7,X14,X17,X24,X5,X12,X23,X30,X33] :
( vf(X6,X7) = vf(X8,X9)
| ~ rpoint(X18)
| X0 != X18
| ~ rpoint(X19)
| X1 != X19
| ~ rpoint(X20)
| X2 != X20
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rpoint(X21)
| X3 != X21
| ~ rpoint(X22)
| X4 != X22
| ~ rpoint(X23)
| X5 != X23
| ~ rpoint(X24)
| X6 != X24
| ~ rpoint(X25)
| X7 != X25
| ~ rpoint(X26)
| X8 != X26
| ~ rpoint(X27)
| X9 != X27
| ~ rpoint(X28)
| X10 != X28
| ~ rpoint(X29)
| X11 != X29
| ~ rpoint(X30)
| X12 != X30
| ~ rpoint(X31)
| X13 != X31
| ~ rpoint(X32)
| X14 != X32
| ~ rpoint(X33)
| X15 != X33
| ~ rline(X17)
| ~ ron(X3,X16)
| ~ ron(X4,X16)
| ron(X5,X16)
| sP4(X9,X8,X7,X6,X15,X14,X13,X12,X11,X10,X3,X0,X1,X2,X16,X4,X5)
| X16 != X17 ),
inference(cnf_transformation,[],[f472]) ).
fof(f7613,plain,
spl57_304,
inference(avatar_split_clause,[],[f1367,f7611]) ).
fof(f1367,plain,
! [X10,X11,X8,X6,X9,X7] :
( vg(X6,X7,X8) = vg(X9,X10,X11)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| vf(X9,X10) != vf(X6,X7)
| vf(X7,X8) != vf(X10,X11)
| vf(X8,X6) != vf(X11,X9)
| vangle(X9,X10,X11) != vangle(X6,X7,X8)
| vangle(X7,X8,X6) != vangle(X10,X11,X9)
| vangle(X8,X6,X7) != vangle(X11,X9,X10) ),
inference(equality_resolution,[],[f1366]) ).
fof(f1366,plain,
! [X10,X11,X8,X6,X9,X7,X5] :
( vg(X6,X7,X8) = vg(X9,X10,X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| X5 != X11
| vf(X9,X10) != vf(X6,X7)
| vf(X7,X8) != vf(X10,X5)
| vf(X8,X6) != vf(X5,X9)
| vangle(X6,X7,X8) != vangle(X9,X10,X5)
| vangle(X7,X8,X6) != vangle(X10,X5,X9)
| vangle(X8,X6,X7) != vangle(X5,X9,X10) ),
inference(equality_resolution,[],[f1365]) ).
fof(f1365,plain,
! [X10,X11,X8,X6,X9,X7,X4,X5] :
( vg(X6,X7,X8) = vg(X9,X4,X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X6,X7) != vf(X9,X4)
| vf(X4,X5) != vf(X7,X8)
| vf(X8,X6) != vf(X5,X9)
| vangle(X6,X7,X8) != vangle(X9,X4,X5)
| vangle(X7,X8,X6) != vangle(X4,X5,X9)
| vangle(X8,X6,X7) != vangle(X5,X9,X4) ),
inference(equality_resolution,[],[f1364]) ).
fof(f1364,plain,
! [X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( vg(X3,X4,X5) = vg(X6,X7,X8)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X3,X4) != vf(X6,X7)
| vf(X4,X5) != vf(X7,X8)
| vf(X5,X3) != vf(X8,X6)
| vangle(X3,X4,X5) != vangle(X6,X7,X8)
| vangle(X4,X5,X3) != vangle(X7,X8,X6)
| vangle(X5,X3,X4) != vangle(X8,X6,X7) ),
inference(equality_resolution,[],[f1363]) ).
fof(f1363,plain,
! [X2,X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( vg(X3,X4,X5) = vg(X6,X7,X2)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X2 != X8
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X3,X4) != vf(X6,X7)
| vf(X4,X5) != vf(X7,X2)
| vf(X5,X3) != vf(X2,X6)
| vangle(X3,X4,X5) != vangle(X6,X7,X2)
| vangle(X4,X5,X3) != vangle(X7,X2,X6)
| vangle(X5,X3,X4) != vangle(X2,X6,X7) ),
inference(equality_resolution,[],[f1362]) ).
fof(f1362,plain,
! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X4,X5] :
( vg(X3,X4,X5) = vg(X6,X1,X2)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X1 != X7
| ~ rpoint(X8)
| X2 != X8
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X3,X4) != vf(X6,X1)
| vf(X1,X2) != vf(X4,X5)
| vf(X5,X3) != vf(X2,X6)
| vangle(X3,X4,X5) != vangle(X6,X1,X2)
| vangle(X4,X5,X3) != vangle(X1,X2,X6)
| vangle(X5,X3,X4) != vangle(X2,X6,X1) ),
inference(equality_resolution,[],[f813]) ).
fof(f813,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( vg(X0,X1,X2) = vg(X3,X4,X5)
| ~ rpoint(X6)
| X0 != X6
| ~ rpoint(X7)
| X1 != X7
| ~ rpoint(X8)
| X2 != X8
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X0,X1) != vf(X3,X4)
| vf(X1,X2) != vf(X4,X5)
| vf(X2,X0) != vf(X5,X3)
| vangle(X0,X1,X2) != vangle(X3,X4,X5)
| vangle(X1,X2,X0) != vangle(X4,X5,X3)
| vangle(X2,X0,X1) != vangle(X5,X3,X4) ),
inference(cnf_transformation,[],[f420]) ).
fof(f420,plain,
! [X0,X1,X2,X3,X4,X5] :
( vg(X0,X1,X2) = vg(X3,X4,X5)
| ! [X6] :
( ~ rpoint(X6)
| X0 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X1 != X7 )
| ! [X8] :
( ~ rpoint(X8)
| X2 != X8 )
| ! [X9] :
( ~ rpoint(X9)
| X3 != X9 )
| ! [X10] :
( ~ rpoint(X10)
| X4 != X10 )
| ! [X11] :
( ~ rpoint(X11)
| X5 != X11 )
| vf(X0,X1) != vf(X3,X4)
| vf(X1,X2) != vf(X4,X5)
| vf(X2,X0) != vf(X5,X3)
| vangle(X0,X1,X2) != vangle(X3,X4,X5)
| vangle(X1,X2,X0) != vangle(X4,X5,X3)
| vangle(X2,X0,X1) != vangle(X5,X3,X4) ),
inference(flattening,[],[f419]) ).
fof(f419,plain,
! [X0,X1,X2,X3,X4,X5] :
( vg(X0,X1,X2) = vg(X3,X4,X5)
| ! [X6] :
( ~ rpoint(X6)
| X0 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X1 != X7 )
| ! [X8] :
( ~ rpoint(X8)
| X2 != X8 )
| ! [X9] :
( ~ rpoint(X9)
| X3 != X9 )
| ! [X10] :
( ~ rpoint(X10)
| X4 != X10 )
| ! [X11] :
( ~ rpoint(X11)
| X5 != X11 )
| vf(X0,X1) != vf(X3,X4)
| vf(X1,X2) != vf(X4,X5)
| vf(X2,X0) != vf(X5,X3)
| vangle(X0,X1,X2) != vangle(X3,X4,X5)
| vangle(X1,X2,X0) != vangle(X4,X5,X3)
| vangle(X2,X0,X1) != vangle(X5,X3,X4) ),
inference(ennf_transformation,[],[f219]) ).
fof(f219,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ? [X6] :
( rpoint(X6)
& X0 = X6 )
& ? [X7] :
( rpoint(X7)
& X1 = X7 )
& ? [X8] :
( rpoint(X8)
& X2 = X8 )
& ? [X9] :
( rpoint(X9)
& X3 = X9 )
& ? [X10] :
( rpoint(X10)
& X4 = X10 )
& ? [X11] :
( rpoint(X11)
& X5 = X11 )
& vf(X0,X1) = vf(X3,X4)
& vf(X1,X2) = vf(X4,X5)
& vf(X2,X0) = vf(X5,X3)
& vangle(X0,X1,X2) = vangle(X3,X4,X5)
& vangle(X1,X2,X0) = vangle(X4,X5,X3)
& vangle(X2,X0,X1) = vangle(X5,X3,X4) )
=> vg(X0,X1,X2) = vg(X3,X4,X5) ),
inference(rectify,[],[f122]) ).
fof(f122,axiom,
! [X743,X744,X745,X746,X747,X748] :
( ( ? [X754] :
( rpoint(X754)
& X743 = X754 )
& ? [X753] :
( rpoint(X753)
& X744 = X753 )
& ? [X752] :
( rpoint(X752)
& X745 = X752 )
& ? [X751] :
( rpoint(X751)
& X746 = X751 )
& ? [X750] :
( rpoint(X750)
& X747 = X750 )
& ? [X749] :
( rpoint(X749)
& X748 = X749 )
& vf(X743,X744) = vf(X746,X747)
& vf(X744,X745) = vf(X747,X748)
& vf(X745,X743) = vf(X748,X746)
& vangle(X743,X744,X745) = vangle(X746,X747,X748)
& vangle(X744,X745,X743) = vangle(X747,X748,X746)
& vangle(X745,X743,X744) = vangle(X748,X746,X747) )
=> vg(X743,X744,X745) = vg(X746,X747,X748) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(178), 0), imp(cond(axiom(178), 0)))') ).
fof(f7605,plain,
spl57_303,
inference(avatar_split_clause,[],[f1597,f7603]) ).
fof(f7603,plain,
( spl57_303
<=> ! [X15,X10,X11,X9,X13,X14,X12,X8] :
( rS(X12,X8,X14)
| ~ ron(X12,X13)
| ~ ron(X12,X14)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rline(X13)
| ~ rline(X14)
| ~ rline(X15)
| ~ ron(X8,X13)
| ~ ron(X9,X13)
| ~ ron(X9,X14)
| ~ ron(X10,X14)
| ~ ron(X10,X15)
| ~ ron(X11,X15)
| X9 = X10
| ~ rS(X8,X11,X14)
| ~ rless(vplus(vangle(X8,X9,X10),vangle(X9,X10,X11)),vplus(vperp,vperp)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_303])]) ).
fof(f1597,plain,
! [X10,X11,X8,X9,X14,X15,X12,X13] :
( rS(X12,X8,X14)
| ~ ron(X12,X13)
| ~ ron(X12,X14)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rline(X13)
| ~ rline(X14)
| ~ rline(X15)
| ~ ron(X8,X13)
| ~ ron(X9,X13)
| ~ ron(X9,X14)
| ~ ron(X10,X14)
| ~ ron(X10,X15)
| ~ ron(X11,X15)
| X9 = X10
| ~ rS(X8,X11,X14)
| ~ rless(vplus(vangle(X8,X9,X10),vangle(X9,X10,X11)),vplus(vperp,vperp)) ),
inference(equality_resolution,[],[f1596]) ).
fof(f1596,plain,
! [X10,X11,X8,X9,X7,X14,X15,X12,X13] :
( rS(X12,X8,X14)
| ~ ron(X12,X13)
| ~ ron(X12,X14)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rline(X13)
| ~ rline(X14)
| ~ rline(X15)
| X7 != X15
| ~ ron(X8,X13)
| ~ ron(X9,X13)
| ~ ron(X9,X14)
| ~ ron(X10,X14)
| ~ ron(X10,X7)
| ~ ron(X11,X7)
| X9 = X10
| ~ rS(X8,X11,X14)
| ~ rless(vplus(vangle(X8,X9,X10),vangle(X9,X10,X11)),vplus(vperp,vperp)) ),
inference(equality_resolution,[],[f1595]) ).
fof(f1595,plain,
! [X10,X11,X8,X6,X9,X7,X14,X15,X12,X13] :
( rS(X12,X8,X6)
| ~ ron(X12,X13)
| ~ ron(X12,X6)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rline(X13)
| ~ rline(X14)
| X6 != X14
| ~ rline(X15)
| X7 != X15
| ~ ron(X8,X13)
| ~ ron(X9,X13)
| ~ ron(X9,X6)
| ~ ron(X10,X6)
| ~ ron(X10,X7)
| ~ ron(X11,X7)
| X9 = X10
| ~ rS(X8,X11,X6)
| ~ rless(vplus(vangle(X8,X9,X10),vangle(X9,X10,X11)),vplus(vperp,vperp)) ),
inference(equality_resolution,[],[f1594]) ).
fof(f1594,plain,
! [X10,X11,X8,X6,X9,X7,X14,X15,X5,X12,X13] :
( rS(X12,X8,X6)
| ~ ron(X12,X5)
| ~ ron(X12,X6)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rline(X13)
| X5 != X13
| ~ rline(X14)
| X6 != X14
| ~ rline(X15)
| X7 != X15
| ~ ron(X8,X5)
| ~ ron(X9,X5)
| ~ ron(X9,X6)
| ~ ron(X10,X6)
| ~ ron(X10,X7)
| ~ ron(X11,X7)
| X9 = X10
| ~ rS(X8,X11,X6)
| ~ rless(vplus(vangle(X8,X9,X10),vangle(X9,X10,X11)),vplus(vperp,vperp)) ),
inference(equality_resolution,[],[f1593]) ).
fof(f1593,plain,
! [X10,X11,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
( rS(X4,X8,X6)
| ~ ron(X4,X5)
| ~ ron(X4,X6)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| X4 != X12
| ~ rline(X13)
| X5 != X13
| ~ rline(X14)
| X6 != X14
| ~ rline(X15)
| X7 != X15
| ~ ron(X8,X5)
| ~ ron(X9,X5)
| ~ ron(X9,X6)
| ~ ron(X10,X6)
| ~ ron(X10,X7)
| ~ ron(X11,X7)
| X9 = X10
| ~ rS(X8,X11,X6)
| ~ rless(vplus(vangle(X8,X9,X10),vangle(X9,X10,X11)),vplus(vperp,vperp)) ),
inference(equality_resolution,[],[f1592]) ).
fof(f1592,plain,
! [X3,X10,X11,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
( rS(X4,X8,X6)
| ~ ron(X4,X5)
| ~ ron(X4,X6)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| X3 != X11
| ~ rpoint(X12)
| X4 != X12
| ~ rline(X13)
| X5 != X13
| ~ rline(X14)
| X6 != X14
| ~ rline(X15)
| X7 != X15
| ~ ron(X8,X5)
| ~ ron(X9,X5)
| ~ ron(X9,X6)
| ~ ron(X10,X6)
| ~ ron(X10,X7)
| ~ ron(X3,X7)
| X9 = X10
| ~ rS(X8,X3,X6)
| ~ rless(vplus(vangle(X8,X9,X10),vangle(X9,X10,X3)),vplus(vperp,vperp)) ),
inference(equality_resolution,[],[f1591]) ).
fof(f1591,plain,
! [X2,X3,X10,X11,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
( rS(X4,X8,X6)
| ~ ron(X4,X5)
| ~ ron(X4,X6)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| X2 != X10
| ~ rpoint(X11)
| X3 != X11
| ~ rpoint(X12)
| X4 != X12
| ~ rline(X13)
| X5 != X13
| ~ rline(X14)
| X6 != X14
| ~ rline(X15)
| X7 != X15
| ~ ron(X8,X5)
| ~ ron(X9,X5)
| ~ ron(X9,X6)
| ~ ron(X2,X6)
| ~ ron(X2,X7)
| ~ ron(X3,X7)
| X2 = X9
| ~ rS(X8,X3,X6)
| ~ rless(vplus(vangle(X8,X9,X2),vangle(X9,X2,X3)),vplus(vperp,vperp)) ),
inference(equality_resolution,[],[f1590]) ).
fof(f1590,plain,
! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
( rS(X4,X8,X6)
| ~ ron(X4,X5)
| ~ ron(X4,X6)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X1 != X9
| ~ rpoint(X10)
| X2 != X10
| ~ rpoint(X11)
| X3 != X11
| ~ rpoint(X12)
| X4 != X12
| ~ rline(X13)
| X5 != X13
| ~ rline(X14)
| X6 != X14
| ~ rline(X15)
| X7 != X15
| ~ ron(X8,X5)
| ~ ron(X1,X5)
| ~ ron(X1,X6)
| ~ ron(X2,X6)
| ~ ron(X2,X7)
| ~ ron(X3,X7)
| X1 = X2
| ~ rS(X8,X3,X6)
| ~ rless(vplus(vangle(X8,X1,X2),vangle(X1,X2,X3)),vplus(vperp,vperp)) ),
inference(equality_resolution,[],[f864]) ).
fof(f864,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
( rS(X4,X0,X6)
| ~ ron(X4,X5)
| ~ ron(X4,X6)
| ~ rpoint(X8)
| X0 != X8
| ~ rpoint(X9)
| X1 != X9
| ~ rpoint(X10)
| X2 != X10
| ~ rpoint(X11)
| X3 != X11
| ~ rpoint(X12)
| X4 != X12
| ~ rline(X13)
| X5 != X13
| ~ rline(X14)
| X6 != X14
| ~ rline(X15)
| X7 != X15
| ~ ron(X0,X5)
| ~ ron(X1,X5)
| ~ ron(X1,X6)
| ~ ron(X2,X6)
| ~ ron(X2,X7)
| ~ ron(X3,X7)
| X1 = X2
| ~ rS(X0,X3,X6)
| ~ rless(vplus(vangle(X0,X1,X2),vangle(X1,X2,X3)),vplus(vperp,vperp)) ),
inference(cnf_transformation,[],[f460]) ).
fof(f460,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( rintersect(X5,X6)
& ( rS(X4,X0,X6)
| ~ ron(X4,X5)
| ~ ron(X4,X6) ) )
| ! [X8] :
( ~ rpoint(X8)
| X0 != X8 )
| ! [X9] :
( ~ rpoint(X9)
| X1 != X9 )
| ! [X10] :
( ~ rpoint(X10)
| X2 != X10 )
| ! [X11] :
( ~ rpoint(X11)
| X3 != X11 )
| ! [X12] :
( ~ rpoint(X12)
| X4 != X12 )
| ! [X13] :
( ~ rline(X13)
| X5 != X13 )
| ! [X14] :
( ~ rline(X14)
| X6 != X14 )
| ! [X15] :
( ~ rline(X15)
| X7 != X15 )
| ~ ron(X0,X5)
| ~ ron(X1,X5)
| ~ ron(X1,X6)
| ~ ron(X2,X6)
| ~ ron(X2,X7)
| ~ ron(X3,X7)
| X1 = X2
| ~ rS(X0,X3,X6)
| ~ rless(vplus(vangle(X0,X1,X2),vangle(X1,X2,X3)),vplus(vperp,vperp)) ),
inference(flattening,[],[f459]) ).
fof(f459,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( rintersect(X5,X6)
& ( rS(X4,X0,X6)
| ~ ron(X4,X5)
| ~ ron(X4,X6) ) )
| ! [X8] :
( ~ rpoint(X8)
| X0 != X8 )
| ! [X9] :
( ~ rpoint(X9)
| X1 != X9 )
| ! [X10] :
( ~ rpoint(X10)
| X2 != X10 )
| ! [X11] :
( ~ rpoint(X11)
| X3 != X11 )
| ! [X12] :
( ~ rpoint(X12)
| X4 != X12 )
| ! [X13] :
( ~ rline(X13)
| X5 != X13 )
| ! [X14] :
( ~ rline(X14)
| X6 != X14 )
| ! [X15] :
( ~ rline(X15)
| X7 != X15 )
| ~ ron(X0,X5)
| ~ ron(X1,X5)
| ~ ron(X1,X6)
| ~ ron(X2,X6)
| ~ ron(X2,X7)
| ~ ron(X3,X7)
| X1 = X2
| ~ rS(X0,X3,X6)
| ~ rless(vplus(vangle(X0,X1,X2),vangle(X1,X2,X3)),vplus(vperp,vperp)) ),
inference(ennf_transformation,[],[f239]) ).
fof(f239,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ? [X8] :
( rpoint(X8)
& X0 = X8 )
& ? [X9] :
( rpoint(X9)
& X1 = X9 )
& ? [X10] :
( rpoint(X10)
& X2 = X10 )
& ? [X11] :
( rpoint(X11)
& X3 = X11 )
& ? [X12] :
( rpoint(X12)
& X4 = X12 )
& ? [X13] :
( rline(X13)
& X5 = X13 )
& ? [X14] :
( rline(X14)
& X6 = X14 )
& ? [X15] :
( rline(X15)
& X7 = X15 )
& ron(X0,X5)
& ron(X1,X5)
& ron(X1,X6)
& ron(X2,X6)
& ron(X2,X7)
& ron(X3,X7)
& X1 != X2
& rS(X0,X3,X6)
& rless(vplus(vangle(X0,X1,X2),vangle(X1,X2,X3)),vplus(vperp,vperp)) )
=> ( rintersect(X5,X6)
& ( ( ron(X4,X5)
& ron(X4,X6) )
=> rS(X4,X0,X6) ) ) ),
inference(rectify,[],[f121]) ).
fof(f121,axiom,
! [X727,X728,X729,X730,X731,X732,X733,X734] :
( ( ? [X742] :
( rpoint(X742)
& X727 = X742 )
& ? [X741] :
( rpoint(X741)
& X728 = X741 )
& ? [X740] :
( rpoint(X740)
& X729 = X740 )
& ? [X739] :
( rpoint(X739)
& X730 = X739 )
& ? [X738] :
( rpoint(X738)
& X731 = X738 )
& ? [X737] :
( rline(X737)
& X732 = X737 )
& ? [X736] :
( rline(X736)
& X733 = X736 )
& ? [X735] :
( rline(X735)
& X734 = X735 )
& ron(X727,X732)
& ron(X728,X732)
& ron(X728,X733)
& ron(X729,X733)
& ron(X729,X734)
& ron(X730,X734)
& X728 != X729
& rS(X727,X730,X733)
& rless(vplus(vangle(X727,X728,X729),vangle(X728,X729,X730)),vplus(vperp,vperp)) )
=> ( rintersect(X732,X733)
& ( ( ron(X731,X732)
& ron(X731,X733) )
=> rS(X731,X727,X733) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(196), 0), imp(cond(axiom(196), 0)))') ).
fof(f7584,plain,
spl57_302,
inference(avatar_split_clause,[],[f1253,f7582]) ).
fof(f7582,plain,
( spl57_302
<=> ! [X10,X11,X9,X7,X6,X8] :
( vangle(X7,X6,X8) = vplus(vangle(X7,X6,X9),vangle(X9,X6,X8))
| ~ rS(X7,X9,X11)
| ~ rS(X8,X9,X10)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rline(X10)
| ~ rline(X11)
| ~ ron(X6,X10)
| ~ ron(X6,X11)
| ~ ron(X7,X10)
| ~ ron(X8,X11)
| X6 = X7
| X6 = X8
| ron(X9,X10)
| ron(X9,X11)
| X10 = X11 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_302])]) ).
fof(f1253,plain,
! [X10,X11,X8,X6,X9,X7] :
( vangle(X7,X6,X8) = vplus(vangle(X7,X6,X9),vangle(X9,X6,X8))
| ~ rS(X7,X9,X11)
| ~ rS(X8,X9,X10)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rline(X10)
| ~ rline(X11)
| ~ ron(X6,X10)
| ~ ron(X6,X11)
| ~ ron(X7,X10)
| ~ ron(X8,X11)
| X6 = X7
| X6 = X8
| ron(X9,X10)
| ron(X9,X11)
| X10 = X11 ),
inference(equality_resolution,[],[f1252]) ).
fof(f1252,plain,
! [X10,X11,X8,X6,X9,X7,X5] :
( vangle(X7,X6,X8) = vplus(vangle(X7,X6,X9),vangle(X9,X6,X8))
| ~ rS(X7,X9,X5)
| ~ rS(X8,X9,X10)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rline(X10)
| ~ rline(X11)
| X5 != X11
| ~ ron(X6,X10)
| ~ ron(X6,X5)
| ~ ron(X7,X10)
| ~ ron(X8,X5)
| X6 = X7
| X6 = X8
| ron(X9,X10)
| ron(X9,X5)
| X5 = X10 ),
inference(equality_resolution,[],[f1251]) ).
fof(f1251,plain,
! [X10,X11,X8,X6,X9,X7,X4,X5] :
( vangle(X7,X6,X8) = vplus(vangle(X7,X6,X9),vangle(X9,X6,X8))
| ~ rS(X7,X9,X5)
| ~ rS(X8,X9,X4)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rline(X10)
| X4 != X10
| ~ rline(X11)
| X5 != X11
| ~ ron(X6,X4)
| ~ ron(X6,X5)
| ~ ron(X7,X4)
| ~ ron(X8,X5)
| X6 = X7
| X6 = X8
| ron(X9,X4)
| ron(X9,X5)
| X4 = X5 ),
inference(equality_resolution,[],[f1250]) ).
fof(f1250,plain,
! [X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( vangle(X7,X6,X8) = vplus(vangle(X7,X6,X3),vangle(X3,X6,X8))
| ~ rS(X7,X3,X5)
| ~ rS(X8,X3,X4)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X3 != X9
| ~ rline(X10)
| X4 != X10
| ~ rline(X11)
| X5 != X11
| ~ ron(X6,X4)
| ~ ron(X6,X5)
| ~ ron(X7,X4)
| ~ ron(X8,X5)
| X6 = X7
| X6 = X8
| ron(X3,X4)
| ron(X3,X5)
| X4 = X5 ),
inference(equality_resolution,[],[f1249]) ).
fof(f1249,plain,
! [X2,X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( vangle(X7,X6,X2) = vplus(vangle(X7,X6,X3),vangle(X3,X6,X2))
| ~ rS(X7,X3,X5)
| ~ rS(X2,X3,X4)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X2 != X8
| ~ rpoint(X9)
| X3 != X9
| ~ rline(X10)
| X4 != X10
| ~ rline(X11)
| X5 != X11
| ~ ron(X6,X4)
| ~ ron(X6,X5)
| ~ ron(X7,X4)
| ~ ron(X2,X5)
| X6 = X7
| X2 = X6
| ron(X3,X4)
| ron(X3,X5)
| X4 = X5 ),
inference(equality_resolution,[],[f1248]) ).
fof(f1248,plain,
! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X4,X5] :
( vangle(X1,X6,X2) = vplus(vangle(X1,X6,X3),vangle(X3,X6,X2))
| ~ rS(X1,X3,X5)
| ~ rS(X2,X3,X4)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X1 != X7
| ~ rpoint(X8)
| X2 != X8
| ~ rpoint(X9)
| X3 != X9
| ~ rline(X10)
| X4 != X10
| ~ rline(X11)
| X5 != X11
| ~ ron(X6,X4)
| ~ ron(X6,X5)
| ~ ron(X1,X4)
| ~ ron(X2,X5)
| X1 = X6
| X2 = X6
| ron(X3,X4)
| ron(X3,X5)
| X4 = X5 ),
inference(equality_resolution,[],[f786]) ).
fof(f786,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( vangle(X1,X0,X2) = vplus(vangle(X1,X0,X3),vangle(X3,X0,X2))
| ~ rS(X1,X3,X5)
| ~ rS(X2,X3,X4)
| ~ rpoint(X6)
| X0 != X6
| ~ rpoint(X7)
| X1 != X7
| ~ rpoint(X8)
| X2 != X8
| ~ rpoint(X9)
| X3 != X9
| ~ rline(X10)
| X4 != X10
| ~ rline(X11)
| X5 != X11
| ~ ron(X0,X4)
| ~ ron(X0,X5)
| ~ ron(X1,X4)
| ~ ron(X2,X5)
| X0 = X1
| X0 = X2
| ron(X3,X4)
| ron(X3,X5)
| X4 = X5 ),
inference(cnf_transformation,[],[f564]) ).
fof(f564,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ( vangle(X1,X0,X2) = vplus(vangle(X1,X0,X3),vangle(X3,X0,X2))
| ~ rS(X1,X3,X5)
| ~ rS(X2,X3,X4) )
& ( ( rS(X1,X3,X5)
& rS(X2,X3,X4) )
| vangle(X1,X0,X2) != vplus(vangle(X1,X0,X3),vangle(X3,X0,X2)) ) )
| ! [X6] :
( ~ rpoint(X6)
| X0 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X1 != X7 )
| ! [X8] :
( ~ rpoint(X8)
| X2 != X8 )
| ! [X9] :
( ~ rpoint(X9)
| X3 != X9 )
| ! [X10] :
( ~ rline(X10)
| X4 != X10 )
| ! [X11] :
( ~ rline(X11)
| X5 != X11 )
| ~ ron(X0,X4)
| ~ ron(X0,X5)
| ~ ron(X1,X4)
| ~ ron(X2,X5)
| X0 = X1
| X0 = X2
| ron(X3,X4)
| ron(X3,X5)
| X4 = X5 ),
inference(flattening,[],[f563]) ).
fof(f563,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ( vangle(X1,X0,X2) = vplus(vangle(X1,X0,X3),vangle(X3,X0,X2))
| ~ rS(X1,X3,X5)
| ~ rS(X2,X3,X4) )
& ( ( rS(X1,X3,X5)
& rS(X2,X3,X4) )
| vangle(X1,X0,X2) != vplus(vangle(X1,X0,X3),vangle(X3,X0,X2)) ) )
| ! [X6] :
( ~ rpoint(X6)
| X0 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X1 != X7 )
| ! [X8] :
( ~ rpoint(X8)
| X2 != X8 )
| ! [X9] :
( ~ rpoint(X9)
| X3 != X9 )
| ! [X10] :
( ~ rline(X10)
| X4 != X10 )
| ! [X11] :
( ~ rline(X11)
| X5 != X11 )
| ~ ron(X0,X4)
| ~ ron(X0,X5)
| ~ ron(X1,X4)
| ~ ron(X2,X5)
| X0 = X1
| X0 = X2
| ron(X3,X4)
| ron(X3,X5)
| X4 = X5 ),
inference(nnf_transformation,[],[f394]) ).
fof(f394,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( vangle(X1,X0,X2) = vplus(vangle(X1,X0,X3),vangle(X3,X0,X2))
<=> ( rS(X1,X3,X5)
& rS(X2,X3,X4) ) )
| ! [X6] :
( ~ rpoint(X6)
| X0 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X1 != X7 )
| ! [X8] :
( ~ rpoint(X8)
| X2 != X8 )
| ! [X9] :
( ~ rpoint(X9)
| X3 != X9 )
| ! [X10] :
( ~ rline(X10)
| X4 != X10 )
| ! [X11] :
( ~ rline(X11)
| X5 != X11 )
| ~ ron(X0,X4)
| ~ ron(X0,X5)
| ~ ron(X1,X4)
| ~ ron(X2,X5)
| X0 = X1
| X0 = X2
| ron(X3,X4)
| ron(X3,X5)
| X4 = X5 ),
inference(flattening,[],[f393]) ).
fof(f393,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( vangle(X1,X0,X2) = vplus(vangle(X1,X0,X3),vangle(X3,X0,X2))
<=> ( rS(X1,X3,X5)
& rS(X2,X3,X4) ) )
| ! [X6] :
( ~ rpoint(X6)
| X0 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X1 != X7 )
| ! [X8] :
( ~ rpoint(X8)
| X2 != X8 )
| ! [X9] :
( ~ rpoint(X9)
| X3 != X9 )
| ! [X10] :
( ~ rline(X10)
| X4 != X10 )
| ! [X11] :
( ~ rline(X11)
| X5 != X11 )
| ~ ron(X0,X4)
| ~ ron(X0,X5)
| ~ ron(X1,X4)
| ~ ron(X2,X5)
| X0 = X1
| X0 = X2
| ron(X3,X4)
| ron(X3,X5)
| X4 = X5 ),
inference(ennf_transformation,[],[f205]) ).
fof(f205,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ? [X6] :
( rpoint(X6)
& X0 = X6 )
& ? [X7] :
( rpoint(X7)
& X1 = X7 )
& ? [X8] :
( rpoint(X8)
& X2 = X8 )
& ? [X9] :
( rpoint(X9)
& X3 = X9 )
& ? [X10] :
( rline(X10)
& X4 = X10 )
& ? [X11] :
( rline(X11)
& X5 = X11 )
& ron(X0,X4)
& ron(X0,X5)
& ron(X1,X4)
& ron(X2,X5)
& X0 != X1
& X0 != X2
& ~ ron(X3,X4)
& ~ ron(X3,X5)
& X4 != X5 )
=> ( vangle(X1,X0,X2) = vplus(vangle(X1,X0,X3),vangle(X3,X0,X2))
<=> ( rS(X1,X3,X5)
& rS(X2,X3,X4) ) ) ),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
! [X59,X60,X61,X62,X63,X64] :
( ( ? [X70] :
( rpoint(X70)
& X59 = X70 )
& ? [X69] :
( rpoint(X69)
& X60 = X69 )
& ? [X68] :
( rpoint(X68)
& X61 = X68 )
& ? [X67] :
( rpoint(X67)
& X62 = X67 )
& ? [X66] :
( rline(X66)
& X63 = X66 )
& ? [X65] :
( rline(X65)
& X64 = X65 )
& ron(X59,X63)
& ron(X59,X64)
& ron(X60,X63)
& ron(X61,X64)
& X59 != X60
& X59 != X61
& ~ ron(X62,X63)
& ~ ron(X62,X64)
& X63 != X64 )
=> ( vangle(X60,X59,X61) = vplus(vangle(X60,X59,X62),vangle(X62,X59,X61))
<=> ( rS(X60,X62,X64)
& rS(X61,X62,X63) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(190), 0), imp(cond(axiom(190), 0)))') ).
fof(f7556,plain,
spl57_301,
inference(avatar_split_clause,[],[f1439,f7554]) ).
fof(f7554,plain,
( spl57_301
<=> ! [X10,X9,X11,X6,X8,X7] :
( vangle(X9,X10,X11) = vangle(X6,X7,X8)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| vf(X9,X10) != vf(X6,X7)
| vf(X9,X11) != vf(X6,X8)
| vangle(X7,X6,X8) != vangle(X10,X9,X11)
| ron(X11,sK48(X9,X10,X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_301])]) ).
fof(f1439,plain,
! [X10,X11,X8,X6,X9,X7] :
( vangle(X9,X10,X11) = vangle(X6,X7,X8)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| vf(X9,X10) != vf(X6,X7)
| vf(X9,X11) != vf(X6,X8)
| vangle(X7,X6,X8) != vangle(X10,X9,X11)
| ron(X11,sK48(X9,X10,X11)) ),
inference(equality_resolution,[],[f1438]) ).
fof(f1438,plain,
! [X10,X11,X8,X6,X9,X7,X5] :
( vangle(X6,X7,X8) = vangle(X9,X10,X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| X5 != X11
| vf(X9,X10) != vf(X6,X7)
| vf(X6,X8) != vf(X9,X5)
| vangle(X7,X6,X8) != vangle(X10,X9,X5)
| ron(X5,sK48(X9,X10,X5)) ),
inference(equality_resolution,[],[f1437]) ).
fof(f1437,plain,
! [X10,X11,X8,X6,X9,X7,X4,X5] :
( vangle(X6,X7,X8) = vangle(X9,X4,X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X6,X7) != vf(X9,X4)
| vf(X6,X8) != vf(X9,X5)
| vangle(X7,X6,X8) != vangle(X4,X9,X5)
| ron(X5,sK48(X9,X4,X5)) ),
inference(equality_resolution,[],[f1436]) ).
fof(f1436,plain,
! [X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( vangle(X3,X4,X5) = vangle(X6,X7,X8)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X3,X4) != vf(X6,X7)
| vf(X3,X5) != vf(X6,X8)
| vangle(X4,X3,X5) != vangle(X7,X6,X8)
| ron(X5,sK48(X3,X4,X5)) ),
inference(equality_resolution,[],[f1435]) ).
fof(f1435,plain,
! [X2,X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( vangle(X3,X4,X5) = vangle(X6,X7,X2)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X2 != X8
| X6 = X7
| X2 = X6
| X2 = X7
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X3,X4) != vf(X6,X7)
| vf(X3,X5) != vf(X6,X2)
| vangle(X4,X3,X5) != vangle(X7,X6,X2)
| ron(X5,sK48(X3,X4,X5)) ),
inference(equality_resolution,[],[f1434]) ).
fof(f1434,plain,
! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X4,X5] :
( vangle(X3,X4,X5) = vangle(X6,X1,X2)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X1 != X7
| ~ rpoint(X8)
| X2 != X8
| X1 = X6
| X2 = X6
| X1 = X2
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X3,X4) != vf(X6,X1)
| vf(X3,X5) != vf(X6,X2)
| vangle(X4,X3,X5) != vangle(X1,X6,X2)
| ron(X5,sK48(X3,X4,X5)) ),
inference(equality_resolution,[],[f822]) ).
fof(f822,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( vangle(X0,X1,X2) = vangle(X3,X4,X5)
| ~ rpoint(X6)
| X0 != X6
| ~ rpoint(X7)
| X1 != X7
| ~ rpoint(X8)
| X2 != X8
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X0,X1) != vf(X3,X4)
| vf(X0,X2) != vf(X3,X5)
| vangle(X1,X0,X2) != vangle(X4,X3,X5)
| ron(X5,sK48(X3,X4,X5)) ),
inference(cnf_transformation,[],[f583]) ).
fof(f583,plain,
! [X0,X1,X2,X3,X4,X5] :
( vangle(X0,X1,X2) = vangle(X3,X4,X5)
| ! [X6] :
( ~ rpoint(X6)
| X0 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X1 != X7 )
| ! [X8] :
( ~ rpoint(X8)
| X2 != X8 )
| X0 = X1
| X0 = X2
| X1 = X2
| ! [X9] :
( ~ rpoint(X9)
| X3 != X9 )
| ! [X10] :
( ~ rpoint(X10)
| X4 != X10 )
| ! [X11] :
( ~ rpoint(X11)
| X5 != X11 )
| vf(X0,X1) != vf(X3,X4)
| vf(X0,X2) != vf(X3,X5)
| vangle(X1,X0,X2) != vangle(X4,X3,X5)
| ( rline(sK48(X3,X4,X5))
& ron(X3,sK48(X3,X4,X5))
& ron(X4,sK48(X3,X4,X5))
& ron(X5,sK48(X3,X4,X5)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK48])],[f426,f582]) ).
fof(f582,plain,
! [X3,X4,X5] :
( ? [X12] :
( rline(X12)
& ron(X3,X12)
& ron(X4,X12)
& ron(X5,X12) )
=> ( rline(sK48(X3,X4,X5))
& ron(X3,sK48(X3,X4,X5))
& ron(X4,sK48(X3,X4,X5))
& ron(X5,sK48(X3,X4,X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f426,plain,
! [X0,X1,X2,X3,X4,X5] :
( vangle(X0,X1,X2) = vangle(X3,X4,X5)
| ! [X6] :
( ~ rpoint(X6)
| X0 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X1 != X7 )
| ! [X8] :
( ~ rpoint(X8)
| X2 != X8 )
| X0 = X1
| X0 = X2
| X1 = X2
| ! [X9] :
( ~ rpoint(X9)
| X3 != X9 )
| ! [X10] :
( ~ rpoint(X10)
| X4 != X10 )
| ! [X11] :
( ~ rpoint(X11)
| X5 != X11 )
| vf(X0,X1) != vf(X3,X4)
| vf(X0,X2) != vf(X3,X5)
| vangle(X1,X0,X2) != vangle(X4,X3,X5)
| ? [X12] :
( rline(X12)
& ron(X3,X12)
& ron(X4,X12)
& ron(X5,X12) ) ),
inference(flattening,[],[f425]) ).
fof(f425,plain,
! [X0,X1,X2,X3,X4,X5] :
( vangle(X0,X1,X2) = vangle(X3,X4,X5)
| ! [X6] :
( ~ rpoint(X6)
| X0 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X1 != X7 )
| ! [X8] :
( ~ rpoint(X8)
| X2 != X8 )
| X0 = X1
| X0 = X2
| X1 = X2
| ! [X9] :
( ~ rpoint(X9)
| X3 != X9 )
| ! [X10] :
( ~ rpoint(X10)
| X4 != X10 )
| ! [X11] :
( ~ rpoint(X11)
| X5 != X11 )
| vf(X0,X1) != vf(X3,X4)
| vf(X0,X2) != vf(X3,X5)
| vangle(X1,X0,X2) != vangle(X4,X3,X5)
| ? [X12] :
( rline(X12)
& ron(X3,X12)
& ron(X4,X12)
& ron(X5,X12) ) ),
inference(ennf_transformation,[],[f222]) ).
fof(f222,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ? [X6] :
( rpoint(X6)
& X0 = X6 )
& ? [X7] :
( rpoint(X7)
& X1 = X7 )
& ? [X8] :
( rpoint(X8)
& X2 = X8 )
& X0 != X1
& X0 != X2
& X1 != X2
& ? [X9] :
( rpoint(X9)
& X3 = X9 )
& ? [X10] :
( rpoint(X10)
& X4 = X10 )
& ? [X11] :
( rpoint(X11)
& X5 = X11 )
& vf(X0,X1) = vf(X3,X4)
& vf(X0,X2) = vf(X3,X5)
& vangle(X1,X0,X2) = vangle(X4,X3,X5)
& ~ ? [X12] :
( rline(X12)
& ron(X3,X12)
& ron(X4,X12)
& ron(X5,X12) ) )
=> vangle(X0,X1,X2) = vangle(X3,X4,X5) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X25,X26,X27,X28,X29,X30] :
( ( ? [X37] :
( rpoint(X37)
& X25 = X37 )
& ? [X36] :
( rpoint(X36)
& X26 = X36 )
& ? [X35] :
( rpoint(X35)
& X27 = X35 )
& X25 != X26
& X25 != X27
& X26 != X27
& ? [X34] :
( rpoint(X34)
& X28 = X34 )
& ? [X33] :
( rpoint(X33)
& X29 = X33 )
& ? [X32] :
( rpoint(X32)
& X30 = X32 )
& vf(X25,X26) = vf(X28,X29)
& vf(X25,X27) = vf(X28,X30)
& vangle(X26,X25,X27) = vangle(X29,X28,X30)
& ~ ? [X31] :
( rline(X31)
& ron(X28,X31)
& ron(X29,X31)
& ron(X30,X31) ) )
=> vangle(X25,X26,X27) = vangle(X28,X29,X30) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(264), 0), 1)') ).
fof(f7552,plain,
spl57_300,
inference(avatar_split_clause,[],[f1433,f7550]) ).
fof(f7550,plain,
( spl57_300
<=> ! [X10,X9,X11,X6,X8,X7] :
( vangle(X9,X10,X11) = vangle(X6,X7,X8)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| vf(X9,X10) != vf(X6,X7)
| vf(X9,X11) != vf(X6,X8)
| vangle(X7,X6,X8) != vangle(X10,X9,X11)
| ron(X10,sK48(X9,X10,X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_300])]) ).
fof(f1433,plain,
! [X10,X11,X8,X6,X9,X7] :
( vangle(X9,X10,X11) = vangle(X6,X7,X8)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| vf(X9,X10) != vf(X6,X7)
| vf(X9,X11) != vf(X6,X8)
| vangle(X7,X6,X8) != vangle(X10,X9,X11)
| ron(X10,sK48(X9,X10,X11)) ),
inference(equality_resolution,[],[f1432]) ).
fof(f1432,plain,
! [X10,X11,X8,X6,X9,X7,X5] :
( vangle(X6,X7,X8) = vangle(X9,X10,X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| X5 != X11
| vf(X9,X10) != vf(X6,X7)
| vf(X6,X8) != vf(X9,X5)
| vangle(X7,X6,X8) != vangle(X10,X9,X5)
| ron(X10,sK48(X9,X10,X5)) ),
inference(equality_resolution,[],[f1431]) ).
fof(f1431,plain,
! [X10,X11,X8,X6,X9,X7,X4,X5] :
( vangle(X6,X7,X8) = vangle(X9,X4,X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X6,X7) != vf(X9,X4)
| vf(X6,X8) != vf(X9,X5)
| vangle(X7,X6,X8) != vangle(X4,X9,X5)
| ron(X4,sK48(X9,X4,X5)) ),
inference(equality_resolution,[],[f1430]) ).
fof(f1430,plain,
! [X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( vangle(X3,X4,X5) = vangle(X6,X7,X8)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X3,X4) != vf(X6,X7)
| vf(X3,X5) != vf(X6,X8)
| vangle(X4,X3,X5) != vangle(X7,X6,X8)
| ron(X4,sK48(X3,X4,X5)) ),
inference(equality_resolution,[],[f1429]) ).
fof(f1429,plain,
! [X2,X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( vangle(X3,X4,X5) = vangle(X6,X7,X2)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X2 != X8
| X6 = X7
| X2 = X6
| X2 = X7
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X3,X4) != vf(X6,X7)
| vf(X3,X5) != vf(X6,X2)
| vangle(X4,X3,X5) != vangle(X7,X6,X2)
| ron(X4,sK48(X3,X4,X5)) ),
inference(equality_resolution,[],[f1428]) ).
fof(f1428,plain,
! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X4,X5] :
( vangle(X3,X4,X5) = vangle(X6,X1,X2)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X1 != X7
| ~ rpoint(X8)
| X2 != X8
| X1 = X6
| X2 = X6
| X1 = X2
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X3,X4) != vf(X6,X1)
| vf(X3,X5) != vf(X6,X2)
| vangle(X4,X3,X5) != vangle(X1,X6,X2)
| ron(X4,sK48(X3,X4,X5)) ),
inference(equality_resolution,[],[f823]) ).
fof(f823,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( vangle(X0,X1,X2) = vangle(X3,X4,X5)
| ~ rpoint(X6)
| X0 != X6
| ~ rpoint(X7)
| X1 != X7
| ~ rpoint(X8)
| X2 != X8
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X0,X1) != vf(X3,X4)
| vf(X0,X2) != vf(X3,X5)
| vangle(X1,X0,X2) != vangle(X4,X3,X5)
| ron(X4,sK48(X3,X4,X5)) ),
inference(cnf_transformation,[],[f583]) ).
fof(f7548,plain,
spl57_299,
inference(avatar_split_clause,[],[f1427,f7546]) ).
fof(f7546,plain,
( spl57_299
<=> ! [X10,X9,X11,X6,X8,X7] :
( vangle(X9,X10,X11) = vangle(X6,X7,X8)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| vf(X9,X10) != vf(X6,X7)
| vf(X9,X11) != vf(X6,X8)
| vangle(X7,X6,X8) != vangle(X10,X9,X11)
| ron(X9,sK48(X9,X10,X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_299])]) ).
fof(f1427,plain,
! [X10,X11,X8,X6,X9,X7] :
( vangle(X9,X10,X11) = vangle(X6,X7,X8)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| vf(X9,X10) != vf(X6,X7)
| vf(X9,X11) != vf(X6,X8)
| vangle(X7,X6,X8) != vangle(X10,X9,X11)
| ron(X9,sK48(X9,X10,X11)) ),
inference(equality_resolution,[],[f1426]) ).
fof(f1426,plain,
! [X10,X11,X8,X6,X9,X7,X5] :
( vangle(X6,X7,X8) = vangle(X9,X10,X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| X5 != X11
| vf(X9,X10) != vf(X6,X7)
| vf(X6,X8) != vf(X9,X5)
| vangle(X7,X6,X8) != vangle(X10,X9,X5)
| ron(X9,sK48(X9,X10,X5)) ),
inference(equality_resolution,[],[f1425]) ).
fof(f1425,plain,
! [X10,X11,X8,X6,X9,X7,X4,X5] :
( vangle(X6,X7,X8) = vangle(X9,X4,X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X6,X7) != vf(X9,X4)
| vf(X6,X8) != vf(X9,X5)
| vangle(X7,X6,X8) != vangle(X4,X9,X5)
| ron(X9,sK48(X9,X4,X5)) ),
inference(equality_resolution,[],[f1424]) ).
fof(f1424,plain,
! [X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( vangle(X3,X4,X5) = vangle(X6,X7,X8)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X3,X4) != vf(X6,X7)
| vf(X3,X5) != vf(X6,X8)
| vangle(X4,X3,X5) != vangle(X7,X6,X8)
| ron(X3,sK48(X3,X4,X5)) ),
inference(equality_resolution,[],[f1423]) ).
fof(f1423,plain,
! [X2,X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( vangle(X3,X4,X5) = vangle(X6,X7,X2)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X2 != X8
| X6 = X7
| X2 = X6
| X2 = X7
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X3,X4) != vf(X6,X7)
| vf(X3,X5) != vf(X6,X2)
| vangle(X4,X3,X5) != vangle(X7,X6,X2)
| ron(X3,sK48(X3,X4,X5)) ),
inference(equality_resolution,[],[f1422]) ).
fof(f1422,plain,
! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X4,X5] :
( vangle(X3,X4,X5) = vangle(X6,X1,X2)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X1 != X7
| ~ rpoint(X8)
| X2 != X8
| X1 = X6
| X2 = X6
| X1 = X2
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X3,X4) != vf(X6,X1)
| vf(X3,X5) != vf(X6,X2)
| vangle(X4,X3,X5) != vangle(X1,X6,X2)
| ron(X3,sK48(X3,X4,X5)) ),
inference(equality_resolution,[],[f824]) ).
fof(f824,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( vangle(X0,X1,X2) = vangle(X3,X4,X5)
| ~ rpoint(X6)
| X0 != X6
| ~ rpoint(X7)
| X1 != X7
| ~ rpoint(X8)
| X2 != X8
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X0,X1) != vf(X3,X4)
| vf(X0,X2) != vf(X3,X5)
| vangle(X1,X0,X2) != vangle(X4,X3,X5)
| ron(X3,sK48(X3,X4,X5)) ),
inference(cnf_transformation,[],[f583]) ).
fof(f7544,plain,
spl57_298,
inference(avatar_split_clause,[],[f1415,f7542]) ).
fof(f7542,plain,
( spl57_298
<=> ! [X10,X11,X9,X7,X6,X8] :
( vangle(X9,X11,X10) = vangle(X6,X8,X7)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| vf(X9,X10) != vf(X6,X7)
| vf(X9,X11) != vf(X6,X8)
| vangle(X7,X6,X8) != vangle(X10,X9,X11)
| ron(X11,sK47(X9,X10,X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_298])]) ).
fof(f1415,plain,
! [X10,X11,X8,X6,X9,X7] :
( vangle(X9,X11,X10) = vangle(X6,X8,X7)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| vf(X9,X10) != vf(X6,X7)
| vf(X9,X11) != vf(X6,X8)
| vangle(X7,X6,X8) != vangle(X10,X9,X11)
| ron(X11,sK47(X9,X10,X11)) ),
inference(equality_resolution,[],[f1414]) ).
fof(f1414,plain,
! [X10,X11,X8,X6,X9,X7,X5] :
( vangle(X6,X8,X7) = vangle(X9,X5,X10)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| X5 != X11
| vf(X9,X10) != vf(X6,X7)
| vf(X6,X8) != vf(X9,X5)
| vangle(X7,X6,X8) != vangle(X10,X9,X5)
| ron(X5,sK47(X9,X10,X5)) ),
inference(equality_resolution,[],[f1413]) ).
fof(f1413,plain,
! [X10,X11,X8,X6,X9,X7,X4,X5] :
( vangle(X6,X8,X7) = vangle(X9,X5,X4)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X6,X7) != vf(X9,X4)
| vf(X6,X8) != vf(X9,X5)
| vangle(X7,X6,X8) != vangle(X4,X9,X5)
| ron(X5,sK47(X9,X4,X5)) ),
inference(equality_resolution,[],[f1412]) ).
fof(f1412,plain,
! [X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( vangle(X3,X5,X4) = vangle(X6,X8,X7)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X3,X4) != vf(X6,X7)
| vf(X3,X5) != vf(X6,X8)
| vangle(X4,X3,X5) != vangle(X7,X6,X8)
| ron(X5,sK47(X3,X4,X5)) ),
inference(equality_resolution,[],[f1411]) ).
fof(f1411,plain,
! [X2,X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( vangle(X3,X5,X4) = vangle(X6,X2,X7)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X2 != X8
| X6 = X7
| X2 = X6
| X2 = X7
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X3,X4) != vf(X6,X7)
| vf(X3,X5) != vf(X6,X2)
| vangle(X4,X3,X5) != vangle(X7,X6,X2)
| ron(X5,sK47(X3,X4,X5)) ),
inference(equality_resolution,[],[f1410]) ).
fof(f1410,plain,
! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X4,X5] :
( vangle(X3,X5,X4) = vangle(X6,X2,X1)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X1 != X7
| ~ rpoint(X8)
| X2 != X8
| X1 = X6
| X2 = X6
| X1 = X2
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X3,X4) != vf(X6,X1)
| vf(X3,X5) != vf(X6,X2)
| vangle(X4,X3,X5) != vangle(X1,X6,X2)
| ron(X5,sK47(X3,X4,X5)) ),
inference(equality_resolution,[],[f818]) ).
fof(f818,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( vangle(X0,X2,X1) = vangle(X3,X5,X4)
| ~ rpoint(X6)
| X0 != X6
| ~ rpoint(X7)
| X1 != X7
| ~ rpoint(X8)
| X2 != X8
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X0,X1) != vf(X3,X4)
| vf(X0,X2) != vf(X3,X5)
| vangle(X1,X0,X2) != vangle(X4,X3,X5)
| ron(X5,sK47(X3,X4,X5)) ),
inference(cnf_transformation,[],[f581]) ).
fof(f581,plain,
! [X0,X1,X2,X3,X4,X5] :
( vangle(X0,X2,X1) = vangle(X3,X5,X4)
| ! [X6] :
( ~ rpoint(X6)
| X0 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X1 != X7 )
| ! [X8] :
( ~ rpoint(X8)
| X2 != X8 )
| X0 = X1
| X0 = X2
| X1 = X2
| ! [X9] :
( ~ rpoint(X9)
| X3 != X9 )
| ! [X10] :
( ~ rpoint(X10)
| X4 != X10 )
| ! [X11] :
( ~ rpoint(X11)
| X5 != X11 )
| vf(X0,X1) != vf(X3,X4)
| vf(X0,X2) != vf(X3,X5)
| vangle(X1,X0,X2) != vangle(X4,X3,X5)
| ( rline(sK47(X3,X4,X5))
& ron(X3,sK47(X3,X4,X5))
& ron(X4,sK47(X3,X4,X5))
& ron(X5,sK47(X3,X4,X5)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK47])],[f424,f580]) ).
fof(f580,plain,
! [X3,X4,X5] :
( ? [X12] :
( rline(X12)
& ron(X3,X12)
& ron(X4,X12)
& ron(X5,X12) )
=> ( rline(sK47(X3,X4,X5))
& ron(X3,sK47(X3,X4,X5))
& ron(X4,sK47(X3,X4,X5))
& ron(X5,sK47(X3,X4,X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f424,plain,
! [X0,X1,X2,X3,X4,X5] :
( vangle(X0,X2,X1) = vangle(X3,X5,X4)
| ! [X6] :
( ~ rpoint(X6)
| X0 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X1 != X7 )
| ! [X8] :
( ~ rpoint(X8)
| X2 != X8 )
| X0 = X1
| X0 = X2
| X1 = X2
| ! [X9] :
( ~ rpoint(X9)
| X3 != X9 )
| ! [X10] :
( ~ rpoint(X10)
| X4 != X10 )
| ! [X11] :
( ~ rpoint(X11)
| X5 != X11 )
| vf(X0,X1) != vf(X3,X4)
| vf(X0,X2) != vf(X3,X5)
| vangle(X1,X0,X2) != vangle(X4,X3,X5)
| ? [X12] :
( rline(X12)
& ron(X3,X12)
& ron(X4,X12)
& ron(X5,X12) ) ),
inference(flattening,[],[f423]) ).
fof(f423,plain,
! [X0,X1,X2,X3,X4,X5] :
( vangle(X0,X2,X1) = vangle(X3,X5,X4)
| ! [X6] :
( ~ rpoint(X6)
| X0 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X1 != X7 )
| ! [X8] :
( ~ rpoint(X8)
| X2 != X8 )
| X0 = X1
| X0 = X2
| X1 = X2
| ! [X9] :
( ~ rpoint(X9)
| X3 != X9 )
| ! [X10] :
( ~ rpoint(X10)
| X4 != X10 )
| ! [X11] :
( ~ rpoint(X11)
| X5 != X11 )
| vf(X0,X1) != vf(X3,X4)
| vf(X0,X2) != vf(X3,X5)
| vangle(X1,X0,X2) != vangle(X4,X3,X5)
| ? [X12] :
( rline(X12)
& ron(X3,X12)
& ron(X4,X12)
& ron(X5,X12) ) ),
inference(ennf_transformation,[],[f221]) ).
fof(f221,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ? [X6] :
( rpoint(X6)
& X0 = X6 )
& ? [X7] :
( rpoint(X7)
& X1 = X7 )
& ? [X8] :
( rpoint(X8)
& X2 = X8 )
& X0 != X1
& X0 != X2
& X1 != X2
& ? [X9] :
( rpoint(X9)
& X3 = X9 )
& ? [X10] :
( rpoint(X10)
& X4 = X10 )
& ? [X11] :
( rpoint(X11)
& X5 = X11 )
& vf(X0,X1) = vf(X3,X4)
& vf(X0,X2) = vf(X3,X5)
& vangle(X1,X0,X2) = vangle(X4,X3,X5)
& ~ ? [X12] :
( rline(X12)
& ron(X3,X12)
& ron(X4,X12)
& ron(X5,X12) ) )
=> vangle(X0,X2,X1) = vangle(X3,X5,X4) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X25,X26,X27,X28,X29,X30] :
( ( ? [X37] :
( rpoint(X37)
& X25 = X37 )
& ? [X36] :
( rpoint(X36)
& X26 = X36 )
& ? [X35] :
( rpoint(X35)
& X27 = X35 )
& X25 != X26
& X25 != X27
& X26 != X27
& ? [X34] :
( rpoint(X34)
& X28 = X34 )
& ? [X33] :
( rpoint(X33)
& X29 = X33 )
& ? [X32] :
( rpoint(X32)
& X30 = X32 )
& vf(X25,X26) = vf(X28,X29)
& vf(X25,X27) = vf(X28,X30)
& vangle(X26,X25,X27) = vangle(X29,X28,X30)
& ~ ? [X31] :
( rline(X31)
& ron(X28,X31)
& ron(X29,X31)
& ron(X30,X31) ) )
=> vangle(X25,X27,X26) = vangle(X28,X30,X29) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(264), 0), 0)') ).
fof(f7540,plain,
( spl57_296
| ~ spl57_297
| ~ spl57_69
| ~ spl57_287 ),
inference(avatar_split_clause,[],[f7450,f7368,f1956,f7537,f7533]) ).
fof(f7533,plain,
( spl57_296
<=> sP0(sK5,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_296])]) ).
fof(f7537,plain,
( spl57_297
<=> rcircle(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_297])]) ).
fof(f1956,plain,
( spl57_69
<=> ! [X2,X3] :
( sP0(X2,X3)
| ~ rcircle(X2)
| ~ rcircle(X3)
| ~ rintersect(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_69])]) ).
fof(f7368,plain,
( spl57_287
<=> rintersect(sK5,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_287])]) ).
fof(f7450,plain,
( ~ rcircle(sK5)
| sP0(sK5,sK5)
| ~ spl57_69
| ~ spl57_287 ),
inference(duplicate_literal_removal,[],[f7434]) ).
fof(f7434,plain,
( ~ rcircle(sK5)
| ~ rcircle(sK5)
| sP0(sK5,sK5)
| ~ spl57_69
| ~ spl57_287 ),
inference(resolution,[],[f7370,f1957]) ).
fof(f1957,plain,
( ! [X2,X3] :
( ~ rintersect(X2,X3)
| ~ rcircle(X2)
| ~ rcircle(X3)
| sP0(X2,X3) )
| ~ spl57_69 ),
inference(avatar_component_clause,[],[f1956]) ).
fof(f7370,plain,
( rintersect(sK5,sK5)
| ~ spl57_287 ),
inference(avatar_component_clause,[],[f7368]) ).
fof(f7531,plain,
spl57_295,
inference(avatar_split_clause,[],[f1409,f7529]) ).
fof(f7529,plain,
( spl57_295
<=> ! [X10,X11,X9,X7,X6,X8] :
( vangle(X9,X11,X10) = vangle(X6,X8,X7)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| vf(X9,X10) != vf(X6,X7)
| vf(X9,X11) != vf(X6,X8)
| vangle(X7,X6,X8) != vangle(X10,X9,X11)
| ron(X10,sK47(X9,X10,X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_295])]) ).
fof(f1409,plain,
! [X10,X11,X8,X6,X9,X7] :
( vangle(X9,X11,X10) = vangle(X6,X8,X7)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| vf(X9,X10) != vf(X6,X7)
| vf(X9,X11) != vf(X6,X8)
| vangle(X7,X6,X8) != vangle(X10,X9,X11)
| ron(X10,sK47(X9,X10,X11)) ),
inference(equality_resolution,[],[f1408]) ).
fof(f1408,plain,
! [X10,X11,X8,X6,X9,X7,X5] :
( vangle(X6,X8,X7) = vangle(X9,X5,X10)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| X5 != X11
| vf(X9,X10) != vf(X6,X7)
| vf(X6,X8) != vf(X9,X5)
| vangle(X7,X6,X8) != vangle(X10,X9,X5)
| ron(X10,sK47(X9,X10,X5)) ),
inference(equality_resolution,[],[f1407]) ).
fof(f1407,plain,
! [X10,X11,X8,X6,X9,X7,X4,X5] :
( vangle(X6,X8,X7) = vangle(X9,X5,X4)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X6,X7) != vf(X9,X4)
| vf(X6,X8) != vf(X9,X5)
| vangle(X7,X6,X8) != vangle(X4,X9,X5)
| ron(X4,sK47(X9,X4,X5)) ),
inference(equality_resolution,[],[f1406]) ).
fof(f1406,plain,
! [X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( vangle(X3,X5,X4) = vangle(X6,X8,X7)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X3,X4) != vf(X6,X7)
| vf(X3,X5) != vf(X6,X8)
| vangle(X4,X3,X5) != vangle(X7,X6,X8)
| ron(X4,sK47(X3,X4,X5)) ),
inference(equality_resolution,[],[f1405]) ).
fof(f1405,plain,
! [X2,X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( vangle(X3,X5,X4) = vangle(X6,X2,X7)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X2 != X8
| X6 = X7
| X2 = X6
| X2 = X7
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X3,X4) != vf(X6,X7)
| vf(X3,X5) != vf(X6,X2)
| vangle(X4,X3,X5) != vangle(X7,X6,X2)
| ron(X4,sK47(X3,X4,X5)) ),
inference(equality_resolution,[],[f1404]) ).
fof(f1404,plain,
! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X4,X5] :
( vangle(X3,X5,X4) = vangle(X6,X2,X1)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X1 != X7
| ~ rpoint(X8)
| X2 != X8
| X1 = X6
| X2 = X6
| X1 = X2
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X3,X4) != vf(X6,X1)
| vf(X3,X5) != vf(X6,X2)
| vangle(X4,X3,X5) != vangle(X1,X6,X2)
| ron(X4,sK47(X3,X4,X5)) ),
inference(equality_resolution,[],[f819]) ).
fof(f819,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( vangle(X0,X2,X1) = vangle(X3,X5,X4)
| ~ rpoint(X6)
| X0 != X6
| ~ rpoint(X7)
| X1 != X7
| ~ rpoint(X8)
| X2 != X8
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X0,X1) != vf(X3,X4)
| vf(X0,X2) != vf(X3,X5)
| vangle(X1,X0,X2) != vangle(X4,X3,X5)
| ron(X4,sK47(X3,X4,X5)) ),
inference(cnf_transformation,[],[f581]) ).
fof(f7527,plain,
spl57_294,
inference(avatar_split_clause,[],[f1403,f7525]) ).
fof(f7525,plain,
( spl57_294
<=> ! [X10,X11,X9,X7,X6,X8] :
( vangle(X9,X11,X10) = vangle(X6,X8,X7)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| vf(X9,X10) != vf(X6,X7)
| vf(X9,X11) != vf(X6,X8)
| vangle(X7,X6,X8) != vangle(X10,X9,X11)
| ron(X9,sK47(X9,X10,X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_294])]) ).
fof(f1403,plain,
! [X10,X11,X8,X6,X9,X7] :
( vangle(X9,X11,X10) = vangle(X6,X8,X7)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| vf(X9,X10) != vf(X6,X7)
| vf(X9,X11) != vf(X6,X8)
| vangle(X7,X6,X8) != vangle(X10,X9,X11)
| ron(X9,sK47(X9,X10,X11)) ),
inference(equality_resolution,[],[f1402]) ).
fof(f1402,plain,
! [X10,X11,X8,X6,X9,X7,X5] :
( vangle(X6,X8,X7) = vangle(X9,X5,X10)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| X5 != X11
| vf(X9,X10) != vf(X6,X7)
| vf(X6,X8) != vf(X9,X5)
| vangle(X7,X6,X8) != vangle(X10,X9,X5)
| ron(X9,sK47(X9,X10,X5)) ),
inference(equality_resolution,[],[f1401]) ).
fof(f1401,plain,
! [X10,X11,X8,X6,X9,X7,X4,X5] :
( vangle(X6,X8,X7) = vangle(X9,X5,X4)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X6,X7) != vf(X9,X4)
| vf(X6,X8) != vf(X9,X5)
| vangle(X7,X6,X8) != vangle(X4,X9,X5)
| ron(X9,sK47(X9,X4,X5)) ),
inference(equality_resolution,[],[f1400]) ).
fof(f1400,plain,
! [X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( vangle(X3,X5,X4) = vangle(X6,X8,X7)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X3,X4) != vf(X6,X7)
| vf(X3,X5) != vf(X6,X8)
| vangle(X4,X3,X5) != vangle(X7,X6,X8)
| ron(X3,sK47(X3,X4,X5)) ),
inference(equality_resolution,[],[f1399]) ).
fof(f1399,plain,
! [X2,X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( vangle(X3,X5,X4) = vangle(X6,X2,X7)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X2 != X8
| X6 = X7
| X2 = X6
| X2 = X7
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X3,X4) != vf(X6,X7)
| vf(X3,X5) != vf(X6,X2)
| vangle(X4,X3,X5) != vangle(X7,X6,X2)
| ron(X3,sK47(X3,X4,X5)) ),
inference(equality_resolution,[],[f1398]) ).
fof(f1398,plain,
! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X4,X5] :
( vangle(X3,X5,X4) = vangle(X6,X2,X1)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X1 != X7
| ~ rpoint(X8)
| X2 != X8
| X1 = X6
| X2 = X6
| X1 = X2
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X3,X4) != vf(X6,X1)
| vf(X3,X5) != vf(X6,X2)
| vangle(X4,X3,X5) != vangle(X1,X6,X2)
| ron(X3,sK47(X3,X4,X5)) ),
inference(equality_resolution,[],[f820]) ).
fof(f820,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( vangle(X0,X2,X1) = vangle(X3,X5,X4)
| ~ rpoint(X6)
| X0 != X6
| ~ rpoint(X7)
| X1 != X7
| ~ rpoint(X8)
| X2 != X8
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X0,X1) != vf(X3,X4)
| vf(X0,X2) != vf(X3,X5)
| vangle(X1,X0,X2) != vangle(X4,X3,X5)
| ron(X3,sK47(X3,X4,X5)) ),
inference(cnf_transformation,[],[f581]) ).
fof(f7523,plain,
spl57_293,
inference(avatar_split_clause,[],[f871,f7521]) ).
fof(f7521,plain,
( spl57_293
<=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X15,X5,X12,X13] :
( vf(X11,X12) = vf(sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
| ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_293])]) ).
fof(f871,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X15,X5,X12,X13] :
( vf(X11,X12) = vf(sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
| ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16) ),
inference(cnf_transformation,[],[f603]) ).
fof(f7519,plain,
spl57_292,
inference(avatar_split_clause,[],[f870,f7517]) ).
fof(f7517,plain,
( spl57_292
<=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X15,X5,X12,X13] :
( vf(X12,X13) = vf(sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
| ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_292])]) ).
fof(f870,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X15,X5,X12,X13] :
( vf(X12,X13) = vf(sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
| ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16) ),
inference(cnf_transformation,[],[f603]) ).
fof(f7515,plain,
spl57_291,
inference(avatar_split_clause,[],[f869,f7513]) ).
fof(f7513,plain,
( spl57_291
<=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X15,X5,X12,X13] :
( vf(X11,X13) = vf(sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
| ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_291])]) ).
fof(f869,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X15,X5,X12,X13] :
( vf(X11,X13) = vf(sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
| ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16) ),
inference(cnf_transformation,[],[f603]) ).
fof(f7458,plain,
spl57_290,
inference(avatar_split_clause,[],[f1482,f7456]) ).
fof(f1482,plain,
! [X10,X11,X8,X9,X7,X12,X13] :
( vangle(X8,X7,X9) = vangle(X10,X7,X11)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rline(X12)
| ~ rline(X13)
| ~ ron(X7,X12)
| ~ ron(X8,X12)
| ~ ron(X10,X12)
| ~ ron(X9,X13)
| ~ ron(X11,X13)
| X7 = X8
| X7 = X9
| X7 = X10
| X7 = X11
| rR(X7,X8,X10)
| rR(X7,X9,X11) ),
inference(equality_resolution,[],[f1481]) ).
fof(f1481,plain,
! [X10,X11,X8,X6,X9,X7,X12,X13] :
( vangle(X8,X7,X9) = vangle(X10,X7,X11)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rline(X12)
| ~ rline(X13)
| X6 != X13
| ~ ron(X7,X12)
| ~ ron(X8,X12)
| ~ ron(X10,X12)
| ~ ron(X9,X6)
| ~ ron(X11,X6)
| X7 = X8
| X7 = X9
| X7 = X10
| X7 = X11
| rR(X7,X8,X10)
| rR(X7,X9,X11) ),
inference(equality_resolution,[],[f1480]) ).
fof(f1480,plain,
! [X10,X11,X8,X6,X9,X7,X5,X12,X13] :
( vangle(X8,X7,X9) = vangle(X10,X7,X11)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rline(X12)
| X5 != X12
| ~ rline(X13)
| X6 != X13
| ~ ron(X7,X5)
| ~ ron(X8,X5)
| ~ ron(X10,X5)
| ~ ron(X9,X6)
| ~ ron(X11,X6)
| X7 = X8
| X7 = X9
| X7 = X10
| X7 = X11
| rR(X7,X8,X10)
| rR(X7,X9,X11) ),
inference(equality_resolution,[],[f1479]) ).
fof(f1479,plain,
! [X10,X11,X8,X6,X9,X7,X4,X5,X12,X13] :
( vangle(X8,X7,X9) = vangle(X10,X7,X4)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| X4 != X11
| ~ rline(X12)
| X5 != X12
| ~ rline(X13)
| X6 != X13
| ~ ron(X7,X5)
| ~ ron(X8,X5)
| ~ ron(X10,X5)
| ~ ron(X9,X6)
| ~ ron(X4,X6)
| X7 = X8
| X7 = X9
| X7 = X10
| X4 = X7
| rR(X7,X8,X10)
| rR(X7,X9,X4) ),
inference(equality_resolution,[],[f1478]) ).
fof(f1478,plain,
! [X3,X10,X11,X8,X6,X9,X7,X4,X5,X12,X13] :
( vangle(X3,X7,X4) = vangle(X8,X7,X9)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| X3 != X10
| ~ rpoint(X11)
| X4 != X11
| ~ rline(X12)
| X5 != X12
| ~ rline(X13)
| X6 != X13
| ~ ron(X7,X5)
| ~ ron(X8,X5)
| ~ ron(X3,X5)
| ~ ron(X9,X6)
| ~ ron(X4,X6)
| X7 = X8
| X7 = X9
| X3 = X7
| X4 = X7
| rR(X7,X8,X3)
| rR(X7,X9,X4) ),
inference(equality_resolution,[],[f1477]) ).
fof(f1477,plain,
! [X2,X3,X10,X11,X8,X6,X9,X7,X4,X5,X12,X13] :
( vangle(X3,X7,X4) = vangle(X8,X7,X2)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X2 != X9
| ~ rpoint(X10)
| X3 != X10
| ~ rpoint(X11)
| X4 != X11
| ~ rline(X12)
| X5 != X12
| ~ rline(X13)
| X6 != X13
| ~ ron(X7,X5)
| ~ ron(X8,X5)
| ~ ron(X3,X5)
| ~ ron(X2,X6)
| ~ ron(X4,X6)
| X7 = X8
| X2 = X7
| X3 = X7
| X4 = X7
| rR(X7,X8,X3)
| rR(X7,X2,X4) ),
inference(equality_resolution,[],[f1476]) ).
fof(f1476,plain,
! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] :
( vangle(X1,X7,X2) = vangle(X3,X7,X4)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X1 != X8
| ~ rpoint(X9)
| X2 != X9
| ~ rpoint(X10)
| X3 != X10
| ~ rpoint(X11)
| X4 != X11
| ~ rline(X12)
| X5 != X12
| ~ rline(X13)
| X6 != X13
| ~ ron(X7,X5)
| ~ ron(X1,X5)
| ~ ron(X3,X5)
| ~ ron(X2,X6)
| ~ ron(X4,X6)
| X1 = X7
| X2 = X7
| X3 = X7
| X4 = X7
| rR(X7,X1,X3)
| rR(X7,X2,X4) ),
inference(equality_resolution,[],[f836]) ).
fof(f836,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] :
( vangle(X1,X0,X2) = vangle(X3,X0,X4)
| ~ rpoint(X7)
| X0 != X7
| ~ rpoint(X8)
| X1 != X8
| ~ rpoint(X9)
| X2 != X9
| ~ rpoint(X10)
| X3 != X10
| ~ rpoint(X11)
| X4 != X11
| ~ rline(X12)
| X5 != X12
| ~ rline(X13)
| X6 != X13
| ~ ron(X0,X5)
| ~ ron(X1,X5)
| ~ ron(X3,X5)
| ~ ron(X2,X6)
| ~ ron(X4,X6)
| X0 = X1
| X0 = X2
| X0 = X3
| X0 = X4
| rR(X0,X1,X3)
| rR(X0,X2,X4) ),
inference(cnf_transformation,[],[f436]) ).
fof(f436,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( vangle(X1,X0,X2) = vangle(X3,X0,X4)
| ! [X7] :
( ~ rpoint(X7)
| X0 != X7 )
| ! [X8] :
( ~ rpoint(X8)
| X1 != X8 )
| ! [X9] :
( ~ rpoint(X9)
| X2 != X9 )
| ! [X10] :
( ~ rpoint(X10)
| X3 != X10 )
| ! [X11] :
( ~ rpoint(X11)
| X4 != X11 )
| ! [X12] :
( ~ rline(X12)
| X5 != X12 )
| ! [X13] :
( ~ rline(X13)
| X6 != X13 )
| ~ ron(X0,X5)
| ~ ron(X1,X5)
| ~ ron(X3,X5)
| ~ ron(X2,X6)
| ~ ron(X4,X6)
| X0 = X1
| X0 = X2
| X0 = X3
| X0 = X4
| rR(X0,X1,X3)
| rR(X0,X2,X4) ),
inference(flattening,[],[f435]) ).
fof(f435,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( vangle(X1,X0,X2) = vangle(X3,X0,X4)
| ! [X7] :
( ~ rpoint(X7)
| X0 != X7 )
| ! [X8] :
( ~ rpoint(X8)
| X1 != X8 )
| ! [X9] :
( ~ rpoint(X9)
| X2 != X9 )
| ! [X10] :
( ~ rpoint(X10)
| X3 != X10 )
| ! [X11] :
( ~ rpoint(X11)
| X4 != X11 )
| ! [X12] :
( ~ rline(X12)
| X5 != X12 )
| ! [X13] :
( ~ rline(X13)
| X6 != X13 )
| ~ ron(X0,X5)
| ~ ron(X1,X5)
| ~ ron(X3,X5)
| ~ ron(X2,X6)
| ~ ron(X4,X6)
| X0 = X1
| X0 = X2
| X0 = X3
| X0 = X4
| rR(X0,X1,X3)
| rR(X0,X2,X4) ),
inference(ennf_transformation,[],[f227]) ).
fof(f227,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ? [X7] :
( rpoint(X7)
& X0 = X7 )
& ? [X8] :
( rpoint(X8)
& X1 = X8 )
& ? [X9] :
( rpoint(X9)
& X2 = X9 )
& ? [X10] :
( rpoint(X10)
& X3 = X10 )
& ? [X11] :
( rpoint(X11)
& X4 = X11 )
& ? [X12] :
( rline(X12)
& X5 = X12 )
& ? [X13] :
( rline(X13)
& X6 = X13 )
& ron(X0,X5)
& ron(X1,X5)
& ron(X3,X5)
& ron(X2,X6)
& ron(X4,X6)
& X0 != X1
& X0 != X2
& X0 != X3
& X0 != X4
& ~ rR(X0,X1,X3)
& ~ rR(X0,X2,X4) )
=> vangle(X1,X0,X2) = vangle(X3,X0,X4) ),
inference(rectify,[],[f54]) ).
fof(f54,axiom,
! [X259,X260,X261,X262,X263,X264,X265] :
( ( ? [X272] :
( rpoint(X272)
& X259 = X272 )
& ? [X271] :
( rpoint(X271)
& X260 = X271 )
& ? [X270] :
( rpoint(X270)
& X261 = X270 )
& ? [X269] :
( rpoint(X269)
& X262 = X269 )
& ? [X268] :
( rpoint(X268)
& X263 = X268 )
& ? [X267] :
( rline(X267)
& X264 = X267 )
& ? [X266] :
( rline(X266)
& X265 = X266 )
& ron(X259,X264)
& ron(X260,X264)
& ron(X262,X264)
& ron(X261,X265)
& ron(X263,X265)
& X259 != X260
& X259 != X261
& X259 != X262
& X259 != X263
& ~ rR(X259,X260,X262)
& ~ rR(X259,X261,X263) )
=> vangle(X260,X259,X261) = vangle(X262,X259,X263) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(194), 0), imp(cond(axiom(194), 0)))') ).
fof(f7454,plain,
spl57_289,
inference(avatar_split_clause,[],[f1421,f7452]) ).
fof(f7452,plain,
( spl57_289
<=> ! [X10,X9,X11,X6,X8,X7] :
( vangle(X9,X10,X11) = vangle(X6,X7,X8)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| vf(X9,X10) != vf(X6,X7)
| vf(X9,X11) != vf(X6,X8)
| vangle(X7,X6,X8) != vangle(X10,X9,X11)
| rline(sK48(X9,X10,X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_289])]) ).
fof(f1421,plain,
! [X10,X11,X8,X6,X9,X7] :
( vangle(X9,X10,X11) = vangle(X6,X7,X8)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| vf(X9,X10) != vf(X6,X7)
| vf(X9,X11) != vf(X6,X8)
| vangle(X7,X6,X8) != vangle(X10,X9,X11)
| rline(sK48(X9,X10,X11)) ),
inference(equality_resolution,[],[f1420]) ).
fof(f1420,plain,
! [X10,X11,X8,X6,X9,X7,X5] :
( vangle(X6,X7,X8) = vangle(X9,X10,X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| X5 != X11
| vf(X9,X10) != vf(X6,X7)
| vf(X6,X8) != vf(X9,X5)
| vangle(X7,X6,X8) != vangle(X10,X9,X5)
| rline(sK48(X9,X10,X5)) ),
inference(equality_resolution,[],[f1419]) ).
fof(f1419,plain,
! [X10,X11,X8,X6,X9,X7,X4,X5] :
( vangle(X6,X7,X8) = vangle(X9,X4,X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X6,X7) != vf(X9,X4)
| vf(X6,X8) != vf(X9,X5)
| vangle(X7,X6,X8) != vangle(X4,X9,X5)
| rline(sK48(X9,X4,X5)) ),
inference(equality_resolution,[],[f1418]) ).
fof(f1418,plain,
! [X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( vangle(X3,X4,X5) = vangle(X6,X7,X8)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X3,X4) != vf(X6,X7)
| vf(X3,X5) != vf(X6,X8)
| vangle(X4,X3,X5) != vangle(X7,X6,X8)
| rline(sK48(X3,X4,X5)) ),
inference(equality_resolution,[],[f1417]) ).
fof(f1417,plain,
! [X2,X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( vangle(X3,X4,X5) = vangle(X6,X7,X2)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X2 != X8
| X6 = X7
| X2 = X6
| X2 = X7
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X3,X4) != vf(X6,X7)
| vf(X3,X5) != vf(X6,X2)
| vangle(X4,X3,X5) != vangle(X7,X6,X2)
| rline(sK48(X3,X4,X5)) ),
inference(equality_resolution,[],[f1416]) ).
fof(f1416,plain,
! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X4,X5] :
( vangle(X3,X4,X5) = vangle(X6,X1,X2)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X1 != X7
| ~ rpoint(X8)
| X2 != X8
| X1 = X6
| X2 = X6
| X1 = X2
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X3,X4) != vf(X6,X1)
| vf(X3,X5) != vf(X6,X2)
| vangle(X4,X3,X5) != vangle(X1,X6,X2)
| rline(sK48(X3,X4,X5)) ),
inference(equality_resolution,[],[f825]) ).
fof(f825,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( vangle(X0,X1,X2) = vangle(X3,X4,X5)
| ~ rpoint(X6)
| X0 != X6
| ~ rpoint(X7)
| X1 != X7
| ~ rpoint(X8)
| X2 != X8
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X0,X1) != vf(X3,X4)
| vf(X0,X2) != vf(X3,X5)
| vangle(X1,X0,X2) != vangle(X4,X3,X5)
| rline(sK48(X3,X4,X5)) ),
inference(cnf_transformation,[],[f583]) ).
fof(f7433,plain,
spl57_288,
inference(avatar_split_clause,[],[f1397,f7431]) ).
fof(f7431,plain,
( spl57_288
<=> ! [X10,X11,X9,X7,X6,X8] :
( vangle(X9,X11,X10) = vangle(X6,X8,X7)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| vf(X9,X10) != vf(X6,X7)
| vf(X9,X11) != vf(X6,X8)
| vangle(X7,X6,X8) != vangle(X10,X9,X11)
| rline(sK47(X9,X10,X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_288])]) ).
fof(f1397,plain,
! [X10,X11,X8,X6,X9,X7] :
( vangle(X9,X11,X10) = vangle(X6,X8,X7)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| vf(X9,X10) != vf(X6,X7)
| vf(X9,X11) != vf(X6,X8)
| vangle(X7,X6,X8) != vangle(X10,X9,X11)
| rline(sK47(X9,X10,X11)) ),
inference(equality_resolution,[],[f1396]) ).
fof(f1396,plain,
! [X10,X11,X8,X6,X9,X7,X5] :
( vangle(X6,X8,X7) = vangle(X9,X5,X10)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| X5 != X11
| vf(X9,X10) != vf(X6,X7)
| vf(X6,X8) != vf(X9,X5)
| vangle(X7,X6,X8) != vangle(X10,X9,X5)
| rline(sK47(X9,X10,X5)) ),
inference(equality_resolution,[],[f1395]) ).
fof(f1395,plain,
! [X10,X11,X8,X6,X9,X7,X4,X5] :
( vangle(X6,X8,X7) = vangle(X9,X5,X4)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X6,X7) != vf(X9,X4)
| vf(X6,X8) != vf(X9,X5)
| vangle(X7,X6,X8) != vangle(X4,X9,X5)
| rline(sK47(X9,X4,X5)) ),
inference(equality_resolution,[],[f1394]) ).
fof(f1394,plain,
! [X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( vangle(X3,X5,X4) = vangle(X6,X8,X7)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X3,X4) != vf(X6,X7)
| vf(X3,X5) != vf(X6,X8)
| vangle(X4,X3,X5) != vangle(X7,X6,X8)
| rline(sK47(X3,X4,X5)) ),
inference(equality_resolution,[],[f1393]) ).
fof(f1393,plain,
! [X2,X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( vangle(X3,X5,X4) = vangle(X6,X2,X7)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X2 != X8
| X6 = X7
| X2 = X6
| X2 = X7
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X3,X4) != vf(X6,X7)
| vf(X3,X5) != vf(X6,X2)
| vangle(X4,X3,X5) != vangle(X7,X6,X2)
| rline(sK47(X3,X4,X5)) ),
inference(equality_resolution,[],[f1392]) ).
fof(f1392,plain,
! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X4,X5] :
( vangle(X3,X5,X4) = vangle(X6,X2,X1)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X1 != X7
| ~ rpoint(X8)
| X2 != X8
| X1 = X6
| X2 = X6
| X1 = X2
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X3,X4) != vf(X6,X1)
| vf(X3,X5) != vf(X6,X2)
| vangle(X4,X3,X5) != vangle(X1,X6,X2)
| rline(sK47(X3,X4,X5)) ),
inference(equality_resolution,[],[f821]) ).
fof(f821,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( vangle(X0,X2,X1) = vangle(X3,X5,X4)
| ~ rpoint(X6)
| X0 != X6
| ~ rpoint(X7)
| X1 != X7
| ~ rpoint(X8)
| X2 != X8
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X0,X1) != vf(X3,X4)
| vf(X0,X2) != vf(X3,X5)
| vangle(X1,X0,X2) != vangle(X4,X3,X5)
| rline(sK47(X3,X4,X5)) ),
inference(cnf_transformation,[],[f581]) ).
fof(f7371,plain,
( spl57_287
| ~ spl57_1
| ~ spl57_3
| ~ spl57_285 ),
inference(avatar_split_clause,[],[f6907,f6855,f1647,f1637,f7368]) ).
fof(f6855,plain,
( spl57_285
<=> ! [X0] :
( ~ rline(X0)
| ~ ron(sK8,X0)
| rintersect(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_285])]) ).
fof(f6907,plain,
( ~ rline(sK5)
| rintersect(sK5,sK5)
| ~ spl57_3
| ~ spl57_285 ),
inference(resolution,[],[f6856,f1649]) ).
fof(f6856,plain,
( ! [X0] :
( ~ ron(sK8,X0)
| ~ rline(X0)
| rintersect(X0,sK5) )
| ~ spl57_285 ),
inference(avatar_component_clause,[],[f6855]) ).
fof(f7079,plain,
( spl57_286
| ~ spl57_12
| ~ spl57_19
| ~ spl57_285 ),
inference(avatar_split_clause,[],[f6906,f6855,f1727,f1692,f7076]) ).
fof(f7076,plain,
( spl57_286
<=> rintersect(vd1416,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_286])]) ).
fof(f6906,plain,
( ~ rline(vd1416)
| rintersect(vd1416,sK5)
| ~ spl57_19
| ~ spl57_285 ),
inference(resolution,[],[f6856,f1729]) ).
fof(f6857,plain,
( ~ spl57_9
| spl57_285
| ~ spl57_3
| ~ spl57_284 ),
inference(avatar_split_clause,[],[f6639,f6535,f1647,f6855,f1677]) ).
fof(f6639,plain,
( ! [X0] :
( ~ rline(X0)
| rintersect(X0,sK5)
| ~ ron(sK8,X0)
| ~ rpoint(sK8) )
| ~ spl57_3
| ~ spl57_284 ),
inference(resolution,[],[f6536,f1649]) ).
fof(f6537,plain,
( ~ spl57_9
| spl57_284
| ~ spl57_129
| ~ spl57_283 ),
inference(avatar_split_clause,[],[f6394,f6190,f2308,f6535,f1677]) ).
fof(f6394,plain,
( ! [X0,X1] :
( rintersect(X0,sK5)
| ~ ron(X1,sK5)
| ~ rpoint(X1)
| ~ rline(X0)
| ~ rpoint(sK8)
| ~ ron(X1,X0) )
| ~ spl57_129
| ~ spl57_283 ),
inference(duplicate_literal_removal,[],[f6393]) ).
fof(f6393,plain,
( ! [X0,X1] :
( rintersect(X0,sK5)
| ~ ron(X1,sK5)
| ~ rpoint(X1)
| ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK8)
| ~ rline(X0)
| ~ ron(X1,X0) )
| ~ spl57_129
| ~ spl57_283 ),
inference(resolution,[],[f6191,f2309]) ).
fof(f6192,plain,
( ~ spl57_1
| ~ spl57_9
| spl57_283
| ~ spl57_3
| ~ spl57_182 ),
inference(avatar_split_clause,[],[f3018,f2869,f1647,f6190,f1677,f1637]) ).
fof(f3018,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK8)
| ~ rline(X1)
| rS(X0,sK8,X1)
| ~ rline(sK5)
| ~ ron(X0,sK5)
| rintersect(X1,sK5) )
| ~ spl57_3
| ~ spl57_182 ),
inference(resolution,[],[f2870,f1649]) ).
fof(f5537,plain,
( ~ spl57_7
| ~ spl57_281 ),
inference(avatar_contradiction_clause,[],[f5511]) ).
fof(f5511,plain,
( $false
| ~ spl57_7
| ~ spl57_281 ),
inference(resolution,[],[f5506,f1669]) ).
fof(f5506,plain,
( ! [X12] : ~ rpoint(X12)
| ~ spl57_281 ),
inference(avatar_component_clause,[],[f5505]) ).
fof(f5505,plain,
( spl57_281
<=> ! [X12] : ~ rpoint(X12) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_281])]) ).
fof(f5536,plain,
( ~ spl57_6
| ~ spl57_281 ),
inference(avatar_contradiction_clause,[],[f5512]) ).
fof(f5512,plain,
( $false
| ~ spl57_6
| ~ spl57_281 ),
inference(resolution,[],[f5506,f1664]) ).
fof(f5535,plain,
( ~ spl57_11
| ~ spl57_281 ),
inference(avatar_contradiction_clause,[],[f5513]) ).
fof(f5513,plain,
( $false
| ~ spl57_11
| ~ spl57_281 ),
inference(resolution,[],[f5506,f1689]) ).
fof(f5534,plain,
( ~ spl57_10
| ~ spl57_281 ),
inference(avatar_contradiction_clause,[],[f5514]) ).
fof(f5514,plain,
( $false
| ~ spl57_10
| ~ spl57_281 ),
inference(resolution,[],[f5506,f1684]) ).
fof(f5533,plain,
( ~ spl57_9
| ~ spl57_281 ),
inference(avatar_contradiction_clause,[],[f5515]) ).
fof(f5515,plain,
( $false
| ~ spl57_9
| ~ spl57_281 ),
inference(resolution,[],[f5506,f1679]) ).
fof(f5510,plain,
( spl57_281
| spl57_282 ),
inference(avatar_split_clause,[],[f1589,f5508,f5505]) ).
fof(f5508,plain,
( spl57_282
<=> ! [X15,X11,X9,X13,X14,X10,X8] :
( rintersect(X13,X14)
| ~ rless(vplus(vangle(X8,X9,X10),vangle(X9,X10,X11)),vplus(vperp,vperp))
| ~ rS(X8,X11,X14)
| X9 = X10
| ~ ron(X10,X15)
| ~ ron(X9,X14)
| ~ rline(X15)
| ~ rline(X14)
| ~ rline(X13)
| ~ rpoint(X11)
| ~ ron(X11,X15)
| ~ rpoint(X10)
| ~ ron(X10,X14)
| ~ rpoint(X9)
| ~ ron(X9,X13)
| ~ rpoint(X8)
| ~ ron(X8,X13) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_282])]) ).
fof(f1589,plain,
! [X10,X11,X8,X9,X14,X15,X12,X13] :
( rintersect(X13,X14)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rline(X13)
| ~ rline(X14)
| ~ rline(X15)
| ~ ron(X8,X13)
| ~ ron(X9,X13)
| ~ ron(X9,X14)
| ~ ron(X10,X14)
| ~ ron(X10,X15)
| ~ ron(X11,X15)
| X9 = X10
| ~ rS(X8,X11,X14)
| ~ rless(vplus(vangle(X8,X9,X10),vangle(X9,X10,X11)),vplus(vperp,vperp)) ),
inference(equality_resolution,[],[f1588]) ).
fof(f1588,plain,
! [X10,X11,X8,X9,X7,X14,X15,X12,X13] :
( rintersect(X13,X14)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rline(X13)
| ~ rline(X14)
| ~ rline(X15)
| X7 != X15
| ~ ron(X8,X13)
| ~ ron(X9,X13)
| ~ ron(X9,X14)
| ~ ron(X10,X14)
| ~ ron(X10,X7)
| ~ ron(X11,X7)
| X9 = X10
| ~ rS(X8,X11,X14)
| ~ rless(vplus(vangle(X8,X9,X10),vangle(X9,X10,X11)),vplus(vperp,vperp)) ),
inference(equality_resolution,[],[f1587]) ).
fof(f1587,plain,
! [X10,X11,X8,X6,X9,X7,X14,X15,X12,X13] :
( rintersect(X13,X6)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rline(X13)
| ~ rline(X14)
| X6 != X14
| ~ rline(X15)
| X7 != X15
| ~ ron(X8,X13)
| ~ ron(X9,X13)
| ~ ron(X9,X6)
| ~ ron(X10,X6)
| ~ ron(X10,X7)
| ~ ron(X11,X7)
| X9 = X10
| ~ rS(X8,X11,X6)
| ~ rless(vplus(vangle(X8,X9,X10),vangle(X9,X10,X11)),vplus(vperp,vperp)) ),
inference(equality_resolution,[],[f1586]) ).
fof(f1586,plain,
! [X10,X11,X8,X6,X9,X7,X14,X15,X5,X12,X13] :
( rintersect(X5,X6)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rline(X13)
| X5 != X13
| ~ rline(X14)
| X6 != X14
| ~ rline(X15)
| X7 != X15
| ~ ron(X8,X5)
| ~ ron(X9,X5)
| ~ ron(X9,X6)
| ~ ron(X10,X6)
| ~ ron(X10,X7)
| ~ ron(X11,X7)
| X9 = X10
| ~ rS(X8,X11,X6)
| ~ rless(vplus(vangle(X8,X9,X10),vangle(X9,X10,X11)),vplus(vperp,vperp)) ),
inference(equality_resolution,[],[f1585]) ).
fof(f1585,plain,
! [X10,X11,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
( rintersect(X5,X6)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| X4 != X12
| ~ rline(X13)
| X5 != X13
| ~ rline(X14)
| X6 != X14
| ~ rline(X15)
| X7 != X15
| ~ ron(X8,X5)
| ~ ron(X9,X5)
| ~ ron(X9,X6)
| ~ ron(X10,X6)
| ~ ron(X10,X7)
| ~ ron(X11,X7)
| X9 = X10
| ~ rS(X8,X11,X6)
| ~ rless(vplus(vangle(X8,X9,X10),vangle(X9,X10,X11)),vplus(vperp,vperp)) ),
inference(equality_resolution,[],[f1584]) ).
fof(f1584,plain,
! [X3,X10,X11,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
( rintersect(X5,X6)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| X3 != X11
| ~ rpoint(X12)
| X4 != X12
| ~ rline(X13)
| X5 != X13
| ~ rline(X14)
| X6 != X14
| ~ rline(X15)
| X7 != X15
| ~ ron(X8,X5)
| ~ ron(X9,X5)
| ~ ron(X9,X6)
| ~ ron(X10,X6)
| ~ ron(X10,X7)
| ~ ron(X3,X7)
| X9 = X10
| ~ rS(X8,X3,X6)
| ~ rless(vplus(vangle(X8,X9,X10),vangle(X9,X10,X3)),vplus(vperp,vperp)) ),
inference(equality_resolution,[],[f1583]) ).
fof(f1583,plain,
! [X2,X3,X10,X11,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
( rintersect(X5,X6)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| X2 != X10
| ~ rpoint(X11)
| X3 != X11
| ~ rpoint(X12)
| X4 != X12
| ~ rline(X13)
| X5 != X13
| ~ rline(X14)
| X6 != X14
| ~ rline(X15)
| X7 != X15
| ~ ron(X8,X5)
| ~ ron(X9,X5)
| ~ ron(X9,X6)
| ~ ron(X2,X6)
| ~ ron(X2,X7)
| ~ ron(X3,X7)
| X2 = X9
| ~ rS(X8,X3,X6)
| ~ rless(vplus(vangle(X8,X9,X2),vangle(X9,X2,X3)),vplus(vperp,vperp)) ),
inference(equality_resolution,[],[f1582]) ).
fof(f1582,plain,
! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
( rintersect(X5,X6)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X1 != X9
| ~ rpoint(X10)
| X2 != X10
| ~ rpoint(X11)
| X3 != X11
| ~ rpoint(X12)
| X4 != X12
| ~ rline(X13)
| X5 != X13
| ~ rline(X14)
| X6 != X14
| ~ rline(X15)
| X7 != X15
| ~ ron(X8,X5)
| ~ ron(X1,X5)
| ~ ron(X1,X6)
| ~ ron(X2,X6)
| ~ ron(X2,X7)
| ~ ron(X3,X7)
| X1 = X2
| ~ rS(X8,X3,X6)
| ~ rless(vplus(vangle(X8,X1,X2),vangle(X1,X2,X3)),vplus(vperp,vperp)) ),
inference(equality_resolution,[],[f865]) ).
fof(f865,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
( rintersect(X5,X6)
| ~ rpoint(X8)
| X0 != X8
| ~ rpoint(X9)
| X1 != X9
| ~ rpoint(X10)
| X2 != X10
| ~ rpoint(X11)
| X3 != X11
| ~ rpoint(X12)
| X4 != X12
| ~ rline(X13)
| X5 != X13
| ~ rline(X14)
| X6 != X14
| ~ rline(X15)
| X7 != X15
| ~ ron(X0,X5)
| ~ ron(X1,X5)
| ~ ron(X1,X6)
| ~ ron(X2,X6)
| ~ ron(X2,X7)
| ~ ron(X3,X7)
| X1 = X2
| ~ rS(X0,X3,X6)
| ~ rless(vplus(vangle(X0,X1,X2),vangle(X1,X2,X3)),vplus(vperp,vperp)) ),
inference(cnf_transformation,[],[f460]) ).
fof(f5503,plain,
spl57_280,
inference(avatar_split_clause,[],[f1391,f5501]) ).
fof(f5501,plain,
( spl57_280
<=> ! [X6,X9,X11,X10,X8,X7] :
( vf(X7,X8) = vf(X10,X11)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| vf(X9,X10) != vf(X6,X7)
| vf(X9,X11) != vf(X6,X8)
| vangle(X7,X6,X8) != vangle(X10,X9,X11)
| ron(X11,sK46(X9,X10,X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_280])]) ).
fof(f1391,plain,
! [X10,X11,X8,X6,X9,X7] :
( vf(X7,X8) = vf(X10,X11)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| vf(X9,X10) != vf(X6,X7)
| vf(X9,X11) != vf(X6,X8)
| vangle(X7,X6,X8) != vangle(X10,X9,X11)
| ron(X11,sK46(X9,X10,X11)) ),
inference(equality_resolution,[],[f1390]) ).
fof(f1390,plain,
! [X10,X11,X8,X6,X9,X7,X5] :
( vf(X7,X8) = vf(X10,X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| X5 != X11
| vf(X9,X10) != vf(X6,X7)
| vf(X6,X8) != vf(X9,X5)
| vangle(X7,X6,X8) != vangle(X10,X9,X5)
| ron(X5,sK46(X9,X10,X5)) ),
inference(equality_resolution,[],[f1389]) ).
fof(f1389,plain,
! [X10,X11,X8,X6,X9,X7,X4,X5] :
( vf(X4,X5) = vf(X7,X8)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X6,X7) != vf(X9,X4)
| vf(X6,X8) != vf(X9,X5)
| vangle(X7,X6,X8) != vangle(X4,X9,X5)
| ron(X5,sK46(X9,X4,X5)) ),
inference(equality_resolution,[],[f1388]) ).
fof(f1388,plain,
! [X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( vf(X4,X5) = vf(X7,X8)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X3,X4) != vf(X6,X7)
| vf(X3,X5) != vf(X6,X8)
| vangle(X4,X3,X5) != vangle(X7,X6,X8)
| ron(X5,sK46(X3,X4,X5)) ),
inference(equality_resolution,[],[f1387]) ).
fof(f1387,plain,
! [X2,X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( vf(X4,X5) = vf(X7,X2)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X2 != X8
| X6 = X7
| X2 = X6
| X2 = X7
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X3,X4) != vf(X6,X7)
| vf(X3,X5) != vf(X6,X2)
| vangle(X4,X3,X5) != vangle(X7,X6,X2)
| ron(X5,sK46(X3,X4,X5)) ),
inference(equality_resolution,[],[f1386]) ).
fof(f1386,plain,
! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X4,X5] :
( vf(X1,X2) = vf(X4,X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X1 != X7
| ~ rpoint(X8)
| X2 != X8
| X1 = X6
| X2 = X6
| X1 = X2
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X3,X4) != vf(X6,X1)
| vf(X3,X5) != vf(X6,X2)
| vangle(X4,X3,X5) != vangle(X1,X6,X2)
| ron(X5,sK46(X3,X4,X5)) ),
inference(equality_resolution,[],[f814]) ).
fof(f814,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( vf(X1,X2) = vf(X4,X5)
| ~ rpoint(X6)
| X0 != X6
| ~ rpoint(X7)
| X1 != X7
| ~ rpoint(X8)
| X2 != X8
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X0,X1) != vf(X3,X4)
| vf(X0,X2) != vf(X3,X5)
| vangle(X1,X0,X2) != vangle(X4,X3,X5)
| ron(X5,sK46(X3,X4,X5)) ),
inference(cnf_transformation,[],[f579]) ).
fof(f579,plain,
! [X0,X1,X2,X3,X4,X5] :
( vf(X1,X2) = vf(X4,X5)
| ! [X6] :
( ~ rpoint(X6)
| X0 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X1 != X7 )
| ! [X8] :
( ~ rpoint(X8)
| X2 != X8 )
| X0 = X1
| X0 = X2
| X1 = X2
| ! [X9] :
( ~ rpoint(X9)
| X3 != X9 )
| ! [X10] :
( ~ rpoint(X10)
| X4 != X10 )
| ! [X11] :
( ~ rpoint(X11)
| X5 != X11 )
| vf(X0,X1) != vf(X3,X4)
| vf(X0,X2) != vf(X3,X5)
| vangle(X1,X0,X2) != vangle(X4,X3,X5)
| ( rline(sK46(X3,X4,X5))
& ron(X3,sK46(X3,X4,X5))
& ron(X4,sK46(X3,X4,X5))
& ron(X5,sK46(X3,X4,X5)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK46])],[f422,f578]) ).
fof(f578,plain,
! [X3,X4,X5] :
( ? [X12] :
( rline(X12)
& ron(X3,X12)
& ron(X4,X12)
& ron(X5,X12) )
=> ( rline(sK46(X3,X4,X5))
& ron(X3,sK46(X3,X4,X5))
& ron(X4,sK46(X3,X4,X5))
& ron(X5,sK46(X3,X4,X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f422,plain,
! [X0,X1,X2,X3,X4,X5] :
( vf(X1,X2) = vf(X4,X5)
| ! [X6] :
( ~ rpoint(X6)
| X0 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X1 != X7 )
| ! [X8] :
( ~ rpoint(X8)
| X2 != X8 )
| X0 = X1
| X0 = X2
| X1 = X2
| ! [X9] :
( ~ rpoint(X9)
| X3 != X9 )
| ! [X10] :
( ~ rpoint(X10)
| X4 != X10 )
| ! [X11] :
( ~ rpoint(X11)
| X5 != X11 )
| vf(X0,X1) != vf(X3,X4)
| vf(X0,X2) != vf(X3,X5)
| vangle(X1,X0,X2) != vangle(X4,X3,X5)
| ? [X12] :
( rline(X12)
& ron(X3,X12)
& ron(X4,X12)
& ron(X5,X12) ) ),
inference(flattening,[],[f421]) ).
fof(f421,plain,
! [X0,X1,X2,X3,X4,X5] :
( vf(X1,X2) = vf(X4,X5)
| ! [X6] :
( ~ rpoint(X6)
| X0 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X1 != X7 )
| ! [X8] :
( ~ rpoint(X8)
| X2 != X8 )
| X0 = X1
| X0 = X2
| X1 = X2
| ! [X9] :
( ~ rpoint(X9)
| X3 != X9 )
| ! [X10] :
( ~ rpoint(X10)
| X4 != X10 )
| ! [X11] :
( ~ rpoint(X11)
| X5 != X11 )
| vf(X0,X1) != vf(X3,X4)
| vf(X0,X2) != vf(X3,X5)
| vangle(X1,X0,X2) != vangle(X4,X3,X5)
| ? [X12] :
( rline(X12)
& ron(X3,X12)
& ron(X4,X12)
& ron(X5,X12) ) ),
inference(ennf_transformation,[],[f220]) ).
fof(f220,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ? [X6] :
( rpoint(X6)
& X0 = X6 )
& ? [X7] :
( rpoint(X7)
& X1 = X7 )
& ? [X8] :
( rpoint(X8)
& X2 = X8 )
& X0 != X1
& X0 != X2
& X1 != X2
& ? [X9] :
( rpoint(X9)
& X3 = X9 )
& ? [X10] :
( rpoint(X10)
& X4 = X10 )
& ? [X11] :
( rpoint(X11)
& X5 = X11 )
& vf(X0,X1) = vf(X3,X4)
& vf(X0,X2) = vf(X3,X5)
& vangle(X1,X0,X2) = vangle(X4,X3,X5)
& ~ ? [X12] :
( rline(X12)
& ron(X3,X12)
& ron(X4,X12)
& ron(X5,X12) ) )
=> vf(X1,X2) = vf(X4,X5) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X25,X26,X27,X28,X29,X30] :
( ( ? [X37] :
( rpoint(X37)
& X25 = X37 )
& ? [X36] :
( rpoint(X36)
& X26 = X36 )
& ? [X35] :
( rpoint(X35)
& X27 = X35 )
& X25 != X26
& X25 != X27
& X26 != X27
& ? [X34] :
( rpoint(X34)
& X28 = X34 )
& ? [X33] :
( rpoint(X33)
& X29 = X33 )
& ? [X32] :
( rpoint(X32)
& X30 = X32 )
& vf(X25,X26) = vf(X28,X29)
& vf(X25,X27) = vf(X28,X30)
& vangle(X26,X25,X27) = vangle(X29,X28,X30)
& ~ ? [X31] :
( rline(X31)
& ron(X28,X31)
& ron(X29,X31)
& ron(X30,X31) ) )
=> vf(X26,X27) = vf(X29,X30) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(264), 0), 2)') ).
fof(f5499,plain,
spl57_279,
inference(avatar_split_clause,[],[f1385,f5497]) ).
fof(f5497,plain,
( spl57_279
<=> ! [X6,X9,X11,X10,X8,X7] :
( vf(X7,X8) = vf(X10,X11)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| vf(X9,X10) != vf(X6,X7)
| vf(X9,X11) != vf(X6,X8)
| vangle(X7,X6,X8) != vangle(X10,X9,X11)
| ron(X10,sK46(X9,X10,X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_279])]) ).
fof(f1385,plain,
! [X10,X11,X8,X6,X9,X7] :
( vf(X7,X8) = vf(X10,X11)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| vf(X9,X10) != vf(X6,X7)
| vf(X9,X11) != vf(X6,X8)
| vangle(X7,X6,X8) != vangle(X10,X9,X11)
| ron(X10,sK46(X9,X10,X11)) ),
inference(equality_resolution,[],[f1384]) ).
fof(f1384,plain,
! [X10,X11,X8,X6,X9,X7,X5] :
( vf(X7,X8) = vf(X10,X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| X5 != X11
| vf(X9,X10) != vf(X6,X7)
| vf(X6,X8) != vf(X9,X5)
| vangle(X7,X6,X8) != vangle(X10,X9,X5)
| ron(X10,sK46(X9,X10,X5)) ),
inference(equality_resolution,[],[f1383]) ).
fof(f1383,plain,
! [X10,X11,X8,X6,X9,X7,X4,X5] :
( vf(X4,X5) = vf(X7,X8)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X6,X7) != vf(X9,X4)
| vf(X6,X8) != vf(X9,X5)
| vangle(X7,X6,X8) != vangle(X4,X9,X5)
| ron(X4,sK46(X9,X4,X5)) ),
inference(equality_resolution,[],[f1382]) ).
fof(f1382,plain,
! [X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( vf(X4,X5) = vf(X7,X8)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X3,X4) != vf(X6,X7)
| vf(X3,X5) != vf(X6,X8)
| vangle(X4,X3,X5) != vangle(X7,X6,X8)
| ron(X4,sK46(X3,X4,X5)) ),
inference(equality_resolution,[],[f1381]) ).
fof(f1381,plain,
! [X2,X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( vf(X4,X5) = vf(X7,X2)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X2 != X8
| X6 = X7
| X2 = X6
| X2 = X7
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X3,X4) != vf(X6,X7)
| vf(X3,X5) != vf(X6,X2)
| vangle(X4,X3,X5) != vangle(X7,X6,X2)
| ron(X4,sK46(X3,X4,X5)) ),
inference(equality_resolution,[],[f1380]) ).
fof(f1380,plain,
! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X4,X5] :
( vf(X1,X2) = vf(X4,X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X1 != X7
| ~ rpoint(X8)
| X2 != X8
| X1 = X6
| X2 = X6
| X1 = X2
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X3,X4) != vf(X6,X1)
| vf(X3,X5) != vf(X6,X2)
| vangle(X4,X3,X5) != vangle(X1,X6,X2)
| ron(X4,sK46(X3,X4,X5)) ),
inference(equality_resolution,[],[f815]) ).
fof(f815,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( vf(X1,X2) = vf(X4,X5)
| ~ rpoint(X6)
| X0 != X6
| ~ rpoint(X7)
| X1 != X7
| ~ rpoint(X8)
| X2 != X8
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X0,X1) != vf(X3,X4)
| vf(X0,X2) != vf(X3,X5)
| vangle(X1,X0,X2) != vangle(X4,X3,X5)
| ron(X4,sK46(X3,X4,X5)) ),
inference(cnf_transformation,[],[f579]) ).
fof(f5495,plain,
( ~ spl57_11
| spl57_278
| ~ spl57_1
| ~ spl57_4
| ~ spl57_177 ),
inference(avatar_split_clause,[],[f2977,f2840,f1652,f1637,f5493,f1687]) ).
fof(f5493,plain,
( spl57_278
<=> ! [X0] :
( ~ rpoint(X0)
| sK6 = X0
| rR(sK25(X0,sK6),X0,sK6)
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_278])]) ).
fof(f2977,plain,
( ! [X0] :
( ~ rline(sK5)
| ~ rpoint(X0)
| ~ rpoint(sK6)
| ~ ron(X0,sK5)
| rR(sK25(X0,sK6),X0,sK6)
| sK6 = X0 )
| ~ spl57_4
| ~ spl57_177 ),
inference(resolution,[],[f2841,f1654]) ).
fof(f5491,plain,
spl57_277,
inference(avatar_split_clause,[],[f1379,f5489]) ).
fof(f5489,plain,
( spl57_277
<=> ! [X6,X9,X11,X10,X8,X7] :
( vf(X7,X8) = vf(X10,X11)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| vf(X9,X10) != vf(X6,X7)
| vf(X9,X11) != vf(X6,X8)
| vangle(X7,X6,X8) != vangle(X10,X9,X11)
| ron(X9,sK46(X9,X10,X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_277])]) ).
fof(f1379,plain,
! [X10,X11,X8,X6,X9,X7] :
( vf(X7,X8) = vf(X10,X11)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| vf(X9,X10) != vf(X6,X7)
| vf(X9,X11) != vf(X6,X8)
| vangle(X7,X6,X8) != vangle(X10,X9,X11)
| ron(X9,sK46(X9,X10,X11)) ),
inference(equality_resolution,[],[f1378]) ).
fof(f1378,plain,
! [X10,X11,X8,X6,X9,X7,X5] :
( vf(X7,X8) = vf(X10,X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| X5 != X11
| vf(X9,X10) != vf(X6,X7)
| vf(X6,X8) != vf(X9,X5)
| vangle(X7,X6,X8) != vangle(X10,X9,X5)
| ron(X9,sK46(X9,X10,X5)) ),
inference(equality_resolution,[],[f1377]) ).
fof(f1377,plain,
! [X10,X11,X8,X6,X9,X7,X4,X5] :
( vf(X4,X5) = vf(X7,X8)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X6,X7) != vf(X9,X4)
| vf(X6,X8) != vf(X9,X5)
| vangle(X7,X6,X8) != vangle(X4,X9,X5)
| ron(X9,sK46(X9,X4,X5)) ),
inference(equality_resolution,[],[f1376]) ).
fof(f1376,plain,
! [X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( vf(X4,X5) = vf(X7,X8)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X3,X4) != vf(X6,X7)
| vf(X3,X5) != vf(X6,X8)
| vangle(X4,X3,X5) != vangle(X7,X6,X8)
| ron(X3,sK46(X3,X4,X5)) ),
inference(equality_resolution,[],[f1375]) ).
fof(f1375,plain,
! [X2,X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( vf(X4,X5) = vf(X7,X2)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X2 != X8
| X6 = X7
| X2 = X6
| X2 = X7
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X3,X4) != vf(X6,X7)
| vf(X3,X5) != vf(X6,X2)
| vangle(X4,X3,X5) != vangle(X7,X6,X2)
| ron(X3,sK46(X3,X4,X5)) ),
inference(equality_resolution,[],[f1374]) ).
fof(f1374,plain,
! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X4,X5] :
( vf(X1,X2) = vf(X4,X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X1 != X7
| ~ rpoint(X8)
| X2 != X8
| X1 = X6
| X2 = X6
| X1 = X2
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X3,X4) != vf(X6,X1)
| vf(X3,X5) != vf(X6,X2)
| vangle(X4,X3,X5) != vangle(X1,X6,X2)
| ron(X3,sK46(X3,X4,X5)) ),
inference(equality_resolution,[],[f816]) ).
fof(f816,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( vf(X1,X2) = vf(X4,X5)
| ~ rpoint(X6)
| X0 != X6
| ~ rpoint(X7)
| X1 != X7
| ~ rpoint(X8)
| X2 != X8
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X0,X1) != vf(X3,X4)
| vf(X0,X2) != vf(X3,X5)
| vangle(X1,X0,X2) != vangle(X4,X3,X5)
| ron(X3,sK46(X3,X4,X5)) ),
inference(cnf_transformation,[],[f579]) ).
fof(f5487,plain,
spl57_276,
inference(avatar_split_clause,[],[f1265,f5485]) ).
fof(f5485,plain,
( spl57_276
<=> ! [X11,X9,X10,X6,X8,X7] :
( rS(X8,X9,X10)
| vangle(X7,X6,X8) != vplus(vangle(X7,X6,X9),vangle(X9,X6,X8))
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rline(X10)
| ~ rline(X11)
| ~ ron(X6,X10)
| ~ ron(X6,X11)
| ~ ron(X7,X10)
| ~ ron(X8,X11)
| X6 = X7
| X6 = X8
| ron(X9,X10)
| ron(X9,X11)
| X10 = X11 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_276])]) ).
fof(f1265,plain,
! [X10,X11,X8,X6,X9,X7] :
( rS(X8,X9,X10)
| vangle(X7,X6,X8) != vplus(vangle(X7,X6,X9),vangle(X9,X6,X8))
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rline(X10)
| ~ rline(X11)
| ~ ron(X6,X10)
| ~ ron(X6,X11)
| ~ ron(X7,X10)
| ~ ron(X8,X11)
| X6 = X7
| X6 = X8
| ron(X9,X10)
| ron(X9,X11)
| X10 = X11 ),
inference(equality_resolution,[],[f1264]) ).
fof(f1264,plain,
! [X10,X11,X8,X6,X9,X7,X5] :
( rS(X8,X9,X10)
| vangle(X7,X6,X8) != vplus(vangle(X7,X6,X9),vangle(X9,X6,X8))
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rline(X10)
| ~ rline(X11)
| X5 != X11
| ~ ron(X6,X10)
| ~ ron(X6,X5)
| ~ ron(X7,X10)
| ~ ron(X8,X5)
| X6 = X7
| X6 = X8
| ron(X9,X10)
| ron(X9,X5)
| X5 = X10 ),
inference(equality_resolution,[],[f1263]) ).
fof(f1263,plain,
! [X10,X11,X8,X6,X9,X7,X4,X5] :
( rS(X8,X9,X4)
| vangle(X7,X6,X8) != vplus(vangle(X7,X6,X9),vangle(X9,X6,X8))
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rline(X10)
| X4 != X10
| ~ rline(X11)
| X5 != X11
| ~ ron(X6,X4)
| ~ ron(X6,X5)
| ~ ron(X7,X4)
| ~ ron(X8,X5)
| X6 = X7
| X6 = X8
| ron(X9,X4)
| ron(X9,X5)
| X4 = X5 ),
inference(equality_resolution,[],[f1262]) ).
fof(f1262,plain,
! [X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( rS(X8,X3,X4)
| vangle(X7,X6,X8) != vplus(vangle(X7,X6,X3),vangle(X3,X6,X8))
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X3 != X9
| ~ rline(X10)
| X4 != X10
| ~ rline(X11)
| X5 != X11
| ~ ron(X6,X4)
| ~ ron(X6,X5)
| ~ ron(X7,X4)
| ~ ron(X8,X5)
| X6 = X7
| X6 = X8
| ron(X3,X4)
| ron(X3,X5)
| X4 = X5 ),
inference(equality_resolution,[],[f1261]) ).
fof(f1261,plain,
! [X2,X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( rS(X2,X3,X4)
| vangle(X7,X6,X2) != vplus(vangle(X7,X6,X3),vangle(X3,X6,X2))
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X2 != X8
| ~ rpoint(X9)
| X3 != X9
| ~ rline(X10)
| X4 != X10
| ~ rline(X11)
| X5 != X11
| ~ ron(X6,X4)
| ~ ron(X6,X5)
| ~ ron(X7,X4)
| ~ ron(X2,X5)
| X6 = X7
| X2 = X6
| ron(X3,X4)
| ron(X3,X5)
| X4 = X5 ),
inference(equality_resolution,[],[f1260]) ).
fof(f1260,plain,
! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X4,X5] :
( rS(X2,X3,X4)
| vangle(X1,X6,X2) != vplus(vangle(X1,X6,X3),vangle(X3,X6,X2))
| ~ rpoint(X6)
| ~ rpoint(X7)
| X1 != X7
| ~ rpoint(X8)
| X2 != X8
| ~ rpoint(X9)
| X3 != X9
| ~ rline(X10)
| X4 != X10
| ~ rline(X11)
| X5 != X11
| ~ ron(X6,X4)
| ~ ron(X6,X5)
| ~ ron(X1,X4)
| ~ ron(X2,X5)
| X1 = X6
| X2 = X6
| ron(X3,X4)
| ron(X3,X5)
| X4 = X5 ),
inference(equality_resolution,[],[f784]) ).
fof(f784,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( rS(X2,X3,X4)
| vangle(X1,X0,X2) != vplus(vangle(X1,X0,X3),vangle(X3,X0,X2))
| ~ rpoint(X6)
| X0 != X6
| ~ rpoint(X7)
| X1 != X7
| ~ rpoint(X8)
| X2 != X8
| ~ rpoint(X9)
| X3 != X9
| ~ rline(X10)
| X4 != X10
| ~ rline(X11)
| X5 != X11
| ~ ron(X0,X4)
| ~ ron(X0,X5)
| ~ ron(X1,X4)
| ~ ron(X2,X5)
| X0 = X1
| X0 = X2
| ron(X3,X4)
| ron(X3,X5)
| X4 = X5 ),
inference(cnf_transformation,[],[f564]) ).
fof(f5483,plain,
spl57_275,
inference(avatar_split_clause,[],[f1259,f5481]) ).
fof(f5481,plain,
( spl57_275
<=> ! [X6,X10,X11,X9,X8,X7] :
( rS(X7,X9,X11)
| vangle(X7,X6,X8) != vplus(vangle(X7,X6,X9),vangle(X9,X6,X8))
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rline(X10)
| ~ rline(X11)
| ~ ron(X6,X10)
| ~ ron(X6,X11)
| ~ ron(X7,X10)
| ~ ron(X8,X11)
| X6 = X7
| X6 = X8
| ron(X9,X10)
| ron(X9,X11)
| X10 = X11 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_275])]) ).
fof(f1259,plain,
! [X10,X11,X8,X6,X9,X7] :
( rS(X7,X9,X11)
| vangle(X7,X6,X8) != vplus(vangle(X7,X6,X9),vangle(X9,X6,X8))
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rline(X10)
| ~ rline(X11)
| ~ ron(X6,X10)
| ~ ron(X6,X11)
| ~ ron(X7,X10)
| ~ ron(X8,X11)
| X6 = X7
| X6 = X8
| ron(X9,X10)
| ron(X9,X11)
| X10 = X11 ),
inference(equality_resolution,[],[f1258]) ).
fof(f1258,plain,
! [X10,X11,X8,X6,X9,X7,X5] :
( rS(X7,X9,X5)
| vangle(X7,X6,X8) != vplus(vangle(X7,X6,X9),vangle(X9,X6,X8))
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rline(X10)
| ~ rline(X11)
| X5 != X11
| ~ ron(X6,X10)
| ~ ron(X6,X5)
| ~ ron(X7,X10)
| ~ ron(X8,X5)
| X6 = X7
| X6 = X8
| ron(X9,X10)
| ron(X9,X5)
| X5 = X10 ),
inference(equality_resolution,[],[f1257]) ).
fof(f1257,plain,
! [X10,X11,X8,X6,X9,X7,X4,X5] :
( rS(X7,X9,X5)
| vangle(X7,X6,X8) != vplus(vangle(X7,X6,X9),vangle(X9,X6,X8))
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rline(X10)
| X4 != X10
| ~ rline(X11)
| X5 != X11
| ~ ron(X6,X4)
| ~ ron(X6,X5)
| ~ ron(X7,X4)
| ~ ron(X8,X5)
| X6 = X7
| X6 = X8
| ron(X9,X4)
| ron(X9,X5)
| X4 = X5 ),
inference(equality_resolution,[],[f1256]) ).
fof(f1256,plain,
! [X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( rS(X7,X3,X5)
| vangle(X7,X6,X8) != vplus(vangle(X7,X6,X3),vangle(X3,X6,X8))
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X3 != X9
| ~ rline(X10)
| X4 != X10
| ~ rline(X11)
| X5 != X11
| ~ ron(X6,X4)
| ~ ron(X6,X5)
| ~ ron(X7,X4)
| ~ ron(X8,X5)
| X6 = X7
| X6 = X8
| ron(X3,X4)
| ron(X3,X5)
| X4 = X5 ),
inference(equality_resolution,[],[f1255]) ).
fof(f1255,plain,
! [X2,X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( rS(X7,X3,X5)
| vangle(X7,X6,X2) != vplus(vangle(X7,X6,X3),vangle(X3,X6,X2))
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X2 != X8
| ~ rpoint(X9)
| X3 != X9
| ~ rline(X10)
| X4 != X10
| ~ rline(X11)
| X5 != X11
| ~ ron(X6,X4)
| ~ ron(X6,X5)
| ~ ron(X7,X4)
| ~ ron(X2,X5)
| X6 = X7
| X2 = X6
| ron(X3,X4)
| ron(X3,X5)
| X4 = X5 ),
inference(equality_resolution,[],[f1254]) ).
fof(f1254,plain,
! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X4,X5] :
( rS(X1,X3,X5)
| vangle(X1,X6,X2) != vplus(vangle(X1,X6,X3),vangle(X3,X6,X2))
| ~ rpoint(X6)
| ~ rpoint(X7)
| X1 != X7
| ~ rpoint(X8)
| X2 != X8
| ~ rpoint(X9)
| X3 != X9
| ~ rline(X10)
| X4 != X10
| ~ rline(X11)
| X5 != X11
| ~ ron(X6,X4)
| ~ ron(X6,X5)
| ~ ron(X1,X4)
| ~ ron(X2,X5)
| X1 = X6
| X2 = X6
| ron(X3,X4)
| ron(X3,X5)
| X4 = X5 ),
inference(equality_resolution,[],[f785]) ).
fof(f785,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( rS(X1,X3,X5)
| vangle(X1,X0,X2) != vplus(vangle(X1,X0,X3),vangle(X3,X0,X2))
| ~ rpoint(X6)
| X0 != X6
| ~ rpoint(X7)
| X1 != X7
| ~ rpoint(X8)
| X2 != X8
| ~ rpoint(X9)
| X3 != X9
| ~ rline(X10)
| X4 != X10
| ~ rline(X11)
| X5 != X11
| ~ ron(X0,X4)
| ~ ron(X0,X5)
| ~ ron(X1,X4)
| ~ ron(X2,X5)
| X0 = X1
| X0 = X2
| ron(X3,X4)
| ron(X3,X5)
| X4 = X5 ),
inference(cnf_transformation,[],[f564]) ).
fof(f5475,plain,
spl57_274,
inference(avatar_split_clause,[],[f1373,f5473]) ).
fof(f5473,plain,
( spl57_274
<=> ! [X6,X9,X11,X10,X8,X7] :
( vf(X7,X8) = vf(X10,X11)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| vf(X9,X10) != vf(X6,X7)
| vf(X9,X11) != vf(X6,X8)
| vangle(X7,X6,X8) != vangle(X10,X9,X11)
| rline(sK46(X9,X10,X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_274])]) ).
fof(f1373,plain,
! [X10,X11,X8,X6,X9,X7] :
( vf(X7,X8) = vf(X10,X11)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| vf(X9,X10) != vf(X6,X7)
| vf(X9,X11) != vf(X6,X8)
| vangle(X7,X6,X8) != vangle(X10,X9,X11)
| rline(sK46(X9,X10,X11)) ),
inference(equality_resolution,[],[f1372]) ).
fof(f1372,plain,
! [X10,X11,X8,X6,X9,X7,X5] :
( vf(X7,X8) = vf(X10,X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| X5 != X11
| vf(X9,X10) != vf(X6,X7)
| vf(X6,X8) != vf(X9,X5)
| vangle(X7,X6,X8) != vangle(X10,X9,X5)
| rline(sK46(X9,X10,X5)) ),
inference(equality_resolution,[],[f1371]) ).
fof(f1371,plain,
! [X10,X11,X8,X6,X9,X7,X4,X5] :
( vf(X4,X5) = vf(X7,X8)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X6,X7) != vf(X9,X4)
| vf(X6,X8) != vf(X9,X5)
| vangle(X7,X6,X8) != vangle(X4,X9,X5)
| rline(sK46(X9,X4,X5)) ),
inference(equality_resolution,[],[f1370]) ).
fof(f1370,plain,
! [X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( vf(X4,X5) = vf(X7,X8)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X3,X4) != vf(X6,X7)
| vf(X3,X5) != vf(X6,X8)
| vangle(X4,X3,X5) != vangle(X7,X6,X8)
| rline(sK46(X3,X4,X5)) ),
inference(equality_resolution,[],[f1369]) ).
fof(f1369,plain,
! [X2,X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( vf(X4,X5) = vf(X7,X2)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X2 != X8
| X6 = X7
| X2 = X6
| X2 = X7
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X3,X4) != vf(X6,X7)
| vf(X3,X5) != vf(X6,X2)
| vangle(X4,X3,X5) != vangle(X7,X6,X2)
| rline(sK46(X3,X4,X5)) ),
inference(equality_resolution,[],[f1368]) ).
fof(f1368,plain,
! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X4,X5] :
( vf(X1,X2) = vf(X4,X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X1 != X7
| ~ rpoint(X8)
| X2 != X8
| X1 = X6
| X2 = X6
| X1 = X2
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X3,X4) != vf(X6,X1)
| vf(X3,X5) != vf(X6,X2)
| vangle(X4,X3,X5) != vangle(X1,X6,X2)
| rline(sK46(X3,X4,X5)) ),
inference(equality_resolution,[],[f817]) ).
fof(f817,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( vf(X1,X2) = vf(X4,X5)
| ~ rpoint(X6)
| X0 != X6
| ~ rpoint(X7)
| X1 != X7
| ~ rpoint(X8)
| X2 != X8
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X0,X1) != vf(X3,X4)
| vf(X0,X2) != vf(X3,X5)
| vangle(X1,X0,X2) != vangle(X4,X3,X5)
| rline(sK46(X3,X4,X5)) ),
inference(cnf_transformation,[],[f579]) ).
fof(f5456,plain,
spl57_273,
inference(avatar_split_clause,[],[f1569,f5454]) ).
fof(f1569,plain,
! [X10,X11,X8,X9,X7,X14,X12,X13] :
( rS(X13,X7,X8)
| ~ rline(X8)
| ~ rline(X9)
| ~ rline(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rpoint(X13)
| ~ rpoint(X14)
| ~ ron(X11,X8)
| ~ ron(X11,X9)
| ~ ron(X11,X10)
| ~ ron(X12,X8)
| ~ ron(X13,X9)
| ~ ron(X14,X10)
| ~ rS(X13,X14,X8)
| ~ rS(X12,X13,X10)
| ~ rS(X14,X7,X9)
| ~ rS(X13,X7,X10) ),
inference(equality_resolution,[],[f1568]) ).
fof(f1568,plain,
! [X10,X11,X8,X6,X9,X7,X14,X12,X13] :
( rS(X13,X7,X8)
| ~ rline(X8)
| ~ rline(X9)
| ~ rline(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rpoint(X13)
| ~ rpoint(X14)
| X6 != X14
| ~ ron(X11,X8)
| ~ ron(X11,X9)
| ~ ron(X11,X10)
| ~ ron(X12,X8)
| ~ ron(X13,X9)
| ~ ron(X6,X10)
| ~ rS(X13,X6,X8)
| ~ rS(X12,X13,X10)
| ~ rS(X6,X7,X9)
| ~ rS(X13,X7,X10) ),
inference(equality_resolution,[],[f1567]) ).
fof(f1567,plain,
! [X10,X11,X8,X6,X9,X7,X14,X5,X12,X13] :
( rS(X5,X7,X8)
| ~ rline(X8)
| ~ rline(X9)
| ~ rline(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rpoint(X13)
| X5 != X13
| ~ rpoint(X14)
| X6 != X14
| ~ ron(X11,X8)
| ~ ron(X11,X9)
| ~ ron(X11,X10)
| ~ ron(X12,X8)
| ~ ron(X5,X9)
| ~ ron(X6,X10)
| ~ rS(X5,X6,X8)
| ~ rS(X12,X5,X10)
| ~ rS(X6,X7,X9)
| ~ rS(X5,X7,X10) ),
inference(equality_resolution,[],[f1566]) ).
fof(f1566,plain,
! [X10,X11,X8,X6,X9,X7,X14,X4,X5,X12,X13] :
( rS(X5,X7,X8)
| ~ rline(X8)
| ~ rline(X9)
| ~ rline(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| X4 != X12
| ~ rpoint(X13)
| X5 != X13
| ~ rpoint(X14)
| X6 != X14
| ~ ron(X11,X8)
| ~ ron(X11,X9)
| ~ ron(X11,X10)
| ~ ron(X4,X8)
| ~ ron(X5,X9)
| ~ ron(X6,X10)
| ~ rS(X5,X6,X8)
| ~ rS(X4,X5,X10)
| ~ rS(X6,X7,X9)
| ~ rS(X5,X7,X10) ),
inference(equality_resolution,[],[f1565]) ).
fof(f1565,plain,
! [X3,X10,X11,X8,X6,X9,X7,X14,X4,X5,X12,X13] :
( rS(X5,X7,X8)
| ~ rline(X8)
| ~ rline(X9)
| ~ rline(X10)
| ~ rpoint(X11)
| X3 != X11
| ~ rpoint(X12)
| X4 != X12
| ~ rpoint(X13)
| X5 != X13
| ~ rpoint(X14)
| X6 != X14
| ~ ron(X3,X8)
| ~ ron(X3,X9)
| ~ ron(X3,X10)
| ~ ron(X4,X8)
| ~ ron(X5,X9)
| ~ ron(X6,X10)
| ~ rS(X5,X6,X8)
| ~ rS(X4,X5,X10)
| ~ rS(X6,X7,X9)
| ~ rS(X5,X7,X10) ),
inference(equality_resolution,[],[f1564]) ).
fof(f1564,plain,
! [X2,X3,X10,X11,X8,X6,X9,X7,X14,X4,X5,X12,X13] :
( rS(X5,X7,X8)
| ~ rline(X8)
| ~ rline(X9)
| ~ rline(X10)
| X2 != X10
| ~ rpoint(X11)
| X3 != X11
| ~ rpoint(X12)
| X4 != X12
| ~ rpoint(X13)
| X5 != X13
| ~ rpoint(X14)
| X6 != X14
| ~ ron(X3,X8)
| ~ ron(X3,X9)
| ~ ron(X3,X2)
| ~ ron(X4,X8)
| ~ ron(X5,X9)
| ~ ron(X6,X2)
| ~ rS(X5,X6,X8)
| ~ rS(X4,X5,X2)
| ~ rS(X6,X7,X9)
| ~ rS(X5,X7,X2) ),
inference(equality_resolution,[],[f1563]) ).
fof(f1563,plain,
! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] :
( rS(X5,X7,X8)
| ~ rline(X8)
| ~ rline(X9)
| X1 != X9
| ~ rline(X10)
| X2 != X10
| ~ rpoint(X11)
| X3 != X11
| ~ rpoint(X12)
| X4 != X12
| ~ rpoint(X13)
| X5 != X13
| ~ rpoint(X14)
| X6 != X14
| ~ ron(X3,X8)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X8)
| ~ ron(X5,X1)
| ~ ron(X6,X2)
| ~ rS(X5,X6,X8)
| ~ rS(X4,X5,X2)
| ~ rS(X6,X7,X1)
| ~ rS(X5,X7,X2) ),
inference(equality_resolution,[],[f860]) ).
fof(f860,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] :
( rS(X5,X7,X0)
| ~ rline(X8)
| X0 != X8
| ~ rline(X9)
| X1 != X9
| ~ rline(X10)
| X2 != X10
| ~ rpoint(X11)
| X3 != X11
| ~ rpoint(X12)
| X4 != X12
| ~ rpoint(X13)
| X5 != X13
| ~ rpoint(X14)
| X6 != X14
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X0)
| ~ ron(X5,X1)
| ~ ron(X6,X2)
| ~ rS(X5,X6,X0)
| ~ rS(X4,X5,X2)
| ~ rS(X6,X7,X1)
| ~ rS(X5,X7,X2) ),
inference(cnf_transformation,[],[f452]) ).
fof(f452,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( rS(X5,X7,X0)
| ! [X8] :
( ~ rline(X8)
| X0 != X8 )
| ! [X9] :
( ~ rline(X9)
| X1 != X9 )
| ! [X10] :
( ~ rline(X10)
| X2 != X10 )
| ! [X11] :
( ~ rpoint(X11)
| X3 != X11 )
| ! [X12] :
( ~ rpoint(X12)
| X4 != X12 )
| ! [X13] :
( ~ rpoint(X13)
| X5 != X13 )
| ! [X14] :
( ~ rpoint(X14)
| X6 != X14 )
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X0)
| ~ ron(X5,X1)
| ~ ron(X6,X2)
| ~ rS(X5,X6,X0)
| ~ rS(X4,X5,X2)
| ~ rS(X6,X7,X1)
| ~ rS(X5,X7,X2) ),
inference(flattening,[],[f451]) ).
fof(f451,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( rS(X5,X7,X0)
| ! [X8] :
( ~ rline(X8)
| X0 != X8 )
| ! [X9] :
( ~ rline(X9)
| X1 != X9 )
| ! [X10] :
( ~ rline(X10)
| X2 != X10 )
| ! [X11] :
( ~ rpoint(X11)
| X3 != X11 )
| ! [X12] :
( ~ rpoint(X12)
| X4 != X12 )
| ! [X13] :
( ~ rpoint(X13)
| X5 != X13 )
| ! [X14] :
( ~ rpoint(X14)
| X6 != X14 )
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X0)
| ~ ron(X5,X1)
| ~ ron(X6,X2)
| ~ rS(X5,X6,X0)
| ~ rS(X4,X5,X2)
| ~ rS(X6,X7,X1)
| ~ rS(X5,X7,X2) ),
inference(ennf_transformation,[],[f235]) ).
fof(f235,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ? [X8] :
( rline(X8)
& X0 = X8 )
& ? [X9] :
( rline(X9)
& X1 = X9 )
& ? [X10] :
( rline(X10)
& X2 = X10 )
& ? [X11] :
( rpoint(X11)
& X3 = X11 )
& ? [X12] :
( rpoint(X12)
& X4 = X12 )
& ? [X13] :
( rpoint(X13)
& X5 = X13 )
& ? [X14] :
( rpoint(X14)
& X6 = X14 )
& ron(X3,X0)
& ron(X3,X1)
& ron(X3,X2)
& ron(X4,X0)
& ron(X5,X1)
& ron(X6,X2)
& rS(X5,X6,X0)
& rS(X4,X5,X2)
& rS(X6,X7,X1)
& rS(X5,X7,X2) )
=> rS(X5,X7,X0) ),
inference(rectify,[],[f76]) ).
fof(f76,axiom,
! [X403,X404,X405,X406,X407,X408,X409,X410] :
( ( ? [X417] :
( rline(X417)
& X403 = X417 )
& ? [X416] :
( rline(X416)
& X404 = X416 )
& ? [X415] :
( rline(X415)
& X405 = X415 )
& ? [X414] :
( rpoint(X414)
& X406 = X414 )
& ? [X413] :
( rpoint(X413)
& X407 = X413 )
& ? [X412] :
( rpoint(X412)
& X408 = X412 )
& ? [X411] :
( rpoint(X411)
& X409 = X411 )
& ron(X406,X403)
& ron(X406,X404)
& ron(X406,X405)
& ron(X407,X403)
& ron(X408,X404)
& ron(X409,X405)
& rS(X408,X409,X403)
& rS(X407,X408,X405)
& rS(X409,X410,X404)
& rS(X408,X410,X405) )
=> rS(X408,X410,X403) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(117), 0), imp(cond(axiom(117), 0)))') ).
fof(f5437,plain,
spl57_272,
inference(avatar_split_clause,[],[f1446,f5435]) ).
fof(f5435,plain,
( spl57_272
<=> ! [X10,X11,X13,X12,X9,X8,X7] :
( rS(X11,X12,X9)
| ~ rline(X7)
| ~ rline(X8)
| ~ rline(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rpoint(X13)
| ~ ron(X10,X7)
| ~ ron(X10,X8)
| ~ ron(X10,X9)
| ~ ron(X11,X7)
| ~ ron(X12,X8)
| ~ ron(X13,X9)
| ~ rS(X12,X13,X7)
| rS(X11,X13,X8)
| ron(X13,X8)
| X10 = X11 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_272])]) ).
fof(f1446,plain,
! [X10,X11,X8,X9,X7,X12,X13] :
( rS(X11,X12,X9)
| ~ rline(X7)
| ~ rline(X8)
| ~ rline(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rpoint(X13)
| ~ ron(X10,X7)
| ~ ron(X10,X8)
| ~ ron(X10,X9)
| ~ ron(X11,X7)
| ~ ron(X12,X8)
| ~ ron(X13,X9)
| ~ rS(X12,X13,X7)
| rS(X11,X13,X8)
| ron(X13,X8)
| X10 = X11 ),
inference(equality_resolution,[],[f1445]) ).
fof(f1445,plain,
! [X10,X11,X8,X6,X9,X7,X12,X13] :
( rS(X11,X12,X9)
| ~ rline(X7)
| ~ rline(X8)
| ~ rline(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rpoint(X13)
| X6 != X13
| ~ ron(X10,X7)
| ~ ron(X10,X8)
| ~ ron(X10,X9)
| ~ ron(X11,X7)
| ~ ron(X12,X8)
| ~ ron(X6,X9)
| ~ rS(X12,X6,X7)
| rS(X11,X6,X8)
| ron(X6,X8)
| X10 = X11 ),
inference(equality_resolution,[],[f1444]) ).
fof(f1444,plain,
! [X10,X11,X8,X6,X9,X7,X5,X12,X13] :
( rS(X11,X5,X9)
| ~ rline(X7)
| ~ rline(X8)
| ~ rline(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| X5 != X12
| ~ rpoint(X13)
| X6 != X13
| ~ ron(X10,X7)
| ~ ron(X10,X8)
| ~ ron(X10,X9)
| ~ ron(X11,X7)
| ~ ron(X5,X8)
| ~ ron(X6,X9)
| ~ rS(X5,X6,X7)
| rS(X11,X6,X8)
| ron(X6,X8)
| X10 = X11 ),
inference(equality_resolution,[],[f1443]) ).
fof(f1443,plain,
! [X10,X11,X8,X6,X9,X7,X4,X5,X12,X13] :
( rS(X4,X5,X9)
| ~ rline(X7)
| ~ rline(X8)
| ~ rline(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| X4 != X11
| ~ rpoint(X12)
| X5 != X12
| ~ rpoint(X13)
| X6 != X13
| ~ ron(X10,X7)
| ~ ron(X10,X8)
| ~ ron(X10,X9)
| ~ ron(X4,X7)
| ~ ron(X5,X8)
| ~ ron(X6,X9)
| ~ rS(X5,X6,X7)
| rS(X4,X6,X8)
| ron(X6,X8)
| X4 = X10 ),
inference(equality_resolution,[],[f1442]) ).
fof(f1442,plain,
! [X3,X10,X11,X8,X6,X9,X7,X4,X5,X12,X13] :
( rS(X4,X5,X9)
| ~ rline(X7)
| ~ rline(X8)
| ~ rline(X9)
| ~ rpoint(X10)
| X3 != X10
| ~ rpoint(X11)
| X4 != X11
| ~ rpoint(X12)
| X5 != X12
| ~ rpoint(X13)
| X6 != X13
| ~ ron(X3,X7)
| ~ ron(X3,X8)
| ~ ron(X3,X9)
| ~ ron(X4,X7)
| ~ ron(X5,X8)
| ~ ron(X6,X9)
| ~ rS(X5,X6,X7)
| rS(X4,X6,X8)
| ron(X6,X8)
| X3 = X4 ),
inference(equality_resolution,[],[f1441]) ).
fof(f1441,plain,
! [X2,X3,X10,X11,X8,X6,X9,X7,X4,X5,X12,X13] :
( rS(X4,X5,X2)
| ~ rline(X7)
| ~ rline(X8)
| ~ rline(X9)
| X2 != X9
| ~ rpoint(X10)
| X3 != X10
| ~ rpoint(X11)
| X4 != X11
| ~ rpoint(X12)
| X5 != X12
| ~ rpoint(X13)
| X6 != X13
| ~ ron(X3,X7)
| ~ ron(X3,X8)
| ~ ron(X3,X2)
| ~ ron(X4,X7)
| ~ ron(X5,X8)
| ~ ron(X6,X2)
| ~ rS(X5,X6,X7)
| rS(X4,X6,X8)
| ron(X6,X8)
| X3 = X4 ),
inference(equality_resolution,[],[f1440]) ).
fof(f1440,plain,
! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] :
( rS(X4,X5,X2)
| ~ rline(X7)
| ~ rline(X8)
| X1 != X8
| ~ rline(X9)
| X2 != X9
| ~ rpoint(X10)
| X3 != X10
| ~ rpoint(X11)
| X4 != X11
| ~ rpoint(X12)
| X5 != X12
| ~ rpoint(X13)
| X6 != X13
| ~ ron(X3,X7)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X7)
| ~ ron(X5,X1)
| ~ ron(X6,X2)
| ~ rS(X5,X6,X7)
| rS(X4,X6,X1)
| ron(X6,X1)
| X3 = X4 ),
inference(equality_resolution,[],[f826]) ).
fof(f826,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] :
( rS(X4,X5,X2)
| ~ rline(X7)
| X0 != X7
| ~ rline(X8)
| X1 != X8
| ~ rline(X9)
| X2 != X9
| ~ rpoint(X10)
| X3 != X10
| ~ rpoint(X11)
| X4 != X11
| ~ rpoint(X12)
| X5 != X12
| ~ rpoint(X13)
| X6 != X13
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X0)
| ~ ron(X5,X1)
| ~ ron(X6,X2)
| ~ rS(X5,X6,X0)
| rS(X4,X6,X1)
| ron(X6,X1)
| X3 = X4 ),
inference(cnf_transformation,[],[f428]) ).
fof(f428,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( rS(X4,X5,X2)
| ! [X7] :
( ~ rline(X7)
| X0 != X7 )
| ! [X8] :
( ~ rline(X8)
| X1 != X8 )
| ! [X9] :
( ~ rline(X9)
| X2 != X9 )
| ! [X10] :
( ~ rpoint(X10)
| X3 != X10 )
| ! [X11] :
( ~ rpoint(X11)
| X4 != X11 )
| ! [X12] :
( ~ rpoint(X12)
| X5 != X12 )
| ! [X13] :
( ~ rpoint(X13)
| X6 != X13 )
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X0)
| ~ ron(X5,X1)
| ~ ron(X6,X2)
| ~ rS(X5,X6,X0)
| rS(X4,X6,X1)
| ron(X6,X1)
| X3 = X4 ),
inference(flattening,[],[f427]) ).
fof(f427,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( rS(X4,X5,X2)
| ! [X7] :
( ~ rline(X7)
| X0 != X7 )
| ! [X8] :
( ~ rline(X8)
| X1 != X8 )
| ! [X9] :
( ~ rline(X9)
| X2 != X9 )
| ! [X10] :
( ~ rpoint(X10)
| X3 != X10 )
| ! [X11] :
( ~ rpoint(X11)
| X4 != X11 )
| ! [X12] :
( ~ rpoint(X12)
| X5 != X12 )
| ! [X13] :
( ~ rpoint(X13)
| X6 != X13 )
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X0)
| ~ ron(X5,X1)
| ~ ron(X6,X2)
| ~ rS(X5,X6,X0)
| rS(X4,X6,X1)
| ron(X6,X1)
| X3 = X4 ),
inference(ennf_transformation,[],[f223]) ).
fof(f223,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ? [X7] :
( rline(X7)
& X0 = X7 )
& ? [X8] :
( rline(X8)
& X1 = X8 )
& ? [X9] :
( rline(X9)
& X2 = X9 )
& ? [X10] :
( rpoint(X10)
& X3 = X10 )
& ? [X11] :
( rpoint(X11)
& X4 = X11 )
& ? [X12] :
( rpoint(X12)
& X5 = X12 )
& ? [X13] :
( rpoint(X13)
& X6 = X13 )
& ron(X3,X0)
& ron(X3,X1)
& ron(X3,X2)
& ron(X4,X0)
& ron(X5,X1)
& ron(X6,X2)
& rS(X5,X6,X0)
& ~ rS(X4,X6,X1)
& ~ ron(X6,X1)
& X3 != X4 )
=> rS(X4,X5,X2) ),
inference(rectify,[],[f77]) ).
fof(f77,axiom,
! [X418,X419,X420,X421,X422,X423,X424] :
( ( ? [X431] :
( rline(X431)
& X418 = X431 )
& ? [X430] :
( rline(X430)
& X419 = X430 )
& ? [X429] :
( rline(X429)
& X420 = X429 )
& ? [X428] :
( rpoint(X428)
& X421 = X428 )
& ? [X427] :
( rpoint(X427)
& X422 = X427 )
& ? [X426] :
( rpoint(X426)
& X423 = X426 )
& ? [X425] :
( rpoint(X425)
& X424 = X425 )
& ron(X421,X418)
& ron(X421,X419)
& ron(X421,X420)
& ron(X422,X418)
& ron(X423,X419)
& ron(X424,X420)
& rS(X423,X424,X418)
& ~ rS(X422,X424,X419)
& ~ ron(X424,X419)
& X421 != X422 )
=> rS(X422,X423,X420) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(115), 0), imp(cond(axiom(115), 0)))') ).
fof(f5377,plain,
spl57_271,
inference(avatar_split_clause,[],[f1275,f5375]) ).
fof(f5375,plain,
( spl57_271
<=> ! [X5,X9,X7,X6,X8] :
( vg(X6,X9,X7) = vplus(vg(X6,X8,X9),vg(X9,X8,X7))
| ~ rR(X8,X6,X7)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X6 = X7
| X6 = X8
| X6 = X9
| X7 = X8
| X7 = X9
| X8 = X9
| ~ rline(X5)
| ron(X9,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_271])]) ).
fof(f1275,plain,
! [X8,X6,X9,X7,X5] :
( vg(X6,X9,X7) = vplus(vg(X6,X8,X9),vg(X9,X8,X7))
| ~ rR(X8,X6,X7)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X6 = X7
| X6 = X8
| X6 = X9
| X7 = X8
| X7 = X9
| X8 = X9
| ~ rline(X5)
| ron(X9,X5) ),
inference(equality_resolution,[],[f1274]) ).
fof(f1274,plain,
! [X8,X6,X9,X7,X4,X5] :
( vg(X6,X9,X7) = vplus(vg(X6,X8,X9),vg(X9,X8,X7))
| ~ rR(X8,X6,X7)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X6 = X7
| X6 = X8
| X6 = X9
| X7 = X8
| X7 = X9
| X8 = X9
| ~ rline(X5)
| X4 != X5
| ron(X9,X4) ),
inference(equality_resolution,[],[f1273]) ).
fof(f1273,plain,
! [X3,X8,X6,X9,X7,X4,X5] :
( vg(X6,X3,X7) = vplus(vg(X6,X8,X3),vg(X3,X8,X7))
| ~ rR(X8,X6,X7)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X3 != X9
| X6 = X7
| X6 = X8
| X3 = X6
| X7 = X8
| X3 = X7
| X3 = X8
| ~ rline(X5)
| X4 != X5
| ron(X3,X4) ),
inference(equality_resolution,[],[f1272]) ).
fof(f1272,plain,
! [X2,X3,X8,X6,X9,X7,X4,X5] :
( vplus(vg(X6,X2,X3),vg(X3,X2,X7)) = vg(X6,X3,X7)
| ~ rR(X2,X6,X7)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X2 != X8
| ~ rpoint(X9)
| X3 != X9
| X6 = X7
| X2 = X6
| X3 = X6
| X2 = X7
| X3 = X7
| X2 = X3
| ~ rline(X5)
| X4 != X5
| ron(X3,X4) ),
inference(equality_resolution,[],[f1271]) ).
fof(f1271,plain,
! [X2,X3,X1,X8,X6,X9,X7,X4,X5] :
( vplus(vg(X6,X2,X3),vg(X3,X2,X1)) = vg(X6,X3,X1)
| ~ rR(X2,X6,X1)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X1 != X7
| ~ rpoint(X8)
| X2 != X8
| ~ rpoint(X9)
| X3 != X9
| X1 = X6
| X2 = X6
| X3 = X6
| X1 = X2
| X1 = X3
| X2 = X3
| ~ rline(X5)
| X4 != X5
| ron(X3,X4) ),
inference(equality_resolution,[],[f787]) ).
fof(f787,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( vplus(vg(X0,X2,X3),vg(X3,X2,X1)) = vg(X0,X3,X1)
| ~ rR(X2,X0,X1)
| ~ rpoint(X6)
| X0 != X6
| ~ rpoint(X7)
| X1 != X7
| ~ rpoint(X8)
| X2 != X8
| ~ rpoint(X9)
| X3 != X9
| X0 = X1
| X0 = X2
| X0 = X3
| X1 = X2
| X1 = X3
| X2 = X3
| ~ rline(X5)
| X4 != X5
| ron(X3,X4) ),
inference(cnf_transformation,[],[f565]) ).
fof(f565,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ( rR(X2,X0,X1)
| vplus(vg(X0,X2,X3),vg(X3,X2,X1)) != vg(X0,X3,X1) )
& ( vplus(vg(X0,X2,X3),vg(X3,X2,X1)) = vg(X0,X3,X1)
| ~ rR(X2,X0,X1) ) )
| ! [X6] :
( ~ rpoint(X6)
| X0 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X1 != X7 )
| ! [X8] :
( ~ rpoint(X8)
| X2 != X8 )
| ! [X9] :
( ~ rpoint(X9)
| X3 != X9 )
| X0 = X1
| X0 = X2
| X0 = X3
| X1 = X2
| X1 = X3
| X2 = X3
| ~ rline(X5)
| X4 != X5
| ron(X3,X4) ),
inference(nnf_transformation,[],[f396]) ).
fof(f396,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( rR(X2,X0,X1)
<=> vplus(vg(X0,X2,X3),vg(X3,X2,X1)) = vg(X0,X3,X1) )
| ! [X6] :
( ~ rpoint(X6)
| X0 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X1 != X7 )
| ! [X8] :
( ~ rpoint(X8)
| X2 != X8 )
| ! [X9] :
( ~ rpoint(X9)
| X3 != X9 )
| X0 = X1
| X0 = X2
| X0 = X3
| X1 = X2
| X1 = X3
| X2 = X3
| ~ rline(X5)
| X4 != X5
| ron(X3,X4) ),
inference(flattening,[],[f395]) ).
fof(f395,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( rR(X2,X0,X1)
<=> vplus(vg(X0,X2,X3),vg(X3,X2,X1)) = vg(X0,X3,X1) )
| ! [X6] :
( ~ rpoint(X6)
| X0 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X1 != X7 )
| ! [X8] :
( ~ rpoint(X8)
| X2 != X8 )
| ! [X9] :
( ~ rpoint(X9)
| X3 != X9 )
| X0 = X1
| X0 = X2
| X0 = X3
| X1 = X2
| X1 = X3
| X2 = X3
| ~ rline(X5)
| X4 != X5
| ron(X3,X4) ),
inference(ennf_transformation,[],[f206]) ).
fof(f206,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ? [X6] :
( rpoint(X6)
& X0 = X6 )
& ? [X7] :
( rpoint(X7)
& X1 = X7 )
& ? [X8] :
( rpoint(X8)
& X2 = X8 )
& ? [X9] :
( rpoint(X9)
& X3 = X9 )
& X0 != X1
& X0 != X2
& X0 != X3
& X1 != X2
& X1 != X3
& X2 != X3
& rline(X5)
& X4 = X5
& ~ ron(X3,X4) )
=> ( rR(X2,X0,X1)
<=> vplus(vg(X0,X2,X3),vg(X3,X2,X1)) = vg(X0,X3,X1) ) ),
inference(rectify,[],[f62]) ).
fof(f62,axiom,
! [X298,X299,X300,X301,X302,X303] :
( ( ? [X307] :
( rpoint(X307)
& X298 = X307 )
& ? [X306] :
( rpoint(X306)
& X299 = X306 )
& ? [X305] :
( rpoint(X305)
& X300 = X305 )
& ? [X304] :
( rpoint(X304)
& X301 = X304 )
& X298 != X299
& X298 != X300
& X298 != X301
& X299 != X300
& X299 != X301
& X300 != X301
& rline(X303)
& X302 = X303
& ~ ron(X301,X302) )
=> ( rR(X300,X298,X299)
<=> vplus(vg(X298,X300,X301),vg(X301,X300,X299)) = vg(X298,X301,X299) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(202), 0), imp(cond(axiom(202), 0)))') ).
fof(f5373,plain,
spl57_270,
inference(avatar_split_clause,[],[f1270,f5371]) ).
fof(f5371,plain,
( spl57_270
<=> ! [X5,X9,X7,X6,X8] :
( rR(X8,X6,X7)
| vg(X6,X9,X7) != vplus(vg(X6,X8,X9),vg(X9,X8,X7))
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X6 = X7
| X6 = X8
| X6 = X9
| X7 = X8
| X7 = X9
| X8 = X9
| ~ rline(X5)
| ron(X9,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_270])]) ).
fof(f1270,plain,
! [X8,X6,X9,X7,X5] :
( rR(X8,X6,X7)
| vg(X6,X9,X7) != vplus(vg(X6,X8,X9),vg(X9,X8,X7))
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X6 = X7
| X6 = X8
| X6 = X9
| X7 = X8
| X7 = X9
| X8 = X9
| ~ rline(X5)
| ron(X9,X5) ),
inference(equality_resolution,[],[f1269]) ).
fof(f1269,plain,
! [X8,X6,X9,X7,X4,X5] :
( rR(X8,X6,X7)
| vg(X6,X9,X7) != vplus(vg(X6,X8,X9),vg(X9,X8,X7))
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X6 = X7
| X6 = X8
| X6 = X9
| X7 = X8
| X7 = X9
| X8 = X9
| ~ rline(X5)
| X4 != X5
| ron(X9,X4) ),
inference(equality_resolution,[],[f1268]) ).
fof(f1268,plain,
! [X3,X8,X6,X9,X7,X4,X5] :
( rR(X8,X6,X7)
| vg(X6,X3,X7) != vplus(vg(X6,X8,X3),vg(X3,X8,X7))
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X3 != X9
| X6 = X7
| X6 = X8
| X3 = X6
| X7 = X8
| X3 = X7
| X3 = X8
| ~ rline(X5)
| X4 != X5
| ron(X3,X4) ),
inference(equality_resolution,[],[f1267]) ).
fof(f1267,plain,
! [X2,X3,X8,X6,X9,X7,X4,X5] :
( rR(X2,X6,X7)
| vplus(vg(X6,X2,X3),vg(X3,X2,X7)) != vg(X6,X3,X7)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X2 != X8
| ~ rpoint(X9)
| X3 != X9
| X6 = X7
| X2 = X6
| X3 = X6
| X2 = X7
| X3 = X7
| X2 = X3
| ~ rline(X5)
| X4 != X5
| ron(X3,X4) ),
inference(equality_resolution,[],[f1266]) ).
fof(f1266,plain,
! [X2,X3,X1,X8,X6,X9,X7,X4,X5] :
( rR(X2,X6,X1)
| vplus(vg(X6,X2,X3),vg(X3,X2,X1)) != vg(X6,X3,X1)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X1 != X7
| ~ rpoint(X8)
| X2 != X8
| ~ rpoint(X9)
| X3 != X9
| X1 = X6
| X2 = X6
| X3 = X6
| X1 = X2
| X1 = X3
| X2 = X3
| ~ rline(X5)
| X4 != X5
| ron(X3,X4) ),
inference(equality_resolution,[],[f788]) ).
fof(f788,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( rR(X2,X0,X1)
| vplus(vg(X0,X2,X3),vg(X3,X2,X1)) != vg(X0,X3,X1)
| ~ rpoint(X6)
| X0 != X6
| ~ rpoint(X7)
| X1 != X7
| ~ rpoint(X8)
| X2 != X8
| ~ rpoint(X9)
| X3 != X9
| X0 = X1
| X0 = X2
| X0 = X3
| X1 = X2
| X1 = X3
| X2 = X3
| ~ rline(X5)
| X4 != X5
| ron(X3,X4) ),
inference(cnf_transformation,[],[f565]) ).
fof(f5354,plain,
spl57_269,
inference(avatar_split_clause,[],[f1562,f5352]) ).
fof(f5352,plain,
( spl57_269
<=> ! [X5,X4,X9,X11,X10,X8,X7] :
( ~ rS(X10,X11,X7)
| ~ rcircle(X8)
| ~ rcircle(X9)
| X8 = X9
| ~ rintersect(X8,X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ ron(X10,X8)
| ~ ron(X10,X9)
| ~ ron(X11,X8)
| ~ ron(X11,X9)
| X10 = X11
| ~ rcenter(X4,X8)
| ~ rcenter(X5,X9)
| ~ rline(X7)
| ~ ron(X4,X7)
| ~ ron(X5,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_269])]) ).
fof(f1562,plain,
! [X10,X11,X8,X9,X7,X4,X5] :
( ~ rS(X10,X11,X7)
| ~ rcircle(X8)
| ~ rcircle(X9)
| X8 = X9
| ~ rintersect(X8,X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ ron(X10,X8)
| ~ ron(X10,X9)
| ~ ron(X11,X8)
| ~ ron(X11,X9)
| X10 = X11
| ~ rcenter(X4,X8)
| ~ rcenter(X5,X9)
| ~ rline(X7)
| ~ ron(X4,X7)
| ~ ron(X5,X7) ),
inference(equality_resolution,[],[f1561]) ).
fof(f1561,plain,
! [X10,X11,X8,X6,X9,X7,X4,X5] :
( ~ rS(X10,X11,X6)
| ~ rcircle(X8)
| ~ rcircle(X9)
| X8 = X9
| ~ rintersect(X8,X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ ron(X10,X8)
| ~ ron(X10,X9)
| ~ ron(X11,X8)
| ~ ron(X11,X9)
| X10 = X11
| ~ rcenter(X4,X8)
| ~ rcenter(X5,X9)
| ~ rline(X7)
| X6 != X7
| ~ ron(X4,X6)
| ~ ron(X5,X6) ),
inference(equality_resolution,[],[f1560]) ).
fof(f1560,plain,
! [X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( ~ rS(X10,X3,X6)
| ~ rcircle(X8)
| ~ rcircle(X9)
| X8 = X9
| ~ rintersect(X8,X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| X3 != X11
| ~ ron(X10,X8)
| ~ ron(X10,X9)
| ~ ron(X3,X8)
| ~ ron(X3,X9)
| X3 = X10
| ~ rcenter(X4,X8)
| ~ rcenter(X5,X9)
| ~ rline(X7)
| X6 != X7
| ~ ron(X4,X6)
| ~ ron(X5,X6) ),
inference(equality_resolution,[],[f1559]) ).
fof(f1559,plain,
! [X2,X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( ~ rS(X2,X3,X6)
| ~ rcircle(X8)
| ~ rcircle(X9)
| X8 = X9
| ~ rintersect(X8,X9)
| ~ rpoint(X10)
| X2 != X10
| ~ rpoint(X11)
| X3 != X11
| ~ ron(X2,X8)
| ~ ron(X2,X9)
| ~ ron(X3,X8)
| ~ ron(X3,X9)
| X2 = X3
| ~ rcenter(X4,X8)
| ~ rcenter(X5,X9)
| ~ rline(X7)
| X6 != X7
| ~ ron(X4,X6)
| ~ ron(X5,X6) ),
inference(equality_resolution,[],[f1558]) ).
fof(f1558,plain,
! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ rS(X2,X3,X6)
| ~ rcircle(X8)
| ~ rcircle(X9)
| X1 != X9
| X1 = X8
| ~ rintersect(X8,X1)
| ~ rpoint(X10)
| X2 != X10
| ~ rpoint(X11)
| X3 != X11
| ~ ron(X2,X8)
| ~ ron(X2,X1)
| ~ ron(X3,X8)
| ~ ron(X3,X1)
| X2 = X3
| ~ rcenter(X4,X8)
| ~ rcenter(X5,X1)
| ~ rline(X7)
| X6 != X7
| ~ ron(X4,X6)
| ~ ron(X5,X6) ),
inference(equality_resolution,[],[f859]) ).
fof(f859,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ rS(X2,X3,X6)
| ~ rcircle(X8)
| X0 != X8
| ~ rcircle(X9)
| X1 != X9
| X0 = X1
| ~ rintersect(X0,X1)
| ~ rpoint(X10)
| X2 != X10
| ~ rpoint(X11)
| X3 != X11
| ~ ron(X2,X0)
| ~ ron(X2,X1)
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| X2 = X3
| ~ rcenter(X4,X0)
| ~ rcenter(X5,X1)
| ~ rline(X7)
| X6 != X7
| ~ ron(X4,X6)
| ~ ron(X5,X6) ),
inference(cnf_transformation,[],[f450]) ).
fof(f450,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ rS(X2,X3,X6)
| ! [X8] :
( ~ rcircle(X8)
| X0 != X8 )
| ! [X9] :
( ~ rcircle(X9)
| X1 != X9 )
| X0 = X1
| ~ rintersect(X0,X1)
| ! [X10] :
( ~ rpoint(X10)
| X2 != X10 )
| ! [X11] :
( ~ rpoint(X11)
| X3 != X11 )
| ~ ron(X2,X0)
| ~ ron(X2,X1)
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| X2 = X3
| ~ rcenter(X4,X0)
| ~ rcenter(X5,X1)
| ~ rline(X7)
| X6 != X7
| ~ ron(X4,X6)
| ~ ron(X5,X6) ),
inference(flattening,[],[f449]) ).
fof(f449,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ rS(X2,X3,X6)
| ! [X8] :
( ~ rcircle(X8)
| X0 != X8 )
| ! [X9] :
( ~ rcircle(X9)
| X1 != X9 )
| X0 = X1
| ~ rintersect(X0,X1)
| ! [X10] :
( ~ rpoint(X10)
| X2 != X10 )
| ! [X11] :
( ~ rpoint(X11)
| X3 != X11 )
| ~ ron(X2,X0)
| ~ ron(X2,X1)
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| X2 = X3
| ~ rcenter(X4,X0)
| ~ rcenter(X5,X1)
| ~ rline(X7)
| X6 != X7
| ~ ron(X4,X6)
| ~ ron(X5,X6) ),
inference(ennf_transformation,[],[f234]) ).
fof(f234,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ? [X8] :
( rcircle(X8)
& X0 = X8 )
& ? [X9] :
( rcircle(X9)
& X1 = X9 )
& X0 != X1
& rintersect(X0,X1)
& ? [X10] :
( rpoint(X10)
& X2 = X10 )
& ? [X11] :
( rpoint(X11)
& X3 = X11 )
& ron(X2,X0)
& ron(X2,X1)
& ron(X3,X0)
& ron(X3,X1)
& X2 != X3
& rcenter(X4,X0)
& rcenter(X5,X1)
& rline(X7)
& X6 = X7
& ron(X4,X6)
& ron(X5,X6) )
=> ~ rS(X2,X3,X6) ),
inference(rectify,[],[f72]) ).
fof(f72,axiom,
! [X363,X364,X365,X366,X367,X368,X369,X370] :
( ( ? [X374] :
( rcircle(X374)
& X363 = X374 )
& ? [X373] :
( rcircle(X373)
& X364 = X373 )
& X363 != X364
& rintersect(X363,X364)
& ? [X372] :
( rpoint(X372)
& X365 = X372 )
& ? [X371] :
( rpoint(X371)
& X366 = X371 )
& ron(X365,X363)
& ron(X365,X364)
& ron(X366,X363)
& ron(X366,X364)
& X365 != X366
& rcenter(X367,X363)
& rcenter(X368,X364)
& rline(X370)
& X369 = X370
& ron(X367,X369)
& ron(X368,X369) )
=> ~ rS(X365,X366,X369) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(125), 0), imp(cond(axiom(125), 0)))') ).
fof(f5335,plain,
spl57_268,
inference(avatar_split_clause,[],[f1509,f5333]) ).
fof(f1509,plain,
! [X10,X11,X8,X9,X7,X12,X13] :
( ~ rS(X11,X13,X8)
| ~ rline(X7)
| ~ rline(X8)
| ~ rline(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rpoint(X13)
| ~ ron(X10,X7)
| ~ ron(X10,X8)
| ~ ron(X10,X9)
| ~ ron(X11,X7)
| ~ ron(X12,X9)
| ~ ron(X13,X9)
| ~ rS(X12,X13,X7)
| ~ rS(X11,X12,X9) ),
inference(equality_resolution,[],[f1508]) ).
fof(f1508,plain,
! [X10,X11,X8,X6,X9,X7,X12,X13] :
( ~ rS(X11,X6,X8)
| ~ rline(X7)
| ~ rline(X8)
| ~ rline(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rpoint(X13)
| X6 != X13
| ~ ron(X10,X7)
| ~ ron(X10,X8)
| ~ ron(X10,X9)
| ~ ron(X11,X7)
| ~ ron(X12,X9)
| ~ ron(X6,X9)
| ~ rS(X12,X6,X7)
| ~ rS(X11,X12,X9) ),
inference(equality_resolution,[],[f1507]) ).
fof(f1507,plain,
! [X10,X11,X8,X6,X9,X7,X5,X12,X13] :
( ~ rS(X11,X6,X8)
| ~ rline(X7)
| ~ rline(X8)
| ~ rline(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| X5 != X12
| ~ rpoint(X13)
| X6 != X13
| ~ ron(X10,X7)
| ~ ron(X10,X8)
| ~ ron(X10,X9)
| ~ ron(X11,X7)
| ~ ron(X5,X9)
| ~ ron(X6,X9)
| ~ rS(X5,X6,X7)
| ~ rS(X11,X5,X9) ),
inference(equality_resolution,[],[f1506]) ).
fof(f1506,plain,
! [X10,X11,X8,X6,X9,X7,X4,X5,X12,X13] :
( ~ rS(X4,X6,X8)
| ~ rline(X7)
| ~ rline(X8)
| ~ rline(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| X4 != X11
| ~ rpoint(X12)
| X5 != X12
| ~ rpoint(X13)
| X6 != X13
| ~ ron(X10,X7)
| ~ ron(X10,X8)
| ~ ron(X10,X9)
| ~ ron(X4,X7)
| ~ ron(X5,X9)
| ~ ron(X6,X9)
| ~ rS(X5,X6,X7)
| ~ rS(X4,X5,X9) ),
inference(equality_resolution,[],[f1505]) ).
fof(f1505,plain,
! [X3,X10,X11,X8,X6,X9,X7,X4,X5,X12,X13] :
( ~ rS(X4,X6,X8)
| ~ rline(X7)
| ~ rline(X8)
| ~ rline(X9)
| ~ rpoint(X10)
| X3 != X10
| ~ rpoint(X11)
| X4 != X11
| ~ rpoint(X12)
| X5 != X12
| ~ rpoint(X13)
| X6 != X13
| ~ ron(X3,X7)
| ~ ron(X3,X8)
| ~ ron(X3,X9)
| ~ ron(X4,X7)
| ~ ron(X5,X9)
| ~ ron(X6,X9)
| ~ rS(X5,X6,X7)
| ~ rS(X4,X5,X9) ),
inference(equality_resolution,[],[f1504]) ).
fof(f1504,plain,
! [X2,X3,X10,X11,X8,X6,X9,X7,X4,X5,X12,X13] :
( ~ rS(X4,X6,X8)
| ~ rline(X7)
| ~ rline(X8)
| ~ rline(X9)
| X2 != X9
| ~ rpoint(X10)
| X3 != X10
| ~ rpoint(X11)
| X4 != X11
| ~ rpoint(X12)
| X5 != X12
| ~ rpoint(X13)
| X6 != X13
| ~ ron(X3,X7)
| ~ ron(X3,X8)
| ~ ron(X3,X2)
| ~ ron(X4,X7)
| ~ ron(X5,X2)
| ~ ron(X6,X2)
| ~ rS(X5,X6,X7)
| ~ rS(X4,X5,X2) ),
inference(equality_resolution,[],[f1503]) ).
fof(f1503,plain,
! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] :
( ~ rS(X4,X6,X1)
| ~ rline(X7)
| ~ rline(X8)
| X1 != X8
| ~ rline(X9)
| X2 != X9
| ~ rpoint(X10)
| X3 != X10
| ~ rpoint(X11)
| X4 != X11
| ~ rpoint(X12)
| X5 != X12
| ~ rpoint(X13)
| X6 != X13
| ~ ron(X3,X7)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X7)
| ~ ron(X5,X2)
| ~ ron(X6,X2)
| ~ rS(X5,X6,X7)
| ~ rS(X4,X5,X2) ),
inference(equality_resolution,[],[f841]) ).
fof(f841,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] :
( ~ rS(X4,X6,X1)
| ~ rline(X7)
| X0 != X7
| ~ rline(X8)
| X1 != X8
| ~ rline(X9)
| X2 != X9
| ~ rpoint(X10)
| X3 != X10
| ~ rpoint(X11)
| X4 != X11
| ~ rpoint(X12)
| X5 != X12
| ~ rpoint(X13)
| X6 != X13
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X0)
| ~ ron(X5,X2)
| ~ ron(X6,X2)
| ~ rS(X5,X6,X0)
| ~ rS(X4,X5,X2) ),
inference(cnf_transformation,[],[f440]) ).
fof(f440,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ rS(X4,X6,X1)
| ! [X7] :
( ~ rline(X7)
| X0 != X7 )
| ! [X8] :
( ~ rline(X8)
| X1 != X8 )
| ! [X9] :
( ~ rline(X9)
| X2 != X9 )
| ! [X10] :
( ~ rpoint(X10)
| X3 != X10 )
| ! [X11] :
( ~ rpoint(X11)
| X4 != X11 )
| ! [X12] :
( ~ rpoint(X12)
| X5 != X12 )
| ! [X13] :
( ~ rpoint(X13)
| X6 != X13 )
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X0)
| ~ ron(X5,X2)
| ~ ron(X6,X2)
| ~ rS(X5,X6,X0)
| ~ rS(X4,X5,X2) ),
inference(flattening,[],[f439]) ).
fof(f439,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ rS(X4,X6,X1)
| ! [X7] :
( ~ rline(X7)
| X0 != X7 )
| ! [X8] :
( ~ rline(X8)
| X1 != X8 )
| ! [X9] :
( ~ rline(X9)
| X2 != X9 )
| ! [X10] :
( ~ rpoint(X10)
| X3 != X10 )
| ! [X11] :
( ~ rpoint(X11)
| X4 != X11 )
| ! [X12] :
( ~ rpoint(X12)
| X5 != X12 )
| ! [X13] :
( ~ rpoint(X13)
| X6 != X13 )
| ~ ron(X3,X0)
| ~ ron(X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X0)
| ~ ron(X5,X2)
| ~ ron(X6,X2)
| ~ rS(X5,X6,X0)
| ~ rS(X4,X5,X2) ),
inference(ennf_transformation,[],[f229]) ).
fof(f229,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ? [X7] :
( rline(X7)
& X0 = X7 )
& ? [X8] :
( rline(X8)
& X1 = X8 )
& ? [X9] :
( rline(X9)
& X2 = X9 )
& ? [X10] :
( rpoint(X10)
& X3 = X10 )
& ? [X11] :
( rpoint(X11)
& X4 = X11 )
& ? [X12] :
( rpoint(X12)
& X5 = X12 )
& ? [X13] :
( rpoint(X13)
& X6 = X13 )
& ron(X3,X0)
& ron(X3,X1)
& ron(X3,X2)
& ron(X4,X0)
& ron(X5,X2)
& ron(X6,X2)
& rS(X5,X6,X0)
& rS(X4,X5,X2) )
=> ~ rS(X4,X6,X1) ),
inference(rectify,[],[f78]) ).
fof(f78,axiom,
! [X432,X433,X434,X435,X436,X437,X438] :
( ( ? [X445] :
( rline(X445)
& X432 = X445 )
& ? [X444] :
( rline(X444)
& X433 = X444 )
& ? [X443] :
( rline(X443)
& X434 = X443 )
& ? [X442] :
( rpoint(X442)
& X435 = X442 )
& ? [X441] :
( rpoint(X441)
& X436 = X441 )
& ? [X440] :
( rpoint(X440)
& X437 = X440 )
& ? [X439] :
( rpoint(X439)
& X438 = X439 )
& ron(X435,X432)
& ron(X435,X433)
& ron(X435,X434)
& ron(X436,X432)
& ron(X437,X434)
& ron(X438,X434)
& rS(X437,X438,X432)
& rS(X436,X437,X434) )
=> ~ rS(X436,X438,X433) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(113), 0), imp(cond(axiom(113), 0)))') ).
fof(f5283,plain,
spl57_267,
inference(avatar_split_clause,[],[f986,f5281]) ).
fof(f5281,plain,
( spl57_267
<=> ! [X6,X4,X7,X9,X8] :
( vangle(X7,X8,X9) = vangle(X7,X9,X8)
| ~ rpoint(X4)
| ~ rR(X8,X7,X4)
| ~ rpoint(X6)
| ~ rR(X9,X7,X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X7 = X8
| X7 = X9
| X8 = X9
| vf(X7,X8) != vf(X7,X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_267])]) ).
fof(f986,plain,
! [X8,X6,X9,X7,X4] :
( vangle(X7,X8,X9) = vangle(X7,X9,X8)
| ~ rpoint(X4)
| ~ rR(X8,X7,X4)
| ~ rpoint(X6)
| ~ rR(X9,X7,X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X7 = X8
| X7 = X9
| X8 = X9
| vf(X7,X8) != vf(X7,X9) ),
inference(equality_resolution,[],[f985]) ).
fof(f985,plain,
! [X2,X8,X6,X9,X7,X4] :
( vangle(X7,X8,X2) = vangle(X7,X2,X8)
| ~ rpoint(X4)
| ~ rR(X8,X7,X4)
| ~ rpoint(X6)
| ~ rR(X2,X7,X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X2 != X9
| X7 = X8
| X2 = X7
| X2 = X8
| vf(X7,X2) != vf(X7,X8) ),
inference(equality_resolution,[],[f984]) ).
fof(f984,plain,
! [X2,X1,X8,X6,X9,X7,X4] :
( vangle(X7,X1,X2) = vangle(X7,X2,X1)
| ~ rpoint(X4)
| ~ rR(X1,X7,X4)
| ~ rpoint(X6)
| ~ rR(X2,X7,X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X1 != X8
| ~ rpoint(X9)
| X2 != X9
| X1 = X7
| X2 = X7
| X1 = X2
| vf(X7,X1) != vf(X7,X2) ),
inference(equality_resolution,[],[f983]) ).
fof(f983,plain,
! [X2,X0,X1,X8,X6,X9,X7,X4] :
( vangle(X0,X1,X2) = vangle(X0,X2,X1)
| ~ rpoint(X4)
| ~ rR(X1,X0,X4)
| ~ rpoint(X6)
| ~ rR(X2,X0,X6)
| ~ rpoint(X7)
| X0 != X7
| ~ rpoint(X8)
| X1 != X8
| ~ rpoint(X9)
| X2 != X9
| X0 = X1
| X0 = X2
| X1 = X2
| vf(X0,X1) != vf(X0,X2) ),
inference(equality_resolution,[],[f982]) ).
fof(f982,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4] :
( vangle(X0,X1,X2) = vangle(X0,X2,X1)
| ~ rpoint(X4)
| ~ rR(X1,X0,X3)
| ~ rpoint(X6)
| ~ rR(X2,X0,X6)
| X3 != X4
| ~ rpoint(X7)
| X0 != X7
| ~ rpoint(X8)
| X1 != X8
| ~ rpoint(X9)
| X2 != X9
| X0 = X1
| X0 = X2
| X1 = X2
| vf(X0,X1) != vf(X0,X2) ),
inference(equality_resolution,[],[f683]) ).
fof(f683,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( vangle(X0,X1,X2) = vangle(X0,X2,X1)
| ~ rpoint(X4)
| ~ rR(X1,X0,X3)
| ~ rpoint(X6)
| ~ rR(X2,X0,X5)
| X5 != X6
| X3 != X4
| ~ rpoint(X7)
| X0 != X7
| ~ rpoint(X8)
| X1 != X8
| ~ rpoint(X9)
| X2 != X9
| X0 = X1
| X0 = X2
| X1 = X2
| vf(X0,X1) != vf(X0,X2) ),
inference(cnf_transformation,[],[f511]) ).
fof(f511,plain,
! [X0,X1,X2] :
( ! [X3,X4,X5,X6] :
( vangle(X0,X1,X2) = vangle(X0,X2,X1)
| ~ rpoint(X4)
| ~ rR(X1,X0,X3)
| ~ rpoint(X6)
| ~ rR(X2,X0,X5)
| X5 != X6
| X3 != X4 )
| ! [X7] :
( ~ rpoint(X7)
| X0 != X7 )
| ! [X8] :
( ~ rpoint(X8)
| X1 != X8 )
| ! [X9] :
( ~ rpoint(X9)
| X2 != X9 )
| X0 = X1
| X0 = X2
| X1 = X2
| vf(X0,X1) != vf(X0,X2) ),
inference(rectify,[],[f292]) ).
fof(f292,plain,
! [X0,X1,X2] :
( ! [X6,X7,X8,X9] :
( vangle(X0,X1,X2) = vangle(X0,X2,X1)
| ~ rpoint(X7)
| ~ rR(X1,X0,X6)
| ~ rpoint(X9)
| ~ rR(X2,X0,X8)
| X8 != X9
| X6 != X7 )
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X2 != X5 )
| X0 = X1
| X0 = X2
| X1 = X2
| vf(X0,X1) != vf(X0,X2) ),
inference(flattening,[],[f291]) ).
fof(f291,plain,
! [X0,X1,X2] :
( ! [X6,X7,X8,X9] :
( vangle(X0,X1,X2) = vangle(X0,X2,X1)
| ~ rpoint(X7)
| ~ rR(X1,X0,X6)
| ~ rpoint(X9)
| ~ rR(X2,X0,X8)
| X8 != X9
| X6 != X7 )
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X2 != X5 )
| X0 = X1
| X0 = X2
| X1 = X2
| vf(X0,X1) != vf(X0,X2) ),
inference(ennf_transformation,[],[f152]) ).
fof(f152,plain,
! [X0,X1,X2] :
( ( ? [X3] :
( rpoint(X3)
& X0 = X3 )
& ? [X4] :
( rpoint(X4)
& X1 = X4 )
& ? [X5] :
( rpoint(X5)
& X2 = X5 )
& X0 != X1
& X0 != X2
& X1 != X2
& vf(X0,X1) = vf(X0,X2) )
=> ! [X6,X7,X8,X9] :
( ( rpoint(X7)
& rR(X1,X0,X6)
& rpoint(X9)
& rR(X2,X0,X8)
& X8 = X9
& X6 = X7 )
=> vangle(X0,X1,X2) = vangle(X0,X2,X1) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X15,X16,X17] :
( ( ? [X20] :
( rpoint(X20)
& X15 = X20 )
& ? [X19] :
( rpoint(X19)
& X16 = X19 )
& ? [X18] :
( rpoint(X18)
& X17 = X18 )
& X15 != X16
& X15 != X17
& X16 != X17
& vf(X15,X16) = vf(X15,X17) )
=> ! [X21,X22,X23,X24] :
( ( rpoint(X22)
& rR(X16,X15,X21)
& rpoint(X24)
& rR(X17,X15,X23)
& X23 = X24
& X21 = X22 )
=> vangle(X15,X16,X17) = vangle(X15,X17,X16) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(340), 0), 1)') ).
fof(f5279,plain,
( ~ spl57_9
| spl57_266
| ~ spl57_1
| ~ spl57_3
| ~ spl57_177 ),
inference(avatar_split_clause,[],[f2976,f2840,f1647,f1637,f5277,f1677]) ).
fof(f5277,plain,
( spl57_266
<=> ! [X0] :
( ~ rpoint(X0)
| sK8 = X0
| rR(sK25(X0,sK8),X0,sK8)
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_266])]) ).
fof(f2976,plain,
( ! [X0] :
( ~ rline(sK5)
| ~ rpoint(X0)
| ~ rpoint(sK8)
| ~ ron(X0,sK5)
| rR(sK25(X0,sK8),X0,sK8)
| sK8 = X0 )
| ~ spl57_3
| ~ spl57_177 ),
inference(resolution,[],[f2841,f1649]) ).
fof(f5275,plain,
spl57_265,
inference(avatar_split_clause,[],[f981,f5273]) ).
fof(f5273,plain,
( spl57_265
<=> ! [X4,X9,X7,X6,X8] :
( vangle(X8,X9,X6) = vangle(X9,X8,X4)
| ~ rpoint(X4)
| ~ rR(X8,X7,X4)
| ~ rpoint(X6)
| ~ rR(X9,X7,X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X7 = X8
| X7 = X9
| X8 = X9
| vf(X7,X8) != vf(X7,X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_265])]) ).
fof(f981,plain,
! [X8,X6,X9,X7,X4] :
( vangle(X8,X9,X6) = vangle(X9,X8,X4)
| ~ rpoint(X4)
| ~ rR(X8,X7,X4)
| ~ rpoint(X6)
| ~ rR(X9,X7,X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X7 = X8
| X7 = X9
| X8 = X9
| vf(X7,X8) != vf(X7,X9) ),
inference(equality_resolution,[],[f980]) ).
fof(f980,plain,
! [X2,X8,X6,X9,X7,X4] :
( vangle(X8,X2,X6) = vangle(X2,X8,X4)
| ~ rpoint(X4)
| ~ rR(X8,X7,X4)
| ~ rpoint(X6)
| ~ rR(X2,X7,X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X2 != X9
| X7 = X8
| X2 = X7
| X2 = X8
| vf(X7,X2) != vf(X7,X8) ),
inference(equality_resolution,[],[f979]) ).
fof(f979,plain,
! [X2,X1,X8,X6,X9,X7,X4] :
( vangle(X1,X2,X6) = vangle(X2,X1,X4)
| ~ rpoint(X4)
| ~ rR(X1,X7,X4)
| ~ rpoint(X6)
| ~ rR(X2,X7,X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X1 != X8
| ~ rpoint(X9)
| X2 != X9
| X1 = X7
| X2 = X7
| X1 = X2
| vf(X7,X1) != vf(X7,X2) ),
inference(equality_resolution,[],[f978]) ).
fof(f978,plain,
! [X2,X0,X1,X8,X6,X9,X7,X4] :
( vangle(X1,X2,X6) = vangle(X2,X1,X4)
| ~ rpoint(X4)
| ~ rR(X1,X0,X4)
| ~ rpoint(X6)
| ~ rR(X2,X0,X6)
| ~ rpoint(X7)
| X0 != X7
| ~ rpoint(X8)
| X1 != X8
| ~ rpoint(X9)
| X2 != X9
| X0 = X1
| X0 = X2
| X1 = X2
| vf(X0,X1) != vf(X0,X2) ),
inference(equality_resolution,[],[f977]) ).
fof(f977,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4] :
( vangle(X2,X1,X3) = vangle(X1,X2,X6)
| ~ rpoint(X4)
| ~ rR(X1,X0,X3)
| ~ rpoint(X6)
| ~ rR(X2,X0,X6)
| X3 != X4
| ~ rpoint(X7)
| X0 != X7
| ~ rpoint(X8)
| X1 != X8
| ~ rpoint(X9)
| X2 != X9
| X0 = X1
| X0 = X2
| X1 = X2
| vf(X0,X1) != vf(X0,X2) ),
inference(equality_resolution,[],[f682]) ).
fof(f682,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( vangle(X2,X1,X3) = vangle(X1,X2,X5)
| ~ rpoint(X4)
| ~ rR(X1,X0,X3)
| ~ rpoint(X6)
| ~ rR(X2,X0,X5)
| X5 != X6
| X3 != X4
| ~ rpoint(X7)
| X0 != X7
| ~ rpoint(X8)
| X1 != X8
| ~ rpoint(X9)
| X2 != X9
| X0 = X1
| X0 = X2
| X1 = X2
| vf(X0,X1) != vf(X0,X2) ),
inference(cnf_transformation,[],[f510]) ).
fof(f510,plain,
! [X0,X1,X2] :
( ! [X3,X4,X5,X6] :
( vangle(X2,X1,X3) = vangle(X1,X2,X5)
| ~ rpoint(X4)
| ~ rR(X1,X0,X3)
| ~ rpoint(X6)
| ~ rR(X2,X0,X5)
| X5 != X6
| X3 != X4 )
| ! [X7] :
( ~ rpoint(X7)
| X0 != X7 )
| ! [X8] :
( ~ rpoint(X8)
| X1 != X8 )
| ! [X9] :
( ~ rpoint(X9)
| X2 != X9 )
| X0 = X1
| X0 = X2
| X1 = X2
| vf(X0,X1) != vf(X0,X2) ),
inference(rectify,[],[f290]) ).
fof(f290,plain,
! [X0,X1,X2] :
( ! [X6,X7,X8,X9] :
( vangle(X2,X1,X6) = vangle(X1,X2,X8)
| ~ rpoint(X7)
| ~ rR(X1,X0,X6)
| ~ rpoint(X9)
| ~ rR(X2,X0,X8)
| X8 != X9
| X6 != X7 )
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X2 != X5 )
| X0 = X1
| X0 = X2
| X1 = X2
| vf(X0,X1) != vf(X0,X2) ),
inference(flattening,[],[f289]) ).
fof(f289,plain,
! [X0,X1,X2] :
( ! [X6,X7,X8,X9] :
( vangle(X2,X1,X6) = vangle(X1,X2,X8)
| ~ rpoint(X7)
| ~ rR(X1,X0,X6)
| ~ rpoint(X9)
| ~ rR(X2,X0,X8)
| X8 != X9
| X6 != X7 )
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X2 != X5 )
| X0 = X1
| X0 = X2
| X1 = X2
| vf(X0,X1) != vf(X0,X2) ),
inference(ennf_transformation,[],[f151]) ).
fof(f151,plain,
! [X0,X1,X2] :
( ( ? [X3] :
( rpoint(X3)
& X0 = X3 )
& ? [X4] :
( rpoint(X4)
& X1 = X4 )
& ? [X5] :
( rpoint(X5)
& X2 = X5 )
& X0 != X1
& X0 != X2
& X1 != X2
& vf(X0,X1) = vf(X0,X2) )
=> ! [X6,X7,X8,X9] :
( ( rpoint(X7)
& rR(X1,X0,X6)
& rpoint(X9)
& rR(X2,X0,X8)
& X8 = X9
& X6 = X7 )
=> vangle(X2,X1,X6) = vangle(X1,X2,X8) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X15,X16,X17] :
( ( ? [X20] :
( rpoint(X20)
& X15 = X20 )
& ? [X19] :
( rpoint(X19)
& X16 = X19 )
& ? [X18] :
( rpoint(X18)
& X17 = X18 )
& X15 != X16
& X15 != X17
& X16 != X17
& vf(X15,X16) = vf(X15,X17) )
=> ! [X21,X22,X23,X24] :
( ( rpoint(X22)
& rR(X16,X15,X21)
& rpoint(X24)
& rR(X17,X15,X23)
& X23 = X24
& X21 = X22 )
=> vangle(X17,X16,X21) = vangle(X16,X17,X23) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(340), 0), 0)') ).
fof(f5226,plain,
spl57_264,
inference(avatar_split_clause,[],[f1201,f5224]) ).
fof(f1201,plain,
! [X8,X6,X9,X7,X5] :
( rR(X6,X5,X7)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X5 = X6
| X5 = X7
| X6 = X7
| ~ rline(X8)
| ~ rline(X9)
| X8 = X9
| ~ ron(X5,X9)
| ~ ron(X7,X9)
| rS(X5,X7,X8)
| ~ ron(X6,X9)
| ~ ron(X6,X8) ),
inference(equality_resolution,[],[f1200]) ).
fof(f1200,plain,
! [X8,X6,X9,X7,X4,X5] :
( rR(X6,X5,X7)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X5 = X6
| X5 = X7
| X6 = X7
| ~ rline(X8)
| ~ rline(X9)
| X4 != X9
| X4 = X8
| ~ ron(X5,X4)
| ~ ron(X7,X4)
| rS(X5,X7,X8)
| ~ ron(X6,X4)
| ~ ron(X6,X8) ),
inference(equality_resolution,[],[f1199]) ).
fof(f1199,plain,
! [X3,X8,X6,X9,X7,X4,X5] :
( rR(X6,X5,X7)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X5 = X6
| X5 = X7
| X6 = X7
| ~ rline(X8)
| X3 != X8
| ~ rline(X9)
| X4 != X9
| X3 = X4
| ~ ron(X5,X4)
| ~ ron(X7,X4)
| rS(X5,X7,X3)
| ~ ron(X6,X4)
| ~ ron(X6,X3) ),
inference(equality_resolution,[],[f1198]) ).
fof(f1198,plain,
! [X2,X3,X8,X6,X9,X7,X4,X5] :
( rR(X6,X5,X2)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X2 != X7
| X5 = X6
| X2 = X5
| X2 = X6
| ~ rline(X8)
| X3 != X8
| ~ rline(X9)
| X4 != X9
| X3 = X4
| ~ ron(X5,X4)
| ~ ron(X2,X4)
| rS(X5,X2,X3)
| ~ ron(X6,X4)
| ~ ron(X6,X3) ),
inference(equality_resolution,[],[f1197]) ).
fof(f1197,plain,
! [X2,X3,X1,X8,X6,X9,X7,X4,X5] :
( rR(X1,X5,X2)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| X1 = X5
| X2 = X5
| X1 = X2
| ~ rline(X8)
| X3 != X8
| ~ rline(X9)
| X4 != X9
| X3 = X4
| ~ ron(X5,X4)
| ~ ron(X2,X4)
| rS(X5,X2,X3)
| ~ ron(X1,X4)
| ~ ron(X1,X3) ),
inference(equality_resolution,[],[f771]) ).
fof(f771,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( rR(X1,X0,X2)
| ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rline(X8)
| X3 != X8
| ~ rline(X9)
| X4 != X9
| X3 = X4
| ~ ron(X0,X4)
| ~ ron(X2,X4)
| rS(X0,X2,X3)
| ~ ron(X1,X4)
| ~ ron(X1,X3) ),
inference(cnf_transformation,[],[f378]) ).
fof(f378,plain,
! [X0,X1,X2,X3,X4] :
( rR(X1,X0,X2)
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| X0 = X1
| X0 = X2
| X1 = X2
| ! [X8] :
( ~ rline(X8)
| X3 != X8 )
| ! [X9] :
( ~ rline(X9)
| X4 != X9 )
| X3 = X4
| ~ ron(X0,X4)
| ~ ron(X2,X4)
| rS(X0,X2,X3)
| ~ ron(X1,X4)
| ~ ron(X1,X3) ),
inference(flattening,[],[f377]) ).
fof(f377,plain,
! [X0,X1,X2,X3,X4] :
( rR(X1,X0,X2)
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| X0 = X1
| X0 = X2
| X1 = X2
| ! [X8] :
( ~ rline(X8)
| X3 != X8 )
| ! [X9] :
( ~ rline(X9)
| X4 != X9 )
| X3 = X4
| ~ ron(X0,X4)
| ~ ron(X2,X4)
| rS(X0,X2,X3)
| ~ ron(X1,X4)
| ~ ron(X1,X3) ),
inference(ennf_transformation,[],[f197]) ).
fof(f197,plain,
! [X0,X1,X2,X3,X4] :
( ( ? [X5] :
( rpoint(X5)
& X0 = X5 )
& ? [X6] :
( rpoint(X6)
& X1 = X6 )
& ? [X7] :
( rpoint(X7)
& X2 = X7 )
& X0 != X1
& X0 != X2
& X1 != X2
& ? [X8] :
( rline(X8)
& X3 = X8 )
& ? [X9] :
( rline(X9)
& X4 = X9 )
& X3 != X4
& ron(X0,X4)
& ron(X2,X4)
& ~ rS(X0,X2,X3)
& ron(X1,X4)
& ron(X1,X3) )
=> rR(X1,X0,X2) ),
inference(rectify,[],[f79]) ).
fof(f79,axiom,
! [X446,X447,X448,X449,X450] :
( ( ? [X455] :
( rpoint(X455)
& X446 = X455 )
& ? [X454] :
( rpoint(X454)
& X447 = X454 )
& ? [X453] :
( rpoint(X453)
& X448 = X453 )
& X446 != X447
& X446 != X448
& X447 != X448
& ? [X452] :
( rline(X452)
& X449 = X452 )
& ? [X451] :
( rline(X451)
& X450 = X451 )
& X449 != X450
& ron(X446,X450)
& ron(X448,X450)
& ~ rS(X446,X448,X449)
& ron(X447,X450)
& ron(X447,X449) )
=> rR(X447,X446,X448) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(111), 0), imp(cond(axiom(111), 0)))') ).
fof(f5219,plain,
spl57_263,
inference(avatar_split_clause,[],[f867,f5217]) ).
fof(f5217,plain,
( spl57_263
<=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X15,X5,X12,X13] :
( ~ rR(X10,sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),X15)
| ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_263])]) ).
fof(f867,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X15,X5,X12,X13] :
( ~ rR(X10,sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),X15)
| ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16) ),
inference(cnf_transformation,[],[f603]) ).
fof(f5215,plain,
spl57_262,
inference(avatar_split_clause,[],[f866,f5213]) ).
fof(f866,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X15,X5,X12,X13] :
( rS(sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),X16,X14)
| ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16) ),
inference(cnf_transformation,[],[f603]) ).
fof(f5107,plain,
spl57_261,
inference(avatar_split_clause,[],[f1164,f5105]) ).
fof(f1164,plain,
! [X6,X7,X4,X5] :
( rR(X7,X5,X6)
| rR(X5,X6,X7)
| rR(X6,X5,X7)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X5 = X6
| X5 = X7
| X6 = X7
| ~ rline(X4)
| ~ ron(X5,X4)
| ~ ron(X6,X4)
| ~ ron(X7,X4) ),
inference(equality_resolution,[],[f1163]) ).
fof(f1163,plain,
! [X3,X6,X7,X4,X5] :
( rR(X7,X5,X6)
| rR(X5,X6,X7)
| rR(X6,X5,X7)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X5 = X6
| X5 = X7
| X6 = X7
| ~ rline(X4)
| ~ ron(X5,X3)
| ~ ron(X6,X3)
| ~ ron(X7,X3)
| X3 != X4 ),
inference(equality_resolution,[],[f1162]) ).
fof(f1162,plain,
! [X2,X3,X6,X7,X4,X5] :
( rR(X2,X5,X6)
| rR(X5,X6,X2)
| rR(X6,X5,X2)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X2 != X7
| X5 = X6
| X2 = X5
| X2 = X6
| ~ rline(X4)
| ~ ron(X5,X3)
| ~ ron(X6,X3)
| ~ ron(X2,X3)
| X3 != X4 ),
inference(equality_resolution,[],[f1161]) ).
fof(f1161,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( rR(X2,X5,X1)
| rR(X5,X1,X2)
| rR(X1,X5,X2)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| X1 = X5
| X2 = X5
| X1 = X2
| ~ rline(X4)
| ~ ron(X5,X3)
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| X3 != X4 ),
inference(equality_resolution,[],[f762]) ).
fof(f762,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( rR(X2,X0,X1)
| rR(X0,X1,X2)
| rR(X1,X0,X2)
| ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rline(X4)
| ~ ron(X0,X3)
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| X3 != X4 ),
inference(cnf_transformation,[],[f368]) ).
fof(f368,plain,
! [X0,X1,X2,X3,X4] :
( rR(X2,X0,X1)
| rR(X0,X1,X2)
| rR(X1,X0,X2)
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rline(X4)
| ~ ron(X0,X3)
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| X3 != X4 ),
inference(flattening,[],[f367]) ).
fof(f367,plain,
! [X0,X1,X2,X3,X4] :
( rR(X2,X0,X1)
| rR(X0,X1,X2)
| rR(X1,X0,X2)
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rline(X4)
| ~ ron(X0,X3)
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| X3 != X4 ),
inference(ennf_transformation,[],[f192]) ).
fof(f192,plain,
! [X0,X1,X2,X3,X4] :
( ( ? [X5] :
( rpoint(X5)
& X0 = X5 )
& ? [X6] :
( rpoint(X6)
& X1 = X6 )
& ? [X7] :
( rpoint(X7)
& X2 = X7 )
& X0 != X1
& X0 != X2
& X1 != X2
& rline(X4)
& ron(X0,X3)
& ron(X1,X3)
& ron(X2,X3)
& X3 = X4 )
=> ( rR(X2,X0,X1)
| rR(X0,X1,X2)
| rR(X1,X0,X2) ) ),
inference(rectify,[],[f48]) ).
fof(f48,axiom,
! [X219,X220,X221,X222,X223] :
( ( ? [X226] :
( rpoint(X226)
& X219 = X226 )
& ? [X225] :
( rpoint(X225)
& X220 = X225 )
& ? [X224] :
( rpoint(X224)
& X221 = X224 )
& X219 != X220
& X219 != X221
& X220 != X221
& rline(X223)
& ron(X219,X222)
& ron(X220,X222)
& ron(X221,X222)
& X222 = X223 )
=> ( rR(X221,X219,X220)
| rR(X219,X220,X221)
| rR(X220,X219,X221) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(91), 0), imp(cond(axiom(91), 0)))') ).
fof(f5103,plain,
spl57_260,
inference(avatar_split_clause,[],[f875,f5101]) ).
fof(f5101,plain,
( spl57_260
<=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X15,X5,X12,X13] :
( sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16) = X10
| ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_260])]) ).
fof(f875,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X15,X5,X12,X13] :
( sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16) = X10
| ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16) ),
inference(cnf_transformation,[],[f603]) ).
fof(f5099,plain,
spl57_259,
inference(avatar_split_clause,[],[f868,f5097]) ).
fof(f868,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X15,X5,X12,X13] :
( ron(sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),X14)
| ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16) ),
inference(cnf_transformation,[],[f603]) ).
fof(f5059,plain,
spl57_258,
inference(avatar_split_clause,[],[f878,f5057]) ).
fof(f878,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X15,X5,X12,X13] :
( rpoint(sK54(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
| ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16) ),
inference(cnf_transformation,[],[f603]) ).
fof(f5055,plain,
spl57_257,
inference(avatar_split_clause,[],[f877,f5053]) ).
fof(f877,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X15,X5,X12,X13] :
( rpoint(sK55(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
| ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16) ),
inference(cnf_transformation,[],[f603]) ).
fof(f5051,plain,
spl57_256,
inference(avatar_split_clause,[],[f876,f5049]) ).
fof(f876,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X15,X5,X12,X13] :
( rpoint(sK56(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
| ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16) ),
inference(cnf_transformation,[],[f603]) ).
fof(f5023,plain,
( ~ spl57_11
| spl57_255
| ~ spl57_1
| ~ spl57_4
| ~ spl57_176 ),
inference(avatar_split_clause,[],[f2939,f2836,f1652,f1637,f5021,f1687]) ).
fof(f5021,plain,
( spl57_255
<=> ! [X0] :
( ~ rpoint(X0)
| sK6 = X0
| rR(sK6,X0,sK24(X0,sK6))
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_255])]) ).
fof(f2939,plain,
( ! [X0] :
( ~ rline(sK5)
| ~ rpoint(X0)
| ~ rpoint(sK6)
| ~ ron(X0,sK5)
| rR(sK6,X0,sK24(X0,sK6))
| sK6 = X0 )
| ~ spl57_4
| ~ spl57_176 ),
inference(resolution,[],[f2837,f1654]) ).
fof(f5019,plain,
spl57_254,
inference(avatar_split_clause,[],[f1581,f5017]) ).
fof(f5017,plain,
( spl57_254
<=> ! [X3,X7,X5,X1] :
( vf(X5,X7) = vf(X1,vskolem1120(X1,X1,X3,X3,X5,X5,X7,X7))
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X7)
| X1 = X3
| X5 = X7
| ~ rless(vf(X5,X7),vf(X1,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_254])]) ).
fof(f1581,plain,
! [X3,X1,X7,X5] :
( vf(X5,X7) = vf(X1,vskolem1120(X1,X1,X3,X3,X5,X5,X7,X7))
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X7)
| X1 = X3
| X5 = X7
| ~ rless(vf(X5,X7),vf(X1,X3)) ),
inference(equality_resolution,[],[f1580]) ).
fof(f1580,plain,
! [X3,X1,X6,X7,X5] :
( vf(X5,X6) = vf(X1,vskolem1120(X1,X1,X3,X3,X5,X5,X6,X7))
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X7)
| X6 != X7
| X1 = X3
| X5 = X6
| ~ rless(vf(X5,X6),vf(X1,X3)) ),
inference(equality_resolution,[],[f1579]) ).
fof(f1579,plain,
! [X3,X1,X6,X7,X4,X5] :
( vf(X4,X6) = vf(X1,vskolem1120(X1,X1,X3,X3,X4,X5,X6,X7))
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| X4 != X5
| ~ rpoint(X7)
| X6 != X7
| X1 = X3
| X4 = X6
| ~ rless(vf(X4,X6),vf(X1,X3)) ),
inference(equality_resolution,[],[f1578]) ).
fof(f1578,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( vf(X4,X6) = vf(X1,vskolem1120(X1,X1,X2,X3,X4,X5,X6,X7))
| ~ rpoint(X1)
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rpoint(X7)
| X6 != X7
| X1 = X2
| X4 = X6
| ~ rless(vf(X4,X6),vf(X1,X2)) ),
inference(equality_resolution,[],[f863]) ).
fof(f863,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( vf(X4,X6) = vf(X0,vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7))
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rpoint(X7)
| X6 != X7
| X0 = X2
| X4 = X6
| ~ rless(vf(X4,X6),vf(X0,X2)) ),
inference(cnf_transformation,[],[f458]) ).
fof(f458,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( vf(X4,X6) = vf(X0,vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7))
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rpoint(X7)
| X6 != X7
| X0 = X2
| X4 = X6
| ~ rless(vf(X4,X6),vf(X0,X2)) ),
inference(flattening,[],[f457]) ).
fof(f457,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( vf(X4,X6) = vf(X0,vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7))
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rpoint(X7)
| X6 != X7
| X0 = X2
| X4 = X6
| ~ rless(vf(X4,X6),vf(X0,X2)) ),
inference(ennf_transformation,[],[f238]) ).
fof(f238,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( rpoint(X1)
& X0 = X1
& rpoint(X3)
& X2 = X3
& rpoint(X5)
& X4 = X5
& rpoint(X7)
& X6 = X7
& X0 != X2
& X4 != X6
& rless(vf(X4,X6),vf(X0,X2)) )
=> vf(X4,X6) = vf(X0,vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7)) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X38,X39,X40,X41,X42,X43,X44,X45] :
( ( rpoint(X39)
& X38 = X39
& rpoint(X41)
& X40 = X41
& rpoint(X43)
& X42 = X43
& rpoint(X45)
& X44 = X45
& X38 != X40
& X42 != X44
& rless(vf(X42,X44),vf(X38,X40)) )
=> vf(X42,X44) = vf(X38,vskolem1120(X38,X39,X40,X41,X42,X43,X44,X45)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(238), 0), 0)') ).
fof(f5005,plain,
spl57_253,
inference(avatar_split_clause,[],[f1451,f5003]) ).
fof(f5003,plain,
( spl57_253
<=> ! [X6,X4,X7,X9,X8] :
( rR(X7,X8,X9)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rline(X4)
| ~ rcircle(X6)
| ~ ron(X7,X4)
| ~ ron(X8,X4)
| ~ ron(X9,X4)
| ~ rinside(X7,X6)
| ~ ron(X8,X6)
| ~ ron(X9,X6)
| X8 = X9 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_253])]) ).
fof(f1451,plain,
! [X8,X6,X9,X7,X4] :
( rR(X7,X8,X9)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rline(X4)
| ~ rcircle(X6)
| ~ ron(X7,X4)
| ~ ron(X8,X4)
| ~ ron(X9,X4)
| ~ rinside(X7,X6)
| ~ ron(X8,X6)
| ~ ron(X9,X6)
| X8 = X9 ),
inference(equality_resolution,[],[f1450]) ).
fof(f1450,plain,
! [X8,X6,X9,X7,X4,X5] :
( rR(X7,X8,X9)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rline(X4)
| ~ rcircle(X6)
| X5 != X6
| ~ ron(X7,X4)
| ~ ron(X8,X4)
| ~ ron(X9,X4)
| ~ rinside(X7,X5)
| ~ ron(X8,X5)
| ~ ron(X9,X5)
| X8 = X9 ),
inference(equality_resolution,[],[f1449]) ).
fof(f1449,plain,
! [X3,X8,X6,X9,X7,X4,X5] :
( rR(X7,X8,X9)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rline(X4)
| X3 != X4
| ~ rcircle(X6)
| X5 != X6
| ~ ron(X7,X3)
| ~ ron(X8,X3)
| ~ ron(X9,X3)
| ~ rinside(X7,X5)
| ~ ron(X8,X5)
| ~ ron(X9,X5)
| X8 = X9 ),
inference(equality_resolution,[],[f1448]) ).
fof(f1448,plain,
! [X2,X3,X8,X6,X9,X7,X4,X5] :
( rR(X7,X8,X2)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X2 != X9
| ~ rline(X4)
| X3 != X4
| ~ rcircle(X6)
| X5 != X6
| ~ ron(X7,X3)
| ~ ron(X8,X3)
| ~ ron(X2,X3)
| ~ rinside(X7,X5)
| ~ ron(X8,X5)
| ~ ron(X2,X5)
| X2 = X8 ),
inference(equality_resolution,[],[f1447]) ).
fof(f1447,plain,
! [X2,X3,X1,X8,X6,X9,X7,X4,X5] :
( rR(X7,X1,X2)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X1 != X8
| ~ rpoint(X9)
| X2 != X9
| ~ rline(X4)
| X3 != X4
| ~ rcircle(X6)
| X5 != X6
| ~ ron(X7,X3)
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| ~ rinside(X7,X5)
| ~ ron(X1,X5)
| ~ ron(X2,X5)
| X1 = X2 ),
inference(equality_resolution,[],[f827]) ).
fof(f827,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( rR(X0,X1,X2)
| ~ rpoint(X7)
| X0 != X7
| ~ rpoint(X8)
| X1 != X8
| ~ rpoint(X9)
| X2 != X9
| ~ rline(X4)
| X3 != X4
| ~ rcircle(X6)
| X5 != X6
| ~ ron(X0,X3)
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| ~ rinside(X0,X5)
| ~ ron(X1,X5)
| ~ ron(X2,X5)
| X1 = X2 ),
inference(cnf_transformation,[],[f430]) ).
fof(f430,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( rR(X0,X1,X2)
| ! [X7] :
( ~ rpoint(X7)
| X0 != X7 )
| ! [X8] :
( ~ rpoint(X8)
| X1 != X8 )
| ! [X9] :
( ~ rpoint(X9)
| X2 != X9 )
| ~ rline(X4)
| X3 != X4
| ~ rcircle(X6)
| X5 != X6
| ~ ron(X0,X3)
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| ~ rinside(X0,X5)
| ~ ron(X1,X5)
| ~ ron(X2,X5)
| X1 = X2 ),
inference(flattening,[],[f429]) ).
fof(f429,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( rR(X0,X1,X2)
| ! [X7] :
( ~ rpoint(X7)
| X0 != X7 )
| ! [X8] :
( ~ rpoint(X8)
| X1 != X8 )
| ! [X9] :
( ~ rpoint(X9)
| X2 != X9 )
| ~ rline(X4)
| X3 != X4
| ~ rcircle(X6)
| X5 != X6
| ~ ron(X0,X3)
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| ~ rinside(X0,X5)
| ~ ron(X1,X5)
| ~ ron(X2,X5)
| X1 = X2 ),
inference(ennf_transformation,[],[f224]) ).
fof(f224,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ? [X7] :
( rpoint(X7)
& X0 = X7 )
& ? [X8] :
( rpoint(X8)
& X1 = X8 )
& ? [X9] :
( rpoint(X9)
& X2 = X9 )
& rline(X4)
& X3 = X4
& rcircle(X6)
& X5 = X6
& ron(X0,X3)
& ron(X1,X3)
& ron(X2,X3)
& rinside(X0,X5)
& ron(X1,X5)
& ron(X2,X5)
& X1 != X2 )
=> rR(X0,X1,X2) ),
inference(rectify,[],[f75]) ).
fof(f75,axiom,
! [X393,X394,X395,X396,X397,X398,X399] :
( ( ? [X402] :
( rpoint(X402)
& X393 = X402 )
& ? [X401] :
( rpoint(X401)
& X394 = X401 )
& ? [X400] :
( rpoint(X400)
& X395 = X400 )
& rline(X397)
& X396 = X397
& rcircle(X399)
& X398 = X399
& ron(X393,X396)
& ron(X394,X396)
& ron(X395,X396)
& rinside(X393,X398)
& ron(X394,X398)
& ron(X395,X398)
& X394 != X395 )
=> rR(X393,X394,X395) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(119), 0), imp(cond(axiom(119), 0)))') ).
fof(f5001,plain,
spl57_252,
inference(avatar_split_clause,[],[f1348,f4999]) ).
fof(f4999,plain,
( spl57_252
<=> ! [X10,X7,X9,X8,X1] :
( rR(sK45(X7,X8,X9,X10),X7,X8)
| ~ rline(X1)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ ron(X7,X1)
| ~ ron(X8,X1)
| ~ ron(X9,X1)
| ~ rR(X9,X7,X8)
| ~ rR(X10,X7,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_252])]) ).
fof(f1348,plain,
! [X10,X1,X8,X9,X7] :
( rR(sK45(X7,X8,X9,X10),X7,X8)
| ~ rline(X1)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ ron(X7,X1)
| ~ ron(X8,X1)
| ~ ron(X9,X1)
| ~ rR(X9,X7,X8)
| ~ rR(X10,X7,X8) ),
inference(equality_resolution,[],[f1347]) ).
fof(f1347,plain,
! [X10,X1,X8,X9,X7,X5] :
( rR(sK45(X7,X8,X9,X5),X7,X8)
| ~ rline(X1)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| X5 != X10
| ~ ron(X7,X1)
| ~ ron(X8,X1)
| ~ ron(X9,X1)
| ~ rR(X9,X7,X8)
| ~ rR(X5,X7,X8) ),
inference(equality_resolution,[],[f1346]) ).
fof(f1346,plain,
! [X10,X1,X8,X9,X7,X4,X5] :
( rR(sK45(X7,X8,X4,X5),X7,X8)
| ~ rline(X1)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X4 != X9
| ~ rpoint(X10)
| X5 != X10
| ~ ron(X7,X1)
| ~ ron(X8,X1)
| ~ ron(X4,X1)
| ~ rR(X4,X7,X8)
| ~ rR(X5,X7,X8) ),
inference(equality_resolution,[],[f1345]) ).
fof(f1345,plain,
! [X3,X10,X1,X8,X9,X7,X4,X5] :
( rR(sK45(X7,X3,X4,X5),X7,X3)
| ~ rline(X1)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X3 != X8
| ~ rpoint(X9)
| X4 != X9
| ~ rpoint(X10)
| X5 != X10
| ~ ron(X7,X1)
| ~ ron(X3,X1)
| ~ ron(X4,X1)
| ~ rR(X4,X7,X3)
| ~ rR(X5,X7,X3) ),
inference(equality_resolution,[],[f1344]) ).
fof(f1344,plain,
! [X2,X3,X10,X1,X8,X9,X7,X4,X5] :
( rR(sK45(X2,X3,X4,X5),X2,X3)
| ~ rline(X1)
| ~ rpoint(X7)
| X2 != X7
| ~ rpoint(X8)
| X3 != X8
| ~ rpoint(X9)
| X4 != X9
| ~ rpoint(X10)
| X5 != X10
| ~ ron(X2,X1)
| ~ ron(X3,X1)
| ~ ron(X4,X1)
| ~ rR(X4,X2,X3)
| ~ rR(X5,X2,X3) ),
inference(equality_resolution,[],[f810]) ).
fof(f810,plain,
! [X2,X3,X10,X0,X1,X8,X9,X7,X4,X5] :
( rR(sK45(X2,X3,X4,X5),X2,X3)
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X7)
| X2 != X7
| ~ rpoint(X8)
| X3 != X8
| ~ rpoint(X9)
| X4 != X9
| ~ rpoint(X10)
| X5 != X10
| ~ ron(X2,X0)
| ~ ron(X3,X0)
| ~ ron(X4,X0)
| ~ rR(X4,X2,X3)
| ~ rR(X5,X2,X3) ),
inference(cnf_transformation,[],[f577]) ).
fof(f577,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( rpoint(sK45(X2,X3,X4,X5))
& rR(sK45(X2,X3,X4,X5),X2,X3)
& sK45(X2,X3,X4,X5) != X4
& sK45(X2,X3,X4,X5) != X5 )
| ~ rline(X1)
| X0 != X1
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| ! [X8] :
( ~ rpoint(X8)
| X3 != X8 )
| ! [X9] :
( ~ rpoint(X9)
| X4 != X9 )
| ! [X10] :
( ~ rpoint(X10)
| X5 != X10 )
| ~ ron(X2,X0)
| ~ ron(X3,X0)
| ~ ron(X4,X0)
| ~ rR(X4,X2,X3)
| ~ rR(X5,X2,X3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK45])],[f575,f576]) ).
fof(f576,plain,
! [X2,X3,X4,X5] :
( ? [X6] :
( rpoint(X6)
& rR(X6,X2,X3)
& X4 != X6
& X5 != X6 )
=> ( rpoint(sK45(X2,X3,X4,X5))
& rR(sK45(X2,X3,X4,X5),X2,X3)
& sK45(X2,X3,X4,X5) != X4
& sK45(X2,X3,X4,X5) != X5 ) ),
introduced(choice_axiom,[]) ).
fof(f575,plain,
! [X0,X1,X2,X3,X4,X5] :
( ? [X6] :
( rpoint(X6)
& rR(X6,X2,X3)
& X4 != X6
& X5 != X6 )
| ~ rline(X1)
| X0 != X1
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| ! [X8] :
( ~ rpoint(X8)
| X3 != X8 )
| ! [X9] :
( ~ rpoint(X9)
| X4 != X9 )
| ! [X10] :
( ~ rpoint(X10)
| X5 != X10 )
| ~ ron(X2,X0)
| ~ ron(X3,X0)
| ~ ron(X4,X0)
| ~ rR(X4,X2,X3)
| ~ rR(X5,X2,X3) ),
inference(rectify,[],[f416]) ).
fof(f416,plain,
! [X0,X1,X2,X3,X4,X5] :
( ? [X10] :
( rpoint(X10)
& rR(X10,X2,X3)
& X4 != X10
& X5 != X10 )
| ~ rline(X1)
| X0 != X1
| ! [X6] :
( ~ rpoint(X6)
| X2 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X3 != X7 )
| ! [X8] :
( ~ rpoint(X8)
| X4 != X8 )
| ! [X9] :
( ~ rpoint(X9)
| X5 != X9 )
| ~ ron(X2,X0)
| ~ ron(X3,X0)
| ~ ron(X4,X0)
| ~ rR(X4,X2,X3)
| ~ rR(X5,X2,X3) ),
inference(flattening,[],[f415]) ).
fof(f415,plain,
! [X0,X1,X2,X3,X4,X5] :
( ? [X10] :
( rpoint(X10)
& rR(X10,X2,X3)
& X4 != X10
& X5 != X10 )
| ~ rline(X1)
| X0 != X1
| ! [X6] :
( ~ rpoint(X6)
| X2 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X3 != X7 )
| ! [X8] :
( ~ rpoint(X8)
| X4 != X8 )
| ! [X9] :
( ~ rpoint(X9)
| X5 != X9 )
| ~ ron(X2,X0)
| ~ ron(X3,X0)
| ~ ron(X4,X0)
| ~ rR(X4,X2,X3)
| ~ rR(X5,X2,X3) ),
inference(ennf_transformation,[],[f217]) ).
fof(f217,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( rline(X1)
& X0 = X1
& ? [X6] :
( rpoint(X6)
& X2 = X6 )
& ? [X7] :
( rpoint(X7)
& X3 = X7 )
& ? [X8] :
( rpoint(X8)
& X4 = X8 )
& ? [X9] :
( rpoint(X9)
& X5 = X9 )
& ron(X2,X0)
& ron(X3,X0)
& ron(X4,X0)
& rR(X4,X2,X3)
& rR(X5,X2,X3) )
=> ? [X10] :
( rpoint(X10)
& rR(X10,X2,X3)
& X4 != X10
& X5 != X10 ) ),
inference(rectify,[],[f103]) ).
fof(f103,axiom,
! [X609,X610,X611,X612,X613,X614] :
( ( rline(X610)
& X609 = X610
& ? [X618] :
( rpoint(X618)
& X611 = X618 )
& ? [X617] :
( rpoint(X617)
& X612 = X617 )
& ? [X616] :
( rpoint(X616)
& X613 = X616 )
& ? [X615] :
( rpoint(X615)
& X614 = X615 )
& ron(X611,X609)
& ron(X612,X609)
& ron(X613,X609)
& rR(X613,X611,X612)
& rR(X614,X611,X612) )
=> ? [X619] :
( rpoint(X619)
& rR(X619,X611,X612)
& X613 != X619
& X614 != X619 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(27), 0), imp(cond(axiom(27), 0)))') ).
fof(f4994,plain,
spl57_251,
inference(avatar_split_clause,[],[f1358,f4992]) ).
fof(f4992,plain,
( spl57_251
<=> ! [X10,X7,X9,X8,X1] :
( sK45(X7,X8,X9,X10) != X10
| ~ rline(X1)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ ron(X7,X1)
| ~ ron(X8,X1)
| ~ ron(X9,X1)
| ~ rR(X9,X7,X8)
| ~ rR(X10,X7,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_251])]) ).
fof(f1358,plain,
! [X10,X1,X8,X9,X7] :
( sK45(X7,X8,X9,X10) != X10
| ~ rline(X1)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ ron(X7,X1)
| ~ ron(X8,X1)
| ~ ron(X9,X1)
| ~ rR(X9,X7,X8)
| ~ rR(X10,X7,X8) ),
inference(equality_resolution,[],[f1357]) ).
fof(f1357,plain,
! [X10,X1,X8,X9,X7,X5] :
( sK45(X7,X8,X9,X5) != X5
| ~ rline(X1)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| X5 != X10
| ~ ron(X7,X1)
| ~ ron(X8,X1)
| ~ ron(X9,X1)
| ~ rR(X9,X7,X8)
| ~ rR(X5,X7,X8) ),
inference(equality_resolution,[],[f1356]) ).
fof(f1356,plain,
! [X10,X1,X8,X9,X7,X4,X5] :
( sK45(X7,X8,X4,X5) != X5
| ~ rline(X1)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X4 != X9
| ~ rpoint(X10)
| X5 != X10
| ~ ron(X7,X1)
| ~ ron(X8,X1)
| ~ ron(X4,X1)
| ~ rR(X4,X7,X8)
| ~ rR(X5,X7,X8) ),
inference(equality_resolution,[],[f1355]) ).
fof(f1355,plain,
! [X3,X10,X1,X8,X9,X7,X4,X5] :
( sK45(X7,X3,X4,X5) != X5
| ~ rline(X1)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X3 != X8
| ~ rpoint(X9)
| X4 != X9
| ~ rpoint(X10)
| X5 != X10
| ~ ron(X7,X1)
| ~ ron(X3,X1)
| ~ ron(X4,X1)
| ~ rR(X4,X7,X3)
| ~ rR(X5,X7,X3) ),
inference(equality_resolution,[],[f1354]) ).
fof(f1354,plain,
! [X2,X3,X10,X1,X8,X9,X7,X4,X5] :
( sK45(X2,X3,X4,X5) != X5
| ~ rline(X1)
| ~ rpoint(X7)
| X2 != X7
| ~ rpoint(X8)
| X3 != X8
| ~ rpoint(X9)
| X4 != X9
| ~ rpoint(X10)
| X5 != X10
| ~ ron(X2,X1)
| ~ ron(X3,X1)
| ~ ron(X4,X1)
| ~ rR(X4,X2,X3)
| ~ rR(X5,X2,X3) ),
inference(equality_resolution,[],[f808]) ).
fof(f808,plain,
! [X2,X3,X10,X0,X1,X8,X9,X7,X4,X5] :
( sK45(X2,X3,X4,X5) != X5
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X7)
| X2 != X7
| ~ rpoint(X8)
| X3 != X8
| ~ rpoint(X9)
| X4 != X9
| ~ rpoint(X10)
| X5 != X10
| ~ ron(X2,X0)
| ~ ron(X3,X0)
| ~ ron(X4,X0)
| ~ rR(X4,X2,X3)
| ~ rR(X5,X2,X3) ),
inference(cnf_transformation,[],[f577]) ).
fof(f4990,plain,
spl57_250,
inference(avatar_split_clause,[],[f1353,f4988]) ).
fof(f4988,plain,
( spl57_250
<=> ! [X10,X7,X9,X8,X1] :
( sK45(X7,X8,X9,X10) != X9
| ~ rline(X1)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ ron(X7,X1)
| ~ ron(X8,X1)
| ~ ron(X9,X1)
| ~ rR(X9,X7,X8)
| ~ rR(X10,X7,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_250])]) ).
fof(f1353,plain,
! [X10,X1,X8,X9,X7] :
( sK45(X7,X8,X9,X10) != X9
| ~ rline(X1)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ ron(X7,X1)
| ~ ron(X8,X1)
| ~ ron(X9,X1)
| ~ rR(X9,X7,X8)
| ~ rR(X10,X7,X8) ),
inference(equality_resolution,[],[f1352]) ).
fof(f1352,plain,
! [X10,X1,X8,X9,X7,X5] :
( sK45(X7,X8,X9,X5) != X9
| ~ rline(X1)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| X5 != X10
| ~ ron(X7,X1)
| ~ ron(X8,X1)
| ~ ron(X9,X1)
| ~ rR(X9,X7,X8)
| ~ rR(X5,X7,X8) ),
inference(equality_resolution,[],[f1351]) ).
fof(f1351,plain,
! [X10,X1,X8,X9,X7,X4,X5] :
( sK45(X7,X8,X4,X5) != X4
| ~ rline(X1)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X4 != X9
| ~ rpoint(X10)
| X5 != X10
| ~ ron(X7,X1)
| ~ ron(X8,X1)
| ~ ron(X4,X1)
| ~ rR(X4,X7,X8)
| ~ rR(X5,X7,X8) ),
inference(equality_resolution,[],[f1350]) ).
fof(f1350,plain,
! [X3,X10,X1,X8,X9,X7,X4,X5] :
( sK45(X7,X3,X4,X5) != X4
| ~ rline(X1)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X3 != X8
| ~ rpoint(X9)
| X4 != X9
| ~ rpoint(X10)
| X5 != X10
| ~ ron(X7,X1)
| ~ ron(X3,X1)
| ~ ron(X4,X1)
| ~ rR(X4,X7,X3)
| ~ rR(X5,X7,X3) ),
inference(equality_resolution,[],[f1349]) ).
fof(f1349,plain,
! [X2,X3,X10,X1,X8,X9,X7,X4,X5] :
( sK45(X2,X3,X4,X5) != X4
| ~ rline(X1)
| ~ rpoint(X7)
| X2 != X7
| ~ rpoint(X8)
| X3 != X8
| ~ rpoint(X9)
| X4 != X9
| ~ rpoint(X10)
| X5 != X10
| ~ ron(X2,X1)
| ~ ron(X3,X1)
| ~ ron(X4,X1)
| ~ rR(X4,X2,X3)
| ~ rR(X5,X2,X3) ),
inference(equality_resolution,[],[f809]) ).
fof(f809,plain,
! [X2,X3,X10,X0,X1,X8,X9,X7,X4,X5] :
( sK45(X2,X3,X4,X5) != X4
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X7)
| X2 != X7
| ~ rpoint(X8)
| X3 != X8
| ~ rpoint(X9)
| X4 != X9
| ~ rpoint(X10)
| X5 != X10
| ~ ron(X2,X0)
| ~ ron(X3,X0)
| ~ ron(X4,X0)
| ~ rR(X4,X2,X3)
| ~ rR(X5,X2,X3) ),
inference(cnf_transformation,[],[f577]) ).
fof(f4944,plain,
spl57_249,
inference(avatar_split_clause,[],[f879,f4942]) ).
fof(f879,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X15,X5,X12,X13] :
( vf(X1,X0) != vf(X3,X2)
| vangle(X9,X8,X7) != vangle(X6,X5,X4)
| ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16) ),
inference(cnf_transformation,[],[f603]) ).
fof(f4850,plain,
spl57_248,
inference(avatar_split_clause,[],[f1577,f4848]) ).
fof(f4848,plain,
( spl57_248
<=> ! [X3,X7,X5,X1] :
( rR(vskolem1120(X1,X1,X3,X3,X5,X5,X7,X7),X1,X3)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X7)
| X1 = X3
| X5 = X7
| ~ rless(vf(X5,X7),vf(X1,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_248])]) ).
fof(f1577,plain,
! [X3,X1,X7,X5] :
( rR(vskolem1120(X1,X1,X3,X3,X5,X5,X7,X7),X1,X3)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X7)
| X1 = X3
| X5 = X7
| ~ rless(vf(X5,X7),vf(X1,X3)) ),
inference(equality_resolution,[],[f1576]) ).
fof(f1576,plain,
! [X3,X1,X6,X7,X5] :
( rR(vskolem1120(X1,X1,X3,X3,X5,X5,X6,X7),X1,X3)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X7)
| X6 != X7
| X1 = X3
| X5 = X6
| ~ rless(vf(X5,X6),vf(X1,X3)) ),
inference(equality_resolution,[],[f1575]) ).
fof(f1575,plain,
! [X3,X1,X6,X7,X4,X5] :
( rR(vskolem1120(X1,X1,X3,X3,X4,X5,X6,X7),X1,X3)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| X4 != X5
| ~ rpoint(X7)
| X6 != X7
| X1 = X3
| X4 = X6
| ~ rless(vf(X4,X6),vf(X1,X3)) ),
inference(equality_resolution,[],[f1574]) ).
fof(f1574,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( rR(vskolem1120(X1,X1,X2,X3,X4,X5,X6,X7),X1,X2)
| ~ rpoint(X1)
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rpoint(X7)
| X6 != X7
| X1 = X2
| X4 = X6
| ~ rless(vf(X4,X6),vf(X1,X2)) ),
inference(equality_resolution,[],[f862]) ).
fof(f862,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( rR(vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7),X0,X2)
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rpoint(X7)
| X6 != X7
| X0 = X2
| X4 = X6
| ~ rless(vf(X4,X6),vf(X0,X2)) ),
inference(cnf_transformation,[],[f456]) ).
fof(f456,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( rR(vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7),X0,X2)
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rpoint(X7)
| X6 != X7
| X0 = X2
| X4 = X6
| ~ rless(vf(X4,X6),vf(X0,X2)) ),
inference(flattening,[],[f455]) ).
fof(f455,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( rR(vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7),X0,X2)
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rpoint(X7)
| X6 != X7
| X0 = X2
| X4 = X6
| ~ rless(vf(X4,X6),vf(X0,X2)) ),
inference(ennf_transformation,[],[f237]) ).
fof(f237,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( rpoint(X1)
& X0 = X1
& rpoint(X3)
& X2 = X3
& rpoint(X5)
& X4 = X5
& rpoint(X7)
& X6 = X7
& X0 != X2
& X4 != X6
& rless(vf(X4,X6),vf(X0,X2)) )
=> rR(vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7),X0,X2) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X38,X39,X40,X41,X42,X43,X44,X45] :
( ( rpoint(X39)
& X38 = X39
& rpoint(X41)
& X40 = X41
& rpoint(X43)
& X42 = X43
& rpoint(X45)
& X44 = X45
& X38 != X40
& X42 != X44
& rless(vf(X42,X44),vf(X38,X40)) )
=> rR(vskolem1120(X38,X39,X40,X41,X42,X43,X44,X45),X38,X40) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(238), 0), 1)') ).
fof(f4846,plain,
spl57_247,
inference(avatar_split_clause,[],[f1557,f4844]) ).
fof(f1557,plain,
! [X3,X1,X7,X5] :
( vd684 = vangle(X3,X1,X5)
| ~ ron(X5,X7)
| rR(X1,X3,X5)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rline(X7)
| X1 = X3
| X1 = X5
| ~ ron(X1,X7)
| ~ ron(X3,X7) ),
inference(equality_resolution,[],[f1556]) ).
fof(f1556,plain,
! [X3,X1,X6,X7,X5] :
( vd684 = vangle(X3,X1,X5)
| ~ ron(X5,X6)
| rR(X1,X3,X5)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rline(X7)
| X6 != X7
| X1 = X3
| X1 = X5
| ~ ron(X1,X6)
| ~ ron(X3,X6) ),
inference(equality_resolution,[],[f1555]) ).
fof(f1555,plain,
! [X3,X1,X6,X7,X4,X5] :
( vd684 = vangle(X3,X1,X4)
| ~ ron(X4,X6)
| rR(X1,X3,X4)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| X4 != X5
| ~ rline(X7)
| X6 != X7
| X1 = X3
| X1 = X4
| ~ ron(X1,X6)
| ~ ron(X3,X6) ),
inference(equality_resolution,[],[f1554]) ).
fof(f1554,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( vd684 = vangle(X2,X1,X4)
| ~ ron(X4,X6)
| rR(X1,X2,X4)
| ~ rpoint(X1)
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rline(X7)
| X6 != X7
| X1 = X2
| X1 = X4
| ~ ron(X1,X6)
| ~ ron(X2,X6) ),
inference(equality_resolution,[],[f904]) ).
fof(f904,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( vd684 = vangle(X2,X0,X4)
| ~ ron(X4,X6)
| rR(X0,X2,X4)
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rline(X7)
| X6 != X7
| X0 = X2
| X0 = X4
| ~ ron(X0,X6)
| ~ ron(X2,X6) ),
inference(definition_unfolding,[],[f856,f612]) ).
fof(f612,plain,
v0 = vd684,
inference(cnf_transformation,[],[f58]) ).
fof(f58,axiom,
v0 = vd684,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(axiom(137), 2)') ).
fof(f856,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( v0 = vangle(X2,X0,X4)
| ~ ron(X4,X6)
| rR(X0,X2,X4)
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rline(X7)
| X6 != X7
| X0 = X2
| X0 = X4
| ~ ron(X0,X6)
| ~ ron(X2,X6) ),
inference(cnf_transformation,[],[f599]) ).
fof(f599,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ( ( ron(X4,X6)
& ~ rR(X0,X2,X4) )
| v0 != vangle(X2,X0,X4) )
& ( v0 = vangle(X2,X0,X4)
| ~ ron(X4,X6)
| rR(X0,X2,X4) ) )
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rline(X7)
| X6 != X7
| X0 = X2
| X0 = X4
| ~ ron(X0,X6)
| ~ ron(X2,X6) ),
inference(flattening,[],[f598]) ).
fof(f598,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ( ( ron(X4,X6)
& ~ rR(X0,X2,X4) )
| v0 != vangle(X2,X0,X4) )
& ( v0 = vangle(X2,X0,X4)
| ~ ron(X4,X6)
| rR(X0,X2,X4) ) )
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rline(X7)
| X6 != X7
| X0 = X2
| X0 = X4
| ~ ron(X0,X6)
| ~ ron(X2,X6) ),
inference(nnf_transformation,[],[f448]) ).
fof(f448,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ( ron(X4,X6)
& ~ rR(X0,X2,X4) )
<=> v0 = vangle(X2,X0,X4) )
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rline(X7)
| X6 != X7
| X0 = X2
| X0 = X4
| ~ ron(X0,X6)
| ~ ron(X2,X6) ),
inference(flattening,[],[f447]) ).
fof(f447,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ( ron(X4,X6)
& ~ rR(X0,X2,X4) )
<=> v0 = vangle(X2,X0,X4) )
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rline(X7)
| X6 != X7
| X0 = X2
| X0 = X4
| ~ ron(X0,X6)
| ~ ron(X2,X6) ),
inference(ennf_transformation,[],[f233]) ).
fof(f233,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( rpoint(X1)
& X0 = X1
& rpoint(X3)
& X2 = X3
& rpoint(X5)
& X4 = X5
& rline(X7)
& X6 = X7
& X0 != X2
& X0 != X4
& ron(X0,X6)
& ron(X2,X6) )
=> ( ( ron(X4,X6)
& ~ rR(X0,X2,X4) )
<=> v0 = vangle(X2,X0,X4) ) ),
inference(rectify,[],[f30]) ).
fof(f30,axiom,
! [X82,X83,X84,X85,X86,X87,X88,X89] :
( ( rpoint(X83)
& X82 = X83
& rpoint(X85)
& X84 = X85
& rpoint(X87)
& X86 = X87
& rline(X89)
& X88 = X89
& X82 != X84
& X82 != X86
& ron(X82,X88)
& ron(X84,X88) )
=> ( ( ron(X86,X88)
& ~ rR(X82,X84,X86) )
<=> vangle(X84,X82,X86) = v0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(188), 0), imp(cond(axiom(188), 0)))') ).
fof(f4842,plain,
spl57_246,
inference(avatar_split_clause,[],[f1343,f4840]) ).
fof(f4840,plain,
( spl57_246
<=> ! [X10,X7,X9,X8,X1] :
( rpoint(sK45(X7,X8,X9,X10))
| ~ rline(X1)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ ron(X7,X1)
| ~ ron(X8,X1)
| ~ ron(X9,X1)
| ~ rR(X9,X7,X8)
| ~ rR(X10,X7,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_246])]) ).
fof(f1343,plain,
! [X10,X1,X8,X9,X7] :
( rpoint(sK45(X7,X8,X9,X10))
| ~ rline(X1)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ ron(X7,X1)
| ~ ron(X8,X1)
| ~ ron(X9,X1)
| ~ rR(X9,X7,X8)
| ~ rR(X10,X7,X8) ),
inference(equality_resolution,[],[f1342]) ).
fof(f1342,plain,
! [X10,X1,X8,X9,X7,X5] :
( rpoint(sK45(X7,X8,X9,X5))
| ~ rline(X1)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| X5 != X10
| ~ ron(X7,X1)
| ~ ron(X8,X1)
| ~ ron(X9,X1)
| ~ rR(X9,X7,X8)
| ~ rR(X5,X7,X8) ),
inference(equality_resolution,[],[f1341]) ).
fof(f1341,plain,
! [X10,X1,X8,X9,X7,X4,X5] :
( rpoint(sK45(X7,X8,X4,X5))
| ~ rline(X1)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X4 != X9
| ~ rpoint(X10)
| X5 != X10
| ~ ron(X7,X1)
| ~ ron(X8,X1)
| ~ ron(X4,X1)
| ~ rR(X4,X7,X8)
| ~ rR(X5,X7,X8) ),
inference(equality_resolution,[],[f1340]) ).
fof(f1340,plain,
! [X3,X10,X1,X8,X9,X7,X4,X5] :
( rpoint(sK45(X7,X3,X4,X5))
| ~ rline(X1)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X3 != X8
| ~ rpoint(X9)
| X4 != X9
| ~ rpoint(X10)
| X5 != X10
| ~ ron(X7,X1)
| ~ ron(X3,X1)
| ~ ron(X4,X1)
| ~ rR(X4,X7,X3)
| ~ rR(X5,X7,X3) ),
inference(equality_resolution,[],[f1339]) ).
fof(f1339,plain,
! [X2,X3,X10,X1,X8,X9,X7,X4,X5] :
( rpoint(sK45(X2,X3,X4,X5))
| ~ rline(X1)
| ~ rpoint(X7)
| X2 != X7
| ~ rpoint(X8)
| X3 != X8
| ~ rpoint(X9)
| X4 != X9
| ~ rpoint(X10)
| X5 != X10
| ~ ron(X2,X1)
| ~ ron(X3,X1)
| ~ ron(X4,X1)
| ~ rR(X4,X2,X3)
| ~ rR(X5,X2,X3) ),
inference(equality_resolution,[],[f811]) ).
fof(f811,plain,
! [X2,X3,X10,X0,X1,X8,X9,X7,X4,X5] :
( rpoint(sK45(X2,X3,X4,X5))
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X7)
| X2 != X7
| ~ rpoint(X8)
| X3 != X8
| ~ rpoint(X9)
| X4 != X9
| ~ rpoint(X10)
| X5 != X10
| ~ ron(X2,X0)
| ~ ron(X3,X0)
| ~ ron(X4,X0)
| ~ rR(X4,X2,X3)
| ~ rR(X5,X2,X3) ),
inference(cnf_transformation,[],[f577]) ).
fof(f4828,plain,
( ~ spl57_9
| spl57_245
| ~ spl57_1
| ~ spl57_3
| ~ spl57_176 ),
inference(avatar_split_clause,[],[f2938,f2836,f1647,f1637,f4826,f1677]) ).
fof(f4826,plain,
( spl57_245
<=> ! [X0] :
( ~ rpoint(X0)
| sK8 = X0
| rR(sK8,X0,sK24(X0,sK8))
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_245])]) ).
fof(f2938,plain,
( ! [X0] :
( ~ rline(sK5)
| ~ rpoint(X0)
| ~ rpoint(sK8)
| ~ ron(X0,sK5)
| rR(sK8,X0,sK24(X0,sK8))
| sK8 = X0 )
| ~ spl57_3
| ~ spl57_176 ),
inference(resolution,[],[f2837,f1649]) ).
fof(f4824,plain,
spl57_244,
inference(avatar_split_clause,[],[f1475,f4822]) ).
fof(f4822,plain,
( spl57_244
<=> ! [X5,X3,X4,X9,X6,X8] :
( rS(sK50(X8,X9,X3,X6),X6,X3)
| ~ rcircle(X8)
| ~ rcircle(X9)
| ~ rline(X3)
| ~ rintersect(X8,X9)
| ~ rcenter(X4,X8)
| ~ rcenter(X5,X9)
| ~ ron(X4,X3)
| ~ ron(X5,X3)
| ron(X6,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_244])]) ).
fof(f1475,plain,
! [X3,X8,X6,X9,X4,X5] :
( rS(sK50(X8,X9,X3,X6),X6,X3)
| ~ rcircle(X8)
| ~ rcircle(X9)
| ~ rline(X3)
| ~ rintersect(X8,X9)
| ~ rcenter(X4,X8)
| ~ rcenter(X5,X9)
| ~ ron(X4,X3)
| ~ ron(X5,X3)
| ron(X6,X3) ),
inference(equality_resolution,[],[f1474]) ).
fof(f1474,plain,
! [X2,X3,X8,X6,X9,X4,X5] :
( rS(sK50(X8,X9,X2,X6),X6,X2)
| ~ rcircle(X8)
| ~ rcircle(X9)
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X8,X9)
| ~ rcenter(X4,X8)
| ~ rcenter(X5,X9)
| ~ ron(X4,X2)
| ~ ron(X5,X2)
| ron(X6,X2) ),
inference(equality_resolution,[],[f1473]) ).
fof(f1473,plain,
! [X2,X3,X1,X8,X6,X9,X4,X5] :
( rS(sK50(X8,X1,X2,X6),X6,X2)
| ~ rcircle(X8)
| ~ rcircle(X9)
| X1 != X9
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X8,X1)
| ~ rcenter(X4,X8)
| ~ rcenter(X5,X1)
| ~ ron(X4,X2)
| ~ ron(X5,X2)
| ron(X6,X2) ),
inference(equality_resolution,[],[f832]) ).
fof(f832,plain,
! [X2,X3,X0,X1,X8,X6,X9,X4,X5] :
( rS(sK50(X0,X1,X2,X6),X6,X2)
| ~ rcircle(X8)
| X0 != X8
| ~ rcircle(X9)
| X1 != X9
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X0,X1)
| ~ rcenter(X4,X0)
| ~ rcenter(X5,X1)
| ~ ron(X4,X2)
| ~ ron(X5,X2)
| ron(X6,X2) ),
inference(cnf_transformation,[],[f589]) ).
fof(f589,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( rpoint(sK50(X0,X1,X2,X6))
& ron(sK50(X0,X1,X2,X6),X0)
& ron(sK50(X0,X1,X2,X6),X1)
& rS(sK50(X0,X1,X2,X6),X6,X2) )
| ! [X8] :
( ~ rcircle(X8)
| X0 != X8 )
| ! [X9] :
( ~ rcircle(X9)
| X1 != X9 )
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X0,X1)
| ~ rcenter(X4,X0)
| ~ rcenter(X5,X1)
| ~ ron(X4,X2)
| ~ ron(X5,X2)
| ron(X6,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK50])],[f587,f588]) ).
fof(f588,plain,
! [X0,X1,X2,X6] :
( ? [X7] :
( rpoint(X7)
& ron(X7,X0)
& ron(X7,X1)
& rS(X7,X6,X2) )
=> ( rpoint(sK50(X0,X1,X2,X6))
& ron(sK50(X0,X1,X2,X6),X0)
& ron(sK50(X0,X1,X2,X6),X1)
& rS(sK50(X0,X1,X2,X6),X6,X2) ) ),
introduced(choice_axiom,[]) ).
fof(f587,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ? [X7] :
( rpoint(X7)
& ron(X7,X0)
& ron(X7,X1)
& rS(X7,X6,X2) )
| ! [X8] :
( ~ rcircle(X8)
| X0 != X8 )
| ! [X9] :
( ~ rcircle(X9)
| X1 != X9 )
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X0,X1)
| ~ rcenter(X4,X0)
| ~ rcenter(X5,X1)
| ~ ron(X4,X2)
| ~ ron(X5,X2)
| ron(X6,X2) ),
inference(rectify,[],[f434]) ).
fof(f434,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ? [X9] :
( rpoint(X9)
& ron(X9,X0)
& ron(X9,X1)
& rS(X9,X6,X2) )
| ! [X7] :
( ~ rcircle(X7)
| X0 != X7 )
| ! [X8] :
( ~ rcircle(X8)
| X1 != X8 )
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X0,X1)
| ~ rcenter(X4,X0)
| ~ rcenter(X5,X1)
| ~ ron(X4,X2)
| ~ ron(X5,X2)
| ron(X6,X2) ),
inference(flattening,[],[f433]) ).
fof(f433,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ? [X9] :
( rpoint(X9)
& ron(X9,X0)
& ron(X9,X1)
& rS(X9,X6,X2) )
| ! [X7] :
( ~ rcircle(X7)
| X0 != X7 )
| ! [X8] :
( ~ rcircle(X8)
| X1 != X8 )
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X0,X1)
| ~ rcenter(X4,X0)
| ~ rcenter(X5,X1)
| ~ ron(X4,X2)
| ~ ron(X5,X2)
| ron(X6,X2) ),
inference(ennf_transformation,[],[f226]) ).
fof(f226,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ? [X7] :
( rcircle(X7)
& X0 = X7 )
& ? [X8] :
( rcircle(X8)
& X1 = X8 )
& rline(X3)
& X2 = X3
& rintersect(X0,X1)
& rcenter(X4,X0)
& rcenter(X5,X1)
& ron(X4,X2)
& ron(X5,X2)
& ~ ron(X6,X2) )
=> ? [X9] :
( rpoint(X9)
& ron(X9,X0)
& ron(X9,X1)
& rS(X9,X6,X2) ) ),
inference(rectify,[],[f90]) ).
fof(f90,axiom,
! [X524,X525,X526,X527,X528,X529,X530] :
( ( ? [X532] :
( rcircle(X532)
& X524 = X532 )
& ? [X531] :
( rcircle(X531)
& X525 = X531 )
& rline(X527)
& X526 = X527
& rintersect(X524,X525)
& rcenter(X528,X524)
& rcenter(X529,X525)
& ron(X528,X526)
& ron(X529,X526)
& ~ ron(X530,X526) )
=> ? [X533] :
( rpoint(X533)
& ron(X533,X524)
& ron(X533,X525)
& rS(X533,X530,X526) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(69), 0), imp(cond(axiom(69), 0)))') ).
fof(f4820,plain,
spl57_243,
inference(avatar_split_clause,[],[f1463,f4818]) ).
fof(f4818,plain,
( spl57_243
<=> ! [X5,X3,X4,X9,X6,X8] :
( ~ rS(sK49(X8,X9,X3,X6),X6,X3)
| ~ rcircle(X8)
| ~ rcircle(X9)
| ~ rline(X3)
| ~ rintersect(X8,X9)
| ~ rcenter(X4,X8)
| ~ rcenter(X5,X9)
| ~ ron(X4,X3)
| ~ ron(X5,X3)
| ron(X6,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_243])]) ).
fof(f1463,plain,
! [X3,X8,X6,X9,X4,X5] :
( ~ rS(sK49(X8,X9,X3,X6),X6,X3)
| ~ rcircle(X8)
| ~ rcircle(X9)
| ~ rline(X3)
| ~ rintersect(X8,X9)
| ~ rcenter(X4,X8)
| ~ rcenter(X5,X9)
| ~ ron(X4,X3)
| ~ ron(X5,X3)
| ron(X6,X3) ),
inference(equality_resolution,[],[f1462]) ).
fof(f1462,plain,
! [X2,X3,X8,X6,X9,X4,X5] :
( ~ rS(sK49(X8,X9,X2,X6),X6,X2)
| ~ rcircle(X8)
| ~ rcircle(X9)
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X8,X9)
| ~ rcenter(X4,X8)
| ~ rcenter(X5,X9)
| ~ ron(X4,X2)
| ~ ron(X5,X2)
| ron(X6,X2) ),
inference(equality_resolution,[],[f1461]) ).
fof(f1461,plain,
! [X2,X3,X1,X8,X6,X9,X4,X5] :
( ~ rS(sK49(X8,X1,X2,X6),X6,X2)
| ~ rcircle(X8)
| ~ rcircle(X9)
| X1 != X9
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X8,X1)
| ~ rcenter(X4,X8)
| ~ rcenter(X5,X1)
| ~ ron(X4,X2)
| ~ ron(X5,X2)
| ron(X6,X2) ),
inference(equality_resolution,[],[f828]) ).
fof(f828,plain,
! [X2,X3,X0,X1,X8,X6,X9,X4,X5] :
( ~ rS(sK49(X0,X1,X2,X6),X6,X2)
| ~ rcircle(X8)
| X0 != X8
| ~ rcircle(X9)
| X1 != X9
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X0,X1)
| ~ rcenter(X4,X0)
| ~ rcenter(X5,X1)
| ~ ron(X4,X2)
| ~ ron(X5,X2)
| ron(X6,X2) ),
inference(cnf_transformation,[],[f586]) ).
fof(f586,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( rpoint(sK49(X0,X1,X2,X6))
& ron(sK49(X0,X1,X2,X6),X0)
& ron(sK49(X0,X1,X2,X6),X1)
& ~ rS(sK49(X0,X1,X2,X6),X6,X2) )
| ! [X8] :
( ~ rcircle(X8)
| X0 != X8 )
| ! [X9] :
( ~ rcircle(X9)
| X1 != X9 )
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X0,X1)
| ~ rcenter(X4,X0)
| ~ rcenter(X5,X1)
| ~ ron(X4,X2)
| ~ ron(X5,X2)
| ron(X6,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK49])],[f584,f585]) ).
fof(f585,plain,
! [X0,X1,X2,X6] :
( ? [X7] :
( rpoint(X7)
& ron(X7,X0)
& ron(X7,X1)
& ~ rS(X7,X6,X2) )
=> ( rpoint(sK49(X0,X1,X2,X6))
& ron(sK49(X0,X1,X2,X6),X0)
& ron(sK49(X0,X1,X2,X6),X1)
& ~ rS(sK49(X0,X1,X2,X6),X6,X2) ) ),
introduced(choice_axiom,[]) ).
fof(f584,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ? [X7] :
( rpoint(X7)
& ron(X7,X0)
& ron(X7,X1)
& ~ rS(X7,X6,X2) )
| ! [X8] :
( ~ rcircle(X8)
| X0 != X8 )
| ! [X9] :
( ~ rcircle(X9)
| X1 != X9 )
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X0,X1)
| ~ rcenter(X4,X0)
| ~ rcenter(X5,X1)
| ~ ron(X4,X2)
| ~ ron(X5,X2)
| ron(X6,X2) ),
inference(rectify,[],[f432]) ).
fof(f432,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ? [X9] :
( rpoint(X9)
& ron(X9,X0)
& ron(X9,X1)
& ~ rS(X9,X6,X2) )
| ! [X7] :
( ~ rcircle(X7)
| X0 != X7 )
| ! [X8] :
( ~ rcircle(X8)
| X1 != X8 )
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X0,X1)
| ~ rcenter(X4,X0)
| ~ rcenter(X5,X1)
| ~ ron(X4,X2)
| ~ ron(X5,X2)
| ron(X6,X2) ),
inference(flattening,[],[f431]) ).
fof(f431,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ? [X9] :
( rpoint(X9)
& ron(X9,X0)
& ron(X9,X1)
& ~ rS(X9,X6,X2) )
| ! [X7] :
( ~ rcircle(X7)
| X0 != X7 )
| ! [X8] :
( ~ rcircle(X8)
| X1 != X8 )
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X0,X1)
| ~ rcenter(X4,X0)
| ~ rcenter(X5,X1)
| ~ ron(X4,X2)
| ~ ron(X5,X2)
| ron(X6,X2) ),
inference(ennf_transformation,[],[f225]) ).
fof(f225,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ? [X7] :
( rcircle(X7)
& X0 = X7 )
& ? [X8] :
( rcircle(X8)
& X1 = X8 )
& rline(X3)
& X2 = X3
& rintersect(X0,X1)
& rcenter(X4,X0)
& rcenter(X5,X1)
& ron(X4,X2)
& ron(X5,X2)
& ~ ron(X6,X2) )
=> ? [X9] :
( rpoint(X9)
& ron(X9,X0)
& ron(X9,X1)
& ~ rS(X9,X6,X2) ) ),
inference(rectify,[],[f89]) ).
fof(f89,axiom,
! [X514,X515,X516,X517,X518,X519,X520] :
( ( ? [X522] :
( rcircle(X522)
& X514 = X522 )
& ? [X521] :
( rcircle(X521)
& X515 = X521 )
& rline(X517)
& X516 = X517
& rintersect(X514,X515)
& rcenter(X518,X514)
& rcenter(X519,X515)
& ron(X518,X516)
& ron(X519,X516)
& ~ ron(X520,X516) )
=> ? [X523] :
( rpoint(X523)
& ron(X523,X514)
& ron(X523,X515)
& ~ rS(X523,X520,X516) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(71), 0), imp(cond(axiom(71), 0)))') ).
fof(f4816,plain,
spl57_242,
inference(avatar_split_clause,[],[f1285,f4814]) ).
fof(f1285,plain,
! [X8,X6,X9,X7,X5] :
( vperp = vangle(X6,X8,X9)
| vangle(X9,X8,X7) != vangle(X6,X8,X9)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rline(X5)
| ~ rR(X8,X6,X7)
| ron(X9,X5) ),
inference(equality_resolution,[],[f1284]) ).
fof(f1284,plain,
! [X8,X6,X9,X7,X4,X5] :
( vperp = vangle(X6,X8,X9)
| vangle(X9,X8,X7) != vangle(X6,X8,X9)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rline(X5)
| X4 != X5
| ~ rR(X8,X6,X7)
| ron(X9,X4) ),
inference(equality_resolution,[],[f1283]) ).
fof(f1283,plain,
! [X3,X8,X6,X9,X7,X4,X5] :
( vperp = vangle(X6,X8,X3)
| vangle(X6,X8,X3) != vangle(X3,X8,X7)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X3 != X9
| ~ rline(X5)
| X4 != X5
| ~ rR(X8,X6,X7)
| ron(X3,X4) ),
inference(equality_resolution,[],[f1282]) ).
fof(f1282,plain,
! [X2,X3,X8,X6,X9,X7,X4,X5] :
( vperp = vangle(X6,X2,X3)
| vangle(X6,X2,X3) != vangle(X3,X2,X7)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X2 != X8
| ~ rpoint(X9)
| X3 != X9
| ~ rline(X5)
| X4 != X5
| ~ rR(X2,X6,X7)
| ron(X3,X4) ),
inference(equality_resolution,[],[f1281]) ).
fof(f1281,plain,
! [X2,X3,X1,X8,X6,X9,X7,X4,X5] :
( vperp = vangle(X6,X2,X3)
| vangle(X3,X2,X1) != vangle(X6,X2,X3)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X1 != X7
| ~ rpoint(X8)
| X2 != X8
| ~ rpoint(X9)
| X3 != X9
| ~ rline(X5)
| X4 != X5
| ~ rR(X2,X6,X1)
| ron(X3,X4) ),
inference(equality_resolution,[],[f789]) ).
fof(f789,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( vperp = vangle(X0,X2,X3)
| vangle(X0,X2,X3) != vangle(X3,X2,X1)
| ~ rpoint(X6)
| X0 != X6
| ~ rpoint(X7)
| X1 != X7
| ~ rpoint(X8)
| X2 != X8
| ~ rpoint(X9)
| X3 != X9
| ~ rline(X5)
| X4 != X5
| ~ rR(X2,X0,X1)
| ron(X3,X4) ),
inference(cnf_transformation,[],[f566]) ).
fof(f566,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ( vangle(X0,X2,X3) = vangle(X3,X2,X1)
| vperp != vangle(X0,X2,X3) )
& ( vperp = vangle(X0,X2,X3)
| vangle(X0,X2,X3) != vangle(X3,X2,X1) ) )
| ! [X6] :
( ~ rpoint(X6)
| X0 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X1 != X7 )
| ! [X8] :
( ~ rpoint(X8)
| X2 != X8 )
| ! [X9] :
( ~ rpoint(X9)
| X3 != X9 )
| ~ rline(X5)
| X4 != X5
| ~ rR(X2,X0,X1)
| ron(X3,X4) ),
inference(nnf_transformation,[],[f398]) ).
fof(f398,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( vangle(X0,X2,X3) = vangle(X3,X2,X1)
<=> vperp = vangle(X0,X2,X3) )
| ! [X6] :
( ~ rpoint(X6)
| X0 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X1 != X7 )
| ! [X8] :
( ~ rpoint(X8)
| X2 != X8 )
| ! [X9] :
( ~ rpoint(X9)
| X3 != X9 )
| ~ rline(X5)
| X4 != X5
| ~ rR(X2,X0,X1)
| ron(X3,X4) ),
inference(flattening,[],[f397]) ).
fof(f397,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( vangle(X0,X2,X3) = vangle(X3,X2,X1)
<=> vperp = vangle(X0,X2,X3) )
| ! [X6] :
( ~ rpoint(X6)
| X0 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X1 != X7 )
| ! [X8] :
( ~ rpoint(X8)
| X2 != X8 )
| ! [X9] :
( ~ rpoint(X9)
| X3 != X9 )
| ~ rline(X5)
| X4 != X5
| ~ rR(X2,X0,X1)
| ron(X3,X4) ),
inference(ennf_transformation,[],[f207]) ).
fof(f207,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ? [X6] :
( rpoint(X6)
& X0 = X6 )
& ? [X7] :
( rpoint(X7)
& X1 = X7 )
& ? [X8] :
( rpoint(X8)
& X2 = X8 )
& ? [X9] :
( rpoint(X9)
& X3 = X9 )
& rline(X5)
& X4 = X5
& rR(X2,X0,X1)
& ~ ron(X3,X4) )
=> ( vangle(X0,X2,X3) = vangle(X3,X2,X1)
<=> vperp = vangle(X0,X2,X3) ) ),
inference(rectify,[],[f117]) ).
fof(f117,axiom,
! [X699,X700,X701,X702,X703,X704] :
( ( ? [X708] :
( rpoint(X708)
& X699 = X708 )
& ? [X707] :
( rpoint(X707)
& X700 = X707 )
& ? [X706] :
( rpoint(X706)
& X701 = X706 )
& ? [X705] :
( rpoint(X705)
& X702 = X705 )
& rline(X704)
& X703 = X704
& rR(X701,X699,X700)
& ~ ron(X702,X703) )
=> ( vangle(X699,X701,X702) = vangle(X702,X701,X700)
<=> vangle(X699,X701,X702) = vperp ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(192), 0), imp(cond(axiom(192), 0)))') ).
fof(f4747,plain,
spl57_241,
inference(avatar_split_clause,[],[f1573,f4745]) ).
fof(f4745,plain,
( spl57_241
<=> ! [X3,X7,X5,X1] :
( rpoint(vskolem1120(X1,X1,X3,X3,X5,X5,X7,X7))
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X7)
| X1 = X3
| X5 = X7
| ~ rless(vf(X5,X7),vf(X1,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_241])]) ).
fof(f1573,plain,
! [X3,X1,X7,X5] :
( rpoint(vskolem1120(X1,X1,X3,X3,X5,X5,X7,X7))
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X7)
| X1 = X3
| X5 = X7
| ~ rless(vf(X5,X7),vf(X1,X3)) ),
inference(equality_resolution,[],[f1572]) ).
fof(f1572,plain,
! [X3,X1,X6,X7,X5] :
( rpoint(vskolem1120(X1,X1,X3,X3,X5,X5,X6,X7))
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X7)
| X6 != X7
| X1 = X3
| X5 = X6
| ~ rless(vf(X5,X6),vf(X1,X3)) ),
inference(equality_resolution,[],[f1571]) ).
fof(f1571,plain,
! [X3,X1,X6,X7,X4,X5] :
( rpoint(vskolem1120(X1,X1,X3,X3,X4,X5,X6,X7))
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| X4 != X5
| ~ rpoint(X7)
| X6 != X7
| X1 = X3
| X4 = X6
| ~ rless(vf(X4,X6),vf(X1,X3)) ),
inference(equality_resolution,[],[f1570]) ).
fof(f1570,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( rpoint(vskolem1120(X1,X1,X2,X3,X4,X5,X6,X7))
| ~ rpoint(X1)
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rpoint(X7)
| X6 != X7
| X1 = X2
| X4 = X6
| ~ rless(vf(X4,X6),vf(X1,X2)) ),
inference(equality_resolution,[],[f861]) ).
fof(f861,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( rpoint(vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7))
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rpoint(X7)
| X6 != X7
| X0 = X2
| X4 = X6
| ~ rless(vf(X4,X6),vf(X0,X2)) ),
inference(cnf_transformation,[],[f454]) ).
fof(f454,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( rpoint(vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7))
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rpoint(X7)
| X6 != X7
| X0 = X2
| X4 = X6
| ~ rless(vf(X4,X6),vf(X0,X2)) ),
inference(flattening,[],[f453]) ).
fof(f453,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( rpoint(vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7))
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rpoint(X7)
| X6 != X7
| X0 = X2
| X4 = X6
| ~ rless(vf(X4,X6),vf(X0,X2)) ),
inference(ennf_transformation,[],[f236]) ).
fof(f236,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( rpoint(X1)
& X0 = X1
& rpoint(X3)
& X2 = X3
& rpoint(X5)
& X4 = X5
& rpoint(X7)
& X6 = X7
& X0 != X2
& X4 != X6
& rless(vf(X4,X6),vf(X0,X2)) )
=> rpoint(vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7)) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X38,X39,X40,X41,X42,X43,X44,X45] :
( ( rpoint(X39)
& X38 = X39
& rpoint(X41)
& X40 = X41
& rpoint(X43)
& X42 = X43
& rpoint(X45)
& X44 = X45
& X38 != X40
& X42 != X44
& rless(vf(X42,X44),vf(X38,X40)) )
=> rpoint(vskolem1120(X38,X39,X40,X41,X42,X43,X44,X45)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(238), 0), 2)') ).
fof(f4743,plain,
spl57_240,
inference(avatar_split_clause,[],[f1545,f4741]) ).
fof(f4741,plain,
( spl57_240
<=> ! [X3,X7,X5,X1] :
( rR(sK53(X1,X3,X5,X7),X5,X7)
| ~ rcircle(X1)
| ~ rline(X3)
| ~ rpoint(X5)
| ~ rinside(X5,X1)
| ~ ron(X5,X3)
| ~ rpoint(X7)
| rinside(X7,X1)
| ron(X7,X1)
| ~ ron(X7,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_240])]) ).
fof(f1545,plain,
! [X3,X1,X7,X5] :
( rR(sK53(X1,X3,X5,X7),X5,X7)
| ~ rcircle(X1)
| ~ rline(X3)
| ~ rpoint(X5)
| ~ rinside(X5,X1)
| ~ ron(X5,X3)
| ~ rpoint(X7)
| rinside(X7,X1)
| ron(X7,X1)
| ~ ron(X7,X3) ),
inference(equality_resolution,[],[f1544]) ).
fof(f1544,plain,
! [X3,X1,X6,X7,X5] :
( rR(sK53(X1,X3,X5,X6),X5,X6)
| ~ rcircle(X1)
| ~ rline(X3)
| ~ rpoint(X5)
| ~ rinside(X5,X1)
| ~ ron(X5,X3)
| ~ rpoint(X7)
| X6 != X7
| rinside(X6,X1)
| ron(X6,X1)
| ~ ron(X6,X3) ),
inference(equality_resolution,[],[f1543]) ).
fof(f1543,plain,
! [X3,X1,X6,X7,X4,X5] :
( rR(sK53(X1,X3,X4,X6),X4,X6)
| ~ rcircle(X1)
| ~ rline(X3)
| ~ rpoint(X5)
| X4 != X5
| ~ rinside(X4,X1)
| ~ ron(X4,X3)
| ~ rpoint(X7)
| X6 != X7
| rinside(X6,X1)
| ron(X6,X1)
| ~ ron(X6,X3) ),
inference(equality_resolution,[],[f1542]) ).
fof(f1542,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( rR(sK53(X1,X2,X4,X6),X4,X6)
| ~ rcircle(X1)
| ~ rline(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rinside(X4,X1)
| ~ ron(X4,X2)
| ~ rpoint(X7)
| X6 != X7
| rinside(X6,X1)
| ron(X6,X1)
| ~ ron(X6,X2) ),
inference(equality_resolution,[],[f852]) ).
fof(f852,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( rR(sK53(X0,X2,X4,X6),X4,X6)
| ~ rcircle(X1)
| X0 != X1
| ~ rline(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rinside(X4,X0)
| ~ ron(X4,X2)
| ~ rpoint(X7)
| X6 != X7
| rinside(X6,X0)
| ron(X6,X0)
| ~ ron(X6,X2) ),
inference(cnf_transformation,[],[f597]) ).
fof(f597,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( rpoint(sK53(X0,X2,X4,X6))
& ron(sK53(X0,X2,X4,X6),X2)
& ron(sK53(X0,X2,X4,X6),X0)
& rR(sK53(X0,X2,X4,X6),X4,X6) )
| ~ rcircle(X1)
| X0 != X1
| ~ rline(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rinside(X4,X0)
| ~ ron(X4,X2)
| ~ rpoint(X7)
| X6 != X7
| rinside(X6,X0)
| ron(X6,X0)
| ~ ron(X6,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK53])],[f446,f596]) ).
fof(f596,plain,
! [X0,X2,X4,X6] :
( ? [X8] :
( rpoint(X8)
& ron(X8,X2)
& ron(X8,X0)
& rR(X8,X4,X6) )
=> ( rpoint(sK53(X0,X2,X4,X6))
& ron(sK53(X0,X2,X4,X6),X2)
& ron(sK53(X0,X2,X4,X6),X0)
& rR(sK53(X0,X2,X4,X6),X4,X6) ) ),
introduced(choice_axiom,[]) ).
fof(f446,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ? [X8] :
( rpoint(X8)
& ron(X8,X2)
& ron(X8,X0)
& rR(X8,X4,X6) )
| ~ rcircle(X1)
| X0 != X1
| ~ rline(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rinside(X4,X0)
| ~ ron(X4,X2)
| ~ rpoint(X7)
| X6 != X7
| rinside(X6,X0)
| ron(X6,X0)
| ~ ron(X6,X2) ),
inference(flattening,[],[f445]) ).
fof(f445,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ? [X8] :
( rpoint(X8)
& ron(X8,X2)
& ron(X8,X0)
& rR(X8,X4,X6) )
| ~ rcircle(X1)
| X0 != X1
| ~ rline(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rinside(X4,X0)
| ~ ron(X4,X2)
| ~ rpoint(X7)
| X6 != X7
| rinside(X6,X0)
| ron(X6,X0)
| ~ ron(X6,X2) ),
inference(ennf_transformation,[],[f232]) ).
fof(f232,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( rcircle(X1)
& X0 = X1
& rline(X3)
& X2 = X3
& rpoint(X5)
& X4 = X5
& rinside(X4,X0)
& ron(X4,X2)
& rpoint(X7)
& X6 = X7
& ~ rinside(X6,X0)
& ~ ron(X6,X0)
& ron(X6,X2) )
=> ? [X8] :
( rpoint(X8)
& ron(X8,X2)
& ron(X8,X0)
& rR(X8,X4,X6) ) ),
inference(rectify,[],[f52]) ).
fof(f52,axiom,
! [X245,X246,X247,X248,X249,X250,X251,X252] :
( ( rcircle(X246)
& X245 = X246
& rline(X248)
& X247 = X248
& rpoint(X250)
& X249 = X250
& rinside(X249,X245)
& ron(X249,X247)
& rpoint(X252)
& X251 = X252
& ~ rinside(X251,X245)
& ~ ron(X251,X245)
& ron(X251,X247) )
=> ? [X253] :
( rpoint(X253)
& ron(X253,X247)
& ron(X253,X245)
& rR(X253,X249,X251) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(61), 0), imp(cond(axiom(61), 0)))') ).
fof(f4739,plain,
spl57_239,
inference(avatar_split_clause,[],[f1472,f4737]) ).
fof(f4737,plain,
( spl57_239
<=> ! [X5,X3,X4,X9,X6,X8] :
( ron(sK50(X8,X9,X3,X6),X9)
| ~ rcircle(X8)
| ~ rcircle(X9)
| ~ rline(X3)
| ~ rintersect(X8,X9)
| ~ rcenter(X4,X8)
| ~ rcenter(X5,X9)
| ~ ron(X4,X3)
| ~ ron(X5,X3)
| ron(X6,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_239])]) ).
fof(f1472,plain,
! [X3,X8,X6,X9,X4,X5] :
( ron(sK50(X8,X9,X3,X6),X9)
| ~ rcircle(X8)
| ~ rcircle(X9)
| ~ rline(X3)
| ~ rintersect(X8,X9)
| ~ rcenter(X4,X8)
| ~ rcenter(X5,X9)
| ~ ron(X4,X3)
| ~ ron(X5,X3)
| ron(X6,X3) ),
inference(equality_resolution,[],[f1471]) ).
fof(f1471,plain,
! [X2,X3,X8,X6,X9,X4,X5] :
( ron(sK50(X8,X9,X2,X6),X9)
| ~ rcircle(X8)
| ~ rcircle(X9)
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X8,X9)
| ~ rcenter(X4,X8)
| ~ rcenter(X5,X9)
| ~ ron(X4,X2)
| ~ ron(X5,X2)
| ron(X6,X2) ),
inference(equality_resolution,[],[f1470]) ).
fof(f1470,plain,
! [X2,X3,X1,X8,X6,X9,X4,X5] :
( ron(sK50(X8,X1,X2,X6),X1)
| ~ rcircle(X8)
| ~ rcircle(X9)
| X1 != X9
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X8,X1)
| ~ rcenter(X4,X8)
| ~ rcenter(X5,X1)
| ~ ron(X4,X2)
| ~ ron(X5,X2)
| ron(X6,X2) ),
inference(equality_resolution,[],[f833]) ).
fof(f833,plain,
! [X2,X3,X0,X1,X8,X6,X9,X4,X5] :
( ron(sK50(X0,X1,X2,X6),X1)
| ~ rcircle(X8)
| X0 != X8
| ~ rcircle(X9)
| X1 != X9
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X0,X1)
| ~ rcenter(X4,X0)
| ~ rcenter(X5,X1)
| ~ ron(X4,X2)
| ~ ron(X5,X2)
| ron(X6,X2) ),
inference(cnf_transformation,[],[f589]) ).
fof(f4735,plain,
spl57_238,
inference(avatar_split_clause,[],[f1469,f4733]) ).
fof(f4733,plain,
( spl57_238
<=> ! [X5,X3,X4,X9,X6,X8] :
( ron(sK50(X8,X9,X3,X6),X8)
| ~ rcircle(X8)
| ~ rcircle(X9)
| ~ rline(X3)
| ~ rintersect(X8,X9)
| ~ rcenter(X4,X8)
| ~ rcenter(X5,X9)
| ~ ron(X4,X3)
| ~ ron(X5,X3)
| ron(X6,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_238])]) ).
fof(f1469,plain,
! [X3,X8,X6,X9,X4,X5] :
( ron(sK50(X8,X9,X3,X6),X8)
| ~ rcircle(X8)
| ~ rcircle(X9)
| ~ rline(X3)
| ~ rintersect(X8,X9)
| ~ rcenter(X4,X8)
| ~ rcenter(X5,X9)
| ~ ron(X4,X3)
| ~ ron(X5,X3)
| ron(X6,X3) ),
inference(equality_resolution,[],[f1468]) ).
fof(f1468,plain,
! [X2,X3,X8,X6,X9,X4,X5] :
( ron(sK50(X8,X9,X2,X6),X8)
| ~ rcircle(X8)
| ~ rcircle(X9)
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X8,X9)
| ~ rcenter(X4,X8)
| ~ rcenter(X5,X9)
| ~ ron(X4,X2)
| ~ ron(X5,X2)
| ron(X6,X2) ),
inference(equality_resolution,[],[f1467]) ).
fof(f1467,plain,
! [X2,X3,X1,X8,X6,X9,X4,X5] :
( ron(sK50(X8,X1,X2,X6),X8)
| ~ rcircle(X8)
| ~ rcircle(X9)
| X1 != X9
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X8,X1)
| ~ rcenter(X4,X8)
| ~ rcenter(X5,X1)
| ~ ron(X4,X2)
| ~ ron(X5,X2)
| ron(X6,X2) ),
inference(equality_resolution,[],[f834]) ).
fof(f834,plain,
! [X2,X3,X0,X1,X8,X6,X9,X4,X5] :
( ron(sK50(X0,X1,X2,X6),X0)
| ~ rcircle(X8)
| X0 != X8
| ~ rcircle(X9)
| X1 != X9
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X0,X1)
| ~ rcenter(X4,X0)
| ~ rcenter(X5,X1)
| ~ ron(X4,X2)
| ~ ron(X5,X2)
| ron(X6,X2) ),
inference(cnf_transformation,[],[f589]) ).
fof(f4731,plain,
spl57_237,
inference(avatar_split_clause,[],[f1460,f4729]) ).
fof(f4729,plain,
( spl57_237
<=> ! [X5,X3,X4,X9,X6,X8] :
( ron(sK49(X8,X9,X3,X6),X9)
| ~ rcircle(X8)
| ~ rcircle(X9)
| ~ rline(X3)
| ~ rintersect(X8,X9)
| ~ rcenter(X4,X8)
| ~ rcenter(X5,X9)
| ~ ron(X4,X3)
| ~ ron(X5,X3)
| ron(X6,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_237])]) ).
fof(f1460,plain,
! [X3,X8,X6,X9,X4,X5] :
( ron(sK49(X8,X9,X3,X6),X9)
| ~ rcircle(X8)
| ~ rcircle(X9)
| ~ rline(X3)
| ~ rintersect(X8,X9)
| ~ rcenter(X4,X8)
| ~ rcenter(X5,X9)
| ~ ron(X4,X3)
| ~ ron(X5,X3)
| ron(X6,X3) ),
inference(equality_resolution,[],[f1459]) ).
fof(f1459,plain,
! [X2,X3,X8,X6,X9,X4,X5] :
( ron(sK49(X8,X9,X2,X6),X9)
| ~ rcircle(X8)
| ~ rcircle(X9)
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X8,X9)
| ~ rcenter(X4,X8)
| ~ rcenter(X5,X9)
| ~ ron(X4,X2)
| ~ ron(X5,X2)
| ron(X6,X2) ),
inference(equality_resolution,[],[f1458]) ).
fof(f1458,plain,
! [X2,X3,X1,X8,X6,X9,X4,X5] :
( ron(sK49(X8,X1,X2,X6),X1)
| ~ rcircle(X8)
| ~ rcircle(X9)
| X1 != X9
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X8,X1)
| ~ rcenter(X4,X8)
| ~ rcenter(X5,X1)
| ~ ron(X4,X2)
| ~ ron(X5,X2)
| ron(X6,X2) ),
inference(equality_resolution,[],[f829]) ).
fof(f829,plain,
! [X2,X3,X0,X1,X8,X6,X9,X4,X5] :
( ron(sK49(X0,X1,X2,X6),X1)
| ~ rcircle(X8)
| X0 != X8
| ~ rcircle(X9)
| X1 != X9
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X0,X1)
| ~ rcenter(X4,X0)
| ~ rcenter(X5,X1)
| ~ ron(X4,X2)
| ~ ron(X5,X2)
| ron(X6,X2) ),
inference(cnf_transformation,[],[f586]) ).
fof(f4727,plain,
spl57_236,
inference(avatar_split_clause,[],[f1457,f4725]) ).
fof(f4725,plain,
( spl57_236
<=> ! [X5,X3,X4,X9,X6,X8] :
( ron(sK49(X8,X9,X3,X6),X8)
| ~ rcircle(X8)
| ~ rcircle(X9)
| ~ rline(X3)
| ~ rintersect(X8,X9)
| ~ rcenter(X4,X8)
| ~ rcenter(X5,X9)
| ~ ron(X4,X3)
| ~ ron(X5,X3)
| ron(X6,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_236])]) ).
fof(f1457,plain,
! [X3,X8,X6,X9,X4,X5] :
( ron(sK49(X8,X9,X3,X6),X8)
| ~ rcircle(X8)
| ~ rcircle(X9)
| ~ rline(X3)
| ~ rintersect(X8,X9)
| ~ rcenter(X4,X8)
| ~ rcenter(X5,X9)
| ~ ron(X4,X3)
| ~ ron(X5,X3)
| ron(X6,X3) ),
inference(equality_resolution,[],[f1456]) ).
fof(f1456,plain,
! [X2,X3,X8,X6,X9,X4,X5] :
( ron(sK49(X8,X9,X2,X6),X8)
| ~ rcircle(X8)
| ~ rcircle(X9)
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X8,X9)
| ~ rcenter(X4,X8)
| ~ rcenter(X5,X9)
| ~ ron(X4,X2)
| ~ ron(X5,X2)
| ron(X6,X2) ),
inference(equality_resolution,[],[f1455]) ).
fof(f1455,plain,
! [X2,X3,X1,X8,X6,X9,X4,X5] :
( ron(sK49(X8,X1,X2,X6),X8)
| ~ rcircle(X8)
| ~ rcircle(X9)
| X1 != X9
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X8,X1)
| ~ rcenter(X4,X8)
| ~ rcenter(X5,X1)
| ~ ron(X4,X2)
| ~ ron(X5,X2)
| ron(X6,X2) ),
inference(equality_resolution,[],[f830]) ).
fof(f830,plain,
! [X2,X3,X0,X1,X8,X6,X9,X4,X5] :
( ron(sK49(X0,X1,X2,X6),X0)
| ~ rcircle(X8)
| X0 != X8
| ~ rcircle(X9)
| X1 != X9
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X0,X1)
| ~ rcenter(X4,X0)
| ~ rcenter(X5,X1)
| ~ ron(X4,X2)
| ~ ron(X5,X2)
| ron(X6,X2) ),
inference(cnf_transformation,[],[f586]) ).
fof(f4723,plain,
spl57_235,
inference(avatar_split_clause,[],[f989,f4721]) ).
fof(f4721,plain,
( spl57_235
<=> ! [X4,X5,X3] :
( vf(X3,X4) = vf(X3,X5)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X3 = X4
| X3 = X5
| X4 = X5
| vangle(X3,X4,X5) != vangle(X3,X5,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_235])]) ).
fof(f989,plain,
! [X3,X4,X5] :
( vf(X3,X4) = vf(X3,X5)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X3 = X4
| X3 = X5
| X4 = X5
| vangle(X3,X4,X5) != vangle(X3,X5,X4) ),
inference(equality_resolution,[],[f988]) ).
fof(f988,plain,
! [X2,X3,X4,X5] :
( vf(X3,X4) = vf(X3,X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X2 != X5
| X3 = X4
| X2 = X3
| X2 = X4
| vangle(X3,X4,X2) != vangle(X3,X2,X4) ),
inference(equality_resolution,[],[f987]) ).
fof(f987,plain,
! [X2,X3,X1,X4,X5] :
( vf(X3,X2) = vf(X3,X1)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X5)
| X2 != X5
| X1 = X3
| X2 = X3
| X1 = X2
| vangle(X3,X2,X1) != vangle(X3,X1,X2) ),
inference(equality_resolution,[],[f684]) ).
fof(f684,plain,
! [X2,X3,X0,X1,X4,X5] :
( vf(X0,X1) = vf(X0,X2)
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X5)
| X2 != X5
| X0 = X1
| X0 = X2
| X1 = X2
| vangle(X0,X1,X2) != vangle(X0,X2,X1) ),
inference(cnf_transformation,[],[f294]) ).
fof(f294,plain,
! [X0,X1,X2] :
( vf(X0,X1) = vf(X0,X2)
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X2 != X5 )
| X0 = X1
| X0 = X2
| X1 = X2
| vangle(X0,X1,X2) != vangle(X0,X2,X1) ),
inference(flattening,[],[f293]) ).
fof(f293,plain,
! [X0,X1,X2] :
( vf(X0,X1) = vf(X0,X2)
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X2 != X5 )
| X0 = X1
| X0 = X2
| X1 = X2
| vangle(X0,X1,X2) != vangle(X0,X2,X1) ),
inference(ennf_transformation,[],[f153]) ).
fof(f153,plain,
! [X0,X1,X2] :
( ( ? [X3] :
( rpoint(X3)
& X0 = X3 )
& ? [X4] :
( rpoint(X4)
& X1 = X4 )
& ? [X5] :
( rpoint(X5)
& X2 = X5 )
& X0 != X1
& X0 != X2
& X1 != X2
& vangle(X0,X1,X2) = vangle(X0,X2,X1) )
=> vf(X0,X1) = vf(X0,X2) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X9,X10,X11] :
( ( ? [X14] :
( rpoint(X14)
& X9 = X14 )
& ? [X13] :
( rpoint(X13)
& X10 = X13 )
& ? [X12] :
( rpoint(X12)
& X11 = X12 )
& X9 != X10
& X9 != X11
& X10 != X11
& vangle(X9,X10,X11) = vangle(X9,X11,X10) )
=> vf(X9,X10) = vf(X9,X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(382), 0), 0)') ).
fof(f4680,plain,
( spl57_234
| spl57_15
| ~ spl57_9
| ~ spl57_3
| ~ spl57_199 ),
inference(avatar_split_clause,[],[f4618,f3568,f1647,f1677,f1707,f4677]) ).
fof(f4677,plain,
( spl57_234
<=> vd684 = vf(sK25(sK8,sK6),sK25(sK8,sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_234])]) ).
fof(f3568,plain,
( spl57_199
<=> ! [X0] :
( sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5)
| vd684 = vf(sK25(X0,sK6),sK25(X0,sK6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_199])]) ).
fof(f4618,plain,
( ~ rpoint(sK8)
| sK6 = sK8
| vd684 = vf(sK25(sK8,sK6),sK25(sK8,sK6))
| ~ spl57_3
| ~ spl57_199 ),
inference(resolution,[],[f3569,f1649]) ).
fof(f3569,plain,
( ! [X0] :
( ~ ron(X0,sK5)
| ~ rpoint(X0)
| sK6 = X0
| vd684 = vf(sK25(X0,sK6),sK25(X0,sK6)) )
| ~ spl57_199 ),
inference(avatar_component_clause,[],[f3568]) ).
fof(f4675,plain,
spl57_233,
inference(avatar_split_clause,[],[f1553,f4673]) ).
fof(f4673,plain,
( spl57_233
<=> ! [X3,X7,X5,X1] :
( ~ rR(X1,X3,X5)
| vd684 != vangle(X3,X1,X5)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rline(X7)
| X1 = X3
| X1 = X5
| ~ ron(X1,X7)
| ~ ron(X3,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_233])]) ).
fof(f1553,plain,
! [X3,X1,X7,X5] :
( ~ rR(X1,X3,X5)
| vd684 != vangle(X3,X1,X5)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rline(X7)
| X1 = X3
| X1 = X5
| ~ ron(X1,X7)
| ~ ron(X3,X7) ),
inference(equality_resolution,[],[f1552]) ).
fof(f1552,plain,
! [X3,X1,X6,X7,X5] :
( ~ rR(X1,X3,X5)
| vd684 != vangle(X3,X1,X5)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rline(X7)
| X6 != X7
| X1 = X3
| X1 = X5
| ~ ron(X1,X6)
| ~ ron(X3,X6) ),
inference(equality_resolution,[],[f1551]) ).
fof(f1551,plain,
! [X3,X1,X6,X7,X4,X5] :
( ~ rR(X1,X3,X4)
| vd684 != vangle(X3,X1,X4)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| X4 != X5
| ~ rline(X7)
| X6 != X7
| X1 = X3
| X1 = X4
| ~ ron(X1,X6)
| ~ ron(X3,X6) ),
inference(equality_resolution,[],[f1550]) ).
fof(f1550,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( ~ rR(X1,X2,X4)
| vd684 != vangle(X2,X1,X4)
| ~ rpoint(X1)
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rline(X7)
| X6 != X7
| X1 = X2
| X1 = X4
| ~ ron(X1,X6)
| ~ ron(X2,X6) ),
inference(equality_resolution,[],[f903]) ).
fof(f903,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ rR(X0,X2,X4)
| vd684 != vangle(X2,X0,X4)
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rline(X7)
| X6 != X7
| X0 = X2
| X0 = X4
| ~ ron(X0,X6)
| ~ ron(X2,X6) ),
inference(definition_unfolding,[],[f857,f612]) ).
fof(f857,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ rR(X0,X2,X4)
| v0 != vangle(X2,X0,X4)
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rline(X7)
| X6 != X7
| X0 = X2
| X0 = X4
| ~ ron(X0,X6)
| ~ ron(X2,X6) ),
inference(cnf_transformation,[],[f599]) ).
fof(f4671,plain,
spl57_232,
inference(avatar_split_clause,[],[f1541,f4669]) ).
fof(f4669,plain,
( spl57_232
<=> ! [X3,X7,X5,X1] :
( ron(sK53(X1,X3,X5,X7),X1)
| ~ rcircle(X1)
| ~ rline(X3)
| ~ rpoint(X5)
| ~ rinside(X5,X1)
| ~ ron(X5,X3)
| ~ rpoint(X7)
| rinside(X7,X1)
| ron(X7,X1)
| ~ ron(X7,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_232])]) ).
fof(f1541,plain,
! [X3,X1,X7,X5] :
( ron(sK53(X1,X3,X5,X7),X1)
| ~ rcircle(X1)
| ~ rline(X3)
| ~ rpoint(X5)
| ~ rinside(X5,X1)
| ~ ron(X5,X3)
| ~ rpoint(X7)
| rinside(X7,X1)
| ron(X7,X1)
| ~ ron(X7,X3) ),
inference(equality_resolution,[],[f1540]) ).
fof(f1540,plain,
! [X3,X1,X6,X7,X5] :
( ron(sK53(X1,X3,X5,X6),X1)
| ~ rcircle(X1)
| ~ rline(X3)
| ~ rpoint(X5)
| ~ rinside(X5,X1)
| ~ ron(X5,X3)
| ~ rpoint(X7)
| X6 != X7
| rinside(X6,X1)
| ron(X6,X1)
| ~ ron(X6,X3) ),
inference(equality_resolution,[],[f1539]) ).
fof(f1539,plain,
! [X3,X1,X6,X7,X4,X5] :
( ron(sK53(X1,X3,X4,X6),X1)
| ~ rcircle(X1)
| ~ rline(X3)
| ~ rpoint(X5)
| X4 != X5
| ~ rinside(X4,X1)
| ~ ron(X4,X3)
| ~ rpoint(X7)
| X6 != X7
| rinside(X6,X1)
| ron(X6,X1)
| ~ ron(X6,X3) ),
inference(equality_resolution,[],[f1538]) ).
fof(f1538,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( ron(sK53(X1,X2,X4,X6),X1)
| ~ rcircle(X1)
| ~ rline(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rinside(X4,X1)
| ~ ron(X4,X2)
| ~ rpoint(X7)
| X6 != X7
| rinside(X6,X1)
| ron(X6,X1)
| ~ ron(X6,X2) ),
inference(equality_resolution,[],[f853]) ).
fof(f853,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ron(sK53(X0,X2,X4,X6),X0)
| ~ rcircle(X1)
| X0 != X1
| ~ rline(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rinside(X4,X0)
| ~ ron(X4,X2)
| ~ rpoint(X7)
| X6 != X7
| rinside(X6,X0)
| ron(X6,X0)
| ~ ron(X6,X2) ),
inference(cnf_transformation,[],[f597]) ).
fof(f4667,plain,
spl57_231,
inference(avatar_split_clause,[],[f1537,f4665]) ).
fof(f4665,plain,
( spl57_231
<=> ! [X3,X7,X5,X1] :
( ron(sK53(X1,X3,X5,X7),X3)
| ~ rcircle(X1)
| ~ rline(X3)
| ~ rpoint(X5)
| ~ rinside(X5,X1)
| ~ ron(X5,X3)
| ~ rpoint(X7)
| rinside(X7,X1)
| ron(X7,X1)
| ~ ron(X7,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_231])]) ).
fof(f1537,plain,
! [X3,X1,X7,X5] :
( ron(sK53(X1,X3,X5,X7),X3)
| ~ rcircle(X1)
| ~ rline(X3)
| ~ rpoint(X5)
| ~ rinside(X5,X1)
| ~ ron(X5,X3)
| ~ rpoint(X7)
| rinside(X7,X1)
| ron(X7,X1)
| ~ ron(X7,X3) ),
inference(equality_resolution,[],[f1536]) ).
fof(f1536,plain,
! [X3,X1,X6,X7,X5] :
( ron(sK53(X1,X3,X5,X6),X3)
| ~ rcircle(X1)
| ~ rline(X3)
| ~ rpoint(X5)
| ~ rinside(X5,X1)
| ~ ron(X5,X3)
| ~ rpoint(X7)
| X6 != X7
| rinside(X6,X1)
| ron(X6,X1)
| ~ ron(X6,X3) ),
inference(equality_resolution,[],[f1535]) ).
fof(f1535,plain,
! [X3,X1,X6,X7,X4,X5] :
( ron(sK53(X1,X3,X4,X6),X3)
| ~ rcircle(X1)
| ~ rline(X3)
| ~ rpoint(X5)
| X4 != X5
| ~ rinside(X4,X1)
| ~ ron(X4,X3)
| ~ rpoint(X7)
| X6 != X7
| rinside(X6,X1)
| ron(X6,X1)
| ~ ron(X6,X3) ),
inference(equality_resolution,[],[f1534]) ).
fof(f1534,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( ron(sK53(X1,X2,X4,X6),X2)
| ~ rcircle(X1)
| ~ rline(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rinside(X4,X1)
| ~ ron(X4,X2)
| ~ rpoint(X7)
| X6 != X7
| rinside(X6,X1)
| ron(X6,X1)
| ~ ron(X6,X2) ),
inference(equality_resolution,[],[f854]) ).
fof(f854,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ron(sK53(X0,X2,X4,X6),X2)
| ~ rcircle(X1)
| X0 != X1
| ~ rline(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rinside(X4,X0)
| ~ ron(X4,X2)
| ~ rpoint(X7)
| X6 != X7
| rinside(X6,X0)
| ron(X6,X0)
| ~ ron(X6,X2) ),
inference(cnf_transformation,[],[f597]) ).
fof(f4663,plain,
spl57_230,
inference(avatar_split_clause,[],[f1466,f4661]) ).
fof(f4661,plain,
( spl57_230
<=> ! [X5,X3,X4,X9,X6,X8] :
( rpoint(sK50(X8,X9,X3,X6))
| ~ rcircle(X8)
| ~ rcircle(X9)
| ~ rline(X3)
| ~ rintersect(X8,X9)
| ~ rcenter(X4,X8)
| ~ rcenter(X5,X9)
| ~ ron(X4,X3)
| ~ ron(X5,X3)
| ron(X6,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_230])]) ).
fof(f1466,plain,
! [X3,X8,X6,X9,X4,X5] :
( rpoint(sK50(X8,X9,X3,X6))
| ~ rcircle(X8)
| ~ rcircle(X9)
| ~ rline(X3)
| ~ rintersect(X8,X9)
| ~ rcenter(X4,X8)
| ~ rcenter(X5,X9)
| ~ ron(X4,X3)
| ~ ron(X5,X3)
| ron(X6,X3) ),
inference(equality_resolution,[],[f1465]) ).
fof(f1465,plain,
! [X2,X3,X8,X6,X9,X4,X5] :
( rpoint(sK50(X8,X9,X2,X6))
| ~ rcircle(X8)
| ~ rcircle(X9)
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X8,X9)
| ~ rcenter(X4,X8)
| ~ rcenter(X5,X9)
| ~ ron(X4,X2)
| ~ ron(X5,X2)
| ron(X6,X2) ),
inference(equality_resolution,[],[f1464]) ).
fof(f1464,plain,
! [X2,X3,X1,X8,X6,X9,X4,X5] :
( rpoint(sK50(X8,X1,X2,X6))
| ~ rcircle(X8)
| ~ rcircle(X9)
| X1 != X9
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X8,X1)
| ~ rcenter(X4,X8)
| ~ rcenter(X5,X1)
| ~ ron(X4,X2)
| ~ ron(X5,X2)
| ron(X6,X2) ),
inference(equality_resolution,[],[f835]) ).
fof(f835,plain,
! [X2,X3,X0,X1,X8,X6,X9,X4,X5] :
( rpoint(sK50(X0,X1,X2,X6))
| ~ rcircle(X8)
| X0 != X8
| ~ rcircle(X9)
| X1 != X9
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X0,X1)
| ~ rcenter(X4,X0)
| ~ rcenter(X5,X1)
| ~ ron(X4,X2)
| ~ ron(X5,X2)
| ron(X6,X2) ),
inference(cnf_transformation,[],[f589]) ).
fof(f4659,plain,
spl57_229,
inference(avatar_split_clause,[],[f1454,f4657]) ).
fof(f4657,plain,
( spl57_229
<=> ! [X5,X3,X4,X9,X6,X8] :
( rpoint(sK49(X8,X9,X3,X6))
| ~ rcircle(X8)
| ~ rcircle(X9)
| ~ rline(X3)
| ~ rintersect(X8,X9)
| ~ rcenter(X4,X8)
| ~ rcenter(X5,X9)
| ~ ron(X4,X3)
| ~ ron(X5,X3)
| ron(X6,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_229])]) ).
fof(f1454,plain,
! [X3,X8,X6,X9,X4,X5] :
( rpoint(sK49(X8,X9,X3,X6))
| ~ rcircle(X8)
| ~ rcircle(X9)
| ~ rline(X3)
| ~ rintersect(X8,X9)
| ~ rcenter(X4,X8)
| ~ rcenter(X5,X9)
| ~ ron(X4,X3)
| ~ ron(X5,X3)
| ron(X6,X3) ),
inference(equality_resolution,[],[f1453]) ).
fof(f1453,plain,
! [X2,X3,X8,X6,X9,X4,X5] :
( rpoint(sK49(X8,X9,X2,X6))
| ~ rcircle(X8)
| ~ rcircle(X9)
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X8,X9)
| ~ rcenter(X4,X8)
| ~ rcenter(X5,X9)
| ~ ron(X4,X2)
| ~ ron(X5,X2)
| ron(X6,X2) ),
inference(equality_resolution,[],[f1452]) ).
fof(f1452,plain,
! [X2,X3,X1,X8,X6,X9,X4,X5] :
( rpoint(sK49(X8,X1,X2,X6))
| ~ rcircle(X8)
| ~ rcircle(X9)
| X1 != X9
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X8,X1)
| ~ rcenter(X4,X8)
| ~ rcenter(X5,X1)
| ~ ron(X4,X2)
| ~ ron(X5,X2)
| ron(X6,X2) ),
inference(equality_resolution,[],[f831]) ).
fof(f831,plain,
! [X2,X3,X0,X1,X8,X6,X9,X4,X5] :
( rpoint(sK49(X0,X1,X2,X6))
| ~ rcircle(X8)
| X0 != X8
| ~ rcircle(X9)
| X1 != X9
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X0,X1)
| ~ rcenter(X4,X0)
| ~ rcenter(X5,X1)
| ~ ron(X4,X2)
| ~ ron(X5,X2)
| ron(X6,X2) ),
inference(cnf_transformation,[],[f586]) ).
fof(f4587,plain,
spl57_228,
inference(avatar_split_clause,[],[f1635,f4585]) ).
fof(f1635,plain,
! [X8,X6,X9,X7,X5] :
( vperp = vangle(X9,X8,X7)
| vperp != vangle(X6,X8,X9)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rline(X5)
| ~ rR(X8,X6,X7)
| ron(X9,X5) ),
inference(inner_rewriting,[],[f1280]) ).
fof(f1280,plain,
! [X8,X6,X9,X7,X5] :
( vangle(X9,X8,X7) = vangle(X6,X8,X9)
| vperp != vangle(X6,X8,X9)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rline(X5)
| ~ rR(X8,X6,X7)
| ron(X9,X5) ),
inference(equality_resolution,[],[f1279]) ).
fof(f1279,plain,
! [X8,X6,X9,X7,X4,X5] :
( vangle(X9,X8,X7) = vangle(X6,X8,X9)
| vperp != vangle(X6,X8,X9)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rline(X5)
| X4 != X5
| ~ rR(X8,X6,X7)
| ron(X9,X4) ),
inference(equality_resolution,[],[f1278]) ).
fof(f1278,plain,
! [X3,X8,X6,X9,X7,X4,X5] :
( vangle(X6,X8,X3) = vangle(X3,X8,X7)
| vperp != vangle(X6,X8,X3)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X3 != X9
| ~ rline(X5)
| X4 != X5
| ~ rR(X8,X6,X7)
| ron(X3,X4) ),
inference(equality_resolution,[],[f1277]) ).
fof(f1277,plain,
! [X2,X3,X8,X6,X9,X7,X4,X5] :
( vangle(X6,X2,X3) = vangle(X3,X2,X7)
| vperp != vangle(X6,X2,X3)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X2 != X8
| ~ rpoint(X9)
| X3 != X9
| ~ rline(X5)
| X4 != X5
| ~ rR(X2,X6,X7)
| ron(X3,X4) ),
inference(equality_resolution,[],[f1276]) ).
fof(f1276,plain,
! [X2,X3,X1,X8,X6,X9,X7,X4,X5] :
( vangle(X3,X2,X1) = vangle(X6,X2,X3)
| vperp != vangle(X6,X2,X3)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X1 != X7
| ~ rpoint(X8)
| X2 != X8
| ~ rpoint(X9)
| X3 != X9
| ~ rline(X5)
| X4 != X5
| ~ rR(X2,X6,X1)
| ron(X3,X4) ),
inference(equality_resolution,[],[f790]) ).
fof(f790,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( vangle(X0,X2,X3) = vangle(X3,X2,X1)
| vperp != vangle(X0,X2,X3)
| ~ rpoint(X6)
| X0 != X6
| ~ rpoint(X7)
| X1 != X7
| ~ rpoint(X8)
| X2 != X8
| ~ rpoint(X9)
| X3 != X9
| ~ rline(X5)
| X4 != X5
| ~ rR(X2,X0,X1)
| ron(X3,X4) ),
inference(cnf_transformation,[],[f566]) ).
fof(f4583,plain,
spl57_227,
inference(avatar_split_clause,[],[f1549,f4581]) ).
fof(f4581,plain,
( spl57_227
<=> ! [X3,X7,X5,X1] :
( ron(X5,X7)
| vd684 != vangle(X3,X1,X5)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rline(X7)
| X1 = X3
| X1 = X5
| ~ ron(X1,X7)
| ~ ron(X3,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_227])]) ).
fof(f1549,plain,
! [X3,X1,X7,X5] :
( ron(X5,X7)
| vd684 != vangle(X3,X1,X5)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rline(X7)
| X1 = X3
| X1 = X5
| ~ ron(X1,X7)
| ~ ron(X3,X7) ),
inference(equality_resolution,[],[f1548]) ).
fof(f1548,plain,
! [X3,X1,X6,X7,X5] :
( ron(X5,X6)
| vd684 != vangle(X3,X1,X5)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rline(X7)
| X6 != X7
| X1 = X3
| X1 = X5
| ~ ron(X1,X6)
| ~ ron(X3,X6) ),
inference(equality_resolution,[],[f1547]) ).
fof(f1547,plain,
! [X3,X1,X6,X7,X4,X5] :
( ron(X4,X6)
| vd684 != vangle(X3,X1,X4)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| X4 != X5
| ~ rline(X7)
| X6 != X7
| X1 = X3
| X1 = X4
| ~ ron(X1,X6)
| ~ ron(X3,X6) ),
inference(equality_resolution,[],[f1546]) ).
fof(f1546,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( ron(X4,X6)
| vd684 != vangle(X2,X1,X4)
| ~ rpoint(X1)
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rline(X7)
| X6 != X7
| X1 = X2
| X1 = X4
| ~ ron(X1,X6)
| ~ ron(X2,X6) ),
inference(equality_resolution,[],[f902]) ).
fof(f902,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ron(X4,X6)
| vd684 != vangle(X2,X0,X4)
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rline(X7)
| X6 != X7
| X0 = X2
| X0 = X4
| ~ ron(X0,X6)
| ~ ron(X2,X6) ),
inference(definition_unfolding,[],[f858,f612]) ).
fof(f858,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ron(X4,X6)
| v0 != vangle(X2,X0,X4)
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rline(X7)
| X6 != X7
| X0 = X2
| X0 = X4
| ~ ron(X0,X6)
| ~ ron(X2,X6) ),
inference(cnf_transformation,[],[f599]) ).
fof(f4579,plain,
spl57_226,
inference(avatar_split_clause,[],[f1533,f4577]) ).
fof(f4577,plain,
( spl57_226
<=> ! [X3,X7,X5,X1] :
( rpoint(sK53(X1,X3,X5,X7))
| ~ rcircle(X1)
| ~ rline(X3)
| ~ rpoint(X5)
| ~ rinside(X5,X1)
| ~ ron(X5,X3)
| ~ rpoint(X7)
| rinside(X7,X1)
| ron(X7,X1)
| ~ ron(X7,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_226])]) ).
fof(f1533,plain,
! [X3,X1,X7,X5] :
( rpoint(sK53(X1,X3,X5,X7))
| ~ rcircle(X1)
| ~ rline(X3)
| ~ rpoint(X5)
| ~ rinside(X5,X1)
| ~ ron(X5,X3)
| ~ rpoint(X7)
| rinside(X7,X1)
| ron(X7,X1)
| ~ ron(X7,X3) ),
inference(equality_resolution,[],[f1532]) ).
fof(f1532,plain,
! [X3,X1,X6,X7,X5] :
( rpoint(sK53(X1,X3,X5,X6))
| ~ rcircle(X1)
| ~ rline(X3)
| ~ rpoint(X5)
| ~ rinside(X5,X1)
| ~ ron(X5,X3)
| ~ rpoint(X7)
| X6 != X7
| rinside(X6,X1)
| ron(X6,X1)
| ~ ron(X6,X3) ),
inference(equality_resolution,[],[f1531]) ).
fof(f1531,plain,
! [X3,X1,X6,X7,X4,X5] :
( rpoint(sK53(X1,X3,X4,X6))
| ~ rcircle(X1)
| ~ rline(X3)
| ~ rpoint(X5)
| X4 != X5
| ~ rinside(X4,X1)
| ~ ron(X4,X3)
| ~ rpoint(X7)
| X6 != X7
| rinside(X6,X1)
| ron(X6,X1)
| ~ ron(X6,X3) ),
inference(equality_resolution,[],[f1530]) ).
fof(f1530,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( rpoint(sK53(X1,X2,X4,X6))
| ~ rcircle(X1)
| ~ rline(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rinside(X4,X1)
| ~ ron(X4,X2)
| ~ rpoint(X7)
| X6 != X7
| rinside(X6,X1)
| ron(X6,X1)
| ~ ron(X6,X2) ),
inference(equality_resolution,[],[f855]) ).
fof(f855,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( rpoint(sK53(X0,X2,X4,X6))
| ~ rcircle(X1)
| X0 != X1
| ~ rline(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rinside(X4,X0)
| ~ ron(X4,X2)
| ~ rpoint(X7)
| X6 != X7
| rinside(X6,X0)
| ron(X6,X0)
| ~ ron(X6,X2) ),
inference(cnf_transformation,[],[f597]) ).
fof(f4575,plain,
spl57_225,
inference(avatar_split_clause,[],[f1209,f4573]) ).
fof(f1209,plain,
! [X6,X7,X4,X5] :
( rS(X6,X7,X4)
| rS(X5,X7,X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rline(X4)
| ron(X5,X4)
| ron(X6,X4)
| ron(X7,X4)
| rS(X5,X6,X4) ),
inference(equality_resolution,[],[f1208]) ).
fof(f1208,plain,
! [X3,X6,X7,X4,X5] :
( rS(X6,X7,X3)
| rS(X5,X7,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rline(X4)
| X3 != X4
| ron(X5,X3)
| ron(X6,X3)
| ron(X7,X3)
| rS(X5,X6,X3) ),
inference(equality_resolution,[],[f1207]) ).
fof(f1207,plain,
! [X2,X3,X6,X7,X4,X5] :
( rS(X6,X2,X3)
| rS(X5,X2,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| X3 != X4
| ron(X5,X3)
| ron(X6,X3)
| ron(X2,X3)
| rS(X5,X6,X3) ),
inference(equality_resolution,[],[f1206]) ).
fof(f1206,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( rS(X1,X2,X3)
| rS(X5,X2,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| X3 != X4
| ron(X5,X3)
| ron(X1,X3)
| ron(X2,X3)
| rS(X5,X1,X3) ),
inference(equality_resolution,[],[f773]) ).
fof(f773,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( rS(X1,X2,X3)
| rS(X0,X2,X3)
| ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| X3 != X4
| ron(X0,X3)
| ron(X1,X3)
| ron(X2,X3)
| rS(X0,X1,X3) ),
inference(cnf_transformation,[],[f382]) ).
fof(f382,plain,
! [X0,X1,X2,X3,X4] :
( rS(X1,X2,X3)
| rS(X0,X2,X3)
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| ~ rline(X4)
| X3 != X4
| ron(X0,X3)
| ron(X1,X3)
| ron(X2,X3)
| rS(X0,X1,X3) ),
inference(flattening,[],[f381]) ).
fof(f381,plain,
! [X0,X1,X2,X3,X4] :
( rS(X1,X2,X3)
| rS(X0,X2,X3)
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| ~ rline(X4)
| X3 != X4
| ron(X0,X3)
| ron(X1,X3)
| ron(X2,X3)
| rS(X0,X1,X3) ),
inference(ennf_transformation,[],[f199]) ).
fof(f199,plain,
! [X0,X1,X2,X3,X4] :
( ( ? [X5] :
( rpoint(X5)
& X0 = X5 )
& ? [X6] :
( rpoint(X6)
& X1 = X6 )
& ? [X7] :
( rpoint(X7)
& X2 = X7 )
& rline(X4)
& X3 = X4
& ~ ron(X0,X3)
& ~ ron(X1,X3)
& ~ ron(X2,X3)
& ~ rS(X0,X1,X3) )
=> ( rS(X1,X2,X3)
| rS(X0,X2,X3) ) ),
inference(rectify,[],[f82]) ).
fof(f82,axiom,
! [X472,X473,X474,X475,X476] :
( ( ? [X479] :
( rpoint(X479)
& X472 = X479 )
& ? [X478] :
( rpoint(X478)
& X473 = X478 )
& ? [X477] :
( rpoint(X477)
& X474 = X477 )
& rline(X476)
& X475 = X476
& ~ ron(X472,X475)
& ~ ron(X473,X475)
& ~ ron(X474,X475)
& ~ rS(X472,X473,X475) )
=> ( rS(X473,X474,X475)
| rS(X472,X474,X475) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(103), 0), imp(cond(axiom(103), 0)))') ).
fof(f4533,plain,
spl57_224,
inference(avatar_split_clause,[],[f1525,f4531]) ).
fof(f4531,plain,
( spl57_224
<=> ! [X3,X7,X5,X1] :
( rR(X5,sK51(X1,X3,X5,X7),X7)
| ~ rcircle(X1)
| ~ rline(X3)
| ~ rpoint(X5)
| ~ rinside(X5,X1)
| ~ ron(X5,X3)
| ~ rpoint(X7)
| ~ ron(X7,X3)
| X5 = X7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_224])]) ).
fof(f1525,plain,
! [X3,X1,X7,X5] :
( rR(X5,sK51(X1,X3,X5,X7),X7)
| ~ rcircle(X1)
| ~ rline(X3)
| ~ rpoint(X5)
| ~ rinside(X5,X1)
| ~ ron(X5,X3)
| ~ rpoint(X7)
| ~ ron(X7,X3)
| X5 = X7 ),
inference(equality_resolution,[],[f1524]) ).
fof(f1524,plain,
! [X3,X1,X6,X7,X5] :
( rR(X5,sK51(X1,X3,X5,X6),X6)
| ~ rcircle(X1)
| ~ rline(X3)
| ~ rpoint(X5)
| ~ rinside(X5,X1)
| ~ ron(X5,X3)
| ~ rpoint(X7)
| X6 != X7
| ~ ron(X6,X3)
| X5 = X6 ),
inference(equality_resolution,[],[f1523]) ).
fof(f1523,plain,
! [X3,X1,X6,X7,X4,X5] :
( rR(X4,sK51(X1,X3,X4,X6),X6)
| ~ rcircle(X1)
| ~ rline(X3)
| ~ rpoint(X5)
| X4 != X5
| ~ rinside(X4,X1)
| ~ ron(X4,X3)
| ~ rpoint(X7)
| X6 != X7
| ~ ron(X6,X3)
| X4 = X6 ),
inference(equality_resolution,[],[f1522]) ).
fof(f1522,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( rR(X4,sK51(X1,X2,X4,X6),X6)
| ~ rcircle(X1)
| ~ rline(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rinside(X4,X1)
| ~ ron(X4,X2)
| ~ rpoint(X7)
| X6 != X7
| ~ ron(X6,X2)
| X4 = X6 ),
inference(equality_resolution,[],[f842]) ).
fof(f842,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( rR(X4,sK51(X0,X2,X4,X6),X6)
| ~ rcircle(X1)
| X0 != X1
| ~ rline(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rinside(X4,X0)
| ~ ron(X4,X2)
| ~ rpoint(X7)
| X6 != X7
| ~ ron(X6,X2)
| X4 = X6 ),
inference(cnf_transformation,[],[f591]) ).
fof(f591,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( rpoint(sK51(X0,X2,X4,X6))
& ron(sK51(X0,X2,X4,X6),X0)
& ron(sK51(X0,X2,X4,X6),X2)
& rR(X4,sK51(X0,X2,X4,X6),X6) )
| ~ rcircle(X1)
| X0 != X1
| ~ rline(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rinside(X4,X0)
| ~ ron(X4,X2)
| ~ rpoint(X7)
| X6 != X7
| ~ ron(X6,X2)
| X4 = X6 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK51])],[f442,f590]) ).
fof(f590,plain,
! [X0,X2,X4,X6] :
( ? [X8] :
( rpoint(X8)
& ron(X8,X0)
& ron(X8,X2)
& rR(X4,X8,X6) )
=> ( rpoint(sK51(X0,X2,X4,X6))
& ron(sK51(X0,X2,X4,X6),X0)
& ron(sK51(X0,X2,X4,X6),X2)
& rR(X4,sK51(X0,X2,X4,X6),X6) ) ),
introduced(choice_axiom,[]) ).
fof(f442,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ? [X8] :
( rpoint(X8)
& ron(X8,X0)
& ron(X8,X2)
& rR(X4,X8,X6) )
| ~ rcircle(X1)
| X0 != X1
| ~ rline(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rinside(X4,X0)
| ~ ron(X4,X2)
| ~ rpoint(X7)
| X6 != X7
| ~ ron(X6,X2)
| X4 = X6 ),
inference(flattening,[],[f441]) ).
fof(f441,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ? [X8] :
( rpoint(X8)
& ron(X8,X0)
& ron(X8,X2)
& rR(X4,X8,X6) )
| ~ rcircle(X1)
| X0 != X1
| ~ rline(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rinside(X4,X0)
| ~ ron(X4,X2)
| ~ rpoint(X7)
| X6 != X7
| ~ ron(X6,X2)
| X4 = X6 ),
inference(ennf_transformation,[],[f230]) ).
fof(f230,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( rcircle(X1)
& X0 = X1
& rline(X3)
& X2 = X3
& rpoint(X5)
& X4 = X5
& rinside(X4,X0)
& ron(X4,X2)
& rpoint(X7)
& X6 = X7
& ron(X6,X2)
& X4 != X6 )
=> ? [X8] :
( rpoint(X8)
& ron(X8,X0)
& ron(X8,X2)
& rR(X4,X8,X6) ) ),
inference(rectify,[],[f92]) ).
fof(f92,axiom,
! [X539,X540,X541,X542,X543,X544,X545,X546] :
( ( rcircle(X540)
& X539 = X540
& rline(X542)
& X541 = X542
& rpoint(X544)
& X543 = X544
& rinside(X543,X539)
& ron(X543,X541)
& rpoint(X546)
& X545 = X546
& ron(X545,X541)
& X543 != X545 )
=> ? [X547] :
( rpoint(X547)
& ron(X547,X539)
& ron(X547,X541)
& rR(X543,X547,X545) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(63), 0), imp(cond(axiom(63), 0)))') ).
fof(f4493,plain,
spl57_223,
inference(avatar_split_clause,[],[f1521,f4491]) ).
fof(f4491,plain,
( spl57_223
<=> ! [X3,X7,X5,X1] :
( ron(sK51(X1,X3,X5,X7),X3)
| ~ rcircle(X1)
| ~ rline(X3)
| ~ rpoint(X5)
| ~ rinside(X5,X1)
| ~ ron(X5,X3)
| ~ rpoint(X7)
| ~ ron(X7,X3)
| X5 = X7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_223])]) ).
fof(f1521,plain,
! [X3,X1,X7,X5] :
( ron(sK51(X1,X3,X5,X7),X3)
| ~ rcircle(X1)
| ~ rline(X3)
| ~ rpoint(X5)
| ~ rinside(X5,X1)
| ~ ron(X5,X3)
| ~ rpoint(X7)
| ~ ron(X7,X3)
| X5 = X7 ),
inference(equality_resolution,[],[f1520]) ).
fof(f1520,plain,
! [X3,X1,X6,X7,X5] :
( ron(sK51(X1,X3,X5,X6),X3)
| ~ rcircle(X1)
| ~ rline(X3)
| ~ rpoint(X5)
| ~ rinside(X5,X1)
| ~ ron(X5,X3)
| ~ rpoint(X7)
| X6 != X7
| ~ ron(X6,X3)
| X5 = X6 ),
inference(equality_resolution,[],[f1519]) ).
fof(f1519,plain,
! [X3,X1,X6,X7,X4,X5] :
( ron(sK51(X1,X3,X4,X6),X3)
| ~ rcircle(X1)
| ~ rline(X3)
| ~ rpoint(X5)
| X4 != X5
| ~ rinside(X4,X1)
| ~ ron(X4,X3)
| ~ rpoint(X7)
| X6 != X7
| ~ ron(X6,X3)
| X4 = X6 ),
inference(equality_resolution,[],[f1518]) ).
fof(f1518,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( ron(sK51(X1,X2,X4,X6),X2)
| ~ rcircle(X1)
| ~ rline(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rinside(X4,X1)
| ~ ron(X4,X2)
| ~ rpoint(X7)
| X6 != X7
| ~ ron(X6,X2)
| X4 = X6 ),
inference(equality_resolution,[],[f843]) ).
fof(f843,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ron(sK51(X0,X2,X4,X6),X2)
| ~ rcircle(X1)
| X0 != X1
| ~ rline(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rinside(X4,X0)
| ~ ron(X4,X2)
| ~ rpoint(X7)
| X6 != X7
| ~ ron(X6,X2)
| X4 = X6 ),
inference(cnf_transformation,[],[f591]) ).
fof(f4482,plain,
spl57_222,
inference(avatar_split_clause,[],[f1517,f4480]) ).
fof(f4480,plain,
( spl57_222
<=> ! [X3,X7,X5,X1] :
( ron(sK51(X1,X3,X5,X7),X1)
| ~ rcircle(X1)
| ~ rline(X3)
| ~ rpoint(X5)
| ~ rinside(X5,X1)
| ~ ron(X5,X3)
| ~ rpoint(X7)
| ~ ron(X7,X3)
| X5 = X7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_222])]) ).
fof(f1517,plain,
! [X3,X1,X7,X5] :
( ron(sK51(X1,X3,X5,X7),X1)
| ~ rcircle(X1)
| ~ rline(X3)
| ~ rpoint(X5)
| ~ rinside(X5,X1)
| ~ ron(X5,X3)
| ~ rpoint(X7)
| ~ ron(X7,X3)
| X5 = X7 ),
inference(equality_resolution,[],[f1516]) ).
fof(f1516,plain,
! [X3,X1,X6,X7,X5] :
( ron(sK51(X1,X3,X5,X6),X1)
| ~ rcircle(X1)
| ~ rline(X3)
| ~ rpoint(X5)
| ~ rinside(X5,X1)
| ~ ron(X5,X3)
| ~ rpoint(X7)
| X6 != X7
| ~ ron(X6,X3)
| X5 = X6 ),
inference(equality_resolution,[],[f1515]) ).
fof(f1515,plain,
! [X3,X1,X6,X7,X4,X5] :
( ron(sK51(X1,X3,X4,X6),X1)
| ~ rcircle(X1)
| ~ rline(X3)
| ~ rpoint(X5)
| X4 != X5
| ~ rinside(X4,X1)
| ~ ron(X4,X3)
| ~ rpoint(X7)
| X6 != X7
| ~ ron(X6,X3)
| X4 = X6 ),
inference(equality_resolution,[],[f1514]) ).
fof(f1514,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( ron(sK51(X1,X2,X4,X6),X1)
| ~ rcircle(X1)
| ~ rline(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rinside(X4,X1)
| ~ ron(X4,X2)
| ~ rpoint(X7)
| X6 != X7
| ~ ron(X6,X2)
| X4 = X6 ),
inference(equality_resolution,[],[f844]) ).
fof(f844,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ron(sK51(X0,X2,X4,X6),X0)
| ~ rcircle(X1)
| X0 != X1
| ~ rline(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rinside(X4,X0)
| ~ ron(X4,X2)
| ~ rpoint(X7)
| X6 != X7
| ~ ron(X6,X2)
| X4 = X6 ),
inference(cnf_transformation,[],[f591]) ).
fof(f4331,plain,
spl57_221,
inference(avatar_split_clause,[],[f1513,f4329]) ).
fof(f4329,plain,
( spl57_221
<=> ! [X3,X7,X5,X1] :
( rpoint(sK51(X1,X3,X5,X7))
| ~ rcircle(X1)
| ~ rline(X3)
| ~ rpoint(X5)
| ~ rinside(X5,X1)
| ~ ron(X5,X3)
| ~ rpoint(X7)
| ~ ron(X7,X3)
| X5 = X7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_221])]) ).
fof(f1513,plain,
! [X3,X1,X7,X5] :
( rpoint(sK51(X1,X3,X5,X7))
| ~ rcircle(X1)
| ~ rline(X3)
| ~ rpoint(X5)
| ~ rinside(X5,X1)
| ~ ron(X5,X3)
| ~ rpoint(X7)
| ~ ron(X7,X3)
| X5 = X7 ),
inference(equality_resolution,[],[f1512]) ).
fof(f1512,plain,
! [X3,X1,X6,X7,X5] :
( rpoint(sK51(X1,X3,X5,X6))
| ~ rcircle(X1)
| ~ rline(X3)
| ~ rpoint(X5)
| ~ rinside(X5,X1)
| ~ ron(X5,X3)
| ~ rpoint(X7)
| X6 != X7
| ~ ron(X6,X3)
| X5 = X6 ),
inference(equality_resolution,[],[f1511]) ).
fof(f1511,plain,
! [X3,X1,X6,X7,X4,X5] :
( rpoint(sK51(X1,X3,X4,X6))
| ~ rcircle(X1)
| ~ rline(X3)
| ~ rpoint(X5)
| X4 != X5
| ~ rinside(X4,X1)
| ~ ron(X4,X3)
| ~ rpoint(X7)
| X6 != X7
| ~ ron(X6,X3)
| X4 = X6 ),
inference(equality_resolution,[],[f1510]) ).
fof(f1510,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( rpoint(sK51(X1,X2,X4,X6))
| ~ rcircle(X1)
| ~ rline(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rinside(X4,X1)
| ~ ron(X4,X2)
| ~ rpoint(X7)
| X6 != X7
| ~ ron(X6,X2)
| X4 = X6 ),
inference(equality_resolution,[],[f845]) ).
fof(f845,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( rpoint(sK51(X0,X2,X4,X6))
| ~ rcircle(X1)
| X0 != X1
| ~ rline(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rinside(X4,X0)
| ~ ron(X4,X2)
| ~ rpoint(X7)
| X6 != X7
| ~ ron(X6,X2)
| X4 = X6 ),
inference(cnf_transformation,[],[f591]) ).
fof(f4327,plain,
( spl57_220
| spl57_15
| ~ spl57_11
| ~ spl57_4
| ~ spl57_198 ),
inference(avatar_split_clause,[],[f4270,f3394,f1652,f1687,f1707,f4324]) ).
fof(f4324,plain,
( spl57_220
<=> vd684 = vf(sK25(sK6,sK8),sK25(sK6,sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_220])]) ).
fof(f3394,plain,
( spl57_198
<=> ! [X0] :
( sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5)
| vd684 = vf(sK25(X0,sK8),sK25(X0,sK8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_198])]) ).
fof(f4270,plain,
( ~ rpoint(sK6)
| sK6 = sK8
| vd684 = vf(sK25(sK6,sK8),sK25(sK6,sK8))
| ~ spl57_4
| ~ spl57_198 ),
inference(resolution,[],[f3395,f1654]) ).
fof(f3395,plain,
( ! [X0] :
( ~ ron(X0,sK5)
| ~ rpoint(X0)
| sK8 = X0
| vd684 = vf(sK25(X0,sK8),sK25(X0,sK8)) )
| ~ spl57_198 ),
inference(avatar_component_clause,[],[f3394]) ).
fof(f4322,plain,
spl57_219,
inference(avatar_split_clause,[],[f1247,f4320]) ).
fof(f1247,plain,
! [X2,X3,X6,X4,X5] :
( X3 = X4
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rcenter(X2,X3)
| ~ rcenter(X2,X4)
| ~ ron(X5,X3)
| ~ ron(X6,X4)
| vf(X2,X5) != vf(X2,X6) ),
inference(equality_resolution,[],[f1246]) ).
fof(f1246,plain,
! [X2,X3,X1,X6,X4,X5] :
( X3 = X4
| ~ rpoint(X5)
| ~ rpoint(X6)
| X1 != X6
| ~ rcenter(X2,X3)
| ~ rcenter(X2,X4)
| ~ ron(X5,X3)
| ~ ron(X1,X4)
| vf(X2,X1) != vf(X2,X5) ),
inference(equality_resolution,[],[f783]) ).
fof(f783,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( X3 = X4
| ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X6)
| X1 != X6
| ~ rcenter(X2,X3)
| ~ rcenter(X2,X4)
| ~ ron(X0,X3)
| ~ ron(X1,X4)
| vf(X2,X0) != vf(X2,X1) ),
inference(cnf_transformation,[],[f392]) ).
fof(f392,plain,
! [X0,X1,X2,X3,X4] :
( X3 = X4
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ~ rcenter(X2,X3)
| ~ rcenter(X2,X4)
| ~ ron(X0,X3)
| ~ ron(X1,X4)
| vf(X2,X0) != vf(X2,X1) ),
inference(flattening,[],[f391]) ).
fof(f391,plain,
! [X0,X1,X2,X3,X4] :
( X3 = X4
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ~ rcenter(X2,X3)
| ~ rcenter(X2,X4)
| ~ ron(X0,X3)
| ~ ron(X1,X4)
| vf(X2,X0) != vf(X2,X1) ),
inference(ennf_transformation,[],[f204]) ).
fof(f204,plain,
! [X0,X1,X2,X3,X4] :
( ( ? [X5] :
( rpoint(X5)
& X0 = X5 )
& ? [X6] :
( rpoint(X6)
& X1 = X6 )
& rcenter(X2,X3)
& rcenter(X2,X4)
& ron(X0,X3)
& ron(X1,X4)
& vf(X2,X0) = vf(X2,X1) )
=> X3 = X4 ),
inference(rectify,[],[f118]) ).
fof(f118,axiom,
! [X709,X710,X711,X712,X713] :
( ( ? [X715] :
( rpoint(X715)
& X709 = X715 )
& ? [X714] :
( rpoint(X714)
& X710 = X714 )
& rcenter(X711,X712)
& rcenter(X711,X713)
& ron(X709,X712)
& ron(X710,X713)
& vf(X711,X709) = vf(X711,X710) )
=> X712 = X713 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(182), 0), imp(cond(axiom(182), 0)))') ).
fof(f4318,plain,
spl57_218,
inference(avatar_split_clause,[],[f1180,f4316]) ).
fof(f4316,plain,
( spl57_218
<=> ! [X5,X4,X7,X6] :
( ron(X7,X4)
| vd684 != vg(X5,X6,X7)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rline(X4)
| X5 = X6
| ~ ron(X5,X4)
| ~ ron(X6,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_218])]) ).
fof(f1180,plain,
! [X6,X7,X4,X5] :
( ron(X7,X4)
| vd684 != vg(X5,X6,X7)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rline(X4)
| X5 = X6
| ~ ron(X5,X4)
| ~ ron(X6,X4) ),
inference(equality_resolution,[],[f1179]) ).
fof(f1179,plain,
! [X3,X6,X7,X4,X5] :
( ron(X7,X3)
| vd684 != vg(X5,X6,X7)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rline(X4)
| X3 != X4
| X5 = X6
| ~ ron(X5,X3)
| ~ ron(X6,X3) ),
inference(equality_resolution,[],[f1178]) ).
fof(f1178,plain,
! [X2,X3,X6,X7,X4,X5] :
( ron(X2,X3)
| vd684 != vg(X5,X6,X2)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| X3 != X4
| X5 = X6
| ~ ron(X5,X3)
| ~ ron(X6,X3) ),
inference(equality_resolution,[],[f1177]) ).
fof(f1177,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( ron(X2,X3)
| vd684 != vg(X5,X1,X2)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| X3 != X4
| X1 = X5
| ~ ron(X5,X3)
| ~ ron(X1,X3) ),
inference(equality_resolution,[],[f901]) ).
fof(f901,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ron(X2,X3)
| vd684 != vg(X0,X1,X2)
| ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| X3 != X4
| X0 = X1
| ~ ron(X0,X3)
| ~ ron(X1,X3) ),
inference(definition_unfolding,[],[f765,f612]) ).
fof(f765,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ron(X2,X3)
| v0 != vg(X0,X1,X2)
| ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| X3 != X4
| X0 = X1
| ~ ron(X0,X3)
| ~ ron(X1,X3) ),
inference(cnf_transformation,[],[f556]) ).
fof(f556,plain,
! [X0,X1,X2,X3,X4] :
( ( ( v0 = vg(X0,X1,X2)
| ~ ron(X2,X3) )
& ( ron(X2,X3)
| v0 != vg(X0,X1,X2) ) )
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| ~ rline(X4)
| X3 != X4
| X0 = X1
| ~ ron(X0,X3)
| ~ ron(X1,X3) ),
inference(nnf_transformation,[],[f374]) ).
fof(f374,plain,
! [X0,X1,X2,X3,X4] :
( ( v0 = vg(X0,X1,X2)
<=> ron(X2,X3) )
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| ~ rline(X4)
| X3 != X4
| X0 = X1
| ~ ron(X0,X3)
| ~ ron(X1,X3) ),
inference(flattening,[],[f373]) ).
fof(f373,plain,
! [X0,X1,X2,X3,X4] :
( ( v0 = vg(X0,X1,X2)
<=> ron(X2,X3) )
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| ~ rline(X4)
| X3 != X4
| X0 = X1
| ~ ron(X0,X3)
| ~ ron(X1,X3) ),
inference(ennf_transformation,[],[f195]) ).
fof(f195,plain,
! [X0,X1,X2,X3,X4] :
( ( ? [X5] :
( rpoint(X5)
& X0 = X5 )
& ? [X6] :
( rpoint(X6)
& X1 = X6 )
& ? [X7] :
( rpoint(X7)
& X2 = X7 )
& rline(X4)
& X3 = X4
& X0 != X1
& ron(X0,X3)
& ron(X1,X3) )
=> ( v0 = vg(X0,X1,X2)
<=> ron(X2,X3) ) ),
inference(rectify,[],[f116]) ).
fof(f116,axiom,
! [X691,X692,X693,X694,X695] :
( ( ? [X698] :
( rpoint(X698)
& X691 = X698 )
& ? [X697] :
( rpoint(X697)
& X692 = X697 )
& ? [X696] :
( rpoint(X696)
& X693 = X696 )
& rline(X695)
& X694 = X695
& X691 != X692
& ron(X691,X694)
& ron(X692,X694) )
=> ( v0 = vg(X691,X692,X693)
<=> ron(X693,X694) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(200), 0), imp(cond(axiom(200), 0)))') ).
fof(f4314,plain,
spl57_217,
inference(avatar_split_clause,[],[f1176,f4312]) ).
fof(f1176,plain,
! [X6,X7,X4,X5] :
( vd684 = vg(X5,X6,X7)
| ~ ron(X7,X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rline(X4)
| X5 = X6
| ~ ron(X5,X4)
| ~ ron(X6,X4) ),
inference(equality_resolution,[],[f1175]) ).
fof(f1175,plain,
! [X3,X6,X7,X4,X5] :
( vd684 = vg(X5,X6,X7)
| ~ ron(X7,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rline(X4)
| X3 != X4
| X5 = X6
| ~ ron(X5,X3)
| ~ ron(X6,X3) ),
inference(equality_resolution,[],[f1174]) ).
fof(f1174,plain,
! [X2,X3,X6,X7,X4,X5] :
( vd684 = vg(X5,X6,X2)
| ~ ron(X2,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| X3 != X4
| X5 = X6
| ~ ron(X5,X3)
| ~ ron(X6,X3) ),
inference(equality_resolution,[],[f1173]) ).
fof(f1173,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( vd684 = vg(X5,X1,X2)
| ~ ron(X2,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| X3 != X4
| X1 = X5
| ~ ron(X5,X3)
| ~ ron(X1,X3) ),
inference(equality_resolution,[],[f900]) ).
fof(f900,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( vd684 = vg(X0,X1,X2)
| ~ ron(X2,X3)
| ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| X3 != X4
| X0 = X1
| ~ ron(X0,X3)
| ~ ron(X1,X3) ),
inference(definition_unfolding,[],[f766,f612]) ).
fof(f766,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( v0 = vg(X0,X1,X2)
| ~ ron(X2,X3)
| ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| X3 != X4
| X0 = X1
| ~ ron(X0,X3)
| ~ ron(X1,X3) ),
inference(cnf_transformation,[],[f556]) ).
fof(f4310,plain,
spl57_216,
inference(avatar_split_clause,[],[f1106,f4308]) ).
fof(f1106,plain,
! [X6,X7,X4,X5] :
( X6 = X7
| ~ rpoint(X4)
| ~ rpoint(X5)
| X4 = X5
| ~ rline(X6)
| ~ rline(X7)
| ~ ron(X4,X6)
| ~ ron(X4,X7)
| ~ ron(X5,X6)
| ~ ron(X5,X7) ),
inference(equality_resolution,[],[f1105]) ).
fof(f1105,plain,
! [X3,X6,X7,X4,X5] :
( X3 = X6
| ~ rpoint(X4)
| ~ rpoint(X5)
| X4 = X5
| ~ rline(X6)
| ~ rline(X7)
| X3 != X7
| ~ ron(X4,X6)
| ~ ron(X4,X3)
| ~ ron(X5,X6)
| ~ ron(X5,X3) ),
inference(equality_resolution,[],[f1104]) ).
fof(f1104,plain,
! [X2,X3,X6,X7,X4,X5] :
( X2 = X3
| ~ rpoint(X4)
| ~ rpoint(X5)
| X4 = X5
| ~ rline(X6)
| X2 != X6
| ~ rline(X7)
| X3 != X7
| ~ ron(X4,X2)
| ~ ron(X4,X3)
| ~ ron(X5,X2)
| ~ ron(X5,X3) ),
inference(equality_resolution,[],[f1103]) ).
fof(f1103,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( X2 = X3
| ~ rpoint(X4)
| ~ rpoint(X5)
| X1 != X5
| X1 = X4
| ~ rline(X6)
| X2 != X6
| ~ rline(X7)
| X3 != X7
| ~ ron(X4,X2)
| ~ ron(X4,X3)
| ~ ron(X1,X2)
| ~ ron(X1,X3) ),
inference(equality_resolution,[],[f741]) ).
fof(f741,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( X2 = X3
| ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X5)
| X1 != X5
| X0 = X1
| ~ rline(X6)
| X2 != X6
| ~ rline(X7)
| X3 != X7
| ~ ron(X0,X2)
| ~ ron(X0,X3)
| ~ ron(X1,X2)
| ~ ron(X1,X3) ),
inference(cnf_transformation,[],[f348]) ).
fof(f348,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| X0 = X1
| ! [X6] :
( ~ rline(X6)
| X2 != X6 )
| ! [X7] :
( ~ rline(X7)
| X3 != X7 )
| ~ ron(X0,X2)
| ~ ron(X0,X3)
| ~ ron(X1,X2)
| ~ ron(X1,X3) ),
inference(flattening,[],[f347]) ).
fof(f347,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| X0 = X1
| ! [X6] :
( ~ rline(X6)
| X2 != X6 )
| ! [X7] :
( ~ rline(X7)
| X3 != X7 )
| ~ ron(X0,X2)
| ~ ron(X0,X3)
| ~ ron(X1,X2)
| ~ ron(X1,X3) ),
inference(ennf_transformation,[],[f181]) ).
fof(f181,plain,
! [X0,X1,X2,X3] :
( ( ? [X4] :
( rpoint(X4)
& X0 = X4 )
& ? [X5] :
( rpoint(X5)
& X1 = X5 )
& X0 != X1
& ? [X6] :
( rline(X6)
& X2 = X6 )
& ? [X7] :
( rline(X7)
& X3 = X7 )
& ron(X0,X2)
& ron(X0,X3)
& ron(X1,X2)
& ron(X1,X3) )
=> X2 = X3 ),
inference(rectify,[],[f50]) ).
fof(f50,axiom,
! [X231,X232,X233,X234] :
( ( ? [X238] :
( rpoint(X238)
& X231 = X238 )
& ? [X237] :
( rpoint(X237)
& X232 = X237 )
& X231 != X232
& ? [X236] :
( rline(X236)
& X233 = X236 )
& ? [X235] :
( rline(X235)
& X234 = X235 )
& ron(X231,X233)
& ron(X231,X234)
& ron(X232,X233)
& ron(X232,X234) )
=> X233 = X234 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(73), 0), imp(cond(axiom(73), 0)))') ).
fof(f4306,plain,
spl57_215,
inference(avatar_split_clause,[],[f1033,f4304]) ).
fof(f4304,plain,
( spl57_215
<=> ! [X5,X4,X7,X6] :
( rintersect(X6,X7)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rcircle(X6)
| ~ rcircle(X7)
| ~ ron(X4,X6)
| ~ ron(X5,X6)
| ~ rinside(X4,X7)
| ron(X5,X7)
| rinside(X5,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_215])]) ).
fof(f1033,plain,
! [X6,X7,X4,X5] :
( rintersect(X6,X7)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rcircle(X6)
| ~ rcircle(X7)
| ~ ron(X4,X6)
| ~ ron(X5,X6)
| ~ rinside(X4,X7)
| ron(X5,X7)
| rinside(X5,X7) ),
inference(equality_resolution,[],[f1032]) ).
fof(f1032,plain,
! [X3,X6,X7,X4,X5] :
( rintersect(X6,X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rcircle(X6)
| ~ rcircle(X7)
| X3 != X7
| ~ ron(X4,X6)
| ~ ron(X5,X6)
| ~ rinside(X4,X3)
| ron(X5,X3)
| rinside(X5,X3) ),
inference(equality_resolution,[],[f1031]) ).
fof(f1031,plain,
! [X2,X3,X6,X7,X4,X5] :
( rintersect(X2,X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rcircle(X6)
| X2 != X6
| ~ rcircle(X7)
| X3 != X7
| ~ ron(X4,X2)
| ~ ron(X5,X2)
| ~ rinside(X4,X3)
| ron(X5,X3)
| rinside(X5,X3) ),
inference(equality_resolution,[],[f1030]) ).
fof(f1030,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( rintersect(X2,X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X1 != X5
| ~ rcircle(X6)
| X2 != X6
| ~ rcircle(X7)
| X3 != X7
| ~ ron(X4,X2)
| ~ ron(X1,X2)
| ~ rinside(X4,X3)
| ron(X1,X3)
| rinside(X1,X3) ),
inference(equality_resolution,[],[f697]) ).
fof(f697,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( rintersect(X2,X3)
| ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X5)
| X1 != X5
| ~ rcircle(X6)
| X2 != X6
| ~ rcircle(X7)
| X3 != X7
| ~ ron(X0,X2)
| ~ ron(X1,X2)
| ~ rinside(X0,X3)
| ron(X1,X3)
| rinside(X1,X3) ),
inference(cnf_transformation,[],[f306]) ).
fof(f306,plain,
! [X0,X1,X2,X3] :
( rintersect(X2,X3)
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| ! [X6] :
( ~ rcircle(X6)
| X2 != X6 )
| ! [X7] :
( ~ rcircle(X7)
| X3 != X7 )
| ~ ron(X0,X2)
| ( ~ rinside(X1,X2)
& ~ ron(X1,X2) )
| ~ rinside(X0,X3)
| ron(X1,X3)
| rinside(X1,X3) ),
inference(flattening,[],[f305]) ).
fof(f305,plain,
! [X0,X1,X2,X3] :
( rintersect(X2,X3)
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| ! [X6] :
( ~ rcircle(X6)
| X2 != X6 )
| ! [X7] :
( ~ rcircle(X7)
| X3 != X7 )
| ~ ron(X0,X2)
| ( ~ rinside(X1,X2)
& ~ ron(X1,X2) )
| ~ rinside(X0,X3)
| ron(X1,X3)
| rinside(X1,X3) ),
inference(ennf_transformation,[],[f160]) ).
fof(f160,plain,
! [X0,X1,X2,X3] :
( ( ? [X4] :
( rpoint(X4)
& X0 = X4 )
& ? [X5] :
( rpoint(X5)
& X1 = X5 )
& ? [X6] :
( rcircle(X6)
& X2 = X6 )
& ? [X7] :
( rcircle(X7)
& X3 = X7 )
& ron(X0,X2)
& ( rinside(X1,X2)
| ron(X1,X2) )
& rinside(X0,X3)
& ~ ron(X1,X3)
& ~ rinside(X1,X3) )
=> rintersect(X2,X3) ),
inference(rectify,[],[f47]) ).
fof(f47,axiom,
! [X211,X212,X213,X214] :
( ( ? [X218] :
( rpoint(X218)
& X211 = X218 )
& ? [X217] :
( rpoint(X217)
& X212 = X217 )
& ? [X216] :
( rcircle(X216)
& X213 = X216 )
& ? [X215] :
( rcircle(X215)
& X214 = X215 )
& ron(X211,X213)
& ( rinside(X212,X213)
| ron(X212,X213) )
& rinside(X211,X214)
& ~ ron(X212,X214)
& ~ rinside(X212,X214) )
=> rintersect(X213,X214) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(133), 0), imp(cond(axiom(133), 0)))') ).
fof(f4302,plain,
spl57_214,
inference(avatar_split_clause,[],[f1029,f4300]) ).
fof(f4300,plain,
( spl57_214
<=> ! [X5,X4,X7,X6] :
( rintersect(X6,X7)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rcircle(X6)
| ~ rcircle(X7)
| ~ ron(X4,X6)
| ~ rinside(X5,X6)
| ~ rinside(X4,X7)
| ron(X5,X7)
| rinside(X5,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_214])]) ).
fof(f1029,plain,
! [X6,X7,X4,X5] :
( rintersect(X6,X7)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rcircle(X6)
| ~ rcircle(X7)
| ~ ron(X4,X6)
| ~ rinside(X5,X6)
| ~ rinside(X4,X7)
| ron(X5,X7)
| rinside(X5,X7) ),
inference(equality_resolution,[],[f1028]) ).
fof(f1028,plain,
! [X3,X6,X7,X4,X5] :
( rintersect(X6,X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rcircle(X6)
| ~ rcircle(X7)
| X3 != X7
| ~ ron(X4,X6)
| ~ rinside(X5,X6)
| ~ rinside(X4,X3)
| ron(X5,X3)
| rinside(X5,X3) ),
inference(equality_resolution,[],[f1027]) ).
fof(f1027,plain,
! [X2,X3,X6,X7,X4,X5] :
( rintersect(X2,X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rcircle(X6)
| X2 != X6
| ~ rcircle(X7)
| X3 != X7
| ~ ron(X4,X2)
| ~ rinside(X5,X2)
| ~ rinside(X4,X3)
| ron(X5,X3)
| rinside(X5,X3) ),
inference(equality_resolution,[],[f1026]) ).
fof(f1026,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( rintersect(X2,X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X1 != X5
| ~ rcircle(X6)
| X2 != X6
| ~ rcircle(X7)
| X3 != X7
| ~ ron(X4,X2)
| ~ rinside(X1,X2)
| ~ rinside(X4,X3)
| ron(X1,X3)
| rinside(X1,X3) ),
inference(equality_resolution,[],[f698]) ).
fof(f698,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( rintersect(X2,X3)
| ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X5)
| X1 != X5
| ~ rcircle(X6)
| X2 != X6
| ~ rcircle(X7)
| X3 != X7
| ~ ron(X0,X2)
| ~ rinside(X1,X2)
| ~ rinside(X0,X3)
| ron(X1,X3)
| rinside(X1,X3) ),
inference(cnf_transformation,[],[f306]) ).
fof(f4298,plain,
spl57_213,
inference(avatar_split_clause,[],[f910,f4296]) ).
fof(f4296,plain,
( spl57_213
<=> ! [X4,X5,X3] :
( vf(X4,X5) = vf(X3,vskolem1078(X3,X3,X4,X5))
| ~ rpoint(X3)
| X3 = X4
| X3 = X5
| ~ rpoint(X4)
| ~ rpoint(X5)
| X4 = X5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_213])]) ).
fof(f910,plain,
! [X3,X4,X5] :
( vf(X4,X5) = vf(X3,vskolem1078(X3,X3,X4,X5))
| ~ rpoint(X3)
| X3 = X4
| X3 = X5
| ~ rpoint(X4)
| ~ rpoint(X5)
| X4 = X5 ),
inference(equality_resolution,[],[f909]) ).
fof(f909,plain,
! [X3,X1,X4,X5] :
( vf(X4,X1) = vf(X3,vskolem1078(X3,X3,X4,X1))
| ~ rpoint(X3)
| X3 = X4
| X1 = X3
| ~ rpoint(X4)
| ~ rpoint(X5)
| X1 != X5
| X1 = X4 ),
inference(equality_resolution,[],[f908]) ).
fof(f908,plain,
! [X3,X0,X1,X4,X5] :
( vf(X0,X1) = vf(X3,vskolem1078(X3,X3,X0,X1))
| ~ rpoint(X3)
| X0 = X3
| X1 = X3
| ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X5)
| X1 != X5
| X0 = X1 ),
inference(equality_resolution,[],[f639]) ).
fof(f639,plain,
! [X2,X3,X0,X1,X4,X5] :
( vf(X0,X1) = vf(X2,vskolem1078(X2,X3,X0,X1))
| ~ rpoint(X3)
| X0 = X2
| X1 = X2
| X2 != X3
| ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X5)
| X1 != X5
| X0 = X1 ),
inference(cnf_transformation,[],[f482]) ).
fof(f482,plain,
! [X0,X1] :
( ! [X2,X3] :
( vf(X0,X1) = vf(X2,vskolem1078(X2,X3,X0,X1))
| ~ rpoint(X3)
| X0 = X2
| X1 = X2
| X2 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| X0 = X1 ),
inference(rectify,[],[f252]) ).
fof(f252,plain,
! [X0,X1] :
( ! [X4,X5] :
( vf(X0,X1) = vf(X4,vskolem1078(X4,X5,X0,X1))
| ~ rpoint(X5)
| X0 = X4
| X1 = X4
| X4 != X5 )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 )
| X0 = X1 ),
inference(flattening,[],[f251]) ).
fof(f251,plain,
! [X0,X1] :
( ! [X4,X5] :
( vf(X0,X1) = vf(X4,vskolem1078(X4,X5,X0,X1))
| ~ rpoint(X5)
| X0 = X4
| X1 = X4
| X4 != X5 )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 )
| X0 = X1 ),
inference(ennf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0,X1] :
( ( ? [X2] :
( rpoint(X2)
& X0 = X2 )
& ? [X3] :
( rpoint(X3)
& X1 = X3 )
& X0 != X1 )
=> ! [X4,X5] :
( ( rpoint(X5)
& X0 != X4
& X1 != X4
& X4 = X5 )
=> vf(X0,X1) = vf(X4,vskolem1078(X4,X5,X0,X1)) ) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X49,X50] :
( ( ? [X52] :
( rpoint(X52)
& X49 = X52 )
& ? [X51] :
( rpoint(X51)
& X50 = X51 )
& X49 != X50 )
=> ! [X53,X54] :
( ( rpoint(X54)
& X49 != X53
& X50 != X53
& X53 = X54 )
=> vf(X49,X50) = vf(X53,vskolem1078(X53,X54,X49,X50)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(219), 0), 0)') ).
fof(f4294,plain,
spl57_212,
inference(avatar_split_clause,[],[f1309,f4292]) ).
fof(f4292,plain,
( spl57_212
<=> ! [X7,X8,X5,X1] :
( rR(X8,X7,sK43(X7,X8,X5))
| ~ rline(X1)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ ron(X7,X1)
| ~ ron(X8,X1)
| ~ rpoint(X5)
| ~ rR(X8,X7,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_212])]) ).
fof(f1309,plain,
! [X1,X8,X7,X5] :
( rR(X8,X7,sK43(X7,X8,X5))
| ~ rline(X1)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ ron(X7,X1)
| ~ ron(X8,X1)
| ~ rpoint(X5)
| ~ rR(X8,X7,X5) ),
inference(equality_resolution,[],[f1308]) ).
fof(f1308,plain,
! [X1,X8,X7,X4,X5] :
( rR(X8,X7,sK43(X7,X8,X4))
| ~ rline(X1)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ ron(X7,X1)
| ~ ron(X8,X1)
| ~ rpoint(X5)
| ~ rR(X8,X7,X4)
| X4 != X5 ),
inference(equality_resolution,[],[f1307]) ).
fof(f1307,plain,
! [X3,X1,X8,X7,X4,X5] :
( rR(X3,X7,sK43(X7,X3,X4))
| ~ rline(X1)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X3 != X8
| ~ ron(X7,X1)
| ~ ron(X3,X1)
| ~ rpoint(X5)
| ~ rR(X3,X7,X4)
| X4 != X5 ),
inference(equality_resolution,[],[f1306]) ).
fof(f1306,plain,
! [X2,X3,X1,X8,X7,X4,X5] :
( rR(X3,X2,sK43(X2,X3,X4))
| ~ rline(X1)
| ~ rpoint(X7)
| X2 != X7
| ~ rpoint(X8)
| X3 != X8
| ~ ron(X2,X1)
| ~ ron(X3,X1)
| ~ rpoint(X5)
| ~ rR(X3,X2,X4)
| X4 != X5 ),
inference(equality_resolution,[],[f797]) ).
fof(f797,plain,
! [X2,X3,X0,X1,X8,X7,X4,X5] :
( rR(X3,X2,sK43(X2,X3,X4))
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X7)
| X2 != X7
| ~ rpoint(X8)
| X3 != X8
| ~ ron(X2,X0)
| ~ ron(X3,X0)
| ~ rpoint(X5)
| ~ rR(X3,X2,X4)
| X4 != X5 ),
inference(cnf_transformation,[],[f571]) ).
fof(f571,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( rpoint(sK43(X2,X3,X4))
& rR(X3,X2,sK43(X2,X3,X4))
& sK43(X2,X3,X4) != X4 )
| ~ rline(X1)
| X0 != X1
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| ! [X8] :
( ~ rpoint(X8)
| X3 != X8 )
| ~ ron(X2,X0)
| ~ ron(X3,X0)
| ~ rpoint(X5)
| ~ rR(X3,X2,X4)
| X4 != X5 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK43])],[f569,f570]) ).
fof(f570,plain,
! [X2,X3,X4] :
( ? [X6] :
( rpoint(X6)
& rR(X3,X2,X6)
& X4 != X6 )
=> ( rpoint(sK43(X2,X3,X4))
& rR(X3,X2,sK43(X2,X3,X4))
& sK43(X2,X3,X4) != X4 ) ),
introduced(choice_axiom,[]) ).
fof(f569,plain,
! [X0,X1,X2,X3,X4,X5] :
( ? [X6] :
( rpoint(X6)
& rR(X3,X2,X6)
& X4 != X6 )
| ~ rline(X1)
| X0 != X1
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| ! [X8] :
( ~ rpoint(X8)
| X3 != X8 )
| ~ ron(X2,X0)
| ~ ron(X3,X0)
| ~ rpoint(X5)
| ~ rR(X3,X2,X4)
| X4 != X5 ),
inference(rectify,[],[f404]) ).
fof(f404,plain,
! [X0,X1,X2,X3,X4,X5] :
( ? [X8] :
( rpoint(X8)
& rR(X3,X2,X8)
& X4 != X8 )
| ~ rline(X1)
| X0 != X1
| ! [X6] :
( ~ rpoint(X6)
| X2 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X3 != X7 )
| ~ ron(X2,X0)
| ~ ron(X3,X0)
| ~ rpoint(X5)
| ~ rR(X3,X2,X4)
| X4 != X5 ),
inference(flattening,[],[f403]) ).
fof(f403,plain,
! [X0,X1,X2,X3,X4,X5] :
( ? [X8] :
( rpoint(X8)
& rR(X3,X2,X8)
& X4 != X8 )
| ~ rline(X1)
| X0 != X1
| ! [X6] :
( ~ rpoint(X6)
| X2 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X3 != X7 )
| ~ ron(X2,X0)
| ~ ron(X3,X0)
| ~ rpoint(X5)
| ~ rR(X3,X2,X4)
| X4 != X5 ),
inference(ennf_transformation,[],[f211]) ).
fof(f211,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( rline(X1)
& X0 = X1
& ? [X6] :
( rpoint(X6)
& X2 = X6 )
& ? [X7] :
( rpoint(X7)
& X3 = X7 )
& ron(X2,X0)
& ron(X3,X0)
& rpoint(X5)
& rR(X3,X2,X4)
& X4 = X5 )
=> ? [X8] :
( rpoint(X8)
& rR(X3,X2,X8)
& X4 != X8 ) ),
inference(rectify,[],[f101]) ).
fof(f101,axiom,
! [X593,X594,X595,X596,X597,X598] :
( ( rline(X594)
& X593 = X594
& ? [X600] :
( rpoint(X600)
& X595 = X600 )
& ? [X599] :
( rpoint(X599)
& X596 = X599 )
& ron(X595,X593)
& ron(X596,X593)
& rpoint(X598)
& rR(X596,X595,X597)
& X597 = X598 )
=> ? [X601] :
( rpoint(X601)
& rR(X596,X595,X601)
& X597 != X601 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(31), 0), imp(cond(axiom(31), 0)))') ).
fof(f4230,plain,
( spl57_200
| spl57_211 ),
inference(avatar_split_clause,[],[f1152,f4228,f3683]) ).
fof(f1152,plain,
! [X8,X6,X7,X5] :
( rintersect(sK37(X7),X7)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rcircle(X7)
| ~ rcircle(X8)
| ~ ron(X5,X7)
| ~ ron(X6,X7)
| rS(X5,X6,sK38(X5,X6)) ),
inference(equality_resolution,[],[f1151]) ).
fof(f1151,plain,
! [X3,X8,X6,X7,X5] :
( rintersect(sK37(X7),X7)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rcircle(X7)
| ~ rcircle(X8)
| X3 != X8
| ~ ron(X5,X7)
| ~ ron(X6,X7)
| rS(X5,X6,sK38(X5,X6)) ),
inference(equality_resolution,[],[f1150]) ).
fof(f1150,plain,
! [X2,X3,X8,X6,X7,X5] :
( rintersect(sK37(X2),X2)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rcircle(X7)
| X2 != X7
| ~ rcircle(X8)
| X3 != X8
| ~ ron(X5,X2)
| ~ ron(X6,X2)
| rS(X5,X6,sK38(X5,X6)) ),
inference(equality_resolution,[],[f1149]) ).
fof(f1149,plain,
! [X2,X3,X1,X8,X6,X7,X5] :
( rintersect(sK37(X2),X2)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X1 != X6
| ~ rcircle(X7)
| X2 != X7
| ~ rcircle(X8)
| X3 != X8
| ~ ron(X5,X2)
| ~ ron(X1,X2)
| rS(X5,X1,sK38(X5,X1)) ),
inference(equality_resolution,[],[f751]) ).
fof(f751,plain,
! [X2,X3,X0,X1,X8,X6,X7,X5] :
( rintersect(sK37(X2),X2)
| ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X6)
| X1 != X6
| ~ rcircle(X7)
| X2 != X7
| ~ rcircle(X8)
| X3 != X8
| ~ ron(X0,X2)
| ~ ron(X1,X2)
| rS(X0,X1,sK38(X0,X1)) ),
inference(cnf_transformation,[],[f551]) ).
fof(f551,plain,
! [X0,X1,X2,X3] :
( rintersect(sK37(X2),X2)
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rcircle(X7)
| X2 != X7 )
| ! [X8] :
( ~ rcircle(X8)
| X3 != X8 )
| ( ~ rinside(X0,X2)
& ~ ron(X0,X2) )
| ( ~ rinside(X1,X2)
& ~ ron(X1,X2) )
| rS(X0,X1,sK38(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK37,sK38])],[f548,f550,f549]) ).
fof(f549,plain,
! [X2] :
( ? [X4] : rintersect(X4,X2)
=> rintersect(sK37(X2),X2) ),
introduced(choice_axiom,[]) ).
fof(f550,plain,
! [X0,X1] :
( ? [X9] : rS(X0,X1,X9)
=> rS(X0,X1,sK38(X0,X1)) ),
introduced(choice_axiom,[]) ).
fof(f548,plain,
! [X0,X1,X2,X3] :
( ? [X4] : rintersect(X4,X2)
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rcircle(X7)
| X2 != X7 )
| ! [X8] :
( ~ rcircle(X8)
| X3 != X8 )
| ( ~ rinside(X0,X2)
& ~ ron(X0,X2) )
| ( ~ rinside(X1,X2)
& ~ ron(X1,X2) )
| ? [X9] : rS(X0,X1,X9) ),
inference(rectify,[],[f362]) ).
fof(f362,plain,
! [X0,X1,X2,X3] :
( ? [X9] : rintersect(X9,X2)
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| ! [X6] :
( ~ rcircle(X6)
| X2 != X6 )
| ! [X7] :
( ~ rcircle(X7)
| X3 != X7 )
| ( ~ rinside(X0,X2)
& ~ ron(X0,X2) )
| ( ~ rinside(X1,X2)
& ~ ron(X1,X2) )
| ? [X8] : rS(X0,X1,X8) ),
inference(flattening,[],[f361]) ).
fof(f361,plain,
! [X0,X1,X2,X3] :
( ? [X9] : rintersect(X9,X2)
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| ! [X6] :
( ~ rcircle(X6)
| X2 != X6 )
| ! [X7] :
( ~ rcircle(X7)
| X3 != X7 )
| ( ~ rinside(X0,X2)
& ~ ron(X0,X2) )
| ( ~ rinside(X1,X2)
& ~ ron(X1,X2) )
| ? [X8] : rS(X0,X1,X8) ),
inference(ennf_transformation,[],[f189]) ).
fof(f189,plain,
! [X0,X1,X2,X3] :
( ( ? [X4] :
( rpoint(X4)
& X0 = X4 )
& ? [X5] :
( rpoint(X5)
& X1 = X5 )
& ? [X6] :
( rcircle(X6)
& X2 = X6 )
& ? [X7] :
( rcircle(X7)
& X3 = X7 )
& ( rinside(X0,X2)
| ron(X0,X2) )
& ( rinside(X1,X2)
| ron(X1,X2) )
& ~ ? [X8] : rS(X0,X1,X8) )
=> ? [X9] : rintersect(X9,X2) ),
inference(rectify,[],[f70]) ).
fof(f70,axiom,
! [X345,X346,X347,X348] :
( ( ? [X353] :
( rpoint(X353)
& X345 = X353 )
& ? [X352] :
( rpoint(X352)
& X346 = X352 )
& ? [X351] :
( rcircle(X351)
& X347 = X351 )
& ? [X350] :
( rcircle(X350)
& X348 = X350 )
& ( rinside(X345,X347)
| ron(X345,X347) )
& ( rinside(X346,X347)
| ron(X346,X347) )
& ~ ? [X349] : rS(X345,X346,X349) )
=> ? [X354] : rintersect(X354,X347) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(129), 0), imp(cond(axiom(129), 0)))') ).
fof(f4224,plain,
( spl57_200
| spl57_210 ),
inference(avatar_split_clause,[],[f1148,f4222,f3683]) ).
fof(f1148,plain,
! [X8,X6,X7,X5] :
( rintersect(sK37(X7),X7)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rcircle(X7)
| ~ rcircle(X8)
| ~ ron(X5,X7)
| ~ rinside(X6,X7)
| rS(X5,X6,sK38(X5,X6)) ),
inference(equality_resolution,[],[f1147]) ).
fof(f1147,plain,
! [X3,X8,X6,X7,X5] :
( rintersect(sK37(X7),X7)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rcircle(X7)
| ~ rcircle(X8)
| X3 != X8
| ~ ron(X5,X7)
| ~ rinside(X6,X7)
| rS(X5,X6,sK38(X5,X6)) ),
inference(equality_resolution,[],[f1146]) ).
fof(f1146,plain,
! [X2,X3,X8,X6,X7,X5] :
( rintersect(sK37(X2),X2)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rcircle(X7)
| X2 != X7
| ~ rcircle(X8)
| X3 != X8
| ~ ron(X5,X2)
| ~ rinside(X6,X2)
| rS(X5,X6,sK38(X5,X6)) ),
inference(equality_resolution,[],[f1145]) ).
fof(f1145,plain,
! [X2,X3,X1,X8,X6,X7,X5] :
( rintersect(sK37(X2),X2)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X1 != X6
| ~ rcircle(X7)
| X2 != X7
| ~ rcircle(X8)
| X3 != X8
| ~ ron(X5,X2)
| ~ rinside(X1,X2)
| rS(X5,X1,sK38(X5,X1)) ),
inference(equality_resolution,[],[f752]) ).
fof(f752,plain,
! [X2,X3,X0,X1,X8,X6,X7,X5] :
( rintersect(sK37(X2),X2)
| ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X6)
| X1 != X6
| ~ rcircle(X7)
| X2 != X7
| ~ rcircle(X8)
| X3 != X8
| ~ ron(X0,X2)
| ~ rinside(X1,X2)
| rS(X0,X1,sK38(X0,X1)) ),
inference(cnf_transformation,[],[f551]) ).
fof(f3980,plain,
( spl57_209
| spl57_15
| ~ spl57_9
| ~ spl57_3
| ~ spl57_197 ),
inference(avatar_split_clause,[],[f3856,f3272,f1647,f1677,f1707,f3977]) ).
fof(f3977,plain,
( spl57_209
<=> vd684 = vf(sK24(sK8,sK6),sK24(sK8,sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_209])]) ).
fof(f3272,plain,
( spl57_197
<=> ! [X0] :
( sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5)
| vd684 = vf(sK24(X0,sK6),sK24(X0,sK6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_197])]) ).
fof(f3856,plain,
( ~ rpoint(sK8)
| sK6 = sK8
| vd684 = vf(sK24(sK8,sK6),sK24(sK8,sK6))
| ~ spl57_3
| ~ spl57_197 ),
inference(resolution,[],[f3273,f1649]) ).
fof(f3273,plain,
( ! [X0] :
( ~ ron(X0,sK5)
| ~ rpoint(X0)
| sK6 = X0
| vd684 = vf(sK24(X0,sK6),sK24(X0,sK6)) )
| ~ spl57_197 ),
inference(avatar_component_clause,[],[f3272]) ).
fof(f3780,plain,
( spl57_208
| spl57_15
| ~ spl57_11
| ~ spl57_4
| ~ spl57_196 ),
inference(avatar_split_clause,[],[f3690,f3238,f1652,f1687,f1707,f3777]) ).
fof(f3777,plain,
( spl57_208
<=> vd684 = vf(sK24(sK6,sK8),sK24(sK6,sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_208])]) ).
fof(f3238,plain,
( spl57_196
<=> ! [X0] :
( sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5)
| vd684 = vf(sK24(X0,sK8),sK24(X0,sK8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_196])]) ).
fof(f3690,plain,
( ~ rpoint(sK6)
| sK6 = sK8
| vd684 = vf(sK24(sK6,sK8),sK24(sK6,sK8))
| ~ spl57_4
| ~ spl57_196 ),
inference(resolution,[],[f3239,f1654]) ).
fof(f3239,plain,
( ! [X0] :
( ~ ron(X0,sK5)
| ~ rpoint(X0)
| sK8 = X0
| vd684 = vf(sK24(X0,sK8),sK24(X0,sK8)) )
| ~ spl57_196 ),
inference(avatar_component_clause,[],[f3238]) ).
fof(f3738,plain,
( spl57_207
| ~ spl57_35
| ~ spl57_200 ),
inference(avatar_split_clause,[],[f3717,f3683,f1794,f3736]) ).
fof(f3736,plain,
( spl57_207
<=> ! [X0,X1] : ~ rcenter(X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_207])]) ).
fof(f1794,plain,
( spl57_35
<=> ! [X0,X1] :
( rcircle(sK10(X0,X1))
| ~ rcenter(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_35])]) ).
fof(f3717,plain,
( ! [X0,X1] : ~ rcenter(X0,X1)
| ~ spl57_35
| ~ spl57_200 ),
inference(resolution,[],[f3684,f1795]) ).
fof(f1795,plain,
( ! [X0,X1] :
( rcircle(sK10(X0,X1))
| ~ rcenter(X0,X1) )
| ~ spl57_35 ),
inference(avatar_component_clause,[],[f1794]) ).
fof(f3734,plain,
spl57_206,
inference(avatar_split_clause,[],[f1233,f3732]) ).
fof(f3732,plain,
( spl57_206
<=> ! [X7,X8,X6,X1] :
( rR(sK41(X6,X7,X8),X6,X7)
| ~ rline(X1)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ ron(X6,X1)
| ~ ron(X7,X1)
| ~ rR(X8,X6,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_206])]) ).
fof(f1233,plain,
! [X1,X8,X6,X7] :
( rR(sK41(X6,X7,X8),X6,X7)
| ~ rline(X1)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ ron(X6,X1)
| ~ ron(X7,X1)
| ~ rR(X8,X6,X7) ),
inference(equality_resolution,[],[f1232]) ).
fof(f1232,plain,
! [X1,X8,X6,X7,X4] :
( rR(sK41(X6,X7,X4),X6,X7)
| ~ rline(X1)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X4 != X8
| ~ ron(X6,X1)
| ~ ron(X7,X1)
| ~ rR(X4,X6,X7) ),
inference(equality_resolution,[],[f1231]) ).
fof(f1231,plain,
! [X3,X1,X8,X6,X7,X4] :
( rR(sK41(X6,X3,X4),X6,X3)
| ~ rline(X1)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X3 != X7
| ~ rpoint(X8)
| X4 != X8
| ~ ron(X6,X1)
| ~ ron(X3,X1)
| ~ rR(X4,X6,X3) ),
inference(equality_resolution,[],[f1230]) ).
fof(f1230,plain,
! [X2,X3,X1,X8,X6,X7,X4] :
( rR(sK41(X2,X3,X4),X2,X3)
| ~ rline(X1)
| ~ rpoint(X6)
| X2 != X6
| ~ rpoint(X7)
| X3 != X7
| ~ rpoint(X8)
| X4 != X8
| ~ ron(X2,X1)
| ~ ron(X3,X1)
| ~ rR(X4,X2,X3) ),
inference(equality_resolution,[],[f779]) ).
fof(f779,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4] :
( rR(sK41(X2,X3,X4),X2,X3)
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X6)
| X2 != X6
| ~ rpoint(X7)
| X3 != X7
| ~ rpoint(X8)
| X4 != X8
| ~ ron(X2,X0)
| ~ ron(X3,X0)
| ~ rR(X4,X2,X3) ),
inference(cnf_transformation,[],[f562]) ).
fof(f562,plain,
! [X0,X1,X2,X3,X4] :
( ( rpoint(sK41(X2,X3,X4))
& rR(sK41(X2,X3,X4),X2,X3)
& sK41(X2,X3,X4) != X4 )
| ~ rline(X1)
| X0 != X1
| ! [X6] :
( ~ rpoint(X6)
| X2 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X3 != X7 )
| ! [X8] :
( ~ rpoint(X8)
| X4 != X8 )
| ~ ron(X2,X0)
| ~ ron(X3,X0)
| ~ rR(X4,X2,X3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK41])],[f560,f561]) ).
fof(f561,plain,
! [X2,X3,X4] :
( ? [X5] :
( rpoint(X5)
& rR(X5,X2,X3)
& X4 != X5 )
=> ( rpoint(sK41(X2,X3,X4))
& rR(sK41(X2,X3,X4),X2,X3)
& sK41(X2,X3,X4) != X4 ) ),
introduced(choice_axiom,[]) ).
fof(f560,plain,
! [X0,X1,X2,X3,X4] :
( ? [X5] :
( rpoint(X5)
& rR(X5,X2,X3)
& X4 != X5 )
| ~ rline(X1)
| X0 != X1
| ! [X6] :
( ~ rpoint(X6)
| X2 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X3 != X7 )
| ! [X8] :
( ~ rpoint(X8)
| X4 != X8 )
| ~ ron(X2,X0)
| ~ ron(X3,X0)
| ~ rR(X4,X2,X3) ),
inference(rectify,[],[f386]) ).
fof(f386,plain,
! [X0,X1,X2,X3,X4] :
( ? [X8] :
( rpoint(X8)
& rR(X8,X2,X3)
& X4 != X8 )
| ~ rline(X1)
| X0 != X1
| ! [X5] :
( ~ rpoint(X5)
| X2 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X3 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X4 != X7 )
| ~ ron(X2,X0)
| ~ ron(X3,X0)
| ~ rR(X4,X2,X3) ),
inference(flattening,[],[f385]) ).
fof(f385,plain,
! [X0,X1,X2,X3,X4] :
( ? [X8] :
( rpoint(X8)
& rR(X8,X2,X3)
& X4 != X8 )
| ~ rline(X1)
| X0 != X1
| ! [X5] :
( ~ rpoint(X5)
| X2 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X3 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X4 != X7 )
| ~ ron(X2,X0)
| ~ ron(X3,X0)
| ~ rR(X4,X2,X3) ),
inference(ennf_transformation,[],[f201]) ).
fof(f201,plain,
! [X0,X1,X2,X3,X4] :
( ( rline(X1)
& X0 = X1
& ? [X5] :
( rpoint(X5)
& X2 = X5 )
& ? [X6] :
( rpoint(X6)
& X3 = X6 )
& ? [X7] :
( rpoint(X7)
& X4 = X7 )
& ron(X2,X0)
& ron(X3,X0)
& rR(X4,X2,X3) )
=> ? [X8] :
( rpoint(X8)
& rR(X8,X2,X3)
& X4 != X8 ) ),
inference(rectify,[],[f104]) ).
fof(f104,axiom,
! [X620,X621,X622,X623,X624] :
( ( rline(X621)
& X620 = X621
& ? [X627] :
( rpoint(X627)
& X622 = X627 )
& ? [X626] :
( rpoint(X626)
& X623 = X626 )
& ? [X625] :
( rpoint(X625)
& X624 = X625 )
& ron(X622,X620)
& ron(X623,X620)
& rR(X624,X622,X623) )
=> ? [X628] :
( rpoint(X628)
& rR(X628,X622,X623)
& X624 != X628 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(25), 0), imp(cond(axiom(25), 0)))') ).
fof(f3730,plain,
spl57_205,
inference(avatar_split_clause,[],[f1529,f3728]) ).
fof(f3728,plain,
( spl57_205
<=> ! [X3,X7,X5,X1] :
( sP3(X1,X3,X5,X7)
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X3,X1)
| ~ rpoint(X5)
| ~ rS(X5,X3,X1)
| ~ rpoint(X7)
| ~ rS(X7,X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_205])]) ).
fof(f1529,plain,
! [X3,X1,X7,X5] :
( sP3(X1,X3,X5,X7)
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X3,X1)
| ~ rpoint(X5)
| ~ rS(X5,X3,X1)
| ~ rpoint(X7)
| ~ rS(X7,X3,X1) ),
inference(equality_resolution,[],[f1528]) ).
fof(f1528,plain,
! [X2,X3,X1,X7,X5] :
( sP3(X1,X2,X5,X7)
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X2,X1)
| ~ rpoint(X5)
| ~ rS(X5,X2,X1)
| ~ rpoint(X7)
| ~ rS(X7,X2,X1)
| X2 != X3 ),
inference(equality_resolution,[],[f1527]) ).
fof(f1527,plain,
! [X2,X3,X1,X7,X4,X5] :
( sP3(X1,X2,X4,X7)
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X2,X1)
| ~ rpoint(X5)
| ~ rS(X4,X2,X1)
| ~ rpoint(X7)
| ~ rS(X7,X2,X1)
| X4 != X5
| X2 != X3 ),
inference(equality_resolution,[],[f1526]) ).
fof(f1526,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( sP3(X1,X2,X4,X6)
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X2,X1)
| ~ rpoint(X5)
| ~ rS(X4,X2,X1)
| ~ rpoint(X7)
| ~ rS(X6,X2,X1)
| X6 != X7
| X4 != X5
| X2 != X3 ),
inference(equality_resolution,[],[f851]) ).
fof(f851,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( sP3(X0,X2,X4,X6)
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X3)
| ron(X2,X0)
| ~ rpoint(X5)
| ~ rS(X4,X2,X0)
| ~ rpoint(X7)
| ~ rS(X6,X2,X0)
| X6 != X7
| X4 != X5
| X2 != X3 ),
inference(cnf_transformation,[],[f470]) ).
fof(f470,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sP3(X0,X2,X4,X6)
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X3)
| ron(X2,X0)
| ~ rpoint(X5)
| ~ rS(X4,X2,X0)
| ~ rpoint(X7)
| ~ rS(X6,X2,X0)
| X6 != X7
| X4 != X5
| X2 != X3 ),
inference(definition_folding,[],[f444,f469]) ).
fof(f469,plain,
! [X0,X2,X4,X6] :
( ? [X8] :
( rpoint(X8)
& rS(X8,X2,X0)
& X2 != X8
& X4 != X8
& X6 != X8 )
| ~ sP3(X0,X2,X4,X6) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f444,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ? [X8] :
( rpoint(X8)
& rS(X8,X2,X0)
& X2 != X8
& X4 != X8
& X6 != X8 )
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X3)
| ron(X2,X0)
| ~ rpoint(X5)
| ~ rS(X4,X2,X0)
| ~ rpoint(X7)
| ~ rS(X6,X2,X0)
| X6 != X7
| X4 != X5
| X2 != X3 ),
inference(flattening,[],[f443]) ).
fof(f443,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ? [X8] :
( rpoint(X8)
& rS(X8,X2,X0)
& X2 != X8
& X4 != X8
& X6 != X8 )
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X3)
| ron(X2,X0)
| ~ rpoint(X5)
| ~ rS(X4,X2,X0)
| ~ rpoint(X7)
| ~ rS(X6,X2,X0)
| X6 != X7
| X4 != X5
| X2 != X3 ),
inference(ennf_transformation,[],[f231]) ).
fof(f231,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( rline(X1)
& X0 = X1
& rpoint(X3)
& ~ ron(X2,X0)
& rpoint(X5)
& rS(X4,X2,X0)
& rpoint(X7)
& rS(X6,X2,X0)
& X6 = X7
& X4 = X5
& X2 = X3 )
=> ? [X8] :
( rpoint(X8)
& rS(X8,X2,X0)
& X2 != X8
& X4 != X8
& X6 != X8 ) ),
inference(rectify,[],[f98]) ).
fof(f98,axiom,
! [X572,X573,X574,X575,X576,X577,X578,X579] :
( ( rline(X573)
& X572 = X573
& rpoint(X575)
& ~ ron(X574,X572)
& rpoint(X577)
& rS(X576,X574,X572)
& rpoint(X579)
& rS(X578,X574,X572)
& X578 = X579
& X576 = X577
& X574 = X575 )
=> ? [X580] :
( rpoint(X580)
& rS(X580,X574,X572)
& X574 != X580
& X576 != X580
& X578 != X580 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(37), 0), imp(cond(axiom(37), 0)))') ).
fof(f3726,plain,
spl57_204,
inference(avatar_split_clause,[],[f1313,f3724]) ).
fof(f3724,plain,
( spl57_204
<=> ! [X7,X8,X5,X1] :
( sK43(X7,X8,X5) != X5
| ~ rline(X1)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ ron(X7,X1)
| ~ ron(X8,X1)
| ~ rpoint(X5)
| ~ rR(X8,X7,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_204])]) ).
fof(f1313,plain,
! [X1,X8,X7,X5] :
( sK43(X7,X8,X5) != X5
| ~ rline(X1)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ ron(X7,X1)
| ~ ron(X8,X1)
| ~ rpoint(X5)
| ~ rR(X8,X7,X5) ),
inference(equality_resolution,[],[f1312]) ).
fof(f1312,plain,
! [X1,X8,X7,X4,X5] :
( sK43(X7,X8,X4) != X4
| ~ rline(X1)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ ron(X7,X1)
| ~ ron(X8,X1)
| ~ rpoint(X5)
| ~ rR(X8,X7,X4)
| X4 != X5 ),
inference(equality_resolution,[],[f1311]) ).
fof(f1311,plain,
! [X3,X1,X8,X7,X4,X5] :
( sK43(X7,X3,X4) != X4
| ~ rline(X1)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X3 != X8
| ~ ron(X7,X1)
| ~ ron(X3,X1)
| ~ rpoint(X5)
| ~ rR(X3,X7,X4)
| X4 != X5 ),
inference(equality_resolution,[],[f1310]) ).
fof(f1310,plain,
! [X2,X3,X1,X8,X7,X4,X5] :
( sK43(X2,X3,X4) != X4
| ~ rline(X1)
| ~ rpoint(X7)
| X2 != X7
| ~ rpoint(X8)
| X3 != X8
| ~ ron(X2,X1)
| ~ ron(X3,X1)
| ~ rpoint(X5)
| ~ rR(X3,X2,X4)
| X4 != X5 ),
inference(equality_resolution,[],[f796]) ).
fof(f796,plain,
! [X2,X3,X0,X1,X8,X7,X4,X5] :
( sK43(X2,X3,X4) != X4
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X7)
| X2 != X7
| ~ rpoint(X8)
| X3 != X8
| ~ ron(X2,X0)
| ~ ron(X3,X0)
| ~ rpoint(X5)
| ~ rR(X3,X2,X4)
| X4 != X5 ),
inference(cnf_transformation,[],[f571]) ).
fof(f3722,plain,
spl57_203,
inference(avatar_split_clause,[],[f1237,f3720]) ).
fof(f3720,plain,
( spl57_203
<=> ! [X7,X8,X6,X1] :
( sK41(X6,X7,X8) != X8
| ~ rline(X1)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ ron(X6,X1)
| ~ ron(X7,X1)
| ~ rR(X8,X6,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_203])]) ).
fof(f1237,plain,
! [X1,X8,X6,X7] :
( sK41(X6,X7,X8) != X8
| ~ rline(X1)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ ron(X6,X1)
| ~ ron(X7,X1)
| ~ rR(X8,X6,X7) ),
inference(equality_resolution,[],[f1236]) ).
fof(f1236,plain,
! [X1,X8,X6,X7,X4] :
( sK41(X6,X7,X4) != X4
| ~ rline(X1)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X4 != X8
| ~ ron(X6,X1)
| ~ ron(X7,X1)
| ~ rR(X4,X6,X7) ),
inference(equality_resolution,[],[f1235]) ).
fof(f1235,plain,
! [X3,X1,X8,X6,X7,X4] :
( sK41(X6,X3,X4) != X4
| ~ rline(X1)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X3 != X7
| ~ rpoint(X8)
| X4 != X8
| ~ ron(X6,X1)
| ~ ron(X3,X1)
| ~ rR(X4,X6,X3) ),
inference(equality_resolution,[],[f1234]) ).
fof(f1234,plain,
! [X2,X3,X1,X8,X6,X7,X4] :
( sK41(X2,X3,X4) != X4
| ~ rline(X1)
| ~ rpoint(X6)
| X2 != X6
| ~ rpoint(X7)
| X3 != X7
| ~ rpoint(X8)
| X4 != X8
| ~ ron(X2,X1)
| ~ ron(X3,X1)
| ~ rR(X4,X2,X3) ),
inference(equality_resolution,[],[f778]) ).
fof(f778,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4] :
( sK41(X2,X3,X4) != X4
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X6)
| X2 != X6
| ~ rpoint(X7)
| X3 != X7
| ~ rpoint(X8)
| X4 != X8
| ~ ron(X2,X0)
| ~ ron(X3,X0)
| ~ rR(X4,X2,X3) ),
inference(cnf_transformation,[],[f562]) ).
fof(f3716,plain,
( spl57_200
| spl57_202 ),
inference(avatar_split_clause,[],[f1144,f3714,f3683]) ).
fof(f1144,plain,
! [X8,X6,X7,X5] :
( rintersect(sK37(X7),X7)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rcircle(X7)
| ~ rcircle(X8)
| ~ rinside(X5,X7)
| ~ ron(X6,X7)
| rS(X5,X6,sK38(X5,X6)) ),
inference(equality_resolution,[],[f1143]) ).
fof(f1143,plain,
! [X3,X8,X6,X7,X5] :
( rintersect(sK37(X7),X7)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rcircle(X7)
| ~ rcircle(X8)
| X3 != X8
| ~ rinside(X5,X7)
| ~ ron(X6,X7)
| rS(X5,X6,sK38(X5,X6)) ),
inference(equality_resolution,[],[f1142]) ).
fof(f1142,plain,
! [X2,X3,X8,X6,X7,X5] :
( rintersect(sK37(X2),X2)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rcircle(X7)
| X2 != X7
| ~ rcircle(X8)
| X3 != X8
| ~ rinside(X5,X2)
| ~ ron(X6,X2)
| rS(X5,X6,sK38(X5,X6)) ),
inference(equality_resolution,[],[f1141]) ).
fof(f1141,plain,
! [X2,X3,X1,X8,X6,X7,X5] :
( rintersect(sK37(X2),X2)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X1 != X6
| ~ rcircle(X7)
| X2 != X7
| ~ rcircle(X8)
| X3 != X8
| ~ rinside(X5,X2)
| ~ ron(X1,X2)
| rS(X5,X1,sK38(X5,X1)) ),
inference(equality_resolution,[],[f753]) ).
fof(f753,plain,
! [X2,X3,X0,X1,X8,X6,X7,X5] :
( rintersect(sK37(X2),X2)
| ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X6)
| X1 != X6
| ~ rcircle(X7)
| X2 != X7
| ~ rcircle(X8)
| X3 != X8
| ~ rinside(X0,X2)
| ~ ron(X1,X2)
| rS(X0,X1,sK38(X0,X1)) ),
inference(cnf_transformation,[],[f551]) ).
fof(f3688,plain,
( spl57_200
| spl57_201 ),
inference(avatar_split_clause,[],[f1140,f3686,f3683]) ).
fof(f1140,plain,
! [X8,X6,X7,X5] :
( rintersect(sK37(X7),X7)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rcircle(X7)
| ~ rcircle(X8)
| ~ rinside(X5,X7)
| ~ rinside(X6,X7)
| rS(X5,X6,sK38(X5,X6)) ),
inference(equality_resolution,[],[f1139]) ).
fof(f1139,plain,
! [X3,X8,X6,X7,X5] :
( rintersect(sK37(X7),X7)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rcircle(X7)
| ~ rcircle(X8)
| X3 != X8
| ~ rinside(X5,X7)
| ~ rinside(X6,X7)
| rS(X5,X6,sK38(X5,X6)) ),
inference(equality_resolution,[],[f1138]) ).
fof(f1138,plain,
! [X2,X3,X8,X6,X7,X5] :
( rintersect(sK37(X2),X2)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rcircle(X7)
| X2 != X7
| ~ rcircle(X8)
| X3 != X8
| ~ rinside(X5,X2)
| ~ rinside(X6,X2)
| rS(X5,X6,sK38(X5,X6)) ),
inference(equality_resolution,[],[f1137]) ).
fof(f1137,plain,
! [X2,X3,X1,X8,X6,X7,X5] :
( rintersect(sK37(X2),X2)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X1 != X6
| ~ rcircle(X7)
| X2 != X7
| ~ rcircle(X8)
| X3 != X8
| ~ rinside(X5,X2)
| ~ rinside(X1,X2)
| rS(X5,X1,sK38(X5,X1)) ),
inference(equality_resolution,[],[f754]) ).
fof(f754,plain,
! [X2,X3,X0,X1,X8,X6,X7,X5] :
( rintersect(sK37(X2),X2)
| ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X6)
| X1 != X6
| ~ rcircle(X7)
| X2 != X7
| ~ rcircle(X8)
| X3 != X8
| ~ rinside(X0,X2)
| ~ rinside(X1,X2)
| rS(X0,X1,sK38(X0,X1)) ),
inference(cnf_transformation,[],[f551]) ).
fof(f3570,plain,
( spl57_199
| ~ spl57_44
| ~ spl57_195 ),
inference(avatar_split_clause,[],[f3208,f3165,f1832,f3568]) ).
fof(f3208,plain,
( ! [X0] :
( sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5)
| vd684 = vf(sK25(X0,sK6),sK25(X0,sK6)) )
| ~ spl57_44
| ~ spl57_195 ),
inference(resolution,[],[f3166,f1833]) ).
fof(f3396,plain,
( spl57_198
| ~ spl57_44
| ~ spl57_183 ),
inference(avatar_split_clause,[],[f3077,f2991,f1832,f3394]) ).
fof(f3077,plain,
( ! [X0] :
( sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5)
| vd684 = vf(sK25(X0,sK8),sK25(X0,sK8)) )
| ~ spl57_44
| ~ spl57_183 ),
inference(resolution,[],[f2992,f1833]) ).
fof(f3274,plain,
( spl57_197
| ~ spl57_44
| ~ spl57_172 ),
inference(avatar_split_clause,[],[f2843,f2791,f1832,f3272]) ).
fof(f2843,plain,
( ! [X0] :
( sK6 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5)
| vd684 = vf(sK24(X0,sK6),sK24(X0,sK6)) )
| ~ spl57_44
| ~ spl57_172 ),
inference(resolution,[],[f2792,f1833]) ).
fof(f3240,plain,
( spl57_196
| ~ spl57_44
| ~ spl57_161 ),
inference(avatar_split_clause,[],[f2744,f2682,f1832,f3238]) ).
fof(f2744,plain,
( ! [X0] :
( sK8 = X0
| ~ rpoint(X0)
| ~ ron(X0,sK5)
| vd684 = vf(sK24(X0,sK8),sK24(X0,sK8)) )
| ~ spl57_44
| ~ spl57_161 ),
inference(resolution,[],[f2683,f1833]) ).
fof(f3167,plain,
( ~ spl57_11
| spl57_195
| ~ spl57_1
| ~ spl57_4
| ~ spl57_156 ),
inference(avatar_split_clause,[],[f2710,f2624,f1652,f1637,f3165,f1687]) ).
fof(f2710,plain,
( ! [X0] :
( ~ rline(sK5)
| ~ rpoint(X0)
| ~ rpoint(sK6)
| ~ ron(X0,sK5)
| rpoint(sK25(X0,sK6))
| sK6 = X0 )
| ~ spl57_4
| ~ spl57_156 ),
inference(resolution,[],[f2625,f1654]) ).
fof(f3163,plain,
( ~ spl57_12
| ~ spl57_192 ),
inference(avatar_contradiction_clause,[],[f3157]) ).
fof(f3157,plain,
( $false
| ~ spl57_12
| ~ spl57_192 ),
inference(resolution,[],[f3148,f1694]) ).
fof(f1694,plain,
( rline(vd1416)
| ~ spl57_12 ),
inference(avatar_component_clause,[],[f1692]) ).
fof(f3148,plain,
( ! [X4] : ~ rline(X4)
| ~ spl57_192 ),
inference(avatar_component_clause,[],[f3147]) ).
fof(f3147,plain,
( spl57_192
<=> ! [X4] : ~ rline(X4) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_192])]) ).
fof(f3162,plain,
( ~ spl57_8
| ~ spl57_192 ),
inference(avatar_contradiction_clause,[],[f3158]) ).
fof(f3158,plain,
( $false
| ~ spl57_8
| ~ spl57_192 ),
inference(resolution,[],[f3148,f1674]) ).
fof(f1674,plain,
( rline(vd1407)
| ~ spl57_8 ),
inference(avatar_component_clause,[],[f1672]) ).
fof(f3161,plain,
( ~ spl57_1
| ~ spl57_192 ),
inference(avatar_contradiction_clause,[],[f3159]) ).
fof(f3159,plain,
( $false
| ~ spl57_1
| ~ spl57_192 ),
inference(resolution,[],[f3148,f1639]) ).
fof(f3156,plain,
( spl57_192
| spl57_194 ),
inference(avatar_split_clause,[],[f1497,f3154,f3147]) ).
fof(f3154,plain,
( spl57_194
<=> ! [X9,X7,X6,X8] :
( rinside(X9,X6)
| ~ rR(X9,X7,X8)
| ~ rcircle(X6)
| ~ rpoint(X9)
| ~ rpoint(X8)
| ~ rinside(X8,X6)
| ~ rpoint(X7)
| ~ ron(X7,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_194])]) ).
fof(f1497,plain,
! [X8,X6,X9,X7,X4] :
( rinside(X9,X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rline(X4)
| ~ rcircle(X6)
| ~ ron(X7,X6)
| ~ rinside(X8,X6)
| ~ rR(X9,X7,X8) ),
inference(equality_resolution,[],[f1496]) ).
fof(f1496,plain,
! [X8,X6,X9,X7,X4,X5] :
( rinside(X9,X5)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rline(X4)
| ~ rcircle(X6)
| X5 != X6
| ~ ron(X7,X5)
| ~ rinside(X8,X5)
| ~ rR(X9,X7,X8) ),
inference(equality_resolution,[],[f1495]) ).
fof(f1495,plain,
! [X3,X8,X6,X9,X7,X4,X5] :
( rinside(X9,X5)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rline(X4)
| X3 != X4
| ~ rcircle(X6)
| X5 != X6
| ~ ron(X7,X5)
| ~ rinside(X8,X5)
| ~ rR(X9,X7,X8) ),
inference(equality_resolution,[],[f1494]) ).
fof(f1494,plain,
! [X2,X3,X8,X6,X9,X7,X4,X5] :
( rinside(X2,X5)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X2 != X9
| ~ rline(X4)
| X3 != X4
| ~ rcircle(X6)
| X5 != X6
| ~ ron(X7,X5)
| ~ rinside(X8,X5)
| ~ rR(X2,X7,X8) ),
inference(equality_resolution,[],[f1493]) ).
fof(f1493,plain,
! [X2,X3,X1,X8,X6,X9,X7,X4,X5] :
( rinside(X2,X5)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X1 != X8
| ~ rpoint(X9)
| X2 != X9
| ~ rline(X4)
| X3 != X4
| ~ rcircle(X6)
| X5 != X6
| ~ ron(X7,X5)
| ~ rinside(X1,X5)
| ~ rR(X2,X7,X1) ),
inference(equality_resolution,[],[f838]) ).
fof(f838,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( rinside(X2,X5)
| ~ rpoint(X7)
| X0 != X7
| ~ rpoint(X8)
| X1 != X8
| ~ rpoint(X9)
| X2 != X9
| ~ rline(X4)
| X3 != X4
| ~ rcircle(X6)
| X5 != X6
| ~ ron(X0,X5)
| ~ rinside(X1,X5)
| ~ rR(X2,X0,X1) ),
inference(cnf_transformation,[],[f438]) ).
fof(f438,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( rinside(X2,X5)
| ! [X7] :
( ~ rpoint(X7)
| X0 != X7 )
| ! [X8] :
( ~ rpoint(X8)
| X1 != X8 )
| ! [X9] :
( ~ rpoint(X9)
| X2 != X9 )
| ~ rline(X4)
| X3 != X4
| ~ rcircle(X6)
| X5 != X6
| ( ~ rinside(X0,X5)
& ~ ron(X0,X5) )
| ( ~ rinside(X1,X5)
& ~ ron(X1,X5) )
| ~ rR(X2,X0,X1) ),
inference(flattening,[],[f437]) ).
fof(f437,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( rinside(X2,X5)
| ! [X7] :
( ~ rpoint(X7)
| X0 != X7 )
| ! [X8] :
( ~ rpoint(X8)
| X1 != X8 )
| ! [X9] :
( ~ rpoint(X9)
| X2 != X9 )
| ~ rline(X4)
| X3 != X4
| ~ rcircle(X6)
| X5 != X6
| ( ~ rinside(X0,X5)
& ~ ron(X0,X5) )
| ( ~ rinside(X1,X5)
& ~ ron(X1,X5) )
| ~ rR(X2,X0,X1) ),
inference(ennf_transformation,[],[f228]) ).
fof(f228,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ? [X7] :
( rpoint(X7)
& X0 = X7 )
& ? [X8] :
( rpoint(X8)
& X1 = X8 )
& ? [X9] :
( rpoint(X9)
& X2 = X9 )
& rline(X4)
& X3 = X4
& rcircle(X6)
& X5 = X6
& ( rinside(X0,X5)
| ron(X0,X5) )
& ( rinside(X1,X5)
| ron(X1,X5) )
& rR(X2,X0,X1) )
=> rinside(X2,X5) ),
inference(rectify,[],[f74]) ).
fof(f74,axiom,
! [X383,X384,X385,X386,X387,X388,X389] :
( ( ? [X392] :
( rpoint(X392)
& X383 = X392 )
& ? [X391] :
( rpoint(X391)
& X384 = X391 )
& ? [X390] :
( rpoint(X390)
& X385 = X390 )
& rline(X387)
& X386 = X387
& rcircle(X389)
& X388 = X389
& ( rinside(X383,X388)
| ron(X383,X388) )
& ( rinside(X384,X388)
| ron(X384,X388) )
& rR(X385,X383,X384) )
=> rinside(X385,X388) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(121), 0), imp(cond(axiom(121), 0)))') ).
fof(f3152,plain,
( spl57_192
| spl57_193 ),
inference(avatar_split_clause,[],[f1487,f3150,f3147]) ).
fof(f3150,plain,
( spl57_193
<=> ! [X9,X7,X6,X8] :
( rinside(X9,X6)
| ~ rR(X9,X7,X8)
| ~ rcircle(X6)
| ~ rpoint(X9)
| ~ rpoint(X8)
| ~ rinside(X8,X6)
| ~ rpoint(X7)
| ~ rinside(X7,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_193])]) ).
fof(f1487,plain,
! [X8,X6,X9,X7,X4] :
( rinside(X9,X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rline(X4)
| ~ rcircle(X6)
| ~ rinside(X7,X6)
| ~ rinside(X8,X6)
| ~ rR(X9,X7,X8) ),
inference(equality_resolution,[],[f1486]) ).
fof(f1486,plain,
! [X8,X6,X9,X7,X4,X5] :
( rinside(X9,X5)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rline(X4)
| ~ rcircle(X6)
| X5 != X6
| ~ rinside(X7,X5)
| ~ rinside(X8,X5)
| ~ rR(X9,X7,X8) ),
inference(equality_resolution,[],[f1485]) ).
fof(f1485,plain,
! [X3,X8,X6,X9,X7,X4,X5] :
( rinside(X9,X5)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rline(X4)
| X3 != X4
| ~ rcircle(X6)
| X5 != X6
| ~ rinside(X7,X5)
| ~ rinside(X8,X5)
| ~ rR(X9,X7,X8) ),
inference(equality_resolution,[],[f1484]) ).
fof(f1484,plain,
! [X2,X3,X8,X6,X9,X7,X4,X5] :
( rinside(X2,X5)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X2 != X9
| ~ rline(X4)
| X3 != X4
| ~ rcircle(X6)
| X5 != X6
| ~ rinside(X7,X5)
| ~ rinside(X8,X5)
| ~ rR(X2,X7,X8) ),
inference(equality_resolution,[],[f1483]) ).
fof(f1483,plain,
! [X2,X3,X1,X8,X6,X9,X7,X4,X5] :
( rinside(X2,X5)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X1 != X8
| ~ rpoint(X9)
| X2 != X9
| ~ rline(X4)
| X3 != X4
| ~ rcircle(X6)
| X5 != X6
| ~ rinside(X7,X5)
| ~ rinside(X1,X5)
| ~ rR(X2,X7,X1) ),
inference(equality_resolution,[],[f840]) ).
fof(f840,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( rinside(X2,X5)
| ~ rpoint(X7)
| X0 != X7
| ~ rpoint(X8)
| X1 != X8
| ~ rpoint(X9)
| X2 != X9
| ~ rline(X4)
| X3 != X4
| ~ rcircle(X6)
| X5 != X6
| ~ rinside(X0,X5)
| ~ rinside(X1,X5)
| ~ rR(X2,X0,X1) ),
inference(cnf_transformation,[],[f438]) ).
fof(f3145,plain,
spl57_191,
inference(avatar_split_clause,[],[f1305,f3143]) ).
fof(f3143,plain,
( spl57_191
<=> ! [X7,X8,X5,X1] :
( rpoint(sK43(X7,X8,X5))
| ~ rline(X1)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ ron(X7,X1)
| ~ ron(X8,X1)
| ~ rpoint(X5)
| ~ rR(X8,X7,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_191])]) ).
fof(f1305,plain,
! [X1,X8,X7,X5] :
( rpoint(sK43(X7,X8,X5))
| ~ rline(X1)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ ron(X7,X1)
| ~ ron(X8,X1)
| ~ rpoint(X5)
| ~ rR(X8,X7,X5) ),
inference(equality_resolution,[],[f1304]) ).
fof(f1304,plain,
! [X1,X8,X7,X4,X5] :
( rpoint(sK43(X7,X8,X4))
| ~ rline(X1)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ ron(X7,X1)
| ~ ron(X8,X1)
| ~ rpoint(X5)
| ~ rR(X8,X7,X4)
| X4 != X5 ),
inference(equality_resolution,[],[f1303]) ).
fof(f1303,plain,
! [X3,X1,X8,X7,X4,X5] :
( rpoint(sK43(X7,X3,X4))
| ~ rline(X1)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X3 != X8
| ~ ron(X7,X1)
| ~ ron(X3,X1)
| ~ rpoint(X5)
| ~ rR(X3,X7,X4)
| X4 != X5 ),
inference(equality_resolution,[],[f1302]) ).
fof(f1302,plain,
! [X2,X3,X1,X8,X7,X4,X5] :
( rpoint(sK43(X2,X3,X4))
| ~ rline(X1)
| ~ rpoint(X7)
| X2 != X7
| ~ rpoint(X8)
| X3 != X8
| ~ ron(X2,X1)
| ~ ron(X3,X1)
| ~ rpoint(X5)
| ~ rR(X3,X2,X4)
| X4 != X5 ),
inference(equality_resolution,[],[f798]) ).
fof(f798,plain,
! [X2,X3,X0,X1,X8,X7,X4,X5] :
( rpoint(sK43(X2,X3,X4))
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X7)
| X2 != X7
| ~ rpoint(X8)
| X3 != X8
| ~ ron(X2,X0)
| ~ ron(X3,X0)
| ~ rpoint(X5)
| ~ rR(X3,X2,X4)
| X4 != X5 ),
inference(cnf_transformation,[],[f571]) ).
fof(f3141,plain,
spl57_190,
inference(avatar_split_clause,[],[f1229,f3139]) ).
fof(f3139,plain,
( spl57_190
<=> ! [X7,X8,X6,X1] :
( rpoint(sK41(X6,X7,X8))
| ~ rline(X1)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ ron(X6,X1)
| ~ ron(X7,X1)
| ~ rR(X8,X6,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_190])]) ).
fof(f1229,plain,
! [X1,X8,X6,X7] :
( rpoint(sK41(X6,X7,X8))
| ~ rline(X1)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ ron(X6,X1)
| ~ ron(X7,X1)
| ~ rR(X8,X6,X7) ),
inference(equality_resolution,[],[f1228]) ).
fof(f1228,plain,
! [X1,X8,X6,X7,X4] :
( rpoint(sK41(X6,X7,X4))
| ~ rline(X1)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X4 != X8
| ~ ron(X6,X1)
| ~ ron(X7,X1)
| ~ rR(X4,X6,X7) ),
inference(equality_resolution,[],[f1227]) ).
fof(f1227,plain,
! [X3,X1,X8,X6,X7,X4] :
( rpoint(sK41(X6,X3,X4))
| ~ rline(X1)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X3 != X7
| ~ rpoint(X8)
| X4 != X8
| ~ ron(X6,X1)
| ~ ron(X3,X1)
| ~ rR(X4,X6,X3) ),
inference(equality_resolution,[],[f1226]) ).
fof(f1226,plain,
! [X2,X3,X1,X8,X6,X7,X4] :
( rpoint(sK41(X2,X3,X4))
| ~ rline(X1)
| ~ rpoint(X6)
| X2 != X6
| ~ rpoint(X7)
| X3 != X7
| ~ rpoint(X8)
| X4 != X8
| ~ ron(X2,X1)
| ~ ron(X3,X1)
| ~ rR(X4,X2,X3) ),
inference(equality_resolution,[],[f780]) ).
fof(f780,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4] :
( rpoint(sK41(X2,X3,X4))
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X6)
| X2 != X6
| ~ rpoint(X7)
| X3 != X7
| ~ rpoint(X8)
| X4 != X8
| ~ ron(X2,X0)
| ~ ron(X3,X0)
| ~ rR(X4,X2,X3) ),
inference(cnf_transformation,[],[f562]) ).
fof(f3137,plain,
spl57_189,
inference(avatar_split_clause,[],[f1196,f3135]) ).
fof(f3135,plain,
( spl57_189
<=> ! [X7,X8,X6,X1] :
( sK40(X1,X6,X7) != X7
| ~ rline(X1)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ ron(X6,X1)
| ~ ron(X7,X1)
| ~ ron(X8,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_189])]) ).
fof(f1196,plain,
! [X1,X8,X6,X7] :
( sK40(X1,X6,X7) != X7
| ~ rline(X1)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ ron(X6,X1)
| ~ ron(X7,X1)
| ~ ron(X8,X1) ),
inference(equality_resolution,[],[f1195]) ).
fof(f1195,plain,
! [X1,X8,X6,X7,X4] :
( sK40(X1,X6,X7) != X7
| ~ rline(X1)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X4 != X8
| ~ ron(X6,X1)
| ~ ron(X7,X1)
| ~ ron(X4,X1) ),
inference(equality_resolution,[],[f1194]) ).
fof(f1194,plain,
! [X3,X1,X8,X6,X7,X4] :
( sK40(X1,X6,X3) != X3
| ~ rline(X1)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X3 != X7
| ~ rpoint(X8)
| X4 != X8
| ~ ron(X6,X1)
| ~ ron(X3,X1)
| ~ ron(X4,X1) ),
inference(equality_resolution,[],[f1193]) ).
fof(f1193,plain,
! [X2,X3,X1,X8,X6,X7,X4] :
( sK40(X1,X2,X3) != X3
| ~ rline(X1)
| ~ rpoint(X6)
| X2 != X6
| ~ rpoint(X7)
| X3 != X7
| ~ rpoint(X8)
| X4 != X8
| ~ ron(X2,X1)
| ~ ron(X3,X1)
| ~ ron(X4,X1) ),
inference(equality_resolution,[],[f767]) ).
fof(f767,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4] :
( sK40(X0,X2,X3) != X3
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X6)
| X2 != X6
| ~ rpoint(X7)
| X3 != X7
| ~ rpoint(X8)
| X4 != X8
| ~ ron(X2,X0)
| ~ ron(X3,X0)
| ~ ron(X4,X0) ),
inference(cnf_transformation,[],[f559]) ).
fof(f559,plain,
! [X0,X1,X2,X3,X4] :
( ( rpoint(sK40(X0,X2,X3))
& ron(sK40(X0,X2,X3),X0)
& sK40(X0,X2,X3) != X2
& sK40(X0,X2,X3) != X3 )
| ~ rline(X1)
| X0 != X1
| ! [X6] :
( ~ rpoint(X6)
| X2 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X3 != X7 )
| ! [X8] :
( ~ rpoint(X8)
| X4 != X8 )
| ~ ron(X2,X0)
| ~ ron(X3,X0)
| ~ ron(X4,X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK40])],[f557,f558]) ).
fof(f558,plain,
! [X0,X2,X3] :
( ? [X5] :
( rpoint(X5)
& ron(X5,X0)
& X2 != X5
& X3 != X5 )
=> ( rpoint(sK40(X0,X2,X3))
& ron(sK40(X0,X2,X3),X0)
& sK40(X0,X2,X3) != X2
& sK40(X0,X2,X3) != X3 ) ),
introduced(choice_axiom,[]) ).
fof(f557,plain,
! [X0,X1,X2,X3,X4] :
( ? [X5] :
( rpoint(X5)
& ron(X5,X0)
& X2 != X5
& X3 != X5 )
| ~ rline(X1)
| X0 != X1
| ! [X6] :
( ~ rpoint(X6)
| X2 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X3 != X7 )
| ! [X8] :
( ~ rpoint(X8)
| X4 != X8 )
| ~ ron(X2,X0)
| ~ ron(X3,X0)
| ~ ron(X4,X0) ),
inference(rectify,[],[f376]) ).
fof(f376,plain,
! [X0,X1,X2,X3,X4] :
( ? [X8] :
( rpoint(X8)
& ron(X8,X0)
& X2 != X8
& X3 != X8 )
| ~ rline(X1)
| X0 != X1
| ! [X5] :
( ~ rpoint(X5)
| X2 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X3 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X4 != X7 )
| ~ ron(X2,X0)
| ~ ron(X3,X0)
| ~ ron(X4,X0) ),
inference(flattening,[],[f375]) ).
fof(f375,plain,
! [X0,X1,X2,X3,X4] :
( ? [X8] :
( rpoint(X8)
& ron(X8,X0)
& X2 != X8
& X3 != X8 )
| ~ rline(X1)
| X0 != X1
| ! [X5] :
( ~ rpoint(X5)
| X2 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X3 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X4 != X7 )
| ~ ron(X2,X0)
| ~ ron(X3,X0)
| ~ ron(X4,X0) ),
inference(ennf_transformation,[],[f196]) ).
fof(f196,plain,
! [X0,X1,X2,X3,X4] :
( ( rline(X1)
& X0 = X1
& ? [X5] :
( rpoint(X5)
& X2 = X5 )
& ? [X6] :
( rpoint(X6)
& X3 = X6 )
& ? [X7] :
( rpoint(X7)
& X4 = X7 )
& ron(X2,X0)
& ron(X3,X0)
& ron(X4,X0) )
=> ? [X8] :
( rpoint(X8)
& ron(X8,X0)
& X2 != X8
& X3 != X8 ) ),
inference(rectify,[],[f106]) ).
fof(f106,axiom,
! [X636,X637,X638,X639,X640] :
( ( rline(X637)
& X636 = X637
& ? [X643] :
( rpoint(X643)
& X638 = X643 )
& ? [X642] :
( rpoint(X642)
& X639 = X642 )
& ? [X641] :
( rpoint(X641)
& X640 = X641 )
& ron(X638,X636)
& ron(X639,X636)
& ron(X640,X636) )
=> ? [X644] :
( rpoint(X644)
& ron(X644,X636)
& X638 != X644
& X639 != X644 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(21), 0), imp(cond(axiom(21), 0)))') ).
fof(f3133,plain,
spl57_188,
inference(avatar_split_clause,[],[f1192,f3131]) ).
fof(f3131,plain,
( spl57_188
<=> ! [X7,X8,X6,X1] :
( sK40(X1,X6,X7) != X6
| ~ rline(X1)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ ron(X6,X1)
| ~ ron(X7,X1)
| ~ ron(X8,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_188])]) ).
fof(f1192,plain,
! [X1,X8,X6,X7] :
( sK40(X1,X6,X7) != X6
| ~ rline(X1)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ ron(X6,X1)
| ~ ron(X7,X1)
| ~ ron(X8,X1) ),
inference(equality_resolution,[],[f1191]) ).
fof(f1191,plain,
! [X1,X8,X6,X7,X4] :
( sK40(X1,X6,X7) != X6
| ~ rline(X1)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X4 != X8
| ~ ron(X6,X1)
| ~ ron(X7,X1)
| ~ ron(X4,X1) ),
inference(equality_resolution,[],[f1190]) ).
fof(f1190,plain,
! [X3,X1,X8,X6,X7,X4] :
( sK40(X1,X6,X3) != X6
| ~ rline(X1)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X3 != X7
| ~ rpoint(X8)
| X4 != X8
| ~ ron(X6,X1)
| ~ ron(X3,X1)
| ~ ron(X4,X1) ),
inference(equality_resolution,[],[f1189]) ).
fof(f1189,plain,
! [X2,X3,X1,X8,X6,X7,X4] :
( sK40(X1,X2,X3) != X2
| ~ rline(X1)
| ~ rpoint(X6)
| X2 != X6
| ~ rpoint(X7)
| X3 != X7
| ~ rpoint(X8)
| X4 != X8
| ~ ron(X2,X1)
| ~ ron(X3,X1)
| ~ ron(X4,X1) ),
inference(equality_resolution,[],[f768]) ).
fof(f768,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4] :
( sK40(X0,X2,X3) != X2
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X6)
| X2 != X6
| ~ rpoint(X7)
| X3 != X7
| ~ rpoint(X8)
| X4 != X8
| ~ ron(X2,X0)
| ~ ron(X3,X0)
| ~ ron(X4,X0) ),
inference(cnf_transformation,[],[f559]) ).
fof(f3129,plain,
spl57_187,
inference(avatar_split_clause,[],[f1188,f3127]) ).
fof(f1188,plain,
! [X1,X8,X6,X7] :
( ron(sK40(X1,X6,X7),X1)
| ~ rline(X1)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ ron(X6,X1)
| ~ ron(X7,X1)
| ~ ron(X8,X1) ),
inference(equality_resolution,[],[f1187]) ).
fof(f1187,plain,
! [X1,X8,X6,X7,X4] :
( ron(sK40(X1,X6,X7),X1)
| ~ rline(X1)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X4 != X8
| ~ ron(X6,X1)
| ~ ron(X7,X1)
| ~ ron(X4,X1) ),
inference(equality_resolution,[],[f1186]) ).
fof(f1186,plain,
! [X3,X1,X8,X6,X7,X4] :
( ron(sK40(X1,X6,X3),X1)
| ~ rline(X1)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X3 != X7
| ~ rpoint(X8)
| X4 != X8
| ~ ron(X6,X1)
| ~ ron(X3,X1)
| ~ ron(X4,X1) ),
inference(equality_resolution,[],[f1185]) ).
fof(f1185,plain,
! [X2,X3,X1,X8,X6,X7,X4] :
( ron(sK40(X1,X2,X3),X1)
| ~ rline(X1)
| ~ rpoint(X6)
| X2 != X6
| ~ rpoint(X7)
| X3 != X7
| ~ rpoint(X8)
| X4 != X8
| ~ ron(X2,X1)
| ~ ron(X3,X1)
| ~ ron(X4,X1) ),
inference(equality_resolution,[],[f769]) ).
fof(f769,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4] :
( ron(sK40(X0,X2,X3),X0)
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X6)
| X2 != X6
| ~ rpoint(X7)
| X3 != X7
| ~ rpoint(X8)
| X4 != X8
| ~ ron(X2,X0)
| ~ ron(X3,X0)
| ~ ron(X4,X0) ),
inference(cnf_transformation,[],[f559]) ).
fof(f3043,plain,
spl57_186,
inference(avatar_split_clause,[],[f1184,f3041]) ).
fof(f1184,plain,
! [X1,X8,X6,X7] :
( rpoint(sK40(X1,X6,X7))
| ~ rline(X1)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ ron(X6,X1)
| ~ ron(X7,X1)
| ~ ron(X8,X1) ),
inference(equality_resolution,[],[f1183]) ).
fof(f1183,plain,
! [X1,X8,X6,X7,X4] :
( rpoint(sK40(X1,X6,X7))
| ~ rline(X1)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X4 != X8
| ~ ron(X6,X1)
| ~ ron(X7,X1)
| ~ ron(X4,X1) ),
inference(equality_resolution,[],[f1182]) ).
fof(f1182,plain,
! [X3,X1,X8,X6,X7,X4] :
( rpoint(sK40(X1,X6,X3))
| ~ rline(X1)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X3 != X7
| ~ rpoint(X8)
| X4 != X8
| ~ ron(X6,X1)
| ~ ron(X3,X1)
| ~ ron(X4,X1) ),
inference(equality_resolution,[],[f1181]) ).
fof(f1181,plain,
! [X2,X3,X1,X8,X6,X7,X4] :
( rpoint(sK40(X1,X2,X3))
| ~ rline(X1)
| ~ rpoint(X6)
| X2 != X6
| ~ rpoint(X7)
| X3 != X7
| ~ rpoint(X8)
| X4 != X8
| ~ ron(X2,X1)
| ~ ron(X3,X1)
| ~ ron(X4,X1) ),
inference(equality_resolution,[],[f770]) ).
fof(f770,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4] :
( rpoint(sK40(X0,X2,X3))
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X6)
| X2 != X6
| ~ rpoint(X7)
| X3 != X7
| ~ rpoint(X8)
| X4 != X8
| ~ ron(X2,X0)
| ~ ron(X3,X0)
| ~ ron(X4,X0) ),
inference(cnf_transformation,[],[f559]) ).
fof(f3039,plain,
spl57_185,
inference(avatar_split_clause,[],[f1160,f3037]) ).
fof(f3037,plain,
( spl57_185
<=> ! [X5,X4,X7,X6] :
( rS(X6,X7,X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rline(X4)
| ~ rR(X6,X5,X7)
| ~ ron(X5,X4)
| ron(X6,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_185])]) ).
fof(f1160,plain,
! [X6,X7,X4,X5] :
( rS(X6,X7,X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rline(X4)
| ~ rR(X6,X5,X7)
| ~ ron(X5,X4)
| ron(X6,X4) ),
inference(equality_resolution,[],[f1159]) ).
fof(f1159,plain,
! [X3,X6,X7,X4,X5] :
( rS(X6,X7,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rline(X4)
| X3 != X4
| ~ rR(X6,X5,X7)
| ~ ron(X5,X3)
| ron(X6,X3) ),
inference(equality_resolution,[],[f1158]) ).
fof(f1158,plain,
! [X2,X3,X6,X7,X4,X5] :
( rS(X6,X2,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| X3 != X4
| ~ rR(X6,X5,X2)
| ~ ron(X5,X3)
| ron(X6,X3) ),
inference(equality_resolution,[],[f1157]) ).
fof(f1157,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( rS(X1,X2,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| X3 != X4
| ~ rR(X1,X5,X2)
| ~ ron(X5,X3)
| ron(X1,X3) ),
inference(equality_resolution,[],[f761]) ).
fof(f761,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( rS(X1,X2,X3)
| ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| X3 != X4
| ~ rR(X1,X0,X2)
| ~ ron(X0,X3)
| ron(X1,X3) ),
inference(cnf_transformation,[],[f366]) ).
fof(f366,plain,
! [X0,X1,X2,X3,X4] :
( rS(X1,X2,X3)
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| ~ rline(X4)
| X3 != X4
| ~ rR(X1,X0,X2)
| ~ ron(X0,X3)
| ron(X1,X3) ),
inference(flattening,[],[f365]) ).
fof(f365,plain,
! [X0,X1,X2,X3,X4] :
( rS(X1,X2,X3)
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| ~ rline(X4)
| X3 != X4
| ~ rR(X1,X0,X2)
| ~ ron(X0,X3)
| ron(X1,X3) ),
inference(ennf_transformation,[],[f191]) ).
fof(f191,plain,
! [X0,X1,X2,X3,X4] :
( ( ? [X5] :
( rpoint(X5)
& X0 = X5 )
& ? [X6] :
( rpoint(X6)
& X1 = X6 )
& ? [X7] :
( rpoint(X7)
& X2 = X7 )
& rline(X4)
& X3 = X4
& rR(X1,X0,X2)
& ron(X0,X3)
& ~ ron(X1,X3) )
=> rS(X1,X2,X3) ),
inference(rectify,[],[f80]) ).
fof(f80,axiom,
! [X456,X457,X458,X459,X460] :
( ( ? [X463] :
( rpoint(X463)
& X456 = X463 )
& ? [X462] :
( rpoint(X462)
& X457 = X462 )
& ? [X461] :
( rpoint(X461)
& X458 = X461 )
& rline(X460)
& X459 = X460
& rR(X457,X456,X458)
& ron(X456,X459)
& ~ ron(X457,X459) )
=> rS(X457,X458,X459) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(107), 0), imp(cond(axiom(107), 0)))') ).
fof(f3035,plain,
spl57_184,
inference(avatar_split_clause,[],[f1049,f3033]) ).
fof(f1049,plain,
! [X3,X1] :
( vf(X3,vskolem1052(X1,X1,X3,X3)) = vf(vskolem1052(X1,X1,X3,X3),X1)
| ~ rpoint(X1)
| ~ rpoint(X3)
| X1 = X3 ),
inference(equality_resolution,[],[f1048]) ).
fof(f1048,plain,
! [X2,X3,X1] :
( vf(X2,vskolem1052(X1,X1,X2,X3)) = vf(vskolem1052(X1,X1,X2,X3),X1)
| ~ rpoint(X1)
| ~ rpoint(X3)
| X1 = X2
| X2 != X3 ),
inference(equality_resolution,[],[f706]) ).
fof(f706,plain,
! [X2,X3,X0,X1] :
( vf(X2,vskolem1052(X0,X1,X2,X3)) = vf(vskolem1052(X0,X1,X2,X3),X0)
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X0 = X2
| X2 != X3 ),
inference(cnf_transformation,[],[f320]) ).
fof(f320,plain,
! [X0,X1,X2,X3] :
( vf(X2,vskolem1052(X0,X1,X2,X3)) = vf(vskolem1052(X0,X1,X2,X3),X0)
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X0 = X2
| X2 != X3 ),
inference(flattening,[],[f319]) ).
fof(f319,plain,
! [X0,X1,X2,X3] :
( vf(X2,vskolem1052(X0,X1,X2,X3)) = vf(vskolem1052(X0,X1,X2,X3),X0)
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X0 = X2
| X2 != X3 ),
inference(ennf_transformation,[],[f167]) ).
fof(f167,plain,
! [X0,X1,X2,X3] :
( ( rpoint(X1)
& X0 = X1
& rpoint(X3)
& X0 != X2
& X2 = X3 )
=> vf(X2,vskolem1052(X0,X1,X2,X3)) = vf(vskolem1052(X0,X1,X2,X3),X0) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X55,X56,X57,X58] :
( ( rpoint(X56)
& X55 = X56
& rpoint(X58)
& X55 != X57
& X57 = X58 )
=> vf(X57,vskolem1052(X55,X56,X57,X58)) = vf(vskolem1052(X55,X56,X57,X58),X55) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(206), 0), 0)') ).
fof(f2993,plain,
( ~ spl57_9
| spl57_183
| ~ spl57_1
| ~ spl57_3
| ~ spl57_156 ),
inference(avatar_split_clause,[],[f2709,f2624,f1647,f1637,f2991,f1677]) ).
fof(f2709,plain,
( ! [X0] :
( ~ rline(sK5)
| ~ rpoint(X0)
| ~ rpoint(sK8)
| ~ ron(X0,sK5)
| rpoint(sK25(X0,sK8))
| sK8 = X0 )
| ~ spl57_3
| ~ spl57_156 ),
inference(resolution,[],[f2625,f1649]) ).
fof(f2871,plain,
spl57_182,
inference(avatar_split_clause,[],[f1289,f2869]) ).
fof(f1289,plain,
! [X3,X6,X7,X5] :
( rintersect(X3,X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rline(X3)
| rS(X6,X7,X3)
| ~ rline(X5)
| ~ ron(X6,X5)
| ~ ron(X7,X5) ),
inference(equality_resolution,[],[f1288]) ).
fof(f1288,plain,
! [X2,X3,X6,X7,X5] :
( rintersect(X2,X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rline(X3)
| rS(X6,X7,X2)
| ~ rline(X5)
| ~ ron(X6,X5)
| ~ ron(X7,X5)
| X2 != X3 ),
inference(equality_resolution,[],[f1287]) ).
fof(f1287,plain,
! [X2,X3,X6,X7,X4,X5] :
( rintersect(X2,X4)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rline(X3)
| rS(X6,X7,X2)
| ~ rline(X5)
| ~ ron(X6,X4)
| ~ ron(X7,X4)
| X4 != X5
| X2 != X3 ),
inference(equality_resolution,[],[f1286]) ).
fof(f1286,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( rintersect(X2,X4)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X1 != X7
| ~ rline(X3)
| rS(X6,X1,X2)
| ~ rline(X5)
| ~ ron(X6,X4)
| ~ ron(X1,X4)
| X4 != X5
| X2 != X3 ),
inference(equality_resolution,[],[f791]) ).
fof(f791,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( rintersect(X2,X4)
| ~ rpoint(X6)
| X0 != X6
| ~ rpoint(X7)
| X1 != X7
| ~ rline(X3)
| rS(X0,X1,X2)
| ~ rline(X5)
| ~ ron(X0,X4)
| ~ ron(X1,X4)
| X4 != X5
| X2 != X3 ),
inference(cnf_transformation,[],[f400]) ).
fof(f400,plain,
! [X0,X1,X2,X3,X4,X5] :
( rintersect(X2,X4)
| ! [X6] :
( ~ rpoint(X6)
| X0 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X1 != X7 )
| ~ rline(X3)
| rS(X0,X1,X2)
| ~ rline(X5)
| ~ ron(X0,X4)
| ~ ron(X1,X4)
| X4 != X5
| X2 != X3 ),
inference(flattening,[],[f399]) ).
fof(f399,plain,
! [X0,X1,X2,X3,X4,X5] :
( rintersect(X2,X4)
| ! [X6] :
( ~ rpoint(X6)
| X0 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X1 != X7 )
| ~ rline(X3)
| rS(X0,X1,X2)
| ~ rline(X5)
| ~ ron(X0,X4)
| ~ ron(X1,X4)
| X4 != X5
| X2 != X3 ),
inference(ennf_transformation,[],[f209]) ).
fof(f209,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ? [X6] :
( rpoint(X6)
& X0 = X6 )
& ? [X7] :
( rpoint(X7)
& X1 = X7 )
& rline(X3)
& ~ rS(X0,X1,X2)
& rline(X5)
& ron(X0,X4)
& ron(X1,X4)
& X4 = X5
& X2 = X3 )
=> rintersect(X2,X4) ),
inference(rectify,[],[f71]) ).
fof(f71,axiom,
! [X355,X356,X357,X358,X359,X360] :
( ( ? [X362] :
( rpoint(X362)
& X355 = X362 )
& ? [X361] :
( rpoint(X361)
& X356 = X361 )
& rline(X358)
& ~ rS(X355,X356,X357)
& rline(X360)
& ron(X355,X359)
& ron(X356,X359)
& X359 = X360
& X357 = X358 )
=> rintersect(X357,X359) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(127), 0), imp(cond(axiom(127), 0)))') ).
fof(f2867,plain,
spl57_181,
inference(avatar_split_clause,[],[f1217,f2865]) ).
fof(f2865,plain,
( spl57_181
<=> ! [X5,X4,X7,X6] :
( ~ ron(X6,X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rcircle(X4)
| ~ ron(X5,X4)
| rinside(X7,X4)
| ~ rR(X7,X5,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_181])]) ).
fof(f1217,plain,
! [X6,X7,X4,X5] :
( ~ ron(X6,X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rcircle(X4)
| ~ ron(X5,X4)
| rinside(X7,X4)
| ~ rR(X7,X5,X6) ),
inference(equality_resolution,[],[f1216]) ).
fof(f1216,plain,
! [X3,X6,X7,X4,X5] :
( ~ ron(X6,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rcircle(X4)
| X3 != X4
| ~ ron(X5,X3)
| rinside(X7,X3)
| ~ rR(X7,X5,X6) ),
inference(equality_resolution,[],[f1215]) ).
fof(f1215,plain,
! [X2,X3,X6,X7,X4,X5] :
( ~ ron(X6,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X2 != X7
| ~ rcircle(X4)
| X3 != X4
| ~ ron(X5,X3)
| rinside(X2,X3)
| ~ rR(X2,X5,X6) ),
inference(equality_resolution,[],[f1214]) ).
fof(f1214,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( ~ ron(X1,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| ~ rcircle(X4)
| X3 != X4
| ~ ron(X5,X3)
| rinside(X2,X3)
| ~ rR(X2,X5,X1) ),
inference(equality_resolution,[],[f776]) ).
fof(f776,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ ron(X1,X3)
| ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| ~ rcircle(X4)
| X3 != X4
| ~ ron(X0,X3)
| rinside(X2,X3)
| ~ rR(X2,X0,X1) ),
inference(cnf_transformation,[],[f384]) ).
fof(f384,plain,
! [X0,X1,X2,X3,X4] :
( ( ~ ron(X1,X3)
& ~ ron(X1,X3) )
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| ~ rcircle(X4)
| X3 != X4
| ( ~ rinside(X0,X3)
& ~ ron(X0,X3) )
| rinside(X2,X3)
| ~ rR(X2,X0,X1) ),
inference(flattening,[],[f383]) ).
fof(f383,plain,
! [X0,X1,X2,X3,X4] :
( ( ~ ron(X1,X3)
& ~ ron(X1,X3) )
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| ~ rcircle(X4)
| X3 != X4
| ( ~ rinside(X0,X3)
& ~ ron(X0,X3) )
| rinside(X2,X3)
| ~ rR(X2,X0,X1) ),
inference(ennf_transformation,[],[f200]) ).
fof(f200,plain,
! [X0,X1,X2,X3,X4] :
( ( ? [X5] :
( rpoint(X5)
& X0 = X5 )
& ? [X6] :
( rpoint(X6)
& X1 = X6 )
& ? [X7] :
( rpoint(X7)
& X2 = X7 )
& rcircle(X4)
& X3 = X4
& ( rinside(X0,X3)
| ron(X0,X3) )
& ~ rinside(X2,X3)
& rR(X2,X0,X1) )
=> ( ~ ron(X1,X3)
& ~ ron(X1,X3) ) ),
inference(rectify,[],[f73]) ).
fof(f73,axiom,
! [X375,X376,X377,X378,X379] :
( ( ? [X382] :
( rpoint(X382)
& X375 = X382 )
& ? [X381] :
( rpoint(X381)
& X376 = X381 )
& ? [X380] :
( rpoint(X380)
& X377 = X380 )
& rcircle(X379)
& X378 = X379
& ( rinside(X375,X378)
| ron(X375,X378) )
& ~ rinside(X377,X378)
& rR(X377,X375,X376) )
=> ( ~ ron(X376,X378)
& ~ ron(X376,X378) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(123), 0), imp(cond(axiom(123), 0)))') ).
fof(f2863,plain,
spl57_180,
inference(avatar_split_clause,[],[f1213,f2861]) ).
fof(f2861,plain,
( spl57_180
<=> ! [X5,X4,X7,X6] :
( ~ ron(X6,X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rcircle(X4)
| ~ rinside(X5,X4)
| rinside(X7,X4)
| ~ rR(X7,X5,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_180])]) ).
fof(f1213,plain,
! [X6,X7,X4,X5] :
( ~ ron(X6,X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rcircle(X4)
| ~ rinside(X5,X4)
| rinside(X7,X4)
| ~ rR(X7,X5,X6) ),
inference(equality_resolution,[],[f1212]) ).
fof(f1212,plain,
! [X3,X6,X7,X4,X5] :
( ~ ron(X6,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rcircle(X4)
| X3 != X4
| ~ rinside(X5,X3)
| rinside(X7,X3)
| ~ rR(X7,X5,X6) ),
inference(equality_resolution,[],[f1211]) ).
fof(f1211,plain,
! [X2,X3,X6,X7,X4,X5] :
( ~ ron(X6,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X2 != X7
| ~ rcircle(X4)
| X3 != X4
| ~ rinside(X5,X3)
| rinside(X2,X3)
| ~ rR(X2,X5,X6) ),
inference(equality_resolution,[],[f1210]) ).
fof(f1210,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( ~ ron(X1,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| ~ rcircle(X4)
| X3 != X4
| ~ rinside(X5,X3)
| rinside(X2,X3)
| ~ rR(X2,X5,X1) ),
inference(equality_resolution,[],[f777]) ).
fof(f777,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ ron(X1,X3)
| ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| ~ rcircle(X4)
| X3 != X4
| ~ rinside(X0,X3)
| rinside(X2,X3)
| ~ rR(X2,X0,X1) ),
inference(cnf_transformation,[],[f384]) ).
fof(f2859,plain,
spl57_179,
inference(avatar_split_clause,[],[f1172,f2857]) ).
fof(f2857,plain,
( spl57_179
<=> ! [X5,X4,X7,X6] :
( ron(X6,X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rline(X4)
| ~ rR(X6,X5,X7)
| ~ ron(X5,X4)
| ~ ron(X7,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_179])]) ).
fof(f1172,plain,
! [X6,X7,X4,X5] :
( ron(X6,X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rline(X4)
| ~ rR(X6,X5,X7)
| ~ ron(X5,X4)
| ~ ron(X7,X4) ),
inference(equality_resolution,[],[f1171]) ).
fof(f1171,plain,
! [X3,X6,X7,X4,X5] :
( ron(X6,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rline(X4)
| ~ rR(X6,X5,X7)
| ~ ron(X5,X3)
| ~ ron(X7,X3)
| X3 != X4 ),
inference(equality_resolution,[],[f1170]) ).
fof(f1170,plain,
! [X2,X3,X6,X7,X4,X5] :
( ron(X6,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| ~ rR(X6,X5,X2)
| ~ ron(X5,X3)
| ~ ron(X2,X3)
| X3 != X4 ),
inference(equality_resolution,[],[f1169]) ).
fof(f1169,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( ron(X1,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| ~ rR(X1,X5,X2)
| ~ ron(X5,X3)
| ~ ron(X2,X3)
| X3 != X4 ),
inference(equality_resolution,[],[f764]) ).
fof(f764,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ron(X1,X3)
| ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| ~ rR(X1,X0,X2)
| ~ ron(X0,X3)
| ~ ron(X2,X3)
| X3 != X4 ),
inference(cnf_transformation,[],[f372]) ).
fof(f372,plain,
! [X0,X1,X2,X3,X4] :
( ron(X1,X3)
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| ~ rline(X4)
| ~ rR(X1,X0,X2)
| ~ ron(X0,X3)
| ~ ron(X2,X3)
| X3 != X4 ),
inference(flattening,[],[f371]) ).
fof(f371,plain,
! [X0,X1,X2,X3,X4] :
( ron(X1,X3)
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| ~ rline(X4)
| ~ rR(X1,X0,X2)
| ~ ron(X0,X3)
| ~ ron(X2,X3)
| X3 != X4 ),
inference(ennf_transformation,[],[f194]) ).
fof(f194,plain,
! [X0,X1,X2,X3,X4] :
( ( ? [X5] :
( rpoint(X5)
& X0 = X5 )
& ? [X6] :
( rpoint(X6)
& X1 = X6 )
& ? [X7] :
( rpoint(X7)
& X2 = X7 )
& rline(X4)
& rR(X1,X0,X2)
& ron(X0,X3)
& ron(X2,X3)
& X3 = X4 )
=> ron(X1,X3) ),
inference(rectify,[],[f39]) ).
fof(f39,axiom,
! [X131,X132,X133,X134,X135] :
( ( ? [X138] :
( rpoint(X138)
& X131 = X138 )
& ? [X137] :
( rpoint(X137)
& X132 = X137 )
& ? [X136] :
( rpoint(X136)
& X133 = X136 )
& rline(X135)
& rR(X132,X131,X133)
& ron(X131,X134)
& ron(X133,X134)
& X134 = X135 )
=> ron(X132,X134) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(85), 0), imp(cond(axiom(85), 0)))') ).
fof(f2855,plain,
spl57_178,
inference(avatar_split_clause,[],[f1168,f2853]) ).
fof(f2853,plain,
( spl57_178
<=> ! [X5,X4,X7,X6] :
( ron(X7,X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rline(X4)
| ~ rR(X6,X5,X7)
| ~ ron(X5,X4)
| ~ ron(X6,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_178])]) ).
fof(f1168,plain,
! [X6,X7,X4,X5] :
( ron(X7,X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rline(X4)
| ~ rR(X6,X5,X7)
| ~ ron(X5,X4)
| ~ ron(X6,X4) ),
inference(equality_resolution,[],[f1167]) ).
fof(f1167,plain,
! [X3,X6,X7,X4,X5] :
( ron(X7,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rline(X4)
| ~ rR(X6,X5,X7)
| ~ ron(X5,X3)
| ~ ron(X6,X3)
| X3 != X4 ),
inference(equality_resolution,[],[f1166]) ).
fof(f1166,plain,
! [X2,X3,X6,X7,X4,X5] :
( ron(X2,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| ~ rR(X6,X5,X2)
| ~ ron(X5,X3)
| ~ ron(X6,X3)
| X3 != X4 ),
inference(equality_resolution,[],[f1165]) ).
fof(f1165,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( ron(X2,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| ~ rR(X1,X5,X2)
| ~ ron(X5,X3)
| ~ ron(X1,X3)
| X3 != X4 ),
inference(equality_resolution,[],[f763]) ).
fof(f763,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ron(X2,X3)
| ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| ~ rR(X1,X0,X2)
| ~ ron(X0,X3)
| ~ ron(X1,X3)
| X3 != X4 ),
inference(cnf_transformation,[],[f370]) ).
fof(f370,plain,
! [X0,X1,X2,X3,X4] :
( ron(X2,X3)
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| ~ rline(X4)
| ~ rR(X1,X0,X2)
| ~ ron(X0,X3)
| ~ ron(X1,X3)
| X3 != X4 ),
inference(flattening,[],[f369]) ).
fof(f369,plain,
! [X0,X1,X2,X3,X4] :
( ron(X2,X3)
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| ~ rline(X4)
| ~ rR(X1,X0,X2)
| ~ ron(X0,X3)
| ~ ron(X1,X3)
| X3 != X4 ),
inference(ennf_transformation,[],[f193]) ).
fof(f193,plain,
! [X0,X1,X2,X3,X4] :
( ( ? [X5] :
( rpoint(X5)
& X0 = X5 )
& ? [X6] :
( rpoint(X6)
& X1 = X6 )
& ? [X7] :
( rpoint(X7)
& X2 = X7 )
& rline(X4)
& rR(X1,X0,X2)
& ron(X0,X3)
& ron(X1,X3)
& X3 = X4 )
=> ron(X2,X3) ),
inference(rectify,[],[f29]) ).
fof(f29,axiom,
! [X74,X75,X76,X77,X78] :
( ( ? [X81] :
( rpoint(X81)
& X74 = X81 )
& ? [X80] :
( rpoint(X80)
& X75 = X80 )
& ? [X79] :
( rpoint(X79)
& X76 = X79 )
& rline(X78)
& rR(X75,X74,X76)
& ron(X74,X77)
& ron(X75,X77)
& X77 = X78 )
=> ron(X76,X77) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(83), 0), imp(cond(axiom(83), 0)))') ).
fof(f2842,plain,
spl57_177,
inference(avatar_split_clause,[],[f1025,f2840]) ).
fof(f1025,plain,
! [X1,X6,X5] :
( rR(sK25(X5,X6),X5,X6)
| ~ rline(X1)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ ron(X5,X1)
| ~ ron(X6,X1)
| X5 = X6 ),
inference(equality_resolution,[],[f1024]) ).
fof(f1024,plain,
! [X3,X1,X6,X5] :
( rR(sK25(X5,X3),X5,X3)
| ~ rline(X1)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X3 != X6
| ~ ron(X5,X1)
| ~ ron(X3,X1)
| X3 = X5 ),
inference(equality_resolution,[],[f1023]) ).
fof(f1023,plain,
! [X2,X3,X1,X6,X5] :
( rR(sK25(X2,X3),X2,X3)
| ~ rline(X1)
| ~ rpoint(X5)
| X2 != X5
| ~ rpoint(X6)
| X3 != X6
| ~ ron(X2,X1)
| ~ ron(X3,X1)
| X2 = X3 ),
inference(equality_resolution,[],[f695]) ).
fof(f695,plain,
! [X2,X3,X0,X1,X6,X5] :
( rR(sK25(X2,X3),X2,X3)
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X5)
| X2 != X5
| ~ rpoint(X6)
| X3 != X6
| ~ ron(X2,X0)
| ~ ron(X3,X0)
| X2 = X3 ),
inference(cnf_transformation,[],[f523]) ).
fof(f523,plain,
! [X0,X1,X2,X3] :
( ( rpoint(sK25(X2,X3))
& rR(sK25(X2,X3),X2,X3) )
| ~ rline(X1)
| X0 != X1
| ! [X5] :
( ~ rpoint(X5)
| X2 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X3 != X6 )
| ~ ron(X2,X0)
| ~ ron(X3,X0)
| X2 = X3 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25])],[f521,f522]) ).
fof(f522,plain,
! [X2,X3] :
( ? [X4] :
( rpoint(X4)
& rR(X4,X2,X3) )
=> ( rpoint(sK25(X2,X3))
& rR(sK25(X2,X3),X2,X3) ) ),
introduced(choice_axiom,[]) ).
fof(f521,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( rpoint(X4)
& rR(X4,X2,X3) )
| ~ rline(X1)
| X0 != X1
| ! [X5] :
( ~ rpoint(X5)
| X2 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X3 != X6 )
| ~ ron(X2,X0)
| ~ ron(X3,X0)
| X2 = X3 ),
inference(rectify,[],[f304]) ).
fof(f304,plain,
! [X0,X1,X2,X3] :
( ? [X6] :
( rpoint(X6)
& rR(X6,X2,X3) )
| ~ rline(X1)
| X0 != X1
| ! [X4] :
( ~ rpoint(X4)
| X2 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X3 != X5 )
| ~ ron(X2,X0)
| ~ ron(X3,X0)
| X2 = X3 ),
inference(flattening,[],[f303]) ).
fof(f303,plain,
! [X0,X1,X2,X3] :
( ? [X6] :
( rpoint(X6)
& rR(X6,X2,X3) )
| ~ rline(X1)
| X0 != X1
| ! [X4] :
( ~ rpoint(X4)
| X2 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X3 != X5 )
| ~ ron(X2,X0)
| ~ ron(X3,X0)
| X2 = X3 ),
inference(ennf_transformation,[],[f159]) ).
fof(f159,plain,
! [X0,X1,X2,X3] :
( ( rline(X1)
& X0 = X1
& ? [X4] :
( rpoint(X4)
& X2 = X4 )
& ? [X5] :
( rpoint(X5)
& X3 = X5 )
& ron(X2,X0)
& ron(X3,X0)
& X2 != X3 )
=> ? [X6] :
( rpoint(X6)
& rR(X6,X2,X3) ) ),
inference(rectify,[],[f105]) ).
fof(f105,axiom,
! [X629,X630,X631,X632] :
( ( rline(X630)
& X629 = X630
& ? [X634] :
( rpoint(X634)
& X631 = X634 )
& ? [X633] :
( rpoint(X633)
& X632 = X633 )
& ron(X631,X629)
& ron(X632,X629)
& X631 != X632 )
=> ? [X635] :
( rpoint(X635)
& rR(X635,X631,X632) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(23), 0), imp(cond(axiom(23), 0)))') ).
fof(f2838,plain,
spl57_176,
inference(avatar_split_clause,[],[f1019,f2836]) ).
fof(f1019,plain,
! [X1,X6,X5] :
( rR(X6,X5,sK24(X5,X6))
| ~ rline(X1)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ ron(X5,X1)
| ~ ron(X6,X1)
| X5 = X6 ),
inference(equality_resolution,[],[f1018]) ).
fof(f1018,plain,
! [X3,X1,X6,X5] :
( rR(X3,X5,sK24(X5,X3))
| ~ rline(X1)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X3 != X6
| ~ ron(X5,X1)
| ~ ron(X3,X1)
| X3 = X5 ),
inference(equality_resolution,[],[f1017]) ).
fof(f1017,plain,
! [X2,X3,X1,X6,X5] :
( rR(X3,X2,sK24(X2,X3))
| ~ rline(X1)
| ~ rpoint(X5)
| X2 != X5
| ~ rpoint(X6)
| X3 != X6
| ~ ron(X2,X1)
| ~ ron(X3,X1)
| X2 = X3 ),
inference(equality_resolution,[],[f693]) ).
fof(f693,plain,
! [X2,X3,X0,X1,X6,X5] :
( rR(X3,X2,sK24(X2,X3))
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X5)
| X2 != X5
| ~ rpoint(X6)
| X3 != X6
| ~ ron(X2,X0)
| ~ ron(X3,X0)
| X2 = X3 ),
inference(cnf_transformation,[],[f520]) ).
fof(f520,plain,
! [X0,X1,X2,X3] :
( ( rpoint(sK24(X2,X3))
& rR(X3,X2,sK24(X2,X3)) )
| ~ rline(X1)
| X0 != X1
| ! [X5] :
( ~ rpoint(X5)
| X2 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X3 != X6 )
| ~ ron(X2,X0)
| ~ ron(X3,X0)
| X2 = X3 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f518,f519]) ).
fof(f519,plain,
! [X2,X3] :
( ? [X4] :
( rpoint(X4)
& rR(X3,X2,X4) )
=> ( rpoint(sK24(X2,X3))
& rR(X3,X2,sK24(X2,X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f518,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( rpoint(X4)
& rR(X3,X2,X4) )
| ~ rline(X1)
| X0 != X1
| ! [X5] :
( ~ rpoint(X5)
| X2 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X3 != X6 )
| ~ ron(X2,X0)
| ~ ron(X3,X0)
| X2 = X3 ),
inference(rectify,[],[f302]) ).
fof(f302,plain,
! [X0,X1,X2,X3] :
( ? [X6] :
( rpoint(X6)
& rR(X3,X2,X6) )
| ~ rline(X1)
| X0 != X1
| ! [X4] :
( ~ rpoint(X4)
| X2 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X3 != X5 )
| ~ ron(X2,X0)
| ~ ron(X3,X0)
| X2 = X3 ),
inference(flattening,[],[f301]) ).
fof(f301,plain,
! [X0,X1,X2,X3] :
( ? [X6] :
( rpoint(X6)
& rR(X3,X2,X6) )
| ~ rline(X1)
| X0 != X1
| ! [X4] :
( ~ rpoint(X4)
| X2 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X3 != X5 )
| ~ ron(X2,X0)
| ~ ron(X3,X0)
| X2 = X3 ),
inference(ennf_transformation,[],[f158]) ).
fof(f158,plain,
! [X0,X1,X2,X3] :
( ( rline(X1)
& X0 = X1
& ? [X4] :
( rpoint(X4)
& X2 = X4 )
& ? [X5] :
( rpoint(X5)
& X3 = X5 )
& ron(X2,X0)
& ron(X3,X0)
& X2 != X3 )
=> ? [X6] :
( rpoint(X6)
& rR(X3,X2,X6) ) ),
inference(rectify,[],[f102]) ).
fof(f102,axiom,
! [X602,X603,X604,X605] :
( ( rline(X603)
& X602 = X603
& ? [X607] :
( rpoint(X607)
& X604 = X607 )
& ? [X606] :
( rpoint(X606)
& X605 = X606 )
& ron(X604,X602)
& ron(X605,X602)
& X604 != X605 )
=> ? [X608] :
( rpoint(X608)
& rR(X605,X604,X608) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(29), 0), imp(cond(axiom(29), 0)))') ).
fof(f2834,plain,
spl57_175,
inference(avatar_split_clause,[],[f962,f2832]) ).
fof(f2832,plain,
( spl57_175
<=> ! [X4,X5,X3] :
( vf(X3,X5) = vplus(vf(X3,X4),vf(X4,X5))
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rR(X4,X3,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_175])]) ).
fof(f962,plain,
! [X3,X4,X5] :
( vf(X3,X5) = vplus(vf(X3,X4),vf(X4,X5))
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rR(X4,X3,X5) ),
inference(equality_resolution,[],[f961]) ).
fof(f961,plain,
! [X2,X3,X4,X5] :
( vf(X3,X2) = vplus(vf(X3,X4),vf(X4,X2))
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X2 != X5
| ~ rR(X4,X3,X2) ),
inference(equality_resolution,[],[f960]) ).
fof(f960,plain,
! [X2,X3,X1,X4,X5] :
( vf(X3,X2) = vplus(vf(X3,X1),vf(X1,X2))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X5)
| X2 != X5
| ~ rR(X1,X3,X2) ),
inference(equality_resolution,[],[f677]) ).
fof(f677,plain,
! [X2,X3,X0,X1,X4,X5] :
( vplus(vf(X0,X1),vf(X1,X2)) = vf(X0,X2)
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X5)
| X2 != X5
| ~ rR(X1,X0,X2) ),
inference(cnf_transformation,[],[f286]) ).
fof(f286,plain,
! [X0,X1,X2] :
( vplus(vf(X0,X1),vf(X1,X2)) = vf(X0,X2)
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X2 != X5 )
| ~ rR(X1,X0,X2) ),
inference(flattening,[],[f285]) ).
fof(f285,plain,
! [X0,X1,X2] :
( vplus(vf(X0,X1),vf(X1,X2)) = vf(X0,X2)
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X2 != X5 )
| ~ rR(X1,X0,X2) ),
inference(ennf_transformation,[],[f149]) ).
fof(f149,plain,
! [X0,X1,X2] :
( ( ? [X3] :
( rpoint(X3)
& X0 = X3 )
& ? [X4] :
( rpoint(X4)
& X1 = X4 )
& ? [X5] :
( rpoint(X5)
& X2 = X5 )
& rR(X1,X0,X2) )
=> vplus(vf(X0,X1),vf(X1,X2)) = vf(X0,X2) ),
inference(rectify,[],[f63]) ).
fof(f63,axiom,
! [X308,X309,X310] :
( ( ? [X313] :
( rpoint(X313)
& X308 = X313 )
& ? [X312] :
( rpoint(X312)
& X309 = X312 )
& ? [X311] :
( rpoint(X311)
& X310 = X311 )
& rR(X309,X308,X310) )
=> vplus(vf(X308,X309),vf(X309,X310)) = vf(X308,X310) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(180), 0), imp(cond(axiom(180), 0)))') ).
fof(f2830,plain,
spl57_174,
inference(avatar_split_clause,[],[f959,f2828]) ).
fof(f959,plain,
! [X3,X4,X5] :
( vangle(X3,X4,X5) = vangle(X5,X4,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X3 = X4
| X3 = X5 ),
inference(equality_resolution,[],[f958]) ).
fof(f958,plain,
! [X2,X3,X4,X5] :
( vangle(X2,X4,X3) = vangle(X3,X4,X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X2 != X5
| X3 = X4
| X2 = X3 ),
inference(equality_resolution,[],[f957]) ).
fof(f957,plain,
! [X2,X3,X1,X4,X5] :
( vangle(X2,X1,X3) = vangle(X3,X1,X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X5)
| X2 != X5
| X1 = X3
| X2 = X3 ),
inference(equality_resolution,[],[f676]) ).
fof(f676,plain,
! [X2,X3,X0,X1,X4,X5] :
( vangle(X0,X1,X2) = vangle(X2,X1,X0)
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X5)
| X2 != X5
| X0 = X1
| X0 = X2 ),
inference(cnf_transformation,[],[f284]) ).
fof(f284,plain,
! [X0,X1,X2] :
( vangle(X0,X1,X2) = vangle(X2,X1,X0)
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X2 != X5 )
| X0 = X1
| X0 = X2 ),
inference(flattening,[],[f283]) ).
fof(f283,plain,
! [X0,X1,X2] :
( vangle(X0,X1,X2) = vangle(X2,X1,X0)
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X2 != X5 )
| X0 = X1
| X0 = X2 ),
inference(ennf_transformation,[],[f148]) ).
fof(f148,plain,
! [X0,X1,X2] :
( ( ? [X3] :
( rpoint(X3)
& X0 = X3 )
& ? [X4] :
( rpoint(X4)
& X1 = X4 )
& ? [X5] :
( rpoint(X5)
& X2 = X5 )
& X0 != X1
& X0 != X2 )
=> vangle(X0,X1,X2) = vangle(X2,X1,X0) ),
inference(rectify,[],[f31]) ).
fof(f31,axiom,
! [X90,X91,X92] :
( ( ? [X95] :
( rpoint(X95)
& X90 = X95 )
& ? [X94] :
( rpoint(X94)
& X91 = X94 )
& ? [X93] :
( rpoint(X93)
& X92 = X93 )
& X90 != X91
& X90 != X92 )
=> vangle(X90,X91,X92) = vangle(X92,X91,X90) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(168), 0), imp(cond(axiom(168), 0)))') ).
fof(f2826,plain,
spl57_173,
inference(avatar_split_clause,[],[f907,f2824]) ).
fof(f2824,plain,
( spl57_173
<=> ! [X4,X5,X3] :
( rpoint(vskolem1078(X3,X3,X4,X5))
| ~ rpoint(X3)
| X3 = X4
| X3 = X5
| ~ rpoint(X4)
| ~ rpoint(X5)
| X4 = X5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_173])]) ).
fof(f907,plain,
! [X3,X4,X5] :
( rpoint(vskolem1078(X3,X3,X4,X5))
| ~ rpoint(X3)
| X3 = X4
| X3 = X5
| ~ rpoint(X4)
| ~ rpoint(X5)
| X4 = X5 ),
inference(equality_resolution,[],[f906]) ).
fof(f906,plain,
! [X3,X1,X4,X5] :
( rpoint(vskolem1078(X3,X3,X4,X1))
| ~ rpoint(X3)
| X3 = X4
| X1 = X3
| ~ rpoint(X4)
| ~ rpoint(X5)
| X1 != X5
| X1 = X4 ),
inference(equality_resolution,[],[f905]) ).
fof(f905,plain,
! [X3,X0,X1,X4,X5] :
( rpoint(vskolem1078(X3,X3,X0,X1))
| ~ rpoint(X3)
| X0 = X3
| X1 = X3
| ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X5)
| X1 != X5
| X0 = X1 ),
inference(equality_resolution,[],[f638]) ).
fof(f638,plain,
! [X2,X3,X0,X1,X4,X5] :
( rpoint(vskolem1078(X2,X3,X0,X1))
| ~ rpoint(X3)
| X0 = X2
| X1 = X2
| X2 != X3
| ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X5)
| X1 != X5
| X0 = X1 ),
inference(cnf_transformation,[],[f481]) ).
fof(f481,plain,
! [X0,X1] :
( ! [X2,X3] :
( rpoint(vskolem1078(X2,X3,X0,X1))
| ~ rpoint(X3)
| X0 = X2
| X1 = X2
| X2 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| X0 = X1 ),
inference(rectify,[],[f250]) ).
fof(f250,plain,
! [X0,X1] :
( ! [X4,X5] :
( rpoint(vskolem1078(X4,X5,X0,X1))
| ~ rpoint(X5)
| X0 = X4
| X1 = X4
| X4 != X5 )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 )
| X0 = X1 ),
inference(flattening,[],[f249]) ).
fof(f249,plain,
! [X0,X1] :
( ! [X4,X5] :
( rpoint(vskolem1078(X4,X5,X0,X1))
| ~ rpoint(X5)
| X0 = X4
| X1 = X4
| X4 != X5 )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 )
| X0 = X1 ),
inference(ennf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0,X1] :
( ( ? [X2] :
( rpoint(X2)
& X0 = X2 )
& ? [X3] :
( rpoint(X3)
& X1 = X3 )
& X0 != X1 )
=> ! [X4,X5] :
( ( rpoint(X5)
& X0 != X4
& X1 != X4
& X4 = X5 )
=> rpoint(vskolem1078(X4,X5,X0,X1)) ) ),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X49,X50] :
( ( ? [X52] :
( rpoint(X52)
& X49 = X52 )
& ? [X51] :
( rpoint(X51)
& X50 = X51 )
& X49 != X50 )
=> ! [X53,X54] :
( ( rpoint(X54)
& X49 != X53
& X50 != X53
& X53 = X54 )
=> rpoint(vskolem1078(X53,X54,X49,X50)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(219), 0), 1)') ).
fof(f2793,plain,
( ~ spl57_11
| spl57_172
| ~ spl57_1
| ~ spl57_4
| ~ spl57_155 ),
inference(avatar_split_clause,[],[f2668,f2620,f1652,f1637,f2791,f1687]) ).
fof(f2668,plain,
( ! [X0] :
( ~ rline(sK5)
| ~ rpoint(X0)
| ~ rpoint(sK6)
| ~ ron(X0,sK5)
| rpoint(sK24(X0,sK6))
| sK6 = X0 )
| ~ spl57_4
| ~ spl57_155 ),
inference(resolution,[],[f2621,f1654]) ).
fof(f2772,plain,
spl57_171,
inference(avatar_split_clause,[],[f1323,f2770]) ).
fof(f1323,plain,
! [X2,X3,X1,X5] :
( ron(X1,X3)
| vf(X2,X1) != vf(X2,X5)
| ~ rpoint(X1)
| ~ rcenter(X2,X3)
| ~ rpoint(X5)
| ~ ron(X5,X3) ),
inference(equality_resolution,[],[f1322]) ).
fof(f1322,plain,
! [X2,X3,X1,X4,X5] :
( ron(X1,X3)
| vf(X2,X1) != vf(X2,X4)
| ~ rpoint(X1)
| ~ rcenter(X2,X3)
| ~ rpoint(X5)
| X4 != X5
| ~ ron(X4,X3) ),
inference(equality_resolution,[],[f801]) ).
fof(f801,plain,
! [X2,X3,X0,X1,X4,X5] :
( ron(X0,X3)
| vf(X2,X0) != vf(X2,X4)
| ~ rpoint(X1)
| X0 != X1
| ~ rcenter(X2,X3)
| ~ rpoint(X5)
| X4 != X5
| ~ ron(X4,X3) ),
inference(cnf_transformation,[],[f572]) ).
fof(f572,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ( vf(X2,X0) = vf(X2,X4)
| ~ ron(X0,X3) )
& ( ron(X0,X3)
| vf(X2,X0) != vf(X2,X4) ) )
| ~ rpoint(X1)
| X0 != X1
| ~ rcenter(X2,X3)
| ~ rpoint(X5)
| X4 != X5
| ~ ron(X4,X3) ),
inference(nnf_transformation,[],[f410]) ).
fof(f410,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( vf(X2,X0) = vf(X2,X4)
<=> ron(X0,X3) )
| ~ rpoint(X1)
| X0 != X1
| ~ rcenter(X2,X3)
| ~ rpoint(X5)
| X4 != X5
| ~ ron(X4,X3) ),
inference(flattening,[],[f409]) ).
fof(f409,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( vf(X2,X0) = vf(X2,X4)
<=> ron(X0,X3) )
| ~ rpoint(X1)
| X0 != X1
| ~ rcenter(X2,X3)
| ~ rpoint(X5)
| X4 != X5
| ~ ron(X4,X3) ),
inference(ennf_transformation,[],[f214]) ).
fof(f214,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( rpoint(X1)
& X0 = X1
& rcenter(X2,X3)
& rpoint(X5)
& X4 = X5
& ron(X4,X3) )
=> ( vf(X2,X0) = vf(X2,X4)
<=> ron(X0,X3) ) ),
inference(rectify,[],[f44]) ).
fof(f44,axiom,
! [X195,X196,X197,X198,X199,X200] :
( ( rpoint(X196)
& X195 = X196
& rcenter(X197,X198)
& rpoint(X200)
& X199 = X200
& ron(X199,X198) )
=> ( vf(X197,X195) = vf(X197,X199)
<=> ron(X195,X198) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(184), 0), imp(cond(axiom(184), 0)))') ).
fof(f2768,plain,
spl57_170,
inference(avatar_split_clause,[],[f1321,f2766]) ).
fof(f2766,plain,
( spl57_170
<=> ! [X3,X5,X2,X1] :
( vf(X2,X1) = vf(X2,X5)
| ~ ron(X1,X3)
| ~ rpoint(X1)
| ~ rcenter(X2,X3)
| ~ rpoint(X5)
| ~ ron(X5,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_170])]) ).
fof(f1321,plain,
! [X2,X3,X1,X5] :
( vf(X2,X1) = vf(X2,X5)
| ~ ron(X1,X3)
| ~ rpoint(X1)
| ~ rcenter(X2,X3)
| ~ rpoint(X5)
| ~ ron(X5,X3) ),
inference(equality_resolution,[],[f1320]) ).
fof(f1320,plain,
! [X2,X3,X1,X4,X5] :
( vf(X2,X1) = vf(X2,X4)
| ~ ron(X1,X3)
| ~ rpoint(X1)
| ~ rcenter(X2,X3)
| ~ rpoint(X5)
| X4 != X5
| ~ ron(X4,X3) ),
inference(equality_resolution,[],[f802]) ).
fof(f802,plain,
! [X2,X3,X0,X1,X4,X5] :
( vf(X2,X0) = vf(X2,X4)
| ~ ron(X0,X3)
| ~ rpoint(X1)
| X0 != X1
| ~ rcenter(X2,X3)
| ~ rpoint(X5)
| X4 != X5
| ~ ron(X4,X3) ),
inference(cnf_transformation,[],[f572]) ).
fof(f2764,plain,
spl57_169,
inference(avatar_split_clause,[],[f1295,f2762]) ).
fof(f1295,plain,
! [X3,X1,X5] :
( rS(sK42(X1,X3,X5),X3,X1)
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X3,X1)
| ~ rpoint(X5)
| ~ rS(X5,X3,X1) ),
inference(equality_resolution,[],[f1294]) ).
fof(f1294,plain,
! [X2,X3,X1,X5] :
( rS(sK42(X1,X2,X5),X2,X1)
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X2,X1)
| ~ rpoint(X5)
| ~ rS(X5,X2,X1)
| X2 != X3 ),
inference(equality_resolution,[],[f1293]) ).
fof(f1293,plain,
! [X2,X3,X1,X4,X5] :
( rS(sK42(X1,X2,X4),X2,X1)
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X2,X1)
| ~ rpoint(X5)
| ~ rS(X4,X2,X1)
| X4 != X5
| X2 != X3 ),
inference(equality_resolution,[],[f794]) ).
fof(f794,plain,
! [X2,X3,X0,X1,X4,X5] :
( rS(sK42(X0,X2,X4),X2,X0)
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X3)
| ron(X2,X0)
| ~ rpoint(X5)
| ~ rS(X4,X2,X0)
| X4 != X5
| X2 != X3 ),
inference(cnf_transformation,[],[f568]) ).
fof(f568,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( rpoint(sK42(X0,X2,X4))
& rS(sK42(X0,X2,X4),X2,X0)
& sK42(X0,X2,X4) != X2
& sK42(X0,X2,X4) != X4 )
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X3)
| ron(X2,X0)
| ~ rpoint(X5)
| ~ rS(X4,X2,X0)
| X4 != X5
| X2 != X3 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK42])],[f402,f567]) ).
fof(f567,plain,
! [X0,X2,X4] :
( ? [X6] :
( rpoint(X6)
& rS(X6,X2,X0)
& X2 != X6
& X4 != X6 )
=> ( rpoint(sK42(X0,X2,X4))
& rS(sK42(X0,X2,X4),X2,X0)
& sK42(X0,X2,X4) != X2
& sK42(X0,X2,X4) != X4 ) ),
introduced(choice_axiom,[]) ).
fof(f402,plain,
! [X0,X1,X2,X3,X4,X5] :
( ? [X6] :
( rpoint(X6)
& rS(X6,X2,X0)
& X2 != X6
& X4 != X6 )
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X3)
| ron(X2,X0)
| ~ rpoint(X5)
| ~ rS(X4,X2,X0)
| X4 != X5
| X2 != X3 ),
inference(flattening,[],[f401]) ).
fof(f401,plain,
! [X0,X1,X2,X3,X4,X5] :
( ? [X6] :
( rpoint(X6)
& rS(X6,X2,X0)
& X2 != X6
& X4 != X6 )
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X3)
| ron(X2,X0)
| ~ rpoint(X5)
| ~ rS(X4,X2,X0)
| X4 != X5
| X2 != X3 ),
inference(ennf_transformation,[],[f210]) ).
fof(f210,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( rline(X1)
& X0 = X1
& rpoint(X3)
& ~ ron(X2,X0)
& rpoint(X5)
& rS(X4,X2,X0)
& X4 = X5
& X2 = X3 )
=> ? [X6] :
( rpoint(X6)
& rS(X6,X2,X0)
& X2 != X6
& X4 != X6 ) ),
inference(rectify,[],[f99]) ).
fof(f99,axiom,
! [X581,X582,X583,X584,X585,X586] :
( ( rline(X582)
& X581 = X582
& rpoint(X584)
& ~ ron(X583,X581)
& rpoint(X586)
& rS(X585,X583,X581)
& X585 = X586
& X583 = X584 )
=> ? [X587] :
( rpoint(X587)
& rS(X587,X583,X581)
& X583 != X587
& X585 != X587 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(35), 0), imp(cond(axiom(35), 0)))') ).
fof(f2760,plain,
spl57_168,
inference(avatar_split_clause,[],[f1245,f2758]) ).
fof(f1245,plain,
! [X6,X7,X4,X5] :
( rS(X6,X7,X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rline(X4)
| ~ rS(X5,X6,X4)
| ~ rS(X5,X7,X4) ),
inference(equality_resolution,[],[f1244]) ).
fof(f1244,plain,
! [X3,X6,X7,X4,X5] :
( rS(X6,X7,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rline(X4)
| X3 != X4
| ~ rS(X5,X6,X3)
| ~ rS(X5,X7,X3) ),
inference(equality_resolution,[],[f1243]) ).
fof(f1243,plain,
! [X2,X3,X6,X7,X4,X5] :
( rS(X6,X2,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| X3 != X4
| ~ rS(X5,X6,X3)
| ~ rS(X5,X2,X3) ),
inference(equality_resolution,[],[f1242]) ).
fof(f1242,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( rS(X1,X2,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| X3 != X4
| ~ rS(X5,X1,X3)
| ~ rS(X5,X2,X3) ),
inference(equality_resolution,[],[f782]) ).
fof(f782,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( rS(X1,X2,X3)
| ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| X3 != X4
| ~ rS(X0,X1,X3)
| ~ rS(X0,X2,X3) ),
inference(cnf_transformation,[],[f390]) ).
fof(f390,plain,
! [X0,X1,X2,X3,X4] :
( rS(X1,X2,X3)
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| ~ rline(X4)
| X3 != X4
| ~ rS(X0,X1,X3)
| ~ rS(X0,X2,X3) ),
inference(flattening,[],[f389]) ).
fof(f389,plain,
! [X0,X1,X2,X3,X4] :
( rS(X1,X2,X3)
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| ~ rline(X4)
| X3 != X4
| ~ rS(X0,X1,X3)
| ~ rS(X0,X2,X3) ),
inference(ennf_transformation,[],[f203]) ).
fof(f203,plain,
! [X0,X1,X2,X3,X4] :
( ( ? [X5] :
( rpoint(X5)
& X0 = X5 )
& ? [X6] :
( rpoint(X6)
& X1 = X6 )
& ? [X7] :
( rpoint(X7)
& X2 = X7 )
& rline(X4)
& X3 = X4
& rS(X0,X1,X3)
& rS(X0,X2,X3) )
=> rS(X1,X2,X3) ),
inference(rectify,[],[f83]) ).
fof(f83,axiom,
! [X480,X481,X482,X483,X484] :
( ( ? [X487] :
( rpoint(X487)
& X480 = X487 )
& ? [X486] :
( rpoint(X486)
& X481 = X486 )
& ? [X485] :
( rpoint(X485)
& X482 = X485 )
& rline(X484)
& X483 = X484
& rS(X480,X481,X483)
& rS(X480,X482,X483) )
=> rS(X481,X482,X483) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(101), 0), imp(cond(axiom(101), 0)))') ).
fof(f2756,plain,
spl57_167,
inference(avatar_split_clause,[],[f1241,f2754]) ).
fof(f2754,plain,
( spl57_167
<=> ! [X5,X4,X7,X6] :
( rS(X5,X6,X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rline(X4)
| ~ rR(X6,X5,X7)
| ~ rS(X5,X7,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_167])]) ).
fof(f1241,plain,
! [X6,X7,X4,X5] :
( rS(X5,X6,X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rline(X4)
| ~ rR(X6,X5,X7)
| ~ rS(X5,X7,X4) ),
inference(equality_resolution,[],[f1240]) ).
fof(f1240,plain,
! [X3,X6,X7,X4,X5] :
( rS(X5,X6,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rline(X4)
| X3 != X4
| ~ rR(X6,X5,X7)
| ~ rS(X5,X7,X3) ),
inference(equality_resolution,[],[f1239]) ).
fof(f1239,plain,
! [X2,X3,X6,X7,X4,X5] :
( rS(X5,X6,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| X3 != X4
| ~ rR(X6,X5,X2)
| ~ rS(X5,X2,X3) ),
inference(equality_resolution,[],[f1238]) ).
fof(f1238,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( rS(X5,X1,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| X3 != X4
| ~ rR(X1,X5,X2)
| ~ rS(X5,X2,X3) ),
inference(equality_resolution,[],[f781]) ).
fof(f781,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( rS(X0,X1,X3)
| ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| X3 != X4
| ~ rR(X1,X0,X2)
| ~ rS(X0,X2,X3) ),
inference(cnf_transformation,[],[f388]) ).
fof(f388,plain,
! [X0,X1,X2,X3,X4] :
( rS(X0,X1,X3)
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| ~ rline(X4)
| X3 != X4
| ~ rR(X1,X0,X2)
| ~ rS(X0,X2,X3) ),
inference(flattening,[],[f387]) ).
fof(f387,plain,
! [X0,X1,X2,X3,X4] :
( rS(X0,X1,X3)
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| ~ rline(X4)
| X3 != X4
| ~ rR(X1,X0,X2)
| ~ rS(X0,X2,X3) ),
inference(ennf_transformation,[],[f202]) ).
fof(f202,plain,
! [X0,X1,X2,X3,X4] :
( ( ? [X5] :
( rpoint(X5)
& X0 = X5 )
& ? [X6] :
( rpoint(X6)
& X1 = X6 )
& ? [X7] :
( rpoint(X7)
& X2 = X7 )
& rline(X4)
& X3 = X4
& rR(X1,X0,X2)
& rS(X0,X2,X3) )
=> rS(X0,X1,X3) ),
inference(rectify,[],[f81]) ).
fof(f81,axiom,
! [X464,X465,X466,X467,X468] :
( ( ? [X471] :
( rpoint(X471)
& X464 = X471 )
& ? [X470] :
( rpoint(X470)
& X465 = X470 )
& ? [X469] :
( rpoint(X469)
& X466 = X469 )
& rline(X468)
& X467 = X468
& rR(X465,X464,X466)
& rS(X464,X466,X467) )
=> rS(X464,X465,X467) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(105), 0), imp(cond(axiom(105), 0)))') ).
fof(f2743,plain,
spl57_166,
inference(avatar_split_clause,[],[f1130,f2741]) ).
fof(f2741,plain,
( spl57_166
<=> ! [X5,X4,X7,X6] :
( rR(X7,X4,X6)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rR(X5,X4,X6)
| ~ rR(X7,X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_166])]) ).
fof(f1130,plain,
! [X6,X7,X4,X5] :
( rR(X7,X4,X6)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rR(X5,X4,X6)
| ~ rR(X7,X4,X5) ),
inference(equality_resolution,[],[f1129]) ).
fof(f1129,plain,
! [X3,X6,X7,X4,X5] :
( rR(X3,X4,X6)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X3 != X7
| ~ rR(X5,X4,X6)
| ~ rR(X3,X4,X5) ),
inference(equality_resolution,[],[f1128]) ).
fof(f1128,plain,
! [X2,X3,X6,X7,X4,X5] :
( rR(X3,X4,X2)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X2 != X6
| ~ rpoint(X7)
| X3 != X7
| ~ rR(X5,X4,X2)
| ~ rR(X3,X4,X5) ),
inference(equality_resolution,[],[f1127]) ).
fof(f1127,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( rR(X3,X4,X2)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X1 != X5
| ~ rpoint(X6)
| X2 != X6
| ~ rpoint(X7)
| X3 != X7
| ~ rR(X1,X4,X2)
| ~ rR(X3,X4,X1) ),
inference(equality_resolution,[],[f748]) ).
fof(f748,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( rR(X3,X0,X2)
| ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X5)
| X1 != X5
| ~ rpoint(X6)
| X2 != X6
| ~ rpoint(X7)
| X3 != X7
| ~ rR(X1,X0,X2)
| ~ rR(X3,X0,X1) ),
inference(cnf_transformation,[],[f356]) ).
fof(f356,plain,
! [X0,X1,X2,X3] :
( rR(X3,X0,X2)
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X2 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X3 != X7 )
| ~ rR(X1,X0,X2)
| ~ rR(X3,X0,X1) ),
inference(flattening,[],[f355]) ).
fof(f355,plain,
! [X0,X1,X2,X3] :
( rR(X3,X0,X2)
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X2 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X3 != X7 )
| ~ rR(X1,X0,X2)
| ~ rR(X3,X0,X1) ),
inference(ennf_transformation,[],[f185]) ).
fof(f185,plain,
! [X0,X1,X2,X3] :
( ( ? [X4] :
( rpoint(X4)
& X0 = X4 )
& ? [X5] :
( rpoint(X5)
& X1 = X5 )
& ? [X6] :
( rpoint(X6)
& X2 = X6 )
& ? [X7] :
( rpoint(X7)
& X3 = X7 )
& rR(X1,X0,X2)
& rR(X3,X0,X1) )
=> rR(X3,X0,X2) ),
inference(rectify,[],[f86]) ).
fof(f86,axiom,
! [X500,X501,X502,X503] :
( ( ? [X507] :
( rpoint(X507)
& X500 = X507 )
& ? [X506] :
( rpoint(X506)
& X501 = X506 )
& ? [X505] :
( rpoint(X505)
& X502 = X505 )
& ? [X504] :
( rpoint(X504)
& X503 = X504 )
& rR(X501,X500,X502)
& rR(X503,X500,X501) )
=> rR(X503,X500,X502) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(87), 0), imp(cond(axiom(87), 0)))') ).
fof(f2739,plain,
spl57_165,
inference(avatar_split_clause,[],[f1126,f2737]) ).
fof(f2737,plain,
( spl57_165
<=> ! [X5,X4,X7,X6] :
( rR(X5,X4,X7)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rR(X5,X4,X6)
| ~ rR(X6,X5,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_165])]) ).
fof(f1126,plain,
! [X6,X7,X4,X5] :
( rR(X5,X4,X7)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rR(X5,X4,X6)
| ~ rR(X6,X5,X7) ),
inference(equality_resolution,[],[f1125]) ).
fof(f1125,plain,
! [X3,X6,X7,X4,X5] :
( rR(X5,X4,X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X3 != X7
| ~ rR(X5,X4,X6)
| ~ rR(X6,X5,X3) ),
inference(equality_resolution,[],[f1124]) ).
fof(f1124,plain,
! [X2,X3,X6,X7,X4,X5] :
( rR(X5,X4,X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X2 != X6
| ~ rpoint(X7)
| X3 != X7
| ~ rR(X5,X4,X2)
| ~ rR(X2,X5,X3) ),
inference(equality_resolution,[],[f1123]) ).
fof(f1123,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( rR(X1,X4,X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X1 != X5
| ~ rpoint(X6)
| X2 != X6
| ~ rpoint(X7)
| X3 != X7
| ~ rR(X1,X4,X2)
| ~ rR(X2,X1,X3) ),
inference(equality_resolution,[],[f747]) ).
fof(f747,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( rR(X1,X0,X3)
| ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X5)
| X1 != X5
| ~ rpoint(X6)
| X2 != X6
| ~ rpoint(X7)
| X3 != X7
| ~ rR(X1,X0,X2)
| ~ rR(X2,X1,X3) ),
inference(cnf_transformation,[],[f354]) ).
fof(f354,plain,
! [X0,X1,X2,X3] :
( rR(X1,X0,X3)
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X2 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X3 != X7 )
| ~ rR(X1,X0,X2)
| ~ rR(X2,X1,X3) ),
inference(flattening,[],[f353]) ).
fof(f353,plain,
! [X0,X1,X2,X3] :
( rR(X1,X0,X3)
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X2 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X3 != X7 )
| ~ rR(X1,X0,X2)
| ~ rR(X2,X1,X3) ),
inference(ennf_transformation,[],[f184]) ).
fof(f184,plain,
! [X0,X1,X2,X3] :
( ( ? [X4] :
( rpoint(X4)
& X0 = X4 )
& ? [X5] :
( rpoint(X5)
& X1 = X5 )
& ? [X6] :
( rpoint(X6)
& X2 = X6 )
& ? [X7] :
( rpoint(X7)
& X3 = X7 )
& rR(X1,X0,X2)
& rR(X2,X1,X3) )
=> rR(X1,X0,X3) ),
inference(rectify,[],[f38]) ).
fof(f38,axiom,
! [X123,X124,X125,X126] :
( ( ? [X130] :
( rpoint(X130)
& X123 = X130 )
& ? [X129] :
( rpoint(X129)
& X124 = X129 )
& ? [X128] :
( rpoint(X128)
& X125 = X128 )
& ? [X127] :
( rpoint(X127)
& X126 = X127 )
& rR(X124,X123,X125)
& rR(X125,X124,X126) )
=> rR(X124,X123,X126) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(89), 0), imp(cond(axiom(89), 0)))') ).
fof(f2735,plain,
spl57_164,
inference(avatar_split_clause,[],[f1122,f2733]) ).
fof(f2733,plain,
( spl57_164
<=> ! [X5,X4,X7,X6] :
( ~ rR(X5,X6,X7)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rR(X5,X4,X6)
| ~ rR(X5,X4,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_164])]) ).
fof(f1122,plain,
! [X6,X7,X4,X5] :
( ~ rR(X5,X6,X7)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rR(X5,X4,X6)
| ~ rR(X5,X4,X7) ),
inference(equality_resolution,[],[f1121]) ).
fof(f1121,plain,
! [X3,X6,X7,X4,X5] :
( ~ rR(X5,X6,X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X3 != X7
| ~ rR(X5,X4,X6)
| ~ rR(X5,X4,X3) ),
inference(equality_resolution,[],[f1120]) ).
fof(f1120,plain,
! [X2,X3,X6,X7,X4,X5] :
( ~ rR(X5,X2,X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X2 != X6
| ~ rpoint(X7)
| X3 != X7
| ~ rR(X5,X4,X2)
| ~ rR(X5,X4,X3) ),
inference(equality_resolution,[],[f1119]) ).
fof(f1119,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( ~ rR(X1,X2,X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X1 != X5
| ~ rpoint(X6)
| X2 != X6
| ~ rpoint(X7)
| X3 != X7
| ~ rR(X1,X4,X2)
| ~ rR(X1,X4,X3) ),
inference(equality_resolution,[],[f746]) ).
fof(f746,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ rR(X1,X2,X3)
| ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X5)
| X1 != X5
| ~ rpoint(X6)
| X2 != X6
| ~ rpoint(X7)
| X3 != X7
| ~ rR(X1,X0,X2)
| ~ rR(X1,X0,X3) ),
inference(cnf_transformation,[],[f352]) ).
fof(f352,plain,
! [X0,X1,X2,X3] :
( ~ rR(X1,X2,X3)
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X2 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X3 != X7 )
| ~ rR(X1,X0,X2)
| ~ rR(X1,X0,X3) ),
inference(flattening,[],[f351]) ).
fof(f351,plain,
! [X0,X1,X2,X3] :
( ~ rR(X1,X2,X3)
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X2 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X3 != X7 )
| ~ rR(X1,X0,X2)
| ~ rR(X1,X0,X3) ),
inference(ennf_transformation,[],[f183]) ).
fof(f183,plain,
! [X0,X1,X2,X3] :
( ( ? [X4] :
( rpoint(X4)
& X0 = X4 )
& ? [X5] :
( rpoint(X5)
& X1 = X5 )
& ? [X6] :
( rpoint(X6)
& X2 = X6 )
& ? [X7] :
( rpoint(X7)
& X3 = X7 )
& rR(X1,X0,X2)
& rR(X1,X0,X3) )
=> ~ rR(X1,X2,X3) ),
inference(rectify,[],[f85]) ).
fof(f85,axiom,
! [X492,X493,X494,X495] :
( ( ? [X499] :
( rpoint(X499)
& X492 = X499 )
& ? [X498] :
( rpoint(X498)
& X493 = X498 )
& ? [X497] :
( rpoint(X497)
& X494 = X497 )
& ? [X496] :
( rpoint(X496)
& X495 = X496 )
& rR(X493,X492,X494)
& rR(X493,X492,X495) )
=> ~ rR(X493,X494,X495) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(93), 0), imp(cond(axiom(93), 0)))') ).
fof(f2731,plain,
spl57_163,
inference(avatar_split_clause,[],[f1100,f2729]) ).
fof(f1100,plain,
! [X2,X3,X4,X5] :
( rinside(X4,X3)
| ~ rless(vf(X2,X4),vf(X2,X5))
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rcenter(X2,X3)
| ~ ron(X5,X3) ),
inference(equality_resolution,[],[f1099]) ).
fof(f1099,plain,
! [X2,X3,X1,X4,X5] :
( rinside(X4,X3)
| ~ rless(vf(X2,X4),vf(X2,X1))
| ~ rpoint(X4)
| ~ rpoint(X5)
| X1 != X5
| ~ rcenter(X2,X3)
| ~ ron(X1,X3) ),
inference(equality_resolution,[],[f738]) ).
fof(f738,plain,
! [X2,X3,X0,X1,X4,X5] :
( rinside(X0,X3)
| ~ rless(vf(X2,X0),vf(X2,X1))
| ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X5)
| X1 != X5
| ~ rcenter(X2,X3)
| ~ ron(X1,X3) ),
inference(cnf_transformation,[],[f544]) ).
fof(f544,plain,
! [X0,X1,X2,X3] :
( ( ( rless(vf(X2,X0),vf(X2,X1))
| ~ rinside(X0,X3) )
& ( rinside(X0,X3)
| ~ rless(vf(X2,X0),vf(X2,X1)) ) )
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| ~ rcenter(X2,X3)
| ~ ron(X1,X3) ),
inference(nnf_transformation,[],[f344]) ).
fof(f344,plain,
! [X0,X1,X2,X3] :
( ( rless(vf(X2,X0),vf(X2,X1))
<=> rinside(X0,X3) )
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| ~ rcenter(X2,X3)
| ~ ron(X1,X3) ),
inference(flattening,[],[f343]) ).
fof(f343,plain,
! [X0,X1,X2,X3] :
( ( rless(vf(X2,X0),vf(X2,X1))
<=> rinside(X0,X3) )
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| ~ rcenter(X2,X3)
| ~ ron(X1,X3) ),
inference(ennf_transformation,[],[f179]) ).
fof(f179,plain,
! [X0,X1,X2,X3] :
( ( ? [X4] :
( rpoint(X4)
& X0 = X4 )
& ? [X5] :
( rpoint(X5)
& X1 = X5 )
& rcenter(X2,X3)
& ron(X1,X3) )
=> ( rless(vf(X2,X0),vf(X2,X1))
<=> rinside(X0,X3) ) ),
inference(rectify,[],[f43]) ).
fof(f43,axiom,
! [X189,X190,X191,X192] :
( ( ? [X194] :
( rpoint(X194)
& X189 = X194 )
& ? [X193] :
( rpoint(X193)
& X190 = X193 )
& rcenter(X191,X192)
& ron(X190,X192) )
=> ( rless(vf(X191,X189),vf(X191,X190))
<=> rinside(X189,X192) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(186), 0), imp(cond(axiom(186), 0)))') ).
fof(f2727,plain,
spl57_162,
inference(avatar_split_clause,[],[f1098,f2725]) ).
fof(f2725,plain,
( spl57_162
<=> ! [X3,X4,X5,X2] :
( rless(vf(X2,X4),vf(X2,X5))
| ~ rinside(X4,X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rcenter(X2,X3)
| ~ ron(X5,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_162])]) ).
fof(f1098,plain,
! [X2,X3,X4,X5] :
( rless(vf(X2,X4),vf(X2,X5))
| ~ rinside(X4,X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rcenter(X2,X3)
| ~ ron(X5,X3) ),
inference(equality_resolution,[],[f1097]) ).
fof(f1097,plain,
! [X2,X3,X1,X4,X5] :
( rless(vf(X2,X4),vf(X2,X1))
| ~ rinside(X4,X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X1 != X5
| ~ rcenter(X2,X3)
| ~ ron(X1,X3) ),
inference(equality_resolution,[],[f739]) ).
fof(f739,plain,
! [X2,X3,X0,X1,X4,X5] :
( rless(vf(X2,X0),vf(X2,X1))
| ~ rinside(X0,X3)
| ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X5)
| X1 != X5
| ~ rcenter(X2,X3)
| ~ ron(X1,X3) ),
inference(cnf_transformation,[],[f544]) ).
fof(f2684,plain,
( ~ spl57_9
| spl57_161
| ~ spl57_1
| ~ spl57_3
| ~ spl57_155 ),
inference(avatar_split_clause,[],[f2667,f2620,f1647,f1637,f2682,f1677]) ).
fof(f2667,plain,
( ! [X0] :
( ~ rline(sK5)
| ~ rpoint(X0)
| ~ rpoint(sK8)
| ~ ron(X0,sK5)
| rpoint(sK24(X0,sK8))
| sK8 = X0 )
| ~ spl57_3
| ~ spl57_155 ),
inference(resolution,[],[f2621,f1649]) ).
fof(f2642,plain,
spl57_160,
inference(avatar_split_clause,[],[f1301,f2640]) ).
fof(f2640,plain,
( spl57_160
<=> ! [X5,X1,X3] :
( sK42(X1,X3,X5) != X5
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X3,X1)
| ~ rpoint(X5)
| ~ rS(X5,X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_160])]) ).
fof(f1301,plain,
! [X3,X1,X5] :
( sK42(X1,X3,X5) != X5
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X3,X1)
| ~ rpoint(X5)
| ~ rS(X5,X3,X1) ),
inference(equality_resolution,[],[f1300]) ).
fof(f1300,plain,
! [X2,X3,X1,X5] :
( sK42(X1,X2,X5) != X5
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X2,X1)
| ~ rpoint(X5)
| ~ rS(X5,X2,X1)
| X2 != X3 ),
inference(equality_resolution,[],[f1299]) ).
fof(f1299,plain,
! [X2,X3,X1,X4,X5] :
( sK42(X1,X2,X4) != X4
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X2,X1)
| ~ rpoint(X5)
| ~ rS(X4,X2,X1)
| X4 != X5
| X2 != X3 ),
inference(equality_resolution,[],[f792]) ).
fof(f792,plain,
! [X2,X3,X0,X1,X4,X5] :
( sK42(X0,X2,X4) != X4
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X3)
| ron(X2,X0)
| ~ rpoint(X5)
| ~ rS(X4,X2,X0)
| X4 != X5
| X2 != X3 ),
inference(cnf_transformation,[],[f568]) ).
fof(f2638,plain,
spl57_159,
inference(avatar_split_clause,[],[f1298,f2636]) ).
fof(f2636,plain,
( spl57_159
<=> ! [X5,X1,X3] :
( sK42(X1,X3,X5) != X3
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X3,X1)
| ~ rpoint(X5)
| ~ rS(X5,X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_159])]) ).
fof(f1298,plain,
! [X3,X1,X5] :
( sK42(X1,X3,X5) != X3
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X3,X1)
| ~ rpoint(X5)
| ~ rS(X5,X3,X1) ),
inference(equality_resolution,[],[f1297]) ).
fof(f1297,plain,
! [X2,X3,X1,X5] :
( sK42(X1,X2,X5) != X2
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X2,X1)
| ~ rpoint(X5)
| ~ rS(X5,X2,X1)
| X2 != X3 ),
inference(equality_resolution,[],[f1296]) ).
fof(f1296,plain,
! [X2,X3,X1,X4,X5] :
( sK42(X1,X2,X4) != X2
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X2,X1)
| ~ rpoint(X5)
| ~ rS(X4,X2,X1)
| X4 != X5
| X2 != X3 ),
inference(equality_resolution,[],[f793]) ).
fof(f793,plain,
! [X2,X3,X0,X1,X4,X5] :
( sK42(X0,X2,X4) != X2
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X3)
| ron(X2,X0)
| ~ rpoint(X5)
| ~ rS(X4,X2,X0)
| X4 != X5
| X2 != X3 ),
inference(cnf_transformation,[],[f568]) ).
fof(f2634,plain,
spl57_158,
inference(avatar_split_clause,[],[f1205,f2632]) ).
fof(f2632,plain,
( spl57_158
<=> ! [X5,X4,X7,X6] :
( ~ rS(X5,X7,X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rline(X4)
| ~ rR(X6,X5,X7)
| ~ ron(X6,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_158])]) ).
fof(f1205,plain,
! [X6,X7,X4,X5] :
( ~ rS(X5,X7,X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rline(X4)
| ~ rR(X6,X5,X7)
| ~ ron(X6,X4) ),
inference(equality_resolution,[],[f1204]) ).
fof(f1204,plain,
! [X3,X6,X7,X4,X5] :
( ~ rS(X5,X7,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rline(X4)
| X3 != X4
| ~ rR(X6,X5,X7)
| ~ ron(X6,X3) ),
inference(equality_resolution,[],[f1203]) ).
fof(f1203,plain,
! [X2,X3,X6,X7,X4,X5] :
( ~ rS(X5,X2,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| X3 != X4
| ~ rR(X6,X5,X2)
| ~ ron(X6,X3) ),
inference(equality_resolution,[],[f1202]) ).
fof(f1202,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( ~ rS(X5,X2,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| X3 != X4
| ~ rR(X1,X5,X2)
| ~ ron(X1,X3) ),
inference(equality_resolution,[],[f772]) ).
fof(f772,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ rS(X0,X2,X3)
| ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| X3 != X4
| ~ rR(X1,X0,X2)
| ~ ron(X1,X3) ),
inference(cnf_transformation,[],[f380]) ).
fof(f380,plain,
! [X0,X1,X2,X3,X4] :
( ~ rS(X0,X2,X3)
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| ~ rline(X4)
| X3 != X4
| ~ rR(X1,X0,X2)
| ~ ron(X1,X3) ),
inference(flattening,[],[f379]) ).
fof(f379,plain,
! [X0,X1,X2,X3,X4] :
( ~ rS(X0,X2,X3)
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| ~ rline(X4)
| X3 != X4
| ~ rR(X1,X0,X2)
| ~ ron(X1,X3) ),
inference(ennf_transformation,[],[f198]) ).
fof(f198,plain,
! [X0,X1,X2,X3,X4] :
( ( ? [X5] :
( rpoint(X5)
& X0 = X5 )
& ? [X6] :
( rpoint(X6)
& X1 = X6 )
& ? [X7] :
( rpoint(X7)
& X2 = X7 )
& rline(X4)
& X3 = X4
& rR(X1,X0,X2)
& ron(X1,X3) )
=> ~ rS(X0,X2,X3) ),
inference(rectify,[],[f60]) ).
fof(f60,axiom,
! [X285,X286,X287,X288,X289] :
( ( ? [X292] :
( rpoint(X292)
& X285 = X292 )
& ? [X291] :
( rpoint(X291)
& X286 = X291 )
& ? [X290] :
( rpoint(X290)
& X287 = X290 )
& rline(X289)
& X288 = X289
& rR(X286,X285,X287)
& ron(X286,X288) )
=> ~ rS(X285,X287,X288) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(109), 0), imp(cond(axiom(109), 0)))') ).
fof(f2630,plain,
spl57_157,
inference(avatar_split_clause,[],[f1102,f2628]) ).
fof(f1102,plain,
! [X2,X3,X4,X5] :
( rintersect(X2,X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ ron(X4,X2)
| ~ rinside(X5,X2)
| ~ rinside(X4,X3)
| ~ ron(X5,X3) ),
inference(equality_resolution,[],[f1101]) ).
fof(f1101,plain,
! [X2,X3,X1,X4,X5] :
( rintersect(X2,X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X1 != X5
| ~ ron(X4,X2)
| ~ rinside(X1,X2)
| ~ rinside(X4,X3)
| ~ ron(X1,X3) ),
inference(equality_resolution,[],[f740]) ).
fof(f740,plain,
! [X2,X3,X0,X1,X4,X5] :
( rintersect(X2,X3)
| ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X5)
| X1 != X5
| ~ ron(X0,X2)
| ~ rinside(X1,X2)
| ~ rinside(X0,X3)
| ~ ron(X1,X3) ),
inference(cnf_transformation,[],[f346]) ).
fof(f346,plain,
! [X0,X1,X2,X3] :
( rintersect(X2,X3)
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| ~ ron(X0,X2)
| ~ rinside(X1,X2)
| ~ rinside(X0,X3)
| ~ ron(X1,X3) ),
inference(flattening,[],[f345]) ).
fof(f345,plain,
! [X0,X1,X2,X3] :
( rintersect(X2,X3)
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| ~ ron(X0,X2)
| ~ rinside(X1,X2)
| ~ rinside(X0,X3)
| ~ ron(X1,X3) ),
inference(ennf_transformation,[],[f180]) ).
fof(f180,plain,
! [X0,X1,X2,X3] :
( ( ? [X4] :
( rpoint(X4)
& X0 = X4 )
& ? [X5] :
( rpoint(X5)
& X1 = X5 )
& ron(X0,X2)
& rinside(X1,X2)
& rinside(X0,X3)
& ron(X1,X3) )
=> rintersect(X2,X3) ),
inference(rectify,[],[f46]) ).
fof(f46,axiom,
! [X205,X206,X207,X208] :
( ( ? [X210] :
( rpoint(X210)
& X205 = X210 )
& ? [X209] :
( rpoint(X209)
& X206 = X209 )
& ron(X205,X207)
& rinside(X206,X207)
& rinside(X205,X208)
& ron(X206,X208) )
=> rintersect(X207,X208) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(135), 0), imp(cond(axiom(135), 0)))') ).
fof(f2626,plain,
spl57_156,
inference(avatar_split_clause,[],[f1022,f2624]) ).
fof(f1022,plain,
! [X1,X6,X5] :
( rpoint(sK25(X5,X6))
| ~ rline(X1)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ ron(X5,X1)
| ~ ron(X6,X1)
| X5 = X6 ),
inference(equality_resolution,[],[f1021]) ).
fof(f1021,plain,
! [X3,X1,X6,X5] :
( rpoint(sK25(X5,X3))
| ~ rline(X1)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X3 != X6
| ~ ron(X5,X1)
| ~ ron(X3,X1)
| X3 = X5 ),
inference(equality_resolution,[],[f1020]) ).
fof(f1020,plain,
! [X2,X3,X1,X6,X5] :
( rpoint(sK25(X2,X3))
| ~ rline(X1)
| ~ rpoint(X5)
| X2 != X5
| ~ rpoint(X6)
| X3 != X6
| ~ ron(X2,X1)
| ~ ron(X3,X1)
| X2 = X3 ),
inference(equality_resolution,[],[f696]) ).
fof(f696,plain,
! [X2,X3,X0,X1,X6,X5] :
( rpoint(sK25(X2,X3))
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X5)
| X2 != X5
| ~ rpoint(X6)
| X3 != X6
| ~ ron(X2,X0)
| ~ ron(X3,X0)
| X2 = X3 ),
inference(cnf_transformation,[],[f523]) ).
fof(f2622,plain,
spl57_155,
inference(avatar_split_clause,[],[f1016,f2620]) ).
fof(f1016,plain,
! [X1,X6,X5] :
( rpoint(sK24(X5,X6))
| ~ rline(X1)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ ron(X5,X1)
| ~ ron(X6,X1)
| X5 = X6 ),
inference(equality_resolution,[],[f1015]) ).
fof(f1015,plain,
! [X3,X1,X6,X5] :
( rpoint(sK24(X5,X3))
| ~ rline(X1)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X3 != X6
| ~ ron(X5,X1)
| ~ ron(X3,X1)
| X3 = X5 ),
inference(equality_resolution,[],[f1014]) ).
fof(f1014,plain,
! [X2,X3,X1,X6,X5] :
( rpoint(sK24(X2,X3))
| ~ rline(X1)
| ~ rpoint(X5)
| X2 != X5
| ~ rpoint(X6)
| X3 != X6
| ~ ron(X2,X1)
| ~ ron(X3,X1)
| X2 = X3 ),
inference(equality_resolution,[],[f694]) ).
fof(f694,plain,
! [X2,X3,X0,X1,X6,X5] :
( rpoint(sK24(X2,X3))
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X5)
| X2 != X5
| ~ rpoint(X6)
| X3 != X6
| ~ ron(X2,X0)
| ~ ron(X3,X0)
| X2 = X3 ),
inference(cnf_transformation,[],[f520]) ).
fof(f2618,plain,
( spl57_154
| ~ spl57_6
| ~ spl57_120 ),
inference(avatar_split_clause,[],[f2472,f2265,f1662,f2615]) ).
fof(f2615,plain,
( spl57_154
<=> vd684 = vg(vd14,vd14,vd1409) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_154])]) ).
fof(f2472,plain,
( vd684 = vg(vd14,vd14,vd1409)
| ~ spl57_6
| ~ spl57_120 ),
inference(resolution,[],[f2266,f1664]) ).
fof(f2575,plain,
spl57_153,
inference(avatar_split_clause,[],[f1338,f2573]) ).
fof(f2573,plain,
( spl57_153
<=> ! [X5,X1,X3] :
( sK44(X1,X3,X5) != X5
| ~ rline(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ ron(X3,X1)
| ~ ron(X5,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_153])]) ).
fof(f1338,plain,
! [X3,X1,X5] :
( sK44(X1,X3,X5) != X5
| ~ rline(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ ron(X3,X1)
| ~ ron(X5,X1) ),
inference(equality_resolution,[],[f1337]) ).
fof(f1337,plain,
! [X3,X1,X4,X5] :
( sK44(X1,X3,X4) != X4
| ~ rline(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| X4 != X5
| ~ ron(X3,X1)
| ~ ron(X4,X1) ),
inference(equality_resolution,[],[f1336]) ).
fof(f1336,plain,
! [X2,X3,X1,X4,X5] :
( sK44(X1,X2,X4) != X4
| ~ rline(X1)
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ ron(X2,X1)
| ~ ron(X4,X1) ),
inference(equality_resolution,[],[f804]) ).
fof(f804,plain,
! [X2,X3,X0,X1,X4,X5] :
( sK44(X0,X2,X4) != X4
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ ron(X2,X0)
| ~ ron(X4,X0) ),
inference(cnf_transformation,[],[f574]) ).
fof(f574,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( rpoint(sK44(X0,X2,X4))
& ron(sK44(X0,X2,X4),X0)
& sK44(X0,X2,X4) != X2
& sK44(X0,X2,X4) != X4 )
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ ron(X2,X0)
| ~ ron(X4,X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK44])],[f414,f573]) ).
fof(f573,plain,
! [X0,X2,X4] :
( ? [X6] :
( rpoint(X6)
& ron(X6,X0)
& X2 != X6
& X4 != X6 )
=> ( rpoint(sK44(X0,X2,X4))
& ron(sK44(X0,X2,X4),X0)
& sK44(X0,X2,X4) != X2
& sK44(X0,X2,X4) != X4 ) ),
introduced(choice_axiom,[]) ).
fof(f414,plain,
! [X0,X1,X2,X3,X4,X5] :
( ? [X6] :
( rpoint(X6)
& ron(X6,X0)
& X2 != X6
& X4 != X6 )
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ ron(X2,X0)
| ~ ron(X4,X0) ),
inference(flattening,[],[f413]) ).
fof(f413,plain,
! [X0,X1,X2,X3,X4,X5] :
( ? [X6] :
( rpoint(X6)
& ron(X6,X0)
& X2 != X6
& X4 != X6 )
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ ron(X2,X0)
| ~ ron(X4,X0) ),
inference(ennf_transformation,[],[f216]) ).
fof(f216,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( rline(X1)
& X0 = X1
& rpoint(X3)
& X2 = X3
& rpoint(X5)
& X4 = X5
& ron(X2,X0)
& ron(X4,X0) )
=> ? [X6] :
( rpoint(X6)
& ron(X6,X0)
& X2 != X6
& X4 != X6 ) ),
inference(rectify,[],[f107]) ).
fof(f107,axiom,
! [X645,X646,X647,X648,X649,X650] :
( ( rline(X646)
& X645 = X646
& rpoint(X648)
& X647 = X648
& rpoint(X650)
& X649 = X650
& ron(X647,X645)
& ron(X649,X645) )
=> ? [X651] :
( rpoint(X651)
& ron(X651,X645)
& X647 != X651
& X649 != X651 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(19), 0), imp(cond(axiom(19), 0)))') ).
fof(f2571,plain,
spl57_152,
inference(avatar_split_clause,[],[f1335,f2569]) ).
fof(f2569,plain,
( spl57_152
<=> ! [X5,X1,X3] :
( sK44(X1,X3,X5) != X3
| ~ rline(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ ron(X3,X1)
| ~ ron(X5,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_152])]) ).
fof(f1335,plain,
! [X3,X1,X5] :
( sK44(X1,X3,X5) != X3
| ~ rline(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ ron(X3,X1)
| ~ ron(X5,X1) ),
inference(equality_resolution,[],[f1334]) ).
fof(f1334,plain,
! [X3,X1,X4,X5] :
( sK44(X1,X3,X4) != X3
| ~ rline(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| X4 != X5
| ~ ron(X3,X1)
| ~ ron(X4,X1) ),
inference(equality_resolution,[],[f1333]) ).
fof(f1333,plain,
! [X2,X3,X1,X4,X5] :
( sK44(X1,X2,X4) != X2
| ~ rline(X1)
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ ron(X2,X1)
| ~ ron(X4,X1) ),
inference(equality_resolution,[],[f805]) ).
fof(f805,plain,
! [X2,X3,X0,X1,X4,X5] :
( sK44(X0,X2,X4) != X2
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ ron(X2,X0)
| ~ ron(X4,X0) ),
inference(cnf_transformation,[],[f574]) ).
fof(f2567,plain,
spl57_151,
inference(avatar_split_clause,[],[f1332,f2565]) ).
fof(f1332,plain,
! [X3,X1,X5] :
( ron(sK44(X1,X3,X5),X1)
| ~ rline(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ ron(X3,X1)
| ~ ron(X5,X1) ),
inference(equality_resolution,[],[f1331]) ).
fof(f1331,plain,
! [X3,X1,X4,X5] :
( ron(sK44(X1,X3,X4),X1)
| ~ rline(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| X4 != X5
| ~ ron(X3,X1)
| ~ ron(X4,X1) ),
inference(equality_resolution,[],[f1330]) ).
fof(f1330,plain,
! [X2,X3,X1,X4,X5] :
( ron(sK44(X1,X2,X4),X1)
| ~ rline(X1)
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ ron(X2,X1)
| ~ ron(X4,X1) ),
inference(equality_resolution,[],[f806]) ).
fof(f806,plain,
! [X2,X3,X0,X1,X4,X5] :
( ron(sK44(X0,X2,X4),X0)
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ ron(X2,X0)
| ~ ron(X4,X0) ),
inference(cnf_transformation,[],[f574]) ).
fof(f2563,plain,
spl57_150,
inference(avatar_split_clause,[],[f1292,f2561]) ).
fof(f1292,plain,
! [X3,X1,X5] :
( rpoint(sK42(X1,X3,X5))
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X3,X1)
| ~ rpoint(X5)
| ~ rS(X5,X3,X1) ),
inference(equality_resolution,[],[f1291]) ).
fof(f1291,plain,
! [X2,X3,X1,X5] :
( rpoint(sK42(X1,X2,X5))
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X2,X1)
| ~ rpoint(X5)
| ~ rS(X5,X2,X1)
| X2 != X3 ),
inference(equality_resolution,[],[f1290]) ).
fof(f1290,plain,
! [X2,X3,X1,X4,X5] :
( rpoint(sK42(X1,X2,X4))
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X2,X1)
| ~ rpoint(X5)
| ~ rS(X4,X2,X1)
| X4 != X5
| X2 != X3 ),
inference(equality_resolution,[],[f795]) ).
fof(f795,plain,
! [X2,X3,X0,X1,X4,X5] :
( rpoint(sK42(X0,X2,X4))
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X3)
| ron(X2,X0)
| ~ rpoint(X5)
| ~ rS(X4,X2,X0)
| X4 != X5
| X2 != X3 ),
inference(cnf_transformation,[],[f568]) ).
fof(f2559,plain,
spl57_149,
inference(avatar_split_clause,[],[f1118,f2557]) ).
fof(f2557,plain,
( spl57_149
<=> ! [X6,X5,X1] :
( sK36(X1,X5,X6) != X6
| ~ rcircle(X1)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ ron(X5,X1)
| ~ ron(X6,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_149])]) ).
fof(f1118,plain,
! [X1,X6,X5] :
( sK36(X1,X5,X6) != X6
| ~ rcircle(X1)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ ron(X5,X1)
| ~ ron(X6,X1) ),
inference(equality_resolution,[],[f1117]) ).
fof(f1117,plain,
! [X3,X1,X6,X5] :
( sK36(X1,X5,X3) != X3
| ~ rcircle(X1)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X3 != X6
| ~ ron(X5,X1)
| ~ ron(X3,X1) ),
inference(equality_resolution,[],[f1116]) ).
fof(f1116,plain,
! [X2,X3,X1,X6,X5] :
( sK36(X1,X2,X3) != X3
| ~ rcircle(X1)
| ~ rpoint(X5)
| X2 != X5
| ~ rpoint(X6)
| X3 != X6
| ~ ron(X2,X1)
| ~ ron(X3,X1) ),
inference(equality_resolution,[],[f742]) ).
fof(f742,plain,
! [X2,X3,X0,X1,X6,X5] :
( sK36(X0,X2,X3) != X3
| ~ rcircle(X1)
| X0 != X1
| ~ rpoint(X5)
| X2 != X5
| ~ rpoint(X6)
| X3 != X6
| ~ ron(X2,X0)
| ~ ron(X3,X0) ),
inference(cnf_transformation,[],[f547]) ).
fof(f547,plain,
! [X0,X1,X2,X3] :
( ( rpoint(sK36(X0,X2,X3))
& ron(sK36(X0,X2,X3),X0)
& sK36(X0,X2,X3) != X2
& sK36(X0,X2,X3) != X3 )
| ~ rcircle(X1)
| X0 != X1
| ! [X5] :
( ~ rpoint(X5)
| X2 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X3 != X6 )
| ~ ron(X2,X0)
| ~ ron(X3,X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK36])],[f545,f546]) ).
fof(f546,plain,
! [X0,X2,X3] :
( ? [X4] :
( rpoint(X4)
& ron(X4,X0)
& X2 != X4
& X3 != X4 )
=> ( rpoint(sK36(X0,X2,X3))
& ron(sK36(X0,X2,X3),X0)
& sK36(X0,X2,X3) != X2
& sK36(X0,X2,X3) != X3 ) ),
introduced(choice_axiom,[]) ).
fof(f545,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( rpoint(X4)
& ron(X4,X0)
& X2 != X4
& X3 != X4 )
| ~ rcircle(X1)
| X0 != X1
| ! [X5] :
( ~ rpoint(X5)
| X2 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X3 != X6 )
| ~ ron(X2,X0)
| ~ ron(X3,X0) ),
inference(rectify,[],[f350]) ).
fof(f350,plain,
! [X0,X1,X2,X3] :
( ? [X6] :
( rpoint(X6)
& ron(X6,X0)
& X2 != X6
& X3 != X6 )
| ~ rcircle(X1)
| X0 != X1
| ! [X4] :
( ~ rpoint(X4)
| X2 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X3 != X5 )
| ~ ron(X2,X0)
| ~ ron(X3,X0) ),
inference(flattening,[],[f349]) ).
fof(f349,plain,
! [X0,X1,X2,X3] :
( ? [X6] :
( rpoint(X6)
& ron(X6,X0)
& X2 != X6
& X3 != X6 )
| ~ rcircle(X1)
| X0 != X1
| ! [X4] :
( ~ rpoint(X4)
| X2 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X3 != X5 )
| ~ ron(X2,X0)
| ~ ron(X3,X0) ),
inference(ennf_transformation,[],[f182]) ).
fof(f182,plain,
! [X0,X1,X2,X3] :
( ( rcircle(X1)
& X0 = X1
& ? [X4] :
( rpoint(X4)
& X2 = X4 )
& ? [X5] :
( rpoint(X5)
& X3 = X5 )
& ron(X2,X0)
& ron(X3,X0) )
=> ? [X6] :
( rpoint(X6)
& ron(X6,X0)
& X2 != X6
& X3 != X6 ) ),
inference(rectify,[],[f41]) ).
fof(f41,axiom,
! [X145,X146,X147,X148] :
( ( rcircle(X146)
& X145 = X146
& ? [X150] :
( rpoint(X150)
& X147 = X150 )
& ? [X149] :
( rpoint(X149)
& X148 = X149 )
& ron(X147,X145)
& ron(X148,X145) )
=> ? [X151] :
( rpoint(X151)
& ron(X151,X145)
& X147 != X151
& X148 != X151 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(45), 0), imp(cond(axiom(45), 0)))') ).
fof(f2555,plain,
( spl57_148
| ~ spl57_7
| ~ spl57_120 ),
inference(avatar_split_clause,[],[f2470,f2265,f1667,f2552]) ).
fof(f2552,plain,
( spl57_148
<=> vd684 = vg(vd1409,vd1409,vd1409) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_148])]) ).
fof(f2470,plain,
( vd684 = vg(vd1409,vd1409,vd1409)
| ~ spl57_7
| ~ spl57_120 ),
inference(resolution,[],[f2266,f1669]) ).
fof(f2550,plain,
spl57_147,
inference(avatar_split_clause,[],[f1115,f2548]) ).
fof(f2548,plain,
( spl57_147
<=> ! [X6,X5,X1] :
( sK36(X1,X5,X6) != X5
| ~ rcircle(X1)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ ron(X5,X1)
| ~ ron(X6,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_147])]) ).
fof(f1115,plain,
! [X1,X6,X5] :
( sK36(X1,X5,X6) != X5
| ~ rcircle(X1)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ ron(X5,X1)
| ~ ron(X6,X1) ),
inference(equality_resolution,[],[f1114]) ).
fof(f1114,plain,
! [X3,X1,X6,X5] :
( sK36(X1,X5,X3) != X5
| ~ rcircle(X1)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X3 != X6
| ~ ron(X5,X1)
| ~ ron(X3,X1) ),
inference(equality_resolution,[],[f1113]) ).
fof(f1113,plain,
! [X2,X3,X1,X6,X5] :
( sK36(X1,X2,X3) != X2
| ~ rcircle(X1)
| ~ rpoint(X5)
| X2 != X5
| ~ rpoint(X6)
| X3 != X6
| ~ ron(X2,X1)
| ~ ron(X3,X1) ),
inference(equality_resolution,[],[f743]) ).
fof(f743,plain,
! [X2,X3,X0,X1,X6,X5] :
( sK36(X0,X2,X3) != X2
| ~ rcircle(X1)
| X0 != X1
| ~ rpoint(X5)
| X2 != X5
| ~ rpoint(X6)
| X3 != X6
| ~ ron(X2,X0)
| ~ ron(X3,X0) ),
inference(cnf_transformation,[],[f547]) ).
fof(f2546,plain,
spl57_146,
inference(avatar_split_clause,[],[f1112,f2544]) ).
fof(f2544,plain,
( spl57_146
<=> ! [X6,X5,X1] :
( ron(sK36(X1,X5,X6),X1)
| ~ rcircle(X1)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ ron(X5,X1)
| ~ ron(X6,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_146])]) ).
fof(f1112,plain,
! [X1,X6,X5] :
( ron(sK36(X1,X5,X6),X1)
| ~ rcircle(X1)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ ron(X5,X1)
| ~ ron(X6,X1) ),
inference(equality_resolution,[],[f1111]) ).
fof(f1111,plain,
! [X3,X1,X6,X5] :
( ron(sK36(X1,X5,X3),X1)
| ~ rcircle(X1)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X3 != X6
| ~ ron(X5,X1)
| ~ ron(X3,X1) ),
inference(equality_resolution,[],[f1110]) ).
fof(f1110,plain,
! [X2,X3,X1,X6,X5] :
( ron(sK36(X1,X2,X3),X1)
| ~ rcircle(X1)
| ~ rpoint(X5)
| X2 != X5
| ~ rpoint(X6)
| X3 != X6
| ~ ron(X2,X1)
| ~ ron(X3,X1) ),
inference(equality_resolution,[],[f744]) ).
fof(f744,plain,
! [X2,X3,X0,X1,X6,X5] :
( ron(sK36(X0,X2,X3),X0)
| ~ rcircle(X1)
| X0 != X1
| ~ rpoint(X5)
| X2 != X5
| ~ rpoint(X6)
| X3 != X6
| ~ ron(X2,X0)
| ~ ron(X3,X0) ),
inference(cnf_transformation,[],[f547]) ).
fof(f2542,plain,
spl57_145,
inference(avatar_split_clause,[],[f1047,f2540]) ).
fof(f1047,plain,
! [X3,X1] :
( vf(X1,X3) = vf(X3,vskolem1052(X1,X1,X3,X3))
| ~ rpoint(X1)
| ~ rpoint(X3)
| X1 = X3 ),
inference(equality_resolution,[],[f1046]) ).
fof(f1046,plain,
! [X2,X3,X1] :
( vf(X1,X2) = vf(X2,vskolem1052(X1,X1,X2,X3))
| ~ rpoint(X1)
| ~ rpoint(X3)
| X1 = X2
| X2 != X3 ),
inference(equality_resolution,[],[f705]) ).
fof(f705,plain,
! [X2,X3,X0,X1] :
( vf(X0,X2) = vf(X2,vskolem1052(X0,X1,X2,X3))
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X0 = X2
| X2 != X3 ),
inference(cnf_transformation,[],[f318]) ).
fof(f318,plain,
! [X0,X1,X2,X3] :
( vf(X0,X2) = vf(X2,vskolem1052(X0,X1,X2,X3))
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X0 = X2
| X2 != X3 ),
inference(flattening,[],[f317]) ).
fof(f317,plain,
! [X0,X1,X2,X3] :
( vf(X0,X2) = vf(X2,vskolem1052(X0,X1,X2,X3))
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X0 = X2
| X2 != X3 ),
inference(ennf_transformation,[],[f166]) ).
fof(f166,plain,
! [X0,X1,X2,X3] :
( ( rpoint(X1)
& X0 = X1
& rpoint(X3)
& X0 != X2
& X2 = X3 )
=> vf(X0,X2) = vf(X2,vskolem1052(X0,X1,X2,X3)) ),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X55,X56,X57,X58] :
( ( rpoint(X56)
& X55 = X56
& rpoint(X58)
& X55 != X57
& X57 = X58 )
=> vf(X57,vskolem1052(X55,X56,X57,X58)) = vf(X55,X57) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(206), 0), 1)') ).
fof(f2522,plain,
spl57_144,
inference(avatar_split_clause,[],[f1329,f2520]) ).
fof(f1329,plain,
! [X3,X1,X5] :
( rpoint(sK44(X1,X3,X5))
| ~ rline(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ ron(X3,X1)
| ~ ron(X5,X1) ),
inference(equality_resolution,[],[f1328]) ).
fof(f1328,plain,
! [X3,X1,X4,X5] :
( rpoint(sK44(X1,X3,X4))
| ~ rline(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| X4 != X5
| ~ ron(X3,X1)
| ~ ron(X4,X1) ),
inference(equality_resolution,[],[f1327]) ).
fof(f1327,plain,
! [X2,X3,X1,X4,X5] :
( rpoint(sK44(X1,X2,X4))
| ~ rline(X1)
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ ron(X2,X1)
| ~ ron(X4,X1) ),
inference(equality_resolution,[],[f807]) ).
fof(f807,plain,
! [X2,X3,X0,X1,X4,X5] :
( rpoint(sK44(X0,X2,X4))
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ ron(X2,X0)
| ~ ron(X4,X0) ),
inference(cnf_transformation,[],[f574]) ).
fof(f2518,plain,
spl57_143,
inference(avatar_split_clause,[],[f1109,f2516]) ).
fof(f2516,plain,
( spl57_143
<=> ! [X6,X5,X1] :
( rpoint(sK36(X1,X5,X6))
| ~ rcircle(X1)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ ron(X5,X1)
| ~ ron(X6,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_143])]) ).
fof(f1109,plain,
! [X1,X6,X5] :
( rpoint(sK36(X1,X5,X6))
| ~ rcircle(X1)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ ron(X5,X1)
| ~ ron(X6,X1) ),
inference(equality_resolution,[],[f1108]) ).
fof(f1108,plain,
! [X3,X1,X6,X5] :
( rpoint(sK36(X1,X5,X3))
| ~ rcircle(X1)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X3 != X6
| ~ ron(X5,X1)
| ~ ron(X3,X1) ),
inference(equality_resolution,[],[f1107]) ).
fof(f1107,plain,
! [X2,X3,X1,X6,X5] :
( rpoint(sK36(X1,X2,X3))
| ~ rcircle(X1)
| ~ rpoint(X5)
| X2 != X5
| ~ rpoint(X6)
| X3 != X6
| ~ ron(X2,X1)
| ~ ron(X3,X1) ),
inference(equality_resolution,[],[f745]) ).
fof(f745,plain,
! [X2,X3,X0,X1,X6,X5] :
( rpoint(sK36(X0,X2,X3))
| ~ rcircle(X1)
| X0 != X1
| ~ rpoint(X5)
| X2 != X5
| ~ rpoint(X6)
| X3 != X6
| ~ ron(X2,X0)
| ~ ron(X3,X0) ),
inference(cnf_transformation,[],[f547]) ).
fof(f2500,plain,
spl57_142,
inference(avatar_split_clause,[],[f1361,f2498]) ).
fof(f2498,plain,
( spl57_142
<=> ! [X5,X1,X3] :
( X1 = X3
| ~ rreal(X1)
| ~ rreal(X3)
| ~ rreal(X5)
| vplus(X1,X5) != vplus(X3,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_142])]) ).
fof(f1361,plain,
! [X3,X1,X5] :
( X1 = X3
| ~ rreal(X1)
| ~ rreal(X3)
| ~ rreal(X5)
| vplus(X1,X5) != vplus(X3,X5) ),
inference(equality_resolution,[],[f1360]) ).
fof(f1360,plain,
! [X3,X1,X4,X5] :
( X1 = X3
| ~ rreal(X1)
| ~ rreal(X3)
| ~ rreal(X5)
| X4 != X5
| vplus(X1,X4) != vplus(X3,X4) ),
inference(equality_resolution,[],[f1359]) ).
fof(f1359,plain,
! [X2,X3,X1,X4,X5] :
( X1 = X2
| ~ rreal(X1)
| ~ rreal(X3)
| X2 != X3
| ~ rreal(X5)
| X4 != X5
| vplus(X2,X4) != vplus(X1,X4) ),
inference(equality_resolution,[],[f812]) ).
fof(f812,plain,
! [X2,X3,X0,X1,X4,X5] :
( X0 = X2
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3
| ~ rreal(X5)
| X4 != X5
| vplus(X0,X4) != vplus(X2,X4) ),
inference(cnf_transformation,[],[f418]) ).
fof(f418,plain,
! [X0,X1,X2,X3,X4,X5] :
( X0 = X2
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3
| ~ rreal(X5)
| X4 != X5
| vplus(X0,X4) != vplus(X2,X4) ),
inference(flattening,[],[f417]) ).
fof(f417,plain,
! [X0,X1,X2,X3,X4,X5] :
( X0 = X2
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3
| ~ rreal(X5)
| X4 != X5
| vplus(X0,X4) != vplus(X2,X4) ),
inference(ennf_transformation,[],[f218]) ).
fof(f218,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( rreal(X1)
& X0 = X1
& rreal(X3)
& X2 = X3
& rreal(X5)
& X4 = X5
& vplus(X0,X4) = vplus(X2,X4) )
=> X0 = X2 ),
inference(rectify,[],[f55]) ).
fof(f55,axiom,
! [X273,X274,X275,X276,X277,X278] :
( ( rreal(X274)
& X273 = X274
& rreal(X276)
& X275 = X276
& rreal(X278)
& X277 = X278
& vplus(X273,X277) = vplus(X275,X277) )
=> X273 = X275 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(156, 0), 0)') ).
fof(f2469,plain,
spl57_141,
inference(avatar_split_clause,[],[f1316,f2467]) ).
fof(f1316,plain,
! [X3,X1,X5] :
( rless(vplus(X1,X5),vplus(X3,X5))
| ~ rreal(X1)
| ~ rreal(X3)
| ~ rreal(X5)
| ~ rless(X1,X3) ),
inference(equality_resolution,[],[f1315]) ).
fof(f1315,plain,
! [X3,X1,X4,X5] :
( rless(vplus(X1,X4),vplus(X3,X4))
| ~ rreal(X1)
| ~ rreal(X3)
| ~ rreal(X5)
| X4 != X5
| ~ rless(X1,X3) ),
inference(equality_resolution,[],[f1314]) ).
fof(f1314,plain,
! [X2,X3,X1,X4,X5] :
( rless(vplus(X1,X4),vplus(X2,X4))
| ~ rreal(X1)
| ~ rreal(X3)
| X2 != X3
| ~ rreal(X5)
| X4 != X5
| ~ rless(X1,X2) ),
inference(equality_resolution,[],[f799]) ).
fof(f799,plain,
! [X2,X3,X0,X1,X4,X5] :
( rless(vplus(X0,X4),vplus(X2,X4))
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3
| ~ rreal(X5)
| X4 != X5
| ~ rless(X0,X2) ),
inference(cnf_transformation,[],[f406]) ).
fof(f406,plain,
! [X0,X1,X2,X3,X4,X5] :
( rless(vplus(X0,X4),vplus(X2,X4))
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3
| ~ rreal(X5)
| X4 != X5
| ~ rless(X0,X2) ),
inference(flattening,[],[f405]) ).
fof(f405,plain,
! [X0,X1,X2,X3,X4,X5] :
( rless(vplus(X0,X4),vplus(X2,X4))
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3
| ~ rreal(X5)
| X4 != X5
| ~ rless(X0,X2) ),
inference(ennf_transformation,[],[f212]) ).
fof(f212,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( rreal(X1)
& X0 = X1
& rreal(X3)
& X2 = X3
& rreal(X5)
& X4 = X5
& rless(X0,X2) )
=> rless(vplus(X0,X4),vplus(X2,X4)) ),
inference(rectify,[],[f65]) ).
fof(f65,axiom,
! [X318,X319,X320,X321,X322,X323] :
( ( rreal(X319)
& X318 = X319
& rreal(X321)
& X320 = X321
& rreal(X323)
& X322 = X323
& rless(X318,X320) )
=> rless(vplus(X318,X322),vplus(X320,X322)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(153), 0), imp(cond(axiom(153), 0)))') ).
fof(f2378,plain,
spl57_140,
inference(avatar_split_clause,[],[f1326,f2376]) ).
fof(f1326,plain,
! [X3,X1,X5] :
( rintersect(X5,X3)
| ~ rpoint(X1)
| ~ rcircle(X3)
| ~ rline(X5)
| ~ rinside(X1,X3)
| ~ ron(X1,X5) ),
inference(equality_resolution,[],[f1325]) ).
fof(f1325,plain,
! [X3,X1,X4,X5] :
( rintersect(X4,X3)
| ~ rpoint(X1)
| ~ rcircle(X3)
| ~ rline(X5)
| X4 != X5
| ~ rinside(X1,X3)
| ~ ron(X1,X4) ),
inference(equality_resolution,[],[f1324]) ).
fof(f1324,plain,
! [X2,X3,X1,X4,X5] :
( rintersect(X4,X2)
| ~ rpoint(X1)
| ~ rcircle(X3)
| X2 != X3
| ~ rline(X5)
| X4 != X5
| ~ rinside(X1,X2)
| ~ ron(X1,X4) ),
inference(equality_resolution,[],[f803]) ).
fof(f803,plain,
! [X2,X3,X0,X1,X4,X5] :
( rintersect(X4,X2)
| ~ rpoint(X1)
| X0 != X1
| ~ rcircle(X3)
| X2 != X3
| ~ rline(X5)
| X4 != X5
| ~ rinside(X0,X2)
| ~ ron(X0,X4) ),
inference(cnf_transformation,[],[f412]) ).
fof(f412,plain,
! [X0,X1,X2,X3,X4,X5] :
( rintersect(X4,X2)
| ~ rpoint(X1)
| X0 != X1
| ~ rcircle(X3)
| X2 != X3
| ~ rline(X5)
| X4 != X5
| ~ rinside(X0,X2)
| ~ ron(X0,X4) ),
inference(flattening,[],[f411]) ).
fof(f411,plain,
! [X0,X1,X2,X3,X4,X5] :
( rintersect(X4,X2)
| ~ rpoint(X1)
| X0 != X1
| ~ rcircle(X3)
| X2 != X3
| ~ rline(X5)
| X4 != X5
| ~ rinside(X0,X2)
| ~ ron(X0,X4) ),
inference(ennf_transformation,[],[f215]) ).
fof(f215,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( rpoint(X1)
& X0 = X1
& rcircle(X3)
& X2 = X3
& rline(X5)
& X4 = X5
& rinside(X0,X2)
& ron(X0,X4) )
=> rintersect(X4,X2) ),
inference(rectify,[],[f69]) ).
fof(f69,axiom,
! [X339,X340,X341,X342,X343,X344] :
( ( rpoint(X340)
& X339 = X340
& rcircle(X342)
& X341 = X342
& rline(X344)
& X343 = X344
& rinside(X339,X341)
& ron(X339,X343) )
=> rintersect(X343,X341) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(131), 0), imp(cond(axiom(131), 0)))') ).
fof(f2374,plain,
spl57_139,
inference(avatar_split_clause,[],[f1319,f2372]) ).
fof(f1319,plain,
! [X3,X1,X5] :
( rless(X1,X5)
| ~ rreal(X1)
| ~ rreal(X3)
| ~ rreal(X5)
| ~ rless(X1,X3)
| ~ rless(X3,X5) ),
inference(equality_resolution,[],[f1318]) ).
fof(f1318,plain,
! [X3,X1,X4,X5] :
( rless(X1,X4)
| ~ rreal(X1)
| ~ rreal(X3)
| ~ rreal(X5)
| X4 != X5
| ~ rless(X1,X3)
| ~ rless(X3,X4) ),
inference(equality_resolution,[],[f1317]) ).
fof(f1317,plain,
! [X2,X3,X1,X4,X5] :
( rless(X1,X4)
| ~ rreal(X1)
| ~ rreal(X3)
| X2 != X3
| ~ rreal(X5)
| X4 != X5
| ~ rless(X1,X2)
| ~ rless(X2,X4) ),
inference(equality_resolution,[],[f800]) ).
fof(f800,plain,
! [X2,X3,X0,X1,X4,X5] :
( rless(X0,X4)
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3
| ~ rreal(X5)
| X4 != X5
| ~ rless(X0,X2)
| ~ rless(X2,X4) ),
inference(cnf_transformation,[],[f408]) ).
fof(f408,plain,
! [X0,X1,X2,X3,X4,X5] :
( rless(X0,X4)
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3
| ~ rreal(X5)
| X4 != X5
| ~ rless(X0,X2)
| ~ rless(X2,X4) ),
inference(flattening,[],[f407]) ).
fof(f407,plain,
! [X0,X1,X2,X3,X4,X5] :
( rless(X0,X4)
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3
| ~ rreal(X5)
| X4 != X5
| ~ rless(X0,X2)
| ~ rless(X2,X4) ),
inference(ennf_transformation,[],[f213]) ).
fof(f213,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( rreal(X1)
& X0 = X1
& rreal(X3)
& X2 = X3
& rreal(X5)
& X4 = X5
& rless(X0,X2)
& rless(X2,X4) )
=> rless(X0,X4) ),
inference(rectify,[],[f66]) ).
fof(f66,axiom,
! [X324,X325,X326,X327,X328,X329] :
( ( rreal(X325)
& X324 = X325
& rreal(X327)
& X326 = X327
& rreal(X329)
& X328 = X329
& rless(X324,X326)
& rless(X326,X328) )
=> rless(X324,X328) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(151), 0), imp(cond(axiom(151), 0)))') ).
fof(f2370,plain,
spl57_138,
inference(avatar_split_clause,[],[f1013,f2368]) ).
fof(f1013,plain,
! [X6,X4,X5] :
( sK23(X4,X5,X6) = vg(X4,X5,X6)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6) ),
inference(equality_resolution,[],[f1012]) ).
fof(f1012,plain,
! [X2,X6,X4,X5] :
( sK23(X4,X5,X2) = vg(X4,X5,X2)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X2 != X6 ),
inference(equality_resolution,[],[f1011]) ).
fof(f1011,plain,
! [X2,X1,X6,X4,X5] :
( sK23(X4,X1,X2) = vg(X4,X1,X2)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X1 != X5
| ~ rpoint(X6)
| X2 != X6 ),
inference(equality_resolution,[],[f691]) ).
fof(f691,plain,
! [X2,X0,X1,X6,X4,X5] :
( vg(X0,X1,X2) = sK23(X0,X1,X2)
| ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X5)
| X1 != X5
| ~ rpoint(X6)
| X2 != X6 ),
inference(cnf_transformation,[],[f517]) ).
fof(f517,plain,
! [X0,X1,X2] :
( ( rreal(sK23(X0,X1,X2))
& vg(X0,X1,X2) = sK23(X0,X1,X2) )
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X2 != X6 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23])],[f515,f516]) ).
fof(f516,plain,
! [X0,X1,X2] :
( ? [X3] :
( rreal(X3)
& vg(X0,X1,X2) = X3 )
=> ( rreal(sK23(X0,X1,X2))
& vg(X0,X1,X2) = sK23(X0,X1,X2) ) ),
introduced(choice_axiom,[]) ).
fof(f515,plain,
! [X0,X1,X2] :
( ? [X3] :
( rreal(X3)
& vg(X0,X1,X2) = X3 )
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X2 != X6 ) ),
inference(rectify,[],[f300]) ).
fof(f300,plain,
! [X0,X1,X2] :
( ? [X6] :
( rreal(X6)
& vg(X0,X1,X2) = X6 )
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X2 != X5 ) ),
inference(flattening,[],[f299]) ).
fof(f299,plain,
! [X0,X1,X2] :
( ? [X6] :
( rreal(X6)
& vg(X0,X1,X2) = X6 )
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X2 != X5 ) ),
inference(ennf_transformation,[],[f157]) ).
fof(f157,plain,
! [X0,X1,X2] :
( ( ? [X3] :
( rpoint(X3)
& X0 = X3 )
& ? [X4] :
( rpoint(X4)
& X1 = X4 )
& ? [X5] :
( rpoint(X5)
& X2 = X5 ) )
=> ? [X6] :
( rreal(X6)
& vg(X0,X1,X2) = X6 ) ),
inference(rectify,[],[f120]) ).
fof(f120,axiom,
! [X720,X721,X722] :
( ( ? [X725] :
( rpoint(X725)
& X720 = X725 )
& ? [X724] :
( rpoint(X724)
& X721 = X724 )
& ? [X723] :
( rpoint(X723)
& X722 = X723 ) )
=> ? [X726] :
( rreal(X726)
& vg(X720,X721,X722) = X726 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(198), 0), imp(cond(axiom(198), 0)))') ).
fof(f2366,plain,
spl57_137,
inference(avatar_split_clause,[],[f995,f2364]) ).
fof(f995,plain,
! [X3,X4,X5] :
( vg(X3,X4,X5) = vg(X3,X5,X4)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f994]) ).
fof(f994,plain,
! [X2,X3,X4,X5] :
( vg(X3,X4,X2) = vg(X3,X2,X4)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X2 != X5 ),
inference(equality_resolution,[],[f993]) ).
fof(f993,plain,
! [X2,X3,X1,X4,X5] :
( vg(X3,X2,X1) = vg(X3,X1,X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X5)
| X2 != X5 ),
inference(equality_resolution,[],[f685]) ).
fof(f685,plain,
! [X2,X3,X0,X1,X4,X5] :
( vg(X0,X1,X2) = vg(X0,X2,X1)
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X5)
| X2 != X5 ),
inference(cnf_transformation,[],[f296]) ).
fof(f296,plain,
! [X0,X1,X2] :
( ( vg(X0,X1,X2) = vg(X2,X0,X1)
& vg(X0,X1,X2) = vg(X0,X2,X1) )
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X2 != X5 ) ),
inference(flattening,[],[f295]) ).
fof(f295,plain,
! [X0,X1,X2] :
( ( vg(X0,X1,X2) = vg(X2,X0,X1)
& vg(X0,X1,X2) = vg(X0,X2,X1) )
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X2 != X5 ) ),
inference(ennf_transformation,[],[f155]) ).
fof(f155,plain,
! [X0,X1,X2] :
( ( ? [X3] :
( rpoint(X3)
& X0 = X3 )
& ? [X4] :
( rpoint(X4)
& X1 = X4 )
& ? [X5] :
( rpoint(X5)
& X2 = X5 ) )
=> ( vg(X0,X1,X2) = vg(X2,X0,X1)
& vg(X0,X1,X2) = vg(X0,X2,X1) ) ),
inference(rectify,[],[f123]) ).
fof(f123,axiom,
! [X755,X756,X757] :
( ( ? [X760] :
( rpoint(X760)
& X755 = X760 )
& ? [X759] :
( rpoint(X759)
& X756 = X759 )
& ? [X758] :
( rpoint(X758)
& X757 = X758 ) )
=> ( vg(X755,X756,X757) = vg(X757,X755,X756)
& vg(X755,X756,X757) = vg(X755,X757,X756) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(176), 0), imp(cond(axiom(176), 0)))') ).
fof(f2362,plain,
( spl57_136
| ~ spl57_9
| ~ spl57_70 ),
inference(avatar_split_clause,[],[f1980,f1960,f1677,f2360]) ).
fof(f1980,plain,
( ! [X0] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK8) )
| ~ spl57_9
| ~ spl57_70 ),
inference(resolution,[],[f1961,f1679]) ).
fof(f2358,plain,
spl57_135,
inference(avatar_split_clause,[],[f992,f2356]) ).
fof(f992,plain,
! [X3,X4,X5] :
( vg(X3,X4,X5) = vg(X5,X3,X4)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f991]) ).
fof(f991,plain,
! [X2,X3,X4,X5] :
( vg(X3,X4,X2) = vg(X2,X3,X4)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X2 != X5 ),
inference(equality_resolution,[],[f990]) ).
fof(f990,plain,
! [X2,X3,X1,X4,X5] :
( vg(X3,X1,X2) = vg(X2,X3,X1)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X5)
| X2 != X5 ),
inference(equality_resolution,[],[f686]) ).
fof(f686,plain,
! [X2,X3,X0,X1,X4,X5] :
( vg(X0,X1,X2) = vg(X2,X0,X1)
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X5)
| X2 != X5 ),
inference(cnf_transformation,[],[f296]) ).
fof(f2348,plain,
spl57_134,
inference(avatar_split_clause,[],[f1136,f2346]) ).
fof(f1136,plain,
! [X3,X4,X5] :
( rS(X5,X4,X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rline(X3)
| ~ rS(X4,X5,X3) ),
inference(equality_resolution,[],[f1135]) ).
fof(f1135,plain,
! [X2,X3,X4,X5] :
( rS(X5,X4,X2)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rline(X3)
| X2 != X3
| ~ rS(X4,X5,X2) ),
inference(equality_resolution,[],[f1134]) ).
fof(f1134,plain,
! [X2,X3,X1,X4,X5] :
( rS(X1,X4,X2)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X1 != X5
| ~ rline(X3)
| X2 != X3
| ~ rS(X4,X1,X2) ),
inference(equality_resolution,[],[f750]) ).
fof(f750,plain,
! [X2,X3,X0,X1,X4,X5] :
( rS(X1,X0,X2)
| ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X5)
| X1 != X5
| ~ rline(X3)
| X2 != X3
| ~ rS(X0,X1,X2) ),
inference(cnf_transformation,[],[f360]) ).
fof(f360,plain,
! [X0,X1,X2,X3] :
( rS(X1,X0,X2)
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| ~ rline(X3)
| X2 != X3
| ~ rS(X0,X1,X2) ),
inference(flattening,[],[f359]) ).
fof(f359,plain,
! [X0,X1,X2,X3] :
( rS(X1,X0,X2)
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| ~ rline(X3)
| X2 != X3
| ~ rS(X0,X1,X2) ),
inference(ennf_transformation,[],[f187]) ).
fof(f187,plain,
! [X0,X1,X2,X3] :
( ( ? [X4] :
( rpoint(X4)
& X0 = X4 )
& ? [X5] :
( rpoint(X5)
& X1 = X5 )
& rline(X3)
& X2 = X3
& rS(X0,X1,X2) )
=> rS(X1,X0,X2) ),
inference(rectify,[],[f37]) ).
fof(f37,axiom,
! [X117,X118,X119,X120] :
( ( ? [X122] :
( rpoint(X122)
& X117 = X122 )
& ? [X121] :
( rpoint(X121)
& X118 = X121 )
& rline(X120)
& X119 = X120
& rS(X117,X118,X119) )
=> rS(X118,X117,X119) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(97), 0), imp(cond(axiom(97), 0)))') ).
fof(f2344,plain,
spl57_133,
inference(avatar_split_clause,[],[f976,f2342]) ).
fof(f2342,plain,
( spl57_133
<=> ! [X4,X5,X3] :
( ~ rR(X3,X4,X5)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rR(X4,X3,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_133])]) ).
fof(f976,plain,
! [X3,X4,X5] :
( ~ rR(X3,X4,X5)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rR(X4,X3,X5) ),
inference(equality_resolution,[],[f975]) ).
fof(f975,plain,
! [X2,X3,X4,X5] :
( ~ rR(X3,X4,X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X2 != X5
| ~ rR(X4,X3,X2) ),
inference(equality_resolution,[],[f974]) ).
fof(f974,plain,
! [X2,X3,X1,X4,X5] :
( ~ rR(X3,X1,X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X5)
| X2 != X5
| ~ rR(X1,X3,X2) ),
inference(equality_resolution,[],[f678]) ).
fof(f678,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ rR(X0,X1,X2)
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X5)
| X2 != X5
| ~ rR(X1,X0,X2) ),
inference(cnf_transformation,[],[f288]) ).
fof(f288,plain,
! [X0,X1,X2] :
( ( rR(X1,X2,X0)
& X0 != X1
& X0 != X2
& ~ rR(X0,X1,X2) )
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X2 != X5 )
| ~ rR(X1,X0,X2) ),
inference(flattening,[],[f287]) ).
fof(f287,plain,
! [X0,X1,X2] :
( ( rR(X1,X2,X0)
& X0 != X1
& X0 != X2
& ~ rR(X0,X1,X2) )
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X2 != X5 )
| ~ rR(X1,X0,X2) ),
inference(ennf_transformation,[],[f150]) ).
fof(f150,plain,
! [X0,X1,X2] :
( ( ? [X3] :
( rpoint(X3)
& X0 = X3 )
& ? [X4] :
( rpoint(X4)
& X1 = X4 )
& ? [X5] :
( rpoint(X5)
& X2 = X5 )
& rR(X1,X0,X2) )
=> ( rR(X1,X2,X0)
& X0 != X1
& X0 != X2
& ~ rR(X0,X1,X2) ) ),
inference(rectify,[],[f40]) ).
fof(f40,axiom,
! [X139,X140,X141] :
( ( ? [X144] :
( rpoint(X144)
& X139 = X144 )
& ? [X143] :
( rpoint(X143)
& X140 = X143 )
& ? [X142] :
( rpoint(X142)
& X141 = X142 )
& rR(X140,X139,X141) )
=> ( rR(X140,X141,X139)
& X139 != X140
& X139 != X141
& ~ rR(X139,X140,X141) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))') ).
fof(f2340,plain,
spl57_132,
inference(avatar_split_clause,[],[f965,f2338]) ).
fof(f2338,plain,
( spl57_132
<=> ! [X4,X5,X3] :
( rR(X4,X5,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rR(X4,X3,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_132])]) ).
fof(f965,plain,
! [X3,X4,X5] :
( rR(X4,X5,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rR(X4,X3,X5) ),
inference(equality_resolution,[],[f964]) ).
fof(f964,plain,
! [X2,X3,X4,X5] :
( rR(X4,X2,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X2 != X5
| ~ rR(X4,X3,X2) ),
inference(equality_resolution,[],[f963]) ).
fof(f963,plain,
! [X2,X3,X1,X4,X5] :
( rR(X1,X2,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X5)
| X2 != X5
| ~ rR(X1,X3,X2) ),
inference(equality_resolution,[],[f681]) ).
fof(f681,plain,
! [X2,X3,X0,X1,X4,X5] :
( rR(X1,X2,X0)
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X5)
| X2 != X5
| ~ rR(X1,X0,X2) ),
inference(cnf_transformation,[],[f288]) ).
fof(f2326,plain,
( spl57_131
| ~ spl57_10
| ~ spl57_70 ),
inference(avatar_split_clause,[],[f1979,f1960,f1682,f2324]) ).
fof(f1979,plain,
( ! [X0] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK7) )
| ~ spl57_10
| ~ spl57_70 ),
inference(resolution,[],[f1961,f1684]) ).
fof(f2314,plain,
spl57_130,
inference(avatar_split_clause,[],[f1156,f2312]) ).
fof(f2312,plain,
( spl57_130
<=> ! [X5,X4,X7,X6] :
( sP2(X4,X5,X6,X7)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_130])]) ).
fof(f1156,plain,
! [X6,X7,X4,X5] :
( sP2(X4,X5,X6,X7)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1155]) ).
fof(f1155,plain,
! [X3,X6,X7,X4,X5] :
( sP2(X4,X5,X6,X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X3 != X7 ),
inference(equality_resolution,[],[f1154]) ).
fof(f1154,plain,
! [X2,X3,X6,X7,X4,X5] :
( sP2(X4,X5,X2,X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X2 != X6
| ~ rpoint(X7)
| X3 != X7 ),
inference(equality_resolution,[],[f1153]) ).
fof(f1153,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( sP2(X4,X1,X2,X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X1 != X5
| ~ rpoint(X6)
| X2 != X6
| ~ rpoint(X7)
| X3 != X7 ),
inference(equality_resolution,[],[f760]) ).
fof(f760,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( sP2(X0,X1,X2,X3)
| ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X5)
| X1 != X5
| ~ rpoint(X6)
| X2 != X6
| ~ rpoint(X7)
| X3 != X7 ),
inference(cnf_transformation,[],[f468]) ).
fof(f468,plain,
! [X0,X1,X2,X3] :
( sP2(X0,X1,X2,X3)
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X2 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X3 != X7 ) ),
inference(definition_folding,[],[f364,f467]) ).
fof(f467,plain,
! [X0,X1,X2,X3] :
( ? [X8] :
( rpoint(X8)
& X0 != X8
& X1 != X8
& X2 != X8
& X3 != X8 )
| ~ sP2(X0,X1,X2,X3) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f364,plain,
! [X0,X1,X2,X3] :
( ? [X8] :
( rpoint(X8)
& X0 != X8
& X1 != X8
& X2 != X8
& X3 != X8 )
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X2 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X3 != X7 ) ),
inference(flattening,[],[f363]) ).
fof(f363,plain,
! [X0,X1,X2,X3] :
( ? [X8] :
( rpoint(X8)
& X0 != X8
& X1 != X8
& X2 != X8
& X3 != X8 )
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X2 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X3 != X7 ) ),
inference(ennf_transformation,[],[f190]) ).
fof(f190,plain,
! [X0,X1,X2,X3] :
( ( ? [X4] :
( rpoint(X4)
& X0 = X4 )
& ? [X5] :
( rpoint(X5)
& X1 = X5 )
& ? [X6] :
( rpoint(X6)
& X2 = X6 )
& ? [X7] :
( rpoint(X7)
& X3 = X7 ) )
=> ? [X8] :
( rpoint(X8)
& X0 != X8
& X1 != X8
& X2 != X8
& X3 != X8 ) ),
inference(rectify,[],[f110]) ).
fof(f110,axiom,
! [X660,X661,X662,X663] :
( ( ? [X667] :
( rpoint(X667)
& X660 = X667 )
& ? [X666] :
( rpoint(X666)
& X661 = X666 )
& ? [X665] :
( rpoint(X665)
& X662 = X665 )
& ? [X664] :
( rpoint(X664)
& X663 = X664 ) )
=> ? [X668] :
( rpoint(X668)
& X660 != X668
& X661 != X668
& X662 != X668
& X663 != X668 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(13), 0), imp(cond(axiom(13), 0)))') ).
fof(f2310,plain,
spl57_129,
inference(avatar_split_clause,[],[f1133,f2308]) ).
fof(f1133,plain,
! [X3,X4,X5] :
( ~ ron(X4,X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rline(X3)
| ~ rS(X4,X5,X3) ),
inference(equality_resolution,[],[f1132]) ).
fof(f1132,plain,
! [X2,X3,X4,X5] :
( ~ ron(X4,X2)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rline(X3)
| X2 != X3
| ~ rS(X4,X5,X2) ),
inference(equality_resolution,[],[f1131]) ).
fof(f1131,plain,
! [X2,X3,X1,X4,X5] :
( ~ ron(X4,X2)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X1 != X5
| ~ rline(X3)
| X2 != X3
| ~ rS(X4,X1,X2) ),
inference(equality_resolution,[],[f749]) ).
fof(f749,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ ron(X0,X2)
| ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X5)
| X1 != X5
| ~ rline(X3)
| X2 != X3
| ~ rS(X0,X1,X2) ),
inference(cnf_transformation,[],[f358]) ).
fof(f358,plain,
! [X0,X1,X2,X3] :
( ~ ron(X0,X2)
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| ~ rline(X3)
| X2 != X3
| ~ rS(X0,X1,X2) ),
inference(flattening,[],[f357]) ).
fof(f357,plain,
! [X0,X1,X2,X3] :
( ~ ron(X0,X2)
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| ~ rline(X3)
| X2 != X3
| ~ rS(X0,X1,X2) ),
inference(ennf_transformation,[],[f186]) ).
fof(f186,plain,
! [X0,X1,X2,X3] :
( ( ? [X4] :
( rpoint(X4)
& X0 = X4 )
& ? [X5] :
( rpoint(X5)
& X1 = X5 )
& rline(X3)
& X2 = X3
& rS(X0,X1,X2) )
=> ~ ron(X0,X2) ),
inference(rectify,[],[f36]) ).
fof(f36,axiom,
! [X111,X112,X113,X114] :
( ( ? [X116] :
( rpoint(X116)
& X111 = X116 )
& ? [X115] :
( rpoint(X115)
& X112 = X115 )
& rline(X114)
& X113 = X114
& rS(X111,X112,X113) )
=> ~ ron(X111,X113) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(99), 0), imp(cond(axiom(99), 0)))') ).
fof(f2306,plain,
spl57_128,
inference(avatar_split_clause,[],[f1062,f2304]) ).
fof(f1062,plain,
! [X3,X1] :
( X1 = X3
| ~ rless(X3,X1)
| ~ rreal(X1)
| ~ rreal(X3)
| ~ rless(X1,X3) ),
inference(equality_resolution,[],[f1061]) ).
fof(f1061,plain,
! [X2,X3,X1] :
( X1 = X2
| ~ rless(X2,X1)
| ~ rreal(X1)
| ~ rreal(X3)
| X2 != X3
| ~ rless(X1,X2) ),
inference(equality_resolution,[],[f713]) ).
fof(f713,plain,
! [X2,X3,X0,X1] :
( X0 = X2
| ~ rless(X2,X0)
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3
| ~ rless(X0,X2) ),
inference(cnf_transformation,[],[f328]) ).
fof(f328,plain,
! [X0,X1,X2,X3] :
( X0 = X2
| ~ rless(X2,X0)
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3
| ~ rless(X0,X2) ),
inference(flattening,[],[f327]) ).
fof(f327,plain,
! [X0,X1,X2,X3] :
( X0 = X2
| ~ rless(X2,X0)
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3
| ~ rless(X0,X2) ),
inference(ennf_transformation,[],[f171]) ).
fof(f171,plain,
! [X0,X1,X2,X3] :
( ( rreal(X1)
& X0 = X1
& rreal(X3)
& X2 = X3
& rless(X0,X2) )
=> ( X0 = X2
| ~ rless(X2,X0) ) ),
inference(rectify,[],[f45]) ).
fof(f45,axiom,
! [X201,X202,X203,X204] :
( ( rreal(X202)
& X201 = X202
& rreal(X204)
& X203 = X204
& rless(X201,X203) )
=> ( X201 = X203
| ~ rless(X203,X201) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(147), 0), imp(cond(axiom(147), 0)))') ).
fof(f2302,plain,
spl57_127,
inference(avatar_split_clause,[],[f1059,f2300]) ).
fof(f1059,plain,
! [X3,X1] :
( ~ rS(sK28(X1,X3),X3,X1)
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X3,X1) ),
inference(equality_resolution,[],[f1058]) ).
fof(f1058,plain,
! [X2,X3,X1] :
( ~ rS(sK28(X1,X2),X2,X1)
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X2,X1)
| X2 != X3 ),
inference(equality_resolution,[],[f710]) ).
fof(f710,plain,
! [X2,X3,X0,X1] :
( ~ rS(sK28(X0,X2),X2,X0)
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X3)
| ron(X2,X0)
| X2 != X3 ),
inference(cnf_transformation,[],[f529]) ).
fof(f529,plain,
! [X0,X1,X2,X3] :
( ( rpoint(sK28(X0,X2))
& ~ rS(sK28(X0,X2),X2,X0) )
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X3)
| ron(X2,X0)
| X2 != X3 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28])],[f324,f528]) ).
fof(f528,plain,
! [X0,X2] :
( ? [X4] :
( rpoint(X4)
& ~ rS(X4,X2,X0) )
=> ( rpoint(sK28(X0,X2))
& ~ rS(sK28(X0,X2),X2,X0) ) ),
introduced(choice_axiom,[]) ).
fof(f324,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( rpoint(X4)
& ~ rS(X4,X2,X0) )
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X3)
| ron(X2,X0)
| X2 != X3 ),
inference(flattening,[],[f323]) ).
fof(f323,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( rpoint(X4)
& ~ rS(X4,X2,X0) )
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X3)
| ron(X2,X0)
| X2 != X3 ),
inference(ennf_transformation,[],[f169]) ).
fof(f169,plain,
! [X0,X1,X2,X3] :
( ( rline(X1)
& X0 = X1
& rpoint(X3)
& ~ ron(X2,X0)
& X2 = X3 )
=> ? [X4] :
( rpoint(X4)
& ~ rS(X4,X2,X0) ) ),
inference(rectify,[],[f97]) ).
fof(f97,axiom,
! [X567,X568,X569,X570] :
( ( rline(X568)
& X567 = X568
& rpoint(X570)
& ~ ron(X569,X567)
& X569 = X570 )
=> ? [X571] :
( rpoint(X571)
& ~ rS(X571,X569,X567) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(39), 0), imp(cond(axiom(39), 0)))') ).
fof(f2298,plain,
spl57_126,
inference(avatar_split_clause,[],[f1053,f2296]) ).
fof(f1053,plain,
! [X3,X1] :
( rS(sK27(X1,X3),X3,X1)
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X3,X1) ),
inference(equality_resolution,[],[f1052]) ).
fof(f1052,plain,
! [X2,X3,X1] :
( rS(sK27(X1,X2),X2,X1)
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X2,X1)
| X2 != X3 ),
inference(equality_resolution,[],[f708]) ).
fof(f708,plain,
! [X2,X3,X0,X1] :
( rS(sK27(X0,X2),X2,X0)
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X3)
| ron(X2,X0)
| X2 != X3 ),
inference(cnf_transformation,[],[f527]) ).
fof(f527,plain,
! [X0,X1,X2,X3] :
( ( rpoint(sK27(X0,X2))
& rS(sK27(X0,X2),X2,X0)
& sK27(X0,X2) != X2 )
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X3)
| ron(X2,X0)
| X2 != X3 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27])],[f322,f526]) ).
fof(f526,plain,
! [X0,X2] :
( ? [X4] :
( rpoint(X4)
& rS(X4,X2,X0)
& X2 != X4 )
=> ( rpoint(sK27(X0,X2))
& rS(sK27(X0,X2),X2,X0)
& sK27(X0,X2) != X2 ) ),
introduced(choice_axiom,[]) ).
fof(f322,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( rpoint(X4)
& rS(X4,X2,X0)
& X2 != X4 )
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X3)
| ron(X2,X0)
| X2 != X3 ),
inference(flattening,[],[f321]) ).
fof(f321,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( rpoint(X4)
& rS(X4,X2,X0)
& X2 != X4 )
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X3)
| ron(X2,X0)
| X2 != X3 ),
inference(ennf_transformation,[],[f168]) ).
fof(f168,plain,
! [X0,X1,X2,X3] :
( ( rline(X1)
& X0 = X1
& rpoint(X3)
& ~ ron(X2,X0)
& X2 = X3 )
=> ? [X4] :
( rpoint(X4)
& rS(X4,X2,X0)
& X2 != X4 ) ),
inference(rectify,[],[f100]) ).
fof(f100,axiom,
! [X588,X589,X590,X591] :
( ( rline(X589)
& X588 = X589
& rpoint(X591)
& ~ ron(X590,X588)
& X590 = X591 )
=> ? [X592] :
( rpoint(X592)
& rS(X592,X590,X588)
& X590 != X592 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(33), 0), imp(cond(axiom(33), 0)))') ).
fof(f2294,plain,
( spl57_125
| ~ spl57_11
| ~ spl57_70 ),
inference(avatar_split_clause,[],[f1978,f1960,f1687,f2292]) ).
fof(f1978,plain,
( ! [X0] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK6) )
| ~ spl57_11
| ~ spl57_70 ),
inference(resolution,[],[f1961,f1689]) ).
fof(f2290,plain,
spl57_124,
inference(avatar_split_clause,[],[f1045,f2288]) ).
fof(f1045,plain,
! [X3,X1] :
( rpoint(vskolem1052(X1,X1,X3,X3))
| ~ rpoint(X1)
| ~ rpoint(X3)
| X1 = X3 ),
inference(equality_resolution,[],[f1044]) ).
fof(f1044,plain,
! [X2,X3,X1] :
( rpoint(vskolem1052(X1,X1,X2,X3))
| ~ rpoint(X1)
| ~ rpoint(X3)
| X1 = X2
| X2 != X3 ),
inference(equality_resolution,[],[f704]) ).
fof(f704,plain,
! [X2,X3,X0,X1] :
( rpoint(vskolem1052(X0,X1,X2,X3))
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X0 = X2
| X2 != X3 ),
inference(cnf_transformation,[],[f316]) ).
fof(f316,plain,
! [X0,X1,X2,X3] :
( rpoint(vskolem1052(X0,X1,X2,X3))
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X0 = X2
| X2 != X3 ),
inference(flattening,[],[f315]) ).
fof(f315,plain,
! [X0,X1,X2,X3] :
( rpoint(vskolem1052(X0,X1,X2,X3))
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X0 = X2
| X2 != X3 ),
inference(ennf_transformation,[],[f165]) ).
fof(f165,plain,
! [X0,X1,X2,X3] :
( ( rpoint(X1)
& X0 = X1
& rpoint(X3)
& X0 != X2
& X2 = X3 )
=> rpoint(vskolem1052(X0,X1,X2,X3)) ),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X55,X56,X57,X58] :
( ( rpoint(X56)
& X55 = X56
& rpoint(X58)
& X55 != X57
& X57 = X58 )
=> rpoint(vskolem1052(X55,X56,X57,X58)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(206), 0), 2)') ).
fof(f2286,plain,
spl57_123,
inference(avatar_split_clause,[],[f1039,f2284]) ).
fof(f1039,plain,
! [X3,X1] :
( rless(X3,X1)
| X1 = X3
| rless(X1,X3)
| ~ rreal(X1)
| ~ rreal(X3) ),
inference(equality_resolution,[],[f1038]) ).
fof(f1038,plain,
! [X2,X3,X1] :
( rless(X2,X1)
| X1 = X2
| rless(X1,X2)
| ~ rreal(X1)
| ~ rreal(X3)
| X2 != X3 ),
inference(equality_resolution,[],[f701]) ).
fof(f701,plain,
! [X2,X3,X0,X1] :
( rless(X2,X0)
| X0 = X2
| rless(X0,X2)
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3 ),
inference(cnf_transformation,[],[f312]) ).
fof(f312,plain,
! [X0,X1,X2,X3] :
( rless(X2,X0)
| X0 = X2
| rless(X0,X2)
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3 ),
inference(flattening,[],[f311]) ).
fof(f311,plain,
! [X0,X1,X2,X3] :
( rless(X2,X0)
| X0 = X2
| rless(X0,X2)
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3 ),
inference(ennf_transformation,[],[f163]) ).
fof(f163,plain,
! [X0,X1,X2,X3] :
( ( rreal(X1)
& X0 = X1
& rreal(X3)
& X2 = X3 )
=> ( rless(X2,X0)
| X0 = X2
| rless(X0,X2) ) ),
inference(rectify,[],[f67]) ).
fof(f67,axiom,
! [X330,X331,X332,X333] :
( ( rreal(X331)
& X330 = X331
& rreal(X333)
& X332 = X333 )
=> ( rless(X332,X330)
| X330 = X332
| rless(X330,X332) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(145), 0), imp(cond(axiom(145), 0)))') ).
fof(f2282,plain,
spl57_122,
inference(avatar_split_clause,[],[f849,f2280]) ).
fof(f849,plain,
! [X2,X3,X0,X1] :
( rS(sK52(X0,X1,X2,X3),X1,X0)
| ~ sP3(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f595]) ).
fof(f595,plain,
! [X0,X1,X2,X3] :
( ( rpoint(sK52(X0,X1,X2,X3))
& rS(sK52(X0,X1,X2,X3),X1,X0)
& sK52(X0,X1,X2,X3) != X1
& sK52(X0,X1,X2,X3) != X2
& sK52(X0,X1,X2,X3) != X3 )
| ~ sP3(X0,X1,X2,X3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK52])],[f593,f594]) ).
fof(f594,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( rpoint(X4)
& rS(X4,X1,X0)
& X1 != X4
& X2 != X4
& X3 != X4 )
=> ( rpoint(sK52(X0,X1,X2,X3))
& rS(sK52(X0,X1,X2,X3),X1,X0)
& sK52(X0,X1,X2,X3) != X1
& sK52(X0,X1,X2,X3) != X2
& sK52(X0,X1,X2,X3) != X3 ) ),
introduced(choice_axiom,[]) ).
fof(f593,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( rpoint(X4)
& rS(X4,X1,X0)
& X1 != X4
& X2 != X4
& X3 != X4 )
| ~ sP3(X0,X1,X2,X3) ),
inference(rectify,[],[f592]) ).
fof(f592,plain,
! [X0,X2,X4,X6] :
( ? [X8] :
( rpoint(X8)
& rS(X8,X2,X0)
& X2 != X8
& X4 != X8
& X6 != X8 )
| ~ sP3(X0,X2,X4,X6) ),
inference(nnf_transformation,[],[f469]) ).
fof(f2278,plain,
( spl57_121
| ~ spl57_6
| ~ spl57_70 ),
inference(avatar_split_clause,[],[f1977,f1960,f1662,f2276]) ).
fof(f1977,plain,
( ! [X0] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,vd14) )
| ~ spl57_6
| ~ spl57_70 ),
inference(resolution,[],[f1961,f1664]) ).
fof(f2267,plain,
( spl57_120
| ~ spl57_7
| ~ spl57_70 ),
inference(avatar_split_clause,[],[f1976,f1960,f1667,f2265]) ).
fof(f1976,plain,
( ! [X0] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,vd1409) )
| ~ spl57_7
| ~ spl57_70 ),
inference(resolution,[],[f1961,f1669]) ).
fof(f2259,plain,
spl57_119,
inference(avatar_split_clause,[],[f1096,f2257]) ).
fof(f2257,plain,
( spl57_119
<=> ! [X1,X3] :
( sK35(X1,X3) != X3
| ~ rline(X1)
| ~ rpoint(X3)
| ~ ron(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_119])]) ).
fof(f1096,plain,
! [X3,X1] :
( sK35(X1,X3) != X3
| ~ rline(X1)
| ~ rpoint(X3)
| ~ ron(X3,X1) ),
inference(equality_resolution,[],[f1095]) ).
fof(f1095,plain,
! [X2,X3,X1] :
( sK35(X1,X2) != X2
| ~ rline(X1)
| ~ rpoint(X3)
| X2 != X3
| ~ ron(X2,X1) ),
inference(equality_resolution,[],[f735]) ).
fof(f735,plain,
! [X2,X3,X0,X1] :
( sK35(X0,X2) != X2
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ ron(X2,X0) ),
inference(cnf_transformation,[],[f543]) ).
fof(f543,plain,
! [X0,X1,X2,X3] :
( ( rpoint(sK35(X0,X2))
& ron(sK35(X0,X2),X0)
& sK35(X0,X2) != X2 )
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ ron(X2,X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK35])],[f342,f542]) ).
fof(f542,plain,
! [X0,X2] :
( ? [X4] :
( rpoint(X4)
& ron(X4,X0)
& X2 != X4 )
=> ( rpoint(sK35(X0,X2))
& ron(sK35(X0,X2),X0)
& sK35(X0,X2) != X2 ) ),
introduced(choice_axiom,[]) ).
fof(f342,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( rpoint(X4)
& ron(X4,X0)
& X2 != X4 )
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ ron(X2,X0) ),
inference(flattening,[],[f341]) ).
fof(f341,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( rpoint(X4)
& ron(X4,X0)
& X2 != X4 )
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ ron(X2,X0) ),
inference(ennf_transformation,[],[f178]) ).
fof(f178,plain,
! [X0,X1,X2,X3] :
( ( rline(X1)
& X0 = X1
& rpoint(X3)
& X2 = X3
& ron(X2,X0) )
=> ? [X4] :
( rpoint(X4)
& ron(X4,X0)
& X2 != X4 ) ),
inference(rectify,[],[f108]) ).
fof(f108,axiom,
! [X652,X653,X654,X655] :
( ( rline(X653)
& X652 = X653
& rpoint(X655)
& X654 = X655
& ron(X654,X652) )
=> ? [X656] :
( rpoint(X656)
& ron(X656,X652)
& X654 != X656 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(17), 0), imp(cond(axiom(17), 0)))') ).
fof(f2255,plain,
spl57_118,
inference(avatar_split_clause,[],[f1094,f2253]) ).
fof(f1094,plain,
! [X3,X1] :
( ron(sK35(X1,X3),X1)
| ~ rline(X1)
| ~ rpoint(X3)
| ~ ron(X3,X1) ),
inference(equality_resolution,[],[f1093]) ).
fof(f1093,plain,
! [X2,X3,X1] :
( ron(sK35(X1,X2),X1)
| ~ rline(X1)
| ~ rpoint(X3)
| X2 != X3
| ~ ron(X2,X1) ),
inference(equality_resolution,[],[f736]) ).
fof(f736,plain,
! [X2,X3,X0,X1] :
( ron(sK35(X0,X2),X0)
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ ron(X2,X0) ),
inference(cnf_transformation,[],[f543]) ).
fof(f2251,plain,
spl57_117,
inference(avatar_split_clause,[],[f1090,f2249]) ).
fof(f2249,plain,
( spl57_117
<=> ! [X1,X3] :
( sK34(X1,X3) != X3
| ~ rcircle(X1)
| ~ rpoint(X3)
| ~ ron(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_117])]) ).
fof(f1090,plain,
! [X3,X1] :
( sK34(X1,X3) != X3
| ~ rcircle(X1)
| ~ rpoint(X3)
| ~ ron(X3,X1) ),
inference(equality_resolution,[],[f1089]) ).
fof(f1089,plain,
! [X2,X3,X1] :
( sK34(X1,X2) != X2
| ~ rcircle(X1)
| ~ rpoint(X3)
| X2 != X3
| ~ ron(X2,X1) ),
inference(equality_resolution,[],[f732]) ).
fof(f732,plain,
! [X2,X3,X0,X1] :
( sK34(X0,X2) != X2
| ~ rcircle(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ ron(X2,X0) ),
inference(cnf_transformation,[],[f541]) ).
fof(f541,plain,
! [X0,X1,X2,X3] :
( ( rpoint(sK34(X0,X2))
& ron(sK34(X0,X2),X0)
& sK34(X0,X2) != X2 )
| ~ rcircle(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ ron(X2,X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK34])],[f340,f540]) ).
fof(f540,plain,
! [X0,X2] :
( ? [X4] :
( rpoint(X4)
& ron(X4,X0)
& X2 != X4 )
=> ( rpoint(sK34(X0,X2))
& ron(sK34(X0,X2),X0)
& sK34(X0,X2) != X2 ) ),
introduced(choice_axiom,[]) ).
fof(f340,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( rpoint(X4)
& ron(X4,X0)
& X2 != X4 )
| ~ rcircle(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ ron(X2,X0) ),
inference(flattening,[],[f339]) ).
fof(f339,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( rpoint(X4)
& ron(X4,X0)
& X2 != X4 )
| ~ rcircle(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ ron(X2,X0) ),
inference(ennf_transformation,[],[f177]) ).
fof(f177,plain,
! [X0,X1,X2,X3] :
( ( rcircle(X1)
& X0 = X1
& rpoint(X3)
& X2 = X3
& ron(X2,X0) )
=> ? [X4] :
( rpoint(X4)
& ron(X4,X0)
& X2 != X4 ) ),
inference(rectify,[],[f61]) ).
fof(f61,axiom,
! [X293,X294,X295,X296] :
( ( rcircle(X294)
& X293 = X294
& rpoint(X296)
& X295 = X296
& ron(X295,X293) )
=> ? [X297] :
( rpoint(X297)
& ron(X297,X293)
& X295 != X297 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(43), 0), imp(cond(axiom(43), 0)))') ).
fof(f2247,plain,
spl57_116,
inference(avatar_split_clause,[],[f1088,f2245]) ).
fof(f2245,plain,
( spl57_116
<=> ! [X1,X3] :
( ron(sK34(X1,X3),X1)
| ~ rcircle(X1)
| ~ rpoint(X3)
| ~ ron(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_116])]) ).
fof(f1088,plain,
! [X3,X1] :
( ron(sK34(X1,X3),X1)
| ~ rcircle(X1)
| ~ rpoint(X3)
| ~ ron(X3,X1) ),
inference(equality_resolution,[],[f1087]) ).
fof(f1087,plain,
! [X2,X3,X1] :
( ron(sK34(X1,X2),X1)
| ~ rcircle(X1)
| ~ rpoint(X3)
| X2 != X3
| ~ ron(X2,X1) ),
inference(equality_resolution,[],[f733]) ).
fof(f733,plain,
! [X2,X3,X0,X1] :
( ron(sK34(X0,X2),X0)
| ~ rcircle(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ ron(X2,X0) ),
inference(cnf_transformation,[],[f541]) ).
fof(f2243,plain,
spl57_115,
inference(avatar_split_clause,[],[f1082,f2241]) ).
fof(f1082,plain,
! [X3,X1] :
( ron(sK33(X1,X3),X3)
| ~ rline(X1)
| ~ rline(X3)
| ~ rintersect(X1,X3) ),
inference(equality_resolution,[],[f1081]) ).
fof(f1081,plain,
! [X2,X3,X1] :
( ron(sK33(X1,X2),X2)
| ~ rline(X1)
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X1,X2) ),
inference(equality_resolution,[],[f728]) ).
fof(f728,plain,
! [X2,X3,X0,X1] :
( ron(sK33(X0,X2),X2)
| ~ rline(X1)
| X0 != X1
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X0,X2) ),
inference(cnf_transformation,[],[f539]) ).
fof(f539,plain,
! [X0,X1,X2,X3] :
( ( rpoint(sK33(X0,X2))
& ron(sK33(X0,X2),X0)
& ron(sK33(X0,X2),X2) )
| ~ rline(X1)
| X0 != X1
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X0,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK33])],[f336,f538]) ).
fof(f538,plain,
! [X0,X2] :
( ? [X4] :
( rpoint(X4)
& ron(X4,X0)
& ron(X4,X2) )
=> ( rpoint(sK33(X0,X2))
& ron(sK33(X0,X2),X0)
& ron(sK33(X0,X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f336,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( rpoint(X4)
& ron(X4,X0)
& ron(X4,X2) )
| ~ rline(X1)
| X0 != X1
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X0,X2) ),
inference(flattening,[],[f335]) ).
fof(f335,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( rpoint(X4)
& ron(X4,X0)
& ron(X4,X2) )
| ~ rline(X1)
| X0 != X1
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X0,X2) ),
inference(ennf_transformation,[],[f175]) ).
fof(f175,plain,
! [X0,X1,X2,X3] :
( ( rline(X1)
& X0 = X1
& rline(X3)
& X2 = X3
& rintersect(X0,X2) )
=> ? [X4] :
( rpoint(X4)
& ron(X4,X0)
& ron(X4,X2) ) ),
inference(rectify,[],[f95]) ).
fof(f95,axiom,
! [X559,X560,X561,X562] :
( ( rline(X560)
& X559 = X560
& rline(X562)
& X561 = X562
& rintersect(X559,X561) )
=> ? [X563] :
( rpoint(X563)
& ron(X563,X559)
& ron(X563,X561) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(55), 0), imp(cond(axiom(55), 0)))') ).
fof(f2239,plain,
spl57_114,
inference(avatar_split_clause,[],[f1080,f2237]) ).
fof(f1080,plain,
! [X3,X1] :
( ron(sK33(X1,X3),X1)
| ~ rline(X1)
| ~ rline(X3)
| ~ rintersect(X1,X3) ),
inference(equality_resolution,[],[f1079]) ).
fof(f1079,plain,
! [X2,X3,X1] :
( ron(sK33(X1,X2),X1)
| ~ rline(X1)
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X1,X2) ),
inference(equality_resolution,[],[f729]) ).
fof(f729,plain,
! [X2,X3,X0,X1] :
( ron(sK33(X0,X2),X0)
| ~ rline(X1)
| X0 != X1
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X0,X2) ),
inference(cnf_transformation,[],[f539]) ).
fof(f2235,plain,
spl57_113,
inference(avatar_split_clause,[],[f1074,f2233]) ).
fof(f2233,plain,
( spl57_113
<=> ! [X1,X3] :
( ron(sK30(X1,X3),X1)
| ~ rcircle(X1)
| ~ rline(X3)
| ~ rintersect(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_113])]) ).
fof(f1074,plain,
! [X3,X1] :
( ron(sK30(X1,X3),X1)
| ~ rcircle(X1)
| ~ rline(X3)
| ~ rintersect(X3,X1) ),
inference(equality_resolution,[],[f1073]) ).
fof(f1073,plain,
! [X2,X3,X1] :
( ron(sK30(X1,X2),X1)
| ~ rcircle(X1)
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X2,X1) ),
inference(equality_resolution,[],[f717]) ).
fof(f717,plain,
! [X2,X3,X0,X1] :
( ron(sK30(X0,X2),X0)
| ~ rcircle(X1)
| X0 != X1
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X2,X0) ),
inference(cnf_transformation,[],[f533]) ).
fof(f533,plain,
! [X0,X1,X2,X3] :
( ( rpoint(sK30(X0,X2))
& ron(sK30(X0,X2),X2)
& ron(sK30(X0,X2),X0) )
| ~ rcircle(X1)
| X0 != X1
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X2,X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK30])],[f332,f532]) ).
fof(f532,plain,
! [X0,X2] :
( ? [X4] :
( rpoint(X4)
& ron(X4,X2)
& ron(X4,X0) )
=> ( rpoint(sK30(X0,X2))
& ron(sK30(X0,X2),X2)
& ron(sK30(X0,X2),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f332,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( rpoint(X4)
& ron(X4,X2)
& ron(X4,X0) )
| ~ rcircle(X1)
| X0 != X1
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X2,X0) ),
inference(flattening,[],[f331]) ).
fof(f331,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( rpoint(X4)
& ron(X4,X2)
& ron(X4,X0) )
| ~ rcircle(X1)
| X0 != X1
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X2,X0) ),
inference(ennf_transformation,[],[f173]) ).
fof(f173,plain,
! [X0,X1,X2,X3] :
( ( rcircle(X1)
& X0 = X1
& rline(X3)
& X2 = X3
& rintersect(X2,X0) )
=> ? [X4] :
( rpoint(X4)
& ron(X4,X2)
& ron(X4,X0) ) ),
inference(rectify,[],[f94]) ).
fof(f94,axiom,
! [X554,X555,X556,X557] :
( ( rcircle(X555)
& X554 = X555
& rline(X557)
& X556 = X557
& rintersect(X556,X554) )
=> ? [X558] :
( rpoint(X558)
& ron(X558,X556)
& ron(X558,X554) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(57), 0), imp(cond(axiom(57), 0)))') ).
fof(f2231,plain,
spl57_112,
inference(avatar_split_clause,[],[f1072,f2229]) ).
fof(f2229,plain,
( spl57_112
<=> ! [X1,X3] :
( ron(sK30(X1,X3),X3)
| ~ rcircle(X1)
| ~ rline(X3)
| ~ rintersect(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_112])]) ).
fof(f1072,plain,
! [X3,X1] :
( ron(sK30(X1,X3),X3)
| ~ rcircle(X1)
| ~ rline(X3)
| ~ rintersect(X3,X1) ),
inference(equality_resolution,[],[f1071]) ).
fof(f1071,plain,
! [X2,X3,X1] :
( ron(sK30(X1,X2),X2)
| ~ rcircle(X1)
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X2,X1) ),
inference(equality_resolution,[],[f718]) ).
fof(f718,plain,
! [X2,X3,X0,X1] :
( ron(sK30(X0,X2),X2)
| ~ rcircle(X1)
| X0 != X1
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X2,X0) ),
inference(cnf_transformation,[],[f533]) ).
fof(f2227,plain,
spl57_111,
inference(avatar_split_clause,[],[f1068,f2225]) ).
fof(f2225,plain,
( spl57_111
<=> ! [X1,X3] :
( ron(sK29(X1,X3),X3)
| ~ rcircle(X1)
| ~ rcircle(X3)
| ~ rintersect(X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_111])]) ).
fof(f1068,plain,
! [X3,X1] :
( ron(sK29(X1,X3),X3)
| ~ rcircle(X1)
| ~ rcircle(X3)
| ~ rintersect(X1,X3) ),
inference(equality_resolution,[],[f1067]) ).
fof(f1067,plain,
! [X2,X3,X1] :
( ron(sK29(X1,X2),X2)
| ~ rcircle(X1)
| ~ rcircle(X3)
| X2 != X3
| ~ rintersect(X1,X2) ),
inference(equality_resolution,[],[f714]) ).
fof(f714,plain,
! [X2,X3,X0,X1] :
( ron(sK29(X0,X2),X2)
| ~ rcircle(X1)
| X0 != X1
| ~ rcircle(X3)
| X2 != X3
| ~ rintersect(X0,X2) ),
inference(cnf_transformation,[],[f531]) ).
fof(f531,plain,
! [X0,X1,X2,X3] :
( ( rpoint(sK29(X0,X2))
& ron(sK29(X0,X2),X0)
& ron(sK29(X0,X2),X2) )
| ~ rcircle(X1)
| X0 != X1
| ~ rcircle(X3)
| X2 != X3
| ~ rintersect(X0,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK29])],[f330,f530]) ).
fof(f530,plain,
! [X0,X2] :
( ? [X4] :
( rpoint(X4)
& ron(X4,X0)
& ron(X4,X2) )
=> ( rpoint(sK29(X0,X2))
& ron(sK29(X0,X2),X0)
& ron(sK29(X0,X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f330,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( rpoint(X4)
& ron(X4,X0)
& ron(X4,X2) )
| ~ rcircle(X1)
| X0 != X1
| ~ rcircle(X3)
| X2 != X3
| ~ rintersect(X0,X2) ),
inference(flattening,[],[f329]) ).
fof(f329,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( rpoint(X4)
& ron(X4,X0)
& ron(X4,X2) )
| ~ rcircle(X1)
| X0 != X1
| ~ rcircle(X3)
| X2 != X3
| ~ rintersect(X0,X2) ),
inference(ennf_transformation,[],[f172]) ).
fof(f172,plain,
! [X0,X1,X2,X3] :
( ( rcircle(X1)
& X0 = X1
& rcircle(X3)
& X2 = X3
& rintersect(X0,X2) )
=> ? [X4] :
( rpoint(X4)
& ron(X4,X0)
& ron(X4,X2) ) ),
inference(rectify,[],[f91]) ).
fof(f91,axiom,
! [X534,X535,X536,X537] :
( ( rcircle(X535)
& X534 = X535
& rcircle(X537)
& X536 = X537
& rintersect(X534,X536) )
=> ? [X538] :
( rpoint(X538)
& ron(X538,X534)
& ron(X538,X536) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(65), 0), imp(cond(axiom(65), 0)))') ).
fof(f2223,plain,
spl57_110,
inference(avatar_split_clause,[],[f1066,f2221]) ).
fof(f2221,plain,
( spl57_110
<=> ! [X1,X3] :
( ron(sK29(X1,X3),X1)
| ~ rcircle(X1)
| ~ rcircle(X3)
| ~ rintersect(X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_110])]) ).
fof(f1066,plain,
! [X3,X1] :
( ron(sK29(X1,X3),X1)
| ~ rcircle(X1)
| ~ rcircle(X3)
| ~ rintersect(X1,X3) ),
inference(equality_resolution,[],[f1065]) ).
fof(f1065,plain,
! [X2,X3,X1] :
( ron(sK29(X1,X2),X1)
| ~ rcircle(X1)
| ~ rcircle(X3)
| X2 != X3
| ~ rintersect(X1,X2) ),
inference(equality_resolution,[],[f715]) ).
fof(f715,plain,
! [X2,X3,X0,X1] :
( ron(sK29(X0,X2),X0)
| ~ rcircle(X1)
| X0 != X1
| ~ rcircle(X3)
| X2 != X3
| ~ rintersect(X0,X2) ),
inference(cnf_transformation,[],[f531]) ).
fof(f2219,plain,
spl57_109,
inference(avatar_split_clause,[],[f1055,f2217]) ).
fof(f2217,plain,
( spl57_109
<=> ! [X1,X3] :
( sK27(X1,X3) != X3
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_109])]) ).
fof(f1055,plain,
! [X3,X1] :
( sK27(X1,X3) != X3
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X3,X1) ),
inference(equality_resolution,[],[f1054]) ).
fof(f1054,plain,
! [X2,X3,X1] :
( sK27(X1,X2) != X2
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X2,X1)
| X2 != X3 ),
inference(equality_resolution,[],[f707]) ).
fof(f707,plain,
! [X2,X3,X0,X1] :
( sK27(X0,X2) != X2
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X3)
| ron(X2,X0)
| X2 != X3 ),
inference(cnf_transformation,[],[f527]) ).
fof(f2215,plain,
spl57_108,
inference(avatar_split_clause,[],[f1007,f2213]) ).
fof(f2213,plain,
( spl57_108
<=> ! [X6,X4,X5] :
( sK22(X4,X5,X6) != X6
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_108])]) ).
fof(f1007,plain,
! [X6,X4,X5] :
( sK22(X4,X5,X6) != X6
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6) ),
inference(equality_resolution,[],[f1006]) ).
fof(f1006,plain,
! [X2,X6,X4,X5] :
( sK22(X4,X5,X2) != X2
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X2 != X6 ),
inference(equality_resolution,[],[f1005]) ).
fof(f1005,plain,
! [X2,X1,X6,X4,X5] :
( sK22(X4,X1,X2) != X2
| ~ rpoint(X4)
| ~ rpoint(X5)
| X1 != X5
| ~ rpoint(X6)
| X2 != X6 ),
inference(equality_resolution,[],[f687]) ).
fof(f687,plain,
! [X2,X0,X1,X6,X4,X5] :
( sK22(X0,X1,X2) != X2
| ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X5)
| X1 != X5
| ~ rpoint(X6)
| X2 != X6 ),
inference(cnf_transformation,[],[f514]) ).
fof(f514,plain,
! [X0,X1,X2] :
( ( rpoint(sK22(X0,X1,X2))
& sK22(X0,X1,X2) != X0
& sK22(X0,X1,X2) != X1
& sK22(X0,X1,X2) != X2 )
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X2 != X6 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f512,f513]) ).
fof(f513,plain,
! [X0,X1,X2] :
( ? [X3] :
( rpoint(X3)
& X0 != X3
& X1 != X3
& X2 != X3 )
=> ( rpoint(sK22(X0,X1,X2))
& sK22(X0,X1,X2) != X0
& sK22(X0,X1,X2) != X1
& sK22(X0,X1,X2) != X2 ) ),
introduced(choice_axiom,[]) ).
fof(f512,plain,
! [X0,X1,X2] :
( ? [X3] :
( rpoint(X3)
& X0 != X3
& X1 != X3
& X2 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X2 != X6 ) ),
inference(rectify,[],[f298]) ).
fof(f298,plain,
! [X0,X1,X2] :
( ? [X6] :
( rpoint(X6)
& X0 != X6
& X1 != X6
& X2 != X6 )
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X2 != X5 ) ),
inference(flattening,[],[f297]) ).
fof(f297,plain,
! [X0,X1,X2] :
( ? [X6] :
( rpoint(X6)
& X0 != X6
& X1 != X6
& X2 != X6 )
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X2 != X5 ) ),
inference(ennf_transformation,[],[f156]) ).
fof(f156,plain,
! [X0,X1,X2] :
( ( ? [X3] :
( rpoint(X3)
& X0 = X3 )
& ? [X4] :
( rpoint(X4)
& X1 = X4 )
& ? [X5] :
( rpoint(X5)
& X2 = X5 ) )
=> ? [X6] :
( rpoint(X6)
& X0 != X6
& X1 != X6
& X2 != X6 ) ),
inference(rectify,[],[f111]) ).
fof(f111,axiom,
! [X669,X670,X671] :
( ( ? [X674] :
( rpoint(X674)
& X669 = X674 )
& ? [X673] :
( rpoint(X673)
& X670 = X673 )
& ? [X672] :
( rpoint(X672)
& X671 = X672 ) )
=> ? [X675] :
( rpoint(X675)
& X669 != X675
& X670 != X675
& X671 != X675 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(11), 0), imp(cond(axiom(11), 0)))') ).
fof(f2211,plain,
spl57_107,
inference(avatar_split_clause,[],[f1004,f2209]) ).
fof(f2209,plain,
( spl57_107
<=> ! [X6,X4,X5] :
( sK22(X4,X5,X6) != X5
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_107])]) ).
fof(f1004,plain,
! [X6,X4,X5] :
( sK22(X4,X5,X6) != X5
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6) ),
inference(equality_resolution,[],[f1003]) ).
fof(f1003,plain,
! [X2,X6,X4,X5] :
( sK22(X4,X5,X2) != X5
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X2 != X6 ),
inference(equality_resolution,[],[f1002]) ).
fof(f1002,plain,
! [X2,X1,X6,X4,X5] :
( sK22(X4,X1,X2) != X1
| ~ rpoint(X4)
| ~ rpoint(X5)
| X1 != X5
| ~ rpoint(X6)
| X2 != X6 ),
inference(equality_resolution,[],[f688]) ).
fof(f688,plain,
! [X2,X0,X1,X6,X4,X5] :
( sK22(X0,X1,X2) != X1
| ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X5)
| X1 != X5
| ~ rpoint(X6)
| X2 != X6 ),
inference(cnf_transformation,[],[f514]) ).
fof(f2207,plain,
spl57_106,
inference(avatar_split_clause,[],[f1001,f2205]) ).
fof(f2205,plain,
( spl57_106
<=> ! [X6,X4,X5] :
( sK22(X4,X5,X6) != X4
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_106])]) ).
fof(f1001,plain,
! [X6,X4,X5] :
( sK22(X4,X5,X6) != X4
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6) ),
inference(equality_resolution,[],[f1000]) ).
fof(f1000,plain,
! [X2,X6,X4,X5] :
( sK22(X4,X5,X2) != X4
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X2 != X6 ),
inference(equality_resolution,[],[f999]) ).
fof(f999,plain,
! [X2,X1,X6,X4,X5] :
( sK22(X4,X1,X2) != X4
| ~ rpoint(X4)
| ~ rpoint(X5)
| X1 != X5
| ~ rpoint(X6)
| X2 != X6 ),
inference(equality_resolution,[],[f689]) ).
fof(f689,plain,
! [X2,X0,X1,X6,X4,X5] :
( sK22(X0,X1,X2) != X0
| ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X5)
| X1 != X5
| ~ rpoint(X6)
| X2 != X6 ),
inference(cnf_transformation,[],[f514]) ).
fof(f2203,plain,
spl57_105,
inference(avatar_split_clause,[],[f946,f2201]) ).
fof(f946,plain,
! [X2,X3] :
( X2 = X3
| vd684 != vf(X2,X3)
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f945]) ).
fof(f945,plain,
! [X2,X3,X1] :
( X1 = X2
| vd684 != vf(X2,X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| X1 != X3 ),
inference(equality_resolution,[],[f899]) ).
fof(f899,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| vd684 != vf(X0,X1)
| ~ rpoint(X2)
| X0 != X2
| ~ rpoint(X3)
| X1 != X3 ),
inference(definition_unfolding,[],[f669,f612]) ).
fof(f669,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| v0 != vf(X0,X1)
| ~ rpoint(X2)
| X0 != X2
| ~ rpoint(X3)
| X1 != X3 ),
inference(cnf_transformation,[],[f503]) ).
fof(f503,plain,
! [X0,X1] :
( ( ( v0 = vf(X0,X1)
| X0 != X1 )
& ( X0 = X1
| v0 != vf(X0,X1) ) )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(nnf_transformation,[],[f278]) ).
fof(f278,plain,
! [X0,X1] :
( ( v0 = vf(X0,X1)
<=> X0 = X1 )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(flattening,[],[f277]) ).
fof(f277,plain,
! [X0,X1] :
( ( v0 = vf(X0,X1)
<=> X0 = X1 )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(ennf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0,X1] :
( ( ? [X2] :
( rpoint(X2)
& X0 = X2 )
& ? [X3] :
( rpoint(X3)
& X1 = X3 ) )
=> ( v0 = vf(X0,X1)
<=> X0 = X1 ) ),
inference(rectify,[],[f33]) ).
fof(f33,axiom,
! [X100,X101] :
( ( ? [X103] :
( rpoint(X103)
& X100 = X103 )
& ? [X102] :
( rpoint(X102)
& X101 = X102 ) )
=> ( v0 = vf(X100,X101)
<=> X100 = X101 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))') ).
fof(f2199,plain,
spl57_104,
inference(avatar_split_clause,[],[f922,f2197]) ).
fof(f2197,plain,
( spl57_104
<=> ! [X4,X3] :
( ron(X4,sK12(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_104])]) ).
fof(f922,plain,
! [X3,X4] :
( ron(X4,sK12(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 = X4 ),
inference(equality_resolution,[],[f921]) ).
fof(f921,plain,
! [X3,X1,X4] :
( ron(X1,sK12(X3,X1))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4
| X1 = X3 ),
inference(equality_resolution,[],[f643]) ).
fof(f643,plain,
! [X3,X0,X1,X4] :
( ron(X1,sK12(X0,X1))
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4
| X0 = X1 ),
inference(cnf_transformation,[],[f488]) ).
fof(f488,plain,
! [X0,X1] :
( ( rline(sK12(X0,X1))
& ron(X0,sK12(X0,X1))
& ron(X1,sK12(X0,X1)) )
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 )
| X0 = X1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f486,f487]) ).
fof(f487,plain,
! [X0,X1] :
( ? [X2] :
( rline(X2)
& ron(X0,X2)
& ron(X1,X2) )
=> ( rline(sK12(X0,X1))
& ron(X0,sK12(X0,X1))
& ron(X1,sK12(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f486,plain,
! [X0,X1] :
( ? [X2] :
( rline(X2)
& ron(X0,X2)
& ron(X1,X2) )
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 )
| X0 = X1 ),
inference(rectify,[],[f256]) ).
fof(f256,plain,
! [X0,X1] :
( ? [X4] :
( rline(X4)
& ron(X0,X4)
& ron(X1,X4) )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 )
| X0 = X1 ),
inference(flattening,[],[f255]) ).
fof(f255,plain,
! [X0,X1] :
( ? [X4] :
( rline(X4)
& ron(X0,X4)
& ron(X1,X4) )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 )
| X0 = X1 ),
inference(ennf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0,X1] :
( ( ? [X2] :
( rpoint(X2)
& X0 = X2 )
& ? [X3] :
( rpoint(X3)
& X1 = X3 )
& X0 != X1 )
=> ? [X4] :
( rline(X4)
& ron(X0,X4)
& ron(X1,X4) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X4,X5] :
( ( ? [X7] :
( rpoint(X7)
& X4 = X7 )
& ? [X6] :
( rpoint(X6)
& X5 = X6 )
& X4 != X5 )
=> ? [X8] :
( rline(X8)
& ron(X4,X8)
& ron(X5,X8) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))') ).
fof(f2195,plain,
spl57_103,
inference(avatar_split_clause,[],[f920,f2193]) ).
fof(f2193,plain,
( spl57_103
<=> ! [X4,X3] :
( ron(X3,sK12(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_103])]) ).
fof(f920,plain,
! [X3,X4] :
( ron(X3,sK12(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 = X4 ),
inference(equality_resolution,[],[f919]) ).
fof(f919,plain,
! [X3,X1,X4] :
( ron(X3,sK12(X3,X1))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4
| X1 = X3 ),
inference(equality_resolution,[],[f644]) ).
fof(f644,plain,
! [X3,X0,X1,X4] :
( ron(X0,sK12(X0,X1))
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4
| X0 = X1 ),
inference(cnf_transformation,[],[f488]) ).
fof(f2191,plain,
spl57_102,
inference(avatar_split_clause,[],[f916,f2189]) ).
fof(f2189,plain,
( spl57_102
<=> ! [X4,X3] :
( ron(X4,sK11(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_102])]) ).
fof(f916,plain,
! [X3,X4] :
( ron(X4,sK11(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 = X4 ),
inference(equality_resolution,[],[f915]) ).
fof(f915,plain,
! [X3,X1,X4] :
( ron(X1,sK11(X3,X1))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4
| X1 = X3 ),
inference(equality_resolution,[],[f640]) ).
fof(f640,plain,
! [X3,X0,X1,X4] :
( ron(X1,sK11(X0,X1))
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4
| X0 = X1 ),
inference(cnf_transformation,[],[f485]) ).
fof(f485,plain,
! [X0,X1] :
( ( rcircle(sK11(X0,X1))
& rcenter(X0,sK11(X0,X1))
& ron(X1,sK11(X0,X1)) )
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 )
| X0 = X1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f483,f484]) ).
fof(f484,plain,
! [X0,X1] :
( ? [X2] :
( rcircle(X2)
& rcenter(X0,X2)
& ron(X1,X2) )
=> ( rcircle(sK11(X0,X1))
& rcenter(X0,sK11(X0,X1))
& ron(X1,sK11(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f483,plain,
! [X0,X1] :
( ? [X2] :
( rcircle(X2)
& rcenter(X0,X2)
& ron(X1,X2) )
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 )
| X0 = X1 ),
inference(rectify,[],[f254]) ).
fof(f254,plain,
! [X0,X1] :
( ? [X4] :
( rcircle(X4)
& rcenter(X0,X4)
& ron(X1,X4) )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 )
| X0 = X1 ),
inference(flattening,[],[f253]) ).
fof(f253,plain,
! [X0,X1] :
( ? [X4] :
( rcircle(X4)
& rcenter(X0,X4)
& ron(X1,X4) )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 )
| X0 = X1 ),
inference(ennf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0,X1] :
( ( ? [X2] :
( rpoint(X2)
& X0 = X2 )
& ? [X3] :
( rpoint(X3)
& X1 = X3 )
& X0 != X1 )
=> ? [X4] :
( rcircle(X4)
& rcenter(X0,X4)
& ron(X1,X4) ) ),
inference(rectify,[],[f53]) ).
fof(f53,axiom,
! [X254,X255] :
( ( ? [X257] :
( rpoint(X257)
& X254 = X257 )
& ? [X256] :
( rpoint(X256)
& X255 = X256 )
& X254 != X255 )
=> ? [X258] :
( rcircle(X258)
& rcenter(X254,X258)
& ron(X255,X258) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(53), 0), imp(cond(axiom(53), 0)))') ).
fof(f2187,plain,
spl57_101,
inference(avatar_split_clause,[],[f914,f2185]) ).
fof(f914,plain,
! [X3,X4] :
( rcenter(X3,sK11(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 = X4 ),
inference(equality_resolution,[],[f913]) ).
fof(f913,plain,
! [X3,X1,X4] :
( rcenter(X3,sK11(X3,X1))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4
| X1 = X3 ),
inference(equality_resolution,[],[f641]) ).
fof(f641,plain,
! [X3,X0,X1,X4] :
( rcenter(X0,sK11(X0,X1))
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4
| X0 = X1 ),
inference(cnf_transformation,[],[f485]) ).
fof(f2183,plain,
spl57_100,
inference(avatar_split_clause,[],[f848,f2181]) ).
fof(f2181,plain,
( spl57_100
<=> ! [X0,X3,X2,X1] :
( sK52(X0,X1,X2,X3) != X1
| ~ sP3(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_100])]) ).
fof(f848,plain,
! [X2,X3,X0,X1] :
( sK52(X0,X1,X2,X3) != X1
| ~ sP3(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f595]) ).
fof(f2179,plain,
spl57_99,
inference(avatar_split_clause,[],[f847,f2177]) ).
fof(f2177,plain,
( spl57_99
<=> ! [X0,X3,X2,X1] :
( sK52(X0,X1,X2,X3) != X2
| ~ sP3(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_99])]) ).
fof(f847,plain,
! [X2,X3,X0,X1] :
( sK52(X0,X1,X2,X3) != X2
| ~ sP3(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f595]) ).
fof(f2175,plain,
spl57_98,
inference(avatar_split_clause,[],[f846,f2173]) ).
fof(f2173,plain,
( spl57_98
<=> ! [X0,X3,X2,X1] :
( sK52(X0,X1,X2,X3) != X3
| ~ sP3(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_98])]) ).
fof(f846,plain,
! [X2,X3,X0,X1] :
( sK52(X0,X1,X2,X3) != X3
| ~ sP3(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f595]) ).
fof(f2171,plain,
spl57_97,
inference(avatar_split_clause,[],[f758,f2169]) ).
fof(f2169,plain,
( spl57_97
<=> ! [X0,X3,X2,X1] :
( sK39(X0,X1,X2,X3) != X0
| ~ sP2(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_97])]) ).
fof(f758,plain,
! [X2,X3,X0,X1] :
( sK39(X0,X1,X2,X3) != X0
| ~ sP2(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f555]) ).
fof(f555,plain,
! [X0,X1,X2,X3] :
( ( rpoint(sK39(X0,X1,X2,X3))
& sK39(X0,X1,X2,X3) != X0
& sK39(X0,X1,X2,X3) != X1
& sK39(X0,X1,X2,X3) != X2
& sK39(X0,X1,X2,X3) != X3 )
| ~ sP2(X0,X1,X2,X3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK39])],[f553,f554]) ).
fof(f554,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( rpoint(X4)
& X0 != X4
& X1 != X4
& X2 != X4
& X3 != X4 )
=> ( rpoint(sK39(X0,X1,X2,X3))
& sK39(X0,X1,X2,X3) != X0
& sK39(X0,X1,X2,X3) != X1
& sK39(X0,X1,X2,X3) != X2
& sK39(X0,X1,X2,X3) != X3 ) ),
introduced(choice_axiom,[]) ).
fof(f553,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( rpoint(X4)
& X0 != X4
& X1 != X4
& X2 != X4
& X3 != X4 )
| ~ sP2(X0,X1,X2,X3) ),
inference(rectify,[],[f552]) ).
fof(f552,plain,
! [X0,X1,X2,X3] :
( ? [X8] :
( rpoint(X8)
& X0 != X8
& X1 != X8
& X2 != X8
& X3 != X8 )
| ~ sP2(X0,X1,X2,X3) ),
inference(nnf_transformation,[],[f467]) ).
fof(f2167,plain,
spl57_96,
inference(avatar_split_clause,[],[f757,f2165]) ).
fof(f2165,plain,
( spl57_96
<=> ! [X0,X3,X2,X1] :
( sK39(X0,X1,X2,X3) != X1
| ~ sP2(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_96])]) ).
fof(f757,plain,
! [X2,X3,X0,X1] :
( sK39(X0,X1,X2,X3) != X1
| ~ sP2(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f555]) ).
fof(f2163,plain,
spl57_95,
inference(avatar_split_clause,[],[f756,f2161]) ).
fof(f2161,plain,
( spl57_95
<=> ! [X0,X3,X2,X1] :
( sK39(X0,X1,X2,X3) != X2
| ~ sP2(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_95])]) ).
fof(f756,plain,
! [X2,X3,X0,X1] :
( sK39(X0,X1,X2,X3) != X2
| ~ sP2(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f555]) ).
fof(f2159,plain,
spl57_94,
inference(avatar_split_clause,[],[f755,f2157]) ).
fof(f2157,plain,
( spl57_94
<=> ! [X0,X3,X2,X1] :
( sK39(X0,X1,X2,X3) != X3
| ~ sP2(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_94])]) ).
fof(f755,plain,
! [X2,X3,X0,X1] :
( sK39(X0,X1,X2,X3) != X3
| ~ sP2(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f555]) ).
fof(f2074,plain,
spl57_93,
inference(avatar_split_clause,[],[f1092,f2072]) ).
fof(f1092,plain,
! [X3,X1] :
( rpoint(sK35(X1,X3))
| ~ rline(X1)
| ~ rpoint(X3)
| ~ ron(X3,X1) ),
inference(equality_resolution,[],[f1091]) ).
fof(f1091,plain,
! [X2,X3,X1] :
( rpoint(sK35(X1,X2))
| ~ rline(X1)
| ~ rpoint(X3)
| X2 != X3
| ~ ron(X2,X1) ),
inference(equality_resolution,[],[f737]) ).
fof(f737,plain,
! [X2,X3,X0,X1] :
( rpoint(sK35(X0,X2))
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ ron(X2,X0) ),
inference(cnf_transformation,[],[f543]) ).
fof(f2070,plain,
spl57_92,
inference(avatar_split_clause,[],[f1086,f2068]) ).
fof(f1086,plain,
! [X3,X1] :
( rpoint(sK34(X1,X3))
| ~ rcircle(X1)
| ~ rpoint(X3)
| ~ ron(X3,X1) ),
inference(equality_resolution,[],[f1085]) ).
fof(f1085,plain,
! [X2,X3,X1] :
( rpoint(sK34(X1,X2))
| ~ rcircle(X1)
| ~ rpoint(X3)
| X2 != X3
| ~ ron(X2,X1) ),
inference(equality_resolution,[],[f734]) ).
fof(f734,plain,
! [X2,X3,X0,X1] :
( rpoint(sK34(X0,X2))
| ~ rcircle(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ ron(X2,X0) ),
inference(cnf_transformation,[],[f541]) ).
fof(f2066,plain,
spl57_91,
inference(avatar_split_clause,[],[f1078,f2064]) ).
fof(f1078,plain,
! [X3,X1] :
( rpoint(sK33(X1,X3))
| ~ rline(X1)
| ~ rline(X3)
| ~ rintersect(X1,X3) ),
inference(equality_resolution,[],[f1077]) ).
fof(f1077,plain,
! [X2,X3,X1] :
( rpoint(sK33(X1,X2))
| ~ rline(X1)
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X1,X2) ),
inference(equality_resolution,[],[f730]) ).
fof(f730,plain,
! [X2,X3,X0,X1] :
( rpoint(sK33(X0,X2))
| ~ rline(X1)
| X0 != X1
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X0,X2) ),
inference(cnf_transformation,[],[f539]) ).
fof(f2062,plain,
spl57_90,
inference(avatar_split_clause,[],[f1070,f2060]) ).
fof(f1070,plain,
! [X3,X1] :
( rpoint(sK30(X1,X3))
| ~ rcircle(X1)
| ~ rline(X3)
| ~ rintersect(X3,X1) ),
inference(equality_resolution,[],[f1069]) ).
fof(f1069,plain,
! [X2,X3,X1] :
( rpoint(sK30(X1,X2))
| ~ rcircle(X1)
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X2,X1) ),
inference(equality_resolution,[],[f719]) ).
fof(f719,plain,
! [X2,X3,X0,X1] :
( rpoint(sK30(X0,X2))
| ~ rcircle(X1)
| X0 != X1
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X2,X0) ),
inference(cnf_transformation,[],[f533]) ).
fof(f2058,plain,
spl57_89,
inference(avatar_split_clause,[],[f1064,f2056]) ).
fof(f1064,plain,
! [X3,X1] :
( rpoint(sK29(X1,X3))
| ~ rcircle(X1)
| ~ rcircle(X3)
| ~ rintersect(X1,X3) ),
inference(equality_resolution,[],[f1063]) ).
fof(f1063,plain,
! [X2,X3,X1] :
( rpoint(sK29(X1,X2))
| ~ rcircle(X1)
| ~ rcircle(X3)
| X2 != X3
| ~ rintersect(X1,X2) ),
inference(equality_resolution,[],[f716]) ).
fof(f716,plain,
! [X2,X3,X0,X1] :
( rpoint(sK29(X0,X2))
| ~ rcircle(X1)
| X0 != X1
| ~ rcircle(X3)
| X2 != X3
| ~ rintersect(X0,X2) ),
inference(cnf_transformation,[],[f531]) ).
fof(f2054,plain,
spl57_88,
inference(avatar_split_clause,[],[f1060,f2052]) ).
fof(f1060,plain,
! [X2,X3,X1] :
( X2 = X3
| ~ rcircle(X1)
| ~ rcenter(X2,X1)
| ~ rcenter(X3,X1) ),
inference(equality_resolution,[],[f712]) ).
fof(f712,plain,
! [X2,X3,X0,X1] :
( X2 = X3
| ~ rcircle(X1)
| X0 != X1
| ~ rcenter(X2,X0)
| ~ rcenter(X3,X0) ),
inference(cnf_transformation,[],[f326]) ).
fof(f326,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| ~ rcircle(X1)
| X0 != X1
| ~ rcenter(X2,X0)
| ~ rcenter(X3,X0) ),
inference(flattening,[],[f325]) ).
fof(f325,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| ~ rcircle(X1)
| X0 != X1
| ~ rcenter(X2,X0)
| ~ rcenter(X3,X0) ),
inference(ennf_transformation,[],[f170]) ).
fof(f170,plain,
! [X0,X1,X2,X3] :
( ( rcircle(X1)
& X0 = X1
& rcenter(X2,X0)
& rcenter(X3,X0) )
=> X2 = X3 ),
inference(rectify,[],[f88]) ).
fof(f88,axiom,
! [X510,X511,X512,X513] :
( ( rcircle(X511)
& X510 = X511
& rcenter(X512,X510)
& rcenter(X513,X510) )
=> X512 = X513 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(75), 0), imp(cond(axiom(75), 0)))') ).
fof(f2050,plain,
spl57_87,
inference(avatar_split_clause,[],[f1057,f2048]) ).
fof(f1057,plain,
! [X3,X1] :
( rpoint(sK28(X1,X3))
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X3,X1) ),
inference(equality_resolution,[],[f1056]) ).
fof(f1056,plain,
! [X2,X3,X1] :
( rpoint(sK28(X1,X2))
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X2,X1)
| X2 != X3 ),
inference(equality_resolution,[],[f711]) ).
fof(f711,plain,
! [X2,X3,X0,X1] :
( rpoint(sK28(X0,X2))
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X3)
| ron(X2,X0)
| X2 != X3 ),
inference(cnf_transformation,[],[f529]) ).
fof(f2046,plain,
spl57_86,
inference(avatar_split_clause,[],[f1051,f2044]) ).
fof(f1051,plain,
! [X3,X1] :
( rpoint(sK27(X1,X3))
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X3,X1) ),
inference(equality_resolution,[],[f1050]) ).
fof(f1050,plain,
! [X2,X3,X1] :
( rpoint(sK27(X1,X2))
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X2,X1)
| X2 != X3 ),
inference(equality_resolution,[],[f709]) ).
fof(f709,plain,
! [X2,X3,X0,X1] :
( rpoint(sK27(X0,X2))
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X3)
| ron(X2,X0)
| X2 != X3 ),
inference(cnf_transformation,[],[f527]) ).
fof(f2042,plain,
spl57_85,
inference(avatar_split_clause,[],[f1043,f2040]) ).
fof(f1043,plain,
! [X3,X1] :
( vplus(X1,X3) = sK26(X1,X3)
| ~ rreal(X1)
| ~ rreal(X3) ),
inference(equality_resolution,[],[f1042]) ).
fof(f1042,plain,
! [X2,X3,X1] :
( vplus(X1,X2) = sK26(X1,X2)
| ~ rreal(X1)
| ~ rreal(X3)
| X2 != X3 ),
inference(equality_resolution,[],[f702]) ).
fof(f702,plain,
! [X2,X3,X0,X1] :
( vplus(X0,X2) = sK26(X0,X2)
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3 ),
inference(cnf_transformation,[],[f525]) ).
fof(f525,plain,
! [X0,X1,X2,X3] :
( ( rreal(sK26(X0,X2))
& vplus(X0,X2) = sK26(X0,X2) )
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f314,f524]) ).
fof(f524,plain,
! [X0,X2] :
( ? [X4] :
( rreal(X4)
& vplus(X0,X2) = X4 )
=> ( rreal(sK26(X0,X2))
& vplus(X0,X2) = sK26(X0,X2) ) ),
introduced(choice_axiom,[]) ).
fof(f314,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( rreal(X4)
& vplus(X0,X2) = X4 )
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3 ),
inference(flattening,[],[f313]) ).
fof(f313,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( rreal(X4)
& vplus(X0,X2) = X4 )
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3 ),
inference(ennf_transformation,[],[f164]) ).
fof(f164,plain,
! [X0,X1,X2,X3] :
( ( rreal(X1)
& X0 = X1
& rreal(X3)
& X2 = X3 )
=> ? [X4] :
( rreal(X4)
& vplus(X0,X2) = X4 ) ),
inference(rectify,[],[f68]) ).
fof(f68,axiom,
! [X334,X335,X336,X337] :
( ( rreal(X335)
& X334 = X335
& rreal(X337)
& X336 = X337 )
=> ? [X338] :
( rreal(X338)
& vplus(X334,X336) = X338 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(139), 0), imp(cond(axiom(139), 0)))') ).
fof(f2038,plain,
spl57_84,
inference(avatar_split_clause,[],[f1037,f2036]) ).
fof(f1037,plain,
! [X3,X1] :
( vplus(X1,X3) = vplus(X3,X1)
| ~ rreal(X1)
| ~ rreal(X3) ),
inference(equality_resolution,[],[f1036]) ).
fof(f1036,plain,
! [X2,X3,X1] :
( vplus(X1,X2) = vplus(X2,X1)
| ~ rreal(X1)
| ~ rreal(X3)
| X2 != X3 ),
inference(equality_resolution,[],[f700]) ).
fof(f700,plain,
! [X2,X3,X0,X1] :
( vplus(X0,X2) = vplus(X2,X0)
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3 ),
inference(cnf_transformation,[],[f310]) ).
fof(f310,plain,
! [X0,X1,X2,X3] :
( vplus(X0,X2) = vplus(X2,X0)
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3 ),
inference(flattening,[],[f309]) ).
fof(f309,plain,
! [X0,X1,X2,X3] :
( vplus(X0,X2) = vplus(X2,X0)
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3 ),
inference(ennf_transformation,[],[f162]) ).
fof(f162,plain,
! [X0,X1,X2,X3] :
( ( rreal(X1)
& X0 = X1
& rreal(X3)
& X2 = X3 )
=> vplus(X0,X2) = vplus(X2,X0) ),
inference(rectify,[],[f56]) ).
fof(f56,axiom,
! [X279,X280,X281,X282] :
( ( rreal(X280)
& X279 = X280
& rreal(X282)
& X281 = X282 )
=> vplus(X279,X281) = vplus(X281,X279) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(143), 0), imp(cond(axiom(143), 0)))') ).
fof(f2034,plain,
spl57_83,
inference(avatar_split_clause,[],[f1035,f2032]) ).
fof(f1035,plain,
! [X3,X1] :
( rS(X1,X1,X3)
| ~ rpoint(X1)
| ~ rline(X3)
| ron(X1,X3) ),
inference(equality_resolution,[],[f1034]) ).
fof(f1034,plain,
! [X2,X3,X1] :
( rS(X1,X1,X2)
| ~ rpoint(X1)
| ~ rline(X3)
| X2 != X3
| ron(X1,X2) ),
inference(equality_resolution,[],[f699]) ).
fof(f699,plain,
! [X2,X3,X0,X1] :
( rS(X0,X0,X2)
| ~ rpoint(X1)
| X0 != X1
| ~ rline(X3)
| X2 != X3
| ron(X0,X2) ),
inference(cnf_transformation,[],[f308]) ).
fof(f308,plain,
! [X0,X1,X2,X3] :
( rS(X0,X0,X2)
| ~ rpoint(X1)
| X0 != X1
| ~ rline(X3)
| X2 != X3
| ron(X0,X2) ),
inference(flattening,[],[f307]) ).
fof(f307,plain,
! [X0,X1,X2,X3] :
( rS(X0,X0,X2)
| ~ rpoint(X1)
| X0 != X1
| ~ rline(X3)
| X2 != X3
| ron(X0,X2) ),
inference(ennf_transformation,[],[f161]) ).
fof(f161,plain,
! [X0,X1,X2,X3] :
( ( rpoint(X1)
& X0 = X1
& rline(X3)
& X2 = X3
& ~ ron(X0,X2) )
=> rS(X0,X0,X2) ),
inference(rectify,[],[f84]) ).
fof(f84,axiom,
! [X488,X489,X490,X491] :
( ( rpoint(X489)
& X488 = X489
& rline(X491)
& X490 = X491
& ~ ron(X488,X490) )
=> rS(X488,X488,X490) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(95), 0), imp(cond(axiom(95), 0)))') ).
fof(f2030,plain,
spl57_82,
inference(avatar_split_clause,[],[f1010,f2028]) ).
fof(f1010,plain,
! [X6,X4,X5] :
( rreal(sK23(X4,X5,X6))
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6) ),
inference(equality_resolution,[],[f1009]) ).
fof(f1009,plain,
! [X2,X6,X4,X5] :
( rreal(sK23(X4,X5,X2))
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X2 != X6 ),
inference(equality_resolution,[],[f1008]) ).
fof(f1008,plain,
! [X2,X1,X6,X4,X5] :
( rreal(sK23(X4,X1,X2))
| ~ rpoint(X4)
| ~ rpoint(X5)
| X1 != X5
| ~ rpoint(X6)
| X2 != X6 ),
inference(equality_resolution,[],[f692]) ).
fof(f692,plain,
! [X2,X0,X1,X6,X4,X5] :
( rreal(sK23(X0,X1,X2))
| ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X5)
| X1 != X5
| ~ rpoint(X6)
| X2 != X6 ),
inference(cnf_transformation,[],[f517]) ).
fof(f2026,plain,
spl57_81,
inference(avatar_split_clause,[],[f998,f2024]) ).
fof(f998,plain,
! [X6,X4,X5] :
( rpoint(sK22(X4,X5,X6))
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6) ),
inference(equality_resolution,[],[f997]) ).
fof(f997,plain,
! [X2,X6,X4,X5] :
( rpoint(sK22(X4,X5,X2))
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X2 != X6 ),
inference(equality_resolution,[],[f996]) ).
fof(f996,plain,
! [X2,X1,X6,X4,X5] :
( rpoint(sK22(X4,X1,X2))
| ~ rpoint(X4)
| ~ rpoint(X5)
| X1 != X5
| ~ rpoint(X6)
| X2 != X6 ),
inference(equality_resolution,[],[f690]) ).
fof(f690,plain,
! [X2,X0,X1,X6,X4,X5] :
( rpoint(sK22(X0,X1,X2))
| ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X5)
| X1 != X5
| ~ rpoint(X6)
| X2 != X6 ),
inference(cnf_transformation,[],[f514]) ).
fof(f2022,plain,
spl57_80,
inference(avatar_split_clause,[],[f956,f2020]) ).
fof(f956,plain,
! [X3,X4] :
( vf(X3,X4) = sK21(X3,X4)
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f955]) ).
fof(f955,plain,
! [X3,X1,X4] :
( sK21(X3,X1) = vf(X3,X1)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4 ),
inference(equality_resolution,[],[f674]) ).
fof(f674,plain,
! [X3,X0,X1,X4] :
( vf(X0,X1) = sK21(X0,X1)
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4 ),
inference(cnf_transformation,[],[f509]) ).
fof(f509,plain,
! [X0,X1] :
( ( rreal(sK21(X0,X1))
& vf(X0,X1) = sK21(X0,X1) )
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f507,f508]) ).
fof(f508,plain,
! [X0,X1] :
( ? [X2] :
( rreal(X2)
& vf(X0,X1) = X2 )
=> ( rreal(sK21(X0,X1))
& vf(X0,X1) = sK21(X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f507,plain,
! [X0,X1] :
( ? [X2] :
( rreal(X2)
& vf(X0,X1) = X2 )
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 ) ),
inference(rectify,[],[f282]) ).
fof(f282,plain,
! [X0,X1] :
( ? [X4] :
( rreal(X4)
& vf(X0,X1) = X4 )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(flattening,[],[f281]) ).
fof(f281,plain,
! [X0,X1] :
( ? [X4] :
( rreal(X4)
& vf(X0,X1) = X4 )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(ennf_transformation,[],[f147]) ).
fof(f147,plain,
! [X0,X1] :
( ( ? [X2] :
( rpoint(X2)
& X0 = X2 )
& ? [X3] :
( rpoint(X3)
& X1 = X3 ) )
=> ? [X4] :
( rreal(X4)
& vf(X0,X1) = X4 ) ),
inference(rectify,[],[f34]) ).
fof(f34,axiom,
! [X104,X105] :
( ( ? [X107] :
( rpoint(X107)
& X104 = X107 )
& ? [X106] :
( rpoint(X106)
& X105 = X106 ) )
=> ? [X108] :
( rreal(X108)
& vf(X104,X105) = X108 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))') ).
fof(f2018,plain,
spl57_79,
inference(avatar_split_clause,[],[f941,f2016]) ).
fof(f941,plain,
! [X2,X3] :
( vf(X3,X2) = vf(X2,X3)
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f940]) ).
fof(f940,plain,
! [X2,X3,X1] :
( vf(X1,X2) = vf(X2,X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| X1 != X3 ),
inference(equality_resolution,[],[f668]) ).
fof(f668,plain,
! [X2,X3,X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ~ rpoint(X2)
| X0 != X2
| ~ rpoint(X3)
| X1 != X3 ),
inference(cnf_transformation,[],[f276]) ).
fof(f276,plain,
! [X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(flattening,[],[f275]) ).
fof(f275,plain,
! [X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(ennf_transformation,[],[f144]) ).
fof(f144,plain,
! [X0,X1] :
( ( ? [X2] :
( rpoint(X2)
& X0 = X2 )
& ? [X3] :
( rpoint(X3)
& X1 = X3 ) )
=> vf(X0,X1) = vf(X1,X0) ),
inference(rectify,[],[f32]) ).
fof(f32,axiom,
! [X96,X97] :
( ( ? [X99] :
( rpoint(X99)
& X96 = X99 )
& ? [X98] :
( rpoint(X98)
& X97 = X98 ) )
=> vf(X96,X97) = vf(X97,X96) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))') ).
fof(f2014,plain,
spl57_78,
inference(avatar_split_clause,[],[f918,f2012]) ).
fof(f2012,plain,
( spl57_78
<=> ! [X4,X3] :
( rline(sK12(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_78])]) ).
fof(f918,plain,
! [X3,X4] :
( rline(sK12(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 = X4 ),
inference(equality_resolution,[],[f917]) ).
fof(f917,plain,
! [X3,X1,X4] :
( rline(sK12(X3,X1))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4
| X1 = X3 ),
inference(equality_resolution,[],[f645]) ).
fof(f645,plain,
! [X3,X0,X1,X4] :
( rline(sK12(X0,X1))
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4
| X0 = X1 ),
inference(cnf_transformation,[],[f488]) ).
fof(f2010,plain,
( spl57_77
| ~ spl57_9
| ~ spl57_44 ),
inference(avatar_split_clause,[],[f1840,f1832,f1677,f2007]) ).
fof(f2007,plain,
( spl57_77
<=> vd684 = vf(sK8,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_77])]) ).
fof(f1840,plain,
( vd684 = vf(sK8,sK8)
| ~ spl57_9
| ~ spl57_44 ),
inference(resolution,[],[f1833,f1679]) ).
fof(f2005,plain,
spl57_76,
inference(avatar_split_clause,[],[f912,f2003]) ).
fof(f912,plain,
! [X3,X4] :
( rcircle(sK11(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 = X4 ),
inference(equality_resolution,[],[f911]) ).
fof(f911,plain,
! [X3,X1,X4] :
( rcircle(sK11(X3,X1))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4
| X1 = X3 ),
inference(equality_resolution,[],[f642]) ).
fof(f642,plain,
! [X3,X0,X1,X4] :
( rcircle(sK11(X0,X1))
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4
| X0 = X1 ),
inference(cnf_transformation,[],[f485]) ).
fof(f2001,plain,
spl57_75,
inference(avatar_split_clause,[],[f850,f1999]) ).
fof(f850,plain,
! [X2,X3,X0,X1] :
( rpoint(sK52(X0,X1,X2,X3))
| ~ sP3(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f595]) ).
fof(f1997,plain,
spl57_74,
inference(avatar_split_clause,[],[f759,f1995]) ).
fof(f759,plain,
! [X2,X3,X0,X1] :
( rpoint(sK39(X0,X1,X2,X3))
| ~ sP2(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f555]) ).
fof(f1975,plain,
spl57_73,
inference(avatar_split_clause,[],[f1084,f1973]) ).
fof(f1084,plain,
! [X3,X1] :
( ~ ron(X1,X3)
| ~ rpoint(X1)
| ~ rcircle(X3)
| ~ rinside(X1,X3) ),
inference(equality_resolution,[],[f1083]) ).
fof(f1083,plain,
! [X2,X3,X1] :
( ~ ron(X1,X2)
| ~ rpoint(X1)
| ~ rcircle(X3)
| X2 != X3
| ~ rinside(X1,X2) ),
inference(equality_resolution,[],[f731]) ).
fof(f731,plain,
! [X2,X3,X0,X1] :
( ~ ron(X0,X2)
| ~ rpoint(X1)
| X0 != X1
| ~ rcircle(X3)
| X2 != X3
| ~ rinside(X0,X2) ),
inference(cnf_transformation,[],[f338]) ).
fof(f338,plain,
! [X0,X1,X2,X3] :
( ~ ron(X0,X2)
| ~ rpoint(X1)
| X0 != X1
| ~ rcircle(X3)
| X2 != X3
| ~ rinside(X0,X2) ),
inference(flattening,[],[f337]) ).
fof(f337,plain,
! [X0,X1,X2,X3] :
( ~ ron(X0,X2)
| ~ rpoint(X1)
| X0 != X1
| ~ rcircle(X3)
| X2 != X3
| ~ rinside(X0,X2) ),
inference(ennf_transformation,[],[f176]) ).
fof(f176,plain,
! [X0,X1,X2,X3] :
( ( rpoint(X1)
& X0 = X1
& rcircle(X3)
& X2 = X3
& rinside(X0,X2) )
=> ~ ron(X0,X2) ),
inference(rectify,[],[f49]) ).
fof(f49,axiom,
! [X227,X228,X229,X230] :
( ( rpoint(X228)
& X227 = X228
& rcircle(X230)
& X229 = X230
& rinside(X227,X229) )
=> ~ ron(X227,X229) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(79), 0), imp(cond(axiom(79), 0)))') ).
fof(f1971,plain,
( spl57_72
| ~ spl57_10
| ~ spl57_44 ),
inference(avatar_split_clause,[],[f1839,f1832,f1682,f1968]) ).
fof(f1968,plain,
( spl57_72
<=> vd684 = vf(sK7,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_72])]) ).
fof(f1839,plain,
( vd684 = vf(sK7,sK7)
| ~ spl57_10
| ~ spl57_44 ),
inference(resolution,[],[f1833,f1684]) ).
fof(f1966,plain,
spl57_71,
inference(avatar_split_clause,[],[f1076,f1964]) ).
fof(f1964,plain,
( spl57_71
<=> ! [X1,X3] :
( sP1(X3,X1)
| ~ rcircle(X1)
| ~ rline(X3)
| ~ rintersect(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_71])]) ).
fof(f1076,plain,
! [X3,X1] :
( sP1(X3,X1)
| ~ rcircle(X1)
| ~ rline(X3)
| ~ rintersect(X3,X1) ),
inference(equality_resolution,[],[f1075]) ).
fof(f1075,plain,
! [X2,X3,X1] :
( sP1(X2,X1)
| ~ rcircle(X1)
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X2,X1) ),
inference(equality_resolution,[],[f727]) ).
fof(f727,plain,
! [X2,X3,X0,X1] :
( sP1(X2,X0)
| ~ rcircle(X1)
| X0 != X1
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X2,X0) ),
inference(cnf_transformation,[],[f466]) ).
fof(f466,plain,
! [X0,X1,X2,X3] :
( sP1(X2,X0)
| ~ rcircle(X1)
| X0 != X1
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X2,X0) ),
inference(definition_folding,[],[f334,f465]) ).
fof(f465,plain,
! [X2,X0] :
( ? [X4,X5] :
( rpoint(X4)
& ron(X4,X2)
& ron(X4,X0)
& rpoint(X5)
& ron(X5,X2)
& ron(X5,X0)
& X4 != X5 )
| ~ sP1(X2,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f334,plain,
! [X0,X1,X2,X3] :
( ? [X4,X5] :
( rpoint(X4)
& ron(X4,X2)
& ron(X4,X0)
& rpoint(X5)
& ron(X5,X2)
& ron(X5,X0)
& X4 != X5 )
| ~ rcircle(X1)
| X0 != X1
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X2,X0) ),
inference(flattening,[],[f333]) ).
fof(f333,plain,
! [X0,X1,X2,X3] :
( ? [X4,X5] :
( rpoint(X4)
& ron(X4,X2)
& ron(X4,X0)
& rpoint(X5)
& ron(X5,X2)
& ron(X5,X0)
& X4 != X5 )
| ~ rcircle(X1)
| X0 != X1
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X2,X0) ),
inference(ennf_transformation,[],[f174]) ).
fof(f174,plain,
! [X0,X1,X2,X3] :
( ( rcircle(X1)
& X0 = X1
& rline(X3)
& X2 = X3
& rintersect(X2,X0) )
=> ? [X4,X5] :
( rpoint(X4)
& ron(X4,X2)
& ron(X4,X0)
& rpoint(X5)
& ron(X5,X2)
& ron(X5,X0)
& X4 != X5 ) ),
inference(rectify,[],[f93]) ).
fof(f93,axiom,
! [X548,X549,X550,X551] :
( ( rcircle(X549)
& X548 = X549
& rline(X551)
& X550 = X551
& rintersect(X550,X548) )
=> ? [X552,X553] :
( rpoint(X552)
& ron(X552,X550)
& ron(X552,X548)
& rpoint(X553)
& ron(X553,X550)
& ron(X553,X548)
& X552 != X553 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(59), 0), imp(cond(axiom(59), 0)))') ).
fof(f1962,plain,
spl57_70,
inference(avatar_split_clause,[],[f939,f1960]) ).
fof(f939,plain,
! [X2,X3] :
( vd684 = vg(X2,X2,X3)
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f938]) ).
fof(f938,plain,
! [X2,X3,X1] :
( vd684 = vg(X2,X2,X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| X1 != X3 ),
inference(equality_resolution,[],[f897]) ).
fof(f897,plain,
! [X2,X3,X0,X1] :
( vd684 = vg(X0,X0,X1)
| ~ rpoint(X2)
| X0 != X2
| ~ rpoint(X3)
| X1 != X3 ),
inference(definition_unfolding,[],[f667,f612]) ).
fof(f667,plain,
! [X2,X3,X0,X1] :
( v0 = vg(X0,X0,X1)
| ~ rpoint(X2)
| X0 != X2
| ~ rpoint(X3)
| X1 != X3 ),
inference(cnf_transformation,[],[f274]) ).
fof(f274,plain,
! [X0,X1] :
( v0 = vg(X0,X0,X1)
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(flattening,[],[f273]) ).
fof(f273,plain,
! [X0,X1] :
( v0 = vg(X0,X0,X1)
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(ennf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0,X1] :
( ( ? [X2] :
( rpoint(X2)
& X0 = X2 )
& ? [X3] :
( rpoint(X3)
& X1 = X3 ) )
=> v0 = vg(X0,X0,X1) ),
inference(rectify,[],[f125]) ).
fof(f125,axiom,
! [X767,X768] :
( ( ? [X770] :
( rpoint(X770)
& X767 = X770 )
& ? [X769] :
( rpoint(X769)
& X768 = X769 ) )
=> v0 = vg(X767,X767,X768) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(172), 0), imp(cond(axiom(172), 0)))') ).
fof(f1958,plain,
spl57_69,
inference(avatar_split_clause,[],[f937,f1956]) ).
fof(f937,plain,
! [X2,X3] :
( sP0(X2,X3)
| ~ rcircle(X2)
| ~ rcircle(X3)
| ~ rintersect(X2,X3) ),
inference(equality_resolution,[],[f936]) ).
fof(f936,plain,
! [X2,X3,X1] :
( sP0(X2,X1)
| ~ rcircle(X2)
| ~ rcircle(X3)
| X1 != X3
| ~ rintersect(X2,X1) ),
inference(equality_resolution,[],[f666]) ).
fof(f666,plain,
! [X2,X3,X0,X1] :
( sP0(X0,X1)
| ~ rcircle(X2)
| X0 != X2
| ~ rcircle(X3)
| X1 != X3
| ~ rintersect(X0,X1) ),
inference(cnf_transformation,[],[f464]) ).
fof(f464,plain,
! [X0,X1] :
( sP0(X0,X1)
| ! [X2] :
( ~ rcircle(X2)
| X0 != X2 )
| ! [X3] :
( ~ rcircle(X3)
| X1 != X3 )
| ~ rintersect(X0,X1) ),
inference(definition_folding,[],[f272,f463]) ).
fof(f463,plain,
! [X0,X1] :
( ? [X4,X5] :
( rpoint(X4)
& ron(X4,X0)
& ron(X4,X1)
& rpoint(X5)
& ron(X5,X0)
& ron(X5,X1)
& X4 != X5 )
| ~ sP0(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f272,plain,
! [X0,X1] :
( ? [X4,X5] :
( rpoint(X4)
& ron(X4,X0)
& ron(X4,X1)
& rpoint(X5)
& ron(X5,X0)
& ron(X5,X1)
& X4 != X5 )
| ! [X2] :
( ~ rcircle(X2)
| X0 != X2 )
| ! [X3] :
( ~ rcircle(X3)
| X1 != X3 )
| ~ rintersect(X0,X1) ),
inference(flattening,[],[f271]) ).
fof(f271,plain,
! [X0,X1] :
( ? [X4,X5] :
( rpoint(X4)
& ron(X4,X0)
& ron(X4,X1)
& rpoint(X5)
& ron(X5,X0)
& ron(X5,X1)
& X4 != X5 )
| ! [X2] :
( ~ rcircle(X2)
| X0 != X2 )
| ! [X3] :
( ~ rcircle(X3)
| X1 != X3 )
| ~ rintersect(X0,X1) ),
inference(ennf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0,X1] :
( ( ? [X2] :
( rcircle(X2)
& X0 = X2 )
& ? [X3] :
( rcircle(X3)
& X1 = X3 )
& rintersect(X0,X1) )
=> ? [X4,X5] :
( rpoint(X4)
& ron(X4,X0)
& ron(X4,X1)
& rpoint(X5)
& ron(X5,X0)
& ron(X5,X1)
& X4 != X5 ) ),
inference(rectify,[],[f51]) ).
fof(f51,axiom,
! [X239,X240] :
( ( ? [X242] :
( rcircle(X242)
& X239 = X242 )
& ? [X241] :
( rcircle(X241)
& X240 = X241 )
& rintersect(X239,X240) )
=> ? [X243,X244] :
( rpoint(X243)
& ron(X243,X239)
& ron(X243,X240)
& rpoint(X244)
& ron(X244,X239)
& ron(X244,X240)
& X243 != X244 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(67), 0), imp(cond(axiom(67), 0)))') ).
fof(f1954,plain,
spl57_68,
inference(avatar_split_clause,[],[f720,f1952]) ).
fof(f1952,plain,
( spl57_68
<=> ! [X0,X1] :
( sK31(X0,X1) != sK32(X0,X1)
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_68])]) ).
fof(f720,plain,
! [X0,X1] :
( sK31(X0,X1) != sK32(X0,X1)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f537]) ).
fof(f537,plain,
! [X0,X1] :
( ( rpoint(sK31(X0,X1))
& ron(sK31(X0,X1),X0)
& ron(sK31(X0,X1),X1)
& rpoint(sK32(X0,X1))
& ron(sK32(X0,X1),X0)
& ron(sK32(X0,X1),X1)
& sK31(X0,X1) != sK32(X0,X1) )
| ~ sP1(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK31,sK32])],[f535,f536]) ).
fof(f536,plain,
! [X0,X1] :
( ? [X2,X3] :
( rpoint(X2)
& ron(X2,X0)
& ron(X2,X1)
& rpoint(X3)
& ron(X3,X0)
& ron(X3,X1)
& X2 != X3 )
=> ( rpoint(sK31(X0,X1))
& ron(sK31(X0,X1),X0)
& ron(sK31(X0,X1),X1)
& rpoint(sK32(X0,X1))
& ron(sK32(X0,X1),X0)
& ron(sK32(X0,X1),X1)
& sK31(X0,X1) != sK32(X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f535,plain,
! [X0,X1] :
( ? [X2,X3] :
( rpoint(X2)
& ron(X2,X0)
& ron(X2,X1)
& rpoint(X3)
& ron(X3,X0)
& ron(X3,X1)
& X2 != X3 )
| ~ sP1(X0,X1) ),
inference(rectify,[],[f534]) ).
fof(f534,plain,
! [X2,X0] :
( ? [X4,X5] :
( rpoint(X4)
& ron(X4,X2)
& ron(X4,X0)
& rpoint(X5)
& ron(X5,X2)
& ron(X5,X0)
& X4 != X5 )
| ~ sP1(X2,X0) ),
inference(nnf_transformation,[],[f465]) ).
fof(f1950,plain,
spl57_67,
inference(avatar_split_clause,[],[f659,f1948]) ).
fof(f1948,plain,
( spl57_67
<=> ! [X0,X1] :
( sK18(X0,X1) != sK19(X0,X1)
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_67])]) ).
fof(f659,plain,
! [X0,X1] :
( sK18(X0,X1) != sK19(X0,X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f502]) ).
fof(f502,plain,
! [X0,X1] :
( ( rpoint(sK18(X0,X1))
& ron(sK18(X0,X1),X0)
& ron(sK18(X0,X1),X1)
& rpoint(sK19(X0,X1))
& ron(sK19(X0,X1),X0)
& ron(sK19(X0,X1),X1)
& sK18(X0,X1) != sK19(X0,X1) )
| ~ sP0(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19])],[f500,f501]) ).
fof(f501,plain,
! [X0,X1] :
( ? [X2,X3] :
( rpoint(X2)
& ron(X2,X0)
& ron(X2,X1)
& rpoint(X3)
& ron(X3,X0)
& ron(X3,X1)
& X2 != X3 )
=> ( rpoint(sK18(X0,X1))
& ron(sK18(X0,X1),X0)
& ron(sK18(X0,X1),X1)
& rpoint(sK19(X0,X1))
& ron(sK19(X0,X1),X0)
& ron(sK19(X0,X1),X1)
& sK18(X0,X1) != sK19(X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f500,plain,
! [X0,X1] :
( ? [X2,X3] :
( rpoint(X2)
& ron(X2,X0)
& ron(X2,X1)
& rpoint(X3)
& ron(X3,X0)
& ron(X3,X1)
& X2 != X3 )
| ~ sP0(X0,X1) ),
inference(rectify,[],[f499]) ).
fof(f499,plain,
! [X0,X1] :
( ? [X4,X5] :
( rpoint(X4)
& ron(X4,X0)
& ron(X4,X1)
& rpoint(X5)
& ron(X5,X0)
& ron(X5,X1)
& X4 != X5 )
| ~ sP0(X0,X1) ),
inference(nnf_transformation,[],[f463]) ).
fof(f1946,plain,
spl57_66,
inference(avatar_split_clause,[],[f952,f1944]) ).
fof(f1944,plain,
( spl57_66
<=> ! [X4,X3] :
( sK20(X3,X4) != X4
| ~ rpoint(X3)
| ~ rpoint(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_66])]) ).
fof(f952,plain,
! [X3,X4] :
( sK20(X3,X4) != X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f951]) ).
fof(f951,plain,
! [X3,X1,X4] :
( sK20(X3,X1) != X1
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4 ),
inference(equality_resolution,[],[f671]) ).
fof(f671,plain,
! [X3,X0,X1,X4] :
( sK20(X0,X1) != X1
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4 ),
inference(cnf_transformation,[],[f506]) ).
fof(f506,plain,
! [X0,X1] :
( ( rpoint(sK20(X0,X1))
& sK20(X0,X1) != X0
& sK20(X0,X1) != X1 )
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f504,f505]) ).
fof(f505,plain,
! [X0,X1] :
( ? [X2] :
( rpoint(X2)
& X0 != X2
& X1 != X2 )
=> ( rpoint(sK20(X0,X1))
& sK20(X0,X1) != X0
& sK20(X0,X1) != X1 ) ),
introduced(choice_axiom,[]) ).
fof(f504,plain,
! [X0,X1] :
( ? [X2] :
( rpoint(X2)
& X0 != X2
& X1 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 ) ),
inference(rectify,[],[f280]) ).
fof(f280,plain,
! [X0,X1] :
( ? [X4] :
( rpoint(X4)
& X0 != X4
& X1 != X4 )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(flattening,[],[f279]) ).
fof(f279,plain,
! [X0,X1] :
( ? [X4] :
( rpoint(X4)
& X0 != X4
& X1 != X4 )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(ennf_transformation,[],[f146]) ).
fof(f146,plain,
! [X0,X1] :
( ( ? [X2] :
( rpoint(X2)
& X0 = X2 )
& ? [X3] :
( rpoint(X3)
& X1 = X3 ) )
=> ? [X4] :
( rpoint(X4)
& X0 != X4
& X1 != X4 ) ),
inference(rectify,[],[f112]) ).
fof(f112,axiom,
! [X676,X677] :
( ( ? [X679] :
( rpoint(X679)
& X676 = X679 )
& ? [X678] :
( rpoint(X678)
& X677 = X678 ) )
=> ? [X680] :
( rpoint(X680)
& X676 != X680
& X677 != X680 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(9), 0), imp(cond(axiom(9), 0)))') ).
fof(f1942,plain,
spl57_65,
inference(avatar_split_clause,[],[f950,f1940]) ).
fof(f1940,plain,
( spl57_65
<=> ! [X4,X3] :
( sK20(X3,X4) != X3
| ~ rpoint(X3)
| ~ rpoint(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_65])]) ).
fof(f950,plain,
! [X3,X4] :
( sK20(X3,X4) != X3
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f949]) ).
fof(f949,plain,
! [X3,X1,X4] :
( sK20(X3,X1) != X3
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4 ),
inference(equality_resolution,[],[f672]) ).
fof(f672,plain,
! [X3,X0,X1,X4] :
( sK20(X0,X1) != X0
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4 ),
inference(cnf_transformation,[],[f506]) ).
fof(f1938,plain,
( spl57_64
| ~ spl57_11
| ~ spl57_44 ),
inference(avatar_split_clause,[],[f1838,f1832,f1687,f1935]) ).
fof(f1935,plain,
( spl57_64
<=> vd684 = vf(sK6,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_64])]) ).
fof(f1838,plain,
( vd684 = vf(sK6,sK6)
| ~ spl57_11
| ~ spl57_44 ),
inference(resolution,[],[f1833,f1689]) ).
fof(f1933,plain,
spl57_63,
inference(avatar_split_clause,[],[f888,f1930]) ).
fof(f888,plain,
vangle(sK6,sK8,vd1409) = vangle(sK6,vd1409,sK8),
inference(definition_unfolding,[],[f616,f628,f624,f628,f624]) ).
fof(f624,plain,
vd1401 = sK8,
inference(cnf_transformation,[],[f478]) ).
fof(f478,plain,
( rpoint(sK6)
& vd1399 = sK6
& rpoint(sK7)
& vd1400 = sK7
& rpoint(sK8)
& vd1401 = sK8
& vd1399 != vd1400
& vd1399 != vd1401
& vd1401 != vd1400
& rline(vd1407)
& ron(vd1399,vd1406)
& ron(vd1400,vd1406)
& vd1406 = vd1407 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8])],[f127,f477,f476,f475]) ).
fof(f475,plain,
( ? [X0] :
( rpoint(X0)
& vd1399 = X0 )
=> ( rpoint(sK6)
& vd1399 = sK6 ) ),
introduced(choice_axiom,[]) ).
fof(f476,plain,
( ? [X1] :
( rpoint(X1)
& vd1400 = X1 )
=> ( rpoint(sK7)
& vd1400 = sK7 ) ),
introduced(choice_axiom,[]) ).
fof(f477,plain,
( ? [X2] :
( rpoint(X2)
& vd1401 = X2 )
=> ( rpoint(sK8)
& vd1401 = sK8 ) ),
introduced(choice_axiom,[]) ).
fof(f127,plain,
( ? [X0] :
( rpoint(X0)
& vd1399 = X0 )
& ? [X1] :
( rpoint(X1)
& vd1400 = X1 )
& ? [X2] :
( rpoint(X2)
& vd1401 = X2 )
& vd1399 != vd1400
& vd1399 != vd1401
& vd1401 != vd1400
& rline(vd1407)
& ron(vd1399,vd1406)
& ron(vd1400,vd1406)
& vd1406 = vd1407 ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
( ? [X3] :
( rpoint(X3)
& vd1399 = X3 )
& ? [X2] :
( rpoint(X2)
& vd1400 = X2 )
& ? [X1] :
( rpoint(X1)
& vd1401 = X1 )
& vd1399 != vd1400
& vd1399 != vd1401
& vd1401 != vd1400
& rline(vd1407)
& ron(vd1399,vd1406)
& ron(vd1400,vd1406)
& vd1406 = vd1407 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(pred(conjunct2(405), 5), and(pred(s2(plural(conjunct2(405))), 0), and(pred(s1(plural(conjunct2(405))), 0), and(pred(conjunct2(405), 1), and(pred(conjunct1(405), 9), and(pred(conjunct1(405), 8), and(pred(conjunct1(405), 7), and(qe(s3(plural(405))), and(qe(s2(plural(405))), qe(s1(plural(405))))))))))))') ).
fof(f628,plain,
vd1399 = sK6,
inference(cnf_transformation,[],[f478]) ).
fof(f616,plain,
vangle(vd1399,vd1401,vd1409) = vangle(vd1399,vd1409,vd1401),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
vangle(vd1399,vd1401,vd1409) = vangle(vd1399,vd1409,vd1401),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(407, 1414, 0)') ).
fof(f1925,plain,
( spl57_62
| ~ spl57_6
| ~ spl57_44 ),
inference(avatar_split_clause,[],[f1837,f1832,f1662,f1922]) ).
fof(f1922,plain,
( spl57_62
<=> vd684 = vf(vd14,vd14) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_62])]) ).
fof(f1837,plain,
( vd684 = vf(vd14,vd14)
| ~ spl57_6
| ~ spl57_44 ),
inference(resolution,[],[f1833,f1664]) ).
fof(f1920,plain,
spl57_61,
inference(avatar_split_clause,[],[f1633,f1918]) ).
fof(f1918,plain,
( spl57_61
<=> ! [X4,X5] :
( ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rR(X4,X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_61])]) ).
fof(f1633,plain,
! [X4,X5] :
( ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rR(X4,X4,X5) ),
inference(duplicate_literal_removal,[],[f969]) ).
fof(f969,plain,
! [X4,X5] :
( ~ rpoint(X4)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rR(X4,X4,X5) ),
inference(equality_resolution,[],[f968]) ).
fof(f968,plain,
! [X2,X4,X5] :
( ~ rpoint(X4)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X2 != X5
| ~ rR(X4,X4,X2) ),
inference(equality_resolution,[],[f967]) ).
fof(f967,plain,
! [X2,X3,X4,X5] :
( ~ rpoint(X3)
| ~ rpoint(X4)
| X3 != X4
| ~ rpoint(X5)
| X2 != X5
| ~ rR(X3,X3,X2) ),
inference(equality_resolution,[],[f966]) ).
fof(f966,plain,
! [X2,X3,X1,X4,X5] :
( ~ rpoint(X3)
| X1 != X3
| ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X5)
| X2 != X5
| ~ rR(X1,X1,X2) ),
inference(equality_resolution,[],[f680]) ).
fof(f680,plain,
! [X2,X3,X0,X1,X4,X5] :
( X0 != X1
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X5)
| X2 != X5
| ~ rR(X1,X0,X2) ),
inference(cnf_transformation,[],[f288]) ).
fof(f1916,plain,
spl57_60,
inference(avatar_split_clause,[],[f1632,f1914]) ).
fof(f1914,plain,
( spl57_60
<=> ! [X4,X5] :
( ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rR(X4,X5,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_60])]) ).
fof(f1632,plain,
! [X4,X5] :
( ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rR(X4,X5,X5) ),
inference(duplicate_literal_removal,[],[f973]) ).
fof(f973,plain,
! [X4,X5] :
( ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rR(X4,X5,X5) ),
inference(equality_resolution,[],[f972]) ).
fof(f972,plain,
! [X3,X4,X5] :
( ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X3 != X5
| ~ rR(X4,X3,X3) ),
inference(equality_resolution,[],[f971]) ).
fof(f971,plain,
! [X3,X1,X4,X5] :
( ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X5)
| X3 != X5
| ~ rR(X1,X3,X3) ),
inference(equality_resolution,[],[f970]) ).
fof(f970,plain,
! [X2,X3,X1,X4,X5] :
( ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X5)
| X2 != X5
| ~ rR(X1,X2,X2) ),
inference(equality_resolution,[],[f679]) ).
fof(f679,plain,
! [X2,X3,X0,X1,X4,X5] :
( X0 != X2
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X5)
| X2 != X5
| ~ rR(X1,X0,X2) ),
inference(cnf_transformation,[],[f288]) ).
fof(f1912,plain,
spl57_59,
inference(avatar_split_clause,[],[f1041,f1910]) ).
fof(f1041,plain,
! [X3,X1] :
( rreal(sK26(X1,X3))
| ~ rreal(X1)
| ~ rreal(X3) ),
inference(equality_resolution,[],[f1040]) ).
fof(f1040,plain,
! [X2,X3,X1] :
( rreal(sK26(X1,X2))
| ~ rreal(X1)
| ~ rreal(X3)
| X2 != X3 ),
inference(equality_resolution,[],[f703]) ).
fof(f703,plain,
! [X2,X3,X0,X1] :
( rreal(sK26(X0,X2))
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3 ),
inference(cnf_transformation,[],[f525]) ).
fof(f1908,plain,
spl57_58,
inference(avatar_split_clause,[],[f954,f1906]) ).
fof(f954,plain,
! [X3,X4] :
( rreal(sK21(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f953]) ).
fof(f953,plain,
! [X3,X1,X4] :
( rreal(sK21(X3,X1))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4 ),
inference(equality_resolution,[],[f675]) ).
fof(f675,plain,
! [X3,X0,X1,X4] :
( rreal(sK21(X0,X1))
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4 ),
inference(cnf_transformation,[],[f509]) ).
fof(f1904,plain,
( spl57_57
| ~ spl57_7
| ~ spl57_44 ),
inference(avatar_split_clause,[],[f1836,f1832,f1667,f1901]) ).
fof(f1901,plain,
( spl57_57
<=> vd684 = vf(vd1409,vd1409) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_57])]) ).
fof(f1836,plain,
( vd684 = vf(vd1409,vd1409)
| ~ spl57_7
| ~ spl57_44 ),
inference(resolution,[],[f1833,f1669]) ).
fof(f1899,plain,
spl57_56,
inference(avatar_split_clause,[],[f948,f1897]) ).
fof(f948,plain,
! [X3,X4] :
( rpoint(sK20(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f947]) ).
fof(f947,plain,
! [X3,X1,X4] :
( rpoint(sK20(X3,X1))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4 ),
inference(equality_resolution,[],[f673]) ).
fof(f673,plain,
! [X3,X0,X1,X4] :
( rpoint(sK20(X0,X1))
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4 ),
inference(cnf_transformation,[],[f506]) ).
fof(f1895,plain,
spl57_55,
inference(avatar_split_clause,[],[f725,f1893]) ).
fof(f725,plain,
! [X0,X1] :
( ron(sK31(X0,X1),X0)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f537]) ).
fof(f1891,plain,
spl57_54,
inference(avatar_split_clause,[],[f724,f1889]) ).
fof(f724,plain,
! [X0,X1] :
( ron(sK31(X0,X1),X1)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f537]) ).
fof(f1887,plain,
spl57_53,
inference(avatar_split_clause,[],[f722,f1885]) ).
fof(f722,plain,
! [X0,X1] :
( ron(sK32(X0,X1),X0)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f537]) ).
fof(f1883,plain,
spl57_52,
inference(avatar_split_clause,[],[f721,f1881]) ).
fof(f721,plain,
! [X0,X1] :
( ron(sK32(X0,X1),X1)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f537]) ).
fof(f1879,plain,
spl57_51,
inference(avatar_split_clause,[],[f664,f1877]) ).
fof(f664,plain,
! [X0,X1] :
( ron(sK18(X0,X1),X0)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f502]) ).
fof(f1875,plain,
spl57_50,
inference(avatar_split_clause,[],[f663,f1873]) ).
fof(f663,plain,
! [X0,X1] :
( ron(sK18(X0,X1),X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f502]) ).
fof(f1871,plain,
spl57_49,
inference(avatar_split_clause,[],[f661,f1869]) ).
fof(f661,plain,
! [X0,X1] :
( ron(sK19(X0,X1),X0)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f502]) ).
fof(f1867,plain,
spl57_48,
inference(avatar_split_clause,[],[f660,f1865]) ).
fof(f660,plain,
! [X0,X1] :
( ron(sK19(X0,X1),X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f502]) ).
fof(f1863,plain,
spl57_47,
inference(avatar_split_clause,[],[f636,f1861]) ).
fof(f636,plain,
! [X0,X1] :
( sK9(X0,X1) = X0
| ~ rcenter(X0,X1) ),
inference(cnf_transformation,[],[f480]) ).
fof(f480,plain,
! [X0,X1] :
( ( rpoint(sK9(X0,X1))
& sK9(X0,X1) = X0
& rcircle(sK10(X0,X1))
& sK10(X0,X1) = X1 )
| ~ rcenter(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f248,f479]) ).
fof(f479,plain,
! [X0,X1] :
( ? [X2,X3] :
( rpoint(X2)
& X0 = X2
& rcircle(X3)
& X1 = X3 )
=> ( rpoint(sK9(X0,X1))
& sK9(X0,X1) = X0
& rcircle(sK10(X0,X1))
& sK10(X0,X1) = X1 ) ),
introduced(choice_axiom,[]) ).
fof(f248,plain,
! [X0,X1] :
( ? [X2,X3] :
( rpoint(X2)
& X0 = X2
& rcircle(X3)
& X1 = X3 )
| ~ rcenter(X0,X1) ),
inference(ennf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0,X1] :
( rcenter(X0,X1)
=> ? [X2,X3] :
( rpoint(X2)
& X0 = X2
& rcircle(X3)
& X1 = X3 ) ),
inference(rectify,[],[f64]) ).
fof(f64,axiom,
! [X314,X315] :
( rcenter(X314,X315)
=> ? [X316,X317] :
( rpoint(X316)
& X314 = X316
& rcircle(X317)
& X315 = X317 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(1), 0), imp(cond(axiom(1), 0)))') ).
fof(f1859,plain,
( spl57_46
| ~ spl57_5
| ~ spl57_43 ),
inference(avatar_split_clause,[],[f1835,f1828,f1657,f1856]) ).
fof(f1856,plain,
( spl57_46
<=> vd684 = vplus(vd684,vd684) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_46])]) ).
fof(f1835,plain,
( vd684 = vplus(vd684,vd684)
| ~ spl57_5
| ~ spl57_43 ),
inference(resolution,[],[f1829,f1659]) ).
fof(f1854,plain,
spl57_45,
inference(avatar_split_clause,[],[f634,f1852]) ).
fof(f634,plain,
! [X0,X1] :
( sK10(X0,X1) = X1
| ~ rcenter(X0,X1) ),
inference(cnf_transformation,[],[f480]) ).
fof(f1834,plain,
spl57_44,
inference(avatar_split_clause,[],[f1634,f1832]) ).
fof(f1634,plain,
! [X3] :
( vd684 = vf(X3,X3)
| ~ rpoint(X3) ),
inference(duplicate_literal_removal,[],[f944]) ).
fof(f944,plain,
! [X3] :
( vd684 = vf(X3,X3)
| ~ rpoint(X3)
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f943]) ).
fof(f943,plain,
! [X2,X3] :
( vd684 = vf(X2,X2)
| ~ rpoint(X2)
| ~ rpoint(X3)
| X2 != X3 ),
inference(equality_resolution,[],[f942]) ).
fof(f942,plain,
! [X2,X3,X1] :
( vd684 = vf(X1,X1)
| ~ rpoint(X2)
| X1 != X2
| ~ rpoint(X3)
| X1 != X3 ),
inference(equality_resolution,[],[f898]) ).
fof(f898,plain,
! [X2,X3,X0,X1] :
( vd684 = vf(X0,X1)
| X0 != X1
| ~ rpoint(X2)
| X0 != X2
| ~ rpoint(X3)
| X1 != X3 ),
inference(definition_unfolding,[],[f670,f612]) ).
fof(f670,plain,
! [X2,X3,X0,X1] :
( v0 = vf(X0,X1)
| X0 != X1
| ~ rpoint(X2)
| X0 != X2
| ~ rpoint(X3)
| X1 != X3 ),
inference(cnf_transformation,[],[f503]) ).
fof(f1830,plain,
spl57_43,
inference(avatar_split_clause,[],[f931,f1828]) ).
fof(f931,plain,
! [X1] :
( vplus(X1,vd684) = X1
| ~ rreal(X1) ),
inference(equality_resolution,[],[f896]) ).
fof(f896,plain,
! [X0,X1] :
( vplus(X0,vd684) = X0
| ~ rreal(X1)
| X0 != X1 ),
inference(definition_unfolding,[],[f654,f612]) ).
fof(f654,plain,
! [X0,X1] :
( vplus(X0,v0) = X0
| ~ rreal(X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f266]) ).
fof(f266,plain,
! [X0,X1] :
( vplus(X0,v0) = X0
| ~ rreal(X1)
| X0 != X1 ),
inference(flattening,[],[f265]) ).
fof(f265,plain,
! [X0,X1] :
( vplus(X0,v0) = X0
| ~ rreal(X1)
| X0 != X1 ),
inference(ennf_transformation,[],[f138]) ).
fof(f138,plain,
! [X0,X1] :
( ( rreal(X1)
& X0 = X1 )
=> vplus(X0,v0) = X0 ),
inference(rectify,[],[f57]) ).
fof(f57,axiom,
! [X283,X284] :
( ( rreal(X284)
& X283 = X284 )
=> vplus(X283,v0) = X283 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(141), 0), imp(cond(axiom(141), 0)))') ).
fof(f1826,plain,
spl57_42,
inference(avatar_split_clause,[],[f887,f1823]) ).
fof(f887,plain,
vf(sK6,sK8) = vf(sK6,vd1409),
inference(definition_unfolding,[],[f615,f628,f624,f628]) ).
fof(f615,plain,
vf(vd1399,vd1401) = vf(vd1399,vd1409),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
vf(vd1399,vd1401) = vf(vd1399,vd1409),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(conjunct2(406)), 1411, 0)') ).
fof(f1821,plain,
spl57_41,
inference(avatar_split_clause,[],[f886,f1818]) ).
fof(f886,plain,
vf(sK7,sK8) = vf(sK7,vd1409),
inference(definition_unfolding,[],[f614,f626,f624,f626]) ).
fof(f626,plain,
vd1400 = sK7,
inference(cnf_transformation,[],[f478]) ).
fof(f614,plain,
vf(vd1400,vd1401) = vf(vd1400,vd1409),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
vf(vd1400,vd1401) = vf(vd1400,vd1409),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(conjunct2(conjunct2(406))), 1412, 0)') ).
fof(f1816,plain,
spl57_40,
inference(avatar_split_clause,[],[f726,f1814]) ).
fof(f726,plain,
! [X0,X1] :
( rpoint(sK31(X0,X1))
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f537]) ).
fof(f1812,plain,
spl57_39,
inference(avatar_split_clause,[],[f723,f1810]) ).
fof(f723,plain,
! [X0,X1] :
( rpoint(sK32(X0,X1))
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f537]) ).
fof(f1808,plain,
spl57_38,
inference(avatar_split_clause,[],[f665,f1806]) ).
fof(f665,plain,
! [X0,X1] :
( rpoint(sK18(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f502]) ).
fof(f1804,plain,
spl57_37,
inference(avatar_split_clause,[],[f662,f1802]) ).
fof(f662,plain,
! [X0,X1] :
( rpoint(sK19(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f502]) ).
fof(f1800,plain,
spl57_36,
inference(avatar_split_clause,[],[f637,f1798]) ).
fof(f637,plain,
! [X0,X1] :
( rpoint(sK9(X0,X1))
| ~ rcenter(X0,X1) ),
inference(cnf_transformation,[],[f480]) ).
fof(f1796,plain,
spl57_35,
inference(avatar_split_clause,[],[f635,f1794]) ).
fof(f635,plain,
! [X0,X1] :
( rcircle(sK10(X0,X1))
| ~ rcenter(X0,X1) ),
inference(cnf_transformation,[],[f480]) ).
fof(f1792,plain,
spl57_34,
inference(avatar_split_clause,[],[f935,f1790]) ).
fof(f1790,plain,
( spl57_34
<=> ! [X1] :
( sK17(X1) != X1
| ~ rpoint(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_34])]) ).
fof(f935,plain,
! [X1] :
( sK17(X1) != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f657]) ).
fof(f657,plain,
! [X0,X1] :
( sK17(X0) != X0
| ~ rpoint(X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f498]) ).
fof(f498,plain,
! [X0,X1] :
( ( rpoint(sK17(X0))
& sK17(X0) != X0 )
| ~ rpoint(X1)
| X0 != X1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f270,f497]) ).
fof(f497,plain,
! [X0] :
( ? [X2] :
( rpoint(X2)
& X0 != X2 )
=> ( rpoint(sK17(X0))
& sK17(X0) != X0 ) ),
introduced(choice_axiom,[]) ).
fof(f270,plain,
! [X0,X1] :
( ? [X2] :
( rpoint(X2)
& X0 != X2 )
| ~ rpoint(X1)
| X0 != X1 ),
inference(flattening,[],[f269]) ).
fof(f269,plain,
! [X0,X1] :
( ? [X2] :
( rpoint(X2)
& X0 != X2 )
| ~ rpoint(X1)
| X0 != X1 ),
inference(ennf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0,X1] :
( ( rpoint(X1)
& X0 = X1 )
=> ? [X2] :
( rpoint(X2)
& X0 != X2 ) ),
inference(rectify,[],[f113]) ).
fof(f113,axiom,
! [X681,X682] :
( ( rpoint(X682)
& X681 = X682 )
=> ? [X683] :
( rpoint(X683)
& X681 != X683 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(7), 0), imp(cond(axiom(7), 0)))') ).
fof(f1788,plain,
spl57_33,
inference(avatar_split_clause,[],[f933,f1786]) ).
fof(f933,plain,
! [X1] :
( ron(sK16(X1),X1)
| ~ rline(X1) ),
inference(equality_resolution,[],[f655]) ).
fof(f655,plain,
! [X0,X1] :
( ron(sK16(X0),X0)
| ~ rline(X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f496]) ).
fof(f496,plain,
! [X0,X1] :
( ( rpoint(sK16(X0))
& ron(sK16(X0),X0) )
| ~ rline(X1)
| X0 != X1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f268,f495]) ).
fof(f495,plain,
! [X0] :
( ? [X2] :
( rpoint(X2)
& ron(X2,X0) )
=> ( rpoint(sK16(X0))
& ron(sK16(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f268,plain,
! [X0,X1] :
( ? [X2] :
( rpoint(X2)
& ron(X2,X0) )
| ~ rline(X1)
| X0 != X1 ),
inference(flattening,[],[f267]) ).
fof(f267,plain,
! [X0,X1] :
( ? [X2] :
( rpoint(X2)
& ron(X2,X0) )
| ~ rline(X1)
| X0 != X1 ),
inference(ennf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0,X1] :
( ( rline(X1)
& X0 = X1 )
=> ? [X2] :
( rpoint(X2)
& ron(X2,X0) ) ),
inference(rectify,[],[f109]) ).
fof(f109,axiom,
! [X657,X658] :
( ( rline(X658)
& X657 = X658 )
=> ? [X659] :
( rpoint(X659)
& ron(X659,X657) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(15), 0), imp(cond(axiom(15), 0)))') ).
fof(f1784,plain,
spl57_32,
inference(avatar_split_clause,[],[f929,f1782]) ).
fof(f929,plain,
! [X1] :
( ron(sK15(X1),X1)
| ~ rcircle(X1) ),
inference(equality_resolution,[],[f651]) ).
fof(f651,plain,
! [X0,X1] :
( ron(sK15(X0),X0)
| ~ rcircle(X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f494]) ).
fof(f494,plain,
! [X0,X1] :
( ( rpoint(sK15(X0))
& ron(sK15(X0),X0) )
| ~ rcircle(X1)
| X0 != X1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f262,f493]) ).
fof(f493,plain,
! [X0] :
( ? [X2] :
( rpoint(X2)
& ron(X2,X0) )
=> ( rpoint(sK15(X0))
& ron(sK15(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f262,plain,
! [X0,X1] :
( ? [X2] :
( rpoint(X2)
& ron(X2,X0) )
| ~ rcircle(X1)
| X0 != X1 ),
inference(flattening,[],[f261]) ).
fof(f261,plain,
! [X0,X1] :
( ? [X2] :
( rpoint(X2)
& ron(X2,X0) )
| ~ rcircle(X1)
| X0 != X1 ),
inference(ennf_transformation,[],[f136]) ).
fof(f136,plain,
! [X0,X1] :
( ( rcircle(X1)
& X0 = X1 )
=> ? [X2] :
( rpoint(X2)
& ron(X2,X0) ) ),
inference(rectify,[],[f96]) ).
fof(f96,axiom,
! [X564,X565] :
( ( rcircle(X565)
& X564 = X565 )
=> ? [X566] :
( rpoint(X566)
& ron(X566,X564) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(41), 0), imp(cond(axiom(41), 0)))') ).
fof(f1780,plain,
spl57_31,
inference(avatar_split_clause,[],[f927,f1778]) ).
fof(f927,plain,
! [X1] :
( rinside(sK14(X1),X1)
| ~ rcircle(X1) ),
inference(equality_resolution,[],[f649]) ).
fof(f649,plain,
! [X0,X1] :
( rinside(sK14(X0),X0)
| ~ rcircle(X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f492]) ).
fof(f492,plain,
! [X0,X1] :
( ( rpoint(sK14(X0))
& rinside(sK14(X0),X0) )
| ~ rcircle(X1)
| X0 != X1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f260,f491]) ).
fof(f491,plain,
! [X0] :
( ? [X2] :
( rpoint(X2)
& rinside(X2,X0) )
=> ( rpoint(sK14(X0))
& rinside(sK14(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f260,plain,
! [X0,X1] :
( ? [X2] :
( rpoint(X2)
& rinside(X2,X0) )
| ~ rcircle(X1)
| X0 != X1 ),
inference(flattening,[],[f259]) ).
fof(f259,plain,
! [X0,X1] :
( ? [X2] :
( rpoint(X2)
& rinside(X2,X0) )
| ~ rcircle(X1)
| X0 != X1 ),
inference(ennf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0,X1] :
( ( rcircle(X1)
& X0 = X1 )
=> ? [X2] :
( rpoint(X2)
& rinside(X2,X0) ) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
! [X71,X72] :
( ( rcircle(X72)
& X71 = X72 )
=> ? [X73] :
( rpoint(X73)
& rinside(X73,X71) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(47), 0), imp(cond(axiom(47), 0)))') ).
fof(f1776,plain,
spl57_30,
inference(avatar_split_clause,[],[f925,f1774]) ).
fof(f1774,plain,
( spl57_30
<=> ! [X1] :
( ~ ron(sK13(X1),X1)
| ~ rcircle(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_30])]) ).
fof(f925,plain,
! [X1] :
( ~ ron(sK13(X1),X1)
| ~ rcircle(X1) ),
inference(equality_resolution,[],[f646]) ).
fof(f646,plain,
! [X0,X1] :
( ~ ron(sK13(X0),X0)
| ~ rcircle(X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f490]) ).
fof(f490,plain,
! [X0,X1] :
( ( rpoint(sK13(X0))
& ~ rinside(sK13(X0),X0)
& ~ ron(sK13(X0),X0) )
| ~ rcircle(X1)
| X0 != X1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f258,f489]) ).
fof(f489,plain,
! [X0] :
( ? [X2] :
( rpoint(X2)
& ~ rinside(X2,X0)
& ~ ron(X2,X0) )
=> ( rpoint(sK13(X0))
& ~ rinside(sK13(X0),X0)
& ~ ron(sK13(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f258,plain,
! [X0,X1] :
( ? [X2] :
( rpoint(X2)
& ~ rinside(X2,X0)
& ~ ron(X2,X0) )
| ~ rcircle(X1)
| X0 != X1 ),
inference(flattening,[],[f257]) ).
fof(f257,plain,
! [X0,X1] :
( ? [X2] :
( rpoint(X2)
& ~ rinside(X2,X0)
& ~ ron(X2,X0) )
| ~ rcircle(X1)
| X0 != X1 ),
inference(ennf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0,X1] :
( ( rcircle(X1)
& X0 = X1 )
=> ? [X2] :
( rpoint(X2)
& ~ rinside(X2,X0)
& ~ ron(X2,X0) ) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X46,X47] :
( ( rcircle(X47)
& X46 = X47 )
=> ? [X48] :
( rpoint(X48)
& ~ rinside(X48,X46)
& ~ ron(X48,X46) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(49), 0), imp(cond(axiom(49), 0)))') ).
fof(f1772,plain,
spl57_29,
inference(avatar_split_clause,[],[f924,f1770]) ).
fof(f1770,plain,
( spl57_29
<=> ! [X1] :
( ~ rinside(sK13(X1),X1)
| ~ rcircle(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_29])]) ).
fof(f924,plain,
! [X1] :
( ~ rinside(sK13(X1),X1)
| ~ rcircle(X1) ),
inference(equality_resolution,[],[f647]) ).
fof(f647,plain,
! [X0,X1] :
( ~ rinside(sK13(X0),X0)
| ~ rcircle(X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f490]) ).
fof(f1768,plain,
spl57_28,
inference(avatar_split_clause,[],[f633,f1766]) ).
fof(f633,plain,
! [X0,X1] :
( rinside(X0,X1)
| ~ rcenter(X0,X1) ),
inference(cnf_transformation,[],[f247]) ).
fof(f247,plain,
! [X0,X1] :
( rinside(X0,X1)
| ~ rcenter(X0,X1) ),
inference(ennf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0,X1] :
( rcenter(X0,X1)
=> rinside(X0,X1) ),
inference(rectify,[],[f87]) ).
fof(f87,axiom,
! [X508,X509] :
( rcenter(X508,X509)
=> rinside(X508,X509) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))') ).
fof(f1764,plain,
spl57_27,
inference(avatar_split_clause,[],[f934,f1762]) ).
fof(f934,plain,
! [X1] :
( rpoint(sK17(X1))
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f658]) ).
fof(f658,plain,
! [X0,X1] :
( rpoint(sK17(X0))
| ~ rpoint(X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f498]) ).
fof(f1760,plain,
spl57_26,
inference(avatar_split_clause,[],[f932,f1758]) ).
fof(f932,plain,
! [X1] :
( rpoint(sK16(X1))
| ~ rline(X1) ),
inference(equality_resolution,[],[f656]) ).
fof(f656,plain,
! [X0,X1] :
( rpoint(sK16(X0))
| ~ rline(X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f496]) ).
fof(f1756,plain,
spl57_25,
inference(avatar_split_clause,[],[f930,f1754]) ).
fof(f1754,plain,
( spl57_25
<=> ! [X1] :
( ~ rless(X1,X1)
| ~ rreal(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_25])]) ).
fof(f930,plain,
! [X1] :
( ~ rless(X1,X1)
| ~ rreal(X1) ),
inference(equality_resolution,[],[f653]) ).
fof(f653,plain,
! [X0,X1] :
( ~ rless(X0,X0)
| ~ rreal(X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f264]) ).
fof(f264,plain,
! [X0,X1] :
( ~ rless(X0,X0)
| ~ rreal(X1)
| X0 != X1 ),
inference(flattening,[],[f263]) ).
fof(f263,plain,
! [X0,X1] :
( ~ rless(X0,X0)
| ~ rreal(X1)
| X0 != X1 ),
inference(ennf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0,X1] :
( ( rreal(X1)
& X0 = X1 )
=> ~ rless(X0,X0) ),
inference(rectify,[],[f35]) ).
fof(f35,axiom,
! [X109,X110] :
( ( rreal(X110)
& X109 = X110 )
=> ~ rless(X109,X109) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(149), 0), imp(cond(axiom(149), 0)))') ).
fof(f1752,plain,
spl57_24,
inference(avatar_split_clause,[],[f928,f1750]) ).
fof(f928,plain,
! [X1] :
( rpoint(sK15(X1))
| ~ rcircle(X1) ),
inference(equality_resolution,[],[f652]) ).
fof(f652,plain,
! [X0,X1] :
( rpoint(sK15(X0))
| ~ rcircle(X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f494]) ).
fof(f1748,plain,
spl57_23,
inference(avatar_split_clause,[],[f926,f1746]) ).
fof(f926,plain,
! [X1] :
( rpoint(sK14(X1))
| ~ rcircle(X1) ),
inference(equality_resolution,[],[f650]) ).
fof(f650,plain,
! [X0,X1] :
( rpoint(sK14(X0))
| ~ rcircle(X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f492]) ).
fof(f1744,plain,
spl57_22,
inference(avatar_split_clause,[],[f923,f1742]) ).
fof(f923,plain,
! [X1] :
( rpoint(sK13(X1))
| ~ rcircle(X1) ),
inference(equality_resolution,[],[f648]) ).
fof(f648,plain,
! [X0,X1] :
( rpoint(sK13(X0))
| ~ rcircle(X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f490]) ).
fof(f1740,plain,
spl57_21,
inference(avatar_split_clause,[],[f885,f1737]) ).
fof(f885,plain,
rS(sK8,vd1409,vd1407),
inference(definition_unfolding,[],[f613,f624,f617]) ).
fof(f617,plain,
vd1406 = vd1407,
inference(cnf_transformation,[],[f478]) ).
fof(f613,plain,
rS(vd1401,vd1409,vd1406),
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
rS(vd1401,vd1409,vd1406),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(406), 1410, 0)') ).
fof(f1735,plain,
spl57_20,
inference(avatar_split_clause,[],[f895,f1732]) ).
fof(f895,plain,
ron(sK6,vd1416),
inference(definition_unfolding,[],[f630,f628]) ).
fof(f630,plain,
ron(vd1399,vd1416),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( rline(vd1416)
& ron(vd1401,vd1416)
& ron(vd1399,vd1416) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(pred(s2(plural(the(408))), 0), and(pred(s1(plural(the(408))), 0), pred(the(408), 0)))') ).
fof(f1730,plain,
spl57_19,
inference(avatar_split_clause,[],[f894,f1727]) ).
fof(f894,plain,
ron(sK8,vd1416),
inference(definition_unfolding,[],[f631,f624]) ).
fof(f631,plain,
ron(vd1401,vd1416),
inference(cnf_transformation,[],[f3]) ).
fof(f1725,plain,
spl57_18,
inference(avatar_split_clause,[],[f893,f1722]) ).
fof(f893,plain,
ron(sK7,vd1407),
inference(definition_unfolding,[],[f618,f626,f617]) ).
fof(f618,plain,
ron(vd1400,vd1406),
inference(cnf_transformation,[],[f478]) ).
fof(f1720,plain,
spl57_17,
inference(avatar_split_clause,[],[f892,f1717]) ).
fof(f892,plain,
ron(sK6,vd1407),
inference(definition_unfolding,[],[f619,f628,f617]) ).
fof(f619,plain,
ron(vd1399,vd1406),
inference(cnf_transformation,[],[f478]) ).
fof(f1715,plain,
~ spl57_16,
inference(avatar_split_clause,[],[f891,f1712]) ).
fof(f891,plain,
sK7 != sK8,
inference(definition_unfolding,[],[f621,f624,f626]) ).
fof(f621,plain,
vd1401 != vd1400,
inference(cnf_transformation,[],[f478]) ).
fof(f1710,plain,
~ spl57_15,
inference(avatar_split_clause,[],[f890,f1707]) ).
fof(f890,plain,
sK6 != sK8,
inference(definition_unfolding,[],[f622,f628,f624]) ).
fof(f622,plain,
vd1399 != vd1401,
inference(cnf_transformation,[],[f478]) ).
fof(f1705,plain,
~ spl57_14,
inference(avatar_split_clause,[],[f889,f1702]) ).
fof(f1702,plain,
( spl57_14
<=> sK6 = sK7 ),
introduced(avatar_definition,[new_symbols(naming,[spl57_14])]) ).
fof(f889,plain,
sK6 != sK7,
inference(definition_unfolding,[],[f623,f628,f626]) ).
fof(f623,plain,
vd1399 != vd1400,
inference(cnf_transformation,[],[f478]) ).
fof(f1700,plain,
~ spl57_13,
inference(avatar_split_clause,[],[f884,f1697]) ).
fof(f1697,plain,
( spl57_13
<=> vd1409 = sK8 ),
introduced(avatar_definition,[new_symbols(naming,[spl57_13])]) ).
fof(f884,plain,
vd1409 != sK8,
inference(definition_unfolding,[],[f611,f624]) ).
fof(f611,plain,
vd1401 != vd1409,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
vd1401 != vd1409,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct2(conjunct2(conjunct2(406))), 1413, 0)') ).
fof(f1695,plain,
spl57_12,
inference(avatar_split_clause,[],[f632,f1692]) ).
fof(f632,plain,
rline(vd1416),
inference(cnf_transformation,[],[f3]) ).
fof(f1690,plain,
spl57_11,
inference(avatar_split_clause,[],[f629,f1687]) ).
fof(f629,plain,
rpoint(sK6),
inference(cnf_transformation,[],[f478]) ).
fof(f1685,plain,
spl57_10,
inference(avatar_split_clause,[],[f627,f1682]) ).
fof(f627,plain,
rpoint(sK7),
inference(cnf_transformation,[],[f478]) ).
fof(f1680,plain,
spl57_9,
inference(avatar_split_clause,[],[f625,f1677]) ).
fof(f625,plain,
rpoint(sK8),
inference(cnf_transformation,[],[f478]) ).
fof(f1675,plain,
spl57_8,
inference(avatar_split_clause,[],[f620,f1672]) ).
fof(f620,plain,
rline(vd1407),
inference(cnf_transformation,[],[f478]) ).
fof(f1670,plain,
spl57_7,
inference(avatar_split_clause,[],[f610,f1667]) ).
fof(f610,plain,
rpoint(vd1409),
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
rpoint(vd1409),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(406, 0)') ).
fof(f1665,plain,
spl57_6,
inference(avatar_split_clause,[],[f609,f1662]) ).
fof(f609,plain,
rpoint(vd14),
inference(cnf_transformation,[],[f114]) ).
fof(f114,axiom,
rpoint(vd14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(axiom(5), 0)') ).
fof(f1660,plain,
spl57_5,
inference(avatar_split_clause,[],[f608,f1657]) ).
fof(f608,plain,
rreal(vd684),
inference(cnf_transformation,[],[f59]) ).
fof(f59,axiom,
rreal(vd684),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(axiom(137), 1)') ).
fof(f1655,plain,
spl57_4,
inference(avatar_split_clause,[],[f883,f1652]) ).
fof(f883,plain,
ron(sK6,sK5),
inference(definition_unfolding,[],[f604,f628]) ).
fof(f604,plain,
ron(vd1399,sK5),
inference(cnf_transformation,[],[f474]) ).
fof(f474,plain,
( vd1416 != sK5
& rline(sK5)
& ron(vd1401,sK5)
& ron(vd1399,sK5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f246,f473]) ).
fof(f473,plain,
( ? [X0] :
( vd1416 != X0
& rline(X0)
& ron(vd1401,X0)
& ron(vd1399,X0) )
=> ( vd1416 != sK5
& rline(sK5)
& ron(vd1401,sK5)
& ron(vd1399,sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f246,plain,
? [X0] :
( vd1416 != X0
& rline(X0)
& ron(vd1401,X0)
& ron(vd1399,X0) ),
inference(flattening,[],[f245]) ).
fof(f245,plain,
? [X0] :
( vd1416 != X0
& rline(X0)
& ron(vd1401,X0)
& ron(vd1399,X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( rline(X0)
& ron(vd1401,X0)
& ron(vd1399,X0) )
=> vd1416 = X0 ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( rline(X0)
& ron(vd1401,X0)
& ron(vd1399,X0) )
=> vd1416 = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(theu(the(408), 1), imp(the(408)))') ).
fof(f1650,plain,
spl57_3,
inference(avatar_split_clause,[],[f882,f1647]) ).
fof(f882,plain,
ron(sK8,sK5),
inference(definition_unfolding,[],[f605,f624]) ).
fof(f605,plain,
ron(vd1401,sK5),
inference(cnf_transformation,[],[f474]) ).
fof(f1645,plain,
~ spl57_2,
inference(avatar_split_clause,[],[f607,f1642]) ).
fof(f607,plain,
vd1416 != sK5,
inference(cnf_transformation,[],[f474]) ).
fof(f1640,plain,
spl57_1,
inference(avatar_split_clause,[],[f606,f1637]) ).
fof(f606,plain,
rline(sK5),
inference(cnf_transformation,[],[f474]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GEO343+1 : TPTP v8.1.2. Released v4.1.0.
% 0.16/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.37 % Computer : n020.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Tue Apr 30 05:36:02 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.22/0.37 % (17922)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.40 % (17925)WARNING: value z3 for option sas not known
% 0.22/0.40 % (17923)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.40 % (17926)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.40 % (17924)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.40 % (17925)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)
% 0.22/0.40 % (17927)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)
% 0.22/0.40 % (17928)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)
% 0.22/0.40 % (17929)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)
% 0.22/0.46 Detected minimum model sizes of [3]
% 0.22/0.46 Detected maximum model sizes of [max]
% 0.22/0.46 Cannot represent all propositional literals internally
% 0.22/0.46 % (17923)Refutation not found, incomplete strategy% (17923)------------------------------
% 0.22/0.46 % (17923)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.46 % (17923)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.46
% 0.22/0.46 % (17923)Memory used [KB]: 2754
% 0.22/0.46 % (17923)Time elapsed: 0.061 s
% 0.22/0.46 % (17923)Instructions burned: 133 (million)
% 0.22/0.46 % (17923)------------------------------
% 0.22/0.46 % (17923)------------------------------
% 0.22/0.46 Detected minimum model sizes of [3]
% 0.22/0.46 Detected maximum model sizes of [max]
% 0.22/0.46 Cannot represent all propositional literals internally
% 0.22/0.46 % (17926)Refutation not found, incomplete strategy% (17926)------------------------------
% 0.22/0.46 % (17926)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.46 % (17926)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.46
% 0.22/0.46 % (17926)Memory used [KB]: 2901
% 0.22/0.46 % (17926)Time elapsed: 0.062 s
% 0.22/0.46 % (17926)Instructions burned: 134 (million)
% 0.22/0.46 % (17926)------------------------------
% 0.22/0.46 % (17926)------------------------------
% 0.22/0.48 % (17930)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.22/0.48 % (17931)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 0.22/0.51 Detected minimum model sizes of [3]
% 0.22/0.51 Detected maximum model sizes of [max]
% 0.22/0.51 Cannot represent all propositional literals internally
% 0.22/0.51 % (17930)Refutation not found, incomplete strategy% (17930)------------------------------
% 0.22/0.51 % (17930)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.51 % (17930)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.51
% 0.22/0.51 % (17930)Memory used [KB]: 2435
% 0.22/0.51 % (17930)Time elapsed: 0.040 s
% 0.22/0.51 % (17930)Instructions burned: 78 (million)
% 0.22/0.51 % (17930)------------------------------
% 0.22/0.51 % (17930)------------------------------
% 0.22/0.53 % (17941)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 7.86/1.52 Detected minimum model sizes of [3]
% 7.86/1.52 Detected maximum model sizes of [max]
% 7.86/1.52 Cannot represent all propositional literals internally
% 7.86/1.52 % (17924)Refutation not found, incomplete strategy% (17924)------------------------------
% 7.86/1.52 % (17924)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 7.86/1.52 % (17924)Termination reason: Refutation not found, incomplete strategy
% 7.86/1.52
% 7.86/1.52 % (17924)Memory used [KB]: 9929
% 7.86/1.52 % (17924)Time elapsed: 1.128 s
% 7.86/1.52 % (17924)Instructions burned: 2648 (million)
% 7.86/1.52 % (17924)------------------------------
% 7.86/1.52 % (17924)------------------------------
% 8.20/1.54 % (17942)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on theBenchmark for (354ds/0Mi)
% 10.97/1.98 % (17927)First to succeed.
% 11.41/2.03 % (17927)Refutation found. Thanks to Tanya!
% 11.41/2.03 % SZS status Theorem for theBenchmark
% 11.41/2.03 % SZS output start Proof for theBenchmark
% See solution above
% 11.41/2.06 % (17927)------------------------------
% 11.41/2.06 % (17927)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 11.41/2.06 % (17927)Termination reason: Refutation
% 11.41/2.06
% 11.41/2.06 % (17927)Memory used [KB]: 21363
% 11.41/2.06 % (17927)Time elapsed: 1.635 s
% 11.41/2.06 % (17927)Instructions burned: 5420 (million)
% 11.41/2.06 % (17927)------------------------------
% 11.41/2.06 % (17927)------------------------------
% 11.41/2.06 % (17922)Success in time 1.689 s
%------------------------------------------------------------------------------