TSTP Solution File: GEO272+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO272+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 : n005.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 11:15:10 EDT 2024
% Result : Theorem 10.30s 1.84s
% Output : Refutation 10.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 829
% Syntax : Number of formulae : 3389 ( 260 unt; 0 def)
% Number of atoms : 24159 (5784 equ)
% Maximal formula atoms : 57 ( 7 avg)
% Number of connectives : 37272 (16502 ~;17298 |;2522 &)
% ( 712 <=>; 238 =>; 0 <=; 0 <~>)
% Maximal formula depth : 77 ( 11 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 698 ( 696 usr; 681 prp; 0-17 aty)
% Number of functors : 60 ( 60 usr; 11 con; 0-17 aty)
% Number of variables : 13382 (12692 !; 690 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17747,plain,
$false,
inference(avatar_sat_refutation,[],[f1421,f1426,f1431,f1436,f1441,f1446,f1451,f1456,f1461,f1466,f1471,f1476,f1481,f1486,f1491,f1495,f1499,f1503,f1507,f1511,f1515,f1519,f1523,f1527,f1531,f1535,f1539,f1543,f1551,f1555,f1559,f1563,f1567,f1571,f1575,f1579,f1583,f1601,f1605,f1609,f1613,f1618,f1622,f1626,f1630,f1634,f1638,f1642,f1646,f1650,f1654,f1658,f1663,f1667,f1678,f1685,f1689,f1694,f1698,f1702,f1706,f1710,f1714,f1718,f1740,f1744,f1748,f1752,f1756,f1760,f1764,f1768,f1773,f1777,f1781,f1785,f1789,f1793,f1797,f1801,f1805,f1809,f1814,f1818,f1822,f1899,f1911,f1915,f1919,f1923,f1927,f1931,f1935,f1939,f1944,f1948,f1952,f1956,f1960,f1964,f1968,f1972,f1976,f1980,f1985,f1989,f1993,f1997,f2001,f2005,f2009,f2013,f2024,f2029,f2033,f2037,f2041,f2045,f2049,f2053,f2058,f2062,f2079,f2083,f2088,f2092,f2101,f2105,f2109,f2113,f2117,f2146,f2207,f2211,f2221,f2225,f2229,f2247,f2251,f2255,f2259,f2263,f2267,f2271,f2286,f2290,f2294,f2298,f2307,f2311,f2315,f2393,f2397,f2401,f2405,f2409,f2413,f2417,f2421,f2425,f2429,f2456,f2460,f2468,f2472,f2476,f2480,f2484,f2488,f2492,f2496,f2632,f2636,f2675,f2679,f2683,f2687,f2691,f2695,f2702,f2710,f2715,f2716,f2717,f2791,f2819,f2828,f2837,f2862,f2866,f2871,f2875,f2891,f2896,f2900,f2904,f2929,f2933,f2938,f2942,f2946,f2950,f2954,f2958,f2962,f2968,f2972,f2976,f2980,f3003,f3009,f3014,f3023,f3028,f3062,f3438,f3442,f3468,f3472,f3476,f3480,f3485,f3556,f3560,f3564,f3568,f3572,f3576,f3580,f3584,f3588,f3592,f3596,f3600,f3604,f3608,f3647,f3795,f3800,f3804,f3808,f3812,f3904,f3908,f3912,f3917,f3921,f3925,f3937,f3941,f3945,f3955,f3959,f3963,f3967,f3971,f3975,f3979,f3983,f3987,f3991,f4001,f4005,f4009,f4013,f4017,f4021,f4025,f4029,f4033,f4037,f4047,f4051,f4112,f4337,f4495,f4521,f4531,f4535,f4539,f4543,f4547,f4551,f4555,f4559,f4563,f4567,f4577,f4597,f4625,f4629,f4633,f4637,f4641,f4645,f4649,f4653,f4657,f4661,f4665,f4669,f4673,f4677,f4681,f4685,f4689,f4693,f4719,f4723,f4727,f4731,f4735,f4739,f4743,f4747,f4751,f4755,f4760,f4764,f4888,f5057,f5229,f5233,f5237,f5251,f5262,f5269,f5273,f5277,f5281,f5285,f5289,f5293,f5297,f5301,f5305,f5309,f5313,f5317,f5321,f5325,f5329,f5333,f5337,f5341,f5345,f5439,f5452,f5457,f5461,f5465,f5469,f5473,f5477,f5481,f5485,f5538,f5628,f5632,f5636,f5640,f5644,f5648,f5652,f5656,f5662,f5666,f5714,f5718,f5722,f5726,f5730,f5734,f5816,f5820,f5824,f5857,f5861,f5948,f5952,f5956,f5960,f5964,f5968,f5972,f5976,f5983,f5992,f5996,f6044,f6048,f6052,f6056,f6060,f6064,f6068,f6072,f6076,f6080,f6084,f6096,f6100,f6104,f6108,f6112,f6116,f6120,f6124,f6204,f6216,f6220,f6224,f6228,f6232,f6236,f6240,f6244,f6248,f6252,f6256,f6260,f6264,f6268,f6272,f6276,f6280,f6284,f6288,f6292,f6296,f6304,f6308,f6312,f6316,f6321,f6325,f6330,f6344,f6370,f6375,f6382,f6405,f6431,f6464,f6469,f7106,f7815,f7819,f7823,f7828,f7839,f7843,f7847,f7851,f7855,f7859,f7900,f8018,f8022,f8107,f8149,f8154,f8158,f8162,f8268,f8272,f8276,f8281,f8285,f8289,f8382,f8386,f8390,f8395,f8399,f8403,f8463,f8467,f8471,f8476,f8492,f8496,f8546,f8550,f8555,f8559,f8572,f8618,f8664,f8717,f8769,f8773,f8799,f8851,f8906,f8910,f8917,f8939,f8940,f8941,f8942,f9227,f9330,f9433,f9544,f9635,f9753,f9880,f9979,f10250,f10288,f10335,f10339,f10357,f10365,f10376,f10381,f10520,f10783,f10920,f10956,f10960,f11245,f11580,f11619,f11623,f11699,f11703,f11708,f11712,f11716,f11720,f11724,f11728,f11736,f11989,f11993,f11997,f12001,f12012,f12016,f12020,f12024,f12028,f12817,f12823,f12827,f12831,f12835,f12839,f12843,f13084,f13088,f13092,f13096,f13100,f13104,f13143,f13147,f13151,f13155,f13159,f13163,f13267,f13290,f13547,f13556,f13560,f13564,f13781,f13785,f13975,f13979,f13983,f13987,f13991,f13997,f14259,f14263,f14267,f14271,f14369,f14561,f14565,f14569,f14573,f14577,f14581,f14588,f14592,f14596,f14600,f14604,f14608,f14612,f14616,f14620,f14624,f14631,f14635,f14639,f14643,f14647,f14651,f14655,f14659,f14663,f14667,f14672,f14676,f14680,f14684,f14688,f14692,f14696,f14700,f14704,f15444,f15474,f15478,f15482,f15486,f15490,f15494,f15499,f15503,f15507,f15511,f15515,f15519,f15523,f15527,f15531,f15535,f15539,f15546,f15550,f15554,f15558,f15562,f15566,f15570,f15574,f15578,f15582,f15589,f15593,f15597,f15601,f15605,f15770,f15774,f15778,f15782,f15786,f15790,f15794,f15798,f15802,f15806,f15892,f17626,f17630,f17634,f17640,f17655,f17709,f17713,f17717,f17721,f17725,f17729,f17733,f17737,f17741,f17745,f17746]) ).
fof(f17746,plain,
( ~ spl51_13
| ~ spl51_8
| ~ spl51_4
| ~ spl51_669 ),
inference(avatar_split_clause,[],[f17676,f17638,f1433,f1453,f1478]) ).
fof(f1478,plain,
( spl51_13
<=> ron(vd1056,vd1063) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_13])]) ).
fof(f1453,plain,
( spl51_8
<=> rpoint(vd1056) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_8])]) ).
fof(f1433,plain,
( spl51_4
<=> ron(vd1056,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_4])]) ).
fof(f17638,plain,
( spl51_669
<=> ! [X0] :
( ~ rpoint(X0)
| ~ ron(X0,sK5)
| ~ ron(X0,vd1063) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_669])]) ).
fof(f17676,plain,
( ~ rpoint(vd1056)
| ~ ron(vd1056,vd1063)
| ~ spl51_4
| ~ spl51_669 ),
inference(resolution,[],[f17639,f1435]) ).
fof(f1435,plain,
( ron(vd1056,sK5)
| ~ spl51_4 ),
inference(avatar_component_clause,[],[f1433]) ).
fof(f17639,plain,
( ! [X0] :
( ~ ron(X0,sK5)
| ~ rpoint(X0)
| ~ ron(X0,vd1063) )
| ~ spl51_669 ),
inference(avatar_component_clause,[],[f17638]) ).
fof(f17745,plain,
( spl51_680
| ~ spl51_103
| ~ spl51_146 ),
inference(avatar_split_clause,[],[f2381,f2288,f1974,f17743]) ).
fof(f17743,plain,
( spl51_680
<=> ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK26(X0,X2))
| ~ ron(X1,X0)
| rpoint(sK22(X1,sK26(X0,X2)))
| sK26(X0,X2) = X1
| ~ rline(X2)
| ~ rintersect(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_680])]) ).
fof(f1974,plain,
( spl51_103
<=> ! [X1,X3] :
( ron(sK26(X1,X3),X1)
| ~ rline(X1)
| ~ rline(X3)
| ~ rintersect(X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_103])]) ).
fof(f2288,plain,
( spl51_146
<=> ! [X6,X5,X1] :
( rpoint(sK22(X5,X6))
| ~ rline(X1)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ ron(X5,X1)
| ~ ron(X6,X1)
| X5 = X6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_146])]) ).
fof(f2381,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK26(X0,X2))
| ~ ron(X1,X0)
| rpoint(sK22(X1,sK26(X0,X2)))
| sK26(X0,X2) = X1
| ~ rline(X2)
| ~ rintersect(X0,X2) )
| ~ spl51_103
| ~ spl51_146 ),
inference(duplicate_literal_removal,[],[f2363]) ).
fof(f2363,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK26(X0,X2))
| ~ ron(X1,X0)
| rpoint(sK22(X1,sK26(X0,X2)))
| sK26(X0,X2) = X1
| ~ rline(X0)
| ~ rline(X2)
| ~ rintersect(X0,X2) )
| ~ spl51_103
| ~ spl51_146 ),
inference(resolution,[],[f2289,f1975]) ).
fof(f1975,plain,
( ! [X3,X1] :
( ron(sK26(X1,X3),X1)
| ~ rline(X1)
| ~ rline(X3)
| ~ rintersect(X1,X3) )
| ~ spl51_103 ),
inference(avatar_component_clause,[],[f1974]) ).
fof(f2289,plain,
( ! [X1,X6,X5] :
( ~ ron(X6,X1)
| ~ rline(X1)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ ron(X5,X1)
| rpoint(sK22(X5,X6))
| X5 = X6 )
| ~ spl51_146 ),
inference(avatar_component_clause,[],[f2288]) ).
fof(f17741,plain,
( spl51_679
| ~ spl51_104
| ~ spl51_146 ),
inference(avatar_split_clause,[],[f2380,f2288,f1978,f17739]) ).
fof(f17739,plain,
( spl51_679
<=> ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK26(X2,X0))
| ~ ron(X1,X0)
| rpoint(sK22(X1,sK26(X2,X0)))
| sK26(X2,X0) = X1
| ~ rline(X2)
| ~ rintersect(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_679])]) ).
fof(f1978,plain,
( spl51_104
<=> ! [X1,X3] :
( ron(sK26(X1,X3),X3)
| ~ rline(X1)
| ~ rline(X3)
| ~ rintersect(X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_104])]) ).
fof(f2380,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK26(X2,X0))
| ~ ron(X1,X0)
| rpoint(sK22(X1,sK26(X2,X0)))
| sK26(X2,X0) = X1
| ~ rline(X2)
| ~ rintersect(X2,X0) )
| ~ spl51_104
| ~ spl51_146 ),
inference(duplicate_literal_removal,[],[f2364]) ).
fof(f2364,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK26(X2,X0))
| ~ ron(X1,X0)
| rpoint(sK22(X1,sK26(X2,X0)))
| sK26(X2,X0) = X1
| ~ rline(X2)
| ~ rline(X0)
| ~ rintersect(X2,X0) )
| ~ spl51_104
| ~ spl51_146 ),
inference(resolution,[],[f2289,f1979]) ).
fof(f1979,plain,
( ! [X3,X1] :
( ron(sK26(X1,X3),X3)
| ~ rline(X1)
| ~ rline(X3)
| ~ rintersect(X1,X3) )
| ~ spl51_104 ),
inference(avatar_component_clause,[],[f1978]) ).
fof(f17737,plain,
( spl51_678
| ~ spl51_105
| ~ spl51_146 ),
inference(avatar_split_clause,[],[f2379,f2288,f1983,f17735]) ).
fof(f17735,plain,
( spl51_678
<=> ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK27(X2,X0))
| ~ ron(X1,X0)
| rpoint(sK22(X1,sK27(X2,X0)))
| sK27(X2,X0) = X1
| ~ rcircle(X2)
| ~ rintersect(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_678])]) ).
fof(f1983,plain,
( spl51_105
<=> ! [X1,X3] :
( ron(sK27(X1,X3),X3)
| ~ rcircle(X1)
| ~ rline(X3)
| ~ rintersect(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_105])]) ).
fof(f2379,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK27(X2,X0))
| ~ ron(X1,X0)
| rpoint(sK22(X1,sK27(X2,X0)))
| sK27(X2,X0) = X1
| ~ rcircle(X2)
| ~ rintersect(X0,X2) )
| ~ spl51_105
| ~ spl51_146 ),
inference(duplicate_literal_removal,[],[f2365]) ).
fof(f2365,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK27(X2,X0))
| ~ ron(X1,X0)
| rpoint(sK22(X1,sK27(X2,X0)))
| sK27(X2,X0) = X1
| ~ rcircle(X2)
| ~ rline(X0)
| ~ rintersect(X0,X2) )
| ~ spl51_105
| ~ spl51_146 ),
inference(resolution,[],[f2289,f1984]) ).
fof(f1984,plain,
( ! [X3,X1] :
( ron(sK27(X1,X3),X3)
| ~ rcircle(X1)
| ~ rline(X3)
| ~ rintersect(X3,X1) )
| ~ spl51_105 ),
inference(avatar_component_clause,[],[f1983]) ).
fof(f17733,plain,
( spl51_677
| ~ spl51_109
| ~ spl51_146 ),
inference(avatar_split_clause,[],[f2378,f2288,f1999,f17731]) ).
fof(f17731,plain,
( spl51_677
<=> ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK31(X0,X2))
| ~ ron(X1,X0)
| rpoint(sK22(X1,sK31(X0,X2)))
| sK31(X0,X2) = X1
| ~ rpoint(X2)
| ~ ron(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_677])]) ).
fof(f1999,plain,
( spl51_109
<=> ! [X1,X3] :
( ron(sK31(X1,X3),X1)
| ~ rline(X1)
| ~ rpoint(X3)
| ~ ron(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_109])]) ).
fof(f2378,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK31(X0,X2))
| ~ ron(X1,X0)
| rpoint(sK22(X1,sK31(X0,X2)))
| sK31(X0,X2) = X1
| ~ rpoint(X2)
| ~ ron(X2,X0) )
| ~ spl51_109
| ~ spl51_146 ),
inference(duplicate_literal_removal,[],[f2373]) ).
fof(f2373,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK31(X0,X2))
| ~ ron(X1,X0)
| rpoint(sK22(X1,sK31(X0,X2)))
| sK31(X0,X2) = X1
| ~ rline(X0)
| ~ rpoint(X2)
| ~ ron(X2,X0) )
| ~ spl51_109
| ~ spl51_146 ),
inference(resolution,[],[f2289,f2000]) ).
fof(f2000,plain,
( ! [X3,X1] :
( ron(sK31(X1,X3),X1)
| ~ rline(X1)
| ~ rpoint(X3)
| ~ ron(X3,X1) )
| ~ spl51_109 ),
inference(avatar_component_clause,[],[f1999]) ).
fof(f17729,plain,
( spl51_676
| ~ spl51_103
| ~ spl51_145 ),
inference(avatar_split_clause,[],[f2346,f2284,f1974,f17727]) ).
fof(f17727,plain,
( spl51_676
<=> ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK26(X0,X2))
| ~ ron(X1,X0)
| rpoint(sK21(X1,sK26(X0,X2)))
| sK26(X0,X2) = X1
| ~ rline(X2)
| ~ rintersect(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_676])]) ).
fof(f2284,plain,
( spl51_145
<=> ! [X6,X5,X1] :
( rpoint(sK21(X5,X6))
| ~ rline(X1)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ ron(X5,X1)
| ~ ron(X6,X1)
| X5 = X6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_145])]) ).
fof(f2346,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK26(X0,X2))
| ~ ron(X1,X0)
| rpoint(sK21(X1,sK26(X0,X2)))
| sK26(X0,X2) = X1
| ~ rline(X2)
| ~ rintersect(X0,X2) )
| ~ spl51_103
| ~ spl51_145 ),
inference(duplicate_literal_removal,[],[f2328]) ).
fof(f2328,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK26(X0,X2))
| ~ ron(X1,X0)
| rpoint(sK21(X1,sK26(X0,X2)))
| sK26(X0,X2) = X1
| ~ rline(X0)
| ~ rline(X2)
| ~ rintersect(X0,X2) )
| ~ spl51_103
| ~ spl51_145 ),
inference(resolution,[],[f2285,f1975]) ).
fof(f2285,plain,
( ! [X1,X6,X5] :
( ~ ron(X6,X1)
| ~ rline(X1)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ ron(X5,X1)
| rpoint(sK21(X5,X6))
| X5 = X6 )
| ~ spl51_145 ),
inference(avatar_component_clause,[],[f2284]) ).
fof(f17725,plain,
( spl51_675
| ~ spl51_104
| ~ spl51_145 ),
inference(avatar_split_clause,[],[f2345,f2284,f1978,f17723]) ).
fof(f17723,plain,
( spl51_675
<=> ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK26(X2,X0))
| ~ ron(X1,X0)
| rpoint(sK21(X1,sK26(X2,X0)))
| sK26(X2,X0) = X1
| ~ rline(X2)
| ~ rintersect(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_675])]) ).
fof(f2345,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK26(X2,X0))
| ~ ron(X1,X0)
| rpoint(sK21(X1,sK26(X2,X0)))
| sK26(X2,X0) = X1
| ~ rline(X2)
| ~ rintersect(X2,X0) )
| ~ spl51_104
| ~ spl51_145 ),
inference(duplicate_literal_removal,[],[f2329]) ).
fof(f2329,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK26(X2,X0))
| ~ ron(X1,X0)
| rpoint(sK21(X1,sK26(X2,X0)))
| sK26(X2,X0) = X1
| ~ rline(X2)
| ~ rline(X0)
| ~ rintersect(X2,X0) )
| ~ spl51_104
| ~ spl51_145 ),
inference(resolution,[],[f2285,f1979]) ).
fof(f17721,plain,
( spl51_674
| ~ spl51_105
| ~ spl51_145 ),
inference(avatar_split_clause,[],[f2344,f2284,f1983,f17719]) ).
fof(f17719,plain,
( spl51_674
<=> ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK27(X2,X0))
| ~ ron(X1,X0)
| rpoint(sK21(X1,sK27(X2,X0)))
| sK27(X2,X0) = X1
| ~ rcircle(X2)
| ~ rintersect(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_674])]) ).
fof(f2344,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK27(X2,X0))
| ~ ron(X1,X0)
| rpoint(sK21(X1,sK27(X2,X0)))
| sK27(X2,X0) = X1
| ~ rcircle(X2)
| ~ rintersect(X0,X2) )
| ~ spl51_105
| ~ spl51_145 ),
inference(duplicate_literal_removal,[],[f2330]) ).
fof(f2330,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK27(X2,X0))
| ~ ron(X1,X0)
| rpoint(sK21(X1,sK27(X2,X0)))
| sK27(X2,X0) = X1
| ~ rcircle(X2)
| ~ rline(X0)
| ~ rintersect(X0,X2) )
| ~ spl51_105
| ~ spl51_145 ),
inference(resolution,[],[f2285,f1984]) ).
fof(f17717,plain,
( spl51_673
| ~ spl51_109
| ~ spl51_145 ),
inference(avatar_split_clause,[],[f2343,f2284,f1999,f17715]) ).
fof(f17715,plain,
( spl51_673
<=> ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK31(X0,X2))
| ~ ron(X1,X0)
| rpoint(sK21(X1,sK31(X0,X2)))
| sK31(X0,X2) = X1
| ~ rpoint(X2)
| ~ ron(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_673])]) ).
fof(f2343,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK31(X0,X2))
| ~ ron(X1,X0)
| rpoint(sK21(X1,sK31(X0,X2)))
| sK31(X0,X2) = X1
| ~ rpoint(X2)
| ~ ron(X2,X0) )
| ~ spl51_109
| ~ spl51_145 ),
inference(duplicate_literal_removal,[],[f2338]) ).
fof(f2338,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK31(X0,X2))
| ~ ron(X1,X0)
| rpoint(sK21(X1,sK31(X0,X2)))
| sK31(X0,X2) = X1
| ~ rline(X0)
| ~ rpoint(X2)
| ~ ron(X2,X0) )
| ~ spl51_109
| ~ spl51_145 ),
inference(resolution,[],[f2285,f2000]) ).
fof(f17713,plain,
( spl51_672
| ~ spl51_71
| ~ spl51_136 ),
inference(avatar_split_clause,[],[f2240,f2223,f1762,f17711]) ).
fof(f17711,plain,
( spl51_672
<=> ! [X0,X3,X2,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ~ rpoint(X3)
| vf(X3,sK41(X0,X1,X2)) = sK18(X3,sK41(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_672])]) ).
fof(f1762,plain,
( spl51_71
<=> ! [X4,X3] :
( vf(X3,X4) = sK18(X3,X4)
| ~ rpoint(X3)
| ~ rpoint(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_71])]) ).
fof(f2223,plain,
( spl51_136
<=> ! [X5,X1,X3] :
( rpoint(sK41(X1,X3,X5))
| ~ rline(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ ron(X3,X1)
| ~ ron(X5,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_136])]) ).
fof(f2240,plain,
( ! [X2,X3,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ~ rpoint(X3)
| vf(X3,sK41(X0,X1,X2)) = sK18(X3,sK41(X0,X1,X2)) )
| ~ spl51_71
| ~ spl51_136 ),
inference(resolution,[],[f2224,f1763]) ).
fof(f1763,plain,
( ! [X3,X4] :
( ~ rpoint(X4)
| ~ rpoint(X3)
| vf(X3,X4) = sK18(X3,X4) )
| ~ spl51_71 ),
inference(avatar_component_clause,[],[f1762]) ).
fof(f2224,plain,
( ! [X3,X1,X5] :
( rpoint(sK41(X1,X3,X5))
| ~ rline(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ ron(X3,X1)
| ~ ron(X5,X1) )
| ~ spl51_136 ),
inference(avatar_component_clause,[],[f2223]) ).
fof(f17709,plain,
( spl51_671
| ~ spl51_70
| ~ spl51_136 ),
inference(avatar_split_clause,[],[f2239,f2223,f1758,f17707]) ).
fof(f17707,plain,
( spl51_671
<=> ! [X0,X3,X2,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ~ rpoint(X3)
| vf(sK41(X0,X1,X2),X3) = vf(X3,sK41(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_671])]) ).
fof(f1758,plain,
( spl51_70
<=> ! [X2,X3] :
( vf(X3,X2) = vf(X2,X3)
| ~ rpoint(X2)
| ~ rpoint(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_70])]) ).
fof(f2239,plain,
( ! [X2,X3,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ~ rpoint(X3)
| vf(sK41(X0,X1,X2),X3) = vf(X3,sK41(X0,X1,X2)) )
| ~ spl51_70
| ~ spl51_136 ),
inference(resolution,[],[f2224,f1759]) ).
fof(f1759,plain,
( ! [X2,X3] :
( ~ rpoint(X3)
| ~ rpoint(X2)
| vf(X3,X2) = vf(X2,X3) )
| ~ spl51_70 ),
inference(avatar_component_clause,[],[f1758]) ).
fof(f17655,plain,
( spl51_670
| ~ spl51_23
| ~ spl51_459 ),
inference(avatar_split_clause,[],[f7892,f7845,f1521,f17653]) ).
fof(f17653,plain,
( spl51_670
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK10(X1))
| sK10(X1) = X0
| ~ rline(X2)
| ~ rline(X1)
| ~ ron(X0,X2)
| ~ ron(X0,X1)
| ~ ron(sK10(X1),X2)
| X1 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_670])]) ).
fof(f1521,plain,
( spl51_23
<=> ! [X1] :
( ron(sK10(X1),X1)
| ~ rline(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_23])]) ).
fof(f7845,plain,
( spl51_459
<=> ! [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,[spl51_459])]) ).
fof(f7892,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK10(X1))
| sK10(X1) = X0
| ~ rline(X2)
| ~ rline(X1)
| ~ ron(X0,X2)
| ~ ron(X0,X1)
| ~ ron(sK10(X1),X2)
| X1 = X2 )
| ~ spl51_23
| ~ spl51_459 ),
inference(duplicate_literal_removal,[],[f7866]) ).
fof(f7866,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK10(X1))
| sK10(X1) = X0
| ~ rline(X2)
| ~ rline(X1)
| ~ ron(X0,X2)
| ~ ron(X0,X1)
| ~ ron(sK10(X1),X2)
| X1 = X2
| ~ rline(X1) )
| ~ spl51_23
| ~ spl51_459 ),
inference(resolution,[],[f7846,f1522]) ).
fof(f1522,plain,
( ! [X1] :
( ron(sK10(X1),X1)
| ~ rline(X1) )
| ~ spl51_23 ),
inference(avatar_component_clause,[],[f1521]) ).
fof(f7846,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 )
| ~ spl51_459 ),
inference(avatar_component_clause,[],[f7845]) ).
fof(f17640,plain,
( spl51_2
| spl51_669
| ~ spl51_12
| ~ spl51_445 ),
inference(avatar_split_clause,[],[f6377,f6368,f1473,f17638,f1423]) ).
fof(f1423,plain,
( spl51_2
<=> vd1063 = sK5 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_2])]) ).
fof(f1473,plain,
( spl51_12
<=> rcenter(vd1058,vd1063) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_12])]) ).
fof(f6368,plain,
( spl51_445
<=> ! [X0,X1] :
( ~ rcenter(vd1058,X0)
| ~ rpoint(X1)
| ~ ron(X1,X0)
| ~ ron(X1,sK5)
| sK5 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_445])]) ).
fof(f6377,plain,
( ! [X0] :
( ~ rpoint(X0)
| ~ ron(X0,vd1063)
| ~ ron(X0,sK5)
| vd1063 = sK5 )
| ~ spl51_12
| ~ spl51_445 ),
inference(resolution,[],[f6369,f1475]) ).
fof(f1475,plain,
( rcenter(vd1058,vd1063)
| ~ spl51_12 ),
inference(avatar_component_clause,[],[f1473]) ).
fof(f6369,plain,
( ! [X0,X1] :
( ~ rcenter(vd1058,X0)
| ~ rpoint(X1)
| ~ ron(X1,X0)
| ~ ron(X1,sK5)
| sK5 = X0 )
| ~ spl51_445 ),
inference(avatar_component_clause,[],[f6368]) ).
fof(f17634,plain,
( spl51_668
| ~ spl51_103
| ~ spl51_175 ),
inference(avatar_split_clause,[],[f2667,f2634,f1974,f17632]) ).
fof(f17632,plain,
( spl51_668
<=> ! [X0,X3,X2,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK26(X0,X3))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| rpoint(sK37(X0,X1,X2))
| ~ rline(X3)
| ~ rintersect(X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_668])]) ).
fof(f2634,plain,
( spl51_175
<=> ! [X7,X8,X6,X1] :
( rpoint(sK37(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,[spl51_175])]) ).
fof(f2667,plain,
( ! [X2,X3,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK26(X0,X3))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| rpoint(sK37(X0,X1,X2))
| ~ rline(X3)
| ~ rintersect(X0,X3) )
| ~ spl51_103
| ~ spl51_175 ),
inference(duplicate_literal_removal,[],[f2649]) ).
fof(f2649,plain,
( ! [X2,X3,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK26(X0,X3))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| rpoint(sK37(X0,X1,X2))
| ~ rline(X0)
| ~ rline(X3)
| ~ rintersect(X0,X3) )
| ~ spl51_103
| ~ spl51_175 ),
inference(resolution,[],[f2635,f1975]) ).
fof(f2635,plain,
( ! [X1,X8,X6,X7] :
( ~ ron(X8,X1)
| ~ rline(X1)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ ron(X6,X1)
| ~ ron(X7,X1)
| rpoint(sK37(X1,X6,X7)) )
| ~ spl51_175 ),
inference(avatar_component_clause,[],[f2634]) ).
fof(f17630,plain,
( spl51_667
| ~ spl51_104
| ~ spl51_175 ),
inference(avatar_split_clause,[],[f2666,f2634,f1978,f17628]) ).
fof(f17628,plain,
( spl51_667
<=> ! [X0,X3,X2,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK26(X3,X0))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| rpoint(sK37(X0,X1,X2))
| ~ rline(X3)
| ~ rintersect(X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_667])]) ).
fof(f2666,plain,
( ! [X2,X3,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK26(X3,X0))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| rpoint(sK37(X0,X1,X2))
| ~ rline(X3)
| ~ rintersect(X3,X0) )
| ~ spl51_104
| ~ spl51_175 ),
inference(duplicate_literal_removal,[],[f2650]) ).
fof(f2650,plain,
( ! [X2,X3,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK26(X3,X0))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| rpoint(sK37(X0,X1,X2))
| ~ rline(X3)
| ~ rline(X0)
| ~ rintersect(X3,X0) )
| ~ spl51_104
| ~ spl51_175 ),
inference(resolution,[],[f2635,f1979]) ).
fof(f17626,plain,
( spl51_666
| ~ spl51_105
| ~ spl51_175 ),
inference(avatar_split_clause,[],[f2665,f2634,f1983,f17624]) ).
fof(f17624,plain,
( spl51_666
<=> ! [X0,X3,X2,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK27(X3,X0))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| rpoint(sK37(X0,X1,X2))
| ~ rcircle(X3)
| ~ rintersect(X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_666])]) ).
fof(f2665,plain,
( ! [X2,X3,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK27(X3,X0))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| rpoint(sK37(X0,X1,X2))
| ~ rcircle(X3)
| ~ rintersect(X0,X3) )
| ~ spl51_105
| ~ spl51_175 ),
inference(duplicate_literal_removal,[],[f2651]) ).
fof(f2651,plain,
( ! [X2,X3,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK27(X3,X0))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| rpoint(sK37(X0,X1,X2))
| ~ rcircle(X3)
| ~ rline(X0)
| ~ rintersect(X0,X3) )
| ~ spl51_105
| ~ spl51_175 ),
inference(resolution,[],[f2635,f1984]) ).
fof(f15892,plain,
( spl51_665
| ~ spl51_1
| ~ spl51_388 ),
inference(avatar_split_clause,[],[f6299,f5958,f1418,f15889]) ).
fof(f15889,plain,
( spl51_665
<=> vd684 = vg(sK11(sK5),sK11(sK5),sK15(sK5,vskolem1061)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_665])]) ).
fof(f1418,plain,
( spl51_1
<=> rcircle(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_1])]) ).
fof(f5958,plain,
( spl51_388
<=> ! [X0] :
( vd684 = vg(sK11(X0),sK11(X0),sK15(sK5,vskolem1061))
| ~ rcircle(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_388])]) ).
fof(f6299,plain,
( vd684 = vg(sK11(sK5),sK11(sK5),sK15(sK5,vskolem1061))
| ~ spl51_1
| ~ spl51_388 ),
inference(resolution,[],[f5959,f1420]) ).
fof(f1420,plain,
( rcircle(sK5)
| ~ spl51_1 ),
inference(avatar_component_clause,[],[f1418]) ).
fof(f5959,plain,
( ! [X0] :
( ~ rcircle(X0)
| vd684 = vg(sK11(X0),sK11(X0),sK15(sK5,vskolem1061)) )
| ~ spl51_388 ),
inference(avatar_component_clause,[],[f5958]) ).
fof(f15806,plain,
( spl51_664
| ~ spl51_23
| ~ spl51_460 ),
inference(avatar_split_clause,[],[f7933,f7849,f1521,f15804]) ).
fof(f15804,plain,
( spl51_664
<=> ! [X2,X0,X1] :
( vd684 = vg(X0,X1,sK10(X2))
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(sK10(X2))
| ~ rline(X2)
| X0 = X1
| ~ ron(X0,X2)
| ~ ron(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_664])]) ).
fof(f7849,plain,
( spl51_460
<=> ! [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,[spl51_460])]) ).
fof(f7933,plain,
( ! [X2,X0,X1] :
( vd684 = vg(X0,X1,sK10(X2))
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(sK10(X2))
| ~ rline(X2)
| X0 = X1
| ~ ron(X0,X2)
| ~ ron(X1,X2) )
| ~ spl51_23
| ~ spl51_460 ),
inference(duplicate_literal_removal,[],[f7907]) ).
fof(f7907,plain,
( ! [X2,X0,X1] :
( vd684 = vg(X0,X1,sK10(X2))
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(sK10(X2))
| ~ rline(X2)
| X0 = X1
| ~ ron(X0,X2)
| ~ ron(X1,X2)
| ~ rline(X2) )
| ~ spl51_23
| ~ spl51_460 ),
inference(resolution,[],[f7850,f1522]) ).
fof(f7850,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) )
| ~ spl51_460 ),
inference(avatar_component_clause,[],[f7849]) ).
fof(f15802,plain,
( spl51_663
| ~ spl51_46
| ~ spl51_177 ),
inference(avatar_split_clause,[],[f7795,f2677,f1632,f15800]) ).
fof(f15800,plain,
( spl51_663
<=> ! [X0,X3,X2,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK29(X0,X3))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ron(sK37(X0,X1,X2),X0)
| ~ sP1(X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_663])]) ).
fof(f1632,plain,
( spl51_46
<=> ! [X0,X1] :
( ron(sK29(X0,X1),X0)
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_46])]) ).
fof(f2677,plain,
( spl51_177
<=> ! [X7,X8,X6,X1] :
( ron(sK37(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,[spl51_177])]) ).
fof(f7795,plain,
( ! [X2,X3,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK29(X0,X3))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ron(sK37(X0,X1,X2),X0)
| ~ sP1(X0,X3) )
| ~ spl51_46
| ~ spl51_177 ),
inference(resolution,[],[f2678,f1633]) ).
fof(f1633,plain,
( ! [X0,X1] :
( ron(sK29(X0,X1),X0)
| ~ sP1(X0,X1) )
| ~ spl51_46 ),
inference(avatar_component_clause,[],[f1632]) ).
fof(f2678,plain,
( ! [X1,X8,X6,X7] :
( ~ ron(X8,X1)
| ~ rline(X1)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ ron(X6,X1)
| ~ ron(X7,X1)
| ron(sK37(X1,X6,X7),X1) )
| ~ spl51_177 ),
inference(avatar_component_clause,[],[f2677]) ).
fof(f15798,plain,
( spl51_662
| ~ spl51_45
| ~ spl51_177 ),
inference(avatar_split_clause,[],[f7794,f2677,f1628,f15796]) ).
fof(f15796,plain,
( spl51_662
<=> ! [X0,X3,X2,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK29(X3,X0))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ron(sK37(X0,X1,X2),X0)
| ~ sP1(X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_662])]) ).
fof(f1628,plain,
( spl51_45
<=> ! [X0,X1] :
( ron(sK29(X0,X1),X1)
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_45])]) ).
fof(f7794,plain,
( ! [X2,X3,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK29(X3,X0))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ron(sK37(X0,X1,X2),X0)
| ~ sP1(X3,X0) )
| ~ spl51_45
| ~ spl51_177 ),
inference(resolution,[],[f2678,f1629]) ).
fof(f1629,plain,
( ! [X0,X1] :
( ron(sK29(X0,X1),X1)
| ~ sP1(X0,X1) )
| ~ spl51_45 ),
inference(avatar_component_clause,[],[f1628]) ).
fof(f15794,plain,
( spl51_661
| ~ spl51_48
| ~ spl51_177 ),
inference(avatar_split_clause,[],[f7793,f2677,f1640,f15792]) ).
fof(f15792,plain,
( spl51_661
<=> ! [X0,X3,X2,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK28(X0,X3))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ron(sK37(X0,X1,X2),X0)
| ~ sP1(X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_661])]) ).
fof(f1640,plain,
( spl51_48
<=> ! [X0,X1] :
( ron(sK28(X0,X1),X0)
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_48])]) ).
fof(f7793,plain,
( ! [X2,X3,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK28(X0,X3))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ron(sK37(X0,X1,X2),X0)
| ~ sP1(X0,X3) )
| ~ spl51_48
| ~ spl51_177 ),
inference(resolution,[],[f2678,f1641]) ).
fof(f1641,plain,
( ! [X0,X1] :
( ron(sK28(X0,X1),X0)
| ~ sP1(X0,X1) )
| ~ spl51_48 ),
inference(avatar_component_clause,[],[f1640]) ).
fof(f15790,plain,
( spl51_660
| ~ spl51_47
| ~ spl51_177 ),
inference(avatar_split_clause,[],[f7792,f2677,f1636,f15788]) ).
fof(f15788,plain,
( spl51_660
<=> ! [X0,X3,X2,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK28(X3,X0))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ron(sK37(X0,X1,X2),X0)
| ~ sP1(X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_660])]) ).
fof(f1636,plain,
( spl51_47
<=> ! [X0,X1] :
( ron(sK28(X0,X1),X1)
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_47])]) ).
fof(f7792,plain,
( ! [X2,X3,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK28(X3,X0))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ron(sK37(X0,X1,X2),X0)
| ~ sP1(X3,X0) )
| ~ spl51_47
| ~ spl51_177 ),
inference(resolution,[],[f2678,f1637]) ).
fof(f1637,plain,
( ! [X0,X1] :
( ron(sK28(X0,X1),X1)
| ~ sP1(X0,X1) )
| ~ spl51_47 ),
inference(avatar_component_clause,[],[f1636]) ).
fof(f15786,plain,
( spl51_659
| ~ spl51_41
| ~ spl51_177 ),
inference(avatar_split_clause,[],[f7787,f2677,f1611,f15784]) ).
fof(f15784,plain,
( spl51_659
<=> ! [X0,X3,X2,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK16(X0,X3))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ron(sK37(X0,X1,X2),X0)
| ~ sP0(X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_659])]) ).
fof(f1611,plain,
( spl51_41
<=> ! [X0,X1] :
( ron(sK16(X0,X1),X0)
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_41])]) ).
fof(f7787,plain,
( ! [X2,X3,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK16(X0,X3))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ron(sK37(X0,X1,X2),X0)
| ~ sP0(X0,X3) )
| ~ spl51_41
| ~ spl51_177 ),
inference(resolution,[],[f2678,f1612]) ).
fof(f1612,plain,
( ! [X0,X1] :
( ron(sK16(X0,X1),X0)
| ~ sP0(X0,X1) )
| ~ spl51_41 ),
inference(avatar_component_clause,[],[f1611]) ).
fof(f15782,plain,
( spl51_658
| ~ spl51_40
| ~ spl51_177 ),
inference(avatar_split_clause,[],[f7786,f2677,f1607,f15780]) ).
fof(f15780,plain,
( spl51_658
<=> ! [X0,X3,X2,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK16(X3,X0))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ron(sK37(X0,X1,X2),X0)
| ~ sP0(X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_658])]) ).
fof(f1607,plain,
( spl51_40
<=> ! [X0,X1] :
( ron(sK16(X0,X1),X1)
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_40])]) ).
fof(f7786,plain,
( ! [X2,X3,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK16(X3,X0))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ron(sK37(X0,X1,X2),X0)
| ~ sP0(X3,X0) )
| ~ spl51_40
| ~ spl51_177 ),
inference(resolution,[],[f2678,f1608]) ).
fof(f1608,plain,
( ! [X0,X1] :
( ron(sK16(X0,X1),X1)
| ~ sP0(X0,X1) )
| ~ spl51_40 ),
inference(avatar_component_clause,[],[f1607]) ).
fof(f15778,plain,
( spl51_657
| ~ spl51_44
| ~ spl51_177 ),
inference(avatar_split_clause,[],[f7785,f2677,f1624,f15776]) ).
fof(f15776,plain,
( spl51_657
<=> ! [X0,X3,X2,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK15(X0,X3))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ron(sK37(X0,X1,X2),X0)
| ~ sP0(X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_657])]) ).
fof(f1624,plain,
( spl51_44
<=> ! [X0,X1] :
( ron(sK15(X0,X1),X0)
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_44])]) ).
fof(f7785,plain,
( ! [X2,X3,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK15(X0,X3))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ron(sK37(X0,X1,X2),X0)
| ~ sP0(X0,X3) )
| ~ spl51_44
| ~ spl51_177 ),
inference(resolution,[],[f2678,f1625]) ).
fof(f1625,plain,
( ! [X0,X1] :
( ron(sK15(X0,X1),X0)
| ~ sP0(X0,X1) )
| ~ spl51_44 ),
inference(avatar_component_clause,[],[f1624]) ).
fof(f15774,plain,
( spl51_656
| ~ spl51_43
| ~ spl51_177 ),
inference(avatar_split_clause,[],[f7784,f2677,f1620,f15772]) ).
fof(f15772,plain,
( spl51_656
<=> ! [X0,X3,X2,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK15(X3,X0))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ron(sK37(X0,X1,X2),X0)
| ~ sP0(X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_656])]) ).
fof(f1620,plain,
( spl51_43
<=> ! [X0,X1] :
( ron(sK15(X0,X1),X1)
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_43])]) ).
fof(f7784,plain,
( ! [X2,X3,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK15(X3,X0))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ron(sK37(X0,X1,X2),X0)
| ~ sP0(X3,X0) )
| ~ spl51_43
| ~ spl51_177 ),
inference(resolution,[],[f2678,f1621]) ).
fof(f1621,plain,
( ! [X0,X1] :
( ron(sK15(X0,X1),X1)
| ~ sP0(X0,X1) )
| ~ spl51_43 ),
inference(avatar_component_clause,[],[f1620]) ).
fof(f15770,plain,
( spl51_655
| ~ spl51_10
| ~ spl51_388 ),
inference(avatar_split_clause,[],[f6298,f5958,f1463,f15767]) ).
fof(f15767,plain,
( spl51_655
<=> vd684 = vg(sK11(vskolem1061),sK11(vskolem1061),sK15(sK5,vskolem1061)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_655])]) ).
fof(f1463,plain,
( spl51_10
<=> rcircle(vskolem1061) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_10])]) ).
fof(f6298,plain,
( vd684 = vg(sK11(vskolem1061),sK11(vskolem1061),sK15(sK5,vskolem1061))
| ~ spl51_10
| ~ spl51_388 ),
inference(resolution,[],[f5959,f1465]) ).
fof(f1465,plain,
( rcircle(vskolem1061)
| ~ spl51_10 ),
inference(avatar_component_clause,[],[f1463]) ).
fof(f15605,plain,
( spl51_654
| ~ spl51_46
| ~ spl51_173 ),
inference(avatar_split_clause,[],[f2613,f2494,f1632,f15603]) ).
fof(f15603,plain,
( spl51_654
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK29(X1,X2))
| ~ rline(X3)
| rS(X0,sK29(X1,X2),X3)
| ~ rline(X1)
| ~ ron(X0,X1)
| rintersect(X3,X1)
| ~ sP1(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_654])]) ).
fof(f2494,plain,
( spl51_173
<=> ! [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,[spl51_173])]) ).
fof(f2613,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK29(X1,X2))
| ~ rline(X3)
| rS(X0,sK29(X1,X2),X3)
| ~ rline(X1)
| ~ ron(X0,X1)
| rintersect(X3,X1)
| ~ sP1(X1,X2) )
| ~ spl51_46
| ~ spl51_173 ),
inference(resolution,[],[f2495,f1633]) ).
fof(f2495,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) )
| ~ spl51_173 ),
inference(avatar_component_clause,[],[f2494]) ).
fof(f15601,plain,
( spl51_653
| ~ spl51_45
| ~ spl51_173 ),
inference(avatar_split_clause,[],[f2612,f2494,f1628,f15599]) ).
fof(f15599,plain,
( spl51_653
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK29(X1,X2))
| ~ rline(X3)
| rS(X0,sK29(X1,X2),X3)
| ~ rline(X2)
| ~ ron(X0,X2)
| rintersect(X3,X2)
| ~ sP1(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_653])]) ).
fof(f2612,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK29(X1,X2))
| ~ rline(X3)
| rS(X0,sK29(X1,X2),X3)
| ~ rline(X2)
| ~ ron(X0,X2)
| rintersect(X3,X2)
| ~ sP1(X1,X2) )
| ~ spl51_45
| ~ spl51_173 ),
inference(resolution,[],[f2495,f1629]) ).
fof(f15597,plain,
( spl51_652
| ~ spl51_48
| ~ spl51_173 ),
inference(avatar_split_clause,[],[f2611,f2494,f1640,f15595]) ).
fof(f15595,plain,
( spl51_652
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK28(X1,X2))
| ~ rline(X3)
| rS(X0,sK28(X1,X2),X3)
| ~ rline(X1)
| ~ ron(X0,X1)
| rintersect(X3,X1)
| ~ sP1(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_652])]) ).
fof(f2611,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK28(X1,X2))
| ~ rline(X3)
| rS(X0,sK28(X1,X2),X3)
| ~ rline(X1)
| ~ ron(X0,X1)
| rintersect(X3,X1)
| ~ sP1(X1,X2) )
| ~ spl51_48
| ~ spl51_173 ),
inference(resolution,[],[f2495,f1641]) ).
fof(f15593,plain,
( spl51_651
| ~ spl51_47
| ~ spl51_173 ),
inference(avatar_split_clause,[],[f2610,f2494,f1636,f15591]) ).
fof(f15591,plain,
( spl51_651
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK28(X1,X2))
| ~ rline(X3)
| rS(X0,sK28(X1,X2),X3)
| ~ rline(X2)
| ~ ron(X0,X2)
| rintersect(X3,X2)
| ~ sP1(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_651])]) ).
fof(f2610,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK28(X1,X2))
| ~ rline(X3)
| rS(X0,sK28(X1,X2),X3)
| ~ rline(X2)
| ~ ron(X0,X2)
| rintersect(X3,X2)
| ~ sP1(X1,X2) )
| ~ spl51_47
| ~ spl51_173 ),
inference(resolution,[],[f2495,f1637]) ).
fof(f15589,plain,
( spl51_650
| ~ spl51_41
| ~ spl51_173 ),
inference(avatar_split_clause,[],[f2605,f2494,f1611,f15587]) ).
fof(f15587,plain,
( spl51_650
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK16(X1,X2))
| ~ rline(X3)
| rS(X0,sK16(X1,X2),X3)
| ~ rline(X1)
| ~ ron(X0,X1)
| rintersect(X3,X1)
| ~ sP0(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_650])]) ).
fof(f2605,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK16(X1,X2))
| ~ rline(X3)
| rS(X0,sK16(X1,X2),X3)
| ~ rline(X1)
| ~ ron(X0,X1)
| rintersect(X3,X1)
| ~ sP0(X1,X2) )
| ~ spl51_41
| ~ spl51_173 ),
inference(resolution,[],[f2495,f1612]) ).
fof(f15582,plain,
( spl51_649
| ~ spl51_40
| ~ spl51_173 ),
inference(avatar_split_clause,[],[f2604,f2494,f1607,f15580]) ).
fof(f15580,plain,
( spl51_649
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK16(X1,X2))
| ~ rline(X3)
| rS(X0,sK16(X1,X2),X3)
| ~ rline(X2)
| ~ ron(X0,X2)
| rintersect(X3,X2)
| ~ sP0(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_649])]) ).
fof(f2604,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK16(X1,X2))
| ~ rline(X3)
| rS(X0,sK16(X1,X2),X3)
| ~ rline(X2)
| ~ ron(X0,X2)
| rintersect(X3,X2)
| ~ sP0(X1,X2) )
| ~ spl51_40
| ~ spl51_173 ),
inference(resolution,[],[f2495,f1608]) ).
fof(f15578,plain,
( spl51_648
| ~ spl51_44
| ~ spl51_173 ),
inference(avatar_split_clause,[],[f2603,f2494,f1624,f15576]) ).
fof(f15576,plain,
( spl51_648
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK15(X1,X2))
| ~ rline(X3)
| rS(X0,sK15(X1,X2),X3)
| ~ rline(X1)
| ~ ron(X0,X1)
| rintersect(X3,X1)
| ~ sP0(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_648])]) ).
fof(f2603,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK15(X1,X2))
| ~ rline(X3)
| rS(X0,sK15(X1,X2),X3)
| ~ rline(X1)
| ~ ron(X0,X1)
| rintersect(X3,X1)
| ~ sP0(X1,X2) )
| ~ spl51_44
| ~ spl51_173 ),
inference(resolution,[],[f2495,f1625]) ).
fof(f15574,plain,
( spl51_647
| ~ spl51_43
| ~ spl51_173 ),
inference(avatar_split_clause,[],[f2602,f2494,f1620,f15572]) ).
fof(f15572,plain,
( spl51_647
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK15(X1,X2))
| ~ rline(X3)
| rS(X0,sK15(X1,X2),X3)
| ~ rline(X2)
| ~ ron(X0,X2)
| rintersect(X3,X2)
| ~ sP0(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_647])]) ).
fof(f2602,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK15(X1,X2))
| ~ rline(X3)
| rS(X0,sK15(X1,X2),X3)
| ~ rline(X2)
| ~ ron(X0,X2)
| rintersect(X3,X2)
| ~ sP0(X1,X2) )
| ~ spl51_43
| ~ spl51_173 ),
inference(resolution,[],[f2495,f1621]) ).
fof(f15570,plain,
( spl51_646
| ~ spl51_126
| ~ spl51_160 ),
inference(avatar_split_clause,[],[f2445,f2419,f2090,f15568]) ).
fof(f15568,plain,
( spl51_646
<=> ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| ~ rpoint(X2)
| ~ rS(X2,X1,X0)
| ~ rpoint(sK39(X0,X1,X2))
| rS(X1,sK39(X0,X1,X2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_646])]) ).
fof(f2090,plain,
( spl51_126
<=> ! [X4,X5,X3] :
( rS(X5,X4,X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rline(X3)
| ~ rS(X4,X5,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_126])]) ).
fof(f2419,plain,
( spl51_160
<=> ! [X5,X1,X3] :
( rS(sK39(X1,X3,X5),X3,X1)
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X3,X1)
| ~ rpoint(X5)
| ~ rS(X5,X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_160])]) ).
fof(f2445,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| ~ rpoint(X2)
| ~ rS(X2,X1,X0)
| ~ rpoint(sK39(X0,X1,X2))
| rS(X1,sK39(X0,X1,X2),X0) )
| ~ spl51_126
| ~ spl51_160 ),
inference(duplicate_literal_removal,[],[f2442]) ).
fof(f2442,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| ~ rpoint(X2)
| ~ rS(X2,X1,X0)
| ~ rpoint(sK39(X0,X1,X2))
| ~ rpoint(X1)
| ~ rline(X0)
| rS(X1,sK39(X0,X1,X2),X0) )
| ~ spl51_126
| ~ spl51_160 ),
inference(resolution,[],[f2420,f2091]) ).
fof(f2091,plain,
( ! [X3,X4,X5] :
( ~ rS(X4,X5,X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rline(X3)
| rS(X5,X4,X3) )
| ~ spl51_126 ),
inference(avatar_component_clause,[],[f2090]) ).
fof(f2420,plain,
( ! [X3,X1,X5] :
( rS(sK39(X1,X3,X5),X3,X1)
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X3,X1)
| ~ rpoint(X5)
| ~ rS(X5,X3,X1) )
| ~ spl51_160 ),
inference(avatar_component_clause,[],[f2419]) ).
fof(f15566,plain,
( spl51_645
| ~ spl51_95
| ~ spl51_146 ),
inference(avatar_split_clause,[],[f2385,f2288,f1942,f15564]) ).
fof(f15564,plain,
( spl51_645
<=> ! [X2,X0,X1] :
( ~ rline(sK8(X0,X1))
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ ron(X2,sK8(X0,X1))
| rpoint(sK22(X2,X1))
| X1 = X2
| ~ rpoint(X0)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_645])]) ).
fof(f1942,plain,
( spl51_95
<=> ! [X4,X3] :
( ron(X4,sK8(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_95])]) ).
fof(f2385,plain,
( ! [X2,X0,X1] :
( ~ rline(sK8(X0,X1))
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ ron(X2,sK8(X0,X1))
| rpoint(sK22(X2,X1))
| X1 = X2
| ~ rpoint(X0)
| X0 = X1 )
| ~ spl51_95
| ~ spl51_146 ),
inference(duplicate_literal_removal,[],[f2351]) ).
fof(f2351,plain,
( ! [X2,X0,X1] :
( ~ rline(sK8(X0,X1))
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ ron(X2,sK8(X0,X1))
| rpoint(sK22(X2,X1))
| X1 = X2
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1 )
| ~ spl51_95
| ~ spl51_146 ),
inference(resolution,[],[f2289,f1943]) ).
fof(f1943,plain,
( ! [X3,X4] :
( ron(X4,sK8(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 = X4 )
| ~ spl51_95 ),
inference(avatar_component_clause,[],[f1942]) ).
fof(f15562,plain,
( spl51_644
| ~ spl51_96
| ~ spl51_146 ),
inference(avatar_split_clause,[],[f2384,f2288,f1946,f15560]) ).
fof(f15560,plain,
( spl51_644
<=> ! [X2,X0,X1] :
( ~ rline(sK9(X0,X1))
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ ron(X2,sK9(X0,X1))
| rpoint(sK22(X2,X0))
| X0 = X2
| ~ rpoint(X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_644])]) ).
fof(f1946,plain,
( spl51_96
<=> ! [X4,X3] :
( ron(X3,sK9(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_96])]) ).
fof(f2384,plain,
( ! [X2,X0,X1] :
( ~ rline(sK9(X0,X1))
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ ron(X2,sK9(X0,X1))
| rpoint(sK22(X2,X0))
| X0 = X2
| ~ rpoint(X1)
| X0 = X1 )
| ~ spl51_96
| ~ spl51_146 ),
inference(duplicate_literal_removal,[],[f2352]) ).
fof(f2352,plain,
( ! [X2,X0,X1] :
( ~ rline(sK9(X0,X1))
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ ron(X2,sK9(X0,X1))
| rpoint(sK22(X2,X0))
| X0 = X2
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1 )
| ~ spl51_96
| ~ spl51_146 ),
inference(resolution,[],[f2289,f1947]) ).
fof(f1947,plain,
( ! [X3,X4] :
( ron(X3,sK9(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 = X4 )
| ~ spl51_96 ),
inference(avatar_component_clause,[],[f1946]) ).
fof(f15558,plain,
( spl51_643
| ~ spl51_97
| ~ spl51_146 ),
inference(avatar_split_clause,[],[f2383,f2288,f1950,f15556]) ).
fof(f15556,plain,
( spl51_643
<=> ! [X2,X0,X1] :
( ~ rline(sK9(X0,X1))
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ ron(X2,sK9(X0,X1))
| rpoint(sK22(X2,X1))
| X1 = X2
| ~ rpoint(X0)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_643])]) ).
fof(f1950,plain,
( spl51_97
<=> ! [X4,X3] :
( ron(X4,sK9(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_97])]) ).
fof(f2383,plain,
( ! [X2,X0,X1] :
( ~ rline(sK9(X0,X1))
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ ron(X2,sK9(X0,X1))
| rpoint(sK22(X2,X1))
| X1 = X2
| ~ rpoint(X0)
| X0 = X1 )
| ~ spl51_97
| ~ spl51_146 ),
inference(duplicate_literal_removal,[],[f2353]) ).
fof(f2353,plain,
( ! [X2,X0,X1] :
( ~ rline(sK9(X0,X1))
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ ron(X2,sK9(X0,X1))
| rpoint(sK22(X2,X1))
| X1 = X2
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1 )
| ~ spl51_97
| ~ spl51_146 ),
inference(resolution,[],[f2289,f1951]) ).
fof(f1951,plain,
( ! [X3,X4] :
( ron(X4,sK9(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 = X4 )
| ~ spl51_97 ),
inference(avatar_component_clause,[],[f1950]) ).
fof(f15554,plain,
( spl51_642
| ~ spl51_46
| ~ spl51_146 ),
inference(avatar_split_clause,[],[f2370,f2288,f1632,f15552]) ).
fof(f15552,plain,
( spl51_642
<=> ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK29(X0,X2))
| ~ ron(X1,X0)
| rpoint(sK22(X1,sK29(X0,X2)))
| sK29(X0,X2) = X1
| ~ sP1(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_642])]) ).
fof(f2370,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK29(X0,X2))
| ~ ron(X1,X0)
| rpoint(sK22(X1,sK29(X0,X2)))
| sK29(X0,X2) = X1
| ~ sP1(X0,X2) )
| ~ spl51_46
| ~ spl51_146 ),
inference(resolution,[],[f2289,f1633]) ).
fof(f15550,plain,
( spl51_641
| ~ spl51_45
| ~ spl51_146 ),
inference(avatar_split_clause,[],[f2369,f2288,f1628,f15548]) ).
fof(f15548,plain,
( spl51_641
<=> ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK29(X2,X0))
| ~ ron(X1,X0)
| rpoint(sK22(X1,sK29(X2,X0)))
| sK29(X2,X0) = X1
| ~ sP1(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_641])]) ).
fof(f2369,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK29(X2,X0))
| ~ ron(X1,X0)
| rpoint(sK22(X1,sK29(X2,X0)))
| sK29(X2,X0) = X1
| ~ sP1(X2,X0) )
| ~ spl51_45
| ~ spl51_146 ),
inference(resolution,[],[f2289,f1629]) ).
fof(f15546,plain,
( spl51_640
| ~ spl51_48
| ~ spl51_146 ),
inference(avatar_split_clause,[],[f2368,f2288,f1640,f15544]) ).
fof(f15544,plain,
( spl51_640
<=> ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK28(X0,X2))
| ~ ron(X1,X0)
| rpoint(sK22(X1,sK28(X0,X2)))
| sK28(X0,X2) = X1
| ~ sP1(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_640])]) ).
fof(f2368,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK28(X0,X2))
| ~ ron(X1,X0)
| rpoint(sK22(X1,sK28(X0,X2)))
| sK28(X0,X2) = X1
| ~ sP1(X0,X2) )
| ~ spl51_48
| ~ spl51_146 ),
inference(resolution,[],[f2289,f1641]) ).
fof(f15539,plain,
( spl51_639
| ~ spl51_47
| ~ spl51_146 ),
inference(avatar_split_clause,[],[f2367,f2288,f1636,f15537]) ).
fof(f15537,plain,
( spl51_639
<=> ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK28(X2,X0))
| ~ ron(X1,X0)
| rpoint(sK22(X1,sK28(X2,X0)))
| sK28(X2,X0) = X1
| ~ sP1(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_639])]) ).
fof(f2367,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK28(X2,X0))
| ~ ron(X1,X0)
| rpoint(sK22(X1,sK28(X2,X0)))
| sK28(X2,X0) = X1
| ~ sP1(X2,X0) )
| ~ spl51_47
| ~ spl51_146 ),
inference(resolution,[],[f2289,f1637]) ).
fof(f15535,plain,
( spl51_638
| ~ spl51_41
| ~ spl51_146 ),
inference(avatar_split_clause,[],[f2362,f2288,f1611,f15533]) ).
fof(f15533,plain,
( spl51_638
<=> ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK16(X0,X2))
| ~ ron(X1,X0)
| rpoint(sK22(X1,sK16(X0,X2)))
| sK16(X0,X2) = X1
| ~ sP0(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_638])]) ).
fof(f2362,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK16(X0,X2))
| ~ ron(X1,X0)
| rpoint(sK22(X1,sK16(X0,X2)))
| sK16(X0,X2) = X1
| ~ sP0(X0,X2) )
| ~ spl51_41
| ~ spl51_146 ),
inference(resolution,[],[f2289,f1612]) ).
fof(f15531,plain,
( spl51_637
| ~ spl51_40
| ~ spl51_146 ),
inference(avatar_split_clause,[],[f2361,f2288,f1607,f15529]) ).
fof(f15529,plain,
( spl51_637
<=> ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK16(X2,X0))
| ~ ron(X1,X0)
| rpoint(sK22(X1,sK16(X2,X0)))
| sK16(X2,X0) = X1
| ~ sP0(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_637])]) ).
fof(f2361,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK16(X2,X0))
| ~ ron(X1,X0)
| rpoint(sK22(X1,sK16(X2,X0)))
| sK16(X2,X0) = X1
| ~ sP0(X2,X0) )
| ~ spl51_40
| ~ spl51_146 ),
inference(resolution,[],[f2289,f1608]) ).
fof(f15527,plain,
( spl51_636
| ~ spl51_44
| ~ spl51_146 ),
inference(avatar_split_clause,[],[f2360,f2288,f1624,f15525]) ).
fof(f15525,plain,
( spl51_636
<=> ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK15(X0,X2))
| ~ ron(X1,X0)
| rpoint(sK22(X1,sK15(X0,X2)))
| sK15(X0,X2) = X1
| ~ sP0(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_636])]) ).
fof(f2360,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK15(X0,X2))
| ~ ron(X1,X0)
| rpoint(sK22(X1,sK15(X0,X2)))
| sK15(X0,X2) = X1
| ~ sP0(X0,X2) )
| ~ spl51_44
| ~ spl51_146 ),
inference(resolution,[],[f2289,f1625]) ).
fof(f15523,plain,
( spl51_635
| ~ spl51_43
| ~ spl51_146 ),
inference(avatar_split_clause,[],[f2359,f2288,f1620,f15521]) ).
fof(f15521,plain,
( spl51_635
<=> ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK15(X2,X0))
| ~ ron(X1,X0)
| rpoint(sK22(X1,sK15(X2,X0)))
| sK15(X2,X0) = X1
| ~ sP0(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_635])]) ).
fof(f2359,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK15(X2,X0))
| ~ ron(X1,X0)
| rpoint(sK22(X1,sK15(X2,X0)))
| sK15(X2,X0) = X1
| ~ sP0(X2,X0) )
| ~ spl51_43
| ~ spl51_146 ),
inference(resolution,[],[f2289,f1621]) ).
fof(f15519,plain,
( spl51_634
| ~ spl51_95
| ~ spl51_145 ),
inference(avatar_split_clause,[],[f2350,f2284,f1942,f15517]) ).
fof(f15517,plain,
( spl51_634
<=> ! [X2,X0,X1] :
( ~ rline(sK8(X0,X1))
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ ron(X2,sK8(X0,X1))
| rpoint(sK21(X2,X1))
| X1 = X2
| ~ rpoint(X0)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_634])]) ).
fof(f2350,plain,
( ! [X2,X0,X1] :
( ~ rline(sK8(X0,X1))
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ ron(X2,sK8(X0,X1))
| rpoint(sK21(X2,X1))
| X1 = X2
| ~ rpoint(X0)
| X0 = X1 )
| ~ spl51_95
| ~ spl51_145 ),
inference(duplicate_literal_removal,[],[f2316]) ).
fof(f2316,plain,
( ! [X2,X0,X1] :
( ~ rline(sK8(X0,X1))
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ ron(X2,sK8(X0,X1))
| rpoint(sK21(X2,X1))
| X1 = X2
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1 )
| ~ spl51_95
| ~ spl51_145 ),
inference(resolution,[],[f2285,f1943]) ).
fof(f15515,plain,
( spl51_633
| ~ spl51_96
| ~ spl51_145 ),
inference(avatar_split_clause,[],[f2349,f2284,f1946,f15513]) ).
fof(f15513,plain,
( spl51_633
<=> ! [X2,X0,X1] :
( ~ rline(sK9(X0,X1))
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ ron(X2,sK9(X0,X1))
| rpoint(sK21(X2,X0))
| X0 = X2
| ~ rpoint(X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_633])]) ).
fof(f2349,plain,
( ! [X2,X0,X1] :
( ~ rline(sK9(X0,X1))
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ ron(X2,sK9(X0,X1))
| rpoint(sK21(X2,X0))
| X0 = X2
| ~ rpoint(X1)
| X0 = X1 )
| ~ spl51_96
| ~ spl51_145 ),
inference(duplicate_literal_removal,[],[f2317]) ).
fof(f2317,plain,
( ! [X2,X0,X1] :
( ~ rline(sK9(X0,X1))
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ ron(X2,sK9(X0,X1))
| rpoint(sK21(X2,X0))
| X0 = X2
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1 )
| ~ spl51_96
| ~ spl51_145 ),
inference(resolution,[],[f2285,f1947]) ).
fof(f15511,plain,
( spl51_632
| ~ spl51_97
| ~ spl51_145 ),
inference(avatar_split_clause,[],[f2348,f2284,f1950,f15509]) ).
fof(f15509,plain,
( spl51_632
<=> ! [X2,X0,X1] :
( ~ rline(sK9(X0,X1))
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ ron(X2,sK9(X0,X1))
| rpoint(sK21(X2,X1))
| X1 = X2
| ~ rpoint(X0)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_632])]) ).
fof(f2348,plain,
( ! [X2,X0,X1] :
( ~ rline(sK9(X0,X1))
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ ron(X2,sK9(X0,X1))
| rpoint(sK21(X2,X1))
| X1 = X2
| ~ rpoint(X0)
| X0 = X1 )
| ~ spl51_97
| ~ spl51_145 ),
inference(duplicate_literal_removal,[],[f2318]) ).
fof(f2318,plain,
( ! [X2,X0,X1] :
( ~ rline(sK9(X0,X1))
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ ron(X2,sK9(X0,X1))
| rpoint(sK21(X2,X1))
| X1 = X2
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1 )
| ~ spl51_97
| ~ spl51_145 ),
inference(resolution,[],[f2285,f1951]) ).
fof(f15507,plain,
( spl51_631
| ~ spl51_46
| ~ spl51_145 ),
inference(avatar_split_clause,[],[f2335,f2284,f1632,f15505]) ).
fof(f15505,plain,
( spl51_631
<=> ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK29(X0,X2))
| ~ ron(X1,X0)
| rpoint(sK21(X1,sK29(X0,X2)))
| sK29(X0,X2) = X1
| ~ sP1(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_631])]) ).
fof(f2335,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK29(X0,X2))
| ~ ron(X1,X0)
| rpoint(sK21(X1,sK29(X0,X2)))
| sK29(X0,X2) = X1
| ~ sP1(X0,X2) )
| ~ spl51_46
| ~ spl51_145 ),
inference(resolution,[],[f2285,f1633]) ).
fof(f15503,plain,
( spl51_630
| ~ spl51_45
| ~ spl51_145 ),
inference(avatar_split_clause,[],[f2334,f2284,f1628,f15501]) ).
fof(f15501,plain,
( spl51_630
<=> ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK29(X2,X0))
| ~ ron(X1,X0)
| rpoint(sK21(X1,sK29(X2,X0)))
| sK29(X2,X0) = X1
| ~ sP1(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_630])]) ).
fof(f2334,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK29(X2,X0))
| ~ ron(X1,X0)
| rpoint(sK21(X1,sK29(X2,X0)))
| sK29(X2,X0) = X1
| ~ sP1(X2,X0) )
| ~ spl51_45
| ~ spl51_145 ),
inference(resolution,[],[f2285,f1629]) ).
fof(f15499,plain,
( spl51_629
| ~ spl51_301
| ~ spl51_450 ),
inference(avatar_split_clause,[],[f7566,f6458,f4651,f15496]) ).
fof(f15496,plain,
( spl51_629
<=> vd684 = vg(sK13(sK5),sK13(sK5),sK16(sK5,vskolem1061)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_629])]) ).
fof(f4651,plain,
( spl51_301
<=> ! [X0] :
( vd684 = vg(X0,X0,sK16(sK5,vskolem1061))
| ~ rpoint(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_301])]) ).
fof(f6458,plain,
( spl51_450
<=> rpoint(sK13(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_450])]) ).
fof(f7566,plain,
( vd684 = vg(sK13(sK5),sK13(sK5),sK16(sK5,vskolem1061))
| ~ spl51_301
| ~ spl51_450 ),
inference(resolution,[],[f6459,f4652]) ).
fof(f4652,plain,
( ! [X0] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK16(sK5,vskolem1061)) )
| ~ spl51_301 ),
inference(avatar_component_clause,[],[f4651]) ).
fof(f6459,plain,
( rpoint(sK13(sK5))
| ~ spl51_450 ),
inference(avatar_component_clause,[],[f6458]) ).
fof(f15494,plain,
( spl51_628
| ~ spl51_48
| ~ spl51_145 ),
inference(avatar_split_clause,[],[f2333,f2284,f1640,f15492]) ).
fof(f15492,plain,
( spl51_628
<=> ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK28(X0,X2))
| ~ ron(X1,X0)
| rpoint(sK21(X1,sK28(X0,X2)))
| sK28(X0,X2) = X1
| ~ sP1(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_628])]) ).
fof(f2333,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK28(X0,X2))
| ~ ron(X1,X0)
| rpoint(sK21(X1,sK28(X0,X2)))
| sK28(X0,X2) = X1
| ~ sP1(X0,X2) )
| ~ spl51_48
| ~ spl51_145 ),
inference(resolution,[],[f2285,f1641]) ).
fof(f15490,plain,
( spl51_627
| ~ spl51_47
| ~ spl51_145 ),
inference(avatar_split_clause,[],[f2332,f2284,f1636,f15488]) ).
fof(f15488,plain,
( spl51_627
<=> ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK28(X2,X0))
| ~ ron(X1,X0)
| rpoint(sK21(X1,sK28(X2,X0)))
| sK28(X2,X0) = X1
| ~ sP1(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_627])]) ).
fof(f2332,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK28(X2,X0))
| ~ ron(X1,X0)
| rpoint(sK21(X1,sK28(X2,X0)))
| sK28(X2,X0) = X1
| ~ sP1(X2,X0) )
| ~ spl51_47
| ~ spl51_145 ),
inference(resolution,[],[f2285,f1637]) ).
fof(f15486,plain,
( spl51_626
| ~ spl51_41
| ~ spl51_145 ),
inference(avatar_split_clause,[],[f2327,f2284,f1611,f15484]) ).
fof(f15484,plain,
( spl51_626
<=> ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK16(X0,X2))
| ~ ron(X1,X0)
| rpoint(sK21(X1,sK16(X0,X2)))
| sK16(X0,X2) = X1
| ~ sP0(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_626])]) ).
fof(f2327,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK16(X0,X2))
| ~ ron(X1,X0)
| rpoint(sK21(X1,sK16(X0,X2)))
| sK16(X0,X2) = X1
| ~ sP0(X0,X2) )
| ~ spl51_41
| ~ spl51_145 ),
inference(resolution,[],[f2285,f1612]) ).
fof(f15482,plain,
( spl51_625
| ~ spl51_40
| ~ spl51_145 ),
inference(avatar_split_clause,[],[f2326,f2284,f1607,f15480]) ).
fof(f15480,plain,
( spl51_625
<=> ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK16(X2,X0))
| ~ ron(X1,X0)
| rpoint(sK21(X1,sK16(X2,X0)))
| sK16(X2,X0) = X1
| ~ sP0(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_625])]) ).
fof(f2326,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK16(X2,X0))
| ~ ron(X1,X0)
| rpoint(sK21(X1,sK16(X2,X0)))
| sK16(X2,X0) = X1
| ~ sP0(X2,X0) )
| ~ spl51_40
| ~ spl51_145 ),
inference(resolution,[],[f2285,f1608]) ).
fof(f15478,plain,
( spl51_624
| ~ spl51_44
| ~ spl51_145 ),
inference(avatar_split_clause,[],[f2325,f2284,f1624,f15476]) ).
fof(f15476,plain,
( spl51_624
<=> ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK15(X0,X2))
| ~ ron(X1,X0)
| rpoint(sK21(X1,sK15(X0,X2)))
| sK15(X0,X2) = X1
| ~ sP0(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_624])]) ).
fof(f2325,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK15(X0,X2))
| ~ ron(X1,X0)
| rpoint(sK21(X1,sK15(X0,X2)))
| sK15(X0,X2) = X1
| ~ sP0(X0,X2) )
| ~ spl51_44
| ~ spl51_145 ),
inference(resolution,[],[f2285,f1625]) ).
fof(f15474,plain,
( spl51_623
| ~ spl51_43
| ~ spl51_145 ),
inference(avatar_split_clause,[],[f2324,f2284,f1620,f15472]) ).
fof(f15472,plain,
( spl51_623
<=> ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK15(X2,X0))
| ~ ron(X1,X0)
| rpoint(sK21(X1,sK15(X2,X0)))
| sK15(X2,X0) = X1
| ~ sP0(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_623])]) ).
fof(f2324,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK15(X2,X0))
| ~ ron(X1,X0)
| rpoint(sK21(X1,sK15(X2,X0)))
| sK15(X2,X0) = X1
| ~ sP0(X2,X0) )
| ~ spl51_43
| ~ spl51_145 ),
inference(resolution,[],[f2285,f1621]) ).
fof(f15444,plain,
( spl51_622
| ~ spl51_293
| ~ spl51_450 ),
inference(avatar_split_clause,[],[f7560,f6458,f4595,f15441]) ).
fof(f15441,plain,
( spl51_622
<=> vd684 = vg(sK13(sK5),sK13(sK5),sK15(sK5,vskolem1061)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_622])]) ).
fof(f4595,plain,
( spl51_293
<=> ! [X0] :
( vd684 = vg(X0,X0,sK15(sK5,vskolem1061))
| ~ rpoint(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_293])]) ).
fof(f7560,plain,
( vd684 = vg(sK13(sK5),sK13(sK5),sK15(sK5,vskolem1061))
| ~ spl51_293
| ~ spl51_450 ),
inference(resolution,[],[f6459,f4596]) ).
fof(f4596,plain,
( ! [X0] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK15(sK5,vskolem1061)) )
| ~ spl51_293 ),
inference(avatar_component_clause,[],[f4595]) ).
fof(f14704,plain,
( spl51_621
| ~ spl51_23
| ~ spl51_189 ),
inference(avatar_split_clause,[],[f3070,f2835,f1521,f14702]) ).
fof(f14702,plain,
( spl51_621
<=> ! [X0,X1] :
( ~ rline(X0)
| rS(X1,sK10(X0),sK35(X1,sK10(X0)))
| ~ rcircle(X0)
| ~ rpoint(sK10(X0))
| rintersect(sK34(X0),X0)
| ~ rpoint(X1)
| ~ ron(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_621])]) ).
fof(f2835,plain,
( spl51_189
<=> ! [X6,X5,X7] :
( rintersect(sK34(X7),X7)
| rS(X5,X6,sK35(X5,X6))
| ~ rcircle(X7)
| ~ rpoint(X6)
| ~ ron(X6,X7)
| ~ rpoint(X5)
| ~ ron(X5,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_189])]) ).
fof(f3070,plain,
( ! [X0,X1] :
( ~ rline(X0)
| rS(X1,sK10(X0),sK35(X1,sK10(X0)))
| ~ rcircle(X0)
| ~ rpoint(sK10(X0))
| rintersect(sK34(X0),X0)
| ~ rpoint(X1)
| ~ ron(X1,X0) )
| ~ spl51_23
| ~ spl51_189 ),
inference(resolution,[],[f1522,f2836]) ).
fof(f2836,plain,
( ! [X6,X7,X5] :
( ~ ron(X6,X7)
| rS(X5,X6,sK35(X5,X6))
| ~ rcircle(X7)
| ~ rpoint(X6)
| rintersect(sK34(X7),X7)
| ~ rpoint(X5)
| ~ ron(X5,X7) )
| ~ spl51_189 ),
inference(avatar_component_clause,[],[f2835]) ).
fof(f14700,plain,
( spl51_620
| ~ spl51_46
| ~ spl51_175 ),
inference(avatar_split_clause,[],[f2656,f2634,f1632,f14698]) ).
fof(f14698,plain,
( spl51_620
<=> ! [X0,X3,X2,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK29(X0,X3))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| rpoint(sK37(X0,X1,X2))
| ~ sP1(X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_620])]) ).
fof(f2656,plain,
( ! [X2,X3,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK29(X0,X3))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| rpoint(sK37(X0,X1,X2))
| ~ sP1(X0,X3) )
| ~ spl51_46
| ~ spl51_175 ),
inference(resolution,[],[f2635,f1633]) ).
fof(f14696,plain,
( spl51_619
| ~ spl51_45
| ~ spl51_175 ),
inference(avatar_split_clause,[],[f2655,f2634,f1628,f14694]) ).
fof(f14694,plain,
( spl51_619
<=> ! [X0,X3,X2,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK29(X3,X0))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| rpoint(sK37(X0,X1,X2))
| ~ sP1(X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_619])]) ).
fof(f2655,plain,
( ! [X2,X3,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK29(X3,X0))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| rpoint(sK37(X0,X1,X2))
| ~ sP1(X3,X0) )
| ~ spl51_45
| ~ spl51_175 ),
inference(resolution,[],[f2635,f1629]) ).
fof(f14692,plain,
( spl51_618
| ~ spl51_48
| ~ spl51_175 ),
inference(avatar_split_clause,[],[f2654,f2634,f1640,f14690]) ).
fof(f14690,plain,
( spl51_618
<=> ! [X0,X3,X2,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK28(X0,X3))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| rpoint(sK37(X0,X1,X2))
| ~ sP1(X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_618])]) ).
fof(f2654,plain,
( ! [X2,X3,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK28(X0,X3))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| rpoint(sK37(X0,X1,X2))
| ~ sP1(X0,X3) )
| ~ spl51_48
| ~ spl51_175 ),
inference(resolution,[],[f2635,f1641]) ).
fof(f14688,plain,
( spl51_617
| ~ spl51_47
| ~ spl51_175 ),
inference(avatar_split_clause,[],[f2653,f2634,f1636,f14686]) ).
fof(f14686,plain,
( spl51_617
<=> ! [X0,X3,X2,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK28(X3,X0))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| rpoint(sK37(X0,X1,X2))
| ~ sP1(X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_617])]) ).
fof(f2653,plain,
( ! [X2,X3,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK28(X3,X0))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| rpoint(sK37(X0,X1,X2))
| ~ sP1(X3,X0) )
| ~ spl51_47
| ~ spl51_175 ),
inference(resolution,[],[f2635,f1637]) ).
fof(f14684,plain,
( spl51_616
| ~ spl51_41
| ~ spl51_175 ),
inference(avatar_split_clause,[],[f2648,f2634,f1611,f14682]) ).
fof(f14682,plain,
( spl51_616
<=> ! [X0,X3,X2,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK16(X0,X3))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| rpoint(sK37(X0,X1,X2))
| ~ sP0(X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_616])]) ).
fof(f2648,plain,
( ! [X2,X3,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK16(X0,X3))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| rpoint(sK37(X0,X1,X2))
| ~ sP0(X0,X3) )
| ~ spl51_41
| ~ spl51_175 ),
inference(resolution,[],[f2635,f1612]) ).
fof(f14680,plain,
( spl51_615
| ~ spl51_40
| ~ spl51_175 ),
inference(avatar_split_clause,[],[f2647,f2634,f1607,f14678]) ).
fof(f14678,plain,
( spl51_615
<=> ! [X0,X3,X2,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK16(X3,X0))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| rpoint(sK37(X0,X1,X2))
| ~ sP0(X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_615])]) ).
fof(f2647,plain,
( ! [X2,X3,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK16(X3,X0))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| rpoint(sK37(X0,X1,X2))
| ~ sP0(X3,X0) )
| ~ spl51_40
| ~ spl51_175 ),
inference(resolution,[],[f2635,f1608]) ).
fof(f14676,plain,
( spl51_614
| ~ spl51_44
| ~ spl51_175 ),
inference(avatar_split_clause,[],[f2646,f2634,f1624,f14674]) ).
fof(f14674,plain,
( spl51_614
<=> ! [X0,X3,X2,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK15(X0,X3))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| rpoint(sK37(X0,X1,X2))
| ~ sP0(X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_614])]) ).
fof(f2646,plain,
( ! [X2,X3,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK15(X0,X3))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| rpoint(sK37(X0,X1,X2))
| ~ sP0(X0,X3) )
| ~ spl51_44
| ~ spl51_175 ),
inference(resolution,[],[f2635,f1625]) ).
fof(f14672,plain,
( spl51_613
| ~ spl51_450
| ~ spl51_568 ),
inference(avatar_split_clause,[],[f13321,f13265,f6458,f14669]) ).
fof(f14669,plain,
( spl51_613
<=> vd684 = vg(sK13(sK5),sK13(sK5),sK14(sK13(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_613])]) ).
fof(f13265,plain,
( spl51_568
<=> ! [X0] :
( vd684 = vg(X0,X0,sK14(sK13(sK5)))
| ~ rpoint(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_568])]) ).
fof(f13321,plain,
( vd684 = vg(sK13(sK5),sK13(sK5),sK14(sK13(sK5)))
| ~ spl51_450
| ~ spl51_568 ),
inference(resolution,[],[f13266,f6459]) ).
fof(f13266,plain,
( ! [X0] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK14(sK13(sK5))) )
| ~ spl51_568 ),
inference(avatar_component_clause,[],[f13265]) ).
fof(f14667,plain,
( spl51_612
| ~ spl51_43
| ~ spl51_175 ),
inference(avatar_split_clause,[],[f2645,f2634,f1620,f14665]) ).
fof(f14665,plain,
( spl51_612
<=> ! [X0,X3,X2,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK15(X3,X0))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| rpoint(sK37(X0,X1,X2))
| ~ sP0(X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_612])]) ).
fof(f2645,plain,
( ! [X2,X3,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK15(X3,X0))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| rpoint(sK37(X0,X1,X2))
| ~ sP0(X3,X0) )
| ~ spl51_43
| ~ spl51_175 ),
inference(resolution,[],[f2635,f1621]) ).
fof(f14663,plain,
( spl51_611
| ~ spl51_27
| ~ spl51_168 ),
inference(avatar_split_clause,[],[f2566,f2474,f1537,f14661]) ).
fof(f14661,plain,
( spl51_611
<=> ! [X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK13(X0))
| ~ ron(X1,X0)
| rR(sK22(X1,sK13(X0)),X1,sK13(X0))
| sK13(X0) = X1
| ~ rcircle(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_611])]) ).
fof(f1537,plain,
( spl51_27
<=> ! [X1] :
( ron(sK13(X1),X1)
| ~ rcircle(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_27])]) ).
fof(f2474,plain,
( spl51_168
<=> ! [X6,X5,X1] :
( rR(sK22(X5,X6),X5,X6)
| ~ rline(X1)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ ron(X5,X1)
| ~ ron(X6,X1)
| X5 = X6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_168])]) ).
fof(f2566,plain,
( ! [X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK13(X0))
| ~ ron(X1,X0)
| rR(sK22(X1,sK13(X0)),X1,sK13(X0))
| sK13(X0) = X1
| ~ rcircle(X0) )
| ~ spl51_27
| ~ spl51_168 ),
inference(resolution,[],[f2475,f1538]) ).
fof(f1538,plain,
( ! [X1] :
( ron(sK13(X1),X1)
| ~ rcircle(X1) )
| ~ spl51_27 ),
inference(avatar_component_clause,[],[f1537]) ).
fof(f2475,plain,
( ! [X1,X6,X5] :
( ~ ron(X6,X1)
| ~ rline(X1)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ ron(X5,X1)
| rR(sK22(X5,X6),X5,X6)
| X5 = X6 )
| ~ spl51_168 ),
inference(avatar_component_clause,[],[f2474]) ).
fof(f14659,plain,
( spl51_610
| ~ spl51_27
| ~ spl51_167 ),
inference(avatar_split_clause,[],[f2531,f2470,f1537,f14657]) ).
fof(f14657,plain,
( spl51_610
<=> ! [X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK13(X0))
| ~ ron(X1,X0)
| rR(sK13(X0),X1,sK21(X1,sK13(X0)))
| sK13(X0) = X1
| ~ rcircle(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_610])]) ).
fof(f2470,plain,
( spl51_167
<=> ! [X6,X5,X1] :
( rR(X6,X5,sK21(X5,X6))
| ~ rline(X1)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ ron(X5,X1)
| ~ ron(X6,X1)
| X5 = X6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_167])]) ).
fof(f2531,plain,
( ! [X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK13(X0))
| ~ ron(X1,X0)
| rR(sK13(X0),X1,sK21(X1,sK13(X0)))
| sK13(X0) = X1
| ~ rcircle(X0) )
| ~ spl51_27
| ~ spl51_167 ),
inference(resolution,[],[f2471,f1538]) ).
fof(f2471,plain,
( ! [X1,X6,X5] :
( ~ ron(X6,X1)
| ~ rline(X1)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ ron(X5,X1)
| rR(X6,X5,sK21(X5,X6))
| X5 = X6 )
| ~ spl51_167 ),
inference(avatar_component_clause,[],[f2470]) ).
fof(f14655,plain,
( spl51_609
| ~ spl51_21
| ~ spl51_163 ),
inference(avatar_split_clause,[],[f2505,f2454,f1513,f14653]) ).
fof(f14653,plain,
( spl51_609
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vangle(X0,X1,sK14(X2)) = vangle(sK14(X2),X1,X0)
| X0 = X1
| sK14(X2) = X0
| ~ rpoint(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_609])]) ).
fof(f1513,plain,
( spl51_21
<=> ! [X1] :
( rpoint(sK14(X1))
| ~ rpoint(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_21])]) ).
fof(f2454,plain,
( spl51_163
<=> ! [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,[spl51_163])]) ).
fof(f2505,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vangle(X0,X1,sK14(X2)) = vangle(sK14(X2),X1,X0)
| X0 = X1
| sK14(X2) = X0
| ~ rpoint(X2) )
| ~ spl51_21
| ~ spl51_163 ),
inference(resolution,[],[f2455,f1514]) ).
fof(f1514,plain,
( ! [X1] :
( rpoint(sK14(X1))
| ~ rpoint(X1) )
| ~ spl51_21 ),
inference(avatar_component_clause,[],[f1513]) ).
fof(f2455,plain,
( ! [X3,X4,X5] :
( ~ rpoint(X5)
| ~ rpoint(X3)
| ~ rpoint(X4)
| vangle(X3,X4,X5) = vangle(X5,X4,X3)
| X3 = X4
| X3 = X5 )
| ~ spl51_163 ),
inference(avatar_component_clause,[],[f2454]) ).
fof(f14651,plain,
( spl51_608
| ~ spl51_20
| ~ spl51_163 ),
inference(avatar_split_clause,[],[f2504,f2454,f1509,f14649]) ).
fof(f14649,plain,
( spl51_608
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vangle(X0,X1,sK13(X2)) = vangle(sK13(X2),X1,X0)
| X0 = X1
| sK13(X2) = X0
| ~ rcircle(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_608])]) ).
fof(f1509,plain,
( spl51_20
<=> ! [X1] :
( rpoint(sK13(X1))
| ~ rcircle(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_20])]) ).
fof(f2504,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vangle(X0,X1,sK13(X2)) = vangle(sK13(X2),X1,X0)
| X0 = X1
| sK13(X2) = X0
| ~ rcircle(X2) )
| ~ spl51_20
| ~ spl51_163 ),
inference(resolution,[],[f2455,f1510]) ).
fof(f1510,plain,
( ! [X1] :
( rpoint(sK13(X1))
| ~ rcircle(X1) )
| ~ spl51_20 ),
inference(avatar_component_clause,[],[f1509]) ).
fof(f14647,plain,
( spl51_607
| ~ spl51_19
| ~ spl51_163 ),
inference(avatar_split_clause,[],[f2503,f2454,f1505,f14645]) ).
fof(f14645,plain,
( spl51_607
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vangle(X0,X1,sK12(X2)) = vangle(sK12(X2),X1,X0)
| X0 = X1
| sK12(X2) = X0
| ~ rcircle(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_607])]) ).
fof(f1505,plain,
( spl51_19
<=> ! [X1] :
( rpoint(sK12(X1))
| ~ rcircle(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_19])]) ).
fof(f2503,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vangle(X0,X1,sK12(X2)) = vangle(sK12(X2),X1,X0)
| X0 = X1
| sK12(X2) = X0
| ~ rcircle(X2) )
| ~ spl51_19
| ~ spl51_163 ),
inference(resolution,[],[f2455,f1506]) ).
fof(f1506,plain,
( ! [X1] :
( rpoint(sK12(X1))
| ~ rcircle(X1) )
| ~ spl51_19 ),
inference(avatar_component_clause,[],[f1505]) ).
fof(f14643,plain,
( spl51_606
| ~ spl51_18
| ~ spl51_163 ),
inference(avatar_split_clause,[],[f2502,f2454,f1501,f14641]) ).
fof(f14641,plain,
( spl51_606
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vangle(X0,X1,sK11(X2)) = vangle(sK11(X2),X1,X0)
| X0 = X1
| sK11(X2) = X0
| ~ rcircle(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_606])]) ).
fof(f1501,plain,
( spl51_18
<=> ! [X1] :
( rpoint(sK11(X1))
| ~ rcircle(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_18])]) ).
fof(f2502,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vangle(X0,X1,sK11(X2)) = vangle(sK11(X2),X1,X0)
| X0 = X1
| sK11(X2) = X0
| ~ rcircle(X2) )
| ~ spl51_18
| ~ spl51_163 ),
inference(resolution,[],[f2455,f1502]) ).
fof(f1502,plain,
( ! [X1] :
( rpoint(sK11(X1))
| ~ rcircle(X1) )
| ~ spl51_18 ),
inference(avatar_component_clause,[],[f1501]) ).
fof(f14639,plain,
( spl51_605
| ~ spl51_16
| ~ spl51_163 ),
inference(avatar_split_clause,[],[f2501,f2454,f1493,f14637]) ).
fof(f14637,plain,
( spl51_605
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vangle(X0,X1,sK10(X2)) = vangle(sK10(X2),X1,X0)
| X0 = X1
| sK10(X2) = X0
| ~ rline(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_605])]) ).
fof(f1493,plain,
( spl51_16
<=> ! [X1] :
( rpoint(sK10(X1))
| ~ rline(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_16])]) ).
fof(f2501,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vangle(X0,X1,sK10(X2)) = vangle(sK10(X2),X1,X0)
| X0 = X1
| sK10(X2) = X0
| ~ rline(X2) )
| ~ spl51_16
| ~ spl51_163 ),
inference(resolution,[],[f2455,f1494]) ).
fof(f1494,plain,
( ! [X1] :
( rpoint(sK10(X1))
| ~ rline(X1) )
| ~ spl51_16 ),
inference(avatar_component_clause,[],[f1493]) ).
fof(f14635,plain,
( spl51_604
| ~ spl51_120
| ~ spl51_160 ),
inference(avatar_split_clause,[],[f2444,f2419,f2051,f14633]) ).
fof(f14633,plain,
( spl51_604
<=> ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| ~ rpoint(X2)
| ~ rS(X2,X1,X0)
| ~ rpoint(sK39(X0,X1,X2))
| ~ ron(sK39(X0,X1,X2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_604])]) ).
fof(f2051,plain,
( spl51_120
<=> ! [X4,X5,X3] :
( ~ ron(X4,X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rline(X3)
| ~ rS(X4,X5,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_120])]) ).
fof(f2444,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| ~ rpoint(X2)
| ~ rS(X2,X1,X0)
| ~ rpoint(sK39(X0,X1,X2))
| ~ ron(sK39(X0,X1,X2),X0) )
| ~ spl51_120
| ~ spl51_160 ),
inference(duplicate_literal_removal,[],[f2443]) ).
fof(f2443,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| ~ rpoint(X2)
| ~ rS(X2,X1,X0)
| ~ rpoint(sK39(X0,X1,X2))
| ~ rpoint(X1)
| ~ rline(X0)
| ~ ron(sK39(X0,X1,X2),X0) )
| ~ spl51_120
| ~ spl51_160 ),
inference(resolution,[],[f2420,f2052]) ).
fof(f2052,plain,
( ! [X3,X4,X5] :
( ~ rS(X4,X5,X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rline(X3)
| ~ ron(X4,X3) )
| ~ spl51_120 ),
inference(avatar_component_clause,[],[f2051]) ).
fof(f14631,plain,
( spl51_603
| ~ spl51_62
| ~ spl51_141 ),
inference(avatar_split_clause,[],[f2277,f2257,f1708,f14629]) ).
fof(f14629,plain,
( spl51_603
<=> ! [X0,X3,X2,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| ~ rpoint(X2)
| ~ rS(X2,X1,X0)
| ~ rpoint(X3)
| vd684 = vg(X3,X3,sK39(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_603])]) ).
fof(f1708,plain,
( spl51_62
<=> ! [X2,X3] :
( vd684 = vg(X2,X2,X3)
| ~ rpoint(X2)
| ~ rpoint(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_62])]) ).
fof(f2257,plain,
( spl51_141
<=> ! [X5,X1,X3] :
( rpoint(sK39(X1,X3,X5))
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X3,X1)
| ~ rpoint(X5)
| ~ rS(X5,X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_141])]) ).
fof(f2277,plain,
( ! [X2,X3,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| ~ rpoint(X2)
| ~ rS(X2,X1,X0)
| ~ rpoint(X3)
| vd684 = vg(X3,X3,sK39(X0,X1,X2)) )
| ~ spl51_62
| ~ spl51_141 ),
inference(resolution,[],[f2258,f1709]) ).
fof(f1709,plain,
( ! [X2,X3] :
( ~ rpoint(X3)
| ~ rpoint(X2)
| vd684 = vg(X2,X2,X3) )
| ~ spl51_62 ),
inference(avatar_component_clause,[],[f1708]) ).
fof(f2258,plain,
( ! [X3,X1,X5] :
( rpoint(sK39(X1,X3,X5))
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X3,X1)
| ~ rpoint(X5)
| ~ rS(X5,X3,X1) )
| ~ spl51_141 ),
inference(avatar_component_clause,[],[f2257]) ).
fof(f14624,plain,
( spl51_602
| ~ spl51_37
| ~ spl51_141 ),
inference(avatar_split_clause,[],[f2276,f2257,f1581,f14622]) ).
fof(f14622,plain,
( spl51_602
<=> ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| ~ rpoint(X2)
| ~ rS(X2,X1,X0)
| vd684 = vf(sK39(X0,X1,X2),sK39(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_602])]) ).
fof(f1581,plain,
( spl51_37
<=> ! [X3] :
( vd684 = vf(X3,X3)
| ~ rpoint(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_37])]) ).
fof(f2276,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| ~ rpoint(X2)
| ~ rS(X2,X1,X0)
| vd684 = vf(sK39(X0,X1,X2),sK39(X0,X1,X2)) )
| ~ spl51_37
| ~ spl51_141 ),
inference(resolution,[],[f2258,f1582]) ).
fof(f1582,plain,
( ! [X3] :
( ~ rpoint(X3)
| vd684 = vf(X3,X3) )
| ~ spl51_37 ),
inference(avatar_component_clause,[],[f1581]) ).
fof(f14620,plain,
( spl51_601
| ~ spl51_84
| ~ spl51_129 ),
inference(avatar_split_clause,[],[f2191,f2107,f1816,f14618]) ).
fof(f14618,plain,
( spl51_601
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK31(X2,X3)) = sK20(X0,X1,sK31(X2,X3))
| ~ rline(X2)
| ~ rpoint(X3)
| ~ ron(X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_601])]) ).
fof(f1816,plain,
( spl51_84
<=> ! [X1,X3] :
( rpoint(sK31(X1,X3))
| ~ rline(X1)
| ~ rpoint(X3)
| ~ ron(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_84])]) ).
fof(f2107,plain,
( spl51_129
<=> ! [X6,X4,X5] :
( sK20(X4,X5,X6) = vg(X4,X5,X6)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_129])]) ).
fof(f2191,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK31(X2,X3)) = sK20(X0,X1,sK31(X2,X3))
| ~ rline(X2)
| ~ rpoint(X3)
| ~ ron(X3,X2) )
| ~ spl51_84
| ~ spl51_129 ),
inference(resolution,[],[f2108,f1817]) ).
fof(f1817,plain,
( ! [X3,X1] :
( rpoint(sK31(X1,X3))
| ~ rline(X1)
| ~ rpoint(X3)
| ~ ron(X3,X1) )
| ~ spl51_84 ),
inference(avatar_component_clause,[],[f1816]) ).
fof(f2108,plain,
( ! [X6,X4,X5] :
( ~ rpoint(X6)
| ~ rpoint(X4)
| ~ rpoint(X5)
| sK20(X4,X5,X6) = vg(X4,X5,X6) )
| ~ spl51_129 ),
inference(avatar_component_clause,[],[f2107]) ).
fof(f14616,plain,
( spl51_600
| ~ spl51_81
| ~ spl51_129 ),
inference(avatar_split_clause,[],[f2187,f2107,f1803,f14614]) ).
fof(f14614,plain,
( spl51_600
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK27(X2,X3)) = sK20(X0,X1,sK27(X2,X3))
| ~ rcircle(X2)
| ~ rline(X3)
| ~ rintersect(X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_600])]) ).
fof(f1803,plain,
( spl51_81
<=> ! [X1,X3] :
( rpoint(sK27(X1,X3))
| ~ rcircle(X1)
| ~ rline(X3)
| ~ rintersect(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_81])]) ).
fof(f2187,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK27(X2,X3)) = sK20(X0,X1,sK27(X2,X3))
| ~ rcircle(X2)
| ~ rline(X3)
| ~ rintersect(X3,X2) )
| ~ spl51_81
| ~ spl51_129 ),
inference(resolution,[],[f2108,f1804]) ).
fof(f1804,plain,
( ! [X3,X1] :
( rpoint(sK27(X1,X3))
| ~ rcircle(X1)
| ~ rline(X3)
| ~ rintersect(X3,X1) )
| ~ spl51_81 ),
inference(avatar_component_clause,[],[f1803]) ).
fof(f14612,plain,
( spl51_599
| ~ spl51_80
| ~ spl51_129 ),
inference(avatar_split_clause,[],[f2186,f2107,f1799,f14610]) ).
fof(f14610,plain,
( spl51_599
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK26(X2,X3)) = sK20(X0,X1,sK26(X2,X3))
| ~ rline(X2)
| ~ rline(X3)
| ~ rintersect(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_599])]) ).
fof(f1799,plain,
( spl51_80
<=> ! [X1,X3] :
( rpoint(sK26(X1,X3))
| ~ rline(X1)
| ~ rline(X3)
| ~ rintersect(X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_80])]) ).
fof(f2186,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK26(X2,X3)) = sK20(X0,X1,sK26(X2,X3))
| ~ rline(X2)
| ~ rline(X3)
| ~ rintersect(X2,X3) )
| ~ spl51_80
| ~ spl51_129 ),
inference(resolution,[],[f2108,f1800]) ).
fof(f1800,plain,
( ! [X3,X1] :
( rpoint(sK26(X1,X3))
| ~ rline(X1)
| ~ rline(X3)
| ~ rintersect(X1,X3) )
| ~ spl51_80 ),
inference(avatar_component_clause,[],[f1799]) ).
fof(f14608,plain,
( spl51_598
| ~ spl51_78
| ~ spl51_129 ),
inference(avatar_split_clause,[],[f2185,f2107,f1791,f14606]) ).
fof(f14606,plain,
( spl51_598
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK25(X2,X3)) = sK20(X0,X1,sK25(X2,X3))
| ~ rline(X2)
| ~ rpoint(X3)
| ron(X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_598])]) ).
fof(f1791,plain,
( spl51_78
<=> ! [X1,X3] :
( rpoint(sK25(X1,X3))
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_78])]) ).
fof(f2185,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK25(X2,X3)) = sK20(X0,X1,sK25(X2,X3))
| ~ rline(X2)
| ~ rpoint(X3)
| ron(X3,X2) )
| ~ spl51_78
| ~ spl51_129 ),
inference(resolution,[],[f2108,f1792]) ).
fof(f1792,plain,
( ! [X3,X1] :
( rpoint(sK25(X1,X3))
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X3,X1) )
| ~ spl51_78 ),
inference(avatar_component_clause,[],[f1791]) ).
fof(f14604,plain,
( spl51_597
| ~ spl51_77
| ~ spl51_129 ),
inference(avatar_split_clause,[],[f2184,f2107,f1787,f14602]) ).
fof(f14602,plain,
( spl51_597
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK24(X2,X3)) = sK20(X0,X1,sK24(X2,X3))
| ~ rline(X2)
| ~ rpoint(X3)
| ron(X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_597])]) ).
fof(f1787,plain,
( spl51_77
<=> ! [X1,X3] :
( rpoint(sK24(X1,X3))
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_77])]) ).
fof(f2184,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK24(X2,X3)) = sK20(X0,X1,sK24(X2,X3))
| ~ rline(X2)
| ~ rpoint(X3)
| ron(X3,X2) )
| ~ spl51_77
| ~ spl51_129 ),
inference(resolution,[],[f2108,f1788]) ).
fof(f1788,plain,
( ! [X3,X1] :
( rpoint(sK24(X1,X3))
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X3,X1) )
| ~ spl51_77 ),
inference(avatar_component_clause,[],[f1787]) ).
fof(f14600,plain,
( spl51_596
| ~ spl51_84
| ~ spl51_128 ),
inference(avatar_split_clause,[],[f2167,f2103,f1816,f14598]) ).
fof(f14598,plain,
( spl51_596
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK31(X2,X3)) = vg(X0,sK31(X2,X3),X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ~ ron(X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_596])]) ).
fof(f2103,plain,
( spl51_128
<=> ! [X4,X5,X3] :
( vg(X3,X4,X5) = vg(X3,X5,X4)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_128])]) ).
fof(f2167,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK31(X2,X3)) = vg(X0,sK31(X2,X3),X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ~ ron(X3,X2) )
| ~ spl51_84
| ~ spl51_128 ),
inference(resolution,[],[f2104,f1817]) ).
fof(f2104,plain,
( ! [X3,X4,X5] :
( ~ rpoint(X5)
| ~ rpoint(X3)
| ~ rpoint(X4)
| vg(X3,X4,X5) = vg(X3,X5,X4) )
| ~ spl51_128 ),
inference(avatar_component_clause,[],[f2103]) ).
fof(f14596,plain,
( spl51_595
| ~ spl51_81
| ~ spl51_128 ),
inference(avatar_split_clause,[],[f2163,f2103,f1803,f14594]) ).
fof(f14594,plain,
( spl51_595
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK27(X2,X3)) = vg(X0,sK27(X2,X3),X1)
| ~ rcircle(X2)
| ~ rline(X3)
| ~ rintersect(X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_595])]) ).
fof(f2163,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK27(X2,X3)) = vg(X0,sK27(X2,X3),X1)
| ~ rcircle(X2)
| ~ rline(X3)
| ~ rintersect(X3,X2) )
| ~ spl51_81
| ~ spl51_128 ),
inference(resolution,[],[f2104,f1804]) ).
fof(f14592,plain,
( spl51_594
| ~ spl51_80
| ~ spl51_128 ),
inference(avatar_split_clause,[],[f2162,f2103,f1799,f14590]) ).
fof(f14590,plain,
( spl51_594
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK26(X2,X3)) = vg(X0,sK26(X2,X3),X1)
| ~ rline(X2)
| ~ rline(X3)
| ~ rintersect(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_594])]) ).
fof(f2162,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK26(X2,X3)) = vg(X0,sK26(X2,X3),X1)
| ~ rline(X2)
| ~ rline(X3)
| ~ rintersect(X2,X3) )
| ~ spl51_80
| ~ spl51_128 ),
inference(resolution,[],[f2104,f1800]) ).
fof(f14588,plain,
( spl51_593
| ~ spl51_78
| ~ spl51_128 ),
inference(avatar_split_clause,[],[f2161,f2103,f1791,f14586]) ).
fof(f14586,plain,
( spl51_593
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK25(X2,X3)) = vg(X0,sK25(X2,X3),X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ron(X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_593])]) ).
fof(f2161,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK25(X2,X3)) = vg(X0,sK25(X2,X3),X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ron(X3,X2) )
| ~ spl51_78
| ~ spl51_128 ),
inference(resolution,[],[f2104,f1792]) ).
fof(f14581,plain,
( spl51_592
| ~ spl51_77
| ~ spl51_128 ),
inference(avatar_split_clause,[],[f2160,f2103,f1787,f14579]) ).
fof(f14579,plain,
( spl51_592
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK24(X2,X3)) = vg(X0,sK24(X2,X3),X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ron(X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_592])]) ).
fof(f2160,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK24(X2,X3)) = vg(X0,sK24(X2,X3),X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ron(X3,X2) )
| ~ spl51_77
| ~ spl51_128 ),
inference(resolution,[],[f2104,f1788]) ).
fof(f14577,plain,
( spl51_591
| ~ spl51_84
| ~ spl51_127 ),
inference(avatar_split_clause,[],[f2138,f2099,f1816,f14575]) ).
fof(f14575,plain,
( spl51_591
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK31(X2,X3)) = vg(sK31(X2,X3),X0,X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ~ ron(X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_591])]) ).
fof(f2099,plain,
( spl51_127
<=> ! [X4,X5,X3] :
( vg(X3,X4,X5) = vg(X5,X3,X4)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_127])]) ).
fof(f2138,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK31(X2,X3)) = vg(sK31(X2,X3),X0,X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ~ ron(X3,X2) )
| ~ spl51_84
| ~ spl51_127 ),
inference(resolution,[],[f2100,f1817]) ).
fof(f2100,plain,
( ! [X3,X4,X5] :
( ~ rpoint(X5)
| ~ rpoint(X3)
| ~ rpoint(X4)
| vg(X3,X4,X5) = vg(X5,X3,X4) )
| ~ spl51_127 ),
inference(avatar_component_clause,[],[f2099]) ).
fof(f14573,plain,
( spl51_590
| ~ spl51_81
| ~ spl51_127 ),
inference(avatar_split_clause,[],[f2134,f2099,f1803,f14571]) ).
fof(f14571,plain,
( spl51_590
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK27(X2,X3)) = vg(sK27(X2,X3),X0,X1)
| ~ rcircle(X2)
| ~ rline(X3)
| ~ rintersect(X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_590])]) ).
fof(f2134,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK27(X2,X3)) = vg(sK27(X2,X3),X0,X1)
| ~ rcircle(X2)
| ~ rline(X3)
| ~ rintersect(X3,X2) )
| ~ spl51_81
| ~ spl51_127 ),
inference(resolution,[],[f2100,f1804]) ).
fof(f14569,plain,
( spl51_589
| ~ spl51_80
| ~ spl51_127 ),
inference(avatar_split_clause,[],[f2133,f2099,f1799,f14567]) ).
fof(f14567,plain,
( spl51_589
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK26(X2,X3)) = vg(sK26(X2,X3),X0,X1)
| ~ rline(X2)
| ~ rline(X3)
| ~ rintersect(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_589])]) ).
fof(f2133,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK26(X2,X3)) = vg(sK26(X2,X3),X0,X1)
| ~ rline(X2)
| ~ rline(X3)
| ~ rintersect(X2,X3) )
| ~ spl51_80
| ~ spl51_127 ),
inference(resolution,[],[f2100,f1800]) ).
fof(f14565,plain,
( spl51_588
| ~ spl51_78
| ~ spl51_127 ),
inference(avatar_split_clause,[],[f2132,f2099,f1791,f14563]) ).
fof(f14563,plain,
( spl51_588
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK25(X2,X3)) = vg(sK25(X2,X3),X0,X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ron(X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_588])]) ).
fof(f2132,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK25(X2,X3)) = vg(sK25(X2,X3),X0,X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ron(X3,X2) )
| ~ spl51_78
| ~ spl51_127 ),
inference(resolution,[],[f2100,f1792]) ).
fof(f14561,plain,
( spl51_587
| ~ spl51_77
| ~ spl51_127 ),
inference(avatar_split_clause,[],[f2131,f2099,f1787,f14559]) ).
fof(f14559,plain,
( spl51_587
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK24(X2,X3)) = vg(sK24(X2,X3),X0,X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ron(X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_587])]) ).
fof(f2131,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK24(X2,X3)) = vg(sK24(X2,X3),X0,X1)
| ~ rline(X2)
| ~ rpoint(X3)
| ron(X3,X2) )
| ~ spl51_77
| ~ spl51_127 ),
inference(resolution,[],[f2100,f1788]) ).
fof(f14369,plain,
( spl51_586
| ~ spl51_27
| ~ spl51_177 ),
inference(avatar_split_clause,[],[f7783,f2677,f1537,f14367]) ).
fof(f14367,plain,
( spl51_586
<=> ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK13(X0))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ron(sK37(X0,X1,X2),X0)
| ~ rcircle(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_586])]) ).
fof(f7783,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK13(X0))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ron(sK37(X0,X1,X2),X0)
| ~ rcircle(X0) )
| ~ spl51_27
| ~ spl51_177 ),
inference(resolution,[],[f2678,f1538]) ).
fof(f14271,plain,
( spl51_585
| ~ spl51_117
| ~ spl51_159 ),
inference(avatar_split_clause,[],[f2439,f2415,f2039,f14269]) ).
fof(f14269,plain,
( spl51_585
<=> ! [X2,X0,X1] :
( ~ rpoint(sK24(X0,X1))
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rline(X0)
| ~ rS(sK24(X0,X1),X2,X0)
| rS(X2,X1,X0)
| ron(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_585])]) ).
fof(f2039,plain,
( spl51_117
<=> ! [X1,X3] :
( rS(sK24(X1,X3),X3,X1)
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_117])]) ).
fof(f2415,plain,
( spl51_159
<=> ! [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,[spl51_159])]) ).
fof(f2439,plain,
( ! [X2,X0,X1] :
( ~ rpoint(sK24(X0,X1))
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rline(X0)
| ~ rS(sK24(X0,X1),X2,X0)
| rS(X2,X1,X0)
| ron(X1,X0) )
| ~ spl51_117
| ~ spl51_159 ),
inference(duplicate_literal_removal,[],[f2438]) ).
fof(f2438,plain,
( ! [X2,X0,X1] :
( ~ rpoint(sK24(X0,X1))
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rline(X0)
| ~ rS(sK24(X0,X1),X2,X0)
| rS(X2,X1,X0)
| ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0) )
| ~ spl51_117
| ~ spl51_159 ),
inference(resolution,[],[f2416,f2040]) ).
fof(f2040,plain,
( ! [X3,X1] :
( rS(sK24(X1,X3),X3,X1)
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X3,X1) )
| ~ spl51_117 ),
inference(avatar_component_clause,[],[f2039]) ).
fof(f2416,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) )
| ~ spl51_159 ),
inference(avatar_component_clause,[],[f2415]) ).
fof(f14267,plain,
( spl51_584
| ~ spl51_62
| ~ spl51_136 ),
inference(avatar_split_clause,[],[f2238,f2223,f1708,f14265]) ).
fof(f14265,plain,
( spl51_584
<=> ! [X0,X3,X2,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ~ rpoint(X3)
| vd684 = vg(X3,X3,sK41(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_584])]) ).
fof(f2238,plain,
( ! [X2,X3,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ~ rpoint(X3)
| vd684 = vg(X3,X3,sK41(X0,X1,X2)) )
| ~ spl51_62
| ~ spl51_136 ),
inference(resolution,[],[f2224,f1709]) ).
fof(f14263,plain,
( spl51_583
| ~ spl51_37
| ~ spl51_136 ),
inference(avatar_split_clause,[],[f2237,f2223,f1581,f14261]) ).
fof(f14261,plain,
( spl51_583
<=> ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| vd684 = vf(sK41(X0,X1,X2),sK41(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_583])]) ).
fof(f2237,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| vd684 = vf(sK41(X0,X1,X2),sK41(X0,X1,X2)) )
| ~ spl51_37
| ~ spl51_136 ),
inference(resolution,[],[f2224,f1582]) ).
fof(f14259,plain,
( spl51_582
| ~ spl51_115
| ~ spl51_126 ),
inference(avatar_split_clause,[],[f2094,f2090,f2031,f14257]) ).
fof(f14257,plain,
( spl51_582
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(sK46(X0,X1,X2,X3))
| ~ rpoint(X1)
| ~ rline(X0)
| rS(X1,sK46(X0,X1,X2,X3),X0)
| ~ sP3(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_582])]) ).
fof(f2031,plain,
( spl51_115
<=> ! [X0,X3,X2,X1] :
( rS(sK46(X0,X1,X2,X3),X1,X0)
| ~ sP3(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_115])]) ).
fof(f2094,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(sK46(X0,X1,X2,X3))
| ~ rpoint(X1)
| ~ rline(X0)
| rS(X1,sK46(X0,X1,X2,X3),X0)
| ~ sP3(X0,X1,X2,X3) )
| ~ spl51_115
| ~ spl51_126 ),
inference(resolution,[],[f2091,f2032]) ).
fof(f2032,plain,
( ! [X2,X3,X0,X1] :
( rS(sK46(X0,X1,X2,X3),X1,X0)
| ~ sP3(X0,X1,X2,X3) )
| ~ spl51_115 ),
inference(avatar_component_clause,[],[f2031]) ).
fof(f13997,plain,
( spl51_581
| ~ spl51_6
| ~ spl51_568 ),
inference(avatar_split_clause,[],[f13316,f13265,f1443,f13994]) ).
fof(f13994,plain,
( spl51_581
<=> vd684 = vg(vd14,vd14,sK14(sK13(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_581])]) ).
fof(f1443,plain,
( spl51_6
<=> rpoint(vd14) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_6])]) ).
fof(f13316,plain,
( vd684 = vg(vd14,vd14,sK14(sK13(sK5)))
| ~ spl51_6
| ~ spl51_568 ),
inference(resolution,[],[f13266,f1445]) ).
fof(f1445,plain,
( rpoint(vd14)
| ~ spl51_6 ),
inference(avatar_component_clause,[],[f1443]) ).
fof(f13991,plain,
( spl51_580
| ~ spl51_27
| ~ spl51_175 ),
inference(avatar_split_clause,[],[f2644,f2634,f1537,f13989]) ).
fof(f13989,plain,
( spl51_580
<=> ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK13(X0))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| rpoint(sK37(X0,X1,X2))
| ~ rcircle(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_580])]) ).
fof(f2644,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK13(X0))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| rpoint(sK37(X0,X1,X2))
| ~ rcircle(X0) )
| ~ spl51_27
| ~ spl51_175 ),
inference(resolution,[],[f2635,f1538]) ).
fof(f13987,plain,
( spl51_579
| ~ spl51_27
| ~ spl51_173 ),
inference(avatar_split_clause,[],[f2601,f2494,f1537,f13985]) ).
fof(f13985,plain,
( spl51_579
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK13(X1))
| ~ rline(X2)
| rS(X0,sK13(X1),X2)
| ~ rline(X1)
| ~ ron(X0,X1)
| rintersect(X2,X1)
| ~ rcircle(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_579])]) ).
fof(f2601,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK13(X1))
| ~ rline(X2)
| rS(X0,sK13(X1),X2)
| ~ rline(X1)
| ~ ron(X0,X1)
| rintersect(X2,X1)
| ~ rcircle(X1) )
| ~ spl51_27
| ~ spl51_173 ),
inference(resolution,[],[f2495,f1538]) ).
fof(f13983,plain,
( spl51_578
| ~ spl51_23
| ~ spl51_168 ),
inference(avatar_split_clause,[],[f2590,f2474,f1521,f13981]) ).
fof(f13981,plain,
( spl51_578
<=> ! [X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK10(X0))
| ~ ron(X1,X0)
| rR(sK22(X1,sK10(X0)),X1,sK10(X0))
| sK10(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_578])]) ).
fof(f2590,plain,
( ! [X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK10(X0))
| ~ ron(X1,X0)
| rR(sK22(X1,sK10(X0)),X1,sK10(X0))
| sK10(X0) = X1 )
| ~ spl51_23
| ~ spl51_168 ),
inference(duplicate_literal_removal,[],[f2565]) ).
fof(f2565,plain,
( ! [X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK10(X0))
| ~ ron(X1,X0)
| rR(sK22(X1,sK10(X0)),X1,sK10(X0))
| sK10(X0) = X1
| ~ rline(X0) )
| ~ spl51_23
| ~ spl51_168 ),
inference(resolution,[],[f2475,f1522]) ).
fof(f13979,plain,
( spl51_577
| ~ spl51_23
| ~ spl51_167 ),
inference(avatar_split_clause,[],[f2555,f2470,f1521,f13977]) ).
fof(f13977,plain,
( spl51_577
<=> ! [X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK10(X0))
| ~ ron(X1,X0)
| rR(sK10(X0),X1,sK21(X1,sK10(X0)))
| sK10(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_577])]) ).
fof(f2555,plain,
( ! [X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK10(X0))
| ~ ron(X1,X0)
| rR(sK10(X0),X1,sK21(X1,sK10(X0)))
| sK10(X0) = X1 )
| ~ spl51_23
| ~ spl51_167 ),
inference(duplicate_literal_removal,[],[f2530]) ).
fof(f2530,plain,
( ! [X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK10(X0))
| ~ ron(X1,X0)
| rR(sK10(X0),X1,sK21(X1,sK10(X0)))
| sK10(X0) = X1
| ~ rline(X0) )
| ~ spl51_23
| ~ spl51_167 ),
inference(resolution,[],[f2471,f1522]) ).
fof(f13975,plain,
( spl51_576
| ~ spl51_115
| ~ spl51_120 ),
inference(avatar_split_clause,[],[f2072,f2051,f2031,f13973]) ).
fof(f13973,plain,
( spl51_576
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(sK46(X0,X1,X2,X3))
| ~ rpoint(X1)
| ~ rline(X0)
| ~ ron(sK46(X0,X1,X2,X3),X0)
| ~ sP3(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_576])]) ).
fof(f2072,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(sK46(X0,X1,X2,X3))
| ~ rpoint(X1)
| ~ rline(X0)
| ~ ron(sK46(X0,X1,X2,X3),X0)
| ~ sP3(X0,X1,X2,X3) )
| ~ spl51_115
| ~ spl51_120 ),
inference(resolution,[],[f2052,f2032]) ).
fof(f13785,plain,
( spl51_575
| ~ spl51_23
| ~ spl51_177 ),
inference(avatar_split_clause,[],[f7808,f2677,f1521,f13783]) ).
fof(f13783,plain,
( spl51_575
<=> ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK10(X0))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ron(sK37(X0,X1,X2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_575])]) ).
fof(f7808,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK10(X0))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ron(sK37(X0,X1,X2),X0) )
| ~ spl51_23
| ~ spl51_177 ),
inference(duplicate_literal_removal,[],[f7782]) ).
fof(f7782,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK10(X0))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ron(sK37(X0,X1,X2),X0)
| ~ rline(X0) )
| ~ spl51_23
| ~ spl51_177 ),
inference(resolution,[],[f2678,f1522]) ).
fof(f13781,plain,
( spl51_574
| ~ spl51_8
| ~ spl51_568 ),
inference(avatar_split_clause,[],[f13315,f13265,f1453,f13778]) ).
fof(f13778,plain,
( spl51_574
<=> vd684 = vg(vd1056,vd1056,sK14(sK13(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_574])]) ).
fof(f13315,plain,
( vd684 = vg(vd1056,vd1056,sK14(sK13(sK5)))
| ~ spl51_8
| ~ spl51_568 ),
inference(resolution,[],[f13266,f1455]) ).
fof(f1455,plain,
( rpoint(vd1056)
| ~ spl51_8 ),
inference(avatar_component_clause,[],[f1453]) ).
fof(f13564,plain,
( spl51_573
| ~ spl51_27
| ~ spl51_146 ),
inference(avatar_split_clause,[],[f2358,f2288,f1537,f13562]) ).
fof(f13562,plain,
( spl51_573
<=> ! [X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK13(X0))
| ~ ron(X1,X0)
| rpoint(sK22(X1,sK13(X0)))
| sK13(X0) = X1
| ~ rcircle(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_573])]) ).
fof(f2358,plain,
( ! [X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK13(X0))
| ~ ron(X1,X0)
| rpoint(sK22(X1,sK13(X0)))
| sK13(X0) = X1
| ~ rcircle(X0) )
| ~ spl51_27
| ~ spl51_146 ),
inference(resolution,[],[f2289,f1538]) ).
fof(f13560,plain,
( spl51_572
| ~ spl51_27
| ~ spl51_145 ),
inference(avatar_split_clause,[],[f2323,f2284,f1537,f13558]) ).
fof(f13558,plain,
( spl51_572
<=> ! [X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK13(X0))
| ~ ron(X1,X0)
| rpoint(sK21(X1,sK13(X0)))
| sK13(X0) = X1
| ~ rcircle(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_572])]) ).
fof(f2323,plain,
( ! [X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK13(X0))
| ~ ron(X1,X0)
| rpoint(sK21(X1,sK13(X0)))
| sK13(X0) = X1
| ~ rcircle(X0) )
| ~ spl51_27
| ~ spl51_145 ),
inference(resolution,[],[f2285,f1538]) ).
fof(f13556,plain,
( spl51_571
| ~ spl51_7
| ~ spl51_568 ),
inference(avatar_split_clause,[],[f13314,f13265,f1448,f13553]) ).
fof(f13553,plain,
( spl51_571
<=> vd684 = vg(vd1058,vd1058,sK14(sK13(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_571])]) ).
fof(f1448,plain,
( spl51_7
<=> rpoint(vd1058) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_7])]) ).
fof(f13314,plain,
( vd684 = vg(vd1058,vd1058,sK14(sK13(sK5)))
| ~ spl51_7
| ~ spl51_568 ),
inference(resolution,[],[f13266,f1450]) ).
fof(f1450,plain,
( rpoint(vd1058)
| ~ spl51_7 ),
inference(avatar_component_clause,[],[f1448]) ).
fof(f13547,plain,
( spl51_570
| ~ spl51_8
| ~ spl51_67
| ~ spl51_94 ),
inference(avatar_split_clause,[],[f2019,f1937,f1746,f1453,f13545]) ).
fof(f13545,plain,
( spl51_570
<=> ! [X0] :
( ~ rpoint(X0)
| ~ ron(vd1058,sK8(vd1056,X0))
| vskolem1061 = sK8(vd1056,X0)
| ~ rcircle(sK8(vd1056,X0))
| vd1056 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_570])]) ).
fof(f1746,plain,
( spl51_67
<=> ! [X0] :
( vskolem1061 = X0
| ~ rcircle(X0)
| ~ rcenter(vd1056,X0)
| ~ ron(vd1058,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_67])]) ).
fof(f1937,plain,
( spl51_94
<=> ! [X4,X3] :
( rcenter(X3,sK8(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_94])]) ).
fof(f2019,plain,
( ! [X0] :
( ~ rpoint(vd1056)
| ~ rpoint(X0)
| vd1056 = X0
| ~ rcircle(sK8(vd1056,X0))
| vskolem1061 = sK8(vd1056,X0)
| ~ ron(vd1058,sK8(vd1056,X0)) )
| ~ spl51_67
| ~ spl51_94 ),
inference(resolution,[],[f1938,f1747]) ).
fof(f1747,plain,
( ! [X0] :
( ~ rcenter(vd1056,X0)
| ~ rcircle(X0)
| vskolem1061 = X0
| ~ ron(vd1058,X0) )
| ~ spl51_67 ),
inference(avatar_component_clause,[],[f1746]) ).
fof(f1938,plain,
( ! [X3,X4] :
( rcenter(X3,sK8(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 = X4 )
| ~ spl51_94 ),
inference(avatar_component_clause,[],[f1937]) ).
fof(f13290,plain,
( spl51_569
| ~ spl51_444
| ~ spl51_450 ),
inference(avatar_split_clause,[],[f7587,f6458,f6342,f13287]) ).
fof(f13287,plain,
( spl51_569
<=> vd684 = vg(sK13(sK5),sK13(sK5),sK32(sK5,vd1056)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_569])]) ).
fof(f6342,plain,
( spl51_444
<=> ! [X0] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK32(sK5,vd1056)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_444])]) ).
fof(f7587,plain,
( vd684 = vg(sK13(sK5),sK13(sK5),sK32(sK5,vd1056))
| ~ spl51_444
| ~ spl51_450 ),
inference(resolution,[],[f6459,f6343]) ).
fof(f6343,plain,
( ! [X0] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK32(sK5,vd1056)) )
| ~ spl51_444 ),
inference(avatar_component_clause,[],[f6342]) ).
fof(f13267,plain,
( spl51_568
| ~ spl51_246
| ~ spl51_450 ),
inference(avatar_split_clause,[],[f7539,f6458,f3810,f13265]) ).
fof(f3810,plain,
( spl51_246
<=> ! [X0,X1] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK14(X1))
| ~ rpoint(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_246])]) ).
fof(f7539,plain,
( ! [X0] :
( vd684 = vg(X0,X0,sK14(sK13(sK5)))
| ~ rpoint(X0) )
| ~ spl51_246
| ~ spl51_450 ),
inference(resolution,[],[f6459,f3811]) ).
fof(f3811,plain,
( ! [X0,X1] :
( ~ rpoint(X1)
| vd684 = vg(X0,X0,sK14(X1))
| ~ rpoint(X0) )
| ~ spl51_246 ),
inference(avatar_component_clause,[],[f3810]) ).
fof(f13163,plain,
( spl51_567
| ~ spl51_23
| ~ spl51_175 ),
inference(avatar_split_clause,[],[f2668,f2634,f1521,f13161]) ).
fof(f13161,plain,
( spl51_567
<=> ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK10(X0))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| rpoint(sK37(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_567])]) ).
fof(f2668,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK10(X0))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| rpoint(sK37(X0,X1,X2)) )
| ~ spl51_23
| ~ spl51_175 ),
inference(duplicate_literal_removal,[],[f2643]) ).
fof(f2643,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK10(X0))
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| rpoint(sK37(X0,X1,X2))
| ~ rline(X0) )
| ~ spl51_23
| ~ spl51_175 ),
inference(resolution,[],[f2635,f1522]) ).
fof(f13159,plain,
( spl51_566
| ~ spl51_23
| ~ spl51_173 ),
inference(avatar_split_clause,[],[f2625,f2494,f1521,f13157]) ).
fof(f13157,plain,
( spl51_566
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK10(X1))
| ~ rline(X2)
| rS(X0,sK10(X1),X2)
| ~ rline(X1)
| ~ ron(X0,X1)
| rintersect(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_566])]) ).
fof(f2625,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK10(X1))
| ~ rline(X2)
| rS(X0,sK10(X1),X2)
| ~ rline(X1)
| ~ ron(X0,X1)
| rintersect(X2,X1) )
| ~ spl51_23
| ~ spl51_173 ),
inference(duplicate_literal_removal,[],[f2600]) ).
fof(f2600,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK10(X1))
| ~ rline(X2)
| rS(X0,sK10(X1),X2)
| ~ rline(X1)
| ~ ron(X0,X1)
| rintersect(X2,X1)
| ~ rline(X1) )
| ~ spl51_23
| ~ spl51_173 ),
inference(resolution,[],[f2495,f1522]) ).
fof(f13155,plain,
( spl51_565
| ~ spl51_70
| ~ spl51_84 ),
inference(avatar_split_clause,[],[f1901,f1816,f1758,f13153]) ).
fof(f13153,plain,
( spl51_565
<=> ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ ron(X1,X0)
| ~ rpoint(X2)
| vf(X2,sK31(X0,X1)) = vf(sK31(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_565])]) ).
fof(f1901,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ ron(X1,X0)
| ~ rpoint(X2)
| vf(X2,sK31(X0,X1)) = vf(sK31(X0,X1),X2) )
| ~ spl51_70
| ~ spl51_84 ),
inference(resolution,[],[f1817,f1759]) ).
fof(f13151,plain,
( spl51_564
| ~ spl51_71
| ~ spl51_84 ),
inference(avatar_split_clause,[],[f1900,f1816,f1762,f13149]) ).
fof(f13149,plain,
( spl51_564
<=> ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ ron(X1,X0)
| ~ rpoint(X2)
| vf(X2,sK31(X0,X1)) = sK18(X2,sK31(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_564])]) ).
fof(f1900,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ ron(X1,X0)
| ~ rpoint(X2)
| vf(X2,sK31(X0,X1)) = sK18(X2,sK31(X0,X1)) )
| ~ spl51_71
| ~ spl51_84 ),
inference(resolution,[],[f1817,f1763]) ).
fof(f13147,plain,
( spl51_563
| ~ spl51_70
| ~ spl51_81 ),
inference(avatar_split_clause,[],[f1889,f1803,f1758,f13145]) ).
fof(f13145,plain,
( spl51_563
<=> ! [X2,X0,X1] :
( ~ rcircle(X0)
| ~ rline(X1)
| ~ rintersect(X1,X0)
| ~ rpoint(X2)
| vf(X2,sK27(X0,X1)) = vf(sK27(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_563])]) ).
fof(f1889,plain,
( ! [X2,X0,X1] :
( ~ rcircle(X0)
| ~ rline(X1)
| ~ rintersect(X1,X0)
| ~ rpoint(X2)
| vf(X2,sK27(X0,X1)) = vf(sK27(X0,X1),X2) )
| ~ spl51_70
| ~ spl51_81 ),
inference(resolution,[],[f1804,f1759]) ).
fof(f13143,plain,
( spl51_562
| ~ spl51_71
| ~ spl51_81 ),
inference(avatar_split_clause,[],[f1888,f1803,f1762,f13141]) ).
fof(f13141,plain,
( spl51_562
<=> ! [X2,X0,X1] :
( ~ rcircle(X0)
| ~ rline(X1)
| ~ rintersect(X1,X0)
| ~ rpoint(X2)
| vf(X2,sK27(X0,X1)) = sK18(X2,sK27(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_562])]) ).
fof(f1888,plain,
( ! [X2,X0,X1] :
( ~ rcircle(X0)
| ~ rline(X1)
| ~ rintersect(X1,X0)
| ~ rpoint(X2)
| vf(X2,sK27(X0,X1)) = sK18(X2,sK27(X0,X1)) )
| ~ spl51_71
| ~ spl51_81 ),
inference(resolution,[],[f1804,f1763]) ).
fof(f13104,plain,
( spl51_561
| ~ spl51_70
| ~ spl51_80 ),
inference(avatar_split_clause,[],[f1885,f1799,f1758,f13102]) ).
fof(f13102,plain,
( spl51_561
<=> ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rline(X1)
| ~ rintersect(X0,X1)
| ~ rpoint(X2)
| vf(X2,sK26(X0,X1)) = vf(sK26(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_561])]) ).
fof(f1885,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rline(X1)
| ~ rintersect(X0,X1)
| ~ rpoint(X2)
| vf(X2,sK26(X0,X1)) = vf(sK26(X0,X1),X2) )
| ~ spl51_70
| ~ spl51_80 ),
inference(resolution,[],[f1800,f1759]) ).
fof(f13100,plain,
( spl51_560
| ~ spl51_71
| ~ spl51_80 ),
inference(avatar_split_clause,[],[f1884,f1799,f1762,f13098]) ).
fof(f13098,plain,
( spl51_560
<=> ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rline(X1)
| ~ rintersect(X0,X1)
| ~ rpoint(X2)
| vf(X2,sK26(X0,X1)) = sK18(X2,sK26(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_560])]) ).
fof(f1884,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rline(X1)
| ~ rintersect(X0,X1)
| ~ rpoint(X2)
| vf(X2,sK26(X0,X1)) = sK18(X2,sK26(X0,X1)) )
| ~ spl51_71
| ~ spl51_80 ),
inference(resolution,[],[f1800,f1763]) ).
fof(f13096,plain,
( spl51_559
| ~ spl51_70
| ~ spl51_78 ),
inference(avatar_split_clause,[],[f1878,f1791,f1758,f13094]) ).
fof(f13094,plain,
( spl51_559
<=> ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| ~ rpoint(X2)
| vf(X2,sK25(X0,X1)) = vf(sK25(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_559])]) ).
fof(f1878,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| ~ rpoint(X2)
| vf(X2,sK25(X0,X1)) = vf(sK25(X0,X1),X2) )
| ~ spl51_70
| ~ spl51_78 ),
inference(resolution,[],[f1792,f1759]) ).
fof(f13092,plain,
( spl51_558
| ~ spl51_71
| ~ spl51_78 ),
inference(avatar_split_clause,[],[f1877,f1791,f1762,f13090]) ).
fof(f13090,plain,
( spl51_558
<=> ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| ~ rpoint(X2)
| vf(X2,sK25(X0,X1)) = sK18(X2,sK25(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_558])]) ).
fof(f1877,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| ~ rpoint(X2)
| vf(X2,sK25(X0,X1)) = sK18(X2,sK25(X0,X1)) )
| ~ spl51_71
| ~ spl51_78 ),
inference(resolution,[],[f1792,f1763]) ).
fof(f13088,plain,
( spl51_557
| ~ spl51_70
| ~ spl51_77 ),
inference(avatar_split_clause,[],[f1874,f1787,f1758,f13086]) ).
fof(f13086,plain,
( spl51_557
<=> ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| ~ rpoint(X2)
| vf(X2,sK24(X0,X1)) = vf(sK24(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_557])]) ).
fof(f1874,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| ~ rpoint(X2)
| vf(X2,sK24(X0,X1)) = vf(sK24(X0,X1),X2) )
| ~ spl51_70
| ~ spl51_77 ),
inference(resolution,[],[f1788,f1759]) ).
fof(f13084,plain,
( spl51_556
| ~ spl51_71
| ~ spl51_77 ),
inference(avatar_split_clause,[],[f1873,f1787,f1762,f13082]) ).
fof(f13082,plain,
( spl51_556
<=> ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| ~ rpoint(X2)
| vf(X2,sK24(X0,X1)) = sK18(X2,sK24(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_556])]) ).
fof(f1873,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| ~ rpoint(X2)
| vf(X2,sK24(X0,X1)) = sK18(X2,sK24(X0,X1)) )
| ~ spl51_71
| ~ spl51_77 ),
inference(resolution,[],[f1788,f1763]) ).
fof(f12843,plain,
( spl51_555
| ~ spl51_6
| ~ spl51_163 ),
inference(avatar_split_clause,[],[f2499,f2454,f1443,f12841]) ).
fof(f12841,plain,
( spl51_555
<=> ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vangle(X0,X1,vd14) = vangle(vd14,X1,X0)
| X0 = X1
| vd14 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_555])]) ).
fof(f2499,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vangle(X0,X1,vd14) = vangle(vd14,X1,X0)
| X0 = X1
| vd14 = X0 )
| ~ spl51_6
| ~ spl51_163 ),
inference(resolution,[],[f2455,f1445]) ).
fof(f12839,plain,
( spl51_554
| ~ spl51_8
| ~ spl51_163 ),
inference(avatar_split_clause,[],[f2498,f2454,f1453,f12837]) ).
fof(f12837,plain,
( spl51_554
<=> ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vangle(X0,X1,vd1056) = vangle(vd1056,X1,X0)
| X0 = X1
| vd1056 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_554])]) ).
fof(f2498,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vangle(X0,X1,vd1056) = vangle(vd1056,X1,X0)
| X0 = X1
| vd1056 = X0 )
| ~ spl51_8
| ~ spl51_163 ),
inference(resolution,[],[f2455,f1455]) ).
fof(f12835,plain,
( spl51_553
| ~ spl51_7
| ~ spl51_163 ),
inference(avatar_split_clause,[],[f2497,f2454,f1448,f12833]) ).
fof(f12833,plain,
( spl51_553
<=> ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vangle(X0,X1,vd1058) = vangle(vd1058,X1,X0)
| X0 = X1
| vd1058 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_553])]) ).
fof(f2497,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vangle(X0,X1,vd1058) = vangle(vd1058,X1,X0)
| X0 = X1
| vd1058 = X0 )
| ~ spl51_7
| ~ spl51_163 ),
inference(resolution,[],[f2455,f1450]) ).
fof(f12831,plain,
( spl51_552
| ~ spl51_23
| ~ spl51_146 ),
inference(avatar_split_clause,[],[f2382,f2288,f1521,f12829]) ).
fof(f12829,plain,
( spl51_552
<=> ! [X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK10(X0))
| ~ ron(X1,X0)
| rpoint(sK22(X1,sK10(X0)))
| sK10(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_552])]) ).
fof(f2382,plain,
( ! [X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK10(X0))
| ~ ron(X1,X0)
| rpoint(sK22(X1,sK10(X0)))
| sK10(X0) = X1 )
| ~ spl51_23
| ~ spl51_146 ),
inference(duplicate_literal_removal,[],[f2357]) ).
fof(f2357,plain,
( ! [X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK10(X0))
| ~ ron(X1,X0)
| rpoint(sK22(X1,sK10(X0)))
| sK10(X0) = X1
| ~ rline(X0) )
| ~ spl51_23
| ~ spl51_146 ),
inference(resolution,[],[f2289,f1522]) ).
fof(f12827,plain,
( spl51_551
| ~ spl51_23
| ~ spl51_145 ),
inference(avatar_split_clause,[],[f2347,f2284,f1521,f12825]) ).
fof(f12825,plain,
( spl51_551
<=> ! [X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK10(X0))
| ~ ron(X1,X0)
| rpoint(sK21(X1,sK10(X0)))
| sK10(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_551])]) ).
fof(f2347,plain,
( ! [X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK10(X0))
| ~ ron(X1,X0)
| rpoint(sK21(X1,sK10(X0)))
| sK10(X0) = X1 )
| ~ spl51_23
| ~ spl51_145 ),
inference(duplicate_literal_removal,[],[f2322]) ).
fof(f2322,plain,
( ! [X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ rpoint(sK10(X0))
| ~ ron(X1,X0)
| rpoint(sK21(X1,sK10(X0)))
| sK10(X0) = X1
| ~ rline(X0) )
| ~ spl51_23
| ~ spl51_145 ),
inference(resolution,[],[f2285,f1522]) ).
fof(f12823,plain,
( spl51_550
| ~ spl51_79
| ~ spl51_94 ),
inference(avatar_split_clause,[],[f2015,f1937,f1795,f12821]) ).
fof(f12821,plain,
( spl51_550
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1
| ~ rcircle(sK8(X0,X1))
| ~ rcenter(X2,sK8(X0,X1))
| X0 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_550])]) ).
fof(f1795,plain,
( spl51_79
<=> ! [X2,X1,X3] :
( X2 = X3
| ~ rcircle(X1)
| ~ rcenter(X2,X1)
| ~ rcenter(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_79])]) ).
fof(f2015,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1
| ~ rcircle(sK8(X0,X1))
| ~ rcenter(X2,sK8(X0,X1))
| X0 = X2 )
| ~ spl51_79
| ~ spl51_94 ),
inference(resolution,[],[f1938,f1796]) ).
fof(f1796,plain,
( ! [X2,X3,X1] :
( ~ rcenter(X3,X1)
| ~ rcircle(X1)
| ~ rcenter(X2,X1)
| X2 = X3 )
| ~ spl51_79 ),
inference(avatar_component_clause,[],[f1795]) ).
fof(f12817,plain,
( spl51_549
| ~ spl51_450
| ~ spl51_505 ),
inference(avatar_split_clause,[],[f10062,f9225,f6458,f12814]) ).
fof(f12814,plain,
( spl51_549
<=> vd684 = vg(sK13(sK5),sK13(sK5),sK13(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_549])]) ).
fof(f9225,plain,
( spl51_505
<=> ! [X0] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK13(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_505])]) ).
fof(f10062,plain,
( vd684 = vg(sK13(sK5),sK13(sK5),sK13(sK5))
| ~ spl51_450
| ~ spl51_505 ),
inference(resolution,[],[f9226,f6459]) ).
fof(f9226,plain,
( ! [X0] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK13(sK5)) )
| ~ spl51_505 ),
inference(avatar_component_clause,[],[f9225]) ).
fof(f12028,plain,
( spl51_548
| ~ spl51_16
| ~ spl51_129 ),
inference(avatar_split_clause,[],[f2175,f2107,f1493,f12026]) ).
fof(f12026,plain,
( spl51_548
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK10(X2)) = sK20(X0,X1,sK10(X2))
| ~ rline(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_548])]) ).
fof(f2175,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK10(X2)) = sK20(X0,X1,sK10(X2))
| ~ rline(X2) )
| ~ spl51_16
| ~ spl51_129 ),
inference(resolution,[],[f2108,f1494]) ).
fof(f12024,plain,
( spl51_547
| ~ spl51_16
| ~ spl51_128 ),
inference(avatar_split_clause,[],[f2151,f2103,f1493,f12022]) ).
fof(f12022,plain,
( spl51_547
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK10(X2)) = vg(X0,sK10(X2),X1)
| ~ rline(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_547])]) ).
fof(f2151,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK10(X2)) = vg(X0,sK10(X2),X1)
| ~ rline(X2) )
| ~ spl51_16
| ~ spl51_128 ),
inference(resolution,[],[f2104,f1494]) ).
fof(f12020,plain,
( spl51_546
| ~ spl51_16
| ~ spl51_127 ),
inference(avatar_split_clause,[],[f2122,f2099,f1493,f12018]) ).
fof(f12018,plain,
( spl51_546
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK10(X2)) = vg(sK10(X2),X0,X1)
| ~ rline(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_546])]) ).
fof(f2122,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK10(X2)) = vg(sK10(X2),X0,X1)
| ~ rline(X2) )
| ~ spl51_16
| ~ spl51_127 ),
inference(resolution,[],[f2100,f1494]) ).
fof(f12016,plain,
( spl51_545
| ~ spl51_117
| ~ spl51_126 ),
inference(avatar_split_clause,[],[f2096,f2090,f2039,f12014]) ).
fof(f12014,plain,
( spl51_545
<=> ! [X0,X1] :
( ~ rpoint(sK24(X0,X1))
| ~ rpoint(X1)
| ~ rline(X0)
| rS(X1,sK24(X0,X1),X0)
| ron(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_545])]) ).
fof(f2096,plain,
( ! [X0,X1] :
( ~ rpoint(sK24(X0,X1))
| ~ rpoint(X1)
| ~ rline(X0)
| rS(X1,sK24(X0,X1),X0)
| ron(X1,X0) )
| ~ spl51_117
| ~ spl51_126 ),
inference(duplicate_literal_removal,[],[f2095]) ).
fof(f2095,plain,
( ! [X0,X1] :
( ~ rpoint(sK24(X0,X1))
| ~ rpoint(X1)
| ~ rline(X0)
| rS(X1,sK24(X0,X1),X0)
| ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0) )
| ~ spl51_117
| ~ spl51_126 ),
inference(resolution,[],[f2091,f2040]) ).
fof(f12012,plain,
( spl51_544
| ~ spl51_62
| ~ spl51_84 ),
inference(avatar_split_clause,[],[f1902,f1816,f1708,f12010]) ).
fof(f12010,plain,
( spl51_544
<=> ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ ron(X1,X0)
| ~ rpoint(X2)
| vd684 = vg(X2,X2,sK31(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_544])]) ).
fof(f1902,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ ron(X1,X0)
| ~ rpoint(X2)
| vd684 = vg(X2,X2,sK31(X0,X1)) )
| ~ spl51_62
| ~ spl51_84 ),
inference(resolution,[],[f1817,f1709]) ).
fof(f12001,plain,
( spl51_543
| ~ spl51_62
| ~ spl51_81 ),
inference(avatar_split_clause,[],[f1890,f1803,f1708,f11999]) ).
fof(f11999,plain,
( spl51_543
<=> ! [X2,X0,X1] :
( ~ rcircle(X0)
| ~ rline(X1)
| ~ rintersect(X1,X0)
| ~ rpoint(X2)
| vd684 = vg(X2,X2,sK27(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_543])]) ).
fof(f1890,plain,
( ! [X2,X0,X1] :
( ~ rcircle(X0)
| ~ rline(X1)
| ~ rintersect(X1,X0)
| ~ rpoint(X2)
| vd684 = vg(X2,X2,sK27(X0,X1)) )
| ~ spl51_62
| ~ spl51_81 ),
inference(resolution,[],[f1804,f1709]) ).
fof(f11997,plain,
( spl51_542
| ~ spl51_62
| ~ spl51_80 ),
inference(avatar_split_clause,[],[f1886,f1799,f1708,f11995]) ).
fof(f11995,plain,
( spl51_542
<=> ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rline(X1)
| ~ rintersect(X0,X1)
| ~ rpoint(X2)
| vd684 = vg(X2,X2,sK26(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_542])]) ).
fof(f1886,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rline(X1)
| ~ rintersect(X0,X1)
| ~ rpoint(X2)
| vd684 = vg(X2,X2,sK26(X0,X1)) )
| ~ spl51_62
| ~ spl51_80 ),
inference(resolution,[],[f1800,f1709]) ).
fof(f11993,plain,
( spl51_541
| ~ spl51_62
| ~ spl51_78 ),
inference(avatar_split_clause,[],[f1879,f1791,f1708,f11991]) ).
fof(f11991,plain,
( spl51_541
<=> ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| ~ rpoint(X2)
| vd684 = vg(X2,X2,sK25(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_541])]) ).
fof(f1879,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| ~ rpoint(X2)
| vd684 = vg(X2,X2,sK25(X0,X1)) )
| ~ spl51_62
| ~ spl51_78 ),
inference(resolution,[],[f1792,f1709]) ).
fof(f11989,plain,
( spl51_540
| ~ spl51_62
| ~ spl51_77 ),
inference(avatar_split_clause,[],[f1875,f1787,f1708,f11987]) ).
fof(f11987,plain,
( spl51_540
<=> ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| ~ rpoint(X2)
| vd684 = vg(X2,X2,sK24(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_540])]) ).
fof(f1875,plain,
( ! [X2,X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| ~ rpoint(X2)
| vd684 = vg(X2,X2,sK24(X0,X1)) )
| ~ spl51_62
| ~ spl51_77 ),
inference(resolution,[],[f1788,f1709]) ).
fof(f11736,plain,
( ~ spl51_8
| spl51_538
| ~ spl51_539
| ~ spl51_13
| ~ spl51_145 ),
inference(avatar_split_clause,[],[f2321,f2284,f1478,f11733,f11730,f1453]) ).
fof(f11730,plain,
( spl51_538
<=> ! [X0] :
( ~ rpoint(X0)
| vd1056 = X0
| rpoint(sK21(X0,vd1056))
| ~ ron(X0,vd1063) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_538])]) ).
fof(f11733,plain,
( spl51_539
<=> rline(vd1063) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_539])]) ).
fof(f2321,plain,
( ! [X0] :
( ~ rline(vd1063)
| ~ rpoint(X0)
| ~ rpoint(vd1056)
| ~ ron(X0,vd1063)
| rpoint(sK21(X0,vd1056))
| vd1056 = X0 )
| ~ spl51_13
| ~ spl51_145 ),
inference(resolution,[],[f2285,f1480]) ).
fof(f1480,plain,
( ron(vd1056,vd1063)
| ~ spl51_13 ),
inference(avatar_component_clause,[],[f1478]) ).
fof(f11728,plain,
( spl51_537
| ~ spl51_117
| ~ spl51_120 ),
inference(avatar_split_clause,[],[f2074,f2051,f2039,f11726]) ).
fof(f11726,plain,
( spl51_537
<=> ! [X0,X1] :
( ~ rpoint(sK24(X0,X1))
| ~ rpoint(X1)
| ~ rline(X0)
| ~ ron(sK24(X0,X1),X0)
| ron(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_537])]) ).
fof(f2074,plain,
( ! [X0,X1] :
( ~ rpoint(sK24(X0,X1))
| ~ rpoint(X1)
| ~ rline(X0)
| ~ ron(sK24(X0,X1),X0)
| ron(X1,X0) )
| ~ spl51_117
| ~ spl51_120 ),
inference(duplicate_literal_removal,[],[f2073]) ).
fof(f2073,plain,
( ! [X0,X1] :
( ~ rpoint(sK24(X0,X1))
| ~ rpoint(X1)
| ~ rline(X0)
| ~ ron(sK24(X0,X1),X0)
| ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0) )
| ~ spl51_117
| ~ spl51_120 ),
inference(resolution,[],[f2052,f2040]) ).
fof(f11724,plain,
( spl51_536
| ~ spl51_38
| ~ spl51_94 ),
inference(avatar_split_clause,[],[f2017,f1937,f1599,f11722]) ).
fof(f11722,plain,
( spl51_536
<=> ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1
| sK8(X0,X1) = sK7(X0,sK8(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_536])]) ).
fof(f1599,plain,
( spl51_38
<=> ! [X0,X1] :
( sK7(X0,X1) = X1
| ~ rcenter(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_38])]) ).
fof(f2017,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1
| sK8(X0,X1) = sK7(X0,sK8(X0,X1)) )
| ~ spl51_38
| ~ spl51_94 ),
inference(resolution,[],[f1938,f1600]) ).
fof(f1600,plain,
( ! [X0,X1] :
( ~ rcenter(X0,X1)
| sK7(X0,X1) = X1 )
| ~ spl51_38 ),
inference(avatar_component_clause,[],[f1599]) ).
fof(f11720,plain,
( spl51_535
| ~ spl51_37
| ~ spl51_84 ),
inference(avatar_split_clause,[],[f1903,f1816,f1581,f11718]) ).
fof(f11718,plain,
( spl51_535
<=> ! [X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ ron(X1,X0)
| vd684 = vf(sK31(X0,X1),sK31(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_535])]) ).
fof(f1903,plain,
( ! [X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ~ ron(X1,X0)
| vd684 = vf(sK31(X0,X1),sK31(X0,X1)) )
| ~ spl51_37
| ~ spl51_84 ),
inference(resolution,[],[f1817,f1582]) ).
fof(f11716,plain,
( spl51_534
| ~ spl51_37
| ~ spl51_81 ),
inference(avatar_split_clause,[],[f1891,f1803,f1581,f11714]) ).
fof(f11714,plain,
( spl51_534
<=> ! [X0,X1] :
( ~ rcircle(X0)
| ~ rline(X1)
| ~ rintersect(X1,X0)
| vd684 = vf(sK27(X0,X1),sK27(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_534])]) ).
fof(f1891,plain,
( ! [X0,X1] :
( ~ rcircle(X0)
| ~ rline(X1)
| ~ rintersect(X1,X0)
| vd684 = vf(sK27(X0,X1),sK27(X0,X1)) )
| ~ spl51_37
| ~ spl51_81 ),
inference(resolution,[],[f1804,f1582]) ).
fof(f11712,plain,
( spl51_533
| ~ spl51_37
| ~ spl51_80 ),
inference(avatar_split_clause,[],[f1887,f1799,f1581,f11710]) ).
fof(f11710,plain,
( spl51_533
<=> ! [X0,X1] :
( ~ rline(X0)
| ~ rline(X1)
| ~ rintersect(X0,X1)
| vd684 = vf(sK26(X0,X1),sK26(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_533])]) ).
fof(f1887,plain,
( ! [X0,X1] :
( ~ rline(X0)
| ~ rline(X1)
| ~ rintersect(X0,X1)
| vd684 = vf(sK26(X0,X1),sK26(X0,X1)) )
| ~ spl51_37
| ~ spl51_80 ),
inference(resolution,[],[f1800,f1582]) ).
fof(f11708,plain,
( spl51_532
| ~ spl51_238
| ~ spl51_450
| ~ spl51_509 ),
inference(avatar_split_clause,[],[f9636,f9632,f6458,f3598,f11705]) ).
fof(f11705,plain,
( spl51_532
<=> vf(vd14,sK13(sK5)) = sK18(sK13(sK5),vd14) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_532])]) ).
fof(f3598,plain,
( spl51_238
<=> ! [X0] :
( ~ rpoint(X0)
| vf(X0,vd14) = sK18(X0,vd14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_238])]) ).
fof(f9632,plain,
( spl51_509
<=> vf(vd14,sK13(sK5)) = vf(sK13(sK5),vd14) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_509])]) ).
fof(f9636,plain,
( vf(vd14,sK13(sK5)) = sK18(sK13(sK5),vd14)
| ~ spl51_238
| ~ spl51_450
| ~ spl51_509 ),
inference(forward_demodulation,[],[f9634,f7535]) ).
fof(f7535,plain,
( vf(sK13(sK5),vd14) = sK18(sK13(sK5),vd14)
| ~ spl51_238
| ~ spl51_450 ),
inference(resolution,[],[f6459,f3599]) ).
fof(f3599,plain,
( ! [X0] :
( ~ rpoint(X0)
| vf(X0,vd14) = sK18(X0,vd14) )
| ~ spl51_238 ),
inference(avatar_component_clause,[],[f3598]) ).
fof(f9634,plain,
( vf(vd14,sK13(sK5)) = vf(sK13(sK5),vd14)
| ~ spl51_509 ),
inference(avatar_component_clause,[],[f9632]) ).
fof(f11703,plain,
( spl51_531
| ~ spl51_37
| ~ spl51_78 ),
inference(avatar_split_clause,[],[f1880,f1791,f1581,f11701]) ).
fof(f11701,plain,
( spl51_531
<=> ! [X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| vd684 = vf(sK25(X0,X1),sK25(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_531])]) ).
fof(f1880,plain,
( ! [X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| vd684 = vf(sK25(X0,X1),sK25(X0,X1)) )
| ~ spl51_37
| ~ spl51_78 ),
inference(resolution,[],[f1792,f1582]) ).
fof(f11699,plain,
( spl51_530
| ~ spl51_37
| ~ spl51_77 ),
inference(avatar_split_clause,[],[f1876,f1787,f1581,f11697]) ).
fof(f11697,plain,
( spl51_530
<=> ! [X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| vd684 = vf(sK24(X0,X1),sK24(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_530])]) ).
fof(f1876,plain,
( ! [X0,X1] :
( ~ rline(X0)
| ~ rpoint(X1)
| ron(X1,X0)
| vd684 = vf(sK24(X0,X1),sK24(X0,X1)) )
| ~ spl51_37
| ~ spl51_77 ),
inference(resolution,[],[f1788,f1582]) ).
fof(f11623,plain,
( spl51_529
| ~ spl51_26
| ~ spl51_131 ),
inference(avatar_split_clause,[],[f2203,f2115,f1533,f11621]) ).
fof(f11621,plain,
( spl51_529
<=> ! [X0,X1] :
( ~ rpoint(sK12(X0))
| ~ rcircle(X0)
| ~ rline(X1)
| rintersect(X1,X0)
| ~ ron(sK12(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_529])]) ).
fof(f1533,plain,
( spl51_26
<=> ! [X1] :
( rinside(sK12(X1),X1)
| ~ rcircle(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_26])]) ).
fof(f2115,plain,
( spl51_131
<=> ! [X5,X1,X3] :
( rintersect(X5,X3)
| ~ rpoint(X1)
| ~ rcircle(X3)
| ~ rline(X5)
| ~ rinside(X1,X3)
| ~ ron(X1,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_131])]) ).
fof(f2203,plain,
( ! [X0,X1] :
( ~ rpoint(sK12(X0))
| ~ rcircle(X0)
| ~ rline(X1)
| rintersect(X1,X0)
| ~ ron(sK12(X0),X1) )
| ~ spl51_26
| ~ spl51_131 ),
inference(duplicate_literal_removal,[],[f2199]) ).
fof(f2199,plain,
( ! [X0,X1] :
( ~ rpoint(sK12(X0))
| ~ rcircle(X0)
| ~ rline(X1)
| rintersect(X1,X0)
| ~ ron(sK12(X0),X1)
| ~ rcircle(X0) )
| ~ spl51_26
| ~ spl51_131 ),
inference(resolution,[],[f2116,f1534]) ).
fof(f1534,plain,
( ! [X1] :
( rinside(sK12(X1),X1)
| ~ rcircle(X1) )
| ~ spl51_26 ),
inference(avatar_component_clause,[],[f1533]) ).
fof(f2116,plain,
( ! [X3,X1,X5] :
( ~ rinside(X1,X3)
| ~ rpoint(X1)
| ~ rcircle(X3)
| ~ rline(X5)
| rintersect(X5,X3)
| ~ ron(X1,X5) )
| ~ spl51_131 ),
inference(avatar_component_clause,[],[f2115]) ).
fof(f11619,plain,
( spl51_528
| ~ spl51_39
| ~ spl51_94 ),
inference(avatar_split_clause,[],[f2016,f1937,f1603,f11617]) ).
fof(f11617,plain,
( spl51_528
<=> ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1
| sK6(X0,sK8(X0,X1)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_528])]) ).
fof(f1603,plain,
( spl51_39
<=> ! [X0,X1] :
( sK6(X0,X1) = X0
| ~ rcenter(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_39])]) ).
fof(f2016,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1
| sK6(X0,sK8(X0,X1)) = X0 )
| ~ spl51_39
| ~ spl51_94 ),
inference(resolution,[],[f1938,f1604]) ).
fof(f1604,plain,
( ! [X0,X1] :
( ~ rcenter(X0,X1)
| sK6(X0,X1) = X0 )
| ~ spl51_39 ),
inference(avatar_component_clause,[],[f1603]) ).
fof(f11580,plain,
( spl51_527
| ~ spl51_237
| ~ spl51_450
| ~ spl51_508 ),
inference(avatar_split_clause,[],[f9545,f9541,f6458,f3594,f11577]) ).
fof(f11577,plain,
( spl51_527
<=> vf(vd1056,sK13(sK5)) = sK18(sK13(sK5),vd1056) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_527])]) ).
fof(f3594,plain,
( spl51_237
<=> ! [X0] :
( ~ rpoint(X0)
| vf(X0,vd1056) = sK18(X0,vd1056) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_237])]) ).
fof(f9541,plain,
( spl51_508
<=> vf(vd1056,sK13(sK5)) = vf(sK13(sK5),vd1056) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_508])]) ).
fof(f9545,plain,
( vf(vd1056,sK13(sK5)) = sK18(sK13(sK5),vd1056)
| ~ spl51_237
| ~ spl51_450
| ~ spl51_508 ),
inference(forward_demodulation,[],[f9543,f7534]) ).
fof(f7534,plain,
( vf(sK13(sK5),vd1056) = sK18(sK13(sK5),vd1056)
| ~ spl51_237
| ~ spl51_450 ),
inference(resolution,[],[f6459,f3595]) ).
fof(f3595,plain,
( ! [X0] :
( ~ rpoint(X0)
| vf(X0,vd1056) = sK18(X0,vd1056) )
| ~ spl51_237 ),
inference(avatar_component_clause,[],[f3594]) ).
fof(f9543,plain,
( vf(vd1056,sK13(sK5)) = vf(sK13(sK5),vd1056)
| ~ spl51_508 ),
inference(avatar_component_clause,[],[f9541]) ).
fof(f11245,plain,
( spl51_526
| ~ spl51_236
| ~ spl51_450
| ~ spl51_507 ),
inference(avatar_split_clause,[],[f9434,f9430,f6458,f3590,f11242]) ).
fof(f11242,plain,
( spl51_526
<=> vf(vd1058,sK13(sK5)) = sK18(sK13(sK5),vd1058) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_526])]) ).
fof(f3590,plain,
( spl51_236
<=> ! [X0] :
( ~ rpoint(X0)
| vf(X0,vd1058) = sK18(X0,vd1058) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_236])]) ).
fof(f9430,plain,
( spl51_507
<=> vf(vd1058,sK13(sK5)) = vf(sK13(sK5),vd1058) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_507])]) ).
fof(f9434,plain,
( vf(vd1058,sK13(sK5)) = sK18(sK13(sK5),vd1058)
| ~ spl51_236
| ~ spl51_450
| ~ spl51_507 ),
inference(forward_demodulation,[],[f9432,f7533]) ).
fof(f7533,plain,
( vf(sK13(sK5),vd1058) = sK18(sK13(sK5),vd1058)
| ~ spl51_236
| ~ spl51_450 ),
inference(resolution,[],[f6459,f3591]) ).
fof(f3591,plain,
( ! [X0] :
( ~ rpoint(X0)
| vf(X0,vd1058) = sK18(X0,vd1058) )
| ~ spl51_236 ),
inference(avatar_component_clause,[],[f3590]) ).
fof(f9432,plain,
( vf(vd1058,sK13(sK5)) = vf(sK13(sK5),vd1058)
| ~ spl51_507 ),
inference(avatar_component_clause,[],[f9430]) ).
fof(f10960,plain,
( spl51_525
| ~ spl51_16
| ~ spl51_71 ),
inference(avatar_split_clause,[],[f1848,f1762,f1493,f10958]) ).
fof(f10958,plain,
( spl51_525
<=> ! [X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK10(X1)) = sK18(X0,sK10(X1))
| ~ rline(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_525])]) ).
fof(f1848,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK10(X1)) = sK18(X0,sK10(X1))
| ~ rline(X1) )
| ~ spl51_16
| ~ spl51_71 ),
inference(resolution,[],[f1763,f1494]) ).
fof(f10956,plain,
( spl51_524
| ~ spl51_16
| ~ spl51_70 ),
inference(avatar_split_clause,[],[f1832,f1758,f1493,f10954]) ).
fof(f10954,plain,
( spl51_524
<=> ! [X0,X1] :
( ~ rpoint(X0)
| vf(sK10(X1),X0) = vf(X0,sK10(X1))
| ~ rline(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_524])]) ).
fof(f1832,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| vf(sK10(X1),X0) = vf(X0,sK10(X1))
| ~ rline(X1) )
| ~ spl51_16
| ~ spl51_70 ),
inference(resolution,[],[f1759,f1494]) ).
fof(f10920,plain,
( spl51_523
| ~ spl51_22
| ~ spl51_94 ),
inference(avatar_split_clause,[],[f2018,f1937,f1517,f10918]) ).
fof(f10918,plain,
( spl51_523
<=> ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1
| rinside(X0,sK8(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_523])]) ).
fof(f1517,plain,
( spl51_22
<=> ! [X0,X1] :
( rinside(X0,X1)
| ~ rcenter(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_22])]) ).
fof(f2018,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1
| rinside(X0,sK8(X0,X1)) )
| ~ spl51_22
| ~ spl51_94 ),
inference(resolution,[],[f1938,f1518]) ).
fof(f1518,plain,
( ! [X0,X1] :
( ~ rcenter(X0,X1)
| rinside(X0,X1) )
| ~ spl51_22 ),
inference(avatar_component_clause,[],[f1517]) ).
fof(f10783,plain,
( spl51_522
| ~ spl51_16
| ~ spl51_62 ),
inference(avatar_split_clause,[],[f1723,f1708,f1493,f10781]) ).
fof(f10781,plain,
( spl51_522
<=> ! [X0,X1] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK10(X1))
| ~ rline(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_522])]) ).
fof(f1723,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK10(X1))
| ~ rline(X1) )
| ~ spl51_16
| ~ spl51_62 ),
inference(resolution,[],[f1709,f1494]) ).
fof(f10520,plain,
( spl51_521
| ~ spl51_16
| ~ spl51_37 ),
inference(avatar_split_clause,[],[f1589,f1581,f1493,f10518]) ).
fof(f10518,plain,
( spl51_521
<=> ! [X0] :
( vd684 = vf(sK10(X0),sK10(X0))
| ~ rline(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_521])]) ).
fof(f1589,plain,
( ! [X0] :
( vd684 = vf(sK10(X0),sK10(X0))
| ~ rline(X0) )
| ~ spl51_16
| ~ spl51_37 ),
inference(resolution,[],[f1582,f1494]) ).
fof(f10381,plain,
spl51_520,
inference(avatar_split_clause,[],[f1412,f10379]) ).
fof(f10379,plain,
( spl51_520
<=> ! [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,[spl51_520])]) ).
fof(f1412,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,[],[f1411]) ).
fof(f1411,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,[],[f1410]) ).
fof(f1410,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,[],[f1409]) ).
fof(f1409,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,[],[f1408]) ).
fof(f1408,plain,
! [X25,X32,X33,X31,X21,X28,X29,X18,X19,X26,X16,X14,X27,X17,X15,X22,X24,X23,X13,X30,X20] :
( vangle(X13,X14,X15) = vangle(X28,X29,X30)
| ~ 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,[],[f1407]) ).
fof(f1407,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,[],[f1406]) ).
fof(f1406,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,[],[f1405]) ).
fof(f1405,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,[],[f1404]) ).
fof(f1404,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,[],[f1403]) ).
fof(f1403,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,[],[f1402]) ).
fof(f1402,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,[],[f1401]) ).
fof(f1401,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,[],[f1400]) ).
fof(f1400,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,[],[f1399]) ).
fof(f1399,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,[],[f1398]) ).
fof(f1398,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,[],[f1397]) ).
fof(f1397,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,[],[f1396]) ).
fof(f1396,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,[],[f776]) ).
fof(f776,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,[],[f414]) ).
fof(f414,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,[],[f404,f413]) ).
fof(f413,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(X34,X36,X35) = vangle(X0,X2,X1)
& 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(f404,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(X34,X36,X35) = vangle(X0,X2,X1)
& 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,[],[f403]) ).
fof(f403,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(X34,X36,X35) = vangle(X0,X2,X1)
& 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,[],[f208]) ).
fof(f208,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(X34,X36,X35) = vangle(X0,X2,X1)
& 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,[],[f11]) ).
fof(f11,axiom,
! [X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36] :
( ( ? [X55] :
( rpoint(X55)
& X19 = X55 )
& ? [X54] :
( rpoint(X54)
& X20 = X54 )
& ? [X53] :
( rpoint(X53)
& X21 = X53 )
& X19 != X20
& X19 != X21
& X20 != X21
& ? [X52] :
( rpoint(X52)
& X22 = X52 )
& ? [X51] :
( rpoint(X51)
& X23 = X51 )
& ? [X50] :
( rpoint(X50)
& X24 = X50 )
& ? [X49] :
( rpoint(X49)
& X25 = X49 )
& ? [X48] :
( rpoint(X48)
& X26 = X48 )
& ? [X47] :
( rpoint(X47)
& X27 = X47 )
& ? [X46] :
( rpoint(X46)
& X28 = X46 )
& ? [X45] :
( rpoint(X45)
& X29 = X45 )
& ? [X44] :
( rpoint(X44)
& X30 = X44 )
& ? [X43] :
( rpoint(X43)
& X31 = X43 )
& ? [X42] :
( rpoint(X42)
& X32 = X42 )
& ? [X41] :
( rpoint(X41)
& X33 = X41 )
& ? [X40] :
( rpoint(X40)
& X34 = X40 )
& rline(X36)
& ron(X22,X35)
& ron(X23,X35)
& ~ ron(X24,X35)
& ! [X37,X38,X39] :
( ( rpoint(X37)
& rpoint(X38)
& rpoint(X39)
& X22 = X37
& vangle(X39,X38,X37) = vangle(X21,X20,X19)
& vangle(X38,X37,X39) = vangle(X20,X19,X21)
& vangle(X37,X39,X38) = vangle(X19,X21,X20)
& vf(X19,X20) = vf(X37,X38)
& vf(X20,X21) = vf(X38,X39)
& vf(X19,X21) = vf(X37,X39)
& ron(X38,X35)
& ~ rR(X22,X38,X23)
& rS(X39,X24,X35) )
=> ( vf(X25,X26) = vf(X27,X28)
& vangle(X29,X30,X31) = vangle(X32,X33,X34) ) )
& X35 = X36 )
=> ( vf(X25,X26) = vf(X27,X28)
& vangle(X29,X30,X31) = vangle(X32,X33,X34) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(204), 0), imp(cond(axiom(204), 0)))') ).
fof(f10376,plain,
( spl51_519
| ~ spl51_6
| ~ spl51_505 ),
inference(avatar_split_clause,[],[f10057,f9225,f1443,f10373]) ).
fof(f10373,plain,
( spl51_519
<=> vd684 = vg(vd14,vd14,sK13(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_519])]) ).
fof(f10057,plain,
( vd684 = vg(vd14,vd14,sK13(sK5))
| ~ spl51_6
| ~ spl51_505 ),
inference(resolution,[],[f9226,f1445]) ).
fof(f10365,plain,
spl51_518,
inference(avatar_split_clause,[],[f1395,f10363]) ).
fof(f10363,plain,
( spl51_518
<=> ! [X33,X31,X21,X28,X29,X18,X19,X26,X27,X17,X24,X22,X25,X23,X30,X20,X32] :
( vf(X24,X25) = vf(X26,X27)
| ~ 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,[spl51_518])]) ).
fof(f1395,plain,
! [X33,X31,X21,X28,X29,X18,X19,X26,X27,X17,X24,X22,X25,X23,X30,X20,X32] :
( vf(X24,X25) = vf(X26,X27)
| ~ 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,[],[f1394]) ).
fof(f1394,plain,
! [X33,X31,X21,X28,X29,X18,X19,X26,X16,X27,X17,X24,X22,X25,X23,X30,X20,X32] :
( vf(X24,X25) = vf(X26,X27)
| ~ 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,[],[f1393]) ).
fof(f1393,plain,
! [X33,X15,X31,X21,X28,X29,X18,X19,X26,X16,X27,X17,X24,X22,X25,X23,X30,X20,X32] :
( vf(X24,X25) = vf(X26,X27)
| ~ 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,[],[f1392]) ).
fof(f1392,plain,
! [X33,X15,X31,X21,X28,X29,X18,X19,X26,X16,X27,X14,X17,X24,X22,X25,X23,X30,X20,X32] :
( vf(X24,X25) = vf(X26,X27)
| ~ 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,[],[f1391]) ).
fof(f1391,plain,
! [X32,X33,X15,X31,X21,X28,X29,X18,X19,X26,X16,X27,X14,X17,X24,X22,X25,X23,X30,X20,X13] :
( vf(X24,X25) = vf(X26,X27)
| ~ 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,[],[f1390]) ).
fof(f1390,plain,
! [X13,X32,X33,X31,X21,X28,X15,X29,X18,X19,X26,X16,X27,X14,X17,X24,X22,X25,X23,X30,X20,X12] :
( vf(X24,X25) = vf(X26,X27)
| ~ 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,[],[f1389]) ).
fof(f1389,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(X24,X25) = vf(X26,X27)
| ~ 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,[],[f1388]) ).
fof(f1388,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(X24,X25) = vf(X26,X27)
| ~ 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,[],[f1387]) ).
fof(f1387,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,[],[f1386]) ).
fof(f1386,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,[],[f1385]) ).
fof(f1385,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,[],[f1384]) ).
fof(f1384,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,[],[f1383]) ).
fof(f1383,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,[],[f1382]) ).
fof(f1382,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,[],[f1381]) ).
fof(f1381,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,[],[f1380]) ).
fof(f1380,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,[],[f1379]) ).
fof(f1379,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,[],[f777]) ).
fof(f777,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,[],[f414]) ).
fof(f10357,plain,
spl51_517,
inference(avatar_split_clause,[],[f1378,f10355]) ).
fof(f10355,plain,
( spl51_517
<=> ! [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,[spl51_517])]) ).
fof(f1378,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,[],[f1377]) ).
fof(f1377,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,[],[f1376]) ).
fof(f1376,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,[],[f1375]) ).
fof(f1375,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,[],[f1374]) ).
fof(f1374,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,[],[f1373]) ).
fof(f1373,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,[],[f1372]) ).
fof(f1372,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,[],[f1371]) ).
fof(f1371,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,[],[f760]) ).
fof(f760,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,[],[f402]) ).
fof(f402,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,[],[f401]) ).
fof(f401,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,[],[f207]) ).
fof(f207,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,[],[f15]) ).
fof(f15,axiom,
! [X81,X82,X83,X84,X85,X86,X87,X88] :
( ( ? [X96] :
( rpoint(X96)
& X81 = X96 )
& ? [X95] :
( rpoint(X95)
& X82 = X95 )
& ? [X94] :
( rpoint(X94)
& X83 = X94 )
& ? [X93] :
( rpoint(X93)
& X84 = X93 )
& ? [X92] :
( rpoint(X92)
& X85 = X92 )
& ? [X91] :
( rline(X91)
& X86 = X91 )
& ? [X90] :
( rline(X90)
& X87 = X90 )
& ? [X89] :
( rline(X89)
& X88 = X89 )
& ron(X81,X86)
& ron(X82,X86)
& ron(X82,X87)
& ron(X83,X87)
& ron(X83,X88)
& ron(X84,X88)
& X82 != X83
& rS(X81,X84,X87)
& rless(vplus(vangle(X81,X82,X83),vangle(X82,X83,X84)),vplus(vperp,vperp)) )
=> ( rintersect(X86,X87)
& ( ( ron(X85,X86)
& ron(X85,X87) )
=> rS(X85,X81,X87) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(196), 0), imp(cond(axiom(196), 0)))') ).
fof(f10339,plain,
spl51_516,
inference(avatar_split_clause,[],[f1118,f10337]) ).
fof(f10337,plain,
( spl51_516
<=> ! [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,[spl51_516])]) ).
fof(f1118,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,[],[f1117]) ).
fof(f1117,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,[],[f1116]) ).
fof(f1116,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,[],[f1115]) ).
fof(f1115,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,[],[f1114]) ).
fof(f1114,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,[],[f1113]) ).
fof(f1113,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,[],[f697]) ).
fof(f697,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,[],[f498]) ).
fof(f498,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,[],[f497]) ).
fof(f497,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,[],[f348]) ).
fof(f348,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,[],[f347]) ).
fof(f347,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,[],[f179]) ).
fof(f179,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,[],[f18]) ).
fof(f18,axiom,
! [X121,X122,X123,X124,X125,X126] :
( ( ? [X132] :
( rpoint(X132)
& X121 = X132 )
& ? [X131] :
( rpoint(X131)
& X122 = X131 )
& ? [X130] :
( rpoint(X130)
& X123 = X130 )
& ? [X129] :
( rpoint(X129)
& X124 = X129 )
& ? [X128] :
( rline(X128)
& X125 = X128 )
& ? [X127] :
( rline(X127)
& X126 = X127 )
& ron(X121,X125)
& ron(X121,X126)
& ron(X122,X125)
& ron(X123,X126)
& X121 != X122
& X121 != X123
& ~ ron(X124,X125)
& ~ ron(X124,X126)
& X125 != X126 )
=> ( vangle(X122,X121,X123) = vplus(vangle(X122,X121,X124),vangle(X124,X121,X123))
<=> ( rS(X122,X124,X126)
& rS(X123,X124,X125) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(190), 0), imp(cond(axiom(190), 0)))') ).
fof(f10335,plain,
( spl51_515
| ~ spl51_8
| ~ spl51_505 ),
inference(avatar_split_clause,[],[f10056,f9225,f1453,f10332]) ).
fof(f10332,plain,
( spl51_515
<=> vd684 = vg(vd1056,vd1056,sK13(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_515])]) ).
fof(f10056,plain,
( vd684 = vg(vd1056,vd1056,sK13(sK5))
| ~ spl51_8
| ~ spl51_505 ),
inference(resolution,[],[f9226,f1455]) ).
fof(f10288,plain,
spl51_514,
inference(avatar_split_clause,[],[f1275,f10286]) ).
fof(f10286,plain,
( spl51_514
<=> ! [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,[spl51_514])]) ).
fof(f1275,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,[],[f1274]) ).
fof(f1274,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,[],[f1273]) ).
fof(f1273,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,[],[f1272]) ).
fof(f1272,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,[],[f1271]) ).
fof(f1271,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,[],[f1270]) ).
fof(f1270,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,[],[f1269]) ).
fof(f1269,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,[],[f735]) ).
fof(f735,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,[],[f384]) ).
fof(f384,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,[],[f383]) ).
fof(f383,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,[],[f198]) ).
fof(f198,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,[],[f16]) ).
fof(f16,axiom,
! [X97,X98,X99,X100,X101,X102,X103] :
( ( ? [X110] :
( rpoint(X110)
& X97 = X110 )
& ? [X109] :
( rpoint(X109)
& X98 = X109 )
& ? [X108] :
( rpoint(X108)
& X99 = X108 )
& ? [X107] :
( rpoint(X107)
& X100 = X107 )
& ? [X106] :
( rpoint(X106)
& X101 = X106 )
& ? [X105] :
( rline(X105)
& X102 = X105 )
& ? [X104] :
( rline(X104)
& X103 = X104 )
& ron(X97,X102)
& ron(X98,X102)
& ron(X100,X102)
& ron(X99,X103)
& ron(X101,X103)
& X97 != X98
& X97 != X99
& X97 != X100
& X97 != X101
& ~ rR(X97,X98,X100)
& ~ rR(X97,X99,X101) )
=> vangle(X98,X97,X99) = vangle(X100,X97,X101) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(194), 0), imp(cond(axiom(194), 0)))') ).
fof(f10250,plain,
( spl51_513
| ~ spl51_7
| ~ spl51_505 ),
inference(avatar_split_clause,[],[f10055,f9225,f1448,f10247]) ).
fof(f10247,plain,
( spl51_513
<=> vd684 = vg(vd1058,vd1058,sK13(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_513])]) ).
fof(f10055,plain,
( vd684 = vg(vd1058,vd1058,sK13(sK5))
| ~ spl51_7
| ~ spl51_505 ),
inference(resolution,[],[f9226,f1450]) ).
fof(f9979,plain,
( spl51_512
| ~ spl51_238
| ~ spl51_450 ),
inference(avatar_split_clause,[],[f7535,f6458,f3598,f9976]) ).
fof(f9976,plain,
( spl51_512
<=> vf(sK13(sK5),vd14) = sK18(sK13(sK5),vd14) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_512])]) ).
fof(f9880,plain,
( spl51_511
| ~ spl51_237
| ~ spl51_450 ),
inference(avatar_split_clause,[],[f7534,f6458,f3594,f9877]) ).
fof(f9877,plain,
( spl51_511
<=> vf(sK13(sK5),vd1056) = sK18(sK13(sK5),vd1056) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_511])]) ).
fof(f9753,plain,
( spl51_510
| ~ spl51_236
| ~ spl51_450 ),
inference(avatar_split_clause,[],[f7533,f6458,f3590,f9750]) ).
fof(f9750,plain,
( spl51_510
<=> vf(sK13(sK5),vd1058) = sK18(sK13(sK5),vd1058) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_510])]) ).
fof(f9635,plain,
( spl51_509
| ~ spl51_235
| ~ spl51_450 ),
inference(avatar_split_clause,[],[f7532,f6458,f3586,f9632]) ).
fof(f3586,plain,
( spl51_235
<=> ! [X0] :
( ~ rpoint(X0)
| vf(vd14,X0) = vf(X0,vd14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_235])]) ).
fof(f7532,plain,
( vf(vd14,sK13(sK5)) = vf(sK13(sK5),vd14)
| ~ spl51_235
| ~ spl51_450 ),
inference(resolution,[],[f6459,f3587]) ).
fof(f3587,plain,
( ! [X0] :
( ~ rpoint(X0)
| vf(vd14,X0) = vf(X0,vd14) )
| ~ spl51_235 ),
inference(avatar_component_clause,[],[f3586]) ).
fof(f9544,plain,
( spl51_508
| ~ spl51_233
| ~ spl51_450 ),
inference(avatar_split_clause,[],[f7531,f6458,f3578,f9541]) ).
fof(f3578,plain,
( spl51_233
<=> ! [X0] :
( ~ rpoint(X0)
| vf(vd1056,X0) = vf(X0,vd1056) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_233])]) ).
fof(f7531,plain,
( vf(vd1056,sK13(sK5)) = vf(sK13(sK5),vd1056)
| ~ spl51_233
| ~ spl51_450 ),
inference(resolution,[],[f6459,f3579]) ).
fof(f3579,plain,
( ! [X0] :
( ~ rpoint(X0)
| vf(vd1056,X0) = vf(X0,vd1056) )
| ~ spl51_233 ),
inference(avatar_component_clause,[],[f3578]) ).
fof(f9433,plain,
( spl51_507
| ~ spl51_232
| ~ spl51_450 ),
inference(avatar_split_clause,[],[f7530,f6458,f3574,f9430]) ).
fof(f3574,plain,
( spl51_232
<=> ! [X0] :
( ~ rpoint(X0)
| vf(vd1058,X0) = vf(X0,vd1058) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_232])]) ).
fof(f7530,plain,
( vf(vd1058,sK13(sK5)) = vf(sK13(sK5),vd1058)
| ~ spl51_232
| ~ spl51_450 ),
inference(resolution,[],[f6459,f3575]) ).
fof(f3575,plain,
( ! [X0] :
( ~ rpoint(X0)
| vf(vd1058,X0) = vf(X0,vd1058) )
| ~ spl51_232 ),
inference(avatar_component_clause,[],[f3574]) ).
fof(f9330,plain,
( spl51_506
| ~ spl51_230
| ~ spl51_450 ),
inference(avatar_split_clause,[],[f7529,f6458,f3566,f9327]) ).
fof(f9327,plain,
( spl51_506
<=> vd684 = vf(sK14(sK13(sK5)),sK14(sK13(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_506])]) ).
fof(f3566,plain,
( spl51_230
<=> ! [X0] :
( vd684 = vf(sK14(X0),sK14(X0))
| ~ rpoint(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_230])]) ).
fof(f7529,plain,
( vd684 = vf(sK14(sK13(sK5)),sK14(sK13(sK5)))
| ~ spl51_230
| ~ spl51_450 ),
inference(resolution,[],[f6459,f3567]) ).
fof(f3567,plain,
( ! [X0] :
( ~ rpoint(X0)
| vd684 = vf(sK14(X0),sK14(X0)) )
| ~ spl51_230 ),
inference(avatar_component_clause,[],[f3566]) ).
fof(f9227,plain,
( spl51_505
| ~ spl51_62
| ~ spl51_450 ),
inference(avatar_split_clause,[],[f7520,f6458,f1708,f9225]) ).
fof(f7520,plain,
( ! [X0] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK13(sK5)) )
| ~ spl51_62
| ~ spl51_450 ),
inference(resolution,[],[f6459,f1709]) ).
fof(f8942,plain,
( ~ spl51_7
| ~ spl51_503 ),
inference(avatar_contradiction_clause,[],[f8918]) ).
fof(f8918,plain,
( $false
| ~ spl51_7
| ~ spl51_503 ),
inference(resolution,[],[f8913,f1450]) ).
fof(f8913,plain,
( ! [X12] : ~ rpoint(X12)
| ~ spl51_503 ),
inference(avatar_component_clause,[],[f8912]) ).
fof(f8912,plain,
( spl51_503
<=> ! [X12] : ~ rpoint(X12) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_503])]) ).
fof(f8941,plain,
( ~ spl51_8
| ~ spl51_503 ),
inference(avatar_contradiction_clause,[],[f8919]) ).
fof(f8919,plain,
( $false
| ~ spl51_8
| ~ spl51_503 ),
inference(resolution,[],[f8913,f1455]) ).
fof(f8940,plain,
( ~ spl51_6
| ~ spl51_503 ),
inference(avatar_contradiction_clause,[],[f8920]) ).
fof(f8920,plain,
( $false
| ~ spl51_6
| ~ spl51_503 ),
inference(resolution,[],[f8913,f1445]) ).
fof(f8939,plain,
( ~ spl51_450
| ~ spl51_503 ),
inference(avatar_contradiction_clause,[],[f8926]) ).
fof(f8926,plain,
( $false
| ~ spl51_450
| ~ spl51_503 ),
inference(resolution,[],[f8913,f6459]) ).
fof(f8917,plain,
( spl51_503
| spl51_504 ),
inference(avatar_split_clause,[],[f1370,f8915,f8912]) ).
fof(f8915,plain,
( spl51_504
<=> ! [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,[spl51_504])]) ).
fof(f1370,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,[],[f1369]) ).
fof(f1369,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,[],[f1368]) ).
fof(f1368,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,[],[f1367]) ).
fof(f1367,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,[],[f1366]) ).
fof(f1366,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,[],[f1365]) ).
fof(f1365,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,[],[f1364]) ).
fof(f1364,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,[],[f1363]) ).
fof(f1363,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,[],[f761]) ).
fof(f761,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,[],[f402]) ).
fof(f8910,plain,
spl51_502,
inference(avatar_split_clause,[],[f1130,f8908]) ).
fof(f8908,plain,
( spl51_502
<=> ! [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,[spl51_502])]) ).
fof(f1130,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,[],[f1129]) ).
fof(f1129,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,[],[f1128]) ).
fof(f1128,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,[],[f1127]) ).
fof(f1127,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,[],[f1126]) ).
fof(f1126,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,[],[f1125]) ).
fof(f1125,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,[],[f695]) ).
fof(f695,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,[],[f498]) ).
fof(f8906,plain,
spl51_501,
inference(avatar_split_clause,[],[f1124,f8904]) ).
fof(f8904,plain,
( spl51_501
<=> ! [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,[spl51_501])]) ).
fof(f1124,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,[],[f1123]) ).
fof(f1123,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,[],[f1122]) ).
fof(f1122,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,[],[f1121]) ).
fof(f1121,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,[],[f1120]) ).
fof(f1120,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,[],[f1119]) ).
fof(f1119,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,[],[f696]) ).
fof(f696,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,[],[f498]) ).
fof(f8851,plain,
spl51_500,
inference(avatar_split_clause,[],[f1362,f8849]) ).
fof(f8849,plain,
( spl51_500
<=> ! [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,[spl51_500])]) ).
fof(f1362,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,[],[f1361]) ).
fof(f1361,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,[],[f1360]) ).
fof(f1360,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,[],[f1359]) ).
fof(f1359,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,[],[f1358]) ).
fof(f1358,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,[],[f1357]) ).
fof(f1357,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,[],[f1356]) ).
fof(f1356,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,[],[f759]) ).
fof(f759,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,[],[f400]) ).
fof(f400,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,[],[f399]) ).
fof(f399,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,[],[f206]) ).
fof(f206,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,[],[f53]) ).
fof(f53,axiom,
! [X332,X333,X334,X335,X336,X337,X338,X339] :
( ( ? [X346] :
( rline(X346)
& X332 = X346 )
& ? [X345] :
( rline(X345)
& X333 = X345 )
& ? [X344] :
( rline(X344)
& X334 = X344 )
& ? [X343] :
( rpoint(X343)
& X335 = X343 )
& ? [X342] :
( rpoint(X342)
& X336 = X342 )
& ? [X341] :
( rpoint(X341)
& X337 = X341 )
& ? [X340] :
( rpoint(X340)
& X338 = X340 )
& ron(X335,X332)
& ron(X335,X333)
& ron(X335,X334)
& ron(X336,X332)
& ron(X337,X333)
& ron(X338,X334)
& rS(X337,X338,X332)
& rS(X336,X337,X334)
& rS(X338,X339,X333)
& rS(X337,X339,X334) )
=> rS(X337,X339,X332) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(117), 0), imp(cond(axiom(117), 0)))') ).
fof(f8799,plain,
spl51_499,
inference(avatar_split_clause,[],[f1239,f8797]) ).
fof(f8797,plain,
( spl51_499
<=> ! [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,[spl51_499])]) ).
fof(f1239,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,[],[f1238]) ).
fof(f1238,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,[],[f1237]) ).
fof(f1237,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,[],[f1236]) ).
fof(f1236,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,[],[f1235]) ).
fof(f1235,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,[],[f1234]) ).
fof(f1234,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,[],[f1233]) ).
fof(f1233,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,[],[f725]) ).
fof(f725,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,[],[f376]) ).
fof(f376,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,[],[f375]) ).
fof(f375,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,[],[f194]) ).
fof(f194,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,[],[f54]) ).
fof(f54,axiom,
! [X347,X348,X349,X350,X351,X352,X353] :
( ( ? [X360] :
( rline(X360)
& X347 = X360 )
& ? [X359] :
( rline(X359)
& X348 = X359 )
& ? [X358] :
( rline(X358)
& X349 = X358 )
& ? [X357] :
( rpoint(X357)
& X350 = X357 )
& ? [X356] :
( rpoint(X356)
& X351 = X356 )
& ? [X355] :
( rpoint(X355)
& X352 = X355 )
& ? [X354] :
( rpoint(X354)
& X353 = X354 )
& ron(X350,X347)
& ron(X350,X348)
& ron(X350,X349)
& ron(X351,X347)
& ron(X352,X348)
& ron(X353,X349)
& rS(X352,X353,X347)
& ~ rS(X351,X353,X348)
& ~ ron(X353,X348)
& X350 != X351 )
=> rS(X351,X352,X349) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(115), 0), imp(cond(axiom(115), 0)))') ).
fof(f8773,plain,
spl51_498,
inference(avatar_split_clause,[],[f1140,f8771]) ).
fof(f8771,plain,
( spl51_498
<=> ! [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,[spl51_498])]) ).
fof(f1140,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,[],[f1139]) ).
fof(f1139,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,[],[f1138]) ).
fof(f1138,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,[],[f1137]) ).
fof(f1137,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,[],[f1136]) ).
fof(f1136,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,[],[f698]) ).
fof(f698,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,[],[f499]) ).
fof(f499,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,[],[f350]) ).
fof(f350,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,[],[f349]) ).
fof(f349,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,[],[f180]) ).
fof(f180,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,[],[f12]) ).
fof(f12,axiom,
! [X56,X57,X58,X59,X60,X61] :
( ( ? [X65] :
( rpoint(X65)
& X56 = X65 )
& ? [X64] :
( rpoint(X64)
& X57 = X64 )
& ? [X63] :
( rpoint(X63)
& X58 = X63 )
& ? [X62] :
( rpoint(X62)
& X59 = X62 )
& X56 != X57
& X56 != X58
& X56 != X59
& X57 != X58
& X57 != X59
& X58 != X59
& rline(X61)
& X60 = X61
& ~ ron(X59,X60) )
=> ( rR(X58,X56,X57)
<=> vplus(vg(X56,X58,X59),vg(X59,X58,X57)) = vg(X56,X59,X57) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(202), 0), imp(cond(axiom(202), 0)))') ).
fof(f8769,plain,
spl51_497,
inference(avatar_split_clause,[],[f1135,f8767]) ).
fof(f8767,plain,
( spl51_497
<=> ! [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,[spl51_497])]) ).
fof(f1135,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,[],[f1134]) ).
fof(f1134,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,[],[f1133]) ).
fof(f1133,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,[],[f1132]) ).
fof(f1132,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,[],[f1131]) ).
fof(f1131,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,[],[f699]) ).
fof(f699,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,[],[f499]) ).
fof(f8717,plain,
spl51_496,
inference(avatar_split_clause,[],[f1355,f8715]) ).
fof(f8715,plain,
( spl51_496
<=> ! [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,[spl51_496])]) ).
fof(f1355,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,[],[f1354]) ).
fof(f1354,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,[],[f1353]) ).
fof(f1353,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,[],[f1352]) ).
fof(f1352,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,[],[f1351]) ).
fof(f1351,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,[],[f758]) ).
fof(f758,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,[],[f398]) ).
fof(f398,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,[],[f397]) ).
fof(f397,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,[],[f205]) ).
fof(f205,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,[],[f49]) ).
fof(f49,axiom,
! [X292,X293,X294,X295,X296,X297,X298,X299] :
( ( ? [X303] :
( rcircle(X303)
& X292 = X303 )
& ? [X302] :
( rcircle(X302)
& X293 = X302 )
& X292 != X293
& rintersect(X292,X293)
& ? [X301] :
( rpoint(X301)
& X294 = X301 )
& ? [X300] :
( rpoint(X300)
& X295 = X300 )
& ron(X294,X292)
& ron(X294,X293)
& ron(X295,X292)
& ron(X295,X293)
& X294 != X295
& rcenter(X296,X292)
& rcenter(X297,X293)
& rline(X299)
& X298 = X299
& ron(X296,X298)
& ron(X297,X298) )
=> ~ rS(X294,X295,X298) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(125), 0), imp(cond(axiom(125), 0)))') ).
fof(f8664,plain,
spl51_495,
inference(avatar_split_clause,[],[f1302,f8662]) ).
fof(f8662,plain,
( spl51_495
<=> ! [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,[spl51_495])]) ).
fof(f1302,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,[],[f1301]) ).
fof(f1301,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,[],[f1300]) ).
fof(f1300,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,[],[f1299]) ).
fof(f1299,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,[],[f1298]) ).
fof(f1298,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,[],[f1297]) ).
fof(f1297,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,[],[f1296]) ).
fof(f1296,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,[],[f740]) ).
fof(f740,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,[],[f388]) ).
fof(f388,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,[],[f387]) ).
fof(f387,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,[],[f200]) ).
fof(f200,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,[],[f55]) ).
fof(f55,axiom,
! [X361,X362,X363,X364,X365,X366,X367] :
( ( ? [X374] :
( rline(X374)
& X361 = X374 )
& ? [X373] :
( rline(X373)
& X362 = X373 )
& ? [X372] :
( rline(X372)
& X363 = X372 )
& ? [X371] :
( rpoint(X371)
& X364 = X371 )
& ? [X370] :
( rpoint(X370)
& X365 = X370 )
& ? [X369] :
( rpoint(X369)
& X366 = X369 )
& ? [X368] :
( rpoint(X368)
& X367 = X368 )
& ron(X364,X361)
& ron(X364,X362)
& ron(X364,X363)
& ron(X365,X361)
& ron(X366,X363)
& ron(X367,X363)
& rS(X366,X367,X361)
& rS(X365,X366,X363) )
=> ~ rS(X365,X367,X362) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(113), 0), imp(cond(axiom(113), 0)))') ).
fof(f8618,plain,
spl51_494,
inference(avatar_split_clause,[],[f1066,f8616]) ).
fof(f8616,plain,
( spl51_494
<=> ! [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,[spl51_494])]) ).
fof(f1066,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,[],[f1065]) ).
fof(f1065,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,[],[f1064]) ).
fof(f1064,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,[],[f1063]) ).
fof(f1063,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,[],[f1062]) ).
fof(f1062,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,[],[f682]) ).
fof(f682,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,[],[f332]) ).
fof(f332,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,[],[f331]) ).
fof(f331,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,[],[f171]) ).
fof(f171,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,[],[f56]) ).
fof(f56,axiom,
! [X375,X376,X377,X378,X379] :
( ( ? [X384] :
( rpoint(X384)
& X375 = X384 )
& ? [X383] :
( rpoint(X383)
& X376 = X383 )
& ? [X382] :
( rpoint(X382)
& X377 = X382 )
& X375 != X376
& X375 != X377
& X376 != X377
& ? [X381] :
( rline(X381)
& X378 = X381 )
& ? [X380] :
( rline(X380)
& X379 = X380 )
& X378 != X379
& ron(X375,X379)
& ron(X377,X379)
& ~ rS(X375,X377,X378)
& ron(X376,X379)
& ron(X376,X378) )
=> rR(X376,X375,X377) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(111), 0), imp(cond(axiom(111), 0)))') ).
fof(f8572,plain,
spl51_493,
inference(avatar_split_clause,[],[f1029,f8570]) ).
fof(f8570,plain,
( spl51_493
<=> ! [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,[spl51_493])]) ).
fof(f1029,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,[],[f1028]) ).
fof(f1028,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,[],[f1027]) ).
fof(f1027,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,[],[f1026]) ).
fof(f1026,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,[],[f673]) ).
fof(f673,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,[],[f322]) ).
fof(f322,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,[],[f321]) ).
fof(f321,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,[],[f166]) ).
fof(f166,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,[],[f66]) ).
fof(f66,axiom,
! [X449,X450,X451,X452,X453] :
( ( ? [X456] :
( rpoint(X456)
& X449 = X456 )
& ? [X455] :
( rpoint(X455)
& X450 = X455 )
& ? [X454] :
( rpoint(X454)
& X451 = X454 )
& X449 != X450
& X449 != X451
& X450 != X451
& rline(X453)
& ron(X449,X452)
& ron(X450,X452)
& ron(X451,X452)
& X452 = X453 )
=> ( rR(X451,X449,X450)
| rR(X449,X450,X451)
| rR(X450,X449,X451) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(91), 0), imp(cond(axiom(91), 0)))') ).
fof(f8559,plain,
spl51_492,
inference(avatar_split_clause,[],[f1244,f8557]) ).
fof(f8557,plain,
( spl51_492
<=> ! [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,[spl51_492])]) ).
fof(f1244,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,[],[f1243]) ).
fof(f1243,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,[],[f1242]) ).
fof(f1242,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,[],[f1241]) ).
fof(f1241,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,[],[f1240]) ).
fof(f1240,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,[],[f726]) ).
fof(f726,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,[],[f378]) ).
fof(f378,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,[],[f377]) ).
fof(f377,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,[],[f195]) ).
fof(f195,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,[],[f52]) ).
fof(f52,axiom,
! [X322,X323,X324,X325,X326,X327,X328] :
( ( ? [X331] :
( rpoint(X331)
& X322 = X331 )
& ? [X330] :
( rpoint(X330)
& X323 = X330 )
& ? [X329] :
( rpoint(X329)
& X324 = X329 )
& rline(X326)
& X325 = X326
& rcircle(X328)
& X327 = X328
& ron(X322,X325)
& ron(X323,X325)
& ron(X324,X325)
& rinside(X322,X327)
& ron(X323,X327)
& ron(X324,X327)
& X323 != X324 )
=> rR(X322,X323,X324) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(119), 0), imp(cond(axiom(119), 0)))') ).
fof(f8555,plain,
spl51_491,
inference(avatar_split_clause,[],[f1213,f8553]) ).
fof(f8553,plain,
( spl51_491
<=> ! [X10,X7,X9,X8,X1] :
( rR(sK42(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,[spl51_491])]) ).
fof(f1213,plain,
! [X10,X1,X8,X9,X7] :
( rR(sK42(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,[],[f1212]) ).
fof(f1212,plain,
! [X10,X1,X8,X9,X7,X5] :
( rR(sK42(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,[],[f1211]) ).
fof(f1211,plain,
! [X10,X1,X8,X9,X7,X4,X5] :
( rR(sK42(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,[],[f1210]) ).
fof(f1210,plain,
! [X3,X10,X1,X8,X9,X7,X4,X5] :
( rR(sK42(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,[],[f1209]) ).
fof(f1209,plain,
! [X2,X3,X10,X1,X8,X9,X7,X4,X5] :
( rR(sK42(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,[],[f721]) ).
fof(f721,plain,
! [X2,X3,X10,X0,X1,X8,X9,X7,X4,X5] :
( rR(sK42(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,[],[f511]) ).
fof(f511,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( rpoint(sK42(X2,X3,X4,X5))
& rR(sK42(X2,X3,X4,X5),X2,X3)
& sK42(X2,X3,X4,X5) != X4
& sK42(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,[sK42])],[f509,f510]) ).
fof(f510,plain,
! [X2,X3,X4,X5] :
( ? [X6] :
( rpoint(X6)
& rR(X6,X2,X3)
& X4 != X6
& X5 != X6 )
=> ( rpoint(sK42(X2,X3,X4,X5))
& rR(sK42(X2,X3,X4,X5),X2,X3)
& sK42(X2,X3,X4,X5) != X4
& sK42(X2,X3,X4,X5) != X5 ) ),
introduced(choice_axiom,[]) ).
fof(f509,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,[],[f370]) ).
fof(f370,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,[],[f369]) ).
fof(f369,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,[],[f191]) ).
fof(f191,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,[],[f96]) ).
fof(f96,axiom,
! [X641,X642,X643,X644,X645,X646] :
( ( rline(X642)
& X641 = X642
& ? [X650] :
( rpoint(X650)
& X643 = X650 )
& ? [X649] :
( rpoint(X649)
& X644 = X649 )
& ? [X648] :
( rpoint(X648)
& X645 = X648 )
& ? [X647] :
( rpoint(X647)
& X646 = X647 )
& ron(X643,X641)
& ron(X644,X641)
& ron(X645,X641)
& rR(X645,X643,X644)
& rR(X646,X643,X644) )
=> ? [X651] :
( rpoint(X651)
& rR(X651,X643,X644)
& X645 != X651
& X646 != X651 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(27), 0), imp(cond(axiom(27), 0)))') ).
fof(f8550,plain,
spl51_490,
inference(avatar_split_clause,[],[f1223,f8548]) ).
fof(f8548,plain,
( spl51_490
<=> ! [X10,X7,X9,X8,X1] :
( sK42(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,[spl51_490])]) ).
fof(f1223,plain,
! [X10,X1,X8,X9,X7] :
( sK42(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,[],[f1222]) ).
fof(f1222,plain,
! [X10,X1,X8,X9,X7,X5] :
( sK42(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,[],[f1221]) ).
fof(f1221,plain,
! [X10,X1,X8,X9,X7,X4,X5] :
( sK42(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,[],[f1220]) ).
fof(f1220,plain,
! [X3,X10,X1,X8,X9,X7,X4,X5] :
( sK42(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,[],[f1219]) ).
fof(f1219,plain,
! [X2,X3,X10,X1,X8,X9,X7,X4,X5] :
( sK42(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,[],[f719]) ).
fof(f719,plain,
! [X2,X3,X10,X0,X1,X8,X9,X7,X4,X5] :
( sK42(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,[],[f511]) ).
fof(f8546,plain,
spl51_489,
inference(avatar_split_clause,[],[f1218,f8544]) ).
fof(f8544,plain,
( spl51_489
<=> ! [X10,X7,X9,X8,X1] :
( sK42(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,[spl51_489])]) ).
fof(f1218,plain,
! [X10,X1,X8,X9,X7] :
( sK42(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,[],[f1217]) ).
fof(f1217,plain,
! [X10,X1,X8,X9,X7,X5] :
( sK42(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,[],[f1216]) ).
fof(f1216,plain,
! [X10,X1,X8,X9,X7,X4,X5] :
( sK42(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,[],[f1215]) ).
fof(f1215,plain,
! [X3,X10,X1,X8,X9,X7,X4,X5] :
( sK42(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,[],[f1214]) ).
fof(f1214,plain,
! [X2,X3,X10,X1,X8,X9,X7,X4,X5] :
( sK42(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,[],[f720]) ).
fof(f720,plain,
! [X2,X3,X10,X0,X1,X8,X9,X7,X4,X5] :
( sK42(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,[],[f511]) ).
fof(f8496,plain,
spl51_488,
inference(avatar_split_clause,[],[f1350,f8494]) ).
fof(f8494,plain,
( spl51_488
<=> ! [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,[spl51_488])]) ).
fof(f1350,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,[],[f1349]) ).
fof(f1349,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,[],[f1348]) ).
fof(f1348,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,[],[f1347]) ).
fof(f1347,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,[],[f794]) ).
fof(f794,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,[],[f755,f539]) ).
fof(f539,plain,
v0 = vd684,
inference(cnf_transformation,[],[f42]) ).
fof(f42,axiom,
v0 = vd684,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(axiom(137), 2)') ).
fof(f755,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,[],[f527]) ).
fof(f527,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,[],[f526]) ).
fof(f526,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,[],[f396]) ).
fof(f396,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,[],[f395]) ).
fof(f395,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,[],[f204]) ).
fof(f204,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,[],[f19]) ).
fof(f19,axiom,
! [X133,X134,X135,X136,X137,X138,X139,X140] :
( ( rpoint(X134)
& X133 = X134
& rpoint(X136)
& X135 = X136
& rpoint(X138)
& X137 = X138
& rline(X140)
& X139 = X140
& X133 != X135
& X133 != X137
& ron(X133,X139)
& ron(X135,X139) )
=> ( ( ron(X137,X139)
& ~ rR(X133,X135,X137) )
<=> v0 = vangle(X135,X133,X137) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(188), 0), imp(cond(axiom(188), 0)))') ).
fof(f8492,plain,
spl51_487,
inference(avatar_split_clause,[],[f1208,f8490]) ).
fof(f8490,plain,
( spl51_487
<=> ! [X10,X7,X9,X8,X1] :
( rpoint(sK42(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,[spl51_487])]) ).
fof(f1208,plain,
! [X10,X1,X8,X9,X7] :
( rpoint(sK42(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,[],[f1207]) ).
fof(f1207,plain,
! [X10,X1,X8,X9,X7,X5] :
( rpoint(sK42(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,[],[f1206]) ).
fof(f1206,plain,
! [X10,X1,X8,X9,X7,X4,X5] :
( rpoint(sK42(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,[],[f1205]) ).
fof(f1205,plain,
! [X3,X10,X1,X8,X9,X7,X4,X5] :
( rpoint(sK42(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,[],[f1204]) ).
fof(f1204,plain,
! [X2,X3,X10,X1,X8,X9,X7,X4,X5] :
( rpoint(sK42(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,[],[f722]) ).
fof(f722,plain,
! [X2,X3,X10,X0,X1,X8,X9,X7,X4,X5] :
( rpoint(sK42(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,[],[f511]) ).
fof(f8476,plain,
( spl51_486
| ~ spl51_224
| ~ spl51_450 ),
inference(avatar_split_clause,[],[f7528,f6458,f3474,f8473]) ).
fof(f8473,plain,
( spl51_486
<=> vd684 = vg(sK13(sK5),sK13(sK5),vd14) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_486])]) ).
fof(f3474,plain,
( spl51_224
<=> ! [X0] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,vd14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_224])]) ).
fof(f7528,plain,
( vd684 = vg(sK13(sK5),sK13(sK5),vd14)
| ~ spl51_224
| ~ spl51_450 ),
inference(resolution,[],[f6459,f3475]) ).
fof(f3475,plain,
( ! [X0] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,vd14) )
| ~ spl51_224 ),
inference(avatar_component_clause,[],[f3474]) ).
fof(f8471,plain,
spl51_485,
inference(avatar_split_clause,[],[f1268,f8469]) ).
fof(f8469,plain,
( spl51_485
<=> ! [X5,X3,X4,X9,X6,X8] :
( rS(sK44(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,[spl51_485])]) ).
fof(f1268,plain,
! [X3,X8,X6,X9,X4,X5] :
( rS(sK44(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,[],[f1267]) ).
fof(f1267,plain,
! [X2,X3,X8,X6,X9,X4,X5] :
( rS(sK44(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,[],[f1266]) ).
fof(f1266,plain,
! [X2,X3,X1,X8,X6,X9,X4,X5] :
( rS(sK44(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,[],[f731]) ).
fof(f731,plain,
! [X2,X3,X0,X1,X8,X6,X9,X4,X5] :
( rS(sK44(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,[],[f517]) ).
fof(f517,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( rpoint(sK44(X0,X1,X2,X6))
& ron(sK44(X0,X1,X2,X6),X0)
& ron(sK44(X0,X1,X2,X6),X1)
& rS(sK44(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,[sK44])],[f515,f516]) ).
fof(f516,plain,
! [X0,X1,X2,X6] :
( ? [X7] :
( rpoint(X7)
& ron(X7,X0)
& ron(X7,X1)
& rS(X7,X6,X2) )
=> ( rpoint(sK44(X0,X1,X2,X6))
& ron(sK44(X0,X1,X2,X6),X0)
& ron(sK44(X0,X1,X2,X6),X1)
& rS(sK44(X0,X1,X2,X6),X6,X2) ) ),
introduced(choice_axiom,[]) ).
fof(f515,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,[],[f382]) ).
fof(f382,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,[],[f381]) ).
fof(f381,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,[],[f197]) ).
fof(f197,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,[],[f77]) ).
fof(f77,axiom,
! [X523,X524,X525,X526,X527,X528,X529] :
( ( ? [X531] :
( rcircle(X531)
& X523 = X531 )
& ? [X530] :
( rcircle(X530)
& X524 = X530 )
& rline(X526)
& X525 = X526
& rintersect(X523,X524)
& rcenter(X527,X523)
& rcenter(X528,X524)
& ron(X527,X525)
& ron(X528,X525)
& ~ ron(X529,X525) )
=> ? [X532] :
( rpoint(X532)
& ron(X532,X523)
& ron(X532,X524)
& rS(X532,X529,X525) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(69), 0), imp(cond(axiom(69), 0)))') ).
fof(f8467,plain,
spl51_484,
inference(avatar_split_clause,[],[f1256,f8465]) ).
fof(f8465,plain,
( spl51_484
<=> ! [X5,X3,X4,X9,X6,X8] :
( ~ rS(sK43(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,[spl51_484])]) ).
fof(f1256,plain,
! [X3,X8,X6,X9,X4,X5] :
( ~ rS(sK43(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,[],[f1255]) ).
fof(f1255,plain,
! [X2,X3,X8,X6,X9,X4,X5] :
( ~ rS(sK43(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,[],[f1254]) ).
fof(f1254,plain,
! [X2,X3,X1,X8,X6,X9,X4,X5] :
( ~ rS(sK43(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,[],[f727]) ).
fof(f727,plain,
! [X2,X3,X0,X1,X8,X6,X9,X4,X5] :
( ~ rS(sK43(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,[],[f514]) ).
fof(f514,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( rpoint(sK43(X0,X1,X2,X6))
& ron(sK43(X0,X1,X2,X6),X0)
& ron(sK43(X0,X1,X2,X6),X1)
& ~ rS(sK43(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,[sK43])],[f512,f513]) ).
fof(f513,plain,
! [X0,X1,X2,X6] :
( ? [X7] :
( rpoint(X7)
& ron(X7,X0)
& ron(X7,X1)
& ~ rS(X7,X6,X2) )
=> ( rpoint(sK43(X0,X1,X2,X6))
& ron(sK43(X0,X1,X2,X6),X0)
& ron(sK43(X0,X1,X2,X6),X1)
& ~ rS(sK43(X0,X1,X2,X6),X6,X2) ) ),
introduced(choice_axiom,[]) ).
fof(f512,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,[],[f380]) ).
fof(f380,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,[],[f379]) ).
fof(f379,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,[],[f196]) ).
fof(f196,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,[],[f76]) ).
fof(f76,axiom,
! [X513,X514,X515,X516,X517,X518,X519] :
( ( ? [X521] :
( rcircle(X521)
& X513 = X521 )
& ? [X520] :
( rcircle(X520)
& X514 = X520 )
& rline(X516)
& X515 = X516
& rintersect(X513,X514)
& rcenter(X517,X513)
& rcenter(X518,X514)
& ron(X517,X515)
& ron(X518,X515)
& ~ ron(X519,X515) )
=> ? [X522] :
( rpoint(X522)
& ron(X522,X513)
& ron(X522,X514)
& ~ rS(X522,X519,X515) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(71), 0), imp(cond(axiom(71), 0)))') ).
fof(f8463,plain,
spl51_483,
inference(avatar_split_clause,[],[f1150,f8461]) ).
fof(f8461,plain,
( spl51_483
<=> ! [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,[spl51_483])]) ).
fof(f1150,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,[],[f1149]) ).
fof(f1149,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,[],[f1148]) ).
fof(f1148,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,[],[f1147]) ).
fof(f1147,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,[],[f1146]) ).
fof(f1146,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,[],[f700]) ).
fof(f700,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,[],[f500]) ).
fof(f500,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,[],[f352]) ).
fof(f352,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,[],[f351]) ).
fof(f351,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,[],[f181]) ).
fof(f181,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,[],[f17]) ).
fof(f17,axiom,
! [X111,X112,X113,X114,X115,X116] :
( ( ? [X120] :
( rpoint(X120)
& X111 = X120 )
& ? [X119] :
( rpoint(X119)
& X112 = X119 )
& ? [X118] :
( rpoint(X118)
& X113 = X118 )
& ? [X117] :
( rpoint(X117)
& X114 = X117 )
& rline(X116)
& X115 = X116
& rR(X113,X111,X112)
& ~ ron(X114,X115) )
=> ( vangle(X111,X113,X114) = vangle(X114,X113,X112)
<=> vperp = vangle(X111,X113,X114) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(192), 0), imp(cond(axiom(192), 0)))') ).
fof(f8403,plain,
spl51_482,
inference(avatar_split_clause,[],[f1338,f8401]) ).
fof(f8401,plain,
( spl51_482
<=> ! [X3,X7,X5,X1] :
( rR(sK47(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,[spl51_482])]) ).
fof(f1338,plain,
! [X3,X1,X7,X5] :
( rR(sK47(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,[],[f1337]) ).
fof(f1337,plain,
! [X3,X1,X6,X7,X5] :
( rR(sK47(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,[],[f1336]) ).
fof(f1336,plain,
! [X3,X1,X6,X7,X4,X5] :
( rR(sK47(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,[],[f1335]) ).
fof(f1335,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( rR(sK47(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,[],[f751]) ).
fof(f751,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( rR(sK47(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,[],[f525]) ).
fof(f525,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( rpoint(sK47(X0,X2,X4,X6))
& ron(sK47(X0,X2,X4,X6),X2)
& ron(sK47(X0,X2,X4,X6),X0)
& rR(sK47(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,[sK47])],[f394,f524]) ).
fof(f524,plain,
! [X0,X2,X4,X6] :
( ? [X8] :
( rpoint(X8)
& ron(X8,X2)
& ron(X8,X0)
& rR(X8,X4,X6) )
=> ( rpoint(sK47(X0,X2,X4,X6))
& ron(sK47(X0,X2,X4,X6),X2)
& ron(sK47(X0,X2,X4,X6),X0)
& rR(sK47(X0,X2,X4,X6),X4,X6) ) ),
introduced(choice_axiom,[]) ).
fof(f394,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,[],[f393]) ).
fof(f393,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,[],[f203]) ).
fof(f203,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,[],[f81]) ).
fof(f81,axiom,
! [X553,X554,X555,X556,X557,X558,X559,X560] :
( ( rcircle(X554)
& X553 = X554
& rline(X556)
& X555 = X556
& rpoint(X558)
& X557 = X558
& rinside(X557,X553)
& ron(X557,X555)
& rpoint(X560)
& X559 = X560
& ~ rinside(X559,X553)
& ~ ron(X559,X553)
& ron(X559,X555) )
=> ? [X561] :
( rpoint(X561)
& ron(X561,X555)
& ron(X561,X553)
& rR(X561,X557,X559) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(61), 0), imp(cond(axiom(61), 0)))') ).
fof(f8399,plain,
spl51_481,
inference(avatar_split_clause,[],[f1265,f8397]) ).
fof(f8397,plain,
( spl51_481
<=> ! [X5,X3,X4,X9,X6,X8] :
( ron(sK44(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,[spl51_481])]) ).
fof(f1265,plain,
! [X3,X8,X6,X9,X4,X5] :
( ron(sK44(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,[],[f1264]) ).
fof(f1264,plain,
! [X2,X3,X8,X6,X9,X4,X5] :
( ron(sK44(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,[],[f1263]) ).
fof(f1263,plain,
! [X2,X3,X1,X8,X6,X9,X4,X5] :
( ron(sK44(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,[],[f732]) ).
fof(f732,plain,
! [X2,X3,X0,X1,X8,X6,X9,X4,X5] :
( ron(sK44(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,[],[f517]) ).
fof(f8395,plain,
( spl51_480
| ~ spl51_223
| ~ spl51_450 ),
inference(avatar_split_clause,[],[f7527,f6458,f3470,f8392]) ).
fof(f8392,plain,
( spl51_480
<=> vd684 = vg(sK13(sK5),sK13(sK5),vd1056) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_480])]) ).
fof(f3470,plain,
( spl51_223
<=> ! [X0] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,vd1056) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_223])]) ).
fof(f7527,plain,
( vd684 = vg(sK13(sK5),sK13(sK5),vd1056)
| ~ spl51_223
| ~ spl51_450 ),
inference(resolution,[],[f6459,f3471]) ).
fof(f3471,plain,
( ! [X0] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,vd1056) )
| ~ spl51_223 ),
inference(avatar_component_clause,[],[f3470]) ).
fof(f8390,plain,
spl51_479,
inference(avatar_split_clause,[],[f1262,f8388]) ).
fof(f8388,plain,
( spl51_479
<=> ! [X5,X3,X4,X9,X6,X8] :
( ron(sK44(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,[spl51_479])]) ).
fof(f1262,plain,
! [X3,X8,X6,X9,X4,X5] :
( ron(sK44(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,[],[f1261]) ).
fof(f1261,plain,
! [X2,X3,X8,X6,X9,X4,X5] :
( ron(sK44(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,[],[f1260]) ).
fof(f1260,plain,
! [X2,X3,X1,X8,X6,X9,X4,X5] :
( ron(sK44(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,[],[f733]) ).
fof(f733,plain,
! [X2,X3,X0,X1,X8,X6,X9,X4,X5] :
( ron(sK44(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,[],[f517]) ).
fof(f8386,plain,
spl51_478,
inference(avatar_split_clause,[],[f1253,f8384]) ).
fof(f8384,plain,
( spl51_478
<=> ! [X5,X3,X4,X9,X6,X8] :
( ron(sK43(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,[spl51_478])]) ).
fof(f1253,plain,
! [X3,X8,X6,X9,X4,X5] :
( ron(sK43(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,[],[f1252]) ).
fof(f1252,plain,
! [X2,X3,X8,X6,X9,X4,X5] :
( ron(sK43(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,[],[f1251]) ).
fof(f1251,plain,
! [X2,X3,X1,X8,X6,X9,X4,X5] :
( ron(sK43(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,[],[f728]) ).
fof(f728,plain,
! [X2,X3,X0,X1,X8,X6,X9,X4,X5] :
( ron(sK43(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,[],[f514]) ).
fof(f8382,plain,
spl51_477,
inference(avatar_split_clause,[],[f1250,f8380]) ).
fof(f8380,plain,
( spl51_477
<=> ! [X5,X3,X4,X9,X6,X8] :
( ron(sK43(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,[spl51_477])]) ).
fof(f1250,plain,
! [X3,X8,X6,X9,X4,X5] :
( ron(sK43(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,[],[f1249]) ).
fof(f1249,plain,
! [X2,X3,X8,X6,X9,X4,X5] :
( ron(sK43(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,[],[f1248]) ).
fof(f1248,plain,
! [X2,X3,X1,X8,X6,X9,X4,X5] :
( ron(sK43(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,[],[f729]) ).
fof(f729,plain,
! [X2,X3,X0,X1,X8,X6,X9,X4,X5] :
( ron(sK43(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,[],[f514]) ).
fof(f8289,plain,
spl51_476,
inference(avatar_split_clause,[],[f1346,f8287]) ).
fof(f8287,plain,
( spl51_476
<=> ! [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,[spl51_476])]) ).
fof(f1346,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,[],[f1345]) ).
fof(f1345,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,[],[f1344]) ).
fof(f1344,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,[],[f1343]) ).
fof(f1343,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,[],[f793]) ).
fof(f793,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,[],[f756,f539]) ).
fof(f756,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,[],[f527]) ).
fof(f8285,plain,
spl51_475,
inference(avatar_split_clause,[],[f1334,f8283]) ).
fof(f8283,plain,
( spl51_475
<=> ! [X3,X7,X5,X1] :
( ron(sK47(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,[spl51_475])]) ).
fof(f1334,plain,
! [X3,X1,X7,X5] :
( ron(sK47(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,[],[f1333]) ).
fof(f1333,plain,
! [X3,X1,X6,X7,X5] :
( ron(sK47(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,[],[f1332]) ).
fof(f1332,plain,
! [X3,X1,X6,X7,X4,X5] :
( ron(sK47(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,[],[f1331]) ).
fof(f1331,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( ron(sK47(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,[],[f752]) ).
fof(f752,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ron(sK47(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,[],[f525]) ).
fof(f8281,plain,
( spl51_474
| ~ spl51_222
| ~ spl51_450 ),
inference(avatar_split_clause,[],[f7526,f6458,f3466,f8278]) ).
fof(f8278,plain,
( spl51_474
<=> vd684 = vg(sK13(sK5),sK13(sK5),vd1058) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_474])]) ).
fof(f3466,plain,
( spl51_222
<=> ! [X0] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,vd1058) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_222])]) ).
fof(f7526,plain,
( vd684 = vg(sK13(sK5),sK13(sK5),vd1058)
| ~ spl51_222
| ~ spl51_450 ),
inference(resolution,[],[f6459,f3467]) ).
fof(f3467,plain,
( ! [X0] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,vd1058) )
| ~ spl51_222 ),
inference(avatar_component_clause,[],[f3466]) ).
fof(f8276,plain,
spl51_473,
inference(avatar_split_clause,[],[f1330,f8274]) ).
fof(f8274,plain,
( spl51_473
<=> ! [X3,X7,X5,X1] :
( ron(sK47(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,[spl51_473])]) ).
fof(f1330,plain,
! [X3,X1,X7,X5] :
( ron(sK47(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,[],[f1329]) ).
fof(f1329,plain,
! [X3,X1,X6,X7,X5] :
( ron(sK47(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,[],[f1328]) ).
fof(f1328,plain,
! [X3,X1,X6,X7,X4,X5] :
( ron(sK47(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,[],[f1327]) ).
fof(f1327,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( ron(sK47(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,[],[f753]) ).
fof(f753,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ron(sK47(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,[],[f525]) ).
fof(f8272,plain,
spl51_472,
inference(avatar_split_clause,[],[f1259,f8270]) ).
fof(f8270,plain,
( spl51_472
<=> ! [X5,X3,X4,X9,X6,X8] :
( rpoint(sK44(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,[spl51_472])]) ).
fof(f1259,plain,
! [X3,X8,X6,X9,X4,X5] :
( rpoint(sK44(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,[],[f1258]) ).
fof(f1258,plain,
! [X2,X3,X8,X6,X9,X4,X5] :
( rpoint(sK44(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,[],[f1257]) ).
fof(f1257,plain,
! [X2,X3,X1,X8,X6,X9,X4,X5] :
( rpoint(sK44(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,[],[f734]) ).
fof(f734,plain,
! [X2,X3,X0,X1,X8,X6,X9,X4,X5] :
( rpoint(sK44(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,[],[f517]) ).
fof(f8268,plain,
spl51_471,
inference(avatar_split_clause,[],[f1247,f8266]) ).
fof(f8266,plain,
( spl51_471
<=> ! [X5,X3,X4,X9,X6,X8] :
( rpoint(sK43(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,[spl51_471])]) ).
fof(f1247,plain,
! [X3,X8,X6,X9,X4,X5] :
( rpoint(sK43(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,[],[f1246]) ).
fof(f1246,plain,
! [X2,X3,X8,X6,X9,X4,X5] :
( rpoint(sK43(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,[],[f1245]) ).
fof(f1245,plain,
! [X2,X3,X1,X8,X6,X9,X4,X5] :
( rpoint(sK43(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,[],[f730]) ).
fof(f730,plain,
! [X2,X3,X0,X1,X8,X6,X9,X4,X5] :
( rpoint(sK43(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,[],[f514]) ).
fof(f8162,plain,
spl51_470,
inference(avatar_split_clause,[],[f1416,f8160]) ).
fof(f8160,plain,
( spl51_470
<=> ! [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,[spl51_470])]) ).
fof(f1416,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,[],[f1145]) ).
fof(f1145,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,[],[f1144]) ).
fof(f1144,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,[],[f1143]) ).
fof(f1143,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,[],[f1142]) ).
fof(f1142,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,[],[f1141]) ).
fof(f1141,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,[],[f701]) ).
fof(f701,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,[],[f500]) ).
fof(f8158,plain,
spl51_469,
inference(avatar_split_clause,[],[f1342,f8156]) ).
fof(f8156,plain,
( spl51_469
<=> ! [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,[spl51_469])]) ).
fof(f1342,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,[],[f1341]) ).
fof(f1341,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,[],[f1340]) ).
fof(f1340,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,[],[f1339]) ).
fof(f1339,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,[],[f792]) ).
fof(f792,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,[],[f757,f539]) ).
fof(f757,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,[],[f527]) ).
fof(f8154,plain,
spl51_468,
inference(avatar_split_clause,[],[f1326,f8152]) ).
fof(f8152,plain,
( spl51_468
<=> ! [X3,X7,X5,X1] :
( rpoint(sK47(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,[spl51_468])]) ).
fof(f1326,plain,
! [X3,X1,X7,X5] :
( rpoint(sK47(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,[],[f1325]) ).
fof(f1325,plain,
! [X3,X1,X6,X7,X5] :
( rpoint(sK47(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,[],[f1324]) ).
fof(f1324,plain,
! [X3,X1,X6,X7,X4,X5] :
( rpoint(sK47(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,[],[f1323]) ).
fof(f1323,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( rpoint(sK47(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,[],[f754]) ).
fof(f754,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( rpoint(sK47(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,[],[f525]) ).
fof(f8149,plain,
spl51_467,
inference(avatar_split_clause,[],[f1074,f8147]) ).
fof(f8147,plain,
( spl51_467
<=> ! [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,[spl51_467])]) ).
fof(f1074,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,[],[f1073]) ).
fof(f1073,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,[],[f1072]) ).
fof(f1072,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,[],[f1071]) ).
fof(f1071,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,[],[f684]) ).
fof(f684,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,[],[f336]) ).
fof(f336,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,[],[f335]) ).
fof(f335,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,[],[f173]) ).
fof(f173,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,[],[f60]) ).
fof(f60,axiom,
! [X409,X410,X411,X412,X413] :
( ( ? [X416] :
( rpoint(X416)
& X409 = X416 )
& ? [X415] :
( rpoint(X415)
& X410 = X415 )
& ? [X414] :
( rpoint(X414)
& X411 = X414 )
& rline(X413)
& X412 = X413
& ~ ron(X409,X412)
& ~ ron(X410,X412)
& ~ ron(X411,X412)
& ~ rS(X409,X410,X412) )
=> ( rS(X410,X411,X412)
| rS(X409,X411,X412) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(103), 0), imp(cond(axiom(103), 0)))') ).
fof(f8107,plain,
spl51_466,
inference(avatar_split_clause,[],[f1318,f8105]) ).
fof(f8105,plain,
( spl51_466
<=> ! [X3,X7,X5,X1] :
( rR(X5,sK45(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,[spl51_466])]) ).
fof(f1318,plain,
! [X3,X1,X7,X5] :
( rR(X5,sK45(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,[],[f1317]) ).
fof(f1317,plain,
! [X3,X1,X6,X7,X5] :
( rR(X5,sK45(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,[],[f1316]) ).
fof(f1316,plain,
! [X3,X1,X6,X7,X4,X5] :
( rR(X4,sK45(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,[],[f1315]) ).
fof(f1315,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( rR(X4,sK45(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,[],[f741]) ).
fof(f741,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( rR(X4,sK45(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,[],[f519]) ).
fof(f519,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( rpoint(sK45(X0,X2,X4,X6))
& ron(sK45(X0,X2,X4,X6),X0)
& ron(sK45(X0,X2,X4,X6),X2)
& rR(X4,sK45(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,[sK45])],[f390,f518]) ).
fof(f518,plain,
! [X0,X2,X4,X6] :
( ? [X8] :
( rpoint(X8)
& ron(X8,X0)
& ron(X8,X2)
& rR(X4,X8,X6) )
=> ( rpoint(sK45(X0,X2,X4,X6))
& ron(sK45(X0,X2,X4,X6),X0)
& ron(sK45(X0,X2,X4,X6),X2)
& rR(X4,sK45(X0,X2,X4,X6),X6) ) ),
introduced(choice_axiom,[]) ).
fof(f390,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,[],[f389]) ).
fof(f389,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,[],[f201]) ).
fof(f201,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,[],[f80]) ).
fof(f80,axiom,
! [X544,X545,X546,X547,X548,X549,X550,X551] :
( ( rcircle(X545)
& X544 = X545
& rline(X547)
& X546 = X547
& rpoint(X549)
& X548 = X549
& rinside(X548,X544)
& ron(X548,X546)
& rpoint(X551)
& X550 = X551
& ron(X550,X546)
& X548 != X550 )
=> ? [X552] :
( rpoint(X552)
& ron(X552,X544)
& ron(X552,X546)
& rR(X548,X552,X550) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(63), 0), imp(cond(axiom(63), 0)))') ).
fof(f8022,plain,
spl51_465,
inference(avatar_split_clause,[],[f1314,f8020]) ).
fof(f8020,plain,
( spl51_465
<=> ! [X3,X7,X5,X1] :
( ron(sK45(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,[spl51_465])]) ).
fof(f1314,plain,
! [X3,X1,X7,X5] :
( ron(sK45(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,[],[f1313]) ).
fof(f1313,plain,
! [X3,X1,X6,X7,X5] :
( ron(sK45(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,[],[f1312]) ).
fof(f1312,plain,
! [X3,X1,X6,X7,X4,X5] :
( ron(sK45(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,[],[f1311]) ).
fof(f1311,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( ron(sK45(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,[],[f742]) ).
fof(f742,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ron(sK45(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,[],[f519]) ).
fof(f8018,plain,
spl51_464,
inference(avatar_split_clause,[],[f1310,f8016]) ).
fof(f8016,plain,
( spl51_464
<=> ! [X3,X7,X5,X1] :
( ron(sK45(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,[spl51_464])]) ).
fof(f1310,plain,
! [X3,X1,X7,X5] :
( ron(sK45(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,[],[f1309]) ).
fof(f1309,plain,
! [X3,X1,X6,X7,X5] :
( ron(sK45(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,[],[f1308]) ).
fof(f1308,plain,
! [X3,X1,X6,X7,X4,X5] :
( ron(sK45(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,[],[f1307]) ).
fof(f1307,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( ron(sK45(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,[],[f743]) ).
fof(f743,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ron(sK45(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,[],[f519]) ).
fof(f7900,plain,
( spl51_463
| ~ spl51_6
| ~ spl51_444 ),
inference(avatar_split_clause,[],[f6347,f6342,f1443,f7897]) ).
fof(f7897,plain,
( spl51_463
<=> vd684 = vg(vd14,vd14,sK32(sK5,vd1056)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_463])]) ).
fof(f6347,plain,
( vd684 = vg(vd14,vd14,sK32(sK5,vd1056))
| ~ spl51_6
| ~ spl51_444 ),
inference(resolution,[],[f6343,f1445]) ).
fof(f7859,plain,
spl51_462,
inference(avatar_split_clause,[],[f1306,f7857]) ).
fof(f7857,plain,
( spl51_462
<=> ! [X3,X7,X5,X1] :
( rpoint(sK45(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,[spl51_462])]) ).
fof(f1306,plain,
! [X3,X1,X7,X5] :
( rpoint(sK45(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,[],[f1305]) ).
fof(f1305,plain,
! [X3,X1,X6,X7,X5] :
( rpoint(sK45(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,[],[f1304]) ).
fof(f1304,plain,
! [X3,X1,X6,X7,X4,X5] :
( rpoint(sK45(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,[],[f1303]) ).
fof(f1303,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( rpoint(sK45(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,[],[f744]) ).
fof(f744,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( rpoint(sK45(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,[],[f519]) ).
fof(f7855,plain,
spl51_461,
inference(avatar_split_clause,[],[f1045,f7853]) ).
fof(f7853,plain,
( spl51_461
<=> ! [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,[spl51_461])]) ).
fof(f1045,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,[],[f1044]) ).
fof(f1044,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,[],[f1043]) ).
fof(f1043,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,[],[f1042]) ).
fof(f1042,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,[],[f791]) ).
fof(f791,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,[],[f676,f539]) ).
fof(f676,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,[],[f490]) ).
fof(f490,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,[],[f328]) ).
fof(f328,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,[],[f327]) ).
fof(f327,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,[],[f169]) ).
fof(f169,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,[],[f13]) ).
fof(f13,axiom,
! [X66,X67,X68,X69,X70] :
( ( ? [X73] :
( rpoint(X73)
& X66 = X73 )
& ? [X72] :
( rpoint(X72)
& X67 = X72 )
& ? [X71] :
( rpoint(X71)
& X68 = X71 )
& rline(X70)
& X69 = X70
& X66 != X67
& ron(X66,X69)
& ron(X67,X69) )
=> ( vg(X66,X67,X68) = v0
<=> ron(X68,X69) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(200), 0), imp(cond(axiom(200), 0)))') ).
fof(f7851,plain,
spl51_460,
inference(avatar_split_clause,[],[f1041,f7849]) ).
fof(f1041,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,[],[f1040]) ).
fof(f1040,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,[],[f1039]) ).
fof(f1039,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,[],[f1038]) ).
fof(f1038,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,[],[f790]) ).
fof(f790,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,[],[f677,f539]) ).
fof(f677,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,[],[f490]) ).
fof(f7847,plain,
spl51_459,
inference(avatar_split_clause,[],[f971,f7845]) ).
fof(f971,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,[],[f970]) ).
fof(f970,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,[],[f969]) ).
fof(f969,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,[],[f968]) ).
fof(f968,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,[],[f652]) ).
fof(f652,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,[],[f302]) ).
fof(f302,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,[],[f301]) ).
fof(f301,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,[],[f155]) ).
fof(f155,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,[],[f75]) ).
fof(f75,axiom,
! [X505,X506,X507,X508] :
( ( ? [X512] :
( rpoint(X512)
& X505 = X512 )
& ? [X511] :
( rpoint(X511)
& X506 = X511 )
& X505 != X506
& ? [X510] :
( rline(X510)
& X507 = X510 )
& ? [X509] :
( rline(X509)
& X508 = X509 )
& ron(X505,X507)
& ron(X505,X508)
& ron(X506,X507)
& ron(X506,X508) )
=> X507 = X508 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(73), 0), imp(cond(axiom(73), 0)))') ).
fof(f7843,plain,
spl51_458,
inference(avatar_split_clause,[],[f1174,f7841]) ).
fof(f7841,plain,
( spl51_458
<=> ! [X7,X8,X5,X1] :
( rR(X8,X7,sK40(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,[spl51_458])]) ).
fof(f1174,plain,
! [X1,X8,X7,X5] :
( rR(X8,X7,sK40(X7,X8,X5))
| ~ rline(X1)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ ron(X7,X1)
| ~ ron(X8,X1)
| ~ rpoint(X5)
| ~ rR(X8,X7,X5) ),
inference(equality_resolution,[],[f1173]) ).
fof(f1173,plain,
! [X1,X8,X7,X4,X5] :
( rR(X8,X7,sK40(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,[],[f1172]) ).
fof(f1172,plain,
! [X3,X1,X8,X7,X4,X5] :
( rR(X3,X7,sK40(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,[],[f1171]) ).
fof(f1171,plain,
! [X2,X3,X1,X8,X7,X4,X5] :
( rR(X3,X2,sK40(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,[],[f708]) ).
fof(f708,plain,
! [X2,X3,X0,X1,X8,X7,X4,X5] :
( rR(X3,X2,sK40(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,[],[f505]) ).
fof(f505,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( rpoint(sK40(X2,X3,X4))
& rR(X3,X2,sK40(X2,X3,X4))
& sK40(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,[sK40])],[f503,f504]) ).
fof(f504,plain,
! [X2,X3,X4] :
( ? [X6] :
( rpoint(X6)
& rR(X3,X2,X6)
& X4 != X6 )
=> ( rpoint(sK40(X2,X3,X4))
& rR(X3,X2,sK40(X2,X3,X4))
& sK40(X2,X3,X4) != X4 ) ),
introduced(choice_axiom,[]) ).
fof(f503,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,[],[f358]) ).
fof(f358,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,[],[f357]) ).
fof(f357,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,[],[f185]) ).
fof(f185,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,[],[f94]) ).
fof(f94,axiom,
! [X625,X626,X627,X628,X629,X630] :
( ( rline(X626)
& X625 = X626
& ? [X632] :
( rpoint(X632)
& X627 = X632 )
& ? [X631] :
( rpoint(X631)
& X628 = X631 )
& ron(X627,X625)
& ron(X628,X625)
& rpoint(X630)
& rR(X628,X627,X629)
& X629 = X630 )
=> ? [X633] :
( rpoint(X633)
& rR(X628,X627,X633)
& X629 != X633 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(31), 0), imp(cond(axiom(31), 0)))') ).
fof(f7839,plain,
spl51_457,
inference(avatar_split_clause,[],[f1098,f7837]) ).
fof(f7837,plain,
( spl51_457
<=> ! [X7,X8,X6,X1] :
( rR(sK38(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,[spl51_457])]) ).
fof(f1098,plain,
! [X1,X8,X6,X7] :
( rR(sK38(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,[],[f1097]) ).
fof(f1097,plain,
! [X1,X8,X6,X7,X4] :
( rR(sK38(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,[],[f1096]) ).
fof(f1096,plain,
! [X3,X1,X8,X6,X7,X4] :
( rR(sK38(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,[],[f1095]) ).
fof(f1095,plain,
! [X2,X3,X1,X8,X6,X7,X4] :
( rR(sK38(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,[],[f690]) ).
fof(f690,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4] :
( rR(sK38(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,[],[f496]) ).
fof(f496,plain,
! [X0,X1,X2,X3,X4] :
( ( rpoint(sK38(X2,X3,X4))
& rR(sK38(X2,X3,X4),X2,X3)
& sK38(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,[sK38])],[f494,f495]) ).
fof(f495,plain,
! [X2,X3,X4] :
( ? [X5] :
( rpoint(X5)
& rR(X5,X2,X3)
& X4 != X5 )
=> ( rpoint(sK38(X2,X3,X4))
& rR(sK38(X2,X3,X4),X2,X3)
& sK38(X2,X3,X4) != X4 ) ),
introduced(choice_axiom,[]) ).
fof(f494,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,[],[f340]) ).
fof(f340,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,[],[f339]) ).
fof(f339,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,[],[f175]) ).
fof(f175,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,[],[f97]) ).
fof(f97,axiom,
! [X652,X653,X654,X655,X656] :
( ( rline(X653)
& X652 = X653
& ? [X659] :
( rpoint(X659)
& X654 = X659 )
& ? [X658] :
( rpoint(X658)
& X655 = X658 )
& ? [X657] :
( rpoint(X657)
& X656 = X657 )
& ron(X654,X652)
& ron(X655,X652)
& rR(X656,X654,X655) )
=> ? [X660] :
( rpoint(X660)
& rR(X660,X654,X655)
& X656 != X660 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(25), 0), imp(cond(axiom(25), 0)))') ).
fof(f7828,plain,
( spl51_456
| ~ spl51_8
| ~ spl51_444 ),
inference(avatar_split_clause,[],[f6346,f6342,f1453,f7825]) ).
fof(f7825,plain,
( spl51_456
<=> vd684 = vg(vd1056,vd1056,sK32(sK5,vd1056)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_456])]) ).
fof(f6346,plain,
( vd684 = vg(vd1056,vd1056,sK32(sK5,vd1056))
| ~ spl51_8
| ~ spl51_444 ),
inference(resolution,[],[f6343,f1455]) ).
fof(f7823,plain,
spl51_455,
inference(avatar_split_clause,[],[f1322,f7821]) ).
fof(f7821,plain,
( spl51_455
<=> ! [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,[spl51_455])]) ).
fof(f1322,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,[],[f1321]) ).
fof(f1321,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,[],[f1320]) ).
fof(f1320,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,[],[f1319]) ).
fof(f1319,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,[],[f750]) ).
fof(f750,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,[],[f412]) ).
fof(f412,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,[],[f392,f411]) ).
fof(f411,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(f392,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,[],[f391]) ).
fof(f391,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,[],[f202]) ).
fof(f202,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,[],[f91]) ).
fof(f91,axiom,
! [X604,X605,X606,X607,X608,X609,X610,X611] :
( ( rline(X605)
& X604 = X605
& rpoint(X607)
& ~ ron(X606,X604)
& rpoint(X609)
& rS(X608,X606,X604)
& rpoint(X611)
& rS(X610,X606,X604)
& X610 = X611
& X608 = X609
& X606 = X607 )
=> ? [X612] :
( rpoint(X612)
& rS(X612,X606,X604)
& X606 != X612
& X608 != X612
& X610 != X612 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(37), 0), imp(cond(axiom(37), 0)))') ).
fof(f7819,plain,
spl51_454,
inference(avatar_split_clause,[],[f1178,f7817]) ).
fof(f7817,plain,
( spl51_454
<=> ! [X7,X8,X5,X1] :
( sK40(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,[spl51_454])]) ).
fof(f1178,plain,
! [X1,X8,X7,X5] :
( sK40(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,[],[f1177]) ).
fof(f1177,plain,
! [X1,X8,X7,X4,X5] :
( sK40(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,[],[f1176]) ).
fof(f1176,plain,
! [X3,X1,X8,X7,X4,X5] :
( sK40(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,[],[f1175]) ).
fof(f1175,plain,
! [X2,X3,X1,X8,X7,X4,X5] :
( sK40(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,[],[f707]) ).
fof(f707,plain,
! [X2,X3,X0,X1,X8,X7,X4,X5] :
( sK40(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,[],[f505]) ).
fof(f7815,plain,
spl51_453,
inference(avatar_split_clause,[],[f1102,f7813]) ).
fof(f7813,plain,
( spl51_453
<=> ! [X7,X8,X6,X1] :
( sK38(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,[spl51_453])]) ).
fof(f1102,plain,
! [X1,X8,X6,X7] :
( sK38(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,[],[f1101]) ).
fof(f1101,plain,
! [X1,X8,X6,X7,X4] :
( sK38(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,[],[f1100]) ).
fof(f1100,plain,
! [X3,X1,X8,X6,X7,X4] :
( sK38(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,[],[f1099]) ).
fof(f1099,plain,
! [X2,X3,X1,X8,X6,X7,X4] :
( sK38(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,[],[f689]) ).
fof(f689,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4] :
( sK38(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,[],[f496]) ).
fof(f7106,plain,
( ~ spl51_1
| ~ spl51_20
| spl51_450 ),
inference(avatar_split_clause,[],[f6465,f6458,f1509,f1418]) ).
fof(f6465,plain,
( ~ rcircle(sK5)
| ~ spl51_20
| spl51_450 ),
inference(resolution,[],[f6460,f1510]) ).
fof(f6460,plain,
( ~ rpoint(sK13(sK5))
| spl51_450 ),
inference(avatar_component_clause,[],[f6458]) ).
fof(f6469,plain,
( spl51_452
| ~ spl51_7
| ~ spl51_218 ),
inference(avatar_split_clause,[],[f3443,f3060,f1448,f6467]) ).
fof(f6467,plain,
( spl51_452
<=> ! [X0] :
( ~ rpoint(X0)
| vd1058 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_452])]) ).
fof(f3060,plain,
( spl51_218
<=> ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_218])]) ).
fof(f3443,plain,
( ! [X0] :
( ~ rpoint(X0)
| vd1058 = X0 )
| ~ spl51_7
| ~ spl51_218 ),
inference(resolution,[],[f3061,f1450]) ).
fof(f3061,plain,
( ! [X0,X1] :
( ~ rpoint(X1)
| ~ rpoint(X0)
| X0 = X1 )
| ~ spl51_218 ),
inference(avatar_component_clause,[],[f3060]) ).
fof(f6464,plain,
( ~ spl51_1
| ~ spl51_450
| spl51_451
| ~ spl51_27
| ~ spl51_210 ),
inference(avatar_split_clause,[],[f2982,f2978,f1537,f6462,f6458,f1418]) ).
fof(f6462,plain,
( spl51_451
<=> ! [X0] :
( ~ rpoint(X0)
| ~ ron(X0,sK5)
| vf(vd1058,X0) = vf(vd1058,sK13(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_451])]) ).
fof(f2978,plain,
( spl51_210
<=> ! [X0,X1] :
( ~ ron(X0,sK5)
| ~ rpoint(X0)
| vf(vd1058,X0) = vf(vd1058,X1)
| ~ rpoint(X1)
| ~ ron(X1,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_210])]) ).
fof(f2982,plain,
( ! [X0] :
( ~ rpoint(X0)
| vf(vd1058,X0) = vf(vd1058,sK13(sK5))
| ~ rpoint(sK13(sK5))
| ~ ron(X0,sK5)
| ~ rcircle(sK5) )
| ~ spl51_27
| ~ spl51_210 ),
inference(resolution,[],[f2979,f1538]) ).
fof(f2979,plain,
( ! [X0,X1] :
( ~ ron(X1,sK5)
| ~ rpoint(X0)
| vf(vd1058,X0) = vf(vd1058,X1)
| ~ rpoint(X1)
| ~ ron(X0,sK5) )
| ~ spl51_210 ),
inference(avatar_component_clause,[],[f2978]) ).
fof(f6431,plain,
( spl51_449
| ~ spl51_1
| ~ spl51_8
| ~ spl51_4
| ~ spl51_336 ),
inference(avatar_split_clause,[],[f5399,f5279,f1433,f1453,f1418,f6429]) ).
fof(f6429,plain,
( spl51_449
<=> ! [X0] :
( ~ rpoint(X0)
| vf(X0,sK32(sK5,vd1056)) = vf(sK32(sK5,vd1056),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_449])]) ).
fof(f5279,plain,
( spl51_336
<=> ! [X2,X0,X1] :
( ~ rcircle(X0)
| ~ rpoint(X1)
| ~ ron(X1,X0)
| ~ rpoint(X2)
| vf(X2,sK32(X0,X1)) = vf(sK32(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_336])]) ).
fof(f5399,plain,
( ! [X0] :
( ~ rpoint(vd1056)
| ~ rcircle(sK5)
| ~ rpoint(X0)
| vf(X0,sK32(sK5,vd1056)) = vf(sK32(sK5,vd1056),X0) )
| ~ spl51_4
| ~ spl51_336 ),
inference(resolution,[],[f5280,f1435]) ).
fof(f5280,plain,
( ! [X2,X0,X1] :
( ~ ron(X1,X0)
| ~ rpoint(X1)
| ~ rcircle(X0)
| ~ rpoint(X2)
| vf(X2,sK32(X0,X1)) = vf(sK32(X0,X1),X2) )
| ~ spl51_336 ),
inference(avatar_component_clause,[],[f5279]) ).
fof(f6405,plain,
( spl51_448
| ~ spl51_1
| ~ spl51_8
| ~ spl51_4
| ~ spl51_335 ),
inference(avatar_split_clause,[],[f5377,f5275,f1433,f1453,f1418,f6403]) ).
fof(f6403,plain,
( spl51_448
<=> ! [X0] :
( ~ rpoint(X0)
| vf(X0,sK32(sK5,vd1056)) = sK18(X0,sK32(sK5,vd1056)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_448])]) ).
fof(f5275,plain,
( spl51_335
<=> ! [X2,X0,X1] :
( ~ rcircle(X0)
| ~ rpoint(X1)
| ~ ron(X1,X0)
| ~ rpoint(X2)
| vf(X2,sK32(X0,X1)) = sK18(X2,sK32(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_335])]) ).
fof(f5377,plain,
( ! [X0] :
( ~ rpoint(vd1056)
| ~ rcircle(sK5)
| ~ rpoint(X0)
| vf(X0,sK32(sK5,vd1056)) = sK18(X0,sK32(sK5,vd1056)) )
| ~ spl51_4
| ~ spl51_335 ),
inference(resolution,[],[f5276,f1435]) ).
fof(f5276,plain,
( ! [X2,X0,X1] :
( ~ ron(X1,X0)
| ~ rpoint(X1)
| ~ rcircle(X0)
| ~ rpoint(X2)
| vf(X2,sK32(X0,X1)) = sK18(X2,sK32(X0,X1)) )
| ~ spl51_335 ),
inference(avatar_component_clause,[],[f5275]) ).
fof(f6382,plain,
( ~ spl51_7
| spl51_447
| ~ spl51_29
| ~ spl51_153 ),
inference(avatar_split_clause,[],[f2431,f2391,f1548,f6380,f1448]) ).
fof(f6380,plain,
( spl51_447
<=> ! [X0,X1] :
( rless(vf(X0,vd1058),vf(X0,X1))
| ~ ron(X1,sK5)
| ~ rcenter(X0,sK5)
| ~ rpoint(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_447])]) ).
fof(f1548,plain,
( spl51_29
<=> rinside(vd1058,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_29])]) ).
fof(f2391,plain,
( spl51_153
<=> ! [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,[spl51_153])]) ).
fof(f2431,plain,
( ! [X0,X1] :
( rless(vf(X0,vd1058),vf(X0,X1))
| ~ rpoint(vd1058)
| ~ rpoint(X1)
| ~ rcenter(X0,sK5)
| ~ ron(X1,sK5) )
| ~ spl51_29
| ~ spl51_153 ),
inference(resolution,[],[f2392,f1550]) ).
fof(f1550,plain,
( rinside(vd1058,sK5)
| ~ spl51_29 ),
inference(avatar_component_clause,[],[f1548]) ).
fof(f2392,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) )
| ~ spl51_153 ),
inference(avatar_component_clause,[],[f2391]) ).
fof(f6375,plain,
( spl51_446
| ~ spl51_7
| ~ spl51_444 ),
inference(avatar_split_clause,[],[f6345,f6342,f1448,f6372]) ).
fof(f6372,plain,
( spl51_446
<=> vd684 = vg(vd1058,vd1058,sK32(sK5,vd1056)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_446])]) ).
fof(f6345,plain,
( vd684 = vg(vd1058,vd1058,sK32(sK5,vd1056))
| ~ spl51_7
| ~ spl51_444 ),
inference(resolution,[],[f6343,f1450]) ).
fof(f6370,plain,
( spl51_445
| ~ spl51_3
| ~ spl51_323 ),
inference(avatar_split_clause,[],[f5223,f4762,f1428,f6368]) ).
fof(f1428,plain,
( spl51_3
<=> rcenter(vd1058,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_3])]) ).
fof(f4762,plain,
( spl51_323
<=> ! [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,[spl51_323])]) ).
fof(f5223,plain,
( ! [X0,X1] :
( ~ rcenter(vd1058,X0)
| ~ rpoint(X1)
| ~ ron(X1,X0)
| ~ ron(X1,sK5)
| sK5 = X0 )
| ~ spl51_3
| ~ spl51_323 ),
inference(resolution,[],[f4763,f1430]) ).
fof(f1430,plain,
( rcenter(vd1058,sK5)
| ~ spl51_3 ),
inference(avatar_component_clause,[],[f1428]) ).
fof(f4763,plain,
( ! [X2,X3,X0,X1] :
( ~ rcenter(X1,X3)
| ~ rcenter(X1,X2)
| ~ rpoint(X0)
| ~ ron(X0,X2)
| ~ ron(X0,X3)
| X2 = X3 )
| ~ spl51_323 ),
inference(avatar_component_clause,[],[f4762]) ).
fof(f6344,plain,
( spl51_444
| ~ spl51_1
| ~ spl51_8
| ~ spl51_4
| ~ spl51_307 ),
inference(avatar_split_clause,[],[f4900,f4675,f1433,f1453,f1418,f6342]) ).
fof(f4675,plain,
( spl51_307
<=> ! [X2,X0,X1] :
( ~ rcircle(X0)
| ~ rpoint(X1)
| ~ ron(X1,X0)
| ~ rpoint(X2)
| vd684 = vg(X2,X2,sK32(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_307])]) ).
fof(f4900,plain,
( ! [X0] :
( ~ rpoint(vd1056)
| ~ rcircle(sK5)
| ~ rpoint(X0)
| vd684 = vg(X0,X0,sK32(sK5,vd1056)) )
| ~ spl51_4
| ~ spl51_307 ),
inference(resolution,[],[f4676,f1435]) ).
fof(f4676,plain,
( ! [X2,X0,X1] :
( ~ ron(X1,X0)
| ~ rpoint(X1)
| ~ rcircle(X0)
| ~ rpoint(X2)
| vd684 = vg(X2,X2,sK32(X0,X1)) )
| ~ spl51_307 ),
inference(avatar_component_clause,[],[f4675]) ).
fof(f6330,plain,
( spl51_443
| ~ spl51_1
| ~ spl51_8
| ~ spl51_4
| ~ spl51_292 ),
inference(avatar_split_clause,[],[f4601,f4575,f1433,f1453,f1418,f6327]) ).
fof(f6327,plain,
( spl51_443
<=> vd684 = vf(sK32(sK5,vd1056),sK32(sK5,vd1056)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_443])]) ).
fof(f4575,plain,
( spl51_292
<=> ! [X0,X1] :
( ~ rcircle(X0)
| ~ rpoint(X1)
| ~ ron(X1,X0)
| vd684 = vf(sK32(X0,X1),sK32(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_292])]) ).
fof(f4601,plain,
( ~ rpoint(vd1056)
| ~ rcircle(sK5)
| vd684 = vf(sK32(sK5,vd1056),sK32(sK5,vd1056))
| ~ spl51_4
| ~ spl51_292 ),
inference(resolution,[],[f4576,f1435]) ).
fof(f4576,plain,
( ! [X0,X1] :
( ~ ron(X1,X0)
| ~ rpoint(X1)
| ~ rcircle(X0)
| vd684 = vf(sK32(X0,X1),sK32(X0,X1)) )
| ~ spl51_292 ),
inference(avatar_component_clause,[],[f4575]) ).
fof(f6325,plain,
( spl51_442
| ~ spl51_189
| ~ spl51_198 ),
inference(avatar_split_clause,[],[f2934,f2927,f2835,f6323]) ).
fof(f6323,plain,
( spl51_442
<=> ! [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)
| rS(X17,sK49(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK35(X17,sK49(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)))
| ~ rcircle(X14)
| ~ rpoint(sK49(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
| rintersect(sK34(X14),X14)
| ~ rpoint(X17)
| ~ ron(X17,X14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_442])]) ).
fof(f2927,plain,
( spl51_198
<=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X15,X5,X12,X13] :
( ron(sK49(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,[spl51_198])]) ).
fof(f2934,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)
| rS(X17,sK49(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK35(X17,sK49(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)))
| ~ rcircle(X14)
| ~ rpoint(sK49(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
| rintersect(sK34(X14),X14)
| ~ rpoint(X17)
| ~ ron(X17,X14) )
| ~ spl51_189
| ~ spl51_198 ),
inference(resolution,[],[f2928,f2836]) ).
fof(f2928,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X15,X5,X12,X13] :
( ron(sK49(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) )
| ~ spl51_198 ),
inference(avatar_component_clause,[],[f2927]) ).
fof(f6321,plain,
( spl51_441
| ~ spl51_9
| ~ spl51_388 ),
inference(avatar_split_clause,[],[f6297,f5958,f1458,f6318]) ).
fof(f6318,plain,
( spl51_441
<=> vd684 = vg(sK11(vd1063),sK11(vd1063),sK15(sK5,vskolem1061)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_441])]) ).
fof(f1458,plain,
( spl51_9
<=> rcircle(vd1063) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_9])]) ).
fof(f6297,plain,
( vd684 = vg(sK11(vd1063),sK11(vd1063),sK15(sK5,vskolem1061))
| ~ spl51_9
| ~ spl51_388 ),
inference(resolution,[],[f5959,f1460]) ).
fof(f1460,plain,
( rcircle(vd1063)
| ~ spl51_9 ),
inference(avatar_component_clause,[],[f1458]) ).
fof(f6316,plain,
( spl51_440
| ~ spl51_129
| ~ spl51_197 ),
inference(avatar_split_clause,[],[f2925,f2902,f2107,f6314]) ).
fof(f6314,plain,
( spl51_440
<=> ! [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,sK48(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) = sK20(X17,X18,sK48(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_440])]) ).
fof(f2902,plain,
( spl51_197
<=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X15,X5,X12,X13] :
( rpoint(sK48(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,[spl51_197])]) ).
fof(f2925,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,sK48(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) = sK20(X17,X18,sK48(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) )
| ~ spl51_129
| ~ spl51_197 ),
inference(resolution,[],[f2903,f2108]) ).
fof(f2903,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X15,X5,X12,X13] :
( rpoint(sK48(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) )
| ~ spl51_197 ),
inference(avatar_component_clause,[],[f2902]) ).
fof(f6312,plain,
( spl51_439
| ~ spl51_128
| ~ spl51_197 ),
inference(avatar_split_clause,[],[f2924,f2902,f2103,f6310]) ).
fof(f6310,plain,
( spl51_439
<=> ! [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,sK48(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) = vg(X17,sK48(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),X18) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_439])]) ).
fof(f2924,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,sK48(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) = vg(X17,sK48(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),X18) )
| ~ spl51_128
| ~ spl51_197 ),
inference(resolution,[],[f2903,f2104]) ).
fof(f6308,plain,
( spl51_438
| ~ spl51_127
| ~ spl51_197 ),
inference(avatar_split_clause,[],[f2923,f2902,f2099,f6306]) ).
fof(f6306,plain,
( spl51_438
<=> ! [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,sK48(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) = vg(sK48(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,[spl51_438])]) ).
fof(f2923,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,sK48(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) = vg(sK48(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),X17,X18) )
| ~ spl51_127
| ~ spl51_197 ),
inference(resolution,[],[f2903,f2100]) ).
fof(f6304,plain,
( spl51_437
| ~ spl51_129
| ~ spl51_196 ),
inference(avatar_split_clause,[],[f2918,f2898,f2107,f6302]) ).
fof(f6302,plain,
( spl51_437
<=> ! [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,sK49(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) = sK20(X17,X18,sK49(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_437])]) ).
fof(f2898,plain,
( spl51_196
<=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X15,X5,X12,X13] :
( rpoint(sK49(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,[spl51_196])]) ).
fof(f2918,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,sK49(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) = sK20(X17,X18,sK49(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) )
| ~ spl51_129
| ~ spl51_196 ),
inference(resolution,[],[f2899,f2108]) ).
fof(f2899,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X15,X5,X12,X13] :
( rpoint(sK49(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) )
| ~ spl51_196 ),
inference(avatar_component_clause,[],[f2898]) ).
fof(f6296,plain,
( spl51_436
| ~ spl51_128
| ~ spl51_196 ),
inference(avatar_split_clause,[],[f2917,f2898,f2103,f6294]) ).
fof(f6294,plain,
( spl51_436
<=> ! [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,sK49(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) = vg(X17,sK49(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),X18) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_436])]) ).
fof(f2917,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,sK49(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) = vg(X17,sK49(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),X18) )
| ~ spl51_128
| ~ spl51_196 ),
inference(resolution,[],[f2899,f2104]) ).
fof(f6292,plain,
( spl51_435
| ~ spl51_127
| ~ spl51_196 ),
inference(avatar_split_clause,[],[f2916,f2898,f2099,f6290]) ).
fof(f6290,plain,
( spl51_435
<=> ! [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,sK49(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) = vg(sK49(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,[spl51_435])]) ).
fof(f2916,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,sK49(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) = vg(sK49(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),X17,X18) )
| ~ spl51_127
| ~ spl51_196 ),
inference(resolution,[],[f2899,f2100]) ).
fof(f6288,plain,
( spl51_434
| ~ spl51_129
| ~ spl51_195 ),
inference(avatar_split_clause,[],[f2911,f2894,f2107,f6286]) ).
fof(f6286,plain,
( spl51_434
<=> ! [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,sK50(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) = sK20(X17,X18,sK50(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_434])]) ).
fof(f2894,plain,
( spl51_195
<=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X15,X5,X12,X13] :
( rpoint(sK50(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,[spl51_195])]) ).
fof(f2911,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,sK50(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) = sK20(X17,X18,sK50(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) )
| ~ spl51_129
| ~ spl51_195 ),
inference(resolution,[],[f2895,f2108]) ).
fof(f2895,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X15,X5,X12,X13] :
( rpoint(sK50(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) )
| ~ spl51_195 ),
inference(avatar_component_clause,[],[f2894]) ).
fof(f6284,plain,
( spl51_433
| ~ spl51_128
| ~ spl51_195 ),
inference(avatar_split_clause,[],[f2910,f2894,f2103,f6282]) ).
fof(f6282,plain,
( spl51_433
<=> ! [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,sK50(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) = vg(X17,sK50(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),X18) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_433])]) ).
fof(f2910,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,sK50(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) = vg(X17,sK50(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),X18) )
| ~ spl51_128
| ~ spl51_195 ),
inference(resolution,[],[f2895,f2104]) ).
fof(f6280,plain,
( spl51_432
| ~ spl51_127
| ~ spl51_195 ),
inference(avatar_split_clause,[],[f2909,f2894,f2099,f6278]) ).
fof(f6278,plain,
( spl51_432
<=> ! [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,sK50(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) = vg(sK50(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,[spl51_432])]) ).
fof(f2909,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,sK50(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) = vg(sK50(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),X17,X18) )
| ~ spl51_127
| ~ spl51_195 ),
inference(resolution,[],[f2895,f2100]) ).
fof(f6276,plain,
( spl51_431
| ~ spl51_21
| ~ spl51_301 ),
inference(avatar_split_clause,[],[f5357,f4651,f1513,f6274]) ).
fof(f6274,plain,
( spl51_431
<=> ! [X0] :
( vd684 = vg(sK14(X0),sK14(X0),sK16(sK5,vskolem1061))
| ~ rpoint(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_431])]) ).
fof(f5357,plain,
( ! [X0] :
( vd684 = vg(sK14(X0),sK14(X0),sK16(sK5,vskolem1061))
| ~ rpoint(X0) )
| ~ spl51_21
| ~ spl51_301 ),
inference(resolution,[],[f4652,f1514]) ).
fof(f6272,plain,
( spl51_430
| ~ spl51_71
| ~ spl51_197 ),
inference(avatar_split_clause,[],[f2922,f2902,f1762,f6270]) ).
fof(f6270,plain,
( spl51_430
<=> ! [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,sK48(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) = sK18(X17,sK48(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_430])]) ).
fof(f2922,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,sK48(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) = sK18(X17,sK48(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) )
| ~ spl51_71
| ~ spl51_197 ),
inference(resolution,[],[f2903,f1763]) ).
fof(f6268,plain,
( spl51_429
| ~ spl51_70
| ~ spl51_197 ),
inference(avatar_split_clause,[],[f2921,f2902,f1758,f6266]) ).
fof(f6266,plain,
( spl51_429
<=> ! [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(sK48(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),X17) = vf(X17,sK48(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_429])]) ).
fof(f2921,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(sK48(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),X17) = vf(X17,sK48(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) )
| ~ spl51_70
| ~ spl51_197 ),
inference(resolution,[],[f2903,f1759]) ).
fof(f6264,plain,
( spl51_428
| ~ spl51_71
| ~ spl51_196 ),
inference(avatar_split_clause,[],[f2915,f2898,f1762,f6262]) ).
fof(f6262,plain,
( spl51_428
<=> ! [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,sK49(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) = sK18(X17,sK49(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_428])]) ).
fof(f2915,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,sK49(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) = sK18(X17,sK49(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) )
| ~ spl51_71
| ~ spl51_196 ),
inference(resolution,[],[f2899,f1763]) ).
fof(f6260,plain,
( spl51_427
| ~ spl51_70
| ~ spl51_196 ),
inference(avatar_split_clause,[],[f2914,f2898,f1758,f6258]) ).
fof(f6258,plain,
( spl51_427
<=> ! [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(sK49(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),X17) = vf(X17,sK49(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_427])]) ).
fof(f2914,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(sK49(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),X17) = vf(X17,sK49(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) )
| ~ spl51_70
| ~ spl51_196 ),
inference(resolution,[],[f2899,f1759]) ).
fof(f6256,plain,
( spl51_426
| ~ spl51_71
| ~ spl51_195 ),
inference(avatar_split_clause,[],[f2908,f2894,f1762,f6254]) ).
fof(f6254,plain,
( spl51_426
<=> ! [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,sK50(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) = sK18(X17,sK50(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_426])]) ).
fof(f2908,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,sK50(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) = sK18(X17,sK50(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) )
| ~ spl51_71
| ~ spl51_195 ),
inference(resolution,[],[f2895,f1763]) ).
fof(f6252,plain,
( spl51_425
| ~ spl51_70
| ~ spl51_195 ),
inference(avatar_split_clause,[],[f2907,f2894,f1758,f6250]) ).
fof(f6250,plain,
( spl51_425
<=> ! [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(sK50(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),X17) = vf(X17,sK50(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_425])]) ).
fof(f2907,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(sK50(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),X17) = vf(X17,sK50(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) )
| ~ spl51_70
| ~ spl51_195 ),
inference(resolution,[],[f2895,f1759]) ).
fof(f6248,plain,
( spl51_424
| ~ spl51_20
| ~ spl51_301 ),
inference(avatar_split_clause,[],[f5356,f4651,f1509,f6246]) ).
fof(f6246,plain,
( spl51_424
<=> ! [X0] :
( vd684 = vg(sK13(X0),sK13(X0),sK16(sK5,vskolem1061))
| ~ rcircle(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_424])]) ).
fof(f5356,plain,
( ! [X0] :
( vd684 = vg(sK13(X0),sK13(X0),sK16(sK5,vskolem1061))
| ~ rcircle(X0) )
| ~ spl51_20
| ~ spl51_301 ),
inference(resolution,[],[f4652,f1510]) ).
fof(f6244,plain,
( spl51_423
| ~ spl51_37
| ~ spl51_197 ),
inference(avatar_split_clause,[],[f2919,f2902,f1581,f6242]) ).
fof(f6242,plain,
( spl51_423
<=> ! [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(sK48(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK48(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_423])]) ).
fof(f2919,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(sK48(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK48(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) )
| ~ spl51_37
| ~ spl51_197 ),
inference(resolution,[],[f2903,f1582]) ).
fof(f6240,plain,
( spl51_422
| ~ spl51_37
| ~ spl51_196 ),
inference(avatar_split_clause,[],[f2912,f2898,f1581,f6238]) ).
fof(f6238,plain,
( spl51_422
<=> ! [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(sK49(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK49(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_422])]) ).
fof(f2912,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(sK49(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK49(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) )
| ~ spl51_37
| ~ spl51_196 ),
inference(resolution,[],[f2899,f1582]) ).
fof(f6236,plain,
( spl51_421
| ~ spl51_37
| ~ spl51_195 ),
inference(avatar_split_clause,[],[f2905,f2894,f1581,f6234]) ).
fof(f6234,plain,
( spl51_421
<=> ! [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(sK50(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK50(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_421])]) ).
fof(f2905,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(sK50(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK50(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) )
| ~ spl51_37
| ~ spl51_195 ),
inference(resolution,[],[f2895,f1582]) ).
fof(f6232,plain,
( spl51_420
| ~ spl51_62
| ~ spl51_197 ),
inference(avatar_split_clause,[],[f2920,f2902,f1708,f6230]) ).
fof(f6230,plain,
( spl51_420
<=> ! [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,sK48(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_420])]) ).
fof(f2920,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,sK48(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) )
| ~ spl51_62
| ~ spl51_197 ),
inference(resolution,[],[f2903,f1709]) ).
fof(f6228,plain,
( spl51_419
| ~ spl51_62
| ~ spl51_196 ),
inference(avatar_split_clause,[],[f2913,f2898,f1708,f6226]) ).
fof(f6226,plain,
( spl51_419
<=> ! [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,sK49(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_419])]) ).
fof(f2913,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,sK49(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) )
| ~ spl51_62
| ~ spl51_196 ),
inference(resolution,[],[f2899,f1709]) ).
fof(f6224,plain,
( spl51_418
| ~ spl51_62
| ~ spl51_195 ),
inference(avatar_split_clause,[],[f2906,f2894,f1708,f6222]) ).
fof(f6222,plain,
( spl51_418
<=> ! [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,sK50(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_418])]) ).
fof(f2906,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,sK50(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16)) )
| ~ spl51_62
| ~ spl51_195 ),
inference(resolution,[],[f2895,f1709]) ).
fof(f6220,plain,
( spl51_417
| ~ spl51_19
| ~ spl51_301 ),
inference(avatar_split_clause,[],[f5355,f4651,f1505,f6218]) ).
fof(f6218,plain,
( spl51_417
<=> ! [X0] :
( vd684 = vg(sK12(X0),sK12(X0),sK16(sK5,vskolem1061))
| ~ rcircle(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_417])]) ).
fof(f5355,plain,
( ! [X0] :
( vd684 = vg(sK12(X0),sK12(X0),sK16(sK5,vskolem1061))
| ~ rcircle(X0) )
| ~ spl51_19
| ~ spl51_301 ),
inference(resolution,[],[f4652,f1506]) ).
fof(f6216,plain,
( spl51_416
| ~ spl51_138
| ~ spl51_189 ),
inference(avatar_split_clause,[],[f2854,f2835,f2245,f6214]) ).
fof(f6214,plain,
( spl51_416
<=> ! [X0,X3,X2,X1] :
( rS(X0,sK33(X1,X2,X3),sK35(X0,sK33(X1,X2,X3)))
| ~ rcircle(X1)
| ~ rpoint(sK33(X1,X2,X3))
| rintersect(sK34(X1),X1)
| ~ rpoint(X0)
| ~ ron(X0,X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ ron(X2,X1)
| ~ ron(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_416])]) ).
fof(f2245,plain,
( spl51_138
<=> ! [X6,X5,X1] :
( ron(sK33(X1,X5,X6),X1)
| ~ rcircle(X1)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ ron(X5,X1)
| ~ ron(X6,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_138])]) ).
fof(f2854,plain,
( ! [X2,X3,X0,X1] :
( rS(X0,sK33(X1,X2,X3),sK35(X0,sK33(X1,X2,X3)))
| ~ rcircle(X1)
| ~ rpoint(sK33(X1,X2,X3))
| rintersect(sK34(X1),X1)
| ~ rpoint(X0)
| ~ ron(X0,X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ ron(X2,X1)
| ~ ron(X3,X1) )
| ~ spl51_138
| ~ spl51_189 ),
inference(duplicate_literal_removal,[],[f2853]) ).
fof(f2853,plain,
( ! [X2,X3,X0,X1] :
( rS(X0,sK33(X1,X2,X3),sK35(X0,sK33(X1,X2,X3)))
| ~ rcircle(X1)
| ~ rpoint(sK33(X1,X2,X3))
| rintersect(sK34(X1),X1)
| ~ rpoint(X0)
| ~ ron(X0,X1)
| ~ rcircle(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ ron(X2,X1)
| ~ ron(X3,X1) )
| ~ spl51_138
| ~ spl51_189 ),
inference(resolution,[],[f2836,f2246]) ).
fof(f2246,plain,
( ! [X1,X6,X5] :
( ron(sK33(X1,X5,X6),X1)
| ~ rcircle(X1)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ ron(X5,X1)
| ~ ron(X6,X1) )
| ~ spl51_138 ),
inference(avatar_component_clause,[],[f2245]) ).
fof(f6204,plain,
( spl51_415
| ~ spl51_116
| ~ spl51_154 ),
inference(avatar_split_clause,[],[f2434,f2395,f2035,f6202]) ).
fof(f6202,plain,
( spl51_415
<=> ! [X0,X3,X2,X1] :
( rinside(X0,X1)
| ~ rpoint(X0)
| ~ rpoint(X2)
| ~ rcenter(X3,X1)
| ~ ron(X2,X1)
| rless(vf(X3,X2),vf(X3,X0))
| vf(X3,X2) = vf(X3,X0)
| ~ rreal(vf(X3,X0))
| ~ rreal(vf(X3,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_415])]) ).
fof(f2035,plain,
( spl51_116
<=> ! [X1,X3] :
( rless(X3,X1)
| X1 = X3
| rless(X1,X3)
| ~ rreal(X1)
| ~ rreal(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_116])]) ).
fof(f2395,plain,
( spl51_154
<=> ! [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,[spl51_154])]) ).
fof(f2434,plain,
( ! [X2,X3,X0,X1] :
( rinside(X0,X1)
| ~ rpoint(X0)
| ~ rpoint(X2)
| ~ rcenter(X3,X1)
| ~ ron(X2,X1)
| rless(vf(X3,X2),vf(X3,X0))
| vf(X3,X2) = vf(X3,X0)
| ~ rreal(vf(X3,X0))
| ~ rreal(vf(X3,X2)) )
| ~ spl51_116
| ~ spl51_154 ),
inference(resolution,[],[f2396,f2036]) ).
fof(f2036,plain,
( ! [X3,X1] :
( rless(X3,X1)
| rless(X1,X3)
| X1 = X3
| ~ rreal(X1)
| ~ rreal(X3) )
| ~ spl51_116 ),
inference(avatar_component_clause,[],[f2035]) ).
fof(f2396,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) )
| ~ spl51_154 ),
inference(avatar_component_clause,[],[f2395]) ).
fof(f6124,plain,
( spl51_414
| ~ spl51_129
| ~ spl51_135 ),
inference(avatar_split_clause,[],[f2236,f2219,f2107,f6122]) ).
fof(f6122,plain,
( spl51_414
<=> ! [X4,X0,X3,X2,X1] :
( ~ rcircle(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ~ rpoint(X3)
| ~ rpoint(X4)
| vg(X3,X4,sK33(X0,X1,X2)) = sK20(X3,X4,sK33(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_414])]) ).
fof(f2219,plain,
( spl51_135
<=> ! [X6,X5,X1] :
( rpoint(sK33(X1,X5,X6))
| ~ rcircle(X1)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ ron(X5,X1)
| ~ ron(X6,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_135])]) ).
fof(f2236,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ rcircle(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ~ rpoint(X3)
| ~ rpoint(X4)
| vg(X3,X4,sK33(X0,X1,X2)) = sK20(X3,X4,sK33(X0,X1,X2)) )
| ~ spl51_129
| ~ spl51_135 ),
inference(resolution,[],[f2220,f2108]) ).
fof(f2220,plain,
( ! [X1,X6,X5] :
( rpoint(sK33(X1,X5,X6))
| ~ rcircle(X1)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ ron(X5,X1)
| ~ ron(X6,X1) )
| ~ spl51_135 ),
inference(avatar_component_clause,[],[f2219]) ).
fof(f6120,plain,
( spl51_413
| ~ spl51_128
| ~ spl51_135 ),
inference(avatar_split_clause,[],[f2235,f2219,f2103,f6118]) ).
fof(f6118,plain,
( spl51_413
<=> ! [X4,X0,X3,X2,X1] :
( ~ rcircle(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ~ rpoint(X3)
| ~ rpoint(X4)
| vg(X3,X4,sK33(X0,X1,X2)) = vg(X3,sK33(X0,X1,X2),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_413])]) ).
fof(f2235,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ rcircle(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ~ rpoint(X3)
| ~ rpoint(X4)
| vg(X3,X4,sK33(X0,X1,X2)) = vg(X3,sK33(X0,X1,X2),X4) )
| ~ spl51_128
| ~ spl51_135 ),
inference(resolution,[],[f2220,f2104]) ).
fof(f6116,plain,
( spl51_412
| ~ spl51_127
| ~ spl51_135 ),
inference(avatar_split_clause,[],[f2234,f2219,f2099,f6114]) ).
fof(f6114,plain,
( spl51_412
<=> ! [X4,X0,X3,X2,X1] :
( ~ rcircle(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ~ rpoint(X3)
| ~ rpoint(X4)
| vg(X3,X4,sK33(X0,X1,X2)) = vg(sK33(X0,X1,X2),X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_412])]) ).
fof(f2234,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ rcircle(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ~ rpoint(X3)
| ~ rpoint(X4)
| vg(X3,X4,sK33(X0,X1,X2)) = vg(sK33(X0,X1,X2),X3,X4) )
| ~ spl51_127
| ~ spl51_135 ),
inference(resolution,[],[f2220,f2100]) ).
fof(f6112,plain,
( spl51_411
| ~ spl51_18
| ~ spl51_301 ),
inference(avatar_split_clause,[],[f5354,f4651,f1501,f6110]) ).
fof(f6110,plain,
( spl51_411
<=> ! [X0] :
( vd684 = vg(sK11(X0),sK11(X0),sK16(sK5,vskolem1061))
| ~ rcircle(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_411])]) ).
fof(f5354,plain,
( ! [X0] :
( vd684 = vg(sK11(X0),sK11(X0),sK16(sK5,vskolem1061))
| ~ rcircle(X0) )
| ~ spl51_18
| ~ spl51_301 ),
inference(resolution,[],[f4652,f1502]) ).
fof(f6108,plain,
( spl51_410
| ~ spl51_119
| ~ spl51_133 ),
inference(avatar_split_clause,[],[f2214,f2205,f2047,f6106]) ).
fof(f6106,plain,
( spl51_410
<=> ! [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,[spl51_410])]) ).
fof(f2047,plain,
( spl51_119
<=> ! [X1,X3] :
( X1 = X3
| ~ rless(X3,X1)
| ~ rreal(X1)
| ~ rreal(X3)
| ~ rless(X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_119])]) ).
fof(f2205,plain,
( spl51_133
<=> ! [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,[spl51_133])]) ).
fof(f2214,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)) )
| ~ spl51_119
| ~ spl51_133 ),
inference(resolution,[],[f2206,f2048]) ).
fof(f2048,plain,
( ! [X3,X1] :
( ~ rless(X3,X1)
| X1 = X3
| ~ rreal(X1)
| ~ rreal(X3)
| ~ rless(X1,X3) )
| ~ spl51_119 ),
inference(avatar_component_clause,[],[f2047]) ).
fof(f2206,plain,
( ! [X3,X1,X5] :
( rless(vplus(X1,X5),vplus(X3,X5))
| ~ rreal(X1)
| ~ rreal(X3)
| ~ rreal(X5)
| ~ rless(X1,X3) )
| ~ spl51_133 ),
inference(avatar_component_clause,[],[f2205]) ).
fof(f6104,plain,
( spl51_409
| ~ spl51_107
| ~ spl51_189 ),
inference(avatar_split_clause,[],[f2857,f2835,f1991,f6102]) ).
fof(f6102,plain,
( spl51_409
<=> ! [X2,X0,X1] :
( rS(X0,sK30(X1,X2),sK35(X0,sK30(X1,X2)))
| ~ rcircle(X1)
| ~ rpoint(sK30(X1,X2))
| rintersect(sK34(X1),X1)
| ~ rpoint(X0)
| ~ ron(X0,X1)
| ~ rcircle(X2)
| ~ rintersect(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_409])]) ).
fof(f1991,plain,
( spl51_107
<=> ! [X1,X3] :
( ron(sK30(X1,X3),X1)
| ~ rcircle(X1)
| ~ rcircle(X3)
| ~ rintersect(X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_107])]) ).
fof(f2857,plain,
( ! [X2,X0,X1] :
( rS(X0,sK30(X1,X2),sK35(X0,sK30(X1,X2)))
| ~ rcircle(X1)
| ~ rpoint(sK30(X1,X2))
| rintersect(sK34(X1),X1)
| ~ rpoint(X0)
| ~ ron(X0,X1)
| ~ rcircle(X2)
| ~ rintersect(X1,X2) )
| ~ spl51_107
| ~ spl51_189 ),
inference(duplicate_literal_removal,[],[f2850]) ).
fof(f2850,plain,
( ! [X2,X0,X1] :
( rS(X0,sK30(X1,X2),sK35(X0,sK30(X1,X2)))
| ~ rcircle(X1)
| ~ rpoint(sK30(X1,X2))
| rintersect(sK34(X1),X1)
| ~ rpoint(X0)
| ~ ron(X0,X1)
| ~ rcircle(X1)
| ~ rcircle(X2)
| ~ rintersect(X1,X2) )
| ~ spl51_107
| ~ spl51_189 ),
inference(resolution,[],[f2836,f1992]) ).
fof(f1992,plain,
( ! [X3,X1] :
( ron(sK30(X1,X3),X1)
| ~ rcircle(X1)
| ~ rcircle(X3)
| ~ rintersect(X1,X3) )
| ~ spl51_107 ),
inference(avatar_component_clause,[],[f1991]) ).
fof(f6100,plain,
( spl51_408
| ~ spl51_108
| ~ spl51_189 ),
inference(avatar_split_clause,[],[f2856,f2835,f1995,f6098]) ).
fof(f6098,plain,
( spl51_408
<=> ! [X2,X0,X1] :
( rS(X0,sK30(X1,X2),sK35(X0,sK30(X1,X2)))
| ~ rcircle(X2)
| ~ rpoint(sK30(X1,X2))
| rintersect(sK34(X2),X2)
| ~ rpoint(X0)
| ~ ron(X0,X2)
| ~ rcircle(X1)
| ~ rintersect(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_408])]) ).
fof(f1995,plain,
( spl51_108
<=> ! [X1,X3] :
( ron(sK30(X1,X3),X3)
| ~ rcircle(X1)
| ~ rcircle(X3)
| ~ rintersect(X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_108])]) ).
fof(f2856,plain,
( ! [X2,X0,X1] :
( rS(X0,sK30(X1,X2),sK35(X0,sK30(X1,X2)))
| ~ rcircle(X2)
| ~ rpoint(sK30(X1,X2))
| rintersect(sK34(X2),X2)
| ~ rpoint(X0)
| ~ ron(X0,X2)
| ~ rcircle(X1)
| ~ rintersect(X1,X2) )
| ~ spl51_108
| ~ spl51_189 ),
inference(duplicate_literal_removal,[],[f2851]) ).
fof(f2851,plain,
( ! [X2,X0,X1] :
( rS(X0,sK30(X1,X2),sK35(X0,sK30(X1,X2)))
| ~ rcircle(X2)
| ~ rpoint(sK30(X1,X2))
| rintersect(sK34(X2),X2)
| ~ rpoint(X0)
| ~ ron(X0,X2)
| ~ rcircle(X1)
| ~ rcircle(X2)
| ~ rintersect(X1,X2) )
| ~ spl51_108
| ~ spl51_189 ),
inference(resolution,[],[f2836,f1996]) ).
fof(f1996,plain,
( ! [X3,X1] :
( ron(sK30(X1,X3),X3)
| ~ rcircle(X1)
| ~ rcircle(X3)
| ~ rintersect(X1,X3) )
| ~ spl51_108 ),
inference(avatar_component_clause,[],[f1995]) ).
fof(f6096,plain,
( spl51_407
| ~ spl51_111
| ~ spl51_189 ),
inference(avatar_split_clause,[],[f2855,f2835,f2007,f6094]) ).
fof(f6094,plain,
( spl51_407
<=> ! [X2,X0,X1] :
( rS(X0,sK32(X1,X2),sK35(X0,sK32(X1,X2)))
| ~ rcircle(X1)
| ~ rpoint(sK32(X1,X2))
| rintersect(sK34(X1),X1)
| ~ rpoint(X0)
| ~ ron(X0,X1)
| ~ rpoint(X2)
| ~ ron(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_407])]) ).
fof(f2007,plain,
( spl51_111
<=> ! [X1,X3] :
( ron(sK32(X1,X3),X1)
| ~ rcircle(X1)
| ~ rpoint(X3)
| ~ ron(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_111])]) ).
fof(f2855,plain,
( ! [X2,X0,X1] :
( rS(X0,sK32(X1,X2),sK35(X0,sK32(X1,X2)))
| ~ rcircle(X1)
| ~ rpoint(sK32(X1,X2))
| rintersect(sK34(X1),X1)
| ~ rpoint(X0)
| ~ ron(X0,X1)
| ~ rpoint(X2)
| ~ ron(X2,X1) )
| ~ spl51_111
| ~ spl51_189 ),
inference(duplicate_literal_removal,[],[f2852]) ).
fof(f2852,plain,
( ! [X2,X0,X1] :
( rS(X0,sK32(X1,X2),sK35(X0,sK32(X1,X2)))
| ~ rcircle(X1)
| ~ rpoint(sK32(X1,X2))
| rintersect(sK34(X1),X1)
| ~ rpoint(X0)
| ~ ron(X0,X1)
| ~ rcircle(X1)
| ~ rpoint(X2)
| ~ ron(X2,X1) )
| ~ spl51_111
| ~ spl51_189 ),
inference(resolution,[],[f2836,f2008]) ).
fof(f2008,plain,
( ! [X3,X1] :
( ron(sK32(X1,X3),X1)
| ~ rcircle(X1)
| ~ rpoint(X3)
| ~ ron(X3,X1) )
| ~ spl51_111 ),
inference(avatar_component_clause,[],[f2007]) ).
fof(f6084,plain,
( spl51_406
| ~ spl51_130
| ~ spl51_133 ),
inference(avatar_split_clause,[],[f2213,f2205,f2111,f6082]) ).
fof(f6082,plain,
( spl51_406
<=> ! [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,[spl51_406])]) ).
fof(f2111,plain,
( spl51_130
<=> ! [X5,X1,X3] :
( rless(X1,X5)
| ~ rreal(X1)
| ~ rreal(X3)
| ~ rreal(X5)
| ~ rless(X1,X3)
| ~ rless(X3,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_130])]) ).
fof(f2213,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)) )
| ~ spl51_130
| ~ spl51_133 ),
inference(resolution,[],[f2206,f2112]) ).
fof(f2112,plain,
( ! [X3,X1,X5] :
( ~ rless(X3,X5)
| ~ rreal(X1)
| ~ rreal(X3)
| ~ rreal(X5)
| ~ rless(X1,X3)
| rless(X1,X5) )
| ~ spl51_130 ),
inference(avatar_component_clause,[],[f2111]) ).
fof(f6080,plain,
( spl51_405
| ~ spl51_21
| ~ spl51_293 ),
inference(avatar_split_clause,[],[f4701,f4595,f1513,f6078]) ).
fof(f6078,plain,
( spl51_405
<=> ! [X0] :
( vd684 = vg(sK14(X0),sK14(X0),sK15(sK5,vskolem1061))
| ~ rpoint(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_405])]) ).
fof(f4701,plain,
( ! [X0] :
( vd684 = vg(sK14(X0),sK14(X0),sK15(sK5,vskolem1061))
| ~ rpoint(X0) )
| ~ spl51_21
| ~ spl51_293 ),
inference(resolution,[],[f4596,f1514]) ).
fof(f6076,plain,
( spl51_404
| ~ spl51_46
| ~ spl51_189 ),
inference(avatar_split_clause,[],[f2849,f2835,f1632,f6074]) ).
fof(f6074,plain,
( spl51_404
<=> ! [X2,X0,X1] :
( rS(X0,sK29(X1,X2),sK35(X0,sK29(X1,X2)))
| ~ rcircle(X1)
| ~ rpoint(sK29(X1,X2))
| rintersect(sK34(X1),X1)
| ~ rpoint(X0)
| ~ ron(X0,X1)
| ~ sP1(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_404])]) ).
fof(f2849,plain,
( ! [X2,X0,X1] :
( rS(X0,sK29(X1,X2),sK35(X0,sK29(X1,X2)))
| ~ rcircle(X1)
| ~ rpoint(sK29(X1,X2))
| rintersect(sK34(X1),X1)
| ~ rpoint(X0)
| ~ ron(X0,X1)
| ~ sP1(X1,X2) )
| ~ spl51_46
| ~ spl51_189 ),
inference(resolution,[],[f2836,f1633]) ).
fof(f6072,plain,
( spl51_403
| ~ spl51_45
| ~ spl51_189 ),
inference(avatar_split_clause,[],[f2848,f2835,f1628,f6070]) ).
fof(f6070,plain,
( spl51_403
<=> ! [X2,X0,X1] :
( rS(X0,sK29(X1,X2),sK35(X0,sK29(X1,X2)))
| ~ rcircle(X2)
| ~ rpoint(sK29(X1,X2))
| rintersect(sK34(X2),X2)
| ~ rpoint(X0)
| ~ ron(X0,X2)
| ~ sP1(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_403])]) ).
fof(f2848,plain,
( ! [X2,X0,X1] :
( rS(X0,sK29(X1,X2),sK35(X0,sK29(X1,X2)))
| ~ rcircle(X2)
| ~ rpoint(sK29(X1,X2))
| rintersect(sK34(X2),X2)
| ~ rpoint(X0)
| ~ ron(X0,X2)
| ~ sP1(X1,X2) )
| ~ spl51_45
| ~ spl51_189 ),
inference(resolution,[],[f2836,f1629]) ).
fof(f6068,plain,
( spl51_402
| ~ spl51_48
| ~ spl51_189 ),
inference(avatar_split_clause,[],[f2847,f2835,f1640,f6066]) ).
fof(f6066,plain,
( spl51_402
<=> ! [X2,X0,X1] :
( rS(X0,sK28(X1,X2),sK35(X0,sK28(X1,X2)))
| ~ rcircle(X1)
| ~ rpoint(sK28(X1,X2))
| rintersect(sK34(X1),X1)
| ~ rpoint(X0)
| ~ ron(X0,X1)
| ~ sP1(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_402])]) ).
fof(f2847,plain,
( ! [X2,X0,X1] :
( rS(X0,sK28(X1,X2),sK35(X0,sK28(X1,X2)))
| ~ rcircle(X1)
| ~ rpoint(sK28(X1,X2))
| rintersect(sK34(X1),X1)
| ~ rpoint(X0)
| ~ ron(X0,X1)
| ~ sP1(X1,X2) )
| ~ spl51_48
| ~ spl51_189 ),
inference(resolution,[],[f2836,f1641]) ).
fof(f6064,plain,
( spl51_401
| ~ spl51_20
| ~ spl51_293 ),
inference(avatar_split_clause,[],[f4700,f4595,f1509,f6062]) ).
fof(f6062,plain,
( spl51_401
<=> ! [X0] :
( vd684 = vg(sK13(X0),sK13(X0),sK15(sK5,vskolem1061))
| ~ rcircle(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_401])]) ).
fof(f4700,plain,
( ! [X0] :
( vd684 = vg(sK13(X0),sK13(X0),sK15(sK5,vskolem1061))
| ~ rcircle(X0) )
| ~ spl51_20
| ~ spl51_293 ),
inference(resolution,[],[f4596,f1510]) ).
fof(f6060,plain,
( spl51_400
| ~ spl51_47
| ~ spl51_189 ),
inference(avatar_split_clause,[],[f2846,f2835,f1636,f6058]) ).
fof(f6058,plain,
( spl51_400
<=> ! [X2,X0,X1] :
( rS(X0,sK28(X1,X2),sK35(X0,sK28(X1,X2)))
| ~ rcircle(X2)
| ~ rpoint(sK28(X1,X2))
| rintersect(sK34(X2),X2)
| ~ rpoint(X0)
| ~ ron(X0,X2)
| ~ sP1(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_400])]) ).
fof(f2846,plain,
( ! [X2,X0,X1] :
( rS(X0,sK28(X1,X2),sK35(X0,sK28(X1,X2)))
| ~ rcircle(X2)
| ~ rpoint(sK28(X1,X2))
| rintersect(sK34(X2),X2)
| ~ rpoint(X0)
| ~ ron(X0,X2)
| ~ sP1(X1,X2) )
| ~ spl51_47
| ~ spl51_189 ),
inference(resolution,[],[f2836,f1637]) ).
fof(f6056,plain,
( spl51_399
| ~ spl51_41
| ~ spl51_189 ),
inference(avatar_split_clause,[],[f2845,f2835,f1611,f6054]) ).
fof(f6054,plain,
( spl51_399
<=> ! [X2,X0,X1] :
( rS(X0,sK16(X1,X2),sK35(X0,sK16(X1,X2)))
| ~ rcircle(X1)
| ~ rpoint(sK16(X1,X2))
| rintersect(sK34(X1),X1)
| ~ rpoint(X0)
| ~ ron(X0,X1)
| ~ sP0(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_399])]) ).
fof(f2845,plain,
( ! [X2,X0,X1] :
( rS(X0,sK16(X1,X2),sK35(X0,sK16(X1,X2)))
| ~ rcircle(X1)
| ~ rpoint(sK16(X1,X2))
| rintersect(sK34(X1),X1)
| ~ rpoint(X0)
| ~ ron(X0,X1)
| ~ sP0(X1,X2) )
| ~ spl51_41
| ~ spl51_189 ),
inference(resolution,[],[f2836,f1612]) ).
fof(f6052,plain,
( spl51_398
| ~ spl51_40
| ~ spl51_189 ),
inference(avatar_split_clause,[],[f2844,f2835,f1607,f6050]) ).
fof(f6050,plain,
( spl51_398
<=> ! [X2,X0,X1] :
( rS(X0,sK16(X1,X2),sK35(X0,sK16(X1,X2)))
| ~ rcircle(X2)
| ~ rpoint(sK16(X1,X2))
| rintersect(sK34(X2),X2)
| ~ rpoint(X0)
| ~ ron(X0,X2)
| ~ sP0(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_398])]) ).
fof(f2844,plain,
( ! [X2,X0,X1] :
( rS(X0,sK16(X1,X2),sK35(X0,sK16(X1,X2)))
| ~ rcircle(X2)
| ~ rpoint(sK16(X1,X2))
| rintersect(sK34(X2),X2)
| ~ rpoint(X0)
| ~ ron(X0,X2)
| ~ sP0(X1,X2) )
| ~ spl51_40
| ~ spl51_189 ),
inference(resolution,[],[f2836,f1608]) ).
fof(f6048,plain,
( spl51_397
| ~ spl51_44
| ~ spl51_189 ),
inference(avatar_split_clause,[],[f2843,f2835,f1624,f6046]) ).
fof(f6046,plain,
( spl51_397
<=> ! [X2,X0,X1] :
( rS(X0,sK15(X1,X2),sK35(X0,sK15(X1,X2)))
| ~ rcircle(X1)
| ~ rpoint(sK15(X1,X2))
| rintersect(sK34(X1),X1)
| ~ rpoint(X0)
| ~ ron(X0,X1)
| ~ sP0(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_397])]) ).
fof(f2843,plain,
( ! [X2,X0,X1] :
( rS(X0,sK15(X1,X2),sK35(X0,sK15(X1,X2)))
| ~ rcircle(X1)
| ~ rpoint(sK15(X1,X2))
| rintersect(sK34(X1),X1)
| ~ rpoint(X0)
| ~ ron(X0,X1)
| ~ sP0(X1,X2) )
| ~ spl51_44
| ~ spl51_189 ),
inference(resolution,[],[f2836,f1625]) ).
fof(f6044,plain,
( spl51_396
| ~ spl51_43
| ~ spl51_189 ),
inference(avatar_split_clause,[],[f2842,f2835,f1620,f6042]) ).
fof(f6042,plain,
( spl51_396
<=> ! [X2,X0,X1] :
( rS(X0,sK15(X1,X2),sK35(X0,sK15(X1,X2)))
| ~ rcircle(X2)
| ~ rpoint(sK15(X1,X2))
| rintersect(sK34(X2),X2)
| ~ rpoint(X0)
| ~ ron(X0,X2)
| ~ sP0(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_396])]) ).
fof(f2842,plain,
( ! [X2,X0,X1] :
( rS(X0,sK15(X1,X2),sK35(X0,sK15(X1,X2)))
| ~ rcircle(X2)
| ~ rpoint(sK15(X1,X2))
| rintersect(sK34(X2),X2)
| ~ rpoint(X0)
| ~ ron(X0,X2)
| ~ sP0(X1,X2) )
| ~ spl51_43
| ~ spl51_189 ),
inference(resolution,[],[f2836,f1621]) ).
fof(f5996,plain,
( spl51_395
| ~ spl51_71
| ~ spl51_135 ),
inference(avatar_split_clause,[],[f2233,f2219,f1762,f5994]) ).
fof(f5994,plain,
( spl51_395
<=> ! [X0,X3,X2,X1] :
( ~ rcircle(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ~ rpoint(X3)
| vf(X3,sK33(X0,X1,X2)) = sK18(X3,sK33(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_395])]) ).
fof(f2233,plain,
( ! [X2,X3,X0,X1] :
( ~ rcircle(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ~ rpoint(X3)
| vf(X3,sK33(X0,X1,X2)) = sK18(X3,sK33(X0,X1,X2)) )
| ~ spl51_71
| ~ spl51_135 ),
inference(resolution,[],[f2220,f1763]) ).
fof(f5992,plain,
( spl51_394
| ~ spl51_70
| ~ spl51_135 ),
inference(avatar_split_clause,[],[f2232,f2219,f1758,f5990]) ).
fof(f5990,plain,
( spl51_394
<=> ! [X0,X3,X2,X1] :
( ~ rcircle(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ~ rpoint(X3)
| vf(sK33(X0,X1,X2),X3) = vf(X3,sK33(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_394])]) ).
fof(f2232,plain,
( ! [X2,X3,X0,X1] :
( ~ rcircle(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ~ rpoint(X3)
| vf(sK33(X0,X1,X2),X3) = vf(X3,sK33(X0,X1,X2)) )
| ~ spl51_70
| ~ spl51_135 ),
inference(resolution,[],[f2220,f1759]) ).
fof(f5983,plain,
( spl51_393
| ~ spl51_19
| ~ spl51_293 ),
inference(avatar_split_clause,[],[f4699,f4595,f1505,f5981]) ).
fof(f5981,plain,
( spl51_393
<=> ! [X0] :
( vd684 = vg(sK12(X0),sK12(X0),sK15(sK5,vskolem1061))
| ~ rcircle(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_393])]) ).
fof(f4699,plain,
( ! [X0] :
( vd684 = vg(sK12(X0),sK12(X0),sK15(sK5,vskolem1061))
| ~ rcircle(X0) )
| ~ spl51_19
| ~ spl51_293 ),
inference(resolution,[],[f4596,f1506]) ).
fof(f5976,plain,
( spl51_392
| ~ spl51_26
| ~ spl51_190 ),
inference(avatar_split_clause,[],[f2880,f2860,f1533,f5974]) ).
fof(f5974,plain,
( spl51_392
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK12(X1))
| ~ rcircle(X1)
| ~ rcircle(X2)
| ~ ron(X0,X1)
| rintersect(X1,X2)
| ~ rinside(X0,X2)
| ron(sK12(X1),X2)
| rinside(sK12(X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_392])]) ).
fof(f2860,plain,
( spl51_190
<=> ! [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,[spl51_190])]) ).
fof(f2880,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK12(X1))
| ~ rcircle(X1)
| ~ rcircle(X2)
| ~ ron(X0,X1)
| rintersect(X1,X2)
| ~ rinside(X0,X2)
| ron(sK12(X1),X2)
| rinside(sK12(X1),X2) )
| ~ spl51_26
| ~ spl51_190 ),
inference(duplicate_literal_removal,[],[f2879]) ).
fof(f2879,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK12(X1))
| ~ rcircle(X1)
| ~ rcircle(X2)
| ~ ron(X0,X1)
| rintersect(X1,X2)
| ~ rinside(X0,X2)
| ron(sK12(X1),X2)
| rinside(sK12(X1),X2)
| ~ rcircle(X1) )
| ~ spl51_26
| ~ spl51_190 ),
inference(resolution,[],[f2861,f1534]) ).
fof(f2861,plain,
( ! [X6,X7,X4,X5] :
( ~ rinside(X5,X6)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rcircle(X6)
| ~ rcircle(X7)
| ~ ron(X4,X6)
| rintersect(X6,X7)
| ~ rinside(X4,X7)
| ron(X5,X7)
| rinside(X5,X7) )
| ~ spl51_190 ),
inference(avatar_component_clause,[],[f2860]) ).
fof(f5972,plain,
( spl51_391
| ~ spl51_66
| ~ spl51_129 ),
inference(avatar_split_clause,[],[f2194,f2107,f1742,f5970]) ).
fof(f5970,plain,
( spl51_391
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK46(X2,X3,X4,X5)) = sK20(X0,X1,sK46(X2,X3,X4,X5))
| ~ sP3(X2,X3,X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_391])]) ).
fof(f1742,plain,
( spl51_66
<=> ! [X0,X3,X2,X1] :
( rpoint(sK46(X0,X1,X2,X3))
| ~ sP3(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_66])]) ).
fof(f2194,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK46(X2,X3,X4,X5)) = sK20(X0,X1,sK46(X2,X3,X4,X5))
| ~ sP3(X2,X3,X4,X5) )
| ~ spl51_66
| ~ spl51_129 ),
inference(resolution,[],[f2108,f1743]) ).
fof(f1743,plain,
( ! [X2,X3,X0,X1] :
( rpoint(sK46(X0,X1,X2,X3))
| ~ sP3(X0,X1,X2,X3) )
| ~ spl51_66 ),
inference(avatar_component_clause,[],[f1742]) ).
fof(f5968,plain,
( spl51_390
| ~ spl51_65
| ~ spl51_129 ),
inference(avatar_split_clause,[],[f2193,f2107,f1738,f5966]) ).
fof(f5966,plain,
( spl51_390
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK36(X2,X3,X4,X5)) = sK20(X0,X1,sK36(X2,X3,X4,X5))
| ~ sP2(X2,X3,X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_390])]) ).
fof(f1738,plain,
( spl51_65
<=> ! [X0,X3,X2,X1] :
( rpoint(sK36(X0,X1,X2,X3))
| ~ sP2(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_65])]) ).
fof(f2193,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK36(X2,X3,X4,X5)) = sK20(X0,X1,sK36(X2,X3,X4,X5))
| ~ sP2(X2,X3,X4,X5) )
| ~ spl51_65
| ~ spl51_129 ),
inference(resolution,[],[f2108,f1739]) ).
fof(f1739,plain,
( ! [X2,X3,X0,X1] :
( rpoint(sK36(X0,X1,X2,X3))
| ~ sP2(X0,X1,X2,X3) )
| ~ spl51_65 ),
inference(avatar_component_clause,[],[f1738]) ).
fof(f5964,plain,
( spl51_389
| ~ spl51_66
| ~ spl51_128 ),
inference(avatar_split_clause,[],[f2170,f2103,f1742,f5962]) ).
fof(f5962,plain,
( spl51_389
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK46(X2,X3,X4,X5)) = vg(X0,sK46(X2,X3,X4,X5),X1)
| ~ sP3(X2,X3,X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_389])]) ).
fof(f2170,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK46(X2,X3,X4,X5)) = vg(X0,sK46(X2,X3,X4,X5),X1)
| ~ sP3(X2,X3,X4,X5) )
| ~ spl51_66
| ~ spl51_128 ),
inference(resolution,[],[f2104,f1743]) ).
fof(f5960,plain,
( spl51_388
| ~ spl51_18
| ~ spl51_293 ),
inference(avatar_split_clause,[],[f4698,f4595,f1501,f5958]) ).
fof(f4698,plain,
( ! [X0] :
( vd684 = vg(sK11(X0),sK11(X0),sK15(sK5,vskolem1061))
| ~ rcircle(X0) )
| ~ spl51_18
| ~ spl51_293 ),
inference(resolution,[],[f4596,f1502]) ).
fof(f5956,plain,
( spl51_387
| ~ spl51_65
| ~ spl51_128 ),
inference(avatar_split_clause,[],[f2169,f2103,f1738,f5954]) ).
fof(f5954,plain,
( spl51_387
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK36(X2,X3,X4,X5)) = vg(X0,sK36(X2,X3,X4,X5),X1)
| ~ sP2(X2,X3,X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_387])]) ).
fof(f2169,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK36(X2,X3,X4,X5)) = vg(X0,sK36(X2,X3,X4,X5),X1)
| ~ sP2(X2,X3,X4,X5) )
| ~ spl51_65
| ~ spl51_128 ),
inference(resolution,[],[f2104,f1739]) ).
fof(f5952,plain,
( spl51_386
| ~ spl51_66
| ~ spl51_127 ),
inference(avatar_split_clause,[],[f2141,f2099,f1742,f5950]) ).
fof(f5950,plain,
( spl51_386
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK46(X2,X3,X4,X5)) = vg(sK46(X2,X3,X4,X5),X0,X1)
| ~ sP3(X2,X3,X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_386])]) ).
fof(f2141,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK46(X2,X3,X4,X5)) = vg(sK46(X2,X3,X4,X5),X0,X1)
| ~ sP3(X2,X3,X4,X5) )
| ~ spl51_66
| ~ spl51_127 ),
inference(resolution,[],[f2100,f1743]) ).
fof(f5948,plain,
( spl51_385
| ~ spl51_65
| ~ spl51_127 ),
inference(avatar_split_clause,[],[f2140,f2099,f1738,f5946]) ).
fof(f5946,plain,
( spl51_385
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK36(X2,X3,X4,X5)) = vg(sK36(X2,X3,X4,X5),X0,X1)
| ~ sP2(X2,X3,X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_385])]) ).
fof(f2140,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK36(X2,X3,X4,X5)) = vg(sK36(X2,X3,X4,X5),X0,X1)
| ~ sP2(X2,X3,X4,X5) )
| ~ spl51_65
| ~ spl51_127 ),
inference(resolution,[],[f2100,f1739]) ).
fof(f5861,plain,
( spl51_384
| ~ spl51_194 ),
inference(avatar_split_clause,[],[f2892,f2889,f5859]) ).
fof(f5859,plain,
( spl51_384
<=> ! [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,[spl51_384])]) ).
fof(f2889,plain,
( spl51_194
<=> ! [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,[spl51_194])]) ).
fof(f2892,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) )
| ~ spl51_194 ),
inference(equality_resolution,[],[f2890]) ).
fof(f2890,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) )
| ~ spl51_194 ),
inference(avatar_component_clause,[],[f2889]) ).
fof(f5857,plain,
( spl51_383
| ~ spl51_26
| ~ spl51_191 ),
inference(avatar_split_clause,[],[f2885,f2864,f1533,f5855]) ).
fof(f5855,plain,
( spl51_383
<=> ! [X2,X0,X1] :
( ~ rpoint(sK12(X0))
| ~ rpoint(X1)
| ~ rcircle(X2)
| ~ rcircle(X0)
| ~ ron(sK12(X0),X2)
| ~ ron(X1,X2)
| rintersect(X2,X0)
| ron(X1,X0)
| rinside(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_383])]) ).
fof(f2864,plain,
( spl51_191
<=> ! [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,[spl51_191])]) ).
fof(f2885,plain,
( ! [X2,X0,X1] :
( ~ rpoint(sK12(X0))
| ~ rpoint(X1)
| ~ rcircle(X2)
| ~ rcircle(X0)
| ~ ron(sK12(X0),X2)
| ~ ron(X1,X2)
| rintersect(X2,X0)
| ron(X1,X0)
| rinside(X1,X0) )
| ~ spl51_26
| ~ spl51_191 ),
inference(duplicate_literal_removal,[],[f2884]) ).
fof(f2884,plain,
( ! [X2,X0,X1] :
( ~ rpoint(sK12(X0))
| ~ rpoint(X1)
| ~ rcircle(X2)
| ~ rcircle(X0)
| ~ ron(sK12(X0),X2)
| ~ ron(X1,X2)
| rintersect(X2,X0)
| ron(X1,X0)
| rinside(X1,X0)
| ~ rcircle(X0) )
| ~ spl51_26
| ~ spl51_191 ),
inference(resolution,[],[f2865,f1534]) ).
fof(f2865,plain,
( ! [X6,X7,X4,X5] :
( ~ rinside(X4,X7)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rcircle(X6)
| ~ rcircle(X7)
| ~ ron(X4,X6)
| ~ ron(X5,X6)
| rintersect(X6,X7)
| ron(X5,X7)
| rinside(X5,X7) )
| ~ spl51_191 ),
inference(avatar_component_clause,[],[f2864]) ).
fof(f5824,plain,
( spl51_382
| ~ spl51_72
| ~ spl51_129 ),
inference(avatar_split_clause,[],[f2183,f2107,f1766,f5822]) ).
fof(f5822,plain,
( spl51_382
<=> ! [X2,X4,X0,X3,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK19(X2,X3,X4)) = sK20(X0,X1,sK19(X2,X3,X4))
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_382])]) ).
fof(f1766,plain,
( spl51_72
<=> ! [X6,X4,X5] :
( rpoint(sK19(X4,X5,X6))
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_72])]) ).
fof(f2183,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK19(X2,X3,X4)) = sK20(X0,X1,sK19(X2,X3,X4))
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X4) )
| ~ spl51_72
| ~ spl51_129 ),
inference(resolution,[],[f2108,f1767]) ).
fof(f1767,plain,
( ! [X6,X4,X5] :
( rpoint(sK19(X4,X5,X6))
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6) )
| ~ spl51_72 ),
inference(avatar_component_clause,[],[f1766]) ).
fof(f5820,plain,
( spl51_381
| ~ spl51_72
| ~ spl51_128 ),
inference(avatar_split_clause,[],[f2159,f2103,f1766,f5818]) ).
fof(f5818,plain,
( spl51_381
<=> ! [X2,X4,X0,X3,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK19(X2,X3,X4)) = vg(X0,sK19(X2,X3,X4),X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_381])]) ).
fof(f2159,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK19(X2,X3,X4)) = vg(X0,sK19(X2,X3,X4),X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X4) )
| ~ spl51_72
| ~ spl51_128 ),
inference(resolution,[],[f2104,f1767]) ).
fof(f5816,plain,
( spl51_380
| ~ spl51_72
| ~ spl51_127 ),
inference(avatar_split_clause,[],[f2130,f2099,f1766,f5814]) ).
fof(f5814,plain,
( spl51_380
<=> ! [X2,X4,X0,X3,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK19(X2,X3,X4)) = vg(sK19(X2,X3,X4),X0,X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_380])]) ).
fof(f2130,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK19(X2,X3,X4)) = vg(sK19(X2,X3,X4),X0,X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X4) )
| ~ spl51_72
| ~ spl51_127 ),
inference(resolution,[],[f2100,f1767]) ).
fof(f5734,plain,
( spl51_379
| ~ spl51_85
| ~ spl51_129 ),
inference(avatar_split_clause,[],[f2192,f2107,f1820,f5732]) ).
fof(f5732,plain,
( spl51_379
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK32(X2,X3)) = sK20(X0,X1,sK32(X2,X3))
| ~ rcircle(X2)
| ~ rpoint(X3)
| ~ ron(X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_379])]) ).
fof(f1820,plain,
( spl51_85
<=> ! [X1,X3] :
( rpoint(sK32(X1,X3))
| ~ rcircle(X1)
| ~ rpoint(X3)
| ~ ron(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_85])]) ).
fof(f2192,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK32(X2,X3)) = sK20(X0,X1,sK32(X2,X3))
| ~ rcircle(X2)
| ~ rpoint(X3)
| ~ ron(X3,X2) )
| ~ spl51_85
| ~ spl51_129 ),
inference(resolution,[],[f2108,f1821]) ).
fof(f1821,plain,
( ! [X3,X1] :
( rpoint(sK32(X1,X3))
| ~ rcircle(X1)
| ~ rpoint(X3)
| ~ ron(X3,X1) )
| ~ spl51_85 ),
inference(avatar_component_clause,[],[f1820]) ).
fof(f5730,plain,
( spl51_378
| ~ spl51_82
| ~ spl51_129 ),
inference(avatar_split_clause,[],[f2190,f2107,f1807,f5728]) ).
fof(f5728,plain,
( spl51_378
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK30(X2,X3)) = sK20(X0,X1,sK30(X2,X3))
| ~ rcircle(X2)
| ~ rcircle(X3)
| ~ rintersect(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_378])]) ).
fof(f1807,plain,
( spl51_82
<=> ! [X1,X3] :
( rpoint(sK30(X1,X3))
| ~ rcircle(X1)
| ~ rcircle(X3)
| ~ rintersect(X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_82])]) ).
fof(f2190,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK30(X2,X3)) = sK20(X0,X1,sK30(X2,X3))
| ~ rcircle(X2)
| ~ rcircle(X3)
| ~ rintersect(X2,X3) )
| ~ spl51_82
| ~ spl51_129 ),
inference(resolution,[],[f2108,f1808]) ).
fof(f1808,plain,
( ! [X3,X1] :
( rpoint(sK30(X1,X3))
| ~ rcircle(X1)
| ~ rcircle(X3)
| ~ rintersect(X1,X3) )
| ~ spl51_82 ),
inference(avatar_component_clause,[],[f1807]) ).
fof(f5726,plain,
( spl51_377
| ~ spl51_85
| ~ spl51_128 ),
inference(avatar_split_clause,[],[f2168,f2103,f1820,f5724]) ).
fof(f5724,plain,
( spl51_377
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK32(X2,X3)) = vg(X0,sK32(X2,X3),X1)
| ~ rcircle(X2)
| ~ rpoint(X3)
| ~ ron(X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_377])]) ).
fof(f2168,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK32(X2,X3)) = vg(X0,sK32(X2,X3),X1)
| ~ rcircle(X2)
| ~ rpoint(X3)
| ~ ron(X3,X2) )
| ~ spl51_85
| ~ spl51_128 ),
inference(resolution,[],[f2104,f1821]) ).
fof(f5722,plain,
( spl51_376
| ~ spl51_82
| ~ spl51_128 ),
inference(avatar_split_clause,[],[f2166,f2103,f1807,f5720]) ).
fof(f5720,plain,
( spl51_376
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK30(X2,X3)) = vg(X0,sK30(X2,X3),X1)
| ~ rcircle(X2)
| ~ rcircle(X3)
| ~ rintersect(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_376])]) ).
fof(f2166,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK30(X2,X3)) = vg(X0,sK30(X2,X3),X1)
| ~ rcircle(X2)
| ~ rcircle(X3)
| ~ rintersect(X2,X3) )
| ~ spl51_82
| ~ spl51_128 ),
inference(resolution,[],[f2104,f1808]) ).
fof(f5718,plain,
( spl51_375
| ~ spl51_85
| ~ spl51_127 ),
inference(avatar_split_clause,[],[f2139,f2099,f1820,f5716]) ).
fof(f5716,plain,
( spl51_375
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK32(X2,X3)) = vg(sK32(X2,X3),X0,X1)
| ~ rcircle(X2)
| ~ rpoint(X3)
| ~ ron(X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_375])]) ).
fof(f2139,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK32(X2,X3)) = vg(sK32(X2,X3),X0,X1)
| ~ rcircle(X2)
| ~ rpoint(X3)
| ~ ron(X3,X2) )
| ~ spl51_85
| ~ spl51_127 ),
inference(resolution,[],[f2100,f1821]) ).
fof(f5714,plain,
( spl51_374
| ~ spl51_82
| ~ spl51_127 ),
inference(avatar_split_clause,[],[f2137,f2099,f1807,f5712]) ).
fof(f5712,plain,
( spl51_374
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK30(X2,X3)) = vg(sK30(X2,X3),X0,X1)
| ~ rcircle(X2)
| ~ rcircle(X3)
| ~ rintersect(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_374])]) ).
fof(f2137,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK30(X2,X3)) = vg(sK30(X2,X3),X0,X1)
| ~ rcircle(X2)
| ~ rcircle(X3)
| ~ rintersect(X2,X3) )
| ~ spl51_82
| ~ spl51_127 ),
inference(resolution,[],[f2100,f1808]) ).
fof(f5666,plain,
( spl51_373
| ~ spl51_62
| ~ spl51_135 ),
inference(avatar_split_clause,[],[f2231,f2219,f1708,f5664]) ).
fof(f5664,plain,
( spl51_373
<=> ! [X0,X3,X2,X1] :
( ~ rcircle(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ~ rpoint(X3)
| vd684 = vg(X3,X3,sK33(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_373])]) ).
fof(f2231,plain,
( ! [X2,X3,X0,X1] :
( ~ rcircle(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| ~ rpoint(X3)
| vd684 = vg(X3,X3,sK33(X0,X1,X2)) )
| ~ spl51_62
| ~ spl51_135 ),
inference(resolution,[],[f2220,f1709]) ).
fof(f5662,plain,
( spl51_372
| ~ spl51_37
| ~ spl51_135 ),
inference(avatar_split_clause,[],[f2230,f2219,f1581,f5660]) ).
fof(f5660,plain,
( spl51_372
<=> ! [X2,X0,X1] :
( ~ rcircle(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| vd684 = vf(sK33(X0,X1,X2),sK33(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_372])]) ).
fof(f2230,plain,
( ! [X2,X0,X1] :
( ~ rcircle(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(X1,X0)
| ~ ron(X2,X0)
| vd684 = vf(sK33(X0,X1,X2),sK33(X0,X1,X2)) )
| ~ spl51_37
| ~ spl51_135 ),
inference(resolution,[],[f2220,f1582]) ).
fof(f5656,plain,
( spl51_371
| ~ spl51_27
| ~ spl51_189 ),
inference(avatar_split_clause,[],[f2858,f2835,f1537,f5654]) ).
fof(f5654,plain,
( spl51_371
<=> ! [X0,X1] :
( rS(X0,sK13(X1),sK35(X0,sK13(X1)))
| ~ rcircle(X1)
| ~ rpoint(sK13(X1))
| rintersect(sK34(X1),X1)
| ~ rpoint(X0)
| ~ ron(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_371])]) ).
fof(f2858,plain,
( ! [X0,X1] :
( rS(X0,sK13(X1),sK35(X0,sK13(X1)))
| ~ rcircle(X1)
| ~ rpoint(sK13(X1))
| rintersect(sK34(X1),X1)
| ~ rpoint(X0)
| ~ ron(X0,X1) )
| ~ spl51_27
| ~ spl51_189 ),
inference(duplicate_literal_removal,[],[f2841]) ).
fof(f2841,plain,
( ! [X0,X1] :
( rS(X0,sK13(X1),sK35(X0,sK13(X1)))
| ~ rcircle(X1)
| ~ rpoint(sK13(X1))
| rintersect(sK34(X1),X1)
| ~ rpoint(X0)
| ~ ron(X0,X1)
| ~ rcircle(X1) )
| ~ spl51_27
| ~ spl51_189 ),
inference(resolution,[],[f2836,f1538]) ).
fof(f5652,plain,
( spl51_370
| ~ spl51_26
| ~ spl51_188 ),
inference(avatar_split_clause,[],[f2833,f2826,f1533,f5650]) ).
fof(f5650,plain,
( spl51_370
<=> ! [X0,X1] :
( rS(X0,sK12(X1),sK35(X0,sK12(X1)))
| ~ rcircle(X1)
| ~ rpoint(sK12(X1))
| rintersect(sK34(X1),X1)
| ~ rpoint(X0)
| ~ ron(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_370])]) ).
fof(f2826,plain,
( spl51_188
<=> ! [X6,X5,X7] :
( rintersect(sK34(X7),X7)
| rS(X5,X6,sK35(X5,X6))
| ~ rcircle(X7)
| ~ rpoint(X6)
| ~ rinside(X6,X7)
| ~ rpoint(X5)
| ~ ron(X5,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_188])]) ).
fof(f2833,plain,
( ! [X0,X1] :
( rS(X0,sK12(X1),sK35(X0,sK12(X1)))
| ~ rcircle(X1)
| ~ rpoint(sK12(X1))
| rintersect(sK34(X1),X1)
| ~ rpoint(X0)
| ~ ron(X0,X1) )
| ~ spl51_26
| ~ spl51_188 ),
inference(duplicate_literal_removal,[],[f2832]) ).
fof(f2832,plain,
( ! [X0,X1] :
( rS(X0,sK12(X1),sK35(X0,sK12(X1)))
| ~ rcircle(X1)
| ~ rpoint(sK12(X1))
| rintersect(sK34(X1),X1)
| ~ rpoint(X0)
| ~ ron(X0,X1)
| ~ rcircle(X1) )
| ~ spl51_26
| ~ spl51_188 ),
inference(resolution,[],[f2827,f1534]) ).
fof(f2827,plain,
( ! [X6,X7,X5] :
( ~ rinside(X6,X7)
| rS(X5,X6,sK35(X5,X6))
| ~ rcircle(X7)
| ~ rpoint(X6)
| rintersect(sK34(X7),X7)
| ~ rpoint(X5)
| ~ ron(X5,X7) )
| ~ spl51_188 ),
inference(avatar_component_clause,[],[f2826]) ).
fof(f5648,plain,
( spl51_369
| ~ spl51_26
| ~ spl51_187 ),
inference(avatar_split_clause,[],[f2824,f2817,f1533,f5646]) ).
fof(f5646,plain,
( spl51_369
<=> ! [X0,X1] :
( rS(sK12(X0),X1,sK35(sK12(X0),X1))
| ~ rcircle(X0)
| ~ rpoint(X1)
| ~ ron(X1,X0)
| ~ rpoint(sK12(X0))
| rintersect(sK34(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_369])]) ).
fof(f2817,plain,
( spl51_187
<=> ! [X6,X5,X7] :
( rintersect(sK34(X7),X7)
| rS(X5,X6,sK35(X5,X6))
| ~ rcircle(X7)
| ~ rpoint(X6)
| ~ ron(X6,X7)
| ~ rpoint(X5)
| ~ rinside(X5,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_187])]) ).
fof(f2824,plain,
( ! [X0,X1] :
( rS(sK12(X0),X1,sK35(sK12(X0),X1))
| ~ rcircle(X0)
| ~ rpoint(X1)
| ~ ron(X1,X0)
| ~ rpoint(sK12(X0))
| rintersect(sK34(X0),X0) )
| ~ spl51_26
| ~ spl51_187 ),
inference(duplicate_literal_removal,[],[f2823]) ).
fof(f2823,plain,
( ! [X0,X1] :
( rS(sK12(X0),X1,sK35(sK12(X0),X1))
| ~ rcircle(X0)
| ~ rpoint(X1)
| ~ ron(X1,X0)
| ~ rpoint(sK12(X0))
| rintersect(sK34(X0),X0)
| ~ rcircle(X0) )
| ~ spl51_26
| ~ spl51_187 ),
inference(resolution,[],[f2818,f1534]) ).
fof(f2818,plain,
( ! [X6,X7,X5] :
( ~ rinside(X5,X7)
| rS(X5,X6,sK35(X5,X6))
| ~ rcircle(X7)
| ~ rpoint(X6)
| ~ ron(X6,X7)
| ~ rpoint(X5)
| rintersect(sK34(X7),X7) )
| ~ spl51_187 ),
inference(avatar_component_clause,[],[f2817]) ).
fof(f5644,plain,
( spl51_368
| ~ spl51_26
| ~ spl51_185 ),
inference(avatar_split_clause,[],[f2815,f2708,f1533,f5642]) ).
fof(f5642,plain,
( spl51_368
<=> ! [X0,X1] :
( rS(X0,sK12(X1),sK35(X0,sK12(X1)))
| ~ rcircle(X1)
| ~ rpoint(sK12(X1))
| rintersect(sK34(X1),X1)
| ~ rpoint(X0)
| ~ rinside(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_368])]) ).
fof(f2708,plain,
( spl51_185
<=> ! [X6,X5,X7] :
( rintersect(sK34(X7),X7)
| rS(X5,X6,sK35(X5,X6))
| ~ rcircle(X7)
| ~ rpoint(X6)
| ~ rinside(X6,X7)
| ~ rpoint(X5)
| ~ rinside(X5,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_185])]) ).
fof(f2815,plain,
( ! [X0,X1] :
( rS(X0,sK12(X1),sK35(X0,sK12(X1)))
| ~ rcircle(X1)
| ~ rpoint(sK12(X1))
| rintersect(sK34(X1),X1)
| ~ rpoint(X0)
| ~ rinside(X0,X1) )
| ~ spl51_26
| ~ spl51_185 ),
inference(duplicate_literal_removal,[],[f2814]) ).
fof(f2814,plain,
( ! [X0,X1] :
( rS(X0,sK12(X1),sK35(X0,sK12(X1)))
| ~ rcircle(X1)
| ~ rpoint(sK12(X1))
| rintersect(sK34(X1),X1)
| ~ rpoint(X0)
| ~ rinside(X0,X1)
| ~ rcircle(X1) )
| ~ spl51_26
| ~ spl51_185 ),
inference(resolution,[],[f2709,f1534]) ).
fof(f2709,plain,
( ! [X6,X7,X5] :
( ~ rinside(X6,X7)
| rS(X5,X6,sK35(X5,X6))
| ~ rcircle(X7)
| ~ rpoint(X6)
| rintersect(sK34(X7),X7)
| ~ rpoint(X5)
| ~ rinside(X5,X7) )
| ~ spl51_185 ),
inference(avatar_component_clause,[],[f2708]) ).
fof(f5640,plain,
( spl51_367
| ~ spl51_66
| ~ spl51_71 ),
inference(avatar_split_clause,[],[f1859,f1762,f1742,f5638]) ).
fof(f5638,plain,
( spl51_367
<=> ! [X4,X0,X3,X2,X1] :
( ~ rpoint(X0)
| vf(X0,sK46(X1,X2,X3,X4)) = sK18(X0,sK46(X1,X2,X3,X4))
| ~ sP3(X1,X2,X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_367])]) ).
fof(f1859,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ rpoint(X0)
| vf(X0,sK46(X1,X2,X3,X4)) = sK18(X0,sK46(X1,X2,X3,X4))
| ~ sP3(X1,X2,X3,X4) )
| ~ spl51_66
| ~ spl51_71 ),
inference(resolution,[],[f1763,f1743]) ).
fof(f5636,plain,
( spl51_366
| ~ spl51_65
| ~ spl51_71 ),
inference(avatar_split_clause,[],[f1858,f1762,f1738,f5634]) ).
fof(f5634,plain,
( spl51_366
<=> ! [X4,X0,X3,X2,X1] :
( ~ rpoint(X0)
| vf(X0,sK36(X1,X2,X3,X4)) = sK18(X0,sK36(X1,X2,X3,X4))
| ~ sP2(X1,X2,X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_366])]) ).
fof(f1858,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ rpoint(X0)
| vf(X0,sK36(X1,X2,X3,X4)) = sK18(X0,sK36(X1,X2,X3,X4))
| ~ sP2(X1,X2,X3,X4) )
| ~ spl51_65
| ~ spl51_71 ),
inference(resolution,[],[f1763,f1739]) ).
fof(f5632,plain,
( spl51_365
| ~ spl51_66
| ~ spl51_70 ),
inference(avatar_split_clause,[],[f1843,f1758,f1742,f5630]) ).
fof(f5630,plain,
( spl51_365
<=> ! [X4,X0,X3,X2,X1] :
( ~ rpoint(X0)
| vf(sK46(X1,X2,X3,X4),X0) = vf(X0,sK46(X1,X2,X3,X4))
| ~ sP3(X1,X2,X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_365])]) ).
fof(f1843,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ rpoint(X0)
| vf(sK46(X1,X2,X3,X4),X0) = vf(X0,sK46(X1,X2,X3,X4))
| ~ sP3(X1,X2,X3,X4) )
| ~ spl51_66
| ~ spl51_70 ),
inference(resolution,[],[f1759,f1743]) ).
fof(f5628,plain,
( spl51_364
| ~ spl51_65
| ~ spl51_70 ),
inference(avatar_split_clause,[],[f1842,f1758,f1738,f5626]) ).
fof(f5626,plain,
( spl51_364
<=> ! [X4,X0,X3,X2,X1] :
( ~ rpoint(X0)
| vf(sK36(X1,X2,X3,X4),X0) = vf(X0,sK36(X1,X2,X3,X4))
| ~ sP2(X1,X2,X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_364])]) ).
fof(f1842,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ rpoint(X0)
| vf(sK36(X1,X2,X3,X4),X0) = vf(X0,sK36(X1,X2,X3,X4))
| ~ sP2(X1,X2,X3,X4) )
| ~ spl51_65
| ~ spl51_70 ),
inference(resolution,[],[f1759,f1739]) ).
fof(f5538,plain,
( spl51_363
| ~ spl51_6
| ~ spl51_301 ),
inference(avatar_split_clause,[],[f5352,f4651,f1443,f5535]) ).
fof(f5535,plain,
( spl51_363
<=> vd684 = vg(vd14,vd14,sK16(sK5,vskolem1061)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_363])]) ).
fof(f5352,plain,
( vd684 = vg(vd14,vd14,sK16(sK5,vskolem1061))
| ~ spl51_6
| ~ spl51_301 ),
inference(resolution,[],[f4652,f1445]) ).
fof(f5485,plain,
( spl51_362
| ~ spl51_26
| ~ spl51_153 ),
inference(avatar_split_clause,[],[f2430,f2391,f1533,f5483]) ).
fof(f5483,plain,
( spl51_362
<=> ! [X2,X0,X1] :
( rless(vf(X0,sK12(X1)),vf(X0,X2))
| ~ rpoint(sK12(X1))
| ~ rpoint(X2)
| ~ rcenter(X0,X1)
| ~ ron(X2,X1)
| ~ rcircle(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_362])]) ).
fof(f2430,plain,
( ! [X2,X0,X1] :
( rless(vf(X0,sK12(X1)),vf(X0,X2))
| ~ rpoint(sK12(X1))
| ~ rpoint(X2)
| ~ rcenter(X0,X1)
| ~ ron(X2,X1)
| ~ rcircle(X1) )
| ~ spl51_26
| ~ spl51_153 ),
inference(resolution,[],[f2392,f1534]) ).
fof(f5481,plain,
( spl51_361
| ~ spl51_49
| ~ spl51_129 ),
inference(avatar_split_clause,[],[f2182,f2107,f1644,f5479]) ).
fof(f5479,plain,
( spl51_361
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK17(X2,X3)) = sK20(X0,X1,sK17(X2,X3))
| ~ rpoint(X2)
| ~ rpoint(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_361])]) ).
fof(f1644,plain,
( spl51_49
<=> ! [X4,X3] :
( rpoint(sK17(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_49])]) ).
fof(f2182,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK17(X2,X3)) = sK20(X0,X1,sK17(X2,X3))
| ~ rpoint(X2)
| ~ rpoint(X3) )
| ~ spl51_49
| ~ spl51_129 ),
inference(resolution,[],[f2108,f1645]) ).
fof(f1645,plain,
( ! [X3,X4] :
( rpoint(sK17(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4) )
| ~ spl51_49 ),
inference(avatar_component_clause,[],[f1644]) ).
fof(f5477,plain,
( spl51_360
| ~ spl51_49
| ~ spl51_128 ),
inference(avatar_split_clause,[],[f2158,f2103,f1644,f5475]) ).
fof(f5475,plain,
( spl51_360
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK17(X2,X3)) = vg(X0,sK17(X2,X3),X1)
| ~ rpoint(X2)
| ~ rpoint(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_360])]) ).
fof(f2158,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK17(X2,X3)) = vg(X0,sK17(X2,X3),X1)
| ~ rpoint(X2)
| ~ rpoint(X3) )
| ~ spl51_49
| ~ spl51_128 ),
inference(resolution,[],[f2104,f1645]) ).
fof(f5473,plain,
( spl51_359
| ~ spl51_49
| ~ spl51_127 ),
inference(avatar_split_clause,[],[f2129,f2099,f1644,f5471]) ).
fof(f5471,plain,
( spl51_359
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK17(X2,X3)) = vg(sK17(X2,X3),X0,X1)
| ~ rpoint(X2)
| ~ rpoint(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_359])]) ).
fof(f2129,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK17(X2,X3)) = vg(sK17(X2,X3),X0,X1)
| ~ rpoint(X2)
| ~ rpoint(X3) )
| ~ spl51_49
| ~ spl51_127 ),
inference(resolution,[],[f2100,f1645]) ).
fof(f5469,plain,
( spl51_358
| ~ spl51_73
| ~ spl51_76 ),
inference(avatar_split_clause,[],[f1871,f1783,f1771,f5467]) ).
fof(f5467,plain,
( spl51_358
<=> ! [X0,X3,X2,X1] :
( ~ rreal(X0)
| vplus(X0,sK20(X1,X2,X3)) = sK23(X0,sK20(X1,X2,X3))
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_358])]) ).
fof(f1771,plain,
( spl51_73
<=> ! [X6,X4,X5] :
( rreal(sK20(X4,X5,X6))
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_73])]) ).
fof(f1783,plain,
( spl51_76
<=> ! [X1,X3] :
( vplus(X1,X3) = sK23(X1,X3)
| ~ rreal(X1)
| ~ rreal(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_76])]) ).
fof(f1871,plain,
( ! [X2,X3,X0,X1] :
( ~ rreal(X0)
| vplus(X0,sK20(X1,X2,X3)) = sK23(X0,sK20(X1,X2,X3))
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3) )
| ~ spl51_73
| ~ spl51_76 ),
inference(resolution,[],[f1784,f1772]) ).
fof(f1772,plain,
( ! [X6,X4,X5] :
( rreal(sK20(X4,X5,X6))
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6) )
| ~ spl51_73 ),
inference(avatar_component_clause,[],[f1771]) ).
fof(f1784,plain,
( ! [X3,X1] :
( ~ rreal(X3)
| ~ rreal(X1)
| vplus(X1,X3) = sK23(X1,X3) )
| ~ spl51_76 ),
inference(avatar_component_clause,[],[f1783]) ).
fof(f5465,plain,
( spl51_357
| ~ spl51_73
| ~ spl51_75 ),
inference(avatar_split_clause,[],[f1867,f1779,f1771,f5463]) ).
fof(f5463,plain,
( spl51_357
<=> ! [X0,X3,X2,X1] :
( ~ rreal(X0)
| vplus(X0,sK20(X1,X2,X3)) = vplus(sK20(X1,X2,X3),X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_357])]) ).
fof(f1779,plain,
( spl51_75
<=> ! [X1,X3] :
( vplus(X1,X3) = vplus(X3,X1)
| ~ rreal(X1)
| ~ rreal(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_75])]) ).
fof(f1867,plain,
( ! [X2,X3,X0,X1] :
( ~ rreal(X0)
| vplus(X0,sK20(X1,X2,X3)) = vplus(sK20(X1,X2,X3),X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3) )
| ~ spl51_73
| ~ spl51_75 ),
inference(resolution,[],[f1780,f1772]) ).
fof(f1780,plain,
( ! [X3,X1] :
( ~ rreal(X3)
| ~ rreal(X1)
| vplus(X1,X3) = vplus(X3,X1) )
| ~ spl51_75 ),
inference(avatar_component_clause,[],[f1779]) ).
fof(f5461,plain,
( spl51_356
| ~ spl51_70
| ~ spl51_72 ),
inference(avatar_split_clause,[],[f1861,f1766,f1758,f5459]) ).
fof(f5459,plain,
( spl51_356
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| vf(X3,sK19(X0,X1,X2)) = vf(sK19(X0,X1,X2),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_356])]) ).
fof(f1861,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| vf(X3,sK19(X0,X1,X2)) = vf(sK19(X0,X1,X2),X3) )
| ~ spl51_70
| ~ spl51_72 ),
inference(resolution,[],[f1767,f1759]) ).
fof(f5457,plain,
( spl51_355
| ~ spl51_8
| ~ spl51_301 ),
inference(avatar_split_clause,[],[f5351,f4651,f1453,f5454]) ).
fof(f5454,plain,
( spl51_355
<=> vd684 = vg(vd1056,vd1056,sK16(sK5,vskolem1061)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_355])]) ).
fof(f5351,plain,
( vd684 = vg(vd1056,vd1056,sK16(sK5,vskolem1061))
| ~ spl51_8
| ~ spl51_301 ),
inference(resolution,[],[f4652,f1455]) ).
fof(f5452,plain,
( spl51_354
| ~ spl51_71
| ~ spl51_72 ),
inference(avatar_split_clause,[],[f1860,f1766,f1762,f5450]) ).
fof(f5450,plain,
( spl51_354
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| vf(X3,sK19(X0,X1,X2)) = sK18(X3,sK19(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_354])]) ).
fof(f1860,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| vf(X3,sK19(X0,X1,X2)) = sK18(X3,sK19(X0,X1,X2)) )
| ~ spl51_71
| ~ spl51_72 ),
inference(resolution,[],[f1767,f1763]) ).
fof(f5439,plain,
( spl51_353
| ~ spl51_7
| ~ spl51_301 ),
inference(avatar_split_clause,[],[f5350,f4651,f1448,f5436]) ).
fof(f5436,plain,
( spl51_353
<=> vd684 = vg(vd1058,vd1058,sK16(sK5,vskolem1061)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_353])]) ).
fof(f5350,plain,
( vd684 = vg(vd1058,vd1058,sK16(sK5,vskolem1061))
| ~ spl51_7
| ~ spl51_301 ),
inference(resolution,[],[f4652,f1450]) ).
fof(f5345,plain,
( spl51_352
| ~ spl51_26
| ~ spl51_147 ),
inference(avatar_split_clause,[],[f2386,f2292,f1533,f5343]) ).
fof(f5343,plain,
( spl51_352
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK12(X1))
| ~ ron(X0,X1)
| rintersect(X1,X2)
| ~ rinside(X0,X2)
| ~ ron(sK12(X1),X2)
| ~ rcircle(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_352])]) ).
fof(f2292,plain,
( spl51_147
<=> ! [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,[spl51_147])]) ).
fof(f2386,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(sK12(X1))
| ~ ron(X0,X1)
| rintersect(X1,X2)
| ~ rinside(X0,X2)
| ~ ron(sK12(X1),X2)
| ~ rcircle(X1) )
| ~ spl51_26
| ~ spl51_147 ),
inference(resolution,[],[f2293,f1534]) ).
fof(f2293,plain,
( ! [X2,X3,X4,X5] :
( ~ rinside(X5,X2)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ ron(X4,X2)
| rintersect(X2,X3)
| ~ rinside(X4,X3)
| ~ ron(X5,X3) )
| ~ spl51_147 ),
inference(avatar_component_clause,[],[f2292]) ).
fof(f5341,plain,
( spl51_351
| ~ spl51_34
| ~ spl51_129 ),
inference(avatar_split_clause,[],[f2189,f2107,f1569,f5339]) ).
fof(f5339,plain,
( spl51_351
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK29(X2,X3)) = sK20(X0,X1,sK29(X2,X3))
| ~ sP1(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_351])]) ).
fof(f1569,plain,
( spl51_34
<=> ! [X0,X1] :
( rpoint(sK29(X0,X1))
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_34])]) ).
fof(f2189,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK29(X2,X3)) = sK20(X0,X1,sK29(X2,X3))
| ~ sP1(X2,X3) )
| ~ spl51_34
| ~ spl51_129 ),
inference(resolution,[],[f2108,f1570]) ).
fof(f1570,plain,
( ! [X0,X1] :
( rpoint(sK29(X0,X1))
| ~ sP1(X0,X1) )
| ~ spl51_34 ),
inference(avatar_component_clause,[],[f1569]) ).
fof(f5337,plain,
( spl51_350
| ~ spl51_35
| ~ spl51_129 ),
inference(avatar_split_clause,[],[f2188,f2107,f1573,f5335]) ).
fof(f5335,plain,
( spl51_350
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK28(X2,X3)) = sK20(X0,X1,sK28(X2,X3))
| ~ sP1(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_350])]) ).
fof(f1573,plain,
( spl51_35
<=> ! [X0,X1] :
( rpoint(sK28(X0,X1))
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_35])]) ).
fof(f2188,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK28(X2,X3)) = sK20(X0,X1,sK28(X2,X3))
| ~ sP1(X2,X3) )
| ~ spl51_35
| ~ spl51_129 ),
inference(resolution,[],[f2108,f1574]) ).
fof(f1574,plain,
( ! [X0,X1] :
( rpoint(sK28(X0,X1))
| ~ sP1(X0,X1) )
| ~ spl51_35 ),
inference(avatar_component_clause,[],[f1573]) ).
fof(f5333,plain,
( spl51_349
| ~ spl51_32
| ~ spl51_129 ),
inference(avatar_split_clause,[],[f2181,f2107,f1561,f5331]) ).
fof(f5331,plain,
( spl51_349
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK16(X2,X3)) = sK20(X0,X1,sK16(X2,X3))
| ~ sP0(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_349])]) ).
fof(f1561,plain,
( spl51_32
<=> ! [X0,X1] :
( rpoint(sK16(X0,X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_32])]) ).
fof(f2181,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK16(X2,X3)) = sK20(X0,X1,sK16(X2,X3))
| ~ sP0(X2,X3) )
| ~ spl51_32
| ~ spl51_129 ),
inference(resolution,[],[f2108,f1562]) ).
fof(f1562,plain,
( ! [X0,X1] :
( rpoint(sK16(X0,X1))
| ~ sP0(X0,X1) )
| ~ spl51_32 ),
inference(avatar_component_clause,[],[f1561]) ).
fof(f5329,plain,
( spl51_348
| ~ spl51_33
| ~ spl51_129 ),
inference(avatar_split_clause,[],[f2180,f2107,f1565,f5327]) ).
fof(f5327,plain,
( spl51_348
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK15(X2,X3)) = sK20(X0,X1,sK15(X2,X3))
| ~ sP0(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_348])]) ).
fof(f1565,plain,
( spl51_33
<=> ! [X0,X1] :
( rpoint(sK15(X0,X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_33])]) ).
fof(f2180,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK15(X2,X3)) = sK20(X0,X1,sK15(X2,X3))
| ~ sP0(X2,X3) )
| ~ spl51_33
| ~ spl51_129 ),
inference(resolution,[],[f2108,f1566]) ).
fof(f1566,plain,
( ! [X0,X1] :
( rpoint(sK15(X0,X1))
| ~ sP0(X0,X1) )
| ~ spl51_33 ),
inference(avatar_component_clause,[],[f1565]) ).
fof(f5325,plain,
( spl51_347
| ~ spl51_31
| ~ spl51_129 ),
inference(avatar_split_clause,[],[f2174,f2107,f1557,f5323]) ).
fof(f5323,plain,
( spl51_347
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK6(X2,X3)) = sK20(X0,X1,sK6(X2,X3))
| ~ rcenter(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_347])]) ).
fof(f1557,plain,
( spl51_31
<=> ! [X0,X1] :
( rpoint(sK6(X0,X1))
| ~ rcenter(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_31])]) ).
fof(f2174,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK6(X2,X3)) = sK20(X0,X1,sK6(X2,X3))
| ~ rcenter(X2,X3) )
| ~ spl51_31
| ~ spl51_129 ),
inference(resolution,[],[f2108,f1558]) ).
fof(f1558,plain,
( ! [X0,X1] :
( rpoint(sK6(X0,X1))
| ~ rcenter(X0,X1) )
| ~ spl51_31 ),
inference(avatar_component_clause,[],[f1557]) ).
fof(f5321,plain,
( spl51_346
| ~ spl51_34
| ~ spl51_128 ),
inference(avatar_split_clause,[],[f2165,f2103,f1569,f5319]) ).
fof(f5319,plain,
( spl51_346
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK29(X2,X3)) = vg(X0,sK29(X2,X3),X1)
| ~ sP1(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_346])]) ).
fof(f2165,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK29(X2,X3)) = vg(X0,sK29(X2,X3),X1)
| ~ sP1(X2,X3) )
| ~ spl51_34
| ~ spl51_128 ),
inference(resolution,[],[f2104,f1570]) ).
fof(f5317,plain,
( spl51_345
| ~ spl51_35
| ~ spl51_128 ),
inference(avatar_split_clause,[],[f2164,f2103,f1573,f5315]) ).
fof(f5315,plain,
( spl51_345
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK28(X2,X3)) = vg(X0,sK28(X2,X3),X1)
| ~ sP1(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_345])]) ).
fof(f2164,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK28(X2,X3)) = vg(X0,sK28(X2,X3),X1)
| ~ sP1(X2,X3) )
| ~ spl51_35
| ~ spl51_128 ),
inference(resolution,[],[f2104,f1574]) ).
fof(f5313,plain,
( spl51_344
| ~ spl51_32
| ~ spl51_128 ),
inference(avatar_split_clause,[],[f2157,f2103,f1561,f5311]) ).
fof(f5311,plain,
( spl51_344
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK16(X2,X3)) = vg(X0,sK16(X2,X3),X1)
| ~ sP0(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_344])]) ).
fof(f2157,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK16(X2,X3)) = vg(X0,sK16(X2,X3),X1)
| ~ sP0(X2,X3) )
| ~ spl51_32
| ~ spl51_128 ),
inference(resolution,[],[f2104,f1562]) ).
fof(f5309,plain,
( spl51_343
| ~ spl51_33
| ~ spl51_128 ),
inference(avatar_split_clause,[],[f2156,f2103,f1565,f5307]) ).
fof(f5307,plain,
( spl51_343
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK15(X2,X3)) = vg(X0,sK15(X2,X3),X1)
| ~ sP0(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_343])]) ).
fof(f2156,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK15(X2,X3)) = vg(X0,sK15(X2,X3),X1)
| ~ sP0(X2,X3) )
| ~ spl51_33
| ~ spl51_128 ),
inference(resolution,[],[f2104,f1566]) ).
fof(f5305,plain,
( spl51_342
| ~ spl51_31
| ~ spl51_128 ),
inference(avatar_split_clause,[],[f2150,f2103,f1557,f5303]) ).
fof(f5303,plain,
( spl51_342
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK6(X2,X3)) = vg(X0,sK6(X2,X3),X1)
| ~ rcenter(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_342])]) ).
fof(f2150,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK6(X2,X3)) = vg(X0,sK6(X2,X3),X1)
| ~ rcenter(X2,X3) )
| ~ spl51_31
| ~ spl51_128 ),
inference(resolution,[],[f2104,f1558]) ).
fof(f5301,plain,
( spl51_341
| ~ spl51_34
| ~ spl51_127 ),
inference(avatar_split_clause,[],[f2136,f2099,f1569,f5299]) ).
fof(f5299,plain,
( spl51_341
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK29(X2,X3)) = vg(sK29(X2,X3),X0,X1)
| ~ sP1(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_341])]) ).
fof(f2136,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK29(X2,X3)) = vg(sK29(X2,X3),X0,X1)
| ~ sP1(X2,X3) )
| ~ spl51_34
| ~ spl51_127 ),
inference(resolution,[],[f2100,f1570]) ).
fof(f5297,plain,
( spl51_340
| ~ spl51_35
| ~ spl51_127 ),
inference(avatar_split_clause,[],[f2135,f2099,f1573,f5295]) ).
fof(f5295,plain,
( spl51_340
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK28(X2,X3)) = vg(sK28(X2,X3),X0,X1)
| ~ sP1(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_340])]) ).
fof(f2135,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK28(X2,X3)) = vg(sK28(X2,X3),X0,X1)
| ~ sP1(X2,X3) )
| ~ spl51_35
| ~ spl51_127 ),
inference(resolution,[],[f2100,f1574]) ).
fof(f5293,plain,
( spl51_339
| ~ spl51_32
| ~ spl51_127 ),
inference(avatar_split_clause,[],[f2128,f2099,f1561,f5291]) ).
fof(f5291,plain,
( spl51_339
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK16(X2,X3)) = vg(sK16(X2,X3),X0,X1)
| ~ sP0(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_339])]) ).
fof(f2128,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK16(X2,X3)) = vg(sK16(X2,X3),X0,X1)
| ~ sP0(X2,X3) )
| ~ spl51_32
| ~ spl51_127 ),
inference(resolution,[],[f2100,f1562]) ).
fof(f5289,plain,
( spl51_338
| ~ spl51_33
| ~ spl51_127 ),
inference(avatar_split_clause,[],[f2127,f2099,f1565,f5287]) ).
fof(f5287,plain,
( spl51_338
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK15(X2,X3)) = vg(sK15(X2,X3),X0,X1)
| ~ sP0(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_338])]) ).
fof(f2127,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK15(X2,X3)) = vg(sK15(X2,X3),X0,X1)
| ~ sP0(X2,X3) )
| ~ spl51_33
| ~ spl51_127 ),
inference(resolution,[],[f2100,f1566]) ).
fof(f5285,plain,
( spl51_337
| ~ spl51_31
| ~ spl51_127 ),
inference(avatar_split_clause,[],[f2121,f2099,f1557,f5283]) ).
fof(f5283,plain,
( spl51_337
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK6(X2,X3)) = vg(sK6(X2,X3),X0,X1)
| ~ rcenter(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_337])]) ).
fof(f2121,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK6(X2,X3)) = vg(sK6(X2,X3),X0,X1)
| ~ rcenter(X2,X3) )
| ~ spl51_31
| ~ spl51_127 ),
inference(resolution,[],[f2100,f1558]) ).
fof(f5281,plain,
( spl51_336
| ~ spl51_70
| ~ spl51_85 ),
inference(avatar_split_clause,[],[f1905,f1820,f1758,f5279]) ).
fof(f1905,plain,
( ! [X2,X0,X1] :
( ~ rcircle(X0)
| ~ rpoint(X1)
| ~ ron(X1,X0)
| ~ rpoint(X2)
| vf(X2,sK32(X0,X1)) = vf(sK32(X0,X1),X2) )
| ~ spl51_70
| ~ spl51_85 ),
inference(resolution,[],[f1821,f1759]) ).
fof(f5277,plain,
( spl51_335
| ~ spl51_71
| ~ spl51_85 ),
inference(avatar_split_clause,[],[f1904,f1820,f1762,f5275]) ).
fof(f1904,plain,
( ! [X2,X0,X1] :
( ~ rcircle(X0)
| ~ rpoint(X1)
| ~ ron(X1,X0)
| ~ rpoint(X2)
| vf(X2,sK32(X0,X1)) = sK18(X2,sK32(X0,X1)) )
| ~ spl51_71
| ~ spl51_85 ),
inference(resolution,[],[f1821,f1763]) ).
fof(f5273,plain,
( spl51_334
| ~ spl51_70
| ~ spl51_82 ),
inference(avatar_split_clause,[],[f1893,f1807,f1758,f5271]) ).
fof(f5271,plain,
( spl51_334
<=> ! [X2,X0,X1] :
( ~ rcircle(X0)
| ~ rcircle(X1)
| ~ rintersect(X0,X1)
| ~ rpoint(X2)
| vf(X2,sK30(X0,X1)) = vf(sK30(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_334])]) ).
fof(f1893,plain,
( ! [X2,X0,X1] :
( ~ rcircle(X0)
| ~ rcircle(X1)
| ~ rintersect(X0,X1)
| ~ rpoint(X2)
| vf(X2,sK30(X0,X1)) = vf(sK30(X0,X1),X2) )
| ~ spl51_70
| ~ spl51_82 ),
inference(resolution,[],[f1808,f1759]) ).
fof(f5269,plain,
( spl51_333
| ~ spl51_71
| ~ spl51_82 ),
inference(avatar_split_clause,[],[f1892,f1807,f1762,f5267]) ).
fof(f5267,plain,
( spl51_333
<=> ! [X2,X0,X1] :
( ~ rcircle(X0)
| ~ rcircle(X1)
| ~ rintersect(X0,X1)
| ~ rpoint(X2)
| vf(X2,sK30(X0,X1)) = sK18(X2,sK30(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_333])]) ).
fof(f1892,plain,
( ! [X2,X0,X1] :
( ~ rcircle(X0)
| ~ rcircle(X1)
| ~ rintersect(X0,X1)
| ~ rpoint(X2)
| vf(X2,sK30(X0,X1)) = sK18(X2,sK30(X0,X1)) )
| ~ spl51_71
| ~ spl51_82 ),
inference(resolution,[],[f1808,f1763]) ).
fof(f5262,plain,
( spl51_331
| ~ spl51_8
| ~ spl51_9
| spl51_332
| ~ spl51_13
| ~ spl51_189 ),
inference(avatar_split_clause,[],[f2840,f2835,f1478,f5260,f1458,f1453,f5256]) ).
fof(f5256,plain,
( spl51_331
<=> rintersect(sK34(vd1063),vd1063) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_331])]) ).
fof(f5260,plain,
( spl51_332
<=> ! [X0] :
( rS(X0,vd1056,sK35(X0,vd1056))
| ~ ron(X0,vd1063)
| ~ rpoint(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_332])]) ).
fof(f2840,plain,
( ! [X0] :
( rS(X0,vd1056,sK35(X0,vd1056))
| ~ rcircle(vd1063)
| ~ rpoint(vd1056)
| rintersect(sK34(vd1063),vd1063)
| ~ rpoint(X0)
| ~ ron(X0,vd1063) )
| ~ spl51_13
| ~ spl51_189 ),
inference(resolution,[],[f2836,f1480]) ).
fof(f5251,plain,
( spl51_329
| ~ spl51_7
| ~ spl51_10
| spl51_330
| ~ spl51_15
| ~ spl51_189 ),
inference(avatar_split_clause,[],[f2838,f2835,f1488,f5249,f1463,f1448,f5245]) ).
fof(f5245,plain,
( spl51_329
<=> rintersect(sK34(vskolem1061),vskolem1061) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_329])]) ).
fof(f5249,plain,
( spl51_330
<=> ! [X0] :
( rS(X0,vd1058,sK35(X0,vd1058))
| ~ ron(X0,vskolem1061)
| ~ rpoint(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_330])]) ).
fof(f1488,plain,
( spl51_15
<=> ron(vd1058,vskolem1061) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_15])]) ).
fof(f2838,plain,
( ! [X0] :
( rS(X0,vd1058,sK35(X0,vd1058))
| ~ rcircle(vskolem1061)
| ~ rpoint(vd1058)
| rintersect(sK34(vskolem1061),vskolem1061)
| ~ rpoint(X0)
| ~ ron(X0,vskolem1061) )
| ~ spl51_15
| ~ spl51_189 ),
inference(resolution,[],[f2836,f1490]) ).
fof(f1490,plain,
( ron(vd1058,vskolem1061)
| ~ spl51_15 ),
inference(avatar_component_clause,[],[f1488]) ).
fof(f5237,plain,
( spl51_328
| ~ spl51_116
| ~ spl51_130 ),
inference(avatar_split_clause,[],[f2198,f2111,f2035,f5235]) ).
fof(f5235,plain,
( spl51_328
<=> ! [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,[spl51_328])]) ).
fof(f2198,plain,
( ! [X2,X0,X1] :
( ~ rreal(X0)
| ~ rreal(X1)
| ~ rreal(X2)
| ~ rless(X0,X1)
| rless(X0,X2)
| rless(X2,X1)
| X1 = X2 )
| ~ spl51_116
| ~ spl51_130 ),
inference(duplicate_literal_removal,[],[f2195]) ).
fof(f2195,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) )
| ~ spl51_116
| ~ spl51_130 ),
inference(resolution,[],[f2112,f2036]) ).
fof(f5233,plain,
( spl51_327
| ~ spl51_37
| ~ spl51_66 ),
inference(avatar_split_clause,[],[f1826,f1742,f1581,f5231]) ).
fof(f5231,plain,
( spl51_327
<=> ! [X0,X3,X2,X1] :
( ~ sP3(X0,X1,X2,X3)
| vd684 = vf(sK46(X0,X1,X2,X3),sK46(X0,X1,X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_327])]) ).
fof(f1826,plain,
( ! [X2,X3,X0,X1] :
( ~ sP3(X0,X1,X2,X3)
| vd684 = vf(sK46(X0,X1,X2,X3),sK46(X0,X1,X2,X3)) )
| ~ spl51_37
| ~ spl51_66 ),
inference(resolution,[],[f1743,f1582]) ).
fof(f5229,plain,
( spl51_326
| ~ spl51_37
| ~ spl51_65 ),
inference(avatar_split_clause,[],[f1824,f1738,f1581,f5227]) ).
fof(f5227,plain,
( spl51_326
<=> ! [X0,X3,X2,X1] :
( ~ sP2(X0,X1,X2,X3)
| vd684 = vf(sK36(X0,X1,X2,X3),sK36(X0,X1,X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_326])]) ).
fof(f1824,plain,
( ! [X2,X3,X0,X1] :
( ~ sP2(X0,X1,X2,X3)
| vd684 = vf(sK36(X0,X1,X2,X3),sK36(X0,X1,X2,X3)) )
| ~ spl51_37
| ~ spl51_65 ),
inference(resolution,[],[f1739,f1582]) ).
fof(f5057,plain,
( spl51_325
| ~ spl51_6
| ~ spl51_293 ),
inference(avatar_split_clause,[],[f4696,f4595,f1443,f5054]) ).
fof(f5054,plain,
( spl51_325
<=> vd684 = vg(vd14,vd14,sK15(sK5,vskolem1061)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_325])]) ).
fof(f4696,plain,
( vd684 = vg(vd14,vd14,sK15(sK5,vskolem1061))
| ~ spl51_6
| ~ spl51_293 ),
inference(resolution,[],[f4596,f1445]) ).
fof(f4888,plain,
( spl51_324
| ~ spl51_8
| ~ spl51_293 ),
inference(avatar_split_clause,[],[f4695,f4595,f1453,f4885]) ).
fof(f4885,plain,
( spl51_324
<=> vd684 = vg(vd1056,vd1056,sK15(sK5,vskolem1061)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_324])]) ).
fof(f4695,plain,
( vd684 = vg(vd1056,vd1056,sK15(sK5,vskolem1061))
| ~ spl51_8
| ~ spl51_293 ),
inference(resolution,[],[f4596,f1455]) ).
fof(f4764,plain,
( spl51_323
| ~ spl51_193 ),
inference(avatar_split_clause,[],[f2887,f2873,f4762]) ).
fof(f2873,plain,
( spl51_193
<=> ! [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,[spl51_193])]) ).
fof(f2887,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rcenter(X1,X2)
| ~ rcenter(X1,X3)
| ~ ron(X0,X2)
| ~ ron(X0,X3)
| X2 = X3 )
| ~ spl51_193 ),
inference(duplicate_literal_removal,[],[f2886]) ).
fof(f2886,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X0)
| ~ rcenter(X1,X2)
| ~ rcenter(X1,X3)
| ~ ron(X0,X2)
| ~ ron(X0,X3)
| X2 = X3 )
| ~ spl51_193 ),
inference(equality_resolution,[],[f2874]) ).
fof(f2874,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 )
| ~ spl51_193 ),
inference(avatar_component_clause,[],[f2873]) ).
fof(f4760,plain,
( spl51_322
| ~ spl51_7
| ~ spl51_293 ),
inference(avatar_split_clause,[],[f4694,f4595,f1448,f4757]) ).
fof(f4757,plain,
( spl51_322
<=> vd684 = vg(vd1058,vd1058,sK15(sK5,vskolem1061)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_322])]) ).
fof(f4694,plain,
( vd684 = vg(vd1058,vd1058,sK15(sK5,vskolem1061))
| ~ spl51_7
| ~ spl51_293 ),
inference(resolution,[],[f4596,f1450]) ).
fof(f4755,plain,
( spl51_321
| ~ spl51_14
| ~ spl51_161 ),
inference(avatar_split_clause,[],[f2449,f2423,f1483,f4753]) ).
fof(f4753,plain,
( spl51_321
<=> ! [X0,X1] :
( ~ ron(X0,vskolem1061)
| ~ rpoint(X0)
| vf(vd1056,X0) = vf(vd1056,X1)
| ~ rpoint(X1)
| ~ ron(X1,vskolem1061) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_321])]) ).
fof(f1483,plain,
( spl51_14
<=> rcenter(vd1056,vskolem1061) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_14])]) ).
fof(f2423,plain,
( spl51_161
<=> ! [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,[spl51_161])]) ).
fof(f2449,plain,
( ! [X0,X1] :
( ~ ron(X0,vskolem1061)
| ~ rpoint(X0)
| vf(vd1056,X0) = vf(vd1056,X1)
| ~ rpoint(X1)
| ~ ron(X1,vskolem1061) )
| ~ spl51_14
| ~ spl51_161 ),
inference(resolution,[],[f2424,f1485]) ).
fof(f1485,plain,
( rcenter(vd1056,vskolem1061)
| ~ spl51_14 ),
inference(avatar_component_clause,[],[f1483]) ).
fof(f2424,plain,
( ! [X2,X3,X1,X5] :
( ~ rcenter(X2,X3)
| ~ ron(X1,X3)
| ~ rpoint(X1)
| vf(X2,X1) = vf(X2,X5)
| ~ rpoint(X5)
| ~ ron(X5,X3) )
| ~ spl51_161 ),
inference(avatar_component_clause,[],[f2423]) ).
fof(f4751,plain,
( spl51_320
| ~ spl51_12
| ~ spl51_161 ),
inference(avatar_split_clause,[],[f2448,f2423,f1473,f4749]) ).
fof(f4749,plain,
( spl51_320
<=> ! [X0,X1] :
( ~ ron(X0,vd1063)
| ~ rpoint(X0)
| vf(vd1058,X0) = vf(vd1058,X1)
| ~ rpoint(X1)
| ~ ron(X1,vd1063) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_320])]) ).
fof(f2448,plain,
( ! [X0,X1] :
( ~ ron(X0,vd1063)
| ~ rpoint(X0)
| vf(vd1058,X0) = vf(vd1058,X1)
| ~ rpoint(X1)
| ~ ron(X1,vd1063) )
| ~ spl51_12
| ~ spl51_161 ),
inference(resolution,[],[f2424,f1475]) ).
fof(f4747,plain,
( spl51_319
| ~ spl51_21
| ~ spl51_129 ),
inference(avatar_split_clause,[],[f2179,f2107,f1513,f4745]) ).
fof(f4745,plain,
( spl51_319
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK14(X2)) = sK20(X0,X1,sK14(X2))
| ~ rpoint(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_319])]) ).
fof(f2179,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK14(X2)) = sK20(X0,X1,sK14(X2))
| ~ rpoint(X2) )
| ~ spl51_21
| ~ spl51_129 ),
inference(resolution,[],[f2108,f1514]) ).
fof(f4743,plain,
( spl51_318
| ~ spl51_20
| ~ spl51_129 ),
inference(avatar_split_clause,[],[f2178,f2107,f1509,f4741]) ).
fof(f4741,plain,
( spl51_318
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK13(X2)) = sK20(X0,X1,sK13(X2))
| ~ rcircle(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_318])]) ).
fof(f2178,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK13(X2)) = sK20(X0,X1,sK13(X2))
| ~ rcircle(X2) )
| ~ spl51_20
| ~ spl51_129 ),
inference(resolution,[],[f2108,f1510]) ).
fof(f4739,plain,
( spl51_317
| ~ spl51_19
| ~ spl51_129 ),
inference(avatar_split_clause,[],[f2177,f2107,f1505,f4737]) ).
fof(f4737,plain,
( spl51_317
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK12(X2)) = sK20(X0,X1,sK12(X2))
| ~ rcircle(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_317])]) ).
fof(f2177,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK12(X2)) = sK20(X0,X1,sK12(X2))
| ~ rcircle(X2) )
| ~ spl51_19
| ~ spl51_129 ),
inference(resolution,[],[f2108,f1506]) ).
fof(f4735,plain,
( spl51_316
| ~ spl51_18
| ~ spl51_129 ),
inference(avatar_split_clause,[],[f2176,f2107,f1501,f4733]) ).
fof(f4733,plain,
( spl51_316
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK11(X2)) = sK20(X0,X1,sK11(X2))
| ~ rcircle(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_316])]) ).
fof(f2176,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK11(X2)) = sK20(X0,X1,sK11(X2))
| ~ rcircle(X2) )
| ~ spl51_18
| ~ spl51_129 ),
inference(resolution,[],[f2108,f1502]) ).
fof(f4731,plain,
( spl51_315
| ~ spl51_21
| ~ spl51_128 ),
inference(avatar_split_clause,[],[f2155,f2103,f1513,f4729]) ).
fof(f4729,plain,
( spl51_315
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK14(X2)) = vg(X0,sK14(X2),X1)
| ~ rpoint(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_315])]) ).
fof(f2155,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK14(X2)) = vg(X0,sK14(X2),X1)
| ~ rpoint(X2) )
| ~ spl51_21
| ~ spl51_128 ),
inference(resolution,[],[f2104,f1514]) ).
fof(f4727,plain,
( spl51_314
| ~ spl51_20
| ~ spl51_128 ),
inference(avatar_split_clause,[],[f2154,f2103,f1509,f4725]) ).
fof(f4725,plain,
( spl51_314
<=> ! [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,[spl51_314])]) ).
fof(f2154,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK13(X2)) = vg(X0,sK13(X2),X1)
| ~ rcircle(X2) )
| ~ spl51_20
| ~ spl51_128 ),
inference(resolution,[],[f2104,f1510]) ).
fof(f4723,plain,
( spl51_313
| ~ spl51_19
| ~ spl51_128 ),
inference(avatar_split_clause,[],[f2153,f2103,f1505,f4721]) ).
fof(f4721,plain,
( spl51_313
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK12(X2)) = vg(X0,sK12(X2),X1)
| ~ rcircle(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_313])]) ).
fof(f2153,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK12(X2)) = vg(X0,sK12(X2),X1)
| ~ rcircle(X2) )
| ~ spl51_19
| ~ spl51_128 ),
inference(resolution,[],[f2104,f1506]) ).
fof(f4719,plain,
( spl51_312
| ~ spl51_18
| ~ spl51_128 ),
inference(avatar_split_clause,[],[f2152,f2103,f1501,f4717]) ).
fof(f4717,plain,
( spl51_312
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK11(X2)) = vg(X0,sK11(X2),X1)
| ~ rcircle(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_312])]) ).
fof(f2152,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK11(X2)) = vg(X0,sK11(X2),X1)
| ~ rcircle(X2) )
| ~ spl51_18
| ~ spl51_128 ),
inference(resolution,[],[f2104,f1502]) ).
fof(f4693,plain,
( spl51_311
| ~ spl51_21
| ~ spl51_127 ),
inference(avatar_split_clause,[],[f2126,f2099,f1513,f4691]) ).
fof(f4691,plain,
( spl51_311
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK14(X2)) = vg(sK14(X2),X0,X1)
| ~ rpoint(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_311])]) ).
fof(f2126,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK14(X2)) = vg(sK14(X2),X0,X1)
| ~ rpoint(X2) )
| ~ spl51_21
| ~ spl51_127 ),
inference(resolution,[],[f2100,f1514]) ).
fof(f4689,plain,
( spl51_310
| ~ spl51_20
| ~ spl51_127 ),
inference(avatar_split_clause,[],[f2125,f2099,f1509,f4687]) ).
fof(f4687,plain,
( spl51_310
<=> ! [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,[spl51_310])]) ).
fof(f2125,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK13(X2)) = vg(sK13(X2),X0,X1)
| ~ rcircle(X2) )
| ~ spl51_20
| ~ spl51_127 ),
inference(resolution,[],[f2100,f1510]) ).
fof(f4685,plain,
( spl51_309
| ~ spl51_19
| ~ spl51_127 ),
inference(avatar_split_clause,[],[f2124,f2099,f1505,f4683]) ).
fof(f4683,plain,
( spl51_309
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK12(X2)) = vg(sK12(X2),X0,X1)
| ~ rcircle(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_309])]) ).
fof(f2124,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK12(X2)) = vg(sK12(X2),X0,X1)
| ~ rcircle(X2) )
| ~ spl51_19
| ~ spl51_127 ),
inference(resolution,[],[f2100,f1506]) ).
fof(f4681,plain,
( spl51_308
| ~ spl51_18
| ~ spl51_127 ),
inference(avatar_split_clause,[],[f2123,f2099,f1501,f4679]) ).
fof(f4679,plain,
( spl51_308
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK11(X2)) = vg(sK11(X2),X0,X1)
| ~ rcircle(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_308])]) ).
fof(f2123,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,sK11(X2)) = vg(sK11(X2),X0,X1)
| ~ rcircle(X2) )
| ~ spl51_18
| ~ spl51_127 ),
inference(resolution,[],[f2100,f1502]) ).
fof(f4677,plain,
( spl51_307
| ~ spl51_62
| ~ spl51_85 ),
inference(avatar_split_clause,[],[f1906,f1820,f1708,f4675]) ).
fof(f1906,plain,
( ! [X2,X0,X1] :
( ~ rcircle(X0)
| ~ rpoint(X1)
| ~ ron(X1,X0)
| ~ rpoint(X2)
| vd684 = vg(X2,X2,sK32(X0,X1)) )
| ~ spl51_62
| ~ spl51_85 ),
inference(resolution,[],[f1821,f1709]) ).
fof(f4673,plain,
( spl51_306
| ~ spl51_62
| ~ spl51_82 ),
inference(avatar_split_clause,[],[f1894,f1807,f1708,f4671]) ).
fof(f4671,plain,
( spl51_306
<=> ! [X2,X0,X1] :
( ~ rcircle(X0)
| ~ rcircle(X1)
| ~ rintersect(X0,X1)
| ~ rpoint(X2)
| vd684 = vg(X2,X2,sK30(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_306])]) ).
fof(f1894,plain,
( ! [X2,X0,X1] :
( ~ rcircle(X0)
| ~ rcircle(X1)
| ~ rintersect(X0,X1)
| ~ rpoint(X2)
| vd684 = vg(X2,X2,sK30(X0,X1)) )
| ~ spl51_62
| ~ spl51_82 ),
inference(resolution,[],[f1808,f1709]) ).
fof(f4669,plain,
( spl51_305
| ~ spl51_51
| ~ spl51_76 ),
inference(avatar_split_clause,[],[f1872,f1783,f1652,f4667]) ).
fof(f4667,plain,
( spl51_305
<=> ! [X2,X0,X1] :
( ~ rreal(X0)
| vplus(X0,sK23(X1,X2)) = sK23(X0,sK23(X1,X2))
| ~ rreal(X1)
| ~ rreal(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_305])]) ).
fof(f1652,plain,
( spl51_51
<=> ! [X1,X3] :
( rreal(sK23(X1,X3))
| ~ rreal(X1)
| ~ rreal(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_51])]) ).
fof(f1872,plain,
( ! [X2,X0,X1] :
( ~ rreal(X0)
| vplus(X0,sK23(X1,X2)) = sK23(X0,sK23(X1,X2))
| ~ rreal(X1)
| ~ rreal(X2) )
| ~ spl51_51
| ~ spl51_76 ),
inference(resolution,[],[f1784,f1653]) ).
fof(f1653,plain,
( ! [X3,X1] :
( rreal(sK23(X1,X3))
| ~ rreal(X1)
| ~ rreal(X3) )
| ~ spl51_51 ),
inference(avatar_component_clause,[],[f1652]) ).
fof(f4665,plain,
( spl51_304
| ~ spl51_50
| ~ spl51_76 ),
inference(avatar_split_clause,[],[f1870,f1783,f1648,f4663]) ).
fof(f4663,plain,
( spl51_304
<=> ! [X2,X0,X1] :
( ~ rreal(X0)
| vplus(X0,sK18(X1,X2)) = sK23(X0,sK18(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_304])]) ).
fof(f1648,plain,
( spl51_50
<=> ! [X4,X3] :
( rreal(sK18(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_50])]) ).
fof(f1870,plain,
( ! [X2,X0,X1] :
( ~ rreal(X0)
| vplus(X0,sK18(X1,X2)) = sK23(X0,sK18(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) )
| ~ spl51_50
| ~ spl51_76 ),
inference(resolution,[],[f1784,f1649]) ).
fof(f1649,plain,
( ! [X3,X4] :
( rreal(sK18(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4) )
| ~ spl51_50 ),
inference(avatar_component_clause,[],[f1648]) ).
fof(f4661,plain,
( spl51_303
| ~ spl51_51
| ~ spl51_75 ),
inference(avatar_split_clause,[],[f1868,f1779,f1652,f4659]) ).
fof(f4659,plain,
( spl51_303
<=> ! [X2,X0,X1] :
( ~ rreal(X0)
| vplus(X0,sK23(X1,X2)) = vplus(sK23(X1,X2),X0)
| ~ rreal(X1)
| ~ rreal(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_303])]) ).
fof(f1868,plain,
( ! [X2,X0,X1] :
( ~ rreal(X0)
| vplus(X0,sK23(X1,X2)) = vplus(sK23(X1,X2),X0)
| ~ rreal(X1)
| ~ rreal(X2) )
| ~ spl51_51
| ~ spl51_75 ),
inference(resolution,[],[f1780,f1653]) ).
fof(f4657,plain,
( spl51_302
| ~ spl51_50
| ~ spl51_75 ),
inference(avatar_split_clause,[],[f1866,f1779,f1648,f4655]) ).
fof(f4655,plain,
( spl51_302
<=> ! [X2,X0,X1] :
( ~ rreal(X0)
| vplus(X0,sK18(X1,X2)) = vplus(sK18(X1,X2),X0)
| ~ rpoint(X1)
| ~ rpoint(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_302])]) ).
fof(f1866,plain,
( ! [X2,X0,X1] :
( ~ rreal(X0)
| vplus(X0,sK18(X1,X2)) = vplus(sK18(X1,X2),X0)
| ~ rpoint(X1)
| ~ rpoint(X2) )
| ~ spl51_50
| ~ spl51_75 ),
inference(resolution,[],[f1780,f1649]) ).
fof(f4653,plain,
( spl51_301
| ~ spl51_192
| ~ spl51_258 ),
inference(avatar_split_clause,[],[f4107,f3961,f2868,f4651]) ).
fof(f2868,plain,
( spl51_192
<=> sP0(sK5,vskolem1061) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_192])]) ).
fof(f3961,plain,
( spl51_258
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK16(X1,X2))
| ~ sP0(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_258])]) ).
fof(f4107,plain,
( ! [X0] :
( vd684 = vg(X0,X0,sK16(sK5,vskolem1061))
| ~ rpoint(X0) )
| ~ spl51_192
| ~ spl51_258 ),
inference(resolution,[],[f3962,f2870]) ).
fof(f2870,plain,
( sP0(sK5,vskolem1061)
| ~ spl51_192 ),
inference(avatar_component_clause,[],[f2868]) ).
fof(f3962,plain,
( ! [X2,X0,X1] :
( ~ sP0(X1,X2)
| vd684 = vg(X0,X0,sK16(X1,X2))
| ~ rpoint(X0) )
| ~ spl51_258 ),
inference(avatar_component_clause,[],[f3961]) ).
fof(f4649,plain,
( spl51_300
| ~ spl51_36
| ~ spl51_73 ),
inference(avatar_split_clause,[],[f1864,f1771,f1577,f4647]) ).
fof(f4647,plain,
( spl51_300
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| sK20(X0,X1,X2) = vplus(sK20(X0,X1,X2),vd684) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_300])]) ).
fof(f1577,plain,
( spl51_36
<=> ! [X1] :
( vplus(X1,vd684) = X1
| ~ rreal(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_36])]) ).
fof(f1864,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| sK20(X0,X1,X2) = vplus(sK20(X0,X1,X2),vd684) )
| ~ spl51_36
| ~ spl51_73 ),
inference(resolution,[],[f1772,f1578]) ).
fof(f1578,plain,
( ! [X1] :
( ~ rreal(X1)
| vplus(X1,vd684) = X1 )
| ~ spl51_36 ),
inference(avatar_component_clause,[],[f1577]) ).
fof(f4645,plain,
( spl51_299
| ~ spl51_37
| ~ spl51_72 ),
inference(avatar_split_clause,[],[f1863,f1766,f1581,f4643]) ).
fof(f4643,plain,
( spl51_299
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| vd684 = vf(sK19(X0,X1,X2),sK19(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_299])]) ).
fof(f1863,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| vd684 = vf(sK19(X0,X1,X2),sK19(X0,X1,X2)) )
| ~ spl51_37
| ~ spl51_72 ),
inference(resolution,[],[f1767,f1582]) ).
fof(f4641,plain,
( spl51_298
| ~ spl51_62
| ~ spl51_72 ),
inference(avatar_split_clause,[],[f1862,f1766,f1708,f4639]) ).
fof(f4639,plain,
( spl51_298
<=> ! [X0,X3,X2,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| vd684 = vg(X3,X3,sK19(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_298])]) ).
fof(f1862,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| vd684 = vg(X3,X3,sK19(X0,X1,X2)) )
| ~ spl51_62
| ~ spl51_72 ),
inference(resolution,[],[f1767,f1709]) ).
fof(f4637,plain,
( spl51_297
| ~ spl51_49
| ~ spl51_71 ),
inference(avatar_split_clause,[],[f1855,f1762,f1644,f4635]) ).
fof(f4635,plain,
( spl51_297
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK17(X1,X2)) = sK18(X0,sK17(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_297])]) ).
fof(f1855,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK17(X1,X2)) = sK18(X0,sK17(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) )
| ~ spl51_49
| ~ spl51_71 ),
inference(resolution,[],[f1763,f1645]) ).
fof(f4633,plain,
( spl51_296
| ~ spl51_49
| ~ spl51_70 ),
inference(avatar_split_clause,[],[f1839,f1758,f1644,f4631]) ).
fof(f4631,plain,
( spl51_296
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(sK17(X1,X2),X0) = vf(X0,sK17(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_296])]) ).
fof(f1839,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(sK17(X1,X2),X0) = vf(X0,sK17(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) )
| ~ spl51_49
| ~ spl51_70 ),
inference(resolution,[],[f1759,f1645]) ).
fof(f4629,plain,
( spl51_295
| ~ spl51_62
| ~ spl51_66 ),
inference(avatar_split_clause,[],[f1825,f1742,f1708,f4627]) ).
fof(f4627,plain,
( spl51_295
<=> ! [X4,X0,X3,X2,X1] :
( ~ sP3(X0,X1,X2,X3)
| ~ rpoint(X4)
| vd684 = vg(X4,X4,sK46(X0,X1,X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_295])]) ).
fof(f1825,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sP3(X0,X1,X2,X3)
| ~ rpoint(X4)
| vd684 = vg(X4,X4,sK46(X0,X1,X2,X3)) )
| ~ spl51_62
| ~ spl51_66 ),
inference(resolution,[],[f1743,f1709]) ).
fof(f4625,plain,
( spl51_294
| ~ spl51_62
| ~ spl51_65 ),
inference(avatar_split_clause,[],[f1823,f1738,f1708,f4623]) ).
fof(f4623,plain,
( spl51_294
<=> ! [X4,X0,X3,X2,X1] :
( ~ sP2(X0,X1,X2,X3)
| ~ rpoint(X4)
| vd684 = vg(X4,X4,sK36(X0,X1,X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_294])]) ).
fof(f1823,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sP2(X0,X1,X2,X3)
| ~ rpoint(X4)
| vd684 = vg(X4,X4,sK36(X0,X1,X2,X3)) )
| ~ spl51_62
| ~ spl51_65 ),
inference(resolution,[],[f1739,f1709]) ).
fof(f4597,plain,
( spl51_293
| ~ spl51_192
| ~ spl51_257 ),
inference(avatar_split_clause,[],[f4106,f3957,f2868,f4595]) ).
fof(f3957,plain,
( spl51_257
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK15(X1,X2))
| ~ sP0(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_257])]) ).
fof(f4106,plain,
( ! [X0] :
( vd684 = vg(X0,X0,sK15(sK5,vskolem1061))
| ~ rpoint(X0) )
| ~ spl51_192
| ~ spl51_257 ),
inference(resolution,[],[f3958,f2870]) ).
fof(f3958,plain,
( ! [X2,X0,X1] :
( ~ sP0(X1,X2)
| vd684 = vg(X0,X0,sK15(X1,X2))
| ~ rpoint(X0) )
| ~ spl51_257 ),
inference(avatar_component_clause,[],[f3957]) ).
fof(f4577,plain,
( spl51_292
| ~ spl51_37
| ~ spl51_85 ),
inference(avatar_split_clause,[],[f1907,f1820,f1581,f4575]) ).
fof(f1907,plain,
( ! [X0,X1] :
( ~ rcircle(X0)
| ~ rpoint(X1)
| ~ ron(X1,X0)
| vd684 = vf(sK32(X0,X1),sK32(X0,X1)) )
| ~ spl51_37
| ~ spl51_85 ),
inference(resolution,[],[f1821,f1582]) ).
fof(f4567,plain,
( spl51_291
| ~ spl51_37
| ~ spl51_82 ),
inference(avatar_split_clause,[],[f1895,f1807,f1581,f4565]) ).
fof(f4565,plain,
( spl51_291
<=> ! [X0,X1] :
( ~ rcircle(X0)
| ~ rcircle(X1)
| ~ rintersect(X0,X1)
| vd684 = vf(sK30(X0,X1),sK30(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_291])]) ).
fof(f1895,plain,
( ! [X0,X1] :
( ~ rcircle(X0)
| ~ rcircle(X1)
| ~ rintersect(X0,X1)
| vd684 = vf(sK30(X0,X1),sK30(X0,X1)) )
| ~ spl51_37
| ~ spl51_82 ),
inference(resolution,[],[f1808,f1582]) ).
fof(f4563,plain,
( spl51_290
| ~ spl51_34
| ~ spl51_71 ),
inference(avatar_split_clause,[],[f1857,f1762,f1569,f4561]) ).
fof(f4561,plain,
( spl51_290
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK29(X1,X2)) = sK18(X0,sK29(X1,X2))
| ~ sP1(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_290])]) ).
fof(f1857,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK29(X1,X2)) = sK18(X0,sK29(X1,X2))
| ~ sP1(X1,X2) )
| ~ spl51_34
| ~ spl51_71 ),
inference(resolution,[],[f1763,f1570]) ).
fof(f4559,plain,
( spl51_289
| ~ spl51_35
| ~ spl51_71 ),
inference(avatar_split_clause,[],[f1856,f1762,f1573,f4557]) ).
fof(f4557,plain,
( spl51_289
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK28(X1,X2)) = sK18(X0,sK28(X1,X2))
| ~ sP1(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_289])]) ).
fof(f1856,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK28(X1,X2)) = sK18(X0,sK28(X1,X2))
| ~ sP1(X1,X2) )
| ~ spl51_35
| ~ spl51_71 ),
inference(resolution,[],[f1763,f1574]) ).
fof(f4555,plain,
( spl51_288
| ~ spl51_32
| ~ spl51_71 ),
inference(avatar_split_clause,[],[f1854,f1762,f1561,f4553]) ).
fof(f4553,plain,
( spl51_288
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK16(X1,X2)) = sK18(X0,sK16(X1,X2))
| ~ sP0(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_288])]) ).
fof(f1854,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK16(X1,X2)) = sK18(X0,sK16(X1,X2))
| ~ sP0(X1,X2) )
| ~ spl51_32
| ~ spl51_71 ),
inference(resolution,[],[f1763,f1562]) ).
fof(f4551,plain,
( spl51_287
| ~ spl51_33
| ~ spl51_71 ),
inference(avatar_split_clause,[],[f1853,f1762,f1565,f4549]) ).
fof(f4549,plain,
( spl51_287
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK15(X1,X2)) = sK18(X0,sK15(X1,X2))
| ~ sP0(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_287])]) ).
fof(f1853,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK15(X1,X2)) = sK18(X0,sK15(X1,X2))
| ~ sP0(X1,X2) )
| ~ spl51_33
| ~ spl51_71 ),
inference(resolution,[],[f1763,f1566]) ).
fof(f4547,plain,
( spl51_286
| ~ spl51_31
| ~ spl51_71 ),
inference(avatar_split_clause,[],[f1847,f1762,f1557,f4545]) ).
fof(f4545,plain,
( spl51_286
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK6(X1,X2)) = sK18(X0,sK6(X1,X2))
| ~ rcenter(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_286])]) ).
fof(f1847,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK6(X1,X2)) = sK18(X0,sK6(X1,X2))
| ~ rcenter(X1,X2) )
| ~ spl51_31
| ~ spl51_71 ),
inference(resolution,[],[f1763,f1558]) ).
fof(f4543,plain,
( spl51_285
| ~ spl51_34
| ~ spl51_70 ),
inference(avatar_split_clause,[],[f1841,f1758,f1569,f4541]) ).
fof(f4541,plain,
( spl51_285
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(sK29(X1,X2),X0) = vf(X0,sK29(X1,X2))
| ~ sP1(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_285])]) ).
fof(f1841,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(sK29(X1,X2),X0) = vf(X0,sK29(X1,X2))
| ~ sP1(X1,X2) )
| ~ spl51_34
| ~ spl51_70 ),
inference(resolution,[],[f1759,f1570]) ).
fof(f4539,plain,
( spl51_284
| ~ spl51_35
| ~ spl51_70 ),
inference(avatar_split_clause,[],[f1840,f1758,f1573,f4537]) ).
fof(f4537,plain,
( spl51_284
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(sK28(X1,X2),X0) = vf(X0,sK28(X1,X2))
| ~ sP1(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_284])]) ).
fof(f1840,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(sK28(X1,X2),X0) = vf(X0,sK28(X1,X2))
| ~ sP1(X1,X2) )
| ~ spl51_35
| ~ spl51_70 ),
inference(resolution,[],[f1759,f1574]) ).
fof(f4535,plain,
( spl51_283
| ~ spl51_32
| ~ spl51_70 ),
inference(avatar_split_clause,[],[f1838,f1758,f1561,f4533]) ).
fof(f4533,plain,
( spl51_283
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(sK16(X1,X2),X0) = vf(X0,sK16(X1,X2))
| ~ sP0(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_283])]) ).
fof(f1838,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(sK16(X1,X2),X0) = vf(X0,sK16(X1,X2))
| ~ sP0(X1,X2) )
| ~ spl51_32
| ~ spl51_70 ),
inference(resolution,[],[f1759,f1562]) ).
fof(f4531,plain,
( spl51_282
| ~ spl51_33
| ~ spl51_70 ),
inference(avatar_split_clause,[],[f1837,f1758,f1565,f4529]) ).
fof(f4529,plain,
( spl51_282
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(sK15(X1,X2),X0) = vf(X0,sK15(X1,X2))
| ~ sP0(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_282])]) ).
fof(f1837,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(sK15(X1,X2),X0) = vf(X0,sK15(X1,X2))
| ~ sP0(X1,X2) )
| ~ spl51_33
| ~ spl51_70 ),
inference(resolution,[],[f1759,f1566]) ).
fof(f4521,plain,
( spl51_281
| ~ spl51_31
| ~ spl51_70 ),
inference(avatar_split_clause,[],[f1831,f1758,f1557,f4519]) ).
fof(f4519,plain,
( spl51_281
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(sK6(X1,X2),X0) = vf(X0,sK6(X1,X2))
| ~ rcenter(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_281])]) ).
fof(f1831,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(sK6(X1,X2),X0) = vf(X0,sK6(X1,X2))
| ~ rcenter(X1,X2) )
| ~ spl51_31
| ~ spl51_70 ),
inference(resolution,[],[f1759,f1558]) ).
fof(f4495,plain,
( spl51_280
| ~ spl51_49
| ~ spl51_62 ),
inference(avatar_split_clause,[],[f1730,f1708,f1644,f4493]) ).
fof(f4493,plain,
( spl51_280
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK17(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_280])]) ).
fof(f1730,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK17(X1,X2))
| ~ rpoint(X1)
| ~ rpoint(X2) )
| ~ spl51_49
| ~ spl51_62 ),
inference(resolution,[],[f1709,f1645]) ).
fof(f4337,plain,
( spl51_279
| ~ spl51_192
| ~ spl51_249 ),
inference(avatar_split_clause,[],[f3933,f3910,f2868,f4334]) ).
fof(f4334,plain,
( spl51_279
<=> vd684 = vf(sK16(sK5,vskolem1061),sK16(sK5,vskolem1061)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_279])]) ).
fof(f3910,plain,
( spl51_249
<=> ! [X0,X1] :
( vd684 = vf(sK16(X0,X1),sK16(X0,X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_249])]) ).
fof(f3933,plain,
( vd684 = vf(sK16(sK5,vskolem1061),sK16(sK5,vskolem1061))
| ~ spl51_192
| ~ spl51_249 ),
inference(resolution,[],[f3911,f2870]) ).
fof(f3911,plain,
( ! [X0,X1] :
( ~ sP0(X0,X1)
| vd684 = vf(sK16(X0,X1),sK16(X0,X1)) )
| ~ spl51_249 ),
inference(avatar_component_clause,[],[f3910]) ).
fof(f4112,plain,
( spl51_278
| ~ spl51_192
| ~ spl51_248 ),
inference(avatar_split_clause,[],[f3932,f3906,f2868,f4109]) ).
fof(f4109,plain,
( spl51_278
<=> vd684 = vf(sK15(sK5,vskolem1061),sK15(sK5,vskolem1061)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_278])]) ).
fof(f3906,plain,
( spl51_248
<=> ! [X0,X1] :
( vd684 = vf(sK15(X0,X1),sK15(X0,X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_248])]) ).
fof(f3932,plain,
( vd684 = vf(sK15(sK5,vskolem1061),sK15(sK5,vskolem1061))
| ~ spl51_192
| ~ spl51_248 ),
inference(resolution,[],[f3907,f2870]) ).
fof(f3907,plain,
( ! [X0,X1] :
( ~ sP0(X0,X1)
| vd684 = vf(sK15(X0,X1),sK15(X0,X1)) )
| ~ spl51_248 ),
inference(avatar_component_clause,[],[f3906]) ).
fof(f4051,plain,
( spl51_277
| ~ spl51_6
| ~ spl51_129 ),
inference(avatar_split_clause,[],[f2173,f2107,f1443,f4049]) ).
fof(f4049,plain,
( spl51_277
<=> ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,vd14) = sK20(X0,X1,vd14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_277])]) ).
fof(f2173,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,vd14) = sK20(X0,X1,vd14) )
| ~ spl51_6
| ~ spl51_129 ),
inference(resolution,[],[f2108,f1445]) ).
fof(f4047,plain,
( spl51_276
| ~ spl51_8
| ~ spl51_129 ),
inference(avatar_split_clause,[],[f2172,f2107,f1453,f4045]) ).
fof(f4045,plain,
( spl51_276
<=> ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,vd1056) = sK20(X0,X1,vd1056) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_276])]) ).
fof(f2172,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,vd1056) = sK20(X0,X1,vd1056) )
| ~ spl51_8
| ~ spl51_129 ),
inference(resolution,[],[f2108,f1455]) ).
fof(f4037,plain,
( spl51_275
| ~ spl51_7
| ~ spl51_129 ),
inference(avatar_split_clause,[],[f2171,f2107,f1448,f4035]) ).
fof(f4035,plain,
( spl51_275
<=> ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,vd1058) = sK20(X0,X1,vd1058) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_275])]) ).
fof(f2171,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,vd1058) = sK20(X0,X1,vd1058) )
| ~ spl51_7
| ~ spl51_129 ),
inference(resolution,[],[f2108,f1450]) ).
fof(f4033,plain,
( spl51_274
| ~ spl51_6
| ~ spl51_128 ),
inference(avatar_split_clause,[],[f2149,f2103,f1443,f4031]) ).
fof(f4031,plain,
( spl51_274
<=> ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,vd14) = vg(X0,vd14,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_274])]) ).
fof(f2149,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,vd14) = vg(X0,vd14,X1) )
| ~ spl51_6
| ~ spl51_128 ),
inference(resolution,[],[f2104,f1445]) ).
fof(f4029,plain,
( spl51_273
| ~ spl51_8
| ~ spl51_128 ),
inference(avatar_split_clause,[],[f2148,f2103,f1453,f4027]) ).
fof(f4027,plain,
( spl51_273
<=> ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,vd1056) = vg(X0,vd1056,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_273])]) ).
fof(f2148,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,vd1056) = vg(X0,vd1056,X1) )
| ~ spl51_8
| ~ spl51_128 ),
inference(resolution,[],[f2104,f1455]) ).
fof(f4025,plain,
( spl51_272
| ~ spl51_7
| ~ spl51_128 ),
inference(avatar_split_clause,[],[f2147,f2103,f1448,f4023]) ).
fof(f4023,plain,
( spl51_272
<=> ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,vd1058) = vg(X0,vd1058,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_272])]) ).
fof(f2147,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,vd1058) = vg(X0,vd1058,X1) )
| ~ spl51_7
| ~ spl51_128 ),
inference(resolution,[],[f2104,f1450]) ).
fof(f4021,plain,
( spl51_271
| ~ spl51_6
| ~ spl51_127 ),
inference(avatar_split_clause,[],[f2120,f2099,f1443,f4019]) ).
fof(f4019,plain,
( spl51_271
<=> ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,vd14) = vg(vd14,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_271])]) ).
fof(f2120,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,vd14) = vg(vd14,X0,X1) )
| ~ spl51_6
| ~ spl51_127 ),
inference(resolution,[],[f2100,f1445]) ).
fof(f4017,plain,
( spl51_270
| ~ spl51_8
| ~ spl51_127 ),
inference(avatar_split_clause,[],[f2119,f2099,f1453,f4015]) ).
fof(f4015,plain,
( spl51_270
<=> ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,vd1056) = vg(vd1056,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_270])]) ).
fof(f2119,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,vd1056) = vg(vd1056,X0,X1) )
| ~ spl51_8
| ~ spl51_127 ),
inference(resolution,[],[f2100,f1455]) ).
fof(f4013,plain,
( spl51_269
| ~ spl51_7
| ~ spl51_127 ),
inference(avatar_split_clause,[],[f2118,f2099,f1448,f4011]) ).
fof(f4011,plain,
( spl51_269
<=> ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,vd1058) = vg(vd1058,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_269])]) ).
fof(f2118,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vg(X0,X1,vd1058) = vg(vd1058,X0,X1) )
| ~ spl51_7
| ~ spl51_127 ),
inference(resolution,[],[f2100,f1450]) ).
fof(f4009,plain,
( spl51_268
| ~ spl51_21
| ~ spl51_71 ),
inference(avatar_split_clause,[],[f1852,f1762,f1513,f4007]) ).
fof(f4007,plain,
( spl51_268
<=> ! [X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK14(X1)) = sK18(X0,sK14(X1))
| ~ rpoint(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_268])]) ).
fof(f1852,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK14(X1)) = sK18(X0,sK14(X1))
| ~ rpoint(X1) )
| ~ spl51_21
| ~ spl51_71 ),
inference(resolution,[],[f1763,f1514]) ).
fof(f4005,plain,
( spl51_267
| ~ spl51_20
| ~ spl51_71 ),
inference(avatar_split_clause,[],[f1851,f1762,f1509,f4003]) ).
fof(f4003,plain,
( spl51_267
<=> ! [X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK13(X1)) = sK18(X0,sK13(X1))
| ~ rcircle(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_267])]) ).
fof(f1851,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK13(X1)) = sK18(X0,sK13(X1))
| ~ rcircle(X1) )
| ~ spl51_20
| ~ spl51_71 ),
inference(resolution,[],[f1763,f1510]) ).
fof(f4001,plain,
( spl51_266
| ~ spl51_19
| ~ spl51_71 ),
inference(avatar_split_clause,[],[f1850,f1762,f1505,f3999]) ).
fof(f3999,plain,
( spl51_266
<=> ! [X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK12(X1)) = sK18(X0,sK12(X1))
| ~ rcircle(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_266])]) ).
fof(f1850,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK12(X1)) = sK18(X0,sK12(X1))
| ~ rcircle(X1) )
| ~ spl51_19
| ~ spl51_71 ),
inference(resolution,[],[f1763,f1506]) ).
fof(f3991,plain,
( spl51_265
| ~ spl51_18
| ~ spl51_71 ),
inference(avatar_split_clause,[],[f1849,f1762,f1501,f3989]) ).
fof(f3989,plain,
( spl51_265
<=> ! [X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK11(X1)) = sK18(X0,sK11(X1))
| ~ rcircle(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_265])]) ).
fof(f1849,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| vf(X0,sK11(X1)) = sK18(X0,sK11(X1))
| ~ rcircle(X1) )
| ~ spl51_18
| ~ spl51_71 ),
inference(resolution,[],[f1763,f1502]) ).
fof(f3987,plain,
( spl51_264
| ~ spl51_21
| ~ spl51_70 ),
inference(avatar_split_clause,[],[f1836,f1758,f1513,f3985]) ).
fof(f3985,plain,
( spl51_264
<=> ! [X0,X1] :
( ~ rpoint(X0)
| vf(sK14(X1),X0) = vf(X0,sK14(X1))
| ~ rpoint(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_264])]) ).
fof(f1836,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| vf(sK14(X1),X0) = vf(X0,sK14(X1))
| ~ rpoint(X1) )
| ~ spl51_21
| ~ spl51_70 ),
inference(resolution,[],[f1759,f1514]) ).
fof(f3983,plain,
( spl51_263
| ~ spl51_20
| ~ spl51_70 ),
inference(avatar_split_clause,[],[f1835,f1758,f1509,f3981]) ).
fof(f3981,plain,
( spl51_263
<=> ! [X0,X1] :
( ~ rpoint(X0)
| vf(sK13(X1),X0) = vf(X0,sK13(X1))
| ~ rcircle(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_263])]) ).
fof(f1835,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| vf(sK13(X1),X0) = vf(X0,sK13(X1))
| ~ rcircle(X1) )
| ~ spl51_20
| ~ spl51_70 ),
inference(resolution,[],[f1759,f1510]) ).
fof(f3979,plain,
( spl51_262
| ~ spl51_19
| ~ spl51_70 ),
inference(avatar_split_clause,[],[f1834,f1758,f1505,f3977]) ).
fof(f3977,plain,
( spl51_262
<=> ! [X0,X1] :
( ~ rpoint(X0)
| vf(sK12(X1),X0) = vf(X0,sK12(X1))
| ~ rcircle(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_262])]) ).
fof(f1834,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| vf(sK12(X1),X0) = vf(X0,sK12(X1))
| ~ rcircle(X1) )
| ~ spl51_19
| ~ spl51_70 ),
inference(resolution,[],[f1759,f1506]) ).
fof(f3975,plain,
( spl51_261
| ~ spl51_18
| ~ spl51_70 ),
inference(avatar_split_clause,[],[f1833,f1758,f1501,f3973]) ).
fof(f3973,plain,
( spl51_261
<=> ! [X0,X1] :
( ~ rpoint(X0)
| vf(sK11(X1),X0) = vf(X0,sK11(X1))
| ~ rcircle(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_261])]) ).
fof(f1833,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| vf(sK11(X1),X0) = vf(X0,sK11(X1))
| ~ rcircle(X1) )
| ~ spl51_18
| ~ spl51_70 ),
inference(resolution,[],[f1759,f1502]) ).
fof(f3971,plain,
( spl51_260
| ~ spl51_34
| ~ spl51_62 ),
inference(avatar_split_clause,[],[f1732,f1708,f1569,f3969]) ).
fof(f3969,plain,
( spl51_260
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK29(X1,X2))
| ~ sP1(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_260])]) ).
fof(f1732,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK29(X1,X2))
| ~ sP1(X1,X2) )
| ~ spl51_34
| ~ spl51_62 ),
inference(resolution,[],[f1709,f1570]) ).
fof(f3967,plain,
( spl51_259
| ~ spl51_35
| ~ spl51_62 ),
inference(avatar_split_clause,[],[f1731,f1708,f1573,f3965]) ).
fof(f3965,plain,
( spl51_259
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK28(X1,X2))
| ~ sP1(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_259])]) ).
fof(f1731,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK28(X1,X2))
| ~ sP1(X1,X2) )
| ~ spl51_35
| ~ spl51_62 ),
inference(resolution,[],[f1709,f1574]) ).
fof(f3963,plain,
( spl51_258
| ~ spl51_32
| ~ spl51_62 ),
inference(avatar_split_clause,[],[f1729,f1708,f1561,f3961]) ).
fof(f1729,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK16(X1,X2))
| ~ sP0(X1,X2) )
| ~ spl51_32
| ~ spl51_62 ),
inference(resolution,[],[f1709,f1562]) ).
fof(f3959,plain,
( spl51_257
| ~ spl51_33
| ~ spl51_62 ),
inference(avatar_split_clause,[],[f1728,f1708,f1565,f3957]) ).
fof(f1728,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK15(X1,X2))
| ~ sP0(X1,X2) )
| ~ spl51_33
| ~ spl51_62 ),
inference(resolution,[],[f1709,f1566]) ).
fof(f3955,plain,
( spl51_256
| ~ spl51_31
| ~ spl51_62 ),
inference(avatar_split_clause,[],[f1722,f1708,f1557,f3953]) ).
fof(f3953,plain,
( spl51_256
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK6(X1,X2))
| ~ rcenter(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_256])]) ).
fof(f1722,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK6(X1,X2))
| ~ rcenter(X1,X2) )
| ~ spl51_31
| ~ spl51_62 ),
inference(resolution,[],[f1709,f1558]) ).
fof(f3945,plain,
( spl51_255
| ~ spl51_36
| ~ spl51_51 ),
inference(avatar_split_clause,[],[f1681,f1652,f1577,f3943]) ).
fof(f3943,plain,
( spl51_255
<=> ! [X0,X1] :
( ~ rreal(X0)
| ~ rreal(X1)
| sK23(X0,X1) = vplus(sK23(X0,X1),vd684) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_255])]) ).
fof(f1681,plain,
( ! [X0,X1] :
( ~ rreal(X0)
| ~ rreal(X1)
| sK23(X0,X1) = vplus(sK23(X0,X1),vd684) )
| ~ spl51_36
| ~ spl51_51 ),
inference(resolution,[],[f1653,f1578]) ).
fof(f3941,plain,
( spl51_254
| ~ spl51_36
| ~ spl51_50 ),
inference(avatar_split_clause,[],[f1680,f1648,f1577,f3939]) ).
fof(f3939,plain,
( spl51_254
<=> ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| sK18(X0,X1) = vplus(sK18(X0,X1),vd684) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_254])]) ).
fof(f1680,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| sK18(X0,X1) = vplus(sK18(X0,X1),vd684) )
| ~ spl51_36
| ~ spl51_50 ),
inference(resolution,[],[f1649,f1578]) ).
fof(f3937,plain,
( spl51_253
| ~ spl51_37
| ~ spl51_49 ),
inference(avatar_split_clause,[],[f1679,f1644,f1581,f3935]) ).
fof(f3935,plain,
( spl51_253
<=> ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vd684 = vf(sK17(X0,X1),sK17(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_253])]) ).
fof(f1679,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vd684 = vf(sK17(X0,X1),sK17(X0,X1)) )
| ~ spl51_37
| ~ spl51_49 ),
inference(resolution,[],[f1645,f1582]) ).
fof(f3925,plain,
( spl51_252
| ~ spl51_34
| ~ spl51_37 ),
inference(avatar_split_clause,[],[f1597,f1581,f1569,f3923]) ).
fof(f3923,plain,
( spl51_252
<=> ! [X0,X1] :
( vd684 = vf(sK29(X0,X1),sK29(X0,X1))
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_252])]) ).
fof(f1597,plain,
( ! [X0,X1] :
( vd684 = vf(sK29(X0,X1),sK29(X0,X1))
| ~ sP1(X0,X1) )
| ~ spl51_34
| ~ spl51_37 ),
inference(resolution,[],[f1582,f1570]) ).
fof(f3921,plain,
( spl51_251
| ~ spl51_35
| ~ spl51_37 ),
inference(avatar_split_clause,[],[f1596,f1581,f1573,f3919]) ).
fof(f3919,plain,
( spl51_251
<=> ! [X0,X1] :
( vd684 = vf(sK28(X0,X1),sK28(X0,X1))
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_251])]) ).
fof(f1596,plain,
( ! [X0,X1] :
( vd684 = vf(sK28(X0,X1),sK28(X0,X1))
| ~ sP1(X0,X1) )
| ~ spl51_35
| ~ spl51_37 ),
inference(resolution,[],[f1582,f1574]) ).
fof(f3917,plain,
( spl51_250
| ~ spl51_1
| ~ spl51_229 ),
inference(avatar_split_clause,[],[f3619,f3562,f1418,f3914]) ).
fof(f3914,plain,
( spl51_250
<=> vd684 = vf(sK13(sK5),sK13(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_250])]) ).
fof(f3562,plain,
( spl51_229
<=> ! [X0] :
( vd684 = vf(sK13(X0),sK13(X0))
| ~ rcircle(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_229])]) ).
fof(f3619,plain,
( vd684 = vf(sK13(sK5),sK13(sK5))
| ~ spl51_1
| ~ spl51_229 ),
inference(resolution,[],[f3563,f1420]) ).
fof(f3563,plain,
( ! [X0] :
( ~ rcircle(X0)
| vd684 = vf(sK13(X0),sK13(X0)) )
| ~ spl51_229 ),
inference(avatar_component_clause,[],[f3562]) ).
fof(f3912,plain,
( spl51_249
| ~ spl51_32
| ~ spl51_37 ),
inference(avatar_split_clause,[],[f1595,f1581,f1561,f3910]) ).
fof(f1595,plain,
( ! [X0,X1] :
( vd684 = vf(sK16(X0,X1),sK16(X0,X1))
| ~ sP0(X0,X1) )
| ~ spl51_32
| ~ spl51_37 ),
inference(resolution,[],[f1582,f1562]) ).
fof(f3908,plain,
( spl51_248
| ~ spl51_33
| ~ spl51_37 ),
inference(avatar_split_clause,[],[f1594,f1581,f1565,f3906]) ).
fof(f1594,plain,
( ! [X0,X1] :
( vd684 = vf(sK15(X0,X1),sK15(X0,X1))
| ~ sP0(X0,X1) )
| ~ spl51_33
| ~ spl51_37 ),
inference(resolution,[],[f1582,f1566]) ).
fof(f3904,plain,
( spl51_247
| ~ spl51_31
| ~ spl51_37 ),
inference(avatar_split_clause,[],[f1588,f1581,f1557,f3902]) ).
fof(f3902,plain,
( spl51_247
<=> ! [X0,X1] :
( vd684 = vf(sK6(X0,X1),sK6(X0,X1))
| ~ rcenter(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_247])]) ).
fof(f1588,plain,
( ! [X0,X1] :
( vd684 = vf(sK6(X0,X1),sK6(X0,X1))
| ~ rcenter(X0,X1) )
| ~ spl51_31
| ~ spl51_37 ),
inference(resolution,[],[f1582,f1558]) ).
fof(f3812,plain,
( spl51_246
| ~ spl51_21
| ~ spl51_62 ),
inference(avatar_split_clause,[],[f1727,f1708,f1513,f3810]) ).
fof(f1727,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK14(X1))
| ~ rpoint(X1) )
| ~ spl51_21
| ~ spl51_62 ),
inference(resolution,[],[f1709,f1514]) ).
fof(f3808,plain,
( spl51_245
| ~ spl51_20
| ~ spl51_62 ),
inference(avatar_split_clause,[],[f1726,f1708,f1509,f3806]) ).
fof(f3806,plain,
( spl51_245
<=> ! [X0,X1] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK13(X1))
| ~ rcircle(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_245])]) ).
fof(f1726,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK13(X1))
| ~ rcircle(X1) )
| ~ spl51_20
| ~ spl51_62 ),
inference(resolution,[],[f1709,f1510]) ).
fof(f3804,plain,
( spl51_244
| ~ spl51_19
| ~ spl51_62 ),
inference(avatar_split_clause,[],[f1725,f1708,f1505,f3802]) ).
fof(f3802,plain,
( spl51_244
<=> ! [X0,X1] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK12(X1))
| ~ rcircle(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_244])]) ).
fof(f1725,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK12(X1))
| ~ rcircle(X1) )
| ~ spl51_19
| ~ spl51_62 ),
inference(resolution,[],[f1709,f1506]) ).
fof(f3800,plain,
( spl51_243
| ~ spl51_1
| ~ spl51_228 ),
inference(avatar_split_clause,[],[f3615,f3558,f1418,f3797]) ).
fof(f3797,plain,
( spl51_243
<=> vd684 = vf(sK12(sK5),sK12(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_243])]) ).
fof(f3558,plain,
( spl51_228
<=> ! [X0] :
( vd684 = vf(sK12(X0),sK12(X0))
| ~ rcircle(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_228])]) ).
fof(f3615,plain,
( vd684 = vf(sK12(sK5),sK12(sK5))
| ~ spl51_1
| ~ spl51_228 ),
inference(resolution,[],[f3559,f1420]) ).
fof(f3559,plain,
( ! [X0] :
( ~ rcircle(X0)
| vd684 = vf(sK12(X0),sK12(X0)) )
| ~ spl51_228 ),
inference(avatar_component_clause,[],[f3558]) ).
fof(f3795,plain,
( spl51_242
| ~ spl51_18
| ~ spl51_62 ),
inference(avatar_split_clause,[],[f1724,f1708,f1501,f3793]) ).
fof(f3793,plain,
( spl51_242
<=> ! [X0,X1] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK11(X1))
| ~ rcircle(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_242])]) ).
fof(f1724,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,sK11(X1))
| ~ rcircle(X1) )
| ~ spl51_18
| ~ spl51_62 ),
inference(resolution,[],[f1709,f1502]) ).
fof(f3647,plain,
( spl51_241
| ~ spl51_1
| ~ spl51_227 ),
inference(avatar_split_clause,[],[f3611,f3554,f1418,f3644]) ).
fof(f3644,plain,
( spl51_241
<=> vd684 = vf(sK11(sK5),sK11(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_241])]) ).
fof(f3554,plain,
( spl51_227
<=> ! [X0] :
( vd684 = vf(sK11(X0),sK11(X0))
| ~ rcircle(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_227])]) ).
fof(f3611,plain,
( vd684 = vf(sK11(sK5),sK11(sK5))
| ~ spl51_1
| ~ spl51_227 ),
inference(resolution,[],[f3555,f1420]) ).
fof(f3555,plain,
( ! [X0] :
( ~ rcircle(X0)
| vd684 = vf(sK11(X0),sK11(X0)) )
| ~ spl51_227 ),
inference(avatar_component_clause,[],[f3554]) ).
fof(f3608,plain,
( spl51_240
| ~ spl51_5
| ~ spl51_76 ),
inference(avatar_split_clause,[],[f1869,f1783,f1438,f3606]) ).
fof(f3606,plain,
( spl51_240
<=> ! [X0] :
( ~ rreal(X0)
| vplus(X0,vd684) = sK23(X0,vd684) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_240])]) ).
fof(f1438,plain,
( spl51_5
<=> rreal(vd684) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_5])]) ).
fof(f1869,plain,
( ! [X0] :
( ~ rreal(X0)
| vplus(X0,vd684) = sK23(X0,vd684) )
| ~ spl51_5
| ~ spl51_76 ),
inference(resolution,[],[f1784,f1440]) ).
fof(f1440,plain,
( rreal(vd684)
| ~ spl51_5 ),
inference(avatar_component_clause,[],[f1438]) ).
fof(f3604,plain,
( spl51_239
| ~ spl51_5
| ~ spl51_75 ),
inference(avatar_split_clause,[],[f1865,f1779,f1438,f3602]) ).
fof(f3602,plain,
( spl51_239
<=> ! [X0] :
( ~ rreal(X0)
| vplus(X0,vd684) = vplus(vd684,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_239])]) ).
fof(f1865,plain,
( ! [X0] :
( ~ rreal(X0)
| vplus(X0,vd684) = vplus(vd684,X0) )
| ~ spl51_5
| ~ spl51_75 ),
inference(resolution,[],[f1780,f1440]) ).
fof(f3600,plain,
( spl51_238
| ~ spl51_6
| ~ spl51_71 ),
inference(avatar_split_clause,[],[f1846,f1762,f1443,f3598]) ).
fof(f1846,plain,
( ! [X0] :
( ~ rpoint(X0)
| vf(X0,vd14) = sK18(X0,vd14) )
| ~ spl51_6
| ~ spl51_71 ),
inference(resolution,[],[f1763,f1445]) ).
fof(f3596,plain,
( spl51_237
| ~ spl51_8
| ~ spl51_71 ),
inference(avatar_split_clause,[],[f1845,f1762,f1453,f3594]) ).
fof(f1845,plain,
( ! [X0] :
( ~ rpoint(X0)
| vf(X0,vd1056) = sK18(X0,vd1056) )
| ~ spl51_8
| ~ spl51_71 ),
inference(resolution,[],[f1763,f1455]) ).
fof(f3592,plain,
( spl51_236
| ~ spl51_7
| ~ spl51_71 ),
inference(avatar_split_clause,[],[f1844,f1762,f1448,f3590]) ).
fof(f1844,plain,
( ! [X0] :
( ~ rpoint(X0)
| vf(X0,vd1058) = sK18(X0,vd1058) )
| ~ spl51_7
| ~ spl51_71 ),
inference(resolution,[],[f1763,f1450]) ).
fof(f3588,plain,
( spl51_235
| ~ spl51_6
| ~ spl51_70 ),
inference(avatar_split_clause,[],[f1830,f1758,f1443,f3586]) ).
fof(f1830,plain,
( ! [X0] :
( ~ rpoint(X0)
| vf(vd14,X0) = vf(X0,vd14) )
| ~ spl51_6
| ~ spl51_70 ),
inference(resolution,[],[f1759,f1445]) ).
fof(f3584,plain,
( ~ spl51_8
| spl51_234
| ~ spl51_4
| ~ spl51_210 ),
inference(avatar_split_clause,[],[f2981,f2978,f1433,f3582,f1453]) ).
fof(f3582,plain,
( spl51_234
<=> ! [X0] :
( ~ rpoint(X0)
| ~ ron(X0,sK5)
| vf(vd1058,X0) = vf(vd1058,vd1056) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_234])]) ).
fof(f2981,plain,
( ! [X0] :
( ~ rpoint(X0)
| vf(vd1058,X0) = vf(vd1058,vd1056)
| ~ rpoint(vd1056)
| ~ ron(X0,sK5) )
| ~ spl51_4
| ~ spl51_210 ),
inference(resolution,[],[f2979,f1435]) ).
fof(f3580,plain,
( spl51_233
| ~ spl51_8
| ~ spl51_70 ),
inference(avatar_split_clause,[],[f1829,f1758,f1453,f3578]) ).
fof(f1829,plain,
( ! [X0] :
( ~ rpoint(X0)
| vf(vd1056,X0) = vf(X0,vd1056) )
| ~ spl51_8
| ~ spl51_70 ),
inference(resolution,[],[f1759,f1455]) ).
fof(f3576,plain,
( spl51_232
| ~ spl51_7
| ~ spl51_70 ),
inference(avatar_split_clause,[],[f1828,f1758,f1448,f3574]) ).
fof(f1828,plain,
( ! [X0] :
( ~ rpoint(X0)
| vf(vd1058,X0) = vf(X0,vd1058) )
| ~ spl51_7
| ~ spl51_70 ),
inference(resolution,[],[f1759,f1450]) ).
fof(f3572,plain,
( spl51_231
| ~ spl51_26
| ~ spl51_64 ),
inference(avatar_split_clause,[],[f1736,f1716,f1533,f3570]) ).
fof(f3570,plain,
( spl51_231
<=> ! [X0] :
( ~ rpoint(sK12(X0))
| ~ rcircle(X0)
| ~ ron(sK12(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_231])]) ).
fof(f1716,plain,
( spl51_64
<=> ! [X1,X3] :
( ~ ron(X1,X3)
| ~ rpoint(X1)
| ~ rcircle(X3)
| ~ rinside(X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_64])]) ).
fof(f1736,plain,
( ! [X0] :
( ~ rpoint(sK12(X0))
| ~ rcircle(X0)
| ~ ron(sK12(X0),X0) )
| ~ spl51_26
| ~ spl51_64 ),
inference(duplicate_literal_removal,[],[f1734]) ).
fof(f1734,plain,
( ! [X0] :
( ~ rpoint(sK12(X0))
| ~ rcircle(X0)
| ~ ron(sK12(X0),X0)
| ~ rcircle(X0) )
| ~ spl51_26
| ~ spl51_64 ),
inference(resolution,[],[f1717,f1534]) ).
fof(f1717,plain,
( ! [X3,X1] :
( ~ rinside(X1,X3)
| ~ rpoint(X1)
| ~ rcircle(X3)
| ~ ron(X1,X3) )
| ~ spl51_64 ),
inference(avatar_component_clause,[],[f1716]) ).
fof(f3568,plain,
( spl51_230
| ~ spl51_21
| ~ spl51_37 ),
inference(avatar_split_clause,[],[f1593,f1581,f1513,f3566]) ).
fof(f1593,plain,
( ! [X0] :
( vd684 = vf(sK14(X0),sK14(X0))
| ~ rpoint(X0) )
| ~ spl51_21
| ~ spl51_37 ),
inference(resolution,[],[f1582,f1514]) ).
fof(f3564,plain,
( spl51_229
| ~ spl51_20
| ~ spl51_37 ),
inference(avatar_split_clause,[],[f1592,f1581,f1509,f3562]) ).
fof(f1592,plain,
( ! [X0] :
( vd684 = vf(sK13(X0),sK13(X0))
| ~ rcircle(X0) )
| ~ spl51_20
| ~ spl51_37 ),
inference(resolution,[],[f1582,f1510]) ).
fof(f3560,plain,
( spl51_228
| ~ spl51_19
| ~ spl51_37 ),
inference(avatar_split_clause,[],[f1591,f1581,f1505,f3558]) ).
fof(f1591,plain,
( ! [X0] :
( vd684 = vf(sK12(X0),sK12(X0))
| ~ rcircle(X0) )
| ~ spl51_19
| ~ spl51_37 ),
inference(resolution,[],[f1582,f1506]) ).
fof(f3556,plain,
( spl51_227
| ~ spl51_18
| ~ spl51_37 ),
inference(avatar_split_clause,[],[f1590,f1581,f1501,f3554]) ).
fof(f1590,plain,
( ! [X0] :
( vd684 = vf(sK11(X0),sK11(X0))
| ~ rcircle(X0) )
| ~ spl51_18
| ~ spl51_37 ),
inference(resolution,[],[f1582,f1502]) ).
fof(f3485,plain,
( spl51_226
| ~ spl51_10
| ~ spl51_14
| ~ spl51_79 ),
inference(avatar_split_clause,[],[f1883,f1795,f1483,f1463,f3483]) ).
fof(f3483,plain,
( spl51_226
<=> ! [X0] :
( ~ rcenter(X0,vskolem1061)
| vd1056 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_226])]) ).
fof(f1883,plain,
( ! [X0] :
( ~ rcircle(vskolem1061)
| ~ rcenter(X0,vskolem1061)
| vd1056 = X0 )
| ~ spl51_14
| ~ spl51_79 ),
inference(resolution,[],[f1796,f1485]) ).
fof(f3480,plain,
( spl51_225
| ~ spl51_9
| ~ spl51_12
| ~ spl51_79 ),
inference(avatar_split_clause,[],[f1882,f1795,f1473,f1458,f3478]) ).
fof(f3478,plain,
( spl51_225
<=> ! [X0] :
( ~ rcenter(X0,vd1063)
| vd1058 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_225])]) ).
fof(f1882,plain,
( ! [X0] :
( ~ rcircle(vd1063)
| ~ rcenter(X0,vd1063)
| vd1058 = X0 )
| ~ spl51_12
| ~ spl51_79 ),
inference(resolution,[],[f1796,f1475]) ).
fof(f3476,plain,
( spl51_224
| ~ spl51_6
| ~ spl51_62 ),
inference(avatar_split_clause,[],[f1721,f1708,f1443,f3474]) ).
fof(f1721,plain,
( ! [X0] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,vd14) )
| ~ spl51_6
| ~ spl51_62 ),
inference(resolution,[],[f1709,f1445]) ).
fof(f3472,plain,
( spl51_223
| ~ spl51_8
| ~ spl51_62 ),
inference(avatar_split_clause,[],[f1720,f1708,f1453,f3470]) ).
fof(f1720,plain,
( ! [X0] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,vd1056) )
| ~ spl51_8
| ~ spl51_62 ),
inference(resolution,[],[f1709,f1455]) ).
fof(f3468,plain,
( spl51_222
| ~ spl51_7
| ~ spl51_62 ),
inference(avatar_split_clause,[],[f1719,f1708,f1448,f3466]) ).
fof(f1719,plain,
( ! [X0] :
( ~ rpoint(X0)
| vd684 = vg(X0,X0,vd1058) )
| ~ spl51_7
| ~ spl51_62 ),
inference(resolution,[],[f1709,f1450]) ).
fof(f3442,plain,
( spl51_182
| spl51_221 ),
inference(avatar_split_clause,[],[f1290,f3440,f2697]) ).
fof(f2697,plain,
( spl51_182
<=> ! [X4] : ~ rline(X4) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_182])]) ).
fof(f3440,plain,
( spl51_221
<=> ! [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,[spl51_221])]) ).
fof(f1290,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,[],[f1289]) ).
fof(f1289,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,[],[f1288]) ).
fof(f1288,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,[],[f1287]) ).
fof(f1287,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,[],[f1286]) ).
fof(f1286,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,[],[f737]) ).
fof(f737,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,[],[f386]) ).
fof(f386,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,[],[f385]) ).
fof(f385,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,[],[f199]) ).
fof(f199,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,[],[f51]) ).
fof(f51,axiom,
! [X312,X313,X314,X315,X316,X317,X318] :
( ( ? [X321] :
( rpoint(X321)
& X312 = X321 )
& ? [X320] :
( rpoint(X320)
& X313 = X320 )
& ? [X319] :
( rpoint(X319)
& X314 = X319 )
& rline(X316)
& X315 = X316
& rcircle(X318)
& X317 = X318
& ( rinside(X312,X317)
| ron(X312,X317) )
& ( rinside(X313,X317)
| ron(X313,X317) )
& rR(X314,X312,X313) )
=> rinside(X314,X317) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(121), 0), imp(cond(axiom(121), 0)))') ).
fof(f3438,plain,
( spl51_219
| ~ spl51_220
| ~ spl51_1
| ~ spl51_63
| ~ spl51_211 ),
inference(avatar_split_clause,[],[f3073,f2997,f1712,f1418,f3435,f3431]) ).
fof(f3431,plain,
( spl51_219
<=> sP1(sK34(sK5),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_219])]) ).
fof(f3435,plain,
( spl51_220
<=> rline(sK34(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_220])]) ).
fof(f1712,plain,
( spl51_63
<=> ! [X1,X3] :
( sP1(X3,X1)
| ~ rcircle(X1)
| ~ rline(X3)
| ~ rintersect(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_63])]) ).
fof(f2997,plain,
( spl51_211
<=> rintersect(sK34(sK5),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_211])]) ).
fof(f3073,plain,
( ~ rcircle(sK5)
| ~ rline(sK34(sK5))
| sP1(sK34(sK5),sK5)
| ~ spl51_63
| ~ spl51_211 ),
inference(resolution,[],[f1713,f2999]) ).
fof(f2999,plain,
( rintersect(sK34(sK5),sK5)
| ~ spl51_211 ),
inference(avatar_component_clause,[],[f2997]) ).
fof(f1713,plain,
( ! [X3,X1] :
( ~ rintersect(X3,X1)
| ~ rcircle(X1)
| ~ rline(X3)
| sP1(X3,X1) )
| ~ spl51_63 ),
inference(avatar_component_clause,[],[f1712]) ).
fof(f3062,plain,
( spl51_218
| ~ spl51_69
| ~ spl51_182 ),
inference(avatar_split_clause,[],[f2703,f2697,f1754,f3060]) ).
fof(f1754,plain,
( spl51_69
<=> ! [X4,X3] :
( rline(sK9(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_69])]) ).
fof(f2703,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1 )
| ~ spl51_69
| ~ spl51_182 ),
inference(resolution,[],[f2698,f1755]) ).
fof(f1755,plain,
( ! [X3,X4] :
( rline(sK9(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 = X4 )
| ~ spl51_69 ),
inference(avatar_component_clause,[],[f1754]) ).
fof(f2698,plain,
( ! [X4] : ~ rline(X4)
| ~ spl51_182 ),
inference(avatar_component_clause,[],[f2697]) ).
fof(f3028,plain,
( spl51_217
| ~ spl51_14
| ~ spl51_39 ),
inference(avatar_split_clause,[],[f1673,f1603,f1483,f3025]) ).
fof(f3025,plain,
( spl51_217
<=> vd1056 = sK6(vd1056,vskolem1061) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_217])]) ).
fof(f1673,plain,
( vd1056 = sK6(vd1056,vskolem1061)
| ~ spl51_14
| ~ spl51_39 ),
inference(resolution,[],[f1604,f1485]) ).
fof(f3023,plain,
( spl51_215
| ~ spl51_1
| ~ spl51_216
| ~ spl51_61
| ~ spl51_211 ),
inference(avatar_split_clause,[],[f3004,f2997,f1704,f3020,f1418,f3016]) ).
fof(f3016,plain,
( spl51_215
<=> sP0(sK34(sK5),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_215])]) ).
fof(f3020,plain,
( spl51_216
<=> rcircle(sK34(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_216])]) ).
fof(f1704,plain,
( spl51_61
<=> ! [X2,X3] :
( sP0(X2,X3)
| ~ rcircle(X2)
| ~ rcircle(X3)
| ~ rintersect(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_61])]) ).
fof(f3004,plain,
( ~ rcircle(sK34(sK5))
| ~ rcircle(sK5)
| sP0(sK34(sK5),sK5)
| ~ spl51_61
| ~ spl51_211 ),
inference(resolution,[],[f2999,f1705]) ).
fof(f1705,plain,
( ! [X2,X3] :
( ~ rintersect(X2,X3)
| ~ rcircle(X2)
| ~ rcircle(X3)
| sP0(X2,X3) )
| ~ spl51_61 ),
inference(avatar_component_clause,[],[f1704]) ).
fof(f3014,plain,
( spl51_214
| ~ spl51_12
| ~ spl51_39 ),
inference(avatar_split_clause,[],[f1672,f1603,f1473,f3011]) ).
fof(f3011,plain,
( spl51_214
<=> vd1058 = sK6(vd1058,vd1063) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_214])]) ).
fof(f1672,plain,
( vd1058 = sK6(vd1058,vd1063)
| ~ spl51_12
| ~ spl51_39 ),
inference(resolution,[],[f1604,f1475]) ).
fof(f3009,plain,
( spl51_213
| ~ spl51_14
| ~ spl51_38 ),
inference(avatar_split_clause,[],[f1670,f1599,f1483,f3006]) ).
fof(f3006,plain,
( spl51_213
<=> vskolem1061 = sK7(vd1056,vskolem1061) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_213])]) ).
fof(f1670,plain,
( vskolem1061 = sK7(vd1056,vskolem1061)
| ~ spl51_14
| ~ spl51_38 ),
inference(resolution,[],[f1600,f1485]) ).
fof(f3003,plain,
( spl51_211
| ~ spl51_8
| ~ spl51_1
| spl51_212
| ~ spl51_4
| ~ spl51_189 ),
inference(avatar_split_clause,[],[f2839,f2835,f1433,f3001,f1418,f1453,f2997]) ).
fof(f3001,plain,
( spl51_212
<=> ! [X0] :
( rS(X0,vd1056,sK35(X0,vd1056))
| ~ ron(X0,sK5)
| ~ rpoint(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_212])]) ).
fof(f2839,plain,
( ! [X0] :
( rS(X0,vd1056,sK35(X0,vd1056))
| ~ rcircle(sK5)
| ~ rpoint(vd1056)
| rintersect(sK34(sK5),sK5)
| ~ rpoint(X0)
| ~ ron(X0,sK5) )
| ~ spl51_4
| ~ spl51_189 ),
inference(resolution,[],[f2836,f1435]) ).
fof(f2980,plain,
( spl51_210
| ~ spl51_3
| ~ spl51_161 ),
inference(avatar_split_clause,[],[f2447,f2423,f1428,f2978]) ).
fof(f2447,plain,
( ! [X0,X1] :
( ~ ron(X0,sK5)
| ~ rpoint(X0)
| vf(vd1058,X0) = vf(vd1058,X1)
| ~ rpoint(X1)
| ~ ron(X1,sK5) )
| ~ spl51_3
| ~ spl51_161 ),
inference(resolution,[],[f2424,f1430]) ).
fof(f2976,plain,
spl51_209,
inference(avatar_split_clause,[],[f770,f2974]) ).
fof(f2974,plain,
( spl51_209
<=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X15,X5,X12,X13] :
( vangle(X13,X12,X11) = vangle(sK50(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK49(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK48(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,[spl51_209])]) ).
fof(f770,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X15,X5,X12,X13] :
( vangle(X13,X12,X11) = vangle(sK50(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK49(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK48(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,[],[f531]) ).
fof(f531,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(sK48(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
& rpoint(sK49(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
& rpoint(sK50(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
& sK48(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16) = X10
& vangle(X13,X12,X11) = vangle(sK50(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK49(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK48(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
& vangle(X12,X11,X13) = vangle(sK49(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK48(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK50(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
& vangle(X11,X13,X12) = vangle(sK48(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK50(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK49(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
& vf(X11,X12) = vf(sK48(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK49(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
& vf(X12,X13) = vf(sK49(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK50(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
& vf(X11,X13) = vf(sK48(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK50(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
& ron(sK49(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),X14)
& ~ rR(X10,sK49(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),X15)
& rS(sK50(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,[sK48,sK49,sK50])],[f529,f530]) ).
fof(f530,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(X17,X19,X18) = vangle(X11,X13,X12)
& 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(sK48(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
& rpoint(sK49(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
& rpoint(sK50(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
& sK48(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16) = X10
& vangle(X13,X12,X11) = vangle(sK50(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK49(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK48(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
& vangle(X12,X11,X13) = vangle(sK49(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK48(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK50(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
& vangle(X11,X13,X12) = vangle(sK48(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK50(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK49(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
& vf(X11,X12) = vf(sK48(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK49(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
& vf(X12,X13) = vf(sK49(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK50(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
& vf(X11,X13) = vf(sK48(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK50(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16))
& ron(sK49(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),X14)
& ~ rR(X10,sK49(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),X15)
& rS(sK50(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),X16,X14) ) ),
introduced(choice_axiom,[]) ).
fof(f529,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(X17,X19,X18) = vangle(X11,X13,X12)
& 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,[],[f528]) ).
fof(f528,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(X34,X36,X35) = vangle(X0,X2,X1)
& 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,[],[f413]) ).
fof(f2972,plain,
spl51_208,
inference(avatar_split_clause,[],[f769,f2970]) ).
fof(f2970,plain,
( spl51_208
<=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X15,X5,X12,X13] :
( vangle(X12,X11,X13) = vangle(sK49(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK48(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK50(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,[spl51_208])]) ).
fof(f769,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X15,X5,X12,X13] :
( vangle(X12,X11,X13) = vangle(sK49(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK48(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK50(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,[],[f531]) ).
fof(f2968,plain,
spl51_207,
inference(avatar_split_clause,[],[f768,f2966]) ).
fof(f2966,plain,
( spl51_207
<=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X15,X5,X12,X13] :
( vangle(X11,X13,X12) = vangle(sK48(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK50(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK49(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,[spl51_207])]) ).
fof(f768,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X15,X5,X12,X13] :
( vangle(X11,X13,X12) = vangle(sK48(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK50(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK49(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,[],[f531]) ).
fof(f2962,plain,
spl51_206,
inference(avatar_split_clause,[],[f1232,f2960]) ).
fof(f2960,plain,
( spl51_206
<=> ! [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(X6,X7) != vf(X9,X10)
| vf(X7,X8) != vf(X10,X11)
| vf(X8,X6) != vf(X11,X9)
| vangle(X6,X7,X8) != vangle(X9,X10,X11)
| vangle(X7,X8,X6) != vangle(X10,X11,X9)
| vangle(X8,X6,X7) != vangle(X11,X9,X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_206])]) ).
fof(f1232,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(X6,X7) != vf(X9,X10)
| vf(X7,X8) != vf(X10,X11)
| vf(X8,X6) != vf(X11,X9)
| vangle(X6,X7,X8) != vangle(X9,X10,X11)
| vangle(X7,X8,X6) != vangle(X10,X11,X9)
| vangle(X8,X6,X7) != vangle(X11,X9,X10) ),
inference(equality_resolution,[],[f1231]) ).
fof(f1231,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(X6,X7) != vf(X9,X10)
| 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,[],[f1230]) ).
fof(f1230,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,[],[f1229]) ).
fof(f1229,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(X8,X6) != vf(X5,X3)
| 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,[],[f1228]) ).
fof(f1228,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,[],[f1227]) ).
fof(f1227,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,[],[f724]) ).
fof(f724,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,[],[f374]) ).
fof(f374,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,[],[f373]) ).
fof(f373,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,[],[f193]) ).
fof(f193,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,[],[f22]) ).
fof(f22,axiom,
! [X153,X154,X155,X156,X157,X158] :
( ( ? [X164] :
( rpoint(X164)
& X153 = X164 )
& ? [X163] :
( rpoint(X163)
& X154 = X163 )
& ? [X162] :
( rpoint(X162)
& X155 = X162 )
& ? [X161] :
( rpoint(X161)
& X156 = X161 )
& ? [X160] :
( rpoint(X160)
& X157 = X160 )
& ? [X159] :
( rpoint(X159)
& X158 = X159 )
& vf(X153,X154) = vf(X156,X157)
& vf(X154,X155) = vf(X157,X158)
& vf(X155,X153) = vf(X158,X156)
& vangle(X153,X154,X155) = vangle(X156,X157,X158)
& vangle(X154,X155,X153) = vangle(X157,X158,X156)
& vangle(X155,X153,X154) = vangle(X158,X156,X157) )
=> vg(X153,X154,X155) = vg(X156,X157,X158) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(178), 0), imp(cond(axiom(178), 0)))') ).
fof(f2958,plain,
spl51_205,
inference(avatar_split_clause,[],[f767,f2956]) ).
fof(f2956,plain,
( spl51_205
<=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X15,X5,X12,X13] :
( vf(X11,X12) = vf(sK48(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK49(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,[spl51_205])]) ).
fof(f767,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X15,X5,X12,X13] :
( vf(X11,X12) = vf(sK48(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK49(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,[],[f531]) ).
fof(f2954,plain,
spl51_204,
inference(avatar_split_clause,[],[f766,f2952]) ).
fof(f2952,plain,
( spl51_204
<=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X15,X5,X12,X13] :
( vf(X12,X13) = vf(sK49(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK50(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,[spl51_204])]) ).
fof(f766,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X15,X5,X12,X13] :
( vf(X12,X13) = vf(sK49(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK50(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,[],[f531]) ).
fof(f2950,plain,
spl51_203,
inference(avatar_split_clause,[],[f765,f2948]) ).
fof(f2948,plain,
( spl51_203
<=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X15,X5,X12,X13] :
( vf(X11,X13) = vf(sK48(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK50(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,[spl51_203])]) ).
fof(f765,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X15,X5,X12,X13] :
( vf(X11,X13) = vf(sK48(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16),sK50(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,[],[f531]) ).
fof(f2946,plain,
( spl51_202
| ~ spl51_26
| ~ spl51_176 ),
inference(avatar_split_clause,[],[f2759,f2673,f1533,f2944]) ).
fof(f2944,plain,
( spl51_202
<=> ! [X0] :
( ~ ron(vd1058,X0)
| ~ rpoint(sK12(X0))
| rintersect(sK5,X0)
| ~ ron(sK12(X0),sK5)
| ~ rcircle(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_202])]) ).
fof(f2673,plain,
( spl51_176
<=> ! [X0,X1] :
( ~ rpoint(X0)
| ~ ron(vd1058,X1)
| ~ rinside(X0,X1)
| rintersect(sK5,X1)
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_176])]) ).
fof(f2759,plain,
( ! [X0] :
( ~ ron(vd1058,X0)
| ~ rpoint(sK12(X0))
| rintersect(sK5,X0)
| ~ ron(sK12(X0),sK5)
| ~ rcircle(X0) )
| ~ spl51_26
| ~ spl51_176 ),
inference(resolution,[],[f2674,f1534]) ).
fof(f2674,plain,
( ! [X0,X1] :
( ~ rinside(X0,X1)
| ~ ron(vd1058,X1)
| ~ rpoint(X0)
| rintersect(sK5,X1)
| ~ ron(X0,sK5) )
| ~ spl51_176 ),
inference(avatar_component_clause,[],[f2673]) ).
fof(f2942,plain,
spl51_201,
inference(avatar_split_clause,[],[f763,f2940]) ).
fof(f2940,plain,
( spl51_201
<=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X15,X5,X12,X13] :
( ~ rR(X10,sK49(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,[spl51_201])]) ).
fof(f763,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X15,X5,X12,X13] :
( ~ rR(X10,sK49(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,[],[f531]) ).
fof(f2938,plain,
spl51_200,
inference(avatar_split_clause,[],[f762,f2936]) ).
fof(f2936,plain,
( spl51_200
<=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X15,X5,X12,X13] :
( rS(sK50(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,[spl51_200])]) ).
fof(f762,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X15,X5,X12,X13] :
( rS(sK50(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,[],[f531]) ).
fof(f2933,plain,
spl51_199,
inference(avatar_split_clause,[],[f771,f2931]) ).
fof(f2931,plain,
( spl51_199
<=> ! [X7,X2,X3,X10,X0,X11,X1,X8,X6,X9,X16,X14,X4,X15,X5,X12,X13] :
( sK48(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,[spl51_199])]) ).
fof(f771,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X15,X5,X12,X13] :
( sK48(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,[],[f531]) ).
fof(f2929,plain,
spl51_198,
inference(avatar_split_clause,[],[f764,f2927]) ).
fof(f764,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X15,X5,X12,X13] :
( ron(sK49(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,[],[f531]) ).
fof(f2904,plain,
spl51_197,
inference(avatar_split_clause,[],[f774,f2902]) ).
fof(f774,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X15,X5,X12,X13] :
( rpoint(sK48(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,[],[f531]) ).
fof(f2900,plain,
spl51_196,
inference(avatar_split_clause,[],[f773,f2898]) ).
fof(f773,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X15,X5,X12,X13] :
( rpoint(sK49(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,[],[f531]) ).
fof(f2896,plain,
spl51_195,
inference(avatar_split_clause,[],[f772,f2894]) ).
fof(f772,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X15,X5,X12,X13] :
( rpoint(sK50(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,[],[f531]) ).
fof(f2891,plain,
spl51_194,
inference(avatar_split_clause,[],[f775,f2889]) ).
fof(f775,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,[],[f531]) ).
fof(f2875,plain,
spl51_193,
inference(avatar_split_clause,[],[f1112,f2873]) ).
fof(f1112,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,[],[f1111]) ).
fof(f1111,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,[],[f694]) ).
fof(f694,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,[],[f346]) ).
fof(f346,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,[],[f345]) ).
fof(f345,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,[],[f178]) ).
fof(f178,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,[],[f10]) ).
fof(f10,axiom,
! [X12,X13,X14,X15,X16] :
( ( ? [X18] :
( rpoint(X18)
& X12 = X18 )
& ? [X17] :
( rpoint(X17)
& X13 = X17 )
& rcenter(X14,X15)
& rcenter(X14,X16)
& ron(X12,X15)
& ron(X13,X16)
& vf(X14,X12) = vf(X14,X13) )
=> X15 = X16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(182), 0), imp(cond(axiom(182), 0)))') ).
fof(f2871,plain,
( spl51_192
| ~ spl51_10
| ~ spl51_1
| ~ spl51_61
| ~ spl51_186 ),
inference(avatar_split_clause,[],[f2810,f2788,f1704,f1418,f1463,f2868]) ).
fof(f2788,plain,
( spl51_186
<=> rintersect(sK5,vskolem1061) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_186])]) ).
fof(f2810,plain,
( ~ rcircle(sK5)
| ~ rcircle(vskolem1061)
| sP0(sK5,vskolem1061)
| ~ spl51_61
| ~ spl51_186 ),
inference(resolution,[],[f2790,f1705]) ).
fof(f2790,plain,
( rintersect(sK5,vskolem1061)
| ~ spl51_186 ),
inference(avatar_component_clause,[],[f2788]) ).
fof(f2866,plain,
spl51_191,
inference(avatar_split_clause,[],[f904,f2864]) ).
fof(f904,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,[],[f903]) ).
fof(f903,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,[],[f902]) ).
fof(f902,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,[],[f901]) ).
fof(f901,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,[],[f611]) ).
fof(f611,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,[],[f266]) ).
fof(f266,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,[],[f265]) ).
fof(f265,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,[],[f137]) ).
fof(f137,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,[],[f45]) ).
fof(f45,axiom,
! [X260,X261,X262,X263] :
( ( ? [X267] :
( rpoint(X267)
& X260 = X267 )
& ? [X266] :
( rpoint(X266)
& X261 = X266 )
& ? [X265] :
( rcircle(X265)
& X262 = X265 )
& ? [X264] :
( rcircle(X264)
& X263 = X264 )
& ron(X260,X262)
& ( rinside(X261,X262)
| ron(X261,X262) )
& rinside(X260,X263)
& ~ ron(X261,X263)
& ~ rinside(X261,X263) )
=> rintersect(X262,X263) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(133), 0), imp(cond(axiom(133), 0)))') ).
fof(f2862,plain,
spl51_190,
inference(avatar_split_clause,[],[f900,f2860]) ).
fof(f900,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,[],[f899]) ).
fof(f899,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,[],[f898]) ).
fof(f898,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,[],[f897]) ).
fof(f897,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,[],[f612]) ).
fof(f612,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,[],[f266]) ).
fof(f2837,plain,
( spl51_184
| spl51_189 ),
inference(avatar_split_clause,[],[f1017,f2835,f2705]) ).
fof(f2705,plain,
( spl51_184
<=> ! [X8] : ~ rcircle(X8) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_184])]) ).
fof(f1017,plain,
! [X8,X6,X7,X5] :
( rintersect(sK34(X7),X7)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rcircle(X7)
| ~ rcircle(X8)
| ~ ron(X5,X7)
| ~ ron(X6,X7)
| rS(X5,X6,sK35(X5,X6)) ),
inference(equality_resolution,[],[f1016]) ).
fof(f1016,plain,
! [X3,X8,X6,X7,X5] :
( rintersect(sK34(X7),X7)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rcircle(X7)
| ~ rcircle(X8)
| X3 != X8
| ~ ron(X5,X7)
| ~ ron(X6,X7)
| rS(X5,X6,sK35(X5,X6)) ),
inference(equality_resolution,[],[f1015]) ).
fof(f1015,plain,
! [X2,X3,X8,X6,X7,X5] :
( rintersect(sK34(X2),X2)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rcircle(X7)
| X2 != X7
| ~ rcircle(X8)
| X3 != X8
| ~ ron(X5,X2)
| ~ ron(X6,X2)
| rS(X5,X6,sK35(X5,X6)) ),
inference(equality_resolution,[],[f1014]) ).
fof(f1014,plain,
! [X2,X3,X1,X8,X6,X7,X5] :
( rintersect(sK34(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,sK35(X5,X1)) ),
inference(equality_resolution,[],[f662]) ).
fof(f662,plain,
! [X2,X3,X0,X1,X8,X6,X7,X5] :
( rintersect(sK34(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,sK35(X0,X1)) ),
inference(cnf_transformation,[],[f485]) ).
fof(f485,plain,
! [X0,X1,X2,X3] :
( rintersect(sK34(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,sK35(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK34,sK35])],[f482,f484,f483]) ).
fof(f483,plain,
! [X2] :
( ? [X4] : rintersect(X4,X2)
=> rintersect(sK34(X2),X2) ),
introduced(choice_axiom,[]) ).
fof(f484,plain,
! [X0,X1] :
( ? [X9] : rS(X0,X1,X9)
=> rS(X0,X1,sK35(X0,X1)) ),
introduced(choice_axiom,[]) ).
fof(f482,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,[],[f316]) ).
fof(f316,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,[],[f315]) ).
fof(f315,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,[],[f163]) ).
fof(f163,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,[],[f47]) ).
fof(f47,axiom,
! [X274,X275,X276,X277] :
( ( ? [X282] :
( rpoint(X282)
& X274 = X282 )
& ? [X281] :
( rpoint(X281)
& X275 = X281 )
& ? [X280] :
( rcircle(X280)
& X276 = X280 )
& ? [X279] :
( rcircle(X279)
& X277 = X279 )
& ( rinside(X274,X276)
| ron(X274,X276) )
& ( rinside(X275,X276)
| ron(X275,X276) )
& ~ ? [X278] : rS(X274,X275,X278) )
=> ? [X283] : rintersect(X283,X276) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(129), 0), imp(cond(axiom(129), 0)))') ).
fof(f2828,plain,
( spl51_184
| spl51_188 ),
inference(avatar_split_clause,[],[f1013,f2826,f2705]) ).
fof(f1013,plain,
! [X8,X6,X7,X5] :
( rintersect(sK34(X7),X7)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rcircle(X7)
| ~ rcircle(X8)
| ~ ron(X5,X7)
| ~ rinside(X6,X7)
| rS(X5,X6,sK35(X5,X6)) ),
inference(equality_resolution,[],[f1012]) ).
fof(f1012,plain,
! [X3,X8,X6,X7,X5] :
( rintersect(sK34(X7),X7)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rcircle(X7)
| ~ rcircle(X8)
| X3 != X8
| ~ ron(X5,X7)
| ~ rinside(X6,X7)
| rS(X5,X6,sK35(X5,X6)) ),
inference(equality_resolution,[],[f1011]) ).
fof(f1011,plain,
! [X2,X3,X8,X6,X7,X5] :
( rintersect(sK34(X2),X2)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rcircle(X7)
| X2 != X7
| ~ rcircle(X8)
| X3 != X8
| ~ ron(X5,X2)
| ~ rinside(X6,X2)
| rS(X5,X6,sK35(X5,X6)) ),
inference(equality_resolution,[],[f1010]) ).
fof(f1010,plain,
! [X2,X3,X1,X8,X6,X7,X5] :
( rintersect(sK34(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,sK35(X5,X1)) ),
inference(equality_resolution,[],[f663]) ).
fof(f663,plain,
! [X2,X3,X0,X1,X8,X6,X7,X5] :
( rintersect(sK34(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,sK35(X0,X1)) ),
inference(cnf_transformation,[],[f485]) ).
fof(f2819,plain,
( spl51_184
| spl51_187 ),
inference(avatar_split_clause,[],[f1009,f2817,f2705]) ).
fof(f1009,plain,
! [X8,X6,X7,X5] :
( rintersect(sK34(X7),X7)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rcircle(X7)
| ~ rcircle(X8)
| ~ rinside(X5,X7)
| ~ ron(X6,X7)
| rS(X5,X6,sK35(X5,X6)) ),
inference(equality_resolution,[],[f1008]) ).
fof(f1008,plain,
! [X3,X8,X6,X7,X5] :
( rintersect(sK34(X7),X7)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rcircle(X7)
| ~ rcircle(X8)
| X3 != X8
| ~ rinside(X5,X7)
| ~ ron(X6,X7)
| rS(X5,X6,sK35(X5,X6)) ),
inference(equality_resolution,[],[f1007]) ).
fof(f1007,plain,
! [X2,X3,X8,X6,X7,X5] :
( rintersect(sK34(X2),X2)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rcircle(X7)
| X2 != X7
| ~ rcircle(X8)
| X3 != X8
| ~ rinside(X5,X2)
| ~ ron(X6,X2)
| rS(X5,X6,sK35(X5,X6)) ),
inference(equality_resolution,[],[f1006]) ).
fof(f1006,plain,
! [X2,X3,X1,X8,X6,X7,X5] :
( rintersect(sK34(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,sK35(X5,X1)) ),
inference(equality_resolution,[],[f664]) ).
fof(f664,plain,
! [X2,X3,X0,X1,X8,X6,X7,X5] :
( rintersect(sK34(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,sK35(X0,X1)) ),
inference(cnf_transformation,[],[f485]) ).
fof(f2791,plain,
( ~ spl51_4
| spl51_186
| ~ spl51_8
| ~ spl51_15
| ~ spl51_53
| ~ spl51_176 ),
inference(avatar_split_clause,[],[f2756,f2673,f1660,f1488,f1453,f2788,f1433]) ).
fof(f1660,plain,
( spl51_53
<=> rinside(vd1056,vskolem1061) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_53])]) ).
fof(f2756,plain,
( ~ ron(vd1058,vskolem1061)
| ~ rpoint(vd1056)
| rintersect(sK5,vskolem1061)
| ~ ron(vd1056,sK5)
| ~ spl51_53
| ~ spl51_176 ),
inference(resolution,[],[f2674,f1662]) ).
fof(f1662,plain,
( rinside(vd1056,vskolem1061)
| ~ spl51_53 ),
inference(avatar_component_clause,[],[f1660]) ).
fof(f2717,plain,
( ~ spl51_9
| ~ spl51_184 ),
inference(avatar_contradiction_clause,[],[f2711]) ).
fof(f2711,plain,
( $false
| ~ spl51_9
| ~ spl51_184 ),
inference(resolution,[],[f2706,f1460]) ).
fof(f2706,plain,
( ! [X8] : ~ rcircle(X8)
| ~ spl51_184 ),
inference(avatar_component_clause,[],[f2705]) ).
fof(f2716,plain,
( ~ spl51_10
| ~ spl51_184 ),
inference(avatar_contradiction_clause,[],[f2712]) ).
fof(f2712,plain,
( $false
| ~ spl51_10
| ~ spl51_184 ),
inference(resolution,[],[f2706,f1465]) ).
fof(f2715,plain,
( ~ spl51_1
| ~ spl51_184 ),
inference(avatar_contradiction_clause,[],[f2713]) ).
fof(f2713,plain,
( $false
| ~ spl51_1
| ~ spl51_184 ),
inference(resolution,[],[f2706,f1420]) ).
fof(f2710,plain,
( spl51_184
| spl51_185 ),
inference(avatar_split_clause,[],[f1005,f2708,f2705]) ).
fof(f1005,plain,
! [X8,X6,X7,X5] :
( rintersect(sK34(X7),X7)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rcircle(X7)
| ~ rcircle(X8)
| ~ rinside(X5,X7)
| ~ rinside(X6,X7)
| rS(X5,X6,sK35(X5,X6)) ),
inference(equality_resolution,[],[f1004]) ).
fof(f1004,plain,
! [X3,X8,X6,X7,X5] :
( rintersect(sK34(X7),X7)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rcircle(X7)
| ~ rcircle(X8)
| X3 != X8
| ~ rinside(X5,X7)
| ~ rinside(X6,X7)
| rS(X5,X6,sK35(X5,X6)) ),
inference(equality_resolution,[],[f1003]) ).
fof(f1003,plain,
! [X2,X3,X8,X6,X7,X5] :
( rintersect(sK34(X2),X2)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rcircle(X7)
| X2 != X7
| ~ rcircle(X8)
| X3 != X8
| ~ rinside(X5,X2)
| ~ rinside(X6,X2)
| rS(X5,X6,sK35(X5,X6)) ),
inference(equality_resolution,[],[f1002]) ).
fof(f1002,plain,
! [X2,X3,X1,X8,X6,X7,X5] :
( rintersect(sK34(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,sK35(X5,X1)) ),
inference(equality_resolution,[],[f665]) ).
fof(f665,plain,
! [X2,X3,X0,X1,X8,X6,X7,X5] :
( rintersect(sK34(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,sK35(X0,X1)) ),
inference(cnf_transformation,[],[f485]) ).
fof(f2702,plain,
( spl51_182
| spl51_183 ),
inference(avatar_split_clause,[],[f1280,f2700,f2697]) ).
fof(f2700,plain,
( spl51_183
<=> ! [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,[spl51_183])]) ).
fof(f1280,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,[],[f1279]) ).
fof(f1279,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,[],[f1278]) ).
fof(f1278,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,[],[f1277]) ).
fof(f1277,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,[],[f1276]) ).
fof(f1276,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,[],[f739]) ).
fof(f739,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,[],[f386]) ).
fof(f2695,plain,
spl51_181,
inference(avatar_split_clause,[],[f1170,f2693]) ).
fof(f2693,plain,
( spl51_181
<=> ! [X7,X8,X5,X1] :
( rpoint(sK40(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,[spl51_181])]) ).
fof(f1170,plain,
! [X1,X8,X7,X5] :
( rpoint(sK40(X7,X8,X5))
| ~ rline(X1)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ ron(X7,X1)
| ~ ron(X8,X1)
| ~ rpoint(X5)
| ~ rR(X8,X7,X5) ),
inference(equality_resolution,[],[f1169]) ).
fof(f1169,plain,
! [X1,X8,X7,X4,X5] :
( rpoint(sK40(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,[],[f1168]) ).
fof(f1168,plain,
! [X3,X1,X8,X7,X4,X5] :
( rpoint(sK40(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,[],[f1167]) ).
fof(f1167,plain,
! [X2,X3,X1,X8,X7,X4,X5] :
( rpoint(sK40(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,[],[f709]) ).
fof(f709,plain,
! [X2,X3,X0,X1,X8,X7,X4,X5] :
( rpoint(sK40(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,[],[f505]) ).
fof(f2691,plain,
spl51_180,
inference(avatar_split_clause,[],[f1094,f2689]) ).
fof(f2689,plain,
( spl51_180
<=> ! [X7,X8,X6,X1] :
( rpoint(sK38(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,[spl51_180])]) ).
fof(f1094,plain,
! [X1,X8,X6,X7] :
( rpoint(sK38(X6,X7,X8))
| ~ rline(X1)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ ron(X6,X1)
| ~ ron(X7,X1)
| ~ rR(X8,X6,X7) ),
inference(equality_resolution,[],[f1093]) ).
fof(f1093,plain,
! [X1,X8,X6,X7,X4] :
( rpoint(sK38(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,[],[f1092]) ).
fof(f1092,plain,
! [X3,X1,X8,X6,X7,X4] :
( rpoint(sK38(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,[],[f1091]) ).
fof(f1091,plain,
! [X2,X3,X1,X8,X6,X7,X4] :
( rpoint(sK38(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,[],[f691]) ).
fof(f691,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4] :
( rpoint(sK38(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,[],[f496]) ).
fof(f2687,plain,
spl51_179,
inference(avatar_split_clause,[],[f1061,f2685]) ).
fof(f2685,plain,
( spl51_179
<=> ! [X7,X8,X6,X1] :
( sK37(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,[spl51_179])]) ).
fof(f1061,plain,
! [X1,X8,X6,X7] :
( sK37(X1,X6,X7) != X7
| ~ rline(X1)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ ron(X6,X1)
| ~ ron(X7,X1)
| ~ ron(X8,X1) ),
inference(equality_resolution,[],[f1060]) ).
fof(f1060,plain,
! [X1,X8,X6,X7,X4] :
( sK37(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,[],[f1059]) ).
fof(f1059,plain,
! [X3,X1,X8,X6,X7,X4] :
( sK37(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,[],[f1058]) ).
fof(f1058,plain,
! [X2,X3,X1,X8,X6,X7,X4] :
( sK37(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,[],[f678]) ).
fof(f678,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4] :
( sK37(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,[],[f493]) ).
fof(f493,plain,
! [X0,X1,X2,X3,X4] :
( ( rpoint(sK37(X0,X2,X3))
& ron(sK37(X0,X2,X3),X0)
& sK37(X0,X2,X3) != X2
& sK37(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,[sK37])],[f491,f492]) ).
fof(f492,plain,
! [X0,X2,X3] :
( ? [X5] :
( rpoint(X5)
& ron(X5,X0)
& X2 != X5
& X3 != X5 )
=> ( rpoint(sK37(X0,X2,X3))
& ron(sK37(X0,X2,X3),X0)
& sK37(X0,X2,X3) != X2
& sK37(X0,X2,X3) != X3 ) ),
introduced(choice_axiom,[]) ).
fof(f491,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,[],[f330]) ).
fof(f330,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,[],[f329]) ).
fof(f329,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,[],[f170]) ).
fof(f170,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,[],[f99]) ).
fof(f99,axiom,
! [X668,X669,X670,X671,X672] :
( ( rline(X669)
& X668 = X669
& ? [X675] :
( rpoint(X675)
& X670 = X675 )
& ? [X674] :
( rpoint(X674)
& X671 = X674 )
& ? [X673] :
( rpoint(X673)
& X672 = X673 )
& ron(X670,X668)
& ron(X671,X668)
& ron(X672,X668) )
=> ? [X676] :
( rpoint(X676)
& ron(X676,X668)
& X670 != X676
& X671 != X676 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(21), 0), imp(cond(axiom(21), 0)))') ).
fof(f2683,plain,
spl51_178,
inference(avatar_split_clause,[],[f1057,f2681]) ).
fof(f2681,plain,
( spl51_178
<=> ! [X7,X8,X6,X1] :
( sK37(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,[spl51_178])]) ).
fof(f1057,plain,
! [X1,X8,X6,X7] :
( sK37(X1,X6,X7) != X6
| ~ rline(X1)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ ron(X6,X1)
| ~ ron(X7,X1)
| ~ ron(X8,X1) ),
inference(equality_resolution,[],[f1056]) ).
fof(f1056,plain,
! [X1,X8,X6,X7,X4] :
( sK37(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,[],[f1055]) ).
fof(f1055,plain,
! [X3,X1,X8,X6,X7,X4] :
( sK37(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,[],[f1054]) ).
fof(f1054,plain,
! [X2,X3,X1,X8,X6,X7,X4] :
( sK37(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,[],[f679]) ).
fof(f679,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4] :
( sK37(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,[],[f493]) ).
fof(f2679,plain,
spl51_177,
inference(avatar_split_clause,[],[f1053,f2677]) ).
fof(f1053,plain,
! [X1,X8,X6,X7] :
( ron(sK37(X1,X6,X7),X1)
| ~ rline(X1)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ ron(X6,X1)
| ~ ron(X7,X1)
| ~ ron(X8,X1) ),
inference(equality_resolution,[],[f1052]) ).
fof(f1052,plain,
! [X1,X8,X6,X7,X4] :
( ron(sK37(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,[],[f1051]) ).
fof(f1051,plain,
! [X3,X1,X8,X6,X7,X4] :
( ron(sK37(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,[],[f1050]) ).
fof(f1050,plain,
! [X2,X3,X1,X8,X6,X7,X4] :
( ron(sK37(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,[],[f680]) ).
fof(f680,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4] :
( ron(sK37(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,[],[f493]) ).
fof(f2675,plain,
( ~ spl51_7
| spl51_176
| ~ spl51_29
| ~ spl51_147 ),
inference(avatar_split_clause,[],[f2387,f2292,f1548,f2673,f1448]) ).
fof(f2387,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(vd1058)
| ~ ron(X0,sK5)
| rintersect(sK5,X1)
| ~ rinside(X0,X1)
| ~ ron(vd1058,X1) )
| ~ spl51_29
| ~ spl51_147 ),
inference(resolution,[],[f2293,f1550]) ).
fof(f2636,plain,
spl51_175,
inference(avatar_split_clause,[],[f1049,f2634]) ).
fof(f1049,plain,
! [X1,X8,X6,X7] :
( rpoint(sK37(X1,X6,X7))
| ~ rline(X1)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ ron(X6,X1)
| ~ ron(X7,X1)
| ~ ron(X8,X1) ),
inference(equality_resolution,[],[f1048]) ).
fof(f1048,plain,
! [X1,X8,X6,X7,X4] :
( rpoint(sK37(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,[],[f1047]) ).
fof(f1047,plain,
! [X3,X1,X8,X6,X7,X4] :
( rpoint(sK37(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,[],[f1046]) ).
fof(f1046,plain,
! [X2,X3,X1,X8,X6,X7,X4] :
( rpoint(sK37(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,[],[f681]) ).
fof(f681,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4] :
( rpoint(sK37(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,[],[f493]) ).
fof(f2632,plain,
spl51_174,
inference(avatar_split_clause,[],[f1025,f2630]) ).
fof(f2630,plain,
( spl51_174
<=> ! [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,[spl51_174])]) ).
fof(f1025,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,[],[f1024]) ).
fof(f1024,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,[],[f1023]) ).
fof(f1023,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,[],[f1022]) ).
fof(f1022,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,[],[f672]) ).
fof(f672,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,[],[f320]) ).
fof(f320,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,[],[f319]) ).
fof(f319,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,[],[f165]) ).
fof(f165,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,[],[f58]) ).
fof(f58,axiom,
! [X393,X394,X395,X396,X397] :
( ( ? [X400] :
( rpoint(X400)
& X393 = X400 )
& ? [X399] :
( rpoint(X399)
& X394 = X399 )
& ? [X398] :
( rpoint(X398)
& X395 = X398 )
& rline(X397)
& X396 = X397
& rR(X394,X393,X395)
& ron(X393,X396)
& ~ ron(X394,X396) )
=> rS(X394,X395,X396) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(107), 0), imp(cond(axiom(107), 0)))') ).
fof(f2496,plain,
spl51_173,
inference(avatar_split_clause,[],[f1154,f2494]) ).
fof(f1154,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,[],[f1153]) ).
fof(f1153,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,[],[f1152]) ).
fof(f1152,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,[],[f1151]) ).
fof(f1151,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,[],[f702]) ).
fof(f702,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,[],[f354]) ).
fof(f354,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,[],[f353]) ).
fof(f353,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,[],[f183]) ).
fof(f183,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,[],[f48]) ).
fof(f48,axiom,
! [X284,X285,X286,X287,X288,X289] :
( ( ? [X291] :
( rpoint(X291)
& X284 = X291 )
& ? [X290] :
( rpoint(X290)
& X285 = X290 )
& rline(X287)
& ~ rS(X284,X285,X286)
& rline(X289)
& ron(X284,X288)
& ron(X285,X288)
& X288 = X289
& X286 = X287 )
=> rintersect(X286,X288) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(127), 0), imp(cond(axiom(127), 0)))') ).
fof(f2492,plain,
spl51_172,
inference(avatar_split_clause,[],[f1082,f2490]) ).
fof(f2490,plain,
( spl51_172
<=> ! [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,[spl51_172])]) ).
fof(f1082,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,[],[f1081]) ).
fof(f1081,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,[],[f1080]) ).
fof(f1080,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,[],[f1079]) ).
fof(f1079,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,[],[f687]) ).
fof(f687,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,[],[f338]) ).
fof(f338,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,[],[f337]) ).
fof(f337,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,[],[f174]) ).
fof(f174,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,[],[f50]) ).
fof(f50,axiom,
! [X304,X305,X306,X307,X308] :
( ( ? [X311] :
( rpoint(X311)
& X304 = X311 )
& ? [X310] :
( rpoint(X310)
& X305 = X310 )
& ? [X309] :
( rpoint(X309)
& X306 = X309 )
& rcircle(X308)
& X307 = X308
& ( rinside(X304,X307)
| ron(X304,X307) )
& ~ rinside(X306,X307)
& rR(X306,X304,X305) )
=> ( ~ ron(X305,X307)
& ~ ron(X305,X307) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(123), 0), imp(cond(axiom(123), 0)))') ).
fof(f2488,plain,
spl51_171,
inference(avatar_split_clause,[],[f1078,f2486]) ).
fof(f2486,plain,
( spl51_171
<=> ! [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,[spl51_171])]) ).
fof(f1078,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,[],[f1077]) ).
fof(f1077,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,[],[f1076]) ).
fof(f1076,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,[],[f1075]) ).
fof(f1075,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,[],[f688]) ).
fof(f688,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,[],[f338]) ).
fof(f2484,plain,
spl51_170,
inference(avatar_split_clause,[],[f1037,f2482]) ).
fof(f2482,plain,
( spl51_170
<=> ! [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,[spl51_170])]) ).
fof(f1037,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,[],[f1036]) ).
fof(f1036,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,[],[f1035]) ).
fof(f1035,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,[],[f1034]) ).
fof(f1034,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,[],[f675]) ).
fof(f675,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,[],[f326]) ).
fof(f326,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,[],[f325]) ).
fof(f325,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,[],[f168]) ).
fof(f168,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,[],[f70]) ).
fof(f70,axiom,
! [X481,X482,X483,X484,X485] :
( ( ? [X488] :
( rpoint(X488)
& X481 = X488 )
& ? [X487] :
( rpoint(X487)
& X482 = X487 )
& ? [X486] :
( rpoint(X486)
& X483 = X486 )
& rline(X485)
& rR(X482,X481,X483)
& ron(X481,X484)
& ron(X482,X484)
& X484 = X485 )
=> ron(X483,X484) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(83), 0), imp(cond(axiom(83), 0)))') ).
fof(f2480,plain,
spl51_169,
inference(avatar_split_clause,[],[f1033,f2478]) ).
fof(f2478,plain,
( spl51_169
<=> ! [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,[spl51_169])]) ).
fof(f1033,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,[],[f1032]) ).
fof(f1032,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,[],[f1031]) ).
fof(f1031,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,[],[f1030]) ).
fof(f1030,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,[],[f674]) ).
fof(f674,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,[],[f324]) ).
fof(f324,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,[],[f323]) ).
fof(f323,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,[],[f167]) ).
fof(f167,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,[],[f69]) ).
fof(f69,axiom,
! [X473,X474,X475,X476,X477] :
( ( ? [X480] :
( rpoint(X480)
& X473 = X480 )
& ? [X479] :
( rpoint(X479)
& X474 = X479 )
& ? [X478] :
( rpoint(X478)
& X475 = X478 )
& rline(X477)
& rR(X474,X473,X475)
& ron(X473,X476)
& ron(X475,X476)
& X476 = X477 )
=> ron(X474,X476) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(85), 0), imp(cond(axiom(85), 0)))') ).
fof(f2476,plain,
spl51_168,
inference(avatar_split_clause,[],[f896,f2474]) ).
fof(f896,plain,
! [X1,X6,X5] :
( rR(sK22(X5,X6),X5,X6)
| ~ rline(X1)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ ron(X5,X1)
| ~ ron(X6,X1)
| X5 = X6 ),
inference(equality_resolution,[],[f895]) ).
fof(f895,plain,
! [X3,X1,X6,X5] :
( rR(sK22(X5,X3),X5,X3)
| ~ rline(X1)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X3 != X6
| ~ ron(X5,X1)
| ~ ron(X3,X1)
| X3 = X5 ),
inference(equality_resolution,[],[f894]) ).
fof(f894,plain,
! [X2,X3,X1,X6,X5] :
( rR(sK22(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,[],[f609]) ).
fof(f609,plain,
! [X2,X3,X0,X1,X6,X5] :
( rR(sK22(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,[],[f457]) ).
fof(f457,plain,
! [X0,X1,X2,X3] :
( ( rpoint(sK22(X2,X3))
& rR(sK22(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,[sK22])],[f455,f456]) ).
fof(f456,plain,
! [X2,X3] :
( ? [X4] :
( rpoint(X4)
& rR(X4,X2,X3) )
=> ( rpoint(sK22(X2,X3))
& rR(sK22(X2,X3),X2,X3) ) ),
introduced(choice_axiom,[]) ).
fof(f455,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,[],[f264]) ).
fof(f264,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,[],[f263]) ).
fof(f263,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,[],[f136]) ).
fof(f136,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,[],[f98]) ).
fof(f98,axiom,
! [X661,X662,X663,X664] :
( ( rline(X662)
& X661 = X662
& ? [X666] :
( rpoint(X666)
& X663 = X666 )
& ? [X665] :
( rpoint(X665)
& X664 = X665 )
& ron(X663,X661)
& ron(X664,X661)
& X663 != X664 )
=> ? [X667] :
( rpoint(X667)
& rR(X667,X663,X664) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(23), 0), imp(cond(axiom(23), 0)))') ).
fof(f2472,plain,
spl51_167,
inference(avatar_split_clause,[],[f890,f2470]) ).
fof(f890,plain,
! [X1,X6,X5] :
( rR(X6,X5,sK21(X5,X6))
| ~ rline(X1)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ ron(X5,X1)
| ~ ron(X6,X1)
| X5 = X6 ),
inference(equality_resolution,[],[f889]) ).
fof(f889,plain,
! [X3,X1,X6,X5] :
( rR(X3,X5,sK21(X5,X3))
| ~ rline(X1)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X3 != X6
| ~ ron(X5,X1)
| ~ ron(X3,X1)
| X3 = X5 ),
inference(equality_resolution,[],[f888]) ).
fof(f888,plain,
! [X2,X3,X1,X6,X5] :
( rR(X3,X2,sK21(X2,X3))
| ~ rline(X1)
| ~ rpoint(X5)
| X2 != X5
| ~ rpoint(X6)
| X3 != X6
| ~ ron(X2,X1)
| ~ ron(X3,X1)
| X2 = X3 ),
inference(equality_resolution,[],[f607]) ).
fof(f607,plain,
! [X2,X3,X0,X1,X6,X5] :
( rR(X3,X2,sK21(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,[],[f454]) ).
fof(f454,plain,
! [X0,X1,X2,X3] :
( ( rpoint(sK21(X2,X3))
& rR(X3,X2,sK21(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,[sK21])],[f452,f453]) ).
fof(f453,plain,
! [X2,X3] :
( ? [X4] :
( rpoint(X4)
& rR(X3,X2,X4) )
=> ( rpoint(sK21(X2,X3))
& rR(X3,X2,sK21(X2,X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f452,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,[],[f262]) ).
fof(f262,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,[],[f261]) ).
fof(f261,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,[],[f135]) ).
fof(f135,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,[],[f95]) ).
fof(f95,axiom,
! [X634,X635,X636,X637] :
( ( rline(X635)
& X634 = X635
& ? [X639] :
( rpoint(X639)
& X636 = X639 )
& ? [X638] :
( rpoint(X638)
& X637 = X638 )
& ron(X636,X634)
& ron(X637,X634)
& X636 != X637 )
=> ? [X640] :
( rpoint(X640)
& rR(X637,X636,X640) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(29), 0), imp(cond(axiom(29), 0)))') ).
fof(f2468,plain,
( ~ spl51_8
| spl51_165
| ~ spl51_166
| ~ spl51_4
| ~ spl51_145 ),
inference(avatar_split_clause,[],[f2320,f2284,f1433,f2465,f2462,f1453]) ).
fof(f2462,plain,
( spl51_165
<=> ! [X0] :
( ~ rpoint(X0)
| vd1056 = X0
| rpoint(sK21(X0,vd1056))
| ~ ron(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_165])]) ).
fof(f2465,plain,
( spl51_166
<=> rline(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_166])]) ).
fof(f2320,plain,
( ! [X0] :
( ~ rline(sK5)
| ~ rpoint(X0)
| ~ rpoint(vd1056)
| ~ ron(X0,sK5)
| rpoint(sK21(X0,vd1056))
| vd1056 = X0 )
| ~ spl51_4
| ~ spl51_145 ),
inference(resolution,[],[f2285,f1435]) ).
fof(f2460,plain,
spl51_164,
inference(avatar_split_clause,[],[f846,f2458]) ).
fof(f2458,plain,
( spl51_164
<=> ! [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,[spl51_164])]) ).
fof(f846,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,[],[f845]) ).
fof(f845,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,[],[f844]) ).
fof(f844,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,[],[f594]) ).
fof(f594,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,[],[f252]) ).
fof(f252,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,[],[f251]) ).
fof(f251,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,[],[f129]) ).
fof(f129,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,[],[f21]) ).
fof(f21,axiom,
! [X147,X148,X149] :
( ( ? [X152] :
( rpoint(X152)
& X147 = X152 )
& ? [X151] :
( rpoint(X151)
& X148 = X151 )
& ? [X150] :
( rpoint(X150)
& X149 = X150 )
& rR(X148,X147,X149) )
=> vplus(vf(X147,X148),vf(X148,X149)) = vf(X147,X149) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(180), 0), imp(cond(axiom(180), 0)))') ).
fof(f2456,plain,
spl51_163,
inference(avatar_split_clause,[],[f843,f2454]) ).
fof(f843,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,[],[f842]) ).
fof(f842,plain,
! [X2,X3,X4,X5] :
( vangle(X3,X4,X2) = vangle(X2,X4,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X2 != X5
| X3 = X4
| X2 = X3 ),
inference(equality_resolution,[],[f841]) ).
fof(f841,plain,
! [X2,X3,X1,X4,X5] :
( vangle(X3,X1,X2) = vangle(X2,X1,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X5)
| X2 != X5
| X1 = X3
| X2 = X3 ),
inference(equality_resolution,[],[f593]) ).
fof(f593,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,[],[f250]) ).
fof(f250,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,[],[f249]) ).
fof(f249,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,[],[f128]) ).
fof(f128,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,[],[f27]) ).
fof(f27,axiom,
! [X187,X188,X189] :
( ( ? [X192] :
( rpoint(X192)
& X187 = X192 )
& ? [X191] :
( rpoint(X191)
& X188 = X191 )
& ? [X190] :
( rpoint(X190)
& X189 = X190 )
& X187 != X188
& X187 != X189 )
=> vangle(X187,X188,X189) = vangle(X189,X188,X187) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(168), 0), imp(cond(axiom(168), 0)))') ).
fof(f2429,plain,
spl51_162,
inference(avatar_split_clause,[],[f1188,f2427]) ).
fof(f2427,plain,
( spl51_162
<=> ! [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,[spl51_162])]) ).
fof(f1188,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,[],[f1187]) ).
fof(f1187,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,[],[f712]) ).
fof(f712,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,[],[f506]) ).
fof(f506,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,[],[f364]) ).
fof(f364,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,[],[f363]) ).
fof(f363,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,[],[f188]) ).
fof(f188,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,[],[f9]) ).
fof(f9,axiom,
! [X6,X7,X8,X9,X10,X11] :
( ( rpoint(X7)
& X6 = X7
& rcenter(X8,X9)
& rpoint(X11)
& X10 = X11
& ron(X10,X9) )
=> ( vf(X8,X6) = vf(X8,X10)
<=> ron(X6,X9) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(184), 0), imp(cond(axiom(184), 0)))') ).
fof(f2425,plain,
spl51_161,
inference(avatar_split_clause,[],[f1186,f2423]) ).
fof(f1186,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,[],[f1185]) ).
fof(f1185,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,[],[f713]) ).
fof(f713,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,[],[f506]) ).
fof(f2421,plain,
spl51_160,
inference(avatar_split_clause,[],[f1160,f2419]) ).
fof(f1160,plain,
! [X3,X1,X5] :
( rS(sK39(X1,X3,X5),X3,X1)
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X3,X1)
| ~ rpoint(X5)
| ~ rS(X5,X3,X1) ),
inference(equality_resolution,[],[f1159]) ).
fof(f1159,plain,
! [X2,X3,X1,X5] :
( rS(sK39(X1,X2,X5),X2,X1)
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X2,X1)
| ~ rpoint(X5)
| ~ rS(X5,X2,X1)
| X2 != X3 ),
inference(equality_resolution,[],[f1158]) ).
fof(f1158,plain,
! [X2,X3,X1,X4,X5] :
( rS(sK39(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,[],[f705]) ).
fof(f705,plain,
! [X2,X3,X0,X1,X4,X5] :
( rS(sK39(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,[],[f502]) ).
fof(f502,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( rpoint(sK39(X0,X2,X4))
& rS(sK39(X0,X2,X4),X2,X0)
& sK39(X0,X2,X4) != X2
& sK39(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,[sK39])],[f356,f501]) ).
fof(f501,plain,
! [X0,X2,X4] :
( ? [X6] :
( rpoint(X6)
& rS(X6,X2,X0)
& X2 != X6
& X4 != X6 )
=> ( rpoint(sK39(X0,X2,X4))
& rS(sK39(X0,X2,X4),X2,X0)
& sK39(X0,X2,X4) != X2
& sK39(X0,X2,X4) != X4 ) ),
introduced(choice_axiom,[]) ).
fof(f356,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,[],[f355]) ).
fof(f355,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,[],[f184]) ).
fof(f184,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,[],[f92]) ).
fof(f92,axiom,
! [X613,X614,X615,X616,X617,X618] :
( ( rline(X614)
& X613 = X614
& rpoint(X616)
& ~ ron(X615,X613)
& rpoint(X618)
& rS(X617,X615,X613)
& X617 = X618
& X615 = X616 )
=> ? [X619] :
( rpoint(X619)
& rS(X619,X615,X613)
& X615 != X619
& X617 != X619 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(35), 0), imp(cond(axiom(35), 0)))') ).
fof(f2417,plain,
spl51_159,
inference(avatar_split_clause,[],[f1110,f2415]) ).
fof(f1110,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,[],[f1109]) ).
fof(f1109,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,[],[f1108]) ).
fof(f1108,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,[],[f1107]) ).
fof(f1107,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,[],[f693]) ).
fof(f693,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,[],[f344]) ).
fof(f344,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,[],[f343]) ).
fof(f343,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,[],[f177]) ).
fof(f177,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,[],[f61]) ).
fof(f61,axiom,
! [X417,X418,X419,X420,X421] :
( ( ? [X424] :
( rpoint(X424)
& X417 = X424 )
& ? [X423] :
( rpoint(X423)
& X418 = X423 )
& ? [X422] :
( rpoint(X422)
& X419 = X422 )
& rline(X421)
& X420 = X421
& rS(X417,X418,X420)
& rS(X417,X419,X420) )
=> rS(X418,X419,X420) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(101), 0), imp(cond(axiom(101), 0)))') ).
fof(f2413,plain,
spl51_158,
inference(avatar_split_clause,[],[f1106,f2411]) ).
fof(f2411,plain,
( spl51_158
<=> ! [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,[spl51_158])]) ).
fof(f1106,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,[],[f1105]) ).
fof(f1105,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,[],[f1104]) ).
fof(f1104,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,[],[f1103]) ).
fof(f1103,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,[],[f692]) ).
fof(f692,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,[],[f342]) ).
fof(f342,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,[],[f341]) ).
fof(f341,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,[],[f176]) ).
fof(f176,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,[],[f59]) ).
fof(f59,axiom,
! [X401,X402,X403,X404,X405] :
( ( ? [X408] :
( rpoint(X408)
& X401 = X408 )
& ? [X407] :
( rpoint(X407)
& X402 = X407 )
& ? [X406] :
( rpoint(X406)
& X403 = X406 )
& rline(X405)
& X404 = X405
& rR(X402,X401,X403)
& rS(X401,X403,X404) )
=> rS(X401,X402,X404) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(105), 0), imp(cond(axiom(105), 0)))') ).
fof(f2409,plain,
spl51_157,
inference(avatar_split_clause,[],[f995,f2407]) ).
fof(f2407,plain,
( spl51_157
<=> ! [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,[spl51_157])]) ).
fof(f995,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,[],[f994]) ).
fof(f994,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,[],[f993]) ).
fof(f993,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,[],[f992]) ).
fof(f992,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,[],[f659]) ).
fof(f659,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,[],[f310]) ).
fof(f310,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,[],[f309]) ).
fof(f309,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,[],[f159]) ).
fof(f159,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,[],[f67]) ).
fof(f67,axiom,
! [X457,X458,X459,X460] :
( ( ? [X464] :
( rpoint(X464)
& X457 = X464 )
& ? [X463] :
( rpoint(X463)
& X458 = X463 )
& ? [X462] :
( rpoint(X462)
& X459 = X462 )
& ? [X461] :
( rpoint(X461)
& X460 = X461 )
& rR(X458,X457,X459)
& rR(X459,X458,X460) )
=> rR(X458,X457,X460) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(89), 0), imp(cond(axiom(89), 0)))') ).
fof(f2405,plain,
spl51_156,
inference(avatar_split_clause,[],[f991,f2403]) ).
fof(f2403,plain,
( spl51_156
<=> ! [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,[spl51_156])]) ).
fof(f991,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,[],[f990]) ).
fof(f990,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,[],[f989]) ).
fof(f989,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,[],[f988]) ).
fof(f988,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,[],[f658]) ).
fof(f658,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,[],[f308]) ).
fof(f308,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,[],[f307]) ).
fof(f307,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,[],[f158]) ).
fof(f158,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,[],[f68]) ).
fof(f68,axiom,
! [X465,X466,X467,X468] :
( ( ? [X472] :
( rpoint(X472)
& X465 = X472 )
& ? [X471] :
( rpoint(X471)
& X466 = X471 )
& ? [X470] :
( rpoint(X470)
& X467 = X470 )
& ? [X469] :
( rpoint(X469)
& X468 = X469 )
& rR(X466,X465,X467)
& rR(X468,X465,X466) )
=> rR(X468,X465,X467) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(87), 0), imp(cond(axiom(87), 0)))') ).
fof(f2401,plain,
spl51_155,
inference(avatar_split_clause,[],[f987,f2399]) ).
fof(f2399,plain,
( spl51_155
<=> ! [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,[spl51_155])]) ).
fof(f987,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,[],[f986]) ).
fof(f986,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,[],[f985]) ).
fof(f985,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,[],[f984]) ).
fof(f984,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,[],[f657]) ).
fof(f657,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,[],[f306]) ).
fof(f306,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,[],[f305]) ).
fof(f305,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,[],[f157]) ).
fof(f157,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,[],[f65]) ).
fof(f65,axiom,
! [X441,X442,X443,X444] :
( ( ? [X448] :
( rpoint(X448)
& X441 = X448 )
& ? [X447] :
( rpoint(X447)
& X442 = X447 )
& ? [X446] :
( rpoint(X446)
& X443 = X446 )
& ? [X445] :
( rpoint(X445)
& X444 = X445 )
& rR(X442,X441,X443)
& rR(X442,X441,X444) )
=> ~ rR(X442,X443,X444) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(93), 0), imp(cond(axiom(93), 0)))') ).
fof(f2397,plain,
spl51_154,
inference(avatar_split_clause,[],[f965,f2395]) ).
fof(f965,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,[],[f964]) ).
fof(f964,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,[],[f649]) ).
fof(f649,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,[],[f478]) ).
fof(f478,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,[],[f298]) ).
fof(f298,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,[],[f297]) ).
fof(f297,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,[],[f153]) ).
fof(f153,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,[],[f20]) ).
fof(f20,axiom,
! [X141,X142,X143,X144] :
( ( ? [X146] :
( rpoint(X146)
& X141 = X146 )
& ? [X145] :
( rpoint(X145)
& X142 = X145 )
& rcenter(X143,X144)
& ron(X142,X144) )
=> ( rless(vf(X143,X141),vf(X143,X142))
<=> rinside(X141,X144) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(186), 0), imp(cond(axiom(186), 0)))') ).
fof(f2393,plain,
spl51_153,
inference(avatar_split_clause,[],[f963,f2391]) ).
fof(f963,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,[],[f962]) ).
fof(f962,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,[],[f650]) ).
fof(f650,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,[],[f478]) ).
fof(f2315,plain,
spl51_152,
inference(avatar_split_clause,[],[f1166,f2313]) ).
fof(f2313,plain,
( spl51_152
<=> ! [X5,X1,X3] :
( sK39(X1,X3,X5) != X5
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X3,X1)
| ~ rpoint(X5)
| ~ rS(X5,X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_152])]) ).
fof(f1166,plain,
! [X3,X1,X5] :
( sK39(X1,X3,X5) != X5
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X3,X1)
| ~ rpoint(X5)
| ~ rS(X5,X3,X1) ),
inference(equality_resolution,[],[f1165]) ).
fof(f1165,plain,
! [X2,X3,X1,X5] :
( sK39(X1,X2,X5) != X5
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X2,X1)
| ~ rpoint(X5)
| ~ rS(X5,X2,X1)
| X2 != X3 ),
inference(equality_resolution,[],[f1164]) ).
fof(f1164,plain,
! [X2,X3,X1,X4,X5] :
( sK39(X1,X2,X4) != X4
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X2,X1)
| ~ rpoint(X5)
| ~ rS(X4,X2,X1)
| X4 != X5
| X2 != X3 ),
inference(equality_resolution,[],[f703]) ).
fof(f703,plain,
! [X2,X3,X0,X1,X4,X5] :
( sK39(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,[],[f502]) ).
fof(f2311,plain,
spl51_151,
inference(avatar_split_clause,[],[f1163,f2309]) ).
fof(f2309,plain,
( spl51_151
<=> ! [X5,X1,X3] :
( sK39(X1,X3,X5) != X3
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X3,X1)
| ~ rpoint(X5)
| ~ rS(X5,X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_151])]) ).
fof(f1163,plain,
! [X3,X1,X5] :
( sK39(X1,X3,X5) != X3
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X3,X1)
| ~ rpoint(X5)
| ~ rS(X5,X3,X1) ),
inference(equality_resolution,[],[f1162]) ).
fof(f1162,plain,
! [X2,X3,X1,X5] :
( sK39(X1,X2,X5) != X2
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X2,X1)
| ~ rpoint(X5)
| ~ rS(X5,X2,X1)
| X2 != X3 ),
inference(equality_resolution,[],[f1161]) ).
fof(f1161,plain,
! [X2,X3,X1,X4,X5] :
( sK39(X1,X2,X4) != X2
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X2,X1)
| ~ rpoint(X5)
| ~ rS(X4,X2,X1)
| X4 != X5
| X2 != X3 ),
inference(equality_resolution,[],[f704]) ).
fof(f704,plain,
! [X2,X3,X0,X1,X4,X5] :
( sK39(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,[],[f502]) ).
fof(f2307,plain,
( spl51_149
| ~ spl51_150
| ~ spl51_15
| ~ spl51_137 ),
inference(avatar_split_clause,[],[f2272,f2227,f1488,f2304,f2300]) ).
fof(f2300,plain,
( spl51_149
<=> rintersect(vskolem1061,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_149])]) ).
fof(f2304,plain,
( spl51_150
<=> rline(vskolem1061) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_150])]) ).
fof(f2227,plain,
( spl51_137
<=> ! [X0] :
( ~ rline(X0)
| ~ ron(vd1058,X0)
| rintersect(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_137])]) ).
fof(f2272,plain,
( ~ rline(vskolem1061)
| rintersect(vskolem1061,sK5)
| ~ spl51_15
| ~ spl51_137 ),
inference(resolution,[],[f2228,f1490]) ).
fof(f2228,plain,
( ! [X0] :
( ~ ron(vd1058,X0)
| ~ rline(X0)
| rintersect(X0,sK5) )
| ~ spl51_137 ),
inference(avatar_component_clause,[],[f2227]) ).
fof(f2298,plain,
spl51_148,
inference(avatar_split_clause,[],[f1070,f2296]) ).
fof(f2296,plain,
( spl51_148
<=> ! [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,[spl51_148])]) ).
fof(f1070,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,[],[f1069]) ).
fof(f1069,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,[],[f1068]) ).
fof(f1068,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,[],[f1067]) ).
fof(f1067,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,[],[f683]) ).
fof(f683,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,[],[f334]) ).
fof(f334,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,[],[f333]) ).
fof(f333,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,[],[f172]) ).
fof(f172,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,[],[f57]) ).
fof(f57,axiom,
! [X385,X386,X387,X388,X389] :
( ( ? [X392] :
( rpoint(X392)
& X385 = X392 )
& ? [X391] :
( rpoint(X391)
& X386 = X391 )
& ? [X390] :
( rpoint(X390)
& X387 = X390 )
& rline(X389)
& X388 = X389
& rR(X386,X385,X387)
& ron(X386,X388) )
=> ~ rS(X385,X387,X388) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(109), 0), imp(cond(axiom(109), 0)))') ).
fof(f2294,plain,
spl51_147,
inference(avatar_split_clause,[],[f967,f2292]) ).
fof(f967,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,[],[f966]) ).
fof(f966,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,[],[f651]) ).
fof(f651,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,[],[f300]) ).
fof(f300,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,[],[f299]) ).
fof(f299,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,[],[f154]) ).
fof(f154,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,[],[f44]) ).
fof(f44,axiom,
! [X254,X255,X256,X257] :
( ( ? [X259] :
( rpoint(X259)
& X254 = X259 )
& ? [X258] :
( rpoint(X258)
& X255 = X258 )
& ron(X254,X256)
& rinside(X255,X256)
& rinside(X254,X257)
& ron(X255,X257) )
=> rintersect(X256,X257) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(135), 0), imp(cond(axiom(135), 0)))') ).
fof(f2290,plain,
spl51_146,
inference(avatar_split_clause,[],[f893,f2288]) ).
fof(f893,plain,
! [X1,X6,X5] :
( rpoint(sK22(X5,X6))
| ~ rline(X1)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ ron(X5,X1)
| ~ ron(X6,X1)
| X5 = X6 ),
inference(equality_resolution,[],[f892]) ).
fof(f892,plain,
! [X3,X1,X6,X5] :
( rpoint(sK22(X5,X3))
| ~ rline(X1)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X3 != X6
| ~ ron(X5,X1)
| ~ ron(X3,X1)
| X3 = X5 ),
inference(equality_resolution,[],[f891]) ).
fof(f891,plain,
! [X2,X3,X1,X6,X5] :
( rpoint(sK22(X2,X3))
| ~ rline(X1)
| ~ rpoint(X5)
| X2 != X5
| ~ rpoint(X6)
| X3 != X6
| ~ ron(X2,X1)
| ~ ron(X3,X1)
| X2 = X3 ),
inference(equality_resolution,[],[f610]) ).
fof(f610,plain,
! [X2,X3,X0,X1,X6,X5] :
( rpoint(sK22(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,[],[f457]) ).
fof(f2286,plain,
spl51_145,
inference(avatar_split_clause,[],[f887,f2284]) ).
fof(f887,plain,
! [X1,X6,X5] :
( rpoint(sK21(X5,X6))
| ~ rline(X1)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ ron(X5,X1)
| ~ ron(X6,X1)
| X5 = X6 ),
inference(equality_resolution,[],[f886]) ).
fof(f886,plain,
! [X3,X1,X6,X5] :
( rpoint(sK21(X5,X3))
| ~ rline(X1)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X3 != X6
| ~ ron(X5,X1)
| ~ ron(X3,X1)
| X3 = X5 ),
inference(equality_resolution,[],[f885]) ).
fof(f885,plain,
! [X2,X3,X1,X6,X5] :
( rpoint(sK21(X2,X3))
| ~ rline(X1)
| ~ rpoint(X5)
| X2 != X5
| ~ rpoint(X6)
| X3 != X6
| ~ ron(X2,X1)
| ~ ron(X3,X1)
| X2 = X3 ),
inference(equality_resolution,[],[f608]) ).
fof(f608,plain,
! [X2,X3,X0,X1,X6,X5] :
( rpoint(sK21(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,[],[f454]) ).
fof(f2271,plain,
spl51_144,
inference(avatar_split_clause,[],[f1203,f2269]) ).
fof(f2269,plain,
( spl51_144
<=> ! [X5,X1,X3] :
( sK41(X1,X3,X5) != X5
| ~ rline(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ ron(X3,X1)
| ~ ron(X5,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_144])]) ).
fof(f1203,plain,
! [X3,X1,X5] :
( sK41(X1,X3,X5) != X5
| ~ rline(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ ron(X3,X1)
| ~ ron(X5,X1) ),
inference(equality_resolution,[],[f1202]) ).
fof(f1202,plain,
! [X3,X1,X4,X5] :
( sK41(X1,X3,X4) != X4
| ~ rline(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| X4 != X5
| ~ ron(X3,X1)
| ~ ron(X4,X1) ),
inference(equality_resolution,[],[f1201]) ).
fof(f1201,plain,
! [X2,X3,X1,X4,X5] :
( sK41(X1,X2,X4) != X4
| ~ rline(X1)
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ ron(X2,X1)
| ~ ron(X4,X1) ),
inference(equality_resolution,[],[f715]) ).
fof(f715,plain,
! [X2,X3,X0,X1,X4,X5] :
( sK41(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,[],[f508]) ).
fof(f508,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( rpoint(sK41(X0,X2,X4))
& ron(sK41(X0,X2,X4),X0)
& sK41(X0,X2,X4) != X2
& sK41(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,[sK41])],[f368,f507]) ).
fof(f507,plain,
! [X0,X2,X4] :
( ? [X6] :
( rpoint(X6)
& ron(X6,X0)
& X2 != X6
& X4 != X6 )
=> ( rpoint(sK41(X0,X2,X4))
& ron(sK41(X0,X2,X4),X0)
& sK41(X0,X2,X4) != X2
& sK41(X0,X2,X4) != X4 ) ),
introduced(choice_axiom,[]) ).
fof(f368,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,[],[f367]) ).
fof(f367,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,[],[f190]) ).
fof(f190,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,[],[f100]) ).
fof(f100,axiom,
! [X677,X678,X679,X680,X681,X682] :
( ( rline(X678)
& X677 = X678
& rpoint(X680)
& X679 = X680
& rpoint(X682)
& X681 = X682
& ron(X679,X677)
& ron(X681,X677) )
=> ? [X683] :
( rpoint(X683)
& ron(X683,X677)
& X679 != X683
& X681 != X683 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(19), 0), imp(cond(axiom(19), 0)))') ).
fof(f2267,plain,
spl51_143,
inference(avatar_split_clause,[],[f1200,f2265]) ).
fof(f2265,plain,
( spl51_143
<=> ! [X5,X1,X3] :
( sK41(X1,X3,X5) != X3
| ~ rline(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ ron(X3,X1)
| ~ ron(X5,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_143])]) ).
fof(f1200,plain,
! [X3,X1,X5] :
( sK41(X1,X3,X5) != X3
| ~ rline(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ ron(X3,X1)
| ~ ron(X5,X1) ),
inference(equality_resolution,[],[f1199]) ).
fof(f1199,plain,
! [X3,X1,X4,X5] :
( sK41(X1,X3,X4) != X3
| ~ rline(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| X4 != X5
| ~ ron(X3,X1)
| ~ ron(X4,X1) ),
inference(equality_resolution,[],[f1198]) ).
fof(f1198,plain,
! [X2,X3,X1,X4,X5] :
( sK41(X1,X2,X4) != X2
| ~ rline(X1)
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ ron(X2,X1)
| ~ ron(X4,X1) ),
inference(equality_resolution,[],[f716]) ).
fof(f716,plain,
! [X2,X3,X0,X1,X4,X5] :
( sK41(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,[],[f508]) ).
fof(f2263,plain,
spl51_142,
inference(avatar_split_clause,[],[f1197,f2261]) ).
fof(f2261,plain,
( spl51_142
<=> ! [X5,X1,X3] :
( ron(sK41(X1,X3,X5),X1)
| ~ rline(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ ron(X3,X1)
| ~ ron(X5,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_142])]) ).
fof(f1197,plain,
! [X3,X1,X5] :
( ron(sK41(X1,X3,X5),X1)
| ~ rline(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ ron(X3,X1)
| ~ ron(X5,X1) ),
inference(equality_resolution,[],[f1196]) ).
fof(f1196,plain,
! [X3,X1,X4,X5] :
( ron(sK41(X1,X3,X4),X1)
| ~ rline(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| X4 != X5
| ~ ron(X3,X1)
| ~ ron(X4,X1) ),
inference(equality_resolution,[],[f1195]) ).
fof(f1195,plain,
! [X2,X3,X1,X4,X5] :
( ron(sK41(X1,X2,X4),X1)
| ~ rline(X1)
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ ron(X2,X1)
| ~ ron(X4,X1) ),
inference(equality_resolution,[],[f717]) ).
fof(f717,plain,
! [X2,X3,X0,X1,X4,X5] :
( ron(sK41(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,[],[f508]) ).
fof(f2259,plain,
spl51_141,
inference(avatar_split_clause,[],[f1157,f2257]) ).
fof(f1157,plain,
! [X3,X1,X5] :
( rpoint(sK39(X1,X3,X5))
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X3,X1)
| ~ rpoint(X5)
| ~ rS(X5,X3,X1) ),
inference(equality_resolution,[],[f1156]) ).
fof(f1156,plain,
! [X2,X3,X1,X5] :
( rpoint(sK39(X1,X2,X5))
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X2,X1)
| ~ rpoint(X5)
| ~ rS(X5,X2,X1)
| X2 != X3 ),
inference(equality_resolution,[],[f1155]) ).
fof(f1155,plain,
! [X2,X3,X1,X4,X5] :
( rpoint(sK39(X1,X2,X4))
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X2,X1)
| ~ rpoint(X5)
| ~ rS(X4,X2,X1)
| X4 != X5
| X2 != X3 ),
inference(equality_resolution,[],[f706]) ).
fof(f706,plain,
! [X2,X3,X0,X1,X4,X5] :
( rpoint(sK39(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,[],[f502]) ).
fof(f2255,plain,
spl51_140,
inference(avatar_split_clause,[],[f983,f2253]) ).
fof(f2253,plain,
( spl51_140
<=> ! [X6,X5,X1] :
( sK33(X1,X5,X6) != X6
| ~ rcircle(X1)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ ron(X5,X1)
| ~ ron(X6,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_140])]) ).
fof(f983,plain,
! [X1,X6,X5] :
( sK33(X1,X5,X6) != X6
| ~ rcircle(X1)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ ron(X5,X1)
| ~ ron(X6,X1) ),
inference(equality_resolution,[],[f982]) ).
fof(f982,plain,
! [X3,X1,X6,X5] :
( sK33(X1,X5,X3) != X3
| ~ rcircle(X1)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X3 != X6
| ~ ron(X5,X1)
| ~ ron(X3,X1) ),
inference(equality_resolution,[],[f981]) ).
fof(f981,plain,
! [X2,X3,X1,X6,X5] :
( sK33(X1,X2,X3) != X3
| ~ rcircle(X1)
| ~ rpoint(X5)
| X2 != X5
| ~ rpoint(X6)
| X3 != X6
| ~ ron(X2,X1)
| ~ ron(X3,X1) ),
inference(equality_resolution,[],[f653]) ).
fof(f653,plain,
! [X2,X3,X0,X1,X6,X5] :
( sK33(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,[],[f481]) ).
fof(f481,plain,
! [X0,X1,X2,X3] :
( ( rpoint(sK33(X0,X2,X3))
& ron(sK33(X0,X2,X3),X0)
& sK33(X0,X2,X3) != X2
& sK33(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,[sK33])],[f479,f480]) ).
fof(f480,plain,
! [X0,X2,X3] :
( ? [X4] :
( rpoint(X4)
& ron(X4,X0)
& X2 != X4
& X3 != X4 )
=> ( rpoint(sK33(X0,X2,X3))
& ron(sK33(X0,X2,X3),X0)
& sK33(X0,X2,X3) != X2
& sK33(X0,X2,X3) != X3 ) ),
introduced(choice_axiom,[]) ).
fof(f479,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,[],[f304]) ).
fof(f304,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,[],[f303]) ).
fof(f303,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,[],[f156]) ).
fof(f156,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,[],[f87]) ).
fof(f87,axiom,
! [X584,X585,X586,X587] :
( ( rcircle(X585)
& X584 = X585
& ? [X589] :
( rpoint(X589)
& X586 = X589 )
& ? [X588] :
( rpoint(X588)
& X587 = X588 )
& ron(X586,X584)
& ron(X587,X584) )
=> ? [X590] :
( rpoint(X590)
& ron(X590,X584)
& X586 != X590
& X587 != X590 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(45), 0), imp(cond(axiom(45), 0)))') ).
fof(f2251,plain,
spl51_139,
inference(avatar_split_clause,[],[f980,f2249]) ).
fof(f2249,plain,
( spl51_139
<=> ! [X6,X5,X1] :
( sK33(X1,X5,X6) != X5
| ~ rcircle(X1)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ ron(X5,X1)
| ~ ron(X6,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_139])]) ).
fof(f980,plain,
! [X1,X6,X5] :
( sK33(X1,X5,X6) != X5
| ~ rcircle(X1)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ ron(X5,X1)
| ~ ron(X6,X1) ),
inference(equality_resolution,[],[f979]) ).
fof(f979,plain,
! [X3,X1,X6,X5] :
( sK33(X1,X5,X3) != X5
| ~ rcircle(X1)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X3 != X6
| ~ ron(X5,X1)
| ~ ron(X3,X1) ),
inference(equality_resolution,[],[f978]) ).
fof(f978,plain,
! [X2,X3,X1,X6,X5] :
( sK33(X1,X2,X3) != X2
| ~ rcircle(X1)
| ~ rpoint(X5)
| X2 != X5
| ~ rpoint(X6)
| X3 != X6
| ~ ron(X2,X1)
| ~ ron(X3,X1) ),
inference(equality_resolution,[],[f654]) ).
fof(f654,plain,
! [X2,X3,X0,X1,X6,X5] :
( sK33(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,[],[f481]) ).
fof(f2247,plain,
spl51_138,
inference(avatar_split_clause,[],[f977,f2245]) ).
fof(f977,plain,
! [X1,X6,X5] :
( ron(sK33(X1,X5,X6),X1)
| ~ rcircle(X1)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ ron(X5,X1)
| ~ ron(X6,X1) ),
inference(equality_resolution,[],[f976]) ).
fof(f976,plain,
! [X3,X1,X6,X5] :
( ron(sK33(X1,X5,X3),X1)
| ~ rcircle(X1)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X3 != X6
| ~ ron(X5,X1)
| ~ ron(X3,X1) ),
inference(equality_resolution,[],[f975]) ).
fof(f975,plain,
! [X2,X3,X1,X6,X5] :
( ron(sK33(X1,X2,X3),X1)
| ~ rcircle(X1)
| ~ rpoint(X5)
| X2 != X5
| ~ rpoint(X6)
| X3 != X6
| ~ ron(X2,X1)
| ~ ron(X3,X1) ),
inference(equality_resolution,[],[f655]) ).
fof(f655,plain,
! [X2,X3,X0,X1,X6,X5] :
( ron(sK33(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,[],[f481]) ).
fof(f2229,plain,
( spl51_137
| ~ spl51_1
| ~ spl51_7
| ~ spl51_29
| ~ spl51_131 ),
inference(avatar_split_clause,[],[f2200,f2115,f1548,f1448,f1418,f2227]) ).
fof(f2200,plain,
( ! [X0] :
( ~ rpoint(vd1058)
| ~ rcircle(sK5)
| ~ rline(X0)
| rintersect(X0,sK5)
| ~ ron(vd1058,X0) )
| ~ spl51_29
| ~ spl51_131 ),
inference(resolution,[],[f2116,f1550]) ).
fof(f2225,plain,
spl51_136,
inference(avatar_split_clause,[],[f1194,f2223]) ).
fof(f1194,plain,
! [X3,X1,X5] :
( rpoint(sK41(X1,X3,X5))
| ~ rline(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ ron(X3,X1)
| ~ ron(X5,X1) ),
inference(equality_resolution,[],[f1193]) ).
fof(f1193,plain,
! [X3,X1,X4,X5] :
( rpoint(sK41(X1,X3,X4))
| ~ rline(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| X4 != X5
| ~ ron(X3,X1)
| ~ ron(X4,X1) ),
inference(equality_resolution,[],[f1192]) ).
fof(f1192,plain,
! [X2,X3,X1,X4,X5] :
( rpoint(sK41(X1,X2,X4))
| ~ rline(X1)
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ ron(X2,X1)
| ~ ron(X4,X1) ),
inference(equality_resolution,[],[f718]) ).
fof(f718,plain,
! [X2,X3,X0,X1,X4,X5] :
( rpoint(sK41(X0,X2,X4))
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ ron(X2,X0)
| ~ ron(X4,X0) ),
inference(cnf_transformation,[],[f508]) ).
fof(f2221,plain,
spl51_135,
inference(avatar_split_clause,[],[f974,f2219]) ).
fof(f974,plain,
! [X1,X6,X5] :
( rpoint(sK33(X1,X5,X6))
| ~ rcircle(X1)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ ron(X5,X1)
| ~ ron(X6,X1) ),
inference(equality_resolution,[],[f973]) ).
fof(f973,plain,
! [X3,X1,X6,X5] :
( rpoint(sK33(X1,X5,X3))
| ~ rcircle(X1)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X3 != X6
| ~ ron(X5,X1)
| ~ ron(X3,X1) ),
inference(equality_resolution,[],[f972]) ).
fof(f972,plain,
! [X2,X3,X1,X6,X5] :
( rpoint(sK33(X1,X2,X3))
| ~ rcircle(X1)
| ~ rpoint(X5)
| X2 != X5
| ~ rpoint(X6)
| X3 != X6
| ~ ron(X2,X1)
| ~ ron(X3,X1) ),
inference(equality_resolution,[],[f656]) ).
fof(f656,plain,
! [X2,X3,X0,X1,X6,X5] :
( rpoint(sK33(X0,X2,X3))
| ~ rcircle(X1)
| X0 != X1
| ~ rpoint(X5)
| X2 != X5
| ~ rpoint(X6)
| X3 != X6
| ~ ron(X2,X0)
| ~ ron(X3,X0) ),
inference(cnf_transformation,[],[f481]) ).
fof(f2211,plain,
spl51_134,
inference(avatar_split_clause,[],[f1226,f2209]) ).
fof(f2209,plain,
( spl51_134
<=> ! [X5,X1,X3] :
( X1 = X3
| ~ rreal(X1)
| ~ rreal(X3)
| ~ rreal(X5)
| vplus(X1,X5) != vplus(X3,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_134])]) ).
fof(f1226,plain,
! [X3,X1,X5] :
( X1 = X3
| ~ rreal(X1)
| ~ rreal(X3)
| ~ rreal(X5)
| vplus(X1,X5) != vplus(X3,X5) ),
inference(equality_resolution,[],[f1225]) ).
fof(f1225,plain,
! [X3,X1,X4,X5] :
( X1 = X3
| ~ rreal(X1)
| ~ rreal(X3)
| ~ rreal(X5)
| X4 != X5
| vplus(X1,X4) != vplus(X3,X4) ),
inference(equality_resolution,[],[f1224]) ).
fof(f1224,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,[],[f723]) ).
fof(f723,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,[],[f372]) ).
fof(f372,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,[],[f371]) ).
fof(f371,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,[],[f192]) ).
fof(f192,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,[],[f32]) ).
fof(f32,axiom,
! [X210,X211,X212,X213,X214,X215] :
( ( rreal(X211)
& X210 = X211
& rreal(X213)
& X212 = X213
& rreal(X215)
& X214 = X215
& vplus(X210,X214) = vplus(X212,X214) )
=> X210 = X212 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(156, 0), 0)') ).
fof(f2207,plain,
spl51_133,
inference(avatar_split_clause,[],[f1181,f2205]) ).
fof(f1181,plain,
! [X3,X1,X5] :
( rless(vplus(X1,X5),vplus(X3,X5))
| ~ rreal(X1)
| ~ rreal(X3)
| ~ rreal(X5)
| ~ rless(X1,X3) ),
inference(equality_resolution,[],[f1180]) ).
fof(f1180,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,[],[f1179]) ).
fof(f1179,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,[],[f710]) ).
fof(f710,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,[],[f360]) ).
fof(f360,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,[],[f359]) ).
fof(f359,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,[],[f186]) ).
fof(f186,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,[],[f34]) ).
fof(f34,axiom,
! [X221,X222,X223,X224,X225,X226] :
( ( rreal(X222)
& X221 = X222
& rreal(X224)
& X223 = X224
& rreal(X226)
& X225 = X226
& rless(X221,X223) )
=> rless(vplus(X221,X225),vplus(X223,X225)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(153), 0), imp(cond(axiom(153), 0)))') ).
fof(f2146,plain,
( spl51_132
| ~ spl51_12
| ~ spl51_38 ),
inference(avatar_split_clause,[],[f1669,f1599,f1473,f2143]) ).
fof(f2143,plain,
( spl51_132
<=> vd1063 = sK7(vd1058,vd1063) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_132])]) ).
fof(f1669,plain,
( vd1063 = sK7(vd1058,vd1063)
| ~ spl51_12
| ~ spl51_38 ),
inference(resolution,[],[f1600,f1475]) ).
fof(f2117,plain,
spl51_131,
inference(avatar_split_clause,[],[f1191,f2115]) ).
fof(f1191,plain,
! [X3,X1,X5] :
( rintersect(X5,X3)
| ~ rpoint(X1)
| ~ rcircle(X3)
| ~ rline(X5)
| ~ rinside(X1,X3)
| ~ ron(X1,X5) ),
inference(equality_resolution,[],[f1190]) ).
fof(f1190,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,[],[f1189]) ).
fof(f1189,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,[],[f714]) ).
fof(f714,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,[],[f366]) ).
fof(f366,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,[],[f365]) ).
fof(f365,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,[],[f189]) ).
fof(f189,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,[],[f46]) ).
fof(f46,axiom,
! [X268,X269,X270,X271,X272,X273] :
( ( rpoint(X269)
& X268 = X269
& rcircle(X271)
& X270 = X271
& rline(X273)
& X272 = X273
& rinside(X268,X270)
& ron(X268,X272) )
=> rintersect(X272,X270) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(131), 0), imp(cond(axiom(131), 0)))') ).
fof(f2113,plain,
spl51_130,
inference(avatar_split_clause,[],[f1184,f2111]) ).
fof(f1184,plain,
! [X3,X1,X5] :
( rless(X1,X5)
| ~ rreal(X1)
| ~ rreal(X3)
| ~ rreal(X5)
| ~ rless(X1,X3)
| ~ rless(X3,X5) ),
inference(equality_resolution,[],[f1183]) ).
fof(f1183,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,[],[f1182]) ).
fof(f1182,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,[],[f711]) ).
fof(f711,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,[],[f362]) ).
fof(f362,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,[],[f361]) ).
fof(f361,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,[],[f187]) ).
fof(f187,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,[],[f35]) ).
fof(f35,axiom,
! [X227,X228,X229,X230,X231,X232] :
( ( rreal(X228)
& X227 = X228
& rreal(X230)
& X229 = X230
& rreal(X232)
& X231 = X232
& rless(X227,X229)
& rless(X229,X231) )
=> rless(X227,X231) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(151), 0), imp(cond(axiom(151), 0)))') ).
fof(f2109,plain,
spl51_129,
inference(avatar_split_clause,[],[f884,f2107]) ).
fof(f884,plain,
! [X6,X4,X5] :
( sK20(X4,X5,X6) = vg(X4,X5,X6)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6) ),
inference(equality_resolution,[],[f883]) ).
fof(f883,plain,
! [X2,X6,X4,X5] :
( sK20(X4,X5,X2) = vg(X4,X5,X2)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X2 != X6 ),
inference(equality_resolution,[],[f882]) ).
fof(f882,plain,
! [X2,X1,X6,X4,X5] :
( sK20(X4,X1,X2) = vg(X4,X1,X2)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X1 != X5
| ~ rpoint(X6)
| X2 != X6 ),
inference(equality_resolution,[],[f605]) ).
fof(f605,plain,
! [X2,X0,X1,X6,X4,X5] :
( vg(X0,X1,X2) = sK20(X0,X1,X2)
| ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X5)
| X1 != X5
| ~ rpoint(X6)
| X2 != X6 ),
inference(cnf_transformation,[],[f451]) ).
fof(f451,plain,
! [X0,X1,X2] :
( ( rreal(sK20(X0,X1,X2))
& vg(X0,X1,X2) = sK20(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,[sK20])],[f449,f450]) ).
fof(f450,plain,
! [X0,X1,X2] :
( ? [X3] :
( rreal(X3)
& vg(X0,X1,X2) = X3 )
=> ( rreal(sK20(X0,X1,X2))
& vg(X0,X1,X2) = sK20(X0,X1,X2) ) ),
introduced(choice_axiom,[]) ).
fof(f449,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,[],[f260]) ).
fof(f260,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,[],[f259]) ).
fof(f259,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,[],[f134]) ).
fof(f134,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,[],[f14]) ).
fof(f14,axiom,
! [X74,X75,X76] :
( ( ? [X79] :
( rpoint(X79)
& X74 = X79 )
& ? [X78] :
( rpoint(X78)
& X75 = X78 )
& ? [X77] :
( rpoint(X77)
& X76 = X77 ) )
=> ? [X80] :
( rreal(X80)
& vg(X74,X75,X76) = X80 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(198), 0), imp(cond(axiom(198), 0)))') ).
fof(f2105,plain,
spl51_128,
inference(avatar_split_clause,[],[f866,f2103]) ).
fof(f866,plain,
! [X3,X4,X5] :
( vg(X3,X4,X5) = vg(X3,X5,X4)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f865]) ).
fof(f865,plain,
! [X2,X3,X4,X5] :
( vg(X3,X4,X2) = vg(X3,X2,X4)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X2 != X5 ),
inference(equality_resolution,[],[f864]) ).
fof(f864,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,[],[f599]) ).
fof(f599,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,[],[f256]) ).
fof(f256,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,[],[f255]) ).
fof(f255,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,[],[f132]) ).
fof(f132,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,[],[f23]) ).
fof(f23,axiom,
! [X165,X166,X167] :
( ( ? [X170] :
( rpoint(X170)
& X165 = X170 )
& ? [X169] :
( rpoint(X169)
& X166 = X169 )
& ? [X168] :
( rpoint(X168)
& X167 = X168 ) )
=> ( vg(X165,X166,X167) = vg(X167,X165,X166)
& vg(X165,X166,X167) = vg(X165,X167,X166) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(176), 0), imp(cond(axiom(176), 0)))') ).
fof(f2101,plain,
spl51_127,
inference(avatar_split_clause,[],[f863,f2099]) ).
fof(f863,plain,
! [X3,X4,X5] :
( vg(X3,X4,X5) = vg(X5,X3,X4)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f862]) ).
fof(f862,plain,
! [X2,X3,X4,X5] :
( vg(X3,X4,X2) = vg(X2,X3,X4)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X2 != X5 ),
inference(equality_resolution,[],[f861]) ).
fof(f861,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,[],[f600]) ).
fof(f600,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,[],[f256]) ).
fof(f2092,plain,
spl51_126,
inference(avatar_split_clause,[],[f1001,f2090]) ).
fof(f1001,plain,
! [X3,X4,X5] :
( rS(X5,X4,X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rline(X3)
| ~ rS(X4,X5,X3) ),
inference(equality_resolution,[],[f1000]) ).
fof(f1000,plain,
! [X2,X3,X4,X5] :
( rS(X5,X4,X2)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rline(X3)
| X2 != X3
| ~ rS(X4,X5,X2) ),
inference(equality_resolution,[],[f999]) ).
fof(f999,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,[],[f661]) ).
fof(f661,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,[],[f314]) ).
fof(f314,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,[],[f313]) ).
fof(f313,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,[],[f161]) ).
fof(f161,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,[],[f63]) ).
fof(f63,axiom,
! [X431,X432,X433,X434] :
( ( ? [X436] :
( rpoint(X436)
& X431 = X436 )
& ? [X435] :
( rpoint(X435)
& X432 = X435 )
& rline(X434)
& X433 = X434
& rS(X431,X432,X433) )
=> rS(X432,X431,X433) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(97), 0), imp(cond(axiom(97), 0)))') ).
fof(f2088,plain,
( spl51_125
| ~ spl51_6
| ~ spl51_37 ),
inference(avatar_split_clause,[],[f1587,f1581,f1443,f2085]) ).
fof(f2085,plain,
( spl51_125
<=> vd684 = vf(vd14,vd14) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_125])]) ).
fof(f1587,plain,
( vd684 = vf(vd14,vd14)
| ~ spl51_6
| ~ spl51_37 ),
inference(resolution,[],[f1582,f1445]) ).
fof(f2083,plain,
spl51_124,
inference(avatar_split_clause,[],[f860,f2081]) ).
fof(f2081,plain,
( spl51_124
<=> ! [X4,X5,X3] :
( ~ rR(X3,X4,X5)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rR(X4,X3,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_124])]) ).
fof(f860,plain,
! [X3,X4,X5] :
( ~ rR(X3,X4,X5)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rR(X4,X3,X5) ),
inference(equality_resolution,[],[f859]) ).
fof(f859,plain,
! [X2,X3,X4,X5] :
( ~ rR(X3,X4,X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X2 != X5
| ~ rR(X4,X3,X2) ),
inference(equality_resolution,[],[f858]) ).
fof(f858,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,[],[f595]) ).
fof(f595,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,[],[f254]) ).
fof(f254,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,[],[f253]) ).
fof(f253,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,[],[f130]) ).
fof(f130,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,[],[f71]) ).
fof(f71,axiom,
! [X489,X490,X491] :
( ( ? [X494] :
( rpoint(X494)
& X489 = X494 )
& ? [X493] :
( rpoint(X493)
& X490 = X493 )
& ? [X492] :
( rpoint(X492)
& X491 = X492 )
& rR(X490,X489,X491) )
=> ( rR(X490,X491,X489)
& X489 != X490
& X489 != X491
& ~ rR(X489,X490,X491) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))') ).
fof(f2079,plain,
spl51_123,
inference(avatar_split_clause,[],[f849,f2077]) ).
fof(f2077,plain,
( spl51_123
<=> ! [X4,X5,X3] :
( rR(X4,X5,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rR(X4,X3,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_123])]) ).
fof(f849,plain,
! [X3,X4,X5] :
( rR(X4,X5,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rR(X4,X3,X5) ),
inference(equality_resolution,[],[f848]) ).
fof(f848,plain,
! [X2,X3,X4,X5] :
( rR(X4,X2,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X2 != X5
| ~ rR(X4,X3,X2) ),
inference(equality_resolution,[],[f847]) ).
fof(f847,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,[],[f598]) ).
fof(f598,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,[],[f254]) ).
fof(f2062,plain,
spl51_122,
inference(avatar_split_clause,[],[f1021,f2060]) ).
fof(f2060,plain,
( spl51_122
<=> ! [X5,X4,X7,X6] :
( sP2(X4,X5,X6,X7)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_122])]) ).
fof(f1021,plain,
! [X6,X7,X4,X5] :
( sP2(X4,X5,X6,X7)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1020]) ).
fof(f1020,plain,
! [X3,X6,X7,X4,X5] :
( sP2(X4,X5,X6,X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X3 != X7 ),
inference(equality_resolution,[],[f1019]) ).
fof(f1019,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,[],[f1018]) ).
fof(f1018,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,[],[f671]) ).
fof(f671,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,[],[f410]) ).
fof(f410,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,[],[f318,f409]) ).
fof(f409,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(f318,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,[],[f317]) ).
fof(f317,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,[],[f164]) ).
fof(f164,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,[],[f103]) ).
fof(f103,axiom,
! [X692,X693,X694,X695] :
( ( ? [X699] :
( rpoint(X699)
& X692 = X699 )
& ? [X698] :
( rpoint(X698)
& X693 = X698 )
& ? [X697] :
( rpoint(X697)
& X694 = X697 )
& ? [X696] :
( rpoint(X696)
& X695 = X696 ) )
=> ? [X700] :
( rpoint(X700)
& X692 != X700
& X693 != X700
& X694 != X700
& X695 != X700 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(13), 0), imp(cond(axiom(13), 0)))') ).
fof(f2058,plain,
( spl51_121
| ~ spl51_8
| ~ spl51_37 ),
inference(avatar_split_clause,[],[f1586,f1581,f1453,f2055]) ).
fof(f2055,plain,
( spl51_121
<=> vd684 = vf(vd1056,vd1056) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_121])]) ).
fof(f1586,plain,
( vd684 = vf(vd1056,vd1056)
| ~ spl51_8
| ~ spl51_37 ),
inference(resolution,[],[f1582,f1455]) ).
fof(f2053,plain,
spl51_120,
inference(avatar_split_clause,[],[f998,f2051]) ).
fof(f998,plain,
! [X3,X4,X5] :
( ~ ron(X4,X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rline(X3)
| ~ rS(X4,X5,X3) ),
inference(equality_resolution,[],[f997]) ).
fof(f997,plain,
! [X2,X3,X4,X5] :
( ~ ron(X4,X2)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rline(X3)
| X2 != X3
| ~ rS(X4,X5,X2) ),
inference(equality_resolution,[],[f996]) ).
fof(f996,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,[],[f660]) ).
fof(f660,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,[],[f312]) ).
fof(f312,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,[],[f311]) ).
fof(f311,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,[],[f160]) ).
fof(f160,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,[],[f62]) ).
fof(f62,axiom,
! [X425,X426,X427,X428] :
( ( ? [X430] :
( rpoint(X430)
& X425 = X430 )
& ? [X429] :
( rpoint(X429)
& X426 = X429 )
& rline(X428)
& X427 = X428
& rS(X425,X426,X427) )
=> ~ ron(X425,X427) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(99), 0), imp(cond(axiom(99), 0)))') ).
fof(f2049,plain,
spl51_119,
inference(avatar_split_clause,[],[f926,f2047]) ).
fof(f926,plain,
! [X3,X1] :
( X1 = X3
| ~ rless(X3,X1)
| ~ rreal(X1)
| ~ rreal(X3)
| ~ rless(X1,X3) ),
inference(equality_resolution,[],[f925]) ).
fof(f925,plain,
! [X2,X3,X1] :
( X1 = X2
| ~ rless(X2,X1)
| ~ rreal(X1)
| ~ rreal(X3)
| X2 != X3
| ~ rless(X1,X2) ),
inference(equality_resolution,[],[f623]) ).
fof(f623,plain,
! [X2,X3,X0,X1] :
( X0 = X2
| ~ rless(X2,X0)
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3
| ~ rless(X0,X2) ),
inference(cnf_transformation,[],[f280]) ).
fof(f280,plain,
! [X0,X1,X2,X3] :
( X0 = X2
| ~ rless(X2,X0)
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3
| ~ rless(X0,X2) ),
inference(flattening,[],[f279]) ).
fof(f279,plain,
! [X0,X1,X2,X3] :
( X0 = X2
| ~ rless(X2,X0)
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3
| ~ rless(X0,X2) ),
inference(ennf_transformation,[],[f144]) ).
fof(f144,plain,
! [X0,X1,X2,X3] :
( ( rreal(X1)
& X0 = X1
& rreal(X3)
& X2 = X3
& rless(X0,X2) )
=> ( X0 = X2
| ~ rless(X2,X0) ) ),
inference(rectify,[],[f37]) ).
fof(f37,axiom,
! [X235,X236,X237,X238] :
( ( rreal(X236)
& X235 = X236
& rreal(X238)
& X237 = X238
& rless(X235,X237) )
=> ( X235 = X237
| ~ rless(X237,X235) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(147), 0), imp(cond(axiom(147), 0)))') ).
fof(f2045,plain,
spl51_118,
inference(avatar_split_clause,[],[f924,f2043]) ).
fof(f2043,plain,
( spl51_118
<=> ! [X1,X3] :
( ~ rS(sK25(X1,X3),X3,X1)
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_118])]) ).
fof(f924,plain,
! [X3,X1] :
( ~ rS(sK25(X1,X3),X3,X1)
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X3,X1) ),
inference(equality_resolution,[],[f923]) ).
fof(f923,plain,
! [X2,X3,X1] :
( ~ rS(sK25(X1,X2),X2,X1)
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X2,X1)
| X2 != X3 ),
inference(equality_resolution,[],[f621]) ).
fof(f621,plain,
! [X2,X3,X0,X1] :
( ~ rS(sK25(X0,X2),X2,X0)
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X3)
| ron(X2,X0)
| X2 != X3 ),
inference(cnf_transformation,[],[f463]) ).
fof(f463,plain,
! [X0,X1,X2,X3] :
( ( rpoint(sK25(X0,X2))
& ~ rS(sK25(X0,X2),X2,X0) )
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X3)
| ron(X2,X0)
| X2 != X3 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25])],[f278,f462]) ).
fof(f462,plain,
! [X0,X2] :
( ? [X4] :
( rpoint(X4)
& ~ rS(X4,X2,X0) )
=> ( rpoint(sK25(X0,X2))
& ~ rS(sK25(X0,X2),X2,X0) ) ),
introduced(choice_axiom,[]) ).
fof(f278,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,[],[f277]) ).
fof(f277,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,[],[f143]) ).
fof(f143,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,[],[f90]) ).
fof(f90,axiom,
! [X599,X600,X601,X602] :
( ( rline(X600)
& X599 = X600
& rpoint(X602)
& ~ ron(X601,X599)
& X601 = X602 )
=> ? [X603] :
( rpoint(X603)
& ~ rS(X603,X601,X599) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(39), 0), imp(cond(axiom(39), 0)))') ).
fof(f2041,plain,
spl51_117,
inference(avatar_split_clause,[],[f918,f2039]) ).
fof(f918,plain,
! [X3,X1] :
( rS(sK24(X1,X3),X3,X1)
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X3,X1) ),
inference(equality_resolution,[],[f917]) ).
fof(f917,plain,
! [X2,X3,X1] :
( rS(sK24(X1,X2),X2,X1)
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X2,X1)
| X2 != X3 ),
inference(equality_resolution,[],[f619]) ).
fof(f619,plain,
! [X2,X3,X0,X1] :
( rS(sK24(X0,X2),X2,X0)
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X3)
| ron(X2,X0)
| X2 != X3 ),
inference(cnf_transformation,[],[f461]) ).
fof(f461,plain,
! [X0,X1,X2,X3] :
( ( rpoint(sK24(X0,X2))
& rS(sK24(X0,X2),X2,X0)
& sK24(X0,X2) != X2 )
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X3)
| ron(X2,X0)
| X2 != X3 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f276,f460]) ).
fof(f460,plain,
! [X0,X2] :
( ? [X4] :
( rpoint(X4)
& rS(X4,X2,X0)
& X2 != X4 )
=> ( rpoint(sK24(X0,X2))
& rS(sK24(X0,X2),X2,X0)
& sK24(X0,X2) != X2 ) ),
introduced(choice_axiom,[]) ).
fof(f276,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,[],[f275]) ).
fof(f275,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,[],[f142]) ).
fof(f142,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,[],[f93]) ).
fof(f93,axiom,
! [X620,X621,X622,X623] :
( ( rline(X621)
& X620 = X621
& rpoint(X623)
& ~ ron(X622,X620)
& X622 = X623 )
=> ? [X624] :
( rpoint(X624)
& rS(X624,X622,X620)
& X622 != X624 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(33), 0), imp(cond(axiom(33), 0)))') ).
fof(f2037,plain,
spl51_116,
inference(avatar_split_clause,[],[f910,f2035]) ).
fof(f910,plain,
! [X3,X1] :
( rless(X3,X1)
| X1 = X3
| rless(X1,X3)
| ~ rreal(X1)
| ~ rreal(X3) ),
inference(equality_resolution,[],[f909]) ).
fof(f909,plain,
! [X2,X3,X1] :
( rless(X2,X1)
| X1 = X2
| rless(X1,X2)
| ~ rreal(X1)
| ~ rreal(X3)
| X2 != X3 ),
inference(equality_resolution,[],[f615]) ).
fof(f615,plain,
! [X2,X3,X0,X1] :
( rless(X2,X0)
| X0 = X2
| rless(X0,X2)
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3 ),
inference(cnf_transformation,[],[f272]) ).
fof(f272,plain,
! [X0,X1,X2,X3] :
( rless(X2,X0)
| X0 = X2
| rless(X0,X2)
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3 ),
inference(flattening,[],[f271]) ).
fof(f271,plain,
! [X0,X1,X2,X3] :
( rless(X2,X0)
| X0 = X2
| rless(X0,X2)
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3 ),
inference(ennf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0,X1,X2,X3] :
( ( rreal(X1)
& X0 = X1
& rreal(X3)
& X2 = X3 )
=> ( rless(X2,X0)
| X0 = X2
| rless(X0,X2) ) ),
inference(rectify,[],[f38]) ).
fof(f38,axiom,
! [X239,X240,X241,X242] :
( ( rreal(X240)
& X239 = X240
& rreal(X242)
& X241 = X242 )
=> ( rless(X241,X239)
| X239 = X241
| rless(X239,X241) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(145), 0), imp(cond(axiom(145), 0)))') ).
fof(f2033,plain,
spl51_115,
inference(avatar_split_clause,[],[f748,f2031]) ).
fof(f748,plain,
! [X2,X3,X0,X1] :
( rS(sK46(X0,X1,X2,X3),X1,X0)
| ~ sP3(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f523]) ).
fof(f523,plain,
! [X0,X1,X2,X3] :
( ( rpoint(sK46(X0,X1,X2,X3))
& rS(sK46(X0,X1,X2,X3),X1,X0)
& sK46(X0,X1,X2,X3) != X1
& sK46(X0,X1,X2,X3) != X2
& sK46(X0,X1,X2,X3) != X3 )
| ~ sP3(X0,X1,X2,X3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK46])],[f521,f522]) ).
fof(f522,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( rpoint(X4)
& rS(X4,X1,X0)
& X1 != X4
& X2 != X4
& X3 != X4 )
=> ( rpoint(sK46(X0,X1,X2,X3))
& rS(sK46(X0,X1,X2,X3),X1,X0)
& sK46(X0,X1,X2,X3) != X1
& sK46(X0,X1,X2,X3) != X2
& sK46(X0,X1,X2,X3) != X3 ) ),
introduced(choice_axiom,[]) ).
fof(f521,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,[],[f520]) ).
fof(f520,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,[],[f411]) ).
fof(f2029,plain,
( spl51_114
| ~ spl51_7
| ~ spl51_37 ),
inference(avatar_split_clause,[],[f1585,f1581,f1448,f2026]) ).
fof(f2026,plain,
( spl51_114
<=> vd684 = vf(vd1058,vd1058) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_114])]) ).
fof(f1585,plain,
( vd684 = vf(vd1058,vd1058)
| ~ spl51_7
| ~ spl51_37 ),
inference(resolution,[],[f1582,f1450]) ).
fof(f2024,plain,
( spl51_113
| ~ spl51_5
| ~ spl51_36 ),
inference(avatar_split_clause,[],[f1584,f1577,f1438,f2021]) ).
fof(f2021,plain,
( spl51_113
<=> vd684 = vplus(vd684,vd684) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_113])]) ).
fof(f1584,plain,
( vd684 = vplus(vd684,vd684)
| ~ spl51_5
| ~ spl51_36 ),
inference(resolution,[],[f1578,f1440]) ).
fof(f2013,plain,
spl51_112,
inference(avatar_split_clause,[],[f961,f2011]) ).
fof(f2011,plain,
( spl51_112
<=> ! [X1,X3] :
( sK32(X1,X3) != X3
| ~ rcircle(X1)
| ~ rpoint(X3)
| ~ ron(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_112])]) ).
fof(f961,plain,
! [X3,X1] :
( sK32(X1,X3) != X3
| ~ rcircle(X1)
| ~ rpoint(X3)
| ~ ron(X3,X1) ),
inference(equality_resolution,[],[f960]) ).
fof(f960,plain,
! [X2,X3,X1] :
( sK32(X1,X2) != X2
| ~ rcircle(X1)
| ~ rpoint(X3)
| X2 != X3
| ~ ron(X2,X1) ),
inference(equality_resolution,[],[f646]) ).
fof(f646,plain,
! [X2,X3,X0,X1] :
( sK32(X0,X2) != X2
| ~ rcircle(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ ron(X2,X0) ),
inference(cnf_transformation,[],[f477]) ).
fof(f477,plain,
! [X0,X1,X2,X3] :
( ( rpoint(sK32(X0,X2))
& ron(sK32(X0,X2),X0)
& sK32(X0,X2) != X2 )
| ~ rcircle(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ ron(X2,X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK32])],[f296,f476]) ).
fof(f476,plain,
! [X0,X2] :
( ? [X4] :
( rpoint(X4)
& ron(X4,X0)
& X2 != X4 )
=> ( rpoint(sK32(X0,X2))
& ron(sK32(X0,X2),X0)
& sK32(X0,X2) != X2 ) ),
introduced(choice_axiom,[]) ).
fof(f296,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,[],[f295]) ).
fof(f295,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,[],[f152]) ).
fof(f152,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,[],[f88]) ).
fof(f88,axiom,
! [X591,X592,X593,X594] :
( ( rcircle(X592)
& X591 = X592
& rpoint(X594)
& X593 = X594
& ron(X593,X591) )
=> ? [X595] :
( rpoint(X595)
& ron(X595,X591)
& X593 != X595 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(43), 0), imp(cond(axiom(43), 0)))') ).
fof(f2009,plain,
spl51_111,
inference(avatar_split_clause,[],[f959,f2007]) ).
fof(f959,plain,
! [X3,X1] :
( ron(sK32(X1,X3),X1)
| ~ rcircle(X1)
| ~ rpoint(X3)
| ~ ron(X3,X1) ),
inference(equality_resolution,[],[f958]) ).
fof(f958,plain,
! [X2,X3,X1] :
( ron(sK32(X1,X2),X1)
| ~ rcircle(X1)
| ~ rpoint(X3)
| X2 != X3
| ~ ron(X2,X1) ),
inference(equality_resolution,[],[f647]) ).
fof(f647,plain,
! [X2,X3,X0,X1] :
( ron(sK32(X0,X2),X0)
| ~ rcircle(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ ron(X2,X0) ),
inference(cnf_transformation,[],[f477]) ).
fof(f2005,plain,
spl51_110,
inference(avatar_split_clause,[],[f955,f2003]) ).
fof(f2003,plain,
( spl51_110
<=> ! [X1,X3] :
( sK31(X1,X3) != X3
| ~ rline(X1)
| ~ rpoint(X3)
| ~ ron(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_110])]) ).
fof(f955,plain,
! [X3,X1] :
( sK31(X1,X3) != X3
| ~ rline(X1)
| ~ rpoint(X3)
| ~ ron(X3,X1) ),
inference(equality_resolution,[],[f954]) ).
fof(f954,plain,
! [X2,X3,X1] :
( sK31(X1,X2) != X2
| ~ rline(X1)
| ~ rpoint(X3)
| X2 != X3
| ~ ron(X2,X1) ),
inference(equality_resolution,[],[f643]) ).
fof(f643,plain,
! [X2,X3,X0,X1] :
( sK31(X0,X2) != X2
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ ron(X2,X0) ),
inference(cnf_transformation,[],[f475]) ).
fof(f475,plain,
! [X0,X1,X2,X3] :
( ( rpoint(sK31(X0,X2))
& ron(sK31(X0,X2),X0)
& sK31(X0,X2) != X2 )
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ ron(X2,X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK31])],[f294,f474]) ).
fof(f474,plain,
! [X0,X2] :
( ? [X4] :
( rpoint(X4)
& ron(X4,X0)
& X2 != X4 )
=> ( rpoint(sK31(X0,X2))
& ron(sK31(X0,X2),X0)
& sK31(X0,X2) != X2 ) ),
introduced(choice_axiom,[]) ).
fof(f294,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,[],[f293]) ).
fof(f293,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,[],[f151]) ).
fof(f151,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,[],[f101]) ).
fof(f101,axiom,
! [X684,X685,X686,X687] :
( ( rline(X685)
& X684 = X685
& rpoint(X687)
& X686 = X687
& ron(X686,X684) )
=> ? [X688] :
( rpoint(X688)
& ron(X688,X684)
& X686 != X688 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(17), 0), imp(cond(axiom(17), 0)))') ).
fof(f2001,plain,
spl51_109,
inference(avatar_split_clause,[],[f953,f1999]) ).
fof(f953,plain,
! [X3,X1] :
( ron(sK31(X1,X3),X1)
| ~ rline(X1)
| ~ rpoint(X3)
| ~ ron(X3,X1) ),
inference(equality_resolution,[],[f952]) ).
fof(f952,plain,
! [X2,X3,X1] :
( ron(sK31(X1,X2),X1)
| ~ rline(X1)
| ~ rpoint(X3)
| X2 != X3
| ~ ron(X2,X1) ),
inference(equality_resolution,[],[f644]) ).
fof(f644,plain,
! [X2,X3,X0,X1] :
( ron(sK31(X0,X2),X0)
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ ron(X2,X0) ),
inference(cnf_transformation,[],[f475]) ).
fof(f1997,plain,
spl51_108,
inference(avatar_split_clause,[],[f947,f1995]) ).
fof(f947,plain,
! [X3,X1] :
( ron(sK30(X1,X3),X3)
| ~ rcircle(X1)
| ~ rcircle(X3)
| ~ rintersect(X1,X3) ),
inference(equality_resolution,[],[f946]) ).
fof(f946,plain,
! [X2,X3,X1] :
( ron(sK30(X1,X2),X2)
| ~ rcircle(X1)
| ~ rcircle(X3)
| X2 != X3
| ~ rintersect(X1,X2) ),
inference(equality_resolution,[],[f639]) ).
fof(f639,plain,
! [X2,X3,X0,X1] :
( ron(sK30(X0,X2),X2)
| ~ rcircle(X1)
| X0 != X1
| ~ rcircle(X3)
| X2 != X3
| ~ rintersect(X0,X2) ),
inference(cnf_transformation,[],[f473]) ).
fof(f473,plain,
! [X0,X1,X2,X3] :
( ( rpoint(sK30(X0,X2))
& ron(sK30(X0,X2),X0)
& ron(sK30(X0,X2),X2) )
| ~ rcircle(X1)
| X0 != X1
| ~ rcircle(X3)
| X2 != X3
| ~ rintersect(X0,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK30])],[f290,f472]) ).
fof(f472,plain,
! [X0,X2] :
( ? [X4] :
( rpoint(X4)
& ron(X4,X0)
& ron(X4,X2) )
=> ( rpoint(sK30(X0,X2))
& ron(sK30(X0,X2),X0)
& ron(sK30(X0,X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f290,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,[],[f289]) ).
fof(f289,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,[],[f149]) ).
fof(f149,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,[],[f79]) ).
fof(f79,axiom,
! [X539,X540,X541,X542] :
( ( rcircle(X540)
& X539 = X540
& rcircle(X542)
& X541 = X542
& rintersect(X539,X541) )
=> ? [X543] :
( rpoint(X543)
& ron(X543,X539)
& ron(X543,X541) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(65), 0), imp(cond(axiom(65), 0)))') ).
fof(f1993,plain,
spl51_107,
inference(avatar_split_clause,[],[f945,f1991]) ).
fof(f945,plain,
! [X3,X1] :
( ron(sK30(X1,X3),X1)
| ~ rcircle(X1)
| ~ rcircle(X3)
| ~ rintersect(X1,X3) ),
inference(equality_resolution,[],[f944]) ).
fof(f944,plain,
! [X2,X3,X1] :
( ron(sK30(X1,X2),X1)
| ~ rcircle(X1)
| ~ rcircle(X3)
| X2 != X3
| ~ rintersect(X1,X2) ),
inference(equality_resolution,[],[f640]) ).
fof(f640,plain,
! [X2,X3,X0,X1] :
( ron(sK30(X0,X2),X0)
| ~ rcircle(X1)
| X0 != X1
| ~ rcircle(X3)
| X2 != X3
| ~ rintersect(X0,X2) ),
inference(cnf_transformation,[],[f473]) ).
fof(f1989,plain,
spl51_106,
inference(avatar_split_clause,[],[f939,f1987]) ).
fof(f1987,plain,
( spl51_106
<=> ! [X1,X3] :
( ron(sK27(X1,X3),X1)
| ~ rcircle(X1)
| ~ rline(X3)
| ~ rintersect(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_106])]) ).
fof(f939,plain,
! [X3,X1] :
( ron(sK27(X1,X3),X1)
| ~ rcircle(X1)
| ~ rline(X3)
| ~ rintersect(X3,X1) ),
inference(equality_resolution,[],[f938]) ).
fof(f938,plain,
! [X2,X3,X1] :
( ron(sK27(X1,X2),X1)
| ~ rcircle(X1)
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X2,X1) ),
inference(equality_resolution,[],[f628]) ).
fof(f628,plain,
! [X2,X3,X0,X1] :
( ron(sK27(X0,X2),X0)
| ~ rcircle(X1)
| X0 != X1
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X2,X0) ),
inference(cnf_transformation,[],[f467]) ).
fof(f467,plain,
! [X0,X1,X2,X3] :
( ( rpoint(sK27(X0,X2))
& ron(sK27(X0,X2),X2)
& ron(sK27(X0,X2),X0) )
| ~ rcircle(X1)
| X0 != X1
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X2,X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27])],[f286,f466]) ).
fof(f466,plain,
! [X0,X2] :
( ? [X4] :
( rpoint(X4)
& ron(X4,X2)
& ron(X4,X0) )
=> ( rpoint(sK27(X0,X2))
& ron(sK27(X0,X2),X2)
& ron(sK27(X0,X2),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f286,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,[],[f285]) ).
fof(f285,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,[],[f147]) ).
fof(f147,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,[],[f83]) ).
fof(f83,axiom,
! [X568,X569,X570,X571] :
( ( rcircle(X569)
& X568 = X569
& rline(X571)
& X570 = X571
& rintersect(X570,X568) )
=> ? [X572] :
( rpoint(X572)
& ron(X572,X570)
& ron(X572,X568) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(57), 0), imp(cond(axiom(57), 0)))') ).
fof(f1985,plain,
spl51_105,
inference(avatar_split_clause,[],[f937,f1983]) ).
fof(f937,plain,
! [X3,X1] :
( ron(sK27(X1,X3),X3)
| ~ rcircle(X1)
| ~ rline(X3)
| ~ rintersect(X3,X1) ),
inference(equality_resolution,[],[f936]) ).
fof(f936,plain,
! [X2,X3,X1] :
( ron(sK27(X1,X2),X2)
| ~ rcircle(X1)
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X2,X1) ),
inference(equality_resolution,[],[f629]) ).
fof(f629,plain,
! [X2,X3,X0,X1] :
( ron(sK27(X0,X2),X2)
| ~ rcircle(X1)
| X0 != X1
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X2,X0) ),
inference(cnf_transformation,[],[f467]) ).
fof(f1980,plain,
spl51_104,
inference(avatar_split_clause,[],[f933,f1978]) ).
fof(f933,plain,
! [X3,X1] :
( ron(sK26(X1,X3),X3)
| ~ rline(X1)
| ~ rline(X3)
| ~ rintersect(X1,X3) ),
inference(equality_resolution,[],[f932]) ).
fof(f932,plain,
! [X2,X3,X1] :
( ron(sK26(X1,X2),X2)
| ~ rline(X1)
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X1,X2) ),
inference(equality_resolution,[],[f625]) ).
fof(f625,plain,
! [X2,X3,X0,X1] :
( ron(sK26(X0,X2),X2)
| ~ rline(X1)
| X0 != X1
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X0,X2) ),
inference(cnf_transformation,[],[f465]) ).
fof(f465,plain,
! [X0,X1,X2,X3] :
( ( rpoint(sK26(X0,X2))
& ron(sK26(X0,X2),X0)
& ron(sK26(X0,X2),X2) )
| ~ rline(X1)
| X0 != X1
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X0,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f284,f464]) ).
fof(f464,plain,
! [X0,X2] :
( ? [X4] :
( rpoint(X4)
& ron(X4,X0)
& ron(X4,X2) )
=> ( rpoint(sK26(X0,X2))
& ron(sK26(X0,X2),X0)
& ron(sK26(X0,X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f284,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,[],[f283]) ).
fof(f283,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,[],[f146]) ).
fof(f146,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,[],[f84]) ).
fof(f84,axiom,
! [X573,X574,X575,X576] :
( ( rline(X574)
& X573 = X574
& rline(X576)
& X575 = X576
& rintersect(X573,X575) )
=> ? [X577] :
( rpoint(X577)
& ron(X577,X573)
& ron(X577,X575) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(55), 0), imp(cond(axiom(55), 0)))') ).
fof(f1976,plain,
spl51_103,
inference(avatar_split_clause,[],[f931,f1974]) ).
fof(f931,plain,
! [X3,X1] :
( ron(sK26(X1,X3),X1)
| ~ rline(X1)
| ~ rline(X3)
| ~ rintersect(X1,X3) ),
inference(equality_resolution,[],[f930]) ).
fof(f930,plain,
! [X2,X3,X1] :
( ron(sK26(X1,X2),X1)
| ~ rline(X1)
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X1,X2) ),
inference(equality_resolution,[],[f626]) ).
fof(f626,plain,
! [X2,X3,X0,X1] :
( ron(sK26(X0,X2),X0)
| ~ rline(X1)
| X0 != X1
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X0,X2) ),
inference(cnf_transformation,[],[f465]) ).
fof(f1972,plain,
spl51_102,
inference(avatar_split_clause,[],[f920,f1970]) ).
fof(f1970,plain,
( spl51_102
<=> ! [X1,X3] :
( sK24(X1,X3) != X3
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_102])]) ).
fof(f920,plain,
! [X3,X1] :
( sK24(X1,X3) != X3
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X3,X1) ),
inference(equality_resolution,[],[f919]) ).
fof(f919,plain,
! [X2,X3,X1] :
( sK24(X1,X2) != X2
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X2,X1)
| X2 != X3 ),
inference(equality_resolution,[],[f618]) ).
fof(f618,plain,
! [X2,X3,X0,X1] :
( sK24(X0,X2) != X2
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X3)
| ron(X2,X0)
| X2 != X3 ),
inference(cnf_transformation,[],[f461]) ).
fof(f1968,plain,
spl51_101,
inference(avatar_split_clause,[],[f878,f1966]) ).
fof(f1966,plain,
( spl51_101
<=> ! [X6,X4,X5] :
( sK19(X4,X5,X6) != X6
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_101])]) ).
fof(f878,plain,
! [X6,X4,X5] :
( sK19(X4,X5,X6) != X6
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6) ),
inference(equality_resolution,[],[f877]) ).
fof(f877,plain,
! [X2,X6,X4,X5] :
( sK19(X4,X5,X2) != X2
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X2 != X6 ),
inference(equality_resolution,[],[f876]) ).
fof(f876,plain,
! [X2,X1,X6,X4,X5] :
( sK19(X4,X1,X2) != X2
| ~ rpoint(X4)
| ~ rpoint(X5)
| X1 != X5
| ~ rpoint(X6)
| X2 != X6 ),
inference(equality_resolution,[],[f601]) ).
fof(f601,plain,
! [X2,X0,X1,X6,X4,X5] :
( sK19(X0,X1,X2) != X2
| ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X5)
| X1 != X5
| ~ rpoint(X6)
| X2 != X6 ),
inference(cnf_transformation,[],[f448]) ).
fof(f448,plain,
! [X0,X1,X2] :
( ( rpoint(sK19(X0,X1,X2))
& sK19(X0,X1,X2) != X0
& sK19(X0,X1,X2) != X1
& sK19(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,[sK19])],[f446,f447]) ).
fof(f447,plain,
! [X0,X1,X2] :
( ? [X3] :
( rpoint(X3)
& X0 != X3
& X1 != X3
& X2 != X3 )
=> ( rpoint(sK19(X0,X1,X2))
& sK19(X0,X1,X2) != X0
& sK19(X0,X1,X2) != X1
& sK19(X0,X1,X2) != X2 ) ),
introduced(choice_axiom,[]) ).
fof(f446,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,[],[f258]) ).
fof(f258,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,[],[f257]) ).
fof(f257,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,[],[f133]) ).
fof(f133,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,[],[f104]) ).
fof(f104,axiom,
! [X701,X702,X703] :
( ( ? [X706] :
( rpoint(X706)
& X701 = X706 )
& ? [X705] :
( rpoint(X705)
& X702 = X705 )
& ? [X704] :
( rpoint(X704)
& X703 = X704 ) )
=> ? [X707] :
( rpoint(X707)
& X701 != X707
& X702 != X707
& X703 != X707 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(11), 0), imp(cond(axiom(11), 0)))') ).
fof(f1964,plain,
spl51_100,
inference(avatar_split_clause,[],[f875,f1962]) ).
fof(f1962,plain,
( spl51_100
<=> ! [X6,X4,X5] :
( sK19(X4,X5,X6) != X5
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_100])]) ).
fof(f875,plain,
! [X6,X4,X5] :
( sK19(X4,X5,X6) != X5
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6) ),
inference(equality_resolution,[],[f874]) ).
fof(f874,plain,
! [X2,X6,X4,X5] :
( sK19(X4,X5,X2) != X5
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X2 != X6 ),
inference(equality_resolution,[],[f873]) ).
fof(f873,plain,
! [X2,X1,X6,X4,X5] :
( sK19(X4,X1,X2) != X1
| ~ rpoint(X4)
| ~ rpoint(X5)
| X1 != X5
| ~ rpoint(X6)
| X2 != X6 ),
inference(equality_resolution,[],[f602]) ).
fof(f602,plain,
! [X2,X0,X1,X6,X4,X5] :
( sK19(X0,X1,X2) != X1
| ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X5)
| X1 != X5
| ~ rpoint(X6)
| X2 != X6 ),
inference(cnf_transformation,[],[f448]) ).
fof(f1960,plain,
spl51_99,
inference(avatar_split_clause,[],[f872,f1958]) ).
fof(f1958,plain,
( spl51_99
<=> ! [X6,X4,X5] :
( sK19(X4,X5,X6) != X4
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_99])]) ).
fof(f872,plain,
! [X6,X4,X5] :
( sK19(X4,X5,X6) != X4
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6) ),
inference(equality_resolution,[],[f871]) ).
fof(f871,plain,
! [X2,X6,X4,X5] :
( sK19(X4,X5,X2) != X4
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X2 != X6 ),
inference(equality_resolution,[],[f870]) ).
fof(f870,plain,
! [X2,X1,X6,X4,X5] :
( sK19(X4,X1,X2) != X4
| ~ rpoint(X4)
| ~ rpoint(X5)
| X1 != X5
| ~ rpoint(X6)
| X2 != X6 ),
inference(equality_resolution,[],[f603]) ).
fof(f603,plain,
! [X2,X0,X1,X6,X4,X5] :
( sK19(X0,X1,X2) != X0
| ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X5)
| X1 != X5
| ~ rpoint(X6)
| X2 != X6 ),
inference(cnf_transformation,[],[f448]) ).
fof(f1956,plain,
spl51_98,
inference(avatar_split_clause,[],[f830,f1954]) ).
fof(f1954,plain,
( spl51_98
<=> ! [X2,X3] :
( X2 = X3
| vd684 != vf(X2,X3)
| ~ rpoint(X2)
| ~ rpoint(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_98])]) ).
fof(f830,plain,
! [X2,X3] :
( X2 = X3
| vd684 != vf(X2,X3)
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f829]) ).
fof(f829,plain,
! [X2,X3,X1] :
( X1 = X2
| vd684 != vf(X2,X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| X1 != X3 ),
inference(equality_resolution,[],[f789]) ).
fof(f789,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| vd684 != vf(X0,X1)
| ~ rpoint(X2)
| X0 != X2
| ~ rpoint(X3)
| X1 != X3 ),
inference(definition_unfolding,[],[f586,f539]) ).
fof(f586,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| v0 != vf(X0,X1)
| ~ rpoint(X2)
| X0 != X2
| ~ rpoint(X3)
| X1 != X3 ),
inference(cnf_transformation,[],[f439]) ).
fof(f439,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,[],[f244]) ).
fof(f244,plain,
! [X0,X1] :
( ( v0 = vf(X0,X1)
<=> X0 = X1 )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(flattening,[],[f243]) ).
fof(f243,plain,
! [X0,X1] :
( ( v0 = vf(X0,X1)
<=> X0 = X1 )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(ennf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0,X1] :
( ( ? [X2] :
( rpoint(X2)
& X0 = X2 )
& ? [X3] :
( rpoint(X3)
& X1 = X3 ) )
=> ( v0 = vf(X0,X1)
<=> X0 = X1 ) ),
inference(rectify,[],[f30]) ).
fof(f30,axiom,
! [X201,X202] :
( ( ? [X204] :
( rpoint(X204)
& X201 = X204 )
& ? [X203] :
( rpoint(X203)
& X202 = X203 ) )
=> ( v0 = vf(X201,X202)
<=> X201 = X202 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))') ).
fof(f1952,plain,
spl51_97,
inference(avatar_split_clause,[],[f806,f1950]) ).
fof(f806,plain,
! [X3,X4] :
( ron(X4,sK9(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 = X4 ),
inference(equality_resolution,[],[f805]) ).
fof(f805,plain,
! [X3,X1,X4] :
( ron(X1,sK9(X3,X1))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4
| X1 = X3 ),
inference(equality_resolution,[],[f560]) ).
fof(f560,plain,
! [X3,X0,X1,X4] :
( ron(X1,sK9(X0,X1))
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4
| X0 = X1 ),
inference(cnf_transformation,[],[f424]) ).
fof(f424,plain,
! [X0,X1] :
( ( rline(sK9(X0,X1))
& ron(X0,sK9(X0,X1))
& ron(X1,sK9(X0,X1)) )
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 )
| X0 = X1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f422,f423]) ).
fof(f423,plain,
! [X0,X1] :
( ? [X2] :
( rline(X2)
& ron(X0,X2)
& ron(X1,X2) )
=> ( rline(sK9(X0,X1))
& ron(X0,sK9(X0,X1))
& ron(X1,sK9(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f422,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,[],[f222]) ).
fof(f222,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,[],[f221]) ).
fof(f221,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,[],[f113]) ).
fof(f113,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,[],[f33]) ).
fof(f33,axiom,
! [X216,X217] :
( ( ? [X219] :
( rpoint(X219)
& X216 = X219 )
& ? [X218] :
( rpoint(X218)
& X217 = X218 )
& X216 != X217 )
=> ? [X220] :
( rline(X220)
& ron(X216,X220)
& ron(X217,X220) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))') ).
fof(f1948,plain,
spl51_96,
inference(avatar_split_clause,[],[f804,f1946]) ).
fof(f804,plain,
! [X3,X4] :
( ron(X3,sK9(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 = X4 ),
inference(equality_resolution,[],[f803]) ).
fof(f803,plain,
! [X3,X1,X4] :
( ron(X3,sK9(X3,X1))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4
| X1 = X3 ),
inference(equality_resolution,[],[f561]) ).
fof(f561,plain,
! [X3,X0,X1,X4] :
( ron(X0,sK9(X0,X1))
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4
| X0 = X1 ),
inference(cnf_transformation,[],[f424]) ).
fof(f1944,plain,
spl51_95,
inference(avatar_split_clause,[],[f800,f1942]) ).
fof(f800,plain,
! [X3,X4] :
( ron(X4,sK8(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 = X4 ),
inference(equality_resolution,[],[f799]) ).
fof(f799,plain,
! [X3,X1,X4] :
( ron(X1,sK8(X3,X1))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4
| X1 = X3 ),
inference(equality_resolution,[],[f557]) ).
fof(f557,plain,
! [X3,X0,X1,X4] :
( ron(X1,sK8(X0,X1))
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4
| X0 = X1 ),
inference(cnf_transformation,[],[f421]) ).
fof(f421,plain,
! [X0,X1] :
( ( rcircle(sK8(X0,X1))
& rcenter(X0,sK8(X0,X1))
& ron(X1,sK8(X0,X1)) )
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 )
| X0 = X1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f419,f420]) ).
fof(f420,plain,
! [X0,X1] :
( ? [X2] :
( rcircle(X2)
& rcenter(X0,X2)
& ron(X1,X2) )
=> ( rcircle(sK8(X0,X1))
& rcenter(X0,sK8(X0,X1))
& ron(X1,sK8(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f419,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,[],[f220]) ).
fof(f220,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,[],[f219]) ).
fof(f219,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,[],[f112]) ).
fof(f112,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,[],[f8]) ).
fof(f8,axiom,
! [X1,X2] :
( ( ? [X4] :
( rpoint(X4)
& X1 = X4 )
& ? [X3] :
( rpoint(X3)
& X2 = X3 )
& X1 != X2 )
=> ? [X5] :
( rcircle(X5)
& rcenter(X1,X5)
& ron(X2,X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(53), 0), imp(cond(axiom(53), 0)))') ).
fof(f1939,plain,
spl51_94,
inference(avatar_split_clause,[],[f798,f1937]) ).
fof(f798,plain,
! [X3,X4] :
( rcenter(X3,sK8(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 = X4 ),
inference(equality_resolution,[],[f797]) ).
fof(f797,plain,
! [X3,X1,X4] :
( rcenter(X3,sK8(X3,X1))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4
| X1 = X3 ),
inference(equality_resolution,[],[f558]) ).
fof(f558,plain,
! [X3,X0,X1,X4] :
( rcenter(X0,sK8(X0,X1))
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4
| X0 = X1 ),
inference(cnf_transformation,[],[f421]) ).
fof(f1935,plain,
spl51_93,
inference(avatar_split_clause,[],[f747,f1933]) ).
fof(f1933,plain,
( spl51_93
<=> ! [X0,X3,X2,X1] :
( sK46(X0,X1,X2,X3) != X1
| ~ sP3(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_93])]) ).
fof(f747,plain,
! [X2,X3,X0,X1] :
( sK46(X0,X1,X2,X3) != X1
| ~ sP3(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f523]) ).
fof(f1931,plain,
spl51_92,
inference(avatar_split_clause,[],[f746,f1929]) ).
fof(f1929,plain,
( spl51_92
<=> ! [X0,X3,X2,X1] :
( sK46(X0,X1,X2,X3) != X2
| ~ sP3(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_92])]) ).
fof(f746,plain,
! [X2,X3,X0,X1] :
( sK46(X0,X1,X2,X3) != X2
| ~ sP3(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f523]) ).
fof(f1927,plain,
spl51_91,
inference(avatar_split_clause,[],[f745,f1925]) ).
fof(f1925,plain,
( spl51_91
<=> ! [X0,X3,X2,X1] :
( sK46(X0,X1,X2,X3) != X3
| ~ sP3(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_91])]) ).
fof(f745,plain,
! [X2,X3,X0,X1] :
( sK46(X0,X1,X2,X3) != X3
| ~ sP3(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f523]) ).
fof(f1923,plain,
spl51_90,
inference(avatar_split_clause,[],[f669,f1921]) ).
fof(f1921,plain,
( spl51_90
<=> ! [X0,X3,X2,X1] :
( sK36(X0,X1,X2,X3) != X0
| ~ sP2(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_90])]) ).
fof(f669,plain,
! [X2,X3,X0,X1] :
( sK36(X0,X1,X2,X3) != X0
| ~ sP2(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f489]) ).
fof(f489,plain,
! [X0,X1,X2,X3] :
( ( rpoint(sK36(X0,X1,X2,X3))
& sK36(X0,X1,X2,X3) != X0
& sK36(X0,X1,X2,X3) != X1
& sK36(X0,X1,X2,X3) != X2
& sK36(X0,X1,X2,X3) != X3 )
| ~ sP2(X0,X1,X2,X3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK36])],[f487,f488]) ).
fof(f488,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( rpoint(X4)
& X0 != X4
& X1 != X4
& X2 != X4
& X3 != X4 )
=> ( rpoint(sK36(X0,X1,X2,X3))
& sK36(X0,X1,X2,X3) != X0
& sK36(X0,X1,X2,X3) != X1
& sK36(X0,X1,X2,X3) != X2
& sK36(X0,X1,X2,X3) != X3 ) ),
introduced(choice_axiom,[]) ).
fof(f487,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( rpoint(X4)
& X0 != X4
& X1 != X4
& X2 != X4
& X3 != X4 )
| ~ sP2(X0,X1,X2,X3) ),
inference(rectify,[],[f486]) ).
fof(f486,plain,
! [X0,X1,X2,X3] :
( ? [X8] :
( rpoint(X8)
& X0 != X8
& X1 != X8
& X2 != X8
& X3 != X8 )
| ~ sP2(X0,X1,X2,X3) ),
inference(nnf_transformation,[],[f409]) ).
fof(f1919,plain,
spl51_89,
inference(avatar_split_clause,[],[f668,f1917]) ).
fof(f1917,plain,
( spl51_89
<=> ! [X0,X3,X2,X1] :
( sK36(X0,X1,X2,X3) != X1
| ~ sP2(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_89])]) ).
fof(f668,plain,
! [X2,X3,X0,X1] :
( sK36(X0,X1,X2,X3) != X1
| ~ sP2(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f489]) ).
fof(f1915,plain,
spl51_88,
inference(avatar_split_clause,[],[f667,f1913]) ).
fof(f1913,plain,
( spl51_88
<=> ! [X0,X3,X2,X1] :
( sK36(X0,X1,X2,X3) != X2
| ~ sP2(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_88])]) ).
fof(f667,plain,
! [X2,X3,X0,X1] :
( sK36(X0,X1,X2,X3) != X2
| ~ sP2(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f489]) ).
fof(f1911,plain,
spl51_87,
inference(avatar_split_clause,[],[f666,f1909]) ).
fof(f1909,plain,
( spl51_87
<=> ! [X0,X3,X2,X1] :
( sK36(X0,X1,X2,X3) != X3
| ~ sP2(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_87])]) ).
fof(f666,plain,
! [X2,X3,X0,X1] :
( sK36(X0,X1,X2,X3) != X3
| ~ sP2(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f489]) ).
fof(f1899,plain,
( spl51_86
| ~ spl51_1
| ~ spl51_3
| ~ spl51_79 ),
inference(avatar_split_clause,[],[f1881,f1795,f1428,f1418,f1897]) ).
fof(f1897,plain,
( spl51_86
<=> ! [X0] :
( ~ rcenter(X0,sK5)
| vd1058 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_86])]) ).
fof(f1881,plain,
( ! [X0] :
( ~ rcircle(sK5)
| ~ rcenter(X0,sK5)
| vd1058 = X0 )
| ~ spl51_3
| ~ spl51_79 ),
inference(resolution,[],[f1796,f1430]) ).
fof(f1822,plain,
spl51_85,
inference(avatar_split_clause,[],[f957,f1820]) ).
fof(f957,plain,
! [X3,X1] :
( rpoint(sK32(X1,X3))
| ~ rcircle(X1)
| ~ rpoint(X3)
| ~ ron(X3,X1) ),
inference(equality_resolution,[],[f956]) ).
fof(f956,plain,
! [X2,X3,X1] :
( rpoint(sK32(X1,X2))
| ~ rcircle(X1)
| ~ rpoint(X3)
| X2 != X3
| ~ ron(X2,X1) ),
inference(equality_resolution,[],[f648]) ).
fof(f648,plain,
! [X2,X3,X0,X1] :
( rpoint(sK32(X0,X2))
| ~ rcircle(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ ron(X2,X0) ),
inference(cnf_transformation,[],[f477]) ).
fof(f1818,plain,
spl51_84,
inference(avatar_split_clause,[],[f951,f1816]) ).
fof(f951,plain,
! [X3,X1] :
( rpoint(sK31(X1,X3))
| ~ rline(X1)
| ~ rpoint(X3)
| ~ ron(X3,X1) ),
inference(equality_resolution,[],[f950]) ).
fof(f950,plain,
! [X2,X3,X1] :
( rpoint(sK31(X1,X2))
| ~ rline(X1)
| ~ rpoint(X3)
| X2 != X3
| ~ ron(X2,X1) ),
inference(equality_resolution,[],[f645]) ).
fof(f645,plain,
! [X2,X3,X0,X1] :
( rpoint(sK31(X0,X2))
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ ron(X2,X0) ),
inference(cnf_transformation,[],[f475]) ).
fof(f1814,plain,
( ~ spl51_83
| ~ spl51_1
| ~ spl51_7
| ~ spl51_29
| ~ spl51_64 ),
inference(avatar_split_clause,[],[f1735,f1716,f1548,f1448,f1418,f1811]) ).
fof(f1811,plain,
( spl51_83
<=> ron(vd1058,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_83])]) ).
fof(f1735,plain,
( ~ rpoint(vd1058)
| ~ rcircle(sK5)
| ~ ron(vd1058,sK5)
| ~ spl51_29
| ~ spl51_64 ),
inference(resolution,[],[f1717,f1550]) ).
fof(f1809,plain,
spl51_82,
inference(avatar_split_clause,[],[f943,f1807]) ).
fof(f943,plain,
! [X3,X1] :
( rpoint(sK30(X1,X3))
| ~ rcircle(X1)
| ~ rcircle(X3)
| ~ rintersect(X1,X3) ),
inference(equality_resolution,[],[f942]) ).
fof(f942,plain,
! [X2,X3,X1] :
( rpoint(sK30(X1,X2))
| ~ rcircle(X1)
| ~ rcircle(X3)
| X2 != X3
| ~ rintersect(X1,X2) ),
inference(equality_resolution,[],[f641]) ).
fof(f641,plain,
! [X2,X3,X0,X1] :
( rpoint(sK30(X0,X2))
| ~ rcircle(X1)
| X0 != X1
| ~ rcircle(X3)
| X2 != X3
| ~ rintersect(X0,X2) ),
inference(cnf_transformation,[],[f473]) ).
fof(f1805,plain,
spl51_81,
inference(avatar_split_clause,[],[f935,f1803]) ).
fof(f935,plain,
! [X3,X1] :
( rpoint(sK27(X1,X3))
| ~ rcircle(X1)
| ~ rline(X3)
| ~ rintersect(X3,X1) ),
inference(equality_resolution,[],[f934]) ).
fof(f934,plain,
! [X2,X3,X1] :
( rpoint(sK27(X1,X2))
| ~ rcircle(X1)
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X2,X1) ),
inference(equality_resolution,[],[f630]) ).
fof(f630,plain,
! [X2,X3,X0,X1] :
( rpoint(sK27(X0,X2))
| ~ rcircle(X1)
| X0 != X1
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X2,X0) ),
inference(cnf_transformation,[],[f467]) ).
fof(f1801,plain,
spl51_80,
inference(avatar_split_clause,[],[f929,f1799]) ).
fof(f929,plain,
! [X3,X1] :
( rpoint(sK26(X1,X3))
| ~ rline(X1)
| ~ rline(X3)
| ~ rintersect(X1,X3) ),
inference(equality_resolution,[],[f928]) ).
fof(f928,plain,
! [X2,X3,X1] :
( rpoint(sK26(X1,X2))
| ~ rline(X1)
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X1,X2) ),
inference(equality_resolution,[],[f627]) ).
fof(f627,plain,
! [X2,X3,X0,X1] :
( rpoint(sK26(X0,X2))
| ~ rline(X1)
| X0 != X1
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X0,X2) ),
inference(cnf_transformation,[],[f465]) ).
fof(f1797,plain,
spl51_79,
inference(avatar_split_clause,[],[f927,f1795]) ).
fof(f927,plain,
! [X2,X3,X1] :
( X2 = X3
| ~ rcircle(X1)
| ~ rcenter(X2,X1)
| ~ rcenter(X3,X1) ),
inference(equality_resolution,[],[f624]) ).
fof(f624,plain,
! [X2,X3,X0,X1] :
( X2 = X3
| ~ rcircle(X1)
| X0 != X1
| ~ rcenter(X2,X0)
| ~ rcenter(X3,X0) ),
inference(cnf_transformation,[],[f282]) ).
fof(f282,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| ~ rcircle(X1)
| X0 != X1
| ~ rcenter(X2,X0)
| ~ rcenter(X3,X0) ),
inference(flattening,[],[f281]) ).
fof(f281,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| ~ rcircle(X1)
| X0 != X1
| ~ rcenter(X2,X0)
| ~ rcenter(X3,X0) ),
inference(ennf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0,X1,X2,X3] :
( ( rcircle(X1)
& X0 = X1
& rcenter(X2,X0)
& rcenter(X3,X0) )
=> X2 = X3 ),
inference(rectify,[],[f74]) ).
fof(f74,axiom,
! [X501,X502,X503,X504] :
( ( rcircle(X502)
& X501 = X502
& rcenter(X503,X501)
& rcenter(X504,X501) )
=> X503 = X504 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(75), 0), imp(cond(axiom(75), 0)))') ).
fof(f1793,plain,
spl51_78,
inference(avatar_split_clause,[],[f922,f1791]) ).
fof(f922,plain,
! [X3,X1] :
( rpoint(sK25(X1,X3))
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X3,X1) ),
inference(equality_resolution,[],[f921]) ).
fof(f921,plain,
! [X2,X3,X1] :
( rpoint(sK25(X1,X2))
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X2,X1)
| X2 != X3 ),
inference(equality_resolution,[],[f622]) ).
fof(f622,plain,
! [X2,X3,X0,X1] :
( rpoint(sK25(X0,X2))
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X3)
| ron(X2,X0)
| X2 != X3 ),
inference(cnf_transformation,[],[f463]) ).
fof(f1789,plain,
spl51_77,
inference(avatar_split_clause,[],[f916,f1787]) ).
fof(f916,plain,
! [X3,X1] :
( rpoint(sK24(X1,X3))
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X3,X1) ),
inference(equality_resolution,[],[f915]) ).
fof(f915,plain,
! [X2,X3,X1] :
( rpoint(sK24(X1,X2))
| ~ rline(X1)
| ~ rpoint(X3)
| ron(X2,X1)
| X2 != X3 ),
inference(equality_resolution,[],[f620]) ).
fof(f620,plain,
! [X2,X3,X0,X1] :
( rpoint(sK24(X0,X2))
| ~ rline(X1)
| X0 != X1
| ~ rpoint(X3)
| ron(X2,X0)
| X2 != X3 ),
inference(cnf_transformation,[],[f461]) ).
fof(f1785,plain,
spl51_76,
inference(avatar_split_clause,[],[f914,f1783]) ).
fof(f914,plain,
! [X3,X1] :
( vplus(X1,X3) = sK23(X1,X3)
| ~ rreal(X1)
| ~ rreal(X3) ),
inference(equality_resolution,[],[f913]) ).
fof(f913,plain,
! [X2,X3,X1] :
( vplus(X1,X2) = sK23(X1,X2)
| ~ rreal(X1)
| ~ rreal(X3)
| X2 != X3 ),
inference(equality_resolution,[],[f616]) ).
fof(f616,plain,
! [X2,X3,X0,X1] :
( vplus(X0,X2) = sK23(X0,X2)
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3 ),
inference(cnf_transformation,[],[f459]) ).
fof(f459,plain,
! [X0,X1,X2,X3] :
( ( rreal(sK23(X0,X2))
& vplus(X0,X2) = sK23(X0,X2) )
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23])],[f274,f458]) ).
fof(f458,plain,
! [X0,X2] :
( ? [X4] :
( rreal(X4)
& vplus(X0,X2) = X4 )
=> ( rreal(sK23(X0,X2))
& vplus(X0,X2) = sK23(X0,X2) ) ),
introduced(choice_axiom,[]) ).
fof(f274,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( rreal(X4)
& vplus(X0,X2) = X4 )
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3 ),
inference(flattening,[],[f273]) ).
fof(f273,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( rreal(X4)
& vplus(X0,X2) = X4 )
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3 ),
inference(ennf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0,X1,X2,X3] :
( ( rreal(X1)
& X0 = X1
& rreal(X3)
& X2 = X3 )
=> ? [X4] :
( rreal(X4)
& vplus(X0,X2) = X4 ) ),
inference(rectify,[],[f41]) ).
fof(f41,axiom,
! [X249,X250,X251,X252] :
( ( rreal(X250)
& X249 = X250
& rreal(X252)
& X251 = X252 )
=> ? [X253] :
( rreal(X253)
& vplus(X249,X251) = X253 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(139), 0), imp(cond(axiom(139), 0)))') ).
fof(f1781,plain,
spl51_75,
inference(avatar_split_clause,[],[f908,f1779]) ).
fof(f908,plain,
! [X3,X1] :
( vplus(X1,X3) = vplus(X3,X1)
| ~ rreal(X1)
| ~ rreal(X3) ),
inference(equality_resolution,[],[f907]) ).
fof(f907,plain,
! [X2,X3,X1] :
( vplus(X1,X2) = vplus(X2,X1)
| ~ rreal(X1)
| ~ rreal(X3)
| X2 != X3 ),
inference(equality_resolution,[],[f614]) ).
fof(f614,plain,
! [X2,X3,X0,X1] :
( vplus(X0,X2) = vplus(X2,X0)
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3 ),
inference(cnf_transformation,[],[f270]) ).
fof(f270,plain,
! [X0,X1,X2,X3] :
( vplus(X0,X2) = vplus(X2,X0)
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3 ),
inference(flattening,[],[f269]) ).
fof(f269,plain,
! [X0,X1,X2,X3] :
( vplus(X0,X2) = vplus(X2,X0)
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3 ),
inference(ennf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0,X1,X2,X3] :
( ( rreal(X1)
& X0 = X1
& rreal(X3)
& X2 = X3 )
=> vplus(X0,X2) = vplus(X2,X0) ),
inference(rectify,[],[f39]) ).
fof(f39,axiom,
! [X243,X244,X245,X246] :
( ( rreal(X244)
& X243 = X244
& rreal(X246)
& X245 = X246 )
=> vplus(X243,X245) = vplus(X245,X243) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(143), 0), imp(cond(axiom(143), 0)))') ).
fof(f1777,plain,
spl51_74,
inference(avatar_split_clause,[],[f906,f1775]) ).
fof(f1775,plain,
( spl51_74
<=> ! [X1,X3] :
( rS(X1,X1,X3)
| ~ rpoint(X1)
| ~ rline(X3)
| ron(X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_74])]) ).
fof(f906,plain,
! [X3,X1] :
( rS(X1,X1,X3)
| ~ rpoint(X1)
| ~ rline(X3)
| ron(X1,X3) ),
inference(equality_resolution,[],[f905]) ).
fof(f905,plain,
! [X2,X3,X1] :
( rS(X1,X1,X2)
| ~ rpoint(X1)
| ~ rline(X3)
| X2 != X3
| ron(X1,X2) ),
inference(equality_resolution,[],[f613]) ).
fof(f613,plain,
! [X2,X3,X0,X1] :
( rS(X0,X0,X2)
| ~ rpoint(X1)
| X0 != X1
| ~ rline(X3)
| X2 != X3
| ron(X0,X2) ),
inference(cnf_transformation,[],[f268]) ).
fof(f268,plain,
! [X0,X1,X2,X3] :
( rS(X0,X0,X2)
| ~ rpoint(X1)
| X0 != X1
| ~ rline(X3)
| X2 != X3
| ron(X0,X2) ),
inference(flattening,[],[f267]) ).
fof(f267,plain,
! [X0,X1,X2,X3] :
( rS(X0,X0,X2)
| ~ rpoint(X1)
| X0 != X1
| ~ rline(X3)
| X2 != X3
| ron(X0,X2) ),
inference(ennf_transformation,[],[f138]) ).
fof(f138,plain,
! [X0,X1,X2,X3] :
( ( rpoint(X1)
& X0 = X1
& rline(X3)
& X2 = X3
& ~ ron(X0,X2) )
=> rS(X0,X0,X2) ),
inference(rectify,[],[f64]) ).
fof(f64,axiom,
! [X437,X438,X439,X440] :
( ( rpoint(X438)
& X437 = X438
& rline(X440)
& X439 = X440
& ~ ron(X437,X439) )
=> rS(X437,X437,X439) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(95), 0), imp(cond(axiom(95), 0)))') ).
fof(f1773,plain,
spl51_73,
inference(avatar_split_clause,[],[f881,f1771]) ).
fof(f881,plain,
! [X6,X4,X5] :
( rreal(sK20(X4,X5,X6))
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6) ),
inference(equality_resolution,[],[f880]) ).
fof(f880,plain,
! [X2,X6,X4,X5] :
( rreal(sK20(X4,X5,X2))
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X2 != X6 ),
inference(equality_resolution,[],[f879]) ).
fof(f879,plain,
! [X2,X1,X6,X4,X5] :
( rreal(sK20(X4,X1,X2))
| ~ rpoint(X4)
| ~ rpoint(X5)
| X1 != X5
| ~ rpoint(X6)
| X2 != X6 ),
inference(equality_resolution,[],[f606]) ).
fof(f606,plain,
! [X2,X0,X1,X6,X4,X5] :
( rreal(sK20(X0,X1,X2))
| ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X5)
| X1 != X5
| ~ rpoint(X6)
| X2 != X6 ),
inference(cnf_transformation,[],[f451]) ).
fof(f1768,plain,
spl51_72,
inference(avatar_split_clause,[],[f869,f1766]) ).
fof(f869,plain,
! [X6,X4,X5] :
( rpoint(sK19(X4,X5,X6))
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6) ),
inference(equality_resolution,[],[f868]) ).
fof(f868,plain,
! [X2,X6,X4,X5] :
( rpoint(sK19(X4,X5,X2))
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X2 != X6 ),
inference(equality_resolution,[],[f867]) ).
fof(f867,plain,
! [X2,X1,X6,X4,X5] :
( rpoint(sK19(X4,X1,X2))
| ~ rpoint(X4)
| ~ rpoint(X5)
| X1 != X5
| ~ rpoint(X6)
| X2 != X6 ),
inference(equality_resolution,[],[f604]) ).
fof(f604,plain,
! [X2,X0,X1,X6,X4,X5] :
( rpoint(sK19(X0,X1,X2))
| ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X5)
| X1 != X5
| ~ rpoint(X6)
| X2 != X6 ),
inference(cnf_transformation,[],[f448]) ).
fof(f1764,plain,
spl51_71,
inference(avatar_split_clause,[],[f840,f1762]) ).
fof(f840,plain,
! [X3,X4] :
( vf(X3,X4) = sK18(X3,X4)
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f839]) ).
fof(f839,plain,
! [X3,X1,X4] :
( sK18(X3,X1) = vf(X3,X1)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4 ),
inference(equality_resolution,[],[f591]) ).
fof(f591,plain,
! [X3,X0,X1,X4] :
( vf(X0,X1) = sK18(X0,X1)
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4 ),
inference(cnf_transformation,[],[f445]) ).
fof(f445,plain,
! [X0,X1] :
( ( rreal(sK18(X0,X1))
& vf(X0,X1) = sK18(X0,X1) )
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f443,f444]) ).
fof(f444,plain,
! [X0,X1] :
( ? [X2] :
( rreal(X2)
& vf(X0,X1) = X2 )
=> ( rreal(sK18(X0,X1))
& vf(X0,X1) = sK18(X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f443,plain,
! [X0,X1] :
( ? [X2] :
( rreal(X2)
& vf(X0,X1) = X2 )
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 ) ),
inference(rectify,[],[f248]) ).
fof(f248,plain,
! [X0,X1] :
( ? [X4] :
( rreal(X4)
& vf(X0,X1) = X4 )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(flattening,[],[f247]) ).
fof(f247,plain,
! [X0,X1] :
( ? [X4] :
( rreal(X4)
& vf(X0,X1) = X4 )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(ennf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0,X1] :
( ( ? [X2] :
( rpoint(X2)
& X0 = X2 )
& ? [X3] :
( rpoint(X3)
& X1 = X3 ) )
=> ? [X4] :
( rreal(X4)
& vf(X0,X1) = X4 ) ),
inference(rectify,[],[f31]) ).
fof(f31,axiom,
! [X205,X206] :
( ( ? [X208] :
( rpoint(X208)
& X205 = X208 )
& ? [X207] :
( rpoint(X207)
& X206 = X207 ) )
=> ? [X209] :
( rreal(X209)
& vf(X205,X206) = X209 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))') ).
fof(f1760,plain,
spl51_70,
inference(avatar_split_clause,[],[f825,f1758]) ).
fof(f825,plain,
! [X2,X3] :
( vf(X3,X2) = vf(X2,X3)
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f824]) ).
fof(f824,plain,
! [X2,X3,X1] :
( vf(X1,X2) = vf(X2,X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| X1 != X3 ),
inference(equality_resolution,[],[f585]) ).
fof(f585,plain,
! [X2,X3,X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ~ rpoint(X2)
| X0 != X2
| ~ rpoint(X3)
| X1 != X3 ),
inference(cnf_transformation,[],[f242]) ).
fof(f242,plain,
! [X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(flattening,[],[f241]) ).
fof(f241,plain,
! [X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(ennf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0,X1] :
( ( ? [X2] :
( rpoint(X2)
& X0 = X2 )
& ? [X3] :
( rpoint(X3)
& X1 = X3 ) )
=> vf(X0,X1) = vf(X1,X0) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
! [X193,X194] :
( ( ? [X196] :
( rpoint(X196)
& X193 = X196 )
& ? [X195] :
( rpoint(X195)
& X194 = X195 ) )
=> vf(X193,X194) = vf(X194,X193) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))') ).
fof(f1756,plain,
spl51_69,
inference(avatar_split_clause,[],[f802,f1754]) ).
fof(f802,plain,
! [X3,X4] :
( rline(sK9(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 = X4 ),
inference(equality_resolution,[],[f801]) ).
fof(f801,plain,
! [X3,X1,X4] :
( rline(sK9(X3,X1))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4
| X1 = X3 ),
inference(equality_resolution,[],[f562]) ).
fof(f562,plain,
! [X3,X0,X1,X4] :
( rline(sK9(X0,X1))
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4
| X0 = X1 ),
inference(cnf_transformation,[],[f424]) ).
fof(f1752,plain,
spl51_68,
inference(avatar_split_clause,[],[f796,f1750]) ).
fof(f1750,plain,
( spl51_68
<=> ! [X4,X3] :
( rcircle(sK8(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_68])]) ).
fof(f796,plain,
! [X3,X4] :
( rcircle(sK8(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 = X4 ),
inference(equality_resolution,[],[f795]) ).
fof(f795,plain,
! [X3,X1,X4] :
( rcircle(sK8(X3,X1))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4
| X1 = X3 ),
inference(equality_resolution,[],[f559]) ).
fof(f559,plain,
! [X3,X0,X1,X4] :
( rcircle(sK8(X0,X1))
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4
| X0 = X1 ),
inference(cnf_transformation,[],[f421]) ).
fof(f1748,plain,
spl51_67,
inference(avatar_split_clause,[],[f785,f1746]) ).
fof(f785,plain,
! [X0] :
( vskolem1061 = X0
| ~ rcircle(X0)
| ~ rcenter(vd1056,X0)
| ~ ron(vd1058,X0) ),
inference(definition_unfolding,[],[f551,f543,f540]) ).
fof(f540,plain,
vd1057 = vd1058,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
( rpoint(vd1056)
& vd1055 = vd1056
& rpoint(vd1058)
& vd1055 != vd1057
& vd1057 = vd1058 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','and(pred(conjunct2(210), 4), and(holds(conjunct2(210), 1059, 0), and(pred(conjunct2(210), 1), and(pred(conjunct1(210), 2), pred(conjunct1(210), 1)))))') ).
fof(f543,plain,
vd1055 = vd1056,
inference(cnf_transformation,[],[f7]) ).
fof(f551,plain,
! [X0] :
( vskolem1061 = X0
| ~ rcircle(X0)
| ~ rcenter(vd1055,X0)
| ~ ron(vd1057,X0) ),
inference(cnf_transformation,[],[f216]) ).
fof(f216,plain,
! [X0] :
( vskolem1061 = X0
| ~ rcircle(X0)
| ~ rcenter(vd1055,X0)
| ~ ron(vd1057,X0) ),
inference(flattening,[],[f215]) ).
fof(f215,plain,
! [X0] :
( vskolem1061 = X0
| ~ rcircle(X0)
| ~ rcenter(vd1055,X0)
| ~ ron(vd1057,X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( ( rcircle(X0)
& rcenter(vd1055,X0)
& ron(vd1057,X0) )
=> vskolem1061 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','replace(qu(theu(the(211), 1), imp(the(211))))') ).
fof(f1744,plain,
spl51_66,
inference(avatar_split_clause,[],[f749,f1742]) ).
fof(f749,plain,
! [X2,X3,X0,X1] :
( rpoint(sK46(X0,X1,X2,X3))
| ~ sP3(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f523]) ).
fof(f1740,plain,
spl51_65,
inference(avatar_split_clause,[],[f670,f1738]) ).
fof(f670,plain,
! [X2,X3,X0,X1] :
( rpoint(sK36(X0,X1,X2,X3))
| ~ sP2(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f489]) ).
fof(f1718,plain,
spl51_64,
inference(avatar_split_clause,[],[f949,f1716]) ).
fof(f949,plain,
! [X3,X1] :
( ~ ron(X1,X3)
| ~ rpoint(X1)
| ~ rcircle(X3)
| ~ rinside(X1,X3) ),
inference(equality_resolution,[],[f948]) ).
fof(f948,plain,
! [X2,X3,X1] :
( ~ ron(X1,X2)
| ~ rpoint(X1)
| ~ rcircle(X3)
| X2 != X3
| ~ rinside(X1,X2) ),
inference(equality_resolution,[],[f642]) ).
fof(f642,plain,
! [X2,X3,X0,X1] :
( ~ ron(X0,X2)
| ~ rpoint(X1)
| X0 != X1
| ~ rcircle(X3)
| X2 != X3
| ~ rinside(X0,X2) ),
inference(cnf_transformation,[],[f292]) ).
fof(f292,plain,
! [X0,X1,X2,X3] :
( ~ ron(X0,X2)
| ~ rpoint(X1)
| X0 != X1
| ~ rcircle(X3)
| X2 != X3
| ~ rinside(X0,X2) ),
inference(flattening,[],[f291]) ).
fof(f291,plain,
! [X0,X1,X2,X3] :
( ~ ron(X0,X2)
| ~ rpoint(X1)
| X0 != X1
| ~ rcircle(X3)
| X2 != X3
| ~ rinside(X0,X2) ),
inference(ennf_transformation,[],[f150]) ).
fof(f150,plain,
! [X0,X1,X2,X3] :
( ( rpoint(X1)
& X0 = X1
& rcircle(X3)
& X2 = X3
& rinside(X0,X2) )
=> ~ ron(X0,X2) ),
inference(rectify,[],[f72]) ).
fof(f72,axiom,
! [X495,X496,X497,X498] :
( ( rpoint(X496)
& X495 = X496
& rcircle(X498)
& X497 = X498
& rinside(X495,X497) )
=> ~ ron(X495,X497) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(79), 0), imp(cond(axiom(79), 0)))') ).
fof(f1714,plain,
spl51_63,
inference(avatar_split_clause,[],[f941,f1712]) ).
fof(f941,plain,
! [X3,X1] :
( sP1(X3,X1)
| ~ rcircle(X1)
| ~ rline(X3)
| ~ rintersect(X3,X1) ),
inference(equality_resolution,[],[f940]) ).
fof(f940,plain,
! [X2,X3,X1] :
( sP1(X2,X1)
| ~ rcircle(X1)
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X2,X1) ),
inference(equality_resolution,[],[f638]) ).
fof(f638,plain,
! [X2,X3,X0,X1] :
( sP1(X2,X0)
| ~ rcircle(X1)
| X0 != X1
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X2,X0) ),
inference(cnf_transformation,[],[f408]) ).
fof(f408,plain,
! [X0,X1,X2,X3] :
( sP1(X2,X0)
| ~ rcircle(X1)
| X0 != X1
| ~ rline(X3)
| X2 != X3
| ~ rintersect(X2,X0) ),
inference(definition_folding,[],[f288,f407]) ).
fof(f407,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(f288,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,[],[f287]) ).
fof(f287,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,[],[f148]) ).
fof(f148,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,[],[f82]) ).
fof(f82,axiom,
! [X562,X563,X564,X565] :
( ( rcircle(X563)
& X562 = X563
& rline(X565)
& X564 = X565
& rintersect(X564,X562) )
=> ? [X566,X567] :
( rpoint(X566)
& ron(X566,X564)
& ron(X566,X562)
& rpoint(X567)
& ron(X567,X564)
& ron(X567,X562)
& X566 != X567 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(59), 0), imp(cond(axiom(59), 0)))') ).
fof(f1710,plain,
spl51_62,
inference(avatar_split_clause,[],[f823,f1708]) ).
fof(f823,plain,
! [X2,X3] :
( vd684 = vg(X2,X2,X3)
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f822]) ).
fof(f822,plain,
! [X2,X3,X1] :
( vd684 = vg(X2,X2,X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| X1 != X3 ),
inference(equality_resolution,[],[f787]) ).
fof(f787,plain,
! [X2,X3,X0,X1] :
( vd684 = vg(X0,X0,X1)
| ~ rpoint(X2)
| X0 != X2
| ~ rpoint(X3)
| X1 != X3 ),
inference(definition_unfolding,[],[f584,f539]) ).
fof(f584,plain,
! [X2,X3,X0,X1] :
( v0 = vg(X0,X0,X1)
| ~ rpoint(X2)
| X0 != X2
| ~ rpoint(X3)
| X1 != X3 ),
inference(cnf_transformation,[],[f240]) ).
fof(f240,plain,
! [X0,X1] :
( v0 = vg(X0,X0,X1)
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(flattening,[],[f239]) ).
fof(f239,plain,
! [X0,X1] :
( v0 = vg(X0,X0,X1)
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(ennf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0,X1] :
( ( ? [X2] :
( rpoint(X2)
& X0 = X2 )
& ? [X3] :
( rpoint(X3)
& X1 = X3 ) )
=> v0 = vg(X0,X0,X1) ),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X177,X178] :
( ( ? [X180] :
( rpoint(X180)
& X177 = X180 )
& ? [X179] :
( rpoint(X179)
& X178 = X179 ) )
=> v0 = vg(X177,X177,X178) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(172), 0), imp(cond(axiom(172), 0)))') ).
fof(f1706,plain,
spl51_61,
inference(avatar_split_clause,[],[f821,f1704]) ).
fof(f821,plain,
! [X2,X3] :
( sP0(X2,X3)
| ~ rcircle(X2)
| ~ rcircle(X3)
| ~ rintersect(X2,X3) ),
inference(equality_resolution,[],[f820]) ).
fof(f820,plain,
! [X2,X3,X1] :
( sP0(X2,X1)
| ~ rcircle(X2)
| ~ rcircle(X3)
| X1 != X3
| ~ rintersect(X2,X1) ),
inference(equality_resolution,[],[f583]) ).
fof(f583,plain,
! [X2,X3,X0,X1] :
( sP0(X0,X1)
| ~ rcircle(X2)
| X0 != X2
| ~ rcircle(X3)
| X1 != X3
| ~ rintersect(X0,X1) ),
inference(cnf_transformation,[],[f406]) ).
fof(f406,plain,
! [X0,X1] :
( sP0(X0,X1)
| ! [X2] :
( ~ rcircle(X2)
| X0 != X2 )
| ! [X3] :
( ~ rcircle(X3)
| X1 != X3 )
| ~ rintersect(X0,X1) ),
inference(definition_folding,[],[f238,f405]) ).
fof(f405,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(f238,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,[],[f237]) ).
fof(f237,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,[],[f121]) ).
fof(f121,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,[],[f78]) ).
fof(f78,axiom,
! [X533,X534] :
( ( ? [X536] :
( rcircle(X536)
& X533 = X536 )
& ? [X535] :
( rcircle(X535)
& X534 = X535 )
& rintersect(X533,X534) )
=> ? [X537,X538] :
( rpoint(X537)
& ron(X537,X533)
& ron(X537,X534)
& rpoint(X538)
& ron(X538,X533)
& ron(X538,X534)
& X537 != X538 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(67), 0), imp(cond(axiom(67), 0)))') ).
fof(f1702,plain,
spl51_60,
inference(avatar_split_clause,[],[f631,f1700]) ).
fof(f1700,plain,
( spl51_60
<=> ! [X0,X1] :
( sK28(X0,X1) != sK29(X0,X1)
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_60])]) ).
fof(f631,plain,
! [X0,X1] :
( sK28(X0,X1) != sK29(X0,X1)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f471]) ).
fof(f471,plain,
! [X0,X1] :
( ( rpoint(sK28(X0,X1))
& ron(sK28(X0,X1),X0)
& ron(sK28(X0,X1),X1)
& rpoint(sK29(X0,X1))
& ron(sK29(X0,X1),X0)
& ron(sK29(X0,X1),X1)
& sK28(X0,X1) != sK29(X0,X1) )
| ~ sP1(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28,sK29])],[f469,f470]) ).
fof(f470,plain,
! [X0,X1] :
( ? [X2,X3] :
( rpoint(X2)
& ron(X2,X0)
& ron(X2,X1)
& rpoint(X3)
& ron(X3,X0)
& ron(X3,X1)
& X2 != X3 )
=> ( rpoint(sK28(X0,X1))
& ron(sK28(X0,X1),X0)
& ron(sK28(X0,X1),X1)
& rpoint(sK29(X0,X1))
& ron(sK29(X0,X1),X0)
& ron(sK29(X0,X1),X1)
& sK28(X0,X1) != sK29(X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f469,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,[],[f468]) ).
fof(f468,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,[],[f407]) ).
fof(f1698,plain,
spl51_59,
inference(avatar_split_clause,[],[f576,f1696]) ).
fof(f1696,plain,
( spl51_59
<=> ! [X0,X1] :
( sK15(X0,X1) != sK16(X0,X1)
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_59])]) ).
fof(f576,plain,
! [X0,X1] :
( sK15(X0,X1) != sK16(X0,X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f438]) ).
fof(f438,plain,
! [X0,X1] :
( ( rpoint(sK15(X0,X1))
& ron(sK15(X0,X1),X0)
& ron(sK15(X0,X1),X1)
& rpoint(sK16(X0,X1))
& ron(sK16(X0,X1),X0)
& ron(sK16(X0,X1),X1)
& sK15(X0,X1) != sK16(X0,X1) )
| ~ sP0(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15,sK16])],[f436,f437]) ).
fof(f437,plain,
! [X0,X1] :
( ? [X2,X3] :
( rpoint(X2)
& ron(X2,X0)
& ron(X2,X1)
& rpoint(X3)
& ron(X3,X0)
& ron(X3,X1)
& X2 != X3 )
=> ( rpoint(sK15(X0,X1))
& ron(sK15(X0,X1),X0)
& ron(sK15(X0,X1),X1)
& rpoint(sK16(X0,X1))
& ron(sK16(X0,X1),X0)
& ron(sK16(X0,X1),X1)
& sK15(X0,X1) != sK16(X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f436,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,[],[f435]) ).
fof(f435,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,[],[f405]) ).
fof(f1694,plain,
( spl51_58
| ~ spl51_3
| ~ spl51_39 ),
inference(avatar_split_clause,[],[f1671,f1603,f1428,f1691]) ).
fof(f1691,plain,
( spl51_58
<=> vd1058 = sK6(vd1058,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_58])]) ).
fof(f1671,plain,
( vd1058 = sK6(vd1058,sK5)
| ~ spl51_3
| ~ spl51_39 ),
inference(resolution,[],[f1604,f1430]) ).
fof(f1689,plain,
spl51_57,
inference(avatar_split_clause,[],[f836,f1687]) ).
fof(f1687,plain,
( spl51_57
<=> ! [X4,X3] :
( sK17(X3,X4) != X4
| ~ rpoint(X3)
| ~ rpoint(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_57])]) ).
fof(f836,plain,
! [X3,X4] :
( sK17(X3,X4) != X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f835]) ).
fof(f835,plain,
! [X3,X1,X4] :
( sK17(X3,X1) != X1
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4 ),
inference(equality_resolution,[],[f588]) ).
fof(f588,plain,
! [X3,X0,X1,X4] :
( sK17(X0,X1) != X1
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4 ),
inference(cnf_transformation,[],[f442]) ).
fof(f442,plain,
! [X0,X1] :
( ( rpoint(sK17(X0,X1))
& sK17(X0,X1) != X0
& sK17(X0,X1) != X1 )
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f440,f441]) ).
fof(f441,plain,
! [X0,X1] :
( ? [X2] :
( rpoint(X2)
& X0 != X2
& X1 != X2 )
=> ( rpoint(sK17(X0,X1))
& sK17(X0,X1) != X0
& sK17(X0,X1) != X1 ) ),
introduced(choice_axiom,[]) ).
fof(f440,plain,
! [X0,X1] :
( ? [X2] :
( rpoint(X2)
& X0 != X2
& X1 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 ) ),
inference(rectify,[],[f246]) ).
fof(f246,plain,
! [X0,X1] :
( ? [X4] :
( rpoint(X4)
& X0 != X4
& X1 != X4 )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(flattening,[],[f245]) ).
fof(f245,plain,
! [X0,X1] :
( ? [X4] :
( rpoint(X4)
& X0 != X4
& X1 != X4 )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(ennf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0,X1] :
( ( ? [X2] :
( rpoint(X2)
& X0 = X2 )
& ? [X3] :
( rpoint(X3)
& X1 = X3 ) )
=> ? [X4] :
( rpoint(X4)
& X0 != X4
& X1 != X4 ) ),
inference(rectify,[],[f105]) ).
fof(f105,axiom,
! [X708,X709] :
( ( ? [X711] :
( rpoint(X711)
& X708 = X711 )
& ? [X710] :
( rpoint(X710)
& X709 = X710 ) )
=> ? [X712] :
( rpoint(X712)
& X708 != X712
& X709 != X712 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(9), 0), imp(cond(axiom(9), 0)))') ).
fof(f1685,plain,
spl51_56,
inference(avatar_split_clause,[],[f834,f1683]) ).
fof(f1683,plain,
( spl51_56
<=> ! [X4,X3] :
( sK17(X3,X4) != X3
| ~ rpoint(X3)
| ~ rpoint(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_56])]) ).
fof(f834,plain,
! [X3,X4] :
( sK17(X3,X4) != X3
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f833]) ).
fof(f833,plain,
! [X3,X1,X4] :
( sK17(X3,X1) != X3
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4 ),
inference(equality_resolution,[],[f589]) ).
fof(f589,plain,
! [X3,X0,X1,X4] :
( sK17(X0,X1) != X0
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4 ),
inference(cnf_transformation,[],[f442]) ).
fof(f1678,plain,
( spl51_55
| ~ spl51_3
| ~ spl51_38 ),
inference(avatar_split_clause,[],[f1668,f1599,f1428,f1675]) ).
fof(f1675,plain,
( spl51_55
<=> sK5 = sK7(vd1058,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_55])]) ).
fof(f1668,plain,
( sK5 = sK7(vd1058,sK5)
| ~ spl51_3
| ~ spl51_38 ),
inference(resolution,[],[f1600,f1430]) ).
fof(f1667,plain,
spl51_54,
inference(avatar_split_clause,[],[f1414,f1665]) ).
fof(f1665,plain,
( spl51_54
<=> ! [X4,X5] :
( ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rR(X4,X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_54])]) ).
fof(f1414,plain,
! [X4,X5] :
( ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rR(X4,X4,X5) ),
inference(duplicate_literal_removal,[],[f853]) ).
fof(f853,plain,
! [X4,X5] :
( ~ rpoint(X4)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rR(X4,X4,X5) ),
inference(equality_resolution,[],[f852]) ).
fof(f852,plain,
! [X2,X4,X5] :
( ~ rpoint(X4)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X2 != X5
| ~ rR(X4,X4,X2) ),
inference(equality_resolution,[],[f851]) ).
fof(f851,plain,
! [X2,X3,X4,X5] :
( ~ rpoint(X3)
| ~ rpoint(X4)
| X3 != X4
| ~ rpoint(X5)
| X2 != X5
| ~ rR(X3,X3,X2) ),
inference(equality_resolution,[],[f850]) ).
fof(f850,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,[],[f597]) ).
fof(f597,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,[],[f254]) ).
fof(f1663,plain,
( spl51_53
| ~ spl51_14
| ~ spl51_22 ),
inference(avatar_split_clause,[],[f1546,f1517,f1483,f1660]) ).
fof(f1546,plain,
( rinside(vd1056,vskolem1061)
| ~ spl51_14
| ~ spl51_22 ),
inference(resolution,[],[f1518,f1485]) ).
fof(f1658,plain,
spl51_52,
inference(avatar_split_clause,[],[f1413,f1656]) ).
fof(f1656,plain,
( spl51_52
<=> ! [X4,X5] :
( ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rR(X4,X5,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_52])]) ).
fof(f1413,plain,
! [X4,X5] :
( ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rR(X4,X5,X5) ),
inference(duplicate_literal_removal,[],[f857]) ).
fof(f857,plain,
! [X4,X5] :
( ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rR(X4,X5,X5) ),
inference(equality_resolution,[],[f856]) ).
fof(f856,plain,
! [X3,X4,X5] :
( ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X3 != X5
| ~ rR(X4,X3,X3) ),
inference(equality_resolution,[],[f855]) ).
fof(f855,plain,
! [X3,X1,X4,X5] :
( ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X5)
| X3 != X5
| ~ rR(X1,X3,X3) ),
inference(equality_resolution,[],[f854]) ).
fof(f854,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,[],[f596]) ).
fof(f596,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,[],[f254]) ).
fof(f1654,plain,
spl51_51,
inference(avatar_split_clause,[],[f912,f1652]) ).
fof(f912,plain,
! [X3,X1] :
( rreal(sK23(X1,X3))
| ~ rreal(X1)
| ~ rreal(X3) ),
inference(equality_resolution,[],[f911]) ).
fof(f911,plain,
! [X2,X3,X1] :
( rreal(sK23(X1,X2))
| ~ rreal(X1)
| ~ rreal(X3)
| X2 != X3 ),
inference(equality_resolution,[],[f617]) ).
fof(f617,plain,
! [X2,X3,X0,X1] :
( rreal(sK23(X0,X2))
| ~ rreal(X1)
| X0 != X1
| ~ rreal(X3)
| X2 != X3 ),
inference(cnf_transformation,[],[f459]) ).
fof(f1650,plain,
spl51_50,
inference(avatar_split_clause,[],[f838,f1648]) ).
fof(f838,plain,
! [X3,X4] :
( rreal(sK18(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f837]) ).
fof(f837,plain,
! [X3,X1,X4] :
( rreal(sK18(X3,X1))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4 ),
inference(equality_resolution,[],[f592]) ).
fof(f592,plain,
! [X3,X0,X1,X4] :
( rreal(sK18(X0,X1))
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4 ),
inference(cnf_transformation,[],[f445]) ).
fof(f1646,plain,
spl51_49,
inference(avatar_split_clause,[],[f832,f1644]) ).
fof(f832,plain,
! [X3,X4] :
( rpoint(sK17(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f831]) ).
fof(f831,plain,
! [X3,X1,X4] :
( rpoint(sK17(X3,X1))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4 ),
inference(equality_resolution,[],[f590]) ).
fof(f590,plain,
! [X3,X0,X1,X4] :
( rpoint(sK17(X0,X1))
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4 ),
inference(cnf_transformation,[],[f442]) ).
fof(f1642,plain,
spl51_48,
inference(avatar_split_clause,[],[f636,f1640]) ).
fof(f636,plain,
! [X0,X1] :
( ron(sK28(X0,X1),X0)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f471]) ).
fof(f1638,plain,
spl51_47,
inference(avatar_split_clause,[],[f635,f1636]) ).
fof(f635,plain,
! [X0,X1] :
( ron(sK28(X0,X1),X1)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f471]) ).
fof(f1634,plain,
spl51_46,
inference(avatar_split_clause,[],[f633,f1632]) ).
fof(f633,plain,
! [X0,X1] :
( ron(sK29(X0,X1),X0)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f471]) ).
fof(f1630,plain,
spl51_45,
inference(avatar_split_clause,[],[f632,f1628]) ).
fof(f632,plain,
! [X0,X1] :
( ron(sK29(X0,X1),X1)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f471]) ).
fof(f1626,plain,
spl51_44,
inference(avatar_split_clause,[],[f581,f1624]) ).
fof(f581,plain,
! [X0,X1] :
( ron(sK15(X0,X1),X0)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f438]) ).
fof(f1622,plain,
spl51_43,
inference(avatar_split_clause,[],[f580,f1620]) ).
fof(f580,plain,
! [X0,X1] :
( ron(sK15(X0,X1),X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f438]) ).
fof(f1618,plain,
( spl51_42
| ~ spl51_12
| ~ spl51_22 ),
inference(avatar_split_clause,[],[f1545,f1517,f1473,f1615]) ).
fof(f1615,plain,
( spl51_42
<=> rinside(vd1058,vd1063) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_42])]) ).
fof(f1545,plain,
( rinside(vd1058,vd1063)
| ~ spl51_12
| ~ spl51_22 ),
inference(resolution,[],[f1518,f1475]) ).
fof(f1613,plain,
spl51_41,
inference(avatar_split_clause,[],[f578,f1611]) ).
fof(f578,plain,
! [X0,X1] :
( ron(sK16(X0,X1),X0)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f438]) ).
fof(f1609,plain,
spl51_40,
inference(avatar_split_clause,[],[f577,f1607]) ).
fof(f577,plain,
! [X0,X1] :
( ron(sK16(X0,X1),X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f438]) ).
fof(f1605,plain,
spl51_39,
inference(avatar_split_clause,[],[f555,f1603]) ).
fof(f555,plain,
! [X0,X1] :
( sK6(X0,X1) = X0
| ~ rcenter(X0,X1) ),
inference(cnf_transformation,[],[f418]) ).
fof(f418,plain,
! [X0,X1] :
( ( rpoint(sK6(X0,X1))
& sK6(X0,X1) = X0
& rcircle(sK7(X0,X1))
& sK7(X0,X1) = X1 )
| ~ rcenter(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f218,f417]) ).
fof(f417,plain,
! [X0,X1] :
( ? [X2,X3] :
( rpoint(X2)
& X0 = X2
& rcircle(X3)
& X1 = X3 )
=> ( rpoint(sK6(X0,X1))
& sK6(X0,X1) = X0
& rcircle(sK7(X0,X1))
& sK7(X0,X1) = X1 ) ),
introduced(choice_axiom,[]) ).
fof(f218,plain,
! [X0,X1] :
( ? [X2,X3] :
( rpoint(X2)
& X0 = X2
& rcircle(X3)
& X1 = X3 )
| ~ rcenter(X0,X1) ),
inference(ennf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0,X1] :
( rcenter(X0,X1)
=> ? [X2,X3] :
( rpoint(X2)
& X0 = X2
& rcircle(X3)
& X1 = X3 ) ),
inference(rectify,[],[f109]) ).
fof(f109,axiom,
! [X723,X724] :
( rcenter(X723,X724)
=> ? [X725,X726] :
( rpoint(X725)
& X723 = X725
& rcircle(X726)
& X724 = X726 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(1), 0), imp(cond(axiom(1), 0)))') ).
fof(f1601,plain,
spl51_38,
inference(avatar_split_clause,[],[f553,f1599]) ).
fof(f553,plain,
! [X0,X1] :
( sK7(X0,X1) = X1
| ~ rcenter(X0,X1) ),
inference(cnf_transformation,[],[f418]) ).
fof(f1583,plain,
spl51_37,
inference(avatar_split_clause,[],[f1415,f1581]) ).
fof(f1415,plain,
! [X3] :
( vd684 = vf(X3,X3)
| ~ rpoint(X3) ),
inference(duplicate_literal_removal,[],[f828]) ).
fof(f828,plain,
! [X3] :
( vd684 = vf(X3,X3)
| ~ rpoint(X3)
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f827]) ).
fof(f827,plain,
! [X2,X3] :
( vd684 = vf(X2,X2)
| ~ rpoint(X2)
| ~ rpoint(X3)
| X2 != X3 ),
inference(equality_resolution,[],[f826]) ).
fof(f826,plain,
! [X2,X3,X1] :
( vd684 = vf(X1,X1)
| ~ rpoint(X2)
| X1 != X2
| ~ rpoint(X3)
| X1 != X3 ),
inference(equality_resolution,[],[f788]) ).
fof(f788,plain,
! [X2,X3,X0,X1] :
( vd684 = vf(X0,X1)
| X0 != X1
| ~ rpoint(X2)
| X0 != X2
| ~ rpoint(X3)
| X1 != X3 ),
inference(definition_unfolding,[],[f587,f539]) ).
fof(f587,plain,
! [X2,X3,X0,X1] :
( v0 = vf(X0,X1)
| X0 != X1
| ~ rpoint(X2)
| X0 != X2
| ~ rpoint(X3)
| X1 != X3 ),
inference(cnf_transformation,[],[f439]) ).
fof(f1579,plain,
spl51_36,
inference(avatar_split_clause,[],[f810,f1577]) ).
fof(f810,plain,
! [X1] :
( vplus(X1,vd684) = X1
| ~ rreal(X1) ),
inference(equality_resolution,[],[f786]) ).
fof(f786,plain,
! [X0,X1] :
( vplus(X0,vd684) = X0
| ~ rreal(X1)
| X0 != X1 ),
inference(definition_unfolding,[],[f566,f539]) ).
fof(f566,plain,
! [X0,X1] :
( vplus(X0,v0) = X0
| ~ rreal(X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f228]) ).
fof(f228,plain,
! [X0,X1] :
( vplus(X0,v0) = X0
| ~ rreal(X1)
| X0 != X1 ),
inference(flattening,[],[f227]) ).
fof(f227,plain,
! [X0,X1] :
( vplus(X0,v0) = X0
| ~ rreal(X1)
| X0 != X1 ),
inference(ennf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0,X1] :
( ( rreal(X1)
& X0 = X1 )
=> vplus(X0,v0) = X0 ),
inference(rectify,[],[f40]) ).
fof(f40,axiom,
! [X247,X248] :
( ( rreal(X248)
& X247 = X248 )
=> vplus(X247,v0) = X247 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(141), 0), imp(cond(axiom(141), 0)))') ).
fof(f1575,plain,
spl51_35,
inference(avatar_split_clause,[],[f637,f1573]) ).
fof(f637,plain,
! [X0,X1] :
( rpoint(sK28(X0,X1))
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f471]) ).
fof(f1571,plain,
spl51_34,
inference(avatar_split_clause,[],[f634,f1569]) ).
fof(f634,plain,
! [X0,X1] :
( rpoint(sK29(X0,X1))
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f471]) ).
fof(f1567,plain,
spl51_33,
inference(avatar_split_clause,[],[f582,f1565]) ).
fof(f582,plain,
! [X0,X1] :
( rpoint(sK15(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f438]) ).
fof(f1563,plain,
spl51_32,
inference(avatar_split_clause,[],[f579,f1561]) ).
fof(f579,plain,
! [X0,X1] :
( rpoint(sK16(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f438]) ).
fof(f1559,plain,
spl51_31,
inference(avatar_split_clause,[],[f556,f1557]) ).
fof(f556,plain,
! [X0,X1] :
( rpoint(sK6(X0,X1))
| ~ rcenter(X0,X1) ),
inference(cnf_transformation,[],[f418]) ).
fof(f1555,plain,
spl51_30,
inference(avatar_split_clause,[],[f554,f1553]) ).
fof(f1553,plain,
( spl51_30
<=> ! [X0,X1] :
( rcircle(sK7(X0,X1))
| ~ rcenter(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_30])]) ).
fof(f554,plain,
! [X0,X1] :
( rcircle(sK7(X0,X1))
| ~ rcenter(X0,X1) ),
inference(cnf_transformation,[],[f418]) ).
fof(f1551,plain,
( spl51_29
| ~ spl51_3
| ~ spl51_22 ),
inference(avatar_split_clause,[],[f1544,f1517,f1428,f1548]) ).
fof(f1544,plain,
( rinside(vd1058,sK5)
| ~ spl51_3
| ~ spl51_22 ),
inference(resolution,[],[f1518,f1430]) ).
fof(f1543,plain,
spl51_28,
inference(avatar_split_clause,[],[f819,f1541]) ).
fof(f1541,plain,
( spl51_28
<=> ! [X1] :
( sK14(X1) != X1
| ~ rpoint(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_28])]) ).
fof(f819,plain,
! [X1] :
( sK14(X1) != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f574]) ).
fof(f574,plain,
! [X0,X1] :
( sK14(X0) != X0
| ~ rpoint(X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f434]) ).
fof(f434,plain,
! [X0,X1] :
( ( rpoint(sK14(X0))
& sK14(X0) != X0 )
| ~ rpoint(X1)
| X0 != X1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f236,f433]) ).
fof(f433,plain,
! [X0] :
( ? [X2] :
( rpoint(X2)
& X0 != X2 )
=> ( rpoint(sK14(X0))
& sK14(X0) != X0 ) ),
introduced(choice_axiom,[]) ).
fof(f236,plain,
! [X0,X1] :
( ? [X2] :
( rpoint(X2)
& X0 != X2 )
| ~ rpoint(X1)
| X0 != X1 ),
inference(flattening,[],[f235]) ).
fof(f235,plain,
! [X0,X1] :
( ? [X2] :
( rpoint(X2)
& X0 != X2 )
| ~ rpoint(X1)
| X0 != X1 ),
inference(ennf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0,X1] :
( ( rpoint(X1)
& X0 = X1 )
=> ? [X2] :
( rpoint(X2)
& X0 != X2 ) ),
inference(rectify,[],[f106]) ).
fof(f106,axiom,
! [X713,X714] :
( ( rpoint(X714)
& X713 = X714 )
=> ? [X715] :
( rpoint(X715)
& X713 != X715 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(7), 0), imp(cond(axiom(7), 0)))') ).
fof(f1539,plain,
spl51_27,
inference(avatar_split_clause,[],[f817,f1537]) ).
fof(f817,plain,
! [X1] :
( ron(sK13(X1),X1)
| ~ rcircle(X1) ),
inference(equality_resolution,[],[f572]) ).
fof(f572,plain,
! [X0,X1] :
( ron(sK13(X0),X0)
| ~ rcircle(X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f432]) ).
fof(f432,plain,
! [X0,X1] :
( ( rpoint(sK13(X0))
& ron(sK13(X0),X0) )
| ~ rcircle(X1)
| X0 != X1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f234,f431]) ).
fof(f431,plain,
! [X0] :
( ? [X2] :
( rpoint(X2)
& ron(X2,X0) )
=> ( rpoint(sK13(X0))
& ron(sK13(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f234,plain,
! [X0,X1] :
( ? [X2] :
( rpoint(X2)
& ron(X2,X0) )
| ~ rcircle(X1)
| X0 != X1 ),
inference(flattening,[],[f233]) ).
fof(f233,plain,
! [X0,X1] :
( ? [X2] :
( rpoint(X2)
& ron(X2,X0) )
| ~ rcircle(X1)
| X0 != X1 ),
inference(ennf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1] :
( ( rcircle(X1)
& X0 = X1 )
=> ? [X2] :
( rpoint(X2)
& ron(X2,X0) ) ),
inference(rectify,[],[f89]) ).
fof(f89,axiom,
! [X596,X597] :
( ( rcircle(X597)
& X596 = X597 )
=> ? [X598] :
( rpoint(X598)
& ron(X598,X596) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(41), 0), imp(cond(axiom(41), 0)))') ).
fof(f1535,plain,
spl51_26,
inference(avatar_split_clause,[],[f815,f1533]) ).
fof(f815,plain,
! [X1] :
( rinside(sK12(X1),X1)
| ~ rcircle(X1) ),
inference(equality_resolution,[],[f570]) ).
fof(f570,plain,
! [X0,X1] :
( rinside(sK12(X0),X0)
| ~ rcircle(X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f430]) ).
fof(f430,plain,
! [X0,X1] :
( ( rpoint(sK12(X0))
& rinside(sK12(X0),X0) )
| ~ rcircle(X1)
| X0 != X1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f232,f429]) ).
fof(f429,plain,
! [X0] :
( ? [X2] :
( rpoint(X2)
& rinside(X2,X0) )
=> ( rpoint(sK12(X0))
& rinside(sK12(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f232,plain,
! [X0,X1] :
( ? [X2] :
( rpoint(X2)
& rinside(X2,X0) )
| ~ rcircle(X1)
| X0 != X1 ),
inference(flattening,[],[f231]) ).
fof(f231,plain,
! [X0,X1] :
( ? [X2] :
( rpoint(X2)
& rinside(X2,X0) )
| ~ rcircle(X1)
| X0 != X1 ),
inference(ennf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0,X1] :
( ( rcircle(X1)
& X0 = X1 )
=> ? [X2] :
( rpoint(X2)
& rinside(X2,X0) ) ),
inference(rectify,[],[f86]) ).
fof(f86,axiom,
! [X581,X582] :
( ( rcircle(X582)
& X581 = X582 )
=> ? [X583] :
( rpoint(X583)
& rinside(X583,X581) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(47), 0), imp(cond(axiom(47), 0)))') ).
fof(f1531,plain,
spl51_25,
inference(avatar_split_clause,[],[f813,f1529]) ).
fof(f1529,plain,
( spl51_25
<=> ! [X1] :
( ~ ron(sK11(X1),X1)
| ~ rcircle(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_25])]) ).
fof(f813,plain,
! [X1] :
( ~ ron(sK11(X1),X1)
| ~ rcircle(X1) ),
inference(equality_resolution,[],[f567]) ).
fof(f567,plain,
! [X0,X1] :
( ~ ron(sK11(X0),X0)
| ~ rcircle(X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f428]) ).
fof(f428,plain,
! [X0,X1] :
( ( rpoint(sK11(X0))
& ~ rinside(sK11(X0),X0)
& ~ ron(sK11(X0),X0) )
| ~ rcircle(X1)
| X0 != X1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f230,f427]) ).
fof(f427,plain,
! [X0] :
( ? [X2] :
( rpoint(X2)
& ~ rinside(X2,X0)
& ~ ron(X2,X0) )
=> ( rpoint(sK11(X0))
& ~ rinside(sK11(X0),X0)
& ~ ron(sK11(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f230,plain,
! [X0,X1] :
( ? [X2] :
( rpoint(X2)
& ~ rinside(X2,X0)
& ~ ron(X2,X0) )
| ~ rcircle(X1)
| X0 != X1 ),
inference(flattening,[],[f229]) ).
fof(f229,plain,
! [X0,X1] :
( ? [X2] :
( rpoint(X2)
& ~ rinside(X2,X0)
& ~ ron(X2,X0) )
| ~ rcircle(X1)
| X0 != X1 ),
inference(ennf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1] :
( ( rcircle(X1)
& X0 = X1 )
=> ? [X2] :
( rpoint(X2)
& ~ rinside(X2,X0)
& ~ ron(X2,X0) ) ),
inference(rectify,[],[f85]) ).
fof(f85,axiom,
! [X578,X579] :
( ( rcircle(X579)
& X578 = X579 )
=> ? [X580] :
( rpoint(X580)
& ~ rinside(X580,X578)
& ~ ron(X580,X578) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(49), 0), imp(cond(axiom(49), 0)))') ).
fof(f1527,plain,
spl51_24,
inference(avatar_split_clause,[],[f812,f1525]) ).
fof(f1525,plain,
( spl51_24
<=> ! [X1] :
( ~ rinside(sK11(X1),X1)
| ~ rcircle(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_24])]) ).
fof(f812,plain,
! [X1] :
( ~ rinside(sK11(X1),X1)
| ~ rcircle(X1) ),
inference(equality_resolution,[],[f568]) ).
fof(f568,plain,
! [X0,X1] :
( ~ rinside(sK11(X0),X0)
| ~ rcircle(X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f428]) ).
fof(f1523,plain,
spl51_23,
inference(avatar_split_clause,[],[f808,f1521]) ).
fof(f808,plain,
! [X1] :
( ron(sK10(X1),X1)
| ~ rline(X1) ),
inference(equality_resolution,[],[f563]) ).
fof(f563,plain,
! [X0,X1] :
( ron(sK10(X0),X0)
| ~ rline(X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f426]) ).
fof(f426,plain,
! [X0,X1] :
( ( rpoint(sK10(X0))
& ron(sK10(X0),X0) )
| ~ rline(X1)
| X0 != X1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f224,f425]) ).
fof(f425,plain,
! [X0] :
( ? [X2] :
( rpoint(X2)
& ron(X2,X0) )
=> ( rpoint(sK10(X0))
& ron(sK10(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f224,plain,
! [X0,X1] :
( ? [X2] :
( rpoint(X2)
& ron(X2,X0) )
| ~ rline(X1)
| X0 != X1 ),
inference(flattening,[],[f223]) ).
fof(f223,plain,
! [X0,X1] :
( ? [X2] :
( rpoint(X2)
& ron(X2,X0) )
| ~ rline(X1)
| X0 != X1 ),
inference(ennf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0,X1] :
( ( rline(X1)
& X0 = X1 )
=> ? [X2] :
( rpoint(X2)
& ron(X2,X0) ) ),
inference(rectify,[],[f102]) ).
fof(f102,axiom,
! [X689,X690] :
( ( rline(X690)
& X689 = X690 )
=> ? [X691] :
( rpoint(X691)
& ron(X691,X689) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(15), 0), imp(cond(axiom(15), 0)))') ).
fof(f1519,plain,
spl51_22,
inference(avatar_split_clause,[],[f552,f1517]) ).
fof(f552,plain,
! [X0,X1] :
( rinside(X0,X1)
| ~ rcenter(X0,X1) ),
inference(cnf_transformation,[],[f217]) ).
fof(f217,plain,
! [X0,X1] :
( rinside(X0,X1)
| ~ rcenter(X0,X1) ),
inference(ennf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0,X1] :
( rcenter(X0,X1)
=> rinside(X0,X1) ),
inference(rectify,[],[f73]) ).
fof(f73,axiom,
! [X499,X500] :
( rcenter(X499,X500)
=> rinside(X499,X500) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))') ).
fof(f1515,plain,
spl51_21,
inference(avatar_split_clause,[],[f818,f1513]) ).
fof(f818,plain,
! [X1] :
( rpoint(sK14(X1))
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f575]) ).
fof(f575,plain,
! [X0,X1] :
( rpoint(sK14(X0))
| ~ rpoint(X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f434]) ).
fof(f1511,plain,
spl51_20,
inference(avatar_split_clause,[],[f816,f1509]) ).
fof(f816,plain,
! [X1] :
( rpoint(sK13(X1))
| ~ rcircle(X1) ),
inference(equality_resolution,[],[f573]) ).
fof(f573,plain,
! [X0,X1] :
( rpoint(sK13(X0))
| ~ rcircle(X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f432]) ).
fof(f1507,plain,
spl51_19,
inference(avatar_split_clause,[],[f814,f1505]) ).
fof(f814,plain,
! [X1] :
( rpoint(sK12(X1))
| ~ rcircle(X1) ),
inference(equality_resolution,[],[f571]) ).
fof(f571,plain,
! [X0,X1] :
( rpoint(sK12(X0))
| ~ rcircle(X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f430]) ).
fof(f1503,plain,
spl51_18,
inference(avatar_split_clause,[],[f811,f1501]) ).
fof(f811,plain,
! [X1] :
( rpoint(sK11(X1))
| ~ rcircle(X1) ),
inference(equality_resolution,[],[f569]) ).
fof(f569,plain,
! [X0,X1] :
( rpoint(sK11(X0))
| ~ rcircle(X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f428]) ).
fof(f1499,plain,
spl51_17,
inference(avatar_split_clause,[],[f809,f1497]) ).
fof(f1497,plain,
( spl51_17
<=> ! [X1] :
( ~ rless(X1,X1)
| ~ rreal(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_17])]) ).
fof(f809,plain,
! [X1] :
( ~ rless(X1,X1)
| ~ rreal(X1) ),
inference(equality_resolution,[],[f565]) ).
fof(f565,plain,
! [X0,X1] :
( ~ rless(X0,X0)
| ~ rreal(X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f226]) ).
fof(f226,plain,
! [X0,X1] :
( ~ rless(X0,X0)
| ~ rreal(X1)
| X0 != X1 ),
inference(flattening,[],[f225]) ).
fof(f225,plain,
! [X0,X1] :
( ~ rless(X0,X0)
| ~ rreal(X1)
| X0 != X1 ),
inference(ennf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1] :
( ( rreal(X1)
& X0 = X1 )
=> ~ rless(X0,X0) ),
inference(rectify,[],[f36]) ).
fof(f36,axiom,
! [X233,X234] :
( ( rreal(X234)
& X233 = X234 )
=> ~ rless(X233,X233) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(149), 0), imp(cond(axiom(149), 0)))') ).
fof(f1495,plain,
spl51_16,
inference(avatar_split_clause,[],[f807,f1493]) ).
fof(f807,plain,
! [X1] :
( rpoint(sK10(X1))
| ~ rline(X1) ),
inference(equality_resolution,[],[f564]) ).
fof(f564,plain,
! [X0,X1] :
( rpoint(sK10(X0))
| ~ rline(X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f426]) ).
fof(f1491,plain,
spl51_15,
inference(avatar_split_clause,[],[f784,f1488]) ).
fof(f784,plain,
ron(vd1058,vskolem1061),
inference(definition_unfolding,[],[f548,f540]) ).
fof(f548,plain,
ron(vd1057,vskolem1061),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
( rcircle(vskolem1061)
& rcenter(vd1055,vskolem1061)
& ron(vd1057,vskolem1061) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','replace(replace(and(pred(comma_conjunct2(the(211)), 0), and(pred(comma_conjunct1(the(211)), 0), pred(the(211), 0)))))') ).
fof(f1486,plain,
spl51_14,
inference(avatar_split_clause,[],[f783,f1483]) ).
fof(f783,plain,
rcenter(vd1056,vskolem1061),
inference(definition_unfolding,[],[f549,f543]) ).
fof(f549,plain,
rcenter(vd1055,vskolem1061),
inference(cnf_transformation,[],[f6]) ).
fof(f1481,plain,
spl51_13,
inference(avatar_split_clause,[],[f782,f1478]) ).
fof(f782,plain,
ron(vd1056,vd1063),
inference(definition_unfolding,[],[f545,f543]) ).
fof(f545,plain,
ron(vd1055,vd1063),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( rcircle(vd1063)
& rcenter(vd1057,vd1063)
& ron(vd1055,vd1063) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','and(pred(comma_conjunct2(the(212)), 0), and(pred(comma_conjunct1(the(212)), 0), pred(the(212), 0)))') ).
fof(f1476,plain,
spl51_12,
inference(avatar_split_clause,[],[f781,f1473]) ).
fof(f781,plain,
rcenter(vd1058,vd1063),
inference(definition_unfolding,[],[f546,f540]) ).
fof(f546,plain,
rcenter(vd1057,vd1063),
inference(cnf_transformation,[],[f3]) ).
fof(f1471,plain,
~ spl51_11,
inference(avatar_split_clause,[],[f780,f1468]) ).
fof(f1468,plain,
( spl51_11
<=> vd1058 = vd1056 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_11])]) ).
fof(f780,plain,
vd1058 != vd1056,
inference(definition_unfolding,[],[f541,f543,f540]) ).
fof(f541,plain,
vd1055 != vd1057,
inference(cnf_transformation,[],[f7]) ).
fof(f1466,plain,
spl51_10,
inference(avatar_split_clause,[],[f550,f1463]) ).
fof(f550,plain,
rcircle(vskolem1061),
inference(cnf_transformation,[],[f6]) ).
fof(f1461,plain,
spl51_9,
inference(avatar_split_clause,[],[f547,f1458]) ).
fof(f547,plain,
rcircle(vd1063),
inference(cnf_transformation,[],[f3]) ).
fof(f1456,plain,
spl51_8,
inference(avatar_split_clause,[],[f544,f1453]) ).
fof(f544,plain,
rpoint(vd1056),
inference(cnf_transformation,[],[f7]) ).
fof(f1451,plain,
spl51_7,
inference(avatar_split_clause,[],[f542,f1448]) ).
fof(f542,plain,
rpoint(vd1058),
inference(cnf_transformation,[],[f7]) ).
fof(f1446,plain,
spl51_6,
inference(avatar_split_clause,[],[f537,f1443]) ).
fof(f537,plain,
rpoint(vd14),
inference(cnf_transformation,[],[f107]) ).
fof(f107,axiom,
rpoint(vd14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(axiom(5), 0)') ).
fof(f1441,plain,
spl51_5,
inference(avatar_split_clause,[],[f536,f1438]) ).
fof(f536,plain,
rreal(vd684),
inference(cnf_transformation,[],[f43]) ).
fof(f43,axiom,
rreal(vd684),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(axiom(137), 1)') ).
fof(f1436,plain,
spl51_4,
inference(avatar_split_clause,[],[f779,f1433]) ).
fof(f779,plain,
ron(vd1056,sK5),
inference(definition_unfolding,[],[f532,f543]) ).
fof(f532,plain,
ron(vd1055,sK5),
inference(cnf_transformation,[],[f416]) ).
fof(f416,plain,
( vd1063 != sK5
& rcircle(sK5)
& rcenter(vd1057,sK5)
& ron(vd1055,sK5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f214,f415]) ).
fof(f415,plain,
( ? [X0] :
( vd1063 != X0
& rcircle(X0)
& rcenter(vd1057,X0)
& ron(vd1055,X0) )
=> ( vd1063 != sK5
& rcircle(sK5)
& rcenter(vd1057,sK5)
& ron(vd1055,sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f214,plain,
? [X0] :
( vd1063 != X0
& rcircle(X0)
& rcenter(vd1057,X0)
& ron(vd1055,X0) ),
inference(flattening,[],[f213]) ).
fof(f213,plain,
? [X0] :
( vd1063 != X0
& rcircle(X0)
& rcenter(vd1057,X0)
& ron(vd1055,X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( rcircle(X0)
& rcenter(vd1057,X0)
& ron(vd1055,X0) )
=> vd1063 = X0 ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( rcircle(X0)
& rcenter(vd1057,X0)
& ron(vd1055,X0) )
=> vd1063 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(theu(the(212), 1), imp(the(212)))') ).
fof(f1431,plain,
spl51_3,
inference(avatar_split_clause,[],[f778,f1428]) ).
fof(f778,plain,
rcenter(vd1058,sK5),
inference(definition_unfolding,[],[f533,f540]) ).
fof(f533,plain,
rcenter(vd1057,sK5),
inference(cnf_transformation,[],[f416]) ).
fof(f1426,plain,
~ spl51_2,
inference(avatar_split_clause,[],[f535,f1423]) ).
fof(f535,plain,
vd1063 != sK5,
inference(cnf_transformation,[],[f416]) ).
fof(f1421,plain,
spl51_1,
inference(avatar_split_clause,[],[f534,f1418]) ).
fof(f534,plain,
rcircle(sK5),
inference(cnf_transformation,[],[f416]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO272+1 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n005.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 05:48:56 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (1076)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.37 % (1080)WARNING: value z3 for option sas not known
% 0.19/0.38 % (1080)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)
% 0.19/0.38 % (1082)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.19/0.38 % (1083)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)
% 0.19/0.38 % (1078)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.19/0.38 % (1085)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)
% 0.19/0.38 % (1084)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)
% 0.19/0.38 % (1077)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.19/0.42 TRYING [1]
% 0.19/0.44 TRYING [1]
% 2.29/0.72 TRYING [2]
% 2.92/0.77 TRYING [2]
% 7.90/1.50 TRYING [1]
% 9.25/1.71 TRYING [2]
% 9.81/1.75 % (1083)First to succeed.
% 10.30/1.84 % (1083)Refutation found. Thanks to Tanya!
% 10.30/1.84 % SZS status Theorem for theBenchmark
% 10.30/1.84 % SZS output start Proof for theBenchmark
% See solution above
% 10.43/1.86 % (1083)------------------------------
% 10.43/1.86 % (1083)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 10.43/1.86 % (1083)Termination reason: Refutation
% 10.43/1.86
% 10.43/1.86 % (1083)Memory used [KB]: 16863
% 10.43/1.86 % (1083)Time elapsed: 1.456 s
% 10.43/1.86 % (1083)Instructions burned: 3034 (million)
% 10.43/1.86 % (1083)------------------------------
% 10.43/1.86 % (1083)------------------------------
% 10.43/1.86 % (1076)Success in time 1.487 s
%------------------------------------------------------------------------------