TSTP Solution File: SWV247-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV247-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 10:47:51 EDT 2024
% Result : Unsatisfiable 93.39s 13.65s
% Output : Refutation 93.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2018
% Syntax : Number of formulae : 4509 ( 730 unt; 0 def)
% Number of atoms : 12960 ( 895 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 15056 (6605 ~;7032 |; 0 &)
% (1419 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 1457 (1455 usr;1420 prp; 0-3 aty)
% Number of functors : 139 ( 139 usr; 24 con; 0-6 aty)
% Number of variables : 10234 (10234 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f63275,plain,
$false,
inference(avatar_sat_refutation,[],[f1411,f1416,f1421,f1426,f1431,f1436,f1441,f1446,f1451,f1456,f1461,f1466,f1471,f1476,f1481,f1486,f1491,f1496,f1501,f1506,f1511,f1516,f1521,f1526,f1531,f1536,f1541,f1546,f1551,f1556,f1561,f1566,f1571,f1576,f1581,f1586,f1591,f1596,f1601,f1606,f1611,f1616,f1621,f1626,f1631,f1636,f1641,f1646,f1651,f1656,f1660,f1665,f1670,f1674,f1678,f1683,f1688,f1693,f1698,f1703,f1708,f1712,f1716,f1720,f1724,f1728,f1732,f1736,f1740,f1744,f1748,f1752,f1756,f1760,f1764,f1768,f1772,f1776,f1780,f1784,f1788,f1792,f1796,f1800,f1804,f1808,f1812,f1816,f1820,f1824,f1828,f1832,f1836,f1840,f1844,f1848,f1852,f1856,f1860,f1864,f1868,f1872,f1876,f1880,f1884,f1888,f1892,f1896,f1900,f1904,f1908,f1912,f1916,f1920,f1924,f1928,f1932,f1936,f1940,f1944,f1948,f1952,f1956,f1960,f1964,f1968,f1972,f1976,f1980,f1984,f1988,f1992,f1996,f2000,f2004,f2008,f2012,f2016,f2020,f2024,f2028,f2032,f2036,f2040,f2044,f2048,f2052,f2056,f2060,f2064,f2068,f2072,f2076,f2080,f2084,f2088,f2092,f2096,f2100,f2104,f2108,f2112,f2116,f2120,f2124,f2128,f2132,f2136,f2140,f2144,f2148,f2152,f2156,f2160,f2164,f2168,f2172,f2176,f2180,f2184,f2188,f2192,f2196,f2200,f2204,f2208,f2212,f2216,f2220,f2224,f2228,f2232,f2236,f2240,f2244,f2248,f2252,f2256,f2260,f2264,f2268,f2272,f2276,f2280,f2284,f2288,f2292,f2296,f2300,f2304,f2308,f2312,f2316,f2320,f2324,f2328,f2332,f2336,f2340,f2344,f2348,f2352,f2356,f2360,f2364,f2368,f2372,f2376,f2380,f2384,f2388,f2392,f2396,f2400,f2404,f2408,f2412,f2416,f2420,f2424,f2428,f2432,f2436,f2440,f2444,f2448,f2452,f2456,f2460,f2464,f2468,f2472,f2476,f2480,f2484,f2488,f2492,f2496,f2500,f2504,f2508,f2512,f2516,f2520,f2524,f2528,f2532,f2536,f2540,f2544,f2548,f2552,f2556,f2560,f2564,f2568,f2572,f2576,f2580,f2584,f2588,f2592,f2597,f2601,f2605,f2609,f2613,f2924,f2928,f2932,f2936,f2940,f2944,f2948,f2952,f2956,f2961,f2965,f2969,f2973,f2977,f2981,f2985,f2989,f2993,f2997,f3001,f3006,f3010,f3014,f3018,f3022,f3026,f3030,f3034,f3038,f3042,f3046,f3050,f3054,f3058,f3062,f3066,f3070,f3074,f3078,f3082,f3086,f3097,f3110,f3114,f3118,f3122,f3126,f3130,f3134,f3138,f3142,f3146,f3150,f3154,f3158,f3162,f3166,f3170,f3174,f3178,f3182,f3186,f3190,f3194,f3198,f3202,f3206,f3210,f3214,f3235,f3239,f3243,f3247,f3251,f3255,f3261,f3265,f3269,f3273,f3277,f3281,f3285,f3289,f3293,f3297,f3303,f3307,f3311,f3315,f3319,f3323,f3327,f3347,f3351,f3355,f3359,f3363,f3367,f3371,f3375,f3379,f3383,f3387,f3391,f3395,f3399,f3403,f3407,f3411,f3415,f3419,f3423,f3427,f3431,f3435,f3439,f3443,f3447,f3479,f3491,f3495,f3499,f3503,f3507,f3511,f3515,f3519,f3523,f3527,f3531,f3535,f3539,f3543,f3547,f3551,f3555,f3559,f3570,f3585,f3589,f3594,f3598,f3602,f3606,f3610,f3614,f3618,f3622,f3626,f3630,f3635,f3639,f3643,f3647,f3651,f3655,f3659,f3663,f3667,f3671,f3675,f3679,f3683,f3687,f3691,f3695,f3699,f3703,f3707,f3711,f3715,f3720,f3724,f3728,f3732,f3736,f3740,f3744,f3789,f3825,f3832,f3836,f3840,f3844,f3848,f3852,f3856,f3860,f3864,f3868,f3872,f3876,f3880,f3884,f3888,f3892,f3921,f3925,f3929,f3933,f3937,f3941,f3945,f3949,f3953,f3957,f3961,f3965,f3969,f3973,f3977,f4034,f4039,f4043,f4047,f4051,f4055,f4059,f4063,f4067,f4071,f4075,f4079,f4083,f4087,f4091,f4095,f4099,f4103,f4107,f4111,f4205,f4209,f4218,f4222,f4226,f4230,f4234,f4238,f4242,f4246,f4250,f4278,f4282,f4287,f4291,f4295,f4299,f4303,f4307,f4311,f4315,f4319,f4323,f4328,f4332,f4336,f4340,f4344,f4348,f4417,f4423,f4427,f4431,f4435,f4439,f4443,f4447,f4451,f4456,f4460,f4495,f4499,f4503,f4507,f4514,f4518,f4543,f4547,f4551,f4555,f4559,f4563,f4567,f4571,f4576,f4580,f4584,f4662,f4666,f4696,f4700,f4704,f4708,f4709,f4713,f4792,f4796,f4800,f4804,f4808,f4826,f4833,f4837,f4842,f4881,f4885,f4889,f4905,f4911,f4915,f4927,f4939,f4943,f4952,f4972,f4976,f4980,f5052,f5056,f5064,f5068,f5072,f5110,f5114,f5119,f5137,f5141,f5205,f5209,f5221,f5234,f5249,f5253,f5279,f5295,f5304,f5310,f5325,f5329,f5333,f5337,f5342,f5346,f5350,f5354,f5422,f5426,f5430,f5434,f5483,f5489,f5493,f5497,f5501,f5505,f5509,f5523,f5553,f5657,f5661,f5665,f5669,f5673,f5677,f5681,f5685,f5689,f5693,f5697,f5701,f5705,f5710,f5875,f5879,f5883,f5887,f5891,f5895,f5899,f5903,f5907,f5911,f5915,f5958,f6091,f6095,f6099,f6103,f6107,f6111,f6115,f6119,f6123,f6127,f6131,f6135,f6139,f6143,f6198,f6203,f6207,f6211,f6215,f6219,f6223,f6227,f6231,f6235,f6239,f6243,f6247,f6337,f6419,f6423,f6427,f6431,f6435,f6455,f6459,f6569,f6573,f6577,f6581,f6585,f6589,f6593,f6597,f6601,f6605,f6609,f6613,f6617,f6799,f6814,f6818,f6822,f6826,f6830,f6834,f6838,f6842,f6846,f6851,f6942,f6946,f6950,f6954,f6958,f6962,f6966,f6970,f6974,f6993,f6997,f7001,f7005,f7009,f7013,f7017,f7021,f7025,f7029,f7049,f7053,f7057,f7061,f7065,f7069,f7073,f7077,f7081,f7165,f7524,f7638,f7698,f7702,f7706,f7710,f7714,f7724,f7728,f7732,f7736,f7740,f7744,f7748,f7752,f7756,f7760,f8345,f8349,f8353,f8357,f8361,f8365,f8369,f8373,f8377,f8381,f8385,f8389,f8393,f8397,f8401,f8405,f8409,f8413,f8417,f8421,f8425,f8429,f8657,f8880,f9028,f9032,f9036,f9040,f9044,f9073,f9077,f9081,f9085,f9089,f9395,f9399,f9403,f9407,f9411,f9439,f9443,f9447,f9451,f9455,f9459,f9463,f9467,f9471,f9475,f9506,f9510,f9514,f9518,f9522,f9526,f9530,f9534,f9538,f9542,f9546,f10208,f10587,f10591,f10595,f10599,f10603,f10624,f10628,f10632,f10636,f10640,f10644,f10648,f10652,f10656,f10671,f10872,f10945,f10949,f10953,f10957,f10961,f10965,f10969,f10973,f10977,f10981,f10985,f10989,f10993,f10997,f11001,f11005,f11009,f11063,f11471,f11618,f11622,f11626,f11630,f11634,f11638,f11642,f11646,f11650,f11654,f11658,f11662,f11666,f11670,f11674,f11678,f11693,f11697,f11701,f11705,f11709,f11713,f12348,f12352,f12356,f12371,f12375,f12379,f12383,f12387,f12391,f12395,f12399,f12403,f13300,f13304,f13308,f13312,f13316,f13320,f13324,f13328,f13332,f13336,f13340,f13344,f13348,f13352,f13356,f13360,f13786,f14183,f14193,f14197,f14201,f14205,f14209,f14213,f14217,f14538,f14757,f14761,f14765,f14769,f14773,f14777,f14781,f14785,f14789,f14793,f14797,f14801,f15297,f15830,f15834,f15838,f15842,f15846,f15850,f15854,f15858,f15862,f15866,f15870,f15874,f15878,f15882,f15886,f15890,f15894,f16356,f16360,f16364,f16402,f16406,f16410,f16414,f16418,f16422,f16426,f16430,f16434,f16438,f16474,f16478,f16482,f17643,f17683,f17687,f17691,f17695,f17699,f17703,f17707,f17711,f17715,f17719,f17760,f17764,f17768,f17772,f17776,f18712,f18716,f18720,f18724,f18728,f18732,f18736,f18740,f18744,f18748,f18752,f18756,f18760,f18764,f18768,f18772,f18776,f18780,f18784,f18788,f18869,f19362,f19839,f19888,f19892,f19896,f19900,f19904,f19908,f19912,f19916,f19920,f19924,f20666,f20670,f20674,f20678,f20682,f20686,f20690,f20694,f20698,f20702,f20706,f20710,f20714,f20718,f20722,f20726,f20730,f20734,f20738,f20742,f20746,f20750,f20754,f20758,f21398,f21996,f22046,f22050,f22054,f22058,f22062,f22066,f22070,f22074,f22078,f22082,f23066,f23070,f23074,f23078,f23082,f23086,f23090,f23094,f23098,f23102,f23106,f23110,f23114,f23118,f23122,f23126,f23130,f23134,f23138,f24518,f24522,f24526,f24530,f24534,f24538,f24542,f24546,f24550,f24554,f24558,f24562,f24566,f24570,f24574,f24578,f25189,f25394,f25398,f25402,f25406,f25671,f25809,f25813,f25817,f25821,f25825,f25829,f25833,f25837,f25841,f26889,f26933,f26937,f26941,f26945,f26949,f26953,f27270,f27599,f27604,f27609,f27613,f27617,f27621,f27625,f27629,f27633,f27637,f27641,f27645,f27649,f27653,f27657,f28065,f28826,f28841,f28845,f28849,f28853,f28857,f28861,f28865,f28869,f28873,f28877,f28893,f29529,f29533,f29537,f29541,f29545,f29549,f29553,f29557,f29561,f29565,f29569,f29573,f30314,f30905,f30909,f30913,f30917,f31028,f31316,f31320,f31324,f31328,f31760,f31890,f31894,f31898,f31902,f31906,f31910,f31914,f31918,f31922,f32866,f32910,f32914,f32918,f32922,f32926,f32930,f32934,f32938,f32942,f32946,f32988,f33465,f33469,f33473,f33477,f33481,f33485,f33489,f34625,f34629,f34633,f34668,f34672,f34676,f35328,f35362,f35366,f35370,f35374,f35378,f35382,f35925,f36306,f36310,f36314,f36989,f37023,f37027,f37535,f37539,f37879,f37895,f37899,f37903,f37907,f37911,f37915,f37919,f39034,f39038,f39131,f39146,f39150,f39154,f39522,f39526,f39530,f39727,f39743,f39747,f39751,f39755,f39759,f39801,f39805,f39809,f40542,f40546,f40550,f40554,f40558,f40562,f40836,f41110,f41114,f41118,f41122,f41218,f41312,f41496,f41500,f41667,f41671,f41675,f41689,f41693,f41697,f41701,f41705,f42398,f42402,f42562,f42566,f42570,f42574,f42578,f42582,f42586,f42590,f43415,f43532,f43536,f43738,f43742,f43746,f43750,f43754,f43758,f43762,f44266,f44444,f44448,f44452,f44456,f44460,f45062,f45066,f45233,f45402,f45406,f45410,f45639,f45643,f45647,f45651,f46472,f46476,f46480,f46484,f46488,f46492,f46496,f46500,f47366,f47370,f47374,f47378,f47382,f47808,f47812,f48064,f48068,f48072,f48076,f48080,f48084,f48088,f48092,f48096,f48148,f48232,f48236,f48580,f48584,f48588,f48926,f48930,f49189,f49193,f49197,f49201,f49205,f49718,f49722,f50022,f50037,f50300,f50304,f50658,f50674,f50690,f51400,f51404,f51652,f52008,f52023,f52731,f52735,f53091,f53095,f53440,f53456,f53460,f53464,f53468,f54066,f54235,f54239,f54975,f54979,f54983,f55577,f55688,f55692,f55960,f55975,f56719,f56723,f56727,f56731,f57487,f57491,f57775,f57779,f58157,f58172,f58176,f58180,f58932,f58936,f59164,f59275,f59653,f59657,f59957,f59973,f60733,f60889,f60893,f61277,f61292,f61622,f61626,f61630,f61634,f62214,f62410,f62572,f62576,f62914,f63065,f63069,f63231,f63235,f63253,f63262,f63274]) ).
fof(f63274,plain,
( spl0_459
| ~ spl0_521
| ~ spl0_1415 ),
inference(avatar_split_clause,[],[f63236,f63229,f4211,f3717]) ).
fof(f3717,plain,
( spl0_459
<=> c_in(v_X,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_459])]) ).
fof(f4211,plain,
( spl0_521
<=> c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_521])]) ).
fof(f63229,plain,
( spl0_1415
<=> ! [X0] :
( c_in(X0,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(v_K,X0),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1415])]) ).
fof(f63236,plain,
( c_in(v_X,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| ~ spl0_521
| ~ spl0_1415 ),
inference(resolution,[],[f63230,f4213]) ).
fof(f4213,plain,
( c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| ~ spl0_521 ),
inference(avatar_component_clause,[],[f4211]) ).
fof(f63230,plain,
( ! [X0] :
( ~ c_in(c_Message_Omsg_OCrypt(v_K,X0),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(X0,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) )
| ~ spl0_1415 ),
inference(avatar_component_clause,[],[f63229]) ).
fof(f63262,plain,
( spl0_1418
| spl0_1419
| ~ spl0_60
| ~ spl0_729 ),
inference(avatar_split_clause,[],[f6920,f6844,f1700,f63259,f63255]) ).
fof(f63255,plain,
( spl0_1418
<=> c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oparts(c_Message_Osynth(v_G)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1418])]) ).
fof(f63259,plain,
( spl0_1419
<=> c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oparts(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg))),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1419])]) ).
fof(f1700,plain,
( spl0_60
<=> c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f6844,plain,
( spl0_729
<=> ! [X2,X0,X1] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(X0,c_union(X2,X1,tc_Message_Omsg),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_729])]) ).
fof(f6920,plain,
( c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oparts(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg))),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oparts(c_Message_Osynth(v_G)),tc_Message_Omsg)
| ~ spl0_60
| ~ spl0_729 ),
inference(resolution,[],[f6845,f1702]) ).
fof(f1702,plain,
( c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg)
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f1700]) ).
fof(f6845,plain,
( ! [X2,X0,X1] :
( ~ c_in(X0,c_union(X2,X1,tc_Message_Omsg),tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) )
| ~ spl0_729 ),
inference(avatar_component_clause,[],[f6844]) ).
fof(f63253,plain,
( spl0_1417
| ~ spl0_377
| ~ spl0_625 ),
inference(avatar_split_clause,[],[f5306,f5302,f3317,f63251]) ).
fof(f63251,plain,
( spl0_1417
<=> ! [X0] :
( c_in(X0,c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(v_K,X0),c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1417])]) ).
fof(f3317,plain,
( spl0_377
<=> ! [X53,X55] :
( ~ c_in(X53,X55,tc_Message_Omsg)
| c_in(X53,c_Message_Oanalz(X55),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_377])]) ).
fof(f5302,plain,
( spl0_625
<=> ! [X0] :
( c_in(X0,c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(v_K,X0),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_625])]) ).
fof(f5306,plain,
( ! [X0] :
( c_in(X0,c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(v_K,X0),c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_Message_Omsg) )
| ~ spl0_377
| ~ spl0_625 ),
inference(resolution,[],[f5303,f3318]) ).
fof(f3318,plain,
( ! [X55,X53] :
( c_in(X53,c_Message_Oanalz(X55),tc_Message_Omsg)
| ~ c_in(X53,X55,tc_Message_Omsg) )
| ~ spl0_377 ),
inference(avatar_component_clause,[],[f3317]) ).
fof(f5303,plain,
( ! [X0] :
( ~ c_in(c_Message_Omsg_OCrypt(v_K,X0),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(X0,c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_Message_Omsg) )
| ~ spl0_625 ),
inference(avatar_component_clause,[],[f5302]) ).
fof(f63235,plain,
( spl0_1416
| ~ spl0_522
| ~ spl0_766 ),
inference(avatar_split_clause,[],[f7933,f7712,f4215,f63233]) ).
fof(f63233,plain,
( spl0_1416
<=> ! [X0] :
( c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Union(c_uminus(X0,tc_set(tc_set(tc_Message_Omsg))),tc_Message_Omsg),tc_Message_Omsg)
| c_in(c_Message_Osynth(v_G),X0,tc_set(tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1416])]) ).
fof(f4215,plain,
( spl0_522
<=> c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_G),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_522])]) ).
fof(f7712,plain,
( spl0_766
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_Union(c_uminus(X3,tc_set(tc_set(X2))),X2),X2)
| c_in(X1,X3,tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_766])]) ).
fof(f7933,plain,
( ! [X0] :
( c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Union(c_uminus(X0,tc_set(tc_set(tc_Message_Omsg))),tc_Message_Omsg),tc_Message_Omsg)
| c_in(c_Message_Osynth(v_G),X0,tc_set(tc_Message_Omsg)) )
| ~ spl0_522
| ~ spl0_766 ),
inference(resolution,[],[f7713,f4217]) ).
fof(f4217,plain,
( c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_G),tc_Message_Omsg)
| ~ spl0_522 ),
inference(avatar_component_clause,[],[f4215]) ).
fof(f7713,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_Union(c_uminus(X3,tc_set(tc_set(X2))),X2),X2)
| c_in(X1,X3,tc_set(X2)) )
| ~ spl0_766 ),
inference(avatar_component_clause,[],[f7712]) ).
fof(f63231,plain,
( spl0_1415
| ~ spl0_563
| ~ spl0_602 ),
inference(avatar_split_clause,[],[f5525,f4945,f4505,f63229]) ).
fof(f4505,plain,
( spl0_563
<=> ! [X54,X53,X55] :
( c_in(X53,c_Message_Oanalz(X55),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X54)),c_Message_Oanalz(X55),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X54,X53),c_Message_Oanalz(X55),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_563])]) ).
fof(f4945,plain,
( spl0_602
<=> c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_602])]) ).
fof(f5525,plain,
( ! [X0] :
( c_in(X0,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(v_K,X0),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) )
| ~ spl0_563
| ~ spl0_602 ),
inference(resolution,[],[f4947,f4506]) ).
fof(f4506,plain,
( ! [X54,X55,X53] :
( ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X54)),c_Message_Oanalz(X55),tc_Message_Omsg)
| c_in(X53,c_Message_Oanalz(X55),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X54,X53),c_Message_Oanalz(X55),tc_Message_Omsg) )
| ~ spl0_563 ),
inference(avatar_component_clause,[],[f4505]) ).
fof(f4947,plain,
( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| ~ spl0_602 ),
inference(avatar_component_clause,[],[f4945]) ).
fof(f63069,plain,
( spl0_1414
| ~ spl0_650
| ~ spl0_916 ),
inference(avatar_split_clause,[],[f16166,f13334,f5667,f63067]) ).
fof(f63067,plain,
( spl0_1414
<=> ! [X0] : c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg))))),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1414])]) ).
fof(f5667,plain,
( spl0_650
<=> ! [X2,X0,X1] :
( c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X2),X1,tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_650])]) ).
fof(f13334,plain,
( spl0_916
<=> ! [X0] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)))),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_916])]) ).
fof(f16166,plain,
( ! [X0] : c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg))))),tc_Message_Omsg)
| ~ spl0_650
| ~ spl0_916 ),
inference(resolution,[],[f13335,f5668]) ).
fof(f5668,plain,
( ! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OMPair(X0,X2),X1,tc_Message_Omsg)
| c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) )
| ~ spl0_650 ),
inference(avatar_component_clause,[],[f5667]) ).
fof(f13335,plain,
( ! [X0] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)))),tc_Message_Omsg)
| ~ spl0_916 ),
inference(avatar_component_clause,[],[f13334]) ).
fof(f63065,plain,
( spl0_1413
| ~ spl0_60
| ~ spl0_671 ),
inference(avatar_split_clause,[],[f6069,f5913,f1700,f63063]) ).
fof(f63063,plain,
( spl0_1413
<=> ! [X0,X1] : c_in(X0,c_Relation_OImage(c_UNIV,c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg,X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1413])]) ).
fof(f5913,plain,
( spl0_671
<=> ! [X4,X0,X3,X2,X1] :
( c_in(X0,c_Relation_OImage(c_UNIV,X1,X2,X3),X3)
| ~ c_in(X4,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_671])]) ).
fof(f6069,plain,
( ! [X0,X1] : c_in(X0,c_Relation_OImage(c_UNIV,c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg,X1),X1)
| ~ spl0_60
| ~ spl0_671 ),
inference(resolution,[],[f5914,f1702]) ).
fof(f5914,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X4,X1,X2)
| c_in(X0,c_Relation_OImage(c_UNIV,X1,X2,X3),X3) )
| ~ spl0_671 ),
inference(avatar_component_clause,[],[f5913]) ).
fof(f62914,plain,
( spl0_1412
| ~ spl0_48
| ~ spl0_671 ),
inference(avatar_split_clause,[],[f6079,f5913,f1643,f62912]) ).
fof(f62912,plain,
( spl0_1412
<=> ! [X0,X1] : c_in(X0,c_Relation_OImage(c_UNIV,c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_Message_Omsg,X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1412])]) ).
fof(f1643,plain,
( spl0_48
<=> c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f6079,plain,
( ! [X0,X1] : c_in(X0,c_Relation_OImage(c_UNIV,c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_Message_Omsg,X1),X1)
| ~ spl0_48
| ~ spl0_671 ),
inference(resolution,[],[f5914,f1645]) ).
fof(f1645,plain,
( c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_Message_Omsg)
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f1643]) ).
fof(f62576,plain,
( spl0_1411
| ~ spl0_606
| ~ spl0_620 ),
inference(avatar_split_clause,[],[f5244,f5232,f4978,f62574]) ).
fof(f62574,plain,
( spl0_1411
<=> ! [X5,X4,X2,X0,X6,X3,X1] :
( c_Pair(c_Main_Orel__compE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Main_Orel__compE__2(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X0,c_Pair(c_Main_Orel__compE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Main_Orel__compE__2(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),X3,X4),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X0,c_Pair(c_Main_Orel__compE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Main_Orel__compE__2(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_Pair(c_Main_Orel__compE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Main_Orel__compE__2(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X2,c_Pair(c_Main_Orel__compE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Main_Orel__compE__2(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),X3,X4),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X2,c_Pair(c_Main_Orel__compE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Main_Orel__compE__2(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ c_in(X5,c_Relation_Orel__comp(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1411])]) ).
fof(f4978,plain,
( spl0_606
<=> ! [X5,X31,X30,X6,X2,X1] :
( ~ c_in(X30,c_Relation_Orel__comp(X5,X6,X31,X2,X1),tc_prod(X1,X2))
| c_in(c_Pair(c_Main_Orel__compE__1(X5,X6,X30,X31,X2,X1),c_Main_Orel__compE__2(X5,X6,X30,X31,X2,X1),X1,X31),X6,tc_prod(X1,X31)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_606])]) ).
fof(f5232,plain,
( spl0_620
<=> ! [X5,X11,X6,X2,X1] :
( ~ c_in(X11,c_Datatype__Universe_Odsum(X5,X6,X1,X2),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X6,X11,X1,X2),X1,X2),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X6,X11,X1,X2),X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))) = X11
| c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X5,X11,X1,X2),X1,X2),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X5,X11,X1,X2),X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))) = X11 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_620])]) ).
fof(f5244,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( c_Pair(c_Main_Orel__compE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Main_Orel__compE__2(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X0,c_Pair(c_Main_Orel__compE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Main_Orel__compE__2(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),X3,X4),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X0,c_Pair(c_Main_Orel__compE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Main_Orel__compE__2(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_Pair(c_Main_Orel__compE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Main_Orel__compE__2(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X2,c_Pair(c_Main_Orel__compE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Main_Orel__compE__2(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),X3,X4),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X2,c_Pair(c_Main_Orel__compE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Main_Orel__compE__2(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ c_in(X5,c_Relation_Orel__comp(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6)) )
| ~ spl0_606
| ~ spl0_620 ),
inference(resolution,[],[f5233,f4979]) ).
fof(f4979,plain,
( ! [X31,X2,X1,X6,X5,X30] :
( c_in(c_Pair(c_Main_Orel__compE__1(X5,X6,X30,X31,X2,X1),c_Main_Orel__compE__2(X5,X6,X30,X31,X2,X1),X1,X31),X6,tc_prod(X1,X31))
| ~ c_in(X30,c_Relation_Orel__comp(X5,X6,X31,X2,X1),tc_prod(X1,X2)) )
| ~ spl0_606 ),
inference(avatar_component_clause,[],[f4978]) ).
fof(f5233,plain,
( ! [X2,X11,X1,X6,X5] :
( ~ c_in(X11,c_Datatype__Universe_Odsum(X5,X6,X1,X2),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X6,X11,X1,X2),X1,X2),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X6,X11,X1,X2),X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))) = X11
| c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X5,X11,X1,X2),X1,X2),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X5,X11,X1,X2),X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))) = X11 )
| ~ spl0_620 ),
inference(avatar_component_clause,[],[f5232]) ).
fof(f62572,plain,
( spl0_1410
| ~ spl0_605
| ~ spl0_620 ),
inference(avatar_split_clause,[],[f5243,f5232,f4974,f62570]) ).
fof(f62570,plain,
( spl0_1410
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( c_Pair(c_Main_Orel__compE__2(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),c_Main_Orel__compE__3(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X0,c_Pair(c_Main_Orel__compE__2(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),c_Main_Orel__compE__3(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X2,X3),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X0,c_Pair(c_Main_Orel__compE__2(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),c_Main_Orel__compE__3(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_Pair(c_Main_Orel__compE__2(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),c_Main_Orel__compE__3(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X1,c_Pair(c_Main_Orel__compE__2(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),c_Main_Orel__compE__3(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X2,X3),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X1,c_Pair(c_Main_Orel__compE__2(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),c_Main_Orel__compE__3(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ c_in(X5,c_Relation_Orel__comp(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),tc_prod(X6,tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1410])]) ).
fof(f4974,plain,
( spl0_605
<=> ! [X5,X31,X30,X6,X2,X1] :
( ~ c_in(X30,c_Relation_Orel__comp(X5,X6,X31,X2,X1),tc_prod(X1,X2))
| c_in(c_Pair(c_Main_Orel__compE__2(X5,X6,X30,X31,X2,X1),c_Main_Orel__compE__3(X5,X6,X30,X31,X2,X1),X31,X2),X5,tc_prod(X31,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_605])]) ).
fof(f5243,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( c_Pair(c_Main_Orel__compE__2(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),c_Main_Orel__compE__3(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X0,c_Pair(c_Main_Orel__compE__2(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),c_Main_Orel__compE__3(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X2,X3),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X0,c_Pair(c_Main_Orel__compE__2(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),c_Main_Orel__compE__3(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_Pair(c_Main_Orel__compE__2(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),c_Main_Orel__compE__3(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X1,c_Pair(c_Main_Orel__compE__2(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),c_Main_Orel__compE__3(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X2,X3),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X1,c_Pair(c_Main_Orel__compE__2(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),c_Main_Orel__compE__3(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ c_in(X5,c_Relation_Orel__comp(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),tc_prod(X6,tc_set(tc_Datatype__Universe_Onode(X2,X3)))) )
| ~ spl0_605
| ~ spl0_620 ),
inference(resolution,[],[f5233,f4975]) ).
fof(f4975,plain,
( ! [X31,X2,X1,X6,X5,X30] :
( c_in(c_Pair(c_Main_Orel__compE__2(X5,X6,X30,X31,X2,X1),c_Main_Orel__compE__3(X5,X6,X30,X31,X2,X1),X31,X2),X5,tc_prod(X31,X2))
| ~ c_in(X30,c_Relation_Orel__comp(X5,X6,X31,X2,X1),tc_prod(X1,X2)) )
| ~ spl0_605 ),
inference(avatar_component_clause,[],[f4974]) ).
fof(f62410,plain,
( spl0_1409
| ~ spl0_590
| ~ spl0_620 ),
inference(avatar_split_clause,[],[f5242,f5232,f4831,f62408]) ).
fof(f62408,plain,
( spl0_1409
<=> ! [X4,X0,X3,X2,X1] :
( c_Pair(c_Main_OconverseE__1(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Main_OconverseE__2(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X0,c_Pair(c_Main_OconverseE__1(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Main_OconverseE__2(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X2,X3),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X0,c_Pair(c_Main_OconverseE__1(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Main_OconverseE__2(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_Pair(c_Main_OconverseE__1(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Main_OconverseE__2(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X1,c_Pair(c_Main_OconverseE__1(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Main_OconverseE__2(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X2,X3),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X1,c_Pair(c_Main_OconverseE__1(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Main_OconverseE__2(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ c_in(X4,c_Relation_Oconverse(c_Datatype__Universe_Odsum(X1,X0,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1409])]) ).
fof(f4831,plain,
( spl0_590
<=> ! [X5,X29,X2,X1] :
( ~ c_in(X29,c_Relation_Oconverse(X5,X2,X1),tc_prod(X1,X2))
| c_in(c_Pair(c_Main_OconverseE__1(X5,X29,X2,X1),c_Main_OconverseE__2(X5,X29,X2,X1),X2,X1),X5,tc_prod(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_590])]) ).
fof(f5242,plain,
( ! [X2,X3,X0,X1,X4] :
( c_Pair(c_Main_OconverseE__1(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Main_OconverseE__2(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X0,c_Pair(c_Main_OconverseE__1(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Main_OconverseE__2(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X2,X3),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X0,c_Pair(c_Main_OconverseE__1(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Main_OconverseE__2(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_Pair(c_Main_OconverseE__1(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Main_OconverseE__2(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X1,c_Pair(c_Main_OconverseE__1(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Main_OconverseE__2(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X2,X3),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X1,c_Pair(c_Main_OconverseE__1(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Main_OconverseE__2(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ c_in(X4,c_Relation_Oconverse(c_Datatype__Universe_Odsum(X1,X0,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) )
| ~ spl0_590
| ~ spl0_620 ),
inference(resolution,[],[f5233,f4832]) ).
fof(f4832,plain,
( ! [X2,X29,X1,X5] :
( c_in(c_Pair(c_Main_OconverseE__1(X5,X29,X2,X1),c_Main_OconverseE__2(X5,X29,X2,X1),X2,X1),X5,tc_prod(X2,X1))
| ~ c_in(X29,c_Relation_Oconverse(X5,X2,X1),tc_prod(X1,X2)) )
| ~ spl0_590 ),
inference(avatar_component_clause,[],[f4831]) ).
fof(f62214,plain,
( spl0_1408
| ~ spl0_652
| ~ spl0_916 ),
inference(avatar_split_clause,[],[f16164,f13334,f5675,f62212]) ).
fof(f62212,plain,
( spl0_1408
<=> ! [X0] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg))))),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1408])]) ).
fof(f5675,plain,
( spl0_652
<=> ! [X2,X0,X1] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X2),X1,tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_652])]) ).
fof(f16164,plain,
( ! [X0] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg))))),tc_Message_Omsg)
| ~ spl0_652
| ~ spl0_916 ),
inference(resolution,[],[f13335,f5676]) ).
fof(f5676,plain,
( ! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OMPair(X0,X2),X1,tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) )
| ~ spl0_652 ),
inference(avatar_component_clause,[],[f5675]) ).
fof(f61634,plain,
( spl0_1407
| ~ spl0_606
| ~ spl0_622 ),
inference(avatar_split_clause,[],[f5274,f5251,f4978,f61632]) ).
fof(f61632,plain,
( spl0_1407
<=> ! [X5,X4,X2,X0,X6,X3,X1] :
( c_Pair(c_Main_Orel__compE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Main_Orel__compE__2(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X0,c_Pair(c_Main_Orel__compE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Main_Orel__compE__2(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),X3,X4),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X0,c_Pair(c_Main_Orel__compE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Main_Orel__compE__2(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_in(c_Pair(c_Main_OdsumE__1(X2,c_Pair(c_Main_Orel__compE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Main_Orel__compE__2(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),c_Main_OdsumE__2(X2,c_Pair(c_Main_Orel__compE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Main_Orel__compE__2(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| ~ c_in(X5,c_Relation_Orel__comp(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1407])]) ).
fof(f5251,plain,
( spl0_622
<=> ! [X5,X11,X6,X2,X1] :
( ~ c_in(X11,c_Datatype__Universe_Odsum(X5,X6,X1,X2),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X6,X11,X1,X2),X1,X2),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X6,X11,X1,X2),X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))) = X11
| c_in(c_Pair(c_Main_OdsumE__1(X5,X11,X1,X2),c_Main_OdsumE__2(X5,X11,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_622])]) ).
fof(f5274,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( c_Pair(c_Main_Orel__compE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Main_Orel__compE__2(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X0,c_Pair(c_Main_Orel__compE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Main_Orel__compE__2(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),X3,X4),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X0,c_Pair(c_Main_Orel__compE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Main_Orel__compE__2(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_in(c_Pair(c_Main_OdsumE__1(X2,c_Pair(c_Main_Orel__compE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Main_Orel__compE__2(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),c_Main_OdsumE__2(X2,c_Pair(c_Main_Orel__compE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Main_Orel__compE__2(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| ~ c_in(X5,c_Relation_Orel__comp(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6)) )
| ~ spl0_606
| ~ spl0_622 ),
inference(resolution,[],[f5252,f4979]) ).
fof(f5252,plain,
( ! [X2,X11,X1,X6,X5] :
( ~ c_in(X11,c_Datatype__Universe_Odsum(X5,X6,X1,X2),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X6,X11,X1,X2),X1,X2),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X6,X11,X1,X2),X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))) = X11
| c_in(c_Pair(c_Main_OdsumE__1(X5,X11,X1,X2),c_Main_OdsumE__2(X5,X11,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2)))) )
| ~ spl0_622 ),
inference(avatar_component_clause,[],[f5251]) ).
fof(f61630,plain,
( spl0_1406
| ~ spl0_605
| ~ spl0_622 ),
inference(avatar_split_clause,[],[f5273,f5251,f4974,f61628]) ).
fof(f61628,plain,
( spl0_1406
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( c_Pair(c_Main_Orel__compE__2(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),c_Main_Orel__compE__3(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X0,c_Pair(c_Main_Orel__compE__2(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),c_Main_Orel__compE__3(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X2,X3),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X0,c_Pair(c_Main_Orel__compE__2(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),c_Main_Orel__compE__3(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_in(c_Pair(c_Main_OdsumE__1(X1,c_Pair(c_Main_Orel__compE__2(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),c_Main_Orel__compE__3(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),c_Main_OdsumE__2(X1,c_Pair(c_Main_Orel__compE__2(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),c_Main_Orel__compE__3(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| ~ c_in(X5,c_Relation_Orel__comp(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),tc_prod(X6,tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1406])]) ).
fof(f5273,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( c_Pair(c_Main_Orel__compE__2(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),c_Main_Orel__compE__3(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X0,c_Pair(c_Main_Orel__compE__2(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),c_Main_Orel__compE__3(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X2,X3),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X0,c_Pair(c_Main_Orel__compE__2(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),c_Main_Orel__compE__3(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_in(c_Pair(c_Main_OdsumE__1(X1,c_Pair(c_Main_Orel__compE__2(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),c_Main_Orel__compE__3(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),c_Main_OdsumE__2(X1,c_Pair(c_Main_Orel__compE__2(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),c_Main_Orel__compE__3(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| ~ c_in(X5,c_Relation_Orel__comp(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),tc_prod(X6,tc_set(tc_Datatype__Universe_Onode(X2,X3)))) )
| ~ spl0_605
| ~ spl0_622 ),
inference(resolution,[],[f5252,f4975]) ).
fof(f61626,plain,
( spl0_1405
| ~ spl0_606
| ~ spl0_621 ),
inference(avatar_split_clause,[],[f5263,f5247,f4978,f61624]) ).
fof(f61624,plain,
( spl0_1405
<=> ! [X5,X4,X2,X0,X6,X3,X1] :
( c_Pair(c_Main_Orel__compE__1(X1,c_Datatype__Universe_Odsum(X0,X2,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Main_Orel__compE__2(X1,c_Datatype__Universe_Odsum(X0,X2,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X0,c_Pair(c_Main_Orel__compE__1(X1,c_Datatype__Universe_Odsum(X0,X2,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Main_Orel__compE__2(X1,c_Datatype__Universe_Odsum(X0,X2,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),X3,X4),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X0,c_Pair(c_Main_Orel__compE__1(X1,c_Datatype__Universe_Odsum(X0,X2,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Main_Orel__compE__2(X1,c_Datatype__Universe_Odsum(X0,X2,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_in(c_Pair(c_Main_OdsumE__3(X2,c_Pair(c_Main_Orel__compE__1(X1,c_Datatype__Universe_Odsum(X0,X2,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Main_Orel__compE__2(X1,c_Datatype__Universe_Odsum(X0,X2,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),c_Main_OdsumE__4(X2,c_Pair(c_Main_Orel__compE__1(X1,c_Datatype__Universe_Odsum(X0,X2,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Main_Orel__compE__2(X1,c_Datatype__Universe_Odsum(X0,X2,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| ~ c_in(X5,c_Relation_Orel__comp(X1,c_Datatype__Universe_Odsum(X0,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1405])]) ).
fof(f5247,plain,
( spl0_621
<=> ! [X5,X11,X6,X2,X1] :
( ~ c_in(X11,c_Datatype__Universe_Odsum(X5,X6,X1,X2),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X5,X11,X1,X2),X1,X2),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X5,X11,X1,X2),X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))) = X11
| c_in(c_Pair(c_Main_OdsumE__3(X6,X11,X1,X2),c_Main_OdsumE__4(X6,X11,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X6,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_621])]) ).
fof(f5263,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( c_Pair(c_Main_Orel__compE__1(X1,c_Datatype__Universe_Odsum(X0,X2,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Main_Orel__compE__2(X1,c_Datatype__Universe_Odsum(X0,X2,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X0,c_Pair(c_Main_Orel__compE__1(X1,c_Datatype__Universe_Odsum(X0,X2,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Main_Orel__compE__2(X1,c_Datatype__Universe_Odsum(X0,X2,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),X3,X4),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X0,c_Pair(c_Main_Orel__compE__1(X1,c_Datatype__Universe_Odsum(X0,X2,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Main_Orel__compE__2(X1,c_Datatype__Universe_Odsum(X0,X2,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_in(c_Pair(c_Main_OdsumE__3(X2,c_Pair(c_Main_Orel__compE__1(X1,c_Datatype__Universe_Odsum(X0,X2,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Main_Orel__compE__2(X1,c_Datatype__Universe_Odsum(X0,X2,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),c_Main_OdsumE__4(X2,c_Pair(c_Main_Orel__compE__1(X1,c_Datatype__Universe_Odsum(X0,X2,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Main_Orel__compE__2(X1,c_Datatype__Universe_Odsum(X0,X2,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| ~ c_in(X5,c_Relation_Orel__comp(X1,c_Datatype__Universe_Odsum(X0,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6)) )
| ~ spl0_606
| ~ spl0_621 ),
inference(resolution,[],[f5248,f4979]) ).
fof(f5248,plain,
( ! [X2,X11,X1,X6,X5] :
( ~ c_in(X11,c_Datatype__Universe_Odsum(X5,X6,X1,X2),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X5,X11,X1,X2),X1,X2),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X5,X11,X1,X2),X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))) = X11
| c_in(c_Pair(c_Main_OdsumE__3(X6,X11,X1,X2),c_Main_OdsumE__4(X6,X11,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X6,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2)))) )
| ~ spl0_621 ),
inference(avatar_component_clause,[],[f5247]) ).
fof(f61622,plain,
( spl0_1404
| ~ spl0_605
| ~ spl0_621 ),
inference(avatar_split_clause,[],[f5262,f5247,f4974,f61620]) ).
fof(f61620,plain,
( spl0_1404
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( c_Pair(c_Main_Orel__compE__2(c_Datatype__Universe_Odsum(X0,X1,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),c_Main_Orel__compE__3(c_Datatype__Universe_Odsum(X0,X1,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X0,c_Pair(c_Main_Orel__compE__2(c_Datatype__Universe_Odsum(X0,X1,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),c_Main_Orel__compE__3(c_Datatype__Universe_Odsum(X0,X1,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X2,X3),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X0,c_Pair(c_Main_Orel__compE__2(c_Datatype__Universe_Odsum(X0,X1,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),c_Main_Orel__compE__3(c_Datatype__Universe_Odsum(X0,X1,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_in(c_Pair(c_Main_OdsumE__3(X1,c_Pair(c_Main_Orel__compE__2(c_Datatype__Universe_Odsum(X0,X1,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),c_Main_Orel__compE__3(c_Datatype__Universe_Odsum(X0,X1,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),c_Main_OdsumE__4(X1,c_Pair(c_Main_Orel__compE__2(c_Datatype__Universe_Odsum(X0,X1,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),c_Main_Orel__compE__3(c_Datatype__Universe_Odsum(X0,X1,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| ~ c_in(X5,c_Relation_Orel__comp(c_Datatype__Universe_Odsum(X0,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),tc_prod(X6,tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1404])]) ).
fof(f5262,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( c_Pair(c_Main_Orel__compE__2(c_Datatype__Universe_Odsum(X0,X1,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),c_Main_Orel__compE__3(c_Datatype__Universe_Odsum(X0,X1,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X0,c_Pair(c_Main_Orel__compE__2(c_Datatype__Universe_Odsum(X0,X1,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),c_Main_Orel__compE__3(c_Datatype__Universe_Odsum(X0,X1,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X2,X3),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X0,c_Pair(c_Main_Orel__compE__2(c_Datatype__Universe_Odsum(X0,X1,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),c_Main_Orel__compE__3(c_Datatype__Universe_Odsum(X0,X1,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_in(c_Pair(c_Main_OdsumE__3(X1,c_Pair(c_Main_Orel__compE__2(c_Datatype__Universe_Odsum(X0,X1,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),c_Main_Orel__compE__3(c_Datatype__Universe_Odsum(X0,X1,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),c_Main_OdsumE__4(X1,c_Pair(c_Main_Orel__compE__2(c_Datatype__Universe_Odsum(X0,X1,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),c_Main_Orel__compE__3(c_Datatype__Universe_Odsum(X0,X1,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| ~ c_in(X5,c_Relation_Orel__comp(c_Datatype__Universe_Odsum(X0,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),tc_prod(X6,tc_set(tc_Datatype__Universe_Onode(X2,X3)))) )
| ~ spl0_605
| ~ spl0_621 ),
inference(resolution,[],[f5248,f4975]) ).
fof(f61292,plain,
( spl0_1403
| ~ spl0_606
| ~ spl0_619 ),
inference(avatar_split_clause,[],[f5229,f5219,f4978,f61290]) ).
fof(f61290,plain,
( spl0_1403
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( c_Pair(c_Main_Orel__compE__1(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Main_Orel__compE__2(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = c_Pair(c_Datatype__Universe_OScons(c_Main_OdprodE__1(c_Pair(c_Main_Orel__compE__1(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Main_Orel__compE__2(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,X2,X3,X4),c_Main_OdprodE__2(c_Pair(c_Main_Orel__compE__1(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Main_Orel__compE__2(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,X2,X3,X4),X3,X4),c_Datatype__Universe_OScons(c_Main_OdprodE__3(c_Pair(c_Main_Orel__compE__1(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Main_Orel__compE__2(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,X2,X3,X4),c_Main_OdprodE__4(c_Pair(c_Main_Orel__compE__1(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Main_Orel__compE__2(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,X2,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ c_in(X5,c_Relation_Orel__comp(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1403])]) ).
fof(f5219,plain,
( spl0_619
<=> ! [X5,X4,X6,X2,X1] :
( ~ c_in(X4,c_Datatype__Universe_Odprod(X5,X6,X1,X2),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| c_Pair(c_Datatype__Universe_OScons(c_Main_OdprodE__1(X4,X5,X6,X1,X2),c_Main_OdprodE__2(X4,X5,X6,X1,X2),X1,X2),c_Datatype__Universe_OScons(c_Main_OdprodE__3(X4,X5,X6,X1,X2),c_Main_OdprodE__4(X4,X5,X6,X1,X2),X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))) = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_619])]) ).
fof(f5229,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( c_Pair(c_Main_Orel__compE__1(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Main_Orel__compE__2(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = c_Pair(c_Datatype__Universe_OScons(c_Main_OdprodE__1(c_Pair(c_Main_Orel__compE__1(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Main_Orel__compE__2(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,X2,X3,X4),c_Main_OdprodE__2(c_Pair(c_Main_Orel__compE__1(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Main_Orel__compE__2(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,X2,X3,X4),X3,X4),c_Datatype__Universe_OScons(c_Main_OdprodE__3(c_Pair(c_Main_Orel__compE__1(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Main_Orel__compE__2(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,X2,X3,X4),c_Main_OdprodE__4(c_Pair(c_Main_Orel__compE__1(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Main_Orel__compE__2(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,X2,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ c_in(X5,c_Relation_Orel__comp(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6)) )
| ~ spl0_606
| ~ spl0_619 ),
inference(resolution,[],[f5220,f4979]) ).
fof(f5220,plain,
( ! [X2,X1,X6,X4,X5] :
( ~ c_in(X4,c_Datatype__Universe_Odprod(X5,X6,X1,X2),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| c_Pair(c_Datatype__Universe_OScons(c_Main_OdprodE__1(X4,X5,X6,X1,X2),c_Main_OdprodE__2(X4,X5,X6,X1,X2),X1,X2),c_Datatype__Universe_OScons(c_Main_OdprodE__3(X4,X5,X6,X1,X2),c_Main_OdprodE__4(X4,X5,X6,X1,X2),X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))) = X4 )
| ~ spl0_619 ),
inference(avatar_component_clause,[],[f5219]) ).
fof(f61277,plain,
( spl0_1402
| ~ spl0_605
| ~ spl0_619 ),
inference(avatar_split_clause,[],[f5228,f5219,f4974,f61275]) ).
fof(f61275,plain,
( spl0_1402
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( c_Pair(c_Main_Orel__compE__2(c_Datatype__Universe_Odprod(X0,X1,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),c_Main_Orel__compE__3(c_Datatype__Universe_Odprod(X0,X1,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = c_Pair(c_Datatype__Universe_OScons(c_Main_OdprodE__1(c_Pair(c_Main_Orel__compE__2(c_Datatype__Universe_Odprod(X0,X1,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),c_Main_Orel__compE__3(c_Datatype__Universe_Odprod(X0,X1,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X0,X1,X2,X3),c_Main_OdprodE__2(c_Pair(c_Main_Orel__compE__2(c_Datatype__Universe_Odprod(X0,X1,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),c_Main_Orel__compE__3(c_Datatype__Universe_Odprod(X0,X1,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X0,X1,X2,X3),X2,X3),c_Datatype__Universe_OScons(c_Main_OdprodE__3(c_Pair(c_Main_Orel__compE__2(c_Datatype__Universe_Odprod(X0,X1,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),c_Main_Orel__compE__3(c_Datatype__Universe_Odprod(X0,X1,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X0,X1,X2,X3),c_Main_OdprodE__4(c_Pair(c_Main_Orel__compE__2(c_Datatype__Universe_Odprod(X0,X1,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),c_Main_Orel__compE__3(c_Datatype__Universe_Odprod(X0,X1,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X0,X1,X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ c_in(X5,c_Relation_Orel__comp(c_Datatype__Universe_Odprod(X0,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),tc_prod(X6,tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1402])]) ).
fof(f5228,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( c_Pair(c_Main_Orel__compE__2(c_Datatype__Universe_Odprod(X0,X1,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),c_Main_Orel__compE__3(c_Datatype__Universe_Odprod(X0,X1,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = c_Pair(c_Datatype__Universe_OScons(c_Main_OdprodE__1(c_Pair(c_Main_Orel__compE__2(c_Datatype__Universe_Odprod(X0,X1,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),c_Main_Orel__compE__3(c_Datatype__Universe_Odprod(X0,X1,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X0,X1,X2,X3),c_Main_OdprodE__2(c_Pair(c_Main_Orel__compE__2(c_Datatype__Universe_Odprod(X0,X1,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),c_Main_Orel__compE__3(c_Datatype__Universe_Odprod(X0,X1,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X0,X1,X2,X3),X2,X3),c_Datatype__Universe_OScons(c_Main_OdprodE__3(c_Pair(c_Main_Orel__compE__2(c_Datatype__Universe_Odprod(X0,X1,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),c_Main_Orel__compE__3(c_Datatype__Universe_Odprod(X0,X1,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X0,X1,X2,X3),c_Main_OdprodE__4(c_Pair(c_Main_Orel__compE__2(c_Datatype__Universe_Odprod(X0,X1,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),c_Main_Orel__compE__3(c_Datatype__Universe_Odprod(X0,X1,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X0,X1,X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ c_in(X5,c_Relation_Orel__comp(c_Datatype__Universe_Odprod(X0,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),tc_prod(X6,tc_set(tc_Datatype__Universe_Onode(X2,X3)))) )
| ~ spl0_605
| ~ spl0_619 ),
inference(resolution,[],[f5220,f4975]) ).
fof(f60893,plain,
( spl0_1401
| ~ spl0_590
| ~ spl0_622 ),
inference(avatar_split_clause,[],[f5272,f5251,f4831,f60891]) ).
fof(f60891,plain,
( spl0_1401
<=> ! [X4,X0,X3,X2,X1] :
( c_Pair(c_Main_OconverseE__1(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Main_OconverseE__2(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X0,c_Pair(c_Main_OconverseE__1(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Main_OconverseE__2(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X2,X3),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X0,c_Pair(c_Main_OconverseE__1(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Main_OconverseE__2(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_in(c_Pair(c_Main_OdsumE__1(X1,c_Pair(c_Main_OconverseE__1(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Main_OconverseE__2(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),c_Main_OdsumE__2(X1,c_Pair(c_Main_OconverseE__1(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Main_OconverseE__2(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| ~ c_in(X4,c_Relation_Oconverse(c_Datatype__Universe_Odsum(X1,X0,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1401])]) ).
fof(f5272,plain,
( ! [X2,X3,X0,X1,X4] :
( c_Pair(c_Main_OconverseE__1(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Main_OconverseE__2(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X0,c_Pair(c_Main_OconverseE__1(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Main_OconverseE__2(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X2,X3),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X0,c_Pair(c_Main_OconverseE__1(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Main_OconverseE__2(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_in(c_Pair(c_Main_OdsumE__1(X1,c_Pair(c_Main_OconverseE__1(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Main_OconverseE__2(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),c_Main_OdsumE__2(X1,c_Pair(c_Main_OconverseE__1(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Main_OconverseE__2(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| ~ c_in(X4,c_Relation_Oconverse(c_Datatype__Universe_Odsum(X1,X0,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) )
| ~ spl0_590
| ~ spl0_622 ),
inference(resolution,[],[f5252,f4832]) ).
fof(f60889,plain,
( spl0_1400
| ~ spl0_590
| ~ spl0_621 ),
inference(avatar_split_clause,[],[f5261,f5247,f4831,f60887]) ).
fof(f60887,plain,
( spl0_1400
<=> ! [X4,X0,X3,X2,X1] :
( c_Pair(c_Main_OconverseE__1(c_Datatype__Universe_Odsum(X0,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Main_OconverseE__2(c_Datatype__Universe_Odsum(X0,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X0,c_Pair(c_Main_OconverseE__1(c_Datatype__Universe_Odsum(X0,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Main_OconverseE__2(c_Datatype__Universe_Odsum(X0,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X2,X3),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X0,c_Pair(c_Main_OconverseE__1(c_Datatype__Universe_Odsum(X0,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Main_OconverseE__2(c_Datatype__Universe_Odsum(X0,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_in(c_Pair(c_Main_OdsumE__3(X1,c_Pair(c_Main_OconverseE__1(c_Datatype__Universe_Odsum(X0,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Main_OconverseE__2(c_Datatype__Universe_Odsum(X0,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),c_Main_OdsumE__4(X1,c_Pair(c_Main_OconverseE__1(c_Datatype__Universe_Odsum(X0,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Main_OconverseE__2(c_Datatype__Universe_Odsum(X0,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| ~ c_in(X4,c_Relation_Oconverse(c_Datatype__Universe_Odsum(X0,X1,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1400])]) ).
fof(f5261,plain,
( ! [X2,X3,X0,X1,X4] :
( c_Pair(c_Main_OconverseE__1(c_Datatype__Universe_Odsum(X0,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Main_OconverseE__2(c_Datatype__Universe_Odsum(X0,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X0,c_Pair(c_Main_OconverseE__1(c_Datatype__Universe_Odsum(X0,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Main_OconverseE__2(c_Datatype__Universe_Odsum(X0,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X2,X3),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X0,c_Pair(c_Main_OconverseE__1(c_Datatype__Universe_Odsum(X0,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Main_OconverseE__2(c_Datatype__Universe_Odsum(X0,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_in(c_Pair(c_Main_OdsumE__3(X1,c_Pair(c_Main_OconverseE__1(c_Datatype__Universe_Odsum(X0,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Main_OconverseE__2(c_Datatype__Universe_Odsum(X0,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),c_Main_OdsumE__4(X1,c_Pair(c_Main_OconverseE__1(c_Datatype__Universe_Odsum(X0,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Main_OconverseE__2(c_Datatype__Universe_Odsum(X0,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| ~ c_in(X4,c_Relation_Oconverse(c_Datatype__Universe_Odsum(X0,X1,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) )
| ~ spl0_590
| ~ spl0_621 ),
inference(resolution,[],[f5248,f4832]) ).
fof(f60733,plain,
( spl0_1399
| ~ spl0_590
| ~ spl0_619 ),
inference(avatar_split_clause,[],[f5227,f5219,f4831,f60731]) ).
fof(f60731,plain,
( spl0_1399
<=> ! [X4,X0,X3,X2,X1] :
( c_Pair(c_Main_OconverseE__1(c_Datatype__Universe_Odprod(X0,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Main_OconverseE__2(c_Datatype__Universe_Odprod(X0,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = c_Pair(c_Datatype__Universe_OScons(c_Main_OdprodE__1(c_Pair(c_Main_OconverseE__1(c_Datatype__Universe_Odprod(X0,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Main_OconverseE__2(c_Datatype__Universe_Odprod(X0,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X0,X1,X2,X3),c_Main_OdprodE__2(c_Pair(c_Main_OconverseE__1(c_Datatype__Universe_Odprod(X0,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Main_OconverseE__2(c_Datatype__Universe_Odprod(X0,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X0,X1,X2,X3),X2,X3),c_Datatype__Universe_OScons(c_Main_OdprodE__3(c_Pair(c_Main_OconverseE__1(c_Datatype__Universe_Odprod(X0,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Main_OconverseE__2(c_Datatype__Universe_Odprod(X0,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X0,X1,X2,X3),c_Main_OdprodE__4(c_Pair(c_Main_OconverseE__1(c_Datatype__Universe_Odprod(X0,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Main_OconverseE__2(c_Datatype__Universe_Odprod(X0,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X0,X1,X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ c_in(X4,c_Relation_Oconverse(c_Datatype__Universe_Odprod(X0,X1,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1399])]) ).
fof(f5227,plain,
( ! [X2,X3,X0,X1,X4] :
( c_Pair(c_Main_OconverseE__1(c_Datatype__Universe_Odprod(X0,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Main_OconverseE__2(c_Datatype__Universe_Odprod(X0,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = c_Pair(c_Datatype__Universe_OScons(c_Main_OdprodE__1(c_Pair(c_Main_OconverseE__1(c_Datatype__Universe_Odprod(X0,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Main_OconverseE__2(c_Datatype__Universe_Odprod(X0,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X0,X1,X2,X3),c_Main_OdprodE__2(c_Pair(c_Main_OconverseE__1(c_Datatype__Universe_Odprod(X0,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Main_OconverseE__2(c_Datatype__Universe_Odprod(X0,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X0,X1,X2,X3),X2,X3),c_Datatype__Universe_OScons(c_Main_OdprodE__3(c_Pair(c_Main_OconverseE__1(c_Datatype__Universe_Odprod(X0,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Main_OconverseE__2(c_Datatype__Universe_Odprod(X0,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X0,X1,X2,X3),c_Main_OdprodE__4(c_Pair(c_Main_OconverseE__1(c_Datatype__Universe_Odprod(X0,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Main_OconverseE__2(c_Datatype__Universe_Odprod(X0,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X0,X1,X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ c_in(X4,c_Relation_Oconverse(c_Datatype__Universe_Odprod(X0,X1,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) )
| ~ spl0_590
| ~ spl0_619 ),
inference(resolution,[],[f5220,f4832]) ).
fof(f59973,plain,
( spl0_1398
| ~ spl0_606
| ~ spl0_623 ),
inference(avatar_split_clause,[],[f5289,f5277,f4978,f59971]) ).
fof(f59971,plain,
( spl0_1398
<=> ! [X5,X4,X2,X0,X6,X3,X1] :
( c_in(c_Pair(c_Main_OdsumE__3(X0,c_Pair(c_Main_Orel__compE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Main_Orel__compE__2(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),c_Main_OdsumE__4(X0,c_Pair(c_Main_Orel__compE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Main_Orel__compE__2(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X0,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_in(c_Pair(c_Main_OdsumE__1(X2,c_Pair(c_Main_Orel__compE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Main_Orel__compE__2(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),c_Main_OdsumE__2(X2,c_Pair(c_Main_Orel__compE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Main_Orel__compE__2(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| ~ c_in(X5,c_Relation_Orel__comp(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1398])]) ).
fof(f5277,plain,
( spl0_623
<=> ! [X5,X11,X6,X2,X1] :
( ~ c_in(X11,c_Datatype__Universe_Odsum(X5,X6,X1,X2),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| c_in(c_Pair(c_Main_OdsumE__3(X6,X11,X1,X2),c_Main_OdsumE__4(X6,X11,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X6,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| c_in(c_Pair(c_Main_OdsumE__1(X5,X11,X1,X2),c_Main_OdsumE__2(X5,X11,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_623])]) ).
fof(f5289,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( c_in(c_Pair(c_Main_OdsumE__3(X0,c_Pair(c_Main_Orel__compE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Main_Orel__compE__2(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),c_Main_OdsumE__4(X0,c_Pair(c_Main_Orel__compE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Main_Orel__compE__2(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X0,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_in(c_Pair(c_Main_OdsumE__1(X2,c_Pair(c_Main_Orel__compE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Main_Orel__compE__2(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),c_Main_OdsumE__2(X2,c_Pair(c_Main_Orel__compE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Main_Orel__compE__2(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| ~ c_in(X5,c_Relation_Orel__comp(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6)) )
| ~ spl0_606
| ~ spl0_623 ),
inference(resolution,[],[f5278,f4979]) ).
fof(f5278,plain,
( ! [X2,X11,X1,X6,X5] :
( ~ c_in(X11,c_Datatype__Universe_Odsum(X5,X6,X1,X2),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| c_in(c_Pair(c_Main_OdsumE__3(X6,X11,X1,X2),c_Main_OdsumE__4(X6,X11,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X6,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| c_in(c_Pair(c_Main_OdsumE__1(X5,X11,X1,X2),c_Main_OdsumE__2(X5,X11,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2)))) )
| ~ spl0_623 ),
inference(avatar_component_clause,[],[f5277]) ).
fof(f59957,plain,
( spl0_1397
| ~ spl0_605
| ~ spl0_623 ),
inference(avatar_split_clause,[],[f5288,f5277,f4974,f59955]) ).
fof(f59955,plain,
( spl0_1397
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( c_in(c_Pair(c_Main_OdsumE__3(X0,c_Pair(c_Main_Orel__compE__2(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),c_Main_Orel__compE__3(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),c_Main_OdsumE__4(X0,c_Pair(c_Main_Orel__compE__2(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),c_Main_Orel__compE__3(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X0,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_in(c_Pair(c_Main_OdsumE__1(X1,c_Pair(c_Main_Orel__compE__2(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),c_Main_Orel__compE__3(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),c_Main_OdsumE__2(X1,c_Pair(c_Main_Orel__compE__2(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),c_Main_Orel__compE__3(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| ~ c_in(X5,c_Relation_Orel__comp(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),tc_prod(X6,tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1397])]) ).
fof(f5288,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( c_in(c_Pair(c_Main_OdsumE__3(X0,c_Pair(c_Main_Orel__compE__2(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),c_Main_Orel__compE__3(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),c_Main_OdsumE__4(X0,c_Pair(c_Main_Orel__compE__2(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),c_Main_Orel__compE__3(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X0,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_in(c_Pair(c_Main_OdsumE__1(X1,c_Pair(c_Main_Orel__compE__2(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),c_Main_Orel__compE__3(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),c_Main_OdsumE__2(X1,c_Pair(c_Main_Orel__compE__2(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),c_Main_Orel__compE__3(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| ~ c_in(X5,c_Relation_Orel__comp(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),tc_prod(X6,tc_set(tc_Datatype__Universe_Onode(X2,X3)))) )
| ~ spl0_605
| ~ spl0_623 ),
inference(resolution,[],[f5278,f4975]) ).
fof(f59657,plain,
( spl0_1396
| ~ spl0_615
| ~ spl0_620 ),
inference(avatar_split_clause,[],[f5237,f5232,f5135,f59655]) ).
fof(f59655,plain,
( spl0_1396
<=> ! [X2,X4,X0,X5,X3,X1] :
( c_Pair(c_Main_OdprodE__2(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),X4,X5),c_Main_OdprodE__4(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))) = c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X0,c_Pair(c_Main_OdprodE__2(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),X4,X5),c_Main_OdprodE__4(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),X4,X5),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X0,c_Pair(c_Main_OdprodE__2(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),X4,X5),c_Main_OdprodE__4(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))
| c_Pair(c_Main_OdprodE__2(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),X4,X5),c_Main_OdprodE__4(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))) = c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X3,c_Pair(c_Main_OdprodE__2(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),X4,X5),c_Main_OdprodE__4(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),X4,X5),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X3,c_Pair(c_Main_OdprodE__2(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),X4,X5),c_Main_OdprodE__4(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))
| ~ c_in(X1,c_Datatype__Universe_Odprod(X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1396])]) ).
fof(f5135,plain,
( spl0_615
<=> ! [X5,X4,X6,X2,X1] :
( ~ c_in(X4,c_Datatype__Universe_Odprod(X5,X6,X1,X2),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| c_in(c_Pair(c_Main_OdprodE__2(X4,X5,X6,X1,X2),c_Main_OdprodE__4(X4,X5,X6,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X6,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_615])]) ).
fof(f5237,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( c_Pair(c_Main_OdprodE__2(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),X4,X5),c_Main_OdprodE__4(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))) = c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X0,c_Pair(c_Main_OdprodE__2(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),X4,X5),c_Main_OdprodE__4(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),X4,X5),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X0,c_Pair(c_Main_OdprodE__2(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),X4,X5),c_Main_OdprodE__4(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))
| c_Pair(c_Main_OdprodE__2(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),X4,X5),c_Main_OdprodE__4(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))) = c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X3,c_Pair(c_Main_OdprodE__2(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),X4,X5),c_Main_OdprodE__4(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),X4,X5),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X3,c_Pair(c_Main_OdprodE__2(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),X4,X5),c_Main_OdprodE__4(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))
| ~ c_in(X1,c_Datatype__Universe_Odprod(X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))) )
| ~ spl0_615
| ~ spl0_620 ),
inference(resolution,[],[f5233,f5136]) ).
fof(f5136,plain,
( ! [X2,X1,X6,X4,X5] :
( c_in(c_Pair(c_Main_OdprodE__2(X4,X5,X6,X1,X2),c_Main_OdprodE__4(X4,X5,X6,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X6,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| ~ c_in(X4,c_Datatype__Universe_Odprod(X5,X6,X1,X2),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2)))) )
| ~ spl0_615 ),
inference(avatar_component_clause,[],[f5135]) ).
fof(f59653,plain,
( spl0_1395
| ~ spl0_616
| ~ spl0_620 ),
inference(avatar_split_clause,[],[f5236,f5232,f5139,f59651]) ).
fof(f59651,plain,
( spl0_1395
<=> ! [X2,X4,X0,X5,X3,X1] :
( c_Pair(c_Main_OdprodE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,X3,X4),c_Main_OdprodE__3(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X0,c_Pair(c_Main_OdprodE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,X3,X4),c_Main_OdprodE__3(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),X3,X4),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X0,c_Pair(c_Main_OdprodE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,X3,X4),c_Main_OdprodE__3(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_Pair(c_Main_OdprodE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,X3,X4),c_Main_OdprodE__3(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X2,c_Pair(c_Main_OdprodE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,X3,X4),c_Main_OdprodE__3(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),X3,X4),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X2,c_Pair(c_Main_OdprodE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,X3,X4),c_Main_OdprodE__3(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ c_in(X1,c_Datatype__Universe_Odprod(c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1395])]) ).
fof(f5139,plain,
( spl0_616
<=> ! [X5,X4,X6,X2,X1] :
( ~ c_in(X4,c_Datatype__Universe_Odprod(X5,X6,X1,X2),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| c_in(c_Pair(c_Main_OdprodE__1(X4,X5,X6,X1,X2),c_Main_OdprodE__3(X4,X5,X6,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_616])]) ).
fof(f5236,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( c_Pair(c_Main_OdprodE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,X3,X4),c_Main_OdprodE__3(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X0,c_Pair(c_Main_OdprodE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,X3,X4),c_Main_OdprodE__3(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),X3,X4),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X0,c_Pair(c_Main_OdprodE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,X3,X4),c_Main_OdprodE__3(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_Pair(c_Main_OdprodE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,X3,X4),c_Main_OdprodE__3(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X2,c_Pair(c_Main_OdprodE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,X3,X4),c_Main_OdprodE__3(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),X3,X4),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X2,c_Pair(c_Main_OdprodE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,X3,X4),c_Main_OdprodE__3(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ c_in(X1,c_Datatype__Universe_Odprod(c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) )
| ~ spl0_616
| ~ spl0_620 ),
inference(resolution,[],[f5233,f5140]) ).
fof(f5140,plain,
( ! [X2,X1,X6,X4,X5] :
( c_in(c_Pair(c_Main_OdprodE__1(X4,X5,X6,X1,X2),c_Main_OdprodE__3(X4,X5,X6,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| ~ c_in(X4,c_Datatype__Universe_Odprod(X5,X6,X1,X2),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2)))) )
| ~ spl0_616 ),
inference(avatar_component_clause,[],[f5139]) ).
fof(f59275,plain,
( spl0_1394
| ~ spl0_590
| ~ spl0_623 ),
inference(avatar_split_clause,[],[f5287,f5277,f4831,f59273]) ).
fof(f59273,plain,
( spl0_1394
<=> ! [X4,X0,X3,X2,X1] :
( c_in(c_Pair(c_Main_OdsumE__3(X0,c_Pair(c_Main_OconverseE__1(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Main_OconverseE__2(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),c_Main_OdsumE__4(X0,c_Pair(c_Main_OconverseE__1(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Main_OconverseE__2(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X0,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_in(c_Pair(c_Main_OdsumE__1(X1,c_Pair(c_Main_OconverseE__1(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Main_OconverseE__2(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),c_Main_OdsumE__2(X1,c_Pair(c_Main_OconverseE__1(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Main_OconverseE__2(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| ~ c_in(X4,c_Relation_Oconverse(c_Datatype__Universe_Odsum(X1,X0,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1394])]) ).
fof(f5287,plain,
( ! [X2,X3,X0,X1,X4] :
( c_in(c_Pair(c_Main_OdsumE__3(X0,c_Pair(c_Main_OconverseE__1(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Main_OconverseE__2(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),c_Main_OdsumE__4(X0,c_Pair(c_Main_OconverseE__1(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Main_OconverseE__2(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X0,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_in(c_Pair(c_Main_OdsumE__1(X1,c_Pair(c_Main_OconverseE__1(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Main_OconverseE__2(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),c_Main_OdsumE__2(X1,c_Pair(c_Main_OconverseE__1(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Main_OconverseE__2(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| ~ c_in(X4,c_Relation_Oconverse(c_Datatype__Universe_Odsum(X1,X0,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) )
| ~ spl0_590
| ~ spl0_623 ),
inference(resolution,[],[f5278,f4832]) ).
fof(f59164,plain,
( spl0_1393
| ~ spl0_581
| ~ spl0_620 ),
inference(avatar_split_clause,[],[f5240,f5232,f4702,f59162]) ).
fof(f59162,plain,
( spl0_1393
<=> ! [X3,X4,X0,X5,X2,X1] :
( c_Pair(c_Main_OImageE__1(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))) = c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X0,c_Pair(c_Main_OImageE__1(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),X4,X5),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X0,c_Pair(c_Main_OImageE__1(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))
| c_Pair(c_Main_OImageE__1(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))) = c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X3,c_Pair(c_Main_OImageE__1(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),X4,X5),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X3,c_Pair(c_Main_OImageE__1(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))
| ~ c_in(X2,c_Relation_OImage(c_Datatype__Universe_Odsum(X3,X0,X4,X5),X1,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),tc_set(tc_Datatype__Universe_Onode(X4,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1393])]) ).
fof(f4702,plain,
( spl0_581
<=> ! [X12,X5,X27,X2,X1] :
( ~ c_in(X27,c_Relation_OImage(X5,X12,X2,X1),X1)
| c_in(c_Pair(c_Main_OImageE__1(X12,X27,X5,X2,X1),X27,X2,X1),X5,tc_prod(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_581])]) ).
fof(f5240,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( c_Pair(c_Main_OImageE__1(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))) = c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X0,c_Pair(c_Main_OImageE__1(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),X4,X5),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X0,c_Pair(c_Main_OImageE__1(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))
| c_Pair(c_Main_OImageE__1(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))) = c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X3,c_Pair(c_Main_OImageE__1(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),X4,X5),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X3,c_Pair(c_Main_OImageE__1(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))
| ~ c_in(X2,c_Relation_OImage(c_Datatype__Universe_Odsum(X3,X0,X4,X5),X1,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),tc_set(tc_Datatype__Universe_Onode(X4,X5))) )
| ~ spl0_581
| ~ spl0_620 ),
inference(resolution,[],[f5233,f4703]) ).
fof(f4703,plain,
( ! [X2,X1,X27,X5,X12] :
( c_in(c_Pair(c_Main_OImageE__1(X12,X27,X5,X2,X1),X27,X2,X1),X5,tc_prod(X2,X1))
| ~ c_in(X27,c_Relation_OImage(X5,X12,X2,X1),X1) )
| ~ spl0_581 ),
inference(avatar_component_clause,[],[f4702]) ).
fof(f58936,plain,
( spl0_1392
| ~ spl0_570
| ~ spl0_620 ),
inference(avatar_split_clause,[],[f5241,f5232,f4557,f58934]) ).
fof(f58934,plain,
( spl0_1392
<=> ! [X2,X4,X0,X3,X1] :
( c_Pair(c_Main_ORangeE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X0,c_Pair(c_Main_ORangeE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),X3,X4),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X0,c_Pair(c_Main_ORangeE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_Pair(c_Main_ORangeE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X2,c_Pair(c_Main_ORangeE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),X3,X4),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X2,c_Pair(c_Main_ORangeE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ c_in(X1,c_Relation_ORange(c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1392])]) ).
fof(f4557,plain,
( spl0_570
<=> ! [X5,X27,X2,X1] :
( ~ c_in(X27,c_Relation_ORange(X5,X2,X1),X1)
| c_in(c_Pair(c_Main_ORangeE__1(X27,X5,X1,X2),X27,X2,X1),X5,tc_prod(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_570])]) ).
fof(f5241,plain,
( ! [X2,X3,X0,X1,X4] :
( c_Pair(c_Main_ORangeE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X0,c_Pair(c_Main_ORangeE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),X3,X4),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X0,c_Pair(c_Main_ORangeE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_Pair(c_Main_ORangeE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X2,c_Pair(c_Main_ORangeE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),X3,X4),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X2,c_Pair(c_Main_ORangeE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ c_in(X1,c_Relation_ORange(c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4))) )
| ~ spl0_570
| ~ spl0_620 ),
inference(resolution,[],[f5233,f4558]) ).
fof(f4558,plain,
( ! [X2,X1,X27,X5] :
( c_in(c_Pair(c_Main_ORangeE__1(X27,X5,X1,X2),X27,X2,X1),X5,tc_prod(X2,X1))
| ~ c_in(X27,c_Relation_ORange(X5,X2,X1),X1) )
| ~ spl0_570 ),
inference(avatar_component_clause,[],[f4557]) ).
fof(f58932,plain,
( spl0_1391
| ~ spl0_569
| ~ spl0_620 ),
inference(avatar_split_clause,[],[f5235,f5232,f4553,f58930]) ).
fof(f58930,plain,
( spl0_1391
<=> ! [X4,X0,X3,X2,X1] :
( c_Pair(X1,c_Main_ODomainE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X0,c_Pair(X1,c_Main_ODomainE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),X3,X4),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X0,c_Pair(X1,c_Main_ODomainE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_Pair(X1,c_Main_ODomainE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X2,c_Pair(X1,c_Main_ODomainE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),X3,X4),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X2,c_Pair(X1,c_Main_ODomainE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ c_in(X1,c_Relation_ODomain(c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1391])]) ).
fof(f4553,plain,
( spl0_569
<=> ! [X18,X5,X2,X1] :
( ~ c_in(X18,c_Relation_ODomain(X5,X1,X2),X1)
| c_in(c_Pair(X18,c_Main_ODomainE__1(X18,X5,X1,X2),X1,X2),X5,tc_prod(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_569])]) ).
fof(f5235,plain,
( ! [X2,X3,X0,X1,X4] :
( c_Pair(X1,c_Main_ODomainE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X0,c_Pair(X1,c_Main_ODomainE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),X3,X4),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X0,c_Pair(X1,c_Main_ODomainE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_Pair(X1,c_Main_ODomainE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X2,c_Pair(X1,c_Main_ODomainE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),X3,X4),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X2,c_Pair(X1,c_Main_ODomainE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ c_in(X1,c_Relation_ODomain(c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4))) )
| ~ spl0_569
| ~ spl0_620 ),
inference(resolution,[],[f5233,f4554]) ).
fof(f4554,plain,
( ! [X2,X18,X1,X5] :
( c_in(c_Pair(X18,c_Main_ODomainE__1(X18,X5,X1,X2),X1,X2),X5,tc_prod(X1,X2))
| ~ c_in(X18,c_Relation_ODomain(X5,X1,X2),X1) )
| ~ spl0_569 ),
inference(avatar_component_clause,[],[f4553]) ).
fof(f58180,plain,
( spl0_1390
| ~ spl0_615
| ~ spl0_622 ),
inference(avatar_split_clause,[],[f5267,f5251,f5135,f58178]) ).
fof(f58178,plain,
( spl0_1390
<=> ! [X2,X4,X0,X5,X3,X1] :
( c_Pair(c_Main_OdprodE__2(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),X4,X5),c_Main_OdprodE__4(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))) = c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X0,c_Pair(c_Main_OdprodE__2(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),X4,X5),c_Main_OdprodE__4(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),X4,X5),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X0,c_Pair(c_Main_OdprodE__2(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),X4,X5),c_Main_OdprodE__4(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))
| c_in(c_Pair(c_Main_OdsumE__1(X3,c_Pair(c_Main_OdprodE__2(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),X4,X5),c_Main_OdprodE__4(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),c_Main_OdsumE__2(X3,c_Pair(c_Main_OdprodE__2(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),X4,X5),c_Main_OdprodE__4(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
| ~ c_in(X1,c_Datatype__Universe_Odprod(X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1390])]) ).
fof(f5267,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( c_Pair(c_Main_OdprodE__2(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),X4,X5),c_Main_OdprodE__4(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))) = c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X0,c_Pair(c_Main_OdprodE__2(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),X4,X5),c_Main_OdprodE__4(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),X4,X5),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X0,c_Pair(c_Main_OdprodE__2(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),X4,X5),c_Main_OdprodE__4(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))
| c_in(c_Pair(c_Main_OdsumE__1(X3,c_Pair(c_Main_OdprodE__2(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),X4,X5),c_Main_OdprodE__4(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),c_Main_OdsumE__2(X3,c_Pair(c_Main_OdprodE__2(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),X4,X5),c_Main_OdprodE__4(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
| ~ c_in(X1,c_Datatype__Universe_Odprod(X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))) )
| ~ spl0_615
| ~ spl0_622 ),
inference(resolution,[],[f5252,f5136]) ).
fof(f58176,plain,
( spl0_1389
| ~ spl0_616
| ~ spl0_622 ),
inference(avatar_split_clause,[],[f5266,f5251,f5139,f58174]) ).
fof(f58174,plain,
( spl0_1389
<=> ! [X2,X4,X0,X5,X3,X1] :
( c_Pair(c_Main_OdprodE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,X3,X4),c_Main_OdprodE__3(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X0,c_Pair(c_Main_OdprodE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,X3,X4),c_Main_OdprodE__3(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),X3,X4),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X0,c_Pair(c_Main_OdprodE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,X3,X4),c_Main_OdprodE__3(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_in(c_Pair(c_Main_OdsumE__1(X2,c_Pair(c_Main_OdprodE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,X3,X4),c_Main_OdprodE__3(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),c_Main_OdsumE__2(X2,c_Pair(c_Main_OdprodE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,X3,X4),c_Main_OdprodE__3(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| ~ c_in(X1,c_Datatype__Universe_Odprod(c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1389])]) ).
fof(f5266,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( c_Pair(c_Main_OdprodE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,X3,X4),c_Main_OdprodE__3(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X0,c_Pair(c_Main_OdprodE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,X3,X4),c_Main_OdprodE__3(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),X3,X4),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X0,c_Pair(c_Main_OdprodE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,X3,X4),c_Main_OdprodE__3(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_in(c_Pair(c_Main_OdsumE__1(X2,c_Pair(c_Main_OdprodE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,X3,X4),c_Main_OdprodE__3(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),c_Main_OdsumE__2(X2,c_Pair(c_Main_OdprodE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,X3,X4),c_Main_OdprodE__3(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| ~ c_in(X1,c_Datatype__Universe_Odprod(c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) )
| ~ spl0_616
| ~ spl0_622 ),
inference(resolution,[],[f5252,f5140]) ).
fof(f58172,plain,
( spl0_1388
| ~ spl0_615
| ~ spl0_621 ),
inference(avatar_split_clause,[],[f5256,f5247,f5135,f58170]) ).
fof(f58170,plain,
( spl0_1388
<=> ! [X2,X4,X0,X5,X3,X1] :
( c_Pair(c_Main_OdprodE__2(X1,X2,c_Datatype__Universe_Odsum(X0,X3,X4,X5),X4,X5),c_Main_OdprodE__4(X1,X2,c_Datatype__Universe_Odsum(X0,X3,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))) = c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X0,c_Pair(c_Main_OdprodE__2(X1,X2,c_Datatype__Universe_Odsum(X0,X3,X4,X5),X4,X5),c_Main_OdprodE__4(X1,X2,c_Datatype__Universe_Odsum(X0,X3,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),X4,X5),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X0,c_Pair(c_Main_OdprodE__2(X1,X2,c_Datatype__Universe_Odsum(X0,X3,X4,X5),X4,X5),c_Main_OdprodE__4(X1,X2,c_Datatype__Universe_Odsum(X0,X3,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))
| c_in(c_Pair(c_Main_OdsumE__3(X3,c_Pair(c_Main_OdprodE__2(X1,X2,c_Datatype__Universe_Odsum(X0,X3,X4,X5),X4,X5),c_Main_OdprodE__4(X1,X2,c_Datatype__Universe_Odsum(X0,X3,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),c_Main_OdsumE__4(X3,c_Pair(c_Main_OdprodE__2(X1,X2,c_Datatype__Universe_Odsum(X0,X3,X4,X5),X4,X5),c_Main_OdprodE__4(X1,X2,c_Datatype__Universe_Odsum(X0,X3,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
| ~ c_in(X1,c_Datatype__Universe_Odprod(X2,c_Datatype__Universe_Odsum(X0,X3,X4,X5),X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1388])]) ).
fof(f5256,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( c_Pair(c_Main_OdprodE__2(X1,X2,c_Datatype__Universe_Odsum(X0,X3,X4,X5),X4,X5),c_Main_OdprodE__4(X1,X2,c_Datatype__Universe_Odsum(X0,X3,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))) = c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X0,c_Pair(c_Main_OdprodE__2(X1,X2,c_Datatype__Universe_Odsum(X0,X3,X4,X5),X4,X5),c_Main_OdprodE__4(X1,X2,c_Datatype__Universe_Odsum(X0,X3,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),X4,X5),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X0,c_Pair(c_Main_OdprodE__2(X1,X2,c_Datatype__Universe_Odsum(X0,X3,X4,X5),X4,X5),c_Main_OdprodE__4(X1,X2,c_Datatype__Universe_Odsum(X0,X3,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))
| c_in(c_Pair(c_Main_OdsumE__3(X3,c_Pair(c_Main_OdprodE__2(X1,X2,c_Datatype__Universe_Odsum(X0,X3,X4,X5),X4,X5),c_Main_OdprodE__4(X1,X2,c_Datatype__Universe_Odsum(X0,X3,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),c_Main_OdsumE__4(X3,c_Pair(c_Main_OdprodE__2(X1,X2,c_Datatype__Universe_Odsum(X0,X3,X4,X5),X4,X5),c_Main_OdprodE__4(X1,X2,c_Datatype__Universe_Odsum(X0,X3,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
| ~ c_in(X1,c_Datatype__Universe_Odprod(X2,c_Datatype__Universe_Odsum(X0,X3,X4,X5),X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))) )
| ~ spl0_615
| ~ spl0_621 ),
inference(resolution,[],[f5248,f5136]) ).
fof(f58157,plain,
( spl0_1387
| ~ spl0_616
| ~ spl0_621 ),
inference(avatar_split_clause,[],[f5255,f5247,f5139,f58155]) ).
fof(f58155,plain,
( spl0_1387
<=> ! [X3,X4,X0,X5,X2,X1] :
( c_Pair(c_Main_OdprodE__1(X1,c_Datatype__Universe_Odsum(X0,X2,X3,X4),X5,X3,X4),c_Main_OdprodE__3(X1,c_Datatype__Universe_Odsum(X0,X2,X3,X4),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X0,c_Pair(c_Main_OdprodE__1(X1,c_Datatype__Universe_Odsum(X0,X2,X3,X4),X5,X3,X4),c_Main_OdprodE__3(X1,c_Datatype__Universe_Odsum(X0,X2,X3,X4),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),X3,X4),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X0,c_Pair(c_Main_OdprodE__1(X1,c_Datatype__Universe_Odsum(X0,X2,X3,X4),X5,X3,X4),c_Main_OdprodE__3(X1,c_Datatype__Universe_Odsum(X0,X2,X3,X4),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_in(c_Pair(c_Main_OdsumE__3(X2,c_Pair(c_Main_OdprodE__1(X1,c_Datatype__Universe_Odsum(X0,X2,X3,X4),X5,X3,X4),c_Main_OdprodE__3(X1,c_Datatype__Universe_Odsum(X0,X2,X3,X4),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),c_Main_OdsumE__4(X2,c_Pair(c_Main_OdprodE__1(X1,c_Datatype__Universe_Odsum(X0,X2,X3,X4),X5,X3,X4),c_Main_OdprodE__3(X1,c_Datatype__Universe_Odsum(X0,X2,X3,X4),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| ~ c_in(X1,c_Datatype__Universe_Odprod(c_Datatype__Universe_Odsum(X0,X2,X3,X4),X5,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1387])]) ).
fof(f5255,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( c_Pair(c_Main_OdprodE__1(X1,c_Datatype__Universe_Odsum(X0,X2,X3,X4),X5,X3,X4),c_Main_OdprodE__3(X1,c_Datatype__Universe_Odsum(X0,X2,X3,X4),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X0,c_Pair(c_Main_OdprodE__1(X1,c_Datatype__Universe_Odsum(X0,X2,X3,X4),X5,X3,X4),c_Main_OdprodE__3(X1,c_Datatype__Universe_Odsum(X0,X2,X3,X4),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),X3,X4),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X0,c_Pair(c_Main_OdprodE__1(X1,c_Datatype__Universe_Odsum(X0,X2,X3,X4),X5,X3,X4),c_Main_OdprodE__3(X1,c_Datatype__Universe_Odsum(X0,X2,X3,X4),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_in(c_Pair(c_Main_OdsumE__3(X2,c_Pair(c_Main_OdprodE__1(X1,c_Datatype__Universe_Odsum(X0,X2,X3,X4),X5,X3,X4),c_Main_OdprodE__3(X1,c_Datatype__Universe_Odsum(X0,X2,X3,X4),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),c_Main_OdsumE__4(X2,c_Pair(c_Main_OdprodE__1(X1,c_Datatype__Universe_Odsum(X0,X2,X3,X4),X5,X3,X4),c_Main_OdprodE__3(X1,c_Datatype__Universe_Odsum(X0,X2,X3,X4),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| ~ c_in(X1,c_Datatype__Universe_Odprod(c_Datatype__Universe_Odsum(X0,X2,X3,X4),X5,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) )
| ~ spl0_616
| ~ spl0_621 ),
inference(resolution,[],[f5248,f5140]) ).
fof(f57779,plain,
( spl0_1386
| ~ spl0_581
| ~ spl0_622 ),
inference(avatar_split_clause,[],[f5270,f5251,f4702,f57777]) ).
fof(f57777,plain,
( spl0_1386
<=> ! [X3,X4,X0,X5,X2,X1] :
( c_Pair(c_Main_OImageE__1(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))) = c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X0,c_Pair(c_Main_OImageE__1(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),X4,X5),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X0,c_Pair(c_Main_OImageE__1(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))
| c_in(c_Pair(c_Main_OdsumE__1(X3,c_Pair(c_Main_OImageE__1(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),c_Main_OdsumE__2(X3,c_Pair(c_Main_OImageE__1(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
| ~ c_in(X2,c_Relation_OImage(c_Datatype__Universe_Odsum(X3,X0,X4,X5),X1,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),tc_set(tc_Datatype__Universe_Onode(X4,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1386])]) ).
fof(f5270,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( c_Pair(c_Main_OImageE__1(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))) = c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X0,c_Pair(c_Main_OImageE__1(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),X4,X5),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X0,c_Pair(c_Main_OImageE__1(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))
| c_in(c_Pair(c_Main_OdsumE__1(X3,c_Pair(c_Main_OImageE__1(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),c_Main_OdsumE__2(X3,c_Pair(c_Main_OImageE__1(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
| ~ c_in(X2,c_Relation_OImage(c_Datatype__Universe_Odsum(X3,X0,X4,X5),X1,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),tc_set(tc_Datatype__Universe_Onode(X4,X5))) )
| ~ spl0_581
| ~ spl0_622 ),
inference(resolution,[],[f5252,f4703]) ).
fof(f57775,plain,
( spl0_1385
| ~ spl0_581
| ~ spl0_621 ),
inference(avatar_split_clause,[],[f5259,f5247,f4702,f57773]) ).
fof(f57773,plain,
( spl0_1385
<=> ! [X3,X4,X0,X5,X2,X1] :
( c_Pair(c_Main_OImageE__1(X1,X2,c_Datatype__Universe_Odsum(X0,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))) = c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X0,c_Pair(c_Main_OImageE__1(X1,X2,c_Datatype__Universe_Odsum(X0,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),X4,X5),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X0,c_Pair(c_Main_OImageE__1(X1,X2,c_Datatype__Universe_Odsum(X0,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))
| c_in(c_Pair(c_Main_OdsumE__3(X3,c_Pair(c_Main_OImageE__1(X1,X2,c_Datatype__Universe_Odsum(X0,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),c_Main_OdsumE__4(X3,c_Pair(c_Main_OImageE__1(X1,X2,c_Datatype__Universe_Odsum(X0,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
| ~ c_in(X2,c_Relation_OImage(c_Datatype__Universe_Odsum(X0,X3,X4,X5),X1,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),tc_set(tc_Datatype__Universe_Onode(X4,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1385])]) ).
fof(f5259,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( c_Pair(c_Main_OImageE__1(X1,X2,c_Datatype__Universe_Odsum(X0,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))) = c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X0,c_Pair(c_Main_OImageE__1(X1,X2,c_Datatype__Universe_Odsum(X0,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),X4,X5),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X0,c_Pair(c_Main_OImageE__1(X1,X2,c_Datatype__Universe_Odsum(X0,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))
| c_in(c_Pair(c_Main_OdsumE__3(X3,c_Pair(c_Main_OImageE__1(X1,X2,c_Datatype__Universe_Odsum(X0,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),c_Main_OdsumE__4(X3,c_Pair(c_Main_OImageE__1(X1,X2,c_Datatype__Universe_Odsum(X0,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
| ~ c_in(X2,c_Relation_OImage(c_Datatype__Universe_Odsum(X0,X3,X4,X5),X1,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),tc_set(tc_Datatype__Universe_Onode(X4,X5))) )
| ~ spl0_581
| ~ spl0_621 ),
inference(resolution,[],[f5248,f4703]) ).
fof(f57491,plain,
( spl0_1384
| ~ spl0_615
| ~ spl0_619 ),
inference(avatar_split_clause,[],[f5224,f5219,f5135,f57489]) ).
fof(f57489,plain,
( spl0_1384
<=> ! [X3,X4,X0,X5,X2,X1] :
( c_Pair(c_Main_OdprodE__2(X0,X1,c_Datatype__Universe_Odprod(X2,X3,X4,X5),X4,X5),c_Main_OdprodE__4(X0,X1,c_Datatype__Universe_Odprod(X2,X3,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))) = c_Pair(c_Datatype__Universe_OScons(c_Main_OdprodE__1(c_Pair(c_Main_OdprodE__2(X0,X1,c_Datatype__Universe_Odprod(X2,X3,X4,X5),X4,X5),c_Main_OdprodE__4(X0,X1,c_Datatype__Universe_Odprod(X2,X3,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,X3,X4,X5),c_Main_OdprodE__2(c_Pair(c_Main_OdprodE__2(X0,X1,c_Datatype__Universe_Odprod(X2,X3,X4,X5),X4,X5),c_Main_OdprodE__4(X0,X1,c_Datatype__Universe_Odprod(X2,X3,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,X3,X4,X5),X4,X5),c_Datatype__Universe_OScons(c_Main_OdprodE__3(c_Pair(c_Main_OdprodE__2(X0,X1,c_Datatype__Universe_Odprod(X2,X3,X4,X5),X4,X5),c_Main_OdprodE__4(X0,X1,c_Datatype__Universe_Odprod(X2,X3,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,X3,X4,X5),c_Main_OdprodE__4(c_Pair(c_Main_OdprodE__2(X0,X1,c_Datatype__Universe_Odprod(X2,X3,X4,X5),X4,X5),c_Main_OdprodE__4(X0,X1,c_Datatype__Universe_Odprod(X2,X3,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,X3,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))
| ~ c_in(X0,c_Datatype__Universe_Odprod(X1,c_Datatype__Universe_Odprod(X2,X3,X4,X5),X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1384])]) ).
fof(f5224,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( c_Pair(c_Main_OdprodE__2(X0,X1,c_Datatype__Universe_Odprod(X2,X3,X4,X5),X4,X5),c_Main_OdprodE__4(X0,X1,c_Datatype__Universe_Odprod(X2,X3,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))) = c_Pair(c_Datatype__Universe_OScons(c_Main_OdprodE__1(c_Pair(c_Main_OdprodE__2(X0,X1,c_Datatype__Universe_Odprod(X2,X3,X4,X5),X4,X5),c_Main_OdprodE__4(X0,X1,c_Datatype__Universe_Odprod(X2,X3,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,X3,X4,X5),c_Main_OdprodE__2(c_Pair(c_Main_OdprodE__2(X0,X1,c_Datatype__Universe_Odprod(X2,X3,X4,X5),X4,X5),c_Main_OdprodE__4(X0,X1,c_Datatype__Universe_Odprod(X2,X3,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,X3,X4,X5),X4,X5),c_Datatype__Universe_OScons(c_Main_OdprodE__3(c_Pair(c_Main_OdprodE__2(X0,X1,c_Datatype__Universe_Odprod(X2,X3,X4,X5),X4,X5),c_Main_OdprodE__4(X0,X1,c_Datatype__Universe_Odprod(X2,X3,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,X3,X4,X5),c_Main_OdprodE__4(c_Pair(c_Main_OdprodE__2(X0,X1,c_Datatype__Universe_Odprod(X2,X3,X4,X5),X4,X5),c_Main_OdprodE__4(X0,X1,c_Datatype__Universe_Odprod(X2,X3,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,X3,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))
| ~ c_in(X0,c_Datatype__Universe_Odprod(X1,c_Datatype__Universe_Odprod(X2,X3,X4,X5),X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))) )
| ~ spl0_615
| ~ spl0_619 ),
inference(resolution,[],[f5220,f5136]) ).
fof(f57487,plain,
( spl0_1383
| ~ spl0_616
| ~ spl0_619 ),
inference(avatar_split_clause,[],[f5223,f5219,f5139,f57485]) ).
fof(f57485,plain,
( spl0_1383
<=> ! [X5,X4,X0,X3,X2,X1] :
( c_Pair(c_Main_OdprodE__1(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),X5,X3,X4),c_Main_OdprodE__3(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = c_Pair(c_Datatype__Universe_OScons(c_Main_OdprodE__1(c_Pair(c_Main_OdprodE__1(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),X5,X3,X4),c_Main_OdprodE__3(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,X2,X3,X4),c_Main_OdprodE__2(c_Pair(c_Main_OdprodE__1(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),X5,X3,X4),c_Main_OdprodE__3(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,X2,X3,X4),X3,X4),c_Datatype__Universe_OScons(c_Main_OdprodE__3(c_Pair(c_Main_OdprodE__1(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),X5,X3,X4),c_Main_OdprodE__3(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,X2,X3,X4),c_Main_OdprodE__4(c_Pair(c_Main_OdprodE__1(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),X5,X3,X4),c_Main_OdprodE__3(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,X2,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ c_in(X0,c_Datatype__Universe_Odprod(c_Datatype__Universe_Odprod(X1,X2,X3,X4),X5,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1383])]) ).
fof(f5223,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( c_Pair(c_Main_OdprodE__1(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),X5,X3,X4),c_Main_OdprodE__3(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = c_Pair(c_Datatype__Universe_OScons(c_Main_OdprodE__1(c_Pair(c_Main_OdprodE__1(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),X5,X3,X4),c_Main_OdprodE__3(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,X2,X3,X4),c_Main_OdprodE__2(c_Pair(c_Main_OdprodE__1(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),X5,X3,X4),c_Main_OdprodE__3(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,X2,X3,X4),X3,X4),c_Datatype__Universe_OScons(c_Main_OdprodE__3(c_Pair(c_Main_OdprodE__1(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),X5,X3,X4),c_Main_OdprodE__3(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,X2,X3,X4),c_Main_OdprodE__4(c_Pair(c_Main_OdprodE__1(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),X5,X3,X4),c_Main_OdprodE__3(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,X2,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ c_in(X0,c_Datatype__Universe_Odprod(c_Datatype__Universe_Odprod(X1,X2,X3,X4),X5,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) )
| ~ spl0_616
| ~ spl0_619 ),
inference(resolution,[],[f5220,f5140]) ).
fof(f56731,plain,
( spl0_1382
| ~ spl0_570
| ~ spl0_622 ),
inference(avatar_split_clause,[],[f5271,f5251,f4557,f56729]) ).
fof(f56729,plain,
( spl0_1382
<=> ! [X2,X4,X0,X3,X1] :
( c_Pair(c_Main_ORangeE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X0,c_Pair(c_Main_ORangeE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),X3,X4),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X0,c_Pair(c_Main_ORangeE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_in(c_Pair(c_Main_OdsumE__1(X2,c_Pair(c_Main_ORangeE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),c_Main_OdsumE__2(X2,c_Pair(c_Main_ORangeE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| ~ c_in(X1,c_Relation_ORange(c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1382])]) ).
fof(f5271,plain,
( ! [X2,X3,X0,X1,X4] :
( c_Pair(c_Main_ORangeE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X0,c_Pair(c_Main_ORangeE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),X3,X4),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X0,c_Pair(c_Main_ORangeE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_in(c_Pair(c_Main_OdsumE__1(X2,c_Pair(c_Main_ORangeE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),c_Main_OdsumE__2(X2,c_Pair(c_Main_ORangeE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| ~ c_in(X1,c_Relation_ORange(c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4))) )
| ~ spl0_570
| ~ spl0_622 ),
inference(resolution,[],[f5252,f4558]) ).
fof(f56727,plain,
( spl0_1381
| ~ spl0_569
| ~ spl0_622 ),
inference(avatar_split_clause,[],[f5265,f5251,f4553,f56725]) ).
fof(f56725,plain,
( spl0_1381
<=> ! [X4,X0,X3,X2,X1] :
( c_Pair(X1,c_Main_ODomainE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X0,c_Pair(X1,c_Main_ODomainE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),X3,X4),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X0,c_Pair(X1,c_Main_ODomainE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_in(c_Pair(c_Main_OdsumE__1(X2,c_Pair(X1,c_Main_ODomainE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),c_Main_OdsumE__2(X2,c_Pair(X1,c_Main_ODomainE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| ~ c_in(X1,c_Relation_ODomain(c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1381])]) ).
fof(f5265,plain,
( ! [X2,X3,X0,X1,X4] :
( c_Pair(X1,c_Main_ODomainE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X0,c_Pair(X1,c_Main_ODomainE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),X3,X4),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X0,c_Pair(X1,c_Main_ODomainE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_in(c_Pair(c_Main_OdsumE__1(X2,c_Pair(X1,c_Main_ODomainE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),c_Main_OdsumE__2(X2,c_Pair(X1,c_Main_ODomainE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| ~ c_in(X1,c_Relation_ODomain(c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4))) )
| ~ spl0_569
| ~ spl0_622 ),
inference(resolution,[],[f5252,f4554]) ).
fof(f56723,plain,
( spl0_1380
| ~ spl0_570
| ~ spl0_621 ),
inference(avatar_split_clause,[],[f5260,f5247,f4557,f56721]) ).
fof(f56721,plain,
( spl0_1380
<=> ! [X4,X0,X3,X2,X1] :
( c_Pair(c_Main_ORangeE__1(X1,c_Datatype__Universe_Odsum(X0,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X0,c_Pair(c_Main_ORangeE__1(X1,c_Datatype__Universe_Odsum(X0,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),X3,X4),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X0,c_Pair(c_Main_ORangeE__1(X1,c_Datatype__Universe_Odsum(X0,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_in(c_Pair(c_Main_OdsumE__3(X2,c_Pair(c_Main_ORangeE__1(X1,c_Datatype__Universe_Odsum(X0,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),c_Main_OdsumE__4(X2,c_Pair(c_Main_ORangeE__1(X1,c_Datatype__Universe_Odsum(X0,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| ~ c_in(X1,c_Relation_ORange(c_Datatype__Universe_Odsum(X0,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1380])]) ).
fof(f5260,plain,
( ! [X2,X3,X0,X1,X4] :
( c_Pair(c_Main_ORangeE__1(X1,c_Datatype__Universe_Odsum(X0,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X0,c_Pair(c_Main_ORangeE__1(X1,c_Datatype__Universe_Odsum(X0,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),X3,X4),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X0,c_Pair(c_Main_ORangeE__1(X1,c_Datatype__Universe_Odsum(X0,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_in(c_Pair(c_Main_OdsumE__3(X2,c_Pair(c_Main_ORangeE__1(X1,c_Datatype__Universe_Odsum(X0,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),c_Main_OdsumE__4(X2,c_Pair(c_Main_ORangeE__1(X1,c_Datatype__Universe_Odsum(X0,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| ~ c_in(X1,c_Relation_ORange(c_Datatype__Universe_Odsum(X0,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4))) )
| ~ spl0_570
| ~ spl0_621 ),
inference(resolution,[],[f5248,f4558]) ).
fof(f56719,plain,
( spl0_1379
| ~ spl0_569
| ~ spl0_621 ),
inference(avatar_split_clause,[],[f5254,f5247,f4553,f56717]) ).
fof(f56717,plain,
( spl0_1379
<=> ! [X4,X0,X3,X2,X1] :
( c_Pair(X1,c_Main_ODomainE__1(X1,c_Datatype__Universe_Odsum(X0,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X0,c_Pair(X1,c_Main_ODomainE__1(X1,c_Datatype__Universe_Odsum(X0,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),X3,X4),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X0,c_Pair(X1,c_Main_ODomainE__1(X1,c_Datatype__Universe_Odsum(X0,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_in(c_Pair(c_Main_OdsumE__3(X2,c_Pair(X1,c_Main_ODomainE__1(X1,c_Datatype__Universe_Odsum(X0,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),c_Main_OdsumE__4(X2,c_Pair(X1,c_Main_ODomainE__1(X1,c_Datatype__Universe_Odsum(X0,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| ~ c_in(X1,c_Relation_ODomain(c_Datatype__Universe_Odsum(X0,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1379])]) ).
fof(f5254,plain,
( ! [X2,X3,X0,X1,X4] :
( c_Pair(X1,c_Main_ODomainE__1(X1,c_Datatype__Universe_Odsum(X0,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X0,c_Pair(X1,c_Main_ODomainE__1(X1,c_Datatype__Universe_Odsum(X0,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),X3,X4),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X0,c_Pair(X1,c_Main_ODomainE__1(X1,c_Datatype__Universe_Odsum(X0,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_in(c_Pair(c_Main_OdsumE__3(X2,c_Pair(X1,c_Main_ODomainE__1(X1,c_Datatype__Universe_Odsum(X0,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),c_Main_OdsumE__4(X2,c_Pair(X1,c_Main_ODomainE__1(X1,c_Datatype__Universe_Odsum(X0,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| ~ c_in(X1,c_Relation_ODomain(c_Datatype__Universe_Odsum(X0,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4))) )
| ~ spl0_569
| ~ spl0_621 ),
inference(resolution,[],[f5248,f4554]) ).
fof(f55975,plain,
( spl0_1378
| ~ spl0_615
| ~ spl0_623 ),
inference(avatar_split_clause,[],[f5282,f5277,f5135,f55973]) ).
fof(f55973,plain,
( spl0_1378
<=> ! [X2,X4,X0,X5,X3,X1] :
( c_in(c_Pair(c_Main_OdsumE__3(X0,c_Pair(c_Main_OdprodE__2(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),X4,X5),c_Main_OdprodE__4(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),c_Main_OdsumE__4(X0,c_Pair(c_Main_OdprodE__2(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),X4,X5),c_Main_OdprodE__4(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X0,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
| c_in(c_Pair(c_Main_OdsumE__1(X3,c_Pair(c_Main_OdprodE__2(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),X4,X5),c_Main_OdprodE__4(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),c_Main_OdsumE__2(X3,c_Pair(c_Main_OdprodE__2(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),X4,X5),c_Main_OdprodE__4(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
| ~ c_in(X1,c_Datatype__Universe_Odprod(X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1378])]) ).
fof(f5282,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( c_in(c_Pair(c_Main_OdsumE__3(X0,c_Pair(c_Main_OdprodE__2(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),X4,X5),c_Main_OdprodE__4(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),c_Main_OdsumE__4(X0,c_Pair(c_Main_OdprodE__2(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),X4,X5),c_Main_OdprodE__4(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X0,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
| c_in(c_Pair(c_Main_OdsumE__1(X3,c_Pair(c_Main_OdprodE__2(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),X4,X5),c_Main_OdprodE__4(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),c_Main_OdsumE__2(X3,c_Pair(c_Main_OdprodE__2(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),X4,X5),c_Main_OdprodE__4(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
| ~ c_in(X1,c_Datatype__Universe_Odprod(X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))) )
| ~ spl0_615
| ~ spl0_623 ),
inference(resolution,[],[f5278,f5136]) ).
fof(f55960,plain,
( spl0_1377
| ~ spl0_616
| ~ spl0_623 ),
inference(avatar_split_clause,[],[f5281,f5277,f5139,f55958]) ).
fof(f55958,plain,
( spl0_1377
<=> ! [X2,X4,X0,X5,X3,X1] :
( c_in(c_Pair(c_Main_OdsumE__3(X0,c_Pair(c_Main_OdprodE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,X3,X4),c_Main_OdprodE__3(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),c_Main_OdsumE__4(X0,c_Pair(c_Main_OdprodE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,X3,X4),c_Main_OdprodE__3(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X0,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_in(c_Pair(c_Main_OdsumE__1(X2,c_Pair(c_Main_OdprodE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,X3,X4),c_Main_OdprodE__3(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),c_Main_OdsumE__2(X2,c_Pair(c_Main_OdprodE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,X3,X4),c_Main_OdprodE__3(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| ~ c_in(X1,c_Datatype__Universe_Odprod(c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1377])]) ).
fof(f5281,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( c_in(c_Pair(c_Main_OdsumE__3(X0,c_Pair(c_Main_OdprodE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,X3,X4),c_Main_OdprodE__3(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),c_Main_OdsumE__4(X0,c_Pair(c_Main_OdprodE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,X3,X4),c_Main_OdprodE__3(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X0,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_in(c_Pair(c_Main_OdsumE__1(X2,c_Pair(c_Main_OdprodE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,X3,X4),c_Main_OdprodE__3(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),c_Main_OdsumE__2(X2,c_Pair(c_Main_OdprodE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,X3,X4),c_Main_OdprodE__3(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| ~ c_in(X1,c_Datatype__Universe_Odprod(c_Datatype__Universe_Odsum(X2,X0,X3,X4),X5,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) )
| ~ spl0_616
| ~ spl0_623 ),
inference(resolution,[],[f5278,f5140]) ).
fof(f55692,plain,
( spl0_1376
| ~ spl0_597
| ~ spl0_616 ),
inference(avatar_split_clause,[],[f5192,f5139,f4909,f55690]) ).
fof(f55690,plain,
( spl0_1376
<=> ! [X5,X4,X2,X0,X6,X3,X1] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(c_Relation_Orel__comp(X1,X2,X3,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X6,X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
| c_Pair(c_Main_OdprodE__1(X0,c_Relation_Orel__comp(X1,X2,X3,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X6,X4,X5),c_Main_OdprodE__3(X0,c_Relation_Orel__comp(X1,X2,X3,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X6,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))) = c_Pair(c_Main_Orel__compE__1(X1,X2,c_Pair(c_Main_OdprodE__1(X0,c_Relation_Orel__comp(X1,X2,X3,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X6,X4,X5),c_Main_OdprodE__3(X0,c_Relation_Orel__comp(X1,X2,X3,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X6,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X3,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),c_Main_Orel__compE__3(X1,X2,c_Pair(c_Main_OdprodE__1(X0,c_Relation_Orel__comp(X1,X2,X3,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X6,X4,X5),c_Main_OdprodE__3(X0,c_Relation_Orel__comp(X1,X2,X3,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X6,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X3,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1376])]) ).
fof(f4909,plain,
( spl0_597
<=> ! [X5,X31,X30,X6,X2,X1] :
( ~ c_in(X30,c_Relation_Orel__comp(X5,X6,X31,X2,X1),tc_prod(X1,X2))
| c_Pair(c_Main_Orel__compE__1(X5,X6,X30,X31,X2,X1),c_Main_Orel__compE__3(X5,X6,X30,X31,X2,X1),X1,X2) = X30 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_597])]) ).
fof(f5192,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(c_Relation_Orel__comp(X1,X2,X3,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X6,X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
| c_Pair(c_Main_OdprodE__1(X0,c_Relation_Orel__comp(X1,X2,X3,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X6,X4,X5),c_Main_OdprodE__3(X0,c_Relation_Orel__comp(X1,X2,X3,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X6,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))) = c_Pair(c_Main_Orel__compE__1(X1,X2,c_Pair(c_Main_OdprodE__1(X0,c_Relation_Orel__comp(X1,X2,X3,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X6,X4,X5),c_Main_OdprodE__3(X0,c_Relation_Orel__comp(X1,X2,X3,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X6,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X3,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),c_Main_Orel__compE__3(X1,X2,c_Pair(c_Main_OdprodE__1(X0,c_Relation_Orel__comp(X1,X2,X3,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X6,X4,X5),c_Main_OdprodE__3(X0,c_Relation_Orel__comp(X1,X2,X3,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X6,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X3,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))) )
| ~ spl0_597
| ~ spl0_616 ),
inference(resolution,[],[f5140,f4910]) ).
fof(f4910,plain,
( ! [X31,X2,X1,X6,X5,X30] :
( ~ c_in(X30,c_Relation_Orel__comp(X5,X6,X31,X2,X1),tc_prod(X1,X2))
| c_Pair(c_Main_Orel__compE__1(X5,X6,X30,X31,X2,X1),c_Main_Orel__compE__3(X5,X6,X30,X31,X2,X1),X1,X2) = X30 )
| ~ spl0_597 ),
inference(avatar_component_clause,[],[f4909]) ).
fof(f55688,plain,
( spl0_1375
| ~ spl0_597
| ~ spl0_615 ),
inference(avatar_split_clause,[],[f5162,f5135,f4909,f55686]) ).
fof(f55686,plain,
( spl0_1375
<=> ! [X5,X4,X2,X0,X6,X3,X1] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,c_Relation_Orel__comp(X2,X3,X4,tc_set(tc_Datatype__Universe_Onode(X5,X6)),tc_set(tc_Datatype__Universe_Onode(X5,X6))),X5,X6),tc_prod(tc_set(tc_Datatype__Universe_Onode(X5,X6)),tc_set(tc_Datatype__Universe_Onode(X5,X6))))
| c_Pair(c_Main_OdprodE__2(X0,X1,c_Relation_Orel__comp(X2,X3,X4,tc_set(tc_Datatype__Universe_Onode(X5,X6)),tc_set(tc_Datatype__Universe_Onode(X5,X6))),X5,X6),c_Main_OdprodE__4(X0,X1,c_Relation_Orel__comp(X2,X3,X4,tc_set(tc_Datatype__Universe_Onode(X5,X6)),tc_set(tc_Datatype__Universe_Onode(X5,X6))),X5,X6),tc_set(tc_Datatype__Universe_Onode(X5,X6)),tc_set(tc_Datatype__Universe_Onode(X5,X6))) = c_Pair(c_Main_Orel__compE__1(X2,X3,c_Pair(c_Main_OdprodE__2(X0,X1,c_Relation_Orel__comp(X2,X3,X4,tc_set(tc_Datatype__Universe_Onode(X5,X6)),tc_set(tc_Datatype__Universe_Onode(X5,X6))),X5,X6),c_Main_OdprodE__4(X0,X1,c_Relation_Orel__comp(X2,X3,X4,tc_set(tc_Datatype__Universe_Onode(X5,X6)),tc_set(tc_Datatype__Universe_Onode(X5,X6))),X5,X6),tc_set(tc_Datatype__Universe_Onode(X5,X6)),tc_set(tc_Datatype__Universe_Onode(X5,X6))),X4,tc_set(tc_Datatype__Universe_Onode(X5,X6)),tc_set(tc_Datatype__Universe_Onode(X5,X6))),c_Main_Orel__compE__3(X2,X3,c_Pair(c_Main_OdprodE__2(X0,X1,c_Relation_Orel__comp(X2,X3,X4,tc_set(tc_Datatype__Universe_Onode(X5,X6)),tc_set(tc_Datatype__Universe_Onode(X5,X6))),X5,X6),c_Main_OdprodE__4(X0,X1,c_Relation_Orel__comp(X2,X3,X4,tc_set(tc_Datatype__Universe_Onode(X5,X6)),tc_set(tc_Datatype__Universe_Onode(X5,X6))),X5,X6),tc_set(tc_Datatype__Universe_Onode(X5,X6)),tc_set(tc_Datatype__Universe_Onode(X5,X6))),X4,tc_set(tc_Datatype__Universe_Onode(X5,X6)),tc_set(tc_Datatype__Universe_Onode(X5,X6))),tc_set(tc_Datatype__Universe_Onode(X5,X6)),tc_set(tc_Datatype__Universe_Onode(X5,X6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1375])]) ).
fof(f5162,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,c_Relation_Orel__comp(X2,X3,X4,tc_set(tc_Datatype__Universe_Onode(X5,X6)),tc_set(tc_Datatype__Universe_Onode(X5,X6))),X5,X6),tc_prod(tc_set(tc_Datatype__Universe_Onode(X5,X6)),tc_set(tc_Datatype__Universe_Onode(X5,X6))))
| c_Pair(c_Main_OdprodE__2(X0,X1,c_Relation_Orel__comp(X2,X3,X4,tc_set(tc_Datatype__Universe_Onode(X5,X6)),tc_set(tc_Datatype__Universe_Onode(X5,X6))),X5,X6),c_Main_OdprodE__4(X0,X1,c_Relation_Orel__comp(X2,X3,X4,tc_set(tc_Datatype__Universe_Onode(X5,X6)),tc_set(tc_Datatype__Universe_Onode(X5,X6))),X5,X6),tc_set(tc_Datatype__Universe_Onode(X5,X6)),tc_set(tc_Datatype__Universe_Onode(X5,X6))) = c_Pair(c_Main_Orel__compE__1(X2,X3,c_Pair(c_Main_OdprodE__2(X0,X1,c_Relation_Orel__comp(X2,X3,X4,tc_set(tc_Datatype__Universe_Onode(X5,X6)),tc_set(tc_Datatype__Universe_Onode(X5,X6))),X5,X6),c_Main_OdprodE__4(X0,X1,c_Relation_Orel__comp(X2,X3,X4,tc_set(tc_Datatype__Universe_Onode(X5,X6)),tc_set(tc_Datatype__Universe_Onode(X5,X6))),X5,X6),tc_set(tc_Datatype__Universe_Onode(X5,X6)),tc_set(tc_Datatype__Universe_Onode(X5,X6))),X4,tc_set(tc_Datatype__Universe_Onode(X5,X6)),tc_set(tc_Datatype__Universe_Onode(X5,X6))),c_Main_Orel__compE__3(X2,X3,c_Pair(c_Main_OdprodE__2(X0,X1,c_Relation_Orel__comp(X2,X3,X4,tc_set(tc_Datatype__Universe_Onode(X5,X6)),tc_set(tc_Datatype__Universe_Onode(X5,X6))),X5,X6),c_Main_OdprodE__4(X0,X1,c_Relation_Orel__comp(X2,X3,X4,tc_set(tc_Datatype__Universe_Onode(X5,X6)),tc_set(tc_Datatype__Universe_Onode(X5,X6))),X5,X6),tc_set(tc_Datatype__Universe_Onode(X5,X6)),tc_set(tc_Datatype__Universe_Onode(X5,X6))),X4,tc_set(tc_Datatype__Universe_Onode(X5,X6)),tc_set(tc_Datatype__Universe_Onode(X5,X6))),tc_set(tc_Datatype__Universe_Onode(X5,X6)),tc_set(tc_Datatype__Universe_Onode(X5,X6))) )
| ~ spl0_597
| ~ spl0_615 ),
inference(resolution,[],[f5136,f4910]) ).
fof(f55577,plain,
( spl0_1374
| ~ spl0_581
| ~ spl0_619 ),
inference(avatar_split_clause,[],[f5225,f5219,f4702,f55575]) ).
fof(f55575,plain,
( spl0_1374
<=> ! [X3,X4,X0,X5,X2,X1] :
( c_Pair(c_Main_OImageE__1(X0,X1,c_Datatype__Universe_Odprod(X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X1,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))) = c_Pair(c_Datatype__Universe_OScons(c_Main_OdprodE__1(c_Pair(c_Main_OImageE__1(X0,X1,c_Datatype__Universe_Odprod(X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X1,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,X3,X4,X5),c_Main_OdprodE__2(c_Pair(c_Main_OImageE__1(X0,X1,c_Datatype__Universe_Odprod(X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X1,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,X3,X4,X5),X4,X5),c_Datatype__Universe_OScons(c_Main_OdprodE__3(c_Pair(c_Main_OImageE__1(X0,X1,c_Datatype__Universe_Odprod(X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X1,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,X3,X4,X5),c_Main_OdprodE__4(c_Pair(c_Main_OImageE__1(X0,X1,c_Datatype__Universe_Odprod(X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X1,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,X3,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))
| ~ c_in(X1,c_Relation_OImage(c_Datatype__Universe_Odprod(X2,X3,X4,X5),X0,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),tc_set(tc_Datatype__Universe_Onode(X4,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1374])]) ).
fof(f5225,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( c_Pair(c_Main_OImageE__1(X0,X1,c_Datatype__Universe_Odprod(X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X1,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))) = c_Pair(c_Datatype__Universe_OScons(c_Main_OdprodE__1(c_Pair(c_Main_OImageE__1(X0,X1,c_Datatype__Universe_Odprod(X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X1,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,X3,X4,X5),c_Main_OdprodE__2(c_Pair(c_Main_OImageE__1(X0,X1,c_Datatype__Universe_Odprod(X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X1,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,X3,X4,X5),X4,X5),c_Datatype__Universe_OScons(c_Main_OdprodE__3(c_Pair(c_Main_OImageE__1(X0,X1,c_Datatype__Universe_Odprod(X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X1,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,X3,X4,X5),c_Main_OdprodE__4(c_Pair(c_Main_OImageE__1(X0,X1,c_Datatype__Universe_Odprod(X2,X3,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X1,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,X3,X4,X5),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))
| ~ c_in(X1,c_Relation_OImage(c_Datatype__Universe_Odprod(X2,X3,X4,X5),X0,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),tc_set(tc_Datatype__Universe_Onode(X4,X5))) )
| ~ spl0_581
| ~ spl0_619 ),
inference(resolution,[],[f5220,f4703]) ).
fof(f54983,plain,
( spl0_1373
| ~ spl0_581
| ~ spl0_623 ),
inference(avatar_split_clause,[],[f5285,f5277,f4702,f54981]) ).
fof(f54981,plain,
( spl0_1373
<=> ! [X3,X4,X0,X5,X2,X1] :
( c_in(c_Pair(c_Main_OdsumE__3(X0,c_Pair(c_Main_OImageE__1(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),c_Main_OdsumE__4(X0,c_Pair(c_Main_OImageE__1(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X0,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
| c_in(c_Pair(c_Main_OdsumE__1(X3,c_Pair(c_Main_OImageE__1(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),c_Main_OdsumE__2(X3,c_Pair(c_Main_OImageE__1(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
| ~ c_in(X2,c_Relation_OImage(c_Datatype__Universe_Odsum(X3,X0,X4,X5),X1,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),tc_set(tc_Datatype__Universe_Onode(X4,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1373])]) ).
fof(f5285,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( c_in(c_Pair(c_Main_OdsumE__3(X0,c_Pair(c_Main_OImageE__1(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),c_Main_OdsumE__4(X0,c_Pair(c_Main_OImageE__1(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X0,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
| c_in(c_Pair(c_Main_OdsumE__1(X3,c_Pair(c_Main_OImageE__1(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),c_Main_OdsumE__2(X3,c_Pair(c_Main_OImageE__1(X1,X2,c_Datatype__Universe_Odsum(X3,X0,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
| ~ c_in(X2,c_Relation_OImage(c_Datatype__Universe_Odsum(X3,X0,X4,X5),X1,tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),tc_set(tc_Datatype__Universe_Onode(X4,X5))) )
| ~ spl0_581
| ~ spl0_623 ),
inference(resolution,[],[f5278,f4703]) ).
fof(f54979,plain,
( spl0_1372
| ~ spl0_570
| ~ spl0_619 ),
inference(avatar_split_clause,[],[f5226,f5219,f4557,f54977]) ).
fof(f54977,plain,
( spl0_1372
<=> ! [X4,X0,X3,X2,X1] :
( c_Pair(c_Main_ORangeE__1(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X0,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = c_Pair(c_Datatype__Universe_OScons(c_Main_OdprodE__1(c_Pair(c_Main_ORangeE__1(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X0,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,X2,X3,X4),c_Main_OdprodE__2(c_Pair(c_Main_ORangeE__1(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X0,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,X2,X3,X4),X3,X4),c_Datatype__Universe_OScons(c_Main_OdprodE__3(c_Pair(c_Main_ORangeE__1(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X0,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,X2,X3,X4),c_Main_OdprodE__4(c_Pair(c_Main_ORangeE__1(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X0,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,X2,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ c_in(X0,c_Relation_ORange(c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1372])]) ).
fof(f5226,plain,
( ! [X2,X3,X0,X1,X4] :
( c_Pair(c_Main_ORangeE__1(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X0,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = c_Pair(c_Datatype__Universe_OScons(c_Main_OdprodE__1(c_Pair(c_Main_ORangeE__1(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X0,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,X2,X3,X4),c_Main_OdprodE__2(c_Pair(c_Main_ORangeE__1(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X0,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,X2,X3,X4),X3,X4),c_Datatype__Universe_OScons(c_Main_OdprodE__3(c_Pair(c_Main_ORangeE__1(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X0,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,X2,X3,X4),c_Main_OdprodE__4(c_Pair(c_Main_ORangeE__1(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X0,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,X2,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ c_in(X0,c_Relation_ORange(c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4))) )
| ~ spl0_570
| ~ spl0_619 ),
inference(resolution,[],[f5220,f4558]) ).
fof(f54975,plain,
( spl0_1371
| ~ spl0_569
| ~ spl0_619 ),
inference(avatar_split_clause,[],[f5222,f5219,f4553,f54973]) ).
fof(f54973,plain,
( spl0_1371
<=> ! [X4,X0,X3,X2,X1] :
( c_Pair(X0,c_Main_ODomainE__1(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = c_Pair(c_Datatype__Universe_OScons(c_Main_OdprodE__1(c_Pair(X0,c_Main_ODomainE__1(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,X2,X3,X4),c_Main_OdprodE__2(c_Pair(X0,c_Main_ODomainE__1(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,X2,X3,X4),X3,X4),c_Datatype__Universe_OScons(c_Main_OdprodE__3(c_Pair(X0,c_Main_ODomainE__1(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,X2,X3,X4),c_Main_OdprodE__4(c_Pair(X0,c_Main_ODomainE__1(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,X2,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ c_in(X0,c_Relation_ODomain(c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1371])]) ).
fof(f5222,plain,
( ! [X2,X3,X0,X1,X4] :
( c_Pair(X0,c_Main_ODomainE__1(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = c_Pair(c_Datatype__Universe_OScons(c_Main_OdprodE__1(c_Pair(X0,c_Main_ODomainE__1(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,X2,X3,X4),c_Main_OdprodE__2(c_Pair(X0,c_Main_ODomainE__1(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,X2,X3,X4),X3,X4),c_Datatype__Universe_OScons(c_Main_OdprodE__3(c_Pair(X0,c_Main_ODomainE__1(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,X2,X3,X4),c_Main_OdprodE__4(c_Pair(X0,c_Main_ODomainE__1(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,X2,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ c_in(X0,c_Relation_ODomain(c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4))) )
| ~ spl0_569
| ~ spl0_619 ),
inference(resolution,[],[f5220,f4554]) ).
fof(f54239,plain,
( spl0_1370
| ~ spl0_570
| ~ spl0_623 ),
inference(avatar_split_clause,[],[f5286,f5277,f4557,f54237]) ).
fof(f54237,plain,
( spl0_1370
<=> ! [X2,X4,X0,X3,X1] :
( c_in(c_Pair(c_Main_OdsumE__3(X0,c_Pair(c_Main_ORangeE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),c_Main_OdsumE__4(X0,c_Pair(c_Main_ORangeE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X0,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_in(c_Pair(c_Main_OdsumE__1(X2,c_Pair(c_Main_ORangeE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),c_Main_OdsumE__2(X2,c_Pair(c_Main_ORangeE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| ~ c_in(X1,c_Relation_ORange(c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1370])]) ).
fof(f5286,plain,
( ! [X2,X3,X0,X1,X4] :
( c_in(c_Pair(c_Main_OdsumE__3(X0,c_Pair(c_Main_ORangeE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),c_Main_OdsumE__4(X0,c_Pair(c_Main_ORangeE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X0,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_in(c_Pair(c_Main_OdsumE__1(X2,c_Pair(c_Main_ORangeE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),c_Main_OdsumE__2(X2,c_Pair(c_Main_ORangeE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| ~ c_in(X1,c_Relation_ORange(c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4))) )
| ~ spl0_570
| ~ spl0_623 ),
inference(resolution,[],[f5278,f4558]) ).
fof(f54235,plain,
( spl0_1369
| ~ spl0_569
| ~ spl0_623 ),
inference(avatar_split_clause,[],[f5280,f5277,f4553,f54233]) ).
fof(f54233,plain,
( spl0_1369
<=> ! [X4,X0,X3,X2,X1] :
( c_in(c_Pair(c_Main_OdsumE__3(X0,c_Pair(X1,c_Main_ODomainE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),c_Main_OdsumE__4(X0,c_Pair(X1,c_Main_ODomainE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X0,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_in(c_Pair(c_Main_OdsumE__1(X2,c_Pair(X1,c_Main_ODomainE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),c_Main_OdsumE__2(X2,c_Pair(X1,c_Main_ODomainE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| ~ c_in(X1,c_Relation_ODomain(c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1369])]) ).
fof(f5280,plain,
( ! [X2,X3,X0,X1,X4] :
( c_in(c_Pair(c_Main_OdsumE__3(X0,c_Pair(X1,c_Main_ODomainE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),c_Main_OdsumE__4(X0,c_Pair(X1,c_Main_ODomainE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X0,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_in(c_Pair(c_Main_OdsumE__1(X2,c_Pair(X1,c_Main_ODomainE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),c_Main_OdsumE__2(X2,c_Pair(X1,c_Main_ODomainE__1(X1,c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| ~ c_in(X1,c_Relation_ODomain(c_Datatype__Universe_Odsum(X2,X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4))) )
| ~ spl0_569
| ~ spl0_623 ),
inference(resolution,[],[f5278,f4554]) ).
fof(f54066,plain,
( spl0_1368
| ~ spl0_619
| ~ spl0_624 ),
inference(avatar_split_clause,[],[f5300,f5293,f5219,f54064]) ).
fof(f54064,plain,
( spl0_1368
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ c_in(c_Pair(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| ~ c_in(c_Pair(X5,X6,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X7,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_Pair(c_Datatype__Universe_OScons(X0,X5,X2,X3),c_Datatype__Universe_OScons(X1,X6,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = c_Pair(c_Datatype__Universe_OScons(c_Main_OdprodE__1(c_Pair(c_Datatype__Universe_OScons(X0,X5,X2,X3),c_Datatype__Universe_OScons(X1,X6,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X7,X2,X3),c_Main_OdprodE__2(c_Pair(c_Datatype__Universe_OScons(X0,X5,X2,X3),c_Datatype__Universe_OScons(X1,X6,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X7,X2,X3),X2,X3),c_Datatype__Universe_OScons(c_Main_OdprodE__3(c_Pair(c_Datatype__Universe_OScons(X0,X5,X2,X3),c_Datatype__Universe_OScons(X1,X6,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X7,X2,X3),c_Main_OdprodE__4(c_Pair(c_Datatype__Universe_OScons(X0,X5,X2,X3),c_Datatype__Universe_OScons(X1,X6,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X7,X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1368])]) ).
fof(f5293,plain,
( spl0_624
<=> ! [X5,X10,X9,X7,X8,X6,X2,X1] :
( ~ c_in(c_Pair(X7,X8,tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X6,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| ~ c_in(c_Pair(X9,X10,tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| c_in(c_Pair(c_Datatype__Universe_OScons(X9,X7,X1,X2),c_Datatype__Universe_OScons(X10,X8,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),c_Datatype__Universe_Odprod(X5,X6,X1,X2),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_624])]) ).
fof(f5300,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ c_in(c_Pair(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| ~ c_in(c_Pair(X5,X6,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X7,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_Pair(c_Datatype__Universe_OScons(X0,X5,X2,X3),c_Datatype__Universe_OScons(X1,X6,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = c_Pair(c_Datatype__Universe_OScons(c_Main_OdprodE__1(c_Pair(c_Datatype__Universe_OScons(X0,X5,X2,X3),c_Datatype__Universe_OScons(X1,X6,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X7,X2,X3),c_Main_OdprodE__2(c_Pair(c_Datatype__Universe_OScons(X0,X5,X2,X3),c_Datatype__Universe_OScons(X1,X6,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X7,X2,X3),X2,X3),c_Datatype__Universe_OScons(c_Main_OdprodE__3(c_Pair(c_Datatype__Universe_OScons(X0,X5,X2,X3),c_Datatype__Universe_OScons(X1,X6,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X7,X2,X3),c_Main_OdprodE__4(c_Pair(c_Datatype__Universe_OScons(X0,X5,X2,X3),c_Datatype__Universe_OScons(X1,X6,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X7,X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) )
| ~ spl0_619
| ~ spl0_624 ),
inference(resolution,[],[f5294,f5220]) ).
fof(f5294,plain,
( ! [X2,X10,X1,X8,X6,X9,X7,X5] :
( c_in(c_Pair(c_Datatype__Universe_OScons(X9,X7,X1,X2),c_Datatype__Universe_OScons(X10,X8,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),c_Datatype__Universe_Odprod(X5,X6,X1,X2),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| ~ c_in(c_Pair(X9,X10,tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| ~ c_in(c_Pair(X7,X8,tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X6,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2)))) )
| ~ spl0_624 ),
inference(avatar_component_clause,[],[f5293]) ).
fof(f53468,plain,
( spl0_1367
| ~ spl0_618
| ~ spl0_620 ),
inference(avatar_split_clause,[],[f5239,f5232,f5207,f53466]) ).
fof(f53466,plain,
( spl0_1367
<=> ! [X5,X4,X0,X3,X2,X1] :
( c_Pair(c_Datatype__Universe_OIn1(X1,X2,X3),c_Datatype__Universe_OIn1(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X0,c_Pair(c_Datatype__Universe_OIn1(X1,X2,X3),c_Datatype__Universe_OIn1(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X2,X3),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X0,c_Pair(c_Datatype__Universe_OIn1(X1,X2,X3),c_Datatype__Universe_OIn1(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_Pair(c_Datatype__Universe_OIn1(X1,X2,X3),c_Datatype__Universe_OIn1(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X5,c_Pair(c_Datatype__Universe_OIn1(X1,X2,X3),c_Datatype__Universe_OIn1(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X2,X3),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X5,c_Pair(c_Datatype__Universe_OIn1(X1,X2,X3),c_Datatype__Universe_OIn1(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ c_in(c_Pair(X1,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X0,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1367])]) ).
fof(f5207,plain,
( spl0_618
<=> ! [X5,X7,X8,X6,X2,X1] :
( ~ c_in(c_Pair(X7,X8,tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X6,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| c_in(c_Pair(c_Datatype__Universe_OIn1(X7,X1,X2),c_Datatype__Universe_OIn1(X8,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),c_Datatype__Universe_Odsum(X5,X6,X1,X2),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_618])]) ).
fof(f5239,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( c_Pair(c_Datatype__Universe_OIn1(X1,X2,X3),c_Datatype__Universe_OIn1(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X0,c_Pair(c_Datatype__Universe_OIn1(X1,X2,X3),c_Datatype__Universe_OIn1(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X2,X3),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X0,c_Pair(c_Datatype__Universe_OIn1(X1,X2,X3),c_Datatype__Universe_OIn1(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_Pair(c_Datatype__Universe_OIn1(X1,X2,X3),c_Datatype__Universe_OIn1(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X5,c_Pair(c_Datatype__Universe_OIn1(X1,X2,X3),c_Datatype__Universe_OIn1(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X2,X3),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X5,c_Pair(c_Datatype__Universe_OIn1(X1,X2,X3),c_Datatype__Universe_OIn1(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ c_in(c_Pair(X1,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X0,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) )
| ~ spl0_618
| ~ spl0_620 ),
inference(resolution,[],[f5233,f5208]) ).
fof(f5208,plain,
( ! [X2,X1,X8,X6,X7,X5] :
( c_in(c_Pair(c_Datatype__Universe_OIn1(X7,X1,X2),c_Datatype__Universe_OIn1(X8,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),c_Datatype__Universe_Odsum(X5,X6,X1,X2),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| ~ c_in(c_Pair(X7,X8,tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X6,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2)))) )
| ~ spl0_618 ),
inference(avatar_component_clause,[],[f5207]) ).
fof(f53464,plain,
( spl0_1366
| ~ spl0_617
| ~ spl0_620 ),
inference(avatar_split_clause,[],[f5238,f5232,f5203,f53462]) ).
fof(f53462,plain,
( spl0_1366
<=> ! [X5,X4,X0,X3,X2,X1] :
( c_Pair(c_Datatype__Universe_OIn0(X1,X2,X3),c_Datatype__Universe_OIn0(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X0,c_Pair(c_Datatype__Universe_OIn0(X1,X2,X3),c_Datatype__Universe_OIn0(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X2,X3),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X0,c_Pair(c_Datatype__Universe_OIn0(X1,X2,X3),c_Datatype__Universe_OIn0(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_Pair(c_Datatype__Universe_OIn0(X1,X2,X3),c_Datatype__Universe_OIn0(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X5,c_Pair(c_Datatype__Universe_OIn0(X1,X2,X3),c_Datatype__Universe_OIn0(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X2,X3),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X5,c_Pair(c_Datatype__Universe_OIn0(X1,X2,X3),c_Datatype__Universe_OIn0(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ c_in(c_Pair(X1,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1366])]) ).
fof(f5203,plain,
( spl0_617
<=> ! [X6,X9,X10,X5,X2,X1] :
( ~ c_in(c_Pair(X9,X10,tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| c_in(c_Pair(c_Datatype__Universe_OIn0(X9,X1,X2),c_Datatype__Universe_OIn0(X10,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),c_Datatype__Universe_Odsum(X5,X6,X1,X2),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_617])]) ).
fof(f5238,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( c_Pair(c_Datatype__Universe_OIn0(X1,X2,X3),c_Datatype__Universe_OIn0(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X0,c_Pair(c_Datatype__Universe_OIn0(X1,X2,X3),c_Datatype__Universe_OIn0(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X2,X3),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X0,c_Pair(c_Datatype__Universe_OIn0(X1,X2,X3),c_Datatype__Universe_OIn0(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_Pair(c_Datatype__Universe_OIn0(X1,X2,X3),c_Datatype__Universe_OIn0(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X5,c_Pair(c_Datatype__Universe_OIn0(X1,X2,X3),c_Datatype__Universe_OIn0(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X2,X3),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X5,c_Pair(c_Datatype__Universe_OIn0(X1,X2,X3),c_Datatype__Universe_OIn0(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ c_in(c_Pair(X1,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) )
| ~ spl0_617
| ~ spl0_620 ),
inference(resolution,[],[f5233,f5204]) ).
fof(f5204,plain,
( ! [X2,X10,X1,X6,X9,X5] :
( c_in(c_Pair(c_Datatype__Universe_OIn0(X9,X1,X2),c_Datatype__Universe_OIn0(X10,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),c_Datatype__Universe_Odsum(X5,X6,X1,X2),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| ~ c_in(c_Pair(X9,X10,tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2)))) )
| ~ spl0_617 ),
inference(avatar_component_clause,[],[f5203]) ).
fof(f53460,plain,
( spl0_1365
| ~ spl0_584
| ~ spl0_616 ),
inference(avatar_split_clause,[],[f5189,f5139,f4790,f53458]) ).
fof(f53458,plain,
( spl0_1365
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(c_Relation_Oconverse(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_Pair(c_Main_OdprodE__1(X0,c_Relation_Oconverse(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X2,X3),c_Main_OdprodE__3(X0,c_Relation_Oconverse(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = c_Pair(c_Main_OconverseE__2(X1,c_Pair(c_Main_OdprodE__1(X0,c_Relation_Oconverse(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X2,X3),c_Main_OdprodE__3(X0,c_Relation_Oconverse(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Main_OconverseE__1(X1,c_Pair(c_Main_OdprodE__1(X0,c_Relation_Oconverse(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X2,X3),c_Main_OdprodE__3(X0,c_Relation_Oconverse(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1365])]) ).
fof(f4790,plain,
( spl0_584
<=> ! [X5,X29,X2,X1] :
( ~ c_in(X29,c_Relation_Oconverse(X5,X2,X1),tc_prod(X1,X2))
| c_Pair(c_Main_OconverseE__2(X5,X29,X2,X1),c_Main_OconverseE__1(X5,X29,X2,X1),X1,X2) = X29 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_584])]) ).
fof(f5189,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(c_Relation_Oconverse(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_Pair(c_Main_OdprodE__1(X0,c_Relation_Oconverse(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X2,X3),c_Main_OdprodE__3(X0,c_Relation_Oconverse(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = c_Pair(c_Main_OconverseE__2(X1,c_Pair(c_Main_OdprodE__1(X0,c_Relation_Oconverse(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X2,X3),c_Main_OdprodE__3(X0,c_Relation_Oconverse(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Main_OconverseE__1(X1,c_Pair(c_Main_OdprodE__1(X0,c_Relation_Oconverse(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X2,X3),c_Main_OdprodE__3(X0,c_Relation_Oconverse(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) )
| ~ spl0_584
| ~ spl0_616 ),
inference(resolution,[],[f5140,f4791]) ).
fof(f4791,plain,
( ! [X2,X29,X1,X5] :
( ~ c_in(X29,c_Relation_Oconverse(X5,X2,X1),tc_prod(X1,X2))
| c_Pair(c_Main_OconverseE__2(X5,X29,X2,X1),c_Main_OconverseE__1(X5,X29,X2,X1),X1,X2) = X29 )
| ~ spl0_584 ),
inference(avatar_component_clause,[],[f4790]) ).
fof(f53456,plain,
( spl0_1364
| ~ spl0_584
| ~ spl0_615 ),
inference(avatar_split_clause,[],[f5159,f5135,f4790,f53454]) ).
fof(f53454,plain,
( spl0_1364
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,c_Relation_Oconverse(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_Pair(c_Main_OdprodE__2(X0,X1,c_Relation_Oconverse(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),c_Main_OdprodE__4(X0,X1,c_Relation_Oconverse(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = c_Pair(c_Main_OconverseE__2(X2,c_Pair(c_Main_OdprodE__2(X0,X1,c_Relation_Oconverse(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),c_Main_OdprodE__4(X0,X1,c_Relation_Oconverse(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Main_OconverseE__1(X2,c_Pair(c_Main_OdprodE__2(X0,X1,c_Relation_Oconverse(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),c_Main_OdprodE__4(X0,X1,c_Relation_Oconverse(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1364])]) ).
fof(f5159,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,c_Relation_Oconverse(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_Pair(c_Main_OdprodE__2(X0,X1,c_Relation_Oconverse(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),c_Main_OdprodE__4(X0,X1,c_Relation_Oconverse(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = c_Pair(c_Main_OconverseE__2(X2,c_Pair(c_Main_OdprodE__2(X0,X1,c_Relation_Oconverse(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),c_Main_OdprodE__4(X0,X1,c_Relation_Oconverse(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Main_OconverseE__1(X2,c_Pair(c_Main_OdprodE__2(X0,X1,c_Relation_Oconverse(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),c_Main_OdprodE__4(X0,X1,c_Relation_Oconverse(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) )
| ~ spl0_584
| ~ spl0_615 ),
inference(resolution,[],[f5136,f4791]) ).
fof(f53440,plain,
( spl0_1363
| ~ spl0_429
| ~ spl0_620 ),
inference(avatar_split_clause,[],[f5245,f5232,f3596,f53438]) ).
fof(f53438,plain,
( spl0_1363
<=> ! [X4,X0,X3,X2,X1] :
( c_Main_OsubsetI__1(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) = c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X0,c_Main_OsubsetI__1(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X2,X3),X2,X3),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X0,c_Main_OsubsetI__1(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_Main_OsubsetI__1(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) = c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X1,c_Main_OsubsetI__1(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X2,X3),X2,X3),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X1,c_Main_OsubsetI__1(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_lessequals(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1363])]) ).
fof(f3596,plain,
( spl0_429
<=> ! [X13,X12,X1] :
( c_lessequals(X12,X13,tc_set(X1))
| c_in(c_Main_OsubsetI__1(X12,X13,X1),X12,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_429])]) ).
fof(f5245,plain,
( ! [X2,X3,X0,X1,X4] :
( c_Main_OsubsetI__1(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) = c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X0,c_Main_OsubsetI__1(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X2,X3),X2,X3),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X0,c_Main_OsubsetI__1(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_Main_OsubsetI__1(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) = c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X1,c_Main_OsubsetI__1(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X2,X3),X2,X3),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X1,c_Main_OsubsetI__1(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_lessequals(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))) )
| ~ spl0_429
| ~ spl0_620 ),
inference(resolution,[],[f5233,f3597]) ).
fof(f3597,plain,
( ! [X1,X12,X13] :
( c_in(c_Main_OsubsetI__1(X12,X13,X1),X12,X1)
| c_lessequals(X12,X13,tc_set(X1)) )
| ~ spl0_429 ),
inference(avatar_component_clause,[],[f3596]) ).
fof(f53095,plain,
( spl0_1362
| ~ spl0_618
| ~ spl0_622 ),
inference(avatar_split_clause,[],[f5269,f5251,f5207,f53093]) ).
fof(f53093,plain,
( spl0_1362
<=> ! [X5,X4,X0,X3,X2,X1] :
( c_Pair(c_Datatype__Universe_OIn1(X1,X2,X3),c_Datatype__Universe_OIn1(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X0,c_Pair(c_Datatype__Universe_OIn1(X1,X2,X3),c_Datatype__Universe_OIn1(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X2,X3),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X0,c_Pair(c_Datatype__Universe_OIn1(X1,X2,X3),c_Datatype__Universe_OIn1(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_in(c_Pair(c_Main_OdsumE__1(X5,c_Pair(c_Datatype__Universe_OIn1(X1,X2,X3),c_Datatype__Universe_OIn1(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),c_Main_OdsumE__2(X5,c_Pair(c_Datatype__Universe_OIn1(X1,X2,X3),c_Datatype__Universe_OIn1(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| ~ c_in(c_Pair(X1,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X0,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1362])]) ).
fof(f5269,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( c_Pair(c_Datatype__Universe_OIn1(X1,X2,X3),c_Datatype__Universe_OIn1(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X0,c_Pair(c_Datatype__Universe_OIn1(X1,X2,X3),c_Datatype__Universe_OIn1(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X2,X3),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X0,c_Pair(c_Datatype__Universe_OIn1(X1,X2,X3),c_Datatype__Universe_OIn1(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_in(c_Pair(c_Main_OdsumE__1(X5,c_Pair(c_Datatype__Universe_OIn1(X1,X2,X3),c_Datatype__Universe_OIn1(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),c_Main_OdsumE__2(X5,c_Pair(c_Datatype__Universe_OIn1(X1,X2,X3),c_Datatype__Universe_OIn1(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| ~ c_in(c_Pair(X1,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X0,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) )
| ~ spl0_618
| ~ spl0_622 ),
inference(resolution,[],[f5252,f5208]) ).
fof(f53091,plain,
( spl0_1361
| ~ spl0_617
| ~ spl0_621 ),
inference(avatar_split_clause,[],[f5257,f5247,f5203,f53089]) ).
fof(f53089,plain,
( spl0_1361
<=> ! [X5,X4,X0,X3,X2,X1] :
( c_Pair(c_Datatype__Universe_OIn0(X1,X2,X3),c_Datatype__Universe_OIn0(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X0,c_Pair(c_Datatype__Universe_OIn0(X1,X2,X3),c_Datatype__Universe_OIn0(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X2,X3),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X0,c_Pair(c_Datatype__Universe_OIn0(X1,X2,X3),c_Datatype__Universe_OIn0(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_in(c_Pair(c_Main_OdsumE__3(X5,c_Pair(c_Datatype__Universe_OIn0(X1,X2,X3),c_Datatype__Universe_OIn0(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),c_Main_OdsumE__4(X5,c_Pair(c_Datatype__Universe_OIn0(X1,X2,X3),c_Datatype__Universe_OIn0(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| ~ c_in(c_Pair(X1,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X0,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1361])]) ).
fof(f5257,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( c_Pair(c_Datatype__Universe_OIn0(X1,X2,X3),c_Datatype__Universe_OIn0(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X0,c_Pair(c_Datatype__Universe_OIn0(X1,X2,X3),c_Datatype__Universe_OIn0(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X2,X3),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X0,c_Pair(c_Datatype__Universe_OIn0(X1,X2,X3),c_Datatype__Universe_OIn0(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_in(c_Pair(c_Main_OdsumE__3(X5,c_Pair(c_Datatype__Universe_OIn0(X1,X2,X3),c_Datatype__Universe_OIn0(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),c_Main_OdsumE__4(X5,c_Pair(c_Datatype__Universe_OIn0(X1,X2,X3),c_Datatype__Universe_OIn0(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| ~ c_in(c_Pair(X1,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X0,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) )
| ~ spl0_617
| ~ spl0_621 ),
inference(resolution,[],[f5248,f5204]) ).
fof(f52735,plain,
( spl0_1360
| ~ spl0_429
| ~ spl0_622 ),
inference(avatar_split_clause,[],[f5275,f5251,f3596,f52733]) ).
fof(f52733,plain,
( spl0_1360
<=> ! [X4,X0,X3,X2,X1] :
( c_Main_OsubsetI__1(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) = c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X0,c_Main_OsubsetI__1(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X2,X3),X2,X3),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X0,c_Main_OsubsetI__1(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_in(c_Pair(c_Main_OdsumE__1(X1,c_Main_OsubsetI__1(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X2,X3),c_Main_OdsumE__2(X1,c_Main_OsubsetI__1(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_lessequals(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1360])]) ).
fof(f5275,plain,
( ! [X2,X3,X0,X1,X4] :
( c_Main_OsubsetI__1(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) = c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X0,c_Main_OsubsetI__1(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X2,X3),X2,X3),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X0,c_Main_OsubsetI__1(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_in(c_Pair(c_Main_OdsumE__1(X1,c_Main_OsubsetI__1(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X2,X3),c_Main_OdsumE__2(X1,c_Main_OsubsetI__1(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_lessequals(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))) )
| ~ spl0_429
| ~ spl0_622 ),
inference(resolution,[],[f5252,f3597]) ).
fof(f52731,plain,
( spl0_1359
| ~ spl0_429
| ~ spl0_621 ),
inference(avatar_split_clause,[],[f5264,f5247,f3596,f52729]) ).
fof(f52729,plain,
( spl0_1359
<=> ! [X4,X0,X3,X2,X1] :
( c_Main_OsubsetI__1(c_Datatype__Universe_Odsum(X0,X1,X2,X3),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) = c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X0,c_Main_OsubsetI__1(c_Datatype__Universe_Odsum(X0,X1,X2,X3),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X2,X3),X2,X3),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X0,c_Main_OsubsetI__1(c_Datatype__Universe_Odsum(X0,X1,X2,X3),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_in(c_Pair(c_Main_OdsumE__3(X1,c_Main_OsubsetI__1(c_Datatype__Universe_Odsum(X0,X1,X2,X3),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X2,X3),c_Main_OdsumE__4(X1,c_Main_OsubsetI__1(c_Datatype__Universe_Odsum(X0,X1,X2,X3),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_lessequals(c_Datatype__Universe_Odsum(X0,X1,X2,X3),X4,tc_set(tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1359])]) ).
fof(f5264,plain,
( ! [X2,X3,X0,X1,X4] :
( c_Main_OsubsetI__1(c_Datatype__Universe_Odsum(X0,X1,X2,X3),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) = c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X0,c_Main_OsubsetI__1(c_Datatype__Universe_Odsum(X0,X1,X2,X3),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X2,X3),X2,X3),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X0,c_Main_OsubsetI__1(c_Datatype__Universe_Odsum(X0,X1,X2,X3),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_in(c_Pair(c_Main_OdsumE__3(X1,c_Main_OsubsetI__1(c_Datatype__Universe_Odsum(X0,X1,X2,X3),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X2,X3),c_Main_OdsumE__4(X1,c_Main_OsubsetI__1(c_Datatype__Universe_Odsum(X0,X1,X2,X3),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_lessequals(c_Datatype__Universe_Odsum(X0,X1,X2,X3),X4,tc_set(tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))) )
| ~ spl0_429
| ~ spl0_621 ),
inference(resolution,[],[f5248,f3597]) ).
fof(f52023,plain,
( spl0_1358
| ~ spl0_618
| ~ spl0_623 ),
inference(avatar_split_clause,[],[f5284,f5277,f5207,f52021]) ).
fof(f52021,plain,
( spl0_1358
<=> ! [X5,X4,X0,X3,X2,X1] :
( c_in(c_Pair(c_Main_OdsumE__3(X0,c_Pair(c_Datatype__Universe_OIn1(X1,X2,X3),c_Datatype__Universe_OIn1(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),c_Main_OdsumE__4(X0,c_Pair(c_Datatype__Universe_OIn1(X1,X2,X3),c_Datatype__Universe_OIn1(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X0,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_in(c_Pair(c_Main_OdsumE__1(X5,c_Pair(c_Datatype__Universe_OIn1(X1,X2,X3),c_Datatype__Universe_OIn1(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),c_Main_OdsumE__2(X5,c_Pair(c_Datatype__Universe_OIn1(X1,X2,X3),c_Datatype__Universe_OIn1(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| ~ c_in(c_Pair(X1,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X0,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1358])]) ).
fof(f5284,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( c_in(c_Pair(c_Main_OdsumE__3(X0,c_Pair(c_Datatype__Universe_OIn1(X1,X2,X3),c_Datatype__Universe_OIn1(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),c_Main_OdsumE__4(X0,c_Pair(c_Datatype__Universe_OIn1(X1,X2,X3),c_Datatype__Universe_OIn1(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X0,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_in(c_Pair(c_Main_OdsumE__1(X5,c_Pair(c_Datatype__Universe_OIn1(X1,X2,X3),c_Datatype__Universe_OIn1(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),c_Main_OdsumE__2(X5,c_Pair(c_Datatype__Universe_OIn1(X1,X2,X3),c_Datatype__Universe_OIn1(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| ~ c_in(c_Pair(X1,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X0,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) )
| ~ spl0_618
| ~ spl0_623 ),
inference(resolution,[],[f5278,f5208]) ).
fof(f52008,plain,
( spl0_1357
| ~ spl0_617
| ~ spl0_623 ),
inference(avatar_split_clause,[],[f5283,f5277,f5203,f52006]) ).
fof(f52006,plain,
( spl0_1357
<=> ! [X5,X4,X0,X3,X2,X1] :
( c_in(c_Pair(c_Main_OdsumE__3(X0,c_Pair(c_Datatype__Universe_OIn0(X1,X2,X3),c_Datatype__Universe_OIn0(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),c_Main_OdsumE__4(X0,c_Pair(c_Datatype__Universe_OIn0(X1,X2,X3),c_Datatype__Universe_OIn0(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X0,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_in(c_Pair(c_Main_OdsumE__1(X5,c_Pair(c_Datatype__Universe_OIn0(X1,X2,X3),c_Datatype__Universe_OIn0(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),c_Main_OdsumE__2(X5,c_Pair(c_Datatype__Universe_OIn0(X1,X2,X3),c_Datatype__Universe_OIn0(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| ~ c_in(c_Pair(X1,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1357])]) ).
fof(f5283,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( c_in(c_Pair(c_Main_OdsumE__3(X0,c_Pair(c_Datatype__Universe_OIn0(X1,X2,X3),c_Datatype__Universe_OIn0(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),c_Main_OdsumE__4(X0,c_Pair(c_Datatype__Universe_OIn0(X1,X2,X3),c_Datatype__Universe_OIn0(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X0,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_in(c_Pair(c_Main_OdsumE__1(X5,c_Pair(c_Datatype__Universe_OIn0(X1,X2,X3),c_Datatype__Universe_OIn0(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),c_Main_OdsumE__2(X5,c_Pair(c_Datatype__Universe_OIn0(X1,X2,X3),c_Datatype__Universe_OIn0(X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| ~ c_in(c_Pair(X1,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) )
| ~ spl0_617
| ~ spl0_623 ),
inference(resolution,[],[f5278,f5204]) ).
fof(f51652,plain,
( spl0_1356
| ~ spl0_429
| ~ spl0_623 ),
inference(avatar_split_clause,[],[f5290,f5277,f3596,f51650]) ).
fof(f51650,plain,
( spl0_1356
<=> ! [X4,X0,X3,X2,X1] :
( c_in(c_Pair(c_Main_OdsumE__3(X0,c_Main_OsubsetI__1(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X2,X3),c_Main_OdsumE__4(X0,c_Main_OsubsetI__1(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X0,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_in(c_Pair(c_Main_OdsumE__1(X1,c_Main_OsubsetI__1(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X2,X3),c_Main_OdsumE__2(X1,c_Main_OsubsetI__1(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_lessequals(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1356])]) ).
fof(f5290,plain,
( ! [X2,X3,X0,X1,X4] :
( c_in(c_Pair(c_Main_OdsumE__3(X0,c_Main_OsubsetI__1(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X2,X3),c_Main_OdsumE__4(X0,c_Main_OsubsetI__1(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X0,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_in(c_Pair(c_Main_OdsumE__1(X1,c_Main_OsubsetI__1(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X2,X3),c_Main_OdsumE__2(X1,c_Main_OsubsetI__1(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_lessequals(c_Datatype__Universe_Odsum(X1,X0,X2,X3),X4,tc_set(tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))) )
| ~ spl0_429
| ~ spl0_623 ),
inference(resolution,[],[f5278,f3597]) ).
fof(f51404,plain,
( spl0_1355
| ~ spl0_571
| ~ spl0_616 ),
inference(avatar_split_clause,[],[f5190,f5139,f4561,f51402]) ).
fof(f51402,plain,
( spl0_1355
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(c_Relation_Odiag(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_Pair(c_Main_OdprodE__1(X0,c_Relation_Odiag(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X2,X3),c_Main_OdprodE__3(X0,c_Relation_Odiag(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = c_Pair(c_Main_OdiagE__1(X1,c_Pair(c_Main_OdprodE__1(X0,c_Relation_Odiag(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X2,X3),c_Main_OdprodE__3(X0,c_Relation_Odiag(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Main_OdiagE__1(X1,c_Pair(c_Main_OdprodE__1(X0,c_Relation_Odiag(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X2,X3),c_Main_OdprodE__3(X0,c_Relation_Odiag(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1355])]) ).
fof(f4561,plain,
( spl0_571
<=> ! [X12,X1,X4] :
( ~ c_in(X4,c_Relation_Odiag(X12,X1),tc_prod(X1,X1))
| c_Pair(c_Main_OdiagE__1(X12,X4,X1),c_Main_OdiagE__1(X12,X4,X1),X1,X1) = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_571])]) ).
fof(f5190,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(c_Relation_Odiag(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_Pair(c_Main_OdprodE__1(X0,c_Relation_Odiag(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X2,X3),c_Main_OdprodE__3(X0,c_Relation_Odiag(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = c_Pair(c_Main_OdiagE__1(X1,c_Pair(c_Main_OdprodE__1(X0,c_Relation_Odiag(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X2,X3),c_Main_OdprodE__3(X0,c_Relation_Odiag(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Main_OdiagE__1(X1,c_Pair(c_Main_OdprodE__1(X0,c_Relation_Odiag(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X2,X3),c_Main_OdprodE__3(X0,c_Relation_Odiag(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) )
| ~ spl0_571
| ~ spl0_616 ),
inference(resolution,[],[f5140,f4562]) ).
fof(f4562,plain,
( ! [X1,X4,X12] :
( ~ c_in(X4,c_Relation_Odiag(X12,X1),tc_prod(X1,X1))
| c_Pair(c_Main_OdiagE__1(X12,X4,X1),c_Main_OdiagE__1(X12,X4,X1),X1,X1) = X4 )
| ~ spl0_571 ),
inference(avatar_component_clause,[],[f4561]) ).
fof(f51400,plain,
( spl0_1354
| ~ spl0_571
| ~ spl0_615 ),
inference(avatar_split_clause,[],[f5160,f5135,f4561,f51398]) ).
fof(f51398,plain,
( spl0_1354
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,c_Relation_Odiag(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_Pair(c_Main_OdprodE__2(X0,X1,c_Relation_Odiag(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),c_Main_OdprodE__4(X0,X1,c_Relation_Odiag(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = c_Pair(c_Main_OdiagE__1(X2,c_Pair(c_Main_OdprodE__2(X0,X1,c_Relation_Odiag(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),c_Main_OdprodE__4(X0,X1,c_Relation_Odiag(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Main_OdiagE__1(X2,c_Pair(c_Main_OdprodE__2(X0,X1,c_Relation_Odiag(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),c_Main_OdprodE__4(X0,X1,c_Relation_Odiag(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1354])]) ).
fof(f5160,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,c_Relation_Odiag(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_Pair(c_Main_OdprodE__2(X0,X1,c_Relation_Odiag(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),c_Main_OdprodE__4(X0,X1,c_Relation_Odiag(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = c_Pair(c_Main_OdiagE__1(X2,c_Pair(c_Main_OdprodE__2(X0,X1,c_Relation_Odiag(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),c_Main_OdprodE__4(X0,X1,c_Relation_Odiag(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Main_OdiagE__1(X2,c_Pair(c_Main_OdprodE__2(X0,X1,c_Relation_Odiag(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),c_Main_OdprodE__4(X0,X1,c_Relation_Odiag(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) )
| ~ spl0_571
| ~ spl0_615 ),
inference(resolution,[],[f5136,f4562]) ).
fof(f50690,plain,
( spl0_1353
| ~ spl0_515
| ~ spl0_616 ),
inference(avatar_split_clause,[],[f5199,f5139,f4097,f50688]) ).
fof(f50688,plain,
( spl0_1353
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(c_union(X1,X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X5,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_in(c_Pair(c_Main_OdprodE__1(X0,c_union(X1,X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X5,X3,X4),c_Main_OdprodE__3(X0,c_union(X1,X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_in(c_Pair(c_Main_OdprodE__1(X0,c_union(X1,X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X5,X3,X4),c_Main_OdprodE__3(X0,c_union(X1,X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1353])]) ).
fof(f4097,plain,
( spl0_515
<=> ! [X4,X13,X12,X1] :
( c_in(X4,X12,X1)
| c_in(X4,X13,X1)
| ~ c_in(X4,c_union(X12,X13,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_515])]) ).
fof(f5199,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(c_union(X1,X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X5,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_in(c_Pair(c_Main_OdprodE__1(X0,c_union(X1,X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X5,X3,X4),c_Main_OdprodE__3(X0,c_union(X1,X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_in(c_Pair(c_Main_OdprodE__1(X0,c_union(X1,X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X5,X3,X4),c_Main_OdprodE__3(X0,c_union(X1,X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) )
| ~ spl0_515
| ~ spl0_616 ),
inference(resolution,[],[f5140,f4098]) ).
fof(f4098,plain,
( ! [X1,X4,X12,X13] :
( ~ c_in(X4,c_union(X12,X13,X1),X1)
| c_in(X4,X13,X1)
| c_in(X4,X12,X1) )
| ~ spl0_515 ),
inference(avatar_component_clause,[],[f4097]) ).
fof(f50674,plain,
( spl0_1352
| ~ spl0_515
| ~ spl0_615 ),
inference(avatar_split_clause,[],[f5169,f5135,f4097,f50672]) ).
fof(f50672,plain,
( spl0_1352
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,c_union(X2,X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))),X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
| c_in(c_Pair(c_Main_OdprodE__2(X0,X1,c_union(X2,X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))),X4,X5),c_Main_OdprodE__4(X0,X1,c_union(X2,X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
| c_in(c_Pair(c_Main_OdprodE__2(X0,X1,c_union(X2,X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))),X4,X5),c_Main_OdprodE__4(X0,X1,c_union(X2,X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1352])]) ).
fof(f5169,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,c_union(X2,X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))),X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
| c_in(c_Pair(c_Main_OdprodE__2(X0,X1,c_union(X2,X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))),X4,X5),c_Main_OdprodE__4(X0,X1,c_union(X2,X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
| c_in(c_Pair(c_Main_OdprodE__2(X0,X1,c_union(X2,X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))),X4,X5),c_Main_OdprodE__4(X0,X1,c_union(X2,X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))) )
| ~ spl0_515
| ~ spl0_615 ),
inference(resolution,[],[f5136,f4098]) ).
fof(f50658,plain,
( spl0_1351
| ~ spl0_429
| ~ spl0_619 ),
inference(avatar_split_clause,[],[f5230,f5219,f3596,f50656]) ).
fof(f50656,plain,
( spl0_1351
<=> ! [X4,X0,X3,X2,X1] :
( c_Main_OsubsetI__1(c_Datatype__Universe_Odprod(X0,X1,X2,X3),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) = c_Pair(c_Datatype__Universe_OScons(c_Main_OdprodE__1(c_Main_OsubsetI__1(c_Datatype__Universe_Odprod(X0,X1,X2,X3),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X0,X1,X2,X3),c_Main_OdprodE__2(c_Main_OsubsetI__1(c_Datatype__Universe_Odprod(X0,X1,X2,X3),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X0,X1,X2,X3),X2,X3),c_Datatype__Universe_OScons(c_Main_OdprodE__3(c_Main_OsubsetI__1(c_Datatype__Universe_Odprod(X0,X1,X2,X3),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X0,X1,X2,X3),c_Main_OdprodE__4(c_Main_OsubsetI__1(c_Datatype__Universe_Odprod(X0,X1,X2,X3),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X0,X1,X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_lessequals(c_Datatype__Universe_Odprod(X0,X1,X2,X3),X4,tc_set(tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1351])]) ).
fof(f5230,plain,
( ! [X2,X3,X0,X1,X4] :
( c_Main_OsubsetI__1(c_Datatype__Universe_Odprod(X0,X1,X2,X3),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) = c_Pair(c_Datatype__Universe_OScons(c_Main_OdprodE__1(c_Main_OsubsetI__1(c_Datatype__Universe_Odprod(X0,X1,X2,X3),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X0,X1,X2,X3),c_Main_OdprodE__2(c_Main_OsubsetI__1(c_Datatype__Universe_Odprod(X0,X1,X2,X3),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X0,X1,X2,X3),X2,X3),c_Datatype__Universe_OScons(c_Main_OdprodE__3(c_Main_OsubsetI__1(c_Datatype__Universe_Odprod(X0,X1,X2,X3),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X0,X1,X2,X3),c_Main_OdprodE__4(c_Main_OsubsetI__1(c_Datatype__Universe_Odprod(X0,X1,X2,X3),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X0,X1,X2,X3),X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_lessequals(c_Datatype__Universe_Odprod(X0,X1,X2,X3),X4,tc_set(tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))) )
| ~ spl0_429
| ~ spl0_619 ),
inference(resolution,[],[f5220,f3597]) ).
fof(f50304,plain,
( spl0_1350
| ~ spl0_496
| ~ spl0_616 ),
inference(avatar_split_clause,[],[f5181,f5139,f3967,f50302]) ).
fof(f50302,plain,
( spl0_1350
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(c_insert(X1,X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X5,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_in(c_Pair(c_Main_OdprodE__1(X0,c_insert(X1,X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X5,X3,X4),c_Main_OdprodE__3(X0,c_insert(X1,X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_Pair(c_Main_OdprodE__1(X0,c_insert(X1,X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X5,X3,X4),c_Main_OdprodE__3(X0,c_insert(X1,X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1350])]) ).
fof(f3967,plain,
( spl0_496
<=> ! [X18,X12,X27,X1] :
( X18 = X27
| c_in(X18,X12,X1)
| ~ c_in(X18,c_insert(X27,X12,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_496])]) ).
fof(f5181,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(c_insert(X1,X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X5,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_in(c_Pair(c_Main_OdprodE__1(X0,c_insert(X1,X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X5,X3,X4),c_Main_OdprodE__3(X0,c_insert(X1,X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_Pair(c_Main_OdprodE__1(X0,c_insert(X1,X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X5,X3,X4),c_Main_OdprodE__3(X0,c_insert(X1,X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = X1 )
| ~ spl0_496
| ~ spl0_616 ),
inference(resolution,[],[f5140,f3968]) ).
fof(f3968,plain,
( ! [X18,X1,X27,X12] :
( ~ c_in(X18,c_insert(X27,X12,X1),X1)
| c_in(X18,X12,X1)
| X18 = X27 )
| ~ spl0_496 ),
inference(avatar_component_clause,[],[f3967]) ).
fof(f50300,plain,
( spl0_1349
| ~ spl0_496
| ~ spl0_615 ),
inference(avatar_split_clause,[],[f5151,f5135,f3967,f50298]) ).
fof(f50298,plain,
( spl0_1349
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,c_insert(X2,X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))),X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
| c_in(c_Pair(c_Main_OdprodE__2(X0,X1,c_insert(X2,X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))),X4,X5),c_Main_OdprodE__4(X0,X1,c_insert(X2,X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
| c_Pair(c_Main_OdprodE__2(X0,X1,c_insert(X2,X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))),X4,X5),c_Main_OdprodE__4(X0,X1,c_insert(X2,X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1349])]) ).
fof(f5151,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,c_insert(X2,X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))),X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
| c_in(c_Pair(c_Main_OdprodE__2(X0,X1,c_insert(X2,X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))),X4,X5),c_Main_OdprodE__4(X0,X1,c_insert(X2,X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
| c_Pair(c_Main_OdprodE__2(X0,X1,c_insert(X2,X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))),X4,X5),c_Main_OdprodE__4(X0,X1,c_insert(X2,X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))) = X2 )
| ~ spl0_496
| ~ spl0_615 ),
inference(resolution,[],[f5136,f3968]) ).
fof(f50037,plain,
( spl0_1348
| ~ spl0_597
| ~ spl0_606 ),
inference(avatar_split_clause,[],[f5039,f4978,f4909,f50035]) ).
fof(f50035,plain,
( spl0_1348
<=> ! [X5,X4,X2,X7,X0,X6,X3,X1] :
( ~ c_in(X0,c_Relation_Orel__comp(X1,c_Relation_Orel__comp(X2,X3,X4,X5,X6),X5,X7,X6),tc_prod(X6,X7))
| c_Pair(c_Main_Orel__compE__1(X1,c_Relation_Orel__comp(X2,X3,X4,X5,X6),X0,X5,X7,X6),c_Main_Orel__compE__2(X1,c_Relation_Orel__comp(X2,X3,X4,X5,X6),X0,X5,X7,X6),X6,X5) = c_Pair(c_Main_Orel__compE__1(X2,X3,c_Pair(c_Main_Orel__compE__1(X1,c_Relation_Orel__comp(X2,X3,X4,X5,X6),X0,X5,X7,X6),c_Main_Orel__compE__2(X1,c_Relation_Orel__comp(X2,X3,X4,X5,X6),X0,X5,X7,X6),X6,X5),X4,X5,X6),c_Main_Orel__compE__3(X2,X3,c_Pair(c_Main_Orel__compE__1(X1,c_Relation_Orel__comp(X2,X3,X4,X5,X6),X0,X5,X7,X6),c_Main_Orel__compE__2(X1,c_Relation_Orel__comp(X2,X3,X4,X5,X6),X0,X5,X7,X6),X6,X5),X4,X5,X6),X6,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1348])]) ).
fof(f5039,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ c_in(X0,c_Relation_Orel__comp(X1,c_Relation_Orel__comp(X2,X3,X4,X5,X6),X5,X7,X6),tc_prod(X6,X7))
| c_Pair(c_Main_Orel__compE__1(X1,c_Relation_Orel__comp(X2,X3,X4,X5,X6),X0,X5,X7,X6),c_Main_Orel__compE__2(X1,c_Relation_Orel__comp(X2,X3,X4,X5,X6),X0,X5,X7,X6),X6,X5) = c_Pair(c_Main_Orel__compE__1(X2,X3,c_Pair(c_Main_Orel__compE__1(X1,c_Relation_Orel__comp(X2,X3,X4,X5,X6),X0,X5,X7,X6),c_Main_Orel__compE__2(X1,c_Relation_Orel__comp(X2,X3,X4,X5,X6),X0,X5,X7,X6),X6,X5),X4,X5,X6),c_Main_Orel__compE__3(X2,X3,c_Pair(c_Main_Orel__compE__1(X1,c_Relation_Orel__comp(X2,X3,X4,X5,X6),X0,X5,X7,X6),c_Main_Orel__compE__2(X1,c_Relation_Orel__comp(X2,X3,X4,X5,X6),X0,X5,X7,X6),X6,X5),X4,X5,X6),X6,X5) )
| ~ spl0_597
| ~ spl0_606 ),
inference(resolution,[],[f4979,f4910]) ).
fof(f50022,plain,
( spl0_1347
| ~ spl0_597
| ~ spl0_605 ),
inference(avatar_split_clause,[],[f5009,f4974,f4909,f50020]) ).
fof(f50020,plain,
( spl0_1347
<=> ! [X5,X4,X2,X7,X0,X6,X3,X1] :
( ~ c_in(X0,c_Relation_Orel__comp(c_Relation_Orel__comp(X1,X2,X3,X4,X5),X6,X5,X4,X7),tc_prod(X7,X4))
| c_Pair(c_Main_Orel__compE__2(c_Relation_Orel__comp(X1,X2,X3,X4,X5),X6,X0,X5,X4,X7),c_Main_Orel__compE__3(c_Relation_Orel__comp(X1,X2,X3,X4,X5),X6,X0,X5,X4,X7),X5,X4) = c_Pair(c_Main_Orel__compE__1(X1,X2,c_Pair(c_Main_Orel__compE__2(c_Relation_Orel__comp(X1,X2,X3,X4,X5),X6,X0,X5,X4,X7),c_Main_Orel__compE__3(c_Relation_Orel__comp(X1,X2,X3,X4,X5),X6,X0,X5,X4,X7),X5,X4),X3,X4,X5),c_Main_Orel__compE__3(X1,X2,c_Pair(c_Main_Orel__compE__2(c_Relation_Orel__comp(X1,X2,X3,X4,X5),X6,X0,X5,X4,X7),c_Main_Orel__compE__3(c_Relation_Orel__comp(X1,X2,X3,X4,X5),X6,X0,X5,X4,X7),X5,X4),X3,X4,X5),X5,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1347])]) ).
fof(f5009,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ c_in(X0,c_Relation_Orel__comp(c_Relation_Orel__comp(X1,X2,X3,X4,X5),X6,X5,X4,X7),tc_prod(X7,X4))
| c_Pair(c_Main_Orel__compE__2(c_Relation_Orel__comp(X1,X2,X3,X4,X5),X6,X0,X5,X4,X7),c_Main_Orel__compE__3(c_Relation_Orel__comp(X1,X2,X3,X4,X5),X6,X0,X5,X4,X7),X5,X4) = c_Pair(c_Main_Orel__compE__1(X1,X2,c_Pair(c_Main_Orel__compE__2(c_Relation_Orel__comp(X1,X2,X3,X4,X5),X6,X0,X5,X4,X7),c_Main_Orel__compE__3(c_Relation_Orel__comp(X1,X2,X3,X4,X5),X6,X0,X5,X4,X7),X5,X4),X3,X4,X5),c_Main_Orel__compE__3(X1,X2,c_Pair(c_Main_Orel__compE__2(c_Relation_Orel__comp(X1,X2,X3,X4,X5),X6,X0,X5,X4,X7),c_Main_Orel__compE__3(c_Relation_Orel__comp(X1,X2,X3,X4,X5),X6,X0,X5,X4,X7),X5,X4),X3,X4,X5),X5,X4) )
| ~ spl0_597
| ~ spl0_605 ),
inference(resolution,[],[f4975,f4910]) ).
fof(f49722,plain,
( spl0_1346
| ~ spl0_575
| ~ spl0_616 ),
inference(avatar_split_clause,[],[f5188,f5139,f4578,f49720]) ).
fof(f49720,plain,
( spl0_1346
<=> ! [X5,X4,X2,X0,X6,X3,X1] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(c_Relation_OImage(X1,c_insert(X2,c_emptyset,X3),X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))),X6,X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
| c_in(c_Pair(X2,c_Pair(c_Main_OdprodE__1(X0,c_Relation_OImage(X1,c_insert(X2,c_emptyset,X3),X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))),X6,X4,X5),c_Main_OdprodE__3(X0,c_Relation_OImage(X1,c_insert(X2,c_emptyset,X3),X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))),X6,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))),X1,tc_prod(X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1346])]) ).
fof(f4578,plain,
( spl0_575
<=> ! [X5,X18,X27,X2,X1] :
( c_in(c_Pair(X18,X27,X2,X1),X5,tc_prod(X2,X1))
| ~ c_in(X27,c_Relation_OImage(X5,c_insert(X18,c_emptyset,X2),X2,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_575])]) ).
fof(f5188,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(c_Relation_OImage(X1,c_insert(X2,c_emptyset,X3),X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))),X6,X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
| c_in(c_Pair(X2,c_Pair(c_Main_OdprodE__1(X0,c_Relation_OImage(X1,c_insert(X2,c_emptyset,X3),X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))),X6,X4,X5),c_Main_OdprodE__3(X0,c_Relation_OImage(X1,c_insert(X2,c_emptyset,X3),X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))),X6,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))),X1,tc_prod(X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))) )
| ~ spl0_575
| ~ spl0_616 ),
inference(resolution,[],[f5140,f4579]) ).
fof(f4579,plain,
( ! [X2,X18,X1,X27,X5] :
( ~ c_in(X27,c_Relation_OImage(X5,c_insert(X18,c_emptyset,X2),X2,X1),X1)
| c_in(c_Pair(X18,X27,X2,X1),X5,tc_prod(X2,X1)) )
| ~ spl0_575 ),
inference(avatar_component_clause,[],[f4578]) ).
fof(f49718,plain,
( spl0_1345
| ~ spl0_575
| ~ spl0_615 ),
inference(avatar_split_clause,[],[f5158,f5135,f4578,f49716]) ).
fof(f49716,plain,
( spl0_1345
<=> ! [X5,X4,X2,X0,X6,X3,X1] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,c_Relation_OImage(X2,c_insert(X3,c_emptyset,X4),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X5,X6)),tc_set(tc_Datatype__Universe_Onode(X5,X6)))),X5,X6),tc_prod(tc_set(tc_Datatype__Universe_Onode(X5,X6)),tc_set(tc_Datatype__Universe_Onode(X5,X6))))
| c_in(c_Pair(X3,c_Pair(c_Main_OdprodE__2(X0,X1,c_Relation_OImage(X2,c_insert(X3,c_emptyset,X4),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X5,X6)),tc_set(tc_Datatype__Universe_Onode(X5,X6)))),X5,X6),c_Main_OdprodE__4(X0,X1,c_Relation_OImage(X2,c_insert(X3,c_emptyset,X4),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X5,X6)),tc_set(tc_Datatype__Universe_Onode(X5,X6)))),X5,X6),tc_set(tc_Datatype__Universe_Onode(X5,X6)),tc_set(tc_Datatype__Universe_Onode(X5,X6))),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X5,X6)),tc_set(tc_Datatype__Universe_Onode(X5,X6)))),X2,tc_prod(X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X5,X6)),tc_set(tc_Datatype__Universe_Onode(X5,X6))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1345])]) ).
fof(f5158,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,c_Relation_OImage(X2,c_insert(X3,c_emptyset,X4),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X5,X6)),tc_set(tc_Datatype__Universe_Onode(X5,X6)))),X5,X6),tc_prod(tc_set(tc_Datatype__Universe_Onode(X5,X6)),tc_set(tc_Datatype__Universe_Onode(X5,X6))))
| c_in(c_Pair(X3,c_Pair(c_Main_OdprodE__2(X0,X1,c_Relation_OImage(X2,c_insert(X3,c_emptyset,X4),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X5,X6)),tc_set(tc_Datatype__Universe_Onode(X5,X6)))),X5,X6),c_Main_OdprodE__4(X0,X1,c_Relation_OImage(X2,c_insert(X3,c_emptyset,X4),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X5,X6)),tc_set(tc_Datatype__Universe_Onode(X5,X6)))),X5,X6),tc_set(tc_Datatype__Universe_Onode(X5,X6)),tc_set(tc_Datatype__Universe_Onode(X5,X6))),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X5,X6)),tc_set(tc_Datatype__Universe_Onode(X5,X6)))),X2,tc_prod(X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X5,X6)),tc_set(tc_Datatype__Universe_Onode(X5,X6))))) )
| ~ spl0_575
| ~ spl0_615 ),
inference(resolution,[],[f5136,f4579]) ).
fof(f49205,plain,
( spl0_1344
| ~ spl0_611
| ~ spl0_624 ),
inference(avatar_split_clause,[],[f5296,f5293,f5070,f49203]) ).
fof(f49203,plain,
( spl0_1344
<=> ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ c_in(c_Pair(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| ~ c_in(c_Pair(X5,X6,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X7,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| ~ c_in(c_Pair(X8,c_Datatype__Universe_OScons(X0,X5,X2,X3),X9,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X10,tc_prod(X9,tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_in(c_Pair(X8,c_Datatype__Universe_OScons(X1,X6,X2,X3),X9,tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Relation_Orel__comp(c_Datatype__Universe_Odprod(X4,X7,X2,X3),X10,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X9),tc_prod(X9,tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1344])]) ).
fof(f5070,plain,
( spl0_611
<=> ! [X31,X4,X18,X6,X5,X27,X2,X1] :
( ~ c_in(c_Pair(X27,X4,X2,X31),X5,tc_prod(X2,X31))
| ~ c_in(c_Pair(X18,X27,X1,X2),X6,tc_prod(X1,X2))
| c_in(c_Pair(X18,X4,X1,X31),c_Relation_Orel__comp(X5,X6,X2,X31,X1),tc_prod(X1,X31)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_611])]) ).
fof(f5296,plain,
( ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ c_in(c_Pair(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| ~ c_in(c_Pair(X5,X6,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X7,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| ~ c_in(c_Pair(X8,c_Datatype__Universe_OScons(X0,X5,X2,X3),X9,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X10,tc_prod(X9,tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_in(c_Pair(X8,c_Datatype__Universe_OScons(X1,X6,X2,X3),X9,tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Relation_Orel__comp(c_Datatype__Universe_Odprod(X4,X7,X2,X3),X10,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X9),tc_prod(X9,tc_set(tc_Datatype__Universe_Onode(X2,X3)))) )
| ~ spl0_611
| ~ spl0_624 ),
inference(resolution,[],[f5294,f5071]) ).
fof(f5071,plain,
( ! [X2,X31,X18,X1,X6,X27,X4,X5] :
( ~ c_in(c_Pair(X27,X4,X2,X31),X5,tc_prod(X2,X31))
| ~ c_in(c_Pair(X18,X27,X1,X2),X6,tc_prod(X1,X2))
| c_in(c_Pair(X18,X4,X1,X31),c_Relation_Orel__comp(X5,X6,X2,X31,X1),tc_prod(X1,X31)) )
| ~ spl0_611 ),
inference(avatar_component_clause,[],[f5070]) ).
fof(f49201,plain,
( spl0_1343
| ~ spl0_690
| ~ spl0_800 ),
inference(avatar_split_clause,[],[f9488,f8878,f6209,f49199]) ).
fof(f49199,plain,
( spl0_1343
<=> ! [X0] : c_lessequals(X0,c_Message_Oparts(c_Message_Oanalz(c_Message_Oanalz(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)))),tc_set(tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1343])]) ).
fof(f6209,plain,
( spl0_690
<=> ! [X0,X1] :
( c_lessequals(X0,c_Message_Oparts(X1),tc_set(tc_Message_Omsg))
| ~ c_in(c_Main_OsubsetI__1(X0,c_Message_Oparts(X1),tc_Message_Omsg),X1,tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_690])]) ).
fof(f8878,plain,
( spl0_800
<=> ! [X0] : c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg))),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_800])]) ).
fof(f9488,plain,
( ! [X0] : c_lessequals(X0,c_Message_Oparts(c_Message_Oanalz(c_Message_Oanalz(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)))),tc_set(tc_Message_Omsg))
| ~ spl0_690
| ~ spl0_800 ),
inference(resolution,[],[f8879,f6210]) ).
fof(f6210,plain,
( ! [X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_Message_Oparts(X1),tc_Message_Omsg),X1,tc_Message_Omsg)
| c_lessequals(X0,c_Message_Oparts(X1),tc_set(tc_Message_Omsg)) )
| ~ spl0_690 ),
inference(avatar_component_clause,[],[f6209]) ).
fof(f8879,plain,
( ! [X0] : c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg))),tc_Message_Omsg)
| ~ spl0_800 ),
inference(avatar_component_clause,[],[f8878]) ).
fof(f49197,plain,
( spl0_1342
| ~ spl0_534
| ~ spl0_616 ),
inference(avatar_split_clause,[],[f5186,f5139,f4289,f49195]) ).
fof(f49195,plain,
( spl0_1342
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(c_Relation_OId,X1,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_Pair(c_Main_OdprodE__1(X0,c_Relation_OId,X1,X2,X3),c_Main_OdprodE__3(X0,c_Relation_OId,X1,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = c_Pair(c_Main_OIdE__1(c_Pair(c_Main_OdprodE__1(X0,c_Relation_OId,X1,X2,X3),c_Main_OdprodE__3(X0,c_Relation_OId,X1,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Main_OIdE__1(c_Pair(c_Main_OdprodE__1(X0,c_Relation_OId,X1,X2,X3),c_Main_OdprodE__3(X0,c_Relation_OId,X1,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1342])]) ).
fof(f4289,plain,
( spl0_534
<=> ! [X1,X28] :
( ~ c_in(X28,c_Relation_OId,tc_prod(X1,X1))
| c_Pair(c_Main_OIdE__1(X28,X1),c_Main_OIdE__1(X28,X1),X1,X1) = X28 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_534])]) ).
fof(f5186,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(c_Relation_OId,X1,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_Pair(c_Main_OdprodE__1(X0,c_Relation_OId,X1,X2,X3),c_Main_OdprodE__3(X0,c_Relation_OId,X1,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = c_Pair(c_Main_OIdE__1(c_Pair(c_Main_OdprodE__1(X0,c_Relation_OId,X1,X2,X3),c_Main_OdprodE__3(X0,c_Relation_OId,X1,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Main_OIdE__1(c_Pair(c_Main_OdprodE__1(X0,c_Relation_OId,X1,X2,X3),c_Main_OdprodE__3(X0,c_Relation_OId,X1,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) )
| ~ spl0_534
| ~ spl0_616 ),
inference(resolution,[],[f5140,f4290]) ).
fof(f4290,plain,
( ! [X28,X1] :
( ~ c_in(X28,c_Relation_OId,tc_prod(X1,X1))
| c_Pair(c_Main_OIdE__1(X28,X1),c_Main_OIdE__1(X28,X1),X1,X1) = X28 )
| ~ spl0_534 ),
inference(avatar_component_clause,[],[f4289]) ).
fof(f49193,plain,
( spl0_1341
| ~ spl0_534
| ~ spl0_615 ),
inference(avatar_split_clause,[],[f5156,f5135,f4289,f49191]) ).
fof(f49191,plain,
( spl0_1341
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,c_Relation_OId,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_Pair(c_Main_OdprodE__2(X0,X1,c_Relation_OId,X2,X3),c_Main_OdprodE__4(X0,X1,c_Relation_OId,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = c_Pair(c_Main_OIdE__1(c_Pair(c_Main_OdprodE__2(X0,X1,c_Relation_OId,X2,X3),c_Main_OdprodE__4(X0,X1,c_Relation_OId,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Main_OIdE__1(c_Pair(c_Main_OdprodE__2(X0,X1,c_Relation_OId,X2,X3),c_Main_OdprodE__4(X0,X1,c_Relation_OId,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1341])]) ).
fof(f5156,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,c_Relation_OId,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_Pair(c_Main_OdprodE__2(X0,X1,c_Relation_OId,X2,X3),c_Main_OdprodE__4(X0,X1,c_Relation_OId,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = c_Pair(c_Main_OIdE__1(c_Pair(c_Main_OdprodE__2(X0,X1,c_Relation_OId,X2,X3),c_Main_OdprodE__4(X0,X1,c_Relation_OId,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Main_OIdE__1(c_Pair(c_Main_OdprodE__2(X0,X1,c_Relation_OId,X2,X3),c_Main_OdprodE__4(X0,X1,c_Relation_OId,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) )
| ~ spl0_534
| ~ spl0_615 ),
inference(resolution,[],[f5136,f4290]) ).
fof(f49189,plain,
( spl0_1340
| ~ spl0_590
| ~ spl0_597 ),
inference(avatar_split_clause,[],[f4919,f4909,f4831,f49187]) ).
fof(f49187,plain,
( spl0_1340
<=> ! [X3,X4,X0,X5,X2,X1] :
( c_Pair(c_Main_OconverseE__1(c_Relation_Orel__comp(X0,X1,X2,X3,X4),X5,X4,X3),c_Main_OconverseE__2(c_Relation_Orel__comp(X0,X1,X2,X3,X4),X5,X4,X3),X4,X3) = c_Pair(c_Main_Orel__compE__1(X0,X1,c_Pair(c_Main_OconverseE__1(c_Relation_Orel__comp(X0,X1,X2,X3,X4),X5,X4,X3),c_Main_OconverseE__2(c_Relation_Orel__comp(X0,X1,X2,X3,X4),X5,X4,X3),X4,X3),X2,X3,X4),c_Main_Orel__compE__3(X0,X1,c_Pair(c_Main_OconverseE__1(c_Relation_Orel__comp(X0,X1,X2,X3,X4),X5,X4,X3),c_Main_OconverseE__2(c_Relation_Orel__comp(X0,X1,X2,X3,X4),X5,X4,X3),X4,X3),X2,X3,X4),X4,X3)
| ~ c_in(X5,c_Relation_Oconverse(c_Relation_Orel__comp(X0,X1,X2,X3,X4),X4,X3),tc_prod(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1340])]) ).
fof(f4919,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( c_Pair(c_Main_OconverseE__1(c_Relation_Orel__comp(X0,X1,X2,X3,X4),X5,X4,X3),c_Main_OconverseE__2(c_Relation_Orel__comp(X0,X1,X2,X3,X4),X5,X4,X3),X4,X3) = c_Pair(c_Main_Orel__compE__1(X0,X1,c_Pair(c_Main_OconverseE__1(c_Relation_Orel__comp(X0,X1,X2,X3,X4),X5,X4,X3),c_Main_OconverseE__2(c_Relation_Orel__comp(X0,X1,X2,X3,X4),X5,X4,X3),X4,X3),X2,X3,X4),c_Main_Orel__compE__3(X0,X1,c_Pair(c_Main_OconverseE__1(c_Relation_Orel__comp(X0,X1,X2,X3,X4),X5,X4,X3),c_Main_OconverseE__2(c_Relation_Orel__comp(X0,X1,X2,X3,X4),X5,X4,X3),X4,X3),X2,X3,X4),X4,X3)
| ~ c_in(X5,c_Relation_Oconverse(c_Relation_Orel__comp(X0,X1,X2,X3,X4),X4,X3),tc_prod(X3,X4)) )
| ~ spl0_590
| ~ spl0_597 ),
inference(resolution,[],[f4910,f4832]) ).
fof(f48930,plain,
( spl0_1339
| ~ spl0_584
| ~ spl0_606 ),
inference(avatar_split_clause,[],[f5036,f4978,f4790,f48928]) ).
fof(f48928,plain,
( spl0_1339
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ c_in(X0,c_Relation_Orel__comp(X1,c_Relation_Oconverse(X2,X3,X4),X3,X5,X4),tc_prod(X4,X5))
| c_Pair(c_Main_Orel__compE__1(X1,c_Relation_Oconverse(X2,X3,X4),X0,X3,X5,X4),c_Main_Orel__compE__2(X1,c_Relation_Oconverse(X2,X3,X4),X0,X3,X5,X4),X4,X3) = c_Pair(c_Main_OconverseE__2(X2,c_Pair(c_Main_Orel__compE__1(X1,c_Relation_Oconverse(X2,X3,X4),X0,X3,X5,X4),c_Main_Orel__compE__2(X1,c_Relation_Oconverse(X2,X3,X4),X0,X3,X5,X4),X4,X3),X3,X4),c_Main_OconverseE__1(X2,c_Pair(c_Main_Orel__compE__1(X1,c_Relation_Oconverse(X2,X3,X4),X0,X3,X5,X4),c_Main_Orel__compE__2(X1,c_Relation_Oconverse(X2,X3,X4),X0,X3,X5,X4),X4,X3),X3,X4),X4,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1339])]) ).
fof(f5036,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Relation_Orel__comp(X1,c_Relation_Oconverse(X2,X3,X4),X3,X5,X4),tc_prod(X4,X5))
| c_Pair(c_Main_Orel__compE__1(X1,c_Relation_Oconverse(X2,X3,X4),X0,X3,X5,X4),c_Main_Orel__compE__2(X1,c_Relation_Oconverse(X2,X3,X4),X0,X3,X5,X4),X4,X3) = c_Pair(c_Main_OconverseE__2(X2,c_Pair(c_Main_Orel__compE__1(X1,c_Relation_Oconverse(X2,X3,X4),X0,X3,X5,X4),c_Main_Orel__compE__2(X1,c_Relation_Oconverse(X2,X3,X4),X0,X3,X5,X4),X4,X3),X3,X4),c_Main_OconverseE__1(X2,c_Pair(c_Main_Orel__compE__1(X1,c_Relation_Oconverse(X2,X3,X4),X0,X3,X5,X4),c_Main_Orel__compE__2(X1,c_Relation_Oconverse(X2,X3,X4),X0,X3,X5,X4),X4,X3),X3,X4),X4,X3) )
| ~ spl0_584
| ~ spl0_606 ),
inference(resolution,[],[f4979,f4791]) ).
fof(f48926,plain,
( spl0_1338
| ~ spl0_584
| ~ spl0_605 ),
inference(avatar_split_clause,[],[f5006,f4974,f4790,f48924]) ).
fof(f48924,plain,
( spl0_1338
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ c_in(X0,c_Relation_Orel__comp(c_Relation_Oconverse(X1,X2,X3),X4,X3,X2,X5),tc_prod(X5,X2))
| c_Pair(c_Main_Orel__compE__2(c_Relation_Oconverse(X1,X2,X3),X4,X0,X3,X2,X5),c_Main_Orel__compE__3(c_Relation_Oconverse(X1,X2,X3),X4,X0,X3,X2,X5),X3,X2) = c_Pair(c_Main_OconverseE__2(X1,c_Pair(c_Main_Orel__compE__2(c_Relation_Oconverse(X1,X2,X3),X4,X0,X3,X2,X5),c_Main_Orel__compE__3(c_Relation_Oconverse(X1,X2,X3),X4,X0,X3,X2,X5),X3,X2),X2,X3),c_Main_OconverseE__1(X1,c_Pair(c_Main_Orel__compE__2(c_Relation_Oconverse(X1,X2,X3),X4,X0,X3,X2,X5),c_Main_Orel__compE__3(c_Relation_Oconverse(X1,X2,X3),X4,X0,X3,X2,X5),X3,X2),X2,X3),X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1338])]) ).
fof(f5006,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Relation_Orel__comp(c_Relation_Oconverse(X1,X2,X3),X4,X3,X2,X5),tc_prod(X5,X2))
| c_Pair(c_Main_Orel__compE__2(c_Relation_Oconverse(X1,X2,X3),X4,X0,X3,X2,X5),c_Main_Orel__compE__3(c_Relation_Oconverse(X1,X2,X3),X4,X0,X3,X2,X5),X3,X2) = c_Pair(c_Main_OconverseE__2(X1,c_Pair(c_Main_Orel__compE__2(c_Relation_Oconverse(X1,X2,X3),X4,X0,X3,X2,X5),c_Main_Orel__compE__3(c_Relation_Oconverse(X1,X2,X3),X4,X0,X3,X2,X5),X3,X2),X2,X3),c_Main_OconverseE__1(X1,c_Pair(c_Main_Orel__compE__2(c_Relation_Oconverse(X1,X2,X3),X4,X0,X3,X2,X5),c_Main_Orel__compE__3(c_Relation_Oconverse(X1,X2,X3),X4,X0,X3,X2,X5),X3,X2),X2,X3),X3,X2) )
| ~ spl0_584
| ~ spl0_605 ),
inference(resolution,[],[f4975,f4791]) ).
fof(f48588,plain,
( spl0_1337
| ~ spl0_514
| ~ spl0_616 ),
inference(avatar_split_clause,[],[f5195,f5139,f4093,f48586]) ).
fof(f48586,plain,
( spl0_1337
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(c_Inter(X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X4,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| ~ c_in(X5,X1,tc_set(tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))))
| c_in(c_Pair(c_Main_OdprodE__1(X0,c_Inter(X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X4,X2,X3),c_Main_OdprodE__3(X0,c_Inter(X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1337])]) ).
fof(f4093,plain,
( spl0_514
<=> ! [X53,X12,X32,X1] :
( c_in(X12,X53,X1)
| ~ c_in(X53,X32,tc_set(X1))
| ~ c_in(X12,c_Inter(X32,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_514])]) ).
fof(f5195,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(c_Inter(X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X4,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| ~ c_in(X5,X1,tc_set(tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))))
| c_in(c_Pair(c_Main_OdprodE__1(X0,c_Inter(X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X4,X2,X3),c_Main_OdprodE__3(X0,c_Inter(X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) )
| ~ spl0_514
| ~ spl0_616 ),
inference(resolution,[],[f5140,f4094]) ).
fof(f4094,plain,
( ! [X1,X53,X12,X32] :
( ~ c_in(X12,c_Inter(X32,X1),X1)
| ~ c_in(X53,X32,tc_set(X1))
| c_in(X12,X53,X1) )
| ~ spl0_514 ),
inference(avatar_component_clause,[],[f4093]) ).
fof(f48584,plain,
( spl0_1336
| ~ spl0_689
| ~ spl0_800 ),
inference(avatar_split_clause,[],[f9487,f8878,f6205,f48582]) ).
fof(f48582,plain,
( spl0_1336
<=> ! [X0] : c_lessequals(X0,c_Message_Oanalz(c_Message_Oanalz(c_Message_Oanalz(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)))),tc_set(tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1336])]) ).
fof(f6205,plain,
( spl0_689
<=> ! [X0,X1] :
( c_lessequals(X0,c_Message_Oanalz(X1),tc_set(tc_Message_Omsg))
| ~ c_in(c_Main_OsubsetI__1(X0,c_Message_Oanalz(X1),tc_Message_Omsg),X1,tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_689])]) ).
fof(f9487,plain,
( ! [X0] : c_lessequals(X0,c_Message_Oanalz(c_Message_Oanalz(c_Message_Oanalz(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)))),tc_set(tc_Message_Omsg))
| ~ spl0_689
| ~ spl0_800 ),
inference(resolution,[],[f8879,f6206]) ).
fof(f6206,plain,
( ! [X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_Message_Oanalz(X1),tc_Message_Omsg),X1,tc_Message_Omsg)
| c_lessequals(X0,c_Message_Oanalz(X1),tc_set(tc_Message_Omsg)) )
| ~ spl0_689 ),
inference(avatar_component_clause,[],[f6205]) ).
fof(f48580,plain,
( spl0_1335
| ~ spl0_514
| ~ spl0_615 ),
inference(avatar_split_clause,[],[f5165,f5135,f4093,f48578]) ).
fof(f48578,plain,
( spl0_1335
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,c_Inter(X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| ~ c_in(X5,X2,tc_set(tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))))
| c_in(c_Pair(c_Main_OdprodE__2(X0,X1,c_Inter(X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X3,X4),c_Main_OdprodE__4(X0,X1,c_Inter(X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1335])]) ).
fof(f5165,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,c_Inter(X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| ~ c_in(X5,X2,tc_set(tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))))
| c_in(c_Pair(c_Main_OdprodE__2(X0,X1,c_Inter(X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X3,X4),c_Main_OdprodE__4(X0,X1,c_Inter(X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) )
| ~ spl0_514
| ~ spl0_615 ),
inference(resolution,[],[f5136,f4094]) ).
fof(f48236,plain,
( spl0_1334
| ~ spl0_535
| ~ spl0_616 ),
inference(avatar_split_clause,[],[f5187,f5139,f4293,f48234]) ).
fof(f48234,plain,
( spl0_1334
<=> ! [X5,X4,X2,X0,X6,X3,X1] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(c_Relation_OImage(X1,X2,X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))),X6,X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
| c_in(c_Main_OImageE__1(X2,c_Pair(c_Main_OdprodE__1(X0,c_Relation_OImage(X1,X2,X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))),X6,X4,X5),c_Main_OdprodE__3(X0,c_Relation_OImage(X1,X2,X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))),X6,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X1,X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))),X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1334])]) ).
fof(f4293,plain,
( spl0_535
<=> ! [X12,X5,X27,X2,X1] :
( ~ c_in(X27,c_Relation_OImage(X5,X12,X2,X1),X1)
| c_in(c_Main_OImageE__1(X12,X27,X5,X2,X1),X12,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_535])]) ).
fof(f5187,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(c_Relation_OImage(X1,X2,X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))),X6,X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
| c_in(c_Main_OImageE__1(X2,c_Pair(c_Main_OdprodE__1(X0,c_Relation_OImage(X1,X2,X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))),X6,X4,X5),c_Main_OdprodE__3(X0,c_Relation_OImage(X1,X2,X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))),X6,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X1,X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))),X2,X3) )
| ~ spl0_535
| ~ spl0_616 ),
inference(resolution,[],[f5140,f4294]) ).
fof(f4294,plain,
( ! [X2,X1,X27,X5,X12] :
( ~ c_in(X27,c_Relation_OImage(X5,X12,X2,X1),X1)
| c_in(c_Main_OImageE__1(X12,X27,X5,X2,X1),X12,X2) )
| ~ spl0_535 ),
inference(avatar_component_clause,[],[f4293]) ).
fof(f48232,plain,
( spl0_1333
| ~ spl0_535
| ~ spl0_615 ),
inference(avatar_split_clause,[],[f5157,f5135,f4293,f48230]) ).
fof(f48230,plain,
( spl0_1333
<=> ! [X5,X4,X2,X0,X6,X3,X1] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,c_Relation_OImage(X2,X3,X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X5,X6)),tc_set(tc_Datatype__Universe_Onode(X5,X6)))),X5,X6),tc_prod(tc_set(tc_Datatype__Universe_Onode(X5,X6)),tc_set(tc_Datatype__Universe_Onode(X5,X6))))
| c_in(c_Main_OImageE__1(X3,c_Pair(c_Main_OdprodE__2(X0,X1,c_Relation_OImage(X2,X3,X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X5,X6)),tc_set(tc_Datatype__Universe_Onode(X5,X6)))),X5,X6),c_Main_OdprodE__4(X0,X1,c_Relation_OImage(X2,X3,X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X5,X6)),tc_set(tc_Datatype__Universe_Onode(X5,X6)))),X5,X6),tc_set(tc_Datatype__Universe_Onode(X5,X6)),tc_set(tc_Datatype__Universe_Onode(X5,X6))),X2,X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X5,X6)),tc_set(tc_Datatype__Universe_Onode(X5,X6)))),X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1333])]) ).
fof(f5157,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,c_Relation_OImage(X2,X3,X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X5,X6)),tc_set(tc_Datatype__Universe_Onode(X5,X6)))),X5,X6),tc_prod(tc_set(tc_Datatype__Universe_Onode(X5,X6)),tc_set(tc_Datatype__Universe_Onode(X5,X6))))
| c_in(c_Main_OImageE__1(X3,c_Pair(c_Main_OdprodE__2(X0,X1,c_Relation_OImage(X2,X3,X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X5,X6)),tc_set(tc_Datatype__Universe_Onode(X5,X6)))),X5,X6),c_Main_OdprodE__4(X0,X1,c_Relation_OImage(X2,X3,X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X5,X6)),tc_set(tc_Datatype__Universe_Onode(X5,X6)))),X5,X6),tc_set(tc_Datatype__Universe_Onode(X5,X6)),tc_set(tc_Datatype__Universe_Onode(X5,X6))),X2,X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X5,X6)),tc_set(tc_Datatype__Universe_Onode(X5,X6)))),X3,X4) )
| ~ spl0_535
| ~ spl0_615 ),
inference(resolution,[],[f5136,f4294]) ).
fof(f48148,plain,
( spl0_1332
| ~ spl0_688
| ~ spl0_800 ),
inference(avatar_split_clause,[],[f9486,f8878,f6201,f48146]) ).
fof(f48146,plain,
( spl0_1332
<=> ! [X0] : c_lessequals(X0,c_Message_Osynth(c_Message_Oanalz(c_Message_Oanalz(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)))),tc_set(tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1332])]) ).
fof(f6201,plain,
( spl0_688
<=> ! [X0,X1] :
( c_lessequals(X0,c_Message_Osynth(X1),tc_set(tc_Message_Omsg))
| ~ c_in(c_Main_OsubsetI__1(X0,c_Message_Osynth(X1),tc_Message_Omsg),X1,tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_688])]) ).
fof(f9486,plain,
( ! [X0] : c_lessequals(X0,c_Message_Osynth(c_Message_Oanalz(c_Message_Oanalz(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)))),tc_set(tc_Message_Omsg))
| ~ spl0_688
| ~ spl0_800 ),
inference(resolution,[],[f8879,f6202]) ).
fof(f6202,plain,
( ! [X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_Message_Osynth(X1),tc_Message_Omsg),X1,tc_Message_Omsg)
| c_lessequals(X0,c_Message_Osynth(X1),tc_set(tc_Message_Omsg)) )
| ~ spl0_688 ),
inference(avatar_component_clause,[],[f6201]) ).
fof(f48096,plain,
( spl0_1331
| ~ spl0_447
| ~ spl0_616 ),
inference(avatar_split_clause,[],[f5201,f5139,f3669,f48094]) ).
fof(f48094,plain,
( spl0_1331
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(c_SetInterval_OgreaterThan(X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X4,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_less(X1,c_Pair(c_Main_OdprodE__1(X0,c_SetInterval_OgreaterThan(X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X4,X2,X3),c_Main_OdprodE__3(X0,c_SetInterval_OgreaterThan(X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| ~ class_Orderings_Oord(tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1331])]) ).
fof(f3669,plain,
( spl0_447
<=> ! [X50,X16,X1] :
( ~ class_Orderings_Oord(X1)
| c_less(X16,X50,X1)
| ~ c_in(X50,c_SetInterval_OgreaterThan(X16,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_447])]) ).
fof(f5201,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(c_SetInterval_OgreaterThan(X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X4,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_less(X1,c_Pair(c_Main_OdprodE__1(X0,c_SetInterval_OgreaterThan(X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X4,X2,X3),c_Main_OdprodE__3(X0,c_SetInterval_OgreaterThan(X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| ~ class_Orderings_Oord(tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) )
| ~ spl0_447
| ~ spl0_616 ),
inference(resolution,[],[f5140,f3670]) ).
fof(f3670,plain,
( ! [X50,X1,X16] :
( ~ c_in(X50,c_SetInterval_OgreaterThan(X16,X1),X1)
| c_less(X16,X50,X1)
| ~ class_Orderings_Oord(X1) )
| ~ spl0_447 ),
inference(avatar_component_clause,[],[f3669]) ).
fof(f48092,plain,
( spl0_1330
| ~ spl0_441
| ~ spl0_616 ),
inference(avatar_split_clause,[],[f5200,f5139,f3645,f48090]) ).
fof(f48090,plain,
( spl0_1330
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(c_SetInterval_OatLeast(X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X4,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_lessequals(X1,c_Pair(c_Main_OdprodE__1(X0,c_SetInterval_OatLeast(X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X4,X2,X3),c_Main_OdprodE__3(X0,c_SetInterval_OatLeast(X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| ~ class_Orderings_Oord(tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1330])]) ).
fof(f3645,plain,
( spl0_441
<=> ! [X50,X16,X1] :
( ~ class_Orderings_Oord(X1)
| c_lessequals(X16,X50,X1)
| ~ c_in(X50,c_SetInterval_OatLeast(X16,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_441])]) ).
fof(f5200,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(c_SetInterval_OatLeast(X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X4,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_lessequals(X1,c_Pair(c_Main_OdprodE__1(X0,c_SetInterval_OatLeast(X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X4,X2,X3),c_Main_OdprodE__3(X0,c_SetInterval_OatLeast(X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| ~ class_Orderings_Oord(tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) )
| ~ spl0_441
| ~ spl0_616 ),
inference(resolution,[],[f5140,f3646]) ).
fof(f3646,plain,
( ! [X50,X1,X16] :
( ~ c_in(X50,c_SetInterval_OatLeast(X16,X1),X1)
| c_lessequals(X16,X50,X1)
| ~ class_Orderings_Oord(X1) )
| ~ spl0_441 ),
inference(avatar_component_clause,[],[f3645]) ).
fof(f48088,plain,
( spl0_1329
| ~ spl0_450
| ~ spl0_616 ),
inference(avatar_split_clause,[],[f5194,f5139,f3681,f48086]) ).
fof(f48086,plain,
( spl0_1329
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(c_SetInterval_OlessThan(X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X4,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_less(c_Pair(c_Main_OdprodE__1(X0,c_SetInterval_OlessThan(X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X4,X2,X3),c_Main_OdprodE__3(X0,c_SetInterval_OlessThan(X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| ~ class_Orderings_Oord(tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1329])]) ).
fof(f3681,plain,
( spl0_450
<=> ! [X50,X16,X1] :
( ~ class_Orderings_Oord(X1)
| c_less(X50,X16,X1)
| ~ c_in(X50,c_SetInterval_OlessThan(X16,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_450])]) ).
fof(f5194,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(c_SetInterval_OlessThan(X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X4,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_less(c_Pair(c_Main_OdprodE__1(X0,c_SetInterval_OlessThan(X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X4,X2,X3),c_Main_OdprodE__3(X0,c_SetInterval_OlessThan(X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| ~ class_Orderings_Oord(tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) )
| ~ spl0_450
| ~ spl0_616 ),
inference(resolution,[],[f5140,f3682]) ).
fof(f3682,plain,
( ! [X50,X1,X16] :
( ~ c_in(X50,c_SetInterval_OlessThan(X16,X1),X1)
| c_less(X50,X16,X1)
| ~ class_Orderings_Oord(X1) )
| ~ spl0_450 ),
inference(avatar_component_clause,[],[f3681]) ).
fof(f48084,plain,
( spl0_1328
| ~ spl0_444
| ~ spl0_616 ),
inference(avatar_split_clause,[],[f5193,f5139,f3657,f48082]) ).
fof(f48082,plain,
( spl0_1328
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(c_SetInterval_OatMost(X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X4,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_lessequals(c_Pair(c_Main_OdprodE__1(X0,c_SetInterval_OatMost(X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X4,X2,X3),c_Main_OdprodE__3(X0,c_SetInterval_OatMost(X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| ~ class_Orderings_Oord(tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1328])]) ).
fof(f3657,plain,
( spl0_444
<=> ! [X50,X16,X1] :
( ~ class_Orderings_Oord(X1)
| c_lessequals(X50,X16,X1)
| ~ c_in(X50,c_SetInterval_OatMost(X16,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_444])]) ).
fof(f5193,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(c_SetInterval_OatMost(X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X4,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_lessequals(c_Pair(c_Main_OdprodE__1(X0,c_SetInterval_OatMost(X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X4,X2,X3),c_Main_OdprodE__3(X0,c_SetInterval_OatMost(X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| ~ class_Orderings_Oord(tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) )
| ~ spl0_444
| ~ spl0_616 ),
inference(resolution,[],[f5140,f3658]) ).
fof(f3658,plain,
( ! [X50,X1,X16] :
( ~ c_in(X50,c_SetInterval_OatMost(X16,X1),X1)
| c_lessequals(X50,X16,X1)
| ~ class_Orderings_Oord(X1) )
| ~ spl0_444 ),
inference(avatar_component_clause,[],[f3657]) ).
fof(f48080,plain,
( spl0_1327
| ~ spl0_447
| ~ spl0_615 ),
inference(avatar_split_clause,[],[f5171,f5135,f3669,f48078]) ).
fof(f48078,plain,
( spl0_1327
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,c_SetInterval_OgreaterThan(X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_less(X2,c_Pair(c_Main_OdprodE__2(X0,X1,c_SetInterval_OgreaterThan(X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X3,X4),c_Main_OdprodE__4(X0,X1,c_SetInterval_OgreaterThan(X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| ~ class_Orderings_Oord(tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1327])]) ).
fof(f5171,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,c_SetInterval_OgreaterThan(X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_less(X2,c_Pair(c_Main_OdprodE__2(X0,X1,c_SetInterval_OgreaterThan(X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X3,X4),c_Main_OdprodE__4(X0,X1,c_SetInterval_OgreaterThan(X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| ~ class_Orderings_Oord(tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) )
| ~ spl0_447
| ~ spl0_615 ),
inference(resolution,[],[f5136,f3670]) ).
fof(f48076,plain,
( spl0_1326
| ~ spl0_441
| ~ spl0_615 ),
inference(avatar_split_clause,[],[f5170,f5135,f3645,f48074]) ).
fof(f48074,plain,
( spl0_1326
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,c_SetInterval_OatLeast(X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_lessequals(X2,c_Pair(c_Main_OdprodE__2(X0,X1,c_SetInterval_OatLeast(X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X3,X4),c_Main_OdprodE__4(X0,X1,c_SetInterval_OatLeast(X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| ~ class_Orderings_Oord(tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1326])]) ).
fof(f5170,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,c_SetInterval_OatLeast(X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_lessequals(X2,c_Pair(c_Main_OdprodE__2(X0,X1,c_SetInterval_OatLeast(X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X3,X4),c_Main_OdprodE__4(X0,X1,c_SetInterval_OatLeast(X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| ~ class_Orderings_Oord(tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) )
| ~ spl0_441
| ~ spl0_615 ),
inference(resolution,[],[f5136,f3646]) ).
fof(f48072,plain,
( spl0_1325
| ~ spl0_450
| ~ spl0_615 ),
inference(avatar_split_clause,[],[f5164,f5135,f3681,f48070]) ).
fof(f48070,plain,
( spl0_1325
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,c_SetInterval_OlessThan(X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_less(c_Pair(c_Main_OdprodE__2(X0,X1,c_SetInterval_OlessThan(X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X3,X4),c_Main_OdprodE__4(X0,X1,c_SetInterval_OlessThan(X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| ~ class_Orderings_Oord(tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1325])]) ).
fof(f5164,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,c_SetInterval_OlessThan(X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_less(c_Pair(c_Main_OdprodE__2(X0,X1,c_SetInterval_OlessThan(X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X3,X4),c_Main_OdprodE__4(X0,X1,c_SetInterval_OlessThan(X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| ~ class_Orderings_Oord(tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) )
| ~ spl0_450
| ~ spl0_615 ),
inference(resolution,[],[f5136,f3682]) ).
fof(f48068,plain,
( spl0_1324
| ~ spl0_690
| ~ spl0_799 ),
inference(avatar_split_clause,[],[f9423,f8655,f6209,f48066]) ).
fof(f48066,plain,
( spl0_1324
<=> ! [X0] : c_lessequals(X0,c_Message_Oparts(c_Message_Oparts(c_Message_Oanalz(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)))),tc_set(tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1324])]) ).
fof(f8655,plain,
( spl0_799
<=> ! [X0] : c_in(X0,c_Message_Oparts(c_Message_Oanalz(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg))),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_799])]) ).
fof(f9423,plain,
( ! [X0] : c_lessequals(X0,c_Message_Oparts(c_Message_Oparts(c_Message_Oanalz(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)))),tc_set(tc_Message_Omsg))
| ~ spl0_690
| ~ spl0_799 ),
inference(resolution,[],[f8656,f6210]) ).
fof(f8656,plain,
( ! [X0] : c_in(X0,c_Message_Oparts(c_Message_Oanalz(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg))),tc_Message_Omsg)
| ~ spl0_799 ),
inference(avatar_component_clause,[],[f8655]) ).
fof(f48064,plain,
( spl0_1323
| ~ spl0_444
| ~ spl0_615 ),
inference(avatar_split_clause,[],[f5163,f5135,f3657,f48062]) ).
fof(f48062,plain,
( spl0_1323
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,c_SetInterval_OatMost(X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_lessequals(c_Pair(c_Main_OdprodE__2(X0,X1,c_SetInterval_OatMost(X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X3,X4),c_Main_OdprodE__4(X0,X1,c_SetInterval_OatMost(X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| ~ class_Orderings_Oord(tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1323])]) ).
fof(f5163,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,c_SetInterval_OatMost(X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_lessequals(c_Pair(c_Main_OdprodE__2(X0,X1,c_SetInterval_OatMost(X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X3,X4),c_Main_OdprodE__4(X0,X1,c_SetInterval_OatMost(X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| ~ class_Orderings_Oord(tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) )
| ~ spl0_444
| ~ spl0_615 ),
inference(resolution,[],[f5136,f3658]) ).
fof(f47812,plain,
( spl0_1322
| ~ spl0_571
| ~ spl0_606 ),
inference(avatar_split_clause,[],[f5037,f4978,f4561,f47810]) ).
fof(f47810,plain,
( spl0_1322
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_Orel__comp(X1,c_Relation_Odiag(X2,X3),X3,X4,X3),tc_prod(X3,X4))
| c_Pair(c_Main_Orel__compE__1(X1,c_Relation_Odiag(X2,X3),X0,X3,X4,X3),c_Main_Orel__compE__2(X1,c_Relation_Odiag(X2,X3),X0,X3,X4,X3),X3,X3) = c_Pair(c_Main_OdiagE__1(X2,c_Pair(c_Main_Orel__compE__1(X1,c_Relation_Odiag(X2,X3),X0,X3,X4,X3),c_Main_Orel__compE__2(X1,c_Relation_Odiag(X2,X3),X0,X3,X4,X3),X3,X3),X3),c_Main_OdiagE__1(X2,c_Pair(c_Main_Orel__compE__1(X1,c_Relation_Odiag(X2,X3),X0,X3,X4,X3),c_Main_Orel__compE__2(X1,c_Relation_Odiag(X2,X3),X0,X3,X4,X3),X3,X3),X3),X3,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1322])]) ).
fof(f5037,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Relation_Orel__comp(X1,c_Relation_Odiag(X2,X3),X3,X4,X3),tc_prod(X3,X4))
| c_Pair(c_Main_Orel__compE__1(X1,c_Relation_Odiag(X2,X3),X0,X3,X4,X3),c_Main_Orel__compE__2(X1,c_Relation_Odiag(X2,X3),X0,X3,X4,X3),X3,X3) = c_Pair(c_Main_OdiagE__1(X2,c_Pair(c_Main_Orel__compE__1(X1,c_Relation_Odiag(X2,X3),X0,X3,X4,X3),c_Main_Orel__compE__2(X1,c_Relation_Odiag(X2,X3),X0,X3,X4,X3),X3,X3),X3),c_Main_OdiagE__1(X2,c_Pair(c_Main_Orel__compE__1(X1,c_Relation_Odiag(X2,X3),X0,X3,X4,X3),c_Main_Orel__compE__2(X1,c_Relation_Odiag(X2,X3),X0,X3,X4,X3),X3,X3),X3),X3,X3) )
| ~ spl0_571
| ~ spl0_606 ),
inference(resolution,[],[f4979,f4562]) ).
fof(f47808,plain,
( spl0_1321
| ~ spl0_571
| ~ spl0_605 ),
inference(avatar_split_clause,[],[f5007,f4974,f4561,f47806]) ).
fof(f47806,plain,
( spl0_1321
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_Orel__comp(c_Relation_Odiag(X1,X2),X3,X2,X2,X4),tc_prod(X4,X2))
| c_Pair(c_Main_Orel__compE__2(c_Relation_Odiag(X1,X2),X3,X0,X2,X2,X4),c_Main_Orel__compE__3(c_Relation_Odiag(X1,X2),X3,X0,X2,X2,X4),X2,X2) = c_Pair(c_Main_OdiagE__1(X1,c_Pair(c_Main_Orel__compE__2(c_Relation_Odiag(X1,X2),X3,X0,X2,X2,X4),c_Main_Orel__compE__3(c_Relation_Odiag(X1,X2),X3,X0,X2,X2,X4),X2,X2),X2),c_Main_OdiagE__1(X1,c_Pair(c_Main_Orel__compE__2(c_Relation_Odiag(X1,X2),X3,X0,X2,X2,X4),c_Main_Orel__compE__3(c_Relation_Odiag(X1,X2),X3,X0,X2,X2,X4),X2,X2),X2),X2,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1321])]) ).
fof(f5007,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Relation_Orel__comp(c_Relation_Odiag(X1,X2),X3,X2,X2,X4),tc_prod(X4,X2))
| c_Pair(c_Main_Orel__compE__2(c_Relation_Odiag(X1,X2),X3,X0,X2,X2,X4),c_Main_Orel__compE__3(c_Relation_Odiag(X1,X2),X3,X0,X2,X2,X4),X2,X2) = c_Pair(c_Main_OdiagE__1(X1,c_Pair(c_Main_Orel__compE__2(c_Relation_Odiag(X1,X2),X3,X0,X2,X2,X4),c_Main_Orel__compE__3(c_Relation_Odiag(X1,X2),X3,X0,X2,X2,X4),X2,X2),X2),c_Main_OdiagE__1(X1,c_Pair(c_Main_Orel__compE__2(c_Relation_Odiag(X1,X2),X3,X0,X2,X2,X4),c_Main_Orel__compE__3(c_Relation_Odiag(X1,X2),X3,X0,X2,X2,X4),X2,X2),X2),X2,X2) )
| ~ spl0_571
| ~ spl0_605 ),
inference(resolution,[],[f4975,f4562]) ).
fof(f47382,plain,
( spl0_1320
| ~ spl0_453
| ~ spl0_616 ),
inference(avatar_split_clause,[],[f5198,f5139,f3693,f47380]) ).
fof(f47380,plain,
( spl0_1320
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(c_minus(X1,X2,tc_set(tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))),X5,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| ~ c_in(c_Pair(c_Main_OdprodE__1(X0,c_minus(X1,X2,tc_set(tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))),X5,X3,X4),c_Main_OdprodE__3(X0,c_minus(X1,X2,tc_set(tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1320])]) ).
fof(f3693,plain,
( spl0_453
<=> ! [X4,X13,X12,X1] :
( ~ c_in(X4,X13,X1)
| ~ c_in(X4,c_minus(X12,X13,tc_set(X1)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_453])]) ).
fof(f5198,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(c_minus(X1,X2,tc_set(tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))),X5,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| ~ c_in(c_Pair(c_Main_OdprodE__1(X0,c_minus(X1,X2,tc_set(tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))),X5,X3,X4),c_Main_OdprodE__3(X0,c_minus(X1,X2,tc_set(tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) )
| ~ spl0_453
| ~ spl0_616 ),
inference(resolution,[],[f5140,f3694]) ).
fof(f3694,plain,
( ! [X1,X4,X12,X13] :
( ~ c_in(X4,c_minus(X12,X13,tc_set(X1)),X1)
| ~ c_in(X4,X13,X1) )
| ~ spl0_453 ),
inference(avatar_component_clause,[],[f3693]) ).
fof(f47378,plain,
( spl0_1319
| ~ spl0_689
| ~ spl0_799 ),
inference(avatar_split_clause,[],[f9422,f8655,f6205,f47376]) ).
fof(f47376,plain,
( spl0_1319
<=> ! [X0] : c_lessequals(X0,c_Message_Oanalz(c_Message_Oparts(c_Message_Oanalz(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)))),tc_set(tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1319])]) ).
fof(f9422,plain,
( ! [X0] : c_lessequals(X0,c_Message_Oanalz(c_Message_Oparts(c_Message_Oanalz(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)))),tc_set(tc_Message_Omsg))
| ~ spl0_689
| ~ spl0_799 ),
inference(resolution,[],[f8656,f6206]) ).
fof(f47374,plain,
( spl0_1318
| ~ spl0_454
| ~ spl0_616 ),
inference(avatar_split_clause,[],[f5197,f5139,f3697,f47372]) ).
fof(f47372,plain,
( spl0_1318
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(c_minus(X1,X2,tc_set(tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))),X5,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_in(c_Pair(c_Main_OdprodE__1(X0,c_minus(X1,X2,tc_set(tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))),X5,X3,X4),c_Main_OdprodE__3(X0,c_minus(X1,X2,tc_set(tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1318])]) ).
fof(f3697,plain,
( spl0_454
<=> ! [X4,X13,X12,X1] :
( c_in(X4,X12,X1)
| ~ c_in(X4,c_minus(X12,X13,tc_set(X1)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_454])]) ).
fof(f5197,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(c_minus(X1,X2,tc_set(tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))),X5,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_in(c_Pair(c_Main_OdprodE__1(X0,c_minus(X1,X2,tc_set(tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))),X5,X3,X4),c_Main_OdprodE__3(X0,c_minus(X1,X2,tc_set(tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) )
| ~ spl0_454
| ~ spl0_616 ),
inference(resolution,[],[f5140,f3698]) ).
fof(f3698,plain,
( ! [X1,X4,X12,X13] :
( ~ c_in(X4,c_minus(X12,X13,tc_set(X1)),X1)
| c_in(X4,X12,X1) )
| ~ spl0_454 ),
inference(avatar_component_clause,[],[f3697]) ).
fof(f47370,plain,
( spl0_1317
| ~ spl0_453
| ~ spl0_615 ),
inference(avatar_split_clause,[],[f5168,f5135,f3693,f47368]) ).
fof(f47368,plain,
( spl0_1317
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,c_minus(X2,X3,tc_set(tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))),X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
| ~ c_in(c_Pair(c_Main_OdprodE__2(X0,X1,c_minus(X2,X3,tc_set(tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))),X4,X5),c_Main_OdprodE__4(X0,X1,c_minus(X2,X3,tc_set(tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1317])]) ).
fof(f5168,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,c_minus(X2,X3,tc_set(tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))),X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
| ~ c_in(c_Pair(c_Main_OdprodE__2(X0,X1,c_minus(X2,X3,tc_set(tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))),X4,X5),c_Main_OdprodE__4(X0,X1,c_minus(X2,X3,tc_set(tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))) )
| ~ spl0_453
| ~ spl0_615 ),
inference(resolution,[],[f5136,f3694]) ).
fof(f47366,plain,
( spl0_1316
| ~ spl0_454
| ~ spl0_615 ),
inference(avatar_split_clause,[],[f5167,f5135,f3697,f47364]) ).
fof(f47364,plain,
( spl0_1316
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,c_minus(X2,X3,tc_set(tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))),X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
| c_in(c_Pair(c_Main_OdprodE__2(X0,X1,c_minus(X2,X3,tc_set(tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))),X4,X5),c_Main_OdprodE__4(X0,X1,c_minus(X2,X3,tc_set(tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1316])]) ).
fof(f5167,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,c_minus(X2,X3,tc_set(tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))),X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
| c_in(c_Pair(c_Main_OdprodE__2(X0,X1,c_minus(X2,X3,tc_set(tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))),X4,X5),c_Main_OdprodE__4(X0,X1,c_minus(X2,X3,tc_set(tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))) )
| ~ spl0_454
| ~ spl0_615 ),
inference(resolution,[],[f5136,f3698]) ).
fof(f46500,plain,
( spl0_1315
| ~ spl0_688
| ~ spl0_799 ),
inference(avatar_split_clause,[],[f9421,f8655,f6201,f46498]) ).
fof(f46498,plain,
( spl0_1315
<=> ! [X0] : c_lessequals(X0,c_Message_Osynth(c_Message_Oparts(c_Message_Oanalz(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)))),tc_set(tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1315])]) ).
fof(f9421,plain,
( ! [X0] : c_lessequals(X0,c_Message_Osynth(c_Message_Oparts(c_Message_Oanalz(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)))),tc_set(tc_Message_Omsg))
| ~ spl0_688
| ~ spl0_799 ),
inference(resolution,[],[f8656,f6202]) ).
fof(f46496,plain,
( spl0_1314
| ~ spl0_410
| ~ spl0_616 ),
inference(avatar_split_clause,[],[f5185,f5139,f3501,f46494]) ).
fof(f46494,plain,
( spl0_1314
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(c_uminus(X1,tc_set(tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))),X4,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| ~ c_in(c_Pair(c_Main_OdprodE__1(X0,c_uminus(X1,tc_set(tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))),X4,X2,X3),c_Main_OdprodE__3(X0,c_uminus(X1,tc_set(tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1314])]) ).
fof(f3501,plain,
( spl0_410
<=> ! [X12,X1,X4] :
( ~ c_in(X4,X12,X1)
| ~ c_in(X4,c_uminus(X12,tc_set(X1)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_410])]) ).
fof(f5185,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(c_uminus(X1,tc_set(tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))),X4,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| ~ c_in(c_Pair(c_Main_OdprodE__1(X0,c_uminus(X1,tc_set(tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))),X4,X2,X3),c_Main_OdprodE__3(X0,c_uminus(X1,tc_set(tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) )
| ~ spl0_410
| ~ spl0_616 ),
inference(resolution,[],[f5140,f3502]) ).
fof(f3502,plain,
( ! [X1,X4,X12] :
( ~ c_in(X4,c_uminus(X12,tc_set(X1)),X1)
| ~ c_in(X4,X12,X1) )
| ~ spl0_410 ),
inference(avatar_component_clause,[],[f3501]) ).
fof(f46492,plain,
( spl0_1313
| ~ spl0_413
| ~ spl0_616 ),
inference(avatar_split_clause,[],[f5183,f5139,f3513,f46490]) ).
fof(f46490,plain,
( spl0_1313
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(c_inter(X1,X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X5,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_in(c_Pair(c_Main_OdprodE__1(X0,c_inter(X1,X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X5,X3,X4),c_Main_OdprodE__3(X0,c_inter(X1,X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1313])]) ).
fof(f3513,plain,
( spl0_413
<=> ! [X4,X13,X12,X1] :
( c_in(X4,X13,X1)
| ~ c_in(X4,c_inter(X12,X13,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_413])]) ).
fof(f5183,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(c_inter(X1,X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X5,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_in(c_Pair(c_Main_OdprodE__1(X0,c_inter(X1,X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X5,X3,X4),c_Main_OdprodE__3(X0,c_inter(X1,X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) )
| ~ spl0_413
| ~ spl0_616 ),
inference(resolution,[],[f5140,f3514]) ).
fof(f3514,plain,
( ! [X1,X4,X12,X13] :
( ~ c_in(X4,c_inter(X12,X13,X1),X1)
| c_in(X4,X13,X1) )
| ~ spl0_413 ),
inference(avatar_component_clause,[],[f3513]) ).
fof(f46488,plain,
( spl0_1312
| ~ spl0_414
| ~ spl0_616 ),
inference(avatar_split_clause,[],[f5182,f5139,f3517,f46486]) ).
fof(f46486,plain,
( spl0_1312
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(c_inter(X1,X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X5,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_in(c_Pair(c_Main_OdprodE__1(X0,c_inter(X1,X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X5,X3,X4),c_Main_OdprodE__3(X0,c_inter(X1,X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1312])]) ).
fof(f3517,plain,
( spl0_414
<=> ! [X4,X13,X12,X1] :
( c_in(X4,X12,X1)
| ~ c_in(X4,c_inter(X12,X13,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_414])]) ).
fof(f5182,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(c_inter(X1,X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X5,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_in(c_Pair(c_Main_OdprodE__1(X0,c_inter(X1,X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X5,X3,X4),c_Main_OdprodE__3(X0,c_inter(X1,X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) )
| ~ spl0_414
| ~ spl0_616 ),
inference(resolution,[],[f5140,f3518]) ).
fof(f3518,plain,
( ! [X1,X4,X12,X13] :
( ~ c_in(X4,c_inter(X12,X13,X1),X1)
| c_in(X4,X12,X1) )
| ~ spl0_414 ),
inference(avatar_component_clause,[],[f3517]) ).
fof(f46484,plain,
( spl0_1311
| ~ spl0_410
| ~ spl0_615 ),
inference(avatar_split_clause,[],[f5155,f5135,f3501,f46482]) ).
fof(f46482,plain,
( spl0_1311
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,c_uminus(X2,tc_set(tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))),X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| ~ c_in(c_Pair(c_Main_OdprodE__2(X0,X1,c_uminus(X2,tc_set(tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))),X3,X4),c_Main_OdprodE__4(X0,X1,c_uminus(X2,tc_set(tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1311])]) ).
fof(f5155,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,c_uminus(X2,tc_set(tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))),X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| ~ c_in(c_Pair(c_Main_OdprodE__2(X0,X1,c_uminus(X2,tc_set(tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))),X3,X4),c_Main_OdprodE__4(X0,X1,c_uminus(X2,tc_set(tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) )
| ~ spl0_410
| ~ spl0_615 ),
inference(resolution,[],[f5136,f3502]) ).
fof(f46480,plain,
( spl0_1310
| ~ spl0_413
| ~ spl0_615 ),
inference(avatar_split_clause,[],[f5153,f5135,f3513,f46478]) ).
fof(f46478,plain,
( spl0_1310
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,c_inter(X2,X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))),X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
| c_in(c_Pair(c_Main_OdprodE__2(X0,X1,c_inter(X2,X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))),X4,X5),c_Main_OdprodE__4(X0,X1,c_inter(X2,X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1310])]) ).
fof(f5153,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,c_inter(X2,X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))),X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
| c_in(c_Pair(c_Main_OdprodE__2(X0,X1,c_inter(X2,X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))),X4,X5),c_Main_OdprodE__4(X0,X1,c_inter(X2,X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))) )
| ~ spl0_413
| ~ spl0_615 ),
inference(resolution,[],[f5136,f3514]) ).
fof(f46476,plain,
( spl0_1309
| ~ spl0_414
| ~ spl0_615 ),
inference(avatar_split_clause,[],[f5152,f5135,f3517,f46474]) ).
fof(f46474,plain,
( spl0_1309
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,c_inter(X2,X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))),X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
| c_in(c_Pair(c_Main_OdprodE__2(X0,X1,c_inter(X2,X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))),X4,X5),c_Main_OdprodE__4(X0,X1,c_inter(X2,X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1309])]) ).
fof(f5152,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,c_inter(X2,X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))),X4,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))))
| c_in(c_Pair(c_Main_OdprodE__2(X0,X1,c_inter(X2,X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))),X4,X5),c_Main_OdprodE__4(X0,X1,c_inter(X2,X3,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X4,X5)),tc_set(tc_Datatype__Universe_Onode(X4,X5)))) )
| ~ spl0_414
| ~ spl0_615 ),
inference(resolution,[],[f5136,f3518]) ).
fof(f46472,plain,
( spl0_1308
| ~ spl0_584
| ~ spl0_590 ),
inference(avatar_split_clause,[],[f4860,f4831,f4790,f46470]) ).
fof(f46470,plain,
( spl0_1308
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_Oconverse(c_Relation_Oconverse(X1,X2,X3),X3,X2),tc_prod(X2,X3))
| c_Pair(c_Main_OconverseE__1(c_Relation_Oconverse(X1,X2,X3),X0,X3,X2),c_Main_OconverseE__2(c_Relation_Oconverse(X1,X2,X3),X0,X3,X2),X3,X2) = c_Pair(c_Main_OconverseE__2(X1,c_Pair(c_Main_OconverseE__1(c_Relation_Oconverse(X1,X2,X3),X0,X3,X2),c_Main_OconverseE__2(c_Relation_Oconverse(X1,X2,X3),X0,X3,X2),X3,X2),X2,X3),c_Main_OconverseE__1(X1,c_Pair(c_Main_OconverseE__1(c_Relation_Oconverse(X1,X2,X3),X0,X3,X2),c_Main_OconverseE__2(c_Relation_Oconverse(X1,X2,X3),X0,X3,X2),X3,X2),X2,X3),X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1308])]) ).
fof(f4860,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Relation_Oconverse(c_Relation_Oconverse(X1,X2,X3),X3,X2),tc_prod(X2,X3))
| c_Pair(c_Main_OconverseE__1(c_Relation_Oconverse(X1,X2,X3),X0,X3,X2),c_Main_OconverseE__2(c_Relation_Oconverse(X1,X2,X3),X0,X3,X2),X3,X2) = c_Pair(c_Main_OconverseE__2(X1,c_Pair(c_Main_OconverseE__1(c_Relation_Oconverse(X1,X2,X3),X0,X3,X2),c_Main_OconverseE__2(c_Relation_Oconverse(X1,X2,X3),X0,X3,X2),X3,X2),X2,X3),c_Main_OconverseE__1(X1,c_Pair(c_Main_OconverseE__1(c_Relation_Oconverse(X1,X2,X3),X0,X3,X2),c_Main_OconverseE__2(c_Relation_Oconverse(X1,X2,X3),X0,X3,X2),X3,X2),X2,X3),X3,X2) )
| ~ spl0_584
| ~ spl0_590 ),
inference(resolution,[],[f4832,f4791]) ).
fof(f45651,plain,
( spl0_1307
| ~ spl0_690
| ~ spl0_793 ),
inference(avatar_split_clause,[],[f9292,f8407,f6209,f45649]) ).
fof(f45649,plain,
( spl0_1307
<=> ! [X0] : c_lessequals(X0,c_Message_Oparts(c_Message_Oanalz(c_Message_Oparts(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)))),tc_set(tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1307])]) ).
fof(f8407,plain,
( spl0_793
<=> ! [X0] : c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg))),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_793])]) ).
fof(f9292,plain,
( ! [X0] : c_lessequals(X0,c_Message_Oparts(c_Message_Oanalz(c_Message_Oparts(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)))),tc_set(tc_Message_Omsg))
| ~ spl0_690
| ~ spl0_793 ),
inference(resolution,[],[f8408,f6210]) ).
fof(f8408,plain,
( ! [X0] : c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg))),tc_Message_Omsg)
| ~ spl0_793 ),
inference(avatar_component_clause,[],[f8407]) ).
fof(f45647,plain,
( spl0_1306
| ~ spl0_577
| ~ spl0_624 ),
inference(avatar_split_clause,[],[f5297,f5293,f4660,f45645]) ).
fof(f45645,plain,
( spl0_1306
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ c_in(c_Pair(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| ~ c_in(c_Pair(X5,X6,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X7,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_in(c_Datatype__Universe_OScons(X1,X6,X2,X3),c_Relation_OImage(c_Datatype__Universe_Odprod(X4,X7,X2,X3),X8,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ c_in(c_Datatype__Universe_OScons(X0,X5,X2,X3),X8,tc_set(tc_Datatype__Universe_Onode(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1306])]) ).
fof(f4660,plain,
( spl0_577
<=> ! [X5,X18,X12,X27,X2,X1] :
( ~ c_in(X18,X12,X1)
| c_in(X27,c_Relation_OImage(X5,X12,X1,X2),X2)
| ~ c_in(c_Pair(X18,X27,X1,X2),X5,tc_prod(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_577])]) ).
fof(f5297,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ c_in(c_Pair(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| ~ c_in(c_Pair(X5,X6,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X7,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_in(c_Datatype__Universe_OScons(X1,X6,X2,X3),c_Relation_OImage(c_Datatype__Universe_Odprod(X4,X7,X2,X3),X8,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ c_in(c_Datatype__Universe_OScons(X0,X5,X2,X3),X8,tc_set(tc_Datatype__Universe_Onode(X2,X3))) )
| ~ spl0_577
| ~ spl0_624 ),
inference(resolution,[],[f5294,f4661]) ).
fof(f4661,plain,
( ! [X2,X18,X1,X27,X5,X12] :
( ~ c_in(c_Pair(X18,X27,X1,X2),X5,tc_prod(X1,X2))
| c_in(X27,c_Relation_OImage(X5,X12,X1,X2),X2)
| ~ c_in(X18,X12,X1) )
| ~ spl0_577 ),
inference(avatar_component_clause,[],[f4660]) ).
fof(f45643,plain,
( spl0_1305
| ~ spl0_515
| ~ spl0_606 ),
inference(avatar_split_clause,[],[f5046,f4978,f4097,f45641]) ).
fof(f45641,plain,
( spl0_1305
<=> ! [X5,X4,X2,X0,X6,X3,X1] :
( ~ c_in(X0,c_Relation_Orel__comp(X1,c_union(X2,X3,tc_prod(X4,X5)),X5,X6,X4),tc_prod(X4,X6))
| c_in(c_Pair(c_Main_Orel__compE__1(X1,c_union(X2,X3,tc_prod(X4,X5)),X0,X5,X6,X4),c_Main_Orel__compE__2(X1,c_union(X2,X3,tc_prod(X4,X5)),X0,X5,X6,X4),X4,X5),X3,tc_prod(X4,X5))
| c_in(c_Pair(c_Main_Orel__compE__1(X1,c_union(X2,X3,tc_prod(X4,X5)),X0,X5,X6,X4),c_Main_Orel__compE__2(X1,c_union(X2,X3,tc_prod(X4,X5)),X0,X5,X6,X4),X4,X5),X2,tc_prod(X4,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1305])]) ).
fof(f5046,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_in(X0,c_Relation_Orel__comp(X1,c_union(X2,X3,tc_prod(X4,X5)),X5,X6,X4),tc_prod(X4,X6))
| c_in(c_Pair(c_Main_Orel__compE__1(X1,c_union(X2,X3,tc_prod(X4,X5)),X0,X5,X6,X4),c_Main_Orel__compE__2(X1,c_union(X2,X3,tc_prod(X4,X5)),X0,X5,X6,X4),X4,X5),X3,tc_prod(X4,X5))
| c_in(c_Pair(c_Main_Orel__compE__1(X1,c_union(X2,X3,tc_prod(X4,X5)),X0,X5,X6,X4),c_Main_Orel__compE__2(X1,c_union(X2,X3,tc_prod(X4,X5)),X0,X5,X6,X4),X4,X5),X2,tc_prod(X4,X5)) )
| ~ spl0_515
| ~ spl0_606 ),
inference(resolution,[],[f4979,f4098]) ).
fof(f45639,plain,
( spl0_1304
| ~ spl0_515
| ~ spl0_605 ),
inference(avatar_split_clause,[],[f5016,f4974,f4097,f45637]) ).
fof(f45637,plain,
( spl0_1304
<=> ! [X5,X4,X2,X0,X6,X3,X1] :
( ~ c_in(X0,c_Relation_Orel__comp(c_union(X1,X2,tc_prod(X3,X4)),X5,X3,X4,X6),tc_prod(X6,X4))
| c_in(c_Pair(c_Main_Orel__compE__2(c_union(X1,X2,tc_prod(X3,X4)),X5,X0,X3,X4,X6),c_Main_Orel__compE__3(c_union(X1,X2,tc_prod(X3,X4)),X5,X0,X3,X4,X6),X3,X4),X2,tc_prod(X3,X4))
| c_in(c_Pair(c_Main_Orel__compE__2(c_union(X1,X2,tc_prod(X3,X4)),X5,X0,X3,X4,X6),c_Main_Orel__compE__3(c_union(X1,X2,tc_prod(X3,X4)),X5,X0,X3,X4,X6),X3,X4),X1,tc_prod(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1304])]) ).
fof(f5016,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_in(X0,c_Relation_Orel__comp(c_union(X1,X2,tc_prod(X3,X4)),X5,X3,X4,X6),tc_prod(X6,X4))
| c_in(c_Pair(c_Main_Orel__compE__2(c_union(X1,X2,tc_prod(X3,X4)),X5,X0,X3,X4,X6),c_Main_Orel__compE__3(c_union(X1,X2,tc_prod(X3,X4)),X5,X0,X3,X4,X6),X3,X4),X2,tc_prod(X3,X4))
| c_in(c_Pair(c_Main_Orel__compE__2(c_union(X1,X2,tc_prod(X3,X4)),X5,X0,X3,X4,X6),c_Main_Orel__compE__3(c_union(X1,X2,tc_prod(X3,X4)),X5,X0,X3,X4,X6),X3,X4),X1,tc_prod(X3,X4)) )
| ~ spl0_515
| ~ spl0_605 ),
inference(resolution,[],[f4975,f4098]) ).
fof(f45410,plain,
( spl0_1303
| ~ spl0_407
| ~ spl0_616 ),
inference(avatar_split_clause,[],[f5196,f5139,f3489,f45408]) ).
fof(f45408,plain,
( spl0_1303
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(c_Datatype_Oo2s(X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X4,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_Datatype_Ooption_OSome(c_Pair(c_Main_OdprodE__1(X0,c_Datatype_Oo2s(X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X4,X2,X3),c_Main_OdprodE__3(X0,c_Datatype_Oo2s(X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1303])]) ).
fof(f3489,plain,
( spl0_407
<=> ! [X0,X1,X40] :
( c_Datatype_Ooption_OSome(X0,X1) = X40
| ~ c_in(X0,c_Datatype_Oo2s(X40,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_407])]) ).
fof(f5196,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(c_Datatype_Oo2s(X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X4,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_Datatype_Ooption_OSome(c_Pair(c_Main_OdprodE__1(X0,c_Datatype_Oo2s(X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X4,X2,X3),c_Main_OdprodE__3(X0,c_Datatype_Oo2s(X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) = X1 )
| ~ spl0_407
| ~ spl0_616 ),
inference(resolution,[],[f5140,f3490]) ).
fof(f3490,plain,
( ! [X40,X0,X1] :
( ~ c_in(X0,c_Datatype_Oo2s(X40,X1),X1)
| c_Datatype_Ooption_OSome(X0,X1) = X40 )
| ~ spl0_407 ),
inference(avatar_component_clause,[],[f3489]) ).
fof(f45406,plain,
( spl0_1302
| ~ spl0_407
| ~ spl0_615 ),
inference(avatar_split_clause,[],[f5166,f5135,f3489,f45404]) ).
fof(f45404,plain,
( spl0_1302
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,c_Datatype_Oo2s(X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_Datatype_Ooption_OSome(c_Pair(c_Main_OdprodE__2(X0,X1,c_Datatype_Oo2s(X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X3,X4),c_Main_OdprodE__4(X0,X1,c_Datatype_Oo2s(X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1302])]) ).
fof(f5166,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,c_Datatype_Oo2s(X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_Datatype_Ooption_OSome(c_Pair(c_Main_OdprodE__2(X0,X1,c_Datatype_Oo2s(X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X3,X4),c_Main_OdprodE__4(X0,X1,c_Datatype_Oo2s(X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) = X2 )
| ~ spl0_407
| ~ spl0_615 ),
inference(resolution,[],[f5136,f3490]) ).
fof(f45402,plain,
( spl0_1301
| ~ spl0_564
| ~ spl0_599 ),
inference(avatar_split_clause,[],[f4930,f4925,f4512,f45400]) ).
fof(f45400,plain,
( spl0_1301
<=> ! [X0,X3,X2,X1] :
( c_Main_Ofinite__Union__1(c_Datatype__Universe_Ousum(X0,X1,X2,X3),tc_Datatype__Universe_Onode(X2,X3)) = c_Datatype__Universe_OIn0(c_Main_OusumE__1(X0,c_Main_Ofinite__Union__1(c_Datatype__Universe_Ousum(X0,X1,X2,X3),tc_Datatype__Universe_Onode(X2,X3)),X2,X3),X2,X3)
| c_Main_Ofinite__Union__1(c_Datatype__Universe_Ousum(X0,X1,X2,X3),tc_Datatype__Universe_Onode(X2,X3)) = c_Datatype__Universe_OIn1(c_Main_OusumE__2(X1,c_Main_Ofinite__Union__1(c_Datatype__Universe_Ousum(X0,X1,X2,X3),tc_Datatype__Universe_Onode(X2,X3)),X2,X3),X2,X3)
| c_in(c_Union(c_Datatype__Universe_Ousum(X0,X1,X2,X3),tc_Datatype__Universe_Onode(X2,X3)),c_Finite__Set_OFinites,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ c_in(c_Datatype__Universe_Ousum(X0,X1,X2,X3),c_Finite__Set_OFinites,tc_set(tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1301])]) ).
fof(f4512,plain,
( spl0_564
<=> ! [X12,X1] :
( ~ c_in(X12,c_Finite__Set_OFinites,tc_set(tc_set(X1)))
| c_in(c_Main_Ofinite__Union__1(X12,X1),X12,tc_set(X1))
| c_in(c_Union(X12,X1),c_Finite__Set_OFinites,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_564])]) ).
fof(f4925,plain,
( spl0_599
<=> ! [X13,X14,X12,X2,X1] :
( c_Datatype__Universe_OIn1(c_Main_OusumE__2(X13,X14,X1,X2),X1,X2) = X14
| c_Datatype__Universe_OIn0(c_Main_OusumE__1(X12,X14,X1,X2),X1,X2) = X14
| ~ c_in(X14,c_Datatype__Universe_Ousum(X12,X13,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_599])]) ).
fof(f4930,plain,
( ! [X2,X3,X0,X1] :
( c_Main_Ofinite__Union__1(c_Datatype__Universe_Ousum(X0,X1,X2,X3),tc_Datatype__Universe_Onode(X2,X3)) = c_Datatype__Universe_OIn0(c_Main_OusumE__1(X0,c_Main_Ofinite__Union__1(c_Datatype__Universe_Ousum(X0,X1,X2,X3),tc_Datatype__Universe_Onode(X2,X3)),X2,X3),X2,X3)
| c_Main_Ofinite__Union__1(c_Datatype__Universe_Ousum(X0,X1,X2,X3),tc_Datatype__Universe_Onode(X2,X3)) = c_Datatype__Universe_OIn1(c_Main_OusumE__2(X1,c_Main_Ofinite__Union__1(c_Datatype__Universe_Ousum(X0,X1,X2,X3),tc_Datatype__Universe_Onode(X2,X3)),X2,X3),X2,X3)
| c_in(c_Union(c_Datatype__Universe_Ousum(X0,X1,X2,X3),tc_Datatype__Universe_Onode(X2,X3)),c_Finite__Set_OFinites,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ c_in(c_Datatype__Universe_Ousum(X0,X1,X2,X3),c_Finite__Set_OFinites,tc_set(tc_set(tc_Datatype__Universe_Onode(X2,X3)))) )
| ~ spl0_564
| ~ spl0_599 ),
inference(resolution,[],[f4926,f4513]) ).
fof(f4513,plain,
( ! [X1,X12] :
( c_in(c_Union(X12,X1),c_Finite__Set_OFinites,tc_set(X1))
| c_in(c_Main_Ofinite__Union__1(X12,X1),X12,tc_set(X1))
| ~ c_in(X12,c_Finite__Set_OFinites,tc_set(tc_set(X1))) )
| ~ spl0_564 ),
inference(avatar_component_clause,[],[f4512]) ).
fof(f4926,plain,
( ! [X2,X1,X14,X12,X13] :
( ~ c_in(X14,c_Datatype__Universe_Ousum(X12,X13,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| c_Datatype__Universe_OIn0(c_Main_OusumE__1(X12,X14,X1,X2),X1,X2) = X14
| c_Datatype__Universe_OIn1(c_Main_OusumE__2(X13,X14,X1,X2),X1,X2) = X14 )
| ~ spl0_599 ),
inference(avatar_component_clause,[],[f4925]) ).
fof(f45233,plain,
( spl0_1300
| ~ spl0_689
| ~ spl0_793 ),
inference(avatar_split_clause,[],[f9291,f8407,f6205,f45231]) ).
fof(f45231,plain,
( spl0_1300
<=> ! [X0] : c_lessequals(X0,c_Message_Oanalz(c_Message_Oanalz(c_Message_Oparts(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)))),tc_set(tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1300])]) ).
fof(f9291,plain,
( ! [X0] : c_lessequals(X0,c_Message_Oanalz(c_Message_Oanalz(c_Message_Oparts(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)))),tc_set(tc_Message_Omsg))
| ~ spl0_689
| ~ spl0_793 ),
inference(resolution,[],[f8408,f6206]) ).
fof(f45066,plain,
( spl0_1299
| ~ spl0_496
| ~ spl0_606 ),
inference(avatar_split_clause,[],[f5028,f4978,f3967,f45064]) ).
fof(f45064,plain,
( spl0_1299
<=> ! [X5,X4,X2,X0,X6,X3,X1] :
( ~ c_in(X0,c_Relation_Orel__comp(X1,c_insert(X2,X3,tc_prod(X4,X5)),X5,X6,X4),tc_prod(X4,X6))
| c_in(c_Pair(c_Main_Orel__compE__1(X1,c_insert(X2,X3,tc_prod(X4,X5)),X0,X5,X6,X4),c_Main_Orel__compE__2(X1,c_insert(X2,X3,tc_prod(X4,X5)),X0,X5,X6,X4),X4,X5),X3,tc_prod(X4,X5))
| c_Pair(c_Main_Orel__compE__1(X1,c_insert(X2,X3,tc_prod(X4,X5)),X0,X5,X6,X4),c_Main_Orel__compE__2(X1,c_insert(X2,X3,tc_prod(X4,X5)),X0,X5,X6,X4),X4,X5) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1299])]) ).
fof(f5028,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_in(X0,c_Relation_Orel__comp(X1,c_insert(X2,X3,tc_prod(X4,X5)),X5,X6,X4),tc_prod(X4,X6))
| c_in(c_Pair(c_Main_Orel__compE__1(X1,c_insert(X2,X3,tc_prod(X4,X5)),X0,X5,X6,X4),c_Main_Orel__compE__2(X1,c_insert(X2,X3,tc_prod(X4,X5)),X0,X5,X6,X4),X4,X5),X3,tc_prod(X4,X5))
| c_Pair(c_Main_Orel__compE__1(X1,c_insert(X2,X3,tc_prod(X4,X5)),X0,X5,X6,X4),c_Main_Orel__compE__2(X1,c_insert(X2,X3,tc_prod(X4,X5)),X0,X5,X6,X4),X4,X5) = X2 )
| ~ spl0_496
| ~ spl0_606 ),
inference(resolution,[],[f4979,f3968]) ).
fof(f45062,plain,
( spl0_1298
| ~ spl0_496
| ~ spl0_605 ),
inference(avatar_split_clause,[],[f4998,f4974,f3967,f45060]) ).
fof(f45060,plain,
( spl0_1298
<=> ! [X5,X4,X2,X0,X6,X3,X1] :
( ~ c_in(X0,c_Relation_Orel__comp(c_insert(X1,X2,tc_prod(X3,X4)),X5,X3,X4,X6),tc_prod(X6,X4))
| c_in(c_Pair(c_Main_Orel__compE__2(c_insert(X1,X2,tc_prod(X3,X4)),X5,X0,X3,X4,X6),c_Main_Orel__compE__3(c_insert(X1,X2,tc_prod(X3,X4)),X5,X0,X3,X4,X6),X3,X4),X2,tc_prod(X3,X4))
| c_Pair(c_Main_Orel__compE__2(c_insert(X1,X2,tc_prod(X3,X4)),X5,X0,X3,X4,X6),c_Main_Orel__compE__3(c_insert(X1,X2,tc_prod(X3,X4)),X5,X0,X3,X4,X6),X3,X4) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1298])]) ).
fof(f4998,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_in(X0,c_Relation_Orel__comp(c_insert(X1,X2,tc_prod(X3,X4)),X5,X3,X4,X6),tc_prod(X6,X4))
| c_in(c_Pair(c_Main_Orel__compE__2(c_insert(X1,X2,tc_prod(X3,X4)),X5,X0,X3,X4,X6),c_Main_Orel__compE__3(c_insert(X1,X2,tc_prod(X3,X4)),X5,X0,X3,X4,X6),X3,X4),X2,tc_prod(X3,X4))
| c_Pair(c_Main_Orel__compE__2(c_insert(X1,X2,tc_prod(X3,X4)),X5,X0,X3,X4,X6),c_Main_Orel__compE__3(c_insert(X1,X2,tc_prod(X3,X4)),X5,X0,X3,X4,X6),X3,X4) = X1 )
| ~ spl0_496
| ~ spl0_605 ),
inference(resolution,[],[f4975,f3968]) ).
fof(f44460,plain,
( spl0_1297
| ~ spl0_611
| ~ spl0_618 ),
inference(avatar_split_clause,[],[f5214,f5207,f5070,f44458]) ).
fof(f44458,plain,
( spl0_1297
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ c_in(c_Pair(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| ~ c_in(c_Pair(X5,c_Datatype__Universe_OIn1(X0,X2,X3),X6,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X7,tc_prod(X6,tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_in(c_Pair(X5,c_Datatype__Universe_OIn1(X1,X2,X3),X6,tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Relation_Orel__comp(c_Datatype__Universe_Odsum(X8,X4,X2,X3),X7,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),tc_prod(X6,tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1297])]) ).
fof(f5214,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ c_in(c_Pair(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| ~ c_in(c_Pair(X5,c_Datatype__Universe_OIn1(X0,X2,X3),X6,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X7,tc_prod(X6,tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_in(c_Pair(X5,c_Datatype__Universe_OIn1(X1,X2,X3),X6,tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Relation_Orel__comp(c_Datatype__Universe_Odsum(X8,X4,X2,X3),X7,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),tc_prod(X6,tc_set(tc_Datatype__Universe_Onode(X2,X3)))) )
| ~ spl0_611
| ~ spl0_618 ),
inference(resolution,[],[f5208,f5071]) ).
fof(f44456,plain,
( spl0_1296
| ~ spl0_611
| ~ spl0_617 ),
inference(avatar_split_clause,[],[f5210,f5203,f5070,f44454]) ).
fof(f44454,plain,
( spl0_1296
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ c_in(c_Pair(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| ~ c_in(c_Pair(X5,c_Datatype__Universe_OIn0(X0,X2,X3),X6,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X7,tc_prod(X6,tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_in(c_Pair(X5,c_Datatype__Universe_OIn0(X1,X2,X3),X6,tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Relation_Orel__comp(c_Datatype__Universe_Odsum(X4,X8,X2,X3),X7,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),tc_prod(X6,tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1296])]) ).
fof(f5210,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ c_in(c_Pair(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| ~ c_in(c_Pair(X5,c_Datatype__Universe_OIn0(X0,X2,X3),X6,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X7,tc_prod(X6,tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_in(c_Pair(X5,c_Datatype__Universe_OIn0(X1,X2,X3),X6,tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Relation_Orel__comp(c_Datatype__Universe_Odsum(X4,X8,X2,X3),X7,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)),X6),tc_prod(X6,tc_set(tc_Datatype__Universe_Onode(X2,X3)))) )
| ~ spl0_611
| ~ spl0_617 ),
inference(resolution,[],[f5204,f5071]) ).
fof(f44452,plain,
( spl0_1295
| ~ spl0_582
| ~ spl0_616 ),
inference(avatar_split_clause,[],[f5177,f5139,f4706,f44450]) ).
fof(f44450,plain,
( spl0_1295
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(c_Relation_Oconverse(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_in(c_Pair(c_Main_OdprodE__3(X0,c_Relation_Oconverse(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X2,X3),c_Main_OdprodE__1(X0,c_Relation_Oconverse(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1295])]) ).
fof(f4706,plain,
( spl0_582
<=> ! [X18,X5,X27,X2,X1] :
( c_in(c_Pair(X27,X18,X2,X1),X5,tc_prod(X2,X1))
| ~ c_in(c_Pair(X18,X27,X1,X2),c_Relation_Oconverse(X5,X2,X1),tc_prod(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_582])]) ).
fof(f5177,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(c_Relation_Oconverse(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_in(c_Pair(c_Main_OdprodE__3(X0,c_Relation_Oconverse(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X2,X3),c_Main_OdprodE__1(X0,c_Relation_Oconverse(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X1,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) )
| ~ spl0_582
| ~ spl0_616 ),
inference(resolution,[],[f5140,f4707]) ).
fof(f4707,plain,
( ! [X2,X18,X1,X27,X5] :
( ~ c_in(c_Pair(X18,X27,X1,X2),c_Relation_Oconverse(X5,X2,X1),tc_prod(X1,X2))
| c_in(c_Pair(X27,X18,X2,X1),X5,tc_prod(X2,X1)) )
| ~ spl0_582 ),
inference(avatar_component_clause,[],[f4706]) ).
fof(f44448,plain,
( spl0_1294
| ~ spl0_688
| ~ spl0_793 ),
inference(avatar_split_clause,[],[f9290,f8407,f6201,f44446]) ).
fof(f44446,plain,
( spl0_1294
<=> ! [X0] : c_lessequals(X0,c_Message_Osynth(c_Message_Oanalz(c_Message_Oparts(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)))),tc_set(tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1294])]) ).
fof(f9290,plain,
( ! [X0] : c_lessequals(X0,c_Message_Osynth(c_Message_Oanalz(c_Message_Oparts(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)))),tc_set(tc_Message_Omsg))
| ~ spl0_688
| ~ spl0_793 ),
inference(resolution,[],[f8408,f6202]) ).
fof(f44444,plain,
( spl0_1293
| ~ spl0_582
| ~ spl0_615 ),
inference(avatar_split_clause,[],[f5147,f5135,f4706,f44442]) ).
fof(f44442,plain,
( spl0_1293
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,c_Relation_Oconverse(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_in(c_Pair(c_Main_OdprodE__4(X0,X1,c_Relation_Oconverse(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),c_Main_OdprodE__2(X0,X1,c_Relation_Oconverse(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1293])]) ).
fof(f5147,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,c_Relation_Oconverse(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_in(c_Pair(c_Main_OdprodE__4(X0,X1,c_Relation_Oconverse(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),c_Main_OdprodE__2(X0,X1,c_Relation_Oconverse(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X2,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) )
| ~ spl0_582
| ~ spl0_615 ),
inference(resolution,[],[f5136,f4707]) ).
fof(f44266,plain,
( spl0_1292
| ~ spl0_581
| ~ spl0_597 ),
inference(avatar_split_clause,[],[f4917,f4909,f4702,f44264]) ).
fof(f44264,plain,
( spl0_1292
<=> ! [X5,X4,X2,X0,X6,X3,X1] :
( c_Pair(c_Main_OImageE__1(X2,X3,c_Relation_Orel__comp(X0,X1,X4,X5,X6),X6,X5),X3,X6,X5) = c_Pair(c_Main_Orel__compE__1(X0,X1,c_Pair(c_Main_OImageE__1(X2,X3,c_Relation_Orel__comp(X0,X1,X4,X5,X6),X6,X5),X3,X6,X5),X4,X5,X6),c_Main_Orel__compE__3(X0,X1,c_Pair(c_Main_OImageE__1(X2,X3,c_Relation_Orel__comp(X0,X1,X4,X5,X6),X6,X5),X3,X6,X5),X4,X5,X6),X6,X5)
| ~ c_in(X3,c_Relation_OImage(c_Relation_Orel__comp(X0,X1,X4,X5,X6),X2,X6,X5),X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1292])]) ).
fof(f4917,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( c_Pair(c_Main_OImageE__1(X2,X3,c_Relation_Orel__comp(X0,X1,X4,X5,X6),X6,X5),X3,X6,X5) = c_Pair(c_Main_Orel__compE__1(X0,X1,c_Pair(c_Main_OImageE__1(X2,X3,c_Relation_Orel__comp(X0,X1,X4,X5,X6),X6,X5),X3,X6,X5),X4,X5,X6),c_Main_Orel__compE__3(X0,X1,c_Pair(c_Main_OImageE__1(X2,X3,c_Relation_Orel__comp(X0,X1,X4,X5,X6),X6,X5),X3,X6,X5),X4,X5,X6),X6,X5)
| ~ c_in(X3,c_Relation_OImage(c_Relation_Orel__comp(X0,X1,X4,X5,X6),X2,X6,X5),X5) )
| ~ spl0_581
| ~ spl0_597 ),
inference(resolution,[],[f4910,f4703]) ).
fof(f43762,plain,
( spl0_1291
| ~ spl0_382
| ~ spl0_616 ),
inference(avatar_split_clause,[],[f5180,f5139,f3353,f43760]) ).
fof(f43760,plain,
( spl0_1291
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(c_insert(X1,c_emptyset,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X4,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_Pair(c_Main_OdprodE__1(X0,c_insert(X1,c_emptyset,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X4,X2,X3),c_Main_OdprodE__3(X0,c_insert(X1,c_emptyset,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1291])]) ).
fof(f3353,plain,
( spl0_382
<=> ! [X18,X27,X1] :
( X18 = X27
| ~ c_in(X27,c_insert(X18,c_emptyset,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_382])]) ).
fof(f5180,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(c_insert(X1,c_emptyset,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X4,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_Pair(c_Main_OdprodE__1(X0,c_insert(X1,c_emptyset,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X4,X2,X3),c_Main_OdprodE__3(X0,c_insert(X1,c_emptyset,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = X1 )
| ~ spl0_382
| ~ spl0_616 ),
inference(resolution,[],[f5140,f3354]) ).
fof(f3354,plain,
( ! [X18,X1,X27] :
( ~ c_in(X27,c_insert(X18,c_emptyset,X1),X1)
| X18 = X27 )
| ~ spl0_382 ),
inference(avatar_component_clause,[],[f3353]) ).
fof(f43758,plain,
( spl0_1290
| ~ spl0_690
| ~ spl0_782 ),
inference(avatar_split_clause,[],[f9057,f8363,f6209,f43756]) ).
fof(f43756,plain,
( spl0_1290
<=> ! [X0] : c_lessequals(X0,c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)))),tc_set(tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1290])]) ).
fof(f8363,plain,
( spl0_782
<=> ! [X0] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg))),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_782])]) ).
fof(f9057,plain,
( ! [X0] : c_lessequals(X0,c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)))),tc_set(tc_Message_Omsg))
| ~ spl0_690
| ~ spl0_782 ),
inference(resolution,[],[f8364,f6210]) ).
fof(f8364,plain,
( ! [X0] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg))),tc_Message_Omsg)
| ~ spl0_782 ),
inference(avatar_component_clause,[],[f8363]) ).
fof(f43754,plain,
( spl0_1289
| ~ spl0_382
| ~ spl0_615 ),
inference(avatar_split_clause,[],[f5150,f5135,f3353,f43752]) ).
fof(f43752,plain,
( spl0_1289
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,c_insert(X2,c_emptyset,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_Pair(c_Main_OdprodE__2(X0,X1,c_insert(X2,c_emptyset,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X3,X4),c_Main_OdprodE__4(X0,X1,c_insert(X2,c_emptyset,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1289])]) ).
fof(f5150,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,c_insert(X2,c_emptyset,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_Pair(c_Main_OdprodE__2(X0,X1,c_insert(X2,c_emptyset,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X3,X4),c_Main_OdprodE__4(X0,X1,c_insert(X2,c_emptyset,tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = X2 )
| ~ spl0_382
| ~ spl0_615 ),
inference(resolution,[],[f5136,f3354]) ).
fof(f43750,plain,
( spl0_1288
| ~ spl0_564
| ~ spl0_601 ),
inference(avatar_split_clause,[],[f4963,f4941,f4512,f43748]) ).
fof(f43748,plain,
( spl0_1288
<=> ! [X0,X3,X2,X1] :
( c_Main_Ofinite__Union__1(c_Datatype__Universe_Ousum(X1,X0,X2,X3),tc_Datatype__Universe_Onode(X2,X3)) = c_Datatype__Universe_OIn1(c_Main_OusumE__2(X0,c_Main_Ofinite__Union__1(c_Datatype__Universe_Ousum(X1,X0,X2,X3),tc_Datatype__Universe_Onode(X2,X3)),X2,X3),X2,X3)
| c_in(c_Main_OusumE__1(X1,c_Main_Ofinite__Union__1(c_Datatype__Universe_Ousum(X1,X0,X2,X3),tc_Datatype__Universe_Onode(X2,X3)),X2,X3),X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_in(c_Union(c_Datatype__Universe_Ousum(X1,X0,X2,X3),tc_Datatype__Universe_Onode(X2,X3)),c_Finite__Set_OFinites,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ c_in(c_Datatype__Universe_Ousum(X1,X0,X2,X3),c_Finite__Set_OFinites,tc_set(tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1288])]) ).
fof(f4941,plain,
( spl0_601
<=> ! [X13,X14,X12,X2,X1] :
( c_Datatype__Universe_OIn1(c_Main_OusumE__2(X13,X14,X1,X2),X1,X2) = X14
| ~ c_in(X14,c_Datatype__Universe_Ousum(X12,X13,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| c_in(c_Main_OusumE__1(X12,X14,X1,X2),X12,tc_set(tc_Datatype__Universe_Onode(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_601])]) ).
fof(f4963,plain,
( ! [X2,X3,X0,X1] :
( c_Main_Ofinite__Union__1(c_Datatype__Universe_Ousum(X1,X0,X2,X3),tc_Datatype__Universe_Onode(X2,X3)) = c_Datatype__Universe_OIn1(c_Main_OusumE__2(X0,c_Main_Ofinite__Union__1(c_Datatype__Universe_Ousum(X1,X0,X2,X3),tc_Datatype__Universe_Onode(X2,X3)),X2,X3),X2,X3)
| c_in(c_Main_OusumE__1(X1,c_Main_Ofinite__Union__1(c_Datatype__Universe_Ousum(X1,X0,X2,X3),tc_Datatype__Universe_Onode(X2,X3)),X2,X3),X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_in(c_Union(c_Datatype__Universe_Ousum(X1,X0,X2,X3),tc_Datatype__Universe_Onode(X2,X3)),c_Finite__Set_OFinites,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ c_in(c_Datatype__Universe_Ousum(X1,X0,X2,X3),c_Finite__Set_OFinites,tc_set(tc_set(tc_Datatype__Universe_Onode(X2,X3)))) )
| ~ spl0_564
| ~ spl0_601 ),
inference(resolution,[],[f4942,f4513]) ).
fof(f4942,plain,
( ! [X2,X1,X14,X12,X13] :
( ~ c_in(X14,c_Datatype__Universe_Ousum(X12,X13,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| c_Datatype__Universe_OIn1(c_Main_OusumE__2(X13,X14,X1,X2),X1,X2) = X14
| c_in(c_Main_OusumE__1(X12,X14,X1,X2),X12,tc_set(tc_Datatype__Universe_Onode(X1,X2))) )
| ~ spl0_601 ),
inference(avatar_component_clause,[],[f4941]) ).
fof(f43746,plain,
( spl0_1287
| ~ spl0_564
| ~ spl0_600 ),
inference(avatar_split_clause,[],[f4955,f4937,f4512,f43744]) ).
fof(f43744,plain,
( spl0_1287
<=> ! [X0,X3,X2,X1] :
( c_Main_Ofinite__Union__1(c_Datatype__Universe_Ousum(X0,X1,X2,X3),tc_Datatype__Universe_Onode(X2,X3)) = c_Datatype__Universe_OIn0(c_Main_OusumE__1(X0,c_Main_Ofinite__Union__1(c_Datatype__Universe_Ousum(X0,X1,X2,X3),tc_Datatype__Universe_Onode(X2,X3)),X2,X3),X2,X3)
| c_in(c_Main_OusumE__2(X1,c_Main_Ofinite__Union__1(c_Datatype__Universe_Ousum(X0,X1,X2,X3),tc_Datatype__Universe_Onode(X2,X3)),X2,X3),X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_in(c_Union(c_Datatype__Universe_Ousum(X0,X1,X2,X3),tc_Datatype__Universe_Onode(X2,X3)),c_Finite__Set_OFinites,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ c_in(c_Datatype__Universe_Ousum(X0,X1,X2,X3),c_Finite__Set_OFinites,tc_set(tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1287])]) ).
fof(f4937,plain,
( spl0_600
<=> ! [X14,X13,X12,X2,X1] :
( c_Datatype__Universe_OIn0(c_Main_OusumE__1(X12,X14,X1,X2),X1,X2) = X14
| ~ c_in(X14,c_Datatype__Universe_Ousum(X12,X13,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| c_in(c_Main_OusumE__2(X13,X14,X1,X2),X13,tc_set(tc_Datatype__Universe_Onode(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_600])]) ).
fof(f4955,plain,
( ! [X2,X3,X0,X1] :
( c_Main_Ofinite__Union__1(c_Datatype__Universe_Ousum(X0,X1,X2,X3),tc_Datatype__Universe_Onode(X2,X3)) = c_Datatype__Universe_OIn0(c_Main_OusumE__1(X0,c_Main_Ofinite__Union__1(c_Datatype__Universe_Ousum(X0,X1,X2,X3),tc_Datatype__Universe_Onode(X2,X3)),X2,X3),X2,X3)
| c_in(c_Main_OusumE__2(X1,c_Main_Ofinite__Union__1(c_Datatype__Universe_Ousum(X0,X1,X2,X3),tc_Datatype__Universe_Onode(X2,X3)),X2,X3),X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_in(c_Union(c_Datatype__Universe_Ousum(X0,X1,X2,X3),tc_Datatype__Universe_Onode(X2,X3)),c_Finite__Set_OFinites,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ c_in(c_Datatype__Universe_Ousum(X0,X1,X2,X3),c_Finite__Set_OFinites,tc_set(tc_set(tc_Datatype__Universe_Onode(X2,X3)))) )
| ~ spl0_564
| ~ spl0_600 ),
inference(resolution,[],[f4938,f4513]) ).
fof(f4938,plain,
( ! [X2,X1,X14,X12,X13] :
( ~ c_in(X14,c_Datatype__Universe_Ousum(X12,X13,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| c_Datatype__Universe_OIn0(c_Main_OusumE__1(X12,X14,X1,X2),X1,X2) = X14
| c_in(c_Main_OusumE__2(X13,X14,X1,X2),X13,tc_set(tc_Datatype__Universe_Onode(X1,X2))) )
| ~ spl0_600 ),
inference(avatar_component_clause,[],[f4937]) ).
fof(f43742,plain,
( spl0_1286
| ~ spl0_429
| ~ spl0_599 ),
inference(avatar_split_clause,[],[f4935,f4925,f3596,f43740]) ).
fof(f43740,plain,
( spl0_1286
<=> ! [X4,X0,X3,X2,X1] :
( c_Main_OsubsetI__1(c_Datatype__Universe_Ousum(X0,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3))) = c_Datatype__Universe_OIn0(c_Main_OusumE__1(X0,c_Main_OsubsetI__1(c_Datatype__Universe_Ousum(X0,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X2,X3)
| c_Main_OsubsetI__1(c_Datatype__Universe_Ousum(X0,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3))) = c_Datatype__Universe_OIn1(c_Main_OusumE__2(X1,c_Main_OsubsetI__1(c_Datatype__Universe_Ousum(X0,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X2,X3)
| c_lessequals(c_Datatype__Universe_Ousum(X0,X1,X2,X3),X4,tc_set(tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1286])]) ).
fof(f4935,plain,
( ! [X2,X3,X0,X1,X4] :
( c_Main_OsubsetI__1(c_Datatype__Universe_Ousum(X0,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3))) = c_Datatype__Universe_OIn0(c_Main_OusumE__1(X0,c_Main_OsubsetI__1(c_Datatype__Universe_Ousum(X0,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X2,X3)
| c_Main_OsubsetI__1(c_Datatype__Universe_Ousum(X0,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3))) = c_Datatype__Universe_OIn1(c_Main_OusumE__2(X1,c_Main_OsubsetI__1(c_Datatype__Universe_Ousum(X0,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X2,X3)
| c_lessequals(c_Datatype__Universe_Ousum(X0,X1,X2,X3),X4,tc_set(tc_set(tc_Datatype__Universe_Onode(X2,X3)))) )
| ~ spl0_429
| ~ spl0_599 ),
inference(resolution,[],[f4926,f3597]) ).
fof(f43738,plain,
( spl0_1285
| ~ spl0_571
| ~ spl0_590 ),
inference(avatar_split_clause,[],[f4861,f4831,f4561,f43736]) ).
fof(f43736,plain,
( spl0_1285
<=> ! [X2,X0,X1] :
( ~ c_in(X0,c_Relation_Oconverse(c_Relation_Odiag(X1,X2),X2,X2),tc_prod(X2,X2))
| c_Pair(c_Main_OconverseE__1(c_Relation_Odiag(X1,X2),X0,X2,X2),c_Main_OconverseE__2(c_Relation_Odiag(X1,X2),X0,X2,X2),X2,X2) = c_Pair(c_Main_OdiagE__1(X1,c_Pair(c_Main_OconverseE__1(c_Relation_Odiag(X1,X2),X0,X2,X2),c_Main_OconverseE__2(c_Relation_Odiag(X1,X2),X0,X2,X2),X2,X2),X2),c_Main_OdiagE__1(X1,c_Pair(c_Main_OconverseE__1(c_Relation_Odiag(X1,X2),X0,X2,X2),c_Main_OconverseE__2(c_Relation_Odiag(X1,X2),X0,X2,X2),X2,X2),X2),X2,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1285])]) ).
fof(f4861,plain,
( ! [X2,X0,X1] :
( ~ c_in(X0,c_Relation_Oconverse(c_Relation_Odiag(X1,X2),X2,X2),tc_prod(X2,X2))
| c_Pair(c_Main_OconverseE__1(c_Relation_Odiag(X1,X2),X0,X2,X2),c_Main_OconverseE__2(c_Relation_Odiag(X1,X2),X0,X2,X2),X2,X2) = c_Pair(c_Main_OdiagE__1(X1,c_Pair(c_Main_OconverseE__1(c_Relation_Odiag(X1,X2),X0,X2,X2),c_Main_OconverseE__2(c_Relation_Odiag(X1,X2),X0,X2,X2),X2,X2),X2),c_Main_OdiagE__1(X1,c_Pair(c_Main_OconverseE__1(c_Relation_Odiag(X1,X2),X0,X2,X2),c_Main_OconverseE__2(c_Relation_Odiag(X1,X2),X0,X2,X2),X2,X2),X2),X2,X2) )
| ~ spl0_571
| ~ spl0_590 ),
inference(resolution,[],[f4832,f4562]) ).
fof(f43536,plain,
( spl0_1284
| ~ spl0_579
| ~ spl0_599 ),
inference(avatar_split_clause,[],[f4932,f4925,f4694,f43534]) ).
fof(f43534,plain,
( spl0_1284
<=> ! [X3,X4,X0,X5,X2,X1] :
( c_Main_OuprodE__2(X1,c_Datatype__Universe_Ousum(X0,X2,X3,X4),X5,X3,X4) = c_Datatype__Universe_OIn0(c_Main_OusumE__1(X0,c_Main_OuprodE__2(X1,c_Datatype__Universe_Ousum(X0,X2,X3,X4),X5,X3,X4),X3,X4),X3,X4)
| c_Main_OuprodE__2(X1,c_Datatype__Universe_Ousum(X0,X2,X3,X4),X5,X3,X4) = c_Datatype__Universe_OIn1(c_Main_OusumE__2(X2,c_Main_OuprodE__2(X1,c_Datatype__Universe_Ousum(X0,X2,X3,X4),X5,X3,X4),X3,X4),X3,X4)
| ~ c_in(X5,c_Datatype__Universe_Ouprod(X1,c_Datatype__Universe_Ousum(X0,X2,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1284])]) ).
fof(f4694,plain,
( spl0_579
<=> ! [X4,X13,X12,X2,X1] :
( ~ c_in(X4,c_Datatype__Universe_Ouprod(X12,X13,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| c_in(c_Main_OuprodE__2(X12,X13,X4,X1,X2),X13,tc_set(tc_Datatype__Universe_Onode(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_579])]) ).
fof(f4932,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( c_Main_OuprodE__2(X1,c_Datatype__Universe_Ousum(X0,X2,X3,X4),X5,X3,X4) = c_Datatype__Universe_OIn0(c_Main_OusumE__1(X0,c_Main_OuprodE__2(X1,c_Datatype__Universe_Ousum(X0,X2,X3,X4),X5,X3,X4),X3,X4),X3,X4)
| c_Main_OuprodE__2(X1,c_Datatype__Universe_Ousum(X0,X2,X3,X4),X5,X3,X4) = c_Datatype__Universe_OIn1(c_Main_OusumE__2(X2,c_Main_OuprodE__2(X1,c_Datatype__Universe_Ousum(X0,X2,X3,X4),X5,X3,X4),X3,X4),X3,X4)
| ~ c_in(X5,c_Datatype__Universe_Ouprod(X1,c_Datatype__Universe_Ousum(X0,X2,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) )
| ~ spl0_579
| ~ spl0_599 ),
inference(resolution,[],[f4926,f4695]) ).
fof(f4695,plain,
( ! [X2,X1,X4,X12,X13] :
( c_in(c_Main_OuprodE__2(X12,X13,X4,X1,X2),X13,tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| ~ c_in(X4,c_Datatype__Universe_Ouprod(X12,X13,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2))) )
| ~ spl0_579 ),
inference(avatar_component_clause,[],[f4694]) ).
fof(f43532,plain,
( spl0_1283
| ~ spl0_580
| ~ spl0_599 ),
inference(avatar_split_clause,[],[f4931,f4925,f4698,f43530]) ).
fof(f43530,plain,
( spl0_1283
<=> ! [X3,X4,X0,X5,X2,X1] :
( c_Main_OuprodE__1(c_Datatype__Universe_Ousum(X0,X1,X2,X3),X4,X5,X2,X3) = c_Datatype__Universe_OIn0(c_Main_OusumE__1(X0,c_Main_OuprodE__1(c_Datatype__Universe_Ousum(X0,X1,X2,X3),X4,X5,X2,X3),X2,X3),X2,X3)
| c_Main_OuprodE__1(c_Datatype__Universe_Ousum(X0,X1,X2,X3),X4,X5,X2,X3) = c_Datatype__Universe_OIn1(c_Main_OusumE__2(X1,c_Main_OuprodE__1(c_Datatype__Universe_Ousum(X0,X1,X2,X3),X4,X5,X2,X3),X2,X3),X2,X3)
| ~ c_in(X5,c_Datatype__Universe_Ouprod(c_Datatype__Universe_Ousum(X0,X1,X2,X3),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1283])]) ).
fof(f4698,plain,
( spl0_580
<=> ! [X4,X13,X12,X2,X1] :
( ~ c_in(X4,c_Datatype__Universe_Ouprod(X12,X13,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| c_in(c_Main_OuprodE__1(X12,X13,X4,X1,X2),X12,tc_set(tc_Datatype__Universe_Onode(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_580])]) ).
fof(f4931,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( c_Main_OuprodE__1(c_Datatype__Universe_Ousum(X0,X1,X2,X3),X4,X5,X2,X3) = c_Datatype__Universe_OIn0(c_Main_OusumE__1(X0,c_Main_OuprodE__1(c_Datatype__Universe_Ousum(X0,X1,X2,X3),X4,X5,X2,X3),X2,X3),X2,X3)
| c_Main_OuprodE__1(c_Datatype__Universe_Ousum(X0,X1,X2,X3),X4,X5,X2,X3) = c_Datatype__Universe_OIn1(c_Main_OusumE__2(X1,c_Main_OuprodE__1(c_Datatype__Universe_Ousum(X0,X1,X2,X3),X4,X5,X2,X3),X2,X3),X2,X3)
| ~ c_in(X5,c_Datatype__Universe_Ouprod(c_Datatype__Universe_Ousum(X0,X1,X2,X3),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) )
| ~ spl0_580
| ~ spl0_599 ),
inference(resolution,[],[f4926,f4699]) ).
fof(f4699,plain,
( ! [X2,X1,X4,X12,X13] :
( c_in(c_Main_OuprodE__1(X12,X13,X4,X1,X2),X12,tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| ~ c_in(X4,c_Datatype__Universe_Ouprod(X12,X13,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2))) )
| ~ spl0_580 ),
inference(avatar_component_clause,[],[f4698]) ).
fof(f43415,plain,
( spl0_1282
| ~ spl0_689
| ~ spl0_782 ),
inference(avatar_split_clause,[],[f9056,f8363,f6205,f43413]) ).
fof(f43413,plain,
( spl0_1282
<=> ! [X0] : c_lessequals(X0,c_Message_Oanalz(c_Message_Oparts(c_Message_Oparts(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)))),tc_set(tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1282])]) ).
fof(f9056,plain,
( ! [X0] : c_lessequals(X0,c_Message_Oanalz(c_Message_Oparts(c_Message_Oparts(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)))),tc_set(tc_Message_Omsg))
| ~ spl0_689
| ~ spl0_782 ),
inference(resolution,[],[f8364,f6206]) ).
fof(f42590,plain,
( spl0_1281
| ~ spl0_534
| ~ spl0_606 ),
inference(avatar_split_clause,[],[f5033,f4978,f4289,f42588]) ).
fof(f42588,plain,
( spl0_1281
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_Orel__comp(X1,c_Relation_OId,X2,X3,X2),tc_prod(X2,X3))
| c_Pair(c_Main_Orel__compE__1(X1,c_Relation_OId,X0,X2,X3,X2),c_Main_Orel__compE__2(X1,c_Relation_OId,X0,X2,X3,X2),X2,X2) = c_Pair(c_Main_OIdE__1(c_Pair(c_Main_Orel__compE__1(X1,c_Relation_OId,X0,X2,X3,X2),c_Main_Orel__compE__2(X1,c_Relation_OId,X0,X2,X3,X2),X2,X2),X2),c_Main_OIdE__1(c_Pair(c_Main_Orel__compE__1(X1,c_Relation_OId,X0,X2,X3,X2),c_Main_Orel__compE__2(X1,c_Relation_OId,X0,X2,X3,X2),X2,X2),X2),X2,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1281])]) ).
fof(f5033,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Relation_Orel__comp(X1,c_Relation_OId,X2,X3,X2),tc_prod(X2,X3))
| c_Pair(c_Main_Orel__compE__1(X1,c_Relation_OId,X0,X2,X3,X2),c_Main_Orel__compE__2(X1,c_Relation_OId,X0,X2,X3,X2),X2,X2) = c_Pair(c_Main_OIdE__1(c_Pair(c_Main_Orel__compE__1(X1,c_Relation_OId,X0,X2,X3,X2),c_Main_Orel__compE__2(X1,c_Relation_OId,X0,X2,X3,X2),X2,X2),X2),c_Main_OIdE__1(c_Pair(c_Main_Orel__compE__1(X1,c_Relation_OId,X0,X2,X3,X2),c_Main_Orel__compE__2(X1,c_Relation_OId,X0,X2,X3,X2),X2,X2),X2),X2,X2) )
| ~ spl0_534
| ~ spl0_606 ),
inference(resolution,[],[f4979,f4290]) ).
fof(f42586,plain,
( spl0_1280
| ~ spl0_534
| ~ spl0_605 ),
inference(avatar_split_clause,[],[f5003,f4974,f4289,f42584]) ).
fof(f42584,plain,
( spl0_1280
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_Orel__comp(c_Relation_OId,X1,X2,X2,X3),tc_prod(X3,X2))
| c_Pair(c_Main_Orel__compE__2(c_Relation_OId,X1,X0,X2,X2,X3),c_Main_Orel__compE__3(c_Relation_OId,X1,X0,X2,X2,X3),X2,X2) = c_Pair(c_Main_OIdE__1(c_Pair(c_Main_Orel__compE__2(c_Relation_OId,X1,X0,X2,X2,X3),c_Main_Orel__compE__3(c_Relation_OId,X1,X0,X2,X2,X3),X2,X2),X2),c_Main_OIdE__1(c_Pair(c_Main_Orel__compE__2(c_Relation_OId,X1,X0,X2,X2,X3),c_Main_Orel__compE__3(c_Relation_OId,X1,X0,X2,X2,X3),X2,X2),X2),X2,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1280])]) ).
fof(f5003,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Relation_Orel__comp(c_Relation_OId,X1,X2,X2,X3),tc_prod(X3,X2))
| c_Pair(c_Main_Orel__compE__2(c_Relation_OId,X1,X0,X2,X2,X3),c_Main_Orel__compE__3(c_Relation_OId,X1,X0,X2,X2,X3),X2,X2) = c_Pair(c_Main_OIdE__1(c_Pair(c_Main_Orel__compE__2(c_Relation_OId,X1,X0,X2,X2,X3),c_Main_Orel__compE__3(c_Relation_OId,X1,X0,X2,X2,X3),X2,X2),X2),c_Main_OIdE__1(c_Pair(c_Main_Orel__compE__2(c_Relation_OId,X1,X0,X2,X2,X3),c_Main_Orel__compE__3(c_Relation_OId,X1,X0,X2,X2,X3),X2,X2),X2),X2,X2) )
| ~ spl0_534
| ~ spl0_605 ),
inference(resolution,[],[f4975,f4290]) ).
fof(f42582,plain,
( spl0_1279
| ~ spl0_489
| ~ spl0_599 ),
inference(avatar_split_clause,[],[f4934,f4925,f3939,f42580]) ).
fof(f42580,plain,
( spl0_1279
<=> ! [X4,X0,X3,X2,X1] :
( c_Main_OUnionE__1(X1,c_Datatype__Universe_Ousum(X0,X2,X3,X4),tc_Datatype__Universe_Onode(X3,X4)) = c_Datatype__Universe_OIn0(c_Main_OusumE__1(X0,c_Main_OUnionE__1(X1,c_Datatype__Universe_Ousum(X0,X2,X3,X4),tc_Datatype__Universe_Onode(X3,X4)),X3,X4),X3,X4)
| c_Main_OUnionE__1(X1,c_Datatype__Universe_Ousum(X0,X2,X3,X4),tc_Datatype__Universe_Onode(X3,X4)) = c_Datatype__Universe_OIn1(c_Main_OusumE__2(X2,c_Main_OUnionE__1(X1,c_Datatype__Universe_Ousum(X0,X2,X3,X4),tc_Datatype__Universe_Onode(X3,X4)),X3,X4),X3,X4)
| ~ c_in(X1,c_Union(c_Datatype__Universe_Ousum(X0,X2,X3,X4),tc_Datatype__Universe_Onode(X3,X4)),tc_Datatype__Universe_Onode(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1279])]) ).
fof(f3939,plain,
( spl0_489
<=> ! [X12,X32,X1] :
( ~ c_in(X12,c_Union(X32,X1),X1)
| c_in(c_Main_OUnionE__1(X12,X32,X1),X32,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_489])]) ).
fof(f4934,plain,
( ! [X2,X3,X0,X1,X4] :
( c_Main_OUnionE__1(X1,c_Datatype__Universe_Ousum(X0,X2,X3,X4),tc_Datatype__Universe_Onode(X3,X4)) = c_Datatype__Universe_OIn0(c_Main_OusumE__1(X0,c_Main_OUnionE__1(X1,c_Datatype__Universe_Ousum(X0,X2,X3,X4),tc_Datatype__Universe_Onode(X3,X4)),X3,X4),X3,X4)
| c_Main_OUnionE__1(X1,c_Datatype__Universe_Ousum(X0,X2,X3,X4),tc_Datatype__Universe_Onode(X3,X4)) = c_Datatype__Universe_OIn1(c_Main_OusumE__2(X2,c_Main_OUnionE__1(X1,c_Datatype__Universe_Ousum(X0,X2,X3,X4),tc_Datatype__Universe_Onode(X3,X4)),X3,X4),X3,X4)
| ~ c_in(X1,c_Union(c_Datatype__Universe_Ousum(X0,X2,X3,X4),tc_Datatype__Universe_Onode(X3,X4)),tc_Datatype__Universe_Onode(X3,X4)) )
| ~ spl0_489
| ~ spl0_599 ),
inference(resolution,[],[f4926,f3940]) ).
fof(f3940,plain,
( ! [X1,X12,X32] :
( c_in(c_Main_OUnionE__1(X12,X32,X1),X32,tc_set(X1))
| ~ c_in(X12,c_Union(X32,X1),X1) )
| ~ spl0_489 ),
inference(avatar_component_clause,[],[f3939]) ).
fof(f42578,plain,
( spl0_1278
| ~ spl0_488
| ~ spl0_599 ),
inference(avatar_split_clause,[],[f4933,f4925,f3935,f42576]) ).
fof(f42576,plain,
( spl0_1278
<=> ! [X4,X0,X3,X2,X1] :
( c_Main_OInterI__1(X1,c_Datatype__Universe_Ousum(X0,X2,X3,X4),tc_Datatype__Universe_Onode(X3,X4)) = c_Datatype__Universe_OIn0(c_Main_OusumE__1(X0,c_Main_OInterI__1(X1,c_Datatype__Universe_Ousum(X0,X2,X3,X4),tc_Datatype__Universe_Onode(X3,X4)),X3,X4),X3,X4)
| c_Main_OInterI__1(X1,c_Datatype__Universe_Ousum(X0,X2,X3,X4),tc_Datatype__Universe_Onode(X3,X4)) = c_Datatype__Universe_OIn1(c_Main_OusumE__2(X2,c_Main_OInterI__1(X1,c_Datatype__Universe_Ousum(X0,X2,X3,X4),tc_Datatype__Universe_Onode(X3,X4)),X3,X4),X3,X4)
| c_in(X1,c_Inter(c_Datatype__Universe_Ousum(X0,X2,X3,X4),tc_Datatype__Universe_Onode(X3,X4)),tc_Datatype__Universe_Onode(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1278])]) ).
fof(f3935,plain,
( spl0_488
<=> ! [X12,X32,X1] :
( c_in(X12,c_Inter(X32,X1),X1)
| c_in(c_Main_OInterI__1(X12,X32,X1),X32,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_488])]) ).
fof(f4933,plain,
( ! [X2,X3,X0,X1,X4] :
( c_Main_OInterI__1(X1,c_Datatype__Universe_Ousum(X0,X2,X3,X4),tc_Datatype__Universe_Onode(X3,X4)) = c_Datatype__Universe_OIn0(c_Main_OusumE__1(X0,c_Main_OInterI__1(X1,c_Datatype__Universe_Ousum(X0,X2,X3,X4),tc_Datatype__Universe_Onode(X3,X4)),X3,X4),X3,X4)
| c_Main_OInterI__1(X1,c_Datatype__Universe_Ousum(X0,X2,X3,X4),tc_Datatype__Universe_Onode(X3,X4)) = c_Datatype__Universe_OIn1(c_Main_OusumE__2(X2,c_Main_OInterI__1(X1,c_Datatype__Universe_Ousum(X0,X2,X3,X4),tc_Datatype__Universe_Onode(X3,X4)),X3,X4),X3,X4)
| c_in(X1,c_Inter(c_Datatype__Universe_Ousum(X0,X2,X3,X4),tc_Datatype__Universe_Onode(X3,X4)),tc_Datatype__Universe_Onode(X3,X4)) )
| ~ spl0_488
| ~ spl0_599 ),
inference(resolution,[],[f4926,f3936]) ).
fof(f3936,plain,
( ! [X1,X12,X32] :
( c_in(c_Main_OInterI__1(X12,X32,X1),X32,tc_set(X1))
| c_in(X12,c_Inter(X32,X1),X1) )
| ~ spl0_488 ),
inference(avatar_component_clause,[],[f3935]) ).
fof(f42574,plain,
( spl0_1277
| ~ spl0_688
| ~ spl0_782 ),
inference(avatar_split_clause,[],[f9055,f8363,f6201,f42572]) ).
fof(f42572,plain,
( spl0_1277
<=> ! [X0] : c_lessequals(X0,c_Message_Osynth(c_Message_Oparts(c_Message_Oparts(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)))),tc_set(tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1277])]) ).
fof(f9055,plain,
( ! [X0] : c_lessequals(X0,c_Message_Osynth(c_Message_Oparts(c_Message_Oparts(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)))),tc_set(tc_Message_Omsg))
| ~ spl0_688
| ~ spl0_782 ),
inference(resolution,[],[f8364,f6202]) ).
fof(f42570,plain,
( spl0_1276
| ~ spl0_570
| ~ spl0_597 ),
inference(avatar_split_clause,[],[f4918,f4909,f4557,f42568]) ).
fof(f42568,plain,
( spl0_1276
<=> ! [X3,X4,X0,X5,X2,X1] :
( c_Pair(c_Main_ORangeE__1(X2,c_Relation_Orel__comp(X0,X1,X3,X4,X5),X4,X5),X2,X5,X4) = c_Pair(c_Main_Orel__compE__1(X0,X1,c_Pair(c_Main_ORangeE__1(X2,c_Relation_Orel__comp(X0,X1,X3,X4,X5),X4,X5),X2,X5,X4),X3,X4,X5),c_Main_Orel__compE__3(X0,X1,c_Pair(c_Main_ORangeE__1(X2,c_Relation_Orel__comp(X0,X1,X3,X4,X5),X4,X5),X2,X5,X4),X3,X4,X5),X5,X4)
| ~ c_in(X2,c_Relation_ORange(c_Relation_Orel__comp(X0,X1,X3,X4,X5),X5,X4),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1276])]) ).
fof(f4918,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( c_Pair(c_Main_ORangeE__1(X2,c_Relation_Orel__comp(X0,X1,X3,X4,X5),X4,X5),X2,X5,X4) = c_Pair(c_Main_Orel__compE__1(X0,X1,c_Pair(c_Main_ORangeE__1(X2,c_Relation_Orel__comp(X0,X1,X3,X4,X5),X4,X5),X2,X5,X4),X3,X4,X5),c_Main_Orel__compE__3(X0,X1,c_Pair(c_Main_ORangeE__1(X2,c_Relation_Orel__comp(X0,X1,X3,X4,X5),X4,X5),X2,X5,X4),X3,X4,X5),X5,X4)
| ~ c_in(X2,c_Relation_ORange(c_Relation_Orel__comp(X0,X1,X3,X4,X5),X5,X4),X4) )
| ~ spl0_570
| ~ spl0_597 ),
inference(resolution,[],[f4910,f4558]) ).
fof(f42566,plain,
( spl0_1275
| ~ spl0_569
| ~ spl0_597 ),
inference(avatar_split_clause,[],[f4916,f4909,f4553,f42564]) ).
fof(f42564,plain,
( spl0_1275
<=> ! [X2,X3,X4,X0,X5,X1] :
( c_Pair(X2,c_Main_ODomainE__1(X2,c_Relation_Orel__comp(X0,X1,X3,X4,X5),X5,X4),X5,X4) = c_Pair(c_Main_Orel__compE__1(X0,X1,c_Pair(X2,c_Main_ODomainE__1(X2,c_Relation_Orel__comp(X0,X1,X3,X4,X5),X5,X4),X5,X4),X3,X4,X5),c_Main_Orel__compE__3(X0,X1,c_Pair(X2,c_Main_ODomainE__1(X2,c_Relation_Orel__comp(X0,X1,X3,X4,X5),X5,X4),X5,X4),X3,X4,X5),X5,X4)
| ~ c_in(X2,c_Relation_ODomain(c_Relation_Orel__comp(X0,X1,X3,X4,X5),X5,X4),X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1275])]) ).
fof(f4916,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( c_Pair(X2,c_Main_ODomainE__1(X2,c_Relation_Orel__comp(X0,X1,X3,X4,X5),X5,X4),X5,X4) = c_Pair(c_Main_Orel__compE__1(X0,X1,c_Pair(X2,c_Main_ODomainE__1(X2,c_Relation_Orel__comp(X0,X1,X3,X4,X5),X5,X4),X5,X4),X3,X4,X5),c_Main_Orel__compE__3(X0,X1,c_Pair(X2,c_Main_ODomainE__1(X2,c_Relation_Orel__comp(X0,X1,X3,X4,X5),X5,X4),X5,X4),X3,X4,X5),X5,X4)
| ~ c_in(X2,c_Relation_ODomain(c_Relation_Orel__comp(X0,X1,X3,X4,X5),X5,X4),X5) )
| ~ spl0_569
| ~ spl0_597 ),
inference(resolution,[],[f4910,f4554]) ).
fof(f42562,plain,
( spl0_1274
| ~ spl0_515
| ~ spl0_590 ),
inference(avatar_split_clause,[],[f4869,f4831,f4097,f42560]) ).
fof(f42560,plain,
( spl0_1274
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_Oconverse(c_union(X1,X2,tc_prod(X3,X4)),X3,X4),tc_prod(X4,X3))
| c_in(c_Pair(c_Main_OconverseE__1(c_union(X1,X2,tc_prod(X3,X4)),X0,X3,X4),c_Main_OconverseE__2(c_union(X1,X2,tc_prod(X3,X4)),X0,X3,X4),X3,X4),X2,tc_prod(X3,X4))
| c_in(c_Pair(c_Main_OconverseE__1(c_union(X1,X2,tc_prod(X3,X4)),X0,X3,X4),c_Main_OconverseE__2(c_union(X1,X2,tc_prod(X3,X4)),X0,X3,X4),X3,X4),X1,tc_prod(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1274])]) ).
fof(f4869,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Relation_Oconverse(c_union(X1,X2,tc_prod(X3,X4)),X3,X4),tc_prod(X4,X3))
| c_in(c_Pair(c_Main_OconverseE__1(c_union(X1,X2,tc_prod(X3,X4)),X0,X3,X4),c_Main_OconverseE__2(c_union(X1,X2,tc_prod(X3,X4)),X0,X3,X4),X3,X4),X2,tc_prod(X3,X4))
| c_in(c_Pair(c_Main_OconverseE__1(c_union(X1,X2,tc_prod(X3,X4)),X0,X3,X4),c_Main_OconverseE__2(c_union(X1,X2,tc_prod(X3,X4)),X0,X3,X4),X3,X4),X1,tc_prod(X3,X4)) )
| ~ spl0_515
| ~ spl0_590 ),
inference(resolution,[],[f4832,f4098]) ).
fof(f42402,plain,
( spl0_1273
| ~ spl0_611
| ~ spl0_616 ),
inference(avatar_split_clause,[],[f5172,f5139,f5070,f42400]) ).
fof(f42400,plain,
( spl0_1273
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| ~ c_in(c_Pair(X5,c_Main_OdprodE__1(X0,X1,X2,X3,X4),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X7,tc_prod(X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_in(c_Pair(X5,c_Main_OdprodE__3(X0,X1,X2,X3,X4),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Relation_Orel__comp(X1,X7,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6),tc_prod(X6,tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1273])]) ).
fof(f5172,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| ~ c_in(c_Pair(X5,c_Main_OdprodE__1(X0,X1,X2,X3,X4),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X7,tc_prod(X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_in(c_Pair(X5,c_Main_OdprodE__3(X0,X1,X2,X3,X4),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Relation_Orel__comp(X1,X7,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6),tc_prod(X6,tc_set(tc_Datatype__Universe_Onode(X3,X4)))) )
| ~ spl0_611
| ~ spl0_616 ),
inference(resolution,[],[f5140,f5071]) ).
fof(f42398,plain,
( spl0_1272
| ~ spl0_611
| ~ spl0_615 ),
inference(avatar_split_clause,[],[f5142,f5135,f5070,f42396]) ).
fof(f42396,plain,
( spl0_1272
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| ~ c_in(c_Pair(X5,c_Main_OdprodE__2(X0,X1,X2,X3,X4),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X7,tc_prod(X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_in(c_Pair(X5,c_Main_OdprodE__4(X0,X1,X2,X3,X4),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Relation_Orel__comp(X2,X7,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6),tc_prod(X6,tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1272])]) ).
fof(f5142,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| ~ c_in(c_Pair(X5,c_Main_OdprodE__2(X0,X1,X2,X3,X4),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X7,tc_prod(X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_in(c_Pair(X5,c_Main_OdprodE__4(X0,X1,X2,X3,X4),X6,tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Relation_Orel__comp(X2,X7,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)),X6),tc_prod(X6,tc_set(tc_Datatype__Universe_Onode(X3,X4)))) )
| ~ spl0_611
| ~ spl0_615 ),
inference(resolution,[],[f5136,f5071]) ).
fof(f41705,plain,
( spl0_1271
| ~ spl0_533
| ~ spl0_624 ),
inference(avatar_split_clause,[],[f5299,f5293,f4285,f41703]) ).
fof(f41703,plain,
( spl0_1271
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ c_in(c_Pair(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| ~ c_in(c_Pair(X5,X6,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X7,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_in(c_Datatype__Universe_OScons(X0,X5,X2,X3),c_Relation_ODomain(c_Datatype__Universe_Odprod(X4,X7,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1271])]) ).
fof(f4285,plain,
( spl0_533
<=> ! [X18,X5,X27,X2,X1] :
( c_in(X18,c_Relation_ODomain(X5,X1,X2),X1)
| ~ c_in(c_Pair(X18,X27,X1,X2),X5,tc_prod(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_533])]) ).
fof(f5299,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ c_in(c_Pair(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| ~ c_in(c_Pair(X5,X6,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X7,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_in(c_Datatype__Universe_OScons(X0,X5,X2,X3),c_Relation_ODomain(c_Datatype__Universe_Odprod(X4,X7,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3))) )
| ~ spl0_533
| ~ spl0_624 ),
inference(resolution,[],[f5294,f4286]) ).
fof(f4286,plain,
( ! [X2,X18,X1,X27,X5] :
( ~ c_in(c_Pair(X18,X27,X1,X2),X5,tc_prod(X1,X2))
| c_in(X18,c_Relation_ODomain(X5,X1,X2),X1) )
| ~ spl0_533 ),
inference(avatar_component_clause,[],[f4285]) ).
fof(f41701,plain,
( spl0_1270
| ~ spl0_536
| ~ spl0_624 ),
inference(avatar_split_clause,[],[f5298,f5293,f4297,f41699]) ).
fof(f41699,plain,
( spl0_1270
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ c_in(c_Pair(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| ~ c_in(c_Pair(X5,X6,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X7,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_in(c_Datatype__Universe_OScons(X1,X6,X2,X3),c_Relation_ORange(c_Datatype__Universe_Odprod(X4,X7,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1270])]) ).
fof(f4297,plain,
( spl0_536
<=> ! [X5,X18,X27,X2,X1] :
( c_in(X27,c_Relation_ORange(X5,X1,X2),X2)
| ~ c_in(c_Pair(X18,X27,X1,X2),X5,tc_prod(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_536])]) ).
fof(f5298,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ c_in(c_Pair(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| ~ c_in(c_Pair(X5,X6,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X7,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_in(c_Datatype__Universe_OScons(X1,X6,X2,X3),c_Relation_ORange(c_Datatype__Universe_Odprod(X4,X7,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3))) )
| ~ spl0_536
| ~ spl0_624 ),
inference(resolution,[],[f5294,f4298]) ).
fof(f4298,plain,
( ! [X2,X18,X1,X27,X5] :
( ~ c_in(c_Pair(X18,X27,X1,X2),X5,tc_prod(X1,X2))
| c_in(X27,c_Relation_ORange(X5,X1,X2),X2) )
| ~ spl0_536 ),
inference(avatar_component_clause,[],[f4297]) ).
fof(f41697,plain,
( spl0_1269
| ~ spl0_585
| ~ spl0_616 ),
inference(avatar_split_clause,[],[f5178,f5139,f4794,f41695]) ).
fof(f41695,plain,
( spl0_1269
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(c_Transitive__Closure_Otrancl(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_in(c_Pair(c_Main_OdprodE__1(X0,c_Transitive__Closure_Otrancl(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X2,X3),c_Main_OdprodE__3(X0,c_Transitive__Closure_Otrancl(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Transitive__Closure_Ortrancl(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1269])]) ).
fof(f4794,plain,
( spl0_585
<=> ! [X5,X18,X27,X1] :
( ~ c_in(c_Pair(X18,X27,X1,X1),c_Transitive__Closure_Otrancl(X5,X1),tc_prod(X1,X1))
| c_in(c_Pair(X18,X27,X1,X1),c_Transitive__Closure_Ortrancl(X5,X1),tc_prod(X1,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_585])]) ).
fof(f5178,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(c_Transitive__Closure_Otrancl(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_in(c_Pair(c_Main_OdprodE__1(X0,c_Transitive__Closure_Otrancl(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X2,X3),c_Main_OdprodE__3(X0,c_Transitive__Closure_Otrancl(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Transitive__Closure_Ortrancl(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) )
| ~ spl0_585
| ~ spl0_616 ),
inference(resolution,[],[f5140,f4795]) ).
fof(f4795,plain,
( ! [X18,X1,X27,X5] :
( ~ c_in(c_Pair(X18,X27,X1,X1),c_Transitive__Closure_Otrancl(X5,X1),tc_prod(X1,X1))
| c_in(c_Pair(X18,X27,X1,X1),c_Transitive__Closure_Ortrancl(X5,X1),tc_prod(X1,X1)) )
| ~ spl0_585 ),
inference(avatar_component_clause,[],[f4794]) ).
fof(f41693,plain,
( spl0_1268
| ~ spl0_585
| ~ spl0_615 ),
inference(avatar_split_clause,[],[f5148,f5135,f4794,f41691]) ).
fof(f41691,plain,
( spl0_1268
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,c_Transitive__Closure_Otrancl(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_in(c_Pair(c_Main_OdprodE__2(X0,X1,c_Transitive__Closure_Otrancl(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),c_Main_OdprodE__4(X0,X1,c_Transitive__Closure_Otrancl(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Transitive__Closure_Ortrancl(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1268])]) ).
fof(f5148,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,c_Transitive__Closure_Otrancl(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_in(c_Pair(c_Main_OdprodE__2(X0,X1,c_Transitive__Closure_Otrancl(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),c_Main_OdprodE__4(X0,X1,c_Transitive__Closure_Otrancl(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),c_Transitive__Closure_Ortrancl(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4)))) )
| ~ spl0_585
| ~ spl0_615 ),
inference(resolution,[],[f5136,f4795]) ).
fof(f41689,plain,
( spl0_1267
| ~ spl0_581
| ~ spl0_610 ),
inference(avatar_split_clause,[],[f5074,f5066,f4702,f41687]) ).
fof(f41687,plain,
( spl0_1267
<=> ! [X4,X0,X3,X2,X1] :
( c_Main_OImageE__1(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olistrel(X0,X4),tc_List_Olist(X4),tc_List_Olist(X4)) = c_List_Olist_OCons(c_Main_Olistrel__Cons2__1(X0,c_Main_OImageE__1(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olistrel(X0,X4),tc_List_Olist(X4),tc_List_Olist(X4)),X2,X3,X4),c_Main_Olistrel__Cons2__2(X0,c_Main_OImageE__1(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olistrel(X0,X4),tc_List_Olist(X4),tc_List_Olist(X4)),X2,X3,X4),X4)
| ~ c_in(c_List_Olist_OCons(X2,X3,X4),c_Relation_OImage(c_List_Olistrel(X0,X4),X1,tc_List_Olist(X4),tc_List_Olist(X4)),tc_List_Olist(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1267])]) ).
fof(f5066,plain,
( spl0_610
<=> ! [X5,X3,X23,X25,X1] :
( c_List_Olist_OCons(c_Main_Olistrel__Cons2__1(X5,X23,X3,X25,X1),c_Main_Olistrel__Cons2__2(X5,X23,X3,X25,X1),X1) = X23
| ~ c_in(c_Pair(X23,c_List_Olist_OCons(X3,X25,X1),tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_610])]) ).
fof(f5074,plain,
( ! [X2,X3,X0,X1,X4] :
( c_Main_OImageE__1(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olistrel(X0,X4),tc_List_Olist(X4),tc_List_Olist(X4)) = c_List_Olist_OCons(c_Main_Olistrel__Cons2__1(X0,c_Main_OImageE__1(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olistrel(X0,X4),tc_List_Olist(X4),tc_List_Olist(X4)),X2,X3,X4),c_Main_Olistrel__Cons2__2(X0,c_Main_OImageE__1(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olistrel(X0,X4),tc_List_Olist(X4),tc_List_Olist(X4)),X2,X3,X4),X4)
| ~ c_in(c_List_Olist_OCons(X2,X3,X4),c_Relation_OImage(c_List_Olistrel(X0,X4),X1,tc_List_Olist(X4),tc_List_Olist(X4)),tc_List_Olist(X4)) )
| ~ spl0_581
| ~ spl0_610 ),
inference(resolution,[],[f5067,f4703]) ).
fof(f5067,plain,
( ! [X3,X1,X5,X25,X23] :
( ~ c_in(c_Pair(X23,c_List_Olist_OCons(X3,X25,X1),tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))
| c_List_Olist_OCons(c_Main_Olistrel__Cons2__1(X5,X23,X3,X25,X1),c_Main_Olistrel__Cons2__2(X5,X23,X3,X25,X1),X1) = X23 )
| ~ spl0_610 ),
inference(avatar_component_clause,[],[f5066]) ).
fof(f41675,plain,
( spl0_1266
| ~ spl0_575
| ~ spl0_606 ),
inference(avatar_split_clause,[],[f5035,f4978,f4578,f41673]) ).
fof(f41673,plain,
( spl0_1266
<=> ! [X5,X4,X2,X7,X0,X6,X3,X1] :
( ~ c_in(X0,c_Relation_Orel__comp(X1,c_Relation_OImage(X2,c_insert(X3,c_emptyset,X4),X4,tc_prod(X5,X6)),X6,X7,X5),tc_prod(X5,X7))
| c_in(c_Pair(X3,c_Pair(c_Main_Orel__compE__1(X1,c_Relation_OImage(X2,c_insert(X3,c_emptyset,X4),X4,tc_prod(X5,X6)),X0,X6,X7,X5),c_Main_Orel__compE__2(X1,c_Relation_OImage(X2,c_insert(X3,c_emptyset,X4),X4,tc_prod(X5,X6)),X0,X6,X7,X5),X5,X6),X4,tc_prod(X5,X6)),X2,tc_prod(X4,tc_prod(X5,X6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1266])]) ).
fof(f5035,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ c_in(X0,c_Relation_Orel__comp(X1,c_Relation_OImage(X2,c_insert(X3,c_emptyset,X4),X4,tc_prod(X5,X6)),X6,X7,X5),tc_prod(X5,X7))
| c_in(c_Pair(X3,c_Pair(c_Main_Orel__compE__1(X1,c_Relation_OImage(X2,c_insert(X3,c_emptyset,X4),X4,tc_prod(X5,X6)),X0,X6,X7,X5),c_Main_Orel__compE__2(X1,c_Relation_OImage(X2,c_insert(X3,c_emptyset,X4),X4,tc_prod(X5,X6)),X0,X6,X7,X5),X5,X6),X4,tc_prod(X5,X6)),X2,tc_prod(X4,tc_prod(X5,X6))) )
| ~ spl0_575
| ~ spl0_606 ),
inference(resolution,[],[f4979,f4579]) ).
fof(f41671,plain,
( spl0_1265
| ~ spl0_575
| ~ spl0_605 ),
inference(avatar_split_clause,[],[f5005,f4974,f4578,f41669]) ).
fof(f41669,plain,
( spl0_1265
<=> ! [X5,X4,X2,X7,X0,X6,X3,X1] :
( ~ c_in(X0,c_Relation_Orel__comp(c_Relation_OImage(X1,c_insert(X2,c_emptyset,X3),X3,tc_prod(X4,X5)),X6,X4,X5,X7),tc_prod(X7,X5))
| c_in(c_Pair(X2,c_Pair(c_Main_Orel__compE__2(c_Relation_OImage(X1,c_insert(X2,c_emptyset,X3),X3,tc_prod(X4,X5)),X6,X0,X4,X5,X7),c_Main_Orel__compE__3(c_Relation_OImage(X1,c_insert(X2,c_emptyset,X3),X3,tc_prod(X4,X5)),X6,X0,X4,X5,X7),X4,X5),X3,tc_prod(X4,X5)),X1,tc_prod(X3,tc_prod(X4,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1265])]) ).
fof(f5005,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ c_in(X0,c_Relation_Orel__comp(c_Relation_OImage(X1,c_insert(X2,c_emptyset,X3),X3,tc_prod(X4,X5)),X6,X4,X5,X7),tc_prod(X7,X5))
| c_in(c_Pair(X2,c_Pair(c_Main_Orel__compE__2(c_Relation_OImage(X1,c_insert(X2,c_emptyset,X3),X3,tc_prod(X4,X5)),X6,X0,X4,X5,X7),c_Main_Orel__compE__3(c_Relation_OImage(X1,c_insert(X2,c_emptyset,X3),X3,tc_prod(X4,X5)),X6,X0,X4,X5,X7),X4,X5),X3,tc_prod(X4,X5)),X1,tc_prod(X3,tc_prod(X4,X5))) )
| ~ spl0_575
| ~ spl0_605 ),
inference(resolution,[],[f4975,f4579]) ).
fof(f41667,plain,
( spl0_1264
| ~ spl0_564
| ~ spl0_593 ),
inference(avatar_split_clause,[],[f4890,f4879,f4512,f41665]) ).
fof(f41665,plain,
( spl0_1264
<=> ! [X0,X3,X2,X1] :
( c_Main_Ofinite__Union__1(c_Datatype__Universe_Ouprod(X0,X1,X2,X3),tc_Datatype__Universe_Onode(X2,X3)) = c_Datatype__Universe_OScons(c_Main_OuprodE__1(X0,X1,c_Main_Ofinite__Union__1(c_Datatype__Universe_Ouprod(X0,X1,X2,X3),tc_Datatype__Universe_Onode(X2,X3)),X2,X3),c_Main_OuprodE__2(X0,X1,c_Main_Ofinite__Union__1(c_Datatype__Universe_Ouprod(X0,X1,X2,X3),tc_Datatype__Universe_Onode(X2,X3)),X2,X3),X2,X3)
| c_in(c_Union(c_Datatype__Universe_Ouprod(X0,X1,X2,X3),tc_Datatype__Universe_Onode(X2,X3)),c_Finite__Set_OFinites,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ c_in(c_Datatype__Universe_Ouprod(X0,X1,X2,X3),c_Finite__Set_OFinites,tc_set(tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1264])]) ).
fof(f4879,plain,
( spl0_593
<=> ! [X4,X13,X12,X2,X1] :
( ~ c_in(X4,c_Datatype__Universe_Ouprod(X12,X13,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| c_Datatype__Universe_OScons(c_Main_OuprodE__1(X12,X13,X4,X1,X2),c_Main_OuprodE__2(X12,X13,X4,X1,X2),X1,X2) = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_593])]) ).
fof(f4890,plain,
( ! [X2,X3,X0,X1] :
( c_Main_Ofinite__Union__1(c_Datatype__Universe_Ouprod(X0,X1,X2,X3),tc_Datatype__Universe_Onode(X2,X3)) = c_Datatype__Universe_OScons(c_Main_OuprodE__1(X0,X1,c_Main_Ofinite__Union__1(c_Datatype__Universe_Ouprod(X0,X1,X2,X3),tc_Datatype__Universe_Onode(X2,X3)),X2,X3),c_Main_OuprodE__2(X0,X1,c_Main_Ofinite__Union__1(c_Datatype__Universe_Ouprod(X0,X1,X2,X3),tc_Datatype__Universe_Onode(X2,X3)),X2,X3),X2,X3)
| c_in(c_Union(c_Datatype__Universe_Ouprod(X0,X1,X2,X3),tc_Datatype__Universe_Onode(X2,X3)),c_Finite__Set_OFinites,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ c_in(c_Datatype__Universe_Ouprod(X0,X1,X2,X3),c_Finite__Set_OFinites,tc_set(tc_set(tc_Datatype__Universe_Onode(X2,X3)))) )
| ~ spl0_564
| ~ spl0_593 ),
inference(resolution,[],[f4880,f4513]) ).
fof(f4880,plain,
( ! [X2,X1,X4,X12,X13] :
( ~ c_in(X4,c_Datatype__Universe_Ouprod(X12,X13,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| c_Datatype__Universe_OScons(c_Main_OuprodE__1(X12,X13,X4,X1,X2),c_Main_OuprodE__2(X12,X13,X4,X1,X2),X1,X2) = X4 )
| ~ spl0_593 ),
inference(avatar_component_clause,[],[f4879]) ).
fof(f41500,plain,
( spl0_1263
| ~ spl0_429
| ~ spl0_598 ),
inference(avatar_split_clause,[],[f4923,f4913,f3596,f41498]) ).
fof(f41498,plain,
( spl0_1263
<=> ! [X4,X0,X3,X2,X1] :
( c_Main_OsubsetI__1(c_Sum__Type_OPlus(X1,X0,X2,X3),X4,tc_sum(X2,X3)) = c_Sum__Type_OInr(c_Main_OPlusE__2(X0,c_Main_OsubsetI__1(c_Sum__Type_OPlus(X1,X0,X2,X3),X4,tc_sum(X2,X3)),X3,X2),X3,X2)
| c_Main_OsubsetI__1(c_Sum__Type_OPlus(X1,X0,X2,X3),X4,tc_sum(X2,X3)) = c_Sum__Type_OInl(c_Main_OPlusE__1(X1,c_Main_OsubsetI__1(c_Sum__Type_OPlus(X1,X0,X2,X3),X4,tc_sum(X2,X3)),X2,X3),X2,X3)
| c_lessequals(c_Sum__Type_OPlus(X1,X0,X2,X3),X4,tc_set(tc_sum(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1263])]) ).
fof(f4913,plain,
( spl0_598
<=> ! [X13,X14,X12,X2,X1] :
( ~ c_in(X14,c_Sum__Type_OPlus(X12,X13,X1,X2),tc_sum(X1,X2))
| c_Sum__Type_OInr(c_Main_OPlusE__2(X13,X14,X2,X1),X2,X1) = X14
| c_Sum__Type_OInl(c_Main_OPlusE__1(X12,X14,X1,X2),X1,X2) = X14 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_598])]) ).
fof(f4923,plain,
( ! [X2,X3,X0,X1,X4] :
( c_Main_OsubsetI__1(c_Sum__Type_OPlus(X1,X0,X2,X3),X4,tc_sum(X2,X3)) = c_Sum__Type_OInr(c_Main_OPlusE__2(X0,c_Main_OsubsetI__1(c_Sum__Type_OPlus(X1,X0,X2,X3),X4,tc_sum(X2,X3)),X3,X2),X3,X2)
| c_Main_OsubsetI__1(c_Sum__Type_OPlus(X1,X0,X2,X3),X4,tc_sum(X2,X3)) = c_Sum__Type_OInl(c_Main_OPlusE__1(X1,c_Main_OsubsetI__1(c_Sum__Type_OPlus(X1,X0,X2,X3),X4,tc_sum(X2,X3)),X2,X3),X2,X3)
| c_lessequals(c_Sum__Type_OPlus(X1,X0,X2,X3),X4,tc_set(tc_sum(X2,X3))) )
| ~ spl0_429
| ~ spl0_598 ),
inference(resolution,[],[f4914,f3597]) ).
fof(f4914,plain,
( ! [X2,X1,X14,X12,X13] :
( ~ c_in(X14,c_Sum__Type_OPlus(X12,X13,X1,X2),tc_sum(X1,X2))
| c_Sum__Type_OInr(c_Main_OPlusE__2(X13,X14,X2,X1),X2,X1) = X14
| c_Sum__Type_OInl(c_Main_OPlusE__1(X12,X14,X1,X2),X1,X2) = X14 )
| ~ spl0_598 ),
inference(avatar_component_clause,[],[f4913]) ).
fof(f41496,plain,
( spl0_1262
| ~ spl0_496
| ~ spl0_590 ),
inference(avatar_split_clause,[],[f4852,f4831,f3967,f41494]) ).
fof(f41494,plain,
( spl0_1262
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_Oconverse(c_insert(X1,X2,tc_prod(X3,X4)),X3,X4),tc_prod(X4,X3))
| c_in(c_Pair(c_Main_OconverseE__1(c_insert(X1,X2,tc_prod(X3,X4)),X0,X3,X4),c_Main_OconverseE__2(c_insert(X1,X2,tc_prod(X3,X4)),X0,X3,X4),X3,X4),X2,tc_prod(X3,X4))
| c_Pair(c_Main_OconverseE__1(c_insert(X1,X2,tc_prod(X3,X4)),X0,X3,X4),c_Main_OconverseE__2(c_insert(X1,X2,tc_prod(X3,X4)),X0,X3,X4),X3,X4) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1262])]) ).
fof(f4852,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Relation_Oconverse(c_insert(X1,X2,tc_prod(X3,X4)),X3,X4),tc_prod(X4,X3))
| c_in(c_Pair(c_Main_OconverseE__1(c_insert(X1,X2,tc_prod(X3,X4)),X0,X3,X4),c_Main_OconverseE__2(c_insert(X1,X2,tc_prod(X3,X4)),X0,X3,X4),X3,X4),X2,tc_prod(X3,X4))
| c_Pair(c_Main_OconverseE__1(c_insert(X1,X2,tc_prod(X3,X4)),X0,X3,X4),c_Main_OconverseE__2(c_insert(X1,X2,tc_prod(X3,X4)),X0,X3,X4),X3,X4) = X1 )
| ~ spl0_496
| ~ spl0_590 ),
inference(resolution,[],[f4832,f3968]) ).
fof(f41312,plain,
( spl0_1261
| ~ spl0_564
| ~ spl0_604 ),
inference(avatar_split_clause,[],[f4983,f4970,f4512,f41310]) ).
fof(f41310,plain,
( spl0_1261
<=> ! [X0,X3,X2,X1] :
( c_in(c_Main_OusumE__2(X0,c_Main_Ofinite__Union__1(c_Datatype__Universe_Ousum(X1,X0,X2,X3),tc_Datatype__Universe_Onode(X2,X3)),X2,X3),X0,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_in(c_Main_OusumE__1(X1,c_Main_Ofinite__Union__1(c_Datatype__Universe_Ousum(X1,X0,X2,X3),tc_Datatype__Universe_Onode(X2,X3)),X2,X3),X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_in(c_Union(c_Datatype__Universe_Ousum(X1,X0,X2,X3),tc_Datatype__Universe_Onode(X2,X3)),c_Finite__Set_OFinites,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ c_in(c_Datatype__Universe_Ousum(X1,X0,X2,X3),c_Finite__Set_OFinites,tc_set(tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1261])]) ).
fof(f4970,plain,
( spl0_604
<=> ! [X13,X14,X12,X2,X1] :
( ~ c_in(X14,c_Datatype__Universe_Ousum(X12,X13,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| c_in(c_Main_OusumE__2(X13,X14,X1,X2),X13,tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| c_in(c_Main_OusumE__1(X12,X14,X1,X2),X12,tc_set(tc_Datatype__Universe_Onode(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_604])]) ).
fof(f4983,plain,
( ! [X2,X3,X0,X1] :
( c_in(c_Main_OusumE__2(X0,c_Main_Ofinite__Union__1(c_Datatype__Universe_Ousum(X1,X0,X2,X3),tc_Datatype__Universe_Onode(X2,X3)),X2,X3),X0,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_in(c_Main_OusumE__1(X1,c_Main_Ofinite__Union__1(c_Datatype__Universe_Ousum(X1,X0,X2,X3),tc_Datatype__Universe_Onode(X2,X3)),X2,X3),X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_in(c_Union(c_Datatype__Universe_Ousum(X1,X0,X2,X3),tc_Datatype__Universe_Onode(X2,X3)),c_Finite__Set_OFinites,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ c_in(c_Datatype__Universe_Ousum(X1,X0,X2,X3),c_Finite__Set_OFinites,tc_set(tc_set(tc_Datatype__Universe_Onode(X2,X3)))) )
| ~ spl0_564
| ~ spl0_604 ),
inference(resolution,[],[f4971,f4513]) ).
fof(f4971,plain,
( ! [X2,X1,X14,X12,X13] :
( ~ c_in(X14,c_Datatype__Universe_Ousum(X12,X13,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| c_in(c_Main_OusumE__2(X13,X14,X1,X2),X13,tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| c_in(c_Main_OusumE__1(X12,X14,X1,X2),X12,tc_set(tc_Datatype__Universe_Onode(X1,X2))) )
| ~ spl0_604 ),
inference(avatar_component_clause,[],[f4970]) ).
fof(f41218,plain,
( spl0_1260
| ~ spl0_430
| ~ spl0_837 ),
inference(avatar_split_clause,[],[f10613,f10206,f3600,f41216]) ).
fof(f41216,plain,
( spl0_1260
<=> ! [X0,X1] : c_lessequals(X0,c_List_Olists(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,X1),X1),tc_set(tc_List_Olist(X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1260])]) ).
fof(f3600,plain,
( spl0_430
<=> ! [X13,X12,X1] :
( c_lessequals(X12,X13,tc_set(X1))
| ~ c_in(c_Main_OsubsetI__1(X12,X13,X1),X13,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_430])]) ).
fof(f10206,plain,
( spl0_837
<=> ! [X0,X1] : c_in(X0,c_List_Olists(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,X1),X1),tc_List_Olist(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_837])]) ).
fof(f10613,plain,
( ! [X0,X1] : c_lessequals(X0,c_List_Olists(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,X1),X1),tc_set(tc_List_Olist(X1)))
| ~ spl0_430
| ~ spl0_837 ),
inference(resolution,[],[f10207,f3601]) ).
fof(f3601,plain,
( ! [X1,X12,X13] :
( ~ c_in(c_Main_OsubsetI__1(X12,X13,X1),X13,X1)
| c_lessequals(X12,X13,tc_set(X1)) )
| ~ spl0_430 ),
inference(avatar_component_clause,[],[f3600]) ).
fof(f10207,plain,
( ! [X0,X1] : c_in(X0,c_List_Olists(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,X1),X1),tc_List_Olist(X1))
| ~ spl0_837 ),
inference(avatar_component_clause,[],[f10206]) ).
fof(f41122,plain,
( spl0_1259
| ~ spl0_500
| ~ spl0_616 ),
inference(avatar_split_clause,[],[f5191,f5139,f4037,f41120]) ).
fof(f41120,plain,
( spl0_1259
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(c_Relation_Odiag(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_in(c_Main_OdiagE__1(X1,c_Pair(c_Main_OdprodE__1(X0,c_Relation_Odiag(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X2,X3),c_Main_OdprodE__3(X0,c_Relation_Odiag(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X1,tc_set(tc_Datatype__Universe_Onode(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1259])]) ).
fof(f4037,plain,
( spl0_500
<=> ! [X12,X1,X4] :
( c_in(c_Main_OdiagE__1(X12,X4,X1),X12,X1)
| ~ c_in(X4,c_Relation_Odiag(X12,X1),tc_prod(X1,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_500])]) ).
fof(f5191,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(c_Relation_Odiag(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_in(c_Main_OdiagE__1(X1,c_Pair(c_Main_OdprodE__1(X0,c_Relation_Odiag(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X2,X3),c_Main_OdprodE__3(X0,c_Relation_Odiag(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X1,tc_set(tc_Datatype__Universe_Onode(X2,X3))) )
| ~ spl0_500
| ~ spl0_616 ),
inference(resolution,[],[f5140,f4038]) ).
fof(f4038,plain,
( ! [X1,X4,X12] :
( ~ c_in(X4,c_Relation_Odiag(X12,X1),tc_prod(X1,X1))
| c_in(c_Main_OdiagE__1(X12,X4,X1),X12,X1) )
| ~ spl0_500 ),
inference(avatar_component_clause,[],[f4037]) ).
fof(f41118,plain,
( spl0_1258
| ~ spl0_500
| ~ spl0_615 ),
inference(avatar_split_clause,[],[f5161,f5135,f4037,f41116]) ).
fof(f41116,plain,
( spl0_1258
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,c_Relation_Odiag(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_in(c_Main_OdiagE__1(X2,c_Pair(c_Main_OdprodE__2(X0,X1,c_Relation_Odiag(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),c_Main_OdprodE__4(X0,X1,c_Relation_Odiag(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1258])]) ).
fof(f5161,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,c_Relation_Odiag(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_in(c_Main_OdiagE__1(X2,c_Pair(c_Main_OdprodE__2(X0,X1,c_Relation_Odiag(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),c_Main_OdprodE__4(X0,X1,c_Relation_Odiag(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4))),X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))) )
| ~ spl0_500
| ~ spl0_615 ),
inference(resolution,[],[f5136,f4038]) ).
fof(f41114,plain,
( spl0_1257
| ~ spl0_570
| ~ spl0_610 ),
inference(avatar_split_clause,[],[f5075,f5066,f4557,f41112]) ).
fof(f41112,plain,
( spl0_1257
<=> ! [X0,X3,X2,X1] :
( c_Main_ORangeE__1(c_List_Olist_OCons(X1,X2,X3),c_List_Olistrel(X0,X3),tc_List_Olist(X3),tc_List_Olist(X3)) = c_List_Olist_OCons(c_Main_Olistrel__Cons2__1(X0,c_Main_ORangeE__1(c_List_Olist_OCons(X1,X2,X3),c_List_Olistrel(X0,X3),tc_List_Olist(X3),tc_List_Olist(X3)),X1,X2,X3),c_Main_Olistrel__Cons2__2(X0,c_Main_ORangeE__1(c_List_Olist_OCons(X1,X2,X3),c_List_Olistrel(X0,X3),tc_List_Olist(X3),tc_List_Olist(X3)),X1,X2,X3),X3)
| ~ c_in(c_List_Olist_OCons(X1,X2,X3),c_Relation_ORange(c_List_Olistrel(X0,X3),tc_List_Olist(X3),tc_List_Olist(X3)),tc_List_Olist(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1257])]) ).
fof(f5075,plain,
( ! [X2,X3,X0,X1] :
( c_Main_ORangeE__1(c_List_Olist_OCons(X1,X2,X3),c_List_Olistrel(X0,X3),tc_List_Olist(X3),tc_List_Olist(X3)) = c_List_Olist_OCons(c_Main_Olistrel__Cons2__1(X0,c_Main_ORangeE__1(c_List_Olist_OCons(X1,X2,X3),c_List_Olistrel(X0,X3),tc_List_Olist(X3),tc_List_Olist(X3)),X1,X2,X3),c_Main_Olistrel__Cons2__2(X0,c_Main_ORangeE__1(c_List_Olist_OCons(X1,X2,X3),c_List_Olistrel(X0,X3),tc_List_Olist(X3),tc_List_Olist(X3)),X1,X2,X3),X3)
| ~ c_in(c_List_Olist_OCons(X1,X2,X3),c_Relation_ORange(c_List_Olistrel(X0,X3),tc_List_Olist(X3),tc_List_Olist(X3)),tc_List_Olist(X3)) )
| ~ spl0_570
| ~ spl0_610 ),
inference(resolution,[],[f5067,f4558]) ).
fof(f41110,plain,
( spl0_1256
| ~ spl0_569
| ~ spl0_609 ),
inference(avatar_split_clause,[],[f5073,f5062,f4553,f41108]) ).
fof(f41108,plain,
( spl0_1256
<=> ! [X0,X3,X2,X1] :
( c_Main_ODomainE__1(c_List_Olist_OCons(X1,X2,X3),c_List_Olistrel(X0,X3),tc_List_Olist(X3),tc_List_Olist(X3)) = c_List_Olist_OCons(c_Main_Olistrel__Cons1__1(X0,c_Main_ODomainE__1(c_List_Olist_OCons(X1,X2,X3),c_List_Olistrel(X0,X3),tc_List_Olist(X3),tc_List_Olist(X3)),X1,X2,X3),c_Main_Olistrel__Cons1__2(X0,c_Main_ODomainE__1(c_List_Olist_OCons(X1,X2,X3),c_List_Olistrel(X0,X3),tc_List_Olist(X3),tc_List_Olist(X3)),X1,X2,X3),X3)
| ~ c_in(c_List_Olist_OCons(X1,X2,X3),c_Relation_ODomain(c_List_Olistrel(X0,X3),tc_List_Olist(X3),tc_List_Olist(X3)),tc_List_Olist(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1256])]) ).
fof(f5062,plain,
( spl0_609
<=> ! [X5,X3,X23,X25,X1] :
( c_List_Olist_OCons(c_Main_Olistrel__Cons1__1(X5,X23,X3,X25,X1),c_Main_Olistrel__Cons1__2(X5,X23,X3,X25,X1),X1) = X23
| ~ c_in(c_Pair(c_List_Olist_OCons(X3,X25,X1),X23,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_609])]) ).
fof(f5073,plain,
( ! [X2,X3,X0,X1] :
( c_Main_ODomainE__1(c_List_Olist_OCons(X1,X2,X3),c_List_Olistrel(X0,X3),tc_List_Olist(X3),tc_List_Olist(X3)) = c_List_Olist_OCons(c_Main_Olistrel__Cons1__1(X0,c_Main_ODomainE__1(c_List_Olist_OCons(X1,X2,X3),c_List_Olistrel(X0,X3),tc_List_Olist(X3),tc_List_Olist(X3)),X1,X2,X3),c_Main_Olistrel__Cons1__2(X0,c_Main_ODomainE__1(c_List_Olist_OCons(X1,X2,X3),c_List_Olistrel(X0,X3),tc_List_Olist(X3),tc_List_Olist(X3)),X1,X2,X3),X3)
| ~ c_in(c_List_Olist_OCons(X1,X2,X3),c_Relation_ODomain(c_List_Olistrel(X0,X3),tc_List_Olist(X3),tc_List_Olist(X3)),tc_List_Olist(X3)) )
| ~ spl0_569
| ~ spl0_609 ),
inference(resolution,[],[f5063,f4554]) ).
fof(f5063,plain,
( ! [X3,X1,X5,X25,X23] :
( ~ c_in(c_Pair(c_List_Olist_OCons(X3,X25,X1),X23,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))
| c_List_Olist_OCons(c_Main_Olistrel__Cons1__1(X5,X23,X3,X25,X1),c_Main_Olistrel__Cons1__2(X5,X23,X3,X25,X1),X1) = X23 )
| ~ spl0_609 ),
inference(avatar_component_clause,[],[f5062]) ).
fof(f40836,plain,
( spl0_1255
| ~ spl0_708
| ~ spl0_763 ),
inference(avatar_split_clause,[],[f7779,f7700,f6571,f40834]) ).
fof(f40834,plain,
( spl0_1255
<=> ! [X0,X1] : c_lessequals(X0,c_Pow(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,X1),X1),tc_set(tc_set(X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1255])]) ).
fof(f6571,plain,
( spl0_708
<=> ! [X0,X1] : c_lessequals(X0,c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,X1),tc_set(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_708])]) ).
fof(f7700,plain,
( spl0_763
<=> ! [X2,X0,X1] :
( ~ c_lessequals(c_Main_OsubsetI__1(X0,c_Pow(X1,X2),tc_set(X2)),X1,tc_set(X2))
| c_lessequals(X0,c_Pow(X1,X2),tc_set(tc_set(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_763])]) ).
fof(f7779,plain,
( ! [X0,X1] : c_lessequals(X0,c_Pow(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,X1),X1),tc_set(tc_set(X1)))
| ~ spl0_708
| ~ spl0_763 ),
inference(resolution,[],[f7701,f6572]) ).
fof(f6572,plain,
( ! [X0,X1] : c_lessequals(X0,c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,X1),tc_set(X1))
| ~ spl0_708 ),
inference(avatar_component_clause,[],[f6571]) ).
fof(f7701,plain,
( ! [X2,X0,X1] :
( ~ c_lessequals(c_Main_OsubsetI__1(X0,c_Pow(X1,X2),tc_set(X2)),X1,tc_set(X2))
| c_lessequals(X0,c_Pow(X1,X2),tc_set(tc_set(X2))) )
| ~ spl0_763 ),
inference(avatar_component_clause,[],[f7700]) ).
fof(f40562,plain,
( spl0_1254
| ~ spl0_429
| ~ spl0_601 ),
inference(avatar_split_clause,[],[f4968,f4941,f3596,f40560]) ).
fof(f40560,plain,
( spl0_1254
<=> ! [X4,X0,X3,X2,X1] :
( c_Main_OsubsetI__1(c_Datatype__Universe_Ousum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3))) = c_Datatype__Universe_OIn1(c_Main_OusumE__2(X0,c_Main_OsubsetI__1(c_Datatype__Universe_Ousum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X2,X3)
| c_in(c_Main_OusumE__1(X1,c_Main_OsubsetI__1(c_Datatype__Universe_Ousum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_lessequals(c_Datatype__Universe_Ousum(X1,X0,X2,X3),X4,tc_set(tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1254])]) ).
fof(f4968,plain,
( ! [X2,X3,X0,X1,X4] :
( c_Main_OsubsetI__1(c_Datatype__Universe_Ousum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3))) = c_Datatype__Universe_OIn1(c_Main_OusumE__2(X0,c_Main_OsubsetI__1(c_Datatype__Universe_Ousum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X2,X3)
| c_in(c_Main_OusumE__1(X1,c_Main_OsubsetI__1(c_Datatype__Universe_Ousum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_lessequals(c_Datatype__Universe_Ousum(X1,X0,X2,X3),X4,tc_set(tc_set(tc_Datatype__Universe_Onode(X2,X3)))) )
| ~ spl0_429
| ~ spl0_601 ),
inference(resolution,[],[f4942,f3597]) ).
fof(f40558,plain,
( spl0_1253
| ~ spl0_579
| ~ spl0_601 ),
inference(avatar_split_clause,[],[f4965,f4941,f4694,f40556]) ).
fof(f40556,plain,
( spl0_1253
<=> ! [X2,X4,X0,X5,X3,X1] :
( c_Main_OuprodE__2(X1,c_Datatype__Universe_Ousum(X2,X0,X3,X4),X5,X3,X4) = c_Datatype__Universe_OIn1(c_Main_OusumE__2(X0,c_Main_OuprodE__2(X1,c_Datatype__Universe_Ousum(X2,X0,X3,X4),X5,X3,X4),X3,X4),X3,X4)
| c_in(c_Main_OusumE__1(X2,c_Main_OuprodE__2(X1,c_Datatype__Universe_Ousum(X2,X0,X3,X4),X5,X3,X4),X3,X4),X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ c_in(X5,c_Datatype__Universe_Ouprod(X1,c_Datatype__Universe_Ousum(X2,X0,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1253])]) ).
fof(f4965,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( c_Main_OuprodE__2(X1,c_Datatype__Universe_Ousum(X2,X0,X3,X4),X5,X3,X4) = c_Datatype__Universe_OIn1(c_Main_OusumE__2(X0,c_Main_OuprodE__2(X1,c_Datatype__Universe_Ousum(X2,X0,X3,X4),X5,X3,X4),X3,X4),X3,X4)
| c_in(c_Main_OusumE__1(X2,c_Main_OuprodE__2(X1,c_Datatype__Universe_Ousum(X2,X0,X3,X4),X5,X3,X4),X3,X4),X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ c_in(X5,c_Datatype__Universe_Ouprod(X1,c_Datatype__Universe_Ousum(X2,X0,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) )
| ~ spl0_579
| ~ spl0_601 ),
inference(resolution,[],[f4942,f4695]) ).
fof(f40554,plain,
( spl0_1252
| ~ spl0_580
| ~ spl0_601 ),
inference(avatar_split_clause,[],[f4964,f4941,f4698,f40552]) ).
fof(f40552,plain,
( spl0_1252
<=> ! [X3,X4,X0,X5,X2,X1] :
( c_Main_OuprodE__1(c_Datatype__Universe_Ousum(X1,X0,X2,X3),X4,X5,X2,X3) = c_Datatype__Universe_OIn1(c_Main_OusumE__2(X0,c_Main_OuprodE__1(c_Datatype__Universe_Ousum(X1,X0,X2,X3),X4,X5,X2,X3),X2,X3),X2,X3)
| c_in(c_Main_OusumE__1(X1,c_Main_OuprodE__1(c_Datatype__Universe_Ousum(X1,X0,X2,X3),X4,X5,X2,X3),X2,X3),X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ c_in(X5,c_Datatype__Universe_Ouprod(c_Datatype__Universe_Ousum(X1,X0,X2,X3),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1252])]) ).
fof(f4964,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( c_Main_OuprodE__1(c_Datatype__Universe_Ousum(X1,X0,X2,X3),X4,X5,X2,X3) = c_Datatype__Universe_OIn1(c_Main_OusumE__2(X0,c_Main_OuprodE__1(c_Datatype__Universe_Ousum(X1,X0,X2,X3),X4,X5,X2,X3),X2,X3),X2,X3)
| c_in(c_Main_OusumE__1(X1,c_Main_OuprodE__1(c_Datatype__Universe_Ousum(X1,X0,X2,X3),X4,X5,X2,X3),X2,X3),X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ c_in(X5,c_Datatype__Universe_Ouprod(c_Datatype__Universe_Ousum(X1,X0,X2,X3),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) )
| ~ spl0_580
| ~ spl0_601 ),
inference(resolution,[],[f4942,f4699]) ).
fof(f40550,plain,
( spl0_1251
| ~ spl0_429
| ~ spl0_600 ),
inference(avatar_split_clause,[],[f4960,f4937,f3596,f40548]) ).
fof(f40548,plain,
( spl0_1251
<=> ! [X4,X0,X3,X2,X1] :
( c_Main_OsubsetI__1(c_Datatype__Universe_Ousum(X0,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3))) = c_Datatype__Universe_OIn0(c_Main_OusumE__1(X0,c_Main_OsubsetI__1(c_Datatype__Universe_Ousum(X0,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X2,X3)
| c_in(c_Main_OusumE__2(X1,c_Main_OsubsetI__1(c_Datatype__Universe_Ousum(X0,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_lessequals(c_Datatype__Universe_Ousum(X0,X1,X2,X3),X4,tc_set(tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1251])]) ).
fof(f4960,plain,
( ! [X2,X3,X0,X1,X4] :
( c_Main_OsubsetI__1(c_Datatype__Universe_Ousum(X0,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3))) = c_Datatype__Universe_OIn0(c_Main_OusumE__1(X0,c_Main_OsubsetI__1(c_Datatype__Universe_Ousum(X0,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X2,X3)
| c_in(c_Main_OusumE__2(X1,c_Main_OsubsetI__1(c_Datatype__Universe_Ousum(X0,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_lessequals(c_Datatype__Universe_Ousum(X0,X1,X2,X3),X4,tc_set(tc_set(tc_Datatype__Universe_Onode(X2,X3)))) )
| ~ spl0_429
| ~ spl0_600 ),
inference(resolution,[],[f4938,f3597]) ).
fof(f40546,plain,
( spl0_1250
| ~ spl0_579
| ~ spl0_600 ),
inference(avatar_split_clause,[],[f4957,f4937,f4694,f40544]) ).
fof(f40544,plain,
( spl0_1250
<=> ! [X3,X4,X0,X5,X2,X1] :
( c_Main_OuprodE__2(X1,c_Datatype__Universe_Ousum(X0,X2,X3,X4),X5,X3,X4) = c_Datatype__Universe_OIn0(c_Main_OusumE__1(X0,c_Main_OuprodE__2(X1,c_Datatype__Universe_Ousum(X0,X2,X3,X4),X5,X3,X4),X3,X4),X3,X4)
| c_in(c_Main_OusumE__2(X2,c_Main_OuprodE__2(X1,c_Datatype__Universe_Ousum(X0,X2,X3,X4),X5,X3,X4),X3,X4),X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ c_in(X5,c_Datatype__Universe_Ouprod(X1,c_Datatype__Universe_Ousum(X0,X2,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1250])]) ).
fof(f4957,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( c_Main_OuprodE__2(X1,c_Datatype__Universe_Ousum(X0,X2,X3,X4),X5,X3,X4) = c_Datatype__Universe_OIn0(c_Main_OusumE__1(X0,c_Main_OuprodE__2(X1,c_Datatype__Universe_Ousum(X0,X2,X3,X4),X5,X3,X4),X3,X4),X3,X4)
| c_in(c_Main_OusumE__2(X2,c_Main_OuprodE__2(X1,c_Datatype__Universe_Ousum(X0,X2,X3,X4),X5,X3,X4),X3,X4),X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ c_in(X5,c_Datatype__Universe_Ouprod(X1,c_Datatype__Universe_Ousum(X0,X2,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) )
| ~ spl0_579
| ~ spl0_600 ),
inference(resolution,[],[f4938,f4695]) ).
fof(f40542,plain,
( spl0_1249
| ~ spl0_580
| ~ spl0_600 ),
inference(avatar_split_clause,[],[f4956,f4937,f4698,f40540]) ).
fof(f40540,plain,
( spl0_1249
<=> ! [X3,X4,X0,X5,X2,X1] :
( c_Main_OuprodE__1(c_Datatype__Universe_Ousum(X0,X1,X2,X3),X4,X5,X2,X3) = c_Datatype__Universe_OIn0(c_Main_OusumE__1(X0,c_Main_OuprodE__1(c_Datatype__Universe_Ousum(X0,X1,X2,X3),X4,X5,X2,X3),X2,X3),X2,X3)
| c_in(c_Main_OusumE__2(X1,c_Main_OuprodE__1(c_Datatype__Universe_Ousum(X0,X1,X2,X3),X4,X5,X2,X3),X2,X3),X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ c_in(X5,c_Datatype__Universe_Ouprod(c_Datatype__Universe_Ousum(X0,X1,X2,X3),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1249])]) ).
fof(f4956,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( c_Main_OuprodE__1(c_Datatype__Universe_Ousum(X0,X1,X2,X3),X4,X5,X2,X3) = c_Datatype__Universe_OIn0(c_Main_OusumE__1(X0,c_Main_OuprodE__1(c_Datatype__Universe_Ousum(X0,X1,X2,X3),X4,X5,X2,X3),X2,X3),X2,X3)
| c_in(c_Main_OusumE__2(X1,c_Main_OuprodE__1(c_Datatype__Universe_Ousum(X0,X1,X2,X3),X4,X5,X2,X3),X2,X3),X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ c_in(X5,c_Datatype__Universe_Ouprod(c_Datatype__Universe_Ousum(X0,X1,X2,X3),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) )
| ~ spl0_580
| ~ spl0_600 ),
inference(resolution,[],[f4938,f4699]) ).
fof(f39809,plain,
( spl0_1248
| ~ spl0_610
| ~ spl0_613 ),
inference(avatar_split_clause,[],[f5132,f5112,f5066,f39807]) ).
fof(f39807,plain,
( spl0_1248
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ c_in(c_Pair(X0,c_List_Olist_OCons(X1,c_List_Olist_OCons(X2,X3,X4),X4),tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X5,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4)))
| c_Main_Olistrel__Cons2__2(X5,X0,X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(c_Main_Olistrel__Cons2__1(X5,c_Main_Olistrel__Cons2__2(X5,X0,X1,c_List_Olist_OCons(X2,X3,X4),X4),X2,X3,X4),c_Main_Olistrel__Cons2__2(X5,c_Main_Olistrel__Cons2__2(X5,X0,X1,c_List_Olist_OCons(X2,X3,X4),X4),X2,X3,X4),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1248])]) ).
fof(f5112,plain,
( spl0_613
<=> ! [X3,X23,X5,X25,X1] :
( ~ c_in(c_Pair(X23,c_List_Olist_OCons(X3,X25,X1),tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))
| c_in(c_Pair(c_Main_Olistrel__Cons2__2(X5,X23,X3,X25,X1),X25,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_613])]) ).
fof(f5132,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(c_Pair(X0,c_List_Olist_OCons(X1,c_List_Olist_OCons(X2,X3,X4),X4),tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X5,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4)))
| c_Main_Olistrel__Cons2__2(X5,X0,X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(c_Main_Olistrel__Cons2__1(X5,c_Main_Olistrel__Cons2__2(X5,X0,X1,c_List_Olist_OCons(X2,X3,X4),X4),X2,X3,X4),c_Main_Olistrel__Cons2__2(X5,c_Main_Olistrel__Cons2__2(X5,X0,X1,c_List_Olist_OCons(X2,X3,X4),X4),X2,X3,X4),X4) )
| ~ spl0_610
| ~ spl0_613 ),
inference(resolution,[],[f5113,f5067]) ).
fof(f5113,plain,
( ! [X3,X1,X5,X25,X23] :
( c_in(c_Pair(c_Main_Olistrel__Cons2__2(X5,X23,X3,X25,X1),X25,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))
| ~ c_in(c_Pair(X23,c_List_Olist_OCons(X3,X25,X1),tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) )
| ~ spl0_613 ),
inference(avatar_component_clause,[],[f5112]) ).
fof(f39805,plain,
( spl0_1247
| ~ spl0_609
| ~ spl0_612 ),
inference(avatar_split_clause,[],[f5125,f5108,f5062,f39803]) ).
fof(f39803,plain,
( spl0_1247
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ c_in(c_Pair(c_List_Olist_OCons(X0,c_List_Olist_OCons(X1,X2,X3),X3),X4,tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olistrel(X5,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))
| c_Main_Olistrel__Cons1__2(X5,X4,X0,c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(c_Main_Olistrel__Cons1__1(X5,c_Main_Olistrel__Cons1__2(X5,X4,X0,c_List_Olist_OCons(X1,X2,X3),X3),X1,X2,X3),c_Main_Olistrel__Cons1__2(X5,c_Main_Olistrel__Cons1__2(X5,X4,X0,c_List_Olist_OCons(X1,X2,X3),X3),X1,X2,X3),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1247])]) ).
fof(f5108,plain,
( spl0_612
<=> ! [X3,X23,X5,X25,X1] :
( ~ c_in(c_Pair(c_List_Olist_OCons(X3,X25,X1),X23,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))
| c_in(c_Pair(X25,c_Main_Olistrel__Cons1__2(X5,X23,X3,X25,X1),tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_612])]) ).
fof(f5125,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(c_Pair(c_List_Olist_OCons(X0,c_List_Olist_OCons(X1,X2,X3),X3),X4,tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olistrel(X5,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))
| c_Main_Olistrel__Cons1__2(X5,X4,X0,c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(c_Main_Olistrel__Cons1__1(X5,c_Main_Olistrel__Cons1__2(X5,X4,X0,c_List_Olist_OCons(X1,X2,X3),X3),X1,X2,X3),c_Main_Olistrel__Cons1__2(X5,c_Main_Olistrel__Cons1__2(X5,X4,X0,c_List_Olist_OCons(X1,X2,X3),X3),X1,X2,X3),X3) )
| ~ spl0_609
| ~ spl0_612 ),
inference(resolution,[],[f5109,f5063]) ).
fof(f5109,plain,
( ! [X3,X1,X5,X25,X23] :
( c_in(c_Pair(X25,c_Main_Olistrel__Cons1__2(X5,X23,X3,X25,X1),tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))
| ~ c_in(c_Pair(c_List_Olist_OCons(X3,X25,X1),X23,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) )
| ~ spl0_612 ),
inference(avatar_component_clause,[],[f5108]) ).
fof(f39801,plain,
( spl0_1246
| ~ spl0_489
| ~ spl0_601 ),
inference(avatar_split_clause,[],[f4967,f4941,f3939,f39799]) ).
fof(f39799,plain,
( spl0_1246
<=> ! [X4,X0,X3,X2,X1] :
( c_Main_OUnionE__1(X1,c_Datatype__Universe_Ousum(X2,X0,X3,X4),tc_Datatype__Universe_Onode(X3,X4)) = c_Datatype__Universe_OIn1(c_Main_OusumE__2(X0,c_Main_OUnionE__1(X1,c_Datatype__Universe_Ousum(X2,X0,X3,X4),tc_Datatype__Universe_Onode(X3,X4)),X3,X4),X3,X4)
| c_in(c_Main_OusumE__1(X2,c_Main_OUnionE__1(X1,c_Datatype__Universe_Ousum(X2,X0,X3,X4),tc_Datatype__Universe_Onode(X3,X4)),X3,X4),X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ c_in(X1,c_Union(c_Datatype__Universe_Ousum(X2,X0,X3,X4),tc_Datatype__Universe_Onode(X3,X4)),tc_Datatype__Universe_Onode(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1246])]) ).
fof(f4967,plain,
( ! [X2,X3,X0,X1,X4] :
( c_Main_OUnionE__1(X1,c_Datatype__Universe_Ousum(X2,X0,X3,X4),tc_Datatype__Universe_Onode(X3,X4)) = c_Datatype__Universe_OIn1(c_Main_OusumE__2(X0,c_Main_OUnionE__1(X1,c_Datatype__Universe_Ousum(X2,X0,X3,X4),tc_Datatype__Universe_Onode(X3,X4)),X3,X4),X3,X4)
| c_in(c_Main_OusumE__1(X2,c_Main_OUnionE__1(X1,c_Datatype__Universe_Ousum(X2,X0,X3,X4),tc_Datatype__Universe_Onode(X3,X4)),X3,X4),X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ c_in(X1,c_Union(c_Datatype__Universe_Ousum(X2,X0,X3,X4),tc_Datatype__Universe_Onode(X3,X4)),tc_Datatype__Universe_Onode(X3,X4)) )
| ~ spl0_489
| ~ spl0_601 ),
inference(resolution,[],[f4942,f3940]) ).
fof(f39759,plain,
( spl0_1245
| ~ spl0_488
| ~ spl0_601 ),
inference(avatar_split_clause,[],[f4966,f4941,f3935,f39757]) ).
fof(f39757,plain,
( spl0_1245
<=> ! [X4,X0,X3,X2,X1] :
( c_Main_OInterI__1(X1,c_Datatype__Universe_Ousum(X2,X0,X3,X4),tc_Datatype__Universe_Onode(X3,X4)) = c_Datatype__Universe_OIn1(c_Main_OusumE__2(X0,c_Main_OInterI__1(X1,c_Datatype__Universe_Ousum(X2,X0,X3,X4),tc_Datatype__Universe_Onode(X3,X4)),X3,X4),X3,X4)
| c_in(c_Main_OusumE__1(X2,c_Main_OInterI__1(X1,c_Datatype__Universe_Ousum(X2,X0,X3,X4),tc_Datatype__Universe_Onode(X3,X4)),X3,X4),X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_in(X1,c_Inter(c_Datatype__Universe_Ousum(X2,X0,X3,X4),tc_Datatype__Universe_Onode(X3,X4)),tc_Datatype__Universe_Onode(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1245])]) ).
fof(f4966,plain,
( ! [X2,X3,X0,X1,X4] :
( c_Main_OInterI__1(X1,c_Datatype__Universe_Ousum(X2,X0,X3,X4),tc_Datatype__Universe_Onode(X3,X4)) = c_Datatype__Universe_OIn1(c_Main_OusumE__2(X0,c_Main_OInterI__1(X1,c_Datatype__Universe_Ousum(X2,X0,X3,X4),tc_Datatype__Universe_Onode(X3,X4)),X3,X4),X3,X4)
| c_in(c_Main_OusumE__1(X2,c_Main_OInterI__1(X1,c_Datatype__Universe_Ousum(X2,X0,X3,X4),tc_Datatype__Universe_Onode(X3,X4)),X3,X4),X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_in(X1,c_Inter(c_Datatype__Universe_Ousum(X2,X0,X3,X4),tc_Datatype__Universe_Onode(X3,X4)),tc_Datatype__Universe_Onode(X3,X4)) )
| ~ spl0_488
| ~ spl0_601 ),
inference(resolution,[],[f4942,f3936]) ).
fof(f39755,plain,
( spl0_1244
| ~ spl0_489
| ~ spl0_600 ),
inference(avatar_split_clause,[],[f4959,f4937,f3939,f39753]) ).
fof(f39753,plain,
( spl0_1244
<=> ! [X4,X0,X3,X2,X1] :
( c_Main_OUnionE__1(X1,c_Datatype__Universe_Ousum(X0,X2,X3,X4),tc_Datatype__Universe_Onode(X3,X4)) = c_Datatype__Universe_OIn0(c_Main_OusumE__1(X0,c_Main_OUnionE__1(X1,c_Datatype__Universe_Ousum(X0,X2,X3,X4),tc_Datatype__Universe_Onode(X3,X4)),X3,X4),X3,X4)
| c_in(c_Main_OusumE__2(X2,c_Main_OUnionE__1(X1,c_Datatype__Universe_Ousum(X0,X2,X3,X4),tc_Datatype__Universe_Onode(X3,X4)),X3,X4),X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ c_in(X1,c_Union(c_Datatype__Universe_Ousum(X0,X2,X3,X4),tc_Datatype__Universe_Onode(X3,X4)),tc_Datatype__Universe_Onode(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1244])]) ).
fof(f4959,plain,
( ! [X2,X3,X0,X1,X4] :
( c_Main_OUnionE__1(X1,c_Datatype__Universe_Ousum(X0,X2,X3,X4),tc_Datatype__Universe_Onode(X3,X4)) = c_Datatype__Universe_OIn0(c_Main_OusumE__1(X0,c_Main_OUnionE__1(X1,c_Datatype__Universe_Ousum(X0,X2,X3,X4),tc_Datatype__Universe_Onode(X3,X4)),X3,X4),X3,X4)
| c_in(c_Main_OusumE__2(X2,c_Main_OUnionE__1(X1,c_Datatype__Universe_Ousum(X0,X2,X3,X4),tc_Datatype__Universe_Onode(X3,X4)),X3,X4),X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ c_in(X1,c_Union(c_Datatype__Universe_Ousum(X0,X2,X3,X4),tc_Datatype__Universe_Onode(X3,X4)),tc_Datatype__Universe_Onode(X3,X4)) )
| ~ spl0_489
| ~ spl0_600 ),
inference(resolution,[],[f4938,f3940]) ).
fof(f39751,plain,
( spl0_1243
| ~ spl0_488
| ~ spl0_600 ),
inference(avatar_split_clause,[],[f4958,f4937,f3935,f39749]) ).
fof(f39749,plain,
( spl0_1243
<=> ! [X4,X0,X3,X2,X1] :
( c_Main_OInterI__1(X1,c_Datatype__Universe_Ousum(X0,X2,X3,X4),tc_Datatype__Universe_Onode(X3,X4)) = c_Datatype__Universe_OIn0(c_Main_OusumE__1(X0,c_Main_OInterI__1(X1,c_Datatype__Universe_Ousum(X0,X2,X3,X4),tc_Datatype__Universe_Onode(X3,X4)),X3,X4),X3,X4)
| c_in(c_Main_OusumE__2(X2,c_Main_OInterI__1(X1,c_Datatype__Universe_Ousum(X0,X2,X3,X4),tc_Datatype__Universe_Onode(X3,X4)),X3,X4),X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_in(X1,c_Inter(c_Datatype__Universe_Ousum(X0,X2,X3,X4),tc_Datatype__Universe_Onode(X3,X4)),tc_Datatype__Universe_Onode(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1243])]) ).
fof(f4958,plain,
( ! [X2,X3,X0,X1,X4] :
( c_Main_OInterI__1(X1,c_Datatype__Universe_Ousum(X0,X2,X3,X4),tc_Datatype__Universe_Onode(X3,X4)) = c_Datatype__Universe_OIn0(c_Main_OusumE__1(X0,c_Main_OInterI__1(X1,c_Datatype__Universe_Ousum(X0,X2,X3,X4),tc_Datatype__Universe_Onode(X3,X4)),X3,X4),X3,X4)
| c_in(c_Main_OusumE__2(X2,c_Main_OInterI__1(X1,c_Datatype__Universe_Ousum(X0,X2,X3,X4),tc_Datatype__Universe_Onode(X3,X4)),X3,X4),X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_in(X1,c_Inter(c_Datatype__Universe_Ousum(X0,X2,X3,X4),tc_Datatype__Universe_Onode(X3,X4)),tc_Datatype__Universe_Onode(X3,X4)) )
| ~ spl0_488
| ~ spl0_600 ),
inference(resolution,[],[f4938,f3936]) ).
fof(f39747,plain,
( spl0_1242
| ~ spl0_575
| ~ spl0_590 ),
inference(avatar_split_clause,[],[f4859,f4831,f4578,f39745]) ).
fof(f39745,plain,
( spl0_1242
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ c_in(X0,c_Relation_Oconverse(c_Relation_OImage(X1,c_insert(X2,c_emptyset,X3),X3,tc_prod(X4,X5)),X4,X5),tc_prod(X5,X4))
| c_in(c_Pair(X2,c_Pair(c_Main_OconverseE__1(c_Relation_OImage(X1,c_insert(X2,c_emptyset,X3),X3,tc_prod(X4,X5)),X0,X4,X5),c_Main_OconverseE__2(c_Relation_OImage(X1,c_insert(X2,c_emptyset,X3),X3,tc_prod(X4,X5)),X0,X4,X5),X4,X5),X3,tc_prod(X4,X5)),X1,tc_prod(X3,tc_prod(X4,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1242])]) ).
fof(f4859,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Relation_Oconverse(c_Relation_OImage(X1,c_insert(X2,c_emptyset,X3),X3,tc_prod(X4,X5)),X4,X5),tc_prod(X5,X4))
| c_in(c_Pair(X2,c_Pair(c_Main_OconverseE__1(c_Relation_OImage(X1,c_insert(X2,c_emptyset,X3),X3,tc_prod(X4,X5)),X0,X4,X5),c_Main_OconverseE__2(c_Relation_OImage(X1,c_insert(X2,c_emptyset,X3),X3,tc_prod(X4,X5)),X0,X4,X5),X4,X5),X3,tc_prod(X4,X5)),X1,tc_prod(X3,tc_prod(X4,X5))) )
| ~ spl0_575
| ~ spl0_590 ),
inference(resolution,[],[f4832,f4579]) ).
fof(f39743,plain,
( spl0_1241
| ~ spl0_581
| ~ spl0_584 ),
inference(avatar_split_clause,[],[f4812,f4790,f4702,f39741]) ).
fof(f39741,plain,
( spl0_1241
<=> ! [X4,X0,X3,X2,X1] :
( c_Pair(c_Main_OImageE__1(X1,X2,c_Relation_Oconverse(X0,X3,X4),X4,X3),X2,X4,X3) = c_Pair(c_Main_OconverseE__2(X0,c_Pair(c_Main_OImageE__1(X1,X2,c_Relation_Oconverse(X0,X3,X4),X4,X3),X2,X4,X3),X3,X4),c_Main_OconverseE__1(X0,c_Pair(c_Main_OImageE__1(X1,X2,c_Relation_Oconverse(X0,X3,X4),X4,X3),X2,X4,X3),X3,X4),X4,X3)
| ~ c_in(X2,c_Relation_OImage(c_Relation_Oconverse(X0,X3,X4),X1,X4,X3),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1241])]) ).
fof(f4812,plain,
( ! [X2,X3,X0,X1,X4] :
( c_Pair(c_Main_OImageE__1(X1,X2,c_Relation_Oconverse(X0,X3,X4),X4,X3),X2,X4,X3) = c_Pair(c_Main_OconverseE__2(X0,c_Pair(c_Main_OImageE__1(X1,X2,c_Relation_Oconverse(X0,X3,X4),X4,X3),X2,X4,X3),X3,X4),c_Main_OconverseE__1(X0,c_Pair(c_Main_OImageE__1(X1,X2,c_Relation_Oconverse(X0,X3,X4),X4,X3),X2,X4,X3),X3,X4),X4,X3)
| ~ c_in(X2,c_Relation_OImage(c_Relation_Oconverse(X0,X3,X4),X1,X4,X3),X3) )
| ~ spl0_581
| ~ spl0_584 ),
inference(resolution,[],[f4791,f4703]) ).
fof(f39727,plain,
( spl0_1240
| ~ spl0_429
| ~ spl0_597 ),
inference(avatar_split_clause,[],[f4920,f4909,f3596,f39725]) ).
fof(f39725,plain,
( spl0_1240
<=> ! [X3,X4,X0,X5,X2,X1] :
( c_Main_OsubsetI__1(c_Relation_Orel__comp(X0,X1,X2,X3,X4),X5,tc_prod(X4,X3)) = c_Pair(c_Main_Orel__compE__1(X0,X1,c_Main_OsubsetI__1(c_Relation_Orel__comp(X0,X1,X2,X3,X4),X5,tc_prod(X4,X3)),X2,X3,X4),c_Main_Orel__compE__3(X0,X1,c_Main_OsubsetI__1(c_Relation_Orel__comp(X0,X1,X2,X3,X4),X5,tc_prod(X4,X3)),X2,X3,X4),X4,X3)
| c_lessequals(c_Relation_Orel__comp(X0,X1,X2,X3,X4),X5,tc_set(tc_prod(X4,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1240])]) ).
fof(f4920,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( c_Main_OsubsetI__1(c_Relation_Orel__comp(X0,X1,X2,X3,X4),X5,tc_prod(X4,X3)) = c_Pair(c_Main_Orel__compE__1(X0,X1,c_Main_OsubsetI__1(c_Relation_Orel__comp(X0,X1,X2,X3,X4),X5,tc_prod(X4,X3)),X2,X3,X4),c_Main_Orel__compE__3(X0,X1,c_Main_OsubsetI__1(c_Relation_Orel__comp(X0,X1,X2,X3,X4),X5,tc_prod(X4,X3)),X2,X3,X4),X4,X3)
| c_lessequals(c_Relation_Orel__comp(X0,X1,X2,X3,X4),X5,tc_set(tc_prod(X4,X3))) )
| ~ spl0_429
| ~ spl0_597 ),
inference(resolution,[],[f4910,f3597]) ).
fof(f39530,plain,
( spl0_1239
| ~ spl0_429
| ~ spl0_593 ),
inference(avatar_split_clause,[],[f4895,f4879,f3596,f39528]) ).
fof(f39528,plain,
( spl0_1239
<=> ! [X4,X0,X3,X2,X1] :
( c_Main_OsubsetI__1(c_Datatype__Universe_Ouprod(X0,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3))) = c_Datatype__Universe_OScons(c_Main_OuprodE__1(X0,X1,c_Main_OsubsetI__1(c_Datatype__Universe_Ouprod(X0,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),c_Main_OuprodE__2(X0,X1,c_Main_OsubsetI__1(c_Datatype__Universe_Ouprod(X0,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X2,X3)
| c_lessequals(c_Datatype__Universe_Ouprod(X0,X1,X2,X3),X4,tc_set(tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1239])]) ).
fof(f4895,plain,
( ! [X2,X3,X0,X1,X4] :
( c_Main_OsubsetI__1(c_Datatype__Universe_Ouprod(X0,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3))) = c_Datatype__Universe_OScons(c_Main_OuprodE__1(X0,X1,c_Main_OsubsetI__1(c_Datatype__Universe_Ouprod(X0,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),c_Main_OuprodE__2(X0,X1,c_Main_OsubsetI__1(c_Datatype__Universe_Ouprod(X0,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X2,X3)
| c_lessequals(c_Datatype__Universe_Ouprod(X0,X1,X2,X3),X4,tc_set(tc_set(tc_Datatype__Universe_Onode(X2,X3)))) )
| ~ spl0_429
| ~ spl0_593 ),
inference(resolution,[],[f4880,f3597]) ).
fof(f39526,plain,
( spl0_1238
| ~ spl0_579
| ~ spl0_593 ),
inference(avatar_split_clause,[],[f4892,f4879,f4694,f39524]) ).
fof(f39524,plain,
( spl0_1238
<=> ! [X2,X3,X4,X0,X5,X1] :
( c_Main_OuprodE__2(X2,c_Datatype__Universe_Ouprod(X0,X1,X3,X4),X5,X3,X4) = c_Datatype__Universe_OScons(c_Main_OuprodE__1(X0,X1,c_Main_OuprodE__2(X2,c_Datatype__Universe_Ouprod(X0,X1,X3,X4),X5,X3,X4),X3,X4),c_Main_OuprodE__2(X0,X1,c_Main_OuprodE__2(X2,c_Datatype__Universe_Ouprod(X0,X1,X3,X4),X5,X3,X4),X3,X4),X3,X4)
| ~ c_in(X5,c_Datatype__Universe_Ouprod(X2,c_Datatype__Universe_Ouprod(X0,X1,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1238])]) ).
fof(f4892,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( c_Main_OuprodE__2(X2,c_Datatype__Universe_Ouprod(X0,X1,X3,X4),X5,X3,X4) = c_Datatype__Universe_OScons(c_Main_OuprodE__1(X0,X1,c_Main_OuprodE__2(X2,c_Datatype__Universe_Ouprod(X0,X1,X3,X4),X5,X3,X4),X3,X4),c_Main_OuprodE__2(X0,X1,c_Main_OuprodE__2(X2,c_Datatype__Universe_Ouprod(X0,X1,X3,X4),X5,X3,X4),X3,X4),X3,X4)
| ~ c_in(X5,c_Datatype__Universe_Ouprod(X2,c_Datatype__Universe_Ouprod(X0,X1,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) )
| ~ spl0_579
| ~ spl0_593 ),
inference(resolution,[],[f4880,f4695]) ).
fof(f39522,plain,
( spl0_1237
| ~ spl0_580
| ~ spl0_593 ),
inference(avatar_split_clause,[],[f4891,f4879,f4698,f39520]) ).
fof(f39520,plain,
( spl0_1237
<=> ! [X3,X4,X0,X5,X2,X1] :
( c_Main_OuprodE__1(c_Datatype__Universe_Ouprod(X0,X1,X2,X3),X4,X5,X2,X3) = c_Datatype__Universe_OScons(c_Main_OuprodE__1(X0,X1,c_Main_OuprodE__1(c_Datatype__Universe_Ouprod(X0,X1,X2,X3),X4,X5,X2,X3),X2,X3),c_Main_OuprodE__2(X0,X1,c_Main_OuprodE__1(c_Datatype__Universe_Ouprod(X0,X1,X2,X3),X4,X5,X2,X3),X2,X3),X2,X3)
| ~ c_in(X5,c_Datatype__Universe_Ouprod(c_Datatype__Universe_Ouprod(X0,X1,X2,X3),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1237])]) ).
fof(f4891,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( c_Main_OuprodE__1(c_Datatype__Universe_Ouprod(X0,X1,X2,X3),X4,X5,X2,X3) = c_Datatype__Universe_OScons(c_Main_OuprodE__1(X0,X1,c_Main_OuprodE__1(c_Datatype__Universe_Ouprod(X0,X1,X2,X3),X4,X5,X2,X3),X2,X3),c_Main_OuprodE__2(X0,X1,c_Main_OuprodE__1(c_Datatype__Universe_Ouprod(X0,X1,X2,X3),X4,X5,X2,X3),X2,X3),X2,X3)
| ~ c_in(X5,c_Datatype__Universe_Ouprod(c_Datatype__Universe_Ouprod(X0,X1,X2,X3),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) )
| ~ spl0_580
| ~ spl0_593 ),
inference(resolution,[],[f4880,f4699]) ).
fof(f39154,plain,
( spl0_1236
| ~ spl0_489
| ~ spl0_593 ),
inference(avatar_split_clause,[],[f4894,f4879,f3939,f39152]) ).
fof(f39152,plain,
( spl0_1236
<=> ! [X2,X4,X0,X3,X1] :
( c_Main_OUnionE__1(X2,c_Datatype__Universe_Ouprod(X0,X1,X3,X4),tc_Datatype__Universe_Onode(X3,X4)) = c_Datatype__Universe_OScons(c_Main_OuprodE__1(X0,X1,c_Main_OUnionE__1(X2,c_Datatype__Universe_Ouprod(X0,X1,X3,X4),tc_Datatype__Universe_Onode(X3,X4)),X3,X4),c_Main_OuprodE__2(X0,X1,c_Main_OUnionE__1(X2,c_Datatype__Universe_Ouprod(X0,X1,X3,X4),tc_Datatype__Universe_Onode(X3,X4)),X3,X4),X3,X4)
| ~ c_in(X2,c_Union(c_Datatype__Universe_Ouprod(X0,X1,X3,X4),tc_Datatype__Universe_Onode(X3,X4)),tc_Datatype__Universe_Onode(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1236])]) ).
fof(f4894,plain,
( ! [X2,X3,X0,X1,X4] :
( c_Main_OUnionE__1(X2,c_Datatype__Universe_Ouprod(X0,X1,X3,X4),tc_Datatype__Universe_Onode(X3,X4)) = c_Datatype__Universe_OScons(c_Main_OuprodE__1(X0,X1,c_Main_OUnionE__1(X2,c_Datatype__Universe_Ouprod(X0,X1,X3,X4),tc_Datatype__Universe_Onode(X3,X4)),X3,X4),c_Main_OuprodE__2(X0,X1,c_Main_OUnionE__1(X2,c_Datatype__Universe_Ouprod(X0,X1,X3,X4),tc_Datatype__Universe_Onode(X3,X4)),X3,X4),X3,X4)
| ~ c_in(X2,c_Union(c_Datatype__Universe_Ouprod(X0,X1,X3,X4),tc_Datatype__Universe_Onode(X3,X4)),tc_Datatype__Universe_Onode(X3,X4)) )
| ~ spl0_489
| ~ spl0_593 ),
inference(resolution,[],[f4880,f3940]) ).
fof(f39150,plain,
( spl0_1235
| ~ spl0_488
| ~ spl0_593 ),
inference(avatar_split_clause,[],[f4893,f4879,f3935,f39148]) ).
fof(f39148,plain,
( spl0_1235
<=> ! [X2,X4,X0,X3,X1] :
( c_Main_OInterI__1(X2,c_Datatype__Universe_Ouprod(X0,X1,X3,X4),tc_Datatype__Universe_Onode(X3,X4)) = c_Datatype__Universe_OScons(c_Main_OuprodE__1(X0,X1,c_Main_OInterI__1(X2,c_Datatype__Universe_Ouprod(X0,X1,X3,X4),tc_Datatype__Universe_Onode(X3,X4)),X3,X4),c_Main_OuprodE__2(X0,X1,c_Main_OInterI__1(X2,c_Datatype__Universe_Ouprod(X0,X1,X3,X4),tc_Datatype__Universe_Onode(X3,X4)),X3,X4),X3,X4)
| c_in(X2,c_Inter(c_Datatype__Universe_Ouprod(X0,X1,X3,X4),tc_Datatype__Universe_Onode(X3,X4)),tc_Datatype__Universe_Onode(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1235])]) ).
fof(f4893,plain,
( ! [X2,X3,X0,X1,X4] :
( c_Main_OInterI__1(X2,c_Datatype__Universe_Ouprod(X0,X1,X3,X4),tc_Datatype__Universe_Onode(X3,X4)) = c_Datatype__Universe_OScons(c_Main_OuprodE__1(X0,X1,c_Main_OInterI__1(X2,c_Datatype__Universe_Ouprod(X0,X1,X3,X4),tc_Datatype__Universe_Onode(X3,X4)),X3,X4),c_Main_OuprodE__2(X0,X1,c_Main_OInterI__1(X2,c_Datatype__Universe_Ouprod(X0,X1,X3,X4),tc_Datatype__Universe_Onode(X3,X4)),X3,X4),X3,X4)
| c_in(X2,c_Inter(c_Datatype__Universe_Ouprod(X0,X1,X3,X4),tc_Datatype__Universe_Onode(X3,X4)),tc_Datatype__Universe_Onode(X3,X4)) )
| ~ spl0_488
| ~ spl0_593 ),
inference(resolution,[],[f4880,f3936]) ).
fof(f39146,plain,
( spl0_1234
| ~ spl0_570
| ~ spl0_584 ),
inference(avatar_split_clause,[],[f4811,f4790,f4557,f39144]) ).
fof(f39144,plain,
( spl0_1234
<=> ! [X0,X3,X2,X1] :
( c_Pair(c_Main_ORangeE__1(X1,c_Relation_Oconverse(X0,X2,X3),X2,X3),X1,X3,X2) = c_Pair(c_Main_OconverseE__2(X0,c_Pair(c_Main_ORangeE__1(X1,c_Relation_Oconverse(X0,X2,X3),X2,X3),X1,X3,X2),X2,X3),c_Main_OconverseE__1(X0,c_Pair(c_Main_ORangeE__1(X1,c_Relation_Oconverse(X0,X2,X3),X2,X3),X1,X3,X2),X2,X3),X3,X2)
| ~ c_in(X1,c_Relation_ORange(c_Relation_Oconverse(X0,X2,X3),X3,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1234])]) ).
fof(f4811,plain,
( ! [X2,X3,X0,X1] :
( c_Pair(c_Main_ORangeE__1(X1,c_Relation_Oconverse(X0,X2,X3),X2,X3),X1,X3,X2) = c_Pair(c_Main_OconverseE__2(X0,c_Pair(c_Main_ORangeE__1(X1,c_Relation_Oconverse(X0,X2,X3),X2,X3),X1,X3,X2),X2,X3),c_Main_OconverseE__1(X0,c_Pair(c_Main_ORangeE__1(X1,c_Relation_Oconverse(X0,X2,X3),X2,X3),X1,X3,X2),X2,X3),X3,X2)
| ~ c_in(X1,c_Relation_ORange(c_Relation_Oconverse(X0,X2,X3),X3,X2),X2) )
| ~ spl0_570
| ~ spl0_584 ),
inference(resolution,[],[f4791,f4558]) ).
fof(f39131,plain,
( spl0_1233
| ~ spl0_569
| ~ spl0_584 ),
inference(avatar_split_clause,[],[f4810,f4790,f4553,f39129]) ).
fof(f39129,plain,
( spl0_1233
<=> ! [X0,X3,X2,X1] :
( c_Pair(X1,c_Main_ODomainE__1(X1,c_Relation_Oconverse(X0,X2,X3),X3,X2),X3,X2) = c_Pair(c_Main_OconverseE__2(X0,c_Pair(X1,c_Main_ODomainE__1(X1,c_Relation_Oconverse(X0,X2,X3),X3,X2),X3,X2),X2,X3),c_Main_OconverseE__1(X0,c_Pair(X1,c_Main_ODomainE__1(X1,c_Relation_Oconverse(X0,X2,X3),X3,X2),X3,X2),X2,X3),X3,X2)
| ~ c_in(X1,c_Relation_ODomain(c_Relation_Oconverse(X0,X2,X3),X3,X2),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1233])]) ).
fof(f4810,plain,
( ! [X2,X3,X0,X1] :
( c_Pair(X1,c_Main_ODomainE__1(X1,c_Relation_Oconverse(X0,X2,X3),X3,X2),X3,X2) = c_Pair(c_Main_OconverseE__2(X0,c_Pair(X1,c_Main_ODomainE__1(X1,c_Relation_Oconverse(X0,X2,X3),X3,X2),X3,X2),X2,X3),c_Main_OconverseE__1(X0,c_Pair(X1,c_Main_ODomainE__1(X1,c_Relation_Oconverse(X0,X2,X3),X3,X2),X3,X2),X2,X3),X3,X2)
| ~ c_in(X1,c_Relation_ODomain(c_Relation_Oconverse(X0,X2,X3),X3,X2),X3) )
| ~ spl0_569
| ~ spl0_584 ),
inference(resolution,[],[f4791,f4554]) ).
fof(f39038,plain,
( spl0_1232
| ~ spl0_611
| ~ spl0_613 ),
inference(avatar_split_clause,[],[f5127,f5112,f5070,f39036]) ).
fof(f39036,plain,
( spl0_1232
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ c_in(c_Pair(X0,c_List_Olist_OCons(X1,X2,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olistrel(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))
| ~ c_in(c_Pair(X5,c_Main_Olistrel__Cons2__2(X4,X0,X1,X2,X3),X6,tc_List_Olist(X3)),X7,tc_prod(X6,tc_List_Olist(X3)))
| c_in(c_Pair(X5,X2,X6,tc_List_Olist(X3)),c_Relation_Orel__comp(c_List_Olistrel(X4,X3),X7,tc_List_Olist(X3),tc_List_Olist(X3),X6),tc_prod(X6,tc_List_Olist(X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1232])]) ).
fof(f5127,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ c_in(c_Pair(X0,c_List_Olist_OCons(X1,X2,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olistrel(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))
| ~ c_in(c_Pair(X5,c_Main_Olistrel__Cons2__2(X4,X0,X1,X2,X3),X6,tc_List_Olist(X3)),X7,tc_prod(X6,tc_List_Olist(X3)))
| c_in(c_Pair(X5,X2,X6,tc_List_Olist(X3)),c_Relation_Orel__comp(c_List_Olistrel(X4,X3),X7,tc_List_Olist(X3),tc_List_Olist(X3),X6),tc_prod(X6,tc_List_Olist(X3))) )
| ~ spl0_611
| ~ spl0_613 ),
inference(resolution,[],[f5113,f5071]) ).
fof(f39034,plain,
( spl0_1231
| ~ spl0_611
| ~ spl0_612 ),
inference(avatar_split_clause,[],[f5120,f5108,f5070,f39032]) ).
fof(f39032,plain,
( spl0_1231
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),X3,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X4,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
| ~ c_in(c_Pair(X5,X1,X6,tc_List_Olist(X2)),X7,tc_prod(X6,tc_List_Olist(X2)))
| c_in(c_Pair(X5,c_Main_Olistrel__Cons1__2(X4,X3,X0,X1,X2),X6,tc_List_Olist(X2)),c_Relation_Orel__comp(c_List_Olistrel(X4,X2),X7,tc_List_Olist(X2),tc_List_Olist(X2),X6),tc_prod(X6,tc_List_Olist(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1231])]) ).
fof(f5120,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),X3,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X4,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
| ~ c_in(c_Pair(X5,X1,X6,tc_List_Olist(X2)),X7,tc_prod(X6,tc_List_Olist(X2)))
| c_in(c_Pair(X5,c_Main_Olistrel__Cons1__2(X4,X3,X0,X1,X2),X6,tc_List_Olist(X2)),c_Relation_Orel__comp(c_List_Olistrel(X4,X2),X7,tc_List_Olist(X2),tc_List_Olist(X2),X6),tc_prod(X6,tc_List_Olist(X2))) )
| ~ spl0_611
| ~ spl0_612 ),
inference(resolution,[],[f5109,f5071]) ).
fof(f37919,plain,
( spl0_1230
| ~ spl0_577
| ~ spl0_618 ),
inference(avatar_split_clause,[],[f5215,f5207,f4660,f37917]) ).
fof(f37917,plain,
( spl0_1230
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ c_in(c_Pair(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_in(c_Datatype__Universe_OIn1(X1,X2,X3),c_Relation_OImage(c_Datatype__Universe_Odsum(X5,X4,X2,X3),X6,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ c_in(c_Datatype__Universe_OIn1(X0,X2,X3),X6,tc_set(tc_Datatype__Universe_Onode(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1230])]) ).
fof(f5215,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_in(c_Pair(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_in(c_Datatype__Universe_OIn1(X1,X2,X3),c_Relation_OImage(c_Datatype__Universe_Odsum(X5,X4,X2,X3),X6,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ c_in(c_Datatype__Universe_OIn1(X0,X2,X3),X6,tc_set(tc_Datatype__Universe_Onode(X2,X3))) )
| ~ spl0_577
| ~ spl0_618 ),
inference(resolution,[],[f5208,f4661]) ).
fof(f37915,plain,
( spl0_1229
| ~ spl0_577
| ~ spl0_617 ),
inference(avatar_split_clause,[],[f5211,f5203,f4660,f37913]) ).
fof(f37913,plain,
( spl0_1229
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ c_in(c_Pair(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_in(c_Datatype__Universe_OIn0(X1,X2,X3),c_Relation_OImage(c_Datatype__Universe_Odsum(X4,X5,X2,X3),X6,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ c_in(c_Datatype__Universe_OIn0(X0,X2,X3),X6,tc_set(tc_Datatype__Universe_Onode(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1229])]) ).
fof(f5211,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_in(c_Pair(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_in(c_Datatype__Universe_OIn0(X1,X2,X3),c_Relation_OImage(c_Datatype__Universe_Odsum(X4,X5,X2,X3),X6,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ c_in(c_Datatype__Universe_OIn0(X0,X2,X3),X6,tc_set(tc_Datatype__Universe_Onode(X2,X3))) )
| ~ spl0_577
| ~ spl0_617 ),
inference(resolution,[],[f5204,f4661]) ).
fof(f37911,plain,
( spl0_1228
| ~ spl0_535
| ~ spl0_606 ),
inference(avatar_split_clause,[],[f5034,f4978,f4293,f37909]) ).
fof(f37909,plain,
( spl0_1228
<=> ! [X5,X4,X2,X7,X0,X6,X3,X1] :
( ~ c_in(X0,c_Relation_Orel__comp(X1,c_Relation_OImage(X2,X3,X4,tc_prod(X5,X6)),X6,X7,X5),tc_prod(X5,X7))
| c_in(c_Main_OImageE__1(X3,c_Pair(c_Main_Orel__compE__1(X1,c_Relation_OImage(X2,X3,X4,tc_prod(X5,X6)),X0,X6,X7,X5),c_Main_Orel__compE__2(X1,c_Relation_OImage(X2,X3,X4,tc_prod(X5,X6)),X0,X6,X7,X5),X5,X6),X2,X4,tc_prod(X5,X6)),X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1228])]) ).
fof(f5034,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ c_in(X0,c_Relation_Orel__comp(X1,c_Relation_OImage(X2,X3,X4,tc_prod(X5,X6)),X6,X7,X5),tc_prod(X5,X7))
| c_in(c_Main_OImageE__1(X3,c_Pair(c_Main_Orel__compE__1(X1,c_Relation_OImage(X2,X3,X4,tc_prod(X5,X6)),X0,X6,X7,X5),c_Main_Orel__compE__2(X1,c_Relation_OImage(X2,X3,X4,tc_prod(X5,X6)),X0,X6,X7,X5),X5,X6),X2,X4,tc_prod(X5,X6)),X3,X4) )
| ~ spl0_535
| ~ spl0_606 ),
inference(resolution,[],[f4979,f4294]) ).
fof(f37907,plain,
( spl0_1227
| ~ spl0_535
| ~ spl0_605 ),
inference(avatar_split_clause,[],[f5004,f4974,f4293,f37905]) ).
fof(f37905,plain,
( spl0_1227
<=> ! [X5,X4,X2,X7,X0,X6,X3,X1] :
( ~ c_in(X0,c_Relation_Orel__comp(c_Relation_OImage(X1,X2,X3,tc_prod(X4,X5)),X6,X4,X5,X7),tc_prod(X7,X5))
| c_in(c_Main_OImageE__1(X2,c_Pair(c_Main_Orel__compE__2(c_Relation_OImage(X1,X2,X3,tc_prod(X4,X5)),X6,X0,X4,X5,X7),c_Main_Orel__compE__3(c_Relation_OImage(X1,X2,X3,tc_prod(X4,X5)),X6,X0,X4,X5,X7),X4,X5),X1,X3,tc_prod(X4,X5)),X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1227])]) ).
fof(f5004,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ c_in(X0,c_Relation_Orel__comp(c_Relation_OImage(X1,X2,X3,tc_prod(X4,X5)),X6,X4,X5,X7),tc_prod(X7,X5))
| c_in(c_Main_OImageE__1(X2,c_Pair(c_Main_Orel__compE__2(c_Relation_OImage(X1,X2,X3,tc_prod(X4,X5)),X6,X0,X4,X5,X7),c_Main_Orel__compE__3(c_Relation_OImage(X1,X2,X3,tc_prod(X4,X5)),X6,X0,X4,X5,X7),X4,X5),X1,X3,tc_prod(X4,X5)),X2,X3) )
| ~ spl0_535
| ~ spl0_605 ),
inference(resolution,[],[f4975,f4294]) ).
fof(f37903,plain,
( spl0_1226
| ~ spl0_429
| ~ spl0_595 ),
inference(avatar_split_clause,[],[f4901,f4887,f3596,f37901]) ).
fof(f37901,plain,
( spl0_1226
<=> ! [X4,X0,X3,X2,X1] :
( c_in(c_Main_OPlusE__1(X0,c_Main_OsubsetI__1(c_Sum__Type_OPlus(X0,X1,X2,X3),X4,tc_sum(X2,X3)),X2,X3),X0,X2)
| c_Main_OsubsetI__1(c_Sum__Type_OPlus(X0,X1,X2,X3),X4,tc_sum(X2,X3)) = c_Sum__Type_OInr(c_Main_OPlusE__2(X1,c_Main_OsubsetI__1(c_Sum__Type_OPlus(X0,X1,X2,X3),X4,tc_sum(X2,X3)),X3,X2),X3,X2)
| c_lessequals(c_Sum__Type_OPlus(X0,X1,X2,X3),X4,tc_set(tc_sum(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1226])]) ).
fof(f4887,plain,
( spl0_595
<=> ! [X2,X14,X13,X12,X1] :
( c_in(c_Main_OPlusE__1(X12,X14,X1,X2),X12,X1)
| ~ c_in(X14,c_Sum__Type_OPlus(X12,X13,X1,X2),tc_sum(X1,X2))
| c_Sum__Type_OInr(c_Main_OPlusE__2(X13,X14,X2,X1),X2,X1) = X14 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_595])]) ).
fof(f4901,plain,
( ! [X2,X3,X0,X1,X4] :
( c_in(c_Main_OPlusE__1(X0,c_Main_OsubsetI__1(c_Sum__Type_OPlus(X0,X1,X2,X3),X4,tc_sum(X2,X3)),X2,X3),X0,X2)
| c_Main_OsubsetI__1(c_Sum__Type_OPlus(X0,X1,X2,X3),X4,tc_sum(X2,X3)) = c_Sum__Type_OInr(c_Main_OPlusE__2(X1,c_Main_OsubsetI__1(c_Sum__Type_OPlus(X0,X1,X2,X3),X4,tc_sum(X2,X3)),X3,X2),X3,X2)
| c_lessequals(c_Sum__Type_OPlus(X0,X1,X2,X3),X4,tc_set(tc_sum(X2,X3))) )
| ~ spl0_429
| ~ spl0_595 ),
inference(resolution,[],[f4888,f3597]) ).
fof(f4888,plain,
( ! [X2,X1,X14,X12,X13] :
( ~ c_in(X14,c_Sum__Type_OPlus(X12,X13,X1,X2),tc_sum(X1,X2))
| c_in(c_Main_OPlusE__1(X12,X14,X1,X2),X12,X1)
| c_Sum__Type_OInr(c_Main_OPlusE__2(X13,X14,X2,X1),X2,X1) = X14 )
| ~ spl0_595 ),
inference(avatar_component_clause,[],[f4887]) ).
fof(f37899,plain,
( spl0_1225
| ~ spl0_429
| ~ spl0_594 ),
inference(avatar_split_clause,[],[f4898,f4883,f3596,f37897]) ).
fof(f37897,plain,
( spl0_1225
<=> ! [X4,X0,X3,X2,X1] :
( c_in(c_Main_OPlusE__2(X0,c_Main_OsubsetI__1(c_Sum__Type_OPlus(X1,X0,X2,X3),X4,tc_sum(X2,X3)),X3,X2),X0,X3)
| c_Main_OsubsetI__1(c_Sum__Type_OPlus(X1,X0,X2,X3),X4,tc_sum(X2,X3)) = c_Sum__Type_OInl(c_Main_OPlusE__1(X1,c_Main_OsubsetI__1(c_Sum__Type_OPlus(X1,X0,X2,X3),X4,tc_sum(X2,X3)),X2,X3),X2,X3)
| c_lessequals(c_Sum__Type_OPlus(X1,X0,X2,X3),X4,tc_set(tc_sum(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1225])]) ).
fof(f4883,plain,
( spl0_594
<=> ! [X13,X14,X12,X2,X1] :
( c_in(c_Main_OPlusE__2(X13,X14,X2,X1),X13,X2)
| ~ c_in(X14,c_Sum__Type_OPlus(X12,X13,X1,X2),tc_sum(X1,X2))
| c_Sum__Type_OInl(c_Main_OPlusE__1(X12,X14,X1,X2),X1,X2) = X14 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_594])]) ).
fof(f4898,plain,
( ! [X2,X3,X0,X1,X4] :
( c_in(c_Main_OPlusE__2(X0,c_Main_OsubsetI__1(c_Sum__Type_OPlus(X1,X0,X2,X3),X4,tc_sum(X2,X3)),X3,X2),X0,X3)
| c_Main_OsubsetI__1(c_Sum__Type_OPlus(X1,X0,X2,X3),X4,tc_sum(X2,X3)) = c_Sum__Type_OInl(c_Main_OPlusE__1(X1,c_Main_OsubsetI__1(c_Sum__Type_OPlus(X1,X0,X2,X3),X4,tc_sum(X2,X3)),X2,X3),X2,X3)
| c_lessequals(c_Sum__Type_OPlus(X1,X0,X2,X3),X4,tc_set(tc_sum(X2,X3))) )
| ~ spl0_429
| ~ spl0_594 ),
inference(resolution,[],[f4884,f3597]) ).
fof(f4884,plain,
( ! [X2,X1,X14,X12,X13] :
( ~ c_in(X14,c_Sum__Type_OPlus(X12,X13,X1,X2),tc_sum(X1,X2))
| c_in(c_Main_OPlusE__2(X13,X14,X2,X1),X13,X2)
| c_Sum__Type_OInl(c_Main_OPlusE__1(X12,X14,X1,X2),X1,X2) = X14 )
| ~ spl0_594 ),
inference(avatar_component_clause,[],[f4883]) ).
fof(f37895,plain,
( spl0_1224
| ~ spl0_534
| ~ spl0_590 ),
inference(avatar_split_clause,[],[f4857,f4831,f4289,f37893]) ).
fof(f37893,plain,
( spl0_1224
<=> ! [X0,X1] :
( ~ c_in(X0,c_Relation_Oconverse(c_Relation_OId,X1,X1),tc_prod(X1,X1))
| c_Pair(c_Main_OconverseE__1(c_Relation_OId,X0,X1,X1),c_Main_OconverseE__2(c_Relation_OId,X0,X1,X1),X1,X1) = c_Pair(c_Main_OIdE__1(c_Pair(c_Main_OconverseE__1(c_Relation_OId,X0,X1,X1),c_Main_OconverseE__2(c_Relation_OId,X0,X1,X1),X1,X1),X1),c_Main_OIdE__1(c_Pair(c_Main_OconverseE__1(c_Relation_OId,X0,X1,X1),c_Main_OconverseE__2(c_Relation_OId,X0,X1,X1),X1,X1),X1),X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1224])]) ).
fof(f4857,plain,
( ! [X0,X1] :
( ~ c_in(X0,c_Relation_Oconverse(c_Relation_OId,X1,X1),tc_prod(X1,X1))
| c_Pair(c_Main_OconverseE__1(c_Relation_OId,X0,X1,X1),c_Main_OconverseE__2(c_Relation_OId,X0,X1,X1),X1,X1) = c_Pair(c_Main_OIdE__1(c_Pair(c_Main_OconverseE__1(c_Relation_OId,X0,X1,X1),c_Main_OconverseE__2(c_Relation_OId,X0,X1,X1),X1,X1),X1),c_Main_OIdE__1(c_Pair(c_Main_OconverseE__1(c_Relation_OId,X0,X1,X1),c_Main_OconverseE__2(c_Relation_OId,X0,X1,X1),X1,X1),X1),X1,X1) )
| ~ spl0_534
| ~ spl0_590 ),
inference(resolution,[],[f4832,f4290]) ).
fof(f37879,plain,
( spl0_1223
| ~ spl0_571
| ~ spl0_581 ),
inference(avatar_split_clause,[],[f4771,f4702,f4561,f37877]) ).
fof(f37877,plain,
( spl0_1223
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_OImage(c_Relation_Odiag(X1,X2),X3,X2,X2),X2)
| c_Pair(c_Main_OImageE__1(X3,X0,c_Relation_Odiag(X1,X2),X2,X2),X0,X2,X2) = c_Pair(c_Main_OdiagE__1(X1,c_Pair(c_Main_OImageE__1(X3,X0,c_Relation_Odiag(X1,X2),X2,X2),X0,X2,X2),X2),c_Main_OdiagE__1(X1,c_Pair(c_Main_OImageE__1(X3,X0,c_Relation_Odiag(X1,X2),X2,X2),X0,X2,X2),X2),X2,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1223])]) ).
fof(f4771,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Relation_OImage(c_Relation_Odiag(X1,X2),X3,X2,X2),X2)
| c_Pair(c_Main_OImageE__1(X3,X0,c_Relation_Odiag(X1,X2),X2,X2),X0,X2,X2) = c_Pair(c_Main_OdiagE__1(X1,c_Pair(c_Main_OImageE__1(X3,X0,c_Relation_Odiag(X1,X2),X2,X2),X0,X2,X2),X2),c_Main_OdiagE__1(X1,c_Pair(c_Main_OImageE__1(X3,X0,c_Relation_Odiag(X1,X2),X2,X2),X0,X2,X2),X2),X2,X2) )
| ~ spl0_571
| ~ spl0_581 ),
inference(resolution,[],[f4703,f4562]) ).
fof(f37539,plain,
( spl0_1222
| ~ spl0_579
| ~ spl0_604 ),
inference(avatar_split_clause,[],[f4985,f4970,f4694,f37537]) ).
fof(f37537,plain,
( spl0_1222
<=> ! [X2,X4,X0,X5,X3,X1] :
( c_in(c_Main_OusumE__2(X0,c_Main_OuprodE__2(X1,c_Datatype__Universe_Ousum(X2,X0,X3,X4),X5,X3,X4),X3,X4),X0,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_in(c_Main_OusumE__1(X2,c_Main_OuprodE__2(X1,c_Datatype__Universe_Ousum(X2,X0,X3,X4),X5,X3,X4),X3,X4),X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ c_in(X5,c_Datatype__Universe_Ouprod(X1,c_Datatype__Universe_Ousum(X2,X0,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1222])]) ).
fof(f4985,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( c_in(c_Main_OusumE__2(X0,c_Main_OuprodE__2(X1,c_Datatype__Universe_Ousum(X2,X0,X3,X4),X5,X3,X4),X3,X4),X0,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_in(c_Main_OusumE__1(X2,c_Main_OuprodE__2(X1,c_Datatype__Universe_Ousum(X2,X0,X3,X4),X5,X3,X4),X3,X4),X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ c_in(X5,c_Datatype__Universe_Ouprod(X1,c_Datatype__Universe_Ousum(X2,X0,X3,X4),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) )
| ~ spl0_579
| ~ spl0_604 ),
inference(resolution,[],[f4971,f4695]) ).
fof(f37535,plain,
( spl0_1221
| ~ spl0_580
| ~ spl0_604 ),
inference(avatar_split_clause,[],[f4984,f4970,f4698,f37533]) ).
fof(f37533,plain,
( spl0_1221
<=> ! [X3,X4,X0,X5,X2,X1] :
( c_in(c_Main_OusumE__2(X0,c_Main_OuprodE__1(c_Datatype__Universe_Ousum(X1,X0,X2,X3),X4,X5,X2,X3),X2,X3),X0,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_in(c_Main_OusumE__1(X1,c_Main_OuprodE__1(c_Datatype__Universe_Ousum(X1,X0,X2,X3),X4,X5,X2,X3),X2,X3),X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ c_in(X5,c_Datatype__Universe_Ouprod(c_Datatype__Universe_Ousum(X1,X0,X2,X3),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1221])]) ).
fof(f4984,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( c_in(c_Main_OusumE__2(X0,c_Main_OuprodE__1(c_Datatype__Universe_Ousum(X1,X0,X2,X3),X4,X5,X2,X3),X2,X3),X0,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_in(c_Main_OusumE__1(X1,c_Main_OuprodE__1(c_Datatype__Universe_Ousum(X1,X0,X2,X3),X4,X5,X2,X3),X2,X3),X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ c_in(X5,c_Datatype__Universe_Ouprod(c_Datatype__Universe_Ousum(X1,X0,X2,X3),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) )
| ~ spl0_580
| ~ spl0_604 ),
inference(resolution,[],[f4971,f4699]) ).
fof(f37027,plain,
( spl0_1220
| ~ spl0_429
| ~ spl0_604 ),
inference(avatar_split_clause,[],[f4988,f4970,f3596,f37025]) ).
fof(f37025,plain,
( spl0_1220
<=> ! [X4,X0,X3,X2,X1] :
( c_in(c_Main_OusumE__2(X0,c_Main_OsubsetI__1(c_Datatype__Universe_Ousum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X0,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_in(c_Main_OusumE__1(X1,c_Main_OsubsetI__1(c_Datatype__Universe_Ousum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_lessequals(c_Datatype__Universe_Ousum(X1,X0,X2,X3),X4,tc_set(tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1220])]) ).
fof(f4988,plain,
( ! [X2,X3,X0,X1,X4] :
( c_in(c_Main_OusumE__2(X0,c_Main_OsubsetI__1(c_Datatype__Universe_Ousum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X0,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_in(c_Main_OusumE__1(X1,c_Main_OsubsetI__1(c_Datatype__Universe_Ousum(X1,X0,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X2,X3),X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_lessequals(c_Datatype__Universe_Ousum(X1,X0,X2,X3),X4,tc_set(tc_set(tc_Datatype__Universe_Onode(X2,X3)))) )
| ~ spl0_429
| ~ spl0_604 ),
inference(resolution,[],[f4971,f3597]) ).
fof(f37023,plain,
( spl0_1219
| ~ spl0_489
| ~ spl0_604 ),
inference(avatar_split_clause,[],[f4987,f4970,f3939,f37021]) ).
fof(f37021,plain,
( spl0_1219
<=> ! [X4,X0,X3,X2,X1] :
( c_in(c_Main_OusumE__2(X0,c_Main_OUnionE__1(X1,c_Datatype__Universe_Ousum(X2,X0,X3,X4),tc_Datatype__Universe_Onode(X3,X4)),X3,X4),X0,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_in(c_Main_OusumE__1(X2,c_Main_OUnionE__1(X1,c_Datatype__Universe_Ousum(X2,X0,X3,X4),tc_Datatype__Universe_Onode(X3,X4)),X3,X4),X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ c_in(X1,c_Union(c_Datatype__Universe_Ousum(X2,X0,X3,X4),tc_Datatype__Universe_Onode(X3,X4)),tc_Datatype__Universe_Onode(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1219])]) ).
fof(f4987,plain,
( ! [X2,X3,X0,X1,X4] :
( c_in(c_Main_OusumE__2(X0,c_Main_OUnionE__1(X1,c_Datatype__Universe_Ousum(X2,X0,X3,X4),tc_Datatype__Universe_Onode(X3,X4)),X3,X4),X0,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_in(c_Main_OusumE__1(X2,c_Main_OUnionE__1(X1,c_Datatype__Universe_Ousum(X2,X0,X3,X4),tc_Datatype__Universe_Onode(X3,X4)),X3,X4),X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ c_in(X1,c_Union(c_Datatype__Universe_Ousum(X2,X0,X3,X4),tc_Datatype__Universe_Onode(X3,X4)),tc_Datatype__Universe_Onode(X3,X4)) )
| ~ spl0_489
| ~ spl0_604 ),
inference(resolution,[],[f4971,f3940]) ).
fof(f36989,plain,
( spl0_1218
| ~ spl0_488
| ~ spl0_604 ),
inference(avatar_split_clause,[],[f4986,f4970,f3935,f36987]) ).
fof(f36987,plain,
( spl0_1218
<=> ! [X4,X0,X3,X2,X1] :
( c_in(c_Main_OusumE__2(X0,c_Main_OInterI__1(X1,c_Datatype__Universe_Ousum(X2,X0,X3,X4),tc_Datatype__Universe_Onode(X3,X4)),X3,X4),X0,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_in(c_Main_OusumE__1(X2,c_Main_OInterI__1(X1,c_Datatype__Universe_Ousum(X2,X0,X3,X4),tc_Datatype__Universe_Onode(X3,X4)),X3,X4),X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_in(X1,c_Inter(c_Datatype__Universe_Ousum(X2,X0,X3,X4),tc_Datatype__Universe_Onode(X3,X4)),tc_Datatype__Universe_Onode(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1218])]) ).
fof(f4986,plain,
( ! [X2,X3,X0,X1,X4] :
( c_in(c_Main_OusumE__2(X0,c_Main_OInterI__1(X1,c_Datatype__Universe_Ousum(X2,X0,X3,X4),tc_Datatype__Universe_Onode(X3,X4)),X3,X4),X0,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_in(c_Main_OusumE__1(X2,c_Main_OInterI__1(X1,c_Datatype__Universe_Ousum(X2,X0,X3,X4),tc_Datatype__Universe_Onode(X3,X4)),X3,X4),X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_in(X1,c_Inter(c_Datatype__Universe_Ousum(X2,X0,X3,X4),tc_Datatype__Universe_Onode(X3,X4)),tc_Datatype__Universe_Onode(X3,X4)) )
| ~ spl0_488
| ~ spl0_604 ),
inference(resolution,[],[f4971,f3936]) ).
fof(f36314,plain,
( spl0_1217
| ~ spl0_515
| ~ spl0_581 ),
inference(avatar_split_clause,[],[f4779,f4702,f4097,f36312]) ).
fof(f36312,plain,
( spl0_1217
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ c_in(X0,c_Relation_OImage(c_union(X1,X2,tc_prod(X3,X4)),X5,X3,X4),X4)
| c_in(c_Pair(c_Main_OImageE__1(X5,X0,c_union(X1,X2,tc_prod(X3,X4)),X3,X4),X0,X3,X4),X2,tc_prod(X3,X4))
| c_in(c_Pair(c_Main_OImageE__1(X5,X0,c_union(X1,X2,tc_prod(X3,X4)),X3,X4),X0,X3,X4),X1,tc_prod(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1217])]) ).
fof(f4779,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Relation_OImage(c_union(X1,X2,tc_prod(X3,X4)),X5,X3,X4),X4)
| c_in(c_Pair(c_Main_OImageE__1(X5,X0,c_union(X1,X2,tc_prod(X3,X4)),X3,X4),X0,X3,X4),X2,tc_prod(X3,X4))
| c_in(c_Pair(c_Main_OImageE__1(X5,X0,c_union(X1,X2,tc_prod(X3,X4)),X3,X4),X0,X3,X4),X1,tc_prod(X3,X4)) )
| ~ spl0_515
| ~ spl0_581 ),
inference(resolution,[],[f4703,f4098]) ).
fof(f36310,plain,
( spl0_1216
| ~ spl0_515
| ~ spl0_580 ),
inference(avatar_split_clause,[],[f4751,f4698,f4097,f36308]) ).
fof(f36308,plain,
( spl0_1216
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(c_union(X1,X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_in(c_Main_OuprodE__1(c_union(X1,X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X5,X0,X3,X4),X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_in(c_Main_OuprodE__1(c_union(X1,X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X5,X0,X3,X4),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1216])]) ).
fof(f4751,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(c_union(X1,X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_in(c_Main_OuprodE__1(c_union(X1,X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X5,X0,X3,X4),X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_in(c_Main_OuprodE__1(c_union(X1,X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X5,X0,X3,X4),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4))) )
| ~ spl0_515
| ~ spl0_580 ),
inference(resolution,[],[f4699,f4098]) ).
fof(f36306,plain,
( spl0_1215
| ~ spl0_515
| ~ spl0_579 ),
inference(avatar_split_clause,[],[f4731,f4694,f4097,f36304]) ).
fof(f36304,plain,
( spl0_1215
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(X1,c_union(X2,X3,tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)))
| c_in(c_Main_OuprodE__2(X1,c_union(X2,X3,tc_set(tc_Datatype__Universe_Onode(X4,X5))),X0,X4,X5),X3,tc_set(tc_Datatype__Universe_Onode(X4,X5)))
| c_in(c_Main_OuprodE__2(X1,c_union(X2,X3,tc_set(tc_Datatype__Universe_Onode(X4,X5))),X0,X4,X5),X2,tc_set(tc_Datatype__Universe_Onode(X4,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1215])]) ).
fof(f4731,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(X1,c_union(X2,X3,tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)))
| c_in(c_Main_OuprodE__2(X1,c_union(X2,X3,tc_set(tc_Datatype__Universe_Onode(X4,X5))),X0,X4,X5),X3,tc_set(tc_Datatype__Universe_Onode(X4,X5)))
| c_in(c_Main_OuprodE__2(X1,c_union(X2,X3,tc_set(tc_Datatype__Universe_Onode(X4,X5))),X0,X4,X5),X2,tc_set(tc_Datatype__Universe_Onode(X4,X5))) )
| ~ spl0_515
| ~ spl0_579 ),
inference(resolution,[],[f4695,f4098]) ).
fof(f35925,plain,
( spl0_1214
| ~ spl0_637
| ~ spl0_1040 ),
inference(avatar_split_clause,[],[f35331,f20712,f5428,f35923]) ).
fof(f35923,plain,
( spl0_1214
<=> ! [X0] : c_emptyset = c_uminus(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,X0),tc_set(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1214])]) ).
fof(f5428,plain,
( spl0_637
<=> ! [X0,X1] :
( ~ c_lessequals(X0,c_emptyset,tc_set(X1))
| c_emptyset = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_637])]) ).
fof(f20712,plain,
( spl0_1040
<=> ! [X0,X1] : c_lessequals(c_uminus(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,X0),tc_set(X0)),X1,tc_set(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1040])]) ).
fof(f35331,plain,
( ! [X0] : c_emptyset = c_uminus(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,X0),tc_set(X0))
| ~ spl0_637
| ~ spl0_1040 ),
inference(resolution,[],[f20713,f5429]) ).
fof(f5429,plain,
( ! [X0,X1] :
( ~ c_lessequals(X0,c_emptyset,tc_set(X1))
| c_emptyset = X0 )
| ~ spl0_637 ),
inference(avatar_component_clause,[],[f5428]) ).
fof(f20713,plain,
( ! [X0,X1] : c_lessequals(c_uminus(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,X0),tc_set(X0)),X1,tc_set(X0))
| ~ spl0_1040 ),
inference(avatar_component_clause,[],[f20712]) ).
fof(f35382,plain,
( spl0_1213
| ~ spl0_576
| ~ spl0_611 ),
inference(avatar_split_clause,[],[f5106,f5070,f4582,f35380]) ).
fof(f35380,plain,
( spl0_1213
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
| c_in(c_Pair(X0,X5,X2,X6),c_Relation_Orel__comp(c_Relation_OImage(X7,c_insert(X8,c_emptyset,X9),X9,tc_prod(X3,X6)),X4,X3,X6,X2),tc_prod(X2,X6))
| ~ c_in(c_Pair(X8,c_Pair(X1,X5,X3,X6),X9,tc_prod(X3,X6)),X7,tc_prod(X9,tc_prod(X3,X6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1213])]) ).
fof(f4582,plain,
( spl0_576
<=> ! [X5,X18,X27,X2,X1] :
( ~ c_in(c_Pair(X18,X27,X2,X1),X5,tc_prod(X2,X1))
| c_in(X27,c_Relation_OImage(X5,c_insert(X18,c_emptyset,X2),X2,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_576])]) ).
fof(f5106,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
| c_in(c_Pair(X0,X5,X2,X6),c_Relation_Orel__comp(c_Relation_OImage(X7,c_insert(X8,c_emptyset,X9),X9,tc_prod(X3,X6)),X4,X3,X6,X2),tc_prod(X2,X6))
| ~ c_in(c_Pair(X8,c_Pair(X1,X5,X3,X6),X9,tc_prod(X3,X6)),X7,tc_prod(X9,tc_prod(X3,X6))) )
| ~ spl0_576
| ~ spl0_611 ),
inference(resolution,[],[f5071,f4583]) ).
fof(f4583,plain,
( ! [X2,X18,X1,X27,X5] :
( c_in(X27,c_Relation_OImage(X5,c_insert(X18,c_emptyset,X2),X2,X1),X1)
| ~ c_in(c_Pair(X18,X27,X2,X1),X5,tc_prod(X2,X1)) )
| ~ spl0_576 ),
inference(avatar_component_clause,[],[f4582]) ).
fof(f35378,plain,
( spl0_1212
| ~ spl0_514
| ~ spl0_606 ),
inference(avatar_split_clause,[],[f5042,f4978,f4093,f35376]) ).
fof(f35376,plain,
( spl0_1212
<=> ! [X3,X4,X0,X6,X5,X2,X1] :
( ~ c_in(X0,c_Relation_Orel__comp(X1,c_Inter(X2,tc_prod(X3,X4)),X4,X5,X3),tc_prod(X3,X5))
| ~ c_in(X6,X2,tc_set(tc_prod(X3,X4)))
| c_in(c_Pair(c_Main_Orel__compE__1(X1,c_Inter(X2,tc_prod(X3,X4)),X0,X4,X5,X3),c_Main_Orel__compE__2(X1,c_Inter(X2,tc_prod(X3,X4)),X0,X4,X5,X3),X3,X4),X6,tc_prod(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1212])]) ).
fof(f5042,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_in(X0,c_Relation_Orel__comp(X1,c_Inter(X2,tc_prod(X3,X4)),X4,X5,X3),tc_prod(X3,X5))
| ~ c_in(X6,X2,tc_set(tc_prod(X3,X4)))
| c_in(c_Pair(c_Main_Orel__compE__1(X1,c_Inter(X2,tc_prod(X3,X4)),X0,X4,X5,X3),c_Main_Orel__compE__2(X1,c_Inter(X2,tc_prod(X3,X4)),X0,X4,X5,X3),X3,X4),X6,tc_prod(X3,X4)) )
| ~ spl0_514
| ~ spl0_606 ),
inference(resolution,[],[f4979,f4094]) ).
fof(f35374,plain,
( spl0_1211
| ~ spl0_514
| ~ spl0_605 ),
inference(avatar_split_clause,[],[f5012,f4974,f4093,f35372]) ).
fof(f35372,plain,
( spl0_1211
<=> ! [X3,X4,X0,X6,X5,X2,X1] :
( ~ c_in(X0,c_Relation_Orel__comp(c_Inter(X1,tc_prod(X2,X3)),X4,X2,X3,X5),tc_prod(X5,X3))
| ~ c_in(X6,X1,tc_set(tc_prod(X2,X3)))
| c_in(c_Pair(c_Main_Orel__compE__2(c_Inter(X1,tc_prod(X2,X3)),X4,X0,X2,X3,X5),c_Main_Orel__compE__3(c_Inter(X1,tc_prod(X2,X3)),X4,X0,X2,X3,X5),X2,X3),X6,tc_prod(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1211])]) ).
fof(f5012,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_in(X0,c_Relation_Orel__comp(c_Inter(X1,tc_prod(X2,X3)),X4,X2,X3,X5),tc_prod(X5,X3))
| ~ c_in(X6,X1,tc_set(tc_prod(X2,X3)))
| c_in(c_Pair(c_Main_Orel__compE__2(c_Inter(X1,tc_prod(X2,X3)),X4,X0,X2,X3,X5),c_Main_Orel__compE__3(c_Inter(X1,tc_prod(X2,X3)),X4,X0,X2,X3,X5),X2,X3),X6,tc_prod(X2,X3)) )
| ~ spl0_514
| ~ spl0_605 ),
inference(resolution,[],[f4975,f4094]) ).
fof(f35370,plain,
( spl0_1210
| ~ spl0_575
| ~ spl0_580 ),
inference(avatar_split_clause,[],[f4743,f4698,f4578,f35368]) ).
fof(f35368,plain,
( spl0_1210
<=> ! [X5,X4,X2,X0,X6,X3,X1] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(c_Relation_OImage(X1,c_insert(X2,c_emptyset,X3),X3,tc_set(tc_Datatype__Universe_Onode(X4,X5))),X6,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)))
| c_in(c_Pair(X2,c_Main_OuprodE__1(c_Relation_OImage(X1,c_insert(X2,c_emptyset,X3),X3,tc_set(tc_Datatype__Universe_Onode(X4,X5))),X6,X0,X4,X5),X3,tc_set(tc_Datatype__Universe_Onode(X4,X5))),X1,tc_prod(X3,tc_set(tc_Datatype__Universe_Onode(X4,X5)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1210])]) ).
fof(f4743,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(c_Relation_OImage(X1,c_insert(X2,c_emptyset,X3),X3,tc_set(tc_Datatype__Universe_Onode(X4,X5))),X6,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)))
| c_in(c_Pair(X2,c_Main_OuprodE__1(c_Relation_OImage(X1,c_insert(X2,c_emptyset,X3),X3,tc_set(tc_Datatype__Universe_Onode(X4,X5))),X6,X0,X4,X5),X3,tc_set(tc_Datatype__Universe_Onode(X4,X5))),X1,tc_prod(X3,tc_set(tc_Datatype__Universe_Onode(X4,X5)))) )
| ~ spl0_575
| ~ spl0_580 ),
inference(resolution,[],[f4699,f4579]) ).
fof(f35366,plain,
( spl0_1209
| ~ spl0_575
| ~ spl0_579 ),
inference(avatar_split_clause,[],[f4723,f4694,f4578,f35364]) ).
fof(f35364,plain,
( spl0_1209
<=> ! [X5,X4,X2,X0,X6,X3,X1] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(X1,c_Relation_OImage(X2,c_insert(X3,c_emptyset,X4),X4,tc_set(tc_Datatype__Universe_Onode(X5,X6))),X5,X6),tc_set(tc_Datatype__Universe_Onode(X5,X6)))
| c_in(c_Pair(X3,c_Main_OuprodE__2(X1,c_Relation_OImage(X2,c_insert(X3,c_emptyset,X4),X4,tc_set(tc_Datatype__Universe_Onode(X5,X6))),X0,X5,X6),X4,tc_set(tc_Datatype__Universe_Onode(X5,X6))),X2,tc_prod(X4,tc_set(tc_Datatype__Universe_Onode(X5,X6)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1209])]) ).
fof(f4723,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(X1,c_Relation_OImage(X2,c_insert(X3,c_emptyset,X4),X4,tc_set(tc_Datatype__Universe_Onode(X5,X6))),X5,X6),tc_set(tc_Datatype__Universe_Onode(X5,X6)))
| c_in(c_Pair(X3,c_Main_OuprodE__2(X1,c_Relation_OImage(X2,c_insert(X3,c_emptyset,X4),X4,tc_set(tc_Datatype__Universe_Onode(X5,X6))),X0,X5,X6),X4,tc_set(tc_Datatype__Universe_Onode(X5,X6))),X2,tc_prod(X4,tc_set(tc_Datatype__Universe_Onode(X5,X6)))) )
| ~ spl0_575
| ~ spl0_579 ),
inference(resolution,[],[f4695,f4579]) ).
fof(f35362,plain,
( spl0_1208
| ~ spl0_570
| ~ spl0_571 ),
inference(avatar_split_clause,[],[f4642,f4561,f4557,f35360]) ).
fof(f35360,plain,
( spl0_1208
<=> ! [X2,X0,X1] :
( c_Pair(c_Main_ORangeE__1(X1,c_Relation_Odiag(X0,X2),X2,X2),X1,X2,X2) = c_Pair(c_Main_OdiagE__1(X0,c_Pair(c_Main_ORangeE__1(X1,c_Relation_Odiag(X0,X2),X2,X2),X1,X2,X2),X2),c_Main_OdiagE__1(X0,c_Pair(c_Main_ORangeE__1(X1,c_Relation_Odiag(X0,X2),X2,X2),X1,X2,X2),X2),X2,X2)
| ~ c_in(X1,c_Relation_ORange(c_Relation_Odiag(X0,X2),X2,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1208])]) ).
fof(f4642,plain,
( ! [X2,X0,X1] :
( c_Pair(c_Main_ORangeE__1(X1,c_Relation_Odiag(X0,X2),X2,X2),X1,X2,X2) = c_Pair(c_Main_OdiagE__1(X0,c_Pair(c_Main_ORangeE__1(X1,c_Relation_Odiag(X0,X2),X2,X2),X1,X2,X2),X2),c_Main_OdiagE__1(X0,c_Pair(c_Main_ORangeE__1(X1,c_Relation_Odiag(X0,X2),X2,X2),X1,X2,X2),X2),X2,X2)
| ~ c_in(X1,c_Relation_ORange(c_Relation_Odiag(X0,X2),X2,X2),X2) )
| ~ spl0_570
| ~ spl0_571 ),
inference(resolution,[],[f4562,f4558]) ).
fof(f35328,plain,
( spl0_1207
| ~ spl0_569
| ~ spl0_571 ),
inference(avatar_split_clause,[],[f4641,f4561,f4553,f35326]) ).
fof(f35326,plain,
( spl0_1207
<=> ! [X2,X0,X1] :
( c_Pair(X1,c_Main_ODomainE__1(X1,c_Relation_Odiag(X0,X2),X2,X2),X2,X2) = c_Pair(c_Main_OdiagE__1(X0,c_Pair(X1,c_Main_ODomainE__1(X1,c_Relation_Odiag(X0,X2),X2,X2),X2,X2),X2),c_Main_OdiagE__1(X0,c_Pair(X1,c_Main_ODomainE__1(X1,c_Relation_Odiag(X0,X2),X2,X2),X2,X2),X2),X2,X2)
| ~ c_in(X1,c_Relation_ODomain(c_Relation_Odiag(X0,X2),X2,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1207])]) ).
fof(f4641,plain,
( ! [X2,X0,X1] :
( c_Pair(X1,c_Main_ODomainE__1(X1,c_Relation_Odiag(X0,X2),X2,X2),X2,X2) = c_Pair(c_Main_OdiagE__1(X0,c_Pair(X1,c_Main_ODomainE__1(X1,c_Relation_Odiag(X0,X2),X2,X2),X2,X2),X2),c_Main_OdiagE__1(X0,c_Pair(X1,c_Main_ODomainE__1(X1,c_Relation_Odiag(X0,X2),X2,X2),X2,X2),X2),X2,X2)
| ~ c_in(X1,c_Relation_ODomain(c_Relation_Odiag(X0,X2),X2,X2),X2) )
| ~ spl0_569
| ~ spl0_571 ),
inference(resolution,[],[f4562,f4554]) ).
fof(f34676,plain,
( spl0_1206
| ~ spl0_529
| ~ spl0_611 ),
inference(avatar_split_clause,[],[f5103,f5070,f4244,f34674]) ).
fof(f34674,plain,
( spl0_1206
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
| c_in(c_Pair(X0,X5,X2,X6),c_Relation_Orel__comp(c_minus(X7,X8,tc_set(tc_prod(X3,X6))),X4,X3,X6,X2),tc_prod(X2,X6))
| c_in(c_Pair(X1,X5,X3,X6),X8,tc_prod(X3,X6))
| ~ c_in(c_Pair(X1,X5,X3,X6),X7,tc_prod(X3,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1206])]) ).
fof(f4244,plain,
( spl0_529
<=> ! [X4,X13,X12,X1] :
( ~ c_in(X4,X12,X1)
| c_in(X4,X13,X1)
| c_in(X4,c_minus(X12,X13,tc_set(X1)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_529])]) ).
fof(f5103,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
| c_in(c_Pair(X0,X5,X2,X6),c_Relation_Orel__comp(c_minus(X7,X8,tc_set(tc_prod(X3,X6))),X4,X3,X6,X2),tc_prod(X2,X6))
| c_in(c_Pair(X1,X5,X3,X6),X8,tc_prod(X3,X6))
| ~ c_in(c_Pair(X1,X5,X3,X6),X7,tc_prod(X3,X6)) )
| ~ spl0_529
| ~ spl0_611 ),
inference(resolution,[],[f5071,f4245]) ).
fof(f4245,plain,
( ! [X1,X4,X12,X13] :
( c_in(X4,c_minus(X12,X13,tc_set(X1)),X1)
| c_in(X4,X13,X1)
| ~ c_in(X4,X12,X1) )
| ~ spl0_529 ),
inference(avatar_component_clause,[],[f4244]) ).
fof(f34672,plain,
( spl0_1205
| ~ spl0_453
| ~ spl0_606 ),
inference(avatar_split_clause,[],[f5045,f4978,f3693,f34670]) ).
fof(f34670,plain,
( spl0_1205
<=> ! [X5,X4,X2,X0,X6,X3,X1] :
( ~ c_in(X0,c_Relation_Orel__comp(X1,c_minus(X2,X3,tc_set(tc_prod(X4,X5))),X5,X6,X4),tc_prod(X4,X6))
| ~ c_in(c_Pair(c_Main_Orel__compE__1(X1,c_minus(X2,X3,tc_set(tc_prod(X4,X5))),X0,X5,X6,X4),c_Main_Orel__compE__2(X1,c_minus(X2,X3,tc_set(tc_prod(X4,X5))),X0,X5,X6,X4),X4,X5),X3,tc_prod(X4,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1205])]) ).
fof(f5045,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_in(X0,c_Relation_Orel__comp(X1,c_minus(X2,X3,tc_set(tc_prod(X4,X5))),X5,X6,X4),tc_prod(X4,X6))
| ~ c_in(c_Pair(c_Main_Orel__compE__1(X1,c_minus(X2,X3,tc_set(tc_prod(X4,X5))),X0,X5,X6,X4),c_Main_Orel__compE__2(X1,c_minus(X2,X3,tc_set(tc_prod(X4,X5))),X0,X5,X6,X4),X4,X5),X3,tc_prod(X4,X5)) )
| ~ spl0_453
| ~ spl0_606 ),
inference(resolution,[],[f4979,f3694]) ).
fof(f34668,plain,
( spl0_1204
| ~ spl0_454
| ~ spl0_606 ),
inference(avatar_split_clause,[],[f5044,f4978,f3697,f34666]) ).
fof(f34666,plain,
( spl0_1204
<=> ! [X5,X4,X2,X0,X6,X3,X1] :
( ~ c_in(X0,c_Relation_Orel__comp(X1,c_minus(X2,X3,tc_set(tc_prod(X4,X5))),X5,X6,X4),tc_prod(X4,X6))
| c_in(c_Pair(c_Main_Orel__compE__1(X1,c_minus(X2,X3,tc_set(tc_prod(X4,X5))),X0,X5,X6,X4),c_Main_Orel__compE__2(X1,c_minus(X2,X3,tc_set(tc_prod(X4,X5))),X0,X5,X6,X4),X4,X5),X2,tc_prod(X4,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1204])]) ).
fof(f5044,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_in(X0,c_Relation_Orel__comp(X1,c_minus(X2,X3,tc_set(tc_prod(X4,X5))),X5,X6,X4),tc_prod(X4,X6))
| c_in(c_Pair(c_Main_Orel__compE__1(X1,c_minus(X2,X3,tc_set(tc_prod(X4,X5))),X0,X5,X6,X4),c_Main_Orel__compE__2(X1,c_minus(X2,X3,tc_set(tc_prod(X4,X5))),X0,X5,X6,X4),X4,X5),X2,tc_prod(X4,X5)) )
| ~ spl0_454
| ~ spl0_606 ),
inference(resolution,[],[f4979,f3698]) ).
fof(f34633,plain,
( spl0_1203
| ~ spl0_453
| ~ spl0_605 ),
inference(avatar_split_clause,[],[f5015,f4974,f3693,f34631]) ).
fof(f34631,plain,
( spl0_1203
<=> ! [X5,X4,X2,X0,X6,X3,X1] :
( ~ c_in(X0,c_Relation_Orel__comp(c_minus(X1,X2,tc_set(tc_prod(X3,X4))),X5,X3,X4,X6),tc_prod(X6,X4))
| ~ c_in(c_Pair(c_Main_Orel__compE__2(c_minus(X1,X2,tc_set(tc_prod(X3,X4))),X5,X0,X3,X4,X6),c_Main_Orel__compE__3(c_minus(X1,X2,tc_set(tc_prod(X3,X4))),X5,X0,X3,X4,X6),X3,X4),X2,tc_prod(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1203])]) ).
fof(f5015,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_in(X0,c_Relation_Orel__comp(c_minus(X1,X2,tc_set(tc_prod(X3,X4))),X5,X3,X4,X6),tc_prod(X6,X4))
| ~ c_in(c_Pair(c_Main_Orel__compE__2(c_minus(X1,X2,tc_set(tc_prod(X3,X4))),X5,X0,X3,X4,X6),c_Main_Orel__compE__3(c_minus(X1,X2,tc_set(tc_prod(X3,X4))),X5,X0,X3,X4,X6),X3,X4),X2,tc_prod(X3,X4)) )
| ~ spl0_453
| ~ spl0_605 ),
inference(resolution,[],[f4975,f3694]) ).
fof(f34629,plain,
( spl0_1202
| ~ spl0_454
| ~ spl0_605 ),
inference(avatar_split_clause,[],[f5014,f4974,f3697,f34627]) ).
fof(f34627,plain,
( spl0_1202
<=> ! [X5,X4,X2,X0,X6,X3,X1] :
( ~ c_in(X0,c_Relation_Orel__comp(c_minus(X1,X2,tc_set(tc_prod(X3,X4))),X5,X3,X4,X6),tc_prod(X6,X4))
| c_in(c_Pair(c_Main_Orel__compE__2(c_minus(X1,X2,tc_set(tc_prod(X3,X4))),X5,X0,X3,X4,X6),c_Main_Orel__compE__3(c_minus(X1,X2,tc_set(tc_prod(X3,X4))),X5,X0,X3,X4,X6),X3,X4),X1,tc_prod(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1202])]) ).
fof(f5014,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_in(X0,c_Relation_Orel__comp(c_minus(X1,X2,tc_set(tc_prod(X3,X4))),X5,X3,X4,X6),tc_prod(X6,X4))
| c_in(c_Pair(c_Main_Orel__compE__2(c_minus(X1,X2,tc_set(tc_prod(X3,X4))),X5,X0,X3,X4,X6),c_Main_Orel__compE__3(c_minus(X1,X2,tc_set(tc_prod(X3,X4))),X5,X0,X3,X4,X6),X3,X4),X1,tc_prod(X3,X4)) )
| ~ spl0_454
| ~ spl0_605 ),
inference(resolution,[],[f4975,f3698]) ).
fof(f34625,plain,
( spl0_1201
| ~ spl0_564
| ~ spl0_575 ),
inference(avatar_split_clause,[],[f4647,f4578,f4512,f34623]) ).
fof(f34623,plain,
( spl0_1201
<=> ! [X0,X3,X2,X1] :
( c_in(c_Pair(X0,c_Main_Ofinite__Union__1(c_Relation_OImage(X1,c_insert(X0,c_emptyset,X2),X2,tc_set(X3)),X3),X2,tc_set(X3)),X1,tc_prod(X2,tc_set(X3)))
| c_in(c_Union(c_Relation_OImage(X1,c_insert(X0,c_emptyset,X2),X2,tc_set(X3)),X3),c_Finite__Set_OFinites,tc_set(X3))
| ~ c_in(c_Relation_OImage(X1,c_insert(X0,c_emptyset,X2),X2,tc_set(X3)),c_Finite__Set_OFinites,tc_set(tc_set(X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1201])]) ).
fof(f4647,plain,
( ! [X2,X3,X0,X1] :
( c_in(c_Pair(X0,c_Main_Ofinite__Union__1(c_Relation_OImage(X1,c_insert(X0,c_emptyset,X2),X2,tc_set(X3)),X3),X2,tc_set(X3)),X1,tc_prod(X2,tc_set(X3)))
| c_in(c_Union(c_Relation_OImage(X1,c_insert(X0,c_emptyset,X2),X2,tc_set(X3)),X3),c_Finite__Set_OFinites,tc_set(X3))
| ~ c_in(c_Relation_OImage(X1,c_insert(X0,c_emptyset,X2),X2,tc_set(X3)),c_Finite__Set_OFinites,tc_set(tc_set(X3))) )
| ~ spl0_564
| ~ spl0_575 ),
inference(resolution,[],[f4579,f4513]) ).
fof(f33489,plain,
( spl0_1200
| ~ spl0_577
| ~ spl0_616 ),
inference(avatar_split_clause,[],[f5173,f5139,f4660,f33487]) ).
fof(f33487,plain,
( spl0_1200
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_in(c_Main_OdprodE__3(X0,X1,X2,X3,X4),c_Relation_OImage(X1,X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ c_in(c_Main_OdprodE__1(X0,X1,X2,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1200])]) ).
fof(f5173,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_in(c_Main_OdprodE__3(X0,X1,X2,X3,X4),c_Relation_OImage(X1,X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ c_in(c_Main_OdprodE__1(X0,X1,X2,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4))) )
| ~ spl0_577
| ~ spl0_616 ),
inference(resolution,[],[f5140,f4661]) ).
fof(f33485,plain,
( spl0_1199
| ~ spl0_577
| ~ spl0_615 ),
inference(avatar_split_clause,[],[f5143,f5135,f4660,f33483]) ).
fof(f33483,plain,
( spl0_1199
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_in(c_Main_OdprodE__4(X0,X1,X2,X3,X4),c_Relation_OImage(X2,X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ c_in(c_Main_OdprodE__2(X0,X1,X2,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1199])]) ).
fof(f5143,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_in(c_Main_OdprodE__4(X0,X1,X2,X3,X4),c_Relation_OImage(X2,X5,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ c_in(c_Main_OdprodE__2(X0,X1,X2,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4))) )
| ~ spl0_577
| ~ spl0_615 ),
inference(resolution,[],[f5136,f4661]) ).
fof(f33481,plain,
( spl0_1198
| ~ spl0_513
| ~ spl0_611 ),
inference(avatar_split_clause,[],[f5102,f5070,f4089,f33479]) ).
fof(f33479,plain,
( spl0_1198
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
| c_in(c_Pair(X0,X5,X2,X6),c_Relation_Orel__comp(c_inter(X7,X8,tc_prod(X3,X6)),X4,X3,X6,X2),tc_prod(X2,X6))
| ~ c_in(c_Pair(X1,X5,X3,X6),X7,tc_prod(X3,X6))
| ~ c_in(c_Pair(X1,X5,X3,X6),X8,tc_prod(X3,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1198])]) ).
fof(f4089,plain,
( spl0_513
<=> ! [X4,X13,X12,X1] :
( ~ c_in(X4,X13,X1)
| ~ c_in(X4,X12,X1)
| c_in(X4,c_inter(X12,X13,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_513])]) ).
fof(f5102,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
| c_in(c_Pair(X0,X5,X2,X6),c_Relation_Orel__comp(c_inter(X7,X8,tc_prod(X3,X6)),X4,X3,X6,X2),tc_prod(X2,X6))
| ~ c_in(c_Pair(X1,X5,X3,X6),X7,tc_prod(X3,X6))
| ~ c_in(c_Pair(X1,X5,X3,X6),X8,tc_prod(X3,X6)) )
| ~ spl0_513
| ~ spl0_611 ),
inference(resolution,[],[f5071,f4090]) ).
fof(f4090,plain,
( ! [X1,X4,X12,X13] :
( c_in(X4,c_inter(X12,X13,X1),X1)
| ~ c_in(X4,X12,X1)
| ~ c_in(X4,X13,X1) )
| ~ spl0_513 ),
inference(avatar_component_clause,[],[f4089]) ).
fof(f33477,plain,
( spl0_1197
| ~ spl0_535
| ~ spl0_590 ),
inference(avatar_split_clause,[],[f4858,f4831,f4293,f33475]) ).
fof(f33475,plain,
( spl0_1197
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ c_in(X0,c_Relation_Oconverse(c_Relation_OImage(X1,X2,X3,tc_prod(X4,X5)),X4,X5),tc_prod(X5,X4))
| c_in(c_Main_OImageE__1(X2,c_Pair(c_Main_OconverseE__1(c_Relation_OImage(X1,X2,X3,tc_prod(X4,X5)),X0,X4,X5),c_Main_OconverseE__2(c_Relation_OImage(X1,X2,X3,tc_prod(X4,X5)),X0,X4,X5),X4,X5),X1,X3,tc_prod(X4,X5)),X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1197])]) ).
fof(f4858,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Relation_Oconverse(c_Relation_OImage(X1,X2,X3,tc_prod(X4,X5)),X4,X5),tc_prod(X5,X4))
| c_in(c_Main_OImageE__1(X2,c_Pair(c_Main_OconverseE__1(c_Relation_OImage(X1,X2,X3,tc_prod(X4,X5)),X0,X4,X5),c_Main_OconverseE__2(c_Relation_OImage(X1,X2,X3,tc_prod(X4,X5)),X0,X4,X5),X4,X5),X1,X3,tc_prod(X4,X5)),X2,X3) )
| ~ spl0_535
| ~ spl0_590 ),
inference(resolution,[],[f4832,f4294]) ).
fof(f33473,plain,
( spl0_1196
| ~ spl0_496
| ~ spl0_581 ),
inference(avatar_split_clause,[],[f4763,f4702,f3967,f33471]) ).
fof(f33471,plain,
( spl0_1196
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ c_in(X0,c_Relation_OImage(c_insert(X1,X2,tc_prod(X3,X4)),X5,X3,X4),X4)
| c_in(c_Pair(c_Main_OImageE__1(X5,X0,c_insert(X1,X2,tc_prod(X3,X4)),X3,X4),X0,X3,X4),X2,tc_prod(X3,X4))
| c_Pair(c_Main_OImageE__1(X5,X0,c_insert(X1,X2,tc_prod(X3,X4)),X3,X4),X0,X3,X4) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1196])]) ).
fof(f4763,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Relation_OImage(c_insert(X1,X2,tc_prod(X3,X4)),X5,X3,X4),X4)
| c_in(c_Pair(c_Main_OImageE__1(X5,X0,c_insert(X1,X2,tc_prod(X3,X4)),X3,X4),X0,X3,X4),X2,tc_prod(X3,X4))
| c_Pair(c_Main_OImageE__1(X5,X0,c_insert(X1,X2,tc_prod(X3,X4)),X3,X4),X0,X3,X4) = X1 )
| ~ spl0_496
| ~ spl0_581 ),
inference(resolution,[],[f4703,f3968]) ).
fof(f33469,plain,
( spl0_1195
| ~ spl0_515
| ~ spl0_570 ),
inference(avatar_split_clause,[],[f4637,f4557,f4097,f33467]) ).
fof(f33467,plain,
( spl0_1195
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_ORange(c_union(X1,X2,tc_prod(X3,X4)),X3,X4),X4)
| c_in(c_Pair(c_Main_ORangeE__1(X0,c_union(X1,X2,tc_prod(X3,X4)),X4,X3),X0,X3,X4),X2,tc_prod(X3,X4))
| c_in(c_Pair(c_Main_ORangeE__1(X0,c_union(X1,X2,tc_prod(X3,X4)),X4,X3),X0,X3,X4),X1,tc_prod(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1195])]) ).
fof(f4637,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Relation_ORange(c_union(X1,X2,tc_prod(X3,X4)),X3,X4),X4)
| c_in(c_Pair(c_Main_ORangeE__1(X0,c_union(X1,X2,tc_prod(X3,X4)),X4,X3),X0,X3,X4),X2,tc_prod(X3,X4))
| c_in(c_Pair(c_Main_ORangeE__1(X0,c_union(X1,X2,tc_prod(X3,X4)),X4,X3),X0,X3,X4),X1,tc_prod(X3,X4)) )
| ~ spl0_515
| ~ spl0_570 ),
inference(resolution,[],[f4558,f4098]) ).
fof(f33465,plain,
( spl0_1194
| ~ spl0_515
| ~ spl0_569 ),
inference(avatar_split_clause,[],[f4612,f4553,f4097,f33463]) ).
fof(f33463,plain,
( spl0_1194
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_ODomain(c_union(X1,X2,tc_prod(X3,X4)),X3,X4),X3)
| c_in(c_Pair(X0,c_Main_ODomainE__1(X0,c_union(X1,X2,tc_prod(X3,X4)),X3,X4),X3,X4),X2,tc_prod(X3,X4))
| c_in(c_Pair(X0,c_Main_ODomainE__1(X0,c_union(X1,X2,tc_prod(X3,X4)),X3,X4),X3,X4),X1,tc_prod(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1194])]) ).
fof(f4612,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Relation_ODomain(c_union(X1,X2,tc_prod(X3,X4)),X3,X4),X3)
| c_in(c_Pair(X0,c_Main_ODomainE__1(X0,c_union(X1,X2,tc_prod(X3,X4)),X3,X4),X3,X4),X2,tc_prod(X3,X4))
| c_in(c_Pair(X0,c_Main_ODomainE__1(X0,c_union(X1,X2,tc_prod(X3,X4)),X3,X4),X3,X4),X1,tc_prod(X3,X4)) )
| ~ spl0_515
| ~ spl0_569 ),
inference(resolution,[],[f4554,f4098]) ).
fof(f32988,plain,
( spl0_1193
| ~ spl0_447
| ~ spl0_606 ),
inference(avatar_split_clause,[],[f5048,f4978,f3669,f32986]) ).
fof(f32986,plain,
( spl0_1193
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ c_in(X0,c_Relation_Orel__comp(X1,c_SetInterval_OgreaterThan(X2,tc_prod(X3,X4)),X4,X5,X3),tc_prod(X3,X5))
| c_less(X2,c_Pair(c_Main_Orel__compE__1(X1,c_SetInterval_OgreaterThan(X2,tc_prod(X3,X4)),X0,X4,X5,X3),c_Main_Orel__compE__2(X1,c_SetInterval_OgreaterThan(X2,tc_prod(X3,X4)),X0,X4,X5,X3),X3,X4),tc_prod(X3,X4))
| ~ class_Orderings_Oord(tc_prod(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1193])]) ).
fof(f5048,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Relation_Orel__comp(X1,c_SetInterval_OgreaterThan(X2,tc_prod(X3,X4)),X4,X5,X3),tc_prod(X3,X5))
| c_less(X2,c_Pair(c_Main_Orel__compE__1(X1,c_SetInterval_OgreaterThan(X2,tc_prod(X3,X4)),X0,X4,X5,X3),c_Main_Orel__compE__2(X1,c_SetInterval_OgreaterThan(X2,tc_prod(X3,X4)),X0,X4,X5,X3),X3,X4),tc_prod(X3,X4))
| ~ class_Orderings_Oord(tc_prod(X3,X4)) )
| ~ spl0_447
| ~ spl0_606 ),
inference(resolution,[],[f4979,f3670]) ).
fof(f32946,plain,
( spl0_1192
| ~ spl0_441
| ~ spl0_606 ),
inference(avatar_split_clause,[],[f5047,f4978,f3645,f32944]) ).
fof(f32944,plain,
( spl0_1192
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ c_in(X0,c_Relation_Orel__comp(X1,c_SetInterval_OatLeast(X2,tc_prod(X3,X4)),X4,X5,X3),tc_prod(X3,X5))
| c_lessequals(X2,c_Pair(c_Main_Orel__compE__1(X1,c_SetInterval_OatLeast(X2,tc_prod(X3,X4)),X0,X4,X5,X3),c_Main_Orel__compE__2(X1,c_SetInterval_OatLeast(X2,tc_prod(X3,X4)),X0,X4,X5,X3),X3,X4),tc_prod(X3,X4))
| ~ class_Orderings_Oord(tc_prod(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1192])]) ).
fof(f5047,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Relation_Orel__comp(X1,c_SetInterval_OatLeast(X2,tc_prod(X3,X4)),X4,X5,X3),tc_prod(X3,X5))
| c_lessequals(X2,c_Pair(c_Main_Orel__compE__1(X1,c_SetInterval_OatLeast(X2,tc_prod(X3,X4)),X0,X4,X5,X3),c_Main_Orel__compE__2(X1,c_SetInterval_OatLeast(X2,tc_prod(X3,X4)),X0,X4,X5,X3),X3,X4),tc_prod(X3,X4))
| ~ class_Orderings_Oord(tc_prod(X3,X4)) )
| ~ spl0_441
| ~ spl0_606 ),
inference(resolution,[],[f4979,f3646]) ).
fof(f32942,plain,
( spl0_1191
| ~ spl0_450
| ~ spl0_606 ),
inference(avatar_split_clause,[],[f5041,f4978,f3681,f32940]) ).
fof(f32940,plain,
( spl0_1191
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ c_in(X0,c_Relation_Orel__comp(X1,c_SetInterval_OlessThan(X2,tc_prod(X3,X4)),X4,X5,X3),tc_prod(X3,X5))
| c_less(c_Pair(c_Main_Orel__compE__1(X1,c_SetInterval_OlessThan(X2,tc_prod(X3,X4)),X0,X4,X5,X3),c_Main_Orel__compE__2(X1,c_SetInterval_OlessThan(X2,tc_prod(X3,X4)),X0,X4,X5,X3),X3,X4),X2,tc_prod(X3,X4))
| ~ class_Orderings_Oord(tc_prod(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1191])]) ).
fof(f5041,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Relation_Orel__comp(X1,c_SetInterval_OlessThan(X2,tc_prod(X3,X4)),X4,X5,X3),tc_prod(X3,X5))
| c_less(c_Pair(c_Main_Orel__compE__1(X1,c_SetInterval_OlessThan(X2,tc_prod(X3,X4)),X0,X4,X5,X3),c_Main_Orel__compE__2(X1,c_SetInterval_OlessThan(X2,tc_prod(X3,X4)),X0,X4,X5,X3),X3,X4),X2,tc_prod(X3,X4))
| ~ class_Orderings_Oord(tc_prod(X3,X4)) )
| ~ spl0_450
| ~ spl0_606 ),
inference(resolution,[],[f4979,f3682]) ).
fof(f32938,plain,
( spl0_1190
| ~ spl0_444
| ~ spl0_606 ),
inference(avatar_split_clause,[],[f5040,f4978,f3657,f32936]) ).
fof(f32936,plain,
( spl0_1190
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ c_in(X0,c_Relation_Orel__comp(X1,c_SetInterval_OatMost(X2,tc_prod(X3,X4)),X4,X5,X3),tc_prod(X3,X5))
| c_lessequals(c_Pair(c_Main_Orel__compE__1(X1,c_SetInterval_OatMost(X2,tc_prod(X3,X4)),X0,X4,X5,X3),c_Main_Orel__compE__2(X1,c_SetInterval_OatMost(X2,tc_prod(X3,X4)),X0,X4,X5,X3),X3,X4),X2,tc_prod(X3,X4))
| ~ class_Orderings_Oord(tc_prod(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1190])]) ).
fof(f5040,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Relation_Orel__comp(X1,c_SetInterval_OatMost(X2,tc_prod(X3,X4)),X4,X5,X3),tc_prod(X3,X5))
| c_lessequals(c_Pair(c_Main_Orel__compE__1(X1,c_SetInterval_OatMost(X2,tc_prod(X3,X4)),X0,X4,X5,X3),c_Main_Orel__compE__2(X1,c_SetInterval_OatMost(X2,tc_prod(X3,X4)),X0,X4,X5,X3),X3,X4),X2,tc_prod(X3,X4))
| ~ class_Orderings_Oord(tc_prod(X3,X4)) )
| ~ spl0_444
| ~ spl0_606 ),
inference(resolution,[],[f4979,f3658]) ).
fof(f32934,plain,
( spl0_1189
| ~ spl0_447
| ~ spl0_605 ),
inference(avatar_split_clause,[],[f5018,f4974,f3669,f32932]) ).
fof(f32932,plain,
( spl0_1189
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ c_in(X0,c_Relation_Orel__comp(c_SetInterval_OgreaterThan(X1,tc_prod(X2,X3)),X4,X2,X3,X5),tc_prod(X5,X3))
| c_less(X1,c_Pair(c_Main_Orel__compE__2(c_SetInterval_OgreaterThan(X1,tc_prod(X2,X3)),X4,X0,X2,X3,X5),c_Main_Orel__compE__3(c_SetInterval_OgreaterThan(X1,tc_prod(X2,X3)),X4,X0,X2,X3,X5),X2,X3),tc_prod(X2,X3))
| ~ class_Orderings_Oord(tc_prod(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1189])]) ).
fof(f5018,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Relation_Orel__comp(c_SetInterval_OgreaterThan(X1,tc_prod(X2,X3)),X4,X2,X3,X5),tc_prod(X5,X3))
| c_less(X1,c_Pair(c_Main_Orel__compE__2(c_SetInterval_OgreaterThan(X1,tc_prod(X2,X3)),X4,X0,X2,X3,X5),c_Main_Orel__compE__3(c_SetInterval_OgreaterThan(X1,tc_prod(X2,X3)),X4,X0,X2,X3,X5),X2,X3),tc_prod(X2,X3))
| ~ class_Orderings_Oord(tc_prod(X2,X3)) )
| ~ spl0_447
| ~ spl0_605 ),
inference(resolution,[],[f4975,f3670]) ).
fof(f32930,plain,
( spl0_1188
| ~ spl0_441
| ~ spl0_605 ),
inference(avatar_split_clause,[],[f5017,f4974,f3645,f32928]) ).
fof(f32928,plain,
( spl0_1188
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ c_in(X0,c_Relation_Orel__comp(c_SetInterval_OatLeast(X1,tc_prod(X2,X3)),X4,X2,X3,X5),tc_prod(X5,X3))
| c_lessequals(X1,c_Pair(c_Main_Orel__compE__2(c_SetInterval_OatLeast(X1,tc_prod(X2,X3)),X4,X0,X2,X3,X5),c_Main_Orel__compE__3(c_SetInterval_OatLeast(X1,tc_prod(X2,X3)),X4,X0,X2,X3,X5),X2,X3),tc_prod(X2,X3))
| ~ class_Orderings_Oord(tc_prod(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1188])]) ).
fof(f5017,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Relation_Orel__comp(c_SetInterval_OatLeast(X1,tc_prod(X2,X3)),X4,X2,X3,X5),tc_prod(X5,X3))
| c_lessequals(X1,c_Pair(c_Main_Orel__compE__2(c_SetInterval_OatLeast(X1,tc_prod(X2,X3)),X4,X0,X2,X3,X5),c_Main_Orel__compE__3(c_SetInterval_OatLeast(X1,tc_prod(X2,X3)),X4,X0,X2,X3,X5),X2,X3),tc_prod(X2,X3))
| ~ class_Orderings_Oord(tc_prod(X2,X3)) )
| ~ spl0_441
| ~ spl0_605 ),
inference(resolution,[],[f4975,f3646]) ).
fof(f32926,plain,
( spl0_1187
| ~ spl0_450
| ~ spl0_605 ),
inference(avatar_split_clause,[],[f5011,f4974,f3681,f32924]) ).
fof(f32924,plain,
( spl0_1187
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ c_in(X0,c_Relation_Orel__comp(c_SetInterval_OlessThan(X1,tc_prod(X2,X3)),X4,X2,X3,X5),tc_prod(X5,X3))
| c_less(c_Pair(c_Main_Orel__compE__2(c_SetInterval_OlessThan(X1,tc_prod(X2,X3)),X4,X0,X2,X3,X5),c_Main_Orel__compE__3(c_SetInterval_OlessThan(X1,tc_prod(X2,X3)),X4,X0,X2,X3,X5),X2,X3),X1,tc_prod(X2,X3))
| ~ class_Orderings_Oord(tc_prod(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1187])]) ).
fof(f5011,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Relation_Orel__comp(c_SetInterval_OlessThan(X1,tc_prod(X2,X3)),X4,X2,X3,X5),tc_prod(X5,X3))
| c_less(c_Pair(c_Main_Orel__compE__2(c_SetInterval_OlessThan(X1,tc_prod(X2,X3)),X4,X0,X2,X3,X5),c_Main_Orel__compE__3(c_SetInterval_OlessThan(X1,tc_prod(X2,X3)),X4,X0,X2,X3,X5),X2,X3),X1,tc_prod(X2,X3))
| ~ class_Orderings_Oord(tc_prod(X2,X3)) )
| ~ spl0_450
| ~ spl0_605 ),
inference(resolution,[],[f4975,f3682]) ).
fof(f32922,plain,
( spl0_1186
| ~ spl0_444
| ~ spl0_605 ),
inference(avatar_split_clause,[],[f5010,f4974,f3657,f32920]) ).
fof(f32920,plain,
( spl0_1186
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ c_in(X0,c_Relation_Orel__comp(c_SetInterval_OatMost(X1,tc_prod(X2,X3)),X4,X2,X3,X5),tc_prod(X5,X3))
| c_lessequals(c_Pair(c_Main_Orel__compE__2(c_SetInterval_OatMost(X1,tc_prod(X2,X3)),X4,X0,X2,X3,X5),c_Main_Orel__compE__3(c_SetInterval_OatMost(X1,tc_prod(X2,X3)),X4,X0,X2,X3,X5),X2,X3),X1,tc_prod(X2,X3))
| ~ class_Orderings_Oord(tc_prod(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1186])]) ).
fof(f5010,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Relation_Orel__comp(c_SetInterval_OatMost(X1,tc_prod(X2,X3)),X4,X2,X3,X5),tc_prod(X5,X3))
| c_lessequals(c_Pair(c_Main_Orel__compE__2(c_SetInterval_OatMost(X1,tc_prod(X2,X3)),X4,X0,X2,X3,X5),c_Main_Orel__compE__3(c_SetInterval_OatMost(X1,tc_prod(X2,X3)),X4,X0,X2,X3,X5),X2,X3),X1,tc_prod(X2,X3))
| ~ class_Orderings_Oord(tc_prod(X2,X3)) )
| ~ spl0_444
| ~ spl0_605 ),
inference(resolution,[],[f4975,f3658]) ).
fof(f32918,plain,
( spl0_1185
| ~ spl0_429
| ~ spl0_584 ),
inference(avatar_split_clause,[],[f4813,f4790,f3596,f32916]) ).
fof(f32916,plain,
( spl0_1185
<=> ! [X0,X3,X2,X1] :
( c_Main_OsubsetI__1(c_Relation_Oconverse(X0,X1,X2),X3,tc_prod(X2,X1)) = c_Pair(c_Main_OconverseE__2(X0,c_Main_OsubsetI__1(c_Relation_Oconverse(X0,X1,X2),X3,tc_prod(X2,X1)),X1,X2),c_Main_OconverseE__1(X0,c_Main_OsubsetI__1(c_Relation_Oconverse(X0,X1,X2),X3,tc_prod(X2,X1)),X1,X2),X2,X1)
| c_lessequals(c_Relation_Oconverse(X0,X1,X2),X3,tc_set(tc_prod(X2,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1185])]) ).
fof(f4813,plain,
( ! [X2,X3,X0,X1] :
( c_Main_OsubsetI__1(c_Relation_Oconverse(X0,X1,X2),X3,tc_prod(X2,X1)) = c_Pair(c_Main_OconverseE__2(X0,c_Main_OsubsetI__1(c_Relation_Oconverse(X0,X1,X2),X3,tc_prod(X2,X1)),X1,X2),c_Main_OconverseE__1(X0,c_Main_OsubsetI__1(c_Relation_Oconverse(X0,X1,X2),X3,tc_prod(X2,X1)),X1,X2),X2,X1)
| c_lessequals(c_Relation_Oconverse(X0,X1,X2),X3,tc_set(tc_prod(X2,X1))) )
| ~ spl0_429
| ~ spl0_584 ),
inference(resolution,[],[f4791,f3597]) ).
fof(f32914,plain,
( spl0_1184
| ~ spl0_575
| ~ spl0_581 ),
inference(avatar_split_clause,[],[f4770,f4702,f4578,f32912]) ).
fof(f32912,plain,
( spl0_1184
<=> ! [X5,X4,X2,X0,X6,X3,X1] :
( ~ c_in(X0,c_Relation_OImage(c_Relation_OImage(X1,c_insert(X2,c_emptyset,X3),X3,tc_prod(X4,X5)),X6,X4,X5),X5)
| c_in(c_Pair(X2,c_Pair(c_Main_OImageE__1(X6,X0,c_Relation_OImage(X1,c_insert(X2,c_emptyset,X3),X3,tc_prod(X4,X5)),X4,X5),X0,X4,X5),X3,tc_prod(X4,X5)),X1,tc_prod(X3,tc_prod(X4,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1184])]) ).
fof(f4770,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_in(X0,c_Relation_OImage(c_Relation_OImage(X1,c_insert(X2,c_emptyset,X3),X3,tc_prod(X4,X5)),X6,X4,X5),X5)
| c_in(c_Pair(X2,c_Pair(c_Main_OImageE__1(X6,X0,c_Relation_OImage(X1,c_insert(X2,c_emptyset,X3),X3,tc_prod(X4,X5)),X4,X5),X0,X4,X5),X3,tc_prod(X4,X5)),X1,tc_prod(X3,tc_prod(X4,X5))) )
| ~ spl0_575
| ~ spl0_581 ),
inference(resolution,[],[f4703,f4579]) ).
fof(f32910,plain,
( spl0_1183
| ~ spl0_496
| ~ spl0_580 ),
inference(avatar_split_clause,[],[f4737,f4698,f3967,f32908]) ).
fof(f32908,plain,
( spl0_1183
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(c_insert(X1,X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_in(c_Main_OuprodE__1(c_insert(X1,X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X5,X0,X3,X4),X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_Main_OuprodE__1(c_insert(X1,X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X5,X0,X3,X4) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1183])]) ).
fof(f4737,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(c_insert(X1,X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_in(c_Main_OuprodE__1(c_insert(X1,X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X5,X0,X3,X4),X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_Main_OuprodE__1(c_insert(X1,X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X5,X0,X3,X4) = X1 )
| ~ spl0_496
| ~ spl0_580 ),
inference(resolution,[],[f4699,f3968]) ).
fof(f32866,plain,
( spl0_1182
| ~ spl0_496
| ~ spl0_579 ),
inference(avatar_split_clause,[],[f4717,f4694,f3967,f32864]) ).
fof(f32864,plain,
( spl0_1182
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(X1,c_insert(X2,X3,tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)))
| c_in(c_Main_OuprodE__2(X1,c_insert(X2,X3,tc_set(tc_Datatype__Universe_Onode(X4,X5))),X0,X4,X5),X3,tc_set(tc_Datatype__Universe_Onode(X4,X5)))
| c_Main_OuprodE__2(X1,c_insert(X2,X3,tc_set(tc_Datatype__Universe_Onode(X4,X5))),X0,X4,X5) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1182])]) ).
fof(f4717,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(X1,c_insert(X2,X3,tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)))
| c_in(c_Main_OuprodE__2(X1,c_insert(X2,X3,tc_set(tc_Datatype__Universe_Onode(X4,X5))),X0,X4,X5),X3,tc_set(tc_Datatype__Universe_Onode(X4,X5)))
| c_Main_OuprodE__2(X1,c_insert(X2,X3,tc_set(tc_Datatype__Universe_Onode(X4,X5))),X0,X4,X5) = X2 )
| ~ spl0_496
| ~ spl0_579 ),
inference(resolution,[],[f4695,f3968]) ).
fof(f31922,plain,
( spl0_1181
| ~ spl0_472
| ~ spl0_611 ),
inference(avatar_split_clause,[],[f5098,f5070,f3846,f31920]) ).
fof(f31920,plain,
( spl0_1181
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
| c_in(c_Pair(X0,X5,X2,X6),c_Relation_Orel__comp(c_Main_OUnionE__1(c_Pair(X1,X5,X3,X6),X7,tc_prod(X3,X6)),X4,X3,X6,X2),tc_prod(X2,X6))
| ~ c_in(c_Pair(X1,X5,X3,X6),c_Union(X7,tc_prod(X3,X6)),tc_prod(X3,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1181])]) ).
fof(f3846,plain,
( spl0_472
<=> ! [X12,X32,X1] :
( ~ c_in(X12,c_Union(X32,X1),X1)
| c_in(X12,c_Main_OUnionE__1(X12,X32,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_472])]) ).
fof(f5098,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
| c_in(c_Pair(X0,X5,X2,X6),c_Relation_Orel__comp(c_Main_OUnionE__1(c_Pair(X1,X5,X3,X6),X7,tc_prod(X3,X6)),X4,X3,X6,X2),tc_prod(X2,X6))
| ~ c_in(c_Pair(X1,X5,X3,X6),c_Union(X7,tc_prod(X3,X6)),tc_prod(X3,X6)) )
| ~ spl0_472
| ~ spl0_611 ),
inference(resolution,[],[f5071,f3847]) ).
fof(f3847,plain,
( ! [X1,X12,X32] :
( c_in(X12,c_Main_OUnionE__1(X12,X32,X1),X1)
| ~ c_in(X12,c_Union(X32,X1),X1) )
| ~ spl0_472 ),
inference(avatar_component_clause,[],[f3846]) ).
fof(f31918,plain,
( spl0_1180
| ~ spl0_606
| ~ spl0_611 ),
inference(avatar_split_clause,[],[f5089,f5070,f4978,f31916]) ).
fof(f31916,plain,
( spl0_1180
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ c_in(c_Pair(X0,c_Main_Orel__compE__1(X1,X2,X3,X4,X5,X6),X7,X6),X8,tc_prod(X7,X6))
| c_in(c_Pair(X0,c_Main_Orel__compE__2(X1,X2,X3,X4,X5,X6),X7,X4),c_Relation_Orel__comp(X2,X8,X6,X4,X7),tc_prod(X7,X4))
| ~ c_in(X3,c_Relation_Orel__comp(X1,X2,X4,X5,X6),tc_prod(X6,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1180])]) ).
fof(f5089,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ c_in(c_Pair(X0,c_Main_Orel__compE__1(X1,X2,X3,X4,X5,X6),X7,X6),X8,tc_prod(X7,X6))
| c_in(c_Pair(X0,c_Main_Orel__compE__2(X1,X2,X3,X4,X5,X6),X7,X4),c_Relation_Orel__comp(X2,X8,X6,X4,X7),tc_prod(X7,X4))
| ~ c_in(X3,c_Relation_Orel__comp(X1,X2,X4,X5,X6),tc_prod(X6,X5)) )
| ~ spl0_606
| ~ spl0_611 ),
inference(resolution,[],[f5071,f4979]) ).
fof(f31914,plain,
( spl0_1179
| ~ spl0_605
| ~ spl0_611 ),
inference(avatar_split_clause,[],[f5088,f5070,f4974,f31912]) ).
fof(f31912,plain,
( spl0_1179
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ c_in(c_Pair(X0,c_Main_Orel__compE__2(X1,X2,X3,X4,X5,X6),X7,X4),X8,tc_prod(X7,X4))
| c_in(c_Pair(X0,c_Main_Orel__compE__3(X1,X2,X3,X4,X5,X6),X7,X5),c_Relation_Orel__comp(X1,X8,X4,X5,X7),tc_prod(X7,X5))
| ~ c_in(X3,c_Relation_Orel__comp(X1,X2,X4,X5,X6),tc_prod(X6,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1179])]) ).
fof(f5088,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ c_in(c_Pair(X0,c_Main_Orel__compE__2(X1,X2,X3,X4,X5,X6),X7,X4),X8,tc_prod(X7,X4))
| c_in(c_Pair(X0,c_Main_Orel__compE__3(X1,X2,X3,X4,X5,X6),X7,X5),c_Relation_Orel__comp(X1,X8,X4,X5,X7),tc_prod(X7,X5))
| ~ c_in(X3,c_Relation_Orel__comp(X1,X2,X4,X5,X6),tc_prod(X6,X5)) )
| ~ spl0_605
| ~ spl0_611 ),
inference(resolution,[],[f5071,f4975]) ).
fof(f31910,plain,
( spl0_1178
| ~ spl0_410
| ~ spl0_606 ),
inference(avatar_split_clause,[],[f5032,f4978,f3501,f31908]) ).
fof(f31908,plain,
( spl0_1178
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ c_in(X0,c_Relation_Orel__comp(X1,c_uminus(X2,tc_set(tc_prod(X3,X4))),X4,X5,X3),tc_prod(X3,X5))
| ~ c_in(c_Pair(c_Main_Orel__compE__1(X1,c_uminus(X2,tc_set(tc_prod(X3,X4))),X0,X4,X5,X3),c_Main_Orel__compE__2(X1,c_uminus(X2,tc_set(tc_prod(X3,X4))),X0,X4,X5,X3),X3,X4),X2,tc_prod(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1178])]) ).
fof(f5032,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Relation_Orel__comp(X1,c_uminus(X2,tc_set(tc_prod(X3,X4))),X4,X5,X3),tc_prod(X3,X5))
| ~ c_in(c_Pair(c_Main_Orel__compE__1(X1,c_uminus(X2,tc_set(tc_prod(X3,X4))),X0,X4,X5,X3),c_Main_Orel__compE__2(X1,c_uminus(X2,tc_set(tc_prod(X3,X4))),X0,X4,X5,X3),X3,X4),X2,tc_prod(X3,X4)) )
| ~ spl0_410
| ~ spl0_606 ),
inference(resolution,[],[f4979,f3502]) ).
fof(f31906,plain,
( spl0_1177
| ~ spl0_413
| ~ spl0_606 ),
inference(avatar_split_clause,[],[f5030,f4978,f3513,f31904]) ).
fof(f31904,plain,
( spl0_1177
<=> ! [X5,X4,X2,X0,X6,X3,X1] :
( ~ c_in(X0,c_Relation_Orel__comp(X1,c_inter(X2,X3,tc_prod(X4,X5)),X5,X6,X4),tc_prod(X4,X6))
| c_in(c_Pair(c_Main_Orel__compE__1(X1,c_inter(X2,X3,tc_prod(X4,X5)),X0,X5,X6,X4),c_Main_Orel__compE__2(X1,c_inter(X2,X3,tc_prod(X4,X5)),X0,X5,X6,X4),X4,X5),X3,tc_prod(X4,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1177])]) ).
fof(f5030,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_in(X0,c_Relation_Orel__comp(X1,c_inter(X2,X3,tc_prod(X4,X5)),X5,X6,X4),tc_prod(X4,X6))
| c_in(c_Pair(c_Main_Orel__compE__1(X1,c_inter(X2,X3,tc_prod(X4,X5)),X0,X5,X6,X4),c_Main_Orel__compE__2(X1,c_inter(X2,X3,tc_prod(X4,X5)),X0,X5,X6,X4),X4,X5),X3,tc_prod(X4,X5)) )
| ~ spl0_413
| ~ spl0_606 ),
inference(resolution,[],[f4979,f3514]) ).
fof(f31902,plain,
( spl0_1176
| ~ spl0_414
| ~ spl0_606 ),
inference(avatar_split_clause,[],[f5029,f4978,f3517,f31900]) ).
fof(f31900,plain,
( spl0_1176
<=> ! [X5,X4,X2,X0,X6,X3,X1] :
( ~ c_in(X0,c_Relation_Orel__comp(X1,c_inter(X2,X3,tc_prod(X4,X5)),X5,X6,X4),tc_prod(X4,X6))
| c_in(c_Pair(c_Main_Orel__compE__1(X1,c_inter(X2,X3,tc_prod(X4,X5)),X0,X5,X6,X4),c_Main_Orel__compE__2(X1,c_inter(X2,X3,tc_prod(X4,X5)),X0,X5,X6,X4),X4,X5),X2,tc_prod(X4,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1176])]) ).
fof(f5029,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_in(X0,c_Relation_Orel__comp(X1,c_inter(X2,X3,tc_prod(X4,X5)),X5,X6,X4),tc_prod(X4,X6))
| c_in(c_Pair(c_Main_Orel__compE__1(X1,c_inter(X2,X3,tc_prod(X4,X5)),X0,X5,X6,X4),c_Main_Orel__compE__2(X1,c_inter(X2,X3,tc_prod(X4,X5)),X0,X5,X6,X4),X4,X5),X2,tc_prod(X4,X5)) )
| ~ spl0_414
| ~ spl0_606 ),
inference(resolution,[],[f4979,f3518]) ).
fof(f31898,plain,
( spl0_1175
| ~ spl0_410
| ~ spl0_605 ),
inference(avatar_split_clause,[],[f5002,f4974,f3501,f31896]) ).
fof(f31896,plain,
( spl0_1175
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ c_in(X0,c_Relation_Orel__comp(c_uminus(X1,tc_set(tc_prod(X2,X3))),X4,X2,X3,X5),tc_prod(X5,X3))
| ~ c_in(c_Pair(c_Main_Orel__compE__2(c_uminus(X1,tc_set(tc_prod(X2,X3))),X4,X0,X2,X3,X5),c_Main_Orel__compE__3(c_uminus(X1,tc_set(tc_prod(X2,X3))),X4,X0,X2,X3,X5),X2,X3),X1,tc_prod(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1175])]) ).
fof(f5002,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Relation_Orel__comp(c_uminus(X1,tc_set(tc_prod(X2,X3))),X4,X2,X3,X5),tc_prod(X5,X3))
| ~ c_in(c_Pair(c_Main_Orel__compE__2(c_uminus(X1,tc_set(tc_prod(X2,X3))),X4,X0,X2,X3,X5),c_Main_Orel__compE__3(c_uminus(X1,tc_set(tc_prod(X2,X3))),X4,X0,X2,X3,X5),X2,X3),X1,tc_prod(X2,X3)) )
| ~ spl0_410
| ~ spl0_605 ),
inference(resolution,[],[f4975,f3502]) ).
fof(f31894,plain,
( spl0_1174
| ~ spl0_413
| ~ spl0_605 ),
inference(avatar_split_clause,[],[f5000,f4974,f3513,f31892]) ).
fof(f31892,plain,
( spl0_1174
<=> ! [X5,X4,X2,X0,X6,X3,X1] :
( ~ c_in(X0,c_Relation_Orel__comp(c_inter(X1,X2,tc_prod(X3,X4)),X5,X3,X4,X6),tc_prod(X6,X4))
| c_in(c_Pair(c_Main_Orel__compE__2(c_inter(X1,X2,tc_prod(X3,X4)),X5,X0,X3,X4,X6),c_Main_Orel__compE__3(c_inter(X1,X2,tc_prod(X3,X4)),X5,X0,X3,X4,X6),X3,X4),X2,tc_prod(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1174])]) ).
fof(f5000,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_in(X0,c_Relation_Orel__comp(c_inter(X1,X2,tc_prod(X3,X4)),X5,X3,X4,X6),tc_prod(X6,X4))
| c_in(c_Pair(c_Main_Orel__compE__2(c_inter(X1,X2,tc_prod(X3,X4)),X5,X0,X3,X4,X6),c_Main_Orel__compE__3(c_inter(X1,X2,tc_prod(X3,X4)),X5,X0,X3,X4,X6),X3,X4),X2,tc_prod(X3,X4)) )
| ~ spl0_413
| ~ spl0_605 ),
inference(resolution,[],[f4975,f3514]) ).
fof(f31890,plain,
( spl0_1173
| ~ spl0_414
| ~ spl0_605 ),
inference(avatar_split_clause,[],[f4999,f4974,f3517,f31888]) ).
fof(f31888,plain,
( spl0_1173
<=> ! [X5,X4,X2,X0,X6,X3,X1] :
( ~ c_in(X0,c_Relation_Orel__comp(c_inter(X1,X2,tc_prod(X3,X4)),X5,X3,X4,X6),tc_prod(X6,X4))
| c_in(c_Pair(c_Main_Orel__compE__2(c_inter(X1,X2,tc_prod(X3,X4)),X5,X0,X3,X4,X6),c_Main_Orel__compE__3(c_inter(X1,X2,tc_prod(X3,X4)),X5,X0,X3,X4,X6),X3,X4),X1,tc_prod(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1173])]) ).
fof(f4999,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_in(X0,c_Relation_Orel__comp(c_inter(X1,X2,tc_prod(X3,X4)),X5,X3,X4,X6),tc_prod(X6,X4))
| c_in(c_Pair(c_Main_Orel__compE__2(c_inter(X1,X2,tc_prod(X3,X4)),X5,X0,X3,X4,X6),c_Main_Orel__compE__3(c_inter(X1,X2,tc_prod(X3,X4)),X5,X0,X3,X4,X6),X3,X4),X1,tc_prod(X3,X4)) )
| ~ spl0_414
| ~ spl0_605 ),
inference(resolution,[],[f4975,f3518]) ).
fof(f31760,plain,
( spl0_1172
| ~ spl0_650
| ~ spl0_1104 ),
inference(avatar_split_clause,[],[f26928,f25669,f5667,f31758]) ).
fof(f31758,plain,
( spl0_1172
<=> ! [X0] : c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Message_Osynth(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)))),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1172])]) ).
fof(f25669,plain,
( spl0_1104
<=> ! [X0] : c_in(X0,c_Message_Oanalz(c_Message_Osynth(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg))),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1104])]) ).
fof(f26928,plain,
( ! [X0] : c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Message_Osynth(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)))),tc_Message_Omsg)
| ~ spl0_650
| ~ spl0_1104 ),
inference(resolution,[],[f25670,f5668]) ).
fof(f25670,plain,
( ! [X0] : c_in(X0,c_Message_Oanalz(c_Message_Osynth(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg))),tc_Message_Omsg)
| ~ spl0_1104 ),
inference(avatar_component_clause,[],[f25669]) ).
fof(f31328,plain,
( spl0_1171
| ~ spl0_570
| ~ spl0_575 ),
inference(avatar_split_clause,[],[f4651,f4578,f4557,f31326]) ).
fof(f31326,plain,
( spl0_1171
<=> ! [X3,X4,X0,X5,X2,X1] :
( c_in(c_Pair(X0,c_Pair(c_Main_ORangeE__1(X1,c_Relation_OImage(X2,c_insert(X0,c_emptyset,X3),X3,tc_prod(X4,X5)),X5,X4),X1,X4,X5),X3,tc_prod(X4,X5)),X2,tc_prod(X3,tc_prod(X4,X5)))
| ~ c_in(X1,c_Relation_ORange(c_Relation_OImage(X2,c_insert(X0,c_emptyset,X3),X3,tc_prod(X4,X5)),X4,X5),X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1171])]) ).
fof(f4651,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( c_in(c_Pair(X0,c_Pair(c_Main_ORangeE__1(X1,c_Relation_OImage(X2,c_insert(X0,c_emptyset,X3),X3,tc_prod(X4,X5)),X5,X4),X1,X4,X5),X3,tc_prod(X4,X5)),X2,tc_prod(X3,tc_prod(X4,X5)))
| ~ c_in(X1,c_Relation_ORange(c_Relation_OImage(X2,c_insert(X0,c_emptyset,X3),X3,tc_prod(X4,X5)),X4,X5),X5) )
| ~ spl0_570
| ~ spl0_575 ),
inference(resolution,[],[f4579,f4558]) ).
fof(f31324,plain,
( spl0_1170
| ~ spl0_569
| ~ spl0_575 ),
inference(avatar_split_clause,[],[f4650,f4578,f4553,f31322]) ).
fof(f31322,plain,
( spl0_1170
<=> ! [X3,X4,X0,X5,X2,X1] :
( c_in(c_Pair(X0,c_Pair(X1,c_Main_ODomainE__1(X1,c_Relation_OImage(X2,c_insert(X0,c_emptyset,X3),X3,tc_prod(X4,X5)),X4,X5),X4,X5),X3,tc_prod(X4,X5)),X2,tc_prod(X3,tc_prod(X4,X5)))
| ~ c_in(X1,c_Relation_ODomain(c_Relation_OImage(X2,c_insert(X0,c_emptyset,X3),X3,tc_prod(X4,X5)),X4,X5),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1170])]) ).
fof(f4650,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( c_in(c_Pair(X0,c_Pair(X1,c_Main_ODomainE__1(X1,c_Relation_OImage(X2,c_insert(X0,c_emptyset,X3),X3,tc_prod(X4,X5)),X4,X5),X4,X5),X3,tc_prod(X4,X5)),X2,tc_prod(X3,tc_prod(X4,X5)))
| ~ c_in(X1,c_Relation_ODomain(c_Relation_OImage(X2,c_insert(X0,c_emptyset,X3),X3,tc_prod(X4,X5)),X4,X5),X4) )
| ~ spl0_569
| ~ spl0_575 ),
inference(resolution,[],[f4579,f4554]) ).
fof(f31320,plain,
( spl0_1169
| ~ spl0_496
| ~ spl0_570 ),
inference(avatar_split_clause,[],[f4623,f4557,f3967,f31318]) ).
fof(f31318,plain,
( spl0_1169
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_ORange(c_insert(X1,X2,tc_prod(X3,X4)),X3,X4),X4)
| c_in(c_Pair(c_Main_ORangeE__1(X0,c_insert(X1,X2,tc_prod(X3,X4)),X4,X3),X0,X3,X4),X2,tc_prod(X3,X4))
| c_Pair(c_Main_ORangeE__1(X0,c_insert(X1,X2,tc_prod(X3,X4)),X4,X3),X0,X3,X4) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1169])]) ).
fof(f4623,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Relation_ORange(c_insert(X1,X2,tc_prod(X3,X4)),X3,X4),X4)
| c_in(c_Pair(c_Main_ORangeE__1(X0,c_insert(X1,X2,tc_prod(X3,X4)),X4,X3),X0,X3,X4),X2,tc_prod(X3,X4))
| c_Pair(c_Main_ORangeE__1(X0,c_insert(X1,X2,tc_prod(X3,X4)),X4,X3),X0,X3,X4) = X1 )
| ~ spl0_496
| ~ spl0_570 ),
inference(resolution,[],[f4558,f3968]) ).
fof(f31316,plain,
( spl0_1168
| ~ spl0_496
| ~ spl0_569 ),
inference(avatar_split_clause,[],[f4598,f4553,f3967,f31314]) ).
fof(f31314,plain,
( spl0_1168
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_ODomain(c_insert(X1,X2,tc_prod(X3,X4)),X3,X4),X3)
| c_in(c_Pair(X0,c_Main_ODomainE__1(X0,c_insert(X1,X2,tc_prod(X3,X4)),X3,X4),X3,X4),X2,tc_prod(X3,X4))
| c_Pair(X0,c_Main_ODomainE__1(X0,c_insert(X1,X2,tc_prod(X3,X4)),X3,X4),X3,X4) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1168])]) ).
fof(f4598,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Relation_ODomain(c_insert(X1,X2,tc_prod(X3,X4)),X3,X4),X3)
| c_in(c_Pair(X0,c_Main_ODomainE__1(X0,c_insert(X1,X2,tc_prod(X3,X4)),X3,X4),X3,X4),X2,tc_prod(X3,X4))
| c_Pair(X0,c_Main_ODomainE__1(X0,c_insert(X1,X2,tc_prod(X3,X4)),X3,X4),X3,X4) = X1 )
| ~ spl0_496
| ~ spl0_569 ),
inference(resolution,[],[f4554,f3968]) ).
fof(f31028,plain,
( spl0_1167
| ~ spl0_652
| ~ spl0_1104 ),
inference(avatar_split_clause,[],[f26926,f25669,f5675,f31026]) ).
fof(f31026,plain,
( spl0_1167
<=> ! [X0] : c_in(X0,c_Message_Oparts(c_Message_Oanalz(c_Message_Osynth(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)))),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1167])]) ).
fof(f26926,plain,
( ! [X0] : c_in(X0,c_Message_Oparts(c_Message_Oanalz(c_Message_Osynth(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)))),tc_Message_Omsg)
| ~ spl0_652
| ~ spl0_1104 ),
inference(resolution,[],[f25670,f5676]) ).
fof(f30917,plain,
( spl0_1166
| ~ spl0_407
| ~ spl0_606 ),
inference(avatar_split_clause,[],[f5043,f4978,f3489,f30915]) ).
fof(f30915,plain,
( spl0_1166
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ c_in(X0,c_Relation_Orel__comp(X1,c_Datatype_Oo2s(X2,tc_prod(X3,X4)),X4,X5,X3),tc_prod(X3,X5))
| c_Datatype_Ooption_OSome(c_Pair(c_Main_Orel__compE__1(X1,c_Datatype_Oo2s(X2,tc_prod(X3,X4)),X0,X4,X5,X3),c_Main_Orel__compE__2(X1,c_Datatype_Oo2s(X2,tc_prod(X3,X4)),X0,X4,X5,X3),X3,X4),tc_prod(X3,X4)) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1166])]) ).
fof(f5043,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Relation_Orel__comp(X1,c_Datatype_Oo2s(X2,tc_prod(X3,X4)),X4,X5,X3),tc_prod(X3,X5))
| c_Datatype_Ooption_OSome(c_Pair(c_Main_Orel__compE__1(X1,c_Datatype_Oo2s(X2,tc_prod(X3,X4)),X0,X4,X5,X3),c_Main_Orel__compE__2(X1,c_Datatype_Oo2s(X2,tc_prod(X3,X4)),X0,X4,X5,X3),X3,X4),tc_prod(X3,X4)) = X2 )
| ~ spl0_407
| ~ spl0_606 ),
inference(resolution,[],[f4979,f3490]) ).
fof(f30913,plain,
( spl0_1165
| ~ spl0_407
| ~ spl0_605 ),
inference(avatar_split_clause,[],[f5013,f4974,f3489,f30911]) ).
fof(f30911,plain,
( spl0_1165
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ c_in(X0,c_Relation_Orel__comp(c_Datatype_Oo2s(X1,tc_prod(X2,X3)),X4,X2,X3,X5),tc_prod(X5,X3))
| c_Datatype_Ooption_OSome(c_Pair(c_Main_Orel__compE__2(c_Datatype_Oo2s(X1,tc_prod(X2,X3)),X4,X0,X2,X3,X5),c_Main_Orel__compE__3(c_Datatype_Oo2s(X1,tc_prod(X2,X3)),X4,X0,X2,X3,X5),X2,X3),tc_prod(X2,X3)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1165])]) ).
fof(f5013,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Relation_Orel__comp(c_Datatype_Oo2s(X1,tc_prod(X2,X3)),X4,X2,X3,X5),tc_prod(X5,X3))
| c_Datatype_Ooption_OSome(c_Pair(c_Main_Orel__compE__2(c_Datatype_Oo2s(X1,tc_prod(X2,X3)),X4,X0,X2,X3,X5),c_Main_Orel__compE__3(c_Datatype_Oo2s(X1,tc_prod(X2,X3)),X4,X0,X2,X3,X5),X2,X3),tc_prod(X2,X3)) = X1 )
| ~ spl0_407
| ~ spl0_605 ),
inference(resolution,[],[f4975,f3490]) ).
fof(f30909,plain,
( spl0_1164
| ~ spl0_514
| ~ spl0_590 ),
inference(avatar_split_clause,[],[f4865,f4831,f4093,f30907]) ).
fof(f30907,plain,
( spl0_1164
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_Oconverse(c_Inter(X1,tc_prod(X2,X3)),X2,X3),tc_prod(X3,X2))
| ~ c_in(X4,X1,tc_set(tc_prod(X2,X3)))
| c_in(c_Pair(c_Main_OconverseE__1(c_Inter(X1,tc_prod(X2,X3)),X0,X2,X3),c_Main_OconverseE__2(c_Inter(X1,tc_prod(X2,X3)),X0,X2,X3),X2,X3),X4,tc_prod(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1164])]) ).
fof(f4865,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Relation_Oconverse(c_Inter(X1,tc_prod(X2,X3)),X2,X3),tc_prod(X3,X2))
| ~ c_in(X4,X1,tc_set(tc_prod(X2,X3)))
| c_in(c_Pair(c_Main_OconverseE__1(c_Inter(X1,tc_prod(X2,X3)),X0,X2,X3),c_Main_OconverseE__2(c_Inter(X1,tc_prod(X2,X3)),X0,X2,X3),X2,X3),X4,tc_prod(X2,X3)) )
| ~ spl0_514
| ~ spl0_590 ),
inference(resolution,[],[f4832,f4094]) ).
fof(f30905,plain,
( spl0_1163
| ~ spl0_534
| ~ spl0_581 ),
inference(avatar_split_clause,[],[f4768,f4702,f4289,f30903]) ).
fof(f30903,plain,
( spl0_1163
<=> ! [X2,X0,X1] :
( ~ c_in(X0,c_Relation_OImage(c_Relation_OId,X1,X2,X2),X2)
| c_Pair(c_Main_OImageE__1(X1,X0,c_Relation_OId,X2,X2),X0,X2,X2) = c_Pair(c_Main_OIdE__1(c_Pair(c_Main_OImageE__1(X1,X0,c_Relation_OId,X2,X2),X0,X2,X2),X2),c_Main_OIdE__1(c_Pair(c_Main_OImageE__1(X1,X0,c_Relation_OId,X2,X2),X0,X2,X2),X2),X2,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1163])]) ).
fof(f4768,plain,
( ! [X2,X0,X1] :
( ~ c_in(X0,c_Relation_OImage(c_Relation_OId,X1,X2,X2),X2)
| c_Pair(c_Main_OImageE__1(X1,X0,c_Relation_OId,X2,X2),X0,X2,X2) = c_Pair(c_Main_OIdE__1(c_Pair(c_Main_OImageE__1(X1,X0,c_Relation_OId,X2,X2),X0,X2,X2),X2),c_Main_OIdE__1(c_Pair(c_Main_OImageE__1(X1,X0,c_Relation_OId,X2,X2),X0,X2,X2),X2),X2,X2) )
| ~ spl0_534
| ~ spl0_581 ),
inference(resolution,[],[f4703,f4290]) ).
fof(f30314,plain,
( spl0_1162
| ~ spl0_650
| ~ spl0_1099 ),
inference(avatar_split_clause,[],[f25878,f25187,f5667,f30312]) ).
fof(f30312,plain,
( spl0_1162
<=> ! [X0] : c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)))),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1162])]) ).
fof(f25187,plain,
( spl0_1099
<=> ! [X0] : c_in(X0,c_Message_Oparts(c_Message_Osynth(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg))),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1099])]) ).
fof(f25878,plain,
( ! [X0] : c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_Message_Osynth(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)))),tc_Message_Omsg)
| ~ spl0_650
| ~ spl0_1099 ),
inference(resolution,[],[f25188,f5668]) ).
fof(f25188,plain,
( ! [X0] : c_in(X0,c_Message_Oparts(c_Message_Osynth(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg))),tc_Message_Omsg)
| ~ spl0_1099 ),
inference(avatar_component_clause,[],[f25187]) ).
fof(f29573,plain,
( spl0_1161
| ~ spl0_533
| ~ spl0_618 ),
inference(avatar_split_clause,[],[f5217,f5207,f4285,f29571]) ).
fof(f29571,plain,
( spl0_1161
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ c_in(c_Pair(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_in(c_Datatype__Universe_OIn1(X0,X2,X3),c_Relation_ODomain(c_Datatype__Universe_Odsum(X5,X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1161])]) ).
fof(f5217,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(c_Pair(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_in(c_Datatype__Universe_OIn1(X0,X2,X3),c_Relation_ODomain(c_Datatype__Universe_Odsum(X5,X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3))) )
| ~ spl0_533
| ~ spl0_618 ),
inference(resolution,[],[f5208,f4286]) ).
fof(f29569,plain,
( spl0_1160
| ~ spl0_536
| ~ spl0_618 ),
inference(avatar_split_clause,[],[f5216,f5207,f4297,f29567]) ).
fof(f29567,plain,
( spl0_1160
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ c_in(c_Pair(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_in(c_Datatype__Universe_OIn1(X1,X2,X3),c_Relation_ORange(c_Datatype__Universe_Odsum(X5,X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1160])]) ).
fof(f5216,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(c_Pair(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_in(c_Datatype__Universe_OIn1(X1,X2,X3),c_Relation_ORange(c_Datatype__Universe_Odsum(X5,X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3))) )
| ~ spl0_536
| ~ spl0_618 ),
inference(resolution,[],[f5208,f4298]) ).
fof(f29565,plain,
( spl0_1159
| ~ spl0_533
| ~ spl0_617 ),
inference(avatar_split_clause,[],[f5213,f5203,f4285,f29563]) ).
fof(f29563,plain,
( spl0_1159
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ c_in(c_Pair(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_in(c_Datatype__Universe_OIn0(X0,X2,X3),c_Relation_ODomain(c_Datatype__Universe_Odsum(X4,X5,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1159])]) ).
fof(f5213,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(c_Pair(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_in(c_Datatype__Universe_OIn0(X0,X2,X3),c_Relation_ODomain(c_Datatype__Universe_Odsum(X4,X5,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3))) )
| ~ spl0_533
| ~ spl0_617 ),
inference(resolution,[],[f5204,f4286]) ).
fof(f29561,plain,
( spl0_1158
| ~ spl0_536
| ~ spl0_617 ),
inference(avatar_split_clause,[],[f5212,f5203,f4297,f29559]) ).
fof(f29559,plain,
( spl0_1158
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ c_in(c_Pair(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_in(c_Datatype__Universe_OIn0(X1,X2,X3),c_Relation_ORange(c_Datatype__Universe_Odsum(X4,X5,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1158])]) ).
fof(f5212,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(c_Pair(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_in(c_Datatype__Universe_OIn0(X1,X2,X3),c_Relation_ORange(c_Datatype__Universe_Odsum(X4,X5,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),tc_set(tc_Datatype__Universe_Onode(X2,X3))) )
| ~ spl0_536
| ~ spl0_617 ),
inference(resolution,[],[f5204,f4298]) ).
fof(f29557,plain,
( spl0_1157
| ~ spl0_652
| ~ spl0_1099 ),
inference(avatar_split_clause,[],[f25876,f25187,f5675,f29555]) ).
fof(f29555,plain,
( spl0_1157
<=> ! [X0] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Message_Osynth(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)))),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1157])]) ).
fof(f25876,plain,
( ! [X0] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Message_Osynth(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)))),tc_Message_Omsg)
| ~ spl0_652
| ~ spl0_1099 ),
inference(resolution,[],[f25188,f5676]) ).
fof(f29553,plain,
( spl0_1156
| ~ spl0_608
| ~ spl0_613 ),
inference(avatar_split_clause,[],[f5133,f5112,f5054,f29551]) ).
fof(f29551,plain,
( spl0_1156
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ c_in(c_Pair(X0,c_List_Olist_OCons(X1,c_List_Olist_OCons(X2,X3,X4),X4),tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X5,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4)))
| c_in(c_Pair(c_Main_Olistrel__Cons2__1(X5,c_Main_Olistrel__Cons2__2(X5,X0,X1,c_List_Olist_OCons(X2,X3,X4),X4),X2,X3,X4),X2,X4,X4),X5,tc_prod(X4,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1156])]) ).
fof(f5054,plain,
( spl0_608
<=> ! [X3,X23,X5,X25,X1] :
( c_in(c_Pair(c_Main_Olistrel__Cons2__1(X5,X23,X3,X25,X1),X3,X1,X1),X5,tc_prod(X1,X1))
| ~ c_in(c_Pair(X23,c_List_Olist_OCons(X3,X25,X1),tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_608])]) ).
fof(f5133,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(c_Pair(X0,c_List_Olist_OCons(X1,c_List_Olist_OCons(X2,X3,X4),X4),tc_List_Olist(X4),tc_List_Olist(X4)),c_List_Olistrel(X5,X4),tc_prod(tc_List_Olist(X4),tc_List_Olist(X4)))
| c_in(c_Pair(c_Main_Olistrel__Cons2__1(X5,c_Main_Olistrel__Cons2__2(X5,X0,X1,c_List_Olist_OCons(X2,X3,X4),X4),X2,X3,X4),X2,X4,X4),X5,tc_prod(X4,X4)) )
| ~ spl0_608
| ~ spl0_613 ),
inference(resolution,[],[f5113,f5055]) ).
fof(f5055,plain,
( ! [X3,X1,X5,X25,X23] :
( ~ c_in(c_Pair(X23,c_List_Olist_OCons(X3,X25,X1),tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))
| c_in(c_Pair(c_Main_Olistrel__Cons2__1(X5,X23,X3,X25,X1),X3,X1,X1),X5,tc_prod(X1,X1)) )
| ~ spl0_608 ),
inference(avatar_component_clause,[],[f5054]) ).
fof(f29549,plain,
( spl0_1155
| ~ spl0_607
| ~ spl0_612 ),
inference(avatar_split_clause,[],[f5126,f5108,f5050,f29547]) ).
fof(f29547,plain,
( spl0_1155
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ c_in(c_Pair(c_List_Olist_OCons(X0,c_List_Olist_OCons(X1,X2,X3),X3),X4,tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olistrel(X5,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))
| c_in(c_Pair(X1,c_Main_Olistrel__Cons1__1(X5,c_Main_Olistrel__Cons1__2(X5,X4,X0,c_List_Olist_OCons(X1,X2,X3),X3),X1,X2,X3),X3,X3),X5,tc_prod(X3,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1155])]) ).
fof(f5050,plain,
( spl0_607
<=> ! [X3,X23,X5,X25,X1] :
( c_in(c_Pair(X3,c_Main_Olistrel__Cons1__1(X5,X23,X3,X25,X1),X1,X1),X5,tc_prod(X1,X1))
| ~ c_in(c_Pair(c_List_Olist_OCons(X3,X25,X1),X23,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_607])]) ).
fof(f5126,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(c_Pair(c_List_Olist_OCons(X0,c_List_Olist_OCons(X1,X2,X3),X3),X4,tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olistrel(X5,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))
| c_in(c_Pair(X1,c_Main_Olistrel__Cons1__1(X5,c_Main_Olistrel__Cons1__2(X5,X4,X0,c_List_Olist_OCons(X1,X2,X3),X3),X1,X2,X3),X3,X3),X5,tc_prod(X3,X3)) )
| ~ spl0_607
| ~ spl0_612 ),
inference(resolution,[],[f5109,f5051]) ).
fof(f5051,plain,
( ! [X3,X1,X5,X25,X23] :
( ~ c_in(c_Pair(c_List_Olist_OCons(X3,X25,X1),X23,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))
| c_in(c_Pair(X3,c_Main_Olistrel__Cons1__1(X5,X23,X3,X25,X1),X1,X1),X5,tc_prod(X1,X1)) )
| ~ spl0_607 ),
inference(avatar_component_clause,[],[f5050]) ).
fof(f29545,plain,
( spl0_1154
| ~ spl0_382
| ~ spl0_606 ),
inference(avatar_split_clause,[],[f5027,f4978,f3353,f29543]) ).
fof(f29543,plain,
( spl0_1154
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ c_in(X0,c_Relation_Orel__comp(X1,c_insert(X2,c_emptyset,tc_prod(X3,X4)),X4,X5,X3),tc_prod(X3,X5))
| c_Pair(c_Main_Orel__compE__1(X1,c_insert(X2,c_emptyset,tc_prod(X3,X4)),X0,X4,X5,X3),c_Main_Orel__compE__2(X1,c_insert(X2,c_emptyset,tc_prod(X3,X4)),X0,X4,X5,X3),X3,X4) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1154])]) ).
fof(f5027,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Relation_Orel__comp(X1,c_insert(X2,c_emptyset,tc_prod(X3,X4)),X4,X5,X3),tc_prod(X3,X5))
| c_Pair(c_Main_Orel__compE__1(X1,c_insert(X2,c_emptyset,tc_prod(X3,X4)),X0,X4,X5,X3),c_Main_Orel__compE__2(X1,c_insert(X2,c_emptyset,tc_prod(X3,X4)),X0,X4,X5,X3),X3,X4) = X2 )
| ~ spl0_382
| ~ spl0_606 ),
inference(resolution,[],[f4979,f3354]) ).
fof(f29541,plain,
( spl0_1153
| ~ spl0_382
| ~ spl0_605 ),
inference(avatar_split_clause,[],[f4997,f4974,f3353,f29539]) ).
fof(f29539,plain,
( spl0_1153
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ c_in(X0,c_Relation_Orel__comp(c_insert(X1,c_emptyset,tc_prod(X2,X3)),X4,X2,X3,X5),tc_prod(X5,X3))
| c_Pair(c_Main_Orel__compE__2(c_insert(X1,c_emptyset,tc_prod(X2,X3)),X4,X0,X2,X3,X5),c_Main_Orel__compE__3(c_insert(X1,c_emptyset,tc_prod(X2,X3)),X4,X0,X2,X3,X5),X2,X3) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1153])]) ).
fof(f4997,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Relation_Orel__comp(c_insert(X1,c_emptyset,tc_prod(X2,X3)),X4,X2,X3,X5),tc_prod(X5,X3))
| c_Pair(c_Main_Orel__compE__2(c_insert(X1,c_emptyset,tc_prod(X2,X3)),X4,X0,X2,X3,X5),c_Main_Orel__compE__3(c_insert(X1,c_emptyset,tc_prod(X2,X3)),X4,X0,X2,X3,X5),X2,X3) = X1 )
| ~ spl0_382
| ~ spl0_605 ),
inference(resolution,[],[f4975,f3354]) ).
fof(f29537,plain,
( spl0_1152
| ~ spl0_453
| ~ spl0_590 ),
inference(avatar_split_clause,[],[f4868,f4831,f3693,f29535]) ).
fof(f29535,plain,
( spl0_1152
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_Oconverse(c_minus(X1,X2,tc_set(tc_prod(X3,X4))),X3,X4),tc_prod(X4,X3))
| ~ c_in(c_Pair(c_Main_OconverseE__1(c_minus(X1,X2,tc_set(tc_prod(X3,X4))),X0,X3,X4),c_Main_OconverseE__2(c_minus(X1,X2,tc_set(tc_prod(X3,X4))),X0,X3,X4),X3,X4),X2,tc_prod(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1152])]) ).
fof(f4868,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Relation_Oconverse(c_minus(X1,X2,tc_set(tc_prod(X3,X4))),X3,X4),tc_prod(X4,X3))
| ~ c_in(c_Pair(c_Main_OconverseE__1(c_minus(X1,X2,tc_set(tc_prod(X3,X4))),X0,X3,X4),c_Main_OconverseE__2(c_minus(X1,X2,tc_set(tc_prod(X3,X4))),X0,X3,X4),X3,X4),X2,tc_prod(X3,X4)) )
| ~ spl0_453
| ~ spl0_590 ),
inference(resolution,[],[f4832,f3694]) ).
fof(f29533,plain,
( spl0_1151
| ~ spl0_454
| ~ spl0_590 ),
inference(avatar_split_clause,[],[f4867,f4831,f3697,f29531]) ).
fof(f29531,plain,
( spl0_1151
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_Oconverse(c_minus(X1,X2,tc_set(tc_prod(X3,X4))),X3,X4),tc_prod(X4,X3))
| c_in(c_Pair(c_Main_OconverseE__1(c_minus(X1,X2,tc_set(tc_prod(X3,X4))),X0,X3,X4),c_Main_OconverseE__2(c_minus(X1,X2,tc_set(tc_prod(X3,X4))),X0,X3,X4),X3,X4),X1,tc_prod(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1151])]) ).
fof(f4867,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Relation_Oconverse(c_minus(X1,X2,tc_set(tc_prod(X3,X4))),X3,X4),tc_prod(X4,X3))
| c_in(c_Pair(c_Main_OconverseE__1(c_minus(X1,X2,tc_set(tc_prod(X3,X4))),X0,X3,X4),c_Main_OconverseE__2(c_minus(X1,X2,tc_set(tc_prod(X3,X4))),X0,X3,X4),X3,X4),X1,tc_prod(X3,X4)) )
| ~ spl0_454
| ~ spl0_590 ),
inference(resolution,[],[f4832,f3698]) ).
fof(f29529,plain,
( spl0_1150
| ~ spl0_429
| ~ spl0_589 ),
inference(avatar_split_clause,[],[f4829,f4824,f3596,f29527]) ).
fof(f29527,plain,
( spl0_1150
<=> ! [X4,X0,X3,X2,X1] :
( c_in(c_Main_OPlusE__1(X0,c_Main_OsubsetI__1(c_Sum__Type_OPlus(X0,X1,X2,X3),X4,tc_sum(X2,X3)),X2,X3),X0,X2)
| c_in(c_Main_OPlusE__2(X1,c_Main_OsubsetI__1(c_Sum__Type_OPlus(X0,X1,X2,X3),X4,tc_sum(X2,X3)),X3,X2),X1,X3)
| c_lessequals(c_Sum__Type_OPlus(X0,X1,X2,X3),X4,tc_set(tc_sum(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1150])]) ).
fof(f4824,plain,
( spl0_589
<=> ! [X13,X14,X12,X2,X1] :
( c_in(c_Main_OPlusE__2(X13,X14,X2,X1),X13,X2)
| c_in(c_Main_OPlusE__1(X12,X14,X1,X2),X12,X1)
| ~ c_in(X14,c_Sum__Type_OPlus(X12,X13,X1,X2),tc_sum(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_589])]) ).
fof(f4829,plain,
( ! [X2,X3,X0,X1,X4] :
( c_in(c_Main_OPlusE__1(X0,c_Main_OsubsetI__1(c_Sum__Type_OPlus(X0,X1,X2,X3),X4,tc_sum(X2,X3)),X2,X3),X0,X2)
| c_in(c_Main_OPlusE__2(X1,c_Main_OsubsetI__1(c_Sum__Type_OPlus(X0,X1,X2,X3),X4,tc_sum(X2,X3)),X3,X2),X1,X3)
| c_lessequals(c_Sum__Type_OPlus(X0,X1,X2,X3),X4,tc_set(tc_sum(X2,X3))) )
| ~ spl0_429
| ~ spl0_589 ),
inference(resolution,[],[f4825,f3597]) ).
fof(f4825,plain,
( ! [X2,X1,X14,X12,X13] :
( ~ c_in(X14,c_Sum__Type_OPlus(X12,X13,X1,X2),tc_sum(X1,X2))
| c_in(c_Main_OPlusE__1(X12,X14,X1,X2),X12,X1)
| c_in(c_Main_OPlusE__2(X13,X14,X2,X1),X13,X2) )
| ~ spl0_589 ),
inference(avatar_component_clause,[],[f4824]) ).
fof(f28893,plain,
( spl0_1149
| ~ spl0_448
| ~ spl0_611 ),
inference(avatar_split_clause,[],[f5100,f5070,f3673,f28891]) ).
fof(f28891,plain,
( spl0_1149
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
| c_in(c_Pair(X0,X5,X2,X6),c_Relation_Orel__comp(c_SetInterval_OgreaterThan(X7,tc_prod(X3,X6)),X4,X3,X6,X2),tc_prod(X2,X6))
| ~ c_less(X7,c_Pair(X1,X5,X3,X6),tc_prod(X3,X6))
| ~ class_Orderings_Oord(tc_prod(X3,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1149])]) ).
fof(f3673,plain,
( spl0_448
<=> ! [X50,X16,X1] :
( ~ class_Orderings_Oord(X1)
| ~ c_less(X16,X50,X1)
| c_in(X50,c_SetInterval_OgreaterThan(X16,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_448])]) ).
fof(f5100,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
| c_in(c_Pair(X0,X5,X2,X6),c_Relation_Orel__comp(c_SetInterval_OgreaterThan(X7,tc_prod(X3,X6)),X4,X3,X6,X2),tc_prod(X2,X6))
| ~ c_less(X7,c_Pair(X1,X5,X3,X6),tc_prod(X3,X6))
| ~ class_Orderings_Oord(tc_prod(X3,X6)) )
| ~ spl0_448
| ~ spl0_611 ),
inference(resolution,[],[f5071,f3674]) ).
fof(f3674,plain,
( ! [X50,X1,X16] :
( c_in(X50,c_SetInterval_OgreaterThan(X16,X1),X1)
| ~ c_less(X16,X50,X1)
| ~ class_Orderings_Oord(X1) )
| ~ spl0_448 ),
inference(avatar_component_clause,[],[f3673]) ).
fof(f28877,plain,
( spl0_1148
| ~ spl0_442
| ~ spl0_611 ),
inference(avatar_split_clause,[],[f5099,f5070,f3649,f28875]) ).
fof(f28875,plain,
( spl0_1148
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
| c_in(c_Pair(X0,X5,X2,X6),c_Relation_Orel__comp(c_SetInterval_OatLeast(X7,tc_prod(X3,X6)),X4,X3,X6,X2),tc_prod(X2,X6))
| ~ c_lessequals(X7,c_Pair(X1,X5,X3,X6),tc_prod(X3,X6))
| ~ class_Orderings_Oord(tc_prod(X3,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1148])]) ).
fof(f3649,plain,
( spl0_442
<=> ! [X50,X16,X1] :
( ~ class_Orderings_Oord(X1)
| ~ c_lessequals(X16,X50,X1)
| c_in(X50,c_SetInterval_OatLeast(X16,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_442])]) ).
fof(f5099,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
| c_in(c_Pair(X0,X5,X2,X6),c_Relation_Orel__comp(c_SetInterval_OatLeast(X7,tc_prod(X3,X6)),X4,X3,X6,X2),tc_prod(X2,X6))
| ~ c_lessequals(X7,c_Pair(X1,X5,X3,X6),tc_prod(X3,X6))
| ~ class_Orderings_Oord(tc_prod(X3,X6)) )
| ~ spl0_442
| ~ spl0_611 ),
inference(resolution,[],[f5071,f3650]) ).
fof(f3650,plain,
( ! [X50,X1,X16] :
( c_in(X50,c_SetInterval_OatLeast(X16,X1),X1)
| ~ c_lessequals(X16,X50,X1)
| ~ class_Orderings_Oord(X1) )
| ~ spl0_442 ),
inference(avatar_component_clause,[],[f3649]) ).
fof(f28873,plain,
( spl0_1147
| ~ spl0_451
| ~ spl0_611 ),
inference(avatar_split_clause,[],[f5097,f5070,f3685,f28871]) ).
fof(f28871,plain,
( spl0_1147
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
| c_in(c_Pair(X0,X5,X2,X6),c_Relation_Orel__comp(c_SetInterval_OlessThan(X7,tc_prod(X3,X6)),X4,X3,X6,X2),tc_prod(X2,X6))
| ~ c_less(c_Pair(X1,X5,X3,X6),X7,tc_prod(X3,X6))
| ~ class_Orderings_Oord(tc_prod(X3,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1147])]) ).
fof(f3685,plain,
( spl0_451
<=> ! [X50,X16,X1] :
( ~ class_Orderings_Oord(X1)
| ~ c_less(X50,X16,X1)
| c_in(X50,c_SetInterval_OlessThan(X16,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_451])]) ).
fof(f5097,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
| c_in(c_Pair(X0,X5,X2,X6),c_Relation_Orel__comp(c_SetInterval_OlessThan(X7,tc_prod(X3,X6)),X4,X3,X6,X2),tc_prod(X2,X6))
| ~ c_less(c_Pair(X1,X5,X3,X6),X7,tc_prod(X3,X6))
| ~ class_Orderings_Oord(tc_prod(X3,X6)) )
| ~ spl0_451
| ~ spl0_611 ),
inference(resolution,[],[f5071,f3686]) ).
fof(f3686,plain,
( ! [X50,X1,X16] :
( c_in(X50,c_SetInterval_OlessThan(X16,X1),X1)
| ~ c_less(X50,X16,X1)
| ~ class_Orderings_Oord(X1) )
| ~ spl0_451 ),
inference(avatar_component_clause,[],[f3685]) ).
fof(f28869,plain,
( spl0_1146
| ~ spl0_445
| ~ spl0_611 ),
inference(avatar_split_clause,[],[f5096,f5070,f3661,f28867]) ).
fof(f28867,plain,
( spl0_1146
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
| c_in(c_Pair(X0,X5,X2,X6),c_Relation_Orel__comp(c_SetInterval_OatMost(X7,tc_prod(X3,X6)),X4,X3,X6,X2),tc_prod(X2,X6))
| ~ c_lessequals(c_Pair(X1,X5,X3,X6),X7,tc_prod(X3,X6))
| ~ class_Orderings_Oord(tc_prod(X3,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1146])]) ).
fof(f3661,plain,
( spl0_445
<=> ! [X50,X16,X1] :
( ~ class_Orderings_Oord(X1)
| ~ c_lessequals(X50,X16,X1)
| c_in(X50,c_SetInterval_OatMost(X16,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_445])]) ).
fof(f5096,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
| c_in(c_Pair(X0,X5,X2,X6),c_Relation_Orel__comp(c_SetInterval_OatMost(X7,tc_prod(X3,X6)),X4,X3,X6,X2),tc_prod(X2,X6))
| ~ c_lessequals(c_Pair(X1,X5,X3,X6),X7,tc_prod(X3,X6))
| ~ class_Orderings_Oord(tc_prod(X3,X6)) )
| ~ spl0_445
| ~ spl0_611 ),
inference(resolution,[],[f5071,f3662]) ).
fof(f3662,plain,
( ! [X50,X1,X16] :
( c_in(X50,c_SetInterval_OatMost(X16,X1),X1)
| ~ c_lessequals(X50,X16,X1)
| ~ class_Orderings_Oord(X1) )
| ~ spl0_445 ),
inference(avatar_component_clause,[],[f3661]) ).
fof(f28865,plain,
( spl0_1145
| ~ spl0_581
| ~ spl0_608 ),
inference(avatar_split_clause,[],[f5059,f5054,f4702,f28863]) ).
fof(f28863,plain,
( spl0_1145
<=> ! [X4,X0,X3,X2,X1] :
( c_in(c_Pair(c_Main_Olistrel__Cons2__1(X0,c_Main_OImageE__1(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olistrel(X0,X4),tc_List_Olist(X4),tc_List_Olist(X4)),X2,X3,X4),X2,X4,X4),X0,tc_prod(X4,X4))
| ~ c_in(c_List_Olist_OCons(X2,X3,X4),c_Relation_OImage(c_List_Olistrel(X0,X4),X1,tc_List_Olist(X4),tc_List_Olist(X4)),tc_List_Olist(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1145])]) ).
fof(f5059,plain,
( ! [X2,X3,X0,X1,X4] :
( c_in(c_Pair(c_Main_Olistrel__Cons2__1(X0,c_Main_OImageE__1(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olistrel(X0,X4),tc_List_Olist(X4),tc_List_Olist(X4)),X2,X3,X4),X2,X4,X4),X0,tc_prod(X4,X4))
| ~ c_in(c_List_Olist_OCons(X2,X3,X4),c_Relation_OImage(c_List_Olistrel(X0,X4),X1,tc_List_Olist(X4),tc_List_Olist(X4)),tc_List_Olist(X4)) )
| ~ spl0_581
| ~ spl0_608 ),
inference(resolution,[],[f5055,f4703]) ).
fof(f28861,plain,
( spl0_1144
| ~ spl0_593
| ~ spl0_596 ),
inference(avatar_split_clause,[],[f4906,f4903,f4879,f28859]) ).
fof(f28859,plain,
( spl0_1144
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ c_in(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ c_in(X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_Datatype__Universe_OScons(X0,X4,X2,X3) = c_Datatype__Universe_OScons(c_Main_OuprodE__1(X1,X5,c_Datatype__Universe_OScons(X0,X4,X2,X3),X2,X3),c_Main_OuprodE__2(X1,X5,c_Datatype__Universe_OScons(X0,X4,X2,X3),X2,X3),X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1144])]) ).
fof(f4903,plain,
( spl0_596
<=> ! [X9,X13,X7,X12,X2,X1] :
( ~ c_in(X7,X13,tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| ~ c_in(X9,X12,tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| c_in(c_Datatype__Universe_OScons(X9,X7,X1,X2),c_Datatype__Universe_Ouprod(X12,X13,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_596])]) ).
fof(f4906,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ c_in(X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_Datatype__Universe_OScons(X0,X4,X2,X3) = c_Datatype__Universe_OScons(c_Main_OuprodE__1(X1,X5,c_Datatype__Universe_OScons(X0,X4,X2,X3),X2,X3),c_Main_OuprodE__2(X1,X5,c_Datatype__Universe_OScons(X0,X4,X2,X3),X2,X3),X2,X3) )
| ~ spl0_593
| ~ spl0_596 ),
inference(resolution,[],[f4904,f4880]) ).
fof(f4904,plain,
( ! [X2,X1,X9,X7,X12,X13] :
( c_in(c_Datatype__Universe_OScons(X9,X7,X1,X2),c_Datatype__Universe_Ouprod(X12,X13,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| ~ c_in(X9,X12,tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| ~ c_in(X7,X13,tc_set(tc_Datatype__Universe_Onode(X1,X2))) )
| ~ spl0_596 ),
inference(avatar_component_clause,[],[f4903]) ).
fof(f28857,plain,
( spl0_1143
| ~ spl0_447
| ~ spl0_590 ),
inference(avatar_split_clause,[],[f4871,f4831,f3669,f28855]) ).
fof(f28855,plain,
( spl0_1143
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_Oconverse(c_SetInterval_OgreaterThan(X1,tc_prod(X2,X3)),X2,X3),tc_prod(X3,X2))
| c_less(X1,c_Pair(c_Main_OconverseE__1(c_SetInterval_OgreaterThan(X1,tc_prod(X2,X3)),X0,X2,X3),c_Main_OconverseE__2(c_SetInterval_OgreaterThan(X1,tc_prod(X2,X3)),X0,X2,X3),X2,X3),tc_prod(X2,X3))
| ~ class_Orderings_Oord(tc_prod(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1143])]) ).
fof(f4871,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Relation_Oconverse(c_SetInterval_OgreaterThan(X1,tc_prod(X2,X3)),X2,X3),tc_prod(X3,X2))
| c_less(X1,c_Pair(c_Main_OconverseE__1(c_SetInterval_OgreaterThan(X1,tc_prod(X2,X3)),X0,X2,X3),c_Main_OconverseE__2(c_SetInterval_OgreaterThan(X1,tc_prod(X2,X3)),X0,X2,X3),X2,X3),tc_prod(X2,X3))
| ~ class_Orderings_Oord(tc_prod(X2,X3)) )
| ~ spl0_447
| ~ spl0_590 ),
inference(resolution,[],[f4832,f3670]) ).
fof(f28853,plain,
( spl0_1142
| ~ spl0_441
| ~ spl0_590 ),
inference(avatar_split_clause,[],[f4870,f4831,f3645,f28851]) ).
fof(f28851,plain,
( spl0_1142
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_Oconverse(c_SetInterval_OatLeast(X1,tc_prod(X2,X3)),X2,X3),tc_prod(X3,X2))
| c_lessequals(X1,c_Pair(c_Main_OconverseE__1(c_SetInterval_OatLeast(X1,tc_prod(X2,X3)),X0,X2,X3),c_Main_OconverseE__2(c_SetInterval_OatLeast(X1,tc_prod(X2,X3)),X0,X2,X3),X2,X3),tc_prod(X2,X3))
| ~ class_Orderings_Oord(tc_prod(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1142])]) ).
fof(f4870,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Relation_Oconverse(c_SetInterval_OatLeast(X1,tc_prod(X2,X3)),X2,X3),tc_prod(X3,X2))
| c_lessequals(X1,c_Pair(c_Main_OconverseE__1(c_SetInterval_OatLeast(X1,tc_prod(X2,X3)),X0,X2,X3),c_Main_OconverseE__2(c_SetInterval_OatLeast(X1,tc_prod(X2,X3)),X0,X2,X3),X2,X3),tc_prod(X2,X3))
| ~ class_Orderings_Oord(tc_prod(X2,X3)) )
| ~ spl0_441
| ~ spl0_590 ),
inference(resolution,[],[f4832,f3646]) ).
fof(f28849,plain,
( spl0_1141
| ~ spl0_450
| ~ spl0_590 ),
inference(avatar_split_clause,[],[f4864,f4831,f3681,f28847]) ).
fof(f28847,plain,
( spl0_1141
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_Oconverse(c_SetInterval_OlessThan(X1,tc_prod(X2,X3)),X2,X3),tc_prod(X3,X2))
| c_less(c_Pair(c_Main_OconverseE__1(c_SetInterval_OlessThan(X1,tc_prod(X2,X3)),X0,X2,X3),c_Main_OconverseE__2(c_SetInterval_OlessThan(X1,tc_prod(X2,X3)),X0,X2,X3),X2,X3),X1,tc_prod(X2,X3))
| ~ class_Orderings_Oord(tc_prod(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1141])]) ).
fof(f4864,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Relation_Oconverse(c_SetInterval_OlessThan(X1,tc_prod(X2,X3)),X2,X3),tc_prod(X3,X2))
| c_less(c_Pair(c_Main_OconverseE__1(c_SetInterval_OlessThan(X1,tc_prod(X2,X3)),X0,X2,X3),c_Main_OconverseE__2(c_SetInterval_OlessThan(X1,tc_prod(X2,X3)),X0,X2,X3),X2,X3),X1,tc_prod(X2,X3))
| ~ class_Orderings_Oord(tc_prod(X2,X3)) )
| ~ spl0_450
| ~ spl0_590 ),
inference(resolution,[],[f4832,f3682]) ).
fof(f28845,plain,
( spl0_1140
| ~ spl0_444
| ~ spl0_590 ),
inference(avatar_split_clause,[],[f4863,f4831,f3657,f28843]) ).
fof(f28843,plain,
( spl0_1140
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_Oconverse(c_SetInterval_OatMost(X1,tc_prod(X2,X3)),X2,X3),tc_prod(X3,X2))
| c_lessequals(c_Pair(c_Main_OconverseE__1(c_SetInterval_OatMost(X1,tc_prod(X2,X3)),X0,X2,X3),c_Main_OconverseE__2(c_SetInterval_OatMost(X1,tc_prod(X2,X3)),X0,X2,X3),X2,X3),X1,tc_prod(X2,X3))
| ~ class_Orderings_Oord(tc_prod(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1140])]) ).
fof(f4863,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Relation_Oconverse(c_SetInterval_OatMost(X1,tc_prod(X2,X3)),X2,X3),tc_prod(X3,X2))
| c_lessequals(c_Pair(c_Main_OconverseE__1(c_SetInterval_OatMost(X1,tc_prod(X2,X3)),X0,X2,X3),c_Main_OconverseE__2(c_SetInterval_OatMost(X1,tc_prod(X2,X3)),X0,X2,X3),X2,X3),X1,tc_prod(X2,X3))
| ~ class_Orderings_Oord(tc_prod(X2,X3)) )
| ~ spl0_444
| ~ spl0_590 ),
inference(resolution,[],[f4832,f3658]) ).
fof(f28841,plain,
( spl0_1139
| ~ spl0_429
| ~ spl0_571 ),
inference(avatar_split_clause,[],[f4643,f4561,f3596,f28839]) ).
fof(f28839,plain,
( spl0_1139
<=> ! [X2,X0,X1] :
( c_Main_OsubsetI__1(c_Relation_Odiag(X0,X1),X2,tc_prod(X1,X1)) = c_Pair(c_Main_OdiagE__1(X0,c_Main_OsubsetI__1(c_Relation_Odiag(X0,X1),X2,tc_prod(X1,X1)),X1),c_Main_OdiagE__1(X0,c_Main_OsubsetI__1(c_Relation_Odiag(X0,X1),X2,tc_prod(X1,X1)),X1),X1,X1)
| c_lessequals(c_Relation_Odiag(X0,X1),X2,tc_set(tc_prod(X1,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1139])]) ).
fof(f4643,plain,
( ! [X2,X0,X1] :
( c_Main_OsubsetI__1(c_Relation_Odiag(X0,X1),X2,tc_prod(X1,X1)) = c_Pair(c_Main_OdiagE__1(X0,c_Main_OsubsetI__1(c_Relation_Odiag(X0,X1),X2,tc_prod(X1,X1)),X1),c_Main_OdiagE__1(X0,c_Main_OsubsetI__1(c_Relation_Odiag(X0,X1),X2,tc_prod(X1,X1)),X1),X1,X1)
| c_lessequals(c_Relation_Odiag(X0,X1),X2,tc_set(tc_prod(X1,X1))) )
| ~ spl0_429
| ~ spl0_571 ),
inference(resolution,[],[f4562,f3597]) ).
fof(f28826,plain,
( spl0_1138
| ~ spl0_515
| ~ spl0_564 ),
inference(avatar_split_clause,[],[f4536,f4512,f4097,f28824]) ).
fof(f28824,plain,
( spl0_1138
<=> ! [X2,X0,X1] :
( c_in(c_Union(c_union(X0,X1,tc_set(X2)),X2),c_Finite__Set_OFinites,tc_set(X2))
| ~ c_in(c_union(X0,X1,tc_set(X2)),c_Finite__Set_OFinites,tc_set(tc_set(X2)))
| c_in(c_Main_Ofinite__Union__1(c_union(X0,X1,tc_set(X2)),X2),X1,tc_set(X2))
| c_in(c_Main_Ofinite__Union__1(c_union(X0,X1,tc_set(X2)),X2),X0,tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1138])]) ).
fof(f4536,plain,
( ! [X2,X0,X1] :
( c_in(c_Union(c_union(X0,X1,tc_set(X2)),X2),c_Finite__Set_OFinites,tc_set(X2))
| ~ c_in(c_union(X0,X1,tc_set(X2)),c_Finite__Set_OFinites,tc_set(tc_set(X2)))
| c_in(c_Main_Ofinite__Union__1(c_union(X0,X1,tc_set(X2)),X2),X1,tc_set(X2))
| c_in(c_Main_Ofinite__Union__1(c_union(X0,X1,tc_set(X2)),X2),X0,tc_set(X2)) )
| ~ spl0_515
| ~ spl0_564 ),
inference(resolution,[],[f4513,f4098]) ).
fof(f28065,plain,
( spl0_1137
| ~ spl0_690
| ~ spl0_1090 ),
inference(avatar_split_clause,[],[f24868,f24544,f6209,f28063]) ).
fof(f28063,plain,
( spl0_1137
<=> ! [X0] : c_lessequals(X0,c_Message_Oparts(c_Message_Osynth(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg))),tc_set(tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1137])]) ).
fof(f24544,plain,
( spl0_1090
<=> ! [X0] : c_in(X0,c_Message_Osynth(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1090])]) ).
fof(f24868,plain,
( ! [X0] : c_lessequals(X0,c_Message_Oparts(c_Message_Osynth(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg))),tc_set(tc_Message_Omsg))
| ~ spl0_690
| ~ spl0_1090 ),
inference(resolution,[],[f24545,f6210]) ).
fof(f24545,plain,
( ! [X0] : c_in(X0,c_Message_Osynth(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)),tc_Message_Omsg)
| ~ spl0_1090 ),
inference(avatar_component_clause,[],[f24544]) ).
fof(f27657,plain,
( spl0_1136
| ~ spl0_577
| ~ spl0_613 ),
inference(avatar_split_clause,[],[f5128,f5112,f4660,f27655]) ).
fof(f27655,plain,
( spl0_1136
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ c_in(c_Pair(X0,c_List_Olist_OCons(X1,X2,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olistrel(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))
| c_in(X2,c_Relation_OImage(c_List_Olistrel(X4,X3),X5,tc_List_Olist(X3),tc_List_Olist(X3)),tc_List_Olist(X3))
| ~ c_in(c_Main_Olistrel__Cons2__2(X4,X0,X1,X2,X3),X5,tc_List_Olist(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1136])]) ).
fof(f5128,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(c_Pair(X0,c_List_Olist_OCons(X1,X2,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olistrel(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))
| c_in(X2,c_Relation_OImage(c_List_Olistrel(X4,X3),X5,tc_List_Olist(X3),tc_List_Olist(X3)),tc_List_Olist(X3))
| ~ c_in(c_Main_Olistrel__Cons2__2(X4,X0,X1,X2,X3),X5,tc_List_Olist(X3)) )
| ~ spl0_577
| ~ spl0_613 ),
inference(resolution,[],[f5113,f4661]) ).
fof(f27653,plain,
( spl0_1135
| ~ spl0_577
| ~ spl0_612 ),
inference(avatar_split_clause,[],[f5121,f5108,f4660,f27651]) ).
fof(f27651,plain,
( spl0_1135
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),X3,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X4,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
| c_in(c_Main_Olistrel__Cons1__2(X4,X3,X0,X1,X2),c_Relation_OImage(c_List_Olistrel(X4,X2),X5,tc_List_Olist(X2),tc_List_Olist(X2)),tc_List_Olist(X2))
| ~ c_in(X1,X5,tc_List_Olist(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1135])]) ).
fof(f5121,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),X3,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X4,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
| c_in(c_Main_Olistrel__Cons1__2(X4,X3,X0,X1,X2),c_Relation_OImage(c_List_Olistrel(X4,X2),X5,tc_List_Olist(X2),tc_List_Olist(X2)),tc_List_Olist(X2))
| ~ c_in(X1,X5,tc_List_Olist(X2)) )
| ~ spl0_577
| ~ spl0_612 ),
inference(resolution,[],[f5109,f4661]) ).
fof(f27649,plain,
( spl0_1134
| ~ spl0_590
| ~ spl0_611 ),
inference(avatar_split_clause,[],[f5087,f5070,f4831,f27647]) ).
fof(f27647,plain,
( spl0_1134
<=> ! [X5,X4,X2,X0,X6,X3,X1] :
( ~ c_in(c_Pair(X0,c_Main_OconverseE__1(X1,X2,X3,X4),X5,X3),X6,tc_prod(X5,X3))
| c_in(c_Pair(X0,c_Main_OconverseE__2(X1,X2,X3,X4),X5,X4),c_Relation_Orel__comp(X1,X6,X3,X4,X5),tc_prod(X5,X4))
| ~ c_in(X2,c_Relation_Oconverse(X1,X3,X4),tc_prod(X4,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1134])]) ).
fof(f5087,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_in(c_Pair(X0,c_Main_OconverseE__1(X1,X2,X3,X4),X5,X3),X6,tc_prod(X5,X3))
| c_in(c_Pair(X0,c_Main_OconverseE__2(X1,X2,X3,X4),X5,X4),c_Relation_Orel__comp(X1,X6,X3,X4,X5),tc_prod(X5,X4))
| ~ c_in(X2,c_Relation_Oconverse(X1,X3,X4),tc_prod(X4,X3)) )
| ~ spl0_590
| ~ spl0_611 ),
inference(resolution,[],[f5071,f4832]) ).
fof(f27645,plain,
( spl0_1133
| ~ spl0_591
| ~ spl0_611 ),
inference(avatar_split_clause,[],[f5083,f5070,f4835,f27643]) ).
fof(f27643,plain,
( spl0_1133
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
| c_in(c_Pair(X0,X5,X2,X3),c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(X6,X3),X4,X3,X3,X2),tc_prod(X2,X3))
| c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X5,X1,X3,X3),X6,tc_prod(X3,X3)),X3)
| ~ c_Wellfounded__Recursion_Oacyclic(X6,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1133])]) ).
fof(f4835,plain,
( spl0_591
<=> ! [X3,X0,X5,X1] :
( ~ c_Wellfounded__Recursion_Oacyclic(X5,X1)
| c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X3,X0,X1,X1),X5,tc_prod(X1,X1)),X1)
| c_in(c_Pair(X0,X3,X1,X1),c_Transitive__Closure_Ortrancl(X5,X1),tc_prod(X1,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_591])]) ).
fof(f5083,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
| c_in(c_Pair(X0,X5,X2,X3),c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(X6,X3),X4,X3,X3,X2),tc_prod(X2,X3))
| c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X5,X1,X3,X3),X6,tc_prod(X3,X3)),X3)
| ~ c_Wellfounded__Recursion_Oacyclic(X6,X3) )
| ~ spl0_591
| ~ spl0_611 ),
inference(resolution,[],[f5071,f4836]) ).
fof(f4836,plain,
( ! [X3,X0,X1,X5] :
( c_in(c_Pair(X0,X3,X1,X1),c_Transitive__Closure_Ortrancl(X5,X1),tc_prod(X1,X1))
| c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X3,X0,X1,X1),X5,tc_prod(X1,X1)),X1)
| ~ c_Wellfounded__Recursion_Oacyclic(X5,X1) )
| ~ spl0_591 ),
inference(avatar_component_clause,[],[f4835]) ).
fof(f27641,plain,
( spl0_1132
| ~ spl0_592
| ~ spl0_611 ),
inference(avatar_split_clause,[],[f5082,f5070,f4840,f27639]) ).
fof(f27639,plain,
( spl0_1132
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
| c_in(c_Pair(X0,X5,X2,X3),c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(X6,X3),X4,X3,X3,X2),tc_prod(X2,X3))
| c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X5,X1,X3,X3),X6,tc_prod(X3,X3)),X3)
| ~ c_Wellfounded__Recursion_Owf(X6,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1132])]) ).
fof(f4840,plain,
( spl0_592
<=> ! [X3,X0,X5,X1] :
( ~ c_Wellfounded__Recursion_Owf(X5,X1)
| c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X3,X0,X1,X1),X5,tc_prod(X1,X1)),X1)
| c_in(c_Pair(X0,X3,X1,X1),c_Transitive__Closure_Ortrancl(X5,X1),tc_prod(X1,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_592])]) ).
fof(f5082,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
| c_in(c_Pair(X0,X5,X2,X3),c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(X6,X3),X4,X3,X3,X2),tc_prod(X2,X3))
| c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X5,X1,X3,X3),X6,tc_prod(X3,X3)),X3)
| ~ c_Wellfounded__Recursion_Owf(X6,X3) )
| ~ spl0_592
| ~ spl0_611 ),
inference(resolution,[],[f5071,f4841]) ).
fof(f4841,plain,
( ! [X3,X0,X1,X5] :
( c_in(c_Pair(X0,X3,X1,X1),c_Transitive__Closure_Ortrancl(X5,X1),tc_prod(X1,X1))
| c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X3,X0,X1,X1),X5,tc_prod(X1,X1)),X1)
| ~ c_Wellfounded__Recursion_Owf(X5,X1) )
| ~ spl0_592 ),
inference(avatar_component_clause,[],[f4840]) ).
fof(f27637,plain,
( spl0_1131
| ~ spl0_582
| ~ spl0_606 ),
inference(avatar_split_clause,[],[f5023,f4978,f4706,f27635]) ).
fof(f27635,plain,
( spl0_1131
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ c_in(X0,c_Relation_Orel__comp(X1,c_Relation_Oconverse(X2,X3,X4),X3,X5,X4),tc_prod(X4,X5))
| c_in(c_Pair(c_Main_Orel__compE__2(X1,c_Relation_Oconverse(X2,X3,X4),X0,X3,X5,X4),c_Main_Orel__compE__1(X1,c_Relation_Oconverse(X2,X3,X4),X0,X3,X5,X4),X3,X4),X2,tc_prod(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1131])]) ).
fof(f5023,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Relation_Orel__comp(X1,c_Relation_Oconverse(X2,X3,X4),X3,X5,X4),tc_prod(X4,X5))
| c_in(c_Pair(c_Main_Orel__compE__2(X1,c_Relation_Oconverse(X2,X3,X4),X0,X3,X5,X4),c_Main_Orel__compE__1(X1,c_Relation_Oconverse(X2,X3,X4),X0,X3,X5,X4),X3,X4),X2,tc_prod(X3,X4)) )
| ~ spl0_582
| ~ spl0_606 ),
inference(resolution,[],[f4979,f4707]) ).
fof(f27633,plain,
( spl0_1130
| ~ spl0_582
| ~ spl0_605 ),
inference(avatar_split_clause,[],[f4993,f4974,f4706,f27631]) ).
fof(f27631,plain,
( spl0_1130
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ c_in(X0,c_Relation_Orel__comp(c_Relation_Oconverse(X1,X2,X3),X4,X3,X2,X5),tc_prod(X5,X2))
| c_in(c_Pair(c_Main_Orel__compE__3(c_Relation_Oconverse(X1,X2,X3),X4,X0,X3,X2,X5),c_Main_Orel__compE__2(c_Relation_Oconverse(X1,X2,X3),X4,X0,X3,X2,X5),X2,X3),X1,tc_prod(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1130])]) ).
fof(f4993,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Relation_Orel__comp(c_Relation_Oconverse(X1,X2,X3),X4,X3,X2,X5),tc_prod(X5,X2))
| c_in(c_Pair(c_Main_Orel__compE__3(c_Relation_Oconverse(X1,X2,X3),X4,X0,X3,X2,X5),c_Main_Orel__compE__2(c_Relation_Oconverse(X1,X2,X3),X4,X0,X3,X2,X5),X2,X3),X1,tc_prod(X2,X3)) )
| ~ spl0_582
| ~ spl0_605 ),
inference(resolution,[],[f4975,f4707]) ).
fof(f27629,plain,
( spl0_1129
| ~ spl0_689
| ~ spl0_1090 ),
inference(avatar_split_clause,[],[f24867,f24544,f6205,f27627]) ).
fof(f27627,plain,
( spl0_1129
<=> ! [X0] : c_lessequals(X0,c_Message_Oanalz(c_Message_Osynth(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg))),tc_set(tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1129])]) ).
fof(f24867,plain,
( ! [X0] : c_lessequals(X0,c_Message_Oanalz(c_Message_Osynth(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg))),tc_set(tc_Message_Omsg))
| ~ spl0_689
| ~ spl0_1090 ),
inference(resolution,[],[f24545,f6206]) ).
fof(f27625,plain,
( spl0_1128
| ~ spl0_410
| ~ spl0_590 ),
inference(avatar_split_clause,[],[f4856,f4831,f3501,f27623]) ).
fof(f27623,plain,
( spl0_1128
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_Oconverse(c_uminus(X1,tc_set(tc_prod(X2,X3))),X2,X3),tc_prod(X3,X2))
| ~ c_in(c_Pair(c_Main_OconverseE__1(c_uminus(X1,tc_set(tc_prod(X2,X3))),X0,X2,X3),c_Main_OconverseE__2(c_uminus(X1,tc_set(tc_prod(X2,X3))),X0,X2,X3),X2,X3),X1,tc_prod(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1128])]) ).
fof(f4856,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Relation_Oconverse(c_uminus(X1,tc_set(tc_prod(X2,X3))),X2,X3),tc_prod(X3,X2))
| ~ c_in(c_Pair(c_Main_OconverseE__1(c_uminus(X1,tc_set(tc_prod(X2,X3))),X0,X2,X3),c_Main_OconverseE__2(c_uminus(X1,tc_set(tc_prod(X2,X3))),X0,X2,X3),X2,X3),X1,tc_prod(X2,X3)) )
| ~ spl0_410
| ~ spl0_590 ),
inference(resolution,[],[f4832,f3502]) ).
fof(f27621,plain,
( spl0_1127
| ~ spl0_413
| ~ spl0_590 ),
inference(avatar_split_clause,[],[f4854,f4831,f3513,f27619]) ).
fof(f27619,plain,
( spl0_1127
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_Oconverse(c_inter(X1,X2,tc_prod(X3,X4)),X3,X4),tc_prod(X4,X3))
| c_in(c_Pair(c_Main_OconverseE__1(c_inter(X1,X2,tc_prod(X3,X4)),X0,X3,X4),c_Main_OconverseE__2(c_inter(X1,X2,tc_prod(X3,X4)),X0,X3,X4),X3,X4),X2,tc_prod(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1127])]) ).
fof(f4854,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Relation_Oconverse(c_inter(X1,X2,tc_prod(X3,X4)),X3,X4),tc_prod(X4,X3))
| c_in(c_Pair(c_Main_OconverseE__1(c_inter(X1,X2,tc_prod(X3,X4)),X0,X3,X4),c_Main_OconverseE__2(c_inter(X1,X2,tc_prod(X3,X4)),X0,X3,X4),X3,X4),X2,tc_prod(X3,X4)) )
| ~ spl0_413
| ~ spl0_590 ),
inference(resolution,[],[f4832,f3514]) ).
fof(f27617,plain,
( spl0_1126
| ~ spl0_414
| ~ spl0_590 ),
inference(avatar_split_clause,[],[f4853,f4831,f3517,f27615]) ).
fof(f27615,plain,
( spl0_1126
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_Oconverse(c_inter(X1,X2,tc_prod(X3,X4)),X3,X4),tc_prod(X4,X3))
| c_in(c_Pair(c_Main_OconverseE__1(c_inter(X1,X2,tc_prod(X3,X4)),X0,X3,X4),c_Main_OconverseE__2(c_inter(X1,X2,tc_prod(X3,X4)),X0,X3,X4),X3,X4),X1,tc_prod(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1126])]) ).
fof(f4853,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Relation_Oconverse(c_inter(X1,X2,tc_prod(X3,X4)),X3,X4),tc_prod(X4,X3))
| c_in(c_Pair(c_Main_OconverseE__1(c_inter(X1,X2,tc_prod(X3,X4)),X0,X3,X4),c_Main_OconverseE__2(c_inter(X1,X2,tc_prod(X3,X4)),X0,X3,X4),X3,X4),X1,tc_prod(X3,X4)) )
| ~ spl0_414
| ~ spl0_590 ),
inference(resolution,[],[f4832,f3518]) ).
fof(f27613,plain,
( spl0_1125
| ~ spl0_535
| ~ spl0_580 ),
inference(avatar_split_clause,[],[f4742,f4698,f4293,f27611]) ).
fof(f27611,plain,
( spl0_1125
<=> ! [X5,X4,X2,X0,X6,X3,X1] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(c_Relation_OImage(X1,X2,X3,tc_set(tc_Datatype__Universe_Onode(X4,X5))),X6,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)))
| c_in(c_Main_OImageE__1(X2,c_Main_OuprodE__1(c_Relation_OImage(X1,X2,X3,tc_set(tc_Datatype__Universe_Onode(X4,X5))),X6,X0,X4,X5),X1,X3,tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1125])]) ).
fof(f4742,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(c_Relation_OImage(X1,X2,X3,tc_set(tc_Datatype__Universe_Onode(X4,X5))),X6,X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)))
| c_in(c_Main_OImageE__1(X2,c_Main_OuprodE__1(c_Relation_OImage(X1,X2,X3,tc_set(tc_Datatype__Universe_Onode(X4,X5))),X6,X0,X4,X5),X1,X3,tc_set(tc_Datatype__Universe_Onode(X4,X5))),X2,X3) )
| ~ spl0_535
| ~ spl0_580 ),
inference(resolution,[],[f4699,f4294]) ).
fof(f27609,plain,
( spl0_1124
| ~ spl0_535
| ~ spl0_579 ),
inference(avatar_split_clause,[],[f4722,f4694,f4293,f27607]) ).
fof(f27607,plain,
( spl0_1124
<=> ! [X5,X4,X2,X0,X6,X3,X1] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(X1,c_Relation_OImage(X2,X3,X4,tc_set(tc_Datatype__Universe_Onode(X5,X6))),X5,X6),tc_set(tc_Datatype__Universe_Onode(X5,X6)))
| c_in(c_Main_OImageE__1(X3,c_Main_OuprodE__2(X1,c_Relation_OImage(X2,X3,X4,tc_set(tc_Datatype__Universe_Onode(X5,X6))),X0,X5,X6),X2,X4,tc_set(tc_Datatype__Universe_Onode(X5,X6))),X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1124])]) ).
fof(f4722,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(X1,c_Relation_OImage(X2,X3,X4,tc_set(tc_Datatype__Universe_Onode(X5,X6))),X5,X6),tc_set(tc_Datatype__Universe_Onode(X5,X6)))
| c_in(c_Main_OImageE__1(X3,c_Main_OuprodE__2(X1,c_Relation_OImage(X2,X3,X4,tc_set(tc_Datatype__Universe_Onode(X5,X6))),X0,X5,X6),X2,X4,tc_set(tc_Datatype__Universe_Onode(X5,X6))),X3,X4) )
| ~ spl0_535
| ~ spl0_579 ),
inference(resolution,[],[f4695,f4294]) ).
fof(f27604,plain,
( spl0_1123
| ~ spl0_534
| ~ spl0_570 ),
inference(avatar_split_clause,[],[f4628,f4557,f4289,f27602]) ).
fof(f27602,plain,
( spl0_1123
<=> ! [X0,X1] :
( ~ c_in(X0,c_Relation_ORange(c_Relation_OId,X1,X1),X1)
| c_Pair(c_Main_ORangeE__1(X0,c_Relation_OId,X1,X1),X0,X1,X1) = c_Pair(c_Main_OIdE__1(c_Pair(c_Main_ORangeE__1(X0,c_Relation_OId,X1,X1),X0,X1,X1),X1),c_Main_OIdE__1(c_Pair(c_Main_ORangeE__1(X0,c_Relation_OId,X1,X1),X0,X1,X1),X1),X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1123])]) ).
fof(f4628,plain,
( ! [X0,X1] :
( ~ c_in(X0,c_Relation_ORange(c_Relation_OId,X1,X1),X1)
| c_Pair(c_Main_ORangeE__1(X0,c_Relation_OId,X1,X1),X0,X1,X1) = c_Pair(c_Main_OIdE__1(c_Pair(c_Main_ORangeE__1(X0,c_Relation_OId,X1,X1),X0,X1,X1),X1),c_Main_OIdE__1(c_Pair(c_Main_ORangeE__1(X0,c_Relation_OId,X1,X1),X0,X1,X1),X1),X1,X1) )
| ~ spl0_534
| ~ spl0_570 ),
inference(resolution,[],[f4558,f4290]) ).
fof(f27599,plain,
( spl0_1122
| ~ spl0_534
| ~ spl0_569 ),
inference(avatar_split_clause,[],[f4603,f4553,f4289,f27597]) ).
fof(f27597,plain,
( spl0_1122
<=> ! [X0,X1] :
( ~ c_in(X0,c_Relation_ODomain(c_Relation_OId,X1,X1),X1)
| c_Pair(X0,c_Main_ODomainE__1(X0,c_Relation_OId,X1,X1),X1,X1) = c_Pair(c_Main_OIdE__1(c_Pair(X0,c_Main_ODomainE__1(X0,c_Relation_OId,X1,X1),X1,X1),X1),c_Main_OIdE__1(c_Pair(X0,c_Main_ODomainE__1(X0,c_Relation_OId,X1,X1),X1,X1),X1),X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1122])]) ).
fof(f4603,plain,
( ! [X0,X1] :
( ~ c_in(X0,c_Relation_ODomain(c_Relation_OId,X1,X1),X1)
| c_Pair(X0,c_Main_ODomainE__1(X0,c_Relation_OId,X1,X1),X1,X1) = c_Pair(c_Main_OIdE__1(c_Pair(X0,c_Main_ODomainE__1(X0,c_Relation_OId,X1,X1),X1,X1),X1),c_Main_OIdE__1(c_Pair(X0,c_Main_ODomainE__1(X0,c_Relation_OId,X1,X1),X1,X1),X1),X1,X1) )
| ~ spl0_534
| ~ spl0_569 ),
inference(resolution,[],[f4554,f4290]) ).
fof(f27270,plain,
( spl0_1121
| ~ spl0_688
| ~ spl0_1090 ),
inference(avatar_split_clause,[],[f24866,f24544,f6201,f27268]) ).
fof(f27268,plain,
( spl0_1121
<=> ! [X0] : c_lessequals(X0,c_Message_Osynth(c_Message_Osynth(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg))),tc_set(tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1121])]) ).
fof(f24866,plain,
( ! [X0] : c_lessequals(X0,c_Message_Osynth(c_Message_Osynth(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg))),tc_set(tc_Message_Omsg))
| ~ spl0_688
| ~ spl0_1090 ),
inference(resolution,[],[f24545,f6202]) ).
fof(f26953,plain,
( spl0_1120
| ~ spl0_570
| ~ spl0_608 ),
inference(avatar_split_clause,[],[f5060,f5054,f4557,f26951]) ).
fof(f26951,plain,
( spl0_1120
<=> ! [X0,X3,X2,X1] :
( c_in(c_Pair(c_Main_Olistrel__Cons2__1(X0,c_Main_ORangeE__1(c_List_Olist_OCons(X1,X2,X3),c_List_Olistrel(X0,X3),tc_List_Olist(X3),tc_List_Olist(X3)),X1,X2,X3),X1,X3,X3),X0,tc_prod(X3,X3))
| ~ c_in(c_List_Olist_OCons(X1,X2,X3),c_Relation_ORange(c_List_Olistrel(X0,X3),tc_List_Olist(X3),tc_List_Olist(X3)),tc_List_Olist(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1120])]) ).
fof(f5060,plain,
( ! [X2,X3,X0,X1] :
( c_in(c_Pair(c_Main_Olistrel__Cons2__1(X0,c_Main_ORangeE__1(c_List_Olist_OCons(X1,X2,X3),c_List_Olistrel(X0,X3),tc_List_Olist(X3),tc_List_Olist(X3)),X1,X2,X3),X1,X3,X3),X0,tc_prod(X3,X3))
| ~ c_in(c_List_Olist_OCons(X1,X2,X3),c_Relation_ORange(c_List_Olistrel(X0,X3),tc_List_Olist(X3),tc_List_Olist(X3)),tc_List_Olist(X3)) )
| ~ spl0_570
| ~ spl0_608 ),
inference(resolution,[],[f5055,f4558]) ).
fof(f26949,plain,
( spl0_1119
| ~ spl0_569
| ~ spl0_607 ),
inference(avatar_split_clause,[],[f5058,f5050,f4553,f26947]) ).
fof(f26947,plain,
( spl0_1119
<=> ! [X0,X3,X2,X1] :
( c_in(c_Pair(X0,c_Main_Olistrel__Cons1__1(X1,c_Main_ODomainE__1(c_List_Olist_OCons(X0,X2,X3),c_List_Olistrel(X1,X3),tc_List_Olist(X3),tc_List_Olist(X3)),X0,X2,X3),X3,X3),X1,tc_prod(X3,X3))
| ~ c_in(c_List_Olist_OCons(X0,X2,X3),c_Relation_ODomain(c_List_Olistrel(X1,X3),tc_List_Olist(X3),tc_List_Olist(X3)),tc_List_Olist(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1119])]) ).
fof(f5058,plain,
( ! [X2,X3,X0,X1] :
( c_in(c_Pair(X0,c_Main_Olistrel__Cons1__1(X1,c_Main_ODomainE__1(c_List_Olist_OCons(X0,X2,X3),c_List_Olistrel(X1,X3),tc_List_Olist(X3),tc_List_Olist(X3)),X0,X2,X3),X3,X3),X1,tc_prod(X3,X3))
| ~ c_in(c_List_Olist_OCons(X0,X2,X3),c_Relation_ODomain(c_List_Olistrel(X1,X3),tc_List_Olist(X3),tc_List_Olist(X3)),tc_List_Olist(X3)) )
| ~ spl0_569
| ~ spl0_607 ),
inference(resolution,[],[f5051,f4554]) ).
fof(f26945,plain,
( spl0_1118
| ~ spl0_585
| ~ spl0_606 ),
inference(avatar_split_clause,[],[f5024,f4978,f4794,f26943]) ).
fof(f26943,plain,
( spl0_1118
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_Orel__comp(X1,c_Transitive__Closure_Otrancl(X2,X3),X3,X4,X3),tc_prod(X3,X4))
| c_in(c_Pair(c_Main_Orel__compE__1(X1,c_Transitive__Closure_Otrancl(X2,X3),X0,X3,X4,X3),c_Main_Orel__compE__2(X1,c_Transitive__Closure_Otrancl(X2,X3),X0,X3,X4,X3),X3,X3),c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1118])]) ).
fof(f5024,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Relation_Orel__comp(X1,c_Transitive__Closure_Otrancl(X2,X3),X3,X4,X3),tc_prod(X3,X4))
| c_in(c_Pair(c_Main_Orel__compE__1(X1,c_Transitive__Closure_Otrancl(X2,X3),X0,X3,X4,X3),c_Main_Orel__compE__2(X1,c_Transitive__Closure_Otrancl(X2,X3),X0,X3,X4,X3),X3,X3),c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3)) )
| ~ spl0_585
| ~ spl0_606 ),
inference(resolution,[],[f4979,f4795]) ).
fof(f26941,plain,
( spl0_1117
| ~ spl0_585
| ~ spl0_605 ),
inference(avatar_split_clause,[],[f4994,f4974,f4794,f26939]) ).
fof(f26939,plain,
( spl0_1117
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_Orel__comp(c_Transitive__Closure_Otrancl(X1,X2),X3,X2,X2,X4),tc_prod(X4,X2))
| c_in(c_Pair(c_Main_Orel__compE__2(c_Transitive__Closure_Otrancl(X1,X2),X3,X0,X2,X2,X4),c_Main_Orel__compE__3(c_Transitive__Closure_Otrancl(X1,X2),X3,X0,X2,X2,X4),X2,X2),c_Transitive__Closure_Ortrancl(X1,X2),tc_prod(X2,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1117])]) ).
fof(f4994,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Relation_Orel__comp(c_Transitive__Closure_Otrancl(X1,X2),X3,X2,X2,X4),tc_prod(X4,X2))
| c_in(c_Pair(c_Main_Orel__compE__2(c_Transitive__Closure_Otrancl(X1,X2),X3,X0,X2,X2,X4),c_Main_Orel__compE__3(c_Transitive__Closure_Otrancl(X1,X2),X3,X0,X2,X2,X4),X2,X2),c_Transitive__Closure_Ortrancl(X1,X2),tc_prod(X2,X2)) )
| ~ spl0_585
| ~ spl0_605 ),
inference(resolution,[],[f4975,f4795]) ).
fof(f26937,plain,
( spl0_1116
| ~ spl0_514
| ~ spl0_580 ),
inference(avatar_split_clause,[],[f4746,f4698,f4093,f26935]) ).
fof(f26935,plain,
( spl0_1116
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(c_Inter(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ c_in(X5,X1,tc_set(tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_in(c_Main_OuprodE__1(c_Inter(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X0,X2,X3),X5,tc_set(tc_Datatype__Universe_Onode(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1116])]) ).
fof(f4746,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(c_Inter(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ c_in(X5,X1,tc_set(tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_in(c_Main_OuprodE__1(c_Inter(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X0,X2,X3),X5,tc_set(tc_Datatype__Universe_Onode(X2,X3))) )
| ~ spl0_514
| ~ spl0_580 ),
inference(resolution,[],[f4699,f4094]) ).
fof(f26933,plain,
( spl0_1115
| ~ spl0_514
| ~ spl0_579 ),
inference(avatar_split_clause,[],[f4726,f4694,f4093,f26931]) ).
fof(f26931,plain,
( spl0_1115
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(X1,c_Inter(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ c_in(X5,X2,tc_set(tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_in(c_Main_OuprodE__2(X1,c_Inter(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X0,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1115])]) ).
fof(f4726,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(X1,c_Inter(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ c_in(X5,X2,tc_set(tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_in(c_Main_OuprodE__2(X1,c_Inter(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X0,X3,X4),X5,tc_set(tc_Datatype__Universe_Onode(X3,X4))) )
| ~ spl0_514
| ~ spl0_579 ),
inference(resolution,[],[f4695,f4094]) ).
fof(f26889,plain,
( spl0_1114
| ~ spl0_496
| ~ spl0_564 ),
inference(avatar_split_clause,[],[f4523,f4512,f3967,f26887]) ).
fof(f26887,plain,
( spl0_1114
<=> ! [X2,X0,X1] :
( c_in(c_Union(c_insert(X0,X1,tc_set(X2)),X2),c_Finite__Set_OFinites,tc_set(X2))
| ~ c_in(c_insert(X0,X1,tc_set(X2)),c_Finite__Set_OFinites,tc_set(tc_set(X2)))
| c_in(c_Main_Ofinite__Union__1(c_insert(X0,X1,tc_set(X2)),X2),X1,tc_set(X2))
| c_Main_Ofinite__Union__1(c_insert(X0,X1,tc_set(X2)),X2) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1114])]) ).
fof(f4523,plain,
( ! [X2,X0,X1] :
( c_in(c_Union(c_insert(X0,X1,tc_set(X2)),X2),c_Finite__Set_OFinites,tc_set(X2))
| ~ c_in(c_insert(X0,X1,tc_set(X2)),c_Finite__Set_OFinites,tc_set(tc_set(X2)))
| c_in(c_Main_Ofinite__Union__1(c_insert(X0,X1,tc_set(X2)),X2),X1,tc_set(X2))
| c_Main_Ofinite__Union__1(c_insert(X0,X1,tc_set(X2)),X2) = X0 )
| ~ spl0_496
| ~ spl0_564 ),
inference(resolution,[],[f4513,f3968]) ).
fof(f25841,plain,
( spl0_1113
| ~ spl0_415
| ~ spl0_611 ),
inference(avatar_split_clause,[],[f5105,f5070,f3521,f25839]) ).
fof(f25839,plain,
( spl0_1113
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
| c_in(c_Pair(X0,X5,X2,X6),c_Relation_Orel__comp(c_union(X7,X8,tc_prod(X3,X6)),X4,X3,X6,X2),tc_prod(X2,X6))
| ~ c_in(c_Pair(X1,X5,X3,X6),X8,tc_prod(X3,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1113])]) ).
fof(f3521,plain,
( spl0_415
<=> ! [X4,X13,X12,X1] :
( ~ c_in(X4,X13,X1)
| c_in(X4,c_union(X12,X13,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_415])]) ).
fof(f5105,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
| c_in(c_Pair(X0,X5,X2,X6),c_Relation_Orel__comp(c_union(X7,X8,tc_prod(X3,X6)),X4,X3,X6,X2),tc_prod(X2,X6))
| ~ c_in(c_Pair(X1,X5,X3,X6),X8,tc_prod(X3,X6)) )
| ~ spl0_415
| ~ spl0_611 ),
inference(resolution,[],[f5071,f3522]) ).
fof(f3522,plain,
( ! [X1,X4,X12,X13] :
( c_in(X4,c_union(X12,X13,X1),X1)
| ~ c_in(X4,X13,X1) )
| ~ spl0_415 ),
inference(avatar_component_clause,[],[f3521]) ).
fof(f25837,plain,
( spl0_1112
| ~ spl0_416
| ~ spl0_611 ),
inference(avatar_split_clause,[],[f5104,f5070,f3525,f25835]) ).
fof(f25835,plain,
( spl0_1112
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
| c_in(c_Pair(X0,X5,X2,X6),c_Relation_Orel__comp(c_union(X7,X8,tc_prod(X3,X6)),X4,X3,X6,X2),tc_prod(X2,X6))
| ~ c_in(c_Pair(X1,X5,X3,X6),X7,tc_prod(X3,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1112])]) ).
fof(f3525,plain,
( spl0_416
<=> ! [X4,X13,X12,X1] :
( ~ c_in(X4,X12,X1)
| c_in(X4,c_union(X12,X13,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_416])]) ).
fof(f5104,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
| c_in(c_Pair(X0,X5,X2,X6),c_Relation_Orel__comp(c_union(X7,X8,tc_prod(X3,X6)),X4,X3,X6,X2),tc_prod(X2,X6))
| ~ c_in(c_Pair(X1,X5,X3,X6),X7,tc_prod(X3,X6)) )
| ~ spl0_416
| ~ spl0_611 ),
inference(resolution,[],[f5071,f3526]) ).
fof(f3526,plain,
( ! [X1,X4,X12,X13] :
( c_in(X4,c_union(X12,X13,X1),X1)
| ~ c_in(X4,X12,X1) )
| ~ spl0_416 ),
inference(avatar_component_clause,[],[f3525]) ).
fof(f25833,plain,
( spl0_1111
| ~ spl0_417
| ~ spl0_611 ),
inference(avatar_split_clause,[],[f5101,f5070,f3529,f25831]) ).
fof(f25831,plain,
( spl0_1111
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
| c_in(c_Pair(X0,X5,X2,X6),c_Relation_Orel__comp(c_insert(X7,X8,tc_prod(X3,X6)),X4,X3,X6,X2),tc_prod(X2,X6))
| ~ c_in(c_Pair(X1,X5,X3,X6),X8,tc_prod(X3,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1111])]) ).
fof(f3529,plain,
( spl0_417
<=> ! [X18,X13,X27,X1] :
( ~ c_in(X18,X13,X1)
| c_in(X18,c_insert(X27,X13,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_417])]) ).
fof(f5101,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
| c_in(c_Pair(X0,X5,X2,X6),c_Relation_Orel__comp(c_insert(X7,X8,tc_prod(X3,X6)),X4,X3,X6,X2),tc_prod(X2,X6))
| ~ c_in(c_Pair(X1,X5,X3,X6),X8,tc_prod(X3,X6)) )
| ~ spl0_417
| ~ spl0_611 ),
inference(resolution,[],[f5071,f3530]) ).
fof(f3530,plain,
( ! [X18,X1,X27,X13] :
( c_in(X18,c_insert(X27,X13,X1),X1)
| ~ c_in(X18,X13,X1) )
| ~ spl0_417 ),
inference(avatar_component_clause,[],[f3529]) ).
fof(f25829,plain,
( spl0_1110
| ~ spl0_412
| ~ spl0_611 ),
inference(avatar_split_clause,[],[f5095,f5070,f3509,f25827]) ).
fof(f25827,plain,
( spl0_1110
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
| c_in(c_Pair(X0,X5,X2,X6),c_Relation_Orel__comp(c_uminus(X7,tc_set(tc_prod(X3,X6))),X4,X3,X6,X2),tc_prod(X2,X6))
| c_in(c_Pair(X1,X5,X3,X6),X7,tc_prod(X3,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1110])]) ).
fof(f3509,plain,
( spl0_412
<=> ! [X12,X1,X4] :
( c_in(X4,X12,X1)
| c_in(X4,c_uminus(X12,tc_set(X1)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_412])]) ).
fof(f5095,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
| c_in(c_Pair(X0,X5,X2,X6),c_Relation_Orel__comp(c_uminus(X7,tc_set(tc_prod(X3,X6))),X4,X3,X6,X2),tc_prod(X2,X6))
| c_in(c_Pair(X1,X5,X3,X6),X7,tc_prod(X3,X6)) )
| ~ spl0_412
| ~ spl0_611 ),
inference(resolution,[],[f5071,f3510]) ).
fof(f3510,plain,
( ! [X1,X4,X12] :
( c_in(X4,c_uminus(X12,tc_set(X1)),X1)
| c_in(X4,X12,X1) )
| ~ spl0_412 ),
inference(avatar_component_clause,[],[f3509]) ).
fof(f25825,plain,
( spl0_1109
| ~ spl0_500
| ~ spl0_606 ),
inference(avatar_split_clause,[],[f5038,f4978,f4037,f25823]) ).
fof(f25823,plain,
( spl0_1109
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_Orel__comp(X1,c_Relation_Odiag(X2,X3),X3,X4,X3),tc_prod(X3,X4))
| c_in(c_Main_OdiagE__1(X2,c_Pair(c_Main_Orel__compE__1(X1,c_Relation_Odiag(X2,X3),X0,X3,X4,X3),c_Main_Orel__compE__2(X1,c_Relation_Odiag(X2,X3),X0,X3,X4,X3),X3,X3),X3),X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1109])]) ).
fof(f5038,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Relation_Orel__comp(X1,c_Relation_Odiag(X2,X3),X3,X4,X3),tc_prod(X3,X4))
| c_in(c_Main_OdiagE__1(X2,c_Pair(c_Main_Orel__compE__1(X1,c_Relation_Odiag(X2,X3),X0,X3,X4,X3),c_Main_Orel__compE__2(X1,c_Relation_Odiag(X2,X3),X0,X3,X4,X3),X3,X3),X3),X2,X3) )
| ~ spl0_500
| ~ spl0_606 ),
inference(resolution,[],[f4979,f4038]) ).
fof(f25821,plain,
( spl0_1108
| ~ spl0_500
| ~ spl0_605 ),
inference(avatar_split_clause,[],[f5008,f4974,f4037,f25819]) ).
fof(f25819,plain,
( spl0_1108
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_Orel__comp(c_Relation_Odiag(X1,X2),X3,X2,X2,X4),tc_prod(X4,X2))
| c_in(c_Main_OdiagE__1(X1,c_Pair(c_Main_Orel__compE__2(c_Relation_Odiag(X1,X2),X3,X0,X2,X2,X4),c_Main_Orel__compE__3(c_Relation_Odiag(X1,X2),X3,X0,X2,X2,X4),X2,X2),X2),X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1108])]) ).
fof(f5008,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Relation_Orel__comp(c_Relation_Odiag(X1,X2),X3,X2,X2,X4),tc_prod(X4,X2))
| c_in(c_Main_OdiagE__1(X1,c_Pair(c_Main_Orel__compE__2(c_Relation_Odiag(X1,X2),X3,X0,X2,X2,X4),c_Main_Orel__compE__3(c_Relation_Odiag(X1,X2),X3,X0,X2,X2,X4),X2,X2),X2),X1,X2) )
| ~ spl0_500
| ~ spl0_605 ),
inference(resolution,[],[f4975,f4038]) ).
fof(f25817,plain,
( spl0_1107
| ~ spl0_407
| ~ spl0_590 ),
inference(avatar_split_clause,[],[f4866,f4831,f3489,f25815]) ).
fof(f25815,plain,
( spl0_1107
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_Oconverse(c_Datatype_Oo2s(X1,tc_prod(X2,X3)),X2,X3),tc_prod(X3,X2))
| c_Datatype_Ooption_OSome(c_Pair(c_Main_OconverseE__1(c_Datatype_Oo2s(X1,tc_prod(X2,X3)),X0,X2,X3),c_Main_OconverseE__2(c_Datatype_Oo2s(X1,tc_prod(X2,X3)),X0,X2,X3),X2,X3),tc_prod(X2,X3)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1107])]) ).
fof(f4866,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Relation_Oconverse(c_Datatype_Oo2s(X1,tc_prod(X2,X3)),X2,X3),tc_prod(X3,X2))
| c_Datatype_Ooption_OSome(c_Pair(c_Main_OconverseE__1(c_Datatype_Oo2s(X1,tc_prod(X2,X3)),X0,X2,X3),c_Main_OconverseE__2(c_Datatype_Oo2s(X1,tc_prod(X2,X3)),X0,X2,X3),X2,X3),tc_prod(X2,X3)) = X1 )
| ~ spl0_407
| ~ spl0_590 ),
inference(resolution,[],[f4832,f3490]) ).
fof(f25813,plain,
( spl0_1106
| ~ spl0_535
| ~ spl0_581 ),
inference(avatar_split_clause,[],[f4769,f4702,f4293,f25811]) ).
fof(f25811,plain,
( spl0_1106
<=> ! [X5,X4,X2,X0,X6,X3,X1] :
( ~ c_in(X0,c_Relation_OImage(c_Relation_OImage(X1,X2,X3,tc_prod(X4,X5)),X6,X4,X5),X5)
| c_in(c_Main_OImageE__1(X2,c_Pair(c_Main_OImageE__1(X6,X0,c_Relation_OImage(X1,X2,X3,tc_prod(X4,X5)),X4,X5),X0,X4,X5),X1,X3,tc_prod(X4,X5)),X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1106])]) ).
fof(f4769,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_in(X0,c_Relation_OImage(c_Relation_OImage(X1,X2,X3,tc_prod(X4,X5)),X6,X4,X5),X5)
| c_in(c_Main_OImageE__1(X2,c_Pair(c_Main_OImageE__1(X6,X0,c_Relation_OImage(X1,X2,X3,tc_prod(X4,X5)),X4,X5),X0,X4,X5),X1,X3,tc_prod(X4,X5)),X2,X3) )
| ~ spl0_535
| ~ spl0_581 ),
inference(resolution,[],[f4703,f4294]) ).
fof(f25809,plain,
( spl0_1105
| ~ spl0_535
| ~ spl0_564 ),
inference(avatar_split_clause,[],[f4528,f4512,f4293,f25807]) ).
fof(f25807,plain,
( spl0_1105
<=> ! [X0,X3,X2,X1] :
( c_in(c_Union(c_Relation_OImage(X0,X1,X2,tc_set(X3)),X3),c_Finite__Set_OFinites,tc_set(X3))
| ~ c_in(c_Relation_OImage(X0,X1,X2,tc_set(X3)),c_Finite__Set_OFinites,tc_set(tc_set(X3)))
| c_in(c_Main_OImageE__1(X1,c_Main_Ofinite__Union__1(c_Relation_OImage(X0,X1,X2,tc_set(X3)),X3),X0,X2,tc_set(X3)),X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1105])]) ).
fof(f4528,plain,
( ! [X2,X3,X0,X1] :
( c_in(c_Union(c_Relation_OImage(X0,X1,X2,tc_set(X3)),X3),c_Finite__Set_OFinites,tc_set(X3))
| ~ c_in(c_Relation_OImage(X0,X1,X2,tc_set(X3)),c_Finite__Set_OFinites,tc_set(tc_set(X3)))
| c_in(c_Main_OImageE__1(X1,c_Main_Ofinite__Union__1(c_Relation_OImage(X0,X1,X2,tc_set(X3)),X3),X0,X2,tc_set(X3)),X1,X2) )
| ~ spl0_535
| ~ spl0_564 ),
inference(resolution,[],[f4513,f4294]) ).
fof(f25671,plain,
( spl0_1104
| ~ spl0_650
| ~ spl0_1090 ),
inference(avatar_split_clause,[],[f24885,f24544,f5667,f25669]) ).
fof(f24885,plain,
( ! [X0] : c_in(X0,c_Message_Oanalz(c_Message_Osynth(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg))),tc_Message_Omsg)
| ~ spl0_650
| ~ spl0_1090 ),
inference(resolution,[],[f24545,f5668]) ).
fof(f25406,plain,
( spl0_1103
| ~ spl0_567
| ~ spl0_599 ),
inference(avatar_split_clause,[],[f4929,f4925,f4545,f25404]) ).
fof(f25404,plain,
( spl0_1103
<=> ! [X4,X0,X3,X2,X1] :
( c_Datatype__Universe_OIn1(X1,X2,X3) = c_Datatype__Universe_OIn0(c_Main_OusumE__1(X0,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),X2,X3)
| c_Datatype__Universe_OIn1(X1,X2,X3) = c_Datatype__Universe_OIn1(c_Main_OusumE__2(X4,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),X2,X3)
| ~ c_in(X1,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1103])]) ).
fof(f4545,plain,
( spl0_567
<=> ! [X13,X7,X12,X2,X1] :
( ~ c_in(X7,X13,tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| c_in(c_Datatype__Universe_OIn1(X7,X1,X2),c_Datatype__Universe_Ousum(X12,X13,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_567])]) ).
fof(f4929,plain,
( ! [X2,X3,X0,X1,X4] :
( c_Datatype__Universe_OIn1(X1,X2,X3) = c_Datatype__Universe_OIn0(c_Main_OusumE__1(X0,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),X2,X3)
| c_Datatype__Universe_OIn1(X1,X2,X3) = c_Datatype__Universe_OIn1(c_Main_OusumE__2(X4,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),X2,X3)
| ~ c_in(X1,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3))) )
| ~ spl0_567
| ~ spl0_599 ),
inference(resolution,[],[f4926,f4546]) ).
fof(f4546,plain,
( ! [X2,X1,X7,X12,X13] :
( c_in(c_Datatype__Universe_OIn1(X7,X1,X2),c_Datatype__Universe_Ousum(X12,X13,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| ~ c_in(X7,X13,tc_set(tc_Datatype__Universe_Onode(X1,X2))) )
| ~ spl0_567 ),
inference(avatar_component_clause,[],[f4545]) ).
fof(f25402,plain,
( spl0_1102
| ~ spl0_566
| ~ spl0_599 ),
inference(avatar_split_clause,[],[f4928,f4925,f4541,f25400]) ).
fof(f25400,plain,
( spl0_1102
<=> ! [X4,X0,X3,X2,X1] :
( c_Datatype__Universe_OIn0(X1,X2,X3) = c_Datatype__Universe_OIn0(c_Main_OusumE__1(X0,c_Datatype__Universe_OIn0(X1,X2,X3),X2,X3),X2,X3)
| c_Datatype__Universe_OIn0(X1,X2,X3) = c_Datatype__Universe_OIn1(c_Main_OusumE__2(X4,c_Datatype__Universe_OIn0(X1,X2,X3),X2,X3),X2,X3)
| ~ c_in(X1,X0,tc_set(tc_Datatype__Universe_Onode(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1102])]) ).
fof(f4541,plain,
( spl0_566
<=> ! [X13,X12,X9,X2,X1] :
( ~ c_in(X9,X12,tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| c_in(c_Datatype__Universe_OIn0(X9,X1,X2),c_Datatype__Universe_Ousum(X12,X13,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_566])]) ).
fof(f4928,plain,
( ! [X2,X3,X0,X1,X4] :
( c_Datatype__Universe_OIn0(X1,X2,X3) = c_Datatype__Universe_OIn0(c_Main_OusumE__1(X0,c_Datatype__Universe_OIn0(X1,X2,X3),X2,X3),X2,X3)
| c_Datatype__Universe_OIn0(X1,X2,X3) = c_Datatype__Universe_OIn1(c_Main_OusumE__2(X4,c_Datatype__Universe_OIn0(X1,X2,X3),X2,X3),X2,X3)
| ~ c_in(X1,X0,tc_set(tc_Datatype__Universe_Onode(X2,X3))) )
| ~ spl0_566
| ~ spl0_599 ),
inference(resolution,[],[f4926,f4542]) ).
fof(f4542,plain,
( ! [X2,X1,X9,X12,X13] :
( c_in(c_Datatype__Universe_OIn0(X9,X1,X2),c_Datatype__Universe_Ousum(X12,X13,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| ~ c_in(X9,X12,tc_set(tc_Datatype__Universe_Onode(X1,X2))) )
| ~ spl0_566 ),
inference(avatar_component_clause,[],[f4541]) ).
fof(f25398,plain,
( spl0_1101
| ~ spl0_382
| ~ spl0_590 ),
inference(avatar_split_clause,[],[f4851,f4831,f3353,f25396]) ).
fof(f25396,plain,
( spl0_1101
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_Oconverse(c_insert(X1,c_emptyset,tc_prod(X2,X3)),X2,X3),tc_prod(X3,X2))
| c_Pair(c_Main_OconverseE__1(c_insert(X1,c_emptyset,tc_prod(X2,X3)),X0,X2,X3),c_Main_OconverseE__2(c_insert(X1,c_emptyset,tc_prod(X2,X3)),X0,X2,X3),X2,X3) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1101])]) ).
fof(f4851,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Relation_Oconverse(c_insert(X1,c_emptyset,tc_prod(X2,X3)),X2,X3),tc_prod(X3,X2))
| c_Pair(c_Main_OconverseE__1(c_insert(X1,c_emptyset,tc_prod(X2,X3)),X0,X2,X3),c_Main_OconverseE__2(c_insert(X1,c_emptyset,tc_prod(X2,X3)),X0,X2,X3),X2,X3) = X1 )
| ~ spl0_382
| ~ spl0_590 ),
inference(resolution,[],[f4832,f3354]) ).
fof(f25394,plain,
( spl0_1100
| ~ spl0_576
| ~ spl0_577 ),
inference(avatar_split_clause,[],[f4689,f4660,f4582,f25392]) ).
fof(f25392,plain,
( spl0_1100
<=> ! [X5,X4,X2,X0,X7,X6,X3,X1] :
( c_in(X0,c_Relation_OImage(c_Relation_OImage(X1,c_insert(X2,c_emptyset,X3),X3,tc_prod(X4,X5)),X6,X4,X5),X5)
| ~ c_in(X7,X6,X4)
| ~ c_in(c_Pair(X2,c_Pair(X7,X0,X4,X5),X3,tc_prod(X4,X5)),X1,tc_prod(X3,tc_prod(X4,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1100])]) ).
fof(f4689,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( c_in(X0,c_Relation_OImage(c_Relation_OImage(X1,c_insert(X2,c_emptyset,X3),X3,tc_prod(X4,X5)),X6,X4,X5),X5)
| ~ c_in(X7,X6,X4)
| ~ c_in(c_Pair(X2,c_Pair(X7,X0,X4,X5),X3,tc_prod(X4,X5)),X1,tc_prod(X3,tc_prod(X4,X5))) )
| ~ spl0_576
| ~ spl0_577 ),
inference(resolution,[],[f4661,f4583]) ).
fof(f25189,plain,
( spl0_1099
| ~ spl0_652
| ~ spl0_1090 ),
inference(avatar_split_clause,[],[f24883,f24544,f5675,f25187]) ).
fof(f24883,plain,
( ! [X0] : c_in(X0,c_Message_Oparts(c_Message_Osynth(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg))),tc_Message_Omsg)
| ~ spl0_652
| ~ spl0_1090 ),
inference(resolution,[],[f24545,f5676]) ).
fof(f24578,plain,
( spl0_1098
| ~ spl0_581
| ~ spl0_611 ),
inference(avatar_split_clause,[],[f5085,f5070,f4702,f24576]) ).
fof(f24576,plain,
( spl0_1098
<=> ! [X5,X4,X2,X7,X0,X6,X3,X1] :
( ~ c_in(c_Pair(X0,c_Main_OImageE__1(X1,X2,X3,X4,X5),X6,X4),X7,tc_prod(X6,X4))
| c_in(c_Pair(X0,X2,X6,X5),c_Relation_Orel__comp(X3,X7,X4,X5,X6),tc_prod(X6,X5))
| ~ c_in(X2,c_Relation_OImage(X3,X1,X4,X5),X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1098])]) ).
fof(f5085,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ c_in(c_Pair(X0,c_Main_OImageE__1(X1,X2,X3,X4,X5),X6,X4),X7,tc_prod(X6,X4))
| c_in(c_Pair(X0,X2,X6,X5),c_Relation_Orel__comp(X3,X7,X4,X5,X6),tc_prod(X6,X5))
| ~ c_in(X2,c_Relation_OImage(X3,X1,X4,X5),X5) )
| ~ spl0_581
| ~ spl0_611 ),
inference(resolution,[],[f5071,f4703]) ).
fof(f24574,plain,
( spl0_1097
| ~ spl0_583
| ~ spl0_611 ),
inference(avatar_split_clause,[],[f5081,f5070,f4711,f24572]) ).
fof(f24572,plain,
( spl0_1097
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
| c_in(c_Pair(X0,X5,X2,X6),c_Relation_Orel__comp(c_Relation_Oconverse(X7,X6,X3),X4,X3,X6,X2),tc_prod(X2,X6))
| ~ c_in(c_Pair(X5,X1,X6,X3),X7,tc_prod(X6,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1097])]) ).
fof(f4711,plain,
( spl0_583
<=> ! [X18,X5,X27,X2,X1] :
( ~ c_in(c_Pair(X27,X18,X2,X1),X5,tc_prod(X2,X1))
| c_in(c_Pair(X18,X27,X1,X2),c_Relation_Oconverse(X5,X2,X1),tc_prod(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_583])]) ).
fof(f5081,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
| c_in(c_Pair(X0,X5,X2,X6),c_Relation_Orel__comp(c_Relation_Oconverse(X7,X6,X3),X4,X3,X6,X2),tc_prod(X2,X6))
| ~ c_in(c_Pair(X5,X1,X6,X3),X7,tc_prod(X6,X3)) )
| ~ spl0_583
| ~ spl0_611 ),
inference(resolution,[],[f5071,f4712]) ).
fof(f4712,plain,
( ! [X2,X18,X1,X27,X5] :
( c_in(c_Pair(X18,X27,X1,X2),c_Relation_Oconverse(X5,X2,X1),tc_prod(X1,X2))
| ~ c_in(c_Pair(X27,X18,X2,X1),X5,tc_prod(X2,X1)) )
| ~ spl0_583 ),
inference(avatar_component_clause,[],[f4711]) ).
fof(f24570,plain,
( spl0_1096
| ~ spl0_516
| ~ spl0_596 ),
inference(avatar_split_clause,[],[f4907,f4903,f4101,f24568]) ).
fof(f24568,plain,
( spl0_1096
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ c_in(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ c_in(X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ c_in(X6,c_Datatype__Universe_OScons(X0,X4,X2,X3),tc_Datatype__Universe_Onode(X2,X3))
| c_in(X6,c_Union(c_Datatype__Universe_Ouprod(X1,X5,X2,X3),tc_Datatype__Universe_Onode(X2,X3)),tc_Datatype__Universe_Onode(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1096])]) ).
fof(f4101,plain,
( spl0_516
<=> ! [X53,X12,X32,X1] :
( ~ c_in(X12,X53,X1)
| ~ c_in(X53,X32,tc_set(X1))
| c_in(X12,c_Union(X32,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_516])]) ).
fof(f4907,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_in(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ c_in(X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ c_in(X6,c_Datatype__Universe_OScons(X0,X4,X2,X3),tc_Datatype__Universe_Onode(X2,X3))
| c_in(X6,c_Union(c_Datatype__Universe_Ouprod(X1,X5,X2,X3),tc_Datatype__Universe_Onode(X2,X3)),tc_Datatype__Universe_Onode(X2,X3)) )
| ~ spl0_516
| ~ spl0_596 ),
inference(resolution,[],[f4904,f4102]) ).
fof(f4102,plain,
( ! [X1,X53,X12,X32] :
( ~ c_in(X53,X32,tc_set(X1))
| ~ c_in(X12,X53,X1)
| c_in(X12,c_Union(X32,X1),X1) )
| ~ spl0_516 ),
inference(avatar_component_clause,[],[f4101]) ).
fof(f24566,plain,
( spl0_1095
| ~ spl0_514
| ~ spl0_581 ),
inference(avatar_split_clause,[],[f4775,f4702,f4093,f24564]) ).
fof(f24564,plain,
( spl0_1095
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_OImage(c_Inter(X1,tc_prod(X2,X3)),X4,X2,X3),X3)
| ~ c_in(X5,X1,tc_set(tc_prod(X2,X3)))
| c_in(c_Pair(c_Main_OImageE__1(X4,X0,c_Inter(X1,tc_prod(X2,X3)),X2,X3),X0,X2,X3),X5,tc_prod(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1095])]) ).
fof(f4775,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Relation_OImage(c_Inter(X1,tc_prod(X2,X3)),X4,X2,X3),X3)
| ~ c_in(X5,X1,tc_set(tc_prod(X2,X3)))
| c_in(c_Pair(c_Main_OImageE__1(X4,X0,c_Inter(X1,tc_prod(X2,X3)),X2,X3),X0,X2,X3),X5,tc_prod(X2,X3)) )
| ~ spl0_514
| ~ spl0_581 ),
inference(resolution,[],[f4703,f4094]) ).
fof(f24562,plain,
( spl0_1094
| ~ spl0_447
| ~ spl0_580 ),
inference(avatar_split_clause,[],[f4753,f4698,f3669,f24560]) ).
fof(f24560,plain,
( spl0_1094
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(c_SetInterval_OgreaterThan(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_less(X1,c_Main_OuprodE__1(c_SetInterval_OgreaterThan(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X0,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ class_Orderings_Oord(tc_set(tc_Datatype__Universe_Onode(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1094])]) ).
fof(f4753,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(c_SetInterval_OgreaterThan(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_less(X1,c_Main_OuprodE__1(c_SetInterval_OgreaterThan(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X0,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ class_Orderings_Oord(tc_set(tc_Datatype__Universe_Onode(X2,X3))) )
| ~ spl0_447
| ~ spl0_580 ),
inference(resolution,[],[f4699,f3670]) ).
fof(f24558,plain,
( spl0_1093
| ~ spl0_441
| ~ spl0_580 ),
inference(avatar_split_clause,[],[f4752,f4698,f3645,f24556]) ).
fof(f24556,plain,
( spl0_1093
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(c_SetInterval_OatLeast(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_lessequals(X1,c_Main_OuprodE__1(c_SetInterval_OatLeast(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X0,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ class_Orderings_Oord(tc_set(tc_Datatype__Universe_Onode(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1093])]) ).
fof(f4752,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(c_SetInterval_OatLeast(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_lessequals(X1,c_Main_OuprodE__1(c_SetInterval_OatLeast(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X0,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ class_Orderings_Oord(tc_set(tc_Datatype__Universe_Onode(X2,X3))) )
| ~ spl0_441
| ~ spl0_580 ),
inference(resolution,[],[f4699,f3646]) ).
fof(f24554,plain,
( spl0_1092
| ~ spl0_450
| ~ spl0_580 ),
inference(avatar_split_clause,[],[f4745,f4698,f3681,f24552]) ).
fof(f24552,plain,
( spl0_1092
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(c_SetInterval_OlessThan(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_less(c_Main_OuprodE__1(c_SetInterval_OlessThan(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X0,X2,X3),X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ class_Orderings_Oord(tc_set(tc_Datatype__Universe_Onode(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1092])]) ).
fof(f4745,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(c_SetInterval_OlessThan(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_less(c_Main_OuprodE__1(c_SetInterval_OlessThan(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X0,X2,X3),X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ class_Orderings_Oord(tc_set(tc_Datatype__Universe_Onode(X2,X3))) )
| ~ spl0_450
| ~ spl0_580 ),
inference(resolution,[],[f4699,f3682]) ).
fof(f24550,plain,
( spl0_1091
| ~ spl0_444
| ~ spl0_580 ),
inference(avatar_split_clause,[],[f4744,f4698,f3657,f24548]) ).
fof(f24548,plain,
( spl0_1091
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(c_SetInterval_OatMost(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_lessequals(c_Main_OuprodE__1(c_SetInterval_OatMost(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X0,X2,X3),X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ class_Orderings_Oord(tc_set(tc_Datatype__Universe_Onode(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1091])]) ).
fof(f4744,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(c_SetInterval_OatMost(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_lessequals(c_Main_OuprodE__1(c_SetInterval_OatMost(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X0,X2,X3),X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ class_Orderings_Oord(tc_set(tc_Datatype__Universe_Onode(X2,X3))) )
| ~ spl0_444
| ~ spl0_580 ),
inference(resolution,[],[f4699,f3658]) ).
fof(f24546,plain,
( spl0_1090
| ~ spl0_487
| ~ spl0_1017 ),
inference(avatar_split_clause,[],[f24439,f19837,f3931,f24544]) ).
fof(f3931,plain,
( spl0_487
<=> ! [X0,X12,X1,X26] :
( c_in(X0,X12,X1)
| ~ c_in(c_List_Olist_OCons(X0,X26,X1),c_List_Olists(X12,X1),tc_List_Olist(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_487])]) ).
fof(f19837,plain,
( spl0_1017
<=> ! [X0] : c_in(X0,c_List_Olists(c_Message_Osynth(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)),tc_Message_Omsg),tc_List_Olist(tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1017])]) ).
fof(f24439,plain,
( ! [X0] : c_in(X0,c_Message_Osynth(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)),tc_Message_Omsg)
| ~ spl0_487
| ~ spl0_1017 ),
inference(resolution,[],[f19838,f3932]) ).
fof(f3932,plain,
( ! [X0,X1,X26,X12] :
( ~ c_in(c_List_Olist_OCons(X0,X26,X1),c_List_Olists(X12,X1),tc_List_Olist(X1))
| c_in(X0,X12,X1) )
| ~ spl0_487 ),
inference(avatar_component_clause,[],[f3931]) ).
fof(f19838,plain,
( ! [X0] : c_in(X0,c_List_Olists(c_Message_Osynth(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)),tc_Message_Omsg),tc_List_Olist(tc_Message_Omsg))
| ~ spl0_1017 ),
inference(avatar_component_clause,[],[f19837]) ).
fof(f24542,plain,
( spl0_1089
| ~ spl0_447
| ~ spl0_579 ),
inference(avatar_split_clause,[],[f4733,f4694,f3669,f24540]) ).
fof(f24540,plain,
( spl0_1089
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(X1,c_SetInterval_OgreaterThan(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_less(X2,c_Main_OuprodE__2(X1,c_SetInterval_OgreaterThan(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ class_Orderings_Oord(tc_set(tc_Datatype__Universe_Onode(X3,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1089])]) ).
fof(f4733,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(X1,c_SetInterval_OgreaterThan(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_less(X2,c_Main_OuprodE__2(X1,c_SetInterval_OgreaterThan(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ class_Orderings_Oord(tc_set(tc_Datatype__Universe_Onode(X3,X4))) )
| ~ spl0_447
| ~ spl0_579 ),
inference(resolution,[],[f4695,f3670]) ).
fof(f24538,plain,
( spl0_1088
| ~ spl0_441
| ~ spl0_579 ),
inference(avatar_split_clause,[],[f4732,f4694,f3645,f24536]) ).
fof(f24536,plain,
( spl0_1088
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(X1,c_SetInterval_OatLeast(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_lessequals(X2,c_Main_OuprodE__2(X1,c_SetInterval_OatLeast(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ class_Orderings_Oord(tc_set(tc_Datatype__Universe_Onode(X3,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1088])]) ).
fof(f4732,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(X1,c_SetInterval_OatLeast(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_lessequals(X2,c_Main_OuprodE__2(X1,c_SetInterval_OatLeast(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ class_Orderings_Oord(tc_set(tc_Datatype__Universe_Onode(X3,X4))) )
| ~ spl0_441
| ~ spl0_579 ),
inference(resolution,[],[f4695,f3646]) ).
fof(f24534,plain,
( spl0_1087
| ~ spl0_450
| ~ spl0_579 ),
inference(avatar_split_clause,[],[f4725,f4694,f3681,f24532]) ).
fof(f24532,plain,
( spl0_1087
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(X1,c_SetInterval_OlessThan(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_less(c_Main_OuprodE__2(X1,c_SetInterval_OlessThan(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X0,X3,X4),X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ class_Orderings_Oord(tc_set(tc_Datatype__Universe_Onode(X3,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1087])]) ).
fof(f4725,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(X1,c_SetInterval_OlessThan(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_less(c_Main_OuprodE__2(X1,c_SetInterval_OlessThan(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X0,X3,X4),X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ class_Orderings_Oord(tc_set(tc_Datatype__Universe_Onode(X3,X4))) )
| ~ spl0_450
| ~ spl0_579 ),
inference(resolution,[],[f4695,f3682]) ).
fof(f24530,plain,
( spl0_1086
| ~ spl0_444
| ~ spl0_579 ),
inference(avatar_split_clause,[],[f4724,f4694,f3657,f24528]) ).
fof(f24528,plain,
( spl0_1086
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(X1,c_SetInterval_OatMost(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_lessequals(c_Main_OuprodE__2(X1,c_SetInterval_OatMost(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X0,X3,X4),X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ class_Orderings_Oord(tc_set(tc_Datatype__Universe_Onode(X3,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1086])]) ).
fof(f4724,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(X1,c_SetInterval_OatMost(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_lessequals(c_Main_OuprodE__2(X1,c_SetInterval_OatMost(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X0,X3,X4),X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ class_Orderings_Oord(tc_set(tc_Datatype__Universe_Onode(X3,X4))) )
| ~ spl0_444
| ~ spl0_579 ),
inference(resolution,[],[f4695,f3658]) ).
fof(f24526,plain,
( spl0_1085
| ~ spl0_529
| ~ spl0_577 ),
inference(avatar_split_clause,[],[f4686,f4660,f4244,f24524]) ).
fof(f24524,plain,
( spl0_1085
<=> ! [X3,X4,X0,X6,X5,X2,X1] :
( c_in(X0,c_Relation_OImage(c_minus(X1,X2,tc_set(tc_prod(X3,X4))),X5,X3,X4),X4)
| ~ c_in(X6,X5,X3)
| c_in(c_Pair(X6,X0,X3,X4),X2,tc_prod(X3,X4))
| ~ c_in(c_Pair(X6,X0,X3,X4),X1,tc_prod(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1085])]) ).
fof(f4686,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( c_in(X0,c_Relation_OImage(c_minus(X1,X2,tc_set(tc_prod(X3,X4))),X5,X3,X4),X4)
| ~ c_in(X6,X5,X3)
| c_in(c_Pair(X6,X0,X3,X4),X2,tc_prod(X3,X4))
| ~ c_in(c_Pair(X6,X0,X3,X4),X1,tc_prod(X3,X4)) )
| ~ spl0_529
| ~ spl0_577 ),
inference(resolution,[],[f4661,f4245]) ).
fof(f24522,plain,
( spl0_1084
| ~ spl0_535
| ~ spl0_570 ),
inference(avatar_split_clause,[],[f4629,f4557,f4293,f24520]) ).
fof(f24520,plain,
( spl0_1084
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ c_in(X0,c_Relation_ORange(c_Relation_OImage(X1,X2,X3,tc_prod(X4,X5)),X4,X5),X5)
| c_in(c_Main_OImageE__1(X2,c_Pair(c_Main_ORangeE__1(X0,c_Relation_OImage(X1,X2,X3,tc_prod(X4,X5)),X5,X4),X0,X4,X5),X1,X3,tc_prod(X4,X5)),X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1084])]) ).
fof(f4629,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Relation_ORange(c_Relation_OImage(X1,X2,X3,tc_prod(X4,X5)),X4,X5),X5)
| c_in(c_Main_OImageE__1(X2,c_Pair(c_Main_ORangeE__1(X0,c_Relation_OImage(X1,X2,X3,tc_prod(X4,X5)),X5,X4),X0,X4,X5),X1,X3,tc_prod(X4,X5)),X2,X3) )
| ~ spl0_535
| ~ spl0_570 ),
inference(resolution,[],[f4558,f4294]) ).
fof(f24518,plain,
( spl0_1083
| ~ spl0_535
| ~ spl0_569 ),
inference(avatar_split_clause,[],[f4604,f4553,f4293,f24516]) ).
fof(f24516,plain,
( spl0_1083
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ c_in(X0,c_Relation_ODomain(c_Relation_OImage(X1,X2,X3,tc_prod(X4,X5)),X4,X5),X4)
| c_in(c_Main_OImageE__1(X2,c_Pair(X0,c_Main_ODomainE__1(X0,c_Relation_OImage(X1,X2,X3,tc_prod(X4,X5)),X4,X5),X4,X5),X1,X3,tc_prod(X4,X5)),X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1083])]) ).
fof(f4604,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Relation_ODomain(c_Relation_OImage(X1,X2,X3,tc_prod(X4,X5)),X4,X5),X4)
| c_in(c_Main_OImageE__1(X2,c_Pair(X0,c_Main_ODomainE__1(X0,c_Relation_OImage(X1,X2,X3,tc_prod(X4,X5)),X4,X5),X4,X5),X1,X3,tc_prod(X4,X5)),X2,X3) )
| ~ spl0_535
| ~ spl0_569 ),
inference(resolution,[],[f4554,f4294]) ).
fof(f23138,plain,
( spl0_1082
| ~ spl0_533
| ~ spl0_616 ),
inference(avatar_split_clause,[],[f5175,f5139,f4285,f23136]) ).
fof(f23136,plain,
( spl0_1082
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_in(c_Main_OdprodE__1(X0,X1,X2,X3,X4),c_Relation_ODomain(X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1082])]) ).
fof(f5175,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_in(c_Main_OdprodE__1(X0,X1,X2,X3,X4),c_Relation_ODomain(X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4))) )
| ~ spl0_533
| ~ spl0_616 ),
inference(resolution,[],[f5140,f4286]) ).
fof(f23134,plain,
( spl0_1081
| ~ spl0_536
| ~ spl0_616 ),
inference(avatar_split_clause,[],[f5174,f5139,f4297,f23132]) ).
fof(f23132,plain,
( spl0_1081
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_in(c_Main_OdprodE__3(X0,X1,X2,X3,X4),c_Relation_ORange(X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1081])]) ).
fof(f5174,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_in(c_Main_OdprodE__3(X0,X1,X2,X3,X4),c_Relation_ORange(X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4))) )
| ~ spl0_536
| ~ spl0_616 ),
inference(resolution,[],[f5140,f4298]) ).
fof(f23130,plain,
( spl0_1080
| ~ spl0_533
| ~ spl0_615 ),
inference(avatar_split_clause,[],[f5145,f5135,f4285,f23128]) ).
fof(f23128,plain,
( spl0_1080
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_in(c_Main_OdprodE__2(X0,X1,X2,X3,X4),c_Relation_ODomain(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1080])]) ).
fof(f5145,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_in(c_Main_OdprodE__2(X0,X1,X2,X3,X4),c_Relation_ODomain(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4))) )
| ~ spl0_533
| ~ spl0_615 ),
inference(resolution,[],[f5136,f4286]) ).
fof(f23126,plain,
( spl0_1079
| ~ spl0_536
| ~ spl0_615 ),
inference(avatar_split_clause,[],[f5144,f5135,f4297,f23124]) ).
fof(f23124,plain,
( spl0_1079
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_in(c_Main_OdprodE__4(X0,X1,X2,X3,X4),c_Relation_ORange(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1079])]) ).
fof(f5144,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,X2,X3,X4),tc_prod(tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))))
| c_in(c_Main_OdprodE__4(X0,X1,X2,X3,X4),c_Relation_ORange(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)),tc_set(tc_Datatype__Universe_Onode(X3,X4))),tc_set(tc_Datatype__Universe_Onode(X3,X4))) )
| ~ spl0_536
| ~ spl0_615 ),
inference(resolution,[],[f5136,f4298]) ).
fof(f23122,plain,
( spl0_1078
| ~ spl0_343
| ~ spl0_611 ),
inference(avatar_split_clause,[],[f5092,f5070,f3160,f23120]) ).
fof(f23120,plain,
( spl0_1078
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
| c_in(c_Pair(X0,X5,X2,X6),c_Relation_Orel__comp(c_Datatype_Oo2s(c_Datatype_Ooption_OSome(c_Pair(X1,X5,X3,X6),tc_prod(X3,X6)),tc_prod(X3,X6)),X4,X3,X6,X2),tc_prod(X2,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1078])]) ).
fof(f3160,plain,
( spl0_343
<=> ! [X0,X1] : c_in(X0,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X0,X1),X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_343])]) ).
fof(f5092,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
| c_in(c_Pair(X0,X5,X2,X6),c_Relation_Orel__comp(c_Datatype_Oo2s(c_Datatype_Ooption_OSome(c_Pair(X1,X5,X3,X6),tc_prod(X3,X6)),tc_prod(X3,X6)),X4,X3,X6,X2),tc_prod(X2,X6)) )
| ~ spl0_343
| ~ spl0_611 ),
inference(resolution,[],[f5071,f3161]) ).
fof(f3161,plain,
( ! [X0,X1] : c_in(X0,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X0,X1),X1),X1)
| ~ spl0_343 ),
inference(avatar_component_clause,[],[f3160]) ).
fof(f23118,plain,
( spl0_1077
| ~ spl0_491
| ~ spl0_611 ),
inference(avatar_split_clause,[],[f5090,f5070,f3947,f23116]) ).
fof(f23116,plain,
( spl0_1077
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
| c_in(c_Pair(X0,X5,X2,X3),c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(X6,X3),X4,X3,X3,X2),tc_prod(X2,X3))
| ~ c_in(c_Pair(X1,X5,X3,X3),X6,tc_prod(X3,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1077])]) ).
fof(f3947,plain,
( spl0_491
<=> ! [X5,X1,X28] :
( ~ c_in(X28,X5,tc_prod(X1,X1))
| c_in(X28,c_Transitive__Closure_Ortrancl(X5,X1),tc_prod(X1,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_491])]) ).
fof(f5090,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
| c_in(c_Pair(X0,X5,X2,X3),c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(X6,X3),X4,X3,X3,X2),tc_prod(X2,X3))
| ~ c_in(c_Pair(X1,X5,X3,X3),X6,tc_prod(X3,X3)) )
| ~ spl0_491
| ~ spl0_611 ),
inference(resolution,[],[f5071,f3948]) ).
fof(f3948,plain,
( ! [X28,X1,X5] :
( c_in(X28,c_Transitive__Closure_Ortrancl(X5,X1),tc_prod(X1,X1))
| ~ c_in(X28,X5,tc_prod(X1,X1)) )
| ~ spl0_491 ),
inference(avatar_component_clause,[],[f3947]) ).
fof(f23114,plain,
( spl0_1076
| ~ spl0_650
| ~ spl0_836 ),
inference(avatar_split_clause,[],[f9899,f9544,f5667,f23112]) ).
fof(f23112,plain,
( spl0_1076
<=> ! [X0] : c_in(X0,c_Message_Oanalz(c_Relation_OImage(c_UNIV,c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg,tc_Message_Omsg)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1076])]) ).
fof(f9544,plain,
( spl0_836
<=> ! [X0,X1] : c_in(X0,c_Relation_OImage(c_UNIV,c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg,X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_836])]) ).
fof(f9899,plain,
( ! [X0] : c_in(X0,c_Message_Oanalz(c_Relation_OImage(c_UNIV,c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg,tc_Message_Omsg)),tc_Message_Omsg)
| ~ spl0_650
| ~ spl0_836 ),
inference(resolution,[],[f9545,f5668]) ).
fof(f9545,plain,
( ! [X0,X1] : c_in(X0,c_Relation_OImage(c_UNIV,c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg,X1),X1)
| ~ spl0_836 ),
inference(avatar_component_clause,[],[f9544]) ).
fof(f23110,plain,
( spl0_1075
| ~ spl0_578
| ~ spl0_611 ),
inference(avatar_split_clause,[],[f5084,f5070,f4664,f23108]) ).
fof(f23108,plain,
( spl0_1075
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
| c_in(c_Pair(X0,X5,X2,X3),c_Relation_Orel__comp(c_Transitive__Closure_Otrancl(X6,X3),X4,X3,X3,X2),tc_prod(X2,X3))
| ~ c_in(c_Pair(X1,X5,X3,X3),X6,tc_prod(X3,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1075])]) ).
fof(f4664,plain,
( spl0_578
<=> ! [X5,X18,X27,X1] :
( ~ c_in(c_Pair(X18,X27,X1,X1),X5,tc_prod(X1,X1))
| c_in(c_Pair(X18,X27,X1,X1),c_Transitive__Closure_Otrancl(X5,X1),tc_prod(X1,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_578])]) ).
fof(f5084,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
| c_in(c_Pair(X0,X5,X2,X3),c_Relation_Orel__comp(c_Transitive__Closure_Otrancl(X6,X3),X4,X3,X3,X2),tc_prod(X2,X3))
| ~ c_in(c_Pair(X1,X5,X3,X3),X6,tc_prod(X3,X3)) )
| ~ spl0_578
| ~ spl0_611 ),
inference(resolution,[],[f5071,f4665]) ).
fof(f4665,plain,
( ! [X18,X1,X27,X5] :
( c_in(c_Pair(X18,X27,X1,X1),c_Transitive__Closure_Otrancl(X5,X1),tc_prod(X1,X1))
| ~ c_in(c_Pair(X18,X27,X1,X1),X5,tc_prod(X1,X1)) )
| ~ spl0_578 ),
inference(avatar_component_clause,[],[f4664]) ).
fof(f23106,plain,
( spl0_1074
| ~ spl0_567
| ~ spl0_601 ),
inference(avatar_split_clause,[],[f4962,f4941,f4545,f23104]) ).
fof(f23104,plain,
( spl0_1074
<=> ! [X4,X0,X3,X2,X1] :
( c_Datatype__Universe_OIn1(X1,X2,X3) = c_Datatype__Universe_OIn1(c_Main_OusumE__2(X0,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),X2,X3)
| c_in(c_Main_OusumE__1(X4,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ c_in(X1,X0,tc_set(tc_Datatype__Universe_Onode(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1074])]) ).
fof(f4962,plain,
( ! [X2,X3,X0,X1,X4] :
( c_Datatype__Universe_OIn1(X1,X2,X3) = c_Datatype__Universe_OIn1(c_Main_OusumE__2(X0,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),X2,X3)
| c_in(c_Main_OusumE__1(X4,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ c_in(X1,X0,tc_set(tc_Datatype__Universe_Onode(X2,X3))) )
| ~ spl0_567
| ~ spl0_601 ),
inference(resolution,[],[f4942,f4546]) ).
fof(f23102,plain,
( spl0_1073
| ~ spl0_566
| ~ spl0_600 ),
inference(avatar_split_clause,[],[f4953,f4937,f4541,f23100]) ).
fof(f23100,plain,
( spl0_1073
<=> ! [X4,X0,X3,X2,X1] :
( c_Datatype__Universe_OIn0(X1,X2,X3) = c_Datatype__Universe_OIn0(c_Main_OusumE__1(X0,c_Datatype__Universe_OIn0(X1,X2,X3),X2,X3),X2,X3)
| c_in(c_Main_OusumE__2(X4,c_Datatype__Universe_OIn0(X1,X2,X3),X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ c_in(X1,X0,tc_set(tc_Datatype__Universe_Onode(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1073])]) ).
fof(f4953,plain,
( ! [X2,X3,X0,X1,X4] :
( c_Datatype__Universe_OIn0(X1,X2,X3) = c_Datatype__Universe_OIn0(c_Main_OusumE__1(X0,c_Datatype__Universe_OIn0(X1,X2,X3),X2,X3),X2,X3)
| c_in(c_Main_OusumE__2(X4,c_Datatype__Universe_OIn0(X1,X2,X3),X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ c_in(X1,X0,tc_set(tc_Datatype__Universe_Onode(X2,X3))) )
| ~ spl0_566
| ~ spl0_600 ),
inference(resolution,[],[f4938,f4542]) ).
fof(f23098,plain,
( spl0_1072
| ~ spl0_583
| ~ spl0_584 ),
inference(avatar_split_clause,[],[f4809,f4790,f4711,f23096]) ).
fof(f23096,plain,
( spl0_1072
<=> ! [X4,X0,X3,X2,X1] :
( c_Pair(X1,X2,X3,X4) = c_Pair(c_Main_OconverseE__2(X0,c_Pair(X1,X2,X3,X4),X4,X3),c_Main_OconverseE__1(X0,c_Pair(X1,X2,X3,X4),X4,X3),X3,X4)
| ~ c_in(c_Pair(X2,X1,X4,X3),X0,tc_prod(X4,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1072])]) ).
fof(f4809,plain,
( ! [X2,X3,X0,X1,X4] :
( c_Pair(X1,X2,X3,X4) = c_Pair(c_Main_OconverseE__2(X0,c_Pair(X1,X2,X3,X4),X4,X3),c_Main_OconverseE__1(X0,c_Pair(X1,X2,X3,X4),X4,X3),X3,X4)
| ~ c_in(c_Pair(X2,X1,X4,X3),X0,tc_prod(X4,X3)) )
| ~ spl0_583
| ~ spl0_584 ),
inference(resolution,[],[f4791,f4712]) ).
fof(f23094,plain,
( spl0_1071
| ~ spl0_453
| ~ spl0_580 ),
inference(avatar_split_clause,[],[f4749,f4698,f3693,f23092]) ).
fof(f23092,plain,
( spl0_1071
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(c_minus(X1,X2,tc_set(tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ c_in(c_Main_OuprodE__1(c_minus(X1,X2,tc_set(tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X5,X0,X3,X4),X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1071])]) ).
fof(f4749,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(c_minus(X1,X2,tc_set(tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ c_in(c_Main_OuprodE__1(c_minus(X1,X2,tc_set(tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X5,X0,X3,X4),X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))) )
| ~ spl0_453
| ~ spl0_580 ),
inference(resolution,[],[f4699,f3694]) ).
fof(f23090,plain,
( spl0_1070
| ~ spl0_454
| ~ spl0_580 ),
inference(avatar_split_clause,[],[f4748,f4698,f3697,f23088]) ).
fof(f23088,plain,
( spl0_1070
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(c_minus(X1,X2,tc_set(tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_in(c_Main_OuprodE__1(c_minus(X1,X2,tc_set(tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X5,X0,X3,X4),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1070])]) ).
fof(f4748,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(c_minus(X1,X2,tc_set(tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_in(c_Main_OuprodE__1(c_minus(X1,X2,tc_set(tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X5,X0,X3,X4),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4))) )
| ~ spl0_454
| ~ spl0_580 ),
inference(resolution,[],[f4699,f3698]) ).
fof(f23086,plain,
( spl0_1069
| ~ spl0_453
| ~ spl0_579 ),
inference(avatar_split_clause,[],[f4729,f4694,f3693,f23084]) ).
fof(f23084,plain,
( spl0_1069
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(X1,c_minus(X2,X3,tc_set(tc_set(tc_Datatype__Universe_Onode(X4,X5)))),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)))
| ~ c_in(c_Main_OuprodE__2(X1,c_minus(X2,X3,tc_set(tc_set(tc_Datatype__Universe_Onode(X4,X5)))),X0,X4,X5),X3,tc_set(tc_Datatype__Universe_Onode(X4,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1069])]) ).
fof(f4729,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(X1,c_minus(X2,X3,tc_set(tc_set(tc_Datatype__Universe_Onode(X4,X5)))),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)))
| ~ c_in(c_Main_OuprodE__2(X1,c_minus(X2,X3,tc_set(tc_set(tc_Datatype__Universe_Onode(X4,X5)))),X0,X4,X5),X3,tc_set(tc_Datatype__Universe_Onode(X4,X5))) )
| ~ spl0_453
| ~ spl0_579 ),
inference(resolution,[],[f4695,f3694]) ).
fof(f23082,plain,
( spl0_1068
| ~ spl0_454
| ~ spl0_579 ),
inference(avatar_split_clause,[],[f4728,f4694,f3697,f23080]) ).
fof(f23080,plain,
( spl0_1068
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(X1,c_minus(X2,X3,tc_set(tc_set(tc_Datatype__Universe_Onode(X4,X5)))),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)))
| c_in(c_Main_OuprodE__2(X1,c_minus(X2,X3,tc_set(tc_set(tc_Datatype__Universe_Onode(X4,X5)))),X0,X4,X5),X2,tc_set(tc_Datatype__Universe_Onode(X4,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1068])]) ).
fof(f4728,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(X1,c_minus(X2,X3,tc_set(tc_set(tc_Datatype__Universe_Onode(X4,X5)))),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)))
| c_in(c_Main_OuprodE__2(X1,c_minus(X2,X3,tc_set(tc_set(tc_Datatype__Universe_Onode(X4,X5)))),X0,X4,X5),X2,tc_set(tc_Datatype__Universe_Onode(X4,X5))) )
| ~ spl0_454
| ~ spl0_579 ),
inference(resolution,[],[f4695,f3698]) ).
fof(f23078,plain,
( spl0_1067
| ~ spl0_513
| ~ spl0_577 ),
inference(avatar_split_clause,[],[f4685,f4660,f4089,f23076]) ).
fof(f23076,plain,
( spl0_1067
<=> ! [X3,X4,X0,X6,X5,X2,X1] :
( c_in(X0,c_Relation_OImage(c_inter(X1,X2,tc_prod(X3,X4)),X5,X3,X4),X4)
| ~ c_in(X6,X5,X3)
| ~ c_in(c_Pair(X6,X0,X3,X4),X1,tc_prod(X3,X4))
| ~ c_in(c_Pair(X6,X0,X3,X4),X2,tc_prod(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1067])]) ).
fof(f4685,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( c_in(X0,c_Relation_OImage(c_inter(X1,X2,tc_prod(X3,X4)),X5,X3,X4),X4)
| ~ c_in(X6,X5,X3)
| ~ c_in(c_Pair(X6,X0,X3,X4),X1,tc_prod(X3,X4))
| ~ c_in(c_Pair(X6,X0,X3,X4),X2,tc_prod(X3,X4)) )
| ~ spl0_513
| ~ spl0_577 ),
inference(resolution,[],[f4661,f4090]) ).
fof(f23074,plain,
( spl0_1066
| ~ spl0_489
| ~ spl0_575 ),
inference(avatar_split_clause,[],[f4649,f4578,f3939,f23072]) ).
fof(f23072,plain,
( spl0_1066
<=> ! [X4,X0,X3,X2,X1] :
( c_in(c_Pair(X0,c_Main_OUnionE__1(X1,c_Relation_OImage(X2,c_insert(X0,c_emptyset,X3),X3,tc_set(X4)),X4),X3,tc_set(X4)),X2,tc_prod(X3,tc_set(X4)))
| ~ c_in(X1,c_Union(c_Relation_OImage(X2,c_insert(X0,c_emptyset,X3),X3,tc_set(X4)),X4),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1066])]) ).
fof(f4649,plain,
( ! [X2,X3,X0,X1,X4] :
( c_in(c_Pair(X0,c_Main_OUnionE__1(X1,c_Relation_OImage(X2,c_insert(X0,c_emptyset,X3),X3,tc_set(X4)),X4),X3,tc_set(X4)),X2,tc_prod(X3,tc_set(X4)))
| ~ c_in(X1,c_Union(c_Relation_OImage(X2,c_insert(X0,c_emptyset,X3),X3,tc_set(X4)),X4),X4) )
| ~ spl0_489
| ~ spl0_575 ),
inference(resolution,[],[f4579,f3940]) ).
fof(f23070,plain,
( spl0_1065
| ~ spl0_652
| ~ spl0_836 ),
inference(avatar_split_clause,[],[f9897,f9544,f5675,f23068]) ).
fof(f23068,plain,
( spl0_1065
<=> ! [X0] : c_in(X0,c_Message_Oparts(c_Relation_OImage(c_UNIV,c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg,tc_Message_Omsg)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1065])]) ).
fof(f9897,plain,
( ! [X0] : c_in(X0,c_Message_Oparts(c_Relation_OImage(c_UNIV,c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg,tc_Message_Omsg)),tc_Message_Omsg)
| ~ spl0_652
| ~ spl0_836 ),
inference(resolution,[],[f9545,f5676]) ).
fof(f23066,plain,
( spl0_1064
| ~ spl0_488
| ~ spl0_575 ),
inference(avatar_split_clause,[],[f4648,f4578,f3935,f23064]) ).
fof(f23064,plain,
( spl0_1064
<=> ! [X4,X0,X3,X2,X1] :
( c_in(c_Pair(X0,c_Main_OInterI__1(X1,c_Relation_OImage(X2,c_insert(X0,c_emptyset,X3),X3,tc_set(X4)),X4),X3,tc_set(X4)),X2,tc_prod(X3,tc_set(X4)))
| c_in(X1,c_Inter(c_Relation_OImage(X2,c_insert(X0,c_emptyset,X3),X3,tc_set(X4)),X4),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1064])]) ).
fof(f4648,plain,
( ! [X2,X3,X0,X1,X4] :
( c_in(c_Pair(X0,c_Main_OInterI__1(X1,c_Relation_OImage(X2,c_insert(X0,c_emptyset,X3),X3,tc_set(X4)),X4),X3,tc_set(X4)),X2,tc_prod(X3,tc_set(X4)))
| c_in(X1,c_Inter(c_Relation_OImage(X2,c_insert(X0,c_emptyset,X3),X3,tc_set(X4)),X4),X4) )
| ~ spl0_488
| ~ spl0_575 ),
inference(resolution,[],[f4579,f3936]) ).
fof(f22082,plain,
( spl0_1063
| ~ spl0_430
| ~ spl0_836 ),
inference(avatar_split_clause,[],[f9887,f9544,f3600,f22080]) ).
fof(f22080,plain,
( spl0_1063
<=> ! [X0,X1] : c_lessequals(X0,c_Relation_OImage(c_UNIV,c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg,X1),tc_set(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1063])]) ).
fof(f9887,plain,
( ! [X0,X1] : c_lessequals(X0,c_Relation_OImage(c_UNIV,c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg,X1),tc_set(X1))
| ~ spl0_430
| ~ spl0_836 ),
inference(resolution,[],[f9545,f3601]) ).
fof(f22078,plain,
( spl0_1062
| ~ spl0_533
| ~ spl0_613 ),
inference(avatar_split_clause,[],[f5130,f5112,f4285,f22076]) ).
fof(f22076,plain,
( spl0_1062
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(c_Pair(X0,c_List_Olist_OCons(X1,X2,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olistrel(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))
| c_in(c_Main_Olistrel__Cons2__2(X4,X0,X1,X2,X3),c_Relation_ODomain(c_List_Olistrel(X4,X3),tc_List_Olist(X3),tc_List_Olist(X3)),tc_List_Olist(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1062])]) ).
fof(f5130,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(c_Pair(X0,c_List_Olist_OCons(X1,X2,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olistrel(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))
| c_in(c_Main_Olistrel__Cons2__2(X4,X0,X1,X2,X3),c_Relation_ODomain(c_List_Olistrel(X4,X3),tc_List_Olist(X3),tc_List_Olist(X3)),tc_List_Olist(X3)) )
| ~ spl0_533
| ~ spl0_613 ),
inference(resolution,[],[f5113,f4286]) ).
fof(f22074,plain,
( spl0_1061
| ~ spl0_536
| ~ spl0_612 ),
inference(avatar_split_clause,[],[f5122,f5108,f4297,f22072]) ).
fof(f22072,plain,
( spl0_1061
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),X3,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X4,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
| c_in(c_Main_Olistrel__Cons1__2(X4,X3,X0,X1,X2),c_Relation_ORange(c_List_Olistrel(X4,X2),tc_List_Olist(X2),tc_List_Olist(X2)),tc_List_Olist(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1061])]) ).
fof(f5122,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),X3,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X4,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
| c_in(c_Main_Olistrel__Cons1__2(X4,X3,X0,X1,X2),c_Relation_ORange(c_List_Olistrel(X4,X2),tc_List_Olist(X2),tc_List_Olist(X2)),tc_List_Olist(X2)) )
| ~ spl0_536
| ~ spl0_612 ),
inference(resolution,[],[f5109,f4298]) ).
fof(f22070,plain,
( spl0_1060
| ~ spl0_570
| ~ spl0_611 ),
inference(avatar_split_clause,[],[f5086,f5070,f4557,f22068]) ).
fof(f22068,plain,
( spl0_1060
<=> ! [X5,X4,X2,X0,X6,X3,X1] :
( ~ c_in(c_Pair(X0,c_Main_ORangeE__1(X1,X2,X3,X4),X5,X4),X6,tc_prod(X5,X4))
| c_in(c_Pair(X0,X1,X5,X3),c_Relation_Orel__comp(X2,X6,X4,X3,X5),tc_prod(X5,X3))
| ~ c_in(X1,c_Relation_ORange(X2,X4,X3),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1060])]) ).
fof(f5086,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_in(c_Pair(X0,c_Main_ORangeE__1(X1,X2,X3,X4),X5,X4),X6,tc_prod(X5,X4))
| c_in(c_Pair(X0,X1,X5,X3),c_Relation_Orel__comp(X2,X6,X4,X3,X5),tc_prod(X5,X3))
| ~ c_in(X1,c_Relation_ORange(X2,X4,X3),X3) )
| ~ spl0_570
| ~ spl0_611 ),
inference(resolution,[],[f5071,f4558]) ).
fof(f22066,plain,
( spl0_1059
| ~ spl0_569
| ~ spl0_611 ),
inference(avatar_split_clause,[],[f5080,f5070,f4553,f22064]) ).
fof(f22064,plain,
( spl0_1059
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
| c_in(c_Pair(X0,c_Main_ODomainE__1(X1,X5,X3,X6),X2,X6),c_Relation_Orel__comp(X5,X4,X3,X6,X2),tc_prod(X2,X6))
| ~ c_in(X1,c_Relation_ODomain(X5,X3,X6),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1059])]) ).
fof(f5080,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
| c_in(c_Pair(X0,c_Main_ODomainE__1(X1,X5,X3,X6),X2,X6),c_Relation_Orel__comp(X5,X4,X3,X6,X2),tc_prod(X2,X6))
| ~ c_in(X1,c_Relation_ODomain(X5,X3,X6),X3) )
| ~ spl0_569
| ~ spl0_611 ),
inference(resolution,[],[f5071,f4554]) ).
fof(f22062,plain,
( spl0_1058
| ~ spl0_538
| ~ spl0_598 ),
inference(avatar_split_clause,[],[f4922,f4913,f4305,f22060]) ).
fof(f22060,plain,
( spl0_1058
<=> ! [X4,X0,X3,X2,X1] :
( c_Sum__Type_OInr(X1,X2,X3) = c_Sum__Type_OInr(c_Main_OPlusE__2(X0,c_Sum__Type_OInr(X1,X2,X3),X2,X3),X2,X3)
| c_Sum__Type_OInr(X1,X2,X3) = c_Sum__Type_OInl(c_Main_OPlusE__1(X4,c_Sum__Type_OInr(X1,X2,X3),X3,X2),X3,X2)
| ~ c_in(X1,X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1058])]) ).
fof(f4305,plain,
( spl0_538
<=> ! [X13,X12,X27,X2,X1] :
( ~ c_in(X27,X13,X1)
| c_in(c_Sum__Type_OInr(X27,X1,X2),c_Sum__Type_OPlus(X12,X13,X2,X1),tc_sum(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_538])]) ).
fof(f4922,plain,
( ! [X2,X3,X0,X1,X4] :
( c_Sum__Type_OInr(X1,X2,X3) = c_Sum__Type_OInr(c_Main_OPlusE__2(X0,c_Sum__Type_OInr(X1,X2,X3),X2,X3),X2,X3)
| c_Sum__Type_OInr(X1,X2,X3) = c_Sum__Type_OInl(c_Main_OPlusE__1(X4,c_Sum__Type_OInr(X1,X2,X3),X3,X2),X3,X2)
| ~ c_in(X1,X0,X2) )
| ~ spl0_538
| ~ spl0_598 ),
inference(resolution,[],[f4914,f4306]) ).
fof(f4306,plain,
( ! [X2,X1,X27,X12,X13] :
( c_in(c_Sum__Type_OInr(X27,X1,X2),c_Sum__Type_OPlus(X12,X13,X2,X1),tc_sum(X2,X1))
| ~ c_in(X27,X13,X1) )
| ~ spl0_538 ),
inference(avatar_component_clause,[],[f4305]) ).
fof(f22058,plain,
( spl0_1057
| ~ spl0_537
| ~ spl0_598 ),
inference(avatar_split_clause,[],[f4921,f4913,f4301,f22056]) ).
fof(f22056,plain,
( spl0_1057
<=> ! [X4,X0,X3,X2,X1] :
( c_Sum__Type_OInl(X1,X2,X3) = c_Sum__Type_OInr(c_Main_OPlusE__2(X0,c_Sum__Type_OInl(X1,X2,X3),X3,X2),X3,X2)
| c_Sum__Type_OInl(X1,X2,X3) = c_Sum__Type_OInl(c_Main_OPlusE__1(X4,c_Sum__Type_OInl(X1,X2,X3),X2,X3),X2,X3)
| ~ c_in(X1,X4,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1057])]) ).
fof(f4301,plain,
( spl0_537
<=> ! [X18,X13,X12,X2,X1] :
( ~ c_in(X18,X12,X1)
| c_in(c_Sum__Type_OInl(X18,X1,X2),c_Sum__Type_OPlus(X12,X13,X1,X2),tc_sum(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_537])]) ).
fof(f4921,plain,
( ! [X2,X3,X0,X1,X4] :
( c_Sum__Type_OInl(X1,X2,X3) = c_Sum__Type_OInr(c_Main_OPlusE__2(X0,c_Sum__Type_OInl(X1,X2,X3),X3,X2),X3,X2)
| c_Sum__Type_OInl(X1,X2,X3) = c_Sum__Type_OInl(c_Main_OPlusE__1(X4,c_Sum__Type_OInl(X1,X2,X3),X2,X3),X2,X3)
| ~ c_in(X1,X4,X2) )
| ~ spl0_537
| ~ spl0_598 ),
inference(resolution,[],[f4914,f4302]) ).
fof(f4302,plain,
( ! [X2,X18,X1,X12,X13] :
( c_in(c_Sum__Type_OInl(X18,X1,X2),c_Sum__Type_OPlus(X12,X13,X1,X2),tc_sum(X1,X2))
| ~ c_in(X18,X12,X1) )
| ~ spl0_537 ),
inference(avatar_component_clause,[],[f4301]) ).
fof(f22054,plain,
( spl0_1056
| ~ spl0_582
| ~ spl0_590 ),
inference(avatar_split_clause,[],[f4847,f4831,f4706,f22052]) ).
fof(f22052,plain,
( spl0_1056
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_Oconverse(c_Relation_Oconverse(X1,X2,X3),X3,X2),tc_prod(X2,X3))
| c_in(c_Pair(c_Main_OconverseE__2(c_Relation_Oconverse(X1,X2,X3),X0,X3,X2),c_Main_OconverseE__1(c_Relation_Oconverse(X1,X2,X3),X0,X3,X2),X2,X3),X1,tc_prod(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1056])]) ).
fof(f4847,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Relation_Oconverse(c_Relation_Oconverse(X1,X2,X3),X3,X2),tc_prod(X2,X3))
| c_in(c_Pair(c_Main_OconverseE__2(c_Relation_Oconverse(X1,X2,X3),X0,X3,X2),c_Main_OconverseE__1(c_Relation_Oconverse(X1,X2,X3),X0,X3,X2),X2,X3),X1,tc_prod(X2,X3)) )
| ~ spl0_582
| ~ spl0_590 ),
inference(resolution,[],[f4832,f4707]) ).
fof(f22050,plain,
( spl0_1055
| ~ spl0_514
| ~ spl0_570 ),
inference(avatar_split_clause,[],[f4633,f4557,f4093,f22048]) ).
fof(f22048,plain,
( spl0_1055
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_ORange(c_Inter(X1,tc_prod(X2,X3)),X2,X3),X3)
| ~ c_in(X4,X1,tc_set(tc_prod(X2,X3)))
| c_in(c_Pair(c_Main_ORangeE__1(X0,c_Inter(X1,tc_prod(X2,X3)),X3,X2),X0,X2,X3),X4,tc_prod(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1055])]) ).
fof(f4633,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Relation_ORange(c_Inter(X1,tc_prod(X2,X3)),X2,X3),X3)
| ~ c_in(X4,X1,tc_set(tc_prod(X2,X3)))
| c_in(c_Pair(c_Main_ORangeE__1(X0,c_Inter(X1,tc_prod(X2,X3)),X3,X2),X0,X2,X3),X4,tc_prod(X2,X3)) )
| ~ spl0_514
| ~ spl0_570 ),
inference(resolution,[],[f4558,f4094]) ).
fof(f22046,plain,
( spl0_1054
| ~ spl0_514
| ~ spl0_569 ),
inference(avatar_split_clause,[],[f4608,f4553,f4093,f22044]) ).
fof(f22044,plain,
( spl0_1054
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_ODomain(c_Inter(X1,tc_prod(X2,X3)),X2,X3),X2)
| ~ c_in(X4,X1,tc_set(tc_prod(X2,X3)))
| c_in(c_Pair(X0,c_Main_ODomainE__1(X0,c_Inter(X1,tc_prod(X2,X3)),X2,X3),X2,X3),X4,tc_prod(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1054])]) ).
fof(f4608,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Relation_ODomain(c_Inter(X1,tc_prod(X2,X3)),X2,X3),X2)
| ~ c_in(X4,X1,tc_set(tc_prod(X2,X3)))
| c_in(c_Pair(X0,c_Main_ODomainE__1(X0,c_Inter(X1,tc_prod(X2,X3)),X2,X3),X2,X3),X4,tc_prod(X2,X3)) )
| ~ spl0_514
| ~ spl0_569 ),
inference(resolution,[],[f4554,f4094]) ).
fof(f21996,plain,
( spl0_1053
| ~ spl0_678
| ~ spl0_737 ),
inference(avatar_split_clause,[],[f7450,f6964,f6109,f21994]) ).
fof(f21994,plain,
( spl0_1053
<=> ! [X2,X0,X1] : c_lessequals(X0,c_insert(X1,c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,X2),X2),tc_set(X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1053])]) ).
fof(f6109,plain,
( spl0_678
<=> ! [X0,X1] : c_in(X0,c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_678])]) ).
fof(f6964,plain,
( spl0_737
<=> ! [X0,X3,X2,X1] :
( c_lessequals(X0,c_insert(X1,X2,X3),tc_set(X3))
| ~ c_in(c_Main_OsubsetI__1(X0,c_insert(X1,X2,X3),X3),X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_737])]) ).
fof(f7450,plain,
( ! [X2,X0,X1] : c_lessequals(X0,c_insert(X1,c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,X2),X2),tc_set(X2))
| ~ spl0_678
| ~ spl0_737 ),
inference(resolution,[],[f6965,f6110]) ).
fof(f6110,plain,
( ! [X0,X1] : c_in(X0,c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,X1),X1)
| ~ spl0_678 ),
inference(avatar_component_clause,[],[f6109]) ).
fof(f6965,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_insert(X1,X2,X3),X3),X2,X3)
| c_lessequals(X0,c_insert(X1,X2,X3),tc_set(X3)) )
| ~ spl0_737 ),
inference(avatar_component_clause,[],[f6964]) ).
fof(f21398,plain,
( spl0_1052
| ~ spl0_678
| ~ spl0_736 ),
inference(avatar_split_clause,[],[f7403,f6960,f6109,f21396]) ).
fof(f21396,plain,
( spl0_1052
<=> ! [X2,X0,X1] : c_lessequals(X0,c_union(X1,c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,X2),X2),tc_set(X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1052])]) ).
fof(f6960,plain,
( spl0_736
<=> ! [X0,X3,X2,X1] :
( c_lessequals(X0,c_union(X1,X2,X3),tc_set(X3))
| ~ c_in(c_Main_OsubsetI__1(X0,c_union(X1,X2,X3),X3),X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_736])]) ).
fof(f7403,plain,
( ! [X2,X0,X1] : c_lessequals(X0,c_union(X1,c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,X2),X2),tc_set(X2))
| ~ spl0_678
| ~ spl0_736 ),
inference(resolution,[],[f6961,f6110]) ).
fof(f6961,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_union(X1,X2,X3),X3),X2,X3)
| c_lessequals(X0,c_union(X1,X2,X3),tc_set(X3)) )
| ~ spl0_736 ),
inference(avatar_component_clause,[],[f6960]) ).
fof(f20758,plain,
( spl0_1051
| ~ spl0_678
| ~ spl0_735 ),
inference(avatar_split_clause,[],[f7356,f6956,f6109,f20756]) ).
fof(f20756,plain,
( spl0_1051
<=> ! [X2,X0,X1] : c_lessequals(X0,c_union(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,X1),X2,X1),tc_set(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1051])]) ).
fof(f6956,plain,
( spl0_735
<=> ! [X0,X3,X2,X1] :
( c_lessequals(X0,c_union(X1,X2,X3),tc_set(X3))
| ~ c_in(c_Main_OsubsetI__1(X0,c_union(X1,X2,X3),X3),X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_735])]) ).
fof(f7356,plain,
( ! [X2,X0,X1] : c_lessequals(X0,c_union(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,X1),X2,X1),tc_set(X1))
| ~ spl0_678
| ~ spl0_735 ),
inference(resolution,[],[f6957,f6110]) ).
fof(f6957,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_union(X1,X2,X3),X3),X1,X3)
| c_lessequals(X0,c_union(X1,X2,X3),tc_set(X3)) )
| ~ spl0_735 ),
inference(avatar_component_clause,[],[f6956]) ).
fof(f20754,plain,
( spl0_1050
| ~ spl0_577
| ~ spl0_606 ),
inference(avatar_split_clause,[],[f5019,f4978,f4660,f20752]) ).
fof(f20752,plain,
( spl0_1050
<=> ! [X3,X4,X0,X6,X5,X2,X1] :
( ~ c_in(X0,c_Relation_Orel__comp(X1,X2,X3,X4,X5),tc_prod(X5,X4))
| c_in(c_Main_Orel__compE__2(X1,X2,X0,X3,X4,X5),c_Relation_OImage(X2,X6,X5,X3),X3)
| ~ c_in(c_Main_Orel__compE__1(X1,X2,X0,X3,X4,X5),X6,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1050])]) ).
fof(f5019,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_in(X0,c_Relation_Orel__comp(X1,X2,X3,X4,X5),tc_prod(X5,X4))
| c_in(c_Main_Orel__compE__2(X1,X2,X0,X3,X4,X5),c_Relation_OImage(X2,X6,X5,X3),X3)
| ~ c_in(c_Main_Orel__compE__1(X1,X2,X0,X3,X4,X5),X6,X5) )
| ~ spl0_577
| ~ spl0_606 ),
inference(resolution,[],[f4979,f4661]) ).
fof(f20750,plain,
( spl0_1049
| ~ spl0_577
| ~ spl0_605 ),
inference(avatar_split_clause,[],[f4989,f4974,f4660,f20748]) ).
fof(f20748,plain,
( spl0_1049
<=> ! [X3,X4,X0,X6,X5,X2,X1] :
( ~ c_in(X0,c_Relation_Orel__comp(X1,X2,X3,X4,X5),tc_prod(X5,X4))
| c_in(c_Main_Orel__compE__3(X1,X2,X0,X3,X4,X5),c_Relation_OImage(X1,X6,X3,X4),X4)
| ~ c_in(c_Main_Orel__compE__2(X1,X2,X0,X3,X4,X5),X6,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1049])]) ).
fof(f4989,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_in(X0,c_Relation_Orel__comp(X1,X2,X3,X4,X5),tc_prod(X5,X4))
| c_in(c_Main_Orel__compE__3(X1,X2,X0,X3,X4,X5),c_Relation_OImage(X1,X6,X3,X4),X4)
| ~ c_in(c_Main_Orel__compE__2(X1,X2,X0,X3,X4,X5),X6,X3) )
| ~ spl0_577
| ~ spl0_605 ),
inference(resolution,[],[f4975,f4661]) ).
fof(f20746,plain,
( spl0_1048
| ~ spl0_567
| ~ spl0_604 ),
inference(avatar_split_clause,[],[f4982,f4970,f4545,f20744]) ).
fof(f20744,plain,
( spl0_1048
<=> ! [X4,X0,X3,X2,X1] :
( c_in(c_Main_OusumE__2(X0,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),X0,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_in(c_Main_OusumE__1(X4,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ c_in(X1,X0,tc_set(tc_Datatype__Universe_Onode(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1048])]) ).
fof(f4982,plain,
( ! [X2,X3,X0,X1,X4] :
( c_in(c_Main_OusumE__2(X0,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),X0,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_in(c_Main_OusumE__1(X4,c_Datatype__Universe_OIn1(X1,X2,X3),X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ c_in(X1,X0,tc_set(tc_Datatype__Universe_Onode(X2,X3))) )
| ~ spl0_567
| ~ spl0_604 ),
inference(resolution,[],[f4971,f4546]) ).
fof(f20742,plain,
( spl0_1047
| ~ spl0_566
| ~ spl0_604 ),
inference(avatar_split_clause,[],[f4981,f4970,f4541,f20740]) ).
fof(f20740,plain,
( spl0_1047
<=> ! [X4,X0,X3,X2,X1] :
( c_in(c_Main_OusumE__2(X0,c_Datatype__Universe_OIn0(X1,X2,X3),X2,X3),X0,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_in(c_Main_OusumE__1(X4,c_Datatype__Universe_OIn0(X1,X2,X3),X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ c_in(X1,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1047])]) ).
fof(f4981,plain,
( ! [X2,X3,X0,X1,X4] :
( c_in(c_Main_OusumE__2(X0,c_Datatype__Universe_OIn0(X1,X2,X3),X2,X3),X0,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_in(c_Main_OusumE__1(X4,c_Datatype__Universe_OIn0(X1,X2,X3),X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ c_in(X1,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3))) )
| ~ spl0_566
| ~ spl0_604 ),
inference(resolution,[],[f4971,f4542]) ).
fof(f20738,plain,
( spl0_1046
| ~ spl0_585
| ~ spl0_590 ),
inference(avatar_split_clause,[],[f4848,f4831,f4794,f20736]) ).
fof(f20736,plain,
( spl0_1046
<=> ! [X2,X0,X1] :
( ~ c_in(X0,c_Relation_Oconverse(c_Transitive__Closure_Otrancl(X1,X2),X2,X2),tc_prod(X2,X2))
| c_in(c_Pair(c_Main_OconverseE__1(c_Transitive__Closure_Otrancl(X1,X2),X0,X2,X2),c_Main_OconverseE__2(c_Transitive__Closure_Otrancl(X1,X2),X0,X2,X2),X2,X2),c_Transitive__Closure_Ortrancl(X1,X2),tc_prod(X2,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1046])]) ).
fof(f4848,plain,
( ! [X2,X0,X1] :
( ~ c_in(X0,c_Relation_Oconverse(c_Transitive__Closure_Otrancl(X1,X2),X2,X2),tc_prod(X2,X2))
| c_in(c_Pair(c_Main_OconverseE__1(c_Transitive__Closure_Otrancl(X1,X2),X0,X2,X2),c_Main_OconverseE__2(c_Transitive__Closure_Otrancl(X1,X2),X0,X2,X2),X2,X2),c_Transitive__Closure_Ortrancl(X1,X2),tc_prod(X2,X2)) )
| ~ spl0_585
| ~ spl0_590 ),
inference(resolution,[],[f4832,f4795]) ).
fof(f20734,plain,
( spl0_1045
| ~ spl0_447
| ~ spl0_581 ),
inference(avatar_split_clause,[],[f4781,f4702,f3669,f20732]) ).
fof(f20732,plain,
( spl0_1045
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_OImage(c_SetInterval_OgreaterThan(X1,tc_prod(X2,X3)),X4,X2,X3),X3)
| c_less(X1,c_Pair(c_Main_OImageE__1(X4,X0,c_SetInterval_OgreaterThan(X1,tc_prod(X2,X3)),X2,X3),X0,X2,X3),tc_prod(X2,X3))
| ~ class_Orderings_Oord(tc_prod(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1045])]) ).
fof(f4781,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Relation_OImage(c_SetInterval_OgreaterThan(X1,tc_prod(X2,X3)),X4,X2,X3),X3)
| c_less(X1,c_Pair(c_Main_OImageE__1(X4,X0,c_SetInterval_OgreaterThan(X1,tc_prod(X2,X3)),X2,X3),X0,X2,X3),tc_prod(X2,X3))
| ~ class_Orderings_Oord(tc_prod(X2,X3)) )
| ~ spl0_447
| ~ spl0_581 ),
inference(resolution,[],[f4703,f3670]) ).
fof(f20730,plain,
( spl0_1044
| ~ spl0_441
| ~ spl0_581 ),
inference(avatar_split_clause,[],[f4780,f4702,f3645,f20728]) ).
fof(f20728,plain,
( spl0_1044
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_OImage(c_SetInterval_OatLeast(X1,tc_prod(X2,X3)),X4,X2,X3),X3)
| c_lessequals(X1,c_Pair(c_Main_OImageE__1(X4,X0,c_SetInterval_OatLeast(X1,tc_prod(X2,X3)),X2,X3),X0,X2,X3),tc_prod(X2,X3))
| ~ class_Orderings_Oord(tc_prod(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1044])]) ).
fof(f4780,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Relation_OImage(c_SetInterval_OatLeast(X1,tc_prod(X2,X3)),X4,X2,X3),X3)
| c_lessequals(X1,c_Pair(c_Main_OImageE__1(X4,X0,c_SetInterval_OatLeast(X1,tc_prod(X2,X3)),X2,X3),X0,X2,X3),tc_prod(X2,X3))
| ~ class_Orderings_Oord(tc_prod(X2,X3)) )
| ~ spl0_441
| ~ spl0_581 ),
inference(resolution,[],[f4703,f3646]) ).
fof(f20726,plain,
( spl0_1043
| ~ spl0_453
| ~ spl0_581 ),
inference(avatar_split_clause,[],[f4778,f4702,f3693,f20724]) ).
fof(f20724,plain,
( spl0_1043
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ c_in(X0,c_Relation_OImage(c_minus(X1,X2,tc_set(tc_prod(X3,X4))),X5,X3,X4),X4)
| ~ c_in(c_Pair(c_Main_OImageE__1(X5,X0,c_minus(X1,X2,tc_set(tc_prod(X3,X4))),X3,X4),X0,X3,X4),X2,tc_prod(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1043])]) ).
fof(f4778,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Relation_OImage(c_minus(X1,X2,tc_set(tc_prod(X3,X4))),X5,X3,X4),X4)
| ~ c_in(c_Pair(c_Main_OImageE__1(X5,X0,c_minus(X1,X2,tc_set(tc_prod(X3,X4))),X3,X4),X0,X3,X4),X2,tc_prod(X3,X4)) )
| ~ spl0_453
| ~ spl0_581 ),
inference(resolution,[],[f4703,f3694]) ).
fof(f20722,plain,
( spl0_1042
| ~ spl0_454
| ~ spl0_581 ),
inference(avatar_split_clause,[],[f4777,f4702,f3697,f20720]) ).
fof(f20720,plain,
( spl0_1042
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ c_in(X0,c_Relation_OImage(c_minus(X1,X2,tc_set(tc_prod(X3,X4))),X5,X3,X4),X4)
| c_in(c_Pair(c_Main_OImageE__1(X5,X0,c_minus(X1,X2,tc_set(tc_prod(X3,X4))),X3,X4),X0,X3,X4),X1,tc_prod(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1042])]) ).
fof(f4777,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Relation_OImage(c_minus(X1,X2,tc_set(tc_prod(X3,X4))),X5,X3,X4),X4)
| c_in(c_Pair(c_Main_OImageE__1(X5,X0,c_minus(X1,X2,tc_set(tc_prod(X3,X4))),X3,X4),X0,X3,X4),X1,tc_prod(X3,X4)) )
| ~ spl0_454
| ~ spl0_581 ),
inference(resolution,[],[f4703,f3698]) ).
fof(f20718,plain,
( spl0_1041
| ~ spl0_450
| ~ spl0_581 ),
inference(avatar_split_clause,[],[f4774,f4702,f3681,f20716]) ).
fof(f20716,plain,
( spl0_1041
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_OImage(c_SetInterval_OlessThan(X1,tc_prod(X2,X3)),X4,X2,X3),X3)
| c_less(c_Pair(c_Main_OImageE__1(X4,X0,c_SetInterval_OlessThan(X1,tc_prod(X2,X3)),X2,X3),X0,X2,X3),X1,tc_prod(X2,X3))
| ~ class_Orderings_Oord(tc_prod(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1041])]) ).
fof(f4774,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Relation_OImage(c_SetInterval_OlessThan(X1,tc_prod(X2,X3)),X4,X2,X3),X3)
| c_less(c_Pair(c_Main_OImageE__1(X4,X0,c_SetInterval_OlessThan(X1,tc_prod(X2,X3)),X2,X3),X0,X2,X3),X1,tc_prod(X2,X3))
| ~ class_Orderings_Oord(tc_prod(X2,X3)) )
| ~ spl0_450
| ~ spl0_581 ),
inference(resolution,[],[f4703,f3682]) ).
fof(f20714,plain,
( spl0_1040
| ~ spl0_678
| ~ spl0_733 ),
inference(avatar_split_clause,[],[f7248,f6948,f6109,f20712]) ).
fof(f6948,plain,
( spl0_733
<=> ! [X2,X0,X1] :
( c_lessequals(c_uminus(X0,tc_set(X1)),X2,tc_set(X1))
| ~ c_in(c_Main_OsubsetI__1(c_uminus(X0,tc_set(X1)),X2,X1),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_733])]) ).
fof(f7248,plain,
( ! [X0,X1] : c_lessequals(c_uminus(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,X0),tc_set(X0)),X1,tc_set(X0))
| ~ spl0_678
| ~ spl0_733 ),
inference(resolution,[],[f6949,f6110]) ).
fof(f6949,plain,
( ! [X2,X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(c_uminus(X0,tc_set(X1)),X2,X1),X0,X1)
| c_lessequals(c_uminus(X0,tc_set(X1)),X2,tc_set(X1)) )
| ~ spl0_733 ),
inference(avatar_component_clause,[],[f6948]) ).
fof(f20710,plain,
( spl0_1039
| ~ spl0_444
| ~ spl0_581 ),
inference(avatar_split_clause,[],[f4773,f4702,f3657,f20708]) ).
fof(f20708,plain,
( spl0_1039
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_OImage(c_SetInterval_OatMost(X1,tc_prod(X2,X3)),X4,X2,X3),X3)
| c_lessequals(c_Pair(c_Main_OImageE__1(X4,X0,c_SetInterval_OatMost(X1,tc_prod(X2,X3)),X2,X3),X0,X2,X3),X1,tc_prod(X2,X3))
| ~ class_Orderings_Oord(tc_prod(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1039])]) ).
fof(f4773,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Relation_OImage(c_SetInterval_OatMost(X1,tc_prod(X2,X3)),X4,X2,X3),X3)
| c_lessequals(c_Pair(c_Main_OImageE__1(X4,X0,c_SetInterval_OatMost(X1,tc_prod(X2,X3)),X2,X3),X0,X2,X3),X1,tc_prod(X2,X3))
| ~ class_Orderings_Oord(tc_prod(X2,X3)) )
| ~ spl0_444
| ~ spl0_581 ),
inference(resolution,[],[f4703,f3658]) ).
fof(f20706,plain,
( spl0_1038
| ~ spl0_410
| ~ spl0_580 ),
inference(avatar_split_clause,[],[f4741,f4698,f3501,f20704]) ).
fof(f20704,plain,
( spl0_1038
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(c_uminus(X1,tc_set(tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ c_in(c_Main_OuprodE__1(c_uminus(X1,tc_set(tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X4,X0,X2,X3),X1,tc_set(tc_Datatype__Universe_Onode(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1038])]) ).
fof(f4741,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(c_uminus(X1,tc_set(tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ c_in(c_Main_OuprodE__1(c_uminus(X1,tc_set(tc_set(tc_Datatype__Universe_Onode(X2,X3)))),X4,X0,X2,X3),X1,tc_set(tc_Datatype__Universe_Onode(X2,X3))) )
| ~ spl0_410
| ~ spl0_580 ),
inference(resolution,[],[f4699,f3502]) ).
fof(f20702,plain,
( spl0_1037
| ~ spl0_413
| ~ spl0_580 ),
inference(avatar_split_clause,[],[f4739,f4698,f3513,f20700]) ).
fof(f20700,plain,
( spl0_1037
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(c_inter(X1,X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_in(c_Main_OuprodE__1(c_inter(X1,X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X5,X0,X3,X4),X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1037])]) ).
fof(f4739,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(c_inter(X1,X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_in(c_Main_OuprodE__1(c_inter(X1,X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X5,X0,X3,X4),X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))) )
| ~ spl0_413
| ~ spl0_580 ),
inference(resolution,[],[f4699,f3514]) ).
fof(f20698,plain,
( spl0_1036
| ~ spl0_414
| ~ spl0_580 ),
inference(avatar_split_clause,[],[f4738,f4698,f3517,f20696]) ).
fof(f20696,plain,
( spl0_1036
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(c_inter(X1,X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_in(c_Main_OuprodE__1(c_inter(X1,X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X5,X0,X3,X4),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1036])]) ).
fof(f4738,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(c_inter(X1,X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X5,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_in(c_Main_OuprodE__1(c_inter(X1,X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X5,X0,X3,X4),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4))) )
| ~ spl0_414
| ~ spl0_580 ),
inference(resolution,[],[f4699,f3518]) ).
fof(f20694,plain,
( spl0_1035
| ~ spl0_410
| ~ spl0_579 ),
inference(avatar_split_clause,[],[f4721,f4694,f3501,f20692]) ).
fof(f20692,plain,
( spl0_1035
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(X1,c_uminus(X2,tc_set(tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ c_in(c_Main_OuprodE__2(X1,c_uminus(X2,tc_set(tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X0,X3,X4),X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1035])]) ).
fof(f4721,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(X1,c_uminus(X2,tc_set(tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ c_in(c_Main_OuprodE__2(X1,c_uminus(X2,tc_set(tc_set(tc_Datatype__Universe_Onode(X3,X4)))),X0,X3,X4),X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))) )
| ~ spl0_410
| ~ spl0_579 ),
inference(resolution,[],[f4695,f3502]) ).
fof(f20690,plain,
( spl0_1034
| ~ spl0_413
| ~ spl0_579 ),
inference(avatar_split_clause,[],[f4719,f4694,f3513,f20688]) ).
fof(f20688,plain,
( spl0_1034
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(X1,c_inter(X2,X3,tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)))
| c_in(c_Main_OuprodE__2(X1,c_inter(X2,X3,tc_set(tc_Datatype__Universe_Onode(X4,X5))),X0,X4,X5),X3,tc_set(tc_Datatype__Universe_Onode(X4,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1034])]) ).
fof(f4719,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(X1,c_inter(X2,X3,tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)))
| c_in(c_Main_OuprodE__2(X1,c_inter(X2,X3,tc_set(tc_Datatype__Universe_Onode(X4,X5))),X0,X4,X5),X3,tc_set(tc_Datatype__Universe_Onode(X4,X5))) )
| ~ spl0_413
| ~ spl0_579 ),
inference(resolution,[],[f4695,f3514]) ).
fof(f20686,plain,
( spl0_1033
| ~ spl0_414
| ~ spl0_579 ),
inference(avatar_split_clause,[],[f4718,f4694,f3517,f20684]) ).
fof(f20684,plain,
( spl0_1033
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(X1,c_inter(X2,X3,tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)))
| c_in(c_Main_OuprodE__2(X1,c_inter(X2,X3,tc_set(tc_Datatype__Universe_Onode(X4,X5))),X0,X4,X5),X2,tc_set(tc_Datatype__Universe_Onode(X4,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1033])]) ).
fof(f4718,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(X1,c_inter(X2,X3,tc_set(tc_Datatype__Universe_Onode(X4,X5))),X4,X5),tc_set(tc_Datatype__Universe_Onode(X4,X5)))
| c_in(c_Main_OuprodE__2(X1,c_inter(X2,X3,tc_set(tc_Datatype__Universe_Onode(X4,X5))),X0,X4,X5),X2,tc_set(tc_Datatype__Universe_Onode(X4,X5))) )
| ~ spl0_414
| ~ spl0_579 ),
inference(resolution,[],[f4695,f3518]) ).
fof(f20682,plain,
( spl0_1032
| ~ spl0_472
| ~ spl0_577 ),
inference(avatar_split_clause,[],[f4681,f4660,f3846,f20680]) ).
fof(f20680,plain,
( spl0_1032
<=> ! [X3,X4,X0,X5,X2,X1] :
( c_in(X0,c_Relation_OImage(c_Main_OUnionE__1(c_Pair(X1,X0,X2,X3),X4,tc_prod(X2,X3)),X5,X2,X3),X3)
| ~ c_in(X1,X5,X2)
| ~ c_in(c_Pair(X1,X0,X2,X3),c_Union(X4,tc_prod(X2,X3)),tc_prod(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1032])]) ).
fof(f4681,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( c_in(X0,c_Relation_OImage(c_Main_OUnionE__1(c_Pair(X1,X0,X2,X3),X4,tc_prod(X2,X3)),X5,X2,X3),X3)
| ~ c_in(X1,X5,X2)
| ~ c_in(c_Pair(X1,X0,X2,X3),c_Union(X4,tc_prod(X2,X3)),tc_prod(X2,X3)) )
| ~ spl0_472
| ~ spl0_577 ),
inference(resolution,[],[f4661,f3847]) ).
fof(f20678,plain,
( spl0_1031
| ~ spl0_453
| ~ spl0_564 ),
inference(avatar_split_clause,[],[f4534,f4512,f3693,f20676]) ).
fof(f20676,plain,
( spl0_1031
<=> ! [X2,X0,X1] :
( c_in(c_Union(c_minus(X0,X1,tc_set(tc_set(X2))),X2),c_Finite__Set_OFinites,tc_set(X2))
| ~ c_in(c_minus(X0,X1,tc_set(tc_set(X2))),c_Finite__Set_OFinites,tc_set(tc_set(X2)))
| ~ c_in(c_Main_Ofinite__Union__1(c_minus(X0,X1,tc_set(tc_set(X2))),X2),X1,tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1031])]) ).
fof(f4534,plain,
( ! [X2,X0,X1] :
( c_in(c_Union(c_minus(X0,X1,tc_set(tc_set(X2))),X2),c_Finite__Set_OFinites,tc_set(X2))
| ~ c_in(c_minus(X0,X1,tc_set(tc_set(X2))),c_Finite__Set_OFinites,tc_set(tc_set(X2)))
| ~ c_in(c_Main_Ofinite__Union__1(c_minus(X0,X1,tc_set(tc_set(X2))),X2),X1,tc_set(X2)) )
| ~ spl0_453
| ~ spl0_564 ),
inference(resolution,[],[f4513,f3694]) ).
fof(f20674,plain,
( spl0_1030
| ~ spl0_454
| ~ spl0_564 ),
inference(avatar_split_clause,[],[f4533,f4512,f3697,f20672]) ).
fof(f20672,plain,
( spl0_1030
<=> ! [X2,X0,X1] :
( c_in(c_Union(c_minus(X0,X1,tc_set(tc_set(X2))),X2),c_Finite__Set_OFinites,tc_set(X2))
| ~ c_in(c_minus(X0,X1,tc_set(tc_set(X2))),c_Finite__Set_OFinites,tc_set(tc_set(X2)))
| c_in(c_Main_Ofinite__Union__1(c_minus(X0,X1,tc_set(tc_set(X2))),X2),X0,tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1030])]) ).
fof(f4533,plain,
( ! [X2,X0,X1] :
( c_in(c_Union(c_minus(X0,X1,tc_set(tc_set(X2))),X2),c_Finite__Set_OFinites,tc_set(X2))
| ~ c_in(c_minus(X0,X1,tc_set(tc_set(X2))),c_Finite__Set_OFinites,tc_set(tc_set(X2)))
| c_in(c_Main_Ofinite__Union__1(c_minus(X0,X1,tc_set(tc_set(X2))),X2),X0,tc_set(X2)) )
| ~ spl0_454
| ~ spl0_564 ),
inference(resolution,[],[f4513,f3698]) ).
fof(f20670,plain,
( spl0_1029
| ~ spl0_678
| ~ spl0_710 ),
inference(avatar_split_clause,[],[f6683,f6579,f6109,f20668]) ).
fof(f20668,plain,
( spl0_1029
<=> ! [X0] : c_in(X0,c_List_Olists(c_Message_Oparts(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)),tc_Message_Omsg),tc_List_Olist(tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1029])]) ).
fof(f6579,plain,
( spl0_710
<=> ! [X0,X1] :
( c_in(X0,c_List_Olists(c_Message_Oparts(X1),tc_Message_Omsg),tc_List_Olist(tc_Message_Omsg))
| ~ c_in(c_Main_Oin__listsI__1(c_Message_Oparts(X1),X0,tc_Message_Omsg),X1,tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_710])]) ).
fof(f6683,plain,
( ! [X0] : c_in(X0,c_List_Olists(c_Message_Oparts(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)),tc_Message_Omsg),tc_List_Olist(tc_Message_Omsg))
| ~ spl0_678
| ~ spl0_710 ),
inference(resolution,[],[f6580,f6110]) ).
fof(f6580,plain,
( ! [X0,X1] :
( ~ c_in(c_Main_Oin__listsI__1(c_Message_Oparts(X1),X0,tc_Message_Omsg),X1,tc_Message_Omsg)
| c_in(X0,c_List_Olists(c_Message_Oparts(X1),tc_Message_Omsg),tc_List_Olist(tc_Message_Omsg)) )
| ~ spl0_710 ),
inference(avatar_component_clause,[],[f6579]) ).
fof(f20666,plain,
( spl0_1028
| ~ spl0_514
| ~ spl0_564 ),
inference(avatar_split_clause,[],[f4531,f4512,f4093,f20664]) ).
fof(f20664,plain,
( spl0_1028
<=> ! [X2,X0,X1] :
( c_in(c_Union(c_Inter(X0,tc_set(X1)),X1),c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(c_Inter(X0,tc_set(X1)),c_Finite__Set_OFinites,tc_set(tc_set(X1)))
| ~ c_in(X2,X0,tc_set(tc_set(X1)))
| c_in(c_Main_Ofinite__Union__1(c_Inter(X0,tc_set(X1)),X1),X2,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1028])]) ).
fof(f4531,plain,
( ! [X2,X0,X1] :
( c_in(c_Union(c_Inter(X0,tc_set(X1)),X1),c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(c_Inter(X0,tc_set(X1)),c_Finite__Set_OFinites,tc_set(tc_set(X1)))
| ~ c_in(X2,X0,tc_set(tc_set(X1)))
| c_in(c_Main_Ofinite__Union__1(c_Inter(X0,tc_set(X1)),X1),X2,tc_set(X1)) )
| ~ spl0_514
| ~ spl0_564 ),
inference(resolution,[],[f4513,f4094]) ).
fof(f19924,plain,
( spl0_1027
| ~ spl0_678
| ~ spl0_709 ),
inference(avatar_split_clause,[],[f6653,f6575,f6109,f19922]) ).
fof(f19922,plain,
( spl0_1027
<=> ! [X0] : c_in(X0,c_List_Olists(c_Message_Oanalz(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)),tc_Message_Omsg),tc_List_Olist(tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1027])]) ).
fof(f6575,plain,
( spl0_709
<=> ! [X0,X1] :
( c_in(X0,c_List_Olists(c_Message_Oanalz(X1),tc_Message_Omsg),tc_List_Olist(tc_Message_Omsg))
| ~ c_in(c_Main_Oin__listsI__1(c_Message_Oanalz(X1),X0,tc_Message_Omsg),X1,tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_709])]) ).
fof(f6653,plain,
( ! [X0] : c_in(X0,c_List_Olists(c_Message_Oanalz(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)),tc_Message_Omsg),tc_List_Olist(tc_Message_Omsg))
| ~ spl0_678
| ~ spl0_709 ),
inference(resolution,[],[f6576,f6110]) ).
fof(f6576,plain,
( ! [X0,X1] :
( ~ c_in(c_Main_Oin__listsI__1(c_Message_Oanalz(X1),X0,tc_Message_Omsg),X1,tc_Message_Omsg)
| c_in(X0,c_List_Olists(c_Message_Oanalz(X1),tc_Message_Omsg),tc_List_Olist(tc_Message_Omsg)) )
| ~ spl0_709 ),
inference(avatar_component_clause,[],[f6575]) ).
fof(f19920,plain,
( spl0_1026
| ~ spl0_328
| ~ spl0_611 ),
inference(avatar_split_clause,[],[f5094,f5070,f3084,f19918]) ).
fof(f19918,plain,
( spl0_1026
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
| c_in(c_Pair(X0,X5,X2,X6),c_Relation_Orel__comp(c_insert(c_Pair(X1,X5,X3,X6),X7,tc_prod(X3,X6)),X4,X3,X6,X2),tc_prod(X2,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1026])]) ).
fof(f3084,plain,
( spl0_328
<=> ! [X13,X0,X1] : c_in(X0,c_insert(X0,X13,X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_328])]) ).
fof(f5094,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
| c_in(c_Pair(X0,X5,X2,X6),c_Relation_Orel__comp(c_insert(c_Pair(X1,X5,X3,X6),X7,tc_prod(X3,X6)),X4,X3,X6,X2),tc_prod(X2,X6)) )
| ~ spl0_328
| ~ spl0_611 ),
inference(resolution,[],[f5071,f3085]) ).
fof(f3085,plain,
( ! [X0,X1,X13] : c_in(X0,c_insert(X0,X13,X1),X1)
| ~ spl0_328 ),
inference(avatar_component_clause,[],[f3084]) ).
fof(f19916,plain,
( spl0_1025
| ~ spl0_500
| ~ spl0_590 ),
inference(avatar_split_clause,[],[f4862,f4831,f4037,f19914]) ).
fof(f19914,plain,
( spl0_1025
<=> ! [X2,X0,X1] :
( ~ c_in(X0,c_Relation_Oconverse(c_Relation_Odiag(X1,X2),X2,X2),tc_prod(X2,X2))
| c_in(c_Main_OdiagE__1(X1,c_Pair(c_Main_OconverseE__1(c_Relation_Odiag(X1,X2),X0,X2,X2),c_Main_OconverseE__2(c_Relation_Odiag(X1,X2),X0,X2,X2),X2,X2),X2),X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1025])]) ).
fof(f4862,plain,
( ! [X2,X0,X1] :
( ~ c_in(X0,c_Relation_Oconverse(c_Relation_Odiag(X1,X2),X2,X2),tc_prod(X2,X2))
| c_in(c_Main_OdiagE__1(X1,c_Pair(c_Main_OconverseE__1(c_Relation_Odiag(X1,X2),X0,X2,X2),c_Main_OconverseE__2(c_Relation_Odiag(X1,X2),X0,X2,X2),X2,X2),X2),X1,X2) )
| ~ spl0_500
| ~ spl0_590 ),
inference(resolution,[],[f4832,f4038]) ).
fof(f19912,plain,
( spl0_1024
| ~ spl0_407
| ~ spl0_580 ),
inference(avatar_split_clause,[],[f4747,f4698,f3489,f19910]) ).
fof(f19910,plain,
( spl0_1024
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(c_Datatype_Oo2s(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_Datatype_Ooption_OSome(c_Main_OuprodE__1(c_Datatype_Oo2s(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X0,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1024])]) ).
fof(f4747,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(c_Datatype_Oo2s(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_Datatype_Ooption_OSome(c_Main_OuprodE__1(c_Datatype_Oo2s(X1,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X0,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) = X1 )
| ~ spl0_407
| ~ spl0_580 ),
inference(resolution,[],[f4699,f3490]) ).
fof(f19908,plain,
( spl0_1023
| ~ spl0_407
| ~ spl0_579 ),
inference(avatar_split_clause,[],[f4727,f4694,f3489,f19906]) ).
fof(f19906,plain,
( spl0_1023
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(X1,c_Datatype_Oo2s(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_Datatype_Ooption_OSome(c_Main_OuprodE__2(X1,c_Datatype_Oo2s(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1023])]) ).
fof(f4727,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(X1,c_Datatype_Oo2s(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_Datatype_Ooption_OSome(c_Main_OuprodE__2(X1,c_Datatype_Oo2s(X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X0,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) = X2 )
| ~ spl0_407
| ~ spl0_579 ),
inference(resolution,[],[f4695,f3490]) ).
fof(f19904,plain,
( spl0_1022
| ~ spl0_486
| ~ spl0_576 ),
inference(avatar_split_clause,[],[f4657,f4582,f3927,f19902]) ).
fof(f19902,plain,
( spl0_1022
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(c_Pair(X0,c_Main_Oin__listsI__1(c_Relation_OImage(X1,c_insert(X0,c_emptyset,X2),X2,X3),X4,X3),X2,X3),X1,tc_prod(X2,X3))
| c_in(X4,c_List_Olists(c_Relation_OImage(X1,c_insert(X0,c_emptyset,X2),X2,X3),X3),tc_List_Olist(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1022])]) ).
fof(f3927,plain,
( spl0_486
<=> ! [X12,X1,X23] :
( ~ c_in(c_Main_Oin__listsI__1(X12,X23,X1),X12,X1)
| c_in(X23,c_List_Olists(X12,X1),tc_List_Olist(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_486])]) ).
fof(f4657,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(c_Pair(X0,c_Main_Oin__listsI__1(c_Relation_OImage(X1,c_insert(X0,c_emptyset,X2),X2,X3),X4,X3),X2,X3),X1,tc_prod(X2,X3))
| c_in(X4,c_List_Olists(c_Relation_OImage(X1,c_insert(X0,c_emptyset,X2),X2,X3),X3),tc_List_Olist(X3)) )
| ~ spl0_486
| ~ spl0_576 ),
inference(resolution,[],[f4583,f3928]) ).
fof(f3928,plain,
( ! [X1,X12,X23] :
( ~ c_in(c_Main_Oin__listsI__1(X12,X23,X1),X12,X1)
| c_in(X23,c_List_Olists(X12,X1),tc_List_Olist(X1)) )
| ~ spl0_486 ),
inference(avatar_component_clause,[],[f3927]) ).
fof(f19900,plain,
( spl0_1021
| ~ spl0_533
| ~ spl0_576 ),
inference(avatar_split_clause,[],[f4656,f4582,f4285,f19898]) ).
fof(f19898,plain,
( spl0_1021
<=> ! [X5,X4,X2,X0,X6,X3,X1] :
( ~ c_in(c_Pair(X0,c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4)),X6,tc_prod(X5,tc_prod(X3,X4)))
| c_in(X1,c_Relation_ODomain(c_Relation_OImage(X6,c_insert(X0,c_emptyset,X5),X5,tc_prod(X3,X4)),X3,X4),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1021])]) ).
fof(f4656,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_in(c_Pair(X0,c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4)),X6,tc_prod(X5,tc_prod(X3,X4)))
| c_in(X1,c_Relation_ODomain(c_Relation_OImage(X6,c_insert(X0,c_emptyset,X5),X5,tc_prod(X3,X4)),X3,X4),X3) )
| ~ spl0_533
| ~ spl0_576 ),
inference(resolution,[],[f4583,f4286]) ).
fof(f19896,plain,
( spl0_1020
| ~ spl0_536
| ~ spl0_576 ),
inference(avatar_split_clause,[],[f4655,f4582,f4297,f19894]) ).
fof(f19894,plain,
( spl0_1020
<=> ! [X5,X4,X2,X0,X6,X3,X1] :
( ~ c_in(c_Pair(X0,c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4)),X6,tc_prod(X5,tc_prod(X3,X4)))
| c_in(X2,c_Relation_ORange(c_Relation_OImage(X6,c_insert(X0,c_emptyset,X5),X5,tc_prod(X3,X4)),X3,X4),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1020])]) ).
fof(f4655,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_in(c_Pair(X0,c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4)),X6,tc_prod(X5,tc_prod(X3,X4)))
| c_in(X2,c_Relation_ORange(c_Relation_OImage(X6,c_insert(X0,c_emptyset,X5),X5,tc_prod(X3,X4)),X3,X4),X4) )
| ~ spl0_536
| ~ spl0_576 ),
inference(resolution,[],[f4583,f4298]) ).
fof(f19892,plain,
( spl0_1019
| ~ spl0_489
| ~ spl0_515 ),
inference(avatar_split_clause,[],[f4163,f4097,f3939,f19890]) ).
fof(f19890,plain,
( spl0_1019
<=> ! [X0,X3,X2,X1] :
( c_in(c_Main_OUnionE__1(X0,c_union(X1,X2,tc_set(X3)),X3),X2,tc_set(X3))
| c_in(c_Main_OUnionE__1(X0,c_union(X1,X2,tc_set(X3)),X3),X1,tc_set(X3))
| ~ c_in(X0,c_Union(c_union(X1,X2,tc_set(X3)),X3),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1019])]) ).
fof(f4163,plain,
( ! [X2,X3,X0,X1] :
( c_in(c_Main_OUnionE__1(X0,c_union(X1,X2,tc_set(X3)),X3),X2,tc_set(X3))
| c_in(c_Main_OUnionE__1(X0,c_union(X1,X2,tc_set(X3)),X3),X1,tc_set(X3))
| ~ c_in(X0,c_Union(c_union(X1,X2,tc_set(X3)),X3),X3) )
| ~ spl0_489
| ~ spl0_515 ),
inference(resolution,[],[f4098,f3940]) ).
fof(f19888,plain,
( spl0_1018
| ~ spl0_488
| ~ spl0_515 ),
inference(avatar_split_clause,[],[f4162,f4097,f3935,f19886]) ).
fof(f19886,plain,
( spl0_1018
<=> ! [X0,X3,X2,X1] :
( c_in(c_Main_OInterI__1(X0,c_union(X1,X2,tc_set(X3)),X3),X2,tc_set(X3))
| c_in(c_Main_OInterI__1(X0,c_union(X1,X2,tc_set(X3)),X3),X1,tc_set(X3))
| c_in(X0,c_Inter(c_union(X1,X2,tc_set(X3)),X3),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1018])]) ).
fof(f4162,plain,
( ! [X2,X3,X0,X1] :
( c_in(c_Main_OInterI__1(X0,c_union(X1,X2,tc_set(X3)),X3),X2,tc_set(X3))
| c_in(c_Main_OInterI__1(X0,c_union(X1,X2,tc_set(X3)),X3),X1,tc_set(X3))
| c_in(X0,c_Inter(c_union(X1,X2,tc_set(X3)),X3),X3) )
| ~ spl0_488
| ~ spl0_515 ),
inference(resolution,[],[f4098,f3936]) ).
fof(f19839,plain,
( spl0_1017
| ~ spl0_678
| ~ spl0_707 ),
inference(avatar_split_clause,[],[f6623,f6567,f6109,f19837]) ).
fof(f6567,plain,
( spl0_707
<=> ! [X0,X1] :
( c_in(X0,c_List_Olists(c_Message_Osynth(X1),tc_Message_Omsg),tc_List_Olist(tc_Message_Omsg))
| ~ c_in(c_Main_Oin__listsI__1(c_Message_Osynth(X1),X0,tc_Message_Omsg),X1,tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_707])]) ).
fof(f6623,plain,
( ! [X0] : c_in(X0,c_List_Olists(c_Message_Osynth(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)),tc_Message_Omsg),tc_List_Olist(tc_Message_Omsg))
| ~ spl0_678
| ~ spl0_707 ),
inference(resolution,[],[f6568,f6110]) ).
fof(f6568,plain,
( ! [X0,X1] :
( ~ c_in(c_Main_Oin__listsI__1(c_Message_Osynth(X1),X0,tc_Message_Omsg),X1,tc_Message_Omsg)
| c_in(X0,c_List_Olists(c_Message_Osynth(X1),tc_Message_Omsg),tc_List_Olist(tc_Message_Omsg)) )
| ~ spl0_707 ),
inference(avatar_component_clause,[],[f6567]) ).
fof(f19362,plain,
( spl0_1016
| ~ spl0_671
| ~ spl0_678 ),
inference(avatar_split_clause,[],[f6152,f6109,f5913,f19360]) ).
fof(f19360,plain,
( spl0_1016
<=> ! [X2,X0,X1] : c_in(X0,c_Relation_OImage(c_UNIV,c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,X1),X1,X2),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1016])]) ).
fof(f6152,plain,
( ! [X2,X0,X1] : c_in(X0,c_Relation_OImage(c_UNIV,c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,X1),X1,X2),X2)
| ~ spl0_671
| ~ spl0_678 ),
inference(resolution,[],[f6110,f5914]) ).
fof(f18869,plain,
( spl0_1015
| ~ spl0_410
| ~ spl0_581 ),
inference(avatar_split_clause,[],[f4767,f4702,f3501,f18867]) ).
fof(f18867,plain,
( spl0_1015
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_OImage(c_uminus(X1,tc_set(tc_prod(X2,X3))),X4,X2,X3),X3)
| ~ c_in(c_Pair(c_Main_OImageE__1(X4,X0,c_uminus(X1,tc_set(tc_prod(X2,X3))),X2,X3),X0,X2,X3),X1,tc_prod(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1015])]) ).
fof(f4767,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Relation_OImage(c_uminus(X1,tc_set(tc_prod(X2,X3))),X4,X2,X3),X3)
| ~ c_in(c_Pair(c_Main_OImageE__1(X4,X0,c_uminus(X1,tc_set(tc_prod(X2,X3))),X2,X3),X0,X2,X3),X1,tc_prod(X2,X3)) )
| ~ spl0_410
| ~ spl0_581 ),
inference(resolution,[],[f4703,f3502]) ).
fof(f18788,plain,
( spl0_1014
| ~ spl0_413
| ~ spl0_581 ),
inference(avatar_split_clause,[],[f4765,f4702,f3513,f18786]) ).
fof(f18786,plain,
( spl0_1014
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ c_in(X0,c_Relation_OImage(c_inter(X1,X2,tc_prod(X3,X4)),X5,X3,X4),X4)
| c_in(c_Pair(c_Main_OImageE__1(X5,X0,c_inter(X1,X2,tc_prod(X3,X4)),X3,X4),X0,X3,X4),X2,tc_prod(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1014])]) ).
fof(f4765,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Relation_OImage(c_inter(X1,X2,tc_prod(X3,X4)),X5,X3,X4),X4)
| c_in(c_Pair(c_Main_OImageE__1(X5,X0,c_inter(X1,X2,tc_prod(X3,X4)),X3,X4),X0,X3,X4),X2,tc_prod(X3,X4)) )
| ~ spl0_413
| ~ spl0_581 ),
inference(resolution,[],[f4703,f3514]) ).
fof(f18784,plain,
( spl0_1013
| ~ spl0_414
| ~ spl0_581 ),
inference(avatar_split_clause,[],[f4764,f4702,f3517,f18782]) ).
fof(f18782,plain,
( spl0_1013
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ c_in(X0,c_Relation_OImage(c_inter(X1,X2,tc_prod(X3,X4)),X5,X3,X4),X4)
| c_in(c_Pair(c_Main_OImageE__1(X5,X0,c_inter(X1,X2,tc_prod(X3,X4)),X3,X4),X0,X3,X4),X1,tc_prod(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1013])]) ).
fof(f4764,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Relation_OImage(c_inter(X1,X2,tc_prod(X3,X4)),X5,X3,X4),X4)
| c_in(c_Pair(c_Main_OImageE__1(X5,X0,c_inter(X1,X2,tc_prod(X3,X4)),X3,X4),X0,X3,X4),X1,tc_prod(X3,X4)) )
| ~ spl0_414
| ~ spl0_581 ),
inference(resolution,[],[f4703,f3518]) ).
fof(f18780,plain,
( spl0_1012
| ~ spl0_447
| ~ spl0_570 ),
inference(avatar_split_clause,[],[f4639,f4557,f3669,f18778]) ).
fof(f18778,plain,
( spl0_1012
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_ORange(c_SetInterval_OgreaterThan(X1,tc_prod(X2,X3)),X2,X3),X3)
| c_less(X1,c_Pair(c_Main_ORangeE__1(X0,c_SetInterval_OgreaterThan(X1,tc_prod(X2,X3)),X3,X2),X0,X2,X3),tc_prod(X2,X3))
| ~ class_Orderings_Oord(tc_prod(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1012])]) ).
fof(f4639,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Relation_ORange(c_SetInterval_OgreaterThan(X1,tc_prod(X2,X3)),X2,X3),X3)
| c_less(X1,c_Pair(c_Main_ORangeE__1(X0,c_SetInterval_OgreaterThan(X1,tc_prod(X2,X3)),X3,X2),X0,X2,X3),tc_prod(X2,X3))
| ~ class_Orderings_Oord(tc_prod(X2,X3)) )
| ~ spl0_447
| ~ spl0_570 ),
inference(resolution,[],[f4558,f3670]) ).
fof(f18776,plain,
( spl0_1011
| ~ spl0_441
| ~ spl0_570 ),
inference(avatar_split_clause,[],[f4638,f4557,f3645,f18774]) ).
fof(f18774,plain,
( spl0_1011
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_ORange(c_SetInterval_OatLeast(X1,tc_prod(X2,X3)),X2,X3),X3)
| c_lessequals(X1,c_Pair(c_Main_ORangeE__1(X0,c_SetInterval_OatLeast(X1,tc_prod(X2,X3)),X3,X2),X0,X2,X3),tc_prod(X2,X3))
| ~ class_Orderings_Oord(tc_prod(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1011])]) ).
fof(f4638,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Relation_ORange(c_SetInterval_OatLeast(X1,tc_prod(X2,X3)),X2,X3),X3)
| c_lessequals(X1,c_Pair(c_Main_ORangeE__1(X0,c_SetInterval_OatLeast(X1,tc_prod(X2,X3)),X3,X2),X0,X2,X3),tc_prod(X2,X3))
| ~ class_Orderings_Oord(tc_prod(X2,X3)) )
| ~ spl0_441
| ~ spl0_570 ),
inference(resolution,[],[f4558,f3646]) ).
fof(f18772,plain,
( spl0_1010
| ~ spl0_453
| ~ spl0_570 ),
inference(avatar_split_clause,[],[f4636,f4557,f3693,f18770]) ).
fof(f18770,plain,
( spl0_1010
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_ORange(c_minus(X1,X2,tc_set(tc_prod(X3,X4))),X3,X4),X4)
| ~ c_in(c_Pair(c_Main_ORangeE__1(X0,c_minus(X1,X2,tc_set(tc_prod(X3,X4))),X4,X3),X0,X3,X4),X2,tc_prod(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1010])]) ).
fof(f4636,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Relation_ORange(c_minus(X1,X2,tc_set(tc_prod(X3,X4))),X3,X4),X4)
| ~ c_in(c_Pair(c_Main_ORangeE__1(X0,c_minus(X1,X2,tc_set(tc_prod(X3,X4))),X4,X3),X0,X3,X4),X2,tc_prod(X3,X4)) )
| ~ spl0_453
| ~ spl0_570 ),
inference(resolution,[],[f4558,f3694]) ).
fof(f18768,plain,
( spl0_1009
| ~ spl0_454
| ~ spl0_570 ),
inference(avatar_split_clause,[],[f4635,f4557,f3697,f18766]) ).
fof(f18766,plain,
( spl0_1009
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_ORange(c_minus(X1,X2,tc_set(tc_prod(X3,X4))),X3,X4),X4)
| c_in(c_Pair(c_Main_ORangeE__1(X0,c_minus(X1,X2,tc_set(tc_prod(X3,X4))),X4,X3),X0,X3,X4),X1,tc_prod(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1009])]) ).
fof(f4635,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Relation_ORange(c_minus(X1,X2,tc_set(tc_prod(X3,X4))),X3,X4),X4)
| c_in(c_Pair(c_Main_ORangeE__1(X0,c_minus(X1,X2,tc_set(tc_prod(X3,X4))),X4,X3),X0,X3,X4),X1,tc_prod(X3,X4)) )
| ~ spl0_454
| ~ spl0_570 ),
inference(resolution,[],[f4558,f3698]) ).
fof(f18764,plain,
( spl0_1008
| ~ spl0_450
| ~ spl0_570 ),
inference(avatar_split_clause,[],[f4632,f4557,f3681,f18762]) ).
fof(f18762,plain,
( spl0_1008
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_ORange(c_SetInterval_OlessThan(X1,tc_prod(X2,X3)),X2,X3),X3)
| c_less(c_Pair(c_Main_ORangeE__1(X0,c_SetInterval_OlessThan(X1,tc_prod(X2,X3)),X3,X2),X0,X2,X3),X1,tc_prod(X2,X3))
| ~ class_Orderings_Oord(tc_prod(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1008])]) ).
fof(f4632,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Relation_ORange(c_SetInterval_OlessThan(X1,tc_prod(X2,X3)),X2,X3),X3)
| c_less(c_Pair(c_Main_ORangeE__1(X0,c_SetInterval_OlessThan(X1,tc_prod(X2,X3)),X3,X2),X0,X2,X3),X1,tc_prod(X2,X3))
| ~ class_Orderings_Oord(tc_prod(X2,X3)) )
| ~ spl0_450
| ~ spl0_570 ),
inference(resolution,[],[f4558,f3682]) ).
fof(f18760,plain,
( spl0_1007
| ~ spl0_444
| ~ spl0_570 ),
inference(avatar_split_clause,[],[f4631,f4557,f3657,f18758]) ).
fof(f18758,plain,
( spl0_1007
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_ORange(c_SetInterval_OatMost(X1,tc_prod(X2,X3)),X2,X3),X3)
| c_lessequals(c_Pair(c_Main_ORangeE__1(X0,c_SetInterval_OatMost(X1,tc_prod(X2,X3)),X3,X2),X0,X2,X3),X1,tc_prod(X2,X3))
| ~ class_Orderings_Oord(tc_prod(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1007])]) ).
fof(f4631,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Relation_ORange(c_SetInterval_OatMost(X1,tc_prod(X2,X3)),X2,X3),X3)
| c_lessequals(c_Pair(c_Main_ORangeE__1(X0,c_SetInterval_OatMost(X1,tc_prod(X2,X3)),X3,X2),X0,X2,X3),X1,tc_prod(X2,X3))
| ~ class_Orderings_Oord(tc_prod(X2,X3)) )
| ~ spl0_444
| ~ spl0_570 ),
inference(resolution,[],[f4558,f3658]) ).
fof(f18756,plain,
( spl0_1006
| ~ spl0_447
| ~ spl0_569 ),
inference(avatar_split_clause,[],[f4614,f4553,f3669,f18754]) ).
fof(f18754,plain,
( spl0_1006
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_ODomain(c_SetInterval_OgreaterThan(X1,tc_prod(X2,X3)),X2,X3),X2)
| c_less(X1,c_Pair(X0,c_Main_ODomainE__1(X0,c_SetInterval_OgreaterThan(X1,tc_prod(X2,X3)),X2,X3),X2,X3),tc_prod(X2,X3))
| ~ class_Orderings_Oord(tc_prod(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1006])]) ).
fof(f4614,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Relation_ODomain(c_SetInterval_OgreaterThan(X1,tc_prod(X2,X3)),X2,X3),X2)
| c_less(X1,c_Pair(X0,c_Main_ODomainE__1(X0,c_SetInterval_OgreaterThan(X1,tc_prod(X2,X3)),X2,X3),X2,X3),tc_prod(X2,X3))
| ~ class_Orderings_Oord(tc_prod(X2,X3)) )
| ~ spl0_447
| ~ spl0_569 ),
inference(resolution,[],[f4554,f3670]) ).
fof(f18752,plain,
( spl0_1005
| ~ spl0_441
| ~ spl0_569 ),
inference(avatar_split_clause,[],[f4613,f4553,f3645,f18750]) ).
fof(f18750,plain,
( spl0_1005
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_ODomain(c_SetInterval_OatLeast(X1,tc_prod(X2,X3)),X2,X3),X2)
| c_lessequals(X1,c_Pair(X0,c_Main_ODomainE__1(X0,c_SetInterval_OatLeast(X1,tc_prod(X2,X3)),X2,X3),X2,X3),tc_prod(X2,X3))
| ~ class_Orderings_Oord(tc_prod(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1005])]) ).
fof(f4613,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Relation_ODomain(c_SetInterval_OatLeast(X1,tc_prod(X2,X3)),X2,X3),X2)
| c_lessequals(X1,c_Pair(X0,c_Main_ODomainE__1(X0,c_SetInterval_OatLeast(X1,tc_prod(X2,X3)),X2,X3),X2,X3),tc_prod(X2,X3))
| ~ class_Orderings_Oord(tc_prod(X2,X3)) )
| ~ spl0_441
| ~ spl0_569 ),
inference(resolution,[],[f4554,f3646]) ).
fof(f18748,plain,
( spl0_1004
| ~ spl0_521
| ~ spl0_671 ),
inference(avatar_split_clause,[],[f6082,f5913,f4211,f18746]) ).
fof(f18746,plain,
( spl0_1004
<=> ! [X0,X1] : c_in(X0,c_Relation_OImage(c_UNIV,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg,X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1004])]) ).
fof(f6082,plain,
( ! [X0,X1] : c_in(X0,c_Relation_OImage(c_UNIV,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg,X1),X1)
| ~ spl0_521
| ~ spl0_671 ),
inference(resolution,[],[f5914,f4213]) ).
fof(f18744,plain,
( spl0_1003
| ~ spl0_453
| ~ spl0_569 ),
inference(avatar_split_clause,[],[f4611,f4553,f3693,f18742]) ).
fof(f18742,plain,
( spl0_1003
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_ODomain(c_minus(X1,X2,tc_set(tc_prod(X3,X4))),X3,X4),X3)
| ~ c_in(c_Pair(X0,c_Main_ODomainE__1(X0,c_minus(X1,X2,tc_set(tc_prod(X3,X4))),X3,X4),X3,X4),X2,tc_prod(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1003])]) ).
fof(f4611,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Relation_ODomain(c_minus(X1,X2,tc_set(tc_prod(X3,X4))),X3,X4),X3)
| ~ c_in(c_Pair(X0,c_Main_ODomainE__1(X0,c_minus(X1,X2,tc_set(tc_prod(X3,X4))),X3,X4),X3,X4),X2,tc_prod(X3,X4)) )
| ~ spl0_453
| ~ spl0_569 ),
inference(resolution,[],[f4554,f3694]) ).
fof(f18740,plain,
( spl0_1002
| ~ spl0_454
| ~ spl0_569 ),
inference(avatar_split_clause,[],[f4610,f4553,f3697,f18738]) ).
fof(f18738,plain,
( spl0_1002
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_ODomain(c_minus(X1,X2,tc_set(tc_prod(X3,X4))),X3,X4),X3)
| c_in(c_Pair(X0,c_Main_ODomainE__1(X0,c_minus(X1,X2,tc_set(tc_prod(X3,X4))),X3,X4),X3,X4),X1,tc_prod(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1002])]) ).
fof(f4610,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Relation_ODomain(c_minus(X1,X2,tc_set(tc_prod(X3,X4))),X3,X4),X3)
| c_in(c_Pair(X0,c_Main_ODomainE__1(X0,c_minus(X1,X2,tc_set(tc_prod(X3,X4))),X3,X4),X3,X4),X1,tc_prod(X3,X4)) )
| ~ spl0_454
| ~ spl0_569 ),
inference(resolution,[],[f4554,f3698]) ).
fof(f18736,plain,
( spl0_1001
| ~ spl0_450
| ~ spl0_569 ),
inference(avatar_split_clause,[],[f4607,f4553,f3681,f18734]) ).
fof(f18734,plain,
( spl0_1001
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_ODomain(c_SetInterval_OlessThan(X1,tc_prod(X2,X3)),X2,X3),X2)
| c_less(c_Pair(X0,c_Main_ODomainE__1(X0,c_SetInterval_OlessThan(X1,tc_prod(X2,X3)),X2,X3),X2,X3),X1,tc_prod(X2,X3))
| ~ class_Orderings_Oord(tc_prod(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1001])]) ).
fof(f4607,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Relation_ODomain(c_SetInterval_OlessThan(X1,tc_prod(X2,X3)),X2,X3),X2)
| c_less(c_Pair(X0,c_Main_ODomainE__1(X0,c_SetInterval_OlessThan(X1,tc_prod(X2,X3)),X2,X3),X2,X3),X1,tc_prod(X2,X3))
| ~ class_Orderings_Oord(tc_prod(X2,X3)) )
| ~ spl0_450
| ~ spl0_569 ),
inference(resolution,[],[f4554,f3682]) ).
fof(f18732,plain,
( spl0_1000
| ~ spl0_444
| ~ spl0_569 ),
inference(avatar_split_clause,[],[f4606,f4553,f3657,f18730]) ).
fof(f18730,plain,
( spl0_1000
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_ODomain(c_SetInterval_OatMost(X1,tc_prod(X2,X3)),X2,X3),X2)
| c_lessequals(c_Pair(X0,c_Main_ODomainE__1(X0,c_SetInterval_OatMost(X1,tc_prod(X2,X3)),X2,X3),X2,X3),X1,tc_prod(X2,X3))
| ~ class_Orderings_Oord(tc_prod(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1000])]) ).
fof(f4606,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Relation_ODomain(c_SetInterval_OatMost(X1,tc_prod(X2,X3)),X2,X3),X2)
| c_lessequals(c_Pair(X0,c_Main_ODomainE__1(X0,c_SetInterval_OatMost(X1,tc_prod(X2,X3)),X2,X3),X2,X3),X1,tc_prod(X2,X3))
| ~ class_Orderings_Oord(tc_prod(X2,X3)) )
| ~ spl0_444
| ~ spl0_569 ),
inference(resolution,[],[f4554,f3658]) ).
fof(f18728,plain,
( spl0_999
| ~ spl0_429
| ~ spl0_557 ),
inference(avatar_split_clause,[],[f4483,f4449,f3596,f18726]) ).
fof(f18726,plain,
( spl0_999
<=> ! [X2,X0,X1] :
( c_in(c_Main_OsubsetI__1(c_Message_Oparts(c_union(X0,X1,tc_Message_Omsg)),X2,tc_Message_Omsg),c_Message_Oparts(X1),tc_Message_Omsg)
| c_in(c_Main_OsubsetI__1(c_Message_Oparts(c_union(X0,X1,tc_Message_Omsg)),X2,tc_Message_Omsg),c_Message_Oparts(X0),tc_Message_Omsg)
| c_lessequals(c_Message_Oparts(c_union(X0,X1,tc_Message_Omsg)),X2,tc_set(tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_999])]) ).
fof(f4449,plain,
( spl0_557
<=> ! [X20,X55,X4] :
( c_in(X4,c_Message_Oparts(X20),tc_Message_Omsg)
| c_in(X4,c_Message_Oparts(X55),tc_Message_Omsg)
| ~ c_in(X4,c_Message_Oparts(c_union(X20,X55,tc_Message_Omsg)),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_557])]) ).
fof(f4483,plain,
( ! [X2,X0,X1] :
( c_in(c_Main_OsubsetI__1(c_Message_Oparts(c_union(X0,X1,tc_Message_Omsg)),X2,tc_Message_Omsg),c_Message_Oparts(X1),tc_Message_Omsg)
| c_in(c_Main_OsubsetI__1(c_Message_Oparts(c_union(X0,X1,tc_Message_Omsg)),X2,tc_Message_Omsg),c_Message_Oparts(X0),tc_Message_Omsg)
| c_lessequals(c_Message_Oparts(c_union(X0,X1,tc_Message_Omsg)),X2,tc_set(tc_Message_Omsg)) )
| ~ spl0_429
| ~ spl0_557 ),
inference(resolution,[],[f4450,f3597]) ).
fof(f4450,plain,
( ! [X55,X4,X20] :
( ~ c_in(X4,c_Message_Oparts(c_union(X20,X55,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(X4,c_Message_Oparts(X55),tc_Message_Omsg)
| c_in(X4,c_Message_Oparts(X20),tc_Message_Omsg) )
| ~ spl0_557 ),
inference(avatar_component_clause,[],[f4449]) ).
fof(f18724,plain,
( spl0_998
| ~ spl0_529
| ~ spl0_536 ),
inference(avatar_split_clause,[],[f4396,f4297,f4244,f18722]) ).
fof(f18722,plain,
( spl0_998
<=> ! [X5,X4,X0,X3,X2,X1] :
( c_in(X0,c_Relation_ORange(c_minus(X1,X2,tc_set(tc_prod(X3,X4))),X3,X4),X4)
| c_in(c_Pair(X5,X0,X3,X4),X2,tc_prod(X3,X4))
| ~ c_in(c_Pair(X5,X0,X3,X4),X1,tc_prod(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_998])]) ).
fof(f4396,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( c_in(X0,c_Relation_ORange(c_minus(X1,X2,tc_set(tc_prod(X3,X4))),X3,X4),X4)
| c_in(c_Pair(X5,X0,X3,X4),X2,tc_prod(X3,X4))
| ~ c_in(c_Pair(X5,X0,X3,X4),X1,tc_prod(X3,X4)) )
| ~ spl0_529
| ~ spl0_536 ),
inference(resolution,[],[f4298,f4245]) ).
fof(f18720,plain,
( spl0_997
| ~ spl0_429
| ~ spl0_534 ),
inference(avatar_split_clause,[],[f4373,f4289,f3596,f18718]) ).
fof(f18718,plain,
( spl0_997
<=> ! [X0,X1] :
( c_Main_OsubsetI__1(c_Relation_OId,X0,tc_prod(X1,X1)) = c_Pair(c_Main_OIdE__1(c_Main_OsubsetI__1(c_Relation_OId,X0,tc_prod(X1,X1)),X1),c_Main_OIdE__1(c_Main_OsubsetI__1(c_Relation_OId,X0,tc_prod(X1,X1)),X1),X1,X1)
| c_lessequals(c_Relation_OId,X0,tc_set(tc_prod(X1,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_997])]) ).
fof(f4373,plain,
( ! [X0,X1] :
( c_Main_OsubsetI__1(c_Relation_OId,X0,tc_prod(X1,X1)) = c_Pair(c_Main_OIdE__1(c_Main_OsubsetI__1(c_Relation_OId,X0,tc_prod(X1,X1)),X1),c_Main_OIdE__1(c_Main_OsubsetI__1(c_Relation_OId,X0,tc_prod(X1,X1)),X1),X1,X1)
| c_lessequals(c_Relation_OId,X0,tc_set(tc_prod(X1,X1))) )
| ~ spl0_429
| ~ spl0_534 ),
inference(resolution,[],[f4290,f3597]) ).
fof(f18716,plain,
( spl0_996
| ~ spl0_529
| ~ spl0_533 ),
inference(avatar_split_clause,[],[f4369,f4285,f4244,f18714]) ).
fof(f18714,plain,
( spl0_996
<=> ! [X5,X4,X0,X3,X2,X1] :
( c_in(X0,c_Relation_ODomain(c_minus(X1,X2,tc_set(tc_prod(X3,X4))),X3,X4),X3)
| c_in(c_Pair(X0,X5,X3,X4),X2,tc_prod(X3,X4))
| ~ c_in(c_Pair(X0,X5,X3,X4),X1,tc_prod(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_996])]) ).
fof(f4369,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( c_in(X0,c_Relation_ODomain(c_minus(X1,X2,tc_set(tc_prod(X3,X4))),X3,X4),X3)
| c_in(c_Pair(X0,X5,X3,X4),X2,tc_prod(X3,X4))
| ~ c_in(c_Pair(X0,X5,X3,X4),X1,tc_prod(X3,X4)) )
| ~ spl0_529
| ~ spl0_533 ),
inference(resolution,[],[f4286,f4245]) ).
fof(f18712,plain,
( spl0_995
| ~ spl0_486
| ~ spl0_529 ),
inference(avatar_split_clause,[],[f4271,f4244,f3927,f18710]) ).
fof(f18710,plain,
( spl0_995
<=> ! [X0,X3,X2,X1] :
( c_in(c_Main_Oin__listsI__1(c_minus(X0,X1,tc_set(X2)),X3,X2),X1,X2)
| ~ c_in(c_Main_Oin__listsI__1(c_minus(X0,X1,tc_set(X2)),X3,X2),X0,X2)
| c_in(X3,c_List_Olists(c_minus(X0,X1,tc_set(X2)),X2),tc_List_Olist(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_995])]) ).
fof(f4271,plain,
( ! [X2,X3,X0,X1] :
( c_in(c_Main_Oin__listsI__1(c_minus(X0,X1,tc_set(X2)),X3,X2),X1,X2)
| ~ c_in(c_Main_Oin__listsI__1(c_minus(X0,X1,tc_set(X2)),X3,X2),X0,X2)
| c_in(X3,c_List_Olists(c_minus(X0,X1,tc_set(X2)),X2),tc_List_Olist(X2)) )
| ~ spl0_486
| ~ spl0_529 ),
inference(resolution,[],[f4245,f3928]) ).
fof(f17776,plain,
( spl0_994
| ~ spl0_407
| ~ spl0_581 ),
inference(avatar_split_clause,[],[f4776,f4702,f3489,f17774]) ).
fof(f17774,plain,
( spl0_994
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_OImage(c_Datatype_Oo2s(X1,tc_prod(X2,X3)),X4,X2,X3),X3)
| c_Datatype_Ooption_OSome(c_Pair(c_Main_OImageE__1(X4,X0,c_Datatype_Oo2s(X1,tc_prod(X2,X3)),X2,X3),X0,X2,X3),tc_prod(X2,X3)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_994])]) ).
fof(f4776,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Relation_OImage(c_Datatype_Oo2s(X1,tc_prod(X2,X3)),X4,X2,X3),X3)
| c_Datatype_Ooption_OSome(c_Pair(c_Main_OImageE__1(X4,X0,c_Datatype_Oo2s(X1,tc_prod(X2,X3)),X2,X3),X0,X2,X3),tc_prod(X2,X3)) = X1 )
| ~ spl0_407
| ~ spl0_581 ),
inference(resolution,[],[f4703,f3490]) ).
fof(f17772,plain,
( spl0_993
| ~ spl0_516
| ~ spl0_580 ),
inference(avatar_split_clause,[],[f4734,f4698,f4101,f17770]) ).
fof(f17770,plain,
( spl0_993
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ c_in(X5,c_Main_OuprodE__1(X1,X2,X0,X3,X4),tc_Datatype__Universe_Onode(X3,X4))
| c_in(X5,c_Union(X1,tc_Datatype__Universe_Onode(X3,X4)),tc_Datatype__Universe_Onode(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_993])]) ).
fof(f4734,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ c_in(X5,c_Main_OuprodE__1(X1,X2,X0,X3,X4),tc_Datatype__Universe_Onode(X3,X4))
| c_in(X5,c_Union(X1,tc_Datatype__Universe_Onode(X3,X4)),tc_Datatype__Universe_Onode(X3,X4)) )
| ~ spl0_516
| ~ spl0_580 ),
inference(resolution,[],[f4699,f4102]) ).
fof(f17768,plain,
( spl0_992
| ~ spl0_516
| ~ spl0_579 ),
inference(avatar_split_clause,[],[f4714,f4694,f4101,f17766]) ).
fof(f17766,plain,
( spl0_992
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ c_in(X5,c_Main_OuprodE__2(X1,X2,X0,X3,X4),tc_Datatype__Universe_Onode(X3,X4))
| c_in(X5,c_Union(X2,tc_Datatype__Universe_Onode(X3,X4)),tc_Datatype__Universe_Onode(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_992])]) ).
fof(f4714,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| ~ c_in(X5,c_Main_OuprodE__2(X1,X2,X0,X3,X4),tc_Datatype__Universe_Onode(X3,X4))
| c_in(X5,c_Union(X2,tc_Datatype__Universe_Onode(X3,X4)),tc_Datatype__Universe_Onode(X3,X4)) )
| ~ spl0_516
| ~ spl0_579 ),
inference(resolution,[],[f4695,f4102]) ).
fof(f17764,plain,
( spl0_991
| ~ spl0_430
| ~ spl0_576 ),
inference(avatar_split_clause,[],[f4658,f4582,f3600,f17762]) ).
fof(f17762,plain,
( spl0_991
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(c_Pair(X0,c_Main_OsubsetI__1(X1,c_Relation_OImage(X2,c_insert(X0,c_emptyset,X3),X3,X4),X4),X3,X4),X2,tc_prod(X3,X4))
| c_lessequals(X1,c_Relation_OImage(X2,c_insert(X0,c_emptyset,X3),X3,X4),tc_set(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_991])]) ).
fof(f4658,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(c_Pair(X0,c_Main_OsubsetI__1(X1,c_Relation_OImage(X2,c_insert(X0,c_emptyset,X3),X3,X4),X4),X3,X4),X2,tc_prod(X3,X4))
| c_lessequals(X1,c_Relation_OImage(X2,c_insert(X0,c_emptyset,X3),X3,X4),tc_set(X4)) )
| ~ spl0_430
| ~ spl0_576 ),
inference(resolution,[],[f4583,f3601]) ).
fof(f17760,plain,
( spl0_990
| ~ spl0_429
| ~ spl0_575 ),
inference(avatar_split_clause,[],[f4646,f4578,f3596,f17758]) ).
fof(f17758,plain,
( spl0_990
<=> ! [X4,X0,X3,X2,X1] :
( c_in(c_Pair(X0,c_Main_OsubsetI__1(c_Relation_OImage(X1,c_insert(X0,c_emptyset,X2),X2,X3),X4,X3),X2,X3),X1,tc_prod(X2,X3))
| c_lessequals(c_Relation_OImage(X1,c_insert(X0,c_emptyset,X2),X2,X3),X4,tc_set(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_990])]) ).
fof(f4646,plain,
( ! [X2,X3,X0,X1,X4] :
( c_in(c_Pair(X0,c_Main_OsubsetI__1(c_Relation_OImage(X1,c_insert(X0,c_emptyset,X2),X2,X3),X4,X3),X2,X3),X1,tc_prod(X2,X3))
| c_lessequals(c_Relation_OImage(X1,c_insert(X0,c_emptyset,X2),X2,X3),X4,tc_set(X3)) )
| ~ spl0_429
| ~ spl0_575 ),
inference(resolution,[],[f4579,f3597]) ).
fof(f17719,plain,
( spl0_989
| ~ spl0_447
| ~ spl0_564 ),
inference(avatar_split_clause,[],[f4538,f4512,f3669,f17717]) ).
fof(f17717,plain,
( spl0_989
<=> ! [X0,X1] :
( c_in(c_Union(c_SetInterval_OgreaterThan(X0,tc_set(X1)),X1),c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(c_SetInterval_OgreaterThan(X0,tc_set(X1)),c_Finite__Set_OFinites,tc_set(tc_set(X1)))
| c_less(X0,c_Main_Ofinite__Union__1(c_SetInterval_OgreaterThan(X0,tc_set(X1)),X1),tc_set(X1))
| ~ class_Orderings_Oord(tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_989])]) ).
fof(f4538,plain,
( ! [X0,X1] :
( c_in(c_Union(c_SetInterval_OgreaterThan(X0,tc_set(X1)),X1),c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(c_SetInterval_OgreaterThan(X0,tc_set(X1)),c_Finite__Set_OFinites,tc_set(tc_set(X1)))
| c_less(X0,c_Main_Ofinite__Union__1(c_SetInterval_OgreaterThan(X0,tc_set(X1)),X1),tc_set(X1))
| ~ class_Orderings_Oord(tc_set(X1)) )
| ~ spl0_447
| ~ spl0_564 ),
inference(resolution,[],[f4513,f3670]) ).
fof(f17715,plain,
( spl0_988
| ~ spl0_441
| ~ spl0_564 ),
inference(avatar_split_clause,[],[f4537,f4512,f3645,f17713]) ).
fof(f17713,plain,
( spl0_988
<=> ! [X0,X1] :
( c_in(c_Union(c_SetInterval_OatLeast(X0,tc_set(X1)),X1),c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(c_SetInterval_OatLeast(X0,tc_set(X1)),c_Finite__Set_OFinites,tc_set(tc_set(X1)))
| c_lessequals(X0,c_Main_Ofinite__Union__1(c_SetInterval_OatLeast(X0,tc_set(X1)),X1),tc_set(X1))
| ~ class_Orderings_Oord(tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_988])]) ).
fof(f4537,plain,
( ! [X0,X1] :
( c_in(c_Union(c_SetInterval_OatLeast(X0,tc_set(X1)),X1),c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(c_SetInterval_OatLeast(X0,tc_set(X1)),c_Finite__Set_OFinites,tc_set(tc_set(X1)))
| c_lessequals(X0,c_Main_Ofinite__Union__1(c_SetInterval_OatLeast(X0,tc_set(X1)),X1),tc_set(X1))
| ~ class_Orderings_Oord(tc_set(X1)) )
| ~ spl0_441
| ~ spl0_564 ),
inference(resolution,[],[f4513,f3646]) ).
fof(f17711,plain,
( spl0_987
| ~ spl0_450
| ~ spl0_564 ),
inference(avatar_split_clause,[],[f4530,f4512,f3681,f17709]) ).
fof(f17709,plain,
( spl0_987
<=> ! [X0,X1] :
( c_in(c_Union(c_SetInterval_OlessThan(X0,tc_set(X1)),X1),c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(c_SetInterval_OlessThan(X0,tc_set(X1)),c_Finite__Set_OFinites,tc_set(tc_set(X1)))
| c_less(c_Main_Ofinite__Union__1(c_SetInterval_OlessThan(X0,tc_set(X1)),X1),X0,tc_set(X1))
| ~ class_Orderings_Oord(tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_987])]) ).
fof(f4530,plain,
( ! [X0,X1] :
( c_in(c_Union(c_SetInterval_OlessThan(X0,tc_set(X1)),X1),c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(c_SetInterval_OlessThan(X0,tc_set(X1)),c_Finite__Set_OFinites,tc_set(tc_set(X1)))
| c_less(c_Main_Ofinite__Union__1(c_SetInterval_OlessThan(X0,tc_set(X1)),X1),X0,tc_set(X1))
| ~ class_Orderings_Oord(tc_set(X1)) )
| ~ spl0_450
| ~ spl0_564 ),
inference(resolution,[],[f4513,f3682]) ).
fof(f17707,plain,
( spl0_986
| ~ spl0_444
| ~ spl0_564 ),
inference(avatar_split_clause,[],[f4529,f4512,f3657,f17705]) ).
fof(f17705,plain,
( spl0_986
<=> ! [X0,X1] :
( c_in(c_Union(c_SetInterval_OatMost(X0,tc_set(X1)),X1),c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(c_SetInterval_OatMost(X0,tc_set(X1)),c_Finite__Set_OFinites,tc_set(tc_set(X1)))
| c_lessequals(c_Main_Ofinite__Union__1(c_SetInterval_OatMost(X0,tc_set(X1)),X1),X0,tc_set(X1))
| ~ class_Orderings_Oord(tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_986])]) ).
fof(f4529,plain,
( ! [X0,X1] :
( c_in(c_Union(c_SetInterval_OatMost(X0,tc_set(X1)),X1),c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(c_SetInterval_OatMost(X0,tc_set(X1)),c_Finite__Set_OFinites,tc_set(tc_set(X1)))
| c_lessequals(c_Main_Ofinite__Union__1(c_SetInterval_OatMost(X0,tc_set(X1)),X1),X0,tc_set(X1))
| ~ class_Orderings_Oord(tc_set(X1)) )
| ~ spl0_444
| ~ spl0_564 ),
inference(resolution,[],[f4513,f3658]) ).
fof(f17703,plain,
( spl0_985
| ~ spl0_410
| ~ spl0_564 ),
inference(avatar_split_clause,[],[f4527,f4512,f3501,f17701]) ).
fof(f17701,plain,
( spl0_985
<=> ! [X0,X1] :
( c_in(c_Union(c_uminus(X0,tc_set(tc_set(X1))),X1),c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(c_uminus(X0,tc_set(tc_set(X1))),c_Finite__Set_OFinites,tc_set(tc_set(X1)))
| ~ c_in(c_Main_Ofinite__Union__1(c_uminus(X0,tc_set(tc_set(X1))),X1),X0,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_985])]) ).
fof(f4527,plain,
( ! [X0,X1] :
( c_in(c_Union(c_uminus(X0,tc_set(tc_set(X1))),X1),c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(c_uminus(X0,tc_set(tc_set(X1))),c_Finite__Set_OFinites,tc_set(tc_set(X1)))
| ~ c_in(c_Main_Ofinite__Union__1(c_uminus(X0,tc_set(tc_set(X1))),X1),X0,tc_set(X1)) )
| ~ spl0_410
| ~ spl0_564 ),
inference(resolution,[],[f4513,f3502]) ).
fof(f17699,plain,
( spl0_984
| ~ spl0_413
| ~ spl0_564 ),
inference(avatar_split_clause,[],[f4525,f4512,f3513,f17697]) ).
fof(f17697,plain,
( spl0_984
<=> ! [X2,X0,X1] :
( c_in(c_Union(c_inter(X0,X1,tc_set(X2)),X2),c_Finite__Set_OFinites,tc_set(X2))
| ~ c_in(c_inter(X0,X1,tc_set(X2)),c_Finite__Set_OFinites,tc_set(tc_set(X2)))
| c_in(c_Main_Ofinite__Union__1(c_inter(X0,X1,tc_set(X2)),X2),X1,tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_984])]) ).
fof(f4525,plain,
( ! [X2,X0,X1] :
( c_in(c_Union(c_inter(X0,X1,tc_set(X2)),X2),c_Finite__Set_OFinites,tc_set(X2))
| ~ c_in(c_inter(X0,X1,tc_set(X2)),c_Finite__Set_OFinites,tc_set(tc_set(X2)))
| c_in(c_Main_Ofinite__Union__1(c_inter(X0,X1,tc_set(X2)),X2),X1,tc_set(X2)) )
| ~ spl0_413
| ~ spl0_564 ),
inference(resolution,[],[f4513,f3514]) ).
fof(f17695,plain,
( spl0_983
| ~ spl0_414
| ~ spl0_564 ),
inference(avatar_split_clause,[],[f4524,f4512,f3517,f17693]) ).
fof(f17693,plain,
( spl0_983
<=> ! [X2,X0,X1] :
( c_in(c_Union(c_inter(X0,X1,tc_set(X2)),X2),c_Finite__Set_OFinites,tc_set(X2))
| ~ c_in(c_inter(X0,X1,tc_set(X2)),c_Finite__Set_OFinites,tc_set(tc_set(X2)))
| c_in(c_Main_Ofinite__Union__1(c_inter(X0,X1,tc_set(X2)),X2),X0,tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_983])]) ).
fof(f4524,plain,
( ! [X2,X0,X1] :
( c_in(c_Union(c_inter(X0,X1,tc_set(X2)),X2),c_Finite__Set_OFinites,tc_set(X2))
| ~ c_in(c_inter(X0,X1,tc_set(X2)),c_Finite__Set_OFinites,tc_set(tc_set(X2)))
| c_in(c_Main_Ofinite__Union__1(c_inter(X0,X1,tc_set(X2)),X2),X0,tc_set(X2)) )
| ~ spl0_414
| ~ spl0_564 ),
inference(resolution,[],[f4513,f3518]) ).
fof(f17691,plain,
( spl0_982
| ~ spl0_513
| ~ spl0_536 ),
inference(avatar_split_clause,[],[f4395,f4297,f4089,f17689]) ).
fof(f17689,plain,
( spl0_982
<=> ! [X5,X4,X0,X3,X2,X1] :
( c_in(X0,c_Relation_ORange(c_inter(X1,X2,tc_prod(X3,X4)),X3,X4),X4)
| ~ c_in(c_Pair(X5,X0,X3,X4),X1,tc_prod(X3,X4))
| ~ c_in(c_Pair(X5,X0,X3,X4),X2,tc_prod(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_982])]) ).
fof(f4395,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( c_in(X0,c_Relation_ORange(c_inter(X1,X2,tc_prod(X3,X4)),X3,X4),X4)
| ~ c_in(c_Pair(X5,X0,X3,X4),X1,tc_prod(X3,X4))
| ~ c_in(c_Pair(X5,X0,X3,X4),X2,tc_prod(X3,X4)) )
| ~ spl0_513
| ~ spl0_536 ),
inference(resolution,[],[f4298,f4090]) ).
fof(f17687,plain,
( spl0_981
| ~ spl0_513
| ~ spl0_533 ),
inference(avatar_split_clause,[],[f4368,f4285,f4089,f17685]) ).
fof(f17685,plain,
( spl0_981
<=> ! [X5,X4,X0,X3,X2,X1] :
( c_in(X0,c_Relation_ODomain(c_inter(X1,X2,tc_prod(X3,X4)),X3,X4),X3)
| ~ c_in(c_Pair(X0,X5,X3,X4),X1,tc_prod(X3,X4))
| ~ c_in(c_Pair(X0,X5,X3,X4),X2,tc_prod(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_981])]) ).
fof(f4368,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( c_in(X0,c_Relation_ODomain(c_inter(X1,X2,tc_prod(X3,X4)),X3,X4),X3)
| ~ c_in(c_Pair(X0,X5,X3,X4),X1,tc_prod(X3,X4))
| ~ c_in(c_Pair(X0,X5,X3,X4),X2,tc_prod(X3,X4)) )
| ~ spl0_513
| ~ spl0_533 ),
inference(resolution,[],[f4286,f4090]) ).
fof(f17683,plain,
( spl0_980
| ~ spl0_489
| ~ spl0_496 ),
inference(avatar_split_clause,[],[f4030,f3967,f3939,f17681]) ).
fof(f17681,plain,
( spl0_980
<=> ! [X0,X3,X2,X1] :
( c_in(c_Main_OUnionE__1(X0,c_insert(X1,X2,tc_set(X3)),X3),X2,tc_set(X3))
| c_Main_OUnionE__1(X0,c_insert(X1,X2,tc_set(X3)),X3) = X1
| ~ c_in(X0,c_Union(c_insert(X1,X2,tc_set(X3)),X3),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_980])]) ).
fof(f4030,plain,
( ! [X2,X3,X0,X1] :
( c_in(c_Main_OUnionE__1(X0,c_insert(X1,X2,tc_set(X3)),X3),X2,tc_set(X3))
| c_Main_OUnionE__1(X0,c_insert(X1,X2,tc_set(X3)),X3) = X1
| ~ c_in(X0,c_Union(c_insert(X1,X2,tc_set(X3)),X3),X3) )
| ~ spl0_489
| ~ spl0_496 ),
inference(resolution,[],[f3968,f3940]) ).
fof(f17643,plain,
( spl0_979
| ~ spl0_488
| ~ spl0_496 ),
inference(avatar_split_clause,[],[f4029,f3967,f3935,f17641]) ).
fof(f17641,plain,
( spl0_979
<=> ! [X0,X3,X2,X1] :
( c_in(c_Main_OInterI__1(X0,c_insert(X1,X2,tc_set(X3)),X3),X2,tc_set(X3))
| c_Main_OInterI__1(X0,c_insert(X1,X2,tc_set(X3)),X3) = X1
| c_in(X0,c_Inter(c_insert(X1,X2,tc_set(X3)),X3),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_979])]) ).
fof(f4029,plain,
( ! [X2,X3,X0,X1] :
( c_in(c_Main_OInterI__1(X0,c_insert(X1,X2,tc_set(X3)),X3),X2,tc_set(X3))
| c_Main_OInterI__1(X0,c_insert(X1,X2,tc_set(X3)),X3) = X1
| c_in(X0,c_Inter(c_insert(X1,X2,tc_set(X3)),X3),X3) )
| ~ spl0_488
| ~ spl0_496 ),
inference(resolution,[],[f3968,f3936]) ).
fof(f16482,plain,
( spl0_978
| ~ spl0_536
| ~ spl0_613 ),
inference(avatar_split_clause,[],[f5129,f5112,f4297,f16480]) ).
fof(f16480,plain,
( spl0_978
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(c_Pair(X0,c_List_Olist_OCons(X1,X2,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olistrel(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))
| c_in(X2,c_Relation_ORange(c_List_Olistrel(X4,X3),tc_List_Olist(X3),tc_List_Olist(X3)),tc_List_Olist(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_978])]) ).
fof(f5129,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(c_Pair(X0,c_List_Olist_OCons(X1,X2,X3),tc_List_Olist(X3),tc_List_Olist(X3)),c_List_Olistrel(X4,X3),tc_prod(tc_List_Olist(X3),tc_List_Olist(X3)))
| c_in(X2,c_Relation_ORange(c_List_Olistrel(X4,X3),tc_List_Olist(X3),tc_List_Olist(X3)),tc_List_Olist(X3)) )
| ~ spl0_536
| ~ spl0_613 ),
inference(resolution,[],[f5113,f4298]) ).
fof(f16478,plain,
( spl0_977
| ~ spl0_533
| ~ spl0_612 ),
inference(avatar_split_clause,[],[f5123,f5108,f4285,f16476]) ).
fof(f16476,plain,
( spl0_977
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),X3,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X4,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
| c_in(X1,c_Relation_ODomain(c_List_Olistrel(X4,X2),tc_List_Olist(X2),tc_List_Olist(X2)),tc_List_Olist(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_977])]) ).
fof(f5123,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(c_Pair(c_List_Olist_OCons(X0,X1,X2),X3,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X4,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
| c_in(X1,c_Relation_ODomain(c_List_Olistrel(X4,X2),tc_List_Olist(X2),tc_List_Olist(X2)),tc_List_Olist(X2)) )
| ~ spl0_533
| ~ spl0_612 ),
inference(resolution,[],[f5109,f4286]) ).
fof(f16474,plain,
( spl0_976
| ~ spl0_520
| ~ spl0_611 ),
inference(avatar_split_clause,[],[f5078,f5070,f4207,f16472]) ).
fof(f16472,plain,
( spl0_976
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
| c_in(c_Pair(X0,X1,X2,X3),c_Relation_Orel__comp(c_Relation_Odiag(X5,X3),X4,X3,X3,X2),tc_prod(X2,X3))
| ~ c_in(X1,X5,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_976])]) ).
fof(f4207,plain,
( spl0_520
<=> ! [X12,X1,X18] :
( ~ c_in(X18,X12,X1)
| c_in(c_Pair(X18,X18,X1,X1),c_Relation_Odiag(X12,X1),tc_prod(X1,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_520])]) ).
fof(f5078,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
| c_in(c_Pair(X0,X1,X2,X3),c_Relation_Orel__comp(c_Relation_Odiag(X5,X3),X4,X3,X3,X2),tc_prod(X2,X3))
| ~ c_in(X1,X5,X3) )
| ~ spl0_520
| ~ spl0_611 ),
inference(resolution,[],[f5071,f4208]) ).
fof(f4208,plain,
( ! [X18,X1,X12] :
( c_in(c_Pair(X18,X18,X1,X1),c_Relation_Odiag(X12,X1),tc_prod(X1,X1))
| ~ c_in(X18,X12,X1) )
| ~ spl0_520 ),
inference(avatar_component_clause,[],[f4207]) ).
fof(f16438,plain,
( spl0_975
| ~ spl0_538
| ~ spl0_595 ),
inference(avatar_split_clause,[],[f4900,f4887,f4305,f16436]) ).
fof(f16436,plain,
( spl0_975
<=> ! [X4,X0,X3,X2,X1] :
( c_in(c_Main_OPlusE__1(X0,c_Sum__Type_OInr(X1,X2,X3),X3,X2),X0,X3)
| c_Sum__Type_OInr(X1,X2,X3) = c_Sum__Type_OInr(c_Main_OPlusE__2(X4,c_Sum__Type_OInr(X1,X2,X3),X2,X3),X2,X3)
| ~ c_in(X1,X4,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_975])]) ).
fof(f4900,plain,
( ! [X2,X3,X0,X1,X4] :
( c_in(c_Main_OPlusE__1(X0,c_Sum__Type_OInr(X1,X2,X3),X3,X2),X0,X3)
| c_Sum__Type_OInr(X1,X2,X3) = c_Sum__Type_OInr(c_Main_OPlusE__2(X4,c_Sum__Type_OInr(X1,X2,X3),X2,X3),X2,X3)
| ~ c_in(X1,X4,X2) )
| ~ spl0_538
| ~ spl0_595 ),
inference(resolution,[],[f4888,f4306]) ).
fof(f16434,plain,
( spl0_974
| ~ spl0_537
| ~ spl0_594 ),
inference(avatar_split_clause,[],[f4896,f4883,f4301,f16432]) ).
fof(f16432,plain,
( spl0_974
<=> ! [X4,X0,X3,X2,X1] :
( c_in(c_Main_OPlusE__2(X0,c_Sum__Type_OInl(X1,X2,X3),X3,X2),X0,X3)
| c_Sum__Type_OInl(X1,X2,X3) = c_Sum__Type_OInl(c_Main_OPlusE__1(X4,c_Sum__Type_OInl(X1,X2,X3),X2,X3),X2,X3)
| ~ c_in(X1,X4,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_974])]) ).
fof(f4896,plain,
( ! [X2,X3,X0,X1,X4] :
( c_in(c_Main_OPlusE__2(X0,c_Sum__Type_OInl(X1,X2,X3),X3,X2),X0,X3)
| c_Sum__Type_OInl(X1,X2,X3) = c_Sum__Type_OInl(c_Main_OPlusE__1(X4,c_Sum__Type_OInl(X1,X2,X3),X2,X3),X2,X3)
| ~ c_in(X1,X4,X2) )
| ~ spl0_537
| ~ spl0_594 ),
inference(resolution,[],[f4884,f4302]) ).
fof(f16430,plain,
( spl0_973
| ~ spl0_455
| ~ spl0_580 ),
inference(avatar_split_clause,[],[f4750,f4698,f3701,f16428]) ).
fof(f16428,plain,
( spl0_973
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(c_Pow(X1,tc_Datatype__Universe_Onode(X2,X3)),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_lessequals(c_Main_OuprodE__1(c_Pow(X1,tc_Datatype__Universe_Onode(X2,X3)),X4,X0,X2,X3),X1,tc_set(tc_Datatype__Universe_Onode(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_973])]) ).
fof(f3701,plain,
( spl0_455
<=> ! [X13,X12,X1] :
( c_lessequals(X12,X13,tc_set(X1))
| ~ c_in(X12,c_Pow(X13,X1),tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_455])]) ).
fof(f4750,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(c_Pow(X1,tc_Datatype__Universe_Onode(X2,X3)),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_lessequals(c_Main_OuprodE__1(c_Pow(X1,tc_Datatype__Universe_Onode(X2,X3)),X4,X0,X2,X3),X1,tc_set(tc_Datatype__Universe_Onode(X2,X3))) )
| ~ spl0_455
| ~ spl0_580 ),
inference(resolution,[],[f4699,f3702]) ).
fof(f3702,plain,
( ! [X1,X12,X13] :
( ~ c_in(X12,c_Pow(X13,X1),tc_set(X1))
| c_lessequals(X12,X13,tc_set(X1)) )
| ~ spl0_455 ),
inference(avatar_component_clause,[],[f3701]) ).
fof(f16426,plain,
( spl0_972
| ~ spl0_382
| ~ spl0_580 ),
inference(avatar_split_clause,[],[f4736,f4698,f3353,f16424]) ).
fof(f16424,plain,
( spl0_972
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(c_insert(X1,c_emptyset,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_Main_OuprodE__1(c_insert(X1,c_emptyset,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X0,X2,X3) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_972])]) ).
fof(f4736,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(c_insert(X1,c_emptyset,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| c_Main_OuprodE__1(c_insert(X1,c_emptyset,tc_set(tc_Datatype__Universe_Onode(X2,X3))),X4,X0,X2,X3) = X1 )
| ~ spl0_382
| ~ spl0_580 ),
inference(resolution,[],[f4699,f3354]) ).
fof(f16422,plain,
( spl0_971
| ~ spl0_455
| ~ spl0_579 ),
inference(avatar_split_clause,[],[f4730,f4694,f3701,f16420]) ).
fof(f16420,plain,
( spl0_971
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(X1,c_Pow(X2,tc_Datatype__Universe_Onode(X3,X4)),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_lessequals(c_Main_OuprodE__2(X1,c_Pow(X2,tc_Datatype__Universe_Onode(X3,X4)),X0,X3,X4),X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_971])]) ).
fof(f4730,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(X1,c_Pow(X2,tc_Datatype__Universe_Onode(X3,X4)),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_lessequals(c_Main_OuprodE__2(X1,c_Pow(X2,tc_Datatype__Universe_Onode(X3,X4)),X0,X3,X4),X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))) )
| ~ spl0_455
| ~ spl0_579 ),
inference(resolution,[],[f4695,f3702]) ).
fof(f16418,plain,
( spl0_970
| ~ spl0_382
| ~ spl0_579 ),
inference(avatar_split_clause,[],[f4716,f4694,f3353,f16416]) ).
fof(f16416,plain,
( spl0_970
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(X1,c_insert(X2,c_emptyset,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_Main_OuprodE__2(X1,c_insert(X2,c_emptyset,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X0,X3,X4) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_970])]) ).
fof(f4716,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Datatype__Universe_Ouprod(X1,c_insert(X2,c_emptyset,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
| c_Main_OuprodE__2(X1,c_insert(X2,c_emptyset,tc_set(tc_Datatype__Universe_Onode(X3,X4))),X0,X3,X4) = X2 )
| ~ spl0_382
| ~ spl0_579 ),
inference(resolution,[],[f4695,f3354]) ).
fof(f16414,plain,
( spl0_969
| ~ spl0_410
| ~ spl0_570 ),
inference(avatar_split_clause,[],[f4627,f4557,f3501,f16412]) ).
fof(f16412,plain,
( spl0_969
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_ORange(c_uminus(X1,tc_set(tc_prod(X2,X3))),X2,X3),X3)
| ~ c_in(c_Pair(c_Main_ORangeE__1(X0,c_uminus(X1,tc_set(tc_prod(X2,X3))),X3,X2),X0,X2,X3),X1,tc_prod(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_969])]) ).
fof(f4627,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Relation_ORange(c_uminus(X1,tc_set(tc_prod(X2,X3))),X2,X3),X3)
| ~ c_in(c_Pair(c_Main_ORangeE__1(X0,c_uminus(X1,tc_set(tc_prod(X2,X3))),X3,X2),X0,X2,X3),X1,tc_prod(X2,X3)) )
| ~ spl0_410
| ~ spl0_570 ),
inference(resolution,[],[f4558,f3502]) ).
fof(f16410,plain,
( spl0_968
| ~ spl0_413
| ~ spl0_570 ),
inference(avatar_split_clause,[],[f4625,f4557,f3513,f16408]) ).
fof(f16408,plain,
( spl0_968
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_ORange(c_inter(X1,X2,tc_prod(X3,X4)),X3,X4),X4)
| c_in(c_Pair(c_Main_ORangeE__1(X0,c_inter(X1,X2,tc_prod(X3,X4)),X4,X3),X0,X3,X4),X2,tc_prod(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_968])]) ).
fof(f4625,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Relation_ORange(c_inter(X1,X2,tc_prod(X3,X4)),X3,X4),X4)
| c_in(c_Pair(c_Main_ORangeE__1(X0,c_inter(X1,X2,tc_prod(X3,X4)),X4,X3),X0,X3,X4),X2,tc_prod(X3,X4)) )
| ~ spl0_413
| ~ spl0_570 ),
inference(resolution,[],[f4558,f3514]) ).
fof(f16406,plain,
( spl0_967
| ~ spl0_414
| ~ spl0_570 ),
inference(avatar_split_clause,[],[f4624,f4557,f3517,f16404]) ).
fof(f16404,plain,
( spl0_967
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_ORange(c_inter(X1,X2,tc_prod(X3,X4)),X3,X4),X4)
| c_in(c_Pair(c_Main_ORangeE__1(X0,c_inter(X1,X2,tc_prod(X3,X4)),X4,X3),X0,X3,X4),X1,tc_prod(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_967])]) ).
fof(f4624,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Relation_ORange(c_inter(X1,X2,tc_prod(X3,X4)),X3,X4),X4)
| c_in(c_Pair(c_Main_ORangeE__1(X0,c_inter(X1,X2,tc_prod(X3,X4)),X4,X3),X0,X3,X4),X1,tc_prod(X3,X4)) )
| ~ spl0_414
| ~ spl0_570 ),
inference(resolution,[],[f4558,f3518]) ).
fof(f16402,plain,
( spl0_966
| ~ spl0_410
| ~ spl0_569 ),
inference(avatar_split_clause,[],[f4602,f4553,f3501,f16400]) ).
fof(f16400,plain,
( spl0_966
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_ODomain(c_uminus(X1,tc_set(tc_prod(X2,X3))),X2,X3),X2)
| ~ c_in(c_Pair(X0,c_Main_ODomainE__1(X0,c_uminus(X1,tc_set(tc_prod(X2,X3))),X2,X3),X2,X3),X1,tc_prod(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_966])]) ).
fof(f4602,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Relation_ODomain(c_uminus(X1,tc_set(tc_prod(X2,X3))),X2,X3),X2)
| ~ c_in(c_Pair(X0,c_Main_ODomainE__1(X0,c_uminus(X1,tc_set(tc_prod(X2,X3))),X2,X3),X2,X3),X1,tc_prod(X2,X3)) )
| ~ spl0_410
| ~ spl0_569 ),
inference(resolution,[],[f4554,f3502]) ).
fof(f16364,plain,
( spl0_965
| ~ spl0_413
| ~ spl0_569 ),
inference(avatar_split_clause,[],[f4600,f4553,f3513,f16362]) ).
fof(f16362,plain,
( spl0_965
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_ODomain(c_inter(X1,X2,tc_prod(X3,X4)),X3,X4),X3)
| c_in(c_Pair(X0,c_Main_ODomainE__1(X0,c_inter(X1,X2,tc_prod(X3,X4)),X3,X4),X3,X4),X2,tc_prod(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_965])]) ).
fof(f4600,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Relation_ODomain(c_inter(X1,X2,tc_prod(X3,X4)),X3,X4),X3)
| c_in(c_Pair(X0,c_Main_ODomainE__1(X0,c_inter(X1,X2,tc_prod(X3,X4)),X3,X4),X3,X4),X2,tc_prod(X3,X4)) )
| ~ spl0_413
| ~ spl0_569 ),
inference(resolution,[],[f4554,f3514]) ).
fof(f16360,plain,
( spl0_964
| ~ spl0_414
| ~ spl0_569 ),
inference(avatar_split_clause,[],[f4599,f4553,f3517,f16358]) ).
fof(f16358,plain,
( spl0_964
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_ODomain(c_inter(X1,X2,tc_prod(X3,X4)),X3,X4),X3)
| c_in(c_Pair(X0,c_Main_ODomainE__1(X0,c_inter(X1,X2,tc_prod(X3,X4)),X3,X4),X3,X4),X1,tc_prod(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_964])]) ).
fof(f4599,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Relation_ODomain(c_inter(X1,X2,tc_prod(X3,X4)),X3,X4),X3)
| c_in(c_Pair(X0,c_Main_ODomainE__1(X0,c_inter(X1,X2,tc_prod(X3,X4)),X3,X4),X3,X4),X1,tc_prod(X3,X4)) )
| ~ spl0_414
| ~ spl0_569 ),
inference(resolution,[],[f4554,f3518]) ).
fof(f16356,plain,
( spl0_963
| ~ spl0_430
| ~ spl0_529 ),
inference(avatar_split_clause,[],[f4272,f4244,f3600,f16354]) ).
fof(f16354,plain,
( spl0_963
<=> ! [X0,X3,X2,X1] :
( c_in(c_Main_OsubsetI__1(X0,c_minus(X1,X2,tc_set(X3)),X3),X2,X3)
| ~ c_in(c_Main_OsubsetI__1(X0,c_minus(X1,X2,tc_set(X3)),X3),X1,X3)
| c_lessequals(X0,c_minus(X1,X2,tc_set(X3)),tc_set(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_963])]) ).
fof(f4272,plain,
( ! [X2,X3,X0,X1] :
( c_in(c_Main_OsubsetI__1(X0,c_minus(X1,X2,tc_set(X3)),X3),X2,X3)
| ~ c_in(c_Main_OsubsetI__1(X0,c_minus(X1,X2,tc_set(X3)),X3),X1,X3)
| c_lessequals(X0,c_minus(X1,X2,tc_set(X3)),tc_set(X3)) )
| ~ spl0_430
| ~ spl0_529 ),
inference(resolution,[],[f4245,f3601]) ).
fof(f15894,plain,
( spl0_962
| ~ spl0_382
| ~ spl0_581 ),
inference(avatar_split_clause,[],[f4762,f4702,f3353,f15892]) ).
fof(f15892,plain,
( spl0_962
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_OImage(c_insert(X1,c_emptyset,tc_prod(X2,X3)),X4,X2,X3),X3)
| c_Pair(c_Main_OImageE__1(X4,X0,c_insert(X1,c_emptyset,tc_prod(X2,X3)),X2,X3),X0,X2,X3) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_962])]) ).
fof(f4762,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Relation_OImage(c_insert(X1,c_emptyset,tc_prod(X2,X3)),X4,X2,X3),X3)
| c_Pair(c_Main_OImageE__1(X4,X0,c_insert(X1,c_emptyset,tc_prod(X2,X3)),X2,X3),X0,X2,X3) = X1 )
| ~ spl0_382
| ~ spl0_581 ),
inference(resolution,[],[f4703,f3354]) ).
fof(f15890,plain,
( spl0_961
| ~ spl0_448
| ~ spl0_577 ),
inference(avatar_split_clause,[],[f4683,f4660,f3673,f15888]) ).
fof(f15888,plain,
( spl0_961
<=> ! [X5,X4,X0,X3,X2,X1] :
( c_in(X0,c_Relation_OImage(c_SetInterval_OgreaterThan(X1,tc_prod(X2,X3)),X4,X2,X3),X3)
| ~ c_in(X5,X4,X2)
| ~ c_less(X1,c_Pair(X5,X0,X2,X3),tc_prod(X2,X3))
| ~ class_Orderings_Oord(tc_prod(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_961])]) ).
fof(f4683,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( c_in(X0,c_Relation_OImage(c_SetInterval_OgreaterThan(X1,tc_prod(X2,X3)),X4,X2,X3),X3)
| ~ c_in(X5,X4,X2)
| ~ c_less(X1,c_Pair(X5,X0,X2,X3),tc_prod(X2,X3))
| ~ class_Orderings_Oord(tc_prod(X2,X3)) )
| ~ spl0_448
| ~ spl0_577 ),
inference(resolution,[],[f4661,f3674]) ).
fof(f15886,plain,
( spl0_960
| ~ spl0_650
| ~ spl0_800 ),
inference(avatar_split_clause,[],[f9501,f8878,f5667,f15884]) ).
fof(f15884,plain,
( spl0_960
<=> ! [X0] : c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Message_Oanalz(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)))),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_960])]) ).
fof(f9501,plain,
( ! [X0] : c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Message_Oanalz(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)))),tc_Message_Omsg)
| ~ spl0_650
| ~ spl0_800 ),
inference(resolution,[],[f8879,f5668]) ).
fof(f15882,plain,
( spl0_959
| ~ spl0_442
| ~ spl0_577 ),
inference(avatar_split_clause,[],[f4682,f4660,f3649,f15880]) ).
fof(f15880,plain,
( spl0_959
<=> ! [X5,X4,X0,X3,X2,X1] :
( c_in(X0,c_Relation_OImage(c_SetInterval_OatLeast(X1,tc_prod(X2,X3)),X4,X2,X3),X3)
| ~ c_in(X5,X4,X2)
| ~ c_lessequals(X1,c_Pair(X5,X0,X2,X3),tc_prod(X2,X3))
| ~ class_Orderings_Oord(tc_prod(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_959])]) ).
fof(f4682,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( c_in(X0,c_Relation_OImage(c_SetInterval_OatLeast(X1,tc_prod(X2,X3)),X4,X2,X3),X3)
| ~ c_in(X5,X4,X2)
| ~ c_lessequals(X1,c_Pair(X5,X0,X2,X3),tc_prod(X2,X3))
| ~ class_Orderings_Oord(tc_prod(X2,X3)) )
| ~ spl0_442
| ~ spl0_577 ),
inference(resolution,[],[f4661,f3650]) ).
fof(f15878,plain,
( spl0_958
| ~ spl0_451
| ~ spl0_577 ),
inference(avatar_split_clause,[],[f4680,f4660,f3685,f15876]) ).
fof(f15876,plain,
( spl0_958
<=> ! [X5,X4,X0,X3,X2,X1] :
( c_in(X0,c_Relation_OImage(c_SetInterval_OlessThan(X1,tc_prod(X2,X3)),X4,X2,X3),X3)
| ~ c_in(X5,X4,X2)
| ~ c_less(c_Pair(X5,X0,X2,X3),X1,tc_prod(X2,X3))
| ~ class_Orderings_Oord(tc_prod(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_958])]) ).
fof(f4680,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( c_in(X0,c_Relation_OImage(c_SetInterval_OlessThan(X1,tc_prod(X2,X3)),X4,X2,X3),X3)
| ~ c_in(X5,X4,X2)
| ~ c_less(c_Pair(X5,X0,X2,X3),X1,tc_prod(X2,X3))
| ~ class_Orderings_Oord(tc_prod(X2,X3)) )
| ~ spl0_451
| ~ spl0_577 ),
inference(resolution,[],[f4661,f3686]) ).
fof(f15874,plain,
( spl0_957
| ~ spl0_445
| ~ spl0_577 ),
inference(avatar_split_clause,[],[f4679,f4660,f3661,f15872]) ).
fof(f15872,plain,
( spl0_957
<=> ! [X5,X4,X0,X3,X2,X1] :
( c_in(X0,c_Relation_OImage(c_SetInterval_OatMost(X1,tc_prod(X2,X3)),X4,X2,X3),X3)
| ~ c_in(X5,X4,X2)
| ~ c_lessequals(c_Pair(X5,X0,X2,X3),X1,tc_prod(X2,X3))
| ~ class_Orderings_Oord(tc_prod(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_957])]) ).
fof(f4679,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( c_in(X0,c_Relation_OImage(c_SetInterval_OatMost(X1,tc_prod(X2,X3)),X4,X2,X3),X3)
| ~ c_in(X5,X4,X2)
| ~ c_lessequals(c_Pair(X5,X0,X2,X3),X1,tc_prod(X2,X3))
| ~ class_Orderings_Oord(tc_prod(X2,X3)) )
| ~ spl0_445
| ~ spl0_577 ),
inference(resolution,[],[f4661,f3662]) ).
fof(f15870,plain,
( spl0_956
| ~ spl0_516
| ~ spl0_576 ),
inference(avatar_split_clause,[],[f4654,f4582,f4101,f15868]) ).
fof(f15868,plain,
( spl0_956
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ c_in(c_Pair(X0,X1,X2,tc_set(X3)),X4,tc_prod(X2,tc_set(X3)))
| ~ c_in(X5,X1,X3)
| c_in(X5,c_Union(c_Relation_OImage(X4,c_insert(X0,c_emptyset,X2),X2,tc_set(X3)),X3),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_956])]) ).
fof(f4654,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(c_Pair(X0,X1,X2,tc_set(X3)),X4,tc_prod(X2,tc_set(X3)))
| ~ c_in(X5,X1,X3)
| c_in(X5,c_Union(c_Relation_OImage(X4,c_insert(X0,c_emptyset,X2),X2,tc_set(X3)),X3),X3) )
| ~ spl0_516
| ~ spl0_576 ),
inference(resolution,[],[f4583,f4102]) ).
fof(f15866,plain,
( spl0_955
| ~ spl0_407
| ~ spl0_570 ),
inference(avatar_split_clause,[],[f4634,f4557,f3489,f15864]) ).
fof(f15864,plain,
( spl0_955
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_ORange(c_Datatype_Oo2s(X1,tc_prod(X2,X3)),X2,X3),X3)
| c_Datatype_Ooption_OSome(c_Pair(c_Main_ORangeE__1(X0,c_Datatype_Oo2s(X1,tc_prod(X2,X3)),X3,X2),X0,X2,X3),tc_prod(X2,X3)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_955])]) ).
fof(f4634,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Relation_ORange(c_Datatype_Oo2s(X1,tc_prod(X2,X3)),X2,X3),X3)
| c_Datatype_Ooption_OSome(c_Pair(c_Main_ORangeE__1(X0,c_Datatype_Oo2s(X1,tc_prod(X2,X3)),X3,X2),X0,X2,X3),tc_prod(X2,X3)) = X1 )
| ~ spl0_407
| ~ spl0_570 ),
inference(resolution,[],[f4558,f3490]) ).
fof(f15862,plain,
( spl0_954
| ~ spl0_407
| ~ spl0_569 ),
inference(avatar_split_clause,[],[f4609,f4553,f3489,f15860]) ).
fof(f15860,plain,
( spl0_954
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_ODomain(c_Datatype_Oo2s(X1,tc_prod(X2,X3)),X2,X3),X2)
| c_Datatype_Ooption_OSome(c_Pair(X0,c_Main_ODomainE__1(X0,c_Datatype_Oo2s(X1,tc_prod(X2,X3)),X2,X3),X2,X3),tc_prod(X2,X3)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_954])]) ).
fof(f4609,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Relation_ODomain(c_Datatype_Oo2s(X1,tc_prod(X2,X3)),X2,X3),X2)
| c_Datatype_Ooption_OSome(c_Pair(X0,c_Main_ODomainE__1(X0,c_Datatype_Oo2s(X1,tc_prod(X2,X3)),X2,X3),X2,X3),tc_prod(X2,X3)) = X1 )
| ~ spl0_407
| ~ spl0_569 ),
inference(resolution,[],[f4554,f3490]) ).
fof(f15858,plain,
( spl0_953
| ~ spl0_516
| ~ spl0_567 ),
inference(avatar_split_clause,[],[f4586,f4545,f4101,f15856]) ).
fof(f15856,plain,
( spl0_953
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ c_in(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ c_in(X4,c_Datatype__Universe_OIn1(X0,X2,X3),tc_Datatype__Universe_Onode(X2,X3))
| c_in(X4,c_Union(c_Datatype__Universe_Ousum(X5,X1,X2,X3),tc_Datatype__Universe_Onode(X2,X3)),tc_Datatype__Universe_Onode(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_953])]) ).
fof(f4586,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ c_in(X4,c_Datatype__Universe_OIn1(X0,X2,X3),tc_Datatype__Universe_Onode(X2,X3))
| c_in(X4,c_Union(c_Datatype__Universe_Ousum(X5,X1,X2,X3),tc_Datatype__Universe_Onode(X2,X3)),tc_Datatype__Universe_Onode(X2,X3)) )
| ~ spl0_516
| ~ spl0_567 ),
inference(resolution,[],[f4546,f4102]) ).
fof(f15854,plain,
( spl0_952
| ~ spl0_516
| ~ spl0_566 ),
inference(avatar_split_clause,[],[f4585,f4541,f4101,f15852]) ).
fof(f15852,plain,
( spl0_952
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ c_in(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ c_in(X4,c_Datatype__Universe_OIn0(X0,X2,X3),tc_Datatype__Universe_Onode(X2,X3))
| c_in(X4,c_Union(c_Datatype__Universe_Ousum(X1,X5,X2,X3),tc_Datatype__Universe_Onode(X2,X3)),tc_Datatype__Universe_Onode(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_952])]) ).
fof(f4585,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ c_in(X4,c_Datatype__Universe_OIn0(X0,X2,X3),tc_Datatype__Universe_Onode(X2,X3))
| c_in(X4,c_Union(c_Datatype__Universe_Ousum(X1,X5,X2,X3),tc_Datatype__Universe_Onode(X2,X3)),tc_Datatype__Universe_Onode(X2,X3)) )
| ~ spl0_516
| ~ spl0_566 ),
inference(resolution,[],[f4542,f4102]) ).
fof(f15850,plain,
( spl0_951
| ~ spl0_407
| ~ spl0_564 ),
inference(avatar_split_clause,[],[f4532,f4512,f3489,f15848]) ).
fof(f15848,plain,
( spl0_951
<=> ! [X0,X1] :
( c_in(c_Union(c_Datatype_Oo2s(X0,tc_set(X1)),X1),c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(c_Datatype_Oo2s(X0,tc_set(X1)),c_Finite__Set_OFinites,tc_set(tc_set(X1)))
| c_Datatype_Ooption_OSome(c_Main_Ofinite__Union__1(c_Datatype_Oo2s(X0,tc_set(X1)),X1),tc_set(X1)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_951])]) ).
fof(f4532,plain,
( ! [X0,X1] :
( c_in(c_Union(c_Datatype_Oo2s(X0,tc_set(X1)),X1),c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(c_Datatype_Oo2s(X0,tc_set(X1)),c_Finite__Set_OFinites,tc_set(tc_set(X1)))
| c_Datatype_Ooption_OSome(c_Main_Ofinite__Union__1(c_Datatype_Oo2s(X0,tc_set(X1)),X1),tc_set(X1)) = X0 )
| ~ spl0_407
| ~ spl0_564 ),
inference(resolution,[],[f4513,f3490]) ).
fof(f15846,plain,
( spl0_950
| ~ spl0_382
| ~ spl0_564 ),
inference(avatar_split_clause,[],[f4522,f4512,f3353,f15844]) ).
fof(f15844,plain,
( spl0_950
<=> ! [X0,X1] :
( c_in(c_Union(c_insert(X0,c_emptyset,tc_set(X1)),X1),c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(c_insert(X0,c_emptyset,tc_set(X1)),c_Finite__Set_OFinites,tc_set(tc_set(X1)))
| c_Main_Ofinite__Union__1(c_insert(X0,c_emptyset,tc_set(X1)),X1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_950])]) ).
fof(f4522,plain,
( ! [X0,X1] :
( c_in(c_Union(c_insert(X0,c_emptyset,tc_set(X1)),X1),c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(c_insert(X0,c_emptyset,tc_set(X1)),c_Finite__Set_OFinites,tc_set(tc_set(X1)))
| c_Main_Ofinite__Union__1(c_insert(X0,c_emptyset,tc_set(X1)),X1) = X0 )
| ~ spl0_382
| ~ spl0_564 ),
inference(resolution,[],[f4513,f3354]) ).
fof(f15842,plain,
( spl0_949
| ~ spl0_652
| ~ spl0_800 ),
inference(avatar_split_clause,[],[f9499,f8878,f5675,f15840]) ).
fof(f15840,plain,
( spl0_949
<=> ! [X0] : c_in(X0,c_Message_Oparts(c_Message_Oanalz(c_Message_Oanalz(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)))),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_949])]) ).
fof(f9499,plain,
( ! [X0] : c_in(X0,c_Message_Oparts(c_Message_Oanalz(c_Message_Oanalz(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)))),tc_Message_Omsg)
| ~ spl0_652
| ~ spl0_800 ),
inference(resolution,[],[f8879,f5676]) ).
fof(f15838,plain,
( spl0_948
| ~ spl0_472
| ~ spl0_536 ),
inference(avatar_split_clause,[],[f4391,f4297,f3846,f15836]) ).
fof(f15836,plain,
( spl0_948
<=> ! [X4,X0,X3,X2,X1] :
( c_in(X0,c_Relation_ORange(c_Main_OUnionE__1(c_Pair(X1,X0,X2,X3),X4,tc_prod(X2,X3)),X2,X3),X3)
| ~ c_in(c_Pair(X1,X0,X2,X3),c_Union(X4,tc_prod(X2,X3)),tc_prod(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_948])]) ).
fof(f4391,plain,
( ! [X2,X3,X0,X1,X4] :
( c_in(X0,c_Relation_ORange(c_Main_OUnionE__1(c_Pair(X1,X0,X2,X3),X4,tc_prod(X2,X3)),X2,X3),X3)
| ~ c_in(c_Pair(X1,X0,X2,X3),c_Union(X4,tc_prod(X2,X3)),tc_prod(X2,X3)) )
| ~ spl0_472
| ~ spl0_536 ),
inference(resolution,[],[f4298,f3847]) ).
fof(f15834,plain,
( spl0_947
| ~ spl0_472
| ~ spl0_533 ),
inference(avatar_split_clause,[],[f4364,f4285,f3846,f15832]) ).
fof(f15832,plain,
( spl0_947
<=> ! [X4,X0,X3,X2,X1] :
( c_in(X0,c_Relation_ODomain(c_Main_OUnionE__1(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3)),X2,X3),X2)
| ~ c_in(c_Pair(X0,X1,X2,X3),c_Union(X4,tc_prod(X2,X3)),tc_prod(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_947])]) ).
fof(f4364,plain,
( ! [X2,X3,X0,X1,X4] :
( c_in(X0,c_Relation_ODomain(c_Main_OUnionE__1(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3)),X2,X3),X2)
| ~ c_in(c_Pair(X0,X1,X2,X3),c_Union(X4,tc_prod(X2,X3)),tc_prod(X2,X3)) )
| ~ spl0_472
| ~ spl0_533 ),
inference(resolution,[],[f4286,f3847]) ).
fof(f15830,plain,
( spl0_946
| ~ spl0_486
| ~ spl0_513 ),
inference(avatar_split_clause,[],[f4153,f4089,f3927,f15828]) ).
fof(f15828,plain,
( spl0_946
<=> ! [X0,X3,X2,X1] :
( ~ c_in(c_Main_Oin__listsI__1(c_inter(X0,X1,X2),X3,X2),X0,X2)
| ~ c_in(c_Main_Oin__listsI__1(c_inter(X0,X1,X2),X3,X2),X1,X2)
| c_in(X3,c_List_Olists(c_inter(X0,X1,X2),X2),tc_List_Olist(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_946])]) ).
fof(f4153,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(c_Main_Oin__listsI__1(c_inter(X0,X1,X2),X3,X2),X0,X2)
| ~ c_in(c_Main_Oin__listsI__1(c_inter(X0,X1,X2),X3,X2),X1,X2)
| c_in(X3,c_List_Olists(c_inter(X0,X1,X2),X2),tc_List_Olist(X2)) )
| ~ spl0_486
| ~ spl0_513 ),
inference(resolution,[],[f4090,f3928]) ).
fof(f15297,plain,
( spl0_945
| ~ spl0_650
| ~ spl0_799 ),
inference(avatar_split_clause,[],[f9434,f8655,f5667,f15295]) ).
fof(f15295,plain,
( spl0_945
<=> ! [X0] : c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_Message_Oanalz(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)))),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_945])]) ).
fof(f9434,plain,
( ! [X0] : c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_Message_Oanalz(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)))),tc_Message_Omsg)
| ~ spl0_650
| ~ spl0_799 ),
inference(resolution,[],[f8656,f5668]) ).
fof(f14801,plain,
( spl0_944
| ~ spl0_482
| ~ spl0_616 ),
inference(avatar_split_clause,[],[f5176,f5139,f3886,f14799]) ).
fof(f14799,plain,
( spl0_944
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(c_Relation_OId,X1,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_Main_OdprodE__1(X0,c_Relation_OId,X1,X2,X3) = c_Main_OdprodE__3(X0,c_Relation_OId,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_944])]) ).
fof(f3886,plain,
( spl0_482
<=> ! [X18,X27,X1] :
( X18 = X27
| ~ c_in(c_Pair(X18,X27,X1,X1),c_Relation_OId,tc_prod(X1,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_482])]) ).
fof(f5176,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(c_Relation_OId,X1,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_Main_OdprodE__1(X0,c_Relation_OId,X1,X2,X3) = c_Main_OdprodE__3(X0,c_Relation_OId,X1,X2,X3) )
| ~ spl0_482
| ~ spl0_616 ),
inference(resolution,[],[f5140,f3887]) ).
fof(f3887,plain,
( ! [X18,X1,X27] :
( ~ c_in(c_Pair(X18,X27,X1,X1),c_Relation_OId,tc_prod(X1,X1))
| X18 = X27 )
| ~ spl0_482 ),
inference(avatar_component_clause,[],[f3886]) ).
fof(f14797,plain,
( spl0_943
| ~ spl0_482
| ~ spl0_615 ),
inference(avatar_split_clause,[],[f5146,f5135,f3886,f14795]) ).
fof(f14795,plain,
( spl0_943
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,c_Relation_OId,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_Main_OdprodE__2(X0,X1,c_Relation_OId,X2,X3) = c_Main_OdprodE__4(X0,X1,c_Relation_OId,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_943])]) ).
fof(f5146,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Datatype__Universe_Odprod(X1,c_Relation_OId,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| c_Main_OdprodE__2(X0,X1,c_Relation_OId,X2,X3) = c_Main_OdprodE__4(X0,X1,c_Relation_OId,X2,X3) )
| ~ spl0_482
| ~ spl0_615 ),
inference(resolution,[],[f5136,f3887]) ).
fof(f14793,plain,
( spl0_942
| ~ spl0_498
| ~ spl0_611 ),
inference(avatar_split_clause,[],[f5079,f5070,f3975,f14791]) ).
fof(f14791,plain,
( spl0_942
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(c_Pair(X0,X1,X2,tc_nat),X3,tc_prod(X2,tc_nat))
| c_in(c_Pair(X0,X4,X2,tc_nat),c_Relation_Orel__comp(c_Wellfounded__Relations_Oless__than,X3,tc_nat,tc_nat,X2),tc_prod(X2,tc_nat))
| ~ c_less(X1,X4,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_942])]) ).
fof(f3975,plain,
( spl0_498
<=> ! [X0,X3] :
( ~ c_less(X0,X3,tc_nat)
| c_in(c_Pair(X0,X3,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_498])]) ).
fof(f5079,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(c_Pair(X0,X1,X2,tc_nat),X3,tc_prod(X2,tc_nat))
| c_in(c_Pair(X0,X4,X2,tc_nat),c_Relation_Orel__comp(c_Wellfounded__Relations_Oless__than,X3,tc_nat,tc_nat,X2),tc_prod(X2,tc_nat))
| ~ c_less(X1,X4,tc_nat) )
| ~ spl0_498
| ~ spl0_611 ),
inference(resolution,[],[f5071,f3976]) ).
fof(f3976,plain,
( ! [X3,X0] :
( c_in(c_Pair(X0,X3,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat))
| ~ c_less(X0,X3,tc_nat) )
| ~ spl0_498 ),
inference(avatar_component_clause,[],[f3975]) ).
fof(f14789,plain,
( spl0_941
| ~ spl0_577
| ~ spl0_592 ),
inference(avatar_split_clause,[],[f4875,f4840,f4660,f14787]) ).
fof(f14787,plain,
( spl0_941
<=> ! [X4,X0,X3,X2,X1] :
( c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)),X2)
| ~ c_Wellfounded__Recursion_Owf(X3,X2)
| c_in(X0,c_Relation_OImage(c_Transitive__Closure_Ortrancl(X3,X2),X4,X2,X2),X2)
| ~ c_in(X1,X4,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_941])]) ).
fof(f4875,plain,
( ! [X2,X3,X0,X1,X4] :
( c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)),X2)
| ~ c_Wellfounded__Recursion_Owf(X3,X2)
| c_in(X0,c_Relation_OImage(c_Transitive__Closure_Ortrancl(X3,X2),X4,X2,X2),X2)
| ~ c_in(X1,X4,X2) )
| ~ spl0_577
| ~ spl0_592 ),
inference(resolution,[],[f4841,f4661]) ).
fof(f14785,plain,
( spl0_940
| ~ spl0_577
| ~ spl0_591 ),
inference(avatar_split_clause,[],[f4872,f4835,f4660,f14783]) ).
fof(f14783,plain,
( spl0_940
<=> ! [X4,X0,X3,X2,X1] :
( c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)),X2)
| ~ c_Wellfounded__Recursion_Oacyclic(X3,X2)
| c_in(X0,c_Relation_OImage(c_Transitive__Closure_Ortrancl(X3,X2),X4,X2,X2),X2)
| ~ c_in(X1,X4,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_940])]) ).
fof(f4872,plain,
( ! [X2,X3,X0,X1,X4] :
( c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)),X2)
| ~ c_Wellfounded__Recursion_Oacyclic(X3,X2)
| c_in(X0,c_Relation_OImage(c_Transitive__Closure_Ortrancl(X3,X2),X4,X2,X2),X2)
| ~ c_in(X1,X4,X2) )
| ~ spl0_577
| ~ spl0_591 ),
inference(resolution,[],[f4836,f4661]) ).
fof(f14781,plain,
( spl0_939
| ~ spl0_577
| ~ spl0_590 ),
inference(avatar_split_clause,[],[f4843,f4831,f4660,f14779]) ).
fof(f14779,plain,
( spl0_939
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_Oconverse(X1,X2,X3),tc_prod(X3,X2))
| c_in(c_Main_OconverseE__2(X1,X0,X2,X3),c_Relation_OImage(X1,X4,X2,X3),X3)
| ~ c_in(c_Main_OconverseE__1(X1,X0,X2,X3),X4,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_939])]) ).
fof(f4843,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Relation_Oconverse(X1,X2,X3),tc_prod(X3,X2))
| c_in(c_Main_OconverseE__2(X1,X0,X2,X3),c_Relation_OImage(X1,X4,X2,X3),X3)
| ~ c_in(c_Main_OconverseE__1(X1,X0,X2,X3),X4,X2) )
| ~ spl0_577
| ~ spl0_590 ),
inference(resolution,[],[f4832,f4661]) ).
fof(f14777,plain,
( spl0_938
| ~ spl0_652
| ~ spl0_799 ),
inference(avatar_split_clause,[],[f9432,f8655,f5675,f14775]) ).
fof(f14775,plain,
( spl0_938
<=> ! [X0] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Message_Oanalz(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)))),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_938])]) ).
fof(f9432,plain,
( ! [X0] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Message_Oanalz(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)))),tc_Message_Omsg)
| ~ spl0_652
| ~ spl0_799 ),
inference(resolution,[],[f8656,f5676]) ).
fof(f14773,plain,
( spl0_937
| ~ spl0_581
| ~ spl0_585 ),
inference(avatar_split_clause,[],[f4817,f4794,f4702,f14771]) ).
fof(f14771,plain,
( spl0_937
<=> ! [X0,X3,X2,X1] :
( c_in(c_Pair(c_Main_OImageE__1(X0,X1,c_Transitive__Closure_Otrancl(X2,X3),X3,X3),X1,X3,X3),c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3))
| ~ c_in(X1,c_Relation_OImage(c_Transitive__Closure_Otrancl(X2,X3),X0,X3,X3),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_937])]) ).
fof(f4817,plain,
( ! [X2,X3,X0,X1] :
( c_in(c_Pair(c_Main_OImageE__1(X0,X1,c_Transitive__Closure_Otrancl(X2,X3),X3,X3),X1,X3,X3),c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3))
| ~ c_in(X1,c_Relation_OImage(c_Transitive__Closure_Otrancl(X2,X3),X0,X3,X3),X3) )
| ~ spl0_581
| ~ spl0_585 ),
inference(resolution,[],[f4795,f4703]) ).
fof(f14769,plain,
( spl0_936
| ~ spl0_581
| ~ spl0_582 ),
inference(avatar_split_clause,[],[f4784,f4706,f4702,f14767]) ).
fof(f14767,plain,
( spl0_936
<=> ! [X4,X0,X3,X2,X1] :
( c_in(c_Pair(X0,c_Main_OImageE__1(X1,X0,c_Relation_Oconverse(X2,X3,X4),X4,X3),X3,X4),X2,tc_prod(X3,X4))
| ~ c_in(X0,c_Relation_OImage(c_Relation_Oconverse(X2,X3,X4),X1,X4,X3),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_936])]) ).
fof(f4784,plain,
( ! [X2,X3,X0,X1,X4] :
( c_in(c_Pair(X0,c_Main_OImageE__1(X1,X0,c_Relation_Oconverse(X2,X3,X4),X4,X3),X3,X4),X2,tc_prod(X3,X4))
| ~ c_in(X0,c_Relation_OImage(c_Relation_Oconverse(X2,X3,X4),X1,X4,X3),X3) )
| ~ spl0_581
| ~ spl0_582 ),
inference(resolution,[],[f4707,f4703]) ).
fof(f14765,plain,
( spl0_935
| ~ spl0_520
| ~ spl0_571 ),
inference(avatar_split_clause,[],[f4640,f4561,f4207,f14763]) ).
fof(f14763,plain,
( spl0_935
<=> ! [X2,X0,X1] :
( c_Pair(X1,X1,X2,X2) = c_Pair(c_Main_OdiagE__1(X0,c_Pair(X1,X1,X2,X2),X2),c_Main_OdiagE__1(X0,c_Pair(X1,X1,X2,X2),X2),X2,X2)
| ~ c_in(X1,X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_935])]) ).
fof(f4640,plain,
( ! [X2,X0,X1] :
( c_Pair(X1,X1,X2,X2) = c_Pair(c_Main_OdiagE__1(X0,c_Pair(X1,X1,X2,X2),X2),c_Main_OdiagE__1(X0,c_Pair(X1,X1,X2,X2),X2),X2,X2)
| ~ c_in(X1,X0,X2) )
| ~ spl0_520
| ~ spl0_571 ),
inference(resolution,[],[f4562,f4208]) ).
fof(f14761,plain,
( spl0_934
| ~ spl0_489
| ~ spl0_535 ),
inference(avatar_split_clause,[],[f4376,f4293,f3939,f14759]) ).
fof(f14759,plain,
( spl0_934
<=> ! [X4,X0,X3,X2,X1] :
( c_in(c_Main_OImageE__1(X0,c_Main_OUnionE__1(X1,c_Relation_OImage(X2,X0,X3,tc_set(X4)),X4),X2,X3,tc_set(X4)),X0,X3)
| ~ c_in(X1,c_Union(c_Relation_OImage(X2,X0,X3,tc_set(X4)),X4),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_934])]) ).
fof(f4376,plain,
( ! [X2,X3,X0,X1,X4] :
( c_in(c_Main_OImageE__1(X0,c_Main_OUnionE__1(X1,c_Relation_OImage(X2,X0,X3,tc_set(X4)),X4),X2,X3,tc_set(X4)),X0,X3)
| ~ c_in(X1,c_Union(c_Relation_OImage(X2,X0,X3,tc_set(X4)),X4),X4) )
| ~ spl0_489
| ~ spl0_535 ),
inference(resolution,[],[f4294,f3940]) ).
fof(f14757,plain,
( spl0_933
| ~ spl0_488
| ~ spl0_535 ),
inference(avatar_split_clause,[],[f4375,f4293,f3935,f14755]) ).
fof(f14755,plain,
( spl0_933
<=> ! [X4,X0,X3,X2,X1] :
( c_in(c_Main_OImageE__1(X0,c_Main_OInterI__1(X1,c_Relation_OImage(X2,X0,X3,tc_set(X4)),X4),X2,X3,tc_set(X4)),X0,X3)
| c_in(X1,c_Inter(c_Relation_OImage(X2,X0,X3,tc_set(X4)),X4),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_933])]) ).
fof(f4375,plain,
( ! [X2,X3,X0,X1,X4] :
( c_in(c_Main_OImageE__1(X0,c_Main_OInterI__1(X1,c_Relation_OImage(X2,X0,X3,tc_set(X4)),X4),X2,X3,tc_set(X4)),X0,X3)
| c_in(X1,c_Inter(c_Relation_OImage(X2,X0,X3,tc_set(X4)),X4),X4) )
| ~ spl0_488
| ~ spl0_535 ),
inference(resolution,[],[f4294,f3936]) ).
fof(f14538,plain,
( spl0_932
| ~ spl0_650
| ~ spl0_793 ),
inference(avatar_split_clause,[],[f9305,f8407,f5667,f14536]) ).
fof(f14536,plain,
( spl0_932
<=> ! [X0] : c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Message_Oparts(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)))),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_932])]) ).
fof(f9305,plain,
( ! [X0] : c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Message_Oparts(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)))),tc_Message_Omsg)
| ~ spl0_650
| ~ spl0_793 ),
inference(resolution,[],[f8408,f5668]) ).
fof(f14217,plain,
( spl0_931
| ~ spl0_500
| ~ spl0_581 ),
inference(avatar_split_clause,[],[f4772,f4702,f4037,f14215]) ).
fof(f14215,plain,
( spl0_931
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_OImage(c_Relation_Odiag(X1,X2),X3,X2,X2),X2)
| c_in(c_Main_OdiagE__1(X1,c_Pair(c_Main_OImageE__1(X3,X0,c_Relation_Odiag(X1,X2),X2,X2),X0,X2,X2),X2),X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_931])]) ).
fof(f4772,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Relation_OImage(c_Relation_Odiag(X1,X2),X3,X2,X2),X2)
| c_in(c_Main_OdiagE__1(X1,c_Pair(c_Main_OImageE__1(X3,X0,c_Relation_Odiag(X1,X2),X2,X2),X0,X2,X2),X2),X1,X2) )
| ~ spl0_500
| ~ spl0_581 ),
inference(resolution,[],[f4703,f4038]) ).
fof(f14213,plain,
( spl0_930
| ~ spl0_382
| ~ spl0_570 ),
inference(avatar_split_clause,[],[f4622,f4557,f3353,f14211]) ).
fof(f14211,plain,
( spl0_930
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_ORange(c_insert(X1,c_emptyset,tc_prod(X2,X3)),X2,X3),X3)
| c_Pair(c_Main_ORangeE__1(X0,c_insert(X1,c_emptyset,tc_prod(X2,X3)),X3,X2),X0,X2,X3) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_930])]) ).
fof(f4622,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Relation_ORange(c_insert(X1,c_emptyset,tc_prod(X2,X3)),X2,X3),X3)
| c_Pair(c_Main_ORangeE__1(X0,c_insert(X1,c_emptyset,tc_prod(X2,X3)),X3,X2),X0,X2,X3) = X1 )
| ~ spl0_382
| ~ spl0_570 ),
inference(resolution,[],[f4558,f3354]) ).
fof(f14209,plain,
( spl0_929
| ~ spl0_382
| ~ spl0_569 ),
inference(avatar_split_clause,[],[f4597,f4553,f3353,f14207]) ).
fof(f14207,plain,
( spl0_929
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_ODomain(c_insert(X1,c_emptyset,tc_prod(X2,X3)),X2,X3),X2)
| c_Pair(X0,c_Main_ODomainE__1(X0,c_insert(X1,c_emptyset,tc_prod(X2,X3)),X2,X3),X2,X3) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_929])]) ).
fof(f4597,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Relation_ODomain(c_insert(X1,c_emptyset,tc_prod(X2,X3)),X2,X3),X2)
| c_Pair(X0,c_Main_ODomainE__1(X0,c_insert(X1,c_emptyset,tc_prod(X2,X3)),X2,X3),X2,X3) = X1 )
| ~ spl0_382
| ~ spl0_569 ),
inference(resolution,[],[f4554,f3354]) ).
fof(f14205,plain,
( spl0_928
| ~ spl0_526
| ~ spl0_562 ),
inference(avatar_split_clause,[],[f4508,f4501,f4232,f14203]) ).
fof(f14203,plain,
( spl0_928
<=> ! [X2,X4,X0,X3,X1] :
( c_List_Olist_OCons(X2,X0,X1) != c_List_Olist_OCons(X3,X4,X1)
| c_append(c_List_Orev(X0,X1),c_List_Olist_OCons(X2,c_List_Olist_ONil,X1),X1) = c_append(c_List_Orev(X4,X1),c_List_Olist_OCons(X3,c_List_Olist_ONil,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_928])]) ).
fof(f4232,plain,
( spl0_526
<=> ! [X25,X1,X3] : c_List_Olist_OCons(X3,X25,X1) = c_List_Orev(c_append(c_List_Orev(X25,X1),c_List_Olist_OCons(X3,c_List_Olist_ONil,X1),X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_526])]) ).
fof(f4501,plain,
( spl0_562
<=> ! [X3,X23,X25,X1] :
( c_List_Olist_OCons(X3,X25,X1) != c_List_Orev(X23,X1)
| c_append(c_List_Orev(X25,X1),c_List_Olist_OCons(X3,c_List_Olist_ONil,X1),X1) = X23 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_562])]) ).
fof(f4508,plain,
( ! [X2,X3,X0,X1,X4] :
( c_List_Olist_OCons(X2,X0,X1) != c_List_Olist_OCons(X3,X4,X1)
| c_append(c_List_Orev(X0,X1),c_List_Olist_OCons(X2,c_List_Olist_ONil,X1),X1) = c_append(c_List_Orev(X4,X1),c_List_Olist_OCons(X3,c_List_Olist_ONil,X1),X1) )
| ~ spl0_526
| ~ spl0_562 ),
inference(superposition,[],[f4502,f4233]) ).
fof(f4233,plain,
( ! [X3,X1,X25] : c_List_Olist_OCons(X3,X25,X1) = c_List_Orev(c_append(c_List_Orev(X25,X1),c_List_Olist_OCons(X3,c_List_Olist_ONil,X1),X1),X1)
| ~ spl0_526 ),
inference(avatar_component_clause,[],[f4232]) ).
fof(f4502,plain,
( ! [X3,X1,X25,X23] :
( c_List_Olist_OCons(X3,X25,X1) != c_List_Orev(X23,X1)
| c_append(c_List_Orev(X25,X1),c_List_Olist_OCons(X3,c_List_Olist_ONil,X1),X1) = X23 )
| ~ spl0_562 ),
inference(avatar_component_clause,[],[f4501]) ).
fof(f14201,plain,
( spl0_927
| ~ spl0_546
| ~ spl0_559 ),
inference(avatar_split_clause,[],[f4489,f4458,f4338,f14199]) ).
fof(f14199,plain,
( spl0_927
<=> ! [X0,X3,X2,X1] :
( ~ c_lessequals(X0,c_insert(X1,c_emptyset,X2),tc_set(X2))
| ~ c_lessequals(X3,c_insert(X1,c_emptyset,X2),tc_set(X2))
| c_insert(X1,c_emptyset,X2) = c_insert(X1,c_union(X0,X3,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_927])]) ).
fof(f4338,plain,
( spl0_546
<=> ! [X12,X0,X1] :
( ~ c_lessequals(X12,c_insert(X0,c_emptyset,X1),tc_set(X1))
| c_insert(X0,c_emptyset,X1) = c_insert(X0,X12,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_546])]) ).
fof(f4458,plain,
( spl0_559
<=> ! [X13,X12,X32,X1] :
( ~ c_lessequals(X13,X32,tc_set(X1))
| ~ c_lessequals(X12,X32,tc_set(X1))
| c_lessequals(c_union(X12,X13,X1),X32,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_559])]) ).
fof(f4489,plain,
( ! [X2,X3,X0,X1] :
( ~ c_lessequals(X0,c_insert(X1,c_emptyset,X2),tc_set(X2))
| ~ c_lessequals(X3,c_insert(X1,c_emptyset,X2),tc_set(X2))
| c_insert(X1,c_emptyset,X2) = c_insert(X1,c_union(X0,X3,X2),X2) )
| ~ spl0_546
| ~ spl0_559 ),
inference(resolution,[],[f4459,f4339]) ).
fof(f4339,plain,
( ! [X0,X1,X12] :
( ~ c_lessequals(X12,c_insert(X0,c_emptyset,X1),tc_set(X1))
| c_insert(X0,c_emptyset,X1) = c_insert(X0,X12,X1) )
| ~ spl0_546 ),
inference(avatar_component_clause,[],[f4338]) ).
fof(f4459,plain,
( ! [X1,X12,X32,X13] :
( c_lessequals(c_union(X12,X13,X1),X32,tc_set(X1))
| ~ c_lessequals(X12,X32,tc_set(X1))
| ~ c_lessequals(X13,X32,tc_set(X1)) )
| ~ spl0_559 ),
inference(avatar_component_clause,[],[f4458]) ).
fof(f14197,plain,
( spl0_926
| ~ spl0_429
| ~ spl0_515 ),
inference(avatar_split_clause,[],[f4159,f4097,f3596,f14195]) ).
fof(f14195,plain,
( spl0_926
<=> ! [X0,X3,X2,X1] :
( c_in(c_Main_OsubsetI__1(c_union(X0,X1,X2),X3,X2),X1,X2)
| c_in(c_Main_OsubsetI__1(c_union(X0,X1,X2),X3,X2),X0,X2)
| c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_926])]) ).
fof(f4159,plain,
( ! [X2,X3,X0,X1] :
( c_in(c_Main_OsubsetI__1(c_union(X0,X1,X2),X3,X2),X1,X2)
| c_in(c_Main_OsubsetI__1(c_union(X0,X1,X2),X3,X2),X0,X2)
| c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2)) )
| ~ spl0_429
| ~ spl0_515 ),
inference(resolution,[],[f4098,f3597]) ).
fof(f14193,plain,
( spl0_925
| ~ spl0_430
| ~ spl0_513 ),
inference(avatar_split_clause,[],[f4154,f4089,f3600,f14191]) ).
fof(f14191,plain,
( spl0_925
<=> ! [X0,X3,X2,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_inter(X1,X2,X3),X3),X1,X3)
| ~ c_in(c_Main_OsubsetI__1(X0,c_inter(X1,X2,X3),X3),X2,X3)
| c_lessequals(X0,c_inter(X1,X2,X3),tc_set(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_925])]) ).
fof(f4154,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_inter(X1,X2,X3),X3),X1,X3)
| ~ c_in(c_Main_OsubsetI__1(X0,c_inter(X1,X2,X3),X3),X2,X3)
| c_lessequals(X0,c_inter(X1,X2,X3),tc_set(X3)) )
| ~ spl0_430
| ~ spl0_513 ),
inference(resolution,[],[f4090,f3601]) ).
fof(f14183,plain,
( spl0_924
| ~ spl0_652
| ~ spl0_793 ),
inference(avatar_split_clause,[],[f9303,f8407,f5675,f14181]) ).
fof(f14181,plain,
( spl0_924
<=> ! [X0] : c_in(X0,c_Message_Oparts(c_Message_Oanalz(c_Message_Oparts(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)))),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_924])]) ).
fof(f9303,plain,
( ! [X0] : c_in(X0,c_Message_Oparts(c_Message_Oanalz(c_Message_Oparts(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)))),tc_Message_Omsg)
| ~ spl0_652
| ~ spl0_793 ),
inference(resolution,[],[f8408,f5676]) ).
fof(f13786,plain,
( spl0_923
| ~ spl0_650
| ~ spl0_782 ),
inference(avatar_split_clause,[],[f9068,f8363,f5667,f13784]) ).
fof(f13784,plain,
( spl0_923
<=> ! [X0] : c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_Message_Oparts(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)))),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_923])]) ).
fof(f9068,plain,
( ! [X0] : c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_Message_Oparts(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)))),tc_Message_Omsg)
| ~ spl0_650
| ~ spl0_782 ),
inference(resolution,[],[f8364,f5668]) ).
fof(f13360,plain,
( spl0_922
| ~ spl0_561
| ~ spl0_613 ),
inference(avatar_split_clause,[],[f5131,f5112,f4497,f13358]) ).
fof(f13358,plain,
( spl0_922
<=> ! [X0,X3,X2,X1] :
( ~ c_in(c_Pair(X0,c_List_Olist_OCons(X1,c_List_Olist_ONil,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
| c_List_Olist_ONil = c_Main_Olistrel__Cons2__2(X3,X0,X1,c_List_Olist_ONil,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_922])]) ).
fof(f4497,plain,
( spl0_561
<=> ! [X5,X1,X23] :
( c_List_Olist_ONil = X23
| ~ c_in(c_Pair(X23,c_List_Olist_ONil,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_561])]) ).
fof(f5131,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(c_Pair(X0,c_List_Olist_OCons(X1,c_List_Olist_ONil,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X3,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
| c_List_Olist_ONil = c_Main_Olistrel__Cons2__2(X3,X0,X1,c_List_Olist_ONil,X2) )
| ~ spl0_561
| ~ spl0_613 ),
inference(resolution,[],[f5113,f4498]) ).
fof(f4498,plain,
( ! [X1,X5,X23] :
( ~ c_in(c_Pair(X23,c_List_Olist_ONil,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))
| c_List_Olist_ONil = X23 )
| ~ spl0_561 ),
inference(avatar_component_clause,[],[f4497]) ).
fof(f13356,plain,
( spl0_921
| ~ spl0_560
| ~ spl0_612 ),
inference(avatar_split_clause,[],[f5124,f5108,f4493,f13354]) ).
fof(f13354,plain,
( spl0_921
<=> ! [X0,X3,X2,X1] :
( ~ c_in(c_Pair(c_List_Olist_OCons(X0,c_List_Olist_ONil,X1),X2,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X3,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))
| c_List_Olist_ONil = c_Main_Olistrel__Cons1__2(X3,X2,X0,c_List_Olist_ONil,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_921])]) ).
fof(f4493,plain,
( spl0_560
<=> ! [X5,X1,X23] :
( c_List_Olist_ONil = X23
| ~ c_in(c_Pair(c_List_Olist_ONil,X23,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_560])]) ).
fof(f5124,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(c_Pair(c_List_Olist_OCons(X0,c_List_Olist_ONil,X1),X2,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X3,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))
| c_List_Olist_ONil = c_Main_Olistrel__Cons1__2(X3,X2,X0,c_List_Olist_ONil,X1) )
| ~ spl0_560
| ~ spl0_612 ),
inference(resolution,[],[f5109,f4494]) ).
fof(f4494,plain,
( ! [X1,X5,X23] :
( ~ c_in(c_Pair(c_List_Olist_ONil,X23,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))
| c_List_Olist_ONil = X23 )
| ~ spl0_560 ),
inference(avatar_component_clause,[],[f4493]) ).
fof(f13352,plain,
( spl0_920
| ~ spl0_431
| ~ spl0_611 ),
inference(avatar_split_clause,[],[f5077,f5070,f3604,f13350]) ).
fof(f13350,plain,
( spl0_920
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
| c_in(c_Pair(X0,X1,X2,X3),c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(X5,X3),X4,X3,X3,X2),tc_prod(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_920])]) ).
fof(f3604,plain,
( spl0_431
<=> ! [X18,X5,X1] : c_in(c_Pair(X18,X18,X1,X1),c_Transitive__Closure_Ortrancl(X5,X1),tc_prod(X1,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_431])]) ).
fof(f5077,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
| c_in(c_Pair(X0,X1,X2,X3),c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(X5,X3),X4,X3,X3,X2),tc_prod(X2,X3)) )
| ~ spl0_431
| ~ spl0_611 ),
inference(resolution,[],[f5071,f3605]) ).
fof(f3605,plain,
( ! [X18,X1,X5] : c_in(c_Pair(X18,X18,X1,X1),c_Transitive__Closure_Ortrancl(X5,X1),tc_prod(X1,X1))
| ~ spl0_431 ),
inference(avatar_component_clause,[],[f3604]) ).
fof(f13348,plain,
( spl0_919
| ~ spl0_497
| ~ spl0_606 ),
inference(avatar_split_clause,[],[f5025,f4978,f3971,f13346]) ).
fof(f13346,plain,
( spl0_919
<=> ! [X2,X0,X1] :
( ~ c_in(X0,c_Relation_Orel__comp(X1,c_Wellfounded__Relations_Oless__than,tc_nat,X2,tc_nat),tc_prod(tc_nat,X2))
| c_less(c_Main_Orel__compE__1(X1,c_Wellfounded__Relations_Oless__than,X0,tc_nat,X2,tc_nat),c_Main_Orel__compE__2(X1,c_Wellfounded__Relations_Oless__than,X0,tc_nat,X2,tc_nat),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_919])]) ).
fof(f3971,plain,
( spl0_497
<=> ! [X0,X3] :
( c_less(X0,X3,tc_nat)
| ~ c_in(c_Pair(X0,X3,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_497])]) ).
fof(f5025,plain,
( ! [X2,X0,X1] :
( ~ c_in(X0,c_Relation_Orel__comp(X1,c_Wellfounded__Relations_Oless__than,tc_nat,X2,tc_nat),tc_prod(tc_nat,X2))
| c_less(c_Main_Orel__compE__1(X1,c_Wellfounded__Relations_Oless__than,X0,tc_nat,X2,tc_nat),c_Main_Orel__compE__2(X1,c_Wellfounded__Relations_Oless__than,X0,tc_nat,X2,tc_nat),tc_nat) )
| ~ spl0_497
| ~ spl0_606 ),
inference(resolution,[],[f4979,f3972]) ).
fof(f3972,plain,
( ! [X3,X0] :
( ~ c_in(c_Pair(X0,X3,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat))
| c_less(X0,X3,tc_nat) )
| ~ spl0_497 ),
inference(avatar_component_clause,[],[f3971]) ).
fof(f13344,plain,
( spl0_918
| ~ spl0_497
| ~ spl0_605 ),
inference(avatar_split_clause,[],[f4995,f4974,f3971,f13342]) ).
fof(f13342,plain,
( spl0_918
<=> ! [X2,X0,X1] :
( ~ c_in(X0,c_Relation_Orel__comp(c_Wellfounded__Relations_Oless__than,X1,tc_nat,tc_nat,X2),tc_prod(X2,tc_nat))
| c_less(c_Main_Orel__compE__2(c_Wellfounded__Relations_Oless__than,X1,X0,tc_nat,tc_nat,X2),c_Main_Orel__compE__3(c_Wellfounded__Relations_Oless__than,X1,X0,tc_nat,tc_nat,X2),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_918])]) ).
fof(f4995,plain,
( ! [X2,X0,X1] :
( ~ c_in(X0,c_Relation_Orel__comp(c_Wellfounded__Relations_Oless__than,X1,tc_nat,tc_nat,X2),tc_prod(X2,tc_nat))
| c_less(c_Main_Orel__compE__2(c_Wellfounded__Relations_Oless__than,X1,X0,tc_nat,tc_nat,X2),c_Main_Orel__compE__3(c_Wellfounded__Relations_Oless__than,X1,X0,tc_nat,tc_nat,X2),tc_nat) )
| ~ spl0_497
| ~ spl0_605 ),
inference(resolution,[],[f4975,f3972]) ).
fof(f13340,plain,
( spl0_917
| ~ spl0_531
| ~ spl0_586 ),
inference(avatar_split_clause,[],[f4820,f4798,f4276,f13338]) ).
fof(f13338,plain,
( spl0_917
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
| ~ c_in(X3,c_List_Olists(X1,X2),tc_List_Olist(X2))
| ~ c_in(X4,c_List_Oset(c_append(X0,X3,X2),X2),X2)
| c_in(X4,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_917])]) ).
fof(f4276,plain,
( spl0_531
<=> ! [X24,X23,X12,X1] :
( c_in(X24,X12,X1)
| ~ c_in(X24,c_List_Oset(X23,X1),X1)
| ~ c_in(X23,c_List_Olists(X12,X1),tc_List_Olist(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_531])]) ).
fof(f4798,plain,
( spl0_586
<=> ! [X23,X12,X25,X1] :
( ~ c_in(X25,c_List_Olists(X12,X1),tc_List_Olist(X1))
| ~ c_in(X23,c_List_Olists(X12,X1),tc_List_Olist(X1))
| c_in(c_append(X23,X25,X1),c_List_Olists(X12,X1),tc_List_Olist(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_586])]) ).
fof(f4820,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
| ~ c_in(X3,c_List_Olists(X1,X2),tc_List_Olist(X2))
| ~ c_in(X4,c_List_Oset(c_append(X0,X3,X2),X2),X2)
| c_in(X4,X1,X2) )
| ~ spl0_531
| ~ spl0_586 ),
inference(resolution,[],[f4799,f4277]) ).
fof(f4277,plain,
( ! [X1,X24,X12,X23] :
( ~ c_in(X23,c_List_Olists(X12,X1),tc_List_Olist(X1))
| ~ c_in(X24,c_List_Oset(X23,X1),X1)
| c_in(X24,X12,X1) )
| ~ spl0_531 ),
inference(avatar_component_clause,[],[f4276]) ).
fof(f4799,plain,
( ! [X1,X25,X23,X12] :
( c_in(c_append(X23,X25,X1),c_List_Olists(X12,X1),tc_List_Olist(X1))
| ~ c_in(X23,c_List_Olists(X12,X1),tc_List_Olist(X1))
| ~ c_in(X25,c_List_Olists(X12,X1),tc_List_Olist(X1)) )
| ~ spl0_586 ),
inference(avatar_component_clause,[],[f4798]) ).
fof(f13336,plain,
( spl0_916
| ~ spl0_652
| ~ spl0_782 ),
inference(avatar_split_clause,[],[f9066,f8363,f5675,f13334]) ).
fof(f9066,plain,
( ! [X0] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)))),tc_Message_Omsg)
| ~ spl0_652
| ~ spl0_782 ),
inference(resolution,[],[f8364,f5676]) ).
fof(f13332,plain,
( spl0_915
| ~ spl0_570
| ~ spl0_585 ),
inference(avatar_split_clause,[],[f4816,f4794,f4557,f13330]) ).
fof(f13330,plain,
( spl0_915
<=> ! [X2,X0,X1] :
( c_in(c_Pair(c_Main_ORangeE__1(X0,c_Transitive__Closure_Otrancl(X1,X2),X2,X2),X0,X2,X2),c_Transitive__Closure_Ortrancl(X1,X2),tc_prod(X2,X2))
| ~ c_in(X0,c_Relation_ORange(c_Transitive__Closure_Otrancl(X1,X2),X2,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_915])]) ).
fof(f4816,plain,
( ! [X2,X0,X1] :
( c_in(c_Pair(c_Main_ORangeE__1(X0,c_Transitive__Closure_Otrancl(X1,X2),X2,X2),X0,X2,X2),c_Transitive__Closure_Ortrancl(X1,X2),tc_prod(X2,X2))
| ~ c_in(X0,c_Relation_ORange(c_Transitive__Closure_Otrancl(X1,X2),X2,X2),X2) )
| ~ spl0_570
| ~ spl0_585 ),
inference(resolution,[],[f4795,f4558]) ).
fof(f13328,plain,
( spl0_914
| ~ spl0_569
| ~ spl0_585 ),
inference(avatar_split_clause,[],[f4815,f4794,f4553,f13326]) ).
fof(f13326,plain,
( spl0_914
<=> ! [X2,X0,X1] :
( c_in(c_Pair(X0,c_Main_ODomainE__1(X0,c_Transitive__Closure_Otrancl(X1,X2),X2,X2),X2,X2),c_Transitive__Closure_Ortrancl(X1,X2),tc_prod(X2,X2))
| ~ c_in(X0,c_Relation_ODomain(c_Transitive__Closure_Otrancl(X1,X2),X2,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_914])]) ).
fof(f4815,plain,
( ! [X2,X0,X1] :
( c_in(c_Pair(X0,c_Main_ODomainE__1(X0,c_Transitive__Closure_Otrancl(X1,X2),X2,X2),X2,X2),c_Transitive__Closure_Ortrancl(X1,X2),tc_prod(X2,X2))
| ~ c_in(X0,c_Relation_ODomain(c_Transitive__Closure_Otrancl(X1,X2),X2,X2),X2) )
| ~ spl0_569
| ~ spl0_585 ),
inference(resolution,[],[f4795,f4554]) ).
fof(f13324,plain,
( spl0_913
| ~ spl0_570
| ~ spl0_582 ),
inference(avatar_split_clause,[],[f4783,f4706,f4557,f13322]) ).
fof(f13322,plain,
( spl0_913
<=> ! [X0,X3,X2,X1] :
( c_in(c_Pair(X0,c_Main_ORangeE__1(X0,c_Relation_Oconverse(X1,X2,X3),X2,X3),X2,X3),X1,tc_prod(X2,X3))
| ~ c_in(X0,c_Relation_ORange(c_Relation_Oconverse(X1,X2,X3),X3,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_913])]) ).
fof(f4783,plain,
( ! [X2,X3,X0,X1] :
( c_in(c_Pair(X0,c_Main_ORangeE__1(X0,c_Relation_Oconverse(X1,X2,X3),X2,X3),X2,X3),X1,tc_prod(X2,X3))
| ~ c_in(X0,c_Relation_ORange(c_Relation_Oconverse(X1,X2,X3),X3,X2),X2) )
| ~ spl0_570
| ~ spl0_582 ),
inference(resolution,[],[f4707,f4558]) ).
fof(f13320,plain,
( spl0_912
| ~ spl0_569
| ~ spl0_582 ),
inference(avatar_split_clause,[],[f4782,f4706,f4553,f13318]) ).
fof(f13318,plain,
( spl0_912
<=> ! [X0,X3,X2,X1] :
( c_in(c_Pair(c_Main_ODomainE__1(X0,c_Relation_Oconverse(X1,X2,X3),X3,X2),X0,X2,X3),X1,tc_prod(X2,X3))
| ~ c_in(X0,c_Relation_ODomain(c_Relation_Oconverse(X1,X2,X3),X3,X2),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_912])]) ).
fof(f4782,plain,
( ! [X2,X3,X0,X1] :
( c_in(c_Pair(c_Main_ODomainE__1(X0,c_Relation_Oconverse(X1,X2,X3),X3,X2),X0,X2,X3),X1,tc_prod(X2,X3))
| ~ c_in(X0,c_Relation_ODomain(c_Relation_Oconverse(X1,X2,X3),X3,X2),X3) )
| ~ spl0_569
| ~ spl0_582 ),
inference(resolution,[],[f4707,f4554]) ).
fof(f13316,plain,
( spl0_911
| ~ spl0_415
| ~ spl0_577 ),
inference(avatar_split_clause,[],[f4688,f4660,f3521,f13314]) ).
fof(f13314,plain,
( spl0_911
<=> ! [X3,X4,X0,X6,X5,X2,X1] :
( c_in(X0,c_Relation_OImage(c_union(X1,X2,tc_prod(X3,X4)),X5,X3,X4),X4)
| ~ c_in(X6,X5,X3)
| ~ c_in(c_Pair(X6,X0,X3,X4),X2,tc_prod(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_911])]) ).
fof(f4688,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( c_in(X0,c_Relation_OImage(c_union(X1,X2,tc_prod(X3,X4)),X5,X3,X4),X4)
| ~ c_in(X6,X5,X3)
| ~ c_in(c_Pair(X6,X0,X3,X4),X2,tc_prod(X3,X4)) )
| ~ spl0_415
| ~ spl0_577 ),
inference(resolution,[],[f4661,f3522]) ).
fof(f13312,plain,
( spl0_910
| ~ spl0_416
| ~ spl0_577 ),
inference(avatar_split_clause,[],[f4687,f4660,f3525,f13310]) ).
fof(f13310,plain,
( spl0_910
<=> ! [X3,X4,X0,X6,X5,X2,X1] :
( c_in(X0,c_Relation_OImage(c_union(X1,X2,tc_prod(X3,X4)),X5,X3,X4),X4)
| ~ c_in(X6,X5,X3)
| ~ c_in(c_Pair(X6,X0,X3,X4),X1,tc_prod(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_910])]) ).
fof(f4687,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( c_in(X0,c_Relation_OImage(c_union(X1,X2,tc_prod(X3,X4)),X5,X3,X4),X4)
| ~ c_in(X6,X5,X3)
| ~ c_in(c_Pair(X6,X0,X3,X4),X1,tc_prod(X3,X4)) )
| ~ spl0_416
| ~ spl0_577 ),
inference(resolution,[],[f4661,f3526]) ).
fof(f13308,plain,
( spl0_909
| ~ spl0_417
| ~ spl0_577 ),
inference(avatar_split_clause,[],[f4684,f4660,f3529,f13306]) ).
fof(f13306,plain,
( spl0_909
<=> ! [X3,X4,X0,X6,X5,X2,X1] :
( c_in(X0,c_Relation_OImage(c_insert(X1,X2,tc_prod(X3,X4)),X5,X3,X4),X4)
| ~ c_in(X6,X5,X3)
| ~ c_in(c_Pair(X6,X0,X3,X4),X2,tc_prod(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_909])]) ).
fof(f4684,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( c_in(X0,c_Relation_OImage(c_insert(X1,X2,tc_prod(X3,X4)),X5,X3,X4),X4)
| ~ c_in(X6,X5,X3)
| ~ c_in(c_Pair(X6,X0,X3,X4),X2,tc_prod(X3,X4)) )
| ~ spl0_417
| ~ spl0_577 ),
inference(resolution,[],[f4661,f3530]) ).
fof(f13304,plain,
( spl0_908
| ~ spl0_412
| ~ spl0_577 ),
inference(avatar_split_clause,[],[f4678,f4660,f3509,f13302]) ).
fof(f13302,plain,
( spl0_908
<=> ! [X5,X4,X0,X3,X2,X1] :
( c_in(X0,c_Relation_OImage(c_uminus(X1,tc_set(tc_prod(X2,X3))),X4,X2,X3),X3)
| ~ c_in(X5,X4,X2)
| c_in(c_Pair(X5,X0,X2,X3),X1,tc_prod(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_908])]) ).
fof(f4678,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( c_in(X0,c_Relation_OImage(c_uminus(X1,tc_set(tc_prod(X2,X3))),X4,X2,X3),X3)
| ~ c_in(X5,X4,X2)
| c_in(c_Pair(X5,X0,X2,X3),X1,tc_prod(X2,X3)) )
| ~ spl0_412
| ~ spl0_577 ),
inference(resolution,[],[f4661,f3510]) ).
fof(f13300,plain,
( spl0_907
| ~ spl0_429
| ~ spl0_496 ),
inference(avatar_split_clause,[],[f4027,f3967,f3596,f13298]) ).
fof(f13298,plain,
( spl0_907
<=> ! [X0,X3,X2,X1] :
( c_in(c_Main_OsubsetI__1(c_insert(X0,X1,X2),X3,X2),X1,X2)
| c_Main_OsubsetI__1(c_insert(X0,X1,X2),X3,X2) = X0
| c_lessequals(c_insert(X0,X1,X2),X3,tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_907])]) ).
fof(f4027,plain,
( ! [X2,X3,X0,X1] :
( c_in(c_Main_OsubsetI__1(c_insert(X0,X1,X2),X3,X2),X1,X2)
| c_Main_OsubsetI__1(c_insert(X0,X1,X2),X3,X2) = X0
| c_lessequals(c_insert(X0,X1,X2),X3,tc_set(X2)) )
| ~ spl0_429
| ~ spl0_496 ),
inference(resolution,[],[f3968,f3597]) ).
fof(f12403,plain,
( spl0_906
| ~ spl0_482
| ~ spl0_606 ),
inference(avatar_split_clause,[],[f5022,f4978,f3886,f12401]) ).
fof(f12401,plain,
( spl0_906
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_Orel__comp(X1,c_Relation_OId,X2,X3,X2),tc_prod(X2,X3))
| c_Main_Orel__compE__1(X1,c_Relation_OId,X0,X2,X3,X2) = c_Main_Orel__compE__2(X1,c_Relation_OId,X0,X2,X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_906])]) ).
fof(f5022,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Relation_Orel__comp(X1,c_Relation_OId,X2,X3,X2),tc_prod(X2,X3))
| c_Main_Orel__compE__1(X1,c_Relation_OId,X0,X2,X3,X2) = c_Main_Orel__compE__2(X1,c_Relation_OId,X0,X2,X3,X2) )
| ~ spl0_482
| ~ spl0_606 ),
inference(resolution,[],[f4979,f3887]) ).
fof(f12399,plain,
( spl0_905
| ~ spl0_482
| ~ spl0_605 ),
inference(avatar_split_clause,[],[f4992,f4974,f3886,f12397]) ).
fof(f12397,plain,
( spl0_905
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_Orel__comp(c_Relation_OId,X1,X2,X2,X3),tc_prod(X3,X2))
| c_Main_Orel__compE__2(c_Relation_OId,X1,X0,X2,X2,X3) = c_Main_Orel__compE__3(c_Relation_OId,X1,X0,X2,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_905])]) ).
fof(f4992,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Relation_Orel__comp(c_Relation_OId,X1,X2,X2,X3),tc_prod(X3,X2))
| c_Main_Orel__compE__2(c_Relation_OId,X1,X0,X2,X2,X3) = c_Main_Orel__compE__3(c_Relation_OId,X1,X0,X2,X2,X3) )
| ~ spl0_482
| ~ spl0_605 ),
inference(resolution,[],[f4975,f3887]) ).
fof(f12395,plain,
( spl0_904
| ~ spl0_538
| ~ spl0_589 ),
inference(avatar_split_clause,[],[f4828,f4824,f4305,f12393]) ).
fof(f12393,plain,
( spl0_904
<=> ! [X4,X0,X3,X2,X1] :
( c_in(c_Main_OPlusE__1(X0,c_Sum__Type_OInr(X1,X2,X3),X3,X2),X0,X3)
| c_in(c_Main_OPlusE__2(X4,c_Sum__Type_OInr(X1,X2,X3),X2,X3),X4,X2)
| ~ c_in(X1,X4,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_904])]) ).
fof(f4828,plain,
( ! [X2,X3,X0,X1,X4] :
( c_in(c_Main_OPlusE__1(X0,c_Sum__Type_OInr(X1,X2,X3),X3,X2),X0,X3)
| c_in(c_Main_OPlusE__2(X4,c_Sum__Type_OInr(X1,X2,X3),X2,X3),X4,X2)
| ~ c_in(X1,X4,X2) )
| ~ spl0_538
| ~ spl0_589 ),
inference(resolution,[],[f4825,f4306]) ).
fof(f12391,plain,
( spl0_903
| ~ spl0_537
| ~ spl0_589 ),
inference(avatar_split_clause,[],[f4827,f4824,f4301,f12389]) ).
fof(f12389,plain,
( spl0_903
<=> ! [X4,X0,X3,X2,X1] :
( c_in(c_Main_OPlusE__1(X0,c_Sum__Type_OInl(X1,X2,X3),X2,X3),X0,X2)
| c_in(c_Main_OPlusE__2(X4,c_Sum__Type_OInl(X1,X2,X3),X3,X2),X4,X3)
| ~ c_in(X1,X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_903])]) ).
fof(f4827,plain,
( ! [X2,X3,X0,X1,X4] :
( c_in(c_Main_OPlusE__1(X0,c_Sum__Type_OInl(X1,X2,X3),X2,X3),X0,X2)
| c_in(c_Main_OPlusE__2(X4,c_Sum__Type_OInl(X1,X2,X3),X3,X2),X4,X3)
| ~ c_in(X1,X0,X2) )
| ~ spl0_537
| ~ spl0_589 ),
inference(resolution,[],[f4825,f4302]) ).
fof(f12387,plain,
( spl0_902
| ~ spl0_500
| ~ spl0_570 ),
inference(avatar_split_clause,[],[f4630,f4557,f4037,f12385]) ).
fof(f12385,plain,
( spl0_902
<=> ! [X2,X0,X1] :
( ~ c_in(X0,c_Relation_ORange(c_Relation_Odiag(X1,X2),X2,X2),X2)
| c_in(c_Main_OdiagE__1(X1,c_Pair(c_Main_ORangeE__1(X0,c_Relation_Odiag(X1,X2),X2,X2),X0,X2,X2),X2),X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_902])]) ).
fof(f4630,plain,
( ! [X2,X0,X1] :
( ~ c_in(X0,c_Relation_ORange(c_Relation_Odiag(X1,X2),X2,X2),X2)
| c_in(c_Main_OdiagE__1(X1,c_Pair(c_Main_ORangeE__1(X0,c_Relation_Odiag(X1,X2),X2,X2),X0,X2,X2),X2),X1,X2) )
| ~ spl0_500
| ~ spl0_570 ),
inference(resolution,[],[f4558,f4038]) ).
fof(f12383,plain,
( spl0_901
| ~ spl0_500
| ~ spl0_569 ),
inference(avatar_split_clause,[],[f4605,f4553,f4037,f12381]) ).
fof(f12381,plain,
( spl0_901
<=> ! [X2,X0,X1] :
( ~ c_in(X0,c_Relation_ODomain(c_Relation_Odiag(X1,X2),X2,X2),X2)
| c_in(c_Main_OdiagE__1(X1,c_Pair(X0,c_Main_ODomainE__1(X0,c_Relation_Odiag(X1,X2),X2,X2),X2,X2),X2),X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_901])]) ).
fof(f4605,plain,
( ! [X2,X0,X1] :
( ~ c_in(X0,c_Relation_ODomain(c_Relation_Odiag(X1,X2),X2,X2),X2)
| c_in(c_Main_OdiagE__1(X1,c_Pair(X0,c_Main_ODomainE__1(X0,c_Relation_Odiag(X1,X2),X2,X2),X2,X2),X2),X1,X2) )
| ~ spl0_500
| ~ spl0_569 ),
inference(resolution,[],[f4554,f4038]) ).
fof(f12379,plain,
( spl0_900
| ~ spl0_455
| ~ spl0_564 ),
inference(avatar_split_clause,[],[f4535,f4512,f3701,f12377]) ).
fof(f12377,plain,
( spl0_900
<=> ! [X0,X1] :
( c_in(c_Union(c_Pow(X0,X1),X1),c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(c_Pow(X0,X1),c_Finite__Set_OFinites,tc_set(tc_set(X1)))
| c_lessequals(c_Main_Ofinite__Union__1(c_Pow(X0,X1),X1),X0,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_900])]) ).
fof(f4535,plain,
( ! [X0,X1] :
( c_in(c_Union(c_Pow(X0,X1),X1),c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(c_Pow(X0,X1),c_Finite__Set_OFinites,tc_set(tc_set(X1)))
| c_lessequals(c_Main_Ofinite__Union__1(c_Pow(X0,X1),X1),X0,tc_set(X1)) )
| ~ spl0_455
| ~ spl0_564 ),
inference(resolution,[],[f4513,f3702]) ).
fof(f12375,plain,
( spl0_899
| ~ spl0_516
| ~ spl0_540 ),
inference(avatar_split_clause,[],[f4400,f4313,f4101,f12373]) ).
fof(f12373,plain,
( spl0_899
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(tc_prod(X1,X2)))
| ~ c_in(X3,c_Relation_Oconverse(X0,X1,X2),tc_prod(X2,X1))
| c_in(X3,c_Union(c_Finite__Set_OFinites,tc_prod(X2,X1)),tc_prod(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_899])]) ).
fof(f4313,plain,
( spl0_540
<=> ! [X2,X5,X1] :
( ~ c_in(X5,c_Finite__Set_OFinites,tc_set(tc_prod(X2,X1)))
| c_in(c_Relation_Oconverse(X5,X2,X1),c_Finite__Set_OFinites,tc_set(tc_prod(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_540])]) ).
fof(f4400,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(tc_prod(X1,X2)))
| ~ c_in(X3,c_Relation_Oconverse(X0,X1,X2),tc_prod(X2,X1))
| c_in(X3,c_Union(c_Finite__Set_OFinites,tc_prod(X2,X1)),tc_prod(X2,X1)) )
| ~ spl0_516
| ~ spl0_540 ),
inference(resolution,[],[f4314,f4102]) ).
fof(f4314,plain,
( ! [X2,X1,X5] :
( c_in(c_Relation_Oconverse(X5,X2,X1),c_Finite__Set_OFinites,tc_set(tc_prod(X1,X2)))
| ~ c_in(X5,c_Finite__Set_OFinites,tc_set(tc_prod(X2,X1))) )
| ~ spl0_540 ),
inference(avatar_component_clause,[],[f4313]) ).
fof(f12371,plain,
( spl0_898
| ~ spl0_516
| ~ spl0_519 ),
inference(avatar_split_clause,[],[f4252,f4203,f4101,f12369]) ).
fof(f12369,plain,
( spl0_898
<=> ! [X0,X3,X2,X1] :
( c_in(X0,c_List_Olists(X1,tc_set(X2)),tc_List_Olist(tc_set(X2)))
| ~ c_in(X3,c_Main_Oin__listsI__1(X1,X0,tc_set(X2)),X2)
| c_in(X3,c_Union(c_List_Oset(X0,tc_set(X2)),X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_898])]) ).
fof(f4203,plain,
( spl0_519
<=> ! [X12,X1,X23] :
( c_in(X23,c_List_Olists(X12,X1),tc_List_Olist(X1))
| c_in(c_Main_Oin__listsI__1(X12,X23,X1),c_List_Oset(X23,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_519])]) ).
fof(f4252,plain,
( ! [X2,X3,X0,X1] :
( c_in(X0,c_List_Olists(X1,tc_set(X2)),tc_List_Olist(tc_set(X2)))
| ~ c_in(X3,c_Main_Oin__listsI__1(X1,X0,tc_set(X2)),X2)
| c_in(X3,c_Union(c_List_Oset(X0,tc_set(X2)),X2),X2) )
| ~ spl0_516
| ~ spl0_519 ),
inference(resolution,[],[f4204,f4102]) ).
fof(f4204,plain,
( ! [X1,X12,X23] :
( c_in(c_Main_Oin__listsI__1(X12,X23,X1),c_List_Oset(X23,X1),X1)
| c_in(X23,c_List_Olists(X12,X1),tc_List_Olist(X1)) )
| ~ spl0_519 ),
inference(avatar_component_clause,[],[f4203]) ).
fof(f12356,plain,
( spl0_897
| ~ spl0_489
| ~ spl0_514 ),
inference(avatar_split_clause,[],[f4158,f4093,f3939,f12354]) ).
fof(f12354,plain,
( spl0_897
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,X1,tc_set(tc_set(X2)))
| c_in(c_Main_OUnionE__1(X3,c_Inter(X1,tc_set(X2)),X2),X0,tc_set(X2))
| ~ c_in(X3,c_Union(c_Inter(X1,tc_set(X2)),X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_897])]) ).
fof(f4158,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,X1,tc_set(tc_set(X2)))
| c_in(c_Main_OUnionE__1(X3,c_Inter(X1,tc_set(X2)),X2),X0,tc_set(X2))
| ~ c_in(X3,c_Union(c_Inter(X1,tc_set(X2)),X2),X2) )
| ~ spl0_489
| ~ spl0_514 ),
inference(resolution,[],[f4094,f3940]) ).
fof(f12352,plain,
( spl0_896
| ~ spl0_488
| ~ spl0_514 ),
inference(avatar_split_clause,[],[f4157,f4093,f3935,f12350]) ).
fof(f12350,plain,
( spl0_896
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,X1,tc_set(tc_set(X2)))
| c_in(c_Main_OInterI__1(X3,c_Inter(X1,tc_set(X2)),X2),X0,tc_set(X2))
| c_in(X3,c_Inter(c_Inter(X1,tc_set(X2)),X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_896])]) ).
fof(f4157,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,X1,tc_set(tc_set(X2)))
| c_in(c_Main_OInterI__1(X3,c_Inter(X1,tc_set(X2)),X2),X0,tc_set(X2))
| c_in(X3,c_Inter(c_Inter(X1,tc_set(X2)),X2),X2) )
| ~ spl0_488
| ~ spl0_514 ),
inference(resolution,[],[f4094,f3936]) ).
fof(f12348,plain,
( spl0_895
| ~ spl0_486
| ~ spl0_491 ),
inference(avatar_split_clause,[],[f4020,f3947,f3927,f12346]) ).
fof(f12346,plain,
( spl0_895
<=> ! [X2,X0,X1] :
( ~ c_in(c_Main_Oin__listsI__1(c_Transitive__Closure_Ortrancl(X0,X1),X2,tc_prod(X1,X1)),X0,tc_prod(X1,X1))
| c_in(X2,c_List_Olists(c_Transitive__Closure_Ortrancl(X0,X1),tc_prod(X1,X1)),tc_List_Olist(tc_prod(X1,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_895])]) ).
fof(f4020,plain,
( ! [X2,X0,X1] :
( ~ c_in(c_Main_Oin__listsI__1(c_Transitive__Closure_Ortrancl(X0,X1),X2,tc_prod(X1,X1)),X0,tc_prod(X1,X1))
| c_in(X2,c_List_Olists(c_Transitive__Closure_Ortrancl(X0,X1),tc_prod(X1,X1)),tc_List_Olist(tc_prod(X1,X1))) )
| ~ spl0_486
| ~ spl0_491 ),
inference(resolution,[],[f3948,f3928]) ).
fof(f11713,plain,
( spl0_894
| ~ spl0_67
| ~ spl0_611 ),
inference(avatar_split_clause,[],[f5091,f5070,f1730,f11711]) ).
fof(f11711,plain,
( spl0_894
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
| c_in(c_Pair(X0,X5,X2,X6),c_Relation_Orel__comp(c_UNIV,X4,X3,X6,X2),tc_prod(X2,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_894])]) ).
fof(f1730,plain,
( spl0_67
<=> ! [X0,X1] : c_in(X0,c_UNIV,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f5091,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
| c_in(c_Pair(X0,X5,X2,X6),c_Relation_Orel__comp(c_UNIV,X4,X3,X6,X2),tc_prod(X2,X6)) )
| ~ spl0_67
| ~ spl0_611 ),
inference(resolution,[],[f5071,f1731]) ).
fof(f1731,plain,
( ! [X0,X1] : c_in(X0,c_UNIV,X1)
| ~ spl0_67 ),
inference(avatar_component_clause,[],[f1730]) ).
fof(f11709,plain,
( spl0_893
| ~ spl0_401
| ~ spl0_611 ),
inference(avatar_split_clause,[],[f5076,f5070,f3429,f11707]) ).
fof(f11707,plain,
( spl0_893
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
| c_in(c_Pair(X0,X1,X2,X3),c_Relation_Orel__comp(c_Relation_OId,X4,X3,X3,X2),tc_prod(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_893])]) ).
fof(f3429,plain,
( spl0_401
<=> ! [X18,X1] : c_in(c_Pair(X18,X18,X1,X1),c_Relation_OId,tc_prod(X1,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_401])]) ).
fof(f5076,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
| c_in(c_Pair(X0,X1,X2,X3),c_Relation_Orel__comp(c_Relation_OId,X4,X3,X3,X2),tc_prod(X2,X3)) )
| ~ spl0_401
| ~ spl0_611 ),
inference(resolution,[],[f5071,f3430]) ).
fof(f3430,plain,
( ! [X18,X1] : c_in(c_Pair(X18,X18,X1,X1),c_Relation_OId,tc_prod(X1,X1))
| ~ spl0_401 ),
inference(avatar_component_clause,[],[f3429]) ).
fof(f11705,plain,
( spl0_892
| ~ spl0_577
| ~ spl0_583 ),
inference(avatar_split_clause,[],[f4786,f4711,f4660,f11703]) ).
fof(f11703,plain,
( spl0_892
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
| c_in(X0,c_Relation_OImage(c_Relation_Oconverse(X4,X2,X3),X5,X3,X2),X2)
| ~ c_in(X1,X5,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_892])]) ).
fof(f4786,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
| c_in(X0,c_Relation_OImage(c_Relation_Oconverse(X4,X2,X3),X5,X3,X2),X2)
| ~ c_in(X1,X5,X3) )
| ~ spl0_577
| ~ spl0_583 ),
inference(resolution,[],[f4712,f4661]) ).
fof(f11701,plain,
( spl0_891
| ~ spl0_561
| ~ spl0_581 ),
inference(avatar_split_clause,[],[f4760,f4702,f4497,f11699]) ).
fof(f11699,plain,
( spl0_891
<=> ! [X2,X0,X1] :
( ~ c_in(c_List_Olist_ONil,c_Relation_OImage(c_List_Olistrel(X0,X1),X2,tc_List_Olist(X1),tc_List_Olist(X1)),tc_List_Olist(X1))
| c_List_Olist_ONil = c_Main_OImageE__1(X2,c_List_Olist_ONil,c_List_Olistrel(X0,X1),tc_List_Olist(X1),tc_List_Olist(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_891])]) ).
fof(f4760,plain,
( ! [X2,X0,X1] :
( ~ c_in(c_List_Olist_ONil,c_Relation_OImage(c_List_Olistrel(X0,X1),X2,tc_List_Olist(X1),tc_List_Olist(X1)),tc_List_Olist(X1))
| c_List_Olist_ONil = c_Main_OImageE__1(X2,c_List_Olist_ONil,c_List_Olistrel(X0,X1),tc_List_Olist(X1),tc_List_Olist(X1)) )
| ~ spl0_561
| ~ spl0_581 ),
inference(resolution,[],[f4703,f4498]) ).
fof(f11697,plain,
( spl0_890
| ~ spl0_577
| ~ spl0_581 ),
inference(avatar_split_clause,[],[f4756,f4702,f4660,f11695]) ).
fof(f11695,plain,
( spl0_890
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_OImage(X1,X2,X3,X4),X4)
| c_in(X0,c_Relation_OImage(X1,X5,X3,X4),X4)
| ~ c_in(c_Main_OImageE__1(X2,X0,X1,X3,X4),X5,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_890])]) ).
fof(f4756,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Relation_OImage(X1,X2,X3,X4),X4)
| c_in(X0,c_Relation_OImage(X1,X5,X3,X4),X4)
| ~ c_in(c_Main_OImageE__1(X2,X0,X1,X3,X4),X5,X3) )
| ~ spl0_577
| ~ spl0_581 ),
inference(resolution,[],[f4703,f4661]) ).
fof(f11693,plain,
( spl0_889
| ~ spl0_535
| ~ spl0_576 ),
inference(avatar_split_clause,[],[f4653,f4582,f4293,f11691]) ).
fof(f11691,plain,
( spl0_889
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
| c_in(c_Main_OImageE__1(c_insert(X0,c_emptyset,X2),X1,X4,X2,X3),c_insert(X0,c_emptyset,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_889])]) ).
fof(f4653,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
| c_in(c_Main_OImageE__1(c_insert(X0,c_emptyset,X2),X1,X4,X2,X3),c_insert(X0,c_emptyset,X2),X2) )
| ~ spl0_535
| ~ spl0_576 ),
inference(resolution,[],[f4583,f4294]) ).
fof(f11678,plain,
( spl0_888
| ~ spl0_516
| ~ spl0_564 ),
inference(avatar_split_clause,[],[f4520,f4512,f4101,f11676]) ).
fof(f11676,plain,
( spl0_888
<=> ! [X2,X0,X1] :
( c_in(c_Union(X0,X1),c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(X0,c_Finite__Set_OFinites,tc_set(tc_set(X1)))
| ~ c_in(X2,c_Main_Ofinite__Union__1(X0,X1),X1)
| c_in(X2,c_Union(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_888])]) ).
fof(f4520,plain,
( ! [X2,X0,X1] :
( c_in(c_Union(X0,X1),c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(X0,c_Finite__Set_OFinites,tc_set(tc_set(X1)))
| ~ c_in(X2,c_Main_Ofinite__Union__1(X0,X1),X1)
| c_in(X2,c_Union(X0,X1),X1) )
| ~ spl0_516
| ~ spl0_564 ),
inference(resolution,[],[f4513,f4102]) ).
fof(f11674,plain,
( spl0_887
| ~ spl0_516
| ~ spl0_564 ),
inference(avatar_split_clause,[],[f4519,f4512,f4101,f11672]) ).
fof(f11672,plain,
( spl0_887
<=> ! [X2,X0,X1] :
( c_in(c_Main_Ofinite__Union__1(X0,X1),X0,tc_set(X1))
| ~ c_in(X0,c_Finite__Set_OFinites,tc_set(tc_set(X1)))
| ~ c_in(X2,c_Union(X0,X1),X1)
| c_in(X2,c_Union(c_Finite__Set_OFinites,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_887])]) ).
fof(f4519,plain,
( ! [X2,X0,X1] :
( c_in(c_Main_Ofinite__Union__1(X0,X1),X0,tc_set(X1))
| ~ c_in(X0,c_Finite__Set_OFinites,tc_set(tc_set(X1)))
| ~ c_in(X2,c_Union(X0,X1),X1)
| c_in(X2,c_Union(c_Finite__Set_OFinites,X1),X1) )
| ~ spl0_516
| ~ spl0_564 ),
inference(resolution,[],[f4513,f4102]) ).
fof(f11670,plain,
( spl0_886
| ~ spl0_448
| ~ spl0_536 ),
inference(avatar_split_clause,[],[f4393,f4297,f3673,f11668]) ).
fof(f11668,plain,
( spl0_886
<=> ! [X4,X0,X3,X2,X1] :
( c_in(X0,c_Relation_ORange(c_SetInterval_OgreaterThan(X1,tc_prod(X2,X3)),X2,X3),X3)
| ~ c_less(X1,c_Pair(X4,X0,X2,X3),tc_prod(X2,X3))
| ~ class_Orderings_Oord(tc_prod(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_886])]) ).
fof(f4393,plain,
( ! [X2,X3,X0,X1,X4] :
( c_in(X0,c_Relation_ORange(c_SetInterval_OgreaterThan(X1,tc_prod(X2,X3)),X2,X3),X3)
| ~ c_less(X1,c_Pair(X4,X0,X2,X3),tc_prod(X2,X3))
| ~ class_Orderings_Oord(tc_prod(X2,X3)) )
| ~ spl0_448
| ~ spl0_536 ),
inference(resolution,[],[f4298,f3674]) ).
fof(f11666,plain,
( spl0_885
| ~ spl0_442
| ~ spl0_536 ),
inference(avatar_split_clause,[],[f4392,f4297,f3649,f11664]) ).
fof(f11664,plain,
( spl0_885
<=> ! [X4,X0,X3,X2,X1] :
( c_in(X0,c_Relation_ORange(c_SetInterval_OatLeast(X1,tc_prod(X2,X3)),X2,X3),X3)
| ~ c_lessequals(X1,c_Pair(X4,X0,X2,X3),tc_prod(X2,X3))
| ~ class_Orderings_Oord(tc_prod(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_885])]) ).
fof(f4392,plain,
( ! [X2,X3,X0,X1,X4] :
( c_in(X0,c_Relation_ORange(c_SetInterval_OatLeast(X1,tc_prod(X2,X3)),X2,X3),X3)
| ~ c_lessequals(X1,c_Pair(X4,X0,X2,X3),tc_prod(X2,X3))
| ~ class_Orderings_Oord(tc_prod(X2,X3)) )
| ~ spl0_442
| ~ spl0_536 ),
inference(resolution,[],[f4298,f3650]) ).
fof(f11662,plain,
( spl0_884
| ~ spl0_451
| ~ spl0_536 ),
inference(avatar_split_clause,[],[f4390,f4297,f3685,f11660]) ).
fof(f11660,plain,
( spl0_884
<=> ! [X4,X0,X3,X2,X1] :
( c_in(X0,c_Relation_ORange(c_SetInterval_OlessThan(X1,tc_prod(X2,X3)),X2,X3),X3)
| ~ c_less(c_Pair(X4,X0,X2,X3),X1,tc_prod(X2,X3))
| ~ class_Orderings_Oord(tc_prod(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_884])]) ).
fof(f4390,plain,
( ! [X2,X3,X0,X1,X4] :
( c_in(X0,c_Relation_ORange(c_SetInterval_OlessThan(X1,tc_prod(X2,X3)),X2,X3),X3)
| ~ c_less(c_Pair(X4,X0,X2,X3),X1,tc_prod(X2,X3))
| ~ class_Orderings_Oord(tc_prod(X2,X3)) )
| ~ spl0_451
| ~ spl0_536 ),
inference(resolution,[],[f4298,f3686]) ).
fof(f11658,plain,
( spl0_883
| ~ spl0_445
| ~ spl0_536 ),
inference(avatar_split_clause,[],[f4389,f4297,f3661,f11656]) ).
fof(f11656,plain,
( spl0_883
<=> ! [X4,X0,X3,X2,X1] :
( c_in(X0,c_Relation_ORange(c_SetInterval_OatMost(X1,tc_prod(X2,X3)),X2,X3),X3)
| ~ c_lessequals(c_Pair(X4,X0,X2,X3),X1,tc_prod(X2,X3))
| ~ class_Orderings_Oord(tc_prod(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_883])]) ).
fof(f4389,plain,
( ! [X2,X3,X0,X1,X4] :
( c_in(X0,c_Relation_ORange(c_SetInterval_OatMost(X1,tc_prod(X2,X3)),X2,X3),X3)
| ~ c_lessequals(c_Pair(X4,X0,X2,X3),X1,tc_prod(X2,X3))
| ~ class_Orderings_Oord(tc_prod(X2,X3)) )
| ~ spl0_445
| ~ spl0_536 ),
inference(resolution,[],[f4298,f3662]) ).
fof(f11654,plain,
( spl0_882
| ~ spl0_429
| ~ spl0_535 ),
inference(avatar_split_clause,[],[f4374,f4293,f3596,f11652]) ).
fof(f11652,plain,
( spl0_882
<=> ! [X4,X0,X3,X2,X1] :
( c_in(c_Main_OImageE__1(X0,c_Main_OsubsetI__1(c_Relation_OImage(X1,X0,X2,X3),X4,X3),X1,X2,X3),X0,X2)
| c_lessequals(c_Relation_OImage(X1,X0,X2,X3),X4,tc_set(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_882])]) ).
fof(f4374,plain,
( ! [X2,X3,X0,X1,X4] :
( c_in(c_Main_OImageE__1(X0,c_Main_OsubsetI__1(c_Relation_OImage(X1,X0,X2,X3),X4,X3),X1,X2,X3),X0,X2)
| c_lessequals(c_Relation_OImage(X1,X0,X2,X3),X4,tc_set(X3)) )
| ~ spl0_429
| ~ spl0_535 ),
inference(resolution,[],[f4294,f3597]) ).
fof(f11650,plain,
( spl0_881
| ~ spl0_448
| ~ spl0_533 ),
inference(avatar_split_clause,[],[f4366,f4285,f3673,f11648]) ).
fof(f11648,plain,
( spl0_881
<=> ! [X4,X0,X3,X2,X1] :
( c_in(X0,c_Relation_ODomain(c_SetInterval_OgreaterThan(X1,tc_prod(X2,X3)),X2,X3),X2)
| ~ c_less(X1,c_Pair(X0,X4,X2,X3),tc_prod(X2,X3))
| ~ class_Orderings_Oord(tc_prod(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_881])]) ).
fof(f4366,plain,
( ! [X2,X3,X0,X1,X4] :
( c_in(X0,c_Relation_ODomain(c_SetInterval_OgreaterThan(X1,tc_prod(X2,X3)),X2,X3),X2)
| ~ c_less(X1,c_Pair(X0,X4,X2,X3),tc_prod(X2,X3))
| ~ class_Orderings_Oord(tc_prod(X2,X3)) )
| ~ spl0_448
| ~ spl0_533 ),
inference(resolution,[],[f4286,f3674]) ).
fof(f11646,plain,
( spl0_880
| ~ spl0_442
| ~ spl0_533 ),
inference(avatar_split_clause,[],[f4365,f4285,f3649,f11644]) ).
fof(f11644,plain,
( spl0_880
<=> ! [X4,X0,X3,X2,X1] :
( c_in(X0,c_Relation_ODomain(c_SetInterval_OatLeast(X1,tc_prod(X2,X3)),X2,X3),X2)
| ~ c_lessequals(X1,c_Pair(X0,X4,X2,X3),tc_prod(X2,X3))
| ~ class_Orderings_Oord(tc_prod(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_880])]) ).
fof(f4365,plain,
( ! [X2,X3,X0,X1,X4] :
( c_in(X0,c_Relation_ODomain(c_SetInterval_OatLeast(X1,tc_prod(X2,X3)),X2,X3),X2)
| ~ c_lessequals(X1,c_Pair(X0,X4,X2,X3),tc_prod(X2,X3))
| ~ class_Orderings_Oord(tc_prod(X2,X3)) )
| ~ spl0_442
| ~ spl0_533 ),
inference(resolution,[],[f4286,f3650]) ).
fof(f11642,plain,
( spl0_879
| ~ spl0_451
| ~ spl0_533 ),
inference(avatar_split_clause,[],[f4363,f4285,f3685,f11640]) ).
fof(f11640,plain,
( spl0_879
<=> ! [X4,X0,X3,X2,X1] :
( c_in(X0,c_Relation_ODomain(c_SetInterval_OlessThan(X1,tc_prod(X2,X3)),X2,X3),X2)
| ~ c_less(c_Pair(X0,X4,X2,X3),X1,tc_prod(X2,X3))
| ~ class_Orderings_Oord(tc_prod(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_879])]) ).
fof(f4363,plain,
( ! [X2,X3,X0,X1,X4] :
( c_in(X0,c_Relation_ODomain(c_SetInterval_OlessThan(X1,tc_prod(X2,X3)),X2,X3),X2)
| ~ c_less(c_Pair(X0,X4,X2,X3),X1,tc_prod(X2,X3))
| ~ class_Orderings_Oord(tc_prod(X2,X3)) )
| ~ spl0_451
| ~ spl0_533 ),
inference(resolution,[],[f4286,f3686]) ).
fof(f11638,plain,
( spl0_878
| ~ spl0_690
| ~ spl0_720 ),
inference(avatar_split_clause,[],[f7037,f6797,f6209,f11636]) ).
fof(f11636,plain,
( spl0_878
<=> ! [X0] : c_lessequals(X0,c_Message_Oparts(c_Message_Oanalz(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg))),tc_set(tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_878])]) ).
fof(f6797,plain,
( spl0_720
<=> ! [X0] : c_in(X0,c_Message_Oanalz(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_720])]) ).
fof(f7037,plain,
( ! [X0] : c_lessequals(X0,c_Message_Oparts(c_Message_Oanalz(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg))),tc_set(tc_Message_Omsg))
| ~ spl0_690
| ~ spl0_720 ),
inference(resolution,[],[f6798,f6210]) ).
fof(f6798,plain,
( ! [X0] : c_in(X0,c_Message_Oanalz(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)),tc_Message_Omsg)
| ~ spl0_720 ),
inference(avatar_component_clause,[],[f6797]) ).
fof(f11634,plain,
( spl0_877
| ~ spl0_445
| ~ spl0_533 ),
inference(avatar_split_clause,[],[f4362,f4285,f3661,f11632]) ).
fof(f11632,plain,
( spl0_877
<=> ! [X4,X0,X3,X2,X1] :
( c_in(X0,c_Relation_ODomain(c_SetInterval_OatMost(X1,tc_prod(X2,X3)),X2,X3),X2)
| ~ c_lessequals(c_Pair(X0,X4,X2,X3),X1,tc_prod(X2,X3))
| ~ class_Orderings_Oord(tc_prod(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_877])]) ).
fof(f4362,plain,
( ! [X2,X3,X0,X1,X4] :
( c_in(X0,c_Relation_ODomain(c_SetInterval_OatMost(X1,tc_prod(X2,X3)),X2,X3),X2)
| ~ c_lessequals(c_Pair(X0,X4,X2,X3),X1,tc_prod(X2,X3))
| ~ class_Orderings_Oord(tc_prod(X2,X3)) )
| ~ spl0_445
| ~ spl0_533 ),
inference(resolution,[],[f4286,f3662]) ).
fof(f11630,plain,
( spl0_876
| ~ spl0_516
| ~ spl0_529 ),
inference(avatar_split_clause,[],[f4270,f4244,f4101,f11628]) ).
fof(f11628,plain,
( spl0_876
<=> ! [X4,X0,X3,X2,X1] :
( c_in(X0,X1,tc_set(X2))
| ~ c_in(X0,X3,tc_set(X2))
| ~ c_in(X4,X0,X2)
| c_in(X4,c_Union(c_minus(X3,X1,tc_set(tc_set(X2))),X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_876])]) ).
fof(f4270,plain,
( ! [X2,X3,X0,X1,X4] :
( c_in(X0,X1,tc_set(X2))
| ~ c_in(X0,X3,tc_set(X2))
| ~ c_in(X4,X0,X2)
| c_in(X4,c_Union(c_minus(X3,X1,tc_set(tc_set(X2))),X2),X2) )
| ~ spl0_516
| ~ spl0_529 ),
inference(resolution,[],[f4245,f4102]) ).
fof(f11626,plain,
( spl0_875
| ~ spl0_473
| ~ spl0_528 ),
inference(avatar_split_clause,[],[f4267,f4240,f3850,f11624]) ).
fof(f11624,plain,
( spl0_875
<=> ! [X2,X0,X1] :
( ~ c_lessequals(X0,X1,tc_set(X2))
| c_uminus(X1,tc_set(X2)) = c_uminus(X0,tc_set(X2))
| c_less(c_uminus(X1,tc_set(X2)),c_uminus(X0,tc_set(X2)),tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_875])]) ).
fof(f3850,plain,
( spl0_473
<=> ! [X13,X12,X1] :
( X12 = X13
| ~ c_lessequals(X12,X13,tc_set(X1))
| c_less(X12,X13,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_473])]) ).
fof(f4240,plain,
( spl0_528
<=> ! [X13,X12,X1] :
( ~ c_lessequals(X13,X12,tc_set(X1))
| c_lessequals(c_uminus(X12,tc_set(X1)),c_uminus(X13,tc_set(X1)),tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_528])]) ).
fof(f4267,plain,
( ! [X2,X0,X1] :
( ~ c_lessequals(X0,X1,tc_set(X2))
| c_uminus(X1,tc_set(X2)) = c_uminus(X0,tc_set(X2))
| c_less(c_uminus(X1,tc_set(X2)),c_uminus(X0,tc_set(X2)),tc_set(X2)) )
| ~ spl0_473
| ~ spl0_528 ),
inference(resolution,[],[f4241,f3851]) ).
fof(f3851,plain,
( ! [X1,X12,X13] :
( ~ c_lessequals(X12,X13,tc_set(X1))
| X12 = X13
| c_less(X12,X13,tc_set(X1)) )
| ~ spl0_473 ),
inference(avatar_component_clause,[],[f3850]) ).
fof(f4241,plain,
( ! [X1,X12,X13] :
( c_lessequals(c_uminus(X12,tc_set(X1)),c_uminus(X13,tc_set(X1)),tc_set(X1))
| ~ c_lessequals(X13,X12,tc_set(X1)) )
| ~ spl0_528 ),
inference(avatar_component_clause,[],[f4240]) ).
fof(f11622,plain,
( spl0_874
| ~ spl0_475
| ~ spl0_528 ),
inference(avatar_split_clause,[],[f4265,f4240,f3858,f11620]) ).
fof(f11620,plain,
( spl0_874
<=> ! [X2,X0,X1] :
( ~ c_lessequals(X0,X1,tc_set(X2))
| ~ c_lessequals(c_uminus(X0,tc_set(X2)),c_uminus(X1,tc_set(X2)),tc_set(X2))
| c_uminus(X1,tc_set(X2)) = c_uminus(X0,tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_874])]) ).
fof(f3858,plain,
( spl0_475
<=> ! [X13,X12,X1] :
( X12 = X13
| ~ c_lessequals(X12,X13,tc_set(X1))
| ~ c_lessequals(X13,X12,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_475])]) ).
fof(f4265,plain,
( ! [X2,X0,X1] :
( ~ c_lessequals(X0,X1,tc_set(X2))
| ~ c_lessequals(c_uminus(X0,tc_set(X2)),c_uminus(X1,tc_set(X2)),tc_set(X2))
| c_uminus(X1,tc_set(X2)) = c_uminus(X0,tc_set(X2)) )
| ~ spl0_475
| ~ spl0_528 ),
inference(resolution,[],[f4241,f3859]) ).
fof(f3859,plain,
( ! [X1,X12,X13] :
( ~ c_lessequals(X13,X12,tc_set(X1))
| ~ c_lessequals(X12,X13,tc_set(X1))
| X12 = X13 )
| ~ spl0_475 ),
inference(avatar_component_clause,[],[f3858]) ).
fof(f11618,plain,
( spl0_873
| ~ spl0_526 ),
inference(avatar_split_clause,[],[f4257,f4232,f11616]) ).
fof(f11616,plain,
( spl0_873
<=> ! [X0,X3,X2,X1] : c_List_Olist_OCons(X3,c_append(c_List_Orev(X0,X1),c_List_Olist_OCons(X2,c_List_Olist_ONil,X1),X1),X1) = c_List_Orev(c_append(c_List_Olist_OCons(X2,X0,X1),c_List_Olist_OCons(X3,c_List_Olist_ONil,X1),X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_873])]) ).
fof(f4257,plain,
( ! [X2,X3,X0,X1] : c_List_Olist_OCons(X3,c_append(c_List_Orev(X0,X1),c_List_Olist_OCons(X2,c_List_Olist_ONil,X1),X1),X1) = c_List_Orev(c_append(c_List_Olist_OCons(X2,X0,X1),c_List_Olist_OCons(X3,c_List_Olist_ONil,X1),X1),X1)
| ~ spl0_526 ),
inference(superposition,[],[f4233,f4233]) ).
fof(f11471,plain,
( spl0_872
| ~ spl0_689
| ~ spl0_720 ),
inference(avatar_split_clause,[],[f7036,f6797,f6205,f11469]) ).
fof(f11469,plain,
( spl0_872
<=> ! [X0] : c_lessequals(X0,c_Message_Oanalz(c_Message_Oanalz(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg))),tc_set(tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_872])]) ).
fof(f7036,plain,
( ! [X0] : c_lessequals(X0,c_Message_Oanalz(c_Message_Oanalz(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg))),tc_set(tc_Message_Omsg))
| ~ spl0_689
| ~ spl0_720 ),
inference(resolution,[],[f6798,f6206]) ).
fof(f11063,plain,
( spl0_871
| ~ spl0_688
| ~ spl0_720 ),
inference(avatar_split_clause,[],[f7035,f6797,f6201,f11061]) ).
fof(f11061,plain,
( spl0_871
<=> ! [X0] : c_lessequals(X0,c_Message_Osynth(c_Message_Oanalz(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg))),tc_set(tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_871])]) ).
fof(f7035,plain,
( ! [X0] : c_lessequals(X0,c_Message_Osynth(c_Message_Oanalz(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg))),tc_set(tc_Message_Omsg))
| ~ spl0_688
| ~ spl0_720 ),
inference(resolution,[],[f6798,f6202]) ).
fof(f11009,plain,
( spl0_870
| ~ spl0_533
| ~ spl0_606 ),
inference(avatar_split_clause,[],[f5021,f4978,f4285,f11007]) ).
fof(f11007,plain,
( spl0_870
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ c_in(X0,c_Relation_Orel__comp(X1,X2,X3,X4,X5),tc_prod(X5,X4))
| c_in(c_Main_Orel__compE__1(X1,X2,X0,X3,X4,X5),c_Relation_ODomain(X2,X5,X3),X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_870])]) ).
fof(f5021,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Relation_Orel__comp(X1,X2,X3,X4,X5),tc_prod(X5,X4))
| c_in(c_Main_Orel__compE__1(X1,X2,X0,X3,X4,X5),c_Relation_ODomain(X2,X5,X3),X5) )
| ~ spl0_533
| ~ spl0_606 ),
inference(resolution,[],[f4979,f4286]) ).
fof(f11005,plain,
( spl0_869
| ~ spl0_536
| ~ spl0_606 ),
inference(avatar_split_clause,[],[f5020,f4978,f4297,f11003]) ).
fof(f11003,plain,
( spl0_869
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ c_in(X0,c_Relation_Orel__comp(X1,X2,X3,X4,X5),tc_prod(X5,X4))
| c_in(c_Main_Orel__compE__2(X1,X2,X0,X3,X4,X5),c_Relation_ORange(X2,X5,X3),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_869])]) ).
fof(f5020,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Relation_Orel__comp(X1,X2,X3,X4,X5),tc_prod(X5,X4))
| c_in(c_Main_Orel__compE__2(X1,X2,X0,X3,X4,X5),c_Relation_ORange(X2,X5,X3),X3) )
| ~ spl0_536
| ~ spl0_606 ),
inference(resolution,[],[f4979,f4298]) ).
fof(f11001,plain,
( spl0_868
| ~ spl0_533
| ~ spl0_605 ),
inference(avatar_split_clause,[],[f4991,f4974,f4285,f10999]) ).
fof(f10999,plain,
( spl0_868
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ c_in(X0,c_Relation_Orel__comp(X1,X2,X3,X4,X5),tc_prod(X5,X4))
| c_in(c_Main_Orel__compE__2(X1,X2,X0,X3,X4,X5),c_Relation_ODomain(X1,X3,X4),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_868])]) ).
fof(f4991,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Relation_Orel__comp(X1,X2,X3,X4,X5),tc_prod(X5,X4))
| c_in(c_Main_Orel__compE__2(X1,X2,X0,X3,X4,X5),c_Relation_ODomain(X1,X3,X4),X3) )
| ~ spl0_533
| ~ spl0_605 ),
inference(resolution,[],[f4975,f4286]) ).
fof(f10997,plain,
( spl0_867
| ~ spl0_536
| ~ spl0_605 ),
inference(avatar_split_clause,[],[f4990,f4974,f4297,f10995]) ).
fof(f10995,plain,
( spl0_867
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ c_in(X0,c_Relation_Orel__comp(X1,X2,X3,X4,X5),tc_prod(X5,X4))
| c_in(c_Main_Orel__compE__3(X1,X2,X0,X3,X4,X5),c_Relation_ORange(X1,X3,X4),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_867])]) ).
fof(f4990,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_Relation_Orel__comp(X1,X2,X3,X4,X5),tc_prod(X5,X4))
| c_in(c_Main_Orel__compE__3(X1,X2,X0,X3,X4,X5),c_Relation_ORange(X1,X3,X4),X4) )
| ~ spl0_536
| ~ spl0_605 ),
inference(resolution,[],[f4975,f4298]) ).
fof(f10993,plain,
( spl0_866
| ~ spl0_577
| ~ spl0_578 ),
inference(avatar_split_clause,[],[f4690,f4664,f4660,f10991]) ).
fof(f10991,plain,
( spl0_866
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2))
| c_in(X1,c_Relation_OImage(c_Transitive__Closure_Otrancl(X3,X2),X4,X2,X2),X2)
| ~ c_in(X0,X4,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_866])]) ).
fof(f4690,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2))
| c_in(X1,c_Relation_OImage(c_Transitive__Closure_Otrancl(X3,X2),X4,X2,X2),X2)
| ~ c_in(X0,X4,X2) )
| ~ spl0_577
| ~ spl0_578 ),
inference(resolution,[],[f4665,f4661]) ).
fof(f10989,plain,
( spl0_865
| ~ spl0_343
| ~ spl0_577 ),
inference(avatar_split_clause,[],[f4675,f4660,f3160,f10987]) ).
fof(f10987,plain,
( spl0_865
<=> ! [X4,X0,X3,X2,X1] :
( c_in(X0,c_Relation_OImage(c_Datatype_Oo2s(c_Datatype_Ooption_OSome(c_Pair(X1,X0,X2,X3),tc_prod(X2,X3)),tc_prod(X2,X3)),X4,X2,X3),X3)
| ~ c_in(X1,X4,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_865])]) ).
fof(f4675,plain,
( ! [X2,X3,X0,X1,X4] :
( c_in(X0,c_Relation_OImage(c_Datatype_Oo2s(c_Datatype_Ooption_OSome(c_Pair(X1,X0,X2,X3),tc_prod(X2,X3)),tc_prod(X2,X3)),X4,X2,X3),X3)
| ~ c_in(X1,X4,X2) )
| ~ spl0_343
| ~ spl0_577 ),
inference(resolution,[],[f4661,f3161]) ).
fof(f10985,plain,
( spl0_864
| ~ spl0_491
| ~ spl0_577 ),
inference(avatar_split_clause,[],[f4673,f4660,f3947,f10983]) ).
fof(f10983,plain,
( spl0_864
<=> ! [X4,X0,X3,X2,X1] :
( c_in(X0,c_Relation_OImage(c_Transitive__Closure_Ortrancl(X1,X2),X3,X2,X2),X2)
| ~ c_in(X4,X3,X2)
| ~ c_in(c_Pair(X4,X0,X2,X2),X1,tc_prod(X2,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_864])]) ).
fof(f4673,plain,
( ! [X2,X3,X0,X1,X4] :
( c_in(X0,c_Relation_OImage(c_Transitive__Closure_Ortrancl(X1,X2),X3,X2,X2),X2)
| ~ c_in(X4,X3,X2)
| ~ c_in(c_Pair(X4,X0,X2,X2),X1,tc_prod(X2,X2)) )
| ~ spl0_491
| ~ spl0_577 ),
inference(resolution,[],[f4661,f3948]) ).
fof(f10981,plain,
( spl0_863
| ~ spl0_531
| ~ spl0_568 ),
inference(avatar_split_clause,[],[f4589,f4549,f4276,f10979]) ).
fof(f10979,plain,
( spl0_863
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
| ~ c_in(X3,X1,X2)
| ~ c_in(X4,c_List_Oset(c_List_Olist_OCons(X3,X0,X2),X2),X2)
| c_in(X4,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_863])]) ).
fof(f4549,plain,
( spl0_568
<=> ! [X18,X12,X1,X26] :
( ~ c_in(X18,X12,X1)
| ~ c_in(X26,c_List_Olists(X12,X1),tc_List_Olist(X1))
| c_in(c_List_Olist_OCons(X18,X26,X1),c_List_Olists(X12,X1),tc_List_Olist(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_568])]) ).
fof(f4589,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
| ~ c_in(X3,X1,X2)
| ~ c_in(X4,c_List_Oset(c_List_Olist_OCons(X3,X0,X2),X2),X2)
| c_in(X4,X1,X2) )
| ~ spl0_531
| ~ spl0_568 ),
inference(resolution,[],[f4550,f4277]) ).
fof(f4550,plain,
( ! [X18,X1,X26,X12] :
( c_in(c_List_Olist_OCons(X18,X26,X1),c_List_Olists(X12,X1),tc_List_Olist(X1))
| ~ c_in(X26,c_List_Olists(X12,X1),tc_List_Olist(X1))
| ~ c_in(X18,X12,X1) )
| ~ spl0_568 ),
inference(avatar_component_clause,[],[f4549]) ).
fof(f10977,plain,
( spl0_862
| ~ spl0_473
| ~ spl0_559 ),
inference(avatar_split_clause,[],[f4488,f4458,f3850,f10975]) ).
fof(f10975,plain,
( spl0_862
<=> ! [X0,X3,X2,X1] :
( ~ c_lessequals(X0,X1,tc_set(X2))
| ~ c_lessequals(X3,X1,tc_set(X2))
| c_union(X0,X3,X2) = X1
| c_less(c_union(X0,X3,X2),X1,tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_862])]) ).
fof(f4488,plain,
( ! [X2,X3,X0,X1] :
( ~ c_lessequals(X0,X1,tc_set(X2))
| ~ c_lessequals(X3,X1,tc_set(X2))
| c_union(X0,X3,X2) = X1
| c_less(c_union(X0,X3,X2),X1,tc_set(X2)) )
| ~ spl0_473
| ~ spl0_559 ),
inference(resolution,[],[f4459,f3851]) ).
fof(f10973,plain,
( spl0_861
| ~ spl0_690
| ~ spl0_719 ),
inference(avatar_split_clause,[],[f6982,f6615,f6209,f10971]) ).
fof(f10971,plain,
( spl0_861
<=> ! [X0] : c_lessequals(X0,c_Message_Oparts(c_Message_Oparts(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg))),tc_set(tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_861])]) ).
fof(f6615,plain,
( spl0_719
<=> ! [X0] : c_in(X0,c_Message_Oparts(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_719])]) ).
fof(f6982,plain,
( ! [X0] : c_lessequals(X0,c_Message_Oparts(c_Message_Oparts(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg))),tc_set(tc_Message_Omsg))
| ~ spl0_690
| ~ spl0_719 ),
inference(resolution,[],[f6616,f6210]) ).
fof(f6616,plain,
( ! [X0] : c_in(X0,c_Message_Oparts(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)),tc_Message_Omsg)
| ~ spl0_719 ),
inference(avatar_component_clause,[],[f6615]) ).
fof(f10969,plain,
( spl0_860
| ~ spl0_475
| ~ spl0_559 ),
inference(avatar_split_clause,[],[f4486,f4458,f3858,f10967]) ).
fof(f10967,plain,
( spl0_860
<=> ! [X0,X3,X2,X1] :
( ~ c_lessequals(X0,X1,tc_set(X2))
| ~ c_lessequals(X3,X1,tc_set(X2))
| ~ c_lessequals(X1,c_union(X0,X3,X2),tc_set(X2))
| c_union(X0,X3,X2) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_860])]) ).
fof(f4486,plain,
( ! [X2,X3,X0,X1] :
( ~ c_lessequals(X0,X1,tc_set(X2))
| ~ c_lessequals(X3,X1,tc_set(X2))
| ~ c_lessequals(X1,c_union(X0,X3,X2),tc_set(X2))
| c_union(X0,X3,X2) = X1 )
| ~ spl0_475
| ~ spl0_559 ),
inference(resolution,[],[f4459,f3859]) ).
fof(f10965,plain,
( spl0_859
| ~ spl0_429
| ~ spl0_531 ),
inference(avatar_split_clause,[],[f4350,f4276,f3596,f10963]) ).
fof(f10963,plain,
( spl0_859
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,c_List_Oset(c_Main_OsubsetI__1(c_List_Olists(X1,X2),X3,tc_List_Olist(X2)),X2),X2)
| c_in(X0,X1,X2)
| c_lessequals(c_List_Olists(X1,X2),X3,tc_set(tc_List_Olist(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_859])]) ).
fof(f4350,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,c_List_Oset(c_Main_OsubsetI__1(c_List_Olists(X1,X2),X3,tc_List_Olist(X2)),X2),X2)
| c_in(X0,X1,X2)
| c_lessequals(c_List_Olists(X1,X2),X3,tc_set(tc_List_Olist(X2))) )
| ~ spl0_429
| ~ spl0_531 ),
inference(resolution,[],[f4277,f3597]) ).
fof(f10961,plain,
( spl0_858
| ~ spl0_513
| ~ spl0_516 ),
inference(avatar_split_clause,[],[f4201,f4101,f4089,f10959]) ).
fof(f10959,plain,
( spl0_858
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_Union(c_inter(X3,X4,tc_set(X2)),X2),X2)
| ~ c_in(X1,X3,tc_set(X2))
| ~ c_in(X1,X4,tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_858])]) ).
fof(f4201,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_Union(c_inter(X3,X4,tc_set(X2)),X2),X2)
| ~ c_in(X1,X3,tc_set(X2))
| ~ c_in(X1,X4,tc_set(X2)) )
| ~ spl0_513
| ~ spl0_516 ),
inference(resolution,[],[f4102,f4090]) ).
fof(f10957,plain,
( spl0_857
| ~ spl0_453
| ~ spl0_489 ),
inference(avatar_split_clause,[],[f4016,f3939,f3693,f10955]) ).
fof(f10955,plain,
( spl0_857
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,c_Union(c_minus(X1,X2,tc_set(tc_set(X3))),X3),X3)
| ~ c_in(c_Main_OUnionE__1(X0,c_minus(X1,X2,tc_set(tc_set(X3))),X3),X2,tc_set(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_857])]) ).
fof(f4016,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Union(c_minus(X1,X2,tc_set(tc_set(X3))),X3),X3)
| ~ c_in(c_Main_OUnionE__1(X0,c_minus(X1,X2,tc_set(tc_set(X3))),X3),X2,tc_set(X3)) )
| ~ spl0_453
| ~ spl0_489 ),
inference(resolution,[],[f3940,f3694]) ).
fof(f10953,plain,
( spl0_856
| ~ spl0_454
| ~ spl0_489 ),
inference(avatar_split_clause,[],[f4015,f3939,f3697,f10951]) ).
fof(f10951,plain,
( spl0_856
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,c_Union(c_minus(X1,X2,tc_set(tc_set(X3))),X3),X3)
| c_in(c_Main_OUnionE__1(X0,c_minus(X1,X2,tc_set(tc_set(X3))),X3),X1,tc_set(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_856])]) ).
fof(f4015,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Union(c_minus(X1,X2,tc_set(tc_set(X3))),X3),X3)
| c_in(c_Main_OUnionE__1(X0,c_minus(X1,X2,tc_set(tc_set(X3))),X3),X1,tc_set(X3)) )
| ~ spl0_454
| ~ spl0_489 ),
inference(resolution,[],[f3940,f3698]) ).
fof(f10949,plain,
( spl0_855
| ~ spl0_453
| ~ spl0_488 ),
inference(avatar_split_clause,[],[f4003,f3935,f3693,f10947]) ).
fof(f10947,plain,
( spl0_855
<=> ! [X0,X3,X2,X1] :
( c_in(X0,c_Inter(c_minus(X1,X2,tc_set(tc_set(X3))),X3),X3)
| ~ c_in(c_Main_OInterI__1(X0,c_minus(X1,X2,tc_set(tc_set(X3))),X3),X2,tc_set(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_855])]) ).
fof(f4003,plain,
( ! [X2,X3,X0,X1] :
( c_in(X0,c_Inter(c_minus(X1,X2,tc_set(tc_set(X3))),X3),X3)
| ~ c_in(c_Main_OInterI__1(X0,c_minus(X1,X2,tc_set(tc_set(X3))),X3),X2,tc_set(X3)) )
| ~ spl0_453
| ~ spl0_488 ),
inference(resolution,[],[f3936,f3694]) ).
fof(f10945,plain,
( spl0_854
| ~ spl0_454
| ~ spl0_488 ),
inference(avatar_split_clause,[],[f4002,f3935,f3697,f10943]) ).
fof(f10943,plain,
( spl0_854
<=> ! [X0,X3,X2,X1] :
( c_in(X0,c_Inter(c_minus(X1,X2,tc_set(tc_set(X3))),X3),X3)
| c_in(c_Main_OInterI__1(X0,c_minus(X1,X2,tc_set(tc_set(X3))),X3),X1,tc_set(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_854])]) ).
fof(f4002,plain,
( ! [X2,X3,X0,X1] :
( c_in(X0,c_Inter(c_minus(X1,X2,tc_set(tc_set(X3))),X3),X3)
| c_in(c_Main_OInterI__1(X0,c_minus(X1,X2,tc_set(tc_set(X3))),X3),X1,tc_set(X3)) )
| ~ spl0_454
| ~ spl0_488 ),
inference(resolution,[],[f3936,f3698]) ).
fof(f10872,plain,
( spl0_853
| ~ spl0_689
| ~ spl0_719 ),
inference(avatar_split_clause,[],[f6981,f6615,f6205,f10870]) ).
fof(f10870,plain,
( spl0_853
<=> ! [X0] : c_lessequals(X0,c_Message_Oanalz(c_Message_Oparts(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg))),tc_set(tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_853])]) ).
fof(f6981,plain,
( ! [X0] : c_lessequals(X0,c_Message_Oanalz(c_Message_Oparts(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg))),tc_set(tc_Message_Omsg))
| ~ spl0_689
| ~ spl0_719 ),
inference(resolution,[],[f6616,f6206]) ).
fof(f10671,plain,
( spl0_852
| ~ spl0_688
| ~ spl0_719 ),
inference(avatar_split_clause,[],[f6980,f6615,f6201,f10669]) ).
fof(f10669,plain,
( spl0_852
<=> ! [X0] : c_lessequals(X0,c_Message_Osynth(c_Message_Oparts(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg))),tc_set(tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_852])]) ).
fof(f6980,plain,
( ! [X0] : c_lessequals(X0,c_Message_Osynth(c_Message_Oparts(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg))),tc_set(tc_Message_Omsg))
| ~ spl0_688
| ~ spl0_719 ),
inference(resolution,[],[f6616,f6202]) ).
fof(f10656,plain,
( spl0_851
| ~ spl0_570
| ~ spl0_577 ),
inference(avatar_split_clause,[],[f4672,f4660,f4557,f10654]) ).
fof(f10654,plain,
( spl0_851
<=> ! [X4,X0,X3,X2,X1] :
( c_in(X0,c_Relation_OImage(X1,X2,X3,X4),X4)
| ~ c_in(c_Main_ORangeE__1(X0,X1,X4,X3),X2,X3)
| ~ c_in(X0,c_Relation_ORange(X1,X3,X4),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_851])]) ).
fof(f4672,plain,
( ! [X2,X3,X0,X1,X4] :
( c_in(X0,c_Relation_OImage(X1,X2,X3,X4),X4)
| ~ c_in(c_Main_ORangeE__1(X0,X1,X4,X3),X2,X3)
| ~ c_in(X0,c_Relation_ORange(X1,X3,X4),X4) )
| ~ spl0_570
| ~ spl0_577 ),
inference(resolution,[],[f4661,f4558]) ).
fof(f10652,plain,
( spl0_850
| ~ spl0_569
| ~ spl0_577 ),
inference(avatar_split_clause,[],[f4671,f4660,f4553,f10650]) ).
fof(f10650,plain,
( spl0_850
<=> ! [X4,X0,X3,X2,X1] :
( c_in(c_Main_ODomainE__1(X0,X1,X2,X3),c_Relation_OImage(X1,X4,X2,X3),X3)
| ~ c_in(X0,X4,X2)
| ~ c_in(X0,c_Relation_ODomain(X1,X2,X3),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_850])]) ).
fof(f4671,plain,
( ! [X2,X3,X0,X1,X4] :
( c_in(c_Main_ODomainE__1(X0,X1,X2,X3),c_Relation_OImage(X1,X4,X2,X3),X3)
| ~ c_in(X0,X4,X2)
| ~ c_in(X0,c_Relation_ODomain(X1,X2,X3),X2) )
| ~ spl0_569
| ~ spl0_577 ),
inference(resolution,[],[f4661,f4554]) ).
fof(f10648,plain,
( spl0_849
| ~ spl0_561
| ~ spl0_570 ),
inference(avatar_split_clause,[],[f4620,f4557,f4497,f10646]) ).
fof(f10646,plain,
( spl0_849
<=> ! [X0,X1] :
( ~ c_in(c_List_Olist_ONil,c_Relation_ORange(c_List_Olistrel(X0,X1),tc_List_Olist(X1),tc_List_Olist(X1)),tc_List_Olist(X1))
| c_List_Olist_ONil = c_Main_ORangeE__1(c_List_Olist_ONil,c_List_Olistrel(X0,X1),tc_List_Olist(X1),tc_List_Olist(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_849])]) ).
fof(f4620,plain,
( ! [X0,X1] :
( ~ c_in(c_List_Olist_ONil,c_Relation_ORange(c_List_Olistrel(X0,X1),tc_List_Olist(X1),tc_List_Olist(X1)),tc_List_Olist(X1))
| c_List_Olist_ONil = c_Main_ORangeE__1(c_List_Olist_ONil,c_List_Olistrel(X0,X1),tc_List_Olist(X1),tc_List_Olist(X1)) )
| ~ spl0_561
| ~ spl0_570 ),
inference(resolution,[],[f4558,f4498]) ).
fof(f10644,plain,
( spl0_848
| ~ spl0_560
| ~ spl0_569 ),
inference(avatar_split_clause,[],[f4595,f4553,f4493,f10642]) ).
fof(f10642,plain,
( spl0_848
<=> ! [X0,X1] :
( ~ c_in(c_List_Olist_ONil,c_Relation_ODomain(c_List_Olistrel(X0,X1),tc_List_Olist(X1),tc_List_Olist(X1)),tc_List_Olist(X1))
| c_List_Olist_ONil = c_Main_ODomainE__1(c_List_Olist_ONil,c_List_Olistrel(X0,X1),tc_List_Olist(X1),tc_List_Olist(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_848])]) ).
fof(f4595,plain,
( ! [X0,X1] :
( ~ c_in(c_List_Olist_ONil,c_Relation_ODomain(c_List_Olistrel(X0,X1),tc_List_Olist(X1),tc_List_Olist(X1)),tc_List_Olist(X1))
| c_List_Olist_ONil = c_Main_ODomainE__1(c_List_Olist_ONil,c_List_Olistrel(X0,X1),tc_List_Olist(X1),tc_List_Olist(X1)) )
| ~ spl0_560
| ~ spl0_569 ),
inference(resolution,[],[f4554,f4494]) ).
fof(f10640,plain,
( spl0_847
| ~ spl0_401
| ~ spl0_534 ),
inference(avatar_split_clause,[],[f4372,f4289,f3429,f10638]) ).
fof(f10638,plain,
( spl0_847
<=> ! [X0,X1] : c_Pair(X0,X0,X1,X1) = c_Pair(c_Main_OIdE__1(c_Pair(X0,X0,X1,X1),X1),c_Main_OIdE__1(c_Pair(X0,X0,X1,X1),X1),X1,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_847])]) ).
fof(f4372,plain,
( ! [X0,X1] : c_Pair(X0,X0,X1,X1) = c_Pair(c_Main_OIdE__1(c_Pair(X0,X0,X1,X1),X1),c_Main_OIdE__1(c_Pair(X0,X0,X1,X1),X1),X1,X1)
| ~ spl0_401
| ~ spl0_534 ),
inference(resolution,[],[f4290,f3430]) ).
fof(f10636,plain,
( spl0_846
| ~ spl0_429
| ~ spl0_500 ),
inference(avatar_split_clause,[],[f4114,f4037,f3596,f10634]) ).
fof(f10634,plain,
( spl0_846
<=> ! [X2,X0,X1] :
( c_in(c_Main_OdiagE__1(X0,c_Main_OsubsetI__1(c_Relation_Odiag(X0,X1),X2,tc_prod(X1,X1)),X1),X0,X1)
| c_lessequals(c_Relation_Odiag(X0,X1),X2,tc_set(tc_prod(X1,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_846])]) ).
fof(f4114,plain,
( ! [X2,X0,X1] :
( c_in(c_Main_OdiagE__1(X0,c_Main_OsubsetI__1(c_Relation_Odiag(X0,X1),X2,tc_prod(X1,X1)),X1),X0,X1)
| c_lessequals(c_Relation_Odiag(X0,X1),X2,tc_set(tc_prod(X1,X1))) )
| ~ spl0_429
| ~ spl0_500 ),
inference(resolution,[],[f4038,f3597]) ).
fof(f10632,plain,
( spl0_845
| ~ spl0_447
| ~ spl0_489 ),
inference(avatar_split_clause,[],[f4019,f3939,f3669,f10630]) ).
fof(f10630,plain,
( spl0_845
<=> ! [X2,X0,X1] :
( ~ c_in(X0,c_Union(c_SetInterval_OgreaterThan(X1,tc_set(X2)),X2),X2)
| c_less(X1,c_Main_OUnionE__1(X0,c_SetInterval_OgreaterThan(X1,tc_set(X2)),X2),tc_set(X2))
| ~ class_Orderings_Oord(tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_845])]) ).
fof(f4019,plain,
( ! [X2,X0,X1] :
( ~ c_in(X0,c_Union(c_SetInterval_OgreaterThan(X1,tc_set(X2)),X2),X2)
| c_less(X1,c_Main_OUnionE__1(X0,c_SetInterval_OgreaterThan(X1,tc_set(X2)),X2),tc_set(X2))
| ~ class_Orderings_Oord(tc_set(X2)) )
| ~ spl0_447
| ~ spl0_489 ),
inference(resolution,[],[f3940,f3670]) ).
fof(f10628,plain,
( spl0_844
| ~ spl0_441
| ~ spl0_489 ),
inference(avatar_split_clause,[],[f4018,f3939,f3645,f10626]) ).
fof(f10626,plain,
( spl0_844
<=> ! [X2,X0,X1] :
( ~ c_in(X0,c_Union(c_SetInterval_OatLeast(X1,tc_set(X2)),X2),X2)
| c_lessequals(X1,c_Main_OUnionE__1(X0,c_SetInterval_OatLeast(X1,tc_set(X2)),X2),tc_set(X2))
| ~ class_Orderings_Oord(tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_844])]) ).
fof(f4018,plain,
( ! [X2,X0,X1] :
( ~ c_in(X0,c_Union(c_SetInterval_OatLeast(X1,tc_set(X2)),X2),X2)
| c_lessequals(X1,c_Main_OUnionE__1(X0,c_SetInterval_OatLeast(X1,tc_set(X2)),X2),tc_set(X2))
| ~ class_Orderings_Oord(tc_set(X2)) )
| ~ spl0_441
| ~ spl0_489 ),
inference(resolution,[],[f3940,f3646]) ).
fof(f10624,plain,
( spl0_843
| ~ spl0_450
| ~ spl0_489 ),
inference(avatar_split_clause,[],[f4013,f3939,f3681,f10622]) ).
fof(f10622,plain,
( spl0_843
<=> ! [X2,X0,X1] :
( ~ c_in(X0,c_Union(c_SetInterval_OlessThan(X1,tc_set(X2)),X2),X2)
| c_less(c_Main_OUnionE__1(X0,c_SetInterval_OlessThan(X1,tc_set(X2)),X2),X1,tc_set(X2))
| ~ class_Orderings_Oord(tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_843])]) ).
fof(f4013,plain,
( ! [X2,X0,X1] :
( ~ c_in(X0,c_Union(c_SetInterval_OlessThan(X1,tc_set(X2)),X2),X2)
| c_less(c_Main_OUnionE__1(X0,c_SetInterval_OlessThan(X1,tc_set(X2)),X2),X1,tc_set(X2))
| ~ class_Orderings_Oord(tc_set(X2)) )
| ~ spl0_450
| ~ spl0_489 ),
inference(resolution,[],[f3940,f3682]) ).
fof(f10603,plain,
( spl0_842
| ~ spl0_444
| ~ spl0_489 ),
inference(avatar_split_clause,[],[f4012,f3939,f3657,f10601]) ).
fof(f10601,plain,
( spl0_842
<=> ! [X2,X0,X1] :
( ~ c_in(X0,c_Union(c_SetInterval_OatMost(X1,tc_set(X2)),X2),X2)
| c_lessequals(c_Main_OUnionE__1(X0,c_SetInterval_OatMost(X1,tc_set(X2)),X2),X1,tc_set(X2))
| ~ class_Orderings_Oord(tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_842])]) ).
fof(f4012,plain,
( ! [X2,X0,X1] :
( ~ c_in(X0,c_Union(c_SetInterval_OatMost(X1,tc_set(X2)),X2),X2)
| c_lessequals(c_Main_OUnionE__1(X0,c_SetInterval_OatMost(X1,tc_set(X2)),X2),X1,tc_set(X2))
| ~ class_Orderings_Oord(tc_set(X2)) )
| ~ spl0_444
| ~ spl0_489 ),
inference(resolution,[],[f3940,f3658]) ).
fof(f10599,plain,
( spl0_841
| ~ spl0_447
| ~ spl0_488 ),
inference(avatar_split_clause,[],[f4006,f3935,f3669,f10597]) ).
fof(f10597,plain,
( spl0_841
<=> ! [X2,X0,X1] :
( c_in(X0,c_Inter(c_SetInterval_OgreaterThan(X1,tc_set(X2)),X2),X2)
| c_less(X1,c_Main_OInterI__1(X0,c_SetInterval_OgreaterThan(X1,tc_set(X2)),X2),tc_set(X2))
| ~ class_Orderings_Oord(tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_841])]) ).
fof(f4006,plain,
( ! [X2,X0,X1] :
( c_in(X0,c_Inter(c_SetInterval_OgreaterThan(X1,tc_set(X2)),X2),X2)
| c_less(X1,c_Main_OInterI__1(X0,c_SetInterval_OgreaterThan(X1,tc_set(X2)),X2),tc_set(X2))
| ~ class_Orderings_Oord(tc_set(X2)) )
| ~ spl0_447
| ~ spl0_488 ),
inference(resolution,[],[f3936,f3670]) ).
fof(f10595,plain,
( spl0_840
| ~ spl0_441
| ~ spl0_488 ),
inference(avatar_split_clause,[],[f4005,f3935,f3645,f10593]) ).
fof(f10593,plain,
( spl0_840
<=> ! [X2,X0,X1] :
( c_in(X0,c_Inter(c_SetInterval_OatLeast(X1,tc_set(X2)),X2),X2)
| c_lessequals(X1,c_Main_OInterI__1(X0,c_SetInterval_OatLeast(X1,tc_set(X2)),X2),tc_set(X2))
| ~ class_Orderings_Oord(tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_840])]) ).
fof(f4005,plain,
( ! [X2,X0,X1] :
( c_in(X0,c_Inter(c_SetInterval_OatLeast(X1,tc_set(X2)),X2),X2)
| c_lessequals(X1,c_Main_OInterI__1(X0,c_SetInterval_OatLeast(X1,tc_set(X2)),X2),tc_set(X2))
| ~ class_Orderings_Oord(tc_set(X2)) )
| ~ spl0_441
| ~ spl0_488 ),
inference(resolution,[],[f3936,f3646]) ).
fof(f10591,plain,
( spl0_839
| ~ spl0_450
| ~ spl0_488 ),
inference(avatar_split_clause,[],[f4000,f3935,f3681,f10589]) ).
fof(f10589,plain,
( spl0_839
<=> ! [X2,X0,X1] :
( c_in(X0,c_Inter(c_SetInterval_OlessThan(X1,tc_set(X2)),X2),X2)
| c_less(c_Main_OInterI__1(X0,c_SetInterval_OlessThan(X1,tc_set(X2)),X2),X1,tc_set(X2))
| ~ class_Orderings_Oord(tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_839])]) ).
fof(f4000,plain,
( ! [X2,X0,X1] :
( c_in(X0,c_Inter(c_SetInterval_OlessThan(X1,tc_set(X2)),X2),X2)
| c_less(c_Main_OInterI__1(X0,c_SetInterval_OlessThan(X1,tc_set(X2)),X2),X1,tc_set(X2))
| ~ class_Orderings_Oord(tc_set(X2)) )
| ~ spl0_450
| ~ spl0_488 ),
inference(resolution,[],[f3936,f3682]) ).
fof(f10587,plain,
( spl0_838
| ~ spl0_444
| ~ spl0_488 ),
inference(avatar_split_clause,[],[f3999,f3935,f3657,f10585]) ).
fof(f10585,plain,
( spl0_838
<=> ! [X2,X0,X1] :
( c_in(X0,c_Inter(c_SetInterval_OatMost(X1,tc_set(X2)),X2),X2)
| c_lessequals(c_Main_OInterI__1(X0,c_SetInterval_OatMost(X1,tc_set(X2)),X2),X1,tc_set(X2))
| ~ class_Orderings_Oord(tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_838])]) ).
fof(f3999,plain,
( ! [X2,X0,X1] :
( c_in(X0,c_Inter(c_SetInterval_OatMost(X1,tc_set(X2)),X2),X2)
| c_lessequals(c_Main_OInterI__1(X0,c_SetInterval_OatMost(X1,tc_set(X2)),X2),X1,tc_set(X2))
| ~ class_Orderings_Oord(tc_set(X2)) )
| ~ spl0_444
| ~ spl0_488 ),
inference(resolution,[],[f3936,f3658]) ).
fof(f10208,plain,
( spl0_837
| ~ spl0_486
| ~ spl0_678 ),
inference(avatar_split_clause,[],[f6157,f6109,f3927,f10206]) ).
fof(f6157,plain,
( ! [X0,X1] : c_in(X0,c_List_Olists(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,X1),X1),tc_List_Olist(X1))
| ~ spl0_486
| ~ spl0_678 ),
inference(resolution,[],[f6110,f3928]) ).
fof(f9546,plain,
( spl0_836
| ~ spl0_543
| ~ spl0_671 ),
inference(avatar_split_clause,[],[f6071,f5913,f4325,f9544]) ).
fof(f4325,plain,
( spl0_543
<=> c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_543])]) ).
fof(f6071,plain,
( ! [X0,X1] : c_in(X0,c_Relation_OImage(c_UNIV,c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg,X1),X1)
| ~ spl0_543
| ~ spl0_671 ),
inference(resolution,[],[f5914,f4326]) ).
fof(f4326,plain,
( c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg)
| ~ spl0_543 ),
inference(avatar_component_clause,[],[f4325]) ).
fof(f9542,plain,
( spl0_835
| ~ spl0_415
| ~ spl0_536 ),
inference(avatar_split_clause,[],[f4398,f4297,f3521,f9540]) ).
fof(f9540,plain,
( spl0_835
<=> ! [X5,X4,X0,X3,X2,X1] :
( c_in(X0,c_Relation_ORange(c_union(X1,X2,tc_prod(X3,X4)),X3,X4),X4)
| ~ c_in(c_Pair(X5,X0,X3,X4),X2,tc_prod(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_835])]) ).
fof(f4398,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( c_in(X0,c_Relation_ORange(c_union(X1,X2,tc_prod(X3,X4)),X3,X4),X4)
| ~ c_in(c_Pair(X5,X0,X3,X4),X2,tc_prod(X3,X4)) )
| ~ spl0_415
| ~ spl0_536 ),
inference(resolution,[],[f4298,f3522]) ).
fof(f9538,plain,
( spl0_834
| ~ spl0_416
| ~ spl0_536 ),
inference(avatar_split_clause,[],[f4397,f4297,f3525,f9536]) ).
fof(f9536,plain,
( spl0_834
<=> ! [X5,X4,X0,X3,X2,X1] :
( c_in(X0,c_Relation_ORange(c_union(X1,X2,tc_prod(X3,X4)),X3,X4),X4)
| ~ c_in(c_Pair(X5,X0,X3,X4),X1,tc_prod(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_834])]) ).
fof(f4397,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( c_in(X0,c_Relation_ORange(c_union(X1,X2,tc_prod(X3,X4)),X3,X4),X4)
| ~ c_in(c_Pair(X5,X0,X3,X4),X1,tc_prod(X3,X4)) )
| ~ spl0_416
| ~ spl0_536 ),
inference(resolution,[],[f4298,f3526]) ).
fof(f9534,plain,
( spl0_833
| ~ spl0_417
| ~ spl0_536 ),
inference(avatar_split_clause,[],[f4394,f4297,f3529,f9532]) ).
fof(f9532,plain,
( spl0_833
<=> ! [X5,X4,X0,X3,X2,X1] :
( c_in(X0,c_Relation_ORange(c_insert(X1,X2,tc_prod(X3,X4)),X3,X4),X4)
| ~ c_in(c_Pair(X5,X0,X3,X4),X2,tc_prod(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_833])]) ).
fof(f4394,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( c_in(X0,c_Relation_ORange(c_insert(X1,X2,tc_prod(X3,X4)),X3,X4),X4)
| ~ c_in(c_Pair(X5,X0,X3,X4),X2,tc_prod(X3,X4)) )
| ~ spl0_417
| ~ spl0_536 ),
inference(resolution,[],[f4298,f3530]) ).
fof(f9530,plain,
( spl0_832
| ~ spl0_412
| ~ spl0_536 ),
inference(avatar_split_clause,[],[f4388,f4297,f3509,f9528]) ).
fof(f9528,plain,
( spl0_832
<=> ! [X4,X0,X3,X2,X1] :
( c_in(X0,c_Relation_ORange(c_uminus(X1,tc_set(tc_prod(X2,X3))),X2,X3),X3)
| c_in(c_Pair(X4,X0,X2,X3),X1,tc_prod(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_832])]) ).
fof(f4388,plain,
( ! [X2,X3,X0,X1,X4] :
( c_in(X0,c_Relation_ORange(c_uminus(X1,tc_set(tc_prod(X2,X3))),X2,X3),X3)
| c_in(c_Pair(X4,X0,X2,X3),X1,tc_prod(X2,X3)) )
| ~ spl0_412
| ~ spl0_536 ),
inference(resolution,[],[f4298,f3510]) ).
fof(f9526,plain,
( spl0_831
| ~ spl0_415
| ~ spl0_533 ),
inference(avatar_split_clause,[],[f4371,f4285,f3521,f9524]) ).
fof(f9524,plain,
( spl0_831
<=> ! [X5,X4,X0,X3,X2,X1] :
( c_in(X0,c_Relation_ODomain(c_union(X1,X2,tc_prod(X3,X4)),X3,X4),X3)
| ~ c_in(c_Pair(X0,X5,X3,X4),X2,tc_prod(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_831])]) ).
fof(f4371,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( c_in(X0,c_Relation_ODomain(c_union(X1,X2,tc_prod(X3,X4)),X3,X4),X3)
| ~ c_in(c_Pair(X0,X5,X3,X4),X2,tc_prod(X3,X4)) )
| ~ spl0_415
| ~ spl0_533 ),
inference(resolution,[],[f4286,f3522]) ).
fof(f9522,plain,
( spl0_830
| ~ spl0_416
| ~ spl0_533 ),
inference(avatar_split_clause,[],[f4370,f4285,f3525,f9520]) ).
fof(f9520,plain,
( spl0_830
<=> ! [X5,X4,X0,X3,X2,X1] :
( c_in(X0,c_Relation_ODomain(c_union(X1,X2,tc_prod(X3,X4)),X3,X4),X3)
| ~ c_in(c_Pair(X0,X5,X3,X4),X1,tc_prod(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_830])]) ).
fof(f4370,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( c_in(X0,c_Relation_ODomain(c_union(X1,X2,tc_prod(X3,X4)),X3,X4),X3)
| ~ c_in(c_Pair(X0,X5,X3,X4),X1,tc_prod(X3,X4)) )
| ~ spl0_416
| ~ spl0_533 ),
inference(resolution,[],[f4286,f3526]) ).
fof(f9518,plain,
( spl0_829
| ~ spl0_417
| ~ spl0_533 ),
inference(avatar_split_clause,[],[f4367,f4285,f3529,f9516]) ).
fof(f9516,plain,
( spl0_829
<=> ! [X5,X4,X0,X3,X2,X1] :
( c_in(X0,c_Relation_ODomain(c_insert(X1,X2,tc_prod(X3,X4)),X3,X4),X3)
| ~ c_in(c_Pair(X0,X5,X3,X4),X2,tc_prod(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_829])]) ).
fof(f4367,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( c_in(X0,c_Relation_ODomain(c_insert(X1,X2,tc_prod(X3,X4)),X3,X4),X3)
| ~ c_in(c_Pair(X0,X5,X3,X4),X2,tc_prod(X3,X4)) )
| ~ spl0_417
| ~ spl0_533 ),
inference(resolution,[],[f4286,f3530]) ).
fof(f9514,plain,
( spl0_828
| ~ spl0_412
| ~ spl0_533 ),
inference(avatar_split_clause,[],[f4361,f4285,f3509,f9512]) ).
fof(f9512,plain,
( spl0_828
<=> ! [X4,X0,X3,X2,X1] :
( c_in(X0,c_Relation_ODomain(c_uminus(X1,tc_set(tc_prod(X2,X3))),X2,X3),X2)
| c_in(c_Pair(X0,X4,X2,X3),X1,tc_prod(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_828])]) ).
fof(f4361,plain,
( ! [X2,X3,X0,X1,X4] :
( c_in(X0,c_Relation_ODomain(c_uminus(X1,tc_set(tc_prod(X2,X3))),X2,X3),X2)
| c_in(c_Pair(X0,X4,X2,X3),X1,tc_prod(X2,X3)) )
| ~ spl0_412
| ~ spl0_533 ),
inference(resolution,[],[f4286,f3510]) ).
fof(f9510,plain,
( spl0_827
| ~ spl0_472
| ~ spl0_516 ),
inference(avatar_split_clause,[],[f4194,f4101,f3846,f9508]) ).
fof(f9508,plain,
( spl0_827
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_Union(c_Main_OUnionE__1(X1,X3,tc_set(X2)),X2),X2)
| ~ c_in(X1,c_Union(X3,tc_set(X2)),tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_827])]) ).
fof(f4194,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_Union(c_Main_OUnionE__1(X1,X3,tc_set(X2)),X2),X2)
| ~ c_in(X1,c_Union(X3,tc_set(X2)),tc_set(X2)) )
| ~ spl0_472
| ~ spl0_516 ),
inference(resolution,[],[f4102,f3847]) ).
fof(f9506,plain,
( spl0_826
| ~ spl0_473
| ~ spl0_512 ),
inference(avatar_split_clause,[],[f4149,f4085,f3850,f9504]) ).
fof(f9504,plain,
( spl0_826
<=> ! [X2,X0,X1] :
( ~ c_lessequals(X0,X1,X2)
| ~ class_Orderings_Olinorder(X2)
| c_SetInterval_OlessThan(X1,X2) = c_SetInterval_OlessThan(X0,X2)
| c_less(c_SetInterval_OlessThan(X0,X2),c_SetInterval_OlessThan(X1,X2),tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_826])]) ).
fof(f4085,plain,
( spl0_512
<=> ! [X0,X1,X3] :
( ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X0,X3,X1)
| c_lessequals(c_SetInterval_OlessThan(X0,X1),c_SetInterval_OlessThan(X3,X1),tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_512])]) ).
fof(f4149,plain,
( ! [X2,X0,X1] :
( ~ c_lessequals(X0,X1,X2)
| ~ class_Orderings_Olinorder(X2)
| c_SetInterval_OlessThan(X1,X2) = c_SetInterval_OlessThan(X0,X2)
| c_less(c_SetInterval_OlessThan(X0,X2),c_SetInterval_OlessThan(X1,X2),tc_set(X2)) )
| ~ spl0_473
| ~ spl0_512 ),
inference(resolution,[],[f4086,f3851]) ).
fof(f4086,plain,
( ! [X3,X0,X1] :
( c_lessequals(c_SetInterval_OlessThan(X0,X1),c_SetInterval_OlessThan(X3,X1),tc_set(X1))
| ~ c_lessequals(X0,X3,X1)
| ~ class_Orderings_Olinorder(X1) )
| ~ spl0_512 ),
inference(avatar_component_clause,[],[f4085]) ).
fof(f9475,plain,
( spl0_825
| ~ spl0_475
| ~ spl0_512 ),
inference(avatar_split_clause,[],[f4147,f4085,f3858,f9473]) ).
fof(f9473,plain,
( spl0_825
<=> ! [X2,X0,X1] :
( ~ c_lessequals(X0,X1,X2)
| ~ class_Orderings_Olinorder(X2)
| ~ c_lessequals(c_SetInterval_OlessThan(X1,X2),c_SetInterval_OlessThan(X0,X2),tc_set(X2))
| c_SetInterval_OlessThan(X1,X2) = c_SetInterval_OlessThan(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_825])]) ).
fof(f4147,plain,
( ! [X2,X0,X1] :
( ~ c_lessequals(X0,X1,X2)
| ~ class_Orderings_Olinorder(X2)
| ~ c_lessequals(c_SetInterval_OlessThan(X1,X2),c_SetInterval_OlessThan(X0,X2),tc_set(X2))
| c_SetInterval_OlessThan(X1,X2) = c_SetInterval_OlessThan(X0,X2) )
| ~ spl0_475
| ~ spl0_512 ),
inference(resolution,[],[f4086,f3859]) ).
fof(f9471,plain,
( spl0_824
| ~ spl0_473
| ~ spl0_510 ),
inference(avatar_split_clause,[],[f4139,f4077,f3850,f9469]) ).
fof(f9469,plain,
( spl0_824
<=> ! [X2,X0,X1] :
( ~ c_lessequals(X0,X1,X2)
| ~ class_Orderings_Olinorder(X2)
| c_SetInterval_OgreaterThan(X1,X2) = c_SetInterval_OgreaterThan(X0,X2)
| c_less(c_SetInterval_OgreaterThan(X1,X2),c_SetInterval_OgreaterThan(X0,X2),tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_824])]) ).
fof(f4077,plain,
( spl0_510
<=> ! [X0,X1,X3] :
( ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X3,X0,X1)
| c_lessequals(c_SetInterval_OgreaterThan(X0,X1),c_SetInterval_OgreaterThan(X3,X1),tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_510])]) ).
fof(f4139,plain,
( ! [X2,X0,X1] :
( ~ c_lessequals(X0,X1,X2)
| ~ class_Orderings_Olinorder(X2)
| c_SetInterval_OgreaterThan(X1,X2) = c_SetInterval_OgreaterThan(X0,X2)
| c_less(c_SetInterval_OgreaterThan(X1,X2),c_SetInterval_OgreaterThan(X0,X2),tc_set(X2)) )
| ~ spl0_473
| ~ spl0_510 ),
inference(resolution,[],[f4078,f3851]) ).
fof(f4078,plain,
( ! [X3,X0,X1] :
( c_lessequals(c_SetInterval_OgreaterThan(X0,X1),c_SetInterval_OgreaterThan(X3,X1),tc_set(X1))
| ~ c_lessequals(X3,X0,X1)
| ~ class_Orderings_Olinorder(X1) )
| ~ spl0_510 ),
inference(avatar_component_clause,[],[f4077]) ).
fof(f9467,plain,
( spl0_823
| ~ spl0_475
| ~ spl0_510 ),
inference(avatar_split_clause,[],[f4137,f4077,f3858,f9465]) ).
fof(f9465,plain,
( spl0_823
<=> ! [X2,X0,X1] :
( ~ c_lessequals(X0,X1,X2)
| ~ class_Orderings_Olinorder(X2)
| ~ c_lessequals(c_SetInterval_OgreaterThan(X0,X2),c_SetInterval_OgreaterThan(X1,X2),tc_set(X2))
| c_SetInterval_OgreaterThan(X1,X2) = c_SetInterval_OgreaterThan(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_823])]) ).
fof(f4137,plain,
( ! [X2,X0,X1] :
( ~ c_lessequals(X0,X1,X2)
| ~ class_Orderings_Olinorder(X2)
| ~ c_lessequals(c_SetInterval_OgreaterThan(X0,X2),c_SetInterval_OgreaterThan(X1,X2),tc_set(X2))
| c_SetInterval_OgreaterThan(X1,X2) = c_SetInterval_OgreaterThan(X0,X2) )
| ~ spl0_475
| ~ spl0_510 ),
inference(resolution,[],[f4078,f3859]) ).
fof(f9463,plain,
( spl0_822
| ~ spl0_473
| ~ spl0_507 ),
inference(avatar_split_clause,[],[f4132,f4065,f3850,f9461]) ).
fof(f9461,plain,
( spl0_822
<=> ! [X2,X0,X1] :
( ~ c_lessequals(X0,X1,X2)
| ~ class_Orderings_Oorder(X2)
| c_SetInterval_OatMost(X1,X2) = c_SetInterval_OatMost(X0,X2)
| c_less(c_SetInterval_OatMost(X0,X2),c_SetInterval_OatMost(X1,X2),tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_822])]) ).
fof(f4065,plain,
( spl0_507
<=> ! [X0,X1,X3] :
( ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X0,X3,X1)
| c_lessequals(c_SetInterval_OatMost(X0,X1),c_SetInterval_OatMost(X3,X1),tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_507])]) ).
fof(f4132,plain,
( ! [X2,X0,X1] :
( ~ c_lessequals(X0,X1,X2)
| ~ class_Orderings_Oorder(X2)
| c_SetInterval_OatMost(X1,X2) = c_SetInterval_OatMost(X0,X2)
| c_less(c_SetInterval_OatMost(X0,X2),c_SetInterval_OatMost(X1,X2),tc_set(X2)) )
| ~ spl0_473
| ~ spl0_507 ),
inference(resolution,[],[f4066,f3851]) ).
fof(f4066,plain,
( ! [X3,X0,X1] :
( c_lessequals(c_SetInterval_OatMost(X0,X1),c_SetInterval_OatMost(X3,X1),tc_set(X1))
| ~ c_lessequals(X0,X3,X1)
| ~ class_Orderings_Oorder(X1) )
| ~ spl0_507 ),
inference(avatar_component_clause,[],[f4065]) ).
fof(f9459,plain,
( spl0_821
| ~ spl0_475
| ~ spl0_507 ),
inference(avatar_split_clause,[],[f4130,f4065,f3858,f9457]) ).
fof(f9457,plain,
( spl0_821
<=> ! [X2,X0,X1] :
( ~ c_lessequals(X0,X1,X2)
| ~ class_Orderings_Oorder(X2)
| ~ c_lessequals(c_SetInterval_OatMost(X1,X2),c_SetInterval_OatMost(X0,X2),tc_set(X2))
| c_SetInterval_OatMost(X1,X2) = c_SetInterval_OatMost(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_821])]) ).
fof(f4130,plain,
( ! [X2,X0,X1] :
( ~ c_lessequals(X0,X1,X2)
| ~ class_Orderings_Oorder(X2)
| ~ c_lessequals(c_SetInterval_OatMost(X1,X2),c_SetInterval_OatMost(X0,X2),tc_set(X2))
| c_SetInterval_OatMost(X1,X2) = c_SetInterval_OatMost(X0,X2) )
| ~ spl0_475
| ~ spl0_507 ),
inference(resolution,[],[f4066,f3859]) ).
fof(f9455,plain,
( spl0_820
| ~ spl0_473
| ~ spl0_505 ),
inference(avatar_split_clause,[],[f4125,f4057,f3850,f9453]) ).
fof(f9453,plain,
( spl0_820
<=> ! [X2,X0,X1] :
( ~ c_lessequals(X0,X1,X2)
| ~ class_Orderings_Oorder(X2)
| c_SetInterval_OatLeast(X1,X2) = c_SetInterval_OatLeast(X0,X2)
| c_less(c_SetInterval_OatLeast(X1,X2),c_SetInterval_OatLeast(X0,X2),tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_820])]) ).
fof(f4057,plain,
( spl0_505
<=> ! [X0,X1,X3] :
( ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X3,X0,X1)
| c_lessequals(c_SetInterval_OatLeast(X0,X1),c_SetInterval_OatLeast(X3,X1),tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_505])]) ).
fof(f4125,plain,
( ! [X2,X0,X1] :
( ~ c_lessequals(X0,X1,X2)
| ~ class_Orderings_Oorder(X2)
| c_SetInterval_OatLeast(X1,X2) = c_SetInterval_OatLeast(X0,X2)
| c_less(c_SetInterval_OatLeast(X1,X2),c_SetInterval_OatLeast(X0,X2),tc_set(X2)) )
| ~ spl0_473
| ~ spl0_505 ),
inference(resolution,[],[f4058,f3851]) ).
fof(f4058,plain,
( ! [X3,X0,X1] :
( c_lessequals(c_SetInterval_OatLeast(X0,X1),c_SetInterval_OatLeast(X3,X1),tc_set(X1))
| ~ c_lessequals(X3,X0,X1)
| ~ class_Orderings_Oorder(X1) )
| ~ spl0_505 ),
inference(avatar_component_clause,[],[f4057]) ).
fof(f9451,plain,
( spl0_819
| ~ spl0_475
| ~ spl0_505 ),
inference(avatar_split_clause,[],[f4123,f4057,f3858,f9449]) ).
fof(f9449,plain,
( spl0_819
<=> ! [X2,X0,X1] :
( ~ c_lessequals(X0,X1,X2)
| ~ class_Orderings_Oorder(X2)
| ~ c_lessequals(c_SetInterval_OatLeast(X0,X2),c_SetInterval_OatLeast(X1,X2),tc_set(X2))
| c_SetInterval_OatLeast(X1,X2) = c_SetInterval_OatLeast(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_819])]) ).
fof(f4123,plain,
( ! [X2,X0,X1] :
( ~ c_lessequals(X0,X1,X2)
| ~ class_Orderings_Oorder(X2)
| ~ c_lessequals(c_SetInterval_OatLeast(X0,X2),c_SetInterval_OatLeast(X1,X2),tc_set(X2))
| c_SetInterval_OatLeast(X1,X2) = c_SetInterval_OatLeast(X0,X2) )
| ~ spl0_475
| ~ spl0_505 ),
inference(resolution,[],[f4058,f3859]) ).
fof(f9447,plain,
( spl0_818
| ~ spl0_430
| ~ spl0_491 ),
inference(avatar_split_clause,[],[f4021,f3947,f3600,f9445]) ).
fof(f9445,plain,
( spl0_818
<=> ! [X2,X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_Transitive__Closure_Ortrancl(X1,X2),tc_prod(X2,X2)),X1,tc_prod(X2,X2))
| c_lessequals(X0,c_Transitive__Closure_Ortrancl(X1,X2),tc_set(tc_prod(X2,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_818])]) ).
fof(f4021,plain,
( ! [X2,X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_Transitive__Closure_Ortrancl(X1,X2),tc_prod(X2,X2)),X1,tc_prod(X2,X2))
| c_lessequals(X0,c_Transitive__Closure_Ortrancl(X1,X2),tc_set(tc_prod(X2,X2))) )
| ~ spl0_430
| ~ spl0_491 ),
inference(resolution,[],[f3948,f3601]) ).
fof(f9443,plain,
( spl0_817
| ~ spl0_410
| ~ spl0_489 ),
inference(avatar_split_clause,[],[f4011,f3939,f3501,f9441]) ).
fof(f9441,plain,
( spl0_817
<=> ! [X2,X0,X1] :
( ~ c_in(X0,c_Union(c_uminus(X1,tc_set(tc_set(X2))),X2),X2)
| ~ c_in(c_Main_OUnionE__1(X0,c_uminus(X1,tc_set(tc_set(X2))),X2),X1,tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_817])]) ).
fof(f4011,plain,
( ! [X2,X0,X1] :
( ~ c_in(X0,c_Union(c_uminus(X1,tc_set(tc_set(X2))),X2),X2)
| ~ c_in(c_Main_OUnionE__1(X0,c_uminus(X1,tc_set(tc_set(X2))),X2),X1,tc_set(X2)) )
| ~ spl0_410
| ~ spl0_489 ),
inference(resolution,[],[f3940,f3502]) ).
fof(f9439,plain,
( spl0_816
| ~ spl0_413
| ~ spl0_489 ),
inference(avatar_split_clause,[],[f4010,f3939,f3513,f9437]) ).
fof(f9437,plain,
( spl0_816
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,c_Union(c_inter(X1,X2,tc_set(X3)),X3),X3)
| c_in(c_Main_OUnionE__1(X0,c_inter(X1,X2,tc_set(X3)),X3),X2,tc_set(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_816])]) ).
fof(f4010,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Union(c_inter(X1,X2,tc_set(X3)),X3),X3)
| c_in(c_Main_OUnionE__1(X0,c_inter(X1,X2,tc_set(X3)),X3),X2,tc_set(X3)) )
| ~ spl0_413
| ~ spl0_489 ),
inference(resolution,[],[f3940,f3514]) ).
fof(f9411,plain,
( spl0_815
| ~ spl0_414
| ~ spl0_489 ),
inference(avatar_split_clause,[],[f4009,f3939,f3517,f9409]) ).
fof(f9409,plain,
( spl0_815
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,c_Union(c_inter(X1,X2,tc_set(X3)),X3),X3)
| c_in(c_Main_OUnionE__1(X0,c_inter(X1,X2,tc_set(X3)),X3),X1,tc_set(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_815])]) ).
fof(f4009,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Union(c_inter(X1,X2,tc_set(X3)),X3),X3)
| c_in(c_Main_OUnionE__1(X0,c_inter(X1,X2,tc_set(X3)),X3),X1,tc_set(X3)) )
| ~ spl0_414
| ~ spl0_489 ),
inference(resolution,[],[f3940,f3518]) ).
fof(f9407,plain,
( spl0_814
| ~ spl0_410
| ~ spl0_488 ),
inference(avatar_split_clause,[],[f3998,f3935,f3501,f9405]) ).
fof(f9405,plain,
( spl0_814
<=> ! [X2,X0,X1] :
( c_in(X0,c_Inter(c_uminus(X1,tc_set(tc_set(X2))),X2),X2)
| ~ c_in(c_Main_OInterI__1(X0,c_uminus(X1,tc_set(tc_set(X2))),X2),X1,tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_814])]) ).
fof(f3998,plain,
( ! [X2,X0,X1] :
( c_in(X0,c_Inter(c_uminus(X1,tc_set(tc_set(X2))),X2),X2)
| ~ c_in(c_Main_OInterI__1(X0,c_uminus(X1,tc_set(tc_set(X2))),X2),X1,tc_set(X2)) )
| ~ spl0_410
| ~ spl0_488 ),
inference(resolution,[],[f3936,f3502]) ).
fof(f9403,plain,
( spl0_813
| ~ spl0_413
| ~ spl0_488 ),
inference(avatar_split_clause,[],[f3997,f3935,f3513,f9401]) ).
fof(f9401,plain,
( spl0_813
<=> ! [X0,X3,X2,X1] :
( c_in(X0,c_Inter(c_inter(X1,X2,tc_set(X3)),X3),X3)
| c_in(c_Main_OInterI__1(X0,c_inter(X1,X2,tc_set(X3)),X3),X2,tc_set(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_813])]) ).
fof(f3997,plain,
( ! [X2,X3,X0,X1] :
( c_in(X0,c_Inter(c_inter(X1,X2,tc_set(X3)),X3),X3)
| c_in(c_Main_OInterI__1(X0,c_inter(X1,X2,tc_set(X3)),X3),X2,tc_set(X3)) )
| ~ spl0_413
| ~ spl0_488 ),
inference(resolution,[],[f3936,f3514]) ).
fof(f9399,plain,
( spl0_812
| ~ spl0_414
| ~ spl0_488 ),
inference(avatar_split_clause,[],[f3996,f3935,f3517,f9397]) ).
fof(f9397,plain,
( spl0_812
<=> ! [X0,X3,X2,X1] :
( c_in(X0,c_Inter(c_inter(X1,X2,tc_set(X3)),X3),X3)
| c_in(c_Main_OInterI__1(X0,c_inter(X1,X2,tc_set(X3)),X3),X1,tc_set(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_812])]) ).
fof(f3996,plain,
( ! [X2,X3,X0,X1] :
( c_in(X0,c_Inter(c_inter(X1,X2,tc_set(X3)),X3),X3)
| c_in(c_Main_OInterI__1(X0,c_inter(X1,X2,tc_set(X3)),X3),X1,tc_set(X3)) )
| ~ spl0_414
| ~ spl0_488 ),
inference(resolution,[],[f3936,f3518]) ).
fof(f9395,plain,
( spl0_811
| ~ spl0_456
| ~ spl0_486 ),
inference(avatar_split_clause,[],[f3990,f3927,f3705,f9393]) ).
fof(f9393,plain,
( spl0_811
<=> ! [X2,X0,X1] :
( c_in(X0,c_List_Olists(c_Pow(X1,X2),tc_set(X2)),tc_List_Olist(tc_set(X2)))
| ~ c_lessequals(c_Main_Oin__listsI__1(c_Pow(X1,X2),X0,tc_set(X2)),X1,tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_811])]) ).
fof(f3705,plain,
( spl0_456
<=> ! [X13,X12,X1] :
( ~ c_lessequals(X12,X13,tc_set(X1))
| c_in(X12,c_Pow(X13,X1),tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_456])]) ).
fof(f3990,plain,
( ! [X2,X0,X1] :
( c_in(X0,c_List_Olists(c_Pow(X1,X2),tc_set(X2)),tc_List_Olist(tc_set(X2)))
| ~ c_lessequals(c_Main_Oin__listsI__1(c_Pow(X1,X2),X0,tc_set(X2)),X1,tc_set(X2)) )
| ~ spl0_456
| ~ spl0_486 ),
inference(resolution,[],[f3928,f3706]) ).
fof(f3706,plain,
( ! [X1,X12,X13] :
( c_in(X12,c_Pow(X13,X1),tc_set(X1))
| ~ c_lessequals(X12,X13,tc_set(X1)) )
| ~ spl0_456 ),
inference(avatar_component_clause,[],[f3705]) ).
fof(f9089,plain,
( spl0_810
| ~ spl0_497
| ~ spl0_590 ),
inference(avatar_split_clause,[],[f4849,f4831,f3971,f9087]) ).
fof(f9087,plain,
( spl0_810
<=> ! [X0] :
( ~ c_in(X0,c_Relation_Oconverse(c_Wellfounded__Relations_Oless__than,tc_nat,tc_nat),tc_prod(tc_nat,tc_nat))
| c_less(c_Main_OconverseE__1(c_Wellfounded__Relations_Oless__than,X0,tc_nat,tc_nat),c_Main_OconverseE__2(c_Wellfounded__Relations_Oless__than,X0,tc_nat,tc_nat),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_810])]) ).
fof(f4849,plain,
( ! [X0] :
( ~ c_in(X0,c_Relation_Oconverse(c_Wellfounded__Relations_Oless__than,tc_nat,tc_nat),tc_prod(tc_nat,tc_nat))
| c_less(c_Main_OconverseE__1(c_Wellfounded__Relations_Oless__than,X0,tc_nat,tc_nat),c_Main_OconverseE__2(c_Wellfounded__Relations_Oless__than,X0,tc_nat,tc_nat),tc_nat) )
| ~ spl0_497
| ~ spl0_590 ),
inference(resolution,[],[f4832,f3972]) ).
fof(f9085,plain,
( spl0_809
| ~ spl0_328
| ~ spl0_577 ),
inference(avatar_split_clause,[],[f4677,f4660,f3084,f9083]) ).
fof(f9083,plain,
( spl0_809
<=> ! [X3,X4,X0,X5,X2,X1] :
( c_in(X0,c_Relation_OImage(c_insert(c_Pair(X1,X0,X2,X3),X4,tc_prod(X2,X3)),X5,X2,X3),X3)
| ~ c_in(X1,X5,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_809])]) ).
fof(f4677,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( c_in(X0,c_Relation_OImage(c_insert(c_Pair(X1,X0,X2,X3),X4,tc_prod(X2,X3)),X5,X2,X3),X3)
| ~ c_in(X1,X5,X2) )
| ~ spl0_328
| ~ spl0_577 ),
inference(resolution,[],[f4661,f3085]) ).
fof(f9081,plain,
( spl0_808
| ~ spl0_474
| ~ spl0_559 ),
inference(avatar_split_clause,[],[f4487,f4458,f3854,f9079]) ).
fof(f9079,plain,
( spl0_808
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_lessequals(X0,X1,tc_set(X2))
| ~ c_lessequals(X3,X1,tc_set(X2))
| c_in(X4,X1,X2)
| ~ c_in(X4,c_union(X0,X3,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_808])]) ).
fof(f3854,plain,
( spl0_474
<=> ! [X4,X13,X12,X1] :
( ~ c_in(X4,X12,X1)
| c_in(X4,X13,X1)
| ~ c_lessequals(X12,X13,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_474])]) ).
fof(f4487,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_lessequals(X0,X1,tc_set(X2))
| ~ c_lessequals(X3,X1,tc_set(X2))
| c_in(X4,X1,X2)
| ~ c_in(X4,c_union(X0,X3,X2),X2) )
| ~ spl0_474
| ~ spl0_559 ),
inference(resolution,[],[f4459,f3855]) ).
fof(f3855,plain,
( ! [X1,X4,X12,X13] :
( ~ c_lessequals(X12,X13,tc_set(X1))
| c_in(X4,X13,X1)
| ~ c_in(X4,X12,X1) )
| ~ spl0_474 ),
inference(avatar_component_clause,[],[f3854]) ).
fof(f9077,plain,
( spl0_807
| ~ spl0_448
| ~ spl0_516 ),
inference(avatar_split_clause,[],[f4196,f4101,f3673,f9075]) ).
fof(f9075,plain,
( spl0_807
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_Union(c_SetInterval_OgreaterThan(X3,tc_set(X2)),X2),X2)
| ~ c_less(X3,X1,tc_set(X2))
| ~ class_Orderings_Oord(tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_807])]) ).
fof(f4196,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_Union(c_SetInterval_OgreaterThan(X3,tc_set(X2)),X2),X2)
| ~ c_less(X3,X1,tc_set(X2))
| ~ class_Orderings_Oord(tc_set(X2)) )
| ~ spl0_448
| ~ spl0_516 ),
inference(resolution,[],[f4102,f3674]) ).
fof(f9073,plain,
( spl0_806
| ~ spl0_442
| ~ spl0_516 ),
inference(avatar_split_clause,[],[f4195,f4101,f3649,f9071]) ).
fof(f9071,plain,
( spl0_806
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_Union(c_SetInterval_OatLeast(X3,tc_set(X2)),X2),X2)
| ~ c_lessequals(X3,X1,tc_set(X2))
| ~ class_Orderings_Oord(tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_806])]) ).
fof(f4195,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_Union(c_SetInterval_OatLeast(X3,tc_set(X2)),X2),X2)
| ~ c_lessequals(X3,X1,tc_set(X2))
| ~ class_Orderings_Oord(tc_set(X2)) )
| ~ spl0_442
| ~ spl0_516 ),
inference(resolution,[],[f4102,f3650]) ).
fof(f9044,plain,
( spl0_805
| ~ spl0_451
| ~ spl0_516 ),
inference(avatar_split_clause,[],[f4193,f4101,f3685,f9042]) ).
fof(f9042,plain,
( spl0_805
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_Union(c_SetInterval_OlessThan(X3,tc_set(X2)),X2),X2)
| ~ c_less(X1,X3,tc_set(X2))
| ~ class_Orderings_Oord(tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_805])]) ).
fof(f4193,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_Union(c_SetInterval_OlessThan(X3,tc_set(X2)),X2),X2)
| ~ c_less(X1,X3,tc_set(X2))
| ~ class_Orderings_Oord(tc_set(X2)) )
| ~ spl0_451
| ~ spl0_516 ),
inference(resolution,[],[f4102,f3686]) ).
fof(f9040,plain,
( spl0_804
| ~ spl0_445
| ~ spl0_516 ),
inference(avatar_split_clause,[],[f4192,f4101,f3661,f9038]) ).
fof(f9038,plain,
( spl0_804
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_Union(c_SetInterval_OatMost(X3,tc_set(X2)),X2),X2)
| ~ c_lessequals(X1,X3,tc_set(X2))
| ~ class_Orderings_Oord(tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_804])]) ).
fof(f4192,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_Union(c_SetInterval_OatMost(X3,tc_set(X2)),X2),X2)
| ~ c_lessequals(X1,X3,tc_set(X2))
| ~ class_Orderings_Oord(tc_set(X2)) )
| ~ spl0_445
| ~ spl0_516 ),
inference(resolution,[],[f4102,f3662]) ).
fof(f9036,plain,
( spl0_803
| ~ spl0_429
| ~ spl0_514 ),
inference(avatar_split_clause,[],[f4156,f4093,f3596,f9034]) ).
fof(f9034,plain,
( spl0_803
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,X1,tc_set(X2))
| c_in(c_Main_OsubsetI__1(c_Inter(X1,X2),X3,X2),X0,X2)
| c_lessequals(c_Inter(X1,X2),X3,tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_803])]) ).
fof(f4156,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,X1,tc_set(X2))
| c_in(c_Main_OsubsetI__1(c_Inter(X1,X2),X3,X2),X0,X2)
| c_lessequals(c_Inter(X1,X2),X3,tc_set(X2)) )
| ~ spl0_429
| ~ spl0_514 ),
inference(resolution,[],[f4094,f3597]) ).
fof(f9032,plain,
( spl0_802
| ~ spl0_407
| ~ spl0_489 ),
inference(avatar_split_clause,[],[f4014,f3939,f3489,f9030]) ).
fof(f9030,plain,
( spl0_802
<=> ! [X2,X0,X1] :
( ~ c_in(X0,c_Union(c_Datatype_Oo2s(X1,tc_set(X2)),X2),X2)
| c_Datatype_Ooption_OSome(c_Main_OUnionE__1(X0,c_Datatype_Oo2s(X1,tc_set(X2)),X2),tc_set(X2)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_802])]) ).
fof(f4014,plain,
( ! [X2,X0,X1] :
( ~ c_in(X0,c_Union(c_Datatype_Oo2s(X1,tc_set(X2)),X2),X2)
| c_Datatype_Ooption_OSome(c_Main_OUnionE__1(X0,c_Datatype_Oo2s(X1,tc_set(X2)),X2),tc_set(X2)) = X1 )
| ~ spl0_407
| ~ spl0_489 ),
inference(resolution,[],[f3940,f3490]) ).
fof(f9028,plain,
( spl0_801
| ~ spl0_407
| ~ spl0_488 ),
inference(avatar_split_clause,[],[f4001,f3935,f3489,f9026]) ).
fof(f9026,plain,
( spl0_801
<=> ! [X2,X0,X1] :
( c_in(X0,c_Inter(c_Datatype_Oo2s(X1,tc_set(X2)),X2),X2)
| c_Datatype_Ooption_OSome(c_Main_OInterI__1(X0,c_Datatype_Oo2s(X1,tc_set(X2)),X2),tc_set(X2)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_801])]) ).
fof(f4001,plain,
( ! [X2,X0,X1] :
( c_in(X0,c_Inter(c_Datatype_Oo2s(X1,tc_set(X2)),X2),X2)
| c_Datatype_Ooption_OSome(c_Main_OInterI__1(X0,c_Datatype_Oo2s(X1,tc_set(X2)),X2),tc_set(X2)) = X1 )
| ~ spl0_407
| ~ spl0_488 ),
inference(resolution,[],[f3936,f3490]) ).
fof(f8880,plain,
( spl0_800
| ~ spl0_650
| ~ spl0_720 ),
inference(avatar_split_clause,[],[f7044,f6797,f5667,f8878]) ).
fof(f7044,plain,
( ! [X0] : c_in(X0,c_Message_Oanalz(c_Message_Oanalz(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg))),tc_Message_Omsg)
| ~ spl0_650
| ~ spl0_720 ),
inference(resolution,[],[f6798,f5668]) ).
fof(f8657,plain,
( spl0_799
| ~ spl0_652
| ~ spl0_720 ),
inference(avatar_split_clause,[],[f7042,f6797,f5675,f8655]) ).
fof(f7042,plain,
( ! [X0] : c_in(X0,c_Message_Oparts(c_Message_Oanalz(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg))),tc_Message_Omsg)
| ~ spl0_652
| ~ spl0_720 ),
inference(resolution,[],[f6798,f5676]) ).
fof(f8429,plain,
( spl0_798
| ~ spl0_482
| ~ spl0_590 ),
inference(avatar_split_clause,[],[f4846,f4831,f3886,f8427]) ).
fof(f8427,plain,
( spl0_798
<=> ! [X0,X1] :
( ~ c_in(X0,c_Relation_Oconverse(c_Relation_OId,X1,X1),tc_prod(X1,X1))
| c_Main_OconverseE__1(c_Relation_OId,X0,X1,X1) = c_Main_OconverseE__2(c_Relation_OId,X0,X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_798])]) ).
fof(f4846,plain,
( ! [X0,X1] :
( ~ c_in(X0,c_Relation_Oconverse(c_Relation_OId,X1,X1),tc_prod(X1,X1))
| c_Main_OconverseE__1(c_Relation_OId,X0,X1,X1) = c_Main_OconverseE__2(c_Relation_OId,X0,X1,X1) )
| ~ spl0_482
| ~ spl0_590 ),
inference(resolution,[],[f4832,f3887]) ).
fof(f8425,plain,
( spl0_797
| ~ spl0_533
| ~ spl0_590 ),
inference(avatar_split_clause,[],[f4845,f4831,f4285,f8423]) ).
fof(f8423,plain,
( spl0_797
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_Oconverse(X1,X2,X3),tc_prod(X3,X2))
| c_in(c_Main_OconverseE__1(X1,X0,X2,X3),c_Relation_ODomain(X1,X2,X3),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_797])]) ).
fof(f4845,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Relation_Oconverse(X1,X2,X3),tc_prod(X3,X2))
| c_in(c_Main_OconverseE__1(X1,X0,X2,X3),c_Relation_ODomain(X1,X2,X3),X2) )
| ~ spl0_533
| ~ spl0_590 ),
inference(resolution,[],[f4832,f4286]) ).
fof(f8421,plain,
( spl0_796
| ~ spl0_536
| ~ spl0_590 ),
inference(avatar_split_clause,[],[f4844,f4831,f4297,f8419]) ).
fof(f8419,plain,
( spl0_796
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_Oconverse(X1,X2,X3),tc_prod(X3,X2))
| c_in(c_Main_OconverseE__2(X1,X0,X2,X3),c_Relation_ORange(X1,X2,X3),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_796])]) ).
fof(f4844,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Relation_Oconverse(X1,X2,X3),tc_prod(X3,X2))
| c_in(c_Main_OconverseE__2(X1,X0,X2,X3),c_Relation_ORange(X1,X2,X3),X3) )
| ~ spl0_536
| ~ spl0_590 ),
inference(resolution,[],[f4832,f4298]) ).
fof(f8417,plain,
( spl0_795
| ~ spl0_533
| ~ spl0_583 ),
inference(avatar_split_clause,[],[f4788,f4711,f4285,f8415]) ).
fof(f8415,plain,
( spl0_795
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
| c_in(X1,c_Relation_ODomain(c_Relation_Oconverse(X4,X2,X3),X3,X2),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_795])]) ).
fof(f4788,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
| c_in(X1,c_Relation_ODomain(c_Relation_Oconverse(X4,X2,X3),X3,X2),X3) )
| ~ spl0_533
| ~ spl0_583 ),
inference(resolution,[],[f4712,f4286]) ).
fof(f8413,plain,
( spl0_794
| ~ spl0_536
| ~ spl0_583 ),
inference(avatar_split_clause,[],[f4787,f4711,f4297,f8411]) ).
fof(f8411,plain,
( spl0_794
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
| c_in(X0,c_Relation_ORange(c_Relation_Oconverse(X4,X2,X3),X3,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_794])]) ).
fof(f4787,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
| c_in(X0,c_Relation_ORange(c_Relation_Oconverse(X4,X2,X3),X3,X2),X2) )
| ~ spl0_536
| ~ spl0_583 ),
inference(resolution,[],[f4712,f4298]) ).
fof(f8409,plain,
( spl0_793
| ~ spl0_650
| ~ spl0_719 ),
inference(avatar_split_clause,[],[f6988,f6615,f5667,f8407]) ).
fof(f6988,plain,
( ! [X0] : c_in(X0,c_Message_Oanalz(c_Message_Oparts(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg))),tc_Message_Omsg)
| ~ spl0_650
| ~ spl0_719 ),
inference(resolution,[],[f6616,f5668]) ).
fof(f8405,plain,
( spl0_792
| ~ spl0_533
| ~ spl0_581 ),
inference(avatar_split_clause,[],[f4758,f4702,f4285,f8403]) ).
fof(f8403,plain,
( spl0_792
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_OImage(X1,X2,X3,X4),X4)
| c_in(c_Main_OImageE__1(X2,X0,X1,X3,X4),c_Relation_ODomain(X1,X3,X4),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_792])]) ).
fof(f4758,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Relation_OImage(X1,X2,X3,X4),X4)
| c_in(c_Main_OImageE__1(X2,X0,X1,X3,X4),c_Relation_ODomain(X1,X3,X4),X3) )
| ~ spl0_533
| ~ spl0_581 ),
inference(resolution,[],[f4703,f4286]) ).
fof(f8401,plain,
( spl0_791
| ~ spl0_429
| ~ spl0_516 ),
inference(avatar_split_clause,[],[f4197,f4101,f3596,f8399]) ).
fof(f8399,plain,
( spl0_791
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,c_Main_OsubsetI__1(X1,X2,tc_set(X3)),X3)
| c_in(X0,c_Union(X1,X3),X3)
| c_lessequals(X1,X2,tc_set(tc_set(X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_791])]) ).
fof(f4197,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Main_OsubsetI__1(X1,X2,tc_set(X3)),X3)
| c_in(X0,c_Union(X1,X3),X3)
| c_lessequals(X1,X2,tc_set(tc_set(X3))) )
| ~ spl0_429
| ~ spl0_516 ),
inference(resolution,[],[f4102,f3597]) ).
fof(f8397,plain,
( spl0_790
| ~ spl0_477
| ~ spl0_516 ),
inference(avatar_split_clause,[],[f4183,f4101,f3866,f8395]) ).
fof(f8395,plain,
( spl0_790
<=> ! [X2,X0,X1] :
( ~ c_in(X0,c_Pow(X1,X2),tc_set(X2))
| c_in(X0,c_Union(c_Finite__Set_OFinites,tc_set(X2)),tc_set(X2))
| ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_790])]) ).
fof(f3866,plain,
( spl0_477
<=> ! [X12,X1] :
( ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X1))
| c_in(c_Pow(X12,X1),c_Finite__Set_OFinites,tc_set(tc_set(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_477])]) ).
fof(f4183,plain,
( ! [X2,X0,X1] :
( ~ c_in(X0,c_Pow(X1,X2),tc_set(X2))
| c_in(X0,c_Union(c_Finite__Set_OFinites,tc_set(X2)),tc_set(X2))
| ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) )
| ~ spl0_477
| ~ spl0_516 ),
inference(resolution,[],[f4102,f3867]) ).
fof(f3867,plain,
( ! [X1,X12] :
( c_in(c_Pow(X12,X1),c_Finite__Set_OFinites,tc_set(tc_set(X1)))
| ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X1)) )
| ~ spl0_477 ),
inference(avatar_component_clause,[],[f3866]) ).
fof(f8393,plain,
( spl0_789
| ~ spl0_382
| ~ spl0_489 ),
inference(avatar_split_clause,[],[f4008,f3939,f3353,f8391]) ).
fof(f8391,plain,
( spl0_789
<=> ! [X2,X0,X1] :
( ~ c_in(X0,c_Union(c_insert(X1,c_emptyset,tc_set(X2)),X2),X2)
| c_Main_OUnionE__1(X0,c_insert(X1,c_emptyset,tc_set(X2)),X2) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_789])]) ).
fof(f4008,plain,
( ! [X2,X0,X1] :
( ~ c_in(X0,c_Union(c_insert(X1,c_emptyset,tc_set(X2)),X2),X2)
| c_Main_OUnionE__1(X0,c_insert(X1,c_emptyset,tc_set(X2)),X2) = X1 )
| ~ spl0_382
| ~ spl0_489 ),
inference(resolution,[],[f3940,f3354]) ).
fof(f8389,plain,
( spl0_788
| ~ spl0_382
| ~ spl0_488 ),
inference(avatar_split_clause,[],[f3995,f3935,f3353,f8387]) ).
fof(f8387,plain,
( spl0_788
<=> ! [X2,X0,X1] :
( c_in(X0,c_Inter(c_insert(X1,c_emptyset,tc_set(X2)),X2),X2)
| c_Main_OInterI__1(X0,c_insert(X1,c_emptyset,tc_set(X2)),X2) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_788])]) ).
fof(f3995,plain,
( ! [X2,X0,X1] :
( c_in(X0,c_Inter(c_insert(X1,c_emptyset,tc_set(X2)),X2),X2)
| c_Main_OInterI__1(X0,c_insert(X1,c_emptyset,tc_set(X2)),X2) = X1 )
| ~ spl0_382
| ~ spl0_488 ),
inference(resolution,[],[f3936,f3354]) ).
fof(f8385,plain,
( spl0_787
| ~ spl0_417
| ~ spl0_486 ),
inference(avatar_split_clause,[],[f3989,f3927,f3529,f8383]) ).
fof(f8383,plain,
( spl0_787
<=> ! [X0,X3,X2,X1] :
( c_in(X0,c_List_Olists(c_insert(X1,X2,X3),X3),tc_List_Olist(X3))
| ~ c_in(c_Main_Oin__listsI__1(c_insert(X1,X2,X3),X0,X3),X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_787])]) ).
fof(f3989,plain,
( ! [X2,X3,X0,X1] :
( c_in(X0,c_List_Olists(c_insert(X1,X2,X3),X3),tc_List_Olist(X3))
| ~ c_in(c_Main_Oin__listsI__1(c_insert(X1,X2,X3),X0,X3),X2,X3) )
| ~ spl0_417
| ~ spl0_486 ),
inference(resolution,[],[f3928,f3530]) ).
fof(f8381,plain,
( spl0_786
| ~ spl0_415
| ~ spl0_486 ),
inference(avatar_split_clause,[],[f3988,f3927,f3521,f8379]) ).
fof(f8379,plain,
( spl0_786
<=> ! [X0,X3,X2,X1] :
( c_in(X0,c_List_Olists(c_union(X1,X2,X3),X3),tc_List_Olist(X3))
| ~ c_in(c_Main_Oin__listsI__1(c_union(X1,X2,X3),X0,X3),X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_786])]) ).
fof(f3988,plain,
( ! [X2,X3,X0,X1] :
( c_in(X0,c_List_Olists(c_union(X1,X2,X3),X3),tc_List_Olist(X3))
| ~ c_in(c_Main_Oin__listsI__1(c_union(X1,X2,X3),X0,X3),X2,X3) )
| ~ spl0_415
| ~ spl0_486 ),
inference(resolution,[],[f3928,f3522]) ).
fof(f8377,plain,
( spl0_785
| ~ spl0_416
| ~ spl0_486 ),
inference(avatar_split_clause,[],[f3987,f3927,f3525,f8375]) ).
fof(f8375,plain,
( spl0_785
<=> ! [X0,X3,X2,X1] :
( c_in(X0,c_List_Olists(c_union(X1,X2,X3),X3),tc_List_Olist(X3))
| ~ c_in(c_Main_Oin__listsI__1(c_union(X1,X2,X3),X0,X3),X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_785])]) ).
fof(f3987,plain,
( ! [X2,X3,X0,X1] :
( c_in(X0,c_List_Olists(c_union(X1,X2,X3),X3),tc_List_Olist(X3))
| ~ c_in(c_Main_Oin__listsI__1(c_union(X1,X2,X3),X0,X3),X1,X3) )
| ~ spl0_416
| ~ spl0_486 ),
inference(resolution,[],[f3928,f3526]) ).
fof(f8373,plain,
( spl0_784
| ~ spl0_448
| ~ spl0_486 ),
inference(avatar_split_clause,[],[f3986,f3927,f3673,f8371]) ).
fof(f8371,plain,
( spl0_784
<=> ! [X2,X0,X1] :
( c_in(X0,c_List_Olists(c_SetInterval_OgreaterThan(X1,X2),X2),tc_List_Olist(X2))
| ~ c_less(X1,c_Main_Oin__listsI__1(c_SetInterval_OgreaterThan(X1,X2),X0,X2),X2)
| ~ class_Orderings_Oord(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_784])]) ).
fof(f3986,plain,
( ! [X2,X0,X1] :
( c_in(X0,c_List_Olists(c_SetInterval_OgreaterThan(X1,X2),X2),tc_List_Olist(X2))
| ~ c_less(X1,c_Main_Oin__listsI__1(c_SetInterval_OgreaterThan(X1,X2),X0,X2),X2)
| ~ class_Orderings_Oord(X2) )
| ~ spl0_448
| ~ spl0_486 ),
inference(resolution,[],[f3928,f3674]) ).
fof(f8369,plain,
( spl0_783
| ~ spl0_442
| ~ spl0_486 ),
inference(avatar_split_clause,[],[f3985,f3927,f3649,f8367]) ).
fof(f8367,plain,
( spl0_783
<=> ! [X2,X0,X1] :
( c_in(X0,c_List_Olists(c_SetInterval_OatLeast(X1,X2),X2),tc_List_Olist(X2))
| ~ c_lessequals(X1,c_Main_Oin__listsI__1(c_SetInterval_OatLeast(X1,X2),X0,X2),X2)
| ~ class_Orderings_Oord(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_783])]) ).
fof(f3985,plain,
( ! [X2,X0,X1] :
( c_in(X0,c_List_Olists(c_SetInterval_OatLeast(X1,X2),X2),tc_List_Olist(X2))
| ~ c_lessequals(X1,c_Main_Oin__listsI__1(c_SetInterval_OatLeast(X1,X2),X0,X2),X2)
| ~ class_Orderings_Oord(X2) )
| ~ spl0_442
| ~ spl0_486 ),
inference(resolution,[],[f3928,f3650]) ).
fof(f8365,plain,
( spl0_782
| ~ spl0_652
| ~ spl0_719 ),
inference(avatar_split_clause,[],[f6986,f6615,f5675,f8363]) ).
fof(f6986,plain,
( ! [X0] : c_in(X0,c_Message_Oparts(c_Message_Oparts(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg))),tc_Message_Omsg)
| ~ spl0_652
| ~ spl0_719 ),
inference(resolution,[],[f6616,f5676]) ).
fof(f8361,plain,
( spl0_781
| ~ spl0_451
| ~ spl0_486 ),
inference(avatar_split_clause,[],[f3984,f3927,f3685,f8359]) ).
fof(f8359,plain,
( spl0_781
<=> ! [X2,X0,X1] :
( c_in(X0,c_List_Olists(c_SetInterval_OlessThan(X1,X2),X2),tc_List_Olist(X2))
| ~ c_less(c_Main_Oin__listsI__1(c_SetInterval_OlessThan(X1,X2),X0,X2),X1,X2)
| ~ class_Orderings_Oord(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_781])]) ).
fof(f3984,plain,
( ! [X2,X0,X1] :
( c_in(X0,c_List_Olists(c_SetInterval_OlessThan(X1,X2),X2),tc_List_Olist(X2))
| ~ c_less(c_Main_Oin__listsI__1(c_SetInterval_OlessThan(X1,X2),X0,X2),X1,X2)
| ~ class_Orderings_Oord(X2) )
| ~ spl0_451
| ~ spl0_486 ),
inference(resolution,[],[f3928,f3686]) ).
fof(f8357,plain,
( spl0_780
| ~ spl0_445
| ~ spl0_486 ),
inference(avatar_split_clause,[],[f3983,f3927,f3661,f8355]) ).
fof(f8355,plain,
( spl0_780
<=> ! [X2,X0,X1] :
( c_in(X0,c_List_Olists(c_SetInterval_OatMost(X1,X2),X2),tc_List_Olist(X2))
| ~ c_lessequals(c_Main_Oin__listsI__1(c_SetInterval_OatMost(X1,X2),X0,X2),X1,X2)
| ~ class_Orderings_Oord(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_780])]) ).
fof(f3983,plain,
( ! [X2,X0,X1] :
( c_in(X0,c_List_Olists(c_SetInterval_OatMost(X1,X2),X2),tc_List_Olist(X2))
| ~ c_lessequals(c_Main_Oin__listsI__1(c_SetInterval_OatMost(X1,X2),X0,X2),X1,X2)
| ~ class_Orderings_Oord(X2) )
| ~ spl0_445
| ~ spl0_486 ),
inference(resolution,[],[f3928,f3662]) ).
fof(f8353,plain,
( spl0_779
| ~ spl0_412
| ~ spl0_486 ),
inference(avatar_split_clause,[],[f3982,f3927,f3509,f8351]) ).
fof(f8351,plain,
( spl0_779
<=> ! [X2,X0,X1] :
( c_in(X0,c_List_Olists(c_uminus(X1,tc_set(X2)),X2),tc_List_Olist(X2))
| c_in(c_Main_Oin__listsI__1(c_uminus(X1,tc_set(X2)),X0,X2),X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_779])]) ).
fof(f3982,plain,
( ! [X2,X0,X1] :
( c_in(X0,c_List_Olists(c_uminus(X1,tc_set(X2)),X2),tc_List_Olist(X2))
| c_in(c_Main_Oin__listsI__1(c_uminus(X1,tc_set(X2)),X0,X2),X1,X2) )
| ~ spl0_412
| ~ spl0_486 ),
inference(resolution,[],[f3928,f3510]) ).
fof(f8349,plain,
( spl0_778
| ~ spl0_429
| ~ spl0_454 ),
inference(avatar_split_clause,[],[f3813,f3697,f3596,f8347]) ).
fof(f8347,plain,
( spl0_778
<=> ! [X0,X3,X2,X1] :
( c_in(c_Main_OsubsetI__1(c_minus(X0,X1,tc_set(X2)),X3,X2),X0,X2)
| c_lessequals(c_minus(X0,X1,tc_set(X2)),X3,tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_778])]) ).
fof(f3813,plain,
( ! [X2,X3,X0,X1] :
( c_in(c_Main_OsubsetI__1(c_minus(X0,X1,tc_set(X2)),X3,X2),X0,X2)
| c_lessequals(c_minus(X0,X1,tc_set(X2)),X3,tc_set(X2)) )
| ~ spl0_429
| ~ spl0_454 ),
inference(resolution,[],[f3698,f3597]) ).
fof(f8345,plain,
( spl0_777
| ~ spl0_429
| ~ spl0_453 ),
inference(avatar_split_clause,[],[f3812,f3693,f3596,f8343]) ).
fof(f8343,plain,
( spl0_777
<=> ! [X0,X3,X2,X1] :
( ~ c_in(c_Main_OsubsetI__1(c_minus(X0,X1,tc_set(X2)),X3,X2),X1,X2)
| c_lessequals(c_minus(X0,X1,tc_set(X2)),X3,tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_777])]) ).
fof(f3812,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(c_minus(X0,X1,tc_set(X2)),X3,X2),X1,X2)
| c_lessequals(c_minus(X0,X1,tc_set(X2)),X3,tc_set(X2)) )
| ~ spl0_429
| ~ spl0_453 ),
inference(resolution,[],[f3694,f3597]) ).
fof(f7760,plain,
( spl0_776
| ~ spl0_533
| ~ spl0_578 ),
inference(avatar_split_clause,[],[f4692,f4664,f4285,f7758]) ).
fof(f7758,plain,
( spl0_776
<=> ! [X0,X3,X2,X1] :
( ~ c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2))
| c_in(X0,c_Relation_ODomain(c_Transitive__Closure_Otrancl(X3,X2),X2,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_776])]) ).
fof(f4692,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2))
| c_in(X0,c_Relation_ODomain(c_Transitive__Closure_Otrancl(X3,X2),X2,X2),X2) )
| ~ spl0_533
| ~ spl0_578 ),
inference(resolution,[],[f4665,f4286]) ).
fof(f7756,plain,
( spl0_775
| ~ spl0_536
| ~ spl0_578 ),
inference(avatar_split_clause,[],[f4691,f4664,f4297,f7754]) ).
fof(f7754,plain,
( spl0_775
<=> ! [X0,X3,X2,X1] :
( ~ c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2))
| c_in(X1,c_Relation_ORange(c_Transitive__Closure_Otrancl(X3,X2),X2,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_775])]) ).
fof(f4691,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2))
| c_in(X1,c_Relation_ORange(c_Transitive__Closure_Otrancl(X3,X2),X2,X2),X2) )
| ~ spl0_536
| ~ spl0_578 ),
inference(resolution,[],[f4665,f4298]) ).
fof(f7752,plain,
( spl0_774
| ~ spl0_424
| ~ spl0_548 ),
inference(avatar_split_clause,[],[f4419,f4346,f3557,f7750]) ).
fof(f7750,plain,
( spl0_774
<=> ! [X2,X0,X1] :
( ~ c_in(X0,c_Message_Osynth(c_Message_Osynth(X1)),tc_Message_Omsg)
| ~ c_in(X2,c_Message_Osynth(c_Message_Osynth(X1)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(X0,X2),c_Message_Osynth(X1),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_774])]) ).
fof(f3557,plain,
( spl0_424
<=> ! [X53,X55] :
( c_in(X53,c_Message_Osynth(X55),tc_Message_Omsg)
| ~ c_in(X53,c_Message_Osynth(c_Message_Osynth(X55)),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_424])]) ).
fof(f4346,plain,
( spl0_548
<=> ! [X53,X55,X56] :
( ~ c_in(X56,c_Message_Osynth(X55),tc_Message_Omsg)
| ~ c_in(X53,c_Message_Osynth(X55),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(X53,X56),c_Message_Osynth(X55),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_548])]) ).
fof(f4419,plain,
( ! [X2,X0,X1] :
( ~ c_in(X0,c_Message_Osynth(c_Message_Osynth(X1)),tc_Message_Omsg)
| ~ c_in(X2,c_Message_Osynth(c_Message_Osynth(X1)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(X0,X2),c_Message_Osynth(X1),tc_Message_Omsg) )
| ~ spl0_424
| ~ spl0_548 ),
inference(resolution,[],[f4347,f3558]) ).
fof(f3558,plain,
( ! [X55,X53] :
( ~ c_in(X53,c_Message_Osynth(c_Message_Osynth(X55)),tc_Message_Omsg)
| c_in(X53,c_Message_Osynth(X55),tc_Message_Omsg) )
| ~ spl0_424 ),
inference(avatar_component_clause,[],[f3557]) ).
fof(f4347,plain,
( ! [X56,X55,X53] :
( c_in(c_Message_Omsg_OMPair(X53,X56),c_Message_Osynth(X55),tc_Message_Omsg)
| ~ c_in(X53,c_Message_Osynth(X55),tc_Message_Omsg)
| ~ c_in(X56,c_Message_Osynth(X55),tc_Message_Omsg) )
| ~ spl0_548 ),
inference(avatar_component_clause,[],[f4346]) ).
fof(f7748,plain,
( spl0_773
| ~ spl0_424
| ~ spl0_547 ),
inference(avatar_split_clause,[],[f4418,f4342,f3557,f7746]) ).
fof(f7746,plain,
( spl0_773
<=> ! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OKey(X0),c_Message_Osynth(X1),tc_Message_Omsg)
| ~ c_in(X2,c_Message_Osynth(c_Message_Osynth(X1)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X0,X2),c_Message_Osynth(X1),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_773])]) ).
fof(f4342,plain,
( spl0_547
<=> ! [X54,X53,X55] :
( ~ c_in(X53,c_Message_Osynth(X55),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(X54),X55,tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X54,X53),c_Message_Osynth(X55),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_547])]) ).
fof(f4418,plain,
( ! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OKey(X0),c_Message_Osynth(X1),tc_Message_Omsg)
| ~ c_in(X2,c_Message_Osynth(c_Message_Osynth(X1)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X0,X2),c_Message_Osynth(X1),tc_Message_Omsg) )
| ~ spl0_424
| ~ spl0_547 ),
inference(resolution,[],[f4343,f3558]) ).
fof(f4343,plain,
( ! [X54,X55,X53] :
( c_in(c_Message_Omsg_OCrypt(X54,X53),c_Message_Osynth(X55),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(X54),X55,tc_Message_Omsg)
| ~ c_in(X53,c_Message_Osynth(X55),tc_Message_Omsg) )
| ~ spl0_547 ),
inference(avatar_component_clause,[],[f4342]) ).
fof(f7744,plain,
( spl0_772
| ~ spl0_343
| ~ spl0_536 ),
inference(avatar_split_clause,[],[f4385,f4297,f3160,f7742]) ).
fof(f7742,plain,
( spl0_772
<=> ! [X0,X3,X2,X1] : c_in(X0,c_Relation_ORange(c_Datatype_Oo2s(c_Datatype_Ooption_OSome(c_Pair(X1,X0,X2,X3),tc_prod(X2,X3)),tc_prod(X2,X3)),X2,X3),X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_772])]) ).
fof(f4385,plain,
( ! [X2,X3,X0,X1] : c_in(X0,c_Relation_ORange(c_Datatype_Oo2s(c_Datatype_Ooption_OSome(c_Pair(X1,X0,X2,X3),tc_prod(X2,X3)),tc_prod(X2,X3)),X2,X3),X3)
| ~ spl0_343
| ~ spl0_536 ),
inference(resolution,[],[f4298,f3161]) ).
fof(f7740,plain,
( spl0_771
| ~ spl0_343
| ~ spl0_533 ),
inference(avatar_split_clause,[],[f4358,f4285,f3160,f7738]) ).
fof(f7738,plain,
( spl0_771
<=> ! [X0,X3,X2,X1] : c_in(X0,c_Relation_ODomain(c_Datatype_Oo2s(c_Datatype_Ooption_OSome(c_Pair(X0,X1,X2,X3),tc_prod(X2,X3)),tc_prod(X2,X3)),X2,X3),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_771])]) ).
fof(f4358,plain,
( ! [X2,X3,X0,X1] : c_in(X0,c_Relation_ODomain(c_Datatype_Oo2s(c_Datatype_Ooption_OSome(c_Pair(X0,X1,X2,X3),tc_prod(X2,X3)),tc_prod(X2,X3)),X2,X3),X2)
| ~ spl0_343
| ~ spl0_533 ),
inference(resolution,[],[f4286,f3161]) ).
fof(f7736,plain,
( spl0_770
| ~ spl0_474
| ~ spl0_528 ),
inference(avatar_split_clause,[],[f4266,f4240,f3854,f7734]) ).
fof(f7734,plain,
( spl0_770
<=> ! [X0,X3,X2,X1] :
( ~ c_lessequals(X0,X1,tc_set(X2))
| c_in(X3,c_uminus(X0,tc_set(X2)),X2)
| ~ c_in(X3,c_uminus(X1,tc_set(X2)),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_770])]) ).
fof(f4266,plain,
( ! [X2,X3,X0,X1] :
( ~ c_lessequals(X0,X1,tc_set(X2))
| c_in(X3,c_uminus(X0,tc_set(X2)),X2)
| ~ c_in(X3,c_uminus(X1,tc_set(X2)),X2) )
| ~ spl0_474
| ~ spl0_528 ),
inference(resolution,[],[f4241,f3855]) ).
fof(f7732,plain,
( spl0_769
| ~ spl0_417
| ~ spl0_516 ),
inference(avatar_split_clause,[],[f4200,f4101,f3529,f7730]) ).
fof(f7730,plain,
( spl0_769
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_Union(c_insert(X3,X4,tc_set(X2)),X2),X2)
| ~ c_in(X1,X4,tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_769])]) ).
fof(f4200,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_Union(c_insert(X3,X4,tc_set(X2)),X2),X2)
| ~ c_in(X1,X4,tc_set(X2)) )
| ~ spl0_417
| ~ spl0_516 ),
inference(resolution,[],[f4102,f3530]) ).
fof(f7728,plain,
( spl0_768
| ~ spl0_415
| ~ spl0_516 ),
inference(avatar_split_clause,[],[f4199,f4101,f3521,f7726]) ).
fof(f7726,plain,
( spl0_768
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_Union(c_union(X3,X4,tc_set(X2)),X2),X2)
| ~ c_in(X1,X4,tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_768])]) ).
fof(f4199,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_Union(c_union(X3,X4,tc_set(X2)),X2),X2)
| ~ c_in(X1,X4,tc_set(X2)) )
| ~ spl0_415
| ~ spl0_516 ),
inference(resolution,[],[f4102,f3522]) ).
fof(f7724,plain,
( spl0_767
| ~ spl0_416
| ~ spl0_516 ),
inference(avatar_split_clause,[],[f4198,f4101,f3525,f7722]) ).
fof(f7722,plain,
( spl0_767
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_Union(c_union(X3,X4,tc_set(X2)),X2),X2)
| ~ c_in(X1,X3,tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_767])]) ).
fof(f4198,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_Union(c_union(X3,X4,tc_set(X2)),X2),X2)
| ~ c_in(X1,X3,tc_set(X2)) )
| ~ spl0_416
| ~ spl0_516 ),
inference(resolution,[],[f4102,f3526]) ).
fof(f7714,plain,
( spl0_766
| ~ spl0_412
| ~ spl0_516 ),
inference(avatar_split_clause,[],[f4191,f4101,f3509,f7712]) ).
fof(f4191,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_Union(c_uminus(X3,tc_set(tc_set(X2))),X2),X2)
| c_in(X1,X3,tc_set(X2)) )
| ~ spl0_412
| ~ spl0_516 ),
inference(resolution,[],[f4102,f3510]) ).
fof(f7710,plain,
( spl0_765
| ~ spl0_489
| ~ spl0_516 ),
inference(avatar_split_clause,[],[f4186,f4101,f3939,f7708]) ).
fof(f7708,plain,
( spl0_765
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,c_Main_OUnionE__1(X1,X2,X3),X3)
| c_in(X0,c_Union(X2,X3),X3)
| ~ c_in(X1,c_Union(X2,X3),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_765])]) ).
fof(f4186,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Main_OUnionE__1(X1,X2,X3),X3)
| c_in(X0,c_Union(X2,X3),X3)
| ~ c_in(X1,c_Union(X2,X3),X3) )
| ~ spl0_489
| ~ spl0_516 ),
inference(resolution,[],[f4102,f3940]) ).
fof(f7706,plain,
( spl0_764
| ~ spl0_488
| ~ spl0_516 ),
inference(avatar_split_clause,[],[f4185,f4101,f3935,f7704]) ).
fof(f7704,plain,
( spl0_764
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,c_Main_OInterI__1(X1,X2,X3),X3)
| c_in(X0,c_Union(X2,X3),X3)
| c_in(X1,c_Inter(X2,X3),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_764])]) ).
fof(f4185,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Main_OInterI__1(X1,X2,X3),X3)
| c_in(X0,c_Union(X2,X3),X3)
| c_in(X1,c_Inter(X2,X3),X3) )
| ~ spl0_488
| ~ spl0_516 ),
inference(resolution,[],[f4102,f3936]) ).
fof(f7702,plain,
( spl0_763
| ~ spl0_430
| ~ spl0_456 ),
inference(avatar_split_clause,[],[f3816,f3705,f3600,f7700]) ).
fof(f3816,plain,
( ! [X2,X0,X1] :
( ~ c_lessequals(c_Main_OsubsetI__1(X0,c_Pow(X1,X2),tc_set(X2)),X1,tc_set(X2))
| c_lessequals(X0,c_Pow(X1,X2),tc_set(tc_set(X2))) )
| ~ spl0_430
| ~ spl0_456 ),
inference(resolution,[],[f3706,f3601]) ).
fof(f7698,plain,
( spl0_762
| ~ spl0_429
| ~ spl0_455 ),
inference(avatar_split_clause,[],[f3814,f3701,f3596,f7696]) ).
fof(f7696,plain,
( spl0_762
<=> ! [X2,X0,X1] :
( c_lessequals(c_Main_OsubsetI__1(c_Pow(X0,X1),X2,tc_set(X1)),X0,tc_set(X1))
| c_lessequals(c_Pow(X0,X1),X2,tc_set(tc_set(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_762])]) ).
fof(f3814,plain,
( ! [X2,X0,X1] :
( c_lessequals(c_Main_OsubsetI__1(c_Pow(X0,X1),X2,tc_set(X1)),X0,tc_set(X1))
| c_lessequals(c_Pow(X0,X1),X2,tc_set(tc_set(X1))) )
| ~ spl0_429
| ~ spl0_455 ),
inference(resolution,[],[f3702,f3597]) ).
fof(f7638,plain,
( spl0_761
| ~ spl0_678
| ~ spl0_690 ),
inference(avatar_split_clause,[],[f6447,f6209,f6109,f7636]) ).
fof(f7636,plain,
( spl0_761
<=> ! [X0] : c_lessequals(X0,c_Message_Oparts(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_761])]) ).
fof(f6447,plain,
( ! [X0] : c_lessequals(X0,c_Message_Oparts(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ spl0_678
| ~ spl0_690 ),
inference(resolution,[],[f6110,f6210]) ).
fof(f7524,plain,
( spl0_760
| ~ spl0_678
| ~ spl0_689 ),
inference(avatar_split_clause,[],[f6446,f6205,f6109,f7522]) ).
fof(f7522,plain,
( spl0_760
<=> ! [X0] : c_lessequals(X0,c_Message_Oanalz(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_760])]) ).
fof(f6446,plain,
( ! [X0] : c_lessequals(X0,c_Message_Oanalz(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ spl0_678
| ~ spl0_689 ),
inference(resolution,[],[f6110,f6206]) ).
fof(f7165,plain,
( spl0_759
| ~ spl0_678
| ~ spl0_688 ),
inference(avatar_split_clause,[],[f6445,f6201,f6109,f7163]) ).
fof(f7163,plain,
( spl0_759
<=> ! [X0] : c_lessequals(X0,c_Message_Osynth(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_759])]) ).
fof(f6445,plain,
( ! [X0] : c_lessequals(X0,c_Message_Osynth(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ spl0_678
| ~ spl0_688 ),
inference(resolution,[],[f6110,f6202]) ).
fof(f7081,plain,
( spl0_758
| ~ spl0_520
| ~ spl0_577 ),
inference(avatar_split_clause,[],[f4669,f4660,f4207,f7079]) ).
fof(f7079,plain,
( spl0_758
<=> ! [X0,X3,X2,X1] :
( c_in(X0,c_Relation_OImage(c_Relation_Odiag(X1,X2),X3,X2,X2),X2)
| ~ c_in(X0,X3,X2)
| ~ c_in(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_758])]) ).
fof(f4669,plain,
( ! [X2,X3,X0,X1] :
( c_in(X0,c_Relation_OImage(c_Relation_Odiag(X1,X2),X3,X2,X2),X2)
| ~ c_in(X0,X3,X2)
| ~ c_in(X0,X1,X2) )
| ~ spl0_520
| ~ spl0_577 ),
inference(resolution,[],[f4661,f4208]) ).
fof(f7077,plain,
( spl0_757
| ~ spl0_533
| ~ spl0_570 ),
inference(avatar_split_clause,[],[f4618,f4557,f4285,f7075]) ).
fof(f7075,plain,
( spl0_757
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_ORange(X1,X2,X3),X3)
| c_in(c_Main_ORangeE__1(X0,X1,X3,X2),c_Relation_ODomain(X1,X2,X3),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_757])]) ).
fof(f4618,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Relation_ORange(X1,X2,X3),X3)
| c_in(c_Main_ORangeE__1(X0,X1,X3,X2),c_Relation_ODomain(X1,X2,X3),X2) )
| ~ spl0_533
| ~ spl0_570 ),
inference(resolution,[],[f4558,f4286]) ).
fof(f7073,plain,
( spl0_756
| ~ spl0_536
| ~ spl0_569 ),
inference(avatar_split_clause,[],[f4592,f4553,f4297,f7071]) ).
fof(f7071,plain,
( spl0_756
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_ODomain(X1,X2,X3),X2)
| c_in(c_Main_ODomainE__1(X0,X1,X2,X3),c_Relation_ORange(X1,X2,X3),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_756])]) ).
fof(f4592,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Relation_ODomain(X1,X2,X3),X2)
| c_in(c_Main_ODomainE__1(X0,X1,X2,X3),c_Relation_ORange(X1,X2,X3),X3) )
| ~ spl0_536
| ~ spl0_569 ),
inference(resolution,[],[f4554,f4298]) ).
fof(f7069,plain,
( spl0_755
| ~ spl0_377
| ~ spl0_563 ),
inference(avatar_split_clause,[],[f4510,f4505,f3317,f7067]) ).
fof(f7067,plain,
( spl0_755
<=> ! [X2,X0,X1] :
( c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X2,X0),c_Message_Oanalz(X1),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X2)),X1,tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_755])]) ).
fof(f4510,plain,
( ! [X2,X0,X1] :
( c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X2,X0),c_Message_Oanalz(X1),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X2)),X1,tc_Message_Omsg) )
| ~ spl0_377
| ~ spl0_563 ),
inference(resolution,[],[f4506,f3318]) ).
fof(f7065,plain,
( spl0_754
| ~ spl0_469
| ~ spl0_516 ),
inference(avatar_split_clause,[],[f4171,f4101,f3834,f7063]) ).
fof(f7063,plain,
( spl0_754
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,c_inter(X1,X2,X3),X3)
| c_in(X0,c_Union(c_Finite__Set_OFinites,X3),X3)
| ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_754])]) ).
fof(f3834,plain,
( spl0_469
<=> ! [X20,X1,X19] :
( ~ c_in(X19,c_Finite__Set_OFinites,tc_set(X1))
| c_in(c_inter(X19,X20,X1),c_Finite__Set_OFinites,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_469])]) ).
fof(f4171,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,c_inter(X1,X2,X3),X3)
| c_in(X0,c_Union(c_Finite__Set_OFinites,X3),X3)
| ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X3)) )
| ~ spl0_469
| ~ spl0_516 ),
inference(resolution,[],[f4102,f3835]) ).
fof(f3835,plain,
( ! [X1,X19,X20] :
( c_in(c_inter(X19,X20,X1),c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(X19,c_Finite__Set_OFinites,tc_set(X1)) )
| ~ spl0_469 ),
inference(avatar_component_clause,[],[f3834]) ).
fof(f7061,plain,
( spl0_753
| ~ spl0_470
| ~ spl0_516 ),
inference(avatar_split_clause,[],[f4170,f4101,f3838,f7059]) ).
fof(f7059,plain,
( spl0_753
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,c_inter(X1,X2,X3),X3)
| c_in(X0,c_Union(c_Finite__Set_OFinites,X3),X3)
| ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_753])]) ).
fof(f3838,plain,
( spl0_470
<=> ! [X20,X1,X19] :
( ~ c_in(X20,c_Finite__Set_OFinites,tc_set(X1))
| c_in(c_inter(X19,X20,X1),c_Finite__Set_OFinites,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_470])]) ).
fof(f4170,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,c_inter(X1,X2,X3),X3)
| c_in(X0,c_Union(c_Finite__Set_OFinites,X3),X3)
| ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X3)) )
| ~ spl0_470
| ~ spl0_516 ),
inference(resolution,[],[f4102,f3839]) ).
fof(f3839,plain,
( ! [X1,X19,X20] :
( c_in(c_inter(X19,X20,X1),c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(X20,c_Finite__Set_OFinites,tc_set(X1)) )
| ~ spl0_470 ),
inference(avatar_component_clause,[],[f3838]) ).
fof(f7057,plain,
( spl0_752
| ~ spl0_468
| ~ spl0_516 ),
inference(avatar_split_clause,[],[f4169,f4101,f3830,f7055]) ).
fof(f7055,plain,
( spl0_752
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,c_insert(X1,X2,X3),X3)
| c_in(X0,c_Union(c_Finite__Set_OFinites,X3),X3)
| ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_752])]) ).
fof(f3830,plain,
( spl0_468
<=> ! [X12,X1,X18] :
( ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X1))
| c_in(c_insert(X18,X12,X1),c_Finite__Set_OFinites,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_468])]) ).
fof(f4169,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,c_insert(X1,X2,X3),X3)
| c_in(X0,c_Union(c_Finite__Set_OFinites,X3),X3)
| ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X3)) )
| ~ spl0_468
| ~ spl0_516 ),
inference(resolution,[],[f4102,f3831]) ).
fof(f3831,plain,
( ! [X18,X1,X12] :
( c_in(c_insert(X18,X12,X1),c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X1)) )
| ~ spl0_468 ),
inference(avatar_component_clause,[],[f3830]) ).
fof(f7053,plain,
( spl0_751
| ~ spl0_474
| ~ spl0_512 ),
inference(avatar_split_clause,[],[f4148,f4085,f3854,f7051]) ).
fof(f7051,plain,
( spl0_751
<=> ! [X0,X3,X2,X1] :
( ~ c_lessequals(X0,X1,X2)
| ~ class_Orderings_Olinorder(X2)
| c_in(X3,c_SetInterval_OlessThan(X1,X2),X2)
| ~ c_in(X3,c_SetInterval_OlessThan(X0,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_751])]) ).
fof(f4148,plain,
( ! [X2,X3,X0,X1] :
( ~ c_lessequals(X0,X1,X2)
| ~ class_Orderings_Olinorder(X2)
| c_in(X3,c_SetInterval_OlessThan(X1,X2),X2)
| ~ c_in(X3,c_SetInterval_OlessThan(X0,X2),X2) )
| ~ spl0_474
| ~ spl0_512 ),
inference(resolution,[],[f4086,f3855]) ).
fof(f7049,plain,
( spl0_750
| ~ spl0_474
| ~ spl0_510 ),
inference(avatar_split_clause,[],[f4138,f4077,f3854,f7047]) ).
fof(f7047,plain,
( spl0_750
<=> ! [X0,X3,X2,X1] :
( ~ c_lessequals(X0,X1,X2)
| ~ class_Orderings_Olinorder(X2)
| c_in(X3,c_SetInterval_OgreaterThan(X0,X2),X2)
| ~ c_in(X3,c_SetInterval_OgreaterThan(X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_750])]) ).
fof(f4138,plain,
( ! [X2,X3,X0,X1] :
( ~ c_lessequals(X0,X1,X2)
| ~ class_Orderings_Olinorder(X2)
| c_in(X3,c_SetInterval_OgreaterThan(X0,X2),X2)
| ~ c_in(X3,c_SetInterval_OgreaterThan(X1,X2),X2) )
| ~ spl0_474
| ~ spl0_510 ),
inference(resolution,[],[f4078,f3855]) ).
fof(f7029,plain,
( spl0_749
| ~ spl0_474
| ~ spl0_507 ),
inference(avatar_split_clause,[],[f4131,f4065,f3854,f7027]) ).
fof(f7027,plain,
( spl0_749
<=> ! [X0,X3,X2,X1] :
( ~ c_lessequals(X0,X1,X2)
| ~ class_Orderings_Oorder(X2)
| c_in(X3,c_SetInterval_OatMost(X1,X2),X2)
| ~ c_in(X3,c_SetInterval_OatMost(X0,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_749])]) ).
fof(f4131,plain,
( ! [X2,X3,X0,X1] :
( ~ c_lessequals(X0,X1,X2)
| ~ class_Orderings_Oorder(X2)
| c_in(X3,c_SetInterval_OatMost(X1,X2),X2)
| ~ c_in(X3,c_SetInterval_OatMost(X0,X2),X2) )
| ~ spl0_474
| ~ spl0_507 ),
inference(resolution,[],[f4066,f3855]) ).
fof(f7025,plain,
( spl0_748
| ~ spl0_474
| ~ spl0_505 ),
inference(avatar_split_clause,[],[f4124,f4057,f3854,f7023]) ).
fof(f7023,plain,
( spl0_748
<=> ! [X0,X3,X2,X1] :
( ~ c_lessequals(X0,X1,X2)
| ~ class_Orderings_Oorder(X2)
| c_in(X3,c_SetInterval_OatLeast(X0,X2),X2)
| ~ c_in(X3,c_SetInterval_OatLeast(X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_748])]) ).
fof(f4124,plain,
( ! [X2,X3,X0,X1] :
( ~ c_lessequals(X0,X1,X2)
| ~ class_Orderings_Oorder(X2)
| c_in(X3,c_SetInterval_OatLeast(X0,X2),X2)
| ~ c_in(X3,c_SetInterval_OatLeast(X1,X2),X2) )
| ~ spl0_474
| ~ spl0_505 ),
inference(resolution,[],[f4058,f3855]) ).
fof(f7021,plain,
( spl0_747
| ~ spl0_455
| ~ spl0_489 ),
inference(avatar_split_clause,[],[f4017,f3939,f3701,f7019]) ).
fof(f7019,plain,
( spl0_747
<=> ! [X2,X0,X1] :
( ~ c_in(X0,c_Union(c_Pow(X1,X2),X2),X2)
| c_lessequals(c_Main_OUnionE__1(X0,c_Pow(X1,X2),X2),X1,tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_747])]) ).
fof(f4017,plain,
( ! [X2,X0,X1] :
( ~ c_in(X0,c_Union(c_Pow(X1,X2),X2),X2)
| c_lessequals(c_Main_OUnionE__1(X0,c_Pow(X1,X2),X2),X1,tc_set(X2)) )
| ~ spl0_455
| ~ spl0_489 ),
inference(resolution,[],[f3940,f3702]) ).
fof(f7017,plain,
( spl0_746
| ~ spl0_455
| ~ spl0_488 ),
inference(avatar_split_clause,[],[f4004,f3935,f3701,f7015]) ).
fof(f7015,plain,
( spl0_746
<=> ! [X2,X0,X1] :
( c_in(X0,c_Inter(c_Pow(X1,X2),X2),X2)
| c_lessequals(c_Main_OInterI__1(X0,c_Pow(X1,X2),X2),X1,tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_746])]) ).
fof(f4004,plain,
( ! [X2,X0,X1] :
( c_in(X0,c_Inter(c_Pow(X1,X2),X2),X2)
| c_lessequals(c_Main_OInterI__1(X0,c_Pow(X1,X2),X2),X1,tc_set(X2)) )
| ~ spl0_455
| ~ spl0_488 ),
inference(resolution,[],[f3936,f3702]) ).
fof(f7013,plain,
( spl0_745
| ~ spl0_430
| ~ spl0_451 ),
inference(avatar_split_clause,[],[f3809,f3685,f3600,f7011]) ).
fof(f7011,plain,
( spl0_745
<=> ! [X2,X0,X1] :
( ~ c_less(c_Main_OsubsetI__1(X0,c_SetInterval_OlessThan(X1,X2),X2),X1,X2)
| ~ class_Orderings_Oord(X2)
| c_lessequals(X0,c_SetInterval_OlessThan(X1,X2),tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_745])]) ).
fof(f3809,plain,
( ! [X2,X0,X1] :
( ~ c_less(c_Main_OsubsetI__1(X0,c_SetInterval_OlessThan(X1,X2),X2),X1,X2)
| ~ class_Orderings_Oord(X2)
| c_lessequals(X0,c_SetInterval_OlessThan(X1,X2),tc_set(X2)) )
| ~ spl0_430
| ~ spl0_451 ),
inference(resolution,[],[f3686,f3601]) ).
fof(f7009,plain,
( spl0_744
| ~ spl0_429
| ~ spl0_450 ),
inference(avatar_split_clause,[],[f3805,f3681,f3596,f7007]) ).
fof(f7007,plain,
( spl0_744
<=> ! [X2,X0,X1] :
( c_less(c_Main_OsubsetI__1(c_SetInterval_OlessThan(X0,X1),X2,X1),X0,X1)
| ~ class_Orderings_Oord(X1)
| c_lessequals(c_SetInterval_OlessThan(X0,X1),X2,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_744])]) ).
fof(f3805,plain,
( ! [X2,X0,X1] :
( c_less(c_Main_OsubsetI__1(c_SetInterval_OlessThan(X0,X1),X2,X1),X0,X1)
| ~ class_Orderings_Oord(X1)
| c_lessequals(c_SetInterval_OlessThan(X0,X1),X2,tc_set(X1)) )
| ~ spl0_429
| ~ spl0_450 ),
inference(resolution,[],[f3682,f3597]) ).
fof(f7005,plain,
( spl0_743
| ~ spl0_430
| ~ spl0_448 ),
inference(avatar_split_clause,[],[f3802,f3673,f3600,f7003]) ).
fof(f7003,plain,
( spl0_743
<=> ! [X2,X0,X1] :
( ~ c_less(X0,c_Main_OsubsetI__1(X1,c_SetInterval_OgreaterThan(X0,X2),X2),X2)
| ~ class_Orderings_Oord(X2)
| c_lessequals(X1,c_SetInterval_OgreaterThan(X0,X2),tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_743])]) ).
fof(f3802,plain,
( ! [X2,X0,X1] :
( ~ c_less(X0,c_Main_OsubsetI__1(X1,c_SetInterval_OgreaterThan(X0,X2),X2),X2)
| ~ class_Orderings_Oord(X2)
| c_lessequals(X1,c_SetInterval_OgreaterThan(X0,X2),tc_set(X2)) )
| ~ spl0_430
| ~ spl0_448 ),
inference(resolution,[],[f3674,f3601]) ).
fof(f7001,plain,
( spl0_742
| ~ spl0_429
| ~ spl0_447 ),
inference(avatar_split_clause,[],[f3800,f3669,f3596,f6999]) ).
fof(f6999,plain,
( spl0_742
<=> ! [X2,X0,X1] :
( c_less(X0,c_Main_OsubsetI__1(c_SetInterval_OgreaterThan(X0,X1),X2,X1),X1)
| ~ class_Orderings_Oord(X1)
| c_lessequals(c_SetInterval_OgreaterThan(X0,X1),X2,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_742])]) ).
fof(f3800,plain,
( ! [X2,X0,X1] :
( c_less(X0,c_Main_OsubsetI__1(c_SetInterval_OgreaterThan(X0,X1),X2,X1),X1)
| ~ class_Orderings_Oord(X1)
| c_lessequals(c_SetInterval_OgreaterThan(X0,X1),X2,tc_set(X1)) )
| ~ spl0_429
| ~ spl0_447 ),
inference(resolution,[],[f3670,f3597]) ).
fof(f6997,plain,
( spl0_741
| ~ spl0_430
| ~ spl0_445 ),
inference(avatar_split_clause,[],[f3797,f3661,f3600,f6995]) ).
fof(f6995,plain,
( spl0_741
<=> ! [X2,X0,X1] :
( ~ c_lessequals(c_Main_OsubsetI__1(X0,c_SetInterval_OatMost(X1,X2),X2),X1,X2)
| ~ class_Orderings_Oord(X2)
| c_lessequals(X0,c_SetInterval_OatMost(X1,X2),tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_741])]) ).
fof(f3797,plain,
( ! [X2,X0,X1] :
( ~ c_lessequals(c_Main_OsubsetI__1(X0,c_SetInterval_OatMost(X1,X2),X2),X1,X2)
| ~ class_Orderings_Oord(X2)
| c_lessequals(X0,c_SetInterval_OatMost(X1,X2),tc_set(X2)) )
| ~ spl0_430
| ~ spl0_445 ),
inference(resolution,[],[f3662,f3601]) ).
fof(f6993,plain,
( spl0_740
| ~ spl0_429
| ~ spl0_444 ),
inference(avatar_split_clause,[],[f3795,f3657,f3596,f6991]) ).
fof(f6991,plain,
( spl0_740
<=> ! [X2,X0,X1] :
( c_lessequals(c_Main_OsubsetI__1(c_SetInterval_OatMost(X0,X1),X2,X1),X0,X1)
| ~ class_Orderings_Oord(X1)
| c_lessequals(c_SetInterval_OatMost(X0,X1),X2,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_740])]) ).
fof(f3795,plain,
( ! [X2,X0,X1] :
( c_lessequals(c_Main_OsubsetI__1(c_SetInterval_OatMost(X0,X1),X2,X1),X0,X1)
| ~ class_Orderings_Oord(X1)
| c_lessequals(c_SetInterval_OatMost(X0,X1),X2,tc_set(X1)) )
| ~ spl0_429
| ~ spl0_444 ),
inference(resolution,[],[f3658,f3597]) ).
fof(f6974,plain,
( spl0_739
| ~ spl0_430
| ~ spl0_442 ),
inference(avatar_split_clause,[],[f3792,f3649,f3600,f6972]) ).
fof(f6972,plain,
( spl0_739
<=> ! [X2,X0,X1] :
( ~ c_lessequals(X0,c_Main_OsubsetI__1(X1,c_SetInterval_OatLeast(X0,X2),X2),X2)
| ~ class_Orderings_Oord(X2)
| c_lessequals(X1,c_SetInterval_OatLeast(X0,X2),tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_739])]) ).
fof(f3792,plain,
( ! [X2,X0,X1] :
( ~ c_lessequals(X0,c_Main_OsubsetI__1(X1,c_SetInterval_OatLeast(X0,X2),X2),X2)
| ~ class_Orderings_Oord(X2)
| c_lessequals(X1,c_SetInterval_OatLeast(X0,X2),tc_set(X2)) )
| ~ spl0_430
| ~ spl0_442 ),
inference(resolution,[],[f3650,f3601]) ).
fof(f6970,plain,
( spl0_738
| ~ spl0_429
| ~ spl0_441 ),
inference(avatar_split_clause,[],[f3790,f3645,f3596,f6968]) ).
fof(f6968,plain,
( spl0_738
<=> ! [X2,X0,X1] :
( c_lessequals(X0,c_Main_OsubsetI__1(c_SetInterval_OatLeast(X0,X1),X2,X1),X1)
| ~ class_Orderings_Oord(X1)
| c_lessequals(c_SetInterval_OatLeast(X0,X1),X2,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_738])]) ).
fof(f3790,plain,
( ! [X2,X0,X1] :
( c_lessequals(X0,c_Main_OsubsetI__1(c_SetInterval_OatLeast(X0,X1),X2,X1),X1)
| ~ class_Orderings_Oord(X1)
| c_lessequals(c_SetInterval_OatLeast(X0,X1),X2,tc_set(X1)) )
| ~ spl0_429
| ~ spl0_441 ),
inference(resolution,[],[f3646,f3597]) ).
fof(f6966,plain,
( spl0_737
| ~ spl0_417
| ~ spl0_430 ),
inference(avatar_split_clause,[],[f3764,f3600,f3529,f6964]) ).
fof(f3764,plain,
( ! [X2,X3,X0,X1] :
( c_lessequals(X0,c_insert(X1,X2,X3),tc_set(X3))
| ~ c_in(c_Main_OsubsetI__1(X0,c_insert(X1,X2,X3),X3),X2,X3) )
| ~ spl0_417
| ~ spl0_430 ),
inference(resolution,[],[f3601,f3530]) ).
fof(f6962,plain,
( spl0_736
| ~ spl0_415
| ~ spl0_430 ),
inference(avatar_split_clause,[],[f3763,f3600,f3521,f6960]) ).
fof(f3763,plain,
( ! [X2,X3,X0,X1] :
( c_lessequals(X0,c_union(X1,X2,X3),tc_set(X3))
| ~ c_in(c_Main_OsubsetI__1(X0,c_union(X1,X2,X3),X3),X2,X3) )
| ~ spl0_415
| ~ spl0_430 ),
inference(resolution,[],[f3601,f3522]) ).
fof(f6958,plain,
( spl0_735
| ~ spl0_416
| ~ spl0_430 ),
inference(avatar_split_clause,[],[f3762,f3600,f3525,f6956]) ).
fof(f3762,plain,
( ! [X2,X3,X0,X1] :
( c_lessequals(X0,c_union(X1,X2,X3),tc_set(X3))
| ~ c_in(c_Main_OsubsetI__1(X0,c_union(X1,X2,X3),X3),X1,X3) )
| ~ spl0_416
| ~ spl0_430 ),
inference(resolution,[],[f3601,f3526]) ).
fof(f6954,plain,
( spl0_734
| ~ spl0_412
| ~ spl0_430 ),
inference(avatar_split_clause,[],[f3761,f3600,f3509,f6952]) ).
fof(f6952,plain,
( spl0_734
<=> ! [X2,X0,X1] :
( c_lessequals(X0,c_uminus(X1,tc_set(X2)),tc_set(X2))
| c_in(c_Main_OsubsetI__1(X0,c_uminus(X1,tc_set(X2)),X2),X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_734])]) ).
fof(f3761,plain,
( ! [X2,X0,X1] :
( c_lessequals(X0,c_uminus(X1,tc_set(X2)),tc_set(X2))
| c_in(c_Main_OsubsetI__1(X0,c_uminus(X1,tc_set(X2)),X2),X1,X2) )
| ~ spl0_412
| ~ spl0_430 ),
inference(resolution,[],[f3601,f3510]) ).
fof(f6950,plain,
( spl0_733
| ~ spl0_410
| ~ spl0_429 ),
inference(avatar_split_clause,[],[f3752,f3596,f3501,f6948]) ).
fof(f3752,plain,
( ! [X2,X0,X1] :
( c_lessequals(c_uminus(X0,tc_set(X1)),X2,tc_set(X1))
| ~ c_in(c_Main_OsubsetI__1(c_uminus(X0,tc_set(X1)),X2,X1),X0,X1) )
| ~ spl0_410
| ~ spl0_429 ),
inference(resolution,[],[f3597,f3502]) ).
fof(f6946,plain,
( spl0_732
| ~ spl0_413
| ~ spl0_429 ),
inference(avatar_split_clause,[],[f3751,f3596,f3513,f6944]) ).
fof(f6944,plain,
( spl0_732
<=> ! [X0,X3,X2,X1] :
( c_lessequals(c_inter(X0,X1,X2),X3,tc_set(X2))
| c_in(c_Main_OsubsetI__1(c_inter(X0,X1,X2),X3,X2),X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_732])]) ).
fof(f3751,plain,
( ! [X2,X3,X0,X1] :
( c_lessequals(c_inter(X0,X1,X2),X3,tc_set(X2))
| c_in(c_Main_OsubsetI__1(c_inter(X0,X1,X2),X3,X2),X1,X2) )
| ~ spl0_413
| ~ spl0_429 ),
inference(resolution,[],[f3597,f3514]) ).
fof(f6942,plain,
( spl0_731
| ~ spl0_414
| ~ spl0_429 ),
inference(avatar_split_clause,[],[f3750,f3596,f3517,f6940]) ).
fof(f6940,plain,
( spl0_731
<=> ! [X0,X3,X2,X1] :
( c_lessequals(c_inter(X0,X1,X2),X3,tc_set(X2))
| c_in(c_Main_OsubsetI__1(c_inter(X0,X1,X2),X3,X2),X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_731])]) ).
fof(f3750,plain,
( ! [X2,X3,X0,X1] :
( c_lessequals(c_inter(X0,X1,X2),X3,tc_set(X2))
| c_in(c_Main_OsubsetI__1(c_inter(X0,X1,X2),X3,X2),X0,X2) )
| ~ spl0_414
| ~ spl0_429 ),
inference(resolution,[],[f3597,f3518]) ).
fof(f6851,plain,
( spl0_730
| ~ spl0_497
| ~ spl0_581 ),
inference(avatar_split_clause,[],[f4755,f4702,f3971,f6849]) ).
fof(f6849,plain,
( spl0_730
<=> ! [X0,X1] :
( ~ c_in(X0,c_Relation_OImage(c_Wellfounded__Relations_Oless__than,X1,tc_nat,tc_nat),tc_nat)
| c_less(c_Main_OImageE__1(X1,X0,c_Wellfounded__Relations_Oless__than,tc_nat,tc_nat),X0,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_730])]) ).
fof(f4755,plain,
( ! [X0,X1] :
( ~ c_in(X0,c_Relation_OImage(c_Wellfounded__Relations_Oless__than,X1,tc_nat,tc_nat),tc_nat)
| c_less(c_Main_OImageE__1(X1,X0,c_Wellfounded__Relations_Oless__than,tc_nat,tc_nat),X0,tc_nat) )
| ~ spl0_497
| ~ spl0_581 ),
inference(resolution,[],[f4703,f3972]) ).
fof(f6846,plain,
( spl0_729
| ~ spl0_378
| ~ spl0_557 ),
inference(avatar_split_clause,[],[f4482,f4449,f3321,f6844]) ).
fof(f3321,plain,
( spl0_378
<=> ! [X53,X55] :
( ~ c_in(X53,X55,tc_Message_Omsg)
| c_in(X53,c_Message_Oparts(X55),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_378])]) ).
fof(f4482,plain,
( ! [X2,X0,X1] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(X0,c_union(X2,X1,tc_Message_Omsg),tc_Message_Omsg) )
| ~ spl0_378
| ~ spl0_557 ),
inference(resolution,[],[f4450,f3322]) ).
fof(f3322,plain,
( ! [X55,X53] :
( c_in(X53,c_Message_Oparts(X55),tc_Message_Omsg)
| ~ c_in(X53,X55,tc_Message_Omsg) )
| ~ spl0_378 ),
inference(avatar_component_clause,[],[f3321]) ).
fof(f6842,plain,
( spl0_728
| ~ spl0_456
| ~ spl0_516 ),
inference(avatar_split_clause,[],[f4184,f4101,f3705,f6840]) ).
fof(f6840,plain,
( spl0_728
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_Union(c_Pow(X3,X2),X2),X2)
| ~ c_lessequals(X1,X3,tc_set(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_728])]) ).
fof(f4184,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_Union(c_Pow(X3,X2),X2),X2)
| ~ c_lessequals(X1,X3,tc_set(X2)) )
| ~ spl0_456
| ~ spl0_516 ),
inference(resolution,[],[f4102,f3706]) ).
fof(f6838,plain,
( spl0_727
| ~ spl0_465
| ~ spl0_475 ),
inference(avatar_split_clause,[],[f3904,f3858,f3742,f6836]) ).
fof(f6836,plain,
( spl0_727
<=> ! [X0,X1] :
( ~ c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_set(tc_Message_Omsg))
| c_Message_Oanalz(X1) = c_Message_Oanalz(X0)
| ~ c_lessequals(X1,X0,tc_set(tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_727])]) ).
fof(f3742,plain,
( spl0_465
<=> ! [X20,X55] :
( ~ c_lessequals(X20,X55,tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Oanalz(X20),c_Message_Oanalz(X55),tc_set(tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_465])]) ).
fof(f3904,plain,
( ! [X0,X1] :
( ~ c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_set(tc_Message_Omsg))
| c_Message_Oanalz(X1) = c_Message_Oanalz(X0)
| ~ c_lessequals(X1,X0,tc_set(tc_Message_Omsg)) )
| ~ spl0_465
| ~ spl0_475 ),
inference(resolution,[],[f3859,f3743]) ).
fof(f3743,plain,
( ! [X55,X20] :
( c_lessequals(c_Message_Oanalz(X20),c_Message_Oanalz(X55),tc_set(tc_Message_Omsg))
| ~ c_lessequals(X20,X55,tc_set(tc_Message_Omsg)) )
| ~ spl0_465 ),
inference(avatar_component_clause,[],[f3742]) ).
fof(f6834,plain,
( spl0_726
| ~ spl0_465
| ~ spl0_473 ),
inference(avatar_split_clause,[],[f3896,f3850,f3742,f6832]) ).
fof(f6832,plain,
( spl0_726
<=> ! [X0,X1] :
( c_Message_Oanalz(X1) = c_Message_Oanalz(X0)
| c_less(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_set(tc_Message_Omsg))
| ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_726])]) ).
fof(f3896,plain,
( ! [X0,X1] :
( c_Message_Oanalz(X1) = c_Message_Oanalz(X0)
| c_less(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_set(tc_Message_Omsg))
| ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg)) )
| ~ spl0_465
| ~ spl0_473 ),
inference(resolution,[],[f3851,f3743]) ).
fof(f6830,plain,
( spl0_725
| ~ spl0_421
| ~ spl0_429 ),
inference(avatar_split_clause,[],[f3757,f3596,f3545,f6828]) ).
fof(f6828,plain,
( spl0_725
<=> ! [X0,X1] :
( c_lessequals(c_Message_Oparts(c_Message_Oparts(X0)),X1,tc_set(tc_Message_Omsg))
| c_in(c_Main_OsubsetI__1(c_Message_Oparts(c_Message_Oparts(X0)),X1,tc_Message_Omsg),c_Message_Oparts(X0),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_725])]) ).
fof(f3545,plain,
( spl0_421
<=> ! [X53,X55] :
( c_in(X53,c_Message_Oparts(X55),tc_Message_Omsg)
| ~ c_in(X53,c_Message_Oparts(c_Message_Oparts(X55)),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_421])]) ).
fof(f3757,plain,
( ! [X0,X1] :
( c_lessequals(c_Message_Oparts(c_Message_Oparts(X0)),X1,tc_set(tc_Message_Omsg))
| c_in(c_Main_OsubsetI__1(c_Message_Oparts(c_Message_Oparts(X0)),X1,tc_Message_Omsg),c_Message_Oparts(X0),tc_Message_Omsg) )
| ~ spl0_421
| ~ spl0_429 ),
inference(resolution,[],[f3597,f3546]) ).
fof(f3546,plain,
( ! [X55,X53] :
( ~ c_in(X53,c_Message_Oparts(c_Message_Oparts(X55)),tc_Message_Omsg)
| c_in(X53,c_Message_Oparts(X55),tc_Message_Omsg) )
| ~ spl0_421 ),
inference(avatar_component_clause,[],[f3545]) ).
fof(f6826,plain,
( spl0_724
| ~ spl0_420
| ~ spl0_429 ),
inference(avatar_split_clause,[],[f3755,f3596,f3541,f6824]) ).
fof(f6824,plain,
( spl0_724
<=> ! [X0,X1] :
( c_lessequals(c_Message_Oanalz(c_Message_Oanalz(X0)),X1,tc_set(tc_Message_Omsg))
| c_in(c_Main_OsubsetI__1(c_Message_Oanalz(c_Message_Oanalz(X0)),X1,tc_Message_Omsg),c_Message_Oanalz(X0),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_724])]) ).
fof(f3541,plain,
( spl0_420
<=> ! [X53,X55] :
( c_in(X53,c_Message_Oanalz(X55),tc_Message_Omsg)
| ~ c_in(X53,c_Message_Oanalz(c_Message_Oanalz(X55)),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_420])]) ).
fof(f3755,plain,
( ! [X0,X1] :
( c_lessequals(c_Message_Oanalz(c_Message_Oanalz(X0)),X1,tc_set(tc_Message_Omsg))
| c_in(c_Main_OsubsetI__1(c_Message_Oanalz(c_Message_Oanalz(X0)),X1,tc_Message_Omsg),c_Message_Oanalz(X0),tc_Message_Omsg) )
| ~ spl0_420
| ~ spl0_429 ),
inference(resolution,[],[f3597,f3542]) ).
fof(f3542,plain,
( ! [X55,X53] :
( ~ c_in(X53,c_Message_Oanalz(c_Message_Oanalz(X55)),tc_Message_Omsg)
| c_in(X53,c_Message_Oanalz(X55),tc_Message_Omsg) )
| ~ spl0_420 ),
inference(avatar_component_clause,[],[f3541]) ).
fof(f6822,plain,
( spl0_723
| ~ spl0_424
| ~ spl0_429 ),
inference(avatar_split_clause,[],[f3754,f3596,f3557,f6820]) ).
fof(f6820,plain,
( spl0_723
<=> ! [X0,X1] :
( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),X1,tc_set(tc_Message_Omsg))
| c_in(c_Main_OsubsetI__1(c_Message_Osynth(c_Message_Osynth(X0)),X1,tc_Message_Omsg),c_Message_Osynth(X0),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_723])]) ).
fof(f3754,plain,
( ! [X0,X1] :
( c_lessequals(c_Message_Osynth(c_Message_Osynth(X0)),X1,tc_set(tc_Message_Omsg))
| c_in(c_Main_OsubsetI__1(c_Message_Osynth(c_Message_Osynth(X0)),X1,tc_Message_Omsg),c_Message_Osynth(X0),tc_Message_Omsg) )
| ~ spl0_424
| ~ spl0_429 ),
inference(resolution,[],[f3597,f3558]) ).
fof(f6818,plain,
( spl0_722
| ~ spl0_407
| ~ spl0_429 ),
inference(avatar_split_clause,[],[f3753,f3596,f3489,f6816]) ).
fof(f6816,plain,
( spl0_722
<=> ! [X2,X0,X1] :
( c_lessequals(c_Datatype_Oo2s(X0,X1),X2,tc_set(X1))
| c_Datatype_Ooption_OSome(c_Main_OsubsetI__1(c_Datatype_Oo2s(X0,X1),X2,X1),X1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_722])]) ).
fof(f3753,plain,
( ! [X2,X0,X1] :
( c_lessequals(c_Datatype_Oo2s(X0,X1),X2,tc_set(X1))
| c_Datatype_Ooption_OSome(c_Main_OsubsetI__1(c_Datatype_Oo2s(X0,X1),X2,X1),X1) = X0 )
| ~ spl0_407
| ~ spl0_429 ),
inference(resolution,[],[f3597,f3490]) ).
fof(f6814,plain,
( spl0_721
| ~ spl0_382
| ~ spl0_429 ),
inference(avatar_split_clause,[],[f3749,f3596,f3353,f6812]) ).
fof(f6812,plain,
( spl0_721
<=> ! [X2,X0,X1] :
( c_lessequals(c_insert(X0,c_emptyset,X1),X2,tc_set(X1))
| c_Main_OsubsetI__1(c_insert(X0,c_emptyset,X1),X2,X1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_721])]) ).
fof(f3749,plain,
( ! [X2,X0,X1] :
( c_lessequals(c_insert(X0,c_emptyset,X1),X2,tc_set(X1))
| c_Main_OsubsetI__1(c_insert(X0,c_emptyset,X1),X2,X1) = X0 )
| ~ spl0_382
| ~ spl0_429 ),
inference(resolution,[],[f3597,f3354]) ).
fof(f6799,plain,
( spl0_720
| ~ spl0_649
| ~ spl0_678 ),
inference(avatar_split_clause,[],[f6162,f6109,f5663,f6797]) ).
fof(f5663,plain,
( spl0_649
<=> ! [X2,X0,X1] :
( c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X2,X0),X1,tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_649])]) ).
fof(f6162,plain,
( ! [X0] : c_in(X0,c_Message_Oanalz(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)),tc_Message_Omsg)
| ~ spl0_649
| ~ spl0_678 ),
inference(resolution,[],[f6110,f5664]) ).
fof(f5664,plain,
( ! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OMPair(X2,X0),X1,tc_Message_Omsg)
| c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) )
| ~ spl0_649 ),
inference(avatar_component_clause,[],[f5663]) ).
fof(f6617,plain,
( spl0_719
| ~ spl0_651
| ~ spl0_678 ),
inference(avatar_split_clause,[],[f6160,f6109,f5671,f6615]) ).
fof(f5671,plain,
( spl0_651
<=> ! [X2,X0,X1] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X2,X0),X1,tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_651])]) ).
fof(f6160,plain,
( ! [X0] : c_in(X0,c_Message_Oparts(c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,tc_Message_Omsg)),tc_Message_Omsg)
| ~ spl0_651
| ~ spl0_678 ),
inference(resolution,[],[f6110,f5672]) ).
fof(f5672,plain,
( ! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OMPair(X2,X0),X1,tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) )
| ~ spl0_651 ),
inference(avatar_component_clause,[],[f5671]) ).
fof(f6613,plain,
( spl0_718
| ~ spl0_285
| ~ spl0_616 ),
inference(avatar_split_clause,[],[f5179,f5139,f2603,f6611]) ).
fof(f6611,plain,
( spl0_718
<=> ! [X2,X0,X1,X3] : ~ c_in(X0,c_Datatype__Universe_Odprod(c_emptyset,X1,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_718])]) ).
fof(f2603,plain,
( spl0_285
<=> ! [X18,X1] : ~ c_in(X18,c_emptyset,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_285])]) ).
fof(f5179,plain,
( ! [X2,X3,X0,X1] : ~ c_in(X0,c_Datatype__Universe_Odprod(c_emptyset,X1,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| ~ spl0_285
| ~ spl0_616 ),
inference(resolution,[],[f5140,f2604]) ).
fof(f2604,plain,
( ! [X18,X1] : ~ c_in(X18,c_emptyset,X1)
| ~ spl0_285 ),
inference(avatar_component_clause,[],[f2603]) ).
fof(f6609,plain,
( spl0_717
| ~ spl0_285
| ~ spl0_615 ),
inference(avatar_split_clause,[],[f5149,f5135,f2603,f6607]) ).
fof(f6607,plain,
( spl0_717
<=> ! [X2,X0,X1,X3] : ~ c_in(X0,c_Datatype__Universe_Odprod(X1,c_emptyset,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_717])]) ).
fof(f5149,plain,
( ! [X2,X3,X0,X1] : ~ c_in(X0,c_Datatype__Universe_Odprod(X1,c_emptyset,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
| ~ spl0_285
| ~ spl0_615 ),
inference(resolution,[],[f5136,f2604]) ).
fof(f6605,plain,
( spl0_716
| ~ spl0_482
| ~ spl0_581 ),
inference(avatar_split_clause,[],[f4754,f4702,f3886,f6603]) ).
fof(f6603,plain,
( spl0_716
<=> ! [X2,X0,X1] :
( ~ c_in(X0,c_Relation_OImage(c_Relation_OId,X1,X2,X2),X2)
| c_Main_OImageE__1(X1,X0,c_Relation_OId,X2,X2) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_716])]) ).
fof(f4754,plain,
( ! [X2,X0,X1] :
( ~ c_in(X0,c_Relation_OImage(c_Relation_OId,X1,X2,X2),X2)
| c_Main_OImageE__1(X1,X0,c_Relation_OId,X2,X2) = X0 )
| ~ spl0_482
| ~ spl0_581 ),
inference(resolution,[],[f4703,f3887]) ).
fof(f6601,plain,
( spl0_715
| ~ spl0_498
| ~ spl0_577 ),
inference(avatar_split_clause,[],[f4670,f4660,f3975,f6599]) ).
fof(f6599,plain,
( spl0_715
<=> ! [X2,X0,X1] :
( c_in(X0,c_Relation_OImage(c_Wellfounded__Relations_Oless__than,X1,tc_nat,tc_nat),tc_nat)
| ~ c_in(X2,X1,tc_nat)
| ~ c_less(X2,X0,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_715])]) ).
fof(f4670,plain,
( ! [X2,X0,X1] :
( c_in(X0,c_Relation_OImage(c_Wellfounded__Relations_Oless__than,X1,tc_nat,tc_nat),tc_nat)
| ~ c_in(X2,X1,tc_nat)
| ~ c_less(X2,X0,tc_nat) )
| ~ spl0_498
| ~ spl0_577 ),
inference(resolution,[],[f4661,f3976]) ).
fof(f6597,plain,
( spl0_714
| ~ spl0_321
| ~ spl0_541 ),
inference(avatar_split_clause,[],[f4401,f4317,f3056,f6595]) ).
fof(f6595,plain,
( spl0_714
<=> ! [X0,X1] :
( ~ c_Divides_Oop_Advd(c_0,X0,tc_nat)
| ~ c_Divides_Oop_Advd(c_0,X1,tc_nat)
| c_0 = c_GCD_Ogcd(c_Pair(X0,X1,tc_nat,tc_nat)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_714])]) ).
fof(f3056,plain,
( spl0_321
<=> ! [X15] :
( c_0 = X15
| ~ c_Divides_Oop_Advd(c_0,X15,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_321])]) ).
fof(f4317,plain,
( spl0_541
<=> ! [X21,X16,X15] :
( ~ c_Divides_Oop_Advd(X16,X21,tc_nat)
| ~ c_Divides_Oop_Advd(X16,X15,tc_nat)
| c_Divides_Oop_Advd(X16,c_GCD_Ogcd(c_Pair(X15,X21,tc_nat,tc_nat)),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_541])]) ).
fof(f4401,plain,
( ! [X0,X1] :
( ~ c_Divides_Oop_Advd(c_0,X0,tc_nat)
| ~ c_Divides_Oop_Advd(c_0,X1,tc_nat)
| c_0 = c_GCD_Ogcd(c_Pair(X0,X1,tc_nat,tc_nat)) )
| ~ spl0_321
| ~ spl0_541 ),
inference(resolution,[],[f4318,f3057]) ).
fof(f3057,plain,
( ! [X15] :
( ~ c_Divides_Oop_Advd(c_0,X15,tc_nat)
| c_0 = X15 )
| ~ spl0_321 ),
inference(avatar_component_clause,[],[f3056]) ).
fof(f4318,plain,
( ! [X21,X16,X15] :
( c_Divides_Oop_Advd(X16,c_GCD_Ogcd(c_Pair(X15,X21,tc_nat,tc_nat)),tc_nat)
| ~ c_Divides_Oop_Advd(X16,X15,tc_nat)
| ~ c_Divides_Oop_Advd(X16,X21,tc_nat) )
| ~ spl0_541 ),
inference(avatar_component_clause,[],[f4317]) ).
fof(f6593,plain,
( spl0_713
| ~ spl0_328
| ~ spl0_536 ),
inference(avatar_split_clause,[],[f4387,f4297,f3084,f6591]) ).
fof(f6591,plain,
( spl0_713
<=> ! [X4,X0,X3,X2,X1] : c_in(X0,c_Relation_ORange(c_insert(c_Pair(X1,X0,X2,X3),X4,tc_prod(X2,X3)),X2,X3),X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_713])]) ).
fof(f4387,plain,
( ! [X2,X3,X0,X1,X4] : c_in(X0,c_Relation_ORange(c_insert(c_Pair(X1,X0,X2,X3),X4,tc_prod(X2,X3)),X2,X3),X3)
| ~ spl0_328
| ~ spl0_536 ),
inference(resolution,[],[f4298,f3085]) ).
fof(f6589,plain,
( spl0_712
| ~ spl0_328
| ~ spl0_533 ),
inference(avatar_split_clause,[],[f4360,f4285,f3084,f6587]) ).
fof(f6587,plain,
( spl0_712
<=> ! [X4,X0,X3,X2,X1] : c_in(X0,c_Relation_ODomain(c_insert(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3)),X2,X3),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_712])]) ).
fof(f4360,plain,
( ! [X2,X3,X0,X1,X4] : c_in(X0,c_Relation_ODomain(c_insert(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3)),X2,X3),X2)
| ~ spl0_328
| ~ spl0_533 ),
inference(resolution,[],[f4286,f3085]) ).
fof(f6585,plain,
( spl0_711
| ~ spl0_343
| ~ spl0_516 ),
inference(avatar_split_clause,[],[f4188,f4101,f3160,f6583]) ).
fof(f6583,plain,
( spl0_711
<=> ! [X2,X0,X1] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_Union(c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X1,tc_set(X2)),tc_set(X2)),X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_711])]) ).
fof(f4188,plain,
( ! [X2,X0,X1] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_Union(c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X1,tc_set(X2)),tc_set(X2)),X2),X2) )
| ~ spl0_343
| ~ spl0_516 ),
inference(resolution,[],[f4102,f3161]) ).
fof(f6581,plain,
( spl0_710
| ~ spl0_378
| ~ spl0_486 ),
inference(avatar_split_clause,[],[f3993,f3927,f3321,f6579]) ).
fof(f3993,plain,
( ! [X0,X1] :
( c_in(X0,c_List_Olists(c_Message_Oparts(X1),tc_Message_Omsg),tc_List_Olist(tc_Message_Omsg))
| ~ c_in(c_Main_Oin__listsI__1(c_Message_Oparts(X1),X0,tc_Message_Omsg),X1,tc_Message_Omsg) )
| ~ spl0_378
| ~ spl0_486 ),
inference(resolution,[],[f3928,f3322]) ).
fof(f6577,plain,
( spl0_709
| ~ spl0_377
| ~ spl0_486 ),
inference(avatar_split_clause,[],[f3992,f3927,f3317,f6575]) ).
fof(f3992,plain,
( ! [X0,X1] :
( c_in(X0,c_List_Olists(c_Message_Oanalz(X1),tc_Message_Omsg),tc_List_Olist(tc_Message_Omsg))
| ~ c_in(c_Main_Oin__listsI__1(c_Message_Oanalz(X1),X0,tc_Message_Omsg),X1,tc_Message_Omsg) )
| ~ spl0_377
| ~ spl0_486 ),
inference(resolution,[],[f3928,f3318]) ).
fof(f6573,plain,
( spl0_708
| ~ spl0_430
| ~ spl0_678 ),
inference(avatar_split_clause,[],[f6158,f6109,f3600,f6571]) ).
fof(f6158,plain,
( ! [X0,X1] : c_lessequals(X0,c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,X1),tc_set(X1))
| ~ spl0_430
| ~ spl0_678 ),
inference(resolution,[],[f6110,f3601]) ).
fof(f6569,plain,
( spl0_707
| ~ spl0_379
| ~ spl0_486 ),
inference(avatar_split_clause,[],[f3991,f3927,f3325,f6567]) ).
fof(f3325,plain,
( spl0_379
<=> ! [X53,X55] :
( ~ c_in(X53,X55,tc_Message_Omsg)
| c_in(X53,c_Message_Osynth(X55),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_379])]) ).
fof(f3991,plain,
( ! [X0,X1] :
( c_in(X0,c_List_Olists(c_Message_Osynth(X1),tc_Message_Omsg),tc_List_Olist(tc_Message_Omsg))
| ~ c_in(c_Main_Oin__listsI__1(c_Message_Osynth(X1),X0,tc_Message_Omsg),X1,tc_Message_Omsg) )
| ~ spl0_379
| ~ spl0_486 ),
inference(resolution,[],[f3928,f3326]) ).
fof(f3326,plain,
( ! [X55,X53] :
( c_in(X53,c_Message_Osynth(X55),tc_Message_Omsg)
| ~ c_in(X53,X55,tc_Message_Omsg) )
| ~ spl0_379 ),
inference(avatar_component_clause,[],[f3325]) ).
fof(f6459,plain,
( spl0_706
| ~ spl0_536
| ~ spl0_581 ),
inference(avatar_split_clause,[],[f4757,f4702,f4297,f6457]) ).
fof(f6457,plain,
( spl0_706
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(X0,c_Relation_OImage(X1,X2,X3,X4),X4)
| c_in(X0,c_Relation_ORange(X1,X3,X4),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_706])]) ).
fof(f4757,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_Relation_OImage(X1,X2,X3,X4),X4)
| c_in(X0,c_Relation_ORange(X1,X3,X4),X4) )
| ~ spl0_536
| ~ spl0_581 ),
inference(resolution,[],[f4703,f4298]) ).
fof(f6455,plain,
( spl0_705
| ~ spl0_497
| ~ spl0_570 ),
inference(avatar_split_clause,[],[f4616,f4557,f3971,f6453]) ).
fof(f6453,plain,
( spl0_705
<=> ! [X0] :
( ~ c_in(X0,c_Relation_ORange(c_Wellfounded__Relations_Oless__than,tc_nat,tc_nat),tc_nat)
| c_less(c_Main_ORangeE__1(X0,c_Wellfounded__Relations_Oless__than,tc_nat,tc_nat),X0,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_705])]) ).
fof(f4616,plain,
( ! [X0] :
( ~ c_in(X0,c_Relation_ORange(c_Wellfounded__Relations_Oless__than,tc_nat,tc_nat),tc_nat)
| c_less(c_Main_ORangeE__1(X0,c_Wellfounded__Relations_Oless__than,tc_nat,tc_nat),X0,tc_nat) )
| ~ spl0_497
| ~ spl0_570 ),
inference(resolution,[],[f4558,f3972]) ).
fof(f6435,plain,
( spl0_704
| ~ spl0_497
| ~ spl0_569 ),
inference(avatar_split_clause,[],[f4591,f4553,f3971,f6433]) ).
fof(f6433,plain,
( spl0_704
<=> ! [X0] :
( ~ c_in(X0,c_Relation_ODomain(c_Wellfounded__Relations_Oless__than,tc_nat,tc_nat),tc_nat)
| c_less(X0,c_Main_ODomainE__1(X0,c_Wellfounded__Relations_Oless__than,tc_nat,tc_nat),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_704])]) ).
fof(f4591,plain,
( ! [X0] :
( ~ c_in(X0,c_Relation_ODomain(c_Wellfounded__Relations_Oless__than,tc_nat,tc_nat),tc_nat)
| c_less(X0,c_Main_ODomainE__1(X0,c_Wellfounded__Relations_Oless__than,tc_nat,tc_nat),tc_nat) )
| ~ spl0_497
| ~ spl0_569 ),
inference(resolution,[],[f4554,f3972]) ).
fof(f6431,plain,
( spl0_703
| ~ spl0_304
| ~ spl0_552 ),
inference(avatar_split_clause,[],[f4469,f4429,f2987,f6429]) ).
fof(f6429,plain,
( spl0_703
<=> ! [X0,X3,X2,X1] :
( c_List_Olist_OCons(X0,c_List_Olist_ONil,X1) != c_append(X2,c_List_Olist_OCons(X3,c_List_Olist_ONil,X1),X1)
| X0 = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_703])]) ).
fof(f2987,plain,
( spl0_304
<=> ! [X25,X1] : c_append(c_List_Olist_ONil,X25,X1) = X25 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_304])]) ).
fof(f4429,plain,
( spl0_552
<=> ! [X23,X0,X3,X25,X1] :
( X0 = X3
| c_append(X23,c_List_Olist_OCons(X0,c_List_Olist_ONil,X1),X1) != c_append(X25,c_List_Olist_OCons(X3,c_List_Olist_ONil,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_552])]) ).
fof(f4469,plain,
( ! [X2,X3,X0,X1] :
( c_List_Olist_OCons(X0,c_List_Olist_ONil,X1) != c_append(X2,c_List_Olist_OCons(X3,c_List_Olist_ONil,X1),X1)
| X0 = X3 )
| ~ spl0_304
| ~ spl0_552 ),
inference(superposition,[],[f4430,f2988]) ).
fof(f2988,plain,
( ! [X1,X25] : c_append(c_List_Olist_ONil,X25,X1) = X25
| ~ spl0_304 ),
inference(avatar_component_clause,[],[f2987]) ).
fof(f4430,plain,
( ! [X3,X0,X1,X25,X23] :
( c_append(X23,c_List_Olist_OCons(X0,c_List_Olist_ONil,X1),X1) != c_append(X25,c_List_Olist_OCons(X3,c_List_Olist_ONil,X1),X1)
| X0 = X3 )
| ~ spl0_552 ),
inference(avatar_component_clause,[],[f4429]) ).
fof(f6427,plain,
( spl0_702
| ~ spl0_304
| ~ spl0_551 ),
inference(avatar_split_clause,[],[f4466,f4425,f2987,f6425]) ).
fof(f6425,plain,
( spl0_702
<=> ! [X0,X3,X2,X1] :
( c_List_Olist_OCons(X0,c_List_Olist_ONil,X1) != c_append(X2,c_List_Olist_OCons(X3,c_List_Olist_ONil,X1),X1)
| c_List_Olist_ONil = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_702])]) ).
fof(f4425,plain,
( spl0_551
<=> ! [X3,X0,X23,X25,X1] :
( X23 = X25
| c_append(X23,c_List_Olist_OCons(X0,c_List_Olist_ONil,X1),X1) != c_append(X25,c_List_Olist_OCons(X3,c_List_Olist_ONil,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_551])]) ).
fof(f4466,plain,
( ! [X2,X3,X0,X1] :
( c_List_Olist_OCons(X0,c_List_Olist_ONil,X1) != c_append(X2,c_List_Olist_OCons(X3,c_List_Olist_ONil,X1),X1)
| c_List_Olist_ONil = X2 )
| ~ spl0_304
| ~ spl0_551 ),
inference(superposition,[],[f4426,f2988]) ).
fof(f4426,plain,
( ! [X3,X0,X1,X25,X23] :
( c_append(X23,c_List_Olist_OCons(X0,c_List_Olist_ONil,X1),X1) != c_append(X25,c_List_Olist_OCons(X3,c_List_Olist_ONil,X1),X1)
| X23 = X25 )
| ~ spl0_551 ),
inference(avatar_component_clause,[],[f4425]) ).
fof(f6423,plain,
( spl0_701
| ~ spl0_500
| ~ spl0_520 ),
inference(avatar_split_clause,[],[f4255,f4207,f4037,f6421]) ).
fof(f6421,plain,
( spl0_701
<=> ! [X2,X0,X1] :
( ~ c_in(X0,X1,X2)
| c_in(c_Main_OdiagE__1(X1,c_Pair(X0,X0,X2,X2),X2),X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_701])]) ).
fof(f4255,plain,
( ! [X2,X0,X1] :
( ~ c_in(X0,X1,X2)
| c_in(c_Main_OdiagE__1(X1,c_Pair(X0,X0,X2,X2),X2),X1,X2) )
| ~ spl0_500
| ~ spl0_520 ),
inference(resolution,[],[f4208,f4038]) ).
fof(f6419,plain,
( spl0_700
| ~ spl0_465
| ~ spl0_474 ),
inference(avatar_split_clause,[],[f3900,f3854,f3742,f6417]) ).
fof(f6417,plain,
( spl0_700
<=> ! [X2,X0,X1] :
( c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_lessequals(X2,X1,tc_set(tc_Message_Omsg)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_700])]) ).
fof(f3900,plain,
( ! [X2,X0,X1] :
( c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_lessequals(X2,X1,tc_set(tc_Message_Omsg)) )
| ~ spl0_465
| ~ spl0_474 ),
inference(resolution,[],[f3855,f3743]) ).
fof(f6337,plain,
( spl0_678
| ~ spl0_549
| ~ spl0_671 ),
inference(avatar_split_clause,[],[f6087,f5913,f4414,f6109]) ).
fof(f4414,plain,
( spl0_549
<=> c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_G,tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_549])]) ).
fof(f6087,plain,
( ! [X0,X1] : c_in(X0,c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,X1),X1)
| ~ spl0_549
| ~ spl0_671 ),
inference(resolution,[],[f5914,f4415]) ).
fof(f4415,plain,
( c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_G,tc_Message_Omsg)
| ~ spl0_549 ),
inference(avatar_component_clause,[],[f4414]) ).
fof(f6247,plain,
( spl0_699
| ~ spl0_431
| ~ spl0_577 ),
inference(avatar_split_clause,[],[f4668,f4660,f3604,f6245]) ).
fof(f6245,plain,
( spl0_699
<=> ! [X0,X3,X2,X1] :
( c_in(X0,c_Relation_OImage(c_Transitive__Closure_Ortrancl(X1,X2),X3,X2,X2),X2)
| ~ c_in(X0,X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_699])]) ).
fof(f4668,plain,
( ! [X2,X3,X0,X1] :
( c_in(X0,c_Relation_OImage(c_Transitive__Closure_Ortrancl(X1,X2),X3,X2,X2),X2)
| ~ c_in(X0,X3,X2) )
| ~ spl0_431
| ~ spl0_577 ),
inference(resolution,[],[f4661,f3605]) ).
fof(f6243,plain,
( spl0_698
| ~ spl0_482
| ~ spl0_570 ),
inference(avatar_split_clause,[],[f4615,f4557,f3886,f6241]) ).
fof(f6241,plain,
( spl0_698
<=> ! [X0,X1] :
( ~ c_in(X0,c_Relation_ORange(c_Relation_OId,X1,X1),X1)
| c_Main_ORangeE__1(X0,c_Relation_OId,X1,X1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_698])]) ).
fof(f4615,plain,
( ! [X0,X1] :
( ~ c_in(X0,c_Relation_ORange(c_Relation_OId,X1,X1),X1)
| c_Main_ORangeE__1(X0,c_Relation_OId,X1,X1) = X0 )
| ~ spl0_482
| ~ spl0_570 ),
inference(resolution,[],[f4558,f3887]) ).
fof(f6239,plain,
( spl0_697
| ~ spl0_482
| ~ spl0_569 ),
inference(avatar_split_clause,[],[f4590,f4553,f3886,f6237]) ).
fof(f6237,plain,
( spl0_697
<=> ! [X0,X1] :
( ~ c_in(X0,c_Relation_ODomain(c_Relation_OId,X1,X1),X1)
| c_Main_ODomainE__1(X0,c_Relation_OId,X1,X1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_697])]) ).
fof(f4590,plain,
( ! [X0,X1] :
( ~ c_in(X0,c_Relation_ODomain(c_Relation_OId,X1,X1),X1)
| c_Main_ODomainE__1(X0,c_Relation_OId,X1,X1) = X0 )
| ~ spl0_482
| ~ spl0_569 ),
inference(resolution,[],[f4554,f3887]) ).
fof(f6235,plain,
( spl0_696
| ~ spl0_328
| ~ spl0_516 ),
inference(avatar_split_clause,[],[f4190,f4101,f3084,f6233]) ).
fof(f6233,plain,
( spl0_696
<=> ! [X0,X3,X2,X1] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_Union(c_insert(X1,X3,tc_set(X2)),X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_696])]) ).
fof(f4190,plain,
( ! [X2,X3,X0,X1] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_Union(c_insert(X1,X3,tc_set(X2)),X2),X2) )
| ~ spl0_328
| ~ spl0_516 ),
inference(resolution,[],[f4102,f3085]) ).
fof(f6231,plain,
( spl0_695
| ~ spl0_325
| ~ spl0_503 ),
inference(avatar_split_clause,[],[f4117,f4049,f3072,f6229]) ).
fof(f6229,plain,
( spl0_695
<=> ! [X0,X1] :
( c_less(c_0,X0,tc_nat)
| c_less(c_0,X1,tc_nat)
| c_0 = c_plus(X1,X0,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_695])]) ).
fof(f3072,plain,
( spl0_325
<=> ! [X21] :
( c_0 = X21
| c_less(c_0,X21,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_325])]) ).
fof(f4049,plain,
( spl0_503
<=> ! [X21,X15] :
( c_less(c_0,X15,tc_nat)
| c_less(c_0,X21,tc_nat)
| ~ c_less(c_0,c_plus(X15,X21,tc_nat),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_503])]) ).
fof(f4117,plain,
( ! [X0,X1] :
( c_less(c_0,X0,tc_nat)
| c_less(c_0,X1,tc_nat)
| c_0 = c_plus(X1,X0,tc_nat) )
| ~ spl0_325
| ~ spl0_503 ),
inference(resolution,[],[f4050,f3073]) ).
fof(f3073,plain,
( ! [X21] :
( c_less(c_0,X21,tc_nat)
| c_0 = X21 )
| ~ spl0_325 ),
inference(avatar_component_clause,[],[f3072]) ).
fof(f4050,plain,
( ! [X21,X15] :
( ~ c_less(c_0,c_plus(X15,X21,tc_nat),tc_nat)
| c_less(c_0,X21,tc_nat)
| c_less(c_0,X15,tc_nat) )
| ~ spl0_503 ),
inference(avatar_component_clause,[],[f4049]) ).
fof(f6227,plain,
( spl0_694
| ~ spl0_358
| ~ spl0_481 ),
inference(avatar_split_clause,[],[f3916,f3882,f3237,f6225]) ).
fof(f6225,plain,
( spl0_694
<=> ! [X2,X0,X1] : c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X0,c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),tc_nat,tc_nat)),X2,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_694])]) ).
fof(f3237,plain,
( spl0_358
<=> ! [X21,X15] : c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X15,X21,tc_nat,tc_nat)),X21,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_358])]) ).
fof(f3882,plain,
( spl0_481
<=> ! [X21,X16,X15] :
( c_Divides_Oop_Advd(X16,X21,tc_nat)
| ~ c_Divides_Oop_Advd(X16,c_GCD_Ogcd(c_Pair(X15,X21,tc_nat,tc_nat)),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_481])]) ).
fof(f3916,plain,
( ! [X2,X0,X1] : c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X0,c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),tc_nat,tc_nat)),X2,tc_nat)
| ~ spl0_358
| ~ spl0_481 ),
inference(resolution,[],[f3883,f3238]) ).
fof(f3238,plain,
( ! [X21,X15] : c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X15,X21,tc_nat,tc_nat)),X21,tc_nat)
| ~ spl0_358 ),
inference(avatar_component_clause,[],[f3237]) ).
fof(f3883,plain,
( ! [X21,X16,X15] :
( ~ c_Divides_Oop_Advd(X16,c_GCD_Ogcd(c_Pair(X15,X21,tc_nat,tc_nat)),tc_nat)
| c_Divides_Oop_Advd(X16,X21,tc_nat) )
| ~ spl0_481 ),
inference(avatar_component_clause,[],[f3882]) ).
fof(f6223,plain,
( spl0_693
| ~ spl0_357
| ~ spl0_481 ),
inference(avatar_split_clause,[],[f3915,f3882,f3233,f6221]) ).
fof(f6221,plain,
( spl0_693
<=> ! [X2,X0,X1] : c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(c_GCD_Ogcd(c_Pair(X0,X1,tc_nat,tc_nat)),X2,tc_nat,tc_nat)),X1,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_693])]) ).
fof(f3233,plain,
( spl0_357
<=> ! [X21,X15] : c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X15,X21,tc_nat,tc_nat)),X15,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_357])]) ).
fof(f3915,plain,
( ! [X2,X0,X1] : c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(c_GCD_Ogcd(c_Pair(X0,X1,tc_nat,tc_nat)),X2,tc_nat,tc_nat)),X1,tc_nat)
| ~ spl0_357
| ~ spl0_481 ),
inference(resolution,[],[f3883,f3234]) ).
fof(f3234,plain,
( ! [X21,X15] : c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X15,X21,tc_nat,tc_nat)),X15,tc_nat)
| ~ spl0_357 ),
inference(avatar_component_clause,[],[f3233]) ).
fof(f6219,plain,
( spl0_692
| ~ spl0_358
| ~ spl0_480 ),
inference(avatar_split_clause,[],[f3913,f3878,f3237,f6217]) ).
fof(f6217,plain,
( spl0_692
<=> ! [X2,X0,X1] : c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X0,c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),tc_nat,tc_nat)),X1,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_692])]) ).
fof(f3878,plain,
( spl0_480
<=> ! [X16,X21,X15] :
( c_Divides_Oop_Advd(X16,X15,tc_nat)
| ~ c_Divides_Oop_Advd(X16,c_GCD_Ogcd(c_Pair(X15,X21,tc_nat,tc_nat)),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_480])]) ).
fof(f3913,plain,
( ! [X2,X0,X1] : c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X0,c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),tc_nat,tc_nat)),X1,tc_nat)
| ~ spl0_358
| ~ spl0_480 ),
inference(resolution,[],[f3879,f3238]) ).
fof(f3879,plain,
( ! [X21,X16,X15] :
( ~ c_Divides_Oop_Advd(X16,c_GCD_Ogcd(c_Pair(X15,X21,tc_nat,tc_nat)),tc_nat)
| c_Divides_Oop_Advd(X16,X15,tc_nat) )
| ~ spl0_480 ),
inference(avatar_component_clause,[],[f3878]) ).
fof(f6215,plain,
( spl0_691
| ~ spl0_357
| ~ spl0_480 ),
inference(avatar_split_clause,[],[f3912,f3878,f3233,f6213]) ).
fof(f6213,plain,
( spl0_691
<=> ! [X2,X0,X1] : c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(c_GCD_Ogcd(c_Pair(X0,X1,tc_nat,tc_nat)),X2,tc_nat,tc_nat)),X0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_691])]) ).
fof(f3912,plain,
( ! [X2,X0,X1] : c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(c_GCD_Ogcd(c_Pair(X0,X1,tc_nat,tc_nat)),X2,tc_nat,tc_nat)),X0,tc_nat)
| ~ spl0_357
| ~ spl0_480 ),
inference(resolution,[],[f3879,f3234]) ).
fof(f6211,plain,
( spl0_690
| ~ spl0_378
| ~ spl0_430 ),
inference(avatar_split_clause,[],[f3767,f3600,f3321,f6209]) ).
fof(f3767,plain,
( ! [X0,X1] :
( c_lessequals(X0,c_Message_Oparts(X1),tc_set(tc_Message_Omsg))
| ~ c_in(c_Main_OsubsetI__1(X0,c_Message_Oparts(X1),tc_Message_Omsg),X1,tc_Message_Omsg) )
| ~ spl0_378
| ~ spl0_430 ),
inference(resolution,[],[f3601,f3322]) ).
fof(f6207,plain,
( spl0_689
| ~ spl0_377
| ~ spl0_430 ),
inference(avatar_split_clause,[],[f3766,f3600,f3317,f6205]) ).
fof(f3766,plain,
( ! [X0,X1] :
( c_lessequals(X0,c_Message_Oanalz(X1),tc_set(tc_Message_Omsg))
| ~ c_in(c_Main_OsubsetI__1(X0,c_Message_Oanalz(X1),tc_Message_Omsg),X1,tc_Message_Omsg) )
| ~ spl0_377
| ~ spl0_430 ),
inference(resolution,[],[f3601,f3318]) ).
fof(f6203,plain,
( spl0_688
| ~ spl0_379
| ~ spl0_430 ),
inference(avatar_split_clause,[],[f3765,f3600,f3325,f6201]) ).
fof(f3765,plain,
( ! [X0,X1] :
( c_lessequals(X0,c_Message_Osynth(X1),tc_set(tc_Message_Omsg))
| ~ c_in(c_Main_OsubsetI__1(X0,c_Message_Osynth(X1),tc_Message_Omsg),X1,tc_Message_Omsg) )
| ~ spl0_379
| ~ spl0_430 ),
inference(resolution,[],[f3601,f3326]) ).
fof(f6198,plain,
( spl0_687
| ~ spl0_535
| ~ spl0_678 ),
inference(avatar_split_clause,[],[f6150,f6109,f4293,f6196]) ).
fof(f6196,plain,
( spl0_687
<=> ! [X0,X1] : c_in(c_Main_OImageE__1(v_G,X0,c_UNIV,tc_Message_Omsg,X1),v_G,tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_687])]) ).
fof(f6150,plain,
( ! [X0,X1] : c_in(c_Main_OImageE__1(v_G,X0,c_UNIV,tc_Message_Omsg,X1),v_G,tc_Message_Omsg)
| ~ spl0_535
| ~ spl0_678 ),
inference(resolution,[],[f6110,f4294]) ).
fof(f6143,plain,
( spl0_686
| ~ spl0_523
| ~ spl0_581 ),
inference(avatar_split_clause,[],[f4759,f4702,f4220,f6141]) ).
fof(f6141,plain,
( spl0_686
<=> ! [X2,X0,X1] : ~ c_in(c_List_Olist_ONil,c_Relation_OImage(c_List_Olex(X0,X1),X2,tc_List_Olist(X1),tc_List_Olist(X1)),tc_List_Olist(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_686])]) ).
fof(f4220,plain,
( spl0_523
<=> ! [X5,X1,X23] : ~ c_in(c_Pair(X23,c_List_Olist_ONil,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olex(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_523])]) ).
fof(f4759,plain,
( ! [X2,X0,X1] : ~ c_in(c_List_Olist_ONil,c_Relation_OImage(c_List_Olex(X0,X1),X2,tc_List_Olist(X1),tc_List_Olist(X1)),tc_List_Olist(X1))
| ~ spl0_523
| ~ spl0_581 ),
inference(resolution,[],[f4703,f4221]) ).
fof(f4221,plain,
( ! [X1,X5,X23] : ~ c_in(c_Pair(X23,c_List_Olist_ONil,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olex(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))
| ~ spl0_523 ),
inference(avatar_component_clause,[],[f4220]) ).
fof(f6139,plain,
( spl0_685
| ~ spl0_520
| ~ spl0_536 ),
inference(avatar_split_clause,[],[f4381,f4297,f4207,f6137]) ).
fof(f6137,plain,
( spl0_685
<=> ! [X2,X0,X1] :
( c_in(X0,c_Relation_ORange(c_Relation_Odiag(X1,X2),X2,X2),X2)
| ~ c_in(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_685])]) ).
fof(f4381,plain,
( ! [X2,X0,X1] :
( c_in(X0,c_Relation_ORange(c_Relation_Odiag(X1,X2),X2,X2),X2)
| ~ c_in(X0,X1,X2) )
| ~ spl0_520
| ~ spl0_536 ),
inference(resolution,[],[f4298,f4208]) ).
fof(f6135,plain,
( spl0_684
| ~ spl0_520
| ~ spl0_533 ),
inference(avatar_split_clause,[],[f4354,f4285,f4207,f6133]) ).
fof(f6133,plain,
( spl0_684
<=> ! [X2,X0,X1] :
( c_in(X0,c_Relation_ODomain(c_Relation_Odiag(X1,X2),X2,X2),X2)
| ~ c_in(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_684])]) ).
fof(f4354,plain,
( ! [X2,X0,X1] :
( c_in(X0,c_Relation_ODomain(c_Relation_Odiag(X1,X2),X2,X2),X2)
| ~ c_in(X0,X1,X2) )
| ~ spl0_520
| ~ spl0_533 ),
inference(resolution,[],[f4286,f4208]) ).
fof(f6131,plain,
( spl0_683
| ~ spl0_339
| ~ spl0_516 ),
inference(avatar_split_clause,[],[f4181,f4101,f3144,f6129]) ).
fof(f6129,plain,
( spl0_683
<=> ! [X2,X0,X1] :
( ~ c_in(X0,c_SetInterval_OgreaterThanLessThan(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)
| c_in(X0,c_Union(c_Finite__Set_OFinites,tc_IntDef_Oint),tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_683])]) ).
fof(f3144,plain,
( spl0_339
<=> ! [X14,X26] : c_in(c_SetInterval_OgreaterThanLessThan(X26,X14,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_339])]) ).
fof(f4181,plain,
( ! [X2,X0,X1] :
( ~ c_in(X0,c_SetInterval_OgreaterThanLessThan(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)
| c_in(X0,c_Union(c_Finite__Set_OFinites,tc_IntDef_Oint),tc_IntDef_Oint) )
| ~ spl0_339
| ~ spl0_516 ),
inference(resolution,[],[f4102,f3145]) ).
fof(f3145,plain,
( ! [X26,X14] : c_in(c_SetInterval_OgreaterThanLessThan(X26,X14,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint))
| ~ spl0_339 ),
inference(avatar_component_clause,[],[f3144]) ).
fof(f6127,plain,
( spl0_682
| ~ spl0_338
| ~ spl0_516 ),
inference(avatar_split_clause,[],[f4180,f4101,f3140,f6125]) ).
fof(f6125,plain,
( spl0_682
<=> ! [X2,X0,X1] :
( ~ c_in(X0,c_SetInterval_OgreaterThanLessThan(X1,X2,tc_nat),tc_nat)
| c_in(X0,c_Union(c_Finite__Set_OFinites,tc_nat),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_682])]) ).
fof(f3140,plain,
( spl0_338
<=> ! [X14,X26] : c_in(c_SetInterval_OgreaterThanLessThan(X26,X14,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_338])]) ).
fof(f4180,plain,
( ! [X2,X0,X1] :
( ~ c_in(X0,c_SetInterval_OgreaterThanLessThan(X1,X2,tc_nat),tc_nat)
| c_in(X0,c_Union(c_Finite__Set_OFinites,tc_nat),tc_nat) )
| ~ spl0_338
| ~ spl0_516 ),
inference(resolution,[],[f4102,f3141]) ).
fof(f3141,plain,
( ! [X26,X14] : c_in(c_SetInterval_OgreaterThanLessThan(X26,X14,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat))
| ~ spl0_338 ),
inference(avatar_component_clause,[],[f3140]) ).
fof(f6123,plain,
( spl0_681
| ~ spl0_337
| ~ spl0_516 ),
inference(avatar_split_clause,[],[f4179,f4101,f3136,f6121]) ).
fof(f6121,plain,
( spl0_681
<=> ! [X2,X0,X1] :
( ~ c_in(X0,c_SetInterval_OgreaterThanAtMost(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)
| c_in(X0,c_Union(c_Finite__Set_OFinites,tc_IntDef_Oint),tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_681])]) ).
fof(f3136,plain,
( spl0_337
<=> ! [X14,X26] : c_in(c_SetInterval_OgreaterThanAtMost(X26,X14,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_337])]) ).
fof(f4179,plain,
( ! [X2,X0,X1] :
( ~ c_in(X0,c_SetInterval_OgreaterThanAtMost(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)
| c_in(X0,c_Union(c_Finite__Set_OFinites,tc_IntDef_Oint),tc_IntDef_Oint) )
| ~ spl0_337
| ~ spl0_516 ),
inference(resolution,[],[f4102,f3137]) ).
fof(f3137,plain,
( ! [X26,X14] : c_in(c_SetInterval_OgreaterThanAtMost(X26,X14,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint))
| ~ spl0_337 ),
inference(avatar_component_clause,[],[f3136]) ).
fof(f6119,plain,
( spl0_680
| ~ spl0_336
| ~ spl0_516 ),
inference(avatar_split_clause,[],[f4178,f4101,f3132,f6117]) ).
fof(f6117,plain,
( spl0_680
<=> ! [X2,X0,X1] :
( ~ c_in(X0,c_SetInterval_OgreaterThanAtMost(X1,X2,tc_nat),tc_nat)
| c_in(X0,c_Union(c_Finite__Set_OFinites,tc_nat),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_680])]) ).
fof(f3132,plain,
( spl0_336
<=> ! [X14,X26] : c_in(c_SetInterval_OgreaterThanAtMost(X26,X14,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_336])]) ).
fof(f4178,plain,
( ! [X2,X0,X1] :
( ~ c_in(X0,c_SetInterval_OgreaterThanAtMost(X1,X2,tc_nat),tc_nat)
| c_in(X0,c_Union(c_Finite__Set_OFinites,tc_nat),tc_nat) )
| ~ spl0_336
| ~ spl0_516 ),
inference(resolution,[],[f4102,f3133]) ).
fof(f3133,plain,
( ! [X26,X14] : c_in(c_SetInterval_OgreaterThanAtMost(X26,X14,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat))
| ~ spl0_336 ),
inference(avatar_component_clause,[],[f3132]) ).
fof(f6115,plain,
( spl0_679
| ~ spl0_335
| ~ spl0_516 ),
inference(avatar_split_clause,[],[f4176,f4101,f3128,f6113]) ).
fof(f6113,plain,
( spl0_679
<=> ! [X2,X0,X1] :
( ~ c_in(X0,c_SetInterval_OatLeastLessThan(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)
| c_in(X0,c_Union(c_Finite__Set_OFinites,tc_IntDef_Oint),tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_679])]) ).
fof(f3128,plain,
( spl0_335
<=> ! [X14,X26] : c_in(c_SetInterval_OatLeastLessThan(X26,X14,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_335])]) ).
fof(f4176,plain,
( ! [X2,X0,X1] :
( ~ c_in(X0,c_SetInterval_OatLeastLessThan(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)
| c_in(X0,c_Union(c_Finite__Set_OFinites,tc_IntDef_Oint),tc_IntDef_Oint) )
| ~ spl0_335
| ~ spl0_516 ),
inference(resolution,[],[f4102,f3129]) ).
fof(f3129,plain,
( ! [X26,X14] : c_in(c_SetInterval_OatLeastLessThan(X26,X14,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint))
| ~ spl0_335 ),
inference(avatar_component_clause,[],[f3128]) ).
fof(f6111,plain,
( spl0_678
| ~ spl0_574
| ~ spl0_671 ),
inference(avatar_split_clause,[],[f6086,f5913,f4573,f6109]) ).
fof(f4573,plain,
( spl0_574
<=> c_in(c_Message_Omsg_OKey(v_K),v_G,tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_574])]) ).
fof(f6086,plain,
( ! [X0,X1] : c_in(X0,c_Relation_OImage(c_UNIV,v_G,tc_Message_Omsg,X1),X1)
| ~ spl0_574
| ~ spl0_671 ),
inference(resolution,[],[f5914,f4575]) ).
fof(f4575,plain,
( c_in(c_Message_Omsg_OKey(v_K),v_G,tc_Message_Omsg)
| ~ spl0_574 ),
inference(avatar_component_clause,[],[f4573]) ).
fof(f6107,plain,
( spl0_677
| ~ spl0_333
| ~ spl0_516 ),
inference(avatar_split_clause,[],[f4175,f4101,f3120,f6105]) ).
fof(f6105,plain,
( spl0_677
<=> ! [X2,X0,X1] :
( ~ c_in(X0,c_SetInterval_OatLeastLessThan(X1,X2,tc_nat),tc_nat)
| c_in(X0,c_Union(c_Finite__Set_OFinites,tc_nat),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_677])]) ).
fof(f3120,plain,
( spl0_333
<=> ! [X14,X26] : c_in(c_SetInterval_OatLeastLessThan(X26,X14,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_333])]) ).
fof(f4175,plain,
( ! [X2,X0,X1] :
( ~ c_in(X0,c_SetInterval_OatLeastLessThan(X1,X2,tc_nat),tc_nat)
| c_in(X0,c_Union(c_Finite__Set_OFinites,tc_nat),tc_nat) )
| ~ spl0_333
| ~ spl0_516 ),
inference(resolution,[],[f4102,f3121]) ).
fof(f3121,plain,
( ! [X26,X14] : c_in(c_SetInterval_OatLeastLessThan(X26,X14,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat))
| ~ spl0_333 ),
inference(avatar_component_clause,[],[f3120]) ).
fof(f6103,plain,
( spl0_676
| ~ spl0_332
| ~ spl0_516 ),
inference(avatar_split_clause,[],[f4174,f4101,f3116,f6101]) ).
fof(f6101,plain,
( spl0_676
<=> ! [X2,X0,X1] :
( ~ c_in(X0,c_SetInterval_OatLeastAtMost(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)
| c_in(X0,c_Union(c_Finite__Set_OFinites,tc_IntDef_Oint),tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_676])]) ).
fof(f3116,plain,
( spl0_332
<=> ! [X14,X26] : c_in(c_SetInterval_OatLeastAtMost(X26,X14,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_332])]) ).
fof(f4174,plain,
( ! [X2,X0,X1] :
( ~ c_in(X0,c_SetInterval_OatLeastAtMost(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint)
| c_in(X0,c_Union(c_Finite__Set_OFinites,tc_IntDef_Oint),tc_IntDef_Oint) )
| ~ spl0_332
| ~ spl0_516 ),
inference(resolution,[],[f4102,f3117]) ).
fof(f3117,plain,
( ! [X26,X14] : c_in(c_SetInterval_OatLeastAtMost(X26,X14,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint))
| ~ spl0_332 ),
inference(avatar_component_clause,[],[f3116]) ).
fof(f6099,plain,
( spl0_675
| ~ spl0_331
| ~ spl0_516 ),
inference(avatar_split_clause,[],[f4173,f4101,f3112,f6097]) ).
fof(f6097,plain,
( spl0_675
<=> ! [X2,X0,X1] :
( ~ c_in(X0,c_SetInterval_OatLeastAtMost(X1,X2,tc_nat),tc_nat)
| c_in(X0,c_Union(c_Finite__Set_OFinites,tc_nat),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_675])]) ).
fof(f3112,plain,
( spl0_331
<=> ! [X14,X26] : c_in(c_SetInterval_OatLeastAtMost(X26,X14,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_331])]) ).
fof(f4173,plain,
( ! [X2,X0,X1] :
( ~ c_in(X0,c_SetInterval_OatLeastAtMost(X1,X2,tc_nat),tc_nat)
| c_in(X0,c_Union(c_Finite__Set_OFinites,tc_nat),tc_nat) )
| ~ spl0_331
| ~ spl0_516 ),
inference(resolution,[],[f4102,f3113]) ).
fof(f3113,plain,
( ! [X26,X14] : c_in(c_SetInterval_OatLeastAtMost(X26,X14,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat))
| ~ spl0_331 ),
inference(avatar_component_clause,[],[f3112]) ).
fof(f6095,plain,
( spl0_674
| ~ spl0_384
| ~ spl0_385 ),
inference(avatar_split_clause,[],[f3454,f3365,f3361,f6093]) ).
fof(f6093,plain,
( spl0_674
<=> ! [X2,X0,X1] :
( c_Datatype_Ooption_OSome(X2,X1) != X0
| c_Main_Onot__Some__eq__iff1__1(X0,X1) = X2
| c_Datatype_Ooption_ONone = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_674])]) ).
fof(f3361,plain,
( spl0_384
<=> ! [X0,X1] :
( c_Datatype_Ooption_ONone = X0
| c_Datatype_Ooption_OSome(c_Main_Onot__Some__eq__iff1__1(X0,X1),X1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_384])]) ).
fof(f3365,plain,
( spl0_385
<=> ! [X41,X1,X18] :
( X18 = X41
| c_Datatype_Ooption_OSome(X41,X1) != c_Datatype_Ooption_OSome(X18,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_385])]) ).
fof(f3454,plain,
( ! [X2,X0,X1] :
( c_Datatype_Ooption_OSome(X2,X1) != X0
| c_Main_Onot__Some__eq__iff1__1(X0,X1) = X2
| c_Datatype_Ooption_ONone = X0 )
| ~ spl0_384
| ~ spl0_385 ),
inference(superposition,[],[f3366,f3362]) ).
fof(f3362,plain,
( ! [X0,X1] :
( c_Datatype_Ooption_OSome(c_Main_Onot__Some__eq__iff1__1(X0,X1),X1) = X0
| c_Datatype_Ooption_ONone = X0 )
| ~ spl0_384 ),
inference(avatar_component_clause,[],[f3361]) ).
fof(f3366,plain,
( ! [X41,X1,X18] :
( c_Datatype_Ooption_OSome(X41,X1) != c_Datatype_Ooption_OSome(X18,X1)
| X18 = X41 )
| ~ spl0_385 ),
inference(avatar_component_clause,[],[f3365]) ).
fof(f6091,plain,
( spl0_673
| ~ spl0_383
| ~ spl0_385 ),
inference(avatar_split_clause,[],[f3453,f3365,f3357,f6089]) ).
fof(f6089,plain,
( spl0_673
<=> ! [X2,X0,X1] :
( c_Datatype_Ooption_OSome(X2,X1) != X0
| c_Main_Onot__None__eq__iff1__1(X0,X1) = X2
| c_Datatype_Ooption_ONone = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_673])]) ).
fof(f3357,plain,
( spl0_383
<=> ! [X0,X1] :
( c_Datatype_Ooption_ONone = X0
| c_Datatype_Ooption_OSome(c_Main_Onot__None__eq__iff1__1(X0,X1),X1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_383])]) ).
fof(f3453,plain,
( ! [X2,X0,X1] :
( c_Datatype_Ooption_OSome(X2,X1) != X0
| c_Main_Onot__None__eq__iff1__1(X0,X1) = X2
| c_Datatype_Ooption_ONone = X0 )
| ~ spl0_383
| ~ spl0_385 ),
inference(superposition,[],[f3366,f3358]) ).
fof(f3358,plain,
( ! [X0,X1] :
( c_Datatype_Ooption_OSome(c_Main_Onot__None__eq__iff1__1(X0,X1),X1) = X0
| c_Datatype_Ooption_ONone = X0 )
| ~ spl0_383 ),
inference(avatar_component_clause,[],[f3357]) ).
fof(f5958,plain,
( spl0_672
| ~ spl0_490
| ~ spl0_637 ),
inference(avatar_split_clause,[],[f5443,f5428,f3943,f5955]) ).
fof(f5955,plain,
( spl0_672
<=> c_emptyset = c_Message_Oparts(c_emptyset) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_672])]) ).
fof(f3943,plain,
( spl0_490
<=> ! [X0] : c_lessequals(c_Message_Oparts(c_emptyset),X0,tc_set(tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_490])]) ).
fof(f5443,plain,
( c_emptyset = c_Message_Oparts(c_emptyset)
| ~ spl0_490
| ~ spl0_637 ),
inference(resolution,[],[f5429,f3944]) ).
fof(f3944,plain,
( ! [X0] : c_lessequals(c_Message_Oparts(c_emptyset),X0,tc_set(tc_Message_Omsg))
| ~ spl0_490 ),
inference(avatar_component_clause,[],[f3943]) ).
fof(f5915,plain,
( spl0_671
| ~ spl0_67
| ~ spl0_577 ),
inference(avatar_split_clause,[],[f4674,f4660,f1730,f5913]) ).
fof(f4674,plain,
( ! [X2,X3,X0,X1,X4] :
( c_in(X0,c_Relation_OImage(c_UNIV,X1,X2,X3),X3)
| ~ c_in(X4,X1,X2) )
| ~ spl0_67
| ~ spl0_577 ),
inference(resolution,[],[f4661,f1731]) ).
fof(f5911,plain,
( spl0_670
| ~ spl0_401
| ~ spl0_577 ),
inference(avatar_split_clause,[],[f4667,f4660,f3429,f5909]) ).
fof(f5909,plain,
( spl0_670
<=> ! [X2,X0,X1] :
( c_in(X0,c_Relation_OImage(c_Relation_OId,X1,X2,X2),X2)
| ~ c_in(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_670])]) ).
fof(f4667,plain,
( ! [X2,X0,X1] :
( c_in(X0,c_Relation_OImage(c_Relation_OId,X1,X2,X2),X2)
| ~ c_in(X0,X1,X2) )
| ~ spl0_401
| ~ spl0_577 ),
inference(resolution,[],[f4661,f3430]) ).
fof(f5907,plain,
( spl0_669
| ~ spl0_523
| ~ spl0_570 ),
inference(avatar_split_clause,[],[f4619,f4557,f4220,f5905]) ).
fof(f5905,plain,
( spl0_669
<=> ! [X0,X1] : ~ c_in(c_List_Olist_ONil,c_Relation_ORange(c_List_Olex(X0,X1),tc_List_Olist(X1),tc_List_Olist(X1)),tc_List_Olist(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_669])]) ).
fof(f4619,plain,
( ! [X0,X1] : ~ c_in(c_List_Olist_ONil,c_Relation_ORange(c_List_Olex(X0,X1),tc_List_Olist(X1),tc_List_Olist(X1)),tc_List_Olist(X1))
| ~ spl0_523
| ~ spl0_570 ),
inference(resolution,[],[f4558,f4221]) ).
fof(f5903,plain,
( spl0_668
| ~ spl0_524
| ~ spl0_569 ),
inference(avatar_split_clause,[],[f4594,f4553,f4224,f5901]) ).
fof(f5901,plain,
( spl0_668
<=> ! [X0,X1] : ~ c_in(c_List_Olist_ONil,c_Relation_ODomain(c_List_Olex(X0,X1),tc_List_Olist(X1),tc_List_Olist(X1)),tc_List_Olist(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_668])]) ).
fof(f4224,plain,
( spl0_524
<=> ! [X25,X5,X1] : ~ c_in(c_Pair(c_List_Olist_ONil,X25,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olex(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_524])]) ).
fof(f4594,plain,
( ! [X0,X1] : ~ c_in(c_List_Olist_ONil,c_Relation_ODomain(c_List_Olex(X0,X1),tc_List_Olist(X1),tc_List_Olist(X1)),tc_List_Olist(X1))
| ~ spl0_524
| ~ spl0_569 ),
inference(resolution,[],[f4554,f4225]) ).
fof(f4225,plain,
( ! [X1,X5,X25] : ~ c_in(c_Pair(c_List_Olist_ONil,X25,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olex(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))
| ~ spl0_524 ),
inference(avatar_component_clause,[],[f4224]) ).
fof(f5899,plain,
( spl0_667
| ~ spl0_293
| ~ spl0_546 ),
inference(avatar_split_clause,[],[f4409,f4338,f2942,f5897]) ).
fof(f5897,plain,
( spl0_667
<=> ! [X0,X1] : c_insert(X0,c_emptyset,X1) = c_insert(X0,c_insert(X0,c_emptyset,X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_667])]) ).
fof(f2942,plain,
( spl0_293
<=> ! [X12,X1] : c_lessequals(X12,X12,tc_set(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_293])]) ).
fof(f4409,plain,
( ! [X0,X1] : c_insert(X0,c_emptyset,X1) = c_insert(X0,c_insert(X0,c_emptyset,X1),X1)
| ~ spl0_293
| ~ spl0_546 ),
inference(resolution,[],[f4339,f2943]) ).
fof(f2943,plain,
( ! [X1,X12] : c_lessequals(X12,X12,tc_set(X1))
| ~ spl0_293 ),
inference(avatar_component_clause,[],[f2942]) ).
fof(f5895,plain,
( spl0_666
| ~ spl0_320
| ~ spl0_516 ),
inference(avatar_split_clause,[],[f4182,f4101,f3052,f5893]) ).
fof(f5893,plain,
( spl0_666
<=> ! [X0,X1] :
( ~ c_in(X0,c_SetInterval_OlessThan(X1,tc_nat),tc_nat)
| c_in(X0,c_Union(c_Finite__Set_OFinites,tc_nat),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_666])]) ).
fof(f3052,plain,
( spl0_320
<=> ! [X16] : c_in(c_SetInterval_OlessThan(X16,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_320])]) ).
fof(f4182,plain,
( ! [X0,X1] :
( ~ c_in(X0,c_SetInterval_OlessThan(X1,tc_nat),tc_nat)
| c_in(X0,c_Union(c_Finite__Set_OFinites,tc_nat),tc_nat) )
| ~ spl0_320
| ~ spl0_516 ),
inference(resolution,[],[f4102,f3053]) ).
fof(f3053,plain,
( ! [X16] : c_in(c_SetInterval_OlessThan(X16,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat))
| ~ spl0_320 ),
inference(avatar_component_clause,[],[f3052]) ).
fof(f5891,plain,
( spl0_665
| ~ spl0_319
| ~ spl0_516 ),
inference(avatar_split_clause,[],[f4177,f4101,f3048,f5889]) ).
fof(f5889,plain,
( spl0_665
<=> ! [X0,X1] :
( ~ c_in(X0,c_SetInterval_OatMost(X1,tc_nat),tc_nat)
| c_in(X0,c_Union(c_Finite__Set_OFinites,tc_nat),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_665])]) ).
fof(f3048,plain,
( spl0_319
<=> ! [X16] : c_in(c_SetInterval_OatMost(X16,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_319])]) ).
fof(f4177,plain,
( ! [X0,X1] :
( ~ c_in(X0,c_SetInterval_OatMost(X1,tc_nat),tc_nat)
| c_in(X0,c_Union(c_Finite__Set_OFinites,tc_nat),tc_nat) )
| ~ spl0_319
| ~ spl0_516 ),
inference(resolution,[],[f4102,f3049]) ).
fof(f3049,plain,
( ! [X16] : c_in(c_SetInterval_OatMost(X16,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat))
| ~ spl0_319 ),
inference(avatar_component_clause,[],[f3048]) ).
fof(f5887,plain,
( spl0_664
| ~ spl0_317
| ~ spl0_516 ),
inference(avatar_split_clause,[],[f4172,f4101,f3040,f5885]) ).
fof(f5885,plain,
( spl0_664
<=> ! [X2,X0,X1] :
( ~ c_in(X0,c_List_Oset(X1,X2),X2)
| c_in(X0,c_Union(c_Finite__Set_OFinites,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_664])]) ).
fof(f3040,plain,
( spl0_317
<=> ! [X1,X23] : c_in(c_List_Oset(X23,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_317])]) ).
fof(f4172,plain,
( ! [X2,X0,X1] :
( ~ c_in(X0,c_List_Oset(X1,X2),X2)
| c_in(X0,c_Union(c_Finite__Set_OFinites,X2),X2) )
| ~ spl0_317
| ~ spl0_516 ),
inference(resolution,[],[f4102,f3041]) ).
fof(f3041,plain,
( ! [X1,X23] : c_in(c_List_Oset(X23,X1),c_Finite__Set_OFinites,tc_set(X1))
| ~ spl0_317 ),
inference(avatar_component_clause,[],[f3040]) ).
fof(f5883,plain,
( spl0_663
| ~ spl0_423
| ~ spl0_424 ),
inference(avatar_split_clause,[],[f3579,f3557,f3553,f5881]) ).
fof(f5881,plain,
( spl0_663
<=> ! [X0,X1] :
( c_in(c_Message_Omsg_OHash(X0),c_Message_Osynth(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Osynth(c_Message_Osynth(X1)),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_663])]) ).
fof(f3553,plain,
( spl0_423
<=> ! [X53,X55] :
( ~ c_in(X53,c_Message_Osynth(X55),tc_Message_Omsg)
| c_in(c_Message_Omsg_OHash(X53),c_Message_Osynth(X55),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_423])]) ).
fof(f3579,plain,
( ! [X0,X1] :
( c_in(c_Message_Omsg_OHash(X0),c_Message_Osynth(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Osynth(c_Message_Osynth(X1)),tc_Message_Omsg) )
| ~ spl0_423
| ~ spl0_424 ),
inference(resolution,[],[f3558,f3554]) ).
fof(f3554,plain,
( ! [X55,X53] :
( c_in(c_Message_Omsg_OHash(X53),c_Message_Osynth(X55),tc_Message_Omsg)
| ~ c_in(X53,c_Message_Osynth(X55),tc_Message_Omsg) )
| ~ spl0_423 ),
inference(avatar_component_clause,[],[f3553]) ).
fof(f5879,plain,
( spl0_662
| ~ spl0_389
| ~ spl0_392 ),
inference(avatar_split_clause,[],[f3466,f3393,f3381,f5877]) ).
fof(f5877,plain,
( spl0_662
<=> ! [X0,X1] :
( ~ c_Divides_Oop_Advd(X0,c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint)
| c_Divides_Oop_Advd(c_uminus(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_662])]) ).
fof(f3381,plain,
( spl0_389
<=> ! [X11,X42] :
( c_Divides_Oop_Advd(X42,X11,tc_IntDef_Oint)
| ~ c_Divides_Oop_Advd(X42,c_uminus(X11,tc_IntDef_Oint),tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_389])]) ).
fof(f3393,plain,
( spl0_392
<=> ! [X11,X42] :
( ~ c_Divides_Oop_Advd(X42,X11,tc_IntDef_Oint)
| c_Divides_Oop_Advd(c_uminus(X42,tc_IntDef_Oint),X11,tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_392])]) ).
fof(f3466,plain,
( ! [X0,X1] :
( ~ c_Divides_Oop_Advd(X0,c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint)
| c_Divides_Oop_Advd(c_uminus(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint) )
| ~ spl0_389
| ~ spl0_392 ),
inference(resolution,[],[f3394,f3382]) ).
fof(f3382,plain,
( ! [X11,X42] :
( ~ c_Divides_Oop_Advd(X42,c_uminus(X11,tc_IntDef_Oint),tc_IntDef_Oint)
| c_Divides_Oop_Advd(X42,X11,tc_IntDef_Oint) )
| ~ spl0_389 ),
inference(avatar_component_clause,[],[f3381]) ).
fof(f3394,plain,
( ! [X11,X42] :
( c_Divides_Oop_Advd(c_uminus(X42,tc_IntDef_Oint),X11,tc_IntDef_Oint)
| ~ c_Divides_Oop_Advd(X42,X11,tc_IntDef_Oint) )
| ~ spl0_392 ),
inference(avatar_component_clause,[],[f3393]) ).
fof(f5875,plain,
( spl0_661
| ~ spl0_390
| ~ spl0_391 ),
inference(avatar_split_clause,[],[f3464,f3389,f3385,f5873]) ).
fof(f5873,plain,
( spl0_661
<=> ! [X0,X1] :
( c_Divides_Oop_Advd(X0,c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_Divides_Oop_Advd(c_uminus(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_661])]) ).
fof(f3385,plain,
( spl0_390
<=> ! [X11,X42] :
( ~ c_Divides_Oop_Advd(X42,X11,tc_IntDef_Oint)
| c_Divides_Oop_Advd(X42,c_uminus(X11,tc_IntDef_Oint),tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_390])]) ).
fof(f3389,plain,
( spl0_391
<=> ! [X11,X42] :
( c_Divides_Oop_Advd(X42,X11,tc_IntDef_Oint)
| ~ c_Divides_Oop_Advd(c_uminus(X42,tc_IntDef_Oint),X11,tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_391])]) ).
fof(f3464,plain,
( ! [X0,X1] :
( c_Divides_Oop_Advd(X0,c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_Divides_Oop_Advd(c_uminus(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint) )
| ~ spl0_390
| ~ spl0_391 ),
inference(resolution,[],[f3390,f3386]) ).
fof(f3386,plain,
( ! [X11,X42] :
( c_Divides_Oop_Advd(X42,c_uminus(X11,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_Divides_Oop_Advd(X42,X11,tc_IntDef_Oint) )
| ~ spl0_390 ),
inference(avatar_component_clause,[],[f3385]) ).
fof(f3390,plain,
( ! [X11,X42] :
( ~ c_Divides_Oop_Advd(c_uminus(X42,tc_IntDef_Oint),X11,tc_IntDef_Oint)
| c_Divides_Oop_Advd(X42,X11,tc_IntDef_Oint) )
| ~ spl0_391 ),
inference(avatar_component_clause,[],[f3389]) ).
fof(f5710,plain,
( ~ spl0_660
| ~ spl0_415
| spl0_631 ),
inference(avatar_split_clause,[],[f5485,f5339,f3521,f5707]) ).
fof(f5707,plain,
( spl0_660
<=> c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),v_H,tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_660])]) ).
fof(f5339,plain,
( spl0_631
<=> c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_631])]) ).
fof(f5485,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),v_H,tc_Message_Omsg)
| ~ spl0_415
| spl0_631 ),
inference(resolution,[],[f5341,f3522]) ).
fof(f5341,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg)
| spl0_631 ),
inference(avatar_component_clause,[],[f5339]) ).
fof(f5705,plain,
( spl0_659
| ~ spl0_285
| ~ spl0_606 ),
inference(avatar_split_clause,[],[f5026,f4978,f2603,f5703]) ).
fof(f5703,plain,
( spl0_659
<=> ! [X4,X0,X3,X2,X1] : ~ c_in(X0,c_Relation_Orel__comp(X1,c_emptyset,X2,X3,X4),tc_prod(X4,X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_659])]) ).
fof(f5026,plain,
( ! [X2,X3,X0,X1,X4] : ~ c_in(X0,c_Relation_Orel__comp(X1,c_emptyset,X2,X3,X4),tc_prod(X4,X3))
| ~ spl0_285
| ~ spl0_606 ),
inference(resolution,[],[f4979,f2604]) ).
fof(f5701,plain,
( spl0_658
| ~ spl0_285
| ~ spl0_605 ),
inference(avatar_split_clause,[],[f4996,f4974,f2603,f5699]) ).
fof(f5699,plain,
( spl0_658
<=> ! [X4,X0,X3,X2,X1] : ~ c_in(X0,c_Relation_Orel__comp(c_emptyset,X1,X2,X3,X4),tc_prod(X4,X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_658])]) ).
fof(f4996,plain,
( ! [X2,X3,X0,X1,X4] : ~ c_in(X0,c_Relation_Orel__comp(c_emptyset,X1,X2,X3,X4),tc_prod(X4,X3))
| ~ spl0_285
| ~ spl0_605 ),
inference(resolution,[],[f4975,f2604]) ).
fof(f5697,plain,
( spl0_657
| ~ spl0_285
| ~ spl0_580 ),
inference(avatar_split_clause,[],[f4735,f4698,f2603,f5695]) ).
fof(f5695,plain,
( spl0_657
<=> ! [X2,X0,X1,X3] : ~ c_in(X0,c_Datatype__Universe_Ouprod(c_emptyset,X1,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_657])]) ).
fof(f4735,plain,
( ! [X2,X3,X0,X1] : ~ c_in(X0,c_Datatype__Universe_Ouprod(c_emptyset,X1,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ spl0_285
| ~ spl0_580 ),
inference(resolution,[],[f4699,f2604]) ).
fof(f5693,plain,
( spl0_656
| ~ spl0_285
| ~ spl0_579 ),
inference(avatar_split_clause,[],[f4715,f4694,f2603,f5691]) ).
fof(f5691,plain,
( spl0_656
<=> ! [X2,X0,X1,X3] : ~ c_in(X0,c_Datatype__Universe_Ouprod(X1,c_emptyset,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_656])]) ).
fof(f4715,plain,
( ! [X2,X3,X0,X1] : ~ c_in(X0,c_Datatype__Universe_Ouprod(X1,c_emptyset,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
| ~ spl0_285
| ~ spl0_579 ),
inference(resolution,[],[f4695,f2604]) ).
fof(f5689,plain,
( spl0_655
| ~ spl0_498
| ~ spl0_536 ),
inference(avatar_split_clause,[],[f4382,f4297,f3975,f5687]) ).
fof(f5687,plain,
( spl0_655
<=> ! [X0,X1] :
( c_in(X0,c_Relation_ORange(c_Wellfounded__Relations_Oless__than,tc_nat,tc_nat),tc_nat)
| ~ c_less(X1,X0,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_655])]) ).
fof(f4382,plain,
( ! [X0,X1] :
( c_in(X0,c_Relation_ORange(c_Wellfounded__Relations_Oless__than,tc_nat,tc_nat),tc_nat)
| ~ c_less(X1,X0,tc_nat) )
| ~ spl0_498
| ~ spl0_536 ),
inference(resolution,[],[f4298,f3976]) ).
fof(f5685,plain,
( spl0_654
| ~ spl0_498
| ~ spl0_533 ),
inference(avatar_split_clause,[],[f4355,f4285,f3975,f5683]) ).
fof(f5683,plain,
( spl0_654
<=> ! [X0,X1] :
( c_in(X0,c_Relation_ODomain(c_Wellfounded__Relations_Oless__than,tc_nat,tc_nat),tc_nat)
| ~ c_less(X0,X1,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_654])]) ).
fof(f4355,plain,
( ! [X0,X1] :
( c_in(X0,c_Relation_ODomain(c_Wellfounded__Relations_Oless__than,tc_nat,tc_nat),tc_nat)
| ~ c_less(X0,X1,tc_nat) )
| ~ spl0_498
| ~ spl0_533 ),
inference(resolution,[],[f4286,f3976]) ).
fof(f5681,plain,
( spl0_653
| ~ spl0_298
| ~ spl0_304
| ~ spl0_526 ),
inference(avatar_split_clause,[],[f4261,f4232,f2987,f2963,f5679]) ).
fof(f5679,plain,
( spl0_653
<=> ! [X0,X1] : c_List_Olist_OCons(X1,c_List_Olist_ONil,X0) = c_List_Orev(c_List_Olist_OCons(X1,c_List_Olist_ONil,X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_653])]) ).
fof(f2963,plain,
( spl0_298
<=> ! [X1] : c_List_Olist_ONil = c_List_Orev(c_List_Olist_ONil,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_298])]) ).
fof(f4261,plain,
( ! [X0,X1] : c_List_Olist_OCons(X1,c_List_Olist_ONil,X0) = c_List_Orev(c_List_Olist_OCons(X1,c_List_Olist_ONil,X0),X0)
| ~ spl0_298
| ~ spl0_304
| ~ spl0_526 ),
inference(forward_demodulation,[],[f4256,f2988]) ).
fof(f4256,plain,
( ! [X0,X1] : c_List_Olist_OCons(X1,c_List_Olist_ONil,X0) = c_List_Orev(c_append(c_List_Olist_ONil,c_List_Olist_OCons(X1,c_List_Olist_ONil,X0),X0),X0)
| ~ spl0_298
| ~ spl0_526 ),
inference(superposition,[],[f4233,f2964]) ).
fof(f2964,plain,
( ! [X1] : c_List_Olist_ONil = c_List_Orev(c_List_Olist_ONil,X1)
| ~ spl0_298 ),
inference(avatar_component_clause,[],[f2963]) ).
fof(f5677,plain,
( spl0_652
| ~ spl0_378
| ~ spl0_464 ),
inference(avatar_split_clause,[],[f3828,f3738,f3321,f5675]) ).
fof(f3738,plain,
( spl0_464
<=> ! [X53,X55,X56] :
( c_in(X53,c_Message_Oparts(X55),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X53,X56),c_Message_Oparts(X55),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_464])]) ).
fof(f3828,plain,
( ! [X2,X0,X1] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X2),X1,tc_Message_Omsg) )
| ~ spl0_378
| ~ spl0_464 ),
inference(resolution,[],[f3739,f3322]) ).
fof(f3739,plain,
( ! [X56,X55,X53] :
( ~ c_in(c_Message_Omsg_OMPair(X53,X56),c_Message_Oparts(X55),tc_Message_Omsg)
| c_in(X53,c_Message_Oparts(X55),tc_Message_Omsg) )
| ~ spl0_464 ),
inference(avatar_component_clause,[],[f3738]) ).
fof(f5673,plain,
( spl0_651
| ~ spl0_378
| ~ spl0_463 ),
inference(avatar_split_clause,[],[f3827,f3734,f3321,f5671]) ).
fof(f3734,plain,
( spl0_463
<=> ! [X53,X55,X56] :
( c_in(X56,c_Message_Oparts(X55),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X53,X56),c_Message_Oparts(X55),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_463])]) ).
fof(f3827,plain,
( ! [X2,X0,X1] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X2,X0),X1,tc_Message_Omsg) )
| ~ spl0_378
| ~ spl0_463 ),
inference(resolution,[],[f3735,f3322]) ).
fof(f3735,plain,
( ! [X56,X55,X53] :
( ~ c_in(c_Message_Omsg_OMPair(X53,X56),c_Message_Oparts(X55),tc_Message_Omsg)
| c_in(X56,c_Message_Oparts(X55),tc_Message_Omsg) )
| ~ spl0_463 ),
inference(avatar_component_clause,[],[f3734]) ).
fof(f5669,plain,
( spl0_650
| ~ spl0_377
| ~ spl0_462 ),
inference(avatar_split_clause,[],[f3826,f3730,f3317,f5667]) ).
fof(f3730,plain,
( spl0_462
<=> ! [X53,X55,X56] :
( c_in(X53,c_Message_Oanalz(X55),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X53,X56),c_Message_Oanalz(X55),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_462])]) ).
fof(f3826,plain,
( ! [X2,X0,X1] :
( c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X2),X1,tc_Message_Omsg) )
| ~ spl0_377
| ~ spl0_462 ),
inference(resolution,[],[f3731,f3318]) ).
fof(f3731,plain,
( ! [X56,X55,X53] :
( ~ c_in(c_Message_Omsg_OMPair(X53,X56),c_Message_Oanalz(X55),tc_Message_Omsg)
| c_in(X53,c_Message_Oanalz(X55),tc_Message_Omsg) )
| ~ spl0_462 ),
inference(avatar_component_clause,[],[f3730]) ).
fof(f5665,plain,
( spl0_649
| ~ spl0_377
| ~ spl0_461 ),
inference(avatar_split_clause,[],[f3820,f3726,f3317,f5663]) ).
fof(f3726,plain,
( spl0_461
<=> ! [X53,X55,X56] :
( c_in(X56,c_Message_Oanalz(X55),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X53,X56),c_Message_Oanalz(X55),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_461])]) ).
fof(f3820,plain,
( ! [X2,X0,X1] :
( c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X2,X0),X1,tc_Message_Omsg) )
| ~ spl0_377
| ~ spl0_461 ),
inference(resolution,[],[f3727,f3318]) ).
fof(f3727,plain,
( ! [X56,X55,X53] :
( ~ c_in(c_Message_Omsg_OMPair(X53,X56),c_Message_Oanalz(X55),tc_Message_Omsg)
| c_in(X56,c_Message_Oanalz(X55),tc_Message_Omsg) )
| ~ spl0_461 ),
inference(avatar_component_clause,[],[f3726]) ).
fof(f5661,plain,
( spl0_648
| ~ spl0_343
| ~ spl0_384 ),
inference(avatar_split_clause,[],[f3451,f3361,f3160,f5659]) ).
fof(f5659,plain,
( spl0_648
<=> ! [X0,X1] :
( c_in(c_Main_Onot__Some__eq__iff1__1(X0,X1),c_Datatype_Oo2s(X0,X1),X1)
| c_Datatype_Ooption_ONone = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_648])]) ).
fof(f3451,plain,
( ! [X0,X1] :
( c_in(c_Main_Onot__Some__eq__iff1__1(X0,X1),c_Datatype_Oo2s(X0,X1),X1)
| c_Datatype_Ooption_ONone = X0 )
| ~ spl0_343
| ~ spl0_384 ),
inference(superposition,[],[f3161,f3362]) ).
fof(f5657,plain,
( spl0_647
| ~ spl0_343
| ~ spl0_383 ),
inference(avatar_split_clause,[],[f3449,f3357,f3160,f5655]) ).
fof(f5655,plain,
( spl0_647
<=> ! [X0,X1] :
( c_in(c_Main_Onot__None__eq__iff1__1(X0,X1),c_Datatype_Oo2s(X0,X1),X1)
| c_Datatype_Ooption_ONone = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_647])]) ).
fof(f3449,plain,
( ! [X0,X1] :
( c_in(c_Main_Onot__None__eq__iff1__1(X0,X1),c_Datatype_Oo2s(X0,X1),X1)
| c_Datatype_Ooption_ONone = X0 )
| ~ spl0_343
| ~ spl0_383 ),
inference(superposition,[],[f3161,f3358]) ).
fof(f5553,plain,
( spl0_646
| ~ spl0_67
| ~ spl0_516 ),
inference(avatar_split_clause,[],[f4187,f4101,f1730,f5551]) ).
fof(f5551,plain,
( spl0_646
<=> ! [X2,X0,X1] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_Union(c_UNIV,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_646])]) ).
fof(f4187,plain,
( ! [X2,X0,X1] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_Union(c_UNIV,X2),X2) )
| ~ spl0_67
| ~ spl0_516 ),
inference(resolution,[],[f4102,f1731]) ).
fof(f5523,plain,
( ~ spl0_614
| ~ spl0_416
| spl0_631 ),
inference(avatar_split_clause,[],[f5484,f5339,f3525,f5116]) ).
fof(f5116,plain,
( spl0_614
<=> c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),v_G,tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_614])]) ).
fof(f5484,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),v_G,tc_Message_Omsg)
| ~ spl0_416
| spl0_631 ),
inference(resolution,[],[f5341,f3526]) ).
fof(f5509,plain,
( spl0_645
| ~ spl0_285
| ~ spl0_590 ),
inference(avatar_split_clause,[],[f4850,f4831,f2603,f5507]) ).
fof(f5507,plain,
( spl0_645
<=> ! [X2,X0,X1] : ~ c_in(X0,c_Relation_Oconverse(c_emptyset,X1,X2),tc_prod(X2,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_645])]) ).
fof(f4850,plain,
( ! [X2,X0,X1] : ~ c_in(X0,c_Relation_Oconverse(c_emptyset,X1,X2),tc_prod(X2,X1))
| ~ spl0_285
| ~ spl0_590 ),
inference(resolution,[],[f4832,f2604]) ).
fof(f5505,plain,
( spl0_644
| ~ spl0_431
| ~ spl0_536 ),
inference(avatar_split_clause,[],[f4380,f4297,f3604,f5503]) ).
fof(f5503,plain,
( spl0_644
<=> ! [X2,X0,X1] : c_in(X0,c_Relation_ORange(c_Transitive__Closure_Ortrancl(X1,X2),X2,X2),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_644])]) ).
fof(f4380,plain,
( ! [X2,X0,X1] : c_in(X0,c_Relation_ORange(c_Transitive__Closure_Ortrancl(X1,X2),X2,X2),X2)
| ~ spl0_431
| ~ spl0_536 ),
inference(resolution,[],[f4298,f3605]) ).
fof(f5501,plain,
( spl0_643
| ~ spl0_431
| ~ spl0_533 ),
inference(avatar_split_clause,[],[f4353,f4285,f3604,f5499]) ).
fof(f5499,plain,
( spl0_643
<=> ! [X2,X0,X1] : c_in(X0,c_Relation_ODomain(c_Transitive__Closure_Ortrancl(X1,X2),X2,X2),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_643])]) ).
fof(f4353,plain,
( ! [X2,X0,X1] : c_in(X0,c_Relation_ODomain(c_Transitive__Closure_Ortrancl(X1,X2),X2,X2),X2)
| ~ spl0_431
| ~ spl0_533 ),
inference(resolution,[],[f4286,f3605]) ).
fof(f5497,plain,
( spl0_642
| ~ spl0_486
| ~ spl0_519 ),
inference(avatar_split_clause,[],[f4254,f4203,f3927,f5495]) ).
fof(f5495,plain,
( spl0_642
<=> ! [X0,X1] : c_in(X0,c_List_Olists(c_List_Oset(X0,X1),X1),tc_List_Olist(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_642])]) ).
fof(f4254,plain,
( ! [X0,X1] : c_in(X0,c_List_Olists(c_List_Oset(X0,X1),X1),tc_List_Olist(X1))
| ~ spl0_486
| ~ spl0_519 ),
inference(duplicate_literal_removal,[],[f4251]) ).
fof(f4251,plain,
( ! [X0,X1] :
( c_in(X0,c_List_Olists(c_List_Oset(X0,X1),X1),tc_List_Olist(X1))
| c_in(X0,c_List_Olists(c_List_Oset(X0,X1),X1),tc_List_Olist(X1)) )
| ~ spl0_486
| ~ spl0_519 ),
inference(resolution,[],[f4204,f3928]) ).
fof(f5493,plain,
( spl0_641
| ~ spl0_304
| ~ spl0_439 ),
inference(avatar_split_clause,[],[f3779,f3637,f2987,f5491]) ).
fof(f5491,plain,
( spl0_641
<=> ! [X2,X0,X1] :
( c_append(c_List_Olist_ONil,X2,X1) != X0
| X0 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_641])]) ).
fof(f3637,plain,
( spl0_439
<=> ! [X43,X23,X25,X1] :
( X25 = X43
| c_append(X23,X25,X1) != c_append(X23,X43,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_439])]) ).
fof(f3779,plain,
( ! [X2,X0,X1] :
( c_append(c_List_Olist_ONil,X2,X1) != X0
| X0 = X2 )
| ~ spl0_304
| ~ spl0_439 ),
inference(superposition,[],[f3638,f2988]) ).
fof(f3638,plain,
( ! [X1,X25,X23,X43] :
( c_append(X23,X25,X1) != c_append(X23,X43,X1)
| X25 = X43 )
| ~ spl0_439 ),
inference(avatar_component_clause,[],[f3637]) ).
fof(f5489,plain,
( spl0_640
| ~ spl0_305
| ~ spl0_435 ),
inference(avatar_split_clause,[],[f3773,f3620,f2991,f5487]) ).
fof(f5487,plain,
( spl0_640
<=> ! [X2,X0,X1] :
( c_append(X2,c_List_Olist_ONil,X1) != X0
| X0 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_640])]) ).
fof(f2991,plain,
( spl0_305
<=> ! [X1,X23] : c_append(X23,c_List_Olist_ONil,X1) = X23 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_305])]) ).
fof(f3620,plain,
( spl0_435
<=> ! [X43,X23,X25,X1] :
( X25 = X43
| c_append(X25,X23,X1) != c_append(X43,X23,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_435])]) ).
fof(f3773,plain,
( ! [X2,X0,X1] :
( c_append(X2,c_List_Olist_ONil,X1) != X0
| X0 = X2 )
| ~ spl0_305
| ~ spl0_435 ),
inference(superposition,[],[f3621,f2992]) ).
fof(f2992,plain,
( ! [X1,X23] : c_append(X23,c_List_Olist_ONil,X1) = X23
| ~ spl0_305 ),
inference(avatar_component_clause,[],[f2991]) ).
fof(f3621,plain,
( ! [X1,X25,X23,X43] :
( c_append(X25,X23,X1) != c_append(X43,X23,X1)
| X25 = X43 )
| ~ spl0_435 ),
inference(avatar_component_clause,[],[f3620]) ).
fof(f5483,plain,
( spl0_639
| ~ spl0_306
| ~ spl0_428 ),
inference(avatar_split_clause,[],[f3747,f3592,f2995,f5481]) ).
fof(f5481,plain,
( spl0_639
<=> ! [X0] : c_lessequals(c_Nat_Osize(c_List_Oremdups(c_List_Olist_ONil,X0),tc_List_Olist(X0)),c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_639])]) ).
fof(f2995,plain,
( spl0_306
<=> ! [X1] : c_0 = c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_306])]) ).
fof(f3592,plain,
( spl0_428
<=> ! [X1,X23] : c_lessequals(c_Nat_Osize(c_List_Oremdups(X23,X1),tc_List_Olist(X1)),c_Nat_Osize(X23,tc_List_Olist(X1)),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_428])]) ).
fof(f3747,plain,
( ! [X0] : c_lessequals(c_Nat_Osize(c_List_Oremdups(c_List_Olist_ONil,X0),tc_List_Olist(X0)),c_0,tc_nat)
| ~ spl0_306
| ~ spl0_428 ),
inference(superposition,[],[f3593,f2996]) ).
fof(f2996,plain,
( ! [X1] : c_0 = c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X1))
| ~ spl0_306 ),
inference(avatar_component_clause,[],[f2995]) ).
fof(f3593,plain,
( ! [X1,X23] : c_lessequals(c_Nat_Osize(c_List_Oremdups(X23,X1),tc_List_Olist(X1)),c_Nat_Osize(X23,tc_List_Olist(X1)),tc_nat)
| ~ spl0_428 ),
inference(avatar_component_clause,[],[f3592]) ).
fof(f5434,plain,
( spl0_638
| ~ spl0_285
| ~ spl0_581 ),
inference(avatar_split_clause,[],[f4761,f4702,f2603,f5432]) ).
fof(f5432,plain,
( spl0_638
<=> ! [X2,X0,X1,X3] : ~ c_in(X0,c_Relation_OImage(c_emptyset,X1,X2,X3),X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_638])]) ).
fof(f4761,plain,
( ! [X2,X3,X0,X1] : ~ c_in(X0,c_Relation_OImage(c_emptyset,X1,X2,X3),X3)
| ~ spl0_285
| ~ spl0_581 ),
inference(resolution,[],[f4703,f2604]) ).
fof(f5430,plain,
( spl0_637
| ~ spl0_292
| ~ spl0_475 ),
inference(avatar_split_clause,[],[f3901,f3858,f2938,f5428]) ).
fof(f2938,plain,
( spl0_292
<=> ! [X12,X1] : c_lessequals(c_emptyset,X12,tc_set(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_292])]) ).
fof(f3901,plain,
( ! [X0,X1] :
( ~ c_lessequals(X0,c_emptyset,tc_set(X1))
| c_emptyset = X0 )
| ~ spl0_292
| ~ spl0_475 ),
inference(resolution,[],[f3859,f2939]) ).
fof(f2939,plain,
( ! [X1,X12] : c_lessequals(c_emptyset,X12,tc_set(X1))
| ~ spl0_292 ),
inference(avatar_component_clause,[],[f2938]) ).
fof(f5426,plain,
( spl0_636
| ~ spl0_292
| ~ spl0_473 ),
inference(avatar_split_clause,[],[f3893,f3850,f2938,f5424]) ).
fof(f5424,plain,
( spl0_636
<=> ! [X0,X1] :
( c_emptyset = X0
| c_less(c_emptyset,X0,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_636])]) ).
fof(f3893,plain,
( ! [X0,X1] :
( c_emptyset = X0
| c_less(c_emptyset,X0,tc_set(X1)) )
| ~ spl0_292
| ~ spl0_473 ),
inference(resolution,[],[f3851,f2939]) ).
fof(f5422,plain,
( spl0_635
| ~ spl0_48
| ~ spl0_625 ),
inference(avatar_split_clause,[],[f5305,f5302,f1643,f5419]) ).
fof(f5419,plain,
( spl0_635
<=> c_in(v_X,c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_635])]) ).
fof(f5305,plain,
( c_in(v_X,c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_Message_Omsg)
| ~ spl0_48
| ~ spl0_625 ),
inference(resolution,[],[f5303,f1645]) ).
fof(f5354,plain,
( spl0_634
| ~ spl0_285
| ~ spl0_570 ),
inference(avatar_split_clause,[],[f4621,f4557,f2603,f5352]) ).
fof(f5352,plain,
( spl0_634
<=> ! [X2,X0,X1] : ~ c_in(X0,c_Relation_ORange(c_emptyset,X1,X2),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_634])]) ).
fof(f4621,plain,
( ! [X2,X0,X1] : ~ c_in(X0,c_Relation_ORange(c_emptyset,X1,X2),X2)
| ~ spl0_285
| ~ spl0_570 ),
inference(resolution,[],[f4558,f2604]) ).
fof(f5350,plain,
( spl0_633
| ~ spl0_285
| ~ spl0_569 ),
inference(avatar_split_clause,[],[f4596,f4553,f2603,f5348]) ).
fof(f5348,plain,
( spl0_633
<=> ! [X2,X0,X1] : ~ c_in(X0,c_Relation_ODomain(c_emptyset,X1,X2),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_633])]) ).
fof(f4596,plain,
( ! [X2,X0,X1] : ~ c_in(X0,c_Relation_ODomain(c_emptyset,X1,X2),X1)
| ~ spl0_285
| ~ spl0_569 ),
inference(resolution,[],[f4554,f2604]) ).
fof(f5346,plain,
( spl0_632
| ~ spl0_67
| ~ spl0_536 ),
inference(avatar_split_clause,[],[f4384,f4297,f1730,f5344]) ).
fof(f5344,plain,
( spl0_632
<=> ! [X2,X0,X1] : c_in(X0,c_Relation_ORange(c_UNIV,X1,X2),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_632])]) ).
fof(f4384,plain,
( ! [X2,X0,X1] : c_in(X0,c_Relation_ORange(c_UNIV,X1,X2),X2)
| ~ spl0_67
| ~ spl0_536 ),
inference(resolution,[],[f4298,f1731]) ).
fof(f5342,plain,
( ~ spl0_631
| ~ spl0_377
| spl0_602 ),
inference(avatar_split_clause,[],[f5291,f4945,f3317,f5339]) ).
fof(f5291,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg)
| ~ spl0_377
| spl0_602 ),
inference(resolution,[],[f4946,f3318]) ).
fof(f4946,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| spl0_602 ),
inference(avatar_component_clause,[],[f4945]) ).
fof(f5337,plain,
( spl0_630
| ~ spl0_401
| ~ spl0_536 ),
inference(avatar_split_clause,[],[f4379,f4297,f3429,f5335]) ).
fof(f5335,plain,
( spl0_630
<=> ! [X0,X1] : c_in(X0,c_Relation_ORange(c_Relation_OId,X1,X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_630])]) ).
fof(f4379,plain,
( ! [X0,X1] : c_in(X0,c_Relation_ORange(c_Relation_OId,X1,X1),X1)
| ~ spl0_401
| ~ spl0_536 ),
inference(resolution,[],[f4298,f3430]) ).
fof(f5333,plain,
( spl0_629
| ~ spl0_67
| ~ spl0_533 ),
inference(avatar_split_clause,[],[f4357,f4285,f1730,f5331]) ).
fof(f5331,plain,
( spl0_629
<=> ! [X2,X0,X1] : c_in(X0,c_Relation_ODomain(c_UNIV,X1,X2),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_629])]) ).
fof(f4357,plain,
( ! [X2,X0,X1] : c_in(X0,c_Relation_ODomain(c_UNIV,X1,X2),X1)
| ~ spl0_67
| ~ spl0_533 ),
inference(resolution,[],[f4286,f1731]) ).
fof(f5329,plain,
( spl0_628
| ~ spl0_401
| ~ spl0_533 ),
inference(avatar_split_clause,[],[f4352,f4285,f3429,f5327]) ).
fof(f5327,plain,
( spl0_628
<=> ! [X0,X1] : c_in(X0,c_Relation_ODomain(c_Relation_OId,X1,X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_628])]) ).
fof(f4352,plain,
( ! [X0,X1] : c_in(X0,c_Relation_ODomain(c_Relation_OId,X1,X1),X1)
| ~ spl0_401
| ~ spl0_533 ),
inference(resolution,[],[f4286,f3430]) ).
fof(f5325,plain,
( spl0_627
| ~ spl0_67
| ~ spl0_486 ),
inference(avatar_split_clause,[],[f3981,f3927,f1730,f5323]) ).
fof(f5323,plain,
( spl0_627
<=> ! [X0,X1] : c_in(X0,c_List_Olists(c_UNIV,X1),tc_List_Olist(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_627])]) ).
fof(f3981,plain,
( ! [X0,X1] : c_in(X0,c_List_Olists(c_UNIV,X1),tc_List_Olist(X1))
| ~ spl0_67
| ~ spl0_486 ),
inference(resolution,[],[f3928,f1731]) ).
fof(f5310,plain,
( spl0_626
| ~ spl0_293
| ~ spl0_509 ),
inference(avatar_split_clause,[],[f4134,f4073,f2942,f5308]) ).
fof(f5308,plain,
( spl0_626
<=> ! [X0,X1] :
( c_lessequals(X0,X0,X1)
| ~ class_Orderings_Olinorder(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_626])]) ).
fof(f4073,plain,
( spl0_509
<=> ! [X0,X1,X3] :
( ~ class_Orderings_Olinorder(X1)
| c_lessequals(X3,X0,X1)
| ~ c_lessequals(c_SetInterval_OgreaterThan(X0,X1),c_SetInterval_OgreaterThan(X3,X1),tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_509])]) ).
fof(f4134,plain,
( ! [X0,X1] :
( c_lessequals(X0,X0,X1)
| ~ class_Orderings_Olinorder(X1) )
| ~ spl0_293
| ~ spl0_509 ),
inference(resolution,[],[f4074,f2943]) ).
fof(f4074,plain,
( ! [X3,X0,X1] :
( ~ c_lessequals(c_SetInterval_OgreaterThan(X0,X1),c_SetInterval_OgreaterThan(X3,X1),tc_set(X1))
| c_lessequals(X3,X0,X1)
| ~ class_Orderings_Olinorder(X1) )
| ~ spl0_509 ),
inference(avatar_component_clause,[],[f4073]) ).
fof(f5304,plain,
( spl0_625
| ~ spl0_49
| ~ spl0_563 ),
inference(avatar_split_clause,[],[f4509,f4505,f1648,f5302]) ).
fof(f1648,plain,
( spl0_49
<=> c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f4509,plain,
( ! [X0] :
( c_in(X0,c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(v_K,X0),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_Message_Omsg) )
| ~ spl0_49
| ~ spl0_563 ),
inference(resolution,[],[f4506,f1650]) ).
fof(f1650,plain,
( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_Message_Omsg)
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f1648]) ).
fof(f5295,plain,
spl0_624,
inference(avatar_split_clause,[],[f6,f5293]) ).
fof(f6,axiom,
! [X2,X10,X1,X8,X6,X9,X7,X5] :
( ~ c_in(c_Pair(X7,X8,tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X6,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| ~ c_in(c_Pair(X9,X10,tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| c_in(c_Pair(c_Datatype__Universe_OScons(X9,X7,X1,X2),c_Datatype__Universe_OScons(X10,X8,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),c_Datatype__Universe_Odprod(X5,X6,X1,X2),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OdprodI_0) ).
fof(f5279,plain,
spl0_623,
inference(avatar_split_clause,[],[f10,f5277]) ).
fof(f10,axiom,
! [X2,X11,X1,X6,X5] :
( ~ c_in(X11,c_Datatype__Universe_Odsum(X5,X6,X1,X2),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| c_in(c_Pair(c_Main_OdsumE__3(X6,X11,X1,X2),c_Main_OdsumE__4(X6,X11,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X6,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| c_in(c_Pair(c_Main_OdsumE__1(X5,X11,X1,X2),c_Main_OdsumE__2(X5,X11,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OdsumE_3) ).
fof(f5253,plain,
spl0_622,
inference(avatar_split_clause,[],[f9,f5251]) ).
fof(f9,axiom,
! [X2,X11,X1,X6,X5] :
( ~ c_in(X11,c_Datatype__Universe_Odsum(X5,X6,X1,X2),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X6,X11,X1,X2),X1,X2),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X6,X11,X1,X2),X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))) = X11
| c_in(c_Pair(c_Main_OdsumE__1(X5,X11,X1,X2),c_Main_OdsumE__2(X5,X11,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OdsumE_2) ).
fof(f5249,plain,
spl0_621,
inference(avatar_split_clause,[],[f8,f5247]) ).
fof(f8,axiom,
! [X2,X11,X1,X6,X5] :
( ~ c_in(X11,c_Datatype__Universe_Odsum(X5,X6,X1,X2),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X5,X11,X1,X2),X1,X2),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X5,X11,X1,X2),X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))) = X11
| c_in(c_Pair(c_Main_OdsumE__3(X6,X11,X1,X2),c_Main_OdsumE__4(X6,X11,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X6,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OdsumE_1) ).
fof(f5234,plain,
spl0_620,
inference(avatar_split_clause,[],[f7,f5232]) ).
fof(f7,axiom,
! [X2,X11,X1,X6,X5] :
( ~ c_in(X11,c_Datatype__Universe_Odsum(X5,X6,X1,X2),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X6,X11,X1,X2),X1,X2),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X6,X11,X1,X2),X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))) = X11
| c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X5,X11,X1,X2),X1,X2),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X5,X11,X1,X2),X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))) = X11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OdsumE_0) ).
fof(f5221,plain,
spl0_619,
inference(avatar_split_clause,[],[f3,f5219]) ).
fof(f3,axiom,
! [X2,X1,X6,X4,X5] :
( ~ c_in(X4,c_Datatype__Universe_Odprod(X5,X6,X1,X2),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| c_Pair(c_Datatype__Universe_OScons(c_Main_OdprodE__1(X4,X5,X6,X1,X2),c_Main_OdprodE__2(X4,X5,X6,X1,X2),X1,X2),c_Datatype__Universe_OScons(c_Main_OdprodE__3(X4,X5,X6,X1,X2),c_Main_OdprodE__4(X4,X5,X6,X1,X2),X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))) = X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OdprodE_0) ).
fof(f5209,plain,
spl0_618,
inference(avatar_split_clause,[],[f12,f5207]) ).
fof(f12,axiom,
! [X2,X1,X8,X6,X7,X5] :
( ~ c_in(c_Pair(X7,X8,tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X6,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| c_in(c_Pair(c_Datatype__Universe_OIn1(X7,X1,X2),c_Datatype__Universe_OIn1(X8,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),c_Datatype__Universe_Odsum(X5,X6,X1,X2),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_Odsum__In1I_0) ).
fof(f5205,plain,
spl0_617,
inference(avatar_split_clause,[],[f11,f5203]) ).
fof(f11,axiom,
! [X2,X10,X1,X6,X9,X5] :
( ~ c_in(c_Pair(X9,X10,tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| c_in(c_Pair(c_Datatype__Universe_OIn0(X9,X1,X2),c_Datatype__Universe_OIn0(X10,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),c_Datatype__Universe_Odsum(X5,X6,X1,X2),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_Odsum__In0I_0) ).
fof(f5141,plain,
spl0_616,
inference(avatar_split_clause,[],[f5,f5139]) ).
fof(f5,axiom,
! [X2,X1,X6,X4,X5] :
( ~ c_in(X4,c_Datatype__Universe_Odprod(X5,X6,X1,X2),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| c_in(c_Pair(c_Main_OdprodE__1(X4,X5,X6,X1,X2),c_Main_OdprodE__3(X4,X5,X6,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X5,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OdprodE_2) ).
fof(f5137,plain,
spl0_615,
inference(avatar_split_clause,[],[f4,f5135]) ).
fof(f4,axiom,
! [X2,X1,X6,X4,X5] :
( ~ c_in(X4,c_Datatype__Universe_Odprod(X5,X6,X1,X2),tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))))
| c_in(c_Pair(c_Main_OdprodE__2(X4,X5,X6,X1,X2),c_Main_OdprodE__4(X4,X5,X6,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2))),X6,tc_prod(tc_set(tc_Datatype__Universe_Onode(X1,X2)),tc_set(tc_Datatype__Universe_Onode(X1,X2)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OdprodE_1) ).
fof(f5119,plain,
( spl0_614
| ~ spl0_418
| ~ spl0_603 ),
inference(avatar_split_clause,[],[f5057,f4949,f3533,f5116]) ).
fof(f3533,plain,
( spl0_418
<=> ! [X54,X55] :
( c_in(c_Message_Omsg_OKey(X54),X55,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(X54),c_Message_Osynth(X55),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_418])]) ).
fof(f4949,plain,
( spl0_603
<=> c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Osynth(v_G),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_603])]) ).
fof(f5057,plain,
( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),v_G,tc_Message_Omsg)
| ~ spl0_418
| ~ spl0_603 ),
inference(resolution,[],[f4951,f3534]) ).
fof(f3534,plain,
( ! [X54,X55] :
( ~ c_in(c_Message_Omsg_OKey(X54),c_Message_Osynth(X55),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(X54),X55,tc_Message_Omsg) )
| ~ spl0_418 ),
inference(avatar_component_clause,[],[f3533]) ).
fof(f4951,plain,
( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Osynth(v_G),tc_Message_Omsg)
| ~ spl0_603 ),
inference(avatar_component_clause,[],[f4949]) ).
fof(f5114,plain,
spl0_613,
inference(avatar_split_clause,[],[f54,f5112]) ).
fof(f54,axiom,
! [X3,X1,X5,X25,X23] :
( ~ c_in(c_Pair(X23,c_List_Olist_OCons(X3,X25,X1),tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))
| c_in(c_Pair(c_Main_Olistrel__Cons2__2(X5,X23,X3,X25,X1),X25,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olistrel__Cons2_1) ).
fof(f5110,plain,
spl0_612,
inference(avatar_split_clause,[],[f51,f5108]) ).
fof(f51,axiom,
! [X3,X1,X5,X25,X23] :
( ~ c_in(c_Pair(c_List_Olist_OCons(X3,X25,X1),X23,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1)))
| c_in(c_Pair(X25,c_Main_Olistrel__Cons1__2(X5,X23,X3,X25,X1),tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olistrel__Cons1_1) ).
fof(f5072,plain,
spl0_611,
inference(avatar_split_clause,[],[f85,f5070]) ).
fof(f85,axiom,
! [X2,X31,X18,X1,X6,X27,X4,X5] :
( ~ c_in(c_Pair(X27,X4,X2,X31),X5,tc_prod(X2,X31))
| ~ c_in(c_Pair(X18,X27,X1,X2),X6,tc_prod(X1,X2))
| c_in(c_Pair(X18,X4,X1,X31),c_Relation_Orel__comp(X5,X6,X2,X31,X1),tc_prod(X1,X31)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_Orel__compI_0) ).
fof(f5068,plain,
spl0_610,
inference(avatar_split_clause,[],[f53,f5066]) ).
fof(f53,axiom,
! [X3,X1,X5,X25,X23] :
( c_List_Olist_OCons(c_Main_Olistrel__Cons2__1(X5,X23,X3,X25,X1),c_Main_Olistrel__Cons2__2(X5,X23,X3,X25,X1),X1) = X23
| ~ c_in(c_Pair(X23,c_List_Olist_OCons(X3,X25,X1),tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olistrel__Cons2_0) ).
fof(f5064,plain,
spl0_609,
inference(avatar_split_clause,[],[f50,f5062]) ).
fof(f50,axiom,
! [X3,X1,X5,X25,X23] :
( c_List_Olist_OCons(c_Main_Olistrel__Cons1__1(X5,X23,X3,X25,X1),c_Main_Olistrel__Cons1__2(X5,X23,X3,X25,X1),X1) = X23
| ~ c_in(c_Pair(c_List_Olist_OCons(X3,X25,X1),X23,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olistrel__Cons1_0) ).
fof(f5056,plain,
spl0_608,
inference(avatar_split_clause,[],[f55,f5054]) ).
fof(f55,axiom,
! [X3,X1,X5,X25,X23] :
( c_in(c_Pair(c_Main_Olistrel__Cons2__1(X5,X23,X3,X25,X1),X3,X1,X1),X5,tc_prod(X1,X1))
| ~ c_in(c_Pair(X23,c_List_Olist_OCons(X3,X25,X1),tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olistrel__Cons2_2) ).
fof(f5052,plain,
spl0_607,
inference(avatar_split_clause,[],[f52,f5050]) ).
fof(f52,axiom,
! [X3,X1,X5,X25,X23] :
( c_in(c_Pair(X3,c_Main_Olistrel__Cons1__1(X5,X23,X3,X25,X1),X1,X1),X5,tc_prod(X1,X1))
| ~ c_in(c_Pair(c_List_Olist_OCons(X3,X25,X1),X23,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olistrel__Cons1_2) ).
fof(f4980,plain,
spl0_606,
inference(avatar_split_clause,[],[f83,f4978]) ).
fof(f83,axiom,
! [X31,X2,X1,X6,X5,X30] :
( ~ c_in(X30,c_Relation_Orel__comp(X5,X6,X31,X2,X1),tc_prod(X1,X2))
| c_in(c_Pair(c_Main_Orel__compE__1(X5,X6,X30,X31,X2,X1),c_Main_Orel__compE__2(X5,X6,X30,X31,X2,X1),X1,X31),X6,tc_prod(X1,X31)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_Orel__compE_1) ).
fof(f4976,plain,
spl0_605,
inference(avatar_split_clause,[],[f82,f4974]) ).
fof(f82,axiom,
! [X31,X2,X1,X6,X5,X30] :
( ~ c_in(X30,c_Relation_Orel__comp(X5,X6,X31,X2,X1),tc_prod(X1,X2))
| c_in(c_Pair(c_Main_Orel__compE__2(X5,X6,X30,X31,X2,X1),c_Main_Orel__compE__3(X5,X6,X30,X31,X2,X1),X31,X2),X5,tc_prod(X31,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_Orel__compE_0) ).
fof(f4972,plain,
spl0_604,
inference(avatar_split_clause,[],[f20,f4970]) ).
fof(f20,axiom,
! [X2,X1,X14,X12,X13] :
( ~ c_in(X14,c_Datatype__Universe_Ousum(X12,X13,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| c_in(c_Main_OusumE__2(X13,X14,X1,X2),X13,tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| c_in(c_Main_OusumE__1(X12,X14,X1,X2),X12,tc_set(tc_Datatype__Universe_Onode(X1,X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OusumE_3) ).
fof(f4952,plain,
( spl0_602
| spl0_603
| ~ spl0_61
| ~ spl0_515 ),
inference(avatar_split_clause,[],[f4165,f4097,f1705,f4949,f4945]) ).
fof(f1705,plain,
( spl0_61
<=> c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f4165,plain,
( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Osynth(v_G),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| ~ spl0_61
| ~ spl0_515 ),
inference(resolution,[],[f4098,f1707]) ).
fof(f1707,plain,
( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg)
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f1705]) ).
fof(f4943,plain,
spl0_601,
inference(avatar_split_clause,[],[f19,f4941]) ).
fof(f19,axiom,
! [X2,X1,X14,X12,X13] :
( c_Datatype__Universe_OIn1(c_Main_OusumE__2(X13,X14,X1,X2),X1,X2) = X14
| ~ c_in(X14,c_Datatype__Universe_Ousum(X12,X13,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| c_in(c_Main_OusumE__1(X12,X14,X1,X2),X12,tc_set(tc_Datatype__Universe_Onode(X1,X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OusumE_2) ).
fof(f4939,plain,
spl0_600,
inference(avatar_split_clause,[],[f18,f4937]) ).
fof(f18,axiom,
! [X2,X1,X14,X12,X13] :
( c_Datatype__Universe_OIn0(c_Main_OusumE__1(X12,X14,X1,X2),X1,X2) = X14
| ~ c_in(X14,c_Datatype__Universe_Ousum(X12,X13,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| c_in(c_Main_OusumE__2(X13,X14,X1,X2),X13,tc_set(tc_Datatype__Universe_Onode(X1,X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OusumE_1) ).
fof(f4927,plain,
spl0_599,
inference(avatar_split_clause,[],[f17,f4925]) ).
fof(f17,axiom,
! [X2,X1,X14,X12,X13] :
( c_Datatype__Universe_OIn1(c_Main_OusumE__2(X13,X14,X1,X2),X1,X2) = X14
| c_Datatype__Universe_OIn0(c_Main_OusumE__1(X12,X14,X1,X2),X1,X2) = X14
| ~ c_in(X14,c_Datatype__Universe_Ousum(X12,X13,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OusumE_0) ).
fof(f4915,plain,
spl0_598,
inference(avatar_split_clause,[],[f115,f4913]) ).
fof(f115,axiom,
! [X2,X1,X14,X12,X13] :
( ~ c_in(X14,c_Sum__Type_OPlus(X12,X13,X1,X2),tc_sum(X1,X2))
| c_Sum__Type_OInr(c_Main_OPlusE__2(X13,X14,X2,X1),X2,X1) = X14
| c_Sum__Type_OInl(c_Main_OPlusE__1(X12,X14,X1,X2),X1,X2) = X14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Sum__Type_OPlusE_0) ).
fof(f4911,plain,
spl0_597,
inference(avatar_split_clause,[],[f84,f4909]) ).
fof(f84,axiom,
! [X31,X2,X1,X6,X5,X30] :
( ~ c_in(X30,c_Relation_Orel__comp(X5,X6,X31,X2,X1),tc_prod(X1,X2))
| c_Pair(c_Main_Orel__compE__1(X5,X6,X30,X31,X2,X1),c_Main_Orel__compE__3(X5,X6,X30,X31,X2,X1),X1,X2) = X30 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_Orel__compE_2) ).
fof(f4905,plain,
spl0_596,
inference(avatar_split_clause,[],[f16,f4903]) ).
fof(f16,axiom,
! [X2,X1,X9,X7,X12,X13] :
( ~ c_in(X7,X13,tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| ~ c_in(X9,X12,tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| c_in(c_Datatype__Universe_OScons(X9,X7,X1,X2),c_Datatype__Universe_Ouprod(X12,X13,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OuprodI_0) ).
fof(f4889,plain,
spl0_595,
inference(avatar_split_clause,[],[f117,f4887]) ).
fof(f117,axiom,
! [X2,X1,X14,X12,X13] :
( c_in(c_Main_OPlusE__1(X12,X14,X1,X2),X12,X1)
| ~ c_in(X14,c_Sum__Type_OPlus(X12,X13,X1,X2),tc_sum(X1,X2))
| c_Sum__Type_OInr(c_Main_OPlusE__2(X13,X14,X2,X1),X2,X1) = X14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Sum__Type_OPlusE_2) ).
fof(f4885,plain,
spl0_594,
inference(avatar_split_clause,[],[f116,f4883]) ).
fof(f116,axiom,
! [X2,X1,X14,X12,X13] :
( c_in(c_Main_OPlusE__2(X13,X14,X2,X1),X13,X2)
| ~ c_in(X14,c_Sum__Type_OPlus(X12,X13,X1,X2),tc_sum(X1,X2))
| c_Sum__Type_OInl(c_Main_OPlusE__1(X12,X14,X1,X2),X1,X2) = X14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Sum__Type_OPlusE_1) ).
fof(f4881,plain,
spl0_593,
inference(avatar_split_clause,[],[f13,f4879]) ).
fof(f13,axiom,
! [X2,X1,X4,X12,X13] :
( ~ c_in(X4,c_Datatype__Universe_Ouprod(X12,X13,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| c_Datatype__Universe_OScons(c_Main_OuprodE__1(X12,X13,X4,X1,X2),c_Main_OuprodE__2(X12,X13,X4,X1,X2),X1,X2) = X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OuprodE_0) ).
fof(f4842,plain,
spl0_592,
inference(avatar_split_clause,[],[f1355,f4840]) ).
fof(f1355,axiom,
! [X3,X0,X1,X5] :
( ~ c_Wellfounded__Recursion_Owf(X5,X1)
| c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X3,X0,X1,X1),X5,tc_prod(X1,X1)),X1)
| c_in(c_Pair(X0,X3,X1,X1),c_Transitive__Closure_Ortrancl(X5,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Owf__insert__iff2_0) ).
fof(f4837,plain,
spl0_591,
inference(avatar_split_clause,[],[f1352,f4835]) ).
fof(f1352,axiom,
! [X3,X0,X1,X5] :
( ~ c_Wellfounded__Recursion_Oacyclic(X5,X1)
| c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X3,X0,X1,X1),X5,tc_prod(X1,X1)),X1)
| c_in(c_Pair(X0,X3,X1,X1),c_Transitive__Closure_Ortrancl(X5,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Oacyclic__insert__iff2_0) ).
fof(f4833,plain,
spl0_590,
inference(avatar_split_clause,[],[f77,f4831]) ).
fof(f77,axiom,
! [X2,X29,X1,X5] :
( ~ c_in(X29,c_Relation_Oconverse(X5,X2,X1),tc_prod(X1,X2))
| c_in(c_Pair(c_Main_OconverseE__1(X5,X29,X2,X1),c_Main_OconverseE__2(X5,X29,X2,X1),X2,X1),X5,tc_prod(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_OconverseE_0) ).
fof(f4826,plain,
spl0_589,
inference(avatar_split_clause,[],[f118,f4824]) ).
fof(f118,axiom,
! [X2,X1,X14,X12,X13] :
( c_in(c_Main_OPlusE__2(X13,X14,X2,X1),X13,X2)
| c_in(c_Main_OPlusE__1(X12,X14,X1,X2),X12,X1)
| ~ c_in(X14,c_Sum__Type_OPlus(X12,X13,X1,X2),tc_sum(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Sum__Type_OPlusE_3) ).
fof(f4808,plain,
spl0_588,
inference(avatar_split_clause,[],[f1354,f4806]) ).
fof(f4806,plain,
( spl0_588
<=> ! [X3,X0,X5,X1] :
( ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X3,X0,X1,X1),X5,tc_prod(X1,X1)),X1)
| ~ c_in(c_Pair(X0,X3,X1,X1),c_Transitive__Closure_Ortrancl(X5,X1),tc_prod(X1,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_588])]) ).
fof(f1354,axiom,
! [X3,X0,X1,X5] :
( ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X3,X0,X1,X1),X5,tc_prod(X1,X1)),X1)
| ~ c_in(c_Pair(X0,X3,X1,X1),c_Transitive__Closure_Ortrancl(X5,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Owf__insert__iff1_1) ).
fof(f4804,plain,
spl0_587,
inference(avatar_split_clause,[],[f1351,f4802]) ).
fof(f4802,plain,
( spl0_587
<=> ! [X3,X0,X5,X1] :
( ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X3,X0,X1,X1),X5,tc_prod(X1,X1)),X1)
| ~ c_in(c_Pair(X0,X3,X1,X1),c_Transitive__Closure_Ortrancl(X5,X1),tc_prod(X1,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_587])]) ).
fof(f1351,axiom,
! [X3,X0,X1,X5] :
( ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X3,X0,X1,X1),X5,tc_prod(X1,X1)),X1)
| ~ c_in(c_Pair(X0,X3,X1,X1),c_Transitive__Closure_Ortrancl(X5,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Oacyclic__insert__iff1_1) ).
fof(f4800,plain,
spl0_586,
inference(avatar_split_clause,[],[f1221,f4798]) ).
fof(f1221,axiom,
! [X1,X25,X12,X23] :
( ~ c_in(X25,c_List_Olists(X12,X1),tc_List_Olist(X1))
| ~ c_in(X23,c_List_Olists(X12,X1),tc_List_Olist(X1))
| c_in(c_append(X23,X25,X1),c_List_Olists(X12,X1),tc_List_Olist(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oappend__in__lists__conv__iff2_0) ).
fof(f4796,plain,
spl0_585,
inference(avatar_split_clause,[],[f122,f4794]) ).
fof(f122,axiom,
! [X18,X1,X27,X5] :
( ~ c_in(c_Pair(X18,X27,X1,X1),c_Transitive__Closure_Otrancl(X5,X1),tc_prod(X1,X1))
| c_in(c_Pair(X18,X27,X1,X1),c_Transitive__Closure_Ortrancl(X5,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Transitive__Closure_Otrancl__into__rtrancl_0) ).
fof(f4792,plain,
spl0_584,
inference(avatar_split_clause,[],[f78,f4790]) ).
fof(f78,axiom,
! [X2,X29,X1,X5] :
( ~ c_in(X29,c_Relation_Oconverse(X5,X2,X1),tc_prod(X1,X2))
| c_Pair(c_Main_OconverseE__2(X5,X29,X2,X1),c_Main_OconverseE__1(X5,X29,X2,X1),X1,X2) = X29 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_OconverseE_1) ).
fof(f4713,plain,
spl0_583,
inference(avatar_split_clause,[],[f1289,f4711]) ).
fof(f1289,axiom,
! [X2,X18,X1,X27,X5] :
( ~ c_in(c_Pair(X27,X18,X2,X1),X5,tc_prod(X2,X1))
| c_in(c_Pair(X18,X27,X1,X2),c_Relation_Oconverse(X5,X2,X1),tc_prod(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_Oconverse__iff__iff2_0) ).
fof(f4709,plain,
( spl0_425
| spl0_549
| ~ spl0_522
| ~ spl0_554 ),
inference(avatar_split_clause,[],[f4476,f4437,f4215,f4414,f3567]) ).
fof(f3567,plain,
( spl0_425
<=> c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_425])]) ).
fof(f4437,plain,
( spl0_554
<=> ! [X54,X53,X55] :
( c_in(X53,c_Message_Osynth(X55),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X54,X53),X55,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X54,X53),c_Message_Osynth(X55),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_554])]) ).
fof(f4476,plain,
( c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_G,tc_Message_Omsg)
| c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg)
| ~ spl0_522
| ~ spl0_554 ),
inference(resolution,[],[f4438,f4217]) ).
fof(f4438,plain,
( ! [X54,X55,X53] :
( ~ c_in(c_Message_Omsg_OCrypt(X54,X53),c_Message_Osynth(X55),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X54,X53),X55,tc_Message_Omsg)
| c_in(X53,c_Message_Osynth(X55),tc_Message_Omsg) )
| ~ spl0_554 ),
inference(avatar_component_clause,[],[f4437]) ).
fof(f4708,plain,
spl0_582,
inference(avatar_split_clause,[],[f1288,f4706]) ).
fof(f1288,axiom,
! [X2,X18,X1,X27,X5] :
( c_in(c_Pair(X27,X18,X2,X1),X5,tc_prod(X2,X1))
| ~ c_in(c_Pair(X18,X27,X1,X2),c_Relation_Oconverse(X5,X2,X1),tc_prod(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_Oconverse__iff__iff1_0) ).
fof(f4704,plain,
spl0_581,
inference(avatar_split_clause,[],[f73,f4702]) ).
fof(f73,axiom,
! [X2,X1,X27,X5,X12] :
( ~ c_in(X27,c_Relation_OImage(X5,X12,X2,X1),X1)
| c_in(c_Pair(c_Main_OImageE__1(X12,X27,X5,X2,X1),X27,X2,X1),X5,tc_prod(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_OImageE_1) ).
fof(f4700,plain,
spl0_580,
inference(avatar_split_clause,[],[f15,f4698]) ).
fof(f15,axiom,
! [X2,X1,X4,X12,X13] :
( ~ c_in(X4,c_Datatype__Universe_Ouprod(X12,X13,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| c_in(c_Main_OuprodE__1(X12,X13,X4,X1,X2),X12,tc_set(tc_Datatype__Universe_Onode(X1,X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OuprodE_2) ).
fof(f4696,plain,
spl0_579,
inference(avatar_split_clause,[],[f14,f4694]) ).
fof(f14,axiom,
! [X2,X1,X4,X12,X13] :
( ~ c_in(X4,c_Datatype__Universe_Ouprod(X12,X13,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| c_in(c_Main_OuprodE__2(X12,X13,X4,X1,X2),X13,tc_set(tc_Datatype__Universe_Onode(X1,X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OuprodE_1) ).
fof(f4666,plain,
spl0_578,
inference(avatar_split_clause,[],[f121,f4664]) ).
fof(f121,axiom,
! [X18,X1,X27,X5] :
( ~ c_in(c_Pair(X18,X27,X1,X1),X5,tc_prod(X1,X1))
| c_in(c_Pair(X18,X27,X1,X1),c_Transitive__Closure_Otrancl(X5,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Transitive__Closure_Otrancl_Or__into__trancl_0) ).
fof(f4662,plain,
spl0_577,
inference(avatar_split_clause,[],[f74,f4660]) ).
fof(f74,axiom,
! [X2,X18,X1,X27,X5,X12] :
( ~ c_in(X18,X12,X1)
| c_in(X27,c_Relation_OImage(X5,X12,X1,X2),X2)
| ~ c_in(c_Pair(X18,X27,X1,X2),X5,tc_prod(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_OImageI_0) ).
fof(f4584,plain,
spl0_576,
inference(avatar_split_clause,[],[f1287,f4582]) ).
fof(f1287,axiom,
! [X2,X18,X1,X27,X5] :
( ~ c_in(c_Pair(X18,X27,X2,X1),X5,tc_prod(X2,X1))
| c_in(X27,c_Relation_OImage(X5,c_insert(X18,c_emptyset,X2),X2,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_OImage__singleton__iff__iff2_0) ).
fof(f4580,plain,
spl0_575,
inference(avatar_split_clause,[],[f1286,f4578]) ).
fof(f1286,axiom,
! [X2,X18,X1,X27,X5] :
( c_in(c_Pair(X18,X27,X2,X1),X5,tc_prod(X2,X1))
| ~ c_in(X27,c_Relation_OImage(X5,c_insert(X18,c_emptyset,X2),X2,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_OImage__singleton__iff__iff1_0) ).
fof(f4576,plain,
( spl0_574
| spl0_549
| ~ spl0_522
| ~ spl0_553 ),
inference(avatar_split_clause,[],[f4473,f4433,f4215,f4414,f4573]) ).
fof(f4433,plain,
( spl0_553
<=> ! [X54,X53,X55] :
( c_in(c_Message_Omsg_OKey(X54),X55,tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X54,X53),X55,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X54,X53),c_Message_Osynth(X55),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_553])]) ).
fof(f4473,plain,
( c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_G,tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(v_K),v_G,tc_Message_Omsg)
| ~ spl0_522
| ~ spl0_553 ),
inference(resolution,[],[f4434,f4217]) ).
fof(f4434,plain,
( ! [X54,X55,X53] :
( ~ c_in(c_Message_Omsg_OCrypt(X54,X53),c_Message_Osynth(X55),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X54,X53),X55,tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(X54),X55,tc_Message_Omsg) )
| ~ spl0_553 ),
inference(avatar_component_clause,[],[f4433]) ).
fof(f4571,plain,
spl0_573,
inference(avatar_split_clause,[],[f1191,f4569]) ).
fof(f4569,plain,
( spl0_573
<=> ! [X18,X13,X12,X1] :
( ~ c_in(c_minus(X12,X13,tc_set(X1)),c_Finite__Set_OFinites,tc_set(X1))
| c_in(c_minus(X12,c_insert(X18,X13,X1),tc_set(X1)),c_Finite__Set_OFinites,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_573])]) ).
fof(f1191,axiom,
! [X1,X18,X12,X13] :
( ~ c_in(c_minus(X12,X13,tc_set(X1)),c_Finite__Set_OFinites,tc_set(X1))
| c_in(c_minus(X12,c_insert(X18,X13,X1),tc_set(X1)),c_Finite__Set_OFinites,tc_set(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Diff__insert__iff2_0) ).
fof(f4567,plain,
spl0_572,
inference(avatar_split_clause,[],[f1190,f4565]) ).
fof(f4565,plain,
( spl0_572
<=> ! [X18,X13,X12,X1] :
( c_in(c_minus(X12,X13,tc_set(X1)),c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(c_minus(X12,c_insert(X18,X13,X1),tc_set(X1)),c_Finite__Set_OFinites,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_572])]) ).
fof(f1190,axiom,
! [X1,X18,X12,X13] :
( c_in(c_minus(X12,X13,tc_set(X1)),c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(c_minus(X12,c_insert(X18,X13,X1),tc_set(X1)),c_Finite__Set_OFinites,tc_set(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Diff__insert__iff1_0) ).
fof(f4563,plain,
spl0_571,
inference(avatar_split_clause,[],[f79,f4561]) ).
fof(f79,axiom,
! [X1,X4,X12] :
( ~ c_in(X4,c_Relation_Odiag(X12,X1),tc_prod(X1,X1))
| c_Pair(c_Main_OdiagE__1(X12,X4,X1),c_Main_OdiagE__1(X12,X4,X1),X1,X1) = X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_OdiagE_0) ).
fof(f4559,plain,
spl0_570,
inference(avatar_split_clause,[],[f75,f4557]) ).
fof(f75,axiom,
! [X2,X1,X27,X5] :
( ~ c_in(X27,c_Relation_ORange(X5,X2,X1),X1)
| c_in(c_Pair(c_Main_ORangeE__1(X27,X5,X1,X2),X27,X2,X1),X5,tc_prod(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_ORangeE_0) ).
fof(f4555,plain,
spl0_569,
inference(avatar_split_clause,[],[f69,f4553]) ).
fof(f69,axiom,
! [X2,X18,X1,X5] :
( ~ c_in(X18,c_Relation_ODomain(X5,X1,X2),X1)
| c_in(c_Pair(X18,c_Main_ODomainE__1(X18,X5,X1,X2),X1,X2),X5,tc_prod(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_ODomainE_0) ).
fof(f4551,plain,
spl0_568,
inference(avatar_split_clause,[],[f60,f4549]) ).
fof(f60,axiom,
! [X18,X1,X26,X12] :
( ~ c_in(X18,X12,X1)
| ~ c_in(X26,c_List_Olists(X12,X1),tc_List_Olist(X1))
| c_in(c_List_Olist_OCons(X18,X26,X1),c_List_Olists(X12,X1),tc_List_Olist(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olists_OCons_0) ).
fof(f4547,plain,
spl0_567,
inference(avatar_split_clause,[],[f22,f4545]) ).
fof(f22,axiom,
! [X2,X1,X7,X12,X13] :
( ~ c_in(X7,X13,tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| c_in(c_Datatype__Universe_OIn1(X7,X1,X2),c_Datatype__Universe_Ousum(X12,X13,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_Ousum__In1I_0) ).
fof(f4543,plain,
spl0_566,
inference(avatar_split_clause,[],[f21,f4541]) ).
fof(f21,axiom,
! [X2,X1,X9,X12,X13] :
( ~ c_in(X9,X12,tc_set(tc_Datatype__Universe_Onode(X1,X2)))
| c_in(c_Datatype__Universe_OIn0(X9,X1,X2),c_Datatype__Universe_Ousum(X12,X13,X1,X2),tc_set(tc_Datatype__Universe_Onode(X1,X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_Ousum__In0I_0) ).
fof(f4518,plain,
spl0_565,
inference(avatar_split_clause,[],[f33,f4516]) ).
fof(f4516,plain,
( spl0_565
<=> ! [X12,X1] :
( ~ c_in(X12,c_Finite__Set_OFinites,tc_set(tc_set(X1)))
| ~ c_in(c_Main_Ofinite__Union__1(X12,X1),c_Finite__Set_OFinites,tc_set(X1))
| c_in(c_Union(X12,X1),c_Finite__Set_OFinites,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_565])]) ).
fof(f33,axiom,
! [X1,X12] :
( ~ c_in(X12,c_Finite__Set_OFinites,tc_set(tc_set(X1)))
| ~ c_in(c_Main_Ofinite__Union__1(X12,X1),c_Finite__Set_OFinites,tc_set(X1))
| c_in(c_Union(X12,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Union_1) ).
fof(f4514,plain,
spl0_564,
inference(avatar_split_clause,[],[f32,f4512]) ).
fof(f32,axiom,
! [X1,X12] :
( ~ c_in(X12,c_Finite__Set_OFinites,tc_set(tc_set(X1)))
| c_in(c_Main_Ofinite__Union__1(X12,X1),X12,tc_set(X1))
| c_in(c_Union(X12,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Union_0) ).
fof(f4507,plain,
spl0_563,
inference(avatar_split_clause,[],[f1376,f4505]) ).
fof(f1376,axiom,
! [X54,X55,X53] :
( c_in(X53,c_Message_Oanalz(X55),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X54)),c_Message_Oanalz(X55),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X54,X53),c_Message_Oanalz(X55),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz_ODecrypt__dest_0) ).
fof(f4503,plain,
spl0_562,
inference(avatar_split_clause,[],[f1242,f4501]) ).
fof(f1242,axiom,
! [X3,X1,X25,X23] :
( c_List_Olist_OCons(X3,X25,X1) != c_List_Orev(X23,X1)
| c_append(c_List_Orev(X25,X1),c_List_Olist_OCons(X3,c_List_Olist_ONil,X1),X1) = X23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Orev__eq__Cons__iff__iff1_0) ).
fof(f4499,plain,
spl0_561,
inference(avatar_split_clause,[],[f57,f4497]) ).
fof(f57,axiom,
! [X1,X5,X23] :
( c_List_Olist_ONil = X23
| ~ c_in(c_Pair(X23,c_List_Olist_ONil,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olistrel__Nil2_0) ).
fof(f4495,plain,
spl0_560,
inference(avatar_split_clause,[],[f56,f4493]) ).
fof(f56,axiom,
! [X1,X5,X23] :
( c_List_Olist_ONil = X23
| ~ c_in(c_Pair(c_List_Olist_ONil,X23,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olistrel(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olistrel__Nil1_0) ).
fof(f4460,plain,
spl0_559,
inference(avatar_split_clause,[],[f1400,f4458]) ).
fof(f1400,axiom,
! [X1,X12,X32,X13] :
( ~ c_lessequals(X13,X32,tc_set(X1))
| ~ c_lessequals(X12,X32,tc_set(X1))
| c_lessequals(c_union(X12,X13,X1),X32,tc_set(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__least_0) ).
fof(f4456,plain,
( ~ spl0_558
| ~ spl0_415
| spl0_543 ),
inference(avatar_split_clause,[],[f4378,f4325,f3521,f4453]) ).
fof(f4453,plain,
( spl0_558
<=> c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_H,tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_558])]) ).
fof(f4378,plain,
( ~ c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_H,tc_Message_Omsg)
| ~ spl0_415
| spl0_543 ),
inference(resolution,[],[f4327,f3522]) ).
fof(f4327,plain,
( ~ c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg)
| spl0_543 ),
inference(avatar_component_clause,[],[f4325]) ).
fof(f4451,plain,
spl0_557,
inference(avatar_split_clause,[],[f1379,f4449]) ).
fof(f1379,axiom,
! [X55,X4,X20] :
( c_in(X4,c_Message_Oparts(X20),tc_Message_Omsg)
| c_in(X4,c_Message_Oparts(X55),tc_Message_Omsg)
| ~ c_in(X4,c_Message_Oparts(c_union(X20,X55,tc_Message_Omsg)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oin__parts__UnE_0) ).
fof(f4447,plain,
spl0_556,
inference(avatar_split_clause,[],[f1367,f4445]) ).
fof(f4445,plain,
( spl0_556
<=> ! [X53,X55,X56] :
( c_in(X53,c_Message_Osynth(X55),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(X53,X56),X55,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X53,X56),c_Message_Osynth(X55),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_556])]) ).
fof(f1367,axiom,
! [X56,X55,X53] :
( c_in(X53,c_Message_Osynth(X55),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(X53,X56),X55,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X53,X56),c_Message_Osynth(X55),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__synth_1) ).
fof(f4443,plain,
spl0_555,
inference(avatar_split_clause,[],[f1366,f4441]) ).
fof(f4441,plain,
( spl0_555
<=> ! [X53,X55,X56] :
( c_in(X56,c_Message_Osynth(X55),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(X53,X56),X55,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X53,X56),c_Message_Osynth(X55),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_555])]) ).
fof(f1366,axiom,
! [X56,X55,X53] :
( c_in(X56,c_Message_Osynth(X55),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(X53,X56),X55,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X53,X56),c_Message_Osynth(X55),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__synth_0) ).
fof(f4439,plain,
spl0_554,
inference(avatar_split_clause,[],[f1359,f4437]) ).
fof(f1359,axiom,
! [X54,X55,X53] :
( c_in(X53,c_Message_Osynth(X55),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X54,X53),X55,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X54,X53),c_Message_Osynth(X55),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OCrypt__synth_1) ).
fof(f4435,plain,
spl0_553,
inference(avatar_split_clause,[],[f1358,f4433]) ).
fof(f1358,axiom,
! [X54,X55,X53] :
( c_in(c_Message_Omsg_OKey(X54),X55,tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X54,X53),X55,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X54,X53),c_Message_Osynth(X55),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OCrypt__synth_0) ).
fof(f4431,plain,
spl0_552,
inference(avatar_split_clause,[],[f1218,f4429]) ).
fof(f1218,axiom,
! [X3,X0,X1,X25,X23] :
( X0 = X3
| c_append(X23,c_List_Olist_OCons(X0,c_List_Olist_ONil,X1),X1) != c_append(X25,c_List_Olist_OCons(X3,c_List_Olist_ONil,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oappend1__eq__conv__iff1_1) ).
fof(f4427,plain,
spl0_551,
inference(avatar_split_clause,[],[f1217,f4425]) ).
fof(f1217,axiom,
! [X3,X0,X1,X25,X23] :
( X23 = X25
| c_append(X23,c_List_Olist_OCons(X0,c_List_Olist_ONil,X1),X1) != c_append(X25,c_List_Olist_OCons(X3,c_List_Olist_ONil,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oappend1__eq__conv__iff1_0) ).
fof(f4423,plain,
spl0_550,
inference(avatar_split_clause,[],[f1196,f4421]) ).
fof(f4421,plain,
( spl0_550
<=> ! [X20,X1,X19] :
( ~ c_in(X20,c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(X19,c_Finite__Set_OFinites,tc_set(X1))
| c_in(c_union(X19,X20,X1),c_Finite__Set_OFinites,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_550])]) ).
fof(f1196,axiom,
! [X1,X19,X20] :
( ~ c_in(X20,c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(X19,c_Finite__Set_OFinites,tc_set(X1))
| c_in(c_union(X19,X20,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Un__iff2_0) ).
fof(f4417,plain,
( ~ spl0_549
| ~ spl0_416
| spl0_543 ),
inference(avatar_split_clause,[],[f4377,f4325,f3525,f4414]) ).
fof(f4377,plain,
( ~ c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_G,tc_Message_Omsg)
| ~ spl0_416
| spl0_543 ),
inference(resolution,[],[f4327,f3526]) ).
fof(f4348,plain,
spl0_548,
inference(avatar_split_clause,[],[f1396,f4346]) ).
fof(f1396,axiom,
! [X56,X55,X53] :
( ~ c_in(X56,c_Message_Osynth(X55),tc_Message_Omsg)
| ~ c_in(X53,c_Message_Osynth(X55),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(X53,X56),c_Message_Osynth(X55),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Osynth_OMPair_0) ).
fof(f4344,plain,
spl0_547,
inference(avatar_split_clause,[],[f1393,f4342]) ).
fof(f1393,axiom,
! [X54,X55,X53] :
( ~ c_in(X53,c_Message_Osynth(X55),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(X54),X55,tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X54,X53),c_Message_Osynth(X55),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Osynth_OCrypt_0) ).
fof(f4340,plain,
spl0_546,
inference(avatar_split_clause,[],[f1343,f4338]) ).
fof(f1343,axiom,
! [X0,X1,X12] :
( ~ c_lessequals(X12,c_insert(X0,c_emptyset,X1),tc_set(X1))
| c_insert(X0,c_emptyset,X1) = c_insert(X0,X12,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osingleton__insert__inj__eq__iff2_0) ).
fof(f4336,plain,
spl0_545,
inference(avatar_split_clause,[],[f1339,f4334]) ).
fof(f4334,plain,
( spl0_545
<=> ! [X12,X27,X1,X18] :
( c_lessequals(X12,c_insert(X27,c_emptyset,X1),tc_set(X1))
| c_insert(X18,X12,X1) != c_insert(X27,c_emptyset,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_545])]) ).
fof(f1339,axiom,
! [X1,X18,X27,X12] :
( c_lessequals(X12,c_insert(X27,c_emptyset,X1),tc_set(X1))
| c_insert(X18,X12,X1) != c_insert(X27,c_emptyset,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osingleton__insert__inj__eq_H__iff1_1) ).
fof(f4332,plain,
spl0_544,
inference(avatar_split_clause,[],[f1220,f4330]) ).
fof(f4330,plain,
( spl0_544
<=> ! [X12,X1,X23,X25] :
( c_in(X25,c_List_Olists(X12,X1),tc_List_Olist(X1))
| ~ c_in(c_append(X23,X25,X1),c_List_Olists(X12,X1),tc_List_Olist(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_544])]) ).
fof(f1220,axiom,
! [X1,X25,X12,X23] :
( c_in(X25,c_List_Olists(X12,X1),tc_List_Olist(X1))
| ~ c_in(c_append(X23,X25,X1),c_List_Olists(X12,X1),tc_List_Olist(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oappend__in__lists__conv__iff1_1) ).
fof(f4328,plain,
( ~ spl0_543
| ~ spl0_377
| spl0_521 ),
inference(avatar_split_clause,[],[f4283,f4211,f3317,f4325]) ).
fof(f4283,plain,
( ~ c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg)
| ~ spl0_377
| spl0_521 ),
inference(resolution,[],[f4212,f3318]) ).
fof(f4212,plain,
( ~ c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| spl0_521 ),
inference(avatar_component_clause,[],[f4211]) ).
fof(f4323,plain,
spl0_542,
inference(avatar_split_clause,[],[f1219,f4321]) ).
fof(f4321,plain,
( spl0_542
<=> ! [X23,X12,X25,X1] :
( c_in(X23,c_List_Olists(X12,X1),tc_List_Olist(X1))
| ~ c_in(c_append(X23,X25,X1),c_List_Olists(X12,X1),tc_List_Olist(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_542])]) ).
fof(f1219,axiom,
! [X1,X12,X23,X25] :
( c_in(X23,c_List_Olists(X12,X1),tc_List_Olist(X1))
| ~ c_in(c_append(X23,X25,X1),c_List_Olists(X12,X1),tc_List_Olist(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oappend__in__lists__conv__iff1_0) ).
fof(f4319,plain,
spl0_541,
inference(avatar_split_clause,[],[f1201,f4317]) ).
fof(f1201,axiom,
! [X21,X16,X15] :
( ~ c_Divides_Oop_Advd(X16,X21,tc_nat)
| ~ c_Divides_Oop_Advd(X16,X15,tc_nat)
| c_Divides_Oop_Advd(X16,c_GCD_Ogcd(c_Pair(X15,X21,tc_nat,tc_nat)),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_GCD_Ogcd__greatest__iff__iff2_0) ).
fof(f4315,plain,
spl0_540,
inference(avatar_split_clause,[],[f1198,f4313]) ).
fof(f1198,axiom,
! [X2,X1,X5] :
( ~ c_in(X5,c_Finite__Set_OFinites,tc_set(tc_prod(X2,X1)))
| c_in(c_Relation_Oconverse(X5,X2,X1),c_Finite__Set_OFinites,tc_set(tc_prod(X1,X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__converse__iff2_0) ).
fof(f4311,plain,
spl0_539,
inference(avatar_split_clause,[],[f1197,f4309]) ).
fof(f4309,plain,
( spl0_539
<=> ! [X2,X5,X1] :
( c_in(X5,c_Finite__Set_OFinites,tc_set(tc_prod(X2,X1)))
| ~ c_in(c_Relation_Oconverse(X5,X2,X1),c_Finite__Set_OFinites,tc_set(tc_prod(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_539])]) ).
fof(f1197,axiom,
! [X2,X1,X5] :
( c_in(X5,c_Finite__Set_OFinites,tc_set(tc_prod(X2,X1)))
| ~ c_in(c_Relation_Oconverse(X5,X2,X1),c_Finite__Set_OFinites,tc_set(tc_prod(X1,X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__converse__iff1_0) ).
fof(f4307,plain,
spl0_538,
inference(avatar_split_clause,[],[f114,f4305]) ).
fof(f114,axiom,
! [X2,X1,X27,X12,X13] :
( ~ c_in(X27,X13,X1)
| c_in(c_Sum__Type_OInr(X27,X1,X2),c_Sum__Type_OPlus(X12,X13,X2,X1),tc_sum(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Sum__Type_OInrI_0) ).
fof(f4303,plain,
spl0_537,
inference(avatar_split_clause,[],[f113,f4301]) ).
fof(f113,axiom,
! [X2,X18,X1,X12,X13] :
( ~ c_in(X18,X12,X1)
| c_in(c_Sum__Type_OInl(X18,X1,X2),c_Sum__Type_OPlus(X12,X13,X1,X2),tc_sum(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Sum__Type_OInlI_0) ).
fof(f4299,plain,
spl0_536,
inference(avatar_split_clause,[],[f76,f4297]) ).
fof(f76,axiom,
! [X2,X1,X18,X27,X5] :
( c_in(X27,c_Relation_ORange(X5,X1,X2),X2)
| ~ c_in(c_Pair(X18,X27,X1,X2),X5,tc_prod(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_ORangeI_0) ).
fof(f4295,plain,
spl0_535,
inference(avatar_split_clause,[],[f72,f4293]) ).
fof(f72,axiom,
! [X2,X1,X27,X5,X12] :
( ~ c_in(X27,c_Relation_OImage(X5,X12,X2,X1),X1)
| c_in(c_Main_OImageE__1(X12,X27,X5,X2,X1),X12,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_OImageE_0) ).
fof(f4291,plain,
spl0_534,
inference(avatar_split_clause,[],[f71,f4289]) ).
fof(f71,axiom,
! [X28,X1] :
( ~ c_in(X28,c_Relation_OId,tc_prod(X1,X1))
| c_Pair(c_Main_OIdE__1(X28,X1),c_Main_OIdE__1(X28,X1),X1,X1) = X28 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_OIdE_0) ).
fof(f4287,plain,
spl0_533,
inference(avatar_split_clause,[],[f70,f4285]) ).
fof(f70,axiom,
! [X2,X18,X1,X27,X5] :
( c_in(X18,c_Relation_ODomain(X5,X1,X2),X1)
| ~ c_in(c_Pair(X18,X27,X1,X2),X5,tc_prod(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_ODomainI_0) ).
fof(f4282,plain,
spl0_532,
inference(avatar_split_clause,[],[f58,f4280]) ).
fof(f4280,plain,
( spl0_532
<=> ! [X12,X0,X1,X26] :
( c_in(X26,c_List_Olists(X12,X1),tc_List_Olist(X1))
| ~ c_in(c_List_Olist_OCons(X0,X26,X1),c_List_Olists(X12,X1),tc_List_Olist(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_532])]) ).
fof(f58,axiom,
! [X0,X1,X26,X12] :
( c_in(X26,c_List_Olists(X12,X1),tc_List_Olist(X1))
| ~ c_in(c_List_Olist_OCons(X0,X26,X1),c_List_Olists(X12,X1),tc_List_Olist(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_OlistsE_0) ).
fof(f4278,plain,
spl0_531,
inference(avatar_split_clause,[],[f46,f4276]) ).
fof(f46,axiom,
! [X1,X24,X12,X23] :
( c_in(X24,X12,X1)
| ~ c_in(X24,c_List_Oset(X23,X1),X1)
| ~ c_in(X23,c_List_Olists(X12,X1),tc_List_Olist(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oin__listsD__dest_0) ).
fof(f4250,plain,
spl0_530,
inference(avatar_split_clause,[],[f1360,f4248]) ).
fof(f4248,plain,
( spl0_530
<=> ! [X53,X55] :
( c_in(X53,c_Message_Osynth(X55),tc_Message_Omsg)
| c_in(c_Message_Omsg_OHash(X53),X55,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OHash(X53),c_Message_Osynth(X55),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_530])]) ).
fof(f1360,axiom,
! [X55,X53] :
( c_in(X53,c_Message_Osynth(X55),tc_Message_Omsg)
| c_in(c_Message_Omsg_OHash(X53),X55,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OHash(X53),c_Message_Osynth(X55),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OHash__synth_0) ).
fof(f4246,plain,
spl0_529,
inference(avatar_split_clause,[],[f1318,f4244]) ).
fof(f1318,axiom,
! [X1,X4,X12,X13] :
( ~ c_in(X4,X12,X1)
| c_in(X4,X13,X1)
| c_in(X4,c_minus(X12,X13,tc_set(X1)),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_ODiffI_0) ).
fof(f4242,plain,
spl0_528,
inference(avatar_split_clause,[],[f1315,f4240]) ).
fof(f1315,axiom,
! [X1,X12,X13] :
( ~ c_lessequals(X13,X12,tc_set(X1))
| c_lessequals(c_uminus(X12,tc_set(X1)),c_uminus(X13,tc_set(X1)),tc_set(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OCompl__subset__Compl__iff__iff2_0) ).
fof(f4238,plain,
spl0_527,
inference(avatar_split_clause,[],[f1314,f4236]) ).
fof(f4236,plain,
( spl0_527
<=> ! [X13,X12,X1] :
( c_lessequals(X13,X12,tc_set(X1))
| ~ c_lessequals(c_uminus(X12,tc_set(X1)),c_uminus(X13,tc_set(X1)),tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_527])]) ).
fof(f1314,axiom,
! [X1,X12,X13] :
( c_lessequals(X13,X12,tc_set(X1))
| ~ c_lessequals(c_uminus(X12,tc_set(X1)),c_uminus(X13,tc_set(X1)),tc_set(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OCompl__subset__Compl__iff__iff1_0) ).
fof(f4234,plain,
spl0_526,
inference(avatar_split_clause,[],[f1243,f4232]) ).
fof(f1243,axiom,
! [X3,X1,X25] : c_List_Olist_OCons(X3,X25,X1) = c_List_Orev(c_append(c_List_Orev(X25,X1),c_List_Olist_OCons(X3,c_List_Olist_ONil,X1),X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Orev__eq__Cons__iff__iff2_0) ).
fof(f4230,plain,
spl0_525,
inference(avatar_split_clause,[],[f1236,f4228]) ).
fof(f4228,plain,
( spl0_525
<=> ! [X1,X23] :
( c_List_Oremdups(X23,X1) = X23
| c_Nat_Osize(c_List_Oremdups(X23,X1),tc_List_Olist(X1)) != c_Nat_Osize(X23,tc_List_Olist(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_525])]) ).
fof(f1236,axiom,
! [X1,X23] :
( c_List_Oremdups(X23,X1) = X23
| c_Nat_Osize(c_List_Oremdups(X23,X1),tc_List_Olist(X1)) != c_Nat_Osize(X23,tc_List_Olist(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olength__remdups__eq__iff1_0) ).
fof(f4226,plain,
spl0_524,
inference(avatar_split_clause,[],[f1216,f4224]) ).
fof(f1216,axiom,
! [X1,X5,X25] : ~ c_in(c_Pair(c_List_Olist_ONil,X25,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olex(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_ONil__notin__lex__iff1_0) ).
fof(f4222,plain,
spl0_523,
inference(avatar_split_clause,[],[f1210,f4220]) ).
fof(f1210,axiom,
! [X1,X5,X23] : ~ c_in(c_Pair(X23,c_List_Olist_ONil,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olex(X5,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_ONil2__notin__lex__iff1_0) ).
fof(f4218,plain,
( spl0_521
| spl0_522
| ~ spl0_60
| ~ spl0_515 ),
inference(avatar_split_clause,[],[f4164,f4097,f1700,f4215,f4211]) ).
fof(f4164,plain,
( c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_G),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| ~ spl0_60
| ~ spl0_515 ),
inference(resolution,[],[f4098,f1702]) ).
fof(f4209,plain,
spl0_520,
inference(avatar_split_clause,[],[f81,f4207]) ).
fof(f81,axiom,
! [X18,X1,X12] :
( ~ c_in(X18,X12,X1)
| c_in(c_Pair(X18,X18,X1,X1),c_Relation_Odiag(X12,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_OdiagI_0) ).
fof(f4205,plain,
spl0_519,
inference(avatar_split_clause,[],[f47,f4203]) ).
fof(f47,axiom,
! [X1,X12,X23] :
( c_in(X23,c_List_Olists(X12,X1),tc_List_Olist(X1))
| c_in(c_Main_Oin__listsI__1(X12,X23,X1),c_List_Oset(X23,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oin__listsI_0) ).
fof(f4111,plain,
spl0_518,
inference(avatar_split_clause,[],[f1353,f4109]) ).
fof(f4109,plain,
( spl0_518
<=> ! [X5,X1,X0,X3] :
( c_Wellfounded__Recursion_Owf(X5,X1)
| ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X3,X0,X1,X1),X5,tc_prod(X1,X1)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_518])]) ).
fof(f1353,axiom,
! [X3,X0,X1,X5] :
( c_Wellfounded__Recursion_Owf(X5,X1)
| ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X3,X0,X1,X1),X5,tc_prod(X1,X1)),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Owf__insert__iff1_0) ).
fof(f4107,plain,
spl0_517,
inference(avatar_split_clause,[],[f1350,f4105]) ).
fof(f4105,plain,
( spl0_517
<=> ! [X5,X1,X0,X3] :
( c_Wellfounded__Recursion_Oacyclic(X5,X1)
| ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X3,X0,X1,X1),X5,tc_prod(X1,X1)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_517])]) ).
fof(f1350,axiom,
! [X3,X0,X1,X5] :
( c_Wellfounded__Recursion_Oacyclic(X5,X1)
| ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X3,X0,X1,X1),X5,tc_prod(X1,X1)),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Oacyclic__insert__iff1_0) ).
fof(f4103,plain,
spl0_516,
inference(avatar_split_clause,[],[f1332,f4101]) ).
fof(f1332,axiom,
! [X1,X53,X12,X32] :
( ~ c_in(X12,X53,X1)
| ~ c_in(X53,X32,tc_set(X1))
| c_in(X12,c_Union(X32,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnionI_0) ).
fof(f4099,plain,
spl0_515,
inference(avatar_split_clause,[],[f1328,f4097]) ).
fof(f1328,axiom,
! [X1,X4,X12,X13] :
( c_in(X4,X12,X1)
| c_in(X4,X13,X1)
| ~ c_in(X4,c_union(X12,X13,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnE_0) ).
fof(f4095,plain,
spl0_514,
inference(avatar_split_clause,[],[f1322,f4093]) ).
fof(f1322,axiom,
! [X1,X53,X12,X32] :
( c_in(X12,X53,X1)
| ~ c_in(X53,X32,tc_set(X1))
| ~ c_in(X12,c_Inter(X32,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OInterD_0) ).
fof(f4091,plain,
spl0_513,
inference(avatar_split_clause,[],[f1321,f4089]) ).
fof(f1321,axiom,
! [X1,X4,X12,X13] :
( ~ c_in(X4,X13,X1)
| ~ c_in(X4,X12,X1)
| c_in(X4,c_inter(X12,X13,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OIntI_0) ).
fof(f4087,plain,
spl0_512,
inference(avatar_split_clause,[],[f1310,f4085]) ).
fof(f1310,axiom,
! [X3,X0,X1] :
( ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X0,X3,X1)
| c_lessequals(c_SetInterval_OlessThan(X0,X1),c_SetInterval_OlessThan(X3,X1),tc_set(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OlessThan__subset__iff__iff2_0) ).
fof(f4083,plain,
spl0_511,
inference(avatar_split_clause,[],[f1309,f4081]) ).
fof(f4081,plain,
( spl0_511
<=> ! [X0,X1,X3] :
( ~ class_Orderings_Olinorder(X1)
| c_lessequals(X0,X3,X1)
| ~ c_lessequals(c_SetInterval_OlessThan(X0,X1),c_SetInterval_OlessThan(X3,X1),tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_511])]) ).
fof(f1309,axiom,
! [X3,X0,X1] :
( ~ class_Orderings_Olinorder(X1)
| c_lessequals(X0,X3,X1)
| ~ c_lessequals(c_SetInterval_OlessThan(X0,X1),c_SetInterval_OlessThan(X3,X1),tc_set(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OlessThan__subset__iff__iff1_0) ).
fof(f4079,plain,
spl0_510,
inference(avatar_split_clause,[],[f1305,f4077]) ).
fof(f1305,axiom,
! [X3,X0,X1] :
( ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X3,X0,X1)
| c_lessequals(c_SetInterval_OgreaterThan(X0,X1),c_SetInterval_OgreaterThan(X3,X1),tc_set(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OgreaterThan__subset__iff__iff2_0) ).
fof(f4075,plain,
spl0_509,
inference(avatar_split_clause,[],[f1304,f4073]) ).
fof(f1304,axiom,
! [X3,X0,X1] :
( ~ class_Orderings_Olinorder(X1)
| c_lessequals(X3,X0,X1)
| ~ c_lessequals(c_SetInterval_OgreaterThan(X0,X1),c_SetInterval_OgreaterThan(X3,X1),tc_set(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OgreaterThan__subset__iff__iff1_0) ).
fof(f4071,plain,
( spl0_508
| ~ spl0_285
| ~ spl0_489 ),
inference(avatar_split_clause,[],[f4007,f3939,f2603,f4069]) ).
fof(f4069,plain,
( spl0_508
<=> ! [X0,X1] : ~ c_in(X0,c_Union(c_emptyset,X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_508])]) ).
fof(f4007,plain,
( ! [X0,X1] : ~ c_in(X0,c_Union(c_emptyset,X1),X1)
| ~ spl0_285
| ~ spl0_489 ),
inference(resolution,[],[f3940,f2604]) ).
fof(f4067,plain,
spl0_507,
inference(avatar_split_clause,[],[f1300,f4065]) ).
fof(f1300,axiom,
! [X3,X0,X1] :
( ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X0,X3,X1)
| c_lessequals(c_SetInterval_OatMost(X0,X1),c_SetInterval_OatMost(X3,X1),tc_set(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OatMost__subset__iff__iff2_0) ).
fof(f4063,plain,
spl0_506,
inference(avatar_split_clause,[],[f1299,f4061]) ).
fof(f4061,plain,
( spl0_506
<=> ! [X0,X1,X3] :
( ~ class_Orderings_Oorder(X1)
| c_lessequals(X0,X3,X1)
| ~ c_lessequals(c_SetInterval_OatMost(X0,X1),c_SetInterval_OatMost(X3,X1),tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_506])]) ).
fof(f1299,axiom,
! [X3,X0,X1] :
( ~ class_Orderings_Oorder(X1)
| c_lessequals(X0,X3,X1)
| ~ c_lessequals(c_SetInterval_OatMost(X0,X1),c_SetInterval_OatMost(X3,X1),tc_set(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OatMost__subset__iff__iff1_0) ).
fof(f4059,plain,
spl0_505,
inference(avatar_split_clause,[],[f1295,f4057]) ).
fof(f1295,axiom,
! [X3,X0,X1] :
( ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X3,X0,X1)
| c_lessequals(c_SetInterval_OatLeast(X0,X1),c_SetInterval_OatLeast(X3,X1),tc_set(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OatLeast__subset__iff__iff2_0) ).
fof(f4055,plain,
spl0_504,
inference(avatar_split_clause,[],[f1294,f4053]) ).
fof(f4053,plain,
( spl0_504
<=> ! [X0,X1,X3] :
( ~ class_Orderings_Oorder(X1)
| c_lessequals(X3,X0,X1)
| ~ c_lessequals(c_SetInterval_OatLeast(X0,X1),c_SetInterval_OatLeast(X3,X1),tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_504])]) ).
fof(f1294,axiom,
! [X3,X0,X1] :
( ~ class_Orderings_Oorder(X1)
| c_lessequals(X3,X0,X1)
| ~ c_lessequals(c_SetInterval_OatLeast(X0,X1),c_SetInterval_OatLeast(X3,X1),tc_set(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OatLeast__subset__iff__iff1_0) ).
fof(f4051,plain,
spl0_503,
inference(avatar_split_clause,[],[f1263,f4049]) ).
fof(f1263,axiom,
! [X21,X15] :
( c_less(c_0,X15,tc_nat)
| c_less(c_0,X21,tc_nat)
| ~ c_less(c_0,c_plus(X15,X21,tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oadd__gr__0__iff1_0) ).
fof(f4047,plain,
spl0_502,
inference(avatar_split_clause,[],[f127,f4045]) ).
fof(f4045,plain,
( spl0_502
<=> ! [X35,X36,X2,X1] :
( ~ c_Wellfounded__Recursion_Owf(X35,X2)
| ~ c_Wellfounded__Recursion_Owf(X36,X1)
| c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X36,X35,X1,X2),tc_prod(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_502])]) ).
fof(f127,axiom,
! [X2,X36,X1,X35] :
( ~ c_Wellfounded__Recursion_Owf(X35,X2)
| ~ c_Wellfounded__Recursion_Owf(X36,X1)
| c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X36,X35,X1,X2),tc_prod(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Owf__lex__prod_0) ).
fof(f4043,plain,
spl0_501,
inference(avatar_split_clause,[],[f125,f4041]) ).
fof(f4041,plain,
( spl0_501
<=> ! [X34,X33,X2,X1] :
( ~ c_Relation_Otrans(X33,X2)
| ~ c_Relation_Otrans(X34,X1)
| c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X34,X33,X1,X2),tc_prod(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_501])]) ).
fof(f125,axiom,
! [X2,X1,X34,X33] :
( ~ c_Relation_Otrans(X33,X2)
| ~ c_Relation_Otrans(X34,X1)
| c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X34,X33,X1,X2),tc_prod(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Otrans__lex__prod_0) ).
fof(f4039,plain,
spl0_500,
inference(avatar_split_clause,[],[f80,f4037]) ).
fof(f80,axiom,
! [X1,X4,X12] :
( c_in(c_Main_OdiagE__1(X12,X4,X1),X12,X1)
| ~ c_in(X4,c_Relation_Odiag(X12,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_OdiagE_1) ).
fof(f4034,plain,
( spl0_499
| ~ spl0_285
| ~ spl0_488 ),
inference(avatar_split_clause,[],[f3994,f3935,f2603,f4032]) ).
fof(f4032,plain,
( spl0_499
<=> ! [X0,X1] : c_in(X0,c_Inter(c_emptyset,X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_499])]) ).
fof(f3994,plain,
( ! [X0,X1] : c_in(X0,c_Inter(c_emptyset,X1),X1)
| ~ spl0_285
| ~ spl0_488 ),
inference(resolution,[],[f3936,f2604]) ).
fof(f3977,plain,
spl0_498,
inference(avatar_split_clause,[],[f1357,f3975]) ).
fof(f1357,axiom,
! [X3,X0] :
( ~ c_less(X0,X3,tc_nat)
| c_in(c_Pair(X0,X3,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Oless__than__iff__iff2_0) ).
fof(f3973,plain,
spl0_497,
inference(avatar_split_clause,[],[f1356,f3971]) ).
fof(f1356,axiom,
! [X3,X0] :
( c_less(X0,X3,tc_nat)
| ~ c_in(c_Pair(X0,X3,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Oless__than__iff__iff1_0) ).
fof(f3969,plain,
spl0_496,
inference(avatar_split_clause,[],[f1336,f3967]) ).
fof(f1336,axiom,
! [X18,X1,X27,X12] :
( X18 = X27
| c_in(X18,X12,X1)
| ~ c_in(X18,c_insert(X27,X12,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertE_0) ).
fof(f3965,plain,
spl0_495,
inference(avatar_split_clause,[],[f1284,f3963]) ).
fof(f3963,plain,
( spl0_495
<=> ! [X2,X41,X18,X27,X52,X1] :
( X27 = X52
| c_Pair(X18,X27,X1,X2) != c_Pair(X41,X52,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_495])]) ).
fof(f1284,axiom,
! [X2,X41,X18,X1,X27,X52] :
( X27 = X52
| c_Pair(X18,X27,X1,X2) != c_Pair(X41,X52,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Product__Type_OPair__eq__iff1_1) ).
fof(f3961,plain,
spl0_494,
inference(avatar_split_clause,[],[f1283,f3959]) ).
fof(f3959,plain,
( spl0_494
<=> ! [X52,X41,X18,X27,X2,X1] :
( X18 = X41
| c_Pair(X18,X27,X1,X2) != c_Pair(X41,X52,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_494])]) ).
fof(f1283,axiom,
! [X2,X41,X18,X1,X27,X52] :
( X18 = X41
| c_Pair(X18,X27,X1,X2) != c_Pair(X41,X52,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Product__Type_OPair__eq__iff1_0) ).
fof(f3957,plain,
spl0_493,
inference(avatar_split_clause,[],[f1178,f3955]) ).
fof(f3955,plain,
( spl0_493
<=> ! [X9,X7,X8,X10,X2,X1] :
( X7 = X8
| c_Datatype__Universe_OScons(X9,X7,X1,X2) != c_Datatype__Universe_OScons(X10,X8,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_493])]) ).
fof(f1178,axiom,
! [X2,X10,X1,X8,X9,X7] :
( X7 = X8
| c_Datatype__Universe_OScons(X9,X7,X1,X2) != c_Datatype__Universe_OScons(X10,X8,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OScons__Scons__eq__iff1_1) ).
fof(f3953,plain,
spl0_492,
inference(avatar_split_clause,[],[f1177,f3951]) ).
fof(f3951,plain,
( spl0_492
<=> ! [X7,X10,X8,X9,X2,X1] :
( X9 = X10
| c_Datatype__Universe_OScons(X9,X7,X1,X2) != c_Datatype__Universe_OScons(X10,X8,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_492])]) ).
fof(f1177,axiom,
! [X2,X10,X1,X8,X9,X7] :
( X9 = X10
| c_Datatype__Universe_OScons(X9,X7,X1,X2) != c_Datatype__Universe_OScons(X10,X8,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OScons__Scons__eq__iff1_0) ).
fof(f3949,plain,
spl0_491,
inference(avatar_split_clause,[],[f119,f3947]) ).
fof(f119,axiom,
! [X28,X1,X5] :
( ~ c_in(X28,X5,tc_prod(X1,X1))
| c_in(X28,c_Transitive__Closure_Ortrancl(X5,X1),tc_prod(X1,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Transitive__Closure_Or__into__rtrancl_0) ).
fof(f3945,plain,
( spl0_490
| ~ spl0_301
| ~ spl0_429 ),
inference(avatar_split_clause,[],[f3756,f3596,f2975,f3943]) ).
fof(f2975,plain,
( spl0_301
<=> ! [X53] : ~ c_in(X53,c_Message_Oparts(c_emptyset),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_301])]) ).
fof(f3756,plain,
( ! [X0] : c_lessequals(c_Message_Oparts(c_emptyset),X0,tc_set(tc_Message_Omsg))
| ~ spl0_301
| ~ spl0_429 ),
inference(resolution,[],[f3597,f2976]) ).
fof(f2976,plain,
( ! [X53] : ~ c_in(X53,c_Message_Oparts(c_emptyset),tc_Message_Omsg)
| ~ spl0_301 ),
inference(avatar_component_clause,[],[f2975]) ).
fof(f3941,plain,
spl0_489,
inference(avatar_split_clause,[],[f99,f3939]) ).
fof(f99,axiom,
! [X1,X12,X32] :
( ~ c_in(X12,c_Union(X32,X1),X1)
| c_in(c_Main_OUnionE__1(X12,X32,X1),X32,tc_set(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnionE_0) ).
fof(f3937,plain,
spl0_488,
inference(avatar_split_clause,[],[f96,f3935]) ).
fof(f96,axiom,
! [X1,X12,X32] :
( c_in(X12,c_Inter(X32,X1),X1)
| c_in(c_Main_OInterI__1(X12,X32,X1),X32,tc_set(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OInterI_0) ).
fof(f3933,plain,
spl0_487,
inference(avatar_split_clause,[],[f59,f3931]) ).
fof(f59,axiom,
! [X0,X1,X26,X12] :
( c_in(X0,X12,X1)
| ~ c_in(c_List_Olist_OCons(X0,X26,X1),c_List_Olists(X12,X1),tc_List_Olist(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_OlistsE_1) ).
fof(f3929,plain,
spl0_486,
inference(avatar_split_clause,[],[f48,f3927]) ).
fof(f48,axiom,
! [X1,X12,X23] :
( ~ c_in(c_Main_Oin__listsI__1(X12,X23,X1),X12,X1)
| c_in(X23,c_List_Olists(X12,X1),tc_List_Olist(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oin__listsI_1) ).
fof(f3925,plain,
spl0_485,
inference(avatar_split_clause,[],[f43,f3923]) ).
fof(f3923,plain,
( spl0_485
<=> ! [X17,X15] :
( c_0 != c_Divides_Oop_Amod(X15,X17,tc_IntDef_Oint)
| c_times(X17,c_Main_Ozmod__eq__0D__dest__1(X17,X15),tc_IntDef_Oint) = X15 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_485])]) ).
fof(f43,axiom,
! [X17,X15] :
( c_0 != c_Divides_Oop_Amod(X15,X17,tc_IntDef_Oint)
| c_times(X17,c_Main_Ozmod__eq__0D__dest__1(X17,X15),tc_IntDef_Oint) = X15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Ozmod__eq__0D__dest_0) ).
fof(f3921,plain,
spl0_484,
inference(avatar_split_clause,[],[f27,f3919]) ).
fof(f3919,plain,
( spl0_484
<=> ! [X17,X15] :
( c_0 != c_Divides_Oop_Amod(X15,X17,tc_nat)
| c_times(X17,c_Main_Omod__eq__0D__dest__1(X17,X15),tc_nat) = X15 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_484])]) ).
fof(f27,axiom,
! [X17,X15] :
( c_0 != c_Divides_Oop_Amod(X15,X17,tc_nat)
| c_times(X17,c_Main_Omod__eq__0D__dest__1(X17,X15),tc_nat) = X15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Divides_Omod__eq__0D__dest_0) ).
fof(f3892,plain,
( spl0_483
| ~ spl0_67
| ~ spl0_430 ),
inference(avatar_split_clause,[],[f3759,f3600,f1730,f3890]) ).
fof(f3890,plain,
( spl0_483
<=> ! [X0,X1] : c_lessequals(X0,c_UNIV,tc_set(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_483])]) ).
fof(f3759,plain,
( ! [X0,X1] : c_lessequals(X0,c_UNIV,tc_set(X1))
| ~ spl0_67
| ~ spl0_430 ),
inference(resolution,[],[f3601,f1731]) ).
fof(f3888,plain,
spl0_482,
inference(avatar_split_clause,[],[f1290,f3886]) ).
fof(f1290,axiom,
! [X18,X1,X27] :
( X18 = X27
| ~ c_in(c_Pair(X18,X27,X1,X1),c_Relation_OId,tc_prod(X1,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_Opair__in__Id__conv__iff1_0) ).
fof(f3884,plain,
spl0_481,
inference(avatar_split_clause,[],[f1200,f3882]) ).
fof(f1200,axiom,
! [X21,X16,X15] :
( c_Divides_Oop_Advd(X16,X21,tc_nat)
| ~ c_Divides_Oop_Advd(X16,c_GCD_Ogcd(c_Pair(X15,X21,tc_nat,tc_nat)),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_GCD_Ogcd__greatest__iff__iff1_1) ).
fof(f3880,plain,
spl0_480,
inference(avatar_split_clause,[],[f1199,f3878]) ).
fof(f1199,axiom,
! [X21,X16,X15] :
( c_Divides_Oop_Advd(X16,X15,tc_nat)
| ~ c_Divides_Oop_Advd(X16,c_GCD_Ogcd(c_Pair(X15,X21,tc_nat,tc_nat)),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_GCD_Ogcd__greatest__iff__iff1_0) ).
fof(f3876,plain,
spl0_479,
inference(avatar_split_clause,[],[f1195,f3874]) ).
fof(f3874,plain,
( spl0_479
<=> ! [X20,X1,X19] :
( c_in(X20,c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(c_union(X19,X20,X1),c_Finite__Set_OFinites,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_479])]) ).
fof(f1195,axiom,
! [X1,X19,X20] :
( c_in(X20,c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(c_union(X19,X20,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Un__iff1_1) ).
fof(f3872,plain,
spl0_478,
inference(avatar_split_clause,[],[f1194,f3870]) ).
fof(f3870,plain,
( spl0_478
<=> ! [X20,X1,X19] :
( c_in(X19,c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(c_union(X19,X20,X1),c_Finite__Set_OFinites,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_478])]) ).
fof(f1194,axiom,
! [X1,X19,X20] :
( c_in(X19,c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(c_union(X19,X20,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Un__iff1_0) ).
fof(f3868,plain,
spl0_477,
inference(avatar_split_clause,[],[f1193,f3866]) ).
fof(f1193,axiom,
! [X1,X12] :
( ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X1))
| c_in(c_Pow(X12,X1),c_Finite__Set_OFinites,tc_set(tc_set(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Pow__iff__iff2_0) ).
fof(f3864,plain,
spl0_476,
inference(avatar_split_clause,[],[f1192,f3862]) ).
fof(f3862,plain,
( spl0_476
<=> ! [X12,X1] :
( c_in(X12,c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(c_Pow(X12,X1),c_Finite__Set_OFinites,tc_set(tc_set(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_476])]) ).
fof(f1192,axiom,
! [X1,X12] :
( c_in(X12,c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(c_Pow(X12,X1),c_Finite__Set_OFinites,tc_set(tc_set(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Pow__iff__iff1_0) ).
fof(f3860,plain,
spl0_475,
inference(avatar_split_clause,[],[f111,f3858]) ).
fof(f111,axiom,
! [X1,X12,X13] :
( X12 = X13
| ~ c_lessequals(X12,X13,tc_set(X1))
| ~ c_lessequals(X13,X12,tc_set(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__antisym_0) ).
fof(f3856,plain,
spl0_474,
inference(avatar_split_clause,[],[f108,f3854]) ).
fof(f108,axiom,
! [X1,X4,X12,X13] :
( ~ c_in(X4,X12,X1)
| c_in(X4,X13,X1)
| ~ c_lessequals(X12,X13,tc_set(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
fof(f3852,plain,
spl0_473,
inference(avatar_split_clause,[],[f104,f3850]) ).
fof(f104,axiom,
! [X1,X12,X13] :
( X12 = X13
| ~ c_lessequals(X12,X13,tc_set(X1))
| c_less(X12,X13,tc_set(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OpsubsetI_0) ).
fof(f3848,plain,
spl0_472,
inference(avatar_split_clause,[],[f100,f3846]) ).
fof(f100,axiom,
! [X1,X12,X32] :
( ~ c_in(X12,c_Union(X32,X1),X1)
| c_in(X12,c_Main_OUnionE__1(X12,X32,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnionE_1) ).
fof(f3844,plain,
spl0_471,
inference(avatar_split_clause,[],[f97,f3842]) ).
fof(f3842,plain,
( spl0_471
<=> ! [X12,X32,X1] :
( c_in(X12,c_Inter(X32,X1),X1)
| ~ c_in(X12,c_Main_OInterI__1(X12,X32,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_471])]) ).
fof(f97,axiom,
! [X1,X12,X32] :
( c_in(X12,c_Inter(X32,X1),X1)
| ~ c_in(X12,c_Main_OInterI__1(X12,X32,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OInterI_1) ).
fof(f3840,plain,
spl0_470,
inference(avatar_split_clause,[],[f31,f3838]) ).
fof(f31,axiom,
! [X1,X19,X20] :
( ~ c_in(X20,c_Finite__Set_OFinites,tc_set(X1))
| c_in(c_inter(X19,X20,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Int_1) ).
fof(f3836,plain,
spl0_469,
inference(avatar_split_clause,[],[f30,f3834]) ).
fof(f30,axiom,
! [X1,X19,X20] :
( ~ c_in(X19,c_Finite__Set_OFinites,tc_set(X1))
| c_in(c_inter(X19,X20,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Int_0) ).
fof(f3832,plain,
spl0_468,
inference(avatar_split_clause,[],[f29,f3830]) ).
fof(f29,axiom,
! [X1,X18,X12] :
( ~ c_in(X12,c_Finite__Set_OFinites,tc_set(X1))
| c_in(c_insert(X18,X12,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_OFinites_OinsertI_0) ).
fof(f3825,plain,
( ~ spl0_467
| ~ spl0_415
| spl0_466 ),
inference(avatar_split_clause,[],[f3807,f3786,f3521,f3822]) ).
fof(f3822,plain,
( spl0_467
<=> c_in(v_X,v_H,tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_467])]) ).
fof(f3786,plain,
( spl0_466
<=> c_in(v_X,c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_466])]) ).
fof(f3807,plain,
( ~ c_in(v_X,v_H,tc_Message_Omsg)
| ~ spl0_415
| spl0_466 ),
inference(resolution,[],[f3788,f3522]) ).
fof(f3788,plain,
( ~ c_in(v_X,c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg)
| spl0_466 ),
inference(avatar_component_clause,[],[f3786]) ).
fof(f3789,plain,
( ~ spl0_466
| ~ spl0_377
| spl0_459 ),
inference(avatar_split_clause,[],[f3758,f3717,f3317,f3786]) ).
fof(f3758,plain,
( ~ c_in(v_X,c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg)
| ~ spl0_377
| spl0_459 ),
inference(resolution,[],[f3719,f3318]) ).
fof(f3719,plain,
( ~ c_in(v_X,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| spl0_459 ),
inference(avatar_component_clause,[],[f3717]) ).
fof(f3744,plain,
spl0_465,
inference(avatar_split_clause,[],[f1398,f3742]) ).
fof(f1398,axiom,
! [X55,X20] :
( ~ c_lessequals(X20,X55,tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Oanalz(X20),c_Message_Oanalz(X55),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__mono_0) ).
fof(f3740,plain,
spl0_464,
inference(avatar_split_clause,[],[f1365,f3738]) ).
fof(f1365,axiom,
! [X56,X55,X53] :
( c_in(X53,c_Message_Oparts(X55),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X53,X56),c_Message_Oparts(X55),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__parts_1) ).
fof(f3736,plain,
spl0_463,
inference(avatar_split_clause,[],[f1364,f3734]) ).
fof(f1364,axiom,
! [X56,X55,X53] :
( c_in(X56,c_Message_Oparts(X55),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X53,X56),c_Message_Oparts(X55),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__parts_0) ).
fof(f3732,plain,
spl0_462,
inference(avatar_split_clause,[],[f1363,f3730]) ).
fof(f1363,axiom,
! [X56,X55,X53] :
( c_in(X53,c_Message_Oanalz(X55),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X53,X56),c_Message_Oanalz(X55),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__analz_1) ).
fof(f3728,plain,
spl0_461,
inference(avatar_split_clause,[],[f1362,f3726]) ).
fof(f1362,axiom,
! [X56,X55,X53] :
( c_in(X56,c_Message_Oanalz(X55),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X53,X56),c_Message_Oanalz(X55),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__analz_0) ).
fof(f3724,plain,
spl0_460,
inference(avatar_split_clause,[],[f1346,f3722]) ).
fof(f3722,plain,
( spl0_460
<=> ! [X0,X3,X2,X1] :
( X0 = X3
| c_Sum__Type_OInr(X0,X2,X1) != c_Sum__Type_OInr(X3,X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_460])]) ).
fof(f1346,axiom,
! [X2,X3,X0,X1] :
( X0 = X3
| c_Sum__Type_OInr(X0,X2,X1) != c_Sum__Type_OInr(X3,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Sum__Type_OInr__eq__iff1_0) ).
fof(f3720,plain,
( ~ spl0_459
| spl0_50
| ~ spl0_416 ),
inference(avatar_split_clause,[],[f3571,f3525,f1653,f3717]) ).
fof(f1653,plain,
( spl0_50
<=> c_in(v_X,c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f3571,plain,
( ~ c_in(v_X,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| spl0_50
| ~ spl0_416 ),
inference(resolution,[],[f3526,f1655]) ).
fof(f1655,plain,
( ~ c_in(v_X,c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg)
| spl0_50 ),
inference(avatar_component_clause,[],[f1653]) ).
fof(f3715,plain,
spl0_458,
inference(avatar_split_clause,[],[f1344,f3713]) ).
fof(f3713,plain,
( spl0_458
<=> ! [X0,X3,X2,X1] :
( X0 = X3
| c_Sum__Type_OInl(X0,X1,X2) != c_Sum__Type_OInl(X3,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_458])]) ).
fof(f1344,axiom,
! [X2,X3,X0,X1] :
( X0 = X3
| c_Sum__Type_OInl(X0,X1,X2) != c_Sum__Type_OInl(X3,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Sum__Type_OInl__eq__iff1_0) ).
fof(f3711,plain,
spl0_457,
inference(avatar_split_clause,[],[f1338,f3709]) ).
fof(f3709,plain,
( spl0_457
<=> ! [X18,X12,X27,X1] :
( X18 = X27
| c_insert(X18,X12,X1) != c_insert(X27,c_emptyset,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_457])]) ).
fof(f1338,axiom,
! [X18,X1,X27,X12] :
( X18 = X27
| c_insert(X18,X12,X1) != c_insert(X27,c_emptyset,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osingleton__insert__inj__eq_H__iff1_0) ).
fof(f3707,plain,
spl0_456,
inference(avatar_split_clause,[],[f1324,f3705]) ).
fof(f1324,axiom,
! [X1,X12,X13] :
( ~ c_lessequals(X12,X13,tc_set(X1))
| c_in(X12,c_Pow(X13,X1),tc_set(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OPow__iff__iff2_0) ).
fof(f3703,plain,
spl0_455,
inference(avatar_split_clause,[],[f1323,f3701]) ).
fof(f1323,axiom,
! [X1,X12,X13] :
( c_lessequals(X12,X13,tc_set(X1))
| ~ c_in(X12,c_Pow(X13,X1),tc_set(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OPow__iff__iff1_0) ).
fof(f3699,plain,
spl0_454,
inference(avatar_split_clause,[],[f1317,f3697]) ).
fof(f1317,axiom,
! [X1,X4,X12,X13] :
( c_in(X4,X12,X1)
| ~ c_in(X4,c_minus(X12,X13,tc_set(X1)),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_ODiffE_1) ).
fof(f3695,plain,
spl0_453,
inference(avatar_split_clause,[],[f1316,f3693]) ).
fof(f1316,axiom,
! [X1,X4,X12,X13] :
( ~ c_in(X4,X13,X1)
| ~ c_in(X4,c_minus(X12,X13,tc_set(X1)),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_ODiffE_0) ).
fof(f3691,plain,
spl0_452,
inference(avatar_split_clause,[],[f1313,f3689]) ).
fof(f3689,plain,
( spl0_452
<=> ! [X13,X12,X1] :
( X12 = X13
| c_uminus(X12,tc_set(X1)) != c_uminus(X13,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_452])]) ).
fof(f1313,axiom,
! [X1,X12,X13] :
( X12 = X13
| c_uminus(X12,tc_set(X1)) != c_uminus(X13,tc_set(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OCompl__eq__Compl__iff__iff1_0) ).
fof(f3687,plain,
spl0_451,
inference(avatar_split_clause,[],[f1308,f3685]) ).
fof(f1308,axiom,
! [X50,X1,X16] :
( ~ class_Orderings_Oord(X1)
| ~ c_less(X50,X16,X1)
| c_in(X50,c_SetInterval_OlessThan(X16,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OlessThan__iff__iff2_0) ).
fof(f3683,plain,
spl0_450,
inference(avatar_split_clause,[],[f1307,f3681]) ).
fof(f1307,axiom,
! [X50,X1,X16] :
( ~ class_Orderings_Oord(X1)
| c_less(X50,X16,X1)
| ~ c_in(X50,c_SetInterval_OlessThan(X16,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OlessThan__iff__iff1_0) ).
fof(f3679,plain,
spl0_449,
inference(avatar_split_clause,[],[f1306,f3677]) ).
fof(f3677,plain,
( spl0_449
<=> ! [X0,X1,X3] :
( ~ class_Orderings_Olinorder(X1)
| X0 = X3
| c_SetInterval_OlessThan(X0,X1) != c_SetInterval_OlessThan(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_449])]) ).
fof(f1306,axiom,
! [X3,X0,X1] :
( ~ class_Orderings_Olinorder(X1)
| X0 = X3
| c_SetInterval_OlessThan(X0,X1) != c_SetInterval_OlessThan(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OlessThan__eq__iff__iff1_0) ).
fof(f3675,plain,
spl0_448,
inference(avatar_split_clause,[],[f1303,f3673]) ).
fof(f1303,axiom,
! [X50,X1,X16] :
( ~ class_Orderings_Oord(X1)
| ~ c_less(X16,X50,X1)
| c_in(X50,c_SetInterval_OgreaterThan(X16,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OgreaterThan__iff__iff2_0) ).
fof(f3671,plain,
spl0_447,
inference(avatar_split_clause,[],[f1302,f3669]) ).
fof(f1302,axiom,
! [X50,X1,X16] :
( ~ class_Orderings_Oord(X1)
| c_less(X16,X50,X1)
| ~ c_in(X50,c_SetInterval_OgreaterThan(X16,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OgreaterThan__iff__iff1_0) ).
fof(f3667,plain,
spl0_446,
inference(avatar_split_clause,[],[f1301,f3665]) ).
fof(f3665,plain,
( spl0_446
<=> ! [X0,X1,X3] :
( ~ class_Orderings_Olinorder(X1)
| X0 = X3
| c_SetInterval_OgreaterThan(X0,X1) != c_SetInterval_OgreaterThan(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_446])]) ).
fof(f1301,axiom,
! [X3,X0,X1] :
( ~ class_Orderings_Olinorder(X1)
| X0 = X3
| c_SetInterval_OgreaterThan(X0,X1) != c_SetInterval_OgreaterThan(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OgreaterThan__eq__iff__iff1_0) ).
fof(f3663,plain,
spl0_445,
inference(avatar_split_clause,[],[f1298,f3661]) ).
fof(f1298,axiom,
! [X50,X1,X16] :
( ~ class_Orderings_Oord(X1)
| ~ c_lessequals(X50,X16,X1)
| c_in(X50,c_SetInterval_OatMost(X16,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OatMost__iff__iff2_0) ).
fof(f3659,plain,
spl0_444,
inference(avatar_split_clause,[],[f1297,f3657]) ).
fof(f1297,axiom,
! [X50,X1,X16] :
( ~ class_Orderings_Oord(X1)
| c_lessequals(X50,X16,X1)
| ~ c_in(X50,c_SetInterval_OatMost(X16,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OatMost__iff__iff1_0) ).
fof(f3655,plain,
spl0_443,
inference(avatar_split_clause,[],[f1296,f3653]) ).
fof(f3653,plain,
( spl0_443
<=> ! [X0,X1,X3] :
( ~ class_Orderings_Olinorder(X1)
| X0 = X3
| c_SetInterval_OatMost(X0,X1) != c_SetInterval_OatMost(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_443])]) ).
fof(f1296,axiom,
! [X3,X0,X1] :
( ~ class_Orderings_Olinorder(X1)
| X0 = X3
| c_SetInterval_OatMost(X0,X1) != c_SetInterval_OatMost(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OatMost__eq__iff__iff1_0) ).
fof(f3651,plain,
spl0_442,
inference(avatar_split_clause,[],[f1293,f3649]) ).
fof(f1293,axiom,
! [X50,X1,X16] :
( ~ class_Orderings_Oord(X1)
| ~ c_lessequals(X16,X50,X1)
| c_in(X50,c_SetInterval_OatLeast(X16,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OatLeast__iff__iff2_0) ).
fof(f3647,plain,
spl0_441,
inference(avatar_split_clause,[],[f1292,f3645]) ).
fof(f1292,axiom,
! [X50,X1,X16] :
( ~ class_Orderings_Oord(X1)
| c_lessequals(X16,X50,X1)
| ~ c_in(X50,c_SetInterval_OatLeast(X16,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OatLeast__iff__iff1_0) ).
fof(f3643,plain,
spl0_440,
inference(avatar_split_clause,[],[f1291,f3641]) ).
fof(f3641,plain,
( spl0_440
<=> ! [X0,X1,X3] :
( ~ class_Orderings_Olinorder(X1)
| X0 = X3
| c_SetInterval_OatLeast(X0,X1) != c_SetInterval_OatLeast(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_440])]) ).
fof(f1291,axiom,
! [X3,X0,X1] :
( ~ class_Orderings_Olinorder(X1)
| X0 = X3
| c_SetInterval_OatLeast(X0,X1) != c_SetInterval_OatLeast(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OatLeast__eq__iff__iff1_0) ).
fof(f3639,plain,
spl0_439,
inference(avatar_split_clause,[],[f1247,f3637]) ).
fof(f1247,axiom,
! [X1,X25,X23,X43] :
( X25 = X43
| c_append(X23,X25,X1) != c_append(X23,X43,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Osame__append__eq__iff1_0) ).
fof(f3635,plain,
( ~ spl0_438
| ~ spl0_379
| spl0_425 ),
inference(avatar_split_clause,[],[f3590,f3567,f3325,f3632]) ).
fof(f3632,plain,
( spl0_438
<=> c_in(v_X,v_G,tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_438])]) ).
fof(f3590,plain,
( ~ c_in(v_X,v_G,tc_Message_Omsg)
| ~ spl0_379
| spl0_425 ),
inference(resolution,[],[f3569,f3326]) ).
fof(f3569,plain,
( ~ c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg)
| spl0_425 ),
inference(avatar_component_clause,[],[f3567]) ).
fof(f3630,plain,
spl0_437,
inference(avatar_split_clause,[],[f1241,f3628]) ).
fof(f3628,plain,
( spl0_437
<=> ! [X18,X41,X49,X48,X1] :
( X48 = X49
| c_List_Olist_OCons(X41,X48,X1) != c_List_Olist_OCons(X18,X49,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_437])]) ).
fof(f1241,axiom,
! [X41,X48,X49,X1,X18] :
( X48 = X49
| c_List_Olist_OCons(X41,X48,X1) != c_List_Olist_OCons(X18,X49,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olist_Oinject__iff1_1) ).
fof(f3626,plain,
spl0_436,
inference(avatar_split_clause,[],[f1240,f3624]) ).
fof(f3624,plain,
( spl0_436
<=> ! [X41,X18,X49,X48,X1] :
( X18 = X41
| c_List_Olist_OCons(X41,X48,X1) != c_List_Olist_OCons(X18,X49,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_436])]) ).
fof(f1240,axiom,
! [X41,X48,X49,X18,X1] :
( X18 = X41
| c_List_Olist_OCons(X41,X48,X1) != c_List_Olist_OCons(X18,X49,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olist_Oinject__iff1_0) ).
fof(f3622,plain,
spl0_435,
inference(avatar_split_clause,[],[f1225,f3620]) ).
fof(f1225,axiom,
! [X1,X25,X23,X43] :
( X25 = X43
| c_append(X25,X23,X1) != c_append(X43,X23,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oappend__same__eq__iff1_0) ).
fof(f3618,plain,
spl0_434,
inference(avatar_split_clause,[],[f1171,f3616]) ).
fof(f3616,plain,
( spl0_434
<=> ! [X7,X9,X2,X1] :
( X7 = X9
| c_Datatype__Universe_OIn1(X7,X1,X2) != c_Datatype__Universe_OIn1(X9,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_434])]) ).
fof(f1171,axiom,
! [X2,X1,X9,X7] :
( X7 = X9
| c_Datatype__Universe_OIn1(X7,X1,X2) != c_Datatype__Universe_OIn1(X9,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OIn1__eq__iff1_0) ).
fof(f3614,plain,
spl0_433,
inference(avatar_split_clause,[],[f1169,f3612]) ).
fof(f3612,plain,
( spl0_433
<=> ! [X7,X9,X2,X1] :
( X7 = X9
| c_Datatype__Universe_OIn0(X9,X1,X2) != c_Datatype__Universe_OIn0(X7,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_433])]) ).
fof(f1169,axiom,
! [X2,X1,X9,X7] :
( X7 = X9
| c_Datatype__Universe_OIn0(X9,X1,X2) != c_Datatype__Universe_OIn0(X7,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OIn0__eq__iff1_0) ).
fof(f3610,plain,
spl0_432,
inference(avatar_split_clause,[],[f1167,f3608]) ).
fof(f3608,plain,
( spl0_432
<=> ! [X2,X18,X27,X1] :
( X18 = X27
| c_Datatype__Universe_OAtom(X18,X1,X2) != c_Datatype__Universe_OAtom(X27,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_432])]) ).
fof(f1167,axiom,
! [X2,X18,X1,X27] :
( X18 = X27
| c_Datatype__Universe_OAtom(X18,X1,X2) != c_Datatype__Universe_OAtom(X27,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OAtom__Atom__eq__iff1_0) ).
fof(f3606,plain,
spl0_431,
inference(avatar_split_clause,[],[f120,f3604]) ).
fof(f120,axiom,
! [X18,X1,X5] : c_in(c_Pair(X18,X18,X1,X1),c_Transitive__Closure_Ortrancl(X5,X1),tc_prod(X1,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Transitive__Closure_Ortrancl_Ortrancl__refl_0) ).
fof(f3602,plain,
spl0_430,
inference(avatar_split_clause,[],[f110,f3600]) ).
fof(f110,axiom,
! [X1,X12,X13] :
( c_lessequals(X12,X13,tc_set(X1))
| ~ c_in(c_Main_OsubsetI__1(X12,X13,X1),X13,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
fof(f3598,plain,
spl0_429,
inference(avatar_split_clause,[],[f109,f3596]) ).
fof(f109,axiom,
! [X1,X12,X13] :
( c_lessequals(X12,X13,tc_set(X1))
| c_in(c_Main_OsubsetI__1(X12,X13,X1),X12,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
fof(f3594,plain,
spl0_428,
inference(avatar_split_clause,[],[f49,f3592]) ).
fof(f49,axiom,
! [X1,X23] : c_lessequals(c_Nat_Osize(c_List_Oremdups(X23,X1),tc_List_Olist(X1)),c_Nat_Osize(X23,tc_List_Olist(X1)),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olength__remdups__leq_0) ).
fof(f3589,plain,
spl0_427,
inference(avatar_split_clause,[],[f2,f3587]) ).
fof(f3587,plain,
( spl0_427
<=> ! [X0,X3,X2,X1] :
( X0 = X3
| c_Datatype__Universe_ONumb(X0,X1,X2) != c_Datatype__Universe_ONumb(X3,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_427])]) ).
fof(f2,axiom,
! [X2,X3,X0,X1] :
( X0 = X3
| c_Datatype__Universe_ONumb(X0,X1,X2) != c_Datatype__Universe_ONumb(X3,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_ONumb__inject__dest_0) ).
fof(f3585,plain,
spl0_426,
inference(avatar_split_clause,[],[f1,f3583]) ).
fof(f3583,plain,
( spl0_426
<=> ! [X0,X3,X2,X1] :
( X0 = X3
| c_Datatype__Universe_OLeaf(X0,X1,X2) != c_Datatype__Universe_OLeaf(X3,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_426])]) ).
fof(f1,axiom,
! [X2,X3,X0,X1] :
( X0 = X3
| c_Datatype__Universe_OLeaf(X0,X1,X2) != c_Datatype__Universe_OLeaf(X3,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OLeaf__inject__dest_0) ).
fof(f3570,plain,
( ~ spl0_425
| spl0_50
| ~ spl0_415 ),
inference(avatar_split_clause,[],[f3564,f3521,f1653,f3567]) ).
fof(f3564,plain,
( ~ c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg)
| spl0_50
| ~ spl0_415 ),
inference(resolution,[],[f3522,f1655]) ).
fof(f3559,plain,
spl0_424,
inference(avatar_split_clause,[],[f1399,f3557]) ).
fof(f1399,axiom,
! [X55,X53] :
( c_in(X53,c_Message_Osynth(X55),tc_Message_Omsg)
| ~ c_in(X53,c_Message_Osynth(c_Message_Osynth(X55)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Osynth__synthD__dest_0) ).
fof(f3555,plain,
spl0_423,
inference(avatar_split_clause,[],[f1394,f3553]) ).
fof(f1394,axiom,
! [X55,X53] :
( ~ c_in(X53,c_Message_Osynth(X55),tc_Message_Omsg)
| c_in(c_Message_Omsg_OHash(X53),c_Message_Osynth(X55),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Osynth_OHash_0) ).
fof(f3551,plain,
( spl0_422
| ~ spl0_316
| ~ spl0_391 ),
inference(avatar_split_clause,[],[f3463,f3389,f3036,f3549]) ).
fof(f3549,plain,
( spl0_422
<=> ! [X0,X1] : c_Divides_Oop_Advd(X0,c_times(X1,c_uminus(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_422])]) ).
fof(f3036,plain,
( spl0_316
<=> ! [X16,X15] : c_Divides_Oop_Advd(X16,c_times(X15,X16,tc_IntDef_Oint),tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_316])]) ).
fof(f3463,plain,
( ! [X0,X1] : c_Divides_Oop_Advd(X0,c_times(X1,c_uminus(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
| ~ spl0_316
| ~ spl0_391 ),
inference(resolution,[],[f3390,f3037]) ).
fof(f3037,plain,
( ! [X16,X15] : c_Divides_Oop_Advd(X16,c_times(X15,X16,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ spl0_316 ),
inference(avatar_component_clause,[],[f3036]) ).
fof(f3547,plain,
spl0_421,
inference(avatar_split_clause,[],[f1391,f3545]) ).
fof(f1391,axiom,
! [X55,X53] :
( c_in(X53,c_Message_Oparts(X55),tc_Message_Omsg)
| ~ c_in(X53,c_Message_Oparts(c_Message_Oparts(X55)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__partsD__dest_0) ).
fof(f3543,plain,
spl0_420,
inference(avatar_split_clause,[],[f1378,f3541]) ).
fof(f1378,axiom,
! [X55,X53] :
( c_in(X53,c_Message_Oanalz(X55),tc_Message_Omsg)
| ~ c_in(X53,c_Message_Oanalz(c_Message_Oanalz(X55)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__analzD__dest_0) ).
fof(f3539,plain,
spl0_419,
inference(avatar_split_clause,[],[f1368,f3537]) ).
fof(f3537,plain,
( spl0_419
<=> ! [X21,X55] :
( c_in(c_Message_Omsg_ONonce(X21),X55,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_ONonce(X21),c_Message_Osynth(X55),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_419])]) ).
fof(f1368,axiom,
! [X21,X55] :
( c_in(c_Message_Omsg_ONonce(X21),X55,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_ONonce(X21),c_Message_Osynth(X55),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_ONonce__synth_0) ).
fof(f3535,plain,
spl0_418,
inference(avatar_split_clause,[],[f1361,f3533]) ).
fof(f1361,axiom,
! [X54,X55] :
( c_in(c_Message_Omsg_OKey(X54),X55,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(X54),c_Message_Osynth(X55),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OKey__synth_0) ).
fof(f3531,plain,
spl0_417,
inference(avatar_split_clause,[],[f1334,f3529]) ).
fof(f1334,axiom,
! [X18,X1,X27,X13] :
( ~ c_in(X18,X13,X1)
| c_in(X18,c_insert(X27,X13,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertCI_0) ).
fof(f3527,plain,
spl0_416,
inference(avatar_split_clause,[],[f1327,f3525]) ).
fof(f1327,axiom,
! [X1,X4,X12,X13] :
( ~ c_in(X4,X12,X1)
| c_in(X4,c_union(X12,X13,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnCI_1) ).
fof(f3523,plain,
spl0_415,
inference(avatar_split_clause,[],[f1326,f3521]) ).
fof(f1326,axiom,
! [X1,X4,X12,X13] :
( ~ c_in(X4,X13,X1)
| c_in(X4,c_union(X12,X13,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnCI_0) ).
fof(f3519,plain,
spl0_414,
inference(avatar_split_clause,[],[f1320,f3517]) ).
fof(f1320,axiom,
! [X1,X4,X12,X13] :
( c_in(X4,X12,X1)
| ~ c_in(X4,c_inter(X12,X13,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OIntE_1) ).
fof(f3515,plain,
spl0_413,
inference(avatar_split_clause,[],[f1319,f3513]) ).
fof(f1319,axiom,
! [X1,X4,X12,X13] :
( c_in(X4,X13,X1)
| ~ c_in(X4,c_inter(X12,X13,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OIntE_0) ).
fof(f3511,plain,
spl0_412,
inference(avatar_split_clause,[],[f1312,f3509]) ).
fof(f1312,axiom,
! [X1,X4,X12] :
( c_in(X4,X12,X1)
| c_in(X4,c_uminus(X12,tc_set(X1)),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OComplI_0) ).
fof(f3507,plain,
( spl0_411
| ~ spl0_315
| ~ spl0_391 ),
inference(avatar_split_clause,[],[f3462,f3389,f3032,f3505]) ).
fof(f3505,plain,
( spl0_411
<=> ! [X0,X1] : c_Divides_Oop_Advd(X0,c_times(c_uminus(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_411])]) ).
fof(f3032,plain,
( spl0_315
<=> ! [X16,X15] : c_Divides_Oop_Advd(X16,c_times(X16,X15,tc_IntDef_Oint),tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_315])]) ).
fof(f3462,plain,
( ! [X0,X1] : c_Divides_Oop_Advd(X0,c_times(c_uminus(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ spl0_315
| ~ spl0_391 ),
inference(resolution,[],[f3390,f3033]) ).
fof(f3033,plain,
( ! [X16,X15] : c_Divides_Oop_Advd(X16,c_times(X16,X15,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ spl0_315 ),
inference(avatar_component_clause,[],[f3032]) ).
fof(f3503,plain,
spl0_410,
inference(avatar_split_clause,[],[f1311,f3501]) ).
fof(f1311,axiom,
! [X1,X4,X12] :
( ~ c_in(X4,X12,X1)
| ~ c_in(X4,c_uminus(X12,tc_set(X1)),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OComplD__dest_0) ).
fof(f3499,plain,
spl0_409,
inference(avatar_split_clause,[],[f1265,f3497]) ).
fof(f3497,plain,
( spl0_409
<=> ! [X21,X15] :
( ~ c_less(c_0,X21,tc_nat)
| c_less(c_0,c_plus(X15,X21,tc_nat),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_409])]) ).
fof(f1265,axiom,
! [X21,X15] :
( ~ c_less(c_0,X21,tc_nat)
| c_less(c_0,c_plus(X15,X21,tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oadd__gr__0__iff2_1) ).
fof(f3495,plain,
spl0_408,
inference(avatar_split_clause,[],[f1264,f3493]) ).
fof(f3493,plain,
( spl0_408
<=> ! [X21,X15] :
( ~ c_less(c_0,X15,tc_nat)
| c_less(c_0,c_plus(X15,X21,tc_nat),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_408])]) ).
fof(f1264,axiom,
! [X21,X15] :
( ~ c_less(c_0,X15,tc_nat)
| c_less(c_0,c_plus(X15,X21,tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oadd__gr__0__iff2_0) ).
fof(f3491,plain,
spl0_407,
inference(avatar_split_clause,[],[f1160,f3489]) ).
fof(f1160,axiom,
! [X40,X0,X1] :
( c_Datatype_Ooption_OSome(X0,X1) = X40
| ~ c_in(X0,c_Datatype_Oo2s(X40,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype_Oelem__o2s__iff1_0) ).
fof(f3479,plain,
( spl0_406
| ~ spl0_322
| ~ spl0_390 ),
inference(avatar_split_clause,[],[f3459,f3385,f3060,f3477]) ).
fof(f3477,plain,
( spl0_406
<=> ! [X0] :
( ~ c_Divides_Oop_Advd(c_0,X0,tc_IntDef_Oint)
| c_0 = c_uminus(X0,tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_406])]) ).
fof(f3060,plain,
( spl0_322
<=> ! [X15] :
( c_0 = X15
| ~ c_Divides_Oop_Advd(c_0,X15,tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_322])]) ).
fof(f3459,plain,
( ! [X0] :
( ~ c_Divides_Oop_Advd(c_0,X0,tc_IntDef_Oint)
| c_0 = c_uminus(X0,tc_IntDef_Oint) )
| ~ spl0_322
| ~ spl0_390 ),
inference(resolution,[],[f3386,f3061]) ).
fof(f3061,plain,
( ! [X15] :
( ~ c_Divides_Oop_Advd(c_0,X15,tc_IntDef_Oint)
| c_0 = X15 )
| ~ spl0_322 ),
inference(avatar_component_clause,[],[f3060]) ).
fof(f3447,plain,
spl0_405,
inference(avatar_split_clause,[],[f1388,f3445]) ).
fof(f3445,plain,
( spl0_405
<=> ! [X61,X57,X62,X58] :
( X61 = X62
| c_Message_Omsg_OCrypt(X58,X61) != c_Message_Omsg_OCrypt(X57,X62) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_405])]) ).
fof(f1388,axiom,
! [X58,X57,X62,X61] :
( X61 = X62
| c_Message_Omsg_OCrypt(X58,X61) != c_Message_Omsg_OCrypt(X57,X62) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Omsg_Oinject__7__iff1_1) ).
fof(f3443,plain,
spl0_404,
inference(avatar_split_clause,[],[f1387,f3441]) ).
fof(f3441,plain,
( spl0_404
<=> ! [X61,X57,X58,X62] :
( X57 = X58
| c_Message_Omsg_OCrypt(X58,X61) != c_Message_Omsg_OCrypt(X57,X62) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_404])]) ).
fof(f1387,axiom,
! [X58,X57,X62,X61] :
( X57 = X58
| c_Message_Omsg_OCrypt(X58,X61) != c_Message_Omsg_OCrypt(X57,X62) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Omsg_Oinject__7__iff1_0) ).
fof(f3439,plain,
spl0_403,
inference(avatar_split_clause,[],[f1386,f3437]) ).
fof(f3437,plain,
( spl0_403
<=> ! [X66,X64,X65,X63] :
( X64 = X66
| c_Message_Omsg_OMPair(X63,X64) != c_Message_Omsg_OMPair(X65,X66) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_403])]) ).
fof(f1386,axiom,
! [X65,X63,X66,X64] :
( X64 = X66
| c_Message_Omsg_OMPair(X63,X64) != c_Message_Omsg_OMPair(X65,X66) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Omsg_Oinject__6__iff1_1) ).
fof(f3435,plain,
spl0_402,
inference(avatar_split_clause,[],[f1385,f3433]) ).
fof(f3433,plain,
( spl0_402
<=> ! [X65,X64,X63,X66] :
( X63 = X65
| c_Message_Omsg_OMPair(X63,X64) != c_Message_Omsg_OMPair(X65,X66) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_402])]) ).
fof(f1385,axiom,
! [X65,X63,X66,X64] :
( X63 = X65
| c_Message_Omsg_OMPair(X63,X64) != c_Message_Omsg_OMPair(X65,X66) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Omsg_Oinject__6__iff1_0) ).
fof(f3431,plain,
spl0_401,
inference(avatar_split_clause,[],[f1285,f3429]) ).
fof(f1285,axiom,
! [X18,X1] : c_in(c_Pair(X18,X18,X1,X1),c_Relation_OId,tc_prod(X1,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_OIdI_0) ).
fof(f3427,plain,
spl0_400,
inference(avatar_split_clause,[],[f1260,f3425]) ).
fof(f3425,plain,
( spl0_400
<=> ! [X21,X15] :
( ~ c_less(X15,X21,tc_nat)
| c_less(c_Suc(X15),c_Suc(X21),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_400])]) ).
fof(f1260,axiom,
! [X21,X15] :
( ~ c_less(X15,X21,tc_nat)
| c_less(c_Suc(X15),c_Suc(X21),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_OSuc__less__eq__iff2_0) ).
fof(f3423,plain,
spl0_399,
inference(avatar_split_clause,[],[f1259,f3421]) ).
fof(f3421,plain,
( spl0_399
<=> ! [X21,X15] :
( c_less(X15,X21,tc_nat)
| ~ c_less(c_Suc(X15),c_Suc(X21),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_399])]) ).
fof(f1259,axiom,
! [X21,X15] :
( c_less(X15,X21,tc_nat)
| ~ c_less(c_Suc(X15),c_Suc(X21),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_OSuc__less__eq__iff1_0) ).
fof(f3419,plain,
spl0_398,
inference(avatar_split_clause,[],[f1258,f3417]) ).
fof(f3417,plain,
( spl0_398
<=> ! [X21,X15] :
( ~ c_lessequals(X21,X15,tc_nat)
| c_lessequals(c_Suc(X21),c_Suc(X15),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_398])]) ).
fof(f1258,axiom,
! [X21,X15] :
( ~ c_lessequals(X21,X15,tc_nat)
| c_lessequals(c_Suc(X21),c_Suc(X15),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_OSuc__le__mono__iff2_0) ).
fof(f3415,plain,
spl0_397,
inference(avatar_split_clause,[],[f1257,f3413]) ).
fof(f3413,plain,
( spl0_397
<=> ! [X21,X15] :
( c_lessequals(X21,X15,tc_nat)
| ~ c_lessequals(c_Suc(X21),c_Suc(X15),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_397])]) ).
fof(f1257,axiom,
! [X21,X15] :
( c_lessequals(X21,X15,tc_nat)
| ~ c_lessequals(c_Suc(X21),c_Suc(X15),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_OSuc__le__mono__iff1_0) ).
fof(f3411,plain,
spl0_396,
inference(avatar_split_clause,[],[f1246,f3409]) ).
fof(f3409,plain,
( spl0_396
<=> ! [X25,X1,X23] :
( X23 = X25
| c_List_Orev(X23,X1) != c_List_Orev(X25,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_396])]) ).
fof(f1246,axiom,
! [X1,X25,X23] :
( X23 = X25
| c_List_Orev(X23,X1) != c_List_Orev(X25,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Orev__is__rev__conv__iff1_0) ).
fof(f3407,plain,
spl0_395,
inference(avatar_split_clause,[],[f1235,f3405]) ).
fof(f3405,plain,
( spl0_395
<=> ! [X1,X23] :
( c_List_Olist_ONil = X23
| c_less(c_0,c_Nat_Osize(X23,tc_List_Olist(X1)),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_395])]) ).
fof(f1235,axiom,
! [X1,X23] :
( c_List_Olist_ONil = X23
| c_less(c_0,c_Nat_Osize(X23,tc_List_Olist(X1)),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olength__greater__0__conv__iff2_0) ).
fof(f3403,plain,
spl0_394,
inference(avatar_split_clause,[],[f1231,f3401]) ).
fof(f3401,plain,
( spl0_394
<=> ! [X45,X44,X46,X47] :
( X45 = X47
| c_List_Ochar_OChar(X44,X45) != c_List_Ochar_OChar(X46,X47) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_394])]) ).
fof(f1231,axiom,
! [X46,X47,X44,X45] :
( X45 = X47
| c_List_Ochar_OChar(X44,X45) != c_List_Ochar_OChar(X46,X47) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Ochar_Oinject__iff1_1) ).
fof(f3399,plain,
spl0_393,
inference(avatar_split_clause,[],[f1230,f3397]) ).
fof(f3397,plain,
( spl0_393
<=> ! [X44,X47,X46,X45] :
( X44 = X46
| c_List_Ochar_OChar(X44,X45) != c_List_Ochar_OChar(X46,X47) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_393])]) ).
fof(f1230,axiom,
! [X46,X47,X44,X45] :
( X44 = X46
| c_List_Ochar_OChar(X44,X45) != c_List_Ochar_OChar(X46,X47) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Ochar_Oinject__iff1_0) ).
fof(f3395,plain,
spl0_392,
inference(avatar_split_clause,[],[f1209,f3393]) ).
fof(f1209,axiom,
! [X11,X42] :
( ~ c_Divides_Oop_Advd(X42,X11,tc_IntDef_Oint)
| c_Divides_Oop_Advd(c_uminus(X42,tc_IntDef_Oint),X11,tc_IntDef_Oint) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Ozminus__dvd__iff__iff2_0) ).
fof(f3391,plain,
spl0_391,
inference(avatar_split_clause,[],[f1208,f3389]) ).
fof(f1208,axiom,
! [X11,X42] :
( c_Divides_Oop_Advd(X42,X11,tc_IntDef_Oint)
| ~ c_Divides_Oop_Advd(c_uminus(X42,tc_IntDef_Oint),X11,tc_IntDef_Oint) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Ozminus__dvd__iff__iff1_0) ).
fof(f3387,plain,
spl0_390,
inference(avatar_split_clause,[],[f1205,f3385]) ).
fof(f1205,axiom,
! [X11,X42] :
( ~ c_Divides_Oop_Advd(X42,X11,tc_IntDef_Oint)
| c_Divides_Oop_Advd(X42,c_uminus(X11,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Odvd__zminus__iff__iff2_0) ).
fof(f3383,plain,
spl0_389,
inference(avatar_split_clause,[],[f1204,f3381]) ).
fof(f1204,axiom,
! [X11,X42] :
( c_Divides_Oop_Advd(X42,X11,tc_IntDef_Oint)
| ~ c_Divides_Oop_Advd(X42,c_uminus(X11,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Odvd__zminus__iff__iff1_0) ).
fof(f3379,plain,
spl0_388,
inference(avatar_split_clause,[],[f1181,f3377]) ).
fof(f3377,plain,
( spl0_388
<=> ! [X9,X7,X16,X2,X1] : c_Datatype__Universe_OScons(X9,X7,X1,X2) != c_Datatype__Universe_ONumb(X16,X1,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_388])]) ).
fof(f1181,axiom,
! [X2,X1,X9,X7,X16] : c_Datatype__Universe_OScons(X9,X7,X1,X2) != c_Datatype__Universe_ONumb(X16,X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OScons__not__Numb__iff1_0) ).
fof(f3375,plain,
spl0_387,
inference(avatar_split_clause,[],[f1180,f3373]) ).
fof(f3373,plain,
( spl0_387
<=> ! [X18,X7,X9,X2,X1] : c_Datatype__Universe_OScons(X9,X7,X1,X2) != c_Datatype__Universe_OLeaf(X18,X1,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_387])]) ).
fof(f1180,axiom,
! [X2,X1,X18,X9,X7] : c_Datatype__Universe_OScons(X9,X7,X1,X2) != c_Datatype__Universe_OLeaf(X18,X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OScons__not__Leaf__iff1_0) ).
fof(f3371,plain,
spl0_386,
inference(avatar_split_clause,[],[f1168,f3369]) ).
fof(f3369,plain,
( spl0_386
<=> ! [X18,X7,X9,X2,X1] : c_Datatype__Universe_OScons(X9,X7,X1,X2) != c_Datatype__Universe_OAtom(X18,X1,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_386])]) ).
fof(f1168,axiom,
! [X2,X1,X18,X9,X7] : c_Datatype__Universe_OScons(X9,X7,X1,X2) != c_Datatype__Universe_OAtom(X18,X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OAtom__not__Scons__iff1_0) ).
fof(f3367,plain,
spl0_385,
inference(avatar_split_clause,[],[f1166,f3365]) ).
fof(f1166,axiom,
! [X41,X18,X1] :
( X18 = X41
| c_Datatype_Ooption_OSome(X41,X1) != c_Datatype_Ooption_OSome(X18,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype_Ooption_Oinject__iff1_0) ).
fof(f3363,plain,
spl0_384,
inference(avatar_split_clause,[],[f1163,f3361]) ).
fof(f1163,axiom,
! [X0,X1] :
( c_Datatype_Ooption_ONone = X0
| c_Datatype_Ooption_OSome(c_Main_Onot__Some__eq__iff1__1(X0,X1),X1) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype_Onot__Some__eq__iff1_0) ).
fof(f3359,plain,
spl0_383,
inference(avatar_split_clause,[],[f1162,f3357]) ).
fof(f1162,axiom,
! [X0,X1] :
( c_Datatype_Ooption_ONone = X0
| c_Datatype_Ooption_OSome(c_Main_Onot__None__eq__iff1__1(X0,X1),X1) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype_Onot__None__eq__iff1_0) ).
fof(f3355,plain,
spl0_382,
inference(avatar_split_clause,[],[f105,f3353]) ).
fof(f105,axiom,
! [X18,X1,X27] :
( X18 = X27
| ~ c_in(X27,c_insert(X18,c_emptyset,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsingletonD__dest_0) ).
fof(f3351,plain,
spl0_381,
inference(avatar_split_clause,[],[f103,f3349]) ).
fof(f3349,plain,
( spl0_381
<=> ! [X13,X12,X1] :
( ~ c_less(X12,X13,tc_set(X1))
| c_lessequals(X12,X13,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_381])]) ).
fof(f103,axiom,
! [X1,X12,X13] :
( ~ c_less(X12,X13,tc_set(X1))
| c_lessequals(X12,X13,tc_set(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OpsubsetE_1) ).
fof(f3347,plain,
spl0_380,
inference(avatar_split_clause,[],[f102,f3345]) ).
fof(f3345,plain,
( spl0_380
<=> ! [X13,X12,X1] :
( ~ c_less(X12,X13,tc_set(X1))
| ~ c_lessequals(X13,X12,tc_set(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_380])]) ).
fof(f102,axiom,
! [X1,X12,X13] :
( ~ c_less(X12,X13,tc_set(X1))
| ~ c_lessequals(X13,X12,tc_set(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OpsubsetE_0) ).
fof(f3327,plain,
spl0_379,
inference(avatar_split_clause,[],[f1395,f3325]) ).
fof(f1395,axiom,
! [X55,X53] :
( ~ c_in(X53,X55,tc_Message_Omsg)
| c_in(X53,c_Message_Osynth(X55),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Osynth_OInj_0) ).
fof(f3323,plain,
spl0_378,
inference(avatar_split_clause,[],[f1389,f3321]) ).
fof(f1389,axiom,
! [X55,X53] :
( ~ c_in(X53,X55,tc_Message_Omsg)
| c_in(X53,c_Message_Oparts(X55),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts_OInj_0) ).
fof(f3319,plain,
spl0_377,
inference(avatar_split_clause,[],[f1377,f3317]) ).
fof(f1377,axiom,
! [X55,X53] :
( ~ c_in(X53,X55,tc_Message_Omsg)
| c_in(X53,c_Message_Oanalz(X55),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz_OInj_0) ).
fof(f3315,plain,
spl0_376,
inference(avatar_split_clause,[],[f1349,f3313]) ).
fof(f3313,plain,
( spl0_376
<=> ! [X5,X1] :
( ~ c_Wellfounded__Recursion_Oacyclic(X5,X1)
| c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X5,X1,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_376])]) ).
fof(f1349,axiom,
! [X1,X5] :
( ~ c_Wellfounded__Recursion_Oacyclic(X5,X1)
| c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X5,X1,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Oacyclic__converse__iff2_0) ).
fof(f3311,plain,
spl0_375,
inference(avatar_split_clause,[],[f1348,f3309]) ).
fof(f3309,plain,
( spl0_375
<=> ! [X5,X1] :
( c_Wellfounded__Recursion_Oacyclic(X5,X1)
| ~ c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X5,X1,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_375])]) ).
fof(f1348,axiom,
! [X1,X5] :
( c_Wellfounded__Recursion_Oacyclic(X5,X1)
| ~ c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X5,X1,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Oacyclic__converse__iff1_0) ).
fof(f3307,plain,
spl0_374,
inference(avatar_split_clause,[],[f1345,f3305]) ).
fof(f3305,plain,
( spl0_374
<=> ! [X2,X27,X1,X18] : c_Sum__Type_OInl(X18,X1,X2) != c_Sum__Type_OInr(X27,X2,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_374])]) ).
fof(f1345,axiom,
! [X2,X18,X1,X27] : c_Sum__Type_OInl(X18,X1,X2) != c_Sum__Type_OInr(X27,X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Sum__Type_OInl__not__Inr__iff1_0) ).
fof(f3303,plain,
spl0_373,
inference(avatar_split_clause,[],[f1330,f3301]) ).
fof(f3301,plain,
( spl0_373
<=> ! [X13,X12,X1] :
( c_emptyset = X13
| c_emptyset != c_union(X12,X13,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_373])]) ).
fof(f1330,axiom,
! [X1,X12,X13] :
( c_emptyset = X13
| c_emptyset != c_union(X12,X13,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__empty__iff1_1) ).
fof(f3297,plain,
spl0_372,
inference(avatar_split_clause,[],[f1329,f3295]) ).
fof(f3295,plain,
( spl0_372
<=> ! [X13,X12,X1] :
( c_emptyset = X12
| c_emptyset != c_union(X12,X13,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_372])]) ).
fof(f1329,axiom,
! [X1,X12,X13] :
( c_emptyset = X12
| c_emptyset != c_union(X12,X13,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__empty__iff1_0) ).
fof(f3293,plain,
spl0_371,
inference(avatar_split_clause,[],[f1267,f3291]) ).
fof(f3291,plain,
( spl0_371
<=> ! [X21,X15] :
( c_0 = X21
| c_0 != c_plus(X15,X21,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_371])]) ).
fof(f1267,axiom,
! [X21,X15] :
( c_0 = X21
| c_0 != c_plus(X15,X21,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oadd__is__0__iff1_1) ).
fof(f3289,plain,
spl0_370,
inference(avatar_split_clause,[],[f1266,f3287]) ).
fof(f3287,plain,
( spl0_370
<=> ! [X21,X15] :
( c_0 = X15
| c_0 != c_plus(X15,X21,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_370])]) ).
fof(f1266,axiom,
! [X21,X15] :
( c_0 = X15
| c_0 != c_plus(X15,X21,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oadd__is__0__iff1_0) ).
fof(f3285,plain,
spl0_369,
inference(avatar_split_clause,[],[f1250,f3283]) ).
fof(f3283,plain,
( spl0_369
<=> ! [X25,X1,X23] :
( c_List_Olist_ONil = X25
| c_append(X23,X25,X1) != X23 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_369])]) ).
fof(f1250,axiom,
! [X1,X25,X23] :
( c_List_Olist_ONil = X25
| c_append(X23,X25,X1) != X23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oself__append__conv__iff1_0) ).
fof(f3281,plain,
spl0_368,
inference(avatar_split_clause,[],[f1248,f3279]) ).
fof(f3279,plain,
( spl0_368
<=> ! [X25,X1,X23] :
( c_List_Olist_ONil = X23
| c_append(X23,X25,X1) != X25 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_368])]) ).
fof(f1248,axiom,
! [X1,X25,X23] :
( c_List_Olist_ONil = X23
| c_append(X23,X25,X1) != X25 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oself__append__conv2__iff1_0) ).
fof(f3277,plain,
spl0_367,
inference(avatar_split_clause,[],[f1232,f3275]) ).
fof(f3275,plain,
( spl0_367
<=> ! [X1,X23] :
( c_List_Olist_ONil = X23
| c_0 != c_Nat_Osize(X23,tc_List_Olist(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_367])]) ).
fof(f1232,axiom,
! [X1,X23] :
( c_List_Olist_ONil = X23
| c_0 != c_Nat_Osize(X23,tc_List_Olist(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olength__0__conv__iff1_0) ).
fof(f3273,plain,
spl0_366,
inference(avatar_split_clause,[],[f1223,f3271]) ).
fof(f3271,plain,
( spl0_366
<=> ! [X25,X1,X23] :
( c_List_Olist_ONil = X25
| c_List_Olist_ONil != c_append(X23,X25,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_366])]) ).
fof(f1223,axiom,
! [X1,X25,X23] :
( c_List_Olist_ONil = X25
| c_List_Olist_ONil != c_append(X23,X25,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oappend__is__Nil__conv__iff1_1) ).
fof(f3269,plain,
spl0_365,
inference(avatar_split_clause,[],[f1222,f3267]) ).
fof(f3267,plain,
( spl0_365
<=> ! [X25,X1,X23] :
( c_List_Olist_ONil = X23
| c_List_Olist_ONil != c_append(X23,X25,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_365])]) ).
fof(f1222,axiom,
! [X1,X25,X23] :
( c_List_Olist_ONil = X23
| c_List_Olist_ONil != c_append(X23,X25,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oappend__is__Nil__conv__iff1_0) ).
fof(f3265,plain,
spl0_364,
inference(avatar_split_clause,[],[f1184,f3263]) ).
fof(f3263,plain,
( spl0_364
<=> ! [X5,X12,X1] :
( c_emptyset = X12
| c_emptyset != c_Equiv__Relations_Oquotient(X12,X5,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_364])]) ).
fof(f1184,axiom,
! [X1,X5,X12] :
( c_emptyset = X12
| c_emptyset != c_Equiv__Relations_Oquotient(X12,X5,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Equiv__Relations_Oquotient__is__empty2__iff1_0) ).
fof(f3261,plain,
spl0_363,
inference(avatar_split_clause,[],[f1175,f3259]) ).
fof(f3259,plain,
( spl0_363
<=> ! [X2,X16,X1,X18] : c_Datatype__Universe_OLeaf(X18,X1,X2) != c_Datatype__Universe_ONumb(X16,X1,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_363])]) ).
fof(f1175,axiom,
! [X2,X18,X1,X16] : c_Datatype__Universe_OLeaf(X18,X1,X2) != c_Datatype__Universe_ONumb(X16,X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_ONumb__not__Leaf__iff1_0) ).
fof(f3255,plain,
spl0_362,
inference(avatar_split_clause,[],[f1172,f3253]) ).
fof(f3253,plain,
( spl0_362
<=> ! [X2,X1,X7,X9] : c_Datatype__Universe_OIn0(X9,X1,X2) != c_Datatype__Universe_OIn1(X7,X1,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_362])]) ).
fof(f1172,axiom,
! [X2,X1,X9,X7] : c_Datatype__Universe_OIn0(X9,X1,X2) != c_Datatype__Universe_OIn1(X7,X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype__Universe_OIn1__not__In0__iff1_0) ).
fof(f3251,plain,
spl0_361,
inference(avatar_split_clause,[],[f63,f3249]) ).
fof(f3249,plain,
( spl0_361
<=> ! [X5,X1] :
( ~ c_Wellfounded__Recursion_Owf(X5,X1)
| c_Wellfounded__Recursion_Owf(c_List_Olex(X5,X1),tc_List_Olist(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_361])]) ).
fof(f63,axiom,
! [X1,X5] :
( ~ c_Wellfounded__Recursion_Owf(X5,X1)
| c_Wellfounded__Recursion_Owf(c_List_Olex(X5,X1),tc_List_Olist(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Owf__lex_0) ).
fof(f3247,plain,
spl0_360,
inference(avatar_split_clause,[],[f62,f3245]) ).
fof(f3245,plain,
( spl0_360
<=> ! [X5,X1] :
( ~ c_Wellfounded__Recursion_Owf(X5,X1)
| c_Wellfounded__Recursion_Owf(c_List_Olenlex(X5,X1),tc_List_Olist(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_360])]) ).
fof(f62,axiom,
! [X1,X5] :
( ~ c_Wellfounded__Recursion_Owf(X5,X1)
| c_Wellfounded__Recursion_Owf(c_List_Olenlex(X5,X1),tc_List_Olist(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Owf__lenlex_0) ).
fof(f3243,plain,
spl0_359,
inference(avatar_split_clause,[],[f38,f3241]) ).
fof(f3241,plain,
( spl0_359
<=> ! [X21,X15] : c_less(c_uminus(c_IntDef_Oint(c_Suc(X21)),tc_IntDef_Oint),c_IntDef_Oint(X15),tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_359])]) ).
fof(f38,axiom,
! [X21,X15] : c_less(c_uminus(c_IntDef_Oint(c_Suc(X21)),tc_IntDef_Oint),c_IntDef_Oint(X15),tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDef_Onegative__zless_0) ).
fof(f3239,plain,
spl0_358,
inference(avatar_split_clause,[],[f35,f3237]) ).
fof(f35,axiom,
! [X21,X15] : c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X15,X21,tc_nat,tc_nat)),X21,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_GCD_Ogcd__dvd2_0) ).
fof(f3235,plain,
spl0_357,
inference(avatar_split_clause,[],[f34,f3233]) ).
fof(f34,axiom,
! [X21,X15] : c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X15,X21,tc_nat,tc_nat)),X15,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_GCD_Ogcd__dvd1_0) ).
fof(f3214,plain,
( spl0_356
| ~ spl0_316
| ~ spl0_322 ),
inference(avatar_split_clause,[],[f3093,f3060,f3036,f3212]) ).
fof(f3212,plain,
( spl0_356
<=> ! [X0] : c_0 = c_times(X0,c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_356])]) ).
fof(f3093,plain,
( ! [X0] : c_0 = c_times(X0,c_0,tc_IntDef_Oint)
| ~ spl0_316
| ~ spl0_322 ),
inference(resolution,[],[f3061,f3037]) ).
fof(f3210,plain,
spl0_355,
inference(avatar_split_clause,[],[f1384,f3208]) ).
fof(f3208,plain,
( spl0_355
<=> ! [X61,X62] :
( X61 = X62
| c_Message_Omsg_OHash(X61) != c_Message_Omsg_OHash(X62) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_355])]) ).
fof(f1384,axiom,
! [X62,X61] :
( X61 = X62
| c_Message_Omsg_OHash(X61) != c_Message_Omsg_OHash(X62) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Omsg_Oinject__5__iff1_0) ).
fof(f3206,plain,
spl0_354,
inference(avatar_split_clause,[],[f1383,f3204]) ).
fof(f3204,plain,
( spl0_354
<=> ! [X57,X58] :
( X57 = X58
| c_Message_Omsg_OKey(X58) != c_Message_Omsg_OKey(X57) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_354])]) ).
fof(f1383,axiom,
! [X58,X57] :
( X57 = X58
| c_Message_Omsg_OKey(X58) != c_Message_Omsg_OKey(X57) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Omsg_Oinject__4__iff1_0) ).
fof(f3202,plain,
spl0_353,
inference(avatar_split_clause,[],[f1382,f3200]) ).
fof(f3200,plain,
( spl0_353
<=> ! [X57,X58] :
( X57 = X58
| c_Message_Omsg_ONonce(X58) != c_Message_Omsg_ONonce(X57) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_353])]) ).
fof(f1382,axiom,
! [X58,X57] :
( X57 = X58
| c_Message_Omsg_ONonce(X58) != c_Message_Omsg_ONonce(X57) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Omsg_Oinject__3__iff1_0) ).
fof(f3198,plain,
spl0_352,
inference(avatar_split_clause,[],[f1381,f3196]) ).
fof(f3196,plain,
( spl0_352
<=> ! [X57,X58] :
( X57 = X58
| c_Message_Omsg_ONumber(X58) != c_Message_Omsg_ONumber(X57) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_352])]) ).
fof(f1381,axiom,
! [X58,X57] :
( X57 = X58
| c_Message_Omsg_ONumber(X58) != c_Message_Omsg_ONumber(X57) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Omsg_Oinject__2__iff1_0) ).
fof(f3194,plain,
spl0_351,
inference(avatar_split_clause,[],[f1380,f3192]) ).
fof(f3192,plain,
( spl0_351
<=> ! [X60,X59] :
( X59 = X60
| c_Message_Omsg_OAgent(X59) != c_Message_Omsg_OAgent(X60) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_351])]) ).
fof(f1380,axiom,
! [X59,X60] :
( X59 = X60
| c_Message_Omsg_OAgent(X59) != c_Message_Omsg_OAgent(X60) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Omsg_Oinject__1__iff1_0) ).
fof(f3190,plain,
spl0_350,
inference(avatar_split_clause,[],[f1375,f3188]) ).
fof(f3188,plain,
( spl0_350
<=> ! [X57,X58] :
( X57 = X58
| c_Message_Oagent_OFriend(X57) != c_Message_Oagent_OFriend(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_350])]) ).
fof(f1375,axiom,
! [X58,X57] :
( X57 = X58
| c_Message_Oagent_OFriend(X57) != c_Message_Oagent_OFriend(X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oagent_Oinject__iff1_0) ).
fof(f3186,plain,
spl0_349,
inference(avatar_split_clause,[],[f1271,f3184]) ).
fof(f3184,plain,
( spl0_349
<=> ! [X21] :
( c_0 = X21
| ~ c_less(X21,c_Suc(c_0),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_349])]) ).
fof(f1271,axiom,
! [X21] :
( c_0 = X21
| ~ c_less(X21,c_Suc(c_0),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oless__Suc0__iff1_0) ).
fof(f3182,plain,
spl0_348,
inference(avatar_split_clause,[],[f1256,f3180]) ).
fof(f3180,plain,
( spl0_348
<=> ! [X21,X15] :
( X15 = X21
| c_Suc(X21) != c_Suc(X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_348])]) ).
fof(f1256,axiom,
! [X21,X15] :
( X15 = X21
| c_Suc(X21) != c_Suc(X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_OSuc__Suc__eq__iff1_0) ).
fof(f3178,plain,
spl0_347,
inference(avatar_split_clause,[],[f1254,f3176]) ).
fof(f3176,plain,
( spl0_347
<=> ! [X1,X23] :
( c_List_Olist_ONil = X23
| c_emptyset != c_List_Oset(X23,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_347])]) ).
fof(f1254,axiom,
! [X1,X23] :
( c_List_Olist_ONil = X23
| c_emptyset != c_List_Oset(X23,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oset__empty__iff1_0) ).
fof(f3174,plain,
spl0_346,
inference(avatar_split_clause,[],[f1214,f3172]) ).
fof(f3172,plain,
( spl0_346
<=> ! [X1,X23] :
( c_List_Olist_ONil = X23
| c_List_Olist_ONil != c_List_Orev(X23,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_346])]) ).
fof(f1214,axiom,
! [X1,X23] :
( c_List_Olist_ONil = X23
| c_List_Olist_ONil != c_List_Orev(X23,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_ONil__is__rev__conv__iff1_0) ).
fof(f3170,plain,
( spl0_345
| ~ spl0_315
| ~ spl0_322 ),
inference(avatar_split_clause,[],[f3092,f3060,f3032,f3168]) ).
fof(f3168,plain,
( spl0_345
<=> ! [X0] : c_0 = c_times(c_0,X0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_345])]) ).
fof(f3092,plain,
( ! [X0] : c_0 = c_times(c_0,X0,tc_IntDef_Oint)
| ~ spl0_315
| ~ spl0_322 ),
inference(resolution,[],[f3061,f3033]) ).
fof(f3166,plain,
spl0_344,
inference(avatar_split_clause,[],[f1203,f3164]) ).
fof(f3164,plain,
( spl0_344
<=> ! [X21,X15] :
( X15 = X21
| c_IntDef_Oint(X21) != c_IntDef_Oint(X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_344])]) ).
fof(f1203,axiom,
! [X21,X15] :
( X15 = X21
| c_IntDef_Oint(X21) != c_IntDef_Oint(X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDef_Oint__int__eq__iff1_0) ).
fof(f3162,plain,
spl0_343,
inference(avatar_split_clause,[],[f1161,f3160]) ).
fof(f1161,axiom,
! [X0,X1] : c_in(X0,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X0,X1),X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype_Oelem__o2s__iff2_0) ).
fof(f3158,plain,
spl0_342,
inference(avatar_split_clause,[],[f252,f3156]) ).
fof(f3156,plain,
( spl0_342
<=> ! [X38,X37] :
( ~ class_Finite__Set_Ofinite(X38)
| ~ class_Finite__Set_Ofinite(X37)
| class_Finite__Set_Ofinite(tc_sum(X38,X37)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_342])]) ).
fof(f252,axiom,
! [X38,X37] :
( ~ class_Finite__Set_Ofinite(X38)
| ~ class_Finite__Set_Ofinite(X37)
| class_Finite__Set_Ofinite(tc_sum(X38,X37)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_sum_0) ).
fof(f3154,plain,
spl0_341,
inference(avatar_split_clause,[],[f246,f3152]) ).
fof(f3152,plain,
( spl0_341
<=> ! [X38,X37] :
( ~ class_Finite__Set_Ofinite(X38)
| ~ class_Finite__Set_Ofinite(X37)
| class_Finite__Set_Ofinite(tc_prod(X38,X37)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_341])]) ).
fof(f246,axiom,
! [X38,X37] :
( ~ class_Finite__Set_Ofinite(X38)
| ~ class_Finite__Set_Ofinite(X37)
| class_Finite__Set_Ofinite(tc_prod(X38,X37)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_prod_0) ).
fof(f3150,plain,
spl0_340,
inference(avatar_split_clause,[],[f196,f3148]) ).
fof(f3148,plain,
( spl0_340
<=> ! [X38,X37] :
( ~ class_Finite__Set_Ofinite(X38)
| ~ class_Finite__Set_Ofinite(X37)
| class_Finite__Set_Ofinite(tc_fun(X38,X37)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_340])]) ).
fof(f196,axiom,
! [X38,X37] :
( ~ class_Finite__Set_Ofinite(X38)
| ~ class_Finite__Set_Ofinite(X37)
| class_Finite__Set_Ofinite(tc_fun(X38,X37)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun_0) ).
fof(f3146,plain,
spl0_339,
inference(avatar_split_clause,[],[f94,f3144]) ).
fof(f94,axiom,
! [X26,X14] : c_in(c_SetInterval_OgreaterThanLessThan(X26,X14,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__greaterThanLessThan__int_0) ).
fof(f3142,plain,
spl0_338,
inference(avatar_split_clause,[],[f93,f3140]) ).
fof(f93,axiom,
! [X26,X14] : c_in(c_SetInterval_OgreaterThanLessThan(X26,X14,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__greaterThanLessThan_0) ).
fof(f3138,plain,
spl0_337,
inference(avatar_split_clause,[],[f92,f3136]) ).
fof(f92,axiom,
! [X26,X14] : c_in(c_SetInterval_OgreaterThanAtMost(X26,X14,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__greaterThanAtMost__int_0) ).
fof(f3134,plain,
spl0_336,
inference(avatar_split_clause,[],[f91,f3132]) ).
fof(f91,axiom,
! [X26,X14] : c_in(c_SetInterval_OgreaterThanAtMost(X26,X14,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__greaterThanAtMost_0) ).
fof(f3130,plain,
spl0_335,
inference(avatar_split_clause,[],[f89,f3128]) ).
fof(f89,axiom,
! [X26,X14] : c_in(c_SetInterval_OatLeastLessThan(X26,X14,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__atLeastLessThan__int_0) ).
fof(f3126,plain,
( spl0_334
| ~ spl0_314
| ~ spl0_321 ),
inference(avatar_split_clause,[],[f3090,f3056,f3028,f3124]) ).
fof(f3124,plain,
( spl0_334
<=> ! [X0] : c_0 = c_times(X0,c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_334])]) ).
fof(f3028,plain,
( spl0_314
<=> ! [X16,X15] : c_Divides_Oop_Advd(X16,c_times(X15,X16,tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_314])]) ).
fof(f3090,plain,
( ! [X0] : c_0 = c_times(X0,c_0,tc_nat)
| ~ spl0_314
| ~ spl0_321 ),
inference(resolution,[],[f3057,f3029]) ).
fof(f3029,plain,
( ! [X16,X15] : c_Divides_Oop_Advd(X16,c_times(X15,X16,tc_nat),tc_nat)
| ~ spl0_314 ),
inference(avatar_component_clause,[],[f3028]) ).
fof(f3122,plain,
spl0_333,
inference(avatar_split_clause,[],[f88,f3120]) ).
fof(f88,axiom,
! [X26,X14] : c_in(c_SetInterval_OatLeastLessThan(X26,X14,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__atLeastLessThan_0) ).
fof(f3118,plain,
spl0_332,
inference(avatar_split_clause,[],[f87,f3116]) ).
fof(f87,axiom,
! [X26,X14] : c_in(c_SetInterval_OatLeastAtMost(X26,X14,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__atLeastAtMost__int_0) ).
fof(f3114,plain,
spl0_331,
inference(avatar_split_clause,[],[f86,f3112]) ).
fof(f86,axiom,
! [X26,X14] : c_in(c_SetInterval_OatLeastAtMost(X26,X14,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__atLeastAtMost_0) ).
fof(f3110,plain,
spl0_330,
inference(avatar_split_clause,[],[f37,f3108]) ).
fof(f3108,plain,
( spl0_330
<=> ! [X21,X15] : c_lessequals(c_uminus(c_IntDef_Oint(X21),tc_IntDef_Oint),c_IntDef_Oint(X15),tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_330])]) ).
fof(f37,axiom,
! [X21,X15] : c_lessequals(c_uminus(c_IntDef_Oint(X21),tc_IntDef_Oint),c_IntDef_Oint(X15),tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDef_Onegative__zle_0) ).
fof(f3097,plain,
( spl0_329
| ~ spl0_313
| ~ spl0_321 ),
inference(avatar_split_clause,[],[f3089,f3056,f3024,f3095]) ).
fof(f3095,plain,
( spl0_329
<=> ! [X0] : c_0 = c_times(c_0,X0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_329])]) ).
fof(f3024,plain,
( spl0_313
<=> ! [X16,X15] : c_Divides_Oop_Advd(X16,c_times(X16,X15,tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_313])]) ).
fof(f3089,plain,
( ! [X0] : c_0 = c_times(c_0,X0,tc_nat)
| ~ spl0_313
| ~ spl0_321 ),
inference(resolution,[],[f3057,f3025]) ).
fof(f3025,plain,
( ! [X16,X15] : c_Divides_Oop_Advd(X16,c_times(X16,X15,tc_nat),tc_nat)
| ~ spl0_313 ),
inference(avatar_component_clause,[],[f3024]) ).
fof(f3086,plain,
spl0_328,
inference(avatar_split_clause,[],[f1335,f3084]) ).
fof(f1335,axiom,
! [X0,X1,X13] : c_in(X0,c_insert(X0,X13,X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).
fof(f3082,plain,
spl0_327,
inference(avatar_split_clause,[],[f1278,f3080]) ).
fof(f3080,plain,
( spl0_327
<=> ! [X50,X51] : ~ c_less(c_plus(X51,X50,tc_nat),X50,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_327])]) ).
fof(f1278,axiom,
! [X50,X51] : ~ c_less(c_plus(X51,X50,tc_nat),X50,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Onot__add__less2__iff1_0) ).
fof(f3078,plain,
spl0_326,
inference(avatar_split_clause,[],[f1277,f3076]) ).
fof(f3076,plain,
( spl0_326
<=> ! [X50,X51] : ~ c_less(c_plus(X50,X51,tc_nat),X50,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_326])]) ).
fof(f1277,axiom,
! [X50,X51] : ~ c_less(c_plus(X50,X51,tc_nat),X50,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Onot__add__less1__iff1_0) ).
fof(f3074,plain,
spl0_325,
inference(avatar_split_clause,[],[f1275,f3072]) ).
fof(f1275,axiom,
! [X21] :
( c_0 = X21
| c_less(c_0,X21,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oneq0__conv__iff1_0) ).
fof(f3070,plain,
spl0_324,
inference(avatar_split_clause,[],[f1273,f3068]) ).
fof(f3068,plain,
( spl0_324
<=> ! [X21] :
( c_0 = X21
| ~ c_less(X21,c_1,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_324])]) ).
fof(f1273,axiom,
! [X21] :
( c_0 = X21
| ~ c_less(X21,c_1,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oless__one__iff1_0) ).
fof(f3066,plain,
spl0_323,
inference(avatar_split_clause,[],[f1269,f3064]) ).
fof(f3064,plain,
( spl0_323
<=> ! [X50] :
( c_0 = X50
| ~ c_lessequals(X50,c_0,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_323])]) ).
fof(f1269,axiom,
! [X50] :
( c_0 = X50
| ~ c_lessequals(X50,c_0,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Ole__0__eq__iff1_0) ).
fof(f3062,plain,
spl0_322,
inference(avatar_split_clause,[],[f1206,f3060]) ).
fof(f1206,axiom,
! [X15] :
( c_0 = X15
| ~ c_Divides_Oop_Advd(c_0,X15,tc_IntDef_Oint) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Ozdvd__0__left__iff1_0) ).
fof(f3058,plain,
spl0_321,
inference(avatar_split_clause,[],[f1182,f3056]) ).
fof(f1182,axiom,
! [X15] :
( c_0 = X15
| ~ c_Divides_Oop_Advd(c_0,X15,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Divides_Odvd__0__left__iff__iff1_0) ).
fof(f3054,plain,
spl0_320,
inference(avatar_split_clause,[],[f95,f3052]) ).
fof(f95,axiom,
! [X16] : c_in(c_SetInterval_OlessThan(X16,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__lessThan_0) ).
fof(f3050,plain,
spl0_319,
inference(avatar_split_clause,[],[f90,f3048]) ).
fof(f90,axiom,
! [X16] : c_in(c_SetInterval_OatMost(X16,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__atMost_0) ).
fof(f3046,plain,
spl0_318,
inference(avatar_split_clause,[],[f61,f3044]) ).
fof(f3044,plain,
( spl0_318
<=> ! [X12,X1] : c_in(c_List_Olist_ONil,c_List_Olists(X12,X1),tc_List_Olist(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_318])]) ).
fof(f61,axiom,
! [X1,X12] : c_in(c_List_Olist_ONil,c_List_Olists(X12,X1),tc_List_Olist(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olists_ONil_0) ).
fof(f3042,plain,
spl0_317,
inference(avatar_split_clause,[],[f45,f3040]) ).
fof(f45,axiom,
! [X1,X23] : c_in(c_List_Oset(X23,X1),c_Finite__Set_OFinites,tc_set(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Ofinite__set_0) ).
fof(f3038,plain,
spl0_316,
inference(avatar_split_clause,[],[f42,f3036]) ).
fof(f42,axiom,
! [X16,X15] : c_Divides_Oop_Advd(X16,c_times(X15,X16,tc_IntDef_Oint),tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Ozdvd__triv__right_0) ).
fof(f3034,plain,
spl0_315,
inference(avatar_split_clause,[],[f41,f3032]) ).
fof(f41,axiom,
! [X16,X15] : c_Divides_Oop_Advd(X16,c_times(X16,X15,tc_IntDef_Oint),tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Ozdvd__triv__left_0) ).
fof(f3030,plain,
spl0_314,
inference(avatar_split_clause,[],[f26,f3028]) ).
fof(f26,axiom,
! [X16,X15] : c_Divides_Oop_Advd(X16,c_times(X15,X16,tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Divides_Odvd__triv__right_0) ).
fof(f3026,plain,
spl0_313,
inference(avatar_split_clause,[],[f25,f3024]) ).
fof(f25,axiom,
! [X16,X15] : c_Divides_Oop_Advd(X16,c_times(X16,X15,tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Divides_Odvd__triv__left_0) ).
fof(f3022,plain,
spl0_312,
inference(avatar_split_clause,[],[f1397,f3020]) ).
fof(f3020,plain,
( spl0_312
<=> ! [X21,X55] : c_in(c_Message_Omsg_ONumber(X21),c_Message_Osynth(X55),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_312])]) ).
fof(f1397,axiom,
! [X21,X55] : c_in(c_Message_Omsg_ONumber(X21),c_Message_Osynth(X55),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Osynth_ONumber_0) ).
fof(f3018,plain,
spl0_311,
inference(avatar_split_clause,[],[f1392,f3016]) ).
fof(f3016,plain,
( spl0_311
<=> ! [X55,X67] : c_in(c_Message_Omsg_OAgent(X67),c_Message_Osynth(X55),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_311])]) ).
fof(f1392,axiom,
! [X55,X67] : c_in(c_Message_Omsg_OAgent(X67),c_Message_Osynth(X55),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Osynth_OAgent_0) ).
fof(f3014,plain,
spl0_310,
inference(avatar_split_clause,[],[f1331,f3012]) ).
fof(f3012,plain,
( spl0_310
<=> ! [X1] : c_emptyset = c_union(c_emptyset,c_emptyset,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_310])]) ).
fof(f1331,axiom,
! [X1] : c_emptyset = c_union(c_emptyset,c_emptyset,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__empty__iff2_0) ).
fof(f3010,plain,
spl0_309,
inference(avatar_split_clause,[],[f1282,f3008]) ).
fof(f3008,plain,
( spl0_309
<=> ! [X0,X1] :
( ~ class_Orderings_Oorder(X1)
| ~ c_less(X0,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_309])]) ).
fof(f1282,axiom,
! [X0,X1] :
( ~ class_Orderings_Oorder(X1)
| ~ c_less(X0,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__less__irrefl__iff1_0) ).
fof(f3006,plain,
spl0_308,
inference(avatar_split_clause,[],[f1268,f3003]) ).
fof(f3003,plain,
( spl0_308
<=> c_0 = c_plus(c_0,c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_308])]) ).
fof(f1268,axiom,
c_0 = c_plus(c_0,c_0,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oadd__is__0__iff2_0) ).
fof(f3001,plain,
spl0_307,
inference(avatar_split_clause,[],[f1239,f2999]) ).
fof(f2999,plain,
( spl0_307
<=> ! [X41,X48,X1] : c_List_Olist_ONil != c_List_Olist_OCons(X41,X48,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_307])]) ).
fof(f1239,axiom,
! [X41,X48,X1] : c_List_Olist_ONil != c_List_Olist_OCons(X41,X48,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olist_Odistinct__2__iff1_0) ).
fof(f2997,plain,
spl0_306,
inference(avatar_split_clause,[],[f1233,f2995]) ).
fof(f1233,axiom,
! [X1] : c_0 = c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Olength__0__conv__iff2_0) ).
fof(f2993,plain,
spl0_305,
inference(avatar_split_clause,[],[f1229,f2991]) ).
fof(f1229,axiom,
! [X1,X23] : c_append(X23,c_List_Olist_ONil,X1) = X23,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oappend__self__conv__iff2_0) ).
fof(f2989,plain,
spl0_304,
inference(avatar_split_clause,[],[f1227,f2987]) ).
fof(f1227,axiom,
! [X1,X25] : c_append(c_List_Olist_ONil,X25,X1) = X25,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oappend__self__conv2__iff2_0) ).
fof(f2985,plain,
spl0_303,
inference(avatar_split_clause,[],[f1187,f2983]) ).
fof(f2983,plain,
( spl0_303
<=> ! [X5,X1] : c_emptyset = c_Equiv__Relations_Oquotient(c_emptyset,X5,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_303])]) ).
fof(f1187,axiom,
! [X1,X5] : c_emptyset = c_Equiv__Relations_Oquotient(c_emptyset,X5,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Equiv__Relations_Oquotient__is__empty__iff2_0) ).
fof(f2981,plain,
spl0_302,
inference(avatar_split_clause,[],[f68,f2979]) ).
fof(f2979,plain,
( spl0_302
<=> ! [X0,X1] :
( ~ class_Orderings_Oorder(X1)
| c_lessequals(X0,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_302])]) ).
fof(f68,axiom,
! [X0,X1] :
( ~ class_Orderings_Oorder(X1)
| c_lessequals(X0,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oaxioms__1_0) ).
fof(f2977,plain,
spl0_301,
inference(avatar_split_clause,[],[f1390,f2975]) ).
fof(f1390,axiom,
! [X53] : ~ c_in(X53,c_Message_Oparts(c_emptyset),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__emptyE_0) ).
fof(f2973,plain,
spl0_300,
inference(avatar_split_clause,[],[f1337,f2971]) ).
fof(f2971,plain,
( spl0_300
<=> ! [X12,X1] : ~ c_less(X12,c_emptyset,tc_set(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_300])]) ).
fof(f1337,axiom,
! [X1,X12] : ~ c_less(X12,c_emptyset,tc_set(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Onot__psubset__empty__iff1_0) ).
fof(f2969,plain,
spl0_299,
inference(avatar_split_clause,[],[f1253,f2967]) ).
fof(f2967,plain,
( spl0_299
<=> ! [X1] : c_emptyset = c_List_Oset(c_List_Olist_ONil,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_299])]) ).
fof(f1253,axiom,
! [X1] : c_emptyset = c_List_Oset(c_List_Olist_ONil,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oset__empty2__iff2_0) ).
fof(f2965,plain,
spl0_298,
inference(avatar_split_clause,[],[f1245,f2963]) ).
fof(f1245,axiom,
! [X1] : c_List_Olist_ONil = c_List_Orev(c_List_Olist_ONil,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Orev__is__Nil__conv__iff2_0) ).
fof(f2961,plain,
~ spl0_297,
inference(avatar_split_clause,[],[f1202,f2958]) ).
fof(f2958,plain,
( spl0_297
<=> c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_297])]) ).
fof(f1202,axiom,
~ c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Infinite__Set_Onat__not__finite_0) ).
fof(f2956,plain,
spl0_296,
inference(avatar_split_clause,[],[f1164,f2954]) ).
fof(f2954,plain,
( spl0_296
<=> ! [X41,X1] : c_Datatype_Ooption_ONone != c_Datatype_Ooption_OSome(X41,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_296])]) ).
fof(f1164,axiom,
! [X41,X1] : c_Datatype_Ooption_ONone != c_Datatype_Ooption_OSome(X41,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype_Ooption_Odistinct__1__iff1_0) ).
fof(f2952,plain,
spl0_295,
inference(avatar_split_clause,[],[f250,f2950]) ).
fof(f2950,plain,
( spl0_295
<=> ! [X37] :
( ~ class_Finite__Set_Ofinite(X37)
| class_Finite__Set_Ofinite(tc_set(X37)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_295])]) ).
fof(f250,axiom,
! [X37] :
( ~ class_Finite__Set_Ofinite(X37)
| class_Finite__Set_Ofinite(tc_set(X37)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_set_3) ).
fof(f2948,plain,
spl0_294,
inference(avatar_split_clause,[],[f128,f2946]) ).
fof(f2946,plain,
( spl0_294
<=> ! [X37] :
( ~ class_Finite__Set_Ofinite(X37)
| class_Finite__Set_Ofinite(tc_Datatype_Ooption(X37)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_294])]) ).
fof(f128,axiom,
! [X37] :
( ~ class_Finite__Set_Ofinite(X37)
| class_Finite__Set_Ofinite(tc_Datatype_Ooption(X37)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Datatype__Ooption_0) ).
fof(f2944,plain,
spl0_293,
inference(avatar_split_clause,[],[f112,f2942]) ).
fof(f112,axiom,
! [X1,X12] : c_lessequals(X12,X12,tc_set(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).
fof(f2940,plain,
spl0_292,
inference(avatar_split_clause,[],[f101,f2938]) ).
fof(f101,axiom,
! [X1,X12] : c_lessequals(c_emptyset,X12,tc_set(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Oempty__subsetI_0) ).
fof(f2936,plain,
spl0_291,
inference(avatar_split_clause,[],[f67,f2934]) ).
fof(f2934,plain,
( spl0_291
<=> ! [X21] : c_less(c_0,c_Suc(X21),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_291])]) ).
fof(f67,axiom,
! [X21] : c_less(c_0,c_Suc(X21),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Ozero__less__Suc_0) ).
fof(f2932,plain,
spl0_290,
inference(avatar_split_clause,[],[f65,f2930]) ).
fof(f2930,plain,
( spl0_290
<=> ! [X21] : c_less(X21,c_Suc(X21),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_290])]) ).
fof(f65,axiom,
! [X21] : c_less(X21,c_Suc(X21),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_OlessI_0) ).
fof(f2928,plain,
spl0_289,
inference(avatar_split_clause,[],[f28,f2926]) ).
fof(f2926,plain,
( spl0_289
<=> ! [X1] : c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_289])]) ).
fof(f28,axiom,
! [X1] : c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Finite__Set_OFinites_OemptyI_0) ).
fof(f2924,plain,
spl0_288,
inference(avatar_split_clause,[],[f24,f2922]) ).
fof(f2922,plain,
( spl0_288
<=> ! [X16] : c_Divides_Oop_Advd(c_Suc(c_0),X16,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_288])]) ).
fof(f24,axiom,
! [X16] : c_Divides_Oop_Advd(c_Suc(c_0),X16,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Divides_Odvd__1__left_0) ).
fof(f2613,plain,
spl0_287,
inference(avatar_split_clause,[],[f1373,f2611]) ).
fof(f2611,plain,
( spl0_287
<=> ! [X58] : c_Message_Oagent_OSpy != c_Message_Oagent_OFriend(X58) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_287])]) ).
fof(f1373,axiom,
! [X58] : c_Message_Oagent_OSpy != c_Message_Oagent_OFriend(X58),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oagent_Odistinct__5__iff1_0) ).
fof(f2609,plain,
spl0_286,
inference(avatar_split_clause,[],[f1369,f2607]) ).
fof(f2607,plain,
( spl0_286
<=> ! [X57] : c_Message_Oagent_OServer != c_Message_Oagent_OFriend(X57) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_286])]) ).
fof(f1369,axiom,
! [X57] : c_Message_Oagent_OServer != c_Message_Oagent_OFriend(X57),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oagent_Odistinct__1__iff1_0) ).
fof(f2605,plain,
spl0_285,
inference(avatar_split_clause,[],[f1333,f2603]) ).
fof(f1333,axiom,
! [X18,X1] : ~ c_in(X18,c_emptyset,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OemptyE_0) ).
fof(f2601,plain,
spl0_284,
inference(avatar_split_clause,[],[f1279,f2599]) ).
fof(f2599,plain,
( spl0_284
<=> ! [X21] : ~ c_less(X21,c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_284])]) ).
fof(f1279,axiom,
! [X21] : ~ c_less(X21,c_0,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Onot__less0__iff1_0) ).
fof(f2597,plain,
spl0_283,
inference(avatar_split_clause,[],[f1274,f2594]) ).
fof(f2594,plain,
( spl0_283
<=> c_less(c_0,c_1,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_283])]) ).
fof(f1274,axiom,
c_less(c_0,c_1,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oless__one__iff2_0) ).
fof(f2592,plain,
spl0_282,
inference(avatar_split_clause,[],[f1261,f2590]) ).
fof(f2590,plain,
( spl0_282
<=> ! [X15] : c_0 != c_Suc(X15) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_282])]) ).
fof(f1261,axiom,
! [X15] : c_0 != c_Suc(X15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_OSuc__not__Zero__iff1_0) ).
fof(f2588,plain,
spl0_281,
inference(avatar_split_clause,[],[f1159,f2586]) ).
fof(f2586,plain,
( spl0_281
<=> ! [X39] :
( ~ class_Wellfounded__Recursion_Owellorder(X39)
| class_Orderings_Olinorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_281])]) ).
fof(f1159,axiom,
! [X39] :
( ~ class_Wellfounded__Recursion_Owellorder(X39)
| class_Orderings_Olinorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Wellfounded__Recursion_Owellorder_5) ).
fof(f2584,plain,
spl0_280,
inference(avatar_split_clause,[],[f1158,f2582]) ).
fof(f2582,plain,
( spl0_280
<=> ! [X39] :
( ~ class_Wellfounded__Recursion_Owellorder(X39)
| class_LOrder_Olorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_280])]) ).
fof(f1158,axiom,
! [X39] :
( ~ class_Wellfounded__Recursion_Owellorder(X39)
| class_LOrder_Olorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Wellfounded__Recursion_Owellorder_4) ).
fof(f2580,plain,
spl0_279,
inference(avatar_split_clause,[],[f1157,f2578]) ).
fof(f2578,plain,
( spl0_279
<=> ! [X39] :
( ~ class_Wellfounded__Recursion_Owellorder(X39)
| class_LOrder_Ojoin__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_279])]) ).
fof(f1157,axiom,
! [X39] :
( ~ class_Wellfounded__Recursion_Owellorder(X39)
| class_LOrder_Ojoin__semilorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Wellfounded__Recursion_Owellorder_3) ).
fof(f2576,plain,
spl0_278,
inference(avatar_split_clause,[],[f1156,f2574]) ).
fof(f2574,plain,
( spl0_278
<=> ! [X39] :
( ~ class_Wellfounded__Recursion_Owellorder(X39)
| class_LOrder_Omeet__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_278])]) ).
fof(f1156,axiom,
! [X39] :
( ~ class_Wellfounded__Recursion_Owellorder(X39)
| class_LOrder_Omeet__semilorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Wellfounded__Recursion_Owellorder_2) ).
fof(f2572,plain,
spl0_277,
inference(avatar_split_clause,[],[f1155,f2570]) ).
fof(f2570,plain,
( spl0_277
<=> ! [X39] :
( ~ class_Wellfounded__Recursion_Owellorder(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_277])]) ).
fof(f1155,axiom,
! [X39] :
( ~ class_Wellfounded__Recursion_Owellorder(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Wellfounded__Recursion_Owellorder_1) ).
fof(f2568,plain,
spl0_276,
inference(avatar_split_clause,[],[f1154,f2566]) ).
fof(f2566,plain,
( spl0_276
<=> ! [X39] :
( ~ class_Wellfounded__Recursion_Owellorder(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_276])]) ).
fof(f1154,axiom,
! [X39] :
( ~ class_Wellfounded__Recursion_Owellorder(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Wellfounded__Recursion_Owellorder_0) ).
fof(f2564,plain,
spl0_275,
inference(avatar_split_clause,[],[f1067,f2562]) ).
fof(f2562,plain,
( spl0_275
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__semiring(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_275])]) ).
fof(f1067,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__semiring(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__semiring_9) ).
fof(f2560,plain,
spl0_274,
inference(avatar_split_clause,[],[f1059,f2558]) ).
fof(f2558,plain,
( spl0_274
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__semiring(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_274])]) ).
fof(f1059,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__semiring(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__semiring_11) ).
fof(f2556,plain,
spl0_273,
inference(avatar_split_clause,[],[f1058,f2554]) ).
fof(f2554,plain,
( spl0_273
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__semiring(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_273])]) ).
fof(f1058,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__semiring(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__semiring_10) ).
fof(f2552,plain,
spl0_272,
inference(avatar_split_clause,[],[f1048,f2550]) ).
fof(f2550,plain,
( spl0_272
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__ring(X39)
| class_Ring__and__Field_Opordered__cancel__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_272])]) ).
fof(f1048,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__ring(X39)
| class_Ring__and__Field_Opordered__cancel__semiring(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__ring_22) ).
fof(f2548,plain,
spl0_271,
inference(avatar_split_clause,[],[f1047,f2546]) ).
fof(f2546,plain,
( spl0_271
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__ring(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_271])]) ).
fof(f1047,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__ring(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__ring_21) ).
fof(f2544,plain,
spl0_270,
inference(avatar_split_clause,[],[f1046,f2542]) ).
fof(f2542,plain,
( spl0_270
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__ring(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_270])]) ).
fof(f1046,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__ring(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__ring_20) ).
fof(f2540,plain,
spl0_269,
inference(avatar_split_clause,[],[f1044,f2538]) ).
fof(f2538,plain,
( spl0_269
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__ring(X39)
| class_OrderedGroup_Opordered__ab__group__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_269])]) ).
fof(f1044,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__ring(X39)
| class_OrderedGroup_Opordered__ab__group__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__ring_19) ).
fof(f2536,plain,
spl0_268,
inference(avatar_split_clause,[],[f1043,f2534]) ).
fof(f2534,plain,
( spl0_268
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__ring(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_268])]) ).
fof(f1043,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__ring(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__ring_18) ).
fof(f2532,plain,
spl0_267,
inference(avatar_split_clause,[],[f1042,f2530]) ).
fof(f2530,plain,
( spl0_267
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__ring(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_267])]) ).
fof(f1042,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__ring(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__ring_17) ).
fof(f2528,plain,
spl0_266,
inference(avatar_split_clause,[],[f1041,f2526]) ).
fof(f2526,plain,
( spl0_266
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__ring(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_266])]) ).
fof(f1041,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__ring(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__ring_16) ).
fof(f2524,plain,
spl0_265,
inference(avatar_split_clause,[],[f1040,f2522]) ).
fof(f2522,plain,
( spl0_265
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__ring(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_265])]) ).
fof(f1040,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__ring(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__ring_15) ).
fof(f2520,plain,
spl0_264,
inference(avatar_split_clause,[],[f1024,f2518]) ).
fof(f2518,plain,
( spl0_264
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_264])]) ).
fof(f1024,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__comm__semiring_15) ).
fof(f2516,plain,
spl0_263,
inference(avatar_split_clause,[],[f1023,f2514]) ).
fof(f2514,plain,
( spl0_263
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_263])]) ).
fof(f1023,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__comm__semiring_14) ).
fof(f2512,plain,
spl0_262,
inference(avatar_split_clause,[],[f1022,f2510]) ).
fof(f2510,plain,
( spl0_262
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_262])]) ).
fof(f1022,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__comm__semiring_13) ).
fof(f2508,plain,
spl0_261,
inference(avatar_split_clause,[],[f1021,f2506]) ).
fof(f2506,plain,
( spl0_261
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_261])]) ).
fof(f1021,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__comm__semiring_12) ).
fof(f2504,plain,
spl0_260,
inference(avatar_split_clause,[],[f989,f2502]) ).
fof(f2502,plain,
( spl0_260
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_260])]) ).
fof(f989,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__semiring_7) ).
fof(f2500,plain,
spl0_259,
inference(avatar_split_clause,[],[f980,f2498]) ).
fof(f2498,plain,
( spl0_259
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_259])]) ).
fof(f980,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__semiring_12) ).
fof(f2496,plain,
spl0_258,
inference(avatar_split_clause,[],[f979,f2494]) ).
fof(f2494,plain,
( spl0_258
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_258])]) ).
fof(f979,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__semiring_11) ).
fof(f2492,plain,
spl0_257,
inference(avatar_split_clause,[],[f976,f2490]) ).
fof(f2490,plain,
( spl0_257
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_257])]) ).
fof(f976,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__semiring_0) ).
fof(f2488,plain,
spl0_256,
inference(avatar_split_clause,[],[f966,f2486]) ).
fof(f2486,plain,
( spl0_256
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X39)
| class_Ring__and__Field_Opordered__cancel__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_256])]) ).
fof(f966,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X39)
| class_Ring__and__Field_Opordered__cancel__semiring(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_19) ).
fof(f2484,plain,
spl0_255,
inference(avatar_split_clause,[],[f965,f2482]) ).
fof(f2482,plain,
( spl0_255
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_255])]) ).
fof(f965,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_18) ).
fof(f2480,plain,
spl0_254,
inference(avatar_split_clause,[],[f962,f2478]) ).
fof(f2478,plain,
( spl0_254
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_254])]) ).
fof(f962,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_15) ).
fof(f2476,plain,
spl0_253,
inference(avatar_split_clause,[],[f961,f2474]) ).
fof(f2474,plain,
( spl0_253
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_253])]) ).
fof(f961,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_14) ).
fof(f2472,plain,
spl0_252,
inference(avatar_split_clause,[],[f957,f2470]) ).
fof(f2470,plain,
( spl0_252
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_252])]) ).
fof(f957,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_10) ).
fof(f2468,plain,
spl0_251,
inference(avatar_split_clause,[],[f955,f2466]) ).
fof(f2466,plain,
( spl0_251
<=> ! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X39)
| class_Ring__and__Field_Opordered__comm__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_251])]) ).
fof(f955,axiom,
! [X39] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X39)
| class_Ring__and__Field_Opordered__comm__semiring(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_0) ).
fof(f2464,plain,
spl0_250,
inference(avatar_split_clause,[],[f954,f2462]) ).
fof(f2462,plain,
( spl0_250
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_250])]) ).
fof(f954,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_9) ).
fof(f2460,plain,
spl0_249,
inference(avatar_split_clause,[],[f947,f2458]) ).
fof(f2458,plain,
( spl0_249
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_249])]) ).
fof(f947,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_23) ).
fof(f2456,plain,
spl0_248,
inference(avatar_split_clause,[],[f946,f2454]) ).
fof(f2454,plain,
( spl0_248
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_Ring__and__Field_Opordered__cancel__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_248])]) ).
fof(f946,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_Ring__and__Field_Opordered__cancel__semiring(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_22) ).
fof(f2452,plain,
spl0_247,
inference(avatar_split_clause,[],[f941,f2450]) ).
fof(f2450,plain,
( spl0_247
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_247])]) ).
fof(f941,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_18) ).
fof(f2448,plain,
spl0_246,
inference(avatar_split_clause,[],[f940,f2446]) ).
fof(f2446,plain,
( spl0_246
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_246])]) ).
fof(f940,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_17) ).
fof(f2444,plain,
spl0_245,
inference(avatar_split_clause,[],[f939,f2442]) ).
fof(f2442,plain,
( spl0_245
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_245])]) ).
fof(f939,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_16) ).
fof(f2440,plain,
spl0_244,
inference(avatar_split_clause,[],[f938,f2438]) ).
fof(f2438,plain,
( spl0_244
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_244])]) ).
fof(f938,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_15) ).
fof(f2436,plain,
spl0_243,
inference(avatar_split_clause,[],[f937,f2434]) ).
fof(f2434,plain,
( spl0_243
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_243])]) ).
fof(f937,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_14) ).
fof(f2432,plain,
spl0_242,
inference(avatar_split_clause,[],[f936,f2430]) ).
fof(f2430,plain,
( spl0_242
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_LOrder_Omeet__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_242])]) ).
fof(f936,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_LOrder_Omeet__semilorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_13) ).
fof(f2428,plain,
spl0_241,
inference(avatar_split_clause,[],[f935,f2426]) ).
fof(f2426,plain,
( spl0_241
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_LOrder_Ojoin__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_241])]) ).
fof(f935,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_LOrder_Ojoin__semilorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_12) ).
fof(f2424,plain,
spl0_240,
inference(avatar_split_clause,[],[f934,f2422]) ).
fof(f2422,plain,
( spl0_240
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_LOrder_Olorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_240])]) ).
fof(f934,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_LOrder_Olorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_11) ).
fof(f2420,plain,
spl0_239,
inference(avatar_split_clause,[],[f933,f2418]) ).
fof(f2418,plain,
( spl0_239
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_Orderings_Olinorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_239])]) ).
fof(f933,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X39)
| class_Orderings_Olinorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_10) ).
fof(f2416,plain,
spl0_238,
inference(avatar_split_clause,[],[f924,f2414]) ).
fof(f2414,plain,
( spl0_238
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_238])]) ).
fof(f924,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_39) ).
fof(f2412,plain,
spl0_237,
inference(avatar_split_clause,[],[f923,f2410]) ).
fof(f2410,plain,
( spl0_237
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_237])]) ).
fof(f923,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_38) ).
fof(f2408,plain,
spl0_236,
inference(avatar_split_clause,[],[f922,f2406]) ).
fof(f2406,plain,
( spl0_236
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_236])]) ).
fof(f922,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_37) ).
fof(f2404,plain,
spl0_235,
inference(avatar_split_clause,[],[f921,f2402]) ).
fof(f2402,plain,
( spl0_235
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_235])]) ).
fof(f921,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_36) ).
fof(f2400,plain,
spl0_234,
inference(avatar_split_clause,[],[f920,f2398]) ).
fof(f2398,plain,
( spl0_234
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Ring__and__Field_Opordered__comm__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_234])]) ).
fof(f920,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Ring__and__Field_Opordered__comm__semiring(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_35) ).
fof(f2396,plain,
spl0_233,
inference(avatar_split_clause,[],[f919,f2394]) ).
fof(f2394,plain,
( spl0_233
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Ring__and__Field_Opordered__cancel__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_233])]) ).
fof(f919,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Ring__and__Field_Opordered__cancel__semiring(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_34) ).
fof(f2392,plain,
spl0_232,
inference(avatar_split_clause,[],[f918,f2390]) ).
fof(f2390,plain,
( spl0_232
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Ring__and__Field_Opordered__cancel__comm__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_232])]) ).
fof(f918,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Ring__and__Field_Opordered__cancel__comm__semiring(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_33) ).
fof(f2388,plain,
spl0_231,
inference(avatar_split_clause,[],[f917,f2386]) ).
fof(f2386,plain,
( spl0_231
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_231])]) ).
fof(f917,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_32) ).
fof(f2384,plain,
spl0_230,
inference(avatar_split_clause,[],[f916,f2382]) ).
fof(f2382,plain,
( spl0_230
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_230])]) ).
fof(f916,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_31) ).
fof(f2380,plain,
spl0_229,
inference(avatar_split_clause,[],[f915,f2378]) ).
fof(f2378,plain,
( spl0_229
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_LOrder_Omeet__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_229])]) ).
fof(f915,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_LOrder_Omeet__semilorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_30) ).
fof(f2376,plain,
spl0_228,
inference(avatar_split_clause,[],[f913,f2374]) ).
fof(f2374,plain,
( spl0_228
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_LOrder_Ojoin__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_228])]) ).
fof(f913,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_LOrder_Ojoin__semilorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_29) ).
fof(f2372,plain,
spl0_227,
inference(avatar_split_clause,[],[f912,f2370]) ).
fof(f2370,plain,
( spl0_227
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_LOrder_Olorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_227])]) ).
fof(f912,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_LOrder_Olorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_28) ).
fof(f2368,plain,
spl0_226,
inference(avatar_split_clause,[],[f911,f2366]) ).
fof(f2366,plain,
( spl0_226
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Orderings_Olinorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_226])]) ).
fof(f911,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Orderings_Olinorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_27) ).
fof(f2364,plain,
spl0_225,
inference(avatar_split_clause,[],[f910,f2362]) ).
fof(f2362,plain,
( spl0_225
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_225])]) ).
fof(f910,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_26) ).
fof(f2360,plain,
spl0_224,
inference(avatar_split_clause,[],[f909,f2358]) ).
fof(f2358,plain,
( spl0_224
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Ring__and__Field_Oordered__semiring__strict(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_224])]) ).
fof(f909,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Ring__and__Field_Oordered__semiring__strict(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_25) ).
fof(f2356,plain,
spl0_223,
inference(avatar_split_clause,[],[f908,f2354]) ).
fof(f2354,plain,
( spl0_223
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Ring__and__Field_Oordered__comm__semiring__strict(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_223])]) ).
fof(f908,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__semidom(X39)
| class_Ring__and__Field_Oordered__comm__semiring__strict(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_24) ).
fof(f2352,plain,
spl0_222,
inference(avatar_split_clause,[],[f883,f2350]) ).
fof(f2350,plain,
( spl0_222
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Olordered__ab__group__join(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_222])]) ).
fof(f883,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Olordered__ab__group__join(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_35) ).
fof(f2348,plain,
spl0_221,
inference(avatar_split_clause,[],[f882,f2346]) ).
fof(f2346,plain,
( spl0_221
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Olordered__ab__group__meet(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_221])]) ).
fof(f882,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Olordered__ab__group__meet(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_34) ).
fof(f2344,plain,
spl0_220,
inference(avatar_split_clause,[],[f881,f2342]) ).
fof(f2342,plain,
( spl0_220
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Olordered__ab__group__abs(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_220])]) ).
fof(f881,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Olordered__ab__group__abs(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_33) ).
fof(f2340,plain,
spl0_219,
inference(avatar_split_clause,[],[f880,f2338]) ).
fof(f2338,plain,
( spl0_219
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Ring__and__Field_Opordered__ring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_219])]) ).
fof(f880,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Ring__and__Field_Opordered__ring(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_32) ).
fof(f2336,plain,
spl0_218,
inference(avatar_split_clause,[],[f879,f2334]) ).
fof(f2334,plain,
( spl0_218
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Ring__and__Field_Olordered__ring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_218])]) ).
fof(f879,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Ring__and__Field_Olordered__ring(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_31) ).
fof(f2332,plain,
spl0_217,
inference(avatar_split_clause,[],[f878,f2330]) ).
fof(f2330,plain,
( spl0_217
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Opordered__ab__group__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_217])]) ).
fof(f878,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Opordered__ab__group__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_30) ).
fof(f2328,plain,
spl0_216,
inference(avatar_split_clause,[],[f876,f2326]) ).
fof(f2326,plain,
( spl0_216
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Olordered__ab__group(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_216])]) ).
fof(f876,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Olordered__ab__group(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_29) ).
fof(f2324,plain,
spl0_215,
inference(avatar_split_clause,[],[f875,f2322]) ).
fof(f2322,plain,
( spl0_215
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Ring__and__Field_Oaxclass__abs__if(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_215])]) ).
fof(f875,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Ring__and__Field_Oaxclass__abs__if(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_28) ).
fof(f2320,plain,
spl0_214,
inference(avatar_split_clause,[],[f874,f2318]) ).
fof(f2318,plain,
( spl0_214
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_214])]) ).
fof(f874,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_27) ).
fof(f2316,plain,
spl0_213,
inference(avatar_split_clause,[],[f873,f2314]) ).
fof(f2314,plain,
( spl0_213
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_213])]) ).
fof(f873,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_26) ).
fof(f2312,plain,
spl0_212,
inference(avatar_split_clause,[],[f872,f2310]) ).
fof(f2310,plain,
( spl0_212
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_212])]) ).
fof(f872,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_25) ).
fof(f2308,plain,
spl0_211,
inference(avatar_split_clause,[],[f871,f2306]) ).
fof(f2306,plain,
( spl0_211
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_211])]) ).
fof(f871,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_24) ).
fof(f2304,plain,
spl0_210,
inference(avatar_split_clause,[],[f870,f2302]) ).
fof(f2302,plain,
( spl0_210
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Ring__and__Field_Opordered__cancel__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_210])]) ).
fof(f870,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Ring__and__Field_Opordered__cancel__semiring(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_23) ).
fof(f2300,plain,
spl0_209,
inference(avatar_split_clause,[],[f869,f2298]) ).
fof(f2298,plain,
( spl0_209
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_209])]) ).
fof(f869,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_22) ).
fof(f2296,plain,
spl0_208,
inference(avatar_split_clause,[],[f868,f2294]) ).
fof(f2294,plain,
( spl0_208
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_208])]) ).
fof(f868,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_21) ).
fof(f2292,plain,
spl0_207,
inference(avatar_split_clause,[],[f867,f2290]) ).
fof(f2290,plain,
( spl0_207
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_LOrder_Omeet__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_207])]) ).
fof(f867,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_LOrder_Omeet__semilorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_20) ).
fof(f2288,plain,
spl0_206,
inference(avatar_split_clause,[],[f865,f2286]) ).
fof(f2286,plain,
( spl0_206
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_LOrder_Ojoin__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_206])]) ).
fof(f865,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_LOrder_Ojoin__semilorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_19) ).
fof(f2284,plain,
spl0_205,
inference(avatar_split_clause,[],[f864,f2282]) ).
fof(f2282,plain,
( spl0_205
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_LOrder_Olorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_205])]) ).
fof(f864,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_LOrder_Olorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_18) ).
fof(f2280,plain,
spl0_204,
inference(avatar_split_clause,[],[f863,f2278]) ).
fof(f2278,plain,
( spl0_204
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Orderings_Olinorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_204])]) ).
fof(f863,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Orderings_Olinorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_17) ).
fof(f2276,plain,
spl0_203,
inference(avatar_split_clause,[],[f862,f2274]) ).
fof(f2274,plain,
( spl0_203
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_203])]) ).
fof(f862,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_16) ).
fof(f2272,plain,
spl0_202,
inference(avatar_split_clause,[],[f861,f2270]) ).
fof(f2270,plain,
( spl0_202
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Ring__and__Field_Oordered__semiring__strict(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_202])]) ).
fof(f861,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X39)
| class_Ring__and__Field_Oordered__semiring__strict(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_15) ).
fof(f2268,plain,
spl0_201,
inference(avatar_split_clause,[],[f847,f2266]) ).
fof(f2266,plain,
( spl0_201
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Oordered__semidom(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_201])]) ).
fof(f847,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Oordered__semidom(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_55) ).
fof(f2264,plain,
spl0_200,
inference(avatar_split_clause,[],[f846,f2262]) ).
fof(f2262,plain,
( spl0_200
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Opordered__ab__group__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_200])]) ).
fof(f846,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Opordered__ab__group__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_54) ).
fof(f2260,plain,
spl0_199,
inference(avatar_split_clause,[],[f845,f2258]) ).
fof(f2258,plain,
( spl0_199
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Olordered__ab__group(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_199])]) ).
fof(f845,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Olordered__ab__group(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_53) ).
fof(f2256,plain,
spl0_198,
inference(avatar_split_clause,[],[f844,f2254]) ).
fof(f2254,plain,
( spl0_198
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Olordered__ab__group__join(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_198])]) ).
fof(f844,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Olordered__ab__group__join(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_52) ).
fof(f2252,plain,
spl0_197,
inference(avatar_split_clause,[],[f843,f2250]) ).
fof(f2250,plain,
( spl0_197
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Olordered__ab__group__meet(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_197])]) ).
fof(f843,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Olordered__ab__group__meet(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_51) ).
fof(f2248,plain,
spl0_196,
inference(avatar_split_clause,[],[f842,f2246]) ).
fof(f2246,plain,
( spl0_196
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Olordered__ab__group__abs(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_196])]) ).
fof(f842,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Olordered__ab__group__abs(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
fof(f2244,plain,
spl0_195,
inference(avatar_split_clause,[],[f840,f2242]) ).
fof(f2242,plain,
( spl0_195
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Opordered__ring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_195])]) ).
fof(f840,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Opordered__ring(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_49) ).
fof(f2240,plain,
spl0_194,
inference(avatar_split_clause,[],[f839,f2238]) ).
fof(f2238,plain,
( spl0_194
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Olordered__ring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_194])]) ).
fof(f839,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Olordered__ring(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_48) ).
fof(f2236,plain,
spl0_193,
inference(avatar_split_clause,[],[f838,f2234]) ).
fof(f2234,plain,
( spl0_193
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Oordered__ring__strict(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_193])]) ).
fof(f838,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Oordered__ring__strict(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_47) ).
fof(f2232,plain,
spl0_192,
inference(avatar_split_clause,[],[f837,f2230]) ).
fof(f2230,plain,
( spl0_192
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Oaxclass__abs__if(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_192])]) ).
fof(f837,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Oaxclass__abs__if(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_46) ).
fof(f2228,plain,
spl0_191,
inference(avatar_split_clause,[],[f836,f2226]) ).
fof(f2226,plain,
( spl0_191
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_191])]) ).
fof(f836,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_45) ).
fof(f2224,plain,
spl0_190,
inference(avatar_split_clause,[],[f835,f2222]) ).
fof(f2222,plain,
( spl0_190
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_190])]) ).
fof(f835,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_44) ).
fof(f2220,plain,
spl0_189,
inference(avatar_split_clause,[],[f834,f2218]) ).
fof(f2218,plain,
( spl0_189
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).
fof(f834,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_43) ).
fof(f2216,plain,
spl0_188,
inference(avatar_split_clause,[],[f833,f2214]) ).
fof(f2214,plain,
( spl0_188
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).
fof(f833,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_42) ).
fof(f2212,plain,
spl0_187,
inference(avatar_split_clause,[],[f832,f2210]) ).
fof(f2210,plain,
( spl0_187
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Opordered__comm__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).
fof(f832,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Opordered__comm__semiring(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_41) ).
fof(f2208,plain,
spl0_186,
inference(avatar_split_clause,[],[f831,f2206]) ).
fof(f2206,plain,
( spl0_186
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Opordered__cancel__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).
fof(f831,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Opordered__cancel__semiring(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_40) ).
fof(f2204,plain,
spl0_185,
inference(avatar_split_clause,[],[f829,f2202]) ).
fof(f2202,plain,
( spl0_185
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Opordered__cancel__comm__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).
fof(f829,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Opordered__cancel__comm__semiring(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_39) ).
fof(f2200,plain,
spl0_184,
inference(avatar_split_clause,[],[f828,f2198]) ).
fof(f2198,plain,
( spl0_184
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).
fof(f828,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_38) ).
fof(f2196,plain,
spl0_183,
inference(avatar_split_clause,[],[f827,f2194]) ).
fof(f2194,plain,
( spl0_183
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).
fof(f827,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_37) ).
fof(f2192,plain,
spl0_182,
inference(avatar_split_clause,[],[f826,f2190]) ).
fof(f2190,plain,
( spl0_182
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_LOrder_Omeet__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).
fof(f826,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_LOrder_Omeet__semilorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_36) ).
fof(f2188,plain,
spl0_181,
inference(avatar_split_clause,[],[f825,f2186]) ).
fof(f2186,plain,
( spl0_181
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_LOrder_Ojoin__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).
fof(f825,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_LOrder_Ojoin__semilorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_35) ).
fof(f2184,plain,
spl0_180,
inference(avatar_split_clause,[],[f824,f2182]) ).
fof(f2182,plain,
( spl0_180
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_LOrder_Olorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).
fof(f824,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_LOrder_Olorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_34) ).
fof(f2180,plain,
spl0_179,
inference(avatar_split_clause,[],[f823,f2178]) ).
fof(f2178,plain,
( spl0_179
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Orderings_Olinorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).
fof(f823,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Orderings_Olinorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_33) ).
fof(f2176,plain,
spl0_178,
inference(avatar_split_clause,[],[f822,f2174]) ).
fof(f2174,plain,
( spl0_178
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).
fof(f822,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_32) ).
fof(f2172,plain,
spl0_177,
inference(avatar_split_clause,[],[f821,f2170]) ).
fof(f2170,plain,
( spl0_177
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Oordered__semiring__strict(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).
fof(f821,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Oordered__semiring__strict(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_31) ).
fof(f2168,plain,
spl0_176,
inference(avatar_split_clause,[],[f820,f2166]) ).
fof(f2166,plain,
( spl0_176
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Oordered__comm__semiring__strict(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).
fof(f820,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__idom(X39)
| class_Ring__and__Field_Oordered__comm__semiring__strict(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_30) ).
fof(f2164,plain,
spl0_175,
inference(avatar_split_clause,[],[f727,f2162]) ).
fof(f2162,plain,
( spl0_175
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_Ring__and__Field_Opordered__comm__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).
fof(f727,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_Ring__and__Field_Opordered__comm__semiring(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_29) ).
fof(f2160,plain,
spl0_174,
inference(avatar_split_clause,[],[f726,f2158]) ).
fof(f2158,plain,
( spl0_174
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_Ring__and__Field_Opordered__cancel__comm__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).
fof(f726,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_Ring__and__Field_Opordered__cancel__comm__semiring(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_28) ).
fof(f2156,plain,
spl0_173,
inference(avatar_split_clause,[],[f725,f2154]) ).
fof(f2154,plain,
( spl0_173
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).
fof(f725,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_27) ).
fof(f2152,plain,
spl0_172,
inference(avatar_split_clause,[],[f723,f2150]) ).
fof(f2150,plain,
( spl0_172
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_Ring__and__Field_Opordered__cancel__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).
fof(f723,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_Ring__and__Field_Opordered__cancel__semiring(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_25) ).
fof(f2148,plain,
spl0_171,
inference(avatar_split_clause,[],[f722,f2146]) ).
fof(f2146,plain,
( spl0_171
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_Ring__and__Field_Oordered__semiring__strict(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).
fof(f722,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_Ring__and__Field_Oordered__semiring__strict(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_24) ).
fof(f2144,plain,
spl0_170,
inference(avatar_split_clause,[],[f719,f2142]) ).
fof(f2142,plain,
( spl0_170
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).
fof(f719,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_21) ).
fof(f2140,plain,
spl0_169,
inference(avatar_split_clause,[],[f718,f2138]) ).
fof(f2138,plain,
( spl0_169
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).
fof(f718,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_20) ).
fof(f2136,plain,
spl0_168,
inference(avatar_split_clause,[],[f716,f2134]) ).
fof(f2134,plain,
( spl0_168
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).
fof(f716,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_19) ).
fof(f2132,plain,
spl0_167,
inference(avatar_split_clause,[],[f715,f2130]) ).
fof(f2130,plain,
( spl0_167
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).
fof(f715,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_18) ).
fof(f2128,plain,
spl0_166,
inference(avatar_split_clause,[],[f714,f2126]) ).
fof(f2126,plain,
( spl0_166
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).
fof(f714,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_17) ).
fof(f2124,plain,
spl0_165,
inference(avatar_split_clause,[],[f713,f2122]) ).
fof(f2122,plain,
( spl0_165
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_LOrder_Omeet__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).
fof(f713,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_LOrder_Omeet__semilorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_16) ).
fof(f2120,plain,
spl0_164,
inference(avatar_split_clause,[],[f712,f2118]) ).
fof(f2118,plain,
( spl0_164
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_LOrder_Ojoin__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).
fof(f712,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_LOrder_Ojoin__semilorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_15) ).
fof(f2116,plain,
spl0_163,
inference(avatar_split_clause,[],[f711,f2114]) ).
fof(f2114,plain,
( spl0_163
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_LOrder_Olorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).
fof(f711,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_LOrder_Olorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_14) ).
fof(f2112,plain,
spl0_162,
inference(avatar_split_clause,[],[f710,f2110]) ).
fof(f2110,plain,
( spl0_162
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_Orderings_Olinorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).
fof(f710,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_Orderings_Olinorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_13) ).
fof(f2108,plain,
spl0_161,
inference(avatar_split_clause,[],[f709,f2106]) ).
fof(f2106,plain,
( spl0_161
<=> ! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).
fof(f709,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X39)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_12) ).
fof(f2104,plain,
spl0_160,
inference(avatar_split_clause,[],[f704,f2102]) ).
fof(f2102,plain,
( spl0_160
<=> ! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).
fof(f704,axiom,
! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_9) ).
fof(f2100,plain,
spl0_159,
inference(avatar_split_clause,[],[f703,f2098]) ).
fof(f2098,plain,
( spl0_159
<=> ! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).
fof(f703,axiom,
! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_Ring__and__Field_Opordered__semiring(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_8) ).
fof(f2096,plain,
spl0_158,
inference(avatar_split_clause,[],[f702,f2094]) ).
fof(f2094,plain,
( spl0_158
<=> ! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_Ring__and__Field_Opordered__cancel__semiring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).
fof(f702,axiom,
! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_Ring__and__Field_Opordered__cancel__semiring(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_7) ).
fof(f2092,plain,
spl0_157,
inference(avatar_split_clause,[],[f701,f2090]) ).
fof(f2090,plain,
( spl0_157
<=> ! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).
fof(f701,axiom,
! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_6) ).
fof(f2088,plain,
spl0_156,
inference(avatar_split_clause,[],[f700,f2086]) ).
fof(f2086,plain,
( spl0_156
<=> ! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).
fof(f700,axiom,
! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_5) ).
fof(f2084,plain,
spl0_155,
inference(avatar_split_clause,[],[f698,f2082]) ).
fof(f2082,plain,
( spl0_155
<=> ! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_OrderedGroup_Olordered__ab__group__join(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).
fof(f698,axiom,
! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_OrderedGroup_Olordered__ab__group__join(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_30) ).
fof(f2080,plain,
spl0_154,
inference(avatar_split_clause,[],[f696,f2078]) ).
fof(f2078,plain,
( spl0_154
<=> ! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_OrderedGroup_Olordered__ab__group__meet(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).
fof(f696,axiom,
! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_OrderedGroup_Olordered__ab__group__meet(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_29) ).
fof(f2076,plain,
spl0_153,
inference(avatar_split_clause,[],[f695,f2074]) ).
fof(f2074,plain,
( spl0_153
<=> ! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_LOrder_Omeet__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).
fof(f695,axiom,
! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_LOrder_Omeet__semilorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_28) ).
fof(f2072,plain,
spl0_152,
inference(avatar_split_clause,[],[f694,f2070]) ).
fof(f2070,plain,
( spl0_152
<=> ! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_LOrder_Ojoin__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).
fof(f694,axiom,
! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_LOrder_Ojoin__semilorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_27) ).
fof(f2068,plain,
spl0_151,
inference(avatar_split_clause,[],[f693,f2066]) ).
fof(f2066,plain,
( spl0_151
<=> ! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_LOrder_Olorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).
fof(f693,axiom,
! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_LOrder_Olorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_26) ).
fof(f2064,plain,
spl0_150,
inference(avatar_split_clause,[],[f692,f2062]) ).
fof(f2062,plain,
( spl0_150
<=> ! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_OrderedGroup_Olordered__ab__group(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
fof(f692,axiom,
! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_OrderedGroup_Olordered__ab__group(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_25) ).
fof(f2060,plain,
spl0_149,
inference(avatar_split_clause,[],[f691,f2058]) ).
fof(f2058,plain,
( spl0_149
<=> ! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_OrderedGroup_Olordered__ab__group__abs(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).
fof(f691,axiom,
! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_OrderedGroup_Olordered__ab__group__abs(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_24) ).
fof(f2056,plain,
spl0_148,
inference(avatar_split_clause,[],[f686,f2054]) ).
fof(f2054,plain,
( spl0_148
<=> ! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_OrderedGroup_Opordered__ab__group__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).
fof(f686,axiom,
! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_OrderedGroup_Opordered__ab__group__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_2) ).
fof(f2052,plain,
spl0_147,
inference(avatar_split_clause,[],[f677,f2050]) ).
fof(f2050,plain,
( spl0_147
<=> ! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).
fof(f677,axiom,
! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_11) ).
fof(f2048,plain,
spl0_146,
inference(avatar_split_clause,[],[f676,f2046]) ).
fof(f2046,plain,
( spl0_146
<=> ! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).
fof(f676,axiom,
! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_10) ).
fof(f2044,plain,
spl0_145,
inference(avatar_split_clause,[],[f674,f2042]) ).
fof(f2042,plain,
( spl0_145
<=> ! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_Ring__and__Field_Opordered__ring(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).
fof(f674,axiom,
! [X39] :
( ~ class_Ring__and__Field_Olordered__ring(X39)
| class_Ring__and__Field_Opordered__ring(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_0) ).
fof(f2040,plain,
spl0_144,
inference(avatar_split_clause,[],[f483,f2038]) ).
fof(f2038,plain,
( spl0_144
<=> ! [X39] :
( ~ class_Ring__and__Field_Oaxclass__abs__if(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).
fof(f483,axiom,
! [X39] :
( ~ class_Ring__and__Field_Oaxclass__abs__if(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oaxclass__abs__if_1) ).
fof(f2036,plain,
spl0_143,
inference(avatar_split_clause,[],[f454,f2034]) ).
fof(f2034,plain,
( spl0_143
<=> ! [X39] :
( ~ class_Orderings_Oorder(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).
fof(f454,axiom,
! [X39] :
( ~ class_Orderings_Oorder(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Orderings_Oorder_0) ).
fof(f2032,plain,
spl0_142,
inference(avatar_split_clause,[],[f453,f2030]) ).
fof(f2030,plain,
( spl0_142
<=> ! [X39] :
( ~ class_Orderings_Olinorder(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
fof(f453,axiom,
! [X39] :
( ~ class_Orderings_Olinorder(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Orderings_Olinorder_4) ).
fof(f2028,plain,
spl0_141,
inference(avatar_split_clause,[],[f452,f2026]) ).
fof(f2026,plain,
( spl0_141
<=> ! [X39] :
( ~ class_Orderings_Olinorder(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).
fof(f452,axiom,
! [X39] :
( ~ class_Orderings_Olinorder(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Orderings_Olinorder_3) ).
fof(f2024,plain,
spl0_140,
inference(avatar_split_clause,[],[f451,f2022]) ).
fof(f2022,plain,
( spl0_140
<=> ! [X39] :
( ~ class_Orderings_Olinorder(X39)
| class_LOrder_Omeet__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
fof(f451,axiom,
! [X39] :
( ~ class_Orderings_Olinorder(X39)
| class_LOrder_Omeet__semilorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Orderings_Olinorder_2) ).
fof(f2020,plain,
spl0_139,
inference(avatar_split_clause,[],[f450,f2018]) ).
fof(f2018,plain,
( spl0_139
<=> ! [X39] :
( ~ class_Orderings_Olinorder(X39)
| class_LOrder_Ojoin__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).
fof(f450,axiom,
! [X39] :
( ~ class_Orderings_Olinorder(X39)
| class_LOrder_Ojoin__semilorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Orderings_Olinorder_1) ).
fof(f2016,plain,
spl0_138,
inference(avatar_split_clause,[],[f449,f2014]) ).
fof(f2014,plain,
( spl0_138
<=> ! [X39] :
( ~ class_Orderings_Olinorder(X39)
| class_LOrder_Olorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f449,axiom,
! [X39] :
( ~ class_Orderings_Olinorder(X39)
| class_LOrder_Olorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Orderings_Olinorder_0) ).
fof(f2012,plain,
spl0_137,
inference(avatar_split_clause,[],[f441,f2010]) ).
fof(f2010,plain,
( spl0_137
<=> ! [X39] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f441,axiom,
! [X39] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_2) ).
fof(f2008,plain,
spl0_136,
inference(avatar_split_clause,[],[f440,f2006]) ).
fof(f2006,plain,
( spl0_136
<=> ! [X39] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
fof(f440,axiom,
! [X39] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_1) ).
fof(f2004,plain,
spl0_135,
inference(avatar_split_clause,[],[f439,f2002]) ).
fof(f2002,plain,
( spl0_135
<=> ! [X39] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
fof(f439,axiom,
! [X39] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_0) ).
fof(f2000,plain,
spl0_134,
inference(avatar_split_clause,[],[f433,f1998]) ).
fof(f1998,plain,
( spl0_134
<=> ! [X39] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).
fof(f433,axiom,
! [X39] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_3) ).
fof(f1996,plain,
spl0_133,
inference(avatar_split_clause,[],[f432,f1994]) ).
fof(f1994,plain,
( spl0_133
<=> ! [X39] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).
fof(f432,axiom,
! [X39] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_2) ).
fof(f1992,plain,
spl0_132,
inference(avatar_split_clause,[],[f431,f1990]) ).
fof(f1990,plain,
( spl0_132
<=> ! [X39] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
fof(f431,axiom,
! [X39] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_1) ).
fof(f1988,plain,
spl0_131,
inference(avatar_split_clause,[],[f430,f1986]) ).
fof(f1986,plain,
( spl0_131
<=> ! [X39] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f430,axiom,
! [X39] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_0) ).
fof(f1984,plain,
spl0_130,
inference(avatar_split_clause,[],[f426,f1982]) ).
fof(f1982,plain,
( spl0_130
<=> ! [X39] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f426,axiom,
! [X39] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__semigroup__add_1) ).
fof(f1980,plain,
spl0_129,
inference(avatar_split_clause,[],[f425,f1978]) ).
fof(f1978,plain,
( spl0_129
<=> ! [X39] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
fof(f425,axiom,
! [X39] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__semigroup__add_0) ).
fof(f1976,plain,
spl0_128,
inference(avatar_split_clause,[],[f424,f1974]) ).
fof(f1974,plain,
( spl0_128
<=> ! [X39] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
fof(f424,axiom,
! [X39] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__group__add_9) ).
fof(f1972,plain,
spl0_127,
inference(avatar_split_clause,[],[f416,f1970]) ).
fof(f1970,plain,
( spl0_127
<=> ! [X39] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f416,axiom,
! [X39] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__group__add_13) ).
fof(f1968,plain,
spl0_126,
inference(avatar_split_clause,[],[f415,f1966]) ).
fof(f1966,plain,
( spl0_126
<=> ! [X39] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f415,axiom,
! [X39] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__group__add_12) ).
fof(f1964,plain,
spl0_125,
inference(avatar_split_clause,[],[f414,f1962]) ).
fof(f1962,plain,
( spl0_125
<=> ! [X39] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f414,axiom,
! [X39] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__group__add_11) ).
fof(f1960,plain,
spl0_124,
inference(avatar_split_clause,[],[f413,f1958]) ).
fof(f1958,plain,
( spl0_124
<=> ! [X39] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f413,axiom,
! [X39] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__group__add_10) ).
fof(f1956,plain,
spl0_123,
inference(avatar_split_clause,[],[f410,f1954]) ).
fof(f1954,plain,
( spl0_123
<=> ! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_Orderings_Olinorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f410,axiom,
! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_Orderings_Olinorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_9) ).
fof(f1952,plain,
spl0_122,
inference(avatar_split_clause,[],[f404,f1950]) ).
fof(f1950,plain,
( spl0_122
<=> ! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f404,axiom,
! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_3) ).
fof(f1948,plain,
spl0_121,
inference(avatar_split_clause,[],[f403,f1946]) ).
fof(f1946,plain,
( spl0_121
<=> ! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f403,axiom,
! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_2) ).
fof(f1944,plain,
spl0_120,
inference(avatar_split_clause,[],[f402,f1942]) ).
fof(f1942,plain,
( spl0_120
<=> ! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f402,axiom,
! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_13) ).
fof(f1940,plain,
spl0_119,
inference(avatar_split_clause,[],[f401,f1938]) ).
fof(f1938,plain,
( spl0_119
<=> ! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_LOrder_Omeet__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f401,axiom,
! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_LOrder_Omeet__semilorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_12) ).
fof(f1936,plain,
spl0_118,
inference(avatar_split_clause,[],[f400,f1934]) ).
fof(f1934,plain,
( spl0_118
<=> ! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_LOrder_Ojoin__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f400,axiom,
! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_LOrder_Ojoin__semilorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_11) ).
fof(f1932,plain,
spl0_117,
inference(avatar_split_clause,[],[f399,f1930]) ).
fof(f1930,plain,
( spl0_117
<=> ! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_LOrder_Olorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f399,axiom,
! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_LOrder_Olorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_10) ).
fof(f1928,plain,
spl0_116,
inference(avatar_split_clause,[],[f398,f1926]) ).
fof(f1926,plain,
( spl0_116
<=> ! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f398,axiom,
! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_1) ).
fof(f1924,plain,
spl0_115,
inference(avatar_split_clause,[],[f397,f1922]) ).
fof(f1922,plain,
( spl0_115
<=> ! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f397,axiom,
! [X39] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_0) ).
fof(f1920,plain,
spl0_114,
inference(avatar_split_clause,[],[f393,f1918]) ).
fof(f1918,plain,
( spl0_114
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f393,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_9) ).
fof(f1916,plain,
spl0_113,
inference(avatar_split_clause,[],[f392,f1914]) ).
fof(f1914,plain,
( spl0_113
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f392,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_8) ).
fof(f1912,plain,
spl0_112,
inference(avatar_split_clause,[],[f391,f1910]) ).
fof(f1910,plain,
( spl0_112
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f391,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_7) ).
fof(f1908,plain,
spl0_111,
inference(avatar_split_clause,[],[f390,f1906]) ).
fof(f1906,plain,
( spl0_111
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f390,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_6) ).
fof(f1904,plain,
spl0_110,
inference(avatar_split_clause,[],[f389,f1902]) ).
fof(f1902,plain,
( spl0_110
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f389,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_5) ).
fof(f1900,plain,
spl0_109,
inference(avatar_split_clause,[],[f385,f1898]) ).
fof(f1898,plain,
( spl0_109
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_LOrder_Ojoin__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f385,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_LOrder_Ojoin__semilorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_18) ).
fof(f1896,plain,
spl0_108,
inference(avatar_split_clause,[],[f384,f1894]) ).
fof(f1894,plain,
( spl0_108
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_LOrder_Olorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f384,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_LOrder_Olorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_17) ).
fof(f1892,plain,
spl0_107,
inference(avatar_split_clause,[],[f383,f1890]) ).
fof(f1890,plain,
( spl0_107
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_OrderedGroup_Olordered__ab__group(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f383,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_OrderedGroup_Olordered__ab__group(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_16) ).
fof(f1888,plain,
spl0_106,
inference(avatar_split_clause,[],[f382,f1886]) ).
fof(f1886,plain,
( spl0_106
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_LOrder_Omeet__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f382,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_LOrder_Omeet__semilorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_15) ).
fof(f1884,plain,
spl0_105,
inference(avatar_split_clause,[],[f375,f1882]) ).
fof(f1882,plain,
( spl0_105
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_OrderedGroup_Opordered__ab__group__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f375,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X39)
| class_OrderedGroup_Opordered__ab__group__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_0) ).
fof(f1880,plain,
spl0_104,
inference(avatar_split_clause,[],[f374,f1878]) ).
fof(f1878,plain,
( spl0_104
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f374,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_9) ).
fof(f1876,plain,
spl0_103,
inference(avatar_split_clause,[],[f373,f1874]) ).
fof(f1874,plain,
( spl0_103
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f373,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_8) ).
fof(f1872,plain,
spl0_102,
inference(avatar_split_clause,[],[f372,f1870]) ).
fof(f1870,plain,
( spl0_102
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f372,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_7) ).
fof(f1868,plain,
spl0_101,
inference(avatar_split_clause,[],[f371,f1866]) ).
fof(f1866,plain,
( spl0_101
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f371,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_6) ).
fof(f1864,plain,
spl0_100,
inference(avatar_split_clause,[],[f370,f1862]) ).
fof(f1862,plain,
( spl0_100
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f370,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_5) ).
fof(f1860,plain,
spl0_99,
inference(avatar_split_clause,[],[f366,f1858]) ).
fof(f1858,plain,
( spl0_99
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_LOrder_Omeet__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f366,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_LOrder_Omeet__semilorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_18) ).
fof(f1856,plain,
spl0_98,
inference(avatar_split_clause,[],[f365,f1854]) ).
fof(f1854,plain,
( spl0_98
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_LOrder_Olorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f365,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_LOrder_Olorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_17) ).
fof(f1852,plain,
spl0_97,
inference(avatar_split_clause,[],[f364,f1850]) ).
fof(f1850,plain,
( spl0_97
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_OrderedGroup_Olordered__ab__group(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f364,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_OrderedGroup_Olordered__ab__group(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_16) ).
fof(f1848,plain,
spl0_96,
inference(avatar_split_clause,[],[f363,f1846]) ).
fof(f1846,plain,
( spl0_96
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_LOrder_Ojoin__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f363,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_LOrder_Ojoin__semilorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_15) ).
fof(f1844,plain,
spl0_95,
inference(avatar_split_clause,[],[f356,f1842]) ).
fof(f1842,plain,
( spl0_95
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_OrderedGroup_Opordered__ab__group__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f356,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X39)
| class_OrderedGroup_Opordered__ab__group__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_0) ).
fof(f1840,plain,
spl0_94,
inference(avatar_split_clause,[],[f354,f1838]) ).
fof(f1838,plain,
( spl0_94
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f354,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_8) ).
fof(f1836,plain,
spl0_93,
inference(avatar_split_clause,[],[f353,f1834]) ).
fof(f1834,plain,
( spl0_93
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f353,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_7) ).
fof(f1832,plain,
spl0_92,
inference(avatar_split_clause,[],[f352,f1830]) ).
fof(f1830,plain,
( spl0_92
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f352,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_6) ).
fof(f1828,plain,
spl0_91,
inference(avatar_split_clause,[],[f347,f1826]) ).
fof(f1826,plain,
( spl0_91
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f347,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_18) ).
fof(f1824,plain,
spl0_90,
inference(avatar_split_clause,[],[f346,f1822]) ).
fof(f1822,plain,
( spl0_90
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f346,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_17) ).
fof(f1820,plain,
spl0_89,
inference(avatar_split_clause,[],[f345,f1818]) ).
fof(f1818,plain,
( spl0_89
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_LOrder_Omeet__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f345,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_LOrder_Omeet__semilorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_16) ).
fof(f1816,plain,
spl0_88,
inference(avatar_split_clause,[],[f344,f1814]) ).
fof(f1814,plain,
( spl0_88
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_LOrder_Ojoin__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f344,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_LOrder_Ojoin__semilorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_15) ).
fof(f1812,plain,
spl0_87,
inference(avatar_split_clause,[],[f343,f1810]) ).
fof(f1810,plain,
( spl0_87
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_LOrder_Olorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f343,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_LOrder_Olorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_14) ).
fof(f1808,plain,
spl0_86,
inference(avatar_split_clause,[],[f338,f1806]) ).
fof(f1806,plain,
( spl0_86
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_OrderedGroup_Opordered__ab__group__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f338,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_OrderedGroup_Opordered__ab__group__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_1) ).
fof(f1804,plain,
spl0_85,
inference(avatar_split_clause,[],[f337,f1802]) ).
fof(f1802,plain,
( spl0_85
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_OrderedGroup_Olordered__ab__group(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f337,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X39)
| class_OrderedGroup_Olordered__ab__group(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_0) ).
fof(f1800,plain,
spl0_84,
inference(avatar_split_clause,[],[f336,f1798]) ).
fof(f1798,plain,
( spl0_84
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f336,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_9) ).
fof(f1796,plain,
spl0_83,
inference(avatar_split_clause,[],[f335,f1794]) ).
fof(f1794,plain,
( spl0_83
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f335,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_8) ).
fof(f1792,plain,
spl0_82,
inference(avatar_split_clause,[],[f334,f1790]) ).
fof(f1790,plain,
( spl0_82
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f334,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_7) ).
fof(f1788,plain,
spl0_81,
inference(avatar_split_clause,[],[f333,f1786]) ).
fof(f1786,plain,
( spl0_81
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f333,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_6) ).
fof(f1784,plain,
spl0_80,
inference(avatar_split_clause,[],[f332,f1782]) ).
fof(f1782,plain,
( spl0_80
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f332,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_5) ).
fof(f1780,plain,
spl0_79,
inference(avatar_split_clause,[],[f328,f1778]) ).
fof(f1778,plain,
( spl0_79
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_LOrder_Omeet__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f328,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_LOrder_Omeet__semilorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_17) ).
fof(f1776,plain,
spl0_78,
inference(avatar_split_clause,[],[f327,f1774]) ).
fof(f1774,plain,
( spl0_78
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_LOrder_Ojoin__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f327,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_LOrder_Ojoin__semilorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_16) ).
fof(f1772,plain,
spl0_77,
inference(avatar_split_clause,[],[f326,f1770]) ).
fof(f1770,plain,
( spl0_77
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_LOrder_Olorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f326,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_LOrder_Olorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_15) ).
fof(f1768,plain,
spl0_76,
inference(avatar_split_clause,[],[f319,f1766]) ).
fof(f1766,plain,
( spl0_76
<=> ! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_OrderedGroup_Opordered__ab__group__add(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f319,axiom,
! [X39] :
( ~ class_OrderedGroup_Olordered__ab__group(X39)
| class_OrderedGroup_Opordered__ab__group__add(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_0) ).
fof(f1764,plain,
spl0_75,
inference(avatar_split_clause,[],[f260,f1762]) ).
fof(f1762,plain,
( spl0_75
<=> ! [X39] :
( ~ class_LOrder_Omeet__semilorder(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f260,axiom,
! [X39] :
( ~ class_LOrder_Omeet__semilorder(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_LOrder_Omeet__semilorder_1) ).
fof(f1760,plain,
spl0_74,
inference(avatar_split_clause,[],[f259,f1758]) ).
fof(f1758,plain,
( spl0_74
<=> ! [X39] :
( ~ class_LOrder_Omeet__semilorder(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f259,axiom,
! [X39] :
( ~ class_LOrder_Omeet__semilorder(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_LOrder_Omeet__semilorder_0) ).
fof(f1756,plain,
spl0_73,
inference(avatar_split_clause,[],[f258,f1754]) ).
fof(f1754,plain,
( spl0_73
<=> ! [X39] :
( ~ class_LOrder_Olorder(X39)
| class_LOrder_Ojoin__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f258,axiom,
! [X39] :
( ~ class_LOrder_Olorder(X39)
| class_LOrder_Ojoin__semilorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_LOrder_Olorder_3) ).
fof(f1752,plain,
spl0_72,
inference(avatar_split_clause,[],[f257,f1750]) ).
fof(f1750,plain,
( spl0_72
<=> ! [X39] :
( ~ class_LOrder_Olorder(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f257,axiom,
! [X39] :
( ~ class_LOrder_Olorder(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_LOrder_Olorder_2) ).
fof(f1748,plain,
spl0_71,
inference(avatar_split_clause,[],[f256,f1746]) ).
fof(f1746,plain,
( spl0_71
<=> ! [X39] :
( ~ class_LOrder_Olorder(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f256,axiom,
! [X39] :
( ~ class_LOrder_Olorder(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_LOrder_Olorder_1) ).
fof(f1744,plain,
spl0_70,
inference(avatar_split_clause,[],[f255,f1742]) ).
fof(f1742,plain,
( spl0_70
<=> ! [X39] :
( ~ class_LOrder_Olorder(X39)
| class_LOrder_Omeet__semilorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f255,axiom,
! [X39] :
( ~ class_LOrder_Olorder(X39)
| class_LOrder_Omeet__semilorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_LOrder_Olorder_0) ).
fof(f1740,plain,
spl0_69,
inference(avatar_split_clause,[],[f254,f1738]) ).
fof(f1738,plain,
( spl0_69
<=> ! [X39] :
( ~ class_LOrder_Ojoin__semilorder(X39)
| class_Orderings_Oorder(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f254,axiom,
! [X39] :
( ~ class_LOrder_Ojoin__semilorder(X39)
| class_Orderings_Oorder(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_LOrder_Ojoin__semilorder_1) ).
fof(f1736,plain,
spl0_68,
inference(avatar_split_clause,[],[f253,f1734]) ).
fof(f1734,plain,
( spl0_68
<=> ! [X39] :
( ~ class_LOrder_Ojoin__semilorder(X39)
| class_Orderings_Oord(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f253,axiom,
! [X39] :
( ~ class_LOrder_Ojoin__semilorder(X39)
| class_Orderings_Oord(X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_LOrder_Ojoin__semilorder_0) ).
fof(f1732,plain,
spl0_67,
inference(avatar_split_clause,[],[f98,f1730]) ).
fof(f98,axiom,
! [X0,X1] : c_in(X0,c_UNIV,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUNIV__I_0) ).
fof(f1728,plain,
spl0_66,
inference(avatar_split_clause,[],[f66,f1726]) ).
fof(f1726,plain,
( spl0_66
<=> ! [X21] : ~ c_less(X21,X21,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f66,axiom,
! [X21] : ~ c_less(X21,X21,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oless__irrefl_0) ).
fof(f1724,plain,
spl0_65,
inference(avatar_split_clause,[],[f64,f1722]) ).
fof(f1722,plain,
( spl0_65
<=> ! [X21] : c_lessequals(c_0,X21,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f64,axiom,
! [X21] : c_lessequals(c_0,X21,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Ole0_0) ).
fof(f1720,plain,
spl0_64,
inference(avatar_split_clause,[],[f40,f1718]) ).
fof(f1718,plain,
( spl0_64
<=> ! [X15] : c_Divides_Oop_Advd(c_1,X15,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f40,axiom,
! [X15] : c_Divides_Oop_Advd(c_1,X15,tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Ozdvd__1__left_0) ).
fof(f1716,plain,
spl0_63,
inference(avatar_split_clause,[],[f39,f1714]) ).
fof(f1714,plain,
( spl0_63
<=> ! [X15] : c_Divides_Oop_Advd(X15,c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f39,axiom,
! [X15] : c_Divides_Oop_Advd(X15,c_0,tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Ozdvd__0__right_0) ).
fof(f1712,plain,
spl0_62,
inference(avatar_split_clause,[],[f23,f1710]) ).
fof(f1710,plain,
( spl0_62
<=> ! [X15] : c_Divides_Oop_Advd(X15,c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f23,axiom,
! [X15] : c_Divides_Oop_Advd(X15,c_0,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Divides_Odvd__0__right_0) ).
fof(f1708,plain,
spl0_61,
inference(avatar_split_clause,[],[f1404,f1705]) ).
fof(f1404,axiom,
c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f1703,plain,
spl0_60,
inference(avatar_split_clause,[],[f1402,f1700]) ).
fof(f1402,axiom,
c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1698,plain,
~ spl0_59,
inference(avatar_split_clause,[],[f1371,f1695]) ).
fof(f1695,plain,
( spl0_59
<=> c_Message_Oagent_OServer = c_Message_Oagent_OSpy ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f1371,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oagent_Odistinct__3__iff1_0) ).
fof(f1693,plain,
~ spl0_58,
inference(avatar_split_clause,[],[f1325,f1690]) ).
fof(f1690,plain,
( spl0_58
<=> c_emptyset = c_UNIV ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f1325,axiom,
c_emptyset != c_UNIV,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUNIV__not__empty__iff1_0) ).
fof(f1688,plain,
~ spl0_57,
inference(avatar_split_clause,[],[f1280,f1685]) ).
fof(f1685,plain,
( spl0_57
<=> c_Numeral_Obit_OB0 = c_Numeral_Obit_OB1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f1280,axiom,
c_Numeral_Obit_OB0 != c_Numeral_Obit_OB1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obit_Odistinct__1__iff1_0) ).
fof(f1683,plain,
~ spl0_56,
inference(avatar_split_clause,[],[f1188,f1680]) ).
fof(f1680,plain,
( spl0_56
<=> c_Extraction_Osumbool_OLeft = c_Extraction_Osumbool_ORight ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f1188,axiom,
c_Extraction_Osumbool_OLeft != c_Extraction_Osumbool_ORight,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Extraction_Osumbool_Odistinct__1__iff1_0) ).
fof(f1678,plain,
spl0_55,
inference(avatar_split_clause,[],[f249,f1676]) ).
fof(f1676,plain,
( spl0_55
<=> ! [X37] : class_Orderings_Oorder(tc_set(X37)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f249,axiom,
! [X37] : class_Orderings_Oorder(tc_set(X37)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_set_2) ).
fof(f1674,plain,
spl0_54,
inference(avatar_split_clause,[],[f248,f1672]) ).
fof(f1672,plain,
( spl0_54
<=> ! [X37] : class_Orderings_Oord(tc_set(X37)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f248,axiom,
! [X37] : class_Orderings_Oord(tc_set(X37)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_set_1) ).
fof(f1670,plain,
spl0_53,
inference(avatar_split_clause,[],[f126,f1667]) ).
fof(f1667,plain,
( spl0_53
<=> c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f126,axiom,
c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Owf__less__than_0) ).
fof(f1665,plain,
spl0_52,
inference(avatar_split_clause,[],[f124,f1662]) ).
fof(f1662,plain,
( spl0_52
<=> c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f124,axiom,
c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Otrans__less__than_0) ).
fof(f1660,plain,
spl0_51,
inference(avatar_split_clause,[],[f123,f1658]) ).
fof(f1658,plain,
( spl0_51
<=> ! [X1] : c_Wellfounded__Recursion_Owf(c_emptyset,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f123,axiom,
! [X1] : c_Wellfounded__Recursion_Owf(c_emptyset,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Owf__empty_0) ).
fof(f1656,plain,
~ spl0_50,
inference(avatar_split_clause,[],[f1405,f1653]) ).
fof(f1405,axiom,
~ c_in(v_X,c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f1651,plain,
spl0_49,
inference(avatar_split_clause,[],[f1403,f1648]) ).
fof(f1403,axiom,
c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1646,plain,
spl0_48,
inference(avatar_split_clause,[],[f1401,f1643]) ).
fof(f1401,axiom,
c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1641,plain,
spl0_47,
inference(avatar_split_clause,[],[f244,f1638]) ).
fof(f1638,plain,
( spl0_47
<=> class_Wellfounded__Recursion_Owellorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f244,axiom,
class_Wellfounded__Recursion_Owellorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_8) ).
fof(f1636,plain,
spl0_46,
inference(avatar_split_clause,[],[f243,f1633]) ).
fof(f1633,plain,
( spl0_46
<=> class_Orderings_Olinorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f243,axiom,
class_Orderings_Olinorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_7) ).
fof(f1631,plain,
spl0_45,
inference(avatar_split_clause,[],[f242,f1628]) ).
fof(f1628,plain,
( spl0_45
<=> class_LOrder_Olorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f242,axiom,
class_LOrder_Olorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_6) ).
fof(f1626,plain,
spl0_44,
inference(avatar_split_clause,[],[f241,f1623]) ).
fof(f1623,plain,
( spl0_44
<=> class_LOrder_Ojoin__semilorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f241,axiom,
class_LOrder_Ojoin__semilorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_5) ).
fof(f1621,plain,
spl0_43,
inference(avatar_split_clause,[],[f236,f1618]) ).
fof(f1618,plain,
( spl0_43
<=> class_Ring__and__Field_Oordered__semidom(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f236,axiom,
class_Ring__and__Field_Oordered__semidom(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_43) ).
fof(f1616,plain,
spl0_42,
inference(avatar_split_clause,[],[f235,f1613]) ).
fof(f1613,plain,
( spl0_42
<=> class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f235,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_42) ).
fof(f1611,plain,
spl0_41,
inference(avatar_split_clause,[],[f234,f1608]) ).
fof(f1608,plain,
( spl0_41
<=> class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f234,axiom,
class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_41) ).
fof(f1606,plain,
spl0_40,
inference(avatar_split_clause,[],[f233,f1603]) ).
fof(f1603,plain,
( spl0_40
<=> class_Ring__and__Field_Opordered__comm__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f233,axiom,
class_Ring__and__Field_Opordered__comm__semiring(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_40) ).
fof(f1601,plain,
spl0_39,
inference(avatar_split_clause,[],[f232,f1598]) ).
fof(f1598,plain,
( spl0_39
<=> class_LOrder_Omeet__semilorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f232,axiom,
class_LOrder_Omeet__semilorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_4) ).
fof(f1596,plain,
spl0_38,
inference(avatar_split_clause,[],[f231,f1593]) ).
fof(f1593,plain,
( spl0_38
<=> class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f231,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_39) ).
fof(f1591,plain,
spl0_37,
inference(avatar_split_clause,[],[f230,f1588]) ).
fof(f1588,plain,
( spl0_37
<=> class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f230,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_38) ).
fof(f1586,plain,
spl0_36,
inference(avatar_split_clause,[],[f229,f1583]) ).
fof(f1583,plain,
( spl0_36
<=> class_Ring__and__Field_Opordered__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f229,axiom,
class_Ring__and__Field_Opordered__semiring(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_37) ).
fof(f1581,plain,
spl0_35,
inference(avatar_split_clause,[],[f228,f1578]) ).
fof(f1578,plain,
( spl0_35
<=> class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f228,axiom,
class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_36) ).
fof(f1576,plain,
spl0_34,
inference(avatar_split_clause,[],[f227,f1573]) ).
fof(f1573,plain,
( spl0_34
<=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f227,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_35) ).
fof(f1571,plain,
spl0_33,
inference(avatar_split_clause,[],[f226,f1568]) ).
fof(f1568,plain,
( spl0_33
<=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f226,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_34) ).
fof(f1566,plain,
spl0_32,
inference(avatar_split_clause,[],[f225,f1563]) ).
fof(f1563,plain,
( spl0_32
<=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f225,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_33) ).
fof(f1561,plain,
spl0_31,
inference(avatar_split_clause,[],[f221,f1558]) ).
fof(f1558,plain,
( spl0_31
<=> class_Orderings_Oorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f221,axiom,
class_Orderings_Oorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_3) ).
fof(f1556,plain,
spl0_30,
inference(avatar_split_clause,[],[f210,f1553]) ).
fof(f1553,plain,
( spl0_30
<=> class_Orderings_Oord(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f210,axiom,
class_Orderings_Oord(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_2) ).
fof(f1551,plain,
spl0_29,
inference(avatar_split_clause,[],[f195,f1548]) ).
fof(f1548,plain,
( spl0_29
<=> class_Finite__Set_Ofinite(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f195,axiom,
class_Finite__Set_Ofinite(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool_0) ).
fof(f1546,plain,
spl0_28,
inference(avatar_split_clause,[],[f194,f1543]) ).
fof(f1543,plain,
( spl0_28
<=> class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f194,axiom,
class_Finite__Set_Ofinite(tc_Product__Type_Ounit),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Product____Type__Ounit_0) ).
fof(f1541,plain,
spl0_27,
inference(avatar_split_clause,[],[f183,f1538]) ).
fof(f1538,plain,
( spl0_27
<=> class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f183,axiom,
class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_58) ).
fof(f1536,plain,
spl0_26,
inference(avatar_split_clause,[],[f181,f1533]) ).
fof(f1533,plain,
( spl0_26
<=> class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f181,axiom,
class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_56) ).
fof(f1531,plain,
spl0_25,
inference(avatar_split_clause,[],[f180,f1528]) ).
fof(f1528,plain,
( spl0_25
<=> class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f180,axiom,
class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_55) ).
fof(f1526,plain,
spl0_24,
inference(avatar_split_clause,[],[f178,f1523]) ).
fof(f1523,plain,
( spl0_24
<=> class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f178,axiom,
class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_53) ).
fof(f1521,plain,
spl0_23,
inference(avatar_split_clause,[],[f177,f1518]) ).
fof(f1518,plain,
( spl0_23
<=> class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f177,axiom,
class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_52) ).
fof(f1516,plain,
spl0_22,
inference(avatar_split_clause,[],[f176,f1513]) ).
fof(f1513,plain,
( spl0_22
<=> class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f176,axiom,
class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_51) ).
fof(f1511,plain,
spl0_21,
inference(avatar_split_clause,[],[f175,f1508]) ).
fof(f1508,plain,
( spl0_21
<=> class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f175,axiom,
class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_50) ).
fof(f1506,plain,
spl0_20,
inference(avatar_split_clause,[],[f174,f1503]) ).
fof(f1503,plain,
( spl0_20
<=> class_Orderings_Oord(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f174,axiom,
class_Orderings_Oord(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_5) ).
fof(f1501,plain,
spl0_19,
inference(avatar_split_clause,[],[f173,f1498]) ).
fof(f1498,plain,
( spl0_19
<=> class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f173,axiom,
class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_49) ).
fof(f1496,plain,
spl0_18,
inference(avatar_split_clause,[],[f172,f1493]) ).
fof(f1493,plain,
( spl0_18
<=> class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f172,axiom,
class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_48) ).
fof(f1491,plain,
spl0_17,
inference(avatar_split_clause,[],[f171,f1488]) ).
fof(f1488,plain,
( spl0_17
<=> class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f171,axiom,
class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_47) ).
fof(f1486,plain,
spl0_16,
inference(avatar_split_clause,[],[f170,f1483]) ).
fof(f1483,plain,
( spl0_16
<=> class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f170,axiom,
class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_46) ).
fof(f1481,plain,
spl0_15,
inference(avatar_split_clause,[],[f169,f1478]) ).
fof(f1478,plain,
( spl0_15
<=> class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f169,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_45) ).
fof(f1476,plain,
spl0_14,
inference(avatar_split_clause,[],[f168,f1473]) ).
fof(f1473,plain,
( spl0_14
<=> class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f168,axiom,
class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_44) ).
fof(f1471,plain,
spl0_13,
inference(avatar_split_clause,[],[f167,f1468]) ).
fof(f1468,plain,
( spl0_13
<=> class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f167,axiom,
class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_43) ).
fof(f1466,plain,
spl0_12,
inference(avatar_split_clause,[],[f166,f1463]) ).
fof(f1463,plain,
( spl0_12
<=> class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f166,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_42) ).
fof(f1461,plain,
spl0_11,
inference(avatar_split_clause,[],[f165,f1458]) ).
fof(f1458,plain,
( spl0_11
<=> class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f165,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_41) ).
fof(f1456,plain,
spl0_10,
inference(avatar_split_clause,[],[f164,f1453]) ).
fof(f1453,plain,
( spl0_10
<=> class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f164,axiom,
class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_40) ).
fof(f1451,plain,
spl0_9,
inference(avatar_split_clause,[],[f162,f1448]) ).
fof(f1448,plain,
( spl0_9
<=> class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f162,axiom,
class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_39) ).
fof(f1446,plain,
spl0_8,
inference(avatar_split_clause,[],[f161,f1443]) ).
fof(f1443,plain,
( spl0_8
<=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f161,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_38) ).
fof(f1441,plain,
spl0_7,
inference(avatar_split_clause,[],[f160,f1438]) ).
fof(f1438,plain,
( spl0_7
<=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f160,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_37) ).
fof(f1436,plain,
spl0_6,
inference(avatar_split_clause,[],[f159,f1433]) ).
fof(f1433,plain,
( spl0_6
<=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f159,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_36) ).
fof(f1431,plain,
spl0_5,
inference(avatar_split_clause,[],[f158,f1428]) ).
fof(f1428,plain,
( spl0_5
<=> class_Orderings_Olinorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f158,axiom,
class_Orderings_Olinorder(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_35) ).
fof(f1426,plain,
spl0_4,
inference(avatar_split_clause,[],[f157,f1423]) ).
fof(f1423,plain,
( spl0_4
<=> class_LOrder_Olorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f157,axiom,
class_LOrder_Olorder(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_34) ).
fof(f1421,plain,
spl0_3,
inference(avatar_split_clause,[],[f156,f1418]) ).
fof(f1418,plain,
( spl0_3
<=> class_LOrder_Ojoin__semilorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f156,axiom,
class_LOrder_Ojoin__semilorder(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_33) ).
fof(f1416,plain,
spl0_2,
inference(avatar_split_clause,[],[f155,f1413]) ).
fof(f1413,plain,
( spl0_2
<=> class_LOrder_Omeet__semilorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f155,axiom,
class_LOrder_Omeet__semilorder(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_32) ).
fof(f1411,plain,
spl0_1,
inference(avatar_split_clause,[],[f154,f1408]) ).
fof(f1408,plain,
( spl0_1
<=> class_Orderings_Oorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f154,axiom,
class_Orderings_Oorder(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_31) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.07 % Problem : SWV247-1 : TPTP v8.1.2. Released v3.2.0.
% 0.05/0.08 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.07/0.27 % Computer : n024.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 300
% 0.07/0.27 % DateTime : Fri May 3 20:54:23 EDT 2024
% 0.07/0.27 % CPUTime :
% 0.07/0.28 % (29245)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.32 % (29258)WARNING: value z3 for option sas not known
% 0.12/0.32 % (29256)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.32 % (29257)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.32 % (29258)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)
% 0.12/0.32 % (29259)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.32 % (29262)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)
% 0.12/0.32 % (29260)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)
% 0.12/0.32 % (29263)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)
% 0.12/0.35 TRYING [1]
% 0.12/0.36 TRYING [2]
% 0.12/0.45 TRYING [3]
% 0.12/0.53 TRYING [1]
% 1.78/0.58 TRYING [2]
% 3.91/0.91 TRYING [4]
% 6.62/1.31 TRYING [3]
% 7.54/1.45 TRYING [1]
% 8.08/1.45 TRYING [2]
% 8.26/1.50 TRYING [3]
% 10.57/1.82 TRYING [4]
% 23.11/3.59 TRYING [5]
% 24.32/3.81 TRYING [5]
% 38.43/5.80 TRYING [4]
% 79.18/11.64 TRYING [6]
% 92.41/13.52 % (29260)First to succeed.
% 93.39/13.64 % (29260)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-29245"
% 93.39/13.65 % (29260)Refutation found. Thanks to Tanya!
% 93.39/13.65 % SZS status Unsatisfiable for theBenchmark
% 93.39/13.65 % SZS output start Proof for theBenchmark
% See solution above
% 93.83/13.70 % (29260)------------------------------
% 93.83/13.70 % (29260)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 93.83/13.70 % (29260)Termination reason: Refutation
% 93.83/13.70
% 93.83/13.70 % (29260)Memory used [KB]: 84556
% 93.83/13.70 % (29260)Time elapsed: 13.321 s
% 93.83/13.70 % (29260)Instructions burned: 39812 (million)
% 93.83/13.70 % (29245)Success in time 13.345 s
%------------------------------------------------------------------------------