TSTP Solution File: SEU367+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU367+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n007.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 09:36:36 EDT 2024
% Result : Theorem 39.03s 5.94s
% Output : Refutation 39.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1264
% Syntax : Number of formulae : 4342 ( 114 unt; 0 def)
% Number of atoms : 27996 (2149 equ)
% Maximal formula atoms : 21 ( 6 avg)
% Number of connectives : 38783 (15129 ~;22189 |; 192 &)
% (1206 <=>; 67 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 10 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 1216 (1214 usr;1195 prp; 0-3 aty)
% Number of functors : 31 ( 31 usr; 11 con; 0-4 aty)
% Number of variables : 12292 (12214 !; 78 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f23447,plain,
$false,
inference(avatar_sat_refutation,[],[f237,f242,f247,f252,f257,f266,f271,f276,f281,f286,f291,f296,f301,f306,f311,f316,f320,f324,f328,f332,f336,f340,f349,f353,f357,f361,f365,f369,f373,f377,f381,f386,f394,f398,f402,f406,f411,f415,f419,f423,f427,f431,f435,f439,f443,f447,f455,f463,f467,f471,f475,f479,f483,f503,f507,f518,f522,f527,f531,f550,f554,f558,f562,f566,f570,f577,f581,f596,f600,f604,f609,f613,f617,f621,f627,f631,f638,f643,f647,f655,f666,f673,f675,f681,f685,f691,f697,f703,f707,f711,f718,f722,f723,f724,f732,f754,f762,f766,f770,f781,f785,f789,f793,f797,f808,f812,f820,f829,f833,f837,f841,f853,f857,f861,f865,f869,f873,f877,f898,f902,f906,f913,f917,f928,f934,f941,f945,f949,f962,f970,f974,f983,f987,f997,f1001,f1009,f1016,f1020,f1027,f1031,f1035,f1043,f1061,f1075,f1079,f1083,f1087,f1123,f1127,f1140,f1145,f1159,f1168,f1172,f1179,f1187,f1191,f1195,f1202,f1214,f1219,f1232,f1244,f1248,f1252,f1256,f1260,f1261,f1269,f1273,f1277,f1281,f1285,f1337,f1342,f1347,f1359,f1363,f1367,f1371,f1375,f1382,f1386,f1391,f1395,f1399,f1403,f1407,f1411,f1415,f1419,f1423,f1467,f1471,f1475,f1483,f1495,f1499,f1518,f1523,f1529,f1535,f1541,f1546,f1554,f1558,f1562,f1563,f1571,f1575,f1581,f1585,f1592,f1598,f1608,f1612,f1620,f1627,f1634,f1638,f1642,f1662,f1668,f1677,f1685,f1689,f1697,f1701,f1708,f1713,f1717,f1721,f1725,f1729,f1733,f1737,f1795,f1799,f1803,f1809,f1813,f1817,f1837,f1841,f1861,f1868,f1911,f1915,f1919,f1998,f2003,f2043,f2047,f2051,f2055,f2063,f2072,f2076,f2080,f2088,f2096,f2106,f2110,f2119,f2129,f2134,f2138,f2143,f2147,f2151,f2155,f2163,f2180,f2190,f2194,f2205,f2218,f2222,f2223,f2227,f2234,f2254,f2259,f2264,f2270,f2279,f2313,f2318,f2322,f2330,f2343,f2360,f2372,f2376,f2377,f2441,f2445,f2450,f2457,f2459,f2483,f2486,f2490,f2534,f2538,f2542,f2567,f2568,f2615,f2619,f2623,f2627,f2631,f2635,f2639,f2640,f2657,f2661,f2680,f2685,f2689,f2693,f2697,f2701,f2705,f2709,f2764,f2804,f2809,f2850,f2890,f2894,f2898,f2902,f2931,f2938,f2942,f2950,f2990,f3030,f3039,f3043,f3047,f3051,f3106,f3110,f3138,f3143,f3147,f3232,f3244,f3248,f3252,f3256,f3290,f3294,f3313,f3317,f3321,f3337,f3341,f3345,f3354,f3358,f3362,f3417,f3421,f3425,f3438,f3483,f3487,f3495,f3496,f3503,f3525,f3532,f3536,f3540,f3544,f3560,f3601,f3605,f3609,f3613,f3626,f3667,f3673,f3680,f3685,f3726,f3733,f3737,f3741,f3773,f3780,f3784,f3788,f3792,f3796,f3800,f3804,f3808,f3813,f3817,f4061,f4065,f4069,f4073,f4077,f4081,f4120,f4142,f4146,f4150,f4154,f4158,f4177,f4184,f4188,f4192,f4196,f4200,f4204,f4208,f4300,f4304,f4308,f4313,f4317,f4354,f4358,f4362,f4366,f4370,f4377,f4381,f4385,f4389,f4394,f4409,f4413,f4417,f4421,f4425,f4429,f4433,f4437,f4441,f4445,f4449,f4453,f4498,f4602,f4606,f4610,f4623,f4627,f4631,f4635,f4639,f4740,f4804,f4808,f4812,f4859,f4863,f4867,f4871,f4891,f4895,f4899,f4904,f4908,f4935,f4939,f4947,f4958,f4962,f4966,f4970,f4986,f4993,f4997,f5001,f5005,f5009,f5013,f5017,f5031,f5050,f5054,f5058,f5062,f5066,f5086,f5090,f5094,f5098,f5102,f5111,f5168,f5172,f5176,f5180,f5184,f5318,f5322,f5326,f5330,f5458,f5462,f5466,f5470,f5474,f5491,f5542,f5546,f5550,f5554,f5574,f5616,f5620,f5631,f5635,f5639,f5654,f5658,f5662,f5666,f5682,f5690,f5694,f5706,f5710,f5714,f5726,f5730,f5734,f5738,f5742,f5746,f5750,f5759,f5763,f5783,f5787,f5791,f5803,f5807,f5811,f5815,f5819,f5823,f5845,f5869,f5873,f5877,f5881,f5885,f5907,f5911,f5979,f5989,f5993,f5997,f6001,f6005,f6009,f6013,f6017,f6021,f6026,f6138,f6142,f6150,f6194,f6198,f6206,f6211,f6216,f6224,f6228,f6236,f6240,f6246,f6253,f6297,f6341,f6345,f6349,f6353,f6357,f6362,f6366,f6382,f6386,f6390,f6397,f6401,f6405,f6421,f6425,f6429,f6437,f6441,f6449,f6453,f6462,f6466,f6470,f6474,f6486,f6493,f6497,f6501,f6513,f6517,f6521,f6525,f6529,f6541,f6545,f6553,f6565,f6569,f6573,f6577,f6581,f6595,f6601,f6605,f6609,f6613,f6617,f6621,f6625,f6629,f6633,f6642,f6646,f6650,f6669,f6683,f6687,f6691,f6695,f6699,f6703,f6707,f6711,f6729,f6735,f6739,f6743,f6747,f6759,f6764,f6772,f6777,f6782,f6787,f6796,f6800,f6819,f6827,f6835,f6843,f6850,f6854,f6858,f6863,f6871,f6883,f6904,f6908,f6920,f6924,f6929,f6930,f6942,f6959,f6974,f6989,f6990,f7057,f7061,f7074,f7091,f7095,f7099,f7103,f7152,f7240,f7256,f7260,f7265,f7269,f7273,f7277,f7281,f7303,f7310,f7319,f7323,f7328,f7332,f7336,f7340,f7357,f7374,f7391,f7409,f7413,f7427,f7443,f7459,f7475,f7535,f7558,f7564,f7565,f7631,f7637,f7641,f7646,f7647,f7693,f7698,f7703,f7708,f7713,f7725,f7756,f7761,f7765,f7773,f7777,f7781,f7785,f7789,f7832,f7836,f7840,f7844,f7848,f7855,f7876,f7880,f7885,f7922,f7927,f8025,f8029,f8034,f8038,f8043,f8048,f8062,f8066,f8073,f8077,f8082,f8086,f8134,f8139,f8143,f8147,f8151,f8188,f8225,f8262,f8325,f8329,f8334,f8338,f8343,f8347,f8351,f8355,f8359,f8363,f8370,f8374,f8378,f8383,f8387,f8391,f8396,f8430,f8435,f8439,f8443,f8447,f8454,f8458,f8462,f8503,f8508,f8513,f8518,f8523,f8528,f8532,f8536,f8541,f8545,f8549,f8553,f8557,f8561,f8565,f8884,f8888,f8892,f8896,f8954,f8959,f8964,f9013,f9017,f9021,f9071,f9076,f9135,f9139,f9143,f9150,f9154,f9158,f9291,f9295,f9356,f9360,f9364,f9368,f9372,f9405,f9434,f9438,f9498,f9505,f9510,f9514,f9523,f9527,f9531,f9535,f9539,f9543,f9548,f9722,f9726,f9730,f9734,f9893,f9898,f9902,f9907,f9911,f9915,f9919,f9923,f10029,f10034,f10043,f10050,f10057,f10064,f10071,f10076,f10080,f10085,f10090,f10095,f10107,f10112,f10117,f10122,f10127,f10131,f10135,f10139,f10143,f10147,f10151,f10155,f10159,f10163,f10167,f10442,f10446,f10450,f10454,f10458,f10462,f10466,f10654,f10666,f10670,f10674,f10743,f10804,f10808,f10812,f10817,f10821,f10996,f11057,f11061,f11073,f11085,f11097,f11101,f11173,f11246,f11250,f11255,f11260,f11264,f11325,f11451,f11455,f11459,f11463,f11467,f11471,f11602,f11724,f11800,f11805,f11870,f11877,f11881,f11885,f11987,f11994,f11999,f12003,f12007,f12011,f12015,f12019,f12023,f12027,f12031,f12104,f12572,f12577,f12581,f12585,f12589,f12593,f12597,f12719,f12726,f12730,f12735,f12739,f12743,f12747,f12829,f13213,f13217,f13221,f13226,f13233,f13240,f13247,f13254,f13259,f13264,f13348,f13352,f13359,f13366,f13370,f13377,f13384,f13398,f13402,f13406,f13492,f13496,f13500,f13504,f13729,f13733,f13746,f13759,f13763,f13767,f13771,f13776,f13780,f14048,f14061,f14068,f14134,f14138,f14328,f14341,f14345,f14358,f14371,f14375,f14388,f14401,f14432,f14436,f14514,f14518,f14584,f14650,f14654,f14658,f14866,f14870,f14874,f14878,f14913,f14926,f14939,f14952,f14956,f14960,f15038,f15104,f15179,f15186,f15191,f15198,f15205,f15209,f15213,f15217,f15221,f15225,f15292,f15606,f15610,f15614,f15618,f15622,f15626,f15642,f15646,f15650,f15654,f15658,f15664,f15668,f15672,f15676,f15680,f15684,f15936,f16374,f16378,f16382,f16388,f16392,f16396,f16400,f16724,f16790,f16794,f16870,f16874,f16882,f16895,f16899,f16924,f16990,f17003,f17007,f17011,f17015,f17019,f17165,f17178,f17201,f17205,f17342,f17348,f17354,f17358,f17371,f17384,f17397,f17401,f17405,f17562,f17578,f17591,f17604,f17617,f17621,f17625,f17700,f17707,f17713,f17719,f17728,f17734,f17740,f17746,f17753,f17760,f17764,f17768,f17967,f17971,f17975,f17982,f17986,f17990,f17994,f17998,f18002,f18006,f18010,f18014,f18018,f19221,f19261,f19265,f19269,f19273,f19277,f19281,f19285,f19789,f19793,f19797,f19801,f19805,f19809,f19813,f19817,f20208,f20283,f20287,f20291,f20295,f20306,f20312,f20316,f20320,f20324,f20328,f20332,f20336,f20340,f20344,f20367,f20371,f20375,f20379,f21253,f21268,f21281,f21307,f21310,f21312,f21318,f21319,f21340,f21554,f21559,f21564,f21569,f21694,f21699,f21720,f21739,f21742,f21929,f22086,f22088,f22094,f22098,f22099,f22141,f22143,f22156,f22174,f22367,f22369,f22464,f22469,f22474,f22479,f22494,f22498,f22502,f22604,f22617,f22698,f22790,f22948,f22964,f22976,f22980,f22992,f23004,f23027,f23419,f23423,f23426,f23441,f23446]) ).
fof(f23446,plain,
( ~ spl27_200
| ~ spl27_8 ),
inference(avatar_split_clause,[],[f163,f268,f1526]) ).
fof(f1526,plain,
( spl27_200
<=> is_eventually_in(sK4,sK5,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_200])]) ).
fof(f268,plain,
( spl27_8
<=> is_often_in(sK4,sK5,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_8])]) ).
fof(f163,plain,
( ~ is_often_in(sK4,sK5,sK7)
| ~ is_eventually_in(sK4,sK5,sK7) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
( ( ( ~ is_often_in(sK4,sK5,sK7)
& is_often_in(sK4,sK5,sK6) )
| ( ~ is_eventually_in(sK4,sK5,sK7)
& is_eventually_in(sK4,sK5,sK6) ) )
& subset(sK6,sK7)
& net_str(sK5,sK4)
& ~ empty_carrier(sK5)
& one_sorted_str(sK4)
& ~ empty_carrier(sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7])],[f59,f110,f109,f108]) ).
fof(f108,plain,
( ? [X0] :
( ? [X1] :
( ? [X2,X3] :
( ( ( ~ is_often_in(X0,X1,X3)
& is_often_in(X0,X1,X2) )
| ( ~ is_eventually_in(X0,X1,X3)
& is_eventually_in(X0,X1,X2) ) )
& subset(X2,X3) )
& net_str(X1,X0)
& ~ empty_carrier(X1) )
& one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ( ? [X1] :
( ? [X3,X2] :
( ( ( ~ is_often_in(sK4,X1,X3)
& is_often_in(sK4,X1,X2) )
| ( ~ is_eventually_in(sK4,X1,X3)
& is_eventually_in(sK4,X1,X2) ) )
& subset(X2,X3) )
& net_str(X1,sK4)
& ~ empty_carrier(X1) )
& one_sorted_str(sK4)
& ~ empty_carrier(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f109,plain,
( ? [X1] :
( ? [X3,X2] :
( ( ( ~ is_often_in(sK4,X1,X3)
& is_often_in(sK4,X1,X2) )
| ( ~ is_eventually_in(sK4,X1,X3)
& is_eventually_in(sK4,X1,X2) ) )
& subset(X2,X3) )
& net_str(X1,sK4)
& ~ empty_carrier(X1) )
=> ( ? [X3,X2] :
( ( ( ~ is_often_in(sK4,sK5,X3)
& is_often_in(sK4,sK5,X2) )
| ( ~ is_eventually_in(sK4,sK5,X3)
& is_eventually_in(sK4,sK5,X2) ) )
& subset(X2,X3) )
& net_str(sK5,sK4)
& ~ empty_carrier(sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f110,plain,
( ? [X3,X2] :
( ( ( ~ is_often_in(sK4,sK5,X3)
& is_often_in(sK4,sK5,X2) )
| ( ~ is_eventually_in(sK4,sK5,X3)
& is_eventually_in(sK4,sK5,X2) ) )
& subset(X2,X3) )
=> ( ( ( ~ is_often_in(sK4,sK5,sK7)
& is_often_in(sK4,sK5,sK6) )
| ( ~ is_eventually_in(sK4,sK5,sK7)
& is_eventually_in(sK4,sK5,sK6) ) )
& subset(sK6,sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
? [X0] :
( ? [X1] :
( ? [X2,X3] :
( ( ( ~ is_often_in(X0,X1,X3)
& is_often_in(X0,X1,X2) )
| ( ~ is_eventually_in(X0,X1,X3)
& is_eventually_in(X0,X1,X2) ) )
& subset(X2,X3) )
& net_str(X1,X0)
& ~ empty_carrier(X1) )
& one_sorted_str(X0)
& ~ empty_carrier(X0) ),
inference(flattening,[],[f58]) ).
fof(f58,plain,
? [X0] :
( ? [X1] :
( ? [X2,X3] :
( ( ( ~ is_often_in(X0,X1,X3)
& is_often_in(X0,X1,X2) )
| ( ~ is_eventually_in(X0,X1,X3)
& is_eventually_in(X0,X1,X2) ) )
& subset(X2,X3) )
& net_str(X1,X0)
& ~ empty_carrier(X1) )
& one_sorted_str(X0)
& ~ empty_carrier(X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,negated_conjecture,
~ ! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( ( net_str(X1,X0)
& ~ empty_carrier(X1) )
=> ! [X2,X3] :
( subset(X2,X3)
=> ( ( is_often_in(X0,X1,X2)
=> is_often_in(X0,X1,X3) )
& ( is_eventually_in(X0,X1,X2)
=> is_eventually_in(X0,X1,X3) ) ) ) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( ( net_str(X1,X0)
& ~ empty_carrier(X1) )
=> ! [X2,X3] :
( subset(X2,X3)
=> ( ( is_often_in(X0,X1,X2)
=> is_often_in(X0,X1,X3) )
& ( is_eventually_in(X0,X1,X2)
=> is_eventually_in(X0,X1,X3) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_waybel_0) ).
fof(f23441,plain,
( ~ spl27_69
| spl27_8
| ~ spl27_62
| ~ spl27_283 ),
inference(avatar_split_clause,[],[f2275,f2267,f552,f268,f589]) ).
fof(f589,plain,
( spl27_69
<=> sP1(sK4,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_69])]) ).
fof(f552,plain,
( spl27_62
<=> ! [X2,X0,X1] :
( is_often_in(X0,X1,X2)
| ~ sP0(X2,X1,X0)
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_62])]) ).
fof(f2267,plain,
( spl27_283
<=> sP0(sK7,sK5,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_283])]) ).
fof(f2275,plain,
( is_often_in(sK4,sK5,sK7)
| ~ sP1(sK4,sK5)
| ~ spl27_62
| ~ spl27_283 ),
inference(resolution,[],[f2269,f553]) ).
fof(f553,plain,
( ! [X2,X0,X1] :
( ~ sP0(X2,X1,X0)
| is_often_in(X0,X1,X2)
| ~ sP1(X0,X1) )
| ~ spl27_62 ),
inference(avatar_component_clause,[],[f552]) ).
fof(f2269,plain,
( sP0(sK7,sK5,sK4)
| ~ spl27_283 ),
inference(avatar_component_clause,[],[f2267]) ).
fof(f23426,plain,
( spl27_283
| ~ spl27_70
| ~ spl27_1070 ),
inference(avatar_split_clause,[],[f21726,f16722,f593,f2267]) ).
fof(f593,plain,
( spl27_70
<=> sP0(sK6,sK5,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_70])]) ).
fof(f16722,plain,
( spl27_1070
<=> ! [X0,X1] :
( sP0(sK7,X0,X1)
| ~ sP0(sK6,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1070])]) ).
fof(f21726,plain,
( sP0(sK7,sK5,sK4)
| ~ spl27_70
| ~ spl27_1070 ),
inference(resolution,[],[f595,f16723]) ).
fof(f16723,plain,
( ! [X0,X1] :
( ~ sP0(sK6,X0,X1)
| sP0(sK7,X0,X1) )
| ~ spl27_1070 ),
inference(avatar_component_clause,[],[f16722]) ).
fof(f595,plain,
( sP0(sK6,sK5,sK4)
| ~ spl27_70 ),
inference(avatar_component_clause,[],[f593]) ).
fof(f23423,plain,
( spl27_1194
| ~ spl27_159
| ~ spl27_218 ),
inference(avatar_split_clause,[],[f1658,f1636,f1200,f23421]) ).
fof(f23421,plain,
( spl27_1194
<=> ! [X4,X0,X3,X2,X1] :
( ~ sP2(the_carrier(sK5),X0,X1)
| sP2(X2,X0,X3)
| ~ element(sK15(the_carrier(sK5),X0,X1),the_carrier(X0))
| ~ element(sK14(X2,X0,X3,sK15(the_carrier(sK5),X0,X1)),the_carrier(X0))
| apply_netmap(X4,sK5,sK13(sK6,sK5,sK4,apply_netmap(X1,X0,sK14(X2,X0,X3,sK15(the_carrier(sK5),X0,X1))))) = apply_on_structs(sK5,X4,the_mapping(X4,sK5),sK13(sK6,sK5,sK4,apply_netmap(X1,X0,sK14(X2,X0,X3,sK15(the_carrier(sK5),X0,X1)))))
| ~ net_str(sK5,X4)
| empty_carrier(X4)
| ~ one_sorted_str(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1194])]) ).
fof(f1200,plain,
( spl27_159
<=> ! [X0,X1] :
( ~ net_str(sK5,X0)
| apply_netmap(X0,sK5,sK13(sK6,sK5,sK4,X1)) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK6,sK5,sK4,X1))
| ~ element(X1,the_carrier(sK5))
| empty_carrier(X0)
| ~ one_sorted_str(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_159])]) ).
fof(f1636,plain,
( spl27_218
<=> ! [X4,X0,X3,X2,X1] :
( ~ element(sK14(X0,X1,X2,sK15(X3,X1,X4)),the_carrier(X1))
| ~ sP2(X3,X1,X4)
| sP2(X0,X1,X2)
| ~ element(sK15(X3,X1,X4),the_carrier(X1))
| element(apply_netmap(X4,X1,sK14(X0,X1,X2,sK15(X3,X1,X4))),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_218])]) ).
fof(f1658,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sP2(the_carrier(sK5),X0,X1)
| sP2(X2,X0,X3)
| ~ element(sK15(the_carrier(sK5),X0,X1),the_carrier(X0))
| ~ element(sK14(X2,X0,X3,sK15(the_carrier(sK5),X0,X1)),the_carrier(X0))
| apply_netmap(X4,sK5,sK13(sK6,sK5,sK4,apply_netmap(X1,X0,sK14(X2,X0,X3,sK15(the_carrier(sK5),X0,X1))))) = apply_on_structs(sK5,X4,the_mapping(X4,sK5),sK13(sK6,sK5,sK4,apply_netmap(X1,X0,sK14(X2,X0,X3,sK15(the_carrier(sK5),X0,X1)))))
| ~ net_str(sK5,X4)
| empty_carrier(X4)
| ~ one_sorted_str(X4) )
| ~ spl27_159
| ~ spl27_218 ),
inference(resolution,[],[f1637,f1201]) ).
fof(f1201,plain,
( ! [X0,X1] :
( ~ element(X1,the_carrier(sK5))
| apply_netmap(X0,sK5,sK13(sK6,sK5,sK4,X1)) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK6,sK5,sK4,X1))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0) )
| ~ spl27_159 ),
inference(avatar_component_clause,[],[f1200]) ).
fof(f1637,plain,
( ! [X2,X3,X0,X1,X4] :
( element(apply_netmap(X4,X1,sK14(X0,X1,X2,sK15(X3,X1,X4))),X3)
| ~ sP2(X3,X1,X4)
| sP2(X0,X1,X2)
| ~ element(sK15(X3,X1,X4),the_carrier(X1))
| ~ element(sK14(X0,X1,X2,sK15(X3,X1,X4)),the_carrier(X1)) )
| ~ spl27_218 ),
inference(avatar_component_clause,[],[f1636]) ).
fof(f23419,plain,
( spl27_1193
| ~ spl27_159
| ~ spl27_216 ),
inference(avatar_split_clause,[],[f1650,f1625,f1200,f23417]) ).
fof(f23417,plain,
( spl27_1193
<=> ! [X4,X0,X3,X2,X1] :
( ~ sP2(the_carrier(sK5),X0,X1)
| ~ element(sK15(the_carrier(sK5),X0,X1),the_carrier(X0))
| ~ sP0(X2,X0,X3)
| ~ element(sK13(X2,X0,X3,sK15(the_carrier(sK5),X0,X1)),the_carrier(X0))
| apply_netmap(X4,sK5,sK13(sK6,sK5,sK4,apply_netmap(X1,X0,sK13(X2,X0,X3,sK15(the_carrier(sK5),X0,X1))))) = apply_on_structs(sK5,X4,the_mapping(X4,sK5),sK13(sK6,sK5,sK4,apply_netmap(X1,X0,sK13(X2,X0,X3,sK15(the_carrier(sK5),X0,X1)))))
| ~ net_str(sK5,X4)
| empty_carrier(X4)
| ~ one_sorted_str(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1193])]) ).
fof(f1625,plain,
( spl27_216
<=> ! [X4,X0,X3,X2,X1] :
( ~ element(sK13(X0,X1,X2,sK15(X3,X1,X4)),the_carrier(X1))
| ~ sP2(X3,X1,X4)
| ~ element(sK15(X3,X1,X4),the_carrier(X1))
| ~ sP0(X0,X1,X2)
| element(apply_netmap(X4,X1,sK13(X0,X1,X2,sK15(X3,X1,X4))),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_216])]) ).
fof(f1650,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sP2(the_carrier(sK5),X0,X1)
| ~ element(sK15(the_carrier(sK5),X0,X1),the_carrier(X0))
| ~ sP0(X2,X0,X3)
| ~ element(sK13(X2,X0,X3,sK15(the_carrier(sK5),X0,X1)),the_carrier(X0))
| apply_netmap(X4,sK5,sK13(sK6,sK5,sK4,apply_netmap(X1,X0,sK13(X2,X0,X3,sK15(the_carrier(sK5),X0,X1))))) = apply_on_structs(sK5,X4,the_mapping(X4,sK5),sK13(sK6,sK5,sK4,apply_netmap(X1,X0,sK13(X2,X0,X3,sK15(the_carrier(sK5),X0,X1)))))
| ~ net_str(sK5,X4)
| empty_carrier(X4)
| ~ one_sorted_str(X4) )
| ~ spl27_159
| ~ spl27_216 ),
inference(resolution,[],[f1626,f1201]) ).
fof(f1626,plain,
( ! [X2,X3,X0,X1,X4] :
( element(apply_netmap(X4,X1,sK13(X0,X1,X2,sK15(X3,X1,X4))),X3)
| ~ sP2(X3,X1,X4)
| ~ element(sK15(X3,X1,X4),the_carrier(X1))
| ~ sP0(X0,X1,X2)
| ~ element(sK13(X0,X1,X2,sK15(X3,X1,X4)),the_carrier(X1)) )
| ~ spl27_216 ),
inference(avatar_component_clause,[],[f1625]) ).
fof(f23027,plain,
( spl27_3
| ~ spl27_59
| spl27_1192
| ~ spl27_83
| ~ spl27_159 ),
inference(avatar_split_clause,[],[f1205,f1200,f664,f23025,f524,f244]) ).
fof(f244,plain,
( spl27_3
<=> empty_carrier(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_3])]) ).
fof(f524,plain,
( spl27_59
<=> one_sorted_str(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_59])]) ).
fof(f23025,plain,
( spl27_1192
<=> ! [X0,X3,X2,X1] :
( apply_netmap(X0,sK5,sK13(sK6,sK5,sK4,apply_on_structs(X1,sK5,X2,X3))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK6,sK5,sK4,apply_on_structs(X1,sK5,X2,X3)))
| empty_carrier(X1)
| ~ one_sorted_str(X1)
| ~ function(X2)
| ~ quasi_total(X2,the_carrier(X1),the_carrier(sK5))
| ~ relation_of2(X2,the_carrier(X1),the_carrier(sK5))
| ~ element(X3,the_carrier(X1))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ net_str(sK5,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1192])]) ).
fof(f664,plain,
( spl27_83
<=> ! [X0,X3,X2,X1] :
( element(apply_on_structs(X0,X1,X2,X3),the_carrier(X1))
| ~ element(X3,the_carrier(X0))
| ~ relation_of2(X2,the_carrier(X0),the_carrier(X1))
| ~ quasi_total(X2,the_carrier(X0),the_carrier(X1))
| ~ function(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_83])]) ).
fof(f1205,plain,
( ! [X2,X3,X0,X1] :
( apply_netmap(X0,sK5,sK13(sK6,sK5,sK4,apply_on_structs(X1,sK5,X2,X3))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK6,sK5,sK4,apply_on_structs(X1,sK5,X2,X3)))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ element(X3,the_carrier(X1))
| ~ relation_of2(X2,the_carrier(X1),the_carrier(sK5))
| ~ quasi_total(X2,the_carrier(X1),the_carrier(sK5))
| ~ function(X2)
| ~ one_sorted_str(sK5)
| empty_carrier(sK5)
| ~ one_sorted_str(X1)
| empty_carrier(X1) )
| ~ spl27_83
| ~ spl27_159 ),
inference(resolution,[],[f1201,f665]) ).
fof(f665,plain,
( ! [X2,X3,X0,X1] :
( element(apply_on_structs(X0,X1,X2,X3),the_carrier(X1))
| ~ element(X3,the_carrier(X0))
| ~ relation_of2(X2,the_carrier(X0),the_carrier(X1))
| ~ quasi_total(X2,the_carrier(X0),the_carrier(X1))
| ~ function(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) )
| ~ spl27_83 ),
inference(avatar_component_clause,[],[f664]) ).
fof(f23004,plain,
( spl27_1191
| spl27_290
| ~ spl27_159
| ~ spl27_190 ),
inference(avatar_split_clause,[],[f1457,f1417,f1200,f2337,f23002]) ).
fof(f23002,plain,
( spl27_1191
<=> ! [X0,X3,X2,X1] :
( ~ element(X0,the_carrier(X1))
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| ~ net_str(sK5,X3)
| apply_netmap(X3,sK5,sK13(sK6,sK5,sK4,apply_netmap(X2,X1,sK13(sK10(the_carrier(sK5)),X1,X2,X0)))) = apply_on_structs(sK5,X3,the_mapping(X3,sK5),sK13(sK6,sK5,sK4,apply_netmap(X2,X1,sK13(sK10(the_carrier(sK5)),X1,X2,X0))))
| ~ sP0(sK10(the_carrier(sK5)),X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1191])]) ).
fof(f2337,plain,
( spl27_290
<=> empty(the_carrier(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_290])]) ).
fof(f1417,plain,
( spl27_190
<=> ! [X0,X3,X2,X1] :
( element(apply_netmap(X0,X1,sK13(sK10(X2),X1,X0,X3)),X2)
| empty(X2)
| ~ element(X3,the_carrier(X1))
| ~ sP0(sK10(X2),X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_190])]) ).
fof(f1457,plain,
( ! [X2,X3,X0,X1] :
( empty(the_carrier(sK5))
| ~ element(X0,the_carrier(X1))
| ~ sP0(sK10(the_carrier(sK5)),X1,X2)
| apply_netmap(X3,sK5,sK13(sK6,sK5,sK4,apply_netmap(X2,X1,sK13(sK10(the_carrier(sK5)),X1,X2,X0)))) = apply_on_structs(sK5,X3,the_mapping(X3,sK5),sK13(sK6,sK5,sK4,apply_netmap(X2,X1,sK13(sK10(the_carrier(sK5)),X1,X2,X0))))
| ~ net_str(sK5,X3)
| empty_carrier(X3)
| ~ one_sorted_str(X3) )
| ~ spl27_159
| ~ spl27_190 ),
inference(resolution,[],[f1418,f1201]) ).
fof(f1418,plain,
( ! [X2,X3,X0,X1] :
( element(apply_netmap(X0,X1,sK13(sK10(X2),X1,X0,X3)),X2)
| empty(X2)
| ~ element(X3,the_carrier(X1))
| ~ sP0(sK10(X2),X1,X0) )
| ~ spl27_190 ),
inference(avatar_component_clause,[],[f1417]) ).
fof(f22992,plain,
( spl27_1190
| spl27_290
| ~ spl27_159
| ~ spl27_189 ),
inference(avatar_split_clause,[],[f1448,f1413,f1200,f2337,f22990]) ).
fof(f22990,plain,
( spl27_1190
<=> ! [X0,X3,X2,X1] :
( ~ element(X0,the_carrier(X1))
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| ~ net_str(sK5,X3)
| apply_netmap(X3,sK5,sK13(sK6,sK5,sK4,apply_netmap(X2,X1,sK13(sK9(the_carrier(sK5)),X1,X2,X0)))) = apply_on_structs(sK5,X3,the_mapping(X3,sK5),sK13(sK6,sK5,sK4,apply_netmap(X2,X1,sK13(sK9(the_carrier(sK5)),X1,X2,X0))))
| ~ sP0(sK9(the_carrier(sK5)),X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1190])]) ).
fof(f1413,plain,
( spl27_189
<=> ! [X0,X3,X2,X1] :
( element(apply_netmap(X0,X1,sK13(sK9(X2),X1,X0,X3)),X2)
| empty(X2)
| ~ element(X3,the_carrier(X1))
| ~ sP0(sK9(X2),X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_189])]) ).
fof(f1448,plain,
( ! [X2,X3,X0,X1] :
( empty(the_carrier(sK5))
| ~ element(X0,the_carrier(X1))
| ~ sP0(sK9(the_carrier(sK5)),X1,X2)
| apply_netmap(X3,sK5,sK13(sK6,sK5,sK4,apply_netmap(X2,X1,sK13(sK9(the_carrier(sK5)),X1,X2,X0)))) = apply_on_structs(sK5,X3,the_mapping(X3,sK5),sK13(sK6,sK5,sK4,apply_netmap(X2,X1,sK13(sK9(the_carrier(sK5)),X1,X2,X0))))
| ~ net_str(sK5,X3)
| empty_carrier(X3)
| ~ one_sorted_str(X3) )
| ~ spl27_159
| ~ spl27_189 ),
inference(resolution,[],[f1414,f1201]) ).
fof(f1414,plain,
( ! [X2,X3,X0,X1] :
( element(apply_netmap(X0,X1,sK13(sK9(X2),X1,X0,X3)),X2)
| empty(X2)
| ~ element(X3,the_carrier(X1))
| ~ sP0(sK9(X2),X1,X0) )
| ~ spl27_189 ),
inference(avatar_component_clause,[],[f1413]) ).
fof(f22980,plain,
( spl27_1189
| spl27_290
| ~ spl27_159
| ~ spl27_188 ),
inference(avatar_split_clause,[],[f1439,f1409,f1200,f2337,f22978]) ).
fof(f22978,plain,
( spl27_1189
<=> ! [X0,X3,X2,X1] :
( ~ element(X0,the_carrier(X1))
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| ~ net_str(sK5,X3)
| apply_netmap(X3,sK5,sK13(sK6,sK5,sK4,apply_netmap(X2,X1,sK13(sK8(the_carrier(sK5)),X1,X2,X0)))) = apply_on_structs(sK5,X3,the_mapping(X3,sK5),sK13(sK6,sK5,sK4,apply_netmap(X2,X1,sK13(sK8(the_carrier(sK5)),X1,X2,X0))))
| ~ sP0(sK8(the_carrier(sK5)),X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1189])]) ).
fof(f1409,plain,
( spl27_188
<=> ! [X0,X3,X2,X1] :
( element(apply_netmap(X0,X1,sK13(sK8(X2),X1,X0,X3)),X2)
| empty(X2)
| ~ element(X3,the_carrier(X1))
| ~ sP0(sK8(X2),X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_188])]) ).
fof(f1439,plain,
( ! [X2,X3,X0,X1] :
( empty(the_carrier(sK5))
| ~ element(X0,the_carrier(X1))
| ~ sP0(sK8(the_carrier(sK5)),X1,X2)
| apply_netmap(X3,sK5,sK13(sK6,sK5,sK4,apply_netmap(X2,X1,sK13(sK8(the_carrier(sK5)),X1,X2,X0)))) = apply_on_structs(sK5,X3,the_mapping(X3,sK5),sK13(sK6,sK5,sK4,apply_netmap(X2,X1,sK13(sK8(the_carrier(sK5)),X1,X2,X0))))
| ~ net_str(sK5,X3)
| empty_carrier(X3)
| ~ one_sorted_str(X3) )
| ~ spl27_159
| ~ spl27_188 ),
inference(resolution,[],[f1410,f1201]) ).
fof(f1410,plain,
( ! [X2,X3,X0,X1] :
( element(apply_netmap(X0,X1,sK13(sK8(X2),X1,X0,X3)),X2)
| empty(X2)
| ~ element(X3,the_carrier(X1))
| ~ sP0(sK8(X2),X1,X0) )
| ~ spl27_188 ),
inference(avatar_component_clause,[],[f1409]) ).
fof(f22976,plain,
( spl27_1188
| ~ spl27_159
| ~ spl27_187 ),
inference(avatar_split_clause,[],[f1431,f1405,f1200,f22974]) ).
fof(f22974,plain,
( spl27_1188
<=> ! [X0,X3,X2,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(sK17(powerset(the_carrier(sK5))),X1,X2)
| apply_netmap(X3,sK5,sK13(sK6,sK5,sK4,apply_netmap(X2,X1,sK13(sK17(powerset(the_carrier(sK5))),X1,X2,X0)))) = apply_on_structs(sK5,X3,the_mapping(X3,sK5),sK13(sK6,sK5,sK4,apply_netmap(X2,X1,sK13(sK17(powerset(the_carrier(sK5))),X1,X2,X0))))
| ~ net_str(sK5,X3)
| empty_carrier(X3)
| ~ one_sorted_str(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1188])]) ).
fof(f1405,plain,
( spl27_187
<=> ! [X0,X3,X2,X1] :
( element(apply_netmap(X0,X1,sK13(sK17(powerset(X2)),X1,X0,X3)),X2)
| ~ element(X3,the_carrier(X1))
| ~ sP0(sK17(powerset(X2)),X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_187])]) ).
fof(f1431,plain,
( ! [X2,X3,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(sK17(powerset(the_carrier(sK5))),X1,X2)
| apply_netmap(X3,sK5,sK13(sK6,sK5,sK4,apply_netmap(X2,X1,sK13(sK17(powerset(the_carrier(sK5))),X1,X2,X0)))) = apply_on_structs(sK5,X3,the_mapping(X3,sK5),sK13(sK6,sK5,sK4,apply_netmap(X2,X1,sK13(sK17(powerset(the_carrier(sK5))),X1,X2,X0))))
| ~ net_str(sK5,X3)
| empty_carrier(X3)
| ~ one_sorted_str(X3) )
| ~ spl27_159
| ~ spl27_187 ),
inference(resolution,[],[f1406,f1201]) ).
fof(f1406,plain,
( ! [X2,X3,X0,X1] :
( element(apply_netmap(X0,X1,sK13(sK17(powerset(X2)),X1,X0,X3)),X2)
| ~ element(X3,the_carrier(X1))
| ~ sP0(sK17(powerset(X2)),X1,X0) )
| ~ spl27_187 ),
inference(avatar_component_clause,[],[f1405]) ).
fof(f22964,plain,
( spl27_1187
| spl27_3
| ~ spl27_59
| ~ spl27_159
| ~ spl27_195 ),
inference(avatar_split_clause,[],[f1487,f1481,f1200,f524,f244,f22962]) ).
fof(f22962,plain,
( spl27_1187
<=> ! [X0,X3,X2,X1] :
( ~ element(X0,the_carrier(X1))
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| ~ net_str(sK5,X3)
| apply_netmap(X3,sK5,sK13(sK6,sK5,sK4,apply_netmap(X2,X1,sK13(sK16(sK5),X1,X2,X0)))) = apply_on_structs(sK5,X3,the_mapping(X3,sK5),sK13(sK6,sK5,sK4,apply_netmap(X2,X1,sK13(sK16(sK5),X1,X2,X0))))
| ~ sP0(sK16(sK5),X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1187])]) ).
fof(f1481,plain,
( spl27_195
<=> ! [X0,X3,X2,X1] :
( element(apply_netmap(X0,X1,sK13(sK16(X2),X1,X0,X3)),the_carrier(X2))
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| ~ element(X3,the_carrier(X1))
| ~ sP0(sK16(X2),X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_195])]) ).
fof(f1487,plain,
( ! [X2,X3,X0,X1] :
( ~ one_sorted_str(sK5)
| empty_carrier(sK5)
| ~ element(X0,the_carrier(X1))
| ~ sP0(sK16(sK5),X1,X2)
| apply_netmap(X3,sK5,sK13(sK6,sK5,sK4,apply_netmap(X2,X1,sK13(sK16(sK5),X1,X2,X0)))) = apply_on_structs(sK5,X3,the_mapping(X3,sK5),sK13(sK6,sK5,sK4,apply_netmap(X2,X1,sK13(sK16(sK5),X1,X2,X0))))
| ~ net_str(sK5,X3)
| empty_carrier(X3)
| ~ one_sorted_str(X3) )
| ~ spl27_159
| ~ spl27_195 ),
inference(resolution,[],[f1482,f1201]) ).
fof(f1482,plain,
( ! [X2,X3,X0,X1] :
( element(apply_netmap(X0,X1,sK13(sK16(X2),X1,X0,X3)),the_carrier(X2))
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| ~ element(X3,the_carrier(X1))
| ~ sP0(sK16(X2),X1,X0) )
| ~ spl27_195 ),
inference(avatar_component_clause,[],[f1481]) ).
fof(f22948,plain,
( spl27_1186
| ~ spl27_130
| ~ spl27_159 ),
inference(avatar_split_clause,[],[f1204,f1200,f968,f22946]) ).
fof(f22946,plain,
( spl27_1186
<=> ! [X0,X3,X2,X1] :
( apply_netmap(X0,sK5,sK13(sK6,sK5,sK4,apply_netmap(X1,X2,sK13(the_carrier(sK5),X2,X1,X3)))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK6,sK5,sK4,apply_netmap(X1,X2,sK13(the_carrier(sK5),X2,X1,X3))))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ sP0(the_carrier(sK5),X2,X1)
| ~ element(X3,the_carrier(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1186])]) ).
fof(f968,plain,
( spl27_130
<=> ! [X0,X3,X2,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(X2,X1,X3)
| element(apply_netmap(X3,X1,sK13(X2,X1,X3,X0)),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_130])]) ).
fof(f1204,plain,
( ! [X2,X3,X0,X1] :
( apply_netmap(X0,sK5,sK13(sK6,sK5,sK4,apply_netmap(X1,X2,sK13(the_carrier(sK5),X2,X1,X3)))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK6,sK5,sK4,apply_netmap(X1,X2,sK13(the_carrier(sK5),X2,X1,X3))))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ sP0(the_carrier(sK5),X2,X1)
| ~ element(X3,the_carrier(X2)) )
| ~ spl27_130
| ~ spl27_159 ),
inference(resolution,[],[f1201,f969]) ).
fof(f969,plain,
( ! [X2,X3,X0,X1] :
( element(apply_netmap(X3,X1,sK13(X2,X1,X3,X0)),X2)
| ~ sP0(X2,X1,X3)
| ~ element(X0,the_carrier(X1)) )
| ~ spl27_130 ),
inference(avatar_component_clause,[],[f968]) ).
fof(f22790,plain,
( spl27_3
| spl27_1185
| ~ spl27_70
| ~ spl27_246 ),
inference(avatar_split_clause,[],[f21731,f1913,f593,f22788,f244]) ).
fof(f22788,plain,
( spl27_1185
<=> ! [X2,X0,X1] :
( empty_carrier(X0)
| ~ net_str(X0,X1)
| ~ element(X2,the_carrier(sK5))
| ~ one_sorted_str(X0)
| ~ net_str(sK5,X0)
| apply_netmap(X1,X0,apply_netmap(X0,sK5,sK13(sK6,sK5,sK4,X2))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,sK5,sK13(sK6,sK5,sK4,X2)))
| ~ one_sorted_str(X1)
| empty_carrier(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1185])]) ).
fof(f1913,plain,
( spl27_246
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK13(X3,X2,X4,X5))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK13(X3,X2,X4,X5)))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ element(X5,the_carrier(X2))
| ~ sP0(X3,X2,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_246])]) ).
fof(f21731,plain,
( ! [X2,X0,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,sK5,sK13(sK6,sK5,sK4,X2))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,sK5,sK13(sK6,sK5,sK4,X2)))
| ~ net_str(sK5,X0)
| empty_carrier(sK5)
| ~ one_sorted_str(X0)
| ~ element(X2,the_carrier(sK5))
| ~ net_str(X0,X1) )
| ~ spl27_70
| ~ spl27_246 ),
inference(resolution,[],[f595,f1914]) ).
fof(f1914,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sP0(X3,X2,X4)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK13(X3,X2,X4,X5))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK13(X3,X2,X4,X5)))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ element(X5,the_carrier(X2))
| ~ net_str(X0,X1) )
| ~ spl27_246 ),
inference(avatar_component_clause,[],[f1913]) ).
fof(f22698,plain,
( spl27_3
| ~ spl27_59
| spl27_1184
| ~ spl27_79
| ~ spl27_159 ),
inference(avatar_split_clause,[],[f1203,f1200,f636,f22696,f524,f244]) ).
fof(f22696,plain,
( spl27_1184
<=> ! [X2,X0,X1] :
( apply_netmap(X0,sK5,sK13(sK6,sK5,sK4,apply_netmap(sK5,X1,X2))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK6,sK5,sK4,apply_netmap(sK5,X1,X2)))
| empty_carrier(X1)
| ~ net_str(X1,sK5)
| ~ element(X2,the_carrier(X1))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ net_str(sK5,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1184])]) ).
fof(f636,plain,
( spl27_79
<=> ! [X2,X0,X1] :
( element(apply_netmap(X0,X1,X2),the_carrier(X0))
| ~ element(X2,the_carrier(X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_79])]) ).
fof(f1203,plain,
( ! [X2,X0,X1] :
( apply_netmap(X0,sK5,sK13(sK6,sK5,sK4,apply_netmap(sK5,X1,X2))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK6,sK5,sK4,apply_netmap(sK5,X1,X2)))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ element(X2,the_carrier(X1))
| ~ net_str(X1,sK5)
| empty_carrier(X1)
| ~ one_sorted_str(sK5)
| empty_carrier(sK5) )
| ~ spl27_79
| ~ spl27_159 ),
inference(resolution,[],[f1201,f637]) ).
fof(f637,plain,
( ! [X2,X0,X1] :
( element(apply_netmap(X0,X1,X2),the_carrier(X0))
| ~ element(X2,the_carrier(X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) )
| ~ spl27_79 ),
inference(avatar_component_clause,[],[f636]) ).
fof(f22617,plain,
( spl27_1183
| spl27_3
| ~ spl27_70
| ~ spl27_243 ),
inference(avatar_split_clause,[],[f21730,f1859,f593,f244,f22615]) ).
fof(f22615,plain,
( spl27_1183
<=> ! [X0,X3,X2,X1] :
( ~ one_sorted_str(X0)
| ~ net_str(sK5,X0)
| ~ element(X3,the_carrier(sK5))
| apply_netmap(X0,sK5,sK14(X1,sK5,X2,sK13(sK6,sK5,sK4,X3))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK14(X1,sK5,X2,sK13(sK6,sK5,sK4,X3)))
| sP2(X1,sK5,X2)
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1183])]) ).
fof(f1859,plain,
( spl27_243
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK13(X4,X0,X5,X6))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK13(X4,X0,X5,X6)))
| ~ element(X6,the_carrier(X0))
| ~ sP0(X4,X0,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_243])]) ).
fof(f21730,plain,
( ! [X2,X3,X0,X1] :
( empty_carrier(sK5)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,sK5,X2)
| apply_netmap(X0,sK5,sK14(X1,sK5,X2,sK13(sK6,sK5,sK4,X3))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK14(X1,sK5,X2,sK13(sK6,sK5,sK4,X3)))
| ~ element(X3,the_carrier(sK5))
| ~ net_str(sK5,X0) )
| ~ spl27_70
| ~ spl27_243 ),
inference(resolution,[],[f595,f1860]) ).
fof(f1860,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP0(X4,X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK13(X4,X0,X5,X6))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK13(X4,X0,X5,X6)))
| ~ element(X6,the_carrier(X0))
| ~ net_str(X0,X1) )
| ~ spl27_243 ),
inference(avatar_component_clause,[],[f1859]) ).
fof(f22604,plain,
( spl27_1169
| ~ spl27_9
| ~ spl27_87
| ~ spl27_1171 ),
inference(avatar_split_clause,[],[f21873,f21557,f688,f273,f21337]) ).
fof(f21337,plain,
( spl27_1169
<=> sK7 = sK24 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1169])]) ).
fof(f273,plain,
( spl27_9
<=> empty(empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_9])]) ).
fof(f688,plain,
( spl27_87
<=> empty_set = sK24 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_87])]) ).
fof(f21557,plain,
( spl27_1171
<=> ! [X0] :
( sK7 = X0
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1171])]) ).
fof(f21873,plain,
( sK7 = sK24
| ~ spl27_9
| ~ spl27_87
| ~ spl27_1171 ),
inference(forward_demodulation,[],[f21863,f690]) ).
fof(f690,plain,
( empty_set = sK24
| ~ spl27_87 ),
inference(avatar_component_clause,[],[f688]) ).
fof(f21863,plain,
( empty_set = sK7
| ~ spl27_9
| ~ spl27_1171 ),
inference(resolution,[],[f21558,f275]) ).
fof(f275,plain,
( empty(empty_set)
| ~ spl27_9 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f21558,plain,
( ! [X0] :
( ~ empty(X0)
| sK7 = X0 )
| ~ spl27_1171 ),
inference(avatar_component_clause,[],[f21557]) ).
fof(f22502,plain,
( spl27_1182
| ~ spl27_9
| ~ spl27_87
| ~ spl27_297
| ~ spl27_1171 ),
inference(avatar_split_clause,[],[f22175,f21557,f2443,f688,f273,f22500]) ).
fof(f22500,plain,
( spl27_1182
<=> ! [X0,X3,X2,X1] :
( apply_netmap(X0,sK5,sK13(sK24,sK5,sK4,sK13(X1,sK5,X2,X3))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK24,sK5,sK4,sK13(X1,sK5,X2,X3)))
| ~ sP0(X1,sK5,X2)
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ element(X3,the_carrier(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1182])]) ).
fof(f2443,plain,
( spl27_297
<=> ! [X0,X3,X2,X1] :
( apply_netmap(X0,sK5,sK13(sK7,sK5,sK4,sK13(X1,sK5,X2,X3))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK7,sK5,sK4,sK13(X1,sK5,X2,X3)))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ element(X3,the_carrier(sK5))
| ~ sP0(X1,sK5,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_297])]) ).
fof(f22175,plain,
( ! [X2,X3,X0,X1] :
( apply_netmap(X0,sK5,sK13(sK24,sK5,sK4,sK13(X1,sK5,X2,X3))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK24,sK5,sK4,sK13(X1,sK5,X2,X3)))
| ~ sP0(X1,sK5,X2)
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ element(X3,the_carrier(sK5)) )
| ~ spl27_9
| ~ spl27_87
| ~ spl27_297
| ~ spl27_1171 ),
inference(forward_demodulation,[],[f2444,f21873]) ).
fof(f2444,plain,
( ! [X2,X3,X0,X1] :
( ~ sP0(X1,sK5,X2)
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ element(X3,the_carrier(sK5))
| apply_netmap(X0,sK5,sK13(sK7,sK5,sK4,sK13(X1,sK5,X2,X3))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK7,sK5,sK4,sK13(X1,sK5,X2,X3))) )
| ~ spl27_297 ),
inference(avatar_component_clause,[],[f2443]) ).
fof(f22498,plain,
( spl27_1181
| ~ spl27_75
| ~ spl27_159 ),
inference(avatar_split_clause,[],[f1208,f1200,f615,f22496]) ).
fof(f22496,plain,
( spl27_1181
<=> ! [X0,X3,X2,X1] :
( apply_netmap(X0,sK5,sK13(sK6,sK5,sK4,sK14(X1,sK5,X2,X3))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK6,sK5,sK4,sK14(X1,sK5,X2,X3)))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| sP2(X1,sK5,X2)
| ~ element(X3,the_carrier(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1181])]) ).
fof(f615,plain,
( spl27_75
<=> ! [X0,X3,X2,X1] :
( sP2(X0,X1,X2)
| element(sK14(X0,X1,X2,X3),the_carrier(X1))
| ~ element(X3,the_carrier(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_75])]) ).
fof(f1208,plain,
( ! [X2,X3,X0,X1] :
( apply_netmap(X0,sK5,sK13(sK6,sK5,sK4,sK14(X1,sK5,X2,X3))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK6,sK5,sK4,sK14(X1,sK5,X2,X3)))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| sP2(X1,sK5,X2)
| ~ element(X3,the_carrier(sK5)) )
| ~ spl27_75
| ~ spl27_159 ),
inference(resolution,[],[f1201,f616]) ).
fof(f616,plain,
( ! [X2,X3,X0,X1] :
( element(sK14(X0,X1,X2,X3),the_carrier(X1))
| sP2(X0,X1,X2)
| ~ element(X3,the_carrier(X1)) )
| ~ spl27_75 ),
inference(avatar_component_clause,[],[f615]) ).
fof(f22494,plain,
( spl27_1180
| ~ spl27_73
| ~ spl27_159 ),
inference(avatar_split_clause,[],[f1207,f1200,f607,f22492]) ).
fof(f22492,plain,
( spl27_1180
<=> ! [X0,X3,X2,X1] :
( apply_netmap(X0,sK5,sK13(sK6,sK5,sK4,sK13(X1,sK5,X2,X3))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK6,sK5,sK4,sK13(X1,sK5,X2,X3)))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ element(X3,the_carrier(sK5))
| ~ sP0(X1,sK5,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1180])]) ).
fof(f607,plain,
( spl27_73
<=> ! [X0,X5,X2,X1] :
( element(sK13(X0,X1,X2,X5),the_carrier(X1))
| ~ element(X5,the_carrier(X1))
| ~ sP0(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_73])]) ).
fof(f1207,plain,
( ! [X2,X3,X0,X1] :
( apply_netmap(X0,sK5,sK13(sK6,sK5,sK4,sK13(X1,sK5,X2,X3))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK6,sK5,sK4,sK13(X1,sK5,X2,X3)))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ element(X3,the_carrier(sK5))
| ~ sP0(X1,sK5,X2) )
| ~ spl27_73
| ~ spl27_159 ),
inference(resolution,[],[f1201,f608]) ).
fof(f608,plain,
( ! [X2,X0,X1,X5] :
( element(sK13(X0,X1,X2,X5),the_carrier(X1))
| ~ element(X5,the_carrier(X1))
| ~ sP0(X0,X1,X2) )
| ~ spl27_73 ),
inference(avatar_component_clause,[],[f607]) ).
fof(f22479,plain,
( spl27_1179
| spl27_686
| spl27_290
| ~ spl27_159
| ~ spl27_166 ),
inference(avatar_split_clause,[],[f1322,f1254,f1200,f2337,f6939,f22477]) ).
fof(f22477,plain,
( spl27_1179
<=> ! [X0] :
( apply_netmap(X0,sK5,sK13(sK6,sK5,sK4,sK17(sK10(the_carrier(sK5))))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK6,sK5,sK4,sK17(sK10(the_carrier(sK5)))))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ net_str(sK5,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1179])]) ).
fof(f6939,plain,
( spl27_686
<=> empty(sK10(the_carrier(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_686])]) ).
fof(f1254,plain,
( spl27_166
<=> ! [X0] :
( element(sK17(sK10(X0)),X0)
| empty(X0)
| empty(sK10(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_166])]) ).
fof(f1322,plain,
( ! [X0] :
( empty(the_carrier(sK5))
| empty(sK10(the_carrier(sK5)))
| apply_netmap(X0,sK5,sK13(sK6,sK5,sK4,sK17(sK10(the_carrier(sK5))))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK6,sK5,sK4,sK17(sK10(the_carrier(sK5)))))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0) )
| ~ spl27_159
| ~ spl27_166 ),
inference(resolution,[],[f1255,f1201]) ).
fof(f1255,plain,
( ! [X0] :
( element(sK17(sK10(X0)),X0)
| empty(X0)
| empty(sK10(X0)) )
| ~ spl27_166 ),
inference(avatar_component_clause,[],[f1254]) ).
fof(f22474,plain,
( spl27_1178
| spl27_679
| spl27_290
| ~ spl27_159
| ~ spl27_165 ),
inference(avatar_split_clause,[],[f1310,f1250,f1200,f2337,f6880,f22472]) ).
fof(f22472,plain,
( spl27_1178
<=> ! [X0] :
( apply_netmap(X0,sK5,sK13(sK6,sK5,sK4,sK17(sK9(the_carrier(sK5))))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK6,sK5,sK4,sK17(sK9(the_carrier(sK5)))))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ net_str(sK5,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1178])]) ).
fof(f6880,plain,
( spl27_679
<=> empty(sK9(the_carrier(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_679])]) ).
fof(f1250,plain,
( spl27_165
<=> ! [X0] :
( element(sK17(sK9(X0)),X0)
| empty(X0)
| empty(sK9(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_165])]) ).
fof(f1310,plain,
( ! [X0] :
( empty(the_carrier(sK5))
| empty(sK9(the_carrier(sK5)))
| apply_netmap(X0,sK5,sK13(sK6,sK5,sK4,sK17(sK9(the_carrier(sK5))))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK6,sK5,sK4,sK17(sK9(the_carrier(sK5)))))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0) )
| ~ spl27_159
| ~ spl27_165 ),
inference(resolution,[],[f1251,f1201]) ).
fof(f1251,plain,
( ! [X0] :
( element(sK17(sK9(X0)),X0)
| empty(X0)
| empty(sK9(X0)) )
| ~ spl27_165 ),
inference(avatar_component_clause,[],[f1250]) ).
fof(f22469,plain,
( spl27_1177
| spl27_289
| spl27_290
| ~ spl27_159
| ~ spl27_164 ),
inference(avatar_split_clause,[],[f1301,f1246,f1200,f2337,f2333,f22467]) ).
fof(f22467,plain,
( spl27_1177
<=> ! [X0] :
( apply_netmap(X0,sK5,sK13(sK6,sK5,sK4,sK17(sK8(the_carrier(sK5))))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK6,sK5,sK4,sK17(sK8(the_carrier(sK5)))))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ net_str(sK5,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1177])]) ).
fof(f2333,plain,
( spl27_289
<=> empty(sK8(the_carrier(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_289])]) ).
fof(f1246,plain,
( spl27_164
<=> ! [X0] :
( element(sK17(sK8(X0)),X0)
| empty(X0)
| empty(sK8(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_164])]) ).
fof(f1301,plain,
( ! [X0] :
( empty(the_carrier(sK5))
| empty(sK8(the_carrier(sK5)))
| apply_netmap(X0,sK5,sK13(sK6,sK5,sK4,sK17(sK8(the_carrier(sK5))))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK6,sK5,sK4,sK17(sK8(the_carrier(sK5)))))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0) )
| ~ spl27_159
| ~ spl27_164 ),
inference(resolution,[],[f1247,f1201]) ).
fof(f1247,plain,
( ! [X0] :
( element(sK17(sK8(X0)),X0)
| empty(X0)
| empty(sK8(X0)) )
| ~ spl27_164 ),
inference(avatar_component_clause,[],[f1246]) ).
fof(f22464,plain,
( spl27_1176
| spl27_292
| ~ spl27_159
| ~ spl27_163 ),
inference(avatar_split_clause,[],[f1293,f1242,f1200,f2354,f22462]) ).
fof(f22462,plain,
( spl27_1176
<=> ! [X0] :
( apply_netmap(X0,sK5,sK13(sK6,sK5,sK4,sK17(sK17(powerset(the_carrier(sK5)))))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK6,sK5,sK4,sK17(sK17(powerset(the_carrier(sK5))))))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ net_str(sK5,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1176])]) ).
fof(f2354,plain,
( spl27_292
<=> empty(sK17(powerset(the_carrier(sK5)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_292])]) ).
fof(f1242,plain,
( spl27_163
<=> ! [X0] :
( element(sK17(sK17(powerset(X0))),X0)
| empty(sK17(powerset(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_163])]) ).
fof(f1293,plain,
( ! [X0] :
( empty(sK17(powerset(the_carrier(sK5))))
| apply_netmap(X0,sK5,sK13(sK6,sK5,sK4,sK17(sK17(powerset(the_carrier(sK5)))))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK6,sK5,sK4,sK17(sK17(powerset(the_carrier(sK5))))))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0) )
| ~ spl27_159
| ~ spl27_163 ),
inference(resolution,[],[f1243,f1201]) ).
fof(f1243,plain,
( ! [X0] :
( element(sK17(sK17(powerset(X0))),X0)
| empty(sK17(powerset(X0))) )
| ~ spl27_163 ),
inference(avatar_component_clause,[],[f1242]) ).
fof(f22369,plain,
( spl27_142
| ~ spl27_26
| ~ spl27_411 ),
inference(avatar_split_clause,[],[f21882,f4117,f355,f1037]) ).
fof(f1037,plain,
( spl27_142
<=> empty(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_142])]) ).
fof(f355,plain,
( spl27_26
<=> ! [X0] :
( ~ empty(sK9(X0))
| empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_26])]) ).
fof(f4117,plain,
( spl27_411
<=> empty(sK9(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_411])]) ).
fof(f21882,plain,
( empty(sK6)
| ~ spl27_26
| ~ spl27_411 ),
inference(resolution,[],[f4119,f356]) ).
fof(f356,plain,
( ! [X0] :
( ~ empty(sK9(X0))
| empty(X0) )
| ~ spl27_26 ),
inference(avatar_component_clause,[],[f355]) ).
fof(f4119,plain,
( empty(sK9(sK6))
| ~ spl27_411 ),
inference(avatar_component_clause,[],[f4117]) ).
fof(f22367,plain,
( ~ spl27_69
| spl27_1165
| ~ spl27_61
| ~ spl27_198 ),
inference(avatar_split_clause,[],[f22142,f1515,f548,f21265,f589]) ).
fof(f21265,plain,
( spl27_1165
<=> sP0(sK24,sK5,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1165])]) ).
fof(f548,plain,
( spl27_61
<=> ! [X2,X0,X1] :
( sP0(X2,X1,X0)
| ~ is_often_in(X0,X1,X2)
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_61])]) ).
fof(f1515,plain,
( spl27_198
<=> is_often_in(sK4,sK5,sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_198])]) ).
fof(f22142,plain,
( sP0(sK24,sK5,sK4)
| ~ sP1(sK4,sK5)
| ~ spl27_61
| ~ spl27_198 ),
inference(resolution,[],[f1516,f549]) ).
fof(f549,plain,
( ! [X2,X0,X1] :
( ~ is_often_in(X0,X1,X2)
| sP0(X2,X1,X0)
| ~ sP1(X0,X1) )
| ~ spl27_61 ),
inference(avatar_component_clause,[],[f548]) ).
fof(f1516,plain,
( is_often_in(sK4,sK5,sK24)
| ~ spl27_198 ),
inference(avatar_component_clause,[],[f1515]) ).
fof(f22174,plain,
( spl27_143
| ~ spl27_156
| ~ spl27_1165 ),
inference(avatar_split_clause,[],[f22145,f21265,f1185,f1041]) ).
fof(f1041,plain,
( spl27_143
<=> ! [X0] : ~ element(X0,the_carrier(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_143])]) ).
fof(f1185,plain,
( spl27_156
<=> ! [X2,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(sK24,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_156])]) ).
fof(f22145,plain,
( ! [X0] : ~ element(X0,the_carrier(sK5))
| ~ spl27_156
| ~ spl27_1165 ),
inference(resolution,[],[f21266,f1186]) ).
fof(f1186,plain,
( ! [X2,X0,X1] :
( ~ sP0(sK24,X1,X2)
| ~ element(X0,the_carrier(X1)) )
| ~ spl27_156 ),
inference(avatar_component_clause,[],[f1185]) ).
fof(f21266,plain,
( sP0(sK24,sK5,sK4)
| ~ spl27_1165 ),
inference(avatar_component_clause,[],[f21265]) ).
fof(f22156,plain,
( ~ spl27_13
| spl27_142
| ~ spl27_1168 ),
inference(avatar_split_clause,[],[f21682,f21315,f1037,f293]) ).
fof(f293,plain,
( spl27_13
<=> empty(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_13])]) ).
fof(f21315,plain,
( spl27_1168
<=> sK6 = sK24 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1168])]) ).
fof(f21682,plain,
( ~ empty(sK24)
| spl27_142
| ~ spl27_1168 ),
inference(forward_demodulation,[],[f1039,f21317]) ).
fof(f21317,plain,
( sK6 = sK24
| ~ spl27_1168 ),
inference(avatar_component_clause,[],[f21315]) ).
fof(f1039,plain,
( ~ empty(sK6)
| spl27_142 ),
inference(avatar_component_clause,[],[f1037]) ).
fof(f22143,plain,
( spl27_1165
| ~ spl27_70
| ~ spl27_1168 ),
inference(avatar_split_clause,[],[f21689,f21315,f593,f21265]) ).
fof(f21689,plain,
( sP0(sK24,sK5,sK4)
| ~ spl27_70
| ~ spl27_1168 ),
inference(forward_demodulation,[],[f595,f21317]) ).
fof(f22141,plain,
( spl27_198
| ~ spl27_7
| ~ spl27_1168 ),
inference(avatar_split_clause,[],[f21691,f21315,f263,f1515]) ).
fof(f263,plain,
( spl27_7
<=> is_often_in(sK4,sK5,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_7])]) ).
fof(f21691,plain,
( is_often_in(sK4,sK5,sK24)
| ~ spl27_7
| ~ spl27_1168 ),
inference(forward_demodulation,[],[f265,f21317]) ).
fof(f265,plain,
( is_often_in(sK4,sK5,sK6)
| ~ spl27_7 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f22099,plain,
( spl27_1168
| ~ spl27_9
| ~ spl27_87
| ~ spl27_1170 ),
inference(avatar_split_clause,[],[f21849,f21552,f688,f273,f21315]) ).
fof(f21552,plain,
( spl27_1170
<=> ! [X0] :
( sK6 = X0
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1170])]) ).
fof(f21849,plain,
( sK6 = sK24
| ~ spl27_9
| ~ spl27_87
| ~ spl27_1170 ),
inference(forward_demodulation,[],[f21839,f690]) ).
fof(f21839,plain,
( empty_set = sK6
| ~ spl27_9
| ~ spl27_1170 ),
inference(resolution,[],[f21553,f275]) ).
fof(f21553,plain,
( ! [X0] :
( ~ empty(X0)
| sK6 = X0 )
| ~ spl27_1170 ),
inference(avatar_component_clause,[],[f21552]) ).
fof(f22098,plain,
( spl27_1175
| ~ spl27_9
| ~ spl27_87
| ~ spl27_273
| ~ spl27_1170 ),
inference(avatar_split_clause,[],[f22089,f21552,f2192,f688,f273,f22096]) ).
fof(f22096,plain,
( spl27_1175
<=> ! [X2,X0,X1] :
( apply_netmap(X0,sK5,sK13(sK24,sK5,sK4,sK15(X1,sK5,X2))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK24,sK5,sK4,sK15(X1,sK5,X2)))
| ~ sP2(X1,sK5,X2)
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1175])]) ).
fof(f2192,plain,
( spl27_273
<=> ! [X2,X0,X1] :
( apply_netmap(X0,sK5,sK13(sK6,sK5,sK4,sK15(X1,sK5,X2))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK6,sK5,sK4,sK15(X1,sK5,X2)))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ sP2(X1,sK5,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_273])]) ).
fof(f22089,plain,
( ! [X2,X0,X1] :
( apply_netmap(X0,sK5,sK13(sK24,sK5,sK4,sK15(X1,sK5,X2))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK24,sK5,sK4,sK15(X1,sK5,X2)))
| ~ sP2(X1,sK5,X2)
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0) )
| ~ spl27_9
| ~ spl27_87
| ~ spl27_273
| ~ spl27_1170 ),
inference(forward_demodulation,[],[f2193,f21849]) ).
fof(f2193,plain,
( ! [X2,X0,X1] :
( ~ sP2(X1,sK5,X2)
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| apply_netmap(X0,sK5,sK13(sK6,sK5,sK4,sK15(X1,sK5,X2))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK6,sK5,sK4,sK15(X1,sK5,X2))) )
| ~ spl27_273 ),
inference(avatar_component_clause,[],[f2192]) ).
fof(f22094,plain,
( spl27_1174
| ~ spl27_9
| ~ spl27_87
| ~ spl27_272
| ~ spl27_1170 ),
inference(avatar_split_clause,[],[f22087,f21552,f2188,f688,f273,f22092]) ).
fof(f22092,plain,
( spl27_1174
<=> ! [X2,X0,X1] :
( apply_netmap(X0,sK5,sK13(sK24,sK5,sK4,sK12(X1,sK5,X2))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK24,sK5,sK4,sK12(X1,sK5,X2)))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| sP0(X1,sK5,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1174])]) ).
fof(f2188,plain,
( spl27_272
<=> ! [X2,X0,X1] :
( apply_netmap(X0,sK5,sK13(sK6,sK5,sK4,sK12(X1,sK5,X2))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK6,sK5,sK4,sK12(X1,sK5,X2)))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| sP0(X1,sK5,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_272])]) ).
fof(f22087,plain,
( ! [X2,X0,X1] :
( apply_netmap(X0,sK5,sK13(sK24,sK5,sK4,sK12(X1,sK5,X2))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK24,sK5,sK4,sK12(X1,sK5,X2)))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| sP0(X1,sK5,X2) )
| ~ spl27_9
| ~ spl27_87
| ~ spl27_272
| ~ spl27_1170 ),
inference(forward_demodulation,[],[f2189,f21849]) ).
fof(f2189,plain,
( ! [X2,X0,X1] :
( ~ net_str(sK5,X0)
| apply_netmap(X0,sK5,sK13(sK6,sK5,sK4,sK12(X1,sK5,X2))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK6,sK5,sK4,sK12(X1,sK5,X2)))
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| sP0(X1,sK5,X2) )
| ~ spl27_272 ),
inference(avatar_component_clause,[],[f2188]) ).
fof(f22088,plain,
( spl27_273
| ~ spl27_66
| ~ spl27_159 ),
inference(avatar_split_clause,[],[f1209,f1200,f568,f2192]) ).
fof(f568,plain,
( spl27_66
<=> ! [X2,X0,X1] :
( element(sK15(X0,X1,X2),the_carrier(X1))
| ~ sP2(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_66])]) ).
fof(f1209,plain,
( ! [X2,X0,X1] :
( apply_netmap(X0,sK5,sK13(sK6,sK5,sK4,sK15(X1,sK5,X2))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK6,sK5,sK4,sK15(X1,sK5,X2)))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ sP2(X1,sK5,X2) )
| ~ spl27_66
| ~ spl27_159 ),
inference(resolution,[],[f1201,f569]) ).
fof(f569,plain,
( ! [X2,X0,X1] :
( element(sK15(X0,X1,X2),the_carrier(X1))
| ~ sP2(X0,X1,X2) )
| ~ spl27_66 ),
inference(avatar_component_clause,[],[f568]) ).
fof(f22086,plain,
( spl27_272
| ~ spl27_63
| ~ spl27_159 ),
inference(avatar_split_clause,[],[f1206,f1200,f556,f2188]) ).
fof(f556,plain,
( spl27_63
<=> ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| element(sK12(X0,X1,X2),the_carrier(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_63])]) ).
fof(f1206,plain,
( ! [X2,X0,X1] :
( apply_netmap(X0,sK5,sK13(sK6,sK5,sK4,sK12(X1,sK5,X2))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK6,sK5,sK4,sK12(X1,sK5,X2)))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| sP0(X1,sK5,X2) )
| ~ spl27_63
| ~ spl27_159 ),
inference(resolution,[],[f1201,f557]) ).
fof(f557,plain,
( ! [X2,X0,X1] :
( element(sK12(X0,X1,X2),the_carrier(X1))
| sP0(X0,X1,X2) )
| ~ spl27_63 ),
inference(avatar_component_clause,[],[f556]) ).
fof(f21929,plain,
( ~ spl27_2
| spl27_1
| spl27_1173
| ~ spl27_4
| ~ spl27_1167 ),
inference(avatar_split_clause,[],[f21308,f21305,f249,f21926,f234,f239]) ).
fof(f239,plain,
( spl27_2
<=> one_sorted_str(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_2])]) ).
fof(f234,plain,
( spl27_1
<=> empty_carrier(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1])]) ).
fof(f21926,plain,
( spl27_1173
<=> apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK15(sK24,sK5,sK4)) = apply_netmap(sK4,sK5,sK15(sK24,sK5,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1173])]) ).
fof(f249,plain,
( spl27_4
<=> net_str(sK5,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_4])]) ).
fof(f21305,plain,
( spl27_1167
<=> ! [X0] :
( ~ net_str(sK5,X0)
| apply_netmap(X0,sK5,sK15(sK24,sK5,sK4)) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK15(sK24,sK5,sK4))
| empty_carrier(X0)
| ~ one_sorted_str(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1167])]) ).
fof(f21308,plain,
( apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK15(sK24,sK5,sK4)) = apply_netmap(sK4,sK5,sK15(sK24,sK5,sK4))
| empty_carrier(sK4)
| ~ one_sorted_str(sK4)
| ~ spl27_4
| ~ spl27_1167 ),
inference(resolution,[],[f21306,f251]) ).
fof(f251,plain,
( net_str(sK5,sK4)
| ~ spl27_4 ),
inference(avatar_component_clause,[],[f249]) ).
fof(f21306,plain,
( ! [X0] :
( ~ net_str(sK5,X0)
| apply_netmap(X0,sK5,sK15(sK24,sK5,sK4)) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK15(sK24,sK5,sK4))
| empty_carrier(X0)
| ~ one_sorted_str(X0) )
| ~ spl27_1167 ),
inference(avatar_component_clause,[],[f21305]) ).
fof(f21742,plain,
( ~ spl27_85
| spl27_199
| ~ spl27_65
| ~ spl27_1166 ),
inference(avatar_split_clause,[],[f21293,f21278,f564,f1520,f678]) ).
fof(f678,plain,
( spl27_85
<=> sP3(sK4,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_85])]) ).
fof(f1520,plain,
( spl27_199
<=> is_eventually_in(sK4,sK5,sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_199])]) ).
fof(f564,plain,
( spl27_65
<=> ! [X2,X0,X1] :
( is_eventually_in(X0,X1,X2)
| ~ sP2(X2,X1,X0)
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_65])]) ).
fof(f21278,plain,
( spl27_1166
<=> sP2(sK24,sK5,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1166])]) ).
fof(f21293,plain,
( is_eventually_in(sK4,sK5,sK24)
| ~ sP3(sK4,sK5)
| ~ spl27_65
| ~ spl27_1166 ),
inference(resolution,[],[f21280,f565]) ).
fof(f565,plain,
( ! [X2,X0,X1] :
( ~ sP2(X2,X1,X0)
| is_eventually_in(X0,X1,X2)
| ~ sP3(X0,X1) )
| ~ spl27_65 ),
inference(avatar_component_clause,[],[f564]) ).
fof(f21280,plain,
( sP2(sK24,sK5,sK4)
| ~ spl27_1166 ),
inference(avatar_component_clause,[],[f21278]) ).
fof(f21739,plain,
( ~ spl27_13
| spl27_123
| ~ spl27_1169 ),
inference(avatar_split_clause,[],[f21683,f21337,f922,f293]) ).
fof(f922,plain,
( spl27_123
<=> empty(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_123])]) ).
fof(f21683,plain,
( ~ empty(sK24)
| spl27_123
| ~ spl27_1169 ),
inference(forward_demodulation,[],[f924,f21339]) ).
fof(f21339,plain,
( sK7 = sK24
| ~ spl27_1169 ),
inference(avatar_component_clause,[],[f21337]) ).
fof(f924,plain,
( ~ empty(sK7)
| spl27_123 ),
inference(avatar_component_clause,[],[f922]) ).
fof(f21720,plain,
( spl27_199
| ~ spl27_200
| ~ spl27_1169 ),
inference(avatar_split_clause,[],[f21650,f21337,f1526,f1520]) ).
fof(f21650,plain,
( is_eventually_in(sK4,sK5,sK24)
| ~ spl27_200
| ~ spl27_1169 ),
inference(forward_demodulation,[],[f1527,f21339]) ).
fof(f1527,plain,
( is_eventually_in(sK4,sK5,sK7)
| ~ spl27_200 ),
inference(avatar_component_clause,[],[f1526]) ).
fof(f21699,plain,
( spl27_198
| ~ spl27_7
| ~ spl27_1168 ),
inference(avatar_split_clause,[],[f21691,f21315,f263,f1515]) ).
fof(f21694,plain,
( ~ spl27_13
| ~ spl27_32
| ~ spl27_428
| ~ spl27_1169 ),
inference(avatar_split_clause,[],[f21576,f21337,f4310,f379,f293]) ).
fof(f379,plain,
( spl27_32
<=> ! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_32])]) ).
fof(f4310,plain,
( spl27_428
<=> in(sK17(sK9(sK6)),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_428])]) ).
fof(f21576,plain,
( ~ empty(sK24)
| ~ spl27_32
| ~ spl27_428
| ~ spl27_1169 ),
inference(forward_demodulation,[],[f4371,f21339]) ).
fof(f4371,plain,
( ~ empty(sK7)
| ~ spl27_32
| ~ spl27_428 ),
inference(resolution,[],[f4312,f380]) ).
fof(f380,plain,
( ! [X0,X1] :
( ~ in(X0,X1)
| ~ empty(X1) )
| ~ spl27_32 ),
inference(avatar_component_clause,[],[f379]) ).
fof(f4312,plain,
( in(sK17(sK9(sK6)),sK7)
| ~ spl27_428 ),
inference(avatar_component_clause,[],[f4310]) ).
fof(f21569,plain,
( ~ spl27_199
| spl27_200
| ~ spl27_1169 ),
inference(avatar_split_clause,[],[f21438,f21337,f1526,f1520]) ).
fof(f21438,plain,
( ~ is_eventually_in(sK4,sK5,sK24)
| spl27_200
| ~ spl27_1169 ),
inference(superposition,[],[f1528,f21339]) ).
fof(f1528,plain,
( ~ is_eventually_in(sK4,sK5,sK7)
| spl27_200 ),
inference(avatar_component_clause,[],[f1526]) ).
fof(f21564,plain,
( spl27_3
| spl27_1172
| ~ spl27_226
| ~ spl27_1166 ),
inference(avatar_split_clause,[],[f21296,f21278,f1699,f21562,f244]) ).
fof(f21562,plain,
( spl27_1172
<=> ! [X0,X1] :
( empty_carrier(X0)
| ~ net_str(X0,X1)
| ~ one_sorted_str(X0)
| ~ net_str(sK5,X0)
| apply_netmap(X1,X0,apply_netmap(X0,sK5,sK15(sK24,sK5,sK4))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,sK5,sK15(sK24,sK5,sK4)))
| ~ one_sorted_str(X1)
| empty_carrier(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1172])]) ).
fof(f1699,plain,
( spl27_226
<=> ! [X2,X4,X0,X3,X1] :
( ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK15(X3,X2,X4))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK15(X3,X2,X4)))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ sP2(X3,X2,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_226])]) ).
fof(f21296,plain,
( ! [X0,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,sK5,sK15(sK24,sK5,sK4))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,sK5,sK15(sK24,sK5,sK4)))
| ~ net_str(sK5,X0)
| empty_carrier(sK5)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1) )
| ~ spl27_226
| ~ spl27_1166 ),
inference(resolution,[],[f21280,f1700]) ).
fof(f1700,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sP2(X3,X2,X4)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK15(X3,X2,X4))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK15(X3,X2,X4)))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1) )
| ~ spl27_226 ),
inference(avatar_component_clause,[],[f1699]) ).
fof(f21559,plain,
( spl27_1171
| ~ spl27_47
| ~ spl27_123 ),
inference(avatar_split_clause,[],[f1221,f922,f445,f21557]) ).
fof(f445,plain,
( spl27_47
<=> ! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_47])]) ).
fof(f1221,plain,
( ! [X0] :
( sK7 = X0
| ~ empty(X0) )
| ~ spl27_47
| ~ spl27_123 ),
inference(resolution,[],[f923,f446]) ).
fof(f446,plain,
( ! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) )
| ~ spl27_47 ),
inference(avatar_component_clause,[],[f445]) ).
fof(f923,plain,
( empty(sK7)
| ~ spl27_123 ),
inference(avatar_component_clause,[],[f922]) ).
fof(f21554,plain,
( spl27_1170
| ~ spl27_47
| ~ spl27_142 ),
inference(avatar_split_clause,[],[f1147,f1037,f445,f21552]) ).
fof(f1147,plain,
( ! [X0] :
( sK6 = X0
| ~ empty(X0) )
| ~ spl27_47
| ~ spl27_142 ),
inference(resolution,[],[f1038,f446]) ).
fof(f1038,plain,
( empty(sK6)
| ~ spl27_142 ),
inference(avatar_component_clause,[],[f1037]) ).
fof(f21340,plain,
( spl27_1169
| ~ spl27_91
| ~ spl27_123 ),
inference(avatar_split_clause,[],[f1220,f922,f709,f21337]) ).
fof(f709,plain,
( spl27_91
<=> ! [X0] :
( sK24 = X0
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_91])]) ).
fof(f1220,plain,
( sK7 = sK24
| ~ spl27_91
| ~ spl27_123 ),
inference(resolution,[],[f923,f710]) ).
fof(f710,plain,
( ! [X0] :
( ~ empty(X0)
| sK24 = X0 )
| ~ spl27_91 ),
inference(avatar_component_clause,[],[f709]) ).
fof(f21319,plain,
( ~ spl27_123
| ~ spl27_32
| ~ spl27_476 ),
inference(avatar_split_clause,[],[f4987,f4944,f379,f922]) ).
fof(f4944,plain,
( spl27_476
<=> in(sK17(sK10(sK6)),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_476])]) ).
fof(f4987,plain,
( ~ empty(sK7)
| ~ spl27_32
| ~ spl27_476 ),
inference(resolution,[],[f4946,f380]) ).
fof(f4946,plain,
( in(sK17(sK10(sK6)),sK7)
| ~ spl27_476 ),
inference(avatar_component_clause,[],[f4944]) ).
fof(f21318,plain,
( spl27_1168
| ~ spl27_91
| ~ spl27_142 ),
inference(avatar_split_clause,[],[f1146,f1037,f709,f21315]) ).
fof(f1146,plain,
( sK6 = sK24
| ~ spl27_91
| ~ spl27_142 ),
inference(resolution,[],[f1038,f710]) ).
fof(f21312,plain,
( spl27_107
| ~ spl27_22
| ~ spl27_123 ),
inference(avatar_split_clause,[],[f1222,f922,f334,f826]) ).
fof(f826,plain,
( spl27_107
<=> finite(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_107])]) ).
fof(f334,plain,
( spl27_22
<=> ! [X0] :
( finite(X0)
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_22])]) ).
fof(f1222,plain,
( finite(sK7)
| ~ spl27_22
| ~ spl27_123 ),
inference(resolution,[],[f923,f335]) ).
fof(f335,plain,
( ! [X0] :
( ~ empty(X0)
| finite(X0) )
| ~ spl27_22 ),
inference(avatar_component_clause,[],[f334]) ).
fof(f21310,plain,
( spl27_106
| ~ spl27_22
| ~ spl27_142 ),
inference(avatar_split_clause,[],[f1148,f1037,f334,f822]) ).
fof(f822,plain,
( spl27_106
<=> finite(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_106])]) ).
fof(f1148,plain,
( finite(sK6)
| ~ spl27_22
| ~ spl27_142 ),
inference(resolution,[],[f1038,f335]) ).
fof(f21307,plain,
( spl27_3
| spl27_1167
| ~ spl27_138
| ~ spl27_1166 ),
inference(avatar_split_clause,[],[f21294,f21278,f1018,f21305,f244]) ).
fof(f1018,plain,
( spl27_138
<=> ! [X0,X3,X2,X1] :
( apply_netmap(X0,X1,sK15(X2,X1,X3)) = apply_on_structs(X1,X0,the_mapping(X0,X1),sK15(X2,X1,X3))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ sP2(X2,X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_138])]) ).
fof(f21294,plain,
( ! [X0] :
( ~ net_str(sK5,X0)
| empty_carrier(sK5)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,sK5,sK15(sK24,sK5,sK4)) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK15(sK24,sK5,sK4)) )
| ~ spl27_138
| ~ spl27_1166 ),
inference(resolution,[],[f21280,f1019]) ).
fof(f1019,plain,
( ! [X2,X3,X0,X1] :
( ~ sP2(X2,X1,X3)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,sK15(X2,X1,X3)) = apply_on_structs(X1,X0,the_mapping(X0,X1),sK15(X2,X1,X3)) )
| ~ spl27_138 ),
inference(avatar_component_clause,[],[f1018]) ).
fof(f21281,plain,
( ~ spl27_85
| spl27_1166
| ~ spl27_64
| ~ spl27_199 ),
inference(avatar_split_clause,[],[f21263,f1520,f560,f21278,f678]) ).
fof(f560,plain,
( spl27_64
<=> ! [X2,X0,X1] :
( sP2(X2,X1,X0)
| ~ is_eventually_in(X0,X1,X2)
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_64])]) ).
fof(f21263,plain,
( sP2(sK24,sK5,sK4)
| ~ sP3(sK4,sK5)
| ~ spl27_64
| ~ spl27_199 ),
inference(resolution,[],[f1522,f561]) ).
fof(f561,plain,
( ! [X2,X0,X1] :
( ~ is_eventually_in(X0,X1,X2)
| sP2(X2,X1,X0)
| ~ sP3(X0,X1) )
| ~ spl27_64 ),
inference(avatar_component_clause,[],[f560]) ).
fof(f1522,plain,
( is_eventually_in(sK4,sK5,sK24)
| ~ spl27_199 ),
inference(avatar_component_clause,[],[f1520]) ).
fof(f21268,plain,
( ~ spl27_1165
| spl27_70
| ~ spl27_91
| ~ spl27_142 ),
inference(avatar_split_clause,[],[f1511,f1037,f709,f593,f21265]) ).
fof(f1511,plain,
( ~ sP0(sK24,sK5,sK4)
| spl27_70
| ~ spl27_91
| ~ spl27_142 ),
inference(forward_demodulation,[],[f594,f1146]) ).
fof(f594,plain,
( ~ sP0(sK6,sK5,sK4)
| spl27_70 ),
inference(avatar_component_clause,[],[f593]) ).
fof(f21253,plain,
( ~ spl27_85
| spl27_200
| ~ spl27_65
| ~ spl27_1151 ),
inference(avatar_split_clause,[],[f20354,f20303,f564,f1526,f678]) ).
fof(f20303,plain,
( spl27_1151
<=> sP2(sK7,sK5,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1151])]) ).
fof(f20354,plain,
( is_eventually_in(sK4,sK5,sK7)
| ~ sP3(sK4,sK5)
| ~ spl27_65
| ~ spl27_1151 ),
inference(resolution,[],[f20305,f565]) ).
fof(f20305,plain,
( sP2(sK7,sK5,sK4)
| ~ spl27_1151 ),
inference(avatar_component_clause,[],[f20303]) ).
fof(f20379,plain,
( spl27_1164
| ~ spl27_167
| ~ spl27_349 ),
inference(avatar_split_clause,[],[f3236,f3230,f1258,f20377]) ).
fof(f20377,plain,
( spl27_1164
<=> ! [X2,X0,X1] :
( ~ net_str(X0,X1)
| ~ one_sorted_str(X1)
| empty(cartesian_product2(the_carrier(X0),the_carrier(X1)))
| ~ in(powerset(X2),the_mapping(X1,X0))
| ~ subset(cartesian_product2(the_carrier(X0),the_carrier(X1)),X2)
| empty(powerset(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1164])]) ).
fof(f1258,plain,
( spl27_167
<=> ! [X0,X1] :
( empty(powerset(X0))
| ~ subset(X1,X0)
| ~ in(powerset(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_167])]) ).
fof(f3230,plain,
( spl27_349
<=> ! [X2,X0,X1] :
( ~ in(X0,the_mapping(X1,X2))
| ~ net_str(X2,X1)
| ~ one_sorted_str(X1)
| empty(cartesian_product2(the_carrier(X2),the_carrier(X1)))
| in(X0,cartesian_product2(the_carrier(X2),the_carrier(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_349])]) ).
fof(f3236,plain,
( ! [X2,X0,X1] :
( ~ net_str(X0,X1)
| ~ one_sorted_str(X1)
| empty(cartesian_product2(the_carrier(X0),the_carrier(X1)))
| ~ in(powerset(X2),the_mapping(X1,X0))
| ~ subset(cartesian_product2(the_carrier(X0),the_carrier(X1)),X2)
| empty(powerset(X2)) )
| ~ spl27_167
| ~ spl27_349 ),
inference(resolution,[],[f3231,f1259]) ).
fof(f1259,plain,
( ! [X0,X1] :
( ~ in(powerset(X0),X1)
| ~ subset(X1,X0)
| empty(powerset(X0)) )
| ~ spl27_167 ),
inference(avatar_component_clause,[],[f1258]) ).
fof(f3231,plain,
( ! [X2,X0,X1] :
( in(X0,cartesian_product2(the_carrier(X2),the_carrier(X1)))
| ~ net_str(X2,X1)
| ~ one_sorted_str(X1)
| empty(cartesian_product2(the_carrier(X2),the_carrier(X1)))
| ~ in(X0,the_mapping(X1,X2)) )
| ~ spl27_349 ),
inference(avatar_component_clause,[],[f3230]) ).
fof(f20375,plain,
( spl27_1163
| ~ spl27_110
| ~ spl27_348 ),
inference(avatar_split_clause,[],[f3211,f3145,f839,f20373]) ).
fof(f20373,plain,
( spl27_1163
<=> ! [X0,X3,X2,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(sK10(sK10(X2)),X1,X3)
| empty(sK10(X2))
| element(apply_netmap(X3,X1,sK13(sK10(sK10(X2)),X1,X3,X0)),X2)
| empty(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1163])]) ).
fof(f839,plain,
( spl27_110
<=> ! [X0,X1] :
( element(X0,X1)
| ~ in(X0,sK10(X1))
| empty(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_110])]) ).
fof(f3145,plain,
( spl27_348
<=> ! [X0,X3,X2,X1] :
( empty(X0)
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK10(X0),X2,X3)
| in(apply_netmap(X3,X2,sK13(sK10(X0),X2,X3,X1)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_348])]) ).
fof(f3211,plain,
( ! [X2,X3,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(sK10(sK10(X2)),X1,X3)
| empty(sK10(X2))
| element(apply_netmap(X3,X1,sK13(sK10(sK10(X2)),X1,X3,X0)),X2)
| empty(X2) )
| ~ spl27_110
| ~ spl27_348 ),
inference(resolution,[],[f3146,f840]) ).
fof(f840,plain,
( ! [X0,X1] :
( ~ in(X0,sK10(X1))
| element(X0,X1)
| empty(X1) )
| ~ spl27_110 ),
inference(avatar_component_clause,[],[f839]) ).
fof(f3146,plain,
( ! [X2,X3,X0,X1] :
( in(apply_netmap(X3,X2,sK13(sK10(X0),X2,X3,X1)),X0)
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK10(X0),X2,X3)
| empty(X0) )
| ~ spl27_348 ),
inference(avatar_component_clause,[],[f3145]) ).
fof(f20371,plain,
( spl27_1162
| ~ spl27_109
| ~ spl27_348 ),
inference(avatar_split_clause,[],[f3210,f3145,f835,f20369]) ).
fof(f20369,plain,
( spl27_1162
<=> ! [X0,X3,X2,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(sK10(sK9(X2)),X1,X3)
| empty(sK9(X2))
| element(apply_netmap(X3,X1,sK13(sK10(sK9(X2)),X1,X3,X0)),X2)
| empty(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1162])]) ).
fof(f835,plain,
( spl27_109
<=> ! [X0,X1] :
( element(X0,X1)
| ~ in(X0,sK9(X1))
| empty(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_109])]) ).
fof(f3210,plain,
( ! [X2,X3,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(sK10(sK9(X2)),X1,X3)
| empty(sK9(X2))
| element(apply_netmap(X3,X1,sK13(sK10(sK9(X2)),X1,X3,X0)),X2)
| empty(X2) )
| ~ spl27_109
| ~ spl27_348 ),
inference(resolution,[],[f3146,f836]) ).
fof(f836,plain,
( ! [X0,X1] :
( ~ in(X0,sK9(X1))
| element(X0,X1)
| empty(X1) )
| ~ spl27_109 ),
inference(avatar_component_clause,[],[f835]) ).
fof(f20367,plain,
( spl27_1161
| ~ spl27_108
| ~ spl27_348 ),
inference(avatar_split_clause,[],[f3209,f3145,f831,f20365]) ).
fof(f20365,plain,
( spl27_1161
<=> ! [X0,X3,X2,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(sK10(sK8(X2)),X1,X3)
| empty(sK8(X2))
| element(apply_netmap(X3,X1,sK13(sK10(sK8(X2)),X1,X3,X0)),X2)
| empty(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1161])]) ).
fof(f831,plain,
( spl27_108
<=> ! [X0,X1] :
( element(X0,X1)
| ~ in(X0,sK8(X1))
| empty(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_108])]) ).
fof(f3209,plain,
( ! [X2,X3,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(sK10(sK8(X2)),X1,X3)
| empty(sK8(X2))
| element(apply_netmap(X3,X1,sK13(sK10(sK8(X2)),X1,X3,X0)),X2)
| empty(X2) )
| ~ spl27_108
| ~ spl27_348 ),
inference(resolution,[],[f3146,f832]) ).
fof(f832,plain,
( ! [X0,X1] :
( ~ in(X0,sK8(X1))
| element(X0,X1)
| empty(X1) )
| ~ spl27_108 ),
inference(avatar_component_clause,[],[f831]) ).
fof(f20344,plain,
( spl27_1160
| ~ spl27_110
| ~ spl27_347 ),
inference(avatar_split_clause,[],[f3184,f3141,f839,f20342]) ).
fof(f20342,plain,
( spl27_1160
<=> ! [X0,X3,X2,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(sK9(sK10(X2)),X1,X3)
| empty(sK10(X2))
| element(apply_netmap(X3,X1,sK13(sK9(sK10(X2)),X1,X3,X0)),X2)
| empty(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1160])]) ).
fof(f3141,plain,
( spl27_347
<=> ! [X0,X3,X2,X1] :
( empty(X0)
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK9(X0),X2,X3)
| in(apply_netmap(X3,X2,sK13(sK9(X0),X2,X3,X1)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_347])]) ).
fof(f3184,plain,
( ! [X2,X3,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(sK9(sK10(X2)),X1,X3)
| empty(sK10(X2))
| element(apply_netmap(X3,X1,sK13(sK9(sK10(X2)),X1,X3,X0)),X2)
| empty(X2) )
| ~ spl27_110
| ~ spl27_347 ),
inference(resolution,[],[f3142,f840]) ).
fof(f3142,plain,
( ! [X2,X3,X0,X1] :
( in(apply_netmap(X3,X2,sK13(sK9(X0),X2,X3,X1)),X0)
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK9(X0),X2,X3)
| empty(X0) )
| ~ spl27_347 ),
inference(avatar_component_clause,[],[f3141]) ).
fof(f20340,plain,
( spl27_1159
| ~ spl27_109
| ~ spl27_347 ),
inference(avatar_split_clause,[],[f3183,f3141,f835,f20338]) ).
fof(f20338,plain,
( spl27_1159
<=> ! [X0,X3,X2,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(sK9(sK9(X2)),X1,X3)
| empty(sK9(X2))
| element(apply_netmap(X3,X1,sK13(sK9(sK9(X2)),X1,X3,X0)),X2)
| empty(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1159])]) ).
fof(f3183,plain,
( ! [X2,X3,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(sK9(sK9(X2)),X1,X3)
| empty(sK9(X2))
| element(apply_netmap(X3,X1,sK13(sK9(sK9(X2)),X1,X3,X0)),X2)
| empty(X2) )
| ~ spl27_109
| ~ spl27_347 ),
inference(resolution,[],[f3142,f836]) ).
fof(f20336,plain,
( spl27_1158
| ~ spl27_108
| ~ spl27_347 ),
inference(avatar_split_clause,[],[f3182,f3141,f831,f20334]) ).
fof(f20334,plain,
( spl27_1158
<=> ! [X0,X3,X2,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(sK9(sK8(X2)),X1,X3)
| empty(sK8(X2))
| element(apply_netmap(X3,X1,sK13(sK9(sK8(X2)),X1,X3,X0)),X2)
| empty(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1158])]) ).
fof(f3182,plain,
( ! [X2,X3,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(sK9(sK8(X2)),X1,X3)
| empty(sK8(X2))
| element(apply_netmap(X3,X1,sK13(sK9(sK8(X2)),X1,X3,X0)),X2)
| empty(X2) )
| ~ spl27_108
| ~ spl27_347 ),
inference(resolution,[],[f3142,f832]) ).
fof(f20332,plain,
( spl27_1157
| ~ spl27_110
| ~ spl27_345 ),
inference(avatar_split_clause,[],[f3157,f3104,f839,f20330]) ).
fof(f20330,plain,
( spl27_1157
<=> ! [X0,X3,X2,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(sK8(sK10(X2)),X1,X3)
| empty(sK10(X2))
| element(apply_netmap(X3,X1,sK13(sK8(sK10(X2)),X1,X3,X0)),X2)
| empty(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1157])]) ).
fof(f3104,plain,
( spl27_345
<=> ! [X0,X3,X2,X1] :
( empty(X0)
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK8(X0),X2,X3)
| in(apply_netmap(X3,X2,sK13(sK8(X0),X2,X3,X1)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_345])]) ).
fof(f3157,plain,
( ! [X2,X3,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(sK8(sK10(X2)),X1,X3)
| empty(sK10(X2))
| element(apply_netmap(X3,X1,sK13(sK8(sK10(X2)),X1,X3,X0)),X2)
| empty(X2) )
| ~ spl27_110
| ~ spl27_345 ),
inference(resolution,[],[f3105,f840]) ).
fof(f3105,plain,
( ! [X2,X3,X0,X1] :
( in(apply_netmap(X3,X2,sK13(sK8(X0),X2,X3,X1)),X0)
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK8(X0),X2,X3)
| empty(X0) )
| ~ spl27_345 ),
inference(avatar_component_clause,[],[f3104]) ).
fof(f20328,plain,
( spl27_1156
| ~ spl27_109
| ~ spl27_345 ),
inference(avatar_split_clause,[],[f3156,f3104,f835,f20326]) ).
fof(f20326,plain,
( spl27_1156
<=> ! [X0,X3,X2,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(sK8(sK9(X2)),X1,X3)
| empty(sK9(X2))
| element(apply_netmap(X3,X1,sK13(sK8(sK9(X2)),X1,X3,X0)),X2)
| empty(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1156])]) ).
fof(f3156,plain,
( ! [X2,X3,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(sK8(sK9(X2)),X1,X3)
| empty(sK9(X2))
| element(apply_netmap(X3,X1,sK13(sK8(sK9(X2)),X1,X3,X0)),X2)
| empty(X2) )
| ~ spl27_109
| ~ spl27_345 ),
inference(resolution,[],[f3105,f836]) ).
fof(f20324,plain,
( spl27_1155
| ~ spl27_108
| ~ spl27_345 ),
inference(avatar_split_clause,[],[f3155,f3104,f831,f20322]) ).
fof(f20322,plain,
( spl27_1155
<=> ! [X0,X3,X2,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(sK8(sK8(X2)),X1,X3)
| empty(sK8(X2))
| element(apply_netmap(X3,X1,sK13(sK8(sK8(X2)),X1,X3,X0)),X2)
| empty(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1155])]) ).
fof(f3155,plain,
( ! [X2,X3,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(sK8(sK8(X2)),X1,X3)
| empty(sK8(X2))
| element(apply_netmap(X3,X1,sK13(sK8(sK8(X2)),X1,X3,X0)),X2)
| empty(X2) )
| ~ spl27_108
| ~ spl27_345 ),
inference(resolution,[],[f3105,f832]) ).
fof(f20320,plain,
( spl27_1154
| ~ spl27_295
| ~ spl27_320 ),
inference(avatar_split_clause,[],[f2731,f2683,f2374,f20318]) ).
fof(f20318,plain,
( spl27_1154
<=> ! [X0] :
( element(sK17(sK10(sK17(sK17(powerset(powerset(X0)))))),X0)
| empty(sK17(powerset(powerset(X0))))
| empty(sK10(sK17(sK17(powerset(powerset(X0))))))
| empty(sK17(sK17(powerset(powerset(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1154])]) ).
fof(f2374,plain,
( spl27_295
<=> ! [X0] :
( empty(X0)
| empty(sK10(X0))
| in(sK17(sK10(X0)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_295])]) ).
fof(f2683,plain,
( spl27_320
<=> ! [X0,X1] :
( empty(sK17(powerset(powerset(X0))))
| element(X1,X0)
| ~ in(X1,sK17(sK17(powerset(powerset(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_320])]) ).
fof(f2731,plain,
( ! [X0] :
( element(sK17(sK10(sK17(sK17(powerset(powerset(X0)))))),X0)
| empty(sK17(powerset(powerset(X0))))
| empty(sK10(sK17(sK17(powerset(powerset(X0))))))
| empty(sK17(sK17(powerset(powerset(X0))))) )
| ~ spl27_295
| ~ spl27_320 ),
inference(resolution,[],[f2684,f2375]) ).
fof(f2375,plain,
( ! [X0] :
( in(sK17(sK10(X0)),X0)
| empty(sK10(X0))
| empty(X0) )
| ~ spl27_295 ),
inference(avatar_component_clause,[],[f2374]) ).
fof(f2684,plain,
( ! [X0,X1] :
( ~ in(X1,sK17(sK17(powerset(powerset(X0)))))
| element(X1,X0)
| empty(sK17(powerset(powerset(X0)))) )
| ~ spl27_320 ),
inference(avatar_component_clause,[],[f2683]) ).
fof(f20316,plain,
( spl27_1153
| ~ spl27_294
| ~ spl27_320 ),
inference(avatar_split_clause,[],[f2730,f2683,f2370,f20314]) ).
fof(f20314,plain,
( spl27_1153
<=> ! [X0] :
( element(sK17(sK9(sK17(sK17(powerset(powerset(X0)))))),X0)
| empty(sK17(powerset(powerset(X0))))
| empty(sK9(sK17(sK17(powerset(powerset(X0))))))
| empty(sK17(sK17(powerset(powerset(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1153])]) ).
fof(f2370,plain,
( spl27_294
<=> ! [X0] :
( empty(X0)
| empty(sK9(X0))
| in(sK17(sK9(X0)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_294])]) ).
fof(f2730,plain,
( ! [X0] :
( element(sK17(sK9(sK17(sK17(powerset(powerset(X0)))))),X0)
| empty(sK17(powerset(powerset(X0))))
| empty(sK9(sK17(sK17(powerset(powerset(X0))))))
| empty(sK17(sK17(powerset(powerset(X0))))) )
| ~ spl27_294
| ~ spl27_320 ),
inference(resolution,[],[f2684,f2371]) ).
fof(f2371,plain,
( ! [X0] :
( in(sK17(sK9(X0)),X0)
| empty(sK9(X0))
| empty(X0) )
| ~ spl27_294 ),
inference(avatar_component_clause,[],[f2370]) ).
fof(f20312,plain,
( spl27_1152
| ~ spl27_281
| ~ spl27_320 ),
inference(avatar_split_clause,[],[f2729,f2683,f2257,f20310]) ).
fof(f20310,plain,
( spl27_1152
<=> ! [X0] :
( element(sK17(sK8(sK17(sK17(powerset(powerset(X0)))))),X0)
| empty(sK17(powerset(powerset(X0))))
| empty(sK8(sK17(sK17(powerset(powerset(X0))))))
| empty(sK17(sK17(powerset(powerset(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1152])]) ).
fof(f2257,plain,
( spl27_281
<=> ! [X0] :
( empty(X0)
| empty(sK8(X0))
| in(sK17(sK8(X0)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_281])]) ).
fof(f2729,plain,
( ! [X0] :
( element(sK17(sK8(sK17(sK17(powerset(powerset(X0)))))),X0)
| empty(sK17(powerset(powerset(X0))))
| empty(sK8(sK17(sK17(powerset(powerset(X0))))))
| empty(sK17(sK17(powerset(powerset(X0))))) )
| ~ spl27_281
| ~ spl27_320 ),
inference(resolution,[],[f2684,f2258]) ).
fof(f2258,plain,
( ! [X0] :
( in(sK17(sK8(X0)),X0)
| empty(sK8(X0))
| empty(X0) )
| ~ spl27_281 ),
inference(avatar_component_clause,[],[f2257]) ).
fof(f20306,plain,
( spl27_1151
| ~ spl27_201
| ~ spl27_1141 ),
inference(avatar_split_clause,[],[f20106,f19799,f1532,f20303]) ).
fof(f1532,plain,
( spl27_201
<=> sP2(sK6,sK5,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_201])]) ).
fof(f19799,plain,
( spl27_1141
<=> ! [X0,X1] :
( sP2(sK7,X0,X1)
| ~ sP2(sK6,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1141])]) ).
fof(f20106,plain,
( sP2(sK7,sK5,sK4)
| ~ spl27_201
| ~ spl27_1141 ),
inference(resolution,[],[f19800,f1534]) ).
fof(f1534,plain,
( sP2(sK6,sK5,sK4)
| ~ spl27_201 ),
inference(avatar_component_clause,[],[f1532]) ).
fof(f19800,plain,
( ! [X0,X1] :
( ~ sP2(sK6,X0,X1)
| sP2(sK7,X0,X1) )
| ~ spl27_1141 ),
inference(avatar_component_clause,[],[f19799]) ).
fof(f20295,plain,
( spl27_1150
| ~ spl27_218
| ~ spl27_328 ),
inference(avatar_split_clause,[],[f2825,f2802,f1636,f20293]) ).
fof(f20293,plain,
( spl27_1150
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ net_str(sK5,X2)
| ~ one_sorted_str(X2)
| apply_netmap(X2,sK5,sK14(X3,sK5,X4,sK13(X0,sK5,X1,apply_netmap(X5,X6,sK14(X7,X6,X8,sK15(the_carrier(sK5),X6,X5)))))) = apply_on_structs(sK5,X2,the_mapping(X2,sK5),sK14(X3,sK5,X4,sK13(X0,sK5,X1,apply_netmap(X5,X6,sK14(X7,X6,X8,sK15(the_carrier(sK5),X6,X5))))))
| sP2(X3,sK5,X4)
| empty_carrier(X2)
| ~ sP2(the_carrier(sK5),X6,X5)
| sP2(X7,X6,X8)
| ~ element(sK15(the_carrier(sK5),X6,X5),the_carrier(X6))
| ~ element(sK14(X7,X6,X8,sK15(the_carrier(sK5),X6,X5)),the_carrier(X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1150])]) ).
fof(f2802,plain,
( spl27_328
<=> ! [X2,X4,X0,X5,X3,X1] :
( ~ one_sorted_str(X0)
| apply_netmap(sK4,sK5,sK12(X3,sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X3,sK5,X4))
| ~ net_str(sK5,X0)
| ~ element(X5,the_carrier(sK5))
| apply_netmap(X0,sK5,sK14(X1,sK5,X2,sK13(X3,sK5,X4,X5))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK14(X1,sK5,X2,sK13(X3,sK5,X4,X5)))
| sP2(X1,sK5,X2)
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_328])]) ).
fof(f2825,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ net_str(sK5,X2)
| ~ one_sorted_str(X2)
| apply_netmap(X2,sK5,sK14(X3,sK5,X4,sK13(X0,sK5,X1,apply_netmap(X5,X6,sK14(X7,X6,X8,sK15(the_carrier(sK5),X6,X5)))))) = apply_on_structs(sK5,X2,the_mapping(X2,sK5),sK14(X3,sK5,X4,sK13(X0,sK5,X1,apply_netmap(X5,X6,sK14(X7,X6,X8,sK15(the_carrier(sK5),X6,X5))))))
| sP2(X3,sK5,X4)
| empty_carrier(X2)
| ~ sP2(the_carrier(sK5),X6,X5)
| sP2(X7,X6,X8)
| ~ element(sK15(the_carrier(sK5),X6,X5),the_carrier(X6))
| ~ element(sK14(X7,X6,X8,sK15(the_carrier(sK5),X6,X5)),the_carrier(X6)) )
| ~ spl27_218
| ~ spl27_328 ),
inference(resolution,[],[f2803,f1637]) ).
fof(f2803,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ element(X5,the_carrier(sK5))
| apply_netmap(sK4,sK5,sK12(X3,sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X3,sK5,X4))
| ~ net_str(sK5,X0)
| ~ one_sorted_str(X0)
| apply_netmap(X0,sK5,sK14(X1,sK5,X2,sK13(X3,sK5,X4,X5))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK14(X1,sK5,X2,sK13(X3,sK5,X4,X5)))
| sP2(X1,sK5,X2)
| empty_carrier(X0) )
| ~ spl27_328 ),
inference(avatar_component_clause,[],[f2802]) ).
fof(f20291,plain,
( spl27_1149
| ~ spl27_216
| ~ spl27_328 ),
inference(avatar_split_clause,[],[f2820,f2802,f1625,f20289]) ).
fof(f20289,plain,
( spl27_1149
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ net_str(sK5,X2)
| ~ one_sorted_str(X2)
| apply_netmap(X2,sK5,sK14(X3,sK5,X4,sK13(X0,sK5,X1,apply_netmap(X5,X6,sK13(X7,X6,X8,sK15(the_carrier(sK5),X6,X5)))))) = apply_on_structs(sK5,X2,the_mapping(X2,sK5),sK14(X3,sK5,X4,sK13(X0,sK5,X1,apply_netmap(X5,X6,sK13(X7,X6,X8,sK15(the_carrier(sK5),X6,X5))))))
| sP2(X3,sK5,X4)
| empty_carrier(X2)
| ~ sP2(the_carrier(sK5),X6,X5)
| ~ element(sK15(the_carrier(sK5),X6,X5),the_carrier(X6))
| ~ sP0(X7,X6,X8)
| ~ element(sK13(X7,X6,X8,sK15(the_carrier(sK5),X6,X5)),the_carrier(X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1149])]) ).
fof(f2820,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ net_str(sK5,X2)
| ~ one_sorted_str(X2)
| apply_netmap(X2,sK5,sK14(X3,sK5,X4,sK13(X0,sK5,X1,apply_netmap(X5,X6,sK13(X7,X6,X8,sK15(the_carrier(sK5),X6,X5)))))) = apply_on_structs(sK5,X2,the_mapping(X2,sK5),sK14(X3,sK5,X4,sK13(X0,sK5,X1,apply_netmap(X5,X6,sK13(X7,X6,X8,sK15(the_carrier(sK5),X6,X5))))))
| sP2(X3,sK5,X4)
| empty_carrier(X2)
| ~ sP2(the_carrier(sK5),X6,X5)
| ~ element(sK15(the_carrier(sK5),X6,X5),the_carrier(X6))
| ~ sP0(X7,X6,X8)
| ~ element(sK13(X7,X6,X8,sK15(the_carrier(sK5),X6,X5)),the_carrier(X6)) )
| ~ spl27_216
| ~ spl27_328 ),
inference(resolution,[],[f2803,f1626]) ).
fof(f20287,plain,
( spl27_1148
| ~ spl27_218
| ~ spl27_327 ),
inference(avatar_split_clause,[],[f2779,f2762,f1636,f20285]) ).
fof(f20285,plain,
( spl27_1148
<=> ! [X5,X4,X2,X0,X6,X3,X1] :
( apply_netmap(X0,X1,apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,apply_netmap(X3,X4,sK14(X5,X4,X6,sK15(the_carrier(sK5),X4,X3)))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,apply_netmap(X3,X4,sK14(X5,X4,X6,sK15(the_carrier(sK5),X4,X3))))))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(sK4,sK5,sK12(the_carrier(X1),sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X1),sK5,X2))
| ~ sP2(the_carrier(sK5),X4,X3)
| sP2(X5,X4,X6)
| ~ element(sK15(the_carrier(sK5),X4,X3),the_carrier(X4))
| ~ element(sK14(X5,X4,X6,sK15(the_carrier(sK5),X4,X3)),the_carrier(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1148])]) ).
fof(f2762,plain,
( spl27_327
<=> ! [X0,X3,X2,X1] :
( ~ element(X0,the_carrier(sK5))
| apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,X0))) = apply_on_structs(X2,X1,the_mapping(X1,X2),apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,X0)))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X3)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_327])]) ).
fof(f2779,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( apply_netmap(X0,X1,apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,apply_netmap(X3,X4,sK14(X5,X4,X6,sK15(the_carrier(sK5),X4,X3)))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,apply_netmap(X3,X4,sK14(X5,X4,X6,sK15(the_carrier(sK5),X4,X3))))))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(sK4,sK5,sK12(the_carrier(X1),sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X1),sK5,X2))
| ~ sP2(the_carrier(sK5),X4,X3)
| sP2(X5,X4,X6)
| ~ element(sK15(the_carrier(sK5),X4,X3),the_carrier(X4))
| ~ element(sK14(X5,X4,X6,sK15(the_carrier(sK5),X4,X3)),the_carrier(X4)) )
| ~ spl27_218
| ~ spl27_327 ),
inference(resolution,[],[f2763,f1637]) ).
fof(f2763,plain,
( ! [X2,X3,X0,X1] :
( ~ element(X0,the_carrier(sK5))
| apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,X0))) = apply_on_structs(X2,X1,the_mapping(X1,X2),apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,X0)))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X3)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X3)) )
| ~ spl27_327 ),
inference(avatar_component_clause,[],[f2762]) ).
fof(f20283,plain,
( spl27_1147
| ~ spl27_216
| ~ spl27_327 ),
inference(avatar_split_clause,[],[f2774,f2762,f1625,f20281]) ).
fof(f20281,plain,
( spl27_1147
<=> ! [X5,X4,X2,X0,X6,X3,X1] :
( apply_netmap(X0,X1,apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,apply_netmap(X3,X4,sK13(X5,X4,X6,sK15(the_carrier(sK5),X4,X3)))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,apply_netmap(X3,X4,sK13(X5,X4,X6,sK15(the_carrier(sK5),X4,X3))))))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(sK4,sK5,sK12(the_carrier(X1),sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X1),sK5,X2))
| ~ sP2(the_carrier(sK5),X4,X3)
| ~ element(sK15(the_carrier(sK5),X4,X3),the_carrier(X4))
| ~ sP0(X5,X4,X6)
| ~ element(sK13(X5,X4,X6,sK15(the_carrier(sK5),X4,X3)),the_carrier(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1147])]) ).
fof(f2774,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( apply_netmap(X0,X1,apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,apply_netmap(X3,X4,sK13(X5,X4,X6,sK15(the_carrier(sK5),X4,X3)))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,apply_netmap(X3,X4,sK13(X5,X4,X6,sK15(the_carrier(sK5),X4,X3))))))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(sK4,sK5,sK12(the_carrier(X1),sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X1),sK5,X2))
| ~ sP2(the_carrier(sK5),X4,X3)
| ~ element(sK15(the_carrier(sK5),X4,X3),the_carrier(X4))
| ~ sP0(X5,X4,X6)
| ~ element(sK13(X5,X4,X6,sK15(the_carrier(sK5),X4,X3)),the_carrier(X4)) )
| ~ spl27_216
| ~ spl27_327 ),
inference(resolution,[],[f2763,f1626]) ).
fof(f20208,plain,
( spl27_1146
| ~ spl27_279
| ~ spl27_565 ),
inference(avatar_split_clause,[],[f5972,f5909,f2232,f20206]) ).
fof(f20206,plain,
( spl27_1146
<=> ! [X2,X6,X4,X0,X7,X5,X3,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X2,X3,apply_netmap(X4,sK5,sK13(sK17(powerset(the_carrier(X3))),sK5,X4,X5))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X2,X3,apply_netmap(X4,sK5,sK13(sK17(powerset(the_carrier(X3))),sK5,X4,X5)))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| ~ net_str(X1,X0)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| ~ element(X5,the_carrier(sK5))
| empty_carrier(X1)
| sP2(X6,sK5,X7)
| apply_netmap(sK4,sK5,sK14(X6,sK5,X7,sK12(sK17(powerset(the_carrier(X3))),sK5,X4))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X6,sK5,X7,sK12(sK17(powerset(the_carrier(X3))),sK5,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1146])]) ).
fof(f2232,plain,
( spl27_279
<=> ! [X0,X3,X2,X1] :
( sP2(X0,sK5,X1)
| sP0(X2,sK5,X3)
| apply_netmap(sK4,sK5,sK14(X0,sK5,X1,sK12(X2,sK5,X3))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X0,sK5,X1,sK12(X2,sK5,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_279])]) ).
fof(f5909,plain,
( spl27_565
<=> ! [X5,X3,X4,X2,X0,X6,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK13(sK17(powerset(the_carrier(X3))),X5,X4,X6))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK13(sK17(powerset(the_carrier(X3))),X5,X4,X6)))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| ~ element(X6,the_carrier(X5))
| ~ sP0(sK17(powerset(the_carrier(X3))),X5,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_565])]) ).
fof(f5972,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X2,X3,apply_netmap(X4,sK5,sK13(sK17(powerset(the_carrier(X3))),sK5,X4,X5))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X2,X3,apply_netmap(X4,sK5,sK13(sK17(powerset(the_carrier(X3))),sK5,X4,X5)))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| ~ net_str(X1,X0)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| ~ element(X5,the_carrier(sK5))
| empty_carrier(X1)
| sP2(X6,sK5,X7)
| apply_netmap(sK4,sK5,sK14(X6,sK5,X7,sK12(sK17(powerset(the_carrier(X3))),sK5,X4))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X6,sK5,X7,sK12(sK17(powerset(the_carrier(X3))),sK5,X4))) )
| ~ spl27_279
| ~ spl27_565 ),
inference(resolution,[],[f5910,f2233]) ).
fof(f2233,plain,
( ! [X2,X3,X0,X1] :
( sP2(X0,sK5,X1)
| sP0(X2,sK5,X3)
| apply_netmap(sK4,sK5,sK14(X0,sK5,X1,sK12(X2,sK5,X3))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X0,sK5,X1,sK12(X2,sK5,X3))) )
| ~ spl27_279 ),
inference(avatar_component_clause,[],[f2232]) ).
fof(f5910,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP0(sK17(powerset(the_carrier(X3))),X5,X4)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK13(sK17(powerset(the_carrier(X3))),X5,X4,X6))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK13(sK17(powerset(the_carrier(X3))),X5,X4,X6)))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| ~ element(X6,the_carrier(X5))
| empty_carrier(X0) )
| ~ spl27_565 ),
inference(avatar_component_clause,[],[f5909]) ).
fof(f19817,plain,
( spl27_1145
| ~ spl27_279
| ~ spl27_564 ),
inference(avatar_split_clause,[],[f5968,f5905,f2232,f19815]) ).
fof(f19815,plain,
( spl27_1145
<=> ! [X2,X6,X4,X0,X7,X5,X3,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X2,X3,apply_netmap(X4,sK5,sK13(sK10(the_carrier(X3)),sK5,X4,X5))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X2,X3,apply_netmap(X4,sK5,sK13(sK10(the_carrier(X3)),sK5,X4,X5)))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| ~ net_str(X1,X0)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| empty(the_carrier(X3))
| ~ element(X5,the_carrier(sK5))
| empty_carrier(X1)
| sP2(X6,sK5,X7)
| apply_netmap(sK4,sK5,sK14(X6,sK5,X7,sK12(sK10(the_carrier(X3)),sK5,X4))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X6,sK5,X7,sK12(sK10(the_carrier(X3)),sK5,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1145])]) ).
fof(f5905,plain,
( spl27_564
<=> ! [X5,X3,X4,X2,X0,X6,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK13(sK10(the_carrier(X3)),X5,X4,X6))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK13(sK10(the_carrier(X3)),X5,X4,X6)))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| empty(the_carrier(X3))
| ~ element(X6,the_carrier(X5))
| ~ sP0(sK10(the_carrier(X3)),X5,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_564])]) ).
fof(f5968,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X2,X3,apply_netmap(X4,sK5,sK13(sK10(the_carrier(X3)),sK5,X4,X5))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X2,X3,apply_netmap(X4,sK5,sK13(sK10(the_carrier(X3)),sK5,X4,X5)))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| ~ net_str(X1,X0)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| empty(the_carrier(X3))
| ~ element(X5,the_carrier(sK5))
| empty_carrier(X1)
| sP2(X6,sK5,X7)
| apply_netmap(sK4,sK5,sK14(X6,sK5,X7,sK12(sK10(the_carrier(X3)),sK5,X4))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X6,sK5,X7,sK12(sK10(the_carrier(X3)),sK5,X4))) )
| ~ spl27_279
| ~ spl27_564 ),
inference(resolution,[],[f5906,f2233]) ).
fof(f5906,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP0(sK10(the_carrier(X3)),X5,X4)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK13(sK10(the_carrier(X3)),X5,X4,X6))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK13(sK10(the_carrier(X3)),X5,X4,X6)))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| empty(the_carrier(X3))
| ~ element(X6,the_carrier(X5))
| empty_carrier(X0) )
| ~ spl27_564 ),
inference(avatar_component_clause,[],[f5905]) ).
fof(f19813,plain,
( spl27_1144
| ~ spl27_279
| ~ spl27_563 ),
inference(avatar_split_clause,[],[f5964,f5883,f2232,f19811]) ).
fof(f19811,plain,
( spl27_1144
<=> ! [X2,X6,X4,X0,X7,X5,X3,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X2,X3,apply_netmap(X4,sK5,sK13(sK9(the_carrier(X3)),sK5,X4,X5))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X2,X3,apply_netmap(X4,sK5,sK13(sK9(the_carrier(X3)),sK5,X4,X5)))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| ~ net_str(X1,X0)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| empty(the_carrier(X3))
| ~ element(X5,the_carrier(sK5))
| empty_carrier(X1)
| sP2(X6,sK5,X7)
| apply_netmap(sK4,sK5,sK14(X6,sK5,X7,sK12(sK9(the_carrier(X3)),sK5,X4))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X6,sK5,X7,sK12(sK9(the_carrier(X3)),sK5,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1144])]) ).
fof(f5883,plain,
( spl27_563
<=> ! [X5,X3,X4,X2,X0,X6,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK13(sK9(the_carrier(X3)),X5,X4,X6))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK13(sK9(the_carrier(X3)),X5,X4,X6)))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| empty(the_carrier(X3))
| ~ element(X6,the_carrier(X5))
| ~ sP0(sK9(the_carrier(X3)),X5,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_563])]) ).
fof(f5964,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X2,X3,apply_netmap(X4,sK5,sK13(sK9(the_carrier(X3)),sK5,X4,X5))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X2,X3,apply_netmap(X4,sK5,sK13(sK9(the_carrier(X3)),sK5,X4,X5)))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| ~ net_str(X1,X0)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| empty(the_carrier(X3))
| ~ element(X5,the_carrier(sK5))
| empty_carrier(X1)
| sP2(X6,sK5,X7)
| apply_netmap(sK4,sK5,sK14(X6,sK5,X7,sK12(sK9(the_carrier(X3)),sK5,X4))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X6,sK5,X7,sK12(sK9(the_carrier(X3)),sK5,X4))) )
| ~ spl27_279
| ~ spl27_563 ),
inference(resolution,[],[f5884,f2233]) ).
fof(f5884,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP0(sK9(the_carrier(X3)),X5,X4)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK13(sK9(the_carrier(X3)),X5,X4,X6))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK13(sK9(the_carrier(X3)),X5,X4,X6)))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| empty(the_carrier(X3))
| ~ element(X6,the_carrier(X5))
| empty_carrier(X0) )
| ~ spl27_563 ),
inference(avatar_component_clause,[],[f5883]) ).
fof(f19809,plain,
( spl27_1143
| ~ spl27_279
| ~ spl27_562 ),
inference(avatar_split_clause,[],[f5960,f5879,f2232,f19807]) ).
fof(f19807,plain,
( spl27_1143
<=> ! [X2,X6,X4,X0,X7,X5,X3,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X2,X3,apply_netmap(X4,sK5,sK13(sK8(the_carrier(X3)),sK5,X4,X5))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X2,X3,apply_netmap(X4,sK5,sK13(sK8(the_carrier(X3)),sK5,X4,X5)))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| ~ net_str(X1,X0)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| empty(the_carrier(X3))
| ~ element(X5,the_carrier(sK5))
| empty_carrier(X1)
| sP2(X6,sK5,X7)
| apply_netmap(sK4,sK5,sK14(X6,sK5,X7,sK12(sK8(the_carrier(X3)),sK5,X4))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X6,sK5,X7,sK12(sK8(the_carrier(X3)),sK5,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1143])]) ).
fof(f5879,plain,
( spl27_562
<=> ! [X5,X3,X4,X2,X0,X6,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK13(sK8(the_carrier(X3)),X5,X4,X6))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK13(sK8(the_carrier(X3)),X5,X4,X6)))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| empty(the_carrier(X3))
| ~ element(X6,the_carrier(X5))
| ~ sP0(sK8(the_carrier(X3)),X5,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_562])]) ).
fof(f5960,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X2,X3,apply_netmap(X4,sK5,sK13(sK8(the_carrier(X3)),sK5,X4,X5))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X2,X3,apply_netmap(X4,sK5,sK13(sK8(the_carrier(X3)),sK5,X4,X5)))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| ~ net_str(X1,X0)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| empty(the_carrier(X3))
| ~ element(X5,the_carrier(sK5))
| empty_carrier(X1)
| sP2(X6,sK5,X7)
| apply_netmap(sK4,sK5,sK14(X6,sK5,X7,sK12(sK8(the_carrier(X3)),sK5,X4))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X6,sK5,X7,sK12(sK8(the_carrier(X3)),sK5,X4))) )
| ~ spl27_279
| ~ spl27_562 ),
inference(resolution,[],[f5880,f2233]) ).
fof(f5880,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP0(sK8(the_carrier(X3)),X5,X4)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK13(sK8(the_carrier(X3)),X5,X4,X6))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK13(sK8(the_carrier(X3)),X5,X4,X6)))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| empty(the_carrier(X3))
| ~ element(X6,the_carrier(X5))
| empty_carrier(X0) )
| ~ spl27_562 ),
inference(avatar_component_clause,[],[f5879]) ).
fof(f19805,plain,
( spl27_1142
| ~ spl27_279
| ~ spl27_557 ),
inference(avatar_split_clause,[],[f5862,f5821,f2232,f19803]) ).
fof(f19803,plain,
( spl27_1142
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,sK14(X3,X2,X4,apply_netmap(X5,sK5,sK13(sK17(powerset(the_carrier(X2))),sK5,X5,X6))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,sK14(X3,X2,X4,apply_netmap(X5,sK5,sK13(sK17(powerset(the_carrier(X2))),sK5,X5,X6)))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| sP2(X3,X2,X4)
| ~ net_str(X1,X0)
| ~ element(X6,the_carrier(sK5))
| empty_carrier(X1)
| sP2(X7,sK5,X8)
| apply_netmap(sK4,sK5,sK14(X7,sK5,X8,sK12(sK17(powerset(the_carrier(X2))),sK5,X5))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X7,sK5,X8,sK12(sK17(powerset(the_carrier(X2))),sK5,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1142])]) ).
fof(f5821,plain,
( spl27_557
<=> ! [X2,X6,X4,X3,X0,X5,X1,X7] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK13(sK17(powerset(the_carrier(X2))),X6,X5,X7))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK13(sK17(powerset(the_carrier(X2))),X6,X5,X7)))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| ~ element(X7,the_carrier(X6))
| ~ sP0(sK17(powerset(the_carrier(X2))),X6,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_557])]) ).
fof(f5862,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,sK14(X3,X2,X4,apply_netmap(X5,sK5,sK13(sK17(powerset(the_carrier(X2))),sK5,X5,X6))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,sK14(X3,X2,X4,apply_netmap(X5,sK5,sK13(sK17(powerset(the_carrier(X2))),sK5,X5,X6)))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| sP2(X3,X2,X4)
| ~ net_str(X1,X0)
| ~ element(X6,the_carrier(sK5))
| empty_carrier(X1)
| sP2(X7,sK5,X8)
| apply_netmap(sK4,sK5,sK14(X7,sK5,X8,sK12(sK17(powerset(the_carrier(X2))),sK5,X5))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X7,sK5,X8,sK12(sK17(powerset(the_carrier(X2))),sK5,X5))) )
| ~ spl27_279
| ~ spl27_557 ),
inference(resolution,[],[f5822,f2233]) ).
fof(f5822,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP0(sK17(powerset(the_carrier(X2))),X6,X5)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK13(sK17(powerset(the_carrier(X2))),X6,X5,X7))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK13(sK17(powerset(the_carrier(X2))),X6,X5,X7)))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| ~ element(X7,the_carrier(X6))
| empty_carrier(X0) )
| ~ spl27_557 ),
inference(avatar_component_clause,[],[f5821]) ).
fof(f19801,plain,
( spl27_1141
| ~ spl27_66
| ~ spl27_1130 ),
inference(avatar_split_clause,[],[f19288,f19219,f568,f19799]) ).
fof(f19219,plain,
( spl27_1130
<=> ! [X0,X1] :
( ~ element(sK15(sK6,X0,X1),the_carrier(X0))
| sP2(sK7,X0,X1)
| ~ sP2(sK6,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1130])]) ).
fof(f19288,plain,
( ! [X0,X1] :
( sP2(sK7,X0,X1)
| ~ sP2(sK6,X0,X1) )
| ~ spl27_66
| ~ spl27_1130 ),
inference(duplicate_literal_removal,[],[f19287]) ).
fof(f19287,plain,
( ! [X0,X1] :
( sP2(sK7,X0,X1)
| ~ sP2(sK6,X0,X1)
| ~ sP2(sK6,X0,X1) )
| ~ spl27_66
| ~ spl27_1130 ),
inference(resolution,[],[f19220,f569]) ).
fof(f19220,plain,
( ! [X0,X1] :
( ~ element(sK15(sK6,X0,X1),the_carrier(X0))
| sP2(sK7,X0,X1)
| ~ sP2(sK6,X0,X1) )
| ~ spl27_1130 ),
inference(avatar_component_clause,[],[f19219]) ).
fof(f19797,plain,
( spl27_1140
| ~ spl27_279
| ~ spl27_553 ),
inference(avatar_split_clause,[],[f5846,f5805,f2232,f19795]) ).
fof(f19795,plain,
( spl27_1140
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X2,X4,apply_netmap(X5,sK5,sK13(sK17(powerset(the_carrier(X4))),sK5,X5,X6))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X2,X4,apply_netmap(X5,sK5,sK13(sK17(powerset(the_carrier(X4))),sK5,X5,X6)))))
| ~ net_str(X2,X0)
| ~ net_str(X4,X2)
| empty_carrier(X4)
| ~ one_sorted_str(X2)
| ~ element(X6,the_carrier(sK5))
| empty_carrier(X2)
| sP2(X7,sK5,X8)
| apply_netmap(sK4,sK5,sK14(X7,sK5,X8,sK12(sK17(powerset(the_carrier(X4))),sK5,X5))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X7,sK5,X8,sK12(sK17(powerset(the_carrier(X4))),sK5,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1140])]) ).
fof(f5805,plain,
( spl27_553
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK13(sK17(powerset(the_carrier(X4))),X6,X5,X7))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK13(sK17(powerset(the_carrier(X4))),X6,X5,X7)))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| ~ element(X7,the_carrier(X6))
| ~ sP0(sK17(powerset(the_carrier(X4))),X6,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_553])]) ).
fof(f5846,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X2,X4,apply_netmap(X5,sK5,sK13(sK17(powerset(the_carrier(X4))),sK5,X5,X6))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X2,X4,apply_netmap(X5,sK5,sK13(sK17(powerset(the_carrier(X4))),sK5,X5,X6)))))
| ~ net_str(X2,X0)
| ~ net_str(X4,X2)
| empty_carrier(X4)
| ~ one_sorted_str(X2)
| ~ element(X6,the_carrier(sK5))
| empty_carrier(X2)
| sP2(X7,sK5,X8)
| apply_netmap(sK4,sK5,sK14(X7,sK5,X8,sK12(sK17(powerset(the_carrier(X4))),sK5,X5))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X7,sK5,X8,sK12(sK17(powerset(the_carrier(X4))),sK5,X5))) )
| ~ spl27_279
| ~ spl27_553 ),
inference(resolution,[],[f5806,f2233]) ).
fof(f5806,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP0(sK17(powerset(the_carrier(X4))),X6,X5)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK13(sK17(powerset(the_carrier(X4))),X6,X5,X7))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK13(sK17(powerset(the_carrier(X4))),X6,X5,X7)))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| ~ element(X7,the_carrier(X6))
| empty_carrier(X0) )
| ~ spl27_553 ),
inference(avatar_component_clause,[],[f5805]) ).
fof(f19793,plain,
( spl27_1139
| ~ spl27_240
| ~ spl27_308 ),
inference(avatar_split_clause,[],[f2592,f2565,f1815,f19791]) ).
fof(f19791,plain,
( spl27_1139
<=> ! [X5,X4,X2,X0,X6,X3,X1] :
( apply_netmap(X0,sK5,sK13(X1,sK5,X2,apply_netmap(X3,X4,sK14(X5,X4,X6,sK15(sK17(powerset(the_carrier(sK5))),X4,X3))))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(X1,sK5,X2,apply_netmap(X3,X4,sK14(X5,X4,X6,sK15(sK17(powerset(the_carrier(sK5))),X4,X3)))))
| apply_netmap(sK4,sK5,sK12(X1,sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X1,sK5,X2))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ sP2(sK17(powerset(the_carrier(sK5))),X4,X3)
| sP2(X5,X4,X6)
| ~ element(sK15(sK17(powerset(the_carrier(sK5))),X4,X3),the_carrier(X4))
| ~ element(sK14(X5,X4,X6,sK15(sK17(powerset(the_carrier(sK5))),X4,X3)),the_carrier(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1139])]) ).
fof(f1815,plain,
( spl27_240
<=> ! [X4,X0,X3,X2,X1] :
( ~ element(sK14(X0,X1,X2,sK15(sK17(powerset(X3)),X1,X4)),the_carrier(X1))
| ~ sP2(sK17(powerset(X3)),X1,X4)
| sP2(X0,X1,X2)
| ~ element(sK15(sK17(powerset(X3)),X1,X4),the_carrier(X1))
| element(apply_netmap(X4,X1,sK14(X0,X1,X2,sK15(sK17(powerset(X3)),X1,X4))),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_240])]) ).
fof(f2565,plain,
( spl27_308
<=> ! [X0,X3,X2,X1] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| apply_netmap(X2,sK5,sK13(X0,sK5,X1,X3)) = apply_on_structs(sK5,X2,the_mapping(X2,sK5),sK13(X0,sK5,X1,X3))
| ~ element(X3,the_carrier(sK5))
| ~ net_str(sK5,X2)
| empty_carrier(X2)
| ~ one_sorted_str(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_308])]) ).
fof(f2592,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( apply_netmap(X0,sK5,sK13(X1,sK5,X2,apply_netmap(X3,X4,sK14(X5,X4,X6,sK15(sK17(powerset(the_carrier(sK5))),X4,X3))))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(X1,sK5,X2,apply_netmap(X3,X4,sK14(X5,X4,X6,sK15(sK17(powerset(the_carrier(sK5))),X4,X3)))))
| apply_netmap(sK4,sK5,sK12(X1,sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X1,sK5,X2))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ sP2(sK17(powerset(the_carrier(sK5))),X4,X3)
| sP2(X5,X4,X6)
| ~ element(sK15(sK17(powerset(the_carrier(sK5))),X4,X3),the_carrier(X4))
| ~ element(sK14(X5,X4,X6,sK15(sK17(powerset(the_carrier(sK5))),X4,X3)),the_carrier(X4)) )
| ~ spl27_240
| ~ spl27_308 ),
inference(resolution,[],[f2566,f1816]) ).
fof(f1816,plain,
( ! [X2,X3,X0,X1,X4] :
( element(apply_netmap(X4,X1,sK14(X0,X1,X2,sK15(sK17(powerset(X3)),X1,X4))),X3)
| ~ sP2(sK17(powerset(X3)),X1,X4)
| sP2(X0,X1,X2)
| ~ element(sK15(sK17(powerset(X3)),X1,X4),the_carrier(X1))
| ~ element(sK14(X0,X1,X2,sK15(sK17(powerset(X3)),X1,X4)),the_carrier(X1)) )
| ~ spl27_240 ),
inference(avatar_component_clause,[],[f1815]) ).
fof(f2566,plain,
( ! [X2,X3,X0,X1] :
( ~ element(X3,the_carrier(sK5))
| apply_netmap(X2,sK5,sK13(X0,sK5,X1,X3)) = apply_on_structs(sK5,X2,the_mapping(X2,sK5),sK13(X0,sK5,X1,X3))
| apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ net_str(sK5,X2)
| empty_carrier(X2)
| ~ one_sorted_str(X2) )
| ~ spl27_308 ),
inference(avatar_component_clause,[],[f2565]) ).
fof(f19789,plain,
( spl27_1138
| ~ spl27_239
| ~ spl27_308 ),
inference(avatar_split_clause,[],[f2587,f2565,f1811,f19787]) ).
fof(f19787,plain,
( spl27_1138
<=> ! [X5,X4,X2,X0,X6,X3,X1] :
( apply_netmap(X0,sK5,sK13(X1,sK5,X2,apply_netmap(X3,X4,sK13(X5,X4,X6,sK15(sK17(powerset(the_carrier(sK5))),X4,X3))))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(X1,sK5,X2,apply_netmap(X3,X4,sK13(X5,X4,X6,sK15(sK17(powerset(the_carrier(sK5))),X4,X3)))))
| apply_netmap(sK4,sK5,sK12(X1,sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X1,sK5,X2))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ sP2(sK17(powerset(the_carrier(sK5))),X4,X3)
| ~ element(sK15(sK17(powerset(the_carrier(sK5))),X4,X3),the_carrier(X4))
| ~ sP0(X5,X4,X6)
| ~ element(sK13(X5,X4,X6,sK15(sK17(powerset(the_carrier(sK5))),X4,X3)),the_carrier(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1138])]) ).
fof(f1811,plain,
( spl27_239
<=> ! [X4,X0,X3,X2,X1] :
( ~ element(sK13(X0,X1,X2,sK15(sK17(powerset(X3)),X1,X4)),the_carrier(X1))
| ~ sP2(sK17(powerset(X3)),X1,X4)
| ~ element(sK15(sK17(powerset(X3)),X1,X4),the_carrier(X1))
| ~ sP0(X0,X1,X2)
| element(apply_netmap(X4,X1,sK13(X0,X1,X2,sK15(sK17(powerset(X3)),X1,X4))),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_239])]) ).
fof(f2587,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( apply_netmap(X0,sK5,sK13(X1,sK5,X2,apply_netmap(X3,X4,sK13(X5,X4,X6,sK15(sK17(powerset(the_carrier(sK5))),X4,X3))))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(X1,sK5,X2,apply_netmap(X3,X4,sK13(X5,X4,X6,sK15(sK17(powerset(the_carrier(sK5))),X4,X3)))))
| apply_netmap(sK4,sK5,sK12(X1,sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X1,sK5,X2))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ sP2(sK17(powerset(the_carrier(sK5))),X4,X3)
| ~ element(sK15(sK17(powerset(the_carrier(sK5))),X4,X3),the_carrier(X4))
| ~ sP0(X5,X4,X6)
| ~ element(sK13(X5,X4,X6,sK15(sK17(powerset(the_carrier(sK5))),X4,X3)),the_carrier(X4)) )
| ~ spl27_239
| ~ spl27_308 ),
inference(resolution,[],[f2566,f1812]) ).
fof(f1812,plain,
( ! [X2,X3,X0,X1,X4] :
( element(apply_netmap(X4,X1,sK13(X0,X1,X2,sK15(sK17(powerset(X3)),X1,X4))),X3)
| ~ sP2(sK17(powerset(X3)),X1,X4)
| ~ element(sK15(sK17(powerset(X3)),X1,X4),the_carrier(X1))
| ~ sP0(X0,X1,X2)
| ~ element(sK13(X0,X1,X2,sK15(sK17(powerset(X3)),X1,X4)),the_carrier(X1)) )
| ~ spl27_239 ),
inference(avatar_component_clause,[],[f1811]) ).
fof(f19285,plain,
( spl27_1137
| ~ spl27_279
| ~ spl27_556 ),
inference(avatar_split_clause,[],[f5858,f5817,f2232,f19283]) ).
fof(f19283,plain,
( spl27_1137
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,sK14(X3,X2,X4,apply_netmap(X5,sK5,sK13(sK10(the_carrier(X2)),sK5,X5,X6))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,sK14(X3,X2,X4,apply_netmap(X5,sK5,sK13(sK10(the_carrier(X2)),sK5,X5,X6)))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| sP2(X3,X2,X4)
| ~ net_str(X1,X0)
| empty(the_carrier(X2))
| ~ element(X6,the_carrier(sK5))
| empty_carrier(X1)
| sP2(X7,sK5,X8)
| apply_netmap(sK4,sK5,sK14(X7,sK5,X8,sK12(sK10(the_carrier(X2)),sK5,X5))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X7,sK5,X8,sK12(sK10(the_carrier(X2)),sK5,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1137])]) ).
fof(f5817,plain,
( spl27_556
<=> ! [X2,X6,X4,X3,X0,X5,X1,X7] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK13(sK10(the_carrier(X2)),X6,X5,X7))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK13(sK10(the_carrier(X2)),X6,X5,X7)))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| empty(the_carrier(X2))
| ~ element(X7,the_carrier(X6))
| ~ sP0(sK10(the_carrier(X2)),X6,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_556])]) ).
fof(f5858,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,sK14(X3,X2,X4,apply_netmap(X5,sK5,sK13(sK10(the_carrier(X2)),sK5,X5,X6))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,sK14(X3,X2,X4,apply_netmap(X5,sK5,sK13(sK10(the_carrier(X2)),sK5,X5,X6)))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| sP2(X3,X2,X4)
| ~ net_str(X1,X0)
| empty(the_carrier(X2))
| ~ element(X6,the_carrier(sK5))
| empty_carrier(X1)
| sP2(X7,sK5,X8)
| apply_netmap(sK4,sK5,sK14(X7,sK5,X8,sK12(sK10(the_carrier(X2)),sK5,X5))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X7,sK5,X8,sK12(sK10(the_carrier(X2)),sK5,X5))) )
| ~ spl27_279
| ~ spl27_556 ),
inference(resolution,[],[f5818,f2233]) ).
fof(f5818,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP0(sK10(the_carrier(X2)),X6,X5)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK13(sK10(the_carrier(X2)),X6,X5,X7))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK13(sK10(the_carrier(X2)),X6,X5,X7)))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| empty(the_carrier(X2))
| ~ element(X7,the_carrier(X6))
| empty_carrier(X0) )
| ~ spl27_556 ),
inference(avatar_component_clause,[],[f5817]) ).
fof(f19281,plain,
( spl27_1136
| ~ spl27_279
| ~ spl27_555 ),
inference(avatar_split_clause,[],[f5854,f5813,f2232,f19279]) ).
fof(f19279,plain,
( spl27_1136
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,sK14(X3,X2,X4,apply_netmap(X5,sK5,sK13(sK9(the_carrier(X2)),sK5,X5,X6))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,sK14(X3,X2,X4,apply_netmap(X5,sK5,sK13(sK9(the_carrier(X2)),sK5,X5,X6)))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| sP2(X3,X2,X4)
| ~ net_str(X1,X0)
| empty(the_carrier(X2))
| ~ element(X6,the_carrier(sK5))
| empty_carrier(X1)
| sP2(X7,sK5,X8)
| apply_netmap(sK4,sK5,sK14(X7,sK5,X8,sK12(sK9(the_carrier(X2)),sK5,X5))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X7,sK5,X8,sK12(sK9(the_carrier(X2)),sK5,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1136])]) ).
fof(f5813,plain,
( spl27_555
<=> ! [X2,X6,X4,X3,X0,X5,X1,X7] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK13(sK9(the_carrier(X2)),X6,X5,X7))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK13(sK9(the_carrier(X2)),X6,X5,X7)))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| empty(the_carrier(X2))
| ~ element(X7,the_carrier(X6))
| ~ sP0(sK9(the_carrier(X2)),X6,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_555])]) ).
fof(f5854,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,sK14(X3,X2,X4,apply_netmap(X5,sK5,sK13(sK9(the_carrier(X2)),sK5,X5,X6))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,sK14(X3,X2,X4,apply_netmap(X5,sK5,sK13(sK9(the_carrier(X2)),sK5,X5,X6)))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| sP2(X3,X2,X4)
| ~ net_str(X1,X0)
| empty(the_carrier(X2))
| ~ element(X6,the_carrier(sK5))
| empty_carrier(X1)
| sP2(X7,sK5,X8)
| apply_netmap(sK4,sK5,sK14(X7,sK5,X8,sK12(sK9(the_carrier(X2)),sK5,X5))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X7,sK5,X8,sK12(sK9(the_carrier(X2)),sK5,X5))) )
| ~ spl27_279
| ~ spl27_555 ),
inference(resolution,[],[f5814,f2233]) ).
fof(f5814,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP0(sK9(the_carrier(X2)),X6,X5)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK13(sK9(the_carrier(X2)),X6,X5,X7))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK13(sK9(the_carrier(X2)),X6,X5,X7)))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| empty(the_carrier(X2))
| ~ element(X7,the_carrier(X6))
| empty_carrier(X0) )
| ~ spl27_555 ),
inference(avatar_component_clause,[],[f5813]) ).
fof(f19277,plain,
( spl27_1135
| ~ spl27_279
| ~ spl27_554 ),
inference(avatar_split_clause,[],[f5850,f5809,f2232,f19275]) ).
fof(f19275,plain,
( spl27_1135
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,sK14(X3,X2,X4,apply_netmap(X5,sK5,sK13(sK8(the_carrier(X2)),sK5,X5,X6))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,sK14(X3,X2,X4,apply_netmap(X5,sK5,sK13(sK8(the_carrier(X2)),sK5,X5,X6)))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| sP2(X3,X2,X4)
| ~ net_str(X1,X0)
| empty(the_carrier(X2))
| ~ element(X6,the_carrier(sK5))
| empty_carrier(X1)
| sP2(X7,sK5,X8)
| apply_netmap(sK4,sK5,sK14(X7,sK5,X8,sK12(sK8(the_carrier(X2)),sK5,X5))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X7,sK5,X8,sK12(sK8(the_carrier(X2)),sK5,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1135])]) ).
fof(f5809,plain,
( spl27_554
<=> ! [X2,X6,X4,X3,X0,X5,X1,X7] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK13(sK8(the_carrier(X2)),X6,X5,X7))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK13(sK8(the_carrier(X2)),X6,X5,X7)))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| empty(the_carrier(X2))
| ~ element(X7,the_carrier(X6))
| ~ sP0(sK8(the_carrier(X2)),X6,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_554])]) ).
fof(f5850,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,sK14(X3,X2,X4,apply_netmap(X5,sK5,sK13(sK8(the_carrier(X2)),sK5,X5,X6))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,sK14(X3,X2,X4,apply_netmap(X5,sK5,sK13(sK8(the_carrier(X2)),sK5,X5,X6)))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| sP2(X3,X2,X4)
| ~ net_str(X1,X0)
| empty(the_carrier(X2))
| ~ element(X6,the_carrier(sK5))
| empty_carrier(X1)
| sP2(X7,sK5,X8)
| apply_netmap(sK4,sK5,sK14(X7,sK5,X8,sK12(sK8(the_carrier(X2)),sK5,X5))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X7,sK5,X8,sK12(sK8(the_carrier(X2)),sK5,X5))) )
| ~ spl27_279
| ~ spl27_554 ),
inference(resolution,[],[f5810,f2233]) ).
fof(f5810,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP0(sK8(the_carrier(X2)),X6,X5)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK13(sK8(the_carrier(X2)),X6,X5,X7))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK13(sK8(the_carrier(X2)),X6,X5,X7)))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| empty(the_carrier(X2))
| ~ element(X7,the_carrier(X6))
| empty_carrier(X0) )
| ~ spl27_554 ),
inference(avatar_component_clause,[],[f5809]) ).
fof(f19273,plain,
( spl27_1134
| ~ spl27_279
| ~ spl27_552 ),
inference(avatar_split_clause,[],[f5837,f5801,f2232,f19271]) ).
fof(f19271,plain,
( spl27_1134
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X2,X4,apply_netmap(X5,sK5,sK13(sK10(the_carrier(X4)),sK5,X5,X6))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X2,X4,apply_netmap(X5,sK5,sK13(sK10(the_carrier(X4)),sK5,X5,X6)))))
| ~ net_str(X2,X0)
| ~ net_str(X4,X2)
| empty_carrier(X4)
| ~ one_sorted_str(X2)
| empty(the_carrier(X4))
| ~ element(X6,the_carrier(sK5))
| empty_carrier(X2)
| sP2(X7,sK5,X8)
| apply_netmap(sK4,sK5,sK14(X7,sK5,X8,sK12(sK10(the_carrier(X4)),sK5,X5))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X7,sK5,X8,sK12(sK10(the_carrier(X4)),sK5,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1134])]) ).
fof(f5801,plain,
( spl27_552
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK13(sK10(the_carrier(X4)),X6,X5,X7))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK13(sK10(the_carrier(X4)),X6,X5,X7)))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| empty(the_carrier(X4))
| ~ element(X7,the_carrier(X6))
| ~ sP0(sK10(the_carrier(X4)),X6,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_552])]) ).
fof(f5837,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X2,X4,apply_netmap(X5,sK5,sK13(sK10(the_carrier(X4)),sK5,X5,X6))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X2,X4,apply_netmap(X5,sK5,sK13(sK10(the_carrier(X4)),sK5,X5,X6)))))
| ~ net_str(X2,X0)
| ~ net_str(X4,X2)
| empty_carrier(X4)
| ~ one_sorted_str(X2)
| empty(the_carrier(X4))
| ~ element(X6,the_carrier(sK5))
| empty_carrier(X2)
| sP2(X7,sK5,X8)
| apply_netmap(sK4,sK5,sK14(X7,sK5,X8,sK12(sK10(the_carrier(X4)),sK5,X5))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X7,sK5,X8,sK12(sK10(the_carrier(X4)),sK5,X5))) )
| ~ spl27_279
| ~ spl27_552 ),
inference(resolution,[],[f5802,f2233]) ).
fof(f5802,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP0(sK10(the_carrier(X4)),X6,X5)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK13(sK10(the_carrier(X4)),X6,X5,X7))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK13(sK10(the_carrier(X4)),X6,X5,X7)))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| empty(the_carrier(X4))
| ~ element(X7,the_carrier(X6))
| empty_carrier(X0) )
| ~ spl27_552 ),
inference(avatar_component_clause,[],[f5801]) ).
fof(f19269,plain,
( spl27_1133
| ~ spl27_279
| ~ spl27_551 ),
inference(avatar_split_clause,[],[f5833,f5789,f2232,f19267]) ).
fof(f19267,plain,
( spl27_1133
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X2,X4,apply_netmap(X5,sK5,sK13(sK9(the_carrier(X4)),sK5,X5,X6))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X2,X4,apply_netmap(X5,sK5,sK13(sK9(the_carrier(X4)),sK5,X5,X6)))))
| ~ net_str(X2,X0)
| ~ net_str(X4,X2)
| empty_carrier(X4)
| ~ one_sorted_str(X2)
| empty(the_carrier(X4))
| ~ element(X6,the_carrier(sK5))
| empty_carrier(X2)
| sP2(X7,sK5,X8)
| apply_netmap(sK4,sK5,sK14(X7,sK5,X8,sK12(sK9(the_carrier(X4)),sK5,X5))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X7,sK5,X8,sK12(sK9(the_carrier(X4)),sK5,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1133])]) ).
fof(f5789,plain,
( spl27_551
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK13(sK9(the_carrier(X4)),X6,X5,X7))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK13(sK9(the_carrier(X4)),X6,X5,X7)))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| empty(the_carrier(X4))
| ~ element(X7,the_carrier(X6))
| ~ sP0(sK9(the_carrier(X4)),X6,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_551])]) ).
fof(f5833,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X2,X4,apply_netmap(X5,sK5,sK13(sK9(the_carrier(X4)),sK5,X5,X6))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X2,X4,apply_netmap(X5,sK5,sK13(sK9(the_carrier(X4)),sK5,X5,X6)))))
| ~ net_str(X2,X0)
| ~ net_str(X4,X2)
| empty_carrier(X4)
| ~ one_sorted_str(X2)
| empty(the_carrier(X4))
| ~ element(X6,the_carrier(sK5))
| empty_carrier(X2)
| sP2(X7,sK5,X8)
| apply_netmap(sK4,sK5,sK14(X7,sK5,X8,sK12(sK9(the_carrier(X4)),sK5,X5))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X7,sK5,X8,sK12(sK9(the_carrier(X4)),sK5,X5))) )
| ~ spl27_279
| ~ spl27_551 ),
inference(resolution,[],[f5790,f2233]) ).
fof(f5790,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP0(sK9(the_carrier(X4)),X6,X5)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK13(sK9(the_carrier(X4)),X6,X5,X7))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK13(sK9(the_carrier(X4)),X6,X5,X7)))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| empty(the_carrier(X4))
| ~ element(X7,the_carrier(X6))
| empty_carrier(X0) )
| ~ spl27_551 ),
inference(avatar_component_clause,[],[f5789]) ).
fof(f19265,plain,
( spl27_1132
| ~ spl27_279
| ~ spl27_550 ),
inference(avatar_split_clause,[],[f5829,f5785,f2232,f19263]) ).
fof(f19263,plain,
( spl27_1132
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X2,X4,apply_netmap(X5,sK5,sK13(sK8(the_carrier(X4)),sK5,X5,X6))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X2,X4,apply_netmap(X5,sK5,sK13(sK8(the_carrier(X4)),sK5,X5,X6)))))
| ~ net_str(X2,X0)
| ~ net_str(X4,X2)
| empty_carrier(X4)
| ~ one_sorted_str(X2)
| empty(the_carrier(X4))
| ~ element(X6,the_carrier(sK5))
| empty_carrier(X2)
| sP2(X7,sK5,X8)
| apply_netmap(sK4,sK5,sK14(X7,sK5,X8,sK12(sK8(the_carrier(X4)),sK5,X5))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X7,sK5,X8,sK12(sK8(the_carrier(X4)),sK5,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1132])]) ).
fof(f5785,plain,
( spl27_550
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK13(sK8(the_carrier(X4)),X6,X5,X7))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK13(sK8(the_carrier(X4)),X6,X5,X7)))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| empty(the_carrier(X4))
| ~ element(X7,the_carrier(X6))
| ~ sP0(sK8(the_carrier(X4)),X6,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_550])]) ).
fof(f5829,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X2,X4,apply_netmap(X5,sK5,sK13(sK8(the_carrier(X4)),sK5,X5,X6))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X2,X4,apply_netmap(X5,sK5,sK13(sK8(the_carrier(X4)),sK5,X5,X6)))))
| ~ net_str(X2,X0)
| ~ net_str(X4,X2)
| empty_carrier(X4)
| ~ one_sorted_str(X2)
| empty(the_carrier(X4))
| ~ element(X6,the_carrier(sK5))
| empty_carrier(X2)
| sP2(X7,sK5,X8)
| apply_netmap(sK4,sK5,sK14(X7,sK5,X8,sK12(sK8(the_carrier(X4)),sK5,X5))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X7,sK5,X8,sK12(sK8(the_carrier(X4)),sK5,X5))) )
| ~ spl27_279
| ~ spl27_550 ),
inference(resolution,[],[f5786,f2233]) ).
fof(f5786,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP0(sK8(the_carrier(X4)),X6,X5)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK13(sK8(the_carrier(X4)),X6,X5,X7))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK13(sK8(the_carrier(X4)),X6,X5,X7)))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| empty(the_carrier(X4))
| ~ element(X7,the_carrier(X6))
| empty_carrier(X0) )
| ~ spl27_550 ),
inference(avatar_component_clause,[],[f5785]) ).
fof(f19261,plain,
( spl27_1131
| ~ spl27_279
| ~ spl27_544 ),
inference(avatar_split_clause,[],[f5776,f5744,f2232,f19259]) ).
fof(f19259,plain,
( spl27_1131
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,sK14(X4,X2,X5,apply_netmap(X6,sK5,sK13(sK17(powerset(the_carrier(X2))),sK5,X6,X7))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,sK14(X4,X2,X5,apply_netmap(X6,sK5,sK13(sK17(powerset(the_carrier(X2))),sK5,X6,X7)))))
| sP2(X4,X2,X5)
| ~ net_str(X2,X0)
| ~ element(X7,the_carrier(sK5))
| empty_carrier(X2)
| sP2(X8,sK5,X9)
| apply_netmap(sK4,sK5,sK14(X8,sK5,X9,sK12(sK17(powerset(the_carrier(X2))),sK5,X6))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X8,sK5,X9,sK12(sK17(powerset(the_carrier(X2))),sK5,X6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1131])]) ).
fof(f5744,plain,
( spl27_544
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK13(sK17(powerset(the_carrier(X0))),X7,X6,X8))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK13(sK17(powerset(the_carrier(X0))),X7,X6,X8)))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| ~ element(X8,the_carrier(X7))
| ~ sP0(sK17(powerset(the_carrier(X0))),X7,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_544])]) ).
fof(f5776,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,sK14(X4,X2,X5,apply_netmap(X6,sK5,sK13(sK17(powerset(the_carrier(X2))),sK5,X6,X7))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,sK14(X4,X2,X5,apply_netmap(X6,sK5,sK13(sK17(powerset(the_carrier(X2))),sK5,X6,X7)))))
| sP2(X4,X2,X5)
| ~ net_str(X2,X0)
| ~ element(X7,the_carrier(sK5))
| empty_carrier(X2)
| sP2(X8,sK5,X9)
| apply_netmap(sK4,sK5,sK14(X8,sK5,X9,sK12(sK17(powerset(the_carrier(X2))),sK5,X6))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X8,sK5,X9,sK12(sK17(powerset(the_carrier(X2))),sK5,X6))) )
| ~ spl27_279
| ~ spl27_544 ),
inference(resolution,[],[f5745,f2233]) ).
fof(f5745,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ sP0(sK17(powerset(the_carrier(X0))),X7,X6)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK13(sK17(powerset(the_carrier(X0))),X7,X6,X8))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK13(sK17(powerset(the_carrier(X0))),X7,X6,X8)))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| ~ element(X8,the_carrier(X7))
| empty_carrier(X0) )
| ~ spl27_544 ),
inference(avatar_component_clause,[],[f5744]) ).
fof(f19221,plain,
( spl27_1130
| ~ spl27_75
| ~ spl27_1050 ),
inference(avatar_split_clause,[],[f18020,f15624,f615,f19219]) ).
fof(f15624,plain,
( spl27_1050
<=> ! [X0,X1] :
( ~ element(sK14(sK7,X0,X1,sK15(sK6,X0,X1)),the_carrier(X0))
| ~ element(sK15(sK6,X0,X1),the_carrier(X0))
| sP2(sK7,X0,X1)
| ~ sP2(sK6,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1050])]) ).
fof(f18020,plain,
( ! [X0,X1] :
( ~ element(sK15(sK6,X0,X1),the_carrier(X0))
| sP2(sK7,X0,X1)
| ~ sP2(sK6,X0,X1) )
| ~ spl27_75
| ~ spl27_1050 ),
inference(duplicate_literal_removal,[],[f18019]) ).
fof(f18019,plain,
( ! [X0,X1] :
( ~ element(sK15(sK6,X0,X1),the_carrier(X0))
| sP2(sK7,X0,X1)
| ~ sP2(sK6,X0,X1)
| sP2(sK7,X0,X1)
| ~ element(sK15(sK6,X0,X1),the_carrier(X0)) )
| ~ spl27_75
| ~ spl27_1050 ),
inference(resolution,[],[f15625,f616]) ).
fof(f15625,plain,
( ! [X0,X1] :
( ~ element(sK14(sK7,X0,X1,sK15(sK6,X0,X1)),the_carrier(X0))
| ~ element(sK15(sK6,X0,X1),the_carrier(X0))
| sP2(sK7,X0,X1)
| ~ sP2(sK6,X0,X1) )
| ~ spl27_1050 ),
inference(avatar_component_clause,[],[f15624]) ).
fof(f18018,plain,
( spl27_1129
| ~ spl27_95
| ~ spl27_364 ),
inference(avatar_split_clause,[],[f3406,f3356,f760,f18016]) ).
fof(f18016,plain,
( spl27_1129
<=> ! [X0,X3,X2,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(sK10(powerset(X2)),X1,X3)
| ~ empty(X2)
| empty(powerset(X2))
| empty(apply_netmap(X3,X1,sK13(sK10(powerset(X2)),X1,X3,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1129])]) ).
fof(f760,plain,
( spl27_95
<=> ! [X0] :
( empty(X0)
| in(sK17(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_95])]) ).
fof(f3356,plain,
( spl27_364
<=> ! [X4,X0,X3,X2,X1] :
( empty(powerset(X0))
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK10(powerset(X0)),X2,X3)
| ~ empty(X0)
| ~ in(X4,apply_netmap(X3,X2,sK13(sK10(powerset(X0)),X2,X3,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_364])]) ).
fof(f3406,plain,
( ! [X2,X3,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(sK10(powerset(X2)),X1,X3)
| ~ empty(X2)
| empty(powerset(X2))
| empty(apply_netmap(X3,X1,sK13(sK10(powerset(X2)),X1,X3,X0))) )
| ~ spl27_95
| ~ spl27_364 ),
inference(resolution,[],[f3357,f761]) ).
fof(f761,plain,
( ! [X0] :
( in(sK17(X0),X0)
| empty(X0) )
| ~ spl27_95 ),
inference(avatar_component_clause,[],[f760]) ).
fof(f3357,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ in(X4,apply_netmap(X3,X2,sK13(sK10(powerset(X0)),X2,X3,X1)))
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK10(powerset(X0)),X2,X3)
| ~ empty(X0)
| empty(powerset(X0)) )
| ~ spl27_364 ),
inference(avatar_component_clause,[],[f3356]) ).
fof(f18014,plain,
( spl27_1128
| ~ spl27_95
| ~ spl27_361 ),
inference(avatar_split_clause,[],[f3394,f3343,f760,f18012]) ).
fof(f18012,plain,
( spl27_1128
<=> ! [X0,X3,X2,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(sK9(powerset(X2)),X1,X3)
| ~ empty(X2)
| empty(powerset(X2))
| empty(apply_netmap(X3,X1,sK13(sK9(powerset(X2)),X1,X3,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1128])]) ).
fof(f3343,plain,
( spl27_361
<=> ! [X4,X0,X3,X2,X1] :
( empty(powerset(X0))
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK9(powerset(X0)),X2,X3)
| ~ empty(X0)
| ~ in(X4,apply_netmap(X3,X2,sK13(sK9(powerset(X0)),X2,X3,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_361])]) ).
fof(f3394,plain,
( ! [X2,X3,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(sK9(powerset(X2)),X1,X3)
| ~ empty(X2)
| empty(powerset(X2))
| empty(apply_netmap(X3,X1,sK13(sK9(powerset(X2)),X1,X3,X0))) )
| ~ spl27_95
| ~ spl27_361 ),
inference(resolution,[],[f3344,f761]) ).
fof(f3344,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ in(X4,apply_netmap(X3,X2,sK13(sK9(powerset(X0)),X2,X3,X1)))
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK9(powerset(X0)),X2,X3)
| ~ empty(X0)
| empty(powerset(X0)) )
| ~ spl27_361 ),
inference(avatar_component_clause,[],[f3343]) ).
fof(f18010,plain,
( spl27_1127
| ~ spl27_95
| ~ spl27_360 ),
inference(avatar_split_clause,[],[f3382,f3339,f760,f18008]) ).
fof(f18008,plain,
( spl27_1127
<=> ! [X0,X3,X2,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(sK8(powerset(X2)),X1,X3)
| ~ empty(X2)
| empty(powerset(X2))
| empty(apply_netmap(X3,X1,sK13(sK8(powerset(X2)),X1,X3,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1127])]) ).
fof(f3339,plain,
( spl27_360
<=> ! [X4,X0,X3,X2,X1] :
( empty(powerset(X0))
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK8(powerset(X0)),X2,X3)
| ~ empty(X0)
| ~ in(X4,apply_netmap(X3,X2,sK13(sK8(powerset(X0)),X2,X3,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_360])]) ).
fof(f3382,plain,
( ! [X2,X3,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(sK8(powerset(X2)),X1,X3)
| ~ empty(X2)
| empty(powerset(X2))
| empty(apply_netmap(X3,X1,sK13(sK8(powerset(X2)),X1,X3,X0))) )
| ~ spl27_95
| ~ spl27_360 ),
inference(resolution,[],[f3340,f761]) ).
fof(f3340,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ in(X4,apply_netmap(X3,X2,sK13(sK8(powerset(X0)),X2,X3,X1)))
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK8(powerset(X0)),X2,X3)
| ~ empty(X0)
| empty(powerset(X0)) )
| ~ spl27_360 ),
inference(avatar_component_clause,[],[f3339]) ).
fof(f18006,plain,
( spl27_1126
| ~ spl27_271
| ~ spl27_341 ),
inference(avatar_split_clause,[],[f3052,f3037,f2178,f18004]) ).
fof(f18004,plain,
( spl27_1126
<=> ! [X4,X0,X3,X2,X1] :
( ~ empty(X0)
| ~ sP0(powerset(X0),X1,X2)
| ~ element(X3,the_carrier(X1))
| apply_netmap(X2,X1,sK13(powerset(X0),X1,X2,X3)) = sK17(powerset(X4))
| ~ empty(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1126])]) ).
fof(f2178,plain,
( spl27_271
<=> ! [X0,X1] :
( ~ empty(X0)
| sK17(powerset(X0)) = X1
| ~ empty(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_271])]) ).
fof(f3037,plain,
( spl27_341
<=> ! [X0,X3,X2,X1] :
( ~ element(X0,the_carrier(X1))
| ~ empty(X2)
| ~ sP0(powerset(X2),X1,X3)
| empty(apply_netmap(X3,X1,sK13(powerset(X2),X1,X3,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_341])]) ).
fof(f3052,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ empty(X0)
| ~ sP0(powerset(X0),X1,X2)
| ~ element(X3,the_carrier(X1))
| apply_netmap(X2,X1,sK13(powerset(X0),X1,X2,X3)) = sK17(powerset(X4))
| ~ empty(X4) )
| ~ spl27_271
| ~ spl27_341 ),
inference(resolution,[],[f3038,f2179]) ).
fof(f2179,plain,
( ! [X0,X1] :
( ~ empty(X1)
| sK17(powerset(X0)) = X1
| ~ empty(X0) )
| ~ spl27_271 ),
inference(avatar_component_clause,[],[f2178]) ).
fof(f3038,plain,
( ! [X2,X3,X0,X1] :
( empty(apply_netmap(X3,X1,sK13(powerset(X2),X1,X3,X0)))
| ~ empty(X2)
| ~ sP0(powerset(X2),X1,X3)
| ~ element(X0,the_carrier(X1)) )
| ~ spl27_341 ),
inference(avatar_component_clause,[],[f3037]) ).
fof(f18002,plain,
( spl27_1125
| ~ spl27_295
| ~ spl27_333 ),
inference(avatar_split_clause,[],[f2925,f2896,f2374,f18000]) ).
fof(f18000,plain,
( spl27_1125
<=> ! [X0] :
( empty(sK10(powerset(X0)))
| element(sK17(sK10(sK17(sK10(powerset(X0))))),X0)
| empty(powerset(X0))
| empty(sK10(sK17(sK10(powerset(X0)))))
| empty(sK17(sK10(powerset(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1125])]) ).
fof(f2896,plain,
( spl27_333
<=> ! [X0,X1] :
( empty(powerset(X0))
| empty(sK10(powerset(X0)))
| element(X1,X0)
| ~ in(X1,sK17(sK10(powerset(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_333])]) ).
fof(f2925,plain,
( ! [X0] :
( empty(sK10(powerset(X0)))
| element(sK17(sK10(sK17(sK10(powerset(X0))))),X0)
| empty(powerset(X0))
| empty(sK10(sK17(sK10(powerset(X0)))))
| empty(sK17(sK10(powerset(X0)))) )
| ~ spl27_295
| ~ spl27_333 ),
inference(resolution,[],[f2897,f2375]) ).
fof(f2897,plain,
( ! [X0,X1] :
( ~ in(X1,sK17(sK10(powerset(X0))))
| empty(sK10(powerset(X0)))
| element(X1,X0)
| empty(powerset(X0)) )
| ~ spl27_333 ),
inference(avatar_component_clause,[],[f2896]) ).
fof(f17998,plain,
( spl27_1124
| ~ spl27_294
| ~ spl27_333 ),
inference(avatar_split_clause,[],[f2924,f2896,f2370,f17996]) ).
fof(f17996,plain,
( spl27_1124
<=> ! [X0] :
( empty(sK10(powerset(X0)))
| element(sK17(sK9(sK17(sK10(powerset(X0))))),X0)
| empty(powerset(X0))
| empty(sK9(sK17(sK10(powerset(X0)))))
| empty(sK17(sK10(powerset(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1124])]) ).
fof(f2924,plain,
( ! [X0] :
( empty(sK10(powerset(X0)))
| element(sK17(sK9(sK17(sK10(powerset(X0))))),X0)
| empty(powerset(X0))
| empty(sK9(sK17(sK10(powerset(X0)))))
| empty(sK17(sK10(powerset(X0)))) )
| ~ spl27_294
| ~ spl27_333 ),
inference(resolution,[],[f2897,f2371]) ).
fof(f17994,plain,
( spl27_1123
| ~ spl27_281
| ~ spl27_333 ),
inference(avatar_split_clause,[],[f2923,f2896,f2257,f17992]) ).
fof(f17992,plain,
( spl27_1123
<=> ! [X0] :
( empty(sK10(powerset(X0)))
| element(sK17(sK8(sK17(sK10(powerset(X0))))),X0)
| empty(powerset(X0))
| empty(sK8(sK17(sK10(powerset(X0)))))
| empty(sK17(sK10(powerset(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1123])]) ).
fof(f2923,plain,
( ! [X0] :
( empty(sK10(powerset(X0)))
| element(sK17(sK8(sK17(sK10(powerset(X0))))),X0)
| empty(powerset(X0))
| empty(sK8(sK17(sK10(powerset(X0)))))
| empty(sK17(sK10(powerset(X0)))) )
| ~ spl27_281
| ~ spl27_333 ),
inference(resolution,[],[f2897,f2258]) ).
fof(f17990,plain,
( spl27_1122
| ~ spl27_295
| ~ spl27_332 ),
inference(avatar_split_clause,[],[f2917,f2892,f2374,f17988]) ).
fof(f17988,plain,
( spl27_1122
<=> ! [X0] :
( empty(sK9(powerset(X0)))
| element(sK17(sK10(sK17(sK9(powerset(X0))))),X0)
| empty(powerset(X0))
| empty(sK10(sK17(sK9(powerset(X0)))))
| empty(sK17(sK9(powerset(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1122])]) ).
fof(f2892,plain,
( spl27_332
<=> ! [X0,X1] :
( empty(powerset(X0))
| empty(sK9(powerset(X0)))
| element(X1,X0)
| ~ in(X1,sK17(sK9(powerset(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_332])]) ).
fof(f2917,plain,
( ! [X0] :
( empty(sK9(powerset(X0)))
| element(sK17(sK10(sK17(sK9(powerset(X0))))),X0)
| empty(powerset(X0))
| empty(sK10(sK17(sK9(powerset(X0)))))
| empty(sK17(sK9(powerset(X0)))) )
| ~ spl27_295
| ~ spl27_332 ),
inference(resolution,[],[f2893,f2375]) ).
fof(f2893,plain,
( ! [X0,X1] :
( ~ in(X1,sK17(sK9(powerset(X0))))
| empty(sK9(powerset(X0)))
| element(X1,X0)
| empty(powerset(X0)) )
| ~ spl27_332 ),
inference(avatar_component_clause,[],[f2892]) ).
fof(f17986,plain,
( spl27_1121
| ~ spl27_294
| ~ spl27_332 ),
inference(avatar_split_clause,[],[f2916,f2892,f2370,f17984]) ).
fof(f17984,plain,
( spl27_1121
<=> ! [X0] :
( empty(sK9(powerset(X0)))
| element(sK17(sK9(sK17(sK9(powerset(X0))))),X0)
| empty(powerset(X0))
| empty(sK9(sK17(sK9(powerset(X0)))))
| empty(sK17(sK9(powerset(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1121])]) ).
fof(f2916,plain,
( ! [X0] :
( empty(sK9(powerset(X0)))
| element(sK17(sK9(sK17(sK9(powerset(X0))))),X0)
| empty(powerset(X0))
| empty(sK9(sK17(sK9(powerset(X0)))))
| empty(sK17(sK9(powerset(X0)))) )
| ~ spl27_294
| ~ spl27_332 ),
inference(resolution,[],[f2893,f2371]) ).
fof(f17982,plain,
( spl27_1120
| ~ spl27_281
| ~ spl27_332 ),
inference(avatar_split_clause,[],[f2915,f2892,f2257,f17980]) ).
fof(f17980,plain,
( spl27_1120
<=> ! [X0] :
( empty(sK9(powerset(X0)))
| element(sK17(sK8(sK17(sK9(powerset(X0))))),X0)
| empty(powerset(X0))
| empty(sK8(sK17(sK9(powerset(X0)))))
| empty(sK17(sK9(powerset(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1120])]) ).
fof(f2915,plain,
( ! [X0] :
( empty(sK9(powerset(X0)))
| element(sK17(sK8(sK17(sK9(powerset(X0))))),X0)
| empty(powerset(X0))
| empty(sK8(sK17(sK9(powerset(X0)))))
| empty(sK17(sK9(powerset(X0)))) )
| ~ spl27_281
| ~ spl27_332 ),
inference(resolution,[],[f2893,f2258]) ).
fof(f17975,plain,
( spl27_1119
| ~ spl27_295
| ~ spl27_331 ),
inference(avatar_split_clause,[],[f2909,f2888,f2374,f17973]) ).
fof(f17973,plain,
( spl27_1119
<=> ! [X0] :
( empty(sK8(powerset(X0)))
| element(sK17(sK10(sK17(sK8(powerset(X0))))),X0)
| empty(powerset(X0))
| empty(sK10(sK17(sK8(powerset(X0)))))
| empty(sK17(sK8(powerset(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1119])]) ).
fof(f2888,plain,
( spl27_331
<=> ! [X0,X1] :
( empty(powerset(X0))
| empty(sK8(powerset(X0)))
| element(X1,X0)
| ~ in(X1,sK17(sK8(powerset(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_331])]) ).
fof(f2909,plain,
( ! [X0] :
( empty(sK8(powerset(X0)))
| element(sK17(sK10(sK17(sK8(powerset(X0))))),X0)
| empty(powerset(X0))
| empty(sK10(sK17(sK8(powerset(X0)))))
| empty(sK17(sK8(powerset(X0)))) )
| ~ spl27_295
| ~ spl27_331 ),
inference(resolution,[],[f2889,f2375]) ).
fof(f2889,plain,
( ! [X0,X1] :
( ~ in(X1,sK17(sK8(powerset(X0))))
| empty(sK8(powerset(X0)))
| element(X1,X0)
| empty(powerset(X0)) )
| ~ spl27_331 ),
inference(avatar_component_clause,[],[f2888]) ).
fof(f17971,plain,
( spl27_1118
| ~ spl27_294
| ~ spl27_331 ),
inference(avatar_split_clause,[],[f2908,f2888,f2370,f17969]) ).
fof(f17969,plain,
( spl27_1118
<=> ! [X0] :
( empty(sK8(powerset(X0)))
| element(sK17(sK9(sK17(sK8(powerset(X0))))),X0)
| empty(powerset(X0))
| empty(sK9(sK17(sK8(powerset(X0)))))
| empty(sK17(sK8(powerset(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1118])]) ).
fof(f2908,plain,
( ! [X0] :
( empty(sK8(powerset(X0)))
| element(sK17(sK9(sK17(sK8(powerset(X0))))),X0)
| empty(powerset(X0))
| empty(sK9(sK17(sK8(powerset(X0)))))
| empty(sK17(sK8(powerset(X0)))) )
| ~ spl27_294
| ~ spl27_331 ),
inference(resolution,[],[f2889,f2371]) ).
fof(f17967,plain,
( spl27_1117
| ~ spl27_281
| ~ spl27_331 ),
inference(avatar_split_clause,[],[f2907,f2888,f2257,f17965]) ).
fof(f17965,plain,
( spl27_1117
<=> ! [X0] :
( empty(sK8(powerset(X0)))
| element(sK17(sK8(sK17(sK8(powerset(X0))))),X0)
| empty(powerset(X0))
| empty(sK8(sK17(sK8(powerset(X0)))))
| empty(sK17(sK8(powerset(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1117])]) ).
fof(f2907,plain,
( ! [X0] :
( empty(sK8(powerset(X0)))
| element(sK17(sK8(sK17(sK8(powerset(X0))))),X0)
| empty(powerset(X0))
| empty(sK8(sK17(sK8(powerset(X0)))))
| empty(sK17(sK8(powerset(X0)))) )
| ~ spl27_281
| ~ spl27_331 ),
inference(resolution,[],[f2889,f2258]) ).
fof(f17768,plain,
( spl27_1116
| ~ spl27_279
| ~ spl27_543 ),
inference(avatar_split_clause,[],[f5772,f5740,f2232,f17766]) ).
fof(f17766,plain,
( spl27_1116
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,sK14(X4,X2,X5,apply_netmap(X6,sK5,sK13(sK10(the_carrier(X2)),sK5,X6,X7))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,sK14(X4,X2,X5,apply_netmap(X6,sK5,sK13(sK10(the_carrier(X2)),sK5,X6,X7)))))
| sP2(X4,X2,X5)
| ~ net_str(X2,X0)
| empty(the_carrier(X2))
| ~ element(X7,the_carrier(sK5))
| empty_carrier(X2)
| sP2(X8,sK5,X9)
| apply_netmap(sK4,sK5,sK14(X8,sK5,X9,sK12(sK10(the_carrier(X2)),sK5,X6))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X8,sK5,X9,sK12(sK10(the_carrier(X2)),sK5,X6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1116])]) ).
fof(f5740,plain,
( spl27_543
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK13(sK10(the_carrier(X0)),X7,X6,X8))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK13(sK10(the_carrier(X0)),X7,X6,X8)))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| empty(the_carrier(X0))
| ~ element(X8,the_carrier(X7))
| ~ sP0(sK10(the_carrier(X0)),X7,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_543])]) ).
fof(f5772,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,sK14(X4,X2,X5,apply_netmap(X6,sK5,sK13(sK10(the_carrier(X2)),sK5,X6,X7))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,sK14(X4,X2,X5,apply_netmap(X6,sK5,sK13(sK10(the_carrier(X2)),sK5,X6,X7)))))
| sP2(X4,X2,X5)
| ~ net_str(X2,X0)
| empty(the_carrier(X2))
| ~ element(X7,the_carrier(sK5))
| empty_carrier(X2)
| sP2(X8,sK5,X9)
| apply_netmap(sK4,sK5,sK14(X8,sK5,X9,sK12(sK10(the_carrier(X2)),sK5,X6))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X8,sK5,X9,sK12(sK10(the_carrier(X2)),sK5,X6))) )
| ~ spl27_279
| ~ spl27_543 ),
inference(resolution,[],[f5741,f2233]) ).
fof(f5741,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ sP0(sK10(the_carrier(X0)),X7,X6)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK13(sK10(the_carrier(X0)),X7,X6,X8))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK13(sK10(the_carrier(X0)),X7,X6,X8)))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| empty(the_carrier(X0))
| ~ element(X8,the_carrier(X7))
| empty_carrier(X0) )
| ~ spl27_543 ),
inference(avatar_component_clause,[],[f5740]) ).
fof(f17764,plain,
( spl27_1115
| ~ spl27_279
| ~ spl27_542 ),
inference(avatar_split_clause,[],[f5768,f5736,f2232,f17762]) ).
fof(f17762,plain,
( spl27_1115
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,sK14(X4,X2,X5,apply_netmap(X6,sK5,sK13(sK9(the_carrier(X2)),sK5,X6,X7))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,sK14(X4,X2,X5,apply_netmap(X6,sK5,sK13(sK9(the_carrier(X2)),sK5,X6,X7)))))
| sP2(X4,X2,X5)
| ~ net_str(X2,X0)
| empty(the_carrier(X2))
| ~ element(X7,the_carrier(sK5))
| empty_carrier(X2)
| sP2(X8,sK5,X9)
| apply_netmap(sK4,sK5,sK14(X8,sK5,X9,sK12(sK9(the_carrier(X2)),sK5,X6))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X8,sK5,X9,sK12(sK9(the_carrier(X2)),sK5,X6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1115])]) ).
fof(f5736,plain,
( spl27_542
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK13(sK9(the_carrier(X0)),X7,X6,X8))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK13(sK9(the_carrier(X0)),X7,X6,X8)))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| empty(the_carrier(X0))
| ~ element(X8,the_carrier(X7))
| ~ sP0(sK9(the_carrier(X0)),X7,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_542])]) ).
fof(f5768,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,sK14(X4,X2,X5,apply_netmap(X6,sK5,sK13(sK9(the_carrier(X2)),sK5,X6,X7))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,sK14(X4,X2,X5,apply_netmap(X6,sK5,sK13(sK9(the_carrier(X2)),sK5,X6,X7)))))
| sP2(X4,X2,X5)
| ~ net_str(X2,X0)
| empty(the_carrier(X2))
| ~ element(X7,the_carrier(sK5))
| empty_carrier(X2)
| sP2(X8,sK5,X9)
| apply_netmap(sK4,sK5,sK14(X8,sK5,X9,sK12(sK9(the_carrier(X2)),sK5,X6))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X8,sK5,X9,sK12(sK9(the_carrier(X2)),sK5,X6))) )
| ~ spl27_279
| ~ spl27_542 ),
inference(resolution,[],[f5737,f2233]) ).
fof(f5737,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ sP0(sK9(the_carrier(X0)),X7,X6)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK13(sK9(the_carrier(X0)),X7,X6,X8))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK13(sK9(the_carrier(X0)),X7,X6,X8)))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| empty(the_carrier(X0))
| ~ element(X8,the_carrier(X7))
| empty_carrier(X0) )
| ~ spl27_542 ),
inference(avatar_component_clause,[],[f5736]) ).
fof(f17760,plain,
( spl27_1114
| ~ spl27_279
| ~ spl27_541 ),
inference(avatar_split_clause,[],[f5764,f5732,f2232,f17758]) ).
fof(f17758,plain,
( spl27_1114
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,sK14(X4,X2,X5,apply_netmap(X6,sK5,sK13(sK8(the_carrier(X2)),sK5,X6,X7))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,sK14(X4,X2,X5,apply_netmap(X6,sK5,sK13(sK8(the_carrier(X2)),sK5,X6,X7)))))
| sP2(X4,X2,X5)
| ~ net_str(X2,X0)
| empty(the_carrier(X2))
| ~ element(X7,the_carrier(sK5))
| empty_carrier(X2)
| sP2(X8,sK5,X9)
| apply_netmap(sK4,sK5,sK14(X8,sK5,X9,sK12(sK8(the_carrier(X2)),sK5,X6))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X8,sK5,X9,sK12(sK8(the_carrier(X2)),sK5,X6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1114])]) ).
fof(f5732,plain,
( spl27_541
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK13(sK8(the_carrier(X0)),X7,X6,X8))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK13(sK8(the_carrier(X0)),X7,X6,X8)))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| empty(the_carrier(X0))
| ~ element(X8,the_carrier(X7))
| ~ sP0(sK8(the_carrier(X0)),X7,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_541])]) ).
fof(f5764,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,sK14(X4,X2,X5,apply_netmap(X6,sK5,sK13(sK8(the_carrier(X2)),sK5,X6,X7))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,sK14(X4,X2,X5,apply_netmap(X6,sK5,sK13(sK8(the_carrier(X2)),sK5,X6,X7)))))
| sP2(X4,X2,X5)
| ~ net_str(X2,X0)
| empty(the_carrier(X2))
| ~ element(X7,the_carrier(sK5))
| empty_carrier(X2)
| sP2(X8,sK5,X9)
| apply_netmap(sK4,sK5,sK14(X8,sK5,X9,sK12(sK8(the_carrier(X2)),sK5,X6))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X8,sK5,X9,sK12(sK8(the_carrier(X2)),sK5,X6))) )
| ~ spl27_279
| ~ spl27_541 ),
inference(resolution,[],[f5733,f2233]) ).
fof(f5733,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ sP0(sK8(the_carrier(X0)),X7,X6)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK13(sK8(the_carrier(X0)),X7,X6,X8))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK13(sK8(the_carrier(X0)),X7,X6,X8)))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| empty(the_carrier(X0))
| ~ element(X8,the_carrier(X7))
| empty_carrier(X0) )
| ~ spl27_541 ),
inference(avatar_component_clause,[],[f5732]) ).
fof(f17753,plain,
( spl27_1113
| ~ spl27_308
| ~ spl27_391 ),
inference(avatar_split_clause,[],[f3757,f3735,f2565,f17751]) ).
fof(f17751,plain,
( spl27_1113
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(powerset(the_carrier(sK5)),X1,X2)
| ~ element(X3,the_carrier(X4))
| ~ sP0(apply_netmap(X2,X1,sK13(powerset(the_carrier(sK5)),X1,X2,X0)),X4,X5)
| apply_netmap(X6,sK5,sK13(X7,sK5,X8,apply_netmap(X5,X4,sK13(apply_netmap(X2,X1,sK13(powerset(the_carrier(sK5)),X1,X2,X0)),X4,X5,X3)))) = apply_on_structs(sK5,X6,the_mapping(X6,sK5),sK13(X7,sK5,X8,apply_netmap(X5,X4,sK13(apply_netmap(X2,X1,sK13(powerset(the_carrier(sK5)),X1,X2,X0)),X4,X5,X3))))
| apply_netmap(sK4,sK5,sK12(X7,sK5,X8)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X7,sK5,X8))
| ~ net_str(sK5,X6)
| empty_carrier(X6)
| ~ one_sorted_str(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1113])]) ).
fof(f3735,plain,
( spl27_391
<=> ! [X2,X6,X4,X3,X0,X5,X1] :
( ~ element(X0,the_carrier(X1))
| element(apply_netmap(X2,X3,sK13(apply_netmap(X4,X1,sK13(powerset(X5),X1,X4,X0)),X3,X2,X6)),X5)
| ~ sP0(powerset(X5),X1,X4)
| ~ element(X6,the_carrier(X3))
| ~ sP0(apply_netmap(X4,X1,sK13(powerset(X5),X1,X4,X0)),X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_391])]) ).
fof(f3757,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(powerset(the_carrier(sK5)),X1,X2)
| ~ element(X3,the_carrier(X4))
| ~ sP0(apply_netmap(X2,X1,sK13(powerset(the_carrier(sK5)),X1,X2,X0)),X4,X5)
| apply_netmap(X6,sK5,sK13(X7,sK5,X8,apply_netmap(X5,X4,sK13(apply_netmap(X2,X1,sK13(powerset(the_carrier(sK5)),X1,X2,X0)),X4,X5,X3)))) = apply_on_structs(sK5,X6,the_mapping(X6,sK5),sK13(X7,sK5,X8,apply_netmap(X5,X4,sK13(apply_netmap(X2,X1,sK13(powerset(the_carrier(sK5)),X1,X2,X0)),X4,X5,X3))))
| apply_netmap(sK4,sK5,sK12(X7,sK5,X8)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X7,sK5,X8))
| ~ net_str(sK5,X6)
| empty_carrier(X6)
| ~ one_sorted_str(X6) )
| ~ spl27_308
| ~ spl27_391 ),
inference(resolution,[],[f3736,f2566]) ).
fof(f3736,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( element(apply_netmap(X2,X3,sK13(apply_netmap(X4,X1,sK13(powerset(X5),X1,X4,X0)),X3,X2,X6)),X5)
| ~ element(X0,the_carrier(X1))
| ~ sP0(powerset(X5),X1,X4)
| ~ element(X6,the_carrier(X3))
| ~ sP0(apply_netmap(X4,X1,sK13(powerset(X5),X1,X4,X0)),X3,X2) )
| ~ spl27_391 ),
inference(avatar_component_clause,[],[f3735]) ).
fof(f17746,plain,
( spl27_3
| ~ spl27_59
| spl27_1112
| ~ spl27_83
| ~ spl27_339 ),
inference(avatar_split_clause,[],[f3010,f2988,f664,f17744,f524,f244]) ).
fof(f17744,plain,
( spl27_1112
<=> ! [X2,X6,X4,X0,X5,X3,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X4)
| ~ one_sorted_str(X4)
| ~ function(X5)
| ~ quasi_total(X5,the_carrier(X4),the_carrier(sK5))
| ~ relation_of2(X5,the_carrier(X4),the_carrier(sK5))
| ~ element(X6,the_carrier(X4))
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X3)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X3))
| empty_carrier(X1)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X1)
| empty_carrier(X2)
| ~ net_str(X2,X1)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,apply_on_structs(X4,sK5,X5,X6))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,apply_on_structs(X4,sK5,X5,X6)))))
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1112])]) ).
fof(f2988,plain,
( spl27_339
<=> ! [X2,X4,X0,X3,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,X4)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,X4))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ element(X4,the_carrier(sK5))
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X3)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_339])]) ).
fof(f3010,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,apply_on_structs(X4,sK5,X5,X6))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,apply_on_structs(X4,sK5,X5,X6)))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X3)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X3))
| ~ element(X6,the_carrier(X4))
| ~ relation_of2(X5,the_carrier(X4),the_carrier(sK5))
| ~ quasi_total(X5,the_carrier(X4),the_carrier(sK5))
| ~ function(X5)
| ~ one_sorted_str(sK5)
| empty_carrier(sK5)
| ~ one_sorted_str(X4)
| empty_carrier(X4) )
| ~ spl27_83
| ~ spl27_339 ),
inference(resolution,[],[f2989,f665]) ).
fof(f2989,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ element(X4,the_carrier(sK5))
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,X4)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,X4))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| empty_carrier(X0)
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X3)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X3)) )
| ~ spl27_339 ),
inference(avatar_component_clause,[],[f2988]) ).
fof(f17740,plain,
( spl27_290
| spl27_1111
| ~ spl27_234
| ~ spl27_308 ),
inference(avatar_split_clause,[],[f2591,f2565,f1735,f17738,f2337]) ).
fof(f17738,plain,
( spl27_1111
<=> ! [X5,X4,X2,X0,X6,X3,X1] :
( apply_netmap(X0,sK5,sK13(X1,sK5,X2,apply_netmap(X3,X4,sK14(X5,X4,X6,sK15(sK10(the_carrier(sK5)),X4,X3))))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(X1,sK5,X2,apply_netmap(X3,X4,sK14(X5,X4,X6,sK15(sK10(the_carrier(sK5)),X4,X3)))))
| ~ element(sK14(X5,X4,X6,sK15(sK10(the_carrier(sK5)),X4,X3)),the_carrier(X4))
| ~ element(sK15(sK10(the_carrier(sK5)),X4,X3),the_carrier(X4))
| sP2(X5,X4,X6)
| ~ sP2(sK10(the_carrier(sK5)),X4,X3)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ net_str(sK5,X0)
| apply_netmap(sK4,sK5,sK12(X1,sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X1,sK5,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1111])]) ).
fof(f1735,plain,
( spl27_234
<=> ! [X4,X0,X3,X2,X1] :
( ~ element(sK14(X0,X1,X2,sK15(sK10(X3),X1,X4)),the_carrier(X1))
| ~ sP2(sK10(X3),X1,X4)
| sP2(X0,X1,X2)
| ~ element(sK15(sK10(X3),X1,X4),the_carrier(X1))
| element(apply_netmap(X4,X1,sK14(X0,X1,X2,sK15(sK10(X3),X1,X4))),X3)
| empty(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_234])]) ).
fof(f2591,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( apply_netmap(X0,sK5,sK13(X1,sK5,X2,apply_netmap(X3,X4,sK14(X5,X4,X6,sK15(sK10(the_carrier(sK5)),X4,X3))))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(X1,sK5,X2,apply_netmap(X3,X4,sK14(X5,X4,X6,sK15(sK10(the_carrier(sK5)),X4,X3)))))
| apply_netmap(sK4,sK5,sK12(X1,sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X1,sK5,X2))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ sP2(sK10(the_carrier(sK5)),X4,X3)
| sP2(X5,X4,X6)
| ~ element(sK15(sK10(the_carrier(sK5)),X4,X3),the_carrier(X4))
| ~ element(sK14(X5,X4,X6,sK15(sK10(the_carrier(sK5)),X4,X3)),the_carrier(X4))
| empty(the_carrier(sK5)) )
| ~ spl27_234
| ~ spl27_308 ),
inference(resolution,[],[f2566,f1736]) ).
fof(f1736,plain,
( ! [X2,X3,X0,X1,X4] :
( element(apply_netmap(X4,X1,sK14(X0,X1,X2,sK15(sK10(X3),X1,X4))),X3)
| ~ sP2(sK10(X3),X1,X4)
| sP2(X0,X1,X2)
| ~ element(sK15(sK10(X3),X1,X4),the_carrier(X1))
| ~ element(sK14(X0,X1,X2,sK15(sK10(X3),X1,X4)),the_carrier(X1))
| empty(X3) )
| ~ spl27_234 ),
inference(avatar_component_clause,[],[f1735]) ).
fof(f17734,plain,
( spl27_290
| spl27_1110
| ~ spl27_233
| ~ spl27_308 ),
inference(avatar_split_clause,[],[f2590,f2565,f1731,f17732,f2337]) ).
fof(f17732,plain,
( spl27_1110
<=> ! [X5,X4,X2,X0,X6,X3,X1] :
( apply_netmap(X0,sK5,sK13(X1,sK5,X2,apply_netmap(X3,X4,sK14(X5,X4,X6,sK15(sK9(the_carrier(sK5)),X4,X3))))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(X1,sK5,X2,apply_netmap(X3,X4,sK14(X5,X4,X6,sK15(sK9(the_carrier(sK5)),X4,X3)))))
| ~ element(sK14(X5,X4,X6,sK15(sK9(the_carrier(sK5)),X4,X3)),the_carrier(X4))
| ~ element(sK15(sK9(the_carrier(sK5)),X4,X3),the_carrier(X4))
| sP2(X5,X4,X6)
| ~ sP2(sK9(the_carrier(sK5)),X4,X3)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ net_str(sK5,X0)
| apply_netmap(sK4,sK5,sK12(X1,sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X1,sK5,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1110])]) ).
fof(f1731,plain,
( spl27_233
<=> ! [X4,X0,X3,X2,X1] :
( ~ element(sK14(X0,X1,X2,sK15(sK9(X3),X1,X4)),the_carrier(X1))
| ~ sP2(sK9(X3),X1,X4)
| sP2(X0,X1,X2)
| ~ element(sK15(sK9(X3),X1,X4),the_carrier(X1))
| element(apply_netmap(X4,X1,sK14(X0,X1,X2,sK15(sK9(X3),X1,X4))),X3)
| empty(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_233])]) ).
fof(f2590,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( apply_netmap(X0,sK5,sK13(X1,sK5,X2,apply_netmap(X3,X4,sK14(X5,X4,X6,sK15(sK9(the_carrier(sK5)),X4,X3))))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(X1,sK5,X2,apply_netmap(X3,X4,sK14(X5,X4,X6,sK15(sK9(the_carrier(sK5)),X4,X3)))))
| apply_netmap(sK4,sK5,sK12(X1,sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X1,sK5,X2))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ sP2(sK9(the_carrier(sK5)),X4,X3)
| sP2(X5,X4,X6)
| ~ element(sK15(sK9(the_carrier(sK5)),X4,X3),the_carrier(X4))
| ~ element(sK14(X5,X4,X6,sK15(sK9(the_carrier(sK5)),X4,X3)),the_carrier(X4))
| empty(the_carrier(sK5)) )
| ~ spl27_233
| ~ spl27_308 ),
inference(resolution,[],[f2566,f1732]) ).
fof(f1732,plain,
( ! [X2,X3,X0,X1,X4] :
( element(apply_netmap(X4,X1,sK14(X0,X1,X2,sK15(sK9(X3),X1,X4))),X3)
| ~ sP2(sK9(X3),X1,X4)
| sP2(X0,X1,X2)
| ~ element(sK15(sK9(X3),X1,X4),the_carrier(X1))
| ~ element(sK14(X0,X1,X2,sK15(sK9(X3),X1,X4)),the_carrier(X1))
| empty(X3) )
| ~ spl27_233 ),
inference(avatar_component_clause,[],[f1731]) ).
fof(f17728,plain,
( spl27_290
| spl27_1109
| ~ spl27_232
| ~ spl27_308 ),
inference(avatar_split_clause,[],[f2589,f2565,f1727,f17726,f2337]) ).
fof(f17726,plain,
( spl27_1109
<=> ! [X5,X4,X2,X0,X6,X3,X1] :
( apply_netmap(X0,sK5,sK13(X1,sK5,X2,apply_netmap(X3,X4,sK14(X5,X4,X6,sK15(sK8(the_carrier(sK5)),X4,X3))))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(X1,sK5,X2,apply_netmap(X3,X4,sK14(X5,X4,X6,sK15(sK8(the_carrier(sK5)),X4,X3)))))
| ~ element(sK14(X5,X4,X6,sK15(sK8(the_carrier(sK5)),X4,X3)),the_carrier(X4))
| ~ element(sK15(sK8(the_carrier(sK5)),X4,X3),the_carrier(X4))
| sP2(X5,X4,X6)
| ~ sP2(sK8(the_carrier(sK5)),X4,X3)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ net_str(sK5,X0)
| apply_netmap(sK4,sK5,sK12(X1,sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X1,sK5,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1109])]) ).
fof(f1727,plain,
( spl27_232
<=> ! [X4,X0,X3,X2,X1] :
( ~ element(sK14(X0,X1,X2,sK15(sK8(X3),X1,X4)),the_carrier(X1))
| ~ sP2(sK8(X3),X1,X4)
| sP2(X0,X1,X2)
| ~ element(sK15(sK8(X3),X1,X4),the_carrier(X1))
| element(apply_netmap(X4,X1,sK14(X0,X1,X2,sK15(sK8(X3),X1,X4))),X3)
| empty(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_232])]) ).
fof(f2589,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( apply_netmap(X0,sK5,sK13(X1,sK5,X2,apply_netmap(X3,X4,sK14(X5,X4,X6,sK15(sK8(the_carrier(sK5)),X4,X3))))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(X1,sK5,X2,apply_netmap(X3,X4,sK14(X5,X4,X6,sK15(sK8(the_carrier(sK5)),X4,X3)))))
| apply_netmap(sK4,sK5,sK12(X1,sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X1,sK5,X2))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ sP2(sK8(the_carrier(sK5)),X4,X3)
| sP2(X5,X4,X6)
| ~ element(sK15(sK8(the_carrier(sK5)),X4,X3),the_carrier(X4))
| ~ element(sK14(X5,X4,X6,sK15(sK8(the_carrier(sK5)),X4,X3)),the_carrier(X4))
| empty(the_carrier(sK5)) )
| ~ spl27_232
| ~ spl27_308 ),
inference(resolution,[],[f2566,f1728]) ).
fof(f1728,plain,
( ! [X2,X3,X0,X1,X4] :
( element(apply_netmap(X4,X1,sK14(X0,X1,X2,sK15(sK8(X3),X1,X4))),X3)
| ~ sP2(sK8(X3),X1,X4)
| sP2(X0,X1,X2)
| ~ element(sK15(sK8(X3),X1,X4),the_carrier(X1))
| ~ element(sK14(X0,X1,X2,sK15(sK8(X3),X1,X4)),the_carrier(X1))
| empty(X3) )
| ~ spl27_232 ),
inference(avatar_component_clause,[],[f1727]) ).
fof(f17719,plain,
( spl27_290
| spl27_1108
| ~ spl27_231
| ~ spl27_308 ),
inference(avatar_split_clause,[],[f2586,f2565,f1723,f17717,f2337]) ).
fof(f17717,plain,
( spl27_1108
<=> ! [X5,X4,X2,X0,X6,X3,X1] :
( apply_netmap(X0,sK5,sK13(X1,sK5,X2,apply_netmap(X3,X4,sK13(X5,X4,X6,sK15(sK10(the_carrier(sK5)),X4,X3))))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(X1,sK5,X2,apply_netmap(X3,X4,sK13(X5,X4,X6,sK15(sK10(the_carrier(sK5)),X4,X3)))))
| ~ element(sK13(X5,X4,X6,sK15(sK10(the_carrier(sK5)),X4,X3)),the_carrier(X4))
| ~ sP0(X5,X4,X6)
| ~ element(sK15(sK10(the_carrier(sK5)),X4,X3),the_carrier(X4))
| ~ sP2(sK10(the_carrier(sK5)),X4,X3)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ net_str(sK5,X0)
| apply_netmap(sK4,sK5,sK12(X1,sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X1,sK5,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1108])]) ).
fof(f1723,plain,
( spl27_231
<=> ! [X4,X0,X3,X2,X1] :
( ~ element(sK13(X0,X1,X2,sK15(sK10(X3),X1,X4)),the_carrier(X1))
| ~ sP2(sK10(X3),X1,X4)
| ~ element(sK15(sK10(X3),X1,X4),the_carrier(X1))
| ~ sP0(X0,X1,X2)
| element(apply_netmap(X4,X1,sK13(X0,X1,X2,sK15(sK10(X3),X1,X4))),X3)
| empty(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_231])]) ).
fof(f2586,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( apply_netmap(X0,sK5,sK13(X1,sK5,X2,apply_netmap(X3,X4,sK13(X5,X4,X6,sK15(sK10(the_carrier(sK5)),X4,X3))))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(X1,sK5,X2,apply_netmap(X3,X4,sK13(X5,X4,X6,sK15(sK10(the_carrier(sK5)),X4,X3)))))
| apply_netmap(sK4,sK5,sK12(X1,sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X1,sK5,X2))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ sP2(sK10(the_carrier(sK5)),X4,X3)
| ~ element(sK15(sK10(the_carrier(sK5)),X4,X3),the_carrier(X4))
| ~ sP0(X5,X4,X6)
| ~ element(sK13(X5,X4,X6,sK15(sK10(the_carrier(sK5)),X4,X3)),the_carrier(X4))
| empty(the_carrier(sK5)) )
| ~ spl27_231
| ~ spl27_308 ),
inference(resolution,[],[f2566,f1724]) ).
fof(f1724,plain,
( ! [X2,X3,X0,X1,X4] :
( element(apply_netmap(X4,X1,sK13(X0,X1,X2,sK15(sK10(X3),X1,X4))),X3)
| ~ sP2(sK10(X3),X1,X4)
| ~ element(sK15(sK10(X3),X1,X4),the_carrier(X1))
| ~ sP0(X0,X1,X2)
| ~ element(sK13(X0,X1,X2,sK15(sK10(X3),X1,X4)),the_carrier(X1))
| empty(X3) )
| ~ spl27_231 ),
inference(avatar_component_clause,[],[f1723]) ).
fof(f17713,plain,
( spl27_290
| spl27_1107
| ~ spl27_230
| ~ spl27_308 ),
inference(avatar_split_clause,[],[f2585,f2565,f1719,f17711,f2337]) ).
fof(f17711,plain,
( spl27_1107
<=> ! [X5,X4,X2,X0,X6,X3,X1] :
( apply_netmap(X0,sK5,sK13(X1,sK5,X2,apply_netmap(X3,X4,sK13(X5,X4,X6,sK15(sK9(the_carrier(sK5)),X4,X3))))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(X1,sK5,X2,apply_netmap(X3,X4,sK13(X5,X4,X6,sK15(sK9(the_carrier(sK5)),X4,X3)))))
| ~ element(sK13(X5,X4,X6,sK15(sK9(the_carrier(sK5)),X4,X3)),the_carrier(X4))
| ~ sP0(X5,X4,X6)
| ~ element(sK15(sK9(the_carrier(sK5)),X4,X3),the_carrier(X4))
| ~ sP2(sK9(the_carrier(sK5)),X4,X3)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ net_str(sK5,X0)
| apply_netmap(sK4,sK5,sK12(X1,sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X1,sK5,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1107])]) ).
fof(f1719,plain,
( spl27_230
<=> ! [X4,X0,X3,X2,X1] :
( ~ element(sK13(X0,X1,X2,sK15(sK9(X3),X1,X4)),the_carrier(X1))
| ~ sP2(sK9(X3),X1,X4)
| ~ element(sK15(sK9(X3),X1,X4),the_carrier(X1))
| ~ sP0(X0,X1,X2)
| element(apply_netmap(X4,X1,sK13(X0,X1,X2,sK15(sK9(X3),X1,X4))),X3)
| empty(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_230])]) ).
fof(f2585,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( apply_netmap(X0,sK5,sK13(X1,sK5,X2,apply_netmap(X3,X4,sK13(X5,X4,X6,sK15(sK9(the_carrier(sK5)),X4,X3))))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(X1,sK5,X2,apply_netmap(X3,X4,sK13(X5,X4,X6,sK15(sK9(the_carrier(sK5)),X4,X3)))))
| apply_netmap(sK4,sK5,sK12(X1,sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X1,sK5,X2))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ sP2(sK9(the_carrier(sK5)),X4,X3)
| ~ element(sK15(sK9(the_carrier(sK5)),X4,X3),the_carrier(X4))
| ~ sP0(X5,X4,X6)
| ~ element(sK13(X5,X4,X6,sK15(sK9(the_carrier(sK5)),X4,X3)),the_carrier(X4))
| empty(the_carrier(sK5)) )
| ~ spl27_230
| ~ spl27_308 ),
inference(resolution,[],[f2566,f1720]) ).
fof(f1720,plain,
( ! [X2,X3,X0,X1,X4] :
( element(apply_netmap(X4,X1,sK13(X0,X1,X2,sK15(sK9(X3),X1,X4))),X3)
| ~ sP2(sK9(X3),X1,X4)
| ~ element(sK15(sK9(X3),X1,X4),the_carrier(X1))
| ~ sP0(X0,X1,X2)
| ~ element(sK13(X0,X1,X2,sK15(sK9(X3),X1,X4)),the_carrier(X1))
| empty(X3) )
| ~ spl27_230 ),
inference(avatar_component_clause,[],[f1719]) ).
fof(f17707,plain,
( spl27_290
| spl27_1106
| ~ spl27_229
| ~ spl27_308 ),
inference(avatar_split_clause,[],[f2584,f2565,f1715,f17705,f2337]) ).
fof(f17705,plain,
( spl27_1106
<=> ! [X5,X4,X2,X0,X6,X3,X1] :
( apply_netmap(X0,sK5,sK13(X1,sK5,X2,apply_netmap(X3,X4,sK13(X5,X4,X6,sK15(sK8(the_carrier(sK5)),X4,X3))))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(X1,sK5,X2,apply_netmap(X3,X4,sK13(X5,X4,X6,sK15(sK8(the_carrier(sK5)),X4,X3)))))
| ~ element(sK13(X5,X4,X6,sK15(sK8(the_carrier(sK5)),X4,X3)),the_carrier(X4))
| ~ sP0(X5,X4,X6)
| ~ element(sK15(sK8(the_carrier(sK5)),X4,X3),the_carrier(X4))
| ~ sP2(sK8(the_carrier(sK5)),X4,X3)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ net_str(sK5,X0)
| apply_netmap(sK4,sK5,sK12(X1,sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X1,sK5,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1106])]) ).
fof(f1715,plain,
( spl27_229
<=> ! [X4,X0,X3,X2,X1] :
( ~ element(sK13(X0,X1,X2,sK15(sK8(X3),X1,X4)),the_carrier(X1))
| ~ sP2(sK8(X3),X1,X4)
| ~ element(sK15(sK8(X3),X1,X4),the_carrier(X1))
| ~ sP0(X0,X1,X2)
| element(apply_netmap(X4,X1,sK13(X0,X1,X2,sK15(sK8(X3),X1,X4))),X3)
| empty(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_229])]) ).
fof(f2584,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( apply_netmap(X0,sK5,sK13(X1,sK5,X2,apply_netmap(X3,X4,sK13(X5,X4,X6,sK15(sK8(the_carrier(sK5)),X4,X3))))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(X1,sK5,X2,apply_netmap(X3,X4,sK13(X5,X4,X6,sK15(sK8(the_carrier(sK5)),X4,X3)))))
| apply_netmap(sK4,sK5,sK12(X1,sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X1,sK5,X2))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ sP2(sK8(the_carrier(sK5)),X4,X3)
| ~ element(sK15(sK8(the_carrier(sK5)),X4,X3),the_carrier(X4))
| ~ sP0(X5,X4,X6)
| ~ element(sK13(X5,X4,X6,sK15(sK8(the_carrier(sK5)),X4,X3)),the_carrier(X4))
| empty(the_carrier(sK5)) )
| ~ spl27_229
| ~ spl27_308 ),
inference(resolution,[],[f2566,f1716]) ).
fof(f1716,plain,
( ! [X2,X3,X0,X1,X4] :
( element(apply_netmap(X4,X1,sK13(X0,X1,X2,sK15(sK8(X3),X1,X4))),X3)
| ~ sP2(sK8(X3),X1,X4)
| ~ element(sK15(sK8(X3),X1,X4),the_carrier(X1))
| ~ sP0(X0,X1,X2)
| ~ element(sK13(X0,X1,X2,sK15(sK8(X3),X1,X4)),the_carrier(X1))
| empty(X3) )
| ~ spl27_229 ),
inference(avatar_component_clause,[],[f1715]) ).
fof(f17700,plain,
( spl27_3
| ~ spl27_59
| spl27_1105
| ~ spl27_83
| ~ spl27_338 ),
inference(avatar_split_clause,[],[f2970,f2948,f664,f17698,f524,f244]) ).
fof(f17698,plain,
( spl27_1105
<=> ! [X1,X6,X4,X3,X0,X5,X2,X7] :
( ~ one_sorted_str(X0)
| empty_carrier(X5)
| ~ one_sorted_str(X5)
| ~ function(X6)
| ~ quasi_total(X6,the_carrier(X5),the_carrier(sK5))
| ~ relation_of2(X6,the_carrier(X5),the_carrier(sK5))
| ~ element(X7,the_carrier(X5))
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X4))
| empty_carrier(X2)
| ~ net_str(X2,X0)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,apply_on_structs(X5,sK5,X6,X7))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,apply_on_structs(X5,sK5,X6,X7)))))
| sP2(X1,X2,X3)
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1105])]) ).
fof(f2948,plain,
( spl27_338
<=> ! [X5,X4,X0,X3,X2,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X4,sK5,sK13(the_carrier(X0),sK5,X4,X5)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X4,sK5,sK13(the_carrier(X0),sK5,X4,X5))))
| ~ net_str(X0,X1)
| ~ element(X5,the_carrier(sK5))
| apply_netmap(sK4,sK5,sK12(the_carrier(X0),sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X0),sK5,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_338])]) ).
fof(f2970,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,apply_on_structs(X5,sK5,X6,X7))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,apply_on_structs(X5,sK5,X6,X7)))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X4))
| ~ element(X7,the_carrier(X5))
| ~ relation_of2(X6,the_carrier(X5),the_carrier(sK5))
| ~ quasi_total(X6,the_carrier(X5),the_carrier(sK5))
| ~ function(X6)
| ~ one_sorted_str(sK5)
| empty_carrier(sK5)
| ~ one_sorted_str(X5)
| empty_carrier(X5) )
| ~ spl27_83
| ~ spl27_338 ),
inference(resolution,[],[f2949,f665]) ).
fof(f2949,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ element(X5,the_carrier(sK5))
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X4,sK5,sK13(the_carrier(X0),sK5,X4,X5)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X4,sK5,sK13(the_carrier(X0),sK5,X4,X5))))
| ~ net_str(X0,X1)
| empty_carrier(X0)
| apply_netmap(sK4,sK5,sK12(the_carrier(X0),sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X0),sK5,X4)) )
| ~ spl27_338 ),
inference(avatar_component_clause,[],[f2948]) ).
fof(f17625,plain,
( spl27_1104
| ~ spl27_279
| ~ spl27_538 ),
inference(avatar_split_clause,[],[f5719,f5712,f2232,f17623]) ).
fof(f17623,plain,
( spl27_1104
<=> ! [X2,X6,X4,X0,X7,X5,X3,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X2,X3,apply_netmap(X4,sK5,sK13(sK16(X3),sK5,X4,X5))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X2,X3,apply_netmap(X4,sK5,sK13(sK16(X3),sK5,X4,X5)))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| ~ net_str(X1,X0)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| ~ one_sorted_str(X3)
| ~ element(X5,the_carrier(sK5))
| empty_carrier(X1)
| sP2(X6,sK5,X7)
| apply_netmap(sK4,sK5,sK14(X6,sK5,X7,sK12(sK16(X3),sK5,X4))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X6,sK5,X7,sK12(sK16(X3),sK5,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1104])]) ).
fof(f5712,plain,
( spl27_538
<=> ! [X5,X3,X4,X2,X0,X6,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK13(sK16(X3),X5,X4,X6))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK13(sK16(X3),X5,X4,X6)))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| ~ one_sorted_str(X3)
| ~ element(X6,the_carrier(X5))
| ~ sP0(sK16(X3),X5,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_538])]) ).
fof(f5719,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X2,X3,apply_netmap(X4,sK5,sK13(sK16(X3),sK5,X4,X5))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X2,X3,apply_netmap(X4,sK5,sK13(sK16(X3),sK5,X4,X5)))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| ~ net_str(X1,X0)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| ~ one_sorted_str(X3)
| ~ element(X5,the_carrier(sK5))
| empty_carrier(X1)
| sP2(X6,sK5,X7)
| apply_netmap(sK4,sK5,sK14(X6,sK5,X7,sK12(sK16(X3),sK5,X4))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X6,sK5,X7,sK12(sK16(X3),sK5,X4))) )
| ~ spl27_279
| ~ spl27_538 ),
inference(resolution,[],[f5713,f2233]) ).
fof(f5713,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP0(sK16(X3),X5,X4)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK13(sK16(X3),X5,X4,X6))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK13(sK16(X3),X5,X4,X6)))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| ~ one_sorted_str(X3)
| ~ element(X6,the_carrier(X5))
| empty_carrier(X0) )
| ~ spl27_538 ),
inference(avatar_component_clause,[],[f5712]) ).
fof(f17621,plain,
( spl27_1103
| ~ spl27_62
| ~ spl27_1081 ),
inference(avatar_split_clause,[],[f17188,f17005,f552,f17619]) ).
fof(f17619,plain,
( spl27_1103
<=> ! [X0] :
( apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK6,sK5,X0)) = apply_netmap(sK4,sK5,sK12(sK6,sK5,X0))
| is_often_in(X0,sK5,sK7)
| ~ sP1(X0,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1103])]) ).
fof(f17005,plain,
( spl27_1081
<=> ! [X0] :
( sP0(sK7,sK5,X0)
| apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK6,sK5,X0)) = apply_netmap(sK4,sK5,sK12(sK6,sK5,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1081])]) ).
fof(f17188,plain,
( ! [X0] :
( apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK6,sK5,X0)) = apply_netmap(sK4,sK5,sK12(sK6,sK5,X0))
| is_often_in(X0,sK5,sK7)
| ~ sP1(X0,sK5) )
| ~ spl27_62
| ~ spl27_1081 ),
inference(resolution,[],[f17006,f553]) ).
fof(f17006,plain,
( ! [X0] :
( sP0(sK7,sK5,X0)
| apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK6,sK5,X0)) = apply_netmap(sK4,sK5,sK12(sK6,sK5,X0)) )
| ~ spl27_1081 ),
inference(avatar_component_clause,[],[f17005]) ).
fof(f17617,plain,
( spl27_1102
| ~ spl27_187
| ~ spl27_339 ),
inference(avatar_split_clause,[],[f2999,f2988,f1405,f17615]) ).
fof(f17615,plain,
( spl27_1102
<=> ! [X5,X4,X2,X0,X6,X3,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,apply_netmap(X4,X5,sK13(sK17(powerset(the_carrier(sK5))),X5,X4,X6)))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,apply_netmap(X4,X5,sK13(sK17(powerset(the_carrier(sK5))),X5,X4,X6))))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X3)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X3))
| ~ element(X6,the_carrier(X5))
| ~ sP0(sK17(powerset(the_carrier(sK5))),X5,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1102])]) ).
fof(f2999,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,apply_netmap(X4,X5,sK13(sK17(powerset(the_carrier(sK5))),X5,X4,X6)))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,apply_netmap(X4,X5,sK13(sK17(powerset(the_carrier(sK5))),X5,X4,X6))))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X3)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X3))
| ~ element(X6,the_carrier(X5))
| ~ sP0(sK17(powerset(the_carrier(sK5))),X5,X4) )
| ~ spl27_187
| ~ spl27_339 ),
inference(resolution,[],[f2989,f1406]) ).
fof(f17604,plain,
( spl27_290
| spl27_1101
| ~ spl27_190
| ~ spl27_339 ),
inference(avatar_split_clause,[],[f2998,f2988,f1417,f17602,f2337]) ).
fof(f17602,plain,
( spl27_1101
<=> ! [X2,X6,X4,X0,X5,X3,X1] :
( ~ one_sorted_str(X0)
| ~ sP0(sK10(the_carrier(sK5)),X5,X4)
| ~ element(X6,the_carrier(X5))
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X3)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X3))
| empty_carrier(X1)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X1)
| empty_carrier(X2)
| ~ net_str(X2,X1)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,apply_netmap(X4,X5,sK13(sK10(the_carrier(sK5)),X5,X4,X6)))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,apply_netmap(X4,X5,sK13(sK10(the_carrier(sK5)),X5,X4,X6))))))
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1101])]) ).
fof(f2998,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,apply_netmap(X4,X5,sK13(sK10(the_carrier(sK5)),X5,X4,X6)))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,apply_netmap(X4,X5,sK13(sK10(the_carrier(sK5)),X5,X4,X6))))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X3)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X3))
| empty(the_carrier(sK5))
| ~ element(X6,the_carrier(X5))
| ~ sP0(sK10(the_carrier(sK5)),X5,X4) )
| ~ spl27_190
| ~ spl27_339 ),
inference(resolution,[],[f2989,f1418]) ).
fof(f17591,plain,
( spl27_290
| spl27_1100
| ~ spl27_189
| ~ spl27_339 ),
inference(avatar_split_clause,[],[f2997,f2988,f1413,f17589,f2337]) ).
fof(f17589,plain,
( spl27_1100
<=> ! [X2,X6,X4,X0,X5,X3,X1] :
( ~ one_sorted_str(X0)
| ~ sP0(sK9(the_carrier(sK5)),X5,X4)
| ~ element(X6,the_carrier(X5))
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X3)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X3))
| empty_carrier(X1)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X1)
| empty_carrier(X2)
| ~ net_str(X2,X1)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,apply_netmap(X4,X5,sK13(sK9(the_carrier(sK5)),X5,X4,X6)))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,apply_netmap(X4,X5,sK13(sK9(the_carrier(sK5)),X5,X4,X6))))))
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1100])]) ).
fof(f2997,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,apply_netmap(X4,X5,sK13(sK9(the_carrier(sK5)),X5,X4,X6)))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,apply_netmap(X4,X5,sK13(sK9(the_carrier(sK5)),X5,X4,X6))))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X3)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X3))
| empty(the_carrier(sK5))
| ~ element(X6,the_carrier(X5))
| ~ sP0(sK9(the_carrier(sK5)),X5,X4) )
| ~ spl27_189
| ~ spl27_339 ),
inference(resolution,[],[f2989,f1414]) ).
fof(f17578,plain,
( spl27_290
| spl27_1099
| ~ spl27_188
| ~ spl27_339 ),
inference(avatar_split_clause,[],[f2996,f2988,f1409,f17576,f2337]) ).
fof(f17576,plain,
( spl27_1099
<=> ! [X2,X6,X4,X0,X5,X3,X1] :
( ~ one_sorted_str(X0)
| ~ sP0(sK8(the_carrier(sK5)),X5,X4)
| ~ element(X6,the_carrier(X5))
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X3)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X3))
| empty_carrier(X1)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X1)
| empty_carrier(X2)
| ~ net_str(X2,X1)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,apply_netmap(X4,X5,sK13(sK8(the_carrier(sK5)),X5,X4,X6)))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,apply_netmap(X4,X5,sK13(sK8(the_carrier(sK5)),X5,X4,X6))))))
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1099])]) ).
fof(f2996,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,apply_netmap(X4,X5,sK13(sK8(the_carrier(sK5)),X5,X4,X6)))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,apply_netmap(X4,X5,sK13(sK8(the_carrier(sK5)),X5,X4,X6))))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X3)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X3))
| empty(the_carrier(sK5))
| ~ element(X6,the_carrier(X5))
| ~ sP0(sK8(the_carrier(sK5)),X5,X4) )
| ~ spl27_188
| ~ spl27_339 ),
inference(resolution,[],[f2989,f1410]) ).
fof(f17562,plain,
( spl27_1098
| ~ spl27_95
| ~ spl27_355 ),
inference(avatar_split_clause,[],[f3329,f3292,f760,f17560]) ).
fof(f17560,plain,
( spl27_1098
<=> ! [X0,X3,X2,X1] :
( ~ sP0(sK17(powerset(powerset(X0))),X1,X2)
| ~ empty(X0)
| ~ element(X3,the_carrier(X1))
| empty(apply_netmap(X2,X1,sK13(sK17(powerset(powerset(X0))),X1,X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1098])]) ).
fof(f3292,plain,
( spl27_355
<=> ! [X4,X0,X3,X2,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(sK17(powerset(powerset(X2))),X1,X3)
| ~ empty(X2)
| ~ in(X4,apply_netmap(X3,X1,sK13(sK17(powerset(powerset(X2))),X1,X3,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_355])]) ).
fof(f3329,plain,
( ! [X2,X3,X0,X1] :
( ~ sP0(sK17(powerset(powerset(X0))),X1,X2)
| ~ empty(X0)
| ~ element(X3,the_carrier(X1))
| empty(apply_netmap(X2,X1,sK13(sK17(powerset(powerset(X0))),X1,X2,X3))) )
| ~ spl27_95
| ~ spl27_355 ),
inference(resolution,[],[f3293,f761]) ).
fof(f3293,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ in(X4,apply_netmap(X3,X1,sK13(sK17(powerset(powerset(X2))),X1,X3,X0)))
| ~ sP0(sK17(powerset(powerset(X2))),X1,X3)
| ~ empty(X2)
| ~ element(X0,the_carrier(X1)) )
| ~ spl27_355 ),
inference(avatar_component_clause,[],[f3292]) ).
fof(f17405,plain,
( spl27_1097
| ~ spl27_279
| ~ spl27_535 ),
inference(avatar_split_clause,[],[f5699,f5692,f2232,f17403]) ).
fof(f17403,plain,
( spl27_1097
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,sK14(X3,X2,X4,apply_netmap(X5,sK5,sK13(sK16(X2),sK5,X5,X6))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,sK14(X3,X2,X4,apply_netmap(X5,sK5,sK13(sK16(X2),sK5,X5,X6)))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| sP2(X3,X2,X4)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X2)
| ~ element(X6,the_carrier(sK5))
| empty_carrier(X1)
| sP2(X7,sK5,X8)
| apply_netmap(sK4,sK5,sK14(X7,sK5,X8,sK12(sK16(X2),sK5,X5))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X7,sK5,X8,sK12(sK16(X2),sK5,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1097])]) ).
fof(f5692,plain,
( spl27_535
<=> ! [X2,X6,X4,X3,X0,X5,X1,X7] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK13(sK16(X2),X6,X5,X7))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK13(sK16(X2),X6,X5,X7)))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| ~ one_sorted_str(X2)
| ~ element(X7,the_carrier(X6))
| ~ sP0(sK16(X2),X6,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_535])]) ).
fof(f5699,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,sK14(X3,X2,X4,apply_netmap(X5,sK5,sK13(sK16(X2),sK5,X5,X6))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,sK14(X3,X2,X4,apply_netmap(X5,sK5,sK13(sK16(X2),sK5,X5,X6)))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| sP2(X3,X2,X4)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X2)
| ~ element(X6,the_carrier(sK5))
| empty_carrier(X1)
| sP2(X7,sK5,X8)
| apply_netmap(sK4,sK5,sK14(X7,sK5,X8,sK12(sK16(X2),sK5,X5))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X7,sK5,X8,sK12(sK16(X2),sK5,X5))) )
| ~ spl27_279
| ~ spl27_535 ),
inference(resolution,[],[f5693,f2233]) ).
fof(f5693,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP0(sK16(X2),X6,X5)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK13(sK16(X2),X6,X5,X7))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK13(sK16(X2),X6,X5,X7)))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| ~ one_sorted_str(X2)
| ~ element(X7,the_carrier(X6))
| empty_carrier(X0) )
| ~ spl27_535 ),
inference(avatar_component_clause,[],[f5692]) ).
fof(f17401,plain,
( spl27_1096
| ~ spl27_279
| ~ spl27_534 ),
inference(avatar_split_clause,[],[f5695,f5688,f2232,f17399]) ).
fof(f17399,plain,
( spl27_1096
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X2,X4,apply_netmap(X5,sK5,sK13(sK16(X4),sK5,X5,X6))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X2,X4,apply_netmap(X5,sK5,sK13(sK16(X4),sK5,X5,X6)))))
| ~ net_str(X2,X0)
| ~ net_str(X4,X2)
| empty_carrier(X4)
| ~ one_sorted_str(X2)
| ~ one_sorted_str(X4)
| ~ element(X6,the_carrier(sK5))
| empty_carrier(X2)
| sP2(X7,sK5,X8)
| apply_netmap(sK4,sK5,sK14(X7,sK5,X8,sK12(sK16(X4),sK5,X5))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X7,sK5,X8,sK12(sK16(X4),sK5,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1096])]) ).
fof(f5688,plain,
( spl27_534
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK13(sK16(X4),X6,X5,X7))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK13(sK16(X4),X6,X5,X7)))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| ~ one_sorted_str(X4)
| ~ element(X7,the_carrier(X6))
| ~ sP0(sK16(X4),X6,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_534])]) ).
fof(f5695,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X2,X4,apply_netmap(X5,sK5,sK13(sK16(X4),sK5,X5,X6))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X2,X4,apply_netmap(X5,sK5,sK13(sK16(X4),sK5,X5,X6)))))
| ~ net_str(X2,X0)
| ~ net_str(X4,X2)
| empty_carrier(X4)
| ~ one_sorted_str(X2)
| ~ one_sorted_str(X4)
| ~ element(X6,the_carrier(sK5))
| empty_carrier(X2)
| sP2(X7,sK5,X8)
| apply_netmap(sK4,sK5,sK14(X7,sK5,X8,sK12(sK16(X4),sK5,X5))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X7,sK5,X8,sK12(sK16(X4),sK5,X5))) )
| ~ spl27_279
| ~ spl27_534 ),
inference(resolution,[],[f5689,f2233]) ).
fof(f5689,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP0(sK16(X4),X6,X5)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK13(sK16(X4),X6,X5,X7))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK13(sK16(X4),X6,X5,X7)))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| ~ one_sorted_str(X4)
| ~ element(X7,the_carrier(X6))
| empty_carrier(X0) )
| ~ spl27_534 ),
inference(avatar_component_clause,[],[f5688]) ).
fof(f17397,plain,
( spl27_1095
| ~ spl27_187
| ~ spl27_338 ),
inference(avatar_split_clause,[],[f2959,f2948,f1405,f17395]) ).
fof(f17395,plain,
( spl27_1095
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,apply_netmap(X5,X6,sK13(sK17(powerset(the_carrier(sK5))),X6,X5,X7)))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,apply_netmap(X5,X6,sK13(sK17(powerset(the_carrier(sK5))),X6,X5,X7))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X4))
| ~ element(X7,the_carrier(X6))
| ~ sP0(sK17(powerset(the_carrier(sK5))),X6,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1095])]) ).
fof(f2959,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,apply_netmap(X5,X6,sK13(sK17(powerset(the_carrier(sK5))),X6,X5,X7)))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,apply_netmap(X5,X6,sK13(sK17(powerset(the_carrier(sK5))),X6,X5,X7))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X4))
| ~ element(X7,the_carrier(X6))
| ~ sP0(sK17(powerset(the_carrier(sK5))),X6,X5) )
| ~ spl27_187
| ~ spl27_338 ),
inference(resolution,[],[f2949,f1406]) ).
fof(f17384,plain,
( spl27_290
| spl27_1094
| ~ spl27_190
| ~ spl27_338 ),
inference(avatar_split_clause,[],[f2958,f2948,f1417,f17382,f2337]) ).
fof(f17382,plain,
( spl27_1094
<=> ! [X1,X6,X4,X3,X0,X5,X2,X7] :
( ~ one_sorted_str(X0)
| ~ sP0(sK10(the_carrier(sK5)),X6,X5)
| ~ element(X7,the_carrier(X6))
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X4))
| empty_carrier(X2)
| ~ net_str(X2,X0)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,apply_netmap(X5,X6,sK13(sK10(the_carrier(sK5)),X6,X5,X7)))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,apply_netmap(X5,X6,sK13(sK10(the_carrier(sK5)),X6,X5,X7))))))
| sP2(X1,X2,X3)
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1094])]) ).
fof(f2958,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,apply_netmap(X5,X6,sK13(sK10(the_carrier(sK5)),X6,X5,X7)))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,apply_netmap(X5,X6,sK13(sK10(the_carrier(sK5)),X6,X5,X7))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X4))
| empty(the_carrier(sK5))
| ~ element(X7,the_carrier(X6))
| ~ sP0(sK10(the_carrier(sK5)),X6,X5) )
| ~ spl27_190
| ~ spl27_338 ),
inference(resolution,[],[f2949,f1418]) ).
fof(f17371,plain,
( spl27_290
| spl27_1093
| ~ spl27_189
| ~ spl27_338 ),
inference(avatar_split_clause,[],[f2957,f2948,f1413,f17369,f2337]) ).
fof(f17369,plain,
( spl27_1093
<=> ! [X1,X6,X4,X3,X0,X5,X2,X7] :
( ~ one_sorted_str(X0)
| ~ sP0(sK9(the_carrier(sK5)),X6,X5)
| ~ element(X7,the_carrier(X6))
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X4))
| empty_carrier(X2)
| ~ net_str(X2,X0)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,apply_netmap(X5,X6,sK13(sK9(the_carrier(sK5)),X6,X5,X7)))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,apply_netmap(X5,X6,sK13(sK9(the_carrier(sK5)),X6,X5,X7))))))
| sP2(X1,X2,X3)
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1093])]) ).
fof(f2957,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,apply_netmap(X5,X6,sK13(sK9(the_carrier(sK5)),X6,X5,X7)))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,apply_netmap(X5,X6,sK13(sK9(the_carrier(sK5)),X6,X5,X7))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X4))
| empty(the_carrier(sK5))
| ~ element(X7,the_carrier(X6))
| ~ sP0(sK9(the_carrier(sK5)),X6,X5) )
| ~ spl27_189
| ~ spl27_338 ),
inference(resolution,[],[f2949,f1414]) ).
fof(f17358,plain,
( spl27_1092
| ~ spl27_909
| ~ spl27_1070 ),
inference(avatar_split_clause,[],[f16883,f16722,f10806,f17356]) ).
fof(f17356,plain,
( spl27_1092
<=> ! [X0] :
( sP0(sK7,sK5,X0)
| apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK6,sK5,X0)) = apply(the_mapping(sK4,sK5),sK12(sK6,sK5,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1092])]) ).
fof(f10806,plain,
( spl27_909
<=> ! [X0,X1] :
( apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1)) = apply(the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| sP0(X0,sK5,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_909])]) ).
fof(f16883,plain,
( ! [X0] :
( sP0(sK7,sK5,X0)
| apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK6,sK5,X0)) = apply(the_mapping(sK4,sK5),sK12(sK6,sK5,X0)) )
| ~ spl27_909
| ~ spl27_1070 ),
inference(resolution,[],[f16723,f10807]) ).
fof(f10807,plain,
( ! [X0,X1] :
( sP0(X0,sK5,X1)
| apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1)) = apply(the_mapping(sK4,sK5),sK12(X0,sK5,X1)) )
| ~ spl27_909 ),
inference(avatar_component_clause,[],[f10806]) ).
fof(f17354,plain,
( spl27_290
| spl27_1091
| ~ spl27_188
| ~ spl27_338 ),
inference(avatar_split_clause,[],[f2956,f2948,f1409,f17352,f2337]) ).
fof(f17352,plain,
( spl27_1091
<=> ! [X1,X6,X4,X3,X0,X5,X2,X7] :
( ~ one_sorted_str(X0)
| ~ sP0(sK8(the_carrier(sK5)),X6,X5)
| ~ element(X7,the_carrier(X6))
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X4))
| empty_carrier(X2)
| ~ net_str(X2,X0)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,apply_netmap(X5,X6,sK13(sK8(the_carrier(sK5)),X6,X5,X7)))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,apply_netmap(X5,X6,sK13(sK8(the_carrier(sK5)),X6,X5,X7))))))
| sP2(X1,X2,X3)
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1091])]) ).
fof(f2956,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,apply_netmap(X5,X6,sK13(sK8(the_carrier(sK5)),X6,X5,X7)))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,apply_netmap(X5,X6,sK13(sK8(the_carrier(sK5)),X6,X5,X7))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X4))
| empty(the_carrier(sK5))
| ~ element(X7,the_carrier(X6))
| ~ sP0(sK8(the_carrier(sK5)),X6,X5) )
| ~ spl27_188
| ~ spl27_338 ),
inference(resolution,[],[f2949,f1410]) ).
fof(f17348,plain,
( spl27_3
| ~ spl27_59
| spl27_1090
| ~ spl27_242
| ~ spl27_308 ),
inference(avatar_split_clause,[],[f2577,f2565,f1839,f17346,f524,f244]) ).
fof(f17346,plain,
( spl27_1090
<=> ! [X5,X4,X2,X0,X6,X3,X1] :
( apply_netmap(X0,sK5,sK13(X1,sK5,X2,apply_netmap(X3,X4,sK14(X5,X4,X6,sK15(sK16(sK5),X4,X3))))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(X1,sK5,X2,apply_netmap(X3,X4,sK14(X5,X4,X6,sK15(sK16(sK5),X4,X3)))))
| ~ element(sK14(X5,X4,X6,sK15(sK16(sK5),X4,X3)),the_carrier(X4))
| ~ element(sK15(sK16(sK5),X4,X3),the_carrier(X4))
| sP2(X5,X4,X6)
| ~ sP2(sK16(sK5),X4,X3)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ net_str(sK5,X0)
| apply_netmap(sK4,sK5,sK12(X1,sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X1,sK5,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1090])]) ).
fof(f1839,plain,
( spl27_242
<=> ! [X4,X0,X3,X2,X1] :
( ~ element(sK14(X0,X1,X2,sK15(sK16(X3),X1,X4)),the_carrier(X1))
| ~ sP2(sK16(X3),X1,X4)
| sP2(X0,X1,X2)
| ~ element(sK15(sK16(X3),X1,X4),the_carrier(X1))
| element(apply_netmap(X4,X1,sK14(X0,X1,X2,sK15(sK16(X3),X1,X4))),the_carrier(X3))
| ~ one_sorted_str(X3)
| empty_carrier(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_242])]) ).
fof(f2577,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( apply_netmap(X0,sK5,sK13(X1,sK5,X2,apply_netmap(X3,X4,sK14(X5,X4,X6,sK15(sK16(sK5),X4,X3))))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(X1,sK5,X2,apply_netmap(X3,X4,sK14(X5,X4,X6,sK15(sK16(sK5),X4,X3)))))
| apply_netmap(sK4,sK5,sK12(X1,sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X1,sK5,X2))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ sP2(sK16(sK5),X4,X3)
| sP2(X5,X4,X6)
| ~ element(sK15(sK16(sK5),X4,X3),the_carrier(X4))
| ~ element(sK14(X5,X4,X6,sK15(sK16(sK5),X4,X3)),the_carrier(X4))
| ~ one_sorted_str(sK5)
| empty_carrier(sK5) )
| ~ spl27_242
| ~ spl27_308 ),
inference(resolution,[],[f2566,f1840]) ).
fof(f1840,plain,
( ! [X2,X3,X0,X1,X4] :
( element(apply_netmap(X4,X1,sK14(X0,X1,X2,sK15(sK16(X3),X1,X4))),the_carrier(X3))
| ~ sP2(sK16(X3),X1,X4)
| sP2(X0,X1,X2)
| ~ element(sK15(sK16(X3),X1,X4),the_carrier(X1))
| ~ element(sK14(X0,X1,X2,sK15(sK16(X3),X1,X4)),the_carrier(X1))
| ~ one_sorted_str(X3)
| empty_carrier(X3) )
| ~ spl27_242 ),
inference(avatar_component_clause,[],[f1839]) ).
fof(f17342,plain,
( spl27_3
| ~ spl27_59
| spl27_1089
| ~ spl27_241
| ~ spl27_308 ),
inference(avatar_split_clause,[],[f2576,f2565,f1835,f17340,f524,f244]) ).
fof(f17340,plain,
( spl27_1089
<=> ! [X5,X4,X2,X0,X6,X3,X1] :
( apply_netmap(X0,sK5,sK13(X1,sK5,X2,apply_netmap(X3,X4,sK13(X5,X4,X6,sK15(sK16(sK5),X4,X3))))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(X1,sK5,X2,apply_netmap(X3,X4,sK13(X5,X4,X6,sK15(sK16(sK5),X4,X3)))))
| ~ element(sK13(X5,X4,X6,sK15(sK16(sK5),X4,X3)),the_carrier(X4))
| ~ sP0(X5,X4,X6)
| ~ element(sK15(sK16(sK5),X4,X3),the_carrier(X4))
| ~ sP2(sK16(sK5),X4,X3)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ net_str(sK5,X0)
| apply_netmap(sK4,sK5,sK12(X1,sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X1,sK5,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1089])]) ).
fof(f1835,plain,
( spl27_241
<=> ! [X4,X0,X3,X2,X1] :
( ~ element(sK13(X0,X1,X2,sK15(sK16(X3),X1,X4)),the_carrier(X1))
| ~ sP2(sK16(X3),X1,X4)
| ~ element(sK15(sK16(X3),X1,X4),the_carrier(X1))
| ~ sP0(X0,X1,X2)
| element(apply_netmap(X4,X1,sK13(X0,X1,X2,sK15(sK16(X3),X1,X4))),the_carrier(X3))
| ~ one_sorted_str(X3)
| empty_carrier(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_241])]) ).
fof(f2576,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( apply_netmap(X0,sK5,sK13(X1,sK5,X2,apply_netmap(X3,X4,sK13(X5,X4,X6,sK15(sK16(sK5),X4,X3))))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(X1,sK5,X2,apply_netmap(X3,X4,sK13(X5,X4,X6,sK15(sK16(sK5),X4,X3)))))
| apply_netmap(sK4,sK5,sK12(X1,sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X1,sK5,X2))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ sP2(sK16(sK5),X4,X3)
| ~ element(sK15(sK16(sK5),X4,X3),the_carrier(X4))
| ~ sP0(X5,X4,X6)
| ~ element(sK13(X5,X4,X6,sK15(sK16(sK5),X4,X3)),the_carrier(X4))
| ~ one_sorted_str(sK5)
| empty_carrier(sK5) )
| ~ spl27_241
| ~ spl27_308 ),
inference(resolution,[],[f2566,f1836]) ).
fof(f1836,plain,
( ! [X2,X3,X0,X1,X4] :
( element(apply_netmap(X4,X1,sK13(X0,X1,X2,sK15(sK16(X3),X1,X4))),the_carrier(X3))
| ~ sP2(sK16(X3),X1,X4)
| ~ element(sK15(sK16(X3),X1,X4),the_carrier(X1))
| ~ sP0(X0,X1,X2)
| ~ element(sK13(X0,X1,X2,sK15(sK16(X3),X1,X4)),the_carrier(X1))
| ~ one_sorted_str(X3)
| empty_carrier(X3) )
| ~ spl27_241 ),
inference(avatar_component_clause,[],[f1835]) ).
fof(f17205,plain,
( spl27_1088
| ~ spl27_279
| ~ spl27_531 ),
inference(avatar_split_clause,[],[f5683,f5664,f2232,f17203]) ).
fof(f17203,plain,
( spl27_1088
<=> ! [X2,X6,X4,X0,X7,X5,X3,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X3),sK5,X4,X5))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X3),sK5,X4,X5)))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| ~ net_str(X1,X0)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| empty_carrier(X1)
| ~ element(X5,the_carrier(sK5))
| sP2(X6,sK5,X7)
| apply_netmap(sK4,sK5,sK14(X6,sK5,X7,sK12(the_carrier(X3),sK5,X4))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X6,sK5,X7,sK12(the_carrier(X3),sK5,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1088])]) ).
fof(f5664,plain,
( spl27_531
<=> ! [X5,X3,X4,X2,X0,X6,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK13(the_carrier(X3),X5,X4,X6))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK13(the_carrier(X3),X5,X4,X6)))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| ~ sP0(the_carrier(X3),X5,X4)
| ~ element(X6,the_carrier(X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_531])]) ).
fof(f5683,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X3),sK5,X4,X5))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X3),sK5,X4,X5)))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| ~ net_str(X1,X0)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| empty_carrier(X1)
| ~ element(X5,the_carrier(sK5))
| sP2(X6,sK5,X7)
| apply_netmap(sK4,sK5,sK14(X6,sK5,X7,sK12(the_carrier(X3),sK5,X4))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X6,sK5,X7,sK12(the_carrier(X3),sK5,X4))) )
| ~ spl27_279
| ~ spl27_531 ),
inference(resolution,[],[f5665,f2233]) ).
fof(f5665,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP0(the_carrier(X3),X5,X4)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK13(the_carrier(X3),X5,X4,X6))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK13(the_carrier(X3),X5,X4,X6)))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| empty_carrier(X0)
| ~ element(X6,the_carrier(X5)) )
| ~ spl27_531 ),
inference(avatar_component_clause,[],[f5664]) ).
fof(f17201,plain,
( spl27_1087
| ~ spl27_279
| ~ spl27_530 ),
inference(avatar_split_clause,[],[f5671,f5660,f2232,f17199]) ).
fof(f17199,plain,
( spl27_1087
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,sK14(X4,X2,X5,apply_netmap(X6,sK5,sK13(sK16(X2),sK5,X6,X7))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,sK14(X4,X2,X5,apply_netmap(X6,sK5,sK13(sK16(X2),sK5,X6,X7)))))
| sP2(X4,X2,X5)
| ~ net_str(X2,X0)
| ~ one_sorted_str(X2)
| ~ element(X7,the_carrier(sK5))
| empty_carrier(X2)
| sP2(X8,sK5,X9)
| apply_netmap(sK4,sK5,sK14(X8,sK5,X9,sK12(sK16(X2),sK5,X6))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X8,sK5,X9,sK12(sK16(X2),sK5,X6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1087])]) ).
fof(f5660,plain,
( spl27_530
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK13(sK16(X0),X7,X6,X8))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK13(sK16(X0),X7,X6,X8)))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| ~ one_sorted_str(X0)
| ~ element(X8,the_carrier(X7))
| ~ sP0(sK16(X0),X7,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_530])]) ).
fof(f5671,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,sK14(X4,X2,X5,apply_netmap(X6,sK5,sK13(sK16(X2),sK5,X6,X7))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,sK14(X4,X2,X5,apply_netmap(X6,sK5,sK13(sK16(X2),sK5,X6,X7)))))
| sP2(X4,X2,X5)
| ~ net_str(X2,X0)
| ~ one_sorted_str(X2)
| ~ element(X7,the_carrier(sK5))
| empty_carrier(X2)
| sP2(X8,sK5,X9)
| apply_netmap(sK4,sK5,sK14(X8,sK5,X9,sK12(sK16(X2),sK5,X6))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X8,sK5,X9,sK12(sK16(X2),sK5,X6))) )
| ~ spl27_279
| ~ spl27_530 ),
inference(resolution,[],[f5661,f2233]) ).
fof(f5661,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ sP0(sK16(X0),X7,X6)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK13(sK16(X0),X7,X6,X8))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK13(sK16(X0),X7,X6,X8)))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| ~ one_sorted_str(X0)
| ~ element(X8,the_carrier(X7))
| empty_carrier(X0) )
| ~ spl27_530 ),
inference(avatar_component_clause,[],[f5660]) ).
fof(f17178,plain,
( spl27_1086
| ~ spl27_330
| ~ spl27_373 ),
inference(avatar_split_clause,[],[f3519,f3501,f2848,f17176]) ).
fof(f17176,plain,
( spl27_1086
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(powerset(the_carrier(sK5)),X1,X2)
| empty(apply_netmap(X2,X1,sK13(powerset(the_carrier(sK5)),X1,X2,X0)))
| apply_netmap(sK4,sK5,sK12(X3,sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X3,sK5,X4))
| ~ net_str(X5,X6)
| empty_carrier(X5)
| ~ one_sorted_str(X5)
| ~ net_str(sK5,X5)
| apply_netmap(X6,X5,apply_netmap(X5,sK5,sK13(X3,sK5,X4,sK17(apply_netmap(X2,X1,sK13(powerset(the_carrier(sK5)),X1,X2,X0)))))) = apply_on_structs(X5,X6,the_mapping(X6,X5),apply_netmap(X5,sK5,sK13(X3,sK5,X4,sK17(apply_netmap(X2,X1,sK13(powerset(the_carrier(sK5)),X1,X2,X0))))))
| ~ one_sorted_str(X6)
| empty_carrier(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1086])]) ).
fof(f2848,plain,
( spl27_330
<=> ! [X4,X0,X3,X2,X1] :
( empty_carrier(X0)
| apply_netmap(sK4,sK5,sK12(X2,sK5,X3)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X2,sK5,X3))
| ~ net_str(X0,X1)
| ~ element(X4,the_carrier(sK5))
| ~ one_sorted_str(X0)
| ~ net_str(sK5,X0)
| apply_netmap(X1,X0,apply_netmap(X0,sK5,sK13(X2,sK5,X3,X4))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,sK5,sK13(X2,sK5,X3,X4)))
| ~ one_sorted_str(X1)
| empty_carrier(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_330])]) ).
fof(f3501,plain,
( spl27_373
<=> ! [X0,X3,X2,X1] :
( ~ element(X0,the_carrier(X1))
| element(sK17(apply_netmap(X2,X1,sK13(powerset(X3),X1,X2,X0))),X3)
| ~ sP0(powerset(X3),X1,X2)
| empty(apply_netmap(X2,X1,sK13(powerset(X3),X1,X2,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_373])]) ).
fof(f3519,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(powerset(the_carrier(sK5)),X1,X2)
| empty(apply_netmap(X2,X1,sK13(powerset(the_carrier(sK5)),X1,X2,X0)))
| apply_netmap(sK4,sK5,sK12(X3,sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X3,sK5,X4))
| ~ net_str(X5,X6)
| empty_carrier(X5)
| ~ one_sorted_str(X5)
| ~ net_str(sK5,X5)
| apply_netmap(X6,X5,apply_netmap(X5,sK5,sK13(X3,sK5,X4,sK17(apply_netmap(X2,X1,sK13(powerset(the_carrier(sK5)),X1,X2,X0)))))) = apply_on_structs(X5,X6,the_mapping(X6,X5),apply_netmap(X5,sK5,sK13(X3,sK5,X4,sK17(apply_netmap(X2,X1,sK13(powerset(the_carrier(sK5)),X1,X2,X0))))))
| ~ one_sorted_str(X6)
| empty_carrier(X6) )
| ~ spl27_330
| ~ spl27_373 ),
inference(resolution,[],[f3502,f2849]) ).
fof(f2849,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ element(X4,the_carrier(sK5))
| apply_netmap(sK4,sK5,sK12(X2,sK5,X3)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X2,sK5,X3))
| ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ net_str(sK5,X0)
| apply_netmap(X1,X0,apply_netmap(X0,sK5,sK13(X2,sK5,X3,X4))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,sK5,sK13(X2,sK5,X3,X4)))
| ~ one_sorted_str(X1)
| empty_carrier(X1) )
| ~ spl27_330 ),
inference(avatar_component_clause,[],[f2848]) ).
fof(f3502,plain,
( ! [X2,X3,X0,X1] :
( element(sK17(apply_netmap(X2,X1,sK13(powerset(X3),X1,X2,X0))),X3)
| ~ element(X0,the_carrier(X1))
| ~ sP0(powerset(X3),X1,X2)
| empty(apply_netmap(X2,X1,sK13(powerset(X3),X1,X2,X0))) )
| ~ spl27_373 ),
inference(avatar_component_clause,[],[f3501]) ).
fof(f17165,plain,
( spl27_3
| ~ spl27_59
| spl27_1085
| ~ spl27_195
| ~ spl27_339 ),
inference(avatar_split_clause,[],[f2992,f2988,f1481,f17163,f524,f244]) ).
fof(f17163,plain,
( spl27_1085
<=> ! [X2,X6,X4,X0,X5,X3,X1] :
( ~ one_sorted_str(X0)
| ~ sP0(sK16(sK5),X5,X4)
| ~ element(X6,the_carrier(X5))
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X3)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X3))
| empty_carrier(X1)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X1)
| empty_carrier(X2)
| ~ net_str(X2,X1)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,apply_netmap(X4,X5,sK13(sK16(sK5),X5,X4,X6)))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,apply_netmap(X4,X5,sK13(sK16(sK5),X5,X4,X6))))))
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1085])]) ).
fof(f2992,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,apply_netmap(X4,X5,sK13(sK16(sK5),X5,X4,X6)))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,apply_netmap(X4,X5,sK13(sK16(sK5),X5,X4,X6))))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X3)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X3))
| ~ one_sorted_str(sK5)
| empty_carrier(sK5)
| ~ element(X6,the_carrier(X5))
| ~ sP0(sK16(sK5),X5,X4) )
| ~ spl27_195
| ~ spl27_339 ),
inference(resolution,[],[f2989,f1482]) ).
fof(f17019,plain,
( spl27_1084
| ~ spl27_279
| ~ spl27_526 ),
inference(avatar_split_clause,[],[f5644,f5633,f2232,f17017]) ).
fof(f17017,plain,
( spl27_1084
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,sK14(X3,X2,X4,apply_netmap(X5,sK5,sK13(the_carrier(X2),sK5,X5,X6))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,sK14(X3,X2,X4,apply_netmap(X5,sK5,sK13(the_carrier(X2),sK5,X5,X6)))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| sP2(X3,X2,X4)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ element(X6,the_carrier(sK5))
| sP2(X7,sK5,X8)
| apply_netmap(sK4,sK5,sK14(X7,sK5,X8,sK12(the_carrier(X2),sK5,X5))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X7,sK5,X8,sK12(the_carrier(X2),sK5,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1084])]) ).
fof(f5633,plain,
( spl27_526
<=> ! [X2,X6,X4,X3,X0,X5,X1,X7] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK13(the_carrier(X2),X6,X5,X7))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK13(the_carrier(X2),X6,X5,X7)))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| ~ sP0(the_carrier(X2),X6,X5)
| ~ element(X7,the_carrier(X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_526])]) ).
fof(f5644,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,sK14(X3,X2,X4,apply_netmap(X5,sK5,sK13(the_carrier(X2),sK5,X5,X6))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,sK14(X3,X2,X4,apply_netmap(X5,sK5,sK13(the_carrier(X2),sK5,X5,X6)))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| sP2(X3,X2,X4)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ element(X6,the_carrier(sK5))
| sP2(X7,sK5,X8)
| apply_netmap(sK4,sK5,sK14(X7,sK5,X8,sK12(the_carrier(X2),sK5,X5))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X7,sK5,X8,sK12(the_carrier(X2),sK5,X5))) )
| ~ spl27_279
| ~ spl27_526 ),
inference(resolution,[],[f5634,f2233]) ).
fof(f5634,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP0(the_carrier(X2),X6,X5)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK13(the_carrier(X2),X6,X5,X7))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK13(the_carrier(X2),X6,X5,X7)))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ element(X7,the_carrier(X6)) )
| ~ spl27_526 ),
inference(avatar_component_clause,[],[f5633]) ).
fof(f17015,plain,
( spl27_1083
| ~ spl27_279
| ~ spl27_525 ),
inference(avatar_split_clause,[],[f5640,f5629,f2232,f17013]) ).
fof(f17013,plain,
( spl27_1083
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X2,X4,apply_netmap(X5,sK5,sK13(the_carrier(X4),sK5,X5,X6))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X2,X4,apply_netmap(X5,sK5,sK13(the_carrier(X4),sK5,X5,X6)))))
| ~ net_str(X2,X0)
| ~ net_str(X4,X2)
| empty_carrier(X4)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| ~ element(X6,the_carrier(sK5))
| sP2(X7,sK5,X8)
| apply_netmap(sK4,sK5,sK14(X7,sK5,X8,sK12(the_carrier(X4),sK5,X5))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X7,sK5,X8,sK12(the_carrier(X4),sK5,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1083])]) ).
fof(f5629,plain,
( spl27_525
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK13(the_carrier(X4),X6,X5,X7))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK13(the_carrier(X4),X6,X5,X7)))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| ~ sP0(the_carrier(X4),X6,X5)
| ~ element(X7,the_carrier(X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_525])]) ).
fof(f5640,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X2,X4,apply_netmap(X5,sK5,sK13(the_carrier(X4),sK5,X5,X6))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X2,X4,apply_netmap(X5,sK5,sK13(the_carrier(X4),sK5,X5,X6)))))
| ~ net_str(X2,X0)
| ~ net_str(X4,X2)
| empty_carrier(X4)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| ~ element(X6,the_carrier(sK5))
| sP2(X7,sK5,X8)
| apply_netmap(sK4,sK5,sK14(X7,sK5,X8,sK12(the_carrier(X4),sK5,X5))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X7,sK5,X8,sK12(the_carrier(X4),sK5,X5))) )
| ~ spl27_279
| ~ spl27_525 ),
inference(resolution,[],[f5630,f2233]) ).
fof(f5630,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP0(the_carrier(X4),X6,X5)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK13(the_carrier(X4),X6,X5,X7))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK13(the_carrier(X4),X6,X5,X7)))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ element(X7,the_carrier(X6)) )
| ~ spl27_525 ),
inference(avatar_component_clause,[],[f5629]) ).
fof(f17011,plain,
( spl27_1082
| ~ spl27_328
| ~ spl27_373 ),
inference(avatar_split_clause,[],[f3518,f3501,f2802,f17009]) ).
fof(f17009,plain,
( spl27_1082
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(powerset(the_carrier(sK5)),X1,X2)
| empty(apply_netmap(X2,X1,sK13(powerset(the_carrier(sK5)),X1,X2,X0)))
| apply_netmap(sK4,sK5,sK12(X3,sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X3,sK5,X4))
| ~ net_str(sK5,X5)
| ~ one_sorted_str(X5)
| apply_netmap(X5,sK5,sK14(X6,sK5,X7,sK13(X3,sK5,X4,sK17(apply_netmap(X2,X1,sK13(powerset(the_carrier(sK5)),X1,X2,X0)))))) = apply_on_structs(sK5,X5,the_mapping(X5,sK5),sK14(X6,sK5,X7,sK13(X3,sK5,X4,sK17(apply_netmap(X2,X1,sK13(powerset(the_carrier(sK5)),X1,X2,X0))))))
| sP2(X6,sK5,X7)
| empty_carrier(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1082])]) ).
fof(f3518,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(powerset(the_carrier(sK5)),X1,X2)
| empty(apply_netmap(X2,X1,sK13(powerset(the_carrier(sK5)),X1,X2,X0)))
| apply_netmap(sK4,sK5,sK12(X3,sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X3,sK5,X4))
| ~ net_str(sK5,X5)
| ~ one_sorted_str(X5)
| apply_netmap(X5,sK5,sK14(X6,sK5,X7,sK13(X3,sK5,X4,sK17(apply_netmap(X2,X1,sK13(powerset(the_carrier(sK5)),X1,X2,X0)))))) = apply_on_structs(sK5,X5,the_mapping(X5,sK5),sK14(X6,sK5,X7,sK13(X3,sK5,X4,sK17(apply_netmap(X2,X1,sK13(powerset(the_carrier(sK5)),X1,X2,X0))))))
| sP2(X6,sK5,X7)
| empty_carrier(X5) )
| ~ spl27_328
| ~ spl27_373 ),
inference(resolution,[],[f3502,f2803]) ).
fof(f17007,plain,
( spl27_1081
| ~ spl27_155
| ~ spl27_1070 ),
inference(avatar_split_clause,[],[f16888,f16722,f1177,f17005]) ).
fof(f1177,plain,
( spl27_155
<=> ! [X0,X1] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| sP0(X0,sK5,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_155])]) ).
fof(f16888,plain,
( ! [X0] :
( sP0(sK7,sK5,X0)
| apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK6,sK5,X0)) = apply_netmap(sK4,sK5,sK12(sK6,sK5,X0)) )
| ~ spl27_155
| ~ spl27_1070 ),
inference(resolution,[],[f16723,f1178]) ).
fof(f1178,plain,
( ! [X0,X1] :
( sP0(X0,sK5,X1)
| apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1)) )
| ~ spl27_155 ),
inference(avatar_component_clause,[],[f1177]) ).
fof(f17003,plain,
( spl27_1080
| ~ spl27_327
| ~ spl27_373 ),
inference(avatar_split_clause,[],[f3517,f3501,f2762,f17001]) ).
fof(f17001,plain,
( spl27_1080
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(powerset(the_carrier(sK5)),X1,X2)
| empty(apply_netmap(X2,X1,sK13(powerset(the_carrier(sK5)),X1,X2,X0)))
| apply_netmap(X3,X4,apply_netmap(X5,sK5,sK13(the_carrier(X4),sK5,X5,sK17(apply_netmap(X2,X1,sK13(powerset(the_carrier(sK5)),X1,X2,X0)))))) = apply_on_structs(X4,X3,the_mapping(X3,X4),apply_netmap(X5,sK5,sK13(the_carrier(X4),sK5,X5,sK17(apply_netmap(X2,X1,sK13(powerset(the_carrier(sK5)),X1,X2,X0))))))
| ~ net_str(X4,X3)
| empty_carrier(X4)
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| apply_netmap(sK4,sK5,sK12(the_carrier(X4),sK5,X5)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X4),sK5,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1080])]) ).
fof(f3517,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(powerset(the_carrier(sK5)),X1,X2)
| empty(apply_netmap(X2,X1,sK13(powerset(the_carrier(sK5)),X1,X2,X0)))
| apply_netmap(X3,X4,apply_netmap(X5,sK5,sK13(the_carrier(X4),sK5,X5,sK17(apply_netmap(X2,X1,sK13(powerset(the_carrier(sK5)),X1,X2,X0)))))) = apply_on_structs(X4,X3,the_mapping(X3,X4),apply_netmap(X5,sK5,sK13(the_carrier(X4),sK5,X5,sK17(apply_netmap(X2,X1,sK13(powerset(the_carrier(sK5)),X1,X2,X0))))))
| ~ net_str(X4,X3)
| empty_carrier(X4)
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| apply_netmap(sK4,sK5,sK12(the_carrier(X4),sK5,X5)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X4),sK5,X5)) )
| ~ spl27_327
| ~ spl27_373 ),
inference(resolution,[],[f3502,f2763]) ).
fof(f16990,plain,
( spl27_3
| ~ spl27_59
| spl27_1079
| ~ spl27_195
| ~ spl27_338 ),
inference(avatar_split_clause,[],[f2952,f2948,f1481,f16988,f524,f244]) ).
fof(f16988,plain,
( spl27_1079
<=> ! [X1,X6,X4,X3,X0,X5,X2,X7] :
( ~ one_sorted_str(X0)
| ~ sP0(sK16(sK5),X6,X5)
| ~ element(X7,the_carrier(X6))
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X4))
| empty_carrier(X2)
| ~ net_str(X2,X0)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,apply_netmap(X5,X6,sK13(sK16(sK5),X6,X5,X7)))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,apply_netmap(X5,X6,sK13(sK16(sK5),X6,X5,X7))))))
| sP2(X1,X2,X3)
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1079])]) ).
fof(f2952,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,apply_netmap(X5,X6,sK13(sK16(sK5),X6,X5,X7)))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,apply_netmap(X5,X6,sK13(sK16(sK5),X6,X5,X7))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X4))
| ~ one_sorted_str(sK5)
| empty_carrier(sK5)
| ~ element(X7,the_carrier(X6))
| ~ sP0(sK16(sK5),X6,X5) )
| ~ spl27_195
| ~ spl27_338 ),
inference(resolution,[],[f2949,f1482]) ).
fof(f16924,plain,
( spl27_1078
| ~ spl27_279
| ~ spl27_523 ),
inference(avatar_split_clause,[],[f5621,f5614,f2232,f16922]) ).
fof(f16922,plain,
( spl27_1078
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,sK14(X4,X2,X5,apply_netmap(X6,sK5,sK13(the_carrier(X2),sK5,X6,X7))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,sK14(X4,X2,X5,apply_netmap(X6,sK5,sK13(the_carrier(X2),sK5,X6,X7)))))
| sP2(X4,X2,X5)
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ element(X7,the_carrier(sK5))
| sP2(X8,sK5,X9)
| apply_netmap(sK4,sK5,sK14(X8,sK5,X9,sK12(the_carrier(X2),sK5,X6))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X8,sK5,X9,sK12(the_carrier(X2),sK5,X6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1078])]) ).
fof(f5614,plain,
( spl27_523
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK13(the_carrier(X0),X7,X6,X8))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK13(the_carrier(X0),X7,X6,X8)))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| ~ sP0(the_carrier(X0),X7,X6)
| ~ element(X8,the_carrier(X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_523])]) ).
fof(f5621,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,sK14(X4,X2,X5,apply_netmap(X6,sK5,sK13(the_carrier(X2),sK5,X6,X7))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,sK14(X4,X2,X5,apply_netmap(X6,sK5,sK13(the_carrier(X2),sK5,X6,X7)))))
| sP2(X4,X2,X5)
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ element(X7,the_carrier(sK5))
| sP2(X8,sK5,X9)
| apply_netmap(sK4,sK5,sK14(X8,sK5,X9,sK12(the_carrier(X2),sK5,X6))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X8,sK5,X9,sK12(the_carrier(X2),sK5,X6))) )
| ~ spl27_279
| ~ spl27_523 ),
inference(resolution,[],[f5615,f2233]) ).
fof(f5615,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ sP0(the_carrier(X0),X7,X6)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK13(the_carrier(X0),X7,X6,X8))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK13(the_carrier(X0),X7,X6,X8)))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ element(X8,the_carrier(X7)) )
| ~ spl27_523 ),
inference(avatar_component_clause,[],[f5614]) ).
fof(f16899,plain,
( spl27_1077
| ~ spl27_35
| ~ spl27_353 ),
inference(avatar_split_clause,[],[f3262,f3254,f396,f16897]) ).
fof(f16897,plain,
( spl27_1077
<=> ! [X0,X3,X2,X1] :
( ~ sP0(sK17(powerset(X0)),X1,X2)
| empty(X0)
| ~ element(X3,the_carrier(X1))
| ~ in(X0,apply_netmap(X2,X1,sK13(sK17(powerset(X0)),X1,X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1077])]) ).
fof(f396,plain,
( spl27_35
<=> ! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_35])]) ).
fof(f3254,plain,
( spl27_353
<=> ! [X0,X3,X2,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(sK17(powerset(X2)),X1,X3)
| empty(X2)
| in(apply_netmap(X3,X1,sK13(sK17(powerset(X2)),X1,X3,X0)),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_353])]) ).
fof(f3262,plain,
( ! [X2,X3,X0,X1] :
( ~ sP0(sK17(powerset(X0)),X1,X2)
| empty(X0)
| ~ element(X3,the_carrier(X1))
| ~ in(X0,apply_netmap(X2,X1,sK13(sK17(powerset(X0)),X1,X2,X3))) )
| ~ spl27_35
| ~ spl27_353 ),
inference(resolution,[],[f3255,f397]) ).
fof(f397,plain,
( ! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) )
| ~ spl27_35 ),
inference(avatar_component_clause,[],[f396]) ).
fof(f3255,plain,
( ! [X2,X3,X0,X1] :
( in(apply_netmap(X3,X1,sK13(sK17(powerset(X2)),X1,X3,X0)),X2)
| ~ sP0(sK17(powerset(X2)),X1,X3)
| empty(X2)
| ~ element(X0,the_carrier(X1)) )
| ~ spl27_353 ),
inference(avatar_component_clause,[],[f3254]) ).
fof(f16895,plain,
( spl27_1076
| ~ spl27_47
| ~ spl27_341 ),
inference(avatar_split_clause,[],[f3056,f3037,f445,f16893]) ).
fof(f16893,plain,
( spl27_1076
<=> ! [X4,X0,X3,X2,X1] :
( ~ empty(X0)
| ~ sP0(powerset(X0),X1,X2)
| ~ element(X3,the_carrier(X1))
| apply_netmap(X2,X1,sK13(powerset(X0),X1,X2,X3)) = X4
| ~ empty(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1076])]) ).
fof(f3056,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ empty(X0)
| ~ sP0(powerset(X0),X1,X2)
| ~ element(X3,the_carrier(X1))
| apply_netmap(X2,X1,sK13(powerset(X0),X1,X2,X3)) = X4
| ~ empty(X4) )
| ~ spl27_47
| ~ spl27_341 ),
inference(resolution,[],[f3038,f446]) ).
fof(f16882,plain,
( spl27_1075
| ~ spl27_262
| ~ spl27_341 ),
inference(avatar_split_clause,[],[f3053,f3037,f2117,f16880]) ).
fof(f16880,plain,
( spl27_1075
<=> ! [X0,X3,X2,X1] :
( ~ empty(X0)
| ~ sP0(powerset(X0),X1,X2)
| ~ element(X3,the_carrier(X1))
| sK24 = sK17(powerset(apply_netmap(X2,X1,sK13(powerset(X0),X1,X2,X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1075])]) ).
fof(f2117,plain,
( spl27_262
<=> ! [X0] :
( ~ empty(X0)
| sK24 = sK17(powerset(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_262])]) ).
fof(f3053,plain,
( ! [X2,X3,X0,X1] :
( ~ empty(X0)
| ~ sP0(powerset(X0),X1,X2)
| ~ element(X3,the_carrier(X1))
| sK24 = sK17(powerset(apply_netmap(X2,X1,sK13(powerset(X0),X1,X2,X3)))) )
| ~ spl27_262
| ~ spl27_341 ),
inference(resolution,[],[f3038,f2118]) ).
fof(f2118,plain,
( ! [X0] :
( ~ empty(X0)
| sK24 = sK17(powerset(X0)) )
| ~ spl27_262 ),
inference(avatar_component_clause,[],[f2117]) ).
fof(f16874,plain,
( spl27_1074
| ~ spl27_218
| ~ spl27_308 ),
inference(avatar_split_clause,[],[f2588,f2565,f1636,f16872]) ).
fof(f16872,plain,
( spl27_1074
<=> ! [X5,X4,X2,X0,X6,X3,X1] :
( apply_netmap(X0,sK5,sK13(X1,sK5,X2,apply_netmap(X3,X4,sK14(X5,X4,X6,sK15(the_carrier(sK5),X4,X3))))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(X1,sK5,X2,apply_netmap(X3,X4,sK14(X5,X4,X6,sK15(the_carrier(sK5),X4,X3)))))
| apply_netmap(sK4,sK5,sK12(X1,sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X1,sK5,X2))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ sP2(the_carrier(sK5),X4,X3)
| sP2(X5,X4,X6)
| ~ element(sK15(the_carrier(sK5),X4,X3),the_carrier(X4))
| ~ element(sK14(X5,X4,X6,sK15(the_carrier(sK5),X4,X3)),the_carrier(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1074])]) ).
fof(f2588,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( apply_netmap(X0,sK5,sK13(X1,sK5,X2,apply_netmap(X3,X4,sK14(X5,X4,X6,sK15(the_carrier(sK5),X4,X3))))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(X1,sK5,X2,apply_netmap(X3,X4,sK14(X5,X4,X6,sK15(the_carrier(sK5),X4,X3)))))
| apply_netmap(sK4,sK5,sK12(X1,sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X1,sK5,X2))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ sP2(the_carrier(sK5),X4,X3)
| sP2(X5,X4,X6)
| ~ element(sK15(the_carrier(sK5),X4,X3),the_carrier(X4))
| ~ element(sK14(X5,X4,X6,sK15(the_carrier(sK5),X4,X3)),the_carrier(X4)) )
| ~ spl27_218
| ~ spl27_308 ),
inference(resolution,[],[f2566,f1637]) ).
fof(f16870,plain,
( spl27_1073
| ~ spl27_216
| ~ spl27_308 ),
inference(avatar_split_clause,[],[f2583,f2565,f1625,f16868]) ).
fof(f16868,plain,
( spl27_1073
<=> ! [X5,X4,X2,X0,X6,X3,X1] :
( apply_netmap(X0,sK5,sK13(X1,sK5,X2,apply_netmap(X3,X4,sK13(X5,X4,X6,sK15(the_carrier(sK5),X4,X3))))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(X1,sK5,X2,apply_netmap(X3,X4,sK13(X5,X4,X6,sK15(the_carrier(sK5),X4,X3)))))
| apply_netmap(sK4,sK5,sK12(X1,sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X1,sK5,X2))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ sP2(the_carrier(sK5),X4,X3)
| ~ element(sK15(the_carrier(sK5),X4,X3),the_carrier(X4))
| ~ sP0(X5,X4,X6)
| ~ element(sK13(X5,X4,X6,sK15(the_carrier(sK5),X4,X3)),the_carrier(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1073])]) ).
fof(f2583,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( apply_netmap(X0,sK5,sK13(X1,sK5,X2,apply_netmap(X3,X4,sK13(X5,X4,X6,sK15(the_carrier(sK5),X4,X3))))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(X1,sK5,X2,apply_netmap(X3,X4,sK13(X5,X4,X6,sK15(the_carrier(sK5),X4,X3)))))
| apply_netmap(sK4,sK5,sK12(X1,sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X1,sK5,X2))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ sP2(the_carrier(sK5),X4,X3)
| ~ element(sK15(the_carrier(sK5),X4,X3),the_carrier(X4))
| ~ sP0(X5,X4,X6)
| ~ element(sK13(X5,X4,X6,sK15(the_carrier(sK5),X4,X3)),the_carrier(X4)) )
| ~ spl27_216
| ~ spl27_308 ),
inference(resolution,[],[f2566,f1626]) ).
fof(f16794,plain,
( spl27_1072
| ~ spl27_155
| ~ spl27_565 ),
inference(avatar_split_clause,[],[f5973,f5909,f1177,f16792]) ).
fof(f16792,plain,
( spl27_1072
<=> ! [X2,X4,X0,X5,X3,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X2,X3,apply_netmap(X4,sK5,sK13(sK17(powerset(the_carrier(X3))),sK5,X4,X5))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X2,X3,apply_netmap(X4,sK5,sK13(sK17(powerset(the_carrier(X3))),sK5,X4,X5)))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| ~ net_str(X1,X0)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| ~ element(X5,the_carrier(sK5))
| empty_carrier(X1)
| apply_netmap(sK4,sK5,sK12(sK17(powerset(the_carrier(X3))),sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK17(powerset(the_carrier(X3))),sK5,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1072])]) ).
fof(f5973,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X2,X3,apply_netmap(X4,sK5,sK13(sK17(powerset(the_carrier(X3))),sK5,X4,X5))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X2,X3,apply_netmap(X4,sK5,sK13(sK17(powerset(the_carrier(X3))),sK5,X4,X5)))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| ~ net_str(X1,X0)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| ~ element(X5,the_carrier(sK5))
| empty_carrier(X1)
| apply_netmap(sK4,sK5,sK12(sK17(powerset(the_carrier(X3))),sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK17(powerset(the_carrier(X3))),sK5,X4)) )
| ~ spl27_155
| ~ spl27_565 ),
inference(resolution,[],[f5910,f1178]) ).
fof(f16790,plain,
( spl27_1071
| ~ spl27_130
| ~ spl27_339 ),
inference(avatar_split_clause,[],[f2995,f2988,f968,f16788]) ).
fof(f16788,plain,
( spl27_1071
<=> ! [X5,X4,X2,X0,X6,X3,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,apply_netmap(X4,X5,sK13(the_carrier(sK5),X5,X4,X6)))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,apply_netmap(X4,X5,sK13(the_carrier(sK5),X5,X4,X6))))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X3)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X3))
| ~ sP0(the_carrier(sK5),X5,X4)
| ~ element(X6,the_carrier(X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1071])]) ).
fof(f2995,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,apply_netmap(X4,X5,sK13(the_carrier(sK5),X5,X4,X6)))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,apply_netmap(X4,X5,sK13(the_carrier(sK5),X5,X4,X6))))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X3)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X3))
| ~ sP0(the_carrier(sK5),X5,X4)
| ~ element(X6,the_carrier(X5)) )
| ~ spl27_130
| ~ spl27_339 ),
inference(resolution,[],[f2989,f969]) ).
fof(f16724,plain,
( spl27_1070
| ~ spl27_63
| ~ spl27_1062 ),
inference(avatar_split_clause,[],[f16384,f15934,f556,f16722]) ).
fof(f15934,plain,
( spl27_1062
<=> ! [X0,X1] :
( ~ sP0(sK6,X0,X1)
| sP0(sK7,X0,X1)
| ~ element(sK12(sK7,X0,X1),the_carrier(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1062])]) ).
fof(f16384,plain,
( ! [X0,X1] :
( sP0(sK7,X0,X1)
| ~ sP0(sK6,X0,X1) )
| ~ spl27_63
| ~ spl27_1062 ),
inference(duplicate_literal_removal,[],[f16383]) ).
fof(f16383,plain,
( ! [X0,X1] :
( sP0(sK7,X0,X1)
| ~ sP0(sK6,X0,X1)
| sP0(sK7,X0,X1) )
| ~ spl27_63
| ~ spl27_1062 ),
inference(resolution,[],[f15935,f557]) ).
fof(f15935,plain,
( ! [X0,X1] :
( ~ element(sK12(sK7,X0,X1),the_carrier(X0))
| sP0(sK7,X0,X1)
| ~ sP0(sK6,X0,X1) )
| ~ spl27_1062 ),
inference(avatar_component_clause,[],[f15934]) ).
fof(f16400,plain,
( spl27_1069
| ~ spl27_155
| ~ spl27_564 ),
inference(avatar_split_clause,[],[f5969,f5905,f1177,f16398]) ).
fof(f16398,plain,
( spl27_1069
<=> ! [X2,X4,X0,X5,X3,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X2,X3,apply_netmap(X4,sK5,sK13(sK10(the_carrier(X3)),sK5,X4,X5))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X2,X3,apply_netmap(X4,sK5,sK13(sK10(the_carrier(X3)),sK5,X4,X5)))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| ~ net_str(X1,X0)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| empty(the_carrier(X3))
| ~ element(X5,the_carrier(sK5))
| empty_carrier(X1)
| apply_netmap(sK4,sK5,sK12(sK10(the_carrier(X3)),sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK10(the_carrier(X3)),sK5,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1069])]) ).
fof(f5969,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X2,X3,apply_netmap(X4,sK5,sK13(sK10(the_carrier(X3)),sK5,X4,X5))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X2,X3,apply_netmap(X4,sK5,sK13(sK10(the_carrier(X3)),sK5,X4,X5)))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| ~ net_str(X1,X0)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| empty(the_carrier(X3))
| ~ element(X5,the_carrier(sK5))
| empty_carrier(X1)
| apply_netmap(sK4,sK5,sK12(sK10(the_carrier(X3)),sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK10(the_carrier(X3)),sK5,X4)) )
| ~ spl27_155
| ~ spl27_564 ),
inference(resolution,[],[f5906,f1178]) ).
fof(f16396,plain,
( spl27_1068
| ~ spl27_155
| ~ spl27_563 ),
inference(avatar_split_clause,[],[f5965,f5883,f1177,f16394]) ).
fof(f16394,plain,
( spl27_1068
<=> ! [X2,X4,X0,X5,X3,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X2,X3,apply_netmap(X4,sK5,sK13(sK9(the_carrier(X3)),sK5,X4,X5))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X2,X3,apply_netmap(X4,sK5,sK13(sK9(the_carrier(X3)),sK5,X4,X5)))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| ~ net_str(X1,X0)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| empty(the_carrier(X3))
| ~ element(X5,the_carrier(sK5))
| empty_carrier(X1)
| apply_netmap(sK4,sK5,sK12(sK9(the_carrier(X3)),sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK9(the_carrier(X3)),sK5,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1068])]) ).
fof(f5965,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X2,X3,apply_netmap(X4,sK5,sK13(sK9(the_carrier(X3)),sK5,X4,X5))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X2,X3,apply_netmap(X4,sK5,sK13(sK9(the_carrier(X3)),sK5,X4,X5)))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| ~ net_str(X1,X0)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| empty(the_carrier(X3))
| ~ element(X5,the_carrier(sK5))
| empty_carrier(X1)
| apply_netmap(sK4,sK5,sK12(sK9(the_carrier(X3)),sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK9(the_carrier(X3)),sK5,X4)) )
| ~ spl27_155
| ~ spl27_563 ),
inference(resolution,[],[f5884,f1178]) ).
fof(f16392,plain,
( spl27_1067
| ~ spl27_155
| ~ spl27_562 ),
inference(avatar_split_clause,[],[f5961,f5879,f1177,f16390]) ).
fof(f16390,plain,
( spl27_1067
<=> ! [X2,X4,X0,X5,X3,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X2,X3,apply_netmap(X4,sK5,sK13(sK8(the_carrier(X3)),sK5,X4,X5))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X2,X3,apply_netmap(X4,sK5,sK13(sK8(the_carrier(X3)),sK5,X4,X5)))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| ~ net_str(X1,X0)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| empty(the_carrier(X3))
| ~ element(X5,the_carrier(sK5))
| empty_carrier(X1)
| apply_netmap(sK4,sK5,sK12(sK8(the_carrier(X3)),sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK8(the_carrier(X3)),sK5,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1067])]) ).
fof(f5961,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X2,X3,apply_netmap(X4,sK5,sK13(sK8(the_carrier(X3)),sK5,X4,X5))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X2,X3,apply_netmap(X4,sK5,sK13(sK8(the_carrier(X3)),sK5,X4,X5)))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| ~ net_str(X1,X0)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| empty(the_carrier(X3))
| ~ element(X5,the_carrier(sK5))
| empty_carrier(X1)
| apply_netmap(sK4,sK5,sK12(sK8(the_carrier(X3)),sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK8(the_carrier(X3)),sK5,X4)) )
| ~ spl27_155
| ~ spl27_562 ),
inference(resolution,[],[f5880,f1178]) ).
fof(f16388,plain,
( spl27_1066
| ~ spl27_155
| ~ spl27_557 ),
inference(avatar_split_clause,[],[f5863,f5821,f1177,f16386]) ).
fof(f16386,plain,
( spl27_1066
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,sK14(X3,X2,X4,apply_netmap(X5,sK5,sK13(sK17(powerset(the_carrier(X2))),sK5,X5,X6))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,sK14(X3,X2,X4,apply_netmap(X5,sK5,sK13(sK17(powerset(the_carrier(X2))),sK5,X5,X6)))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| sP2(X3,X2,X4)
| ~ net_str(X1,X0)
| ~ element(X6,the_carrier(sK5))
| empty_carrier(X1)
| apply_netmap(sK4,sK5,sK12(sK17(powerset(the_carrier(X2))),sK5,X5)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK17(powerset(the_carrier(X2))),sK5,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1066])]) ).
fof(f5863,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,sK14(X3,X2,X4,apply_netmap(X5,sK5,sK13(sK17(powerset(the_carrier(X2))),sK5,X5,X6))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,sK14(X3,X2,X4,apply_netmap(X5,sK5,sK13(sK17(powerset(the_carrier(X2))),sK5,X5,X6)))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| sP2(X3,X2,X4)
| ~ net_str(X1,X0)
| ~ element(X6,the_carrier(sK5))
| empty_carrier(X1)
| apply_netmap(sK4,sK5,sK12(sK17(powerset(the_carrier(X2))),sK5,X5)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK17(powerset(the_carrier(X2))),sK5,X5)) )
| ~ spl27_155
| ~ spl27_557 ),
inference(resolution,[],[f5822,f1178]) ).
fof(f16382,plain,
( spl27_1065
| ~ spl27_155
| ~ spl27_553 ),
inference(avatar_split_clause,[],[f5847,f5805,f1177,f16380]) ).
fof(f16380,plain,
( spl27_1065
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X2,X4,apply_netmap(X5,sK5,sK13(sK17(powerset(the_carrier(X4))),sK5,X5,X6))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X2,X4,apply_netmap(X5,sK5,sK13(sK17(powerset(the_carrier(X4))),sK5,X5,X6)))))
| ~ net_str(X2,X0)
| ~ net_str(X4,X2)
| empty_carrier(X4)
| ~ one_sorted_str(X2)
| ~ element(X6,the_carrier(sK5))
| empty_carrier(X2)
| apply_netmap(sK4,sK5,sK12(sK17(powerset(the_carrier(X4))),sK5,X5)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK17(powerset(the_carrier(X4))),sK5,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1065])]) ).
fof(f5847,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X2,X4,apply_netmap(X5,sK5,sK13(sK17(powerset(the_carrier(X4))),sK5,X5,X6))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X2,X4,apply_netmap(X5,sK5,sK13(sK17(powerset(the_carrier(X4))),sK5,X5,X6)))))
| ~ net_str(X2,X0)
| ~ net_str(X4,X2)
| empty_carrier(X4)
| ~ one_sorted_str(X2)
| ~ element(X6,the_carrier(sK5))
| empty_carrier(X2)
| apply_netmap(sK4,sK5,sK12(sK17(powerset(the_carrier(X4))),sK5,X5)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK17(powerset(the_carrier(X4))),sK5,X5)) )
| ~ spl27_155
| ~ spl27_553 ),
inference(resolution,[],[f5806,f1178]) ).
fof(f16378,plain,
( spl27_1064
| ~ spl27_279
| ~ spl27_518 ),
inference(avatar_split_clause,[],[f5555,f5540,f2232,f16376]) ).
fof(f16376,plain,
( spl27_1064
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ element(X0,the_carrier(sK5))
| ~ net_str(X1,X2)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| apply_netmap(X2,X1,apply_netmap(X1,X3,apply_netmap(X4,sK5,sK13(sK17(powerset(the_carrier(X3))),sK5,X4,X0)))) = apply_on_structs(X1,X2,the_mapping(X2,X1),apply_netmap(X1,X3,apply_netmap(X4,sK5,sK13(sK17(powerset(the_carrier(X3))),sK5,X4,X0))))
| ~ net_str(X3,X1)
| empty_carrier(X3)
| ~ one_sorted_str(X1)
| sP2(X5,sK5,X6)
| apply_netmap(sK4,sK5,sK14(X5,sK5,X6,sK12(sK17(powerset(the_carrier(X3))),sK5,X4))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X5,sK5,X6,sK12(sK17(powerset(the_carrier(X3))),sK5,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1064])]) ).
fof(f5540,plain,
( spl27_518
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(sK17(powerset(the_carrier(X2))),X1,X3)
| ~ net_str(X4,X5)
| empty_carrier(X4)
| ~ one_sorted_str(X5)
| empty_carrier(X5)
| apply_netmap(X5,X4,apply_netmap(X4,X2,apply_netmap(X3,X1,sK13(sK17(powerset(the_carrier(X2))),X1,X3,X0)))) = apply_on_structs(X4,X5,the_mapping(X5,X4),apply_netmap(X4,X2,apply_netmap(X3,X1,sK13(sK17(powerset(the_carrier(X2))),X1,X3,X0))))
| ~ net_str(X2,X4)
| empty_carrier(X2)
| ~ one_sorted_str(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_518])]) ).
fof(f5555,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ element(X0,the_carrier(sK5))
| ~ net_str(X1,X2)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| apply_netmap(X2,X1,apply_netmap(X1,X3,apply_netmap(X4,sK5,sK13(sK17(powerset(the_carrier(X3))),sK5,X4,X0)))) = apply_on_structs(X1,X2,the_mapping(X2,X1),apply_netmap(X1,X3,apply_netmap(X4,sK5,sK13(sK17(powerset(the_carrier(X3))),sK5,X4,X0))))
| ~ net_str(X3,X1)
| empty_carrier(X3)
| ~ one_sorted_str(X1)
| sP2(X5,sK5,X6)
| apply_netmap(sK4,sK5,sK14(X5,sK5,X6,sK12(sK17(powerset(the_carrier(X3))),sK5,X4))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X5,sK5,X6,sK12(sK17(powerset(the_carrier(X3))),sK5,X4))) )
| ~ spl27_279
| ~ spl27_518 ),
inference(resolution,[],[f5541,f2233]) ).
fof(f5541,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sP0(sK17(powerset(the_carrier(X2))),X1,X3)
| ~ element(X0,the_carrier(X1))
| ~ net_str(X4,X5)
| empty_carrier(X4)
| ~ one_sorted_str(X5)
| empty_carrier(X5)
| apply_netmap(X5,X4,apply_netmap(X4,X2,apply_netmap(X3,X1,sK13(sK17(powerset(the_carrier(X2))),X1,X3,X0)))) = apply_on_structs(X4,X5,the_mapping(X5,X4),apply_netmap(X4,X2,apply_netmap(X3,X1,sK13(sK17(powerset(the_carrier(X2))),X1,X3,X0))))
| ~ net_str(X2,X4)
| empty_carrier(X2)
| ~ one_sorted_str(X4) )
| ~ spl27_518 ),
inference(avatar_component_clause,[],[f5540]) ).
fof(f16374,plain,
( spl27_1063
| ~ spl27_130
| ~ spl27_338 ),
inference(avatar_split_clause,[],[f2955,f2948,f968,f16372]) ).
fof(f16372,plain,
( spl27_1063
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,apply_netmap(X5,X6,sK13(the_carrier(sK5),X6,X5,X7)))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,apply_netmap(X5,X6,sK13(the_carrier(sK5),X6,X5,X7))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X4))
| ~ sP0(the_carrier(sK5),X6,X5)
| ~ element(X7,the_carrier(X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1063])]) ).
fof(f2955,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,apply_netmap(X5,X6,sK13(the_carrier(sK5),X6,X5,X7)))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,apply_netmap(X5,X6,sK13(the_carrier(sK5),X6,X5,X7))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X4))
| ~ sP0(the_carrier(sK5),X6,X5)
| ~ element(X7,the_carrier(X6)) )
| ~ spl27_130
| ~ spl27_338 ),
inference(resolution,[],[f2949,f969]) ).
fof(f15936,plain,
( spl27_1062
| ~ spl27_73
| ~ spl27_1030 ),
inference(avatar_split_clause,[],[f15660,f14954,f607,f15934]) ).
fof(f14954,plain,
( spl27_1030
<=> ! [X0,X1] :
( ~ element(sK12(sK7,X0,X1),the_carrier(X0))
| ~ sP0(sK6,X0,X1)
| sP0(sK7,X0,X1)
| ~ element(sK13(sK6,X0,X1,sK12(sK7,X0,X1)),the_carrier(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1030])]) ).
fof(f15660,plain,
( ! [X0,X1] :
( ~ sP0(sK6,X0,X1)
| sP0(sK7,X0,X1)
| ~ element(sK12(sK7,X0,X1),the_carrier(X0)) )
| ~ spl27_73
| ~ spl27_1030 ),
inference(duplicate_literal_removal,[],[f15659]) ).
fof(f15659,plain,
( ! [X0,X1] :
( ~ sP0(sK6,X0,X1)
| sP0(sK7,X0,X1)
| ~ element(sK12(sK7,X0,X1),the_carrier(X0))
| ~ element(sK12(sK7,X0,X1),the_carrier(X0))
| ~ sP0(sK6,X0,X1) )
| ~ spl27_73
| ~ spl27_1030 ),
inference(resolution,[],[f14955,f608]) ).
fof(f14955,plain,
( ! [X0,X1] :
( ~ element(sK13(sK6,X0,X1,sK12(sK7,X0,X1)),the_carrier(X0))
| ~ sP0(sK6,X0,X1)
| sP0(sK7,X0,X1)
| ~ element(sK12(sK7,X0,X1),the_carrier(X0)) )
| ~ spl27_1030 ),
inference(avatar_component_clause,[],[f14954]) ).
fof(f15684,plain,
( spl27_1061
| ~ spl27_155
| ~ spl27_556 ),
inference(avatar_split_clause,[],[f5859,f5817,f1177,f15682]) ).
fof(f15682,plain,
( spl27_1061
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,sK14(X3,X2,X4,apply_netmap(X5,sK5,sK13(sK10(the_carrier(X2)),sK5,X5,X6))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,sK14(X3,X2,X4,apply_netmap(X5,sK5,sK13(sK10(the_carrier(X2)),sK5,X5,X6)))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| sP2(X3,X2,X4)
| ~ net_str(X1,X0)
| empty(the_carrier(X2))
| ~ element(X6,the_carrier(sK5))
| empty_carrier(X1)
| apply_netmap(sK4,sK5,sK12(sK10(the_carrier(X2)),sK5,X5)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK10(the_carrier(X2)),sK5,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1061])]) ).
fof(f5859,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,sK14(X3,X2,X4,apply_netmap(X5,sK5,sK13(sK10(the_carrier(X2)),sK5,X5,X6))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,sK14(X3,X2,X4,apply_netmap(X5,sK5,sK13(sK10(the_carrier(X2)),sK5,X5,X6)))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| sP2(X3,X2,X4)
| ~ net_str(X1,X0)
| empty(the_carrier(X2))
| ~ element(X6,the_carrier(sK5))
| empty_carrier(X1)
| apply_netmap(sK4,sK5,sK12(sK10(the_carrier(X2)),sK5,X5)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK10(the_carrier(X2)),sK5,X5)) )
| ~ spl27_155
| ~ spl27_556 ),
inference(resolution,[],[f5818,f1178]) ).
fof(f15680,plain,
( spl27_1060
| ~ spl27_155
| ~ spl27_555 ),
inference(avatar_split_clause,[],[f5855,f5813,f1177,f15678]) ).
fof(f15678,plain,
( spl27_1060
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,sK14(X3,X2,X4,apply_netmap(X5,sK5,sK13(sK9(the_carrier(X2)),sK5,X5,X6))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,sK14(X3,X2,X4,apply_netmap(X5,sK5,sK13(sK9(the_carrier(X2)),sK5,X5,X6)))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| sP2(X3,X2,X4)
| ~ net_str(X1,X0)
| empty(the_carrier(X2))
| ~ element(X6,the_carrier(sK5))
| empty_carrier(X1)
| apply_netmap(sK4,sK5,sK12(sK9(the_carrier(X2)),sK5,X5)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK9(the_carrier(X2)),sK5,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1060])]) ).
fof(f5855,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,sK14(X3,X2,X4,apply_netmap(X5,sK5,sK13(sK9(the_carrier(X2)),sK5,X5,X6))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,sK14(X3,X2,X4,apply_netmap(X5,sK5,sK13(sK9(the_carrier(X2)),sK5,X5,X6)))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| sP2(X3,X2,X4)
| ~ net_str(X1,X0)
| empty(the_carrier(X2))
| ~ element(X6,the_carrier(sK5))
| empty_carrier(X1)
| apply_netmap(sK4,sK5,sK12(sK9(the_carrier(X2)),sK5,X5)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK9(the_carrier(X2)),sK5,X5)) )
| ~ spl27_155
| ~ spl27_555 ),
inference(resolution,[],[f5814,f1178]) ).
fof(f15676,plain,
( spl27_1059
| ~ spl27_155
| ~ spl27_554 ),
inference(avatar_split_clause,[],[f5851,f5809,f1177,f15674]) ).
fof(f15674,plain,
( spl27_1059
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,sK14(X3,X2,X4,apply_netmap(X5,sK5,sK13(sK8(the_carrier(X2)),sK5,X5,X6))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,sK14(X3,X2,X4,apply_netmap(X5,sK5,sK13(sK8(the_carrier(X2)),sK5,X5,X6)))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| sP2(X3,X2,X4)
| ~ net_str(X1,X0)
| empty(the_carrier(X2))
| ~ element(X6,the_carrier(sK5))
| empty_carrier(X1)
| apply_netmap(sK4,sK5,sK12(sK8(the_carrier(X2)),sK5,X5)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK8(the_carrier(X2)),sK5,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1059])]) ).
fof(f5851,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,sK14(X3,X2,X4,apply_netmap(X5,sK5,sK13(sK8(the_carrier(X2)),sK5,X5,X6))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,sK14(X3,X2,X4,apply_netmap(X5,sK5,sK13(sK8(the_carrier(X2)),sK5,X5,X6)))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| sP2(X3,X2,X4)
| ~ net_str(X1,X0)
| empty(the_carrier(X2))
| ~ element(X6,the_carrier(sK5))
| empty_carrier(X1)
| apply_netmap(sK4,sK5,sK12(sK8(the_carrier(X2)),sK5,X5)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK8(the_carrier(X2)),sK5,X5)) )
| ~ spl27_155
| ~ spl27_554 ),
inference(resolution,[],[f5810,f1178]) ).
fof(f15672,plain,
( spl27_1058
| ~ spl27_155
| ~ spl27_552 ),
inference(avatar_split_clause,[],[f5838,f5801,f1177,f15670]) ).
fof(f15670,plain,
( spl27_1058
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X2,X4,apply_netmap(X5,sK5,sK13(sK10(the_carrier(X4)),sK5,X5,X6))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X2,X4,apply_netmap(X5,sK5,sK13(sK10(the_carrier(X4)),sK5,X5,X6)))))
| ~ net_str(X2,X0)
| ~ net_str(X4,X2)
| empty_carrier(X4)
| ~ one_sorted_str(X2)
| empty(the_carrier(X4))
| ~ element(X6,the_carrier(sK5))
| empty_carrier(X2)
| apply_netmap(sK4,sK5,sK12(sK10(the_carrier(X4)),sK5,X5)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK10(the_carrier(X4)),sK5,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1058])]) ).
fof(f5838,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X2,X4,apply_netmap(X5,sK5,sK13(sK10(the_carrier(X4)),sK5,X5,X6))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X2,X4,apply_netmap(X5,sK5,sK13(sK10(the_carrier(X4)),sK5,X5,X6)))))
| ~ net_str(X2,X0)
| ~ net_str(X4,X2)
| empty_carrier(X4)
| ~ one_sorted_str(X2)
| empty(the_carrier(X4))
| ~ element(X6,the_carrier(sK5))
| empty_carrier(X2)
| apply_netmap(sK4,sK5,sK12(sK10(the_carrier(X4)),sK5,X5)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK10(the_carrier(X4)),sK5,X5)) )
| ~ spl27_155
| ~ spl27_552 ),
inference(resolution,[],[f5802,f1178]) ).
fof(f15668,plain,
( spl27_1057
| ~ spl27_155
| ~ spl27_551 ),
inference(avatar_split_clause,[],[f5834,f5789,f1177,f15666]) ).
fof(f15666,plain,
( spl27_1057
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X2,X4,apply_netmap(X5,sK5,sK13(sK9(the_carrier(X4)),sK5,X5,X6))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X2,X4,apply_netmap(X5,sK5,sK13(sK9(the_carrier(X4)),sK5,X5,X6)))))
| ~ net_str(X2,X0)
| ~ net_str(X4,X2)
| empty_carrier(X4)
| ~ one_sorted_str(X2)
| empty(the_carrier(X4))
| ~ element(X6,the_carrier(sK5))
| empty_carrier(X2)
| apply_netmap(sK4,sK5,sK12(sK9(the_carrier(X4)),sK5,X5)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK9(the_carrier(X4)),sK5,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1057])]) ).
fof(f5834,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X2,X4,apply_netmap(X5,sK5,sK13(sK9(the_carrier(X4)),sK5,X5,X6))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X2,X4,apply_netmap(X5,sK5,sK13(sK9(the_carrier(X4)),sK5,X5,X6)))))
| ~ net_str(X2,X0)
| ~ net_str(X4,X2)
| empty_carrier(X4)
| ~ one_sorted_str(X2)
| empty(the_carrier(X4))
| ~ element(X6,the_carrier(sK5))
| empty_carrier(X2)
| apply_netmap(sK4,sK5,sK12(sK9(the_carrier(X4)),sK5,X5)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK9(the_carrier(X4)),sK5,X5)) )
| ~ spl27_155
| ~ spl27_551 ),
inference(resolution,[],[f5790,f1178]) ).
fof(f15664,plain,
( spl27_1056
| ~ spl27_155
| ~ spl27_550 ),
inference(avatar_split_clause,[],[f5830,f5785,f1177,f15662]) ).
fof(f15662,plain,
( spl27_1056
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X2,X4,apply_netmap(X5,sK5,sK13(sK8(the_carrier(X4)),sK5,X5,X6))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X2,X4,apply_netmap(X5,sK5,sK13(sK8(the_carrier(X4)),sK5,X5,X6)))))
| ~ net_str(X2,X0)
| ~ net_str(X4,X2)
| empty_carrier(X4)
| ~ one_sorted_str(X2)
| empty(the_carrier(X4))
| ~ element(X6,the_carrier(sK5))
| empty_carrier(X2)
| apply_netmap(sK4,sK5,sK12(sK8(the_carrier(X4)),sK5,X5)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK8(the_carrier(X4)),sK5,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1056])]) ).
fof(f5830,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X2,X4,apply_netmap(X5,sK5,sK13(sK8(the_carrier(X4)),sK5,X5,X6))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X2,X4,apply_netmap(X5,sK5,sK13(sK8(the_carrier(X4)),sK5,X5,X6)))))
| ~ net_str(X2,X0)
| ~ net_str(X4,X2)
| empty_carrier(X4)
| ~ one_sorted_str(X2)
| empty(the_carrier(X4))
| ~ element(X6,the_carrier(sK5))
| empty_carrier(X2)
| apply_netmap(sK4,sK5,sK12(sK8(the_carrier(X4)),sK5,X5)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK8(the_carrier(X4)),sK5,X5)) )
| ~ spl27_155
| ~ spl27_550 ),
inference(resolution,[],[f5786,f1178]) ).
fof(f15658,plain,
( spl27_1055
| ~ spl27_155
| ~ spl27_544 ),
inference(avatar_split_clause,[],[f5777,f5744,f1177,f15656]) ).
fof(f15656,plain,
( spl27_1055
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,sK14(X4,X2,X5,apply_netmap(X6,sK5,sK13(sK17(powerset(the_carrier(X2))),sK5,X6,X7))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,sK14(X4,X2,X5,apply_netmap(X6,sK5,sK13(sK17(powerset(the_carrier(X2))),sK5,X6,X7)))))
| sP2(X4,X2,X5)
| ~ net_str(X2,X0)
| ~ element(X7,the_carrier(sK5))
| empty_carrier(X2)
| apply_netmap(sK4,sK5,sK12(sK17(powerset(the_carrier(X2))),sK5,X6)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK17(powerset(the_carrier(X2))),sK5,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1055])]) ).
fof(f5777,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,sK14(X4,X2,X5,apply_netmap(X6,sK5,sK13(sK17(powerset(the_carrier(X2))),sK5,X6,X7))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,sK14(X4,X2,X5,apply_netmap(X6,sK5,sK13(sK17(powerset(the_carrier(X2))),sK5,X6,X7)))))
| sP2(X4,X2,X5)
| ~ net_str(X2,X0)
| ~ element(X7,the_carrier(sK5))
| empty_carrier(X2)
| apply_netmap(sK4,sK5,sK12(sK17(powerset(the_carrier(X2))),sK5,X6)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK17(powerset(the_carrier(X2))),sK5,X6)) )
| ~ spl27_155
| ~ spl27_544 ),
inference(resolution,[],[f5745,f1178]) ).
fof(f15654,plain,
( spl27_1054
| ~ spl27_279
| ~ spl27_521 ),
inference(avatar_split_clause,[],[f5567,f5552,f2232,f15652]) ).
fof(f15652,plain,
( spl27_1054
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ element(X0,the_carrier(sK5))
| empty(the_carrier(X1))
| ~ net_str(X2,X3)
| empty_carrier(X2)
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| apply_netmap(X3,X2,apply_netmap(X2,X1,apply_netmap(X4,sK5,sK13(sK10(the_carrier(X1)),sK5,X4,X0)))) = apply_on_structs(X2,X3,the_mapping(X3,X2),apply_netmap(X2,X1,apply_netmap(X4,sK5,sK13(sK10(the_carrier(X1)),sK5,X4,X0))))
| ~ net_str(X1,X2)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| sP2(X5,sK5,X6)
| apply_netmap(sK4,sK5,sK14(X5,sK5,X6,sK12(sK10(the_carrier(X1)),sK5,X4))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X5,sK5,X6,sK12(sK10(the_carrier(X1)),sK5,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1054])]) ).
fof(f5552,plain,
( spl27_521
<=> ! [X5,X4,X0,X3,X2,X1] :
( empty(the_carrier(X0))
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK10(the_carrier(X0)),X2,X3)
| ~ net_str(X4,X5)
| empty_carrier(X4)
| ~ one_sorted_str(X5)
| empty_carrier(X5)
| apply_netmap(X5,X4,apply_netmap(X4,X0,apply_netmap(X3,X2,sK13(sK10(the_carrier(X0)),X2,X3,X1)))) = apply_on_structs(X4,X5,the_mapping(X5,X4),apply_netmap(X4,X0,apply_netmap(X3,X2,sK13(sK10(the_carrier(X0)),X2,X3,X1))))
| ~ net_str(X0,X4)
| empty_carrier(X0)
| ~ one_sorted_str(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_521])]) ).
fof(f5567,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ element(X0,the_carrier(sK5))
| empty(the_carrier(X1))
| ~ net_str(X2,X3)
| empty_carrier(X2)
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| apply_netmap(X3,X2,apply_netmap(X2,X1,apply_netmap(X4,sK5,sK13(sK10(the_carrier(X1)),sK5,X4,X0)))) = apply_on_structs(X2,X3,the_mapping(X3,X2),apply_netmap(X2,X1,apply_netmap(X4,sK5,sK13(sK10(the_carrier(X1)),sK5,X4,X0))))
| ~ net_str(X1,X2)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| sP2(X5,sK5,X6)
| apply_netmap(sK4,sK5,sK14(X5,sK5,X6,sK12(sK10(the_carrier(X1)),sK5,X4))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X5,sK5,X6,sK12(sK10(the_carrier(X1)),sK5,X4))) )
| ~ spl27_279
| ~ spl27_521 ),
inference(resolution,[],[f5553,f2233]) ).
fof(f5553,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sP0(sK10(the_carrier(X0)),X2,X3)
| ~ element(X1,the_carrier(X2))
| empty(the_carrier(X0))
| ~ net_str(X4,X5)
| empty_carrier(X4)
| ~ one_sorted_str(X5)
| empty_carrier(X5)
| apply_netmap(X5,X4,apply_netmap(X4,X0,apply_netmap(X3,X2,sK13(sK10(the_carrier(X0)),X2,X3,X1)))) = apply_on_structs(X4,X5,the_mapping(X5,X4),apply_netmap(X4,X0,apply_netmap(X3,X2,sK13(sK10(the_carrier(X0)),X2,X3,X1))))
| ~ net_str(X0,X4)
| empty_carrier(X0)
| ~ one_sorted_str(X4) )
| ~ spl27_521 ),
inference(avatar_component_clause,[],[f5552]) ).
fof(f15650,plain,
( spl27_1053
| ~ spl27_279
| ~ spl27_520 ),
inference(avatar_split_clause,[],[f5563,f5548,f2232,f15648]) ).
fof(f15648,plain,
( spl27_1053
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ element(X0,the_carrier(sK5))
| empty(the_carrier(X1))
| ~ net_str(X2,X3)
| empty_carrier(X2)
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| apply_netmap(X3,X2,apply_netmap(X2,X1,apply_netmap(X4,sK5,sK13(sK9(the_carrier(X1)),sK5,X4,X0)))) = apply_on_structs(X2,X3,the_mapping(X3,X2),apply_netmap(X2,X1,apply_netmap(X4,sK5,sK13(sK9(the_carrier(X1)),sK5,X4,X0))))
| ~ net_str(X1,X2)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| sP2(X5,sK5,X6)
| apply_netmap(sK4,sK5,sK14(X5,sK5,X6,sK12(sK9(the_carrier(X1)),sK5,X4))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X5,sK5,X6,sK12(sK9(the_carrier(X1)),sK5,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1053])]) ).
fof(f5548,plain,
( spl27_520
<=> ! [X5,X4,X0,X3,X2,X1] :
( empty(the_carrier(X0))
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK9(the_carrier(X0)),X2,X3)
| ~ net_str(X4,X5)
| empty_carrier(X4)
| ~ one_sorted_str(X5)
| empty_carrier(X5)
| apply_netmap(X5,X4,apply_netmap(X4,X0,apply_netmap(X3,X2,sK13(sK9(the_carrier(X0)),X2,X3,X1)))) = apply_on_structs(X4,X5,the_mapping(X5,X4),apply_netmap(X4,X0,apply_netmap(X3,X2,sK13(sK9(the_carrier(X0)),X2,X3,X1))))
| ~ net_str(X0,X4)
| empty_carrier(X0)
| ~ one_sorted_str(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_520])]) ).
fof(f5563,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ element(X0,the_carrier(sK5))
| empty(the_carrier(X1))
| ~ net_str(X2,X3)
| empty_carrier(X2)
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| apply_netmap(X3,X2,apply_netmap(X2,X1,apply_netmap(X4,sK5,sK13(sK9(the_carrier(X1)),sK5,X4,X0)))) = apply_on_structs(X2,X3,the_mapping(X3,X2),apply_netmap(X2,X1,apply_netmap(X4,sK5,sK13(sK9(the_carrier(X1)),sK5,X4,X0))))
| ~ net_str(X1,X2)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| sP2(X5,sK5,X6)
| apply_netmap(sK4,sK5,sK14(X5,sK5,X6,sK12(sK9(the_carrier(X1)),sK5,X4))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X5,sK5,X6,sK12(sK9(the_carrier(X1)),sK5,X4))) )
| ~ spl27_279
| ~ spl27_520 ),
inference(resolution,[],[f5549,f2233]) ).
fof(f5549,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sP0(sK9(the_carrier(X0)),X2,X3)
| ~ element(X1,the_carrier(X2))
| empty(the_carrier(X0))
| ~ net_str(X4,X5)
| empty_carrier(X4)
| ~ one_sorted_str(X5)
| empty_carrier(X5)
| apply_netmap(X5,X4,apply_netmap(X4,X0,apply_netmap(X3,X2,sK13(sK9(the_carrier(X0)),X2,X3,X1)))) = apply_on_structs(X4,X5,the_mapping(X5,X4),apply_netmap(X4,X0,apply_netmap(X3,X2,sK13(sK9(the_carrier(X0)),X2,X3,X1))))
| ~ net_str(X0,X4)
| empty_carrier(X0)
| ~ one_sorted_str(X4) )
| ~ spl27_520 ),
inference(avatar_component_clause,[],[f5548]) ).
fof(f15646,plain,
( spl27_1052
| ~ spl27_279
| ~ spl27_519 ),
inference(avatar_split_clause,[],[f5559,f5544,f2232,f15644]) ).
fof(f15644,plain,
( spl27_1052
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ element(X0,the_carrier(sK5))
| empty(the_carrier(X1))
| ~ net_str(X2,X3)
| empty_carrier(X2)
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| apply_netmap(X3,X2,apply_netmap(X2,X1,apply_netmap(X4,sK5,sK13(sK8(the_carrier(X1)),sK5,X4,X0)))) = apply_on_structs(X2,X3,the_mapping(X3,X2),apply_netmap(X2,X1,apply_netmap(X4,sK5,sK13(sK8(the_carrier(X1)),sK5,X4,X0))))
| ~ net_str(X1,X2)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| sP2(X5,sK5,X6)
| apply_netmap(sK4,sK5,sK14(X5,sK5,X6,sK12(sK8(the_carrier(X1)),sK5,X4))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X5,sK5,X6,sK12(sK8(the_carrier(X1)),sK5,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1052])]) ).
fof(f5544,plain,
( spl27_519
<=> ! [X5,X4,X0,X3,X2,X1] :
( empty(the_carrier(X0))
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK8(the_carrier(X0)),X2,X3)
| ~ net_str(X4,X5)
| empty_carrier(X4)
| ~ one_sorted_str(X5)
| empty_carrier(X5)
| apply_netmap(X5,X4,apply_netmap(X4,X0,apply_netmap(X3,X2,sK13(sK8(the_carrier(X0)),X2,X3,X1)))) = apply_on_structs(X4,X5,the_mapping(X5,X4),apply_netmap(X4,X0,apply_netmap(X3,X2,sK13(sK8(the_carrier(X0)),X2,X3,X1))))
| ~ net_str(X0,X4)
| empty_carrier(X0)
| ~ one_sorted_str(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_519])]) ).
fof(f5559,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ element(X0,the_carrier(sK5))
| empty(the_carrier(X1))
| ~ net_str(X2,X3)
| empty_carrier(X2)
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| apply_netmap(X3,X2,apply_netmap(X2,X1,apply_netmap(X4,sK5,sK13(sK8(the_carrier(X1)),sK5,X4,X0)))) = apply_on_structs(X2,X3,the_mapping(X3,X2),apply_netmap(X2,X1,apply_netmap(X4,sK5,sK13(sK8(the_carrier(X1)),sK5,X4,X0))))
| ~ net_str(X1,X2)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| sP2(X5,sK5,X6)
| apply_netmap(sK4,sK5,sK14(X5,sK5,X6,sK12(sK8(the_carrier(X1)),sK5,X4))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X5,sK5,X6,sK12(sK8(the_carrier(X1)),sK5,X4))) )
| ~ spl27_279
| ~ spl27_519 ),
inference(resolution,[],[f5545,f2233]) ).
fof(f5545,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sP0(sK8(the_carrier(X0)),X2,X3)
| ~ element(X1,the_carrier(X2))
| empty(the_carrier(X0))
| ~ net_str(X4,X5)
| empty_carrier(X4)
| ~ one_sorted_str(X5)
| empty_carrier(X5)
| apply_netmap(X5,X4,apply_netmap(X4,X0,apply_netmap(X3,X2,sK13(sK8(the_carrier(X0)),X2,X3,X1)))) = apply_on_structs(X4,X5,the_mapping(X5,X4),apply_netmap(X4,X0,apply_netmap(X3,X2,sK13(sK8(the_carrier(X0)),X2,X3,X1))))
| ~ net_str(X0,X4)
| empty_carrier(X0)
| ~ one_sorted_str(X4) )
| ~ spl27_519 ),
inference(avatar_component_clause,[],[f5544]) ).
fof(f15642,plain,
( spl27_1051
| ~ spl27_279
| ~ spl27_511 ),
inference(avatar_split_clause,[],[f5475,f5456,f2232,f15640]) ).
fof(f15640,plain,
( spl27_1051
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ element(X0,the_carrier(sK5))
| ~ net_str(X1,X2)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| sP2(X3,X1,X4)
| apply_netmap(X2,X1,sK14(X3,X1,X4,apply_netmap(X5,sK5,sK13(sK17(powerset(the_carrier(X1))),sK5,X5,X0)))) = apply_on_structs(X1,X2,the_mapping(X2,X1),sK14(X3,X1,X4,apply_netmap(X5,sK5,sK13(sK17(powerset(the_carrier(X1))),sK5,X5,X0))))
| sP2(X6,sK5,X7)
| apply_netmap(sK4,sK5,sK14(X6,sK5,X7,sK12(sK17(powerset(the_carrier(X1))),sK5,X5))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X6,sK5,X7,sK12(sK17(powerset(the_carrier(X1))),sK5,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1051])]) ).
fof(f5456,plain,
( spl27_511
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(sK17(powerset(the_carrier(X2))),X1,X3)
| ~ net_str(X2,X4)
| empty_carrier(X2)
| ~ one_sorted_str(X4)
| empty_carrier(X4)
| sP2(X5,X2,X6)
| apply_netmap(X4,X2,sK14(X5,X2,X6,apply_netmap(X3,X1,sK13(sK17(powerset(the_carrier(X2))),X1,X3,X0)))) = apply_on_structs(X2,X4,the_mapping(X4,X2),sK14(X5,X2,X6,apply_netmap(X3,X1,sK13(sK17(powerset(the_carrier(X2))),X1,X3,X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_511])]) ).
fof(f5475,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ element(X0,the_carrier(sK5))
| ~ net_str(X1,X2)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| sP2(X3,X1,X4)
| apply_netmap(X2,X1,sK14(X3,X1,X4,apply_netmap(X5,sK5,sK13(sK17(powerset(the_carrier(X1))),sK5,X5,X0)))) = apply_on_structs(X1,X2,the_mapping(X2,X1),sK14(X3,X1,X4,apply_netmap(X5,sK5,sK13(sK17(powerset(the_carrier(X1))),sK5,X5,X0))))
| sP2(X6,sK5,X7)
| apply_netmap(sK4,sK5,sK14(X6,sK5,X7,sK12(sK17(powerset(the_carrier(X1))),sK5,X5))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X6,sK5,X7,sK12(sK17(powerset(the_carrier(X1))),sK5,X5))) )
| ~ spl27_279
| ~ spl27_511 ),
inference(resolution,[],[f5457,f2233]) ).
fof(f5457,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP0(sK17(powerset(the_carrier(X2))),X1,X3)
| ~ element(X0,the_carrier(X1))
| ~ net_str(X2,X4)
| empty_carrier(X2)
| ~ one_sorted_str(X4)
| empty_carrier(X4)
| sP2(X5,X2,X6)
| apply_netmap(X4,X2,sK14(X5,X2,X6,apply_netmap(X3,X1,sK13(sK17(powerset(the_carrier(X2))),X1,X3,X0)))) = apply_on_structs(X2,X4,the_mapping(X4,X2),sK14(X5,X2,X6,apply_netmap(X3,X1,sK13(sK17(powerset(the_carrier(X2))),X1,X3,X0)))) )
| ~ spl27_511 ),
inference(avatar_component_clause,[],[f5456]) ).
fof(f15626,plain,
( spl27_1050
| ~ spl27_78
| ~ spl27_708 ),
inference(avatar_split_clause,[],[f7315,f7308,f629,f15624]) ).
fof(f629,plain,
( spl27_78
<=> ! [X0,X3,X2,X1] :
( sP2(X0,X1,X2)
| ~ in(apply_netmap(X2,X1,sK14(X0,X1,X2,X3)),X0)
| ~ element(X3,the_carrier(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_78])]) ).
fof(f7308,plain,
( spl27_708
<=> ! [X0,X3,X2,X1] :
( ~ element(sK14(X0,X1,X2,sK15(sK6,X1,X3)),the_carrier(X1))
| in(apply_netmap(X3,X1,sK14(X0,X1,X2,sK15(sK6,X1,X3))),sK7)
| ~ element(sK15(sK6,X1,X3),the_carrier(X1))
| sP2(X0,X1,X2)
| ~ sP2(sK6,X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_708])]) ).
fof(f7315,plain,
( ! [X0,X1] :
( ~ element(sK14(sK7,X0,X1,sK15(sK6,X0,X1)),the_carrier(X0))
| ~ element(sK15(sK6,X0,X1),the_carrier(X0))
| sP2(sK7,X0,X1)
| ~ sP2(sK6,X0,X1) )
| ~ spl27_78
| ~ spl27_708 ),
inference(duplicate_literal_removal,[],[f7311]) ).
fof(f7311,plain,
( ! [X0,X1] :
( ~ element(sK14(sK7,X0,X1,sK15(sK6,X0,X1)),the_carrier(X0))
| ~ element(sK15(sK6,X0,X1),the_carrier(X0))
| sP2(sK7,X0,X1)
| ~ sP2(sK6,X0,X1)
| sP2(sK7,X0,X1)
| ~ element(sK15(sK6,X0,X1),the_carrier(X0)) )
| ~ spl27_78
| ~ spl27_708 ),
inference(resolution,[],[f7309,f630]) ).
fof(f630,plain,
( ! [X2,X3,X0,X1] :
( ~ in(apply_netmap(X2,X1,sK14(X0,X1,X2,X3)),X0)
| sP2(X0,X1,X2)
| ~ element(X3,the_carrier(X1)) )
| ~ spl27_78 ),
inference(avatar_component_clause,[],[f629]) ).
fof(f7309,plain,
( ! [X2,X3,X0,X1] :
( in(apply_netmap(X3,X1,sK14(X0,X1,X2,sK15(sK6,X1,X3))),sK7)
| ~ element(sK14(X0,X1,X2,sK15(sK6,X1,X3)),the_carrier(X1))
| ~ element(sK15(sK6,X1,X3),the_carrier(X1))
| sP2(X0,X1,X2)
| ~ sP2(sK6,X1,X3) )
| ~ spl27_708 ),
inference(avatar_component_clause,[],[f7308]) ).
fof(f15622,plain,
( spl27_1049
| ~ spl27_75
| ~ spl27_383 ),
inference(avatar_split_clause,[],[f3622,f3611,f615,f15620]) ).
fof(f15620,plain,
( spl27_1049
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ empty(cartesian_product2(X0,X1))
| ~ sP2(sK19(X0,X1),X2,X3)
| sP2(X4,X2,X5)
| ~ element(sK15(sK19(X0,X1),X2,X3),the_carrier(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1049])]) ).
fof(f3611,plain,
( spl27_383
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ empty(cartesian_product2(X0,X1))
| ~ element(sK14(X2,X3,X4,sK15(sK19(X0,X1),X3,X5)),the_carrier(X3))
| ~ sP2(sK19(X0,X1),X3,X5)
| sP2(X2,X3,X4)
| ~ element(sK15(sK19(X0,X1),X3,X5),the_carrier(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_383])]) ).
fof(f3622,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ empty(cartesian_product2(X0,X1))
| ~ sP2(sK19(X0,X1),X2,X3)
| sP2(X4,X2,X5)
| ~ element(sK15(sK19(X0,X1),X2,X3),the_carrier(X2)) )
| ~ spl27_75
| ~ spl27_383 ),
inference(duplicate_literal_removal,[],[f3621]) ).
fof(f3621,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ empty(cartesian_product2(X0,X1))
| ~ sP2(sK19(X0,X1),X2,X3)
| sP2(X4,X2,X5)
| ~ element(sK15(sK19(X0,X1),X2,X3),the_carrier(X2))
| sP2(X4,X2,X5)
| ~ element(sK15(sK19(X0,X1),X2,X3),the_carrier(X2)) )
| ~ spl27_75
| ~ spl27_383 ),
inference(resolution,[],[f3612,f616]) ).
fof(f3612,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ element(sK14(X2,X3,X4,sK15(sK19(X0,X1),X3,X5)),the_carrier(X3))
| ~ empty(cartesian_product2(X0,X1))
| ~ sP2(sK19(X0,X1),X3,X5)
| sP2(X2,X3,X4)
| ~ element(sK15(sK19(X0,X1),X3,X5),the_carrier(X3)) )
| ~ spl27_383 ),
inference(avatar_component_clause,[],[f3611]) ).
fof(f15618,plain,
( spl27_1048
| ~ spl27_73
| ~ spl27_382 ),
inference(avatar_split_clause,[],[f3620,f3607,f607,f15616]) ).
fof(f15616,plain,
( spl27_1048
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ empty(cartesian_product2(X0,X1))
| ~ sP2(sK19(X0,X1),X2,X3)
| ~ element(sK15(sK19(X0,X1),X2,X3),the_carrier(X2))
| ~ sP0(X4,X2,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1048])]) ).
fof(f3607,plain,
( spl27_382
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ empty(cartesian_product2(X0,X1))
| ~ element(sK13(X2,X3,X4,sK15(sK19(X0,X1),X3,X5)),the_carrier(X3))
| ~ sP2(sK19(X0,X1),X3,X5)
| ~ element(sK15(sK19(X0,X1),X3,X5),the_carrier(X3))
| ~ sP0(X2,X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_382])]) ).
fof(f3620,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ empty(cartesian_product2(X0,X1))
| ~ sP2(sK19(X0,X1),X2,X3)
| ~ element(sK15(sK19(X0,X1),X2,X3),the_carrier(X2))
| ~ sP0(X4,X2,X5) )
| ~ spl27_73
| ~ spl27_382 ),
inference(duplicate_literal_removal,[],[f3619]) ).
fof(f3619,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ empty(cartesian_product2(X0,X1))
| ~ sP2(sK19(X0,X1),X2,X3)
| ~ element(sK15(sK19(X0,X1),X2,X3),the_carrier(X2))
| ~ sP0(X4,X2,X5)
| ~ element(sK15(sK19(X0,X1),X2,X3),the_carrier(X2))
| ~ sP0(X4,X2,X5) )
| ~ spl27_73
| ~ spl27_382 ),
inference(resolution,[],[f3608,f608]) ).
fof(f3608,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ element(sK13(X2,X3,X4,sK15(sK19(X0,X1),X3,X5)),the_carrier(X3))
| ~ empty(cartesian_product2(X0,X1))
| ~ sP2(sK19(X0,X1),X3,X5)
| ~ element(sK15(sK19(X0,X1),X3,X5),the_carrier(X3))
| ~ sP0(X2,X3,X4) )
| ~ spl27_382 ),
inference(avatar_component_clause,[],[f3607]) ).
fof(f15614,plain,
( spl27_1047
| ~ spl27_75
| ~ spl27_381 ),
inference(avatar_split_clause,[],[f3618,f3603,f615,f15612]) ).
fof(f15612,plain,
( spl27_1047
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ empty(cartesian_product2(X0,X1))
| ~ sP2(sK20(X0,X1),X2,X3)
| sP2(X4,X2,X5)
| ~ element(sK15(sK20(X0,X1),X2,X3),the_carrier(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1047])]) ).
fof(f3603,plain,
( spl27_381
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ empty(cartesian_product2(X0,X1))
| ~ element(sK14(X2,X3,X4,sK15(sK20(X0,X1),X3,X5)),the_carrier(X3))
| ~ sP2(sK20(X0,X1),X3,X5)
| sP2(X2,X3,X4)
| ~ element(sK15(sK20(X0,X1),X3,X5),the_carrier(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_381])]) ).
fof(f3618,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ empty(cartesian_product2(X0,X1))
| ~ sP2(sK20(X0,X1),X2,X3)
| sP2(X4,X2,X5)
| ~ element(sK15(sK20(X0,X1),X2,X3),the_carrier(X2)) )
| ~ spl27_75
| ~ spl27_381 ),
inference(duplicate_literal_removal,[],[f3617]) ).
fof(f3617,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ empty(cartesian_product2(X0,X1))
| ~ sP2(sK20(X0,X1),X2,X3)
| sP2(X4,X2,X5)
| ~ element(sK15(sK20(X0,X1),X2,X3),the_carrier(X2))
| sP2(X4,X2,X5)
| ~ element(sK15(sK20(X0,X1),X2,X3),the_carrier(X2)) )
| ~ spl27_75
| ~ spl27_381 ),
inference(resolution,[],[f3604,f616]) ).
fof(f3604,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ element(sK14(X2,X3,X4,sK15(sK20(X0,X1),X3,X5)),the_carrier(X3))
| ~ empty(cartesian_product2(X0,X1))
| ~ sP2(sK20(X0,X1),X3,X5)
| sP2(X2,X3,X4)
| ~ element(sK15(sK20(X0,X1),X3,X5),the_carrier(X3)) )
| ~ spl27_381 ),
inference(avatar_component_clause,[],[f3603]) ).
fof(f15610,plain,
( spl27_1046
| ~ spl27_73
| ~ spl27_380 ),
inference(avatar_split_clause,[],[f3615,f3599,f607,f15608]) ).
fof(f15608,plain,
( spl27_1046
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ empty(cartesian_product2(X0,X1))
| ~ sP2(sK20(X0,X1),X2,X3)
| ~ element(sK15(sK20(X0,X1),X2,X3),the_carrier(X2))
| ~ sP0(X4,X2,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1046])]) ).
fof(f3599,plain,
( spl27_380
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ empty(cartesian_product2(X0,X1))
| ~ element(sK13(X2,X3,X4,sK15(sK20(X0,X1),X3,X5)),the_carrier(X3))
| ~ sP2(sK20(X0,X1),X3,X5)
| ~ element(sK15(sK20(X0,X1),X3,X5),the_carrier(X3))
| ~ sP0(X2,X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_380])]) ).
fof(f3615,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ empty(cartesian_product2(X0,X1))
| ~ sP2(sK20(X0,X1),X2,X3)
| ~ element(sK15(sK20(X0,X1),X2,X3),the_carrier(X2))
| ~ sP0(X4,X2,X5) )
| ~ spl27_73
| ~ spl27_380 ),
inference(duplicate_literal_removal,[],[f3614]) ).
fof(f3614,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ empty(cartesian_product2(X0,X1))
| ~ sP2(sK20(X0,X1),X2,X3)
| ~ element(sK15(sK20(X0,X1),X2,X3),the_carrier(X2))
| ~ sP0(X4,X2,X5)
| ~ element(sK15(sK20(X0,X1),X2,X3),the_carrier(X2))
| ~ sP0(X4,X2,X5) )
| ~ spl27_73
| ~ spl27_380 ),
inference(resolution,[],[f3600,f608]) ).
fof(f3600,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ element(sK13(X2,X3,X4,sK15(sK20(X0,X1),X3,X5)),the_carrier(X3))
| ~ empty(cartesian_product2(X0,X1))
| ~ sP2(sK20(X0,X1),X3,X5)
| ~ element(sK15(sK20(X0,X1),X3,X5),the_carrier(X3))
| ~ sP0(X2,X3,X4) )
| ~ spl27_380 ),
inference(avatar_component_clause,[],[f3599]) ).
fof(f15606,plain,
( spl27_1045
| ~ spl27_35
| ~ spl27_349 ),
inference(avatar_split_clause,[],[f3235,f3230,f396,f15604]) ).
fof(f15604,plain,
( spl27_1045
<=> ! [X2,X0,X1] :
( ~ net_str(X0,X1)
| ~ one_sorted_str(X1)
| empty(cartesian_product2(the_carrier(X0),the_carrier(X1)))
| ~ in(X2,the_mapping(X1,X0))
| ~ in(cartesian_product2(the_carrier(X0),the_carrier(X1)),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1045])]) ).
fof(f3235,plain,
( ! [X2,X0,X1] :
( ~ net_str(X0,X1)
| ~ one_sorted_str(X1)
| empty(cartesian_product2(the_carrier(X0),the_carrier(X1)))
| ~ in(X2,the_mapping(X1,X0))
| ~ in(cartesian_product2(the_carrier(X0),the_carrier(X1)),X2) )
| ~ spl27_35
| ~ spl27_349 ),
inference(resolution,[],[f3231,f397]) ).
fof(f15292,plain,
( spl27_1044
| spl27_283
| ~ spl27_689 ),
inference(avatar_split_clause,[],[f7014,f6987,f2267,f15289]) ).
fof(f15289,plain,
( spl27_1044
<=> apply_netmap(sK4,sK5,sK13(sK7,sK5,sK4,sK12(sK7,sK5,sK4))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK13(sK7,sK5,sK4,sK12(sK7,sK5,sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1044])]) ).
fof(f6987,plain,
( spl27_689
<=> ! [X0,X1] :
( apply_netmap(sK4,sK5,sK13(sK7,sK5,sK4,sK12(X0,sK5,X1))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK13(sK7,sK5,sK4,sK12(X0,sK5,X1)))
| sP0(X0,sK5,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_689])]) ).
fof(f7014,plain,
( apply_netmap(sK4,sK5,sK13(sK7,sK5,sK4,sK12(sK7,sK5,sK4))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK13(sK7,sK5,sK4,sK12(sK7,sK5,sK4)))
| spl27_283
| ~ spl27_689 ),
inference(resolution,[],[f6988,f2268]) ).
fof(f2268,plain,
( ~ sP0(sK7,sK5,sK4)
| spl27_283 ),
inference(avatar_component_clause,[],[f2267]) ).
fof(f6988,plain,
( ! [X0,X1] :
( sP0(X0,sK5,X1)
| apply_netmap(sK4,sK5,sK13(sK7,sK5,sK4,sK12(X0,sK5,X1))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK13(sK7,sK5,sK4,sK12(X0,sK5,X1))) )
| ~ spl27_689 ),
inference(avatar_component_clause,[],[f6987]) ).
fof(f15225,plain,
( spl27_1043
| ~ spl27_155
| ~ spl27_543 ),
inference(avatar_split_clause,[],[f5773,f5740,f1177,f15223]) ).
fof(f15223,plain,
( spl27_1043
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,sK14(X4,X2,X5,apply_netmap(X6,sK5,sK13(sK10(the_carrier(X2)),sK5,X6,X7))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,sK14(X4,X2,X5,apply_netmap(X6,sK5,sK13(sK10(the_carrier(X2)),sK5,X6,X7)))))
| sP2(X4,X2,X5)
| ~ net_str(X2,X0)
| empty(the_carrier(X2))
| ~ element(X7,the_carrier(sK5))
| empty_carrier(X2)
| apply_netmap(sK4,sK5,sK12(sK10(the_carrier(X2)),sK5,X6)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK10(the_carrier(X2)),sK5,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1043])]) ).
fof(f5773,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,sK14(X4,X2,X5,apply_netmap(X6,sK5,sK13(sK10(the_carrier(X2)),sK5,X6,X7))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,sK14(X4,X2,X5,apply_netmap(X6,sK5,sK13(sK10(the_carrier(X2)),sK5,X6,X7)))))
| sP2(X4,X2,X5)
| ~ net_str(X2,X0)
| empty(the_carrier(X2))
| ~ element(X7,the_carrier(sK5))
| empty_carrier(X2)
| apply_netmap(sK4,sK5,sK12(sK10(the_carrier(X2)),sK5,X6)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK10(the_carrier(X2)),sK5,X6)) )
| ~ spl27_155
| ~ spl27_543 ),
inference(resolution,[],[f5741,f1178]) ).
fof(f15221,plain,
( spl27_1042
| ~ spl27_155
| ~ spl27_542 ),
inference(avatar_split_clause,[],[f5769,f5736,f1177,f15219]) ).
fof(f15219,plain,
( spl27_1042
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,sK14(X4,X2,X5,apply_netmap(X6,sK5,sK13(sK9(the_carrier(X2)),sK5,X6,X7))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,sK14(X4,X2,X5,apply_netmap(X6,sK5,sK13(sK9(the_carrier(X2)),sK5,X6,X7)))))
| sP2(X4,X2,X5)
| ~ net_str(X2,X0)
| empty(the_carrier(X2))
| ~ element(X7,the_carrier(sK5))
| empty_carrier(X2)
| apply_netmap(sK4,sK5,sK12(sK9(the_carrier(X2)),sK5,X6)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK9(the_carrier(X2)),sK5,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1042])]) ).
fof(f5769,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,sK14(X4,X2,X5,apply_netmap(X6,sK5,sK13(sK9(the_carrier(X2)),sK5,X6,X7))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,sK14(X4,X2,X5,apply_netmap(X6,sK5,sK13(sK9(the_carrier(X2)),sK5,X6,X7)))))
| sP2(X4,X2,X5)
| ~ net_str(X2,X0)
| empty(the_carrier(X2))
| ~ element(X7,the_carrier(sK5))
| empty_carrier(X2)
| apply_netmap(sK4,sK5,sK12(sK9(the_carrier(X2)),sK5,X6)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK9(the_carrier(X2)),sK5,X6)) )
| ~ spl27_155
| ~ spl27_542 ),
inference(resolution,[],[f5737,f1178]) ).
fof(f15217,plain,
( spl27_1041
| ~ spl27_155
| ~ spl27_541 ),
inference(avatar_split_clause,[],[f5765,f5732,f1177,f15215]) ).
fof(f15215,plain,
( spl27_1041
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,sK14(X4,X2,X5,apply_netmap(X6,sK5,sK13(sK8(the_carrier(X2)),sK5,X6,X7))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,sK14(X4,X2,X5,apply_netmap(X6,sK5,sK13(sK8(the_carrier(X2)),sK5,X6,X7)))))
| sP2(X4,X2,X5)
| ~ net_str(X2,X0)
| empty(the_carrier(X2))
| ~ element(X7,the_carrier(sK5))
| empty_carrier(X2)
| apply_netmap(sK4,sK5,sK12(sK8(the_carrier(X2)),sK5,X6)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK8(the_carrier(X2)),sK5,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1041])]) ).
fof(f5765,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,sK14(X4,X2,X5,apply_netmap(X6,sK5,sK13(sK8(the_carrier(X2)),sK5,X6,X7))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,sK14(X4,X2,X5,apply_netmap(X6,sK5,sK13(sK8(the_carrier(X2)),sK5,X6,X7)))))
| sP2(X4,X2,X5)
| ~ net_str(X2,X0)
| empty(the_carrier(X2))
| ~ element(X7,the_carrier(sK5))
| empty_carrier(X2)
| apply_netmap(sK4,sK5,sK12(sK8(the_carrier(X2)),sK5,X6)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK8(the_carrier(X2)),sK5,X6)) )
| ~ spl27_155
| ~ spl27_541 ),
inference(resolution,[],[f5733,f1178]) ).
fof(f15213,plain,
( spl27_1040
| ~ spl27_279
| ~ spl27_514 ),
inference(avatar_split_clause,[],[f5496,f5468,f2232,f15211]) ).
fof(f15211,plain,
( spl27_1040
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ element(X0,the_carrier(sK5))
| empty(the_carrier(X1))
| ~ net_str(X1,X2)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| sP2(X3,X1,X4)
| apply_netmap(X2,X1,sK14(X3,X1,X4,apply_netmap(X5,sK5,sK13(sK10(the_carrier(X1)),sK5,X5,X0)))) = apply_on_structs(X1,X2,the_mapping(X2,X1),sK14(X3,X1,X4,apply_netmap(X5,sK5,sK13(sK10(the_carrier(X1)),sK5,X5,X0))))
| sP2(X6,sK5,X7)
| apply_netmap(sK4,sK5,sK14(X6,sK5,X7,sK12(sK10(the_carrier(X1)),sK5,X5))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X6,sK5,X7,sK12(sK10(the_carrier(X1)),sK5,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1040])]) ).
fof(f5468,plain,
( spl27_514
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( empty(the_carrier(X0))
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK10(the_carrier(X0)),X2,X3)
| ~ net_str(X0,X4)
| empty_carrier(X0)
| ~ one_sorted_str(X4)
| empty_carrier(X4)
| sP2(X5,X0,X6)
| apply_netmap(X4,X0,sK14(X5,X0,X6,apply_netmap(X3,X2,sK13(sK10(the_carrier(X0)),X2,X3,X1)))) = apply_on_structs(X0,X4,the_mapping(X4,X0),sK14(X5,X0,X6,apply_netmap(X3,X2,sK13(sK10(the_carrier(X0)),X2,X3,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_514])]) ).
fof(f5496,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ element(X0,the_carrier(sK5))
| empty(the_carrier(X1))
| ~ net_str(X1,X2)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| sP2(X3,X1,X4)
| apply_netmap(X2,X1,sK14(X3,X1,X4,apply_netmap(X5,sK5,sK13(sK10(the_carrier(X1)),sK5,X5,X0)))) = apply_on_structs(X1,X2,the_mapping(X2,X1),sK14(X3,X1,X4,apply_netmap(X5,sK5,sK13(sK10(the_carrier(X1)),sK5,X5,X0))))
| sP2(X6,sK5,X7)
| apply_netmap(sK4,sK5,sK14(X6,sK5,X7,sK12(sK10(the_carrier(X1)),sK5,X5))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X6,sK5,X7,sK12(sK10(the_carrier(X1)),sK5,X5))) )
| ~ spl27_279
| ~ spl27_514 ),
inference(resolution,[],[f5469,f2233]) ).
fof(f5469,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP0(sK10(the_carrier(X0)),X2,X3)
| ~ element(X1,the_carrier(X2))
| empty(the_carrier(X0))
| ~ net_str(X0,X4)
| empty_carrier(X0)
| ~ one_sorted_str(X4)
| empty_carrier(X4)
| sP2(X5,X0,X6)
| apply_netmap(X4,X0,sK14(X5,X0,X6,apply_netmap(X3,X2,sK13(sK10(the_carrier(X0)),X2,X3,X1)))) = apply_on_structs(X0,X4,the_mapping(X4,X0),sK14(X5,X0,X6,apply_netmap(X3,X2,sK13(sK10(the_carrier(X0)),X2,X3,X1)))) )
| ~ spl27_514 ),
inference(avatar_component_clause,[],[f5468]) ).
fof(f15209,plain,
( spl27_1039
| ~ spl27_279
| ~ spl27_513 ),
inference(avatar_split_clause,[],[f5492,f5464,f2232,f15207]) ).
fof(f15207,plain,
( spl27_1039
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ element(X0,the_carrier(sK5))
| empty(the_carrier(X1))
| ~ net_str(X1,X2)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| sP2(X3,X1,X4)
| apply_netmap(X2,X1,sK14(X3,X1,X4,apply_netmap(X5,sK5,sK13(sK9(the_carrier(X1)),sK5,X5,X0)))) = apply_on_structs(X1,X2,the_mapping(X2,X1),sK14(X3,X1,X4,apply_netmap(X5,sK5,sK13(sK9(the_carrier(X1)),sK5,X5,X0))))
| sP2(X6,sK5,X7)
| apply_netmap(sK4,sK5,sK14(X6,sK5,X7,sK12(sK9(the_carrier(X1)),sK5,X5))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X6,sK5,X7,sK12(sK9(the_carrier(X1)),sK5,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1039])]) ).
fof(f5464,plain,
( spl27_513
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( empty(the_carrier(X0))
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK9(the_carrier(X0)),X2,X3)
| ~ net_str(X0,X4)
| empty_carrier(X0)
| ~ one_sorted_str(X4)
| empty_carrier(X4)
| sP2(X5,X0,X6)
| apply_netmap(X4,X0,sK14(X5,X0,X6,apply_netmap(X3,X2,sK13(sK9(the_carrier(X0)),X2,X3,X1)))) = apply_on_structs(X0,X4,the_mapping(X4,X0),sK14(X5,X0,X6,apply_netmap(X3,X2,sK13(sK9(the_carrier(X0)),X2,X3,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_513])]) ).
fof(f5492,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ element(X0,the_carrier(sK5))
| empty(the_carrier(X1))
| ~ net_str(X1,X2)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| sP2(X3,X1,X4)
| apply_netmap(X2,X1,sK14(X3,X1,X4,apply_netmap(X5,sK5,sK13(sK9(the_carrier(X1)),sK5,X5,X0)))) = apply_on_structs(X1,X2,the_mapping(X2,X1),sK14(X3,X1,X4,apply_netmap(X5,sK5,sK13(sK9(the_carrier(X1)),sK5,X5,X0))))
| sP2(X6,sK5,X7)
| apply_netmap(sK4,sK5,sK14(X6,sK5,X7,sK12(sK9(the_carrier(X1)),sK5,X5))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X6,sK5,X7,sK12(sK9(the_carrier(X1)),sK5,X5))) )
| ~ spl27_279
| ~ spl27_513 ),
inference(resolution,[],[f5465,f2233]) ).
fof(f5465,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP0(sK9(the_carrier(X0)),X2,X3)
| ~ element(X1,the_carrier(X2))
| empty(the_carrier(X0))
| ~ net_str(X0,X4)
| empty_carrier(X0)
| ~ one_sorted_str(X4)
| empty_carrier(X4)
| sP2(X5,X0,X6)
| apply_netmap(X4,X0,sK14(X5,X0,X6,apply_netmap(X3,X2,sK13(sK9(the_carrier(X0)),X2,X3,X1)))) = apply_on_structs(X0,X4,the_mapping(X4,X0),sK14(X5,X0,X6,apply_netmap(X3,X2,sK13(sK9(the_carrier(X0)),X2,X3,X1)))) )
| ~ spl27_513 ),
inference(avatar_component_clause,[],[f5464]) ).
fof(f15205,plain,
( spl27_1038
| ~ spl27_279
| ~ spl27_512 ),
inference(avatar_split_clause,[],[f5479,f5460,f2232,f15203]) ).
fof(f15203,plain,
( spl27_1038
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ element(X0,the_carrier(sK5))
| empty(the_carrier(X1))
| ~ net_str(X1,X2)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| sP2(X3,X1,X4)
| apply_netmap(X2,X1,sK14(X3,X1,X4,apply_netmap(X5,sK5,sK13(sK8(the_carrier(X1)),sK5,X5,X0)))) = apply_on_structs(X1,X2,the_mapping(X2,X1),sK14(X3,X1,X4,apply_netmap(X5,sK5,sK13(sK8(the_carrier(X1)),sK5,X5,X0))))
| sP2(X6,sK5,X7)
| apply_netmap(sK4,sK5,sK14(X6,sK5,X7,sK12(sK8(the_carrier(X1)),sK5,X5))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X6,sK5,X7,sK12(sK8(the_carrier(X1)),sK5,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1038])]) ).
fof(f5460,plain,
( spl27_512
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( empty(the_carrier(X0))
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK8(the_carrier(X0)),X2,X3)
| ~ net_str(X0,X4)
| empty_carrier(X0)
| ~ one_sorted_str(X4)
| empty_carrier(X4)
| sP2(X5,X0,X6)
| apply_netmap(X4,X0,sK14(X5,X0,X6,apply_netmap(X3,X2,sK13(sK8(the_carrier(X0)),X2,X3,X1)))) = apply_on_structs(X0,X4,the_mapping(X4,X0),sK14(X5,X0,X6,apply_netmap(X3,X2,sK13(sK8(the_carrier(X0)),X2,X3,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_512])]) ).
fof(f5479,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ element(X0,the_carrier(sK5))
| empty(the_carrier(X1))
| ~ net_str(X1,X2)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| sP2(X3,X1,X4)
| apply_netmap(X2,X1,sK14(X3,X1,X4,apply_netmap(X5,sK5,sK13(sK8(the_carrier(X1)),sK5,X5,X0)))) = apply_on_structs(X1,X2,the_mapping(X2,X1),sK14(X3,X1,X4,apply_netmap(X5,sK5,sK13(sK8(the_carrier(X1)),sK5,X5,X0))))
| sP2(X6,sK5,X7)
| apply_netmap(sK4,sK5,sK14(X6,sK5,X7,sK12(sK8(the_carrier(X1)),sK5,X5))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X6,sK5,X7,sK12(sK8(the_carrier(X1)),sK5,X5))) )
| ~ spl27_279
| ~ spl27_512 ),
inference(resolution,[],[f5461,f2233]) ).
fof(f5461,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP0(sK8(the_carrier(X0)),X2,X3)
| ~ element(X1,the_carrier(X2))
| empty(the_carrier(X0))
| ~ net_str(X0,X4)
| empty_carrier(X0)
| ~ one_sorted_str(X4)
| empty_carrier(X4)
| sP2(X5,X0,X6)
| apply_netmap(X4,X0,sK14(X5,X0,X6,apply_netmap(X3,X2,sK13(sK8(the_carrier(X0)),X2,X3,X1)))) = apply_on_structs(X0,X4,the_mapping(X4,X0),sK14(X5,X0,X6,apply_netmap(X3,X2,sK13(sK8(the_carrier(X0)),X2,X3,X1)))) )
| ~ spl27_512 ),
inference(avatar_component_clause,[],[f5460]) ).
fof(f15198,plain,
( spl27_3
| ~ spl27_59
| spl27_1037
| ~ spl27_83
| ~ spl27_330 ),
inference(avatar_split_clause,[],[f2870,f2848,f664,f15196,f524,f244]) ).
fof(f15196,plain,
( spl27_1037
<=> ! [X2,X6,X4,X3,X0,X5,X1] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| empty_carrier(X4)
| ~ one_sorted_str(X4)
| ~ function(X5)
| ~ quasi_total(X5,the_carrier(X4),the_carrier(sK5))
| ~ relation_of2(X5,the_carrier(X4),the_carrier(sK5))
| ~ element(X6,the_carrier(X4))
| empty_carrier(X3)
| ~ one_sorted_str(X3)
| apply_netmap(X3,X2,apply_netmap(X2,sK5,sK13(X0,sK5,X1,apply_on_structs(X4,sK5,X5,X6)))) = apply_on_structs(X2,X3,the_mapping(X3,X2),apply_netmap(X2,sK5,sK13(X0,sK5,X1,apply_on_structs(X4,sK5,X5,X6))))
| ~ net_str(X2,X3)
| ~ net_str(sK5,X2)
| ~ one_sorted_str(X2)
| empty_carrier(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1037])]) ).
fof(f2870,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ net_str(X2,X3)
| empty_carrier(X2)
| ~ one_sorted_str(X2)
| ~ net_str(sK5,X2)
| apply_netmap(X3,X2,apply_netmap(X2,sK5,sK13(X0,sK5,X1,apply_on_structs(X4,sK5,X5,X6)))) = apply_on_structs(X2,X3,the_mapping(X3,X2),apply_netmap(X2,sK5,sK13(X0,sK5,X1,apply_on_structs(X4,sK5,X5,X6))))
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| ~ element(X6,the_carrier(X4))
| ~ relation_of2(X5,the_carrier(X4),the_carrier(sK5))
| ~ quasi_total(X5,the_carrier(X4),the_carrier(sK5))
| ~ function(X5)
| ~ one_sorted_str(sK5)
| empty_carrier(sK5)
| ~ one_sorted_str(X4)
| empty_carrier(X4) )
| ~ spl27_83
| ~ spl27_330 ),
inference(resolution,[],[f2849,f665]) ).
fof(f15191,plain,
( spl27_1036
| spl27_70
| ~ spl27_689 ),
inference(avatar_split_clause,[],[f7013,f6987,f593,f15188]) ).
fof(f15188,plain,
( spl27_1036
<=> apply_netmap(sK4,sK5,sK13(sK7,sK5,sK4,sK12(sK6,sK5,sK4))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK13(sK7,sK5,sK4,sK12(sK6,sK5,sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1036])]) ).
fof(f7013,plain,
( apply_netmap(sK4,sK5,sK13(sK7,sK5,sK4,sK12(sK6,sK5,sK4))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK13(sK7,sK5,sK4,sK12(sK6,sK5,sK4)))
| spl27_70
| ~ spl27_689 ),
inference(resolution,[],[f6988,f594]) ).
fof(f15186,plain,
( spl27_3
| ~ spl27_59
| spl27_1035
| ~ spl27_83
| ~ spl27_328 ),
inference(avatar_split_clause,[],[f2830,f2802,f664,f15184,f524,f244]) ).
fof(f15184,plain,
( spl27_1035
<=> ! [X2,X6,X4,X3,X0,X5,X1,X7] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| empty_carrier(X5)
| ~ one_sorted_str(X5)
| ~ function(X6)
| ~ quasi_total(X6,the_carrier(X5),the_carrier(sK5))
| ~ relation_of2(X6,the_carrier(X5),the_carrier(sK5))
| ~ element(X7,the_carrier(X5))
| empty_carrier(X2)
| sP2(X3,sK5,X4)
| apply_netmap(X2,sK5,sK14(X3,sK5,X4,sK13(X0,sK5,X1,apply_on_structs(X5,sK5,X6,X7)))) = apply_on_structs(sK5,X2,the_mapping(X2,sK5),sK14(X3,sK5,X4,sK13(X0,sK5,X1,apply_on_structs(X5,sK5,X6,X7))))
| ~ net_str(sK5,X2)
| ~ one_sorted_str(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1035])]) ).
fof(f2830,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ net_str(sK5,X2)
| ~ one_sorted_str(X2)
| apply_netmap(X2,sK5,sK14(X3,sK5,X4,sK13(X0,sK5,X1,apply_on_structs(X5,sK5,X6,X7)))) = apply_on_structs(sK5,X2,the_mapping(X2,sK5),sK14(X3,sK5,X4,sK13(X0,sK5,X1,apply_on_structs(X5,sK5,X6,X7))))
| sP2(X3,sK5,X4)
| empty_carrier(X2)
| ~ element(X7,the_carrier(X5))
| ~ relation_of2(X6,the_carrier(X5),the_carrier(sK5))
| ~ quasi_total(X6,the_carrier(X5),the_carrier(sK5))
| ~ function(X6)
| ~ one_sorted_str(sK5)
| empty_carrier(sK5)
| ~ one_sorted_str(X5)
| empty_carrier(X5) )
| ~ spl27_83
| ~ spl27_328 ),
inference(resolution,[],[f2803,f665]) ).
fof(f15179,plain,
( spl27_3
| ~ spl27_59
| spl27_1034
| ~ spl27_83
| ~ spl27_327 ),
inference(avatar_split_clause,[],[f2784,f2762,f664,f15177,f524,f244]) ).
fof(f15177,plain,
( spl27_1034
<=> ! [X3,X4,X0,X5,X2,X1] :
( apply_netmap(X0,X1,apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,apply_on_structs(X3,sK5,X4,X5)))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,apply_on_structs(X3,sK5,X4,X5))))
| empty_carrier(X3)
| ~ one_sorted_str(X3)
| ~ function(X4)
| ~ quasi_total(X4,the_carrier(X3),the_carrier(sK5))
| ~ relation_of2(X4,the_carrier(X3),the_carrier(sK5))
| ~ element(X5,the_carrier(X3))
| apply_netmap(sK4,sK5,sK12(the_carrier(X1),sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X1),sK5,X2))
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty_carrier(X1)
| ~ net_str(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1034])]) ).
fof(f2784,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( apply_netmap(X0,X1,apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,apply_on_structs(X3,sK5,X4,X5)))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,apply_on_structs(X3,sK5,X4,X5))))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(sK4,sK5,sK12(the_carrier(X1),sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X1),sK5,X2))
| ~ element(X5,the_carrier(X3))
| ~ relation_of2(X4,the_carrier(X3),the_carrier(sK5))
| ~ quasi_total(X4,the_carrier(X3),the_carrier(sK5))
| ~ function(X4)
| ~ one_sorted_str(sK5)
| empty_carrier(sK5)
| ~ one_sorted_str(X3)
| empty_carrier(X3) )
| ~ spl27_83
| ~ spl27_327 ),
inference(resolution,[],[f2763,f665]) ).
fof(f15104,plain,
( spl27_1033
| ~ spl27_155
| ~ spl27_538 ),
inference(avatar_split_clause,[],[f5720,f5712,f1177,f15102]) ).
fof(f15102,plain,
( spl27_1033
<=> ! [X2,X4,X0,X5,X3,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X2,X3,apply_netmap(X4,sK5,sK13(sK16(X3),sK5,X4,X5))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X2,X3,apply_netmap(X4,sK5,sK13(sK16(X3),sK5,X4,X5)))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| ~ net_str(X1,X0)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| ~ one_sorted_str(X3)
| ~ element(X5,the_carrier(sK5))
| empty_carrier(X1)
| apply_netmap(sK4,sK5,sK12(sK16(X3),sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK16(X3),sK5,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1033])]) ).
fof(f5720,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X2,X3,apply_netmap(X4,sK5,sK13(sK16(X3),sK5,X4,X5))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X2,X3,apply_netmap(X4,sK5,sK13(sK16(X3),sK5,X4,X5)))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| ~ net_str(X1,X0)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| ~ one_sorted_str(X3)
| ~ element(X5,the_carrier(sK5))
| empty_carrier(X1)
| apply_netmap(sK4,sK5,sK12(sK16(X3),sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK16(X3),sK5,X4)) )
| ~ spl27_155
| ~ spl27_538 ),
inference(resolution,[],[f5713,f1178]) ).
fof(f15038,plain,
( spl27_3
| spl27_1032
| ~ spl27_279
| ~ spl27_509 ),
inference(avatar_split_clause,[],[f5410,f5324,f2232,f15036,f244]) ).
fof(f15036,plain,
( spl27_1032
<=> ! [X5,X6,X4,X2,X0,X3,X1,X7] :
( ~ one_sorted_str(X0)
| apply_netmap(sK4,sK5,sK14(X6,sK5,X7,sK12(X3,sK5,X4))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X6,sK5,X7,sK12(X3,sK5,X4)))
| sP2(X6,sK5,X7)
| empty_carrier(X1)
| ~ element(X5,the_carrier(sK5))
| ~ one_sorted_str(X2)
| ~ net_str(sK5,X2)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X1)
| empty_carrier(X2)
| ~ net_str(X2,X1)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X2,sK5,sK13(X3,sK5,X4,X5)))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X2,sK5,sK13(X3,sK5,X4,X5))))
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1032])]) ).
fof(f5324,plain,
( spl27_509
<=> ! [X5,X3,X4,X2,X0,X6,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,sK13(X4,X3,X5,X6)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,sK13(X4,X3,X5,X6))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| ~ element(X6,the_carrier(X3))
| ~ sP0(X4,X3,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_509])]) ).
fof(f5410,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X2,sK5,sK13(X3,sK5,X4,X5)))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X2,sK5,sK13(X3,sK5,X4,X5))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| ~ net_str(X1,X0)
| ~ net_str(sK5,X2)
| empty_carrier(sK5)
| ~ one_sorted_str(X2)
| ~ element(X5,the_carrier(sK5))
| empty_carrier(X1)
| sP2(X6,sK5,X7)
| apply_netmap(sK4,sK5,sK14(X6,sK5,X7,sK12(X3,sK5,X4))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X6,sK5,X7,sK12(X3,sK5,X4))) )
| ~ spl27_279
| ~ spl27_509 ),
inference(resolution,[],[f5325,f2233]) ).
fof(f5325,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP0(X4,X3,X5)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,sK13(X4,X3,X5,X6)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,sK13(X4,X3,X5,X6))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| ~ element(X6,the_carrier(X3))
| empty_carrier(X0) )
| ~ spl27_509 ),
inference(avatar_component_clause,[],[f5324]) ).
fof(f14960,plain,
( spl27_3
| ~ spl27_59
| spl27_1031
| ~ spl27_79
| ~ spl27_339 ),
inference(avatar_split_clause,[],[f2991,f2988,f636,f14958,f524,f244]) ).
fof(f14958,plain,
( spl27_1031
<=> ! [X2,X4,X0,X5,X3,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X4)
| ~ net_str(X4,sK5)
| ~ element(X5,the_carrier(X4))
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X3)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X3))
| empty_carrier(X1)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X1)
| empty_carrier(X2)
| ~ net_str(X2,X1)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,apply_netmap(sK5,X4,X5))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,apply_netmap(sK5,X4,X5)))))
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1031])]) ).
fof(f2991,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,apply_netmap(sK5,X4,X5))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,apply_netmap(sK5,X4,X5)))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X3)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X3))
| ~ element(X5,the_carrier(X4))
| ~ net_str(X4,sK5)
| empty_carrier(X4)
| ~ one_sorted_str(sK5)
| empty_carrier(sK5) )
| ~ spl27_79
| ~ spl27_339 ),
inference(resolution,[],[f2989,f637]) ).
fof(f14956,plain,
( spl27_1030
| ~ spl27_145
| ~ spl27_197 ),
inference(avatar_split_clause,[],[f1673,f1497,f1073,f14954]) ).
fof(f1073,plain,
( spl27_145
<=> ! [X2,X4,X0,X3,X1] :
( ~ in(apply_netmap(X0,X1,sK13(X2,X1,X3,sK12(X4,X1,X0))),X4)
| sP0(X4,X1,X0)
| ~ element(sK13(X2,X1,X3,sK12(X4,X1,X0)),the_carrier(X1))
| ~ element(sK12(X4,X1,X0),the_carrier(X1))
| ~ sP0(X2,X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_145])]) ).
fof(f1497,plain,
( spl27_197
<=> ! [X2,X0,X1] :
( ~ element(X0,the_carrier(X1))
| in(apply_netmap(X2,X1,sK13(sK6,X1,X2,X0)),sK7)
| ~ sP0(sK6,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_197])]) ).
fof(f1673,plain,
( ! [X0,X1] :
( ~ element(sK12(sK7,X0,X1),the_carrier(X0))
| ~ sP0(sK6,X0,X1)
| sP0(sK7,X0,X1)
| ~ element(sK13(sK6,X0,X1,sK12(sK7,X0,X1)),the_carrier(X0)) )
| ~ spl27_145
| ~ spl27_197 ),
inference(duplicate_literal_removal,[],[f1669]) ).
fof(f1669,plain,
( ! [X0,X1] :
( ~ element(sK12(sK7,X0,X1),the_carrier(X0))
| ~ sP0(sK6,X0,X1)
| sP0(sK7,X0,X1)
| ~ element(sK13(sK6,X0,X1,sK12(sK7,X0,X1)),the_carrier(X0))
| ~ element(sK12(sK7,X0,X1),the_carrier(X0))
| ~ sP0(sK6,X0,X1) )
| ~ spl27_145
| ~ spl27_197 ),
inference(resolution,[],[f1498,f1074]) ).
fof(f1074,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ in(apply_netmap(X0,X1,sK13(X2,X1,X3,sK12(X4,X1,X0))),X4)
| sP0(X4,X1,X0)
| ~ element(sK13(X2,X1,X3,sK12(X4,X1,X0)),the_carrier(X1))
| ~ element(sK12(X4,X1,X0),the_carrier(X1))
| ~ sP0(X2,X1,X3) )
| ~ spl27_145 ),
inference(avatar_component_clause,[],[f1073]) ).
fof(f1498,plain,
( ! [X2,X0,X1] :
( in(apply_netmap(X2,X1,sK13(sK6,X1,X2,X0)),sK7)
| ~ element(X0,the_carrier(X1))
| ~ sP0(sK6,X1,X2) )
| ~ spl27_197 ),
inference(avatar_component_clause,[],[f1497]) ).
fof(f14952,plain,
( spl27_1029
| ~ spl27_187
| ~ spl27_330 ),
inference(avatar_split_clause,[],[f2859,f2848,f1405,f14950]) ).
fof(f14950,plain,
( spl27_1029
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ net_str(X2,X3)
| empty_carrier(X2)
| ~ one_sorted_str(X2)
| ~ net_str(sK5,X2)
| apply_netmap(X3,X2,apply_netmap(X2,sK5,sK13(X0,sK5,X1,apply_netmap(X4,X5,sK13(sK17(powerset(the_carrier(sK5))),X5,X4,X6))))) = apply_on_structs(X2,X3,the_mapping(X3,X2),apply_netmap(X2,sK5,sK13(X0,sK5,X1,apply_netmap(X4,X5,sK13(sK17(powerset(the_carrier(sK5))),X5,X4,X6)))))
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| ~ element(X6,the_carrier(X5))
| ~ sP0(sK17(powerset(the_carrier(sK5))),X5,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1029])]) ).
fof(f2859,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ net_str(X2,X3)
| empty_carrier(X2)
| ~ one_sorted_str(X2)
| ~ net_str(sK5,X2)
| apply_netmap(X3,X2,apply_netmap(X2,sK5,sK13(X0,sK5,X1,apply_netmap(X4,X5,sK13(sK17(powerset(the_carrier(sK5))),X5,X4,X6))))) = apply_on_structs(X2,X3,the_mapping(X3,X2),apply_netmap(X2,sK5,sK13(X0,sK5,X1,apply_netmap(X4,X5,sK13(sK17(powerset(the_carrier(sK5))),X5,X4,X6)))))
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| ~ element(X6,the_carrier(X5))
| ~ sP0(sK17(powerset(the_carrier(sK5))),X5,X4) )
| ~ spl27_187
| ~ spl27_330 ),
inference(resolution,[],[f2849,f1406]) ).
fof(f14939,plain,
( spl27_290
| spl27_1028
| ~ spl27_190
| ~ spl27_330 ),
inference(avatar_split_clause,[],[f2858,f2848,f1417,f14937,f2337]) ).
fof(f14937,plain,
( spl27_1028
<=> ! [X2,X6,X4,X3,X0,X5,X1] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ sP0(sK10(the_carrier(sK5)),X5,X4)
| ~ element(X6,the_carrier(X5))
| empty_carrier(X3)
| ~ one_sorted_str(X3)
| apply_netmap(X3,X2,apply_netmap(X2,sK5,sK13(X0,sK5,X1,apply_netmap(X4,X5,sK13(sK10(the_carrier(sK5)),X5,X4,X6))))) = apply_on_structs(X2,X3,the_mapping(X3,X2),apply_netmap(X2,sK5,sK13(X0,sK5,X1,apply_netmap(X4,X5,sK13(sK10(the_carrier(sK5)),X5,X4,X6)))))
| ~ net_str(X2,X3)
| ~ net_str(sK5,X2)
| ~ one_sorted_str(X2)
| empty_carrier(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1028])]) ).
fof(f2858,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ net_str(X2,X3)
| empty_carrier(X2)
| ~ one_sorted_str(X2)
| ~ net_str(sK5,X2)
| apply_netmap(X3,X2,apply_netmap(X2,sK5,sK13(X0,sK5,X1,apply_netmap(X4,X5,sK13(sK10(the_carrier(sK5)),X5,X4,X6))))) = apply_on_structs(X2,X3,the_mapping(X3,X2),apply_netmap(X2,sK5,sK13(X0,sK5,X1,apply_netmap(X4,X5,sK13(sK10(the_carrier(sK5)),X5,X4,X6)))))
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| empty(the_carrier(sK5))
| ~ element(X6,the_carrier(X5))
| ~ sP0(sK10(the_carrier(sK5)),X5,X4) )
| ~ spl27_190
| ~ spl27_330 ),
inference(resolution,[],[f2849,f1418]) ).
fof(f14926,plain,
( spl27_290
| spl27_1027
| ~ spl27_189
| ~ spl27_330 ),
inference(avatar_split_clause,[],[f2857,f2848,f1413,f14924,f2337]) ).
fof(f14924,plain,
( spl27_1027
<=> ! [X2,X6,X4,X3,X0,X5,X1] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ sP0(sK9(the_carrier(sK5)),X5,X4)
| ~ element(X6,the_carrier(X5))
| empty_carrier(X3)
| ~ one_sorted_str(X3)
| apply_netmap(X3,X2,apply_netmap(X2,sK5,sK13(X0,sK5,X1,apply_netmap(X4,X5,sK13(sK9(the_carrier(sK5)),X5,X4,X6))))) = apply_on_structs(X2,X3,the_mapping(X3,X2),apply_netmap(X2,sK5,sK13(X0,sK5,X1,apply_netmap(X4,X5,sK13(sK9(the_carrier(sK5)),X5,X4,X6)))))
| ~ net_str(X2,X3)
| ~ net_str(sK5,X2)
| ~ one_sorted_str(X2)
| empty_carrier(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1027])]) ).
fof(f2857,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ net_str(X2,X3)
| empty_carrier(X2)
| ~ one_sorted_str(X2)
| ~ net_str(sK5,X2)
| apply_netmap(X3,X2,apply_netmap(X2,sK5,sK13(X0,sK5,X1,apply_netmap(X4,X5,sK13(sK9(the_carrier(sK5)),X5,X4,X6))))) = apply_on_structs(X2,X3,the_mapping(X3,X2),apply_netmap(X2,sK5,sK13(X0,sK5,X1,apply_netmap(X4,X5,sK13(sK9(the_carrier(sK5)),X5,X4,X6)))))
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| empty(the_carrier(sK5))
| ~ element(X6,the_carrier(X5))
| ~ sP0(sK9(the_carrier(sK5)),X5,X4) )
| ~ spl27_189
| ~ spl27_330 ),
inference(resolution,[],[f2849,f1414]) ).
fof(f14913,plain,
( spl27_290
| spl27_1026
| ~ spl27_188
| ~ spl27_330 ),
inference(avatar_split_clause,[],[f2856,f2848,f1409,f14911,f2337]) ).
fof(f14911,plain,
( spl27_1026
<=> ! [X2,X6,X4,X3,X0,X5,X1] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ sP0(sK8(the_carrier(sK5)),X5,X4)
| ~ element(X6,the_carrier(X5))
| empty_carrier(X3)
| ~ one_sorted_str(X3)
| apply_netmap(X3,X2,apply_netmap(X2,sK5,sK13(X0,sK5,X1,apply_netmap(X4,X5,sK13(sK8(the_carrier(sK5)),X5,X4,X6))))) = apply_on_structs(X2,X3,the_mapping(X3,X2),apply_netmap(X2,sK5,sK13(X0,sK5,X1,apply_netmap(X4,X5,sK13(sK8(the_carrier(sK5)),X5,X4,X6)))))
| ~ net_str(X2,X3)
| ~ net_str(sK5,X2)
| ~ one_sorted_str(X2)
| empty_carrier(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1026])]) ).
fof(f2856,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ net_str(X2,X3)
| empty_carrier(X2)
| ~ one_sorted_str(X2)
| ~ net_str(sK5,X2)
| apply_netmap(X3,X2,apply_netmap(X2,sK5,sK13(X0,sK5,X1,apply_netmap(X4,X5,sK13(sK8(the_carrier(sK5)),X5,X4,X6))))) = apply_on_structs(X2,X3,the_mapping(X3,X2),apply_netmap(X2,sK5,sK13(X0,sK5,X1,apply_netmap(X4,X5,sK13(sK8(the_carrier(sK5)),X5,X4,X6)))))
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| empty(the_carrier(sK5))
| ~ element(X6,the_carrier(X5))
| ~ sP0(sK8(the_carrier(sK5)),X5,X4) )
| ~ spl27_188
| ~ spl27_330 ),
inference(resolution,[],[f2849,f1410]) ).
fof(f14878,plain,
( spl27_1025
| ~ spl27_35
| ~ spl27_348 ),
inference(avatar_split_clause,[],[f3205,f3145,f396,f14876]) ).
fof(f14876,plain,
( spl27_1025
<=> ! [X0,X3,X2,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(sK10(X2),X1,X3)
| empty(X2)
| ~ in(X2,apply_netmap(X3,X1,sK13(sK10(X2),X1,X3,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1025])]) ).
fof(f3205,plain,
( ! [X2,X3,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(sK10(X2),X1,X3)
| empty(X2)
| ~ in(X2,apply_netmap(X3,X1,sK13(sK10(X2),X1,X3,X0))) )
| ~ spl27_35
| ~ spl27_348 ),
inference(resolution,[],[f3146,f397]) ).
fof(f14874,plain,
( spl27_1024
| ~ spl27_35
| ~ spl27_347 ),
inference(avatar_split_clause,[],[f3178,f3141,f396,f14872]) ).
fof(f14872,plain,
( spl27_1024
<=> ! [X0,X3,X2,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(sK9(X2),X1,X3)
| empty(X2)
| ~ in(X2,apply_netmap(X3,X1,sK13(sK9(X2),X1,X3,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1024])]) ).
fof(f3178,plain,
( ! [X2,X3,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(sK9(X2),X1,X3)
| empty(X2)
| ~ in(X2,apply_netmap(X3,X1,sK13(sK9(X2),X1,X3,X0))) )
| ~ spl27_35
| ~ spl27_347 ),
inference(resolution,[],[f3142,f397]) ).
fof(f14870,plain,
( spl27_1023
| ~ spl27_35
| ~ spl27_345 ),
inference(avatar_split_clause,[],[f3151,f3104,f396,f14868]) ).
fof(f14868,plain,
( spl27_1023
<=> ! [X0,X3,X2,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(sK8(X2),X1,X3)
| empty(X2)
| ~ in(X2,apply_netmap(X3,X1,sK13(sK8(X2),X1,X3,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1023])]) ).
fof(f3151,plain,
( ! [X2,X3,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(sK8(X2),X1,X3)
| empty(X2)
| ~ in(X2,apply_netmap(X3,X1,sK13(sK8(X2),X1,X3,X0))) )
| ~ spl27_35
| ~ spl27_345 ),
inference(resolution,[],[f3105,f397]) ).
fof(f14866,plain,
( spl27_1022
| ~ spl27_91
| ~ spl27_341 ),
inference(avatar_split_clause,[],[f3055,f3037,f709,f14864]) ).
fof(f14864,plain,
( spl27_1022
<=> ! [X0,X3,X2,X1] :
( ~ empty(X0)
| ~ sP0(powerset(X0),X1,X2)
| ~ element(X3,the_carrier(X1))
| sK24 = apply_netmap(X2,X1,sK13(powerset(X0),X1,X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1022])]) ).
fof(f3055,plain,
( ! [X2,X3,X0,X1] :
( ~ empty(X0)
| ~ sP0(powerset(X0),X1,X2)
| ~ element(X3,the_carrier(X1))
| sK24 = apply_netmap(X2,X1,sK13(powerset(X0),X1,X2,X3)) )
| ~ spl27_91
| ~ spl27_341 ),
inference(resolution,[],[f3038,f710]) ).
fof(f14658,plain,
( spl27_1021
| ~ spl27_154
| ~ spl27_1008 ),
inference(avatar_split_clause,[],[f14413,f14343,f1170,f14656]) ).
fof(f14656,plain,
( spl27_1021
<=> ! [X0,X1] :
( apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK17(powerset(X0)),sK5,X1)) = apply(the_mapping(sK4,sK5),sK12(sK17(powerset(X0)),sK5,X1))
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1021])]) ).
fof(f1170,plain,
( spl27_154
<=> ! [X0] :
( ~ empty(X0)
| empty(sK17(powerset(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_154])]) ).
fof(f14343,plain,
( spl27_1008
<=> ! [X0,X1] :
( apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1)) = apply(the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1008])]) ).
fof(f14413,plain,
( ! [X0,X1] :
( apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK17(powerset(X0)),sK5,X1)) = apply(the_mapping(sK4,sK5),sK12(sK17(powerset(X0)),sK5,X1))
| ~ empty(X0) )
| ~ spl27_154
| ~ spl27_1008 ),
inference(resolution,[],[f14344,f1171]) ).
fof(f1171,plain,
( ! [X0] :
( empty(sK17(powerset(X0)))
| ~ empty(X0) )
| ~ spl27_154 ),
inference(avatar_component_clause,[],[f1170]) ).
fof(f14344,plain,
( ! [X0,X1] :
( ~ empty(X0)
| apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1)) = apply(the_mapping(sK4,sK5),sK12(X0,sK5,X1)) )
| ~ spl27_1008 ),
inference(avatar_component_clause,[],[f14343]) ).
fof(f14654,plain,
( spl27_1020
| ~ spl27_155
| ~ spl27_535 ),
inference(avatar_split_clause,[],[f5700,f5692,f1177,f14652]) ).
fof(f14652,plain,
( spl27_1020
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,sK14(X3,X2,X4,apply_netmap(X5,sK5,sK13(sK16(X2),sK5,X5,X6))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,sK14(X3,X2,X4,apply_netmap(X5,sK5,sK13(sK16(X2),sK5,X5,X6)))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| sP2(X3,X2,X4)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X2)
| ~ element(X6,the_carrier(sK5))
| empty_carrier(X1)
| apply_netmap(sK4,sK5,sK12(sK16(X2),sK5,X5)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK16(X2),sK5,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1020])]) ).
fof(f5700,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,sK14(X3,X2,X4,apply_netmap(X5,sK5,sK13(sK16(X2),sK5,X5,X6))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,sK14(X3,X2,X4,apply_netmap(X5,sK5,sK13(sK16(X2),sK5,X5,X6)))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| sP2(X3,X2,X4)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X2)
| ~ element(X6,the_carrier(sK5))
| empty_carrier(X1)
| apply_netmap(sK4,sK5,sK12(sK16(X2),sK5,X5)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK16(X2),sK5,X5)) )
| ~ spl27_155
| ~ spl27_535 ),
inference(resolution,[],[f5693,f1178]) ).
fof(f14650,plain,
( spl27_1019
| ~ spl27_155
| ~ spl27_534 ),
inference(avatar_split_clause,[],[f5696,f5688,f1177,f14648]) ).
fof(f14648,plain,
( spl27_1019
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X2,X4,apply_netmap(X5,sK5,sK13(sK16(X4),sK5,X5,X6))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X2,X4,apply_netmap(X5,sK5,sK13(sK16(X4),sK5,X5,X6)))))
| ~ net_str(X2,X0)
| ~ net_str(X4,X2)
| empty_carrier(X4)
| ~ one_sorted_str(X2)
| ~ one_sorted_str(X4)
| ~ element(X6,the_carrier(sK5))
| empty_carrier(X2)
| apply_netmap(sK4,sK5,sK12(sK16(X4),sK5,X5)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK16(X4),sK5,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1019])]) ).
fof(f5696,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X2,X4,apply_netmap(X5,sK5,sK13(sK16(X4),sK5,X5,X6))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X2,X4,apply_netmap(X5,sK5,sK13(sK16(X4),sK5,X5,X6)))))
| ~ net_str(X2,X0)
| ~ net_str(X4,X2)
| empty_carrier(X4)
| ~ one_sorted_str(X2)
| ~ one_sorted_str(X4)
| ~ element(X6,the_carrier(sK5))
| empty_carrier(X2)
| apply_netmap(sK4,sK5,sK12(sK16(X4),sK5,X5)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK16(X4),sK5,X5)) )
| ~ spl27_155
| ~ spl27_534 ),
inference(resolution,[],[f5689,f1178]) ).
fof(f14584,plain,
( spl27_3
| spl27_1018
| ~ spl27_279
| ~ spl27_505 ),
inference(avatar_split_clause,[],[f5270,f5178,f2232,f14582,f244]) ).
fof(f14582,plain,
( spl27_1018
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ one_sorted_str(X0)
| apply_netmap(sK4,sK5,sK14(X7,sK5,X8,sK12(X4,sK5,X5))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X7,sK5,X8,sK12(X4,sK5,X5)))
| sP2(X7,sK5,X8)
| empty_carrier(X1)
| ~ element(X6,the_carrier(sK5))
| ~ net_str(X1,X0)
| sP2(X2,sK5,X3)
| ~ one_sorted_str(X1)
| ~ net_str(sK5,X1)
| apply_netmap(X0,X1,apply_netmap(X1,sK5,sK14(X2,sK5,X3,sK13(X4,sK5,X5,X6)))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,sK5,sK14(X2,sK5,X3,sK13(X4,sK5,X5,X6))))
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1018])]) ).
fof(f5178,plain,
( spl27_505
<=> ! [X2,X3,X4,X0,X6,X5,X1,X7] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,sK13(X5,X2,X6,X7)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,sK13(X5,X2,X6,X7))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| ~ element(X7,the_carrier(X2))
| ~ sP0(X5,X2,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_505])]) ).
fof(f5270,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,sK5,sK14(X2,sK5,X3,sK13(X4,sK5,X5,X6)))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,sK5,sK14(X2,sK5,X3,sK13(X4,sK5,X5,X6))))
| ~ net_str(sK5,X1)
| empty_carrier(sK5)
| ~ one_sorted_str(X1)
| sP2(X2,sK5,X3)
| ~ net_str(X1,X0)
| ~ element(X6,the_carrier(sK5))
| empty_carrier(X1)
| sP2(X7,sK5,X8)
| apply_netmap(sK4,sK5,sK14(X7,sK5,X8,sK12(X4,sK5,X5))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X7,sK5,X8,sK12(X4,sK5,X5))) )
| ~ spl27_279
| ~ spl27_505 ),
inference(resolution,[],[f5179,f2233]) ).
fof(f5179,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP0(X5,X2,X6)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,sK13(X5,X2,X6,X7)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,sK13(X5,X2,X6,X7))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| ~ element(X7,the_carrier(X2))
| empty_carrier(X0) )
| ~ spl27_505 ),
inference(avatar_component_clause,[],[f5178]) ).
fof(f14518,plain,
( spl27_3
| spl27_1017
| ~ spl27_279
| ~ spl27_503 ),
inference(avatar_split_clause,[],[f5225,f5170,f2232,f14516,f244]) ).
fof(f14516,plain,
( spl27_1017
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ one_sorted_str(X0)
| apply_netmap(sK4,sK5,sK14(X7,sK5,X8,sK12(X4,sK5,X5))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X7,sK5,X8,sK12(X4,sK5,X5)))
| sP2(X7,sK5,X8)
| empty_carrier(X2)
| ~ element(X6,the_carrier(sK5))
| ~ one_sorted_str(X2)
| ~ net_str(sK5,X2)
| ~ net_str(X2,X0)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X2,sK5,sK13(X4,sK5,X5,X6)))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X2,sK5,sK13(X4,sK5,X5,X6))))
| sP2(X1,X2,X3)
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1017])]) ).
fof(f5170,plain,
( spl27_503
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,sK13(X5,X4,X6,X7)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,sK13(X5,X4,X6,X7))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| ~ element(X7,the_carrier(X4))
| ~ sP0(X5,X4,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_503])]) ).
fof(f5225,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X2,sK5,sK13(X4,sK5,X5,X6)))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X2,sK5,sK13(X4,sK5,X5,X6))))
| ~ net_str(X2,X0)
| ~ net_str(sK5,X2)
| empty_carrier(sK5)
| ~ one_sorted_str(X2)
| ~ element(X6,the_carrier(sK5))
| empty_carrier(X2)
| sP2(X7,sK5,X8)
| apply_netmap(sK4,sK5,sK14(X7,sK5,X8,sK12(X4,sK5,X5))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X7,sK5,X8,sK12(X4,sK5,X5))) )
| ~ spl27_279
| ~ spl27_503 ),
inference(resolution,[],[f5171,f2233]) ).
fof(f5171,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP0(X5,X4,X6)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,sK13(X5,X4,X6,X7)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,sK13(X5,X4,X6,X7))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| ~ element(X7,the_carrier(X4))
| empty_carrier(X0) )
| ~ spl27_503 ),
inference(avatar_component_clause,[],[f5170]) ).
fof(f14514,plain,
( spl27_1016
| ~ spl27_279
| ~ spl27_497 ),
inference(avatar_split_clause,[],[f5116,f5092,f2232,f14512]) ).
fof(f14512,plain,
( spl27_1016
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( empty_carrier(X0)
| ~ element(X1,the_carrier(sK5))
| ~ one_sorted_str(X0)
| ~ net_str(X2,X3)
| empty_carrier(X2)
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| apply_netmap(X3,X2,apply_netmap(X2,X0,apply_netmap(X4,sK5,sK13(sK16(X0),sK5,X4,X1)))) = apply_on_structs(X2,X3,the_mapping(X3,X2),apply_netmap(X2,X0,apply_netmap(X4,sK5,sK13(sK16(X0),sK5,X4,X1))))
| ~ net_str(X0,X2)
| ~ one_sorted_str(X2)
| sP2(X5,sK5,X6)
| apply_netmap(sK4,sK5,sK14(X5,sK5,X6,sK12(sK16(X0),sK5,X4))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X5,sK5,X6,sK12(sK16(X0),sK5,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1016])]) ).
fof(f5092,plain,
( spl27_497
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK16(X0),X2,X3)
| ~ net_str(X4,X5)
| empty_carrier(X4)
| ~ one_sorted_str(X5)
| empty_carrier(X5)
| apply_netmap(X5,X4,apply_netmap(X4,X0,apply_netmap(X3,X2,sK13(sK16(X0),X2,X3,X1)))) = apply_on_structs(X4,X5,the_mapping(X5,X4),apply_netmap(X4,X0,apply_netmap(X3,X2,sK13(sK16(X0),X2,X3,X1))))
| ~ net_str(X0,X4)
| ~ one_sorted_str(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_497])]) ).
fof(f5116,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( empty_carrier(X0)
| ~ element(X1,the_carrier(sK5))
| ~ one_sorted_str(X0)
| ~ net_str(X2,X3)
| empty_carrier(X2)
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| apply_netmap(X3,X2,apply_netmap(X2,X0,apply_netmap(X4,sK5,sK13(sK16(X0),sK5,X4,X1)))) = apply_on_structs(X2,X3,the_mapping(X3,X2),apply_netmap(X2,X0,apply_netmap(X4,sK5,sK13(sK16(X0),sK5,X4,X1))))
| ~ net_str(X0,X2)
| ~ one_sorted_str(X2)
| sP2(X5,sK5,X6)
| apply_netmap(sK4,sK5,sK14(X5,sK5,X6,sK12(sK16(X0),sK5,X4))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X5,sK5,X6,sK12(sK16(X0),sK5,X4))) )
| ~ spl27_279
| ~ spl27_497 ),
inference(resolution,[],[f5093,f2233]) ).
fof(f5093,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sP0(sK16(X0),X2,X3)
| empty_carrier(X0)
| ~ element(X1,the_carrier(X2))
| ~ one_sorted_str(X0)
| ~ net_str(X4,X5)
| empty_carrier(X4)
| ~ one_sorted_str(X5)
| empty_carrier(X5)
| apply_netmap(X5,X4,apply_netmap(X4,X0,apply_netmap(X3,X2,sK13(sK16(X0),X2,X3,X1)))) = apply_on_structs(X4,X5,the_mapping(X5,X4),apply_netmap(X4,X0,apply_netmap(X3,X2,sK13(sK16(X0),X2,X3,X1))))
| ~ net_str(X0,X4)
| ~ one_sorted_str(X4) )
| ~ spl27_497 ),
inference(avatar_component_clause,[],[f5092]) ).
fof(f14436,plain,
( spl27_3
| ~ spl27_59
| spl27_1015
| ~ spl27_79
| ~ spl27_338 ),
inference(avatar_split_clause,[],[f2951,f2948,f636,f14434,f524,f244]) ).
fof(f14434,plain,
( spl27_1015
<=> ! [X6,X4,X3,X0,X5,X2,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X5)
| ~ net_str(X5,sK5)
| ~ element(X6,the_carrier(X5))
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X4))
| empty_carrier(X2)
| ~ net_str(X2,X0)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,apply_netmap(sK5,X5,X6))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,apply_netmap(sK5,X5,X6)))))
| sP2(X1,X2,X3)
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1015])]) ).
fof(f2951,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,apply_netmap(sK5,X5,X6))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,apply_netmap(sK5,X5,X6)))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X4))
| ~ element(X6,the_carrier(X5))
| ~ net_str(X5,sK5)
| empty_carrier(X5)
| ~ one_sorted_str(sK5)
| empty_carrier(sK5) )
| ~ spl27_79
| ~ spl27_338 ),
inference(resolution,[],[f2949,f637]) ).
fof(f14432,plain,
( spl27_1014
| ~ spl27_187
| ~ spl27_328 ),
inference(avatar_split_clause,[],[f2819,f2802,f1405,f14430]) ).
fof(f14430,plain,
( spl27_1014
<=> ! [X6,X4,X3,X0,X7,X5,X2,X1] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ net_str(sK5,X2)
| ~ one_sorted_str(X2)
| apply_netmap(X2,sK5,sK14(X3,sK5,X4,sK13(X0,sK5,X1,apply_netmap(X5,X6,sK13(sK17(powerset(the_carrier(sK5))),X6,X5,X7))))) = apply_on_structs(sK5,X2,the_mapping(X2,sK5),sK14(X3,sK5,X4,sK13(X0,sK5,X1,apply_netmap(X5,X6,sK13(sK17(powerset(the_carrier(sK5))),X6,X5,X7)))))
| sP2(X3,sK5,X4)
| empty_carrier(X2)
| ~ element(X7,the_carrier(X6))
| ~ sP0(sK17(powerset(the_carrier(sK5))),X6,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1014])]) ).
fof(f2819,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ net_str(sK5,X2)
| ~ one_sorted_str(X2)
| apply_netmap(X2,sK5,sK14(X3,sK5,X4,sK13(X0,sK5,X1,apply_netmap(X5,X6,sK13(sK17(powerset(the_carrier(sK5))),X6,X5,X7))))) = apply_on_structs(sK5,X2,the_mapping(X2,sK5),sK14(X3,sK5,X4,sK13(X0,sK5,X1,apply_netmap(X5,X6,sK13(sK17(powerset(the_carrier(sK5))),X6,X5,X7)))))
| sP2(X3,sK5,X4)
| empty_carrier(X2)
| ~ element(X7,the_carrier(X6))
| ~ sP0(sK17(powerset(the_carrier(sK5))),X6,X5) )
| ~ spl27_187
| ~ spl27_328 ),
inference(resolution,[],[f2803,f1406]) ).
fof(f14401,plain,
( spl27_290
| spl27_1013
| ~ spl27_190
| ~ spl27_328 ),
inference(avatar_split_clause,[],[f2818,f2802,f1417,f14399,f2337]) ).
fof(f14399,plain,
( spl27_1013
<=> ! [X2,X6,X4,X3,X0,X5,X1,X7] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ sP0(sK10(the_carrier(sK5)),X6,X5)
| ~ element(X7,the_carrier(X6))
| empty_carrier(X2)
| sP2(X3,sK5,X4)
| apply_netmap(X2,sK5,sK14(X3,sK5,X4,sK13(X0,sK5,X1,apply_netmap(X5,X6,sK13(sK10(the_carrier(sK5)),X6,X5,X7))))) = apply_on_structs(sK5,X2,the_mapping(X2,sK5),sK14(X3,sK5,X4,sK13(X0,sK5,X1,apply_netmap(X5,X6,sK13(sK10(the_carrier(sK5)),X6,X5,X7)))))
| ~ net_str(sK5,X2)
| ~ one_sorted_str(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1013])]) ).
fof(f2818,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ net_str(sK5,X2)
| ~ one_sorted_str(X2)
| apply_netmap(X2,sK5,sK14(X3,sK5,X4,sK13(X0,sK5,X1,apply_netmap(X5,X6,sK13(sK10(the_carrier(sK5)),X6,X5,X7))))) = apply_on_structs(sK5,X2,the_mapping(X2,sK5),sK14(X3,sK5,X4,sK13(X0,sK5,X1,apply_netmap(X5,X6,sK13(sK10(the_carrier(sK5)),X6,X5,X7)))))
| sP2(X3,sK5,X4)
| empty_carrier(X2)
| empty(the_carrier(sK5))
| ~ element(X7,the_carrier(X6))
| ~ sP0(sK10(the_carrier(sK5)),X6,X5) )
| ~ spl27_190
| ~ spl27_328 ),
inference(resolution,[],[f2803,f1418]) ).
fof(f14388,plain,
( spl27_290
| spl27_1012
| ~ spl27_189
| ~ spl27_328 ),
inference(avatar_split_clause,[],[f2817,f2802,f1413,f14386,f2337]) ).
fof(f14386,plain,
( spl27_1012
<=> ! [X2,X6,X4,X3,X0,X5,X1,X7] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ sP0(sK9(the_carrier(sK5)),X6,X5)
| ~ element(X7,the_carrier(X6))
| empty_carrier(X2)
| sP2(X3,sK5,X4)
| apply_netmap(X2,sK5,sK14(X3,sK5,X4,sK13(X0,sK5,X1,apply_netmap(X5,X6,sK13(sK9(the_carrier(sK5)),X6,X5,X7))))) = apply_on_structs(sK5,X2,the_mapping(X2,sK5),sK14(X3,sK5,X4,sK13(X0,sK5,X1,apply_netmap(X5,X6,sK13(sK9(the_carrier(sK5)),X6,X5,X7)))))
| ~ net_str(sK5,X2)
| ~ one_sorted_str(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1012])]) ).
fof(f2817,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ net_str(sK5,X2)
| ~ one_sorted_str(X2)
| apply_netmap(X2,sK5,sK14(X3,sK5,X4,sK13(X0,sK5,X1,apply_netmap(X5,X6,sK13(sK9(the_carrier(sK5)),X6,X5,X7))))) = apply_on_structs(sK5,X2,the_mapping(X2,sK5),sK14(X3,sK5,X4,sK13(X0,sK5,X1,apply_netmap(X5,X6,sK13(sK9(the_carrier(sK5)),X6,X5,X7)))))
| sP2(X3,sK5,X4)
| empty_carrier(X2)
| empty(the_carrier(sK5))
| ~ element(X7,the_carrier(X6))
| ~ sP0(sK9(the_carrier(sK5)),X6,X5) )
| ~ spl27_189
| ~ spl27_328 ),
inference(resolution,[],[f2803,f1414]) ).
fof(f14375,plain,
( spl27_290
| spl27_1011
| ~ spl27_188
| ~ spl27_328 ),
inference(avatar_split_clause,[],[f2816,f2802,f1409,f14373,f2337]) ).
fof(f14373,plain,
( spl27_1011
<=> ! [X2,X6,X4,X3,X0,X5,X1,X7] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ sP0(sK8(the_carrier(sK5)),X6,X5)
| ~ element(X7,the_carrier(X6))
| empty_carrier(X2)
| sP2(X3,sK5,X4)
| apply_netmap(X2,sK5,sK14(X3,sK5,X4,sK13(X0,sK5,X1,apply_netmap(X5,X6,sK13(sK8(the_carrier(sK5)),X6,X5,X7))))) = apply_on_structs(sK5,X2,the_mapping(X2,sK5),sK14(X3,sK5,X4,sK13(X0,sK5,X1,apply_netmap(X5,X6,sK13(sK8(the_carrier(sK5)),X6,X5,X7)))))
| ~ net_str(sK5,X2)
| ~ one_sorted_str(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1011])]) ).
fof(f2816,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ net_str(sK5,X2)
| ~ one_sorted_str(X2)
| apply_netmap(X2,sK5,sK14(X3,sK5,X4,sK13(X0,sK5,X1,apply_netmap(X5,X6,sK13(sK8(the_carrier(sK5)),X6,X5,X7))))) = apply_on_structs(sK5,X2,the_mapping(X2,sK5),sK14(X3,sK5,X4,sK13(X0,sK5,X1,apply_netmap(X5,X6,sK13(sK8(the_carrier(sK5)),X6,X5,X7)))))
| sP2(X3,sK5,X4)
| empty_carrier(X2)
| empty(the_carrier(sK5))
| ~ element(X7,the_carrier(X6))
| ~ sP0(sK8(the_carrier(sK5)),X6,X5) )
| ~ spl27_188
| ~ spl27_328 ),
inference(resolution,[],[f2803,f1410]) ).
fof(f14371,plain,
( spl27_1010
| ~ spl27_187
| ~ spl27_327 ),
inference(avatar_split_clause,[],[f2773,f2762,f1405,f14369]) ).
fof(f14369,plain,
( spl27_1010
<=> ! [X3,X4,X0,X5,X2,X1] :
( apply_netmap(X0,X1,apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,apply_netmap(X3,X4,sK13(sK17(powerset(the_carrier(sK5))),X4,X3,X5))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,apply_netmap(X3,X4,sK13(sK17(powerset(the_carrier(sK5))),X4,X3,X5)))))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(sK4,sK5,sK12(the_carrier(X1),sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X1),sK5,X2))
| ~ element(X5,the_carrier(X4))
| ~ sP0(sK17(powerset(the_carrier(sK5))),X4,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1010])]) ).
fof(f2773,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( apply_netmap(X0,X1,apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,apply_netmap(X3,X4,sK13(sK17(powerset(the_carrier(sK5))),X4,X3,X5))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,apply_netmap(X3,X4,sK13(sK17(powerset(the_carrier(sK5))),X4,X3,X5)))))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(sK4,sK5,sK12(the_carrier(X1),sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X1),sK5,X2))
| ~ element(X5,the_carrier(X4))
| ~ sP0(sK17(powerset(the_carrier(sK5))),X4,X3) )
| ~ spl27_187
| ~ spl27_327 ),
inference(resolution,[],[f2763,f1406]) ).
fof(f14358,plain,
( spl27_290
| spl27_1009
| ~ spl27_190
| ~ spl27_327 ),
inference(avatar_split_clause,[],[f2772,f2762,f1417,f14356,f2337]) ).
fof(f14356,plain,
( spl27_1009
<=> ! [X3,X4,X0,X5,X2,X1] :
( apply_netmap(X0,X1,apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,apply_netmap(X3,X4,sK13(sK10(the_carrier(sK5)),X4,X3,X5))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,apply_netmap(X3,X4,sK13(sK10(the_carrier(sK5)),X4,X3,X5)))))
| ~ sP0(sK10(the_carrier(sK5)),X4,X3)
| ~ element(X5,the_carrier(X4))
| apply_netmap(sK4,sK5,sK12(the_carrier(X1),sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X1),sK5,X2))
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty_carrier(X1)
| ~ net_str(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1009])]) ).
fof(f2772,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( apply_netmap(X0,X1,apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,apply_netmap(X3,X4,sK13(sK10(the_carrier(sK5)),X4,X3,X5))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,apply_netmap(X3,X4,sK13(sK10(the_carrier(sK5)),X4,X3,X5)))))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(sK4,sK5,sK12(the_carrier(X1),sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X1),sK5,X2))
| empty(the_carrier(sK5))
| ~ element(X5,the_carrier(X4))
| ~ sP0(sK10(the_carrier(sK5)),X4,X3) )
| ~ spl27_190
| ~ spl27_327 ),
inference(resolution,[],[f2763,f1418]) ).
fof(f14345,plain,
( spl27_143
| spl27_1008
| ~ spl27_117
| ~ spl27_909 ),
inference(avatar_split_clause,[],[f12755,f10806,f875,f14343,f1041]) ).
fof(f875,plain,
( spl27_117
<=> ! [X0,X3,X2,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(X2,X1,X3)
| ~ empty(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_117])]) ).
fof(f12755,plain,
( ! [X2,X0,X1] :
( apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1)) = apply(the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ element(X2,the_carrier(sK5))
| ~ empty(X0) )
| ~ spl27_117
| ~ spl27_909 ),
inference(resolution,[],[f10807,f876]) ).
fof(f876,plain,
( ! [X2,X3,X0,X1] :
( ~ sP0(X2,X1,X3)
| ~ element(X0,the_carrier(X1))
| ~ empty(X2) )
| ~ spl27_117 ),
inference(avatar_component_clause,[],[f875]) ).
fof(f14341,plain,
( spl27_290
| spl27_1007
| ~ spl27_189
| ~ spl27_327 ),
inference(avatar_split_clause,[],[f2771,f2762,f1413,f14339,f2337]) ).
fof(f14339,plain,
( spl27_1007
<=> ! [X3,X4,X0,X5,X2,X1] :
( apply_netmap(X0,X1,apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,apply_netmap(X3,X4,sK13(sK9(the_carrier(sK5)),X4,X3,X5))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,apply_netmap(X3,X4,sK13(sK9(the_carrier(sK5)),X4,X3,X5)))))
| ~ sP0(sK9(the_carrier(sK5)),X4,X3)
| ~ element(X5,the_carrier(X4))
| apply_netmap(sK4,sK5,sK12(the_carrier(X1),sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X1),sK5,X2))
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty_carrier(X1)
| ~ net_str(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1007])]) ).
fof(f2771,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( apply_netmap(X0,X1,apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,apply_netmap(X3,X4,sK13(sK9(the_carrier(sK5)),X4,X3,X5))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,apply_netmap(X3,X4,sK13(sK9(the_carrier(sK5)),X4,X3,X5)))))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(sK4,sK5,sK12(the_carrier(X1),sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X1),sK5,X2))
| empty(the_carrier(sK5))
| ~ element(X5,the_carrier(X4))
| ~ sP0(sK9(the_carrier(sK5)),X4,X3) )
| ~ spl27_189
| ~ spl27_327 ),
inference(resolution,[],[f2763,f1414]) ).
fof(f14328,plain,
( spl27_290
| spl27_1006
| ~ spl27_188
| ~ spl27_327 ),
inference(avatar_split_clause,[],[f2770,f2762,f1409,f14326,f2337]) ).
fof(f14326,plain,
( spl27_1006
<=> ! [X3,X4,X0,X5,X2,X1] :
( apply_netmap(X0,X1,apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,apply_netmap(X3,X4,sK13(sK8(the_carrier(sK5)),X4,X3,X5))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,apply_netmap(X3,X4,sK13(sK8(the_carrier(sK5)),X4,X3,X5)))))
| ~ sP0(sK8(the_carrier(sK5)),X4,X3)
| ~ element(X5,the_carrier(X4))
| apply_netmap(sK4,sK5,sK12(the_carrier(X1),sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X1),sK5,X2))
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty_carrier(X1)
| ~ net_str(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1006])]) ).
fof(f2770,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( apply_netmap(X0,X1,apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,apply_netmap(X3,X4,sK13(sK8(the_carrier(sK5)),X4,X3,X5))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,apply_netmap(X3,X4,sK13(sK8(the_carrier(sK5)),X4,X3,X5)))))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(sK4,sK5,sK12(the_carrier(X1),sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X1),sK5,X2))
| empty(the_carrier(sK5))
| ~ element(X5,the_carrier(X4))
| ~ sP0(sK8(the_carrier(sK5)),X4,X3) )
| ~ spl27_188
| ~ spl27_327 ),
inference(resolution,[],[f2763,f1410]) ).
fof(f14138,plain,
( spl27_1005
| ~ spl27_155
| ~ spl27_531 ),
inference(avatar_split_clause,[],[f5684,f5664,f1177,f14136]) ).
fof(f14136,plain,
( spl27_1005
<=> ! [X2,X4,X0,X5,X3,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X3),sK5,X4,X5))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X3),sK5,X4,X5)))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| ~ net_str(X1,X0)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| empty_carrier(X1)
| ~ element(X5,the_carrier(sK5))
| apply_netmap(sK4,sK5,sK12(the_carrier(X3),sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X3),sK5,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1005])]) ).
fof(f5684,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X3),sK5,X4,X5))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X3),sK5,X4,X5)))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| ~ net_str(X1,X0)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| empty_carrier(X1)
| ~ element(X5,the_carrier(sK5))
| apply_netmap(sK4,sK5,sK12(the_carrier(X3),sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X3),sK5,X4)) )
| ~ spl27_155
| ~ spl27_531 ),
inference(resolution,[],[f5665,f1178]) ).
fof(f14134,plain,
( spl27_1004
| ~ spl27_155
| ~ spl27_530 ),
inference(avatar_split_clause,[],[f5672,f5660,f1177,f14132]) ).
fof(f14132,plain,
( spl27_1004
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,sK14(X4,X2,X5,apply_netmap(X6,sK5,sK13(sK16(X2),sK5,X6,X7))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,sK14(X4,X2,X5,apply_netmap(X6,sK5,sK13(sK16(X2),sK5,X6,X7)))))
| sP2(X4,X2,X5)
| ~ net_str(X2,X0)
| ~ one_sorted_str(X2)
| ~ element(X7,the_carrier(sK5))
| empty_carrier(X2)
| apply_netmap(sK4,sK5,sK12(sK16(X2),sK5,X6)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK16(X2),sK5,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1004])]) ).
fof(f5672,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,sK14(X4,X2,X5,apply_netmap(X6,sK5,sK13(sK16(X2),sK5,X6,X7))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,sK14(X4,X2,X5,apply_netmap(X6,sK5,sK13(sK16(X2),sK5,X6,X7)))))
| sP2(X4,X2,X5)
| ~ net_str(X2,X0)
| ~ one_sorted_str(X2)
| ~ element(X7,the_carrier(sK5))
| empty_carrier(X2)
| apply_netmap(sK4,sK5,sK12(sK16(X2),sK5,X6)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK16(X2),sK5,X6)) )
| ~ spl27_155
| ~ spl27_530 ),
inference(resolution,[],[f5661,f1178]) ).
fof(f14068,plain,
( spl27_3
| spl27_1003
| ~ spl27_279
| ~ spl27_498 ),
inference(avatar_split_clause,[],[f5120,f5096,f2232,f14066,f244]) ).
fof(f14066,plain,
( spl27_1003
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ one_sorted_str(X0)
| apply_netmap(sK4,sK5,sK14(X8,sK5,X9,sK12(X5,sK5,X6))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X8,sK5,X9,sK12(X5,sK5,X6)))
| sP2(X8,sK5,X9)
| ~ element(X7,the_carrier(sK5))
| ~ net_str(sK5,X0)
| sP2(X3,sK5,X4)
| apply_netmap(X0,sK5,sK14(X1,sK5,X2,sK14(X3,sK5,X4,sK13(X5,sK5,X6,X7)))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK14(X1,sK5,X2,sK14(X3,sK5,X4,sK13(X5,sK5,X6,X7))))
| sP2(X1,sK5,X2)
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1003])]) ).
fof(f5096,plain,
( spl27_498
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,sK13(X6,X0,X7,X8)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,sK13(X6,X0,X7,X8))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| ~ element(X8,the_carrier(X0))
| ~ sP0(X6,X0,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_498])]) ).
fof(f5120,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,sK5,X2)
| apply_netmap(X0,sK5,sK14(X1,sK5,X2,sK14(X3,sK5,X4,sK13(X5,sK5,X6,X7)))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK14(X1,sK5,X2,sK14(X3,sK5,X4,sK13(X5,sK5,X6,X7))))
| sP2(X3,sK5,X4)
| ~ net_str(sK5,X0)
| ~ element(X7,the_carrier(sK5))
| empty_carrier(sK5)
| sP2(X8,sK5,X9)
| apply_netmap(sK4,sK5,sK14(X8,sK5,X9,sK12(X5,sK5,X6))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X8,sK5,X9,sK12(X5,sK5,X6))) )
| ~ spl27_279
| ~ spl27_498 ),
inference(resolution,[],[f5097,f2233]) ).
fof(f5097,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ sP0(X6,X0,X7)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,sK13(X6,X0,X7,X8)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,sK13(X6,X0,X7,X8))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| ~ element(X8,the_carrier(X0))
| empty_carrier(X0) )
| ~ spl27_498 ),
inference(avatar_component_clause,[],[f5096]) ).
fof(f14061,plain,
( spl27_1002
| ~ spl27_279
| ~ spl27_490 ),
inference(avatar_split_clause,[],[f5067,f5048,f2232,f14059]) ).
fof(f14059,plain,
( spl27_1002
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( empty_carrier(X0)
| ~ element(X1,the_carrier(sK5))
| ~ one_sorted_str(X0)
| ~ net_str(X0,X2)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| sP2(X3,X0,X4)
| apply_netmap(X2,X0,sK14(X3,X0,X4,apply_netmap(X5,sK5,sK13(sK16(X0),sK5,X5,X1)))) = apply_on_structs(X0,X2,the_mapping(X2,X0),sK14(X3,X0,X4,apply_netmap(X5,sK5,sK13(sK16(X0),sK5,X5,X1))))
| sP2(X6,sK5,X7)
| apply_netmap(sK4,sK5,sK14(X6,sK5,X7,sK12(sK16(X0),sK5,X5))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X6,sK5,X7,sK12(sK16(X0),sK5,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1002])]) ).
fof(f5048,plain,
( spl27_490
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK16(X0),X2,X3)
| ~ net_str(X0,X4)
| ~ one_sorted_str(X4)
| empty_carrier(X4)
| sP2(X5,X0,X6)
| apply_netmap(X4,X0,sK14(X5,X0,X6,apply_netmap(X3,X2,sK13(sK16(X0),X2,X3,X1)))) = apply_on_structs(X0,X4,the_mapping(X4,X0),sK14(X5,X0,X6,apply_netmap(X3,X2,sK13(sK16(X0),X2,X3,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_490])]) ).
fof(f5067,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ element(X1,the_carrier(sK5))
| ~ one_sorted_str(X0)
| ~ net_str(X0,X2)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| sP2(X3,X0,X4)
| apply_netmap(X2,X0,sK14(X3,X0,X4,apply_netmap(X5,sK5,sK13(sK16(X0),sK5,X5,X1)))) = apply_on_structs(X0,X2,the_mapping(X2,X0),sK14(X3,X0,X4,apply_netmap(X5,sK5,sK13(sK16(X0),sK5,X5,X1))))
| sP2(X6,sK5,X7)
| apply_netmap(sK4,sK5,sK14(X6,sK5,X7,sK12(sK16(X0),sK5,X5))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X6,sK5,X7,sK12(sK16(X0),sK5,X5))) )
| ~ spl27_279
| ~ spl27_490 ),
inference(resolution,[],[f5049,f2233]) ).
fof(f5049,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP0(sK16(X0),X2,X3)
| empty_carrier(X0)
| ~ element(X1,the_carrier(X2))
| ~ one_sorted_str(X0)
| ~ net_str(X0,X4)
| ~ one_sorted_str(X4)
| empty_carrier(X4)
| sP2(X5,X0,X6)
| apply_netmap(X4,X0,sK14(X5,X0,X6,apply_netmap(X3,X2,sK13(sK16(X0),X2,X3,X1)))) = apply_on_structs(X0,X4,the_mapping(X4,X0),sK14(X5,X0,X6,apply_netmap(X3,X2,sK13(sK16(X0),X2,X3,X1)))) )
| ~ spl27_490 ),
inference(avatar_component_clause,[],[f5048]) ).
fof(f14048,plain,
( spl27_3
| ~ spl27_59
| spl27_1001
| ~ spl27_195
| ~ spl27_330 ),
inference(avatar_split_clause,[],[f2852,f2848,f1481,f14046,f524,f244]) ).
fof(f14046,plain,
( spl27_1001
<=> ! [X2,X6,X4,X3,X0,X5,X1] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ sP0(sK16(sK5),X5,X4)
| ~ element(X6,the_carrier(X5))
| empty_carrier(X3)
| ~ one_sorted_str(X3)
| apply_netmap(X3,X2,apply_netmap(X2,sK5,sK13(X0,sK5,X1,apply_netmap(X4,X5,sK13(sK16(sK5),X5,X4,X6))))) = apply_on_structs(X2,X3,the_mapping(X3,X2),apply_netmap(X2,sK5,sK13(X0,sK5,X1,apply_netmap(X4,X5,sK13(sK16(sK5),X5,X4,X6)))))
| ~ net_str(X2,X3)
| ~ net_str(sK5,X2)
| ~ one_sorted_str(X2)
| empty_carrier(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1001])]) ).
fof(f2852,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ net_str(X2,X3)
| empty_carrier(X2)
| ~ one_sorted_str(X2)
| ~ net_str(sK5,X2)
| apply_netmap(X3,X2,apply_netmap(X2,sK5,sK13(X0,sK5,X1,apply_netmap(X4,X5,sK13(sK16(sK5),X5,X4,X6))))) = apply_on_structs(X2,X3,the_mapping(X3,X2),apply_netmap(X2,sK5,sK13(X0,sK5,X1,apply_netmap(X4,X5,sK13(sK16(sK5),X5,X4,X6)))))
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| ~ one_sorted_str(sK5)
| empty_carrier(sK5)
| ~ element(X6,the_carrier(X5))
| ~ sP0(sK16(sK5),X5,X4) )
| ~ spl27_195
| ~ spl27_330 ),
inference(resolution,[],[f2849,f1482]) ).
fof(f13780,plain,
( spl27_1000
| ~ spl27_155
| ~ spl27_526 ),
inference(avatar_split_clause,[],[f5645,f5633,f1177,f13778]) ).
fof(f13778,plain,
( spl27_1000
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,sK14(X3,X2,X4,apply_netmap(X5,sK5,sK13(the_carrier(X2),sK5,X5,X6))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,sK14(X3,X2,X4,apply_netmap(X5,sK5,sK13(the_carrier(X2),sK5,X5,X6)))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| sP2(X3,X2,X4)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ element(X6,the_carrier(sK5))
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X5)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1000])]) ).
fof(f5645,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,sK14(X3,X2,X4,apply_netmap(X5,sK5,sK13(the_carrier(X2),sK5,X5,X6))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,sK14(X3,X2,X4,apply_netmap(X5,sK5,sK13(the_carrier(X2),sK5,X5,X6)))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| sP2(X3,X2,X4)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ element(X6,the_carrier(sK5))
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X5)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X5)) )
| ~ spl27_155
| ~ spl27_526 ),
inference(resolution,[],[f5634,f1178]) ).
fof(f13776,plain,
( spl27_3
| ~ spl27_59
| spl27_999
| ~ spl27_204
| spl27_697 ),
inference(avatar_split_clause,[],[f7153,f7145,f1552,f13773,f524,f244]) ).
fof(f13773,plain,
( spl27_999
<=> apply_netmap(sK5,sK11(sK5),sK17(the_carrier(sK11(sK5)))) = apply_on_structs(sK11(sK5),sK5,the_mapping(sK5,sK11(sK5)),sK17(the_carrier(sK11(sK5)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_999])]) ).
fof(f1552,plain,
( spl27_204
<=> ! [X0] :
( apply_netmap(X0,sK11(X0),sK17(the_carrier(sK11(X0)))) = apply_on_structs(sK11(X0),X0,the_mapping(X0,sK11(X0)),sK17(the_carrier(sK11(X0))))
| empty_carrier(sK11(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_204])]) ).
fof(f7145,plain,
( spl27_697
<=> empty_carrier(sK11(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_697])]) ).
fof(f7153,plain,
( apply_netmap(sK5,sK11(sK5),sK17(the_carrier(sK11(sK5)))) = apply_on_structs(sK11(sK5),sK5,the_mapping(sK5,sK11(sK5)),sK17(the_carrier(sK11(sK5))))
| ~ one_sorted_str(sK5)
| empty_carrier(sK5)
| ~ spl27_204
| spl27_697 ),
inference(resolution,[],[f7146,f1553]) ).
fof(f1553,plain,
( ! [X0] :
( empty_carrier(sK11(X0))
| apply_netmap(X0,sK11(X0),sK17(the_carrier(sK11(X0)))) = apply_on_structs(sK11(X0),X0,the_mapping(X0,sK11(X0)),sK17(the_carrier(sK11(X0))))
| ~ one_sorted_str(X0)
| empty_carrier(X0) )
| ~ spl27_204 ),
inference(avatar_component_clause,[],[f1552]) ).
fof(f7146,plain,
( ~ empty_carrier(sK11(sK5))
| spl27_697 ),
inference(avatar_component_clause,[],[f7145]) ).
fof(f13771,plain,
( spl27_998
| ~ spl27_155
| ~ spl27_525 ),
inference(avatar_split_clause,[],[f5641,f5629,f1177,f13769]) ).
fof(f13769,plain,
( spl27_998
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X2,X4,apply_netmap(X5,sK5,sK13(the_carrier(X4),sK5,X5,X6))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X2,X4,apply_netmap(X5,sK5,sK13(the_carrier(X4),sK5,X5,X6)))))
| ~ net_str(X2,X0)
| ~ net_str(X4,X2)
| empty_carrier(X4)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| ~ element(X6,the_carrier(sK5))
| apply_netmap(sK4,sK5,sK12(the_carrier(X4),sK5,X5)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X4),sK5,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_998])]) ).
fof(f5641,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X2,X4,apply_netmap(X5,sK5,sK13(the_carrier(X4),sK5,X5,X6))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X2,X4,apply_netmap(X5,sK5,sK13(the_carrier(X4),sK5,X5,X6)))))
| ~ net_str(X2,X0)
| ~ net_str(X4,X2)
| empty_carrier(X4)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| ~ element(X6,the_carrier(sK5))
| apply_netmap(sK4,sK5,sK12(the_carrier(X4),sK5,X5)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X4),sK5,X5)) )
| ~ spl27_155
| ~ spl27_525 ),
inference(resolution,[],[f5630,f1178]) ).
fof(f13767,plain,
( spl27_997
| ~ spl27_308
| ~ spl27_373 ),
inference(avatar_split_clause,[],[f3516,f3501,f2565,f13765]) ).
fof(f13765,plain,
( spl27_997
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(powerset(the_carrier(sK5)),X1,X2)
| empty(apply_netmap(X2,X1,sK13(powerset(the_carrier(sK5)),X1,X2,X0)))
| apply_netmap(X3,sK5,sK13(X4,sK5,X5,sK17(apply_netmap(X2,X1,sK13(powerset(the_carrier(sK5)),X1,X2,X0))))) = apply_on_structs(sK5,X3,the_mapping(X3,sK5),sK13(X4,sK5,X5,sK17(apply_netmap(X2,X1,sK13(powerset(the_carrier(sK5)),X1,X2,X0)))))
| apply_netmap(sK4,sK5,sK12(X4,sK5,X5)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X4,sK5,X5))
| ~ net_str(sK5,X3)
| empty_carrier(X3)
| ~ one_sorted_str(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_997])]) ).
fof(f3516,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(powerset(the_carrier(sK5)),X1,X2)
| empty(apply_netmap(X2,X1,sK13(powerset(the_carrier(sK5)),X1,X2,X0)))
| apply_netmap(X3,sK5,sK13(X4,sK5,X5,sK17(apply_netmap(X2,X1,sK13(powerset(the_carrier(sK5)),X1,X2,X0))))) = apply_on_structs(sK5,X3,the_mapping(X3,sK5),sK13(X4,sK5,X5,sK17(apply_netmap(X2,X1,sK13(powerset(the_carrier(sK5)),X1,X2,X0)))))
| apply_netmap(sK4,sK5,sK12(X4,sK5,X5)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X4,sK5,X5))
| ~ net_str(sK5,X3)
| empty_carrier(X3)
| ~ one_sorted_str(X3) )
| ~ spl27_308
| ~ spl27_373 ),
inference(resolution,[],[f3502,f2566]) ).
fof(f13763,plain,
( spl27_996
| ~ spl27_75
| ~ spl27_339 ),
inference(avatar_split_clause,[],[f3013,f2988,f615,f13761]) ).
fof(f13761,plain,
( spl27_996
<=> ! [X5,X4,X2,X0,X6,X3,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,sK14(X4,sK5,X5,X6))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,sK14(X4,sK5,X5,X6)))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X3)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X3))
| sP2(X4,sK5,X5)
| ~ element(X6,the_carrier(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_996])]) ).
fof(f3013,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,sK14(X4,sK5,X5,X6))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,sK14(X4,sK5,X5,X6)))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X3)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X3))
| sP2(X4,sK5,X5)
| ~ element(X6,the_carrier(sK5)) )
| ~ spl27_75
| ~ spl27_339 ),
inference(resolution,[],[f2989,f616]) ).
fof(f13759,plain,
( spl27_995
| ~ spl27_73
| ~ spl27_339 ),
inference(avatar_split_clause,[],[f3012,f2988,f607,f13757]) ).
fof(f13757,plain,
( spl27_995
<=> ! [X5,X4,X2,X0,X6,X3,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,sK13(X4,sK5,X5,X6))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,sK13(X4,sK5,X5,X6)))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X3)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X3))
| ~ element(X6,the_carrier(sK5))
| ~ sP0(X4,sK5,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_995])]) ).
fof(f3012,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,sK13(X4,sK5,X5,X6))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,sK13(X4,sK5,X5,X6)))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X3)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X3))
| ~ element(X6,the_carrier(sK5))
| ~ sP0(X4,sK5,X5) )
| ~ spl27_73
| ~ spl27_339 ),
inference(resolution,[],[f2989,f608]) ).
fof(f13746,plain,
( spl27_3
| ~ spl27_59
| spl27_994
| ~ spl27_195
| ~ spl27_328 ),
inference(avatar_split_clause,[],[f2812,f2802,f1481,f13744,f524,f244]) ).
fof(f13744,plain,
( spl27_994
<=> ! [X2,X6,X4,X3,X0,X5,X1,X7] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ sP0(sK16(sK5),X6,X5)
| ~ element(X7,the_carrier(X6))
| empty_carrier(X2)
| sP2(X3,sK5,X4)
| apply_netmap(X2,sK5,sK14(X3,sK5,X4,sK13(X0,sK5,X1,apply_netmap(X5,X6,sK13(sK16(sK5),X6,X5,X7))))) = apply_on_structs(sK5,X2,the_mapping(X2,sK5),sK14(X3,sK5,X4,sK13(X0,sK5,X1,apply_netmap(X5,X6,sK13(sK16(sK5),X6,X5,X7)))))
| ~ net_str(sK5,X2)
| ~ one_sorted_str(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_994])]) ).
fof(f2812,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ net_str(sK5,X2)
| ~ one_sorted_str(X2)
| apply_netmap(X2,sK5,sK14(X3,sK5,X4,sK13(X0,sK5,X1,apply_netmap(X5,X6,sK13(sK16(sK5),X6,X5,X7))))) = apply_on_structs(sK5,X2,the_mapping(X2,sK5),sK14(X3,sK5,X4,sK13(X0,sK5,X1,apply_netmap(X5,X6,sK13(sK16(sK5),X6,X5,X7)))))
| sP2(X3,sK5,X4)
| empty_carrier(X2)
| ~ one_sorted_str(sK5)
| empty_carrier(sK5)
| ~ element(X7,the_carrier(X6))
| ~ sP0(sK16(sK5),X6,X5) )
| ~ spl27_195
| ~ spl27_328 ),
inference(resolution,[],[f2803,f1482]) ).
fof(f13733,plain,
( spl27_3
| ~ spl27_59
| spl27_993
| ~ spl27_195
| ~ spl27_327 ),
inference(avatar_split_clause,[],[f2766,f2762,f1481,f13731,f524,f244]) ).
fof(f13731,plain,
( spl27_993
<=> ! [X3,X4,X0,X5,X2,X1] :
( apply_netmap(X0,X1,apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,apply_netmap(X3,X4,sK13(sK16(sK5),X4,X3,X5))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,apply_netmap(X3,X4,sK13(sK16(sK5),X4,X3,X5)))))
| ~ sP0(sK16(sK5),X4,X3)
| ~ element(X5,the_carrier(X4))
| apply_netmap(sK4,sK5,sK12(the_carrier(X1),sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X1),sK5,X2))
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty_carrier(X1)
| ~ net_str(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_993])]) ).
fof(f2766,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( apply_netmap(X0,X1,apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,apply_netmap(X3,X4,sK13(sK16(sK5),X4,X3,X5))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,apply_netmap(X3,X4,sK13(sK16(sK5),X4,X3,X5)))))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(sK4,sK5,sK12(the_carrier(X1),sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X1),sK5,X2))
| ~ one_sorted_str(sK5)
| empty_carrier(sK5)
| ~ element(X5,the_carrier(X4))
| ~ sP0(sK16(sK5),X4,X3) )
| ~ spl27_195
| ~ spl27_327 ),
inference(resolution,[],[f2763,f1482]) ).
fof(f13729,plain,
( spl27_992
| ~ spl27_254
| ~ spl27_279 ),
inference(avatar_split_clause,[],[f2245,f2232,f2061,f13727]) ).
fof(f13727,plain,
( spl27_992
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( sP2(X2,sK5,X3)
| apply_netmap(sK4,sK5,sK14(X2,sK5,X3,sK12(the_carrier(X0),sK5,X1))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X2,sK5,X3,sK12(the_carrier(X0),sK5,X1)))
| empty_carrier(X4)
| ~ one_sorted_str(X5)
| empty_carrier(X5)
| apply_netmap(X5,X4,apply_netmap(X4,X0,apply_netmap(X1,sK5,sK13(the_carrier(X0),sK5,X1,X6)))) = apply_on_structs(X4,X5,the_mapping(X5,X4),apply_netmap(X4,X0,apply_netmap(X1,sK5,sK13(the_carrier(X0),sK5,X1,X6))))
| ~ net_str(X0,X4)
| empty_carrier(X0)
| ~ one_sorted_str(X4)
| ~ net_str(X4,X5)
| ~ element(X6,the_carrier(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_992])]) ).
fof(f2061,plain,
( spl27_254
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X3,X4,sK13(the_carrier(X2),X4,X3,X5)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X3,X4,sK13(the_carrier(X2),X4,X3,X5))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ sP0(the_carrier(X2),X4,X3)
| ~ element(X5,the_carrier(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_254])]) ).
fof(f2245,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( sP2(X2,sK5,X3)
| apply_netmap(sK4,sK5,sK14(X2,sK5,X3,sK12(the_carrier(X0),sK5,X1))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X2,sK5,X3,sK12(the_carrier(X0),sK5,X1)))
| empty_carrier(X4)
| ~ one_sorted_str(X5)
| empty_carrier(X5)
| apply_netmap(X5,X4,apply_netmap(X4,X0,apply_netmap(X1,sK5,sK13(the_carrier(X0),sK5,X1,X6)))) = apply_on_structs(X4,X5,the_mapping(X5,X4),apply_netmap(X4,X0,apply_netmap(X1,sK5,sK13(the_carrier(X0),sK5,X1,X6))))
| ~ net_str(X0,X4)
| empty_carrier(X0)
| ~ one_sorted_str(X4)
| ~ net_str(X4,X5)
| ~ element(X6,the_carrier(sK5)) )
| ~ spl27_254
| ~ spl27_279 ),
inference(resolution,[],[f2233,f2062]) ).
fof(f2062,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sP0(the_carrier(X2),X4,X3)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X3,X4,sK13(the_carrier(X2),X4,X3,X5)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X3,X4,sK13(the_carrier(X2),X4,X3,X5))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ element(X5,the_carrier(X4)) )
| ~ spl27_254 ),
inference(avatar_component_clause,[],[f2061]) ).
fof(f13504,plain,
( spl27_991
| ~ spl27_155
| ~ spl27_523 ),
inference(avatar_split_clause,[],[f5622,f5614,f1177,f13502]) ).
fof(f13502,plain,
( spl27_991
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,sK14(X4,X2,X5,apply_netmap(X6,sK5,sK13(the_carrier(X2),sK5,X6,X7))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,sK14(X4,X2,X5,apply_netmap(X6,sK5,sK13(the_carrier(X2),sK5,X6,X7)))))
| sP2(X4,X2,X5)
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ element(X7,the_carrier(sK5))
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X6)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_991])]) ).
fof(f5622,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,sK14(X4,X2,X5,apply_netmap(X6,sK5,sK13(the_carrier(X2),sK5,X6,X7))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,sK14(X4,X2,X5,apply_netmap(X6,sK5,sK13(the_carrier(X2),sK5,X6,X7)))))
| sP2(X4,X2,X5)
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ element(X7,the_carrier(sK5))
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X6)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X6)) )
| ~ spl27_155
| ~ spl27_523 ),
inference(resolution,[],[f5615,f1178]) ).
fof(f13500,plain,
( spl27_990
| ~ spl27_75
| ~ spl27_338 ),
inference(avatar_split_clause,[],[f2973,f2948,f615,f13498]) ).
fof(f13498,plain,
( spl27_990
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,sK14(X5,sK5,X6,X7))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,sK14(X5,sK5,X6,X7)))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X4))
| sP2(X5,sK5,X6)
| ~ element(X7,the_carrier(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_990])]) ).
fof(f2973,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,sK14(X5,sK5,X6,X7))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,sK14(X5,sK5,X6,X7)))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X4))
| sP2(X5,sK5,X6)
| ~ element(X7,the_carrier(sK5)) )
| ~ spl27_75
| ~ spl27_338 ),
inference(resolution,[],[f2949,f616]) ).
fof(f13496,plain,
( spl27_989
| ~ spl27_73
| ~ spl27_338 ),
inference(avatar_split_clause,[],[f2972,f2948,f607,f13494]) ).
fof(f13494,plain,
( spl27_989
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,sK13(X5,sK5,X6,X7))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,sK13(X5,sK5,X6,X7)))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X4))
| ~ element(X7,the_carrier(sK5))
| ~ sP0(X5,sK5,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_989])]) ).
fof(f2972,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,sK13(X5,sK5,X6,X7))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,sK13(X5,sK5,X6,X7)))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X4))
| ~ element(X7,the_carrier(sK5))
| ~ sP0(X5,sK5,X6) )
| ~ spl27_73
| ~ spl27_338 ),
inference(resolution,[],[f2949,f608]) ).
fof(f13492,plain,
( spl27_988
| ~ spl27_252
| ~ spl27_279 ),
inference(avatar_split_clause,[],[f2246,f2232,f2049,f13490]) ).
fof(f13490,plain,
( spl27_988
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( sP2(X2,sK5,X3)
| apply_netmap(sK4,sK5,sK14(X2,sK5,X3,sK12(the_carrier(X0),sK5,X1))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X2,sK5,X3,sK12(the_carrier(X0),sK5,X1)))
| empty_carrier(X0)
| ~ one_sorted_str(X4)
| empty_carrier(X4)
| sP2(X5,X0,X6)
| apply_netmap(X4,X0,sK14(X5,X0,X6,apply_netmap(X1,sK5,sK13(the_carrier(X0),sK5,X1,X7)))) = apply_on_structs(X0,X4,the_mapping(X4,X0),sK14(X5,X0,X6,apply_netmap(X1,sK5,sK13(the_carrier(X0),sK5,X1,X7))))
| ~ net_str(X0,X4)
| ~ element(X7,the_carrier(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_988])]) ).
fof(f2049,plain,
( spl27_252
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X4,X5,sK13(the_carrier(X0),X5,X4,X6)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X4,X5,sK13(the_carrier(X0),X5,X4,X6))))
| ~ sP0(the_carrier(X0),X5,X4)
| ~ element(X6,the_carrier(X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_252])]) ).
fof(f2246,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( sP2(X2,sK5,X3)
| apply_netmap(sK4,sK5,sK14(X2,sK5,X3,sK12(the_carrier(X0),sK5,X1))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X2,sK5,X3,sK12(the_carrier(X0),sK5,X1)))
| empty_carrier(X0)
| ~ one_sorted_str(X4)
| empty_carrier(X4)
| sP2(X5,X0,X6)
| apply_netmap(X4,X0,sK14(X5,X0,X6,apply_netmap(X1,sK5,sK13(the_carrier(X0),sK5,X1,X7)))) = apply_on_structs(X0,X4,the_mapping(X4,X0),sK14(X5,X0,X6,apply_netmap(X1,sK5,sK13(the_carrier(X0),sK5,X1,X7))))
| ~ net_str(X0,X4)
| ~ element(X7,the_carrier(sK5)) )
| ~ spl27_252
| ~ spl27_279 ),
inference(resolution,[],[f2233,f2050]) ).
fof(f2050,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP0(the_carrier(X0),X5,X4)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X4,X5,sK13(the_carrier(X0),X5,X4,X6)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X4,X5,sK13(the_carrier(X0),X5,X4,X6))))
| ~ net_str(X0,X1)
| ~ element(X6,the_carrier(X5)) )
| ~ spl27_252 ),
inference(avatar_component_clause,[],[f2049]) ).
fof(f13406,plain,
( spl27_987
| ~ spl27_63
| ~ spl27_371 ),
inference(avatar_split_clause,[],[f3491,f3485,f556,f13404]) ).
fof(f13404,plain,
( spl27_987
<=> ! [X0,X3,X2,X1] :
( sP2(X0,X1,X2)
| sP0(the_carrier(X3),X1,X3)
| ~ net_str(X1,X3)
| empty_carrier(X1)
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| empty(the_carrier(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_987])]) ).
fof(f3485,plain,
( spl27_371
<=> ! [X0,X3,X2,X1] :
( sP0(the_carrier(X0),X1,X0)
| sP2(X2,X1,X3)
| ~ element(sK12(the_carrier(X0),X1,X0),the_carrier(X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(the_carrier(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_371])]) ).
fof(f3491,plain,
( ! [X2,X3,X0,X1] :
( sP2(X0,X1,X2)
| sP0(the_carrier(X3),X1,X3)
| ~ net_str(X1,X3)
| empty_carrier(X1)
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| empty(the_carrier(X3)) )
| ~ spl27_63
| ~ spl27_371 ),
inference(duplicate_literal_removal,[],[f3490]) ).
fof(f3490,plain,
( ! [X2,X3,X0,X1] :
( sP2(X0,X1,X2)
| sP0(the_carrier(X3),X1,X3)
| ~ net_str(X1,X3)
| empty_carrier(X1)
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| empty(the_carrier(X3))
| sP0(the_carrier(X3),X1,X3) )
| ~ spl27_63
| ~ spl27_371 ),
inference(resolution,[],[f3486,f557]) ).
fof(f3486,plain,
( ! [X2,X3,X0,X1] :
( ~ element(sK12(the_carrier(X0),X1,X0),the_carrier(X1))
| sP2(X2,X1,X3)
| sP0(the_carrier(X0),X1,X0)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(the_carrier(X0)) )
| ~ spl27_371 ),
inference(avatar_component_clause,[],[f3485]) ).
fof(f13402,plain,
( spl27_986
| ~ spl27_63
| ~ spl27_370 ),
inference(avatar_split_clause,[],[f3489,f3481,f556,f13400]) ).
fof(f13400,plain,
( spl27_986
<=> ! [X0,X3,X2,X1] :
( sP0(the_carrier(X0),X1,X0)
| ~ sP0(X2,X1,X3)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(the_carrier(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_986])]) ).
fof(f3481,plain,
( spl27_370
<=> ! [X0,X3,X2,X1] :
( sP0(the_carrier(X0),X1,X0)
| ~ element(sK12(the_carrier(X0),X1,X0),the_carrier(X1))
| ~ sP0(X2,X1,X3)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(the_carrier(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_370])]) ).
fof(f3489,plain,
( ! [X2,X3,X0,X1] :
( sP0(the_carrier(X0),X1,X0)
| ~ sP0(X2,X1,X3)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(the_carrier(X0)) )
| ~ spl27_63
| ~ spl27_370 ),
inference(duplicate_literal_removal,[],[f3488]) ).
fof(f3488,plain,
( ! [X2,X3,X0,X1] :
( sP0(the_carrier(X0),X1,X0)
| ~ sP0(X2,X1,X3)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(the_carrier(X0))
| sP0(the_carrier(X0),X1,X0) )
| ~ spl27_63
| ~ spl27_370 ),
inference(resolution,[],[f3482,f557]) ).
fof(f3482,plain,
( ! [X2,X3,X0,X1] :
( ~ element(sK12(the_carrier(X0),X1,X0),the_carrier(X1))
| sP0(the_carrier(X0),X1,X0)
| ~ sP0(X2,X1,X3)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(the_carrier(X0)) )
| ~ spl27_370 ),
inference(avatar_component_clause,[],[f3481]) ).
fof(f13398,plain,
( spl27_985
| ~ spl27_22
| ~ spl27_341 ),
inference(avatar_split_clause,[],[f3057,f3037,f334,f13396]) ).
fof(f13396,plain,
( spl27_985
<=> ! [X0,X3,X2,X1] :
( ~ empty(X0)
| ~ sP0(powerset(X0),X1,X2)
| ~ element(X3,the_carrier(X1))
| finite(apply_netmap(X2,X1,sK13(powerset(X0),X1,X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_985])]) ).
fof(f3057,plain,
( ! [X2,X3,X0,X1] :
( ~ empty(X0)
| ~ sP0(powerset(X0),X1,X2)
| ~ element(X3,the_carrier(X1))
| finite(apply_netmap(X2,X1,sK13(powerset(X0),X1,X2,X3))) )
| ~ spl27_22
| ~ spl27_341 ),
inference(resolution,[],[f3038,f335]) ).
fof(f13384,plain,
( spl27_3
| spl27_984
| ~ spl27_279
| ~ spl27_475 ),
inference(avatar_split_clause,[],[f4949,f4937,f2232,f13382,f244]) ).
fof(f13382,plain,
( spl27_984
<=> ! [X5,X4,X2,X0,X6,X3,X1] :
( ~ one_sorted_str(X0)
| apply_netmap(sK4,sK5,sK14(X3,sK5,X4,sK12(X5,sK5,X6))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X3,sK5,X4,sK12(X5,sK5,X6)))
| sP0(X5,sK5,X6)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| ~ net_str(sK5,X2)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X1)
| empty_carrier(X2)
| ~ net_str(X2,X1)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X2,sK5,sK15(X3,sK5,X4)))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X2,sK5,sK15(X3,sK5,X4))))
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_984])]) ).
fof(f4937,plain,
( spl27_475
<=> ! [X2,X3,X4,X0,X5,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,sK15(X4,X3,X5)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,sK15(X4,X3,X5))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| ~ sP2(X4,X3,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_475])]) ).
fof(f4949,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X2,sK5,sK15(X3,sK5,X4)))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X2,sK5,sK15(X3,sK5,X4))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| ~ net_str(X1,X0)
| ~ net_str(sK5,X2)
| empty_carrier(sK5)
| ~ one_sorted_str(X2)
| empty_carrier(X1)
| sP0(X5,sK5,X6)
| apply_netmap(sK4,sK5,sK14(X3,sK5,X4,sK12(X5,sK5,X6))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X3,sK5,X4,sK12(X5,sK5,X6))) )
| ~ spl27_279
| ~ spl27_475 ),
inference(resolution,[],[f4938,f2233]) ).
fof(f4938,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sP2(X4,X3,X5)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,sK15(X4,X3,X5)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,sK15(X4,X3,X5))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| empty_carrier(X0) )
| ~ spl27_475 ),
inference(avatar_component_clause,[],[f4937]) ).
fof(f13377,plain,
( spl27_292
| spl27_983
| ~ spl27_163
| ~ spl27_339 ),
inference(avatar_split_clause,[],[f3020,f2988,f1242,f13375,f2354]) ).
fof(f13375,plain,
( spl27_983
<=> ! [X0,X3,X2,X1] :
( ~ one_sorted_str(X0)
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X3)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X3))
| empty_carrier(X1)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X1)
| empty_carrier(X2)
| ~ net_str(X2,X1)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,sK17(sK17(powerset(the_carrier(sK5)))))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,sK17(sK17(powerset(the_carrier(sK5))))))))
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_983])]) ).
fof(f3020,plain,
( ! [X2,X3,X0,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,sK17(sK17(powerset(the_carrier(sK5)))))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,sK17(sK17(powerset(the_carrier(sK5))))))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X3)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X3))
| empty(sK17(powerset(the_carrier(sK5)))) )
| ~ spl27_163
| ~ spl27_339 ),
inference(resolution,[],[f2989,f1243]) ).
fof(f13370,plain,
( spl27_686
| spl27_290
| spl27_982
| ~ spl27_166
| ~ spl27_339 ),
inference(avatar_split_clause,[],[f3019,f2988,f1254,f13368,f2337,f6939]) ).
fof(f13368,plain,
( spl27_982
<=> ! [X0,X3,X2,X1] :
( ~ one_sorted_str(X0)
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X3)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X3))
| empty_carrier(X1)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X1)
| empty_carrier(X2)
| ~ net_str(X2,X1)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,sK17(sK10(the_carrier(sK5))))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,sK17(sK10(the_carrier(sK5)))))))
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_982])]) ).
fof(f3019,plain,
( ! [X2,X3,X0,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,sK17(sK10(the_carrier(sK5))))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,sK17(sK10(the_carrier(sK5)))))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X3)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X3))
| empty(the_carrier(sK5))
| empty(sK10(the_carrier(sK5))) )
| ~ spl27_166
| ~ spl27_339 ),
inference(resolution,[],[f2989,f1255]) ).
fof(f13366,plain,
( spl27_143
| spl27_981
| ~ spl27_156
| ~ spl27_238
| ~ spl27_909 ),
inference(avatar_split_clause,[],[f12825,f10806,f1807,f1185,f13364,f1041]) ).
fof(f13364,plain,
( spl27_981
<=> ! [X0] : apply_netmap(sK4,sK5,sK12(sK24,sK5,X0)) = apply(the_mapping(sK4,sK5),sK12(sK24,sK5,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_981])]) ).
fof(f1807,plain,
( spl27_238
<=> ! [X1] : apply_netmap(sK4,sK5,sK12(sK24,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK24,sK5,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_238])]) ).
fof(f12825,plain,
( ! [X0,X1] :
( apply_netmap(sK4,sK5,sK12(sK24,sK5,X0)) = apply(the_mapping(sK4,sK5),sK12(sK24,sK5,X0))
| ~ element(X1,the_carrier(sK5)) )
| ~ spl27_156
| ~ spl27_238
| ~ spl27_909 ),
inference(forward_demodulation,[],[f12822,f1808]) ).
fof(f1808,plain,
( ! [X1] : apply_netmap(sK4,sK5,sK12(sK24,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK24,sK5,X1))
| ~ spl27_238 ),
inference(avatar_component_clause,[],[f1807]) ).
fof(f12822,plain,
( ! [X0,X1] :
( apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK24,sK5,X0)) = apply(the_mapping(sK4,sK5),sK12(sK24,sK5,X0))
| ~ element(X1,the_carrier(sK5)) )
| ~ spl27_156
| ~ spl27_909 ),
inference(resolution,[],[f10807,f1186]) ).
fof(f13359,plain,
( spl27_679
| spl27_290
| spl27_980
| ~ spl27_165
| ~ spl27_339 ),
inference(avatar_split_clause,[],[f3018,f2988,f1250,f13357,f2337,f6880]) ).
fof(f13357,plain,
( spl27_980
<=> ! [X0,X3,X2,X1] :
( ~ one_sorted_str(X0)
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X3)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X3))
| empty_carrier(X1)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X1)
| empty_carrier(X2)
| ~ net_str(X2,X1)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,sK17(sK9(the_carrier(sK5))))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,sK17(sK9(the_carrier(sK5)))))))
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_980])]) ).
fof(f3018,plain,
( ! [X2,X3,X0,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,sK17(sK9(the_carrier(sK5))))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,sK17(sK9(the_carrier(sK5)))))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X3)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X3))
| empty(the_carrier(sK5))
| empty(sK9(the_carrier(sK5))) )
| ~ spl27_165
| ~ spl27_339 ),
inference(resolution,[],[f2989,f1251]) ).
fof(f13352,plain,
( spl27_289
| spl27_290
| spl27_979
| ~ spl27_164
| ~ spl27_339 ),
inference(avatar_split_clause,[],[f3017,f2988,f1246,f13350,f2337,f2333]) ).
fof(f13350,plain,
( spl27_979
<=> ! [X0,X3,X2,X1] :
( ~ one_sorted_str(X0)
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X3)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X3))
| empty_carrier(X1)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X1)
| empty_carrier(X2)
| ~ net_str(X2,X1)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,sK17(sK8(the_carrier(sK5))))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,sK17(sK8(the_carrier(sK5)))))))
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_979])]) ).
fof(f3017,plain,
( ! [X2,X3,X0,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,sK17(sK8(the_carrier(sK5))))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,sK17(sK8(the_carrier(sK5)))))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X3)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X3))
| empty(the_carrier(sK5))
| empty(sK8(the_carrier(sK5))) )
| ~ spl27_164
| ~ spl27_339 ),
inference(resolution,[],[f2989,f1247]) ).
fof(f13348,plain,
( spl27_978
| ~ spl27_130
| ~ spl27_330 ),
inference(avatar_split_clause,[],[f2855,f2848,f968,f13346]) ).
fof(f13346,plain,
( spl27_978
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ net_str(X2,X3)
| empty_carrier(X2)
| ~ one_sorted_str(X2)
| ~ net_str(sK5,X2)
| apply_netmap(X3,X2,apply_netmap(X2,sK5,sK13(X0,sK5,X1,apply_netmap(X4,X5,sK13(the_carrier(sK5),X5,X4,X6))))) = apply_on_structs(X2,X3,the_mapping(X3,X2),apply_netmap(X2,sK5,sK13(X0,sK5,X1,apply_netmap(X4,X5,sK13(the_carrier(sK5),X5,X4,X6)))))
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| ~ sP0(the_carrier(sK5),X5,X4)
| ~ element(X6,the_carrier(X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_978])]) ).
fof(f2855,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ net_str(X2,X3)
| empty_carrier(X2)
| ~ one_sorted_str(X2)
| ~ net_str(sK5,X2)
| apply_netmap(X3,X2,apply_netmap(X2,sK5,sK13(X0,sK5,X1,apply_netmap(X4,X5,sK13(the_carrier(sK5),X5,X4,X6))))) = apply_on_structs(X2,X3,the_mapping(X3,X2),apply_netmap(X2,sK5,sK13(X0,sK5,X1,apply_netmap(X4,X5,sK13(the_carrier(sK5),X5,X4,X6)))))
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| ~ sP0(the_carrier(sK5),X5,X4)
| ~ element(X6,the_carrier(X5)) )
| ~ spl27_130
| ~ spl27_330 ),
inference(resolution,[],[f2849,f969]) ).
fof(f13264,plain,
( spl27_977
| ~ spl27_155
| ~ spl27_518 ),
inference(avatar_split_clause,[],[f5556,f5540,f1177,f13262]) ).
fof(f13262,plain,
( spl27_977
<=> ! [X4,X0,X3,X2,X1] :
( ~ element(X0,the_carrier(sK5))
| ~ net_str(X1,X2)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| apply_netmap(X2,X1,apply_netmap(X1,X3,apply_netmap(X4,sK5,sK13(sK17(powerset(the_carrier(X3))),sK5,X4,X0)))) = apply_on_structs(X1,X2,the_mapping(X2,X1),apply_netmap(X1,X3,apply_netmap(X4,sK5,sK13(sK17(powerset(the_carrier(X3))),sK5,X4,X0))))
| ~ net_str(X3,X1)
| empty_carrier(X3)
| ~ one_sorted_str(X1)
| apply_netmap(sK4,sK5,sK12(sK17(powerset(the_carrier(X3))),sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK17(powerset(the_carrier(X3))),sK5,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_977])]) ).
fof(f5556,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ element(X0,the_carrier(sK5))
| ~ net_str(X1,X2)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| apply_netmap(X2,X1,apply_netmap(X1,X3,apply_netmap(X4,sK5,sK13(sK17(powerset(the_carrier(X3))),sK5,X4,X0)))) = apply_on_structs(X1,X2,the_mapping(X2,X1),apply_netmap(X1,X3,apply_netmap(X4,sK5,sK13(sK17(powerset(the_carrier(X3))),sK5,X4,X0))))
| ~ net_str(X3,X1)
| empty_carrier(X3)
| ~ one_sorted_str(X1)
| apply_netmap(sK4,sK5,sK12(sK17(powerset(the_carrier(X3))),sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK17(powerset(the_carrier(X3))),sK5,X4)) )
| ~ spl27_155
| ~ spl27_518 ),
inference(resolution,[],[f5541,f1178]) ).
fof(f13259,plain,
( spl27_3
| spl27_976
| ~ spl27_279
| ~ spl27_472 ),
inference(avatar_split_clause,[],[f4923,f4902,f2232,f13257,f244]) ).
fof(f13257,plain,
( spl27_976
<=> ! [X5,X3,X4,X2,X0,X6,X1,X7] :
( ~ one_sorted_str(X0)
| apply_netmap(sK4,sK5,sK14(X4,sK5,X5,sK12(X6,sK5,X7))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X4,sK5,X5,sK12(X6,sK5,X7)))
| sP0(X6,sK5,X7)
| empty_carrier(X1)
| ~ net_str(X1,X0)
| sP2(X2,sK5,X3)
| ~ one_sorted_str(X1)
| ~ net_str(sK5,X1)
| apply_netmap(X0,X1,apply_netmap(X1,sK5,sK14(X2,sK5,X3,sK15(X4,sK5,X5)))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,sK5,sK14(X2,sK5,X3,sK15(X4,sK5,X5))))
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_976])]) ).
fof(f4902,plain,
( spl27_472
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,sK15(X5,X2,X6)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,sK15(X5,X2,X6))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| ~ sP2(X5,X2,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_472])]) ).
fof(f4923,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,sK5,sK14(X2,sK5,X3,sK15(X4,sK5,X5)))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,sK5,sK14(X2,sK5,X3,sK15(X4,sK5,X5))))
| ~ net_str(sK5,X1)
| empty_carrier(sK5)
| ~ one_sorted_str(X1)
| sP2(X2,sK5,X3)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| sP0(X6,sK5,X7)
| apply_netmap(sK4,sK5,sK14(X4,sK5,X5,sK12(X6,sK5,X7))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X4,sK5,X5,sK12(X6,sK5,X7))) )
| ~ spl27_279
| ~ spl27_472 ),
inference(resolution,[],[f4903,f2233]) ).
fof(f4903,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP2(X5,X2,X6)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,sK15(X5,X2,X6)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,sK15(X5,X2,X6))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| empty_carrier(X0) )
| ~ spl27_472 ),
inference(avatar_component_clause,[],[f4902]) ).
fof(f13254,plain,
( spl27_3
| spl27_975
| ~ spl27_279
| ~ spl27_470 ),
inference(avatar_split_clause,[],[f4913,f4893,f2232,f13252,f244]) ).
fof(f13252,plain,
( spl27_975
<=> ! [X5,X3,X4,X1,X0,X6,X2,X7] :
( ~ one_sorted_str(X0)
| apply_netmap(sK4,sK5,sK14(X4,sK5,X5,sK12(X6,sK5,X7))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X4,sK5,X5,sK12(X6,sK5,X7)))
| sP0(X6,sK5,X7)
| empty_carrier(X2)
| ~ one_sorted_str(X2)
| ~ net_str(sK5,X2)
| ~ net_str(X2,X0)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X2,sK5,sK15(X4,sK5,X5)))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X2,sK5,sK15(X4,sK5,X5))))
| sP2(X1,X2,X3)
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_975])]) ).
fof(f4893,plain,
( spl27_470
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,sK15(X5,X4,X6)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,sK15(X5,X4,X6))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| ~ sP2(X5,X4,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_470])]) ).
fof(f4913,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X2,sK5,sK15(X4,sK5,X5)))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X2,sK5,sK15(X4,sK5,X5))))
| ~ net_str(X2,X0)
| ~ net_str(sK5,X2)
| empty_carrier(sK5)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| sP0(X6,sK5,X7)
| apply_netmap(sK4,sK5,sK14(X4,sK5,X5,sK12(X6,sK5,X7))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X4,sK5,X5,sK12(X6,sK5,X7))) )
| ~ spl27_279
| ~ spl27_470 ),
inference(resolution,[],[f4894,f2233]) ).
fof(f4894,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP2(X5,X4,X6)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,sK15(X5,X4,X6)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,sK15(X5,X4,X6))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| empty_carrier(X0) )
| ~ spl27_470 ),
inference(avatar_component_clause,[],[f4893]) ).
fof(f13247,plain,
( spl27_292
| spl27_974
| ~ spl27_163
| ~ spl27_338 ),
inference(avatar_split_clause,[],[f2980,f2948,f1242,f13245,f2354]) ).
fof(f13245,plain,
( spl27_974
<=> ! [X4,X0,X3,X2,X1] :
( ~ one_sorted_str(X0)
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X4))
| empty_carrier(X2)
| ~ net_str(X2,X0)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,sK17(sK17(powerset(the_carrier(sK5)))))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,sK17(sK17(powerset(the_carrier(sK5))))))))
| sP2(X1,X2,X3)
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_974])]) ).
fof(f2980,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,sK17(sK17(powerset(the_carrier(sK5)))))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,sK17(sK17(powerset(the_carrier(sK5))))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X4))
| empty(sK17(powerset(the_carrier(sK5)))) )
| ~ spl27_163
| ~ spl27_338 ),
inference(resolution,[],[f2949,f1243]) ).
fof(f13240,plain,
( spl27_686
| spl27_290
| spl27_973
| ~ spl27_166
| ~ spl27_338 ),
inference(avatar_split_clause,[],[f2979,f2948,f1254,f13238,f2337,f6939]) ).
fof(f13238,plain,
( spl27_973
<=> ! [X4,X0,X3,X2,X1] :
( ~ one_sorted_str(X0)
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X4))
| empty_carrier(X2)
| ~ net_str(X2,X0)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,sK17(sK10(the_carrier(sK5))))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,sK17(sK10(the_carrier(sK5)))))))
| sP2(X1,X2,X3)
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_973])]) ).
fof(f2979,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,sK17(sK10(the_carrier(sK5))))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,sK17(sK10(the_carrier(sK5)))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X4))
| empty(the_carrier(sK5))
| empty(sK10(the_carrier(sK5))) )
| ~ spl27_166
| ~ spl27_338 ),
inference(resolution,[],[f2949,f1255]) ).
fof(f13233,plain,
( spl27_679
| spl27_290
| spl27_972
| ~ spl27_165
| ~ spl27_338 ),
inference(avatar_split_clause,[],[f2978,f2948,f1250,f13231,f2337,f6880]) ).
fof(f13231,plain,
( spl27_972
<=> ! [X4,X0,X3,X2,X1] :
( ~ one_sorted_str(X0)
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X4))
| empty_carrier(X2)
| ~ net_str(X2,X0)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,sK17(sK9(the_carrier(sK5))))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,sK17(sK9(the_carrier(sK5)))))))
| sP2(X1,X2,X3)
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_972])]) ).
fof(f2978,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,sK17(sK9(the_carrier(sK5))))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,sK17(sK9(the_carrier(sK5)))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X4))
| empty(the_carrier(sK5))
| empty(sK9(the_carrier(sK5))) )
| ~ spl27_165
| ~ spl27_338 ),
inference(resolution,[],[f2949,f1251]) ).
fof(f13226,plain,
( spl27_971
| ~ spl27_282
| spl27_283
| ~ spl27_909 ),
inference(avatar_split_clause,[],[f12824,f10806,f2267,f2261,f13223]) ).
fof(f13223,plain,
( spl27_971
<=> apply_netmap(sK4,sK5,sK12(sK7,sK5,sK4)) = apply(the_mapping(sK4,sK5),sK12(sK7,sK5,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_971])]) ).
fof(f2261,plain,
( spl27_282
<=> apply_netmap(sK4,sK5,sK12(sK7,sK5,sK4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK7,sK5,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_282])]) ).
fof(f12824,plain,
( apply_netmap(sK4,sK5,sK12(sK7,sK5,sK4)) = apply(the_mapping(sK4,sK5),sK12(sK7,sK5,sK4))
| ~ spl27_282
| spl27_283
| ~ spl27_909 ),
inference(forward_demodulation,[],[f12774,f2263]) ).
fof(f2263,plain,
( apply_netmap(sK4,sK5,sK12(sK7,sK5,sK4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK7,sK5,sK4))
| ~ spl27_282 ),
inference(avatar_component_clause,[],[f2261]) ).
fof(f12774,plain,
( apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK7,sK5,sK4)) = apply(the_mapping(sK4,sK5),sK12(sK7,sK5,sK4))
| spl27_283
| ~ spl27_909 ),
inference(resolution,[],[f10807,f2268]) ).
fof(f13221,plain,
( spl27_289
| spl27_290
| spl27_970
| ~ spl27_164
| ~ spl27_338 ),
inference(avatar_split_clause,[],[f2977,f2948,f1246,f13219,f2337,f2333]) ).
fof(f13219,plain,
( spl27_970
<=> ! [X4,X0,X3,X2,X1] :
( ~ one_sorted_str(X0)
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X4))
| empty_carrier(X2)
| ~ net_str(X2,X0)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,sK17(sK8(the_carrier(sK5))))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,sK17(sK8(the_carrier(sK5)))))))
| sP2(X1,X2,X3)
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_970])]) ).
fof(f2977,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,sK17(sK8(the_carrier(sK5))))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,sK17(sK8(the_carrier(sK5)))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X4))
| empty(the_carrier(sK5))
| empty(sK8(the_carrier(sK5))) )
| ~ spl27_164
| ~ spl27_338 ),
inference(resolution,[],[f2949,f1247]) ).
fof(f13217,plain,
( spl27_969
| ~ spl27_130
| ~ spl27_328 ),
inference(avatar_split_clause,[],[f2815,f2802,f968,f13215]) ).
fof(f13215,plain,
( spl27_969
<=> ! [X6,X4,X3,X0,X7,X5,X2,X1] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ net_str(sK5,X2)
| ~ one_sorted_str(X2)
| apply_netmap(X2,sK5,sK14(X3,sK5,X4,sK13(X0,sK5,X1,apply_netmap(X5,X6,sK13(the_carrier(sK5),X6,X5,X7))))) = apply_on_structs(sK5,X2,the_mapping(X2,sK5),sK14(X3,sK5,X4,sK13(X0,sK5,X1,apply_netmap(X5,X6,sK13(the_carrier(sK5),X6,X5,X7)))))
| sP2(X3,sK5,X4)
| empty_carrier(X2)
| ~ sP0(the_carrier(sK5),X6,X5)
| ~ element(X7,the_carrier(X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_969])]) ).
fof(f2815,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ net_str(sK5,X2)
| ~ one_sorted_str(X2)
| apply_netmap(X2,sK5,sK14(X3,sK5,X4,sK13(X0,sK5,X1,apply_netmap(X5,X6,sK13(the_carrier(sK5),X6,X5,X7))))) = apply_on_structs(sK5,X2,the_mapping(X2,sK5),sK14(X3,sK5,X4,sK13(X0,sK5,X1,apply_netmap(X5,X6,sK13(the_carrier(sK5),X6,X5,X7)))))
| sP2(X3,sK5,X4)
| empty_carrier(X2)
| ~ sP0(the_carrier(sK5),X6,X5)
| ~ element(X7,the_carrier(X6)) )
| ~ spl27_130
| ~ spl27_328 ),
inference(resolution,[],[f2803,f969]) ).
fof(f13213,plain,
( spl27_968
| ~ spl27_130
| ~ spl27_327 ),
inference(avatar_split_clause,[],[f2769,f2762,f968,f13211]) ).
fof(f13211,plain,
( spl27_968
<=> ! [X3,X4,X0,X5,X2,X1] :
( apply_netmap(X0,X1,apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,apply_netmap(X3,X4,sK13(the_carrier(sK5),X4,X3,X5))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,apply_netmap(X3,X4,sK13(the_carrier(sK5),X4,X3,X5)))))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(sK4,sK5,sK12(the_carrier(X1),sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X1),sK5,X2))
| ~ sP0(the_carrier(sK5),X4,X3)
| ~ element(X5,the_carrier(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_968])]) ).
fof(f2769,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( apply_netmap(X0,X1,apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,apply_netmap(X3,X4,sK13(the_carrier(sK5),X4,X3,X5))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,apply_netmap(X3,X4,sK13(the_carrier(sK5),X4,X3,X5)))))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(sK4,sK5,sK12(the_carrier(X1),sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X1),sK5,X2))
| ~ sP0(the_carrier(sK5),X4,X3)
| ~ element(X5,the_carrier(X4)) )
| ~ spl27_130
| ~ spl27_327 ),
inference(resolution,[],[f2763,f969]) ).
fof(f12829,plain,
( spl27_3
| ~ spl27_59
| ~ spl27_2
| ~ spl27_300
| ~ spl27_301
| spl27_1
| spl27_967
| ~ spl27_302
| ~ spl27_566 ),
inference(avatar_split_clause,[],[f5982,f5977,f2472,f12827,f234,f2468,f2464,f239,f524,f244]) ).
fof(f2464,plain,
( spl27_300
<=> function(the_mapping(sK4,sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_300])]) ).
fof(f2468,plain,
( spl27_301
<=> quasi_total(the_mapping(sK4,sK5),the_carrier(sK5),the_carrier(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_301])]) ).
fof(f12827,plain,
( spl27_967
<=> ! [X0,X3,X2,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X1)
| ~ element(X3,the_carrier(sK5))
| ~ one_sorted_str(X2)
| ~ net_str(sK4,X2)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X1)
| empty_carrier(X2)
| ~ net_str(X2,X1)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X2,sK4,apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),X3)))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X2,sK4,apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),X3))))
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_967])]) ).
fof(f2472,plain,
( spl27_302
<=> relation_of2(the_mapping(sK4,sK5),the_carrier(sK5),the_carrier(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_302])]) ).
fof(f5977,plain,
( spl27_566
<=> ! [X5,X3,X4,X2,X0,X6,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,apply_on_structs(X4,X3,X5,X6)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,apply_on_structs(X4,X3,X5,X6))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| ~ element(X6,the_carrier(X4))
| ~ relation_of2(X5,the_carrier(X4),the_carrier(X3))
| ~ quasi_total(X5,the_carrier(X4),the_carrier(X3))
| ~ function(X5)
| ~ one_sorted_str(X3)
| ~ one_sorted_str(X4)
| empty_carrier(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_566])]) ).
fof(f5982,plain,
( ! [X2,X3,X0,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X2,sK4,apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),X3)))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X2,sK4,apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),X3))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| ~ net_str(X1,X0)
| ~ net_str(sK4,X2)
| empty_carrier(sK4)
| ~ one_sorted_str(X2)
| ~ element(X3,the_carrier(sK5))
| empty_carrier(X1)
| ~ quasi_total(the_mapping(sK4,sK5),the_carrier(sK5),the_carrier(sK4))
| ~ function(the_mapping(sK4,sK5))
| ~ one_sorted_str(sK4)
| ~ one_sorted_str(sK5)
| empty_carrier(sK5) )
| ~ spl27_302
| ~ spl27_566 ),
inference(resolution,[],[f5978,f2473]) ).
fof(f2473,plain,
( relation_of2(the_mapping(sK4,sK5),the_carrier(sK5),the_carrier(sK4))
| ~ spl27_302 ),
inference(avatar_component_clause,[],[f2472]) ).
fof(f5978,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ relation_of2(X5,the_carrier(X4),the_carrier(X3))
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,apply_on_structs(X4,X3,X5,X6)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,apply_on_structs(X4,X3,X5,X6))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| ~ element(X6,the_carrier(X4))
| empty_carrier(X0)
| ~ quasi_total(X5,the_carrier(X4),the_carrier(X3))
| ~ function(X5)
| ~ one_sorted_str(X3)
| ~ one_sorted_str(X4)
| empty_carrier(X4) )
| ~ spl27_566 ),
inference(avatar_component_clause,[],[f5977]) ).
fof(f12747,plain,
( spl27_966
| ~ spl27_155
| ~ spl27_521 ),
inference(avatar_split_clause,[],[f5568,f5552,f1177,f12745]) ).
fof(f12745,plain,
( spl27_966
<=> ! [X4,X0,X3,X2,X1] :
( ~ element(X0,the_carrier(sK5))
| empty(the_carrier(X1))
| ~ net_str(X2,X3)
| empty_carrier(X2)
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| apply_netmap(X3,X2,apply_netmap(X2,X1,apply_netmap(X4,sK5,sK13(sK10(the_carrier(X1)),sK5,X4,X0)))) = apply_on_structs(X2,X3,the_mapping(X3,X2),apply_netmap(X2,X1,apply_netmap(X4,sK5,sK13(sK10(the_carrier(X1)),sK5,X4,X0))))
| ~ net_str(X1,X2)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| apply_netmap(sK4,sK5,sK12(sK10(the_carrier(X1)),sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK10(the_carrier(X1)),sK5,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_966])]) ).
fof(f5568,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ element(X0,the_carrier(sK5))
| empty(the_carrier(X1))
| ~ net_str(X2,X3)
| empty_carrier(X2)
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| apply_netmap(X3,X2,apply_netmap(X2,X1,apply_netmap(X4,sK5,sK13(sK10(the_carrier(X1)),sK5,X4,X0)))) = apply_on_structs(X2,X3,the_mapping(X3,X2),apply_netmap(X2,X1,apply_netmap(X4,sK5,sK13(sK10(the_carrier(X1)),sK5,X4,X0))))
| ~ net_str(X1,X2)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| apply_netmap(sK4,sK5,sK12(sK10(the_carrier(X1)),sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK10(the_carrier(X1)),sK5,X4)) )
| ~ spl27_155
| ~ spl27_521 ),
inference(resolution,[],[f5553,f1178]) ).
fof(f12743,plain,
( spl27_965
| ~ spl27_155
| ~ spl27_520 ),
inference(avatar_split_clause,[],[f5564,f5548,f1177,f12741]) ).
fof(f12741,plain,
( spl27_965
<=> ! [X4,X0,X3,X2,X1] :
( ~ element(X0,the_carrier(sK5))
| empty(the_carrier(X1))
| ~ net_str(X2,X3)
| empty_carrier(X2)
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| apply_netmap(X3,X2,apply_netmap(X2,X1,apply_netmap(X4,sK5,sK13(sK9(the_carrier(X1)),sK5,X4,X0)))) = apply_on_structs(X2,X3,the_mapping(X3,X2),apply_netmap(X2,X1,apply_netmap(X4,sK5,sK13(sK9(the_carrier(X1)),sK5,X4,X0))))
| ~ net_str(X1,X2)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| apply_netmap(sK4,sK5,sK12(sK9(the_carrier(X1)),sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK9(the_carrier(X1)),sK5,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_965])]) ).
fof(f5564,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ element(X0,the_carrier(sK5))
| empty(the_carrier(X1))
| ~ net_str(X2,X3)
| empty_carrier(X2)
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| apply_netmap(X3,X2,apply_netmap(X2,X1,apply_netmap(X4,sK5,sK13(sK9(the_carrier(X1)),sK5,X4,X0)))) = apply_on_structs(X2,X3,the_mapping(X3,X2),apply_netmap(X2,X1,apply_netmap(X4,sK5,sK13(sK9(the_carrier(X1)),sK5,X4,X0))))
| ~ net_str(X1,X2)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| apply_netmap(sK4,sK5,sK12(sK9(the_carrier(X1)),sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK9(the_carrier(X1)),sK5,X4)) )
| ~ spl27_155
| ~ spl27_520 ),
inference(resolution,[],[f5549,f1178]) ).
fof(f12739,plain,
( spl27_964
| ~ spl27_155
| ~ spl27_519 ),
inference(avatar_split_clause,[],[f5560,f5544,f1177,f12737]) ).
fof(f12737,plain,
( spl27_964
<=> ! [X4,X0,X3,X2,X1] :
( ~ element(X0,the_carrier(sK5))
| empty(the_carrier(X1))
| ~ net_str(X2,X3)
| empty_carrier(X2)
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| apply_netmap(X3,X2,apply_netmap(X2,X1,apply_netmap(X4,sK5,sK13(sK8(the_carrier(X1)),sK5,X4,X0)))) = apply_on_structs(X2,X3,the_mapping(X3,X2),apply_netmap(X2,X1,apply_netmap(X4,sK5,sK13(sK8(the_carrier(X1)),sK5,X4,X0))))
| ~ net_str(X1,X2)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| apply_netmap(sK4,sK5,sK12(sK8(the_carrier(X1)),sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK8(the_carrier(X1)),sK5,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_964])]) ).
fof(f5560,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ element(X0,the_carrier(sK5))
| empty(the_carrier(X1))
| ~ net_str(X2,X3)
| empty_carrier(X2)
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| apply_netmap(X3,X2,apply_netmap(X2,X1,apply_netmap(X4,sK5,sK13(sK8(the_carrier(X1)),sK5,X4,X0)))) = apply_on_structs(X2,X3,the_mapping(X3,X2),apply_netmap(X2,X1,apply_netmap(X4,sK5,sK13(sK8(the_carrier(X1)),sK5,X4,X0))))
| ~ net_str(X1,X2)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| apply_netmap(sK4,sK5,sK12(sK8(the_carrier(X1)),sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK8(the_carrier(X1)),sK5,X4)) )
| ~ spl27_155
| ~ spl27_519 ),
inference(resolution,[],[f5545,f1178]) ).
fof(f12735,plain,
( spl27_963
| ~ spl27_155
| ~ spl27_511 ),
inference(avatar_split_clause,[],[f5476,f5456,f1177,f12733]) ).
fof(f12733,plain,
( spl27_963
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ element(X0,the_carrier(sK5))
| ~ net_str(X1,X2)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| sP2(X3,X1,X4)
| apply_netmap(X2,X1,sK14(X3,X1,X4,apply_netmap(X5,sK5,sK13(sK17(powerset(the_carrier(X1))),sK5,X5,X0)))) = apply_on_structs(X1,X2,the_mapping(X2,X1),sK14(X3,X1,X4,apply_netmap(X5,sK5,sK13(sK17(powerset(the_carrier(X1))),sK5,X5,X0))))
| apply_netmap(sK4,sK5,sK12(sK17(powerset(the_carrier(X1))),sK5,X5)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK17(powerset(the_carrier(X1))),sK5,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_963])]) ).
fof(f5476,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ element(X0,the_carrier(sK5))
| ~ net_str(X1,X2)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| sP2(X3,X1,X4)
| apply_netmap(X2,X1,sK14(X3,X1,X4,apply_netmap(X5,sK5,sK13(sK17(powerset(the_carrier(X1))),sK5,X5,X0)))) = apply_on_structs(X1,X2,the_mapping(X2,X1),sK14(X3,X1,X4,apply_netmap(X5,sK5,sK13(sK17(powerset(the_carrier(X1))),sK5,X5,X0))))
| apply_netmap(sK4,sK5,sK12(sK17(powerset(the_carrier(X1))),sK5,X5)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK17(powerset(the_carrier(X1))),sK5,X5)) )
| ~ spl27_155
| ~ spl27_511 ),
inference(resolution,[],[f5457,f1178]) ).
fof(f12730,plain,
( spl27_3
| spl27_962
| ~ spl27_279
| ~ spl27_466 ),
inference(avatar_split_clause,[],[f4876,f4861,f2232,f12728,f244]) ).
fof(f12728,plain,
( spl27_962
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ one_sorted_str(X0)
| apply_netmap(sK4,sK5,sK14(X5,sK5,X6,sK12(X7,sK5,X8))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X5,sK5,X6,sK12(X7,sK5,X8)))
| sP0(X7,sK5,X8)
| ~ net_str(sK5,X0)
| sP2(X3,sK5,X4)
| apply_netmap(X0,sK5,sK14(X1,sK5,X2,sK14(X3,sK5,X4,sK15(X5,sK5,X6)))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK14(X1,sK5,X2,sK14(X3,sK5,X4,sK15(X5,sK5,X6))))
| sP2(X1,sK5,X2)
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_962])]) ).
fof(f4861,plain,
( spl27_466
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,sK15(X6,X0,X7)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,sK15(X6,X0,X7))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| ~ sP2(X6,X0,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_466])]) ).
fof(f4876,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,sK5,X2)
| apply_netmap(X0,sK5,sK14(X1,sK5,X2,sK14(X3,sK5,X4,sK15(X5,sK5,X6)))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK14(X1,sK5,X2,sK14(X3,sK5,X4,sK15(X5,sK5,X6))))
| sP2(X3,sK5,X4)
| ~ net_str(sK5,X0)
| empty_carrier(sK5)
| sP0(X7,sK5,X8)
| apply_netmap(sK4,sK5,sK14(X5,sK5,X6,sK12(X7,sK5,X8))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X5,sK5,X6,sK12(X7,sK5,X8))) )
| ~ spl27_279
| ~ spl27_466 ),
inference(resolution,[],[f4862,f2233]) ).
fof(f4862,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP2(X6,X0,X7)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,sK15(X6,X0,X7)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,sK15(X6,X0,X7))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| empty_carrier(X0) )
| ~ spl27_466 ),
inference(avatar_component_clause,[],[f4861]) ).
fof(f12726,plain,
( spl27_961
| ~ spl27_279
| ~ spl27_440 ),
inference(avatar_split_clause,[],[f4454,f4407,f2232,f12724]) ).
fof(f12724,plain,
( spl27_961
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ element(X0,the_carrier(sK5))
| apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(sK17(powerset(the_carrier(X2))),sK5,X3,X0))) = apply_on_structs(X2,X1,the_mapping(X1,X2),apply_netmap(X3,sK5,sK13(sK17(powerset(the_carrier(X2))),sK5,X3,X0)))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X4,sK5,X5)
| apply_netmap(sK4,sK5,sK14(X4,sK5,X5,sK12(sK17(powerset(the_carrier(X2))),sK5,X3))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X4,sK5,X5,sK12(sK17(powerset(the_carrier(X2))),sK5,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_961])]) ).
fof(f4407,plain,
( spl27_440
<=> ! [X4,X0,X3,X2,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(sK17(powerset(the_carrier(X2))),X1,X3)
| apply_netmap(X4,X2,apply_netmap(X3,X1,sK13(sK17(powerset(the_carrier(X2))),X1,X3,X0))) = apply_on_structs(X2,X4,the_mapping(X4,X2),apply_netmap(X3,X1,sK13(sK17(powerset(the_carrier(X2))),X1,X3,X0)))
| ~ net_str(X2,X4)
| empty_carrier(X2)
| ~ one_sorted_str(X4)
| empty_carrier(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_440])]) ).
fof(f4454,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ element(X0,the_carrier(sK5))
| apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(sK17(powerset(the_carrier(X2))),sK5,X3,X0))) = apply_on_structs(X2,X1,the_mapping(X1,X2),apply_netmap(X3,sK5,sK13(sK17(powerset(the_carrier(X2))),sK5,X3,X0)))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X4,sK5,X5)
| apply_netmap(sK4,sK5,sK14(X4,sK5,X5,sK12(sK17(powerset(the_carrier(X2))),sK5,X3))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X4,sK5,X5,sK12(sK17(powerset(the_carrier(X2))),sK5,X3))) )
| ~ spl27_279
| ~ spl27_440 ),
inference(resolution,[],[f4408,f2233]) ).
fof(f4408,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sP0(sK17(powerset(the_carrier(X2))),X1,X3)
| ~ element(X0,the_carrier(X1))
| apply_netmap(X4,X2,apply_netmap(X3,X1,sK13(sK17(powerset(the_carrier(X2))),X1,X3,X0))) = apply_on_structs(X2,X4,the_mapping(X4,X2),apply_netmap(X3,X1,sK13(sK17(powerset(the_carrier(X2))),X1,X3,X0)))
| ~ net_str(X2,X4)
| empty_carrier(X2)
| ~ one_sorted_str(X4)
| empty_carrier(X4) )
| ~ spl27_440 ),
inference(avatar_component_clause,[],[f4407]) ).
fof(f12719,plain,
( spl27_275
| spl27_3
| ~ spl27_59
| spl27_960
| ~ spl27_174
| ~ spl27_339 ),
inference(avatar_split_clause,[],[f3015,f2988,f1340,f12717,f524,f244,f2202]) ).
fof(f2202,plain,
( spl27_275
<=> empty(sK16(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_275])]) ).
fof(f12717,plain,
( spl27_960
<=> ! [X0,X3,X2,X1] :
( ~ one_sorted_str(X0)
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X3)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X3))
| empty_carrier(X1)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X1)
| empty_carrier(X2)
| ~ net_str(X2,X1)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,sK17(sK16(sK5)))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,sK17(sK16(sK5))))))
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_960])]) ).
fof(f1340,plain,
( spl27_174
<=> ! [X0] :
( element(sK17(sK16(X0)),the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(sK16(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_174])]) ).
fof(f3015,plain,
( ! [X2,X3,X0,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,sK17(sK16(sK5)))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,sK17(sK16(sK5))))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X3)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X3))
| ~ one_sorted_str(sK5)
| empty_carrier(sK5)
| empty(sK16(sK5)) )
| ~ spl27_174
| ~ spl27_339 ),
inference(resolution,[],[f2989,f1341]) ).
fof(f1341,plain,
( ! [X0] :
( element(sK17(sK16(X0)),the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(sK16(X0)) )
| ~ spl27_174 ),
inference(avatar_component_clause,[],[f1340]) ).
fof(f12597,plain,
( spl27_959
| ~ spl27_77
| ~ spl27_323 ),
inference(avatar_split_clause,[],[f2749,f2695,f625,f12595]) ).
fof(f12595,plain,
( spl27_959
<=> ! [X0,X3,X2,X1] :
( empty(sK10(powerset(X0)))
| ~ empty(X0)
| empty(powerset(X0))
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK17(sK10(powerset(X0))),X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_959])]) ).
fof(f625,plain,
( spl27_77
<=> ! [X0,X5,X2,X1] :
( in(apply_netmap(X2,X1,sK13(X0,X1,X2,X5)),X0)
| ~ element(X5,the_carrier(X1))
| ~ sP0(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_77])]) ).
fof(f2695,plain,
( spl27_323
<=> ! [X0,X1] :
( empty(powerset(X0))
| empty(sK10(powerset(X0)))
| ~ empty(X0)
| ~ in(X1,sK17(sK10(powerset(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_323])]) ).
fof(f2749,plain,
( ! [X2,X3,X0,X1] :
( empty(sK10(powerset(X0)))
| ~ empty(X0)
| empty(powerset(X0))
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK17(sK10(powerset(X0))),X2,X3) )
| ~ spl27_77
| ~ spl27_323 ),
inference(resolution,[],[f2696,f626]) ).
fof(f626,plain,
( ! [X2,X0,X1,X5] :
( in(apply_netmap(X2,X1,sK13(X0,X1,X2,X5)),X0)
| ~ element(X5,the_carrier(X1))
| ~ sP0(X0,X1,X2) )
| ~ spl27_77 ),
inference(avatar_component_clause,[],[f625]) ).
fof(f2696,plain,
( ! [X0,X1] :
( ~ in(X1,sK17(sK10(powerset(X0))))
| empty(sK10(powerset(X0)))
| ~ empty(X0)
| empty(powerset(X0)) )
| ~ spl27_323 ),
inference(avatar_component_clause,[],[f2695]) ).
fof(f12593,plain,
( spl27_958
| ~ spl27_77
| ~ spl27_322 ),
inference(avatar_split_clause,[],[f2741,f2691,f625,f12591]) ).
fof(f12591,plain,
( spl27_958
<=> ! [X0,X3,X2,X1] :
( empty(sK9(powerset(X0)))
| ~ empty(X0)
| empty(powerset(X0))
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK17(sK9(powerset(X0))),X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_958])]) ).
fof(f2691,plain,
( spl27_322
<=> ! [X0,X1] :
( empty(powerset(X0))
| empty(sK9(powerset(X0)))
| ~ empty(X0)
| ~ in(X1,sK17(sK9(powerset(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_322])]) ).
fof(f2741,plain,
( ! [X2,X3,X0,X1] :
( empty(sK9(powerset(X0)))
| ~ empty(X0)
| empty(powerset(X0))
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK17(sK9(powerset(X0))),X2,X3) )
| ~ spl27_77
| ~ spl27_322 ),
inference(resolution,[],[f2692,f626]) ).
fof(f2692,plain,
( ! [X0,X1] :
( ~ in(X1,sK17(sK9(powerset(X0))))
| empty(sK9(powerset(X0)))
| ~ empty(X0)
| empty(powerset(X0)) )
| ~ spl27_322 ),
inference(avatar_component_clause,[],[f2691]) ).
fof(f12589,plain,
( spl27_957
| ~ spl27_77
| ~ spl27_321 ),
inference(avatar_split_clause,[],[f2733,f2687,f625,f12587]) ).
fof(f12587,plain,
( spl27_957
<=> ! [X0,X3,X2,X1] :
( empty(sK8(powerset(X0)))
| ~ empty(X0)
| empty(powerset(X0))
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK17(sK8(powerset(X0))),X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_957])]) ).
fof(f2687,plain,
( spl27_321
<=> ! [X0,X1] :
( empty(powerset(X0))
| empty(sK8(powerset(X0)))
| ~ empty(X0)
| ~ in(X1,sK17(sK8(powerset(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_321])]) ).
fof(f2733,plain,
( ! [X2,X3,X0,X1] :
( empty(sK8(powerset(X0)))
| ~ empty(X0)
| empty(powerset(X0))
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK17(sK8(powerset(X0))),X2,X3) )
| ~ spl27_77
| ~ spl27_321 ),
inference(resolution,[],[f2688,f626]) ).
fof(f2688,plain,
( ! [X0,X1] :
( ~ in(X1,sK17(sK8(powerset(X0))))
| empty(sK8(powerset(X0)))
| ~ empty(X0)
| empty(powerset(X0)) )
| ~ spl27_321 ),
inference(avatar_component_clause,[],[f2687]) ).
fof(f12585,plain,
( spl27_956
| ~ spl27_171
| ~ spl27_305 ),
inference(avatar_split_clause,[],[f2557,f2532,f1279,f12583]) ).
fof(f12583,plain,
( spl27_956
<=> ! [X0,X1] :
( empty(sK20(X0,X1))
| empty(sK17(powerset(sK20(X0,X1))))
| element(sK17(sK17(powerset(sK20(X0,X1)))),cartesian_product2(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_956])]) ).
fof(f1279,plain,
( spl27_171
<=> ! [X2,X0,X1] :
( ~ in(X0,sK20(X1,X2))
| element(X0,cartesian_product2(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_171])]) ).
fof(f2532,plain,
( spl27_305
<=> ! [X0] :
( empty(sK17(powerset(X0)))
| empty(X0)
| in(sK17(sK17(powerset(X0))),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_305])]) ).
fof(f2557,plain,
( ! [X0,X1] :
( empty(sK20(X0,X1))
| empty(sK17(powerset(sK20(X0,X1))))
| element(sK17(sK17(powerset(sK20(X0,X1)))),cartesian_product2(X0,X1)) )
| ~ spl27_171
| ~ spl27_305 ),
inference(resolution,[],[f2533,f1280]) ).
fof(f1280,plain,
( ! [X2,X0,X1] :
( ~ in(X0,sK20(X1,X2))
| element(X0,cartesian_product2(X1,X2)) )
| ~ spl27_171 ),
inference(avatar_component_clause,[],[f1279]) ).
fof(f2533,plain,
( ! [X0] :
( in(sK17(sK17(powerset(X0))),X0)
| empty(X0)
| empty(sK17(powerset(X0))) )
| ~ spl27_305 ),
inference(avatar_component_clause,[],[f2532]) ).
fof(f12581,plain,
( spl27_955
| ~ spl27_172
| ~ spl27_305 ),
inference(avatar_split_clause,[],[f2555,f2532,f1283,f12579]) ).
fof(f12579,plain,
( spl27_955
<=> ! [X0,X1] :
( empty(sK19(X0,X1))
| empty(sK17(powerset(sK19(X0,X1))))
| element(sK17(sK17(powerset(sK19(X0,X1)))),cartesian_product2(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_955])]) ).
fof(f1283,plain,
( spl27_172
<=> ! [X2,X0,X1] :
( ~ in(X0,sK19(X1,X2))
| element(X0,cartesian_product2(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_172])]) ).
fof(f2555,plain,
( ! [X0,X1] :
( empty(sK19(X0,X1))
| empty(sK17(powerset(sK19(X0,X1))))
| element(sK17(sK17(powerset(sK19(X0,X1)))),cartesian_product2(X0,X1)) )
| ~ spl27_172
| ~ spl27_305 ),
inference(resolution,[],[f2533,f1284]) ).
fof(f1284,plain,
( ! [X2,X0,X1] :
( ~ in(X0,sK19(X1,X2))
| element(X0,cartesian_product2(X1,X2)) )
| ~ spl27_172 ),
inference(avatar_component_clause,[],[f1283]) ).
fof(f12577,plain,
( spl27_292
| spl27_954
| ~ spl27_163
| ~ spl27_676
| ~ spl27_696 ),
inference(avatar_split_clause,[],[f7143,f7101,f6860,f1242,f12574,f2354]) ).
fof(f12574,plain,
( spl27_954
<=> apply_netmap(sK4,sK5,sK17(sK17(powerset(the_carrier(sK5))))) = apply(the_mapping(sK4,sK5),sK17(sK17(powerset(the_carrier(sK5))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_954])]) ).
fof(f6860,plain,
( spl27_676
<=> apply_netmap(sK4,sK5,sK17(sK17(powerset(the_carrier(sK5))))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK17(sK17(powerset(the_carrier(sK5))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_676])]) ).
fof(f7101,plain,
( spl27_696
<=> ! [X0] :
( ~ element(X0,the_carrier(sK5))
| apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),X0) = apply(the_mapping(sK4,sK5),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_696])]) ).
fof(f7143,plain,
( apply_netmap(sK4,sK5,sK17(sK17(powerset(the_carrier(sK5))))) = apply(the_mapping(sK4,sK5),sK17(sK17(powerset(the_carrier(sK5)))))
| empty(sK17(powerset(the_carrier(sK5))))
| ~ spl27_163
| ~ spl27_676
| ~ spl27_696 ),
inference(forward_demodulation,[],[f7136,f6862]) ).
fof(f6862,plain,
( apply_netmap(sK4,sK5,sK17(sK17(powerset(the_carrier(sK5))))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK17(sK17(powerset(the_carrier(sK5)))))
| ~ spl27_676 ),
inference(avatar_component_clause,[],[f6860]) ).
fof(f7136,plain,
( apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK17(sK17(powerset(the_carrier(sK5))))) = apply(the_mapping(sK4,sK5),sK17(sK17(powerset(the_carrier(sK5)))))
| empty(sK17(powerset(the_carrier(sK5))))
| ~ spl27_163
| ~ spl27_696 ),
inference(resolution,[],[f7102,f1243]) ).
fof(f7102,plain,
( ! [X0] :
( ~ element(X0,the_carrier(sK5))
| apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),X0) = apply(the_mapping(sK4,sK5),X0) )
| ~ spl27_696 ),
inference(avatar_component_clause,[],[f7101]) ).
fof(f12572,plain,
( spl27_953
| ~ spl27_122
| ~ spl27_305 ),
inference(avatar_split_clause,[],[f2552,f2532,f915,f12570]) ).
fof(f12570,plain,
( spl27_953
<=> ! [X0] :
( empty(sK16(X0))
| empty(sK17(powerset(sK16(X0))))
| element(sK17(sK17(powerset(sK16(X0)))),the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_953])]) ).
fof(f915,plain,
( spl27_122
<=> ! [X0,X1] :
( element(X0,the_carrier(X1))
| ~ in(X0,sK16(X1))
| ~ one_sorted_str(X1)
| empty_carrier(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_122])]) ).
fof(f2552,plain,
( ! [X0] :
( empty(sK16(X0))
| empty(sK17(powerset(sK16(X0))))
| element(sK17(sK17(powerset(sK16(X0)))),the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) )
| ~ spl27_122
| ~ spl27_305 ),
inference(resolution,[],[f2533,f916]) ).
fof(f916,plain,
( ! [X0,X1] :
( ~ in(X0,sK16(X1))
| element(X0,the_carrier(X1))
| ~ one_sorted_str(X1)
| empty_carrier(X1) )
| ~ spl27_122 ),
inference(avatar_component_clause,[],[f915]) ).
fof(f12104,plain,
( spl27_3
| ~ spl27_59
| ~ spl27_2
| ~ spl27_300
| ~ spl27_301
| spl27_1
| spl27_952
| ~ spl27_302
| ~ spl27_561 ),
inference(avatar_split_clause,[],[f5956,f5875,f2472,f12102,f234,f2468,f2464,f239,f524,f244]) ).
fof(f12102,plain,
( spl27_952
<=> ! [X2,X4,X0,X3,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X1)
| ~ element(X4,the_carrier(sK5))
| ~ net_str(X1,X0)
| sP2(X2,sK4,X3)
| ~ one_sorted_str(X1)
| ~ net_str(sK4,X1)
| apply_netmap(X0,X1,apply_netmap(X1,sK4,sK14(X2,sK4,X3,apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),X4)))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,sK4,sK14(X2,sK4,X3,apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),X4))))
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_952])]) ).
fof(f5875,plain,
( spl27_561
<=> ! [X2,X3,X4,X0,X6,X5,X1,X7] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,apply_on_structs(X5,X2,X6,X7)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,apply_on_structs(X5,X2,X6,X7))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| ~ element(X7,the_carrier(X5))
| ~ relation_of2(X6,the_carrier(X5),the_carrier(X2))
| ~ quasi_total(X6,the_carrier(X5),the_carrier(X2))
| ~ function(X6)
| ~ one_sorted_str(X2)
| ~ one_sorted_str(X5)
| empty_carrier(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_561])]) ).
fof(f5956,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,sK4,sK14(X2,sK4,X3,apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),X4)))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,sK4,sK14(X2,sK4,X3,apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),X4))))
| ~ net_str(sK4,X1)
| empty_carrier(sK4)
| ~ one_sorted_str(X1)
| sP2(X2,sK4,X3)
| ~ net_str(X1,X0)
| ~ element(X4,the_carrier(sK5))
| empty_carrier(X1)
| ~ quasi_total(the_mapping(sK4,sK5),the_carrier(sK5),the_carrier(sK4))
| ~ function(the_mapping(sK4,sK5))
| ~ one_sorted_str(sK4)
| ~ one_sorted_str(sK5)
| empty_carrier(sK5) )
| ~ spl27_302
| ~ spl27_561 ),
inference(resolution,[],[f5876,f2473]) ).
fof(f5876,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ relation_of2(X6,the_carrier(X5),the_carrier(X2))
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,apply_on_structs(X5,X2,X6,X7)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,apply_on_structs(X5,X2,X6,X7))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| ~ element(X7,the_carrier(X5))
| empty_carrier(X0)
| ~ quasi_total(X6,the_carrier(X5),the_carrier(X2))
| ~ function(X6)
| ~ one_sorted_str(X2)
| ~ one_sorted_str(X5)
| empty_carrier(X5) )
| ~ spl27_561 ),
inference(avatar_component_clause,[],[f5875]) ).
fof(f12031,plain,
( spl27_3
| ~ spl27_59
| ~ spl27_2
| ~ spl27_300
| ~ spl27_301
| spl27_1
| spl27_951
| ~ spl27_302
| ~ spl27_560 ),
inference(avatar_split_clause,[],[f5951,f5871,f2472,f12029,f234,f2468,f2464,f239,f524,f244]) ).
fof(f12029,plain,
( spl27_951
<=> ! [X4,X0,X3,X2,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X2)
| ~ element(X4,the_carrier(sK5))
| ~ one_sorted_str(X2)
| ~ net_str(sK4,X2)
| ~ net_str(X2,X0)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X2,sK4,apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),X4)))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X2,sK4,apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),X4))))
| sP2(X1,X2,X3)
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_951])]) ).
fof(f5871,plain,
( spl27_560
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,apply_on_structs(X5,X4,X6,X7)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,apply_on_structs(X5,X4,X6,X7))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| ~ element(X7,the_carrier(X5))
| ~ relation_of2(X6,the_carrier(X5),the_carrier(X4))
| ~ quasi_total(X6,the_carrier(X5),the_carrier(X4))
| ~ function(X6)
| ~ one_sorted_str(X4)
| ~ one_sorted_str(X5)
| empty_carrier(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_560])]) ).
fof(f5951,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X2,sK4,apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),X4)))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X2,sK4,apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),X4))))
| ~ net_str(X2,X0)
| ~ net_str(sK4,X2)
| empty_carrier(sK4)
| ~ one_sorted_str(X2)
| ~ element(X4,the_carrier(sK5))
| empty_carrier(X2)
| ~ quasi_total(the_mapping(sK4,sK5),the_carrier(sK5),the_carrier(sK4))
| ~ function(the_mapping(sK4,sK5))
| ~ one_sorted_str(sK4)
| ~ one_sorted_str(sK5)
| empty_carrier(sK5) )
| ~ spl27_302
| ~ spl27_560 ),
inference(resolution,[],[f5872,f2473]) ).
fof(f5872,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ relation_of2(X6,the_carrier(X5),the_carrier(X4))
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,apply_on_structs(X5,X4,X6,X7)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,apply_on_structs(X5,X4,X6,X7))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| ~ element(X7,the_carrier(X5))
| empty_carrier(X0)
| ~ quasi_total(X6,the_carrier(X5),the_carrier(X4))
| ~ function(X6)
| ~ one_sorted_str(X4)
| ~ one_sorted_str(X5)
| empty_carrier(X5) )
| ~ spl27_560 ),
inference(avatar_component_clause,[],[f5871]) ).
fof(f12027,plain,
( spl27_950
| ~ spl27_155
| ~ spl27_514 ),
inference(avatar_split_clause,[],[f5497,f5468,f1177,f12025]) ).
fof(f12025,plain,
( spl27_950
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ element(X0,the_carrier(sK5))
| empty(the_carrier(X1))
| ~ net_str(X1,X2)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| sP2(X3,X1,X4)
| apply_netmap(X2,X1,sK14(X3,X1,X4,apply_netmap(X5,sK5,sK13(sK10(the_carrier(X1)),sK5,X5,X0)))) = apply_on_structs(X1,X2,the_mapping(X2,X1),sK14(X3,X1,X4,apply_netmap(X5,sK5,sK13(sK10(the_carrier(X1)),sK5,X5,X0))))
| apply_netmap(sK4,sK5,sK12(sK10(the_carrier(X1)),sK5,X5)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK10(the_carrier(X1)),sK5,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_950])]) ).
fof(f5497,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ element(X0,the_carrier(sK5))
| empty(the_carrier(X1))
| ~ net_str(X1,X2)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| sP2(X3,X1,X4)
| apply_netmap(X2,X1,sK14(X3,X1,X4,apply_netmap(X5,sK5,sK13(sK10(the_carrier(X1)),sK5,X5,X0)))) = apply_on_structs(X1,X2,the_mapping(X2,X1),sK14(X3,X1,X4,apply_netmap(X5,sK5,sK13(sK10(the_carrier(X1)),sK5,X5,X0))))
| apply_netmap(sK4,sK5,sK12(sK10(the_carrier(X1)),sK5,X5)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK10(the_carrier(X1)),sK5,X5)) )
| ~ spl27_155
| ~ spl27_514 ),
inference(resolution,[],[f5469,f1178]) ).
fof(f12023,plain,
( spl27_949
| ~ spl27_155
| ~ spl27_513 ),
inference(avatar_split_clause,[],[f5493,f5464,f1177,f12021]) ).
fof(f12021,plain,
( spl27_949
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ element(X0,the_carrier(sK5))
| empty(the_carrier(X1))
| ~ net_str(X1,X2)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| sP2(X3,X1,X4)
| apply_netmap(X2,X1,sK14(X3,X1,X4,apply_netmap(X5,sK5,sK13(sK9(the_carrier(X1)),sK5,X5,X0)))) = apply_on_structs(X1,X2,the_mapping(X2,X1),sK14(X3,X1,X4,apply_netmap(X5,sK5,sK13(sK9(the_carrier(X1)),sK5,X5,X0))))
| apply_netmap(sK4,sK5,sK12(sK9(the_carrier(X1)),sK5,X5)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK9(the_carrier(X1)),sK5,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_949])]) ).
fof(f5493,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ element(X0,the_carrier(sK5))
| empty(the_carrier(X1))
| ~ net_str(X1,X2)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| sP2(X3,X1,X4)
| apply_netmap(X2,X1,sK14(X3,X1,X4,apply_netmap(X5,sK5,sK13(sK9(the_carrier(X1)),sK5,X5,X0)))) = apply_on_structs(X1,X2,the_mapping(X2,X1),sK14(X3,X1,X4,apply_netmap(X5,sK5,sK13(sK9(the_carrier(X1)),sK5,X5,X0))))
| apply_netmap(sK4,sK5,sK12(sK9(the_carrier(X1)),sK5,X5)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK9(the_carrier(X1)),sK5,X5)) )
| ~ spl27_155
| ~ spl27_513 ),
inference(resolution,[],[f5465,f1178]) ).
fof(f12019,plain,
( spl27_948
| ~ spl27_155
| ~ spl27_512 ),
inference(avatar_split_clause,[],[f5480,f5460,f1177,f12017]) ).
fof(f12017,plain,
( spl27_948
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ element(X0,the_carrier(sK5))
| empty(the_carrier(X1))
| ~ net_str(X1,X2)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| sP2(X3,X1,X4)
| apply_netmap(X2,X1,sK14(X3,X1,X4,apply_netmap(X5,sK5,sK13(sK8(the_carrier(X1)),sK5,X5,X0)))) = apply_on_structs(X1,X2,the_mapping(X2,X1),sK14(X3,X1,X4,apply_netmap(X5,sK5,sK13(sK8(the_carrier(X1)),sK5,X5,X0))))
| apply_netmap(sK4,sK5,sK12(sK8(the_carrier(X1)),sK5,X5)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK8(the_carrier(X1)),sK5,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_948])]) ).
fof(f5480,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ element(X0,the_carrier(sK5))
| empty(the_carrier(X1))
| ~ net_str(X1,X2)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| sP2(X3,X1,X4)
| apply_netmap(X2,X1,sK14(X3,X1,X4,apply_netmap(X5,sK5,sK13(sK8(the_carrier(X1)),sK5,X5,X0)))) = apply_on_structs(X1,X2,the_mapping(X2,X1),sK14(X3,X1,X4,apply_netmap(X5,sK5,sK13(sK8(the_carrier(X1)),sK5,X5,X0))))
| apply_netmap(sK4,sK5,sK12(sK8(the_carrier(X1)),sK5,X5)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK8(the_carrier(X1)),sK5,X5)) )
| ~ spl27_155
| ~ spl27_512 ),
inference(resolution,[],[f5461,f1178]) ).
fof(f12015,plain,
( spl27_947
| ~ spl27_279
| ~ spl27_443 ),
inference(avatar_split_clause,[],[f4466,f4419,f2232,f12013]) ).
fof(f12013,plain,
( spl27_947
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ element(X0,the_carrier(sK5))
| empty(the_carrier(X1))
| apply_netmap(X2,X1,apply_netmap(X3,sK5,sK13(sK10(the_carrier(X1)),sK5,X3,X0))) = apply_on_structs(X1,X2,the_mapping(X2,X1),apply_netmap(X3,sK5,sK13(sK10(the_carrier(X1)),sK5,X3,X0)))
| ~ net_str(X1,X2)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| sP2(X4,sK5,X5)
| apply_netmap(sK4,sK5,sK14(X4,sK5,X5,sK12(sK10(the_carrier(X1)),sK5,X3))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X4,sK5,X5,sK12(sK10(the_carrier(X1)),sK5,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_947])]) ).
fof(f4419,plain,
( spl27_443
<=> ! [X4,X0,X3,X2,X1] :
( empty(the_carrier(X0))
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK10(the_carrier(X0)),X2,X3)
| apply_netmap(X4,X0,apply_netmap(X3,X2,sK13(sK10(the_carrier(X0)),X2,X3,X1))) = apply_on_structs(X0,X4,the_mapping(X4,X0),apply_netmap(X3,X2,sK13(sK10(the_carrier(X0)),X2,X3,X1)))
| ~ net_str(X0,X4)
| empty_carrier(X0)
| ~ one_sorted_str(X4)
| empty_carrier(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_443])]) ).
fof(f4466,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ element(X0,the_carrier(sK5))
| empty(the_carrier(X1))
| apply_netmap(X2,X1,apply_netmap(X3,sK5,sK13(sK10(the_carrier(X1)),sK5,X3,X0))) = apply_on_structs(X1,X2,the_mapping(X2,X1),apply_netmap(X3,sK5,sK13(sK10(the_carrier(X1)),sK5,X3,X0)))
| ~ net_str(X1,X2)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| sP2(X4,sK5,X5)
| apply_netmap(sK4,sK5,sK14(X4,sK5,X5,sK12(sK10(the_carrier(X1)),sK5,X3))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X4,sK5,X5,sK12(sK10(the_carrier(X1)),sK5,X3))) )
| ~ spl27_279
| ~ spl27_443 ),
inference(resolution,[],[f4420,f2233]) ).
fof(f4420,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sP0(sK10(the_carrier(X0)),X2,X3)
| ~ element(X1,the_carrier(X2))
| empty(the_carrier(X0))
| apply_netmap(X4,X0,apply_netmap(X3,X2,sK13(sK10(the_carrier(X0)),X2,X3,X1))) = apply_on_structs(X0,X4,the_mapping(X4,X0),apply_netmap(X3,X2,sK13(sK10(the_carrier(X0)),X2,X3,X1)))
| ~ net_str(X0,X4)
| empty_carrier(X0)
| ~ one_sorted_str(X4)
| empty_carrier(X4) )
| ~ spl27_443 ),
inference(avatar_component_clause,[],[f4419]) ).
fof(f12011,plain,
( spl27_946
| ~ spl27_279
| ~ spl27_442 ),
inference(avatar_split_clause,[],[f4462,f4415,f2232,f12009]) ).
fof(f12009,plain,
( spl27_946
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ element(X0,the_carrier(sK5))
| empty(the_carrier(X1))
| apply_netmap(X2,X1,apply_netmap(X3,sK5,sK13(sK9(the_carrier(X1)),sK5,X3,X0))) = apply_on_structs(X1,X2,the_mapping(X2,X1),apply_netmap(X3,sK5,sK13(sK9(the_carrier(X1)),sK5,X3,X0)))
| ~ net_str(X1,X2)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| sP2(X4,sK5,X5)
| apply_netmap(sK4,sK5,sK14(X4,sK5,X5,sK12(sK9(the_carrier(X1)),sK5,X3))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X4,sK5,X5,sK12(sK9(the_carrier(X1)),sK5,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_946])]) ).
fof(f4415,plain,
( spl27_442
<=> ! [X4,X0,X3,X2,X1] :
( empty(the_carrier(X0))
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK9(the_carrier(X0)),X2,X3)
| apply_netmap(X4,X0,apply_netmap(X3,X2,sK13(sK9(the_carrier(X0)),X2,X3,X1))) = apply_on_structs(X0,X4,the_mapping(X4,X0),apply_netmap(X3,X2,sK13(sK9(the_carrier(X0)),X2,X3,X1)))
| ~ net_str(X0,X4)
| empty_carrier(X0)
| ~ one_sorted_str(X4)
| empty_carrier(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_442])]) ).
fof(f4462,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ element(X0,the_carrier(sK5))
| empty(the_carrier(X1))
| apply_netmap(X2,X1,apply_netmap(X3,sK5,sK13(sK9(the_carrier(X1)),sK5,X3,X0))) = apply_on_structs(X1,X2,the_mapping(X2,X1),apply_netmap(X3,sK5,sK13(sK9(the_carrier(X1)),sK5,X3,X0)))
| ~ net_str(X1,X2)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| sP2(X4,sK5,X5)
| apply_netmap(sK4,sK5,sK14(X4,sK5,X5,sK12(sK9(the_carrier(X1)),sK5,X3))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X4,sK5,X5,sK12(sK9(the_carrier(X1)),sK5,X3))) )
| ~ spl27_279
| ~ spl27_442 ),
inference(resolution,[],[f4416,f2233]) ).
fof(f4416,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sP0(sK9(the_carrier(X0)),X2,X3)
| ~ element(X1,the_carrier(X2))
| empty(the_carrier(X0))
| apply_netmap(X4,X0,apply_netmap(X3,X2,sK13(sK9(the_carrier(X0)),X2,X3,X1))) = apply_on_structs(X0,X4,the_mapping(X4,X0),apply_netmap(X3,X2,sK13(sK9(the_carrier(X0)),X2,X3,X1)))
| ~ net_str(X0,X4)
| empty_carrier(X0)
| ~ one_sorted_str(X4)
| empty_carrier(X4) )
| ~ spl27_442 ),
inference(avatar_component_clause,[],[f4415]) ).
fof(f12007,plain,
( spl27_945
| ~ spl27_279
| ~ spl27_441 ),
inference(avatar_split_clause,[],[f4458,f4411,f2232,f12005]) ).
fof(f12005,plain,
( spl27_945
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ element(X0,the_carrier(sK5))
| empty(the_carrier(X1))
| apply_netmap(X2,X1,apply_netmap(X3,sK5,sK13(sK8(the_carrier(X1)),sK5,X3,X0))) = apply_on_structs(X1,X2,the_mapping(X2,X1),apply_netmap(X3,sK5,sK13(sK8(the_carrier(X1)),sK5,X3,X0)))
| ~ net_str(X1,X2)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| sP2(X4,sK5,X5)
| apply_netmap(sK4,sK5,sK14(X4,sK5,X5,sK12(sK8(the_carrier(X1)),sK5,X3))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X4,sK5,X5,sK12(sK8(the_carrier(X1)),sK5,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_945])]) ).
fof(f4411,plain,
( spl27_441
<=> ! [X4,X0,X3,X2,X1] :
( empty(the_carrier(X0))
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK8(the_carrier(X0)),X2,X3)
| apply_netmap(X4,X0,apply_netmap(X3,X2,sK13(sK8(the_carrier(X0)),X2,X3,X1))) = apply_on_structs(X0,X4,the_mapping(X4,X0),apply_netmap(X3,X2,sK13(sK8(the_carrier(X0)),X2,X3,X1)))
| ~ net_str(X0,X4)
| empty_carrier(X0)
| ~ one_sorted_str(X4)
| empty_carrier(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_441])]) ).
fof(f4458,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ element(X0,the_carrier(sK5))
| empty(the_carrier(X1))
| apply_netmap(X2,X1,apply_netmap(X3,sK5,sK13(sK8(the_carrier(X1)),sK5,X3,X0))) = apply_on_structs(X1,X2,the_mapping(X2,X1),apply_netmap(X3,sK5,sK13(sK8(the_carrier(X1)),sK5,X3,X0)))
| ~ net_str(X1,X2)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| sP2(X4,sK5,X5)
| apply_netmap(sK4,sK5,sK14(X4,sK5,X5,sK12(sK8(the_carrier(X1)),sK5,X3))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X4,sK5,X5,sK12(sK8(the_carrier(X1)),sK5,X3))) )
| ~ spl27_279
| ~ spl27_441 ),
inference(resolution,[],[f4412,f2233]) ).
fof(f4412,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sP0(sK8(the_carrier(X0)),X2,X3)
| ~ element(X1,the_carrier(X2))
| empty(the_carrier(X0))
| apply_netmap(X4,X0,apply_netmap(X3,X2,sK13(sK8(the_carrier(X0)),X2,X3,X1))) = apply_on_structs(X0,X4,the_mapping(X4,X0),apply_netmap(X3,X2,sK13(sK8(the_carrier(X0)),X2,X3,X1)))
| ~ net_str(X0,X4)
| empty_carrier(X0)
| ~ one_sorted_str(X4)
| empty_carrier(X4) )
| ~ spl27_441 ),
inference(avatar_component_clause,[],[f4411]) ).
fof(f12003,plain,
( spl27_944
| ~ spl27_66
| ~ spl27_339 ),
inference(avatar_split_clause,[],[f3014,f2988,f568,f12001]) ).
fof(f12001,plain,
( spl27_944
<=> ! [X2,X4,X0,X5,X3,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,sK15(X4,sK5,X5))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,sK15(X4,sK5,X5)))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X3)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X3))
| ~ sP2(X4,sK5,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_944])]) ).
fof(f3014,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,sK15(X4,sK5,X5))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,sK15(X4,sK5,X5)))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X3)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X3))
| ~ sP2(X4,sK5,X5) )
| ~ spl27_66
| ~ spl27_339 ),
inference(resolution,[],[f2989,f569]) ).
fof(f11999,plain,
( spl27_686
| spl27_290
| spl27_943
| ~ spl27_166
| ~ spl27_685
| ~ spl27_696 ),
inference(avatar_split_clause,[],[f7142,f7101,f6935,f1254,f11996,f2337,f6939]) ).
fof(f11996,plain,
( spl27_943
<=> apply_netmap(sK4,sK5,sK17(sK10(the_carrier(sK5)))) = apply(the_mapping(sK4,sK5),sK17(sK10(the_carrier(sK5)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_943])]) ).
fof(f6935,plain,
( spl27_685
<=> apply_netmap(sK4,sK5,sK17(sK10(the_carrier(sK5)))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK17(sK10(the_carrier(sK5)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_685])]) ).
fof(f7142,plain,
( apply_netmap(sK4,sK5,sK17(sK10(the_carrier(sK5)))) = apply(the_mapping(sK4,sK5),sK17(sK10(the_carrier(sK5))))
| empty(the_carrier(sK5))
| empty(sK10(the_carrier(sK5)))
| ~ spl27_166
| ~ spl27_685
| ~ spl27_696 ),
inference(forward_demodulation,[],[f7135,f6937]) ).
fof(f6937,plain,
( apply_netmap(sK4,sK5,sK17(sK10(the_carrier(sK5)))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK17(sK10(the_carrier(sK5))))
| ~ spl27_685 ),
inference(avatar_component_clause,[],[f6935]) ).
fof(f7135,plain,
( apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK17(sK10(the_carrier(sK5)))) = apply(the_mapping(sK4,sK5),sK17(sK10(the_carrier(sK5))))
| empty(the_carrier(sK5))
| empty(sK10(the_carrier(sK5)))
| ~ spl27_166
| ~ spl27_696 ),
inference(resolution,[],[f7102,f1255]) ).
fof(f11994,plain,
( spl27_942
| ~ spl27_63
| ~ spl27_339 ),
inference(avatar_split_clause,[],[f3011,f2988,f556,f11992]) ).
fof(f11992,plain,
( spl27_942
<=> ! [X2,X4,X0,X5,X3,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,sK12(X4,sK5,X5))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,sK12(X4,sK5,X5)))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X3)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X3))
| sP0(X4,sK5,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_942])]) ).
fof(f3011,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,sK12(X4,sK5,X5))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,sK12(X4,sK5,X5)))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X3)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X3))
| sP0(X4,sK5,X5) )
| ~ spl27_63
| ~ spl27_339 ),
inference(resolution,[],[f2989,f557]) ).
fof(f11987,plain,
( spl27_275
| spl27_3
| ~ spl27_59
| spl27_941
| ~ spl27_174
| ~ spl27_338 ),
inference(avatar_split_clause,[],[f2975,f2948,f1340,f11985,f524,f244,f2202]) ).
fof(f11985,plain,
( spl27_941
<=> ! [X4,X0,X3,X2,X1] :
( ~ one_sorted_str(X0)
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X4))
| empty_carrier(X2)
| ~ net_str(X2,X0)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,sK17(sK16(sK5)))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,sK17(sK16(sK5))))))
| sP2(X1,X2,X3)
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_941])]) ).
fof(f2975,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,sK17(sK16(sK5)))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,sK17(sK16(sK5))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X4))
| ~ one_sorted_str(sK5)
| empty_carrier(sK5)
| empty(sK16(sK5)) )
| ~ spl27_174
| ~ spl27_338 ),
inference(resolution,[],[f2949,f1341]) ).
fof(f11885,plain,
( spl27_3
| ~ spl27_59
| ~ spl27_2
| ~ spl27_300
| ~ spl27_301
| spl27_1
| spl27_940
| ~ spl27_302
| ~ spl27_549 ),
inference(avatar_split_clause,[],[f5825,f5781,f2472,f11883,f234,f2468,f2464,f239,f524,f244]) ).
fof(f11883,plain,
( spl27_940
<=> ! [X2,X4,X0,X5,X3,X1] :
( ~ one_sorted_str(X0)
| ~ element(X5,the_carrier(sK5))
| ~ net_str(sK4,X0)
| sP2(X3,sK4,X4)
| apply_netmap(X0,sK4,sK14(X1,sK4,X2,sK14(X3,sK4,X4,apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),X5)))) = apply_on_structs(sK4,X0,the_mapping(X0,sK4),sK14(X1,sK4,X2,sK14(X3,sK4,X4,apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),X5))))
| sP2(X1,sK4,X2)
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_940])]) ).
fof(f5781,plain,
( spl27_549
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,apply_on_structs(X6,X0,X7,X8)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,apply_on_structs(X6,X0,X7,X8))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| ~ element(X8,the_carrier(X6))
| ~ relation_of2(X7,the_carrier(X6),the_carrier(X0))
| ~ quasi_total(X7,the_carrier(X6),the_carrier(X0))
| ~ function(X7)
| ~ one_sorted_str(X0)
| ~ one_sorted_str(X6)
| empty_carrier(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_549])]) ).
fof(f5825,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,sK4,X2)
| apply_netmap(X0,sK4,sK14(X1,sK4,X2,sK14(X3,sK4,X4,apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),X5)))) = apply_on_structs(sK4,X0,the_mapping(X0,sK4),sK14(X1,sK4,X2,sK14(X3,sK4,X4,apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),X5))))
| sP2(X3,sK4,X4)
| ~ net_str(sK4,X0)
| ~ element(X5,the_carrier(sK5))
| empty_carrier(sK4)
| ~ quasi_total(the_mapping(sK4,sK5),the_carrier(sK5),the_carrier(sK4))
| ~ function(the_mapping(sK4,sK5))
| ~ one_sorted_str(sK4)
| ~ one_sorted_str(sK5)
| empty_carrier(sK5) )
| ~ spl27_302
| ~ spl27_549 ),
inference(resolution,[],[f5782,f2473]) ).
fof(f5782,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ relation_of2(X7,the_carrier(X6),the_carrier(X0))
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,apply_on_structs(X6,X0,X7,X8)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,apply_on_structs(X6,X0,X7,X8))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| ~ element(X8,the_carrier(X6))
| empty_carrier(X0)
| ~ quasi_total(X7,the_carrier(X6),the_carrier(X0))
| ~ function(X7)
| ~ one_sorted_str(X0)
| ~ one_sorted_str(X6)
| empty_carrier(X6) )
| ~ spl27_549 ),
inference(avatar_component_clause,[],[f5781]) ).
fof(f11881,plain,
( spl27_939
| ~ spl27_66
| ~ spl27_338 ),
inference(avatar_split_clause,[],[f2974,f2948,f568,f11879]) ).
fof(f11879,plain,
( spl27_939
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,sK15(X5,sK5,X6))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,sK15(X5,sK5,X6)))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X4))
| ~ sP2(X5,sK5,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_939])]) ).
fof(f2974,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,sK15(X5,sK5,X6))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,sK15(X5,sK5,X6)))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X4))
| ~ sP2(X5,sK5,X6) )
| ~ spl27_66
| ~ spl27_338 ),
inference(resolution,[],[f2949,f569]) ).
fof(f11877,plain,
( spl27_938
| ~ spl27_63
| ~ spl27_338 ),
inference(avatar_split_clause,[],[f2971,f2948,f556,f11875]) ).
fof(f11875,plain,
( spl27_938
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,sK12(X5,sK5,X6))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,sK12(X5,sK5,X6)))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X4))
| sP0(X5,sK5,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_938])]) ).
fof(f2971,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,sK12(X5,sK5,X6))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,sK12(X5,sK5,X6)))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X4))
| sP0(X5,sK5,X6) )
| ~ spl27_63
| ~ spl27_338 ),
inference(resolution,[],[f2949,f557]) ).
fof(f11870,plain,
( spl27_3
| ~ spl27_59
| spl27_937
| ~ spl27_83
| ~ spl27_308 ),
inference(avatar_split_clause,[],[f2593,f2565,f664,f11868,f524,f244]) ).
fof(f11868,plain,
( spl27_937
<=> ! [X3,X4,X0,X5,X2,X1] :
( apply_netmap(X0,sK5,sK13(X1,sK5,X2,apply_on_structs(X3,sK5,X4,X5))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(X1,sK5,X2,apply_on_structs(X3,sK5,X4,X5)))
| empty_carrier(X3)
| ~ one_sorted_str(X3)
| ~ function(X4)
| ~ quasi_total(X4,the_carrier(X3),the_carrier(sK5))
| ~ relation_of2(X4,the_carrier(X3),the_carrier(sK5))
| ~ element(X5,the_carrier(X3))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ net_str(sK5,X0)
| apply_netmap(sK4,sK5,sK12(X1,sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X1,sK5,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_937])]) ).
fof(f2593,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( apply_netmap(X0,sK5,sK13(X1,sK5,X2,apply_on_structs(X3,sK5,X4,X5))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(X1,sK5,X2,apply_on_structs(X3,sK5,X4,X5)))
| apply_netmap(sK4,sK5,sK12(X1,sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X1,sK5,X2))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ element(X5,the_carrier(X3))
| ~ relation_of2(X4,the_carrier(X3),the_carrier(sK5))
| ~ quasi_total(X4,the_carrier(X3),the_carrier(sK5))
| ~ function(X4)
| ~ one_sorted_str(sK5)
| empty_carrier(sK5)
| ~ one_sorted_str(X3)
| empty_carrier(X3) )
| ~ spl27_83
| ~ spl27_308 ),
inference(resolution,[],[f2566,f665]) ).
fof(f11805,plain,
( spl27_3
| spl27_936
| ~ spl27_155
| ~ spl27_509 ),
inference(avatar_split_clause,[],[f5411,f5324,f1177,f11803,f244]) ).
fof(f11803,plain,
( spl27_936
<=> ! [X5,X4,X2,X0,X3,X1] :
( ~ one_sorted_str(X0)
| apply_netmap(sK4,sK5,sK12(X3,sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X3,sK5,X4))
| empty_carrier(X1)
| ~ element(X5,the_carrier(sK5))
| ~ one_sorted_str(X2)
| ~ net_str(sK5,X2)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X1)
| empty_carrier(X2)
| ~ net_str(X2,X1)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X2,sK5,sK13(X3,sK5,X4,X5)))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X2,sK5,sK13(X3,sK5,X4,X5))))
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_936])]) ).
fof(f5411,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X2,sK5,sK13(X3,sK5,X4,X5)))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X2,sK5,sK13(X3,sK5,X4,X5))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| ~ net_str(X1,X0)
| ~ net_str(sK5,X2)
| empty_carrier(sK5)
| ~ one_sorted_str(X2)
| ~ element(X5,the_carrier(sK5))
| empty_carrier(X1)
| apply_netmap(sK4,sK5,sK12(X3,sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X3,sK5,X4)) )
| ~ spl27_155
| ~ spl27_509 ),
inference(resolution,[],[f5325,f1178]) ).
fof(f11800,plain,
( spl27_3
| spl27_935
| ~ spl27_269
| ~ spl27_475 ),
inference(avatar_split_clause,[],[f4950,f4937,f2153,f11798,f244]) ).
fof(f11798,plain,
( spl27_935
<=> ! [X2,X4,X0,X3,X1] :
( ~ one_sorted_str(X0)
| apply_netmap(sK4,sK5,sK14(X3,sK5,X4,sK17(the_carrier(sK5)))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X3,sK5,X4,sK17(the_carrier(sK5))))
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| ~ net_str(sK5,X2)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X1)
| empty_carrier(X2)
| ~ net_str(X2,X1)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X2,sK5,sK15(X3,sK5,X4)))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X2,sK5,sK15(X3,sK5,X4))))
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_935])]) ).
fof(f2153,plain,
( spl27_269
<=> ! [X0,X1] :
( sP2(X0,sK5,X1)
| apply_netmap(sK4,sK5,sK14(X0,sK5,X1,sK17(the_carrier(sK5)))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X0,sK5,X1,sK17(the_carrier(sK5)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_269])]) ).
fof(f4950,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X2,sK5,sK15(X3,sK5,X4)))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X2,sK5,sK15(X3,sK5,X4))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| ~ net_str(X1,X0)
| ~ net_str(sK5,X2)
| empty_carrier(sK5)
| ~ one_sorted_str(X2)
| empty_carrier(X1)
| apply_netmap(sK4,sK5,sK14(X3,sK5,X4,sK17(the_carrier(sK5)))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X3,sK5,X4,sK17(the_carrier(sK5)))) )
| ~ spl27_269
| ~ spl27_475 ),
inference(resolution,[],[f4938,f2154]) ).
fof(f2154,plain,
( ! [X0,X1] :
( sP2(X0,sK5,X1)
| apply_netmap(sK4,sK5,sK14(X0,sK5,X1,sK17(the_carrier(sK5)))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X0,sK5,X1,sK17(the_carrier(sK5)))) )
| ~ spl27_269 ),
inference(avatar_component_clause,[],[f2153]) ).
fof(f11724,plain,
( spl27_3
| ~ spl27_59
| spl27_934
| ~ spl27_79
| ~ spl27_330 ),
inference(avatar_split_clause,[],[f2851,f2848,f636,f11722,f524,f244]) ).
fof(f11722,plain,
( spl27_934
<=> ! [X2,X3,X4,X0,X5,X1] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| empty_carrier(X4)
| ~ net_str(X4,sK5)
| ~ element(X5,the_carrier(X4))
| empty_carrier(X3)
| ~ one_sorted_str(X3)
| apply_netmap(X3,X2,apply_netmap(X2,sK5,sK13(X0,sK5,X1,apply_netmap(sK5,X4,X5)))) = apply_on_structs(X2,X3,the_mapping(X3,X2),apply_netmap(X2,sK5,sK13(X0,sK5,X1,apply_netmap(sK5,X4,X5))))
| ~ net_str(X2,X3)
| ~ net_str(sK5,X2)
| ~ one_sorted_str(X2)
| empty_carrier(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_934])]) ).
fof(f2851,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ net_str(X2,X3)
| empty_carrier(X2)
| ~ one_sorted_str(X2)
| ~ net_str(sK5,X2)
| apply_netmap(X3,X2,apply_netmap(X2,sK5,sK13(X0,sK5,X1,apply_netmap(sK5,X4,X5)))) = apply_on_structs(X2,X3,the_mapping(X3,X2),apply_netmap(X2,sK5,sK13(X0,sK5,X1,apply_netmap(sK5,X4,X5))))
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| ~ element(X5,the_carrier(X4))
| ~ net_str(X4,sK5)
| empty_carrier(X4)
| ~ one_sorted_str(sK5)
| empty_carrier(sK5) )
| ~ spl27_79
| ~ spl27_330 ),
inference(resolution,[],[f2849,f637]) ).
fof(f11602,plain,
( spl27_679
| spl27_290
| spl27_933
| ~ spl27_165
| ~ spl27_678
| ~ spl27_696 ),
inference(avatar_split_clause,[],[f7141,f7101,f6876,f1250,f11599,f2337,f6880]) ).
fof(f11599,plain,
( spl27_933
<=> apply_netmap(sK4,sK5,sK17(sK9(the_carrier(sK5)))) = apply(the_mapping(sK4,sK5),sK17(sK9(the_carrier(sK5)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_933])]) ).
fof(f6876,plain,
( spl27_678
<=> apply_netmap(sK4,sK5,sK17(sK9(the_carrier(sK5)))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK17(sK9(the_carrier(sK5)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_678])]) ).
fof(f7141,plain,
( apply_netmap(sK4,sK5,sK17(sK9(the_carrier(sK5)))) = apply(the_mapping(sK4,sK5),sK17(sK9(the_carrier(sK5))))
| empty(the_carrier(sK5))
| empty(sK9(the_carrier(sK5)))
| ~ spl27_165
| ~ spl27_678
| ~ spl27_696 ),
inference(forward_demodulation,[],[f7134,f6878]) ).
fof(f6878,plain,
( apply_netmap(sK4,sK5,sK17(sK9(the_carrier(sK5)))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK17(sK9(the_carrier(sK5))))
| ~ spl27_678 ),
inference(avatar_component_clause,[],[f6876]) ).
fof(f7134,plain,
( apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK17(sK9(the_carrier(sK5)))) = apply(the_mapping(sK4,sK5),sK17(sK9(the_carrier(sK5))))
| empty(the_carrier(sK5))
| empty(sK9(the_carrier(sK5)))
| ~ spl27_165
| ~ spl27_696 ),
inference(resolution,[],[f7102,f1251]) ).
fof(f11471,plain,
( spl27_932
| ~ spl27_20
| ~ spl27_340 ),
inference(avatar_split_clause,[],[f3035,f3028,f326,f11469]) ).
fof(f11469,plain,
( spl27_932
<=> ! [X0,X1] :
( empty(powerset(powerset(cartesian_product2(X0,X1))))
| empty(powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(powerset(powerset(cartesian_product2(X0,X1))),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_932])]) ).
fof(f326,plain,
( spl27_20
<=> ! [X0] : subset(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_20])]) ).
fof(f3028,plain,
( spl27_340
<=> ! [X2,X0,X1] :
( ~ subset(powerset(cartesian_product2(X0,X1)),X2)
| empty(powerset(X2))
| empty(powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(powerset(X2),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_340])]) ).
fof(f3035,plain,
( ! [X0,X1] :
( empty(powerset(powerset(cartesian_product2(X0,X1))))
| empty(powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(powerset(powerset(cartesian_product2(X0,X1))),X0,X1) )
| ~ spl27_20
| ~ spl27_340 ),
inference(resolution,[],[f3029,f327]) ).
fof(f327,plain,
( ! [X0] : subset(X0,X0)
| ~ spl27_20 ),
inference(avatar_component_clause,[],[f326]) ).
fof(f3029,plain,
( ! [X2,X0,X1] :
( ~ subset(powerset(cartesian_product2(X0,X1)),X2)
| empty(powerset(X2))
| empty(powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(powerset(X2),X0,X1) )
| ~ spl27_340 ),
inference(avatar_component_clause,[],[f3028]) ).
fof(f11467,plain,
( spl27_931
| ~ spl27_95
| ~ spl27_333 ),
inference(avatar_split_clause,[],[f2922,f2896,f760,f11465]) ).
fof(f11465,plain,
( spl27_931
<=> ! [X0] :
( empty(sK10(powerset(X0)))
| element(sK17(sK17(sK10(powerset(X0)))),X0)
| empty(powerset(X0))
| empty(sK17(sK10(powerset(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_931])]) ).
fof(f2922,plain,
( ! [X0] :
( empty(sK10(powerset(X0)))
| element(sK17(sK17(sK10(powerset(X0)))),X0)
| empty(powerset(X0))
| empty(sK17(sK10(powerset(X0)))) )
| ~ spl27_95
| ~ spl27_333 ),
inference(resolution,[],[f2897,f761]) ).
fof(f11463,plain,
( spl27_930
| ~ spl27_95
| ~ spl27_332 ),
inference(avatar_split_clause,[],[f2914,f2892,f760,f11461]) ).
fof(f11461,plain,
( spl27_930
<=> ! [X0] :
( empty(sK9(powerset(X0)))
| element(sK17(sK17(sK9(powerset(X0)))),X0)
| empty(powerset(X0))
| empty(sK17(sK9(powerset(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_930])]) ).
fof(f2914,plain,
( ! [X0] :
( empty(sK9(powerset(X0)))
| element(sK17(sK17(sK9(powerset(X0)))),X0)
| empty(powerset(X0))
| empty(sK17(sK9(powerset(X0)))) )
| ~ spl27_95
| ~ spl27_332 ),
inference(resolution,[],[f2893,f761]) ).
fof(f11459,plain,
( spl27_929
| ~ spl27_95
| ~ spl27_331 ),
inference(avatar_split_clause,[],[f2906,f2888,f760,f11457]) ).
fof(f11457,plain,
( spl27_929
<=> ! [X0] :
( empty(sK8(powerset(X0)))
| element(sK17(sK17(sK8(powerset(X0)))),X0)
| empty(powerset(X0))
| empty(sK17(sK8(powerset(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_929])]) ).
fof(f2906,plain,
( ! [X0] :
( empty(sK8(powerset(X0)))
| element(sK17(sK17(sK8(powerset(X0)))),X0)
| empty(powerset(X0))
| empty(sK17(sK8(powerset(X0)))) )
| ~ spl27_95
| ~ spl27_331 ),
inference(resolution,[],[f2889,f761]) ).
fof(f11455,plain,
( spl27_928
| ~ spl27_95
| ~ spl27_320 ),
inference(avatar_split_clause,[],[f2728,f2683,f760,f11453]) ).
fof(f11453,plain,
( spl27_928
<=> ! [X0] :
( element(sK17(sK17(sK17(powerset(powerset(X0))))),X0)
| empty(sK17(powerset(powerset(X0))))
| empty(sK17(sK17(powerset(powerset(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_928])]) ).
fof(f2728,plain,
( ! [X0] :
( element(sK17(sK17(sK17(powerset(powerset(X0))))),X0)
| empty(sK17(powerset(powerset(X0))))
| empty(sK17(sK17(powerset(powerset(X0))))) )
| ~ spl27_95
| ~ spl27_320 ),
inference(resolution,[],[f2684,f761]) ).
fof(f11451,plain,
( spl27_927
| ~ spl27_77
| ~ spl27_312 ),
inference(avatar_split_clause,[],[f2668,f2625,f625,f11449]) ).
fof(f11449,plain,
( spl27_927
<=> ! [X0,X3,X2,X1] :
( ~ empty(X0)
| empty(sK17(powerset(powerset(X0))))
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK17(sK17(powerset(powerset(X0)))),X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_927])]) ).
fof(f2625,plain,
( spl27_312
<=> ! [X0,X1] :
( empty(sK17(powerset(powerset(X0))))
| ~ empty(X0)
| ~ in(X1,sK17(sK17(powerset(powerset(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_312])]) ).
fof(f2668,plain,
( ! [X2,X3,X0,X1] :
( ~ empty(X0)
| empty(sK17(powerset(powerset(X0))))
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK17(sK17(powerset(powerset(X0)))),X2,X3) )
| ~ spl27_77
| ~ spl27_312 ),
inference(resolution,[],[f2626,f626]) ).
fof(f2626,plain,
( ! [X0,X1] :
( ~ in(X1,sK17(sK17(powerset(powerset(X0)))))
| ~ empty(X0)
| empty(sK17(powerset(powerset(X0)))) )
| ~ spl27_312 ),
inference(avatar_component_clause,[],[f2625]) ).
fof(f11325,plain,
( spl27_3
| spl27_926
| ~ spl27_155
| ~ spl27_505 ),
inference(avatar_split_clause,[],[f5271,f5178,f1177,f11323,f244]) ).
fof(f11323,plain,
( spl27_926
<=> ! [X2,X6,X4,X3,X0,X5,X1] :
( ~ one_sorted_str(X0)
| apply_netmap(sK4,sK5,sK12(X4,sK5,X5)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X4,sK5,X5))
| empty_carrier(X1)
| ~ element(X6,the_carrier(sK5))
| ~ net_str(X1,X0)
| sP2(X2,sK5,X3)
| ~ one_sorted_str(X1)
| ~ net_str(sK5,X1)
| apply_netmap(X0,X1,apply_netmap(X1,sK5,sK14(X2,sK5,X3,sK13(X4,sK5,X5,X6)))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,sK5,sK14(X2,sK5,X3,sK13(X4,sK5,X5,X6))))
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_926])]) ).
fof(f5271,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,sK5,sK14(X2,sK5,X3,sK13(X4,sK5,X5,X6)))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,sK5,sK14(X2,sK5,X3,sK13(X4,sK5,X5,X6))))
| ~ net_str(sK5,X1)
| empty_carrier(sK5)
| ~ one_sorted_str(X1)
| sP2(X2,sK5,X3)
| ~ net_str(X1,X0)
| ~ element(X6,the_carrier(sK5))
| empty_carrier(X1)
| apply_netmap(sK4,sK5,sK12(X4,sK5,X5)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X4,sK5,X5)) )
| ~ spl27_155
| ~ spl27_505 ),
inference(resolution,[],[f5179,f1178]) ).
fof(f11264,plain,
( spl27_3
| spl27_925
| ~ spl27_155
| ~ spl27_503 ),
inference(avatar_split_clause,[],[f5226,f5170,f1177,f11262,f244]) ).
fof(f11262,plain,
( spl27_925
<=> ! [X6,X4,X3,X0,X5,X2,X1] :
( ~ one_sorted_str(X0)
| apply_netmap(sK4,sK5,sK12(X4,sK5,X5)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X4,sK5,X5))
| empty_carrier(X2)
| ~ element(X6,the_carrier(sK5))
| ~ one_sorted_str(X2)
| ~ net_str(sK5,X2)
| ~ net_str(X2,X0)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X2,sK5,sK13(X4,sK5,X5,X6)))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X2,sK5,sK13(X4,sK5,X5,X6))))
| sP2(X1,X2,X3)
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_925])]) ).
fof(f5226,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X2,sK5,sK13(X4,sK5,X5,X6)))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X2,sK5,sK13(X4,sK5,X5,X6))))
| ~ net_str(X2,X0)
| ~ net_str(sK5,X2)
| empty_carrier(sK5)
| ~ one_sorted_str(X2)
| ~ element(X6,the_carrier(sK5))
| empty_carrier(X2)
| apply_netmap(sK4,sK5,sK12(X4,sK5,X5)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X4,sK5,X5)) )
| ~ spl27_155
| ~ spl27_503 ),
inference(resolution,[],[f5171,f1178]) ).
fof(f11260,plain,
( spl27_924
| ~ spl27_155
| ~ spl27_497 ),
inference(avatar_split_clause,[],[f5117,f5092,f1177,f11258]) ).
fof(f11258,plain,
( spl27_924
<=> ! [X4,X0,X3,X2,X1] :
( empty_carrier(X0)
| ~ element(X1,the_carrier(sK5))
| ~ one_sorted_str(X0)
| ~ net_str(X2,X3)
| empty_carrier(X2)
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| apply_netmap(X3,X2,apply_netmap(X2,X0,apply_netmap(X4,sK5,sK13(sK16(X0),sK5,X4,X1)))) = apply_on_structs(X2,X3,the_mapping(X3,X2),apply_netmap(X2,X0,apply_netmap(X4,sK5,sK13(sK16(X0),sK5,X4,X1))))
| ~ net_str(X0,X2)
| ~ one_sorted_str(X2)
| apply_netmap(sK4,sK5,sK12(sK16(X0),sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK16(X0),sK5,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_924])]) ).
fof(f5117,plain,
( ! [X2,X3,X0,X1,X4] :
( empty_carrier(X0)
| ~ element(X1,the_carrier(sK5))
| ~ one_sorted_str(X0)
| ~ net_str(X2,X3)
| empty_carrier(X2)
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| apply_netmap(X3,X2,apply_netmap(X2,X0,apply_netmap(X4,sK5,sK13(sK16(X0),sK5,X4,X1)))) = apply_on_structs(X2,X3,the_mapping(X3,X2),apply_netmap(X2,X0,apply_netmap(X4,sK5,sK13(sK16(X0),sK5,X4,X1))))
| ~ net_str(X0,X2)
| ~ one_sorted_str(X2)
| apply_netmap(sK4,sK5,sK12(sK16(X0),sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK16(X0),sK5,X4)) )
| ~ spl27_155
| ~ spl27_497 ),
inference(resolution,[],[f5093,f1178]) ).
fof(f11255,plain,
( spl27_3
| spl27_923
| ~ spl27_269
| ~ spl27_472 ),
inference(avatar_split_clause,[],[f4924,f4902,f2153,f11253,f244]) ).
fof(f11253,plain,
( spl27_923
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ one_sorted_str(X0)
| apply_netmap(sK4,sK5,sK14(X4,sK5,X5,sK17(the_carrier(sK5)))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X4,sK5,X5,sK17(the_carrier(sK5))))
| empty_carrier(X1)
| ~ net_str(X1,X0)
| sP2(X2,sK5,X3)
| ~ one_sorted_str(X1)
| ~ net_str(sK5,X1)
| apply_netmap(X0,X1,apply_netmap(X1,sK5,sK14(X2,sK5,X3,sK15(X4,sK5,X5)))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,sK5,sK14(X2,sK5,X3,sK15(X4,sK5,X5))))
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_923])]) ).
fof(f4924,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,sK5,sK14(X2,sK5,X3,sK15(X4,sK5,X5)))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,sK5,sK14(X2,sK5,X3,sK15(X4,sK5,X5))))
| ~ net_str(sK5,X1)
| empty_carrier(sK5)
| ~ one_sorted_str(X1)
| sP2(X2,sK5,X3)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| apply_netmap(sK4,sK5,sK14(X4,sK5,X5,sK17(the_carrier(sK5)))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X4,sK5,X5,sK17(the_carrier(sK5)))) )
| ~ spl27_269
| ~ spl27_472 ),
inference(resolution,[],[f4903,f2154]) ).
fof(f11250,plain,
( spl27_3
| spl27_922
| ~ spl27_269
| ~ spl27_470 ),
inference(avatar_split_clause,[],[f4914,f4893,f2153,f11248,f244]) ).
fof(f11248,plain,
( spl27_922
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ one_sorted_str(X0)
| apply_netmap(sK4,sK5,sK14(X4,sK5,X5,sK17(the_carrier(sK5)))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X4,sK5,X5,sK17(the_carrier(sK5))))
| empty_carrier(X2)
| ~ one_sorted_str(X2)
| ~ net_str(sK5,X2)
| ~ net_str(X2,X0)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X2,sK5,sK15(X4,sK5,X5)))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X2,sK5,sK15(X4,sK5,X5))))
| sP2(X1,X2,X3)
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_922])]) ).
fof(f4914,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X2,sK5,sK15(X4,sK5,X5)))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X2,sK5,sK15(X4,sK5,X5))))
| ~ net_str(X2,X0)
| ~ net_str(sK5,X2)
| empty_carrier(sK5)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| apply_netmap(sK4,sK5,sK14(X4,sK5,X5,sK17(the_carrier(sK5)))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X4,sK5,X5,sK17(the_carrier(sK5)))) )
| ~ spl27_269
| ~ spl27_470 ),
inference(resolution,[],[f4894,f2154]) ).
fof(f11246,plain,
( spl27_289
| spl27_290
| spl27_921
| ~ spl27_164
| ~ spl27_677
| ~ spl27_696 ),
inference(avatar_split_clause,[],[f7140,f7101,f6868,f1246,f11243,f2337,f2333]) ).
fof(f11243,plain,
( spl27_921
<=> apply_netmap(sK4,sK5,sK17(sK8(the_carrier(sK5)))) = apply(the_mapping(sK4,sK5),sK17(sK8(the_carrier(sK5)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_921])]) ).
fof(f6868,plain,
( spl27_677
<=> apply_netmap(sK4,sK5,sK17(sK8(the_carrier(sK5)))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK17(sK8(the_carrier(sK5)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_677])]) ).
fof(f7140,plain,
( apply_netmap(sK4,sK5,sK17(sK8(the_carrier(sK5)))) = apply(the_mapping(sK4,sK5),sK17(sK8(the_carrier(sK5))))
| empty(the_carrier(sK5))
| empty(sK8(the_carrier(sK5)))
| ~ spl27_164
| ~ spl27_677
| ~ spl27_696 ),
inference(forward_demodulation,[],[f7133,f6870]) ).
fof(f6870,plain,
( apply_netmap(sK4,sK5,sK17(sK8(the_carrier(sK5)))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK17(sK8(the_carrier(sK5))))
| ~ spl27_677 ),
inference(avatar_component_clause,[],[f6868]) ).
fof(f7133,plain,
( apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK17(sK8(the_carrier(sK5)))) = apply(the_mapping(sK4,sK5),sK17(sK8(the_carrier(sK5))))
| empty(the_carrier(sK5))
| empty(sK8(the_carrier(sK5)))
| ~ spl27_164
| ~ spl27_696 ),
inference(resolution,[],[f7102,f1247]) ).
fof(f11173,plain,
( spl27_3
| ~ spl27_59
| spl27_920
| ~ spl27_79
| ~ spl27_328 ),
inference(avatar_split_clause,[],[f2811,f2802,f636,f11171,f524,f244]) ).
fof(f11171,plain,
( spl27_920
<=> ! [X2,X6,X4,X3,X0,X5,X1] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| empty_carrier(X5)
| ~ net_str(X5,sK5)
| ~ element(X6,the_carrier(X5))
| empty_carrier(X2)
| sP2(X3,sK5,X4)
| apply_netmap(X2,sK5,sK14(X3,sK5,X4,sK13(X0,sK5,X1,apply_netmap(sK5,X5,X6)))) = apply_on_structs(sK5,X2,the_mapping(X2,sK5),sK14(X3,sK5,X4,sK13(X0,sK5,X1,apply_netmap(sK5,X5,X6))))
| ~ net_str(sK5,X2)
| ~ one_sorted_str(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_920])]) ).
fof(f2811,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ net_str(sK5,X2)
| ~ one_sorted_str(X2)
| apply_netmap(X2,sK5,sK14(X3,sK5,X4,sK13(X0,sK5,X1,apply_netmap(sK5,X5,X6)))) = apply_on_structs(sK5,X2,the_mapping(X2,sK5),sK14(X3,sK5,X4,sK13(X0,sK5,X1,apply_netmap(sK5,X5,X6))))
| sP2(X3,sK5,X4)
| empty_carrier(X2)
| ~ element(X6,the_carrier(X5))
| ~ net_str(X5,sK5)
| empty_carrier(X5)
| ~ one_sorted_str(sK5)
| empty_carrier(sK5) )
| ~ spl27_79
| ~ spl27_328 ),
inference(resolution,[],[f2803,f637]) ).
fof(f11101,plain,
( spl27_3
| ~ spl27_59
| spl27_919
| ~ spl27_79
| ~ spl27_327 ),
inference(avatar_split_clause,[],[f2765,f2762,f636,f11099,f524,f244]) ).
fof(f11099,plain,
( spl27_919
<=> ! [X4,X0,X3,X2,X1] :
( apply_netmap(X0,X1,apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,apply_netmap(sK5,X3,X4)))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,apply_netmap(sK5,X3,X4))))
| empty_carrier(X3)
| ~ net_str(X3,sK5)
| ~ element(X4,the_carrier(X3))
| apply_netmap(sK4,sK5,sK12(the_carrier(X1),sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X1),sK5,X2))
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty_carrier(X1)
| ~ net_str(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_919])]) ).
fof(f2765,plain,
( ! [X2,X3,X0,X1,X4] :
( apply_netmap(X0,X1,apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,apply_netmap(sK5,X3,X4)))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,apply_netmap(sK5,X3,X4))))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(sK4,sK5,sK12(the_carrier(X1),sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X1),sK5,X2))
| ~ element(X4,the_carrier(X3))
| ~ net_str(X3,sK5)
| empty_carrier(X3)
| ~ one_sorted_str(sK5)
| empty_carrier(sK5) )
| ~ spl27_79
| ~ spl27_327 ),
inference(resolution,[],[f2763,f637]) ).
fof(f11097,plain,
( spl27_918
| ~ spl27_187
| ~ spl27_308 ),
inference(avatar_split_clause,[],[f2582,f2565,f1405,f11095]) ).
fof(f11095,plain,
( spl27_918
<=> ! [X3,X4,X0,X5,X2,X1] :
( apply_netmap(X0,sK5,sK13(X1,sK5,X2,apply_netmap(X3,X4,sK13(sK17(powerset(the_carrier(sK5))),X4,X3,X5)))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(X1,sK5,X2,apply_netmap(X3,X4,sK13(sK17(powerset(the_carrier(sK5))),X4,X3,X5))))
| apply_netmap(sK4,sK5,sK12(X1,sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X1,sK5,X2))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ element(X5,the_carrier(X4))
| ~ sP0(sK17(powerset(the_carrier(sK5))),X4,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_918])]) ).
fof(f2582,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( apply_netmap(X0,sK5,sK13(X1,sK5,X2,apply_netmap(X3,X4,sK13(sK17(powerset(the_carrier(sK5))),X4,X3,X5)))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(X1,sK5,X2,apply_netmap(X3,X4,sK13(sK17(powerset(the_carrier(sK5))),X4,X3,X5))))
| apply_netmap(sK4,sK5,sK12(X1,sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X1,sK5,X2))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ element(X5,the_carrier(X4))
| ~ sP0(sK17(powerset(the_carrier(sK5))),X4,X3) )
| ~ spl27_187
| ~ spl27_308 ),
inference(resolution,[],[f2566,f1406]) ).
fof(f11085,plain,
( spl27_290
| spl27_917
| ~ spl27_190
| ~ spl27_308 ),
inference(avatar_split_clause,[],[f2581,f2565,f1417,f11083,f2337]) ).
fof(f11083,plain,
( spl27_917
<=> ! [X3,X4,X0,X5,X2,X1] :
( apply_netmap(X0,sK5,sK13(X1,sK5,X2,apply_netmap(X3,X4,sK13(sK10(the_carrier(sK5)),X4,X3,X5)))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(X1,sK5,X2,apply_netmap(X3,X4,sK13(sK10(the_carrier(sK5)),X4,X3,X5))))
| ~ sP0(sK10(the_carrier(sK5)),X4,X3)
| ~ element(X5,the_carrier(X4))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ net_str(sK5,X0)
| apply_netmap(sK4,sK5,sK12(X1,sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X1,sK5,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_917])]) ).
fof(f2581,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( apply_netmap(X0,sK5,sK13(X1,sK5,X2,apply_netmap(X3,X4,sK13(sK10(the_carrier(sK5)),X4,X3,X5)))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(X1,sK5,X2,apply_netmap(X3,X4,sK13(sK10(the_carrier(sK5)),X4,X3,X5))))
| apply_netmap(sK4,sK5,sK12(X1,sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X1,sK5,X2))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty(the_carrier(sK5))
| ~ element(X5,the_carrier(X4))
| ~ sP0(sK10(the_carrier(sK5)),X4,X3) )
| ~ spl27_190
| ~ spl27_308 ),
inference(resolution,[],[f2566,f1418]) ).
fof(f11073,plain,
( spl27_290
| spl27_916
| ~ spl27_189
| ~ spl27_308 ),
inference(avatar_split_clause,[],[f2580,f2565,f1413,f11071,f2337]) ).
fof(f11071,plain,
( spl27_916
<=> ! [X3,X4,X0,X5,X2,X1] :
( apply_netmap(X0,sK5,sK13(X1,sK5,X2,apply_netmap(X3,X4,sK13(sK9(the_carrier(sK5)),X4,X3,X5)))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(X1,sK5,X2,apply_netmap(X3,X4,sK13(sK9(the_carrier(sK5)),X4,X3,X5))))
| ~ sP0(sK9(the_carrier(sK5)),X4,X3)
| ~ element(X5,the_carrier(X4))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ net_str(sK5,X0)
| apply_netmap(sK4,sK5,sK12(X1,sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X1,sK5,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_916])]) ).
fof(f2580,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( apply_netmap(X0,sK5,sK13(X1,sK5,X2,apply_netmap(X3,X4,sK13(sK9(the_carrier(sK5)),X4,X3,X5)))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(X1,sK5,X2,apply_netmap(X3,X4,sK13(sK9(the_carrier(sK5)),X4,X3,X5))))
| apply_netmap(sK4,sK5,sK12(X1,sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X1,sK5,X2))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty(the_carrier(sK5))
| ~ element(X5,the_carrier(X4))
| ~ sP0(sK9(the_carrier(sK5)),X4,X3) )
| ~ spl27_189
| ~ spl27_308 ),
inference(resolution,[],[f2566,f1414]) ).
fof(f11061,plain,
( spl27_915
| ~ spl27_66
| ~ spl27_696 ),
inference(avatar_split_clause,[],[f7130,f7101,f568,f11059]) ).
fof(f11059,plain,
( spl27_915
<=> ! [X0,X1] :
( apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK15(X0,sK5,X1)) = apply(the_mapping(sK4,sK5),sK15(X0,sK5,X1))
| ~ sP2(X0,sK5,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_915])]) ).
fof(f7130,plain,
( ! [X0,X1] :
( apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK15(X0,sK5,X1)) = apply(the_mapping(sK4,sK5),sK15(X0,sK5,X1))
| ~ sP2(X0,sK5,X1) )
| ~ spl27_66
| ~ spl27_696 ),
inference(resolution,[],[f7102,f569]) ).
fof(f11057,plain,
( spl27_290
| spl27_914
| ~ spl27_188
| ~ spl27_308 ),
inference(avatar_split_clause,[],[f2579,f2565,f1409,f11055,f2337]) ).
fof(f11055,plain,
( spl27_914
<=> ! [X3,X4,X0,X5,X2,X1] :
( apply_netmap(X0,sK5,sK13(X1,sK5,X2,apply_netmap(X3,X4,sK13(sK8(the_carrier(sK5)),X4,X3,X5)))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(X1,sK5,X2,apply_netmap(X3,X4,sK13(sK8(the_carrier(sK5)),X4,X3,X5))))
| ~ sP0(sK8(the_carrier(sK5)),X4,X3)
| ~ element(X5,the_carrier(X4))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ net_str(sK5,X0)
| apply_netmap(sK4,sK5,sK12(X1,sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X1,sK5,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_914])]) ).
fof(f2579,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( apply_netmap(X0,sK5,sK13(X1,sK5,X2,apply_netmap(X3,X4,sK13(sK8(the_carrier(sK5)),X4,X3,X5)))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(X1,sK5,X2,apply_netmap(X3,X4,sK13(sK8(the_carrier(sK5)),X4,X3,X5))))
| apply_netmap(sK4,sK5,sK12(X1,sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X1,sK5,X2))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty(the_carrier(sK5))
| ~ element(X5,the_carrier(X4))
| ~ sP0(sK8(the_carrier(sK5)),X4,X3) )
| ~ spl27_188
| ~ spl27_308 ),
inference(resolution,[],[f2566,f1410]) ).
fof(f10996,plain,
( spl27_3
| spl27_913
| ~ spl27_246
| ~ spl27_279 ),
inference(avatar_split_clause,[],[f2240,f2232,f1913,f10994,f244]) ).
fof(f10994,plain,
( spl27_913
<=> ! [X3,X4,X0,X6,X5,X2,X1] :
( sP2(X2,sK5,X3)
| ~ net_str(X4,X5)
| ~ element(X6,the_carrier(sK5))
| ~ one_sorted_str(X4)
| ~ net_str(sK5,X4)
| apply_netmap(X5,X4,apply_netmap(X4,sK5,sK13(X0,sK5,X1,X6))) = apply_on_structs(X4,X5,the_mapping(X5,X4),apply_netmap(X4,sK5,sK13(X0,sK5,X1,X6)))
| ~ one_sorted_str(X5)
| empty_carrier(X5)
| empty_carrier(X4)
| apply_netmap(sK4,sK5,sK14(X2,sK5,X3,sK12(X0,sK5,X1))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X2,sK5,X3,sK12(X0,sK5,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_913])]) ).
fof(f2240,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( sP2(X2,sK5,X3)
| apply_netmap(sK4,sK5,sK14(X2,sK5,X3,sK12(X0,sK5,X1))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X2,sK5,X3,sK12(X0,sK5,X1)))
| empty_carrier(X4)
| ~ one_sorted_str(X5)
| empty_carrier(X5)
| apply_netmap(X5,X4,apply_netmap(X4,sK5,sK13(X0,sK5,X1,X6))) = apply_on_structs(X4,X5,the_mapping(X5,X4),apply_netmap(X4,sK5,sK13(X0,sK5,X1,X6)))
| ~ net_str(sK5,X4)
| empty_carrier(sK5)
| ~ one_sorted_str(X4)
| ~ element(X6,the_carrier(sK5))
| ~ net_str(X4,X5) )
| ~ spl27_246
| ~ spl27_279 ),
inference(resolution,[],[f2233,f1914]) ).
fof(f10821,plain,
( spl27_3
| spl27_912
| ~ spl27_155
| ~ spl27_498 ),
inference(avatar_split_clause,[],[f5121,f5096,f1177,f10819,f244]) ).
fof(f10819,plain,
( spl27_912
<=> ! [X5,X1,X4,X2,X0,X6,X3,X7] :
( ~ one_sorted_str(X0)
| apply_netmap(sK4,sK5,sK12(X5,sK5,X6)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X5,sK5,X6))
| ~ element(X7,the_carrier(sK5))
| ~ net_str(sK5,X0)
| sP2(X3,sK5,X4)
| apply_netmap(X0,sK5,sK14(X1,sK5,X2,sK14(X3,sK5,X4,sK13(X5,sK5,X6,X7)))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK14(X1,sK5,X2,sK14(X3,sK5,X4,sK13(X5,sK5,X6,X7))))
| sP2(X1,sK5,X2)
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_912])]) ).
fof(f5121,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,sK5,X2)
| apply_netmap(X0,sK5,sK14(X1,sK5,X2,sK14(X3,sK5,X4,sK13(X5,sK5,X6,X7)))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK14(X1,sK5,X2,sK14(X3,sK5,X4,sK13(X5,sK5,X6,X7))))
| sP2(X3,sK5,X4)
| ~ net_str(sK5,X0)
| ~ element(X7,the_carrier(sK5))
| empty_carrier(sK5)
| apply_netmap(sK4,sK5,sK12(X5,sK5,X6)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X5,sK5,X6)) )
| ~ spl27_155
| ~ spl27_498 ),
inference(resolution,[],[f5097,f1178]) ).
fof(f10817,plain,
( spl27_911
| ~ spl27_155
| ~ spl27_490 ),
inference(avatar_split_clause,[],[f5068,f5048,f1177,f10815]) ).
fof(f10815,plain,
( spl27_911
<=> ! [X5,X4,X0,X3,X2,X1] :
( empty_carrier(X0)
| ~ element(X1,the_carrier(sK5))
| ~ one_sorted_str(X0)
| ~ net_str(X0,X2)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| sP2(X3,X0,X4)
| apply_netmap(X2,X0,sK14(X3,X0,X4,apply_netmap(X5,sK5,sK13(sK16(X0),sK5,X5,X1)))) = apply_on_structs(X0,X2,the_mapping(X2,X0),sK14(X3,X0,X4,apply_netmap(X5,sK5,sK13(sK16(X0),sK5,X5,X1))))
| apply_netmap(sK4,sK5,sK12(sK16(X0),sK5,X5)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK16(X0),sK5,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_911])]) ).
fof(f5068,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( empty_carrier(X0)
| ~ element(X1,the_carrier(sK5))
| ~ one_sorted_str(X0)
| ~ net_str(X0,X2)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| sP2(X3,X0,X4)
| apply_netmap(X2,X0,sK14(X3,X0,X4,apply_netmap(X5,sK5,sK13(sK16(X0),sK5,X5,X1)))) = apply_on_structs(X0,X2,the_mapping(X2,X0),sK14(X3,X0,X4,apply_netmap(X5,sK5,sK13(sK16(X0),sK5,X5,X1))))
| apply_netmap(sK4,sK5,sK12(sK16(X0),sK5,X5)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK16(X0),sK5,X5)) )
| ~ spl27_155
| ~ spl27_490 ),
inference(resolution,[],[f5049,f1178]) ).
fof(f10812,plain,
( spl27_3
| spl27_910
| ~ spl27_269
| ~ spl27_466 ),
inference(avatar_split_clause,[],[f4877,f4861,f2153,f10810,f244]) ).
fof(f10810,plain,
( spl27_910
<=> ! [X5,X4,X2,X0,X6,X3,X1] :
( ~ one_sorted_str(X0)
| apply_netmap(sK4,sK5,sK14(X5,sK5,X6,sK17(the_carrier(sK5)))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X5,sK5,X6,sK17(the_carrier(sK5))))
| ~ net_str(sK5,X0)
| sP2(X3,sK5,X4)
| apply_netmap(X0,sK5,sK14(X1,sK5,X2,sK14(X3,sK5,X4,sK15(X5,sK5,X6)))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK14(X1,sK5,X2,sK14(X3,sK5,X4,sK15(X5,sK5,X6))))
| sP2(X1,sK5,X2)
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_910])]) ).
fof(f4877,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,sK5,X2)
| apply_netmap(X0,sK5,sK14(X1,sK5,X2,sK14(X3,sK5,X4,sK15(X5,sK5,X6)))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK14(X1,sK5,X2,sK14(X3,sK5,X4,sK15(X5,sK5,X6))))
| sP2(X3,sK5,X4)
| ~ net_str(sK5,X0)
| empty_carrier(sK5)
| apply_netmap(sK4,sK5,sK14(X5,sK5,X6,sK17(the_carrier(sK5)))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X5,sK5,X6,sK17(the_carrier(sK5)))) )
| ~ spl27_269
| ~ spl27_466 ),
inference(resolution,[],[f4862,f2154]) ).
fof(f10808,plain,
( spl27_909
| ~ spl27_63
| ~ spl27_696 ),
inference(avatar_split_clause,[],[f7127,f7101,f556,f10806]) ).
fof(f7127,plain,
( ! [X0,X1] :
( apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1)) = apply(the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| sP0(X0,sK5,X1) )
| ~ spl27_63
| ~ spl27_696 ),
inference(resolution,[],[f7102,f557]) ).
fof(f10804,plain,
( spl27_908
| ~ spl27_279
| ~ spl27_417 ),
inference(avatar_split_clause,[],[f4178,f4175,f2232,f10802]) ).
fof(f10802,plain,
( spl27_908
<=> ! [X5,X4,X0,X3,X2,X1] :
( empty_carrier(X0)
| ~ element(X1,the_carrier(sK5))
| ~ one_sorted_str(X0)
| apply_netmap(X2,X0,apply_netmap(X3,sK5,sK13(sK16(X0),sK5,X3,X1))) = apply_on_structs(X0,X2,the_mapping(X2,X0),apply_netmap(X3,sK5,sK13(sK16(X0),sK5,X3,X1)))
| ~ net_str(X0,X2)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| sP2(X4,sK5,X5)
| apply_netmap(sK4,sK5,sK14(X4,sK5,X5,sK12(sK16(X0),sK5,X3))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X4,sK5,X5,sK12(sK16(X0),sK5,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_908])]) ).
fof(f4175,plain,
( spl27_417
<=> ! [X4,X0,X3,X2,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK16(X0),X2,X3)
| apply_netmap(X4,X0,apply_netmap(X3,X2,sK13(sK16(X0),X2,X3,X1))) = apply_on_structs(X0,X4,the_mapping(X4,X0),apply_netmap(X3,X2,sK13(sK16(X0),X2,X3,X1)))
| ~ net_str(X0,X4)
| ~ one_sorted_str(X4)
| empty_carrier(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_417])]) ).
fof(f4178,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( empty_carrier(X0)
| ~ element(X1,the_carrier(sK5))
| ~ one_sorted_str(X0)
| apply_netmap(X2,X0,apply_netmap(X3,sK5,sK13(sK16(X0),sK5,X3,X1))) = apply_on_structs(X0,X2,the_mapping(X2,X0),apply_netmap(X3,sK5,sK13(sK16(X0),sK5,X3,X1)))
| ~ net_str(X0,X2)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| sP2(X4,sK5,X5)
| apply_netmap(sK4,sK5,sK14(X4,sK5,X5,sK12(sK16(X0),sK5,X3))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X4,sK5,X5,sK12(sK16(X0),sK5,X3))) )
| ~ spl27_279
| ~ spl27_417 ),
inference(resolution,[],[f4176,f2233]) ).
fof(f4176,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sP0(sK16(X0),X2,X3)
| empty_carrier(X0)
| ~ element(X1,the_carrier(X2))
| ~ one_sorted_str(X0)
| apply_netmap(X4,X0,apply_netmap(X3,X2,sK13(sK16(X0),X2,X3,X1))) = apply_on_structs(X0,X4,the_mapping(X4,X0),apply_netmap(X3,X2,sK13(sK16(X0),X2,X3,X1)))
| ~ net_str(X0,X4)
| ~ one_sorted_str(X4)
| empty_carrier(X4) )
| ~ spl27_417 ),
inference(avatar_component_clause,[],[f4175]) ).
fof(f10743,plain,
( spl27_3
| spl27_907
| ~ spl27_243
| ~ spl27_279 ),
inference(avatar_split_clause,[],[f2241,f2232,f1859,f10741,f244]) ).
fof(f10741,plain,
( spl27_907
<=> ! [X5,X6,X4,X7,X0,X3,X2,X1] :
( sP2(X2,sK5,X3)
| ~ net_str(sK5,X4)
| ~ element(X7,the_carrier(sK5))
| apply_netmap(X4,sK5,sK14(X5,sK5,X6,sK13(X0,sK5,X1,X7))) = apply_on_structs(sK5,X4,the_mapping(X4,sK5),sK14(X5,sK5,X6,sK13(X0,sK5,X1,X7)))
| sP2(X5,sK5,X6)
| ~ one_sorted_str(X4)
| empty_carrier(X4)
| apply_netmap(sK4,sK5,sK14(X2,sK5,X3,sK12(X0,sK5,X1))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X2,sK5,X3,sK12(X0,sK5,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_907])]) ).
fof(f2241,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( sP2(X2,sK5,X3)
| apply_netmap(sK4,sK5,sK14(X2,sK5,X3,sK12(X0,sK5,X1))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X2,sK5,X3,sK12(X0,sK5,X1)))
| empty_carrier(sK5)
| ~ one_sorted_str(X4)
| empty_carrier(X4)
| sP2(X5,sK5,X6)
| apply_netmap(X4,sK5,sK14(X5,sK5,X6,sK13(X0,sK5,X1,X7))) = apply_on_structs(sK5,X4,the_mapping(X4,sK5),sK14(X5,sK5,X6,sK13(X0,sK5,X1,X7)))
| ~ element(X7,the_carrier(sK5))
| ~ net_str(sK5,X4) )
| ~ spl27_243
| ~ spl27_279 ),
inference(resolution,[],[f2233,f1860]) ).
fof(f10674,plain,
( spl27_906
| ~ spl27_23
| ~ spl27_339 ),
inference(avatar_split_clause,[],[f3016,f2988,f338,f10672]) ).
fof(f10672,plain,
( spl27_906
<=> ! [X0,X3,X2,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,sK17(the_carrier(sK5)))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,sK17(the_carrier(sK5))))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X3)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_906])]) ).
fof(f338,plain,
( spl27_23
<=> ! [X0] : element(sK17(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_23])]) ).
fof(f3016,plain,
( ! [X2,X3,X0,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,sK17(the_carrier(sK5)))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,sK17(the_carrier(sK5))))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X3)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X3)) )
| ~ spl27_23
| ~ spl27_339 ),
inference(resolution,[],[f2989,f339]) ).
fof(f339,plain,
( ! [X0] : element(sK17(X0),X0)
| ~ spl27_23 ),
inference(avatar_component_clause,[],[f338]) ).
fof(f10670,plain,
( spl27_905
| ~ spl27_75
| ~ spl27_330 ),
inference(avatar_split_clause,[],[f2873,f2848,f615,f10668]) ).
fof(f10668,plain,
( spl27_905
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ net_str(X2,X3)
| empty_carrier(X2)
| ~ one_sorted_str(X2)
| ~ net_str(sK5,X2)
| apply_netmap(X3,X2,apply_netmap(X2,sK5,sK13(X0,sK5,X1,sK14(X4,sK5,X5,X6)))) = apply_on_structs(X2,X3,the_mapping(X3,X2),apply_netmap(X2,sK5,sK13(X0,sK5,X1,sK14(X4,sK5,X5,X6))))
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| sP2(X4,sK5,X5)
| ~ element(X6,the_carrier(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_905])]) ).
fof(f2873,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ net_str(X2,X3)
| empty_carrier(X2)
| ~ one_sorted_str(X2)
| ~ net_str(sK5,X2)
| apply_netmap(X3,X2,apply_netmap(X2,sK5,sK13(X0,sK5,X1,sK14(X4,sK5,X5,X6)))) = apply_on_structs(X2,X3,the_mapping(X3,X2),apply_netmap(X2,sK5,sK13(X0,sK5,X1,sK14(X4,sK5,X5,X6))))
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| sP2(X4,sK5,X5)
| ~ element(X6,the_carrier(sK5)) )
| ~ spl27_75
| ~ spl27_330 ),
inference(resolution,[],[f2849,f616]) ).
fof(f10666,plain,
( spl27_904
| ~ spl27_73
| ~ spl27_330 ),
inference(avatar_split_clause,[],[f2872,f2848,f607,f10664]) ).
fof(f10664,plain,
( spl27_904
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ net_str(X2,X3)
| empty_carrier(X2)
| ~ one_sorted_str(X2)
| ~ net_str(sK5,X2)
| apply_netmap(X3,X2,apply_netmap(X2,sK5,sK13(X0,sK5,X1,sK13(X4,sK5,X5,X6)))) = apply_on_structs(X2,X3,the_mapping(X3,X2),apply_netmap(X2,sK5,sK13(X0,sK5,X1,sK13(X4,sK5,X5,X6))))
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| ~ element(X6,the_carrier(sK5))
| ~ sP0(X4,sK5,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_904])]) ).
fof(f2872,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ net_str(X2,X3)
| empty_carrier(X2)
| ~ one_sorted_str(X2)
| ~ net_str(sK5,X2)
| apply_netmap(X3,X2,apply_netmap(X2,sK5,sK13(X0,sK5,X1,sK13(X4,sK5,X5,X6)))) = apply_on_structs(X2,X3,the_mapping(X3,X2),apply_netmap(X2,sK5,sK13(X0,sK5,X1,sK13(X4,sK5,X5,X6))))
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| ~ element(X6,the_carrier(sK5))
| ~ sP0(X4,sK5,X5) )
| ~ spl27_73
| ~ spl27_330 ),
inference(resolution,[],[f2849,f608]) ).
fof(f10654,plain,
( spl27_3
| ~ spl27_59
| spl27_903
| ~ spl27_195
| ~ spl27_308 ),
inference(avatar_split_clause,[],[f2575,f2565,f1481,f10652,f524,f244]) ).
fof(f10652,plain,
( spl27_903
<=> ! [X3,X4,X0,X5,X2,X1] :
( apply_netmap(X0,sK5,sK13(X1,sK5,X2,apply_netmap(X3,X4,sK13(sK16(sK5),X4,X3,X5)))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(X1,sK5,X2,apply_netmap(X3,X4,sK13(sK16(sK5),X4,X3,X5))))
| ~ sP0(sK16(sK5),X4,X3)
| ~ element(X5,the_carrier(X4))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ net_str(sK5,X0)
| apply_netmap(sK4,sK5,sK12(X1,sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X1,sK5,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_903])]) ).
fof(f2575,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( apply_netmap(X0,sK5,sK13(X1,sK5,X2,apply_netmap(X3,X4,sK13(sK16(sK5),X4,X3,X5)))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(X1,sK5,X2,apply_netmap(X3,X4,sK13(sK16(sK5),X4,X3,X5))))
| apply_netmap(sK4,sK5,sK12(X1,sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X1,sK5,X2))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ one_sorted_str(sK5)
| empty_carrier(sK5)
| ~ element(X5,the_carrier(X4))
| ~ sP0(sK16(sK5),X4,X3) )
| ~ spl27_195
| ~ spl27_308 ),
inference(resolution,[],[f2566,f1482]) ).
fof(f10466,plain,
( spl27_902
| ~ spl27_23
| ~ spl27_338 ),
inference(avatar_split_clause,[],[f2976,f2948,f338,f10464]) ).
fof(f10464,plain,
( spl27_902
<=> ! [X4,X0,X3,X2,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,sK17(the_carrier(sK5)))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,sK17(the_carrier(sK5))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_902])]) ).
fof(f2976,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,sK17(the_carrier(sK5)))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X4,sK5,sK13(the_carrier(X2),sK5,X4,sK17(the_carrier(sK5))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X4)) )
| ~ spl27_23
| ~ spl27_338 ),
inference(resolution,[],[f2949,f339]) ).
fof(f10462,plain,
( spl27_901
| ~ spl27_75
| ~ spl27_328 ),
inference(avatar_split_clause,[],[f2833,f2802,f615,f10460]) ).
fof(f10460,plain,
( spl27_901
<=> ! [X5,X3,X4,X0,X7,X6,X2,X1] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ net_str(sK5,X2)
| ~ one_sorted_str(X2)
| apply_netmap(X2,sK5,sK14(X3,sK5,X4,sK13(X0,sK5,X1,sK14(X5,sK5,X6,X7)))) = apply_on_structs(sK5,X2,the_mapping(X2,sK5),sK14(X3,sK5,X4,sK13(X0,sK5,X1,sK14(X5,sK5,X6,X7))))
| sP2(X3,sK5,X4)
| empty_carrier(X2)
| sP2(X5,sK5,X6)
| ~ element(X7,the_carrier(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_901])]) ).
fof(f2833,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ net_str(sK5,X2)
| ~ one_sorted_str(X2)
| apply_netmap(X2,sK5,sK14(X3,sK5,X4,sK13(X0,sK5,X1,sK14(X5,sK5,X6,X7)))) = apply_on_structs(sK5,X2,the_mapping(X2,sK5),sK14(X3,sK5,X4,sK13(X0,sK5,X1,sK14(X5,sK5,X6,X7))))
| sP2(X3,sK5,X4)
| empty_carrier(X2)
| sP2(X5,sK5,X6)
| ~ element(X7,the_carrier(sK5)) )
| ~ spl27_75
| ~ spl27_328 ),
inference(resolution,[],[f2803,f616]) ).
fof(f10458,plain,
( spl27_900
| ~ spl27_73
| ~ spl27_328 ),
inference(avatar_split_clause,[],[f2832,f2802,f607,f10456]) ).
fof(f10456,plain,
( spl27_900
<=> ! [X5,X3,X4,X0,X7,X6,X2,X1] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ net_str(sK5,X2)
| ~ one_sorted_str(X2)
| apply_netmap(X2,sK5,sK14(X3,sK5,X4,sK13(X0,sK5,X1,sK13(X5,sK5,X6,X7)))) = apply_on_structs(sK5,X2,the_mapping(X2,sK5),sK14(X3,sK5,X4,sK13(X0,sK5,X1,sK13(X5,sK5,X6,X7))))
| sP2(X3,sK5,X4)
| empty_carrier(X2)
| ~ element(X7,the_carrier(sK5))
| ~ sP0(X5,sK5,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_900])]) ).
fof(f2832,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ net_str(sK5,X2)
| ~ one_sorted_str(X2)
| apply_netmap(X2,sK5,sK14(X3,sK5,X4,sK13(X0,sK5,X1,sK13(X5,sK5,X6,X7)))) = apply_on_structs(sK5,X2,the_mapping(X2,sK5),sK14(X3,sK5,X4,sK13(X0,sK5,X1,sK13(X5,sK5,X6,X7))))
| sP2(X3,sK5,X4)
| empty_carrier(X2)
| ~ element(X7,the_carrier(sK5))
| ~ sP0(X5,sK5,X6) )
| ~ spl27_73
| ~ spl27_328 ),
inference(resolution,[],[f2803,f608]) ).
fof(f10454,plain,
( spl27_899
| ~ spl27_35
| ~ spl27_888 ),
inference(avatar_split_clause,[],[f10237,f10137,f396,f10452]) ).
fof(f10452,plain,
( spl27_899
<=> ! [X2,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(sK10(sK6),X1,X2)
| ~ in(sK7,apply_netmap(X2,X1,sK13(sK10(sK6),X1,X2,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_899])]) ).
fof(f10137,plain,
( spl27_888
<=> ! [X2,X0,X1] :
( ~ element(X0,the_carrier(X1))
| in(apply_netmap(X2,X1,sK13(sK10(sK6),X1,X2,X0)),sK7)
| ~ sP0(sK10(sK6),X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_888])]) ).
fof(f10237,plain,
( ! [X2,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(sK10(sK6),X1,X2)
| ~ in(sK7,apply_netmap(X2,X1,sK13(sK10(sK6),X1,X2,X0))) )
| ~ spl27_35
| ~ spl27_888 ),
inference(resolution,[],[f10138,f397]) ).
fof(f10138,plain,
( ! [X2,X0,X1] :
( in(apply_netmap(X2,X1,sK13(sK10(sK6),X1,X2,X0)),sK7)
| ~ element(X0,the_carrier(X1))
| ~ sP0(sK10(sK6),X1,X2) )
| ~ spl27_888 ),
inference(avatar_component_clause,[],[f10137]) ).
fof(f10450,plain,
( spl27_898
| ~ spl27_75
| ~ spl27_327 ),
inference(avatar_split_clause,[],[f2787,f2762,f615,f10448]) ).
fof(f10448,plain,
( spl27_898
<=> ! [X3,X4,X0,X5,X2,X1] :
( apply_netmap(X0,X1,apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,sK14(X3,sK5,X4,X5)))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,sK14(X3,sK5,X4,X5))))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(sK4,sK5,sK12(the_carrier(X1),sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X1),sK5,X2))
| sP2(X3,sK5,X4)
| ~ element(X5,the_carrier(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_898])]) ).
fof(f2787,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( apply_netmap(X0,X1,apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,sK14(X3,sK5,X4,X5)))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,sK14(X3,sK5,X4,X5))))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(sK4,sK5,sK12(the_carrier(X1),sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X1),sK5,X2))
| sP2(X3,sK5,X4)
| ~ element(X5,the_carrier(sK5)) )
| ~ spl27_75
| ~ spl27_327 ),
inference(resolution,[],[f2763,f616]) ).
fof(f10446,plain,
( spl27_897
| ~ spl27_73
| ~ spl27_327 ),
inference(avatar_split_clause,[],[f2786,f2762,f607,f10444]) ).
fof(f10444,plain,
( spl27_897
<=> ! [X3,X4,X0,X5,X2,X1] :
( apply_netmap(X0,X1,apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,sK13(X3,sK5,X4,X5)))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,sK13(X3,sK5,X4,X5))))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(sK4,sK5,sK12(the_carrier(X1),sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X1),sK5,X2))
| ~ element(X5,the_carrier(sK5))
| ~ sP0(X3,sK5,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_897])]) ).
fof(f2786,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( apply_netmap(X0,X1,apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,sK13(X3,sK5,X4,X5)))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,sK13(X3,sK5,X4,X5))))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(sK4,sK5,sK12(the_carrier(X1),sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X1),sK5,X2))
| ~ element(X5,the_carrier(sK5))
| ~ sP0(X3,sK5,X4) )
| ~ spl27_73
| ~ spl27_327 ),
inference(resolution,[],[f2763,f608]) ).
fof(f10442,plain,
( spl27_896
| ~ spl27_235
| ~ spl27_279 ),
inference(avatar_split_clause,[],[f2247,f2232,f1793,f10440]) ).
fof(f10440,plain,
( spl27_896
<=> ! [X5,X4,X0,X3,X2,X1] :
( sP2(X2,sK5,X3)
| apply_netmap(sK4,sK5,sK14(X2,sK5,X3,sK12(the_carrier(X0),sK5,X1))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X2,sK5,X3,sK12(the_carrier(X0),sK5,X1)))
| ~ element(X4,the_carrier(sK5))
| apply_netmap(X5,X0,apply_netmap(X1,sK5,sK13(the_carrier(X0),sK5,X1,X4))) = apply_on_structs(X0,X5,the_mapping(X5,X0),apply_netmap(X1,sK5,sK13(the_carrier(X0),sK5,X1,X4)))
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5)
| empty_carrier(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_896])]) ).
fof(f1793,plain,
( spl27_235
<=> ! [X4,X0,X3,X2,X1] :
( ~ sP0(the_carrier(X0),X1,X2)
| ~ element(X3,the_carrier(X1))
| apply_netmap(X4,X0,apply_netmap(X2,X1,sK13(the_carrier(X0),X1,X2,X3))) = apply_on_structs(X0,X4,the_mapping(X4,X0),apply_netmap(X2,X1,sK13(the_carrier(X0),X1,X2,X3)))
| ~ net_str(X0,X4)
| empty_carrier(X0)
| ~ one_sorted_str(X4)
| empty_carrier(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_235])]) ).
fof(f2247,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( sP2(X2,sK5,X3)
| apply_netmap(sK4,sK5,sK14(X2,sK5,X3,sK12(the_carrier(X0),sK5,X1))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X2,sK5,X3,sK12(the_carrier(X0),sK5,X1)))
| ~ element(X4,the_carrier(sK5))
| apply_netmap(X5,X0,apply_netmap(X1,sK5,sK13(the_carrier(X0),sK5,X1,X4))) = apply_on_structs(X0,X5,the_mapping(X5,X0),apply_netmap(X1,sK5,sK13(the_carrier(X0),sK5,X1,X4)))
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5)
| empty_carrier(X5) )
| ~ spl27_235
| ~ spl27_279 ),
inference(resolution,[],[f2233,f1794]) ).
fof(f1794,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sP0(the_carrier(X0),X1,X2)
| ~ element(X3,the_carrier(X1))
| apply_netmap(X4,X0,apply_netmap(X2,X1,sK13(the_carrier(X0),X1,X2,X3))) = apply_on_structs(X0,X4,the_mapping(X4,X0),apply_netmap(X2,X1,sK13(the_carrier(X0),X1,X2,X3)))
| ~ net_str(X0,X4)
| empty_carrier(X0)
| ~ one_sorted_str(X4)
| empty_carrier(X4) )
| ~ spl27_235 ),
inference(avatar_component_clause,[],[f1793]) ).
fof(f10167,plain,
( spl27_895
| ~ spl27_104
| ~ spl27_305 ),
inference(avatar_split_clause,[],[f2553,f2532,f810,f10165]) ).
fof(f10165,plain,
( spl27_895
<=> ! [X0] :
( empty(sK17(powerset(X0)))
| empty(sK17(powerset(sK17(powerset(X0)))))
| element(sK17(sK17(powerset(sK17(powerset(X0))))),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_895])]) ).
fof(f810,plain,
( spl27_104
<=> ! [X0,X1] :
( element(X0,X1)
| ~ in(X0,sK17(powerset(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_104])]) ).
fof(f2553,plain,
( ! [X0] :
( empty(sK17(powerset(X0)))
| empty(sK17(powerset(sK17(powerset(X0)))))
| element(sK17(sK17(powerset(sK17(powerset(X0))))),X0) )
| ~ spl27_104
| ~ spl27_305 ),
inference(resolution,[],[f2533,f811]) ).
fof(f811,plain,
( ! [X0,X1] :
( ~ in(X0,sK17(powerset(X1)))
| element(X0,X1) )
| ~ spl27_104 ),
inference(avatar_component_clause,[],[f810]) ).
fof(f10163,plain,
( spl27_894
| ~ spl27_171
| ~ spl27_295 ),
inference(avatar_split_clause,[],[f2435,f2374,f1279,f10161]) ).
fof(f10161,plain,
( spl27_894
<=> ! [X0,X1] :
( empty(sK10(sK20(X0,X1)))
| empty(sK20(X0,X1))
| element(sK17(sK10(sK20(X0,X1))),cartesian_product2(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_894])]) ).
fof(f2435,plain,
( ! [X0,X1] :
( empty(sK10(sK20(X0,X1)))
| empty(sK20(X0,X1))
| element(sK17(sK10(sK20(X0,X1))),cartesian_product2(X0,X1)) )
| ~ spl27_171
| ~ spl27_295 ),
inference(resolution,[],[f2375,f1280]) ).
fof(f10159,plain,
( spl27_893
| ~ spl27_172
| ~ spl27_295 ),
inference(avatar_split_clause,[],[f2433,f2374,f1283,f10157]) ).
fof(f10157,plain,
( spl27_893
<=> ! [X0,X1] :
( empty(sK10(sK19(X0,X1)))
| empty(sK19(X0,X1))
| element(sK17(sK10(sK19(X0,X1))),cartesian_product2(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_893])]) ).
fof(f2433,plain,
( ! [X0,X1] :
( empty(sK10(sK19(X0,X1)))
| empty(sK19(X0,X1))
| element(sK17(sK10(sK19(X0,X1))),cartesian_product2(X0,X1)) )
| ~ spl27_172
| ~ spl27_295 ),
inference(resolution,[],[f2375,f1284]) ).
fof(f10155,plain,
( spl27_892
| ~ spl27_122
| ~ spl27_295 ),
inference(avatar_split_clause,[],[f2430,f2374,f915,f10153]) ).
fof(f10153,plain,
( spl27_892
<=> ! [X0] :
( empty(sK10(sK16(X0)))
| empty(sK16(X0))
| element(sK17(sK10(sK16(X0))),the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_892])]) ).
fof(f2430,plain,
( ! [X0] :
( empty(sK10(sK16(X0)))
| empty(sK16(X0))
| element(sK17(sK10(sK16(X0))),the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) )
| ~ spl27_122
| ~ spl27_295 ),
inference(resolution,[],[f2375,f916]) ).
fof(f10151,plain,
( spl27_891
| ~ spl27_171
| ~ spl27_294 ),
inference(avatar_split_clause,[],[f2418,f2370,f1279,f10149]) ).
fof(f10149,plain,
( spl27_891
<=> ! [X0,X1] :
( empty(sK9(sK20(X0,X1)))
| empty(sK20(X0,X1))
| element(sK17(sK9(sK20(X0,X1))),cartesian_product2(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_891])]) ).
fof(f2418,plain,
( ! [X0,X1] :
( empty(sK9(sK20(X0,X1)))
| empty(sK20(X0,X1))
| element(sK17(sK9(sK20(X0,X1))),cartesian_product2(X0,X1)) )
| ~ spl27_171
| ~ spl27_294 ),
inference(resolution,[],[f2371,f1280]) ).
fof(f10147,plain,
( spl27_890
| ~ spl27_172
| ~ spl27_294 ),
inference(avatar_split_clause,[],[f2416,f2370,f1283,f10145]) ).
fof(f10145,plain,
( spl27_890
<=> ! [X0,X1] :
( empty(sK9(sK19(X0,X1)))
| empty(sK19(X0,X1))
| element(sK17(sK9(sK19(X0,X1))),cartesian_product2(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_890])]) ).
fof(f2416,plain,
( ! [X0,X1] :
( empty(sK9(sK19(X0,X1)))
| empty(sK19(X0,X1))
| element(sK17(sK9(sK19(X0,X1))),cartesian_product2(X0,X1)) )
| ~ spl27_172
| ~ spl27_294 ),
inference(resolution,[],[f2371,f1284]) ).
fof(f10143,plain,
( spl27_889
| ~ spl27_122
| ~ spl27_294 ),
inference(avatar_split_clause,[],[f2413,f2370,f915,f10141]) ).
fof(f10141,plain,
( spl27_889
<=> ! [X0] :
( empty(sK9(sK16(X0)))
| empty(sK16(X0))
| element(sK17(sK9(sK16(X0))),the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_889])]) ).
fof(f2413,plain,
( ! [X0] :
( empty(sK9(sK16(X0)))
| empty(sK16(X0))
| element(sK17(sK9(sK16(X0))),the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) )
| ~ spl27_122
| ~ spl27_294 ),
inference(resolution,[],[f2371,f916]) ).
fof(f10139,plain,
( spl27_123
| spl27_888
| ~ spl27_50
| ~ spl27_664 ),
inference(avatar_split_clause,[],[f6783,f6780,f465,f10137,f922]) ).
fof(f465,plain,
( spl27_50
<=> ! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_50])]) ).
fof(f6780,plain,
( spl27_664
<=> ! [X2,X0,X1] :
( ~ element(X0,the_carrier(X1))
| element(apply_netmap(X2,X1,sK13(sK10(sK6),X1,X2,X0)),sK7)
| ~ sP0(sK10(sK6),X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_664])]) ).
fof(f6783,plain,
( ! [X2,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(sK10(sK6),X1,X2)
| empty(sK7)
| in(apply_netmap(X2,X1,sK13(sK10(sK6),X1,X2,X0)),sK7) )
| ~ spl27_50
| ~ spl27_664 ),
inference(resolution,[],[f6781,f466]) ).
fof(f466,plain,
( ! [X0,X1] :
( ~ element(X0,X1)
| empty(X1)
| in(X0,X1) )
| ~ spl27_50 ),
inference(avatar_component_clause,[],[f465]) ).
fof(f6781,plain,
( ! [X2,X0,X1] :
( element(apply_netmap(X2,X1,sK13(sK10(sK6),X1,X2,X0)),sK7)
| ~ element(X0,the_carrier(X1))
| ~ sP0(sK10(sK6),X1,X2) )
| ~ spl27_664 ),
inference(avatar_component_clause,[],[f6780]) ).
fof(f10135,plain,
( spl27_887
| ~ spl27_171
| ~ spl27_281 ),
inference(avatar_split_clause,[],[f2401,f2257,f1279,f10133]) ).
fof(f10133,plain,
( spl27_887
<=> ! [X0,X1] :
( empty(sK8(sK20(X0,X1)))
| empty(sK20(X0,X1))
| element(sK17(sK8(sK20(X0,X1))),cartesian_product2(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_887])]) ).
fof(f2401,plain,
( ! [X0,X1] :
( empty(sK8(sK20(X0,X1)))
| empty(sK20(X0,X1))
| element(sK17(sK8(sK20(X0,X1))),cartesian_product2(X0,X1)) )
| ~ spl27_171
| ~ spl27_281 ),
inference(resolution,[],[f2258,f1280]) ).
fof(f10131,plain,
( spl27_886
| ~ spl27_172
| ~ spl27_281 ),
inference(avatar_split_clause,[],[f2399,f2257,f1283,f10129]) ).
fof(f10129,plain,
( spl27_886
<=> ! [X0,X1] :
( empty(sK8(sK19(X0,X1)))
| empty(sK19(X0,X1))
| element(sK17(sK8(sK19(X0,X1))),cartesian_product2(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_886])]) ).
fof(f2399,plain,
( ! [X0,X1] :
( empty(sK8(sK19(X0,X1)))
| empty(sK19(X0,X1))
| element(sK17(sK8(sK19(X0,X1))),cartesian_product2(X0,X1)) )
| ~ spl27_172
| ~ spl27_281 ),
inference(resolution,[],[f2258,f1284]) ).
fof(f10127,plain,
( spl27_885
| ~ spl27_122
| ~ spl27_281 ),
inference(avatar_split_clause,[],[f2396,f2257,f915,f10125]) ).
fof(f10125,plain,
( spl27_885
<=> ! [X0] :
( empty(sK8(sK16(X0)))
| empty(sK16(X0))
| element(sK17(sK8(sK16(X0))),the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_885])]) ).
fof(f2396,plain,
( ! [X0] :
( empty(sK8(sK16(X0)))
| empty(sK16(X0))
| element(sK17(sK8(sK16(X0))),the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) )
| ~ spl27_122
| ~ spl27_281 ),
inference(resolution,[],[f2258,f916]) ).
fof(f10122,plain,
( spl27_292
| spl27_884
| ~ spl27_163
| ~ spl27_330 ),
inference(avatar_split_clause,[],[f2880,f2848,f1242,f10120,f2354]) ).
fof(f10120,plain,
( spl27_884
<=> ! [X0,X3,X2,X1] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| empty_carrier(X3)
| ~ one_sorted_str(X3)
| apply_netmap(X3,X2,apply_netmap(X2,sK5,sK13(X0,sK5,X1,sK17(sK17(powerset(the_carrier(sK5))))))) = apply_on_structs(X2,X3,the_mapping(X3,X2),apply_netmap(X2,sK5,sK13(X0,sK5,X1,sK17(sK17(powerset(the_carrier(sK5)))))))
| ~ net_str(X2,X3)
| ~ net_str(sK5,X2)
| ~ one_sorted_str(X2)
| empty_carrier(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_884])]) ).
fof(f2880,plain,
( ! [X2,X3,X0,X1] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ net_str(X2,X3)
| empty_carrier(X2)
| ~ one_sorted_str(X2)
| ~ net_str(sK5,X2)
| apply_netmap(X3,X2,apply_netmap(X2,sK5,sK13(X0,sK5,X1,sK17(sK17(powerset(the_carrier(sK5))))))) = apply_on_structs(X2,X3,the_mapping(X3,X2),apply_netmap(X2,sK5,sK13(X0,sK5,X1,sK17(sK17(powerset(the_carrier(sK5)))))))
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| empty(sK17(powerset(the_carrier(sK5)))) )
| ~ spl27_163
| ~ spl27_330 ),
inference(resolution,[],[f2849,f1243]) ).
fof(f10117,plain,
( spl27_686
| spl27_290
| spl27_883
| ~ spl27_166
| ~ spl27_330 ),
inference(avatar_split_clause,[],[f2879,f2848,f1254,f10115,f2337,f6939]) ).
fof(f10115,plain,
( spl27_883
<=> ! [X0,X3,X2,X1] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| empty_carrier(X3)
| ~ one_sorted_str(X3)
| apply_netmap(X3,X2,apply_netmap(X2,sK5,sK13(X0,sK5,X1,sK17(sK10(the_carrier(sK5)))))) = apply_on_structs(X2,X3,the_mapping(X3,X2),apply_netmap(X2,sK5,sK13(X0,sK5,X1,sK17(sK10(the_carrier(sK5))))))
| ~ net_str(X2,X3)
| ~ net_str(sK5,X2)
| ~ one_sorted_str(X2)
| empty_carrier(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_883])]) ).
fof(f2879,plain,
( ! [X2,X3,X0,X1] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ net_str(X2,X3)
| empty_carrier(X2)
| ~ one_sorted_str(X2)
| ~ net_str(sK5,X2)
| apply_netmap(X3,X2,apply_netmap(X2,sK5,sK13(X0,sK5,X1,sK17(sK10(the_carrier(sK5)))))) = apply_on_structs(X2,X3,the_mapping(X3,X2),apply_netmap(X2,sK5,sK13(X0,sK5,X1,sK17(sK10(the_carrier(sK5))))))
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| empty(the_carrier(sK5))
| empty(sK10(the_carrier(sK5))) )
| ~ spl27_166
| ~ spl27_330 ),
inference(resolution,[],[f2849,f1255]) ).
fof(f10112,plain,
( spl27_679
| spl27_290
| spl27_882
| ~ spl27_165
| ~ spl27_330 ),
inference(avatar_split_clause,[],[f2878,f2848,f1250,f10110,f2337,f6880]) ).
fof(f10110,plain,
( spl27_882
<=> ! [X0,X3,X2,X1] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| empty_carrier(X3)
| ~ one_sorted_str(X3)
| apply_netmap(X3,X2,apply_netmap(X2,sK5,sK13(X0,sK5,X1,sK17(sK9(the_carrier(sK5)))))) = apply_on_structs(X2,X3,the_mapping(X3,X2),apply_netmap(X2,sK5,sK13(X0,sK5,X1,sK17(sK9(the_carrier(sK5))))))
| ~ net_str(X2,X3)
| ~ net_str(sK5,X2)
| ~ one_sorted_str(X2)
| empty_carrier(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_882])]) ).
fof(f2878,plain,
( ! [X2,X3,X0,X1] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ net_str(X2,X3)
| empty_carrier(X2)
| ~ one_sorted_str(X2)
| ~ net_str(sK5,X2)
| apply_netmap(X3,X2,apply_netmap(X2,sK5,sK13(X0,sK5,X1,sK17(sK9(the_carrier(sK5)))))) = apply_on_structs(X2,X3,the_mapping(X3,X2),apply_netmap(X2,sK5,sK13(X0,sK5,X1,sK17(sK9(the_carrier(sK5))))))
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| empty(the_carrier(sK5))
| empty(sK9(the_carrier(sK5))) )
| ~ spl27_165
| ~ spl27_330 ),
inference(resolution,[],[f2849,f1251]) ).
fof(f10107,plain,
( spl27_289
| spl27_290
| spl27_881
| ~ spl27_164
| ~ spl27_330 ),
inference(avatar_split_clause,[],[f2877,f2848,f1246,f10105,f2337,f2333]) ).
fof(f10105,plain,
( spl27_881
<=> ! [X0,X3,X2,X1] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| empty_carrier(X3)
| ~ one_sorted_str(X3)
| apply_netmap(X3,X2,apply_netmap(X2,sK5,sK13(X0,sK5,X1,sK17(sK8(the_carrier(sK5)))))) = apply_on_structs(X2,X3,the_mapping(X3,X2),apply_netmap(X2,sK5,sK13(X0,sK5,X1,sK17(sK8(the_carrier(sK5))))))
| ~ net_str(X2,X3)
| ~ net_str(sK5,X2)
| ~ one_sorted_str(X2)
| empty_carrier(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_881])]) ).
fof(f2877,plain,
( ! [X2,X3,X0,X1] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ net_str(X2,X3)
| empty_carrier(X2)
| ~ one_sorted_str(X2)
| ~ net_str(sK5,X2)
| apply_netmap(X3,X2,apply_netmap(X2,sK5,sK13(X0,sK5,X1,sK17(sK8(the_carrier(sK5)))))) = apply_on_structs(X2,X3,the_mapping(X3,X2),apply_netmap(X2,sK5,sK13(X0,sK5,X1,sK17(sK8(the_carrier(sK5))))))
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| empty(the_carrier(sK5))
| empty(sK8(the_carrier(sK5))) )
| ~ spl27_164
| ~ spl27_330 ),
inference(resolution,[],[f2849,f1247]) ).
fof(f10095,plain,
( spl27_1
| spl27_880
| ~ spl27_304
| ~ spl27_515 ),
inference(avatar_split_clause,[],[f5520,f5472,f2480,f10093,f234]) ).
fof(f10093,plain,
( spl27_880
<=> ! [X0,X3,X2,X1] :
( ~ one_sorted_str(X0)
| ~ one_sorted_str(X3)
| ~ net_str(sK4,X3)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X3)
| ~ net_str(X3,X2)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X1)
| empty_carrier(X2)
| ~ net_str(X2,X1)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X2,X3,apply_netmap(X3,sK4,apply_netmap(sK4,sK5,sK17(the_carrier(sK5))))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X2,X3,apply_netmap(X3,sK4,apply_netmap(sK4,sK5,sK17(the_carrier(sK5)))))))
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_880])]) ).
fof(f2480,plain,
( spl27_304
<=> element(apply_netmap(sK4,sK5,sK17(the_carrier(sK5))),the_carrier(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_304])]) ).
fof(f5472,plain,
( spl27_515
<=> ! [X2,X3,X4,X0,X5,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X3,X4,X5)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X3,X4,X5))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| ~ element(X5,the_carrier(X4))
| ~ net_str(X4,X3)
| empty_carrier(X4)
| ~ one_sorted_str(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_515])]) ).
fof(f5520,plain,
( ! [X2,X3,X0,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X2,X3,apply_netmap(X3,sK4,apply_netmap(sK4,sK5,sK17(the_carrier(sK5))))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X2,X3,apply_netmap(X3,sK4,apply_netmap(sK4,sK5,sK17(the_carrier(sK5)))))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| ~ net_str(X1,X0)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| empty_carrier(X1)
| ~ net_str(sK4,X3)
| empty_carrier(sK4)
| ~ one_sorted_str(X3) )
| ~ spl27_304
| ~ spl27_515 ),
inference(resolution,[],[f5473,f2482]) ).
fof(f2482,plain,
( element(apply_netmap(sK4,sK5,sK17(the_carrier(sK5))),the_carrier(sK4))
| ~ spl27_304 ),
inference(avatar_component_clause,[],[f2480]) ).
fof(f5473,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ element(X5,the_carrier(X4))
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X3,X4,X5)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X3,X4,X5))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| empty_carrier(X0)
| ~ net_str(X4,X3)
| empty_carrier(X4)
| ~ one_sorted_str(X3) )
| ~ spl27_515 ),
inference(avatar_component_clause,[],[f5472]) ).
fof(f10090,plain,
( spl27_292
| spl27_879
| ~ spl27_163
| ~ spl27_328 ),
inference(avatar_split_clause,[],[f2840,f2802,f1242,f10088,f2354]) ).
fof(f10088,plain,
( spl27_879
<=> ! [X4,X0,X3,X2,X1] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| empty_carrier(X2)
| sP2(X3,sK5,X4)
| apply_netmap(X2,sK5,sK14(X3,sK5,X4,sK13(X0,sK5,X1,sK17(sK17(powerset(the_carrier(sK5))))))) = apply_on_structs(sK5,X2,the_mapping(X2,sK5),sK14(X3,sK5,X4,sK13(X0,sK5,X1,sK17(sK17(powerset(the_carrier(sK5)))))))
| ~ net_str(sK5,X2)
| ~ one_sorted_str(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_879])]) ).
fof(f2840,plain,
( ! [X2,X3,X0,X1,X4] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ net_str(sK5,X2)
| ~ one_sorted_str(X2)
| apply_netmap(X2,sK5,sK14(X3,sK5,X4,sK13(X0,sK5,X1,sK17(sK17(powerset(the_carrier(sK5))))))) = apply_on_structs(sK5,X2,the_mapping(X2,sK5),sK14(X3,sK5,X4,sK13(X0,sK5,X1,sK17(sK17(powerset(the_carrier(sK5)))))))
| sP2(X3,sK5,X4)
| empty_carrier(X2)
| empty(sK17(powerset(the_carrier(sK5)))) )
| ~ spl27_163
| ~ spl27_328 ),
inference(resolution,[],[f2803,f1243]) ).
fof(f10085,plain,
( spl27_686
| spl27_290
| spl27_878
| ~ spl27_166
| ~ spl27_328 ),
inference(avatar_split_clause,[],[f2839,f2802,f1254,f10083,f2337,f6939]) ).
fof(f10083,plain,
( spl27_878
<=> ! [X4,X0,X3,X2,X1] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| empty_carrier(X2)
| sP2(X3,sK5,X4)
| apply_netmap(X2,sK5,sK14(X3,sK5,X4,sK13(X0,sK5,X1,sK17(sK10(the_carrier(sK5)))))) = apply_on_structs(sK5,X2,the_mapping(X2,sK5),sK14(X3,sK5,X4,sK13(X0,sK5,X1,sK17(sK10(the_carrier(sK5))))))
| ~ net_str(sK5,X2)
| ~ one_sorted_str(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_878])]) ).
fof(f2839,plain,
( ! [X2,X3,X0,X1,X4] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ net_str(sK5,X2)
| ~ one_sorted_str(X2)
| apply_netmap(X2,sK5,sK14(X3,sK5,X4,sK13(X0,sK5,X1,sK17(sK10(the_carrier(sK5)))))) = apply_on_structs(sK5,X2,the_mapping(X2,sK5),sK14(X3,sK5,X4,sK13(X0,sK5,X1,sK17(sK10(the_carrier(sK5))))))
| sP2(X3,sK5,X4)
| empty_carrier(X2)
| empty(the_carrier(sK5))
| empty(sK10(the_carrier(sK5))) )
| ~ spl27_166
| ~ spl27_328 ),
inference(resolution,[],[f2803,f1255]) ).
fof(f10080,plain,
( spl27_679
| spl27_290
| spl27_877
| ~ spl27_165
| ~ spl27_328 ),
inference(avatar_split_clause,[],[f2838,f2802,f1250,f10078,f2337,f6880]) ).
fof(f10078,plain,
( spl27_877
<=> ! [X4,X0,X3,X2,X1] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| empty_carrier(X2)
| sP2(X3,sK5,X4)
| apply_netmap(X2,sK5,sK14(X3,sK5,X4,sK13(X0,sK5,X1,sK17(sK9(the_carrier(sK5)))))) = apply_on_structs(sK5,X2,the_mapping(X2,sK5),sK14(X3,sK5,X4,sK13(X0,sK5,X1,sK17(sK9(the_carrier(sK5))))))
| ~ net_str(sK5,X2)
| ~ one_sorted_str(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_877])]) ).
fof(f2838,plain,
( ! [X2,X3,X0,X1,X4] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ net_str(sK5,X2)
| ~ one_sorted_str(X2)
| apply_netmap(X2,sK5,sK14(X3,sK5,X4,sK13(X0,sK5,X1,sK17(sK9(the_carrier(sK5)))))) = apply_on_structs(sK5,X2,the_mapping(X2,sK5),sK14(X3,sK5,X4,sK13(X0,sK5,X1,sK17(sK9(the_carrier(sK5))))))
| sP2(X3,sK5,X4)
| empty_carrier(X2)
| empty(the_carrier(sK5))
| empty(sK9(the_carrier(sK5))) )
| ~ spl27_165
| ~ spl27_328 ),
inference(resolution,[],[f2803,f1251]) ).
fof(f10076,plain,
( spl27_876
| ~ spl27_35
| ~ spl27_866 ),
inference(avatar_split_clause,[],[f10038,f9913,f396,f10074]) ).
fof(f10074,plain,
( spl27_876
<=> ! [X2,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(sK9(sK6),X1,X2)
| ~ in(sK7,apply_netmap(X2,X1,sK13(sK9(sK6),X1,X2,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_876])]) ).
fof(f9913,plain,
( spl27_866
<=> ! [X2,X0,X1] :
( ~ element(X0,the_carrier(X1))
| in(apply_netmap(X2,X1,sK13(sK9(sK6),X1,X2,X0)),sK7)
| ~ sP0(sK9(sK6),X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_866])]) ).
fof(f10038,plain,
( ! [X2,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(sK9(sK6),X1,X2)
| ~ in(sK7,apply_netmap(X2,X1,sK13(sK9(sK6),X1,X2,X0))) )
| ~ spl27_35
| ~ spl27_866 ),
inference(resolution,[],[f9914,f397]) ).
fof(f9914,plain,
( ! [X2,X0,X1] :
( in(apply_netmap(X2,X1,sK13(sK9(sK6),X1,X2,X0)),sK7)
| ~ element(X0,the_carrier(X1))
| ~ sP0(sK9(sK6),X1,X2) )
| ~ spl27_866 ),
inference(avatar_component_clause,[],[f9913]) ).
fof(f10071,plain,
( spl27_289
| spl27_290
| spl27_875
| ~ spl27_164
| ~ spl27_328 ),
inference(avatar_split_clause,[],[f2837,f2802,f1246,f10069,f2337,f2333]) ).
fof(f10069,plain,
( spl27_875
<=> ! [X4,X0,X3,X2,X1] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| empty_carrier(X2)
| sP2(X3,sK5,X4)
| apply_netmap(X2,sK5,sK14(X3,sK5,X4,sK13(X0,sK5,X1,sK17(sK8(the_carrier(sK5)))))) = apply_on_structs(sK5,X2,the_mapping(X2,sK5),sK14(X3,sK5,X4,sK13(X0,sK5,X1,sK17(sK8(the_carrier(sK5))))))
| ~ net_str(sK5,X2)
| ~ one_sorted_str(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_875])]) ).
fof(f2837,plain,
( ! [X2,X3,X0,X1,X4] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ net_str(sK5,X2)
| ~ one_sorted_str(X2)
| apply_netmap(X2,sK5,sK14(X3,sK5,X4,sK13(X0,sK5,X1,sK17(sK8(the_carrier(sK5)))))) = apply_on_structs(sK5,X2,the_mapping(X2,sK5),sK14(X3,sK5,X4,sK13(X0,sK5,X1,sK17(sK8(the_carrier(sK5))))))
| sP2(X3,sK5,X4)
| empty_carrier(X2)
| empty(the_carrier(sK5))
| empty(sK8(the_carrier(sK5))) )
| ~ spl27_164
| ~ spl27_328 ),
inference(resolution,[],[f2803,f1247]) ).
fof(f10064,plain,
( spl27_292
| spl27_874
| ~ spl27_163
| ~ spl27_327 ),
inference(avatar_split_clause,[],[f2794,f2762,f1242,f10062,f2354]) ).
fof(f10062,plain,
( spl27_874
<=> ! [X2,X0,X1] :
( apply_netmap(X0,X1,apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,sK17(sK17(powerset(the_carrier(sK5))))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,sK17(sK17(powerset(the_carrier(sK5)))))))
| apply_netmap(sK4,sK5,sK12(the_carrier(X1),sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X1),sK5,X2))
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty_carrier(X1)
| ~ net_str(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_874])]) ).
fof(f2794,plain,
( ! [X2,X0,X1] :
( apply_netmap(X0,X1,apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,sK17(sK17(powerset(the_carrier(sK5))))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,sK17(sK17(powerset(the_carrier(sK5)))))))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(sK4,sK5,sK12(the_carrier(X1),sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X1),sK5,X2))
| empty(sK17(powerset(the_carrier(sK5)))) )
| ~ spl27_163
| ~ spl27_327 ),
inference(resolution,[],[f2763,f1243]) ).
fof(f10057,plain,
( spl27_686
| spl27_290
| spl27_873
| ~ spl27_166
| ~ spl27_327 ),
inference(avatar_split_clause,[],[f2793,f2762,f1254,f10055,f2337,f6939]) ).
fof(f10055,plain,
( spl27_873
<=> ! [X2,X0,X1] :
( apply_netmap(X0,X1,apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,sK17(sK10(the_carrier(sK5)))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,sK17(sK10(the_carrier(sK5))))))
| apply_netmap(sK4,sK5,sK12(the_carrier(X1),sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X1),sK5,X2))
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty_carrier(X1)
| ~ net_str(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_873])]) ).
fof(f2793,plain,
( ! [X2,X0,X1] :
( apply_netmap(X0,X1,apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,sK17(sK10(the_carrier(sK5)))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,sK17(sK10(the_carrier(sK5))))))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(sK4,sK5,sK12(the_carrier(X1),sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X1),sK5,X2))
| empty(the_carrier(sK5))
| empty(sK10(the_carrier(sK5))) )
| ~ spl27_166
| ~ spl27_327 ),
inference(resolution,[],[f2763,f1255]) ).
fof(f10050,plain,
( spl27_679
| spl27_290
| spl27_872
| ~ spl27_165
| ~ spl27_327 ),
inference(avatar_split_clause,[],[f2792,f2762,f1250,f10048,f2337,f6880]) ).
fof(f10048,plain,
( spl27_872
<=> ! [X2,X0,X1] :
( apply_netmap(X0,X1,apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,sK17(sK9(the_carrier(sK5)))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,sK17(sK9(the_carrier(sK5))))))
| apply_netmap(sK4,sK5,sK12(the_carrier(X1),sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X1),sK5,X2))
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty_carrier(X1)
| ~ net_str(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_872])]) ).
fof(f2792,plain,
( ! [X2,X0,X1] :
( apply_netmap(X0,X1,apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,sK17(sK9(the_carrier(sK5)))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,sK17(sK9(the_carrier(sK5))))))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(sK4,sK5,sK12(the_carrier(X1),sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X1),sK5,X2))
| empty(the_carrier(sK5))
| empty(sK9(the_carrier(sK5))) )
| ~ spl27_165
| ~ spl27_327 ),
inference(resolution,[],[f2763,f1251]) ).
fof(f10043,plain,
( spl27_289
| spl27_290
| spl27_871
| ~ spl27_164
| ~ spl27_327 ),
inference(avatar_split_clause,[],[f2791,f2762,f1246,f10041,f2337,f2333]) ).
fof(f10041,plain,
( spl27_871
<=> ! [X2,X0,X1] :
( apply_netmap(X0,X1,apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,sK17(sK8(the_carrier(sK5)))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,sK17(sK8(the_carrier(sK5))))))
| apply_netmap(sK4,sK5,sK12(the_carrier(X1),sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X1),sK5,X2))
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty_carrier(X1)
| ~ net_str(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_871])]) ).
fof(f2791,plain,
( ! [X2,X0,X1] :
( apply_netmap(X0,X1,apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,sK17(sK8(the_carrier(sK5)))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,sK17(sK8(the_carrier(sK5))))))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(sK4,sK5,sK12(the_carrier(X1),sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X1),sK5,X2))
| empty(the_carrier(sK5))
| empty(sK8(the_carrier(sK5))) )
| ~ spl27_164
| ~ spl27_327 ),
inference(resolution,[],[f2763,f1247]) ).
fof(f10034,plain,
( spl27_870
| ~ spl27_130
| ~ spl27_308 ),
inference(avatar_split_clause,[],[f2578,f2565,f968,f10032]) ).
fof(f10032,plain,
( spl27_870
<=> ! [X3,X4,X0,X5,X2,X1] :
( apply_netmap(X0,sK5,sK13(X1,sK5,X2,apply_netmap(X3,X4,sK13(the_carrier(sK5),X4,X3,X5)))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(X1,sK5,X2,apply_netmap(X3,X4,sK13(the_carrier(sK5),X4,X3,X5))))
| apply_netmap(sK4,sK5,sK12(X1,sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X1,sK5,X2))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ sP0(the_carrier(sK5),X4,X3)
| ~ element(X5,the_carrier(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_870])]) ).
fof(f2578,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( apply_netmap(X0,sK5,sK13(X1,sK5,X2,apply_netmap(X3,X4,sK13(the_carrier(sK5),X4,X3,X5)))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(X1,sK5,X2,apply_netmap(X3,X4,sK13(the_carrier(sK5),X4,X3,X5))))
| apply_netmap(sK4,sK5,sK12(X1,sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X1,sK5,X2))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ sP0(the_carrier(sK5),X4,X3)
| ~ element(X5,the_carrier(X4)) )
| ~ spl27_130
| ~ spl27_308 ),
inference(resolution,[],[f2566,f969]) ).
fof(f10029,plain,
( spl27_3
| spl27_869
| ~ spl27_226
| ~ spl27_279 ),
inference(avatar_split_clause,[],[f2236,f2232,f1699,f10027,f244]) ).
fof(f10027,plain,
( spl27_869
<=> ! [X3,X4,X0,X5,X2,X1] :
( sP0(X2,sK5,X3)
| ~ net_str(X4,X5)
| ~ one_sorted_str(X4)
| ~ net_str(sK5,X4)
| apply_netmap(X5,X4,apply_netmap(X4,sK5,sK15(X0,sK5,X1))) = apply_on_structs(X4,X5,the_mapping(X5,X4),apply_netmap(X4,sK5,sK15(X0,sK5,X1)))
| ~ one_sorted_str(X5)
| empty_carrier(X5)
| empty_carrier(X4)
| apply_netmap(sK4,sK5,sK14(X0,sK5,X1,sK12(X2,sK5,X3))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X0,sK5,X1,sK12(X2,sK5,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_869])]) ).
fof(f2236,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( sP0(X2,sK5,X3)
| apply_netmap(sK4,sK5,sK14(X0,sK5,X1,sK12(X2,sK5,X3))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X0,sK5,X1,sK12(X2,sK5,X3)))
| empty_carrier(X4)
| ~ one_sorted_str(X5)
| empty_carrier(X5)
| apply_netmap(X5,X4,apply_netmap(X4,sK5,sK15(X0,sK5,X1))) = apply_on_structs(X4,X5,the_mapping(X5,X4),apply_netmap(X4,sK5,sK15(X0,sK5,X1)))
| ~ net_str(sK5,X4)
| empty_carrier(sK5)
| ~ one_sorted_str(X4)
| ~ net_str(X4,X5) )
| ~ spl27_226
| ~ spl27_279 ),
inference(resolution,[],[f2233,f1700]) ).
fof(f9923,plain,
( spl27_1
| spl27_868
| ~ spl27_304
| ~ spl27_510 ),
inference(avatar_split_clause,[],[f5436,f5328,f2480,f9921,f234]) ).
fof(f9921,plain,
( spl27_868
<=> ! [X2,X4,X0,X3,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X1)
| sP2(X3,sK4,X4)
| ~ one_sorted_str(X2)
| ~ net_str(sK4,X2)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X1)
| empty_carrier(X2)
| ~ net_str(X2,X1)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X2,sK4,sK14(X3,sK4,X4,apply_netmap(sK4,sK5,sK17(the_carrier(sK5))))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X2,sK4,sK14(X3,sK4,X4,apply_netmap(sK4,sK5,sK17(the_carrier(sK5)))))))
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_868])]) ).
fof(f5328,plain,
( spl27_510
<=> ! [X5,X3,X4,X2,X0,X6,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,sK14(X4,X3,X5,X6)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,sK14(X4,X3,X5,X6))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| sP2(X4,X3,X5)
| ~ element(X6,the_carrier(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_510])]) ).
fof(f5436,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X2,sK4,sK14(X3,sK4,X4,apply_netmap(sK4,sK5,sK17(the_carrier(sK5))))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X2,sK4,sK14(X3,sK4,X4,apply_netmap(sK4,sK5,sK17(the_carrier(sK5)))))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| ~ net_str(X1,X0)
| ~ net_str(sK4,X2)
| empty_carrier(sK4)
| ~ one_sorted_str(X2)
| sP2(X3,sK4,X4)
| empty_carrier(X1) )
| ~ spl27_304
| ~ spl27_510 ),
inference(resolution,[],[f5329,f2482]) ).
fof(f5329,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ element(X6,the_carrier(X3))
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,sK14(X4,X3,X5,X6)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,sK14(X4,X3,X5,X6))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| sP2(X4,X3,X5)
| empty_carrier(X0) )
| ~ spl27_510 ),
inference(avatar_component_clause,[],[f5328]) ).
fof(f9919,plain,
( spl27_1
| spl27_867
| ~ spl27_304
| ~ spl27_508 ),
inference(avatar_split_clause,[],[f5391,f5320,f2480,f9917,f234]) ).
fof(f9917,plain,
( spl27_867
<=> ! [X4,X0,X3,X2,X1] :
( ~ one_sorted_str(X0)
| ~ one_sorted_str(X2)
| ~ net_str(sK4,X2)
| empty_carrier(X1)
| ~ net_str(X1,X0)
| sP2(X3,X2,X4)
| ~ one_sorted_str(X1)
| empty_carrier(X2)
| ~ net_str(X2,X1)
| apply_netmap(X0,X1,apply_netmap(X1,X2,sK14(X3,X2,X4,apply_netmap(X2,sK4,apply_netmap(sK4,sK5,sK17(the_carrier(sK5))))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,sK14(X3,X2,X4,apply_netmap(X2,sK4,apply_netmap(sK4,sK5,sK17(the_carrier(sK5)))))))
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_867])]) ).
fof(f5320,plain,
( spl27_508
<=> ! [X5,X3,X2,X0,X4,X6,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X2,X5,X6)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X2,X5,X6))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| ~ element(X6,the_carrier(X5))
| ~ net_str(X5,X2)
| empty_carrier(X5)
| ~ one_sorted_str(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_508])]) ).
fof(f5391,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,sK14(X3,X2,X4,apply_netmap(X2,sK4,apply_netmap(sK4,sK5,sK17(the_carrier(sK5))))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,sK14(X3,X2,X4,apply_netmap(X2,sK4,apply_netmap(sK4,sK5,sK17(the_carrier(sK5)))))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| sP2(X3,X2,X4)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ net_str(sK4,X2)
| empty_carrier(sK4)
| ~ one_sorted_str(X2) )
| ~ spl27_304
| ~ spl27_508 ),
inference(resolution,[],[f5321,f2482]) ).
fof(f5321,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ element(X6,the_carrier(X5))
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X2,X5,X6)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X2,X5,X6))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ net_str(X5,X2)
| empty_carrier(X5)
| ~ one_sorted_str(X2) )
| ~ spl27_508 ),
inference(avatar_component_clause,[],[f5320]) ).
fof(f9915,plain,
( spl27_123
| spl27_866
| ~ spl27_50
| ~ spl27_663 ),
inference(avatar_split_clause,[],[f6778,f6775,f465,f9913,f922]) ).
fof(f6775,plain,
( spl27_663
<=> ! [X2,X0,X1] :
( ~ element(X0,the_carrier(X1))
| element(apply_netmap(X2,X1,sK13(sK9(sK6),X1,X2,X0)),sK7)
| ~ sP0(sK9(sK6),X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_663])]) ).
fof(f6778,plain,
( ! [X2,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(sK9(sK6),X1,X2)
| empty(sK7)
| in(apply_netmap(X2,X1,sK13(sK9(sK6),X1,X2,X0)),sK7) )
| ~ spl27_50
| ~ spl27_663 ),
inference(resolution,[],[f6776,f466]) ).
fof(f6776,plain,
( ! [X2,X0,X1] :
( element(apply_netmap(X2,X1,sK13(sK9(sK6),X1,X2,X0)),sK7)
| ~ element(X0,the_carrier(X1))
| ~ sP0(sK9(sK6),X1,X2) )
| ~ spl27_663 ),
inference(avatar_component_clause,[],[f6775]) ).
fof(f9911,plain,
( spl27_1
| spl27_865
| ~ spl27_304
| ~ spl27_507 ),
inference(avatar_split_clause,[],[f5351,f5316,f2480,f9909,f234]) ).
fof(f9909,plain,
( spl27_865
<=> ! [X4,X0,X3,X2,X1] :
( ~ one_sorted_str(X0)
| ~ one_sorted_str(X4)
| ~ net_str(sK4,X4)
| empty_carrier(X2)
| ~ one_sorted_str(X2)
| empty_carrier(X4)
| ~ net_str(X4,X2)
| ~ net_str(X2,X0)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X2,X4,apply_netmap(X4,sK4,apply_netmap(sK4,sK5,sK17(the_carrier(sK5))))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X2,X4,apply_netmap(X4,sK4,apply_netmap(sK4,sK5,sK17(the_carrier(sK5)))))))
| sP2(X1,X2,X3)
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_865])]) ).
fof(f5316,plain,
( spl27_507
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X4,X5,X6)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X4,X5,X6))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| ~ element(X6,the_carrier(X5))
| ~ net_str(X5,X4)
| empty_carrier(X5)
| ~ one_sorted_str(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_507])]) ).
fof(f5351,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X2,X4,apply_netmap(X4,sK4,apply_netmap(sK4,sK5,sK17(the_carrier(sK5))))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X2,X4,apply_netmap(X4,sK4,apply_netmap(sK4,sK5,sK17(the_carrier(sK5)))))))
| ~ net_str(X2,X0)
| ~ net_str(X4,X2)
| empty_carrier(X4)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| ~ net_str(sK4,X4)
| empty_carrier(sK4)
| ~ one_sorted_str(X4) )
| ~ spl27_304
| ~ spl27_507 ),
inference(resolution,[],[f5317,f2482]) ).
fof(f5317,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ element(X6,the_carrier(X5))
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X4,X5,X6)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X4,X5,X6))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ net_str(X5,X4)
| empty_carrier(X5)
| ~ one_sorted_str(X4) )
| ~ spl27_507 ),
inference(avatar_component_clause,[],[f5316]) ).
fof(f9907,plain,
( spl27_864
| ~ spl27_155
| ~ spl27_440 ),
inference(avatar_split_clause,[],[f4455,f4407,f1177,f9905]) ).
fof(f9905,plain,
( spl27_864
<=> ! [X0,X3,X2,X1] :
( ~ element(X0,the_carrier(sK5))
| apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(sK17(powerset(the_carrier(X2))),sK5,X3,X0))) = apply_on_structs(X2,X1,the_mapping(X1,X2),apply_netmap(X3,sK5,sK13(sK17(powerset(the_carrier(X2))),sK5,X3,X0)))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(sK4,sK5,sK12(sK17(powerset(the_carrier(X2))),sK5,X3)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK17(powerset(the_carrier(X2))),sK5,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_864])]) ).
fof(f4455,plain,
( ! [X2,X3,X0,X1] :
( ~ element(X0,the_carrier(sK5))
| apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(sK17(powerset(the_carrier(X2))),sK5,X3,X0))) = apply_on_structs(X2,X1,the_mapping(X1,X2),apply_netmap(X3,sK5,sK13(sK17(powerset(the_carrier(X2))),sK5,X3,X0)))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(sK4,sK5,sK12(sK17(powerset(the_carrier(X2))),sK5,X3)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK17(powerset(the_carrier(X2))),sK5,X3)) )
| ~ spl27_155
| ~ spl27_440 ),
inference(resolution,[],[f4408,f1178]) ).
fof(f9902,plain,
( spl27_275
| spl27_3
| ~ spl27_59
| spl27_863
| ~ spl27_174
| ~ spl27_330 ),
inference(avatar_split_clause,[],[f2875,f2848,f1340,f9900,f524,f244,f2202]) ).
fof(f9900,plain,
( spl27_863
<=> ! [X0,X3,X2,X1] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| empty_carrier(X3)
| ~ one_sorted_str(X3)
| apply_netmap(X3,X2,apply_netmap(X2,sK5,sK13(X0,sK5,X1,sK17(sK16(sK5))))) = apply_on_structs(X2,X3,the_mapping(X3,X2),apply_netmap(X2,sK5,sK13(X0,sK5,X1,sK17(sK16(sK5)))))
| ~ net_str(X2,X3)
| ~ net_str(sK5,X2)
| ~ one_sorted_str(X2)
| empty_carrier(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_863])]) ).
fof(f2875,plain,
( ! [X2,X3,X0,X1] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ net_str(X2,X3)
| empty_carrier(X2)
| ~ one_sorted_str(X2)
| ~ net_str(sK5,X2)
| apply_netmap(X3,X2,apply_netmap(X2,sK5,sK13(X0,sK5,X1,sK17(sK16(sK5))))) = apply_on_structs(X2,X3,the_mapping(X3,X2),apply_netmap(X2,sK5,sK13(X0,sK5,X1,sK17(sK16(sK5)))))
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| ~ one_sorted_str(sK5)
| empty_carrier(sK5)
| empty(sK16(sK5)) )
| ~ spl27_174
| ~ spl27_330 ),
inference(resolution,[],[f2849,f1341]) ).
fof(f9898,plain,
( spl27_862
| ~ spl27_279
| ~ spl27_297 ),
inference(avatar_split_clause,[],[f2491,f2443,f2232,f9896]) ).
fof(f9896,plain,
( spl27_862
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ element(X1,the_carrier(sK5))
| apply_netmap(X0,sK5,sK13(sK7,sK5,sK4,sK13(X2,sK5,X3,X1))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK7,sK5,sK4,sK13(X2,sK5,X3,X1)))
| sP2(X4,sK5,X5)
| apply_netmap(sK4,sK5,sK14(X4,sK5,X5,sK12(X2,sK5,X3))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X4,sK5,X5,sK12(X2,sK5,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_862])]) ).
fof(f2491,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ element(X1,the_carrier(sK5))
| apply_netmap(X0,sK5,sK13(sK7,sK5,sK4,sK13(X2,sK5,X3,X1))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK7,sK5,sK4,sK13(X2,sK5,X3,X1)))
| sP2(X4,sK5,X5)
| apply_netmap(sK4,sK5,sK14(X4,sK5,X5,sK12(X2,sK5,X3))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X4,sK5,X5,sK12(X2,sK5,X3))) )
| ~ spl27_279
| ~ spl27_297 ),
inference(resolution,[],[f2444,f2233]) ).
fof(f9893,plain,
( spl27_3
| spl27_861
| ~ spl27_224
| ~ spl27_279 ),
inference(avatar_split_clause,[],[f2237,f2232,f1687,f9891,f244]) ).
fof(f9891,plain,
( spl27_861
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( sP0(X2,sK5,X3)
| ~ net_str(sK5,X4)
| apply_netmap(X4,sK5,sK14(X5,sK5,X6,sK15(X0,sK5,X1))) = apply_on_structs(sK5,X4,the_mapping(X4,sK5),sK14(X5,sK5,X6,sK15(X0,sK5,X1)))
| sP2(X5,sK5,X6)
| ~ one_sorted_str(X4)
| empty_carrier(X4)
| apply_netmap(sK4,sK5,sK14(X0,sK5,X1,sK12(X2,sK5,X3))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X0,sK5,X1,sK12(X2,sK5,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_861])]) ).
fof(f1687,plain,
( spl27_224
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK15(X4,X0,X5))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK15(X4,X0,X5)))
| ~ sP2(X4,X0,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_224])]) ).
fof(f2237,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( sP0(X2,sK5,X3)
| apply_netmap(sK4,sK5,sK14(X0,sK5,X1,sK12(X2,sK5,X3))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X0,sK5,X1,sK12(X2,sK5,X3)))
| empty_carrier(sK5)
| ~ one_sorted_str(X4)
| empty_carrier(X4)
| sP2(X5,sK5,X6)
| apply_netmap(X4,sK5,sK14(X5,sK5,X6,sK15(X0,sK5,X1))) = apply_on_structs(sK5,X4,the_mapping(X4,sK5),sK14(X5,sK5,X6,sK15(X0,sK5,X1)))
| ~ net_str(sK5,X4) )
| ~ spl27_224
| ~ spl27_279 ),
inference(resolution,[],[f2233,f1688]) ).
fof(f1688,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sP2(X4,X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK15(X4,X0,X5))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK15(X4,X0,X5)))
| ~ net_str(X0,X1) )
| ~ spl27_224 ),
inference(avatar_component_clause,[],[f1687]) ).
fof(f9734,plain,
( spl27_860
| ~ spl27_23
| ~ spl27_342 ),
inference(avatar_split_clause,[],[f3084,f3041,f338,f9732]) ).
fof(f9732,plain,
( spl27_860
<=> ! [X0,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(the_carrier(X0))
| ~ net_str(X1,X0)
| sP2(the_carrier(X0),X1,X0)
| empty_carrier(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_860])]) ).
fof(f3041,plain,
( spl27_342
<=> ! [X2,X0,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| empty(the_carrier(X1))
| ~ net_str(X0,X1)
| sP2(the_carrier(X1),X0,X1)
| ~ element(X2,the_carrier(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_342])]) ).
fof(f3084,plain,
( ! [X0,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(the_carrier(X0))
| ~ net_str(X1,X0)
| sP2(the_carrier(X0),X1,X0)
| empty_carrier(X1) )
| ~ spl27_23
| ~ spl27_342 ),
inference(resolution,[],[f3042,f339]) ).
fof(f3042,plain,
( ! [X2,X0,X1] :
( ~ element(X2,the_carrier(X0))
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| empty(the_carrier(X1))
| ~ net_str(X0,X1)
| sP2(the_carrier(X1),X0,X1)
| empty_carrier(X0) )
| ~ spl27_342 ),
inference(avatar_component_clause,[],[f3041]) ).
fof(f9730,plain,
( spl27_859
| ~ spl27_110
| ~ spl27_305 ),
inference(avatar_split_clause,[],[f2551,f2532,f839,f9728]) ).
fof(f9728,plain,
( spl27_859
<=> ! [X0] :
( empty(sK10(X0))
| empty(sK17(powerset(sK10(X0))))
| element(sK17(sK17(powerset(sK10(X0)))),X0)
| empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_859])]) ).
fof(f2551,plain,
( ! [X0] :
( empty(sK10(X0))
| empty(sK17(powerset(sK10(X0))))
| element(sK17(sK17(powerset(sK10(X0)))),X0)
| empty(X0) )
| ~ spl27_110
| ~ spl27_305 ),
inference(resolution,[],[f2533,f840]) ).
fof(f9726,plain,
( spl27_858
| ~ spl27_109
| ~ spl27_305 ),
inference(avatar_split_clause,[],[f2550,f2532,f835,f9724]) ).
fof(f9724,plain,
( spl27_858
<=> ! [X0] :
( empty(sK9(X0))
| empty(sK17(powerset(sK9(X0))))
| element(sK17(sK17(powerset(sK9(X0)))),X0)
| empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_858])]) ).
fof(f2550,plain,
( ! [X0] :
( empty(sK9(X0))
| empty(sK17(powerset(sK9(X0))))
| element(sK17(sK17(powerset(sK9(X0)))),X0)
| empty(X0) )
| ~ spl27_109
| ~ spl27_305 ),
inference(resolution,[],[f2533,f836]) ).
fof(f9722,plain,
( spl27_857
| ~ spl27_108
| ~ spl27_305 ),
inference(avatar_split_clause,[],[f2549,f2532,f831,f9720]) ).
fof(f9720,plain,
( spl27_857
<=> ! [X0] :
( empty(sK8(X0))
| empty(sK17(powerset(sK8(X0))))
| element(sK17(sK17(powerset(sK8(X0)))),X0)
| empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_857])]) ).
fof(f2549,plain,
( ! [X0] :
( empty(sK8(X0))
| empty(sK17(powerset(sK8(X0))))
| element(sK17(sK17(powerset(sK8(X0)))),X0)
| empty(X0) )
| ~ spl27_108
| ~ spl27_305 ),
inference(resolution,[],[f2533,f832]) ).
fof(f9548,plain,
( spl27_856
| ~ spl27_35
| ~ spl27_843 ),
inference(avatar_split_clause,[],[f9518,f9403,f396,f9546]) ).
fof(f9546,plain,
( spl27_856
<=> ! [X2,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(sK8(sK6),X1,X2)
| ~ in(sK7,apply_netmap(X2,X1,sK13(sK8(sK6),X1,X2,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_856])]) ).
fof(f9403,plain,
( spl27_843
<=> ! [X2,X0,X1] :
( ~ element(X0,the_carrier(X1))
| in(apply_netmap(X2,X1,sK13(sK8(sK6),X1,X2,X0)),sK7)
| ~ sP0(sK8(sK6),X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_843])]) ).
fof(f9518,plain,
( ! [X2,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(sK8(sK6),X1,X2)
| ~ in(sK7,apply_netmap(X2,X1,sK13(sK8(sK6),X1,X2,X0))) )
| ~ spl27_35
| ~ spl27_843 ),
inference(resolution,[],[f9404,f397]) ).
fof(f9404,plain,
( ! [X2,X0,X1] :
( in(apply_netmap(X2,X1,sK13(sK8(sK6),X1,X2,X0)),sK7)
| ~ element(X0,the_carrier(X1))
| ~ sP0(sK8(sK6),X1,X2) )
| ~ spl27_843 ),
inference(avatar_component_clause,[],[f9403]) ).
fof(f9543,plain,
( spl27_1
| spl27_855
| ~ spl27_304
| ~ spl27_506 ),
inference(avatar_split_clause,[],[f5296,f5182,f2480,f9541,f234]) ).
fof(f9541,plain,
( spl27_855
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X1)
| sP2(X4,sK4,X5)
| ~ net_str(X1,X0)
| sP2(X2,sK4,X3)
| ~ one_sorted_str(X1)
| ~ net_str(sK4,X1)
| apply_netmap(X0,X1,apply_netmap(X1,sK4,sK14(X2,sK4,X3,sK14(X4,sK4,X5,apply_netmap(sK4,sK5,sK17(the_carrier(sK5))))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,sK4,sK14(X2,sK4,X3,sK14(X4,sK4,X5,apply_netmap(sK4,sK5,sK17(the_carrier(sK5)))))))
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_855])]) ).
fof(f5182,plain,
( spl27_506
<=> ! [X2,X3,X4,X0,X6,X5,X1,X7] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,sK14(X5,X2,X6,X7)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,sK14(X5,X2,X6,X7))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| sP2(X5,X2,X6)
| ~ element(X7,the_carrier(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_506])]) ).
fof(f5296,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,sK4,sK14(X2,sK4,X3,sK14(X4,sK4,X5,apply_netmap(sK4,sK5,sK17(the_carrier(sK5))))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,sK4,sK14(X2,sK4,X3,sK14(X4,sK4,X5,apply_netmap(sK4,sK5,sK17(the_carrier(sK5)))))))
| ~ net_str(sK4,X1)
| empty_carrier(sK4)
| ~ one_sorted_str(X1)
| sP2(X2,sK4,X3)
| ~ net_str(X1,X0)
| sP2(X4,sK4,X5)
| empty_carrier(X1) )
| ~ spl27_304
| ~ spl27_506 ),
inference(resolution,[],[f5183,f2482]) ).
fof(f5183,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ element(X7,the_carrier(X2))
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,sK14(X5,X2,X6,X7)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,sK14(X5,X2,X6,X7))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| sP2(X5,X2,X6)
| empty_carrier(X0) )
| ~ spl27_506 ),
inference(avatar_component_clause,[],[f5182]) ).
fof(f9539,plain,
( spl27_1
| spl27_854
| ~ spl27_304
| ~ spl27_504 ),
inference(avatar_split_clause,[],[f5251,f5174,f2480,f9537,f234]) ).
fof(f9537,plain,
( spl27_854
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X2)
| sP2(X4,sK4,X5)
| ~ one_sorted_str(X2)
| ~ net_str(sK4,X2)
| ~ net_str(X2,X0)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X2,sK4,sK14(X4,sK4,X5,apply_netmap(sK4,sK5,sK17(the_carrier(sK5))))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X2,sK4,sK14(X4,sK4,X5,apply_netmap(sK4,sK5,sK17(the_carrier(sK5)))))))
| sP2(X1,X2,X3)
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_854])]) ).
fof(f5174,plain,
( spl27_504
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,sK14(X5,X4,X6,X7)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,sK14(X5,X4,X6,X7))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| sP2(X5,X4,X6)
| ~ element(X7,the_carrier(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_504])]) ).
fof(f5251,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X2,sK4,sK14(X4,sK4,X5,apply_netmap(sK4,sK5,sK17(the_carrier(sK5))))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X2,sK4,sK14(X4,sK4,X5,apply_netmap(sK4,sK5,sK17(the_carrier(sK5)))))))
| ~ net_str(X2,X0)
| ~ net_str(sK4,X2)
| empty_carrier(sK4)
| ~ one_sorted_str(X2)
| sP2(X4,sK4,X5)
| empty_carrier(X2) )
| ~ spl27_304
| ~ spl27_504 ),
inference(resolution,[],[f5175,f2482]) ).
fof(f5175,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ element(X7,the_carrier(X4))
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,sK14(X5,X4,X6,X7)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,sK14(X5,X4,X6,X7))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| sP2(X5,X4,X6)
| empty_carrier(X0) )
| ~ spl27_504 ),
inference(avatar_component_clause,[],[f5174]) ).
fof(f9535,plain,
( spl27_1
| spl27_853
| ~ spl27_304
| ~ spl27_502 ),
inference(avatar_split_clause,[],[f5206,f5166,f2480,f9533,f234]) ).
fof(f9533,plain,
( spl27_853
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ one_sorted_str(X0)
| ~ one_sorted_str(X2)
| ~ net_str(sK4,X2)
| empty_carrier(X2)
| ~ net_str(X2,X0)
| sP2(X4,X2,X5)
| apply_netmap(X0,X2,sK14(X1,X2,X3,sK14(X4,X2,X5,apply_netmap(X2,sK4,apply_netmap(sK4,sK5,sK17(the_carrier(sK5))))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,sK14(X4,X2,X5,apply_netmap(X2,sK4,apply_netmap(sK4,sK5,sK17(the_carrier(sK5)))))))
| sP2(X1,X2,X3)
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_853])]) ).
fof(f5166,plain,
( spl27_502
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X0,X6,X7)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X0,X6,X7))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| ~ element(X7,the_carrier(X6))
| ~ net_str(X6,X0)
| empty_carrier(X6)
| ~ one_sorted_str(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_502])]) ).
fof(f5206,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,sK14(X4,X2,X5,apply_netmap(X2,sK4,apply_netmap(sK4,sK5,sK17(the_carrier(sK5))))))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,sK14(X4,X2,X5,apply_netmap(X2,sK4,apply_netmap(sK4,sK5,sK17(the_carrier(sK5)))))))
| sP2(X4,X2,X5)
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ net_str(sK4,X2)
| empty_carrier(sK4)
| ~ one_sorted_str(X2) )
| ~ spl27_304
| ~ spl27_502 ),
inference(resolution,[],[f5167,f2482]) ).
fof(f5167,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ element(X7,the_carrier(X6))
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X0,X6,X7)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X0,X6,X7))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ net_str(X6,X0)
| empty_carrier(X6)
| ~ one_sorted_str(X0) )
| ~ spl27_502 ),
inference(avatar_component_clause,[],[f5166]) ).
fof(f9531,plain,
( spl27_852
| ~ spl27_155
| ~ spl27_443 ),
inference(avatar_split_clause,[],[f4467,f4419,f1177,f9529]) ).
fof(f9529,plain,
( spl27_852
<=> ! [X0,X3,X2,X1] :
( ~ element(X0,the_carrier(sK5))
| empty(the_carrier(X1))
| apply_netmap(X2,X1,apply_netmap(X3,sK5,sK13(sK10(the_carrier(X1)),sK5,X3,X0))) = apply_on_structs(X1,X2,the_mapping(X2,X1),apply_netmap(X3,sK5,sK13(sK10(the_carrier(X1)),sK5,X3,X0)))
| ~ net_str(X1,X2)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| apply_netmap(sK4,sK5,sK12(sK10(the_carrier(X1)),sK5,X3)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK10(the_carrier(X1)),sK5,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_852])]) ).
fof(f4467,plain,
( ! [X2,X3,X0,X1] :
( ~ element(X0,the_carrier(sK5))
| empty(the_carrier(X1))
| apply_netmap(X2,X1,apply_netmap(X3,sK5,sK13(sK10(the_carrier(X1)),sK5,X3,X0))) = apply_on_structs(X1,X2,the_mapping(X2,X1),apply_netmap(X3,sK5,sK13(sK10(the_carrier(X1)),sK5,X3,X0)))
| ~ net_str(X1,X2)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| apply_netmap(sK4,sK5,sK12(sK10(the_carrier(X1)),sK5,X3)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK10(the_carrier(X1)),sK5,X3)) )
| ~ spl27_155
| ~ spl27_443 ),
inference(resolution,[],[f4420,f1178]) ).
fof(f9527,plain,
( spl27_851
| ~ spl27_155
| ~ spl27_442 ),
inference(avatar_split_clause,[],[f4463,f4415,f1177,f9525]) ).
fof(f9525,plain,
( spl27_851
<=> ! [X0,X3,X2,X1] :
( ~ element(X0,the_carrier(sK5))
| empty(the_carrier(X1))
| apply_netmap(X2,X1,apply_netmap(X3,sK5,sK13(sK9(the_carrier(X1)),sK5,X3,X0))) = apply_on_structs(X1,X2,the_mapping(X2,X1),apply_netmap(X3,sK5,sK13(sK9(the_carrier(X1)),sK5,X3,X0)))
| ~ net_str(X1,X2)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| apply_netmap(sK4,sK5,sK12(sK9(the_carrier(X1)),sK5,X3)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK9(the_carrier(X1)),sK5,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_851])]) ).
fof(f4463,plain,
( ! [X2,X3,X0,X1] :
( ~ element(X0,the_carrier(sK5))
| empty(the_carrier(X1))
| apply_netmap(X2,X1,apply_netmap(X3,sK5,sK13(sK9(the_carrier(X1)),sK5,X3,X0))) = apply_on_structs(X1,X2,the_mapping(X2,X1),apply_netmap(X3,sK5,sK13(sK9(the_carrier(X1)),sK5,X3,X0)))
| ~ net_str(X1,X2)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| apply_netmap(sK4,sK5,sK12(sK9(the_carrier(X1)),sK5,X3)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK9(the_carrier(X1)),sK5,X3)) )
| ~ spl27_155
| ~ spl27_442 ),
inference(resolution,[],[f4416,f1178]) ).
fof(f9523,plain,
( spl27_850
| ~ spl27_155
| ~ spl27_441 ),
inference(avatar_split_clause,[],[f4459,f4411,f1177,f9521]) ).
fof(f9521,plain,
( spl27_850
<=> ! [X0,X3,X2,X1] :
( ~ element(X0,the_carrier(sK5))
| empty(the_carrier(X1))
| apply_netmap(X2,X1,apply_netmap(X3,sK5,sK13(sK8(the_carrier(X1)),sK5,X3,X0))) = apply_on_structs(X1,X2,the_mapping(X2,X1),apply_netmap(X3,sK5,sK13(sK8(the_carrier(X1)),sK5,X3,X0)))
| ~ net_str(X1,X2)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| apply_netmap(sK4,sK5,sK12(sK8(the_carrier(X1)),sK5,X3)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK8(the_carrier(X1)),sK5,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_850])]) ).
fof(f4459,plain,
( ! [X2,X3,X0,X1] :
( ~ element(X0,the_carrier(sK5))
| empty(the_carrier(X1))
| apply_netmap(X2,X1,apply_netmap(X3,sK5,sK13(sK8(the_carrier(X1)),sK5,X3,X0))) = apply_on_structs(X1,X2,the_mapping(X2,X1),apply_netmap(X3,sK5,sK13(sK8(the_carrier(X1)),sK5,X3,X0)))
| ~ net_str(X1,X2)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| apply_netmap(sK4,sK5,sK12(sK8(the_carrier(X1)),sK5,X3)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK8(the_carrier(X1)),sK5,X3)) )
| ~ spl27_155
| ~ spl27_441 ),
inference(resolution,[],[f4412,f1178]) ).
fof(f9514,plain,
( spl27_849
| ~ spl27_66
| ~ spl27_330 ),
inference(avatar_split_clause,[],[f2874,f2848,f568,f9512]) ).
fof(f9512,plain,
( spl27_849
<=> ! [X5,X4,X0,X3,X2,X1] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ net_str(X2,X3)
| empty_carrier(X2)
| ~ one_sorted_str(X2)
| ~ net_str(sK5,X2)
| apply_netmap(X3,X2,apply_netmap(X2,sK5,sK13(X0,sK5,X1,sK15(X4,sK5,X5)))) = apply_on_structs(X2,X3,the_mapping(X3,X2),apply_netmap(X2,sK5,sK13(X0,sK5,X1,sK15(X4,sK5,X5))))
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| ~ sP2(X4,sK5,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_849])]) ).
fof(f2874,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ net_str(X2,X3)
| empty_carrier(X2)
| ~ one_sorted_str(X2)
| ~ net_str(sK5,X2)
| apply_netmap(X3,X2,apply_netmap(X2,sK5,sK13(X0,sK5,X1,sK15(X4,sK5,X5)))) = apply_on_structs(X2,X3,the_mapping(X3,X2),apply_netmap(X2,sK5,sK13(X0,sK5,X1,sK15(X4,sK5,X5))))
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| ~ sP2(X4,sK5,X5) )
| ~ spl27_66
| ~ spl27_330 ),
inference(resolution,[],[f2849,f569]) ).
fof(f9510,plain,
( spl27_848
| ~ spl27_63
| ~ spl27_330 ),
inference(avatar_split_clause,[],[f2871,f2848,f556,f9508]) ).
fof(f9508,plain,
( spl27_848
<=> ! [X5,X4,X0,X3,X2,X1] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ net_str(X2,X3)
| empty_carrier(X2)
| ~ one_sorted_str(X2)
| ~ net_str(sK5,X2)
| apply_netmap(X3,X2,apply_netmap(X2,sK5,sK13(X0,sK5,X1,sK12(X4,sK5,X5)))) = apply_on_structs(X2,X3,the_mapping(X3,X2),apply_netmap(X2,sK5,sK13(X0,sK5,X1,sK12(X4,sK5,X5))))
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| sP0(X4,sK5,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_848])]) ).
fof(f2871,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ net_str(X2,X3)
| empty_carrier(X2)
| ~ one_sorted_str(X2)
| ~ net_str(sK5,X2)
| apply_netmap(X3,X2,apply_netmap(X2,sK5,sK13(X0,sK5,X1,sK12(X4,sK5,X5)))) = apply_on_structs(X2,X3,the_mapping(X3,X2),apply_netmap(X2,sK5,sK13(X0,sK5,X1,sK12(X4,sK5,X5))))
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| sP0(X4,sK5,X5) )
| ~ spl27_63
| ~ spl27_330 ),
inference(resolution,[],[f2849,f557]) ).
fof(f9505,plain,
( spl27_275
| spl27_3
| ~ spl27_59
| spl27_847
| ~ spl27_174
| ~ spl27_328 ),
inference(avatar_split_clause,[],[f2835,f2802,f1340,f9503,f524,f244,f2202]) ).
fof(f9503,plain,
( spl27_847
<=> ! [X4,X0,X3,X2,X1] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| empty_carrier(X2)
| sP2(X3,sK5,X4)
| apply_netmap(X2,sK5,sK14(X3,sK5,X4,sK13(X0,sK5,X1,sK17(sK16(sK5))))) = apply_on_structs(sK5,X2,the_mapping(X2,sK5),sK14(X3,sK5,X4,sK13(X0,sK5,X1,sK17(sK16(sK5)))))
| ~ net_str(sK5,X2)
| ~ one_sorted_str(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_847])]) ).
fof(f2835,plain,
( ! [X2,X3,X0,X1,X4] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ net_str(sK5,X2)
| ~ one_sorted_str(X2)
| apply_netmap(X2,sK5,sK14(X3,sK5,X4,sK13(X0,sK5,X1,sK17(sK16(sK5))))) = apply_on_structs(sK5,X2,the_mapping(X2,sK5),sK14(X3,sK5,X4,sK13(X0,sK5,X1,sK17(sK16(sK5)))))
| sP2(X3,sK5,X4)
| empty_carrier(X2)
| ~ one_sorted_str(sK5)
| empty_carrier(sK5)
| empty(sK16(sK5)) )
| ~ spl27_174
| ~ spl27_328 ),
inference(resolution,[],[f2803,f1341]) ).
fof(f9498,plain,
( spl27_275
| spl27_3
| ~ spl27_59
| spl27_846
| ~ spl27_174
| ~ spl27_327 ),
inference(avatar_split_clause,[],[f2789,f2762,f1340,f9496,f524,f244,f2202]) ).
fof(f9496,plain,
( spl27_846
<=> ! [X2,X0,X1] :
( apply_netmap(X0,X1,apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,sK17(sK16(sK5))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,sK17(sK16(sK5)))))
| apply_netmap(sK4,sK5,sK12(the_carrier(X1),sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X1),sK5,X2))
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty_carrier(X1)
| ~ net_str(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_846])]) ).
fof(f2789,plain,
( ! [X2,X0,X1] :
( apply_netmap(X0,X1,apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,sK17(sK16(sK5))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,sK17(sK16(sK5)))))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(sK4,sK5,sK12(the_carrier(X1),sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X1),sK5,X2))
| ~ one_sorted_str(sK5)
| empty_carrier(sK5)
| empty(sK16(sK5)) )
| ~ spl27_174
| ~ spl27_327 ),
inference(resolution,[],[f2763,f1341]) ).
fof(f9438,plain,
( spl27_3
| ~ spl27_59
| ~ spl27_2
| ~ spl27_300
| ~ spl27_301
| spl27_1
| spl27_845
| ~ spl27_258
| ~ spl27_302 ),
inference(avatar_split_clause,[],[f2569,f2472,f2086,f9436,f234,f2468,f2464,f239,f524,f244]) ).
fof(f9436,plain,
( spl27_845
<=> ! [X2,X0,X1] :
( empty_carrier(X0)
| ~ net_str(X0,X1)
| ~ element(X2,the_carrier(sK5))
| ~ one_sorted_str(X0)
| ~ net_str(sK4,X0)
| apply_netmap(X1,X0,apply_netmap(X0,sK4,apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),X2))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,sK4,apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),X2)))
| ~ one_sorted_str(X1)
| empty_carrier(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_845])]) ).
fof(f2086,plain,
( spl27_258
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_on_structs(X3,X2,X4,X5))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_on_structs(X3,X2,X4,X5)))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ element(X5,the_carrier(X3))
| ~ relation_of2(X4,the_carrier(X3),the_carrier(X2))
| ~ quasi_total(X4,the_carrier(X3),the_carrier(X2))
| ~ function(X4)
| ~ one_sorted_str(X2)
| ~ one_sorted_str(X3)
| empty_carrier(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_258])]) ).
fof(f2569,plain,
( ! [X2,X0,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,sK4,apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),X2))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,sK4,apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),X2)))
| ~ net_str(sK4,X0)
| empty_carrier(sK4)
| ~ one_sorted_str(X0)
| ~ element(X2,the_carrier(sK5))
| ~ net_str(X0,X1)
| ~ quasi_total(the_mapping(sK4,sK5),the_carrier(sK5),the_carrier(sK4))
| ~ function(the_mapping(sK4,sK5))
| ~ one_sorted_str(sK4)
| ~ one_sorted_str(sK5)
| empty_carrier(sK5) )
| ~ spl27_258
| ~ spl27_302 ),
inference(resolution,[],[f2473,f2087]) ).
fof(f2087,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ relation_of2(X4,the_carrier(X3),the_carrier(X2))
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_on_structs(X3,X2,X4,X5))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_on_structs(X3,X2,X4,X5)))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ element(X5,the_carrier(X3))
| ~ net_str(X0,X1)
| ~ quasi_total(X4,the_carrier(X3),the_carrier(X2))
| ~ function(X4)
| ~ one_sorted_str(X2)
| ~ one_sorted_str(X3)
| empty_carrier(X3) )
| ~ spl27_258 ),
inference(avatar_component_clause,[],[f2086]) ).
fof(f9434,plain,
( spl27_844
| ~ spl27_279
| ~ spl27_298 ),
inference(avatar_split_clause,[],[f2451,f2448,f2232,f9432]) ).
fof(f9432,plain,
( spl27_844
<=> ! [X5,X4,X0,X3,X2,X1] :
( apply_netmap(X0,sK5,sK13(sK7,sK5,sK4,sK13(X1,sK5,X2,X3))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK7,sK5,sK4,sK13(X1,sK5,X2,X3)))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ element(X3,sK24)
| sP2(X4,sK5,X5)
| apply_netmap(sK4,sK5,sK14(X4,sK5,X5,sK12(X1,sK5,X2))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X4,sK5,X5,sK12(X1,sK5,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_844])]) ).
fof(f2448,plain,
( spl27_298
<=> ! [X0,X3,X2,X1] :
( ~ element(X3,sK24)
| apply_netmap(X0,sK5,sK13(sK7,sK5,sK4,sK13(X1,sK5,X2,X3))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK7,sK5,sK4,sK13(X1,sK5,X2,X3)))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ sP0(X1,sK5,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_298])]) ).
fof(f2451,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( apply_netmap(X0,sK5,sK13(sK7,sK5,sK4,sK13(X1,sK5,X2,X3))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK7,sK5,sK4,sK13(X1,sK5,X2,X3)))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ element(X3,sK24)
| sP2(X4,sK5,X5)
| apply_netmap(sK4,sK5,sK14(X4,sK5,X5,sK12(X1,sK5,X2))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X4,sK5,X5,sK12(X1,sK5,X2))) )
| ~ spl27_279
| ~ spl27_298 ),
inference(resolution,[],[f2449,f2233]) ).
fof(f2449,plain,
( ! [X2,X3,X0,X1] :
( ~ sP0(X1,sK5,X2)
| apply_netmap(X0,sK5,sK13(sK7,sK5,sK4,sK13(X1,sK5,X2,X3))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK7,sK5,sK4,sK13(X1,sK5,X2,X3)))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ element(X3,sK24) )
| ~ spl27_298 ),
inference(avatar_component_clause,[],[f2448]) ).
fof(f9405,plain,
( spl27_123
| spl27_843
| ~ spl27_50
| ~ spl27_662 ),
inference(avatar_split_clause,[],[f6773,f6770,f465,f9403,f922]) ).
fof(f6770,plain,
( spl27_662
<=> ! [X2,X0,X1] :
( ~ element(X0,the_carrier(X1))
| element(apply_netmap(X2,X1,sK13(sK8(sK6),X1,X2,X0)),sK7)
| ~ sP0(sK8(sK6),X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_662])]) ).
fof(f6773,plain,
( ! [X2,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(sK8(sK6),X1,X2)
| empty(sK7)
| in(apply_netmap(X2,X1,sK13(sK8(sK6),X1,X2,X0)),sK7) )
| ~ spl27_50
| ~ spl27_662 ),
inference(resolution,[],[f6771,f466]) ).
fof(f6771,plain,
( ! [X2,X0,X1] :
( element(apply_netmap(X2,X1,sK13(sK8(sK6),X1,X2,X0)),sK7)
| ~ element(X0,the_carrier(X1))
| ~ sP0(sK8(sK6),X1,X2) )
| ~ spl27_662 ),
inference(avatar_component_clause,[],[f6770]) ).
fof(f9372,plain,
( spl27_1
| spl27_842
| ~ spl27_304
| ~ spl27_499 ),
inference(avatar_split_clause,[],[f5146,f5100,f2480,f9370,f234]) ).
fof(f9370,plain,
( spl27_842
<=> ! [X5,X4,X2,X0,X6,X3,X1] :
( ~ one_sorted_str(X0)
| sP2(X5,sK4,X6)
| ~ net_str(sK4,X0)
| sP2(X3,sK4,X4)
| apply_netmap(X0,sK4,sK14(X1,sK4,X2,sK14(X3,sK4,X4,sK14(X5,sK4,X6,apply_netmap(sK4,sK5,sK17(the_carrier(sK5))))))) = apply_on_structs(sK4,X0,the_mapping(X0,sK4),sK14(X1,sK4,X2,sK14(X3,sK4,X4,sK14(X5,sK4,X6,apply_netmap(sK4,sK5,sK17(the_carrier(sK5)))))))
| sP2(X1,sK4,X2)
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_842])]) ).
fof(f5100,plain,
( spl27_499
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,sK14(X6,X0,X7,X8)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,sK14(X6,X0,X7,X8))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| sP2(X6,X0,X7)
| ~ element(X8,the_carrier(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_499])]) ).
fof(f5146,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,sK4,X2)
| apply_netmap(X0,sK4,sK14(X1,sK4,X2,sK14(X3,sK4,X4,sK14(X5,sK4,X6,apply_netmap(sK4,sK5,sK17(the_carrier(sK5))))))) = apply_on_structs(sK4,X0,the_mapping(X0,sK4),sK14(X1,sK4,X2,sK14(X3,sK4,X4,sK14(X5,sK4,X6,apply_netmap(sK4,sK5,sK17(the_carrier(sK5)))))))
| sP2(X3,sK4,X4)
| ~ net_str(sK4,X0)
| sP2(X5,sK4,X6)
| empty_carrier(sK4) )
| ~ spl27_304
| ~ spl27_499 ),
inference(resolution,[],[f5101,f2482]) ).
fof(f5101,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ element(X8,the_carrier(X0))
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,sK14(X6,X0,X7,X8)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,sK14(X6,X0,X7,X8))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| sP2(X6,X0,X7)
| empty_carrier(X0) )
| ~ spl27_499 ),
inference(avatar_component_clause,[],[f5100]) ).
fof(f9368,plain,
( spl27_841
| ~ spl27_66
| ~ spl27_328 ),
inference(avatar_split_clause,[],[f2834,f2802,f568,f9366]) ).
fof(f9366,plain,
( spl27_841
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ net_str(sK5,X2)
| ~ one_sorted_str(X2)
| apply_netmap(X2,sK5,sK14(X3,sK5,X4,sK13(X0,sK5,X1,sK15(X5,sK5,X6)))) = apply_on_structs(sK5,X2,the_mapping(X2,sK5),sK14(X3,sK5,X4,sK13(X0,sK5,X1,sK15(X5,sK5,X6))))
| sP2(X3,sK5,X4)
| empty_carrier(X2)
| ~ sP2(X5,sK5,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_841])]) ).
fof(f2834,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ net_str(sK5,X2)
| ~ one_sorted_str(X2)
| apply_netmap(X2,sK5,sK14(X3,sK5,X4,sK13(X0,sK5,X1,sK15(X5,sK5,X6)))) = apply_on_structs(sK5,X2,the_mapping(X2,sK5),sK14(X3,sK5,X4,sK13(X0,sK5,X1,sK15(X5,sK5,X6))))
| sP2(X3,sK5,X4)
| empty_carrier(X2)
| ~ sP2(X5,sK5,X6) )
| ~ spl27_66
| ~ spl27_328 ),
inference(resolution,[],[f2803,f569]) ).
fof(f9364,plain,
( spl27_840
| ~ spl27_63
| ~ spl27_328 ),
inference(avatar_split_clause,[],[f2831,f2802,f556,f9362]) ).
fof(f9362,plain,
( spl27_840
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ net_str(sK5,X2)
| ~ one_sorted_str(X2)
| apply_netmap(X2,sK5,sK14(X3,sK5,X4,sK13(X0,sK5,X1,sK12(X5,sK5,X6)))) = apply_on_structs(sK5,X2,the_mapping(X2,sK5),sK14(X3,sK5,X4,sK13(X0,sK5,X1,sK12(X5,sK5,X6))))
| sP2(X3,sK5,X4)
| empty_carrier(X2)
| sP0(X5,sK5,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_840])]) ).
fof(f2831,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ net_str(sK5,X2)
| ~ one_sorted_str(X2)
| apply_netmap(X2,sK5,sK14(X3,sK5,X4,sK13(X0,sK5,X1,sK12(X5,sK5,X6)))) = apply_on_structs(sK5,X2,the_mapping(X2,sK5),sK14(X3,sK5,X4,sK13(X0,sK5,X1,sK12(X5,sK5,X6))))
| sP2(X3,sK5,X4)
| empty_carrier(X2)
| sP0(X5,sK5,X6) )
| ~ spl27_63
| ~ spl27_328 ),
inference(resolution,[],[f2803,f557]) ).
fof(f9360,plain,
( spl27_839
| ~ spl27_66
| ~ spl27_327 ),
inference(avatar_split_clause,[],[f2788,f2762,f568,f9358]) ).
fof(f9358,plain,
( spl27_839
<=> ! [X4,X0,X3,X2,X1] :
( apply_netmap(X0,X1,apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,sK15(X3,sK5,X4)))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,sK15(X3,sK5,X4))))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(sK4,sK5,sK12(the_carrier(X1),sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X1),sK5,X2))
| ~ sP2(X3,sK5,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_839])]) ).
fof(f2788,plain,
( ! [X2,X3,X0,X1,X4] :
( apply_netmap(X0,X1,apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,sK15(X3,sK5,X4)))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,sK15(X3,sK5,X4))))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(sK4,sK5,sK12(the_carrier(X1),sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X1),sK5,X2))
| ~ sP2(X3,sK5,X4) )
| ~ spl27_66
| ~ spl27_327 ),
inference(resolution,[],[f2763,f569]) ).
fof(f9356,plain,
( spl27_838
| ~ spl27_63
| ~ spl27_327 ),
inference(avatar_split_clause,[],[f2785,f2762,f556,f9354]) ).
fof(f9354,plain,
( spl27_838
<=> ! [X4,X0,X3,X2,X1] :
( apply_netmap(X0,X1,apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,sK12(X3,sK5,X4)))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,sK12(X3,sK5,X4))))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(sK4,sK5,sK12(the_carrier(X1),sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X1),sK5,X2))
| sP0(X3,sK5,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_838])]) ).
fof(f2785,plain,
( ! [X2,X3,X0,X1,X4] :
( apply_netmap(X0,X1,apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,sK12(X3,sK5,X4)))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,sK12(X3,sK5,X4))))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(sK4,sK5,sK12(the_carrier(X1),sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X1),sK5,X2))
| sP0(X3,sK5,X4) )
| ~ spl27_63
| ~ spl27_327 ),
inference(resolution,[],[f2763,f557]) ).
fof(f9295,plain,
( spl27_837
| ~ spl27_259
| ~ spl27_547 ),
inference(avatar_split_clause,[],[f5794,f5756,f2094,f9293]) ).
fof(f9293,plain,
( spl27_837
<=> ! [X0] : apply_netmap(sK4,sK5,sK12(sK17(powerset(sK6)),sK5,X0)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK17(powerset(sK6)),sK5,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_837])]) ).
fof(f2094,plain,
( spl27_259
<=> ! [X0,X1] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_259])]) ).
fof(f5756,plain,
( spl27_547
<=> empty(sK17(powerset(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_547])]) ).
fof(f5794,plain,
( ! [X0] : apply_netmap(sK4,sK5,sK12(sK17(powerset(sK6)),sK5,X0)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK17(powerset(sK6)),sK5,X0))
| ~ spl27_259
| ~ spl27_547 ),
inference(resolution,[],[f5758,f2095]) ).
fof(f2095,plain,
( ! [X0,X1] :
( ~ empty(X0)
| apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1)) )
| ~ spl27_259 ),
inference(avatar_component_clause,[],[f2094]) ).
fof(f5758,plain,
( empty(sK17(powerset(sK6)))
| ~ spl27_547 ),
inference(avatar_component_clause,[],[f5756]) ).
fof(f9291,plain,
( spl27_3
| ~ spl27_59
| ~ spl27_2
| ~ spl27_300
| ~ spl27_301
| spl27_836
| spl27_1
| ~ spl27_257
| ~ spl27_302 ),
inference(avatar_split_clause,[],[f2570,f2472,f2078,f234,f9289,f2468,f2464,f239,f524,f244]) ).
fof(f9289,plain,
( spl27_836
<=> ! [X0,X3,X2,X1] :
( ~ one_sorted_str(X0)
| ~ net_str(sK4,X0)
| ~ element(X3,the_carrier(sK5))
| apply_netmap(X0,sK4,sK14(X1,sK4,X2,apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),X3))) = apply_on_structs(sK4,X0,the_mapping(X0,sK4),sK14(X1,sK4,X2,apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),X3)))
| sP2(X1,sK4,X2)
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_836])]) ).
fof(f2078,plain,
( spl27_257
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_on_structs(X4,X0,X5,X6))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_on_structs(X4,X0,X5,X6)))
| ~ element(X6,the_carrier(X4))
| ~ relation_of2(X5,the_carrier(X4),the_carrier(X0))
| ~ quasi_total(X5,the_carrier(X4),the_carrier(X0))
| ~ function(X5)
| ~ one_sorted_str(X0)
| ~ one_sorted_str(X4)
| empty_carrier(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_257])]) ).
fof(f2570,plain,
( ! [X2,X3,X0,X1] :
( empty_carrier(sK4)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,sK4,X2)
| apply_netmap(X0,sK4,sK14(X1,sK4,X2,apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),X3))) = apply_on_structs(sK4,X0,the_mapping(X0,sK4),sK14(X1,sK4,X2,apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),X3)))
| ~ element(X3,the_carrier(sK5))
| ~ net_str(sK4,X0)
| ~ quasi_total(the_mapping(sK4,sK5),the_carrier(sK5),the_carrier(sK4))
| ~ function(the_mapping(sK4,sK5))
| ~ one_sorted_str(sK4)
| ~ one_sorted_str(sK5)
| empty_carrier(sK5) )
| ~ spl27_257
| ~ spl27_302 ),
inference(resolution,[],[f2473,f2079]) ).
fof(f2079,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ relation_of2(X5,the_carrier(X4),the_carrier(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_on_structs(X4,X0,X5,X6))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_on_structs(X4,X0,X5,X6)))
| ~ element(X6,the_carrier(X4))
| ~ net_str(X0,X1)
| ~ quasi_total(X5,the_carrier(X4),the_carrier(X0))
| ~ function(X5)
| ~ one_sorted_str(X0)
| ~ one_sorted_str(X4)
| empty_carrier(X4) )
| ~ spl27_257 ),
inference(avatar_component_clause,[],[f2078]) ).
fof(f9158,plain,
( spl27_835
| ~ spl27_35
| ~ spl27_334 ),
inference(avatar_split_clause,[],[f2934,f2900,f396,f9156]) ).
fof(f9156,plain,
( spl27_835
<=> ! [X0] :
( empty_carrier(X0)
| empty(sK16(X0))
| empty(the_carrier(X0))
| ~ one_sorted_str(X0)
| ~ in(the_carrier(X0),sK17(sK16(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_835])]) ).
fof(f2900,plain,
( spl27_334
<=> ! [X0] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(sK16(X0))
| empty(the_carrier(X0))
| in(sK17(sK16(X0)),the_carrier(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_334])]) ).
fof(f2934,plain,
( ! [X0] :
( empty_carrier(X0)
| empty(sK16(X0))
| empty(the_carrier(X0))
| ~ one_sorted_str(X0)
| ~ in(the_carrier(X0),sK17(sK16(X0))) )
| ~ spl27_35
| ~ spl27_334 ),
inference(resolution,[],[f2901,f397]) ).
fof(f2901,plain,
( ! [X0] :
( in(sK17(sK16(X0)),the_carrier(X0))
| empty_carrier(X0)
| empty(sK16(X0))
| empty(the_carrier(X0))
| ~ one_sorted_str(X0) )
| ~ spl27_334 ),
inference(avatar_component_clause,[],[f2900]) ).
fof(f9154,plain,
( spl27_834
| ~ spl27_50
| ~ spl27_307 ),
inference(avatar_split_clause,[],[f2563,f2540,f465,f9152]) ).
fof(f9152,plain,
( spl27_834
<=> ! [X0,X1] :
( empty(sK19(X0,X1))
| empty(cartesian_product2(X0,X1))
| in(sK17(sK19(X0,X1)),cartesian_product2(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_834])]) ).
fof(f2540,plain,
( spl27_307
<=> ! [X0,X1] :
( element(sK17(sK19(X0,X1)),cartesian_product2(X0,X1))
| empty(sK19(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_307])]) ).
fof(f2563,plain,
( ! [X0,X1] :
( empty(sK19(X0,X1))
| empty(cartesian_product2(X0,X1))
| in(sK17(sK19(X0,X1)),cartesian_product2(X0,X1)) )
| ~ spl27_50
| ~ spl27_307 ),
inference(resolution,[],[f2541,f466]) ).
fof(f2541,plain,
( ! [X0,X1] :
( element(sK17(sK19(X0,X1)),cartesian_product2(X0,X1))
| empty(sK19(X0,X1)) )
| ~ spl27_307 ),
inference(avatar_component_clause,[],[f2540]) ).
fof(f9150,plain,
( spl27_833
| ~ spl27_50
| ~ spl27_306 ),
inference(avatar_split_clause,[],[f2562,f2536,f465,f9148]) ).
fof(f9148,plain,
( spl27_833
<=> ! [X0,X1] :
( empty(sK20(X0,X1))
| empty(cartesian_product2(X0,X1))
| in(sK17(sK20(X0,X1)),cartesian_product2(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_833])]) ).
fof(f2536,plain,
( spl27_306
<=> ! [X0,X1] :
( element(sK17(sK20(X0,X1)),cartesian_product2(X0,X1))
| empty(sK20(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_306])]) ).
fof(f2562,plain,
( ! [X0,X1] :
( empty(sK20(X0,X1))
| empty(cartesian_product2(X0,X1))
| in(sK17(sK20(X0,X1)),cartesian_product2(X0,X1)) )
| ~ spl27_50
| ~ spl27_306 ),
inference(resolution,[],[f2537,f466]) ).
fof(f2537,plain,
( ! [X0,X1] :
( element(sK17(sK20(X0,X1)),cartesian_product2(X0,X1))
| empty(sK20(X0,X1)) )
| ~ spl27_306 ),
inference(avatar_component_clause,[],[f2536]) ).
fof(f9143,plain,
( spl27_832
| ~ spl27_104
| ~ spl27_295 ),
inference(avatar_split_clause,[],[f2431,f2374,f810,f9141]) ).
fof(f9141,plain,
( spl27_832
<=> ! [X0] :
( empty(sK10(sK17(powerset(X0))))
| empty(sK17(powerset(X0)))
| element(sK17(sK10(sK17(powerset(X0)))),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_832])]) ).
fof(f2431,plain,
( ! [X0] :
( empty(sK10(sK17(powerset(X0))))
| empty(sK17(powerset(X0)))
| element(sK17(sK10(sK17(powerset(X0)))),X0) )
| ~ spl27_104
| ~ spl27_295 ),
inference(resolution,[],[f2375,f811]) ).
fof(f9139,plain,
( spl27_831
| ~ spl27_104
| ~ spl27_294 ),
inference(avatar_split_clause,[],[f2414,f2370,f810,f9137]) ).
fof(f9137,plain,
( spl27_831
<=> ! [X0] :
( empty(sK9(sK17(powerset(X0))))
| empty(sK17(powerset(X0)))
| element(sK17(sK9(sK17(powerset(X0)))),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_831])]) ).
fof(f2414,plain,
( ! [X0] :
( empty(sK9(sK17(powerset(X0))))
| empty(sK17(powerset(X0)))
| element(sK17(sK9(sK17(powerset(X0)))),X0) )
| ~ spl27_104
| ~ spl27_294 ),
inference(resolution,[],[f2371,f811]) ).
fof(f9135,plain,
( spl27_830
| ~ spl27_104
| ~ spl27_281 ),
inference(avatar_split_clause,[],[f2397,f2257,f810,f9133]) ).
fof(f9133,plain,
( spl27_830
<=> ! [X0] :
( empty(sK8(sK17(powerset(X0))))
| empty(sK17(powerset(X0)))
| element(sK17(sK8(sK17(powerset(X0)))),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_830])]) ).
fof(f2397,plain,
( ! [X0] :
( empty(sK8(sK17(powerset(X0))))
| empty(sK17(powerset(X0)))
| element(sK17(sK8(sK17(powerset(X0)))),X0) )
| ~ spl27_104
| ~ spl27_281 ),
inference(resolution,[],[f2258,f811]) ).
fof(f9076,plain,
( spl27_3
| ~ spl27_59
| spl27_829
| ~ spl27_79
| ~ spl27_308 ),
inference(avatar_split_clause,[],[f2574,f2565,f636,f9074,f524,f244]) ).
fof(f9074,plain,
( spl27_829
<=> ! [X4,X0,X3,X2,X1] :
( apply_netmap(X0,sK5,sK13(X1,sK5,X2,apply_netmap(sK5,X3,X4))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(X1,sK5,X2,apply_netmap(sK5,X3,X4)))
| empty_carrier(X3)
| ~ net_str(X3,sK5)
| ~ element(X4,the_carrier(X3))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ net_str(sK5,X0)
| apply_netmap(sK4,sK5,sK12(X1,sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X1,sK5,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_829])]) ).
fof(f2574,plain,
( ! [X2,X3,X0,X1,X4] :
( apply_netmap(X0,sK5,sK13(X1,sK5,X2,apply_netmap(sK5,X3,X4))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(X1,sK5,X2,apply_netmap(sK5,X3,X4)))
| apply_netmap(sK4,sK5,sK12(X1,sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X1,sK5,X2))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ element(X4,the_carrier(X3))
| ~ net_str(X3,sK5)
| empty_carrier(X3)
| ~ one_sorted_str(sK5)
| empty_carrier(sK5) )
| ~ spl27_79
| ~ spl27_308 ),
inference(resolution,[],[f2566,f637]) ).
fof(f9071,plain,
( spl27_3
| spl27_828
| ~ spl27_226
| ~ spl27_269 ),
inference(avatar_split_clause,[],[f2156,f2153,f1699,f9069,f244]) ).
fof(f9069,plain,
( spl27_828
<=> ! [X0,X3,X2,X1] :
( apply_netmap(sK4,sK5,sK14(X0,sK5,X1,sK17(the_carrier(sK5)))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X0,sK5,X1,sK17(the_carrier(sK5))))
| ~ net_str(X2,X3)
| ~ one_sorted_str(X2)
| ~ net_str(sK5,X2)
| apply_netmap(X3,X2,apply_netmap(X2,sK5,sK15(X0,sK5,X1))) = apply_on_structs(X2,X3,the_mapping(X3,X2),apply_netmap(X2,sK5,sK15(X0,sK5,X1)))
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| empty_carrier(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_828])]) ).
fof(f2156,plain,
( ! [X2,X3,X0,X1] :
( apply_netmap(sK4,sK5,sK14(X0,sK5,X1,sK17(the_carrier(sK5)))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X0,sK5,X1,sK17(the_carrier(sK5))))
| empty_carrier(X2)
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| apply_netmap(X3,X2,apply_netmap(X2,sK5,sK15(X0,sK5,X1))) = apply_on_structs(X2,X3,the_mapping(X3,X2),apply_netmap(X2,sK5,sK15(X0,sK5,X1)))
| ~ net_str(sK5,X2)
| empty_carrier(sK5)
| ~ one_sorted_str(X2)
| ~ net_str(X2,X3) )
| ~ spl27_226
| ~ spl27_269 ),
inference(resolution,[],[f2154,f1700]) ).
fof(f9021,plain,
( spl27_827
| ~ spl27_155
| ~ spl27_417 ),
inference(avatar_split_clause,[],[f4179,f4175,f1177,f9019]) ).
fof(f9019,plain,
( spl27_827
<=> ! [X0,X3,X2,X1] :
( empty_carrier(X0)
| ~ element(X1,the_carrier(sK5))
| ~ one_sorted_str(X0)
| apply_netmap(X2,X0,apply_netmap(X3,sK5,sK13(sK16(X0),sK5,X3,X1))) = apply_on_structs(X0,X2,the_mapping(X2,X0),apply_netmap(X3,sK5,sK13(sK16(X0),sK5,X3,X1)))
| ~ net_str(X0,X2)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| apply_netmap(sK4,sK5,sK12(sK16(X0),sK5,X3)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK16(X0),sK5,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_827])]) ).
fof(f4179,plain,
( ! [X2,X3,X0,X1] :
( empty_carrier(X0)
| ~ element(X1,the_carrier(sK5))
| ~ one_sorted_str(X0)
| apply_netmap(X2,X0,apply_netmap(X3,sK5,sK13(sK16(X0),sK5,X3,X1))) = apply_on_structs(X0,X2,the_mapping(X2,X0),apply_netmap(X3,sK5,sK13(sK16(X0),sK5,X3,X1)))
| ~ net_str(X0,X2)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| apply_netmap(sK4,sK5,sK12(sK16(X0),sK5,X3)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK16(X0),sK5,X3)) )
| ~ spl27_155
| ~ spl27_417 ),
inference(resolution,[],[f4176,f1178]) ).
fof(f9017,plain,
( spl27_316
| spl27_826
| ~ spl27_50
| ~ spl27_727 ),
inference(avatar_split_clause,[],[f7622,f7562,f465,f9015,f2650]) ).
fof(f2650,plain,
( spl27_316
<=> empty(the_carrier(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_316])]) ).
fof(f9015,plain,
( spl27_826
<=> ! [X0] :
( ~ element(sK12(sK24,sK5,X0),the_carrier(sK5))
| in(apply_netmap(sK4,sK5,sK12(sK24,sK5,X0)),the_carrier(sK4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_826])]) ).
fof(f7562,plain,
( spl27_727
<=> ! [X0] :
( element(apply_netmap(sK4,sK5,sK12(sK24,sK5,X0)),the_carrier(sK4))
| ~ element(sK12(sK24,sK5,X0),the_carrier(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_727])]) ).
fof(f7622,plain,
( ! [X0] :
( ~ element(sK12(sK24,sK5,X0),the_carrier(sK5))
| empty(the_carrier(sK4))
| in(apply_netmap(sK4,sK5,sK12(sK24,sK5,X0)),the_carrier(sK4)) )
| ~ spl27_50
| ~ spl27_727 ),
inference(resolution,[],[f7563,f466]) ).
fof(f7563,plain,
( ! [X0] :
( element(apply_netmap(sK4,sK5,sK12(sK24,sK5,X0)),the_carrier(sK4))
| ~ element(sK12(sK24,sK5,X0),the_carrier(sK5)) )
| ~ spl27_727 ),
inference(avatar_component_clause,[],[f7562]) ).
fof(f9013,plain,
( spl27_825
| ~ spl27_279
| ~ spl27_287 ),
inference(avatar_split_clause,[],[f2325,f2320,f2232,f9011]) ).
fof(f9011,plain,
( spl27_825
<=> ! [X4,X0,X3,X2,X1] :
( ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| apply_netmap(X0,sK5,sK13(sK7,sK5,sK4,sK15(X1,sK5,X2))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK7,sK5,sK4,sK15(X1,sK5,X2)))
| sP0(X3,sK5,X4)
| apply_netmap(sK4,sK5,sK14(X1,sK5,X2,sK12(X3,sK5,X4))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X1,sK5,X2,sK12(X3,sK5,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_825])]) ).
fof(f2320,plain,
( spl27_287
<=> ! [X2,X0,X1] :
( apply_netmap(X0,sK5,sK13(sK7,sK5,sK4,sK15(X1,sK5,X2))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK7,sK5,sK4,sK15(X1,sK5,X2)))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ sP2(X1,sK5,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_287])]) ).
fof(f2325,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| apply_netmap(X0,sK5,sK13(sK7,sK5,sK4,sK15(X1,sK5,X2))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK7,sK5,sK4,sK15(X1,sK5,X2)))
| sP0(X3,sK5,X4)
| apply_netmap(sK4,sK5,sK14(X1,sK5,X2,sK12(X3,sK5,X4))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X1,sK5,X2,sK12(X3,sK5,X4))) )
| ~ spl27_279
| ~ spl27_287 ),
inference(resolution,[],[f2321,f2233]) ).
fof(f2321,plain,
( ! [X2,X0,X1] :
( ~ sP2(X1,sK5,X2)
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| apply_netmap(X0,sK5,sK13(sK7,sK5,sK4,sK15(X1,sK5,X2))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK7,sK5,sK4,sK15(X1,sK5,X2))) )
| ~ spl27_287 ),
inference(avatar_component_clause,[],[f2320]) ).
fof(f8964,plain,
( spl27_3
| spl27_824
| ~ spl27_139
| ~ spl27_279 ),
inference(avatar_split_clause,[],[f2242,f2232,f1025,f8962,f244]) ).
fof(f8962,plain,
( spl27_824
<=> ! [X3,X4,X0,X5,X2,X1] :
( sP2(X2,sK5,X3)
| apply_netmap(X4,sK5,sK13(X0,sK5,X1,X5)) = apply_on_structs(sK5,X4,the_mapping(X4,sK5),sK13(X0,sK5,X1,X5))
| ~ element(X5,the_carrier(sK5))
| ~ net_str(sK5,X4)
| empty_carrier(X4)
| ~ one_sorted_str(X4)
| apply_netmap(sK4,sK5,sK14(X2,sK5,X3,sK12(X0,sK5,X1))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X2,sK5,X3,sK12(X0,sK5,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_824])]) ).
fof(f1025,plain,
( spl27_139
<=> ! [X4,X0,X3,X2,X1] :
( apply_netmap(X0,X1,sK13(X2,X1,X3,X4)) = apply_on_structs(X1,X0,the_mapping(X0,X1),sK13(X2,X1,X3,X4))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ element(X4,the_carrier(X1))
| ~ sP0(X2,X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_139])]) ).
fof(f2242,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( sP2(X2,sK5,X3)
| apply_netmap(sK4,sK5,sK14(X2,sK5,X3,sK12(X0,sK5,X1))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X2,sK5,X3,sK12(X0,sK5,X1)))
| ~ net_str(sK5,X4)
| empty_carrier(sK5)
| ~ one_sorted_str(X4)
| empty_carrier(X4)
| ~ element(X5,the_carrier(sK5))
| apply_netmap(X4,sK5,sK13(X0,sK5,X1,X5)) = apply_on_structs(sK5,X4,the_mapping(X4,sK5),sK13(X0,sK5,X1,X5)) )
| ~ spl27_139
| ~ spl27_279 ),
inference(resolution,[],[f2233,f1026]) ).
fof(f1026,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sP0(X2,X1,X3)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ element(X4,the_carrier(X1))
| apply_netmap(X0,X1,sK13(X2,X1,X3,X4)) = apply_on_structs(X1,X0,the_mapping(X0,X1),sK13(X2,X1,X3,X4)) )
| ~ spl27_139 ),
inference(avatar_component_clause,[],[f1025]) ).
fof(f8959,plain,
( spl27_3
| spl27_823
| ~ spl27_224
| ~ spl27_269 ),
inference(avatar_split_clause,[],[f2157,f2153,f1687,f8957,f244]) ).
fof(f8957,plain,
( spl27_823
<=> ! [X4,X0,X3,X2,X1] :
( apply_netmap(sK4,sK5,sK14(X0,sK5,X1,sK17(the_carrier(sK5)))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X0,sK5,X1,sK17(the_carrier(sK5))))
| ~ net_str(sK5,X2)
| apply_netmap(X2,sK5,sK14(X3,sK5,X4,sK15(X0,sK5,X1))) = apply_on_structs(sK5,X2,the_mapping(X2,sK5),sK14(X3,sK5,X4,sK15(X0,sK5,X1)))
| sP2(X3,sK5,X4)
| ~ one_sorted_str(X2)
| empty_carrier(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_823])]) ).
fof(f2157,plain,
( ! [X2,X3,X0,X1,X4] :
( apply_netmap(sK4,sK5,sK14(X0,sK5,X1,sK17(the_carrier(sK5)))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X0,sK5,X1,sK17(the_carrier(sK5))))
| empty_carrier(sK5)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| sP2(X3,sK5,X4)
| apply_netmap(X2,sK5,sK14(X3,sK5,X4,sK15(X0,sK5,X1))) = apply_on_structs(sK5,X2,the_mapping(X2,sK5),sK14(X3,sK5,X4,sK15(X0,sK5,X1)))
| ~ net_str(sK5,X2) )
| ~ spl27_224
| ~ spl27_269 ),
inference(resolution,[],[f2154,f1688]) ).
fof(f8954,plain,
( spl27_822
| ~ spl27_23
| ~ spl27_330 ),
inference(avatar_split_clause,[],[f2876,f2848,f338,f8952]) ).
fof(f8952,plain,
( spl27_822
<=> ! [X0,X3,X2,X1] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ net_str(X2,X3)
| empty_carrier(X2)
| ~ one_sorted_str(X2)
| ~ net_str(sK5,X2)
| apply_netmap(X3,X2,apply_netmap(X2,sK5,sK13(X0,sK5,X1,sK17(the_carrier(sK5))))) = apply_on_structs(X2,X3,the_mapping(X3,X2),apply_netmap(X2,sK5,sK13(X0,sK5,X1,sK17(the_carrier(sK5)))))
| ~ one_sorted_str(X3)
| empty_carrier(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_822])]) ).
fof(f2876,plain,
( ! [X2,X3,X0,X1] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ net_str(X2,X3)
| empty_carrier(X2)
| ~ one_sorted_str(X2)
| ~ net_str(sK5,X2)
| apply_netmap(X3,X2,apply_netmap(X2,sK5,sK13(X0,sK5,X1,sK17(the_carrier(sK5))))) = apply_on_structs(X2,X3,the_mapping(X3,X2),apply_netmap(X2,sK5,sK13(X0,sK5,X1,sK17(the_carrier(sK5)))))
| ~ one_sorted_str(X3)
| empty_carrier(X3) )
| ~ spl27_23
| ~ spl27_330 ),
inference(resolution,[],[f2849,f339]) ).
fof(f8896,plain,
( spl27_821
| ~ spl27_23
| ~ spl27_328 ),
inference(avatar_split_clause,[],[f2836,f2802,f338,f8894]) ).
fof(f8894,plain,
( spl27_821
<=> ! [X4,X0,X3,X2,X1] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ net_str(sK5,X2)
| ~ one_sorted_str(X2)
| apply_netmap(X2,sK5,sK14(X3,sK5,X4,sK13(X0,sK5,X1,sK17(the_carrier(sK5))))) = apply_on_structs(sK5,X2,the_mapping(X2,sK5),sK14(X3,sK5,X4,sK13(X0,sK5,X1,sK17(the_carrier(sK5)))))
| sP2(X3,sK5,X4)
| empty_carrier(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_821])]) ).
fof(f2836,plain,
( ! [X2,X3,X0,X1,X4] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ net_str(sK5,X2)
| ~ one_sorted_str(X2)
| apply_netmap(X2,sK5,sK14(X3,sK5,X4,sK13(X0,sK5,X1,sK17(the_carrier(sK5))))) = apply_on_structs(sK5,X2,the_mapping(X2,sK5),sK14(X3,sK5,X4,sK13(X0,sK5,X1,sK17(the_carrier(sK5)))))
| sP2(X3,sK5,X4)
| empty_carrier(X2) )
| ~ spl27_23
| ~ spl27_328 ),
inference(resolution,[],[f2803,f339]) ).
fof(f8892,plain,
( spl27_820
| ~ spl27_23
| ~ spl27_327 ),
inference(avatar_split_clause,[],[f2790,f2762,f338,f8890]) ).
fof(f8890,plain,
( spl27_820
<=> ! [X2,X0,X1] :
( apply_netmap(X0,X1,apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,sK17(the_carrier(sK5))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,sK17(the_carrier(sK5)))))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(sK4,sK5,sK12(the_carrier(X1),sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X1),sK5,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_820])]) ).
fof(f2790,plain,
( ! [X2,X0,X1] :
( apply_netmap(X0,X1,apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,sK17(the_carrier(sK5))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X2,sK5,sK13(the_carrier(X1),sK5,X2,sK17(the_carrier(sK5)))))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(sK4,sK5,sK12(the_carrier(X1),sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X1),sK5,X2)) )
| ~ spl27_23
| ~ spl27_327 ),
inference(resolution,[],[f2763,f339]) ).
fof(f8888,plain,
( spl27_819
| ~ spl27_75
| ~ spl27_308 ),
inference(avatar_split_clause,[],[f2596,f2565,f615,f8886]) ).
fof(f8886,plain,
( spl27_819
<=> ! [X3,X4,X0,X5,X2,X1] :
( apply_netmap(X0,sK5,sK13(X1,sK5,X2,sK14(X3,sK5,X4,X5))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(X1,sK5,X2,sK14(X3,sK5,X4,X5)))
| apply_netmap(sK4,sK5,sK12(X1,sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X1,sK5,X2))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| sP2(X3,sK5,X4)
| ~ element(X5,the_carrier(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_819])]) ).
fof(f2596,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( apply_netmap(X0,sK5,sK13(X1,sK5,X2,sK14(X3,sK5,X4,X5))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(X1,sK5,X2,sK14(X3,sK5,X4,X5)))
| apply_netmap(sK4,sK5,sK12(X1,sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X1,sK5,X2))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| sP2(X3,sK5,X4)
| ~ element(X5,the_carrier(sK5)) )
| ~ spl27_75
| ~ spl27_308 ),
inference(resolution,[],[f2566,f616]) ).
fof(f8884,plain,
( spl27_818
| ~ spl27_73
| ~ spl27_308 ),
inference(avatar_split_clause,[],[f2595,f2565,f607,f8882]) ).
fof(f8882,plain,
( spl27_818
<=> ! [X3,X4,X0,X5,X2,X1] :
( apply_netmap(X0,sK5,sK13(X1,sK5,X2,sK13(X3,sK5,X4,X5))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(X1,sK5,X2,sK13(X3,sK5,X4,X5)))
| apply_netmap(sK4,sK5,sK12(X1,sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X1,sK5,X2))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ element(X5,the_carrier(sK5))
| ~ sP0(X3,sK5,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_818])]) ).
fof(f2595,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( apply_netmap(X0,sK5,sK13(X1,sK5,X2,sK13(X3,sK5,X4,X5))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(X1,sK5,X2,sK13(X3,sK5,X4,X5)))
| apply_netmap(sK4,sK5,sK12(X1,sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X1,sK5,X2))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ element(X5,the_carrier(sK5))
| ~ sP0(X3,sK5,X4) )
| ~ spl27_73
| ~ spl27_308 ),
inference(resolution,[],[f2566,f608]) ).
fof(f8565,plain,
( spl27_817
| ~ spl27_110
| ~ spl27_295 ),
inference(avatar_split_clause,[],[f2429,f2374,f839,f8563]) ).
fof(f8563,plain,
( spl27_817
<=> ! [X0] :
( empty(sK10(sK10(X0)))
| empty(sK10(X0))
| element(sK17(sK10(sK10(X0))),X0)
| empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_817])]) ).
fof(f2429,plain,
( ! [X0] :
( empty(sK10(sK10(X0)))
| empty(sK10(X0))
| element(sK17(sK10(sK10(X0))),X0)
| empty(X0) )
| ~ spl27_110
| ~ spl27_295 ),
inference(resolution,[],[f2375,f840]) ).
fof(f8561,plain,
( spl27_816
| ~ spl27_109
| ~ spl27_295 ),
inference(avatar_split_clause,[],[f2428,f2374,f835,f8559]) ).
fof(f8559,plain,
( spl27_816
<=> ! [X0] :
( empty(sK10(sK9(X0)))
| empty(sK9(X0))
| element(sK17(sK10(sK9(X0))),X0)
| empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_816])]) ).
fof(f2428,plain,
( ! [X0] :
( empty(sK10(sK9(X0)))
| empty(sK9(X0))
| element(sK17(sK10(sK9(X0))),X0)
| empty(X0) )
| ~ spl27_109
| ~ spl27_295 ),
inference(resolution,[],[f2375,f836]) ).
fof(f8557,plain,
( spl27_815
| ~ spl27_108
| ~ spl27_295 ),
inference(avatar_split_clause,[],[f2427,f2374,f831,f8555]) ).
fof(f8555,plain,
( spl27_815
<=> ! [X0] :
( empty(sK10(sK8(X0)))
| empty(sK8(X0))
| element(sK17(sK10(sK8(X0))),X0)
| empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_815])]) ).
fof(f2427,plain,
( ! [X0] :
( empty(sK10(sK8(X0)))
| empty(sK8(X0))
| element(sK17(sK10(sK8(X0))),X0)
| empty(X0) )
| ~ spl27_108
| ~ spl27_295 ),
inference(resolution,[],[f2375,f832]) ).
fof(f8553,plain,
( spl27_814
| ~ spl27_110
| ~ spl27_294 ),
inference(avatar_split_clause,[],[f2412,f2370,f839,f8551]) ).
fof(f8551,plain,
( spl27_814
<=> ! [X0] :
( empty(sK9(sK10(X0)))
| empty(sK10(X0))
| element(sK17(sK9(sK10(X0))),X0)
| empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_814])]) ).
fof(f2412,plain,
( ! [X0] :
( empty(sK9(sK10(X0)))
| empty(sK10(X0))
| element(sK17(sK9(sK10(X0))),X0)
| empty(X0) )
| ~ spl27_110
| ~ spl27_294 ),
inference(resolution,[],[f2371,f840]) ).
fof(f8549,plain,
( spl27_813
| ~ spl27_109
| ~ spl27_294 ),
inference(avatar_split_clause,[],[f2411,f2370,f835,f8547]) ).
fof(f8547,plain,
( spl27_813
<=> ! [X0] :
( empty(sK9(sK9(X0)))
| empty(sK9(X0))
| element(sK17(sK9(sK9(X0))),X0)
| empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_813])]) ).
fof(f2411,plain,
( ! [X0] :
( empty(sK9(sK9(X0)))
| empty(sK9(X0))
| element(sK17(sK9(sK9(X0))),X0)
| empty(X0) )
| ~ spl27_109
| ~ spl27_294 ),
inference(resolution,[],[f2371,f836]) ).
fof(f8545,plain,
( spl27_812
| ~ spl27_108
| ~ spl27_294 ),
inference(avatar_split_clause,[],[f2410,f2370,f831,f8543]) ).
fof(f8543,plain,
( spl27_812
<=> ! [X0] :
( empty(sK9(sK8(X0)))
| empty(sK8(X0))
| element(sK17(sK9(sK8(X0))),X0)
| empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_812])]) ).
fof(f2410,plain,
( ! [X0] :
( empty(sK9(sK8(X0)))
| empty(sK8(X0))
| element(sK17(sK9(sK8(X0))),X0)
| empty(X0) )
| ~ spl27_108
| ~ spl27_294 ),
inference(resolution,[],[f2371,f832]) ).
fof(f8541,plain,
( spl27_811
| ~ spl27_249
| ~ spl27_696
| ~ spl27_728 ),
inference(avatar_split_clause,[],[f7672,f7624,f7101,f2000,f8538]) ).
fof(f8538,plain,
( spl27_811
<=> apply_netmap(sK4,sK5,sK15(sK6,sK5,sK4)) = apply(the_mapping(sK4,sK5),sK15(sK6,sK5,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_811])]) ).
fof(f2000,plain,
( spl27_249
<=> apply_netmap(sK4,sK5,sK15(sK6,sK5,sK4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK15(sK6,sK5,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_249])]) ).
fof(f7624,plain,
( spl27_728
<=> element(sK15(sK6,sK5,sK4),the_carrier(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_728])]) ).
fof(f7672,plain,
( apply_netmap(sK4,sK5,sK15(sK6,sK5,sK4)) = apply(the_mapping(sK4,sK5),sK15(sK6,sK5,sK4))
| ~ spl27_249
| ~ spl27_696
| ~ spl27_728 ),
inference(forward_demodulation,[],[f7655,f2002]) ).
fof(f2002,plain,
( apply_netmap(sK4,sK5,sK15(sK6,sK5,sK4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK15(sK6,sK5,sK4))
| ~ spl27_249 ),
inference(avatar_component_clause,[],[f2000]) ).
fof(f7655,plain,
( apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK15(sK6,sK5,sK4)) = apply(the_mapping(sK4,sK5),sK15(sK6,sK5,sK4))
| ~ spl27_696
| ~ spl27_728 ),
inference(resolution,[],[f7625,f7102]) ).
fof(f7625,plain,
( element(sK15(sK6,sK5,sK4),the_carrier(sK5))
| ~ spl27_728 ),
inference(avatar_component_clause,[],[f7624]) ).
fof(f8536,plain,
( spl27_810
| ~ spl27_110
| ~ spl27_281 ),
inference(avatar_split_clause,[],[f2395,f2257,f839,f8534]) ).
fof(f8534,plain,
( spl27_810
<=> ! [X0] :
( empty(sK8(sK10(X0)))
| empty(sK10(X0))
| element(sK17(sK8(sK10(X0))),X0)
| empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_810])]) ).
fof(f2395,plain,
( ! [X0] :
( empty(sK8(sK10(X0)))
| empty(sK10(X0))
| element(sK17(sK8(sK10(X0))),X0)
| empty(X0) )
| ~ spl27_110
| ~ spl27_281 ),
inference(resolution,[],[f2258,f840]) ).
fof(f8532,plain,
( spl27_809
| ~ spl27_109
| ~ spl27_281 ),
inference(avatar_split_clause,[],[f2394,f2257,f835,f8530]) ).
fof(f8530,plain,
( spl27_809
<=> ! [X0] :
( empty(sK8(sK9(X0)))
| empty(sK9(X0))
| element(sK17(sK8(sK9(X0))),X0)
| empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_809])]) ).
fof(f2394,plain,
( ! [X0] :
( empty(sK8(sK9(X0)))
| empty(sK9(X0))
| element(sK17(sK8(sK9(X0))),X0)
| empty(X0) )
| ~ spl27_109
| ~ spl27_281 ),
inference(resolution,[],[f2258,f836]) ).
fof(f8528,plain,
( spl27_808
| ~ spl27_108
| ~ spl27_281 ),
inference(avatar_split_clause,[],[f2393,f2257,f831,f8526]) ).
fof(f8526,plain,
( spl27_808
<=> ! [X0] :
( empty(sK8(sK8(X0)))
| empty(sK8(X0))
| element(sK17(sK8(sK8(X0))),X0)
| empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_808])]) ).
fof(f2393,plain,
( ! [X0] :
( empty(sK8(sK8(X0)))
| empty(sK8(X0))
| element(sK17(sK8(sK8(X0))),X0)
| empty(X0) )
| ~ spl27_108
| ~ spl27_281 ),
inference(resolution,[],[f2258,f832]) ).
fof(f8523,plain,
( spl27_292
| spl27_807
| ~ spl27_163
| ~ spl27_308 ),
inference(avatar_split_clause,[],[f2603,f2565,f1242,f8521,f2354]) ).
fof(f8521,plain,
( spl27_807
<=> ! [X2,X0,X1] :
( apply_netmap(X0,sK5,sK13(X1,sK5,X2,sK17(sK17(powerset(the_carrier(sK5)))))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(X1,sK5,X2,sK17(sK17(powerset(the_carrier(sK5))))))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ net_str(sK5,X0)
| apply_netmap(sK4,sK5,sK12(X1,sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X1,sK5,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_807])]) ).
fof(f2603,plain,
( ! [X2,X0,X1] :
( apply_netmap(X0,sK5,sK13(X1,sK5,X2,sK17(sK17(powerset(the_carrier(sK5)))))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(X1,sK5,X2,sK17(sK17(powerset(the_carrier(sK5))))))
| apply_netmap(sK4,sK5,sK12(X1,sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X1,sK5,X2))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty(sK17(powerset(the_carrier(sK5)))) )
| ~ spl27_163
| ~ spl27_308 ),
inference(resolution,[],[f2566,f1243]) ).
fof(f8518,plain,
( spl27_686
| spl27_290
| spl27_806
| ~ spl27_166
| ~ spl27_308 ),
inference(avatar_split_clause,[],[f2602,f2565,f1254,f8516,f2337,f6939]) ).
fof(f8516,plain,
( spl27_806
<=> ! [X2,X0,X1] :
( apply_netmap(X0,sK5,sK13(X1,sK5,X2,sK17(sK10(the_carrier(sK5))))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(X1,sK5,X2,sK17(sK10(the_carrier(sK5)))))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ net_str(sK5,X0)
| apply_netmap(sK4,sK5,sK12(X1,sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X1,sK5,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_806])]) ).
fof(f2602,plain,
( ! [X2,X0,X1] :
( apply_netmap(X0,sK5,sK13(X1,sK5,X2,sK17(sK10(the_carrier(sK5))))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(X1,sK5,X2,sK17(sK10(the_carrier(sK5)))))
| apply_netmap(sK4,sK5,sK12(X1,sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X1,sK5,X2))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty(the_carrier(sK5))
| empty(sK10(the_carrier(sK5))) )
| ~ spl27_166
| ~ spl27_308 ),
inference(resolution,[],[f2566,f1255]) ).
fof(f8513,plain,
( spl27_679
| spl27_290
| spl27_805
| ~ spl27_165
| ~ spl27_308 ),
inference(avatar_split_clause,[],[f2601,f2565,f1250,f8511,f2337,f6880]) ).
fof(f8511,plain,
( spl27_805
<=> ! [X2,X0,X1] :
( apply_netmap(X0,sK5,sK13(X1,sK5,X2,sK17(sK9(the_carrier(sK5))))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(X1,sK5,X2,sK17(sK9(the_carrier(sK5)))))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ net_str(sK5,X0)
| apply_netmap(sK4,sK5,sK12(X1,sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X1,sK5,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_805])]) ).
fof(f2601,plain,
( ! [X2,X0,X1] :
( apply_netmap(X0,sK5,sK13(X1,sK5,X2,sK17(sK9(the_carrier(sK5))))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(X1,sK5,X2,sK17(sK9(the_carrier(sK5)))))
| apply_netmap(sK4,sK5,sK12(X1,sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X1,sK5,X2))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty(the_carrier(sK5))
| empty(sK9(the_carrier(sK5))) )
| ~ spl27_165
| ~ spl27_308 ),
inference(resolution,[],[f2566,f1251]) ).
fof(f8508,plain,
( spl27_804
| ~ spl27_211
| ~ spl27_696
| ~ spl27_725 ),
inference(avatar_split_clause,[],[f7590,f7551,f7101,f1589,f8505]) ).
fof(f8505,plain,
( spl27_804
<=> apply_netmap(sK4,sK5,sK12(sK6,sK5,sK4)) = apply(the_mapping(sK4,sK5),sK12(sK6,sK5,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_804])]) ).
fof(f1589,plain,
( spl27_211
<=> apply_netmap(sK4,sK5,sK12(sK6,sK5,sK4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK6,sK5,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_211])]) ).
fof(f7551,plain,
( spl27_725
<=> element(sK12(sK6,sK5,sK4),the_carrier(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_725])]) ).
fof(f7590,plain,
( apply_netmap(sK4,sK5,sK12(sK6,sK5,sK4)) = apply(the_mapping(sK4,sK5),sK12(sK6,sK5,sK4))
| ~ spl27_211
| ~ spl27_696
| ~ spl27_725 ),
inference(forward_demodulation,[],[f7573,f1591]) ).
fof(f1591,plain,
( apply_netmap(sK4,sK5,sK12(sK6,sK5,sK4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK6,sK5,sK4))
| ~ spl27_211 ),
inference(avatar_component_clause,[],[f1589]) ).
fof(f7573,plain,
( apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK6,sK5,sK4)) = apply(the_mapping(sK4,sK5),sK12(sK6,sK5,sK4))
| ~ spl27_696
| ~ spl27_725 ),
inference(resolution,[],[f7552,f7102]) ).
fof(f7552,plain,
( element(sK12(sK6,sK5,sK4),the_carrier(sK5))
| ~ spl27_725 ),
inference(avatar_component_clause,[],[f7551]) ).
fof(f8503,plain,
( spl27_289
| spl27_290
| spl27_803
| ~ spl27_164
| ~ spl27_308 ),
inference(avatar_split_clause,[],[f2600,f2565,f1246,f8501,f2337,f2333]) ).
fof(f8501,plain,
( spl27_803
<=> ! [X2,X0,X1] :
( apply_netmap(X0,sK5,sK13(X1,sK5,X2,sK17(sK8(the_carrier(sK5))))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(X1,sK5,X2,sK17(sK8(the_carrier(sK5)))))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ net_str(sK5,X0)
| apply_netmap(sK4,sK5,sK12(X1,sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X1,sK5,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_803])]) ).
fof(f2600,plain,
( ! [X2,X0,X1] :
( apply_netmap(X0,sK5,sK13(X1,sK5,X2,sK17(sK8(the_carrier(sK5))))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(X1,sK5,X2,sK17(sK8(the_carrier(sK5)))))
| apply_netmap(sK4,sK5,sK12(X1,sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X1,sK5,X2))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty(the_carrier(sK5))
| empty(sK8(the_carrier(sK5))) )
| ~ spl27_164
| ~ spl27_308 ),
inference(resolution,[],[f2566,f1247]) ).
fof(f8462,plain,
( spl27_292
| ~ spl27_2
| spl27_3
| spl27_1
| spl27_802
| ~ spl27_4
| ~ spl27_494 ),
inference(avatar_split_clause,[],[f5080,f5064,f249,f8460,f234,f244,f239,f2354]) ).
fof(f8460,plain,
( spl27_802
<=> ! [X0,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X1)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X1)
| ~ net_str(sK4,X1)
| apply_netmap(X0,X1,apply_netmap(X1,sK4,apply_netmap(sK4,sK5,sK17(sK17(powerset(the_carrier(sK5))))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,sK4,apply_netmap(sK4,sK5,sK17(sK17(powerset(the_carrier(sK5)))))))
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_802])]) ).
fof(f5064,plain,
( spl27_494
<=> ! [X0,X3,X2,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,sK17(sK17(powerset(the_carrier(X3))))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,sK17(sK17(powerset(the_carrier(X3)))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| empty(sK17(powerset(the_carrier(X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_494])]) ).
fof(f5080,plain,
( ! [X0,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,sK4,apply_netmap(sK4,sK5,sK17(sK17(powerset(the_carrier(sK5))))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,sK4,apply_netmap(sK4,sK5,sK17(sK17(powerset(the_carrier(sK5)))))))
| ~ net_str(sK4,X1)
| empty_carrier(sK4)
| ~ one_sorted_str(X1)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| empty_carrier(sK5)
| ~ one_sorted_str(sK4)
| empty(sK17(powerset(the_carrier(sK5)))) )
| ~ spl27_4
| ~ spl27_494 ),
inference(resolution,[],[f5065,f251]) ).
fof(f5065,plain,
( ! [X2,X3,X0,X1] :
( ~ net_str(X3,X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,sK17(sK17(powerset(the_carrier(X3))))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,sK17(sK17(powerset(the_carrier(X3)))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| empty_carrier(X0)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| empty(sK17(powerset(the_carrier(X3)))) )
| ~ spl27_494 ),
inference(avatar_component_clause,[],[f5064]) ).
fof(f8458,plain,
( spl27_686
| spl27_290
| ~ spl27_2
| spl27_3
| spl27_1
| spl27_801
| ~ spl27_4
| ~ spl27_493 ),
inference(avatar_split_clause,[],[f5077,f5060,f249,f8456,f234,f244,f239,f2337,f6939]) ).
fof(f8456,plain,
( spl27_801
<=> ! [X0,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X1)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X1)
| ~ net_str(sK4,X1)
| apply_netmap(X0,X1,apply_netmap(X1,sK4,apply_netmap(sK4,sK5,sK17(sK10(the_carrier(sK5)))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,sK4,apply_netmap(sK4,sK5,sK17(sK10(the_carrier(sK5))))))
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_801])]) ).
fof(f5060,plain,
( spl27_493
<=> ! [X0,X3,X2,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,sK17(sK10(the_carrier(X3)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,sK17(sK10(the_carrier(X3))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| empty(the_carrier(X3))
| empty(sK10(the_carrier(X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_493])]) ).
fof(f5077,plain,
( ! [X0,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,sK4,apply_netmap(sK4,sK5,sK17(sK10(the_carrier(sK5)))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,sK4,apply_netmap(sK4,sK5,sK17(sK10(the_carrier(sK5))))))
| ~ net_str(sK4,X1)
| empty_carrier(sK4)
| ~ one_sorted_str(X1)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| empty_carrier(sK5)
| ~ one_sorted_str(sK4)
| empty(the_carrier(sK5))
| empty(sK10(the_carrier(sK5))) )
| ~ spl27_4
| ~ spl27_493 ),
inference(resolution,[],[f5061,f251]) ).
fof(f5061,plain,
( ! [X2,X3,X0,X1] :
( ~ net_str(X3,X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,sK17(sK10(the_carrier(X3)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,sK17(sK10(the_carrier(X3))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| empty_carrier(X0)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| empty(the_carrier(X3))
| empty(sK10(the_carrier(X3))) )
| ~ spl27_493 ),
inference(avatar_component_clause,[],[f5060]) ).
fof(f8454,plain,
( spl27_679
| spl27_290
| ~ spl27_2
| spl27_3
| spl27_1
| spl27_800
| ~ spl27_4
| ~ spl27_492 ),
inference(avatar_split_clause,[],[f5074,f5056,f249,f8452,f234,f244,f239,f2337,f6880]) ).
fof(f8452,plain,
( spl27_800
<=> ! [X0,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X1)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X1)
| ~ net_str(sK4,X1)
| apply_netmap(X0,X1,apply_netmap(X1,sK4,apply_netmap(sK4,sK5,sK17(sK9(the_carrier(sK5)))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,sK4,apply_netmap(sK4,sK5,sK17(sK9(the_carrier(sK5))))))
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_800])]) ).
fof(f5056,plain,
( spl27_492
<=> ! [X0,X3,X2,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,sK17(sK9(the_carrier(X3)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,sK17(sK9(the_carrier(X3))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| empty(the_carrier(X3))
| empty(sK9(the_carrier(X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_492])]) ).
fof(f5074,plain,
( ! [X0,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,sK4,apply_netmap(sK4,sK5,sK17(sK9(the_carrier(sK5)))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,sK4,apply_netmap(sK4,sK5,sK17(sK9(the_carrier(sK5))))))
| ~ net_str(sK4,X1)
| empty_carrier(sK4)
| ~ one_sorted_str(X1)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| empty_carrier(sK5)
| ~ one_sorted_str(sK4)
| empty(the_carrier(sK5))
| empty(sK9(the_carrier(sK5))) )
| ~ spl27_4
| ~ spl27_492 ),
inference(resolution,[],[f5057,f251]) ).
fof(f5057,plain,
( ! [X2,X3,X0,X1] :
( ~ net_str(X3,X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,sK17(sK9(the_carrier(X3)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,sK17(sK9(the_carrier(X3))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| empty_carrier(X0)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| empty(the_carrier(X3))
| empty(sK9(the_carrier(X3))) )
| ~ spl27_492 ),
inference(avatar_component_clause,[],[f5056]) ).
fof(f8447,plain,
( spl27_289
| spl27_290
| ~ spl27_2
| spl27_3
| spl27_1
| spl27_799
| ~ spl27_4
| ~ spl27_491 ),
inference(avatar_split_clause,[],[f5071,f5052,f249,f8445,f234,f244,f239,f2337,f2333]) ).
fof(f8445,plain,
( spl27_799
<=> ! [X0,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X1)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X1)
| ~ net_str(sK4,X1)
| apply_netmap(X0,X1,apply_netmap(X1,sK4,apply_netmap(sK4,sK5,sK17(sK8(the_carrier(sK5)))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,sK4,apply_netmap(sK4,sK5,sK17(sK8(the_carrier(sK5))))))
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_799])]) ).
fof(f5052,plain,
( spl27_491
<=> ! [X0,X3,X2,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,sK17(sK8(the_carrier(X3)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,sK17(sK8(the_carrier(X3))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| empty(the_carrier(X3))
| empty(sK8(the_carrier(X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_491])]) ).
fof(f5071,plain,
( ! [X0,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,sK4,apply_netmap(sK4,sK5,sK17(sK8(the_carrier(sK5)))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,sK4,apply_netmap(sK4,sK5,sK17(sK8(the_carrier(sK5))))))
| ~ net_str(sK4,X1)
| empty_carrier(sK4)
| ~ one_sorted_str(X1)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| empty_carrier(sK5)
| ~ one_sorted_str(sK4)
| empty(the_carrier(sK5))
| empty(sK8(the_carrier(sK5))) )
| ~ spl27_4
| ~ spl27_491 ),
inference(resolution,[],[f5053,f251]) ).
fof(f5053,plain,
( ! [X2,X3,X0,X1] :
( ~ net_str(X3,X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,sK17(sK8(the_carrier(X3)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,sK17(sK8(the_carrier(X3))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| empty_carrier(X0)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| empty(the_carrier(X3))
| empty(sK8(the_carrier(X3))) )
| ~ spl27_491 ),
inference(avatar_component_clause,[],[f5052]) ).
fof(f8443,plain,
( spl27_1
| spl27_798
| ~ spl27_248
| ~ spl27_304 ),
inference(avatar_split_clause,[],[f2647,f2480,f1996,f8441,f234]) ).
fof(f8441,plain,
( spl27_798
<=> ! [X2,X0,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X2)
| ~ net_str(sK4,X2)
| ~ net_str(X0,X1)
| ~ one_sorted_str(X0)
| empty_carrier(X2)
| ~ net_str(X2,X0)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,sK4,apply_netmap(sK4,sK5,sK17(the_carrier(sK5)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,sK4,apply_netmap(sK4,sK5,sK17(the_carrier(sK5))))))
| ~ one_sorted_str(X1)
| empty_carrier(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_798])]) ).
fof(f1996,plain,
( spl27_248
<=> ! [X2,X4,X0,X3,X1] :
( ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,X4))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,X4)))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ element(X4,the_carrier(X3))
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_248])]) ).
fof(f2647,plain,
( ! [X2,X0,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,sK4,apply_netmap(sK4,sK5,sK17(the_carrier(sK5)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,sK4,apply_netmap(sK4,sK5,sK17(the_carrier(sK5))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(sK4,X2)
| empty_carrier(sK4)
| ~ one_sorted_str(X2) )
| ~ spl27_248
| ~ spl27_304 ),
inference(resolution,[],[f2482,f1997]) ).
fof(f1997,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ element(X4,the_carrier(X3))
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,X4))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,X4)))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2) )
| ~ spl27_248 ),
inference(avatar_component_clause,[],[f1996]) ).
fof(f8439,plain,
( spl27_797
| ~ spl27_155
| ~ spl27_297 ),
inference(avatar_split_clause,[],[f2492,f2443,f1177,f8437]) ).
fof(f8437,plain,
( spl27_797
<=> ! [X0,X3,X2,X1] :
( ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ element(X1,the_carrier(sK5))
| apply_netmap(X0,sK5,sK13(sK7,sK5,sK4,sK13(X2,sK5,X3,X1))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK7,sK5,sK4,sK13(X2,sK5,X3,X1)))
| apply_netmap(sK4,sK5,sK12(X2,sK5,X3)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X2,sK5,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_797])]) ).
fof(f2492,plain,
( ! [X2,X3,X0,X1] :
( ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ element(X1,the_carrier(sK5))
| apply_netmap(X0,sK5,sK13(sK7,sK5,sK4,sK13(X2,sK5,X3,X1))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK7,sK5,sK4,sK13(X2,sK5,X3,X1)))
| apply_netmap(sK4,sK5,sK12(X2,sK5,X3)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X2,sK5,X3)) )
| ~ spl27_155
| ~ spl27_297 ),
inference(resolution,[],[f2444,f1178]) ).
fof(f8435,plain,
( spl27_796
| ~ spl27_269
| ~ spl27_287 ),
inference(avatar_split_clause,[],[f2326,f2320,f2153,f8433]) ).
fof(f8433,plain,
( spl27_796
<=> ! [X2,X0,X1] :
( ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| apply_netmap(X0,sK5,sK13(sK7,sK5,sK4,sK15(X1,sK5,X2))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK7,sK5,sK4,sK15(X1,sK5,X2)))
| apply_netmap(sK4,sK5,sK14(X1,sK5,X2,sK17(the_carrier(sK5)))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X1,sK5,X2,sK17(the_carrier(sK5)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_796])]) ).
fof(f2326,plain,
( ! [X2,X0,X1] :
( ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| apply_netmap(X0,sK5,sK13(sK7,sK5,sK4,sK15(X1,sK5,X2))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK7,sK5,sK4,sK15(X1,sK5,X2)))
| apply_netmap(sK4,sK5,sK14(X1,sK5,X2,sK17(the_carrier(sK5)))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X1,sK5,X2,sK17(the_carrier(sK5)))) )
| ~ spl27_269
| ~ spl27_287 ),
inference(resolution,[],[f2321,f2154]) ).
fof(f8430,plain,
( spl27_3
| spl27_795
| ~ spl27_138
| ~ spl27_279 ),
inference(avatar_split_clause,[],[f2238,f2232,f1018,f8428,f244]) ).
fof(f8428,plain,
( spl27_795
<=> ! [X4,X0,X3,X2,X1] :
( sP0(X2,sK5,X3)
| apply_netmap(X4,sK5,sK15(X0,sK5,X1)) = apply_on_structs(sK5,X4,the_mapping(X4,sK5),sK15(X0,sK5,X1))
| ~ net_str(sK5,X4)
| empty_carrier(X4)
| ~ one_sorted_str(X4)
| apply_netmap(sK4,sK5,sK14(X0,sK5,X1,sK12(X2,sK5,X3))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X0,sK5,X1,sK12(X2,sK5,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_795])]) ).
fof(f2238,plain,
( ! [X2,X3,X0,X1,X4] :
( sP0(X2,sK5,X3)
| apply_netmap(sK4,sK5,sK14(X0,sK5,X1,sK12(X2,sK5,X3))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X0,sK5,X1,sK12(X2,sK5,X3)))
| ~ net_str(sK5,X4)
| empty_carrier(sK5)
| ~ one_sorted_str(X4)
| empty_carrier(X4)
| apply_netmap(X4,sK5,sK15(X0,sK5,X1)) = apply_on_structs(sK5,X4,the_mapping(X4,sK5),sK15(X0,sK5,X1)) )
| ~ spl27_138
| ~ spl27_279 ),
inference(resolution,[],[f2233,f1019]) ).
fof(f8396,plain,
( spl27_794
| spl27_316
| ~ spl27_50
| ~ spl27_729 ),
inference(avatar_split_clause,[],[f7688,f7628,f465,f2650,f8393]) ).
fof(f8393,plain,
( spl27_794
<=> in(apply_netmap(sK4,sK5,sK15(sK6,sK5,sK4)),the_carrier(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_794])]) ).
fof(f7628,plain,
( spl27_729
<=> element(apply_netmap(sK4,sK5,sK15(sK6,sK5,sK4)),the_carrier(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_729])]) ).
fof(f7688,plain,
( empty(the_carrier(sK4))
| in(apply_netmap(sK4,sK5,sK15(sK6,sK5,sK4)),the_carrier(sK4))
| ~ spl27_50
| ~ spl27_729 ),
inference(resolution,[],[f7630,f466]) ).
fof(f7630,plain,
( element(apply_netmap(sK4,sK5,sK15(sK6,sK5,sK4)),the_carrier(sK4))
| ~ spl27_729 ),
inference(avatar_component_clause,[],[f7628]) ).
fof(f8391,plain,
( spl27_793
| ~ spl27_95
| ~ spl27_323 ),
inference(avatar_split_clause,[],[f2752,f2695,f760,f8389]) ).
fof(f8389,plain,
( spl27_793
<=> ! [X0] :
( empty(sK10(powerset(X0)))
| ~ empty(X0)
| empty(powerset(X0))
| empty(sK17(sK10(powerset(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_793])]) ).
fof(f2752,plain,
( ! [X0] :
( empty(sK10(powerset(X0)))
| ~ empty(X0)
| empty(powerset(X0))
| empty(sK17(sK10(powerset(X0)))) )
| ~ spl27_95
| ~ spl27_323 ),
inference(resolution,[],[f2696,f761]) ).
fof(f8387,plain,
( spl27_792
| ~ spl27_95
| ~ spl27_322 ),
inference(avatar_split_clause,[],[f2744,f2691,f760,f8385]) ).
fof(f8385,plain,
( spl27_792
<=> ! [X0] :
( empty(sK9(powerset(X0)))
| ~ empty(X0)
| empty(powerset(X0))
| empty(sK17(sK9(powerset(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_792])]) ).
fof(f2744,plain,
( ! [X0] :
( empty(sK9(powerset(X0)))
| ~ empty(X0)
| empty(powerset(X0))
| empty(sK17(sK9(powerset(X0)))) )
| ~ spl27_95
| ~ spl27_322 ),
inference(resolution,[],[f2692,f761]) ).
fof(f8383,plain,
( spl27_791
| ~ spl27_95
| ~ spl27_321 ),
inference(avatar_split_clause,[],[f2736,f2687,f760,f8381]) ).
fof(f8381,plain,
( spl27_791
<=> ! [X0] :
( empty(sK8(powerset(X0)))
| ~ empty(X0)
| empty(powerset(X0))
| empty(sK17(sK8(powerset(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_791])]) ).
fof(f2736,plain,
( ! [X0] :
( empty(sK8(powerset(X0)))
| ~ empty(X0)
| empty(powerset(X0))
| empty(sK17(sK8(powerset(X0)))) )
| ~ spl27_95
| ~ spl27_321 ),
inference(resolution,[],[f2688,f761]) ).
fof(f8378,plain,
( spl27_292
| ~ spl27_2
| spl27_3
| spl27_1
| spl27_790
| ~ spl27_4
| ~ spl27_488 ),
inference(avatar_split_clause,[],[f5044,f5015,f249,f8376,f234,f244,f239,f2354]) ).
fof(f8376,plain,
( spl27_790
<=> ! [X2,X0,X1] :
( ~ one_sorted_str(X0)
| ~ net_str(sK4,X0)
| sP2(X1,sK5,X2)
| apply_netmap(X0,sK4,apply_netmap(sK4,sK5,sK14(X1,sK5,X2,sK17(sK17(powerset(the_carrier(sK5))))))) = apply_on_structs(sK4,X0,the_mapping(X0,sK4),apply_netmap(sK4,sK5,sK14(X1,sK5,X2,sK17(sK17(powerset(the_carrier(sK5)))))))
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_790])]) ).
fof(f5015,plain,
( spl27_488
<=> ! [X4,X0,X3,X2,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,sK17(sK17(powerset(the_carrier(X2))))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,sK17(sK17(powerset(the_carrier(X2)))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| empty(sK17(powerset(the_carrier(X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_488])]) ).
fof(f5044,plain,
( ! [X2,X0,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,sK4,apply_netmap(sK4,sK5,sK14(X1,sK5,X2,sK17(sK17(powerset(the_carrier(sK5))))))) = apply_on_structs(sK4,X0,the_mapping(X0,sK4),apply_netmap(sK4,sK5,sK14(X1,sK5,X2,sK17(sK17(powerset(the_carrier(sK5)))))))
| empty_carrier(sK4)
| empty_carrier(sK5)
| ~ one_sorted_str(sK4)
| sP2(X1,sK5,X2)
| ~ net_str(sK4,X0)
| empty(sK17(powerset(the_carrier(sK5)))) )
| ~ spl27_4
| ~ spl27_488 ),
inference(resolution,[],[f5016,f251]) ).
fof(f5016,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ net_str(X2,X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,sK17(sK17(powerset(the_carrier(X2))))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,sK17(sK17(powerset(the_carrier(X2)))))))
| empty_carrier(X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| empty(sK17(powerset(the_carrier(X2)))) )
| ~ spl27_488 ),
inference(avatar_component_clause,[],[f5015]) ).
fof(f8374,plain,
( spl27_686
| spl27_290
| ~ spl27_2
| spl27_3
| spl27_1
| spl27_789
| ~ spl27_4
| ~ spl27_487 ),
inference(avatar_split_clause,[],[f5041,f5011,f249,f8372,f234,f244,f239,f2337,f6939]) ).
fof(f8372,plain,
( spl27_789
<=> ! [X2,X0,X1] :
( ~ one_sorted_str(X0)
| ~ net_str(sK4,X0)
| sP2(X1,sK5,X2)
| apply_netmap(X0,sK4,apply_netmap(sK4,sK5,sK14(X1,sK5,X2,sK17(sK10(the_carrier(sK5)))))) = apply_on_structs(sK4,X0,the_mapping(X0,sK4),apply_netmap(sK4,sK5,sK14(X1,sK5,X2,sK17(sK10(the_carrier(sK5))))))
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_789])]) ).
fof(f5011,plain,
( spl27_487
<=> ! [X4,X0,X3,X2,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,sK17(sK10(the_carrier(X2)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,sK17(sK10(the_carrier(X2))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| empty(the_carrier(X2))
| empty(sK10(the_carrier(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_487])]) ).
fof(f5041,plain,
( ! [X2,X0,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,sK4,apply_netmap(sK4,sK5,sK14(X1,sK5,X2,sK17(sK10(the_carrier(sK5)))))) = apply_on_structs(sK4,X0,the_mapping(X0,sK4),apply_netmap(sK4,sK5,sK14(X1,sK5,X2,sK17(sK10(the_carrier(sK5))))))
| empty_carrier(sK4)
| empty_carrier(sK5)
| ~ one_sorted_str(sK4)
| sP2(X1,sK5,X2)
| ~ net_str(sK4,X0)
| empty(the_carrier(sK5))
| empty(sK10(the_carrier(sK5))) )
| ~ spl27_4
| ~ spl27_487 ),
inference(resolution,[],[f5012,f251]) ).
fof(f5012,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ net_str(X2,X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,sK17(sK10(the_carrier(X2)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,sK17(sK10(the_carrier(X2))))))
| empty_carrier(X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| empty(the_carrier(X2))
| empty(sK10(the_carrier(X2))) )
| ~ spl27_487 ),
inference(avatar_component_clause,[],[f5011]) ).
fof(f8370,plain,
( spl27_679
| spl27_290
| ~ spl27_2
| spl27_3
| spl27_1
| spl27_788
| ~ spl27_4
| ~ spl27_486 ),
inference(avatar_split_clause,[],[f5038,f5007,f249,f8368,f234,f244,f239,f2337,f6880]) ).
fof(f8368,plain,
( spl27_788
<=> ! [X2,X0,X1] :
( ~ one_sorted_str(X0)
| ~ net_str(sK4,X0)
| sP2(X1,sK5,X2)
| apply_netmap(X0,sK4,apply_netmap(sK4,sK5,sK14(X1,sK5,X2,sK17(sK9(the_carrier(sK5)))))) = apply_on_structs(sK4,X0,the_mapping(X0,sK4),apply_netmap(sK4,sK5,sK14(X1,sK5,X2,sK17(sK9(the_carrier(sK5))))))
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_788])]) ).
fof(f5007,plain,
( spl27_486
<=> ! [X4,X0,X3,X2,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,sK17(sK9(the_carrier(X2)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,sK17(sK9(the_carrier(X2))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| empty(the_carrier(X2))
| empty(sK9(the_carrier(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_486])]) ).
fof(f5038,plain,
( ! [X2,X0,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,sK4,apply_netmap(sK4,sK5,sK14(X1,sK5,X2,sK17(sK9(the_carrier(sK5)))))) = apply_on_structs(sK4,X0,the_mapping(X0,sK4),apply_netmap(sK4,sK5,sK14(X1,sK5,X2,sK17(sK9(the_carrier(sK5))))))
| empty_carrier(sK4)
| empty_carrier(sK5)
| ~ one_sorted_str(sK4)
| sP2(X1,sK5,X2)
| ~ net_str(sK4,X0)
| empty(the_carrier(sK5))
| empty(sK9(the_carrier(sK5))) )
| ~ spl27_4
| ~ spl27_486 ),
inference(resolution,[],[f5008,f251]) ).
fof(f5008,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ net_str(X2,X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,sK17(sK9(the_carrier(X2)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,sK17(sK9(the_carrier(X2))))))
| empty_carrier(X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| empty(the_carrier(X2))
| empty(sK9(the_carrier(X2))) )
| ~ spl27_486 ),
inference(avatar_component_clause,[],[f5007]) ).
fof(f8363,plain,
( spl27_289
| spl27_290
| ~ spl27_2
| spl27_3
| spl27_1
| spl27_787
| ~ spl27_4
| ~ spl27_485 ),
inference(avatar_split_clause,[],[f5035,f5003,f249,f8361,f234,f244,f239,f2337,f2333]) ).
fof(f8361,plain,
( spl27_787
<=> ! [X2,X0,X1] :
( ~ one_sorted_str(X0)
| ~ net_str(sK4,X0)
| sP2(X1,sK5,X2)
| apply_netmap(X0,sK4,apply_netmap(sK4,sK5,sK14(X1,sK5,X2,sK17(sK8(the_carrier(sK5)))))) = apply_on_structs(sK4,X0,the_mapping(X0,sK4),apply_netmap(sK4,sK5,sK14(X1,sK5,X2,sK17(sK8(the_carrier(sK5))))))
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_787])]) ).
fof(f5003,plain,
( spl27_485
<=> ! [X4,X0,X3,X2,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,sK17(sK8(the_carrier(X2)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,sK17(sK8(the_carrier(X2))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| empty(the_carrier(X2))
| empty(sK8(the_carrier(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_485])]) ).
fof(f5035,plain,
( ! [X2,X0,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,sK4,apply_netmap(sK4,sK5,sK14(X1,sK5,X2,sK17(sK8(the_carrier(sK5)))))) = apply_on_structs(sK4,X0,the_mapping(X0,sK4),apply_netmap(sK4,sK5,sK14(X1,sK5,X2,sK17(sK8(the_carrier(sK5))))))
| empty_carrier(sK4)
| empty_carrier(sK5)
| ~ one_sorted_str(sK4)
| sP2(X1,sK5,X2)
| ~ net_str(sK4,X0)
| empty(the_carrier(sK5))
| empty(sK8(the_carrier(sK5))) )
| ~ spl27_4
| ~ spl27_485 ),
inference(resolution,[],[f5004,f251]) ).
fof(f5004,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ net_str(X2,X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,sK17(sK8(the_carrier(X2)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,sK17(sK8(the_carrier(X2))))))
| empty_carrier(X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| empty(the_carrier(X2))
| empty(sK8(the_carrier(X2))) )
| ~ spl27_485 ),
inference(avatar_component_clause,[],[f5003]) ).
fof(f8359,plain,
( spl27_292
| ~ spl27_2
| spl27_3
| spl27_1
| spl27_786
| ~ spl27_4
| ~ spl27_484 ),
inference(avatar_split_clause,[],[f5032,f4999,f249,f8357,f234,f244,f239,f2354]) ).
fof(f8357,plain,
( spl27_786
<=> ! [X2,X0,X1] :
( ~ one_sorted_str(X0)
| ~ net_str(sK4,X0)
| apply_netmap(X0,sK4,sK14(X1,sK4,X2,apply_netmap(sK4,sK5,sK17(sK17(powerset(the_carrier(sK5))))))) = apply_on_structs(sK4,X0,the_mapping(X0,sK4),sK14(X1,sK4,X2,apply_netmap(sK4,sK5,sK17(sK17(powerset(the_carrier(sK5)))))))
| sP2(X1,sK4,X2)
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_786])]) ).
fof(f4999,plain,
( spl27_484
<=> ! [X4,X0,X3,X2,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,sK17(sK17(powerset(the_carrier(X4))))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,sK17(sK17(powerset(the_carrier(X4)))))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| empty(sK17(powerset(the_carrier(X4)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_484])]) ).
fof(f5032,plain,
( ! [X2,X0,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,sK4,X2)
| apply_netmap(X0,sK4,sK14(X1,sK4,X2,apply_netmap(sK4,sK5,sK17(sK17(powerset(the_carrier(sK5))))))) = apply_on_structs(sK4,X0,the_mapping(X0,sK4),sK14(X1,sK4,X2,apply_netmap(sK4,sK5,sK17(sK17(powerset(the_carrier(sK5)))))))
| ~ net_str(sK4,X0)
| empty_carrier(sK4)
| empty_carrier(sK5)
| ~ one_sorted_str(sK4)
| empty(sK17(powerset(the_carrier(sK5)))) )
| ~ spl27_4
| ~ spl27_484 ),
inference(resolution,[],[f5000,f251]) ).
fof(f5000,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ net_str(X4,X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,sK17(sK17(powerset(the_carrier(X4))))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,sK17(sK17(powerset(the_carrier(X4)))))))
| ~ net_str(X0,X1)
| empty_carrier(X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| empty(sK17(powerset(the_carrier(X4)))) )
| ~ spl27_484 ),
inference(avatar_component_clause,[],[f4999]) ).
fof(f8355,plain,
( spl27_686
| spl27_290
| ~ spl27_2
| spl27_3
| spl27_1
| spl27_785
| ~ spl27_4
| ~ spl27_483 ),
inference(avatar_split_clause,[],[f5024,f4995,f249,f8353,f234,f244,f239,f2337,f6939]) ).
fof(f8353,plain,
( spl27_785
<=> ! [X2,X0,X1] :
( ~ one_sorted_str(X0)
| ~ net_str(sK4,X0)
| apply_netmap(X0,sK4,sK14(X1,sK4,X2,apply_netmap(sK4,sK5,sK17(sK10(the_carrier(sK5)))))) = apply_on_structs(sK4,X0,the_mapping(X0,sK4),sK14(X1,sK4,X2,apply_netmap(sK4,sK5,sK17(sK10(the_carrier(sK5))))))
| sP2(X1,sK4,X2)
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_785])]) ).
fof(f4995,plain,
( spl27_483
<=> ! [X4,X0,X3,X2,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,sK17(sK10(the_carrier(X4)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,sK17(sK10(the_carrier(X4))))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| empty(the_carrier(X4))
| empty(sK10(the_carrier(X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_483])]) ).
fof(f5024,plain,
( ! [X2,X0,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,sK4,X2)
| apply_netmap(X0,sK4,sK14(X1,sK4,X2,apply_netmap(sK4,sK5,sK17(sK10(the_carrier(sK5)))))) = apply_on_structs(sK4,X0,the_mapping(X0,sK4),sK14(X1,sK4,X2,apply_netmap(sK4,sK5,sK17(sK10(the_carrier(sK5))))))
| ~ net_str(sK4,X0)
| empty_carrier(sK4)
| empty_carrier(sK5)
| ~ one_sorted_str(sK4)
| empty(the_carrier(sK5))
| empty(sK10(the_carrier(sK5))) )
| ~ spl27_4
| ~ spl27_483 ),
inference(resolution,[],[f4996,f251]) ).
fof(f4996,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ net_str(X4,X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,sK17(sK10(the_carrier(X4)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,sK17(sK10(the_carrier(X4))))))
| ~ net_str(X0,X1)
| empty_carrier(X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| empty(the_carrier(X4))
| empty(sK10(the_carrier(X4))) )
| ~ spl27_483 ),
inference(avatar_component_clause,[],[f4995]) ).
fof(f8351,plain,
( spl27_679
| spl27_290
| ~ spl27_2
| spl27_3
| spl27_1
| spl27_784
| ~ spl27_4
| ~ spl27_482 ),
inference(avatar_split_clause,[],[f5021,f4991,f249,f8349,f234,f244,f239,f2337,f6880]) ).
fof(f8349,plain,
( spl27_784
<=> ! [X2,X0,X1] :
( ~ one_sorted_str(X0)
| ~ net_str(sK4,X0)
| apply_netmap(X0,sK4,sK14(X1,sK4,X2,apply_netmap(sK4,sK5,sK17(sK9(the_carrier(sK5)))))) = apply_on_structs(sK4,X0,the_mapping(X0,sK4),sK14(X1,sK4,X2,apply_netmap(sK4,sK5,sK17(sK9(the_carrier(sK5))))))
| sP2(X1,sK4,X2)
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_784])]) ).
fof(f4991,plain,
( spl27_482
<=> ! [X4,X0,X3,X2,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,sK17(sK9(the_carrier(X4)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,sK17(sK9(the_carrier(X4))))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| empty(the_carrier(X4))
| empty(sK9(the_carrier(X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_482])]) ).
fof(f5021,plain,
( ! [X2,X0,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,sK4,X2)
| apply_netmap(X0,sK4,sK14(X1,sK4,X2,apply_netmap(sK4,sK5,sK17(sK9(the_carrier(sK5)))))) = apply_on_structs(sK4,X0,the_mapping(X0,sK4),sK14(X1,sK4,X2,apply_netmap(sK4,sK5,sK17(sK9(the_carrier(sK5))))))
| ~ net_str(sK4,X0)
| empty_carrier(sK4)
| empty_carrier(sK5)
| ~ one_sorted_str(sK4)
| empty(the_carrier(sK5))
| empty(sK9(the_carrier(sK5))) )
| ~ spl27_4
| ~ spl27_482 ),
inference(resolution,[],[f4992,f251]) ).
fof(f4992,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ net_str(X4,X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,sK17(sK9(the_carrier(X4)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,sK17(sK9(the_carrier(X4))))))
| ~ net_str(X0,X1)
| empty_carrier(X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| empty(the_carrier(X4))
| empty(sK9(the_carrier(X4))) )
| ~ spl27_482 ),
inference(avatar_component_clause,[],[f4991]) ).
fof(f8347,plain,
( spl27_289
| spl27_290
| ~ spl27_2
| spl27_3
| spl27_1
| spl27_783
| ~ spl27_4
| ~ spl27_481 ),
inference(avatar_split_clause,[],[f5018,f4984,f249,f8345,f234,f244,f239,f2337,f2333]) ).
fof(f8345,plain,
( spl27_783
<=> ! [X2,X0,X1] :
( ~ one_sorted_str(X0)
| ~ net_str(sK4,X0)
| apply_netmap(X0,sK4,sK14(X1,sK4,X2,apply_netmap(sK4,sK5,sK17(sK8(the_carrier(sK5)))))) = apply_on_structs(sK4,X0,the_mapping(X0,sK4),sK14(X1,sK4,X2,apply_netmap(sK4,sK5,sK17(sK8(the_carrier(sK5))))))
| sP2(X1,sK4,X2)
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_783])]) ).
fof(f4984,plain,
( spl27_481
<=> ! [X4,X0,X3,X2,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,sK17(sK8(the_carrier(X4)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,sK17(sK8(the_carrier(X4))))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| empty(the_carrier(X4))
| empty(sK8(the_carrier(X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_481])]) ).
fof(f5018,plain,
( ! [X2,X0,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,sK4,X2)
| apply_netmap(X0,sK4,sK14(X1,sK4,X2,apply_netmap(sK4,sK5,sK17(sK8(the_carrier(sK5)))))) = apply_on_structs(sK4,X0,the_mapping(X0,sK4),sK14(X1,sK4,X2,apply_netmap(sK4,sK5,sK17(sK8(the_carrier(sK5))))))
| ~ net_str(sK4,X0)
| empty_carrier(sK4)
| empty_carrier(sK5)
| ~ one_sorted_str(sK4)
| empty(the_carrier(sK5))
| empty(sK8(the_carrier(sK5))) )
| ~ spl27_4
| ~ spl27_481 ),
inference(resolution,[],[f4985,f251]) ).
fof(f4985,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ net_str(X4,X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,sK17(sK8(the_carrier(X4)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,sK17(sK8(the_carrier(X4))))))
| ~ net_str(X0,X1)
| empty_carrier(X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| empty(the_carrier(X4))
| empty(sK8(the_carrier(X4))) )
| ~ spl27_481 ),
inference(avatar_component_clause,[],[f4984]) ).
fof(f8343,plain,
( spl27_782
| spl27_316
| ~ spl27_50
| ~ spl27_726 ),
inference(avatar_split_clause,[],[f7606,f7555,f465,f2650,f8340]) ).
fof(f8340,plain,
( spl27_782
<=> in(apply_netmap(sK4,sK5,sK12(sK6,sK5,sK4)),the_carrier(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_782])]) ).
fof(f7555,plain,
( spl27_726
<=> element(apply_netmap(sK4,sK5,sK12(sK6,sK5,sK4)),the_carrier(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_726])]) ).
fof(f7606,plain,
( empty(the_carrier(sK4))
| in(apply_netmap(sK4,sK5,sK12(sK6,sK5,sK4)),the_carrier(sK4))
| ~ spl27_50
| ~ spl27_726 ),
inference(resolution,[],[f7557,f466]) ).
fof(f7557,plain,
( element(apply_netmap(sK4,sK5,sK12(sK6,sK5,sK4)),the_carrier(sK4))
| ~ spl27_726 ),
inference(avatar_component_clause,[],[f7555]) ).
fof(f8338,plain,
( spl27_1
| spl27_781
| ~ spl27_247
| ~ spl27_304 ),
inference(avatar_split_clause,[],[f2646,f2480,f1917,f8336,f234]) ).
fof(f8336,plain,
( spl27_781
<=> ! [X0,X3,X2,X1] :
( empty_carrier(X0)
| ~ net_str(X0,X1)
| sP2(X2,sK4,X3)
| ~ one_sorted_str(X0)
| ~ net_str(sK4,X0)
| apply_netmap(X1,X0,apply_netmap(X0,sK4,sK14(X2,sK4,X3,apply_netmap(sK4,sK5,sK17(the_carrier(sK5)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,sK4,sK14(X2,sK4,X3,apply_netmap(sK4,sK5,sK17(the_carrier(sK5))))))
| ~ one_sorted_str(X1)
| empty_carrier(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_781])]) ).
fof(f1917,plain,
( spl27_247
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,X5))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,X5)))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ element(X5,the_carrier(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_247])]) ).
fof(f2646,plain,
( ! [X2,X3,X0,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,sK4,sK14(X2,sK4,X3,apply_netmap(sK4,sK5,sK17(the_carrier(sK5)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,sK4,sK14(X2,sK4,X3,apply_netmap(sK4,sK5,sK17(the_carrier(sK5))))))
| ~ net_str(sK4,X0)
| empty_carrier(sK4)
| ~ one_sorted_str(X0)
| sP2(X2,sK4,X3)
| ~ net_str(X0,X1) )
| ~ spl27_247
| ~ spl27_304 ),
inference(resolution,[],[f2482,f1918]) ).
fof(f1918,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ element(X5,the_carrier(X2))
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,X5))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,X5)))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1) )
| ~ spl27_247 ),
inference(avatar_component_clause,[],[f1917]) ).
fof(f8334,plain,
( spl27_1
| spl27_780
| ~ spl27_245
| ~ spl27_304 ),
inference(avatar_split_clause,[],[f2645,f2480,f1909,f8332,f234]) ).
fof(f8332,plain,
( spl27_780
<=> ! [X0,X3,X2,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ net_str(sK4,X0)
| ~ net_str(X0,X1)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,sK4,apply_netmap(sK4,sK5,sK17(the_carrier(sK5)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,sK4,apply_netmap(sK4,sK5,sK17(the_carrier(sK5))))))
| sP2(X2,X0,X3)
| ~ one_sorted_str(X1)
| empty_carrier(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_780])]) ).
fof(f1909,plain,
( spl27_245
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,X5))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,X5)))
| ~ element(X5,the_carrier(X4))
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_245])]) ).
fof(f2645,plain,
( ! [X2,X3,X0,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,sK4,apply_netmap(sK4,sK5,sK17(the_carrier(sK5)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,sK4,apply_netmap(sK4,sK5,sK17(the_carrier(sK5))))))
| ~ net_str(X0,X1)
| ~ net_str(sK4,X0)
| empty_carrier(sK4)
| ~ one_sorted_str(X0) )
| ~ spl27_245
| ~ spl27_304 ),
inference(resolution,[],[f2482,f1910]) ).
fof(f1910,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ element(X5,the_carrier(X4))
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,X5))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,X5)))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0) )
| ~ spl27_245 ),
inference(avatar_component_clause,[],[f1909]) ).
fof(f8329,plain,
( spl27_275
| spl27_3
| ~ spl27_59
| spl27_779
| ~ spl27_174
| ~ spl27_308 ),
inference(avatar_split_clause,[],[f2598,f2565,f1340,f8327,f524,f244,f2202]) ).
fof(f8327,plain,
( spl27_779
<=> ! [X2,X0,X1] :
( apply_netmap(X0,sK5,sK13(X1,sK5,X2,sK17(sK16(sK5)))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(X1,sK5,X2,sK17(sK16(sK5))))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ net_str(sK5,X0)
| apply_netmap(sK4,sK5,sK12(X1,sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X1,sK5,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_779])]) ).
fof(f2598,plain,
( ! [X2,X0,X1] :
( apply_netmap(X0,sK5,sK13(X1,sK5,X2,sK17(sK16(sK5)))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(X1,sK5,X2,sK17(sK16(sK5))))
| apply_netmap(sK4,sK5,sK12(X1,sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X1,sK5,X2))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ one_sorted_str(sK5)
| empty_carrier(sK5)
| empty(sK16(sK5)) )
| ~ spl27_174
| ~ spl27_308 ),
inference(resolution,[],[f2566,f1341]) ).
fof(f8325,plain,
( spl27_778
| ~ spl27_155
| ~ spl27_298 ),
inference(avatar_split_clause,[],[f2452,f2448,f1177,f8323]) ).
fof(f8323,plain,
( spl27_778
<=> ! [X0,X3,X2,X1] :
( apply_netmap(X0,sK5,sK13(sK7,sK5,sK4,sK13(X1,sK5,X2,X3))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK7,sK5,sK4,sK13(X1,sK5,X2,X3)))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ element(X3,sK24)
| apply_netmap(sK4,sK5,sK12(X1,sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X1,sK5,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_778])]) ).
fof(f2452,plain,
( ! [X2,X3,X0,X1] :
( apply_netmap(X0,sK5,sK13(sK7,sK5,sK4,sK13(X1,sK5,X2,X3))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK7,sK5,sK4,sK13(X1,sK5,X2,X3)))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ element(X3,sK24)
| apply_netmap(sK4,sK5,sK12(X1,sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X1,sK5,X2)) )
| ~ spl27_155
| ~ spl27_298 ),
inference(resolution,[],[f2449,f1178]) ).
fof(f8262,plain,
( spl27_292
| spl27_3
| spl27_777
| spl27_1
| ~ spl27_2
| ~ spl27_4
| ~ spl27_480 ),
inference(avatar_split_clause,[],[f4980,f4968,f249,f239,f234,f8260,f244,f2354]) ).
fof(f8260,plain,
( spl27_777
<=> ! [X0,X3,X2,X1] :
( sP2(X0,sK5,X1)
| sP2(X2,sK5,X3)
| apply_netmap(sK4,sK5,sK14(X0,sK5,X1,sK14(X2,sK5,X3,sK17(sK17(powerset(the_carrier(sK5))))))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X0,sK5,X1,sK14(X2,sK5,X3,sK17(sK17(powerset(the_carrier(sK5))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_777])]) ).
fof(f4968,plain,
( spl27_480
<=> ! [X5,X4,X0,X3,X2,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,sK17(sK17(powerset(the_carrier(X0))))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,sK17(sK17(powerset(the_carrier(X0)))))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| empty(sK17(powerset(the_carrier(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_480])]) ).
fof(f4980,plain,
( ! [X2,X3,X0,X1] :
( ~ one_sorted_str(sK4)
| empty_carrier(sK4)
| sP2(X0,sK5,X1)
| apply_netmap(sK4,sK5,sK14(X0,sK5,X1,sK14(X2,sK5,X3,sK17(sK17(powerset(the_carrier(sK5))))))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X0,sK5,X1,sK14(X2,sK5,X3,sK17(sK17(powerset(the_carrier(sK5)))))))
| sP2(X2,sK5,X3)
| empty_carrier(sK5)
| empty(sK17(powerset(the_carrier(sK5)))) )
| ~ spl27_4
| ~ spl27_480 ),
inference(resolution,[],[f4969,f251]) ).
fof(f4969,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ net_str(X0,X1)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,sK17(sK17(powerset(the_carrier(X0))))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,sK17(sK17(powerset(the_carrier(X0)))))))
| sP2(X4,X0,X5)
| empty_carrier(X0)
| empty(sK17(powerset(the_carrier(X0)))) )
| ~ spl27_480 ),
inference(avatar_component_clause,[],[f4968]) ).
fof(f8225,plain,
( spl27_686
| spl27_290
| spl27_3
| spl27_776
| spl27_1
| ~ spl27_2
| ~ spl27_4
| ~ spl27_479 ),
inference(avatar_split_clause,[],[f4977,f4964,f249,f239,f234,f8223,f244,f2337,f6939]) ).
fof(f8223,plain,
( spl27_776
<=> ! [X0,X3,X2,X1] :
( sP2(X0,sK5,X1)
| sP2(X2,sK5,X3)
| apply_netmap(sK4,sK5,sK14(X0,sK5,X1,sK14(X2,sK5,X3,sK17(sK10(the_carrier(sK5)))))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X0,sK5,X1,sK14(X2,sK5,X3,sK17(sK10(the_carrier(sK5)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_776])]) ).
fof(f4964,plain,
( spl27_479
<=> ! [X5,X4,X0,X3,X2,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,sK17(sK10(the_carrier(X0)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,sK17(sK10(the_carrier(X0))))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| empty(the_carrier(X0))
| empty(sK10(the_carrier(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_479])]) ).
fof(f4977,plain,
( ! [X2,X3,X0,X1] :
( ~ one_sorted_str(sK4)
| empty_carrier(sK4)
| sP2(X0,sK5,X1)
| apply_netmap(sK4,sK5,sK14(X0,sK5,X1,sK14(X2,sK5,X3,sK17(sK10(the_carrier(sK5)))))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X0,sK5,X1,sK14(X2,sK5,X3,sK17(sK10(the_carrier(sK5))))))
| sP2(X2,sK5,X3)
| empty_carrier(sK5)
| empty(the_carrier(sK5))
| empty(sK10(the_carrier(sK5))) )
| ~ spl27_4
| ~ spl27_479 ),
inference(resolution,[],[f4965,f251]) ).
fof(f4965,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ net_str(X0,X1)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,sK17(sK10(the_carrier(X0)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,sK17(sK10(the_carrier(X0))))))
| sP2(X4,X0,X5)
| empty_carrier(X0)
| empty(the_carrier(X0))
| empty(sK10(the_carrier(X0))) )
| ~ spl27_479 ),
inference(avatar_component_clause,[],[f4964]) ).
fof(f8188,plain,
( spl27_679
| spl27_290
| spl27_3
| spl27_775
| spl27_1
| ~ spl27_2
| ~ spl27_4
| ~ spl27_478 ),
inference(avatar_split_clause,[],[f4974,f4960,f249,f239,f234,f8186,f244,f2337,f6880]) ).
fof(f8186,plain,
( spl27_775
<=> ! [X0,X3,X2,X1] :
( sP2(X0,sK5,X1)
| sP2(X2,sK5,X3)
| apply_netmap(sK4,sK5,sK14(X0,sK5,X1,sK14(X2,sK5,X3,sK17(sK9(the_carrier(sK5)))))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X0,sK5,X1,sK14(X2,sK5,X3,sK17(sK9(the_carrier(sK5)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_775])]) ).
fof(f4960,plain,
( spl27_478
<=> ! [X5,X4,X0,X3,X2,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,sK17(sK9(the_carrier(X0)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,sK17(sK9(the_carrier(X0))))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| empty(the_carrier(X0))
| empty(sK9(the_carrier(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_478])]) ).
fof(f4974,plain,
( ! [X2,X3,X0,X1] :
( ~ one_sorted_str(sK4)
| empty_carrier(sK4)
| sP2(X0,sK5,X1)
| apply_netmap(sK4,sK5,sK14(X0,sK5,X1,sK14(X2,sK5,X3,sK17(sK9(the_carrier(sK5)))))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X0,sK5,X1,sK14(X2,sK5,X3,sK17(sK9(the_carrier(sK5))))))
| sP2(X2,sK5,X3)
| empty_carrier(sK5)
| empty(the_carrier(sK5))
| empty(sK9(the_carrier(sK5))) )
| ~ spl27_4
| ~ spl27_478 ),
inference(resolution,[],[f4961,f251]) ).
fof(f4961,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ net_str(X0,X1)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,sK17(sK9(the_carrier(X0)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,sK17(sK9(the_carrier(X0))))))
| sP2(X4,X0,X5)
| empty_carrier(X0)
| empty(the_carrier(X0))
| empty(sK9(the_carrier(X0))) )
| ~ spl27_478 ),
inference(avatar_component_clause,[],[f4960]) ).
fof(f8151,plain,
( spl27_289
| spl27_290
| spl27_3
| spl27_774
| spl27_1
| ~ spl27_2
| ~ spl27_4
| ~ spl27_477 ),
inference(avatar_split_clause,[],[f4971,f4956,f249,f239,f234,f8149,f244,f2337,f2333]) ).
fof(f8149,plain,
( spl27_774
<=> ! [X0,X3,X2,X1] :
( sP2(X0,sK5,X1)
| sP2(X2,sK5,X3)
| apply_netmap(sK4,sK5,sK14(X0,sK5,X1,sK14(X2,sK5,X3,sK17(sK8(the_carrier(sK5)))))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X0,sK5,X1,sK14(X2,sK5,X3,sK17(sK8(the_carrier(sK5)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_774])]) ).
fof(f4956,plain,
( spl27_477
<=> ! [X5,X4,X0,X3,X2,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,sK17(sK8(the_carrier(X0)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,sK17(sK8(the_carrier(X0))))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| empty(the_carrier(X0))
| empty(sK8(the_carrier(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_477])]) ).
fof(f4971,plain,
( ! [X2,X3,X0,X1] :
( ~ one_sorted_str(sK4)
| empty_carrier(sK4)
| sP2(X0,sK5,X1)
| apply_netmap(sK4,sK5,sK14(X0,sK5,X1,sK14(X2,sK5,X3,sK17(sK8(the_carrier(sK5)))))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X0,sK5,X1,sK14(X2,sK5,X3,sK17(sK8(the_carrier(sK5))))))
| sP2(X2,sK5,X3)
| empty_carrier(sK5)
| empty(the_carrier(sK5))
| empty(sK8(the_carrier(sK5))) )
| ~ spl27_4
| ~ spl27_477 ),
inference(resolution,[],[f4957,f251]) ).
fof(f4957,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ net_str(X0,X1)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,sK17(sK8(the_carrier(X0)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,sK17(sK8(the_carrier(X0))))))
| sP2(X4,X0,X5)
| empty_carrier(X0)
| empty(the_carrier(X0))
| empty(sK8(the_carrier(X0))) )
| ~ spl27_477 ),
inference(avatar_component_clause,[],[f4956]) ).
fof(f8147,plain,
( spl27_773
| spl27_1
| ~ spl27_244
| ~ spl27_304 ),
inference(avatar_split_clause,[],[f2644,f2480,f1866,f234,f8145]) ).
fof(f8145,plain,
( spl27_773
<=> ! [X4,X0,X3,X2,X1] :
( ~ one_sorted_str(X0)
| ~ net_str(sK4,X0)
| sP2(X3,sK4,X4)
| apply_netmap(X0,sK4,sK14(X1,sK4,X2,sK14(X3,sK4,X4,apply_netmap(sK4,sK5,sK17(the_carrier(sK5)))))) = apply_on_structs(sK4,X0,the_mapping(X0,sK4),sK14(X1,sK4,X2,sK14(X3,sK4,X4,apply_netmap(sK4,sK5,sK17(the_carrier(sK5))))))
| sP2(X1,sK4,X2)
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_773])]) ).
fof(f1866,plain,
( spl27_244
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,X6))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,X6)))
| sP2(X4,X0,X5)
| ~ element(X6,the_carrier(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_244])]) ).
fof(f2644,plain,
( ! [X2,X3,X0,X1,X4] :
( empty_carrier(sK4)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,sK4,X2)
| apply_netmap(X0,sK4,sK14(X1,sK4,X2,sK14(X3,sK4,X4,apply_netmap(sK4,sK5,sK17(the_carrier(sK5)))))) = apply_on_structs(sK4,X0,the_mapping(X0,sK4),sK14(X1,sK4,X2,sK14(X3,sK4,X4,apply_netmap(sK4,sK5,sK17(the_carrier(sK5))))))
| sP2(X3,sK4,X4)
| ~ net_str(sK4,X0) )
| ~ spl27_244
| ~ spl27_304 ),
inference(resolution,[],[f2482,f1867]) ).
fof(f1867,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ element(X6,the_carrier(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,X6))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,X6)))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1) )
| ~ spl27_244 ),
inference(avatar_component_clause,[],[f1866]) ).
fof(f8143,plain,
( spl27_772
| ~ spl27_66
| ~ spl27_308 ),
inference(avatar_split_clause,[],[f2597,f2565,f568,f8141]) ).
fof(f8141,plain,
( spl27_772
<=> ! [X4,X0,X3,X2,X1] :
( apply_netmap(X0,sK5,sK13(X1,sK5,X2,sK15(X3,sK5,X4))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(X1,sK5,X2,sK15(X3,sK5,X4)))
| apply_netmap(sK4,sK5,sK12(X1,sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X1,sK5,X2))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ sP2(X3,sK5,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_772])]) ).
fof(f2597,plain,
( ! [X2,X3,X0,X1,X4] :
( apply_netmap(X0,sK5,sK13(X1,sK5,X2,sK15(X3,sK5,X4))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(X1,sK5,X2,sK15(X3,sK5,X4)))
| apply_netmap(sK4,sK5,sK12(X1,sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X1,sK5,X2))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ sP2(X3,sK5,X4) )
| ~ spl27_66
| ~ spl27_308 ),
inference(resolution,[],[f2566,f569]) ).
fof(f8139,plain,
( ~ spl27_771
| ~ spl27_35
| ~ spl27_760 ),
inference(avatar_split_clause,[],[f8069,f8031,f396,f8136]) ).
fof(f8136,plain,
( spl27_771
<=> in(the_carrier(sK5),sK15(sK6,sK5,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_771])]) ).
fof(f8031,plain,
( spl27_760
<=> in(sK15(sK6,sK5,sK4),the_carrier(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_760])]) ).
fof(f8069,plain,
( ~ in(the_carrier(sK5),sK15(sK6,sK5,sK4))
| ~ spl27_35
| ~ spl27_760 ),
inference(resolution,[],[f8033,f397]) ).
fof(f8033,plain,
( in(sK15(sK6,sK5,sK4),the_carrier(sK5))
| ~ spl27_760 ),
inference(avatar_component_clause,[],[f8031]) ).
fof(f8134,plain,
( spl27_770
| ~ spl27_63
| ~ spl27_308 ),
inference(avatar_split_clause,[],[f2594,f2565,f556,f8132]) ).
fof(f8132,plain,
( spl27_770
<=> ! [X4,X0,X3,X2,X1] :
( apply_netmap(X0,sK5,sK13(X1,sK5,X2,sK12(X3,sK5,X4))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(X1,sK5,X2,sK12(X3,sK5,X4)))
| apply_netmap(sK4,sK5,sK12(X1,sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X1,sK5,X2))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| sP0(X3,sK5,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_770])]) ).
fof(f2594,plain,
( ! [X2,X3,X0,X1,X4] :
( apply_netmap(X0,sK5,sK13(X1,sK5,X2,sK12(X3,sK5,X4))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(X1,sK5,X2,sK12(X3,sK5,X4)))
| apply_netmap(sK4,sK5,sK12(X1,sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X1,sK5,X2))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| sP0(X3,sK5,X4) )
| ~ spl27_63
| ~ spl27_308 ),
inference(resolution,[],[f2566,f557]) ).
fof(f8086,plain,
( spl27_3
| ~ spl27_59
| spl27_1
| ~ spl27_2
| ~ spl27_300
| ~ spl27_301
| spl27_769
| ~ spl27_150
| ~ spl27_302 ),
inference(avatar_split_clause,[],[f2571,f2472,f1125,f8084,f2468,f2464,f239,f234,f524,f244]) ).
fof(f8084,plain,
( spl27_769
<=> ! [X0,X1] :
( ~ element(X0,the_carrier(sK5))
| empty_carrier(X1)
| ~ one_sorted_str(X1)
| ~ net_str(sK4,X1)
| apply_netmap(X1,sK4,apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),X0)) = apply_on_structs(sK4,X1,the_mapping(X1,sK4),apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_769])]) ).
fof(f1125,plain,
( spl27_150
<=> ! [X4,X0,X3,X2,X1] :
( ~ element(X0,the_carrier(X1))
| ~ relation_of2(X2,the_carrier(X1),the_carrier(X3))
| ~ quasi_total(X2,the_carrier(X1),the_carrier(X3))
| ~ function(X2)
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X4,X3,apply_on_structs(X1,X3,X2,X0)) = apply_on_structs(X3,X4,the_mapping(X4,X3),apply_on_structs(X1,X3,X2,X0))
| ~ net_str(X3,X4)
| ~ one_sorted_str(X4)
| empty_carrier(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_150])]) ).
fof(f2571,plain,
( ! [X0,X1] :
( ~ element(X0,the_carrier(sK5))
| ~ quasi_total(the_mapping(sK4,sK5),the_carrier(sK5),the_carrier(sK4))
| ~ function(the_mapping(sK4,sK5))
| ~ one_sorted_str(sK4)
| empty_carrier(sK4)
| ~ one_sorted_str(sK5)
| empty_carrier(sK5)
| apply_netmap(X1,sK4,apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),X0)) = apply_on_structs(sK4,X1,the_mapping(X1,sK4),apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),X0))
| ~ net_str(sK4,X1)
| ~ one_sorted_str(X1)
| empty_carrier(X1) )
| ~ spl27_150
| ~ spl27_302 ),
inference(resolution,[],[f2473,f1126]) ).
fof(f1126,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ relation_of2(X2,the_carrier(X1),the_carrier(X3))
| ~ element(X0,the_carrier(X1))
| ~ quasi_total(X2,the_carrier(X1),the_carrier(X3))
| ~ function(X2)
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X4,X3,apply_on_structs(X1,X3,X2,X0)) = apply_on_structs(X3,X4,the_mapping(X4,X3),apply_on_structs(X1,X3,X2,X0))
| ~ net_str(X3,X4)
| ~ one_sorted_str(X4)
| empty_carrier(X4) )
| ~ spl27_150 ),
inference(avatar_component_clause,[],[f1125]) ).
fof(f8082,plain,
( ~ spl27_2
| spl27_3
| spl27_1
| spl27_768
| ~ spl27_4
| ~ spl27_474 ),
inference(avatar_split_clause,[],[f4940,f4933,f249,f8080,f234,f244,f239]) ).
fof(f8080,plain,
( spl27_768
<=> ! [X0,X3,X2,X1] :
( ~ one_sorted_str(X0)
| sP0(X2,sK5,X3)
| empty_carrier(X1)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X1)
| ~ net_str(sK4,X1)
| apply_netmap(X0,X1,apply_netmap(X1,sK4,apply_netmap(sK4,sK5,sK12(X2,sK5,X3)))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,sK4,apply_netmap(sK4,sK5,sK12(X2,sK5,X3))))
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_768])]) ).
fof(f4933,plain,
( spl27_474
<=> ! [X2,X3,X4,X0,X5,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,sK12(X4,X3,X5)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,sK12(X4,X3,X5))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| sP0(X4,X3,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_474])]) ).
fof(f4940,plain,
( ! [X2,X3,X0,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,sK4,apply_netmap(sK4,sK5,sK12(X2,sK5,X3)))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,sK4,apply_netmap(sK4,sK5,sK12(X2,sK5,X3))))
| ~ net_str(sK4,X1)
| empty_carrier(sK4)
| ~ one_sorted_str(X1)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| empty_carrier(sK5)
| ~ one_sorted_str(sK4)
| sP0(X2,sK5,X3) )
| ~ spl27_4
| ~ spl27_474 ),
inference(resolution,[],[f4934,f251]) ).
fof(f4934,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ net_str(X3,X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,sK12(X4,X3,X5)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,sK12(X4,X3,X5))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| empty_carrier(X0)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| sP0(X4,X3,X5) )
| ~ spl27_474 ),
inference(avatar_component_clause,[],[f4933]) ).
fof(f8077,plain,
( spl27_3
| spl27_767
| ~ spl27_201
| ~ spl27_475 ),
inference(avatar_split_clause,[],[f4948,f4937,f1532,f8075,f244]) ).
fof(f8075,plain,
( spl27_767
<=> ! [X2,X0,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| ~ net_str(sK5,X2)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X1)
| empty_carrier(X2)
| ~ net_str(X2,X1)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X2,sK5,sK15(sK6,sK5,sK4)))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X2,sK5,sK15(sK6,sK5,sK4))))
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_767])]) ).
fof(f4948,plain,
( ! [X2,X0,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,apply_netmap(X2,sK5,sK15(sK6,sK5,sK4)))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,apply_netmap(X2,sK5,sK15(sK6,sK5,sK4))))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| ~ net_str(X1,X0)
| ~ net_str(sK5,X2)
| empty_carrier(sK5)
| ~ one_sorted_str(X2)
| empty_carrier(X1) )
| ~ spl27_201
| ~ spl27_475 ),
inference(resolution,[],[f4938,f1534]) ).
fof(f8073,plain,
( spl27_275
| ~ spl27_59
| ~ spl27_2
| spl27_3
| spl27_1
| spl27_766
| ~ spl27_4
| ~ spl27_473 ),
inference(avatar_split_clause,[],[f4929,f4906,f249,f8071,f234,f244,f239,f524,f2202]) ).
fof(f8071,plain,
( spl27_766
<=> ! [X0,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X1)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X1)
| ~ net_str(sK4,X1)
| apply_netmap(X0,X1,apply_netmap(X1,sK4,apply_netmap(sK4,sK5,sK17(sK16(sK5))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,sK4,apply_netmap(sK4,sK5,sK17(sK16(sK5)))))
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_766])]) ).
fof(f4906,plain,
( spl27_473
<=> ! [X0,X3,X2,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,sK17(sK16(X3))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,sK17(sK16(X3)))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| ~ one_sorted_str(X3)
| empty(sK16(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_473])]) ).
fof(f4929,plain,
( ! [X0,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,sK4,apply_netmap(sK4,sK5,sK17(sK16(sK5))))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,sK4,apply_netmap(sK4,sK5,sK17(sK16(sK5)))))
| ~ net_str(sK4,X1)
| empty_carrier(sK4)
| ~ one_sorted_str(X1)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| empty_carrier(sK5)
| ~ one_sorted_str(sK4)
| ~ one_sorted_str(sK5)
| empty(sK16(sK5)) )
| ~ spl27_4
| ~ spl27_473 ),
inference(resolution,[],[f4907,f251]) ).
fof(f4907,plain,
( ! [X2,X3,X0,X1] :
( ~ net_str(X3,X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,sK17(sK16(X3))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,sK17(sK16(X3)))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| empty_carrier(X0)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| ~ one_sorted_str(X3)
| empty(sK16(X3)) )
| ~ spl27_473 ),
inference(avatar_component_clause,[],[f4906]) ).
fof(f8066,plain,
( ~ spl27_2
| spl27_3
| spl27_1
| spl27_765
| ~ spl27_4
| ~ spl27_471 ),
inference(avatar_split_clause,[],[f4919,f4897,f249,f8064,f234,f244,f239]) ).
fof(f8064,plain,
( spl27_765
<=> ! [X4,X0,X3,X2,X1] :
( ~ one_sorted_str(X0)
| sP0(X3,sK5,X4)
| ~ net_str(sK4,X0)
| sP2(X1,sK5,X2)
| apply_netmap(X0,sK4,apply_netmap(sK4,sK5,sK14(X1,sK5,X2,sK12(X3,sK5,X4)))) = apply_on_structs(sK4,X0,the_mapping(X0,sK4),apply_netmap(sK4,sK5,sK14(X1,sK5,X2,sK12(X3,sK5,X4))))
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_765])]) ).
fof(f4897,plain,
( spl27_471
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,sK12(X5,X2,X6)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,sK12(X5,X2,X6))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| sP0(X5,X2,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_471])]) ).
fof(f4919,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,sK4,apply_netmap(sK4,sK5,sK14(X1,sK5,X2,sK12(X3,sK5,X4)))) = apply_on_structs(sK4,X0,the_mapping(X0,sK4),apply_netmap(sK4,sK5,sK14(X1,sK5,X2,sK12(X3,sK5,X4))))
| empty_carrier(sK4)
| empty_carrier(sK5)
| ~ one_sorted_str(sK4)
| sP2(X1,sK5,X2)
| ~ net_str(sK4,X0)
| sP0(X3,sK5,X4) )
| ~ spl27_4
| ~ spl27_471 ),
inference(resolution,[],[f4898,f251]) ).
fof(f4898,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ net_str(X2,X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,sK12(X5,X2,X6)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,sK12(X5,X2,X6))))
| empty_carrier(X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| sP0(X5,X2,X6) )
| ~ spl27_471 ),
inference(avatar_component_clause,[],[f4897]) ).
fof(f8062,plain,
( ~ spl27_2
| spl27_3
| spl27_1
| spl27_764
| ~ spl27_4
| ~ spl27_469 ),
inference(avatar_split_clause,[],[f4909,f4889,f249,f8060,f234,f244,f239]) ).
fof(f8060,plain,
( spl27_764
<=> ! [X4,X0,X3,X2,X1] :
( ~ one_sorted_str(X0)
| sP0(X3,sK5,X4)
| ~ net_str(sK4,X0)
| apply_netmap(X0,sK4,sK14(X1,sK4,X2,apply_netmap(sK4,sK5,sK12(X3,sK5,X4)))) = apply_on_structs(sK4,X0,the_mapping(X0,sK4),sK14(X1,sK4,X2,apply_netmap(sK4,sK5,sK12(X3,sK5,X4))))
| sP2(X1,sK4,X2)
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_764])]) ).
fof(f4889,plain,
( spl27_469
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,sK12(X5,X4,X6)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,sK12(X5,X4,X6))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| sP0(X5,X4,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_469])]) ).
fof(f4909,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,sK4,X2)
| apply_netmap(X0,sK4,sK14(X1,sK4,X2,apply_netmap(sK4,sK5,sK12(X3,sK5,X4)))) = apply_on_structs(sK4,X0,the_mapping(X0,sK4),sK14(X1,sK4,X2,apply_netmap(sK4,sK5,sK12(X3,sK5,X4))))
| ~ net_str(sK4,X0)
| empty_carrier(sK4)
| empty_carrier(sK5)
| ~ one_sorted_str(sK4)
| sP0(X3,sK5,X4) )
| ~ spl27_4
| ~ spl27_469 ),
inference(resolution,[],[f4890,f251]) ).
fof(f4890,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ net_str(X4,X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,sK12(X5,X4,X6)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,sK12(X5,X4,X6))))
| ~ net_str(X0,X1)
| empty_carrier(X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| sP0(X5,X4,X6) )
| ~ spl27_469 ),
inference(avatar_component_clause,[],[f4889]) ).
fof(f8048,plain,
( spl27_763
| ~ spl27_95
| ~ spl27_312 ),
inference(avatar_split_clause,[],[f2671,f2625,f760,f8046]) ).
fof(f8046,plain,
( spl27_763
<=> ! [X0] :
( ~ empty(X0)
| empty(sK17(powerset(powerset(X0))))
| empty(sK17(sK17(powerset(powerset(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_763])]) ).
fof(f2671,plain,
( ! [X0] :
( ~ empty(X0)
| empty(sK17(powerset(powerset(X0))))
| empty(sK17(sK17(powerset(powerset(X0))))) )
| ~ spl27_95
| ~ spl27_312 ),
inference(resolution,[],[f2626,f761]) ).
fof(f8043,plain,
( spl27_3
| spl27_762
| ~ spl27_201
| ~ spl27_472 ),
inference(avatar_split_clause,[],[f4922,f4902,f1532,f8041,f244]) ).
fof(f8041,plain,
( spl27_762
<=> ! [X0,X3,X2,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X1)
| ~ net_str(X1,X0)
| sP2(X2,sK5,X3)
| ~ one_sorted_str(X1)
| ~ net_str(sK5,X1)
| apply_netmap(X0,X1,apply_netmap(X1,sK5,sK14(X2,sK5,X3,sK15(sK6,sK5,sK4)))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,sK5,sK14(X2,sK5,X3,sK15(sK6,sK5,sK4))))
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_762])]) ).
fof(f4922,plain,
( ! [X2,X3,X0,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,sK5,sK14(X2,sK5,X3,sK15(sK6,sK5,sK4)))) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,sK5,sK14(X2,sK5,X3,sK15(sK6,sK5,sK4))))
| ~ net_str(sK5,X1)
| empty_carrier(sK5)
| ~ one_sorted_str(X1)
| sP2(X2,sK5,X3)
| ~ net_str(X1,X0)
| empty_carrier(X1) )
| ~ spl27_201
| ~ spl27_472 ),
inference(resolution,[],[f4903,f1534]) ).
fof(f8038,plain,
( spl27_3
| spl27_761
| ~ spl27_201
| ~ spl27_470 ),
inference(avatar_split_clause,[],[f4912,f4893,f1532,f8036,f244]) ).
fof(f8036,plain,
( spl27_761
<=> ! [X0,X3,X2,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X2)
| ~ one_sorted_str(X2)
| ~ net_str(sK5,X2)
| ~ net_str(X2,X0)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X2,sK5,sK15(sK6,sK5,sK4)))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X2,sK5,sK15(sK6,sK5,sK4))))
| sP2(X1,X2,X3)
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_761])]) ).
fof(f4912,plain,
( ! [X2,X3,X0,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,X2,X3)
| apply_netmap(X0,X2,sK14(X1,X2,X3,apply_netmap(X2,sK5,sK15(sK6,sK5,sK4)))) = apply_on_structs(X2,X0,the_mapping(X0,X2),sK14(X1,X2,X3,apply_netmap(X2,sK5,sK15(sK6,sK5,sK4))))
| ~ net_str(X2,X0)
| ~ net_str(sK5,X2)
| empty_carrier(sK5)
| ~ one_sorted_str(X2)
| empty_carrier(X2) )
| ~ spl27_201
| ~ spl27_470 ),
inference(resolution,[],[f4894,f1534]) ).
fof(f8034,plain,
( spl27_760
| spl27_290
| ~ spl27_50
| ~ spl27_728 ),
inference(avatar_split_clause,[],[f7671,f7624,f465,f2337,f8031]) ).
fof(f7671,plain,
( empty(the_carrier(sK5))
| in(sK15(sK6,sK5,sK4),the_carrier(sK5))
| ~ spl27_50
| ~ spl27_728 ),
inference(resolution,[],[f7625,f466]) ).
fof(f8029,plain,
( spl27_275
| ~ spl27_59
| ~ spl27_2
| spl27_3
| spl27_1
| spl27_759
| ~ spl27_4
| ~ spl27_468 ),
inference(avatar_split_clause,[],[f4885,f4869,f249,f8027,f234,f244,f239,f524,f2202]) ).
fof(f8027,plain,
( spl27_759
<=> ! [X2,X0,X1] :
( ~ one_sorted_str(X0)
| ~ net_str(sK4,X0)
| sP2(X1,sK5,X2)
| apply_netmap(X0,sK4,apply_netmap(sK4,sK5,sK14(X1,sK5,X2,sK17(sK16(sK5))))) = apply_on_structs(sK4,X0,the_mapping(X0,sK4),apply_netmap(sK4,sK5,sK14(X1,sK5,X2,sK17(sK16(sK5)))))
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_759])]) ).
fof(f4869,plain,
( spl27_468
<=> ! [X4,X0,X3,X2,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,sK17(sK16(X2))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,sK17(sK16(X2)))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| ~ one_sorted_str(X2)
| empty(sK16(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_468])]) ).
fof(f4885,plain,
( ! [X2,X0,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,sK4,apply_netmap(sK4,sK5,sK14(X1,sK5,X2,sK17(sK16(sK5))))) = apply_on_structs(sK4,X0,the_mapping(X0,sK4),apply_netmap(sK4,sK5,sK14(X1,sK5,X2,sK17(sK16(sK5)))))
| empty_carrier(sK4)
| empty_carrier(sK5)
| ~ one_sorted_str(sK4)
| sP2(X1,sK5,X2)
| ~ net_str(sK4,X0)
| ~ one_sorted_str(sK5)
| empty(sK16(sK5)) )
| ~ spl27_4
| ~ spl27_468 ),
inference(resolution,[],[f4870,f251]) ).
fof(f4870,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ net_str(X2,X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,sK17(sK16(X2))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,sK17(sK16(X2)))))
| empty_carrier(X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| ~ one_sorted_str(X2)
| empty(sK16(X2)) )
| ~ spl27_468 ),
inference(avatar_component_clause,[],[f4869]) ).
fof(f8025,plain,
( spl27_275
| ~ spl27_59
| ~ spl27_2
| spl27_3
| spl27_1
| spl27_758
| ~ spl27_4
| ~ spl27_467 ),
inference(avatar_split_clause,[],[f4882,f4865,f249,f8023,f234,f244,f239,f524,f2202]) ).
fof(f8023,plain,
( spl27_758
<=> ! [X2,X0,X1] :
( ~ one_sorted_str(X0)
| ~ net_str(sK4,X0)
| apply_netmap(X0,sK4,sK14(X1,sK4,X2,apply_netmap(sK4,sK5,sK17(sK16(sK5))))) = apply_on_structs(sK4,X0,the_mapping(X0,sK4),sK14(X1,sK4,X2,apply_netmap(sK4,sK5,sK17(sK16(sK5)))))
| sP2(X1,sK4,X2)
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_758])]) ).
fof(f4865,plain,
( spl27_467
<=> ! [X4,X0,X3,X2,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,sK17(sK16(X4))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,sK17(sK16(X4)))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| ~ one_sorted_str(X4)
| empty(sK16(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_467])]) ).
fof(f4882,plain,
( ! [X2,X0,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,sK4,X2)
| apply_netmap(X0,sK4,sK14(X1,sK4,X2,apply_netmap(sK4,sK5,sK17(sK16(sK5))))) = apply_on_structs(sK4,X0,the_mapping(X0,sK4),sK14(X1,sK4,X2,apply_netmap(sK4,sK5,sK17(sK16(sK5)))))
| ~ net_str(sK4,X0)
| empty_carrier(sK4)
| empty_carrier(sK5)
| ~ one_sorted_str(sK4)
| ~ one_sorted_str(sK5)
| empty(sK16(sK5)) )
| ~ spl27_4
| ~ spl27_467 ),
inference(resolution,[],[f4866,f251]) ).
fof(f4866,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ net_str(X4,X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,sK17(sK16(X4))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,sK17(sK16(X4)))))
| ~ net_str(X0,X1)
| empty_carrier(X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| ~ one_sorted_str(X4)
| empty(sK16(X4)) )
| ~ spl27_467 ),
inference(avatar_component_clause,[],[f4865]) ).
fof(f7927,plain,
( spl27_3
| spl27_757
| spl27_1
| ~ spl27_2
| ~ spl27_4
| ~ spl27_465 ),
inference(avatar_split_clause,[],[f4872,f4857,f249,f239,f234,f7925,f244]) ).
fof(f7925,plain,
( spl27_757
<=> ! [X2,X3,X4,X0,X5,X1] :
( sP2(X0,sK5,X1)
| sP0(X4,sK5,X5)
| sP2(X2,sK5,X3)
| apply_netmap(sK4,sK5,sK14(X0,sK5,X1,sK14(X2,sK5,X3,sK12(X4,sK5,X5)))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X0,sK5,X1,sK14(X2,sK5,X3,sK12(X4,sK5,X5)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_757])]) ).
fof(f4857,plain,
( spl27_465
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,sK12(X6,X0,X7)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,sK12(X6,X0,X7))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| sP0(X6,X0,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_465])]) ).
fof(f4872,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ one_sorted_str(sK4)
| empty_carrier(sK4)
| sP2(X0,sK5,X1)
| apply_netmap(sK4,sK5,sK14(X0,sK5,X1,sK14(X2,sK5,X3,sK12(X4,sK5,X5)))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X0,sK5,X1,sK14(X2,sK5,X3,sK12(X4,sK5,X5))))
| sP2(X2,sK5,X3)
| empty_carrier(sK5)
| sP0(X4,sK5,X5) )
| ~ spl27_4
| ~ spl27_465 ),
inference(resolution,[],[f4858,f251]) ).
fof(f4858,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ net_str(X0,X1)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,sK12(X6,X0,X7)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,sK12(X6,X0,X7))))
| sP2(X4,X0,X5)
| empty_carrier(X0)
| sP0(X6,X0,X7) )
| ~ spl27_465 ),
inference(avatar_component_clause,[],[f4857]) ).
fof(f7922,plain,
( spl27_3
| spl27_756
| ~ spl27_201
| ~ spl27_466 ),
inference(avatar_split_clause,[],[f4875,f4861,f1532,f7920,f244]) ).
fof(f7920,plain,
( spl27_756
<=> ! [X4,X0,X3,X2,X1] :
( ~ one_sorted_str(X0)
| ~ net_str(sK5,X0)
| sP2(X3,sK5,X4)
| apply_netmap(X0,sK5,sK14(X1,sK5,X2,sK14(X3,sK5,X4,sK15(sK6,sK5,sK4)))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK14(X1,sK5,X2,sK14(X3,sK5,X4,sK15(sK6,sK5,sK4))))
| sP2(X1,sK5,X2)
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_756])]) ).
fof(f4875,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,sK5,X2)
| apply_netmap(X0,sK5,sK14(X1,sK5,X2,sK14(X3,sK5,X4,sK15(sK6,sK5,sK4)))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK14(X1,sK5,X2,sK14(X3,sK5,X4,sK15(sK6,sK5,sK4))))
| sP2(X3,sK5,X4)
| ~ net_str(sK5,X0)
| empty_carrier(sK5) )
| ~ spl27_201
| ~ spl27_466 ),
inference(resolution,[],[f4862,f1534]) ).
fof(f7885,plain,
( spl27_275
| ~ spl27_59
| spl27_3
| spl27_755
| spl27_1
| ~ spl27_2
| ~ spl27_4
| ~ spl27_464 ),
inference(avatar_split_clause,[],[f4853,f4810,f249,f239,f234,f7883,f244,f524,f2202]) ).
fof(f7883,plain,
( spl27_755
<=> ! [X0,X3,X2,X1] :
( sP2(X0,sK5,X1)
| sP2(X2,sK5,X3)
| apply_netmap(sK4,sK5,sK14(X0,sK5,X1,sK14(X2,sK5,X3,sK17(sK16(sK5))))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X0,sK5,X1,sK14(X2,sK5,X3,sK17(sK16(sK5))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_755])]) ).
fof(f4810,plain,
( spl27_464
<=> ! [X5,X4,X0,X3,X2,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,sK17(sK16(X0))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,sK17(sK16(X0)))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| ~ one_sorted_str(X0)
| empty(sK16(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_464])]) ).
fof(f4853,plain,
( ! [X2,X3,X0,X1] :
( ~ one_sorted_str(sK4)
| empty_carrier(sK4)
| sP2(X0,sK5,X1)
| apply_netmap(sK4,sK5,sK14(X0,sK5,X1,sK14(X2,sK5,X3,sK17(sK16(sK5))))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X0,sK5,X1,sK14(X2,sK5,X3,sK17(sK16(sK5)))))
| sP2(X2,sK5,X3)
| empty_carrier(sK5)
| ~ one_sorted_str(sK5)
| empty(sK16(sK5)) )
| ~ spl27_4
| ~ spl27_464 ),
inference(resolution,[],[f4811,f251]) ).
fof(f4811,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ net_str(X0,X1)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,sK17(sK16(X0))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,sK17(sK16(X0)))))
| sP2(X4,X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty(sK16(X0)) )
| ~ spl27_464 ),
inference(avatar_component_clause,[],[f4810]) ).
fof(f7880,plain,
( spl27_3
| spl27_754
| ~ spl27_138
| ~ spl27_269 ),
inference(avatar_split_clause,[],[f2158,f2153,f1018,f7878,f244]) ).
fof(f7878,plain,
( spl27_754
<=> ! [X2,X0,X1] :
( apply_netmap(sK4,sK5,sK14(X0,sK5,X1,sK17(the_carrier(sK5)))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X0,sK5,X1,sK17(the_carrier(sK5))))
| apply_netmap(X2,sK5,sK15(X0,sK5,X1)) = apply_on_structs(sK5,X2,the_mapping(X2,sK5),sK15(X0,sK5,X1))
| ~ net_str(sK5,X2)
| empty_carrier(X2)
| ~ one_sorted_str(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_754])]) ).
fof(f2158,plain,
( ! [X2,X0,X1] :
( apply_netmap(sK4,sK5,sK14(X0,sK5,X1,sK17(the_carrier(sK5)))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X0,sK5,X1,sK17(the_carrier(sK5))))
| ~ net_str(sK5,X2)
| empty_carrier(sK5)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| apply_netmap(X2,sK5,sK15(X0,sK5,X1)) = apply_on_structs(sK5,X2,the_mapping(X2,sK5),sK15(X0,sK5,X1)) )
| ~ spl27_138
| ~ spl27_269 ),
inference(resolution,[],[f2154,f1019]) ).
fof(f7876,plain,
( spl27_275
| spl27_3
| ~ spl27_59
| spl27_753
| ~ spl27_174
| ~ spl27_299 ),
inference(avatar_split_clause,[],[f2517,f2455,f1340,f7874,f524,f244,f2202]) ).
fof(f7874,plain,
( spl27_753
<=> ! [X2,X0,X1] :
( ~ net_str(sK5,X0)
| apply_netmap(X0,sK5,sK13(sK7,sK5,sK4,sK14(X1,sK5,X2,sK17(sK16(sK5))))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK7,sK5,sK4,sK14(X1,sK5,X2,sK17(sK16(sK5)))))
| sP2(X1,sK5,X2)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_753])]) ).
fof(f2455,plain,
( spl27_299
<=> ! [X0,X3,X2,X1] :
( apply_netmap(X0,sK5,sK13(sK7,sK5,sK4,sK14(X1,sK5,X2,X3))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK7,sK5,sK4,sK14(X1,sK5,X2,X3)))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| sP2(X1,sK5,X2)
| ~ element(X3,the_carrier(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_299])]) ).
fof(f2517,plain,
( ! [X2,X0,X1] :
( ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| sP2(X1,sK5,X2)
| apply_netmap(X0,sK5,sK13(sK7,sK5,sK4,sK14(X1,sK5,X2,sK17(sK16(sK5))))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK7,sK5,sK4,sK14(X1,sK5,X2,sK17(sK16(sK5)))))
| ~ one_sorted_str(sK5)
| empty_carrier(sK5)
| empty(sK16(sK5)) )
| ~ spl27_174
| ~ spl27_299 ),
inference(resolution,[],[f2456,f1341]) ).
fof(f2456,plain,
( ! [X2,X3,X0,X1] :
( ~ element(X3,the_carrier(sK5))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| sP2(X1,sK5,X2)
| apply_netmap(X0,sK5,sK13(sK7,sK5,sK4,sK14(X1,sK5,X2,X3))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK7,sK5,sK4,sK14(X1,sK5,X2,X3))) )
| ~ spl27_299 ),
inference(avatar_component_clause,[],[f2455]) ).
fof(f7855,plain,
( spl27_142
| spl27_752
| ~ spl27_135
| ~ spl27_423 ),
inference(avatar_split_clause,[],[f4271,f4202,f999,f7853,f1037]) ).
fof(f7853,plain,
( spl27_752
<=> ! [X0,X3,X2,X1] :
( sP2(X0,X1,X2)
| element(apply_netmap(X3,X1,sK14(X0,X1,X2,sK15(sK17(powerset(sK6)),X1,X3))),sK7)
| ~ sP2(sK17(powerset(sK6)),X1,X3)
| ~ element(sK14(X0,X1,X2,sK15(sK17(powerset(sK6)),X1,X3)),the_carrier(X1))
| ~ element(sK15(sK17(powerset(sK6)),X1,X3),the_carrier(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_752])]) ).
fof(f999,plain,
( spl27_135
<=> ! [X0] :
( ~ in(X0,sK6)
| element(X0,sK7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_135])]) ).
fof(f4202,plain,
( spl27_423
<=> ! [X4,X0,X3,X2,X1] :
( ~ sP2(sK17(powerset(X0)),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK17(powerset(X0)),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK17(powerset(X0)),X1,X2)),the_carrier(X1))
| empty(X0)
| in(apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK17(powerset(X0)),X1,X2))),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_423])]) ).
fof(f4271,plain,
( ! [X2,X3,X0,X1] :
( sP2(X0,X1,X2)
| ~ element(sK15(sK17(powerset(sK6)),X1,X3),the_carrier(X1))
| ~ element(sK14(X0,X1,X2,sK15(sK17(powerset(sK6)),X1,X3)),the_carrier(X1))
| empty(sK6)
| ~ sP2(sK17(powerset(sK6)),X1,X3)
| element(apply_netmap(X3,X1,sK14(X0,X1,X2,sK15(sK17(powerset(sK6)),X1,X3))),sK7) )
| ~ spl27_135
| ~ spl27_423 ),
inference(resolution,[],[f4203,f1000]) ).
fof(f1000,plain,
( ! [X0] :
( ~ in(X0,sK6)
| element(X0,sK7) )
| ~ spl27_135 ),
inference(avatar_component_clause,[],[f999]) ).
fof(f4203,plain,
( ! [X2,X3,X0,X1,X4] :
( in(apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK17(powerset(X0)),X1,X2))),X0)
| sP2(X3,X1,X4)
| ~ element(sK15(sK17(powerset(X0)),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK17(powerset(X0)),X1,X2)),the_carrier(X1))
| empty(X0)
| ~ sP2(sK17(powerset(X0)),X1,X2) )
| ~ spl27_423 ),
inference(avatar_component_clause,[],[f4202]) ).
fof(f7848,plain,
( spl27_142
| spl27_751
| ~ spl27_135
| ~ spl27_422 ),
inference(avatar_split_clause,[],[f4231,f4198,f999,f7846,f1037]) ).
fof(f7846,plain,
( spl27_751
<=> ! [X0,X3,X2,X1] :
( ~ element(sK15(sK17(powerset(sK6)),X0,X1),the_carrier(X0))
| element(apply_netmap(X1,X0,sK13(X2,X0,X3,sK15(sK17(powerset(sK6)),X0,X1))),sK7)
| ~ sP2(sK17(powerset(sK6)),X0,X1)
| ~ element(sK13(X2,X0,X3,sK15(sK17(powerset(sK6)),X0,X1)),the_carrier(X0))
| ~ sP0(X2,X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_751])]) ).
fof(f4198,plain,
( spl27_422
<=> ! [X4,X0,X3,X2,X1] :
( ~ sP2(sK17(powerset(X0)),X1,X2)
| ~ element(sK15(sK17(powerset(X0)),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK17(powerset(X0)),X1,X2)),the_carrier(X1))
| empty(X0)
| in(apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK17(powerset(X0)),X1,X2))),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_422])]) ).
fof(f4231,plain,
( ! [X2,X3,X0,X1] :
( ~ element(sK15(sK17(powerset(sK6)),X0,X1),the_carrier(X0))
| ~ sP0(X2,X0,X3)
| ~ element(sK13(X2,X0,X3,sK15(sK17(powerset(sK6)),X0,X1)),the_carrier(X0))
| empty(sK6)
| ~ sP2(sK17(powerset(sK6)),X0,X1)
| element(apply_netmap(X1,X0,sK13(X2,X0,X3,sK15(sK17(powerset(sK6)),X0,X1))),sK7) )
| ~ spl27_135
| ~ spl27_422 ),
inference(resolution,[],[f4199,f1000]) ).
fof(f4199,plain,
( ! [X2,X3,X0,X1,X4] :
( in(apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK17(powerset(X0)),X1,X2))),X0)
| ~ element(sK15(sK17(powerset(X0)),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK17(powerset(X0)),X1,X2)),the_carrier(X1))
| empty(X0)
| ~ sP2(sK17(powerset(X0)),X1,X2) )
| ~ spl27_422 ),
inference(avatar_component_clause,[],[f4198]) ).
fof(f7844,plain,
( spl27_750
| ~ spl27_23
| ~ spl27_308 ),
inference(avatar_split_clause,[],[f2599,f2565,f338,f7842]) ).
fof(f7842,plain,
( spl27_750
<=> ! [X2,X0,X1] :
( apply_netmap(X0,sK5,sK13(X1,sK5,X2,sK17(the_carrier(sK5)))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(X1,sK5,X2,sK17(the_carrier(sK5))))
| apply_netmap(sK4,sK5,sK12(X1,sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X1,sK5,X2))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_750])]) ).
fof(f2599,plain,
( ! [X2,X0,X1] :
( apply_netmap(X0,sK5,sK13(X1,sK5,X2,sK17(the_carrier(sK5)))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(X1,sK5,X2,sK17(the_carrier(sK5))))
| apply_netmap(sK4,sK5,sK12(X1,sK5,X2)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X1,sK5,X2))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0) )
| ~ spl27_23
| ~ spl27_308 ),
inference(resolution,[],[f2566,f339]) ).
fof(f7840,plain,
( spl27_749
| ~ spl27_66
| ~ spl27_299 ),
inference(avatar_split_clause,[],[f2516,f2455,f568,f7838]) ).
fof(f7838,plain,
( spl27_749
<=> ! [X4,X0,X3,X2,X1] :
( ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| sP2(X1,sK5,X2)
| apply_netmap(X0,sK5,sK13(sK7,sK5,sK4,sK14(X1,sK5,X2,sK15(X3,sK5,X4)))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK7,sK5,sK4,sK14(X1,sK5,X2,sK15(X3,sK5,X4))))
| ~ sP2(X3,sK5,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_749])]) ).
fof(f2516,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| sP2(X1,sK5,X2)
| apply_netmap(X0,sK5,sK13(sK7,sK5,sK4,sK14(X1,sK5,X2,sK15(X3,sK5,X4)))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK7,sK5,sK4,sK14(X1,sK5,X2,sK15(X3,sK5,X4))))
| ~ sP2(X3,sK5,X4) )
| ~ spl27_66
| ~ spl27_299 ),
inference(resolution,[],[f2456,f569]) ).
fof(f7836,plain,
( spl27_748
| ~ spl27_63
| ~ spl27_299 ),
inference(avatar_split_clause,[],[f2513,f2455,f556,f7834]) ).
fof(f7834,plain,
( spl27_748
<=> ! [X4,X0,X3,X2,X1] :
( ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| sP2(X1,sK5,X2)
| apply_netmap(X0,sK5,sK13(sK7,sK5,sK4,sK14(X1,sK5,X2,sK12(X3,sK5,X4)))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK7,sK5,sK4,sK14(X1,sK5,X2,sK12(X3,sK5,X4))))
| sP0(X3,sK5,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_748])]) ).
fof(f2513,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| sP2(X1,sK5,X2)
| apply_netmap(X0,sK5,sK13(sK7,sK5,sK4,sK14(X1,sK5,X2,sK12(X3,sK5,X4)))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK7,sK5,sK4,sK14(X1,sK5,X2,sK12(X3,sK5,X4))))
| sP0(X3,sK5,X4) )
| ~ spl27_63
| ~ spl27_299 ),
inference(resolution,[],[f2456,f557]) ).
fof(f7832,plain,
( ~ spl27_747
| ~ spl27_35
| ~ spl27_737 ),
inference(avatar_split_clause,[],[f7768,f7710,f396,f7829]) ).
fof(f7829,plain,
( spl27_747
<=> in(the_carrier(sK5),sK12(sK6,sK5,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_747])]) ).
fof(f7710,plain,
( spl27_737
<=> in(sK12(sK6,sK5,sK4),the_carrier(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_737])]) ).
fof(f7768,plain,
( ~ in(the_carrier(sK5),sK12(sK6,sK5,sK4))
| ~ spl27_35
| ~ spl27_737 ),
inference(resolution,[],[f7712,f397]) ).
fof(f7712,plain,
( in(sK12(sK6,sK5,sK4),the_carrier(sK5))
| ~ spl27_737 ),
inference(avatar_component_clause,[],[f7710]) ).
fof(f7789,plain,
( spl27_746
| ~ spl27_66
| ~ spl27_344 ),
inference(avatar_split_clause,[],[f3102,f3049,f568,f7787]) ).
fof(f7787,plain,
( spl27_746
<=> ! [X4,X0,X3,X2,X1] :
( sP2(X0,X1,X2)
| ~ sP2(sK17(powerset(X3)),X1,X4)
| ~ empty(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_746])]) ).
fof(f3049,plain,
( spl27_344
<=> ! [X4,X0,X3,X2,X1] :
( ~ sP2(sK17(powerset(X0)),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK17(powerset(X0)),X1,X2),the_carrier(X1))
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_344])]) ).
fof(f3102,plain,
( ! [X2,X3,X0,X1,X4] :
( sP2(X0,X1,X2)
| ~ sP2(sK17(powerset(X3)),X1,X4)
| ~ empty(X3) )
| ~ spl27_66
| ~ spl27_344 ),
inference(duplicate_literal_removal,[],[f3099]) ).
fof(f3099,plain,
( ! [X2,X3,X0,X1,X4] :
( sP2(X0,X1,X2)
| ~ sP2(sK17(powerset(X3)),X1,X4)
| ~ empty(X3)
| ~ sP2(sK17(powerset(X3)),X1,X4) )
| ~ spl27_66
| ~ spl27_344 ),
inference(resolution,[],[f3050,f569]) ).
fof(f3050,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ element(sK15(sK17(powerset(X0)),X1,X2),the_carrier(X1))
| sP2(X3,X1,X4)
| ~ sP2(sK17(powerset(X0)),X1,X2)
| ~ empty(X0) )
| ~ spl27_344 ),
inference(avatar_component_clause,[],[f3049]) ).
fof(f7785,plain,
( spl27_745
| ~ spl27_66
| ~ spl27_343 ),
inference(avatar_split_clause,[],[f3098,f3045,f568,f7783]) ).
fof(f7783,plain,
( spl27_745
<=> ! [X4,X0,X3,X2,X1] :
( ~ sP2(sK17(powerset(X0)),X1,X2)
| ~ sP0(X3,X1,X4)
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_745])]) ).
fof(f3045,plain,
( spl27_343
<=> ! [X4,X0,X3,X2,X1] :
( ~ sP2(sK17(powerset(X0)),X1,X2)
| ~ element(sK15(sK17(powerset(X0)),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_343])]) ).
fof(f3098,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sP2(sK17(powerset(X0)),X1,X2)
| ~ sP0(X3,X1,X4)
| ~ empty(X0) )
| ~ spl27_66
| ~ spl27_343 ),
inference(duplicate_literal_removal,[],[f3095]) ).
fof(f3095,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sP2(sK17(powerset(X0)),X1,X2)
| ~ sP0(X3,X1,X4)
| ~ empty(X0)
| ~ sP2(sK17(powerset(X0)),X1,X2) )
| ~ spl27_66
| ~ spl27_343 ),
inference(resolution,[],[f3046,f569]) ).
fof(f3046,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ element(sK15(sK17(powerset(X0)),X1,X2),the_carrier(X1))
| ~ sP2(sK17(powerset(X0)),X1,X2)
| ~ sP0(X3,X1,X4)
| ~ empty(X0) )
| ~ spl27_343 ),
inference(avatar_component_clause,[],[f3045]) ).
fof(f7781,plain,
( spl27_744
| ~ spl27_20
| ~ spl27_318 ),
inference(avatar_split_clause,[],[f2681,f2659,f326,f7779]) ).
fof(f7779,plain,
( spl27_744
<=> ! [X0] :
( empty(powerset(X0))
| empty(powerset(powerset(X0)))
| ~ subset(powerset(powerset(X0)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_744])]) ).
fof(f2659,plain,
( spl27_318
<=> ! [X0,X1] :
( ~ subset(powerset(X0),X1)
| empty(powerset(X1))
| empty(powerset(X0))
| ~ subset(powerset(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_318])]) ).
fof(f2681,plain,
( ! [X0] :
( empty(powerset(X0))
| empty(powerset(powerset(X0)))
| ~ subset(powerset(powerset(X0)),X0) )
| ~ spl27_20
| ~ spl27_318 ),
inference(resolution,[],[f2660,f327]) ).
fof(f2660,plain,
( ! [X0,X1] :
( ~ subset(powerset(X1),X0)
| empty(powerset(X1))
| empty(powerset(X0))
| ~ subset(powerset(X0),X1) )
| ~ spl27_318 ),
inference(avatar_component_clause,[],[f2659]) ).
fof(f7777,plain,
( spl27_743
| ~ spl27_35
| ~ spl27_305 ),
inference(avatar_split_clause,[],[f2545,f2532,f396,f7775]) ).
fof(f7775,plain,
( spl27_743
<=> ! [X0] :
( empty(X0)
| empty(sK17(powerset(X0)))
| ~ in(X0,sK17(sK17(powerset(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_743])]) ).
fof(f2545,plain,
( ! [X0] :
( empty(X0)
| empty(sK17(powerset(X0)))
| ~ in(X0,sK17(sK17(powerset(X0)))) )
| ~ spl27_35
| ~ spl27_305 ),
inference(resolution,[],[f2533,f397]) ).
fof(f7773,plain,
( ~ spl27_302
| ~ spl27_728
| spl27_316
| spl27_3
| ~ spl27_59
| spl27_1
| ~ spl27_2
| ~ spl27_300
| ~ spl27_301
| ~ spl27_742
| ~ spl27_214
| ~ spl27_249 ),
inference(avatar_split_clause,[],[f2064,f2000,f1610,f7770,f2468,f2464,f239,f234,f524,f244,f2650,f7624,f2472]) ).
fof(f7770,plain,
( spl27_742
<=> in(the_carrier(sK4),apply_netmap(sK4,sK5,sK15(sK6,sK5,sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_742])]) ).
fof(f1610,plain,
( spl27_214
<=> ! [X0,X3,X2,X1] :
( ~ relation_of2(X0,the_carrier(X1),the_carrier(X2))
| ~ quasi_total(X0,the_carrier(X1),the_carrier(X2))
| ~ function(X0)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| empty(the_carrier(X2))
| ~ element(X3,the_carrier(X1))
| ~ in(the_carrier(X2),apply_on_structs(X1,X2,X0,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_214])]) ).
fof(f2064,plain,
( ~ in(the_carrier(sK4),apply_netmap(sK4,sK5,sK15(sK6,sK5,sK4)))
| ~ quasi_total(the_mapping(sK4,sK5),the_carrier(sK5),the_carrier(sK4))
| ~ function(the_mapping(sK4,sK5))
| ~ one_sorted_str(sK4)
| empty_carrier(sK4)
| ~ one_sorted_str(sK5)
| empty_carrier(sK5)
| empty(the_carrier(sK4))
| ~ element(sK15(sK6,sK5,sK4),the_carrier(sK5))
| ~ relation_of2(the_mapping(sK4,sK5),the_carrier(sK5),the_carrier(sK4))
| ~ spl27_214
| ~ spl27_249 ),
inference(superposition,[],[f1611,f2002]) ).
fof(f1611,plain,
( ! [X2,X3,X0,X1] :
( ~ in(the_carrier(X2),apply_on_structs(X1,X2,X0,X3))
| ~ quasi_total(X0,the_carrier(X1),the_carrier(X2))
| ~ function(X0)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| empty(the_carrier(X2))
| ~ element(X3,the_carrier(X1))
| ~ relation_of2(X0,the_carrier(X1),the_carrier(X2)) )
| ~ spl27_214 ),
inference(avatar_component_clause,[],[f1610]) ).
fof(f7765,plain,
( ~ spl27_302
| spl27_316
| spl27_3
| ~ spl27_59
| spl27_1
| ~ spl27_2
| ~ spl27_300
| ~ spl27_301
| spl27_741
| ~ spl27_214
| ~ spl27_238 ),
inference(avatar_split_clause,[],[f1862,f1807,f1610,f7763,f2468,f2464,f239,f234,f524,f244,f2650,f2472]) ).
fof(f7763,plain,
( spl27_741
<=> ! [X0] :
( ~ in(the_carrier(sK4),apply_netmap(sK4,sK5,sK12(sK24,sK5,X0)))
| ~ element(sK12(sK24,sK5,X0),the_carrier(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_741])]) ).
fof(f1862,plain,
( ! [X0] :
( ~ in(the_carrier(sK4),apply_netmap(sK4,sK5,sK12(sK24,sK5,X0)))
| ~ quasi_total(the_mapping(sK4,sK5),the_carrier(sK5),the_carrier(sK4))
| ~ function(the_mapping(sK4,sK5))
| ~ one_sorted_str(sK4)
| empty_carrier(sK4)
| ~ one_sorted_str(sK5)
| empty_carrier(sK5)
| empty(the_carrier(sK4))
| ~ element(sK12(sK24,sK5,X0),the_carrier(sK5))
| ~ relation_of2(the_mapping(sK4,sK5),the_carrier(sK5),the_carrier(sK4)) )
| ~ spl27_214
| ~ spl27_238 ),
inference(superposition,[],[f1611,f1808]) ).
fof(f7761,plain,
( ~ spl27_302
| ~ spl27_725
| spl27_316
| spl27_3
| ~ spl27_59
| spl27_1
| ~ spl27_2
| ~ spl27_300
| ~ spl27_301
| ~ spl27_740
| ~ spl27_211
| ~ spl27_214 ),
inference(avatar_split_clause,[],[f1628,f1610,f1589,f7758,f2468,f2464,f239,f234,f524,f244,f2650,f7551,f2472]) ).
fof(f7758,plain,
( spl27_740
<=> in(the_carrier(sK4),apply_netmap(sK4,sK5,sK12(sK6,sK5,sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_740])]) ).
fof(f1628,plain,
( ~ in(the_carrier(sK4),apply_netmap(sK4,sK5,sK12(sK6,sK5,sK4)))
| ~ quasi_total(the_mapping(sK4,sK5),the_carrier(sK5),the_carrier(sK4))
| ~ function(the_mapping(sK4,sK5))
| ~ one_sorted_str(sK4)
| empty_carrier(sK4)
| ~ one_sorted_str(sK5)
| empty_carrier(sK5)
| empty(the_carrier(sK4))
| ~ element(sK12(sK6,sK5,sK4),the_carrier(sK5))
| ~ relation_of2(the_mapping(sK4,sK5),the_carrier(sK5),the_carrier(sK4))
| ~ spl27_211
| ~ spl27_214 ),
inference(superposition,[],[f1611,f1591]) ).
fof(f7756,plain,
( ~ spl27_2
| spl27_3
| spl27_1
| spl27_739
| ~ spl27_4
| ~ spl27_427 ),
inference(avatar_split_clause,[],[f4345,f4306,f249,f7754,f234,f244,f239]) ).
fof(f7754,plain,
( spl27_739
<=> ! [X2,X0,X1] :
( ~ one_sorted_str(X0)
| ~ net_str(sK4,X0)
| sP2(X1,sK5,X2)
| apply_netmap(X0,sK4,apply_netmap(sK4,sK5,sK14(X1,sK5,X2,sK17(the_carrier(sK5))))) = apply_on_structs(sK4,X0,the_mapping(X0,sK4),apply_netmap(sK4,sK5,sK14(X1,sK5,X2,sK17(the_carrier(sK5)))))
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_739])]) ).
fof(f4306,plain,
( spl27_427
<=> ! [X4,X0,X3,X2,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,sK17(the_carrier(X2))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,sK17(the_carrier(X2)))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_427])]) ).
fof(f4345,plain,
( ! [X2,X0,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,sK4,apply_netmap(sK4,sK5,sK14(X1,sK5,X2,sK17(the_carrier(sK5))))) = apply_on_structs(sK4,X0,the_mapping(X0,sK4),apply_netmap(sK4,sK5,sK14(X1,sK5,X2,sK17(the_carrier(sK5)))))
| empty_carrier(sK4)
| empty_carrier(sK5)
| ~ one_sorted_str(sK4)
| sP2(X1,sK5,X2)
| ~ net_str(sK4,X0) )
| ~ spl27_4
| ~ spl27_427 ),
inference(resolution,[],[f4307,f251]) ).
fof(f4307,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ net_str(X2,X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,sK17(the_carrier(X2))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,sK17(the_carrier(X2)))))
| empty_carrier(X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1) )
| ~ spl27_427 ),
inference(avatar_component_clause,[],[f4306]) ).
fof(f7725,plain,
( spl27_3
| spl27_738
| spl27_1
| ~ spl27_2
| ~ spl27_4
| ~ spl27_424 ),
inference(avatar_split_clause,[],[f4294,f4206,f249,f239,f234,f7723,f244]) ).
fof(f7723,plain,
( spl27_738
<=> ! [X0,X3,X2,X1] :
( sP2(X0,sK5,X1)
| sP2(X2,sK5,X3)
| apply_netmap(sK4,sK5,sK14(X0,sK5,X1,sK14(X2,sK5,X3,sK17(the_carrier(sK5))))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X0,sK5,X1,sK14(X2,sK5,X3,sK17(the_carrier(sK5))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_738])]) ).
fof(f4206,plain,
( spl27_424
<=> ! [X5,X4,X0,X3,X2,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,sK17(the_carrier(X0))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,sK17(the_carrier(X0)))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_424])]) ).
fof(f4294,plain,
( ! [X2,X3,X0,X1] :
( ~ one_sorted_str(sK4)
| empty_carrier(sK4)
| sP2(X0,sK5,X1)
| apply_netmap(sK4,sK5,sK14(X0,sK5,X1,sK14(X2,sK5,X3,sK17(the_carrier(sK5))))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X0,sK5,X1,sK14(X2,sK5,X3,sK17(the_carrier(sK5)))))
| sP2(X2,sK5,X3)
| empty_carrier(sK5) )
| ~ spl27_4
| ~ spl27_424 ),
inference(resolution,[],[f4207,f251]) ).
fof(f4207,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ net_str(X0,X1)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,sK17(the_carrier(X0))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,sK17(the_carrier(X0)))))
| sP2(X4,X0,X5)
| empty_carrier(X0) )
| ~ spl27_424 ),
inference(avatar_component_clause,[],[f4206]) ).
fof(f7713,plain,
( spl27_737
| spl27_290
| ~ spl27_50
| ~ spl27_725 ),
inference(avatar_split_clause,[],[f7589,f7551,f465,f2337,f7710]) ).
fof(f7589,plain,
( empty(the_carrier(sK5))
| in(sK12(sK6,sK5,sK4),the_carrier(sK5))
| ~ spl27_50
| ~ spl27_725 ),
inference(resolution,[],[f7552,f466]) ).
fof(f7708,plain,
( spl27_142
| spl27_736
| ~ spl27_135
| ~ spl27_403 ),
inference(avatar_split_clause,[],[f4037,f3815,f999,f7706,f1037]) ).
fof(f7706,plain,
( spl27_736
<=> ! [X0,X3,X2,X1] :
( sP2(X0,X1,X2)
| element(apply_netmap(X3,X1,sK14(X0,X1,X2,sK15(sK10(sK6),X1,X3))),sK7)
| ~ sP2(sK10(sK6),X1,X3)
| ~ element(sK14(X0,X1,X2,sK15(sK10(sK6),X1,X3)),the_carrier(X1))
| ~ element(sK15(sK10(sK6),X1,X3),the_carrier(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_736])]) ).
fof(f3815,plain,
( spl27_403
<=> ! [X4,X0,X3,X2,X1] :
( ~ sP2(sK10(X0),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK10(X0),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK10(X0),X1,X2)),the_carrier(X1))
| empty(X0)
| in(apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK10(X0),X1,X2))),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_403])]) ).
fof(f4037,plain,
( ! [X2,X3,X0,X1] :
( sP2(X0,X1,X2)
| ~ element(sK15(sK10(sK6),X1,X3),the_carrier(X1))
| ~ element(sK14(X0,X1,X2,sK15(sK10(sK6),X1,X3)),the_carrier(X1))
| empty(sK6)
| ~ sP2(sK10(sK6),X1,X3)
| element(apply_netmap(X3,X1,sK14(X0,X1,X2,sK15(sK10(sK6),X1,X3))),sK7) )
| ~ spl27_135
| ~ spl27_403 ),
inference(resolution,[],[f3816,f1000]) ).
fof(f3816,plain,
( ! [X2,X3,X0,X1,X4] :
( in(apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK10(X0),X1,X2))),X0)
| sP2(X3,X1,X4)
| ~ element(sK15(sK10(X0),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK10(X0),X1,X2)),the_carrier(X1))
| empty(X0)
| ~ sP2(sK10(X0),X1,X2) )
| ~ spl27_403 ),
inference(avatar_component_clause,[],[f3815]) ).
fof(f7703,plain,
( spl27_142
| spl27_735
| ~ spl27_135
| ~ spl27_401 ),
inference(avatar_split_clause,[],[f4000,f3806,f999,f7701,f1037]) ).
fof(f7701,plain,
( spl27_735
<=> ! [X0,X3,X2,X1] :
( sP2(X0,X1,X2)
| element(apply_netmap(X3,X1,sK14(X0,X1,X2,sK15(sK9(sK6),X1,X3))),sK7)
| ~ sP2(sK9(sK6),X1,X3)
| ~ element(sK14(X0,X1,X2,sK15(sK9(sK6),X1,X3)),the_carrier(X1))
| ~ element(sK15(sK9(sK6),X1,X3),the_carrier(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_735])]) ).
fof(f3806,plain,
( spl27_401
<=> ! [X4,X0,X3,X2,X1] :
( ~ sP2(sK9(X0),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK9(X0),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK9(X0),X1,X2)),the_carrier(X1))
| empty(X0)
| in(apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK9(X0),X1,X2))),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_401])]) ).
fof(f4000,plain,
( ! [X2,X3,X0,X1] :
( sP2(X0,X1,X2)
| ~ element(sK15(sK9(sK6),X1,X3),the_carrier(X1))
| ~ element(sK14(X0,X1,X2,sK15(sK9(sK6),X1,X3)),the_carrier(X1))
| empty(sK6)
| ~ sP2(sK9(sK6),X1,X3)
| element(apply_netmap(X3,X1,sK14(X0,X1,X2,sK15(sK9(sK6),X1,X3))),sK7) )
| ~ spl27_135
| ~ spl27_401 ),
inference(resolution,[],[f3807,f1000]) ).
fof(f3807,plain,
( ! [X2,X3,X0,X1,X4] :
( in(apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK9(X0),X1,X2))),X0)
| sP2(X3,X1,X4)
| ~ element(sK15(sK9(X0),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK9(X0),X1,X2)),the_carrier(X1))
| empty(X0)
| ~ sP2(sK9(X0),X1,X2) )
| ~ spl27_401 ),
inference(avatar_component_clause,[],[f3806]) ).
fof(f7698,plain,
( spl27_142
| spl27_734
| ~ spl27_135
| ~ spl27_400 ),
inference(avatar_split_clause,[],[f3963,f3802,f999,f7696,f1037]) ).
fof(f7696,plain,
( spl27_734
<=> ! [X0,X3,X2,X1] :
( sP2(X0,X1,X2)
| element(apply_netmap(X3,X1,sK14(X0,X1,X2,sK15(sK8(sK6),X1,X3))),sK7)
| ~ sP2(sK8(sK6),X1,X3)
| ~ element(sK14(X0,X1,X2,sK15(sK8(sK6),X1,X3)),the_carrier(X1))
| ~ element(sK15(sK8(sK6),X1,X3),the_carrier(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_734])]) ).
fof(f3802,plain,
( spl27_400
<=> ! [X4,X0,X3,X2,X1] :
( ~ sP2(sK8(X0),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK8(X0),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK8(X0),X1,X2)),the_carrier(X1))
| empty(X0)
| in(apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK8(X0),X1,X2))),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_400])]) ).
fof(f3963,plain,
( ! [X2,X3,X0,X1] :
( sP2(X0,X1,X2)
| ~ element(sK15(sK8(sK6),X1,X3),the_carrier(X1))
| ~ element(sK14(X0,X1,X2,sK15(sK8(sK6),X1,X3)),the_carrier(X1))
| empty(sK6)
| ~ sP2(sK8(sK6),X1,X3)
| element(apply_netmap(X3,X1,sK14(X0,X1,X2,sK15(sK8(sK6),X1,X3))),sK7) )
| ~ spl27_135
| ~ spl27_400 ),
inference(resolution,[],[f3803,f1000]) ).
fof(f3803,plain,
( ! [X2,X3,X0,X1,X4] :
( in(apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK8(X0),X1,X2))),X0)
| sP2(X3,X1,X4)
| ~ element(sK15(sK8(X0),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK8(X0),X1,X2)),the_carrier(X1))
| empty(X0)
| ~ sP2(sK8(X0),X1,X2) )
| ~ spl27_400 ),
inference(avatar_component_clause,[],[f3802]) ).
fof(f7693,plain,
( spl27_142
| spl27_733
| ~ spl27_135
| ~ spl27_399 ),
inference(avatar_split_clause,[],[f3927,f3798,f999,f7691,f1037]) ).
fof(f7691,plain,
( spl27_733
<=> ! [X0,X3,X2,X1] :
( ~ element(sK15(sK10(sK6),X0,X1),the_carrier(X0))
| element(apply_netmap(X1,X0,sK13(X2,X0,X3,sK15(sK10(sK6),X0,X1))),sK7)
| ~ sP2(sK10(sK6),X0,X1)
| ~ element(sK13(X2,X0,X3,sK15(sK10(sK6),X0,X1)),the_carrier(X0))
| ~ sP0(X2,X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_733])]) ).
fof(f3798,plain,
( spl27_399
<=> ! [X4,X0,X3,X2,X1] :
( ~ sP2(sK10(X0),X1,X2)
| ~ element(sK15(sK10(X0),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK10(X0),X1,X2)),the_carrier(X1))
| empty(X0)
| in(apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK10(X0),X1,X2))),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_399])]) ).
fof(f3927,plain,
( ! [X2,X3,X0,X1] :
( ~ element(sK15(sK10(sK6),X0,X1),the_carrier(X0))
| ~ sP0(X2,X0,X3)
| ~ element(sK13(X2,X0,X3,sK15(sK10(sK6),X0,X1)),the_carrier(X0))
| empty(sK6)
| ~ sP2(sK10(sK6),X0,X1)
| element(apply_netmap(X1,X0,sK13(X2,X0,X3,sK15(sK10(sK6),X0,X1))),sK7) )
| ~ spl27_135
| ~ spl27_399 ),
inference(resolution,[],[f3799,f1000]) ).
fof(f3799,plain,
( ! [X2,X3,X0,X1,X4] :
( in(apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK10(X0),X1,X2))),X0)
| ~ element(sK15(sK10(X0),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK10(X0),X1,X2)),the_carrier(X1))
| empty(X0)
| ~ sP2(sK10(X0),X1,X2) )
| ~ spl27_399 ),
inference(avatar_component_clause,[],[f3798]) ).
fof(f7647,plain,
( ~ spl27_201
| ~ spl27_66
| spl27_728 ),
inference(avatar_split_clause,[],[f7632,f7624,f568,f1532]) ).
fof(f7632,plain,
( ~ sP2(sK6,sK5,sK4)
| ~ spl27_66
| spl27_728 ),
inference(resolution,[],[f7626,f569]) ).
fof(f7626,plain,
( ~ element(sK15(sK6,sK5,sK4),the_carrier(sK5))
| spl27_728 ),
inference(avatar_component_clause,[],[f7624]) ).
fof(f7646,plain,
( spl27_142
| spl27_732
| ~ spl27_135
| ~ spl27_398 ),
inference(avatar_split_clause,[],[f3892,f3794,f999,f7644,f1037]) ).
fof(f7644,plain,
( spl27_732
<=> ! [X0,X3,X2,X1] :
( ~ element(sK15(sK9(sK6),X0,X1),the_carrier(X0))
| element(apply_netmap(X1,X0,sK13(X2,X0,X3,sK15(sK9(sK6),X0,X1))),sK7)
| ~ sP2(sK9(sK6),X0,X1)
| ~ element(sK13(X2,X0,X3,sK15(sK9(sK6),X0,X1)),the_carrier(X0))
| ~ sP0(X2,X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_732])]) ).
fof(f3794,plain,
( spl27_398
<=> ! [X4,X0,X3,X2,X1] :
( ~ sP2(sK9(X0),X1,X2)
| ~ element(sK15(sK9(X0),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK9(X0),X1,X2)),the_carrier(X1))
| empty(X0)
| in(apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK9(X0),X1,X2))),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_398])]) ).
fof(f3892,plain,
( ! [X2,X3,X0,X1] :
( ~ element(sK15(sK9(sK6),X0,X1),the_carrier(X0))
| ~ sP0(X2,X0,X3)
| ~ element(sK13(X2,X0,X3,sK15(sK9(sK6),X0,X1)),the_carrier(X0))
| empty(sK6)
| ~ sP2(sK9(sK6),X0,X1)
| element(apply_netmap(X1,X0,sK13(X2,X0,X3,sK15(sK9(sK6),X0,X1))),sK7) )
| ~ spl27_135
| ~ spl27_398 ),
inference(resolution,[],[f3795,f1000]) ).
fof(f3795,plain,
( ! [X2,X3,X0,X1,X4] :
( in(apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK9(X0),X1,X2))),X0)
| ~ element(sK15(sK9(X0),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK9(X0),X1,X2)),the_carrier(X1))
| empty(X0)
| ~ sP2(sK9(X0),X1,X2) )
| ~ spl27_398 ),
inference(avatar_component_clause,[],[f3794]) ).
fof(f7641,plain,
( spl27_142
| spl27_731
| ~ spl27_135
| ~ spl27_397 ),
inference(avatar_split_clause,[],[f3857,f3790,f999,f7639,f1037]) ).
fof(f7639,plain,
( spl27_731
<=> ! [X0,X3,X2,X1] :
( ~ element(sK15(sK8(sK6),X0,X1),the_carrier(X0))
| element(apply_netmap(X1,X0,sK13(X2,X0,X3,sK15(sK8(sK6),X0,X1))),sK7)
| ~ sP2(sK8(sK6),X0,X1)
| ~ element(sK13(X2,X0,X3,sK15(sK8(sK6),X0,X1)),the_carrier(X0))
| ~ sP0(X2,X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_731])]) ).
fof(f3790,plain,
( spl27_397
<=> ! [X4,X0,X3,X2,X1] :
( ~ sP2(sK8(X0),X1,X2)
| ~ element(sK15(sK8(X0),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK8(X0),X1,X2)),the_carrier(X1))
| empty(X0)
| in(apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK8(X0),X1,X2))),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_397])]) ).
fof(f3857,plain,
( ! [X2,X3,X0,X1] :
( ~ element(sK15(sK8(sK6),X0,X1),the_carrier(X0))
| ~ sP0(X2,X0,X3)
| ~ element(sK13(X2,X0,X3,sK15(sK8(sK6),X0,X1)),the_carrier(X0))
| empty(sK6)
| ~ sP2(sK8(sK6),X0,X1)
| element(apply_netmap(X1,X0,sK13(X2,X0,X3,sK15(sK8(sK6),X0,X1))),sK7) )
| ~ spl27_135
| ~ spl27_397 ),
inference(resolution,[],[f3791,f1000]) ).
fof(f3791,plain,
( ! [X2,X3,X0,X1,X4] :
( in(apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK8(X0),X1,X2))),X0)
| ~ element(sK15(sK8(X0),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK8(X0),X1,X2)),the_carrier(X1))
| empty(X0)
| ~ sP2(sK8(X0),X1,X2) )
| ~ spl27_397 ),
inference(avatar_component_clause,[],[f3790]) ).
fof(f7637,plain,
( spl27_730
| ~ spl27_259
| ~ spl27_341 ),
inference(avatar_split_clause,[],[f3054,f3037,f2094,f7635]) ).
fof(f7635,plain,
( spl27_730
<=> ! [X4,X0,X3,X2,X1] :
( ~ empty(X0)
| ~ sP0(powerset(X0),X1,X2)
| ~ element(X3,the_carrier(X1))
| apply_netmap(sK4,sK5,sK12(apply_netmap(X2,X1,sK13(powerset(X0),X1,X2,X3)),sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(apply_netmap(X2,X1,sK13(powerset(X0),X1,X2,X3)),sK5,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_730])]) ).
fof(f3054,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ empty(X0)
| ~ sP0(powerset(X0),X1,X2)
| ~ element(X3,the_carrier(X1))
| apply_netmap(sK4,sK5,sK12(apply_netmap(X2,X1,sK13(powerset(X0),X1,X2,X3)),sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(apply_netmap(X2,X1,sK13(powerset(X0),X1,X2,X3)),sK5,X4)) )
| ~ spl27_259
| ~ spl27_341 ),
inference(resolution,[],[f3038,f2095]) ).
fof(f7631,plain,
( spl27_3
| ~ spl27_59
| spl27_1
| ~ spl27_2
| ~ spl27_300
| ~ spl27_301
| ~ spl27_302
| ~ spl27_728
| spl27_729
| ~ spl27_83
| ~ spl27_249 ),
inference(avatar_split_clause,[],[f2066,f2000,f664,f7628,f7624,f2472,f2468,f2464,f239,f234,f524,f244]) ).
fof(f2066,plain,
( element(apply_netmap(sK4,sK5,sK15(sK6,sK5,sK4)),the_carrier(sK4))
| ~ element(sK15(sK6,sK5,sK4),the_carrier(sK5))
| ~ relation_of2(the_mapping(sK4,sK5),the_carrier(sK5),the_carrier(sK4))
| ~ quasi_total(the_mapping(sK4,sK5),the_carrier(sK5),the_carrier(sK4))
| ~ function(the_mapping(sK4,sK5))
| ~ one_sorted_str(sK4)
| empty_carrier(sK4)
| ~ one_sorted_str(sK5)
| empty_carrier(sK5)
| ~ spl27_83
| ~ spl27_249 ),
inference(superposition,[],[f665,f2002]) ).
fof(f7565,plain,
( spl27_70
| ~ spl27_63
| spl27_725 ),
inference(avatar_split_clause,[],[f7559,f7551,f556,f593]) ).
fof(f7559,plain,
( sP0(sK6,sK5,sK4)
| ~ spl27_63
| spl27_725 ),
inference(resolution,[],[f7553,f557]) ).
fof(f7553,plain,
( ~ element(sK12(sK6,sK5,sK4),the_carrier(sK5))
| spl27_725 ),
inference(avatar_component_clause,[],[f7551]) ).
fof(f7564,plain,
( spl27_3
| ~ spl27_59
| spl27_1
| ~ spl27_2
| ~ spl27_300
| ~ spl27_301
| ~ spl27_302
| spl27_727
| ~ spl27_83
| ~ spl27_238 ),
inference(avatar_split_clause,[],[f1864,f1807,f664,f7562,f2472,f2468,f2464,f239,f234,f524,f244]) ).
fof(f1864,plain,
( ! [X0] :
( element(apply_netmap(sK4,sK5,sK12(sK24,sK5,X0)),the_carrier(sK4))
| ~ element(sK12(sK24,sK5,X0),the_carrier(sK5))
| ~ relation_of2(the_mapping(sK4,sK5),the_carrier(sK5),the_carrier(sK4))
| ~ quasi_total(the_mapping(sK4,sK5),the_carrier(sK5),the_carrier(sK4))
| ~ function(the_mapping(sK4,sK5))
| ~ one_sorted_str(sK4)
| empty_carrier(sK4)
| ~ one_sorted_str(sK5)
| empty_carrier(sK5) )
| ~ spl27_83
| ~ spl27_238 ),
inference(superposition,[],[f665,f1808]) ).
fof(f7558,plain,
( spl27_3
| ~ spl27_59
| spl27_1
| ~ spl27_2
| ~ spl27_300
| ~ spl27_301
| ~ spl27_302
| ~ spl27_725
| spl27_726
| ~ spl27_83
| ~ spl27_211 ),
inference(avatar_split_clause,[],[f1630,f1589,f664,f7555,f7551,f2472,f2468,f2464,f239,f234,f524,f244]) ).
fof(f1630,plain,
( element(apply_netmap(sK4,sK5,sK12(sK6,sK5,sK4)),the_carrier(sK4))
| ~ element(sK12(sK6,sK5,sK4),the_carrier(sK5))
| ~ relation_of2(the_mapping(sK4,sK5),the_carrier(sK5),the_carrier(sK4))
| ~ quasi_total(the_mapping(sK4,sK5),the_carrier(sK5),the_carrier(sK4))
| ~ function(the_mapping(sK4,sK5))
| ~ one_sorted_str(sK4)
| empty_carrier(sK4)
| ~ one_sorted_str(sK5)
| empty_carrier(sK5)
| ~ spl27_83
| ~ spl27_211 ),
inference(superposition,[],[f665,f1591]) ).
fof(f7535,plain,
( spl27_724
| ~ spl27_154
| ~ spl27_271 ),
inference(avatar_split_clause,[],[f2182,f2178,f1170,f7533]) ).
fof(f7533,plain,
( spl27_724
<=> ! [X0,X1] :
( sK17(powerset(X0)) = sK17(powerset(X1))
| ~ empty(X0)
| ~ empty(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_724])]) ).
fof(f2182,plain,
( ! [X0,X1] :
( sK17(powerset(X0)) = sK17(powerset(X1))
| ~ empty(X0)
| ~ empty(X1) )
| ~ spl27_154
| ~ spl27_271 ),
inference(resolution,[],[f2179,f1171]) ).
fof(f7475,plain,
( ~ spl27_59
| spl27_697
| spl27_3
| spl27_723
| spl27_1
| ~ spl27_2
| ~ spl27_4
| ~ spl27_416 ),
inference(avatar_split_clause,[],[f4171,f4156,f249,f239,f234,f7473,f244,f7145,f524]) ).
fof(f7473,plain,
( spl27_723
<=> ! [X0,X1] :
( apply_netmap(sK4,sK5,apply_netmap(sK5,sK11(sK5),sK12(X0,sK11(sK5),X1))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),apply_netmap(sK5,sK11(sK5),sK12(X0,sK11(sK5),X1)))
| sP0(X0,sK11(sK5),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_723])]) ).
fof(f4156,plain,
( spl27_416
<=> ! [X0,X3,X2,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,sK11(X0),sK12(X2,sK11(X0),X3))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,sK11(X0),sK12(X2,sK11(X0),X3)))
| ~ net_str(X0,X1)
| empty_carrier(sK11(X0))
| ~ one_sorted_str(X0)
| sP0(X2,sK11(X0),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_416])]) ).
fof(f4171,plain,
( ! [X0,X1] :
( ~ one_sorted_str(sK4)
| empty_carrier(sK4)
| apply_netmap(sK4,sK5,apply_netmap(sK5,sK11(sK5),sK12(X0,sK11(sK5),X1))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),apply_netmap(sK5,sK11(sK5),sK12(X0,sK11(sK5),X1)))
| empty_carrier(sK5)
| empty_carrier(sK11(sK5))
| ~ one_sorted_str(sK5)
| sP0(X0,sK11(sK5),X1) )
| ~ spl27_4
| ~ spl27_416 ),
inference(resolution,[],[f4157,f251]) ).
fof(f4157,plain,
( ! [X2,X3,X0,X1] :
( ~ net_str(X0,X1)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,sK11(X0),sK12(X2,sK11(X0),X3))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,sK11(X0),sK12(X2,sK11(X0),X3)))
| empty_carrier(X0)
| empty_carrier(sK11(X0))
| ~ one_sorted_str(X0)
| sP0(X2,sK11(X0),X3) )
| ~ spl27_416 ),
inference(avatar_component_clause,[],[f4156]) ).
fof(f7459,plain,
( ~ spl27_59
| spl27_1
| ~ spl27_2
| spl27_3
| spl27_722
| ~ spl27_4
| ~ spl27_415 ),
inference(avatar_split_clause,[],[f4168,f4152,f249,f7457,f244,f239,f234,f524]) ).
fof(f7457,plain,
( spl27_722
<=> ! [X0] :
( empty(sK10(the_carrier(X0)))
| empty_carrier(X0)
| ~ net_str(X0,sK5)
| apply_netmap(sK4,sK5,apply_netmap(sK5,X0,sK17(sK10(the_carrier(X0))))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),apply_netmap(sK5,X0,sK17(sK10(the_carrier(X0)))))
| empty(the_carrier(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_722])]) ).
fof(f4152,plain,
( spl27_415
<=> ! [X2,X0,X1] :
( empty(the_carrier(X0))
| empty(sK10(the_carrier(X0)))
| ~ net_str(X1,X2)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| apply_netmap(X2,X1,apply_netmap(X1,X0,sK17(sK10(the_carrier(X0))))) = apply_on_structs(X1,X2,the_mapping(X2,X1),apply_netmap(X1,X0,sK17(sK10(the_carrier(X0)))))
| ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_415])]) ).
fof(f4168,plain,
( ! [X0] :
( empty(sK10(the_carrier(X0)))
| empty(the_carrier(X0))
| empty_carrier(sK5)
| ~ one_sorted_str(sK4)
| empty_carrier(sK4)
| apply_netmap(sK4,sK5,apply_netmap(sK5,X0,sK17(sK10(the_carrier(X0))))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),apply_netmap(sK5,X0,sK17(sK10(the_carrier(X0)))))
| ~ net_str(X0,sK5)
| empty_carrier(X0)
| ~ one_sorted_str(sK5) )
| ~ spl27_4
| ~ spl27_415 ),
inference(resolution,[],[f4153,f251]) ).
fof(f4153,plain,
( ! [X2,X0,X1] :
( ~ net_str(X1,X2)
| empty(sK10(the_carrier(X0)))
| empty(the_carrier(X0))
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| apply_netmap(X2,X1,apply_netmap(X1,X0,sK17(sK10(the_carrier(X0))))) = apply_on_structs(X1,X2,the_mapping(X2,X1),apply_netmap(X1,X0,sK17(sK10(the_carrier(X0)))))
| ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1) )
| ~ spl27_415 ),
inference(avatar_component_clause,[],[f4152]) ).
fof(f7443,plain,
( ~ spl27_59
| spl27_1
| ~ spl27_2
| spl27_3
| spl27_721
| ~ spl27_4
| ~ spl27_414 ),
inference(avatar_split_clause,[],[f4165,f4148,f249,f7441,f244,f239,f234,f524]) ).
fof(f7441,plain,
( spl27_721
<=> ! [X0] :
( empty(sK9(the_carrier(X0)))
| empty_carrier(X0)
| ~ net_str(X0,sK5)
| apply_netmap(sK4,sK5,apply_netmap(sK5,X0,sK17(sK9(the_carrier(X0))))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),apply_netmap(sK5,X0,sK17(sK9(the_carrier(X0)))))
| empty(the_carrier(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_721])]) ).
fof(f4148,plain,
( spl27_414
<=> ! [X2,X0,X1] :
( empty(the_carrier(X0))
| empty(sK9(the_carrier(X0)))
| ~ net_str(X1,X2)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| apply_netmap(X2,X1,apply_netmap(X1,X0,sK17(sK9(the_carrier(X0))))) = apply_on_structs(X1,X2,the_mapping(X2,X1),apply_netmap(X1,X0,sK17(sK9(the_carrier(X0)))))
| ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_414])]) ).
fof(f4165,plain,
( ! [X0] :
( empty(sK9(the_carrier(X0)))
| empty(the_carrier(X0))
| empty_carrier(sK5)
| ~ one_sorted_str(sK4)
| empty_carrier(sK4)
| apply_netmap(sK4,sK5,apply_netmap(sK5,X0,sK17(sK9(the_carrier(X0))))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),apply_netmap(sK5,X0,sK17(sK9(the_carrier(X0)))))
| ~ net_str(X0,sK5)
| empty_carrier(X0)
| ~ one_sorted_str(sK5) )
| ~ spl27_4
| ~ spl27_414 ),
inference(resolution,[],[f4149,f251]) ).
fof(f4149,plain,
( ! [X2,X0,X1] :
( ~ net_str(X1,X2)
| empty(sK9(the_carrier(X0)))
| empty(the_carrier(X0))
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| apply_netmap(X2,X1,apply_netmap(X1,X0,sK17(sK9(the_carrier(X0))))) = apply_on_structs(X1,X2,the_mapping(X2,X1),apply_netmap(X1,X0,sK17(sK9(the_carrier(X0)))))
| ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1) )
| ~ spl27_414 ),
inference(avatar_component_clause,[],[f4148]) ).
fof(f7427,plain,
( ~ spl27_59
| spl27_1
| ~ spl27_2
| spl27_3
| spl27_720
| ~ spl27_4
| ~ spl27_413 ),
inference(avatar_split_clause,[],[f4162,f4144,f249,f7425,f244,f239,f234,f524]) ).
fof(f7425,plain,
( spl27_720
<=> ! [X0] :
( empty(sK8(the_carrier(X0)))
| empty_carrier(X0)
| ~ net_str(X0,sK5)
| apply_netmap(sK4,sK5,apply_netmap(sK5,X0,sK17(sK8(the_carrier(X0))))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),apply_netmap(sK5,X0,sK17(sK8(the_carrier(X0)))))
| empty(the_carrier(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_720])]) ).
fof(f4144,plain,
( spl27_413
<=> ! [X2,X0,X1] :
( empty(the_carrier(X0))
| empty(sK8(the_carrier(X0)))
| ~ net_str(X1,X2)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| apply_netmap(X2,X1,apply_netmap(X1,X0,sK17(sK8(the_carrier(X0))))) = apply_on_structs(X1,X2,the_mapping(X2,X1),apply_netmap(X1,X0,sK17(sK8(the_carrier(X0)))))
| ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_413])]) ).
fof(f4162,plain,
( ! [X0] :
( empty(sK8(the_carrier(X0)))
| empty(the_carrier(X0))
| empty_carrier(sK5)
| ~ one_sorted_str(sK4)
| empty_carrier(sK4)
| apply_netmap(sK4,sK5,apply_netmap(sK5,X0,sK17(sK8(the_carrier(X0))))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),apply_netmap(sK5,X0,sK17(sK8(the_carrier(X0)))))
| ~ net_str(X0,sK5)
| empty_carrier(X0)
| ~ one_sorted_str(sK5) )
| ~ spl27_4
| ~ spl27_413 ),
inference(resolution,[],[f4145,f251]) ).
fof(f4145,plain,
( ! [X2,X0,X1] :
( ~ net_str(X1,X2)
| empty(sK8(the_carrier(X0)))
| empty(the_carrier(X0))
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| apply_netmap(X2,X1,apply_netmap(X1,X0,sK17(sK8(the_carrier(X0))))) = apply_on_structs(X1,X2,the_mapping(X2,X1),apply_netmap(X1,X0,sK17(sK8(the_carrier(X0)))))
| ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1) )
| ~ spl27_413 ),
inference(avatar_component_clause,[],[f4144]) ).
fof(f7413,plain,
( ~ spl27_59
| spl27_1
| ~ spl27_2
| spl27_3
| spl27_719
| ~ spl27_4
| ~ spl27_412 ),
inference(avatar_split_clause,[],[f4159,f4140,f249,f7411,f244,f239,f234,f524]) ).
fof(f7411,plain,
( spl27_719
<=> ! [X0] :
( empty(sK17(powerset(the_carrier(X0))))
| empty_carrier(X0)
| ~ net_str(X0,sK5)
| apply_netmap(sK4,sK5,apply_netmap(sK5,X0,sK17(sK17(powerset(the_carrier(X0)))))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),apply_netmap(sK5,X0,sK17(sK17(powerset(the_carrier(X0)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_719])]) ).
fof(f4140,plain,
( spl27_412
<=> ! [X2,X0,X1] :
( empty(sK17(powerset(the_carrier(X0))))
| ~ net_str(X1,X2)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| apply_netmap(X2,X1,apply_netmap(X1,X0,sK17(sK17(powerset(the_carrier(X0)))))) = apply_on_structs(X1,X2,the_mapping(X2,X1),apply_netmap(X1,X0,sK17(sK17(powerset(the_carrier(X0))))))
| ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_412])]) ).
fof(f4159,plain,
( ! [X0] :
( empty(sK17(powerset(the_carrier(X0))))
| empty_carrier(sK5)
| ~ one_sorted_str(sK4)
| empty_carrier(sK4)
| apply_netmap(sK4,sK5,apply_netmap(sK5,X0,sK17(sK17(powerset(the_carrier(X0)))))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),apply_netmap(sK5,X0,sK17(sK17(powerset(the_carrier(X0))))))
| ~ net_str(X0,sK5)
| empty_carrier(X0)
| ~ one_sorted_str(sK5) )
| ~ spl27_4
| ~ spl27_412 ),
inference(resolution,[],[f4141,f251]) ).
fof(f4141,plain,
( ! [X2,X0,X1] :
( ~ net_str(X1,X2)
| empty(sK17(powerset(the_carrier(X0))))
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| apply_netmap(X2,X1,apply_netmap(X1,X0,sK17(sK17(powerset(the_carrier(X0)))))) = apply_on_structs(X1,X2,the_mapping(X2,X1),apply_netmap(X1,X0,sK17(sK17(powerset(the_carrier(X0))))))
| ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1) )
| ~ spl27_412 ),
inference(avatar_component_clause,[],[f4140]) ).
fof(f7409,plain,
( spl27_1
| spl27_718
| ~ spl27_144
| ~ spl27_304 ),
inference(avatar_split_clause,[],[f2643,f2480,f1059,f7407,f234]) ).
fof(f7407,plain,
( spl27_718
<=> ! [X0,X1] :
( ~ net_str(X0,X1)
| ~ one_sorted_str(X0)
| ~ net_str(sK4,X0)
| apply_netmap(X1,X0,apply_netmap(X0,sK4,apply_netmap(sK4,sK5,sK17(the_carrier(sK5))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,sK4,apply_netmap(sK4,sK5,sK17(the_carrier(sK5)))))
| empty_carrier(X1)
| ~ one_sorted_str(X1)
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_718])]) ).
fof(f1059,plain,
( spl27_144
<=> ! [X0,X3,X2,X1] :
( apply_netmap(X0,X1,apply_netmap(X1,X2,X3)) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,X3))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ element(X3,the_carrier(X2))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_144])]) ).
fof(f2643,plain,
( ! [X0,X1] :
( ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,sK4,apply_netmap(sK4,sK5,sK17(the_carrier(sK5))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,sK4,apply_netmap(sK4,sK5,sK17(the_carrier(sK5)))))
| ~ net_str(sK4,X0)
| empty_carrier(sK4)
| ~ one_sorted_str(X0) )
| ~ spl27_144
| ~ spl27_304 ),
inference(resolution,[],[f2482,f1060]) ).
fof(f1060,plain,
( ! [X2,X3,X0,X1] :
( ~ element(X3,the_carrier(X2))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,X1,apply_netmap(X1,X2,X3)) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,X3))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1) )
| ~ spl27_144 ),
inference(avatar_component_clause,[],[f1059]) ).
fof(f7391,plain,
( spl27_717
| spl27_1
| ~ spl27_2
| spl27_3
| spl27_290
| spl27_686
| ~ spl27_4
| ~ spl27_407 ),
inference(avatar_split_clause,[],[f4091,f4071,f249,f6939,f2337,f244,f239,f234,f7389]) ).
fof(f7389,plain,
( spl27_717
<=> ! [X0,X1] :
( sP2(X0,sK5,X1)
| apply_netmap(sK4,sK5,sK14(X0,sK5,X1,sK17(sK10(the_carrier(sK5))))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X0,sK5,X1,sK17(sK10(the_carrier(sK5))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_717])]) ).
fof(f4071,plain,
( spl27_407
<=> ! [X0,X3,X2,X1] :
( empty(the_carrier(X0))
| empty(sK10(the_carrier(X0)))
| ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK17(sK10(the_carrier(X0))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK17(sK10(the_carrier(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_407])]) ).
fof(f4091,plain,
( ! [X0,X1] :
( empty(sK10(the_carrier(sK5)))
| empty(the_carrier(sK5))
| empty_carrier(sK5)
| ~ one_sorted_str(sK4)
| empty_carrier(sK4)
| sP2(X0,sK5,X1)
| apply_netmap(sK4,sK5,sK14(X0,sK5,X1,sK17(sK10(the_carrier(sK5))))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X0,sK5,X1,sK17(sK10(the_carrier(sK5))))) )
| ~ spl27_4
| ~ spl27_407 ),
inference(resolution,[],[f4072,f251]) ).
fof(f4072,plain,
( ! [X2,X3,X0,X1] :
( ~ net_str(X0,X1)
| empty(sK10(the_carrier(X0)))
| empty(the_carrier(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK17(sK10(the_carrier(X0))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK17(sK10(the_carrier(X0))))) )
| ~ spl27_407 ),
inference(avatar_component_clause,[],[f4071]) ).
fof(f7374,plain,
( spl27_716
| spl27_1
| ~ spl27_2
| spl27_3
| spl27_290
| spl27_679
| ~ spl27_4
| ~ spl27_406 ),
inference(avatar_split_clause,[],[f4088,f4067,f249,f6880,f2337,f244,f239,f234,f7372]) ).
fof(f7372,plain,
( spl27_716
<=> ! [X0,X1] :
( sP2(X0,sK5,X1)
| apply_netmap(sK4,sK5,sK14(X0,sK5,X1,sK17(sK9(the_carrier(sK5))))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X0,sK5,X1,sK17(sK9(the_carrier(sK5))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_716])]) ).
fof(f4067,plain,
( spl27_406
<=> ! [X0,X3,X2,X1] :
( empty(the_carrier(X0))
| empty(sK9(the_carrier(X0)))
| ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK17(sK9(the_carrier(X0))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK17(sK9(the_carrier(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_406])]) ).
fof(f4088,plain,
( ! [X0,X1] :
( empty(sK9(the_carrier(sK5)))
| empty(the_carrier(sK5))
| empty_carrier(sK5)
| ~ one_sorted_str(sK4)
| empty_carrier(sK4)
| sP2(X0,sK5,X1)
| apply_netmap(sK4,sK5,sK14(X0,sK5,X1,sK17(sK9(the_carrier(sK5))))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X0,sK5,X1,sK17(sK9(the_carrier(sK5))))) )
| ~ spl27_4
| ~ spl27_406 ),
inference(resolution,[],[f4068,f251]) ).
fof(f4068,plain,
( ! [X2,X3,X0,X1] :
( ~ net_str(X0,X1)
| empty(sK9(the_carrier(X0)))
| empty(the_carrier(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK17(sK9(the_carrier(X0))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK17(sK9(the_carrier(X0))))) )
| ~ spl27_406 ),
inference(avatar_component_clause,[],[f4067]) ).
fof(f7357,plain,
( spl27_715
| spl27_1
| ~ spl27_2
| spl27_3
| spl27_290
| spl27_289
| ~ spl27_4
| ~ spl27_405 ),
inference(avatar_split_clause,[],[f4085,f4063,f249,f2333,f2337,f244,f239,f234,f7355]) ).
fof(f7355,plain,
( spl27_715
<=> ! [X0,X1] :
( sP2(X0,sK5,X1)
| apply_netmap(sK4,sK5,sK14(X0,sK5,X1,sK17(sK8(the_carrier(sK5))))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X0,sK5,X1,sK17(sK8(the_carrier(sK5))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_715])]) ).
fof(f4063,plain,
( spl27_405
<=> ! [X0,X3,X2,X1] :
( empty(the_carrier(X0))
| empty(sK8(the_carrier(X0)))
| ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK17(sK8(the_carrier(X0))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK17(sK8(the_carrier(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_405])]) ).
fof(f4085,plain,
( ! [X0,X1] :
( empty(sK8(the_carrier(sK5)))
| empty(the_carrier(sK5))
| empty_carrier(sK5)
| ~ one_sorted_str(sK4)
| empty_carrier(sK4)
| sP2(X0,sK5,X1)
| apply_netmap(sK4,sK5,sK14(X0,sK5,X1,sK17(sK8(the_carrier(sK5))))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X0,sK5,X1,sK17(sK8(the_carrier(sK5))))) )
| ~ spl27_4
| ~ spl27_405 ),
inference(resolution,[],[f4064,f251]) ).
fof(f4064,plain,
( ! [X2,X3,X0,X1] :
( ~ net_str(X0,X1)
| empty(sK8(the_carrier(X0)))
| empty(the_carrier(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK17(sK8(the_carrier(X0))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK17(sK8(the_carrier(X0))))) )
| ~ spl27_405 ),
inference(avatar_component_clause,[],[f4063]) ).
fof(f7340,plain,
( spl27_714
| spl27_1
| ~ spl27_2
| spl27_3
| spl27_292
| ~ spl27_4
| ~ spl27_404 ),
inference(avatar_split_clause,[],[f4082,f4059,f249,f2354,f244,f239,f234,f7338]) ).
fof(f7338,plain,
( spl27_714
<=> ! [X0,X1] :
( sP2(X0,sK5,X1)
| apply_netmap(sK4,sK5,sK14(X0,sK5,X1,sK17(sK17(powerset(the_carrier(sK5)))))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X0,sK5,X1,sK17(sK17(powerset(the_carrier(sK5)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_714])]) ).
fof(f4059,plain,
( spl27_404
<=> ! [X0,X3,X2,X1] :
( empty(sK17(powerset(the_carrier(X0))))
| ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK17(sK17(powerset(the_carrier(X0)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK17(sK17(powerset(the_carrier(X0)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_404])]) ).
fof(f4082,plain,
( ! [X0,X1] :
( empty(sK17(powerset(the_carrier(sK5))))
| empty_carrier(sK5)
| ~ one_sorted_str(sK4)
| empty_carrier(sK4)
| sP2(X0,sK5,X1)
| apply_netmap(sK4,sK5,sK14(X0,sK5,X1,sK17(sK17(powerset(the_carrier(sK5)))))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X0,sK5,X1,sK17(sK17(powerset(the_carrier(sK5)))))) )
| ~ spl27_4
| ~ spl27_404 ),
inference(resolution,[],[f4060,f251]) ).
fof(f4060,plain,
( ! [X2,X3,X0,X1] :
( ~ net_str(X0,X1)
| empty(sK17(powerset(the_carrier(X0))))
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK17(sK17(powerset(the_carrier(X0)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK17(sK17(powerset(the_carrier(X0)))))) )
| ~ spl27_404 ),
inference(avatar_component_clause,[],[f4059]) ).
fof(f7336,plain,
( spl27_1
| spl27_713
| ~ spl27_140
| ~ spl27_304 ),
inference(avatar_split_clause,[],[f2642,f2480,f1029,f7334,f234]) ).
fof(f7334,plain,
( spl27_713
<=> ! [X2,X0,X1] :
( ~ net_str(sK4,X0)
| apply_netmap(X0,sK4,sK14(X1,sK4,X2,apply_netmap(sK4,sK5,sK17(the_carrier(sK5))))) = apply_on_structs(sK4,X0,the_mapping(X0,sK4),sK14(X1,sK4,X2,apply_netmap(sK4,sK5,sK17(the_carrier(sK5)))))
| sP2(X1,sK4,X2)
| empty_carrier(X0)
| ~ one_sorted_str(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_713])]) ).
fof(f1029,plain,
( spl27_140
<=> ! [X4,X0,X3,X2,X1] :
( apply_netmap(X0,X1,sK14(X2,X1,X3,X4)) = apply_on_structs(X1,X0,the_mapping(X0,X1),sK14(X2,X1,X3,X4))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X2,X1,X3)
| ~ element(X4,the_carrier(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_140])]) ).
fof(f2642,plain,
( ! [X2,X0,X1] :
( ~ net_str(sK4,X0)
| empty_carrier(sK4)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,sK4,X2)
| apply_netmap(X0,sK4,sK14(X1,sK4,X2,apply_netmap(sK4,sK5,sK17(the_carrier(sK5))))) = apply_on_structs(sK4,X0,the_mapping(X0,sK4),sK14(X1,sK4,X2,apply_netmap(sK4,sK5,sK17(the_carrier(sK5))))) )
| ~ spl27_140
| ~ spl27_304 ),
inference(resolution,[],[f2482,f1030]) ).
fof(f1030,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ element(X4,the_carrier(X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X2,X1,X3)
| apply_netmap(X0,X1,sK14(X2,X1,X3,X4)) = apply_on_structs(X1,X0,the_mapping(X0,X1),sK14(X2,X1,X3,X4)) )
| ~ spl27_140 ),
inference(avatar_component_clause,[],[f1029]) ).
fof(f7332,plain,
( spl27_712
| ~ spl27_23
| ~ spl27_299 ),
inference(avatar_split_clause,[],[f2518,f2455,f338,f7330]) ).
fof(f7330,plain,
( spl27_712
<=> ! [X2,X0,X1] :
( ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| sP2(X1,sK5,X2)
| apply_netmap(X0,sK5,sK13(sK7,sK5,sK4,sK14(X1,sK5,X2,sK17(the_carrier(sK5))))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK7,sK5,sK4,sK14(X1,sK5,X2,sK17(the_carrier(sK5))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_712])]) ).
fof(f2518,plain,
( ! [X2,X0,X1] :
( ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| sP2(X1,sK5,X2)
| apply_netmap(X0,sK5,sK13(sK7,sK5,sK4,sK14(X1,sK5,X2,sK17(the_carrier(sK5))))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK7,sK5,sK4,sK14(X1,sK5,X2,sK17(the_carrier(sK5))))) )
| ~ spl27_23
| ~ spl27_299 ),
inference(resolution,[],[f2456,f339]) ).
fof(f7328,plain,
( spl27_275
| spl27_3
| ~ spl27_59
| spl27_711
| ~ spl27_174
| ~ spl27_669
| ~ spl27_696 ),
inference(avatar_split_clause,[],[f7138,f7101,f6816,f1340,f7325,f524,f244,f2202]) ).
fof(f7325,plain,
( spl27_711
<=> apply_netmap(sK4,sK5,sK17(sK16(sK5))) = apply(the_mapping(sK4,sK5),sK17(sK16(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_711])]) ).
fof(f6816,plain,
( spl27_669
<=> apply_netmap(sK4,sK5,sK17(sK16(sK5))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK17(sK16(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_669])]) ).
fof(f7138,plain,
( apply_netmap(sK4,sK5,sK17(sK16(sK5))) = apply(the_mapping(sK4,sK5),sK17(sK16(sK5)))
| ~ one_sorted_str(sK5)
| empty_carrier(sK5)
| empty(sK16(sK5))
| ~ spl27_174
| ~ spl27_669
| ~ spl27_696 ),
inference(forward_demodulation,[],[f7131,f6818]) ).
fof(f6818,plain,
( apply_netmap(sK4,sK5,sK17(sK16(sK5))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK17(sK16(sK5)))
| ~ spl27_669 ),
inference(avatar_component_clause,[],[f6816]) ).
fof(f7131,plain,
( apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK17(sK16(sK5))) = apply(the_mapping(sK4,sK5),sK17(sK16(sK5)))
| ~ one_sorted_str(sK5)
| empty_carrier(sK5)
| empty(sK16(sK5))
| ~ spl27_174
| ~ spl27_696 ),
inference(resolution,[],[f7102,f1341]) ).
fof(f7323,plain,
( spl27_710
| spl27_143
| ~ spl27_279
| ~ spl27_311 ),
inference(avatar_split_clause,[],[f2665,f2621,f2232,f1041,f7321]) ).
fof(f7321,plain,
( spl27_710
<=> ! [X3,X4,X5,X2,X1] :
( ~ empty(cartesian_product2(X1,X2))
| apply_netmap(sK4,sK5,sK14(X4,sK5,X5,sK12(sK19(X1,X2),sK5,X3))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X4,sK5,X5,sK12(sK19(X1,X2),sK5,X3)))
| sP2(X4,sK5,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_710])]) ).
fof(f2621,plain,
( spl27_311
<=> ! [X4,X0,X3,X2,X1] :
( ~ empty(cartesian_product2(X0,X1))
| ~ element(X2,the_carrier(X3))
| ~ sP0(sK19(X0,X1),X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_311])]) ).
fof(f2665,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ element(X0,the_carrier(sK5))
| ~ empty(cartesian_product2(X1,X2))
| sP2(X4,sK5,X5)
| apply_netmap(sK4,sK5,sK14(X4,sK5,X5,sK12(sK19(X1,X2),sK5,X3))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X4,sK5,X5,sK12(sK19(X1,X2),sK5,X3))) )
| ~ spl27_279
| ~ spl27_311 ),
inference(resolution,[],[f2622,f2233]) ).
fof(f2622,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sP0(sK19(X0,X1),X3,X4)
| ~ element(X2,the_carrier(X3))
| ~ empty(cartesian_product2(X0,X1)) )
| ~ spl27_311 ),
inference(avatar_component_clause,[],[f2621]) ).
fof(f7319,plain,
( spl27_709
| spl27_143
| ~ spl27_279
| ~ spl27_310 ),
inference(avatar_split_clause,[],[f2662,f2617,f2232,f1041,f7317]) ).
fof(f7317,plain,
( spl27_709
<=> ! [X3,X4,X5,X2,X1] :
( ~ empty(cartesian_product2(X1,X2))
| apply_netmap(sK4,sK5,sK14(X4,sK5,X5,sK12(sK20(X1,X2),sK5,X3))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X4,sK5,X5,sK12(sK20(X1,X2),sK5,X3)))
| sP2(X4,sK5,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_709])]) ).
fof(f2617,plain,
( spl27_310
<=> ! [X4,X0,X3,X2,X1] :
( ~ empty(cartesian_product2(X0,X1))
| ~ element(X2,the_carrier(X3))
| ~ sP0(sK20(X0,X1),X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_310])]) ).
fof(f2662,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ element(X0,the_carrier(sK5))
| ~ empty(cartesian_product2(X1,X2))
| sP2(X4,sK5,X5)
| apply_netmap(sK4,sK5,sK14(X4,sK5,X5,sK12(sK20(X1,X2),sK5,X3))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X4,sK5,X5,sK12(sK20(X1,X2),sK5,X3))) )
| ~ spl27_279
| ~ spl27_310 ),
inference(resolution,[],[f2618,f2233]) ).
fof(f2618,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sP0(sK20(X0,X1),X3,X4)
| ~ element(X2,the_carrier(X3))
| ~ empty(cartesian_product2(X0,X1)) )
| ~ spl27_310 ),
inference(avatar_component_clause,[],[f2617]) ).
fof(f7310,plain,
( spl27_123
| spl27_708
| ~ spl27_50
| ~ spl27_277 ),
inference(avatar_split_clause,[],[f2230,f2220,f465,f7308,f922]) ).
fof(f2220,plain,
( spl27_277
<=> ! [X0,X3,X2,X1] :
( element(apply_netmap(X0,X1,sK14(X2,X1,X3,sK15(sK6,X1,X0))),sK7)
| ~ element(sK14(X2,X1,X3,sK15(sK6,X1,X0)),the_carrier(X1))
| ~ sP2(sK6,X1,X0)
| sP2(X2,X1,X3)
| ~ element(sK15(sK6,X1,X0),the_carrier(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_277])]) ).
fof(f2230,plain,
( ! [X2,X3,X0,X1] :
( ~ element(sK14(X0,X1,X2,sK15(sK6,X1,X3)),the_carrier(X1))
| ~ sP2(sK6,X1,X3)
| sP2(X0,X1,X2)
| ~ element(sK15(sK6,X1,X3),the_carrier(X1))
| empty(sK7)
| in(apply_netmap(X3,X1,sK14(X0,X1,X2,sK15(sK6,X1,X3))),sK7) )
| ~ spl27_50
| ~ spl27_277 ),
inference(resolution,[],[f2221,f466]) ).
fof(f2221,plain,
( ! [X2,X3,X0,X1] :
( element(apply_netmap(X0,X1,sK14(X2,X1,X3,sK15(sK6,X1,X0))),sK7)
| ~ element(sK14(X2,X1,X3,sK15(sK6,X1,X0)),the_carrier(X1))
| ~ sP2(sK6,X1,X0)
| sP2(X2,X1,X3)
| ~ element(sK15(sK6,X1,X0),the_carrier(X1)) )
| ~ spl27_277 ),
inference(avatar_component_clause,[],[f2220]) ).
fof(f7303,plain,
( spl27_123
| spl27_707
| ~ spl27_50
| ~ spl27_276 ),
inference(avatar_split_clause,[],[f2229,f2216,f465,f7301,f922]) ).
fof(f7301,plain,
( spl27_707
<=> ! [X0,X3,X2,X1] :
( ~ element(sK13(X0,X1,X2,sK15(sK6,X1,X3)),the_carrier(X1))
| in(apply_netmap(X3,X1,sK13(X0,X1,X2,sK15(sK6,X1,X3))),sK7)
| ~ sP0(X0,X1,X2)
| ~ element(sK15(sK6,X1,X3),the_carrier(X1))
| ~ sP2(sK6,X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_707])]) ).
fof(f2216,plain,
( spl27_276
<=> ! [X0,X3,X2,X1] :
( element(apply_netmap(X0,X1,sK13(X2,X1,X3,sK15(sK6,X1,X0))),sK7)
| ~ element(sK13(X2,X1,X3,sK15(sK6,X1,X0)),the_carrier(X1))
| ~ sP2(sK6,X1,X0)
| ~ element(sK15(sK6,X1,X0),the_carrier(X1))
| ~ sP0(X2,X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_276])]) ).
fof(f2229,plain,
( ! [X2,X3,X0,X1] :
( ~ element(sK13(X0,X1,X2,sK15(sK6,X1,X3)),the_carrier(X1))
| ~ sP2(sK6,X1,X3)
| ~ element(sK15(sK6,X1,X3),the_carrier(X1))
| ~ sP0(X0,X1,X2)
| empty(sK7)
| in(apply_netmap(X3,X1,sK13(X0,X1,X2,sK15(sK6,X1,X3))),sK7) )
| ~ spl27_50
| ~ spl27_276 ),
inference(resolution,[],[f2217,f466]) ).
fof(f2217,plain,
( ! [X2,X3,X0,X1] :
( element(apply_netmap(X0,X1,sK13(X2,X1,X3,sK15(sK6,X1,X0))),sK7)
| ~ element(sK13(X2,X1,X3,sK15(sK6,X1,X0)),the_carrier(X1))
| ~ sP2(sK6,X1,X0)
| ~ element(sK15(sK6,X1,X0),the_carrier(X1))
| ~ sP0(X2,X1,X3) )
| ~ spl27_276 ),
inference(avatar_component_clause,[],[f2216]) ).
fof(f7281,plain,
( spl27_706
| ~ spl27_66
| ~ spl27_337 ),
inference(avatar_split_clause,[],[f2946,f2940,f568,f7279]) ).
fof(f7279,plain,
( spl27_706
<=> ! [X4,X0,X3,X2,X1] :
( sP2(X0,X1,X2)
| ~ sP2(X3,X1,X4)
| ~ empty(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_706])]) ).
fof(f2940,plain,
( spl27_337
<=> ! [X4,X0,X3,X2,X1] :
( ~ sP2(X0,X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(X0,X1,X2),the_carrier(X1))
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_337])]) ).
fof(f2946,plain,
( ! [X2,X3,X0,X1,X4] :
( sP2(X0,X1,X2)
| ~ sP2(X3,X1,X4)
| ~ empty(X3) )
| ~ spl27_66
| ~ spl27_337 ),
inference(duplicate_literal_removal,[],[f2945]) ).
fof(f2945,plain,
( ! [X2,X3,X0,X1,X4] :
( sP2(X0,X1,X2)
| ~ sP2(X3,X1,X4)
| ~ empty(X3)
| ~ sP2(X3,X1,X4) )
| ~ spl27_66
| ~ spl27_337 ),
inference(resolution,[],[f2941,f569]) ).
fof(f2941,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ element(sK15(X0,X1,X2),the_carrier(X1))
| sP2(X3,X1,X4)
| ~ sP2(X0,X1,X2)
| ~ empty(X0) )
| ~ spl27_337 ),
inference(avatar_component_clause,[],[f2940]) ).
fof(f7277,plain,
( spl27_705
| ~ spl27_66
| ~ spl27_336 ),
inference(avatar_split_clause,[],[f2944,f2936,f568,f7275]) ).
fof(f7275,plain,
( spl27_705
<=> ! [X4,X0,X3,X2,X1] :
( ~ sP2(X0,X1,X2)
| ~ sP0(X3,X1,X4)
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_705])]) ).
fof(f2936,plain,
( spl27_336
<=> ! [X4,X0,X3,X2,X1] :
( ~ sP2(X0,X1,X2)
| ~ element(sK15(X0,X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_336])]) ).
fof(f2944,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sP2(X0,X1,X2)
| ~ sP0(X3,X1,X4)
| ~ empty(X0) )
| ~ spl27_66
| ~ spl27_336 ),
inference(duplicate_literal_removal,[],[f2943]) ).
fof(f2943,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sP2(X0,X1,X2)
| ~ sP0(X3,X1,X4)
| ~ empty(X0)
| ~ sP2(X0,X1,X2) )
| ~ spl27_66
| ~ spl27_336 ),
inference(resolution,[],[f2937,f569]) ).
fof(f2937,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ element(sK15(X0,X1,X2),the_carrier(X1))
| ~ sP2(X0,X1,X2)
| ~ sP0(X3,X1,X4)
| ~ empty(X0) )
| ~ spl27_336 ),
inference(avatar_component_clause,[],[f2936]) ).
fof(f7273,plain,
( spl27_704
| ~ spl27_35
| ~ spl27_295 ),
inference(avatar_split_clause,[],[f2423,f2374,f396,f7271]) ).
fof(f7271,plain,
( spl27_704
<=> ! [X0] :
( empty(sK10(X0))
| empty(X0)
| ~ in(X0,sK17(sK10(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_704])]) ).
fof(f2423,plain,
( ! [X0] :
( empty(sK10(X0))
| empty(X0)
| ~ in(X0,sK17(sK10(X0))) )
| ~ spl27_35
| ~ spl27_295 ),
inference(resolution,[],[f2375,f397]) ).
fof(f7269,plain,
( spl27_703
| ~ spl27_35
| ~ spl27_294 ),
inference(avatar_split_clause,[],[f2406,f2370,f396,f7267]) ).
fof(f7267,plain,
( spl27_703
<=> ! [X0] :
( empty(sK9(X0))
| empty(X0)
| ~ in(X0,sK17(sK9(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_703])]) ).
fof(f2406,plain,
( ! [X0] :
( empty(sK9(X0))
| empty(X0)
| ~ in(X0,sK17(sK9(X0))) )
| ~ spl27_35
| ~ spl27_294 ),
inference(resolution,[],[f2371,f397]) ).
fof(f7265,plain,
( spl27_702
| ~ spl27_35
| ~ spl27_281 ),
inference(avatar_split_clause,[],[f2389,f2257,f396,f7263]) ).
fof(f7263,plain,
( spl27_702
<=> ! [X0] :
( empty(sK8(X0))
| empty(X0)
| ~ in(X0,sK17(sK8(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_702])]) ).
fof(f2389,plain,
( ! [X0] :
( empty(sK8(X0))
| empty(X0)
| ~ in(X0,sK17(sK8(X0))) )
| ~ spl27_35
| ~ spl27_281 ),
inference(resolution,[],[f2258,f397]) ).
fof(f7260,plain,
( ~ spl27_59
| spl27_1
| ~ spl27_2
| spl27_3
| spl27_701
| ~ spl27_4
| ~ spl27_390 ),
inference(avatar_split_clause,[],[f3742,f3731,f249,f7258,f244,f239,f234,f524]) ).
fof(f7258,plain,
( spl27_701
<=> ! [X0] :
( empty_carrier(X0)
| ~ net_str(X0,sK5)
| apply_netmap(sK4,sK5,apply_netmap(sK5,X0,sK17(sK16(X0)))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),apply_netmap(sK5,X0,sK17(sK16(X0))))
| ~ one_sorted_str(X0)
| empty(sK16(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_701])]) ).
fof(f3731,plain,
( spl27_390
<=> ! [X2,X0,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(sK16(X0))
| ~ net_str(X1,X2)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| apply_netmap(X2,X1,apply_netmap(X1,X0,sK17(sK16(X0)))) = apply_on_structs(X1,X2,the_mapping(X2,X1),apply_netmap(X1,X0,sK17(sK16(X0))))
| ~ net_str(X0,X1)
| ~ one_sorted_str(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_390])]) ).
fof(f3742,plain,
( ! [X0] :
( empty_carrier(X0)
| empty(sK16(X0))
| ~ one_sorted_str(X0)
| empty_carrier(sK5)
| ~ one_sorted_str(sK4)
| empty_carrier(sK4)
| apply_netmap(sK4,sK5,apply_netmap(sK5,X0,sK17(sK16(X0)))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),apply_netmap(sK5,X0,sK17(sK16(X0))))
| ~ net_str(X0,sK5)
| ~ one_sorted_str(sK5) )
| ~ spl27_4
| ~ spl27_390 ),
inference(resolution,[],[f3732,f251]) ).
fof(f3732,plain,
( ! [X2,X0,X1] :
( ~ net_str(X1,X2)
| empty_carrier(X0)
| empty(sK16(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| apply_netmap(X2,X1,apply_netmap(X1,X0,sK17(sK16(X0)))) = apply_on_structs(X1,X2,the_mapping(X2,X1),apply_netmap(X1,X0,sK17(sK16(X0))))
| ~ net_str(X0,X1)
| ~ one_sorted_str(X1) )
| ~ spl27_390 ),
inference(avatar_component_clause,[],[f3731]) ).
fof(f7256,plain,
( spl27_700
| ~ spl27_23
| ~ spl27_151
| ~ spl27_696 ),
inference(avatar_split_clause,[],[f7139,f7101,f1137,f338,f7253]) ).
fof(f7253,plain,
( spl27_700
<=> apply_netmap(sK4,sK5,sK17(the_carrier(sK5))) = apply(the_mapping(sK4,sK5),sK17(the_carrier(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_700])]) ).
fof(f1137,plain,
( spl27_151
<=> apply_netmap(sK4,sK5,sK17(the_carrier(sK5))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK17(the_carrier(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_151])]) ).
fof(f7139,plain,
( apply_netmap(sK4,sK5,sK17(the_carrier(sK5))) = apply(the_mapping(sK4,sK5),sK17(the_carrier(sK5)))
| ~ spl27_23
| ~ spl27_151
| ~ spl27_696 ),
inference(forward_demodulation,[],[f7132,f1139]) ).
fof(f1139,plain,
( apply_netmap(sK4,sK5,sK17(the_carrier(sK5))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK17(the_carrier(sK5)))
| ~ spl27_151 ),
inference(avatar_component_clause,[],[f1137]) ).
fof(f7132,plain,
( apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK17(the_carrier(sK5))) = apply(the_mapping(sK4,sK5),sK17(the_carrier(sK5)))
| ~ spl27_23
| ~ spl27_696 ),
inference(resolution,[],[f7102,f339]) ).
fof(f7240,plain,
( spl27_699
| spl27_1
| ~ spl27_2
| ~ spl27_59
| spl27_275
| spl27_3
| ~ spl27_4
| ~ spl27_389 ),
inference(avatar_split_clause,[],[f3727,f3724,f249,f244,f2202,f524,f239,f234,f7238]) ).
fof(f7238,plain,
( spl27_699
<=> ! [X0,X1] :
( sP2(X0,sK5,X1)
| apply_netmap(sK4,sK5,sK14(X0,sK5,X1,sK17(sK16(sK5)))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X0,sK5,X1,sK17(sK16(sK5)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_699])]) ).
fof(f3724,plain,
( spl27_389
<=> ! [X0,X3,X2,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(sK16(X0))
| ~ net_str(X0,X1)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK17(sK16(X0)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK17(sK16(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_389])]) ).
fof(f3727,plain,
( ! [X0,X1] :
( empty_carrier(sK5)
| empty(sK16(sK5))
| ~ one_sorted_str(sK5)
| ~ one_sorted_str(sK4)
| empty_carrier(sK4)
| sP2(X0,sK5,X1)
| apply_netmap(sK4,sK5,sK14(X0,sK5,X1,sK17(sK16(sK5)))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X0,sK5,X1,sK17(sK16(sK5)))) )
| ~ spl27_4
| ~ spl27_389 ),
inference(resolution,[],[f3725,f251]) ).
fof(f3725,plain,
( ! [X2,X3,X0,X1] :
( ~ net_str(X0,X1)
| empty_carrier(X0)
| empty(sK16(X0))
| ~ one_sorted_str(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK17(sK16(X0)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK17(sK16(X0)))) )
| ~ spl27_389 ),
inference(avatar_component_clause,[],[f3724]) ).
fof(f7152,plain,
( ~ spl27_59
| spl27_697
| spl27_3
| spl27_698
| spl27_1
| ~ spl27_2
| ~ spl27_4
| ~ spl27_386 ),
inference(avatar_split_clause,[],[f3674,f3671,f249,f239,f234,f7149,f244,f7145,f524]) ).
fof(f7149,plain,
( spl27_698
<=> apply_netmap(sK4,sK5,apply_netmap(sK5,sK11(sK5),sK17(the_carrier(sK11(sK5))))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),apply_netmap(sK5,sK11(sK5),sK17(the_carrier(sK11(sK5))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_698])]) ).
fof(f3671,plain,
( spl27_386
<=> ! [X0,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,sK11(X0),sK17(the_carrier(sK11(X0))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,sK11(X0),sK17(the_carrier(sK11(X0)))))
| ~ net_str(X0,X1)
| empty_carrier(sK11(X0))
| ~ one_sorted_str(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_386])]) ).
fof(f3674,plain,
( ~ one_sorted_str(sK4)
| empty_carrier(sK4)
| apply_netmap(sK4,sK5,apply_netmap(sK5,sK11(sK5),sK17(the_carrier(sK11(sK5))))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),apply_netmap(sK5,sK11(sK5),sK17(the_carrier(sK11(sK5)))))
| empty_carrier(sK5)
| empty_carrier(sK11(sK5))
| ~ one_sorted_str(sK5)
| ~ spl27_4
| ~ spl27_386 ),
inference(resolution,[],[f3672,f251]) ).
fof(f3672,plain,
( ! [X0,X1] :
( ~ net_str(X0,X1)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,sK11(X0),sK17(the_carrier(sK11(X0))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,sK11(X0),sK17(the_carrier(sK11(X0)))))
| empty_carrier(X0)
| empty_carrier(sK11(X0))
| ~ one_sorted_str(X0) )
| ~ spl27_386 ),
inference(avatar_component_clause,[],[f3671]) ).
fof(f7103,plain,
( spl27_3
| ~ spl27_59
| spl27_1
| ~ spl27_2
| ~ spl27_300
| ~ spl27_301
| spl27_696
| ~ spl27_84
| ~ spl27_302 ),
inference(avatar_split_clause,[],[f2572,f2472,f671,f7101,f2468,f2464,f239,f234,f524,f244]) ).
fof(f671,plain,
( spl27_84
<=> ! [X0,X3,X2,X1] :
( apply_on_structs(X0,X1,X2,X3) = apply(X2,X3)
| ~ element(X3,the_carrier(X0))
| ~ relation_of2(X2,the_carrier(X0),the_carrier(X1))
| ~ quasi_total(X2,the_carrier(X0),the_carrier(X1))
| ~ function(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_84])]) ).
fof(f2572,plain,
( ! [X0] :
( ~ element(X0,the_carrier(sK5))
| apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),X0) = apply(the_mapping(sK4,sK5),X0)
| ~ quasi_total(the_mapping(sK4,sK5),the_carrier(sK5),the_carrier(sK4))
| ~ function(the_mapping(sK4,sK5))
| ~ one_sorted_str(sK4)
| empty_carrier(sK4)
| ~ one_sorted_str(sK5)
| empty_carrier(sK5) )
| ~ spl27_84
| ~ spl27_302 ),
inference(resolution,[],[f2473,f672]) ).
fof(f672,plain,
( ! [X2,X3,X0,X1] :
( ~ relation_of2(X2,the_carrier(X0),the_carrier(X1))
| ~ element(X3,the_carrier(X0))
| apply_on_structs(X0,X1,X2,X3) = apply(X2,X3)
| ~ quasi_total(X2,the_carrier(X0),the_carrier(X1))
| ~ function(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) )
| ~ spl27_84 ),
inference(avatar_component_clause,[],[f671]) ).
fof(f7099,plain,
( spl27_695
| ~ spl27_62
| ~ spl27_279 ),
inference(avatar_split_clause,[],[f2244,f2232,f552,f7097]) ).
fof(f7097,plain,
( spl27_695
<=> ! [X0,X3,X2,X1] :
( sP2(X2,sK5,X3)
| apply_netmap(sK4,sK5,sK14(X2,sK5,X3,sK12(X0,sK5,X1))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X2,sK5,X3,sK12(X0,sK5,X1)))
| is_often_in(X1,sK5,X0)
| ~ sP1(X1,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_695])]) ).
fof(f2244,plain,
( ! [X2,X3,X0,X1] :
( sP2(X2,sK5,X3)
| apply_netmap(sK4,sK5,sK14(X2,sK5,X3,sK12(X0,sK5,X1))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X2,sK5,X3,sK12(X0,sK5,X1)))
| is_often_in(X1,sK5,X0)
| ~ sP1(X1,sK5) )
| ~ spl27_62
| ~ spl27_279 ),
inference(resolution,[],[f2233,f553]) ).
fof(f7095,plain,
( spl27_694
| ~ spl27_180
| ~ spl27_623 ),
inference(avatar_split_clause,[],[f6558,f6523,f1373,f7093]) ).
fof(f7093,plain,
( spl27_694
<=> ! [X0,X1] :
( ~ in(powerset(cartesian_product2(X0,X1)),the_mapping(sK4,sK5))
| ~ relation_of2_as_subset(cartesian_product2(the_carrier(sK5),the_carrier(sK4)),X0,X1)
| empty(powerset(cartesian_product2(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_694])]) ).
fof(f1373,plain,
( spl27_180
<=> ! [X2,X0,X1] :
( empty(powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(X2,X0,X1)
| ~ in(powerset(cartesian_product2(X0,X1)),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_180])]) ).
fof(f6523,plain,
( spl27_623
<=> ! [X0] :
( ~ in(X0,the_mapping(sK4,sK5))
| in(X0,cartesian_product2(the_carrier(sK5),the_carrier(sK4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_623])]) ).
fof(f6558,plain,
( ! [X0,X1] :
( ~ in(powerset(cartesian_product2(X0,X1)),the_mapping(sK4,sK5))
| ~ relation_of2_as_subset(cartesian_product2(the_carrier(sK5),the_carrier(sK4)),X0,X1)
| empty(powerset(cartesian_product2(X0,X1))) )
| ~ spl27_180
| ~ spl27_623 ),
inference(resolution,[],[f6524,f1374]) ).
fof(f1374,plain,
( ! [X2,X0,X1] :
( ~ in(powerset(cartesian_product2(X0,X1)),X2)
| ~ relation_of2_as_subset(X2,X0,X1)
| empty(powerset(cartesian_product2(X0,X1))) )
| ~ spl27_180 ),
inference(avatar_component_clause,[],[f1373]) ).
fof(f6524,plain,
( ! [X0] :
( in(X0,cartesian_product2(the_carrier(sK5),the_carrier(sK4)))
| ~ in(X0,the_mapping(sK4,sK5)) )
| ~ spl27_623 ),
inference(avatar_component_clause,[],[f6523]) ).
fof(f7091,plain,
( spl27_693
| ~ spl27_65
| ~ spl27_279 ),
inference(avatar_split_clause,[],[f2239,f2232,f564,f7089]) ).
fof(f7089,plain,
( spl27_693
<=> ! [X0,X3,X2,X1] :
( sP0(X2,sK5,X3)
| apply_netmap(sK4,sK5,sK14(X0,sK5,X1,sK12(X2,sK5,X3))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X0,sK5,X1,sK12(X2,sK5,X3)))
| is_eventually_in(X1,sK5,X0)
| ~ sP3(X1,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_693])]) ).
fof(f2239,plain,
( ! [X2,X3,X0,X1] :
( sP0(X2,sK5,X3)
| apply_netmap(sK4,sK5,sK14(X0,sK5,X1,sK12(X2,sK5,X3))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X0,sK5,X1,sK12(X2,sK5,X3)))
| is_eventually_in(X1,sK5,X0)
| ~ sP3(X1,sK5) )
| ~ spl27_65
| ~ spl27_279 ),
inference(resolution,[],[f2233,f565]) ).
fof(f7074,plain,
( spl27_692
| ~ spl27_154
| ~ spl27_262 ),
inference(avatar_split_clause,[],[f2121,f2117,f1170,f7072]) ).
fof(f7072,plain,
( spl27_692
<=> ! [X0] :
( sK24 = sK17(powerset(sK17(powerset(X0))))
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_692])]) ).
fof(f2121,plain,
( ! [X0] :
( sK24 = sK17(powerset(sK17(powerset(X0))))
| ~ empty(X0) )
| ~ spl27_154
| ~ spl27_262 ),
inference(resolution,[],[f2118,f1171]) ).
fof(f7061,plain,
( spl27_143
| spl27_691
| ~ spl27_117
| ~ spl27_279 ),
inference(avatar_split_clause,[],[f2243,f2232,f875,f7059,f1041]) ).
fof(f7059,plain,
( spl27_691
<=> ! [X0,X3,X2,X1] :
( sP2(X2,sK5,X3)
| ~ empty(X0)
| apply_netmap(sK4,sK5,sK14(X2,sK5,X3,sK12(X0,sK5,X1))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X2,sK5,X3,sK12(X0,sK5,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_691])]) ).
fof(f2243,plain,
( ! [X2,X3,X0,X1,X4] :
( sP2(X2,sK5,X3)
| apply_netmap(sK4,sK5,sK14(X2,sK5,X3,sK12(X0,sK5,X1))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X2,sK5,X3,sK12(X0,sK5,X1)))
| ~ element(X4,the_carrier(sK5))
| ~ empty(X0) )
| ~ spl27_117
| ~ spl27_279 ),
inference(resolution,[],[f2233,f876]) ).
fof(f7057,plain,
( spl27_1
| ~ spl27_2
| spl27_690
| ~ spl27_4
| ~ spl27_280 ),
inference(avatar_split_clause,[],[f2255,f2252,f249,f7055,f239,f234]) ).
fof(f7055,plain,
( spl27_690
<=> ! [X0] :
( ~ net_str(sK4,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| apply_netmap(X0,sK4,apply_netmap(sK4,sK5,sK15(sK6,sK5,sK4))) = apply_on_structs(sK4,X0,the_mapping(X0,sK4),apply_netmap(sK4,sK5,sK15(sK6,sK5,sK4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_690])]) ).
fof(f2252,plain,
( spl27_280
<=> ! [X0,X1] :
( empty_carrier(X0)
| ~ net_str(X0,X1)
| ~ one_sorted_str(X0)
| ~ net_str(sK5,X0)
| apply_netmap(X1,X0,apply_netmap(X0,sK5,sK15(sK6,sK5,sK4))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,sK5,sK15(sK6,sK5,sK4)))
| ~ one_sorted_str(X1)
| empty_carrier(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_280])]) ).
fof(f2255,plain,
( ! [X0] :
( ~ net_str(sK4,X0)
| ~ one_sorted_str(sK4)
| empty_carrier(sK4)
| apply_netmap(X0,sK4,apply_netmap(sK4,sK5,sK15(sK6,sK5,sK4))) = apply_on_structs(sK4,X0,the_mapping(X0,sK4),apply_netmap(sK4,sK5,sK15(sK6,sK5,sK4)))
| ~ one_sorted_str(X0)
| empty_carrier(X0) )
| ~ spl27_4
| ~ spl27_280 ),
inference(resolution,[],[f2253,f251]) ).
fof(f2253,plain,
( ! [X0,X1] :
( ~ net_str(sK5,X0)
| ~ net_str(X0,X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X1,X0,apply_netmap(X0,sK5,sK15(sK6,sK5,sK4))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,sK5,sK15(sK6,sK5,sK4)))
| ~ one_sorted_str(X1)
| empty_carrier(X1) )
| ~ spl27_280 ),
inference(avatar_component_clause,[],[f2252]) ).
fof(f6990,plain,
( spl27_290
| ~ spl27_28
| ~ spl27_686 ),
inference(avatar_split_clause,[],[f6943,f6939,f363,f2337]) ).
fof(f363,plain,
( spl27_28
<=> ! [X0] :
( ~ empty(sK10(X0))
| empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_28])]) ).
fof(f6943,plain,
( empty(the_carrier(sK5))
| ~ spl27_28
| ~ spl27_686 ),
inference(resolution,[],[f6941,f364]) ).
fof(f364,plain,
( ! [X0] :
( ~ empty(sK10(X0))
| empty(X0) )
| ~ spl27_28 ),
inference(avatar_component_clause,[],[f363]) ).
fof(f6941,plain,
( empty(sK10(the_carrier(sK5)))
| ~ spl27_686 ),
inference(avatar_component_clause,[],[f6939]) ).
fof(f6989,plain,
( ~ spl27_2
| spl27_1
| spl27_689
| ~ spl27_4
| ~ spl27_286 ),
inference(avatar_split_clause,[],[f2323,f2316,f249,f6987,f234,f239]) ).
fof(f2316,plain,
( spl27_286
<=> ! [X2,X0,X1] :
( apply_netmap(X0,sK5,sK13(sK7,sK5,sK4,sK12(X1,sK5,X2))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK7,sK5,sK4,sK12(X1,sK5,X2)))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| sP0(X1,sK5,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_286])]) ).
fof(f2323,plain,
( ! [X0,X1] :
( apply_netmap(sK4,sK5,sK13(sK7,sK5,sK4,sK12(X0,sK5,X1))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK13(sK7,sK5,sK4,sK12(X0,sK5,X1)))
| empty_carrier(sK4)
| ~ one_sorted_str(sK4)
| sP0(X0,sK5,X1) )
| ~ spl27_4
| ~ spl27_286 ),
inference(resolution,[],[f2317,f251]) ).
fof(f2317,plain,
( ! [X2,X0,X1] :
( ~ net_str(sK5,X0)
| apply_netmap(X0,sK5,sK13(sK7,sK5,sK4,sK12(X1,sK5,X2))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK7,sK5,sK4,sK12(X1,sK5,X2)))
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| sP0(X1,sK5,X2) )
| ~ spl27_286 ),
inference(avatar_component_clause,[],[f2316]) ).
fof(f6974,plain,
( spl27_143
| spl27_688
| ~ spl27_156
| ~ spl27_279 ),
inference(avatar_split_clause,[],[f2250,f2232,f1185,f6972,f1041]) ).
fof(f6972,plain,
( spl27_688
<=> ! [X2,X0,X1] :
( sP2(X1,sK5,X2)
| apply_netmap(sK4,sK5,sK14(X1,sK5,X2,sK12(sK24,sK5,X0))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X1,sK5,X2,sK12(sK24,sK5,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_688])]) ).
fof(f2250,plain,
( ! [X2,X3,X0,X1] :
( sP2(X1,sK5,X2)
| apply_netmap(sK4,sK5,sK14(X1,sK5,X2,sK12(sK24,sK5,X0))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X1,sK5,X2,sK12(sK24,sK5,X0)))
| ~ element(X3,the_carrier(sK5)) )
| ~ spl27_156
| ~ spl27_279 ),
inference(resolution,[],[f2233,f1186]) ).
fof(f6959,plain,
( spl27_1
| spl27_687
| ~ spl27_2
| ~ spl27_4
| ~ spl27_278 ),
inference(avatar_split_clause,[],[f2228,f2225,f249,f239,f6957,f234]) ).
fof(f6957,plain,
( spl27_687
<=> ! [X0,X1] :
( apply_netmap(sK4,sK5,sK14(X0,sK5,X1,sK15(sK6,sK5,sK4))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X0,sK5,X1,sK15(sK6,sK5,sK4)))
| sP2(X0,sK5,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_687])]) ).
fof(f2225,plain,
( spl27_278
<=> ! [X2,X0,X1] :
( ~ one_sorted_str(X0)
| ~ net_str(sK5,X0)
| apply_netmap(X0,sK5,sK14(X1,sK5,X2,sK15(sK6,sK5,sK4))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK14(X1,sK5,X2,sK15(sK6,sK5,sK4)))
| sP2(X1,sK5,X2)
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_278])]) ).
fof(f2228,plain,
( ! [X0,X1] :
( ~ one_sorted_str(sK4)
| apply_netmap(sK4,sK5,sK14(X0,sK5,X1,sK15(sK6,sK5,sK4))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X0,sK5,X1,sK15(sK6,sK5,sK4)))
| sP2(X0,sK5,X1)
| empty_carrier(sK4) )
| ~ spl27_4
| ~ spl27_278 ),
inference(resolution,[],[f2226,f251]) ).
fof(f2226,plain,
( ! [X2,X0,X1] :
( ~ net_str(sK5,X0)
| ~ one_sorted_str(X0)
| apply_netmap(X0,sK5,sK14(X1,sK5,X2,sK15(sK6,sK5,sK4))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK14(X1,sK5,X2,sK15(sK6,sK5,sK4)))
| sP2(X1,sK5,X2)
| empty_carrier(X0) )
| ~ spl27_278 ),
inference(avatar_component_clause,[],[f2225]) ).
fof(f6942,plain,
( spl27_1
| ~ spl27_2
| spl27_3
| spl27_290
| spl27_685
| spl27_686
| ~ spl27_4
| ~ spl27_378 ),
inference(avatar_split_clause,[],[f3554,f3542,f249,f6939,f6935,f2337,f244,f239,f234]) ).
fof(f3542,plain,
( spl27_378
<=> ! [X0,X1] :
( empty(the_carrier(X0))
| empty(sK10(the_carrier(X0)))
| apply_netmap(X1,X0,sK17(sK10(the_carrier(X0)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK17(sK10(the_carrier(X0))))
| ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_378])]) ).
fof(f3554,plain,
( empty(sK10(the_carrier(sK5)))
| apply_netmap(sK4,sK5,sK17(sK10(the_carrier(sK5)))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK17(sK10(the_carrier(sK5))))
| empty(the_carrier(sK5))
| empty_carrier(sK5)
| ~ one_sorted_str(sK4)
| empty_carrier(sK4)
| ~ spl27_4
| ~ spl27_378 ),
inference(resolution,[],[f3543,f251]) ).
fof(f3543,plain,
( ! [X0,X1] :
( ~ net_str(X0,X1)
| empty(sK10(the_carrier(X0)))
| apply_netmap(X1,X0,sK17(sK10(the_carrier(X0)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK17(sK10(the_carrier(X0))))
| empty(the_carrier(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1) )
| ~ spl27_378 ),
inference(avatar_component_clause,[],[f3542]) ).
fof(f6930,plain,
( spl27_290
| ~ spl27_26
| ~ spl27_679 ),
inference(avatar_split_clause,[],[f6884,f6880,f355,f2337]) ).
fof(f6884,plain,
( empty(the_carrier(sK5))
| ~ spl27_26
| ~ spl27_679 ),
inference(resolution,[],[f6882,f356]) ).
fof(f6882,plain,
( empty(sK9(the_carrier(sK5)))
| ~ spl27_679 ),
inference(avatar_component_clause,[],[f6880]) ).
fof(f6929,plain,
( ~ spl27_2
| spl27_1
| spl27_684
| ~ spl27_4
| ~ spl27_272 ),
inference(avatar_split_clause,[],[f2195,f2188,f249,f6927,f234,f239]) ).
fof(f6927,plain,
( spl27_684
<=> ! [X0,X1] :
( apply_netmap(sK4,sK5,sK13(sK6,sK5,sK4,sK12(X0,sK5,X1))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK13(sK6,sK5,sK4,sK12(X0,sK5,X1)))
| sP0(X0,sK5,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_684])]) ).
fof(f2195,plain,
( ! [X0,X1] :
( apply_netmap(sK4,sK5,sK13(sK6,sK5,sK4,sK12(X0,sK5,X1))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK13(sK6,sK5,sK4,sK12(X0,sK5,X1)))
| empty_carrier(sK4)
| ~ one_sorted_str(sK4)
| sP0(X0,sK5,X1) )
| ~ spl27_4
| ~ spl27_272 ),
inference(resolution,[],[f2189,f251]) ).
fof(f6924,plain,
( spl27_683
| ~ spl27_201
| ~ spl27_287 ),
inference(avatar_split_clause,[],[f2324,f2320,f1532,f6922]) ).
fof(f6922,plain,
( spl27_683
<=> ! [X0] :
( ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| apply_netmap(X0,sK5,sK13(sK7,sK5,sK4,sK15(sK6,sK5,sK4))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK7,sK5,sK4,sK15(sK6,sK5,sK4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_683])]) ).
fof(f2324,plain,
( ! [X0] :
( ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| apply_netmap(X0,sK5,sK13(sK7,sK5,sK4,sK15(sK6,sK5,sK4))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK7,sK5,sK4,sK15(sK6,sK5,sK4))) )
| ~ spl27_201
| ~ spl27_287 ),
inference(resolution,[],[f2321,f1534]) ).
fof(f6920,plain,
( spl27_682
| ~ spl27_201
| ~ spl27_273 ),
inference(avatar_split_clause,[],[f2196,f2192,f1532,f6918]) ).
fof(f6918,plain,
( spl27_682
<=> ! [X0] :
( ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| apply_netmap(X0,sK5,sK13(sK6,sK5,sK4,sK15(sK6,sK5,sK4))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK6,sK5,sK4,sK15(sK6,sK5,sK4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_682])]) ).
fof(f2196,plain,
( ! [X0] :
( ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| apply_netmap(X0,sK5,sK13(sK6,sK5,sK4,sK15(sK6,sK5,sK4))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK6,sK5,sK4,sK15(sK6,sK5,sK4))) )
| ~ spl27_201
| ~ spl27_273 ),
inference(resolution,[],[f2193,f1534]) ).
fof(f6908,plain,
( spl27_681
| ~ spl27_66
| ~ spl27_326 ),
inference(avatar_split_clause,[],[f2760,f2707,f568,f6906]) ).
fof(f6906,plain,
( spl27_681
<=> ! [X0,X3,X2,X1] :
( sP2(X0,X1,X2)
| ~ sP2(sK24,X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_681])]) ).
fof(f2707,plain,
( spl27_326
<=> ! [X0,X3,X2,X1] :
( ~ sP2(sK24,X0,X1)
| sP2(X2,X0,X3)
| ~ element(sK15(sK24,X0,X1),the_carrier(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_326])]) ).
fof(f2760,plain,
( ! [X2,X3,X0,X1] :
( sP2(X0,X1,X2)
| ~ sP2(sK24,X1,X3) )
| ~ spl27_66
| ~ spl27_326 ),
inference(duplicate_literal_removal,[],[f2759]) ).
fof(f2759,plain,
( ! [X2,X3,X0,X1] :
( sP2(X0,X1,X2)
| ~ sP2(sK24,X1,X3)
| ~ sP2(sK24,X1,X3) )
| ~ spl27_66
| ~ spl27_326 ),
inference(resolution,[],[f2708,f569]) ).
fof(f2708,plain,
( ! [X2,X3,X0,X1] :
( ~ element(sK15(sK24,X0,X1),the_carrier(X0))
| sP2(X2,X0,X3)
| ~ sP2(sK24,X0,X1) )
| ~ spl27_326 ),
inference(avatar_component_clause,[],[f2707]) ).
fof(f6904,plain,
( spl27_680
| ~ spl27_66
| ~ spl27_325 ),
inference(avatar_split_clause,[],[f2758,f2703,f568,f6902]) ).
fof(f6902,plain,
( spl27_680
<=> ! [X2,X0,X1,X3] :
( ~ sP2(sK24,X0,X1)
| ~ sP0(X2,X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_680])]) ).
fof(f2703,plain,
( spl27_325
<=> ! [X2,X0,X1,X3] :
( ~ sP2(sK24,X0,X1)
| ~ element(sK15(sK24,X0,X1),the_carrier(X0))
| ~ sP0(X2,X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_325])]) ).
fof(f2758,plain,
( ! [X2,X3,X0,X1] :
( ~ sP2(sK24,X0,X1)
| ~ sP0(X2,X0,X3) )
| ~ spl27_66
| ~ spl27_325 ),
inference(duplicate_literal_removal,[],[f2757]) ).
fof(f2757,plain,
( ! [X2,X3,X0,X1] :
( ~ sP2(sK24,X0,X1)
| ~ sP0(X2,X0,X3)
| ~ sP2(sK24,X0,X1) )
| ~ spl27_66
| ~ spl27_325 ),
inference(resolution,[],[f2704,f569]) ).
fof(f2704,plain,
( ! [X2,X3,X0,X1] :
( ~ element(sK15(sK24,X0,X1),the_carrier(X0))
| ~ sP2(sK24,X0,X1)
| ~ sP0(X2,X0,X3) )
| ~ spl27_325 ),
inference(avatar_component_clause,[],[f2703]) ).
fof(f6883,plain,
( spl27_1
| ~ spl27_2
| spl27_3
| spl27_290
| spl27_678
| spl27_679
| ~ spl27_4
| ~ spl27_377 ),
inference(avatar_split_clause,[],[f3551,f3538,f249,f6880,f6876,f2337,f244,f239,f234]) ).
fof(f3538,plain,
( spl27_377
<=> ! [X0,X1] :
( empty(the_carrier(X0))
| empty(sK9(the_carrier(X0)))
| apply_netmap(X1,X0,sK17(sK9(the_carrier(X0)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK17(sK9(the_carrier(X0))))
| ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_377])]) ).
fof(f3551,plain,
( empty(sK9(the_carrier(sK5)))
| apply_netmap(sK4,sK5,sK17(sK9(the_carrier(sK5)))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK17(sK9(the_carrier(sK5))))
| empty(the_carrier(sK5))
| empty_carrier(sK5)
| ~ one_sorted_str(sK4)
| empty_carrier(sK4)
| ~ spl27_4
| ~ spl27_377 ),
inference(resolution,[],[f3539,f251]) ).
fof(f3539,plain,
( ! [X0,X1] :
( ~ net_str(X0,X1)
| empty(sK9(the_carrier(X0)))
| apply_netmap(X1,X0,sK17(sK9(the_carrier(X0)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK17(sK9(the_carrier(X0))))
| empty(the_carrier(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1) )
| ~ spl27_377 ),
inference(avatar_component_clause,[],[f3538]) ).
fof(f6871,plain,
( spl27_1
| ~ spl27_2
| spl27_3
| spl27_290
| spl27_677
| spl27_289
| ~ spl27_4
| ~ spl27_376 ),
inference(avatar_split_clause,[],[f3548,f3534,f249,f2333,f6868,f2337,f244,f239,f234]) ).
fof(f3534,plain,
( spl27_376
<=> ! [X0,X1] :
( empty(the_carrier(X0))
| empty(sK8(the_carrier(X0)))
| apply_netmap(X1,X0,sK17(sK8(the_carrier(X0)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK17(sK8(the_carrier(X0))))
| ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_376])]) ).
fof(f3548,plain,
( empty(sK8(the_carrier(sK5)))
| apply_netmap(sK4,sK5,sK17(sK8(the_carrier(sK5)))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK17(sK8(the_carrier(sK5))))
| empty(the_carrier(sK5))
| empty_carrier(sK5)
| ~ one_sorted_str(sK4)
| empty_carrier(sK4)
| ~ spl27_4
| ~ spl27_376 ),
inference(resolution,[],[f3535,f251]) ).
fof(f3535,plain,
( ! [X0,X1] :
( ~ net_str(X0,X1)
| empty(sK8(the_carrier(X0)))
| apply_netmap(X1,X0,sK17(sK8(the_carrier(X0)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK17(sK8(the_carrier(X0))))
| empty(the_carrier(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1) )
| ~ spl27_376 ),
inference(avatar_component_clause,[],[f3534]) ).
fof(f6863,plain,
( spl27_1
| ~ spl27_2
| spl27_3
| spl27_292
| spl27_676
| ~ spl27_4
| ~ spl27_375 ),
inference(avatar_split_clause,[],[f3545,f3530,f249,f6860,f2354,f244,f239,f234]) ).
fof(f3530,plain,
( spl27_375
<=> ! [X0,X1] :
( empty(sK17(powerset(the_carrier(X0))))
| apply_netmap(X1,X0,sK17(sK17(powerset(the_carrier(X0))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK17(sK17(powerset(the_carrier(X0)))))
| ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_375])]) ).
fof(f3545,plain,
( apply_netmap(sK4,sK5,sK17(sK17(powerset(the_carrier(sK5))))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK17(sK17(powerset(the_carrier(sK5)))))
| empty(sK17(powerset(the_carrier(sK5))))
| empty_carrier(sK5)
| ~ one_sorted_str(sK4)
| empty_carrier(sK4)
| ~ spl27_4
| ~ spl27_375 ),
inference(resolution,[],[f3531,f251]) ).
fof(f3531,plain,
( ! [X0,X1] :
( ~ net_str(X0,X1)
| apply_netmap(X1,X0,sK17(sK17(powerset(the_carrier(X0))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK17(sK17(powerset(the_carrier(X0)))))
| empty(sK17(powerset(the_carrier(X0))))
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1) )
| ~ spl27_375 ),
inference(avatar_component_clause,[],[f3530]) ).
fof(f6858,plain,
( spl27_675
| ~ spl27_65
| ~ spl27_269 ),
inference(avatar_split_clause,[],[f2159,f2153,f564,f6856]) ).
fof(f6856,plain,
( spl27_675
<=> ! [X0,X1] :
( apply_netmap(sK4,sK5,sK14(X0,sK5,X1,sK17(the_carrier(sK5)))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X0,sK5,X1,sK17(the_carrier(sK5))))
| is_eventually_in(X1,sK5,X0)
| ~ sP3(X1,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_675])]) ).
fof(f2159,plain,
( ! [X0,X1] :
( apply_netmap(sK4,sK5,sK14(X0,sK5,X1,sK17(the_carrier(sK5)))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X0,sK5,X1,sK17(the_carrier(sK5))))
| is_eventually_in(X1,sK5,X0)
| ~ sP3(X1,sK5) )
| ~ spl27_65
| ~ spl27_269 ),
inference(resolution,[],[f2154,f565]) ).
fof(f6854,plain,
( spl27_674
| spl27_143
| ~ spl27_155
| ~ spl27_311 ),
inference(avatar_split_clause,[],[f2666,f2621,f1177,f1041,f6852]) ).
fof(f6852,plain,
( spl27_674
<=> ! [X2,X1,X3] :
( ~ empty(cartesian_product2(X1,X2))
| apply_netmap(sK4,sK5,sK12(sK19(X1,X2),sK5,X3)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK19(X1,X2),sK5,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_674])]) ).
fof(f2666,plain,
( ! [X2,X3,X0,X1] :
( ~ element(X0,the_carrier(sK5))
| ~ empty(cartesian_product2(X1,X2))
| apply_netmap(sK4,sK5,sK12(sK19(X1,X2),sK5,X3)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK19(X1,X2),sK5,X3)) )
| ~ spl27_155
| ~ spl27_311 ),
inference(resolution,[],[f2622,f1178]) ).
fof(f6850,plain,
( spl27_673
| spl27_143
| ~ spl27_155
| ~ spl27_310 ),
inference(avatar_split_clause,[],[f2663,f2617,f1177,f1041,f6848]) ).
fof(f6848,plain,
( spl27_673
<=> ! [X2,X1,X3] :
( ~ empty(cartesian_product2(X1,X2))
| apply_netmap(sK4,sK5,sK12(sK20(X1,X2),sK5,X3)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK20(X1,X2),sK5,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_673])]) ).
fof(f2663,plain,
( ! [X2,X3,X0,X1] :
( ~ element(X0,the_carrier(sK5))
| ~ empty(cartesian_product2(X1,X2))
| apply_netmap(sK4,sK5,sK12(sK20(X1,X2),sK5,X3)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK20(X1,X2),sK5,X3)) )
| ~ spl27_155
| ~ spl27_310 ),
inference(resolution,[],[f2618,f1178]) ).
fof(f6843,plain,
( spl27_672
| spl27_1
| ~ spl27_2
| ~ spl27_4
| ~ spl27_288 ),
inference(avatar_split_clause,[],[f2331,f2328,f249,f239,f234,f6840]) ).
fof(f6840,plain,
( spl27_672
<=> apply_netmap(sK4,sK5,sK13(sK7,sK5,sK4,sK17(sK16(sK5)))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK13(sK7,sK5,sK4,sK17(sK16(sK5)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_672])]) ).
fof(f2328,plain,
( spl27_288
<=> ! [X0] :
( apply_netmap(X0,sK5,sK13(sK7,sK5,sK4,sK17(sK16(sK5)))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK7,sK5,sK4,sK17(sK16(sK5))))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ net_str(sK5,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_288])]) ).
fof(f2331,plain,
( ~ one_sorted_str(sK4)
| empty_carrier(sK4)
| apply_netmap(sK4,sK5,sK13(sK7,sK5,sK4,sK17(sK16(sK5)))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK13(sK7,sK5,sK4,sK17(sK16(sK5))))
| ~ spl27_4
| ~ spl27_288 ),
inference(resolution,[],[f2329,f251]) ).
fof(f2329,plain,
( ! [X0] :
( ~ net_str(sK5,X0)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,sK5,sK13(sK7,sK5,sK4,sK17(sK16(sK5)))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK7,sK5,sK4,sK17(sK16(sK5)))) )
| ~ spl27_288 ),
inference(avatar_component_clause,[],[f2328]) ).
fof(f6835,plain,
( ~ spl27_2
| spl27_1
| spl27_671
| ~ spl27_4
| ~ spl27_285 ),
inference(avatar_split_clause,[],[f2314,f2311,f249,f6832,f234,f239]) ).
fof(f6832,plain,
( spl27_671
<=> apply_netmap(sK4,sK5,sK13(sK7,sK5,sK4,sK17(the_carrier(sK5)))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK13(sK7,sK5,sK4,sK17(the_carrier(sK5)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_671])]) ).
fof(f2311,plain,
( spl27_285
<=> ! [X0] :
( apply_netmap(X0,sK5,sK13(sK7,sK5,sK4,sK17(the_carrier(sK5)))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK7,sK5,sK4,sK17(the_carrier(sK5))))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_285])]) ).
fof(f2314,plain,
( apply_netmap(sK4,sK5,sK13(sK7,sK5,sK4,sK17(the_carrier(sK5)))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK13(sK7,sK5,sK4,sK17(the_carrier(sK5))))
| empty_carrier(sK4)
| ~ one_sorted_str(sK4)
| ~ spl27_4
| ~ spl27_285 ),
inference(resolution,[],[f2312,f251]) ).
fof(f2312,plain,
( ! [X0] :
( ~ net_str(sK5,X0)
| apply_netmap(X0,sK5,sK13(sK7,sK5,sK4,sK17(the_carrier(sK5)))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK7,sK5,sK4,sK17(the_carrier(sK5))))
| empty_carrier(X0)
| ~ one_sorted_str(X0) )
| ~ spl27_285 ),
inference(avatar_component_clause,[],[f2311]) ).
fof(f6827,plain,
( ~ spl27_2
| spl27_1
| spl27_670
| ~ spl27_4
| ~ spl27_263 ),
inference(avatar_split_clause,[],[f2130,f2127,f249,f6824,f234,f239]) ).
fof(f6824,plain,
( spl27_670
<=> apply_netmap(sK4,sK5,sK13(sK6,sK5,sK4,sK17(the_carrier(sK5)))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK13(sK6,sK5,sK4,sK17(the_carrier(sK5)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_670])]) ).
fof(f2127,plain,
( spl27_263
<=> ! [X0] :
( apply_netmap(X0,sK5,sK13(sK6,sK5,sK4,sK17(the_carrier(sK5)))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK6,sK5,sK4,sK17(the_carrier(sK5))))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_263])]) ).
fof(f2130,plain,
( apply_netmap(sK4,sK5,sK13(sK6,sK5,sK4,sK17(the_carrier(sK5)))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK13(sK6,sK5,sK4,sK17(the_carrier(sK5))))
| empty_carrier(sK4)
| ~ one_sorted_str(sK4)
| ~ spl27_4
| ~ spl27_263 ),
inference(resolution,[],[f2128,f251]) ).
fof(f2128,plain,
( ! [X0] :
( ~ net_str(sK5,X0)
| apply_netmap(X0,sK5,sK13(sK6,sK5,sK4,sK17(the_carrier(sK5)))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK6,sK5,sK4,sK17(the_carrier(sK5))))
| empty_carrier(X0)
| ~ one_sorted_str(X0) )
| ~ spl27_263 ),
inference(avatar_component_clause,[],[f2127]) ).
fof(f6819,plain,
( spl27_1
| ~ spl27_2
| ~ spl27_59
| spl27_669
| spl27_275
| spl27_3
| ~ spl27_4
| ~ spl27_372 ),
inference(avatar_split_clause,[],[f3497,f3493,f249,f244,f2202,f6816,f524,f239,f234]) ).
fof(f3493,plain,
( spl27_372
<=> ! [X0,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(sK16(X0))
| apply_netmap(X1,X0,sK17(sK16(X0))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK17(sK16(X0)))
| ~ net_str(X0,X1)
| ~ one_sorted_str(X1)
| empty_carrier(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_372])]) ).
fof(f3497,plain,
( empty_carrier(sK5)
| empty(sK16(sK5))
| apply_netmap(sK4,sK5,sK17(sK16(sK5))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK17(sK16(sK5)))
| ~ one_sorted_str(sK5)
| ~ one_sorted_str(sK4)
| empty_carrier(sK4)
| ~ spl27_4
| ~ spl27_372 ),
inference(resolution,[],[f3494,f251]) ).
fof(f3494,plain,
( ! [X0,X1] :
( ~ net_str(X0,X1)
| empty_carrier(X0)
| empty(sK16(X0))
| apply_netmap(X1,X0,sK17(sK16(X0))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK17(sK16(X0)))
| ~ one_sorted_str(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1) )
| ~ spl27_372 ),
inference(avatar_component_clause,[],[f3493]) ).
fof(f6800,plain,
( spl27_142
| spl27_668
| ~ spl27_135
| ~ spl27_353 ),
inference(avatar_split_clause,[],[f3265,f3254,f999,f6798,f1037]) ).
fof(f6798,plain,
( spl27_668
<=> ! [X2,X0,X1] :
( ~ sP0(sK17(powerset(sK6)),X0,X1)
| element(apply_netmap(X1,X0,sK13(sK17(powerset(sK6)),X0,X1,X2)),sK7)
| ~ element(X2,the_carrier(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_668])]) ).
fof(f3265,plain,
( ! [X2,X0,X1] :
( ~ sP0(sK17(powerset(sK6)),X0,X1)
| empty(sK6)
| ~ element(X2,the_carrier(X0))
| element(apply_netmap(X1,X0,sK13(sK17(powerset(sK6)),X0,X1,X2)),sK7) )
| ~ spl27_135
| ~ spl27_353 ),
inference(resolution,[],[f3255,f1000]) ).
fof(f6796,plain,
( spl27_666
| ~ spl27_667
| ~ spl27_20
| ~ spl27_655 ),
inference(avatar_split_clause,[],[f6760,f6727,f326,f6793,f6789]) ).
fof(f6789,plain,
( spl27_666
<=> empty(powerset(cartesian_product2(the_carrier(sK5),the_carrier(sK4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_666])]) ).
fof(f6793,plain,
( spl27_667
<=> in(powerset(cartesian_product2(the_carrier(sK5),the_carrier(sK4))),the_mapping(sK4,sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_667])]) ).
fof(f6727,plain,
( spl27_655
<=> ! [X0] :
( ~ in(powerset(X0),the_mapping(sK4,sK5))
| ~ subset(cartesian_product2(the_carrier(sK5),the_carrier(sK4)),X0)
| empty(powerset(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_655])]) ).
fof(f6760,plain,
( ~ in(powerset(cartesian_product2(the_carrier(sK5),the_carrier(sK4))),the_mapping(sK4,sK5))
| empty(powerset(cartesian_product2(the_carrier(sK5),the_carrier(sK4))))
| ~ spl27_20
| ~ spl27_655 ),
inference(resolution,[],[f6728,f327]) ).
fof(f6728,plain,
( ! [X0] :
( ~ subset(cartesian_product2(the_carrier(sK5),the_carrier(sK4)),X0)
| ~ in(powerset(X0),the_mapping(sK4,sK5))
| empty(powerset(X0)) )
| ~ spl27_655 ),
inference(avatar_component_clause,[],[f6727]) ).
fof(f6787,plain,
( spl27_665
| ~ spl27_154
| ~ spl27_259 ),
inference(avatar_split_clause,[],[f2098,f2094,f1170,f6785]) ).
fof(f6785,plain,
( spl27_665
<=> ! [X0,X1] :
( apply_netmap(sK4,sK5,sK12(sK17(powerset(X0)),sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK17(powerset(X0)),sK5,X1))
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_665])]) ).
fof(f2098,plain,
( ! [X0,X1] :
( apply_netmap(sK4,sK5,sK12(sK17(powerset(X0)),sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK17(powerset(X0)),sK5,X1))
| ~ empty(X0) )
| ~ spl27_154
| ~ spl27_259 ),
inference(resolution,[],[f2095,f1171]) ).
fof(f6782,plain,
( spl27_142
| spl27_664
| ~ spl27_135
| ~ spl27_348 ),
inference(avatar_split_clause,[],[f3208,f3145,f999,f6780,f1037]) ).
fof(f3208,plain,
( ! [X2,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(sK10(sK6),X1,X2)
| empty(sK6)
| element(apply_netmap(X2,X1,sK13(sK10(sK6),X1,X2,X0)),sK7) )
| ~ spl27_135
| ~ spl27_348 ),
inference(resolution,[],[f3146,f1000]) ).
fof(f6777,plain,
( spl27_142
| spl27_663
| ~ spl27_135
| ~ spl27_347 ),
inference(avatar_split_clause,[],[f3181,f3141,f999,f6775,f1037]) ).
fof(f3181,plain,
( ! [X2,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(sK9(sK6),X1,X2)
| empty(sK6)
| element(apply_netmap(X2,X1,sK13(sK9(sK6),X1,X2,X0)),sK7) )
| ~ spl27_135
| ~ spl27_347 ),
inference(resolution,[],[f3142,f1000]) ).
fof(f6772,plain,
( spl27_142
| spl27_662
| ~ spl27_135
| ~ spl27_345 ),
inference(avatar_split_clause,[],[f3154,f3104,f999,f6770,f1037]) ).
fof(f3154,plain,
( ! [X2,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(sK8(sK6),X1,X2)
| empty(sK6)
| element(apply_netmap(X2,X1,sK13(sK8(sK6),X1,X2,X0)),sK7) )
| ~ spl27_135
| ~ spl27_345 ),
inference(resolution,[],[f3105,f1000]) ).
fof(f6764,plain,
( spl27_661
| ~ spl27_240
| ~ spl27_248 ),
inference(avatar_split_clause,[],[f2022,f1996,f1815,f6762]) ).
fof(f6762,plain,
( spl27_661
<=> ! [X2,X3,X4,X0,X6,X5,X1,X7] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK14(X6,X5,X7,sK15(sK17(powerset(the_carrier(X3))),X5,X4)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK14(X6,X5,X7,sK15(sK17(powerset(the_carrier(X3))),X5,X4))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| ~ sP2(sK17(powerset(the_carrier(X3))),X5,X4)
| sP2(X6,X5,X7)
| ~ element(sK15(sK17(powerset(the_carrier(X3))),X5,X4),the_carrier(X5))
| ~ element(sK14(X6,X5,X7,sK15(sK17(powerset(the_carrier(X3))),X5,X4)),the_carrier(X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_661])]) ).
fof(f2022,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK14(X6,X5,X7,sK15(sK17(powerset(the_carrier(X3))),X5,X4)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK14(X6,X5,X7,sK15(sK17(powerset(the_carrier(X3))),X5,X4))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| ~ sP2(sK17(powerset(the_carrier(X3))),X5,X4)
| sP2(X6,X5,X7)
| ~ element(sK15(sK17(powerset(the_carrier(X3))),X5,X4),the_carrier(X5))
| ~ element(sK14(X6,X5,X7,sK15(sK17(powerset(the_carrier(X3))),X5,X4)),the_carrier(X5)) )
| ~ spl27_240
| ~ spl27_248 ),
inference(resolution,[],[f1997,f1816]) ).
fof(f6759,plain,
( spl27_660
| ~ spl27_239
| ~ spl27_248 ),
inference(avatar_split_clause,[],[f2017,f1996,f1811,f6757]) ).
fof(f6757,plain,
( spl27_660
<=> ! [X2,X3,X4,X0,X6,X5,X1,X7] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK13(X6,X5,X7,sK15(sK17(powerset(the_carrier(X3))),X5,X4)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK13(X6,X5,X7,sK15(sK17(powerset(the_carrier(X3))),X5,X4))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| ~ sP2(sK17(powerset(the_carrier(X3))),X5,X4)
| ~ element(sK15(sK17(powerset(the_carrier(X3))),X5,X4),the_carrier(X5))
| ~ sP0(X6,X5,X7)
| ~ element(sK13(X6,X5,X7,sK15(sK17(powerset(the_carrier(X3))),X5,X4)),the_carrier(X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_660])]) ).
fof(f2017,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK13(X6,X5,X7,sK15(sK17(powerset(the_carrier(X3))),X5,X4)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK13(X6,X5,X7,sK15(sK17(powerset(the_carrier(X3))),X5,X4))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| ~ sP2(sK17(powerset(the_carrier(X3))),X5,X4)
| ~ element(sK15(sK17(powerset(the_carrier(X3))),X5,X4),the_carrier(X5))
| ~ sP0(X6,X5,X7)
| ~ element(sK13(X6,X5,X7,sK15(sK17(powerset(the_carrier(X3))),X5,X4)),the_carrier(X5)) )
| ~ spl27_239
| ~ spl27_248 ),
inference(resolution,[],[f1997,f1812]) ).
fof(f6747,plain,
( spl27_659
| ~ spl27_240
| ~ spl27_247 ),
inference(avatar_split_clause,[],[f1977,f1917,f1815,f6745]) ).
fof(f6745,plain,
( spl27_659
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK14(X7,X6,X8,sK15(sK17(powerset(the_carrier(X2))),X6,X5)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK14(X7,X6,X8,sK15(sK17(powerset(the_carrier(X2))),X6,X5))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| ~ sP2(sK17(powerset(the_carrier(X2))),X6,X5)
| sP2(X7,X6,X8)
| ~ element(sK15(sK17(powerset(the_carrier(X2))),X6,X5),the_carrier(X6))
| ~ element(sK14(X7,X6,X8,sK15(sK17(powerset(the_carrier(X2))),X6,X5)),the_carrier(X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_659])]) ).
fof(f1977,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK14(X7,X6,X8,sK15(sK17(powerset(the_carrier(X2))),X6,X5)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK14(X7,X6,X8,sK15(sK17(powerset(the_carrier(X2))),X6,X5))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| ~ sP2(sK17(powerset(the_carrier(X2))),X6,X5)
| sP2(X7,X6,X8)
| ~ element(sK15(sK17(powerset(the_carrier(X2))),X6,X5),the_carrier(X6))
| ~ element(sK14(X7,X6,X8,sK15(sK17(powerset(the_carrier(X2))),X6,X5)),the_carrier(X6)) )
| ~ spl27_240
| ~ spl27_247 ),
inference(resolution,[],[f1918,f1816]) ).
fof(f6743,plain,
( spl27_658
| ~ spl27_239
| ~ spl27_247 ),
inference(avatar_split_clause,[],[f1972,f1917,f1811,f6741]) ).
fof(f6741,plain,
( spl27_658
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK13(X7,X6,X8,sK15(sK17(powerset(the_carrier(X2))),X6,X5)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK13(X7,X6,X8,sK15(sK17(powerset(the_carrier(X2))),X6,X5))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| ~ sP2(sK17(powerset(the_carrier(X2))),X6,X5)
| ~ element(sK15(sK17(powerset(the_carrier(X2))),X6,X5),the_carrier(X6))
| ~ sP0(X7,X6,X8)
| ~ element(sK13(X7,X6,X8,sK15(sK17(powerset(the_carrier(X2))),X6,X5)),the_carrier(X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_658])]) ).
fof(f1972,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK13(X7,X6,X8,sK15(sK17(powerset(the_carrier(X2))),X6,X5)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK13(X7,X6,X8,sK15(sK17(powerset(the_carrier(X2))),X6,X5))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| ~ sP2(sK17(powerset(the_carrier(X2))),X6,X5)
| ~ element(sK15(sK17(powerset(the_carrier(X2))),X6,X5),the_carrier(X6))
| ~ sP0(X7,X6,X8)
| ~ element(sK13(X7,X6,X8,sK15(sK17(powerset(the_carrier(X2))),X6,X5)),the_carrier(X6)) )
| ~ spl27_239
| ~ spl27_247 ),
inference(resolution,[],[f1918,f1812]) ).
fof(f6739,plain,
( spl27_657
| ~ spl27_240
| ~ spl27_245 ),
inference(avatar_split_clause,[],[f1938,f1909,f1815,f6737]) ).
fof(f6737,plain,
( spl27_657
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK14(X7,X6,X8,sK15(sK17(powerset(the_carrier(X4))),X6,X5)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK14(X7,X6,X8,sK15(sK17(powerset(the_carrier(X4))),X6,X5))))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| ~ sP2(sK17(powerset(the_carrier(X4))),X6,X5)
| sP2(X7,X6,X8)
| ~ element(sK15(sK17(powerset(the_carrier(X4))),X6,X5),the_carrier(X6))
| ~ element(sK14(X7,X6,X8,sK15(sK17(powerset(the_carrier(X4))),X6,X5)),the_carrier(X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_657])]) ).
fof(f1938,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK14(X7,X6,X8,sK15(sK17(powerset(the_carrier(X4))),X6,X5)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK14(X7,X6,X8,sK15(sK17(powerset(the_carrier(X4))),X6,X5))))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| ~ sP2(sK17(powerset(the_carrier(X4))),X6,X5)
| sP2(X7,X6,X8)
| ~ element(sK15(sK17(powerset(the_carrier(X4))),X6,X5),the_carrier(X6))
| ~ element(sK14(X7,X6,X8,sK15(sK17(powerset(the_carrier(X4))),X6,X5)),the_carrier(X6)) )
| ~ spl27_240
| ~ spl27_245 ),
inference(resolution,[],[f1910,f1816]) ).
fof(f6735,plain,
( spl27_656
| ~ spl27_239
| ~ spl27_245 ),
inference(avatar_split_clause,[],[f1933,f1909,f1811,f6733]) ).
fof(f6733,plain,
( spl27_656
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK13(X7,X6,X8,sK15(sK17(powerset(the_carrier(X4))),X6,X5)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK13(X7,X6,X8,sK15(sK17(powerset(the_carrier(X4))),X6,X5))))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| ~ sP2(sK17(powerset(the_carrier(X4))),X6,X5)
| ~ element(sK15(sK17(powerset(the_carrier(X4))),X6,X5),the_carrier(X6))
| ~ sP0(X7,X6,X8)
| ~ element(sK13(X7,X6,X8,sK15(sK17(powerset(the_carrier(X4))),X6,X5)),the_carrier(X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_656])]) ).
fof(f1933,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK13(X7,X6,X8,sK15(sK17(powerset(the_carrier(X4))),X6,X5)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK13(X7,X6,X8,sK15(sK17(powerset(the_carrier(X4))),X6,X5))))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| ~ sP2(sK17(powerset(the_carrier(X4))),X6,X5)
| ~ element(sK15(sK17(powerset(the_carrier(X4))),X6,X5),the_carrier(X6))
| ~ sP0(X7,X6,X8)
| ~ element(sK13(X7,X6,X8,sK15(sK17(powerset(the_carrier(X4))),X6,X5)),the_carrier(X6)) )
| ~ spl27_239
| ~ spl27_245 ),
inference(resolution,[],[f1910,f1812]) ).
fof(f6729,plain,
( spl27_655
| ~ spl27_167
| ~ spl27_623 ),
inference(avatar_split_clause,[],[f6557,f6523,f1258,f6727]) ).
fof(f6557,plain,
( ! [X0] :
( ~ in(powerset(X0),the_mapping(sK4,sK5))
| ~ subset(cartesian_product2(the_carrier(sK5),the_carrier(sK4)),X0)
| empty(powerset(X0)) )
| ~ spl27_167
| ~ spl27_623 ),
inference(resolution,[],[f6524,f1259]) ).
fof(f6711,plain,
( spl27_654
| ~ spl27_234
| ~ spl27_248 ),
inference(avatar_split_clause,[],[f2021,f1996,f1735,f6709]) ).
fof(f6709,plain,
( spl27_654
<=> ! [X2,X3,X4,X0,X6,X5,X1,X7] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK14(X6,X5,X7,sK15(sK10(the_carrier(X3)),X5,X4)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK14(X6,X5,X7,sK15(sK10(the_carrier(X3)),X5,X4))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| ~ sP2(sK10(the_carrier(X3)),X5,X4)
| sP2(X6,X5,X7)
| ~ element(sK15(sK10(the_carrier(X3)),X5,X4),the_carrier(X5))
| ~ element(sK14(X6,X5,X7,sK15(sK10(the_carrier(X3)),X5,X4)),the_carrier(X5))
| empty(the_carrier(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_654])]) ).
fof(f2021,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK14(X6,X5,X7,sK15(sK10(the_carrier(X3)),X5,X4)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK14(X6,X5,X7,sK15(sK10(the_carrier(X3)),X5,X4))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| ~ sP2(sK10(the_carrier(X3)),X5,X4)
| sP2(X6,X5,X7)
| ~ element(sK15(sK10(the_carrier(X3)),X5,X4),the_carrier(X5))
| ~ element(sK14(X6,X5,X7,sK15(sK10(the_carrier(X3)),X5,X4)),the_carrier(X5))
| empty(the_carrier(X3)) )
| ~ spl27_234
| ~ spl27_248 ),
inference(resolution,[],[f1997,f1736]) ).
fof(f6707,plain,
( spl27_653
| ~ spl27_233
| ~ spl27_248 ),
inference(avatar_split_clause,[],[f2020,f1996,f1731,f6705]) ).
fof(f6705,plain,
( spl27_653
<=> ! [X2,X3,X4,X0,X6,X5,X1,X7] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK14(X6,X5,X7,sK15(sK9(the_carrier(X3)),X5,X4)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK14(X6,X5,X7,sK15(sK9(the_carrier(X3)),X5,X4))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| ~ sP2(sK9(the_carrier(X3)),X5,X4)
| sP2(X6,X5,X7)
| ~ element(sK15(sK9(the_carrier(X3)),X5,X4),the_carrier(X5))
| ~ element(sK14(X6,X5,X7,sK15(sK9(the_carrier(X3)),X5,X4)),the_carrier(X5))
| empty(the_carrier(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_653])]) ).
fof(f2020,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK14(X6,X5,X7,sK15(sK9(the_carrier(X3)),X5,X4)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK14(X6,X5,X7,sK15(sK9(the_carrier(X3)),X5,X4))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| ~ sP2(sK9(the_carrier(X3)),X5,X4)
| sP2(X6,X5,X7)
| ~ element(sK15(sK9(the_carrier(X3)),X5,X4),the_carrier(X5))
| ~ element(sK14(X6,X5,X7,sK15(sK9(the_carrier(X3)),X5,X4)),the_carrier(X5))
| empty(the_carrier(X3)) )
| ~ spl27_233
| ~ spl27_248 ),
inference(resolution,[],[f1997,f1732]) ).
fof(f6703,plain,
( spl27_652
| ~ spl27_232
| ~ spl27_248 ),
inference(avatar_split_clause,[],[f2019,f1996,f1727,f6701]) ).
fof(f6701,plain,
( spl27_652
<=> ! [X2,X3,X4,X0,X6,X5,X1,X7] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK14(X6,X5,X7,sK15(sK8(the_carrier(X3)),X5,X4)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK14(X6,X5,X7,sK15(sK8(the_carrier(X3)),X5,X4))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| ~ sP2(sK8(the_carrier(X3)),X5,X4)
| sP2(X6,X5,X7)
| ~ element(sK15(sK8(the_carrier(X3)),X5,X4),the_carrier(X5))
| ~ element(sK14(X6,X5,X7,sK15(sK8(the_carrier(X3)),X5,X4)),the_carrier(X5))
| empty(the_carrier(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_652])]) ).
fof(f2019,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK14(X6,X5,X7,sK15(sK8(the_carrier(X3)),X5,X4)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK14(X6,X5,X7,sK15(sK8(the_carrier(X3)),X5,X4))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| ~ sP2(sK8(the_carrier(X3)),X5,X4)
| sP2(X6,X5,X7)
| ~ element(sK15(sK8(the_carrier(X3)),X5,X4),the_carrier(X5))
| ~ element(sK14(X6,X5,X7,sK15(sK8(the_carrier(X3)),X5,X4)),the_carrier(X5))
| empty(the_carrier(X3)) )
| ~ spl27_232
| ~ spl27_248 ),
inference(resolution,[],[f1997,f1728]) ).
fof(f6699,plain,
( spl27_651
| ~ spl27_231
| ~ spl27_248 ),
inference(avatar_split_clause,[],[f2016,f1996,f1723,f6697]) ).
fof(f6697,plain,
( spl27_651
<=> ! [X2,X3,X4,X0,X6,X5,X1,X7] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK13(X6,X5,X7,sK15(sK10(the_carrier(X3)),X5,X4)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK13(X6,X5,X7,sK15(sK10(the_carrier(X3)),X5,X4))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| ~ sP2(sK10(the_carrier(X3)),X5,X4)
| ~ element(sK15(sK10(the_carrier(X3)),X5,X4),the_carrier(X5))
| ~ sP0(X6,X5,X7)
| ~ element(sK13(X6,X5,X7,sK15(sK10(the_carrier(X3)),X5,X4)),the_carrier(X5))
| empty(the_carrier(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_651])]) ).
fof(f2016,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK13(X6,X5,X7,sK15(sK10(the_carrier(X3)),X5,X4)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK13(X6,X5,X7,sK15(sK10(the_carrier(X3)),X5,X4))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| ~ sP2(sK10(the_carrier(X3)),X5,X4)
| ~ element(sK15(sK10(the_carrier(X3)),X5,X4),the_carrier(X5))
| ~ sP0(X6,X5,X7)
| ~ element(sK13(X6,X5,X7,sK15(sK10(the_carrier(X3)),X5,X4)),the_carrier(X5))
| empty(the_carrier(X3)) )
| ~ spl27_231
| ~ spl27_248 ),
inference(resolution,[],[f1997,f1724]) ).
fof(f6695,plain,
( spl27_650
| ~ spl27_230
| ~ spl27_248 ),
inference(avatar_split_clause,[],[f2015,f1996,f1719,f6693]) ).
fof(f6693,plain,
( spl27_650
<=> ! [X2,X3,X4,X0,X6,X5,X1,X7] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK13(X6,X5,X7,sK15(sK9(the_carrier(X3)),X5,X4)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK13(X6,X5,X7,sK15(sK9(the_carrier(X3)),X5,X4))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| ~ sP2(sK9(the_carrier(X3)),X5,X4)
| ~ element(sK15(sK9(the_carrier(X3)),X5,X4),the_carrier(X5))
| ~ sP0(X6,X5,X7)
| ~ element(sK13(X6,X5,X7,sK15(sK9(the_carrier(X3)),X5,X4)),the_carrier(X5))
| empty(the_carrier(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_650])]) ).
fof(f2015,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK13(X6,X5,X7,sK15(sK9(the_carrier(X3)),X5,X4)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK13(X6,X5,X7,sK15(sK9(the_carrier(X3)),X5,X4))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| ~ sP2(sK9(the_carrier(X3)),X5,X4)
| ~ element(sK15(sK9(the_carrier(X3)),X5,X4),the_carrier(X5))
| ~ sP0(X6,X5,X7)
| ~ element(sK13(X6,X5,X7,sK15(sK9(the_carrier(X3)),X5,X4)),the_carrier(X5))
| empty(the_carrier(X3)) )
| ~ spl27_230
| ~ spl27_248 ),
inference(resolution,[],[f1997,f1720]) ).
fof(f6691,plain,
( spl27_649
| ~ spl27_229
| ~ spl27_248 ),
inference(avatar_split_clause,[],[f2014,f1996,f1715,f6689]) ).
fof(f6689,plain,
( spl27_649
<=> ! [X2,X3,X4,X0,X6,X5,X1,X7] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK13(X6,X5,X7,sK15(sK8(the_carrier(X3)),X5,X4)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK13(X6,X5,X7,sK15(sK8(the_carrier(X3)),X5,X4))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| ~ sP2(sK8(the_carrier(X3)),X5,X4)
| ~ element(sK15(sK8(the_carrier(X3)),X5,X4),the_carrier(X5))
| ~ sP0(X6,X5,X7)
| ~ element(sK13(X6,X5,X7,sK15(sK8(the_carrier(X3)),X5,X4)),the_carrier(X5))
| empty(the_carrier(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_649])]) ).
fof(f2014,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK13(X6,X5,X7,sK15(sK8(the_carrier(X3)),X5,X4)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK13(X6,X5,X7,sK15(sK8(the_carrier(X3)),X5,X4))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| ~ sP2(sK8(the_carrier(X3)),X5,X4)
| ~ element(sK15(sK8(the_carrier(X3)),X5,X4),the_carrier(X5))
| ~ sP0(X6,X5,X7)
| ~ element(sK13(X6,X5,X7,sK15(sK8(the_carrier(X3)),X5,X4)),the_carrier(X5))
| empty(the_carrier(X3)) )
| ~ spl27_229
| ~ spl27_248 ),
inference(resolution,[],[f1997,f1716]) ).
fof(f6687,plain,
( spl27_648
| ~ spl27_240
| ~ spl27_244 ),
inference(avatar_split_clause,[],[f1890,f1866,f1815,f6685]) ).
fof(f6685,plain,
( spl27_648
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK14(X8,X7,X9,sK15(sK17(powerset(the_carrier(X0))),X7,X6)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK14(X8,X7,X9,sK15(sK17(powerset(the_carrier(X0))),X7,X6))))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| ~ sP2(sK17(powerset(the_carrier(X0))),X7,X6)
| sP2(X8,X7,X9)
| ~ element(sK15(sK17(powerset(the_carrier(X0))),X7,X6),the_carrier(X7))
| ~ element(sK14(X8,X7,X9,sK15(sK17(powerset(the_carrier(X0))),X7,X6)),the_carrier(X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_648])]) ).
fof(f1890,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK14(X8,X7,X9,sK15(sK17(powerset(the_carrier(X0))),X7,X6)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK14(X8,X7,X9,sK15(sK17(powerset(the_carrier(X0))),X7,X6))))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| ~ sP2(sK17(powerset(the_carrier(X0))),X7,X6)
| sP2(X8,X7,X9)
| ~ element(sK15(sK17(powerset(the_carrier(X0))),X7,X6),the_carrier(X7))
| ~ element(sK14(X8,X7,X9,sK15(sK17(powerset(the_carrier(X0))),X7,X6)),the_carrier(X7)) )
| ~ spl27_240
| ~ spl27_244 ),
inference(resolution,[],[f1867,f1816]) ).
fof(f6683,plain,
( spl27_647
| ~ spl27_239
| ~ spl27_244 ),
inference(avatar_split_clause,[],[f1885,f1866,f1811,f6681]) ).
fof(f6681,plain,
( spl27_647
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK13(X8,X7,X9,sK15(sK17(powerset(the_carrier(X0))),X7,X6)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK13(X8,X7,X9,sK15(sK17(powerset(the_carrier(X0))),X7,X6))))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| ~ sP2(sK17(powerset(the_carrier(X0))),X7,X6)
| ~ element(sK15(sK17(powerset(the_carrier(X0))),X7,X6),the_carrier(X7))
| ~ sP0(X8,X7,X9)
| ~ element(sK13(X8,X7,X9,sK15(sK17(powerset(the_carrier(X0))),X7,X6)),the_carrier(X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_647])]) ).
fof(f1885,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK13(X8,X7,X9,sK15(sK17(powerset(the_carrier(X0))),X7,X6)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK13(X8,X7,X9,sK15(sK17(powerset(the_carrier(X0))),X7,X6))))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| ~ sP2(sK17(powerset(the_carrier(X0))),X7,X6)
| ~ element(sK15(sK17(powerset(the_carrier(X0))),X7,X6),the_carrier(X7))
| ~ sP0(X8,X7,X9)
| ~ element(sK13(X8,X7,X9,sK15(sK17(powerset(the_carrier(X0))),X7,X6)),the_carrier(X7)) )
| ~ spl27_239
| ~ spl27_244 ),
inference(resolution,[],[f1867,f1812]) ).
fof(f6669,plain,
( ~ spl27_646
| ~ spl27_623
| ~ spl27_633 ),
inference(avatar_split_clause,[],[f6638,f6593,f6523,f6666]) ).
fof(f6666,plain,
( spl27_646
<=> in(cartesian_product2(the_carrier(sK5),the_carrier(sK4)),the_mapping(sK4,sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_646])]) ).
fof(f6593,plain,
( spl27_633
<=> ! [X0] :
( ~ in(X0,the_mapping(sK4,sK5))
| ~ in(cartesian_product2(the_carrier(sK5),the_carrier(sK4)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_633])]) ).
fof(f6638,plain,
( ~ in(cartesian_product2(the_carrier(sK5),the_carrier(sK4)),the_mapping(sK4,sK5))
| ~ spl27_623
| ~ spl27_633 ),
inference(duplicate_literal_removal,[],[f6637]) ).
fof(f6637,plain,
( ~ in(cartesian_product2(the_carrier(sK5),the_carrier(sK4)),the_mapping(sK4,sK5))
| ~ in(cartesian_product2(the_carrier(sK5),the_carrier(sK4)),the_mapping(sK4,sK5))
| ~ spl27_623
| ~ spl27_633 ),
inference(resolution,[],[f6594,f6524]) ).
fof(f6594,plain,
( ! [X0] :
( ~ in(cartesian_product2(the_carrier(sK5),the_carrier(sK4)),X0)
| ~ in(X0,the_mapping(sK4,sK5)) )
| ~ spl27_633 ),
inference(avatar_component_clause,[],[f6593]) ).
fof(f6650,plain,
( spl27_645
| ~ spl27_234
| ~ spl27_247 ),
inference(avatar_split_clause,[],[f1976,f1917,f1735,f6648]) ).
fof(f6648,plain,
( spl27_645
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK14(X7,X6,X8,sK15(sK10(the_carrier(X2)),X6,X5)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK14(X7,X6,X8,sK15(sK10(the_carrier(X2)),X6,X5))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| ~ sP2(sK10(the_carrier(X2)),X6,X5)
| sP2(X7,X6,X8)
| ~ element(sK15(sK10(the_carrier(X2)),X6,X5),the_carrier(X6))
| ~ element(sK14(X7,X6,X8,sK15(sK10(the_carrier(X2)),X6,X5)),the_carrier(X6))
| empty(the_carrier(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_645])]) ).
fof(f1976,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK14(X7,X6,X8,sK15(sK10(the_carrier(X2)),X6,X5)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK14(X7,X6,X8,sK15(sK10(the_carrier(X2)),X6,X5))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| ~ sP2(sK10(the_carrier(X2)),X6,X5)
| sP2(X7,X6,X8)
| ~ element(sK15(sK10(the_carrier(X2)),X6,X5),the_carrier(X6))
| ~ element(sK14(X7,X6,X8,sK15(sK10(the_carrier(X2)),X6,X5)),the_carrier(X6))
| empty(the_carrier(X2)) )
| ~ spl27_234
| ~ spl27_247 ),
inference(resolution,[],[f1918,f1736]) ).
fof(f6646,plain,
( spl27_644
| ~ spl27_233
| ~ spl27_247 ),
inference(avatar_split_clause,[],[f1975,f1917,f1731,f6644]) ).
fof(f6644,plain,
( spl27_644
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK14(X7,X6,X8,sK15(sK9(the_carrier(X2)),X6,X5)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK14(X7,X6,X8,sK15(sK9(the_carrier(X2)),X6,X5))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| ~ sP2(sK9(the_carrier(X2)),X6,X5)
| sP2(X7,X6,X8)
| ~ element(sK15(sK9(the_carrier(X2)),X6,X5),the_carrier(X6))
| ~ element(sK14(X7,X6,X8,sK15(sK9(the_carrier(X2)),X6,X5)),the_carrier(X6))
| empty(the_carrier(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_644])]) ).
fof(f1975,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK14(X7,X6,X8,sK15(sK9(the_carrier(X2)),X6,X5)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK14(X7,X6,X8,sK15(sK9(the_carrier(X2)),X6,X5))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| ~ sP2(sK9(the_carrier(X2)),X6,X5)
| sP2(X7,X6,X8)
| ~ element(sK15(sK9(the_carrier(X2)),X6,X5),the_carrier(X6))
| ~ element(sK14(X7,X6,X8,sK15(sK9(the_carrier(X2)),X6,X5)),the_carrier(X6))
| empty(the_carrier(X2)) )
| ~ spl27_233
| ~ spl27_247 ),
inference(resolution,[],[f1918,f1732]) ).
fof(f6642,plain,
( spl27_643
| ~ spl27_232
| ~ spl27_247 ),
inference(avatar_split_clause,[],[f1974,f1917,f1727,f6640]) ).
fof(f6640,plain,
( spl27_643
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK14(X7,X6,X8,sK15(sK8(the_carrier(X2)),X6,X5)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK14(X7,X6,X8,sK15(sK8(the_carrier(X2)),X6,X5))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| ~ sP2(sK8(the_carrier(X2)),X6,X5)
| sP2(X7,X6,X8)
| ~ element(sK15(sK8(the_carrier(X2)),X6,X5),the_carrier(X6))
| ~ element(sK14(X7,X6,X8,sK15(sK8(the_carrier(X2)),X6,X5)),the_carrier(X6))
| empty(the_carrier(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_643])]) ).
fof(f1974,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK14(X7,X6,X8,sK15(sK8(the_carrier(X2)),X6,X5)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK14(X7,X6,X8,sK15(sK8(the_carrier(X2)),X6,X5))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| ~ sP2(sK8(the_carrier(X2)),X6,X5)
| sP2(X7,X6,X8)
| ~ element(sK15(sK8(the_carrier(X2)),X6,X5),the_carrier(X6))
| ~ element(sK14(X7,X6,X8,sK15(sK8(the_carrier(X2)),X6,X5)),the_carrier(X6))
| empty(the_carrier(X2)) )
| ~ spl27_232
| ~ spl27_247 ),
inference(resolution,[],[f1918,f1728]) ).
fof(f6633,plain,
( spl27_642
| ~ spl27_231
| ~ spl27_247 ),
inference(avatar_split_clause,[],[f1971,f1917,f1723,f6631]) ).
fof(f6631,plain,
( spl27_642
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK13(X7,X6,X8,sK15(sK10(the_carrier(X2)),X6,X5)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK13(X7,X6,X8,sK15(sK10(the_carrier(X2)),X6,X5))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| ~ sP2(sK10(the_carrier(X2)),X6,X5)
| ~ element(sK15(sK10(the_carrier(X2)),X6,X5),the_carrier(X6))
| ~ sP0(X7,X6,X8)
| ~ element(sK13(X7,X6,X8,sK15(sK10(the_carrier(X2)),X6,X5)),the_carrier(X6))
| empty(the_carrier(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_642])]) ).
fof(f1971,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK13(X7,X6,X8,sK15(sK10(the_carrier(X2)),X6,X5)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK13(X7,X6,X8,sK15(sK10(the_carrier(X2)),X6,X5))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| ~ sP2(sK10(the_carrier(X2)),X6,X5)
| ~ element(sK15(sK10(the_carrier(X2)),X6,X5),the_carrier(X6))
| ~ sP0(X7,X6,X8)
| ~ element(sK13(X7,X6,X8,sK15(sK10(the_carrier(X2)),X6,X5)),the_carrier(X6))
| empty(the_carrier(X2)) )
| ~ spl27_231
| ~ spl27_247 ),
inference(resolution,[],[f1918,f1724]) ).
fof(f6629,plain,
( spl27_641
| ~ spl27_230
| ~ spl27_247 ),
inference(avatar_split_clause,[],[f1970,f1917,f1719,f6627]) ).
fof(f6627,plain,
( spl27_641
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK13(X7,X6,X8,sK15(sK9(the_carrier(X2)),X6,X5)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK13(X7,X6,X8,sK15(sK9(the_carrier(X2)),X6,X5))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| ~ sP2(sK9(the_carrier(X2)),X6,X5)
| ~ element(sK15(sK9(the_carrier(X2)),X6,X5),the_carrier(X6))
| ~ sP0(X7,X6,X8)
| ~ element(sK13(X7,X6,X8,sK15(sK9(the_carrier(X2)),X6,X5)),the_carrier(X6))
| empty(the_carrier(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_641])]) ).
fof(f1970,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK13(X7,X6,X8,sK15(sK9(the_carrier(X2)),X6,X5)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK13(X7,X6,X8,sK15(sK9(the_carrier(X2)),X6,X5))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| ~ sP2(sK9(the_carrier(X2)),X6,X5)
| ~ element(sK15(sK9(the_carrier(X2)),X6,X5),the_carrier(X6))
| ~ sP0(X7,X6,X8)
| ~ element(sK13(X7,X6,X8,sK15(sK9(the_carrier(X2)),X6,X5)),the_carrier(X6))
| empty(the_carrier(X2)) )
| ~ spl27_230
| ~ spl27_247 ),
inference(resolution,[],[f1918,f1720]) ).
fof(f6625,plain,
( spl27_640
| ~ spl27_229
| ~ spl27_247 ),
inference(avatar_split_clause,[],[f1969,f1917,f1715,f6623]) ).
fof(f6623,plain,
( spl27_640
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK13(X7,X6,X8,sK15(sK8(the_carrier(X2)),X6,X5)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK13(X7,X6,X8,sK15(sK8(the_carrier(X2)),X6,X5))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| ~ sP2(sK8(the_carrier(X2)),X6,X5)
| ~ element(sK15(sK8(the_carrier(X2)),X6,X5),the_carrier(X6))
| ~ sP0(X7,X6,X8)
| ~ element(sK13(X7,X6,X8,sK15(sK8(the_carrier(X2)),X6,X5)),the_carrier(X6))
| empty(the_carrier(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_640])]) ).
fof(f1969,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK13(X7,X6,X8,sK15(sK8(the_carrier(X2)),X6,X5)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK13(X7,X6,X8,sK15(sK8(the_carrier(X2)),X6,X5))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| ~ sP2(sK8(the_carrier(X2)),X6,X5)
| ~ element(sK15(sK8(the_carrier(X2)),X6,X5),the_carrier(X6))
| ~ sP0(X7,X6,X8)
| ~ element(sK13(X7,X6,X8,sK15(sK8(the_carrier(X2)),X6,X5)),the_carrier(X6))
| empty(the_carrier(X2)) )
| ~ spl27_229
| ~ spl27_247 ),
inference(resolution,[],[f1918,f1716]) ).
fof(f6621,plain,
( spl27_639
| ~ spl27_234
| ~ spl27_245 ),
inference(avatar_split_clause,[],[f1937,f1909,f1735,f6619]) ).
fof(f6619,plain,
( spl27_639
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK14(X7,X6,X8,sK15(sK10(the_carrier(X4)),X6,X5)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK14(X7,X6,X8,sK15(sK10(the_carrier(X4)),X6,X5))))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| ~ sP2(sK10(the_carrier(X4)),X6,X5)
| sP2(X7,X6,X8)
| ~ element(sK15(sK10(the_carrier(X4)),X6,X5),the_carrier(X6))
| ~ element(sK14(X7,X6,X8,sK15(sK10(the_carrier(X4)),X6,X5)),the_carrier(X6))
| empty(the_carrier(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_639])]) ).
fof(f1937,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK14(X7,X6,X8,sK15(sK10(the_carrier(X4)),X6,X5)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK14(X7,X6,X8,sK15(sK10(the_carrier(X4)),X6,X5))))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| ~ sP2(sK10(the_carrier(X4)),X6,X5)
| sP2(X7,X6,X8)
| ~ element(sK15(sK10(the_carrier(X4)),X6,X5),the_carrier(X6))
| ~ element(sK14(X7,X6,X8,sK15(sK10(the_carrier(X4)),X6,X5)),the_carrier(X6))
| empty(the_carrier(X4)) )
| ~ spl27_234
| ~ spl27_245 ),
inference(resolution,[],[f1910,f1736]) ).
fof(f6617,plain,
( spl27_638
| ~ spl27_233
| ~ spl27_245 ),
inference(avatar_split_clause,[],[f1936,f1909,f1731,f6615]) ).
fof(f6615,plain,
( spl27_638
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK14(X7,X6,X8,sK15(sK9(the_carrier(X4)),X6,X5)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK14(X7,X6,X8,sK15(sK9(the_carrier(X4)),X6,X5))))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| ~ sP2(sK9(the_carrier(X4)),X6,X5)
| sP2(X7,X6,X8)
| ~ element(sK15(sK9(the_carrier(X4)),X6,X5),the_carrier(X6))
| ~ element(sK14(X7,X6,X8,sK15(sK9(the_carrier(X4)),X6,X5)),the_carrier(X6))
| empty(the_carrier(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_638])]) ).
fof(f1936,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK14(X7,X6,X8,sK15(sK9(the_carrier(X4)),X6,X5)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK14(X7,X6,X8,sK15(sK9(the_carrier(X4)),X6,X5))))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| ~ sP2(sK9(the_carrier(X4)),X6,X5)
| sP2(X7,X6,X8)
| ~ element(sK15(sK9(the_carrier(X4)),X6,X5),the_carrier(X6))
| ~ element(sK14(X7,X6,X8,sK15(sK9(the_carrier(X4)),X6,X5)),the_carrier(X6))
| empty(the_carrier(X4)) )
| ~ spl27_233
| ~ spl27_245 ),
inference(resolution,[],[f1910,f1732]) ).
fof(f6613,plain,
( spl27_637
| ~ spl27_232
| ~ spl27_245 ),
inference(avatar_split_clause,[],[f1935,f1909,f1727,f6611]) ).
fof(f6611,plain,
( spl27_637
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK14(X7,X6,X8,sK15(sK8(the_carrier(X4)),X6,X5)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK14(X7,X6,X8,sK15(sK8(the_carrier(X4)),X6,X5))))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| ~ sP2(sK8(the_carrier(X4)),X6,X5)
| sP2(X7,X6,X8)
| ~ element(sK15(sK8(the_carrier(X4)),X6,X5),the_carrier(X6))
| ~ element(sK14(X7,X6,X8,sK15(sK8(the_carrier(X4)),X6,X5)),the_carrier(X6))
| empty(the_carrier(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_637])]) ).
fof(f1935,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK14(X7,X6,X8,sK15(sK8(the_carrier(X4)),X6,X5)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK14(X7,X6,X8,sK15(sK8(the_carrier(X4)),X6,X5))))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| ~ sP2(sK8(the_carrier(X4)),X6,X5)
| sP2(X7,X6,X8)
| ~ element(sK15(sK8(the_carrier(X4)),X6,X5),the_carrier(X6))
| ~ element(sK14(X7,X6,X8,sK15(sK8(the_carrier(X4)),X6,X5)),the_carrier(X6))
| empty(the_carrier(X4)) )
| ~ spl27_232
| ~ spl27_245 ),
inference(resolution,[],[f1910,f1728]) ).
fof(f6609,plain,
( spl27_636
| ~ spl27_231
| ~ spl27_245 ),
inference(avatar_split_clause,[],[f1932,f1909,f1723,f6607]) ).
fof(f6607,plain,
( spl27_636
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK13(X7,X6,X8,sK15(sK10(the_carrier(X4)),X6,X5)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK13(X7,X6,X8,sK15(sK10(the_carrier(X4)),X6,X5))))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| ~ sP2(sK10(the_carrier(X4)),X6,X5)
| ~ element(sK15(sK10(the_carrier(X4)),X6,X5),the_carrier(X6))
| ~ sP0(X7,X6,X8)
| ~ element(sK13(X7,X6,X8,sK15(sK10(the_carrier(X4)),X6,X5)),the_carrier(X6))
| empty(the_carrier(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_636])]) ).
fof(f1932,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK13(X7,X6,X8,sK15(sK10(the_carrier(X4)),X6,X5)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK13(X7,X6,X8,sK15(sK10(the_carrier(X4)),X6,X5))))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| ~ sP2(sK10(the_carrier(X4)),X6,X5)
| ~ element(sK15(sK10(the_carrier(X4)),X6,X5),the_carrier(X6))
| ~ sP0(X7,X6,X8)
| ~ element(sK13(X7,X6,X8,sK15(sK10(the_carrier(X4)),X6,X5)),the_carrier(X6))
| empty(the_carrier(X4)) )
| ~ spl27_231
| ~ spl27_245 ),
inference(resolution,[],[f1910,f1724]) ).
fof(f6605,plain,
( spl27_635
| ~ spl27_230
| ~ spl27_245 ),
inference(avatar_split_clause,[],[f1931,f1909,f1719,f6603]) ).
fof(f6603,plain,
( spl27_635
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK13(X7,X6,X8,sK15(sK9(the_carrier(X4)),X6,X5)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK13(X7,X6,X8,sK15(sK9(the_carrier(X4)),X6,X5))))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| ~ sP2(sK9(the_carrier(X4)),X6,X5)
| ~ element(sK15(sK9(the_carrier(X4)),X6,X5),the_carrier(X6))
| ~ sP0(X7,X6,X8)
| ~ element(sK13(X7,X6,X8,sK15(sK9(the_carrier(X4)),X6,X5)),the_carrier(X6))
| empty(the_carrier(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_635])]) ).
fof(f1931,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK13(X7,X6,X8,sK15(sK9(the_carrier(X4)),X6,X5)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK13(X7,X6,X8,sK15(sK9(the_carrier(X4)),X6,X5))))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| ~ sP2(sK9(the_carrier(X4)),X6,X5)
| ~ element(sK15(sK9(the_carrier(X4)),X6,X5),the_carrier(X6))
| ~ sP0(X7,X6,X8)
| ~ element(sK13(X7,X6,X8,sK15(sK9(the_carrier(X4)),X6,X5)),the_carrier(X6))
| empty(the_carrier(X4)) )
| ~ spl27_230
| ~ spl27_245 ),
inference(resolution,[],[f1910,f1720]) ).
fof(f6601,plain,
( spl27_634
| ~ spl27_229
| ~ spl27_245 ),
inference(avatar_split_clause,[],[f1930,f1909,f1715,f6599]) ).
fof(f6599,plain,
( spl27_634
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK13(X7,X6,X8,sK15(sK8(the_carrier(X4)),X6,X5)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK13(X7,X6,X8,sK15(sK8(the_carrier(X4)),X6,X5))))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| ~ sP2(sK8(the_carrier(X4)),X6,X5)
| ~ element(sK15(sK8(the_carrier(X4)),X6,X5),the_carrier(X6))
| ~ sP0(X7,X6,X8)
| ~ element(sK13(X7,X6,X8,sK15(sK8(the_carrier(X4)),X6,X5)),the_carrier(X6))
| empty(the_carrier(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_634])]) ).
fof(f1930,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK13(X7,X6,X8,sK15(sK8(the_carrier(X4)),X6,X5)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK13(X7,X6,X8,sK15(sK8(the_carrier(X4)),X6,X5))))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| ~ sP2(sK8(the_carrier(X4)),X6,X5)
| ~ element(sK15(sK8(the_carrier(X4)),X6,X5),the_carrier(X6))
| ~ sP0(X7,X6,X8)
| ~ element(sK13(X7,X6,X8,sK15(sK8(the_carrier(X4)),X6,X5)),the_carrier(X6))
| empty(the_carrier(X4)) )
| ~ spl27_229
| ~ spl27_245 ),
inference(resolution,[],[f1910,f1716]) ).
fof(f6595,plain,
( spl27_633
| ~ spl27_35
| ~ spl27_623 ),
inference(avatar_split_clause,[],[f6556,f6523,f396,f6593]) ).
fof(f6556,plain,
( ! [X0] :
( ~ in(X0,the_mapping(sK4,sK5))
| ~ in(cartesian_product2(the_carrier(sK5),the_carrier(sK4)),X0) )
| ~ spl27_35
| ~ spl27_623 ),
inference(resolution,[],[f6524,f397]) ).
fof(f6581,plain,
( spl27_632
| ~ spl27_234
| ~ spl27_244 ),
inference(avatar_split_clause,[],[f1889,f1866,f1735,f6579]) ).
fof(f6579,plain,
( spl27_632
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK14(X8,X7,X9,sK15(sK10(the_carrier(X0)),X7,X6)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK14(X8,X7,X9,sK15(sK10(the_carrier(X0)),X7,X6))))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| ~ sP2(sK10(the_carrier(X0)),X7,X6)
| sP2(X8,X7,X9)
| ~ element(sK15(sK10(the_carrier(X0)),X7,X6),the_carrier(X7))
| ~ element(sK14(X8,X7,X9,sK15(sK10(the_carrier(X0)),X7,X6)),the_carrier(X7))
| empty(the_carrier(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_632])]) ).
fof(f1889,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK14(X8,X7,X9,sK15(sK10(the_carrier(X0)),X7,X6)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK14(X8,X7,X9,sK15(sK10(the_carrier(X0)),X7,X6))))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| ~ sP2(sK10(the_carrier(X0)),X7,X6)
| sP2(X8,X7,X9)
| ~ element(sK15(sK10(the_carrier(X0)),X7,X6),the_carrier(X7))
| ~ element(sK14(X8,X7,X9,sK15(sK10(the_carrier(X0)),X7,X6)),the_carrier(X7))
| empty(the_carrier(X0)) )
| ~ spl27_234
| ~ spl27_244 ),
inference(resolution,[],[f1867,f1736]) ).
fof(f6577,plain,
( spl27_631
| ~ spl27_233
| ~ spl27_244 ),
inference(avatar_split_clause,[],[f1888,f1866,f1731,f6575]) ).
fof(f6575,plain,
( spl27_631
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK14(X8,X7,X9,sK15(sK9(the_carrier(X0)),X7,X6)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK14(X8,X7,X9,sK15(sK9(the_carrier(X0)),X7,X6))))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| ~ sP2(sK9(the_carrier(X0)),X7,X6)
| sP2(X8,X7,X9)
| ~ element(sK15(sK9(the_carrier(X0)),X7,X6),the_carrier(X7))
| ~ element(sK14(X8,X7,X9,sK15(sK9(the_carrier(X0)),X7,X6)),the_carrier(X7))
| empty(the_carrier(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_631])]) ).
fof(f1888,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK14(X8,X7,X9,sK15(sK9(the_carrier(X0)),X7,X6)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK14(X8,X7,X9,sK15(sK9(the_carrier(X0)),X7,X6))))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| ~ sP2(sK9(the_carrier(X0)),X7,X6)
| sP2(X8,X7,X9)
| ~ element(sK15(sK9(the_carrier(X0)),X7,X6),the_carrier(X7))
| ~ element(sK14(X8,X7,X9,sK15(sK9(the_carrier(X0)),X7,X6)),the_carrier(X7))
| empty(the_carrier(X0)) )
| ~ spl27_233
| ~ spl27_244 ),
inference(resolution,[],[f1867,f1732]) ).
fof(f6573,plain,
( spl27_630
| ~ spl27_232
| ~ spl27_244 ),
inference(avatar_split_clause,[],[f1887,f1866,f1727,f6571]) ).
fof(f6571,plain,
( spl27_630
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK14(X8,X7,X9,sK15(sK8(the_carrier(X0)),X7,X6)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK14(X8,X7,X9,sK15(sK8(the_carrier(X0)),X7,X6))))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| ~ sP2(sK8(the_carrier(X0)),X7,X6)
| sP2(X8,X7,X9)
| ~ element(sK15(sK8(the_carrier(X0)),X7,X6),the_carrier(X7))
| ~ element(sK14(X8,X7,X9,sK15(sK8(the_carrier(X0)),X7,X6)),the_carrier(X7))
| empty(the_carrier(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_630])]) ).
fof(f1887,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK14(X8,X7,X9,sK15(sK8(the_carrier(X0)),X7,X6)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK14(X8,X7,X9,sK15(sK8(the_carrier(X0)),X7,X6))))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| ~ sP2(sK8(the_carrier(X0)),X7,X6)
| sP2(X8,X7,X9)
| ~ element(sK15(sK8(the_carrier(X0)),X7,X6),the_carrier(X7))
| ~ element(sK14(X8,X7,X9,sK15(sK8(the_carrier(X0)),X7,X6)),the_carrier(X7))
| empty(the_carrier(X0)) )
| ~ spl27_232
| ~ spl27_244 ),
inference(resolution,[],[f1867,f1728]) ).
fof(f6569,plain,
( spl27_629
| ~ spl27_231
| ~ spl27_244 ),
inference(avatar_split_clause,[],[f1884,f1866,f1723,f6567]) ).
fof(f6567,plain,
( spl27_629
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK13(X8,X7,X9,sK15(sK10(the_carrier(X0)),X7,X6)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK13(X8,X7,X9,sK15(sK10(the_carrier(X0)),X7,X6))))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| ~ sP2(sK10(the_carrier(X0)),X7,X6)
| ~ element(sK15(sK10(the_carrier(X0)),X7,X6),the_carrier(X7))
| ~ sP0(X8,X7,X9)
| ~ element(sK13(X8,X7,X9,sK15(sK10(the_carrier(X0)),X7,X6)),the_carrier(X7))
| empty(the_carrier(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_629])]) ).
fof(f1884,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK13(X8,X7,X9,sK15(sK10(the_carrier(X0)),X7,X6)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK13(X8,X7,X9,sK15(sK10(the_carrier(X0)),X7,X6))))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| ~ sP2(sK10(the_carrier(X0)),X7,X6)
| ~ element(sK15(sK10(the_carrier(X0)),X7,X6),the_carrier(X7))
| ~ sP0(X8,X7,X9)
| ~ element(sK13(X8,X7,X9,sK15(sK10(the_carrier(X0)),X7,X6)),the_carrier(X7))
| empty(the_carrier(X0)) )
| ~ spl27_231
| ~ spl27_244 ),
inference(resolution,[],[f1867,f1724]) ).
fof(f6565,plain,
( spl27_628
| ~ spl27_230
| ~ spl27_244 ),
inference(avatar_split_clause,[],[f1883,f1866,f1719,f6563]) ).
fof(f6563,plain,
( spl27_628
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK13(X8,X7,X9,sK15(sK9(the_carrier(X0)),X7,X6)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK13(X8,X7,X9,sK15(sK9(the_carrier(X0)),X7,X6))))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| ~ sP2(sK9(the_carrier(X0)),X7,X6)
| ~ element(sK15(sK9(the_carrier(X0)),X7,X6),the_carrier(X7))
| ~ sP0(X8,X7,X9)
| ~ element(sK13(X8,X7,X9,sK15(sK9(the_carrier(X0)),X7,X6)),the_carrier(X7))
| empty(the_carrier(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_628])]) ).
fof(f1883,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK13(X8,X7,X9,sK15(sK9(the_carrier(X0)),X7,X6)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK13(X8,X7,X9,sK15(sK9(the_carrier(X0)),X7,X6))))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| ~ sP2(sK9(the_carrier(X0)),X7,X6)
| ~ element(sK15(sK9(the_carrier(X0)),X7,X6),the_carrier(X7))
| ~ sP0(X8,X7,X9)
| ~ element(sK13(X8,X7,X9,sK15(sK9(the_carrier(X0)),X7,X6)),the_carrier(X7))
| empty(the_carrier(X0)) )
| ~ spl27_230
| ~ spl27_244 ),
inference(resolution,[],[f1867,f1720]) ).
fof(f6553,plain,
( spl27_627
| ~ spl27_229
| ~ spl27_244 ),
inference(avatar_split_clause,[],[f1882,f1866,f1715,f6551]) ).
fof(f6551,plain,
( spl27_627
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK13(X8,X7,X9,sK15(sK8(the_carrier(X0)),X7,X6)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK13(X8,X7,X9,sK15(sK8(the_carrier(X0)),X7,X6))))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| ~ sP2(sK8(the_carrier(X0)),X7,X6)
| ~ element(sK15(sK8(the_carrier(X0)),X7,X6),the_carrier(X7))
| ~ sP0(X8,X7,X9)
| ~ element(sK13(X8,X7,X9,sK15(sK8(the_carrier(X0)),X7,X6)),the_carrier(X7))
| empty(the_carrier(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_627])]) ).
fof(f1882,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK13(X8,X7,X9,sK15(sK8(the_carrier(X0)),X7,X6)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK13(X8,X7,X9,sK15(sK8(the_carrier(X0)),X7,X6))))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| ~ sP2(sK8(the_carrier(X0)),X7,X6)
| ~ element(sK15(sK8(the_carrier(X0)),X7,X6),the_carrier(X7))
| ~ sP0(X8,X7,X9)
| ~ element(sK13(X8,X7,X9,sK15(sK8(the_carrier(X0)),X7,X6)),the_carrier(X7))
| empty(the_carrier(X0)) )
| ~ spl27_229
| ~ spl27_244 ),
inference(resolution,[],[f1867,f1716]) ).
fof(f6545,plain,
( spl27_626
| ~ spl27_241
| ~ spl27_248 ),
inference(avatar_split_clause,[],[f2037,f1996,f1835,f6543]) ).
fof(f6543,plain,
( spl27_626
<=> ! [X2,X3,X4,X0,X6,X5,X1,X7] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK13(X6,X5,X7,sK15(sK16(X3),X5,X4)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK13(X6,X5,X7,sK15(sK16(X3),X5,X4))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| ~ sP2(sK16(X3),X5,X4)
| ~ element(sK15(sK16(X3),X5,X4),the_carrier(X5))
| ~ sP0(X6,X5,X7)
| ~ element(sK13(X6,X5,X7,sK15(sK16(X3),X5,X4)),the_carrier(X5))
| ~ one_sorted_str(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_626])]) ).
fof(f2037,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK13(X6,X5,X7,sK15(sK16(X3),X5,X4)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK13(X6,X5,X7,sK15(sK16(X3),X5,X4))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| ~ sP2(sK16(X3),X5,X4)
| ~ element(sK15(sK16(X3),X5,X4),the_carrier(X5))
| ~ sP0(X6,X5,X7)
| ~ element(sK13(X6,X5,X7,sK15(sK16(X3),X5,X4)),the_carrier(X5))
| ~ one_sorted_str(X3) )
| ~ spl27_241
| ~ spl27_248 ),
inference(duplicate_literal_removal,[],[f2006]) ).
fof(f2006,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK13(X6,X5,X7,sK15(sK16(X3),X5,X4)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK13(X6,X5,X7,sK15(sK16(X3),X5,X4))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| ~ sP2(sK16(X3),X5,X4)
| ~ element(sK15(sK16(X3),X5,X4),the_carrier(X5))
| ~ sP0(X6,X5,X7)
| ~ element(sK13(X6,X5,X7,sK15(sK16(X3),X5,X4)),the_carrier(X5))
| ~ one_sorted_str(X3)
| empty_carrier(X3) )
| ~ spl27_241
| ~ spl27_248 ),
inference(resolution,[],[f1997,f1836]) ).
fof(f6541,plain,
( spl27_625
| ~ spl27_242
| ~ spl27_248 ),
inference(avatar_split_clause,[],[f2036,f1996,f1839,f6539]) ).
fof(f6539,plain,
( spl27_625
<=> ! [X2,X3,X4,X0,X6,X5,X1,X7] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK14(X6,X5,X7,sK15(sK16(X3),X5,X4)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK14(X6,X5,X7,sK15(sK16(X3),X5,X4))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| ~ sP2(sK16(X3),X5,X4)
| sP2(X6,X5,X7)
| ~ element(sK15(sK16(X3),X5,X4),the_carrier(X5))
| ~ element(sK14(X6,X5,X7,sK15(sK16(X3),X5,X4)),the_carrier(X5))
| ~ one_sorted_str(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_625])]) ).
fof(f2036,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK14(X6,X5,X7,sK15(sK16(X3),X5,X4)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK14(X6,X5,X7,sK15(sK16(X3),X5,X4))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| ~ sP2(sK16(X3),X5,X4)
| sP2(X6,X5,X7)
| ~ element(sK15(sK16(X3),X5,X4),the_carrier(X5))
| ~ element(sK14(X6,X5,X7,sK15(sK16(X3),X5,X4)),the_carrier(X5))
| ~ one_sorted_str(X3) )
| ~ spl27_242
| ~ spl27_248 ),
inference(duplicate_literal_removal,[],[f2007]) ).
fof(f2007,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK14(X6,X5,X7,sK15(sK16(X3),X5,X4)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK14(X6,X5,X7,sK15(sK16(X3),X5,X4))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| ~ sP2(sK16(X3),X5,X4)
| sP2(X6,X5,X7)
| ~ element(sK15(sK16(X3),X5,X4),the_carrier(X5))
| ~ element(sK14(X6,X5,X7,sK15(sK16(X3),X5,X4)),the_carrier(X5))
| ~ one_sorted_str(X3)
| empty_carrier(X3) )
| ~ spl27_242
| ~ spl27_248 ),
inference(resolution,[],[f1997,f1840]) ).
fof(f6529,plain,
( spl27_624
| ~ spl27_241
| ~ spl27_247 ),
inference(avatar_split_clause,[],[f1992,f1917,f1835,f6527]) ).
fof(f6527,plain,
( spl27_624
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK13(X7,X6,X8,sK15(sK16(X2),X6,X5)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK13(X7,X6,X8,sK15(sK16(X2),X6,X5))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| ~ sP2(sK16(X2),X6,X5)
| ~ element(sK15(sK16(X2),X6,X5),the_carrier(X6))
| ~ sP0(X7,X6,X8)
| ~ element(sK13(X7,X6,X8,sK15(sK16(X2),X6,X5)),the_carrier(X6))
| ~ one_sorted_str(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_624])]) ).
fof(f1992,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK13(X7,X6,X8,sK15(sK16(X2),X6,X5)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK13(X7,X6,X8,sK15(sK16(X2),X6,X5))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| ~ sP2(sK16(X2),X6,X5)
| ~ element(sK15(sK16(X2),X6,X5),the_carrier(X6))
| ~ sP0(X7,X6,X8)
| ~ element(sK13(X7,X6,X8,sK15(sK16(X2),X6,X5)),the_carrier(X6))
| ~ one_sorted_str(X2) )
| ~ spl27_241
| ~ spl27_247 ),
inference(duplicate_literal_removal,[],[f1961]) ).
fof(f1961,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK13(X7,X6,X8,sK15(sK16(X2),X6,X5)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK13(X7,X6,X8,sK15(sK16(X2),X6,X5))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| ~ sP2(sK16(X2),X6,X5)
| ~ element(sK15(sK16(X2),X6,X5),the_carrier(X6))
| ~ sP0(X7,X6,X8)
| ~ element(sK13(X7,X6,X8,sK15(sK16(X2),X6,X5)),the_carrier(X6))
| ~ one_sorted_str(X2)
| empty_carrier(X2) )
| ~ spl27_241
| ~ spl27_247 ),
inference(resolution,[],[f1918,f1836]) ).
fof(f6525,plain,
( spl27_533
| spl27_623
| ~ spl27_50
| ~ spl27_606 ),
inference(avatar_split_clause,[],[f6456,f6423,f465,f6523,f5679]) ).
fof(f5679,plain,
( spl27_533
<=> empty(cartesian_product2(the_carrier(sK5),the_carrier(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_533])]) ).
fof(f6423,plain,
( spl27_606
<=> ! [X0] :
( ~ in(X0,the_mapping(sK4,sK5))
| element(X0,cartesian_product2(the_carrier(sK5),the_carrier(sK4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_606])]) ).
fof(f6456,plain,
( ! [X0] :
( ~ in(X0,the_mapping(sK4,sK5))
| empty(cartesian_product2(the_carrier(sK5),the_carrier(sK4)))
| in(X0,cartesian_product2(the_carrier(sK5),the_carrier(sK4))) )
| ~ spl27_50
| ~ spl27_606 ),
inference(resolution,[],[f6424,f466]) ).
fof(f6424,plain,
( ! [X0] :
( element(X0,cartesian_product2(the_carrier(sK5),the_carrier(sK4)))
| ~ in(X0,the_mapping(sK4,sK5)) )
| ~ spl27_606 ),
inference(avatar_component_clause,[],[f6423]) ).
fof(f6521,plain,
( spl27_622
| ~ spl27_242
| ~ spl27_247 ),
inference(avatar_split_clause,[],[f1991,f1917,f1839,f6519]) ).
fof(f6519,plain,
( spl27_622
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK14(X7,X6,X8,sK15(sK16(X2),X6,X5)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK14(X7,X6,X8,sK15(sK16(X2),X6,X5))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| ~ sP2(sK16(X2),X6,X5)
| sP2(X7,X6,X8)
| ~ element(sK15(sK16(X2),X6,X5),the_carrier(X6))
| ~ element(sK14(X7,X6,X8,sK15(sK16(X2),X6,X5)),the_carrier(X6))
| ~ one_sorted_str(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_622])]) ).
fof(f1991,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK14(X7,X6,X8,sK15(sK16(X2),X6,X5)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK14(X7,X6,X8,sK15(sK16(X2),X6,X5))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| ~ sP2(sK16(X2),X6,X5)
| sP2(X7,X6,X8)
| ~ element(sK15(sK16(X2),X6,X5),the_carrier(X6))
| ~ element(sK14(X7,X6,X8,sK15(sK16(X2),X6,X5)),the_carrier(X6))
| ~ one_sorted_str(X2) )
| ~ spl27_242
| ~ spl27_247 ),
inference(duplicate_literal_removal,[],[f1962]) ).
fof(f1962,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK14(X7,X6,X8,sK15(sK16(X2),X6,X5)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK14(X7,X6,X8,sK15(sK16(X2),X6,X5))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| ~ sP2(sK16(X2),X6,X5)
| sP2(X7,X6,X8)
| ~ element(sK15(sK16(X2),X6,X5),the_carrier(X6))
| ~ element(sK14(X7,X6,X8,sK15(sK16(X2),X6,X5)),the_carrier(X6))
| ~ one_sorted_str(X2)
| empty_carrier(X2) )
| ~ spl27_242
| ~ spl27_247 ),
inference(resolution,[],[f1918,f1840]) ).
fof(f6517,plain,
( spl27_621
| ~ spl27_241
| ~ spl27_245 ),
inference(avatar_split_clause,[],[f1953,f1909,f1835,f6515]) ).
fof(f6515,plain,
( spl27_621
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK13(X7,X6,X8,sK15(sK16(X4),X6,X5)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK13(X7,X6,X8,sK15(sK16(X4),X6,X5))))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| ~ sP2(sK16(X4),X6,X5)
| ~ element(sK15(sK16(X4),X6,X5),the_carrier(X6))
| ~ sP0(X7,X6,X8)
| ~ element(sK13(X7,X6,X8,sK15(sK16(X4),X6,X5)),the_carrier(X6))
| ~ one_sorted_str(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_621])]) ).
fof(f1953,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK13(X7,X6,X8,sK15(sK16(X4),X6,X5)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK13(X7,X6,X8,sK15(sK16(X4),X6,X5))))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| ~ sP2(sK16(X4),X6,X5)
| ~ element(sK15(sK16(X4),X6,X5),the_carrier(X6))
| ~ sP0(X7,X6,X8)
| ~ element(sK13(X7,X6,X8,sK15(sK16(X4),X6,X5)),the_carrier(X6))
| ~ one_sorted_str(X4) )
| ~ spl27_241
| ~ spl27_245 ),
inference(duplicate_literal_removal,[],[f1922]) ).
fof(f1922,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK13(X7,X6,X8,sK15(sK16(X4),X6,X5)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK13(X7,X6,X8,sK15(sK16(X4),X6,X5))))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| ~ sP2(sK16(X4),X6,X5)
| ~ element(sK15(sK16(X4),X6,X5),the_carrier(X6))
| ~ sP0(X7,X6,X8)
| ~ element(sK13(X7,X6,X8,sK15(sK16(X4),X6,X5)),the_carrier(X6))
| ~ one_sorted_str(X4)
| empty_carrier(X4) )
| ~ spl27_241
| ~ spl27_245 ),
inference(resolution,[],[f1910,f1836]) ).
fof(f6513,plain,
( spl27_620
| ~ spl27_242
| ~ spl27_245 ),
inference(avatar_split_clause,[],[f1952,f1909,f1839,f6511]) ).
fof(f6511,plain,
( spl27_620
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK14(X7,X6,X8,sK15(sK16(X4),X6,X5)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK14(X7,X6,X8,sK15(sK16(X4),X6,X5))))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| ~ sP2(sK16(X4),X6,X5)
| sP2(X7,X6,X8)
| ~ element(sK15(sK16(X4),X6,X5),the_carrier(X6))
| ~ element(sK14(X7,X6,X8,sK15(sK16(X4),X6,X5)),the_carrier(X6))
| ~ one_sorted_str(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_620])]) ).
fof(f1952,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK14(X7,X6,X8,sK15(sK16(X4),X6,X5)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK14(X7,X6,X8,sK15(sK16(X4),X6,X5))))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| ~ sP2(sK16(X4),X6,X5)
| sP2(X7,X6,X8)
| ~ element(sK15(sK16(X4),X6,X5),the_carrier(X6))
| ~ element(sK14(X7,X6,X8,sK15(sK16(X4),X6,X5)),the_carrier(X6))
| ~ one_sorted_str(X4) )
| ~ spl27_242
| ~ spl27_245 ),
inference(duplicate_literal_removal,[],[f1923]) ).
fof(f1923,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK14(X7,X6,X8,sK15(sK16(X4),X6,X5)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK14(X7,X6,X8,sK15(sK16(X4),X6,X5))))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| ~ sP2(sK16(X4),X6,X5)
| sP2(X7,X6,X8)
| ~ element(sK15(sK16(X4),X6,X5),the_carrier(X6))
| ~ element(sK14(X7,X6,X8,sK15(sK16(X4),X6,X5)),the_carrier(X6))
| ~ one_sorted_str(X4)
| empty_carrier(X4) )
| ~ spl27_242
| ~ spl27_245 ),
inference(resolution,[],[f1910,f1840]) ).
fof(f6501,plain,
( spl27_619
| ~ spl27_218
| ~ spl27_248 ),
inference(avatar_split_clause,[],[f2018,f1996,f1636,f6499]) ).
fof(f6499,plain,
( spl27_619
<=> ! [X2,X3,X4,X0,X6,X5,X1,X7] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK14(X6,X5,X7,sK15(the_carrier(X3),X5,X4)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK14(X6,X5,X7,sK15(the_carrier(X3),X5,X4))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| ~ sP2(the_carrier(X3),X5,X4)
| sP2(X6,X5,X7)
| ~ element(sK15(the_carrier(X3),X5,X4),the_carrier(X5))
| ~ element(sK14(X6,X5,X7,sK15(the_carrier(X3),X5,X4)),the_carrier(X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_619])]) ).
fof(f2018,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK14(X6,X5,X7,sK15(the_carrier(X3),X5,X4)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK14(X6,X5,X7,sK15(the_carrier(X3),X5,X4))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| ~ sP2(the_carrier(X3),X5,X4)
| sP2(X6,X5,X7)
| ~ element(sK15(the_carrier(X3),X5,X4),the_carrier(X5))
| ~ element(sK14(X6,X5,X7,sK15(the_carrier(X3),X5,X4)),the_carrier(X5)) )
| ~ spl27_218
| ~ spl27_248 ),
inference(resolution,[],[f1997,f1637]) ).
fof(f6497,plain,
( spl27_618
| ~ spl27_216
| ~ spl27_248 ),
inference(avatar_split_clause,[],[f2013,f1996,f1625,f6495]) ).
fof(f6495,plain,
( spl27_618
<=> ! [X2,X3,X4,X0,X6,X5,X1,X7] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK13(X6,X5,X7,sK15(the_carrier(X3),X5,X4)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK13(X6,X5,X7,sK15(the_carrier(X3),X5,X4))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| ~ sP2(the_carrier(X3),X5,X4)
| ~ element(sK15(the_carrier(X3),X5,X4),the_carrier(X5))
| ~ sP0(X6,X5,X7)
| ~ element(sK13(X6,X5,X7,sK15(the_carrier(X3),X5,X4)),the_carrier(X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_618])]) ).
fof(f2013,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK13(X6,X5,X7,sK15(the_carrier(X3),X5,X4)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK13(X6,X5,X7,sK15(the_carrier(X3),X5,X4))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| ~ sP2(the_carrier(X3),X5,X4)
| ~ element(sK15(the_carrier(X3),X5,X4),the_carrier(X5))
| ~ sP0(X6,X5,X7)
| ~ element(sK13(X6,X5,X7,sK15(the_carrier(X3),X5,X4)),the_carrier(X5)) )
| ~ spl27_216
| ~ spl27_248 ),
inference(resolution,[],[f1997,f1626]) ).
fof(f6493,plain,
( spl27_617
| ~ spl27_241
| ~ spl27_244 ),
inference(avatar_split_clause,[],[f1905,f1866,f1835,f6491]) ).
fof(f6491,plain,
( spl27_617
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK13(X8,X7,X9,sK15(sK16(X0),X7,X6)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK13(X8,X7,X9,sK15(sK16(X0),X7,X6))))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| ~ sP2(sK16(X0),X7,X6)
| ~ element(sK15(sK16(X0),X7,X6),the_carrier(X7))
| ~ sP0(X8,X7,X9)
| ~ element(sK13(X8,X7,X9,sK15(sK16(X0),X7,X6)),the_carrier(X7))
| ~ one_sorted_str(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_617])]) ).
fof(f1905,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK13(X8,X7,X9,sK15(sK16(X0),X7,X6)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK13(X8,X7,X9,sK15(sK16(X0),X7,X6))))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| ~ sP2(sK16(X0),X7,X6)
| ~ element(sK15(sK16(X0),X7,X6),the_carrier(X7))
| ~ sP0(X8,X7,X9)
| ~ element(sK13(X8,X7,X9,sK15(sK16(X0),X7,X6)),the_carrier(X7))
| ~ one_sorted_str(X0) )
| ~ spl27_241
| ~ spl27_244 ),
inference(duplicate_literal_removal,[],[f1874]) ).
fof(f1874,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK13(X8,X7,X9,sK15(sK16(X0),X7,X6)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK13(X8,X7,X9,sK15(sK16(X0),X7,X6))))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| ~ sP2(sK16(X0),X7,X6)
| ~ element(sK15(sK16(X0),X7,X6),the_carrier(X7))
| ~ sP0(X8,X7,X9)
| ~ element(sK13(X8,X7,X9,sK15(sK16(X0),X7,X6)),the_carrier(X7))
| ~ one_sorted_str(X0)
| empty_carrier(X0) )
| ~ spl27_241
| ~ spl27_244 ),
inference(resolution,[],[f1867,f1836]) ).
fof(f6486,plain,
( spl27_616
| ~ spl27_242
| ~ spl27_244 ),
inference(avatar_split_clause,[],[f1904,f1866,f1839,f6484]) ).
fof(f6484,plain,
( spl27_616
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK14(X8,X7,X9,sK15(sK16(X0),X7,X6)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK14(X8,X7,X9,sK15(sK16(X0),X7,X6))))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| ~ sP2(sK16(X0),X7,X6)
| sP2(X8,X7,X9)
| ~ element(sK15(sK16(X0),X7,X6),the_carrier(X7))
| ~ element(sK14(X8,X7,X9,sK15(sK16(X0),X7,X6)),the_carrier(X7))
| ~ one_sorted_str(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_616])]) ).
fof(f1904,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK14(X8,X7,X9,sK15(sK16(X0),X7,X6)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK14(X8,X7,X9,sK15(sK16(X0),X7,X6))))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| ~ sP2(sK16(X0),X7,X6)
| sP2(X8,X7,X9)
| ~ element(sK15(sK16(X0),X7,X6),the_carrier(X7))
| ~ element(sK14(X8,X7,X9,sK15(sK16(X0),X7,X6)),the_carrier(X7))
| ~ one_sorted_str(X0) )
| ~ spl27_242
| ~ spl27_244 ),
inference(duplicate_literal_removal,[],[f1875]) ).
fof(f1875,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK14(X8,X7,X9,sK15(sK16(X0),X7,X6)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK14(X8,X7,X9,sK15(sK16(X0),X7,X6))))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| ~ sP2(sK16(X0),X7,X6)
| sP2(X8,X7,X9)
| ~ element(sK15(sK16(X0),X7,X6),the_carrier(X7))
| ~ element(sK14(X8,X7,X9,sK15(sK16(X0),X7,X6)),the_carrier(X7))
| ~ one_sorted_str(X0)
| empty_carrier(X0) )
| ~ spl27_242
| ~ spl27_244 ),
inference(resolution,[],[f1867,f1840]) ).
fof(f6474,plain,
( spl27_615
| ~ spl27_218
| ~ spl27_247 ),
inference(avatar_split_clause,[],[f1973,f1917,f1636,f6472]) ).
fof(f6472,plain,
( spl27_615
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK14(X7,X6,X8,sK15(the_carrier(X2),X6,X5)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK14(X7,X6,X8,sK15(the_carrier(X2),X6,X5))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| ~ sP2(the_carrier(X2),X6,X5)
| sP2(X7,X6,X8)
| ~ element(sK15(the_carrier(X2),X6,X5),the_carrier(X6))
| ~ element(sK14(X7,X6,X8,sK15(the_carrier(X2),X6,X5)),the_carrier(X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_615])]) ).
fof(f1973,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK14(X7,X6,X8,sK15(the_carrier(X2),X6,X5)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK14(X7,X6,X8,sK15(the_carrier(X2),X6,X5))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| ~ sP2(the_carrier(X2),X6,X5)
| sP2(X7,X6,X8)
| ~ element(sK15(the_carrier(X2),X6,X5),the_carrier(X6))
| ~ element(sK14(X7,X6,X8,sK15(the_carrier(X2),X6,X5)),the_carrier(X6)) )
| ~ spl27_218
| ~ spl27_247 ),
inference(resolution,[],[f1918,f1637]) ).
fof(f6470,plain,
( spl27_614
| ~ spl27_216
| ~ spl27_247 ),
inference(avatar_split_clause,[],[f1968,f1917,f1625,f6468]) ).
fof(f6468,plain,
( spl27_614
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK13(X7,X6,X8,sK15(the_carrier(X2),X6,X5)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK13(X7,X6,X8,sK15(the_carrier(X2),X6,X5))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| ~ sP2(the_carrier(X2),X6,X5)
| ~ element(sK15(the_carrier(X2),X6,X5),the_carrier(X6))
| ~ sP0(X7,X6,X8)
| ~ element(sK13(X7,X6,X8,sK15(the_carrier(X2),X6,X5)),the_carrier(X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_614])]) ).
fof(f1968,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK13(X7,X6,X8,sK15(the_carrier(X2),X6,X5)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK13(X7,X6,X8,sK15(the_carrier(X2),X6,X5))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| ~ sP2(the_carrier(X2),X6,X5)
| ~ element(sK15(the_carrier(X2),X6,X5),the_carrier(X6))
| ~ sP0(X7,X6,X8)
| ~ element(sK13(X7,X6,X8,sK15(the_carrier(X2),X6,X5)),the_carrier(X6)) )
| ~ spl27_216
| ~ spl27_247 ),
inference(resolution,[],[f1918,f1626]) ).
fof(f6466,plain,
( spl27_613
| ~ spl27_218
| ~ spl27_245 ),
inference(avatar_split_clause,[],[f1934,f1909,f1636,f6464]) ).
fof(f6464,plain,
( spl27_613
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK14(X7,X6,X8,sK15(the_carrier(X4),X6,X5)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK14(X7,X6,X8,sK15(the_carrier(X4),X6,X5))))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| ~ sP2(the_carrier(X4),X6,X5)
| sP2(X7,X6,X8)
| ~ element(sK15(the_carrier(X4),X6,X5),the_carrier(X6))
| ~ element(sK14(X7,X6,X8,sK15(the_carrier(X4),X6,X5)),the_carrier(X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_613])]) ).
fof(f1934,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK14(X7,X6,X8,sK15(the_carrier(X4),X6,X5)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK14(X7,X6,X8,sK15(the_carrier(X4),X6,X5))))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| ~ sP2(the_carrier(X4),X6,X5)
| sP2(X7,X6,X8)
| ~ element(sK15(the_carrier(X4),X6,X5),the_carrier(X6))
| ~ element(sK14(X7,X6,X8,sK15(the_carrier(X4),X6,X5)),the_carrier(X6)) )
| ~ spl27_218
| ~ spl27_245 ),
inference(resolution,[],[f1910,f1637]) ).
fof(f6462,plain,
( spl27_612
| ~ spl27_216
| ~ spl27_245 ),
inference(avatar_split_clause,[],[f1929,f1909,f1625,f6460]) ).
fof(f6460,plain,
( spl27_612
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK13(X7,X6,X8,sK15(the_carrier(X4),X6,X5)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK13(X7,X6,X8,sK15(the_carrier(X4),X6,X5))))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| ~ sP2(the_carrier(X4),X6,X5)
| ~ element(sK15(the_carrier(X4),X6,X5),the_carrier(X6))
| ~ sP0(X7,X6,X8)
| ~ element(sK13(X7,X6,X8,sK15(the_carrier(X4),X6,X5)),the_carrier(X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_612])]) ).
fof(f1929,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK13(X7,X6,X8,sK15(the_carrier(X4),X6,X5)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK13(X7,X6,X8,sK15(the_carrier(X4),X6,X5))))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| ~ sP2(the_carrier(X4),X6,X5)
| ~ element(sK15(the_carrier(X4),X6,X5),the_carrier(X6))
| ~ sP0(X7,X6,X8)
| ~ element(sK13(X7,X6,X8,sK15(the_carrier(X4),X6,X5)),the_carrier(X6)) )
| ~ spl27_216
| ~ spl27_245 ),
inference(resolution,[],[f1910,f1626]) ).
fof(f6453,plain,
( spl27_611
| ~ spl27_218
| ~ spl27_244 ),
inference(avatar_split_clause,[],[f1886,f1866,f1636,f6451]) ).
fof(f6451,plain,
( spl27_611
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK14(X8,X7,X9,sK15(the_carrier(X0),X7,X6)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK14(X8,X7,X9,sK15(the_carrier(X0),X7,X6))))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| ~ sP2(the_carrier(X0),X7,X6)
| sP2(X8,X7,X9)
| ~ element(sK15(the_carrier(X0),X7,X6),the_carrier(X7))
| ~ element(sK14(X8,X7,X9,sK15(the_carrier(X0),X7,X6)),the_carrier(X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_611])]) ).
fof(f1886,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK14(X8,X7,X9,sK15(the_carrier(X0),X7,X6)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK14(X8,X7,X9,sK15(the_carrier(X0),X7,X6))))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| ~ sP2(the_carrier(X0),X7,X6)
| sP2(X8,X7,X9)
| ~ element(sK15(the_carrier(X0),X7,X6),the_carrier(X7))
| ~ element(sK14(X8,X7,X9,sK15(the_carrier(X0),X7,X6)),the_carrier(X7)) )
| ~ spl27_218
| ~ spl27_244 ),
inference(resolution,[],[f1867,f1637]) ).
fof(f6449,plain,
( spl27_610
| ~ spl27_216
| ~ spl27_244 ),
inference(avatar_split_clause,[],[f1881,f1866,f1625,f6447]) ).
fof(f6447,plain,
( spl27_610
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK13(X8,X7,X9,sK15(the_carrier(X0),X7,X6)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK13(X8,X7,X9,sK15(the_carrier(X0),X7,X6))))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| ~ sP2(the_carrier(X0),X7,X6)
| ~ element(sK15(the_carrier(X0),X7,X6),the_carrier(X7))
| ~ sP0(X8,X7,X9)
| ~ element(sK13(X8,X7,X9,sK15(the_carrier(X0),X7,X6)),the_carrier(X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_610])]) ).
fof(f1881,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK13(X8,X7,X9,sK15(the_carrier(X0),X7,X6)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK13(X8,X7,X9,sK15(the_carrier(X0),X7,X6))))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| ~ sP2(the_carrier(X0),X7,X6)
| ~ element(sK15(the_carrier(X0),X7,X6),the_carrier(X7))
| ~ sP0(X8,X7,X9)
| ~ element(sK13(X8,X7,X9,sK15(the_carrier(X0),X7,X6)),the_carrier(X7)) )
| ~ spl27_216
| ~ spl27_244 ),
inference(resolution,[],[f1867,f1626]) ).
fof(f6441,plain,
( spl27_609
| ~ spl27_144
| ~ spl27_240 ),
inference(avatar_split_clause,[],[f1830,f1815,f1059,f6439]) ).
fof(f6439,plain,
( spl27_609
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ sP2(sK17(powerset(the_carrier(X0))),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK17(powerset(the_carrier(X0))),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK17(powerset(the_carrier(X0))),X1,X2)),the_carrier(X1))
| ~ net_str(X5,X6)
| empty_carrier(X5)
| ~ one_sorted_str(X6)
| empty_carrier(X6)
| apply_netmap(X6,X5,apply_netmap(X5,X0,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK17(powerset(the_carrier(X0))),X1,X2))))) = apply_on_structs(X5,X6,the_mapping(X6,X5),apply_netmap(X5,X0,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK17(powerset(the_carrier(X0))),X1,X2)))))
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_609])]) ).
fof(f1830,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP2(sK17(powerset(the_carrier(X0))),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK17(powerset(the_carrier(X0))),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK17(powerset(the_carrier(X0))),X1,X2)),the_carrier(X1))
| ~ net_str(X5,X6)
| empty_carrier(X5)
| ~ one_sorted_str(X6)
| empty_carrier(X6)
| apply_netmap(X6,X5,apply_netmap(X5,X0,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK17(powerset(the_carrier(X0))),X1,X2))))) = apply_on_structs(X5,X6,the_mapping(X6,X5),apply_netmap(X5,X0,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK17(powerset(the_carrier(X0))),X1,X2)))))
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5) )
| ~ spl27_144
| ~ spl27_240 ),
inference(resolution,[],[f1816,f1060]) ).
fof(f6437,plain,
( spl27_608
| ~ spl27_144
| ~ spl27_239 ),
inference(avatar_split_clause,[],[f1822,f1811,f1059,f6435]) ).
fof(f6435,plain,
( spl27_608
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ sP2(sK17(powerset(the_carrier(X0))),X1,X2)
| ~ element(sK15(sK17(powerset(the_carrier(X0))),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK17(powerset(the_carrier(X0))),X1,X2)),the_carrier(X1))
| ~ net_str(X5,X6)
| empty_carrier(X5)
| ~ one_sorted_str(X6)
| empty_carrier(X6)
| apply_netmap(X6,X5,apply_netmap(X5,X0,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK17(powerset(the_carrier(X0))),X1,X2))))) = apply_on_structs(X5,X6,the_mapping(X6,X5),apply_netmap(X5,X0,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK17(powerset(the_carrier(X0))),X1,X2)))))
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_608])]) ).
fof(f1822,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP2(sK17(powerset(the_carrier(X0))),X1,X2)
| ~ element(sK15(sK17(powerset(the_carrier(X0))),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK17(powerset(the_carrier(X0))),X1,X2)),the_carrier(X1))
| ~ net_str(X5,X6)
| empty_carrier(X5)
| ~ one_sorted_str(X6)
| empty_carrier(X6)
| apply_netmap(X6,X5,apply_netmap(X5,X0,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK17(powerset(the_carrier(X0))),X1,X2))))) = apply_on_structs(X5,X6,the_mapping(X6,X5),apply_netmap(X5,X0,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK17(powerset(the_carrier(X0))),X1,X2)))))
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5) )
| ~ spl27_144
| ~ spl27_239 ),
inference(resolution,[],[f1812,f1060]) ).
fof(f6429,plain,
( spl27_607
| ~ spl27_140
| ~ spl27_240 ),
inference(avatar_split_clause,[],[f1831,f1815,f1029,f6427]) ).
fof(f6427,plain,
( spl27_607
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ sP2(sK17(powerset(the_carrier(X0))),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK17(powerset(the_carrier(X0))),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK17(powerset(the_carrier(X0))),X1,X2)),the_carrier(X1))
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5)
| empty_carrier(X5)
| sP2(X6,X0,X7)
| apply_netmap(X5,X0,sK14(X6,X0,X7,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK17(powerset(the_carrier(X0))),X1,X2))))) = apply_on_structs(X0,X5,the_mapping(X5,X0),sK14(X6,X0,X7,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK17(powerset(the_carrier(X0))),X1,X2))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_607])]) ).
fof(f1831,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP2(sK17(powerset(the_carrier(X0))),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK17(powerset(the_carrier(X0))),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK17(powerset(the_carrier(X0))),X1,X2)),the_carrier(X1))
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5)
| empty_carrier(X5)
| sP2(X6,X0,X7)
| apply_netmap(X5,X0,sK14(X6,X0,X7,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK17(powerset(the_carrier(X0))),X1,X2))))) = apply_on_structs(X0,X5,the_mapping(X5,X0),sK14(X6,X0,X7,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK17(powerset(the_carrier(X0))),X1,X2))))) )
| ~ spl27_140
| ~ spl27_240 ),
inference(resolution,[],[f1816,f1030]) ).
fof(f6425,plain,
( spl27_606
| ~ spl27_121
| ~ spl27_335 ),
inference(avatar_split_clause,[],[f3031,f2928,f911,f6423]) ).
fof(f911,plain,
( spl27_121
<=> ! [X0,X3,X2,X1] :
( element(X0,cartesian_product2(X1,X2))
| ~ in(X0,X3)
| ~ relation_of2_as_subset(X3,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_121])]) ).
fof(f2928,plain,
( spl27_335
<=> relation_of2_as_subset(the_mapping(sK4,sK5),the_carrier(sK5),the_carrier(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_335])]) ).
fof(f3031,plain,
( ! [X0] :
( ~ in(X0,the_mapping(sK4,sK5))
| element(X0,cartesian_product2(the_carrier(sK5),the_carrier(sK4))) )
| ~ spl27_121
| ~ spl27_335 ),
inference(resolution,[],[f2930,f912]) ).
fof(f912,plain,
( ! [X2,X3,X0,X1] :
( ~ relation_of2_as_subset(X3,X1,X2)
| ~ in(X0,X3)
| element(X0,cartesian_product2(X1,X2)) )
| ~ spl27_121 ),
inference(avatar_component_clause,[],[f911]) ).
fof(f2930,plain,
( relation_of2_as_subset(the_mapping(sK4,sK5),the_carrier(sK5),the_carrier(sK4))
| ~ spl27_335 ),
inference(avatar_component_clause,[],[f2928]) ).
fof(f6421,plain,
( spl27_605
| ~ spl27_140
| ~ spl27_239 ),
inference(avatar_split_clause,[],[f1823,f1811,f1029,f6419]) ).
fof(f6419,plain,
( spl27_605
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ sP2(sK17(powerset(the_carrier(X0))),X1,X2)
| ~ element(sK15(sK17(powerset(the_carrier(X0))),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK17(powerset(the_carrier(X0))),X1,X2)),the_carrier(X1))
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5)
| empty_carrier(X5)
| sP2(X6,X0,X7)
| apply_netmap(X5,X0,sK14(X6,X0,X7,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK17(powerset(the_carrier(X0))),X1,X2))))) = apply_on_structs(X0,X5,the_mapping(X5,X0),sK14(X6,X0,X7,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK17(powerset(the_carrier(X0))),X1,X2))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_605])]) ).
fof(f1823,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP2(sK17(powerset(the_carrier(X0))),X1,X2)
| ~ element(sK15(sK17(powerset(the_carrier(X0))),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK17(powerset(the_carrier(X0))),X1,X2)),the_carrier(X1))
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5)
| empty_carrier(X5)
| sP2(X6,X0,X7)
| apply_netmap(X5,X0,sK14(X6,X0,X7,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK17(powerset(the_carrier(X0))),X1,X2))))) = apply_on_structs(X0,X5,the_mapping(X5,X0),sK14(X6,X0,X7,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK17(powerset(the_carrier(X0))),X1,X2))))) )
| ~ spl27_140
| ~ spl27_239 ),
inference(resolution,[],[f1812,f1030]) ).
fof(f6405,plain,
( spl27_604
| ~ spl27_144
| ~ spl27_234 ),
inference(avatar_split_clause,[],[f1787,f1735,f1059,f6403]) ).
fof(f6403,plain,
( spl27_604
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ sP2(sK10(the_carrier(X0)),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK10(the_carrier(X0)),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK10(the_carrier(X0)),X1,X2)),the_carrier(X1))
| empty(the_carrier(X0))
| ~ net_str(X5,X6)
| empty_carrier(X5)
| ~ one_sorted_str(X6)
| empty_carrier(X6)
| apply_netmap(X6,X5,apply_netmap(X5,X0,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK10(the_carrier(X0)),X1,X2))))) = apply_on_structs(X5,X6,the_mapping(X6,X5),apply_netmap(X5,X0,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK10(the_carrier(X0)),X1,X2)))))
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_604])]) ).
fof(f1787,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP2(sK10(the_carrier(X0)),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK10(the_carrier(X0)),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK10(the_carrier(X0)),X1,X2)),the_carrier(X1))
| empty(the_carrier(X0))
| ~ net_str(X5,X6)
| empty_carrier(X5)
| ~ one_sorted_str(X6)
| empty_carrier(X6)
| apply_netmap(X6,X5,apply_netmap(X5,X0,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK10(the_carrier(X0)),X1,X2))))) = apply_on_structs(X5,X6,the_mapping(X6,X5),apply_netmap(X5,X0,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK10(the_carrier(X0)),X1,X2)))))
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5) )
| ~ spl27_144
| ~ spl27_234 ),
inference(resolution,[],[f1736,f1060]) ).
fof(f6401,plain,
( spl27_603
| ~ spl27_144
| ~ spl27_233 ),
inference(avatar_split_clause,[],[f1778,f1731,f1059,f6399]) ).
fof(f6399,plain,
( spl27_603
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ sP2(sK9(the_carrier(X0)),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK9(the_carrier(X0)),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK9(the_carrier(X0)),X1,X2)),the_carrier(X1))
| empty(the_carrier(X0))
| ~ net_str(X5,X6)
| empty_carrier(X5)
| ~ one_sorted_str(X6)
| empty_carrier(X6)
| apply_netmap(X6,X5,apply_netmap(X5,X0,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK9(the_carrier(X0)),X1,X2))))) = apply_on_structs(X5,X6,the_mapping(X6,X5),apply_netmap(X5,X0,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK9(the_carrier(X0)),X1,X2)))))
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_603])]) ).
fof(f1778,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP2(sK9(the_carrier(X0)),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK9(the_carrier(X0)),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK9(the_carrier(X0)),X1,X2)),the_carrier(X1))
| empty(the_carrier(X0))
| ~ net_str(X5,X6)
| empty_carrier(X5)
| ~ one_sorted_str(X6)
| empty_carrier(X6)
| apply_netmap(X6,X5,apply_netmap(X5,X0,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK9(the_carrier(X0)),X1,X2))))) = apply_on_structs(X5,X6,the_mapping(X6,X5),apply_netmap(X5,X0,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK9(the_carrier(X0)),X1,X2)))))
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5) )
| ~ spl27_144
| ~ spl27_233 ),
inference(resolution,[],[f1732,f1060]) ).
fof(f6397,plain,
( spl27_602
| ~ spl27_144
| ~ spl27_232 ),
inference(avatar_split_clause,[],[f1769,f1727,f1059,f6395]) ).
fof(f6395,plain,
( spl27_602
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ sP2(sK8(the_carrier(X0)),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK8(the_carrier(X0)),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK8(the_carrier(X0)),X1,X2)),the_carrier(X1))
| empty(the_carrier(X0))
| ~ net_str(X5,X6)
| empty_carrier(X5)
| ~ one_sorted_str(X6)
| empty_carrier(X6)
| apply_netmap(X6,X5,apply_netmap(X5,X0,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK8(the_carrier(X0)),X1,X2))))) = apply_on_structs(X5,X6,the_mapping(X6,X5),apply_netmap(X5,X0,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK8(the_carrier(X0)),X1,X2)))))
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_602])]) ).
fof(f1769,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP2(sK8(the_carrier(X0)),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK8(the_carrier(X0)),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK8(the_carrier(X0)),X1,X2)),the_carrier(X1))
| empty(the_carrier(X0))
| ~ net_str(X5,X6)
| empty_carrier(X5)
| ~ one_sorted_str(X6)
| empty_carrier(X6)
| apply_netmap(X6,X5,apply_netmap(X5,X0,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK8(the_carrier(X0)),X1,X2))))) = apply_on_structs(X5,X6,the_mapping(X6,X5),apply_netmap(X5,X0,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK8(the_carrier(X0)),X1,X2)))))
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5) )
| ~ spl27_144
| ~ spl27_232 ),
inference(resolution,[],[f1728,f1060]) ).
fof(f6390,plain,
( spl27_601
| ~ spl27_144
| ~ spl27_231 ),
inference(avatar_split_clause,[],[f1760,f1723,f1059,f6388]) ).
fof(f6388,plain,
( spl27_601
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ sP2(sK10(the_carrier(X0)),X1,X2)
| ~ element(sK15(sK10(the_carrier(X0)),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK10(the_carrier(X0)),X1,X2)),the_carrier(X1))
| empty(the_carrier(X0))
| ~ net_str(X5,X6)
| empty_carrier(X5)
| ~ one_sorted_str(X6)
| empty_carrier(X6)
| apply_netmap(X6,X5,apply_netmap(X5,X0,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK10(the_carrier(X0)),X1,X2))))) = apply_on_structs(X5,X6,the_mapping(X6,X5),apply_netmap(X5,X0,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK10(the_carrier(X0)),X1,X2)))))
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_601])]) ).
fof(f1760,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP2(sK10(the_carrier(X0)),X1,X2)
| ~ element(sK15(sK10(the_carrier(X0)),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK10(the_carrier(X0)),X1,X2)),the_carrier(X1))
| empty(the_carrier(X0))
| ~ net_str(X5,X6)
| empty_carrier(X5)
| ~ one_sorted_str(X6)
| empty_carrier(X6)
| apply_netmap(X6,X5,apply_netmap(X5,X0,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK10(the_carrier(X0)),X1,X2))))) = apply_on_structs(X5,X6,the_mapping(X6,X5),apply_netmap(X5,X0,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK10(the_carrier(X0)),X1,X2)))))
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5) )
| ~ spl27_144
| ~ spl27_231 ),
inference(resolution,[],[f1724,f1060]) ).
fof(f6386,plain,
( spl27_600
| ~ spl27_144
| ~ spl27_230 ),
inference(avatar_split_clause,[],[f1751,f1719,f1059,f6384]) ).
fof(f6384,plain,
( spl27_600
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ sP2(sK9(the_carrier(X0)),X1,X2)
| ~ element(sK15(sK9(the_carrier(X0)),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK9(the_carrier(X0)),X1,X2)),the_carrier(X1))
| empty(the_carrier(X0))
| ~ net_str(X5,X6)
| empty_carrier(X5)
| ~ one_sorted_str(X6)
| empty_carrier(X6)
| apply_netmap(X6,X5,apply_netmap(X5,X0,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK9(the_carrier(X0)),X1,X2))))) = apply_on_structs(X5,X6,the_mapping(X6,X5),apply_netmap(X5,X0,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK9(the_carrier(X0)),X1,X2)))))
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_600])]) ).
fof(f1751,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP2(sK9(the_carrier(X0)),X1,X2)
| ~ element(sK15(sK9(the_carrier(X0)),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK9(the_carrier(X0)),X1,X2)),the_carrier(X1))
| empty(the_carrier(X0))
| ~ net_str(X5,X6)
| empty_carrier(X5)
| ~ one_sorted_str(X6)
| empty_carrier(X6)
| apply_netmap(X6,X5,apply_netmap(X5,X0,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK9(the_carrier(X0)),X1,X2))))) = apply_on_structs(X5,X6,the_mapping(X6,X5),apply_netmap(X5,X0,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK9(the_carrier(X0)),X1,X2)))))
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5) )
| ~ spl27_144
| ~ spl27_230 ),
inference(resolution,[],[f1720,f1060]) ).
fof(f6382,plain,
( spl27_599
| ~ spl27_144
| ~ spl27_229 ),
inference(avatar_split_clause,[],[f1742,f1715,f1059,f6380]) ).
fof(f6380,plain,
( spl27_599
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ sP2(sK8(the_carrier(X0)),X1,X2)
| ~ element(sK15(sK8(the_carrier(X0)),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK8(the_carrier(X0)),X1,X2)),the_carrier(X1))
| empty(the_carrier(X0))
| ~ net_str(X5,X6)
| empty_carrier(X5)
| ~ one_sorted_str(X6)
| empty_carrier(X6)
| apply_netmap(X6,X5,apply_netmap(X5,X0,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK8(the_carrier(X0)),X1,X2))))) = apply_on_structs(X5,X6,the_mapping(X6,X5),apply_netmap(X5,X0,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK8(the_carrier(X0)),X1,X2)))))
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_599])]) ).
fof(f1742,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP2(sK8(the_carrier(X0)),X1,X2)
| ~ element(sK15(sK8(the_carrier(X0)),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK8(the_carrier(X0)),X1,X2)),the_carrier(X1))
| empty(the_carrier(X0))
| ~ net_str(X5,X6)
| empty_carrier(X5)
| ~ one_sorted_str(X6)
| empty_carrier(X6)
| apply_netmap(X6,X5,apply_netmap(X5,X0,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK8(the_carrier(X0)),X1,X2))))) = apply_on_structs(X5,X6,the_mapping(X6,X5),apply_netmap(X5,X0,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK8(the_carrier(X0)),X1,X2)))))
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5) )
| ~ spl27_144
| ~ spl27_229 ),
inference(resolution,[],[f1716,f1060]) ).
fof(f6366,plain,
( spl27_598
| ~ spl27_140
| ~ spl27_234 ),
inference(avatar_split_clause,[],[f1788,f1735,f1029,f6364]) ).
fof(f6364,plain,
( spl27_598
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ sP2(sK10(the_carrier(X0)),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK10(the_carrier(X0)),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK10(the_carrier(X0)),X1,X2)),the_carrier(X1))
| empty(the_carrier(X0))
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5)
| empty_carrier(X5)
| sP2(X6,X0,X7)
| apply_netmap(X5,X0,sK14(X6,X0,X7,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK10(the_carrier(X0)),X1,X2))))) = apply_on_structs(X0,X5,the_mapping(X5,X0),sK14(X6,X0,X7,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK10(the_carrier(X0)),X1,X2))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_598])]) ).
fof(f1788,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP2(sK10(the_carrier(X0)),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK10(the_carrier(X0)),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK10(the_carrier(X0)),X1,X2)),the_carrier(X1))
| empty(the_carrier(X0))
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5)
| empty_carrier(X5)
| sP2(X6,X0,X7)
| apply_netmap(X5,X0,sK14(X6,X0,X7,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK10(the_carrier(X0)),X1,X2))))) = apply_on_structs(X0,X5,the_mapping(X5,X0),sK14(X6,X0,X7,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK10(the_carrier(X0)),X1,X2))))) )
| ~ spl27_140
| ~ spl27_234 ),
inference(resolution,[],[f1736,f1030]) ).
fof(f6362,plain,
( spl27_597
| spl27_316
| ~ spl27_50
| ~ spl27_304 ),
inference(avatar_split_clause,[],[f2648,f2480,f465,f2650,f6359]) ).
fof(f6359,plain,
( spl27_597
<=> in(apply_netmap(sK4,sK5,sK17(the_carrier(sK5))),the_carrier(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_597])]) ).
fof(f2648,plain,
( empty(the_carrier(sK4))
| in(apply_netmap(sK4,sK5,sK17(the_carrier(sK5))),the_carrier(sK4))
| ~ spl27_50
| ~ spl27_304 ),
inference(resolution,[],[f2482,f466]) ).
fof(f6357,plain,
( spl27_596
| ~ spl27_140
| ~ spl27_233 ),
inference(avatar_split_clause,[],[f1779,f1731,f1029,f6355]) ).
fof(f6355,plain,
( spl27_596
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ sP2(sK9(the_carrier(X0)),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK9(the_carrier(X0)),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK9(the_carrier(X0)),X1,X2)),the_carrier(X1))
| empty(the_carrier(X0))
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5)
| empty_carrier(X5)
| sP2(X6,X0,X7)
| apply_netmap(X5,X0,sK14(X6,X0,X7,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK9(the_carrier(X0)),X1,X2))))) = apply_on_structs(X0,X5,the_mapping(X5,X0),sK14(X6,X0,X7,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK9(the_carrier(X0)),X1,X2))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_596])]) ).
fof(f1779,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP2(sK9(the_carrier(X0)),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK9(the_carrier(X0)),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK9(the_carrier(X0)),X1,X2)),the_carrier(X1))
| empty(the_carrier(X0))
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5)
| empty_carrier(X5)
| sP2(X6,X0,X7)
| apply_netmap(X5,X0,sK14(X6,X0,X7,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK9(the_carrier(X0)),X1,X2))))) = apply_on_structs(X0,X5,the_mapping(X5,X0),sK14(X6,X0,X7,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK9(the_carrier(X0)),X1,X2))))) )
| ~ spl27_140
| ~ spl27_233 ),
inference(resolution,[],[f1732,f1030]) ).
fof(f6353,plain,
( spl27_595
| ~ spl27_140
| ~ spl27_232 ),
inference(avatar_split_clause,[],[f1770,f1727,f1029,f6351]) ).
fof(f6351,plain,
( spl27_595
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ sP2(sK8(the_carrier(X0)),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK8(the_carrier(X0)),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK8(the_carrier(X0)),X1,X2)),the_carrier(X1))
| empty(the_carrier(X0))
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5)
| empty_carrier(X5)
| sP2(X6,X0,X7)
| apply_netmap(X5,X0,sK14(X6,X0,X7,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK8(the_carrier(X0)),X1,X2))))) = apply_on_structs(X0,X5,the_mapping(X5,X0),sK14(X6,X0,X7,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK8(the_carrier(X0)),X1,X2))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_595])]) ).
fof(f1770,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP2(sK8(the_carrier(X0)),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK8(the_carrier(X0)),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK8(the_carrier(X0)),X1,X2)),the_carrier(X1))
| empty(the_carrier(X0))
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5)
| empty_carrier(X5)
| sP2(X6,X0,X7)
| apply_netmap(X5,X0,sK14(X6,X0,X7,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK8(the_carrier(X0)),X1,X2))))) = apply_on_structs(X0,X5,the_mapping(X5,X0),sK14(X6,X0,X7,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK8(the_carrier(X0)),X1,X2))))) )
| ~ spl27_140
| ~ spl27_232 ),
inference(resolution,[],[f1728,f1030]) ).
fof(f6349,plain,
( spl27_594
| ~ spl27_140
| ~ spl27_231 ),
inference(avatar_split_clause,[],[f1761,f1723,f1029,f6347]) ).
fof(f6347,plain,
( spl27_594
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ sP2(sK10(the_carrier(X0)),X1,X2)
| ~ element(sK15(sK10(the_carrier(X0)),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK10(the_carrier(X0)),X1,X2)),the_carrier(X1))
| empty(the_carrier(X0))
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5)
| empty_carrier(X5)
| sP2(X6,X0,X7)
| apply_netmap(X5,X0,sK14(X6,X0,X7,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK10(the_carrier(X0)),X1,X2))))) = apply_on_structs(X0,X5,the_mapping(X5,X0),sK14(X6,X0,X7,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK10(the_carrier(X0)),X1,X2))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_594])]) ).
fof(f1761,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP2(sK10(the_carrier(X0)),X1,X2)
| ~ element(sK15(sK10(the_carrier(X0)),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK10(the_carrier(X0)),X1,X2)),the_carrier(X1))
| empty(the_carrier(X0))
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5)
| empty_carrier(X5)
| sP2(X6,X0,X7)
| apply_netmap(X5,X0,sK14(X6,X0,X7,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK10(the_carrier(X0)),X1,X2))))) = apply_on_structs(X0,X5,the_mapping(X5,X0),sK14(X6,X0,X7,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK10(the_carrier(X0)),X1,X2))))) )
| ~ spl27_140
| ~ spl27_231 ),
inference(resolution,[],[f1724,f1030]) ).
fof(f6345,plain,
( spl27_593
| ~ spl27_140
| ~ spl27_230 ),
inference(avatar_split_clause,[],[f1752,f1719,f1029,f6343]) ).
fof(f6343,plain,
( spl27_593
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ sP2(sK9(the_carrier(X0)),X1,X2)
| ~ element(sK15(sK9(the_carrier(X0)),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK9(the_carrier(X0)),X1,X2)),the_carrier(X1))
| empty(the_carrier(X0))
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5)
| empty_carrier(X5)
| sP2(X6,X0,X7)
| apply_netmap(X5,X0,sK14(X6,X0,X7,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK9(the_carrier(X0)),X1,X2))))) = apply_on_structs(X0,X5,the_mapping(X5,X0),sK14(X6,X0,X7,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK9(the_carrier(X0)),X1,X2))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_593])]) ).
fof(f1752,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP2(sK9(the_carrier(X0)),X1,X2)
| ~ element(sK15(sK9(the_carrier(X0)),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK9(the_carrier(X0)),X1,X2)),the_carrier(X1))
| empty(the_carrier(X0))
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5)
| empty_carrier(X5)
| sP2(X6,X0,X7)
| apply_netmap(X5,X0,sK14(X6,X0,X7,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK9(the_carrier(X0)),X1,X2))))) = apply_on_structs(X0,X5,the_mapping(X5,X0),sK14(X6,X0,X7,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK9(the_carrier(X0)),X1,X2))))) )
| ~ spl27_140
| ~ spl27_230 ),
inference(resolution,[],[f1720,f1030]) ).
fof(f6341,plain,
( spl27_592
| ~ spl27_140
| ~ spl27_229 ),
inference(avatar_split_clause,[],[f1743,f1715,f1029,f6339]) ).
fof(f6339,plain,
( spl27_592
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ sP2(sK8(the_carrier(X0)),X1,X2)
| ~ element(sK15(sK8(the_carrier(X0)),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK8(the_carrier(X0)),X1,X2)),the_carrier(X1))
| empty(the_carrier(X0))
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5)
| empty_carrier(X5)
| sP2(X6,X0,X7)
| apply_netmap(X5,X0,sK14(X6,X0,X7,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK8(the_carrier(X0)),X1,X2))))) = apply_on_structs(X0,X5,the_mapping(X5,X0),sK14(X6,X0,X7,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK8(the_carrier(X0)),X1,X2))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_592])]) ).
fof(f1743,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP2(sK8(the_carrier(X0)),X1,X2)
| ~ element(sK15(sK8(the_carrier(X0)),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK8(the_carrier(X0)),X1,X2)),the_carrier(X1))
| empty(the_carrier(X0))
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5)
| empty_carrier(X5)
| sP2(X6,X0,X7)
| apply_netmap(X5,X0,sK14(X6,X0,X7,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK8(the_carrier(X0)),X1,X2))))) = apply_on_structs(X0,X5,the_mapping(X5,X0),sK14(X6,X0,X7,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK8(the_carrier(X0)),X1,X2))))) )
| ~ spl27_140
| ~ spl27_229 ),
inference(resolution,[],[f1716,f1030]) ).
fof(f6297,plain,
( spl27_591
| ~ spl27_212
| ~ spl27_254 ),
inference(avatar_split_clause,[],[f2068,f2061,f1596,f6295]) ).
fof(f6295,plain,
( spl27_591
<=> ! [X2,X3,X4,X0,X5,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X3,sK11(X4),sK13(the_carrier(X2),sK11(X4),X3,X5)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X3,sK11(X4),sK13(the_carrier(X2),sK11(X4),X3,X5))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ element(X5,the_carrier(sK11(X4)))
| empty_carrier(sK11(X4))
| ~ one_sorted_str(X4)
| empty_carrier(X4)
| apply_netmap(X4,sK11(X4),sK12(the_carrier(X2),sK11(X4),X3)) = apply_on_structs(sK11(X4),X4,the_mapping(X4,sK11(X4)),sK12(the_carrier(X2),sK11(X4),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_591])]) ).
fof(f1596,plain,
( spl27_212
<=> ! [X2,X0,X1] :
( apply_netmap(X0,sK11(X0),sK12(X1,sK11(X0),X2)) = apply_on_structs(sK11(X0),X0,the_mapping(X0,sK11(X0)),sK12(X1,sK11(X0),X2))
| empty_carrier(sK11(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP0(X1,sK11(X0),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_212])]) ).
fof(f2068,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X3,sK11(X4),sK13(the_carrier(X2),sK11(X4),X3,X5)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X3,sK11(X4),sK13(the_carrier(X2),sK11(X4),X3,X5))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ element(X5,the_carrier(sK11(X4)))
| empty_carrier(sK11(X4))
| ~ one_sorted_str(X4)
| empty_carrier(X4)
| apply_netmap(X4,sK11(X4),sK12(the_carrier(X2),sK11(X4),X3)) = apply_on_structs(sK11(X4),X4,the_mapping(X4,sK11(X4)),sK12(the_carrier(X2),sK11(X4),X3)) )
| ~ spl27_212
| ~ spl27_254 ),
inference(resolution,[],[f2062,f1597]) ).
fof(f1597,plain,
( ! [X2,X0,X1] :
( sP0(X1,sK11(X0),X2)
| empty_carrier(sK11(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,sK11(X0),sK12(X1,sK11(X0),X2)) = apply_on_structs(sK11(X0),X0,the_mapping(X0,sK11(X0)),sK12(X1,sK11(X0),X2)) )
| ~ spl27_212 ),
inference(avatar_component_clause,[],[f1596]) ).
fof(f6253,plain,
( spl27_590
| ~ spl27_212
| ~ spl27_252 ),
inference(avatar_split_clause,[],[f2057,f2049,f1596,f6251]) ).
fof(f6251,plain,
( spl27_590
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X4,sK11(X5),sK13(the_carrier(X0),sK11(X5),X4,X6)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X4,sK11(X5),sK13(the_carrier(X0),sK11(X5),X4,X6))))
| ~ net_str(X0,X1)
| ~ element(X6,the_carrier(sK11(X5)))
| empty_carrier(sK11(X5))
| ~ one_sorted_str(X5)
| empty_carrier(X5)
| apply_netmap(X5,sK11(X5),sK12(the_carrier(X0),sK11(X5),X4)) = apply_on_structs(sK11(X5),X5,the_mapping(X5,sK11(X5)),sK12(the_carrier(X0),sK11(X5),X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_590])]) ).
fof(f2057,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X4,sK11(X5),sK13(the_carrier(X0),sK11(X5),X4,X6)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X4,sK11(X5),sK13(the_carrier(X0),sK11(X5),X4,X6))))
| ~ net_str(X0,X1)
| ~ element(X6,the_carrier(sK11(X5)))
| empty_carrier(sK11(X5))
| ~ one_sorted_str(X5)
| empty_carrier(X5)
| apply_netmap(X5,sK11(X5),sK12(the_carrier(X0),sK11(X5),X4)) = apply_on_structs(sK11(X5),X5,the_mapping(X5,sK11(X5)),sK12(the_carrier(X0),sK11(X5),X4)) )
| ~ spl27_212
| ~ spl27_252 ),
inference(resolution,[],[f2050,f1597]) ).
fof(f6246,plain,
( spl27_589
| ~ spl27_271
| ~ spl27_547 ),
inference(avatar_split_clause,[],[f5792,f5756,f2178,f6244]) ).
fof(f6244,plain,
( spl27_589
<=> ! [X0] :
( sK17(powerset(X0)) = sK17(powerset(sK6))
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_589])]) ).
fof(f5792,plain,
( ! [X0] :
( sK17(powerset(X0)) = sK17(powerset(sK6))
| ~ empty(X0) )
| ~ spl27_271
| ~ spl27_547 ),
inference(resolution,[],[f5758,f2179]) ).
fof(f6240,plain,
( spl27_588
| ~ spl27_144
| ~ spl27_242 ),
inference(avatar_split_clause,[],[f1857,f1839,f1059,f6238]) ).
fof(f6238,plain,
( spl27_588
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ sP2(sK16(X0),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK16(X0),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK16(X0),X1,X2)),the_carrier(X1))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ net_str(X5,X6)
| empty_carrier(X5)
| ~ one_sorted_str(X6)
| empty_carrier(X6)
| apply_netmap(X6,X5,apply_netmap(X5,X0,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK16(X0),X1,X2))))) = apply_on_structs(X5,X6,the_mapping(X6,X5),apply_netmap(X5,X0,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK16(X0),X1,X2)))))
| ~ net_str(X0,X5)
| ~ one_sorted_str(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_588])]) ).
fof(f1857,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP2(sK16(X0),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK16(X0),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK16(X0),X1,X2)),the_carrier(X1))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ net_str(X5,X6)
| empty_carrier(X5)
| ~ one_sorted_str(X6)
| empty_carrier(X6)
| apply_netmap(X6,X5,apply_netmap(X5,X0,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK16(X0),X1,X2))))) = apply_on_structs(X5,X6,the_mapping(X6,X5),apply_netmap(X5,X0,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK16(X0),X1,X2)))))
| ~ net_str(X0,X5)
| ~ one_sorted_str(X5) )
| ~ spl27_144
| ~ spl27_242 ),
inference(duplicate_literal_removal,[],[f1850]) ).
fof(f1850,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP2(sK16(X0),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK16(X0),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK16(X0),X1,X2)),the_carrier(X1))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ net_str(X5,X6)
| empty_carrier(X5)
| ~ one_sorted_str(X6)
| empty_carrier(X6)
| apply_netmap(X6,X5,apply_netmap(X5,X0,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK16(X0),X1,X2))))) = apply_on_structs(X5,X6,the_mapping(X6,X5),apply_netmap(X5,X0,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK16(X0),X1,X2)))))
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5) )
| ~ spl27_144
| ~ spl27_242 ),
inference(resolution,[],[f1840,f1060]) ).
fof(f6236,plain,
( spl27_587
| ~ spl27_144
| ~ spl27_241 ),
inference(avatar_split_clause,[],[f1849,f1835,f1059,f6234]) ).
fof(f6234,plain,
( spl27_587
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ sP2(sK16(X0),X1,X2)
| ~ element(sK15(sK16(X0),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK16(X0),X1,X2)),the_carrier(X1))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ net_str(X5,X6)
| empty_carrier(X5)
| ~ one_sorted_str(X6)
| empty_carrier(X6)
| apply_netmap(X6,X5,apply_netmap(X5,X0,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK16(X0),X1,X2))))) = apply_on_structs(X5,X6,the_mapping(X6,X5),apply_netmap(X5,X0,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK16(X0),X1,X2)))))
| ~ net_str(X0,X5)
| ~ one_sorted_str(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_587])]) ).
fof(f1849,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP2(sK16(X0),X1,X2)
| ~ element(sK15(sK16(X0),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK16(X0),X1,X2)),the_carrier(X1))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ net_str(X5,X6)
| empty_carrier(X5)
| ~ one_sorted_str(X6)
| empty_carrier(X6)
| apply_netmap(X6,X5,apply_netmap(X5,X0,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK16(X0),X1,X2))))) = apply_on_structs(X5,X6,the_mapping(X6,X5),apply_netmap(X5,X0,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK16(X0),X1,X2)))))
| ~ net_str(X0,X5)
| ~ one_sorted_str(X5) )
| ~ spl27_144
| ~ spl27_241 ),
inference(duplicate_literal_removal,[],[f1842]) ).
fof(f1842,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP2(sK16(X0),X1,X2)
| ~ element(sK15(sK16(X0),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK16(X0),X1,X2)),the_carrier(X1))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ net_str(X5,X6)
| empty_carrier(X5)
| ~ one_sorted_str(X6)
| empty_carrier(X6)
| apply_netmap(X6,X5,apply_netmap(X5,X0,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK16(X0),X1,X2))))) = apply_on_structs(X5,X6,the_mapping(X6,X5),apply_netmap(X5,X0,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK16(X0),X1,X2)))))
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5) )
| ~ spl27_144
| ~ spl27_241 ),
inference(resolution,[],[f1836,f1060]) ).
fof(f6228,plain,
( spl27_586
| ~ spl27_140
| ~ spl27_242 ),
inference(avatar_split_clause,[],[f1856,f1839,f1029,f6226]) ).
fof(f6226,plain,
( spl27_586
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ sP2(sK16(X0),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK16(X0),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK16(X0),X1,X2)),the_carrier(X1))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ net_str(X0,X5)
| ~ one_sorted_str(X5)
| empty_carrier(X5)
| sP2(X6,X0,X7)
| apply_netmap(X5,X0,sK14(X6,X0,X7,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK16(X0),X1,X2))))) = apply_on_structs(X0,X5,the_mapping(X5,X0),sK14(X6,X0,X7,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK16(X0),X1,X2))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_586])]) ).
fof(f1856,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP2(sK16(X0),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK16(X0),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK16(X0),X1,X2)),the_carrier(X1))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ net_str(X0,X5)
| ~ one_sorted_str(X5)
| empty_carrier(X5)
| sP2(X6,X0,X7)
| apply_netmap(X5,X0,sK14(X6,X0,X7,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK16(X0),X1,X2))))) = apply_on_structs(X0,X5,the_mapping(X5,X0),sK14(X6,X0,X7,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK16(X0),X1,X2))))) )
| ~ spl27_140
| ~ spl27_242 ),
inference(duplicate_literal_removal,[],[f1851]) ).
fof(f1851,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP2(sK16(X0),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK16(X0),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK16(X0),X1,X2)),the_carrier(X1))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5)
| empty_carrier(X5)
| sP2(X6,X0,X7)
| apply_netmap(X5,X0,sK14(X6,X0,X7,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK16(X0),X1,X2))))) = apply_on_structs(X0,X5,the_mapping(X5,X0),sK14(X6,X0,X7,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK16(X0),X1,X2))))) )
| ~ spl27_140
| ~ spl27_242 ),
inference(resolution,[],[f1840,f1030]) ).
fof(f6224,plain,
( spl27_585
| ~ spl27_140
| ~ spl27_241 ),
inference(avatar_split_clause,[],[f1848,f1835,f1029,f6222]) ).
fof(f6222,plain,
( spl27_585
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ sP2(sK16(X0),X1,X2)
| ~ element(sK15(sK16(X0),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK16(X0),X1,X2)),the_carrier(X1))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ net_str(X0,X5)
| ~ one_sorted_str(X5)
| empty_carrier(X5)
| sP2(X6,X0,X7)
| apply_netmap(X5,X0,sK14(X6,X0,X7,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK16(X0),X1,X2))))) = apply_on_structs(X0,X5,the_mapping(X5,X0),sK14(X6,X0,X7,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK16(X0),X1,X2))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_585])]) ).
fof(f1848,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP2(sK16(X0),X1,X2)
| ~ element(sK15(sK16(X0),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK16(X0),X1,X2)),the_carrier(X1))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ net_str(X0,X5)
| ~ one_sorted_str(X5)
| empty_carrier(X5)
| sP2(X6,X0,X7)
| apply_netmap(X5,X0,sK14(X6,X0,X7,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK16(X0),X1,X2))))) = apply_on_structs(X0,X5,the_mapping(X5,X0),sK14(X6,X0,X7,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK16(X0),X1,X2))))) )
| ~ spl27_140
| ~ spl27_241 ),
inference(duplicate_literal_removal,[],[f1843]) ).
fof(f1843,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP2(sK16(X0),X1,X2)
| ~ element(sK15(sK16(X0),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK16(X0),X1,X2)),the_carrier(X1))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5)
| empty_carrier(X5)
| sP2(X6,X0,X7)
| apply_netmap(X5,X0,sK14(X6,X0,X7,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK16(X0),X1,X2))))) = apply_on_structs(X0,X5,the_mapping(X5,X0),sK14(X6,X0,X7,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK16(X0),X1,X2))))) )
| ~ spl27_140
| ~ spl27_241 ),
inference(resolution,[],[f1836,f1030]) ).
fof(f6216,plain,
( spl27_584
| ~ spl27_144
| ~ spl27_218 ),
inference(avatar_split_clause,[],[f1655,f1636,f1059,f6214]) ).
fof(f6214,plain,
( spl27_584
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ sP2(the_carrier(X0),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(the_carrier(X0),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(the_carrier(X0),X1,X2)),the_carrier(X1))
| ~ net_str(X5,X6)
| empty_carrier(X5)
| ~ one_sorted_str(X6)
| empty_carrier(X6)
| apply_netmap(X6,X5,apply_netmap(X5,X0,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(the_carrier(X0),X1,X2))))) = apply_on_structs(X5,X6,the_mapping(X6,X5),apply_netmap(X5,X0,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(the_carrier(X0),X1,X2)))))
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_584])]) ).
fof(f1655,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP2(the_carrier(X0),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(the_carrier(X0),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(the_carrier(X0),X1,X2)),the_carrier(X1))
| ~ net_str(X5,X6)
| empty_carrier(X5)
| ~ one_sorted_str(X6)
| empty_carrier(X6)
| apply_netmap(X6,X5,apply_netmap(X5,X0,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(the_carrier(X0),X1,X2))))) = apply_on_structs(X5,X6,the_mapping(X6,X5),apply_netmap(X5,X0,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(the_carrier(X0),X1,X2)))))
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5) )
| ~ spl27_144
| ~ spl27_218 ),
inference(resolution,[],[f1637,f1060]) ).
fof(f6211,plain,
( spl27_583
| ~ spl27_262
| ~ spl27_547 ),
inference(avatar_split_clause,[],[f5793,f5756,f2117,f6208]) ).
fof(f6208,plain,
( spl27_583
<=> sK24 = sK17(powerset(sK17(powerset(sK6)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_583])]) ).
fof(f5793,plain,
( sK24 = sK17(powerset(sK17(powerset(sK6))))
| ~ spl27_262
| ~ spl27_547 ),
inference(resolution,[],[f5758,f2118]) ).
fof(f6206,plain,
( spl27_582
| ~ spl27_144
| ~ spl27_216 ),
inference(avatar_split_clause,[],[f1647,f1625,f1059,f6204]) ).
fof(f6204,plain,
( spl27_582
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ sP2(the_carrier(X0),X1,X2)
| ~ element(sK15(the_carrier(X0),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(the_carrier(X0),X1,X2)),the_carrier(X1))
| ~ net_str(X5,X6)
| empty_carrier(X5)
| ~ one_sorted_str(X6)
| empty_carrier(X6)
| apply_netmap(X6,X5,apply_netmap(X5,X0,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(the_carrier(X0),X1,X2))))) = apply_on_structs(X5,X6,the_mapping(X6,X5),apply_netmap(X5,X0,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(the_carrier(X0),X1,X2)))))
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_582])]) ).
fof(f1647,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP2(the_carrier(X0),X1,X2)
| ~ element(sK15(the_carrier(X0),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(the_carrier(X0),X1,X2)),the_carrier(X1))
| ~ net_str(X5,X6)
| empty_carrier(X5)
| ~ one_sorted_str(X6)
| empty_carrier(X6)
| apply_netmap(X6,X5,apply_netmap(X5,X0,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(the_carrier(X0),X1,X2))))) = apply_on_structs(X5,X6,the_mapping(X6,X5),apply_netmap(X5,X0,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(the_carrier(X0),X1,X2)))))
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5) )
| ~ spl27_144
| ~ spl27_216 ),
inference(resolution,[],[f1626,f1060]) ).
fof(f6198,plain,
( spl27_581
| ~ spl27_140
| ~ spl27_218 ),
inference(avatar_split_clause,[],[f1656,f1636,f1029,f6196]) ).
fof(f6196,plain,
( spl27_581
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ sP2(the_carrier(X0),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(the_carrier(X0),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(the_carrier(X0),X1,X2)),the_carrier(X1))
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5)
| empty_carrier(X5)
| sP2(X6,X0,X7)
| apply_netmap(X5,X0,sK14(X6,X0,X7,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(the_carrier(X0),X1,X2))))) = apply_on_structs(X0,X5,the_mapping(X5,X0),sK14(X6,X0,X7,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(the_carrier(X0),X1,X2))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_581])]) ).
fof(f1656,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP2(the_carrier(X0),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(the_carrier(X0),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(the_carrier(X0),X1,X2)),the_carrier(X1))
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5)
| empty_carrier(X5)
| sP2(X6,X0,X7)
| apply_netmap(X5,X0,sK14(X6,X0,X7,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(the_carrier(X0),X1,X2))))) = apply_on_structs(X0,X5,the_mapping(X5,X0),sK14(X6,X0,X7,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(the_carrier(X0),X1,X2))))) )
| ~ spl27_140
| ~ spl27_218 ),
inference(resolution,[],[f1637,f1030]) ).
fof(f6194,plain,
( spl27_580
| ~ spl27_140
| ~ spl27_216 ),
inference(avatar_split_clause,[],[f1648,f1625,f1029,f6192]) ).
fof(f6192,plain,
( spl27_580
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ sP2(the_carrier(X0),X1,X2)
| ~ element(sK15(the_carrier(X0),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(the_carrier(X0),X1,X2)),the_carrier(X1))
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5)
| empty_carrier(X5)
| sP2(X6,X0,X7)
| apply_netmap(X5,X0,sK14(X6,X0,X7,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(the_carrier(X0),X1,X2))))) = apply_on_structs(X0,X5,the_mapping(X5,X0),sK14(X6,X0,X7,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(the_carrier(X0),X1,X2))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_580])]) ).
fof(f1648,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP2(the_carrier(X0),X1,X2)
| ~ element(sK15(the_carrier(X0),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(the_carrier(X0),X1,X2)),the_carrier(X1))
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5)
| empty_carrier(X5)
| sP2(X6,X0,X7)
| apply_netmap(X5,X0,sK14(X6,X0,X7,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(the_carrier(X0),X1,X2))))) = apply_on_structs(X0,X5,the_mapping(X5,X0),sK14(X6,X0,X7,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(the_carrier(X0),X1,X2))))) )
| ~ spl27_140
| ~ spl27_216 ),
inference(resolution,[],[f1626,f1030]) ).
fof(f6150,plain,
( spl27_579
| ~ spl27_212
| ~ spl27_243 ),
inference(avatar_split_clause,[],[f1871,f1859,f1596,f6148]) ).
fof(f6148,plain,
( spl27_579
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( empty_carrier(sK11(X0))
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,sK11(X0),X3)
| apply_netmap(X1,sK11(X0),sK14(X2,sK11(X0),X3,sK13(X4,sK11(X0),X5,X6))) = apply_on_structs(sK11(X0),X1,the_mapping(X1,sK11(X0)),sK14(X2,sK11(X0),X3,sK13(X4,sK11(X0),X5,X6)))
| ~ element(X6,the_carrier(sK11(X0)))
| ~ net_str(sK11(X0),X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,sK11(X0),sK12(X4,sK11(X0),X5)) = apply_on_structs(sK11(X0),X0,the_mapping(X0,sK11(X0)),sK12(X4,sK11(X0),X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_579])]) ).
fof(f1871,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( empty_carrier(sK11(X0))
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,sK11(X0),X3)
| apply_netmap(X1,sK11(X0),sK14(X2,sK11(X0),X3,sK13(X4,sK11(X0),X5,X6))) = apply_on_structs(sK11(X0),X1,the_mapping(X1,sK11(X0)),sK14(X2,sK11(X0),X3,sK13(X4,sK11(X0),X5,X6)))
| ~ element(X6,the_carrier(sK11(X0)))
| ~ net_str(sK11(X0),X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,sK11(X0),sK12(X4,sK11(X0),X5)) = apply_on_structs(sK11(X0),X0,the_mapping(X0,sK11(X0)),sK12(X4,sK11(X0),X5)) )
| ~ spl27_212
| ~ spl27_243 ),
inference(duplicate_literal_removal,[],[f1870]) ).
fof(f1870,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( empty_carrier(sK11(X0))
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,sK11(X0),X3)
| apply_netmap(X1,sK11(X0),sK14(X2,sK11(X0),X3,sK13(X4,sK11(X0),X5,X6))) = apply_on_structs(sK11(X0),X1,the_mapping(X1,sK11(X0)),sK14(X2,sK11(X0),X3,sK13(X4,sK11(X0),X5,X6)))
| ~ element(X6,the_carrier(sK11(X0)))
| ~ net_str(sK11(X0),X1)
| empty_carrier(sK11(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,sK11(X0),sK12(X4,sK11(X0),X5)) = apply_on_structs(sK11(X0),X0,the_mapping(X0,sK11(X0)),sK12(X4,sK11(X0),X5)) )
| ~ spl27_212
| ~ spl27_243 ),
inference(resolution,[],[f1860,f1597]) ).
fof(f6142,plain,
( spl27_578
| ~ spl27_82
| ~ spl27_240 ),
inference(avatar_split_clause,[],[f1832,f1815,f653,f6140]) ).
fof(f6140,plain,
( spl27_578
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sP2(sK17(powerset(the_carrier(X0))),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK17(powerset(the_carrier(X0))),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK17(powerset(the_carrier(X0))),X1,X2)),the_carrier(X1))
| apply_netmap(X5,X0,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK17(powerset(the_carrier(X0))),X1,X2)))) = apply_on_structs(X0,X5,the_mapping(X5,X0),apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK17(powerset(the_carrier(X0))),X1,X2))))
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5)
| empty_carrier(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_578])]) ).
fof(f653,plain,
( spl27_82
<=> ! [X2,X0,X1] :
( apply_netmap(X0,X1,X2) = apply_on_structs(X1,X0,the_mapping(X0,X1),X2)
| ~ element(X2,the_carrier(X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_82])]) ).
fof(f1832,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sP2(sK17(powerset(the_carrier(X0))),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK17(powerset(the_carrier(X0))),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK17(powerset(the_carrier(X0))),X1,X2)),the_carrier(X1))
| apply_netmap(X5,X0,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK17(powerset(the_carrier(X0))),X1,X2)))) = apply_on_structs(X0,X5,the_mapping(X5,X0),apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK17(powerset(the_carrier(X0))),X1,X2))))
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5)
| empty_carrier(X5) )
| ~ spl27_82
| ~ spl27_240 ),
inference(resolution,[],[f1816,f654]) ).
fof(f654,plain,
( ! [X2,X0,X1] :
( ~ element(X2,the_carrier(X1))
| apply_netmap(X0,X1,X2) = apply_on_structs(X1,X0,the_mapping(X0,X1),X2)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) )
| ~ spl27_82 ),
inference(avatar_component_clause,[],[f653]) ).
fof(f6138,plain,
( spl27_577
| ~ spl27_82
| ~ spl27_239 ),
inference(avatar_split_clause,[],[f1824,f1811,f653,f6136]) ).
fof(f6136,plain,
( spl27_577
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sP2(sK17(powerset(the_carrier(X0))),X1,X2)
| ~ element(sK15(sK17(powerset(the_carrier(X0))),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK17(powerset(the_carrier(X0))),X1,X2)),the_carrier(X1))
| apply_netmap(X5,X0,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK17(powerset(the_carrier(X0))),X1,X2)))) = apply_on_structs(X0,X5,the_mapping(X5,X0),apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK17(powerset(the_carrier(X0))),X1,X2))))
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5)
| empty_carrier(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_577])]) ).
fof(f1824,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sP2(sK17(powerset(the_carrier(X0))),X1,X2)
| ~ element(sK15(sK17(powerset(the_carrier(X0))),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK17(powerset(the_carrier(X0))),X1,X2)),the_carrier(X1))
| apply_netmap(X5,X0,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK17(powerset(the_carrier(X0))),X1,X2)))) = apply_on_structs(X0,X5,the_mapping(X5,X0),apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK17(powerset(the_carrier(X0))),X1,X2))))
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5)
| empty_carrier(X5) )
| ~ spl27_82
| ~ spl27_239 ),
inference(resolution,[],[f1812,f654]) ).
fof(f6026,plain,
( ~ spl27_576
| spl27_546
| ~ spl27_558 ),
inference(avatar_split_clause,[],[f5980,f5842,f5752,f6023]) ).
fof(f6023,plain,
( spl27_576
<=> element(sK17(sK24),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_576])]) ).
fof(f5752,plain,
( spl27_546
<=> element(sK17(sK17(powerset(sK6))),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_546])]) ).
fof(f5842,plain,
( spl27_558
<=> sK24 = sK17(powerset(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_558])]) ).
fof(f5980,plain,
( ~ element(sK17(sK24),sK7)
| spl27_546
| ~ spl27_558 ),
inference(superposition,[],[f5753,f5844]) ).
fof(f5844,plain,
( sK24 = sK17(powerset(sK6))
| ~ spl27_558 ),
inference(avatar_component_clause,[],[f5842]) ).
fof(f5753,plain,
( ~ element(sK17(sK17(powerset(sK6))),sK7)
| spl27_546 ),
inference(avatar_component_clause,[],[f5752]) ).
fof(f6021,plain,
( spl27_575
| ~ spl27_212
| ~ spl27_246 ),
inference(avatar_split_clause,[],[f1958,f1913,f1596,f6019]) ).
fof(f6019,plain,
( spl27_575
<=> ! [X2,X3,X4,X0,X5,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,sK11(X2),sK13(X3,sK11(X2),X4,X5))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,sK11(X2),sK13(X3,sK11(X2),X4,X5)))
| ~ net_str(sK11(X2),X0)
| empty_carrier(sK11(X2))
| ~ one_sorted_str(X0)
| ~ element(X5,the_carrier(sK11(X2)))
| ~ net_str(X0,X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| apply_netmap(X2,sK11(X2),sK12(X3,sK11(X2),X4)) = apply_on_structs(sK11(X2),X2,the_mapping(X2,sK11(X2)),sK12(X3,sK11(X2),X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_575])]) ).
fof(f1958,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,sK11(X2),sK13(X3,sK11(X2),X4,X5))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,sK11(X2),sK13(X3,sK11(X2),X4,X5)))
| ~ net_str(sK11(X2),X0)
| empty_carrier(sK11(X2))
| ~ one_sorted_str(X0)
| ~ element(X5,the_carrier(sK11(X2)))
| ~ net_str(X0,X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| apply_netmap(X2,sK11(X2),sK12(X3,sK11(X2),X4)) = apply_on_structs(sK11(X2),X2,the_mapping(X2,sK11(X2)),sK12(X3,sK11(X2),X4)) )
| ~ spl27_212
| ~ spl27_246 ),
inference(duplicate_literal_removal,[],[f1957]) ).
fof(f1957,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,sK11(X2),sK13(X3,sK11(X2),X4,X5))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,sK11(X2),sK13(X3,sK11(X2),X4,X5)))
| ~ net_str(sK11(X2),X0)
| empty_carrier(sK11(X2))
| ~ one_sorted_str(X0)
| ~ element(X5,the_carrier(sK11(X2)))
| ~ net_str(X0,X1)
| empty_carrier(sK11(X2))
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| apply_netmap(X2,sK11(X2),sK12(X3,sK11(X2),X4)) = apply_on_structs(sK11(X2),X2,the_mapping(X2,sK11(X2)),sK12(X3,sK11(X2),X4)) )
| ~ spl27_212
| ~ spl27_246 ),
inference(resolution,[],[f1914,f1597]) ).
fof(f6017,plain,
( spl27_574
| ~ spl27_82
| ~ spl27_234 ),
inference(avatar_split_clause,[],[f1789,f1735,f653,f6015]) ).
fof(f6015,plain,
( spl27_574
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sP2(sK10(the_carrier(X0)),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK10(the_carrier(X0)),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK10(the_carrier(X0)),X1,X2)),the_carrier(X1))
| empty(the_carrier(X0))
| apply_netmap(X5,X0,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK10(the_carrier(X0)),X1,X2)))) = apply_on_structs(X0,X5,the_mapping(X5,X0),apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK10(the_carrier(X0)),X1,X2))))
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5)
| empty_carrier(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_574])]) ).
fof(f1789,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sP2(sK10(the_carrier(X0)),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK10(the_carrier(X0)),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK10(the_carrier(X0)),X1,X2)),the_carrier(X1))
| empty(the_carrier(X0))
| apply_netmap(X5,X0,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK10(the_carrier(X0)),X1,X2)))) = apply_on_structs(X0,X5,the_mapping(X5,X0),apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK10(the_carrier(X0)),X1,X2))))
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5)
| empty_carrier(X5) )
| ~ spl27_82
| ~ spl27_234 ),
inference(resolution,[],[f1736,f654]) ).
fof(f6013,plain,
( spl27_573
| ~ spl27_82
| ~ spl27_233 ),
inference(avatar_split_clause,[],[f1780,f1731,f653,f6011]) ).
fof(f6011,plain,
( spl27_573
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sP2(sK9(the_carrier(X0)),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK9(the_carrier(X0)),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK9(the_carrier(X0)),X1,X2)),the_carrier(X1))
| empty(the_carrier(X0))
| apply_netmap(X5,X0,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK9(the_carrier(X0)),X1,X2)))) = apply_on_structs(X0,X5,the_mapping(X5,X0),apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK9(the_carrier(X0)),X1,X2))))
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5)
| empty_carrier(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_573])]) ).
fof(f1780,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sP2(sK9(the_carrier(X0)),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK9(the_carrier(X0)),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK9(the_carrier(X0)),X1,X2)),the_carrier(X1))
| empty(the_carrier(X0))
| apply_netmap(X5,X0,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK9(the_carrier(X0)),X1,X2)))) = apply_on_structs(X0,X5,the_mapping(X5,X0),apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK9(the_carrier(X0)),X1,X2))))
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5)
| empty_carrier(X5) )
| ~ spl27_82
| ~ spl27_233 ),
inference(resolution,[],[f1732,f654]) ).
fof(f6009,plain,
( spl27_572
| ~ spl27_82
| ~ spl27_232 ),
inference(avatar_split_clause,[],[f1771,f1727,f653,f6007]) ).
fof(f6007,plain,
( spl27_572
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sP2(sK8(the_carrier(X0)),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK8(the_carrier(X0)),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK8(the_carrier(X0)),X1,X2)),the_carrier(X1))
| empty(the_carrier(X0))
| apply_netmap(X5,X0,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK8(the_carrier(X0)),X1,X2)))) = apply_on_structs(X0,X5,the_mapping(X5,X0),apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK8(the_carrier(X0)),X1,X2))))
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5)
| empty_carrier(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_572])]) ).
fof(f1771,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sP2(sK8(the_carrier(X0)),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK8(the_carrier(X0)),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK8(the_carrier(X0)),X1,X2)),the_carrier(X1))
| empty(the_carrier(X0))
| apply_netmap(X5,X0,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK8(the_carrier(X0)),X1,X2)))) = apply_on_structs(X0,X5,the_mapping(X5,X0),apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK8(the_carrier(X0)),X1,X2))))
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5)
| empty_carrier(X5) )
| ~ spl27_82
| ~ spl27_232 ),
inference(resolution,[],[f1728,f654]) ).
fof(f6005,plain,
( spl27_571
| ~ spl27_82
| ~ spl27_231 ),
inference(avatar_split_clause,[],[f1762,f1723,f653,f6003]) ).
fof(f6003,plain,
( spl27_571
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sP2(sK10(the_carrier(X0)),X1,X2)
| ~ element(sK15(sK10(the_carrier(X0)),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK10(the_carrier(X0)),X1,X2)),the_carrier(X1))
| empty(the_carrier(X0))
| apply_netmap(X5,X0,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK10(the_carrier(X0)),X1,X2)))) = apply_on_structs(X0,X5,the_mapping(X5,X0),apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK10(the_carrier(X0)),X1,X2))))
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5)
| empty_carrier(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_571])]) ).
fof(f1762,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sP2(sK10(the_carrier(X0)),X1,X2)
| ~ element(sK15(sK10(the_carrier(X0)),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK10(the_carrier(X0)),X1,X2)),the_carrier(X1))
| empty(the_carrier(X0))
| apply_netmap(X5,X0,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK10(the_carrier(X0)),X1,X2)))) = apply_on_structs(X0,X5,the_mapping(X5,X0),apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK10(the_carrier(X0)),X1,X2))))
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5)
| empty_carrier(X5) )
| ~ spl27_82
| ~ spl27_231 ),
inference(resolution,[],[f1724,f654]) ).
fof(f6001,plain,
( spl27_570
| ~ spl27_82
| ~ spl27_230 ),
inference(avatar_split_clause,[],[f1753,f1719,f653,f5999]) ).
fof(f5999,plain,
( spl27_570
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sP2(sK9(the_carrier(X0)),X1,X2)
| ~ element(sK15(sK9(the_carrier(X0)),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK9(the_carrier(X0)),X1,X2)),the_carrier(X1))
| empty(the_carrier(X0))
| apply_netmap(X5,X0,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK9(the_carrier(X0)),X1,X2)))) = apply_on_structs(X0,X5,the_mapping(X5,X0),apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK9(the_carrier(X0)),X1,X2))))
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5)
| empty_carrier(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_570])]) ).
fof(f1753,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sP2(sK9(the_carrier(X0)),X1,X2)
| ~ element(sK15(sK9(the_carrier(X0)),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK9(the_carrier(X0)),X1,X2)),the_carrier(X1))
| empty(the_carrier(X0))
| apply_netmap(X5,X0,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK9(the_carrier(X0)),X1,X2)))) = apply_on_structs(X0,X5,the_mapping(X5,X0),apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK9(the_carrier(X0)),X1,X2))))
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5)
| empty_carrier(X5) )
| ~ spl27_82
| ~ spl27_230 ),
inference(resolution,[],[f1720,f654]) ).
fof(f5997,plain,
( spl27_569
| ~ spl27_82
| ~ spl27_229 ),
inference(avatar_split_clause,[],[f1744,f1715,f653,f5995]) ).
fof(f5995,plain,
( spl27_569
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sP2(sK8(the_carrier(X0)),X1,X2)
| ~ element(sK15(sK8(the_carrier(X0)),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK8(the_carrier(X0)),X1,X2)),the_carrier(X1))
| empty(the_carrier(X0))
| apply_netmap(X5,X0,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK8(the_carrier(X0)),X1,X2)))) = apply_on_structs(X0,X5,the_mapping(X5,X0),apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK8(the_carrier(X0)),X1,X2))))
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5)
| empty_carrier(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_569])]) ).
fof(f1744,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sP2(sK8(the_carrier(X0)),X1,X2)
| ~ element(sK15(sK8(the_carrier(X0)),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK8(the_carrier(X0)),X1,X2)),the_carrier(X1))
| empty(the_carrier(X0))
| apply_netmap(X5,X0,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK8(the_carrier(X0)),X1,X2)))) = apply_on_structs(X0,X5,the_mapping(X5,X0),apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK8(the_carrier(X0)),X1,X2))))
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5)
| empty_carrier(X5) )
| ~ spl27_82
| ~ spl27_229 ),
inference(resolution,[],[f1716,f654]) ).
fof(f5993,plain,
( spl27_568
| ~ spl27_148
| ~ spl27_193 ),
inference(avatar_split_clause,[],[f1478,f1469,f1085,f5991]) ).
fof(f5991,plain,
( spl27_568
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ element(X0,the_carrier(X1))
| element(apply_netmap(X2,X3,sK14(X4,X3,X5,sK15(apply_netmap(X6,X1,sK13(powerset(X7),X1,X6,X0)),X3,X2))),X7)
| ~ sP0(powerset(X7),X1,X6)
| ~ element(sK14(X4,X3,X5,sK15(apply_netmap(X6,X1,sK13(powerset(X7),X1,X6,X0)),X3,X2)),the_carrier(X3))
| ~ sP2(apply_netmap(X6,X1,sK13(powerset(X7),X1,X6,X0)),X3,X2)
| sP2(X4,X3,X5)
| ~ element(sK15(apply_netmap(X6,X1,sK13(powerset(X7),X1,X6,X0)),X3,X2),the_carrier(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_568])]) ).
fof(f1085,plain,
( spl27_148
<=> ! [X2,X4,X0,X3,X1] :
( in(apply_netmap(X0,X1,sK14(X2,X1,X3,sK15(X4,X1,X0))),X4)
| ~ element(sK14(X2,X1,X3,sK15(X4,X1,X0)),the_carrier(X1))
| ~ sP2(X4,X1,X0)
| sP2(X2,X1,X3)
| ~ element(sK15(X4,X1,X0),the_carrier(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_148])]) ).
fof(f1469,plain,
( spl27_193
<=> ! [X4,X0,X3,X2,X1] :
( ~ sP0(powerset(X0),X1,X2)
| ~ element(X3,the_carrier(X1))
| element(X4,X0)
| ~ in(X4,apply_netmap(X2,X1,sK13(powerset(X0),X1,X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_193])]) ).
fof(f1478,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ element(X0,the_carrier(X1))
| element(apply_netmap(X2,X3,sK14(X4,X3,X5,sK15(apply_netmap(X6,X1,sK13(powerset(X7),X1,X6,X0)),X3,X2))),X7)
| ~ sP0(powerset(X7),X1,X6)
| ~ element(sK14(X4,X3,X5,sK15(apply_netmap(X6,X1,sK13(powerset(X7),X1,X6,X0)),X3,X2)),the_carrier(X3))
| ~ sP2(apply_netmap(X6,X1,sK13(powerset(X7),X1,X6,X0)),X3,X2)
| sP2(X4,X3,X5)
| ~ element(sK15(apply_netmap(X6,X1,sK13(powerset(X7),X1,X6,X0)),X3,X2),the_carrier(X3)) )
| ~ spl27_148
| ~ spl27_193 ),
inference(resolution,[],[f1470,f1086]) ).
fof(f1086,plain,
( ! [X2,X3,X0,X1,X4] :
( in(apply_netmap(X0,X1,sK14(X2,X1,X3,sK15(X4,X1,X0))),X4)
| ~ element(sK14(X2,X1,X3,sK15(X4,X1,X0)),the_carrier(X1))
| ~ sP2(X4,X1,X0)
| sP2(X2,X1,X3)
| ~ element(sK15(X4,X1,X0),the_carrier(X1)) )
| ~ spl27_148 ),
inference(avatar_component_clause,[],[f1085]) ).
fof(f1470,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ in(X4,apply_netmap(X2,X1,sK13(powerset(X0),X1,X2,X3)))
| ~ element(X3,the_carrier(X1))
| element(X4,X0)
| ~ sP0(powerset(X0),X1,X2) )
| ~ spl27_193 ),
inference(avatar_component_clause,[],[f1469]) ).
fof(f5989,plain,
( spl27_567
| ~ spl27_147
| ~ spl27_193 ),
inference(avatar_split_clause,[],[f1477,f1469,f1081,f5987]) ).
fof(f5987,plain,
( spl27_567
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ element(X0,the_carrier(X1))
| element(apply_netmap(X2,X3,sK13(X4,X3,X5,sK15(apply_netmap(X6,X1,sK13(powerset(X7),X1,X6,X0)),X3,X2))),X7)
| ~ sP0(powerset(X7),X1,X6)
| ~ element(sK13(X4,X3,X5,sK15(apply_netmap(X6,X1,sK13(powerset(X7),X1,X6,X0)),X3,X2)),the_carrier(X3))
| ~ sP2(apply_netmap(X6,X1,sK13(powerset(X7),X1,X6,X0)),X3,X2)
| ~ element(sK15(apply_netmap(X6,X1,sK13(powerset(X7),X1,X6,X0)),X3,X2),the_carrier(X3))
| ~ sP0(X4,X3,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_567])]) ).
fof(f1081,plain,
( spl27_147
<=> ! [X2,X4,X0,X3,X1] :
( in(apply_netmap(X0,X1,sK13(X2,X1,X3,sK15(X4,X1,X0))),X4)
| ~ element(sK13(X2,X1,X3,sK15(X4,X1,X0)),the_carrier(X1))
| ~ sP2(X4,X1,X0)
| ~ element(sK15(X4,X1,X0),the_carrier(X1))
| ~ sP0(X2,X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_147])]) ).
fof(f1477,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ element(X0,the_carrier(X1))
| element(apply_netmap(X2,X3,sK13(X4,X3,X5,sK15(apply_netmap(X6,X1,sK13(powerset(X7),X1,X6,X0)),X3,X2))),X7)
| ~ sP0(powerset(X7),X1,X6)
| ~ element(sK13(X4,X3,X5,sK15(apply_netmap(X6,X1,sK13(powerset(X7),X1,X6,X0)),X3,X2)),the_carrier(X3))
| ~ sP2(apply_netmap(X6,X1,sK13(powerset(X7),X1,X6,X0)),X3,X2)
| ~ element(sK15(apply_netmap(X6,X1,sK13(powerset(X7),X1,X6,X0)),X3,X2),the_carrier(X3))
| ~ sP0(X4,X3,X5) )
| ~ spl27_147
| ~ spl27_193 ),
inference(resolution,[],[f1470,f1082]) ).
fof(f1082,plain,
( ! [X2,X3,X0,X1,X4] :
( in(apply_netmap(X0,X1,sK13(X2,X1,X3,sK15(X4,X1,X0))),X4)
| ~ element(sK13(X2,X1,X3,sK15(X4,X1,X0)),the_carrier(X1))
| ~ sP2(X4,X1,X0)
| ~ element(sK15(X4,X1,X0),the_carrier(X1))
| ~ sP0(X2,X1,X3) )
| ~ spl27_147 ),
inference(avatar_component_clause,[],[f1081]) ).
fof(f5979,plain,
( spl27_566
| ~ spl27_83
| ~ spl27_248 ),
inference(avatar_split_clause,[],[f2035,f1996,f664,f5977]) ).
fof(f2035,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,apply_on_structs(X4,X3,X5,X6)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,apply_on_structs(X4,X3,X5,X6))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| ~ element(X6,the_carrier(X4))
| ~ relation_of2(X5,the_carrier(X4),the_carrier(X3))
| ~ quasi_total(X5,the_carrier(X4),the_carrier(X3))
| ~ function(X5)
| ~ one_sorted_str(X3)
| ~ one_sorted_str(X4)
| empty_carrier(X4) )
| ~ spl27_83
| ~ spl27_248 ),
inference(duplicate_literal_removal,[],[f2023]) ).
fof(f2023,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,apply_on_structs(X4,X3,X5,X6)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,apply_on_structs(X4,X3,X5,X6))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| ~ element(X6,the_carrier(X4))
| ~ relation_of2(X5,the_carrier(X4),the_carrier(X3))
| ~ quasi_total(X5,the_carrier(X4),the_carrier(X3))
| ~ function(X5)
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| ~ one_sorted_str(X4)
| empty_carrier(X4) )
| ~ spl27_83
| ~ spl27_248 ),
inference(resolution,[],[f1997,f665]) ).
fof(f5911,plain,
( spl27_565
| ~ spl27_187
| ~ spl27_248 ),
inference(avatar_split_clause,[],[f2012,f1996,f1405,f5909]) ).
fof(f2012,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK13(sK17(powerset(the_carrier(X3))),X5,X4,X6))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK13(sK17(powerset(the_carrier(X3))),X5,X4,X6)))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| ~ element(X6,the_carrier(X5))
| ~ sP0(sK17(powerset(the_carrier(X3))),X5,X4) )
| ~ spl27_187
| ~ spl27_248 ),
inference(resolution,[],[f1997,f1406]) ).
fof(f5907,plain,
( spl27_564
| ~ spl27_190
| ~ spl27_248 ),
inference(avatar_split_clause,[],[f2011,f1996,f1417,f5905]) ).
fof(f2011,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK13(sK10(the_carrier(X3)),X5,X4,X6))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK13(sK10(the_carrier(X3)),X5,X4,X6)))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| empty(the_carrier(X3))
| ~ element(X6,the_carrier(X5))
| ~ sP0(sK10(the_carrier(X3)),X5,X4) )
| ~ spl27_190
| ~ spl27_248 ),
inference(resolution,[],[f1997,f1418]) ).
fof(f5885,plain,
( spl27_563
| ~ spl27_189
| ~ spl27_248 ),
inference(avatar_split_clause,[],[f2010,f1996,f1413,f5883]) ).
fof(f2010,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK13(sK9(the_carrier(X3)),X5,X4,X6))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK13(sK9(the_carrier(X3)),X5,X4,X6)))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| empty(the_carrier(X3))
| ~ element(X6,the_carrier(X5))
| ~ sP0(sK9(the_carrier(X3)),X5,X4) )
| ~ spl27_189
| ~ spl27_248 ),
inference(resolution,[],[f1997,f1414]) ).
fof(f5881,plain,
( spl27_562
| ~ spl27_188
| ~ spl27_248 ),
inference(avatar_split_clause,[],[f2009,f1996,f1409,f5879]) ).
fof(f2009,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK13(sK8(the_carrier(X3)),X5,X4,X6))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK13(sK8(the_carrier(X3)),X5,X4,X6)))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| empty(the_carrier(X3))
| ~ element(X6,the_carrier(X5))
| ~ sP0(sK8(the_carrier(X3)),X5,X4) )
| ~ spl27_188
| ~ spl27_248 ),
inference(resolution,[],[f1997,f1410]) ).
fof(f5877,plain,
( spl27_561
| ~ spl27_83
| ~ spl27_247 ),
inference(avatar_split_clause,[],[f1990,f1917,f664,f5875]) ).
fof(f1990,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,apply_on_structs(X5,X2,X6,X7)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,apply_on_structs(X5,X2,X6,X7))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| ~ element(X7,the_carrier(X5))
| ~ relation_of2(X6,the_carrier(X5),the_carrier(X2))
| ~ quasi_total(X6,the_carrier(X5),the_carrier(X2))
| ~ function(X6)
| ~ one_sorted_str(X2)
| ~ one_sorted_str(X5)
| empty_carrier(X5) )
| ~ spl27_83
| ~ spl27_247 ),
inference(duplicate_literal_removal,[],[f1978]) ).
fof(f1978,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,apply_on_structs(X5,X2,X6,X7)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,apply_on_structs(X5,X2,X6,X7))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| ~ element(X7,the_carrier(X5))
| ~ relation_of2(X6,the_carrier(X5),the_carrier(X2))
| ~ quasi_total(X6,the_carrier(X5),the_carrier(X2))
| ~ function(X6)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| ~ one_sorted_str(X5)
| empty_carrier(X5) )
| ~ spl27_83
| ~ spl27_247 ),
inference(resolution,[],[f1918,f665]) ).
fof(f5873,plain,
( spl27_560
| ~ spl27_83
| ~ spl27_245 ),
inference(avatar_split_clause,[],[f1951,f1909,f664,f5871]) ).
fof(f1951,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,apply_on_structs(X5,X4,X6,X7)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,apply_on_structs(X5,X4,X6,X7))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| ~ element(X7,the_carrier(X5))
| ~ relation_of2(X6,the_carrier(X5),the_carrier(X4))
| ~ quasi_total(X6,the_carrier(X5),the_carrier(X4))
| ~ function(X6)
| ~ one_sorted_str(X4)
| ~ one_sorted_str(X5)
| empty_carrier(X5) )
| ~ spl27_83
| ~ spl27_245 ),
inference(duplicate_literal_removal,[],[f1939]) ).
fof(f1939,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,apply_on_structs(X5,X4,X6,X7)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,apply_on_structs(X5,X4,X6,X7))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| ~ element(X7,the_carrier(X5))
| ~ relation_of2(X6,the_carrier(X5),the_carrier(X4))
| ~ quasi_total(X6,the_carrier(X5),the_carrier(X4))
| ~ function(X6)
| ~ one_sorted_str(X4)
| empty_carrier(X4)
| ~ one_sorted_str(X5)
| empty_carrier(X5) )
| ~ spl27_83
| ~ spl27_245 ),
inference(resolution,[],[f1910,f665]) ).
fof(f5869,plain,
( spl27_559
| ~ spl27_212
| ~ spl27_235 ),
inference(avatar_split_clause,[],[f1805,f1793,f1596,f5867]) ).
fof(f5867,plain,
( spl27_559
<=> ! [X2,X4,X0,X3,X1] :
( ~ element(X0,the_carrier(sK11(X1)))
| apply_netmap(X2,X3,apply_netmap(X4,sK11(X1),sK13(the_carrier(X3),sK11(X1),X4,X0))) = apply_on_structs(X3,X2,the_mapping(X2,X3),apply_netmap(X4,sK11(X1),sK13(the_carrier(X3),sK11(X1),X4,X0)))
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| empty_carrier(sK11(X1))
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,sK11(X1),sK12(the_carrier(X3),sK11(X1),X4)) = apply_on_structs(sK11(X1),X1,the_mapping(X1,sK11(X1)),sK12(the_carrier(X3),sK11(X1),X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_559])]) ).
fof(f1805,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ element(X0,the_carrier(sK11(X1)))
| apply_netmap(X2,X3,apply_netmap(X4,sK11(X1),sK13(the_carrier(X3),sK11(X1),X4,X0))) = apply_on_structs(X3,X2,the_mapping(X2,X3),apply_netmap(X4,sK11(X1),sK13(the_carrier(X3),sK11(X1),X4,X0)))
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| empty_carrier(sK11(X1))
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,sK11(X1),sK12(the_carrier(X3),sK11(X1),X4)) = apply_on_structs(sK11(X1),X1,the_mapping(X1,sK11(X1)),sK12(the_carrier(X3),sK11(X1),X4)) )
| ~ spl27_212
| ~ spl27_235 ),
inference(resolution,[],[f1794,f1597]) ).
fof(f5845,plain,
( spl27_558
| ~ spl27_91
| ~ spl27_547 ),
inference(avatar_split_clause,[],[f5795,f5756,f709,f5842]) ).
fof(f5795,plain,
( sK24 = sK17(powerset(sK6))
| ~ spl27_91
| ~ spl27_547 ),
inference(resolution,[],[f5758,f710]) ).
fof(f5823,plain,
( spl27_557
| ~ spl27_187
| ~ spl27_247 ),
inference(avatar_split_clause,[],[f1967,f1917,f1405,f5821]) ).
fof(f1967,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK13(sK17(powerset(the_carrier(X2))),X6,X5,X7))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK13(sK17(powerset(the_carrier(X2))),X6,X5,X7)))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| ~ element(X7,the_carrier(X6))
| ~ sP0(sK17(powerset(the_carrier(X2))),X6,X5) )
| ~ spl27_187
| ~ spl27_247 ),
inference(resolution,[],[f1918,f1406]) ).
fof(f5819,plain,
( spl27_556
| ~ spl27_190
| ~ spl27_247 ),
inference(avatar_split_clause,[],[f1966,f1917,f1417,f5817]) ).
fof(f1966,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK13(sK10(the_carrier(X2)),X6,X5,X7))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK13(sK10(the_carrier(X2)),X6,X5,X7)))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| empty(the_carrier(X2))
| ~ element(X7,the_carrier(X6))
| ~ sP0(sK10(the_carrier(X2)),X6,X5) )
| ~ spl27_190
| ~ spl27_247 ),
inference(resolution,[],[f1918,f1418]) ).
fof(f5815,plain,
( spl27_555
| ~ spl27_189
| ~ spl27_247 ),
inference(avatar_split_clause,[],[f1965,f1917,f1413,f5813]) ).
fof(f1965,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK13(sK9(the_carrier(X2)),X6,X5,X7))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK13(sK9(the_carrier(X2)),X6,X5,X7)))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| empty(the_carrier(X2))
| ~ element(X7,the_carrier(X6))
| ~ sP0(sK9(the_carrier(X2)),X6,X5) )
| ~ spl27_189
| ~ spl27_247 ),
inference(resolution,[],[f1918,f1414]) ).
fof(f5811,plain,
( spl27_554
| ~ spl27_188
| ~ spl27_247 ),
inference(avatar_split_clause,[],[f1964,f1917,f1409,f5809]) ).
fof(f1964,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK13(sK8(the_carrier(X2)),X6,X5,X7))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK13(sK8(the_carrier(X2)),X6,X5,X7)))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| empty(the_carrier(X2))
| ~ element(X7,the_carrier(X6))
| ~ sP0(sK8(the_carrier(X2)),X6,X5) )
| ~ spl27_188
| ~ spl27_247 ),
inference(resolution,[],[f1918,f1410]) ).
fof(f5807,plain,
( spl27_553
| ~ spl27_187
| ~ spl27_245 ),
inference(avatar_split_clause,[],[f1928,f1909,f1405,f5805]) ).
fof(f1928,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK13(sK17(powerset(the_carrier(X4))),X6,X5,X7))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK13(sK17(powerset(the_carrier(X4))),X6,X5,X7)))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| ~ element(X7,the_carrier(X6))
| ~ sP0(sK17(powerset(the_carrier(X4))),X6,X5) )
| ~ spl27_187
| ~ spl27_245 ),
inference(resolution,[],[f1910,f1406]) ).
fof(f5803,plain,
( spl27_552
| ~ spl27_190
| ~ spl27_245 ),
inference(avatar_split_clause,[],[f1927,f1909,f1417,f5801]) ).
fof(f1927,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK13(sK10(the_carrier(X4)),X6,X5,X7))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK13(sK10(the_carrier(X4)),X6,X5,X7)))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| empty(the_carrier(X4))
| ~ element(X7,the_carrier(X6))
| ~ sP0(sK10(the_carrier(X4)),X6,X5) )
| ~ spl27_190
| ~ spl27_245 ),
inference(resolution,[],[f1910,f1418]) ).
fof(f5791,plain,
( spl27_551
| ~ spl27_189
| ~ spl27_245 ),
inference(avatar_split_clause,[],[f1926,f1909,f1413,f5789]) ).
fof(f1926,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK13(sK9(the_carrier(X4)),X6,X5,X7))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK13(sK9(the_carrier(X4)),X6,X5,X7)))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| empty(the_carrier(X4))
| ~ element(X7,the_carrier(X6))
| ~ sP0(sK9(the_carrier(X4)),X6,X5) )
| ~ spl27_189
| ~ spl27_245 ),
inference(resolution,[],[f1910,f1414]) ).
fof(f5787,plain,
( spl27_550
| ~ spl27_188
| ~ spl27_245 ),
inference(avatar_split_clause,[],[f1925,f1909,f1409,f5785]) ).
fof(f1925,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK13(sK8(the_carrier(X4)),X6,X5,X7))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK13(sK8(the_carrier(X4)),X6,X5,X7)))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| empty(the_carrier(X4))
| ~ element(X7,the_carrier(X6))
| ~ sP0(sK8(the_carrier(X4)),X6,X5) )
| ~ spl27_188
| ~ spl27_245 ),
inference(resolution,[],[f1910,f1410]) ).
fof(f5783,plain,
( spl27_549
| ~ spl27_83
| ~ spl27_244 ),
inference(avatar_split_clause,[],[f1903,f1866,f664,f5781]) ).
fof(f1903,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,apply_on_structs(X6,X0,X7,X8)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,apply_on_structs(X6,X0,X7,X8))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| ~ element(X8,the_carrier(X6))
| ~ relation_of2(X7,the_carrier(X6),the_carrier(X0))
| ~ quasi_total(X7,the_carrier(X6),the_carrier(X0))
| ~ function(X7)
| ~ one_sorted_str(X0)
| ~ one_sorted_str(X6)
| empty_carrier(X6) )
| ~ spl27_83
| ~ spl27_244 ),
inference(duplicate_literal_removal,[],[f1891]) ).
fof(f1891,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,apply_on_structs(X6,X0,X7,X8)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,apply_on_structs(X6,X0,X7,X8))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| ~ element(X8,the_carrier(X6))
| ~ relation_of2(X7,the_carrier(X6),the_carrier(X0))
| ~ quasi_total(X7,the_carrier(X6),the_carrier(X0))
| ~ function(X7)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ one_sorted_str(X6)
| empty_carrier(X6) )
| ~ spl27_83
| ~ spl27_244 ),
inference(resolution,[],[f1867,f665]) ).
fof(f5763,plain,
( spl27_548
| ~ spl27_96
| ~ spl27_258 ),
inference(avatar_split_clause,[],[f2091,f2086,f764,f5761]) ).
fof(f5761,plain,
( spl27_548
<=> ! [X2,X4,X0,X3,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_on_structs(X3,X2,sK20(the_carrier(X3),the_carrier(X2)),X4))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_on_structs(X3,X2,sK20(the_carrier(X3),the_carrier(X2)),X4)))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ element(X4,the_carrier(X3))
| ~ net_str(X0,X1)
| ~ quasi_total(sK20(the_carrier(X3),the_carrier(X2)),the_carrier(X3),the_carrier(X2))
| ~ function(sK20(the_carrier(X3),the_carrier(X2)))
| ~ one_sorted_str(X2)
| ~ one_sorted_str(X3)
| empty_carrier(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_548])]) ).
fof(f764,plain,
( spl27_96
<=> ! [X0,X1] : relation_of2(sK20(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_96])]) ).
fof(f2091,plain,
( ! [X2,X3,X0,X1,X4] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_on_structs(X3,X2,sK20(the_carrier(X3),the_carrier(X2)),X4))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_on_structs(X3,X2,sK20(the_carrier(X3),the_carrier(X2)),X4)))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ element(X4,the_carrier(X3))
| ~ net_str(X0,X1)
| ~ quasi_total(sK20(the_carrier(X3),the_carrier(X2)),the_carrier(X3),the_carrier(X2))
| ~ function(sK20(the_carrier(X3),the_carrier(X2)))
| ~ one_sorted_str(X2)
| ~ one_sorted_str(X3)
| empty_carrier(X3) )
| ~ spl27_96
| ~ spl27_258 ),
inference(resolution,[],[f2087,f765]) ).
fof(f765,plain,
( ! [X0,X1] : relation_of2(sK20(X0,X1),X0,X1)
| ~ spl27_96 ),
inference(avatar_component_clause,[],[f764]) ).
fof(f5759,plain,
( spl27_546
| spl27_547
| spl27_142
| ~ spl27_135
| ~ spl27_305 ),
inference(avatar_split_clause,[],[f2548,f2532,f999,f1037,f5756,f5752]) ).
fof(f2548,plain,
( empty(sK6)
| empty(sK17(powerset(sK6)))
| element(sK17(sK17(powerset(sK6))),sK7)
| ~ spl27_135
| ~ spl27_305 ),
inference(resolution,[],[f2533,f1000]) ).
fof(f5750,plain,
( spl27_545
| ~ spl27_37
| ~ spl27_258 ),
inference(avatar_split_clause,[],[f2090,f2086,f404,f5748]) ).
fof(f5748,plain,
( spl27_545
<=> ! [X2,X4,X0,X3,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_on_structs(X3,X2,sK19(the_carrier(X3),the_carrier(X2)),X4))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_on_structs(X3,X2,sK19(the_carrier(X3),the_carrier(X2)),X4)))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ element(X4,the_carrier(X3))
| ~ net_str(X0,X1)
| ~ quasi_total(sK19(the_carrier(X3),the_carrier(X2)),the_carrier(X3),the_carrier(X2))
| ~ function(sK19(the_carrier(X3),the_carrier(X2)))
| ~ one_sorted_str(X2)
| ~ one_sorted_str(X3)
| empty_carrier(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_545])]) ).
fof(f404,plain,
( spl27_37
<=> ! [X0,X1] : relation_of2(sK19(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_37])]) ).
fof(f2090,plain,
( ! [X2,X3,X0,X1,X4] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_on_structs(X3,X2,sK19(the_carrier(X3),the_carrier(X2)),X4))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_on_structs(X3,X2,sK19(the_carrier(X3),the_carrier(X2)),X4)))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ element(X4,the_carrier(X3))
| ~ net_str(X0,X1)
| ~ quasi_total(sK19(the_carrier(X3),the_carrier(X2)),the_carrier(X3),the_carrier(X2))
| ~ function(sK19(the_carrier(X3),the_carrier(X2)))
| ~ one_sorted_str(X2)
| ~ one_sorted_str(X3)
| empty_carrier(X3) )
| ~ spl27_37
| ~ spl27_258 ),
inference(resolution,[],[f2087,f405]) ).
fof(f405,plain,
( ! [X0,X1] : relation_of2(sK19(X0,X1),X0,X1)
| ~ spl27_37 ),
inference(avatar_component_clause,[],[f404]) ).
fof(f5746,plain,
( spl27_544
| ~ spl27_187
| ~ spl27_244 ),
inference(avatar_split_clause,[],[f1880,f1866,f1405,f5744]) ).
fof(f1880,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK13(sK17(powerset(the_carrier(X0))),X7,X6,X8))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK13(sK17(powerset(the_carrier(X0))),X7,X6,X8)))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| ~ element(X8,the_carrier(X7))
| ~ sP0(sK17(powerset(the_carrier(X0))),X7,X6) )
| ~ spl27_187
| ~ spl27_244 ),
inference(resolution,[],[f1867,f1406]) ).
fof(f5742,plain,
( spl27_543
| ~ spl27_190
| ~ spl27_244 ),
inference(avatar_split_clause,[],[f1879,f1866,f1417,f5740]) ).
fof(f1879,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK13(sK10(the_carrier(X0)),X7,X6,X8))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK13(sK10(the_carrier(X0)),X7,X6,X8)))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| empty(the_carrier(X0))
| ~ element(X8,the_carrier(X7))
| ~ sP0(sK10(the_carrier(X0)),X7,X6) )
| ~ spl27_190
| ~ spl27_244 ),
inference(resolution,[],[f1867,f1418]) ).
fof(f5738,plain,
( spl27_542
| ~ spl27_189
| ~ spl27_244 ),
inference(avatar_split_clause,[],[f1878,f1866,f1413,f5736]) ).
fof(f1878,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK13(sK9(the_carrier(X0)),X7,X6,X8))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK13(sK9(the_carrier(X0)),X7,X6,X8)))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| empty(the_carrier(X0))
| ~ element(X8,the_carrier(X7))
| ~ sP0(sK9(the_carrier(X0)),X7,X6) )
| ~ spl27_189
| ~ spl27_244 ),
inference(resolution,[],[f1867,f1414]) ).
fof(f5734,plain,
( spl27_541
| ~ spl27_188
| ~ spl27_244 ),
inference(avatar_split_clause,[],[f1877,f1866,f1409,f5732]) ).
fof(f1877,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK13(sK8(the_carrier(X0)),X7,X6,X8))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK13(sK8(the_carrier(X0)),X7,X6,X8)))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| empty(the_carrier(X0))
| ~ element(X8,the_carrier(X7))
| ~ sP0(sK8(the_carrier(X0)),X7,X6) )
| ~ spl27_188
| ~ spl27_244 ),
inference(resolution,[],[f1867,f1410]) ).
fof(f5730,plain,
( spl27_540
| ~ spl27_96
| ~ spl27_257 ),
inference(avatar_split_clause,[],[f2083,f2078,f764,f5728]) ).
fof(f5728,plain,
( spl27_540
<=> ! [X5,X4,X0,X3,X2,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_on_structs(X4,X0,sK20(the_carrier(X4),the_carrier(X0)),X5))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_on_structs(X4,X0,sK20(the_carrier(X4),the_carrier(X0)),X5)))
| ~ element(X5,the_carrier(X4))
| ~ net_str(X0,X1)
| ~ quasi_total(sK20(the_carrier(X4),the_carrier(X0)),the_carrier(X4),the_carrier(X0))
| ~ function(sK20(the_carrier(X4),the_carrier(X0)))
| ~ one_sorted_str(X0)
| ~ one_sorted_str(X4)
| empty_carrier(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_540])]) ).
fof(f2083,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_on_structs(X4,X0,sK20(the_carrier(X4),the_carrier(X0)),X5))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_on_structs(X4,X0,sK20(the_carrier(X4),the_carrier(X0)),X5)))
| ~ element(X5,the_carrier(X4))
| ~ net_str(X0,X1)
| ~ quasi_total(sK20(the_carrier(X4),the_carrier(X0)),the_carrier(X4),the_carrier(X0))
| ~ function(sK20(the_carrier(X4),the_carrier(X0)))
| ~ one_sorted_str(X0)
| ~ one_sorted_str(X4)
| empty_carrier(X4) )
| ~ spl27_96
| ~ spl27_257 ),
inference(resolution,[],[f2079,f765]) ).
fof(f5726,plain,
( spl27_539
| ~ spl27_37
| ~ spl27_257 ),
inference(avatar_split_clause,[],[f2082,f2078,f404,f5724]) ).
fof(f5724,plain,
( spl27_539
<=> ! [X5,X4,X0,X3,X2,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_on_structs(X4,X0,sK19(the_carrier(X4),the_carrier(X0)),X5))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_on_structs(X4,X0,sK19(the_carrier(X4),the_carrier(X0)),X5)))
| ~ element(X5,the_carrier(X4))
| ~ net_str(X0,X1)
| ~ quasi_total(sK19(the_carrier(X4),the_carrier(X0)),the_carrier(X4),the_carrier(X0))
| ~ function(sK19(the_carrier(X4),the_carrier(X0)))
| ~ one_sorted_str(X0)
| ~ one_sorted_str(X4)
| empty_carrier(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_539])]) ).
fof(f2082,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_on_structs(X4,X0,sK19(the_carrier(X4),the_carrier(X0)),X5))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_on_structs(X4,X0,sK19(the_carrier(X4),the_carrier(X0)),X5)))
| ~ element(X5,the_carrier(X4))
| ~ net_str(X0,X1)
| ~ quasi_total(sK19(the_carrier(X4),the_carrier(X0)),the_carrier(X4),the_carrier(X0))
| ~ function(sK19(the_carrier(X4),the_carrier(X0)))
| ~ one_sorted_str(X0)
| ~ one_sorted_str(X4)
| empty_carrier(X4) )
| ~ spl27_37
| ~ spl27_257 ),
inference(resolution,[],[f2079,f405]) ).
fof(f5714,plain,
( spl27_538
| ~ spl27_195
| ~ spl27_248 ),
inference(avatar_split_clause,[],[f2038,f1996,f1481,f5712]) ).
fof(f2038,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK13(sK16(X3),X5,X4,X6))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK13(sK16(X3),X5,X4,X6)))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| ~ one_sorted_str(X3)
| ~ element(X6,the_carrier(X5))
| ~ sP0(sK16(X3),X5,X4) )
| ~ spl27_195
| ~ spl27_248 ),
inference(duplicate_literal_removal,[],[f2005]) ).
fof(f2005,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK13(sK16(X3),X5,X4,X6))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK13(sK16(X3),X5,X4,X6)))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| ~ element(X6,the_carrier(X5))
| ~ sP0(sK16(X3),X5,X4) )
| ~ spl27_195
| ~ spl27_248 ),
inference(resolution,[],[f1997,f1482]) ).
fof(f5710,plain,
( spl27_537
| ~ spl27_82
| ~ spl27_242 ),
inference(avatar_split_clause,[],[f1855,f1839,f653,f5708]) ).
fof(f5708,plain,
( spl27_537
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sP2(sK16(X0),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK16(X0),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK16(X0),X1,X2)),the_carrier(X1))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X5,X0,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK16(X0),X1,X2)))) = apply_on_structs(X0,X5,the_mapping(X5,X0),apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK16(X0),X1,X2))))
| ~ net_str(X0,X5)
| ~ one_sorted_str(X5)
| empty_carrier(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_537])]) ).
fof(f1855,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sP2(sK16(X0),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK16(X0),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK16(X0),X1,X2)),the_carrier(X1))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X5,X0,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK16(X0),X1,X2)))) = apply_on_structs(X0,X5,the_mapping(X5,X0),apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK16(X0),X1,X2))))
| ~ net_str(X0,X5)
| ~ one_sorted_str(X5)
| empty_carrier(X5) )
| ~ spl27_82
| ~ spl27_242 ),
inference(duplicate_literal_removal,[],[f1852]) ).
fof(f1852,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sP2(sK16(X0),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK16(X0),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK16(X0),X1,X2)),the_carrier(X1))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X5,X0,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK16(X0),X1,X2)))) = apply_on_structs(X0,X5,the_mapping(X5,X0),apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK16(X0),X1,X2))))
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5)
| empty_carrier(X5) )
| ~ spl27_82
| ~ spl27_242 ),
inference(resolution,[],[f1840,f654]) ).
fof(f5706,plain,
( spl27_536
| ~ spl27_82
| ~ spl27_241 ),
inference(avatar_split_clause,[],[f1847,f1835,f653,f5704]) ).
fof(f5704,plain,
( spl27_536
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sP2(sK16(X0),X1,X2)
| ~ element(sK15(sK16(X0),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK16(X0),X1,X2)),the_carrier(X1))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X5,X0,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK16(X0),X1,X2)))) = apply_on_structs(X0,X5,the_mapping(X5,X0),apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK16(X0),X1,X2))))
| ~ net_str(X0,X5)
| ~ one_sorted_str(X5)
| empty_carrier(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_536])]) ).
fof(f1847,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sP2(sK16(X0),X1,X2)
| ~ element(sK15(sK16(X0),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK16(X0),X1,X2)),the_carrier(X1))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X5,X0,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK16(X0),X1,X2)))) = apply_on_structs(X0,X5,the_mapping(X5,X0),apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK16(X0),X1,X2))))
| ~ net_str(X0,X5)
| ~ one_sorted_str(X5)
| empty_carrier(X5) )
| ~ spl27_82
| ~ spl27_241 ),
inference(duplicate_literal_removal,[],[f1844]) ).
fof(f1844,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sP2(sK16(X0),X1,X2)
| ~ element(sK15(sK16(X0),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK16(X0),X1,X2)),the_carrier(X1))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X5,X0,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK16(X0),X1,X2)))) = apply_on_structs(X0,X5,the_mapping(X5,X0),apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK16(X0),X1,X2))))
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5)
| empty_carrier(X5) )
| ~ spl27_82
| ~ spl27_241 ),
inference(resolution,[],[f1836,f654]) ).
fof(f5694,plain,
( spl27_535
| ~ spl27_195
| ~ spl27_247 ),
inference(avatar_split_clause,[],[f1993,f1917,f1481,f5692]) ).
fof(f1993,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK13(sK16(X2),X6,X5,X7))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK13(sK16(X2),X6,X5,X7)))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| ~ one_sorted_str(X2)
| ~ element(X7,the_carrier(X6))
| ~ sP0(sK16(X2),X6,X5) )
| ~ spl27_195
| ~ spl27_247 ),
inference(duplicate_literal_removal,[],[f1960]) ).
fof(f1960,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK13(sK16(X2),X6,X5,X7))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK13(sK16(X2),X6,X5,X7)))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| ~ element(X7,the_carrier(X6))
| ~ sP0(sK16(X2),X6,X5) )
| ~ spl27_195
| ~ spl27_247 ),
inference(resolution,[],[f1918,f1482]) ).
fof(f5690,plain,
( spl27_534
| ~ spl27_195
| ~ spl27_245 ),
inference(avatar_split_clause,[],[f1954,f1909,f1481,f5688]) ).
fof(f1954,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK13(sK16(X4),X6,X5,X7))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK13(sK16(X4),X6,X5,X7)))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| ~ one_sorted_str(X4)
| ~ element(X7,the_carrier(X6))
| ~ sP0(sK16(X4),X6,X5) )
| ~ spl27_195
| ~ spl27_245 ),
inference(duplicate_literal_removal,[],[f1921]) ).
fof(f1921,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK13(sK16(X4),X6,X5,X7))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK13(sK16(X4),X6,X5,X7)))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| ~ one_sorted_str(X4)
| empty_carrier(X4)
| ~ element(X7,the_carrier(X6))
| ~ sP0(sK16(X4),X6,X5) )
| ~ spl27_195
| ~ spl27_245 ),
inference(resolution,[],[f1910,f1482]) ).
fof(f5682,plain,
( spl27_532
| ~ spl27_533
| ~ spl27_118
| ~ spl27_335 ),
inference(avatar_split_clause,[],[f3032,f2928,f896,f5679,f5676]) ).
fof(f5676,plain,
( spl27_532
<=> ! [X0] : ~ in(X0,the_mapping(sK4,sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_532])]) ).
fof(f896,plain,
( spl27_118
<=> ! [X2,X0,X1,X3] :
( ~ relation_of2_as_subset(X0,X1,X2)
| ~ empty(cartesian_product2(X1,X2))
| ~ in(X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_118])]) ).
fof(f3032,plain,
( ! [X0] :
( ~ empty(cartesian_product2(the_carrier(sK5),the_carrier(sK4)))
| ~ in(X0,the_mapping(sK4,sK5)) )
| ~ spl27_118
| ~ spl27_335 ),
inference(resolution,[],[f2930,f897]) ).
fof(f897,plain,
( ! [X2,X3,X0,X1] :
( ~ relation_of2_as_subset(X0,X1,X2)
| ~ empty(cartesian_product2(X1,X2))
| ~ in(X3,X0) )
| ~ spl27_118 ),
inference(avatar_component_clause,[],[f896]) ).
fof(f5666,plain,
( spl27_531
| ~ spl27_130
| ~ spl27_248 ),
inference(avatar_split_clause,[],[f2008,f1996,f968,f5664]) ).
fof(f2008,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK13(the_carrier(X3),X5,X4,X6))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X4,X5,sK13(the_carrier(X3),X5,X4,X6)))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| ~ sP0(the_carrier(X3),X5,X4)
| ~ element(X6,the_carrier(X5)) )
| ~ spl27_130
| ~ spl27_248 ),
inference(resolution,[],[f1997,f969]) ).
fof(f5662,plain,
( spl27_530
| ~ spl27_195
| ~ spl27_244 ),
inference(avatar_split_clause,[],[f1906,f1866,f1481,f5660]) ).
fof(f1906,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK13(sK16(X0),X7,X6,X8))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK13(sK16(X0),X7,X6,X8)))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| ~ one_sorted_str(X0)
| ~ element(X8,the_carrier(X7))
| ~ sP0(sK16(X0),X7,X6) )
| ~ spl27_195
| ~ spl27_244 ),
inference(duplicate_literal_removal,[],[f1873]) ).
fof(f1873,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK13(sK16(X0),X7,X6,X8))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK13(sK16(X0),X7,X6,X8)))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ element(X8,the_carrier(X7))
| ~ sP0(sK16(X0),X7,X6) )
| ~ spl27_195
| ~ spl27_244 ),
inference(resolution,[],[f1867,f1482]) ).
fof(f5658,plain,
( spl27_529
| ~ spl27_82
| ~ spl27_218 ),
inference(avatar_split_clause,[],[f1657,f1636,f653,f5656]) ).
fof(f5656,plain,
( spl27_529
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sP2(the_carrier(X0),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(the_carrier(X0),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(the_carrier(X0),X1,X2)),the_carrier(X1))
| apply_netmap(X5,X0,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(the_carrier(X0),X1,X2)))) = apply_on_structs(X0,X5,the_mapping(X5,X0),apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(the_carrier(X0),X1,X2))))
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5)
| empty_carrier(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_529])]) ).
fof(f1657,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sP2(the_carrier(X0),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(the_carrier(X0),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(the_carrier(X0),X1,X2)),the_carrier(X1))
| apply_netmap(X5,X0,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(the_carrier(X0),X1,X2)))) = apply_on_structs(X0,X5,the_mapping(X5,X0),apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(the_carrier(X0),X1,X2))))
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5)
| empty_carrier(X5) )
| ~ spl27_82
| ~ spl27_218 ),
inference(resolution,[],[f1637,f654]) ).
fof(f5654,plain,
( spl27_528
| ~ spl27_82
| ~ spl27_216 ),
inference(avatar_split_clause,[],[f1649,f1625,f653,f5652]) ).
fof(f5652,plain,
( spl27_528
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sP2(the_carrier(X0),X1,X2)
| ~ element(sK15(the_carrier(X0),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(the_carrier(X0),X1,X2)),the_carrier(X1))
| apply_netmap(X5,X0,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(the_carrier(X0),X1,X2)))) = apply_on_structs(X0,X5,the_mapping(X5,X0),apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(the_carrier(X0),X1,X2))))
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5)
| empty_carrier(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_528])]) ).
fof(f1649,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sP2(the_carrier(X0),X1,X2)
| ~ element(sK15(the_carrier(X0),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(the_carrier(X0),X1,X2)),the_carrier(X1))
| apply_netmap(X5,X0,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(the_carrier(X0),X1,X2)))) = apply_on_structs(X0,X5,the_mapping(X5,X0),apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(the_carrier(X0),X1,X2))))
| ~ net_str(X0,X5)
| empty_carrier(X0)
| ~ one_sorted_str(X5)
| empty_carrier(X5) )
| ~ spl27_82
| ~ spl27_216 ),
inference(resolution,[],[f1626,f654]) ).
fof(f5639,plain,
( spl27_527
| ~ spl27_125
| ~ spl27_258 ),
inference(avatar_split_clause,[],[f2092,f2086,f932,f5637]) ).
fof(f5637,plain,
( spl27_527
<=> ! [X2,X4,X0,X3,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_on_structs(X3,X2,the_mapping(X2,X3),X4))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_on_structs(X3,X2,the_mapping(X2,X3),X4)))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ element(X4,the_carrier(X3))
| ~ net_str(X0,X1)
| ~ quasi_total(the_mapping(X2,X3),the_carrier(X3),the_carrier(X2))
| ~ function(the_mapping(X2,X3))
| ~ one_sorted_str(X2)
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| ~ net_str(X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_527])]) ).
fof(f932,plain,
( spl27_125
<=> ! [X0,X1] :
( ~ net_str(X0,X1)
| ~ one_sorted_str(X1)
| relation_of2(the_mapping(X1,X0),the_carrier(X0),the_carrier(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_125])]) ).
fof(f2092,plain,
( ! [X2,X3,X0,X1,X4] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_on_structs(X3,X2,the_mapping(X2,X3),X4))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_on_structs(X3,X2,the_mapping(X2,X3),X4)))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ element(X4,the_carrier(X3))
| ~ net_str(X0,X1)
| ~ quasi_total(the_mapping(X2,X3),the_carrier(X3),the_carrier(X2))
| ~ function(the_mapping(X2,X3))
| ~ one_sorted_str(X2)
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| ~ net_str(X3,X2) )
| ~ spl27_125
| ~ spl27_258 ),
inference(duplicate_literal_removal,[],[f2089]) ).
fof(f2089,plain,
( ! [X2,X3,X0,X1,X4] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_on_structs(X3,X2,the_mapping(X2,X3),X4))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_on_structs(X3,X2,the_mapping(X2,X3),X4)))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ element(X4,the_carrier(X3))
| ~ net_str(X0,X1)
| ~ quasi_total(the_mapping(X2,X3),the_carrier(X3),the_carrier(X2))
| ~ function(the_mapping(X2,X3))
| ~ one_sorted_str(X2)
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| ~ net_str(X3,X2) )
| ~ spl27_125
| ~ spl27_258 ),
inference(resolution,[],[f2087,f933]) ).
fof(f933,plain,
( ! [X0,X1] :
( relation_of2(the_mapping(X1,X0),the_carrier(X0),the_carrier(X1))
| ~ one_sorted_str(X1)
| ~ net_str(X0,X1) )
| ~ spl27_125 ),
inference(avatar_component_clause,[],[f932]) ).
fof(f5635,plain,
( spl27_526
| ~ spl27_130
| ~ spl27_247 ),
inference(avatar_split_clause,[],[f1963,f1917,f968,f5633]) ).
fof(f1963,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK13(the_carrier(X2),X6,X5,X7))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X5,X6,sK13(the_carrier(X2),X6,X5,X7)))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| ~ sP0(the_carrier(X2),X6,X5)
| ~ element(X7,the_carrier(X6)) )
| ~ spl27_130
| ~ spl27_247 ),
inference(resolution,[],[f1918,f969]) ).
fof(f5631,plain,
( spl27_525
| ~ spl27_130
| ~ spl27_245 ),
inference(avatar_split_clause,[],[f1924,f1909,f968,f5629]) ).
fof(f1924,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK13(the_carrier(X4),X6,X5,X7))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X5,X6,sK13(the_carrier(X4),X6,X5,X7)))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| ~ sP0(the_carrier(X4),X6,X5)
| ~ element(X7,the_carrier(X6)) )
| ~ spl27_130
| ~ spl27_245 ),
inference(resolution,[],[f1910,f969]) ).
fof(f5620,plain,
( spl27_524
| ~ spl27_125
| ~ spl27_257 ),
inference(avatar_split_clause,[],[f2084,f2078,f932,f5618]) ).
fof(f5618,plain,
( spl27_524
<=> ! [X5,X4,X0,X3,X2,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_on_structs(X4,X0,the_mapping(X0,X4),X5))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_on_structs(X4,X0,the_mapping(X0,X4),X5)))
| ~ element(X5,the_carrier(X4))
| ~ net_str(X0,X1)
| ~ quasi_total(the_mapping(X0,X4),the_carrier(X4),the_carrier(X0))
| ~ function(the_mapping(X0,X4))
| ~ one_sorted_str(X0)
| ~ one_sorted_str(X4)
| empty_carrier(X4)
| ~ net_str(X4,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_524])]) ).
fof(f2084,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_on_structs(X4,X0,the_mapping(X0,X4),X5))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_on_structs(X4,X0,the_mapping(X0,X4),X5)))
| ~ element(X5,the_carrier(X4))
| ~ net_str(X0,X1)
| ~ quasi_total(the_mapping(X0,X4),the_carrier(X4),the_carrier(X0))
| ~ function(the_mapping(X0,X4))
| ~ one_sorted_str(X0)
| ~ one_sorted_str(X4)
| empty_carrier(X4)
| ~ net_str(X4,X0) )
| ~ spl27_125
| ~ spl27_257 ),
inference(duplicate_literal_removal,[],[f2081]) ).
fof(f2081,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_on_structs(X4,X0,the_mapping(X0,X4),X5))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_on_structs(X4,X0,the_mapping(X0,X4),X5)))
| ~ element(X5,the_carrier(X4))
| ~ net_str(X0,X1)
| ~ quasi_total(the_mapping(X0,X4),the_carrier(X4),the_carrier(X0))
| ~ function(the_mapping(X0,X4))
| ~ one_sorted_str(X0)
| ~ one_sorted_str(X4)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| ~ net_str(X4,X0) )
| ~ spl27_125
| ~ spl27_257 ),
inference(resolution,[],[f2079,f933]) ).
fof(f5616,plain,
( spl27_523
| ~ spl27_130
| ~ spl27_244 ),
inference(avatar_split_clause,[],[f1876,f1866,f968,f5614]) ).
fof(f1876,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK13(the_carrier(X0),X7,X6,X8))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X6,X7,sK13(the_carrier(X0),X7,X6,X8)))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| ~ sP0(the_carrier(X0),X7,X6)
| ~ element(X8,the_carrier(X7)) )
| ~ spl27_130
| ~ spl27_244 ),
inference(resolution,[],[f1867,f969]) ).
fof(f5574,plain,
( spl27_522
| ~ spl27_139
| ~ spl27_212 ),
inference(avatar_split_clause,[],[f1604,f1596,f1025,f5572]) ).
fof(f5572,plain,
( spl27_522
<=> ! [X4,X0,X3,X2,X1] :
( empty_carrier(sK11(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,sK11(X0),sK12(X1,sK11(X0),X2)) = apply_on_structs(sK11(X0),X0,the_mapping(X0,sK11(X0)),sK12(X1,sK11(X0),X2))
| ~ net_str(sK11(X0),X3)
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| ~ element(X4,the_carrier(sK11(X0)))
| apply_netmap(X3,sK11(X0),sK13(X1,sK11(X0),X2,X4)) = apply_on_structs(sK11(X0),X3,the_mapping(X3,sK11(X0)),sK13(X1,sK11(X0),X2,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_522])]) ).
fof(f1604,plain,
( ! [X2,X3,X0,X1,X4] :
( empty_carrier(sK11(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,sK11(X0),sK12(X1,sK11(X0),X2)) = apply_on_structs(sK11(X0),X0,the_mapping(X0,sK11(X0)),sK12(X1,sK11(X0),X2))
| ~ net_str(sK11(X0),X3)
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| ~ element(X4,the_carrier(sK11(X0)))
| apply_netmap(X3,sK11(X0),sK13(X1,sK11(X0),X2,X4)) = apply_on_structs(sK11(X0),X3,the_mapping(X3,sK11(X0)),sK13(X1,sK11(X0),X2,X4)) )
| ~ spl27_139
| ~ spl27_212 ),
inference(duplicate_literal_removal,[],[f1599]) ).
fof(f1599,plain,
( ! [X2,X3,X0,X1,X4] :
( empty_carrier(sK11(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,sK11(X0),sK12(X1,sK11(X0),X2)) = apply_on_structs(sK11(X0),X0,the_mapping(X0,sK11(X0)),sK12(X1,sK11(X0),X2))
| ~ net_str(sK11(X0),X3)
| empty_carrier(sK11(X0))
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| ~ element(X4,the_carrier(sK11(X0)))
| apply_netmap(X3,sK11(X0),sK13(X1,sK11(X0),X2,X4)) = apply_on_structs(sK11(X0),X3,the_mapping(X3,sK11(X0)),sK13(X1,sK11(X0),X2,X4)) )
| ~ spl27_139
| ~ spl27_212 ),
inference(resolution,[],[f1597,f1026]) ).
fof(f5554,plain,
( spl27_521
| ~ spl27_144
| ~ spl27_190 ),
inference(avatar_split_clause,[],[f1454,f1417,f1059,f5552]) ).
fof(f1454,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( empty(the_carrier(X0))
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK10(the_carrier(X0)),X2,X3)
| ~ net_str(X4,X5)
| empty_carrier(X4)
| ~ one_sorted_str(X5)
| empty_carrier(X5)
| apply_netmap(X5,X4,apply_netmap(X4,X0,apply_netmap(X3,X2,sK13(sK10(the_carrier(X0)),X2,X3,X1)))) = apply_on_structs(X4,X5,the_mapping(X5,X4),apply_netmap(X4,X0,apply_netmap(X3,X2,sK13(sK10(the_carrier(X0)),X2,X3,X1))))
| ~ net_str(X0,X4)
| empty_carrier(X0)
| ~ one_sorted_str(X4) )
| ~ spl27_144
| ~ spl27_190 ),
inference(resolution,[],[f1418,f1060]) ).
fof(f5550,plain,
( spl27_520
| ~ spl27_144
| ~ spl27_189 ),
inference(avatar_split_clause,[],[f1445,f1413,f1059,f5548]) ).
fof(f1445,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( empty(the_carrier(X0))
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK9(the_carrier(X0)),X2,X3)
| ~ net_str(X4,X5)
| empty_carrier(X4)
| ~ one_sorted_str(X5)
| empty_carrier(X5)
| apply_netmap(X5,X4,apply_netmap(X4,X0,apply_netmap(X3,X2,sK13(sK9(the_carrier(X0)),X2,X3,X1)))) = apply_on_structs(X4,X5,the_mapping(X5,X4),apply_netmap(X4,X0,apply_netmap(X3,X2,sK13(sK9(the_carrier(X0)),X2,X3,X1))))
| ~ net_str(X0,X4)
| empty_carrier(X0)
| ~ one_sorted_str(X4) )
| ~ spl27_144
| ~ spl27_189 ),
inference(resolution,[],[f1414,f1060]) ).
fof(f5546,plain,
( spl27_519
| ~ spl27_144
| ~ spl27_188 ),
inference(avatar_split_clause,[],[f1436,f1409,f1059,f5544]) ).
fof(f1436,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( empty(the_carrier(X0))
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK8(the_carrier(X0)),X2,X3)
| ~ net_str(X4,X5)
| empty_carrier(X4)
| ~ one_sorted_str(X5)
| empty_carrier(X5)
| apply_netmap(X5,X4,apply_netmap(X4,X0,apply_netmap(X3,X2,sK13(sK8(the_carrier(X0)),X2,X3,X1)))) = apply_on_structs(X4,X5,the_mapping(X5,X4),apply_netmap(X4,X0,apply_netmap(X3,X2,sK13(sK8(the_carrier(X0)),X2,X3,X1))))
| ~ net_str(X0,X4)
| empty_carrier(X0)
| ~ one_sorted_str(X4) )
| ~ spl27_144
| ~ spl27_188 ),
inference(resolution,[],[f1410,f1060]) ).
fof(f5542,plain,
( spl27_518
| ~ spl27_144
| ~ spl27_187 ),
inference(avatar_split_clause,[],[f1428,f1405,f1059,f5540]) ).
fof(f1428,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(sK17(powerset(the_carrier(X2))),X1,X3)
| ~ net_str(X4,X5)
| empty_carrier(X4)
| ~ one_sorted_str(X5)
| empty_carrier(X5)
| apply_netmap(X5,X4,apply_netmap(X4,X2,apply_netmap(X3,X1,sK13(sK17(powerset(the_carrier(X2))),X1,X3,X0)))) = apply_on_structs(X4,X5,the_mapping(X5,X4),apply_netmap(X4,X2,apply_netmap(X3,X1,sK13(sK17(powerset(the_carrier(X2))),X1,X3,X0))))
| ~ net_str(X2,X4)
| empty_carrier(X2)
| ~ one_sorted_str(X4) )
| ~ spl27_144
| ~ spl27_187 ),
inference(resolution,[],[f1406,f1060]) ).
fof(f5491,plain,
( ~ spl27_516
| ~ spl27_517
| ~ spl27_52
| spl27_500 ),
inference(avatar_split_clause,[],[f5370,f5104,f473,f5488,f5484]) ).
fof(f5484,plain,
( spl27_516
<=> finite(the_carrier(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_516])]) ).
fof(f5488,plain,
( spl27_517
<=> finite(the_carrier(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_517])]) ).
fof(f473,plain,
( spl27_52
<=> ! [X0,X1] :
( finite(cartesian_product2(X0,X1))
| ~ finite(X1)
| ~ finite(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_52])]) ).
fof(f5104,plain,
( spl27_500
<=> finite(cartesian_product2(the_carrier(sK5),the_carrier(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_500])]) ).
fof(f5370,plain,
( ~ finite(the_carrier(sK4))
| ~ finite(the_carrier(sK5))
| ~ spl27_52
| spl27_500 ),
inference(resolution,[],[f5106,f474]) ).
fof(f474,plain,
( ! [X0,X1] :
( finite(cartesian_product2(X0,X1))
| ~ finite(X1)
| ~ finite(X0) )
| ~ spl27_52 ),
inference(avatar_component_clause,[],[f473]) ).
fof(f5106,plain,
( ~ finite(cartesian_product2(the_carrier(sK5),the_carrier(sK4)))
| spl27_500 ),
inference(avatar_component_clause,[],[f5104]) ).
fof(f5474,plain,
( spl27_515
| ~ spl27_79
| ~ spl27_248 ),
inference(avatar_split_clause,[],[f2039,f1996,f636,f5472]) ).
fof(f2039,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X3,X4,X5)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X3,X4,X5))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| ~ element(X5,the_carrier(X4))
| ~ net_str(X4,X3)
| empty_carrier(X4)
| ~ one_sorted_str(X3) )
| ~ spl27_79
| ~ spl27_248 ),
inference(duplicate_literal_removal,[],[f2004]) ).
fof(f2004,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X3,X4,X5)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,apply_netmap(X3,X4,X5))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| ~ element(X5,the_carrier(X4))
| ~ net_str(X4,X3)
| empty_carrier(X4)
| ~ one_sorted_str(X3)
| empty_carrier(X3) )
| ~ spl27_79
| ~ spl27_248 ),
inference(resolution,[],[f1997,f637]) ).
fof(f5470,plain,
( spl27_514
| ~ spl27_140
| ~ spl27_190 ),
inference(avatar_split_clause,[],[f1455,f1417,f1029,f5468]) ).
fof(f1455,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( empty(the_carrier(X0))
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK10(the_carrier(X0)),X2,X3)
| ~ net_str(X0,X4)
| empty_carrier(X0)
| ~ one_sorted_str(X4)
| empty_carrier(X4)
| sP2(X5,X0,X6)
| apply_netmap(X4,X0,sK14(X5,X0,X6,apply_netmap(X3,X2,sK13(sK10(the_carrier(X0)),X2,X3,X1)))) = apply_on_structs(X0,X4,the_mapping(X4,X0),sK14(X5,X0,X6,apply_netmap(X3,X2,sK13(sK10(the_carrier(X0)),X2,X3,X1)))) )
| ~ spl27_140
| ~ spl27_190 ),
inference(resolution,[],[f1418,f1030]) ).
fof(f5466,plain,
( spl27_513
| ~ spl27_140
| ~ spl27_189 ),
inference(avatar_split_clause,[],[f1446,f1413,f1029,f5464]) ).
fof(f1446,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( empty(the_carrier(X0))
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK9(the_carrier(X0)),X2,X3)
| ~ net_str(X0,X4)
| empty_carrier(X0)
| ~ one_sorted_str(X4)
| empty_carrier(X4)
| sP2(X5,X0,X6)
| apply_netmap(X4,X0,sK14(X5,X0,X6,apply_netmap(X3,X2,sK13(sK9(the_carrier(X0)),X2,X3,X1)))) = apply_on_structs(X0,X4,the_mapping(X4,X0),sK14(X5,X0,X6,apply_netmap(X3,X2,sK13(sK9(the_carrier(X0)),X2,X3,X1)))) )
| ~ spl27_140
| ~ spl27_189 ),
inference(resolution,[],[f1414,f1030]) ).
fof(f5462,plain,
( spl27_512
| ~ spl27_140
| ~ spl27_188 ),
inference(avatar_split_clause,[],[f1437,f1409,f1029,f5460]) ).
fof(f1437,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( empty(the_carrier(X0))
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK8(the_carrier(X0)),X2,X3)
| ~ net_str(X0,X4)
| empty_carrier(X0)
| ~ one_sorted_str(X4)
| empty_carrier(X4)
| sP2(X5,X0,X6)
| apply_netmap(X4,X0,sK14(X5,X0,X6,apply_netmap(X3,X2,sK13(sK8(the_carrier(X0)),X2,X3,X1)))) = apply_on_structs(X0,X4,the_mapping(X4,X0),sK14(X5,X0,X6,apply_netmap(X3,X2,sK13(sK8(the_carrier(X0)),X2,X3,X1)))) )
| ~ spl27_140
| ~ spl27_188 ),
inference(resolution,[],[f1410,f1030]) ).
fof(f5458,plain,
( spl27_511
| ~ spl27_140
| ~ spl27_187 ),
inference(avatar_split_clause,[],[f1429,f1405,f1029,f5456]) ).
fof(f1429,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(sK17(powerset(the_carrier(X2))),X1,X3)
| ~ net_str(X2,X4)
| empty_carrier(X2)
| ~ one_sorted_str(X4)
| empty_carrier(X4)
| sP2(X5,X2,X6)
| apply_netmap(X4,X2,sK14(X5,X2,X6,apply_netmap(X3,X1,sK13(sK17(powerset(the_carrier(X2))),X1,X3,X0)))) = apply_on_structs(X2,X4,the_mapping(X4,X2),sK14(X5,X2,X6,apply_netmap(X3,X1,sK13(sK17(powerset(the_carrier(X2))),X1,X3,X0)))) )
| ~ spl27_140
| ~ spl27_187 ),
inference(resolution,[],[f1406,f1030]) ).
fof(f5330,plain,
( spl27_510
| ~ spl27_75
| ~ spl27_248 ),
inference(avatar_split_clause,[],[f2026,f1996,f615,f5328]) ).
fof(f2026,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,sK14(X4,X3,X5,X6)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,sK14(X4,X3,X5,X6))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| sP2(X4,X3,X5)
| ~ element(X6,the_carrier(X3)) )
| ~ spl27_75
| ~ spl27_248 ),
inference(resolution,[],[f1997,f616]) ).
fof(f5326,plain,
( spl27_509
| ~ spl27_73
| ~ spl27_248 ),
inference(avatar_split_clause,[],[f2025,f1996,f607,f5324]) ).
fof(f2025,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,sK13(X4,X3,X5,X6)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,sK13(X4,X3,X5,X6))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| ~ element(X6,the_carrier(X3))
| ~ sP0(X4,X3,X5) )
| ~ spl27_73
| ~ spl27_248 ),
inference(resolution,[],[f1997,f608]) ).
fof(f5322,plain,
( spl27_508
| ~ spl27_79
| ~ spl27_247 ),
inference(avatar_split_clause,[],[f1994,f1917,f636,f5320]) ).
fof(f1994,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X2,X5,X6)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X2,X5,X6))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| ~ element(X6,the_carrier(X5))
| ~ net_str(X5,X2)
| empty_carrier(X5)
| ~ one_sorted_str(X2) )
| ~ spl27_79
| ~ spl27_247 ),
inference(duplicate_literal_removal,[],[f1959]) ).
fof(f1959,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X2,X5,X6)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,apply_netmap(X2,X5,X6))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| ~ element(X6,the_carrier(X5))
| ~ net_str(X5,X2)
| empty_carrier(X5)
| ~ one_sorted_str(X2)
| empty_carrier(X2) )
| ~ spl27_79
| ~ spl27_247 ),
inference(resolution,[],[f1918,f637]) ).
fof(f5318,plain,
( spl27_507
| ~ spl27_79
| ~ spl27_245 ),
inference(avatar_split_clause,[],[f1955,f1909,f636,f5316]) ).
fof(f1955,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X4,X5,X6)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X4,X5,X6))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| ~ element(X6,the_carrier(X5))
| ~ net_str(X5,X4)
| empty_carrier(X5)
| ~ one_sorted_str(X4) )
| ~ spl27_79
| ~ spl27_245 ),
inference(duplicate_literal_removal,[],[f1920]) ).
fof(f1920,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X4,X5,X6)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,apply_netmap(X4,X5,X6))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| ~ element(X6,the_carrier(X5))
| ~ net_str(X5,X4)
| empty_carrier(X5)
| ~ one_sorted_str(X4)
| empty_carrier(X4) )
| ~ spl27_79
| ~ spl27_245 ),
inference(resolution,[],[f1910,f637]) ).
fof(f5184,plain,
( spl27_506
| ~ spl27_75
| ~ spl27_247 ),
inference(avatar_split_clause,[],[f1981,f1917,f615,f5182]) ).
fof(f1981,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,sK14(X5,X2,X6,X7)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,sK14(X5,X2,X6,X7))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| sP2(X5,X2,X6)
| ~ element(X7,the_carrier(X2)) )
| ~ spl27_75
| ~ spl27_247 ),
inference(resolution,[],[f1918,f616]) ).
fof(f5180,plain,
( spl27_505
| ~ spl27_73
| ~ spl27_247 ),
inference(avatar_split_clause,[],[f1980,f1917,f607,f5178]) ).
fof(f1980,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,sK13(X5,X2,X6,X7)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,sK13(X5,X2,X6,X7))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| ~ element(X7,the_carrier(X2))
| ~ sP0(X5,X2,X6) )
| ~ spl27_73
| ~ spl27_247 ),
inference(resolution,[],[f1918,f608]) ).
fof(f5176,plain,
( spl27_504
| ~ spl27_75
| ~ spl27_245 ),
inference(avatar_split_clause,[],[f1942,f1909,f615,f5174]) ).
fof(f1942,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,sK14(X5,X4,X6,X7)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,sK14(X5,X4,X6,X7))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| sP2(X5,X4,X6)
| ~ element(X7,the_carrier(X4)) )
| ~ spl27_75
| ~ spl27_245 ),
inference(resolution,[],[f1910,f616]) ).
fof(f5172,plain,
( spl27_503
| ~ spl27_73
| ~ spl27_245 ),
inference(avatar_split_clause,[],[f1941,f1909,f607,f5170]) ).
fof(f1941,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,sK13(X5,X4,X6,X7)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,sK13(X5,X4,X6,X7))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| ~ element(X7,the_carrier(X4))
| ~ sP0(X5,X4,X6) )
| ~ spl27_73
| ~ spl27_245 ),
inference(resolution,[],[f1910,f608]) ).
fof(f5168,plain,
( spl27_502
| ~ spl27_79
| ~ spl27_244 ),
inference(avatar_split_clause,[],[f1907,f1866,f636,f5166]) ).
fof(f1907,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X0,X6,X7)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X0,X6,X7))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| ~ element(X7,the_carrier(X6))
| ~ net_str(X6,X0)
| empty_carrier(X6)
| ~ one_sorted_str(X0) )
| ~ spl27_79
| ~ spl27_244 ),
inference(duplicate_literal_removal,[],[f1872]) ).
fof(f1872,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X0,X6,X7)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,apply_netmap(X0,X6,X7))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| ~ element(X7,the_carrier(X6))
| ~ net_str(X6,X0)
| empty_carrier(X6)
| ~ one_sorted_str(X0)
| empty_carrier(X0) )
| ~ spl27_79
| ~ spl27_244 ),
inference(resolution,[],[f1867,f637]) ).
fof(f5111,plain,
( ~ spl27_500
| spl27_501
| ~ spl27_116
| ~ spl27_335 ),
inference(avatar_split_clause,[],[f3033,f2928,f871,f5108,f5104]) ).
fof(f5108,plain,
( spl27_501
<=> finite(the_mapping(sK4,sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_501])]) ).
fof(f871,plain,
( spl27_116
<=> ! [X2,X0,X1] :
( ~ relation_of2_as_subset(X0,X1,X2)
| finite(X0)
| ~ finite(cartesian_product2(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_116])]) ).
fof(f3033,plain,
( finite(the_mapping(sK4,sK5))
| ~ finite(cartesian_product2(the_carrier(sK5),the_carrier(sK4)))
| ~ spl27_116
| ~ spl27_335 ),
inference(resolution,[],[f2930,f872]) ).
fof(f872,plain,
( ! [X2,X0,X1] :
( ~ relation_of2_as_subset(X0,X1,X2)
| finite(X0)
| ~ finite(cartesian_product2(X1,X2)) )
| ~ spl27_116 ),
inference(avatar_component_clause,[],[f871]) ).
fof(f5102,plain,
( spl27_499
| ~ spl27_75
| ~ spl27_244 ),
inference(avatar_split_clause,[],[f1894,f1866,f615,f5100]) ).
fof(f1894,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,sK14(X6,X0,X7,X8)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,sK14(X6,X0,X7,X8))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| sP2(X6,X0,X7)
| ~ element(X8,the_carrier(X0)) )
| ~ spl27_75
| ~ spl27_244 ),
inference(resolution,[],[f1867,f616]) ).
fof(f5098,plain,
( spl27_498
| ~ spl27_73
| ~ spl27_244 ),
inference(avatar_split_clause,[],[f1893,f1866,f607,f5096]) ).
fof(f1893,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,sK13(X6,X0,X7,X8)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,sK13(X6,X0,X7,X8))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| ~ element(X8,the_carrier(X0))
| ~ sP0(X6,X0,X7) )
| ~ spl27_73
| ~ spl27_244 ),
inference(resolution,[],[f1867,f608]) ).
fof(f5094,plain,
( spl27_497
| ~ spl27_144
| ~ spl27_195 ),
inference(avatar_split_clause,[],[f1491,f1481,f1059,f5092]) ).
fof(f1491,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK16(X0),X2,X3)
| ~ net_str(X4,X5)
| empty_carrier(X4)
| ~ one_sorted_str(X5)
| empty_carrier(X5)
| apply_netmap(X5,X4,apply_netmap(X4,X0,apply_netmap(X3,X2,sK13(sK16(X0),X2,X3,X1)))) = apply_on_structs(X4,X5,the_mapping(X5,X4),apply_netmap(X4,X0,apply_netmap(X3,X2,sK13(sK16(X0),X2,X3,X1))))
| ~ net_str(X0,X4)
| ~ one_sorted_str(X4) )
| ~ spl27_144
| ~ spl27_195 ),
inference(duplicate_literal_removal,[],[f1484]) ).
fof(f1484,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK16(X0),X2,X3)
| ~ net_str(X4,X5)
| empty_carrier(X4)
| ~ one_sorted_str(X5)
| empty_carrier(X5)
| apply_netmap(X5,X4,apply_netmap(X4,X0,apply_netmap(X3,X2,sK13(sK16(X0),X2,X3,X1)))) = apply_on_structs(X4,X5,the_mapping(X5,X4),apply_netmap(X4,X0,apply_netmap(X3,X2,sK13(sK16(X0),X2,X3,X1))))
| ~ net_str(X0,X4)
| empty_carrier(X0)
| ~ one_sorted_str(X4) )
| ~ spl27_144
| ~ spl27_195 ),
inference(resolution,[],[f1482,f1060]) ).
fof(f5090,plain,
( spl27_496
| ~ spl27_148
| ~ spl27_191 ),
inference(avatar_split_clause,[],[f1462,f1421,f1085,f5088]) ).
fof(f5088,plain,
( spl27_496
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ element(X0,the_carrier(X1))
| ~ empty(X2)
| ~ sP0(powerset(X2),X1,X3)
| ~ element(sK14(X4,X5,X6,sK15(apply_netmap(X3,X1,sK13(powerset(X2),X1,X3,X0)),X5,X7)),the_carrier(X5))
| ~ sP2(apply_netmap(X3,X1,sK13(powerset(X2),X1,X3,X0)),X5,X7)
| sP2(X4,X5,X6)
| ~ element(sK15(apply_netmap(X3,X1,sK13(powerset(X2),X1,X3,X0)),X5,X7),the_carrier(X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_496])]) ).
fof(f1421,plain,
( spl27_191
<=> ! [X4,X0,X3,X2,X1] :
( ~ sP0(powerset(X0),X1,X2)
| ~ element(X3,the_carrier(X1))
| ~ empty(X0)
| ~ in(X4,apply_netmap(X2,X1,sK13(powerset(X0),X1,X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_191])]) ).
fof(f1462,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ element(X0,the_carrier(X1))
| ~ empty(X2)
| ~ sP0(powerset(X2),X1,X3)
| ~ element(sK14(X4,X5,X6,sK15(apply_netmap(X3,X1,sK13(powerset(X2),X1,X3,X0)),X5,X7)),the_carrier(X5))
| ~ sP2(apply_netmap(X3,X1,sK13(powerset(X2),X1,X3,X0)),X5,X7)
| sP2(X4,X5,X6)
| ~ element(sK15(apply_netmap(X3,X1,sK13(powerset(X2),X1,X3,X0)),X5,X7),the_carrier(X5)) )
| ~ spl27_148
| ~ spl27_191 ),
inference(resolution,[],[f1422,f1086]) ).
fof(f1422,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ in(X4,apply_netmap(X2,X1,sK13(powerset(X0),X1,X2,X3)))
| ~ element(X3,the_carrier(X1))
| ~ empty(X0)
| ~ sP0(powerset(X0),X1,X2) )
| ~ spl27_191 ),
inference(avatar_component_clause,[],[f1421]) ).
fof(f5086,plain,
( spl27_495
| ~ spl27_147
| ~ spl27_191 ),
inference(avatar_split_clause,[],[f1461,f1421,f1081,f5084]) ).
fof(f5084,plain,
( spl27_495
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ element(X0,the_carrier(X1))
| ~ empty(X2)
| ~ sP0(powerset(X2),X1,X3)
| ~ element(sK13(X4,X5,X6,sK15(apply_netmap(X3,X1,sK13(powerset(X2),X1,X3,X0)),X5,X7)),the_carrier(X5))
| ~ sP2(apply_netmap(X3,X1,sK13(powerset(X2),X1,X3,X0)),X5,X7)
| ~ element(sK15(apply_netmap(X3,X1,sK13(powerset(X2),X1,X3,X0)),X5,X7),the_carrier(X5))
| ~ sP0(X4,X5,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_495])]) ).
fof(f1461,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ element(X0,the_carrier(X1))
| ~ empty(X2)
| ~ sP0(powerset(X2),X1,X3)
| ~ element(sK13(X4,X5,X6,sK15(apply_netmap(X3,X1,sK13(powerset(X2),X1,X3,X0)),X5,X7)),the_carrier(X5))
| ~ sP2(apply_netmap(X3,X1,sK13(powerset(X2),X1,X3,X0)),X5,X7)
| ~ element(sK15(apply_netmap(X3,X1,sK13(powerset(X2),X1,X3,X0)),X5,X7),the_carrier(X5))
| ~ sP0(X4,X5,X6) )
| ~ spl27_147
| ~ spl27_191 ),
inference(resolution,[],[f1422,f1082]) ).
fof(f5066,plain,
( spl27_494
| ~ spl27_163
| ~ spl27_248 ),
inference(avatar_split_clause,[],[f2033,f1996,f1242,f5064]) ).
fof(f2033,plain,
( ! [X2,X3,X0,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,sK17(sK17(powerset(the_carrier(X3))))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,sK17(sK17(powerset(the_carrier(X3)))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| empty(sK17(powerset(the_carrier(X3)))) )
| ~ spl27_163
| ~ spl27_248 ),
inference(resolution,[],[f1997,f1243]) ).
fof(f5062,plain,
( spl27_493
| ~ spl27_166
| ~ spl27_248 ),
inference(avatar_split_clause,[],[f2032,f1996,f1254,f5060]) ).
fof(f2032,plain,
( ! [X2,X3,X0,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,sK17(sK10(the_carrier(X3)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,sK17(sK10(the_carrier(X3))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| empty(the_carrier(X3))
| empty(sK10(the_carrier(X3))) )
| ~ spl27_166
| ~ spl27_248 ),
inference(resolution,[],[f1997,f1255]) ).
fof(f5058,plain,
( spl27_492
| ~ spl27_165
| ~ spl27_248 ),
inference(avatar_split_clause,[],[f2031,f1996,f1250,f5056]) ).
fof(f2031,plain,
( ! [X2,X3,X0,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,sK17(sK9(the_carrier(X3)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,sK17(sK9(the_carrier(X3))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| empty(the_carrier(X3))
| empty(sK9(the_carrier(X3))) )
| ~ spl27_165
| ~ spl27_248 ),
inference(resolution,[],[f1997,f1251]) ).
fof(f5054,plain,
( spl27_491
| ~ spl27_164
| ~ spl27_248 ),
inference(avatar_split_clause,[],[f2030,f1996,f1246,f5052]) ).
fof(f2030,plain,
( ! [X2,X3,X0,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,sK17(sK8(the_carrier(X3)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,sK17(sK8(the_carrier(X3))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| empty(the_carrier(X3))
| empty(sK8(the_carrier(X3))) )
| ~ spl27_164
| ~ spl27_248 ),
inference(resolution,[],[f1997,f1247]) ).
fof(f5050,plain,
( spl27_490
| ~ spl27_140
| ~ spl27_195 ),
inference(avatar_split_clause,[],[f1490,f1481,f1029,f5048]) ).
fof(f1490,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK16(X0),X2,X3)
| ~ net_str(X0,X4)
| ~ one_sorted_str(X4)
| empty_carrier(X4)
| sP2(X5,X0,X6)
| apply_netmap(X4,X0,sK14(X5,X0,X6,apply_netmap(X3,X2,sK13(sK16(X0),X2,X3,X1)))) = apply_on_structs(X0,X4,the_mapping(X4,X0),sK14(X5,X0,X6,apply_netmap(X3,X2,sK13(sK16(X0),X2,X3,X1)))) )
| ~ spl27_140
| ~ spl27_195 ),
inference(duplicate_literal_removal,[],[f1485]) ).
fof(f1485,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK16(X0),X2,X3)
| ~ net_str(X0,X4)
| empty_carrier(X0)
| ~ one_sorted_str(X4)
| empty_carrier(X4)
| sP2(X5,X0,X6)
| apply_netmap(X4,X0,sK14(X5,X0,X6,apply_netmap(X3,X2,sK13(sK16(X0),X2,X3,X1)))) = apply_on_structs(X0,X4,the_mapping(X4,X0),sK14(X5,X0,X6,apply_netmap(X3,X2,sK13(sK16(X0),X2,X3,X1)))) )
| ~ spl27_140
| ~ spl27_195 ),
inference(resolution,[],[f1482,f1030]) ).
fof(f5031,plain,
( ~ spl27_489
| ~ spl27_35
| ~ spl27_476 ),
inference(avatar_split_clause,[],[f4989,f4944,f396,f5028]) ).
fof(f5028,plain,
( spl27_489
<=> in(sK7,sK17(sK10(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_489])]) ).
fof(f4989,plain,
( ~ in(sK7,sK17(sK10(sK6)))
| ~ spl27_35
| ~ spl27_476 ),
inference(resolution,[],[f4946,f397]) ).
fof(f5017,plain,
( spl27_488
| ~ spl27_163
| ~ spl27_247 ),
inference(avatar_split_clause,[],[f1988,f1917,f1242,f5015]) ).
fof(f1988,plain,
( ! [X2,X3,X0,X1,X4] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,sK17(sK17(powerset(the_carrier(X2))))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,sK17(sK17(powerset(the_carrier(X2)))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| empty(sK17(powerset(the_carrier(X2)))) )
| ~ spl27_163
| ~ spl27_247 ),
inference(resolution,[],[f1918,f1243]) ).
fof(f5013,plain,
( spl27_487
| ~ spl27_166
| ~ spl27_247 ),
inference(avatar_split_clause,[],[f1987,f1917,f1254,f5011]) ).
fof(f1987,plain,
( ! [X2,X3,X0,X1,X4] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,sK17(sK10(the_carrier(X2)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,sK17(sK10(the_carrier(X2))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| empty(the_carrier(X2))
| empty(sK10(the_carrier(X2))) )
| ~ spl27_166
| ~ spl27_247 ),
inference(resolution,[],[f1918,f1255]) ).
fof(f5009,plain,
( spl27_486
| ~ spl27_165
| ~ spl27_247 ),
inference(avatar_split_clause,[],[f1986,f1917,f1250,f5007]) ).
fof(f1986,plain,
( ! [X2,X3,X0,X1,X4] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,sK17(sK9(the_carrier(X2)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,sK17(sK9(the_carrier(X2))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| empty(the_carrier(X2))
| empty(sK9(the_carrier(X2))) )
| ~ spl27_165
| ~ spl27_247 ),
inference(resolution,[],[f1918,f1251]) ).
fof(f5005,plain,
( spl27_485
| ~ spl27_164
| ~ spl27_247 ),
inference(avatar_split_clause,[],[f1985,f1917,f1246,f5003]) ).
fof(f1985,plain,
( ! [X2,X3,X0,X1,X4] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,sK17(sK8(the_carrier(X2)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,sK17(sK8(the_carrier(X2))))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| empty(the_carrier(X2))
| empty(sK8(the_carrier(X2))) )
| ~ spl27_164
| ~ spl27_247 ),
inference(resolution,[],[f1918,f1247]) ).
fof(f5001,plain,
( spl27_484
| ~ spl27_163
| ~ spl27_245 ),
inference(avatar_split_clause,[],[f1949,f1909,f1242,f4999]) ).
fof(f1949,plain,
( ! [X2,X3,X0,X1,X4] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,sK17(sK17(powerset(the_carrier(X4))))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,sK17(sK17(powerset(the_carrier(X4)))))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| empty(sK17(powerset(the_carrier(X4)))) )
| ~ spl27_163
| ~ spl27_245 ),
inference(resolution,[],[f1910,f1243]) ).
fof(f4997,plain,
( spl27_483
| ~ spl27_166
| ~ spl27_245 ),
inference(avatar_split_clause,[],[f1948,f1909,f1254,f4995]) ).
fof(f1948,plain,
( ! [X2,X3,X0,X1,X4] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,sK17(sK10(the_carrier(X4)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,sK17(sK10(the_carrier(X4))))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| empty(the_carrier(X4))
| empty(sK10(the_carrier(X4))) )
| ~ spl27_166
| ~ spl27_245 ),
inference(resolution,[],[f1910,f1255]) ).
fof(f4993,plain,
( spl27_482
| ~ spl27_165
| ~ spl27_245 ),
inference(avatar_split_clause,[],[f1947,f1909,f1250,f4991]) ).
fof(f1947,plain,
( ! [X2,X3,X0,X1,X4] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,sK17(sK9(the_carrier(X4)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,sK17(sK9(the_carrier(X4))))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| empty(the_carrier(X4))
| empty(sK9(the_carrier(X4))) )
| ~ spl27_165
| ~ spl27_245 ),
inference(resolution,[],[f1910,f1251]) ).
fof(f4986,plain,
( spl27_481
| ~ spl27_164
| ~ spl27_245 ),
inference(avatar_split_clause,[],[f1946,f1909,f1246,f4984]) ).
fof(f1946,plain,
( ! [X2,X3,X0,X1,X4] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,sK17(sK8(the_carrier(X4)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,sK17(sK8(the_carrier(X4))))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| empty(the_carrier(X4))
| empty(sK8(the_carrier(X4))) )
| ~ spl27_164
| ~ spl27_245 ),
inference(resolution,[],[f1910,f1247]) ).
fof(f4970,plain,
( spl27_480
| ~ spl27_163
| ~ spl27_244 ),
inference(avatar_split_clause,[],[f1901,f1866,f1242,f4968]) ).
fof(f1901,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,sK17(sK17(powerset(the_carrier(X0))))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,sK17(sK17(powerset(the_carrier(X0)))))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| empty(sK17(powerset(the_carrier(X0)))) )
| ~ spl27_163
| ~ spl27_244 ),
inference(resolution,[],[f1867,f1243]) ).
fof(f4966,plain,
( spl27_479
| ~ spl27_166
| ~ spl27_244 ),
inference(avatar_split_clause,[],[f1900,f1866,f1254,f4964]) ).
fof(f1900,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,sK17(sK10(the_carrier(X0)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,sK17(sK10(the_carrier(X0))))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| empty(the_carrier(X0))
| empty(sK10(the_carrier(X0))) )
| ~ spl27_166
| ~ spl27_244 ),
inference(resolution,[],[f1867,f1255]) ).
fof(f4962,plain,
( spl27_478
| ~ spl27_165
| ~ spl27_244 ),
inference(avatar_split_clause,[],[f1899,f1866,f1250,f4960]) ).
fof(f1899,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,sK17(sK9(the_carrier(X0)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,sK17(sK9(the_carrier(X0))))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| empty(the_carrier(X0))
| empty(sK9(the_carrier(X0))) )
| ~ spl27_165
| ~ spl27_244 ),
inference(resolution,[],[f1867,f1251]) ).
fof(f4958,plain,
( spl27_477
| ~ spl27_164
| ~ spl27_244 ),
inference(avatar_split_clause,[],[f1898,f1866,f1246,f4956]) ).
fof(f1898,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,sK17(sK8(the_carrier(X0)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,sK17(sK8(the_carrier(X0))))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| empty(the_carrier(X0))
| empty(sK8(the_carrier(X0))) )
| ~ spl27_164
| ~ spl27_244 ),
inference(resolution,[],[f1867,f1247]) ).
fof(f4947,plain,
( spl27_476
| spl27_123
| ~ spl27_50
| ~ spl27_452 ),
inference(avatar_split_clause,[],[f4900,f4491,f465,f922,f4944]) ).
fof(f4491,plain,
( spl27_452
<=> element(sK17(sK10(sK6)),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_452])]) ).
fof(f4900,plain,
( empty(sK7)
| in(sK17(sK10(sK6)),sK7)
| ~ spl27_50
| ~ spl27_452 ),
inference(resolution,[],[f4493,f466]) ).
fof(f4493,plain,
( element(sK17(sK10(sK6)),sK7)
| ~ spl27_452 ),
inference(avatar_component_clause,[],[f4491]) ).
fof(f4939,plain,
( spl27_475
| ~ spl27_66
| ~ spl27_248 ),
inference(avatar_split_clause,[],[f2027,f1996,f568,f4937]) ).
fof(f2027,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,sK15(X4,X3,X5)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,sK15(X4,X3,X5))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| ~ sP2(X4,X3,X5) )
| ~ spl27_66
| ~ spl27_248 ),
inference(resolution,[],[f1997,f569]) ).
fof(f4935,plain,
( spl27_474
| ~ spl27_63
| ~ spl27_248 ),
inference(avatar_split_clause,[],[f2024,f1996,f556,f4933]) ).
fof(f2024,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,sK12(X4,X3,X5)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,sK12(X4,X3,X5))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| sP0(X4,X3,X5) )
| ~ spl27_63
| ~ spl27_248 ),
inference(resolution,[],[f1997,f557]) ).
fof(f4908,plain,
( spl27_473
| ~ spl27_174
| ~ spl27_248 ),
inference(avatar_split_clause,[],[f2034,f1996,f1340,f4906]) ).
fof(f2034,plain,
( ! [X2,X3,X0,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,sK17(sK16(X3))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,sK17(sK16(X3)))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| ~ one_sorted_str(X3)
| empty(sK16(X3)) )
| ~ spl27_174
| ~ spl27_248 ),
inference(duplicate_literal_removal,[],[f2028]) ).
fof(f2028,plain,
( ! [X2,X3,X0,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,sK17(sK16(X3))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,sK17(sK16(X3)))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| empty(sK16(X3)) )
| ~ spl27_174
| ~ spl27_248 ),
inference(resolution,[],[f1997,f1341]) ).
fof(f4904,plain,
( spl27_472
| ~ spl27_66
| ~ spl27_247 ),
inference(avatar_split_clause,[],[f1982,f1917,f568,f4902]) ).
fof(f1982,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,sK15(X5,X2,X6)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,sK15(X5,X2,X6))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| ~ sP2(X5,X2,X6) )
| ~ spl27_66
| ~ spl27_247 ),
inference(resolution,[],[f1918,f569]) ).
fof(f4899,plain,
( spl27_471
| ~ spl27_63
| ~ spl27_247 ),
inference(avatar_split_clause,[],[f1979,f1917,f556,f4897]) ).
fof(f1979,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,sK12(X5,X2,X6)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,sK12(X5,X2,X6))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| sP0(X5,X2,X6) )
| ~ spl27_63
| ~ spl27_247 ),
inference(resolution,[],[f1918,f557]) ).
fof(f4895,plain,
( spl27_470
| ~ spl27_66
| ~ spl27_245 ),
inference(avatar_split_clause,[],[f1943,f1909,f568,f4893]) ).
fof(f1943,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,sK15(X5,X4,X6)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,sK15(X5,X4,X6))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| ~ sP2(X5,X4,X6) )
| ~ spl27_66
| ~ spl27_245 ),
inference(resolution,[],[f1910,f569]) ).
fof(f4891,plain,
( spl27_469
| ~ spl27_63
| ~ spl27_245 ),
inference(avatar_split_clause,[],[f1940,f1909,f556,f4889]) ).
fof(f1940,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,sK12(X5,X4,X6)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,sK12(X5,X4,X6))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| sP0(X5,X4,X6) )
| ~ spl27_63
| ~ spl27_245 ),
inference(resolution,[],[f1910,f557]) ).
fof(f4871,plain,
( spl27_468
| ~ spl27_174
| ~ spl27_247 ),
inference(avatar_split_clause,[],[f1989,f1917,f1340,f4869]) ).
fof(f1989,plain,
( ! [X2,X3,X0,X1,X4] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,sK17(sK16(X2))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,sK17(sK16(X2)))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| ~ one_sorted_str(X2)
| empty(sK16(X2)) )
| ~ spl27_174
| ~ spl27_247 ),
inference(duplicate_literal_removal,[],[f1983]) ).
fof(f1983,plain,
( ! [X2,X3,X0,X1,X4] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,sK17(sK16(X2))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,sK17(sK16(X2)))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| empty(sK16(X2)) )
| ~ spl27_174
| ~ spl27_247 ),
inference(resolution,[],[f1918,f1341]) ).
fof(f4867,plain,
( spl27_467
| ~ spl27_174
| ~ spl27_245 ),
inference(avatar_split_clause,[],[f1950,f1909,f1340,f4865]) ).
fof(f1950,plain,
( ! [X2,X3,X0,X1,X4] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,sK17(sK16(X4))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,sK17(sK16(X4)))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| ~ one_sorted_str(X4)
| empty(sK16(X4)) )
| ~ spl27_174
| ~ spl27_245 ),
inference(duplicate_literal_removal,[],[f1944]) ).
fof(f1944,plain,
( ! [X2,X3,X0,X1,X4] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,sK17(sK16(X4))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,sK17(sK16(X4)))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| ~ one_sorted_str(X4)
| empty_carrier(X4)
| empty(sK16(X4)) )
| ~ spl27_174
| ~ spl27_245 ),
inference(resolution,[],[f1910,f1341]) ).
fof(f4863,plain,
( spl27_466
| ~ spl27_66
| ~ spl27_244 ),
inference(avatar_split_clause,[],[f1895,f1866,f568,f4861]) ).
fof(f1895,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,sK15(X6,X0,X7)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,sK15(X6,X0,X7))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| ~ sP2(X6,X0,X7) )
| ~ spl27_66
| ~ spl27_244 ),
inference(resolution,[],[f1867,f569]) ).
fof(f4859,plain,
( spl27_465
| ~ spl27_63
| ~ spl27_244 ),
inference(avatar_split_clause,[],[f1892,f1866,f556,f4857]) ).
fof(f1892,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,sK12(X6,X0,X7)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,sK12(X6,X0,X7))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| sP0(X6,X0,X7) )
| ~ spl27_63
| ~ spl27_244 ),
inference(resolution,[],[f1867,f557]) ).
fof(f4812,plain,
( spl27_464
| ~ spl27_174
| ~ spl27_244 ),
inference(avatar_split_clause,[],[f1902,f1866,f1340,f4810]) ).
fof(f1902,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,sK17(sK16(X0))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,sK17(sK16(X0)))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| ~ one_sorted_str(X0)
| empty(sK16(X0)) )
| ~ spl27_174
| ~ spl27_244 ),
inference(duplicate_literal_removal,[],[f1896]) ).
fof(f1896,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,sK17(sK16(X0))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,sK17(sK16(X0)))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(sK16(X0)) )
| ~ spl27_174
| ~ spl27_244 ),
inference(resolution,[],[f1867,f1341]) ).
fof(f4808,plain,
( spl27_463
| ~ spl27_60
| ~ spl27_240 ),
inference(avatar_split_clause,[],[f1827,f1815,f529,f4806]) ).
fof(f4806,plain,
( spl27_463
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sP2(sK17(powerset(powerset(X0))),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK17(powerset(powerset(X0))),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK17(powerset(powerset(X0))),X1,X2)),the_carrier(X1))
| element(X5,X0)
| ~ in(X5,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK17(powerset(powerset(X0))),X1,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_463])]) ).
fof(f529,plain,
( spl27_60
<=> ! [X2,X0,X1] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_60])]) ).
fof(f1827,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sP2(sK17(powerset(powerset(X0))),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK17(powerset(powerset(X0))),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK17(powerset(powerset(X0))),X1,X2)),the_carrier(X1))
| element(X5,X0)
| ~ in(X5,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK17(powerset(powerset(X0))),X1,X2)))) )
| ~ spl27_60
| ~ spl27_240 ),
inference(resolution,[],[f1816,f530]) ).
fof(f530,plain,
( ! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| element(X0,X2)
| ~ in(X0,X1) )
| ~ spl27_60 ),
inference(avatar_component_clause,[],[f529]) ).
fof(f4804,plain,
( spl27_462
| ~ spl27_60
| ~ spl27_239 ),
inference(avatar_split_clause,[],[f1819,f1811,f529,f4802]) ).
fof(f4802,plain,
( spl27_462
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sP2(sK17(powerset(powerset(X0))),X1,X2)
| ~ element(sK15(sK17(powerset(powerset(X0))),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK17(powerset(powerset(X0))),X1,X2)),the_carrier(X1))
| element(X5,X0)
| ~ in(X5,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK17(powerset(powerset(X0))),X1,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_462])]) ).
fof(f1819,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sP2(sK17(powerset(powerset(X0))),X1,X2)
| ~ element(sK15(sK17(powerset(powerset(X0))),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK17(powerset(powerset(X0))),X1,X2)),the_carrier(X1))
| element(X5,X0)
| ~ in(X5,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK17(powerset(powerset(X0))),X1,X2)))) )
| ~ spl27_60
| ~ spl27_239 ),
inference(resolution,[],[f1812,f530]) ).
fof(f4740,plain,
( spl27_142
| ~ spl27_28
| ~ spl27_453 ),
inference(avatar_split_clause,[],[f4611,f4495,f363,f1037]) ).
fof(f4495,plain,
( spl27_453
<=> empty(sK10(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_453])]) ).
fof(f4611,plain,
( empty(sK6)
| ~ spl27_28
| ~ spl27_453 ),
inference(resolution,[],[f4497,f364]) ).
fof(f4497,plain,
( empty(sK10(sK6))
| ~ spl27_453 ),
inference(avatar_component_clause,[],[f4495]) ).
fof(f4639,plain,
( spl27_461
| ~ spl27_56
| ~ spl27_240 ),
inference(avatar_split_clause,[],[f1826,f1815,f505,f4637]) ).
fof(f4637,plain,
( spl27_461
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sP2(sK17(powerset(powerset(X0))),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK17(powerset(powerset(X0))),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK17(powerset(powerset(X0))),X1,X2)),the_carrier(X1))
| ~ empty(X0)
| ~ in(X5,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK17(powerset(powerset(X0))),X1,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_461])]) ).
fof(f505,plain,
( spl27_56
<=> ! [X2,X0,X1] :
( ~ empty(X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_56])]) ).
fof(f1826,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sP2(sK17(powerset(powerset(X0))),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK17(powerset(powerset(X0))),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK17(powerset(powerset(X0))),X1,X2)),the_carrier(X1))
| ~ empty(X0)
| ~ in(X5,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK17(powerset(powerset(X0))),X1,X2)))) )
| ~ spl27_56
| ~ spl27_240 ),
inference(resolution,[],[f1816,f506]) ).
fof(f506,plain,
( ! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| ~ empty(X2)
| ~ in(X0,X1) )
| ~ spl27_56 ),
inference(avatar_component_clause,[],[f505]) ).
fof(f4635,plain,
( spl27_460
| ~ spl27_56
| ~ spl27_239 ),
inference(avatar_split_clause,[],[f1818,f1811,f505,f4633]) ).
fof(f4633,plain,
( spl27_460
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sP2(sK17(powerset(powerset(X0))),X1,X2)
| ~ element(sK15(sK17(powerset(powerset(X0))),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK17(powerset(powerset(X0))),X1,X2)),the_carrier(X1))
| ~ empty(X0)
| ~ in(X5,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK17(powerset(powerset(X0))),X1,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_460])]) ).
fof(f1818,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sP2(sK17(powerset(powerset(X0))),X1,X2)
| ~ element(sK15(sK17(powerset(powerset(X0))),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK17(powerset(powerset(X0))),X1,X2)),the_carrier(X1))
| ~ empty(X0)
| ~ in(X5,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK17(powerset(powerset(X0))),X1,X2)))) )
| ~ spl27_56
| ~ spl27_239 ),
inference(resolution,[],[f1812,f506]) ).
fof(f4631,plain,
( spl27_459
| ~ spl27_60
| ~ spl27_234 ),
inference(avatar_split_clause,[],[f1784,f1735,f529,f4629]) ).
fof(f4629,plain,
( spl27_459
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sP2(sK10(powerset(X0)),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK10(powerset(X0)),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK10(powerset(X0)),X1,X2)),the_carrier(X1))
| empty(powerset(X0))
| element(X5,X0)
| ~ in(X5,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK10(powerset(X0)),X1,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_459])]) ).
fof(f1784,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sP2(sK10(powerset(X0)),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK10(powerset(X0)),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK10(powerset(X0)),X1,X2)),the_carrier(X1))
| empty(powerset(X0))
| element(X5,X0)
| ~ in(X5,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK10(powerset(X0)),X1,X2)))) )
| ~ spl27_60
| ~ spl27_234 ),
inference(resolution,[],[f1736,f530]) ).
fof(f4627,plain,
( spl27_458
| ~ spl27_60
| ~ spl27_233 ),
inference(avatar_split_clause,[],[f1775,f1731,f529,f4625]) ).
fof(f4625,plain,
( spl27_458
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sP2(sK9(powerset(X0)),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK9(powerset(X0)),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK9(powerset(X0)),X1,X2)),the_carrier(X1))
| empty(powerset(X0))
| element(X5,X0)
| ~ in(X5,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK9(powerset(X0)),X1,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_458])]) ).
fof(f1775,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sP2(sK9(powerset(X0)),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK9(powerset(X0)),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK9(powerset(X0)),X1,X2)),the_carrier(X1))
| empty(powerset(X0))
| element(X5,X0)
| ~ in(X5,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK9(powerset(X0)),X1,X2)))) )
| ~ spl27_60
| ~ spl27_233 ),
inference(resolution,[],[f1732,f530]) ).
fof(f4623,plain,
( spl27_457
| ~ spl27_60
| ~ spl27_232 ),
inference(avatar_split_clause,[],[f1766,f1727,f529,f4621]) ).
fof(f4621,plain,
( spl27_457
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sP2(sK8(powerset(X0)),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK8(powerset(X0)),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK8(powerset(X0)),X1,X2)),the_carrier(X1))
| empty(powerset(X0))
| element(X5,X0)
| ~ in(X5,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK8(powerset(X0)),X1,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_457])]) ).
fof(f1766,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sP2(sK8(powerset(X0)),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK8(powerset(X0)),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK8(powerset(X0)),X1,X2)),the_carrier(X1))
| empty(powerset(X0))
| element(X5,X0)
| ~ in(X5,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK8(powerset(X0)),X1,X2)))) )
| ~ spl27_60
| ~ spl27_232 ),
inference(resolution,[],[f1728,f530]) ).
fof(f4610,plain,
( spl27_456
| ~ spl27_60
| ~ spl27_231 ),
inference(avatar_split_clause,[],[f1757,f1723,f529,f4608]) ).
fof(f4608,plain,
( spl27_456
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sP2(sK10(powerset(X0)),X1,X2)
| ~ element(sK15(sK10(powerset(X0)),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK10(powerset(X0)),X1,X2)),the_carrier(X1))
| empty(powerset(X0))
| element(X5,X0)
| ~ in(X5,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK10(powerset(X0)),X1,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_456])]) ).
fof(f1757,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sP2(sK10(powerset(X0)),X1,X2)
| ~ element(sK15(sK10(powerset(X0)),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK10(powerset(X0)),X1,X2)),the_carrier(X1))
| empty(powerset(X0))
| element(X5,X0)
| ~ in(X5,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK10(powerset(X0)),X1,X2)))) )
| ~ spl27_60
| ~ spl27_231 ),
inference(resolution,[],[f1724,f530]) ).
fof(f4606,plain,
( spl27_455
| ~ spl27_60
| ~ spl27_230 ),
inference(avatar_split_clause,[],[f1748,f1719,f529,f4604]) ).
fof(f4604,plain,
( spl27_455
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sP2(sK9(powerset(X0)),X1,X2)
| ~ element(sK15(sK9(powerset(X0)),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK9(powerset(X0)),X1,X2)),the_carrier(X1))
| empty(powerset(X0))
| element(X5,X0)
| ~ in(X5,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK9(powerset(X0)),X1,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_455])]) ).
fof(f1748,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sP2(sK9(powerset(X0)),X1,X2)
| ~ element(sK15(sK9(powerset(X0)),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK9(powerset(X0)),X1,X2)),the_carrier(X1))
| empty(powerset(X0))
| element(X5,X0)
| ~ in(X5,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK9(powerset(X0)),X1,X2)))) )
| ~ spl27_60
| ~ spl27_230 ),
inference(resolution,[],[f1720,f530]) ).
fof(f4602,plain,
( spl27_454
| ~ spl27_60
| ~ spl27_229 ),
inference(avatar_split_clause,[],[f1739,f1715,f529,f4600]) ).
fof(f4600,plain,
( spl27_454
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sP2(sK8(powerset(X0)),X1,X2)
| ~ element(sK15(sK8(powerset(X0)),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK8(powerset(X0)),X1,X2)),the_carrier(X1))
| empty(powerset(X0))
| element(X5,X0)
| ~ in(X5,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK8(powerset(X0)),X1,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_454])]) ).
fof(f1739,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sP2(sK8(powerset(X0)),X1,X2)
| ~ element(sK15(sK8(powerset(X0)),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK8(powerset(X0)),X1,X2)),the_carrier(X1))
| empty(powerset(X0))
| element(X5,X0)
| ~ in(X5,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK8(powerset(X0)),X1,X2)))) )
| ~ spl27_60
| ~ spl27_229 ),
inference(resolution,[],[f1716,f530]) ).
fof(f4498,plain,
( spl27_452
| spl27_142
| spl27_453
| ~ spl27_135
| ~ spl27_295 ),
inference(avatar_split_clause,[],[f2426,f2374,f999,f4495,f1037,f4491]) ).
fof(f2426,plain,
( empty(sK10(sK6))
| empty(sK6)
| element(sK17(sK10(sK6)),sK7)
| ~ spl27_135
| ~ spl27_295 ),
inference(resolution,[],[f2375,f1000]) ).
fof(f4453,plain,
( spl27_451
| ~ spl27_49
| ~ spl27_240 ),
inference(avatar_split_clause,[],[f1828,f1815,f461,f4451]) ).
fof(f4451,plain,
( spl27_451
<=> ! [X4,X0,X3,X2,X1] :
( ~ sP2(sK17(powerset(powerset(X0))),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK17(powerset(powerset(X0))),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK17(powerset(powerset(X0))),X1,X2)),the_carrier(X1))
| finite(apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK17(powerset(powerset(X0))),X1,X2))))
| ~ finite(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_451])]) ).
fof(f461,plain,
( spl27_49
<=> ! [X0,X1] :
( finite(X1)
| ~ element(X1,powerset(X0))
| ~ finite(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_49])]) ).
fof(f1828,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sP2(sK17(powerset(powerset(X0))),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK17(powerset(powerset(X0))),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK17(powerset(powerset(X0))),X1,X2)),the_carrier(X1))
| finite(apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK17(powerset(powerset(X0))),X1,X2))))
| ~ finite(X0) )
| ~ spl27_49
| ~ spl27_240 ),
inference(resolution,[],[f1816,f462]) ).
fof(f462,plain,
( ! [X0,X1] :
( ~ element(X1,powerset(X0))
| finite(X1)
| ~ finite(X0) )
| ~ spl27_49 ),
inference(avatar_component_clause,[],[f461]) ).
fof(f4449,plain,
( spl27_450
| ~ spl27_49
| ~ spl27_239 ),
inference(avatar_split_clause,[],[f1820,f1811,f461,f4447]) ).
fof(f4447,plain,
( spl27_450
<=> ! [X4,X0,X3,X2,X1] :
( ~ sP2(sK17(powerset(powerset(X0))),X1,X2)
| ~ element(sK15(sK17(powerset(powerset(X0))),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK17(powerset(powerset(X0))),X1,X2)),the_carrier(X1))
| finite(apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK17(powerset(powerset(X0))),X1,X2))))
| ~ finite(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_450])]) ).
fof(f1820,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sP2(sK17(powerset(powerset(X0))),X1,X2)
| ~ element(sK15(sK17(powerset(powerset(X0))),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK17(powerset(powerset(X0))),X1,X2)),the_carrier(X1))
| finite(apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK17(powerset(powerset(X0))),X1,X2))))
| ~ finite(X0) )
| ~ spl27_49
| ~ spl27_239 ),
inference(resolution,[],[f1812,f462]) ).
fof(f4445,plain,
( spl27_449
| ~ spl27_56
| ~ spl27_234 ),
inference(avatar_split_clause,[],[f1783,f1735,f505,f4443]) ).
fof(f4443,plain,
( spl27_449
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sP2(sK10(powerset(X0)),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK10(powerset(X0)),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK10(powerset(X0)),X1,X2)),the_carrier(X1))
| empty(powerset(X0))
| ~ empty(X0)
| ~ in(X5,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK10(powerset(X0)),X1,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_449])]) ).
fof(f1783,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sP2(sK10(powerset(X0)),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK10(powerset(X0)),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK10(powerset(X0)),X1,X2)),the_carrier(X1))
| empty(powerset(X0))
| ~ empty(X0)
| ~ in(X5,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK10(powerset(X0)),X1,X2)))) )
| ~ spl27_56
| ~ spl27_234 ),
inference(resolution,[],[f1736,f506]) ).
fof(f4441,plain,
( spl27_448
| ~ spl27_56
| ~ spl27_233 ),
inference(avatar_split_clause,[],[f1774,f1731,f505,f4439]) ).
fof(f4439,plain,
( spl27_448
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sP2(sK9(powerset(X0)),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK9(powerset(X0)),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK9(powerset(X0)),X1,X2)),the_carrier(X1))
| empty(powerset(X0))
| ~ empty(X0)
| ~ in(X5,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK9(powerset(X0)),X1,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_448])]) ).
fof(f1774,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sP2(sK9(powerset(X0)),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK9(powerset(X0)),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK9(powerset(X0)),X1,X2)),the_carrier(X1))
| empty(powerset(X0))
| ~ empty(X0)
| ~ in(X5,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK9(powerset(X0)),X1,X2)))) )
| ~ spl27_56
| ~ spl27_233 ),
inference(resolution,[],[f1732,f506]) ).
fof(f4437,plain,
( spl27_447
| ~ spl27_56
| ~ spl27_232 ),
inference(avatar_split_clause,[],[f1765,f1727,f505,f4435]) ).
fof(f4435,plain,
( spl27_447
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sP2(sK8(powerset(X0)),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK8(powerset(X0)),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK8(powerset(X0)),X1,X2)),the_carrier(X1))
| empty(powerset(X0))
| ~ empty(X0)
| ~ in(X5,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK8(powerset(X0)),X1,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_447])]) ).
fof(f1765,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sP2(sK8(powerset(X0)),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK8(powerset(X0)),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK8(powerset(X0)),X1,X2)),the_carrier(X1))
| empty(powerset(X0))
| ~ empty(X0)
| ~ in(X5,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK8(powerset(X0)),X1,X2)))) )
| ~ spl27_56
| ~ spl27_232 ),
inference(resolution,[],[f1728,f506]) ).
fof(f4433,plain,
( spl27_446
| ~ spl27_56
| ~ spl27_231 ),
inference(avatar_split_clause,[],[f1756,f1723,f505,f4431]) ).
fof(f4431,plain,
( spl27_446
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sP2(sK10(powerset(X0)),X1,X2)
| ~ element(sK15(sK10(powerset(X0)),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK10(powerset(X0)),X1,X2)),the_carrier(X1))
| empty(powerset(X0))
| ~ empty(X0)
| ~ in(X5,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK10(powerset(X0)),X1,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_446])]) ).
fof(f1756,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sP2(sK10(powerset(X0)),X1,X2)
| ~ element(sK15(sK10(powerset(X0)),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK10(powerset(X0)),X1,X2)),the_carrier(X1))
| empty(powerset(X0))
| ~ empty(X0)
| ~ in(X5,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK10(powerset(X0)),X1,X2)))) )
| ~ spl27_56
| ~ spl27_231 ),
inference(resolution,[],[f1724,f506]) ).
fof(f4429,plain,
( spl27_445
| ~ spl27_56
| ~ spl27_230 ),
inference(avatar_split_clause,[],[f1747,f1719,f505,f4427]) ).
fof(f4427,plain,
( spl27_445
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sP2(sK9(powerset(X0)),X1,X2)
| ~ element(sK15(sK9(powerset(X0)),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK9(powerset(X0)),X1,X2)),the_carrier(X1))
| empty(powerset(X0))
| ~ empty(X0)
| ~ in(X5,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK9(powerset(X0)),X1,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_445])]) ).
fof(f1747,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sP2(sK9(powerset(X0)),X1,X2)
| ~ element(sK15(sK9(powerset(X0)),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK9(powerset(X0)),X1,X2)),the_carrier(X1))
| empty(powerset(X0))
| ~ empty(X0)
| ~ in(X5,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK9(powerset(X0)),X1,X2)))) )
| ~ spl27_56
| ~ spl27_230 ),
inference(resolution,[],[f1720,f506]) ).
fof(f4425,plain,
( spl27_444
| ~ spl27_56
| ~ spl27_229 ),
inference(avatar_split_clause,[],[f1738,f1715,f505,f4423]) ).
fof(f4423,plain,
( spl27_444
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sP2(sK8(powerset(X0)),X1,X2)
| ~ element(sK15(sK8(powerset(X0)),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK8(powerset(X0)),X1,X2)),the_carrier(X1))
| empty(powerset(X0))
| ~ empty(X0)
| ~ in(X5,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK8(powerset(X0)),X1,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_444])]) ).
fof(f1738,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sP2(sK8(powerset(X0)),X1,X2)
| ~ element(sK15(sK8(powerset(X0)),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK8(powerset(X0)),X1,X2)),the_carrier(X1))
| empty(powerset(X0))
| ~ empty(X0)
| ~ in(X5,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK8(powerset(X0)),X1,X2)))) )
| ~ spl27_56
| ~ spl27_229 ),
inference(resolution,[],[f1716,f506]) ).
fof(f4421,plain,
( spl27_443
| ~ spl27_82
| ~ spl27_190 ),
inference(avatar_split_clause,[],[f1456,f1417,f653,f4419]) ).
fof(f1456,plain,
( ! [X2,X3,X0,X1,X4] :
( empty(the_carrier(X0))
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK10(the_carrier(X0)),X2,X3)
| apply_netmap(X4,X0,apply_netmap(X3,X2,sK13(sK10(the_carrier(X0)),X2,X3,X1))) = apply_on_structs(X0,X4,the_mapping(X4,X0),apply_netmap(X3,X2,sK13(sK10(the_carrier(X0)),X2,X3,X1)))
| ~ net_str(X0,X4)
| empty_carrier(X0)
| ~ one_sorted_str(X4)
| empty_carrier(X4) )
| ~ spl27_82
| ~ spl27_190 ),
inference(resolution,[],[f1418,f654]) ).
fof(f4417,plain,
( spl27_442
| ~ spl27_82
| ~ spl27_189 ),
inference(avatar_split_clause,[],[f1447,f1413,f653,f4415]) ).
fof(f1447,plain,
( ! [X2,X3,X0,X1,X4] :
( empty(the_carrier(X0))
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK9(the_carrier(X0)),X2,X3)
| apply_netmap(X4,X0,apply_netmap(X3,X2,sK13(sK9(the_carrier(X0)),X2,X3,X1))) = apply_on_structs(X0,X4,the_mapping(X4,X0),apply_netmap(X3,X2,sK13(sK9(the_carrier(X0)),X2,X3,X1)))
| ~ net_str(X0,X4)
| empty_carrier(X0)
| ~ one_sorted_str(X4)
| empty_carrier(X4) )
| ~ spl27_82
| ~ spl27_189 ),
inference(resolution,[],[f1414,f654]) ).
fof(f4413,plain,
( spl27_441
| ~ spl27_82
| ~ spl27_188 ),
inference(avatar_split_clause,[],[f1438,f1409,f653,f4411]) ).
fof(f1438,plain,
( ! [X2,X3,X0,X1,X4] :
( empty(the_carrier(X0))
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK8(the_carrier(X0)),X2,X3)
| apply_netmap(X4,X0,apply_netmap(X3,X2,sK13(sK8(the_carrier(X0)),X2,X3,X1))) = apply_on_structs(X0,X4,the_mapping(X4,X0),apply_netmap(X3,X2,sK13(sK8(the_carrier(X0)),X2,X3,X1)))
| ~ net_str(X0,X4)
| empty_carrier(X0)
| ~ one_sorted_str(X4)
| empty_carrier(X4) )
| ~ spl27_82
| ~ spl27_188 ),
inference(resolution,[],[f1410,f654]) ).
fof(f4409,plain,
( spl27_440
| ~ spl27_82
| ~ spl27_187 ),
inference(avatar_split_clause,[],[f1430,f1405,f653,f4407]) ).
fof(f1430,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(sK17(powerset(the_carrier(X2))),X1,X3)
| apply_netmap(X4,X2,apply_netmap(X3,X1,sK13(sK17(powerset(the_carrier(X2))),X1,X3,X0))) = apply_on_structs(X2,X4,the_mapping(X4,X2),apply_netmap(X3,X1,sK13(sK17(powerset(the_carrier(X2))),X1,X3,X0)))
| ~ net_str(X2,X4)
| empty_carrier(X2)
| ~ one_sorted_str(X4)
| empty_carrier(X4) )
| ~ spl27_82
| ~ spl27_187 ),
inference(resolution,[],[f1406,f654]) ).
fof(f4394,plain,
( ~ spl27_439
| ~ spl27_35
| ~ spl27_428 ),
inference(avatar_split_clause,[],[f4373,f4310,f396,f4391]) ).
fof(f4391,plain,
( spl27_439
<=> in(sK7,sK17(sK9(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_439])]) ).
fof(f4373,plain,
( ~ in(sK7,sK17(sK9(sK6)))
| ~ spl27_35
| ~ spl27_428 ),
inference(resolution,[],[f4312,f397]) ).
fof(f4389,plain,
( spl27_438
| ~ spl27_23
| ~ spl27_248 ),
inference(avatar_split_clause,[],[f2029,f1996,f338,f4387]) ).
fof(f4387,plain,
( spl27_438
<=> ! [X0,X3,X2,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,sK17(the_carrier(X3))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,sK17(the_carrier(X3)))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_438])]) ).
fof(f2029,plain,
( ! [X2,X3,X0,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,sK17(the_carrier(X3))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,sK17(the_carrier(X3)))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2) )
| ~ spl27_23
| ~ spl27_248 ),
inference(resolution,[],[f1997,f339]) ).
fof(f4385,plain,
( spl27_437
| ~ spl27_50
| ~ spl27_242 ),
inference(avatar_split_clause,[],[f1854,f1839,f465,f4383]) ).
fof(f4383,plain,
( spl27_437
<=> ! [X4,X0,X3,X2,X1] :
( ~ sP2(sK16(X0),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK16(X0),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK16(X0),X1,X2)),the_carrier(X1))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(the_carrier(X0))
| in(apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK16(X0),X1,X2))),the_carrier(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_437])]) ).
fof(f1854,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sP2(sK16(X0),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK16(X0),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK16(X0),X1,X2)),the_carrier(X1))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(the_carrier(X0))
| in(apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK16(X0),X1,X2))),the_carrier(X0)) )
| ~ spl27_50
| ~ spl27_242 ),
inference(resolution,[],[f1840,f466]) ).
fof(f4381,plain,
( spl27_436
| ~ spl27_50
| ~ spl27_241 ),
inference(avatar_split_clause,[],[f1846,f1835,f465,f4379]) ).
fof(f4379,plain,
( spl27_436
<=> ! [X4,X0,X3,X2,X1] :
( ~ sP2(sK16(X0),X1,X2)
| ~ element(sK15(sK16(X0),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK16(X0),X1,X2)),the_carrier(X1))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(the_carrier(X0))
| in(apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK16(X0),X1,X2))),the_carrier(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_436])]) ).
fof(f1846,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sP2(sK16(X0),X1,X2)
| ~ element(sK15(sK16(X0),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK16(X0),X1,X2)),the_carrier(X1))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(the_carrier(X0))
| in(apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK16(X0),X1,X2))),the_carrier(X0)) )
| ~ spl27_50
| ~ spl27_241 ),
inference(resolution,[],[f1836,f466]) ).
fof(f4377,plain,
( spl27_435
| ~ spl27_49
| ~ spl27_234 ),
inference(avatar_split_clause,[],[f1785,f1735,f461,f4375]) ).
fof(f4375,plain,
( spl27_435
<=> ! [X4,X0,X3,X2,X1] :
( ~ sP2(sK10(powerset(X0)),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK10(powerset(X0)),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK10(powerset(X0)),X1,X2)),the_carrier(X1))
| empty(powerset(X0))
| finite(apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK10(powerset(X0)),X1,X2))))
| ~ finite(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_435])]) ).
fof(f1785,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sP2(sK10(powerset(X0)),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK10(powerset(X0)),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK10(powerset(X0)),X1,X2)),the_carrier(X1))
| empty(powerset(X0))
| finite(apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK10(powerset(X0)),X1,X2))))
| ~ finite(X0) )
| ~ spl27_49
| ~ spl27_234 ),
inference(resolution,[],[f1736,f462]) ).
fof(f4370,plain,
( spl27_434
| ~ spl27_49
| ~ spl27_233 ),
inference(avatar_split_clause,[],[f1776,f1731,f461,f4368]) ).
fof(f4368,plain,
( spl27_434
<=> ! [X4,X0,X3,X2,X1] :
( ~ sP2(sK9(powerset(X0)),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK9(powerset(X0)),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK9(powerset(X0)),X1,X2)),the_carrier(X1))
| empty(powerset(X0))
| finite(apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK9(powerset(X0)),X1,X2))))
| ~ finite(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_434])]) ).
fof(f1776,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sP2(sK9(powerset(X0)),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK9(powerset(X0)),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK9(powerset(X0)),X1,X2)),the_carrier(X1))
| empty(powerset(X0))
| finite(apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK9(powerset(X0)),X1,X2))))
| ~ finite(X0) )
| ~ spl27_49
| ~ spl27_233 ),
inference(resolution,[],[f1732,f462]) ).
fof(f4366,plain,
( spl27_433
| ~ spl27_49
| ~ spl27_232 ),
inference(avatar_split_clause,[],[f1767,f1727,f461,f4364]) ).
fof(f4364,plain,
( spl27_433
<=> ! [X4,X0,X3,X2,X1] :
( ~ sP2(sK8(powerset(X0)),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK8(powerset(X0)),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK8(powerset(X0)),X1,X2)),the_carrier(X1))
| empty(powerset(X0))
| finite(apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK8(powerset(X0)),X1,X2))))
| ~ finite(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_433])]) ).
fof(f1767,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sP2(sK8(powerset(X0)),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK8(powerset(X0)),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK8(powerset(X0)),X1,X2)),the_carrier(X1))
| empty(powerset(X0))
| finite(apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK8(powerset(X0)),X1,X2))))
| ~ finite(X0) )
| ~ spl27_49
| ~ spl27_232 ),
inference(resolution,[],[f1728,f462]) ).
fof(f4362,plain,
( spl27_432
| ~ spl27_49
| ~ spl27_231 ),
inference(avatar_split_clause,[],[f1758,f1723,f461,f4360]) ).
fof(f4360,plain,
( spl27_432
<=> ! [X4,X0,X3,X2,X1] :
( ~ sP2(sK10(powerset(X0)),X1,X2)
| ~ element(sK15(sK10(powerset(X0)),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK10(powerset(X0)),X1,X2)),the_carrier(X1))
| empty(powerset(X0))
| finite(apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK10(powerset(X0)),X1,X2))))
| ~ finite(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_432])]) ).
fof(f1758,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sP2(sK10(powerset(X0)),X1,X2)
| ~ element(sK15(sK10(powerset(X0)),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK10(powerset(X0)),X1,X2)),the_carrier(X1))
| empty(powerset(X0))
| finite(apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK10(powerset(X0)),X1,X2))))
| ~ finite(X0) )
| ~ spl27_49
| ~ spl27_231 ),
inference(resolution,[],[f1724,f462]) ).
fof(f4358,plain,
( spl27_431
| ~ spl27_49
| ~ spl27_230 ),
inference(avatar_split_clause,[],[f1749,f1719,f461,f4356]) ).
fof(f4356,plain,
( spl27_431
<=> ! [X4,X0,X3,X2,X1] :
( ~ sP2(sK9(powerset(X0)),X1,X2)
| ~ element(sK15(sK9(powerset(X0)),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK9(powerset(X0)),X1,X2)),the_carrier(X1))
| empty(powerset(X0))
| finite(apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK9(powerset(X0)),X1,X2))))
| ~ finite(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_431])]) ).
fof(f1749,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sP2(sK9(powerset(X0)),X1,X2)
| ~ element(sK15(sK9(powerset(X0)),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK9(powerset(X0)),X1,X2)),the_carrier(X1))
| empty(powerset(X0))
| finite(apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK9(powerset(X0)),X1,X2))))
| ~ finite(X0) )
| ~ spl27_49
| ~ spl27_230 ),
inference(resolution,[],[f1720,f462]) ).
fof(f4354,plain,
( spl27_430
| ~ spl27_49
| ~ spl27_229 ),
inference(avatar_split_clause,[],[f1740,f1715,f461,f4352]) ).
fof(f4352,plain,
( spl27_430
<=> ! [X4,X0,X3,X2,X1] :
( ~ sP2(sK8(powerset(X0)),X1,X2)
| ~ element(sK15(sK8(powerset(X0)),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK8(powerset(X0)),X1,X2)),the_carrier(X1))
| empty(powerset(X0))
| finite(apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK8(powerset(X0)),X1,X2))))
| ~ finite(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_430])]) ).
fof(f1740,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sP2(sK8(powerset(X0)),X1,X2)
| ~ element(sK15(sK8(powerset(X0)),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK8(powerset(X0)),X1,X2)),the_carrier(X1))
| empty(powerset(X0))
| finite(apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK8(powerset(X0)),X1,X2))))
| ~ finite(X0) )
| ~ spl27_49
| ~ spl27_229 ),
inference(resolution,[],[f1716,f462]) ).
fof(f4317,plain,
( spl27_429
| ~ spl27_71
| ~ spl27_253 ),
inference(avatar_split_clause,[],[f2059,f2053,f598,f4315]) ).
fof(f4315,plain,
( spl27_429
<=> ! [X0,X3,X2,X1] :
( ~ element(X0,the_carrier(X1))
| ~ function(the_mapping(X2,X1))
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X3,X2,apply_on_structs(X1,X2,the_mapping(X2,X1),X0)) = apply_on_structs(X2,X3,the_mapping(X3,X2),apply_on_structs(X1,X2,the_mapping(X2,X1),X0))
| ~ net_str(X2,X3)
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| ~ net_str(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_429])]) ).
fof(f598,plain,
( spl27_71
<=> ! [X0,X1] :
( quasi_total(the_mapping(X0,X1),the_carrier(X1),the_carrier(X0))
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_71])]) ).
fof(f2053,plain,
( spl27_253
<=> ! [X0,X3,X2,X1] :
( ~ element(X0,the_carrier(X1))
| ~ quasi_total(the_mapping(X2,X1),the_carrier(X1),the_carrier(X2))
| ~ function(the_mapping(X2,X1))
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X3,X2,apply_on_structs(X1,X2,the_mapping(X2,X1),X0)) = apply_on_structs(X2,X3,the_mapping(X3,X2),apply_on_structs(X1,X2,the_mapping(X2,X1),X0))
| ~ net_str(X2,X3)
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| ~ net_str(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_253])]) ).
fof(f2059,plain,
( ! [X2,X3,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ function(the_mapping(X2,X1))
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X3,X2,apply_on_structs(X1,X2,the_mapping(X2,X1),X0)) = apply_on_structs(X2,X3,the_mapping(X3,X2),apply_on_structs(X1,X2,the_mapping(X2,X1),X0))
| ~ net_str(X2,X3)
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| ~ net_str(X1,X2) )
| ~ spl27_71
| ~ spl27_253 ),
inference(duplicate_literal_removal,[],[f2058]) ).
fof(f2058,plain,
( ! [X2,X3,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ function(the_mapping(X2,X1))
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X3,X2,apply_on_structs(X1,X2,the_mapping(X2,X1),X0)) = apply_on_structs(X2,X3,the_mapping(X3,X2),apply_on_structs(X1,X2,the_mapping(X2,X1),X0))
| ~ net_str(X2,X3)
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| ~ net_str(X1,X2)
| ~ net_str(X1,X2)
| ~ one_sorted_str(X2) )
| ~ spl27_71
| ~ spl27_253 ),
inference(resolution,[],[f2054,f599]) ).
fof(f599,plain,
( ! [X0,X1] :
( quasi_total(the_mapping(X0,X1),the_carrier(X1),the_carrier(X0))
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) )
| ~ spl27_71 ),
inference(avatar_component_clause,[],[f598]) ).
fof(f2054,plain,
( ! [X2,X3,X0,X1] :
( ~ quasi_total(the_mapping(X2,X1),the_carrier(X1),the_carrier(X2))
| ~ element(X0,the_carrier(X1))
| ~ function(the_mapping(X2,X1))
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X3,X2,apply_on_structs(X1,X2,the_mapping(X2,X1),X0)) = apply_on_structs(X2,X3,the_mapping(X3,X2),apply_on_structs(X1,X2,the_mapping(X2,X1),X0))
| ~ net_str(X2,X3)
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| ~ net_str(X1,X2) )
| ~ spl27_253 ),
inference(avatar_component_clause,[],[f2053]) ).
fof(f4313,plain,
( spl27_428
| spl27_123
| ~ spl27_50
| ~ spl27_410 ),
inference(avatar_split_clause,[],[f4209,f4113,f465,f922,f4310]) ).
fof(f4113,plain,
( spl27_410
<=> element(sK17(sK9(sK6)),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_410])]) ).
fof(f4209,plain,
( empty(sK7)
| in(sK17(sK9(sK6)),sK7)
| ~ spl27_50
| ~ spl27_410 ),
inference(resolution,[],[f4115,f466]) ).
fof(f4115,plain,
( element(sK17(sK9(sK6)),sK7)
| ~ spl27_410 ),
inference(avatar_component_clause,[],[f4113]) ).
fof(f4308,plain,
( spl27_427
| ~ spl27_23
| ~ spl27_247 ),
inference(avatar_split_clause,[],[f1984,f1917,f338,f4306]) ).
fof(f1984,plain,
( ! [X2,X3,X0,X1,X4] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,sK17(the_carrier(X2))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,sK17(the_carrier(X2)))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ net_str(X0,X1) )
| ~ spl27_23
| ~ spl27_247 ),
inference(resolution,[],[f1918,f339]) ).
fof(f4304,plain,
( spl27_426
| ~ spl27_23
| ~ spl27_245 ),
inference(avatar_split_clause,[],[f1945,f1909,f338,f4302]) ).
fof(f4302,plain,
( spl27_426
<=> ! [X4,X0,X3,X2,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,sK17(the_carrier(X4))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,sK17(the_carrier(X4)))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_426])]) ).
fof(f1945,plain,
( ! [X2,X3,X0,X1,X4] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,sK17(the_carrier(X4))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,sK17(the_carrier(X4)))))
| ~ net_str(X0,X1)
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0) )
| ~ spl27_23
| ~ spl27_245 ),
inference(resolution,[],[f1910,f339]) ).
fof(f4300,plain,
( spl27_425
| ~ spl27_34
| ~ spl27_223 ),
inference(avatar_split_clause,[],[f1692,f1683,f392,f4298]) ).
fof(f4298,plain,
( spl27_425
<=> ! [X4,X0,X3,X2,X1] :
( empty_carrier(sK11(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,sK11(X0),X2)
| apply_netmap(X0,sK11(X0),sK14(X1,sK11(X0),X2,sK12(X3,sK11(X0),X4))) = apply_on_structs(sK11(X0),X0,the_mapping(X0,sK11(X0)),sK14(X1,sK11(X0),X2,sK12(X3,sK11(X0),X4)))
| sP0(X3,sK11(X0),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_425])]) ).
fof(f392,plain,
( spl27_34
<=> ! [X0] :
( net_str(sK11(X0),X0)
| ~ one_sorted_str(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_34])]) ).
fof(f1683,plain,
( spl27_223
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK12(X4,X0,X5))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK12(X4,X0,X5)))
| sP0(X4,X0,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_223])]) ).
fof(f1692,plain,
( ! [X2,X3,X0,X1,X4] :
( empty_carrier(sK11(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,sK11(X0),X2)
| apply_netmap(X0,sK11(X0),sK14(X1,sK11(X0),X2,sK12(X3,sK11(X0),X4))) = apply_on_structs(sK11(X0),X0,the_mapping(X0,sK11(X0)),sK14(X1,sK11(X0),X2,sK12(X3,sK11(X0),X4)))
| sP0(X3,sK11(X0),X4) )
| ~ spl27_34
| ~ spl27_223 ),
inference(duplicate_literal_removal,[],[f1691]) ).
fof(f1691,plain,
( ! [X2,X3,X0,X1,X4] :
( empty_carrier(sK11(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,sK11(X0),X2)
| apply_netmap(X0,sK11(X0),sK14(X1,sK11(X0),X2,sK12(X3,sK11(X0),X4))) = apply_on_structs(sK11(X0),X0,the_mapping(X0,sK11(X0)),sK14(X1,sK11(X0),X2,sK12(X3,sK11(X0),X4)))
| sP0(X3,sK11(X0),X4)
| ~ one_sorted_str(X0) )
| ~ spl27_34
| ~ spl27_223 ),
inference(resolution,[],[f1684,f393]) ).
fof(f393,plain,
( ! [X0] :
( net_str(sK11(X0),X0)
| ~ one_sorted_str(X0) )
| ~ spl27_34 ),
inference(avatar_component_clause,[],[f392]) ).
fof(f1684,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK12(X4,X0,X5))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK12(X4,X0,X5)))
| sP0(X4,X0,X5) )
| ~ spl27_223 ),
inference(avatar_component_clause,[],[f1683]) ).
fof(f4208,plain,
( spl27_424
| ~ spl27_23
| ~ spl27_244 ),
inference(avatar_split_clause,[],[f1897,f1866,f338,f4206]) ).
fof(f1897,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,sK17(the_carrier(X0))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,sK17(the_carrier(X0)))))
| sP2(X4,X0,X5)
| ~ net_str(X0,X1) )
| ~ spl27_23
| ~ spl27_244 ),
inference(resolution,[],[f1867,f339]) ).
fof(f4204,plain,
( spl27_423
| ~ spl27_50
| ~ spl27_240 ),
inference(avatar_split_clause,[],[f1829,f1815,f465,f4202]) ).
fof(f1829,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sP2(sK17(powerset(X0)),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK17(powerset(X0)),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK17(powerset(X0)),X1,X2)),the_carrier(X1))
| empty(X0)
| in(apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK17(powerset(X0)),X1,X2))),X0) )
| ~ spl27_50
| ~ spl27_240 ),
inference(resolution,[],[f1816,f466]) ).
fof(f4200,plain,
( spl27_422
| ~ spl27_50
| ~ spl27_239 ),
inference(avatar_split_clause,[],[f1821,f1811,f465,f4198]) ).
fof(f1821,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sP2(sK17(powerset(X0)),X1,X2)
| ~ element(sK15(sK17(powerset(X0)),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK17(powerset(X0)),X1,X2)),the_carrier(X1))
| empty(X0)
| in(apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK17(powerset(X0)),X1,X2))),X0) )
| ~ spl27_50
| ~ spl27_239 ),
inference(resolution,[],[f1812,f466]) ).
fof(f4196,plain,
( spl27_421
| ~ spl27_148
| ~ spl27_172 ),
inference(avatar_split_clause,[],[f1332,f1283,f1085,f4194]) ).
fof(f4194,plain,
( spl27_421
<=> ! [X2,X3,X4,X0,X5,X1] :
( element(apply_netmap(X0,X1,sK14(X2,X1,X3,sK15(sK19(X4,X5),X1,X0))),cartesian_product2(X4,X5))
| ~ element(sK14(X2,X1,X3,sK15(sK19(X4,X5),X1,X0)),the_carrier(X1))
| ~ sP2(sK19(X4,X5),X1,X0)
| sP2(X2,X1,X3)
| ~ element(sK15(sK19(X4,X5),X1,X0),the_carrier(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_421])]) ).
fof(f1332,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( element(apply_netmap(X0,X1,sK14(X2,X1,X3,sK15(sK19(X4,X5),X1,X0))),cartesian_product2(X4,X5))
| ~ element(sK14(X2,X1,X3,sK15(sK19(X4,X5),X1,X0)),the_carrier(X1))
| ~ sP2(sK19(X4,X5),X1,X0)
| sP2(X2,X1,X3)
| ~ element(sK15(sK19(X4,X5),X1,X0),the_carrier(X1)) )
| ~ spl27_148
| ~ spl27_172 ),
inference(resolution,[],[f1284,f1086]) ).
fof(f4192,plain,
( spl27_420
| ~ spl27_147
| ~ spl27_172 ),
inference(avatar_split_clause,[],[f1331,f1283,f1081,f4190]) ).
fof(f4190,plain,
( spl27_420
<=> ! [X2,X3,X4,X0,X5,X1] :
( element(apply_netmap(X0,X1,sK13(X2,X1,X3,sK15(sK19(X4,X5),X1,X0))),cartesian_product2(X4,X5))
| ~ element(sK13(X2,X1,X3,sK15(sK19(X4,X5),X1,X0)),the_carrier(X1))
| ~ sP2(sK19(X4,X5),X1,X0)
| ~ element(sK15(sK19(X4,X5),X1,X0),the_carrier(X1))
| ~ sP0(X2,X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_420])]) ).
fof(f1331,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( element(apply_netmap(X0,X1,sK13(X2,X1,X3,sK15(sK19(X4,X5),X1,X0))),cartesian_product2(X4,X5))
| ~ element(sK13(X2,X1,X3,sK15(sK19(X4,X5),X1,X0)),the_carrier(X1))
| ~ sP2(sK19(X4,X5),X1,X0)
| ~ element(sK15(sK19(X4,X5),X1,X0),the_carrier(X1))
| ~ sP0(X2,X1,X3) )
| ~ spl27_147
| ~ spl27_172 ),
inference(resolution,[],[f1284,f1082]) ).
fof(f4188,plain,
( spl27_419
| ~ spl27_148
| ~ spl27_171 ),
inference(avatar_split_clause,[],[f1328,f1279,f1085,f4186]) ).
fof(f4186,plain,
( spl27_419
<=> ! [X2,X3,X4,X0,X5,X1] :
( element(apply_netmap(X0,X1,sK14(X2,X1,X3,sK15(sK20(X4,X5),X1,X0))),cartesian_product2(X4,X5))
| ~ element(sK14(X2,X1,X3,sK15(sK20(X4,X5),X1,X0)),the_carrier(X1))
| ~ sP2(sK20(X4,X5),X1,X0)
| sP2(X2,X1,X3)
| ~ element(sK15(sK20(X4,X5),X1,X0),the_carrier(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_419])]) ).
fof(f1328,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( element(apply_netmap(X0,X1,sK14(X2,X1,X3,sK15(sK20(X4,X5),X1,X0))),cartesian_product2(X4,X5))
| ~ element(sK14(X2,X1,X3,sK15(sK20(X4,X5),X1,X0)),the_carrier(X1))
| ~ sP2(sK20(X4,X5),X1,X0)
| sP2(X2,X1,X3)
| ~ element(sK15(sK20(X4,X5),X1,X0),the_carrier(X1)) )
| ~ spl27_148
| ~ spl27_171 ),
inference(resolution,[],[f1280,f1086]) ).
fof(f4184,plain,
( spl27_418
| ~ spl27_147
| ~ spl27_171 ),
inference(avatar_split_clause,[],[f1327,f1279,f1081,f4182]) ).
fof(f4182,plain,
( spl27_418
<=> ! [X2,X3,X4,X0,X5,X1] :
( element(apply_netmap(X0,X1,sK13(X2,X1,X3,sK15(sK20(X4,X5),X1,X0))),cartesian_product2(X4,X5))
| ~ element(sK13(X2,X1,X3,sK15(sK20(X4,X5),X1,X0)),the_carrier(X1))
| ~ sP2(sK20(X4,X5),X1,X0)
| ~ element(sK15(sK20(X4,X5),X1,X0),the_carrier(X1))
| ~ sP0(X2,X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_418])]) ).
fof(f1327,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( element(apply_netmap(X0,X1,sK13(X2,X1,X3,sK15(sK20(X4,X5),X1,X0))),cartesian_product2(X4,X5))
| ~ element(sK13(X2,X1,X3,sK15(sK20(X4,X5),X1,X0)),the_carrier(X1))
| ~ sP2(sK20(X4,X5),X1,X0)
| ~ element(sK15(sK20(X4,X5),X1,X0),the_carrier(X1))
| ~ sP0(X2,X1,X3) )
| ~ spl27_147
| ~ spl27_171 ),
inference(resolution,[],[f1280,f1082]) ).
fof(f4177,plain,
( spl27_417
| ~ spl27_82
| ~ spl27_195 ),
inference(avatar_split_clause,[],[f1489,f1481,f653,f4175]) ).
fof(f1489,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK16(X0),X2,X3)
| apply_netmap(X4,X0,apply_netmap(X3,X2,sK13(sK16(X0),X2,X3,X1))) = apply_on_structs(X0,X4,the_mapping(X4,X0),apply_netmap(X3,X2,sK13(sK16(X0),X2,X3,X1)))
| ~ net_str(X0,X4)
| ~ one_sorted_str(X4)
| empty_carrier(X4) )
| ~ spl27_82
| ~ spl27_195 ),
inference(duplicate_literal_removal,[],[f1486]) ).
fof(f1486,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK16(X0),X2,X3)
| apply_netmap(X4,X0,apply_netmap(X3,X2,sK13(sK16(X0),X2,X3,X1))) = apply_on_structs(X0,X4,the_mapping(X4,X0),apply_netmap(X3,X2,sK13(sK16(X0),X2,X3,X1)))
| ~ net_str(X0,X4)
| empty_carrier(X0)
| ~ one_sorted_str(X4)
| empty_carrier(X4) )
| ~ spl27_82
| ~ spl27_195 ),
inference(resolution,[],[f1482,f654]) ).
fof(f4158,plain,
( spl27_416
| ~ spl27_34
| ~ spl27_225 ),
inference(avatar_split_clause,[],[f1704,f1695,f392,f4156]) ).
fof(f1695,plain,
( spl27_225
<=> ! [X2,X4,X0,X3,X1] :
( ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK12(X3,X2,X4))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK12(X3,X2,X4)))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP0(X3,X2,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_225])]) ).
fof(f1704,plain,
( ! [X2,X3,X0,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,sK11(X0),sK12(X2,sK11(X0),X3))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,sK11(X0),sK12(X2,sK11(X0),X3)))
| ~ net_str(X0,X1)
| empty_carrier(sK11(X0))
| ~ one_sorted_str(X0)
| sP0(X2,sK11(X0),X3) )
| ~ spl27_34
| ~ spl27_225 ),
inference(duplicate_literal_removal,[],[f1703]) ).
fof(f1703,plain,
( ! [X2,X3,X0,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,sK11(X0),sK12(X2,sK11(X0),X3))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,sK11(X0),sK12(X2,sK11(X0),X3)))
| ~ net_str(X0,X1)
| empty_carrier(sK11(X0))
| ~ one_sorted_str(X0)
| sP0(X2,sK11(X0),X3)
| ~ one_sorted_str(X0) )
| ~ spl27_34
| ~ spl27_225 ),
inference(resolution,[],[f1696,f393]) ).
fof(f1696,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ net_str(X2,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK12(X3,X2,X4))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK12(X3,X2,X4)))
| ~ net_str(X0,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP0(X3,X2,X4) )
| ~ spl27_225 ),
inference(avatar_component_clause,[],[f1695]) ).
fof(f4154,plain,
( spl27_415
| ~ spl27_144
| ~ spl27_166 ),
inference(avatar_split_clause,[],[f1319,f1254,f1059,f4152]) ).
fof(f1319,plain,
( ! [X2,X0,X1] :
( empty(the_carrier(X0))
| empty(sK10(the_carrier(X0)))
| ~ net_str(X1,X2)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| apply_netmap(X2,X1,apply_netmap(X1,X0,sK17(sK10(the_carrier(X0))))) = apply_on_structs(X1,X2,the_mapping(X2,X1),apply_netmap(X1,X0,sK17(sK10(the_carrier(X0)))))
| ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1) )
| ~ spl27_144
| ~ spl27_166 ),
inference(resolution,[],[f1255,f1060]) ).
fof(f4150,plain,
( spl27_414
| ~ spl27_144
| ~ spl27_165 ),
inference(avatar_split_clause,[],[f1307,f1250,f1059,f4148]) ).
fof(f1307,plain,
( ! [X2,X0,X1] :
( empty(the_carrier(X0))
| empty(sK9(the_carrier(X0)))
| ~ net_str(X1,X2)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| apply_netmap(X2,X1,apply_netmap(X1,X0,sK17(sK9(the_carrier(X0))))) = apply_on_structs(X1,X2,the_mapping(X2,X1),apply_netmap(X1,X0,sK17(sK9(the_carrier(X0)))))
| ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1) )
| ~ spl27_144
| ~ spl27_165 ),
inference(resolution,[],[f1251,f1060]) ).
fof(f4146,plain,
( spl27_413
| ~ spl27_144
| ~ spl27_164 ),
inference(avatar_split_clause,[],[f1298,f1246,f1059,f4144]) ).
fof(f1298,plain,
( ! [X2,X0,X1] :
( empty(the_carrier(X0))
| empty(sK8(the_carrier(X0)))
| ~ net_str(X1,X2)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| apply_netmap(X2,X1,apply_netmap(X1,X0,sK17(sK8(the_carrier(X0))))) = apply_on_structs(X1,X2,the_mapping(X2,X1),apply_netmap(X1,X0,sK17(sK8(the_carrier(X0)))))
| ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1) )
| ~ spl27_144
| ~ spl27_164 ),
inference(resolution,[],[f1247,f1060]) ).
fof(f4142,plain,
( spl27_412
| ~ spl27_144
| ~ spl27_163 ),
inference(avatar_split_clause,[],[f1290,f1242,f1059,f4140]) ).
fof(f1290,plain,
( ! [X2,X0,X1] :
( empty(sK17(powerset(the_carrier(X0))))
| ~ net_str(X1,X2)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| apply_netmap(X2,X1,apply_netmap(X1,X0,sK17(sK17(powerset(the_carrier(X0)))))) = apply_on_structs(X1,X2,the_mapping(X2,X1),apply_netmap(X1,X0,sK17(sK17(powerset(the_carrier(X0))))))
| ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1) )
| ~ spl27_144
| ~ spl27_163 ),
inference(resolution,[],[f1243,f1060]) ).
fof(f4120,plain,
( spl27_410
| spl27_142
| spl27_411
| ~ spl27_135
| ~ spl27_294 ),
inference(avatar_split_clause,[],[f2409,f2370,f999,f4117,f1037,f4113]) ).
fof(f2409,plain,
( empty(sK9(sK6))
| empty(sK6)
| element(sK17(sK9(sK6)),sK7)
| ~ spl27_135
| ~ spl27_294 ),
inference(resolution,[],[f2371,f1000]) ).
fof(f4081,plain,
( spl27_409
| ~ spl27_60
| ~ spl27_218 ),
inference(avatar_split_clause,[],[f1652,f1636,f529,f4079]) ).
fof(f4079,plain,
( spl27_409
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sP2(powerset(X0),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(powerset(X0),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(powerset(X0),X1,X2)),the_carrier(X1))
| element(X5,X0)
| ~ in(X5,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(powerset(X0),X1,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_409])]) ).
fof(f1652,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sP2(powerset(X0),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(powerset(X0),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(powerset(X0),X1,X2)),the_carrier(X1))
| element(X5,X0)
| ~ in(X5,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(powerset(X0),X1,X2)))) )
| ~ spl27_60
| ~ spl27_218 ),
inference(resolution,[],[f1637,f530]) ).
fof(f4077,plain,
( spl27_408
| ~ spl27_60
| ~ spl27_216 ),
inference(avatar_split_clause,[],[f1644,f1625,f529,f4075]) ).
fof(f4075,plain,
( spl27_408
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sP2(powerset(X0),X1,X2)
| ~ element(sK15(powerset(X0),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(powerset(X0),X1,X2)),the_carrier(X1))
| element(X5,X0)
| ~ in(X5,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(powerset(X0),X1,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_408])]) ).
fof(f1644,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sP2(powerset(X0),X1,X2)
| ~ element(sK15(powerset(X0),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(powerset(X0),X1,X2)),the_carrier(X1))
| element(X5,X0)
| ~ in(X5,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(powerset(X0),X1,X2)))) )
| ~ spl27_60
| ~ spl27_216 ),
inference(resolution,[],[f1626,f530]) ).
fof(f4073,plain,
( spl27_407
| ~ spl27_140
| ~ spl27_166 ),
inference(avatar_split_clause,[],[f1320,f1254,f1029,f4071]) ).
fof(f1320,plain,
( ! [X2,X3,X0,X1] :
( empty(the_carrier(X0))
| empty(sK10(the_carrier(X0)))
| ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK17(sK10(the_carrier(X0))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK17(sK10(the_carrier(X0))))) )
| ~ spl27_140
| ~ spl27_166 ),
inference(resolution,[],[f1255,f1030]) ).
fof(f4069,plain,
( spl27_406
| ~ spl27_140
| ~ spl27_165 ),
inference(avatar_split_clause,[],[f1308,f1250,f1029,f4067]) ).
fof(f1308,plain,
( ! [X2,X3,X0,X1] :
( empty(the_carrier(X0))
| empty(sK9(the_carrier(X0)))
| ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK17(sK9(the_carrier(X0))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK17(sK9(the_carrier(X0))))) )
| ~ spl27_140
| ~ spl27_165 ),
inference(resolution,[],[f1251,f1030]) ).
fof(f4065,plain,
( spl27_405
| ~ spl27_140
| ~ spl27_164 ),
inference(avatar_split_clause,[],[f1299,f1246,f1029,f4063]) ).
fof(f1299,plain,
( ! [X2,X3,X0,X1] :
( empty(the_carrier(X0))
| empty(sK8(the_carrier(X0)))
| ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK17(sK8(the_carrier(X0))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK17(sK8(the_carrier(X0))))) )
| ~ spl27_140
| ~ spl27_164 ),
inference(resolution,[],[f1247,f1030]) ).
fof(f4061,plain,
( spl27_404
| ~ spl27_140
| ~ spl27_163 ),
inference(avatar_split_clause,[],[f1291,f1242,f1029,f4059]) ).
fof(f1291,plain,
( ! [X2,X3,X0,X1] :
( empty(sK17(powerset(the_carrier(X0))))
| ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK17(sK17(powerset(the_carrier(X0)))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK17(sK17(powerset(the_carrier(X0)))))) )
| ~ spl27_140
| ~ spl27_163 ),
inference(resolution,[],[f1243,f1030]) ).
fof(f3817,plain,
( spl27_403
| ~ spl27_50
| ~ spl27_234 ),
inference(avatar_split_clause,[],[f1791,f1735,f465,f3815]) ).
fof(f1791,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sP2(sK10(X0),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK10(X0),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK10(X0),X1,X2)),the_carrier(X1))
| empty(X0)
| in(apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK10(X0),X1,X2))),X0) )
| ~ spl27_50
| ~ spl27_234 ),
inference(duplicate_literal_removal,[],[f1786]) ).
fof(f1786,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sP2(sK10(X0),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK10(X0),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK10(X0),X1,X2)),the_carrier(X1))
| empty(X0)
| empty(X0)
| in(apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK10(X0),X1,X2))),X0) )
| ~ spl27_50
| ~ spl27_234 ),
inference(resolution,[],[f1736,f466]) ).
fof(f3813,plain,
( ~ spl27_402
| ~ spl27_35
| ~ spl27_388 ),
inference(avatar_split_clause,[],[f3776,f3682,f396,f3810]) ).
fof(f3810,plain,
( spl27_402
<=> in(sK7,sK17(sK8(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_402])]) ).
fof(f3682,plain,
( spl27_388
<=> in(sK17(sK8(sK6)),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_388])]) ).
fof(f3776,plain,
( ~ in(sK7,sK17(sK8(sK6)))
| ~ spl27_35
| ~ spl27_388 ),
inference(resolution,[],[f3684,f397]) ).
fof(f3684,plain,
( in(sK17(sK8(sK6)),sK7)
| ~ spl27_388 ),
inference(avatar_component_clause,[],[f3682]) ).
fof(f3808,plain,
( spl27_401
| ~ spl27_50
| ~ spl27_233 ),
inference(avatar_split_clause,[],[f1782,f1731,f465,f3806]) ).
fof(f1782,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sP2(sK9(X0),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK9(X0),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK9(X0),X1,X2)),the_carrier(X1))
| empty(X0)
| in(apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK9(X0),X1,X2))),X0) )
| ~ spl27_50
| ~ spl27_233 ),
inference(duplicate_literal_removal,[],[f1777]) ).
fof(f1777,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sP2(sK9(X0),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK9(X0),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK9(X0),X1,X2)),the_carrier(X1))
| empty(X0)
| empty(X0)
| in(apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK9(X0),X1,X2))),X0) )
| ~ spl27_50
| ~ spl27_233 ),
inference(resolution,[],[f1732,f466]) ).
fof(f3804,plain,
( spl27_400
| ~ spl27_50
| ~ spl27_232 ),
inference(avatar_split_clause,[],[f1773,f1727,f465,f3802]) ).
fof(f1773,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sP2(sK8(X0),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK8(X0),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK8(X0),X1,X2)),the_carrier(X1))
| empty(X0)
| in(apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK8(X0),X1,X2))),X0) )
| ~ spl27_50
| ~ spl27_232 ),
inference(duplicate_literal_removal,[],[f1768]) ).
fof(f1768,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sP2(sK8(X0),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK8(X0),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(sK8(X0),X1,X2)),the_carrier(X1))
| empty(X0)
| empty(X0)
| in(apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(sK8(X0),X1,X2))),X0) )
| ~ spl27_50
| ~ spl27_232 ),
inference(resolution,[],[f1728,f466]) ).
fof(f3800,plain,
( spl27_399
| ~ spl27_50
| ~ spl27_231 ),
inference(avatar_split_clause,[],[f1764,f1723,f465,f3798]) ).
fof(f1764,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sP2(sK10(X0),X1,X2)
| ~ element(sK15(sK10(X0),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK10(X0),X1,X2)),the_carrier(X1))
| empty(X0)
| in(apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK10(X0),X1,X2))),X0) )
| ~ spl27_50
| ~ spl27_231 ),
inference(duplicate_literal_removal,[],[f1759]) ).
fof(f1759,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sP2(sK10(X0),X1,X2)
| ~ element(sK15(sK10(X0),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK10(X0),X1,X2)),the_carrier(X1))
| empty(X0)
| empty(X0)
| in(apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK10(X0),X1,X2))),X0) )
| ~ spl27_50
| ~ spl27_231 ),
inference(resolution,[],[f1724,f466]) ).
fof(f3796,plain,
( spl27_398
| ~ spl27_50
| ~ spl27_230 ),
inference(avatar_split_clause,[],[f1755,f1719,f465,f3794]) ).
fof(f1755,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sP2(sK9(X0),X1,X2)
| ~ element(sK15(sK9(X0),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK9(X0),X1,X2)),the_carrier(X1))
| empty(X0)
| in(apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK9(X0),X1,X2))),X0) )
| ~ spl27_50
| ~ spl27_230 ),
inference(duplicate_literal_removal,[],[f1750]) ).
fof(f1750,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sP2(sK9(X0),X1,X2)
| ~ element(sK15(sK9(X0),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK9(X0),X1,X2)),the_carrier(X1))
| empty(X0)
| empty(X0)
| in(apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK9(X0),X1,X2))),X0) )
| ~ spl27_50
| ~ spl27_230 ),
inference(resolution,[],[f1720,f466]) ).
fof(f3792,plain,
( spl27_397
| ~ spl27_50
| ~ spl27_229 ),
inference(avatar_split_clause,[],[f1746,f1715,f465,f3790]) ).
fof(f1746,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sP2(sK8(X0),X1,X2)
| ~ element(sK15(sK8(X0),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK8(X0),X1,X2)),the_carrier(X1))
| empty(X0)
| in(apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK8(X0),X1,X2))),X0) )
| ~ spl27_50
| ~ spl27_229 ),
inference(duplicate_literal_removal,[],[f1741]) ).
fof(f1741,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sP2(sK8(X0),X1,X2)
| ~ element(sK15(sK8(X0),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(sK8(X0),X1,X2)),the_carrier(X1))
| empty(X0)
| empty(X0)
| in(apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(sK8(X0),X1,X2))),X0) )
| ~ spl27_50
| ~ spl27_229 ),
inference(resolution,[],[f1716,f466]) ).
fof(f3788,plain,
( spl27_396
| ~ spl27_56
| ~ spl27_218 ),
inference(avatar_split_clause,[],[f1651,f1636,f505,f3786]) ).
fof(f3786,plain,
( spl27_396
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sP2(powerset(X0),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(powerset(X0),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(powerset(X0),X1,X2)),the_carrier(X1))
| ~ empty(X0)
| ~ in(X5,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(powerset(X0),X1,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_396])]) ).
fof(f1651,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sP2(powerset(X0),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(powerset(X0),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(powerset(X0),X1,X2)),the_carrier(X1))
| ~ empty(X0)
| ~ in(X5,apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(powerset(X0),X1,X2)))) )
| ~ spl27_56
| ~ spl27_218 ),
inference(resolution,[],[f1637,f506]) ).
fof(f3784,plain,
( spl27_395
| ~ spl27_56
| ~ spl27_216 ),
inference(avatar_split_clause,[],[f1643,f1625,f505,f3782]) ).
fof(f3782,plain,
( spl27_395
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sP2(powerset(X0),X1,X2)
| ~ element(sK15(powerset(X0),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(powerset(X0),X1,X2)),the_carrier(X1))
| ~ empty(X0)
| ~ in(X5,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(powerset(X0),X1,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_395])]) ).
fof(f1643,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sP2(powerset(X0),X1,X2)
| ~ element(sK15(powerset(X0),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(powerset(X0),X1,X2)),the_carrier(X1))
| ~ empty(X0)
| ~ in(X5,apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(powerset(X0),X1,X2)))) )
| ~ spl27_56
| ~ spl27_216 ),
inference(resolution,[],[f1626,f506]) ).
fof(f3780,plain,
( spl27_394
| ~ spl27_49
| ~ spl27_218 ),
inference(avatar_split_clause,[],[f1653,f1636,f461,f3778]) ).
fof(f3778,plain,
( spl27_394
<=> ! [X4,X0,X3,X2,X1] :
( ~ sP2(powerset(X0),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(powerset(X0),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(powerset(X0),X1,X2)),the_carrier(X1))
| finite(apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(powerset(X0),X1,X2))))
| ~ finite(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_394])]) ).
fof(f1653,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sP2(powerset(X0),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(powerset(X0),X1,X2),the_carrier(X1))
| ~ element(sK14(X3,X1,X4,sK15(powerset(X0),X1,X2)),the_carrier(X1))
| finite(apply_netmap(X2,X1,sK14(X3,X1,X4,sK15(powerset(X0),X1,X2))))
| ~ finite(X0) )
| ~ spl27_49
| ~ spl27_218 ),
inference(resolution,[],[f1637,f462]) ).
fof(f3773,plain,
( spl27_393
| ~ spl27_49
| ~ spl27_216 ),
inference(avatar_split_clause,[],[f1645,f1625,f461,f3771]) ).
fof(f3771,plain,
( spl27_393
<=> ! [X4,X0,X3,X2,X1] :
( ~ sP2(powerset(X0),X1,X2)
| ~ element(sK15(powerset(X0),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(powerset(X0),X1,X2)),the_carrier(X1))
| finite(apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(powerset(X0),X1,X2))))
| ~ finite(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_393])]) ).
fof(f1645,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sP2(powerset(X0),X1,X2)
| ~ element(sK15(powerset(X0),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ element(sK13(X3,X1,X4,sK15(powerset(X0),X1,X2)),the_carrier(X1))
| finite(apply_netmap(X2,X1,sK13(X3,X1,X4,sK15(powerset(X0),X1,X2))))
| ~ finite(X0) )
| ~ spl27_49
| ~ spl27_216 ),
inference(resolution,[],[f1626,f462]) ).
fof(f3741,plain,
( spl27_392
| ~ spl27_34
| ~ spl27_213 ),
inference(avatar_split_clause,[],[f1615,f1606,f392,f3739]) ).
fof(f3739,plain,
( spl27_392
<=> ! [X2,X0,X1] :
( empty_carrier(sK11(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,sK11(X0),X2)
| apply_netmap(X0,sK11(X0),sK14(X1,sK11(X0),X2,sK17(the_carrier(sK11(X0))))) = apply_on_structs(sK11(X0),X0,the_mapping(X0,sK11(X0)),sK14(X1,sK11(X0),X2,sK17(the_carrier(sK11(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_392])]) ).
fof(f1606,plain,
( spl27_213
<=> ! [X0,X3,X2,X1] :
( ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK17(the_carrier(X0)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK17(the_carrier(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_213])]) ).
fof(f1615,plain,
( ! [X2,X0,X1] :
( empty_carrier(sK11(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,sK11(X0),X2)
| apply_netmap(X0,sK11(X0),sK14(X1,sK11(X0),X2,sK17(the_carrier(sK11(X0))))) = apply_on_structs(sK11(X0),X0,the_mapping(X0,sK11(X0)),sK14(X1,sK11(X0),X2,sK17(the_carrier(sK11(X0))))) )
| ~ spl27_34
| ~ spl27_213 ),
inference(duplicate_literal_removal,[],[f1614]) ).
fof(f1614,plain,
( ! [X2,X0,X1] :
( empty_carrier(sK11(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,sK11(X0),X2)
| apply_netmap(X0,sK11(X0),sK14(X1,sK11(X0),X2,sK17(the_carrier(sK11(X0))))) = apply_on_structs(sK11(X0),X0,the_mapping(X0,sK11(X0)),sK14(X1,sK11(X0),X2,sK17(the_carrier(sK11(X0)))))
| ~ one_sorted_str(X0) )
| ~ spl27_34
| ~ spl27_213 ),
inference(resolution,[],[f1607,f393]) ).
fof(f1607,plain,
( ! [X2,X3,X0,X1] :
( ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK17(the_carrier(X0)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK17(the_carrier(X0)))) )
| ~ spl27_213 ),
inference(avatar_component_clause,[],[f1606]) ).
fof(f3737,plain,
( spl27_391
| ~ spl27_77
| ~ spl27_193 ),
inference(avatar_split_clause,[],[f1476,f1469,f625,f3735]) ).
fof(f1476,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ element(X0,the_carrier(X1))
| element(apply_netmap(X2,X3,sK13(apply_netmap(X4,X1,sK13(powerset(X5),X1,X4,X0)),X3,X2,X6)),X5)
| ~ sP0(powerset(X5),X1,X4)
| ~ element(X6,the_carrier(X3))
| ~ sP0(apply_netmap(X4,X1,sK13(powerset(X5),X1,X4,X0)),X3,X2) )
| ~ spl27_77
| ~ spl27_193 ),
inference(resolution,[],[f1470,f626]) ).
fof(f3733,plain,
( spl27_390
| ~ spl27_144
| ~ spl27_174 ),
inference(avatar_split_clause,[],[f1355,f1340,f1059,f3731]) ).
fof(f1355,plain,
( ! [X2,X0,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(sK16(X0))
| ~ net_str(X1,X2)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| apply_netmap(X2,X1,apply_netmap(X1,X0,sK17(sK16(X0)))) = apply_on_structs(X1,X2,the_mapping(X2,X1),apply_netmap(X1,X0,sK17(sK16(X0))))
| ~ net_str(X0,X1)
| ~ one_sorted_str(X1) )
| ~ spl27_144
| ~ spl27_174 ),
inference(duplicate_literal_removal,[],[f1348]) ).
fof(f1348,plain,
( ! [X2,X0,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(sK16(X0))
| ~ net_str(X1,X2)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| apply_netmap(X2,X1,apply_netmap(X1,X0,sK17(sK16(X0)))) = apply_on_structs(X1,X2,the_mapping(X2,X1),apply_netmap(X1,X0,sK17(sK16(X0))))
| ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1) )
| ~ spl27_144
| ~ spl27_174 ),
inference(resolution,[],[f1341,f1060]) ).
fof(f3726,plain,
( spl27_389
| ~ spl27_140
| ~ spl27_174 ),
inference(avatar_split_clause,[],[f1354,f1340,f1029,f3724]) ).
fof(f1354,plain,
( ! [X2,X3,X0,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(sK16(X0))
| ~ net_str(X0,X1)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK17(sK16(X0)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK17(sK16(X0)))) )
| ~ spl27_140
| ~ spl27_174 ),
inference(duplicate_literal_removal,[],[f1349]) ).
fof(f1349,plain,
( ! [X2,X3,X0,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(sK16(X0))
| ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK17(sK16(X0)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK17(sK16(X0)))) )
| ~ spl27_140
| ~ spl27_174 ),
inference(resolution,[],[f1341,f1030]) ).
fof(f3685,plain,
( spl27_388
| spl27_123
| ~ spl27_50
| ~ spl27_362 ),
inference(avatar_split_clause,[],[f3616,f3347,f465,f922,f3682]) ).
fof(f3347,plain,
( spl27_362
<=> element(sK17(sK8(sK6)),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_362])]) ).
fof(f3616,plain,
( empty(sK7)
| in(sK17(sK8(sK6)),sK7)
| ~ spl27_50
| ~ spl27_362 ),
inference(resolution,[],[f3349,f466]) ).
fof(f3349,plain,
( element(sK17(sK8(sK6)),sK7)
| ~ spl27_362 ),
inference(avatar_component_clause,[],[f3347]) ).
fof(f3680,plain,
( spl27_387
| ~ spl27_173
| ~ spl27_212 ),
inference(avatar_split_clause,[],[f1602,f1596,f1335,f3678]) ).
fof(f3678,plain,
( spl27_387
<=> ! [X0,X3,X2,X1] :
( empty_carrier(sK11(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,sK11(X0),sK12(sK17(powerset(X1)),sK11(X0),X2)) = apply_on_structs(sK11(X0),X0,the_mapping(X0,sK11(X0)),sK12(sK17(powerset(X1)),sK11(X0),X2))
| ~ element(X3,the_carrier(sK11(X0)))
| ~ empty(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_387])]) ).
fof(f1335,plain,
( spl27_173
<=> ! [X0,X3,X2,X1] :
( ~ empty(X0)
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK17(powerset(X0)),X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_173])]) ).
fof(f1602,plain,
( ! [X2,X3,X0,X1] :
( empty_carrier(sK11(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,sK11(X0),sK12(sK17(powerset(X1)),sK11(X0),X2)) = apply_on_structs(sK11(X0),X0,the_mapping(X0,sK11(X0)),sK12(sK17(powerset(X1)),sK11(X0),X2))
| ~ element(X3,the_carrier(sK11(X0)))
| ~ empty(X1) )
| ~ spl27_173
| ~ spl27_212 ),
inference(resolution,[],[f1597,f1336]) ).
fof(f1336,plain,
( ! [X2,X3,X0,X1] :
( ~ sP0(sK17(powerset(X0)),X2,X3)
| ~ element(X1,the_carrier(X2))
| ~ empty(X0) )
| ~ spl27_173 ),
inference(avatar_component_clause,[],[f1335]) ).
fof(f3673,plain,
( spl27_386
| ~ spl27_34
| ~ spl27_215 ),
inference(avatar_split_clause,[],[f1623,f1618,f392,f3671]) ).
fof(f1618,plain,
( spl27_215
<=> ! [X2,X0,X1] :
( ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK17(the_carrier(X2)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK17(the_carrier(X2))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_215])]) ).
fof(f1623,plain,
( ! [X0,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,sK11(X0),sK17(the_carrier(sK11(X0))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,sK11(X0),sK17(the_carrier(sK11(X0)))))
| ~ net_str(X0,X1)
| empty_carrier(sK11(X0))
| ~ one_sorted_str(X0) )
| ~ spl27_34
| ~ spl27_215 ),
inference(duplicate_literal_removal,[],[f1622]) ).
fof(f1622,plain,
( ! [X0,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,sK11(X0),sK17(the_carrier(sK11(X0))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,sK11(X0),sK17(the_carrier(sK11(X0)))))
| ~ net_str(X0,X1)
| empty_carrier(sK11(X0))
| ~ one_sorted_str(X0)
| ~ one_sorted_str(X0) )
| ~ spl27_34
| ~ spl27_215 ),
inference(resolution,[],[f1619,f393]) ).
fof(f1619,plain,
( ! [X2,X0,X1] :
( ~ net_str(X2,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK17(the_carrier(X2)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK17(the_carrier(X2))))
| ~ net_str(X0,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X0) )
| ~ spl27_215 ),
inference(avatar_component_clause,[],[f1618]) ).
fof(f3667,plain,
( spl27_385
| ~ spl27_62
| ~ spl27_212 ),
inference(avatar_split_clause,[],[f1601,f1596,f552,f3665]) ).
fof(f3665,plain,
( spl27_385
<=> ! [X2,X0,X1] :
( empty_carrier(sK11(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,sK11(X0),sK12(X1,sK11(X0),X2)) = apply_on_structs(sK11(X0),X0,the_mapping(X0,sK11(X0)),sK12(X1,sK11(X0),X2))
| is_often_in(X2,sK11(X0),X1)
| ~ sP1(X2,sK11(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_385])]) ).
fof(f1601,plain,
( ! [X2,X0,X1] :
( empty_carrier(sK11(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,sK11(X0),sK12(X1,sK11(X0),X2)) = apply_on_structs(sK11(X0),X0,the_mapping(X0,sK11(X0)),sK12(X1,sK11(X0),X2))
| is_often_in(X2,sK11(X0),X1)
| ~ sP1(X2,sK11(X0)) )
| ~ spl27_62
| ~ spl27_212 ),
inference(resolution,[],[f1597,f553]) ).
fof(f3626,plain,
( spl27_384
| ~ spl27_117
| ~ spl27_212 ),
inference(avatar_split_clause,[],[f1600,f1596,f875,f3624]) ).
fof(f3624,plain,
( spl27_384
<=> ! [X0,X3,X2,X1] :
( empty_carrier(sK11(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,sK11(X0),sK12(X1,sK11(X0),X2)) = apply_on_structs(sK11(X0),X0,the_mapping(X0,sK11(X0)),sK12(X1,sK11(X0),X2))
| ~ element(X3,the_carrier(sK11(X0)))
| ~ empty(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_384])]) ).
fof(f1600,plain,
( ! [X2,X3,X0,X1] :
( empty_carrier(sK11(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,sK11(X0),sK12(X1,sK11(X0),X2)) = apply_on_structs(sK11(X0),X0,the_mapping(X0,sK11(X0)),sK12(X1,sK11(X0),X2))
| ~ element(X3,the_carrier(sK11(X0)))
| ~ empty(X1) )
| ~ spl27_117
| ~ spl27_212 ),
inference(resolution,[],[f1597,f876]) ).
fof(f3613,plain,
( spl27_383
| ~ spl27_148
| ~ spl27_162 ),
inference(avatar_split_clause,[],[f1239,f1230,f1085,f3611]) ).
fof(f1230,plain,
( spl27_162
<=> ! [X2,X0,X1] :
( ~ empty(cartesian_product2(X0,X1))
| ~ in(X2,sK19(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_162])]) ).
fof(f1239,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ empty(cartesian_product2(X0,X1))
| ~ element(sK14(X2,X3,X4,sK15(sK19(X0,X1),X3,X5)),the_carrier(X3))
| ~ sP2(sK19(X0,X1),X3,X5)
| sP2(X2,X3,X4)
| ~ element(sK15(sK19(X0,X1),X3,X5),the_carrier(X3)) )
| ~ spl27_148
| ~ spl27_162 ),
inference(resolution,[],[f1231,f1086]) ).
fof(f1231,plain,
( ! [X2,X0,X1] :
( ~ in(X2,sK19(X0,X1))
| ~ empty(cartesian_product2(X0,X1)) )
| ~ spl27_162 ),
inference(avatar_component_clause,[],[f1230]) ).
fof(f3609,plain,
( spl27_382
| ~ spl27_147
| ~ spl27_162 ),
inference(avatar_split_clause,[],[f1238,f1230,f1081,f3607]) ).
fof(f1238,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ empty(cartesian_product2(X0,X1))
| ~ element(sK13(X2,X3,X4,sK15(sK19(X0,X1),X3,X5)),the_carrier(X3))
| ~ sP2(sK19(X0,X1),X3,X5)
| ~ element(sK15(sK19(X0,X1),X3,X5),the_carrier(X3))
| ~ sP0(X2,X3,X4) )
| ~ spl27_147
| ~ spl27_162 ),
inference(resolution,[],[f1231,f1082]) ).
fof(f3605,plain,
( spl27_381
| ~ spl27_148
| ~ spl27_160 ),
inference(avatar_split_clause,[],[f1235,f1212,f1085,f3603]) ).
fof(f1212,plain,
( spl27_160
<=> ! [X2,X0,X1] :
( ~ empty(cartesian_product2(X0,X1))
| ~ in(X2,sK20(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_160])]) ).
fof(f1235,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ empty(cartesian_product2(X0,X1))
| ~ element(sK14(X2,X3,X4,sK15(sK20(X0,X1),X3,X5)),the_carrier(X3))
| ~ sP2(sK20(X0,X1),X3,X5)
| sP2(X2,X3,X4)
| ~ element(sK15(sK20(X0,X1),X3,X5),the_carrier(X3)) )
| ~ spl27_148
| ~ spl27_160 ),
inference(resolution,[],[f1213,f1086]) ).
fof(f1213,plain,
( ! [X2,X0,X1] :
( ~ in(X2,sK20(X0,X1))
| ~ empty(cartesian_product2(X0,X1)) )
| ~ spl27_160 ),
inference(avatar_component_clause,[],[f1212]) ).
fof(f3601,plain,
( spl27_380
| ~ spl27_147
| ~ spl27_160 ),
inference(avatar_split_clause,[],[f1234,f1212,f1081,f3599]) ).
fof(f1234,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ empty(cartesian_product2(X0,X1))
| ~ element(sK13(X2,X3,X4,sK15(sK20(X0,X1),X3,X5)),the_carrier(X3))
| ~ sP2(sK20(X0,X1),X3,X5)
| ~ element(sK15(sK20(X0,X1),X3,X5),the_carrier(X3))
| ~ sP0(X2,X3,X4) )
| ~ spl27_147
| ~ spl27_160 ),
inference(resolution,[],[f1213,f1082]) ).
fof(f3560,plain,
( spl27_379
| ~ spl27_156
| ~ spl27_212 ),
inference(avatar_split_clause,[],[f1603,f1596,f1185,f3558]) ).
fof(f3558,plain,
( spl27_379
<=> ! [X2,X0,X1] :
( empty_carrier(sK11(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,sK11(X0),sK12(sK24,sK11(X0),X1)) = apply_on_structs(sK11(X0),X0,the_mapping(X0,sK11(X0)),sK12(sK24,sK11(X0),X1))
| ~ element(X2,the_carrier(sK11(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_379])]) ).
fof(f1603,plain,
( ! [X2,X0,X1] :
( empty_carrier(sK11(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,sK11(X0),sK12(sK24,sK11(X0),X1)) = apply_on_structs(sK11(X0),X0,the_mapping(X0,sK11(X0)),sK12(sK24,sK11(X0),X1))
| ~ element(X2,the_carrier(sK11(X0))) )
| ~ spl27_156
| ~ spl27_212 ),
inference(resolution,[],[f1597,f1186]) ).
fof(f3544,plain,
( spl27_378
| ~ spl27_82
| ~ spl27_166 ),
inference(avatar_split_clause,[],[f1321,f1254,f653,f3542]) ).
fof(f1321,plain,
( ! [X0,X1] :
( empty(the_carrier(X0))
| empty(sK10(the_carrier(X0)))
| apply_netmap(X1,X0,sK17(sK10(the_carrier(X0)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK17(sK10(the_carrier(X0))))
| ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1) )
| ~ spl27_82
| ~ spl27_166 ),
inference(resolution,[],[f1255,f654]) ).
fof(f3540,plain,
( spl27_377
| ~ spl27_82
| ~ spl27_165 ),
inference(avatar_split_clause,[],[f1309,f1250,f653,f3538]) ).
fof(f1309,plain,
( ! [X0,X1] :
( empty(the_carrier(X0))
| empty(sK9(the_carrier(X0)))
| apply_netmap(X1,X0,sK17(sK9(the_carrier(X0)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK17(sK9(the_carrier(X0))))
| ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1) )
| ~ spl27_82
| ~ spl27_165 ),
inference(resolution,[],[f1251,f654]) ).
fof(f3536,plain,
( spl27_376
| ~ spl27_82
| ~ spl27_164 ),
inference(avatar_split_clause,[],[f1300,f1246,f653,f3534]) ).
fof(f1300,plain,
( ! [X0,X1] :
( empty(the_carrier(X0))
| empty(sK8(the_carrier(X0)))
| apply_netmap(X1,X0,sK17(sK8(the_carrier(X0)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK17(sK8(the_carrier(X0))))
| ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1) )
| ~ spl27_82
| ~ spl27_164 ),
inference(resolution,[],[f1247,f654]) ).
fof(f3532,plain,
( spl27_375
| ~ spl27_82
| ~ spl27_163 ),
inference(avatar_split_clause,[],[f1292,f1242,f653,f3530]) ).
fof(f1292,plain,
( ! [X0,X1] :
( empty(sK17(powerset(the_carrier(X0))))
| apply_netmap(X1,X0,sK17(sK17(powerset(the_carrier(X0))))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK17(sK17(powerset(the_carrier(X0)))))
| ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1) )
| ~ spl27_82
| ~ spl27_163 ),
inference(resolution,[],[f1243,f654]) ).
fof(f3525,plain,
( spl27_374
| ~ spl27_71
| ~ spl27_220 ),
inference(avatar_split_clause,[],[f1664,f1660,f598,f3523]) ).
fof(f3523,plain,
( spl27_374
<=> ! [X2,X0,X1] :
( ~ net_str(X0,X1)
| ~ element(X2,the_carrier(X0))
| apply_on_structs(X0,X1,the_mapping(X1,X0),X2) = apply(the_mapping(X1,X0),X2)
| ~ one_sorted_str(X1)
| ~ function(the_mapping(X1,X0))
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_374])]) ).
fof(f1660,plain,
( spl27_220
<=> ! [X2,X0,X1] :
( ~ one_sorted_str(X0)
| ~ net_str(X1,X0)
| ~ element(X2,the_carrier(X1))
| apply_on_structs(X1,X0,the_mapping(X0,X1),X2) = apply(the_mapping(X0,X1),X2)
| ~ quasi_total(the_mapping(X0,X1),the_carrier(X1),the_carrier(X0))
| ~ function(the_mapping(X0,X1))
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_220])]) ).
fof(f1664,plain,
( ! [X2,X0,X1] :
( ~ net_str(X0,X1)
| ~ element(X2,the_carrier(X0))
| apply_on_structs(X0,X1,the_mapping(X1,X0),X2) = apply(the_mapping(X1,X0),X2)
| ~ one_sorted_str(X1)
| ~ function(the_mapping(X1,X0))
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) )
| ~ spl27_71
| ~ spl27_220 ),
inference(duplicate_literal_removal,[],[f1663]) ).
fof(f1663,plain,
( ! [X2,X0,X1] :
( ~ net_str(X0,X1)
| ~ element(X2,the_carrier(X0))
| apply_on_structs(X0,X1,the_mapping(X1,X0),X2) = apply(the_mapping(X1,X0),X2)
| ~ one_sorted_str(X1)
| ~ function(the_mapping(X1,X0))
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ net_str(X0,X1)
| ~ one_sorted_str(X1) )
| ~ spl27_71
| ~ spl27_220 ),
inference(resolution,[],[f1661,f599]) ).
fof(f1661,plain,
( ! [X2,X0,X1] :
( ~ quasi_total(the_mapping(X0,X1),the_carrier(X1),the_carrier(X0))
| ~ net_str(X1,X0)
| ~ element(X2,the_carrier(X1))
| apply_on_structs(X1,X0,the_mapping(X0,X1),X2) = apply(the_mapping(X0,X1),X2)
| ~ one_sorted_str(X0)
| ~ function(the_mapping(X0,X1))
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1) )
| ~ spl27_220 ),
inference(avatar_component_clause,[],[f1660]) ).
fof(f3503,plain,
( spl27_373
| ~ spl27_95
| ~ spl27_193 ),
inference(avatar_split_clause,[],[f1479,f1469,f760,f3501]) ).
fof(f1479,plain,
( ! [X2,X3,X0,X1] :
( ~ element(X0,the_carrier(X1))
| element(sK17(apply_netmap(X2,X1,sK13(powerset(X3),X1,X2,X0))),X3)
| ~ sP0(powerset(X3),X1,X2)
| empty(apply_netmap(X2,X1,sK13(powerset(X3),X1,X2,X0))) )
| ~ spl27_95
| ~ spl27_193 ),
inference(resolution,[],[f1470,f761]) ).
fof(f3496,plain,
( spl27_142
| ~ spl27_25
| ~ spl27_363 ),
inference(avatar_split_clause,[],[f3426,f3351,f351,f1037]) ).
fof(f351,plain,
( spl27_25
<=> ! [X0] :
( ~ empty(sK8(X0))
| empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_25])]) ).
fof(f3351,plain,
( spl27_363
<=> empty(sK8(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_363])]) ).
fof(f3426,plain,
( empty(sK6)
| ~ spl27_25
| ~ spl27_363 ),
inference(resolution,[],[f3353,f352]) ).
fof(f352,plain,
( ! [X0] :
( ~ empty(sK8(X0))
| empty(X0) )
| ~ spl27_25 ),
inference(avatar_component_clause,[],[f351]) ).
fof(f3353,plain,
( empty(sK8(sK6))
| ~ spl27_363 ),
inference(avatar_component_clause,[],[f3351]) ).
fof(f3495,plain,
( spl27_372
| ~ spl27_82
| ~ spl27_174 ),
inference(avatar_split_clause,[],[f1353,f1340,f653,f3493]) ).
fof(f1353,plain,
( ! [X0,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(sK16(X0))
| apply_netmap(X1,X0,sK17(sK16(X0))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK17(sK16(X0)))
| ~ net_str(X0,X1)
| ~ one_sorted_str(X1)
| empty_carrier(X1) )
| ~ spl27_82
| ~ spl27_174 ),
inference(duplicate_literal_removal,[],[f1350]) ).
fof(f1350,plain,
( ! [X0,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(sK16(X0))
| apply_netmap(X1,X0,sK17(sK16(X0))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK17(sK16(X0)))
| ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1) )
| ~ spl27_82
| ~ spl27_174 ),
inference(resolution,[],[f1341,f654]) ).
fof(f3487,plain,
( spl27_371
| ~ spl27_75
| ~ spl27_222 ),
inference(avatar_split_clause,[],[f1681,f1675,f615,f3485]) ).
fof(f1675,plain,
( spl27_222
<=> ! [X0,X3,X2,X1] :
( sP0(the_carrier(X0),X1,X0)
| ~ element(sK14(X2,X1,X3,sK12(the_carrier(X0),X1,X0)),the_carrier(X1))
| sP2(X2,X1,X3)
| ~ element(sK12(the_carrier(X0),X1,X0),the_carrier(X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(the_carrier(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_222])]) ).
fof(f1681,plain,
( ! [X2,X3,X0,X1] :
( sP0(the_carrier(X0),X1,X0)
| sP2(X2,X1,X3)
| ~ element(sK12(the_carrier(X0),X1,X0),the_carrier(X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(the_carrier(X0)) )
| ~ spl27_75
| ~ spl27_222 ),
inference(duplicate_literal_removal,[],[f1680]) ).
fof(f1680,plain,
( ! [X2,X3,X0,X1] :
( sP0(the_carrier(X0),X1,X0)
| sP2(X2,X1,X3)
| ~ element(sK12(the_carrier(X0),X1,X0),the_carrier(X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(the_carrier(X0))
| sP2(X2,X1,X3)
| ~ element(sK12(the_carrier(X0),X1,X0),the_carrier(X1)) )
| ~ spl27_75
| ~ spl27_222 ),
inference(resolution,[],[f1676,f616]) ).
fof(f1676,plain,
( ! [X2,X3,X0,X1] :
( ~ element(sK14(X2,X1,X3,sK12(the_carrier(X0),X1,X0)),the_carrier(X1))
| sP0(the_carrier(X0),X1,X0)
| sP2(X2,X1,X3)
| ~ element(sK12(the_carrier(X0),X1,X0),the_carrier(X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(the_carrier(X0)) )
| ~ spl27_222 ),
inference(avatar_component_clause,[],[f1675]) ).
fof(f3483,plain,
( spl27_370
| ~ spl27_73
| ~ spl27_221 ),
inference(avatar_split_clause,[],[f1679,f1666,f607,f3481]) ).
fof(f1666,plain,
( spl27_221
<=> ! [X0,X3,X2,X1] :
( sP0(the_carrier(X0),X1,X0)
| ~ element(sK13(X2,X1,X3,sK12(the_carrier(X0),X1,X0)),the_carrier(X1))
| ~ element(sK12(the_carrier(X0),X1,X0),the_carrier(X1))
| ~ sP0(X2,X1,X3)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(the_carrier(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_221])]) ).
fof(f1679,plain,
( ! [X2,X3,X0,X1] :
( sP0(the_carrier(X0),X1,X0)
| ~ element(sK12(the_carrier(X0),X1,X0),the_carrier(X1))
| ~ sP0(X2,X1,X3)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(the_carrier(X0)) )
| ~ spl27_73
| ~ spl27_221 ),
inference(duplicate_literal_removal,[],[f1678]) ).
fof(f1678,plain,
( ! [X2,X3,X0,X1] :
( sP0(the_carrier(X0),X1,X0)
| ~ element(sK12(the_carrier(X0),X1,X0),the_carrier(X1))
| ~ sP0(X2,X1,X3)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(the_carrier(X0))
| ~ element(sK12(the_carrier(X0),X1,X0),the_carrier(X1))
| ~ sP0(X2,X1,X3) )
| ~ spl27_73
| ~ spl27_221 ),
inference(resolution,[],[f1667,f608]) ).
fof(f1667,plain,
( ! [X2,X3,X0,X1] :
( ~ element(sK13(X2,X1,X3,sK12(the_carrier(X0),X1,X0)),the_carrier(X1))
| sP0(the_carrier(X0),X1,X0)
| ~ element(sK12(the_carrier(X0),X1,X0),the_carrier(X1))
| ~ sP0(X2,X1,X3)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(the_carrier(X0)) )
| ~ spl27_221 ),
inference(avatar_component_clause,[],[f1666]) ).
fof(f3438,plain,
( spl27_369
| ~ spl27_50
| ~ spl27_195 ),
inference(avatar_split_clause,[],[f1488,f1481,f465,f3436]) ).
fof(f3436,plain,
( spl27_369
<=> ! [X0,X3,X2,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK16(X0),X2,X3)
| empty(the_carrier(X0))
| in(apply_netmap(X3,X2,sK13(sK16(X0),X2,X3,X1)),the_carrier(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_369])]) ).
fof(f1488,plain,
( ! [X2,X3,X0,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK16(X0),X2,X3)
| empty(the_carrier(X0))
| in(apply_netmap(X3,X2,sK13(sK16(X0),X2,X3,X1)),the_carrier(X0)) )
| ~ spl27_50
| ~ spl27_195 ),
inference(resolution,[],[f1482,f466]) ).
fof(f3425,plain,
( spl27_368
| ~ spl27_60
| ~ spl27_190 ),
inference(avatar_split_clause,[],[f1451,f1417,f529,f3423]) ).
fof(f3423,plain,
( spl27_368
<=> ! [X4,X0,X3,X2,X1] :
( empty(powerset(X0))
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK10(powerset(X0)),X2,X3)
| element(X4,X0)
| ~ in(X4,apply_netmap(X3,X2,sK13(sK10(powerset(X0)),X2,X3,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_368])]) ).
fof(f1451,plain,
( ! [X2,X3,X0,X1,X4] :
( empty(powerset(X0))
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK10(powerset(X0)),X2,X3)
| element(X4,X0)
| ~ in(X4,apply_netmap(X3,X2,sK13(sK10(powerset(X0)),X2,X3,X1))) )
| ~ spl27_60
| ~ spl27_190 ),
inference(resolution,[],[f1418,f530]) ).
fof(f3421,plain,
( spl27_367
| ~ spl27_60
| ~ spl27_189 ),
inference(avatar_split_clause,[],[f1442,f1413,f529,f3419]) ).
fof(f3419,plain,
( spl27_367
<=> ! [X4,X0,X3,X2,X1] :
( empty(powerset(X0))
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK9(powerset(X0)),X2,X3)
| element(X4,X0)
| ~ in(X4,apply_netmap(X3,X2,sK13(sK9(powerset(X0)),X2,X3,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_367])]) ).
fof(f1442,plain,
( ! [X2,X3,X0,X1,X4] :
( empty(powerset(X0))
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK9(powerset(X0)),X2,X3)
| element(X4,X0)
| ~ in(X4,apply_netmap(X3,X2,sK13(sK9(powerset(X0)),X2,X3,X1))) )
| ~ spl27_60
| ~ spl27_189 ),
inference(resolution,[],[f1414,f530]) ).
fof(f3417,plain,
( spl27_366
| ~ spl27_60
| ~ spl27_188 ),
inference(avatar_split_clause,[],[f1433,f1409,f529,f3415]) ).
fof(f3415,plain,
( spl27_366
<=> ! [X4,X0,X3,X2,X1] :
( empty(powerset(X0))
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK8(powerset(X0)),X2,X3)
| element(X4,X0)
| ~ in(X4,apply_netmap(X3,X2,sK13(sK8(powerset(X0)),X2,X3,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_366])]) ).
fof(f1433,plain,
( ! [X2,X3,X0,X1,X4] :
( empty(powerset(X0))
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK8(powerset(X0)),X2,X3)
| element(X4,X0)
| ~ in(X4,apply_netmap(X3,X2,sK13(sK8(powerset(X0)),X2,X3,X1))) )
| ~ spl27_60
| ~ spl27_188 ),
inference(resolution,[],[f1410,f530]) ).
fof(f3362,plain,
( spl27_365
| ~ spl27_77
| ~ spl27_191 ),
inference(avatar_split_clause,[],[f1460,f1421,f625,f3360]) ).
fof(f3360,plain,
( spl27_365
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ element(X0,the_carrier(X1))
| ~ empty(X2)
| ~ sP0(powerset(X2),X1,X3)
| ~ element(X4,the_carrier(X5))
| ~ sP0(apply_netmap(X3,X1,sK13(powerset(X2),X1,X3,X0)),X5,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_365])]) ).
fof(f1460,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ element(X0,the_carrier(X1))
| ~ empty(X2)
| ~ sP0(powerset(X2),X1,X3)
| ~ element(X4,the_carrier(X5))
| ~ sP0(apply_netmap(X3,X1,sK13(powerset(X2),X1,X3,X0)),X5,X6) )
| ~ spl27_77
| ~ spl27_191 ),
inference(resolution,[],[f1422,f626]) ).
fof(f3358,plain,
( spl27_364
| ~ spl27_56
| ~ spl27_190 ),
inference(avatar_split_clause,[],[f1450,f1417,f505,f3356]) ).
fof(f1450,plain,
( ! [X2,X3,X0,X1,X4] :
( empty(powerset(X0))
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK10(powerset(X0)),X2,X3)
| ~ empty(X0)
| ~ in(X4,apply_netmap(X3,X2,sK13(sK10(powerset(X0)),X2,X3,X1))) )
| ~ spl27_56
| ~ spl27_190 ),
inference(resolution,[],[f1418,f506]) ).
fof(f3354,plain,
( spl27_362
| spl27_142
| spl27_363
| ~ spl27_135
| ~ spl27_281 ),
inference(avatar_split_clause,[],[f2392,f2257,f999,f3351,f1037,f3347]) ).
fof(f2392,plain,
( empty(sK8(sK6))
| empty(sK6)
| element(sK17(sK8(sK6)),sK7)
| ~ spl27_135
| ~ spl27_281 ),
inference(resolution,[],[f2258,f1000]) ).
fof(f3345,plain,
( spl27_361
| ~ spl27_56
| ~ spl27_189 ),
inference(avatar_split_clause,[],[f1441,f1413,f505,f3343]) ).
fof(f1441,plain,
( ! [X2,X3,X0,X1,X4] :
( empty(powerset(X0))
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK9(powerset(X0)),X2,X3)
| ~ empty(X0)
| ~ in(X4,apply_netmap(X3,X2,sK13(sK9(powerset(X0)),X2,X3,X1))) )
| ~ spl27_56
| ~ spl27_189 ),
inference(resolution,[],[f1414,f506]) ).
fof(f3341,plain,
( spl27_360
| ~ spl27_56
| ~ spl27_188 ),
inference(avatar_split_clause,[],[f1432,f1409,f505,f3339]) ).
fof(f1432,plain,
( ! [X2,X3,X0,X1,X4] :
( empty(powerset(X0))
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK8(powerset(X0)),X2,X3)
| ~ empty(X0)
| ~ in(X4,apply_netmap(X3,X2,sK13(sK8(powerset(X0)),X2,X3,X1))) )
| ~ spl27_56
| ~ spl27_188 ),
inference(resolution,[],[f1410,f506]) ).
fof(f3337,plain,
( spl27_359
| ~ spl27_60
| ~ spl27_187 ),
inference(avatar_split_clause,[],[f1425,f1405,f529,f3335]) ).
fof(f3335,plain,
( spl27_359
<=> ! [X4,X0,X3,X2,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(sK17(powerset(powerset(X2))),X1,X3)
| element(X4,X2)
| ~ in(X4,apply_netmap(X3,X1,sK13(sK17(powerset(powerset(X2))),X1,X3,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_359])]) ).
fof(f1425,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(sK17(powerset(powerset(X2))),X1,X3)
| element(X4,X2)
| ~ in(X4,apply_netmap(X3,X1,sK13(sK17(powerset(powerset(X2))),X1,X3,X0))) )
| ~ spl27_60
| ~ spl27_187 ),
inference(resolution,[],[f1406,f530]) ).
fof(f3321,plain,
( spl27_358
| ~ spl27_49
| ~ spl27_190 ),
inference(avatar_split_clause,[],[f1452,f1417,f461,f3319]) ).
fof(f3319,plain,
( spl27_358
<=> ! [X0,X3,X2,X1] :
( empty(powerset(X0))
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK10(powerset(X0)),X2,X3)
| finite(apply_netmap(X3,X2,sK13(sK10(powerset(X0)),X2,X3,X1)))
| ~ finite(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_358])]) ).
fof(f1452,plain,
( ! [X2,X3,X0,X1] :
( empty(powerset(X0))
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK10(powerset(X0)),X2,X3)
| finite(apply_netmap(X3,X2,sK13(sK10(powerset(X0)),X2,X3,X1)))
| ~ finite(X0) )
| ~ spl27_49
| ~ spl27_190 ),
inference(resolution,[],[f1418,f462]) ).
fof(f3317,plain,
( spl27_357
| ~ spl27_49
| ~ spl27_189 ),
inference(avatar_split_clause,[],[f1443,f1413,f461,f3315]) ).
fof(f3315,plain,
( spl27_357
<=> ! [X0,X3,X2,X1] :
( empty(powerset(X0))
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK9(powerset(X0)),X2,X3)
| finite(apply_netmap(X3,X2,sK13(sK9(powerset(X0)),X2,X3,X1)))
| ~ finite(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_357])]) ).
fof(f1443,plain,
( ! [X2,X3,X0,X1] :
( empty(powerset(X0))
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK9(powerset(X0)),X2,X3)
| finite(apply_netmap(X3,X2,sK13(sK9(powerset(X0)),X2,X3,X1)))
| ~ finite(X0) )
| ~ spl27_49
| ~ spl27_189 ),
inference(resolution,[],[f1414,f462]) ).
fof(f3313,plain,
( spl27_356
| ~ spl27_49
| ~ spl27_188 ),
inference(avatar_split_clause,[],[f1434,f1409,f461,f3311]) ).
fof(f3311,plain,
( spl27_356
<=> ! [X0,X3,X2,X1] :
( empty(powerset(X0))
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK8(powerset(X0)),X2,X3)
| finite(apply_netmap(X3,X2,sK13(sK8(powerset(X0)),X2,X3,X1)))
| ~ finite(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_356])]) ).
fof(f1434,plain,
( ! [X2,X3,X0,X1] :
( empty(powerset(X0))
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK8(powerset(X0)),X2,X3)
| finite(apply_netmap(X3,X2,sK13(sK8(powerset(X0)),X2,X3,X1)))
| ~ finite(X0) )
| ~ spl27_49
| ~ spl27_188 ),
inference(resolution,[],[f1410,f462]) ).
fof(f3294,plain,
( spl27_355
| ~ spl27_56
| ~ spl27_187 ),
inference(avatar_split_clause,[],[f1424,f1405,f505,f3292]) ).
fof(f1424,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(sK17(powerset(powerset(X2))),X1,X3)
| ~ empty(X2)
| ~ in(X4,apply_netmap(X3,X1,sK13(sK17(powerset(powerset(X2))),X1,X3,X0))) )
| ~ spl27_56
| ~ spl27_187 ),
inference(resolution,[],[f1406,f506]) ).
fof(f3290,plain,
( spl27_354
| ~ spl27_49
| ~ spl27_187 ),
inference(avatar_split_clause,[],[f1426,f1405,f461,f3288]) ).
fof(f3288,plain,
( spl27_354
<=> ! [X0,X3,X2,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(sK17(powerset(powerset(X2))),X1,X3)
| finite(apply_netmap(X3,X1,sK13(sK17(powerset(powerset(X2))),X1,X3,X0)))
| ~ finite(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_354])]) ).
fof(f1426,plain,
( ! [X2,X3,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(sK17(powerset(powerset(X2))),X1,X3)
| finite(apply_netmap(X3,X1,sK13(sK17(powerset(powerset(X2))),X1,X3,X0)))
| ~ finite(X2) )
| ~ spl27_49
| ~ spl27_187 ),
inference(resolution,[],[f1406,f462]) ).
fof(f3256,plain,
( spl27_353
| ~ spl27_50
| ~ spl27_187 ),
inference(avatar_split_clause,[],[f1427,f1405,f465,f3254]) ).
fof(f1427,plain,
( ! [X2,X3,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(sK17(powerset(X2)),X1,X3)
| empty(X2)
| in(apply_netmap(X3,X1,sK13(sK17(powerset(X2)),X1,X3,X0)),X2) )
| ~ spl27_50
| ~ spl27_187 ),
inference(resolution,[],[f1406,f466]) ).
fof(f3252,plain,
( spl27_352
| ~ spl27_129
| ~ spl27_180 ),
inference(avatar_split_clause,[],[f1378,f1373,f960,f3250]) ).
fof(f3250,plain,
( spl27_352
<=> ! [X0,X3,X2,X1] :
( ~ relation_of2_as_subset(powerset(cartesian_product2(X0,X1)),X2,X3)
| empty(powerset(cartesian_product2(X2,X3)))
| empty(powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(powerset(cartesian_product2(X2,X3)),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_352])]) ).
fof(f960,plain,
( spl27_129
<=> ! [X2,X0,X1] :
( ~ relation_of2_as_subset(X0,X1,X2)
| empty(powerset(cartesian_product2(X1,X2)))
| in(X0,powerset(cartesian_product2(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_129])]) ).
fof(f1378,plain,
( ! [X2,X3,X0,X1] :
( ~ relation_of2_as_subset(powerset(cartesian_product2(X0,X1)),X2,X3)
| empty(powerset(cartesian_product2(X2,X3)))
| empty(powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(powerset(cartesian_product2(X2,X3)),X0,X1) )
| ~ spl27_129
| ~ spl27_180 ),
inference(resolution,[],[f1374,f961]) ).
fof(f961,plain,
( ! [X2,X0,X1] :
( in(X0,powerset(cartesian_product2(X1,X2)))
| empty(powerset(cartesian_product2(X1,X2)))
| ~ relation_of2_as_subset(X0,X1,X2) )
| ~ spl27_129 ),
inference(avatar_component_clause,[],[f960]) ).
fof(f3248,plain,
( spl27_351
| ~ spl27_77
| ~ spl27_172 ),
inference(avatar_split_clause,[],[f1330,f1283,f625,f3246]) ).
fof(f3246,plain,
( spl27_351
<=> ! [X4,X0,X3,X2,X1] :
( element(apply_netmap(X0,X1,sK13(sK19(X2,X3),X1,X0,X4)),cartesian_product2(X2,X3))
| ~ element(X4,the_carrier(X1))
| ~ sP0(sK19(X2,X3),X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_351])]) ).
fof(f1330,plain,
( ! [X2,X3,X0,X1,X4] :
( element(apply_netmap(X0,X1,sK13(sK19(X2,X3),X1,X0,X4)),cartesian_product2(X2,X3))
| ~ element(X4,the_carrier(X1))
| ~ sP0(sK19(X2,X3),X1,X0) )
| ~ spl27_77
| ~ spl27_172 ),
inference(resolution,[],[f1284,f626]) ).
fof(f3244,plain,
( spl27_350
| ~ spl27_77
| ~ spl27_171 ),
inference(avatar_split_clause,[],[f1326,f1279,f625,f3242]) ).
fof(f3242,plain,
( spl27_350
<=> ! [X4,X0,X3,X2,X1] :
( element(apply_netmap(X0,X1,sK13(sK20(X2,X3),X1,X0,X4)),cartesian_product2(X2,X3))
| ~ element(X4,the_carrier(X1))
| ~ sP0(sK20(X2,X3),X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_350])]) ).
fof(f1326,plain,
( ! [X2,X3,X0,X1,X4] :
( element(apply_netmap(X0,X1,sK13(sK20(X2,X3),X1,X0,X4)),cartesian_product2(X2,X3))
| ~ element(X4,the_carrier(X1))
| ~ sP0(sK20(X2,X3),X1,X0) )
| ~ spl27_77
| ~ spl27_171 ),
inference(resolution,[],[f1280,f626]) ).
fof(f3232,plain,
( spl27_349
| ~ spl27_50
| ~ spl27_182 ),
inference(avatar_split_clause,[],[f1387,f1384,f465,f3230]) ).
fof(f1384,plain,
( spl27_182
<=> ! [X2,X0,X1] :
( ~ in(X0,the_mapping(X1,X2))
| element(X0,cartesian_product2(the_carrier(X2),the_carrier(X1)))
| ~ net_str(X2,X1)
| ~ one_sorted_str(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_182])]) ).
fof(f1387,plain,
( ! [X2,X0,X1] :
( ~ in(X0,the_mapping(X1,X2))
| ~ net_str(X2,X1)
| ~ one_sorted_str(X1)
| empty(cartesian_product2(the_carrier(X2),the_carrier(X1)))
| in(X0,cartesian_product2(the_carrier(X2),the_carrier(X1))) )
| ~ spl27_50
| ~ spl27_182 ),
inference(resolution,[],[f1385,f466]) ).
fof(f1385,plain,
( ! [X2,X0,X1] :
( element(X0,cartesian_product2(the_carrier(X2),the_carrier(X1)))
| ~ in(X0,the_mapping(X1,X2))
| ~ net_str(X2,X1)
| ~ one_sorted_str(X1) )
| ~ spl27_182 ),
inference(avatar_component_clause,[],[f1384]) ).
fof(f3147,plain,
( spl27_348
| ~ spl27_50
| ~ spl27_190 ),
inference(avatar_split_clause,[],[f1458,f1417,f465,f3145]) ).
fof(f1458,plain,
( ! [X2,X3,X0,X1] :
( empty(X0)
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK10(X0),X2,X3)
| in(apply_netmap(X3,X2,sK13(sK10(X0),X2,X3,X1)),X0) )
| ~ spl27_50
| ~ spl27_190 ),
inference(duplicate_literal_removal,[],[f1453]) ).
fof(f1453,plain,
( ! [X2,X3,X0,X1] :
( empty(X0)
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK10(X0),X2,X3)
| empty(X0)
| in(apply_netmap(X3,X2,sK13(sK10(X0),X2,X3,X1)),X0) )
| ~ spl27_50
| ~ spl27_190 ),
inference(resolution,[],[f1418,f466]) ).
fof(f3143,plain,
( spl27_347
| ~ spl27_50
| ~ spl27_189 ),
inference(avatar_split_clause,[],[f1449,f1413,f465,f3141]) ).
fof(f1449,plain,
( ! [X2,X3,X0,X1] :
( empty(X0)
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK9(X0),X2,X3)
| in(apply_netmap(X3,X2,sK13(sK9(X0),X2,X3,X1)),X0) )
| ~ spl27_50
| ~ spl27_189 ),
inference(duplicate_literal_removal,[],[f1444]) ).
fof(f1444,plain,
( ! [X2,X3,X0,X1] :
( empty(X0)
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK9(X0),X2,X3)
| empty(X0)
| in(apply_netmap(X3,X2,sK13(sK9(X0),X2,X3,X1)),X0) )
| ~ spl27_50
| ~ spl27_189 ),
inference(resolution,[],[f1414,f466]) ).
fof(f3138,plain,
( ~ spl27_13
| spl27_292
| ~ spl27_319 ),
inference(avatar_split_clause,[],[f3137,f2677,f2354,f293]) ).
fof(f2677,plain,
( spl27_319
<=> sK24 = sK17(powerset(the_carrier(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_319])]) ).
fof(f3137,plain,
( ~ empty(sK24)
| spl27_292
| ~ spl27_319 ),
inference(forward_demodulation,[],[f2355,f2679]) ).
fof(f2679,plain,
( sK24 = sK17(powerset(the_carrier(sK5)))
| ~ spl27_319 ),
inference(avatar_component_clause,[],[f2677]) ).
fof(f2355,plain,
( ~ empty(sK17(powerset(the_carrier(sK5))))
| spl27_292 ),
inference(avatar_component_clause,[],[f2354]) ).
fof(f3110,plain,
( spl27_346
| ~ spl27_271
| ~ spl27_292 ),
inference(avatar_split_clause,[],[f2361,f2354,f2178,f3108]) ).
fof(f3108,plain,
( spl27_346
<=> ! [X0] :
( sK17(powerset(X0)) = sK17(powerset(the_carrier(sK5)))
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_346])]) ).
fof(f2361,plain,
( ! [X0] :
( sK17(powerset(X0)) = sK17(powerset(the_carrier(sK5)))
| ~ empty(X0) )
| ~ spl27_271
| ~ spl27_292 ),
inference(resolution,[],[f2356,f2179]) ).
fof(f2356,plain,
( empty(sK17(powerset(the_carrier(sK5))))
| ~ spl27_292 ),
inference(avatar_component_clause,[],[f2354]) ).
fof(f3106,plain,
( spl27_345
| ~ spl27_50
| ~ spl27_188 ),
inference(avatar_split_clause,[],[f1440,f1409,f465,f3104]) ).
fof(f1440,plain,
( ! [X2,X3,X0,X1] :
( empty(X0)
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK8(X0),X2,X3)
| in(apply_netmap(X3,X2,sK13(sK8(X0),X2,X3,X1)),X0) )
| ~ spl27_50
| ~ spl27_188 ),
inference(duplicate_literal_removal,[],[f1435]) ).
fof(f1435,plain,
( ! [X2,X3,X0,X1] :
( empty(X0)
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK8(X0),X2,X3)
| empty(X0)
| in(apply_netmap(X3,X2,sK13(sK8(X0),X2,X3,X1)),X0) )
| ~ spl27_50
| ~ spl27_188 ),
inference(resolution,[],[f1410,f466]) ).
fof(f3051,plain,
( spl27_344
| ~ spl27_75
| ~ spl27_210 ),
inference(avatar_split_clause,[],[f1594,f1583,f615,f3049]) ).
fof(f1583,plain,
( spl27_210
<=> ! [X4,X0,X3,X2,X1] :
( ~ element(sK14(X0,X1,X2,sK15(sK17(powerset(X3)),X1,X4)),the_carrier(X1))
| ~ sP2(sK17(powerset(X3)),X1,X4)
| sP2(X0,X1,X2)
| ~ element(sK15(sK17(powerset(X3)),X1,X4),the_carrier(X1))
| ~ empty(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_210])]) ).
fof(f1594,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sP2(sK17(powerset(X0)),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK17(powerset(X0)),X1,X2),the_carrier(X1))
| ~ empty(X0) )
| ~ spl27_75
| ~ spl27_210 ),
inference(duplicate_literal_removal,[],[f1593]) ).
fof(f1593,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sP2(sK17(powerset(X0)),X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(sK17(powerset(X0)),X1,X2),the_carrier(X1))
| ~ empty(X0)
| sP2(X3,X1,X4)
| ~ element(sK15(sK17(powerset(X0)),X1,X2),the_carrier(X1)) )
| ~ spl27_75
| ~ spl27_210 ),
inference(resolution,[],[f1584,f616]) ).
fof(f1584,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ element(sK14(X0,X1,X2,sK15(sK17(powerset(X3)),X1,X4)),the_carrier(X1))
| ~ sP2(sK17(powerset(X3)),X1,X4)
| sP2(X0,X1,X2)
| ~ element(sK15(sK17(powerset(X3)),X1,X4),the_carrier(X1))
| ~ empty(X3) )
| ~ spl27_210 ),
inference(avatar_component_clause,[],[f1583]) ).
fof(f3047,plain,
( spl27_343
| ~ spl27_73
| ~ spl27_209 ),
inference(avatar_split_clause,[],[f1587,f1579,f607,f3045]) ).
fof(f1579,plain,
( spl27_209
<=> ! [X4,X0,X3,X2,X1] :
( ~ element(sK13(X0,X1,X2,sK15(sK17(powerset(X3)),X1,X4)),the_carrier(X1))
| ~ sP2(sK17(powerset(X3)),X1,X4)
| ~ element(sK15(sK17(powerset(X3)),X1,X4),the_carrier(X1))
| ~ sP0(X0,X1,X2)
| ~ empty(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_209])]) ).
fof(f1587,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sP2(sK17(powerset(X0)),X1,X2)
| ~ element(sK15(sK17(powerset(X0)),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ empty(X0) )
| ~ spl27_73
| ~ spl27_209 ),
inference(duplicate_literal_removal,[],[f1586]) ).
fof(f1586,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sP2(sK17(powerset(X0)),X1,X2)
| ~ element(sK15(sK17(powerset(X0)),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ empty(X0)
| ~ element(sK15(sK17(powerset(X0)),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4) )
| ~ spl27_73
| ~ spl27_209 ),
inference(resolution,[],[f1580,f608]) ).
fof(f1580,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ element(sK13(X0,X1,X2,sK15(sK17(powerset(X3)),X1,X4)),the_carrier(X1))
| ~ sP2(sK17(powerset(X3)),X1,X4)
| ~ element(sK15(sK17(powerset(X3)),X1,X4),the_carrier(X1))
| ~ sP0(X0,X1,X2)
| ~ empty(X3) )
| ~ spl27_209 ),
inference(avatar_component_clause,[],[f1579]) ).
fof(f3043,plain,
( spl27_342
| ~ spl27_75
| ~ spl27_208 ),
inference(avatar_split_clause,[],[f1577,f1573,f615,f3041]) ).
fof(f1573,plain,
( spl27_208
<=> ! [X2,X0,X1] :
( ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| empty(the_carrier(X1))
| ~ element(sK14(the_carrier(X1),X0,X1,X2),the_carrier(X0))
| sP2(the_carrier(X1),X0,X1)
| ~ element(X2,the_carrier(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_208])]) ).
fof(f1577,plain,
( ! [X2,X0,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| empty(the_carrier(X1))
| ~ net_str(X0,X1)
| sP2(the_carrier(X1),X0,X1)
| ~ element(X2,the_carrier(X0)) )
| ~ spl27_75
| ~ spl27_208 ),
inference(duplicate_literal_removal,[],[f1576]) ).
fof(f1576,plain,
( ! [X2,X0,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| empty(the_carrier(X1))
| ~ net_str(X0,X1)
| sP2(the_carrier(X1),X0,X1)
| ~ element(X2,the_carrier(X0))
| sP2(the_carrier(X1),X0,X1)
| ~ element(X2,the_carrier(X0)) )
| ~ spl27_75
| ~ spl27_208 ),
inference(resolution,[],[f1574,f616]) ).
fof(f1574,plain,
( ! [X2,X0,X1] :
( ~ element(sK14(the_carrier(X1),X0,X1,X2),the_carrier(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| empty(the_carrier(X1))
| ~ net_str(X0,X1)
| sP2(the_carrier(X1),X0,X1)
| ~ element(X2,the_carrier(X0)) )
| ~ spl27_208 ),
inference(avatar_component_clause,[],[f1573]) ).
fof(f3039,plain,
( spl27_341
| ~ spl27_95
| ~ spl27_191 ),
inference(avatar_split_clause,[],[f1463,f1421,f760,f3037]) ).
fof(f1463,plain,
( ! [X2,X3,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ empty(X2)
| ~ sP0(powerset(X2),X1,X3)
| empty(apply_netmap(X3,X1,sK13(powerset(X2),X1,X3,X0))) )
| ~ spl27_95
| ~ spl27_191 ),
inference(resolution,[],[f1422,f761]) ).
fof(f3030,plain,
( spl27_340
| ~ spl27_129
| ~ spl27_167 ),
inference(avatar_split_clause,[],[f1325,f1258,f960,f3028]) ).
fof(f1325,plain,
( ! [X2,X0,X1] :
( ~ subset(powerset(cartesian_product2(X0,X1)),X2)
| empty(powerset(X2))
| empty(powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(powerset(X2),X0,X1) )
| ~ spl27_129
| ~ spl27_167 ),
inference(resolution,[],[f1259,f961]) ).
fof(f2990,plain,
( spl27_339
| ~ spl27_155
| ~ spl27_254 ),
inference(avatar_split_clause,[],[f2067,f2061,f1177,f2988]) ).
fof(f2067,plain,
( ! [X2,X3,X0,X1,X4] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,X4)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,X4))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1)
| ~ element(X4,the_carrier(sK5))
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X3)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X3)) )
| ~ spl27_155
| ~ spl27_254 ),
inference(resolution,[],[f2062,f1178]) ).
fof(f2950,plain,
( spl27_338
| ~ spl27_155
| ~ spl27_252 ),
inference(avatar_split_clause,[],[f2056,f2049,f1177,f2948]) ).
fof(f2056,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X4,sK5,sK13(the_carrier(X0),sK5,X4,X5)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X4,sK5,sK13(the_carrier(X0),sK5,X4,X5))))
| ~ net_str(X0,X1)
| ~ element(X5,the_carrier(sK5))
| apply_netmap(sK4,sK5,sK12(the_carrier(X0),sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X0),sK5,X4)) )
| ~ spl27_155
| ~ spl27_252 ),
inference(resolution,[],[f2050,f1178]) ).
fof(f2942,plain,
( spl27_337
| ~ spl27_75
| ~ spl27_206 ),
inference(avatar_split_clause,[],[f1567,f1560,f615,f2940]) ).
fof(f1560,plain,
( spl27_206
<=> ! [X4,X0,X3,X2,X1] :
( ~ element(sK14(X0,X1,X2,sK15(X3,X1,X4)),the_carrier(X1))
| ~ sP2(X3,X1,X4)
| sP2(X0,X1,X2)
| ~ element(sK15(X3,X1,X4),the_carrier(X1))
| ~ empty(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_206])]) ).
fof(f1567,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sP2(X0,X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(X0,X1,X2),the_carrier(X1))
| ~ empty(X0) )
| ~ spl27_75
| ~ spl27_206 ),
inference(duplicate_literal_removal,[],[f1566]) ).
fof(f1566,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sP2(X0,X1,X2)
| sP2(X3,X1,X4)
| ~ element(sK15(X0,X1,X2),the_carrier(X1))
| ~ empty(X0)
| sP2(X3,X1,X4)
| ~ element(sK15(X0,X1,X2),the_carrier(X1)) )
| ~ spl27_75
| ~ spl27_206 ),
inference(resolution,[],[f1561,f616]) ).
fof(f1561,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ element(sK14(X0,X1,X2,sK15(X3,X1,X4)),the_carrier(X1))
| ~ sP2(X3,X1,X4)
| sP2(X0,X1,X2)
| ~ element(sK15(X3,X1,X4),the_carrier(X1))
| ~ empty(X3) )
| ~ spl27_206 ),
inference(avatar_component_clause,[],[f1560]) ).
fof(f2938,plain,
( spl27_336
| ~ spl27_73
| ~ spl27_205 ),
inference(avatar_split_clause,[],[f1565,f1556,f607,f2936]) ).
fof(f1556,plain,
( spl27_205
<=> ! [X4,X0,X3,X2,X1] :
( ~ element(sK13(X0,X1,X2,sK15(X3,X1,X4)),the_carrier(X1))
| ~ sP2(X3,X1,X4)
| ~ element(sK15(X3,X1,X4),the_carrier(X1))
| ~ sP0(X0,X1,X2)
| ~ empty(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_205])]) ).
fof(f1565,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sP2(X0,X1,X2)
| ~ element(sK15(X0,X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ empty(X0) )
| ~ spl27_73
| ~ spl27_205 ),
inference(duplicate_literal_removal,[],[f1564]) ).
fof(f1564,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sP2(X0,X1,X2)
| ~ element(sK15(X0,X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| ~ empty(X0)
| ~ element(sK15(X0,X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4) )
| ~ spl27_73
| ~ spl27_205 ),
inference(resolution,[],[f1557,f608]) ).
fof(f1557,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ element(sK13(X0,X1,X2,sK15(X3,X1,X4)),the_carrier(X1))
| ~ sP2(X3,X1,X4)
| ~ element(sK15(X3,X1,X4),the_carrier(X1))
| ~ sP0(X0,X1,X2)
| ~ empty(X3) )
| ~ spl27_205 ),
inference(avatar_component_clause,[],[f1556]) ).
fof(f2931,plain,
( spl27_335
| ~ spl27_54
| ~ spl27_302 ),
inference(avatar_split_clause,[],[f2573,f2472,f481,f2928]) ).
fof(f481,plain,
( spl27_54
<=> ! [X2,X0,X1] :
( relation_of2_as_subset(X2,X0,X1)
| ~ relation_of2(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_54])]) ).
fof(f2573,plain,
( relation_of2_as_subset(the_mapping(sK4,sK5),the_carrier(sK5),the_carrier(sK4))
| ~ spl27_54
| ~ spl27_302 ),
inference(resolution,[],[f2473,f482]) ).
fof(f482,plain,
( ! [X2,X0,X1] :
( ~ relation_of2(X2,X0,X1)
| relation_of2_as_subset(X2,X0,X1) )
| ~ spl27_54 ),
inference(avatar_component_clause,[],[f481]) ).
fof(f2902,plain,
( spl27_334
| ~ spl27_50
| ~ spl27_174 ),
inference(avatar_split_clause,[],[f1352,f1340,f465,f2900]) ).
fof(f1352,plain,
( ! [X0] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(sK16(X0))
| empty(the_carrier(X0))
| in(sK17(sK16(X0)),the_carrier(X0)) )
| ~ spl27_50
| ~ spl27_174 ),
inference(resolution,[],[f1341,f466]) ).
fof(f2898,plain,
( spl27_333
| ~ spl27_60
| ~ spl27_166 ),
inference(avatar_split_clause,[],[f1316,f1254,f529,f2896]) ).
fof(f1316,plain,
( ! [X0,X1] :
( empty(powerset(X0))
| empty(sK10(powerset(X0)))
| element(X1,X0)
| ~ in(X1,sK17(sK10(powerset(X0)))) )
| ~ spl27_60
| ~ spl27_166 ),
inference(resolution,[],[f1255,f530]) ).
fof(f2894,plain,
( spl27_332
| ~ spl27_60
| ~ spl27_165 ),
inference(avatar_split_clause,[],[f1304,f1250,f529,f2892]) ).
fof(f1304,plain,
( ! [X0,X1] :
( empty(powerset(X0))
| empty(sK9(powerset(X0)))
| element(X1,X0)
| ~ in(X1,sK17(sK9(powerset(X0)))) )
| ~ spl27_60
| ~ spl27_165 ),
inference(resolution,[],[f1251,f530]) ).
fof(f2890,plain,
( spl27_331
| ~ spl27_60
| ~ spl27_164 ),
inference(avatar_split_clause,[],[f1295,f1246,f529,f2888]) ).
fof(f1295,plain,
( ! [X0,X1] :
( empty(powerset(X0))
| empty(sK8(powerset(X0)))
| element(X1,X0)
| ~ in(X1,sK17(sK8(powerset(X0)))) )
| ~ spl27_60
| ~ spl27_164 ),
inference(resolution,[],[f1247,f530]) ).
fof(f2850,plain,
( spl27_3
| spl27_330
| ~ spl27_155
| ~ spl27_246 ),
inference(avatar_split_clause,[],[f1956,f1913,f1177,f2848,f244]) ).
fof(f1956,plain,
( ! [X2,X3,X0,X1,X4] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,sK5,sK13(X2,sK5,X3,X4))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,sK5,sK13(X2,sK5,X3,X4)))
| ~ net_str(sK5,X0)
| empty_carrier(sK5)
| ~ one_sorted_str(X0)
| ~ element(X4,the_carrier(sK5))
| ~ net_str(X0,X1)
| apply_netmap(sK4,sK5,sK12(X2,sK5,X3)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X2,sK5,X3)) )
| ~ spl27_155
| ~ spl27_246 ),
inference(resolution,[],[f1914,f1178]) ).
fof(f2809,plain,
( spl27_329
| ~ spl27_262
| ~ spl27_292 ),
inference(avatar_split_clause,[],[f2362,f2354,f2117,f2806]) ).
fof(f2806,plain,
( spl27_329
<=> sK24 = sK17(powerset(sK17(powerset(the_carrier(sK5))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_329])]) ).
fof(f2362,plain,
( sK24 = sK17(powerset(sK17(powerset(the_carrier(sK5)))))
| ~ spl27_262
| ~ spl27_292 ),
inference(resolution,[],[f2356,f2118]) ).
fof(f2804,plain,
( spl27_328
| spl27_3
| ~ spl27_155
| ~ spl27_243 ),
inference(avatar_split_clause,[],[f1869,f1859,f1177,f244,f2802]) ).
fof(f1869,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( empty_carrier(sK5)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,sK5,X2)
| apply_netmap(X0,sK5,sK14(X1,sK5,X2,sK13(X3,sK5,X4,X5))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK14(X1,sK5,X2,sK13(X3,sK5,X4,X5)))
| ~ element(X5,the_carrier(sK5))
| ~ net_str(sK5,X0)
| apply_netmap(sK4,sK5,sK12(X3,sK5,X4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X3,sK5,X4)) )
| ~ spl27_155
| ~ spl27_243 ),
inference(resolution,[],[f1860,f1178]) ).
fof(f2764,plain,
( spl27_327
| ~ spl27_155
| ~ spl27_235 ),
inference(avatar_split_clause,[],[f1804,f1793,f1177,f2762]) ).
fof(f1804,plain,
( ! [X2,X3,X0,X1] :
( ~ element(X0,the_carrier(sK5))
| apply_netmap(X1,X2,apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,X0))) = apply_on_structs(X2,X1,the_mapping(X1,X2),apply_netmap(X3,sK5,sK13(the_carrier(X2),sK5,X3,X0)))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(sK4,sK5,sK12(the_carrier(X2),sK5,X3)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(the_carrier(X2),sK5,X3)) )
| ~ spl27_155
| ~ spl27_235 ),
inference(resolution,[],[f1794,f1178]) ).
fof(f2709,plain,
( spl27_326
| ~ spl27_75
| ~ spl27_203 ),
inference(avatar_split_clause,[],[f1550,f1544,f615,f2707]) ).
fof(f1544,plain,
( spl27_203
<=> ! [X0,X3,X2,X1] :
( ~ element(sK14(X0,X1,X2,sK15(sK24,X1,X3)),the_carrier(X1))
| ~ sP2(sK24,X1,X3)
| sP2(X0,X1,X2)
| ~ element(sK15(sK24,X1,X3),the_carrier(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_203])]) ).
fof(f1550,plain,
( ! [X2,X3,X0,X1] :
( ~ sP2(sK24,X0,X1)
| sP2(X2,X0,X3)
| ~ element(sK15(sK24,X0,X1),the_carrier(X0)) )
| ~ spl27_75
| ~ spl27_203 ),
inference(duplicate_literal_removal,[],[f1549]) ).
fof(f1549,plain,
( ! [X2,X3,X0,X1] :
( ~ sP2(sK24,X0,X1)
| sP2(X2,X0,X3)
| ~ element(sK15(sK24,X0,X1),the_carrier(X0))
| sP2(X2,X0,X3)
| ~ element(sK15(sK24,X0,X1),the_carrier(X0)) )
| ~ spl27_75
| ~ spl27_203 ),
inference(resolution,[],[f1545,f616]) ).
fof(f1545,plain,
( ! [X2,X3,X0,X1] :
( ~ element(sK14(X0,X1,X2,sK15(sK24,X1,X3)),the_carrier(X1))
| ~ sP2(sK24,X1,X3)
| sP2(X0,X1,X2)
| ~ element(sK15(sK24,X1,X3),the_carrier(X1)) )
| ~ spl27_203 ),
inference(avatar_component_clause,[],[f1544]) ).
fof(f2705,plain,
( spl27_325
| ~ spl27_73
| ~ spl27_196 ),
inference(avatar_split_clause,[],[f1548,f1493,f607,f2703]) ).
fof(f1493,plain,
( spl27_196
<=> ! [X0,X3,X2,X1] :
( ~ element(sK13(X0,X1,X2,sK15(sK24,X1,X3)),the_carrier(X1))
| ~ sP2(sK24,X1,X3)
| ~ element(sK15(sK24,X1,X3),the_carrier(X1))
| ~ sP0(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_196])]) ).
fof(f1548,plain,
( ! [X2,X3,X0,X1] :
( ~ sP2(sK24,X0,X1)
| ~ element(sK15(sK24,X0,X1),the_carrier(X0))
| ~ sP0(X2,X0,X3) )
| ~ spl27_73
| ~ spl27_196 ),
inference(duplicate_literal_removal,[],[f1547]) ).
fof(f1547,plain,
( ! [X2,X3,X0,X1] :
( ~ sP2(sK24,X0,X1)
| ~ element(sK15(sK24,X0,X1),the_carrier(X0))
| ~ sP0(X2,X0,X3)
| ~ element(sK15(sK24,X0,X1),the_carrier(X0))
| ~ sP0(X2,X0,X3) )
| ~ spl27_73
| ~ spl27_196 ),
inference(resolution,[],[f1494,f608]) ).
fof(f1494,plain,
( ! [X2,X3,X0,X1] :
( ~ element(sK13(X0,X1,X2,sK15(sK24,X1,X3)),the_carrier(X1))
| ~ sP2(sK24,X1,X3)
| ~ element(sK15(sK24,X1,X3),the_carrier(X1))
| ~ sP0(X0,X1,X2) )
| ~ spl27_196 ),
inference(avatar_component_clause,[],[f1493]) ).
fof(f2701,plain,
( spl27_324
| ~ spl27_52
| ~ spl27_179 ),
inference(avatar_split_clause,[],[f1376,f1369,f473,f2699]) ).
fof(f2699,plain,
( spl27_324
<=> ! [X0,X1] :
( finite(the_mapping(X0,X1))
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0)
| ~ finite(the_carrier(X0))
| ~ finite(the_carrier(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_324])]) ).
fof(f1369,plain,
( spl27_179
<=> ! [X0,X1] :
( finite(the_mapping(X0,X1))
| ~ finite(cartesian_product2(the_carrier(X1),the_carrier(X0)))
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_179])]) ).
fof(f1376,plain,
( ! [X0,X1] :
( finite(the_mapping(X0,X1))
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0)
| ~ finite(the_carrier(X0))
| ~ finite(the_carrier(X1)) )
| ~ spl27_52
| ~ spl27_179 ),
inference(resolution,[],[f1370,f474]) ).
fof(f1370,plain,
( ! [X0,X1] :
( ~ finite(cartesian_product2(the_carrier(X1),the_carrier(X0)))
| finite(the_mapping(X0,X1))
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) )
| ~ spl27_179 ),
inference(avatar_component_clause,[],[f1369]) ).
fof(f2697,plain,
( spl27_323
| ~ spl27_56
| ~ spl27_166 ),
inference(avatar_split_clause,[],[f1315,f1254,f505,f2695]) ).
fof(f1315,plain,
( ! [X0,X1] :
( empty(powerset(X0))
| empty(sK10(powerset(X0)))
| ~ empty(X0)
| ~ in(X1,sK17(sK10(powerset(X0)))) )
| ~ spl27_56
| ~ spl27_166 ),
inference(resolution,[],[f1255,f506]) ).
fof(f2693,plain,
( spl27_322
| ~ spl27_56
| ~ spl27_165 ),
inference(avatar_split_clause,[],[f1303,f1250,f505,f2691]) ).
fof(f1303,plain,
( ! [X0,X1] :
( empty(powerset(X0))
| empty(sK9(powerset(X0)))
| ~ empty(X0)
| ~ in(X1,sK17(sK9(powerset(X0)))) )
| ~ spl27_56
| ~ spl27_165 ),
inference(resolution,[],[f1251,f506]) ).
fof(f2689,plain,
( spl27_321
| ~ spl27_56
| ~ spl27_164 ),
inference(avatar_split_clause,[],[f1294,f1246,f505,f2687]) ).
fof(f1294,plain,
( ! [X0,X1] :
( empty(powerset(X0))
| empty(sK8(powerset(X0)))
| ~ empty(X0)
| ~ in(X1,sK17(sK8(powerset(X0)))) )
| ~ spl27_56
| ~ spl27_164 ),
inference(resolution,[],[f1247,f506]) ).
fof(f2685,plain,
( spl27_320
| ~ spl27_60
| ~ spl27_163 ),
inference(avatar_split_clause,[],[f1287,f1242,f529,f2683]) ).
fof(f1287,plain,
( ! [X0,X1] :
( empty(sK17(powerset(powerset(X0))))
| element(X1,X0)
| ~ in(X1,sK17(sK17(powerset(powerset(X0))))) )
| ~ spl27_60
| ~ spl27_163 ),
inference(resolution,[],[f1243,f530]) ).
fof(f2680,plain,
( spl27_319
| ~ spl27_91
| ~ spl27_292 ),
inference(avatar_split_clause,[],[f2364,f2354,f709,f2677]) ).
fof(f2364,plain,
( sK24 = sK17(powerset(the_carrier(sK5)))
| ~ spl27_91
| ~ spl27_292 ),
inference(resolution,[],[f2356,f710]) ).
fof(f2661,plain,
( spl27_318
| ~ spl27_111
| ~ spl27_167 ),
inference(avatar_split_clause,[],[f1324,f1258,f851,f2659]) ).
fof(f851,plain,
( spl27_111
<=> ! [X0,X1] :
( empty(powerset(X0))
| in(X1,powerset(X0))
| ~ subset(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_111])]) ).
fof(f1324,plain,
( ! [X0,X1] :
( ~ subset(powerset(X0),X1)
| empty(powerset(X1))
| empty(powerset(X0))
| ~ subset(powerset(X1),X0) )
| ~ spl27_111
| ~ spl27_167 ),
inference(resolution,[],[f1259,f852]) ).
fof(f852,plain,
( ! [X0,X1] :
( in(X1,powerset(X0))
| empty(powerset(X0))
| ~ subset(X1,X0) )
| ~ spl27_111 ),
inference(avatar_component_clause,[],[f851]) ).
fof(f2657,plain,
( ~ spl27_302
| ~ spl27_303
| spl27_316
| spl27_3
| ~ spl27_59
| spl27_1
| ~ spl27_2
| ~ spl27_300
| ~ spl27_301
| ~ spl27_317
| ~ spl27_151
| ~ spl27_214 ),
inference(avatar_split_clause,[],[f1616,f1610,f1137,f2654,f2468,f2464,f239,f234,f524,f244,f2650,f2476,f2472]) ).
fof(f2476,plain,
( spl27_303
<=> element(sK17(the_carrier(sK5)),the_carrier(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_303])]) ).
fof(f2654,plain,
( spl27_317
<=> in(the_carrier(sK4),apply_netmap(sK4,sK5,sK17(the_carrier(sK5)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_317])]) ).
fof(f1616,plain,
( ~ in(the_carrier(sK4),apply_netmap(sK4,sK5,sK17(the_carrier(sK5))))
| ~ quasi_total(the_mapping(sK4,sK5),the_carrier(sK5),the_carrier(sK4))
| ~ function(the_mapping(sK4,sK5))
| ~ one_sorted_str(sK4)
| empty_carrier(sK4)
| ~ one_sorted_str(sK5)
| empty_carrier(sK5)
| empty(the_carrier(sK4))
| ~ element(sK17(the_carrier(sK5)),the_carrier(sK5))
| ~ relation_of2(the_mapping(sK4,sK5),the_carrier(sK5),the_carrier(sK4))
| ~ spl27_151
| ~ spl27_214 ),
inference(superposition,[],[f1611,f1139]) ).
fof(f2640,plain,
( ~ spl27_2
| ~ spl27_4
| ~ spl27_71
| spl27_301 ),
inference(avatar_split_clause,[],[f2487,f2468,f598,f249,f239]) ).
fof(f2487,plain,
( ~ net_str(sK5,sK4)
| ~ one_sorted_str(sK4)
| ~ spl27_71
| spl27_301 ),
inference(resolution,[],[f2470,f599]) ).
fof(f2470,plain,
( ~ quasi_total(the_mapping(sK4,sK5),the_carrier(sK5),the_carrier(sK4))
| spl27_301 ),
inference(avatar_component_clause,[],[f2468]) ).
fof(f2639,plain,
( spl27_315
| ~ spl27_49
| ~ spl27_166 ),
inference(avatar_split_clause,[],[f1317,f1254,f461,f2637]) ).
fof(f2637,plain,
( spl27_315
<=> ! [X0] :
( empty(powerset(X0))
| empty(sK10(powerset(X0)))
| finite(sK17(sK10(powerset(X0))))
| ~ finite(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_315])]) ).
fof(f1317,plain,
( ! [X0] :
( empty(powerset(X0))
| empty(sK10(powerset(X0)))
| finite(sK17(sK10(powerset(X0))))
| ~ finite(X0) )
| ~ spl27_49
| ~ spl27_166 ),
inference(resolution,[],[f1255,f462]) ).
fof(f2635,plain,
( spl27_314
| ~ spl27_49
| ~ spl27_165 ),
inference(avatar_split_clause,[],[f1305,f1250,f461,f2633]) ).
fof(f2633,plain,
( spl27_314
<=> ! [X0] :
( empty(powerset(X0))
| empty(sK9(powerset(X0)))
| finite(sK17(sK9(powerset(X0))))
| ~ finite(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_314])]) ).
fof(f1305,plain,
( ! [X0] :
( empty(powerset(X0))
| empty(sK9(powerset(X0)))
| finite(sK17(sK9(powerset(X0))))
| ~ finite(X0) )
| ~ spl27_49
| ~ spl27_165 ),
inference(resolution,[],[f1251,f462]) ).
fof(f2631,plain,
( spl27_313
| ~ spl27_49
| ~ spl27_164 ),
inference(avatar_split_clause,[],[f1296,f1246,f461,f2629]) ).
fof(f2629,plain,
( spl27_313
<=> ! [X0] :
( empty(powerset(X0))
| empty(sK8(powerset(X0)))
| finite(sK17(sK8(powerset(X0))))
| ~ finite(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_313])]) ).
fof(f1296,plain,
( ! [X0] :
( empty(powerset(X0))
| empty(sK8(powerset(X0)))
| finite(sK17(sK8(powerset(X0))))
| ~ finite(X0) )
| ~ spl27_49
| ~ spl27_164 ),
inference(resolution,[],[f1247,f462]) ).
fof(f2627,plain,
( spl27_312
| ~ spl27_56
| ~ spl27_163 ),
inference(avatar_split_clause,[],[f1286,f1242,f505,f2625]) ).
fof(f1286,plain,
( ! [X0,X1] :
( empty(sK17(powerset(powerset(X0))))
| ~ empty(X0)
| ~ in(X1,sK17(sK17(powerset(powerset(X0))))) )
| ~ spl27_56
| ~ spl27_163 ),
inference(resolution,[],[f1243,f506]) ).
fof(f2623,plain,
( spl27_311
| ~ spl27_77
| ~ spl27_162 ),
inference(avatar_split_clause,[],[f1237,f1230,f625,f2621]) ).
fof(f1237,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ empty(cartesian_product2(X0,X1))
| ~ element(X2,the_carrier(X3))
| ~ sP0(sK19(X0,X1),X3,X4) )
| ~ spl27_77
| ~ spl27_162 ),
inference(resolution,[],[f1231,f626]) ).
fof(f2619,plain,
( spl27_310
| ~ spl27_77
| ~ spl27_160 ),
inference(avatar_split_clause,[],[f1233,f1212,f625,f2617]) ).
fof(f1233,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ empty(cartesian_product2(X0,X1))
| ~ element(X2,the_carrier(X3))
| ~ sP0(sK20(X0,X1),X3,X4) )
| ~ spl27_77
| ~ spl27_160 ),
inference(resolution,[],[f1213,f626]) ).
fof(f2615,plain,
( spl27_309
| ~ spl27_49
| ~ spl27_163 ),
inference(avatar_split_clause,[],[f1288,f1242,f461,f2613]) ).
fof(f2613,plain,
( spl27_309
<=> ! [X0] :
( empty(sK17(powerset(powerset(X0))))
| finite(sK17(sK17(powerset(powerset(X0)))))
| ~ finite(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_309])]) ).
fof(f1288,plain,
( ! [X0] :
( empty(sK17(powerset(powerset(X0))))
| finite(sK17(sK17(powerset(powerset(X0)))))
| ~ finite(X0) )
| ~ spl27_49
| ~ spl27_163 ),
inference(resolution,[],[f1243,f462]) ).
fof(f2568,plain,
( ~ spl27_4
| ~ spl27_2
| ~ spl27_125
| spl27_302 ),
inference(avatar_split_clause,[],[f2488,f2472,f932,f239,f249]) ).
fof(f2488,plain,
( ~ one_sorted_str(sK4)
| ~ net_str(sK5,sK4)
| ~ spl27_125
| spl27_302 ),
inference(resolution,[],[f2474,f933]) ).
fof(f2474,plain,
( ~ relation_of2(the_mapping(sK4,sK5),the_carrier(sK5),the_carrier(sK4))
| spl27_302 ),
inference(avatar_component_clause,[],[f2472]) ).
fof(f2567,plain,
( spl27_3
| spl27_308
| ~ spl27_139
| ~ spl27_155 ),
inference(avatar_split_clause,[],[f1181,f1177,f1025,f2565,f244]) ).
fof(f1181,plain,
( ! [X2,X3,X0,X1] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ net_str(sK5,X2)
| empty_carrier(sK5)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| ~ element(X3,the_carrier(sK5))
| apply_netmap(X2,sK5,sK13(X0,sK5,X1,X3)) = apply_on_structs(sK5,X2,the_mapping(X2,sK5),sK13(X0,sK5,X1,X3)) )
| ~ spl27_139
| ~ spl27_155 ),
inference(resolution,[],[f1178,f1026]) ).
fof(f2542,plain,
( spl27_307
| ~ spl27_95
| ~ spl27_172 ),
inference(avatar_split_clause,[],[f1333,f1283,f760,f2540]) ).
fof(f1333,plain,
( ! [X0,X1] :
( element(sK17(sK19(X0,X1)),cartesian_product2(X0,X1))
| empty(sK19(X0,X1)) )
| ~ spl27_95
| ~ spl27_172 ),
inference(resolution,[],[f1284,f761]) ).
fof(f2538,plain,
( spl27_306
| ~ spl27_95
| ~ spl27_171 ),
inference(avatar_split_clause,[],[f1329,f1279,f760,f2536]) ).
fof(f1329,plain,
( ! [X0,X1] :
( element(sK17(sK20(X0,X1)),cartesian_product2(X0,X1))
| empty(sK20(X0,X1)) )
| ~ spl27_95
| ~ spl27_171 ),
inference(resolution,[],[f1280,f761]) ).
fof(f2534,plain,
( spl27_305
| ~ spl27_50
| ~ spl27_163 ),
inference(avatar_split_clause,[],[f1289,f1242,f465,f2532]) ).
fof(f1289,plain,
( ! [X0] :
( empty(sK17(powerset(X0)))
| empty(X0)
| in(sK17(sK17(powerset(X0))),X0) )
| ~ spl27_50
| ~ spl27_163 ),
inference(resolution,[],[f1243,f466]) ).
fof(f2490,plain,
( ~ spl27_2
| ~ spl27_4
| ~ spl27_55
| spl27_300 ),
inference(avatar_split_clause,[],[f2484,f2464,f501,f249,f239]) ).
fof(f501,plain,
( spl27_55
<=> ! [X0,X1] :
( function(the_mapping(X0,X1))
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_55])]) ).
fof(f2484,plain,
( ~ net_str(sK5,sK4)
| ~ one_sorted_str(sK4)
| ~ spl27_55
| spl27_300 ),
inference(resolution,[],[f2466,f502]) ).
fof(f502,plain,
( ! [X0,X1] :
( function(the_mapping(X0,X1))
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) )
| ~ spl27_55 ),
inference(avatar_component_clause,[],[f501]) ).
fof(f2466,plain,
( ~ function(the_mapping(sK4,sK5))
| spl27_300 ),
inference(avatar_component_clause,[],[f2464]) ).
fof(f2486,plain,
( ~ spl27_23
| spl27_303 ),
inference(avatar_contradiction_clause,[],[f2485]) ).
fof(f2485,plain,
( $false
| ~ spl27_23
| spl27_303 ),
inference(resolution,[],[f2478,f339]) ).
fof(f2478,plain,
( ~ element(sK17(the_carrier(sK5)),the_carrier(sK5))
| spl27_303 ),
inference(avatar_component_clause,[],[f2476]) ).
fof(f2483,plain,
( spl27_3
| ~ spl27_59
| spl27_1
| ~ spl27_2
| ~ spl27_300
| ~ spl27_301
| ~ spl27_302
| ~ spl27_303
| spl27_304
| ~ spl27_83
| ~ spl27_151 ),
inference(avatar_split_clause,[],[f1164,f1137,f664,f2480,f2476,f2472,f2468,f2464,f239,f234,f524,f244]) ).
fof(f1164,plain,
( element(apply_netmap(sK4,sK5,sK17(the_carrier(sK5))),the_carrier(sK4))
| ~ element(sK17(the_carrier(sK5)),the_carrier(sK5))
| ~ relation_of2(the_mapping(sK4,sK5),the_carrier(sK5),the_carrier(sK4))
| ~ quasi_total(the_mapping(sK4,sK5),the_carrier(sK5),the_carrier(sK4))
| ~ function(the_mapping(sK4,sK5))
| ~ one_sorted_str(sK4)
| empty_carrier(sK4)
| ~ one_sorted_str(sK5)
| empty_carrier(sK5)
| ~ spl27_83
| ~ spl27_151 ),
inference(superposition,[],[f665,f1139]) ).
fof(f2459,plain,
( spl27_3
| ~ spl27_59
| ~ spl27_44
| ~ spl27_290 ),
inference(avatar_split_clause,[],[f2378,f2337,f433,f524,f244]) ).
fof(f433,plain,
( spl27_44
<=> ! [X0] :
( ~ empty(the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_44])]) ).
fof(f2378,plain,
( ~ one_sorted_str(sK5)
| empty_carrier(sK5)
| ~ spl27_44
| ~ spl27_290 ),
inference(resolution,[],[f2339,f434]) ).
fof(f434,plain,
( ! [X0] :
( ~ empty(the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) )
| ~ spl27_44 ),
inference(avatar_component_clause,[],[f433]) ).
fof(f2339,plain,
( empty(the_carrier(sK5))
| ~ spl27_290 ),
inference(avatar_component_clause,[],[f2337]) ).
fof(f2457,plain,
( spl27_299
| ~ spl27_75
| ~ spl27_284 ),
inference(avatar_split_clause,[],[f2302,f2277,f615,f2455]) ).
fof(f2277,plain,
( spl27_284
<=> ! [X0,X1] :
( ~ net_str(sK5,X0)
| apply_netmap(X0,sK5,sK13(sK7,sK5,sK4,X1)) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK7,sK5,sK4,X1))
| ~ element(X1,the_carrier(sK5))
| empty_carrier(X0)
| ~ one_sorted_str(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_284])]) ).
fof(f2302,plain,
( ! [X2,X3,X0,X1] :
( apply_netmap(X0,sK5,sK13(sK7,sK5,sK4,sK14(X1,sK5,X2,X3))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK7,sK5,sK4,sK14(X1,sK5,X2,X3)))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| sP2(X1,sK5,X2)
| ~ element(X3,the_carrier(sK5)) )
| ~ spl27_75
| ~ spl27_284 ),
inference(resolution,[],[f2278,f616]) ).
fof(f2278,plain,
( ! [X0,X1] :
( ~ element(X1,the_carrier(sK5))
| apply_netmap(X0,sK5,sK13(sK7,sK5,sK4,X1)) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK7,sK5,sK4,X1))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0) )
| ~ spl27_284 ),
inference(avatar_component_clause,[],[f2277]) ).
fof(f2450,plain,
( spl27_298
| ~ spl27_91
| ~ spl27_290
| ~ spl27_297 ),
inference(avatar_split_clause,[],[f2446,f2443,f2337,f709,f2448]) ).
fof(f2446,plain,
( ! [X2,X3,X0,X1] :
( ~ element(X3,sK24)
| apply_netmap(X0,sK5,sK13(sK7,sK5,sK4,sK13(X1,sK5,X2,X3))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK7,sK5,sK4,sK13(X1,sK5,X2,X3)))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ sP0(X1,sK5,X2) )
| ~ spl27_91
| ~ spl27_290
| ~ spl27_297 ),
inference(forward_demodulation,[],[f2444,f2382]) ).
fof(f2382,plain,
( sK24 = the_carrier(sK5)
| ~ spl27_91
| ~ spl27_290 ),
inference(resolution,[],[f2339,f710]) ).
fof(f2445,plain,
( spl27_297
| ~ spl27_73
| ~ spl27_284 ),
inference(avatar_split_clause,[],[f2301,f2277,f607,f2443]) ).
fof(f2301,plain,
( ! [X2,X3,X0,X1] :
( apply_netmap(X0,sK5,sK13(sK7,sK5,sK4,sK13(X1,sK5,X2,X3))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK7,sK5,sK4,sK13(X1,sK5,X2,X3)))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ element(X3,the_carrier(sK5))
| ~ sP0(X1,sK5,X2) )
| ~ spl27_73
| ~ spl27_284 ),
inference(resolution,[],[f2278,f608]) ).
fof(f2441,plain,
( ~ spl27_2
| spl27_3
| spl27_296
| spl27_1
| ~ spl27_4
| ~ spl27_225 ),
inference(avatar_split_clause,[],[f1702,f1695,f249,f234,f2439,f244,f239]) ).
fof(f2439,plain,
( spl27_296
<=> ! [X2,X0,X1] :
( ~ one_sorted_str(X0)
| sP0(X1,sK5,X2)
| ~ net_str(sK4,X0)
| apply_netmap(X0,sK4,apply_netmap(sK4,sK5,sK12(X1,sK5,X2))) = apply_on_structs(sK4,X0,the_mapping(X0,sK4),apply_netmap(sK4,sK5,sK12(X1,sK5,X2)))
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_296])]) ).
fof(f1702,plain,
( ! [X2,X0,X1] :
( empty_carrier(sK4)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,sK4,apply_netmap(sK4,sK5,sK12(X1,sK5,X2))) = apply_on_structs(sK4,X0,the_mapping(X0,sK4),apply_netmap(sK4,sK5,sK12(X1,sK5,X2)))
| ~ net_str(sK4,X0)
| empty_carrier(sK5)
| ~ one_sorted_str(sK4)
| sP0(X1,sK5,X2) )
| ~ spl27_4
| ~ spl27_225 ),
inference(resolution,[],[f1696,f251]) ).
fof(f2377,plain,
( spl27_290
| ~ spl27_25
| ~ spl27_289 ),
inference(avatar_split_clause,[],[f2344,f2333,f351,f2337]) ).
fof(f2344,plain,
( empty(the_carrier(sK5))
| ~ spl27_25
| ~ spl27_289 ),
inference(resolution,[],[f2335,f352]) ).
fof(f2335,plain,
( empty(sK8(the_carrier(sK5)))
| ~ spl27_289 ),
inference(avatar_component_clause,[],[f2333]) ).
fof(f2376,plain,
( spl27_295
| ~ spl27_50
| ~ spl27_166 ),
inference(avatar_split_clause,[],[f1323,f1254,f465,f2374]) ).
fof(f1323,plain,
( ! [X0] :
( empty(X0)
| empty(sK10(X0))
| in(sK17(sK10(X0)),X0) )
| ~ spl27_50
| ~ spl27_166 ),
inference(duplicate_literal_removal,[],[f1318]) ).
fof(f1318,plain,
( ! [X0] :
( empty(X0)
| empty(sK10(X0))
| empty(X0)
| in(sK17(sK10(X0)),X0) )
| ~ spl27_50
| ~ spl27_166 ),
inference(resolution,[],[f1255,f466]) ).
fof(f2372,plain,
( spl27_294
| ~ spl27_50
| ~ spl27_165 ),
inference(avatar_split_clause,[],[f1311,f1250,f465,f2370]) ).
fof(f1311,plain,
( ! [X0] :
( empty(X0)
| empty(sK9(X0))
| in(sK17(sK9(X0)),X0) )
| ~ spl27_50
| ~ spl27_165 ),
inference(duplicate_literal_removal,[],[f1306]) ).
fof(f1306,plain,
( ! [X0] :
( empty(X0)
| empty(sK9(X0))
| empty(X0)
| in(sK17(sK9(X0)),X0) )
| ~ spl27_50
| ~ spl27_165 ),
inference(resolution,[],[f1251,f466]) ).
fof(f2360,plain,
( spl27_292
| spl27_293
| ~ spl27_163
| ~ spl27_284 ),
inference(avatar_split_clause,[],[f2309,f2277,f1242,f2358,f2354]) ).
fof(f2358,plain,
( spl27_293
<=> ! [X0] :
( apply_netmap(X0,sK5,sK13(sK7,sK5,sK4,sK17(sK17(powerset(the_carrier(sK5)))))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK7,sK5,sK4,sK17(sK17(powerset(the_carrier(sK5))))))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ net_str(sK5,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_293])]) ).
fof(f2309,plain,
( ! [X0] :
( apply_netmap(X0,sK5,sK13(sK7,sK5,sK4,sK17(sK17(powerset(the_carrier(sK5)))))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK7,sK5,sK4,sK17(sK17(powerset(the_carrier(sK5))))))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty(sK17(powerset(the_carrier(sK5)))) )
| ~ spl27_163
| ~ spl27_284 ),
inference(resolution,[],[f2278,f1243]) ).
fof(f2343,plain,
( spl27_289
| spl27_290
| spl27_291
| ~ spl27_164
| ~ spl27_284 ),
inference(avatar_split_clause,[],[f2306,f2277,f1246,f2341,f2337,f2333]) ).
fof(f2341,plain,
( spl27_291
<=> ! [X0] :
( apply_netmap(X0,sK5,sK13(sK7,sK5,sK4,sK17(sK8(the_carrier(sK5))))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK7,sK5,sK4,sK17(sK8(the_carrier(sK5)))))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ net_str(sK5,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_291])]) ).
fof(f2306,plain,
( ! [X0] :
( apply_netmap(X0,sK5,sK13(sK7,sK5,sK4,sK17(sK8(the_carrier(sK5))))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK7,sK5,sK4,sK17(sK8(the_carrier(sK5)))))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty(the_carrier(sK5))
| empty(sK8(the_carrier(sK5))) )
| ~ spl27_164
| ~ spl27_284 ),
inference(resolution,[],[f2278,f1247]) ).
fof(f2330,plain,
( spl27_275
| spl27_3
| ~ spl27_59
| spl27_288
| ~ spl27_174
| ~ spl27_284 ),
inference(avatar_split_clause,[],[f2304,f2277,f1340,f2328,f524,f244,f2202]) ).
fof(f2304,plain,
( ! [X0] :
( apply_netmap(X0,sK5,sK13(sK7,sK5,sK4,sK17(sK16(sK5)))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK7,sK5,sK4,sK17(sK16(sK5))))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ one_sorted_str(sK5)
| empty_carrier(sK5)
| empty(sK16(sK5)) )
| ~ spl27_174
| ~ spl27_284 ),
inference(resolution,[],[f2278,f1341]) ).
fof(f2322,plain,
( spl27_287
| ~ spl27_66
| ~ spl27_284 ),
inference(avatar_split_clause,[],[f2303,f2277,f568,f2320]) ).
fof(f2303,plain,
( ! [X2,X0,X1] :
( apply_netmap(X0,sK5,sK13(sK7,sK5,sK4,sK15(X1,sK5,X2))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK7,sK5,sK4,sK15(X1,sK5,X2)))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ sP2(X1,sK5,X2) )
| ~ spl27_66
| ~ spl27_284 ),
inference(resolution,[],[f2278,f569]) ).
fof(f2318,plain,
( spl27_286
| ~ spl27_63
| ~ spl27_284 ),
inference(avatar_split_clause,[],[f2300,f2277,f556,f2316]) ).
fof(f2300,plain,
( ! [X2,X0,X1] :
( apply_netmap(X0,sK5,sK13(sK7,sK5,sK4,sK12(X1,sK5,X2))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK7,sK5,sK4,sK12(X1,sK5,X2)))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| sP0(X1,sK5,X2) )
| ~ spl27_63
| ~ spl27_284 ),
inference(resolution,[],[f2278,f557]) ).
fof(f2313,plain,
( spl27_285
| ~ spl27_23
| ~ spl27_284 ),
inference(avatar_split_clause,[],[f2305,f2277,f338,f2311]) ).
fof(f2305,plain,
( ! [X0] :
( apply_netmap(X0,sK5,sK13(sK7,sK5,sK4,sK17(the_carrier(sK5)))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK7,sK5,sK4,sK17(the_carrier(sK5))))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0) )
| ~ spl27_23
| ~ spl27_284 ),
inference(resolution,[],[f2278,f339]) ).
fof(f2279,plain,
( spl27_3
| spl27_284
| ~ spl27_139
| ~ spl27_283 ),
inference(avatar_split_clause,[],[f2273,f2267,f1025,f2277,f244]) ).
fof(f2273,plain,
( ! [X0,X1] :
( ~ net_str(sK5,X0)
| empty_carrier(sK5)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ element(X1,the_carrier(sK5))
| apply_netmap(X0,sK5,sK13(sK7,sK5,sK4,X1)) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK7,sK5,sK4,X1)) )
| ~ spl27_139
| ~ spl27_283 ),
inference(resolution,[],[f2269,f1026]) ).
fof(f2270,plain,
( ~ spl27_69
| spl27_283
| ~ spl27_8
| ~ spl27_61 ),
inference(avatar_split_clause,[],[f2265,f548,f268,f2267,f589]) ).
fof(f2265,plain,
( sP0(sK7,sK5,sK4)
| ~ sP1(sK4,sK5)
| ~ spl27_8
| ~ spl27_61 ),
inference(resolution,[],[f269,f549]) ).
fof(f269,plain,
( is_often_in(sK4,sK5,sK7)
| ~ spl27_8 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f2264,plain,
( ~ spl27_69
| spl27_282
| spl27_8
| ~ spl27_261 ),
inference(avatar_split_clause,[],[f2111,f2108,f268,f2261,f589]) ).
fof(f2108,plain,
( spl27_261
<=> ! [X0,X1] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| is_often_in(X1,sK5,X0)
| ~ sP1(X1,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_261])]) ).
fof(f2111,plain,
( apply_netmap(sK4,sK5,sK12(sK7,sK5,sK4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK7,sK5,sK4))
| ~ sP1(sK4,sK5)
| spl27_8
| ~ spl27_261 ),
inference(resolution,[],[f2109,f270]) ).
fof(f270,plain,
( ~ is_often_in(sK4,sK5,sK7)
| spl27_8 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f2109,plain,
( ! [X0,X1] :
( is_often_in(X1,sK5,X0)
| apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ sP1(X1,sK5) )
| ~ spl27_261 ),
inference(avatar_component_clause,[],[f2108]) ).
fof(f2259,plain,
( spl27_281
| ~ spl27_50
| ~ spl27_164 ),
inference(avatar_split_clause,[],[f1302,f1246,f465,f2257]) ).
fof(f1302,plain,
( ! [X0] :
( empty(X0)
| empty(sK8(X0))
| in(sK17(sK8(X0)),X0) )
| ~ spl27_50
| ~ spl27_164 ),
inference(duplicate_literal_removal,[],[f1297]) ).
fof(f1297,plain,
( ! [X0] :
( empty(X0)
| empty(sK8(X0))
| empty(X0)
| in(sK17(sK8(X0)),X0) )
| ~ spl27_50
| ~ spl27_164 ),
inference(resolution,[],[f1247,f466]) ).
fof(f2254,plain,
( spl27_3
| spl27_280
| ~ spl27_201
| ~ spl27_226 ),
inference(avatar_split_clause,[],[f1709,f1699,f1532,f2252,f244]) ).
fof(f1709,plain,
( ! [X0,X1] :
( empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,sK5,sK15(sK6,sK5,sK4))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,sK5,sK15(sK6,sK5,sK4)))
| ~ net_str(sK5,X0)
| empty_carrier(sK5)
| ~ one_sorted_str(X0)
| ~ net_str(X0,X1) )
| ~ spl27_201
| ~ spl27_226 ),
inference(resolution,[],[f1700,f1534]) ).
fof(f2234,plain,
( spl27_279
| spl27_1
| ~ spl27_2
| spl27_3
| ~ spl27_4
| ~ spl27_223 ),
inference(avatar_split_clause,[],[f1690,f1683,f249,f244,f239,f234,f2232]) ).
fof(f1690,plain,
( ! [X2,X3,X0,X1] :
( empty_carrier(sK5)
| ~ one_sorted_str(sK4)
| empty_carrier(sK4)
| sP2(X0,sK5,X1)
| apply_netmap(sK4,sK5,sK14(X0,sK5,X1,sK12(X2,sK5,X3))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X0,sK5,X1,sK12(X2,sK5,X3)))
| sP0(X2,sK5,X3) )
| ~ spl27_4
| ~ spl27_223 ),
inference(resolution,[],[f1684,f251]) ).
fof(f2227,plain,
( spl27_278
| spl27_3
| ~ spl27_201
| ~ spl27_224 ),
inference(avatar_split_clause,[],[f1693,f1687,f1532,f244,f2225]) ).
fof(f1693,plain,
( ! [X2,X0,X1] :
( empty_carrier(sK5)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X1,sK5,X2)
| apply_netmap(X0,sK5,sK14(X1,sK5,X2,sK15(sK6,sK5,sK4))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK14(X1,sK5,X2,sK15(sK6,sK5,sK4)))
| ~ net_str(sK5,X0) )
| ~ spl27_201
| ~ spl27_224 ),
inference(resolution,[],[f1688,f1534]) ).
fof(f2223,plain,
( spl27_3
| ~ spl27_59
| ~ spl27_45
| ~ spl27_275 ),
inference(avatar_split_clause,[],[f2206,f2202,f437,f524,f244]) ).
fof(f437,plain,
( spl27_45
<=> ! [X0] :
( ~ empty(sK16(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_45])]) ).
fof(f2206,plain,
( ~ one_sorted_str(sK5)
| empty_carrier(sK5)
| ~ spl27_45
| ~ spl27_275 ),
inference(resolution,[],[f2204,f438]) ).
fof(f438,plain,
( ! [X0] :
( ~ empty(sK16(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) )
| ~ spl27_45 ),
inference(avatar_component_clause,[],[f437]) ).
fof(f2204,plain,
( empty(sK16(sK5))
| ~ spl27_275 ),
inference(avatar_component_clause,[],[f2202]) ).
fof(f2222,plain,
( spl27_277
| ~ spl27_135
| ~ spl27_148 ),
inference(avatar_split_clause,[],[f1134,f1085,f999,f2220]) ).
fof(f1134,plain,
( ! [X2,X3,X0,X1] :
( element(apply_netmap(X0,X1,sK14(X2,X1,X3,sK15(sK6,X1,X0))),sK7)
| ~ element(sK14(X2,X1,X3,sK15(sK6,X1,X0)),the_carrier(X1))
| ~ sP2(sK6,X1,X0)
| sP2(X2,X1,X3)
| ~ element(sK15(sK6,X1,X0),the_carrier(X1)) )
| ~ spl27_135
| ~ spl27_148 ),
inference(resolution,[],[f1000,f1086]) ).
fof(f2218,plain,
( spl27_276
| ~ spl27_135
| ~ spl27_147 ),
inference(avatar_split_clause,[],[f1133,f1081,f999,f2216]) ).
fof(f1133,plain,
( ! [X2,X3,X0,X1] :
( element(apply_netmap(X0,X1,sK13(X2,X1,X3,sK15(sK6,X1,X0))),sK7)
| ~ element(sK13(X2,X1,X3,sK15(sK6,X1,X0)),the_carrier(X1))
| ~ sP2(sK6,X1,X0)
| ~ element(sK15(sK6,X1,X0),the_carrier(X1))
| ~ sP0(X2,X1,X3) )
| ~ spl27_135
| ~ spl27_147 ),
inference(resolution,[],[f1000,f1082]) ).
fof(f2205,plain,
( spl27_274
| spl27_275
| spl27_3
| ~ spl27_59
| ~ spl27_159
| ~ spl27_174 ),
inference(avatar_split_clause,[],[f1351,f1340,f1200,f524,f244,f2202,f2199]) ).
fof(f2199,plain,
( spl27_274
<=> ! [X0] :
( apply_netmap(X0,sK5,sK13(sK6,sK5,sK4,sK17(sK16(sK5)))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK6,sK5,sK4,sK17(sK16(sK5))))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ net_str(sK5,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_274])]) ).
fof(f1351,plain,
( ! [X0] :
( ~ one_sorted_str(sK5)
| empty_carrier(sK5)
| empty(sK16(sK5))
| apply_netmap(X0,sK5,sK13(sK6,sK5,sK4,sK17(sK16(sK5)))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK6,sK5,sK4,sK17(sK16(sK5))))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0) )
| ~ spl27_159
| ~ spl27_174 ),
inference(resolution,[],[f1341,f1201]) ).
fof(f2194,plain,
( spl27_273
| ~ spl27_66
| ~ spl27_159 ),
inference(avatar_split_clause,[],[f1209,f1200,f568,f2192]) ).
fof(f2190,plain,
( spl27_272
| ~ spl27_63
| ~ spl27_159 ),
inference(avatar_split_clause,[],[f1206,f1200,f556,f2188]) ).
fof(f2180,plain,
( spl27_271
| ~ spl27_47
| ~ spl27_154 ),
inference(avatar_split_clause,[],[f1174,f1170,f445,f2178]) ).
fof(f1174,plain,
( ! [X0,X1] :
( ~ empty(X0)
| sK17(powerset(X0)) = X1
| ~ empty(X1) )
| ~ spl27_47
| ~ spl27_154 ),
inference(resolution,[],[f1171,f446]) ).
fof(f2163,plain,
( ~ spl27_2
| spl27_3
| spl27_270
| spl27_1
| ~ spl27_4
| ~ spl27_215 ),
inference(avatar_split_clause,[],[f1621,f1618,f249,f234,f2161,f244,f239]) ).
fof(f2161,plain,
( spl27_270
<=> ! [X0] :
( ~ one_sorted_str(X0)
| ~ net_str(sK4,X0)
| apply_netmap(X0,sK4,apply_netmap(sK4,sK5,sK17(the_carrier(sK5)))) = apply_on_structs(sK4,X0,the_mapping(X0,sK4),apply_netmap(sK4,sK5,sK17(the_carrier(sK5))))
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_270])]) ).
fof(f1621,plain,
( ! [X0] :
( empty_carrier(sK4)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,sK4,apply_netmap(sK4,sK5,sK17(the_carrier(sK5)))) = apply_on_structs(sK4,X0,the_mapping(X0,sK4),apply_netmap(sK4,sK5,sK17(the_carrier(sK5))))
| ~ net_str(sK4,X0)
| empty_carrier(sK5)
| ~ one_sorted_str(sK4) )
| ~ spl27_4
| ~ spl27_215 ),
inference(resolution,[],[f1619,f251]) ).
fof(f2155,plain,
( spl27_269
| spl27_1
| ~ spl27_2
| spl27_3
| ~ spl27_4
| ~ spl27_213 ),
inference(avatar_split_clause,[],[f1613,f1606,f249,f244,f239,f234,f2153]) ).
fof(f1613,plain,
( ! [X0,X1] :
( empty_carrier(sK5)
| ~ one_sorted_str(sK4)
| empty_carrier(sK4)
| sP2(X0,sK5,X1)
| apply_netmap(sK4,sK5,sK14(X0,sK5,X1,sK17(the_carrier(sK5)))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK14(X0,sK5,X1,sK17(the_carrier(sK5)))) )
| ~ spl27_4
| ~ spl27_213 ),
inference(resolution,[],[f1607,f251]) ).
fof(f2151,plain,
( spl27_268
| ~ spl27_95
| ~ spl27_162 ),
inference(avatar_split_clause,[],[f1240,f1230,f760,f2149]) ).
fof(f2149,plain,
( spl27_268
<=> ! [X0,X1] :
( ~ empty(cartesian_product2(X0,X1))
| empty(sK19(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_268])]) ).
fof(f1240,plain,
( ! [X0,X1] :
( ~ empty(cartesian_product2(X0,X1))
| empty(sK19(X0,X1)) )
| ~ spl27_95
| ~ spl27_162 ),
inference(resolution,[],[f1231,f761]) ).
fof(f2147,plain,
( spl27_267
| ~ spl27_95
| ~ spl27_160 ),
inference(avatar_split_clause,[],[f1236,f1212,f760,f2145]) ).
fof(f2145,plain,
( spl27_267
<=> ! [X0,X1] :
( ~ empty(cartesian_product2(X0,X1))
| empty(sK20(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_267])]) ).
fof(f1236,plain,
( ! [X0,X1] :
( ~ empty(cartesian_product2(X0,X1))
| empty(sK20(X0,X1)) )
| ~ spl27_95
| ~ spl27_160 ),
inference(resolution,[],[f1213,f761]) ).
fof(f2143,plain,
( spl27_266
| ~ spl27_9
| ~ spl27_87
| ~ spl27_262 ),
inference(avatar_split_clause,[],[f2124,f2117,f688,f273,f2140]) ).
fof(f2140,plain,
( spl27_266
<=> sK24 = sK17(powerset(sK24)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_266])]) ).
fof(f2124,plain,
( sK24 = sK17(powerset(sK24))
| ~ spl27_9
| ~ spl27_87
| ~ spl27_262 ),
inference(forward_demodulation,[],[f2120,f690]) ).
fof(f2120,plain,
( sK24 = sK17(powerset(empty_set))
| ~ spl27_9
| ~ spl27_262 ),
inference(resolution,[],[f2118,f275]) ).
fof(f2138,plain,
( spl27_265
| ~ spl27_52
| ~ spl27_158 ),
inference(avatar_split_clause,[],[f1198,f1193,f473,f2136]) ).
fof(f2136,plain,
( spl27_265
<=> ! [X0,X1] :
( finite(sK19(X0,X1))
| ~ finite(X1)
| ~ finite(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_265])]) ).
fof(f1193,plain,
( spl27_158
<=> ! [X0,X1] :
( finite(sK19(X0,X1))
| ~ finite(cartesian_product2(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_158])]) ).
fof(f1198,plain,
( ! [X0,X1] :
( finite(sK19(X0,X1))
| ~ finite(X1)
| ~ finite(X0) )
| ~ spl27_52
| ~ spl27_158 ),
inference(resolution,[],[f1194,f474]) ).
fof(f1194,plain,
( ! [X0,X1] :
( ~ finite(cartesian_product2(X0,X1))
| finite(sK19(X0,X1)) )
| ~ spl27_158 ),
inference(avatar_component_clause,[],[f1193]) ).
fof(f2134,plain,
( spl27_264
| ~ spl27_52
| ~ spl27_157 ),
inference(avatar_split_clause,[],[f1197,f1189,f473,f2132]) ).
fof(f2132,plain,
( spl27_264
<=> ! [X0,X1] :
( finite(sK20(X0,X1))
| ~ finite(X1)
| ~ finite(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_264])]) ).
fof(f1189,plain,
( spl27_157
<=> ! [X0,X1] :
( finite(sK20(X0,X1))
| ~ finite(cartesian_product2(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_157])]) ).
fof(f1197,plain,
( ! [X0,X1] :
( finite(sK20(X0,X1))
| ~ finite(X1)
| ~ finite(X0) )
| ~ spl27_52
| ~ spl27_157 ),
inference(resolution,[],[f1190,f474]) ).
fof(f1190,plain,
( ! [X0,X1] :
( ~ finite(cartesian_product2(X0,X1))
| finite(sK20(X0,X1)) )
| ~ spl27_157 ),
inference(avatar_component_clause,[],[f1189]) ).
fof(f2129,plain,
( spl27_263
| ~ spl27_23
| ~ spl27_159 ),
inference(avatar_split_clause,[],[f1210,f1200,f338,f2127]) ).
fof(f1210,plain,
( ! [X0] :
( apply_netmap(X0,sK5,sK13(sK6,sK5,sK4,sK17(the_carrier(sK5)))) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK6,sK5,sK4,sK17(the_carrier(sK5))))
| ~ net_str(sK5,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0) )
| ~ spl27_23
| ~ spl27_159 ),
inference(resolution,[],[f1201,f339]) ).
fof(f2119,plain,
( spl27_262
| ~ spl27_91
| ~ spl27_154 ),
inference(avatar_split_clause,[],[f1173,f1170,f709,f2117]) ).
fof(f1173,plain,
( ! [X0] :
( ~ empty(X0)
| sK24 = sK17(powerset(X0)) )
| ~ spl27_91
| ~ spl27_154 ),
inference(resolution,[],[f1171,f710]) ).
fof(f2110,plain,
( spl27_261
| ~ spl27_62
| ~ spl27_155 ),
inference(avatar_split_clause,[],[f1183,f1177,f552,f2108]) ).
fof(f1183,plain,
( ! [X0,X1] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| is_often_in(X1,sK5,X0)
| ~ sP1(X1,sK5) )
| ~ spl27_62
| ~ spl27_155 ),
inference(resolution,[],[f1178,f553]) ).
fof(f2106,plain,
( spl27_260
| ~ spl27_22
| ~ spl27_154 ),
inference(avatar_split_clause,[],[f1175,f1170,f334,f2104]) ).
fof(f2104,plain,
( spl27_260
<=> ! [X0] :
( ~ empty(X0)
| finite(sK17(powerset(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_260])]) ).
fof(f1175,plain,
( ! [X0] :
( ~ empty(X0)
| finite(sK17(powerset(X0))) )
| ~ spl27_22
| ~ spl27_154 ),
inference(resolution,[],[f1171,f335]) ).
fof(f2096,plain,
( spl27_143
| spl27_259
| ~ spl27_117
| ~ spl27_155 ),
inference(avatar_split_clause,[],[f1182,f1177,f875,f2094,f1041]) ).
fof(f1182,plain,
( ! [X2,X0,X1] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| ~ element(X2,the_carrier(sK5))
| ~ empty(X0) )
| ~ spl27_117
| ~ spl27_155 ),
inference(resolution,[],[f1178,f876]) ).
fof(f2088,plain,
( spl27_258
| ~ spl27_83
| ~ spl27_144 ),
inference(avatar_split_clause,[],[f1070,f1059,f664,f2086]) ).
fof(f1070,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_on_structs(X3,X2,X4,X5))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_on_structs(X3,X2,X4,X5)))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ element(X5,the_carrier(X3))
| ~ relation_of2(X4,the_carrier(X3),the_carrier(X2))
| ~ quasi_total(X4,the_carrier(X3),the_carrier(X2))
| ~ function(X4)
| ~ one_sorted_str(X2)
| ~ one_sorted_str(X3)
| empty_carrier(X3) )
| ~ spl27_83
| ~ spl27_144 ),
inference(duplicate_literal_removal,[],[f1064]) ).
fof(f1064,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_on_structs(X3,X2,X4,X5))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_on_structs(X3,X2,X4,X5)))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ element(X5,the_carrier(X3))
| ~ relation_of2(X4,the_carrier(X3),the_carrier(X2))
| ~ quasi_total(X4,the_carrier(X3),the_carrier(X2))
| ~ function(X4)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| ~ one_sorted_str(X3)
| empty_carrier(X3) )
| ~ spl27_83
| ~ spl27_144 ),
inference(resolution,[],[f1060,f665]) ).
fof(f2080,plain,
( spl27_257
| ~ spl27_83
| ~ spl27_140 ),
inference(avatar_split_clause,[],[f1053,f1029,f664,f2078]) ).
fof(f1053,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_on_structs(X4,X0,X5,X6))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_on_structs(X4,X0,X5,X6)))
| ~ element(X6,the_carrier(X4))
| ~ relation_of2(X5,the_carrier(X4),the_carrier(X0))
| ~ quasi_total(X5,the_carrier(X4),the_carrier(X0))
| ~ function(X5)
| ~ one_sorted_str(X0)
| ~ one_sorted_str(X4)
| empty_carrier(X4) )
| ~ spl27_83
| ~ spl27_140 ),
inference(duplicate_literal_removal,[],[f1047]) ).
fof(f1047,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_on_structs(X4,X0,X5,X6))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_on_structs(X4,X0,X5,X6)))
| ~ element(X6,the_carrier(X4))
| ~ relation_of2(X5,the_carrier(X4),the_carrier(X0))
| ~ quasi_total(X5,the_carrier(X4),the_carrier(X0))
| ~ function(X5)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ one_sorted_str(X4)
| empty_carrier(X4) )
| ~ spl27_83
| ~ spl27_140 ),
inference(resolution,[],[f1030,f665]) ).
fof(f2076,plain,
( spl27_256
| ~ spl27_96
| ~ spl27_150 ),
inference(avatar_split_clause,[],[f1130,f1125,f764,f2074]) ).
fof(f2074,plain,
( spl27_256
<=> ! [X0,X3,X2,X1] :
( ~ element(X0,the_carrier(X1))
| ~ quasi_total(sK20(the_carrier(X1),the_carrier(X2)),the_carrier(X1),the_carrier(X2))
| ~ function(sK20(the_carrier(X1),the_carrier(X2)))
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X3,X2,apply_on_structs(X1,X2,sK20(the_carrier(X1),the_carrier(X2)),X0)) = apply_on_structs(X2,X3,the_mapping(X3,X2),apply_on_structs(X1,X2,sK20(the_carrier(X1),the_carrier(X2)),X0))
| ~ net_str(X2,X3)
| ~ one_sorted_str(X3)
| empty_carrier(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_256])]) ).
fof(f1130,plain,
( ! [X2,X3,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ quasi_total(sK20(the_carrier(X1),the_carrier(X2)),the_carrier(X1),the_carrier(X2))
| ~ function(sK20(the_carrier(X1),the_carrier(X2)))
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X3,X2,apply_on_structs(X1,X2,sK20(the_carrier(X1),the_carrier(X2)),X0)) = apply_on_structs(X2,X3,the_mapping(X3,X2),apply_on_structs(X1,X2,sK20(the_carrier(X1),the_carrier(X2)),X0))
| ~ net_str(X2,X3)
| ~ one_sorted_str(X3)
| empty_carrier(X3) )
| ~ spl27_96
| ~ spl27_150 ),
inference(resolution,[],[f1126,f765]) ).
fof(f2072,plain,
( spl27_255
| ~ spl27_37
| ~ spl27_150 ),
inference(avatar_split_clause,[],[f1129,f1125,f404,f2070]) ).
fof(f2070,plain,
( spl27_255
<=> ! [X0,X3,X2,X1] :
( ~ element(X0,the_carrier(X1))
| ~ quasi_total(sK19(the_carrier(X1),the_carrier(X2)),the_carrier(X1),the_carrier(X2))
| ~ function(sK19(the_carrier(X1),the_carrier(X2)))
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X3,X2,apply_on_structs(X1,X2,sK19(the_carrier(X1),the_carrier(X2)),X0)) = apply_on_structs(X2,X3,the_mapping(X3,X2),apply_on_structs(X1,X2,sK19(the_carrier(X1),the_carrier(X2)),X0))
| ~ net_str(X2,X3)
| ~ one_sorted_str(X3)
| empty_carrier(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_255])]) ).
fof(f1129,plain,
( ! [X2,X3,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ quasi_total(sK19(the_carrier(X1),the_carrier(X2)),the_carrier(X1),the_carrier(X2))
| ~ function(sK19(the_carrier(X1),the_carrier(X2)))
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X3,X2,apply_on_structs(X1,X2,sK19(the_carrier(X1),the_carrier(X2)),X0)) = apply_on_structs(X2,X3,the_mapping(X3,X2),apply_on_structs(X1,X2,sK19(the_carrier(X1),the_carrier(X2)),X0))
| ~ net_str(X2,X3)
| ~ one_sorted_str(X3)
| empty_carrier(X3) )
| ~ spl27_37
| ~ spl27_150 ),
inference(resolution,[],[f1126,f405]) ).
fof(f2063,plain,
( spl27_254
| ~ spl27_130
| ~ spl27_144 ),
inference(avatar_split_clause,[],[f1063,f1059,f968,f2061]) ).
fof(f1063,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X3,X4,sK13(the_carrier(X2),X4,X3,X5)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X3,X4,sK13(the_carrier(X2),X4,X3,X5))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ sP0(the_carrier(X2),X4,X3)
| ~ element(X5,the_carrier(X4)) )
| ~ spl27_130
| ~ spl27_144 ),
inference(resolution,[],[f1060,f969]) ).
fof(f2055,plain,
( spl27_253
| ~ spl27_125
| ~ spl27_150 ),
inference(avatar_split_clause,[],[f1131,f1125,f932,f2053]) ).
fof(f1131,plain,
( ! [X2,X3,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ quasi_total(the_mapping(X2,X1),the_carrier(X1),the_carrier(X2))
| ~ function(the_mapping(X2,X1))
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X3,X2,apply_on_structs(X1,X2,the_mapping(X2,X1),X0)) = apply_on_structs(X2,X3,the_mapping(X3,X2),apply_on_structs(X1,X2,the_mapping(X2,X1),X0))
| ~ net_str(X2,X3)
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| ~ net_str(X1,X2) )
| ~ spl27_125
| ~ spl27_150 ),
inference(duplicate_literal_removal,[],[f1128]) ).
fof(f1128,plain,
( ! [X2,X3,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ quasi_total(the_mapping(X2,X1),the_carrier(X1),the_carrier(X2))
| ~ function(the_mapping(X2,X1))
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X3,X2,apply_on_structs(X1,X2,the_mapping(X2,X1),X0)) = apply_on_structs(X2,X3,the_mapping(X3,X2),apply_on_structs(X1,X2,the_mapping(X2,X1),X0))
| ~ net_str(X2,X3)
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| ~ net_str(X1,X2) )
| ~ spl27_125
| ~ spl27_150 ),
inference(resolution,[],[f1126,f933]) ).
fof(f2051,plain,
( spl27_252
| ~ spl27_130
| ~ spl27_140 ),
inference(avatar_split_clause,[],[f1046,f1029,f968,f2049]) ).
fof(f1046,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X4,X5,sK13(the_carrier(X0),X5,X4,X6)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X4,X5,sK13(the_carrier(X0),X5,X4,X6))))
| ~ sP0(the_carrier(X0),X5,X4)
| ~ element(X6,the_carrier(X5)) )
| ~ spl27_130
| ~ spl27_140 ),
inference(resolution,[],[f1030,f969]) ).
fof(f2047,plain,
( spl27_251
| ~ spl27_129
| ~ spl27_146 ),
inference(avatar_split_clause,[],[f1096,f1077,f960,f2045]) ).
fof(f2045,plain,
( spl27_251
<=> ! [X5,X4,X0,X3,X2,X1] :
( sP0(powerset(cartesian_product2(X0,X1)),X2,X3)
| ~ element(sK14(X4,X2,X5,sK12(powerset(cartesian_product2(X0,X1)),X2,X3)),the_carrier(X2))
| sP2(X4,X2,X5)
| ~ element(sK12(powerset(cartesian_product2(X0,X1)),X2,X3),the_carrier(X2))
| empty(powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(apply_netmap(X3,X2,sK14(X4,X2,X5,sK12(powerset(cartesian_product2(X0,X1)),X2,X3))),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_251])]) ).
fof(f1077,plain,
( spl27_146
<=> ! [X2,X4,X0,X3,X1] :
( ~ in(apply_netmap(X0,X1,sK14(X2,X1,X3,sK12(X4,X1,X0))),X4)
| sP0(X4,X1,X0)
| ~ element(sK14(X2,X1,X3,sK12(X4,X1,X0)),the_carrier(X1))
| sP2(X2,X1,X3)
| ~ element(sK12(X4,X1,X0),the_carrier(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_146])]) ).
fof(f1096,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( sP0(powerset(cartesian_product2(X0,X1)),X2,X3)
| ~ element(sK14(X4,X2,X5,sK12(powerset(cartesian_product2(X0,X1)),X2,X3)),the_carrier(X2))
| sP2(X4,X2,X5)
| ~ element(sK12(powerset(cartesian_product2(X0,X1)),X2,X3),the_carrier(X2))
| empty(powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(apply_netmap(X3,X2,sK14(X4,X2,X5,sK12(powerset(cartesian_product2(X0,X1)),X2,X3))),X0,X1) )
| ~ spl27_129
| ~ spl27_146 ),
inference(resolution,[],[f1078,f961]) ).
fof(f1078,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ in(apply_netmap(X0,X1,sK14(X2,X1,X3,sK12(X4,X1,X0))),X4)
| sP0(X4,X1,X0)
| ~ element(sK14(X2,X1,X3,sK12(X4,X1,X0)),the_carrier(X1))
| sP2(X2,X1,X3)
| ~ element(sK12(X4,X1,X0),the_carrier(X1)) )
| ~ spl27_146 ),
inference(avatar_component_clause,[],[f1077]) ).
fof(f2043,plain,
( spl27_250
| ~ spl27_129
| ~ spl27_145 ),
inference(avatar_split_clause,[],[f1091,f1073,f960,f2041]) ).
fof(f2041,plain,
( spl27_250
<=> ! [X5,X4,X0,X3,X2,X1] :
( sP0(powerset(cartesian_product2(X0,X1)),X2,X3)
| ~ element(sK13(X4,X2,X5,sK12(powerset(cartesian_product2(X0,X1)),X2,X3)),the_carrier(X2))
| ~ element(sK12(powerset(cartesian_product2(X0,X1)),X2,X3),the_carrier(X2))
| ~ sP0(X4,X2,X5)
| empty(powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(apply_netmap(X3,X2,sK13(X4,X2,X5,sK12(powerset(cartesian_product2(X0,X1)),X2,X3))),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_250])]) ).
fof(f1091,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( sP0(powerset(cartesian_product2(X0,X1)),X2,X3)
| ~ element(sK13(X4,X2,X5,sK12(powerset(cartesian_product2(X0,X1)),X2,X3)),the_carrier(X2))
| ~ element(sK12(powerset(cartesian_product2(X0,X1)),X2,X3),the_carrier(X2))
| ~ sP0(X4,X2,X5)
| empty(powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(apply_netmap(X3,X2,sK13(X4,X2,X5,sK12(powerset(cartesian_product2(X0,X1)),X2,X3))),X0,X1) )
| ~ spl27_129
| ~ spl27_145 ),
inference(resolution,[],[f1074,f961]) ).
fof(f2003,plain,
( ~ spl27_2
| spl27_1
| spl27_249
| ~ spl27_4
| ~ spl27_202 ),
inference(avatar_split_clause,[],[f1542,f1539,f249,f2000,f234,f239]) ).
fof(f1539,plain,
( spl27_202
<=> ! [X0] :
( ~ net_str(sK5,X0)
| apply_netmap(X0,sK5,sK15(sK6,sK5,sK4)) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK15(sK6,sK5,sK4))
| empty_carrier(X0)
| ~ one_sorted_str(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_202])]) ).
fof(f1542,plain,
( apply_netmap(sK4,sK5,sK15(sK6,sK5,sK4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK15(sK6,sK5,sK4))
| empty_carrier(sK4)
| ~ one_sorted_str(sK4)
| ~ spl27_4
| ~ spl27_202 ),
inference(resolution,[],[f1540,f251]) ).
fof(f1540,plain,
( ! [X0] :
( ~ net_str(sK5,X0)
| apply_netmap(X0,sK5,sK15(sK6,sK5,sK4)) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK15(sK6,sK5,sK4))
| empty_carrier(X0)
| ~ one_sorted_str(X0) )
| ~ spl27_202 ),
inference(avatar_component_clause,[],[f1539]) ).
fof(f1998,plain,
( spl27_248
| ~ spl27_79
| ~ spl27_144 ),
inference(avatar_split_clause,[],[f1071,f1059,f636,f1996]) ).
fof(f1071,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,X4))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,X4)))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ element(X4,the_carrier(X3))
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2) )
| ~ spl27_79
| ~ spl27_144 ),
inference(duplicate_literal_removal,[],[f1062]) ).
fof(f1062,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,apply_netmap(X2,X3,X4))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,apply_netmap(X2,X3,X4)))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ element(X4,the_carrier(X3))
| ~ net_str(X3,X2)
| empty_carrier(X3)
| ~ one_sorted_str(X2)
| empty_carrier(X2) )
| ~ spl27_79
| ~ spl27_144 ),
inference(resolution,[],[f1060,f637]) ).
fof(f1919,plain,
( spl27_247
| ~ spl27_75
| ~ spl27_144 ),
inference(avatar_split_clause,[],[f1067,f1059,f615,f1917]) ).
fof(f1067,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK14(X3,X2,X4,X5))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK14(X3,X2,X4,X5)))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP2(X3,X2,X4)
| ~ element(X5,the_carrier(X2)) )
| ~ spl27_75
| ~ spl27_144 ),
inference(resolution,[],[f1060,f616]) ).
fof(f1915,plain,
( spl27_246
| ~ spl27_73
| ~ spl27_144 ),
inference(avatar_split_clause,[],[f1066,f1059,f607,f1913]) ).
fof(f1066,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK13(X3,X2,X4,X5))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK13(X3,X2,X4,X5)))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ element(X5,the_carrier(X2))
| ~ sP0(X3,X2,X4) )
| ~ spl27_73
| ~ spl27_144 ),
inference(resolution,[],[f1060,f608]) ).
fof(f1911,plain,
( spl27_245
| ~ spl27_79
| ~ spl27_140 ),
inference(avatar_split_clause,[],[f1054,f1029,f636,f1909]) ).
fof(f1054,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,X5))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,X5)))
| ~ element(X5,the_carrier(X4))
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0) )
| ~ spl27_79
| ~ spl27_140 ),
inference(duplicate_literal_removal,[],[f1045]) ).
fof(f1045,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,apply_netmap(X0,X4,X5))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,apply_netmap(X0,X4,X5)))
| ~ element(X5,the_carrier(X4))
| ~ net_str(X4,X0)
| empty_carrier(X4)
| ~ one_sorted_str(X0)
| empty_carrier(X0) )
| ~ spl27_79
| ~ spl27_140 ),
inference(resolution,[],[f1030,f637]) ).
fof(f1868,plain,
( spl27_244
| ~ spl27_75
| ~ spl27_140 ),
inference(avatar_split_clause,[],[f1050,f1029,f615,f1866]) ).
fof(f1050,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK14(X4,X0,X5,X6))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK14(X4,X0,X5,X6)))
| sP2(X4,X0,X5)
| ~ element(X6,the_carrier(X0)) )
| ~ spl27_75
| ~ spl27_140 ),
inference(resolution,[],[f1030,f616]) ).
fof(f1861,plain,
( spl27_243
| ~ spl27_73
| ~ spl27_140 ),
inference(avatar_split_clause,[],[f1049,f1029,f607,f1859]) ).
fof(f1049,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK13(X4,X0,X5,X6))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK13(X4,X0,X5,X6)))
| ~ element(X6,the_carrier(X0))
| ~ sP0(X4,X0,X5) )
| ~ spl27_73
| ~ spl27_140 ),
inference(resolution,[],[f1030,f608]) ).
fof(f1841,plain,
( spl27_242
| ~ spl27_122
| ~ spl27_148 ),
inference(avatar_split_clause,[],[f1115,f1085,f915,f1839]) ).
fof(f1115,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ element(sK14(X0,X1,X2,sK15(sK16(X3),X1,X4)),the_carrier(X1))
| ~ sP2(sK16(X3),X1,X4)
| sP2(X0,X1,X2)
| ~ element(sK15(sK16(X3),X1,X4),the_carrier(X1))
| element(apply_netmap(X4,X1,sK14(X0,X1,X2,sK15(sK16(X3),X1,X4))),the_carrier(X3))
| ~ one_sorted_str(X3)
| empty_carrier(X3) )
| ~ spl27_122
| ~ spl27_148 ),
inference(resolution,[],[f1086,f916]) ).
fof(f1837,plain,
( spl27_241
| ~ spl27_122
| ~ spl27_147 ),
inference(avatar_split_clause,[],[f1104,f1081,f915,f1835]) ).
fof(f1104,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ element(sK13(X0,X1,X2,sK15(sK16(X3),X1,X4)),the_carrier(X1))
| ~ sP2(sK16(X3),X1,X4)
| ~ element(sK15(sK16(X3),X1,X4),the_carrier(X1))
| ~ sP0(X0,X1,X2)
| element(apply_netmap(X4,X1,sK13(X0,X1,X2,sK15(sK16(X3),X1,X4))),the_carrier(X3))
| ~ one_sorted_str(X3)
| empty_carrier(X3) )
| ~ spl27_122
| ~ spl27_147 ),
inference(resolution,[],[f1082,f916]) ).
fof(f1817,plain,
( spl27_240
| ~ spl27_104
| ~ spl27_148 ),
inference(avatar_split_clause,[],[f1116,f1085,f810,f1815]) ).
fof(f1116,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ element(sK14(X0,X1,X2,sK15(sK17(powerset(X3)),X1,X4)),the_carrier(X1))
| ~ sP2(sK17(powerset(X3)),X1,X4)
| sP2(X0,X1,X2)
| ~ element(sK15(sK17(powerset(X3)),X1,X4),the_carrier(X1))
| element(apply_netmap(X4,X1,sK14(X0,X1,X2,sK15(sK17(powerset(X3)),X1,X4))),X3) )
| ~ spl27_104
| ~ spl27_148 ),
inference(resolution,[],[f1086,f811]) ).
fof(f1813,plain,
( spl27_239
| ~ spl27_104
| ~ spl27_147 ),
inference(avatar_split_clause,[],[f1105,f1081,f810,f1811]) ).
fof(f1105,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ element(sK13(X0,X1,X2,sK15(sK17(powerset(X3)),X1,X4)),the_carrier(X1))
| ~ sP2(sK17(powerset(X3)),X1,X4)
| ~ element(sK15(sK17(powerset(X3)),X1,X4),the_carrier(X1))
| ~ sP0(X0,X1,X2)
| element(apply_netmap(X4,X1,sK13(X0,X1,X2,sK15(sK17(powerset(X3)),X1,X4))),X3) )
| ~ spl27_104
| ~ spl27_147 ),
inference(resolution,[],[f1082,f811]) ).
fof(f1809,plain,
( spl27_238
| spl27_143
| ~ spl27_155
| ~ spl27_156 ),
inference(avatar_split_clause,[],[f1196,f1185,f1177,f1041,f1807]) ).
fof(f1196,plain,
( ! [X0,X1] :
( ~ element(X0,the_carrier(sK5))
| apply_netmap(sK4,sK5,sK12(sK24,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK24,sK5,X1)) )
| ~ spl27_155
| ~ spl27_156 ),
inference(resolution,[],[f1186,f1178]) ).
fof(f1803,plain,
( spl27_237
| ~ spl27_111
| ~ spl27_146 ),
inference(avatar_split_clause,[],[f1095,f1077,f851,f1801]) ).
fof(f1801,plain,
( spl27_237
<=> ! [X4,X0,X3,X2,X1] :
( sP0(powerset(X0),X1,X2)
| ~ element(sK14(X3,X1,X4,sK12(powerset(X0),X1,X2)),the_carrier(X1))
| sP2(X3,X1,X4)
| ~ element(sK12(powerset(X0),X1,X2),the_carrier(X1))
| empty(powerset(X0))
| ~ subset(apply_netmap(X2,X1,sK14(X3,X1,X4,sK12(powerset(X0),X1,X2))),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_237])]) ).
fof(f1095,plain,
( ! [X2,X3,X0,X1,X4] :
( sP0(powerset(X0),X1,X2)
| ~ element(sK14(X3,X1,X4,sK12(powerset(X0),X1,X2)),the_carrier(X1))
| sP2(X3,X1,X4)
| ~ element(sK12(powerset(X0),X1,X2),the_carrier(X1))
| empty(powerset(X0))
| ~ subset(apply_netmap(X2,X1,sK14(X3,X1,X4,sK12(powerset(X0),X1,X2))),X0) )
| ~ spl27_111
| ~ spl27_146 ),
inference(resolution,[],[f1078,f852]) ).
fof(f1799,plain,
( spl27_236
| ~ spl27_111
| ~ spl27_145 ),
inference(avatar_split_clause,[],[f1090,f1073,f851,f1797]) ).
fof(f1797,plain,
( spl27_236
<=> ! [X4,X0,X3,X2,X1] :
( sP0(powerset(X0),X1,X2)
| ~ element(sK13(X3,X1,X4,sK12(powerset(X0),X1,X2)),the_carrier(X1))
| ~ element(sK12(powerset(X0),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| empty(powerset(X0))
| ~ subset(apply_netmap(X2,X1,sK13(X3,X1,X4,sK12(powerset(X0),X1,X2))),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_236])]) ).
fof(f1090,plain,
( ! [X2,X3,X0,X1,X4] :
( sP0(powerset(X0),X1,X2)
| ~ element(sK13(X3,X1,X4,sK12(powerset(X0),X1,X2)),the_carrier(X1))
| ~ element(sK12(powerset(X0),X1,X2),the_carrier(X1))
| ~ sP0(X3,X1,X4)
| empty(powerset(X0))
| ~ subset(apply_netmap(X2,X1,sK13(X3,X1,X4,sK12(powerset(X0),X1,X2))),X0) )
| ~ spl27_111
| ~ spl27_145 ),
inference(resolution,[],[f1074,f852]) ).
fof(f1795,plain,
( spl27_235
| ~ spl27_82
| ~ spl27_130 ),
inference(avatar_split_clause,[],[f979,f968,f653,f1793]) ).
fof(f979,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sP0(the_carrier(X0),X1,X2)
| ~ element(X3,the_carrier(X1))
| apply_netmap(X4,X0,apply_netmap(X2,X1,sK13(the_carrier(X0),X1,X2,X3))) = apply_on_structs(X0,X4,the_mapping(X4,X0),apply_netmap(X2,X1,sK13(the_carrier(X0),X1,X2,X3)))
| ~ net_str(X0,X4)
| empty_carrier(X0)
| ~ one_sorted_str(X4)
| empty_carrier(X4) )
| ~ spl27_82
| ~ spl27_130 ),
inference(resolution,[],[f969,f654]) ).
fof(f1737,plain,
( spl27_234
| ~ spl27_110
| ~ spl27_148 ),
inference(avatar_split_clause,[],[f1114,f1085,f839,f1735]) ).
fof(f1114,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ element(sK14(X0,X1,X2,sK15(sK10(X3),X1,X4)),the_carrier(X1))
| ~ sP2(sK10(X3),X1,X4)
| sP2(X0,X1,X2)
| ~ element(sK15(sK10(X3),X1,X4),the_carrier(X1))
| element(apply_netmap(X4,X1,sK14(X0,X1,X2,sK15(sK10(X3),X1,X4))),X3)
| empty(X3) )
| ~ spl27_110
| ~ spl27_148 ),
inference(resolution,[],[f1086,f840]) ).
fof(f1733,plain,
( spl27_233
| ~ spl27_109
| ~ spl27_148 ),
inference(avatar_split_clause,[],[f1113,f1085,f835,f1731]) ).
fof(f1113,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ element(sK14(X0,X1,X2,sK15(sK9(X3),X1,X4)),the_carrier(X1))
| ~ sP2(sK9(X3),X1,X4)
| sP2(X0,X1,X2)
| ~ element(sK15(sK9(X3),X1,X4),the_carrier(X1))
| element(apply_netmap(X4,X1,sK14(X0,X1,X2,sK15(sK9(X3),X1,X4))),X3)
| empty(X3) )
| ~ spl27_109
| ~ spl27_148 ),
inference(resolution,[],[f1086,f836]) ).
fof(f1729,plain,
( spl27_232
| ~ spl27_108
| ~ spl27_148 ),
inference(avatar_split_clause,[],[f1112,f1085,f831,f1727]) ).
fof(f1112,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ element(sK14(X0,X1,X2,sK15(sK8(X3),X1,X4)),the_carrier(X1))
| ~ sP2(sK8(X3),X1,X4)
| sP2(X0,X1,X2)
| ~ element(sK15(sK8(X3),X1,X4),the_carrier(X1))
| element(apply_netmap(X4,X1,sK14(X0,X1,X2,sK15(sK8(X3),X1,X4))),X3)
| empty(X3) )
| ~ spl27_108
| ~ spl27_148 ),
inference(resolution,[],[f1086,f832]) ).
fof(f1725,plain,
( spl27_231
| ~ spl27_110
| ~ spl27_147 ),
inference(avatar_split_clause,[],[f1103,f1081,f839,f1723]) ).
fof(f1103,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ element(sK13(X0,X1,X2,sK15(sK10(X3),X1,X4)),the_carrier(X1))
| ~ sP2(sK10(X3),X1,X4)
| ~ element(sK15(sK10(X3),X1,X4),the_carrier(X1))
| ~ sP0(X0,X1,X2)
| element(apply_netmap(X4,X1,sK13(X0,X1,X2,sK15(sK10(X3),X1,X4))),X3)
| empty(X3) )
| ~ spl27_110
| ~ spl27_147 ),
inference(resolution,[],[f1082,f840]) ).
fof(f1721,plain,
( spl27_230
| ~ spl27_109
| ~ spl27_147 ),
inference(avatar_split_clause,[],[f1102,f1081,f835,f1719]) ).
fof(f1102,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ element(sK13(X0,X1,X2,sK15(sK9(X3),X1,X4)),the_carrier(X1))
| ~ sP2(sK9(X3),X1,X4)
| ~ element(sK15(sK9(X3),X1,X4),the_carrier(X1))
| ~ sP0(X0,X1,X2)
| element(apply_netmap(X4,X1,sK13(X0,X1,X2,sK15(sK9(X3),X1,X4))),X3)
| empty(X3) )
| ~ spl27_109
| ~ spl27_147 ),
inference(resolution,[],[f1082,f836]) ).
fof(f1717,plain,
( spl27_229
| ~ spl27_108
| ~ spl27_147 ),
inference(avatar_split_clause,[],[f1101,f1081,f831,f1715]) ).
fof(f1101,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ element(sK13(X0,X1,X2,sK15(sK8(X3),X1,X4)),the_carrier(X1))
| ~ sP2(sK8(X3),X1,X4)
| ~ element(sK15(sK8(X3),X1,X4),the_carrier(X1))
| ~ sP0(X0,X1,X2)
| element(apply_netmap(X4,X1,sK13(X0,X1,X2,sK15(sK8(X3),X1,X4))),X3)
| empty(X3) )
| ~ spl27_108
| ~ spl27_147 ),
inference(resolution,[],[f1082,f832]) ).
fof(f1713,plain,
( spl27_228
| ~ spl27_84
| ~ spl27_96 ),
inference(avatar_split_clause,[],[f776,f764,f671,f1711]) ).
fof(f1711,plain,
( spl27_228
<=> ! [X2,X0,X1] :
( ~ element(X0,the_carrier(X1))
| apply_on_structs(X1,X2,sK20(the_carrier(X1),the_carrier(X2)),X0) = apply(sK20(the_carrier(X1),the_carrier(X2)),X0)
| ~ quasi_total(sK20(the_carrier(X1),the_carrier(X2)),the_carrier(X1),the_carrier(X2))
| ~ function(sK20(the_carrier(X1),the_carrier(X2)))
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_228])]) ).
fof(f776,plain,
( ! [X2,X0,X1] :
( ~ element(X0,the_carrier(X1))
| apply_on_structs(X1,X2,sK20(the_carrier(X1),the_carrier(X2)),X0) = apply(sK20(the_carrier(X1),the_carrier(X2)),X0)
| ~ quasi_total(sK20(the_carrier(X1),the_carrier(X2)),the_carrier(X1),the_carrier(X2))
| ~ function(sK20(the_carrier(X1),the_carrier(X2)))
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1) )
| ~ spl27_84
| ~ spl27_96 ),
inference(resolution,[],[f765,f672]) ).
fof(f1708,plain,
( spl27_227
| ~ spl27_35
| ~ spl27_197 ),
inference(avatar_split_clause,[],[f1672,f1497,f396,f1706]) ).
fof(f1706,plain,
( spl27_227
<=> ! [X2,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(sK6,X1,X2)
| ~ in(sK7,apply_netmap(X2,X1,sK13(sK6,X1,X2,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_227])]) ).
fof(f1672,plain,
( ! [X2,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(sK6,X1,X2)
| ~ in(sK7,apply_netmap(X2,X1,sK13(sK6,X1,X2,X0))) )
| ~ spl27_35
| ~ spl27_197 ),
inference(resolution,[],[f1498,f397]) ).
fof(f1701,plain,
( spl27_226
| ~ spl27_66
| ~ spl27_144 ),
inference(avatar_split_clause,[],[f1068,f1059,f568,f1699]) ).
fof(f1068,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK15(X3,X2,X4))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK15(X3,X2,X4)))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ sP2(X3,X2,X4) )
| ~ spl27_66
| ~ spl27_144 ),
inference(resolution,[],[f1060,f569]) ).
fof(f1697,plain,
( spl27_225
| ~ spl27_63
| ~ spl27_144 ),
inference(avatar_split_clause,[],[f1065,f1059,f556,f1695]) ).
fof(f1065,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK12(X3,X2,X4))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK12(X3,X2,X4)))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| sP0(X3,X2,X4) )
| ~ spl27_63
| ~ spl27_144 ),
inference(resolution,[],[f1060,f557]) ).
fof(f1689,plain,
( spl27_224
| ~ spl27_66
| ~ spl27_140 ),
inference(avatar_split_clause,[],[f1051,f1029,f568,f1687]) ).
fof(f1051,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK15(X4,X0,X5))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK15(X4,X0,X5)))
| ~ sP2(X4,X0,X5) )
| ~ spl27_66
| ~ spl27_140 ),
inference(resolution,[],[f1030,f569]) ).
fof(f1685,plain,
( spl27_223
| ~ spl27_63
| ~ spl27_140 ),
inference(avatar_split_clause,[],[f1048,f1029,f556,f1683]) ).
fof(f1048,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK12(X4,X0,X5))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK12(X4,X0,X5)))
| sP0(X4,X0,X5) )
| ~ spl27_63
| ~ spl27_140 ),
inference(resolution,[],[f1030,f557]) ).
fof(f1677,plain,
( spl27_222
| ~ spl27_134
| ~ spl27_146 ),
inference(avatar_split_clause,[],[f1097,f1077,f995,f1675]) ).
fof(f995,plain,
( spl27_134
<=> ! [X2,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ net_str(X1,X2)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| empty(the_carrier(X2))
| in(apply_netmap(X2,X1,X0),the_carrier(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_134])]) ).
fof(f1097,plain,
( ! [X2,X3,X0,X1] :
( sP0(the_carrier(X0),X1,X0)
| ~ element(sK14(X2,X1,X3,sK12(the_carrier(X0),X1,X0)),the_carrier(X1))
| sP2(X2,X1,X3)
| ~ element(sK12(the_carrier(X0),X1,X0),the_carrier(X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(the_carrier(X0)) )
| ~ spl27_134
| ~ spl27_146 ),
inference(duplicate_literal_removal,[],[f1094]) ).
fof(f1094,plain,
( ! [X2,X3,X0,X1] :
( sP0(the_carrier(X0),X1,X0)
| ~ element(sK14(X2,X1,X3,sK12(the_carrier(X0),X1,X0)),the_carrier(X1))
| sP2(X2,X1,X3)
| ~ element(sK12(the_carrier(X0),X1,X0),the_carrier(X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(the_carrier(X0))
| ~ element(sK14(X2,X1,X3,sK12(the_carrier(X0),X1,X0)),the_carrier(X1)) )
| ~ spl27_134
| ~ spl27_146 ),
inference(resolution,[],[f1078,f996]) ).
fof(f996,plain,
( ! [X2,X0,X1] :
( in(apply_netmap(X2,X1,X0),the_carrier(X2))
| ~ net_str(X1,X2)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| empty(the_carrier(X2))
| ~ element(X0,the_carrier(X1)) )
| ~ spl27_134 ),
inference(avatar_component_clause,[],[f995]) ).
fof(f1668,plain,
( spl27_221
| ~ spl27_134
| ~ spl27_145 ),
inference(avatar_split_clause,[],[f1092,f1073,f995,f1666]) ).
fof(f1092,plain,
( ! [X2,X3,X0,X1] :
( sP0(the_carrier(X0),X1,X0)
| ~ element(sK13(X2,X1,X3,sK12(the_carrier(X0),X1,X0)),the_carrier(X1))
| ~ element(sK12(the_carrier(X0),X1,X0),the_carrier(X1))
| ~ sP0(X2,X1,X3)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(the_carrier(X0)) )
| ~ spl27_134
| ~ spl27_145 ),
inference(duplicate_literal_removal,[],[f1089]) ).
fof(f1089,plain,
( ! [X2,X3,X0,X1] :
( sP0(the_carrier(X0),X1,X0)
| ~ element(sK13(X2,X1,X3,sK12(the_carrier(X0),X1,X0)),the_carrier(X1))
| ~ element(sK12(the_carrier(X0),X1,X0),the_carrier(X1))
| ~ sP0(X2,X1,X3)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(the_carrier(X0))
| ~ element(sK13(X2,X1,X3,sK12(the_carrier(X0),X1,X0)),the_carrier(X1)) )
| ~ spl27_134
| ~ spl27_145 ),
inference(resolution,[],[f1074,f996]) ).
fof(f1662,plain,
( spl27_220
| ~ spl27_84
| ~ spl27_125 ),
inference(avatar_split_clause,[],[f937,f932,f671,f1660]) ).
fof(f937,plain,
( ! [X2,X0,X1] :
( ~ one_sorted_str(X0)
| ~ net_str(X1,X0)
| ~ element(X2,the_carrier(X1))
| apply_on_structs(X1,X0,the_mapping(X0,X1),X2) = apply(the_mapping(X0,X1),X2)
| ~ quasi_total(the_mapping(X0,X1),the_carrier(X1),the_carrier(X0))
| ~ function(the_mapping(X0,X1))
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1) )
| ~ spl27_84
| ~ spl27_125 ),
inference(duplicate_literal_removal,[],[f935]) ).
fof(f935,plain,
( ! [X2,X0,X1] :
( ~ one_sorted_str(X0)
| ~ net_str(X1,X0)
| ~ element(X2,the_carrier(X1))
| apply_on_structs(X1,X0,the_mapping(X0,X1),X2) = apply(the_mapping(X0,X1),X2)
| ~ quasi_total(the_mapping(X0,X1),the_carrier(X1),the_carrier(X0))
| ~ function(the_mapping(X0,X1))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1) )
| ~ spl27_84
| ~ spl27_125 ),
inference(resolution,[],[f933,f672]) ).
fof(f1642,plain,
( spl27_219
| ~ spl27_35
| ~ spl27_148 ),
inference(avatar_split_clause,[],[f1111,f1085,f396,f1640]) ).
fof(f1640,plain,
( spl27_219
<=> ! [X4,X0,X3,X2,X1] :
( ~ element(sK14(X0,X1,X2,sK15(X3,X1,X4)),the_carrier(X1))
| ~ sP2(X3,X1,X4)
| sP2(X0,X1,X2)
| ~ element(sK15(X3,X1,X4),the_carrier(X1))
| ~ in(X3,apply_netmap(X4,X1,sK14(X0,X1,X2,sK15(X3,X1,X4)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_219])]) ).
fof(f1111,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ element(sK14(X0,X1,X2,sK15(X3,X1,X4)),the_carrier(X1))
| ~ sP2(X3,X1,X4)
| sP2(X0,X1,X2)
| ~ element(sK15(X3,X1,X4),the_carrier(X1))
| ~ in(X3,apply_netmap(X4,X1,sK14(X0,X1,X2,sK15(X3,X1,X4)))) )
| ~ spl27_35
| ~ spl27_148 ),
inference(resolution,[],[f1086,f397]) ).
fof(f1638,plain,
( spl27_218
| ~ spl27_36
| ~ spl27_148 ),
inference(avatar_split_clause,[],[f1110,f1085,f400,f1636]) ).
fof(f400,plain,
( spl27_36
<=> ! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_36])]) ).
fof(f1110,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ element(sK14(X0,X1,X2,sK15(X3,X1,X4)),the_carrier(X1))
| ~ sP2(X3,X1,X4)
| sP2(X0,X1,X2)
| ~ element(sK15(X3,X1,X4),the_carrier(X1))
| element(apply_netmap(X4,X1,sK14(X0,X1,X2,sK15(X3,X1,X4))),X3) )
| ~ spl27_36
| ~ spl27_148 ),
inference(resolution,[],[f1086,f401]) ).
fof(f401,plain,
( ! [X0,X1] :
( ~ in(X0,X1)
| element(X0,X1) )
| ~ spl27_36 ),
inference(avatar_component_clause,[],[f400]) ).
fof(f1634,plain,
( spl27_217
| ~ spl27_35
| ~ spl27_147 ),
inference(avatar_split_clause,[],[f1100,f1081,f396,f1632]) ).
fof(f1632,plain,
( spl27_217
<=> ! [X4,X0,X3,X2,X1] :
( ~ element(sK13(X0,X1,X2,sK15(X3,X1,X4)),the_carrier(X1))
| ~ sP2(X3,X1,X4)
| ~ element(sK15(X3,X1,X4),the_carrier(X1))
| ~ sP0(X0,X1,X2)
| ~ in(X3,apply_netmap(X4,X1,sK13(X0,X1,X2,sK15(X3,X1,X4)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_217])]) ).
fof(f1100,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ element(sK13(X0,X1,X2,sK15(X3,X1,X4)),the_carrier(X1))
| ~ sP2(X3,X1,X4)
| ~ element(sK15(X3,X1,X4),the_carrier(X1))
| ~ sP0(X0,X1,X2)
| ~ in(X3,apply_netmap(X4,X1,sK13(X0,X1,X2,sK15(X3,X1,X4)))) )
| ~ spl27_35
| ~ spl27_147 ),
inference(resolution,[],[f1082,f397]) ).
fof(f1627,plain,
( spl27_216
| ~ spl27_36
| ~ spl27_147 ),
inference(avatar_split_clause,[],[f1099,f1081,f400,f1625]) ).
fof(f1099,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ element(sK13(X0,X1,X2,sK15(X3,X1,X4)),the_carrier(X1))
| ~ sP2(X3,X1,X4)
| ~ element(sK15(X3,X1,X4),the_carrier(X1))
| ~ sP0(X0,X1,X2)
| element(apply_netmap(X4,X1,sK13(X0,X1,X2,sK15(X3,X1,X4))),X3) )
| ~ spl27_36
| ~ spl27_147 ),
inference(resolution,[],[f1082,f401]) ).
fof(f1620,plain,
( spl27_215
| ~ spl27_23
| ~ spl27_144 ),
inference(avatar_split_clause,[],[f1069,f1059,f338,f1618]) ).
fof(f1069,plain,
( ! [X2,X0,X1] :
( ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X1,X0,apply_netmap(X0,X2,sK17(the_carrier(X2)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),apply_netmap(X0,X2,sK17(the_carrier(X2))))
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0) )
| ~ spl27_23
| ~ spl27_144 ),
inference(resolution,[],[f1060,f339]) ).
fof(f1612,plain,
( spl27_214
| ~ spl27_35
| ~ spl27_141 ),
inference(avatar_split_clause,[],[f1057,f1033,f396,f1610]) ).
fof(f1033,plain,
( spl27_141
<=> ! [X0,X3,X2,X1] :
( ~ element(X0,the_carrier(X1))
| ~ relation_of2(X2,the_carrier(X1),the_carrier(X3))
| ~ quasi_total(X2,the_carrier(X1),the_carrier(X3))
| ~ function(X2)
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| empty(the_carrier(X3))
| in(apply_on_structs(X1,X3,X2,X0),the_carrier(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_141])]) ).
fof(f1057,plain,
( ! [X2,X3,X0,X1] :
( ~ relation_of2(X0,the_carrier(X1),the_carrier(X2))
| ~ quasi_total(X0,the_carrier(X1),the_carrier(X2))
| ~ function(X0)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| empty(the_carrier(X2))
| ~ element(X3,the_carrier(X1))
| ~ in(the_carrier(X2),apply_on_structs(X1,X2,X0,X3)) )
| ~ spl27_35
| ~ spl27_141 ),
inference(resolution,[],[f1034,f397]) ).
fof(f1034,plain,
( ! [X2,X3,X0,X1] :
( in(apply_on_structs(X1,X3,X2,X0),the_carrier(X3))
| ~ relation_of2(X2,the_carrier(X1),the_carrier(X3))
| ~ quasi_total(X2,the_carrier(X1),the_carrier(X3))
| ~ function(X2)
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| empty(the_carrier(X3))
| ~ element(X0,the_carrier(X1)) )
| ~ spl27_141 ),
inference(avatar_component_clause,[],[f1033]) ).
fof(f1608,plain,
( spl27_213
| ~ spl27_23
| ~ spl27_140 ),
inference(avatar_split_clause,[],[f1052,f1029,f338,f1606]) ).
fof(f1052,plain,
( ! [X2,X3,X0,X1] :
( ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| sP2(X2,X0,X3)
| apply_netmap(X1,X0,sK14(X2,X0,X3,sK17(the_carrier(X0)))) = apply_on_structs(X0,X1,the_mapping(X1,X0),sK14(X2,X0,X3,sK17(the_carrier(X0)))) )
| ~ spl27_23
| ~ spl27_140 ),
inference(resolution,[],[f1030,f339]) ).
fof(f1598,plain,
( spl27_212
| ~ spl27_34
| ~ spl27_137 ),
inference(avatar_split_clause,[],[f1023,f1014,f392,f1596]) ).
fof(f1014,plain,
( spl27_137
<=> ! [X0,X3,X2,X1] :
( apply_netmap(X0,X1,sK12(X2,X1,X3)) = apply_on_structs(X1,X0,the_mapping(X0,X1),sK12(X2,X1,X3))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP0(X2,X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_137])]) ).
fof(f1023,plain,
( ! [X2,X0,X1] :
( apply_netmap(X0,sK11(X0),sK12(X1,sK11(X0),X2)) = apply_on_structs(sK11(X0),X0,the_mapping(X0,sK11(X0)),sK12(X1,sK11(X0),X2))
| empty_carrier(sK11(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP0(X1,sK11(X0),X2) )
| ~ spl27_34
| ~ spl27_137 ),
inference(duplicate_literal_removal,[],[f1022]) ).
fof(f1022,plain,
( ! [X2,X0,X1] :
( apply_netmap(X0,sK11(X0),sK12(X1,sK11(X0),X2)) = apply_on_structs(sK11(X0),X0,the_mapping(X0,sK11(X0)),sK12(X1,sK11(X0),X2))
| empty_carrier(sK11(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP0(X1,sK11(X0),X2)
| ~ one_sorted_str(X0) )
| ~ spl27_34
| ~ spl27_137 ),
inference(resolution,[],[f1015,f393]) ).
fof(f1015,plain,
( ! [X2,X3,X0,X1] :
( ~ net_str(X1,X0)
| apply_netmap(X0,X1,sK12(X2,X1,X3)) = apply_on_structs(X1,X0,the_mapping(X0,X1),sK12(X2,X1,X3))
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP0(X2,X1,X3) )
| ~ spl27_137 ),
inference(avatar_component_clause,[],[f1014]) ).
fof(f1592,plain,
( spl27_211
| spl27_70
| ~ spl27_155 ),
inference(avatar_split_clause,[],[f1530,f1177,f593,f1589]) ).
fof(f1530,plain,
( apply_netmap(sK4,sK5,sK12(sK6,sK5,sK4)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(sK6,sK5,sK4))
| spl27_70
| ~ spl27_155 ),
inference(resolution,[],[f594,f1178]) ).
fof(f1585,plain,
( spl27_210
| ~ spl27_102
| ~ spl27_148 ),
inference(avatar_split_clause,[],[f1117,f1085,f795,f1583]) ).
fof(f795,plain,
( spl27_102
<=> ! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK17(powerset(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_102])]) ).
fof(f1117,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ element(sK14(X0,X1,X2,sK15(sK17(powerset(X3)),X1,X4)),the_carrier(X1))
| ~ sP2(sK17(powerset(X3)),X1,X4)
| sP2(X0,X1,X2)
| ~ element(sK15(sK17(powerset(X3)),X1,X4),the_carrier(X1))
| ~ empty(X3) )
| ~ spl27_102
| ~ spl27_148 ),
inference(resolution,[],[f1086,f796]) ).
fof(f796,plain,
( ! [X0,X1] :
( ~ in(X1,sK17(powerset(X0)))
| ~ empty(X0) )
| ~ spl27_102 ),
inference(avatar_component_clause,[],[f795]) ).
fof(f1581,plain,
( spl27_209
| ~ spl27_102
| ~ spl27_147 ),
inference(avatar_split_clause,[],[f1106,f1081,f795,f1579]) ).
fof(f1106,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ element(sK13(X0,X1,X2,sK15(sK17(powerset(X3)),X1,X4)),the_carrier(X1))
| ~ sP2(sK17(powerset(X3)),X1,X4)
| ~ element(sK15(sK17(powerset(X3)),X1,X4),the_carrier(X1))
| ~ sP0(X0,X1,X2)
| ~ empty(X3) )
| ~ spl27_102
| ~ spl27_147 ),
inference(resolution,[],[f1082,f796]) ).
fof(f1575,plain,
( spl27_208
| ~ spl27_78
| ~ spl27_134 ),
inference(avatar_split_clause,[],[f1002,f995,f629,f1573]) ).
fof(f1002,plain,
( ! [X2,X0,X1] :
( ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| empty(the_carrier(X1))
| ~ element(sK14(the_carrier(X1),X0,X1,X2),the_carrier(X0))
| sP2(the_carrier(X1),X0,X1)
| ~ element(X2,the_carrier(X0)) )
| ~ spl27_78
| ~ spl27_134 ),
inference(resolution,[],[f996,f630]) ).
fof(f1571,plain,
( spl27_207
| ~ spl27_78
| ~ spl27_129 ),
inference(avatar_split_clause,[],[f966,f960,f629,f1569]) ).
fof(f1569,plain,
( spl27_207
<=> ! [X2,X4,X0,X3,X1] :
( empty(powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(apply_netmap(X2,X3,sK14(powerset(cartesian_product2(X0,X1)),X3,X2,X4)),X0,X1)
| sP2(powerset(cartesian_product2(X0,X1)),X3,X2)
| ~ element(X4,the_carrier(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_207])]) ).
fof(f966,plain,
( ! [X2,X3,X0,X1,X4] :
( empty(powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(apply_netmap(X2,X3,sK14(powerset(cartesian_product2(X0,X1)),X3,X2,X4)),X0,X1)
| sP2(powerset(cartesian_product2(X0,X1)),X3,X2)
| ~ element(X4,the_carrier(X3)) )
| ~ spl27_78
| ~ spl27_129 ),
inference(resolution,[],[f961,f630]) ).
fof(f1563,plain,
( ~ spl27_123
| ~ spl27_32
| ~ spl27_161 ),
inference(avatar_split_clause,[],[f1312,f1216,f379,f922]) ).
fof(f1216,plain,
( spl27_161
<=> in(sK17(sK6),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_161])]) ).
fof(f1312,plain,
( ~ empty(sK7)
| ~ spl27_32
| ~ spl27_161 ),
inference(resolution,[],[f1218,f380]) ).
fof(f1218,plain,
( in(sK17(sK6),sK7)
| ~ spl27_161 ),
inference(avatar_component_clause,[],[f1216]) ).
fof(f1562,plain,
( spl27_206
| ~ spl27_32
| ~ spl27_148 ),
inference(avatar_split_clause,[],[f1109,f1085,f379,f1560]) ).
fof(f1109,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ element(sK14(X0,X1,X2,sK15(X3,X1,X4)),the_carrier(X1))
| ~ sP2(X3,X1,X4)
| sP2(X0,X1,X2)
| ~ element(sK15(X3,X1,X4),the_carrier(X1))
| ~ empty(X3) )
| ~ spl27_32
| ~ spl27_148 ),
inference(resolution,[],[f1086,f380]) ).
fof(f1558,plain,
( spl27_205
| ~ spl27_32
| ~ spl27_147 ),
inference(avatar_split_clause,[],[f1098,f1081,f379,f1556]) ).
fof(f1098,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ element(sK13(X0,X1,X2,sK15(X3,X1,X4)),the_carrier(X1))
| ~ sP2(X3,X1,X4)
| ~ element(sK15(X3,X1,X4),the_carrier(X1))
| ~ sP0(X0,X1,X2)
| ~ empty(X3) )
| ~ spl27_32
| ~ spl27_147 ),
inference(resolution,[],[f1082,f380]) ).
fof(f1554,plain,
( spl27_204
| ~ spl27_34
| ~ spl27_136 ),
inference(avatar_split_clause,[],[f1012,f1007,f392,f1552]) ).
fof(f1007,plain,
( spl27_136
<=> ! [X0,X1] :
( apply_netmap(X0,X1,sK17(the_carrier(X1))) = apply_on_structs(X1,X0,the_mapping(X0,X1),sK17(the_carrier(X1)))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_136])]) ).
fof(f1012,plain,
( ! [X0] :
( apply_netmap(X0,sK11(X0),sK17(the_carrier(sK11(X0)))) = apply_on_structs(sK11(X0),X0,the_mapping(X0,sK11(X0)),sK17(the_carrier(sK11(X0))))
| empty_carrier(sK11(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) )
| ~ spl27_34
| ~ spl27_136 ),
inference(duplicate_literal_removal,[],[f1011]) ).
fof(f1011,plain,
( ! [X0] :
( apply_netmap(X0,sK11(X0),sK17(the_carrier(sK11(X0)))) = apply_on_structs(sK11(X0),X0,the_mapping(X0,sK11(X0)),sK17(the_carrier(sK11(X0))))
| empty_carrier(sK11(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0) )
| ~ spl27_34
| ~ spl27_136 ),
inference(resolution,[],[f1008,f393]) ).
fof(f1008,plain,
( ! [X0,X1] :
( ~ net_str(X1,X0)
| apply_netmap(X0,X1,sK17(the_carrier(X1))) = apply_on_structs(X1,X0,the_mapping(X0,X1),sK17(the_carrier(X1)))
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) )
| ~ spl27_136 ),
inference(avatar_component_clause,[],[f1007]) ).
fof(f1546,plain,
( spl27_203
| ~ spl27_93
| ~ spl27_148 ),
inference(avatar_split_clause,[],[f1118,f1085,f716,f1544]) ).
fof(f716,plain,
( spl27_93
<=> ! [X1] : ~ in(X1,sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_93])]) ).
fof(f1118,plain,
( ! [X2,X3,X0,X1] :
( ~ element(sK14(X0,X1,X2,sK15(sK24,X1,X3)),the_carrier(X1))
| ~ sP2(sK24,X1,X3)
| sP2(X0,X1,X2)
| ~ element(sK15(sK24,X1,X3),the_carrier(X1)) )
| ~ spl27_93
| ~ spl27_148 ),
inference(resolution,[],[f1086,f717]) ).
fof(f717,plain,
( ! [X1] : ~ in(X1,sK24)
| ~ spl27_93 ),
inference(avatar_component_clause,[],[f716]) ).
fof(f1541,plain,
( spl27_3
| spl27_202
| ~ spl27_138
| ~ spl27_201 ),
inference(avatar_split_clause,[],[f1536,f1532,f1018,f1539,f244]) ).
fof(f1536,plain,
( ! [X0] :
( ~ net_str(sK5,X0)
| empty_carrier(sK5)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| apply_netmap(X0,sK5,sK15(sK6,sK5,sK4)) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK15(sK6,sK5,sK4)) )
| ~ spl27_138
| ~ spl27_201 ),
inference(resolution,[],[f1534,f1019]) ).
fof(f1535,plain,
( ~ spl27_85
| spl27_201
| ~ spl27_6
| ~ spl27_64 ),
inference(avatar_split_clause,[],[f1524,f560,f259,f1532,f678]) ).
fof(f259,plain,
( spl27_6
<=> is_eventually_in(sK4,sK5,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_6])]) ).
fof(f1524,plain,
( sP2(sK6,sK5,sK4)
| ~ sP3(sK4,sK5)
| ~ spl27_6
| ~ spl27_64 ),
inference(resolution,[],[f261,f561]) ).
fof(f261,plain,
( is_eventually_in(sK4,sK5,sK6)
| ~ spl27_6 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f1529,plain,
( ~ spl27_200
| spl27_7 ),
inference(avatar_split_clause,[],[f161,f263,f1526]) ).
fof(f161,plain,
( is_often_in(sK4,sK5,sK6)
| ~ is_eventually_in(sK4,sK5,sK7) ),
inference(cnf_transformation,[],[f111]) ).
fof(f1523,plain,
( spl27_199
| ~ spl27_6
| ~ spl27_91
| ~ spl27_142 ),
inference(avatar_split_clause,[],[f1513,f1037,f709,f259,f1520]) ).
fof(f1513,plain,
( is_eventually_in(sK4,sK5,sK24)
| ~ spl27_6
| ~ spl27_91
| ~ spl27_142 ),
inference(forward_demodulation,[],[f261,f1146]) ).
fof(f1518,plain,
( ~ spl27_198
| spl27_7
| ~ spl27_91
| ~ spl27_142 ),
inference(avatar_split_clause,[],[f1512,f1037,f709,f263,f1515]) ).
fof(f1512,plain,
( ~ is_often_in(sK4,sK5,sK24)
| spl27_7
| ~ spl27_91
| ~ spl27_142 ),
inference(forward_demodulation,[],[f264,f1146]) ).
fof(f264,plain,
( ~ is_often_in(sK4,sK5,sK6)
| spl27_7 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f1499,plain,
( spl27_123
| spl27_197
| ~ spl27_50
| ~ spl27_186 ),
inference(avatar_split_clause,[],[f1459,f1401,f465,f1497,f922]) ).
fof(f1401,plain,
( spl27_186
<=> ! [X2,X0,X1] :
( element(apply_netmap(X0,X1,sK13(sK6,X1,X0,X2)),sK7)
| ~ element(X2,the_carrier(X1))
| ~ sP0(sK6,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_186])]) ).
fof(f1459,plain,
( ! [X2,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(sK6,X1,X2)
| empty(sK7)
| in(apply_netmap(X2,X1,sK13(sK6,X1,X2,X0)),sK7) )
| ~ spl27_50
| ~ spl27_186 ),
inference(resolution,[],[f1402,f466]) ).
fof(f1402,plain,
( ! [X2,X0,X1] :
( element(apply_netmap(X0,X1,sK13(sK6,X1,X0,X2)),sK7)
| ~ element(X2,the_carrier(X1))
| ~ sP0(sK6,X1,X0) )
| ~ spl27_186 ),
inference(avatar_component_clause,[],[f1401]) ).
fof(f1495,plain,
( spl27_196
| ~ spl27_93
| ~ spl27_147 ),
inference(avatar_split_clause,[],[f1107,f1081,f716,f1493]) ).
fof(f1107,plain,
( ! [X2,X3,X0,X1] :
( ~ element(sK13(X0,X1,X2,sK15(sK24,X1,X3)),the_carrier(X1))
| ~ sP2(sK24,X1,X3)
| ~ element(sK15(sK24,X1,X3),the_carrier(X1))
| ~ sP0(X0,X1,X2) )
| ~ spl27_93
| ~ spl27_147 ),
inference(resolution,[],[f1082,f717]) ).
fof(f1483,plain,
( spl27_195
| ~ spl27_77
| ~ spl27_122 ),
inference(avatar_split_clause,[],[f929,f915,f625,f1481]) ).
fof(f929,plain,
( ! [X2,X3,X0,X1] :
( element(apply_netmap(X0,X1,sK13(sK16(X2),X1,X0,X3)),the_carrier(X2))
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| ~ element(X3,the_carrier(X1))
| ~ sP0(sK16(X2),X1,X0) )
| ~ spl27_77
| ~ spl27_122 ),
inference(resolution,[],[f916,f626]) ).
fof(f1475,plain,
( spl27_194
| ~ spl27_35
| ~ spl27_134 ),
inference(avatar_split_clause,[],[f1005,f995,f396,f1473]) ).
fof(f1473,plain,
( spl27_194
<=> ! [X2,X0,X1] :
( ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| empty(the_carrier(X1))
| ~ element(X2,the_carrier(X0))
| ~ in(the_carrier(X1),apply_netmap(X1,X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_194])]) ).
fof(f1005,plain,
( ! [X2,X0,X1] :
( ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| empty(the_carrier(X1))
| ~ element(X2,the_carrier(X0))
| ~ in(the_carrier(X1),apply_netmap(X1,X0,X2)) )
| ~ spl27_35
| ~ spl27_134 ),
inference(resolution,[],[f996,f397]) ).
fof(f1471,plain,
( spl27_193
| ~ spl27_60
| ~ spl27_130 ),
inference(avatar_split_clause,[],[f976,f968,f529,f1469]) ).
fof(f976,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sP0(powerset(X0),X1,X2)
| ~ element(X3,the_carrier(X1))
| element(X4,X0)
| ~ in(X4,apply_netmap(X2,X1,sK13(powerset(X0),X1,X2,X3))) )
| ~ spl27_60
| ~ spl27_130 ),
inference(resolution,[],[f969,f530]) ).
fof(f1467,plain,
( spl27_192
| ~ spl27_78
| ~ spl27_111 ),
inference(avatar_split_clause,[],[f881,f851,f629,f1465]) ).
fof(f1465,plain,
( spl27_192
<=> ! [X0,X3,X2,X1] :
( empty(powerset(X0))
| ~ subset(apply_netmap(X1,X2,sK14(powerset(X0),X2,X1,X3)),X0)
| sP2(powerset(X0),X2,X1)
| ~ element(X3,the_carrier(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_192])]) ).
fof(f881,plain,
( ! [X2,X3,X0,X1] :
( empty(powerset(X0))
| ~ subset(apply_netmap(X1,X2,sK14(powerset(X0),X2,X1,X3)),X0)
| sP2(powerset(X0),X2,X1)
| ~ element(X3,the_carrier(X2)) )
| ~ spl27_78
| ~ spl27_111 ),
inference(resolution,[],[f852,f630]) ).
fof(f1423,plain,
( spl27_191
| ~ spl27_56
| ~ spl27_130 ),
inference(avatar_split_clause,[],[f975,f968,f505,f1421]) ).
fof(f975,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sP0(powerset(X0),X1,X2)
| ~ element(X3,the_carrier(X1))
| ~ empty(X0)
| ~ in(X4,apply_netmap(X2,X1,sK13(powerset(X0),X1,X2,X3))) )
| ~ spl27_56
| ~ spl27_130 ),
inference(resolution,[],[f969,f506]) ).
fof(f1419,plain,
( spl27_190
| ~ spl27_77
| ~ spl27_110 ),
inference(avatar_split_clause,[],[f848,f839,f625,f1417]) ).
fof(f848,plain,
( ! [X2,X3,X0,X1] :
( element(apply_netmap(X0,X1,sK13(sK10(X2),X1,X0,X3)),X2)
| empty(X2)
| ~ element(X3,the_carrier(X1))
| ~ sP0(sK10(X2),X1,X0) )
| ~ spl27_77
| ~ spl27_110 ),
inference(resolution,[],[f840,f626]) ).
fof(f1415,plain,
( spl27_189
| ~ spl27_77
| ~ spl27_109 ),
inference(avatar_split_clause,[],[f846,f835,f625,f1413]) ).
fof(f846,plain,
( ! [X2,X3,X0,X1] :
( element(apply_netmap(X0,X1,sK13(sK9(X2),X1,X0,X3)),X2)
| empty(X2)
| ~ element(X3,the_carrier(X1))
| ~ sP0(sK9(X2),X1,X0) )
| ~ spl27_77
| ~ spl27_109 ),
inference(resolution,[],[f836,f626]) ).
fof(f1411,plain,
( spl27_188
| ~ spl27_77
| ~ spl27_108 ),
inference(avatar_split_clause,[],[f844,f831,f625,f1409]) ).
fof(f844,plain,
( ! [X2,X3,X0,X1] :
( element(apply_netmap(X0,X1,sK13(sK8(X2),X1,X0,X3)),X2)
| empty(X2)
| ~ element(X3,the_carrier(X1))
| ~ sP0(sK8(X2),X1,X0) )
| ~ spl27_77
| ~ spl27_108 ),
inference(resolution,[],[f832,f626]) ).
fof(f1407,plain,
( spl27_187
| ~ spl27_77
| ~ spl27_104 ),
inference(avatar_split_clause,[],[f815,f810,f625,f1405]) ).
fof(f815,plain,
( ! [X2,X3,X0,X1] :
( element(apply_netmap(X0,X1,sK13(sK17(powerset(X2)),X1,X0,X3)),X2)
| ~ element(X3,the_carrier(X1))
| ~ sP0(sK17(powerset(X2)),X1,X0) )
| ~ spl27_77
| ~ spl27_104 ),
inference(resolution,[],[f811,f626]) ).
fof(f1403,plain,
( spl27_186
| ~ spl27_77
| ~ spl27_135 ),
inference(avatar_split_clause,[],[f1132,f999,f625,f1401]) ).
fof(f1132,plain,
( ! [X2,X0,X1] :
( element(apply_netmap(X0,X1,sK13(sK6,X1,X0,X2)),sK7)
| ~ element(X2,the_carrier(X1))
| ~ sP0(sK6,X1,X0) )
| ~ spl27_77
| ~ spl27_135 ),
inference(resolution,[],[f1000,f626]) ).
fof(f1399,plain,
( spl27_185
| ~ spl27_49
| ~ spl27_130 ),
inference(avatar_split_clause,[],[f977,f968,f461,f1397]) ).
fof(f1397,plain,
( spl27_185
<=> ! [X0,X3,X2,X1] :
( ~ sP0(powerset(X0),X1,X2)
| ~ element(X3,the_carrier(X1))
| finite(apply_netmap(X2,X1,sK13(powerset(X0),X1,X2,X3)))
| ~ finite(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_185])]) ).
fof(f977,plain,
( ! [X2,X3,X0,X1] :
( ~ sP0(powerset(X0),X1,X2)
| ~ element(X3,the_carrier(X1))
| finite(apply_netmap(X2,X1,sK13(powerset(X0),X1,X2,X3)))
| ~ finite(X0) )
| ~ spl27_49
| ~ spl27_130 ),
inference(resolution,[],[f969,f462]) ).
fof(f1395,plain,
( spl27_184
| ~ spl27_35
| ~ spl27_133 ),
inference(avatar_split_clause,[],[f993,f985,f396,f1393]) ).
fof(f1393,plain,
( spl27_184
<=> ! [X0,X3,X2,X1] :
( ~ element(X0,the_carrier(X1))
| empty(the_carrier(X1))
| sP2(X2,X1,X3)
| ~ in(the_carrier(X1),sK14(X2,X1,X3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_184])]) ).
fof(f985,plain,
( spl27_133
<=> ! [X0,X3,X2,X1] :
( sP2(X0,X1,X2)
| ~ element(X3,the_carrier(X1))
| empty(the_carrier(X1))
| in(sK14(X0,X1,X2,X3),the_carrier(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_133])]) ).
fof(f993,plain,
( ! [X2,X3,X0,X1] :
( ~ element(X0,the_carrier(X1))
| empty(the_carrier(X1))
| sP2(X2,X1,X3)
| ~ in(the_carrier(X1),sK14(X2,X1,X3,X0)) )
| ~ spl27_35
| ~ spl27_133 ),
inference(resolution,[],[f986,f397]) ).
fof(f986,plain,
( ! [X2,X3,X0,X1] :
( in(sK14(X0,X1,X2,X3),the_carrier(X1))
| ~ element(X3,the_carrier(X1))
| empty(the_carrier(X1))
| sP2(X0,X1,X2) )
| ~ spl27_133 ),
inference(avatar_component_clause,[],[f985]) ).
fof(f1391,plain,
( spl27_183
| ~ spl27_35
| ~ spl27_132 ),
inference(avatar_split_clause,[],[f990,f981,f396,f1389]) ).
fof(f1389,plain,
( spl27_183
<=> ! [X0,X3,X2,X1] :
( ~ sP0(X0,X1,X2)
| empty(the_carrier(X1))
| ~ element(X3,the_carrier(X1))
| ~ in(the_carrier(X1),sK13(X0,X1,X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_183])]) ).
fof(f981,plain,
( spl27_132
<=> ! [X0,X3,X2,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(X2,X1,X3)
| empty(the_carrier(X1))
| in(sK13(X2,X1,X3,X0),the_carrier(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_132])]) ).
fof(f990,plain,
( ! [X2,X3,X0,X1] :
( ~ sP0(X0,X1,X2)
| empty(the_carrier(X1))
| ~ element(X3,the_carrier(X1))
| ~ in(the_carrier(X1),sK13(X0,X1,X2,X3)) )
| ~ spl27_35
| ~ spl27_132 ),
inference(resolution,[],[f982,f397]) ).
fof(f982,plain,
( ! [X2,X3,X0,X1] :
( in(sK13(X2,X1,X3,X0),the_carrier(X1))
| ~ sP0(X2,X1,X3)
| empty(the_carrier(X1))
| ~ element(X0,the_carrier(X1)) )
| ~ spl27_132 ),
inference(avatar_component_clause,[],[f981]) ).
fof(f1386,plain,
( spl27_182
| ~ spl27_72
| ~ spl27_121 ),
inference(avatar_split_clause,[],[f919,f911,f602,f1384]) ).
fof(f602,plain,
( spl27_72
<=> ! [X0,X1] :
( relation_of2_as_subset(the_mapping(X0,X1),the_carrier(X1),the_carrier(X0))
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_72])]) ).
fof(f919,plain,
( ! [X2,X0,X1] :
( ~ in(X0,the_mapping(X1,X2))
| element(X0,cartesian_product2(the_carrier(X2),the_carrier(X1)))
| ~ net_str(X2,X1)
| ~ one_sorted_str(X1) )
| ~ spl27_72
| ~ spl27_121 ),
inference(resolution,[],[f912,f603]) ).
fof(f603,plain,
( ! [X0,X1] :
( relation_of2_as_subset(the_mapping(X0,X1),the_carrier(X1),the_carrier(X0))
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) )
| ~ spl27_72 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f1382,plain,
( spl27_181
| ~ spl27_72
| ~ spl27_118 ),
inference(avatar_split_clause,[],[f908,f896,f602,f1380]) ).
fof(f1380,plain,
( spl27_181
<=> ! [X2,X0,X1] :
( ~ empty(cartesian_product2(the_carrier(X0),the_carrier(X1)))
| ~ in(X2,the_mapping(X1,X0))
| ~ net_str(X0,X1)
| ~ one_sorted_str(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_181])]) ).
fof(f908,plain,
( ! [X2,X0,X1] :
( ~ empty(cartesian_product2(the_carrier(X0),the_carrier(X1)))
| ~ in(X2,the_mapping(X1,X0))
| ~ net_str(X0,X1)
| ~ one_sorted_str(X1) )
| ~ spl27_72
| ~ spl27_118 ),
inference(resolution,[],[f897,f603]) ).
fof(f1375,plain,
( spl27_180
| ~ spl27_35
| ~ spl27_129 ),
inference(avatar_split_clause,[],[f965,f960,f396,f1373]) ).
fof(f965,plain,
( ! [X2,X0,X1] :
( empty(powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(X2,X0,X1)
| ~ in(powerset(cartesian_product2(X0,X1)),X2) )
| ~ spl27_35
| ~ spl27_129 ),
inference(resolution,[],[f961,f397]) ).
fof(f1371,plain,
( spl27_179
| ~ spl27_72
| ~ spl27_116 ),
inference(avatar_split_clause,[],[f892,f871,f602,f1369]) ).
fof(f892,plain,
( ! [X0,X1] :
( finite(the_mapping(X0,X1))
| ~ finite(cartesian_product2(the_carrier(X1),the_carrier(X0)))
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) )
| ~ spl27_72
| ~ spl27_116 ),
inference(resolution,[],[f872,f603]) ).
fof(f1367,plain,
( spl27_178
| ~ spl27_35
| ~ spl27_128 ),
inference(avatar_split_clause,[],[f958,f947,f396,f1365]) ).
fof(f1365,plain,
( spl27_178
<=> ! [X2,X0,X1] :
( empty(the_carrier(X0))
| ~ sP2(X1,X0,X2)
| ~ in(the_carrier(X0),sK15(X1,X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_178])]) ).
fof(f947,plain,
( spl27_128
<=> ! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| empty(the_carrier(X1))
| in(sK15(X0,X1,X2),the_carrier(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_128])]) ).
fof(f958,plain,
( ! [X2,X0,X1] :
( empty(the_carrier(X0))
| ~ sP2(X1,X0,X2)
| ~ in(the_carrier(X0),sK15(X1,X0,X2)) )
| ~ spl27_35
| ~ spl27_128 ),
inference(resolution,[],[f948,f397]) ).
fof(f948,plain,
( ! [X2,X0,X1] :
( in(sK15(X0,X1,X2),the_carrier(X1))
| empty(the_carrier(X1))
| ~ sP2(X0,X1,X2) )
| ~ spl27_128 ),
inference(avatar_component_clause,[],[f947]) ).
fof(f1363,plain,
( spl27_177
| ~ spl27_35
| ~ spl27_127 ),
inference(avatar_split_clause,[],[f955,f943,f396,f1361]) ).
fof(f1361,plain,
( spl27_177
<=> ! [X2,X0,X1] :
( empty(the_carrier(X0))
| sP0(X1,X0,X2)
| ~ in(the_carrier(X0),sK12(X1,X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_177])]) ).
fof(f943,plain,
( spl27_127
<=> ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| empty(the_carrier(X1))
| in(sK12(X0,X1,X2),the_carrier(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_127])]) ).
fof(f955,plain,
( ! [X2,X0,X1] :
( empty(the_carrier(X0))
| sP0(X1,X0,X2)
| ~ in(the_carrier(X0),sK12(X1,X0,X2)) )
| ~ spl27_35
| ~ spl27_127 ),
inference(resolution,[],[f944,f397]) ).
fof(f944,plain,
( ! [X2,X0,X1] :
( in(sK12(X0,X1,X2),the_carrier(X1))
| empty(the_carrier(X1))
| sP0(X0,X1,X2) )
| ~ spl27_127 ),
inference(avatar_component_clause,[],[f943]) ).
fof(f1359,plain,
( spl27_176
| ~ spl27_35
| ~ spl27_126 ),
inference(avatar_split_clause,[],[f952,f939,f396,f1357]) ).
fof(f1357,plain,
( spl27_176
<=> ! [X0] :
( empty_carrier(X0)
| empty(powerset(the_carrier(X0)))
| ~ one_sorted_str(X0)
| ~ in(powerset(the_carrier(X0)),sK16(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_176])]) ).
fof(f939,plain,
( spl27_126
<=> ! [X0] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(powerset(the_carrier(X0)))
| in(sK16(X0),powerset(the_carrier(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_126])]) ).
fof(f952,plain,
( ! [X0] :
( empty_carrier(X0)
| empty(powerset(the_carrier(X0)))
| ~ one_sorted_str(X0)
| ~ in(powerset(the_carrier(X0)),sK16(X0)) )
| ~ spl27_35
| ~ spl27_126 ),
inference(resolution,[],[f940,f397]) ).
fof(f940,plain,
( ! [X0] :
( in(sK16(X0),powerset(the_carrier(X0)))
| empty_carrier(X0)
| empty(powerset(the_carrier(X0)))
| ~ one_sorted_str(X0) )
| ~ spl27_126 ),
inference(avatar_component_clause,[],[f939]) ).
fof(f1347,plain,
( ~ spl27_175
| ~ spl27_35
| ~ spl27_161 ),
inference(avatar_split_clause,[],[f1314,f1216,f396,f1344]) ).
fof(f1344,plain,
( spl27_175
<=> in(sK7,sK17(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_175])]) ).
fof(f1314,plain,
( ~ in(sK7,sK17(sK6))
| ~ spl27_35
| ~ spl27_161 ),
inference(resolution,[],[f1218,f397]) ).
fof(f1342,plain,
( spl27_174
| ~ spl27_95
| ~ spl27_122 ),
inference(avatar_split_clause,[],[f930,f915,f760,f1340]) ).
fof(f930,plain,
( ! [X0] :
( element(sK17(sK16(X0)),the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(sK16(X0)) )
| ~ spl27_95
| ~ spl27_122 ),
inference(resolution,[],[f916,f761]) ).
fof(f1337,plain,
( spl27_173
| ~ spl27_77
| ~ spl27_102 ),
inference(avatar_split_clause,[],[f803,f795,f625,f1335]) ).
fof(f803,plain,
( ! [X2,X3,X0,X1] :
( ~ empty(X0)
| ~ element(X1,the_carrier(X2))
| ~ sP0(sK17(powerset(X0)),X2,X3) )
| ~ spl27_77
| ~ spl27_102 ),
inference(resolution,[],[f796,f626]) ).
fof(f1285,plain,
( spl27_172
| ~ spl27_97
| ~ spl27_121 ),
inference(avatar_split_clause,[],[f920,f911,f768,f1283]) ).
fof(f768,plain,
( spl27_97
<=> ! [X0,X1] : relation_of2_as_subset(sK19(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_97])]) ).
fof(f920,plain,
( ! [X2,X0,X1] :
( ~ in(X0,sK19(X1,X2))
| element(X0,cartesian_product2(X1,X2)) )
| ~ spl27_97
| ~ spl27_121 ),
inference(resolution,[],[f912,f769]) ).
fof(f769,plain,
( ! [X0,X1] : relation_of2_as_subset(sK19(X0,X1),X0,X1)
| ~ spl27_97 ),
inference(avatar_component_clause,[],[f768]) ).
fof(f1281,plain,
( spl27_171
| ~ spl27_39
| ~ spl27_121 ),
inference(avatar_split_clause,[],[f918,f911,f413,f1279]) ).
fof(f413,plain,
( spl27_39
<=> ! [X0,X1] : relation_of2_as_subset(sK20(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_39])]) ).
fof(f918,plain,
( ! [X2,X0,X1] :
( ~ in(X0,sK20(X1,X2))
| element(X0,cartesian_product2(X1,X2)) )
| ~ spl27_39
| ~ spl27_121 ),
inference(resolution,[],[f912,f414]) ).
fof(f414,plain,
( ! [X0,X1] : relation_of2_as_subset(sK20(X0,X1),X0,X1)
| ~ spl27_39 ),
inference(avatar_component_clause,[],[f413]) ).
fof(f1277,plain,
( spl27_170
| ~ spl27_35
| ~ spl27_114 ),
inference(avatar_split_clause,[],[f890,f863,f396,f1275]) ).
fof(f1275,plain,
( spl27_170
<=> ! [X0] :
( empty(powerset(X0))
| empty(X0)
| ~ in(powerset(X0),sK10(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_170])]) ).
fof(f863,plain,
( spl27_114
<=> ! [X0] :
( empty(powerset(X0))
| in(sK10(X0),powerset(X0))
| empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_114])]) ).
fof(f890,plain,
( ! [X0] :
( empty(powerset(X0))
| empty(X0)
| ~ in(powerset(X0),sK10(X0)) )
| ~ spl27_35
| ~ spl27_114 ),
inference(resolution,[],[f864,f397]) ).
fof(f864,plain,
( ! [X0] :
( in(sK10(X0),powerset(X0))
| empty(powerset(X0))
| empty(X0) )
| ~ spl27_114 ),
inference(avatar_component_clause,[],[f863]) ).
fof(f1273,plain,
( spl27_169
| ~ spl27_35
| ~ spl27_113 ),
inference(avatar_split_clause,[],[f887,f859,f396,f1271]) ).
fof(f1271,plain,
( spl27_169
<=> ! [X0] :
( empty(powerset(X0))
| empty(X0)
| ~ in(powerset(X0),sK9(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_169])]) ).
fof(f859,plain,
( spl27_113
<=> ! [X0] :
( empty(powerset(X0))
| in(sK9(X0),powerset(X0))
| empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_113])]) ).
fof(f887,plain,
( ! [X0] :
( empty(powerset(X0))
| empty(X0)
| ~ in(powerset(X0),sK9(X0)) )
| ~ spl27_35
| ~ spl27_113 ),
inference(resolution,[],[f860,f397]) ).
fof(f860,plain,
( ! [X0] :
( in(sK9(X0),powerset(X0))
| empty(powerset(X0))
| empty(X0) )
| ~ spl27_113 ),
inference(avatar_component_clause,[],[f859]) ).
fof(f1269,plain,
( spl27_168
| ~ spl27_35
| ~ spl27_112 ),
inference(avatar_split_clause,[],[f884,f855,f396,f1267]) ).
fof(f1267,plain,
( spl27_168
<=> ! [X0] :
( empty(powerset(X0))
| empty(X0)
| ~ in(powerset(X0),sK8(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_168])]) ).
fof(f855,plain,
( spl27_112
<=> ! [X0] :
( empty(powerset(X0))
| in(sK8(X0),powerset(X0))
| empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_112])]) ).
fof(f884,plain,
( ! [X0] :
( empty(powerset(X0))
| empty(X0)
| ~ in(powerset(X0),sK8(X0)) )
| ~ spl27_35
| ~ spl27_112 ),
inference(resolution,[],[f856,f397]) ).
fof(f856,plain,
( ! [X0] :
( in(sK8(X0),powerset(X0))
| empty(powerset(X0))
| empty(X0) )
| ~ spl27_112 ),
inference(avatar_component_clause,[],[f855]) ).
fof(f1261,plain,
( spl27_142
| ~ spl27_95
| ~ spl27_124 ),
inference(avatar_split_clause,[],[f1228,f926,f760,f1037]) ).
fof(f926,plain,
( spl27_124
<=> ! [X0] : ~ in(X0,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_124])]) ).
fof(f1228,plain,
( empty(sK6)
| ~ spl27_95
| ~ spl27_124 ),
inference(resolution,[],[f927,f761]) ).
fof(f927,plain,
( ! [X0] : ~ in(X0,sK6)
| ~ spl27_124 ),
inference(avatar_component_clause,[],[f926]) ).
fof(f1260,plain,
( spl27_167
| ~ spl27_35
| ~ spl27_111 ),
inference(avatar_split_clause,[],[f880,f851,f396,f1258]) ).
fof(f880,plain,
( ! [X0,X1] :
( empty(powerset(X0))
| ~ subset(X1,X0)
| ~ in(powerset(X0),X1) )
| ~ spl27_35
| ~ spl27_111 ),
inference(resolution,[],[f852,f397]) ).
fof(f1256,plain,
( spl27_166
| ~ spl27_95
| ~ spl27_110 ),
inference(avatar_split_clause,[],[f849,f839,f760,f1254]) ).
fof(f849,plain,
( ! [X0] :
( element(sK17(sK10(X0)),X0)
| empty(X0)
| empty(sK10(X0)) )
| ~ spl27_95
| ~ spl27_110 ),
inference(resolution,[],[f840,f761]) ).
fof(f1252,plain,
( spl27_165
| ~ spl27_95
| ~ spl27_109 ),
inference(avatar_split_clause,[],[f847,f835,f760,f1250]) ).
fof(f847,plain,
( ! [X0] :
( element(sK17(sK9(X0)),X0)
| empty(X0)
| empty(sK9(X0)) )
| ~ spl27_95
| ~ spl27_109 ),
inference(resolution,[],[f836,f761]) ).
fof(f1248,plain,
( spl27_164
| ~ spl27_95
| ~ spl27_108 ),
inference(avatar_split_clause,[],[f845,f831,f760,f1246]) ).
fof(f845,plain,
( ! [X0] :
( element(sK17(sK8(X0)),X0)
| empty(X0)
| empty(sK8(X0)) )
| ~ spl27_95
| ~ spl27_108 ),
inference(resolution,[],[f832,f761]) ).
fof(f1244,plain,
( spl27_163
| ~ spl27_95
| ~ spl27_104 ),
inference(avatar_split_clause,[],[f816,f810,f760,f1242]) ).
fof(f816,plain,
( ! [X0] :
( element(sK17(sK17(powerset(X0))),X0)
| empty(sK17(powerset(X0))) )
| ~ spl27_95
| ~ spl27_104 ),
inference(resolution,[],[f811,f761]) ).
fof(f1232,plain,
( spl27_162
| ~ spl27_97
| ~ spl27_118 ),
inference(avatar_split_clause,[],[f909,f896,f768,f1230]) ).
fof(f909,plain,
( ! [X2,X0,X1] :
( ~ empty(cartesian_product2(X0,X1))
| ~ in(X2,sK19(X0,X1)) )
| ~ spl27_97
| ~ spl27_118 ),
inference(resolution,[],[f897,f769]) ).
fof(f1219,plain,
( spl27_161
| spl27_123
| ~ spl27_50
| ~ spl27_152 ),
inference(avatar_split_clause,[],[f1180,f1142,f465,f922,f1216]) ).
fof(f1142,plain,
( spl27_152
<=> element(sK17(sK6),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_152])]) ).
fof(f1180,plain,
( empty(sK7)
| in(sK17(sK6),sK7)
| ~ spl27_50
| ~ spl27_152 ),
inference(resolution,[],[f1144,f466]) ).
fof(f1144,plain,
( element(sK17(sK6),sK7)
| ~ spl27_152 ),
inference(avatar_component_clause,[],[f1142]) ).
fof(f1214,plain,
( spl27_160
| ~ spl27_39
| ~ spl27_118 ),
inference(avatar_split_clause,[],[f907,f896,f413,f1212]) ).
fof(f907,plain,
( ! [X2,X0,X1] :
( ~ empty(cartesian_product2(X0,X1))
| ~ in(X2,sK20(X0,X1)) )
| ~ spl27_39
| ~ spl27_118 ),
inference(resolution,[],[f897,f414]) ).
fof(f1202,plain,
( spl27_3
| spl27_159
| ~ spl27_70
| ~ spl27_139 ),
inference(avatar_split_clause,[],[f1044,f1025,f593,f1200,f244]) ).
fof(f1044,plain,
( ! [X0,X1] :
( ~ net_str(sK5,X0)
| empty_carrier(sK5)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ element(X1,the_carrier(sK5))
| apply_netmap(X0,sK5,sK13(sK6,sK5,sK4,X1)) = apply_on_structs(sK5,X0,the_mapping(X0,sK5),sK13(sK6,sK5,sK4,X1)) )
| ~ spl27_70
| ~ spl27_139 ),
inference(resolution,[],[f1026,f595]) ).
fof(f1195,plain,
( spl27_158
| ~ spl27_97
| ~ spl27_116 ),
inference(avatar_split_clause,[],[f893,f871,f768,f1193]) ).
fof(f893,plain,
( ! [X0,X1] :
( finite(sK19(X0,X1))
| ~ finite(cartesian_product2(X0,X1)) )
| ~ spl27_97
| ~ spl27_116 ),
inference(resolution,[],[f872,f769]) ).
fof(f1191,plain,
( spl27_157
| ~ spl27_39
| ~ spl27_116 ),
inference(avatar_split_clause,[],[f891,f871,f413,f1189]) ).
fof(f891,plain,
( ! [X0,X1] :
( finite(sK20(X0,X1))
| ~ finite(cartesian_product2(X0,X1)) )
| ~ spl27_39
| ~ spl27_116 ),
inference(resolution,[],[f872,f414]) ).
fof(f1187,plain,
( spl27_156
| ~ spl27_77
| ~ spl27_93 ),
inference(avatar_split_clause,[],[f730,f716,f625,f1185]) ).
fof(f730,plain,
( ! [X2,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(sK24,X1,X2) )
| ~ spl27_77
| ~ spl27_93 ),
inference(resolution,[],[f717,f626]) ).
fof(f1179,plain,
( spl27_1
| ~ spl27_2
| spl27_3
| spl27_155
| ~ spl27_4
| ~ spl27_137 ),
inference(avatar_split_clause,[],[f1021,f1014,f249,f1177,f244,f239,f234]) ).
fof(f1021,plain,
( ! [X0,X1] :
( apply_netmap(sK4,sK5,sK12(X0,sK5,X1)) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK12(X0,sK5,X1))
| empty_carrier(sK5)
| ~ one_sorted_str(sK4)
| empty_carrier(sK4)
| sP0(X0,sK5,X1) )
| ~ spl27_4
| ~ spl27_137 ),
inference(resolution,[],[f1015,f251]) ).
fof(f1172,plain,
( spl27_154
| ~ spl27_95
| ~ spl27_102 ),
inference(avatar_split_clause,[],[f804,f795,f760,f1170]) ).
fof(f804,plain,
( ! [X0] :
( ~ empty(X0)
| empty(sK17(powerset(X0))) )
| ~ spl27_95
| ~ spl27_102 ),
inference(resolution,[],[f796,f761]) ).
fof(f1168,plain,
( spl27_153
| ~ spl27_35
| ~ spl27_95 ),
inference(avatar_split_clause,[],[f773,f760,f396,f1166]) ).
fof(f1166,plain,
( spl27_153
<=> ! [X0] :
( empty(X0)
| ~ in(X0,sK17(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_153])]) ).
fof(f773,plain,
( ! [X0] :
( empty(X0)
| ~ in(X0,sK17(X0)) )
| ~ spl27_35
| ~ spl27_95 ),
inference(resolution,[],[f761,f397]) ).
fof(f1159,plain,
( ~ spl27_23
| ~ spl27_143 ),
inference(avatar_contradiction_clause,[],[f1158]) ).
fof(f1158,plain,
( $false
| ~ spl27_23
| ~ spl27_143 ),
inference(resolution,[],[f1042,f339]) ).
fof(f1042,plain,
( ! [X0] : ~ element(X0,the_carrier(sK5))
| ~ spl27_143 ),
inference(avatar_component_clause,[],[f1041]) ).
fof(f1145,plain,
( spl27_142
| spl27_152
| ~ spl27_95
| ~ spl27_135 ),
inference(avatar_split_clause,[],[f1135,f999,f760,f1142,f1037]) ).
fof(f1135,plain,
( element(sK17(sK6),sK7)
| empty(sK6)
| ~ spl27_95
| ~ spl27_135 ),
inference(resolution,[],[f1000,f761]) ).
fof(f1140,plain,
( spl27_1
| ~ spl27_2
| spl27_3
| spl27_151
| ~ spl27_4
| ~ spl27_136 ),
inference(avatar_split_clause,[],[f1010,f1007,f249,f1137,f244,f239,f234]) ).
fof(f1010,plain,
( apply_netmap(sK4,sK5,sK17(the_carrier(sK5))) = apply_on_structs(sK5,sK4,the_mapping(sK4,sK5),sK17(the_carrier(sK5)))
| empty_carrier(sK5)
| ~ one_sorted_str(sK4)
| empty_carrier(sK4)
| ~ spl27_4
| ~ spl27_136 ),
inference(resolution,[],[f1008,f251]) ).
fof(f1127,plain,
( spl27_150
| ~ spl27_82
| ~ spl27_83 ),
inference(avatar_split_clause,[],[f669,f664,f653,f1125]) ).
fof(f669,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ element(X0,the_carrier(X1))
| ~ relation_of2(X2,the_carrier(X1),the_carrier(X3))
| ~ quasi_total(X2,the_carrier(X1),the_carrier(X3))
| ~ function(X2)
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X4,X3,apply_on_structs(X1,X3,X2,X0)) = apply_on_structs(X3,X4,the_mapping(X4,X3),apply_on_structs(X1,X3,X2,X0))
| ~ net_str(X3,X4)
| ~ one_sorted_str(X4)
| empty_carrier(X4) )
| ~ spl27_82
| ~ spl27_83 ),
inference(duplicate_literal_removal,[],[f667]) ).
fof(f667,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ element(X0,the_carrier(X1))
| ~ relation_of2(X2,the_carrier(X1),the_carrier(X3))
| ~ quasi_total(X2,the_carrier(X1),the_carrier(X3))
| ~ function(X2)
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| apply_netmap(X4,X3,apply_on_structs(X1,X3,X2,X0)) = apply_on_structs(X3,X4,the_mapping(X4,X3),apply_on_structs(X1,X3,X2,X0))
| ~ net_str(X3,X4)
| empty_carrier(X3)
| ~ one_sorted_str(X4)
| empty_carrier(X4) )
| ~ spl27_82
| ~ spl27_83 ),
inference(resolution,[],[f665,f654]) ).
fof(f1123,plain,
( spl27_149
| ~ spl27_37
| ~ spl27_84 ),
inference(avatar_split_clause,[],[f674,f671,f404,f1121]) ).
fof(f1121,plain,
( spl27_149
<=> ! [X2,X0,X1] :
( ~ element(X0,the_carrier(X1))
| apply_on_structs(X1,X2,sK19(the_carrier(X1),the_carrier(X2)),X0) = apply(sK19(the_carrier(X1),the_carrier(X2)),X0)
| ~ quasi_total(sK19(the_carrier(X1),the_carrier(X2)),the_carrier(X1),the_carrier(X2))
| ~ function(sK19(the_carrier(X1),the_carrier(X2)))
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_149])]) ).
fof(f674,plain,
( ! [X2,X0,X1] :
( ~ element(X0,the_carrier(X1))
| apply_on_structs(X1,X2,sK19(the_carrier(X1),the_carrier(X2)),X0) = apply(sK19(the_carrier(X1),the_carrier(X2)),X0)
| ~ quasi_total(sK19(the_carrier(X1),the_carrier(X2)),the_carrier(X1),the_carrier(X2))
| ~ function(sK19(the_carrier(X1),the_carrier(X2)))
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1) )
| ~ spl27_37
| ~ spl27_84 ),
inference(resolution,[],[f672,f405]) ).
fof(f1087,plain,
( spl27_148
| ~ spl27_76
| ~ spl27_81 ),
inference(avatar_split_clause,[],[f651,f645,f619,f1085]) ).
fof(f619,plain,
( spl27_76
<=> ! [X0,X3,X2,X1] :
( sP2(X0,X1,X2)
| related(X1,X3,sK14(X0,X1,X2,X3))
| ~ element(X3,the_carrier(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_76])]) ).
fof(f645,plain,
( spl27_81
<=> ! [X0,X6,X2,X1] :
( in(apply_netmap(X2,X1,X6),X0)
| ~ related(X1,sK15(X0,X1,X2),X6)
| ~ element(X6,the_carrier(X1))
| ~ sP2(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_81])]) ).
fof(f651,plain,
( ! [X2,X3,X0,X1,X4] :
( in(apply_netmap(X0,X1,sK14(X2,X1,X3,sK15(X4,X1,X0))),X4)
| ~ element(sK14(X2,X1,X3,sK15(X4,X1,X0)),the_carrier(X1))
| ~ sP2(X4,X1,X0)
| sP2(X2,X1,X3)
| ~ element(sK15(X4,X1,X0),the_carrier(X1)) )
| ~ spl27_76
| ~ spl27_81 ),
inference(resolution,[],[f646,f620]) ).
fof(f620,plain,
( ! [X2,X3,X0,X1] :
( related(X1,X3,sK14(X0,X1,X2,X3))
| sP2(X0,X1,X2)
| ~ element(X3,the_carrier(X1)) )
| ~ spl27_76 ),
inference(avatar_component_clause,[],[f619]) ).
fof(f646,plain,
( ! [X2,X0,X1,X6] :
( ~ related(X1,sK15(X0,X1,X2),X6)
| in(apply_netmap(X2,X1,X6),X0)
| ~ element(X6,the_carrier(X1))
| ~ sP2(X0,X1,X2) )
| ~ spl27_81 ),
inference(avatar_component_clause,[],[f645]) ).
fof(f1083,plain,
( spl27_147
| ~ spl27_74
| ~ spl27_81 ),
inference(avatar_split_clause,[],[f650,f645,f611,f1081]) ).
fof(f611,plain,
( spl27_74
<=> ! [X0,X5,X2,X1] :
( related(X1,X5,sK13(X0,X1,X2,X5))
| ~ element(X5,the_carrier(X1))
| ~ sP0(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_74])]) ).
fof(f650,plain,
( ! [X2,X3,X0,X1,X4] :
( in(apply_netmap(X0,X1,sK13(X2,X1,X3,sK15(X4,X1,X0))),X4)
| ~ element(sK13(X2,X1,X3,sK15(X4,X1,X0)),the_carrier(X1))
| ~ sP2(X4,X1,X0)
| ~ element(sK15(X4,X1,X0),the_carrier(X1))
| ~ sP0(X2,X1,X3) )
| ~ spl27_74
| ~ spl27_81 ),
inference(resolution,[],[f646,f612]) ).
fof(f612,plain,
( ! [X2,X0,X1,X5] :
( related(X1,X5,sK13(X0,X1,X2,X5))
| ~ element(X5,the_carrier(X1))
| ~ sP0(X0,X1,X2) )
| ~ spl27_74 ),
inference(avatar_component_clause,[],[f611]) ).
fof(f1079,plain,
( spl27_146
| ~ spl27_76
| ~ spl27_80 ),
inference(avatar_split_clause,[],[f649,f641,f619,f1077]) ).
fof(f641,plain,
( spl27_80
<=> ! [X4,X0,X2,X1] :
( sP0(X0,X1,X2)
| ~ in(apply_netmap(X2,X1,X4),X0)
| ~ related(X1,sK12(X0,X1,X2),X4)
| ~ element(X4,the_carrier(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_80])]) ).
fof(f649,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ in(apply_netmap(X0,X1,sK14(X2,X1,X3,sK12(X4,X1,X0))),X4)
| sP0(X4,X1,X0)
| ~ element(sK14(X2,X1,X3,sK12(X4,X1,X0)),the_carrier(X1))
| sP2(X2,X1,X3)
| ~ element(sK12(X4,X1,X0),the_carrier(X1)) )
| ~ spl27_76
| ~ spl27_80 ),
inference(resolution,[],[f642,f620]) ).
fof(f642,plain,
( ! [X2,X0,X1,X4] :
( ~ related(X1,sK12(X0,X1,X2),X4)
| ~ in(apply_netmap(X2,X1,X4),X0)
| sP0(X0,X1,X2)
| ~ element(X4,the_carrier(X1)) )
| ~ spl27_80 ),
inference(avatar_component_clause,[],[f641]) ).
fof(f1075,plain,
( spl27_145
| ~ spl27_74
| ~ spl27_80 ),
inference(avatar_split_clause,[],[f648,f641,f611,f1073]) ).
fof(f648,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ in(apply_netmap(X0,X1,sK13(X2,X1,X3,sK12(X4,X1,X0))),X4)
| sP0(X4,X1,X0)
| ~ element(sK13(X2,X1,X3,sK12(X4,X1,X0)),the_carrier(X1))
| ~ element(sK12(X4,X1,X0),the_carrier(X1))
| ~ sP0(X2,X1,X3) )
| ~ spl27_74
| ~ spl27_80 ),
inference(resolution,[],[f642,f612]) ).
fof(f1061,plain,
( spl27_144
| ~ spl27_79
| ~ spl27_82 ),
inference(avatar_split_clause,[],[f662,f653,f636,f1059]) ).
fof(f662,plain,
( ! [X2,X3,X0,X1] :
( apply_netmap(X0,X1,apply_netmap(X1,X2,X3)) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,X3))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ element(X3,the_carrier(X2))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1) )
| ~ spl27_79
| ~ spl27_82 ),
inference(duplicate_literal_removal,[],[f656]) ).
fof(f656,plain,
( ! [X2,X3,X0,X1] :
( apply_netmap(X0,X1,apply_netmap(X1,X2,X3)) = apply_on_structs(X1,X0,the_mapping(X0,X1),apply_netmap(X1,X2,X3))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ element(X3,the_carrier(X2))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1) )
| ~ spl27_79
| ~ spl27_82 ),
inference(resolution,[],[f654,f637]) ).
fof(f1043,plain,
( ~ spl27_142
| spl27_143
| ~ spl27_70
| ~ spl27_117 ),
inference(avatar_split_clause,[],[f894,f875,f593,f1041,f1037]) ).
fof(f894,plain,
( ! [X0] :
( ~ element(X0,the_carrier(sK5))
| ~ empty(sK6) )
| ~ spl27_70
| ~ spl27_117 ),
inference(resolution,[],[f876,f595]) ).
fof(f1035,plain,
( spl27_141
| ~ spl27_50
| ~ spl27_83 ),
inference(avatar_split_clause,[],[f668,f664,f465,f1033]) ).
fof(f668,plain,
( ! [X2,X3,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ relation_of2(X2,the_carrier(X1),the_carrier(X3))
| ~ quasi_total(X2,the_carrier(X1),the_carrier(X3))
| ~ function(X2)
| ~ one_sorted_str(X3)
| empty_carrier(X3)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| empty(the_carrier(X3))
| in(apply_on_structs(X1,X3,X2,X0),the_carrier(X3)) )
| ~ spl27_50
| ~ spl27_83 ),
inference(resolution,[],[f665,f466]) ).
fof(f1031,plain,
( spl27_140
| ~ spl27_75
| ~ spl27_82 ),
inference(avatar_split_clause,[],[f659,f653,f615,f1029]) ).
fof(f659,plain,
( ! [X2,X3,X0,X1,X4] :
( apply_netmap(X0,X1,sK14(X2,X1,X3,X4)) = apply_on_structs(X1,X0,the_mapping(X0,X1),sK14(X2,X1,X3,X4))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP2(X2,X1,X3)
| ~ element(X4,the_carrier(X1)) )
| ~ spl27_75
| ~ spl27_82 ),
inference(resolution,[],[f654,f616]) ).
fof(f1027,plain,
( spl27_139
| ~ spl27_73
| ~ spl27_82 ),
inference(avatar_split_clause,[],[f658,f653,f607,f1025]) ).
fof(f658,plain,
( ! [X2,X3,X0,X1,X4] :
( apply_netmap(X0,X1,sK13(X2,X1,X3,X4)) = apply_on_structs(X1,X0,the_mapping(X0,X1),sK13(X2,X1,X3,X4))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ element(X4,the_carrier(X1))
| ~ sP0(X2,X1,X3) )
| ~ spl27_73
| ~ spl27_82 ),
inference(resolution,[],[f654,f608]) ).
fof(f1020,plain,
( spl27_138
| ~ spl27_66
| ~ spl27_82 ),
inference(avatar_split_clause,[],[f660,f653,f568,f1018]) ).
fof(f660,plain,
( ! [X2,X3,X0,X1] :
( apply_netmap(X0,X1,sK15(X2,X1,X3)) = apply_on_structs(X1,X0,the_mapping(X0,X1),sK15(X2,X1,X3))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ sP2(X2,X1,X3) )
| ~ spl27_66
| ~ spl27_82 ),
inference(resolution,[],[f654,f569]) ).
fof(f1016,plain,
( spl27_137
| ~ spl27_63
| ~ spl27_82 ),
inference(avatar_split_clause,[],[f657,f653,f556,f1014]) ).
fof(f657,plain,
( ! [X2,X3,X0,X1] :
( apply_netmap(X0,X1,sK12(X2,X1,X3)) = apply_on_structs(X1,X0,the_mapping(X0,X1),sK12(X2,X1,X3))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| sP0(X2,X1,X3) )
| ~ spl27_63
| ~ spl27_82 ),
inference(resolution,[],[f654,f557]) ).
fof(f1009,plain,
( spl27_136
| ~ spl27_23
| ~ spl27_82 ),
inference(avatar_split_clause,[],[f661,f653,f338,f1007]) ).
fof(f661,plain,
( ! [X0,X1] :
( apply_netmap(X0,X1,sK17(the_carrier(X1))) = apply_on_structs(X1,X0,the_mapping(X0,X1),sK17(the_carrier(X1)))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) )
| ~ spl27_23
| ~ spl27_82 ),
inference(resolution,[],[f654,f339]) ).
fof(f1001,plain,
( spl27_135
| ~ spl27_5
| ~ spl27_105 ),
inference(avatar_split_clause,[],[f842,f818,f254,f999]) ).
fof(f254,plain,
( spl27_5
<=> subset(sK6,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_5])]) ).
fof(f818,plain,
( spl27_105
<=> ! [X2,X0,X1] :
( element(X0,X1)
| ~ in(X0,X2)
| ~ subset(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_105])]) ).
fof(f842,plain,
( ! [X0] :
( ~ in(X0,sK6)
| element(X0,sK7) )
| ~ spl27_5
| ~ spl27_105 ),
inference(resolution,[],[f819,f256]) ).
fof(f256,plain,
( subset(sK6,sK7)
| ~ spl27_5 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f819,plain,
( ! [X2,X0,X1] :
( ~ subset(X2,X1)
| ~ in(X0,X2)
| element(X0,X1) )
| ~ spl27_105 ),
inference(avatar_component_clause,[],[f818]) ).
fof(f997,plain,
( spl27_134
| ~ spl27_50
| ~ spl27_79 ),
inference(avatar_split_clause,[],[f639,f636,f465,f995]) ).
fof(f639,plain,
( ! [X2,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ net_str(X1,X2)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| empty(the_carrier(X2))
| in(apply_netmap(X2,X1,X0),the_carrier(X2)) )
| ~ spl27_50
| ~ spl27_79 ),
inference(resolution,[],[f637,f466]) ).
fof(f987,plain,
( spl27_133
| ~ spl27_50
| ~ spl27_75 ),
inference(avatar_split_clause,[],[f623,f615,f465,f985]) ).
fof(f623,plain,
( ! [X2,X3,X0,X1] :
( sP2(X0,X1,X2)
| ~ element(X3,the_carrier(X1))
| empty(the_carrier(X1))
| in(sK14(X0,X1,X2,X3),the_carrier(X1)) )
| ~ spl27_50
| ~ spl27_75 ),
inference(resolution,[],[f616,f466]) ).
fof(f983,plain,
( spl27_132
| ~ spl27_50
| ~ spl27_73 ),
inference(avatar_split_clause,[],[f622,f607,f465,f981]) ).
fof(f622,plain,
( ! [X2,X3,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(X2,X1,X3)
| empty(the_carrier(X1))
| in(sK13(X2,X1,X3,X0),the_carrier(X1)) )
| ~ spl27_50
| ~ spl27_73 ),
inference(resolution,[],[f608,f466]) ).
fof(f974,plain,
( spl27_131
| ~ spl27_35
| ~ spl27_77 ),
inference(avatar_split_clause,[],[f633,f625,f396,f972]) ).
fof(f972,plain,
( spl27_131
<=> ! [X0,X3,X2,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(X2,X1,X3)
| ~ in(X2,apply_netmap(X3,X1,sK13(X2,X1,X3,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_131])]) ).
fof(f633,plain,
( ! [X2,X3,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(X2,X1,X3)
| ~ in(X2,apply_netmap(X3,X1,sK13(X2,X1,X3,X0))) )
| ~ spl27_35
| ~ spl27_77 ),
inference(resolution,[],[f626,f397]) ).
fof(f970,plain,
( spl27_130
| ~ spl27_36
| ~ spl27_77 ),
inference(avatar_split_clause,[],[f632,f625,f400,f968]) ).
fof(f632,plain,
( ! [X2,X3,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(X2,X1,X3)
| element(apply_netmap(X3,X1,sK13(X2,X1,X3,X0)),X2) )
| ~ spl27_36
| ~ spl27_77 ),
inference(resolution,[],[f626,f401]) ).
fof(f962,plain,
( spl27_129
| ~ spl27_50
| ~ spl27_58 ),
inference(avatar_split_clause,[],[f537,f520,f465,f960]) ).
fof(f520,plain,
( spl27_58
<=> ! [X2,X0,X1] :
( element(X2,powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_58])]) ).
fof(f537,plain,
( ! [X2,X0,X1] :
( ~ relation_of2_as_subset(X0,X1,X2)
| empty(powerset(cartesian_product2(X1,X2)))
| in(X0,powerset(cartesian_product2(X1,X2))) )
| ~ spl27_50
| ~ spl27_58 ),
inference(resolution,[],[f521,f466]) ).
fof(f521,plain,
( ! [X2,X0,X1] :
( element(X2,powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(X2,X0,X1) )
| ~ spl27_58 ),
inference(avatar_component_clause,[],[f520]) ).
fof(f949,plain,
( spl27_128
| ~ spl27_50
| ~ spl27_66 ),
inference(avatar_split_clause,[],[f573,f568,f465,f947]) ).
fof(f573,plain,
( ! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| empty(the_carrier(X1))
| in(sK15(X0,X1,X2),the_carrier(X1)) )
| ~ spl27_50
| ~ spl27_66 ),
inference(resolution,[],[f569,f466]) ).
fof(f945,plain,
( spl27_127
| ~ spl27_50
| ~ spl27_63 ),
inference(avatar_split_clause,[],[f572,f556,f465,f943]) ).
fof(f572,plain,
( ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| empty(the_carrier(X1))
| in(sK12(X0,X1,X2),the_carrier(X1)) )
| ~ spl27_50
| ~ spl27_63 ),
inference(resolution,[],[f557,f466]) ).
fof(f941,plain,
( spl27_126
| ~ spl27_50
| ~ spl27_57 ),
inference(avatar_split_clause,[],[f534,f516,f465,f939]) ).
fof(f516,plain,
( spl27_57
<=> ! [X0] :
( element(sK16(X0),powerset(the_carrier(X0)))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_57])]) ).
fof(f534,plain,
( ! [X0] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| empty(powerset(the_carrier(X0)))
| in(sK16(X0),powerset(the_carrier(X0))) )
| ~ spl27_50
| ~ spl27_57 ),
inference(resolution,[],[f517,f466]) ).
fof(f517,plain,
( ! [X0] :
( element(sK16(X0),powerset(the_carrier(X0)))
| ~ one_sorted_str(X0)
| empty_carrier(X0) )
| ~ spl27_57 ),
inference(avatar_component_clause,[],[f516]) ).
fof(f934,plain,
( spl27_125
| ~ spl27_53
| ~ spl27_72 ),
inference(avatar_split_clause,[],[f605,f602,f477,f932]) ).
fof(f477,plain,
( spl27_53
<=> ! [X2,X0,X1] :
( relation_of2(X2,X0,X1)
| ~ relation_of2_as_subset(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_53])]) ).
fof(f605,plain,
( ! [X0,X1] :
( ~ net_str(X0,X1)
| ~ one_sorted_str(X1)
| relation_of2(the_mapping(X1,X0),the_carrier(X0),the_carrier(X1)) )
| ~ spl27_53
| ~ spl27_72 ),
inference(resolution,[],[f603,f478]) ).
fof(f478,plain,
( ! [X2,X0,X1] :
( ~ relation_of2_as_subset(X2,X0,X1)
| relation_of2(X2,X0,X1) )
| ~ spl27_53 ),
inference(avatar_component_clause,[],[f477]) ).
fof(f928,plain,
( ~ spl27_123
| spl27_124
| ~ spl27_5
| ~ spl27_103 ),
inference(avatar_split_clause,[],[f813,f806,f254,f926,f922]) ).
fof(f806,plain,
( spl27_103
<=> ! [X2,X0,X1] :
( ~ empty(X0)
| ~ in(X1,X2)
| ~ subset(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_103])]) ).
fof(f813,plain,
( ! [X0] :
( ~ in(X0,sK6)
| ~ empty(sK7) )
| ~ spl27_5
| ~ spl27_103 ),
inference(resolution,[],[f807,f256]) ).
fof(f807,plain,
( ! [X2,X0,X1] :
( ~ subset(X2,X0)
| ~ in(X1,X2)
| ~ empty(X0) )
| ~ spl27_103 ),
inference(avatar_component_clause,[],[f806]) ).
fof(f917,plain,
( spl27_122
| ~ spl27_57
| ~ spl27_60 ),
inference(avatar_split_clause,[],[f543,f529,f516,f915]) ).
fof(f543,plain,
( ! [X0,X1] :
( element(X0,the_carrier(X1))
| ~ in(X0,sK16(X1))
| ~ one_sorted_str(X1)
| empty_carrier(X1) )
| ~ spl27_57
| ~ spl27_60 ),
inference(resolution,[],[f530,f517]) ).
fof(f913,plain,
( spl27_121
| ~ spl27_58
| ~ spl27_60 ),
inference(avatar_split_clause,[],[f539,f529,f520,f911]) ).
fof(f539,plain,
( ! [X2,X3,X0,X1] :
( element(X0,cartesian_product2(X1,X2))
| ~ in(X0,X3)
| ~ relation_of2_as_subset(X3,X1,X2) )
| ~ spl27_58
| ~ spl27_60 ),
inference(resolution,[],[f530,f521]) ).
fof(f906,plain,
( spl27_120
| ~ spl27_34
| ~ spl27_68 ),
inference(avatar_split_clause,[],[f587,f579,f392,f904]) ).
fof(f904,plain,
( spl27_120
<=> ! [X0] :
( sP3(X0,sK11(X0))
| empty_carrier(sK11(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_120])]) ).
fof(f579,plain,
( spl27_68
<=> ! [X0,X1] :
( sP3(X0,X1)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_68])]) ).
fof(f587,plain,
( ! [X0] :
( sP3(X0,sK11(X0))
| empty_carrier(sK11(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) )
| ~ spl27_34
| ~ spl27_68 ),
inference(duplicate_literal_removal,[],[f586]) ).
fof(f586,plain,
( ! [X0] :
( sP3(X0,sK11(X0))
| empty_carrier(sK11(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0) )
| ~ spl27_34
| ~ spl27_68 ),
inference(resolution,[],[f580,f393]) ).
fof(f580,plain,
( ! [X0,X1] :
( ~ net_str(X1,X0)
| sP3(X0,X1)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) )
| ~ spl27_68 ),
inference(avatar_component_clause,[],[f579]) ).
fof(f902,plain,
( spl27_119
| ~ spl27_34
| ~ spl27_67 ),
inference(avatar_split_clause,[],[f584,f575,f392,f900]) ).
fof(f900,plain,
( spl27_119
<=> ! [X0] :
( sP1(X0,sK11(X0))
| empty_carrier(sK11(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_119])]) ).
fof(f575,plain,
( spl27_67
<=> ! [X0,X1] :
( sP1(X0,X1)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_67])]) ).
fof(f584,plain,
( ! [X0] :
( sP1(X0,sK11(X0))
| empty_carrier(sK11(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) )
| ~ spl27_34
| ~ spl27_67 ),
inference(duplicate_literal_removal,[],[f583]) ).
fof(f583,plain,
( ! [X0] :
( sP1(X0,sK11(X0))
| empty_carrier(sK11(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0) )
| ~ spl27_34
| ~ spl27_67 ),
inference(resolution,[],[f576,f393]) ).
fof(f576,plain,
( ! [X0,X1] :
( ~ net_str(X1,X0)
| sP1(X0,X1)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) )
| ~ spl27_67 ),
inference(avatar_component_clause,[],[f575]) ).
fof(f898,plain,
( spl27_118
| ~ spl27_56
| ~ spl27_58 ),
inference(avatar_split_clause,[],[f535,f520,f505,f896]) ).
fof(f535,plain,
( ! [X2,X3,X0,X1] :
( ~ relation_of2_as_subset(X0,X1,X2)
| ~ empty(cartesian_product2(X1,X2))
| ~ in(X3,X0) )
| ~ spl27_56
| ~ spl27_58 ),
inference(resolution,[],[f521,f506]) ).
fof(f877,plain,
( spl27_117
| ~ spl27_32
| ~ spl27_77 ),
inference(avatar_split_clause,[],[f634,f625,f379,f875]) ).
fof(f634,plain,
( ! [X2,X3,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ sP0(X2,X1,X3)
| ~ empty(X2) )
| ~ spl27_32
| ~ spl27_77 ),
inference(resolution,[],[f626,f380]) ).
fof(f873,plain,
( spl27_116
| ~ spl27_49
| ~ spl27_58 ),
inference(avatar_split_clause,[],[f536,f520,f461,f871]) ).
fof(f536,plain,
( ! [X2,X0,X1] :
( ~ relation_of2_as_subset(X0,X1,X2)
| finite(X0)
| ~ finite(cartesian_product2(X1,X2)) )
| ~ spl27_49
| ~ spl27_58 ),
inference(resolution,[],[f521,f462]) ).
fof(f869,plain,
( spl27_115
| ~ spl27_49
| ~ spl27_57 ),
inference(avatar_split_clause,[],[f533,f516,f461,f867]) ).
fof(f867,plain,
( spl27_115
<=> ! [X0] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| finite(sK16(X0))
| ~ finite(the_carrier(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_115])]) ).
fof(f533,plain,
( ! [X0] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| finite(sK16(X0))
| ~ finite(the_carrier(X0)) )
| ~ spl27_49
| ~ spl27_57 ),
inference(resolution,[],[f517,f462]) ).
fof(f865,plain,
( spl27_114
| ~ spl27_42
| ~ spl27_50 ),
inference(avatar_split_clause,[],[f493,f465,f425,f863]) ).
fof(f425,plain,
( spl27_42
<=> ! [X0] :
( element(sK10(X0),powerset(X0))
| empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_42])]) ).
fof(f493,plain,
( ! [X0] :
( empty(powerset(X0))
| in(sK10(X0),powerset(X0))
| empty(X0) )
| ~ spl27_42
| ~ spl27_50 ),
inference(resolution,[],[f466,f426]) ).
fof(f426,plain,
( ! [X0] :
( element(sK10(X0),powerset(X0))
| empty(X0) )
| ~ spl27_42 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f861,plain,
( spl27_113
| ~ spl27_41
| ~ spl27_50 ),
inference(avatar_split_clause,[],[f492,f465,f421,f859]) ).
fof(f421,plain,
( spl27_41
<=> ! [X0] :
( element(sK9(X0),powerset(X0))
| empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_41])]) ).
fof(f492,plain,
( ! [X0] :
( empty(powerset(X0))
| in(sK9(X0),powerset(X0))
| empty(X0) )
| ~ spl27_41
| ~ spl27_50 ),
inference(resolution,[],[f466,f422]) ).
fof(f422,plain,
( ! [X0] :
( element(sK9(X0),powerset(X0))
| empty(X0) )
| ~ spl27_41 ),
inference(avatar_component_clause,[],[f421]) ).
fof(f857,plain,
( spl27_112
| ~ spl27_40
| ~ spl27_50 ),
inference(avatar_split_clause,[],[f491,f465,f417,f855]) ).
fof(f417,plain,
( spl27_40
<=> ! [X0] :
( element(sK8(X0),powerset(X0))
| empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_40])]) ).
fof(f491,plain,
( ! [X0] :
( empty(powerset(X0))
| in(sK8(X0),powerset(X0))
| empty(X0) )
| ~ spl27_40
| ~ spl27_50 ),
inference(resolution,[],[f466,f418]) ).
fof(f418,plain,
( ! [X0] :
( element(sK8(X0),powerset(X0))
| empty(X0) )
| ~ spl27_40 ),
inference(avatar_component_clause,[],[f417]) ).
fof(f853,plain,
( spl27_111
| ~ spl27_46
| ~ spl27_50 ),
inference(avatar_split_clause,[],[f490,f465,f441,f851]) ).
fof(f441,plain,
( spl27_46
<=> ! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_46])]) ).
fof(f490,plain,
( ! [X0,X1] :
( empty(powerset(X0))
| in(X1,powerset(X0))
| ~ subset(X1,X0) )
| ~ spl27_46
| ~ spl27_50 ),
inference(resolution,[],[f466,f442]) ).
fof(f442,plain,
( ! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) )
| ~ spl27_46 ),
inference(avatar_component_clause,[],[f441]) ).
fof(f841,plain,
( spl27_110
| ~ spl27_42
| ~ spl27_60 ),
inference(avatar_split_clause,[],[f542,f529,f425,f839]) ).
fof(f542,plain,
( ! [X0,X1] :
( element(X0,X1)
| ~ in(X0,sK10(X1))
| empty(X1) )
| ~ spl27_42
| ~ spl27_60 ),
inference(resolution,[],[f530,f426]) ).
fof(f837,plain,
( spl27_109
| ~ spl27_41
| ~ spl27_60 ),
inference(avatar_split_clause,[],[f541,f529,f421,f835]) ).
fof(f541,plain,
( ! [X0,X1] :
( element(X0,X1)
| ~ in(X0,sK9(X1))
| empty(X1) )
| ~ spl27_41
| ~ spl27_60 ),
inference(resolution,[],[f530,f422]) ).
fof(f833,plain,
( spl27_108
| ~ spl27_40
| ~ spl27_60 ),
inference(avatar_split_clause,[],[f540,f529,f417,f831]) ).
fof(f540,plain,
( ! [X0,X1] :
( element(X0,X1)
| ~ in(X0,sK8(X1))
| empty(X1) )
| ~ spl27_40
| ~ spl27_60 ),
inference(resolution,[],[f530,f418]) ).
fof(f829,plain,
( spl27_106
| ~ spl27_107
| ~ spl27_5
| ~ spl27_98 ),
inference(avatar_split_clause,[],[f798,f779,f254,f826,f822]) ).
fof(f779,plain,
( spl27_98
<=> ! [X0,X1] :
( finite(X0)
| ~ finite(X1)
| ~ subset(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_98])]) ).
fof(f798,plain,
( ~ finite(sK7)
| finite(sK6)
| ~ spl27_5
| ~ spl27_98 ),
inference(resolution,[],[f780,f256]) ).
fof(f780,plain,
( ! [X0,X1] :
( ~ subset(X0,X1)
| ~ finite(X1)
| finite(X0) )
| ~ spl27_98 ),
inference(avatar_component_clause,[],[f779]) ).
fof(f820,plain,
( spl27_105
| ~ spl27_46
| ~ spl27_60 ),
inference(avatar_split_clause,[],[f538,f529,f441,f818]) ).
fof(f538,plain,
( ! [X2,X0,X1] :
( element(X0,X1)
| ~ in(X0,X2)
| ~ subset(X2,X1) )
| ~ spl27_46
| ~ spl27_60 ),
inference(resolution,[],[f530,f442]) ).
fof(f812,plain,
( spl27_104
| ~ spl27_23
| ~ spl27_60 ),
inference(avatar_split_clause,[],[f544,f529,f338,f810]) ).
fof(f544,plain,
( ! [X0,X1] :
( element(X0,X1)
| ~ in(X0,sK17(powerset(X1))) )
| ~ spl27_23
| ~ spl27_60 ),
inference(resolution,[],[f530,f339]) ).
fof(f808,plain,
( spl27_103
| ~ spl27_46
| ~ spl27_56 ),
inference(avatar_split_clause,[],[f508,f505,f441,f806]) ).
fof(f508,plain,
( ! [X2,X0,X1] :
( ~ empty(X0)
| ~ in(X1,X2)
| ~ subset(X2,X0) )
| ~ spl27_46
| ~ spl27_56 ),
inference(resolution,[],[f506,f442]) ).
fof(f797,plain,
( spl27_102
| ~ spl27_23
| ~ spl27_56 ),
inference(avatar_split_clause,[],[f512,f505,f338,f795]) ).
fof(f512,plain,
( ! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK17(powerset(X0))) )
| ~ spl27_23
| ~ spl27_56 ),
inference(resolution,[],[f506,f339]) ).
fof(f793,plain,
( spl27_101
| ~ spl27_21
| ~ spl27_89 ),
inference(avatar_split_clause,[],[f747,f701,f330,f791]) ).
fof(f791,plain,
( spl27_101
<=> ! [X0] :
( ~ one_sorted_str(X0)
| one_sorted_str(sK11(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_101])]) ).
fof(f330,plain,
( spl27_21
<=> ! [X0] :
( one_sorted_str(X0)
| ~ rel_str(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_21])]) ).
fof(f701,plain,
( spl27_89
<=> ! [X0] :
( rel_str(sK11(X0))
| ~ one_sorted_str(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_89])]) ).
fof(f747,plain,
( ! [X0] :
( ~ one_sorted_str(X0)
| one_sorted_str(sK11(X0)) )
| ~ spl27_21
| ~ spl27_89 ),
inference(resolution,[],[f702,f331]) ).
fof(f331,plain,
( ! [X0] :
( ~ rel_str(X0)
| one_sorted_str(X0) )
| ~ spl27_21 ),
inference(avatar_component_clause,[],[f330]) ).
fof(f702,plain,
( ! [X0] :
( rel_str(sK11(X0))
| ~ one_sorted_str(X0) )
| ~ spl27_89 ),
inference(avatar_component_clause,[],[f701]) ).
fof(f789,plain,
( spl27_100
| ~ spl27_13
| ~ spl27_19
| ~ spl27_30
| ~ spl27_31
| ~ spl27_50 ),
inference(avatar_split_clause,[],[f496,f465,f375,f371,f322,f293,f787]) ).
fof(f787,plain,
( spl27_100
<=> ! [X0] :
( in(sK24,powerset(X0))
| empty(powerset(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_100])]) ).
fof(f322,plain,
( spl27_19
<=> ! [X0] : empty(sK18(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_19])]) ).
fof(f371,plain,
( spl27_30
<=> ! [X0] :
( empty_set = X0
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_30])]) ).
fof(f375,plain,
( spl27_31
<=> ! [X0] : element(sK18(X0),powerset(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_31])]) ).
fof(f496,plain,
( ! [X0] :
( in(sK24,powerset(X0))
| empty(powerset(X0)) )
| ~ spl27_13
| ~ spl27_19
| ~ spl27_30
| ~ spl27_31
| ~ spl27_50 ),
inference(forward_demodulation,[],[f495,f390]) ).
fof(f390,plain,
( ! [X0] : sK18(X0) = sK24
| ~ spl27_13
| ~ spl27_19
| ~ spl27_30 ),
inference(forward_demodulation,[],[f389,f388]) ).
fof(f388,plain,
( empty_set = sK24
| ~ spl27_13
| ~ spl27_30 ),
inference(resolution,[],[f372,f295]) ).
fof(f295,plain,
( empty(sK24)
| ~ spl27_13 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f372,plain,
( ! [X0] :
( ~ empty(X0)
| empty_set = X0 )
| ~ spl27_30 ),
inference(avatar_component_clause,[],[f371]) ).
fof(f389,plain,
( ! [X0] : empty_set = sK18(X0)
| ~ spl27_19
| ~ spl27_30 ),
inference(resolution,[],[f372,f323]) ).
fof(f323,plain,
( ! [X0] : empty(sK18(X0))
| ~ spl27_19 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f495,plain,
( ! [X0] :
( empty(powerset(X0))
| in(sK18(X0),powerset(X0)) )
| ~ spl27_31
| ~ spl27_50 ),
inference(resolution,[],[f466,f376]) ).
fof(f376,plain,
( ! [X0] : element(sK18(X0),powerset(X0))
| ~ spl27_31 ),
inference(avatar_component_clause,[],[f375]) ).
fof(f785,plain,
( spl27_99
| ~ spl27_40
| ~ spl27_49 ),
inference(avatar_split_clause,[],[f485,f461,f417,f783]) ).
fof(f783,plain,
( spl27_99
<=> ! [X0] :
( finite(sK8(X0))
| ~ finite(X0)
| empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_99])]) ).
fof(f485,plain,
( ! [X0] :
( finite(sK8(X0))
| ~ finite(X0)
| empty(X0) )
| ~ spl27_40
| ~ spl27_49 ),
inference(resolution,[],[f462,f418]) ).
fof(f781,plain,
( spl27_98
| ~ spl27_46
| ~ spl27_49 ),
inference(avatar_split_clause,[],[f484,f461,f441,f779]) ).
fof(f484,plain,
( ! [X0,X1] :
( finite(X0)
| ~ finite(X1)
| ~ subset(X0,X1) )
| ~ spl27_46
| ~ spl27_49 ),
inference(resolution,[],[f462,f442]) ).
fof(f770,plain,
( spl27_97
| ~ spl27_37
| ~ spl27_54 ),
inference(avatar_split_clause,[],[f499,f481,f404,f768]) ).
fof(f499,plain,
( ! [X0,X1] : relation_of2_as_subset(sK19(X0,X1),X0,X1)
| ~ spl27_37
| ~ spl27_54 ),
inference(resolution,[],[f482,f405]) ).
fof(f766,plain,
( spl27_96
| ~ spl27_39
| ~ spl27_53 ),
inference(avatar_split_clause,[],[f498,f477,f413,f764]) ).
fof(f498,plain,
( ! [X0,X1] : relation_of2(sK20(X0,X1),X0,X1)
| ~ spl27_39
| ~ spl27_53 ),
inference(resolution,[],[f478,f414]) ).
fof(f762,plain,
( spl27_95
| ~ spl27_23
| ~ spl27_50 ),
inference(avatar_split_clause,[],[f494,f465,f338,f760]) ).
fof(f494,plain,
( ! [X0] :
( empty(X0)
| in(sK17(X0),X0) )
| ~ spl27_23
| ~ spl27_50 ),
inference(resolution,[],[f466,f339]) ).
fof(f754,plain,
( spl27_94
| ~ spl27_23
| ~ spl27_49 ),
inference(avatar_split_clause,[],[f488,f461,f338,f752]) ).
fof(f752,plain,
( spl27_94
<=> ! [X0] :
( finite(sK17(powerset(X0)))
| ~ finite(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_94])]) ).
fof(f488,plain,
( ! [X0] :
( finite(sK17(powerset(X0)))
| ~ finite(X0) )
| ~ spl27_23
| ~ spl27_49 ),
inference(resolution,[],[f462,f339]) ).
fof(f732,plain,
( spl27_91
| ~ spl27_30
| ~ spl27_87 ),
inference(avatar_split_clause,[],[f725,f688,f371,f709]) ).
fof(f725,plain,
( ! [X0] :
( sK24 = X0
| ~ empty(X0) )
| ~ spl27_30
| ~ spl27_87 ),
inference(forward_demodulation,[],[f372,f690]) ).
fof(f724,plain,
( ~ spl27_9
| ~ spl27_92 ),
inference(avatar_contradiction_clause,[],[f719]) ).
fof(f719,plain,
( $false
| ~ spl27_9
| ~ spl27_92 ),
inference(resolution,[],[f714,f275]) ).
fof(f714,plain,
( ! [X0] : ~ empty(X0)
| ~ spl27_92 ),
inference(avatar_component_clause,[],[f713]) ).
fof(f713,plain,
( spl27_92
<=> ! [X0] : ~ empty(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_92])]) ).
fof(f723,plain,
( ~ spl27_13
| ~ spl27_92 ),
inference(avatar_contradiction_clause,[],[f720]) ).
fof(f720,plain,
( $false
| ~ spl27_13
| ~ spl27_92 ),
inference(resolution,[],[f714,f295]) ).
fof(f722,plain,
( ~ spl27_19
| ~ spl27_92 ),
inference(avatar_contradiction_clause,[],[f721]) ).
fof(f721,plain,
( $false
| ~ spl27_19
| ~ spl27_92 ),
inference(resolution,[],[f714,f323]) ).
fof(f718,plain,
( spl27_92
| spl27_93
| ~ spl27_13
| ~ spl27_19
| ~ spl27_30
| ~ spl27_31
| ~ spl27_56 ),
inference(avatar_split_clause,[],[f514,f505,f375,f371,f322,f293,f716,f713]) ).
fof(f514,plain,
( ! [X0,X1] :
( ~ in(X1,sK24)
| ~ empty(X0) )
| ~ spl27_13
| ~ spl27_19
| ~ spl27_30
| ~ spl27_31
| ~ spl27_56 ),
inference(forward_demodulation,[],[f513,f390]) ).
fof(f513,plain,
( ! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK18(X0)) )
| ~ spl27_31
| ~ spl27_56 ),
inference(resolution,[],[f506,f376]) ).
fof(f711,plain,
( spl27_91
| ~ spl27_13
| ~ spl27_47 ),
inference(avatar_split_clause,[],[f457,f445,f293,f709]) ).
fof(f457,plain,
( ! [X0] :
( sK24 = X0
| ~ empty(X0) )
| ~ spl27_13
| ~ spl27_47 ),
inference(resolution,[],[f446,f295]) ).
fof(f707,plain,
( spl27_90
| ~ spl27_31
| ~ spl27_88 ),
inference(avatar_split_clause,[],[f698,f695,f375,f705]) ).
fof(f705,plain,
( spl27_90
<=> ! [X0] : element(sK24,powerset(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_90])]) ).
fof(f695,plain,
( spl27_88
<=> ! [X0] : sK18(X0) = sK24 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_88])]) ).
fof(f698,plain,
( ! [X0] : element(sK24,powerset(X0))
| ~ spl27_31
| ~ spl27_88 ),
inference(superposition,[],[f376,f696]) ).
fof(f696,plain,
( ! [X0] : sK18(X0) = sK24
| ~ spl27_88 ),
inference(avatar_component_clause,[],[f695]) ).
fof(f703,plain,
( spl27_89
| ~ spl27_34
| ~ spl27_43 ),
inference(avatar_split_clause,[],[f450,f429,f392,f701]) ).
fof(f429,plain,
( spl27_43
<=> ! [X0,X1] :
( rel_str(X1)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_43])]) ).
fof(f450,plain,
( ! [X0] :
( rel_str(sK11(X0))
| ~ one_sorted_str(X0) )
| ~ spl27_34
| ~ spl27_43 ),
inference(duplicate_literal_removal,[],[f449]) ).
fof(f449,plain,
( ! [X0] :
( rel_str(sK11(X0))
| ~ one_sorted_str(X0)
| ~ one_sorted_str(X0) )
| ~ spl27_34
| ~ spl27_43 ),
inference(resolution,[],[f430,f393]) ).
fof(f430,plain,
( ! [X0,X1] :
( ~ net_str(X1,X0)
| rel_str(X1)
| ~ one_sorted_str(X0) )
| ~ spl27_43 ),
inference(avatar_component_clause,[],[f429]) ).
fof(f697,plain,
( spl27_88
| ~ spl27_13
| ~ spl27_19
| ~ spl27_30 ),
inference(avatar_split_clause,[],[f390,f371,f322,f293,f695]) ).
fof(f691,plain,
( spl27_87
| ~ spl27_13
| ~ spl27_30 ),
inference(avatar_split_clause,[],[f388,f371,f293,f688]) ).
fof(f685,plain,
( spl27_86
| ~ spl27_19
| ~ spl27_22 ),
inference(avatar_split_clause,[],[f344,f334,f322,f683]) ).
fof(f683,plain,
( spl27_86
<=> ! [X0] : finite(sK18(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_86])]) ).
fof(f344,plain,
( ! [X0] : finite(sK18(X0))
| ~ spl27_19
| ~ spl27_22 ),
inference(resolution,[],[f335,f323]) ).
fof(f681,plain,
( spl27_1
| ~ spl27_2
| spl27_3
| spl27_85
| ~ spl27_4
| ~ spl27_68 ),
inference(avatar_split_clause,[],[f585,f579,f249,f678,f244,f239,f234]) ).
fof(f585,plain,
( sP3(sK4,sK5)
| empty_carrier(sK5)
| ~ one_sorted_str(sK4)
| empty_carrier(sK4)
| ~ spl27_4
| ~ spl27_68 ),
inference(resolution,[],[f580,f251]) ).
fof(f675,plain,
( spl27_1
| ~ spl27_2
| spl27_3
| spl27_69
| ~ spl27_4
| ~ spl27_67 ),
inference(avatar_split_clause,[],[f582,f575,f249,f589,f244,f239,f234]) ).
fof(f582,plain,
( sP1(sK4,sK5)
| empty_carrier(sK5)
| ~ one_sorted_str(sK4)
| empty_carrier(sK4)
| ~ spl27_4
| ~ spl27_67 ),
inference(resolution,[],[f576,f251]) ).
fof(f673,plain,
spl27_84,
inference(avatar_split_clause,[],[f224,f671]) ).
fof(f224,plain,
! [X2,X3,X0,X1] :
( apply_on_structs(X0,X1,X2,X3) = apply(X2,X3)
| ~ element(X3,the_carrier(X0))
| ~ relation_of2(X2,the_carrier(X0),the_carrier(X1))
| ~ quasi_total(X2,the_carrier(X0),the_carrier(X1))
| ~ function(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1,X2,X3] :
( apply_on_structs(X0,X1,X2,X3) = apply(X2,X3)
| ~ element(X3,the_carrier(X0))
| ~ relation_of2(X2,the_carrier(X0),the_carrier(X1))
| ~ quasi_total(X2,the_carrier(X0),the_carrier(X1))
| ~ function(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f100]) ).
fof(f100,plain,
! [X0,X1,X2,X3] :
( apply_on_structs(X0,X1,X2,X3) = apply(X2,X3)
| ~ element(X3,the_carrier(X0))
| ~ relation_of2(X2,the_carrier(X0),the_carrier(X1))
| ~ quasi_total(X2,the_carrier(X0),the_carrier(X1))
| ~ function(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0,X1,X2,X3] :
( ( element(X3,the_carrier(X0))
& relation_of2(X2,the_carrier(X0),the_carrier(X1))
& quasi_total(X2,the_carrier(X0),the_carrier(X1))
& function(X2)
& one_sorted_str(X1)
& ~ empty_carrier(X1)
& one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> apply_on_structs(X0,X1,X2,X3) = apply(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k1_waybel_0) ).
fof(f666,plain,
spl27_83,
inference(avatar_split_clause,[],[f223,f664]) ).
fof(f223,plain,
! [X2,X3,X0,X1] :
( element(apply_on_structs(X0,X1,X2,X3),the_carrier(X1))
| ~ element(X3,the_carrier(X0))
| ~ relation_of2(X2,the_carrier(X0),the_carrier(X1))
| ~ quasi_total(X2,the_carrier(X0),the_carrier(X1))
| ~ function(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1,X2,X3] :
( element(apply_on_structs(X0,X1,X2,X3),the_carrier(X1))
| ~ element(X3,the_carrier(X0))
| ~ relation_of2(X2,the_carrier(X0),the_carrier(X1))
| ~ quasi_total(X2,the_carrier(X0),the_carrier(X1))
| ~ function(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f98]) ).
fof(f98,plain,
! [X0,X1,X2,X3] :
( element(apply_on_structs(X0,X1,X2,X3),the_carrier(X1))
| ~ element(X3,the_carrier(X0))
| ~ relation_of2(X2,the_carrier(X0),the_carrier(X1))
| ~ quasi_total(X2,the_carrier(X0),the_carrier(X1))
| ~ function(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1,X2,X3] :
( ( element(X3,the_carrier(X0))
& relation_of2(X2,the_carrier(X0),the_carrier(X1))
& quasi_total(X2,the_carrier(X0),the_carrier(X1))
& function(X2)
& one_sorted_str(X1)
& ~ empty_carrier(X1)
& one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> element(apply_on_structs(X0,X1,X2,X3),the_carrier(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_waybel_0) ).
fof(f655,plain,
spl27_82,
inference(avatar_split_clause,[],[f181,f653]) ).
fof(f181,plain,
! [X2,X0,X1] :
( apply_netmap(X0,X1,X2) = apply_on_structs(X1,X0,the_mapping(X0,X1),X2)
| ~ element(X2,the_carrier(X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( apply_netmap(X0,X1,X2) = apply_on_structs(X1,X0,the_mapping(X0,X1),X2)
| ~ element(X2,the_carrier(X1)) )
| ~ net_str(X1,X0)
| empty_carrier(X1) )
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f71]) ).
fof(f71,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( apply_netmap(X0,X1,X2) = apply_on_structs(X1,X0,the_mapping(X0,X1),X2)
| ~ element(X2,the_carrier(X1)) )
| ~ net_str(X1,X0)
| empty_carrier(X1) )
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( ( net_str(X1,X0)
& ~ empty_carrier(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> apply_netmap(X0,X1,X2) = apply_on_structs(X1,X0,the_mapping(X0,X1),X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_waybel_0) ).
fof(f647,plain,
spl27_81,
inference(avatar_split_clause,[],[f193,f645]) ).
fof(f193,plain,
! [X2,X0,X1,X6] :
( in(apply_netmap(X2,X1,X6),X0)
| ~ related(X1,sK15(X0,X1,X2),X6)
| ~ element(X6,the_carrier(X1))
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0,X1,X2] :
( ( sP2(X0,X1,X2)
| ! [X3] :
( ( ~ in(apply_netmap(X2,X1,sK14(X0,X1,X2,X3)),X0)
& related(X1,X3,sK14(X0,X1,X2,X3))
& element(sK14(X0,X1,X2,X3),the_carrier(X1)) )
| ~ element(X3,the_carrier(X1)) ) )
& ( ( ! [X6] :
( in(apply_netmap(X2,X1,X6),X0)
| ~ related(X1,sK15(X0,X1,X2),X6)
| ~ element(X6,the_carrier(X1)) )
& element(sK15(X0,X1,X2),the_carrier(X1)) )
| ~ sP2(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15])],[f128,f130,f129]) ).
fof(f129,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( ~ in(apply_netmap(X2,X1,X4),X0)
& related(X1,X3,X4)
& element(X4,the_carrier(X1)) )
=> ( ~ in(apply_netmap(X2,X1,sK14(X0,X1,X2,X3)),X0)
& related(X1,X3,sK14(X0,X1,X2,X3))
& element(sK14(X0,X1,X2,X3),the_carrier(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f130,plain,
! [X0,X1,X2] :
( ? [X5] :
( ! [X6] :
( in(apply_netmap(X2,X1,X6),X0)
| ~ related(X1,X5,X6)
| ~ element(X6,the_carrier(X1)) )
& element(X5,the_carrier(X1)) )
=> ( ! [X6] :
( in(apply_netmap(X2,X1,X6),X0)
| ~ related(X1,sK15(X0,X1,X2),X6)
| ~ element(X6,the_carrier(X1)) )
& element(sK15(X0,X1,X2),the_carrier(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f128,plain,
! [X0,X1,X2] :
( ( sP2(X0,X1,X2)
| ! [X3] :
( ? [X4] :
( ~ in(apply_netmap(X2,X1,X4),X0)
& related(X1,X3,X4)
& element(X4,the_carrier(X1)) )
| ~ element(X3,the_carrier(X1)) ) )
& ( ? [X5] :
( ! [X6] :
( in(apply_netmap(X2,X1,X6),X0)
| ~ related(X1,X5,X6)
| ~ element(X6,the_carrier(X1)) )
& element(X5,the_carrier(X1)) )
| ~ sP2(X0,X1,X2) ) ),
inference(rectify,[],[f127]) ).
fof(f127,plain,
! [X2,X1,X0] :
( ( sP2(X2,X1,X0)
| ! [X3] :
( ? [X4] :
( ~ in(apply_netmap(X0,X1,X4),X2)
& related(X1,X3,X4)
& element(X4,the_carrier(X1)) )
| ~ element(X3,the_carrier(X1)) ) )
& ( ? [X3] :
( ! [X4] :
( in(apply_netmap(X0,X1,X4),X2)
| ~ related(X1,X3,X4)
| ~ element(X4,the_carrier(X1)) )
& element(X3,the_carrier(X1)) )
| ~ sP2(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X2,X1,X0] :
( sP2(X2,X1,X0)
<=> ? [X3] :
( ! [X4] :
( in(apply_netmap(X0,X1,X4),X2)
| ~ related(X1,X3,X4)
| ~ element(X4,the_carrier(X1)) )
& element(X3,the_carrier(X1)) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f643,plain,
spl27_80,
inference(avatar_split_clause,[],[f188,f641]) ).
fof(f188,plain,
! [X2,X0,X1,X4] :
( sP0(X0,X1,X2)
| ~ in(apply_netmap(X2,X1,X4),X0)
| ~ related(X1,sK12(X0,X1,X2),X4)
| ~ element(X4,the_carrier(X1)) ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ( ! [X4] :
( ~ in(apply_netmap(X2,X1,X4),X0)
| ~ related(X1,sK12(X0,X1,X2),X4)
| ~ element(X4,the_carrier(X1)) )
& element(sK12(X0,X1,X2),the_carrier(X1)) ) )
& ( ! [X5] :
( ( in(apply_netmap(X2,X1,sK13(X0,X1,X2,X5)),X0)
& related(X1,X5,sK13(X0,X1,X2,X5))
& element(sK13(X0,X1,X2,X5),the_carrier(X1)) )
| ~ element(X5,the_carrier(X1)) )
| ~ sP0(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13])],[f122,f124,f123]) ).
fof(f123,plain,
! [X0,X1,X2] :
( ? [X3] :
( ! [X4] :
( ~ in(apply_netmap(X2,X1,X4),X0)
| ~ related(X1,X3,X4)
| ~ element(X4,the_carrier(X1)) )
& element(X3,the_carrier(X1)) )
=> ( ! [X4] :
( ~ in(apply_netmap(X2,X1,X4),X0)
| ~ related(X1,sK12(X0,X1,X2),X4)
| ~ element(X4,the_carrier(X1)) )
& element(sK12(X0,X1,X2),the_carrier(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f124,plain,
! [X0,X1,X2,X5] :
( ? [X6] :
( in(apply_netmap(X2,X1,X6),X0)
& related(X1,X5,X6)
& element(X6,the_carrier(X1)) )
=> ( in(apply_netmap(X2,X1,sK13(X0,X1,X2,X5)),X0)
& related(X1,X5,sK13(X0,X1,X2,X5))
& element(sK13(X0,X1,X2,X5),the_carrier(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f122,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ? [X3] :
( ! [X4] :
( ~ in(apply_netmap(X2,X1,X4),X0)
| ~ related(X1,X3,X4)
| ~ element(X4,the_carrier(X1)) )
& element(X3,the_carrier(X1)) ) )
& ( ! [X5] :
( ? [X6] :
( in(apply_netmap(X2,X1,X6),X0)
& related(X1,X5,X6)
& element(X6,the_carrier(X1)) )
| ~ element(X5,the_carrier(X1)) )
| ~ sP0(X0,X1,X2) ) ),
inference(rectify,[],[f121]) ).
fof(f121,plain,
! [X2,X1,X0] :
( ( sP0(X2,X1,X0)
| ? [X3] :
( ! [X4] :
( ~ in(apply_netmap(X0,X1,X4),X2)
| ~ related(X1,X3,X4)
| ~ element(X4,the_carrier(X1)) )
& element(X3,the_carrier(X1)) ) )
& ( ! [X3] :
( ? [X4] :
( in(apply_netmap(X0,X1,X4),X2)
& related(X1,X3,X4)
& element(X4,the_carrier(X1)) )
| ~ element(X3,the_carrier(X1)) )
| ~ sP0(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X2,X1,X0] :
( sP0(X2,X1,X0)
<=> ! [X3] :
( ? [X4] :
( in(apply_netmap(X0,X1,X4),X2)
& related(X1,X3,X4)
& element(X4,the_carrier(X1)) )
| ~ element(X3,the_carrier(X1)) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f638,plain,
spl27_79,
inference(avatar_split_clause,[],[f218,f636]) ).
fof(f218,plain,
! [X2,X0,X1] :
( element(apply_netmap(X0,X1,X2),the_carrier(X0))
| ~ element(X2,the_carrier(X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0,X1,X2] :
( element(apply_netmap(X0,X1,X2),the_carrier(X0))
| ~ element(X2,the_carrier(X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f93]) ).
fof(f93,plain,
! [X0,X1,X2] :
( element(apply_netmap(X0,X1,X2),the_carrier(X0))
| ~ element(X2,the_carrier(X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1,X2] :
( ( element(X2,the_carrier(X1))
& net_str(X1,X0)
& ~ empty_carrier(X1)
& one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> element(apply_netmap(X0,X1,X2),the_carrier(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_waybel_0) ).
fof(f631,plain,
spl27_78,
inference(avatar_split_clause,[],[f196,f629]) ).
fof(f196,plain,
! [X2,X3,X0,X1] :
( sP2(X0,X1,X2)
| ~ in(apply_netmap(X2,X1,sK14(X0,X1,X2,X3)),X0)
| ~ element(X3,the_carrier(X1)) ),
inference(cnf_transformation,[],[f131]) ).
fof(f627,plain,
spl27_77,
inference(avatar_split_clause,[],[f186,f625]) ).
fof(f186,plain,
! [X2,X0,X1,X5] :
( in(apply_netmap(X2,X1,sK13(X0,X1,X2,X5)),X0)
| ~ element(X5,the_carrier(X1))
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f125]) ).
fof(f621,plain,
spl27_76,
inference(avatar_split_clause,[],[f195,f619]) ).
fof(f195,plain,
! [X2,X3,X0,X1] :
( sP2(X0,X1,X2)
| related(X1,X3,sK14(X0,X1,X2,X3))
| ~ element(X3,the_carrier(X1)) ),
inference(cnf_transformation,[],[f131]) ).
fof(f617,plain,
spl27_75,
inference(avatar_split_clause,[],[f194,f615]) ).
fof(f194,plain,
! [X2,X3,X0,X1] :
( sP2(X0,X1,X2)
| element(sK14(X0,X1,X2,X3),the_carrier(X1))
| ~ element(X3,the_carrier(X1)) ),
inference(cnf_transformation,[],[f131]) ).
fof(f613,plain,
spl27_74,
inference(avatar_split_clause,[],[f185,f611]) ).
fof(f185,plain,
! [X2,X0,X1,X5] :
( related(X1,X5,sK13(X0,X1,X2,X5))
| ~ element(X5,the_carrier(X1))
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f125]) ).
fof(f609,plain,
spl27_73,
inference(avatar_split_clause,[],[f184,f607]) ).
fof(f184,plain,
! [X2,X0,X1,X5] :
( element(sK13(X0,X1,X2,X5),the_carrier(X1))
| ~ element(X5,the_carrier(X1))
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f125]) ).
fof(f604,plain,
spl27_72,
inference(avatar_split_clause,[],[f210,f602]) ).
fof(f210,plain,
! [X0,X1] :
( relation_of2_as_subset(the_mapping(X0,X1),the_carrier(X1),the_carrier(X0))
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0,X1] :
( ( relation_of2_as_subset(the_mapping(X0,X1),the_carrier(X1),the_carrier(X0))
& quasi_total(the_mapping(X0,X1),the_carrier(X1),the_carrier(X0))
& function(the_mapping(X0,X1)) )
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) ),
inference(flattening,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( ( relation_of2_as_subset(the_mapping(X0,X1),the_carrier(X1),the_carrier(X0))
& quasi_total(the_mapping(X0,X1),the_carrier(X1),the_carrier(X0))
& function(the_mapping(X0,X1)) )
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0,X1] :
( ( net_str(X1,X0)
& one_sorted_str(X0) )
=> ( relation_of2_as_subset(the_mapping(X0,X1),the_carrier(X1),the_carrier(X0))
& quasi_total(the_mapping(X0,X1),the_carrier(X1),the_carrier(X0))
& function(the_mapping(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u1_waybel_0) ).
fof(f600,plain,
spl27_71,
inference(avatar_split_clause,[],[f209,f598]) ).
fof(f209,plain,
! [X0,X1] :
( quasi_total(the_mapping(X0,X1),the_carrier(X1),the_carrier(X0))
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f596,plain,
( ~ spl27_69
| spl27_70
| ~ spl27_7
| ~ spl27_61 ),
inference(avatar_split_clause,[],[f571,f548,f263,f593,f589]) ).
fof(f571,plain,
( sP0(sK6,sK5,sK4)
| ~ sP1(sK4,sK5)
| ~ spl27_7
| ~ spl27_61 ),
inference(resolution,[],[f549,f265]) ).
fof(f581,plain,
spl27_68,
inference(avatar_split_clause,[],[f197,f579]) ).
fof(f197,plain,
! [X0,X1] :
( sP3(X0,X1)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0] :
( ! [X1] :
( sP3(X0,X1)
| ~ net_str(X1,X0)
| empty_carrier(X1) )
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(definition_folding,[],[f76,f106,f105]) ).
fof(f106,plain,
! [X0,X1] :
( ! [X2] :
( is_eventually_in(X0,X1,X2)
<=> sP2(X2,X1,X0) )
| ~ sP3(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f76,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( is_eventually_in(X0,X1,X2)
<=> ? [X3] :
( ! [X4] :
( in(apply_netmap(X0,X1,X4),X2)
| ~ related(X1,X3,X4)
| ~ element(X4,the_carrier(X1)) )
& element(X3,the_carrier(X1)) ) )
| ~ net_str(X1,X0)
| empty_carrier(X1) )
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f75]) ).
fof(f75,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( is_eventually_in(X0,X1,X2)
<=> ? [X3] :
( ! [X4] :
( in(apply_netmap(X0,X1,X4),X2)
| ~ related(X1,X3,X4)
| ~ element(X4,the_carrier(X1)) )
& element(X3,the_carrier(X1)) ) )
| ~ net_str(X1,X0)
| empty_carrier(X1) )
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( ( net_str(X1,X0)
& ~ empty_carrier(X1) )
=> ! [X2] :
( is_eventually_in(X0,X1,X2)
<=> ? [X3] :
( ! [X4] :
( element(X4,the_carrier(X1))
=> ( related(X1,X3,X4)
=> in(apply_netmap(X0,X1,X4),X2) ) )
& element(X3,the_carrier(X1)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d11_waybel_0) ).
fof(f577,plain,
spl27_67,
inference(avatar_split_clause,[],[f189,f575]) ).
fof(f189,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0] :
( ! [X1] :
( sP1(X0,X1)
| ~ net_str(X1,X0)
| empty_carrier(X1) )
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(definition_folding,[],[f74,f103,f102]) ).
fof(f103,plain,
! [X0,X1] :
( ! [X2] :
( is_often_in(X0,X1,X2)
<=> sP0(X2,X1,X0) )
| ~ sP1(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f74,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( is_often_in(X0,X1,X2)
<=> ! [X3] :
( ? [X4] :
( in(apply_netmap(X0,X1,X4),X2)
& related(X1,X3,X4)
& element(X4,the_carrier(X1)) )
| ~ element(X3,the_carrier(X1)) ) )
| ~ net_str(X1,X0)
| empty_carrier(X1) )
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f73]) ).
fof(f73,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( is_often_in(X0,X1,X2)
<=> ! [X3] :
( ? [X4] :
( in(apply_netmap(X0,X1,X4),X2)
& related(X1,X3,X4)
& element(X4,the_carrier(X1)) )
| ~ element(X3,the_carrier(X1)) ) )
| ~ net_str(X1,X0)
| empty_carrier(X1) )
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( ( net_str(X1,X0)
& ~ empty_carrier(X1) )
=> ! [X2] :
( is_often_in(X0,X1,X2)
<=> ! [X3] :
( element(X3,the_carrier(X1))
=> ? [X4] :
( in(apply_netmap(X0,X1,X4),X2)
& related(X1,X3,X4)
& element(X4,the_carrier(X1)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d12_waybel_0) ).
fof(f570,plain,
spl27_66,
inference(avatar_split_clause,[],[f192,f568]) ).
fof(f192,plain,
! [X2,X0,X1] :
( element(sK15(X0,X1,X2),the_carrier(X1))
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f131]) ).
fof(f566,plain,
spl27_65,
inference(avatar_split_clause,[],[f191,f564]) ).
fof(f191,plain,
! [X2,X0,X1] :
( is_eventually_in(X0,X1,X2)
| ~ sP2(X2,X1,X0)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0,X1] :
( ! [X2] :
( ( is_eventually_in(X0,X1,X2)
| ~ sP2(X2,X1,X0) )
& ( sP2(X2,X1,X0)
| ~ is_eventually_in(X0,X1,X2) ) )
| ~ sP3(X0,X1) ),
inference(nnf_transformation,[],[f106]) ).
fof(f562,plain,
spl27_64,
inference(avatar_split_clause,[],[f190,f560]) ).
fof(f190,plain,
! [X2,X0,X1] :
( sP2(X2,X1,X0)
| ~ is_eventually_in(X0,X1,X2)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f126]) ).
fof(f558,plain,
spl27_63,
inference(avatar_split_clause,[],[f187,f556]) ).
fof(f187,plain,
! [X2,X0,X1] :
( sP0(X0,X1,X2)
| element(sK12(X0,X1,X2),the_carrier(X1)) ),
inference(cnf_transformation,[],[f125]) ).
fof(f554,plain,
spl27_62,
inference(avatar_split_clause,[],[f183,f552]) ).
fof(f183,plain,
! [X2,X0,X1] :
( is_often_in(X0,X1,X2)
| ~ sP0(X2,X1,X0)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0,X1] :
( ! [X2] :
( ( is_often_in(X0,X1,X2)
| ~ sP0(X2,X1,X0) )
& ( sP0(X2,X1,X0)
| ~ is_often_in(X0,X1,X2) ) )
| ~ sP1(X0,X1) ),
inference(nnf_transformation,[],[f103]) ).
fof(f550,plain,
spl27_61,
inference(avatar_split_clause,[],[f182,f548]) ).
fof(f182,plain,
! [X2,X0,X1] :
( sP0(X2,X1,X0)
| ~ is_often_in(X0,X1,X2)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f120]) ).
fof(f531,plain,
spl27_60,
inference(avatar_split_clause,[],[f219,f529]) ).
fof(f219,plain,
! [X2,X0,X1] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(flattening,[],[f95]) ).
fof(f95,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,axiom,
! [X0,X1,X2] :
( ( element(X1,powerset(X2))
& in(X0,X1) )
=> element(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(f527,plain,
( spl27_59
| ~ spl27_21
| ~ spl27_48 ),
inference(avatar_split_clause,[],[f497,f452,f330,f524]) ).
fof(f452,plain,
( spl27_48
<=> rel_str(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_48])]) ).
fof(f497,plain,
( one_sorted_str(sK5)
| ~ spl27_21
| ~ spl27_48 ),
inference(resolution,[],[f454,f331]) ).
fof(f454,plain,
( rel_str(sK5)
| ~ spl27_48 ),
inference(avatar_component_clause,[],[f452]) ).
fof(f522,plain,
spl27_58,
inference(avatar_split_clause,[],[f217,f520]) ).
fof(f217,plain,
! [X2,X0,X1] :
( element(X2,powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1,X2] :
( element(X2,powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
=> element(X2,powerset(cartesian_product2(X0,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f518,plain,
spl27_57,
inference(avatar_split_clause,[],[f198,f516]) ).
fof(f198,plain,
! [X0] :
( element(sK16(X0),powerset(the_carrier(X0)))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0] :
( ( ~ empty(sK16(X0))
& element(sK16(X0),powerset(the_carrier(X0))) )
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f78,f132]) ).
fof(f132,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
=> ( ~ empty(sK16(X0))
& element(sK16(X0),powerset(the_carrier(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f78,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f77]) ).
fof(f77,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ? [X1] :
( ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc5_struct_0) ).
fof(f507,plain,
spl27_56,
inference(avatar_split_clause,[],[f222,f505]) ).
fof(f222,plain,
! [X2,X0,X1] :
( ~ empty(X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1,X2] :
( ~ empty(X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,axiom,
! [X0,X1,X2] :
~ ( empty(X2)
& element(X1,powerset(X2))
& in(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_subset) ).
fof(f503,plain,
spl27_55,
inference(avatar_split_clause,[],[f208,f501]) ).
fof(f208,plain,
! [X0,X1] :
( function(the_mapping(X0,X1))
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f483,plain,
spl27_54,
inference(avatar_split_clause,[],[f221,f481]) ).
fof(f221,plain,
! [X2,X0,X1] :
( relation_of2_as_subset(X2,X0,X1)
| ~ relation_of2(X2,X0,X1) ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0,X1,X2] :
( ( relation_of2_as_subset(X2,X0,X1)
| ~ relation_of2(X2,X0,X1) )
& ( relation_of2(X2,X0,X1)
| ~ relation_of2_as_subset(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
<=> relation_of2(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f479,plain,
spl27_53,
inference(avatar_split_clause,[],[f220,f477]) ).
fof(f220,plain,
! [X2,X0,X1] :
( relation_of2(X2,X0,X1)
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(cnf_transformation,[],[f142]) ).
fof(f475,plain,
spl27_52,
inference(avatar_split_clause,[],[f211,f473]) ).
fof(f211,plain,
! [X0,X1] :
( finite(cartesian_product2(X0,X1))
| ~ finite(X1)
| ~ finite(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1] :
( finite(cartesian_product2(X0,X1))
| ~ finite(X1)
| ~ finite(X0) ),
inference(flattening,[],[f87]) ).
fof(f87,plain,
! [X0,X1] :
( finite(cartesian_product2(X0,X1))
| ~ finite(X1)
| ~ finite(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0,X1] :
( ( finite(X1)
& finite(X0) )
=> finite(cartesian_product2(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc14_finset_1) ).
fof(f471,plain,
spl27_51,
inference(avatar_split_clause,[],[f207,f469]) ).
fof(f469,plain,
( spl27_51
<=> ! [X0,X1] :
( ~ empty(cartesian_product2(X0,X1))
| empty(X1)
| empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_51])]) ).
fof(f207,plain,
! [X0,X1] :
( ~ empty(cartesian_product2(X0,X1))
| empty(X1)
| empty(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0,X1] :
( ~ empty(cartesian_product2(X0,X1))
| empty(X1)
| empty(X0) ),
inference(flattening,[],[f83]) ).
fof(f83,plain,
! [X0,X1] :
( ~ empty(cartesian_product2(X0,X1))
| empty(X1)
| empty(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0,X1] :
( ( ~ empty(X1)
& ~ empty(X0) )
=> ~ empty(cartesian_product2(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_subset_1) ).
fof(f467,plain,
spl27_50,
inference(avatar_split_clause,[],[f206,f465]) ).
fof(f206,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( in(X0,X1)
| empty(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f463,plain,
spl27_49,
inference(avatar_split_clause,[],[f177,f461]) ).
fof(f177,plain,
! [X0,X1] :
( finite(X1)
| ~ element(X1,powerset(X0))
| ~ finite(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0] :
( ! [X1] :
( finite(X1)
| ~ element(X1,powerset(X0)) )
| ~ finite(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( finite(X0)
=> ! [X1] :
( element(X1,powerset(X0))
=> finite(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_finset_1) ).
fof(f455,plain,
( ~ spl27_2
| spl27_48
| ~ spl27_4
| ~ spl27_43 ),
inference(avatar_split_clause,[],[f448,f429,f249,f452,f239]) ).
fof(f448,plain,
( rel_str(sK5)
| ~ one_sorted_str(sK4)
| ~ spl27_4
| ~ spl27_43 ),
inference(resolution,[],[f430,f251]) ).
fof(f447,plain,
spl27_47,
inference(avatar_split_clause,[],[f213,f445]) ).
fof(f213,plain,
! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,axiom,
! [X0,X1] :
~ ( empty(X1)
& X0 != X1
& empty(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_boole) ).
fof(f443,plain,
spl27_46,
inference(avatar_split_clause,[],[f212,f441]) ).
fof(f212,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( subset(X0,X1)
=> element(X0,powerset(X1)) ),
inference(unused_predicate_definition_removal,[],[f47]) ).
fof(f47,axiom,
! [X0,X1] :
( element(X0,powerset(X1))
<=> subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(f439,plain,
spl27_45,
inference(avatar_split_clause,[],[f199,f437]) ).
fof(f199,plain,
! [X0] :
( ~ empty(sK16(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f435,plain,
spl27_44,
inference(avatar_split_clause,[],[f180,f433]) ).
fof(f180,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f69]) ).
fof(f69,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ~ empty(the_carrier(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f431,plain,
spl27_43,
inference(avatar_split_clause,[],[f175,f429]) ).
fof(f175,plain,
! [X0,X1] :
( rel_str(X1)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0] :
( ! [X1] :
( rel_str(X1)
| ~ net_str(X1,X0) )
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( one_sorted_str(X0)
=> ! [X1] :
( net_str(X1,X0)
=> rel_str(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_waybel_0) ).
fof(f427,plain,
spl27_42,
inference(avatar_split_clause,[],[f171,f425]) ).
fof(f171,plain,
! [X0] :
( element(sK10(X0),powerset(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0] :
( ( finite(sK10(X0))
& ~ empty(sK10(X0))
& element(sK10(X0),powerset(X0)) )
| empty(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f62,f116]) ).
fof(f116,plain,
! [X0] :
( ? [X1] :
( finite(X1)
& ~ empty(X1)
& element(X1,powerset(X0)) )
=> ( finite(sK10(X0))
& ~ empty(sK10(X0))
& element(sK10(X0),powerset(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f62,plain,
! [X0] :
( ? [X1] :
( finite(X1)
& ~ empty(X1)
& element(X1,powerset(X0)) )
| empty(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0] :
( ~ empty(X0)
=> ? [X1] :
( finite(X1)
& ~ empty(X1)
& element(X1,powerset(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc4_finset_1) ).
fof(f423,plain,
spl27_41,
inference(avatar_split_clause,[],[f168,f421]) ).
fof(f168,plain,
! [X0] :
( element(sK9(X0),powerset(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0] :
( ( finite(sK9(X0))
& ~ empty(sK9(X0))
& element(sK9(X0),powerset(X0)) )
| empty(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f61,f114]) ).
fof(f114,plain,
! [X0] :
( ? [X1] :
( finite(X1)
& ~ empty(X1)
& element(X1,powerset(X0)) )
=> ( finite(sK9(X0))
& ~ empty(sK9(X0))
& element(sK9(X0),powerset(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f61,plain,
! [X0] :
( ? [X1] :
( finite(X1)
& ~ empty(X1)
& element(X1,powerset(X0)) )
| empty(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] :
( ~ empty(X0)
=> ? [X1] :
( finite(X1)
& ~ empty(X1)
& element(X1,powerset(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_finset_1) ).
fof(f419,plain,
spl27_40,
inference(avatar_split_clause,[],[f166,f417]) ).
fof(f166,plain,
! [X0] :
( element(sK8(X0),powerset(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0] :
( ( ~ empty(sK8(X0))
& element(sK8(X0),powerset(X0)) )
| empty(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f60,f112]) ).
fof(f112,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(X0)) )
=> ( ~ empty(sK8(X0))
& element(sK8(X0),powerset(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(X0)) )
| empty(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0] :
( ~ empty(X0)
=> ? [X1] :
( ~ empty(X1)
& element(X1,powerset(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_subset_1) ).
fof(f415,plain,
spl27_39,
inference(avatar_split_clause,[],[f216,f413]) ).
fof(f216,plain,
! [X0,X1] : relation_of2_as_subset(sK20(X0,X1),X0,X1),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0,X1] : relation_of2_as_subset(sK20(X0,X1),X0,X1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f27,f140]) ).
fof(f140,plain,
! [X0,X1] :
( ? [X2] : relation_of2_as_subset(X2,X0,X1)
=> relation_of2_as_subset(sK20(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f27,axiom,
! [X0,X1] :
? [X2] : relation_of2_as_subset(X2,X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m2_relset_1) ).
fof(f411,plain,
( spl27_38
| ~ spl27_13
| ~ spl27_22 ),
inference(avatar_split_clause,[],[f343,f334,f293,f408]) ).
fof(f408,plain,
( spl27_38
<=> finite(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_38])]) ).
fof(f343,plain,
( finite(sK24)
| ~ spl27_13
| ~ spl27_22 ),
inference(resolution,[],[f335,f295]) ).
fof(f406,plain,
spl27_37,
inference(avatar_split_clause,[],[f215,f404]) ).
fof(f215,plain,
! [X0,X1] : relation_of2(sK19(X0,X1),X0,X1),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0,X1] : relation_of2(sK19(X0,X1),X0,X1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f25,f138]) ).
fof(f138,plain,
! [X0,X1] :
( ? [X2] : relation_of2(X2,X0,X1)
=> relation_of2(sK19(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f25,axiom,
! [X0,X1] :
? [X2] : relation_of2(X2,X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_relset_1) ).
fof(f402,plain,
spl27_36,
inference(avatar_split_clause,[],[f205,f400]) ).
fof(f205,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,axiom,
! [X0,X1] :
( in(X0,X1)
=> element(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(f398,plain,
spl27_35,
inference(avatar_split_clause,[],[f204,f396]) ).
fof(f204,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( in(X0,X1)
=> ~ in(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f394,plain,
spl27_34,
inference(avatar_split_clause,[],[f176,f392]) ).
fof(f176,plain,
! [X0] :
( net_str(sK11(X0),X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0] :
( net_str(sK11(X0),X0)
| ~ one_sorted_str(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f65,f118]) ).
fof(f118,plain,
! [X0] :
( ? [X1] : net_str(X1,X0)
=> net_str(sK11(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f65,plain,
! [X0] :
( ? [X1] : net_str(X1,X0)
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0] :
( one_sorted_str(X0)
=> ? [X1] : net_str(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l1_waybel_0) ).
fof(f386,plain,
( spl27_33
| ~ spl27_9
| ~ spl27_22 ),
inference(avatar_split_clause,[],[f342,f334,f273,f383]) ).
fof(f383,plain,
( spl27_33
<=> finite(empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_33])]) ).
fof(f342,plain,
( finite(empty_set)
| ~ spl27_9
| ~ spl27_22 ),
inference(resolution,[],[f335,f275]) ).
fof(f381,plain,
spl27_32,
inference(avatar_split_clause,[],[f214,f379]) ).
fof(f214,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,axiom,
! [X0,X1] :
~ ( empty(X1)
& in(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(f377,plain,
spl27_31,
inference(avatar_split_clause,[],[f201,f375]) ).
fof(f201,plain,
! [X0] : element(sK18(X0),powerset(X0)),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0] :
( empty(sK18(X0))
& element(sK18(X0),powerset(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f36,f136]) ).
fof(f136,plain,
! [X0] :
( ? [X1] :
( empty(X1)
& element(X1,powerset(X0)) )
=> ( empty(sK18(X0))
& element(sK18(X0),powerset(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f36,axiom,
! [X0] :
? [X1] :
( empty(X1)
& element(X1,powerset(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_subset_1) ).
fof(f373,plain,
spl27_30,
inference(avatar_split_clause,[],[f179,f371]) ).
fof(f179,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,axiom,
! [X0] :
( empty(X0)
=> empty_set = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(f369,plain,
spl27_29,
inference(avatar_split_clause,[],[f173,f367]) ).
fof(f367,plain,
( spl27_29
<=> ! [X0] :
( finite(sK10(X0))
| empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_29])]) ).
fof(f173,plain,
! [X0] :
( finite(sK10(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f365,plain,
spl27_28,
inference(avatar_split_clause,[],[f172,f363]) ).
fof(f172,plain,
! [X0] :
( ~ empty(sK10(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f361,plain,
spl27_27,
inference(avatar_split_clause,[],[f170,f359]) ).
fof(f359,plain,
( spl27_27
<=> ! [X0] :
( finite(sK9(X0))
| empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_27])]) ).
fof(f170,plain,
! [X0] :
( finite(sK9(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f357,plain,
spl27_26,
inference(avatar_split_clause,[],[f169,f355]) ).
fof(f169,plain,
! [X0] :
( ~ empty(sK9(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f353,plain,
spl27_25,
inference(avatar_split_clause,[],[f167,f351]) ).
fof(f167,plain,
! [X0] :
( ~ empty(sK8(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f349,plain,
( spl27_24
| ~ spl27_11
| ~ spl27_21 ),
inference(avatar_split_clause,[],[f341,f330,f283,f346]) ).
fof(f346,plain,
( spl27_24
<=> one_sorted_str(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_24])]) ).
fof(f283,plain,
( spl27_11
<=> rel_str(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_11])]) ).
fof(f341,plain,
( one_sorted_str(sK22)
| ~ spl27_11
| ~ spl27_21 ),
inference(resolution,[],[f331,f285]) ).
fof(f285,plain,
( rel_str(sK22)
| ~ spl27_11 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f340,plain,
spl27_23,
inference(avatar_split_clause,[],[f200,f338]) ).
fof(f200,plain,
! [X0] : element(sK17(X0),X0),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0] : element(sK17(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f26,f134]) ).
fof(f134,plain,
! [X0] :
( ? [X1] : element(X1,X0)
=> element(sK17(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f26,axiom,
! [X0] :
? [X1] : element(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f336,plain,
spl27_22,
inference(avatar_split_clause,[],[f178,f334]) ).
fof(f178,plain,
! [X0] :
( finite(X0)
| ~ empty(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0] :
( finite(X0)
| ~ empty(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( empty(X0)
=> finite(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_finset_1) ).
fof(f332,plain,
spl27_21,
inference(avatar_split_clause,[],[f174,f330]) ).
fof(f174,plain,
! [X0] :
( one_sorted_str(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0] :
( one_sorted_str(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0] :
( rel_str(X0)
=> one_sorted_str(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(f328,plain,
spl27_20,
inference(avatar_split_clause,[],[f203,f326]) ).
fof(f203,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f44]) ).
fof(f44,axiom,
! [X0,X1] : subset(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f324,plain,
spl27_19,
inference(avatar_split_clause,[],[f202,f322]) ).
fof(f202,plain,
! [X0] : empty(sK18(X0)),
inference(cnf_transformation,[],[f137]) ).
fof(f320,plain,
spl27_18,
inference(avatar_split_clause,[],[f165,f318]) ).
fof(f318,plain,
( spl27_18
<=> ! [X0] : ~ empty(powerset(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_18])]) ).
fof(f165,plain,
! [X0] : ~ empty(powerset(X0)),
inference(cnf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] : ~ empty(powerset(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(f316,plain,
~ spl27_17,
inference(avatar_split_clause,[],[f232,f313]) ).
fof(f313,plain,
( spl27_17
<=> empty_carrier(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_17])]) ).
fof(f232,plain,
~ empty_carrier(sK26),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
( ~ empty_carrier(sK26)
& one_sorted_str(sK26) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f39,f153]) ).
fof(f153,plain,
( ? [X0] :
( ~ empty_carrier(X0)
& one_sorted_str(X0) )
=> ( ~ empty_carrier(sK26)
& one_sorted_str(sK26) ) ),
introduced(choice_axiom,[]) ).
fof(f39,axiom,
? [X0] :
( ~ empty_carrier(X0)
& one_sorted_str(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_struct_0) ).
fof(f311,plain,
spl27_16,
inference(avatar_split_clause,[],[f231,f308]) ).
fof(f308,plain,
( spl27_16
<=> one_sorted_str(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_16])]) ).
fof(f231,plain,
one_sorted_str(sK26),
inference(cnf_transformation,[],[f154]) ).
fof(f306,plain,
spl27_15,
inference(avatar_split_clause,[],[f230,f303]) ).
fof(f303,plain,
( spl27_15
<=> finite(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_15])]) ).
fof(f230,plain,
finite(sK25),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
( finite(sK25)
& ~ empty(sK25) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25])],[f33,f151]) ).
fof(f151,plain,
( ? [X0] :
( finite(X0)
& ~ empty(X0) )
=> ( finite(sK25)
& ~ empty(sK25) ) ),
introduced(choice_axiom,[]) ).
fof(f33,axiom,
? [X0] :
( finite(X0)
& ~ empty(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_finset_1) ).
fof(f301,plain,
~ spl27_14,
inference(avatar_split_clause,[],[f229,f298]) ).
fof(f298,plain,
( spl27_14
<=> empty(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_14])]) ).
fof(f229,plain,
~ empty(sK25),
inference(cnf_transformation,[],[f152]) ).
fof(f296,plain,
spl27_13,
inference(avatar_split_clause,[],[f228,f293]) ).
fof(f228,plain,
empty(sK24),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
empty(sK24),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f35,f149]) ).
fof(f149,plain,
( ? [X0] : empty(X0)
=> empty(sK24) ),
introduced(choice_axiom,[]) ).
fof(f35,axiom,
? [X0] : empty(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(f291,plain,
spl27_12,
inference(avatar_split_clause,[],[f227,f288]) ).
fof(f288,plain,
( spl27_12
<=> one_sorted_str(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_12])]) ).
fof(f227,plain,
one_sorted_str(sK23),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
one_sorted_str(sK23),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23])],[f23,f147]) ).
fof(f147,plain,
( ? [X0] : one_sorted_str(X0)
=> one_sorted_str(sK23) ),
introduced(choice_axiom,[]) ).
fof(f23,axiom,
? [X0] : one_sorted_str(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l1_struct_0) ).
fof(f286,plain,
spl27_11,
inference(avatar_split_clause,[],[f226,f283]) ).
fof(f226,plain,
rel_str(sK22),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
rel_str(sK22),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f22,f145]) ).
fof(f145,plain,
( ? [X0] : rel_str(X0)
=> rel_str(sK22) ),
introduced(choice_axiom,[]) ).
fof(f22,axiom,
? [X0] : rel_str(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l1_orders_2) ).
fof(f281,plain,
~ spl27_10,
inference(avatar_split_clause,[],[f225,f278]) ).
fof(f278,plain,
( spl27_10
<=> empty(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_10])]) ).
fof(f225,plain,
~ empty(sK21),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
~ empty(sK21),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f37,f143]) ).
fof(f143,plain,
( ? [X0] : ~ empty(X0)
=> ~ empty(sK21) ),
introduced(choice_axiom,[]) ).
fof(f37,axiom,
? [X0] : ~ empty(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_xboole_0) ).
fof(f276,plain,
spl27_9,
inference(avatar_split_clause,[],[f164,f273]) ).
fof(f164,plain,
empty(empty_set),
inference(cnf_transformation,[],[f31]) ).
fof(f31,axiom,
empty(empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f271,plain,
( spl27_6
| ~ spl27_8 ),
inference(avatar_split_clause,[],[f162,f268,f259]) ).
fof(f162,plain,
( ~ is_often_in(sK4,sK5,sK7)
| is_eventually_in(sK4,sK5,sK6) ),
inference(cnf_transformation,[],[f111]) ).
fof(f266,plain,
( spl27_6
| spl27_7 ),
inference(avatar_split_clause,[],[f160,f263,f259]) ).
fof(f160,plain,
( is_often_in(sK4,sK5,sK6)
| is_eventually_in(sK4,sK5,sK6) ),
inference(cnf_transformation,[],[f111]) ).
fof(f257,plain,
spl27_5,
inference(avatar_split_clause,[],[f159,f254]) ).
fof(f159,plain,
subset(sK6,sK7),
inference(cnf_transformation,[],[f111]) ).
fof(f252,plain,
spl27_4,
inference(avatar_split_clause,[],[f158,f249]) ).
fof(f158,plain,
net_str(sK5,sK4),
inference(cnf_transformation,[],[f111]) ).
fof(f247,plain,
~ spl27_3,
inference(avatar_split_clause,[],[f157,f244]) ).
fof(f157,plain,
~ empty_carrier(sK5),
inference(cnf_transformation,[],[f111]) ).
fof(f242,plain,
spl27_2,
inference(avatar_split_clause,[],[f156,f239]) ).
fof(f156,plain,
one_sorted_str(sK4),
inference(cnf_transformation,[],[f111]) ).
fof(f237,plain,
~ spl27_1,
inference(avatar_split_clause,[],[f155,f234]) ).
fof(f155,plain,
~ empty_carrier(sK4),
inference(cnf_transformation,[],[f111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.09 % Problem : SEU367+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31 % Computer : n007.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Fri May 3 11:41:05 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % (18704)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.32 % (18707)WARNING: value z3 for option sas not known
% 0.16/0.33 % (18705)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.33 % (18706)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.33 % (18710)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)
% 0.16/0.33 % (18708)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.33 % (18707)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)
% 0.16/0.33 % (18709)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)
% 0.16/0.33 % (18711)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)
% 0.16/0.33 TRYING [1]
% 0.16/0.33 TRYING [2]
% 0.16/0.34 TRYING [3]
% 0.16/0.34 TRYING [1]
% 0.16/0.35 TRYING [2]
% 0.16/0.37 TRYING [4]
% 0.16/0.40 TRYING [3]
% 0.16/0.46 TRYING [5]
% 0.16/0.51 TRYING [4]
% 2.69/0.72 TRYING [6]
% 4.42/0.95 TRYING [5]
% 7.43/1.37 TRYING [7]
% 7.85/1.43 TRYING [1]
% 7.85/1.43 TRYING [2]
% 7.85/1.43 TRYING [3]
% 8.11/1.46 TRYING [4]
% 8.59/1.55 TRYING [5]
% 10.19/1.80 TRYING [6]
% 14.67/2.43 TRYING [7]
% 16.39/2.66 TRYING [6]
% 16.86/2.76 TRYING [8]
% 25.45/3.96 TRYING [8]
% 37.99/5.84 % (18709)First to succeed.
% 39.03/5.94 % (18709)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-18704"
% 39.03/5.94 % (18709)Refutation found. Thanks to Tanya!
% 39.03/5.94 % SZS status Theorem for theBenchmark
% 39.03/5.94 % SZS output start Proof for theBenchmark
% See solution above
% 39.45/5.98 % (18709)------------------------------
% 39.45/5.98 % (18709)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 39.45/5.98 % (18709)Termination reason: Refutation
% 39.45/5.98
% 39.45/5.98 % (18709)Memory used [KB]: 34504
% 39.45/5.98 % (18709)Time elapsed: 5.618 s
% 39.45/5.98 % (18709)Instructions burned: 11243 (million)
% 39.45/5.98 % (18704)Success in time 5.647 s
%------------------------------------------------------------------------------